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"source": [
"# IN-PROGRESS : INCOMPLETE!\n",
"\n",
"## Enzyme Kinetics in a Michaelis-Menten modality\n",
"#### 3 Coupled Reactions: `S <-> P` , `E + S <-> ES*`, and `ES* <-> E + P` . Variation of experiment `enzyme_3` \n",
"A direct reaction and the same reaction, catalyzed by an enzyme `E` and showing the intermediate state. \n",
"Re-run from same initial concentrations of S (\"Substrate\") and P (\"Product\"), for various concentations of the enzyme `E`: from zero to hugely abundant \n",
"### Unlike in experiment `enzyme_4`, this time We'll comply with the customary Michaelis-Menten assumptions that `[E] << [S]` and that the rates satisfy `k1_reverse >> k2_forward` ! \n",
"#### We'll explore ..."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "fa624b19-3c94-4b37-a173-2c104a8c30da",
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"source": [
"LAST_REVISED = \"July 11, 2024\"\n",
"VERSION_BASED_ON = \"1.0.0.beta.37\" # Version of Life123 used for this experiment"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "42bc4ddb-c897-4d88-bc9d-92b7cef970cc",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import life123 # If can't find module, do: 1) import sys 2) sys.path.append(\"full path of folder containing life123\")"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "99ad0798-96f7-4e23-93ea-ed6438dbbbdd",
"metadata": {},
"outputs": [],
"source": [
"life123.check_version(VERSION_BASED_ON)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "9be92708-5f9f-417e-8eb6-940341fe6c0f",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 4,
"id": "087c0d08",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"from experiments.get_notebook_info import get_notebook_basename\n",
"\n",
"from life123 import ChemData, UniformCompartment, MovieTabular, GraphicLog\n",
"\n",
"import pandas as pd"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "b0ad0c93-02a5-43f4-8797-4b9f7ba50432",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-> Output will be LOGGED into the file 'enzyme_5.log.htm'\n"
]
}
],
"source": [
"# Initialize the HTML logging\n",
"log_file = get_notebook_basename() + \".log.htm\" # Use the notebook base filename for the log file\n",
"\n",
"# Set up the use of some specified graphic (Vue) components\n",
"GraphicLog.config(filename=log_file,\n",
" components=[\"vue_cytoscape_2\"],\n",
" extra_js=\"https://cdnjs.cloudflare.com/ajax/libs/cytoscape/3.21.2/cytoscape.umd.js\")"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "23c15e66-52e4-495b-aa3d-ecddd8d16942",
"metadata": {},
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"name": "stdout",
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"text": [
"Number of reactions: 3 (at temp. 25 C)\n",
"0: S <-> P (kF = 1 / kR = 0.2 / delta_G = -3,989.7 / K = 5) | 1st order in all reactants & products\n",
"1: E + S <-> ES* (kF = 100 / kR = 224.07 / delta_G = 2,000 / K = 0.44629) | 1st order in all reactants & products\n",
"2: ES* <-> E + P (kF = 200 / kR = 17.851 / delta_G = -5,989.7 / K = 11.204) | 1st order in all reactants & products\n",
"Set of chemicals involved in the above reactions: {'S', 'E', 'ES*', 'P'}\n",
"[GRAPHIC ELEMENT SENT TO LOG FILE `enzyme_4.log.htm`]\n"
]
}
],
"source": [
"# Initialize the system\n",
"chem_data = ChemData(names=[\"S\", \"P\", \"E\", \"ES*\"])\n",
" \n",
"# Reaction S <-> P , with 1st-order kinetics, favorable thermodynamics in the forward direction, \n",
"# and a forward rate that is much slower than it would be with the enzyme - as seen in the next reaction, below\n",
"chem_data.add_reaction(reactants=\"S\", products=\"P\",\n",
" forward_rate=1., delta_G=-3989.73)\n",
"\n",
" \n",
"# Reaction E + S <-> ES* , with 1st-order kinetics, and a forward rate that is much faster than it was without the enzyme\n",
"# Thermodynamically, the forward direction is at a disadvantage (higher energy state) because of the activation barrier in forming the transient state ES*\n",
"chem_data.add_reaction(reactants=[\"E\", \"S\"], products=[\"ES*\"],\n",
" forward_rate=100., delta_G=2000) \n",
" \n",
"# Reaction ES* <-> E + P , with 1st-order kinetics, and a forward rate that is much faster than it was without the enzyme\n",
"# Thermodynamically, the total energy change of this reaction and the previous one adds up to the same value as the reaction without the enzyme (-3989.73)\n",
"chem_data.add_reaction(reactants=[\"ES*\"], products=[\"E\", \"P\"],\n",
" forward_rate=200., delta_G=-5989.73)\n",
"\n",
"# NOTE: the forward_rate's of the last 2 reactions (the catalyzed ones) were tweaked, \n",
"# to lead to a crossover point [S] = [P] at about the same time as in experiment `enzyme3`, in step 2 (when [E] = 0.2)\n",
"\n",
"chem_data.describe_reactions()\n",
"\n",
"# Send the plot of the reaction network to the HTML log file\n",
"chem_data.plot_reaction_network(\"vue_cytoscape_2\")"
]
},
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"cell_type": "markdown",
"id": "5f3f488b-4cf1-4123-8dfd-9dfc2b9c64b7",
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"Note that `E` is not labeled as an \"enzyme\" because it doesn't appear as a catalyst in any of the registered reactions; it only becomes an enzyme in the context of the _compound_ reaction from (2) and (3)"
]
},
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"cell_type": "code",
"execution_count": null,
"id": "919280b2-fd0f-4557-9008-e154b64a2b66",
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"cell_type": "markdown",
"id": "0e771dda-1c0f-4fc0-ab21-049740643897",
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"source": [
"# 1. Set the initial concentrations of all the chemicals - starting with no enzyme"
]
},
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"cell_type": "code",
"execution_count": 7,
"id": "5563e467-a637-44fa-9ba1-d35ddd82c887",
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"text": [
"SYSTEM STATE at Time t = 0:\n",
"4 species:\n",
" Species 0 (S). Conc: 20.0\n",
" Species 1 (P). Conc: 0.0\n",
" Species 2 (E). Conc: 0.0\n",
" Species 3 (ES*). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'S', 'E', 'ES*', 'P'}\n"
]
}
],
"source": [
"dynamics = UniformCompartment(chem_data=chem_data, preset=\"mid\")\n",
"dynamics.set_conc(conc={\"S\": 20.}, snapshot=True) # Initially, no enzyme `E`\n",
"dynamics.describe_state()"
]
},
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"cell_type": "markdown",
"id": "651941bb-7098-4065-a598-e50c0b641ab3",
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"### Advance the reactions (for now without enzyme) to equilibrium"
]
},
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"execution_count": 8,
"id": "76f24d9a-a788-41d8-90a4-db87386f91aa",
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"27 total step(s) taken\n",
"Number of step re-do's because of negative concentrations: 0\n",
"Number of step re-do's because of elective soft aborts: 0\n",
"Norm usage: {'norm_A': 14, 'norm_B': 15, 'norm_C': 14, 'norm_D': 14}\n"
]
}
],
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"#dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()\n",
"\n",
"# Perform the reactions\n",
"dynamics.single_compartment_react(duration=4.0,\n",
" initial_step=0.1, variable_steps=True, explain_variable_steps=False)"
]
},
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"cell_type": "code",
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jvyOA5dRQBLKS36E6l/FJf3PHfJn3w4Wp//m7tutPa+Re+0VdjVv01be1rpOijw35nfETTY6bT/L1Ic33MzbyO4/hcb+YLeqXoXlkSp8gAAEIQAACEIAABCAQlQDyOySxqELL+2FRm1Ax5x7+1AzV0qj4z4tSp9uWu+La/b+uQNJ0AP4PYv58yXp+0Ic1N52AF1uYVCb+D+aNjKVaqIL65O+7PzWFPw+n9wP3M0tfdfKIuke1nJ1+tnq+f+VxvXZdaavlPv7XX3NyhLqHt66gMXrbc1d/vue8M5x8qXpo7lxdkRyUlsO/Ei1oLFqHxraW+Kg3vqhc3S+YvLGut5o7qIw7dmcMffn3vXX654dXUPzs4d/0x7+RNCpRRJGXzxsb3up/nvCKc7dvta65avMj6NoM4uHySmoeRL3e3euiVsyCng9qsY86Nu+1qfs3+Pn7OXrnnPfcMPGr9tymv/dfY95rN+ja9vfDf334r/2osWn0NUDH4o+Bv6/ulxN/ZHI9u89jWq7aytl6Y/PG0E1DVG2O+L8YidoXfwyD2gn7fF9rPuhjQe8ZlKUe3r9CCfPcX+050vscFHWOaJ3+eVLty0D/eTqOsLmyg3J++/8SIuprUNA8DXodiPIcVaa/zqg3N3kcAhCAAAQgAAEIQAACeSSA/A4ZFVdghN28yCtGvB+cglYB6YczTZni/dDqfmDzlo1SpytN/NIgKCWD26egfnrHG5TiIeyf9FaT39rPenxqhSioff1QqoeuyA3iWOt3Ws475lryxP9hXtmePGOas0lX0J+8B7Xr/QDtl93+zctqrexzJUeQJNLHgqR8kAAP2mwuSOIkwdWVIF5hGzTnguZDUJz0vKDrttbv/PEP+fQw4LSwfdZCXokVJFiCrtegv0BRdheZTR29G8QF8az2PKZ9/toXP+7kKa+2OtpmHkR57qo2Pv3Srt4XbfXS30QZm/fa9M9J90sq/+/910/Y+AXNs6AvXIOuu1piLSjdlH9+1otNXK8B/ufqoPG5/fU+N9WS1crN+7rpH1vQKmI3rkFfkHmvwSh9qRU/b51Rnu+rPffUuob9PMI89wfNKX8b9eZI0JfN/i82gl6rg54ro7zXiiK/o7y2B80/7+t91OeoJFflN/IaRRkIQAACEIAABCAAAQg0GwHkd8iIux9aw/7par3VsmFSIugHJj00jYoeUeoM+lCodQTJ92ryROt48rmXHblQq+2g1A9+rLVWfvvTRoRdJVVtjN62q33o9MvSan9qHTTuMB9kq0k2f3qOetLWO9/qye8wc8plE5QmJIoYTIJrtbiHmV/VOFYbk3/u2P5pund1b9gvyDQWtf7Ev17u6tNOOrbmBqRuee8cCnNtJTEPojx31bp2/M8V/ueZeulvooyt2pyq9rzj/71t/GrNSe81Ueu60b848n/x5cbCnae1YuO9zm1eA2qx8I6lWnz8zzfV2AT10c/HfV31bogadK2E7Uu1txD1Vn57N8SN8vxTLd5hXpe0r2Ffg7T/v336RecLtSjXb7Xrw8+42vVlm/ak1spv75eDUV7b/V+qRX2Oqve8FPJtKKdBAAIQgAAEIAABCEAAAg0SQH6HBJeG/A76s/x6q9Pc7vs/8FX7cOb/kF1PSnjzKLuri6PIPbd/ScjvamP0hrSaKPCPO4r8ricQa4kC/4fotOR3UGoQ5eQVY1HEYBJc3fnfSKqRKOkNgr4EiiKf6j1lRNnwMsz1F5T2xf/FmHdM/v6512tYqZTEPIgiz9wV61G+zHHH7P3CLihOUcZW7doM+/tq52m/guLn76/3rwJqpf5pRIZqGfc6qye1vQK90dcA78rhWl8ghxXOtb749NcR9CWum2bq4gvOdP5CSGO18MHFg1aRB/0lTFjJnIT8rnUNV+tXved+7xd31f6yIsr1W+8ac5+PqvU37POUXi9RVn7737eE+aLEvSb94j7qcxTyu96rJo9DAAIQgAAEIAABCEAgWQLI75B83Q8vYcVvlA+Lbt3+NBQ2wriaEPFLvqB8tH4kXvESlEO0Xk5mV/Z403hE4VMtRDYS2v+n3mHld61++z8o15pargBKWn57BZpXbAS1W09ahJFljXJ1WQV9ARTmry2CxlNLovj/tD5O+a1jCfPFjJ5Xq4/VpJXLyvvFmHtdeln56w47xiTmQdTrPSivdJjn3jzJ7yjxq/Zc4b1+g+Kuv6v2PBh0LXnbcb9ciCK/3fZqvUZUG4tXgHvPqZc6Juj1o5aA9qfS8H7heN8vHpenlixz/prKK7y1vsMmjh/wlxRhRXy98QalPfG/Zoa9Nmud52cS5bk/6H1AmNQzQfMv6D2Cl5HLoxrfrOR3tfnp7bv3OSjKcxTyO+QbbU6DAAQgAAEIQAACEIBAQgSQ3yHBBuUnrVU0iuwJ+yE7Sp1h5XfQn3uHRNIv7qpt9Oatx0bkV+tPGMGYxArlsNI9jKxLWn5XWyFpI79rCTebFfX+OHtlRL1cz3la+a3jCMplGzSPw6z8rjf2akIsbCz8/Qorv6PMgyjPXUGcXKFW74u2epIpytjCrvB2++s/v15fwj7Pes9z6/Suiq+18lvLummzqrVXKzb1Uku5cyzMa4C/fXfeeiVr2NfCKCu/vWlefmr21zh15vQB+0HonNINTf3P12H7EoVrlOf7oHqjyO8oz/3+ttyyYb7wDPqrs3opmdznyKCV9VnJb/f5rJG/PHLL6n3Qc1QSzwWNPH9QBgIQgAAEIAABCEAAAs1KAPkdIfLuSp9aK1H1Q+Pf3nJ9pByZYf9sPYpAqrYyLkrOby8a/UCqK7e9OTP18XpyxK0jCfldq203j2wSuamr1enNkRpGzCubKDKk1qrWsHPIjUdQu9VSMUTJjeqvN8qKel2V6c/pXCt1hHd+VjuvWhziyPld7ZpwRUjQ5qP+p5taoiesBKo29qDytb4UO/2U450NL5OYB1Geu9znUC+rqCtjq0nyKGOzld9h41ftJUjbv+Rdb3di4j38c1r/HyQbw147tWLjbcvmNUDjp6LzPWZTVu/hfy4NK5yj5PzW9tx6vXm+a/3e+5j/y4Ms057UipW/X2Ff+4KuN/c5LMxfB/ifU8K+J6iXGzzMl8dxpz0JG9uoz1Fh643wdpRTIQABCEAAAhCAAAQgAIEIBJDfEWC5H4hVAvs/mPlXsUWRPa5U967wdH/XaM5vf/oJ7Xu1vKtu3/0rnvT8j//115w8qG59/jy8+sE3jORLQn674/G3781nG9TvIDZhJa1yDKrTu7pQvyCoxsuVCm6so8jvWgKw3qZ33i9s3Da1L15JWK0vQXM5bq7VYhl2BXU9jt657U95ohzCylXv00W1GLvpJuqtUvbOpWqip1r+cO3vM0tfdb5oqzWftQ1v3UHpm8LmobeZB1GeD3Uu+1cSBz1HBj1110tLFGWO28pv7V+Y+FV7CQqKVVCs662C1tcr/18PaJmTZ0wbsJmh/7ndrdedxzavAUGvMUF/TRVWfntfi/1pU/Qxfc3yHu5Y/K8VLuOgletR+hJ2LtZ7ngqT4skfF+88847Dbavec3/QHPU/R0a5ft3XuCCmeh3/kXl91C9BguLvfY+Shfyu9jrkzrevffHjzpdRUZ+j6v21WMS3oZwOAQhAAAIQgAAEIAABCEQkgPyOCExPr5Yn2/shM+qHRX/+SK3ru0Zw2eTJ9ueL1Q+j+sHz1q//66A/za2W7zJIGnqRhd2ULgn57fbDn9s2qE/+PKT+D9ZR5Lfbrr/OoD+XDsp/6u1fVBnizyPsiqlaH669slv7rv3Uw7uRnTsm/zxUsVRvLnvngw3XoPzGYb5Y0fZrrXINmtt+ydSI/NZ2w+RkrvUUE2Z1cJjnG38/lJte65/s+vqgL+qC+uznEfc8qDeHvNdEULyipNWot8oy7NjikN9hXy+qzZGgvOFBUtD7HOhnVS33uCuNXd5aTl9vvIdfmgfNxbCvAf7nIfe5yPvXHlGFs39s1Z4vgr7w0vaDBKz3dSVvG166ffOPW+eEpnTxvl/wPi+65ao99wflr7Z5P6PtBdXpn5v+a10f17EEPW8FXSNxr/yu9p5Cfx+UA93bp2rPUY2+ttR63eAxCEAAAhCAAAQgAAEIQCAaAeR3NF6FP5vck4UPIQOAAARqEAjzhQIADxCot1oeVhCAQOMEwv51XOMtUBICEIAABCAAAQhAAAIQqEcA+V2PUIEf1w9d3pV7SI4CB5OuQwACoQkEpYYIXbjJTuR1ockCznBTI8DzUGqoaQgCEIAABCAAAQhAAAI1CSC/SzxBglJuhMmjWWIkDA0CEGgSAu7zX5g8yk2CJHCYyO9mjj5jT4qAm4qI91xJEaZeCEAAAhCAAAQgAAEIhCeA/A7PijMhAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCECgIASQ3wUJFN2EAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIACB8ASQ3+FZcSYEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQgUhADyuyCBopsQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAQngDyOzwrzoQABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAIGCEEB+FyRQdBMCEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAATCE0B+h2fFmRCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIFAQAsjvggSKbkIAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEB4Asjv8Kw4EwIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABApCAPldkEDRTQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEAhPAPkdnhVnQgACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAQEEIIL8LEii6CQEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAuEJIL/Ds+JMCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQKAgB5HdBAkU3IQABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAIDwB5Hd4VpwJAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACBSGA/C5IoOgmBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIhCeA/A7PijMhAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCECgIASQ3wUJFN2EAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIACB8ASQ3+FZcSYEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQgUhADyuyCBopsQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAQngDyOzwrzoQABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAIGCEEB+FyRQdBMCEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAATCE0B+h2fFmRCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIFAQAsjvggSKbkIAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEB4Asjv8Kw4EwIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABApCAPkdQ6C27tgjW3fujaEmqoBAMIHDx4+QNRt3ggcCiREY0tIiEw9ul3WbdiXWBhVDoHVIi0wY2y5vvMU8YzYkR2Bo2xA5aNRQeXNLT3KNUHPTE2gfOkRGjxgqG7uZZ00/GRIEMHxYq4xsb5VNW3cn2ApVNzsB5lmzz4B0xq/PZcOGtsrmbcV8PlMnw1FcAsjvGGKH/I4BIlXUJID8ZoIkTQD5nTRh6lcCyG/mQRoEkN9pUKYN5DdzIA0CSMk0KNMG84w5kAYB5HcalGmjGgHkdwxzA/kdA0SqQH4zBzIlgPzOFH/TNI78bppQZzpQ5Hem+JumceR304Q604EiJTPF3zSNM8+aJtSZDhT5nSn+pm8c+W05BT7/+c/LjZ/6bOppTzZuWC8PP3CfXNE513IE0Yu/tPRZWbtmlZz3rvdGL5frsHcAACAASURBVGxK/PM//n/yJ3/2Vw2VffgX98thhx8hx82YFbm8LbN75s+T8y68RMZPmBi57Wef+o1s39Ytbz/nnZHLagEbZt4GH1/0Sxk1ukNmnXpGQ/1wC+3u6ZF//d6d8kd/8gmreoIKf/ef/0E+dNV1Mqy9Pfa6vRUuf/VlefmF5+Tdl3wg0XaqVW57Hdl22j8n8yK/t3ZvkZ8smC+dV11rO8TYy8//3jfkfXM6ZUzH2Njrtqkwruvapg9hy3rld5H67R2fzetQWE5ZnWf7WpVVv/3tBsnvtatfl98uflQu/UBnXrqZST+SfP3OZEApN+q9/pHf6cLP+n1buqM90FoZpWRa7/WzilkR283bPPv5ff8px55wkkyddmwRcdLnKgSKLL/Vx3R1dRHbAhNoevn9xzfeKr96YumAEC55aN6A/18+92ZZtny187vpUyfLj+Z9qf9x5Hf02W8jcm2kA/JbJC7ZlOSH57TeEGf9IQr5HfzcgfyO/pwa13UdveXoJZDf0ZmlWQL5nSbtbNpK8vU7mxGl2yryO13e3tayft+W1cjzJiXj4JDWe/04+tosdeRtniG/yznzkN/ljGtRRtX08vvcOTfIIwtu74/XZ778TVm0+Nn+36kc37ipu194qwgfP65Dvn3bp50yyO/oUx35nS4zb2txSbIkPzyn9YY46w9RyG/kd/RnguAScV3XcfWnVj3I7zQoN94G8rtxdkUpmeTrd1EY2PQT+W1Dz65s1u/b7HrfeOm8ScnGR3KgZFrv9ePoa7PUkbd5hvwu58xDfpczrkUZVdPLb3+gnl36qnRe/wWZf8ctMmvGNFE5/hfXfVDmXHyOc+qChYvk7+784QBhTs7vokz34vaTDS+LG7ui9DwvaU+Kwot+NkaAnN+NcaNUNALk/I7Gi7MbI0Dak8a4USoagbxJyWi95+yiEGCeFSVSxe5nkeW3klcnw1FcAshvX+xu/9Y9cvePH3Tktl+E66lBv0N+F/cCKErPkd9FiVRx+4n8Lm7sitRz5HeRolXcviK/ixu7IvUc+V2kaBW3r0jJ4sauSD1nnhUpWsXtK/I7udj5M1Qk11L8NQc51vhbEUF+e6i60L900zXOSu8w8vspU/62ffvlsz29Mnn//iRiRJ0QkDEjh4p+ycIBgaQItLS0yKjhrbJt596kmqBeCIjOs5Fmnm1nnjEbEiQwZEiL6Af5Hbt4PksQc9NX3draIsPaWmVnD/Os6SdDggDaWofI0LYWM896E2yFqpudAPOs2WdAOuPXxQm6EGbX7mI+n6mTyeoI2qtw3EFj+jNSZCG/NSvGzV+9S1x/2igb5Hej5Bos5wK/7sOXyQ1XX+HUEkZ+a87vz5ldX4eb8/947z751J5eGZ+CA1+//g352f3/JX/4R1c3OOLGiy157hlZtfJ1uei9lzZUyW1/82W58VOfbajsT82YjzjyKJl50smRy9sy+8F3vyXvMWOeOPHQyG0/8ZvF0r21W86/4MLIZbWADTNvgw89+IB0jOmQ2Wec2VA/3EI9Pbvkrm/8k3zs4zda1RNU+Otfu02uufZPpb1dr6rkjmUvvyTPL3lGLpvze8k1UqNm2+vIttP+OZkX+d29ZYvc/cMfyDUf/ZjtEGMvf9c3vy5XfvAPpWPs2Njrtqkwruvapg9hy3rld5H67R2fzetQWE5ZnWf7WpVVv/3tBsnvlStXyOP/s0h+v/MP8tLNTPqR5Ot3JgNKuVHv9Y/8Thd+1u/b0h3tgdbKKCXTeq+fVcyK2G7e5tm9C/5dTpx5skw/9rgi4qTPVQgUWX6rj+ky3i+LY+b5c8Urut0+qBA/dMLB8pXPflSykN9xsUB+x0UyRD3uNxZunm9vkaCc3/rtxpKH5jmnqfx+6eb/I/9hvpXvaRE5pne/XG6+ybrcrAKZbn5O6ti4Yb08/MB9ckXn3KSaqFqv7UZ9bHgZPWQ2zLytxbUxXpIbZqW1CU7WGyfZXkfRZ9HAEv6N7fKS9mRr9xb5yYL50nnVtbZDjL38/O99Q943p1PGdORLfsd1XccOLKBCNrxMg3LjbbDhZePsilIyydfvojCw6ScbXtrQsyub9fs2u943XrqM6SjSeq/fOPXmK5m3ecaGl+Wcg0VOe6I+Jgv5rYL75VdXDdhzMGh2uPJbH/vVE0udU6oJc/dxPcfrQNV9nnPmLFm0+FnZtHmrU4cuDj5y8kRnhbd7uGWCpLV/hbq7uDho5brrVJHfKV3vQRtYepvWIG3c1C0/mvcl59f+b1RUfusq5n8zovtH7a1yr/kzWz1mmlXgFQneK0eYtChxH8jvWZGR2jK7Z/48Oe/CS2T8hImR27YVCsjvyMjrFsj6QxTyOzhEyO+6U3fQCcjv6MxsSnjll009eSxr+1qVlzEF5fxeu/p1+e3iR+XSD3TmpZuZ9AP5bYcd+W3Hz6Z01u/bbPpuUzZvUtJmLG5Z5HccFOOtI2/zDPkdb3zzUhvyO3okdNX3Ze/5HWd1d61DPeWy5asdWe1mslCZfey0I+Tbt33aKep3m7rf4Z3fv7d/Ya+er9Lbldvu4/70KlqX+lG/tPaLen387//535z29bFP/snvy6wZ05y+aH+r1ROdUrgSTZ3z2w1WECpv3hp3Iul506dO7hfhbjl3w0tV3CrAf2QE+M/6JPjpKsGNAJ9jRPj4BCR4uDBzVtEJsOFl0SOY//7nZeV3/knRQxsCbHhpQ4+yYQmw4WVYUpxnQ4ANL23oUTYsgbxJybD95rxiEWCeFSteRe1tkeW3Mlcnk+bh35OwVttBaU8+8+VvyvMvrQgU1W5dKryvfP8FjjB3V367oj1oRbbWqSvDH1lw+wD5rfV1Xv+F0Pm/Vazf/eMHB9XjyvEkODe1/I4LqCu/3fp2mvQnugL8R+1t8vDQIc6vz9lTkeCX794ro+JfCB7XUKgnpwSQ3zkNTIm6hfwuUTBzPBTkd46DU6KuIb9LFMwcDwX5nePglKhrSMkSBTPHQ2Ge5Tg4Jeoa8jtaMOOU326q56AeuKvFq8lv78LgatL6lRVrnNQobiqToHbcleXex/R80p5EmxeZnu2X325nNre09KdCebxPgl+oqVD60qFUEqRwQKA+AeR3fUacYUcA+W3Hj9LhCCC/w3HiLDsCyG87fpQORwD5HY4TZ9kRQEra8aN0OALMs3CcOMuOAPI7Or8oaU/Gj+voT3GiLXlXfrvyu56c1pzf/pXfcchvHcdZs2f098+bcgX5HX1eZFLCzfm9defequ2vG9LStxK8VZ5qq6wEv7RPgF9i7hs5bPNXN9KmW8Y2V7FN/mqbXKu2zMj5fWDWJJkzNK08gFnnjrS9jmyuYS3LhpfRCbLhZXRm/hJseGnPMMkayPmdJN181J3k63c+RphsL8j5nSzfWrVn/b4tq5GXUUqm9V4/q5gVsd28zTNyfhdxFtXvc5Hld143vFTBrbI6bNoTr8j2R8xm5bfWVS3tSZB4R37Xv15yd0YY+e12ekWrWQnupENplRdah8hQ84CTCsXc3rknmgS3Fbk2IG2lHfI7On0bZt7W4toYL8kPz2m9Ic76Q5TtdRR9Fg0sgfyOThD5HZ0Z8tueWZo1IL/TpJ1NW0m+fmczonRbRX6ny9vbWtbv27Iaed6kZBwc0nqvH0dfm6WOvM0z5Hc5Zx7yu7G46qpp76aTWosrlN3NMOvJby2jm07+6omlA1KTqDw/a/aJMufic6rm/A6z8ltzdWsfNm3udvJ46+FueKkbXfrFuI5JD9KeNDYnMikVRX67HXzRiG93Y8zlRoiP2b+/f1PMs01u8DAH8ntWGEwDzrFlxsrvAziT/PCc1hvirD9EIb+DL+Gt3VvkJwvmS+dV10a+xpMugPy2J8zKb3uGSdaA/E6Sbj7qTvL1Ox8jTLYXyO9k+daqPev3bVmNPG9SMg4Oab3Xj6OvzVJH3uYZ8rucMw/53XhcXXHtrcErpcPIby0bVI+bCsVm5be7UaX2Y9ny1f3ddPuokv3enz3a/3vNM37n9+9Ffjc+JbIpWS3nd73ePG1SoOhK8HvNSvC1JjXKxH1GgvelQzltbzgJXq8NHi8HAXJ+lyOOeR4FOb/zHJ3y9I2c3+WJZZ5HQs7vPEenPH0j53d5YpnnkeRNSuaZFX1rnADzrHF2lAxPoMjyW0epToajuARa9pujuN3PR88bld9u7xerBDcCXG9vmU0yj1IJblKhzDG3E3qR4PmIcra9QH5ny78ZWkd+N0OUsx8j8jv7GDRDD5DfzRDl7MeI/M4+Bs3QA6RkM0Q5+zEyz7KPQTP0APndDFHO7xiR3zHExlZ+u13476EqwduczTF3tIgc17vfCPC9zmrwqeZnjuYlgPxu3tinNXLkd1qkm7sd5Hdzxz+t0SO/0yLd3O0gv5s7/mmNHimZFunmbod51tzxT2v0yO+0SNNOEAHkt+W8aCTnd70mf66bYvZtjKnrvk8xKVDcdCiTzKpwPWzzV9frQ63HbXMV22ze6M21GHUMtszI+X2AeJI5Q9PKA5h17kjb6yjq/Pefz4aX0QmS8zs6M38Jcn7bM0yyBnJ+J0k3H3Un+fqdjxEm2wtyfifLt1btWb9vy2rkZZSSab3XzypmRWw3b/OMnN9FnEX1+1xk+a0Oq6urq/4gOSO3BJDflqFJQn67XfpxnwC/39zrcZbZDNOV4L1vviEPP3CfXNE513IE0YvbSjvkd3TmNsy8rT2+6JcyanSHzDr1jOid8JRI8sNzWm+Is/4QZXsdWQXQFEZ+RyeI/I7OzF8C+W3PMMkakN9J0s1H3Um+fudjhMn2AvmdLN9atWf9vi2rkedNSsbBIa33+nH0tVnqyNs8Q36Xc+Yhv8sZ16KMCvltGakk5bd2bbdJf6JpUDQf+C+HViT4eUaCX7pytbQv/C/53Q/OtRxB9OK20s5G5LLyO3q8vCWQ3wdoZP0hyvY6spsJyO9G+CG/G6E2sAzy255hkjUgv5Okm4+6kd92cUB+2/GzKZ31+zabvtuUzZuUtBmLWxb5HQfFeOvI2zxDfscb37zUhvzOSySasx/I7xjiHlfO73pdudsI8H8YMVSWtxojbo6ZJh3KJ3bulYtMTvC2eoV5vNAEyPld6PAVovPk/C5EmArfSXJ+Fz6EhRgAOb8LEabCd5Kc34UPYSEGkDcpWQhodDIyAeZZZGQUaIBAkeW3DledDEdxCSC/Y4hdWvJbu7rX3O42m2L+zcg2WT+kIsF1M8xrdu2V/202x2xnX8wYIpq/KpDf+YtJ2XqE/C5bRPM5HuR3PuNStl4hv8sW0XyOB/mdz7iUrVdIybJFNJ/jYZ7lMy5l6xXyu2wRLdZ4kN8xxCtN+e12t8d47/9nJPhdw9v6V4JPNJthfthI8Gt29UrHfix4DKHNTRXI79yEorQdQX6XNrS5GhjyO1fhKG1nkN+lDW2uBob8zlU4StsZpGRpQ5urgTHPchWO0nYG+V3a0BZiYMhvyzAlnfO7Wvc2bljvbHh5wYc+IguHDRHdFPMXfRtj6krwi00qlPea2xkmNUrch22uYnJ+R4+IDTNva+T8PkAj69yRttdR9Fk0sAQbXkYnSM7v6Mz8Jcj5bc8wyRrI+Z0k3XzUTc5vuziQ89uOn03prN+32fTdpmwZpSQ5v21mRDJl8zbPyPmdTJyzrrXI8lt9TFdXV9YIad+CAPLbAp4WzVp+X9E51xnBHnNbaOS3SnC96UaZE8xK8IoE3yfn7+m1HOmB4rbSzkbksuGlXRiR3wf4Zf0hyvY6spsJbHjZCD/kdyPUBpZBftszTLIG5HeSdPNRN/LbLg7Ibzt+NqWzft9m03ebsnmTkjZjccsiv+OgGG8deZtnyO9445uX2pDfeYlEPP2YeX7FRbrH9KmT5UfzvhRP5QnUgvy2hJoX+e0dxi+HtjqrwVWGbzR5wYebDCi6ClxvcWyOaSvtkN/RJ50NM29ryO8DNLL+EGV7HUWfRQNLsPI7OkHkd3Rm/hLIb3uGSdaA/E6Sbj7qRn7bxQH5bcfPpnTW79ts+m5TNm9S0mYsblnkdxwU460jb/MM+R1vfPNSG/I7L5Gw78e5c26Qc86cJV/57Ef7K7t87s3Ib3u0+a4hi5zfYYgsbjPpUNpb5adGhq9orWyO+e4+CX6xWQ0+lrzgYTDm4hxyfuciDKXuBDm/Sx3e3AyOnN+5CUWpO0LO71KHNzeDI+d3bkJR6o7kTUqWGnYTD4551sTBT3HoRZbfikmdDIf5C/Klr0rn9V+Q+XfcIrNmTCsMElZ+xxCqvMpvd2jPqwQ3q8AXDh0i+rMeZ+/Z158XfLJJj8KRbwLI73zHpwy9Q36XIYr5HwPyO/8xKkMPkd9liGL+x4D8zn+MytBDpGQZopj/MTDP8h+jMvQQ+d1YFNeZYi80VtSq1CRT+oQqNejK73EHdeR6pbe/68hvq+lQKZx3+e0OUVd/ayoUvemqcD1ONhtial5wXQl+fG/8m2PGgJcqDAHkN9MgaQLI76QJU78SQH4zD9IggPxOgzJtIL+ZA2kQQEqmQZk2mGfMgTQIIL8bozzPFPtIY0WtSs01pb9TowZ/zu/rPnyZ3HD1FVZtJlkY+W1JN485v+sNSfOA60rwn5q84JofXI9pve7mmL0y2wjxWodtrmKb/NVseFkvurUfJ+f3AT5Z5460vY7sZgIbXjbCj5zfjVAbWIac3/YMk6yBnN9J0s1H3eT8tosDOb/t+NmUzvp9m03fbcqWUUqS89tmRiRTNm/zjJzfycQ561qLLL/VYXV1dWWCcKFp9dYMWr7ItHlTyHZv/9Y9cuf375Uv3XSNzLn4nJCl0j0N+W3Ju4jy2x1yj0kDrqvAVYTrba95YKJJgaIrwXVzzHeY1ChBh620Q35Hn3Q2zLytIb+R3y4BNryMfh0iv6Mz85dAftszTLIG5HeSdPNRN/LbLg7Ibzt+NqWR37tt8OWqLPI7V+FwOoP8zl9Mytgj5HcZo3pgTJoK5cr3X5Db1d/Ib8v5V2T57R36L/ol+BDZ3NIio0wa8Eo6lMqtkiSlciC/J0aeNbZCAfkdGXndAll/iLK9juoOsM4JyO/oBJHf0Zn5SyC/7RkmWYPta1WSfYtSd1Dak7WrX5ffLn5ULv1AZ5SqSncu8tsupMhvO342pbN+32bTd5uyeZOSNmNxyyK/46AYbx1pzrPte7bJpp0baw7gyYcWyeHTjpZDj5psPdC121ZL735d5pePY9feHnlzh2Zxzs+xfscbsru3J/EO6fsz/Sywy/ilWsfe/b2iccvTceLSYzJb+Z0nDtqXBQsXyXfm3z8g37f+7uav3iVLHpqXt+729wf5HUNoipLzO8xQHzebYrp5wVeaJyY9LupbCa55wcfsZ3PMMBzjPoec33ETpT4/AXJ+MyfSIEDO7zQo0wY5v5kDaRAg53calGkjTSlpSzuM1NQ2undvke6ezbbNyd59e2MTZBVBWlvIhemwjm1Lz5Ywp9Y8p2fvLlEhGcexauuKutXop/4WswBuX43P+iqsNcYcEGhGAn9x5s3yt+/9YjMOPXDMl8+9WZYtH/gFRZ7Ftw4C+R3D9C2T/HZxPGe+ldNUKAtNXvAXWivrvv+XSYOi6VB0JfhhJj0KR3oEkN/psW7WlpDfzRr5dMeN/E6Xd7O2hvxu1sinO27kd7q802ptZXd9Uah9CSMU9bww9e3d1yvrtgevcmwzn8OGtrXIzp5eCbsaMqw47endZVag1hesYaV2WjGinWITGDV0tIwbMT61QRw2erK0trSl1l69hoa3tcshIyfVOy3Vx8cNHy+jho5KvM2wK7+1I0eMOSrx/kRpYOYhp8i7jz8rShHOzRkB5HcMASmj/HaxbDdfA/+/9jb5xog2Wdu3Elzzgl+7a69cuatXxrESPIYZVL8K5Hd9RpxhRwD5bceP0uEIIL/DceIsOwLIbzt+lA5HoFnkt66I1RW2/qPa6t1aq3Gr/Wn99j3bZdOu4DQI9eRx2JQG1cYRLtqcFYZAWKnZMWysdLQfFKbKmue0DWkTFZtxHFpPW0urdVVjzNjGto+1rqe9bbhMHHmodT1awRFjptStp90sehthFr1t3ran6rkqrDXGHBBolECRc37rmNXJcBSXAPLbMnZlyfldD4O+5b2nvVXuGt4mQ597RqauWCH3X3a5swr8wz175ewqm2MG1WuTv9qba7Fen/2Pb9ywXh5+4D65onNu1KLO+ffMnyfnXXiJjJ9Azu8kc4amlQcw69yR5PwOvgy3dm+RnyyYL51XXdvQdZpkIXJ+29Ml57c9wyRrIOd3knTzUXeSr9/5GGGyvQib87taeoBaK22rSV6VwjuMHPYfPSY/a7W0CFWFtUk1odLaf8SZPiKpCJwgJ8ip5t988y/J48iO+qJQ2w8jFPW8MPW1DWmVw0YFS1zvyu9WI2fDyN6w4rS9dbhZgVpfsIaV2mHjktZ7/bD94Tw2vGQOpEOgyPJbHVZXV1c6oGglEQLIb0uszSK/vZj+4+Ul8vzaVXLnB+b0/3p67375kJHgYVaDI7+jTzobZt7WHl/0Sxk1ukNmnXpG9E54SiT54TmtN8TI79/I9m3d8vZz3ulENi8rv5Hf0S/NuK7r6C1HL4H8js4szRLI7zRpZ9NWkq/fWYwoSNpqGgeVzO6h+Xe9+YVVGvtTPaw1KSc09YR7bNq5weS2PSCcd+gGbUZCv2PnubK2ba28PHSZaI7c10OmyMiCTVxt6upTlan+Q/9E/uDhEwKbqSZ8nbpa2weVGWnq0j+7DzrcurrXbJLNKzfIUWcdN+C0sCkNnJW9ZqVw0Y4i5fwOyzat9/ph+8N5yG/mQDoEkN/pcKaVYALIb8uZ0Yzy212xOvKi98mD5k+kHjKbZD5tcoTroSlR3mlWgV9gVoSfv6dXRgekBrcRuaz8tpuwcUmyJD88p/WGGPmN/I56NbHyOyqxwecjv+0ZJlkD8jtJuvmoO67X724jlLd4Nqzr3T9447k1uoGcJ12GfwVz0Mpl/+rnt3YNlNBZ5x6eI3Nkufn3lPlX66iWHqDWStvDNS9tgJzVFAqaJsJ/1FoFXE30aqqJoLriTB+R1EzP+n1bUuOqVy/yux4hHo+DQN7m2c/v+0859oSTZOq0Y+MYHnXkhADyOyeBaNJuZCK/z51zg2zavDUQed53CA3qdJlzfoe5LjaZnaEfNDnCHhra6ty/Zf6vx5l7KxL8AiPDZ5mfORonQM7vxtlRMhyBvKz8DtdbzioqAXJ+FzVyxep3M+X89kpob0oN/4roSl7kyspmldDeVc1BQtm/md/67QNXU+dpRvhXGWsaB5XM7uHIY09+4aAUE5NMygn9vXuMGzFhwOZfQdJ6mFn8ceKh02Vjd0+ecNCXkhHIm5QsGV6G00eAecZUSINAkeW38iHndxqzJLk2Upffl8+9WcaP65Bv3/bp5EaVcs3NLr+9uJ8yK8B1JbiuCP9N32rwCWY1+PlGgL/TrAS/YPc+6WCTzMgzFPkdGRkFIhJAfkcExukNEUB+N4SNQhEJ5EF+e4Wyf1W0d0W0dzW05mLWFB169OzdNSCfs1dG50FE+3MAt7YM3njOny7Dv4J5mEl/4d/Qzb9iWdNqaHoN94g793DEqTXg9GbZ8NKGEWXtCSAl7RlSQ30CzLP6jDjDngDy254hNTROIHX5PfP8ufKlm66RORef03ivc1YS+T04IFvN4u/KSnBzMzJ8/ZDKavDTPavBT2U1eOiZjPwOjYoTGySA/G4QHMUiEUB+R8LFyQ0SqCW/dXW0ymP3GCCVNVe0kc56qITe2rcxoD89hzc1R2VFtW4LblZU79QV1dsa7HVjxTrMquaxfaua/auTvSuivbmWDza5lb1COWhzPP9mftXSeDTW63KUQn6XI455HwVSMu8RKkf/mGfliGPeR4H8znuEyt0/5HdffJ9d+qp0Xv8FmX/HLTJrxrT+qC9YuEhu/updg2aBm56lmXN+n/eu94a6Op43K8BVgD9oZPhj5v5zn/+8/MMttzirwDUv+DvN/cEhV4OT8zsU8qonkfP7AJqsc0e6ufPDXkd2kR9c2p/bNy/ymw0vo0c6rus6esvRS5DzOzqzNEvkNef3rr07ZZuRytt2dzv3W8399t19933/39qz1YjnreaxrbJj7zbZ1btVNu0w5/eVGburQ87ae6Z8Z/93Ekc6vG2EDDcbBI5oGynDW0eYe/P/oXqv/ze/H2ruze+c3zv3I82t73z391puWN/5Wk5/b+qo1Kf/H+78LuoRV87vqO2W5Xzv+1Dkd7pRzfp9W7qjPdBaGaVkWvv7ZBWzIrabt3lGzu8izqL6fS6y/NZ967q6uuoPkjNySyB1+a1pTy4893S54eorcgPFm4M8SH7/3Z0/lEcW3B7YX+R3+DD2mMXfKsBX3vYVuev/3CKr+laD6wpwzQuu+cF1ZXitA/kdnnfQmXFJsiQ/PKf1hjjrD1HI7+C5jPyOfo3HdV1Hbzl6CeR3dGZplkhCfrvpP7ypP9y0H27KDzfdhzfVh7siO64UH1Nlqpxv/v1gyA9EU2u4h/6sKTv08K5u9qbo8Kfn8K6o9uaX1hXYuhI7z0eSr995HndcfUN+x0Uyej1Zv2+L3uN4SuRNSsYxqrTe68fR12apI2/zDPldzpmH/C5nXIsyqtTlt66kriWTswJXa+U38ntgVGylnX5rdv4nPt2fFuVhsxpcjzFm9beuAr/ArAbXHOGHmFzh/gP5bXeFxCXJkvzwnNYb4qw/RNleR3YzQYSV39EJzv/eN+R9czplTEe+5FZc13V0ItFLIL+jM0uzhPu8cMbvvMOsmN5qVlmbm1lRrfe6orqyslpXUx9Yha0rq/Ux53y3TN+9rsbevc9+M0BN5zF66GgZPazD3EbLGOd+jPmduem9uY0xt1Hm/3o/dniHTBo7Tnp3tztl9Hc7NmyVF596Wi79wIfSmwG/JAAAIABJREFURJq7tpJ8/c7dYBPoEPI7Aaghq8z6fVvIbsZ+Wt6kZBwDTOu9fhx9bZY68jbPkN/lnHnI73LE1XWn3tGMO2hM1QXDeRl16vJbc37XOtx0ImkDipL2xN9Hcn43Hi1d5/1QX15wXRX+WmslN/gsz2rwM8kN7uwsvGbjzsZBUxICdQjkJe0JgSo3AXJ+Jxvfffv3OTmnt/ZoepADMtoR1+ZWkdSDU4d4U4psc8puk517d1h3dmjrMEdaj2nvMGK6T1p7JLYjs1VYOxK7IrYrv6uc65QxZfX/WlfYIw8bXobtK+cVlwBpT4obuyL1PG9Sskjs6Gt4Asyz8Kw4s3ECRZbfOmp1MhxmEV1Ayug/vvFWefnVVbkW4KnL77xOlmry299fDerGTd3yo3lfyutQCtuvV0zPF3puun3UaHO72Nw0u7jeH17Y0dFxCEAAAhCAQHUCukpa5XS3kc96c37e1Xfv/l/vzXn9j7vnen6nq7Jtj9aWVukwq6d1xXSHkc/99+2V/wf9bsC5nrKam5oDAhCAAAQgAAEIQAACECg+gSB3GtanZjl65Hcf/bDBcs/zrv5m5Xf8U/iF1iHyg+Gt8h/trdLdUlkNPs6kRblyV6+8z+QGn91kq8FZ+R3/HKPGgQRY+c2MSINAGVd+79izfcBmjO7KaWdTxr7NGN00IQdShwSnCdkfcvPnarFqMa+XbioQ/8ppd0W1N3WIuxrbSRniSx2imyoW9WDld1EjV6x+s/K7WPEqam9ZkVvUyBWr38yzYsWrqL1l5XdjkVu3bZ28sOGFxgpblJo0epKcMOGEQTUgvyNA1bzfN3/1rgElvnTTNTLn4nMi1BLvqWHlt9t3V36z4WX0OGjO7z/5s78KVVA3yVxo0qJ8v71NHjO5wef86EeyfMoU2TzrFPndnr1yhRHhU3sH5wYPqnzjhvXy8AP3yRWdc0O17T/pnvnz5LwLL5HxEyZGLm+7iVgUZrU6F1du4CRzhqaVBzDr3JHk/A6eqWx4GfnpReK6rqO3HL1E3nN+r9222hHWb+54Qzbt3Oj8vGrr6+Z+u+jmjG/uWCfT1k+R18y/l4cuEz1/7z79O6V4jokjD5V2s1K6Y9hYs7r6IJP2Y5TZhHGCtA1plcNGVTZpnGTu9f/6e318pEkJMm74ePO7tgEbOTbSI9vXqkbaTKJMkPxeu/p1+e3iR03O784kmixMnUm+fhcGgkVHyfltAc+yaNbv2yy733DxMkrJtN7rNwy9CQvmbZ6R87uck7DI8lt9TFdXVyaBmffUPPnIjz6SettzT50r37n8O4PaDXKnl8+92TkvzxkyUl/5ffu37pE7v3+vzL/jFpk1Y5oDyIV33YcvkxuuviL1oHr74O2X/v7cOTcMyFujQR0/rkO+fdunnX4iv6OHq1GRu8zkA7/vl/fLr46eKg+ddlp/w5oT/IoesyLc3HR1eLUD+S2xSbIkPzyn9YY46w9RyO/gKxX5Hf05FfkdzGy9Edg7jLxWQb2lZ4tJFbLZ+XmHyWWtj6nIVqldeXyzeXxLKPhzZI4sN/+eMv/cY9yI8U5+apXRBw9XWX1ARB822shqk0bkEBXbre2O1B7bPtb8PNz5nR5HdkwJ1XbSJyG/kyacff1Jvn5nP7rke4D8Tp5xtRayft+W1cjzJiXj4JDWe/04+tosdeRtniG/yznzkN+NxXXhsoVy6//c2lhhi1IXHXOR3HTOTYNqCNrw8qzZM/odqUWTiRZNXX6rTL7y/RcMktwqxe/+8YOZJEjXPm3avPXAh1jPTqUqu5ctX93/mD+oyO/o87NR+a0t6YeOgycfKStPPkUeMSvBHzGbZC7v2yRz4r79cu6efebW69xPMv/3Hshv5Ld3PmT9IQr5HfzcgfyO/pzaDPL7wCrsFZVV2Ds3DBDZ+n/9/aqt+vg2Z9V2I4dK7I5hBzkrqFVQq6jWn0eaFCC6KltXW29+dp0cMflomTz9aOcxFd1lOZDfZYlk9XEgv+1ijPy242dTOuv3bTZ9tymbNylpMxa3LPI7Dorx1pG3eYb8jje+eakN+Z2XSNj1I2zWDLtW4i+duvyeef5cCUpx4k8nEv9Qk6uRnN/Jsa1X86ohLf0S/JFhQ2RTX37w6SYViivB9X5kuMwo9ZrL7HFyfmeGvmkaJud304Q604G6aU9+s+LFSmoRk0pExbWzStusyNZV2LpCW1dqO6u0jcjWxxo53NXYR4yZ0p8+RAW2imyV1u4KbEdum1Xb+hhHOQiQ87scccz7KMj5nfcIlaN/eZOS5aDKKPwEmGfMiTQIFFl+Kx91MhwHMnf4s2bknU3q8juPK79tg4T8tiUYT/nn23QluHtrFTcLq26O6a4IP9usCC/igfwuYtSK1Wfkd7Hildferuxe4UjtSlqRym2lyZmtKUbWb6/8vxGZ3WFWYY/tW4WtqUUOGTnJyXOtPx8x5ihEdl4nREb9Qn5nBL7JmkV+N1nAMxouUjIj8E3WLPOsyQKe0XCR3xmBj7lZVn6HBJrXnN8hux94GvLbhl4yZTU/+D1mk8y721tlrVkd7h4zjQh/n9kk8/IIG2Um08NotSK/o/Hi7OgEkN/RmTVTCV2F7Qptldjrtq+WtebmCm338bBMdJW15rueOErvB4pszZ2tq7b1cf1ZV2ZzQCAKAeR3FFqc2ygB5Hej5CgXhQBSMgotzm2UAPOsUXKUi0IA+R2FFufGTSD1ld86ADfFiXcwQalQ4h5sEvWR8zs6Vduc34cdfoQcN2NW6IYXmxXh/za8VX616U159733yp3XXuuUjSrC75k/T8678BIZP2Fi6LbdE23zqNow83Y2rtzASeYMTSsPYNa5I8n5HXwZkfM78tNLwxvZ7urdKeu3vSEbdq6XN/WmK7WN2FbJ7fxux3pHbuvPmke73lHZwHGiHKJCe4S519uoSZXf6c9GZh9qHjvhsCNl545hDfe7Xj+Sftyb8zfpttKu3/a1Ku3+VmsvSH6vXf26/Hbxo3LpBzrz0s1M+pHk63cmA0q5UXJ+pwzc01zW79uyGnkZpWRa7/WzilkR283bPCPndxFnUf0+F1l+q4/p6uqqP0jOyC2BTOR3bmk00DHkd3RoNiLXRjqs3bBeHjAbZj5z9TWycFhrf37wsCIc+X0g1kl+eE7rDXHWH6KQ38jv6M+ewSX8X2rt3tczQGo7MltTjhiJXfm57978f+vu7rrdGNo6zJHXukp7Qp/EVpHdL7X7ZPdEI7rHDOuoWZ+b8/uNt3Yhv+uST/8E5Hf6zNNuMcnX77THkkV7yO8sqFfazPp9W1Yjz5uUjINDWu/14+hrs9SRt3mG/C7nzEN+lzOuRRkV8tsyUsjv6ACzkt8bjfx++IH75IrOubLBpEJ53KwIf8zkCH/c3F5oHeIMRBOkaF7ws80mmWebFClvNz+7SVOQ38jv6LO9egnkN/I76nzau29PJc2Ikda6Gnv9tnXOz3tf2Smbzb/nhz5fSU2y8w2zaeSWutW3DWlzZLamIJlgVmervFbJ7fzcJ7edx83vNd92HAfyOw6KydWB/E6ObV5qRn7bRQL5bcfPpjTye7cNvlyVRX7nKhxOZ5Df+YtJGXuE/C5jVIszptTk98zz58p1H75M7vz+vTXpLHloXnHo9fWUnN+FC9mADr/V0uJIcPe2tE+E60kqv1WCqwzXn1szGio5vzMC30TNkvM7u2D37u910o1UUo+Y2/aK1HYEt7NJZN/PZtPIzbveqtvRIS1DnBQjlbQjmm6kIrW9KUkmjKjk2z54+Li69cV5gld+x1kvdUHAS4Cc38yHNAiQ8zsNyrSRNylJRMpJgHlWzrjmbVRFlt/KUp0MR3EJpCa/i4uofs+R3/UZFeWMLX0iXFeDP2ZWhj9nbu5xZt9KcBXhv2NEeFuKg0J+pwi7SZtCfscf+P379x/Ipe2R2o7k7pfalRzbm3ZuDNUBZ5W2I7UrG0b6pbYjuo3wHj98Qqj60j4J+Z028eZsD/ndnHFPe9TI77SJN2d7SMnmjHvao2aepU28OdtDfjdn3PMy6tTlt64AD9rc8vZv3SN3//hBeWTB7XlhE7ofyO/QqAp14lbPinBNkfKMR4Sf4awGr6RFOXtvr7TvT3ZoyO9k+VK7CPI72izYsPPNvtXaRl73bQrprNrWtCN6b1KPqODW88IcE0YcMjD1iJtju2+zyIlGak/QVdzm90U+kN9Fjl5x+o78Lk6sitxT5HeRo1ecviMlixOrIveUeVbk6BWn78jv4sSqjD3NjfxesHCR3PzVu6RoaU/I+R39sshDzu+ovd5uEn//+w+/K2sueb8smnyYPOUR4acZEa4rwV0RPiJAhNvmUbVh5h2rf2O8qBzc85PMGZpWHsCsc0eS8zt49m3t3iI/WTBfOq+6ttHpGUu5tdtWy8ruFbJy6wpZZe6Xd78mR780WX4y8n55bdcrsn3PtlDttLcOd9KLHDFmipNH2900Un8+smOKs3pbxXZH+9hQ9QWdFNd13XAHIhQk53cEWBmcavtalUGXA5sMkt9rV78uv138qFz6gc68dDOTfiT5+p3JgFJulJzfKQP3NJf1+7asRl5GKZnWe/2sYlbEdvM2z9jwsoizqH6fiyy/1cd0dXXVHyRn5JZAbuT3Z778TVm0+NnCrfxGfkef2zYi1/uhI2rL3g0vo5bV890NL0ceMtGkRGl1NsrUPOFPeET4qW5qFOe+V0b3iXBboWDDzDvWuCRZkh+e03pDnPWHKOR3tvJb04y4Ylvvl295VVaZ+5XdrzvSu6d316AO/rn8ucwz/3RzSd0s8rDRk51bRWAfKpNGHe7cxyW1wz5PxXVdh23P5jzktw295MvavlYl38NwLSC/q3NK8vU7XHSKfRbyO7v4Zf2+LauR501KxsEhrff6cfS1WerI2zxDfpdz5iG/yxnXoowqFfntruquByUoHUq9Mlk/jvyOHgEbkZsH+T1+woG0Az1mRbhXhP/GI8JPVgHelx5l3K8Xy96tW+Tt57wzOjBTwoYZ8jsYedYfopDfycpvXZmtIrsitFfIiu5XKyu5+1Zzd/dsqXktjhsxXo40q7WPMKuz9X7q2GnSu3ibnHrhOXLUIUeLPp6XA/mdbiRsXofS7Wn01pDf0ZkVrQTy2y5iyG87fjals37fZtN3m7J5k5I2Y3HLIr/joBhvHXmbZ8jveOObl9qQ33mJRHP2IxX57UVbLed3kfGT87vI0Yu370uM/P7JsFb5kbktbzVmvO84bN9+ucCsBNfUKO/evU86zEZ4UQ5yfkehxbmNEChazm+V12u2req/rd66UtZsXSWr9Xfmfs32VbKnd3dVFLpC+/AxR8jho/tu+vOoys+TO450VnFzxE+AnN/xM6XGwQTI+c2sSIMAOb/ToEwbeZOSRKScBJhn5Yxr3kZVZPmtLNXJcIg8u/RV6bz+C4EorvvwZXLD1VfkElPq8juXFCw7hfy2BFjS4tVEeJsZ79uMBL/QyPCLd/fK1N76Ihz5XdJJkqNh5U1+79q784DcVpndJ7odyW3ycavg3rZna1WCmkPbFduTxxxZ+dkI7smu7Db3Q1uH5SgCzdEV5HdzxDnrUSK/s45Ac7SP/G6OOGc9SqRk1hFojvaZZ80R56xHifzOOgLxtO/K7/l33CKzZkyLp9IUakF+xwAZ+R0DxJJX8ULrEHlg2BD5hVkRrjnC93rGq/JbJfhF5jbbpElROe4/kN8lnyA5GF5W8nv9jjfklbdelGVvvSSvbH5JXtv8ivOzbjgZlHfbi0rzbWt+bTc9ydSOo53/6+aSes+RPwLI7/zFpIw9Qn6XMar5GxPyO38xKWOPkJJljGr+xsQ8y19Mytgj5Hc5oor8DhnHWkvktYolD80LWVM+TiPnd/Q42OSvtsm1GteGl96c32FH782j+rJJh/Jrs2Hmr81mmb82Ivw1T3qUY40If9veXmdl+NuMCD+6b1W4DTNvH+PKDZxkztC08gBmnTuymXJ+q8R+bfOrjuR+bcsr8tKmpUZwV372594+SA6Suebf/zX/gvJuV8T2UY7cbm8dHvYSjOW8+d/7hrxvTqeM6RgbS31xVRLXdR1Xf2rVw4aXaVBuvA1yfjfOriglk3z9LgoDm36S89uGnl3ZrN+32fW+8dJllJJpvddvnHrzlczbPCPndznnYJHlt/qYrq6uTAKzb9s+6d3Qm3rbQ0YPkdYJrYPaRX6HDMW5c26Qc86cJWfNPlH+7s4fyiMLbndKXj73Zrnw3NNzmx+m2vCQ3yED7znNRuSWQX57iekK8MeMBNcV4T8fOjBPuK4AP9tI8HeZFeHyt1+WP/mzv4oO21ciLkmW5IfntN4QZ/0hqozyu9oq7uVGclc7ND3J0WOPMRtKHiPHj5shRw+fJpt/84bM+d9XiT6WpwP5bR8N5Lc9wyRrQH4nSTcfdSf5+p2PESbbC+R3snxr1Z71+7asRp43KRkHh7Te68fR12apI2/zDPldzpmH/G4srj1P98iOe3c0VtiiVPsp7TLyspGDaiDnd0io7oaXx0w5XP70M3/fL78XLFw0QIaHrC7z05Df0UOA/K7ObJlZBb7QiHB/epTPff7zMu+vb5FzTZ7w840Q/x1zi7pppraK/D7APusPUUWV32/uWC+vb3lNVmx9zbl/feuKyv+7X3PycAcdY4Z1yJSxR8tRHVPN7cD9lLHm/2OmSlvr0P5iW7u3yE8WzJfOq66N/uSScAnktz1g5Lc9wyRrQH4nSTcfdSO/7eKA/LbjZ1M66/dtNn23KZs3KWkzFrcs8jsOivHWkbd5hvyON755qQ353Vgk9ryyR3b9z67GCluUGnrMUBn+vwb/pTUrv0NCdeX3nIvPEf3ZTXOi8vvmr95VuLQnOmxyfocMPqdFIrCppUUe1DzhZkX4w+2tstlTWleFn2zSolxgVoWfY0R4tVzhkRrk5KYm4M35vbu3R1YYob3SiG29V7HtCu7XtyyXHXu3D2LVIi1yVJ/gnqKSW382Ytu9P3jEuKbmy+ArBMj5zUxIgwA5v9OgTBvk/GYOpEEgb1IyjTHTRvoEmGfpM2/GFossvzVeug8bhwjyO+Qs0PQmJx43Rb7y2Y86qU7cnz/z5W/KosXP9q8ED1ldLk5DfuciDKXuxEjzRHt/d488ZXKE64aZer9hSEv/mKeY3OCnGRl+qrnpvd4GZ2cqNSIG1wABTVPiSu2V3cvljV2vy4vrlzmye932NYE1jh8+4YDk7l/NXVnRzSaTDQShyYogv5ss4BkNF/mdEfgmaxb53WQBz2i4SMmMwDdZs8yzJgt4RsNFfmcEPuZmkd8NAtXV3+4x/45bZNaMaQ3WlF0x5Hd27JulZf2Wcc3Gnf3DXWnE95NGgD9p8oW7Qlzzh7uHrgpXEa4rwvVeN9LkaF4CG3dtkFc3vWw2mFwmr242N+fe/H/zK7Jr74F55RIaNqS9kqZE05KYVdxTHLFdudffjRo6unlhMnIrAshvK3wUDkkA+R0SFKdZEUB+W+GjcEgCSMmQoDjNigDzzAofhUMSQH6HBJXz08j5nfMAJdU9cn5HJ0vO7/iZPde3GryyKrxFXmwd0t/IaOO93dXgUx74mUwZ1SFnn3J69E54SiSZMzStPIBZ545MKuf3srdelGVvvSTPb3hGXtj0vLzS9/+9+7xfj4i83fw7ZMgh8vqE1c5mk8eOO15mTz5RJgybZv4/LTPBTc7v6JdmXLn8o7ccvQQ5v6MzS7MEOb/TpJ1NW0m+fmczonRbJed3ury9rWX9vi2rkZdRSqb1Xj+rmBWx3bzNM3J+F3EW1e9zkeW3Oqyurq76g+SM3BJo2W+ONHvnzfmdZrtJtYX8jk4W+Z0ssx0mG4qzKtwjxN/oS5Fy8U9/Kvs7OqTt9DP7V4WrGG+P+CyQ5IfntN4QZ/0hykZ+a07uV82qbWf1dt9q7tfeqqzmfnPn+kETbPyICXL0QdNl2kHHmlvlfvgbbTK8t13+17nvds735vyOPkPjK4H8js4S+R2dmU0Jr/yyqSePZZHfeYxKvH1K8vU73p7mszbkd3Zxyfp9W1Yjz5uUjINDWu/14+hrs9SRt3mG/C7nzEN+lzOuRRkV8tsyUsjv6ACR3+kyW+umSDEyfOdDD8iygw6SR85+e38nTuzLEX7q3v2OED+hd1/dDib54TmtN8RZf4gKK78due2I7WUHRLf53aru1wfFaUTbyIrcPlgld0V0H+PcHytj2w8acL5fciG/6057mf+9b8j75nTKmI6x9U9O8Qzkd4qwTVPI73R5N9JaUNqTtatfl98uflQu/UBnI1WWpkySr9+lgVRjIMjv7KKc9fu2rEaeNykZB4e03uvH0ddmqSNv8wz5Xc6Zh/wuZ1yLMqrU5bducnnhuafLDVdfURRGdftJzu+6iDjBkoA/57dNdS+YlChPmtQomitcV4cvMTf3GO5JkeJunnn4vojLwm0618RlV29deSAnt+blfktXdVdWdwcd/au4jeiuCO7pcvTY6XLY6MkNUcyL/G6o8xQqDAFyfhcmVIXuKDm/Cx2+wnSenN+FCVWhO5o3KVlomHS+KgHmGZMjDQJFlt/KR50MR3EJpC6/NTn6n37m7+WRBbcXl5qv58jv0oQytwOJU357B7m7L0WKu2mm3q/qS5Gi50004tvdNNO9H4ULt54ny43Ufnr9E/LM+idNfu4X5UWTm3tl94rAenVzyekHHycnT5xtJPdxcsL4E2XmhFNk3Ijx1v3wVoD8jhUnlVUhgPxmaqRBAPmdBmXaQH4zB9IggJRMgzJtMM+YA2kQQH6nQZk2qhFIXX5rzu9ax5KH5hUuWsjvwoWscB1OSn77QfQYGa6bZj40tFUeHTrE+dl7jDNbBJy7e5+cv6dXzt2zTw5jVXjdubRp50ZZvPZReebNJ2XJm087P3f3bBlUrm1ImyO5jzn4eDn5kNPMz8c7ols3o0zjQH6nQZk2kN/MgTQIIL/ToEwbyG/mQBoEkJJpUKYN5hlzIA0CyO80KNNGbuR32UJBzu/oESXnd7rMvK1FzQ3c3dIiDw4bIouMCH/ECPGVfavCh+/aJX/+D/8g//Kpv5KzjQQ/28hwvT8yBhmeVh7AJHJHbt+zTZ5Yt1iWbHhGnnjj187Pa7etHhTwjvaxcvGoS+SYlmPkyDOOdUT38eNOFBXgaR3k/I5Ompzf0Zn5S3jld9TnI/vW46mBnN/xcEyyFnJ+V6dLzm+7mUfObzt+NqWTeN9m05+0ypZRSqb1Xj+tGJWhnbzNM3J+l2FWDR5DkeW3Oqyurq5yBqZJRpXJyu8v3XSNzLn4nAGIb//WPXL3jx8sXDoU5Hf0KwX5nS4zG/nt7+my1hZ5zEjwR3p3y8l3/KN85dOfHnCKpklxZLjZOFOF+PTe6DlS0npDbPshasPON+XFjUvkhY3PV+7f0vvnZdvurQOYHDrqMLOCe6Ycb1Zxn2AE9/HmZ13R/fpLy2TtmlVy3rveG31CxFAC+R0dIvI7OjPktz2zNGvwPy+k2XacbSG/kd9xzidvXcjvpMjWr9f2fVv9FvJ5Rt6kZByU0nqvH0dfm6WOvM0z5Hc5Zx7yu5xxLcqociO/FyxcJDd/9S4pWtoT5Hf0qY78TpdZnPLbrctdOXbcn35SnjUbaD5r0qPo7WUjx73HsUZ+zzIi3Ln17pOT9u6XMSZ1Sq0jrTfEUT5E6YpuFdsqul/Y9Fy/8FYB7j3Gth9kBHef6O4X3jPloOEHDxryS0ufRX4HTISt3VvkJwvmS+dV10a/UBIugfy2B8zKb3uGSdaA/E6Sbj7qZuW3XRyQ33b8bEpHed9m007eyuZNSsbBJ633+nH0tVnqyNs8Q36Xc+Yhv8sZ16KMKjfy+zNf/qYsWvxs4VZ+a6DJ+V2U6V7cfqaV89uGkOYL94rw54wIX+LLGT5FZbiR4P1C3MhwzSOep6N3X6+zAeULm5b0CW9zH7AhZXvrcGcFt7uS+3gjvfX/k0YdnqfhhO4LOb9Do+JECwLk/LaAR9HQBMj5HRoVJ1oQIOe3BTyKhiaQNykZuuOcWCgCzLNChauwnS2y/Fbo6mQ44iWgGUD0uOHqK+KtOKC2VOS3u6q73miC0qHUKxPX488ufVU6r/+CzL/jFpk1Y9qAai+fe7MsW17J2zt96mT50bwvDXgc+R1XFKinGoEiyG9/3/eZX+hq8Od0VbgR4e7Pez0nHm7SpBxYGV75+dAY8oZHmUmvbVl2IHWJkdy6wvulTUsHVXH8uBkV0e1JXZLWZpRRxtPoucjvRslRLgoB5HcUWpzbKAHkd6PkKBeFAPI7Ci3ObZQAUrJRcpSLQoB5FoUW5zZKAPndKLl8lXPdaVCvrvvwZf0ie+b5cwec4nWprmPV8/W48/v3BrrWOEeeivz2dlgBZCm5g+CdO+cG2bS5kqfXL7//+MZbZeOm7n7hrUEaP65Dvn3bgVzHyO84pyR1BREoovwOGsd6s2HmY2bzzMeMEH/C3Pwrw9vNIvDZRoCfYm56f7K5xbGJptuXddvXVES3WdW9dIOu7K7k7N69r2dAd6eMnVZZ1d23mvv4g3WF94nSYjYALeuB/C5rZPM1LuR3vuJR1t4gv8sa2XyNC/mdr3iUtTdIybJGNl/jYp7lKx5l7Q3yuxyRrbVw2B2hOtZzzpwlX/nsR/sHrS7Vv5DYFeRppL9OXX7nNdzVAqhB+4vrPti/QaeuYv+7O3/Yn56FnN/RI0rO73SZeVt7fNEvZdToDpl16hnRO+EpEVfO0G4jkx81Mvxxc1vcJ8P/8tZb5f9+4hOya/hwp0VNizLbbKKpQvxkkzZFfw6TKmXzrrcGpi7RfN1vLZEtuzY79Z5g/p1q/j046uHADSmHtyb7Z03k/A6eguT8jn5pxnVdR285eglyfkdnlmYJcn6nSTubtuJ6/c6m99m3Ss7v7GJAzu/d2cGPuWUmeCtrAAAgAElEQVRyfscMNIbq8ia/yfkdQ1BzWEWR5bc6rK6urhxSTb9L9eR3vce1x02x8jv90IRrMShAYX6H/A7H13sW8jtdZt7W4pJkSX143m4WVs//5tdk+7V/Kk+PGumsDtfV4v5DV4PrqnB3lfjxPTtk5QZNWVJZyf2ikdx6v27bmgFFvRtSHrf/OBn5VrtcdMnvBm5IGT1K0Uogv5Hf0WZM9bPjuq7j6k+tepDfaVBuvA3kd+PsilIyqdfvoozftp/Ib1uCjZdHfiO/G589lKxHAPldjxCPx0EA+d0gxXXrRF54ocHCFsUmTTIrBk8YVEEYua2LiMcd1DFopbe/stLl/PYP0JtmxP9YGsvdg8IfRnRrOf95Kr9v+uxfy26zGjXNY/36N+Rn9/+X/OEfXZ1ms05bS557RlatfF0ueu+lDbV92998WW781GcbKvtTM+YjjjxKZp50cuTytsx+8N1vyXvMmCdOPDRy20/8ZrF0b+2W8y+4MHJZLWDDzNvgQw8+IB1jOmT2GWc21A+3UE/PLrnrG/8kH/v4jVb1BBX++tduk2uM/G5vHy56VT1v5PdSc3verBJ/fkjl/ys2mJzc658TeeNZkTefkyHm532blg2orr1tuJw4YWbldkjlfsaEk+Tw0ZUNKZe9/JI8v+QZuWzO78U+hjAV2l5HYdqodY5/TmpKl1HDW2XbTm9WdttWopfv3rJF7v7hD+Saj34seuGES9z1za/LlR/8Q+kYOzbhlqJVH9d1Ha3Vxs7WeTbSzLPtZp4Vqd/e0dq8DjVGLb1Stq9V6fW0dktDzOuEfpDfsevA89nKlSvk8f9ZJL/f+Qd56WYm/Ujy9TuTAaXcqPf6bzX7mQxra5WdPdm+bqaMILPmsn7fltXA21qHyNC2FjPPerPqQuztet/rx145FTZEIG/z7N4F/y4nzjxZph97XEPjoVA+CWhaOl0Is2t38Z7P1MdktvJ73jyRj3wk/aDOnSvyne8MarfRnN/efODpD0Yk9bQnQTmzsxi4v81G5bfW07OnN3X5nQdm9CE9AmNGDhXNLd+Mx4rNy+V5s6L7+Q3PyfNvLpElJle35uvev9/3hZMR3DLxpP7bwYecJLMOOkZmmLQpJ5qV4s7N/DzG5BXnGEwgL/Kb2JSbgFd+l3ukjC5LAkHyO8v+0HY5CSC/yxnXvI0qb1Iyb3zoTzwEmGfxcKSW2gSKLL91ZOpkMjkWLhQxqWFTPy66SOSmmwY1G2blt7+QrvDWTS2z3P8xdfmdxw0vNTBRcn7f/NW7xLtCnQ0vU78Mm67Bsmx4WS9we/ftNXL7GXli3WJ58o1fm5+fdtKX+I+O9rFyysTTZfakM+XkQ06ToyadLpvHHiEvmNUxL5qVWEvNt8ovmp+3+TKmTDYC/HiTLuUEkzv8+N7K/Qnm/231OtYEj7PhZRMEOQdDZMPLHAShCbrAhpdNEOQcDJENL3MQhCboQt7SUTQB8qYcIvOsKcOe+qCLnPZEYamT4ajuTuux0QwgV77/Arnh6ivqnZrI48jvPqzV5Pcf33irbNzU3Z+rJmjlOvI7kblJpR4CZZXfPb27HNH92OpHZPHax5yft+/ZNiD27a3D5ZRDZxvZPVtmGdF9uhHeU8ceU3d+rDJ/UvWikeAvGBmuIty5N//3/3HyMSrAjQg/vk+EqxSfbn5utgP53WwRz2a8yO9suDdbq8jvZot4NuNFfmfDvdlaRUo2W8SzGS/zLBvuzdYq8rscEa+38nvBwkXynfn3D8j3rb/zLyJOm0bq8lvl8YXnnp6Z7Q8C7M9BPu6gMfLIgtv7T3V3ItVfTJ86eUAQ2fAy+pRlw8t0mXlbi2tjvEY3zFKxvXjNY/L4GpXdj8rTbzwhKsC9x80tN8uK49fKKYed4Ujv48edKG1D4lmbvcwIcF0d/oJupPnKSzL8uWflW50fHNC+tuRfHa7/P8KsGo/zYMPLYJpbu7fITxbMl86rro0Tdyx1zf/eN+R9czplTEe+cn7HdV3HAqlOJWx4mQblxttgw8vG2RWlZKOv30UZX9L9ZMPLpAlXr58NL9nwMrvZV/6W8ya/f37ff8qxJ5wkU6cdW374TTTCIstvdViZ5fzO2RwJk/Pb61Dd7me1v6PbfuryW43/3935wwFyOWexjNQd5HckXM7JyO90mXlbi0uShf3w/MpbL8mzbz4lz735tHP/7JtPypaezf1dGjv8IDlpwqlmRbe5TazcL/q3++VDV10nw9rbo4OKUEI/RL34wnNy+GW/66RKcVKmmA2Flpr7tWbVuPcYbby3kybFSHBnhbj5+Thzf4iFEEd+BwcL+R1hEvedGtd1Hb3l6CWQ39GZpVkC+Z0m7WzaCvv6nU3v8t8q8ju7GCG/kd/Zzb7yt4z8Ln+M8zBC5HceotC8fUhdfmvO71pH1t8GRJ0KyO+oxJDf0YnZMUtTfr9gNqZUwe0V3jv2bO/vwoQRh/RJ7tPkJBXe5nZUx9QBSL77z/+Qmvx+2cjvd1/ygQHtd7eoCPelTDFS/C3ze+8xXvOHB6RMCbuhJvIb+d3Ic0FQGeR3XCTD1eOVX+FKFOcs5HdxYtVoT5HfjZKrlEN+2/GzKY38Rn7bzB/K1iaA/GaGpEEA+Z0GZdqoRiB1+V3GUJDzu4xRzdeY8pjze9/+fRXJbTalfHa9K7yfEt200j0OGz25sqrbWdl9mnM/adTh+YIbojfrzUpwFeJuyhR3pfiuEm2oSc7vEBOBU6wJkPPbGiEVhCBAzu8QkDjFmgA5v60RUkEIAnmTkiG6zCkFJMA8K2DQCtjlIstvxc2GlwWcdJ4uI79jiB/yOwaIVFGTQF7k9/odb8gjK38pi1Y95Nyv3bZ6QL9HDR0tZx5+trz98HPldya/Q042m1TGla87b1NkhZsqxZMyReW4/yjKhprI77zNsHL2B/ldzrjmbVTI77xFpJz9QX6XM655GxVSMm8RKWd/mGfljGveRoX8zltEmqs/mchvb/LzL910jcy5+BzRdChnzZ4h377t04WLAPK7cCErXIezkt+6GeWjqx5xNqh8cMXPZMmGZwaw62gf60huR3Yf8Q6ZOeHkwrGNs8OaK/xps5nmk+am90+bdCmaRsV/HGlSppxs8ofPNrfpJnWKbqipv8vyQH5nSb952kZ+N0+ssxwp8jtL+s3TNvK7eWKd5UiRklnSb562mWfNE+ssR4r8zpI+bacuv1V8jx/X4Ujuc+fcIH9x3Qcd+X37t+6Ru3/8YOE2wiTnd/SLiA0v02XmbS1MbmAV3Cq6dXX34jWPigpw93BXdp8z6QJpf3K/fOSjn4w+mDolss75HfeAlpmV4SrCnzW3xeamq8N7jA8/9amnZOqKFbLg8sudJjv273dE+ClGhLurxWfu3e/8PonDn9s3L/KbDS+jRzvMdR291mRKsOFlMlzjqpWc33GRzG895Py2iw05v+342ZQm5zc5v23mD2VrE8ib/P75ff8px55wkkyddiyhKxGBIstvdVhdXV0likbzDSV1+a0rvOffcYvMmjFtgPxesHCR3PzVu4QNL8NNwo0b1svDD9wnV3TODVcgxrNsN+pDfkcPhg0zb2tBkuy5N5+Wp9b/Rp58w9zWLZYXNy3tLzJ62Bg5deIZMnvS2+TUQ8+Q08zPE0dNkiQ/PJdNfvujrRnRXzQS/HGz2eaW1a/Lg5ddLirIg1aIa9mJZkX4zN59ZnW4brBp7vs22Wy3dOLI7+jX4fzvfUPeN6dTxnSMjV44wRLI7wThBlTNhpfp8m6ktaCV32vN8+1vFz8ql36gs5EqS1Mmydfv0kCqMRDkd3ZRRn4jv7ObfeVvGfld/hjnYYTI7zxEoXn7kLr81tXe//SVTw6S36z8jjYJkd+zogEzZ9syu2f+PDnvwktk/ISJkdu2XU0Xp/ze09Yrm8d3yxPrfy1PqfA2tz29B95Qn2w2plThfZrKbiO9jz34hEHjTfLDc9nltwvT+yXSHvPLV82K8FeNBH/N3PTn10wKFf2/brbpP8YY8T3NiPCjjQifZuS4/jxNfzb3+liYA/kdhtLAc5Df0Zn5S7Dy255hkjXYvlYl2bcodSO/q9NK8vU7SoyKei7yO7vIIb+R39nNvvK3jPwuf4zzMELkdx6i0Lx9SF1+f+bL35RFi5910pu4aU+OmXK4dF7/BbnsPb8jX/nsRwsXDXJ+Fy5kheuwTc7vrbuN6DYruh3RrSu81/1aNux8s5/BlI6jK6u6D32bI7z157JuUlm0wG8z3tsR4SrEjQR/zfz8Sp8g3xKQS1xXiTsSfF9FhjtyvE+Mt9UZfF7SnhQtRvQ3GgFyfkfjxdmNESDnd2PcKBWNADm/o/Hi7MYI5E1KNjYKSuWdAPMs7xEqR/+KLL81AupkOIpLIHX5rajcFCdebNd9+DK54eorCkkS+V3IsBWq01Hl91Prf1uR3UZ068ruVza/1D/ese0H9aUxMbLbWeH9Nhk3YnyheDR7ZzcZ8e1dJa4/u3J85+CF4jLFI8TdFeJ6f4Rnk03kd7PPqnTGj/xOh3Ozt4L8bvYZkM74kd/pcG72VpCSzT4D0hk/8ywdzs3eCvK72WdAtuPPRH5nO+T4W0d+x8+UGgcSqCe/l295RZ5440AaE5Xe+80/PVqMKPXn7T76oOkgLiGB7UZ8LzOrw5eY20ttLU4ucf05KHWKDv8wI791k83pmkJln8gZI1pl7JYemWp+xwGBJAggv5OgSp1+Ashv5kQaBJDfaVCmDaQkcyANAsyzNCjTBvKbOZAlgdTl9x/feKv86omlgza21I0wz5o9Q75926ez5BG57c9//vNy46c+K1t36jZ26R22+attesqGl9nn/N60c+OBTSrfWOys7t68663+sB5z8HHOqu5KOpPKvR5xbYyXZM7QZsz5bXM9him7wlkZPjCn+Mjf/Er2d3fLwosuGlTFeCPFj9KbkeBTnPt9/f8/0rNaPEzbUc/Z2r1FfrJgvnRedW3UoomfT85ve8Tk/LZnmGQN5PxOkm4+6k7y9TsfI0y2F+T8TpZvrdrJ+U3O7+xmX/lbzpv8/vl9/ynHnnCSTJ12bPnhN9EIiyy/dQ+2rq6uJopW+YaauvzWPN9Xvv+CQSlO2PAy2uRCfjffhpezf+88k7u7b3W3yd29Ysur/ZNmwohDHME926QwcfN3d7SPHTSpkN8HkGT9Icr2S6RozxiDz376qd/Iuu3dMuz8d8vrRo7rbd3wNnlp7z7z8xDRfOP+Q38VJMRVlGtqlYP2268YR35Hj2xc13X0lqOXQH5HZ5ZmCeR3mrSzaQv5bccd+W3Hz6Z01u/bbPpuUzZvUtJmLG7ZtBa6xNHXZqkjb/MM+V3OmYf8LmdcizKq1OW3rvD+0k3XyJyLzxnAyM0DvuSheUVh5/STld/Rw6Xfmv3Jn/1V9IKmhPdDR9QKbL8wuGf+PDnvwktk/IR0Vn739O6SR1Y+KD997cdy3JKp8jnzz3tMP/h4uWDKu+WcIy6QsyefK6OGjq6LJC5JluSH57TeEGf9ISpr+e2XXN6c35pTXGW4rhhfYTbaVBleuW+RVeY+6BhjxLcKcO+K8SOdleNm1bi5r7fhplsn8rvuZTzohLiu6+gtRy+B/I7OLM0SyO80aWfTVpKv39mMKN1Wkd/p8va2lvX7tqxGnjcpGQeHtN7rx9HXZqkjb/MM+V3OmYf8LmdcizKq1OV32VZ+a6DJ+V2U6Z7/fq7dtloeXPFzR3ir+FYB7h66KeW5R7xTzj/qQjn3yHfKYaMn539A9LAwBMJseNlrRuNIcZNCZWW/GK8IchXlW400DzoO71sZrilTppgUKpX7iiifmHAalcIEoEk6Ss7vJgl0xsMk53fGAWiS5sn53SSBzniYeZOSGeOg+YQIMM8SAku1AwgUWX7rQHQfNo7iEkhdfmt6kzu/f6/Mv+MWmTVjmkPu2aWvSuf1X5DrPnzZoHQoRUCL/C5ClPLbx6fXPyG/WH6/PGBu+rP3OGXibLlw6nul85Q5cnj7zPwOgp4VnkAY+V1rkLrrgW62udxIcN1o8xXzs97rrbuKFNf6dNPNE4wQ1002VYjrBpxHm9XibLpZ+CkVOADkdznjmrdRIb/zFpFy9gf5Xc645m1USMm8RaSc/WGelTOueRsV8jtvEWmu/qQuvxWvm+LEizooFUpRQoH8Lkqk8tHPNVtXya/XPSa/Xmtuax6T5zY83d8xXc39tsPO7r/NOuRU5zH9lnHNxp35GAC9KCUBW/ldC4qmUamI8CFGirf0CfKKKK+1VbAKcF0lfqSR4UeYn6fqz+b+CFaMF3YOIr8LG7pCdRz5XahwFbazyO/Chq5QHUdKFipche0s86ywoStUx5HfhQpX6TqbifwuE0VyfkePZjPm/P6fxb+Ql9culQdbHxyUzmTiyEPlwqPfKxcd/X6TzuQCaW8dPgiqDTNvZXHlBk4yZ2haeQCzzh2Z55zf0a/qxkqo+K6sFK+IcBXjr2/rlrN+8H35u098omal7WZvTV0hrlJcBbkK8X5Zbn7XEcPmm/4OzP/eN+R9czplTMfgzWQbIxBPqbiu63h6U7sWcn6nQbnxNsj53Ti7opRM8vW7KAxs+knObxt6dmWzft9m1/vGS5dRSqb1Xr9x6s1XMm/zjJzf5ZyDRZbf6mO6urrKGZgmGRXy2zLQyO/oAG1EbpE2vNT83f+17D/lvlcXyJA1++Qg82+h+afHzAknG+F9iVw45WKZPenMuhBtmCG/g/Fm/SEK+R0cF3fDy3fNvU7WmFzi3ttqI8fd/6+tsvGm1qqZxzXPuN4mGxHu/uy9H99ArnHkd92nqronIL/rIsr0BOR3pvhTaRz5bYcZ+W3Hz6Z01u/bbPpuUzZvUtJmLG5Z5HccFOOtI2/zDPkdb3zzUhvyOy+RaM5+ZCK/ddPLTZu3BhJf8tC8QkUC+R09XDYiN+/ye/mWVxzh/YsVC2Xxmkf74byj9Tw5YdQMmTb7RCeHd9TNKm2YIb+R30EE/JIrybQnUZ4lXPndedW1VYuZRd8HpLgR4qt9klwF+cYacny4qSBIiB9uRPlks5pcHxutjfgO5HeUSAafi/y2Z5hkDcjvJOnmo27kt10ckN92/GxKI7932+DLVVnkd67C4XQG+Z2/mJSxR8jvMka1OGNKXX5fPvdmGT+uQ75926eLQ6lOT8n5XZpQNjQQzdv92JpH5PE1i+Sx1Y/I7t4ep55jDj5Ozj78HHn75HPN/bkyafThDdWvhcj53TA6CoYkkBf5HbK7dU9bb+T3cnNbaeT4KnO/yty/NmSIc7+yhhh3K66Wb/wQJwd5gBmv2yNOUALk/GYepEGAnN9pUKYNcn4zB9IgkDcpmcaYaSN9Asyz9Jk3Y4tFlt+uk2nGuJVlzKnL75nnz5Uib24ZFHjkd1kuh/Dj+NXa/5HHVz1ipLcK7/+Wvfsq2/Yde/AJRnafI2er8J78DtF83nEcyO84KFJHLQJlk9/1oq05xlWCr+wT4l5RruK83jHRCHAV4RNNbvFD9onZiHOfHGKc+GHu7829/swxkADymxmRBgHkdxqUaQP5zRxIgwBSMg3KtME8Yw6kQQD5nQZl2qhGAPkdw9xAfscAsQBV6Orux1b9t5Hdi8wq70dk335jvMxx/LgZcvYR73BWd+sq7wkjDol9NMjv2JFSoY9As8nvWhOgx7hv7ypxXTnuyvI3zc9h5Lhbvwpwryg/zKRWmWSeOirSvPJYM0ly5DdPPWkQQH6nQZk2kN/MgTQIICXToEwbzDPmQBoEkN9pUKaN3MhvTXty4bmnyw1XX1GKqJDzO3oYbfJXp5nzu3dfryO5dXW3rvI+Zc1MWWD+rTP/Zkw4qV92q/QeN2J8TRC2eVRtmHk79viiX8qo0R0y69QzogfOUyLJnKFp5QHMOnckG14GT8EwOb+tJq9FYTfnd8vYsaIS/M0Wc9N792ak+cD/t4iK9HqH5hef0L+KfH/lZ3ObYH7vCnL93SFGmGu+cv8R13Vdr59xPE7O7zgoJleH7WtVcj2LVnOQ/F67+nX57eJH5dIP/P/tnQ2UVNW153eEABFoEASRjwdBIBBDZIxPiYMjmg/RGEEmas+smJCYGTHrufQls0YzzkonzjMjMyu+uJiZYJ4xZHyTB/qWAkbFjygGniFGEwxBUAkBFUEFhAb5UNC5+3bforqo6rrnnvtx7r2/26tXVVedj71/e9+qW/86vU+r2WAFa53k+3fBUNV1h5rf2UU56+u2rDwvoiiZ1rV+VjHL47yu5RkbXuYxi5rbnGfxW/WYtra25k7SwlkCqa/8XrJ8lfxwwWJZuWS+s1BMDEP8NqHV0dZGyE1a/D585D2/frcveHv1u3/7+r9UHLy+59/KobHvy6dO+bSc7a30HtB7YGjnbQUFG2bVRsYlkiX54TmtC+KsP0Qhftc/ffIgfvdvGRDq3G/3xfFOQbyJUP5eiBH7d5ZY6RDGj64cb3nicenfv0VO8b7UUrFcRfJejlZcQfwOEegMm9i+V2VoepepEb8bRyLJ929X4p+kHYjfSdLtfuysr9uy8tw1UTIODmld68dha1nGcC3PEL+LmXmI38WMa168Sl381prf3R3rVizMCzvfTsRv83DZCLlJiN/vvn/IK2fiCd6e2K3C97PbVlecmjxkSqWkSfvqN+S8z10sg08cauy0raBgwwzxu364sv4QhfhdfPE77AvF7k6RfEdnSRVdUX70/tHV5PpYx+4CXY8Zjzwiu73V6KunTvWfGNApkgdCuN4Gq8m1Lrn/eOdvz7BGxtQO8TsmkAkNY/telZBZxsMifjdGhvhtnE5dOiB+2/Gz6Z31dZuN7TZ9XRMlbXwJ+iJ+x0Ex3jFcyzPE73jj68poiN+uRKKcdqQufhcRMzW/8xfVA4f3e4J3R+1uFbx/v/2ZihNTTvqUTPVKmeimlVOHT5N+vfpn7iA1vzMPQeENoOa3+yHe1bl6fIe3mlzrju/w/tZbLbXiP1Z5/kPSsSNB98cJnSL5UWG8quSKN4CuIPdXmXu/PZoNFvJ5an6HBEUzKwLU/LbCR+eQBKj5HRIUzawIuCZKWjlDZ2cJkGfOhqZQhuVZ/NZAqCbDkV8CiN8xxA7xOwaIKQxx+P3Dvsj90KYl8suN98u2fVsrs57cb4RcPO5SuWjsLDlz+NkpWGM2BeK3GS9amxNA/DZn5moPXSGuwriWXPFFcl1R3rmavGPDTul8PkRBcs/JQRUR3Nuos6bkyomdInmwkrzZiIjfrmZNsexC/C5WPF31BvHb1cgUyy5EyWLF01VvyDNXI1MsuxC/ixXPvHmTifitdb9vuvXOLqxuufEbMmvGtLzx8+1F/HY7bOt2/FHue3GRLH353i6C95gBp8jMCZfJBR+9WE4berrTTiB+Ox2eQhiH+F2IMBo50VUY7yivEqwo79i403vME813evfDHMGmnENUEA9Kq3jCeWVluff4MG+giS295I23D4YZkjYQiEQA8TsSNjoZEkD8NgRG80gEECUjYaOTIQHyzBAYzSMRQPyOhI1OMRFIXfye/9P7ZMHdy2TRj78rkyeN9d1Yu36TtF5zs8y98hK59qrZMbmWzjDU/DbnbFO/OmzNb13VrWK3it4qfusxzPu5vMcV8qHTPyJfOGWWnHriJ42Mv2/RQjn3sxdR89ujlmTN0LTqAGZdO5Ka3/VPvyJteGn0AmPROK6NbBuZoBt36mpxFcRfDQTyztXkKpa/1uNDsq1BPfJ6Y/bzHjzxyAdy3qOPSG9vo85DZ5wpg/yNOkWO98Ty4d79Fu9+i3d7svebdl3yZqEI+z7UbBwXn6fmt4tRidemJN+/47XUzdGo+Z1dXLK+bsvK8yKKkmld62cVszzO61qeUfM7j1nU3OY8i9+qYbW1tTV3khbOEkhd/D5n1rVy+RfPO0bkVlH8ngeelJVL5jsLq55hiN/m4UpK/N6858+y6rUV8utXn5CV3m/7oT2+cRNPPFXOGXmenNXyadn/wm75t61fMzfa64H4fRRbkh+e07ogzvpDFOI34nekF6I6nZIWv8PaqTXJO2qQiy+G62+wmlxvg8eCTTtrN+psNE9fTwjX0iu6mlzvqyCum3qqOD7MW03eVzpqk5+g973HR3n3kzwQv5OkG8/YbHjZmGOS79/xRM/tURC/s4tP1tdtWXnumigZB4e0rvXjsLUsY7iWZ4jfxcw8xO9ixjUvXqUufp86fY7UK3ESlEJZt2JhXtj5diJ+m4crTvF714GdnuDtfWnymgreT8qr7Vt8g4b3HynTPMH7nFH6e74M+chQ2bnjTXnq8Ydkduscc6O9HojfR7El+eE5rQvirD9EIX7XPw1Z+W3+8uSK+B3Gcq35LQN6y7r2d2Xdyl/J/pYBctBb+b3Xe3ibt4L8HekQ0N/2BPQ9npiugnmUozvBfGSniF4rqIedB/E7LKns2iF+I34nlX2I30mRbT5u1tdtzS1MpoVromQcXqZ1rR+HrWUZw7U8Q/wuZuYhfhczrnnxKnXxO28rv+vVJ9fgVov01PxON91140pd4a2ru/U3KGvSr1d/T/Ce7ovdKnqfMnBCuoYlOBs1vxOEy9A+AWp+kwhpEIiy4aWWXdmj4rgnhL/TuZHnLu/+fs/gV3sc5z0moqvOdXW53o8qmLd4q8YHdK4s1xXkWrtcy7Ho/VrBvLfXLukV5mnEo6hzUPO7qJF1yy9qfrsVj6Ja45ooWVTOZfeLPCt7BqTjf57FbyWkmgxHfgmkLn7nrea3it8/XLC423IsiN/pnABv7n9D7ll/t9y74f/JxrdfrEw67oSPyewJV8jlk66Uk/uNSMeYlGdB/E4ZeAmnQ/wuYdAzcDmK+B3FzEAw13rkKpjv8kRxXVG+v3M1ebv3d7CyfH/nc1Hm0T5acqW3d6tlWLRWeR+vDIsK53qMOtJxR+uZ9/ZE9EHerYrpx5nnEkcAACAASURBVGspl8565lrGhSNeAojf8fJktPoEEL/JjDQIIEqmQZk5yDNyIA0CiN9pUGaORgRSF7/VkHqrqeuVQnEhbIjf2UZBV3mveOUx+acXFsrjmx8W/dsXG44/SWZOuEwum/hl440rs/Uo2uyI39G40Ss8AcTv8KxoGZ1AWuJ3FAt19biuHFfBXIVxFch1FbkK5iqcq4CuQro+r4du/hnnEWzuqaK4iuMqkqtYrqK5Cux66Ap0PVRcV5E92BhUxfegTZw25XUsxO+8Ri5fdiN+5yteebUWUTKvkcuX3eRZvuKVV2sRv/MauWLYnYn4nSd09YT66pIn1Pw2j2aYmt9au/veDf8ov/BE7237tvqT9P1wP5nb75syYczHZcanZ0vP43oaTU7Nb5G4agNT89so9eo2puZ3fYbU/DbPrbjOa/OZzXtUi995srva0+qavyqW7/ME8X3e7d5O8Vxv9e/gcb3VmubVfwfP6+MqqOvftodXJl36eUJ5f08f19t+/u3R+/29x7QWut5WP17dZ/vvn5XDe/fItGnn25qTaX9qfjfGn+T7d6ZBT2lyan6nBLrONNT8fjc7+DHPTM3vmIHGMJxr4jc1v2MIqoND5Fn8Vg2rra3NQaqYFJYA4ndYUp3tvv6tebJzV7ssXXiL/4iK31mcBNu3b5elS5fK1VdfbeiBffM1a9bIli1bZObMmZEGa8Rs+77tsnzj8srvnkN7/PEvHHehzBg3Qy4cf6G8sPIFGT16tEyZMsV4bltmd9xxh+/zsGHDjOdevXq17NmzRy644ALjvnHm2SOPPCIDBgyQqVOnRrIj6HTw4EG5/fbb5YYbbrAap17nefPmyXXXXSd9+vSJfezqATds2CDPP/+8XHHFFYnO02hw2/PI1mjbnLSdv1H/3bt3y89//nM/B1w7NOe/+tWvysCBA50yLa7zOm2n8mq3vvdGfR+qx1jXcu/1fts7f4P7zW61fW0brYNuc0z13qsGee9Vq733qhZvoP7eb/Vtvcdq2wR/a9teNsbE3Hfz5s3y1FNP+edwmY8k37/LwDXu878MzOLyMevrtrj8YByRtK71YZ1fAosXL5bTTjtNJk6cmF8nsLxQBLLS/QoFMWNnUhO/g1rfc6+8RK69anYXt7t7LmM+x0y/dv0mab3m5sqGl6z8No9Q7crv37y+UlZseUye3PJoZfPKsQPHy/mjPy/T/+rzct7oz1UmqV5xYzozK79Z+V2dM1mvIGLld/0zmJXfpq9s8Z3X5jOb9yjaym9zAsn1OOINXW8Vuq5O1xXm3a1MD1auj3tmtfRpb5cHI35RW+1drwarzHXVeb1V6LpivdHKdLP/8xJh5XfjPGPlt905yMpvO342vbO+brOx3aavaytybXwJ+rLyOw6K8Y7hWp6x8jve+LoyGiu/XYlEOe1ITfyeOecmGTyoRe66rf5K0doV1a6GIyiDUl36hA0vzaO1de+r8qRXy3uFJ3g/6QnfB48c8MuYTP+rz3mi9wUy3RO8R7d81Hzggvag5ndBA+uQW9T8digYBTbF5ZrfBcZu5Np7nSJ6UJKlfskWT0z3ap7XK++iZVyCPjqW7dGnW7G8tsxLR0mXgZ5tJ/fp4ZVwedf/u0NY/0C0NAwHBOIiQM3vuEgyTncEXBMliVYxCZBnxYyra17lWfxWlqrJcOSXQGri96nT50h3m1rWE5VdwHrOrGtl5ZL5FVPqifiI3+Ej9etXfiVPvqqi92Py0q71fscJgyb5Yvf53irvc0blu85oeBJmLRG/zXjR2pwA4rc5M3qYE0D8NmeW5x7tnhC+x1t1fsj7fatzg9Bgo1DdRFQr2LZ7t7rBqK5Q101Hj3RuNKp+64ajHdtcx3PopqC6OageLd593TBUD908VDcR1aOnd//kI51PeH8P8x7Xx/TQDUhVRNdDNyXVzUk7+ojohqUc5SKA+F2ueGflLaJkVuTLNS95Vq54Z+Ut4ndW5JlXCSB+N8kDFbs3bu7YcFGPs06fdMzqdcTv7iFu3vNnf3W3ljVZ4a32PvLBEel1XG85f4yWNPF+PdF7RP9RnJHdEED8Jj2SJoD4nTRhxlcCiN/kgSmBAzUlWzrKuBxddV5vZfo7nmh+oMdxstsTpDue7ygJk7Q8rSL4Rzxx/CPeRPqrorp/q3979/3b2se99rrDRUc7r713v6NdZ3v/785xOsfX53uYgqR97AQQv2NHyoB1CCBKkhZpECDP0qDMHIjf5ECWBFITv3UF9bfnXiGzZkyr66+u/P7hgsVdVllnCSbs3NT8rk/qyPtHfKH7yVc6ypqoAK7HxMGnSuvOy+TUS8+Ss0ecGxZzpR01v42RdemwetUT0rdfi0yecobVQEnWDE2rDmDWtSOp+V0/Ban5bX5qxnVem89s3oOa3+bM0uyxds2z8s6+dpk6Ld//hdWo5vdvfve0/PXsf+cj3eUJ5Ps9UVwPLdWyq/P+YfmQbK+qj7Kth64+73hS22hbPdq9G121rsch71dXsqd51K4215XnPTrV/UGeWK710/XQlerBCnUVzIcdOCB7/+HH0vI3f+u30bbBof1rV7Dr36Y119PkkPZc1PxOm/jR+bK+bsvK8yKKkmld62cVszzO61qeUfM7j1nU3OY8i9+6b11bW1tzJ2nhLIHUxO/v/OAn8sJLW2TpwlvqwmhWE9xVgojfXSOjpUz8zSs94fvXr/7Kf/L4D/f1Vnd/rmOVt/f7wM/+Uf7D3/znSCFF/I6ErdIpLpEM8dsuDtob8bs+Q8Rv89yK67w2n9m8B+K3ObM0exRd/H7umafl4ktbE0calHbRibTci5Z90UPLu6horsch7/5bgeDu3dcSL8FRXe7lbU+IDwT3oDSMjQN9Dh6U62+/XW69of4ePM3GbvHE8gFVS+h7e/eH1JR8GVXzt4rvQbkY/7rQ+w0Eef1bRfnhNX10TB07OHROnTvrA/E7uwggfmuhqGIciN/uxRHx272YFNEixO8iRjU/PqUmfisSXf2tR3UN7eDxXbv3SvUmknlBiPgtcvDwAX919wpd5e2J3rqZpR6fGHKaX9JE63lPHX50xb9+a4b4bZbhNsyqZ4pLJEP8NotfvdaI3/UZIn6b51Zc57X5zOY9EL/NmaXZA/E7Tdp2c2kt9FrBXOul66Gr0HU1uh4quGvpFz1UcN/57iEZt+B/yYvX/ydfiNfng6O63nrwWNx11+28Ptq7Xp316tXv2rJ6Bbz+3dsTz7Xue/Ux8hjRvaNcTXBU13bXx9Y9/pCMPXmkTJg0WSh7Elc0w42D+I34HS5TaBWFAOJ3FGr0MSWA+G1KjPZxEkhV/FbDdQX4skef7uJDvTracTqZ9Fhlrfm9bscfO+p4e8L3b15f6WPu36ulsnnldG+V99DjT0oafynGp+Z3KcKcqZPU/M4Uf2kmp+Z3aUKdqaP1yp5kalCBJtdNSXUFenBUb2YaPFa98l0fCzY3DZ73y8xUrXQ/4j3xek3ZGBXdAzFf++nGqbqBqstH9Yaq1XbqqvcTOjdUrX68u41S/bHqrHSvXTVfPV7tivvgOZ27euV98Lhu/lr7ZYDLfMtqm2uiZFnjUHS/ybOiR9gN//IsfitB1WQ48ksgdfE7v6gaW1428fs3W38tP1t7hzyy6QE5/L6uPfIunj2R+/JJV8qXT71KRrWMLmKYM/UJ8TtT/KWYHPG7FGHO3EnE78xDUAoDEL+LH2YV3d+sEcNf8+qzVx+1Qr2K7m9XNTlcU25G+77llZk52FnjXf+uru2uf2dR3z2LaDYS0rVcja6Grz10tfyQOgK/tvPrxtcR8vt74wyo83i9MjjBfLWr+xuxKVKtekTJLM6A8s1JnpUv5ll4jPidBXXmDAggfseQC2URv5d7Yvedz/9vUfFbj57H9ZTpXi3vKz/xDf9W/+ZIhgDidzJcGfUoAcRvsiENAojfaVBmDsRvciANArVlTxqViNGNUYNa79V21ZauqX6udrV88Fztqvng8Xqr54PnquvOV88RRw35NDgnOUdYkXzkkXD15ht9aVDtQ0/vi4KTQ4ynXwKoffp61sv7fedgx4Kj2iPsCv569fltxksyLoydPgHE7/SZl3FGxO8yRt0dnxG/LWNR9JrfurL7vhf/Se5Yc7ts2PmCT+vTPT8t5w38rMy++Ctycr8RxgRt6lez4aUx7i4d4qoNTM1vuzhob2p+12dIzW/z3IrrvDaf2bwHNb/NmaXZg5rfadLOZq4k37+z8SjdWcuy4WVt6ZqAspar2V+n+oyultdV8/WO12pK2lSPFWzmWt2v0er6oS+9KIPX/lEeu/zypkF3tVZ9U8Nz1KCv932A1tVvdtQr+/OZ2/6nPPXNa+Vwnz4Nu3f33wTN5qx9ftSRBv+WYDjQEM/deuWIDIfxyhCFY9ds3B7eOPoFSRzHX3lfsJzQu4fs2utGbfnHHrpfxk/8hIwZOz4O9xjDEQJ5Fr9Vw2pra3OEJGZEIYD4HYVaVZ+iit+bdr8sD29aJg//eZn84Y3f+R7/q5P+Wi485RI57YPT5Mju9+Tcz1wYiR7itzk2G2bVs8UlkiX54TmtHeCz3jgJ8bv+eYD4bf76ENd5bT6zeQ/Eb3NmafZA/E6TdjZzJfn+nY1H6c5aFvE7XarhZkviui2sSF5bUqeRxY2+NKhuf9j7omB7gy8KurTrLMuj75s9vZI+h96rL+CGLcVTrz5/PT/CjhcuavVb3ThvnvzouuvkYDfit8349M2OQIv3hciAGPT4z99zj+yY/El5c8LHsnOmZubaTZRdMCyuL3bi8qW7fSl0jl4fPs57PTtO9jf4T5a47KgeR0tyVW9kHXWOP/39rYjfUeE50g/x2zIQRRO///jWH3zBe7knfL+0a71P55xR58uFYy+RGWO/KCf1Pdl6xaqNkMvKb7uEjUskS/LDM+K3XYzD9q4VuVwpe4L4HTaCR9vFdV6bz2zeA/HbnFmaPRC/06SdzVxJvn9n41G6syJ+p8u7erYkxO/svAk/s6vlKMKWzfFr7deI/ev/z49kwlVzpUfvxiu/u/tvgvD0Olo2+u8D03G0HNGhGDbeDcuumX26KbB+gRPH4fsWx0AxjdG6eLGsOe002TBxYkwjMgwE7Ah87/vfR/y2Q5h5b8TvGEJQhJrfWsc7WOn9+r7XfCq+4O2t9J7x0S9Kv179YyDFEFEJUPM7Kjn6hSXgivgd1l7a5ZMANb/zGbe8WU3N77xFLJ/21tb8zqcXWO06AVfFb9e5YZ8ZgbjyrN37cmBPDHp82P9UMPPSrnXtJsp2o8XTO64vduKxRqTRvhTB+D29L1mO837fPRxPKaIwdtduZB2mT702lx86LNf36xW1O/0cIID4HUMQ8ix+P7b5IX+l98Oblkr7oT3Sv1eLXOCt8A5WeseAhyFiIID4HQNEhuiWAOI3CZIGAcTvNCgzB+I3OZAGAcTvNCgzR1yiJCQh0B0B8oz8SINAnmt+Kx/VZDjySwDxO4bY5U38PnB4f0dpk788IMu92yMfHJFh/Yb7K7y1pve0kefFQIUh4iSA+B0nTcaqRwDxm7xIgwDidxqUmQPxmxxIgwDidxqUmQNRkhxIgwB5lgZl5kD8JgeyJID4bUk/TzW/3zrwpi92L//LMlmx5XHf83EnfMyv5a0rvaecdEYoGrYb9VHzOxTmLo1smFUPFFdt4CRrhlLz2zw/ovSg5rc5tUX/9w75wqxW6d8ywLxzgj3iOq8TNLEyNDW/06AcfQ5qfkdnl5eeSb5/54WBjZ3U/LahZ9eXmt/v2gF0qHda1/oOuey8Ka6J3489dL+Mn/gJGTN2vPPsMDA8gTyL36rHtLW1hXeWls4RQPy2DEkexO/Ne/7s1/NevukBeXbbat/jKUM/VSlvMn6Q2UYSiN9DjbPGVlBA/DZG3rRD1h+ibM+jpg42aYD4bU4Q8ducWW0PxG97hkmOYPtelaRtJmPXW/m9besr8twzT8vFl7aaDFW4tojfdiFF/LbjZ9M76+s2G9tt+romStr4EvRF/I6DYrxjuJZniN/xxteV0RC/XYlEOe1A/LaMu8vi9592PN9R3sSr571h5wu+p/965PRKPe+T+42I5L2taGcj5FZ/6DA1fueON+Wpxx+S2a1zTLv67e9btFDO/exFMvhExO8kPzyndUGc9Yco2/MoUhJXdUL8NieI+G3OrLYH4rc9wyRHQPxOkq4bYyf5/u2Gh8lagfidLN/uRs/6ui0rz10TJePgkNa1fhy2lmUM1/IM8buYmYf4Xcy45sUrxO8YIuVaze/Vr6/yBG9vE0tP+H5t7yu+hxd89GK/nveMj14i/Xu3xOA1Q6RJgJrfadIu51zU/C5n3NP2mprfaRMv53zU/C5n3NP2mprfaRMv53yuiZLljELxvSbPih9jFzzMs/it/Njw0oUsim4D4nd0dpWerojfv9qy3Be8H/ZWeu8++LYc37Nvh+Dt1fPW2w95Pxz5JID4nc+45clqxO88RSu/tiJ+5zd2ebIc8TtP0cqvrYjf+Y1dnixHlMxTtPJrK3mW39jlyXLE7zxFq3i2In7HENMsxe9DRw76tby1prcK34fff0+G9h3mrfD2NrH0BO9/M+ozMXjIEFkTQPzOOgLFnx/xu/gxdsFDxG8XolB8GxC/ix9jFzxE/HYhCsW3AVGy+DF2wUPyzIUoFN8GxO/ix9hlDxG/LaOTVc3vN998XX758D2yqPciWbfjj74XfT/cT/79qXPkm6d/W4Yef5KlZ42729Yqpua3eWhsmFXPtnrVE9K3X4tMnnKGuRFVPZKsGZpWHcCsa0fankdWAfQ6U/PbnCA1v82Z1fag5rc9wyRHoOZ3knTdGDvJ9283PEzWCmp+J8u3u9Gzvm7LyvMiipJpXetnFbM8zutanlHzO49Z1NzmPIvfqse0tbU1d5IWzhJA/LYMTRbi99KX75U7/2W+nLnvDFng/ajQPWfy1fK1T14jLb0HWHrUvLutaGcj5LLhZfP4dNcC8fsonaw/RNmeR3aZgPgdhR/idxRqXfsgftszTHIExO8k6boxNuK3XRwQv+342fTO+rrNxnabvq6Jkja+BH0Rv+OgGO8YruUZ4ne88XVlNMRvVyJRTjsQvy3jnqb4/fjmh+V/rP6+v9J7mPdzeY8rZPg5p8jlk74svXv0sfQkfHdb0Q7xOzzroKUNs+rZEL8RvwMCrPw2Pw8Rv82Z1fZA/LZnmOQIiN9J0nVjbMRvuzggftvxs+mN+P2uDT6n+iJ+OxUO3xjEb/diUkSLEL+LGNX8+IT4HUOskq75/eDG+0VXez/45yW+tWcOP1tmjr/M/z2hz6AYPGAI1wlQ89v1COXfPmp+5z+GefCAmt95iFL+baTmd/5jmAcPqPmdhyjl30bXRMn8E8WDegTIM/IiDQJ5Fr+Vj2oyHPklgPgdQ+ySEr9/tWW5LH3pXl/4Pvz+YZk8ZEpF9B7ef2QMljNEXgggfuclUvm1E/E7v7HLk+WI33mKVn5tRfzOb+zyZDnid56ilV9bESXzG7s8WU6e5Sla+bUV8Tu/sSuC5YjfMUQxbvF71atPytKNnuj90j/LO+/tk/EnTPRE7y/JzAmXydiB42OwmCHyRgDxO28Ry5+9iN/5i1keLUb8zmPU8mcz4nf+YpZHixG/8xi1/NmMKJm/mOXRYvIsj1HLn82I3/mLWZEsRvy2jGacNb+f3bbaX+Wtq713Htwho1pGV1Z6f/zEyV0s3bnjTXnq8YdkduscSw/Mu1Pze6gxNNs6qtT8NkbetEPWtSNtz6OmDjZpQM1vc4LU/DZnVtuDmt/2DJMcwfa9KknbTMauJ35v2/qKPPfM03Lxpa0mQxWuLTW/7UJKzW87fja9s75us7Hdpm8RRUlqfttkRDJ9XcszNrxMJs5Zj5pn8Vv1mLa2tqwRMr8FAcRvC3jaNQ7xe+1bayrlTV7f95oM+chQf5W31vQ+fdiZdS1E/O76ZUCYMNoyu2/RQjn3sxfJ4BMRv5P88JzWBXHWH6IQv+uftXvb98iDSxZJ61euDnNap9oG8dseN+K3PcMkR0D8TpKuG2Mn+f7thofJWoH4nSzf7kbP+rotK89dEyXj4JDWtX4ctpZlDNfyDPG7mJmH+F3MuObFK8Rvy0jZiN8vv73BW+n9z77wvWn3y9K/V0ulvMnZI87t1jJbIdfGbVvRzmYVc/WHDlMfbJkhfh8lnuSH57QuiLP+EGV7Hpnmf217Vn6bE0T8NmdW2wPx255hkiMgfidJ142xk3z/dsPDZK1A/E6WL+L3sQRcEyXjyIC0rvXjsLUsY7iWZ4jfxcw8xO9ixjUvXiF+xxAp05rfr+zZ3FHT2ytxsn7Hn6Rnjw/LrHHeSm9vtff5oy+IwSKGKBoBan4XLaLu+UPNb/diUkSLqPldxKi65xM1v92LSREtouZ3EaPqnk+uiZLuEcKiOAiQZ3FQZIxmBPIsfqtvqslw5JcA4ncMsQsrfr+5/41KeZM/vPE7f+YvjLvUL2/yhVNmxWAJQxSVAOJ3USPrjl+I3+7EosiWIH4XObru+Ib47U4simwJ4neRo+uOb4iS7sSiyJaQZ0WOrju+IX67E4syWoL4HUPUm4nf7Yf2VDay/M3rK/0ZPzNmhlwy7ksya8Ll0vO4njFYwRBFJoD4XeTouuEb4rcbcSi6FYjfRY+wG/4hfrsRh6Jbgfhd9Ai74R+ipBtxKLoV5FnRI+yGf4jfbsShrFYgfltGvrua3+++f6iy0vvJLY/5M2kt747NLL/k1/iOetjWr446r/azrVVMzW9z+jbMqmdbveoJ6duvRSZPOcPciKoeSdYMTasOIDW/n5V39rXL1Gnn+5F1Rfxmw0vzUzOu89p8ZvMe1Pw2Z5ZmD2p+p0k7m7mSfP/OxqN0Z6Xmd7q8q2fL+rotK8+LKEqmda2fVczyOK9reUbN7zxmUXOb8yx+qx7T1tbW3ElaOEsA8TtEaGbOuUk2bt7qtxw3ZoQsXXhLpVcj8XuZbmTp1fRevukBv+3pw870y5vo75Djh4aYtfsmiN+TjRnaMmPDy6PIk/zwnNYFcdYfomy/RDI+AWo6sOGlOUE2vDRnVtsD8dueYZIjIH4nSdeNsZN8/3bDw2StQPxOlm93o2d93ZaV566JknFwSOtaPw5byzKGa3mG+F3MzEP8LmZc8+IV4neTSH39W/Nk5672iuCtQvjgQS1y1203+D1rxe9H//JgZbX3B/KBfHzw5M6V3pfJqJbRseWFrZBrY4itaGezirn6Q4epD7bMEL8Rv01zrrv2tueRrS2I3+YEEb/NmSF+2zNLcwTE7zRpZzMX4rcdd8RvO342vRG/37XB51RfxG+nwuEbg/jtXkyKaBHidxGjmh+fEL+bxOqcWdfKt+deIbNmTPNbLlm+Sn64YLGsXDK/0lNrfv/yxeXeSm9vtfdL98rBIwdk7MDxlfIm40+YmJ+MwFInCVDz28mwFMooV8qeFAoqzhxDgJrfJEUaBKj5nQZl5qDmNzmQBgHXRMk0fGaO9AmQZ+kzL+OMeRa/NV6qyXDklwDidzexW7t+k7Rec7Ms+vF3ZfKksX7L2sdWvrJS7l7zC7l3/WLZffBtGd5vZEd5E6+u9+QhU/KbGVjuFAHEb6fCUUhjEL8LGVbnnEL8di4khTQI8buQYXXOKcRv50JSSIMQJQsZVuecIs+cC0khDUL8LmRYc+MU4rel+P3cRZfIpx7uqOvNAQEIQAACEIAABCAAAQhAAAIQgAAEIAABCBSDwOGv/Vfpedd/K4YzJfUC8dtS/Naa323f+17q6bN92DBZOmuWXL1gQepzr5kyRbaMGSMzlyyJNPf3PV5RmanPozdvlilr1hjPbcvsjrlzfZ+Hbd9uPPfqqVNlz8CBcsHy5cZ9tYMNs+oJH5kxQwbs3i1TV6+OZEfQ6WCfPnL79dfLDbfeajVOvc7zbrxRrvvRj6TPwYOxj1094IaJE+V5L5evWLQo0XkaDW57HtkabZuTtvM36r/bO09+PmeOnwOuHZrzX124UAZ655BLR1znddo+5dVum/ehtBmbzufq64KpH/Xab/auW56aPt0/h8t8JPn+XQauRT7/XY9f1tdtrvPJk31pXevniQm2diWwuLVVTvM+70/csAE0EHCCgK/HtLU5YQtGRCOA+N2EW72a3zfdeqesW9Hx4al2w8toYTDvZbt5o/mMR3vYbtTHhpfm9G2YVc+2etUT0rdfi0yecoa5EVU9ktwwK61NcLLeOMn2PLIKoNeZDS/NCbLhpTmz2h7VZU/iej2yt8psBJuNl81mSr81G16mzzztGZN8/07blyzmY8PLLKh3zJn1dVtWnhexHEVa1/pZxSyP87qWZ489dL+Mn/gJGTN2fB5xYnMDAnkue6J6DOJ3vlMb8btJ/L7+rXmyc1e7LF14i99y5pybZPCgFrnrthv8vxG/zU8AGyHXRnSw/cLgvkUL5dzPXiSDTxxq7LStoGDDrNrYuMSmJD88p3VBnPWHKMTv+qfR3vY98uCSRdL6lauNz7OkOyB+2xNG/LZnmOQItu9VSdpmMna9mt/btr4izz3ztFx8aavJUIVrm+T7d+Fg1XEI8Tu7KGd93ZaV566JknFwSOtaPw5byzKGa3mG+F3MzEP8LmZc8+IV4neISKngvXHzVr/luDEjKkJ40HXv/vdk74HDIUaiCQSiEWDDy2jc6BWeABtehmdFy+gE2PAyOjt6hifAhpfhWdEyOgE2vIzOjp7hCbgmSoa3nJZ5IkCe5Sla+bU1z+K3UldNhiO/BBC/Y4gd4ncMEBmiWwKI3yRI0gQQv5MmzPhKAPGbPEiDAOJ3GpSZA/GbHEiDAKJkGpSZgzwjB9IggPidBmXmaEQA8TuG3ED8jgEiQyB+kwOZEkD8zhR/aSZH/C5NqDN1FPE7U/ylmRzxuzShztRRRMlM8ZdmcvKsNKHOh7sKfgAAEaxJREFU1FHE70zxl35yxG/LFKDmtzlAm/rV1Pw2513dg5rfR2lkXTuSmt/1c5ma3+bneFzntfnM5j2o+W3OLM0e1PxOk3Y2c1Hz2447Nb/t+Nn0zvq6zcZ2m75FFCWp+W2TEcn0dS3PqPmdTJyzHjXP4jcbXmadPfbzI35bMkT8NgeI+J0uM8Tv+ryz/hCF+I34bf5KUL8H4ndcJMONY/MlbLgZsmuF+J0d+7RmRvy2I434bcfPpnfW1202ttv0dU2UtPEl6Iv4HQfFeMdwLc8Qv+ONryujIX67Eoly2oH4bRl3xG9zgIjf6TJD/Eb8rkegVuRypewJK7/NXx8Qv82Z2fRA/Lahl07femVPtm19RZ575mm5+NLWdIxwdBbEb7vAIH7b8bPpjfj9rg0+p/oifjsVDt8YxG/3YlJEixC/ixjV/PiE+J2fWGEpBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIhCSA+B0SFM0gAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAgPwQQv/MTKyyFAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIACBkAQQv0OCohkEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQjkhwDit0WsZs65STZu3uqPMG7MCFm68BaL0ehaZgImubRk+Sq56dY7j8G1bsXCMiPEd0sCa9dvktZrbpZFP/6uTJ401nI0upedQNh84vWs7JkSr/9f/9Y8+e3v13cZlPfGeBmXaTTTfOL1rEzZkbyv3/nBT2TZo0/zepY86lLMYJpPvJ6VIi0ycTLIRT5zZoK/1JMifkcMv14Q79zVXhG8VbwcPKhF7rrthogj0q2sBExzSS9GfrhgsaxcMr+syPA7ZgLnzLpWdu3e64/KhUjMcEs4nEk+8XpWwgRJ0GXNver3Rv2AteqZtbxfJsi8yEOb5hOvZ0XOhvR908+Wf3fDVZUFCfN/ep/c88CTvJ6lH4pCzGiaT7yeFSLszjmhefWzRQ/7C0j5zOlceApvEOJ3xBDrBfG3514hs2ZM80fgDSIiSLqJaS6RayRNEgTCrtRNYm7GLB6BsPnE61nxYu+SR2Hz0CWbscVdAs3yidczd2NXBMua5V8RfMSH9Ag0yydez9KLRZlmOnX6HF/05r+NyxR1d3xF/I4Qi3pvFs3eQCJMQ5cSEIiSS/X+DY1/6y5BsiTsIq9hCQMu2fBh84nXs5IlRsruslIyZeAFn65ZPvF6VvAEyNg9/U/Rlze9xsrvjONQlOmb5ROvZ0WJtDt+6H8ffK31Qjll9HDEb3fCUipLEL8jhDuKYBlhGrqUgEAcuVRbNqUE2HAxAQJhxcoEpmbIAhKImk+8nhUwGTJyKcjBW278RuW/9DIyhWkLQCBKPvF6VoDAO+BCdSkxFrs4EJCcmxA1n3g9y3ngMzZfy9C9seNtv0Rw1M8IGbvA9AUggPgdIYhxCJYRpqVLAQnEkUvBGFwQFzBBUnSJC5EUYZdgqqj5xOtZCZIjBReDPJp75SVy7VWzU5iRKYpMIGo+8XpW5KxI3zf9z4MFdy8TrvfTZ1/EGU3zidezImZBOj7VltCJ+hkhHWuZpcgEEL8jRrdeneabbr2TC5KIPMvczTaXgn9L42K4zFlk7zsXIvYMGeEogaj5xOsZWWRLIMghNlKyJUl/JWCTT7yekUNxEwjq5U6eNDbuoRmvhARM8onXsxImSEwu1yuhEwzNIoWYIDNMKAKI36EwHduo9l9/tIbR4EEt/r9ycEDAhECzXNLc0mPpwlv8WxXLVy6ZX5mC3DOhTdtGBKKKlRCFQD0CjfKJ1zPyJUkCbNCVJN3yjd0sn3g9K19OpOlx7fW+lg1Y9cxaan6nGYQCzdUsn3g9K1CwHXeFz5yOB6jA5iF+WwRX3yQ2bt7qjzBuzIiKOGkxJF1LSqC7XKq9GKluq7jOOn0SX7qUNG/icru6/p+OOWhgfz5cxQW3hON0l0+8npUwIVJyOfgwVW866n6nFIQCTRMmn3g9K1DAHXSl9npfTeS/PB0MVE5MapZPvJ7lJJAFMBPxuwBBzKkLiN85DRxmQwACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAQGMCiN9kBwQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCBSOAOJ34UKKQxCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIID4TQ5AAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIBA4QggfhcupDgEAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACiN/kAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCBSOAOJ34UKKQxCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIID4TQ5AAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIBA4QggfhcupDgEAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACiN/kAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCBSOAOJ34UKKQxCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIID4TQ5AAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIBA4QggfhcupDgEAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACiN/kAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCBSOAOJ34UKKQxCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIID4TQ5AAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIBA4QggfhcupDgEAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACiN/kAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCBSOAOJ34UKKQxCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIID4TQ5AAAIQgAAEIAABCKROYP5P75MFdy87Zt65V14i1141W86Zda3/3Mol849po88NGtgiSxfe4j/XbKxTp8/p1r9BA/v783z9W/Pkt79fX7ftLTd+Q2bNmCYz59wkGzdvleDvoPGS5avkplvvlHFjRlTsqh0ojB3Tzpwsyx59utL1ks+fLf/9v/xHo3nD+JF6wJkQAhCAAAQgAAEIQAACGRBA/M4AOlNCAAIQgAAEIACBMhMIxNlFP/6uTJ40toJCRezHVz5XEY9VLD7r9Ely1203VNp85wc/kVXPrK2I4mHHqhWpa8VrfV7H2rmrvaF4rW0C8bvWruDx7sTv6pgHYnk9O+o9ZzJvGD/KnH/4DgEIQAACEIAABCBQHgKI3+WJNZ5CAAIQgAAEIAABJwioqB2saO7OoFoReO36TdJ6zc1dVl2HHStO8XvwoBZ/hXgg3gd2qSDeTDwPY0cj8TvsvIjfTqQ5RkAAAhCAAAQgAAEIOEAA8duBIGACBCAAAQhAAAIQKBMBLVsyfuzILiu6G/mvQu7Lm17zV3rr6mcVgKtXgpuMpXN0t+I6jGisNnx8wmh5Y8fbctKJJ/glSXQ1uh76WJLid9h5w/hRpnzDVwhAAAIQgAAEIACB8hJA/C5v7PEcAhCAAAQgAAEIZEIgEKCDyYOa242Mqa6VvW7Fwi7NTMdqJn6HqfmtIvRZp3/cr/Gt9qh9ugr87//h3sTF7zDzUvM7k7RmUghAAAIQgAAEIAABBwkgfjsYFEyCAAQgAAEIQAACZSEQlAwJ/K1XDiUQrIPNMBuxMRnLpua3it/BJpRqS7Aa3WTFdZSa32HnNbGjLHmGnxCAAAQgAAEIQAAC5SSA+F3OuOM1BCAAAQhAAAIQcI6Alg9Z9ujT/mrq6qNere9mxjcaq9nK72ZlS4KyJyp+6wadC+5eVqlBbiI624jfzeY1saMZR56HAAQgAAEIQAACEIBAngkgfuc5etgOAQhAAAIQgAAEckZAhexf3P+4v3K69ghE3WAjyeD5RuJ3lLHiFL/VPq05rvXI9TARnW3E72bzmtiRs/TBXAhAAAIQgAAEIAABCBgRQPw2wkVjCEAAAhCAAAQgAAEbAtWlSapXeAePn3X6pGM2wuxO/G695mbfnLBjxS1+V7MwEZ1txe/u5jWxwyaW9IUABCAAAQhAAAIQgIDrBBC/XY8Q9kEAAhCAAAQgAIECEqjexDJwr1FN72ZlT0zGaiZ+h93wst7KdRPRuZEdQbmWgElQA7263EptOtTOy4aXBTxhcAkCEIAABCAAAQhAIBIBxO9I2OgEAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACLhNA/HY5OtgGAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACkQggfkfCRicIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhBwmQDit8vRwTYIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCIRADxOxI2OkEAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgIDLBBC/XY4OtkEAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEAkAojfkbDRCQIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABFwmgPjtcnSwDQIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCIRQPyOhI1OEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQg4DIBxG+Xo4NtEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgEIkA4nckbHSCAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABlwkgfrscHWyDAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIACBSAQQvyNhoxMEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQi4TADx2+XoYBsEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhEIoD4HQkbnSAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQMBlAojfLkcH2yAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQCASAcTvSNjoBAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAi4TQPx2OTrYBgEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAApEIIH5HwkYnCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQcJkA4rfL0cE2CEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQiEQA8TsSNjpBAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEICAywQQv12ODrZBAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIBAJAKI35Gw0QkCEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAARcJoD47XJ0sA0CEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQiEUD8joSNThCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIOAyAcRvl6ODbRCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIBCJAOJ3JGx0ggAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAZcJIH67HB1sgwAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgUgEEL8jYaMTBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIuEwA8dvl6GAbBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIRCKA+B0JG50gAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEDAZQKI3y5HB9sgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAgEgHE70jY6AQBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIuE0D8djk62AYBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAKRCCB+R8JGJwhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEHCZAOK3y9HBNghAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIhEAPE7EjY6QQACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAgMsEEL9djg62QQACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAQCQC/x+dSbgrb4OsHwAAAABJRU5ErkJggg==",
"text/html": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['cyan', 'green', 'violet', 'red'], show_intervals=True, title_prefix=\"With ZERO enzyme\")"
]
},
{
"cell_type": "markdown",
"id": "9a793ebf-f544-43ad-a1d3-059f74f3c02b",
"metadata": {},
"source": [
"### The reactions, lacking enzyme, are proceeding slowly towards equilibrium, just like the reaction that was discussed in part 1 of the experiment \"enzyme_1\""
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "d684e2c3-c717-4c95-8852-62729914e48f",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0: S <-> P\n",
"Final concentrations: [S] = 3.37 ; [P] = 16.63\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 4.93491\n",
" Formula used: [P] / [S]\n",
"2. Ratio of forward/reverse reaction rates: 5.00001\n",
"Discrepancy between the two values: 1.302 %\n",
"Reaction IS in equilibrium (within 2% tolerance)\n",
"\n",
"1: E + S <-> ES*\n",
"Final concentrations: [E] = 0 ; [S] = 3.37 ; [ES*] = 0\n",
"Reaction IS in equilibrium because it can't proceed in either direction due to zero concentrations in both some reactants and products!\n",
"\n",
"2: ES* <-> E + P\n",
"Final concentrations: [ES*] = 0 ; [E] = 0 ; [P] = 16.63\n",
"Reaction IS in equilibrium because it can't proceed in either direction due to zero concentrations in both some reactants and products!\n",
"\n"
]
},
{
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},
"execution_count": 10,
"metadata": {},
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],
"source": [
"# Verify that the reactions have reached equilibrium\n",
"dynamics.is_in_equilibrium(tolerance=2)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "4677fcaa-e90b-4975-a567-cb55b66f91f2",
"metadata": {},
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{
"data": {
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"(0.7322948238817497, 10.0)"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=1.0)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "0a43f0bf-7718-4e60-8756-989ff3f7f680",
"metadata": {},
"outputs": [
{
"data": {
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"\n",
"\n",
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\n",
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" | \n",
" SYSTEM TIME | \n",
" E | \n",
" ES* | \n",
" P | \n",
"
\n",
" \n",
" \n",
" \n",
" | 27 | \n",
" 4.150766 | \n",
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"source": [
"dynamics.get_history(columns=['SYSTEM TIME', 'E', 'ES*', 'P'], tail=1) # Last point in the simulation"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "d4e378a6-550d-44b1-9d38-110844da1397",
"metadata": {},
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"source": [
"P_equil = dynamics.get_chem_conc(\"P\")\n",
"P_equil"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "ddc9d6bb-ea70-4471-bc1f-b0f1c48fd84c",
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"source": [
"P_70_threshold = P_equil * 0.70\n",
"P_70_threshold"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "52f5a61b-eaab-46e7-ba0a-01c0b58ce9d1",
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],
"source": [
"dynamics.reach_threshold(chem=\"P\", threshold=P_70_threshold)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "cf52d120-927e-44bb-893d-1673e9fd8bd6",
"metadata": {},
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},
{
"cell_type": "code",
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"id": "978149dc-c503-4ca8-b490-83a2e97b40a8",
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},
{
"cell_type": "markdown",
"id": "27401e5d-8f3e-4c27-8438-129d3e3408a2",
"metadata": {},
"source": [
"# 2. Re-start all the reactions from the same initial concentrations - except for now having a tiny amount of enzyme (two orders of magnitude less than the starting [S])"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "dd68db69-c705-4eed-9075-589a1359876f",
"metadata": {},
"outputs": [],
"source": [
"E_init = 0.2 # A tiny bit of enzyme `E`: 1/100 of the initial [S]"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "373ce459-3b57-4ab2-a136-4eb8bedcdd91",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"4 species:\n",
" Species 0 (S). Conc: 20.0\n",
" Species 1 (P). Conc: 0.0\n",
" Species 2 (E). Conc: 0.2\n",
" Species 3 (ES*). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'S', 'E', 'ES*', 'P'}\n"
]
}
],
"source": [
"dynamics = UniformCompartment(chem_data=chem_data, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n",
"\n",
"dynamics.set_conc(conc={\"S\": 20., \"E\": E_init},\n",
" snapshot=True) \n",
"dynamics.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "bb87b0c2-6e5d-4e9a-86a1-9eb76cfe2d3a",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1476 total step(s) taken\n",
"Number of step re-do's because of negative concentrations: 0\n",
"Number of step re-do's because of elective soft aborts: 1\n",
"Norm usage: {'norm_A': 1458, 'norm_B': 1472, 'norm_C': 1458, 'norm_D': 1458}\n"
]
}
],
"source": [
"# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n",
"dynamics.single_compartment_react(duration=1.3,\n",
" initial_step=0.00005, variable_steps=True, explain_variable_steps=False)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "1c999a21-c1ab-4210-a8d8-430cc215d882",
"metadata": {},
"outputs": [
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"data": {
"text/plain": [
"True"
]
},
"execution_count": 19,
"metadata": {},
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],
"source": [
"# Verify that the reactions have reached equilibrium\n",
"dynamics.is_in_equilibrium(verbose=False)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "6991314e-58bf-473a-a0fa-c10f18369246",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.24856557905040474, 9.926581378605173)"
]
},
"execution_count": 20,
"metadata": {},
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}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=1.0)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "ceaf1c9e-9178-4511-af28-0b6918392300",
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['cyan', 'green', 'violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"[E] init = {E_init}\", xrange=[0, 0.4])"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "de531345-b12f-4c43-9954-bf46db6f1141",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.24856557905040474, 9.926581378605173)"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.4)"
]
},
{
"cell_type": "markdown",
"id": "41a77229-ad02-4e1e-8c3e-dfe2e6e0a302",
"metadata": {},
"source": [
"### Now, let's investigate E and ES* in the very early times"
]
},
{
"cell_type": "markdown",
"id": "738f8578-8cc9-4ed1-98f1-69291581ed24",
"metadata": {},
"source": [
"## Notice how even a tiny amount of enzyme (1/100 of the initial [S]) makes a very pronounced difference!"
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "2bdb3ca1",
"metadata": {},
"outputs": [
{
"data": {
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"config": {
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#The very early part of the reaction\n",
"dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"Detail when [E] init = {E_init}\", xrange=[0, 0.002])"
]
},
{
"cell_type": "markdown",
"id": "1f1fdafa-f516-4490-99c1-1649a0b4d783",
"metadata": {},
"source": [
"### Notice how, with this small initial concentration of [E], the timescale of [E] and [ES*] is vastly faster than that of [P] and [S]"
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "c5297f8f-2e7e-4acb-b029-6235388cbc4a",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_curves() WARNING: Excessive number of vertical lines (1477) - only showing 1 every 10 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
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"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The full reaction of E and ES*\n",
"dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"E and ES when [E] init = {E_init}\")"
]
},
{
"cell_type": "markdown",
"id": "a63d5742-334a-40c5-823e-27bc37cfb27d",
"metadata": {},
"source": [
"Notice how at every onset of instability in [E] or [ES*], the adaptive time steps shrink down"
]
},
{
"cell_type": "code",
"execution_count": 25,
"id": "954dccf3-30c0-4d82-a1c0-8b2860ad2d17",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" E | \n",
" ES* | \n",
" P | \n",
"
\n",
" \n",
" \n",
" \n",
" | 1476 | \n",
" 1.30085 | \n",
" 0.080546 | \n",
" 0.119454 | \n",
" 16.544949 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME E ES* P\n",
"1476 1.30085 0.080546 0.119454 16.544949"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.get_history(columns=['SYSTEM TIME', 'E', 'ES*', 'P'], tail=1) # Last point in the simulation"
]
},
{
"cell_type": "markdown",
"id": "71263cd2-4baf-44a3-b133-d7dcc1e0af94",
"metadata": {},
"source": [
"Interestingly, most of the inital [E] of 0.2 is now, at equilibrium, stored as [ES*]=0.119; the energy of the \"activation barrier\" from E + S to ES* might be unrealistically low (2000 Joules). Zooming in on the very earl part of the plot:"
]
},
{
"cell_type": "code",
"execution_count": 26,
"id": "ee6e7870-8dad-4ff4-997d-286db0d3a8d6",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"16.54494887428722"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_equil = dynamics.get_chem_conc(\"P\")\n",
"P_equil"
]
},
{
"cell_type": "code",
"execution_count": 27,
"id": "b6e26868-1b81-49c9-af7c-836b881121c1",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"11.581464212001052"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_70_threshold = P_equil * 0.70\n",
"P_70_threshold"
]
},
{
"cell_type": "code",
"execution_count": 28,
"id": "ac6a3e1e-3fa1-4bfd-8524-11116731c5cd",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.31446597160581014"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.reach_threshold(chem=\"P\", threshold=P_70_threshold)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "e80645d6-eb5b-4c78-8b46-ae126d2cb2cf",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "b74e6177-a59f-4e10-ad5b-945e7f8e63d9",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "6d946522-d437-49af-9fe1-0ddc4f2fcbaa",
"metadata": {
"tags": []
},
"source": [
"# 3. Repeat last step with increasingly-larger initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 29,
"id": "7f1bdff5-4816-4b34-af29-81013e431696",
"metadata": {},
"outputs": [],
"source": [
"E_init = 0.4"
]
},
{
"cell_type": "code",
"execution_count": 30,
"id": "9669e103-0a48-42d6-ace4-cc6ca19fd313",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"4 species:\n",
" Species 0 (S). Conc: 20.0\n",
" Species 1 (P). Conc: 0.0\n",
" Species 2 (E). Conc: 0.4\n",
" Species 3 (ES*). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'S', 'E', 'ES*', 'P'}\n"
]
}
],
"source": [
"dynamics = UniformCompartment(chem_data=chem_data, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n",
"\n",
"dynamics.set_conc(conc={\"S\": 20., \"E\": E_init},\n",
" snapshot=True) \n",
"dynamics.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "f5140de7-0838-442a-909f-695715fb0918",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1211 total step(s) taken\n",
"Number of step re-do's because of negative concentrations: 0\n",
"Number of step re-do's because of elective soft aborts: 1\n",
"Norm usage: {'norm_A': 1195, 'norm_B': 1204, 'norm_C': 1195, 'norm_D': 1195}\n"
]
}
],
"source": [
"# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n",
"dynamics.single_compartment_react(duration=1.0,\n",
" initial_step=0.00005, variable_steps=True, explain_variable_steps=False)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"id": "d6c74db1-b3a2-41d2-8785-04e75ab69870",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Verify that the reactions have reached equilibrium\n",
"dynamics.is_in_equilibrium(verbose=False)"
]
},
{
"cell_type": "code",
"execution_count": 33,
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"text": [
"plot_curves() WARNING: Excessive number of vertical lines (1212) - only showing 1 every 9 lines\n"
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['cyan', 'green', 'violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"[E] init = {E_init}\")"
]
},
{
"cell_type": "code",
"execution_count": 34,
"id": "0d428e60-9735-4008-b909-59884bac38b0",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.1480911200305407, 9.85341706705381)"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.4)"
]
},
{
"cell_type": "markdown",
"id": "022c06df-44ad-4b15-b329-143cb68c6c02",
"metadata": {},
"source": [
"Notice how the timescale of [S] and [P] is becoming faster with a higher initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 35,
"id": "54c21fc6-42ee-4dd2-9f50-b84a793adca5",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
"x": [
0,
5e-05,
5.25e-05,
5.3750000000000005e-05,
5.500000000000001e-05,
5.625000000000001e-05,
5.7500000000000015e-05,
5.875000000000002e-05,
6.0012500000000015e-05,
6.128762500000002e-05,
6.257550125000002e-05,
6.387625626250003e-05,
6.519001882512503e-05,
6.651691901337628e-05,
6.785708820351003e-05,
6.921065908554513e-05,
7.057776567640058e-05,
7.195854333316458e-05,
7.335312876649623e-05,
7.47616600541612e-05,
7.618427665470281e-05,
7.762111942124983e-05,
7.907233061546233e-05,
8.053805392161695e-05,
8.201843446083311e-05,
8.351361880544144e-05,
8.502375499349585e-05,
8.654899254343081e-05,
8.808948246886511e-05,
8.964537729355377e-05,
9.121683106648931e-05,
9.28039993771542e-05,
9.440703937092574e-05,
9.6026109764635e-05,
9.766137086228134e-05,
9.931298457090415e-05,
0.00010098111441661319,
0.00010266592556077933,
0.00010436758481638712,
0.00010608626066455099,
0.0001078221232711965,
0.00010957534450390847,
0.00011134609794894755,
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#The very early part of the reaction\n",
"dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"Detail when [E] init = {E_init}\", xrange=[0, 0.002])"
]
},
{
"cell_type": "code",
"execution_count": 36,
"id": "7f6cab84-d18e-48f6-bc27-f7eef1cae9f1",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_curves() WARNING: Excessive number of vertical lines (1212) - only showing 1 every 9 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
"x": [
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5.500000000000001e-05,
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The full reaction of E and ES*\n",
"dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"E and ES when [E] init = {E_init}\")"
]
},
{
"cell_type": "code",
"execution_count": 37,
"id": "71a8ff12-53d3-4908-8d50-39305b852388",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" E | \n",
" ES* | \n",
" P | \n",
"
\n",
" \n",
" \n",
" \n",
" | 1211 | \n",
" 1.00161 | \n",
" 0.161931 | \n",
" 0.238069 | \n",
" 16.466878 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME E ES* P\n",
"1211 1.00161 0.161931 0.238069 16.466878"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.get_history(columns=['SYSTEM TIME', 'E', 'ES*', 'P'], tail=1) # Last point in the simulation"
]
},
{
"cell_type": "code",
"execution_count": 38,
"id": "e4fd52be-db88-4b57-94a3-217cce0386c0",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"16.466877520220297"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_equil = dynamics.get_chem_conc(\"P\")\n",
"P_equil"
]
},
{
"cell_type": "markdown",
"id": "b0d8f75f-55a3-4712-ba46-9eb97833138c",
"metadata": {},
"source": [
"#### P_equil continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 39,
"id": "717d906a-659d-4635-9914-3b7eebf2f4df",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"11.526814264154208"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_70_threshold = P_equil * 0.70\n",
"P_70_threshold"
]
},
{
"cell_type": "code",
"execution_count": 40,
"id": "cc46e532-b71f-4697-97bc-e0cad1328a1e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.18680188203718445"
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.reach_threshold(chem=\"P\", threshold=P_70_threshold)"
]
},
{
"cell_type": "markdown",
"id": "887bf402-e6e3-461f-88dc-cf87bbdf40a8",
"metadata": {},
"source": [
"#### The time at which the 70% threshold of the equilibrium value of P continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "8a318f52-7710-43df-b9ac-86c8ab690d60",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "6201afdd-cbdf-47f0-9289-ea290386c660",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "802b910e-0fa0-463b-a220-873c5882a33f",
"metadata": {
"tags": []
},
"source": [
"# 4. Keep increasing the initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 41,
"id": "31bbf923-046d-4da3-9c33-c8f57ef3814c",
"metadata": {},
"outputs": [],
"source": [
"E_init = 1.0"
]
},
{
"cell_type": "code",
"execution_count": 42,
"id": "631bd026-58da-4295-9f05-d132577cb0cc",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"4 species:\n",
" Species 0 (S). Conc: 20.0\n",
" Species 1 (P). Conc: 0.0\n",
" Species 2 (E). Conc: 1.0\n",
" Species 3 (ES*). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'S', 'E', 'ES*', 'P'}\n"
]
}
],
"source": [
"dynamics = UniformCompartment(chem_data=chem_data, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n",
"\n",
"dynamics.set_conc(conc={\"S\": 20., \"E\": E_init}, snapshot=True) \n",
"dynamics.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 43,
"id": "ba3e8cca-873f-40dc-97b5-38374fcc826c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"866 total step(s) taken\n",
"Number of step re-do's because of negative concentrations: 0\n",
"Number of step re-do's because of elective soft aborts: 1\n",
"Norm usage: {'norm_A': 844, 'norm_B': 849, 'norm_C': 844, 'norm_D': 844}\n"
]
}
],
"source": [
"# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n",
"dynamics.single_compartment_react(duration=0.4,\n",
" initial_step=0.00005, variable_steps=True, explain_variable_steps=False)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"id": "c2b19731-38b2-4d09-bca2-3b666c633eee",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Verify that the reactions have reached equilibrium\n",
"dynamics.is_in_equilibrium(verbose=False)"
]
},
{
"cell_type": "code",
"execution_count": 45,
"id": "522e8f39-c7b3-4edf-80f3-3cf25c440e1e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_curves() WARNING: Excessive number of vertical lines (867) - only showing 1 every 6 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=S
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "S",
"line": {
"color": "cyan",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "S",
"showlegend": true,
"type": "scattergl",
"x": [
0,
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['cyan', 'green', 'violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"[E] init = {E_init}\")"
]
},
{
"cell_type": "code",
"execution_count": 46,
"id": "93a7b3b5-ffff-4417-b768-bf9886e9ef7e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.06628340509848926, 9.635470546269993)"
]
},
"execution_count": 46,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.4)"
]
},
{
"cell_type": "markdown",
"id": "46e10d97-2c62-4e6d-9429-cc769a47e596",
"metadata": {},
"source": [
"The timescale of [S] and [P] continues to become faster with a higher initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 47,
"id": "fb00b2fc-2bc2-433f-b907-019e786f68a1",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
"x": [
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fg6NaT+K3EtD352gR4wfXI+SCAAQgAAEIQAACEIBA7RNA/I7ow5BVPCpQ6le2Eb8jwJI0iMBIid9BwY1wor/62o1yw01rh/3r71qvb2tk3/u1uhq31lff5r1Par1tiN8jfKEZxdVX8/4wnM8zQxG/R2P32A9ma/XD0NHIlJggAAEIQAACEIAABCAQSwDxO5BYrKDlTha1ChXm7OFbM2TZqPjpYsq0ddkV1/ZvXYGkdgD+RMz3S9b0aZM1ayfgYguxMvEn5oNpS1ZXpcXkx+5bU/g+nO6Ee+Ovn058RO2R5dnps9X0/srjonqtaKv5fueP/y7xCLWHW1ZaG9367OrPS849PfFL1UO9c3VFcpoth78SLa0tWob2bZ7wUdS+WK72Aya3r4tWc6flsW1P2vCG/75bpj8+XIHix/f8vNT/g7FRiRGKXD4vvfJa6TrhCuc2trz3XNb4SHtvpvGwvKo1DmLf7/Z9kddnadeDPPaxbXPfm7p/g8/f5+iOOTdtSP9lXdv0df895r53097bfhz++8N/78f2zWDvAdoWvw/8WO2HE9cYr2d7HdN8WStni9rm9qG1IcoaI/4HI7Gx+H2YVk/o9T5vPOi5tGcGZamH+y2UkGt/1jXSvQbFjhEt0x8nWR8G+um0HaFe2Wme3/43IWLvQWnjNO0+EHONqqdvZxSNTc5DAAIQgAAEIAABCEBgNBJA/A7sFStghG5e5Aoj7sQpbRWQTs7UMsWdtNoJm5s3pkwrmviiQZolg40pLU63vWkWD6Ff6c0SvzXOIj55XZRWv05K9dAVuWkc817TfG6b88QTfzKvbJefdFyySVfaV97T6nUn0L7Y7W9elreyz4ocaSKRnksT5dME8LTN5tJEnGpwtSKIK9imjbm08ZDWT5ou7X2b95rf/4GXh7JkoTFrJlfEShNY0t6vad9AUXZvN5s6uhvEpfHMuo5pzH/3Z7+T+JRnrY4eyjiIuXZltU8/tCv6oK3I/iambe570x+T9kMq/3X//RPaf2njLO0D17T3XZ6wlmY35Y/Por6p1D3Av1antc/G616b8sRq5ebeN/22pa0itv2a9gGZ+x6MiSWv/9wyY673WdeevPewzyPk2p82pvw6isZI2ofN/gcbaffqtGtlzLNWjPgdc29PG3/u/T72GlXNVfmDuUeRBwIQgAAEIAABCEAAAmONAOJ3YI/bSWvoV1eLVsuGWCLohEkPtVHRI6bMtEmhlpEmvmeJJ1rGhkefTMSFvLrTrB98rHkrv33biNBVUlltdOvOmnT6YmnWV63T2h0ykc0S2Xx7jiLR1h1vReJ3yJiybNJsQmKEwWpwzer3kPGVxTGrTf7YGepX093VvaEfkGlf5H3Fv8i7+s2nnJC7AanN746hkPdWNcZBzLUr773jXyv860yR/U1M27LGVNZ1x399qP2XNybd90Te+0a/ceR/8GX7wo7TvL5x3+dDuQfksXDbktU//vUmi01ajD4fe191N0RNe6+ExpL1CFG08tvdEDfm+pPV3yH3JY019B6k8f/iV48nH6jFvH+z3h8+46z311BtT/JWfrsfDsbc2/0P1WKvUUXXpcDHUJJBAAIQgAAEIAABCEAAAoMkgPgdCG44xO+0r+UXrU6z4fsTvqzJmT/JLhIlXB9lu7o4Rtyz8VVD/M5qo9ulWUKB3+4Y8btIQMwTCvxJ9HCJ32nWIMrJFcZihMFqcLXjfzBWIzH2BmkfAsWIT0WXjJgNL0Pef2m2L/4HY26b/Pjs+zVUVKrGOIgRz+yK9ZgPc2yb3Q/s0voppm1Z783Q17PSaVxp/efH634rIM/6ZzBiqOax77MiUdsV0Ad7D3BXDud9gBwqOOd98OmXkfYhrrWZuvT8M5JvCGlfrb3r4SNWkad9EyZUZK6G+J33Hs6Kq+ja735wl/XNipj3b9F7zF6PsuINvU7p+yVm5bf/3BLyQYl9T/rCfew1CvG76K7JeQhAAAIQgAAEIAABCFSXAOJ3IF87eQkVfmMmi7Zs34ZiKIJxliDii3xpfrQ+Eld4SfMQLfJktmKPa+MRwyeri4YiQvtf9Q4Vv/Pi9ifKeUPLCkDVFr9dAc0VNtLqLRItQsSywXK1rNI+AAr5tkVae/JEFP+r9ZUUv7UtIR/MaLq8GLNEK8vK/WDMvi9dVn7ZoW2sxjiIfb+n+UqHXHtHk/gd039Z1wr3/ZvW7/pa1nUw7b3k1mM/XIgRv219efeIrLa4Aribpsg6Ju3+kSdA+1Ya7geOP/rZOnlk89bk21Su4K3lzZ7RUfZNilAhvqi9abYn/j0z9L2Zl85nEnPtT3sOCLGeSRt/ac8ILiPLI4vvSInfWePTjd29BsVcoxC/Ax+0SQYBCEAAAhCAAAQgAIEqEUD8DgSb5k+alzVG7AmdZMeUGSp+p33dOxBJSbjL2ujNLWcoQn5WPCECYzVWKIeK7iFiXbXF76wVkkMRv/MEt6GsqPf72RUjiryeR9PKb21Hmpdt2jgOWfld1PYsQSy0L/y4QsXvmHEQc+1K42QFtaIP2opEppi2ha7wtvH66YtiCb3Ouulsme6q+LyV35rX2mZl1ZfXN0XWUnaMhdwD/PrtuHVF1tB7YczKb9fm5Q6zv8apSxeV7QehY0o3NPWv16GxxHCNud6nlRsjfsdc+/26bN6QDzzTvnVWZMlkr5FpK+tHSvy217PBfPPI5tWfadeoalwLBnP9IA8EIAABCEAAAhCAAATGKgHE74ietyt98lai6qTxf33241EemaFfW48RkLJWxsV4frtodEKqK7ddz0w9XySO2DKqIX7n1W19ZKvhTZ1VpuuRGiLMK5sYMSRvVWvoGLL9kVZvlhVDjDeqX27Minpdlel7OudZR7jjMytdVj9UwvM76z1hhZC0zUf9y02e0BMqAmW1PS1/3odip73pxGTDy2qMg5hrl72GuqxiV8ZmieQxbRuq+B3af1m3IK3/8gtXJn3iHv6Y1r/TxMbQ905e37h1DeUeoP2nQuclZlNW9/CvpaGCc4znt9Zny3V9vvNed8/5Hx6MpO1JXl/5cYXe+9Leb/YaFvLtAP+aEvpMUOQNHvLhcaVtT0L7NvYaFVpuxOMoSSEAAQhAAAIQgAAEIACBCAKI3xGw7IRYRWB/YuavYosRe6yo7q7wtK8N1vPbt5/Q2LN8V23s/oonTf87f/x3iQ+qLc/34dWJb4jIVw3x27bHr9/1s02LO41NqEirHNPKdFcX6gcEWbysqGD7Okb8zhMAiza9cz+wsXVqLK5ImBVL2liuNNesvgxdQV3E0R3bvuWJcggVV93LRVYfW7uJolXK7ljKEnqy/MM13o2/fjr5oC1vPGsdbtlp9k2hPvRDGQcx10Mdy/5K4rRrZNqlu8iWKGaMD1X81vhC+i/rFpTWV2l9XbQKWu9X/rcHNM/yk44r28zQv7bbcu04Hso9IO0ek/ZtqlDx270X+7Ypek7vWe5h2+LfKyzjtJXrMbGEjsWi61SIxZPfL+44c9th6yq69qeNUf8aGfP+tfe4NKb6Pr7G3B/1Q5C0/nefUUZC/M66D9nx9nd/9jvJh1Gx16iib4tFPoaSHAIQgAAEIAABCEAAAhCIJID4HQlMk2f5ZLuTzNjJou8fqWV9wwhcQ/HJ9v1idTKqE88vfvXfj/hqbpbfZZpo6CIL3ZSuGuK3jcP3tk2Lyfch9SfWMeK3rdcvM+3r0mn+p258sWKI7yNsham8ybUrdmvsGqce7kZ2tk3+OFRhqWgsu+NhKFzT/I1DPljR+vNWuaaNbV9kGoz4rfWGeDLnXWJCVgeHXG/8OJSbvtd//0++esQHdWkx+zwqPQ6KxpD7nkjrrxhbjaJVlqFtq4T4HXq/yBojab7haaKgew30WWV5j1vR2PLWfHq/cQ9fNE8bi6H3AP86ZK9F7rc9YgVnv21Z14u0D7y0/jQB1r2vjLYNL21sfrt1TKili/u84F4Xbb6sa3+af/VQnme0vrQy/bHpv9f1vLYl7bqV9h6p9MrvrGcKfT3NA92NKesaNdh7S959g3MQgAAEIAABCEAAAhCAQBwBxO84XjWfGu/Jmu9CGgABCOQQCPlAAYCHCRStlocVBCAweAKh344bfA3khAAEIAABCEAAAhCAAASKCCB+FxGq4fM66XJX7iFy1HBnEjoEIBBMIM0aIjjzGEvIfWGMdTjNHTYCXIeGDTUVQQACEIAABCAAAQhAIJcA4ncdD5A0y40QH806RkLTIACBMULAXv9CfJTHCJLUZiJ+j+Xep+3VImCtiHjmqhZhyoUABCAAAQhAAAIQgEA4AcTvcFakhAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgRohgPhdIx1FmBCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIBBOAPE7nBUpIQABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAoEYIIH7XSEcRJgQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCIQTQPwOZ0VKCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQqBECiN810lGECQEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAuEEEL/DWZESAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEaoQA4neNdBRhQgACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAQDgBxO9wVqSEAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIACBGiGA+F0jHUWYEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgEE4A8TucFSkhAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCECgRgggftdIRxEmBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIhBNA/A5nRUoIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCoEQKI3zXSUYQJAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAAC4QQQv8NZkRICEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAARqhADid410FGFCAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIBAOAHE73BWpIQABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAIEaIYD4XSMdRZgQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAQTgDxO5wVKSEAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQKBGCCB+10hHESYEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQiEE0D8DmdFSghAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEKgRAojfNdJRhAkBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAALhBBC/w1mREgIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABGqEAOJ3jXQUYUIAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEA4AcTvcFakhAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgRohgPhdgY7a8erBCpRCERCAAARqh0DH5DbZf7BbDnX31U7QRAoBCECgAgTmdIwXnv0qAJIiIACBmiLQ1tIo7eNb5NW9h2oqboKFAAQgUAkC+vzHUbsEEL8r0HdMgCoAkSIgAIGaIoD4XVPdRbAQgEAFCSB+VxAmRUEAAjVDAPG7ZrqKQCEAgSoQQPyuAtRhLBLxuwKwEb8rAJEiIACBmiKA+F1T3UWwEIBABQkgflcQJkVBAAI1QwDxu2a6ikAhAIEqEED8rgLUYSwS8XuIsO+55x454ZQzhljK4LL/8uH7k4yPbdkoPT09Mn78hOTvzoOvS7/5mfX3vn17pKWlRcaNO5y+p6dbJk6aIo0NDdJg/uvu7pLOTmPnYgoaP2GCNDQ2SWtra3Jej77+funv65NG83p3T5d5vbGsES0mbV9vnzSbehobNc9AvqamJjnU2Wny98nB1w/Ivr17ZNLkKaaOidLePkl6TZ6mpkX06JIAACAASURBVEY5cOCAvLZrp0wyMbVPmizjxo837Too+/ftFY1//oLjpam5SXp7emX7M09Jx7SZcvTUDpO/R3Y8t93E2iZz5y00XLpl6xNbZM7c+TLl6Kmy57Vd8uorL8uixUvNuS7Z9MjPZdmpp0tzc6tJt1lmm3RazpZNG5Lfp8+YKevX3SsnnrRMJrZPlnX33Skrz7pADuzfm9Rz8vIVsvXxLUkbZs85Ru752e1y8eVXypOPPSqtbeOS1x40ec6/+ArZuGG9TJs+IylHz595zkVyx23fkUtM+l88/ICJcV7CSOM7YckpSV3vWLVabvzm38vqqz8mt91yo5x74WVJ2sVLlsoLO56TqR3Tk1i0vXp0dR1KytfX0n52m/N6tJj0mkbzazkLjl2UxLTijLfJPT/9kbxn9Rr5x6/8pXzkuk8l9WscGo/GtcvEp8dsE6/GcsWVq0tpf/i9G+W0M86UV3a+nJS/dPlpSdwav39OOdo6lJuy6pg+s1T/T370vaS+tra2Uj32NeVt47R5F5s+suVpv2r9Woett92MJRuLe96WufC4E+Qb//i38v6rr03GmC3/iV9vShgpe2WgXHXMuPm+e+MNcu5Fl5txOKPES2O05bWaNtjYlJ37u5vGsta8bpluXfZ9r3217eknk37TMafvJds+rcMty437hee3l3hqOrd+t2y/PDcGHaP337VWrvrAmsT2xO2DrkOH5N+/eb1c85HfTcaJW6Yfl5ZjOaeltX2n70Wfm5/XZaFp3T5OK9tlouf9v/24/fJ8jj4vv636t8tJ/3bHVtJAb2yk5fHbrWl8Tn5smsbtP/3b76esePx8ms4dM/p3Wkx+f6T1SVq/xLyWxi+t7Wlt1Xrc95jl7/d7VvvSuOtrae3Oqist1rQ+t7H53PNi88erLcMf5/b1tH5OGzdF6bPKz4oni0HaOLN1++8j+3peWf57JCRPFhPN617DbVn6My+GtLFV1Ka8Pig6l8Up6z1mY8kaw/Z8VtuL4sljk/V+snWmXWNc7nlss95/bv68NqVd2928Qz2fN55sPVnj154van9RjEV9p+dDyiiKI6QvQniExFI0ZkLblHctcsdB3vXCpku7Z7ll2N/TrvV+uqxrqp8u7T7np8m6R/rp9D28Yf0D8sGrr8m1PQltZ2i6omuHjTO0HUXXG7fdRddDN20Ia00fMjZtuaH9rOnzrvl+X4aMV5snptyYeGM4xPSZpg0dM4Npo+Zx51hp72H3tZhxqfli04dcM/0Yi+4pg73euPny7qtpzEKvB27emHFs88X0XVoexO+iET+6zyN+B/bPpl8/Las//nm58WuflWUnHVfKhfiN+I34jfiN+D3w4YV+AIH4/bHS/cF/wEL8PvyhlIWUJpaEvob4nT2JRvwuf7hD/C7nkSdSFok9iN/lLIuE2KLzIcJFkVBRJDqHxFAkIoSUURSHtjVEICwSTUJiCRHWQsrRmEPE6CJ+Wk6ouBNSX6jIGMI7VGxD/M4XDUJYawkhY9PWFNrPmj5GpA4ZrzaGmHJj4o3hoLEUXQfd3kH8zh+rMSy1pJh+tTUXXcf9CEOvj26+mHFs8yF+B4qfdZoM8TugY89e9UnZtXtfkhLxm5XfrPxm5Tcrv1n5zcrva823Wwa+ccLK74FvJujByu/D345xH69Y+X3kt2BcPnniQt7kLu8cK78PEy4SpVj5feS3g/zpUYhQjPh9iui3CLOOUHEH8bucYKiQGSria+mh4l/Rh4FupEXXGZs2RvSNER1jROoY0TCm3Jh4YzjE9JmmDR0ztk9i2pjoQW98K1q/qVt0xIxLLSs2veaJFZpDx79tW0y/2jyxMYVeH13eMePY5ovpu7Q8rPwuGvGj+zzid2D/ZK381ux4fgdCJBkEIFA3BPD8rpuupCEQgEAkATy/I4GRHAIQqAsCeH7XRTfSCAhAYJAEEL8HCW6UZEP8DuwIxO9AUCSDAATGBAHE7zHRzTQSAhBIIYD4zbCAAATGIgHE77HY67QZAhCwBEaz+P3uNZ+RjqmT5V++9Oma67A8rbWSjUH8DqSZ1SF7vrxHZKXZ1HFpS2BJJIMABCBQ+wTGtzVLl9lwtrdXt9flgAAEIDB2CEya0CL7Xu8eOw2mpRCAAAQMgaamBmltbpKDh3rgAQEIQGDMEdDnv5E6/ssffFEe+uWvy6qfetQkufeWLyevjYT4fcva++QzX/gn+fM/+rCsuvSsQaNB/B40uupkzOqQtZ9fK29teKvIlAZp/K3WYRXBH3zg3qSxmzY+Ir09PTJ+woTk74OvHzT/78/8e++ePdLS0lJ2vru7WyZPniwNjQ3S0NAg3V3dcvDg60l5EyZMlMbGRmltbUvO69Hf3y99fX3S1Gg2vOzuMq83loFvbW2Vvt6+pB49Z4pMjsamJjnUedCc65cDr+8XjWXylCkycWK7TJo0KcnT0NQor+8/IK+8slOmmHOTTFzjx09I4tm3d6/sMXmOPf54aW5qlh7T7t88/ZTMmDFTpk6blnDYvn2bjGsbJ/MWLEzOP7Zls8ybP1+Ontohr+16VV5++SU5+WSzMZ+J+5c/f1hWnH6GtJo4t2x5VObNWyAdppxHNvwi+X3WrNly3733yNJly2XypMly910/lfPOv0j27tsrz21/Rt705tOS8rUNx8ybL3fc/kN516r/KFs2b5Q2E4O+dvedP5XL3vFO+cX6h2X6zJlJOVs2b5LzLrxEvv/db8u7rvwPsu7+++QYE6MeOzW+pctNXT+R977vP8s//cNX5cMf/YTcfNP/kbdfdkWS9uRTlslzz26X6dNnJLG0veG9e+jQoaR8fS3t56GuQ0kdbaYvNY3m13KOX7Q4iXnlmWfLj00b/vM1vy1f+qv/KX/wh/8jqV/j0Hg0rp07X0rK0LZpLFet/k+ltN++8V9l5dvOkp0vvZSUv2LFW5K4NX7/nHK0dSg3LW+66Udb/623/N+kvrZxbaV67GvK26azeZeesrxUnvar1q912HqnTD6qFIt73pa56ITF8tW/+5J8+GP/NRljtvzNj25MGCl77X/lqmPGzfd/vvHPcok5r+PQ8tIYbXk6FmxblZ37u5vGzeuW6dZl3/e/Zfpq65NPJP2mY07fS5a11uGW5cb97LPPlHhqOrd+t2y/PDcGfQ/9ZO1tcvWHfjsRv90+OHSoU/7p7/8/+cTv/EEyTtwy/bi0HMs5La3tO30v+tz8vC4LTev2cVrZLhM97//tx+2X53P0eflt1b9dTvq3O7aSBnpjIy2P325N43PyY9M0bv/p334/ZcXj59N07pjRv9Ni8vsjrU/S+iXmtTR+aW1Pa6vW477HLH+/37Pal8ZdX0trd1ZdabGm9bmNzeeeF5s/Xm0Z/ji3r6f1c9q4KUqfVX5WPFkM0saZrdt/H9nX88ry3yMhebKYaF73Gm7L0p95MaSNraI25fVB0bksTlnvMRtL1hi257PaXhRPHpus95OtM+0a43LPY5v1/nPz57Up7dru5h3q+bzxZOvJGr/2fFH7i2Is6js9H1JGURwhfRHCIySWojET2qa8a5E7DvKuFzZd2j3LLcP+nnat99NlXVP9dGn3OT9N1j3ST5e8hx+4T66++ppc8Tu0naHpiq4dNs7QdhRdb9x2F10P3bQhrDV9yNi05Yb2s6bPu+b7fRkyXm2emHJj4o3hENNnmjZ0zAymjZrHnWOlvYfd12LGpeaLTR9yzfRjLLqnDPZ64+bLu6+mMQu9Hrh5Y8axzRfTd2l5Rkr8XnreGnGFbhubCuIzpx0tf/E/Pjoi4nfR+A89j/gdSmqY0mV1yM9u+pm8+cXTpGHvwOrH3rmN0vuWZumdUy4GVyNMu7HMY1s2JiKvCsR6dBqRWKPJ+nvfvgHxe9y4w+l7erpl4qQp0mhU6kT8NsJwpxGptSAV1RuMyK2Ctp7Xo8+I3/1G/G5U8buny7xe3t6WN8TvZlNPYyKYD+RrSsTvTpO/z4j0B4yYvceI21NMHROlvX2SEdKMoG7E7wMHDhiheqcRxKdIuxEbx40fb9p1UPYbQVPjn7/geGkyKw96zcrT7c88ZQTrmYm43dvbIzue254I9XPnqfjdLVuf2CJz5s6XKUdPlT2v7Uo2Z1u0eKk515XsXqybFzY3t5p0m2W2SaflbNm0Ifldxdj16+6VE09aJhPbJ8u6++4UNrxkw0s2vGTDSza8ZMPLtA2D2PCSDS9/8fADcsWVq4947MvbDJANL/M3oCvaGK1oo8WijejY8JINL/PmaSEbUIZsvBa6oVtIfaEb0BWNfW136AZ7+tyzYf0D8kEjfr+6d2AxTdoR2s7QdKGbF4a2Q2MO3fCPDS9FYjaDDB2X2gdF13V/bIX2meYLHTO2jpg2ap6YTRNjxmXM+9HlE7u5ZAxLrSemX21csTGFXg/cdodcd/1xFNN3Nq+bZyRsT1TgfvLp50orvLOuvXblt563K8SzBHN3BfmNX/usLDvpuKTYs1d9Us46Y5nc9/Am2bV7X/LatR98l8ybOyNZ4V1i8kaeNI3UX6Gu+T/52++RtJXrm+++ISkS8TurV0fo9awOueeee+SEU86Qpsd6pOXnvWUieM9bmqRvTlPVIkb8Rvye2jFdDuzfm4j9yQ3TrOxWkV5fS/vZ/cbK7xaTXtNo/hd2PCcLjl0kTz72qKw4421yz09/JO9Zvaa0c7S94Kvwf8KSU2SX+fBAj9lz54md5NsbnL2ZvrLz5aT8pctPk9tuuVFWX/2x0oOmPacfIth89qGjY/rMUv32hqar2m099jX9wMTG6T6w2PLcm7SNqd18kGJjcc+7N0474dAPWGz57s1YGShXxG/Eb8RvxG/E71Nk4XEnlD3juNdI90TWxClvgpolAGVNUvPKypro5eXJm1RlTeryykP83l66l6c9GOdNxotEEsTv+xOk+gyXduhCE/v8kzUpKRIRQsoo6getO0SMLRJNQmIpGjMaS0g5mi5EjC7ip+WEijsh9YWKUSG8Q8U5xO/8KX0Iay0hZGzamkL7WdPHCLgh49XGEFNuTLwxHDSWGMEW8Tt/rMaw1JJi+tXWXHQd9yMMvT66+WLGsc1Xi+K3rvp+1yVnJqu78w4Vv7duez4Rq1Vs1kPF7BOOO6bkA64C9Ku79sr3b/jz5PyX//m7cv23bhUrQmt6Fb2tIG7P+/YqmlfL8DVSX6jX83/9j99O6tdzv/+Rq0pCu8abVU7+CB78WTy/A9jZQWCT+p+g7HhVbUYGjpEQwQOaQBIIQAACFSXAhpcVxUlhEIBADRFgw8sa6ixChQAEKkaADS8rhpKCIACBGiQw3Cu/rbgc4qmd5vn93//nP8iWJ55JFaotftU63/vO8xPB3K78tkJ72gJgLVNXhqvXuHtey1v98c8H+3+rsH7zD+46ohy7Cr0awwPxuwJUXfFbi2sw3wRr3tgjTeY//V0PtUOp9krwCjSFIiAAAQgEEUD8DsJEIghAoA4JIH7XYafSJAhAoJAA4nchIhJAAAJ1TKCWxW+7OWVa99jV4lnityu+Z4nWTz2zI7FGsavI0+rxFxVrGk2P7UkNvWl88duGjgheQ51IqBCAQBQBxO8oXCSGAATqiADidx11Jk2BAASCCSB+B6MiIQQgUIcEhlv8VoQxticdUyeXLE40r7vy24rfReK0en77K78rIX5rO9664qRSfK7lCuJ3jbxZrOd3XrjVEsHx/MbzG8/vNWUed3h+D/ir6+F6mrk+vL4Pnust6fp1+l6Yrq+a+vTdf9daueoDa+RQd19ZH/jekb4HqBuX7/fnp/U96Vz/OD+vvymR70/nl+17E/t/++n98vD8xvMbz288v/1nPzy/v5fsDeJ7wSunIg9WPL8/lTmVKPJnLfLaDvG2LvJODSmjKA5tYIgvcpFXbEgsIX7CIeVozCEe3EX8tJxQT9uQ+kI9eEN44/mdPYtnw8s4L/HQcanEQ96jbs8UXQfdtEX3G7/HY3zN/TlWkWQV+v6y5cSm13xF10w/xhiWmjemX21dsTGFXh/dtoRcd/2216Lnd9GGlypwq1gdanuSZ6EylJXfyjrL9iRNeEf8Lrp6jMLzIeK3DbvSIjjiN+I34jfit25UevHlVx6xcRPi98+TTVd1Y1U9EL/LRam0h+u0B8+0B0t/Yp42gUmbMKY9PKeJJaGvpcWbNuHJmkikiQJpdWdN0BC/Eb/9x1LEb8Rvf0yECKxFIkGRUFEkOofEUCQihJRRFIeyCRFji3iExBIirIWUozGHiNFF/LScUHEnpL5QMSqEd6jYxoaX+UJECGstIWRs2ppC+1nTxwi4IePVxhBTbky8MRw0lqLroNs7iN/5YzWGJeJ3+YKykVj5rX2gq6b9fQetoGw3wywSv7UcFdIf+uWvy6xJVDx/64qTZdWlZ2V6foes/Favbo1h1+69iY93Mnbe2PBSN7r0hXFtkx7YnuS/X0fV2Rjx2wZeKREc8RvxG/Eb8Rvxe+DGycrvM2X23PkJi7SHfn+ig/idLsIgfp9Q9oyVNUHOet3/BkXRBD5vgpolAGVNxPPKypro5eXJEweyxDnEb8Rvf5ISIrAWib1FQkWR6BwSQ5EYFlJGURzKJkQgLOIREkuIsBZSjsYcIkYX8dNyEL/L3x2hPEKFzFARX6Moek/ZSFn5HSeqI34fKVPFjEvNHZte8xRdM/2oQsd/0TNcnigXG1Po9cCtM+S668dYiyu/bRuscO22yRWlQ8RvzZtWjrVCGcrKb7tRpcaxddvzpTBtjCqy3/rjB0qvq8/49d+6FfE77400Gs9leX4XxVopEbyoHs5DAAIQqDQBPL8rTZTyIACBWiGA53et9BRxQgAClSSA53claVIWBCBQawRGauV3rXEarfE29JtjtAZXK3ENVvy27UsTwfvmNkn3Wxqlb05TrWAgTghAYAwRQPweQ51NUyEAgTICiN8MCAhAYCwSQPwei71OmyEAAUsA8bu2xwLidwX6b6jid54I3ju3UXrf0iy9cxorEClFQAACEKgMAcTvynCkFAhAoPYIIH7XXp8RMQQgMHQCiN9DZ0gJEIBA7RJA/K7dvtPIEb+H2H+D8fwuqjLUDgXPbzy/8fzG8xvP7zXJJRXPbzy/dRyw4eXAE0aW72aWJ3estzee338pH7nuU0c8zuH5jee3PyhCfKWLvFGL/FmLvLZDYijyTg0poygOZYPn93Ny7oWX5U4FQzzGQ72VQ3iHegyz4WX+DD6EtZYQ4kdvawrtZ00fszFl0fvdbWlMuTHxxnDQeIqug27MoT7xNk9MGzVPjG906PvLxhKbXvMV3UP8kRvDMu+ZMu8dERsTnt/51xfOVoYA4vcQOVZD/LYhFdmhIH4jfiN+I34jfq9JLpmI34jfOg4QvweeIBC/yx/u2PCynEeeSFm0wVvehDZPUCkSI/Im40UiSZHoWiRK5bWpSPQd6vkQ4aJIqChqf1GMGkORGBZSRlEcWk9RX4TwCImlaMxoPSHlaLoQMbqIn5YTKu6E1BcqMobwDhXbEL/zRYMQ1lpCyNi0NYX2s6aPEXBDxquNIabcmHhjOGgsRddBt3eK7jd+T8a0UfMifue/F0Ku434JoddHN1/MOLb5YvouLQ8rv4v7fjSnQPweYu9UU/y2oWWtBH+o/WHpn9Qgj23ZKD09PTJ+/IQkS+fB10WN3LP+3rdvj7S0tMi4cYfT9/R0y8RJU6SxoUEazH/d3V3S2XlQtKDxEyZIQ2OTtLa2Juf16DNW8f19fdJoXu/u6TKvl9uytJi0fb190mzqaWzUPAP5mpqa5FBnp8nfJwdfP5A8eE6aPMXUMVHa2ydJr8nT1NQoBw4ckNd27ZRJJqb2SZNl3Pjxpl0HZf++vaLxz19wvDQ1I34jfiN+I36vSa4tiN+I3zoOEL8HnhwQv8sf7hC/y3kgfpfzQPxG/M6bDoaI0SEiTKi4E1JfqMgYIsgifmf3ftGHgW7OENaaPkb0De1nLTdGwA0Zr7ZtMeXGxBvDQWNB/M4ep7GrrGNY5j1T5l03Y2MKvT66dcaMY5sP8Tuv1+r/HOJ3Bfq4Up7fRaGE2qEUlcN5CEAAAkMlgOf3UAmSHwIQqFUCeH7Xas8RNwQgMBQCeH4PhR55IQCBWifAyu/a7kHE7wr033CJ3zbUIjuUCjSJIiAAAQjkEkD8ZoBAAAJjlQDi91jtedoNgbFNAPF7bPc/rYfAWCeA+F3bIwDxuwL9N9zid54I3t8m0ru8WXrMf/o7BwQgAIFqEED8rgZVyoQABGqBAOJ3LfQSMUIAApUmgPhdaaKUBwEI1BIBxO9a6q0jY0X8HmL/DYfnd1aIpQ0vNxvP764emdA/XqSnXw6af2qxPb5tgvS3GA/w7oNlHuB4fr8sixYvNT7pXYkv6rJTT5fm5lbZ+sRmmT13vhw9tUO2bNqQ/D59xkxZv+5eOfGkZTKxfbKsu+9OWXnWBXJg/17Z8dx2OXn5Ctn6+JbEt3z2nGMSv7WLL79S1Ie5tW1c8tqDJs/5F18hGzesl2nTZyTl6Pkzz7lI7rjtO3KJSf+Lhx+QOXPnJV2tHmgnLDklqesdq1Ynm2qsvvpjctstNyY7xGvaxUuWygs7nhM8v/H8xvN7TfK+wfMbz28dB3h+Dzwx4Pld/uSE53c5Dzy/y3ng+Y3nd950MMSDO8R7NtTTNqS+UG/lEB9qPL+zex/P7zgv8dBxaee79/z0R/Ke1QPP8UVHjE81G17m04xhmfdMmVcLnt9FI5rzI0EA8XuI1EeF+O1ueGnE784DRvzu65cJDUb8NhtTHmzqlP4mI4ZPHNjgEvEb8bultS0R8FU8VxF9wbGLEkF+xRlvE/sgYm9admMIFeNVlN9lxHk9ZhuxXoX4K65cLTatvZm+svPlpPyly09LRHsV7/1z+iGCzWc3U+mYPrNUv51ItLW1leqxr+mHDTZOdyMWW5778GXrbTebp9pY3PPuhMVOOPQ9Yst3JyvKQD+80A9M3Hzu5MLdSMOdwLgPAe7vbho3r1umW5crWrgP5bp5rG2f9o9blhu3/0Do1u+W7ZfnxqAf0Nx/11q56gNr5FB3X9kmO/4kyhdZ3Lj8zW78tP7DmcvNz4v4jfit4x7xe+ChBvG7/OEO8bucB+J3OQ/Eb8TvvOlgiBiN+H2YYKjIH5ouVMgMFfE10lDxD/Eb8Tvt2hCzaWLMuNS6YtNrnlihOXT827bHfKhh88TGFHo9cPsj5Lrr919M39m8bh5Wfr8xz/j107L6459PvXVe+8F3ySd/+z15t9URO4f4PUT0o078Nu3pPPi6Eb3FiN9mJXiXEb/7jBhujvGNRvw2Vih7u/ZKS2uLjBs3IIZr+p6ebploxMHGhgZpMP91d3dJZ6fJZ8oZP2GCNDQ2SWtra3Jejz5TQX9fnzSa17vNCurGhsYyki0mbV9vnzS3tJg0mmcgX1NTkxzq7DT5++Tg6wdEBTYVMsdPmCjt7ZOk1+RpamqUAwcOyGu7dsokE1P7pMkybvx4E+dB2b9vbyLez19wvDQ1N0lvT69sf+Yp6Zg2M1mx3dvbk6zIbjXi7tx5C5N2bX1ii1lVPV+mHD1V9ry2K1lZzcpvxG8V51WAR/z+W3n/1deabyq0CeL3wAcbevjikP/g50/G/A8LtAz/Acv9oEbPpz3o+Q+Lfh5f9Ndy/IfYtImi/4CY9nCdFk/ag6UvBKTFlDZhTHt4ThPhQl9Lixfx+42HUvOtJnuNc2/O7gdh7utZE4jY17PKz5o45YkaWYKT/56w7cgrC/G7/GEX8bucB+I34nfedBDxe4COXmM3rH9APnj1NfLq3kOZyEJFrNB0iN8D85WiI+vemJYvRjSMKTdGJE17dsxrY4xgGzpmbH0xbUx7vs+LO1bMjk2vdccKzTEstfyYfrUsYmMKvR6EPLvm9Qfid9GVJOz8pjfE7xu/9llZdtJxYZlGQSrE7wp0wkh5foeEXtoc8/FeadhrlGxzqBd43xLjC35sg/TNMUvCOSAAAQhEEsDzOxIYySEAgbohgOd33XQlDYEABCII4PkdAYukEIBA3RFg5fdAlyJ+193QDm/QaBa/3VY0Pt8rzT/vlabn+0ov985tlN4TG6XvWDbIDO9xUkIAAojfjAEIQGCsEkD8Hqs9T7shMLYJIH6P7f6n9RAY6wRGSvzu298nva/0Djv+xvZGaZp25GJZxO9h74rRU2GtiN+WmK4AbzYrwZs29oiuDNdDV4P3Ljerwc1/+jsHBCAAgTwCiN+MDwhAYKwSQPweqz1PuyEwtgkgfo/t/qf1EBjrBEZK/D70q0Py+q2vDzv+tje1yYR3DVglu4cVv9MCwvN72Ltp+CoctZ7fBsH48Yc9vdXwxP5d2vCyzZw3nuDq7d3T1y2TzL/Eu7u5Qbpau6WzG8/v6TNmyvp198qJJy1LNjpUP1P1XVMvVfUWP3n5Ctn6+JbEt3z2nGOSjf8uvvzKZPPI1rZxyWsPmjznX3yFbNywXqZNn5GUo+fPPOciueO278glJr1uHDnHbCCph3qg6caSWtc7Vq1OfIN1w0jdzPDcCy9L0i5esjTZqFI3rNRY1ONcj66uQ0n5+lraz25zXg82vDzsh4vnN57f+p7wvYrx/B64j+L5PXBNthvguk8XaZ6JWZtjuRvY2jKyPCmzvCfTfGezYmPDy/LnQDy/y3ng+V3OA89vPL/zZo54fg/QwfM7X19Iu8+n5Yjxuo7xWo7xrcbzu7xnYthpzhjf6FgP79j0Gk+svzae36sT7Sb0GA0bXnY/ZbS5+ztDQ65YupbjzT6Bbxt3RHms/K4Y4toqqKbFb2/Dy0lNk6Wh22x4aVxRus2/TvOv32jh49vNhpdmo0o2vET8VlF+lxGC9JhtxHoV4q+4cnXppmtvpq/sfDkR4JcuPy0R7VW898/phwj2Zm0fOjqmzyyJTPbBrM1sxGjrsa/pDcuKUe4Diy3PCzutvQAAIABJREFUfVi09babzVNtLO55xG/Ebx3PiN/pG3AifiN+63V/4XEnlD2cZU2c2fBye+l+5T/N5gnOeRPvPJEi71xemYjfiN/++CwSw9I2dY4Z4zZtiEBYJOSExBIiMIaUo3EjfiN+68KmoiNkbGsZIWPT1oX4fZh6jGDLhpf5ozWGpZYUMw5tzUXXcT9CNrwsusKMrvOI36OrP4YtmnoSvycacbBRGqTRLA7uPmTE796D0m/+TTT/Gsxq8JZJbdLQZtRwc/T1mzN9fdLY2CTdPV0DK8ado6W1Vfp6+6S5pcWkaTBn9D+RJiOiH+rsNPn75ODrB0QfPFXIHD9horS3T5Jek6epqVEOHDggr+3aKZNMTO2TJsu48eOl8+BB2b9vr+jK9fkLjpem5ibp7emV7c88JR3TZsrRUztM/p5kRbauhJ47b6H09HTL1ie2mFXV82XK0VNlz2u7koeORYuXmnNdycV82amnS3Nzq0m32Qi685NytmzakPzOyu9PlT7dVlED8fvOZEW9jhl3oug+8LqfDrsTJvchwP3dTePmdct063JFC3eVqT+Jc8tyBSn/gdCt3y3bL8+NQd9D99+1Vq76wBo51N2XfONBv+Ww2HxDwl+x4Issblz+BMBP6z+cudz8vP6KW/9BzS/bF+kQvxG/9R6VJgqy8hvx23+ozJrU5U24Eb+zPxhQvnmT8SKxKI+tll0kSrHym5XfeRNHxO8BOqz8zpcXiq4zNnfR9cytJUZ0jFm9XPRhlxtDTLkx8cZwKLpH+D2D+J0/VhG/a2/l97CJm4EVIX4HgqrHZLXm+R3aB7pBZsumPmkwP/EGD6VGOgiMDQJ4fo+NfqaVEIDAkQTw/GZUQAACY5EAnt9jsddpMwQgYAmMlOf3aOsBPL9HW48MYzz1Kn5bhCp8N5vNMRt/0yuNr6h7+MDRO7dRet/SLL1zyld9DyN6qoIABEaIAOL3CIGnWghAYMQJIH6PeBcQAAQgMAIEEL9HADpVQgACo4YA4veo6YpBBdLQb45B5SRTiUC9i99uVzfu6JXmXxkRfIdZET6wd6L0m70We5cbEfy4JunrGLA34YAABOqbAOJ3ffcvrYMABLIJIH4zOiAAgbFIAPF7LPY6bYaASOOePdKwZ3fVUTQaS9zGYagnrSFN258pbN9R1320MA0JRi8BxO8h9k3deX43mA0vzX/d3V3S2XnQKNtmw8sJZsNL4+3tbnjZ32s8vw8aEbyrUXq6uo1X+MDq7/5W8z/zX3N7W+Lrjef3MfKg8co+/+IrZOOG9TJt+ozEM/rJxx6VM8+5SO647TtyidlERTd0nGM2kNRDPdDUW1s9iN+xanXiua0bRupmjedeeFmSdvGSpfLCjudkasf0ZGNJ9TjXo6vrUFK+vpb2s9uc16PFpNc0ml/LWXDsoiSmFWe8rbSRpPXAtB7NeH5fVrYpIp7feH7bjVj1PZW2cZa/G7zvm5i2uYvvPevnSfNI9L370rwOfX/HtN3k0+Jhw0s2vGTDy/LNPvX9juf3p1KfnvN8ZIs8WPH8TmeqoIv8WYs8z0M2dizyAA4poygObUuIL3LRRmkhsYT4CYeUozHj+T3wdsfzO180CBnbdp53z09/JO9ZvaZQhYjx0HafF4uEyjvW3yeLjzlWjp09tyyGNOHxZ9ufkjkTJ8tJZs5YdPxq+29k/+v75ZwJk4uSyk6zL9dPDuyRD0yZVkrbYARWjSHt+Pa4ZlnZ1Svz+orXbe7QvYmmTZXV258fKMpoG2LXe6b8fvvsmTLv9YNyyp695elN2jRB9GtnnSkf+MUvZcrBzsJ2djY3y/Vnnym/d9f/S9KqsJvVRj3fafZN+8p7r5L/9n/+tbBsm+DP/suH5E8+97ng9N9Ys0bOvftuWbhtW1CedStXyp6jjpK3r10blF4T/amJJyamR049VZ5ZuFDefcstwXXctHq1vOmRR2TJY48F5/nb3/s9ueaGG+So3eFCflke1g0Hsx6NCRG/h9grY1X8dje87DloNrzsNqK56qp9A0BbGlukd7wRvye0SsN4FcbZ8BLx+0Y57Ywz5ZWdLyfC+8qzLigJCPaBrWP6zJL4bidibW1tieB/xZWrS5tM6iap9sHRfdizEyb3YdFOGtvN5qn6AYJ+kOCedyd8doKjm6ra8l1B0N0UEfEb8Rvxe+BDtzSRwd+AVNOlTeLSxJLQ19LE+jSBLU3o13jSJqpseFku9GYJYlmv+xvH2kesrAl8niCaJThlbb6VV1aWeJiXJ08MRPxG/LZju0hALTqv5RSJvYjf5ZO1EKaI3wPMQgTZrHukP0UejPidJ8I+boTSHbt2yvmnniHNz2avuHzezBkefuE5ufKEk5OQslZnHjKLrr7+2k65durMJF2skNr07PYBgVTFUT3M709OapfNUybJqudeKHtd0/hxfH3lGXL55i0yc99+H13ytxU9X5o6VW4952z5yC3fT03nvvjwccfK3nHjgkTH769aJQuMmHmqEQOLjhjRMKbcGJH0xVmzRMv+2PXXF4WbnI8RbLcZEfWe885LRM6QI6aNWl6MgNpp+k/Tf/oLXwgJRWLTa6GxQnMMSy1f+3X3zJly8YbisWUbqYL8H//L14ParIl+dcIi2T5rtrzjVxulb8pRQfm+e+oyOeX5F2Xxzp1B6TVR3gcXvfMXpJbzD8ctkPc9+7xM6e6RCf/2zeC6SDj6CCB+D7FPEL+bpLvHiN8NRuDW5wUVwLv6pbWrxejgRvxuaJbG5iaRiQ3S124eFFqa5FBnZ7Iq/ODrB5LVkipkjp8wUdrbJ0lvb580NTXKgQMH5DXzQDTJCJbtkybLuPHjpfPgQdm/b6+oMDl/wfHSZMrt7emV7c88JR3TZsrRUztM/h7Z8dz2ZCX03HkLpcd8qrz1iS1mVfV8mXL0VNnz2q5EqFm0eKk515WIMctOPV2am1tNus0y26TTcrZs2pD8Pn3GTFm/7l458aRlyUpqndiraKvirdZz8vIVsvXxLUkbZs85RnRSfrFZya2rqFvbxiWvsfJ7QHC2kzfE7/KJrivwuCuF3QmLK8K44pwrMPqTQbcsV5DyxR63frdsvzw3Bn0P3X8X4jfiN+K3fqCn9wp7pIn+ei5NgMgSXrPE3TQxOEvgyRKbs8TpWJEb8fsv5SPXHSkA54npeatis/pcx06eCJ93Lq/MvFiyxrAd43lCLSu/j5xUhAi1iN/l3Ip4hDAdCfH7xPnHybGTs0WbJ82cY8eBvXLh/ONTZ59WTL1+10vyoaOnS5vOrZwjEWffOH7Z3Ch7GxvkPLMS1h66mrRBVzM64u03jp0vl73wkszoNBO0jFWsoStTnzFi5f9b8Wa55va10r/7tcQGIe0IXcEZmi5UyIwRDUPFv8eWLJFfmRWp77vxxkLF4O+vvTZZtTrrxRdz08aIvjFisivg9k2ZIv1HHZ252vnbF1wgy7c+KSduf/aIND3zygXA25aeJPNf2y3LdpgPAAqO9YtPkD2TJ8v5L79SlFRebmsVXXF9zTYTg3P0zjv8TOW+HrPy+5nZs+Sh1/fJf7Cryr0PNdz3iP7+k/27ZW5zi5w8buJAlTa9+ZkmiH5z8wZZZT6MmfzGN6/zGnvIaBPf3PyIfGT56UkyFXb7jG6QdRzq7pZ/++kP5EOXvaeQoU1w/a03pT6TZBVQ9IGqny/mGwg2b9F13K8jbUFLEYCibyyl5fe/lVtUh5538+D5HUJs9KYZFvH77FWflF2796VS2Hz3DaOXTmBkY8nzOxCJyN4+aXncCNlmo0zrDZ5c8Oc2Sc+JRgg/tjnxCueAAARqkwCe37XZb0QNAQgMnQCe30NnSAljl0DWyt2s1b/JCt4MD1hXEHaJJkKwirO+1YERurSs5FzGkbcKOcQTduz27JEtT0TYgFWcvuCaxzBrdaafp9/UnScy+ukT0bXAHiPJ80aa0DhsPUWiZ1qblZ0y5IAABEYHAcTv0dEPg42i6uL3u9d8RjqmTpZ/+dKnBxvjqM+H+J3fRY3P90rLJrNBpvnpbpLZt6RZeo41QvgcszKcAwIQqCkCiN811V0ECwEIVJAA4ncFYVLUoAmkWUpkbRaWJiBn2UKU2T+8IR6XxOSUaNPEYt0YLWtl8KAbPMozlgm9KSJqkcBbJKZmrYgtiatmNWm/8eXN8zYuqkPLyhNpW1saZaLxXt7VOAFRdpSPR8KDAAQqTwDxu/JMh7PEqovfS89bI3/+Rx+WVZeeNZztGta6EL/DcKvw3fhYjzRtMyvCn3/DHNxk1RXgvcubpfe4JunreMNnLaxIUkEAAiNEAPF7hMBTLQQgMOIEEL9HvAuGNQB/tW+a2OunSROW02wp0lYup22IVi8rjvNWAmeJw8kK3ozVw1mCsK741Xy+vYEKw1pWci7jyBOpQ8TjYR2cw1xZmxG/28e3yKt71eeSAwIQgMDYIoD4Xdv9jfg9xP7D89vx/HZYtpidivuMf3dzS4s0Gk+6Iza8NF7dB/caz+9De2Wy+TehYYK0m3+94/qlYWKjvN500Fjl4Pn9jlWrE58p9czWzRrPvfCyZPPHxUuWygs7npOpZudt9R9Xj3M9uroOJd7k+lraz25zXo8Wk17TaH4tZ8GxixKf8hVnvK200aP16rI+V+oVe8KSU2SX8XvWY/bceaWNKG1a39d76fLTSptM4vl92CPW9UHD8/vwjve+D63vSedy8/08fZ9a35/OL9v3Pvb/9tP75fnevmkepL6vnO/Bm+Zv53vk+XnSfEx9Tmm+w74vXtoGV2nxpPnp+d7TbHiJ57e9/bPh5fbSfdF/vMTzO5uNskrzILWC7ytmFfHdjzwkq49bUobVrmZ+6ODABnNnvrKr7LwVm63v8ayXXz7C7kKFbHdjLn/F8m6zklb9gX/3b/4mdcYw1PNaaNFmZVn+xFZIVh9m3XfnnA0bEpsHXyjeM36c/NtbTpePet66ri3ErW3NcrJ5Nl/UazxuXfuHN/yjd0+YIN978Vm5eqmpyzusWPzzxzcnZ04/cWlidZFm1xCyAWORV+xo9fzWZ+SFx5VvGuyiCvW0zdrs1y0r1IM3hHc1N7zMm2aH8sjbS8EtP7QdWdebtFiL9kBw84Sw1vQhfvS23NB+1vR5+zz4bYvxSo4pNybeGA4xfaZpQ8eM5RLTRs0T4xsdMy617Nj0mqfomun3P57fq5P92kIPPL9DSY3+dFUXv9X25KKzT5NP/na4af/ox3Y4QsTvQYrf7oaXEyab/TDNhpedExPBvKmhSQ6Yf682vCqTJk6RicY2Z9xENrxE/F5d2vhLb1j3/HRANHUfWOzN3334sjf4drN5qjLUDxLc8+4DoJ1w6Kaqtnz34dwVdtx87gOve4N0JzDugwni98BDh//gi/h95AMs4vfA/TZNOEybOKdNeLImEmkT1bR6siZoaZMHNry8M/ngVTeSdo+sCXHeBDVLAMqapOaVlTXRy8uTJw5kTTTrdcNL115DN9a67s0rS93r2mn8cN9rsnTf/kRAtUciYBsB9VkjwD5w9GT5wLr1pXPuCudvXX6ZnLd2rSzctu2IaUDRBnH3nHdekufcu+9OnUIUbUSXJz4n4vaHPyzXffv/luwk3JXBibB82gr56Pbny+q2wvJe0/abxzXJhw/2JMK0b0uhQvNXNqwrY+rbTtz6wF1y2oq3yqzFJ6W2L++DFc0QIhYXiWEhZRTFobGECIRFQk5ILCHCWkg5GnOIGF3ET8sJFXtD6gsVGUN4h4pten3bsP4B+eDV1+Su/A5tZ2i6UCEztB3aF6HiH+J3nKgeOi61D0Leo+4FL7TPNE/omLHlI36n3lpKL8b0q81UdB33awy9Hrj5Qq67fj0xH1zYvIjf+eNjqGe//M/fTYoYDr246uL3LWvvk/99/U1y7y1fHiqXUZkf8bsC4reZDIyfYMTvCZOkr7NXmnY3yMGDRvzufzVZFd7eNEnGTRovB8cfkn3de0WFyfkLjpem5ibpNatUtj/zlHRMmylHT+2QXrOj8o7nticroefOWyg9Pd2y9YktMmfufJly9FTZ89qu5Ga7aPFSc64rEUF1kt7c3GrSbTarmecn5WzZtCH5ffqMmbJ+3b1y4knLkgm9ip8rz7ogWTWt9Zy8fIVsfXxLIuTNnnNMIsRefPmVySrq1rZxyWsPmjznX3yFbNywXqZNn5GUo+fPPOciueO278glJr2u5p5jVlLbhwFdPaJ1sfL7FGlrayutpLM3OcRvSVbpuw/l/iTOvVG7or3/QOhOstyJq1+e+4Ch76H771orV31gjRzq7iv7AMKffPiTYTcuxO9NyTcv9BsdWQ+LiN8DZBC/0wWYrMlj1kQla2V21gQi9nVWfg/fym8VpH/80x/K4mOOleMntpdtCKiC80/275G55tt3y15+pXR9sb7ND3QcbfZgOSRnbfn14XPq0Ww2CXx8wXzZuHChrP7Wt1Kfu/OE4ptWr5Y3PfKILHnssSPybjNlqkh9zQ03pJabtrrZWky8NHWq3HrO2fKhXzxSltfaYTwwbWry+lvHt5edt2Lzv5lvEl5sFlN0mG+7+XYXKmSroH/tu96X5PVXLBcJpEM9r3UWiQRFok+R6FwUo8ZQJCKElFEUh9YTIsYW8QiJJURYCylHYw4Ro4v4aTmh4k5IfaFiVAjvUNEY8Tv10lV6MYS1Jg4Zm7bQ0H7W9DECbsh4tTHElBsTbwwHjaXoOuj2DuJ3/liNYaklxfSrrbnoOu5HGHp9dPPFjGObD/E7f2yEnt3066dl9cc/n5r82g++qyRkqwW2eyxaOFe+f8OfJy/pIumt254XTa/H9d+6VdzzobHEpKu6+O032A9u8903xMQ7KtPi+V35bin5g//GrATfUe4Prhtl9h7bKL1zGitfMSVCAAJBBPD8DsJEIghAoA4JhHh+W8sOfwNC+7rvCW1XSOtqaD1nD9dfeqR8n12fZt9Ww/dj9j2YEwFbN000K6ATr+XJk0tt81c4j3U/5Tp8q9CkOiOA53eddSjNgQAEogjg+T2Ay4rfN37ts7LspONSGZ696pNy1hnL5C/+x0dL51XwtuK3fdHqxcOhC1dd/I4aTTWaGPG7uh2nQnjzxh5pMJtkIoRXlzWlQyCUAOJ3KCnSQQACo5WAa+eRJjK7AnUiSu/dmzRlwgvPJt960cO17hhOcTpPkHZFZFeMdjcBLP3+Rue4QnSWX/No7UfiggAEhocA4vfwcKYWCEBgdBJA/B7olyLxu+i8llGXK79H57CtbFSI35XlmVda4w5ji/J8vzSpGO5sNN4/uUF6T2ySvrmsCB++3qCmsUwA8Xss9z5th8DIELDicpFQnbaKerhF6t4FC5MVz/5K6Sxh2q6QTlZHTzm8EZPrL83K6JEZd9QKAQgMEED8ZiRAAAJjmcCIid8vviiSYilX9b6YNUtkSflm4yHit6bRld9Tj5p8xEpvP+a68vzWxqnv92e+8E9l7fzzP/qwrLr0rKr3V7UrwPO7gp7f7ZOMZ7dZ3d3UKAcOHJDXdu2USWaTwvZJZsPL8UdueNncZTy/93bL9td+I9PNv6n9U6W3oVeebXhWWseNkzkLF0hPUw+e38ZjXD3K1Wu8u2vgE4MW44mur001/pfqObzg2EWJD7n6SNuNHq1Xl/XGUi9X9SLfZfye9ZhtPMrVq/yKK1eX/Cqth9grO19Oyl+6/LTSJpP+OfVOt3VYP7mO6TNL9VsfLzy/Z5R5cbqemnh+D2x6qoe/KZHvT+d7kfrexP7ffnq/PN9PMM071PeV830T0/ztfI88PL8H7uJ4fteu57cK0RuffkJef/lFOWvugsTSw1p7PG/uE+tam2T1E08lthiu5cffnHuWXHfzt2W8uZ/oCm17fH/VKllgNkU81XhLu0eep3San7Tm/c3SpXLP2WfLB29fKz3HzC8VpyLzLXNnycndvXJ82/jkddey429ffaG0QaG7Yvq5pobSfdF//szzQ87zVM3ztMw7l1dmXixFG7zl+XjmxVPkwZrnQVrkDVvkNV3kxZvXpiJf6KGe13FS5I1a5M9a1P6iGDWGIu/UkDKK4tB6ivoihEdILEVjRusJKUfThXhwF/HTckI9bUPqC/XgDeGN57d/tT78d9H10M0ZwlrTh4xNW25oP2v6GG/ukPFqY4gpNybeGA4aS9F10O2LovuN3+MxbdS8Mb7Roe8vG1Ns+pBrpt/eGJaaN6ZfbV1F9zU/ptDro5svZhzbfDF9l5ZnxMRv3S/lQx/KvlhV68yaNSJf//oRpQ/W89v1A69WyHnlVt32RJV8NS93/WAsrJFufCWAI36PnPjtbng5bfIM6RAjfu/qked6n5U2829ewzzpmtgjTx58PNm8csp0NrxE/L5RVl/9sbKbuHvjtBMO3VTVfgjg3oxdgdTN5z7wujdVdwLjPgS4v7tp3LxumW5diN+fSi7d/kMz4veZyXVOj7SHfv8BMe3hOu3BM+3B0p+Yp01g0iaMaQ/PaWJJ6Gtp8aa1PWsikTZRTas7a4KWNnnImiin1ZU1OcuahKUJItXc8FJF6zvW3ycnjZsoxx01tUy0/uGhA7LUWIAsfmlnskmi9ai+c6G51+56VVY+8ECZYL1u5UrZc9RR8va1a8sevfIE6y/+0R/J7/7N38i4zs5SHhWlf2DE6mO6umXZjheS1+1q6O3Tp8kDZoXJVZ09A6/pqus3VlF/78ktcvqiJTJ7/rFlefImyHmTqqxJXV55iN/Zm4FqpyB+D9zb0o4ioaJIdA4ReYtEhJAyiuLQtoUIhEWiSUgsIcJaSDkac4gYXcRPywkVd0LqCxWjQniHim1seJmvHISwTnt+zSs1tJ+1jBgBN2S82rhiyo2JN+Q96rIpug66aRG/88dqDEstKaZfbc1F13E/wtDro5svZhzbfDUrfuvz8xe/mN+x1Tj79reLmOdx/wixNfHzWF14JBdBV1381uXu733n+aUdPy0EbfzNP7hL7r3ly9XopmErE/F7dIjfHdNmytFTO8zK8R7Zse0ZaesfJ/O6j0n+frz/cTmm4RiZMmmqvNb0mrzSvVMWLVkqPT1dycV82amnS3Nzq1khvjkRj7ScLZs2JL9PnzFT1q+7V048aVmyclrFT12xrKuadzy3XU5evkK2Pr5FJk2eIrPnHJM8eFx8+ZXJKurWtnHJaw+aPOdffIVs3LBepk2fkZSj58885yK547bvyCUmva6gnmNWUtuHIl1hrXW9Y9Xq5NNlFWxvu+VGOffCy5K0i038umJbV25rLK1mJbceXWZlt5ZvV3r7PxG/Eb/9B0J3kuVOXP1JofuAoQ+s99+1Vq76wJrE99Z9MPYnUf5k2H3o8B98/bT+w5n7IIX4vaZ0n/M5IX4PfCPFHmNR/N58909k/+sH5JwpUxMMdrX1vS89L5P7+uX0Xa+VidnfPXWZvGnjRlli/nNXWd+0erW8yaywXuJ91TLr9TsuvVSm7N4tK9etK/FXIfqhpSfL7tlz5MLHn0wsPawo/YwRxHXl939onVj2umb+x0d/IR+46J3SOm26SX/YBiRrIp432c2a6CF+v+2I5+WilY6s/C5HViSgFp1PxvpX/lI+ch3id6hoEsI0RFgLKUdjChGjQ0SYUHEnpL5QMSpEkEX8zpYNiq6Hbs4Q1naeZxfYFAkWof2s5cSI1CHj1cYWU25MvCHvUZdPjGCL+J0/smJYakkx/Rp6HfcjDL0+uvlixrHNV7Pid9HFYpjPD0b81hCztOHhCr/q4rfu3pmm7lsrlOHY1bPaMPH8rjbhwZevHuHNv+mXxsfwCB88RXJC4EgCeH4zKiBQPQJ2I0brbW3F66ZntyeVJj/Nymb7t/WzruSGi3ZFtfWcdkVr9bHWw66wtmmtBUi9b5ioX3vl2a9645+SIQCB0UkAz+/R2S9EBQEIDA+BEbM9GZ7mBddSJH6r1vv1G28v8/seDfpv1cXvel/5rSOECVDw+2REEyKEjyh+Kq8zAojfddahNKfiBEIEbNfjWoXuhj27y1ZeDzYoXSmtAnSWcK3itStmaz2att5F68Hy9PMhfleKJOVAAAK1RADxu5Z6i1ghAIFKE0D8HiAa4vn97jWfka3bni/rgpFe+Fx18bvePb8Rvyt9SRme8jKFcOMe0rekWXqPbZTeOY3DEwy1QKAGCSB+12CnEfKgCPgitq6uTlZiG6/rxO/a2HzYFdiVErCzxOveeQO+7ol4bSxDSn8boVtfsyuwB9VQMgUTQPwORkVCCECgjgggftdRZ9IUCEAgmgDidzSyUZWh6uK3ttYucXdbPpJG55XsATy/R6Hnt/HiVg/sufMWGl/vbuPlvcX4aZtNuI7O2PBy0WnStr9Fnnhpixxj/h1t/m3q3yRzm4+R6dNmyUOv3m88to3n9xQ8v9WLfJfxe9ZjtvEoV/9x9da1fpXWQ+yVnS8nvuNLl5+WeJWrZ7l/Tr3TbT7rJ9cxfWZpo0nr49XW1laqx76mHuvWL8/1orPlud5ktt72SVNKsbjn2fDyb+X9V19rPOrbBM/vyckeAHr4/uO+353vJ5jmHer7yvm+iWn+dr73q58nzSMRz+/LSrf1og0vVbhORGuzwvqmzY/IxePbZdYLLyR/N5gNHB9sGfjQ87y77y6twn5x1iz5/qpV8rHrry97fPiG2QH9XJNu4bZtpdcfW7JEfnXqqfK+G29MfKrt6uuvrzxDLn/mWZnW0loSrJ8x5a7r7pQrzf1FD7vy+q6fP5DsF7HY7DXhHsO94aXWneWnmPW6uymwG3uWX2SeL2eW7y2e34fJ5vld5vm05m1MWORxi+d3+SyiyDe66LyWhud3OdMiHiFMQ/yEQ8rRyEI8uEO8Z0M9bUPqC/XgDfGhxvM7Wxkouh66OUNYa/qQsWnLDe1nTR/jzR0yXm0MMeXGxBvDQWOJ8anG8zt7TMey1PQx/WprLrqO+xF8QYNgAAAgAElEQVSGXh/dfDHj2ObD8zt/bNT72WERv+sZIuJ3HYjfzoaXc44+Rjr6O+TR5x6RY/qPkRnm34P9D8pJzSdLu9lI8r7d98hvrbxA9ney4SXi9/dEPwxYeNwJ4j7wujdVdwLjPgS4v7tp3Lxume7N3RUt3IdyfxLnluUKUmx4ObDBmy/S+X8jfg/cudMeLP2JedoEJm3CmPbwnCbChb725C8flhefflIumj2vtHnjjueflXWN/bL66WdKq7F7XnpBvnLVf5RP/8VflD2O/P2118q7b7lFZr34Yun1e847L/ldRW177Fi0SG69/HL50C8eSV7S1dVqGXLTjA55a8s4mXu02Wz5jRXZTzY3y+MvPicXv/u9ZXWlTYqzJmdZE03E7wGkiN+Hhxbi9wCLPDFfzxeJUnmT9CKBdKjnNb4ikaBI9Clqf1GMWdd69yIWUkZRHCF9EcIjJJYQYS2kHI0nRIwOEWFCxZ2Q+kLFqKKxr+1D/C67XZf9gfgdJ6qHjkuFHPIedTuj6DropkX8zh7TeiaGpaaP6Vdbc9F9zY8w9Pro5gu57vr1IH7nj416P4v4PcQeRvyuL/F7tlkhfvTUDtmyaYPMnjFPZvXMlIe23ycn9xvx2/y7t/9eObvhbNnbvl+e739eTlp2qmzd/pjoSmRdqaeT8osvv1KefOxRs5J2XPLag/fdKedffIVs3LBepk2fIRONiK7nzzznIrnjtu/IJSa9rqCeY1ZS24cBFVVVjHvHqtWiF2ldOa0rqM+98LIk7eIlS+WFHc/J1I7pyQprXemePMB2HUrK19fSfnab83q0mPSaRvNrOQuOXZTEtOKMt5VWVNublr1JaDys/L4z4aqrg90bLuL37aWVqv4kyp8Muw8d/oOvn9Z/OHMfpPy8/gTFf1Dzy0b8PiT//s3r5ZqP/G7pLpj24Dmc4rddlf3zxx+Vhs5D8lv7DiSrtNVS5MH2CSKHOuWcX24wf5vV28Z25BGzwvqZhQsTAdse28zfKmBfc8MNpdc6x42Tv/2935NPf+EL0rtgofRNmmxWZR8l//K2lXLZy69Kx4xZSVoVsB9sbUp+P/3EU8zfC5LV21kTtLTJQ9ZEGfH758k9R7/x4x6s/B6gkbeyLm9yh/g9wK9IdC0SABG/s7/lYd+vIUJxUT9oWUV9oWmKRJOQWEKEtZByNJ4QMTpEhAkVd0LqCxWjQngjfpfdlsr+QPxG/E4bHTECauj7y9YTmz7kmum3AfF7daLdhB5uf2N7EkptdKarmvi99Lw1cu0H3yXXf+vW3JaPtOl5JbqFDS8rQXF0l9FgNOPGx3qk6Td90vhqn+jf9uif3CC9C41H+HGN0jdnQDjhgEC9E8Dzu957eOjtc72yE49sYy2iQnYiaFvf7OS1ATE79nBtRezmjSpg+37YbOQYS5b0RQTw/C4ixHkIQKAeCeD5XY+9SpsgAIFQAojfoaRGZ7qqid+js7nViQrxuzpcR2upiRD+mx5p3NFvxPDeciHcLMDuXdgkfceZ/8yGmf0DC7I5IFB3BBC/665LgxqkIvWAWG08svX3Nzy09ae76aP+HXuomD2w2vqoxFZE7UVUyLYbOVqBm40dY8mSvtIEEL8rTZTyIACBWiCA+F0LvUSMEIBAtQggfleL7PCUW3XxW1eAp21u+eV//q7c/IO75N5bvjw8La1iLYjfVYRbA0U37uiV5t/0G0HcCOF7+8si7pvbJD0LzcrwY80mapMHNlLjgEA9EED8rodePNwGFaubjahdSUE7b2W29c1Wodvai9QXUVpTzwQQv+u5d2kbBCCQRQDxm7EBAQiMZQKI37Xd+yMmft+y9j75zBf+SWrd9gTP7zr2/Db+39NnzJT16+6VE09alng9q0+wepaqd+mO57bLyctXyNbHt5R5fl968rvlid88KuM622SO+ac+4Zc0XCK/bNog06Yaz+9Zk+Xx57fImefi+W19Ha3facf0mSXPceuf2NbWlvicX3Hl6pLPtvp03fPTH8l7Vq8p80q15bleiNbXrH3SlMQ3Xf3T3fOuT6P1Wdy3b0+pfNej0fWJxvN7rVz1gTVyqLuvrA/w/P5Y6anA9wT0fX3T/D99r1M/T5qPqe/dZ32U33XBZaVV2rdvfkSW7tsvi18zNiNG6D504IBcf9ZvyR9+5Ssly5E0D+2bVq+WNz3yiCx57LGkXSpo/9V118m19z0obRMnJquzXzzqKLmjfby8b9lpSRq1GXmqpyvZR0D3QLBHpTe8TOOX5iGd5Z+Y5oWa5lmL5/fAxr7ukeVv63vp5/W9nsPze4AQnt/5G3AV+TcXeU0X+R7j+Y3nd950PsSDG8/vwwRDvc1D04VuXhjjlRzqeYznN57fadcGPL+LBdCivRv8EkKvByHPonnRxfSdLQfP7+L+rpUUIyZ+//f/+Q9y38Oban7lN+I34rcvftsNL9uax8mc5rnywON3ycVNl8gj3RtkuvmnG2c+1vCYnD3tPLlt161y8aVmw8sNbHipm4Mifv99ssmpivvuZN2dVLmTfPeh3N+4yb1Ru4KUP4lwJ3Vu2X55bgwqRNx/F+K3/VBGb/hpG2dVTfz+8Q/kfcvfMuChbYTs7+7cIWfu3isLt25NVm4/331I7j35pLJNH30R290EUuNXEXvDW1fK9pkz5O09/SWrkR8c3CdLZsyW+cvenKTRwxcC0oSptAkj4vfl0jFtRun5MGtCnyWEpgkwWaJg1mZoWeJ0lnAT+zri9/bSh7X+RCBPoEX8Rvz+yHWfypw7Fgl1ReJ/yMaOReJtSBlFcWgDiz6I0DRFoklILEUfmGTdt9M6AfF7gIreszasf0A+ePU18upeZ/MjD1qoiBWaDvH7yM2i08Zp3n3ET1/0fnfTx5QbuhGrlh/yHnXjKLoOumlDx4zNE9NGzRMjoMZ8KKNlx6YPuWb6/R/DUvPG9Kutq+g67scUej1w88WMY5svpu/S8rDyO+3qUzuvVUX8tqu6izCk2aEU5Rlt5xG/Eb+zxO/WtnGigu6DZrX4+RdfIZvWPSzTm6fLpM5J8vjuLXJO4znyw74fyjsa3iEPtTwsczvmSd9RDfLKwZ1ywsmnJKvMVQjVi7SuVtZVy+deeFkysV68ZKm8sOM5mdoxPVmF3to6YC7e1XUoWaGur6X97Dbn9Wgx6TWN5tdyFhy7KFmlueKMt5VWPNublr1JaDwnLDlFdhnhU4/Zc+eVJvk2rb2ZvrLz5aT8pctPK6229s/pCnpWfpcLie4NGfH7SDHEfZDyH5p9sdV/UPMn5b5I5//tp/fL8x+sKyl+X/fmlSX7kZ907pcF27fL8qeeTsTunZ2vyw8uukg+dv31pdvhN9askXPvvlsWbtuWvLZt4UK557zz5IPf+17JQ/s7p6+Qk6VRjp0+KxGxO9snyje3/ErWvP+/JKu59Uh78Ex7sET8HkCfNnnIWiWWJvggfrPy276JEb8RvxG/D8/wikQTxO9wMSrkw4ZQsQ3xO1+FCGGtJcSIvjGiY4yAGyMaxpQbE28Mh6xnrqweQfzOH6uI3wMLzUIPVn6Hkhr96aoifrvNzvL8Hv1owiPE8zucFSkHCCSbZj7WI80v9EvD80dumtk3rdFsnGn+wyucITNKCeD5Hd8xrq92y6MbpXHvwIaRulpb/bZDN4lM2xiy55j5iaitm0Kq7YhdpR0fJTkgAIEiAnh+FxHiPAQgUI8E8Pyux16lTRCAQCgBVn6Hkhqd6aoufo/OZlc2KsTvyvIci6WVNs18vk8aXukrQ9A/2WyYqUL4cY3S39Ek/QOLvDkgMKIEEL/L8ecJ2y2P/qrkq13UaSpaq3itIrb+3mdWJujP3nnzzQptNocs4sd5CAwHAcTv4aBMHRCAwGgjgPg92nqEeCAAgeEkgPg9nLQrXxfidwWYIn5XACJFlAgkq8J/0yONO/ql6Tflq8I1Ue9cI4LPaZQ+87PX/OSAwEgQGEvid6NZma0Ctq7QTkRus9ntYFZs+8J2slp7wULpnzyZ1dojMYipEwKDJID4PUhwZIMABGqaAOJ3TXcfwUMAAkMkgPg9RIAjnL3q4vemXz8tqz/++cxmbr77hhFGMLTq8fzG8zvU83vjhvUybfqMxItb/bXPPOciueO278gll5sNL42P9xzjoa2HeqCpt7br+f3BUz8stzx6s1zce5E8bP4tMf92mH8dzR2yb+IBaZ7SJv1HNUqXUc7x/P5U2cYc1tesfdKUkv+460nn+t5ZL+N9+/aUvM9dH2TXF9rN5/r8ub5grjey62Hp/u6mwfP7/uQ9oN7zeviedNXy/FYhe926/yeT9x+Q0195NRG2H2xtkobOTrng5puSWNatXCl7jjpK3r52bfK39dW+5oaBe9irJy+Vb73znXLtps3JSm0Vtv9FumXViafI+BVnJL7avm9imse273Xq50nzSPQ5pXkd+v6OaR6feH6LpG3YluVLief3KbLwuBPKHqLY8JINL/X5xR8XOkiKPFjzPEiLvGGLNlos8uLN85gu8pce6nllU+RxXeTPWtT+ohg1hiIP4JAyiuLQeor6IoRHSCxFY0brCSlH07Hh5cBlHs/vstvdEX+EjO3kedHM8+756Y/kPavX5BdozsZ4aMd4cxe9393AYsqNiTeGg8ZTdB10Yy663/jgY9qoeWM2TQz11LcxxaYPuWb67Y1hqXlj+tXWVXRf82Niw8vCywEJKkCg6uL32as+KWedsUzeuuJk+d/X3yT33vLlJOx3r/mMXHT2afLJ335PBZoxckUgfiN+D4f4Xdrw8pzL5JcP3i8nTTxZdrz4rEzr7pD95l+r+afHodYuaZ82RfY2mQ0v5xwl+zvLN75kw8sbk81DEb8fkCuuXJ2MGXdS505c/Umh+6CsD6z337VWrvrAGjnU3Vcm6voPbf5k2H1g9B98/bSVEr/VX/vnjz+aWI+c+cous4p7o9w5a4Yc9cIOOfP22xMOd1x6qUzZvVtWrluX/K0bRuqhG0mqcP3gBRfK7lmz5Lx+860LY0WybdEieWjva/LOCy5LxO5KbnjpbnyG+D1wf08TVdIelNMmPFkTibSJKuJ3uZidNUHOeh3xG/Eb8bt8ThIisBaJBEVCRZHoHBJDkRgWUkZRHEomRCAs4hESS4iwFlKO/5yUNeMs4qf5QsWdELE9VIwK4R0qtiF+5+sNIay1hJCxaWsK7efkufVnt8vsOcfI4pOW5QdqzoaMV1tITLkx8cZw0FiKroNuoxG/84dADEstKaZfbc1F13E/wtDro5svZhzbfDEfXKTlYeV34eVlVCeouvhtN7w8fsEc+a///a9L4vcta+8rE8NHNaWc4BC/Eb+HVfy+8LJklfjiJUvlhR3PydSJ0+T1F/ZIW1ebNO7uk64eI36bfyqI68994/fLxKMny17zU0Xxrj7jqWKOltY2ObB/r0ztmJ6Us+DYRclqdF1xa1cj2JuWvUmoqKGT2l1G+NRjtlmprrGoiGrT2pvpKztfTspfuvy00mpr/9zKsy4o5bMPVh3TZ5bqtze0tra2Uj32Nd2h2cbpPpTZONybNCu/pyTfItBvBCw79fQjVt/Vg/itK7W3b9ogjz+/Xd69e18ibv98ymTZ39Mtl3775mS8umK2/u2K3Spe33HRRTK5X+RN02cl3toPTDva+OuPkxVnX5iI3/6Dn/9gjfhdvopp29NPJteUi803W+yR9vCcJpaEvob4nT2JzpqoZInTsSI34vdfivshlR3jeRPuPGEwT1zIm9zlncsrMy+WtPeu+xicN6HNi6dIjGDl96cyZxtFQkWR6Bwi8haJCCFlFMWhDQwRCItEk5BYQoS1kHI05hAxuoiflhMq7oTUFypGhfBG/M6e6BddD92cIaw1fcjYzHtuyoo2RqQOGa+2nphyQ8dlLAdNX3QddLkU3W98hjFt1LwxAmro+8vGFJte8xVdM/32xrDUvDH9auuKjSn0+ui2JWYc23wxfZeWB/E7+3pZC2eGTfxedelZokK4tTlR8fszX/in0t+1ACsrRjy/a7n36it23TizYafxCt/WJ41m40z1D3cP1y+8r8N4h7N5Zn0NgGFszXB6frue2ypsN+7ZLc2Pbkp+6t9Fh/pqJ/7ab2wcqZtH/v/svQmcVMW59/90D7MwzAIMAwKyCLIvIiogiBiDC0oUSIyDUZgbNZCbqLne9+pN8nmTe/N+kpvljYmaRRPjH2PyilkIaFBMiIICIoqorBFEQERkk1mAWbv/9VRzeqrPnHOqaqZ7pnvmd+YDM9Onqs5zflV9zqlv1/wex3+bv2ODAlAACtgoAM9vG7VQFgpAgY6iADy/O0pP4jygABRoiQKA3y1RLX3qpBx+s73J6OGD6H++8SVpdeL8/PXv/YrWbdoaXwmePpLYRwL4ba8ZaqReAQbfoWONlCUSZ4YORSjrw0jCQRl8R3rFkmc29g9RtCQLMDz13dJhjpBs+B2H2lsF3K7kBJPvSO/trA/2S7uSoE1NJFk/djwBbneYYYYTgQJpqQDgd1p2C4KCAlAgxQoAfqdYYDQPBaBAWisA+J3W3aMNLuXw2x0Br/52tqW//BaNGzVEG2S6FwD8TvceQnysgIThxxupy/tRCgsQHhIrw9WNYXi0VxY19gtRBDAcg0ajQEvgtwq4uwiobbp6m21HGgcMiq3c5mSS4ueGseOkPQnDbmxQAApAgbZUAPC7LdXGsaAAFEgXBQC/06UnEAcUgALtoQDgd3uonrxjtjn8Tl7o6dESPL/h+d2unt/Cs5u9tXOEhzdvdXW10tuZX/P6npDwsqKSeoV70UcHP6ChDUNoV+UOmhSaRKsjq2l+eD49FHmIvjLga/TbI4/TDZ+6mdbvWkPDRsPz2/HOVn3GVJ8/1UtM9W1Uvc/Un9Uyal21TfVYqqem6kXo9q5U22pLz+/IW5vpdxvW0JfDudTl4AHaeLpKrtz+1Irlcow++LWv0cIlS6i7SC55WCSQXDFnDi165BEJtdeIJJNRAbQndy2QUHvZkQ9p4tQZdM7wUbKuqpvbM9Hty+j2p3N7kbq9j92/u8vD87spEaLbj9TLvxKe301e5zx2vbxA/Twp/bwnvXxg/bxD4fmd+Izo528Z5Asa5CXp52UJz++/yNwgg4ckJk7l3tB5sMLzG57fzrtW5xVr4tVt4qts0g7HZOLBbeI9a+ppa3I8Uw9eEx9qU49hJLwMZg8mWnMLJmPTOZJpP3N5G99qk/HqxGDTrk28NjpwLDY+1br7jbsnbc6R69r4Rpu+v5yYbMu750fBozS210ZLLm/Tr6bXcXecptdHtZ7NOHbq2fSdVx3Ab5MRlr5lUg6/nYSX7PndETfAb8DvjIXf7oSXO7bRJQOn0kuvP0/zC2+hh4/8lO4O301LIktoXngevRx6hUb0GE3Hs49RpHuIzhk6kDZvQcJLnuR3NvhdsXEdrd35Dt3WIDJE7t9PL0TqadCHh+iilc9STV6eBNz3f//78pKvJppkoP3z66+jz1efpm79BtDhoUNo9cH9NLd8sSzrBs7uhzPAb+9Jk1snr4d+9wOi18O114On14Ml4Lf/5MEvORbg9xvyQ1lOdKxuQRNUPwDkN0kNagvwO/EJHAkvE/UIgq06QNra/SbgQgcqdIkmdTFyDDqIYNKGLg4+jgkgBPx+kOYvWEw5IuG732YKo0z0NoVtgN/BJMNEa27BBvqa9rN83v7H89S337k0fNQ4LXLRvd/VBmzatYnXRgeOR3cdNH228BLH5hy5vg1ANX1/OXHZlje5h7jP2UZLrmvTr86xdNdxd0yA39q3LQokQQHA71aKCPgN+N1h4PeubTRx0jRau/o5mldWLlfZLr7+f9Hv//4rmlf4OVp3Yi2NFF/HxBdv/cXXa9mb6MbRN9Ev3voJfenO++jZ55bSRZOm0rGjRyToGDP+Ilq5fCmVLVgUf2hx9jEEcW6MzkNHSWmf+PGdB7Nc8fC/eVMMsjuvFRYVx8upDyxOe+pN2rnBFxQWx2NR96sPgA5sqaqqiLev3ozV1cEdfeX3qQ8P0l9X/pm+GMkitihZkZdNF+zcRWP+tiphxTaPBV69PWjfPprw1ltUdeFF9IvrZ9FXj52USSY3lPYUXvJ5NGH2PDlu1AdG94Mv4HfzjO3uB3KvyQLg96z4ndwLgPpNJLwmql7wxm+C5jV5APx+Uf7V0bgJFyc8XflNnAC/YzIFTbyDIEXQvqA2Ab8TH/4BvwG/g6aDJiuxTWCiKdwxOZ4pjDIBsqawDfA7GBqYaM0t2EBf037W3UfckZuMV6eODRi2iddGB47FBthi5XfwWLXRkluy6VfnyIDfrYSMqJ4SBVIOvznJ5czpF9Fdt8fAR0fc4PndEXsV5+RWQPUMJ+EXHhb/+DV1ixaFhGd4mCLsG95PJNAUv2NLbwWcxJL8nf+FhEVJ9ra3A5NMskVJ6LzBVDdmPNWKFdwN48bDfzu9uxnRQQEokEQF4PmdRDHRFBSAAhmjADy/M6arECgUgAIpUAC2JykQtQ2bTDn83rpzL/3r139Cryx/uA1Pq20PBfjdtnrjaOmhgIThxxopfJwo/L747gXDOYlm/yxq6BuiaKn4VyKAuP9fcabHiXXAKNhzm4F21oH9lL19K3XZ+o6A2ycl7PbbOMlk/dgLhAc3fx9P9eMuEEknB8YTTLYk4WUHlBanBAWgQCdUAPC7E3Y6ThkKQAEC/MYggAJQoDMrAPid2b2fcvjNnt9B2/Y1SzJbQRE94HfGdyFOIEkKhI9HKXSQgXiUsgQQb7YyXIDvSK8wiUybZ1eIhwHDk6Q9N+NAbobbnGySv+tWcTPYjogkk7x6m3+OAe4LxGvFgZEBfiex49AUFIACGaUA4HdGdReChQJQIEkKAH4nSUg0AwWgQEYqAPidkd0WDzrl8Duz5dFHD89veH53ZM/vO796X9yjmf2uh40cSyeOHZFvjL79B8S9uB1fL8dDLO75PeRCWvn807Rg5B20fPsfaHL9JDoqvqrF1/TQdHoo8hDd1f0e+jutpr69z6WSIefQS288Lz3H4fm9hGbMvI5KevVOSETFXq2h2lqaEu5C+9/ZQrtOV9FnX15Hpw68T09+9rN0z09/KvuHk04uXLKEup88SatuvJEK8gvo4opK2jv+AtrQo4hunHy5hN2qt6TqA+tObqX6A7JP3/qXVtFNt5RTbX0kwa/W7R3p9paF53dTMiIv/0+3Rx48v2P3YS+PYi/94Pkd08vPn1HNW6A+4fj5f9q+7tc+PL+9x7DTB/D8DvZz1XnD6hIt6rx44fkNz++gGZ+JB7eJhzI8vxNVNtXD1L/Z1LucozD1PPbL4+E1XnTXGaeO7nqmtm3jtWzjzW0yXk3uT24dbOK10cGmz7is6ZhpyTlyHSS81DMyeH7rNUKJtlcg5fCbV35/9z/voDnXXpZwdg//Zhn94dmXMt4OBfAb8BvwuyyeuLIZ/HYnvLxwKp04cJhOHamky7pcTj8/+FO6O3w3rY6upn7iqzRUKjD4avp8/y/Q81V/pWFDx1B2SR5t3v5qp0x4+SkBqM85dJCef+t1GnviExr1xhv0amE+hWpqaMaaNbRr5Eh6e8IEunnpUjrZvTs98cUv0uLX3pCruH/Vt5TmjJ5A+UOH0/oD78WT0LkfCAG/Y4n53NDODVPcD/RuHd0fFng9HLsnJoDf3kDQC2QBflPCB1W6STTgd+IDtR/oCJogB8EBv0ldUHtBgBbwG/CbFxv4bTpQp4P/Xvcn97F0MMykDV0cfEwTQKiDJiaxmIA1k3Y4ZsDv2GhBwstgUGMytrkFk7HpHMkGJgN+N/UP4HfwWNXdU9y1bcahU1d3HXcfw/TDMLWe7r7lpYLNBxdOfbUOVn63PbBO5hHbDX4vX7WOvvn9xyjTbU8AvwG/Ab8t4PekqeSsCp9y2ZUSmi+a/x+05sXnqH9Wf+pd1Yv+UfV3mh+eTyujK2mk+MoVX69lbaIbh91Ezx95loYPG0MF/XrQmpefkyvE1Yc950ar3qSdG3xBYTGtXL6UyhYsSlgVqd44nQlOVVUFrV0da1+9GauAVK2nPvCqN0h1wqQ+BKg/c5kvzLmFur27k3771mt085HjVPLWW7Rkwji68c9/pnMOH6any8roAvHayF27aO0VV1A0L48urTpNOy++mLb17EGzJlxCJwYPoWf/sVKenxu8qnEDfk+T+rhhN+A3JYx150HD68HSDQK8JnJeq6W8Hp5NQTfgN+C3Myb9JvhBk13A78SpQxCk1K10DJrQBk1EdTAiaDKug0U66KqDUlj5jZXfQZNrwG/A76uum6vlL7rrjNOA7nqmHsgGOgJ+A35rB+nZAoDfZVRYFGzvqWoJ+G06stK/XLvB769/71e0btPWjF/5zV0Mz+/0H+iIMHMUYJ/w8KFILIHmh+L7cfFdvObeouwb3itEkX6cTDOLIiWhjDhJTjLJiSdzN7wiPbm7fLBf/u61OUkneSV3w7kDz/py6/2420IIeH63hco4BhSAAumoADy/07FXEBMUgAKpVgCe36lWGO1DASiQzgpg5Xc6944+tpTAb2dVt+7wXnYoujrJ2H9j+Tdpz74PZVPnD+5PK5Z817dZv3NRV6wDfiejV9AGFAhQoDJCXT6KCiAu/gkgHhJg3L1FRTLNaK8s8S9EjSUisWY/8XNR+wFxNfkkg24G3Ay+/bbaaZdTVCSZrJ06Pa0gt1+8gN94x0IBKNBZFQD87qw9j/OGAp1bAcDvzt3/OHso0NkVAPzO7BGQEvitSuLn+d1esn3x3h/Q8ROVceDNILykZxE9/sD9niEx/P7xI08HrlAH/G6v3sRxO6sCvBI8dLyRQkcFDD8epSyxUjxUGfUE4hGxQjwqVoVH+mdJKE5F4aTL5l7Nnb3tbWL47bVxksnGgYNkskn156QHleIGAb9TLDCahwJQIG0VAPxO265BYAKBrmsAACAASURBVFAACqRQAcDvFIqLpqEAFEh7BQC/076LAgNMOfxON3mmz7mL/n3xzfEEnDq4rdsPz294fsPzu3We35zkyfGpKyntE/fadrxDc3NzafOmDdqElyOGjKNf/fqHtHj6vbRt52aqPllJl0em07LoMpokvopCRbQssowWdi2nLd3epqpwFV16yZW0ausKGjZ2LA0eMiye1MjX8/sfz1NxZSVd/PFRWnnyKF3wzlYa87dV9OjixXTj8uXSn/vBr32NFi5ZQkXRKP3orrvozuMVlNV/AP204TQtum0RsZWJ2/N7/oLFlCPOU/UUU70DVR9V1dtU9WZ1J25S24Lnd/PEivD8rqWnfvsILbzznvht2ivZDDy//ZNTeXkm+vkle3mB+nkg+/l2evnO+nmHIuFl4tMnPL8T9YDnd6Ie8PyG53fQfBWe3zF1kPAymGrA85sScirpGJCN9zm3ZeNTrcsx4Y7Nxi+d69okTayrbf68HaSNbXluyza5pI2W3L6N97xzbrYxIeGl7h2D/clQoFPB760791LZl79DS3/5LRo3aojUz+s1VVgv2xPV8gTwG/Ab8Ds94PfwUePiN//4TXr8FbRy5dM0qecUKqorouUH/kjlIQG/o1uoWnxND02PJdbMHknn9RlOvz70C7pl+h1UWVBNazb8leYPGka7X1tPhypP0mfWrKUXz+1HxSdP0pSNGxOSUD7ytX+j6w4eoh5DzqfHivLpM1dcQ/kjR8dhOoPtoISXgN/l8rLrBjLuhzNVQ/dDsxs6uh/U3G0DfgN+e01UvaCg3wQN8Dv2oaG6ud9Xzj6/iVPQBNUPOCHhZZPiQQkmgybzgN+JUyjAb8DvoEk14HdMHcDvYPQC+G0HSQG/vccT4PcsY8YZ9Azk14jNBxdOG0h4adwlaV+wTeA3r7Y+cbLKUwwVJKdarZbAb3dMbtsUht8TL5ma6tA9239V+AhLgP/OW9TY0EBd8/Pl72dOnxH/R31/rxR2DNnZ2Qn76+vrqaioiELhEIVCIaqvq6czZ07L9vLzu1E4HKacnFy5n7eoWNUaiUQoKyzgd32deD3RSiInJ4cijRF5HN4nmpRbOCuLamvOiH1ROnW6mjiWIrEStlu3AiosLJR1QllhOl19io4dO0rFYl+hiKtr13wZT5VYdVsh6pw3dCh1yepCDeK839/7HvXu3Yd69uoldThwYB/l5ebRgEGD5f5dO7bTgIEDqUfPEvrkxHE6cuRjGj16HNWJuN98YxNNvHgS5Yg4d+zYRgMGDKIS0c5bWzbLn885py+te2UtjREJB4sKi2jNS6vpik/NpMqqSjooPJwvuPAi2T6fw7kDBtILz/+VbpjzOdqx/R3KFTHwa2teXE2zrv8MbX59E5X26SPb2bF9K13x6atpxbI/0g1zP0sb16+jc0WMvB3l+MaMF8f6O33+5lvpsV/9nO740lfoD0//jq6ZNVuWHT12HB384ACVlvaWsfDqaN5qxafL3D6/5vW9ti6WOTJX9CWX4frcztDzh8uYpwi/6b+Jc7h14e30wI++R/f+xzfk8TkOjofjOnr0Y9kGnxvHclPZF+Jl/7j09zRl2mV09OOPZfsTJ14i4+b43ftYR+cYrBu3Vyr60Tn+M8v/JI+Xm5cbP47zGuvtlHPqjhE2Ik573K98fD6Gc9ziou4ylttv/jK9+errVHnkJM3oPoOe3bOCRlf1ouEfHKOfDd1DX/nDGqqu+ZCeuW4mLXrkEXprwgTaP3iwXNn9wrXXUqEYR5eIcf+nEcNp9NDzaegVV9KTy/9MV4u+4XHo6MUx/vyhB+iORf8qx4ITG2un/qyWUev+7onfxNt0zvv8YcPJed9fKvpqz+53Zb/xmOP3kqM1H0Nti8ctjwce6x+IBJtOv3E59fhq2+721Bj4PfT3VStpwb/cTo3ivaz2QW1tDT326C/oK3ffK8eJ2qY7Lm7H6Uevsk7f8XvRrZu7rqoFl1XHgFfbqia83/27O253e24d3Xq5z5V/V3Xi37cLD3h+//H72tnUseFVx33eXMatkzs2LqP2H//u7ie/eNz13GOGf/eKyd0fXn3i1S82r3np53XuXufKx1HfY47+7n73Oz8v3fk1r/P2O5ZXrF597sSmvled17y099OaX3ePc6cdr372Gje68n7tu98/Tjt+GniNM6eO+31k0pb7PWJSx08Trut+n5q05zW2dOcU1Ae6fX46+b3HnFj8xrCz3+/cdfEE9bXf+0k3zoPet84+v/efuj/onLyu7Wrd1u4PGk/OcfzGr+n562LU9R3vN2kjaIw7sXpdd1U9TfQwicXv2mjTd05Zr2uvO+ag64VT1uue5W6Hfzc5nt811d2eid5+90h3W/I9vGEdLViwkM7UNniFLl8zPU/TcrprhxOI6XnorjfqiemuhzbXGdPrmdqmaT9znaBrfkvGq1PHpl2beE3eo2rcuuugWtZ0zLTkHLmOOsfyfSOc3WEzLrmKbXmuE3QP84rPRkuub9OvzvFsYzK9HqjnY3LddZ+/Td85ddU6hfnZui7H/jRWIOXwW+ep3ZbaJAN+O22o0L7qdH1bngaOBQWgQCsUCO/fT+F3hCf31repy8svy59DFSebtRjNK6aGc8ZSY99x1DB4GkW6D6TGweMpXCw8xEvFh0Sl4kOdgV0oxEk1c9svsWYrpGhV1a65XaiuoVHCb2xQAApAgc6kAE9+8OzXmXoc5woFoAArkJUVopwuWYHwG0pBASgABTqqAoDfmd2zKYff6Zbw0svz+5vff4xMV6A7NihqeSS8zOw3AaLvuApkidX5nIyS/+Wsf0V8905EyT7c9WMvoAaxwr9WrKjmhJQNwwTo5kSaVVEKHRN/5eCTVJPViwoA3tgvTBGRWJMTaqYqsWY69RQSXqZTbyAWKAAF2lIBJLxsS7VxLCgABdJFASS8TJeeQBxQAAq0hwJIeNkeqifvmJ0OfrttS9wr0/l33lYs+a78zrD8leUPxxX3WskO+J28AYmWoEBLFQiznY+A2zHIHQPeDL/dmwO666ZNp/pxF1D9mHESdptsIeEaEzreSKGjUQofj1LWMbHquUoA8pibTMIWFU400V5Z4p8A4yXi51Lxc0GI+PWOsAF+d4RexDlAASjQEgUAv1uiGupAASiQ6QoAfmd6DyJ+KAAFWqMA4Hdr1Gv/uimH3wyLZ06/iO66fV77n+3ZCDimPfs+lL+dP7h/HHTz7274rZbl/ZMnjqLHH7g/fi5IeImEl0h42T4JL19e8Ue6tT5K/zj8AQ16fx9dtPJZ+u//+i/6tvi3ccoUqujena569VV6ovxf6NJoiPImXETLjn1EZV/8SkLWajVZhpPUqKqqgtaufo7mlZWTmn1aTeam1lv2+yX0qeFXU5+63vTktsdobtY8KhYJNh+NPErl4XLKFV8PRR6iu8N3y1XiD598kP518r0U6RWmx//+MM1fuJg4KaaaUENNnKMeS01UpiZ5rKqsoJXLl1LZgkXy+qS2pcbtTjCnJnJS23a3p8bASWrWv7SKbrqlnGrrI6QmVnMnanEnVlPjcie7QcLL5hnb3UnrvBIEuRMveiURdCeF8Uqo45Vp3SuZjDv5l1dM7gSkPCa9kh56Jd4zfc0rXq9z90sehISXTY9lfkmDbF9HwssDtHnTBpo9t6zZM29Qksmg5JRBCZ2Q8DImc5C2vF+XiA4JL5HwMmiSioSXMXWQ8DIYZeiuM05tm0SPfsmivSIJuo+4y9skCrRp1yZeGx04fq8k4349EpRMu7XauedYwaOCyDaBpW15Pn7QPcwrPhst/Z7fdedtG5PXM73uGDbj2GkLCS91qnbs/SmH32wT8uNHnk5YPd2RJAX8BvwG/E49/N7y0t/oc1m59NwhkWR085tUIpK8rpgzRyak5O+D9u2j8e+/T//n3/6N/tfhY/TamDFU2bUrTZrz+fjDUkFhcRwOqw9nSYHfS5fQjJnXiWSpvePQuSi3mJ5Y8iDdcvEd1LUih36x4ycSfvPmgHD+mQH5wjwByIu60pJPHqcbJnyeCnt3pz+++luacXWsTcDvWDJY9UHK/dDshq3uB3A3HHFDOvfv7vLu9twP1u4PC7wejt0TCK8HPffDIuB37InBC24BfhP5TR79JqB+cNoWcvuVB/wG/B42ciwNHjKs2aO+DkYETcZ1kATwe73Ue+KkaZ5TLK/7k7ugDiKYtKHrBz6mCSDUQROTWHRjhmMxaYfLAX7HRgvgdzDBMBnb3ILJ2HSOZAOTbSC17v2unqlNuzbx2ujA8dgAW939xt2TNufo9XwfNDJsYbZteT627prpjs9GS65r06/OsWxjAvwOvr5gb3IUSDn8Zs/voM3Uazs5p5v8VgC/Ab8Bv5MMv//2LM0fNIxWvfEqjd+6jQp276KXL7mEFi5ZQk+XldEFb71F3U+epOVl82nBx8do5fhxdM55Q2nozFnxm796k3Zu8G0NvwuLBPz+9YM0f0FsVbfzEMB2KY8+9SP6yoX3Sj/xX7/3CyoPxVaHL4ksoXnheVQkvp6KPEWfzp1JJb370HOVf6Xh/UfT4JHD6I39G0XGodgkFyu/Y6vzeQP8nkp9+8c+JMDK78SVt1j53fTsA/gde484W9AEOQgO+E3qgtrDym//Dwa4PwC/7/OdpOhAhQ46m0BeHQwzaUMXB5+gCSDUQROTWEzAmkk7HDPgd2xoAn4HcwSTsc0tmIxN50g20NEG4Ore7+qZ2rRrE6+NDrp7hLtnAL+Dx6runuKubdOvTl3dddx9DMDv4D7D3uQokHL4nZww07sVeH6nd/8guvRWQPpzbxVe3RvWye/8u3tjT+76sbFklJyUkpNTsnd3R9mkl3i18BH/MEJhAcRJJNgMi39eXuJ8zuwbzpYpUZFgM1IokmyWcrJN8Xsb+onD87ujjD6cBxSAArYKwPPbVjGUhwJQoCMoAM/vjtCLOAcoAAVaqgA8v1uqXHrUA/xOQj8AfidBRDTRKRRQk1LGElO+Tfyae6uddrmE3Ay7GXqbJqTscCJWRijruADjAoiHBAwPSrDpQHEqDIsEmwKKi0SbVMRQXCTZFD7jyd4Av5OtKNqDAlAgUxQA/M6UnkKcUAAKJFMBwO9kqom2oAAUyDQFAL8zrccS420T+K0mjfzuf95Bc669jNgOxZ08MlOlBPzO1J5D3KlWIOvAfrmSO+/5vxqv6mbwjU2jQGuhOK8c75fVKigO+I1RCgWgQGdVAPC7s/Y8zhsKdG4FAL87d//j7KFAZ1cA8DuzR0DK4TeD75KeRfT4A/fT9Dl30b8vvlnC74d/s4z+8OxLGZ8IE57f8PyG53eT5/dzv3uMLq06RZ/s3UPV1VU05e9/oyfKy+men/5Ufp+xZg0dvHQanRxwLk0dO5Ee3ruT7vzqfeT4yZWU9qG1q2M+zo4fXa7wy968Kebh67zGftpOOdWLzvEXS2fPb75lqD5oqpekmoFa9Q40Tni5bCndesWXiAQc/93GX9Pcnp+j4ooCWlfzChWIrwtDF9LB6EHaJL7mhebJu9ej0UdpwXm3U05xHr1W8SpRtzBNnDKNKmsr4glCuZwaA/v0rX9pFd10SznV1kfi/Td81LhmWc3dHqDqObr9/txl3Z50SHjp7RXp1gme3/D8RsLLxIdzP39LeH43T5Dozp/gnuYE+XgG+cjqPFjh+Q3Pb2es6bxiTby6TfyETdrhmOD5HesZeH4HQx94ftslRjR5j6qK2/hU6+437p608TXnuupcRocCbRNY2pZ3zyt18fB+Gy25PDy/H6Xr55QR8wfAb5MRlr5lUg6/eYX30l9+i8aNGpIAv5evWkff/P5jhISXLR8cDijateMdamhooK5d82VjNWdOk3AN9v29qqqCsrOzKS+vqXxDQz11KyymcChEIfGvvr6OamrOCHNh0U5+PoXCWZSTkyP38xaJRikaEb7E4vX6hjrxejjhRLJF2UhjhLqI44TDXCdWLysri2prakT9CJ05fUpmWucLSdf8blRQUEiNok5WVphOnRIA9cRRKhQxFRQWUV7XruK8zlB1VSVx/AMHDaWsLlnU2NBIB/a/RyW9+lCPniWifgMdOnhAxJpL/QcMFrrU0553d1A/kQiuuEdPqvjkhEw0cv7wMWJfnbyYj5twMXXpkiPKbZcJ47idHVu3yJ9LRbLB1ze+QiME1OtWUEScLGzKZVfSqepKeZzR4ydSZ4bfW/7+HN185Dg9kJ9N//snP6En586VgPvwOedQRffudMn27fTbW2+jf+nWnf6Y14UuvOo6Onb0iNSPdXQmOIDfsaSYrYbfy5dS2YJF8r2mtrVx7YtUmF1IF5RMpI/2HaDXD75K83I/S6FKkXwz8iiVh2MJN1+LvibrTg5NpoqcSvpL/TK6dcTt0jrlhV3P0PljxtB5w0bQsSrAb/eDtdck2v1w7H649kru4p70u+t4TRYAv2fF7z9eEx4kvGy6PSPhJRJe8mgISkwI+J34XK4DpK3dbwIudKBCl2hSFyPHoEuAZ9KGLg4+jgkgBPxuSpbuN0s0hVEmepvCNsDv4Dm7idbcgg30Ne1nbtcG4Ore7+qZ2rRrE6+NDhyP7jqoxgz4HTxWbbTklmz61Tmy7jrujhAJL4P7DHuTo0DK4Tev9v7F//xbM/iNld+t70DAb8DvniWlEiQz7Oetrq5WQnp+zet7vdjPW7Yoz2W4/keHDtKg886n3bu20cRJ0+Irqp2blgPwNr70Ao0WHxKc3PoWhY98TENfXktrr7iCFi5ZQv/9X/9F3xb/lnzlq3RpTR0dGjGSKnr2pFFXXhNfPezcaAG/U7jy2w9+iw9teDzwBz3qAyEn1FzyxIN067Q7KachhzbvepXCp6M0KTKJqmoraVlkmQTjvK2MrqSR4mtoaCgd6XaMXqxfTWVjbqO6/Ci99P7f6JyBA2j4RKz8dj58YM0Av7fRVdfNjd/svB6evWCJ6WteD8qA3zG5sfI78RkLK78T9QD8TtQjaJKug76t3c+R6CCBDlTooLMuRo5BB8NM2tDFwccxAYQ6PUxiMQFrJu1wzFj5HXu/AH4nXjfcv5mMba5jMjadtm2gow2k1r3f1XOzadcmXhsdOB7ddVCNGfA7eKzaaBn0TBl0FN113F0X8Du4z7A3OQqkHH5//Xu/onWbtkp7E8f2ZOigflT25e/QDVdPpf/5hvgT/Qzf4Pmd4R2I8D0V4ESUOetfptwNr1DOupeld7d742SUdZddjsSUHXEMCeuUcL34S5CjjQlJN3m1eNDGyTWjvUSizQLxFyKFqU262RFlxzlBASiQ/grA8zv9+wgRQgEokHwF4PmdfE3RIhSAApmjAGxPMqevvCJNOfzmgzoWJ2oAi2+7ge66PeY5m+kb4Hem9yDiZwVMYDcno2wYN55qZs2m+rEXUKS4GOJ1RgUEGO9+JpvOHK2jaEWUQlXi37GItFEJ2hwwHhVQvFHAcSoKU2OJMEXKDVM09scL2KAAFIACaa8A4HfadxEChAJQIAUKAH6nQFQ0CQWgQMYoAPidMV3lGWibwO/MlkgfPeC3XiOUSD8F4rBbrO7OWf+K58puht1106bLf/wzNijgKFBSlEvVZ+plwktnYxuVaK3w+j8hVnwLQM5APFwn4LYhGKccAcWFvziJ1eORQtFWaRZFC8RKcoBxDDwoAAXSSAHA7zTqDIQCBaBAmykA+N1mUuNAUAAKpKECgN9p2CkWIaUcfn/x3h/Qa2/ubJbYkhNhTp44ih5/4H6LcNOv6Nq1a2nY2EntEhg8v+H5beP5XSj8uhs+PEBddr9L+e/tEeDyNPU5fJj2Dx5MI3btorcnTKBLT1bSykmX0OcvupR+tmUj3fnV++K+xZwobdjIsXRCJAzlrW//AbR50waaPbcs7lfp9vUeM/4ieH4viCWzVL3P1J9VL8mUJbz08fzmflSPr/p1ur0wVX9A9ulb/9IquumWcgm/VT9Ad+Ikp82LLpgmwfjSP/6abhh7E3VvKJK+h/849ALNj86XY0pNuMm/L4suo0niq3/euUSFYXr4yE/pKxfeK1eNHxNfL21fRZ/9bLmE4+4kbW7fQbcXqTvxn/t3d3l3e0h4GRvXvHn5NnolzYPn93UiOXPv+POCnyeln7+ml++sn2cmPL8TH8vg+Z2oBzy/E/WA5zc8v4MmcvD8jqkDz+/g6T48v+0SI8Lz23s8mSagVWvb+mvD87uMCovM/3pdnZ8DfrcL9kzaQVMOv9nn+/Of+VQzixMkvGx9HwJ+A37r4HfNuzupxx4Buk+eoJ47tlNtXp4ceLk1NVTRvTuVFBbTvhEjaNCwkbQjFA1OeAn4TSogVWGw+sCr3iDVCVNnh9+cTJU3VZ+EB1+xUnzLxg0UaiSaVDRFgPIordjzR5ocmkTn1gv4LbaHIg/R3eG75c9HxdfqyGqaH55PbKeyN7qXdkR20qzRN8hV4+8c2UJVDZU05cpPy/KA33+RH14NHjJM6uH1cO2VbMYrKZIbBAB+D4zf0L2gP+/0mhQDfsdgivMhqvupyA84+X04ENQW4HeiuoDfiXoAfgN+B83KAL9j6gB+B8/dAb8Bv71GiC3Mti3PxwT8js1tTDZ1HmpSnssAfpsqlf7lUg6/eYX3d//zDppz7WUJajg+4NvXLEl/lQIixMrvLKpvqKNwKJygUnZODkUahf1BdjaFw8LGgPgfUVZWFtUK8BqJRujM6VPEq0v5k7eu+d2ooKCQGkWdrKwwnTp1ij45cZQKBZwtKCyivK5dqebMGaquqqSqqgoaOGgoZXUB/HbD74ZDH1J38e/0vr0SdjPgLj55Mv791PARFOndh8IjRlFFaSlx/Y8OHaRB551Pu3dtA/z+9YM0X6zU5jG2dvVzNK+snFQgCPgdg6ctWfmthd/i+uAGMg6w6tdrIIWqo/ToUz+ixdPvpfDxKJ2oOpqwavy96Hu0S3xdH7peXmu2RLdQtfiaHpou4fhr0U0UzSG6ZMilEo5v2LeWunUvorFTLpHlsfKbEsa6c0EH/PZe2c76eAFVwO8XqVtBEY2bcHHCM4HfSnTA75hMfkCf93m9B4Pen86+oDYBvxMf7AG/Ab+DJqOA3zF1AL+DkQXgN+C31wixhdm25fmYgN+A38FXJ+x1FEg5/O7oK79ZSHh+4w3VXgpkHdhPucKzO+/5vwrf7pdl0kp1qx87nuouuxwJKturgzrwcb08v9vtdMWq8axq8REbJ97kpJvie9Yx8b3u7O+awBiOS7/xXuK7SMbJcJxEEk4k42y3HsWBoUBaKwDP77TuHgQHBaBAihSA53eKhEWzUAAKZIQCsD3JiG7yDTLl8JvtTR558hla+stv0bhRQ2QgW3fupbIvf4cW33ZDMzuUTJQT8DsTey0zY3aSVDLsZujN8FvdGgcOkokpa677DNWPGUf8OzYokAoF0gp+606Q4fhxUUh4joerxPezcDwkknFyYk7dJhNuCs9xhuRRAcfZc5zEa5yQM5ItIHtR4l++6NrDfigABTJbAcDvzO4/RA8FoEDLFAD8bpluqAUFoEDHUADwO7P7MeXwm+VxLE5UqbysUDJVSsDvTO25zIibIXfO+lfkP/5Z3SLFxVTHsHvWbAm9Abszo087QpQZBb91gp9dOc4g3IHjYQHGQ8cEGBfe46FaXQMChDurx0tCFMo7C8gFFOfXAcj1+qEEFMgkBQC/M6m3ECsUgALJUgDwO1lKoh0oAAUyUQHA70zstaaY2wR+Z7ZEwdHD8xue33v+uUP6lvftd6707bzqurnSPzsnN0++9qpIFPmpq2bTO1tep16lvaUfKu+fevlMemHln+lqUZ4TfvXrP0AOthMf7KMx1afplWMf04LfPUkP33473fPTn9IT5eV04/Ll9NKNc2hkSW/6oEcxFY8aR6eqKyknh5emCpeHulrZPr/m9b1e7OctW5TnMvD8vjLBT9XxdYTn9zTpx79y+VIqW7BIjhnVd7atPb/79o8lFFQ97dxJFt1ey26P4dYkvGT4vW3z61R9rJKmDpohLVYOnviA3vjoVZqX/1lptVIpvpZFllF5uDx+01gSWULzwvOoSHxJDbuspn4F59KIPmMkIN9xajsdqj5IV8y4Lg7I3b59bt9er+SSbu9pLx9lt28wEl56J6H08kL20pz7E57fTQlUnUHv9s53Xofnd/OcBurTJTy/vd9PjkZ+70Fnf5CHOZfRefHC8xue30GzPXh+x9SB53fQKNFfZ0yvZ+pR/O6dXpEE3Ufc5YNySbjL2rRrE6/uuu6Owy9xtZcWQflEWqsd17dJmmjr4W1b3j0/Ch6lsb02WnJ5m351jm/rQ67m2DI5By5jM46dNm36zqsO4Ldp76RnOcDvVvYL4DfgdzLg95a/P0eDDh+WNiZHRYLQC956i1649lpauGQJPfi1r9GX9u6npcPPpxlXXktvbH+bho8cIxNVuhNeAn7/kO786n0JN2nnBl8gkqc6MFe9ias3TsDv9fKKyMkpAb+btPB68HM/WFcd+oRWrvoD3Tr1DoqK1eIMyJ/c9hjNLfocFTUWSkC+Oirgt/gaHRotdd4R3UGHxNfM0Mz4neihyEN0V++vxS1W/nHwBepbKoD5SGFjJOxWTlQfozUvx5KxOhvg96y4Fl4THr+JhBcQA/xOTBrkN7Hwex3w+4D8MHv23LJmT5dBgBbwG/Cbn138Nh2o0MF/9/3c6zg6iGDShi4OPq7ugwguo4MmJrGYgDWTdjgewO/YiAH8DoYGJmObWzAZm86RbKCjDaTWvd/VM7Vp1yZeGx04Ht11UI0Z8Dt4rNpo6TUHCm49tld3HXe3AfhtoirKtFaBNoHfnPTyxEk2Wm2+bV+zpLXn0K71Ab8Bv1sCv/dsfZOuiGbRs58coZuXLaOXL7mEBu/bF3u4HDCAxgi3hdUjhtNnrpxFv1/9V7n6lsHtjE/PkhNrkBgNSwAAIABJREFUwO9iWrs6BgDVhzLnRqs+fAF+F5MKpNwPhOqkTp24An5bwm/XSnl+L7tXF6xd9Rz1Lz6XRvYYIwH57v1i5ffJgzQz76p4ck6G33eH747f19zA/CgdpdXiq6zoFuE/HpbJOVcc+BNdNGQK9est/npEWK0cFKvJ39y6ga7/bBOAw8rvR2jhnfckPC8AfjfJYQu5Ab9jH7S6t6AJN+C3/wcDOrChgyQ66KqDUlj5rV9BZwKKdf3A/azrCxNoYhKLbszwcUza4XKA37ErHeB3MHIwGdvcgsnYdI5kA5NtIDXgd2Jf2mjn9XwfNDJsV3Lblje5ZrrjA/wuk3+1b7qp8zms/DZVLT3LpRx+31j+TSrpWUSPP3B/eiqQhKjg+Z0EETtBE+zXzYkqc9a9TNnb3kk44/qx46nusibv7k4gB04xwxXoUJ7f6dQX7DteH6Lw0Uh8BTmDcvYiD1WZe5DzKclEnbmcpFNA8rNJOiMiYScn62RIzivJQ7nClzzmmoQNCkABQwXg+W0oFIpBASjQoRSA53eH6k6cDBSAApYKAH5bCpZmxVMOv8dcUU4dKbmlV/8BfqfZqE6TcMIVFZT33DOUs2GdTFTJlibOhkSVadJJCKPFCgB+t1i6VldkD/JobURaq3CSThK/888theQckJqwkwQfJwHJeVU5MRwXSTuj2WfLtDp6NAAFMl8BwO/M70OcARSAAvYKAH7ba4YaUAAKdBwFAL8zuy8Bv5PQf4DfSRCxgzTBK7p5ZTev8GbgrW6NAwdR7bTL6UzZF+R3bFAgkxUA/E7/3lMheagqKiF5WHxvFST3WE3Oq8vdoFyuOMeK8vQfJIiwRQoAfrdINlSCAlAgwxUA/M7wDkT4UAAKtEoBwO9WydfulVMOv9n2ZOb0i+iu2+e1+8mmIgB4fsPze6/w4O5x9Aid98br9Oz06XTz0qX09oQJlFdTQ/2zc2n12DF0pUgg+NbB/dSrtDd1Kyii3bu20dTLZ9ILK/9MV183V/p49+sv/HrFxl5ww0aOlT7N188pk77B8PyOJRBzPOrYpwue39No397dcixdJcaQ27tS9SeD5zeR24vUnZjP/bu7vNt3sVnCSxPP7388T337nUvDR42T73Wv5C5u71m3D6GXV2RrE146kHzP9m300Ucf0BVDr6FwnQhQgPJV+5+lUV1G0ZDQEJm0k7dHI49SebhcuKfE6Lb0IY+spvnh+fHb7HvR92hneBddXzibKEeAcLF6fEvVm1QdqqJLh10Rt155/b0Nok6IJk6fFq/r5Rvr9ZqXfkh4GZPRzyfULyElPL+bJ6gM8kT184iG5/df5PPL4CGJiVN5TOoSkAV5kOo8cnVe0zovXnh+w/M7aI4Iz++YOvD8DiYJuuuMU1t3PVOPAs/vJjVsfKp19xt3T8LzO3hs24xDpyUkvAzWFHvbR4GUw+/lq9bRjx95ml5Z/nD7nGGKjwr43fng99SLp9Lp3bvo0JHDNOnltbRt2DDqfvIkDRIJK1fMmUNzPjxM7wwfRtnn9KNzBg+hVwXE/tRVs+mdLa8Dfk+aSsfEBwWnqitpymVXxjNBOw8dJaV94lDbAQ+5ubnywwHA7xhQUCf5gN+xpKe8qVp4wT/A70Qo5ZVQxwsmuwEgg/IlTzxIX7jmS+IDvhy5mvz4Jx/Ti7tfoLJzb40B8roo7a3YQ7vE1/Wh6+N34S3RLVQtvqaHpsdfey36mvx5cmhyzHpFbK9FN1FUNH1JrynCmzy2qvyNva9K//ILL5kqUHkMpgN++yfOAvxOfPjzmzQHTZABv+d6PkEHTWiDNNPBCMDv5glUnQ7QQR8d/DdJ7KhLgGfShi4OPh8TQKiDJiaxmABGk3Y4ZsDv2EgE/A6GCiZjm1swGZvOkWygow3A1b3f1TO1adcmXhsdOB7ddVCNWXe/cfekzTlyXXdC+6CRYZvA0rY8H1t3zXTHZ6Ml17XpV+dYtjF5PdMHv+P0H9p61bfpO6c+El7qeiJz9qccfrPnd9C2fc2SzFHLI1LA784Bv0f2H0TdDx+ml09X0jWrVlFF9+60b/BgumTTJnrn0qlUWFBIfUaMpn8ceE+uwuXVuDm5eXKVJ+D3Urly3bnRAn4nPqSokyr15qo+RKsPqYDfMUDgfmgG/J5KffsPlNp4PfS7Jzothd/cvhsEeE1gZH/sEH+VcPmNcW/yrQfEyu/KSprWc4aMk5N4vn5UQO3GKE1unBy/w6pA3HnR67UdWTvow9Ah+nSfa+RK8ojwJf+QDtLrhzbSDZfcFPcrr43W0v9b9igt/NI9CXdxr4mqF7zxm6B5TR7c49A5oNex/CZnfpMwLwDjFxvgd+IDG+B3oh5BkNJvDJtMaAG/m08UTACrDhLoQIUOOpvEoINhJm3o4mB1TAChTg+TWEzAmkk7Xvc8r4mrTj+uYwp3TGC7KYwy0dsUtgF+ByMLE629nl+DWjXtZ27DBuCajFcnLpt2beI1eY+q2uiug2pZwO/gsWqjJbdk068mzwpe0ZleH9W6NuPYqQf4HTw2OvrelMPvji4gnx88vztmL3OCyrznnvX072bP7prrPkM1s2YTe3ljgwKdTQF4fne2Hm+D8+XknWJTE3k69iv8OsPyUFWsjGPBYhuVs7o8WhimSAE3JP5xck+x0ly6uIgEn/y9kffxViR+xwYFXArA8xtDAgpAgc6oADy/O2Ov45yhABRwFIDnd2aPBcDvJPQf4HcSREyTJjhhZf7S30nozfBb3RzYzeAbwDtNOgxhtJsCgN/tJj0O7CigwnJhvxISdisMxUPCr1wm9RTfHRsWEr+zZUtLNpm4U1iuSO9yJ7kn25+zJYsLmkcKRBnxBWjeEqUzpw7gd+b0FSKFAlAgeQoAfidPS7QEBaBA5ikA+J15faZG3Cbwm32/v/n9xxKU+u5/3kFzrr0ss9U7Gz3gd2Z3Y+76l6nr0t8Tf1eBNwNudYV3Zp8loocCyVUA8Du5eqK1NlJAAeYMxvlLrihXgDn7mLd2hTmfjSc05x1ipTlv7GUuN7G6nKF6VNi2MGSX9bCltQKA32ndPQgOCkCBFCkA+J0iYdEsFIACGaEA4HdGdJNvkCmH3w//Zhk98uQztPSX36Jxo4bIQLbu3EtlX/4OLb7tBrrr9nkZrSA8vzPT83tEvvib9p076I0exTRl40bKqa2ldy64gAYdPUY9invQm+eKZJVDh1Np7z70+sZXaMSocdStoIg2iuSVnKiREzYeOniARo+fSHv+uYMKi4qlvzf7osHzuymp5ZjxF9HK5fD8zhFJO1UPS/VneH43Ja10+4W6PelU3eD5XR6/d7p1ShvPb5H7gK+HzublGejlEWv6WlslvDxx6AitWfMcfe6ahbGV5LURActD9Mxbf6BL+kyhftnnxleZ7z31Hu2s20GzG5sSffL5PxV5imaGZ1Kp+HK2g9GDtEl8zQslPgetjq6mfl360ahuYxJWm//mn7+gW0ffTrn5eXFwfqz2GK3Zuorm3bAwYcU5PL8THy3h+Z2oBzy/E/UI8pjW+UK3dj9HovO41vmz6ry2dTFyDDrvVJM2dHHwcUx8kXV6mMRi4ids0g7HbOLBrdOP2zH1tDU5nqkHr4ne8Pz2RxG6HAhqTROtubzJ2Ax6bvKL1sab22S8Osexadd0XNrqwOV110FVF3h++49pWy25vE2/OkfWXcfdEZpeH9V6NuPYqQfP7+Cx0dH3phx+T59zF33+M59qBrkZiv/h2ZfoleUPZ7TGgN+ZA79Lqk9RpUjCdlQggvGbN1OdAJIbp0yhydt3UHjQYNres4cE3j16ltCOrVtk8jjA7/viGa0Z/A8bOZZOHDsi37N9+w+gzZs20Oy5ZfGJmzupJeD3gzR/wWKR/BTwe+KkaXLcqA8d7gkA4HdzCOKedHhNmgC/Z8WfI7wmPH4T+1QnvGSblagA5eH6EP35+SfoihFXU6/C3nKlOW8fHv6A3jj2Ks3teZOwZHHsWiL0jxoBv8XX6NDohOejRyOPUnm4XFiSNy0NPyruaKsjq2l+eH5C2S25b1FVpIqmF89IsGpZf3wtFXQtonEDJyZ4nK/atIKGnz+GBg8cRo4vOjfoN7Hwe53vE/xB8bgJFyfE4zdxCpqg+gEgv4l4UFuA34mP2oDfiXoAfgN+B01GTWC0CYQxhTsmxzOFUSZAFvDbv/cBv+0SaZqOS1bc5kMAW2AL+B2M12w+SOCWbPrVOTLgd0Yjzg4bfMrh95grysnL4sSxQtm+ZklGiwv4nd7wO3pwP7378Uc0+IODVCo8vI+VltLhc86hsfv20ZnhI2hzflc5Se/SJYf2vLtdAm/A79hKXOem5cBKwO9ZcuW/A3bUiY46uVDhrjqBwcpvwG83tPOaCLsfFgG/Y48IXrCurVZ++03QvCYPfhNlLwDhNzmTfd77XBo+aIwE5wzGSdi1/H9rfk63TriDcrME/K5i03GiE1UCfn/8As3Pv0X+7iQC3RLdQtXia3poesIz1ivRV6hAfF0YujDh9ZXRlTRSfA0NDY2/zhB85am/0qj80XRe0fmx1eZ8WHH45/c/S8P7itf7nR8rfzYx6PpdL1FBvoDfF16SYN8C+O09hh2xg1bWBUG1oH1BbQJ+J049AL8Bv4MmoyYwGvC7SUFTyG9azhRkmkJ8G5AK+A347XVtsFk9bDMu+Vi25bmOLWgG/C6Tf7Vvuqn9DdsTU9XSs1zK4XdHX/nN3QrP7/Qa3H4e3vVjx9Ppslup7rLLiX/GBgWgQMsVgOd3y7VDTSiQcgXOepur8DwUEn7iNWcTgbo9zhmwi4ShvDkAPRkxxn3PubGzCUMZnkfY35w3Adh5i/ufy9fCsddE8lC5paEPOjy/kzE60AYUgAKZpgA8vzOtxxAvFIACyVQA8DuZarZ9WymH3x3d85u7DPC77Qeu+4g64F1z3WeIE1higwJQIDkKAH4nR0e0AgXSVgElOaiMUfzOAF0mBI3btMSAuWPl4iQKJd4vyiV7i1uyqCA9J3aUEEPysz97wfRGkepDrKNP8EZvaXyA3y1VDvWgABTIZAUAvzO59xA7FIACrVUA8Lu1CrZv/ZTDbz49x+JEPVUvK5T2laLlRwf8brl2ranpB7wZcld/6SsE4N0adVEXCgQrAPiNEQIFoIBOAcf3nMtlVZ8t7UB0BtacQJS3szYuYbEineE6b6kG6XwMz5Xp4vU4POfwnNXpDNbP2q337JVHJ+o42NgK9aj0g+GysVXr2KAAFIACHVEBwO+O2Ks4JygABUwVAPw2VSo9y7UJ/E7PU09OVPD8blvP71NHj1BVVQUNe/99yj55khqys2n3sGHUR/zcU3g31QwZRgdPV1FOTi71HzCYGhrqhZf3DuonvLyLe/Skik9OyAQb5w8fI/bVyQQO8Pw+SIPOO59279pGnJRw7Wp4fvMYc3RQPQnh+T2WBov3GL+H1r+0im66pZxq6yOkesu6verc3rJIeCm8nEeNkzcgeH57+yB7+RF3Os/vfk3jxHla8fKd9fMj9/PY9ktIaZvYst0SXgpwvnbDKupXMoBG9h9DoTq2cmmUEh068gFt3reRbhx1Uxym8+u8Kv0vR/5Ik7MnU/8u58qyDnQ/GD1Im8TXvNC8Zg+FXj7oTqGHIg/R3eG7m9VR21MTh0YLw7SpcqP4BIDo4j5TeAl6bCuM/fDi3heob+m5NKLfmNjrCkRf9cYKGjZktExG6obr8PyOyRXkYc77dUn/4PkNz+9mb2blBXh+x8Rg7+0tr2+g2xYspOOV/n/aY+rlbVoOnt+VNOWyK4OGqNwXlOfBXdnEo96pY9OuTWJEJLz07lJ4fjclsdcNeptx7LRl49fuVQfwW9cr6b0f8LuV/QP4nXr4Xdglm7p9/DHVHfqAqsSfXJ/s3p2G7d5NWbm5VNu3H+3t0YN69ukrE1U2NjbQoYMHAL+rK2VixlOu7/V1sYfVbPHhAO/rWVJKHx0C/B42MgZ1nQkO4Pc0qqqsoJXLl1LZgkVyzKgPGIDfsUng5k0baPbcMqmPWy9+zf2AhYSXb8jrjjqJMwXdgN8Uvz7liHufs3U6+B0wwQ8CJH7JnT7aJ97Hb6yn2VffHE8u6gD1F95+hkaUjqEhhbEkoKGzPun88y92/IS+OuDf5OthsWrdWfn9YcUHvjD9tehrsvzk0ORmT56ro6upn/gaHRrdbJ8fhOdV6ysbVtKonFE0pNv5YhW745EuVqOLVeovHvob9evan0YOHBtvk1/n1etv7H1VvnbxhFgiYt4cj/X3D7xLu/fuoKtumNssFn4hCBQHTUR1ACsoAZcOkgB+r5d9xQsYvDav+5O7nA4imLSh6wc+pu6DCN0Y4/0msejGjGk7XA7wOzZaAL89317xF03GNhc2GZtOozYw2QZS697v6pnatGsTr40OHI9Nkkbd/cbdkzbnyHVtAKotzLYtb3LNdJ+vjZZc16ZfnWPZJuE0/TBMPRebcezUs+k7rzqA38HXwXTfmzL47Xh9L77tBrrr9sQVNUH70l2wZhfLtWtp2NhJ7RK285C5a8c7YhVzA3Xtmi/jqDlzWv4Brt/vDPayxYrpvLym8rxCulthMYUFXGZPz/r6OqqpOSP+Jli0k59PoXCWAMo5cj9vkaiY6kUiFBav14sV1OFQ4p/6ZouykcYIdRHHCYe5TqxeVlYW1dbUiPoROnP6lHyA5Wy7XfO7UUFBoYDXEVEmTKfFCu1PThyn7pWV1P3Qh5R/6hSd7taNTpaWSvg9qFdvCp3TlxobGunA/veopFcfwG+hb52A217Q24HggN8xmKvexNUbJ+B30wQa8DsRJrgf/AC/F5MDYb0mMPv27pZ/TXLVdU0AzevhGfC76QMU50HCbxKGld8xhfz0aRH8dn2IZTqp8pvUJcRw1jNdPvsIy5c3dm4gEovULxl4aRyWO17pL+55gfrlClDdPbby23mdf37+8DM0kgF39tBmyUiDVqcHAfUgEP9e9D3aJb6uD10fl0Ndxf7wyQfj4F8+DxaK/866vjx/8Fka2Xc0ndfj/NizomIVc+iTD+gNsTL/hhk3x9t1fNj5hWf/tpQuunQa9RV/qefedJBEB111UAorv7Hyu9mgU14A/I6JAfgdNErMPtjhFnTXM/UoNtDRBuDaQEObdm3itdGBNbEBtoDfwWPVRktuyaZfnSMDfgf3Afa2jwIpg983ln+TSnoW0eMP3O95Zl+89wd0/EQlrVjy3fY58yQeFZ7fyRMz/6knKe/5v1Lec8/GG40UCzuT626QHt41s2Yn72BoCQpAgRYrAM/vFkuHilAACmS4AmmR8FKB6+F6sXBBJBmVG/+BV21E/siLGeK+6vy7snqd96uQPe6xLttITcJS225Xobus6yQ6PdtQRCQxjZ2o+Menz38U4ayAFz+q8D1+bJcve0IiVG4qNxzzgscGBaBAMwXg+Y1BAQWgQGdWACu/M7v3Uwa/x1xRTkFJLZ0kmNvXLMlsBUX0gN+t60IncWXec89QuKIi3ljttMvpTNkXJPhmAI4NCkCB9FEA8Dt9+gKRQAEo0LYKpAX8bstTVkA7HzaevJR/URKYRsVfBSYAdTdsVxKactUE4M6/OwlQ2/LcDI6lg/DcRHwFvOPnLle9O7/EDuIJ4wVsdxKpOqGoSVTFxxfyLwUA5Q06CkVSrgDgd8olxgGgABRIYwUAv9O4cwxCA/w2EElXBPBbp1Dz/VkH9lPBoz+Tq7z5Z2erHzueTi36CjH4bhw4yL5h1IACUKBNFAD8bhOZcRAoAAXSUIFOB7/bqw9c0D1hhbuIKST81nlj6M6r3HnVe3wFPO93wXcuq8J5/t0N4NNl1buJ5HKFuguwSz1EglX3JlfJOyyeZRM/h0TdKEN61yZBvtfmWjUvj8VtZMcKS0jvHIRfxwp6k27MqDKA3xnVXQgWCkCBJCsA+J1kQdu4uZTB7+lz7qJ/X3wzzbn2Ms9T4pXfP37kaXpl+cNtfMrJPRwSXpp7foeEh3iXk59Q/ZGPiaqrqbqgQPp3dxc/d83No66DzqNG8Z09v08Jj+9PThylQuFDXlBYRHlduwov8zNUXVVJ7Fk+cNBQyuqSBc9vkbCS/bxzRAJL3uD5/UO686v3JXiTOb5mBWIsOQkc4fnd5DOselmqvqnw/IbnN19TvHwh3f6n8Pxu8ij28jpnHb08h/08KeH5HXtO8/PZzRjPb9fjZpAvdZCnapA3a9C+oDaDYvEbw87pdLaEl9XHKuivfxX5QubdGe9RFcJXna6gZ17+A31h6u0S/DrJTzlxKoP4qtpKWr7zD3TbhDu8YbwA9D/b05RAlQ+iJlHlNv9c/SeanDWJzq0/13MSE+ThzhUqxdeyyDIqD5f7ToKC/ONN29DFwe08Jb4+3e0qKs0qbRaLA+1/9kGiHm57m6p6oen+P9Jt599OVJS4ut5p9EjdEVqz52/0ucm3Nj/ns6vt4313bVPfMsyPZMc+VHH684mlD9Mt8xaJZPHikwKPDwD87pXuA5smdDPxGDf14NX53cu5Q20tPfXbR2jhnff4jg/eAc/vQHmMkrlyCzZe16b9zO3aeHPD8zuxL22045o2SRNN319ORLbluZ6tvzY8v8tkzjnTTe1vwG9T1dKzXMrg99e/9yva8e5+X09vnSd4esrVPCrAbz387iKsTLIOH6Ksjw5RuLGRagTIbhSJMKt7lVJFdhfPhJeA32Np47oX6fo5ZfIGy0kaGdzO+PQs2rxpAw0fOYY+OnSQegJ+JzzsOTd/9WER8LtYjiVOhDpuwsVy8sJjaPbcMnlBA/y+WOqgasS/u+EQEl4Oi98AAb9jUnhNHgC/m6416hOT3wQ+KCkV4HdMQcBvPSzqrAkvQ2Kle1T4u7/5tkimKraJF0yV3xNsacTvEvKufZq+MO0OuZ9XyfNqeV4pH2YrGrE9/65IrFp6Nlnp2RX16nuYgfOK9/9IC/oK4KxscqV9XQwWb6p5TX6flDfZ1zf+qchTNDM8k0rFl9/2UOQhujt8t+9+E5h/lI7S6shqmh+e36p2uPKjkUflBwe5bn8apWX54UH2SBqSH0v26rXtCO+kQ7Uf0qd7Xu2531lx/5t//oJuFWA/N0ssbDm7Sl9WUKx03j78JlWLD1amDboi3paXrc6fXvsdXTH6aupV2DtWzsNmp7a+lv7fql/Rv3zmLlmkmQ/+2Q91Pjr8AW3Z+ip9Yd6t9EmVGDg+HwSYQn7TcqbJC22goSn8030YqHakyQcNXB7wO6aajQ5c3rTPuKzpmHH6D/Db97Ild9h8COO0ZAvkTa8HaqQ2H+I49Ww+uPCqA/gdPFbSfW/K4DefOK/+5s29uptfP3GyijqC3zfgtzf8zomIp7WPP6LcY0cp6/RpEgMt9l4o7k6n+/ajhl696MzpU8SrS/mTt6753aigoJAaGyNY+X3sCA0bCfjt3NByc3PjsNZ5jcfM2tXP0byycsDvXdvoquvmyveSs7Kd32rqzR3wuznMdsNuwG8irwdPrPz2n6ABfo+lwUOaPhTh6477feQ8BAN+N78GqRMErPwOBhs6SNJZ4bczhnTn734+8Jqc6iCCSRu6OPi4y55aQjMuvZZKep6FsUowDrR/ZNn/pcXz/ld8j9vepuqMAPGbn6ZbL7vT1yf+eMUR+se+F+jzQ5qv/JbAX4D/ygaxgvxoItBXYb4TwK8qxKroon8RDjO5vsfTrZzntnZEd9Ah8TUzNDOQD5jA9i3RLST+hpamh6YHtmXyYUOtEGNJZAktCi8KbOtg9CBtEl/zQvMCy6nn6WfNww3srNtBHzZ8SDPzr2qWzFY9wIe14rgVr9Lc3jdJf/wI2+w4SW654Nmfaxtr6Xfv/YZuH/6vser8eqH3Xwas2PlHurj/FOpfNCB+KC+7n/eP7qF3D+2gay64ofk5uz5I+NOLv6UrJl5Lvbo3H9tc2bEIOnbiY1q7YRV9dvbCpr8UUf9qRPl527viQ46aSppy2ZWBmvNOG4Cre7+rB7Np1waS6q7r7hMG/PYfArag2UZLPqpNvzpR2sYE+K19i6NAEhRIKfzm+HgF+DN/i61IcLbJE0fR4w/cn4Tw06MJeH439UP+U09S16W/J05i6Wzs3V39pa+IxJWfgY93egxZRAEFWq0APL9bLSEagAJQIEMVgOd3hnYcwoYCKVTAWYnvdwj3ivxm5c563CfY5ygg1O1X767v5XHvLuOA/yAZmvngK4UZJfNfDkTYZz9NE9SmsIszpumgDx10J+GVM0BXx9mfkPj37Lo3rw8qZHmPDzDk6z5WRqYxcDnfvAU2jThlff7CoSVNcR3+y4rY6Ss2WUn4GUmRW9ojdvWw8ttOr3QrnXL4nW4nnIp4Ojv8ZtDNwDvvuWcoLCxO5E2nuFjA7hvoTNkXZPJKbFAACnQsBQC/O1Z/4mygABQwVwDw21wrlIQCUKDjKGCb8FL3gYCjjDuZrZ9i7KVPwuonnuRWFAz6WfeBQcJxPOx+gnrO5IMEtT7/VYH8gEJ62ZjBz0xKwNtxRjnOxEuB1nygYqtoaz6AsT1WvLzzVyWxN2fMcsrj59Kbilp8CFRsfwUAv5PQB50Rfmcd2C9Xdxf+6HvEPzsbg24G3gy+GYBjgwJQoGMqAPjdMfsVZwUFoIBeAcBvvUYoAQWgQMdTwBZ+dzwFMuOMTD908Dob7V8oBEkg/nrBySnA33kz/aDCKZ+Uvyiw/CAj6JSsPkAxGB7OX1Yke+U3PigxED8JRXr87x5JaAVNtJcCgN+tVL6zeX5nVVdT+PgxCol/kXCYwpEI1eXnU0h4dkd696ZoNmdjIZkRPSL8u7uIxJbhsPwjOfl6VlYW1dbUiD+Xi8Dz+/KZ9MLKP9PVwq+ZExD26x/znWMPNHh+l8eTfMHzu3dCwjPVU1NNxAPP7920+6z/Ob+P3P50bi9SeH7X0lO/FT6md94Tvwv8R6qSAAAgAElEQVTC89vbl9nPlxKe3/D8dj9CBiXZCvJDhuc3PL/v/Op9vjMSnT+rzmvbxK9b5wFs0oYuDj5Bk6SAOq9Yk1hM/IRN2uGY/ZLvqh2m04/LmnramhzP1IPXRG/TRJF8fdvy+ga6bcFCOl4pTNN9NtPzNC1nmrzQ9Dw4bN17yjk1JLy08xI3HZfOfNfJ32SCY0z7jNsyHTPOcW18zbmOTdJEm3HJbduW5zq6a6ZbXxst43OqCuE9f+EVJl0ly/z6t/+X7lzQlLtBV/HdPdvooyMHacbUa5slbfar+8LGFTR8oEjU3C8x/0zQsX6/6td0w+Wfp8J81yJNcUkLnU3e7P7A5vfrH6MbL7qZCvIKqc+0Qt2pYH8aKwD43crO6QzwO1+A7LAA1l0PH6ZwbY1ULCo+zW0sEn/20aMn1YoV3uFQOEFJwO9tlJObR337nUuvrnuRPnXVbHpny+vUq7Q3dSsokpBuKuB3/GbtPHSUlPaJJ7JEwkuRFGrmdVTSC/C7b/+BsQepn/2QHEDgnti6JyiA3xto9tyy+HXZPTH3ergG/Ab8diew9AM6fq8j4eWBeIJm9+Ml4Le/NqxV0GRcBzJ10FUHAIPAgQ6Qtna/CbjQgQrd+eti5Bh08NakDV0cfBxdX5joYRKLbszwcUza4XImMFqnH7djCntNjmcKGU30NoVtgN/B0MBEa27BZGw6RzLtZy5vA3BNxqsTg027NvHa6KC7R7h7BvA7eKzq7inu2jb96tS1BfKm10c1Nptx7NSz+eDCqw48v4PHVrrvBfxuZQ91ZPhde6qaqL6eCk6elCu8c2trKSRAeGNJL/kv0qWLWNWdRfUNdYDfRcUSdPMDwlViJTfDbcDvShoz/iJauXwplS1YFJ/YHjt6hE5VxzKXOzdGwO/FYrzkJqwkUB+i1Zs7Vn7HVscBfpfH717uh1ivh37A78RV7n4QxgveYOV38xXegN9NH8Spj5FY+f0X+Zdr7g9RWCMdjAD8xspvU2hiAq1NwJpJO4DfTVc4wG/Abx02sYGkJu9R9Xg2wFZ3v3Gfhw3g57o2ANX0wyUnJtvyXM8WNNtoye3b9KvpddzdB4DfuncX9idDAcDvJKjYkTy//by8a677DJ2efxvVzJqdBMXQBBSAApmuADy/M70HET8UgAItVQCe3y1VDvWgABTIZAXg+Z3JvYfYoQAUaK0CWPndWgXbtz7gdxL07wjwO3vbO9Tt0Z9T/lNPxhVpHDiITpfdKv/xz9igABSAAo4CgN8YC1AACnRWBQC/O2vP47yhQOdWAPC7c/c/zh4KdHYFAL8zewQAfieh/zIZfjPsZujN8NvZaqddTmfKviBXemODAlAACngpAPiNcQEFoEBnVQDwu7P2PM4bCnRuBQC/O3f/4+yhQGdXAPA7s0cA4Hcr+y8jPb8rT1JObR11O+vpfTo/n+qFl3eh8PWOlpRKX+/6+jqqqTkjMlsSdRX7Q8LbO4cTX4pEl7xFolGKivLw/J5Ie/65gwrh+S0TEToeYo6vNzy/H6T5C2J+3qofm/qzmthI9ZCD53fzBGhIeOmdKAme37Pid3Ivn0c//0Sv5FTw/B6W8FSEhJfe/tV+/prw/Ibnt3taYeIrrfNr1fmz6hJNmsSgSxxm0oYuDtbGJCmgTg+TWEz8hE3a4ZhNElDq9ON2TD1tTY5n6sFrorepxzA8v4OhgYnW3ILJ2HSOZNrPXN7Gt9pkvDox2LRrE6+NDhyL7jqo9g48v4PHqo2W3JJNvzpH1l3H3RGaXh/Vejbj2Kln49fuVQfwu5XwtJ2rA363sgMyCX7nM6yurKAKkagyp66O8k+fpmjXfDpdWED14TB1KyyWcDsk/gF+b6G+/QdSae8+9PrGV2jEqHHUraCINq57USZq5ISNhw4eoNHjAb9nzy2Lg13A794JSVDUCQzg9zR5tVUfOtwPvu6Js/vhDPAb8HvipNg48gMJgN8xbfwmKnwP43vZuAkXJzz92EJuJLxEwkuvx+egiagORiDhJRJemkITE2htAtZM2uGYTGC0CYQxhTsmxzOFUSZAFvDbHwbs27ubdu/aRlddN1dLDEy05kZMxqZzMNN+5vI2kNpkvDox2LRrE6+NDhyLDbDV3W/cnWlzju65jG5gmL6/nHZsy3M9W9Bso2XQM2XQudvGZHp9VI9pM46deoDfuhHbsfcDfreyf9MeftfXU+3paiIBurtVi+9iO9m9O2VTiPLEauWoWJFac+Y0NTTUA36/u10C7x49S2jHVsBv56bl3CQYmgwbOZZOHDsix1Hf/gNo86YNBPg9LGElk3pTBfwmcgNtwO9zabj4MI03rwc998Oi+4Hca7KAld9Y+T2vrDzhaQbwO/Hhzm+iFzRBDppUYeW3N6gF/G4+qTABrDpIoAMVuhXXJjHoIIJJG7o4WB0TQKjTwyQWE7Bm0g7HbAKjdfr53fO9pqEmxzOFjCZ6m8I2rPwOhgYmWnMLJmPTOZJpP3N5G4BrMl6dGGzatYnXRgeORXcdVHsH8Dt4rNpoyS3Z9KtzZN113B0h4Hdwn2FvchQA/E6Cjuno+Z11YD8V/uh7lPfcMxSuqJBnyUkrq/7jG8Se3khgmYSORxNQoBMrAM/vTtz5OHUo0MkVgOd3Jx8AOH0o0EkVgOd3J+14nDYUgAJSAdieZPZAAPxOQv+lE/zOXf8yFfzwe8TfnQ0JLJPQyWgCCkCBBAUAvzEgoAAU6KwKAH531p7HeUOBzq0A4Hfn7n+cPRTo7AoAfmf2CAD8TkL/pQP8zn/qSbnSm1d8O9vp+bfJld5Y5Z2ETkYTUAAKAH5jDEABKAAFhAKA3xgGUAAKdEYFAL87Y6/jnKEAFHAUAPzO7LEA+N3K/mtPz+8tf3+Ocje8QlvzcqheJKnsJny9KTubTvXoQZEu2dS1W4E8O/b0jorvXUVyS96qqipEsWzKy4v9Ds/vi6lLlxzaA89v4mRya1c/R+wfC8/vmA6qB5maLE71y1N9/uD5XUtP/fYRWnjnPfL6As/vMioU+RV4c/smwvO7+fjwGjN+r3nph4SXsYcaeH4nPtzB8ztRjyBvZl2CtyAfT3h+N59UmPhK67xRdf6sOq9tkxh0HsAmbejiYHVMfJF1epjEYuInbNIOx2ziwa3Tj9sx9bQ1OZ6pB6+J3vD89ocBuuuhWtNEay5vMjaddk372esZ0/+siEzGq1Mfnt/NlbRJmmj6/nKOYlue6+mume4z0N1T3OVtxqFT1zYm0+ujGpvNOHbq2fSdVx3A76ArS/rvA/xuZR+1B/x2/Lxf/+gDGf2bEydSfdeu1DWvK0UEZHHDbsDvHdRPJLIs7tGTKj45IR86zh8+RiT5rJOAYNwEwO9B550vs5kDfj9I8xcslh8QOR8CAH4vktcZ9QGD30PrX1pFN91STrX1kQSo635oA/wG/A6axHnBEtPXAL/9J9GA34kPd4DfiXoAfifqETRJ1wHS1u43ARc6UKGDzroY3fd4r6mRSRu6OLhdE0CogyYmsZgARpN2OGYTGG0CYUzhjsnxTGGUid6msA0JL4OhgYnW3ILJ2Ax6bvKLwgZSm4xX5zg27ZqOS1sduLzuOqjqgoSXwWPVRktuyaZfnSPrruPuCE2vj2o9m3Hs1AP8Dh4bHX0v4Hcre7gt4bcDvdnihLe1V1xB9eMuoLfP6UP1WVnxld2A3wcoJyeX+g8YLAB3vVjRDfh9qrqSuhUUUX1drRw72UIffq1nSSl9dOggAX6PpcFDhsUnOIDf08g9KQT8fkO+Z6ZcdqV8D7kfrL0m0e4HLKz8TtSQdTQF3V7lAL8Bv00nu4DfiQ+7gN+JegB+61eCmoBiwO/Ys6TfZgp3AL8TFTQFmaYQ3wakYuV3879aDEInNpDU5kMAmz7zekbX4R4bwM9t2QBUm3HJbduW5zq2oBnwu2lhkm5suPsbK79NFEvfMoDfSeibVHt+u6E3hww/7yR0HJqAAlCgxQog4WWLpUNFKAAFMlwBeH5neAcifCgABVqkADy/WyQbKkEBKNBBFAD8zuyOBPxOQv+lCn4z9C741c+p2yM/i0cJ6J2EDkMTUAAKtFoBwO9WS4gGoAAUyFAFAL8ztOMQNhSAAq1SAPC7VfKhMhSAAhmuAOB3Zncg4HcS+i/Z8Juhd/7S38l//DNvgN5J6Cg0AQWgQNIUAPxOmpRoCApAgQxTAPA7wzoM4UIBKJAUBQC/kyIjGoECUCBDFQD8ztCOOxs24Hcr+y+Znt+20Nvx1tu14x3hbd0Az++eJdTY2ECHDsLz2/H4dn+H5/dSKluwKCFxh+pl7fgswvMbnt9u71K3jyE8vxdTTm6uvIN6+TZ6+WR6eUHC83sDzZ5blvAk4uc96eUD6+eZiYSXiQ938PxO1AOe34l6wPMbnt9B00ETD26TxGvw/E5U2VQPeH435ZsJGqc2vtUm49U5lk278Pxu3kO2Ht625fmI8Pz2z7Xg7hEbv3anrloH8LuV8LSdqwN+t7IDkgG/vaB37bTL6eTDj1LjwEG+EQJ+Z1FjQyMd2P8elfTqQz0Av6lOJLTkxJaA302J9RzoUVBYTCuXA367JxHqpE4FIkh4uV5eeydOmia/A343PVi6QQDg98D4fdovOdaypUtoxszrxL2qd7ys34Qe8DsmkR9w8tMnCJAAfgN+u99/qiKA34DfgN+P0MI77wmcFfM1dsvrG+i2BQvpeGWtb1lTqG1aDvAb8JsHm02SRtMx0xLAz3VsAKotzLYtD/gdnGgY8LuVsLODVQf8bmWHtgZ++0Hv6vu+QQy/dRvgN+B3z5JSCbpzcmIrMAG/f0h3fvW+BFAJ+F1MG9e9KD8UGTfhYgL8jsFsVROv37HyO3YH8lodBPgd08ZrIgb43XStUZ9h/FaDBU1QAb/934OOtkGr94JW62Hld+ITNuA34HfQnAsrv2PqAH4Hz8y9PuT2quH3F1teZW1WUtus0MbK70S1bbTjmoDfOkplvxrd9MMw9cg249ipZ9N3XnWw8lvf9+lcAvA7Cb3TEs9vTmLJySwdT2+G3abQOwkhowkoAAWgQKsUgOd3q+RDZSgABTJYAXh+Z3DnIXQoAAVarAA8v1ssHSpCASjQARQA/M7sTgT8TkL/2cDv/KeepMIffQ/QOwm6owkoAAXaTwHA7/bTHkeGAlCgfRUA/G5f/XF0KAAF2kcBwO/20R1HhQJQID0UAPxOj35oaRSA3y1VTqlnAr8BvZMgNJqAAlAgbRQA/E6brkAgUAAKtLECgN9tLDgOBwWgQFooAPidFt2AIKAAFGgnBQC/20n4JB0W8LuVQuo8v93QmxNYVv3HN+j0/NtaeWQieH7D8xue3+Wk+rQ5vp2qRx48v+H5zRdbt8ctPL9r6anfJia48vLbg+c3kZ8/Jzy/mycZcr+vnAcdeH43vwapD4FBfqNBnpbw/I6pGORhzvt1Xrzw/Ibnd9CkDJ7fMXXg+R08ddddZ5za8PyOKWGjA5dHwkv/8Rd0D/OqZaMl17fxnneOZxsTPL9bjQbRgIECgN8GIt1Y/k3as+9DWfL8wf1pxZLvxmv5we9UQm/n4IDfgN+A34Dfu3dto6uum0tVlRW0cvlSKluwSF4i1IQeSHgJ+O2GZF7Z5AG/vSEa4HdzyO0HXQG/D9DmTRto9tyyZk+XQYAW8DsYbOggCeD3ejneJk6KJXR2b+7nA68yusRhJm3o+oGPawIIddDEJBbdmOFYTNrhcoDfsRED+B0MDUzGNrdgMjadI9lAR5ukjbr3u3qmNu3axGujA8djA2yDkml79aLNObrnWMGjgsjreTuojm15bkt3zXQfz0ZLrmvTr86xbGMC/NaNJOxPhgKA3xoVv3jvD+j4ico48GYQXtKziB5/4H5Z0w2/2wJ6OyEDfgN+A34DfgN+l8tL4r69u8nRwutBDSu//0LDRjZBTMBvbwjjBW8AvwG/3Y+KfpO6oAk34Lf/BwM6sKGDJDroqoNSWPmNld9B00HA75g6gN/B0EB3nXFq665n6lFsoKMNwAX8TuxLG+24prrASAfkbGG2bXk+vi1oBvwuo8KiYl3Xxfer/Q3bE2PZ0rIg4LemW6bPuYv+ffHNNOfay2TJ5avW0Y8feZpeWf5wvCZ7frcl9E7LkYSgoAAU6FQKwPO7U3U3ThYKQAFFAXh+YzhAASjQGRWA53dn7HWcMxSAAo4CgN+ZPRYAvwP6b+vOvVT25e/Q0l9+i8aNGiJLNnttyRJq/PZ/UdaB/XJ/Mj29M3toIXooAAU6sgKA3x25d3FuUAAKBCkA+I3xAQWgQGdUAPC7M/Y6zhkKQAHA744xBgC/Wwu/Q6FYC4MHE33720Tl5R1jZOAsoAAUgAJQAApAASgABaAAFIACUAAKQAEoAAWgABSAAhmsAOB3K+H32nnzaMYNN7QL9Ga/cd7efPNNqq+vp27dusnfT58+TdFo1Pf3kydPUk5ODuXn58fLc/3i4mIKCZjP/+rq6mQ7vBUUFFA4HKbc3Fy5jzduPxKJyNe5Ln9XN26/sbFRHof3OfX455qaGlm3urqaOJbu3bvLYxQVFcXb5H1HjhyR+zgujpXjqaiokHWGDRtGXbp0oYaGBtq9ezedc845VFpaKn9///33KS8vj4YMGSLPY9u2beKzicHUq1cvOnbsGB0+fJjGjx8v923cuJGmTJki43znnXdkOW7n9ddflz/369ePXnzxRZowYYKM44UXXqBrrrlGxrFv3z665JJLaOvWrTLOQYMG0YoVK+jmm2+mt99+W8bAr3GduXPn0quvvirj5HZ4/6xZs+ipp56S5bkv+Xi8cXwXXHCBrLdw4UJ68MEH6Z577qEnnniCbrzxRlmW9+/fv5/69OkjY+Fj8cbacvv8mtf32tpaWY77kstwfW5nxIgRMqYZM2bIc1i0aBH993//t/g859vy+BwHx8PH/fjjj2UbfG4cC+9zynKM3AafA7c/efJkGbcTv7qPdXTq8TG5PdbHOf7TTz8tj8fn5hzHeY31dso5dbmPnPa4X/n4fAwnJq7jxKLud9ocOXIk/eAHP5Cx8hhz2n/rrbekRqw9a8C68phR6z366KNyP8fv6MXHc9rjc3BiY+3Un9Uyal21TfVYzvuetdy1a5fsNx5DHLNzfnwMtS01bh63jp5cTj2+2ra7PTUG7l9HH25D7QMeg3zs++9vyovAZThed1zudtTjc1mn75z3hqqbu66qBddV+5h/d7etasL73b+7y7vbc+vo1st9rm6d+Hd1bElxXGPDq477vL10csfGZdT+49/d/eQXj7sel1PHDP/uFZO7P7z6xKtfbF7z0s/r3L3OlY+jvscc/d397nd+Xrrza17n7Xcsr1i9+tyJza17UGzu8eq04R7nzute/ew1bnTl/dr3i8dPA69x5hxbvd44r/H3oLbc1xKnXlAdP024rnotMo3Ba2zpzimoD3T7/HTye485sfiNYWe/37nr4gnS2u/95BzT6xqj6h6krd/7T60fdE5e13a1bmv3B40n5zh+49fZrzt/XYy6vuP9Jm3o4jDpCxM9TGLRjRnTcwq6FqnjIOh64ZTzumepbTg/e13r3eX8rqnucl73OXcZv3uku5zuPWx7nqZ6mB7X9Dx01xv1vHXXQ7WsidZc3mRsOu2a9jOXD7rmu/vSZLw6dWzatYnXRgebPuOypmOmJefIddQ5ltd7WH3NZlxyPdvyJtdMd4y6e0pLrzdqvaD7qpdmptcDta7NOHbq2fRda+roxgX2t48CgN8a3b08v7/5/cdo+5olsqY74WVbdiMSXiLhJRJeIuElEl6Wy8suEl5Opb79B0otvJLuuZMbIeElEl6qzyt+ya9sX9+47kXqVlBE4yZcnPA45Je0KyhBpF+SOb/EVEFt+SV3CqoTlBAMCS/v83zcDdIsSGtuLCgBly5BHBJerpf9MXHSNM9+qaqsoJXLl1LZgkW+0xRdAjyTNnT9wAc3SQqoS95mEotuzHAsJu1wOSS8jA0bJLwMnuWbjG1uwWRsOkdCwssmzW2SNOruN+6eRMLL4LFtMw6dlnTXcfcR3925lT46dJBmfHpWcDDKXt19y6shm2SlTn0kvDTukrQvCPit6aIv3vsDOn6iklYs+a4seWP5N6mkZxE9/kDTqsZhYye1S0cDfgN+A34DfgN+l8vrL+A34LczOd+8aQPNnlsWvy97gX7e6TVR9YI3fhNVr4mYexw6QXgdy29y5jcJ8wIwfrH5TVT84LQt5PYrD/h9gNzjzxkDQWAwaOIdNLkL2hfUZlAsfmPYZEIL+N18OmACWHWQQAd9dNDZJAYdRDBpQxeH33XXrZpOD5NYTACjSTscG+B3rIcAv4On+4DfIjfaW2/QqepKmnLZlVo2YvIeVRvRXQfVsoDfwfLbaMkt2fSrybOCV3SA39q3DAokQQHAbwMRGXjv2fehLHn+4P5xEO5UPXT8jEErKAIFoAAU6DgKIOFlx+lLnAkUgAJ2CiDhpZ1eKA0FoEDHUAAJLztGP+IsoAAUaJkC/PyHLXMVAPxOQt8BfidBRDQBBaBARikA+J1R3YVgoQAUSKICgN9JFBNNQQEokDEKAH5nTFchUCgABVKgAOB3CkRtwyYBv5MgNuB3EkREE1AACmSUAoDfGdVdCBYKQIEkKgD4nUQx0RQUgAIZowDgd8Z0FQKFAlAgBQoAfqdA1DZsEvC7lWIj4WUW1TfUUTgUTlAyOyeHIo0R6pKdTeFwSOzjf0RZWVlUW1NDkWiEzpw+JZPNFBYVU9f8blRQUEiNok5WVphOnTpFn5w4SoWFxVRQWER5XbtSzZkzVF1VSVVVFTRw0FDK6gLPb3h+w/Mbnt/l8toCz294fvM48PJ5hOd30+0Znt+xpLDOhoSXzRMkwvM7cWKg84Vu7X4+ms7jWufPqvPa1sXIMcDz239CCM/vmDbw/A6GBvD8tvOGhue393jye2YNGn26e4i7ru6e4i4Pz+9H6fo5ZZJZAX4HXwfTfS/gdyt7CPAb8HvPP3fIi2HffucSJ5i66rq5xEAyJzdPvvbquhfpU1fNpne2vE69SntTt4IiuX/q5TPphZV/pqtFeU6Q1a//ADka+WFg2MixxJCCL7ScYbhswSJauXypzIDMZYePHCMzIgN+A34DfpfL9w3gN+C3MzlHwkv/CSjgN+A3v0+Q8DLx4T8IHOjAcWv3A343n4jpQI5Oc+dZeu3q52heWewZwWszaYfrAX7H1AP8DoYGgN+A314jxBZm25Y3uYe44wL8joFs041ZDOC3qVrpXQ7wu5X9A/gN+A34XRZfteTcTI8dPSKzfY8Zf5GE9gzv3fs4E7gzweEPDfiDgpLSPuRMVpxVSLm5uRL4z55bFl+ZxDcsp5xTd/iocfH21E+oneMWiL8icGJR96urnZwJDv91gdO+mn1aBUdqPfWBV71BqhMmdTKn/qyWUeuqbarHUqGFCnzdkzi1LTVu90pH9fhq2+721Bj4A5r1L62im24pp9r6iPzQh/uP+8D90OaGLGpc7lUf7rLuhzNVN3ddwG/Ab8Dvpgcav1U6gN+A34DfdrBVB0hbu98EXOhABVZ+N+9Tk1Wlur5zWgX8BvzmhU26DfAb8Bvwu0kB3YeYbq3U+bbuvebs1/3Fklc76jzU9DiA36ZKpX85wO/07yNECAWgABSAAlAACkABKAAFoAAUgAJQAApAASgABaAAFIAClgoAflsKhuJQAApAASgABaAAFIACUAAKQAEoAAWgABSAAlAACkABKJD+CgB+p38fIUIoAAWgABSAAlAACkABKAAFoAAUgAJQAApAASgABaAAFLBUAPDbUjAUhwJQAApAASgABaAAFIACUAAKQAEoAAWgABSAAlAACkCB9FcA8LuFfXRj+Tdpz74PZe3zB/enFUu+28KWUA0KQAEo0DYK2F63dOVbs3/5qnX0ze8/1uzEt69Z0jZi4ChQAAp0agV01y+3OLryuv3c3tade6nsy9+hpb/8Fo0bNaRT64+ThwJQoG0UMLk2qZHoyuv2B13r8OzXNn2Oo0ABKOCtgMn1K1nXwy/e+wN67c2dCYFgntu+IxPwuwX680A+fqIyDrz5TVTSs4gef+D+FrSGKlAACkCB1Ctge93SlW/tfp4A/fiRp+mV5Q+n/uRxBCgABaCAooDu+uUWS1det5/bmz7nLjpxsko2DfiN4QgFoEBbKGBybVLj0JXX7ddd6/Ds1xa9jmNAASjgpYDJ9SuZ10N+7lPnuV//3q9o3aatmPu24/AE/G6B+DyQ/33xzTTn2stkbdzIWyAiqkABKNCmCthet3TlW7sf18027X4cDApAAUUB3fXLLZauvG6/0x5WfmMYQgEo0JYKmF6bnJh05XX7ddc6PPu1Ze/jWFAACqgKmF6/kn091F0X0UttpwDgt6XWXhMXTGYsRURxKAAF2lQB2+uWrjwH7/7TfbWObv//394dvEpVxXEAv/+AYs+ghUEiFTzDzVskhEGraKXiyo0gKaELN220hBaCZRtbuEhKRRAiCkxtEyIUKEJBbSRcJOIiF0FZ1D9QZ+IM4zgz594zc+ee9+bzNtG795zzu59z32H8cufc8HX/UV999VWwud4WBiOwkAKp9W14O5LU+XXWO//wWchbzUUT6FQgtXZ1sdb57NfpLWFwAgsr0OV6GNHPnL9cffH1t5787vAuFH43xG/6h9Owe6cTIEBg5gJN163U+amwJ3V81F63w19FmzmCDgkQIPCfQGp96yIQMjEECBCYtcBqWOt89pv1rOuPAIFRAl2uh6GeOP7JYwf7u0eYqfkLCL8bmjf9w2nYvdMJECAwc4Gm61bq/FS4nTo+KvyOY3r6e+bTr0MCBAYEUuub8NvtQoDAWhBYDWudz35r4U5zDQTKFyhhPTy0b2d15MCe8rHWcIXC74zJHbVf0PFT5yqhTQamJgQIzEWg6bqVOuMKnQYAAAuKSURBVH/a48MXHb8Kax2dy+1gEAILLZBav4ZxUuenjsf+bJO30Lediycwd4G6a1MsLHV+6njTtc5nv7nfEgYksLACddevWa6HcY3zovMybjvhd8Y8NH1TbMYQmhAgQGCmAql1a9f+473xrl482ftv6vxpjw+/ATuMv3FpfXXh9NGZXrfOCBAgMCyQWr9mvR42DYTMGAECBGYhUNpa57PfLGZVHwQI5AjMez30gt+cWWq3jfA70zf8w+jeg4e91s9v3tQPjDK704wAAQKtC0xat4bDnlBMap2b5vhg2zDW9pVlwXfrd4ABCBCIAvNeD0Po8+ivf/oTsLRhnZceuR0JEGhdoKS1zme/1qfbAAQITBCY13oYv+k3qhT7fnd3iwq/u7M3MgECBAgQIECAAAECBAgQIECAAAECBAi0JCD8bglWtwQIECBAgAABAgQIECBAgAABAgQIECDQnYDwuzt7IxMgQIAAAQIECBAgQIAAAQIECBAgQIBASwLC75ZgdUuAAAECBAgQIECAAAECBAgQIECAAAEC3QkIv7uzNzIBAgQIECBAgAABAgQIECBAgAABAgQItCQg/G4JVrcECBAgQIAAAQIECBAgQIAAAQIECBAg0J2A8Ls7eyMTIECAAAECBAgQIECAAAECBAgQIECAQEsCwu+WYHVLgAABAgQIECBAgAABAgQIECBAgAABAt0JCL+7szcyAQIECBAgQIAAAQIECBAgQIAAAQIECLQkIPxuCVa3BAgQIECAAAECBAgQIECAAAECBAgQINCdgPC7O3sjEyBAgAABAgQIECBAgAABAgQIECBAgEBLAsLvlmB1S4AAAQIECBAgQIAAAQIECBAgQIAAAQLdCQi/u7M3MgECBAgQIECAAAECBAgQIECAAAECBAi0JCD8bglWtwQIECBAgAABAgQIECBAgAABAgQIECDQnYDwuzt7IxMgQIAAAQIECBAgQIAAAQIECBAgQIBASwLC75ZgdUuAAAECBAgQIECAAAECBAgQIECAAAEC3QkIv7uzNzIBAgQIECBAgAABAgQIECBAgAABAgQItCQg/G4JVrcECBAgQIAAAQIECBAgQIAAAQIECBAg0J2A8Ls7eyMTIECAAAECBAgQIECAAAECBAgQIECAQEsCwu+WYHVLgAABAgQIECAwXuDM+cvV2UvXnjjh0L6d1ZEDe6pXdx/pHbt55cwT54RjSxvWV1cvnuwdS/X10mv7J07F0oZ1vXHefPvD6vuf7o489+Sxg9XuN3ZUu/Yfr+49eFjF/48nX/nmVnX81Lnq+c2b+nUNd1Snjh0vb6uuXb/db7rz9VeqD959q9G4da7DvUmAAAECBAgQIEBgEQSE34swy66RAAECBAgQIFCQQAxnP//4vWrb8pZ+ZSHEvnHzx354HMLi7SvL1YXTR/vnvPP+J9WtH+70Q/G6fQ2H1MPhdTge+vrj0d9jw+twTgy/h+uKv58Ufg9OQQzLR9Ux6liTcetcR0G3g1IIECBAgAABAgQItCYg/G6NVscECBAgQIAAAQKjBEKoHZ9oniQ0HALfuXu/2nv4xGNPXdfta5bh98al9b0nxGN4H+sKgXgqPK9Tx7jwu+64wm9/dwQIECBAgAABAgT+FxB+uxMIECBAgAABAgTmKhC2LXlhy7OPPdE9roAQ5P5y/9fek97h6ecQAA8+Cd6krzDGpCeu64TGoYatLz5X/fb7n9UzTz/V25IkPI0efsLv2gy/645b5zrmOuEGI0CAAAECBAgQINCRgPC7I3jDEiBAgAABAgQWVSAG0PH6457b4zwG98r++buLj53WtK9U+F1nz+8QQm9f2drb4zvUE+oLT4F/9OmXrYffdca15/ei/mW5bgIECBAgQIAAgWEB4bd7ggABAgQIECBAoDOBuGVILGDUdigxsI4vwxxXbJO+ptnzO4Tf8SWUoZb4NHqTJ65z9vyuO26TOjqbeAMTIECAAAECBAgQmIOA8HsOyIYgQIAAAQIECBBIC4TtQ65dv917mnrwZ9Re36nexvWVevI7tW1J3PYkhN/hBZ1nL13r70HeJHSeJvxOjdukjpSj4wQIECBAgAABAgRWs4DwezXPntoJECBAgAABAqtMIATZn311o/fk9PBPDHXjiyTj8XHhd05fswy/Q31hz/GwH3n4aRI6TxN+p8ZtUscqu32US4AAAQIECBAgQKCRgPC7EZeTCRAgQIAAAQIEphEY3Jpk8Anv+PvtK8tPvAhzUvi99/CJXjl1+5p1+D1o0SR0njb8njRukzqmmUttCRAgQIAAAQIECJQuIPwufYbUR4AAAQIECBBYgwKDL7GMlzduT+/UtidN+kqF33VfeDnqyfUmofO4OuJ2LdEk7oE+uN3K8O0wPK4XXq7BPxiXRIAAAQIECBAgkCUg/M5i04gAAQIECBAgQIAAAQIECBAgQIAAAQIEShYQfpc8O2ojQIAAAQIECBAgQIAAAQIECBAgQIAAgSwB4XcWm0YECBAgQIAAAQIECBAgQIAAAQIECBAgULKA8Lvk2VEbAQIECBAgQIAAAQIECBAgQIAAAQIECGQJCL+z2DQiQIAAAQIECBAgQIAAAQIECBAgQIAAgZIFhN8lz47aCBAgQIAAAQIECBAgQIAAAQIECBAgQCBLQPidxaYRAQIECBAgQIAAAQIECBAgQIAAAQIECJQsIPwueXbURoAAAQIECBAgQIAAAQIECBAgQIAAAQJZAsLvLDaNCBAgQIAAAQIECBAgQIAAAQIECBAgQKBkAeF3ybOjNgIECBAgQIAAAQIECBAgQIAAAQIECBDIEhB+Z7FpRIAAAQIECBAgQIAAAQIECBAgQIAAAQIlCwi/S54dtREgQIAAAQIECBAgQIAAAQIECBAgQIBAloDwO4tNIwIECBAgQIAAAQIECBAgQIAAAQIECBAoWUD4XfLsqI0AAQIECBAgQIAAAQIECBAgQIAAAQIEsgSE31lsGhEgQIAAAQIECBAgQIAAAQIECBAgQIBAyQLC75JnR20ECBAgQIAAAQIECBAgQIAAAQIECBAgkCUg/M5i04gAAQIECBAgQIAAAQIECBAgQIAAAQIEShYQfpc8O2ojQIAAAQIECBAgQIAAAQIECBAgQIAAgSwB4XcWm0YECBAgQIAAAQIECBAgQIAAAQIECBAgULKA8Lvk2VEbAQIECBAgQIAAAQIECBAgQIAAAQIECGQJCL+z2DQiQIAAAQIECBAgQIAAAQIECBAgQIAAgZIFhN8lz47aCBAgQIAAAQIECBAgQIAAAQIECBAgQCBLQPidxaYRAQIECBAgQIAAAQIECBAgQIAAAQIECJQsIPwueXbURoAAAQIECBAgQIAAAQIECBAgQIAAAQJZAsLvLDaNCBAgQIAAAQIECBAgQIAAAQIECBAgQKBkAeF3ybOjNgIECBAgQIAAAQIECBAgQIAAAQIECBDIEhB+Z7FpRIAAAQIECBAgQIAAAQIECBAgQIAAAQIlCwi/S54dtREgQIAAAQIECBAgQIAAAQIECBAgQIBAloDwO4tNIwIECBAgQIAAAQIECBAgQIAAAQIECBAoWUD4XfLsqI0AAQIECBAgQIAAAQIECBAgQIAAAQIEsgSE31lsGhEgQIAAAQIECBAgQIAAAQIECBAgQIBAyQLC75JnR20ECBAgQIAAAQIECBAgQIAAAQIECBAgkCUg/M5i04gAAQIECBAgQIAAAQIECBAgQIAAAQIEShYQfpc8O2ojQIAAAQIECBAgQIAAAQIECBAgQIAAgSwB4XcWm0YECBAgQIAAAQIECBAgQIAAAQIECBAgULKA8Lvk2VEbAQIECBAgQIAAAQIECBAgQIAAAQIECGQJCL+z2DQiQIAAAQIECBAgQIAAAQIECBAgQIAAgZIFhN8lz47aCBAgQIAAAQIECBAgQIAAAQIECBAgQCBL4F/9PIg5Thlf4QAAAABJRU5ErkJggg==",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#The very early part of the reaction\n",
"dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"Detail when [E] init = {E_init}\", xrange=[0, 0.002])"
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "bd0d0518-34f9-4fb2-ace3-c395768d6758",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_curves() WARNING: Excessive number of vertical lines (867) - only showing 1 every 6 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
"x": [
0,
5e-05,
5.25e-05,
5.3750000000000005e-05,
5.500000000000001e-05,
5.625000000000001e-05,
5.7500000000000015e-05,
5.875000000000002e-05,
6.000000000000002e-05,
6.125000000000003e-05,
6.250000000000003e-05,
6.375000000000003e-05,
6.500000000000003e-05,
6.625000000000004e-05,
6.750000000000004e-05,
6.875000000000004e-05,
7.000000000000005e-05,
7.125000000000005e-05,
7.250000000000005e-05,
7.375000000000006e-05,
7.500000000000006e-05,
7.626250000000006e-05,
7.753762500000006e-05,
7.882550125000006e-05,
8.012625626250007e-05,
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AoPMJIH47+NBmF48SKNVPthG/HcCS1IpAU+K3lXENJ/qHixfJwsuvq/3n76redFgj/ex36m7cTt99W/ScdHrbEL8bHmhaXH3I90Od85ky4ncb3aO/mO3UL0PbyBSbIAABCEAAAhCAAAQg4EoA8duSmKuglVwsqiqUMKevdGiGvDAq6XQuZeq69I5r/W+1A0mFA0gvxNLxklX6rMWaDieQxGYTyiS9MPdpS56rsmxK254OTZGOw5lccP9x2QNxHFF95cXsTLNV6dM7j031atFW5fvQZ74exwjVV7KsrDYm69O7P9849zVxvFR1qdi5akdyVliO9E60rLaoMpRvi4QPU/tcueovmJK+Nu3mzsqj2x63YUv8/WSZ6f6RFCh+eeNtw/73CaPiIhQl+Tzx9LPD40RSONe2FT1zef0j69nM4qF5heoHrs+7fi6KfJY1HhSxd21b8tlU5zek+ac5JvtcMq2N//LGNvV5+hlLPrtZz3bajvTzkX72XX3j+w5QbUn7IG2r/nLi3VGsZz2OqXx5O2dNbUv6UIchyusj6S9GXG1J+zCrHtvxvqg/qHtZcwbFUl3JX6HYjP15Y2RyDHLtI6rMdD/J+zIwnU61wzZWdlbM7/QvIVzfQVn9NOs94DJGddOvM0x9k/sQgAAEIAABCEAAAhBoIwHEb0uvaAHD9vCipDCSXDhl7QJSizMVMiW5aNULtmRelzK1aJIWDbJCMmibsuxMtjcrxIPtT3rzxG9lp4lPkYuy6leLUnWpHblZHIs+U/mSbS4ST9KLecX24OnT4kO6sn7ynlVvcgGdFrvTh5cV7ezTIkeWSKTuZYnyWQJ41mFzWSJOCK5aBEkKtll9Lqs/ZPlJpct6bos+S/vfcngYlczWZpUpKWJlCSxZz2vWL1AUu+OiQx2TB8Rl8cwbx5TNX/+7D8VxyvN2R5fpBy5jV1771Jd2pi/aTOFvXNqWfDbTfVJ/SZX+PP382Povq59lfeGa9dwVCWtZ4abS/dPkm6reAemxOqt92t7k2FQkVituyfdmum1Zu4i1X7O+IEs+gy62FPkvWabLeJ839hQ9w2keNmN/Vp9K12HqI1lfNqe/2Mh6V2eNlS5zLRfx2+XdntX/ku971zEq5K58n3cUeSAAAQhAAAIQgAAEINBrBBC/LT2uF622P1017Za1CYmgFkzqUmFU1OVSZtaiUJWRJb7niSeqjP+6675YXCiqOyv0Qxpr0c7vdNgI211SeW1M1p236EyLpXk/tc5qt81CNk9kS4fnMIm2yf5mEr9t+pRmkxUmxEUYDME1z+82/SuPY16b0n2n7E/Tk7t7bb8gU74o+om/KXb1q2fsV3gAqc6f7EM2z1aIfuAydhU9O+mxIj3OmMLfuLQtr0/ljTvpz8v6r6hPJp+JoudG/eIo/cWX9oXup0W+ST7nZd4BRSySbcnzT3q8yWOTZWOaj36vJg9EzXpWbG3Jm0KYdn4nD8R1GX/y/G3zXlK22r6DlP1/uPPP8RdqLs9v3vORZpz3fJUNe1K08zv55aDLuz39pZrrGGUalyynoSSDAAQgAAEIQAACEIAABDwJIH5bgqtD/M76Wb5pd5o2P73gy1ucpRfZJlEiGUdZ7y52Efe0fSHE77w2Jl2aJxSk2+0ifpsExCKhIL2Irkv8zgoNojglhTEXYTAEV93/fUKNuIQ3yPoSyEV8Mg0ZLgde2jx/WWFf0l+MJduUtk8/r7aiUoh+4CKe6R3rLl/m6DYnv7DL8pNL2/KeTdvP89Ipu7L8l7Y3+auAotA/PmKoyqOfM5OonRTQfd8ByZ3DRV8g2wrORV98psvI+hJXh5k6/g2z4l8IKV9dd8OtW+0iz/oljK3IHEL8LnqG8+wyjf3JL+7yflnh8vyanjE9HuXZaztOqefFZed3et5i80WJfibTwr3rGIX4bXprch8CEIAABCAAAQhAAAJhCSB+W/LVixdb4ddlsajLToehKCMY5wkiaZEvKx5tGklSeMmKIWqKyazFnmQYDxc+eS4qI0Knf+ptK34X2Z1eKBd1LS0AhRa/kwJaUtjIqtckWtiIZb5cNausL4Bsfm2R1Z4iESX90/oqxW/VFpsvZlS6IhvzRCvNKvnFmH4uk6zSZdu2MUQ/cH3es+JK24y9bRK/XfyXN1Ykn98sv6vP8sbBrGcpWY/+csFF/Nb1Fb0j8tqSFMCTaUyhY7LeH0UCdDqURvILx2t+dYvccff98a+pkoK3Km+3XaaO+iWFrRBvam9W2JP0O9P22SxKl2biMvZnzQNsQs9k9b+sOUKSkeaRx7cp8TuvfyZtT45BLmMU4rflRJtkEIAABCAAAQhAAAIQCEQA8dsSbFZ80qKsLmKP7SLbpUxb8Tvr596WSIaFu7yD3pLllBHy8+yxERhD7FC2Fd1txLrQ4nfeDsky4neR4FZmR33az0kxwhTruU07v1U7smLZZvVjm53fprbnCWK2vkjbZSt+u/QDl7Eri5MW1ExftJlEJpe22e7w1vam05tssR1nk+l0mcld8UU7v1VeHTYrr74i35hCS+k+ZvMOSNev+21SZLV9F7rs/E6GeflFdL7GoQfuO+o8CNWn1IGm6fHa1hYXri7jfVa5LuK3y9ifrkvntfnCM+tXZ6aQTHqMzNpZ35T4rcczn18e6bzqz6wxKsRY4DN+kAcCEIAABCAAAQhAAAK9SgDx28HzeqdP0U5UtWj8x8+e7RQj0/Zn6y4CUt7OOJeY30k0akGqdm4nY2aq+yZxRJcRQvwuqlvHkQ0RmzqvzGSMVBthXrFxEUOKdrXa9iHtj6x680IxuMRGTZfrsqNe7cpMx3QuCh2R7J956fL8UEXM77xnQgshWYePpoebIqHHVgTKa3tW/qIvxWYe8qr4wMsQ/cBl7NJjaJKV687YPJHcpW1lxW9b/+W9glT9Jx4zO/ZJ8kr3afXvLLHR9tkp8k2yrjLvAOU/JXS+MTqUNXmlx1Jbwdkl5reqT5ebjPNd9HnyXvrLgybDnhT5Km2X7bsv63nTY5jNrwPSY4rtnMAUG9zmy+Oqw57Y+tZ1jLIt12E6SlIIQAACEIAABCAAAQhAwIEA4rcDLL0gViJwemGW3sXmIvZoUT25w1N/5hvzOx1+QtmeF3dV257e8aTSf+gzX4/joOry0nF41cLXRuQLIX7r9qTrT8azzbI7i42tSKs4ZpWZ3F2oviDI46VFBe1rF/G7SAA0HXqX/MJG16lsSYqEebZk9eWqueb50nYHtYljsm+nQ54oDrbianK4yPOxDjdh2qWc7Et5Qk9e/HBl7x+XPRB/0VbUn1UdybKzwjfZxqEv0w9cxkPVl9M7ibPGyKyh2xSWyKWPlxW/lX02/st7BWX5KsvXpl3Q6n2V/vWAynPw9GmjDjNMj+26XN2Py7wDst4xWb+mshW/k+/idNgUdU+9s5KXbkv6XaEZZ+1cd7HFti+aximbEE9pvyT7WbIdui7T2J/VR9NjpMvzq99xWUzVc/zu6P2ovgTJ8n9yjtKE+J33HtL97et/96H4yyjXMcr0azHHaSjJIQABCEAAAhCAAAQgAAFHAojfjsBU8rw42clFputiMR0/UpV1WSRwlYmTnY4XqxajauH55Yt+stVPc/PiXWaJhklktofShRC/tR3p2LZZNqXjkKYX1i7it643XWbWz6Wz4p8m7XMVQ9JxhLUwVbS4TordynZlp7qSB9npNqX7oRKWTH052R/KcM2Kb2zzxYqqv2iXa1bfTotMPuK3qtcmJnPREGOzO9hmvEnbobipZ/0jn7toqy/qsmxO86i6H5j6UPKZyPKXS1gN0y5L27ZVIX7bvi/y+khW3PAsUTA5BqZZ5cUe16Kx5q3yqfdN8kqL5ll90fYdkB6H9FiU/LWHq+CcblveeJH1hZeqP0uATb5X2nbgpbYt3W7VJ1RIl+R8ITku6nx5Y39W/Ooy8xlVX1aZ6b6ZftbVfdWWrHEr6xmpeud33pxCfZ4VAz1pU94Y5ftuKXpvcA8CEIAABCAAAQhAAAIQcCOA+O3Gq+NTE3uy411IAyAAgQICNl8oAHCEgGm3PKwgAAF/Ara/jvOvgZwQgAAEIAABCEAAAhCAgIkA4reJUAffV4uu5M49RI4OdiamQwAC1gSyQkNYZ+6xhLwXeszhNLc2AoxDtaGmIghAAAIQgAAEIAABCBQSQPzu4g6SFXLDJo5mFyOhaRCAQI8Q0OOfTRzlHkGS2UzE7172Pm0PRUCHImLOFYow5UIAAhCAAAQgAAEIQMCeAOK3PStSQgACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAQIcQQPzuEEdhJgQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCNgTQPy2Z0VKCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQ6BACiN8d4ijMhAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAXsCiN/2rEgJAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACHUIA8btDHIWZEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgYE8A8dueFSkhAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCECgQwggfneIozATAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAE7AkgftuzIiUEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQh0CAHE7w5xFGZCAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEICAPQHEb3tWpIQABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAIEOIYD43SGOwkwIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCwJ4D4bc+KlBCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEINAhBBC/O8RRmAkBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAL2BBC/7VmREgIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABDqEAOJ3hzgKMyEAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQMCeAOK3PStSQgACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAQIcQQPzuEEdhJgQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCNgTQPy2Z0VKCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQ6BACiN8d4ijMhAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAXsCiN/2rEgJAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACHUIA8btDHIWZEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgYE8A8dueFSkhAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCECgQwggfneIozATAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAE7AkgftuzIiUEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQh0CAHE7woctfrF9bJ6zYYKSqIICNgTmDCuX7abNE5WDgzaZyIlBCoiMHnS2Lgkxr6KgFKME4GpUybI82vWy+D6TU75SAyBKgi8bOokWbFyTRVFUQYEnAgw93PCReKKCTD3qxgoxTkRYO7nhIvEAQio+R9X5xJA/K7Ad4jfFUCkCGcCLICckZGhQgIsgCqESVHOBFgAOSMjQ4UEEL8rhElRTgSY+znhInHFBJj7VQyU4pwIMPdzwkXiAAQQvwNArbFIxO8KYCN+VwCRIpwJsAByRkaGCgmwAKoQJkU5E2AB5IyMDBUSQPyuECZFORFg7ueEi8QVE2DuVzFQinMiwNzPCReJAxBA/A4AtcYiEb9Lwj7//PNzS+jv75e+vj4ZM2aMSF+/bNywXiZts2382do1Qz+XHT9hQvzvdesGZd3goEzdeRfZcerOMn78BHn2mZXRZ2tlv/1nyOMrHpbB6P7MWYfLv/7LInnzKfPlD7f+VmYcMlPuu+euOI3687BZR8iN118jp85fIIGX00AAACAASURBVJd9+2ty2ulnyV133hbXpe7pz1Y+/UScX5Wz/IH74rz/48RT5LFHHxr+XOX59jf+P3nfBz8e57/l5v+QbbebIgcd+pr434u+/01507z5MnnK9vG/k2mz7t9+62+G7dDQrlq0UOYee2Lcbn2ly1Wf//s1/xK3ce9p+w2nU7x+8v1L5N3v+/AoH6x8+slhBmnn6PYr7skr3e7kvaLy8mxL5lf+Un7bbfc90+bE/y6qW2dI+kh/lrUAMtWl82bxzDQu+jCPWVb6LB/nlas+X3rHbfLC8wMye87RRclG3Uv3Q9uM6f5pm8+1TclyVw88J/+2eJHMP/1M2+q2Spf1jLgWVqYNec9CFQsgl35o22aX/mpbpkrn239s6gjBIV1v1rhqY5trmht/da3s9rKXyyunH+Sa1Sm9XgBdecWPC8dXp0ItE1fxXFtWlZmsjv5isi/rnWTKE/J+Xf1bt8FG/LZ5t4dkYiq7bT4ssjfk+Gvi5Hs/lM11iN9t77suPvGdM7rU0URa2/l+1bZVMfeztamu+YStPXWkCzVu1GG7Sx2mtXVeWUnxu6pnuyrmVb9Tq1q7JVn6rLtt/Bp6XnzvsqXy2IpHZO4xJ9iY45XGtk8ifnvhbU0mxG9LVyxd9oDMP/vzsujiz8pB06cN50L8Rvw2CRGmCarNIgPxe+RB9Z3s+E5uykw+qpgMIH5bDtJbkiF+Z/OqSxysa7GK+D36y2C3p6R86qoXeWUtqqt/I36X9ZRfft/3t19t1eQKZTPit5t/fOeMbrXUn9q0tghlEeJ3KLJD5YYaN8Ja7V66rdCYLhnx2511Mgfidz4/2z6J+F2uDzadG/HbwgNHzjtHnlm1Ok6J+M3O73SXQfweIeIqFPu8hH0XMr4TStc2JfsH4nfxAGt6diyG562SIH5nU6tLHET89um1bnlCPDduFsioX4y55g2Rvq7+rW1n53cIL+aX6fv+rtfK0bWFshnx282rvnNGt1rqT434XT/zOmoMNW7UYbtLHbZCY7pMxG8Xylun9Vl329RYxXq3qB52ftt4gTQ2BBC/bShFafJ2fqvsxPy2hEiySgnUsQCq1GAK6yoCde7+6SpwNKYSAsR9rAQjhXgSsBG/PYsmGwQKCTD3o4M0SYC5X5P0qZu5H32gaQLs/G7aA+XqR/y25If4bQmKZLURYAFUG2oqyiDAAohu0SQBFkBN0qduxG/6QFMEmPs1RZ56FQHmfvSDJgkw92uSPnUrAm0Wv09ecK5M3WmKfPeCT3Scs4q01iobg/htSTPPIau+sErGz5skG/fptyyJZBCohsCYMX0yfuwYWTO4oZoCKQUCDgTGjxsa89at3+SQi6QQqIbApAljZd2GjbJx4+ZqCqQUCDgQmLzNuPhXf1wQqJsAc7+6iVNfkgBzP/pDkwSY+zVJn7oVATX/a+r6649+WX53+7JR1e+0w2S5afGF8WdNiN+Lr7tZzv3SpfKFT54h846f440G8dsbXZiM/gde9suYMf3S198vG9avl2233U6kT2TNmjXqDxk/YYL09fXJusF1Mji4VnbZ5aUydeeXyITo85VPPx1/Nv3Ag+TRRx6SwbWDMvuIOfLTRT+St85/h9zym5vl1TNfK3+6+49ywIEHx3/OPvxI+eW1/yrvfPd75aKvXyBnnPk3cvsffh9D+avonv7sySefiPOrcu6/794470nz/pc8/PCDw5+rPBf8wxflox/7dJx/yQ3Xy5TJU+Sw18yK/33pty6St739nTJl++3jfyfTZt3/z9/eNGyH9tIPL/uOvPGEN8ft1le6XPX51Yv/OW7jvvu9cjidYnPpN/+vfOBDHx3ldNU2zSDdG3T7J0yYOOpWut3Jm0Xl5dmWzK/8pfy2xx57ZXbOorp1hqSP9GdZCyBTXTpvFs9M46IP85hlpc/ycV656vPbb7tVBlYPyFFvOLYo2ah76X5omzHdP23zubYpWe7Ac8/JFZf/UM54/wdsq9sqXdYz4lpYmTbkPQtVLIBc+qFtm136q22ZKp1v/7GpIwSHdL1Z46qNba5pfhG9f16+x55y4IyDXbM6pdcLoEU/+mHh+OpUqGXiKp5ry6oyk9XRX0z2Zb2TTHlC3q+rf+s22IjfNu/2kExMZbfNh0X2hhx/TZx874eyuQ7xu+1918UnvnNGlzqaSGs736/atirmfrY21TWfsLWnjnShxo06bHepw7S2zisrKX5X9WxXxbzqd2pVa7ckS591t41fQ8+L777rj/LIww/JcZFmFOqy7ZNNid8HHrVAkkK35qAE8ZfuvKP8/aff34j4XZU/EL+rIllROf7id18kfo+JBO9+2bhhvUzaZttY7F4bid/qGha/1w1GAvhgJHzvIjtO3VnGj58gzz6zMvpsrey3/wx5fMXDkRA+KDNnHS7qkJM3nzJf/nDrb2XGITPlvnvuitOoPw+bdYTceP01cur8BaIPfrvrztviutQ9/dnKp5+I86tylj9wX5z3f5x4ijz26EPDn6s8yYM30ofGpA+YSh/Skb6fdXDgVYsWytxjT4zbra+sg6uyDvhSvH7y/Uvk3e/78CgvFx2ikXcYXrrdyQJNh3KYDh8zHUpTVLe2I+kj/VnWT19Ndem8JpuT7Xc5QND1cEifgzd8Dy/yPUTGtU1JdlUcAJL1jLgOa2XakPcsVPHTV5d+aNtml/5qW2Z6LHTJZ5M2BId0vXUdCMiBlzYeL5emjv5isjDrnWTKE/J+Xf1bt8Em7InNuz0kE1PZbfNhkb2+728Tg5D3Q9lcR9iTtvddF7/5zhld6mgire18v2rbqpj72dpU13zC1p460oUaN+qw3aUO09o6rywOvHShvHVan3W3TY1VrHeL6un1Ay+VwH3fA48M7/DOY6V3fqv7eod4nmCe3EG+6OLPykHTp8XFHjnvHJkz6yC5+dal8syq1fFnZ73rJNlj913iHd760nmyNNL0DnWV/5z3nipZO9fvXrIwLhLx2+ZJqzEN4rcI4veCzB5nEiJME1SbRQbi9wh634WM74SyjHBcxWQA8dttoEf8zuZVlzhY12JVL4CuvOLH8ZfCu+2+p1tHKZG6iue6RPVieueUKds2b9uE07r6t+aD+G3bU6pJ5/v+rqZ2v1JC2Yz47eYP3zmjWy31pzatLUJZhPgdiuxQuaHGjbBWu5eO+G1mVmb9mVc64nc+d9s+2UTMb7Xr+6Q3Hh7v7i66lPh9//JHY7Faic3qUmL2ftNePhwHXAnQK58ZkJ8t/EJ8/8LvXCWX/OBq0SK0Sq9Eby1u6/vp8CoqryojrZGmhXp1/yvf/mlcv7r3kfe9dVhoV/bmlWN+QvxSEPPbgpvuBDpp0vnP/r/PSv/h4+WFQ4n5bYGSJBUSqGMBVKG5FNVlBOpcAHUZOppTAQEOPaoAIkV4E7ARv70LJyMECggw96N7NEmAuV+T9KmbuR99oGkCdYvfWly2iamdFfP7U1/8lvzp3gczhWrNUmmdb3vLG2LBXO/81kJ71gZgVabaGa5ijSfvq/Lmn/156/jfSli/4uc3bFWO3oUewteI3yWpIn6XBEh2bwIsgLzRkbECAiyAKoBIEd4EWAB5oyNjBQQQvyuASBFeBJj7eWEjU0UEmPtVBJJivAgw9/PCRqYKCXSy+K0Pp8zCoXeL54nfSfE9T7T+y4Mr4tAoehd5Vj3pTcUqjUpP2JMKO2nIohC/Q9Kl7CICLIDoH00SYAHUJH3qZgFEH2iSAOJ3k/R7u27mfr3t/6Zbz9yvaQ/0dv3M/Xrb/21ofd3it2qzS9iTqTtNGQ5xovImd35r8dskTquY3+md31WI36odrzts+rB9yZAriN9t6N0WNpx//vm5qfr7++PDLTnwcvuYEQdeZsekJeb3gMyec7TF0zaUxDd+o28cvTIx16qIDUzMb+uuESck5nc2r7piIhPz262/+qQm5vfW1Orq37pmG/Hb5t3u4/+q8rQtbntRu3zf31Wx8iknlM11iN9t77su/vCdM7rU0URaYn43QT18naHGjfCWu9VgG185XSoHXrpxTqcm5nc+P9s+2YT4bTrwUgncSqy2DXtSFEKlzM5vRTcv7EmW8I74Xe55biQ34vd8mTxlSNxOv7DTi1HEb8TvKl7CvgsZ3wkl4veI15ITgyp2/4QQ8RC/Eb9DTwaq+FKrjI0hnhtXe9omnCJ+u3pQpG0+RPy28yHitx0nncp3zuhWS/2pEb/rZ15Hjb5rlTpsq7IOW6ER8VvksFlHVIYe8bszxW9ltdo1nTx3UH2mBWV9GKZJ/FZ5lJD+u9uXjQpNosTz1x12gMw7fk5uzG+bnd8qVrey4ZlVA3Ecb3XpAy/VQZdpYVy1SV2EPansEQ9fEOI34rdJiDBNUG122GQtUrMWQKa69BNhsjn55LiIia5Csc9L2Hch4zuhdG1Tkl0VIhk7v93GcZf+6lKyb/+xqcPlebQpLytNXeIgO799PWSfr47+YrKmbcJpXf1bc2Hnt6mHVHs/5PhbraUjpYWyGfHbzWO+c0a3WupPbTvfr9qyKjY+2NpU13zC1p460oUaN+qw3aUOxG8zrTLrz7zSfdbdZktFqljvFtVz77Kl8tiKR2TuMSfYmOOVxrZPNrHzWzdIC9fJBiZFaRvxW+XNKkeHQimz81sfVKnsuH/5o8NmahuVyH71L387/LmKM37JD65G/PbqsQ1lUjG/+w4cKy/OHduQBVTbqwTqWAD1KlvabSZQ5wLIbA0peo0AcR97zePtaq+N+N0ui7GmWwgw9+sWT3ZmO5j7dabfusVq5n7d4snObUeT4nfnUmuP5X2bo6s95nSeJYjfneezbrGYBVC3eLIz28ECqDP91i1WswDqFk92ZjsQvzvTb91gNXO/bvBi57aBuV/n+q4bLGfu1w1e7Ow2IH53tv8Qv0v6D/G7JECyexNgAeSNjowVEGABVAFEivAmwALIGx0ZKyCA+F0BRIrwIsDczwsbmSoiwNyvIpAU40WAuZ8XNjJVSADxu0KYDRSF+F0SOjG/ifltir9qistHzO8BmT3naOsn0Td+o28cvTIx16qIgUbMb+uuESck5nc2r7piItcVo1MvgK684scyc9bhstvu2QcKu/Ueu9RVPNd2NWWnMr1zypRtm5eY35Nkxco1hbhs3u22vEOka5sPi9ro+/4Owc22zFA21yF+t73v2vpApfOdM7rU0URa09oilE11it91zSdCsfIpN9S44WNLyDy28ZXTNiTF76qe7aqYV/1OLbP+zPMdMb/ze7Vtn0T8DjkyhC8b8bskY8RvxG+TEGGaoNosMjjwcuRB9Z3s+E5uykw+qhDJEL/dBmnEb8Rvtx7jnrqK59q91pEcpndOmbJt81a9yLOtNy9dXV/u6Pptdn7bvNvLtrtM/rb5sKgtvu/vMnzK5g1lM+K3m2d854xutdSf2rS2CGUR4ncoskPlhho3wlrtXrqt0JguGfHbnXUyB+J3Pj/bPon4Xa4PNp0b8bukBxC/Eb9NQoRpgmqzQEb8HnlQfRcyvhNKxO8R9smJQRULINOz4zM8I35nU6tLHKxrpxY7v2fI3tP283lEKsnTNuG0rv6N+F1J93EuxPf97VxRhRlC2Yz47eYk3zmjWy31pzatLUJZVMXcz9a2uuYTtvbUkS7UuFGH7S512AqNiN8ih806wgVtYVrEb8TvyjpThxaE+F3SccT8LgmQ7N4E6lgAeRtHxq4nUOcCqOth0kBnAsR9dEZGhgoJ2Oz8rrA6ioLAMAHmfnSGJgkw92uSPnUz96MPNE2And9Ne6Bc/Yjf5fgJ4ndJgGT3JsACyBsdGSsgwAKoAogU4U2ABZA3OjJWQADxuwKIFOFFgLmfFzYyVUSAuV9FICnGiwBzPy9sZKqQAOJ3hTAbKArxuyR0xO+SAMnuTYAFkDc6MlZAgAVQBRApwpsACyBvdGSsgADidwUQKcKLAHM/L2xkqogAc7+KQFKMFwHmfl7YyFQhAcTvCmE2UBTid0noxPwm5rcpbrEpLh8xvwdk9pyjrZ9E3/iNvnH0iPk94hpifn/cup+6JDSNIS5l5aWtKyZyXTE6iflNzO9kX6+rf+s6bcRvm3d7Fc+2bxlti9te1A7f97cvmyryhbK5DvG77X3XxT++c0aXOppIa1pbhLKpTvG7rvlEKFY+5YYaN3xsCZmHmN9mumXWn3mlE/M7n7ttn0T8NvfdNqdA/C7pHcRvxG+TcGWaoNosMjjwcuRB9V3I+E4oy0w+Vg88J/+2eJHMP/1M75HmqkULZe6xJ8rUnXfxLqNMG5KVIn4jfps6YV2LVcRvxG/Eb9PTWHwf8bscP1Nu3zmHqVzEbxOh0fd954xutdSf2rS2CGUR4ncoskPlhho3wlrtXrqt0JguObnzu6pnuyrmVb9Tq1q7JRkifiN+uz+t2TmWLntA5p/9+cybZ73rJDnnvadWVVWl5SB+l8SJ+I34jfg98hC5vqh9XsK+kx3fyY1rm5JDCuJ38QBrenZ8hufLvv01Oe30s2T8hAk+2XPz+PYfGyNCcEjXW9fOWMRvG4+XS1NHfzFZWPUiz1Sf6X5d/Vvbwc5vk0eqvR9y/K3W0pHSQtmM+O3mMd85o1st9adG/K6feR01hho36rDdpQ7EbzOtMuvPvNJ91t1mS0WqWO8W1XPvsqXy2IpHZO4xJ9iY45XGtk+y83sIrxa/F138WTlo+jQv5k1kQvwuSV3F/O7fY6y88JaxJUsiOwTcCNSxAHKziNS9RKDO3T+9xJW22hEg7qMdJ1KFIWAjfoepmVJ7nQBzv17vAc22n7lfs/x7vXbmfr3eA5pvP+I34nfzvbBBCxC/G4Tf41WzAOrxDtBw81kANeyAHq+eBVCPd4CGm4/43bADerh65n497PwWNJ25Xwuc0MMmMPfrYee3pOlNid+bnt8kG5/eWDuF/u36ZczOY7aql53ftbuiHRUifrfDD71oBQugXvR6e9rMAqg9vuhFS1gA9aLX29NmxO/2+KLXLGHu12seb1d7mfu1yx+9Zg1zv17zePva25T4PXjnoLx49Yu1A5lwyATZ5qRtcsXvLIOI+V27m+qrkJjfxPw2xV81xeXjwMsBmT3naOuH1jd+o28cvTIx16qIgcaBl9ZdI05IzO9sXnXFRCbmt1t/9Ulteuf4lOmah5jfk2TFyjWF2Gze7a7cq0zfNh8Wtc33/V0lL9eyQtlch/jd9r7r4gvfOaNLHU2kNa0tQtlUp/hd13wiFCufckONGz62hMxjG185bQMHXpbzCjG/8/nZ9smmxO/1f1kva3+ztlwH8Mg97hXjZOIRE7fKyc5vD5jdkAXxG/HbJESYJqg2i4ysRWrWAshUl37mTDYnn00XMdFVKPZ5CfsuZHwnlK5tSrJD/C4e5V36oe37wqW/2pap0vn2H5s6QnBI14v4beMJuzRVPNd2NWWnqqO/mOxrm3BaV//WXGx2ftu8202cQ95vmw+L2hpy/A3FOJTNiN9uHvOdM7rVUn9q2/l+1ZYhfldNdHR5ocaNsFa7l24rNKZLRvx2Z53M4bPutqkx9LyYAy9tvFBvGsTvenm3pjbEb8RvkxBhmqDaLJARv0ceed+FjO+EEvF7hH1yslrFAsj07PgM9Ijf2dTqEgfr2qmlF0BXXvFjmTnrcNlt9z19uotXntCTfJNRIZ4bU53p+20TTuvq34jfrj2lmvS+7+9qavcrJZTNiN9u/vCdM7rVUn9q09oilEVVzP1sbatrPmFrTx3pQo0bddjuUgfit5lWmfVnXumI3/ncbftkUzu/zT2m3hSI3/Xybk1txPxujSt6zpA6FkA9B5UGWxOocwFkbRQJe4YAcR97xtWtbKjNzu9WGo5RHU+AuV/Hu7CjG8Dcr6Pd1/HGM/freBd2fAMQv4dcqMXvLIcS87vju3l+A0zid/9zz0nfc6tGFbBxz726mAhNq4sAC6C6SFNPFgEWQPSLJgmwAGqSPnUjftMHmiLA3K8p8tSrCDD3ox80SYC5X5P0qVsRQPzu7H7Qtzm6OrsJzVqvxG/Zvk/WvGPCKEO2+ckPZNKiH8mE3/w618BN228vm7ffQTZN2V42RX9ujv6t/r55hy2fqb9Hn6lLCeYqjbqv/91sy6m9aQIsgJr2QG/XzwKot/3fdOtZADXtgd6uH/G7t/3fZOuZ+zVJn7qZ+9EHmiTA3K9J+tSN+N35fQDxu6QPC2N+b9ok/er/6PsF9f/6sWNluzVrpG/9enlxm23imieuXSuRE2RwwgRZO3Gi7Pr44/KSp56SiVG6p3bZJf7skDvukAf33jv++9wlS+SyBQvk3QsXyo1HHSWv/ctf5I/77icHPvucLN1rDzn8udVy7W67yDs39stFk8bJe6a+VO5Y+2IknG8vr3nVDPnOb34l//vYt8hTE8fLH279rbz5lPmSjN2Zjj+djD2WjpuXjrGZjlOWvp8Vu+qqRQtl7rEnytSddxn2RFbszqwYp+sGB+Un379E3v2+D4/yYlHMprx4wEVxt00xoEzxV01x+Yj5PSCz5xxt/ST6xm/0jaNXJuZaFbGBs54Ra1hbEpZpQ7IuYn5/3BW9VXrTGGJViCFRXTGR64rRSczvGbL3tP2q6BpeZRDze5KsWLmmkJ3Nu90LfkWZ2ubDomb5vr8rQuVVTCib6xC/2953XRziO2d0qaOJtKa1RSib6hS/65pPhGLlU26occPHlpB5TGvrvLo58LKcV4j5nc/Ptk+y87tcH2w6N+J3SQ8Uit9R2X1jxsiY6H/p65eNG9bLpG22lb6+PlkbidsSid7jx42TvkggX79hgwxu3CAvGTtOpm7aLBMH18nKzRtlMEpz4HMD8mhfJJBLn7z+97+XH5x4wrD4/bpbbpE7Dz00FsjVn0oc/9m8eXLmJZfIlz/5SfnwV78qv5s9O26luqc/e3zXXWXJscfKu3757/LnvfaUOw8+WE7574fkwejz3+y6i7x1g8S7zL+64UU5Z9r0eAf6r597RraL7D/o1bNiMR3xe6jzmIQr0wTVZpHBgZcjD6rvQsZ3QllGOEb8Lh5gTc+Oz/DMgZfZ1BC/fXpTdp4qnusy1oR4blztaZtwWlf/1pxsdn7bvNtduVeZvm0+LGqb7/u7Sl6uZYWyGfHbzRO+c0a3WupPbVpbhLII8TsU2aFyQ40bYa12L91WaEyXjPjtzjqZA/E7n59tn0T8LtcHm86N+F3SA4Xid39/LHTnit9R3eOjHd8qzbp1g6J2Mqsd0DtO3VnGj58gzz6zMvpsrey3/wx5fMXDMhjdnznrcFETHrVj+/bf/loO2nOa3PvIf8v0idvKPU8+JrPHTpB/f+E5edfAi9HO77Fy5v3L5Q877RDHHX/97f8lF5z0ZvngFT+VpyIhXu0cVzvI79l//1g4f/uiRbI82mGuP1dozj/vPPlc9L+6fnH88bL9qlUyOxLc1fW1v/1beec118p2O06NxfEvz5opH7vn/qEQLZFw/t1Ng3LKy/eRyVF7Nuyxl9z257ujre4T5dVHjuzyZee3iM0CGfF75EH1Xcj4TigRv0fYs/Obnd+mV2ZdO7XY+c3O72RfRPw2PZlb30f8dmfmksN3zmGqA/HbRGj0fd85o1st9adG/K6feR01hho36rDdpQ5boTFdJuK3C+Wt0yJ+5/Oz7ZOI3+X6YNO5axG/j5x3jjyzanVmW+9esrBpBqXqT8f83vUVu4k65HLlz66TwSNeX6rs0JmTh3GOffjBSCB/TvoH1AGd0Z+RWJ78u/pMpVHXmIeG/ixz6UM/lSieF+tcx0FXadTFQaGjidexACrjY/J2N4E6d/90N0la50OAuI8+1MhTFQGbnd9V1UU5EEgSYO5Hf2iSAHO/JulTN3M/+kDTBBC/m/ZAufqDi98nLzhXpu40Rb57wSfKWdrS3Enxe9xdf5SXHDU7FmmfuH1ZSy2uziwtgieFc1W6+jxPOFc70JXo7nvpQ0JVfiWKx4J4FBpGC+Mb99gzLjp5QGh8qOiWg0N9621jPhZAbfRK79jEAqh3fN3GlrIAaqNXescmxO/e8XXbWsrcr20e6S17mPv1lr/b1lrmfm3zSO/Zg/jd2T4PLn4feNQC+cInz5B5x8/pbFI51ifF720v+YZs/5mPy4unvUtWXfjNrmxvVY3KEs77opAqSjQPteN8q93mkSi+ecqUSBjfQTpRNGcBVFVvpBwfAiyAfKiRpyoCLICqIkk5PgQQv32okacKAsz9qqBIGb4EmPv5kiNfFQSY+1VBkTLKEED8LkOv+byI3yV90GTM7z/c+luZcchMue+eu+K44OrPw2YdITdef42cOn+B6IPf7rrztriV6p7+bOXTT4jKr2KHJ+M+puNPJ2OPpePmNXHg5bSpu8Txy5VAvv6Zp+X7S2+Xs6buOhyKZczDD8mTE8bLdVN3lPf+4pdbhPSR3eb6wM+Ja9eO8nw61nny5opDXy1Xv/5Iec8f7hgK0aJEc/VnFNdcieb/uvpZedXue8ree00b+kztRk9cprh8xPwekNlzRuLAmx5J3/iNvnH0iPk94hFifhPz2/R8EvPbRKj8fQ683JohMb/d+xUxv92ZueTwnXOY6qhD/LaZl5rsbMt93zljW+zPs8O0tghlf53id13ziVCsfMoNNW742BIyj2185bQNxPwu5xVifufzs+2TiN/l+mDTuYOL3yrsybFHzpRz3ntq020NUj/i93yZHAm+6kq/sNOL0SwRsc4DL9Vu8+9de5WcPv0Qmfj8C3Fc876BgfjPFSufkt9Egvk7fvOfQ/HOVw9I36pn4xAtj++6q/xs3jw585JLMvvQ5fPnyyF33CH733PPqPtaBP/+KafI4c+/KHu88OLwYaBJEf2hSZPktnvvljdFX1jkXRx4OULGdyHjO6FE/B5hj/iN+G16kda1WOXASw68TPZFxG/Tk7n1fcRvd2YuOXznHKY6EL9NR79oYwAAIABJREFUhEbf950zutVSf2rE7/qZ11FjqHGjDttd6rAVGhG/hzYvVnUhfueTtO2TiN9V9caRci78zlXxP+rQi4OL34uvu1n+6ZLL5abFF1ZPqgUlIn53jvituove+T5+woRRvadol8uzS++UJXf8TuZP239ILI9EcX04qNppvnj3XeWg+x+QA24f2mGfPhD0sgULZO6SJbL38uWZPTa561zHNNc7yPUu83t33EHunrydvHnyjsPxzMdGYv02r9pXVg4MDpdrOxl22TmYxyyrMa5Csc9L2Hch4zuhdG1Tksvq6BcK/7Z4kcw//Uzv0SrrCyLXwsq0IVkX4jfit6nvIX6bCJW/7zJ+l68tu4S2CaeI3+6ebpsPi1rg+/52p1JdjlA2I367+ch3zuhWS/2pbef7VVvGzu+qiY4uL9S4EdZq99JthcZ0yez8dmedzOGz7rapsYr1blE99y5bKo+teETmHnOCjTleaWz7JOL3EN6lyx6Q+Wd/PpP1We86aVjIViGwk9e+e+8uP1v4hfgjtUn6/uWPikqvrkt+cLUk73s50pApuPidbnDanruXLAzRrtrKjGN+R9e6Nz8hLz1senyw4uN/eay2+qmonQTUjnEdnkXtJI8F8b6+3MNAyx4EGh/wGe3A3yp+efSZ3mWu03TrAaDt7Anda1WdC6DupUjLfAkQ99GXHPmqIEDM7yooUoYPgTrEbx+7yNMbBJj79Yaf29pK5n5t9Uzv2IX4PeRrLX4vuvizctD0aZkd4Mh558icWQfJ33/6/cP3leCtxW/9odaL69CFg4vf3f4oaPF7w+vvlZccNVvWzzhYnlpyS7c3m/YFIqBF87EPPzi0u1yFZlF/RjuI1S5zdSkhPRbU1eGgSlT3vLIOAFUxzJWIngzLsmGPvaJ/7xB/scMFAU2ABRB9oUkCLICapE/diN/0gaYIIH43RZ56FQHmfvSDJgkw92uSPnUrAojfQ/3AJH6b7qsyunLnd7c/Jlr87tvxp7LDOWfKi6e9S1Zd+M1ubzbtawEBvQB69uEnR+8yT4rkkUCuRfRYNI//PXIAqGszdFiWIUF86NDP4Z3lSjjfchiouq+u9OGfrvWRvr0EWAC11ze9YBkLoF7wcnvbiPjdXt90u2WI393u4Xa3j7lfu/3T7dYx9+t2D7e/fY2J348/LpI6X64WWtHZd7L//ltVZSNuq53fO+0wZaud3unCuirmt2qcivt97pcuHdXOL3zyDJl3/JxafBayEmJ+d3/Mb1MMKFP8VVNcvqJ447rvhjjw8lVTXyr77La7qF3m8a7yzZvjP4cE8pFd51+dO0fOufRS2ebJJ42P0o1HHRWnUTHO9bVVHHMlmO8Q7SSP/rxt56myevNGOWL/g8RWMPeN3+gbR69MvOwqYqAR89vY7UYlcIlR71Kyb/+xqcM0htiUYUpTV0xkYn6bPFH+fh39xWRl2+JF19W/NRcb8dvm3W7iHPJ+23xY1NaQ428oxqFsrkP8bnvfdfGZ75zRpY4m0prWFqFsqlP8rms+EYqVT7mhxg0fW0LmMa2t8+om5nc5rxDzO5+fbZ9sTPxeuFDkPe8p1wF8ckdn18n3vrdVTt+Y38l44D7mlM0TPOyJUvJV8PJkPBgNq+nGl4Wn8iN+I36bhAjTBNVmkRFC/N5v/xmy97T9jI9BUkzUh3kOh2VR4Vi2hF5Rwvl/breNyOBaOWqL+J0+/DNd2S2zZ8tzkRB+3HXXjbqVd/CnEsxvmLqDTO4bIwe/6gBrwVwV7juhRPwecQ0HXnLgpWnAqGuxqhdAV17xY5k563DZbfc9TaZVdr+KL7XKGGN655Qp2zZv24RTxG9bz42ka5sPi1rg+/52p1JdjlA2I367+Qjx242XKTXit4lQufuhxo1yVlWf21ZoTNeM+F3OF4jf+fxs+2Rj4rfSSr785XIdwCf3cceJfPKTW+W02fmdzqR14SY3QQcXv9V297e95Q3DJ35qCKrxV/z8Brlp8YU+bmhNHsRvxG+TENFN4rfpwcsSikfFMR8YGIpjvioKvRIJ5//1/HPRzu9Ncuwf74p3oKvLJJj/4vjjZfso/+xbRsfWTwrm+uBPvcNcxTL/2srH5IOvnh2HZlEium1IFsTvEa8jfiN+m8YAxG8TofL3Te+c8jWYS2ibcIr4bfZZOkXbfIj4bedDxG87TjoV4rcbL1NqxG8ToXL3Eb+L+SF+l+tfiN8dLH6Xc33luX3Eb2VEnjZcuYE5BQYXv9XpnVnqvg6FUsepniFh6pjfk255t0y85ufyzPcvl7UnviVklZQNgZhAHQugplBrwTw+6HPLAZ9ZB3/Ggnlfn4x5cLm3qUoEV2J4LJhHf1dX+uBPnYaDP0cw17kA8nYuGbuWAHEfu9a1HdEwm7AnHdEQjOw4At089+s4Z/Sgwcz9etDpLWoyc78WOaNHTWls53fLeJvEb6X1fm/RtaPifbdB/w0ufnf7zm8tfm93xVEy7q4/ylNLbpH1Mw5uWffEnG4kwAJotFe3EsxV7PItO8zjmObRpYV0Lar79gstkqs45fHfo3jpIwL5kJCuDgK1jWPua0eT+VgANUmfulkA0QeaJID43ST93q6buV9v+7/p1jP3a9oDvV0/c7/e9n8bWo/4PeQFm5jfJy84V+5f/ugotzW98Tm4+N3tMb+fu/A52bRqk2x/wSHSv+pheeL2ZdbhFNrwAGND5xJgAVTed0nBXIVjScYv1wd/JgXzviiNyuNzFcUxVzvN1RUL6FvCsrR9lzkLIJ9eQJ6qCLAAqook5fgQQPz2oUaeKggw96uCImX4EmDu50uOfFUQYO5XBUXKKEMA8bsMvebzBhe/VRP1Fvdkc5sMdF4ldmJ+E/PbFH+112N+Fz1vPrHHfOM3+sbRy4r5nTz4M/67Cr2iwrOo3eaROB7HNY/+fH7VM/LDE46XD//jP3oPO5d86ENy0q9vkqnbTo53k6sQLclY5jaieZm45UnDiflNzG9TRybmt4lQ+fumd075GswltC1eNDG/zT5Lp2ibD4ta4Pv+dqdSXY5QNtchftscxF4dqbAl+c4Zw1pVvnTT2qJ8Ddkl1Cl+1zWfCMXKp9xQ44aPLSHz2B4umLaBmN/lvOKz7rapMfRB8PcuWyqPrXhE5h5zgo05Xmls+yTitxfe1mSqRfxuTWsDGIL4jfhtEiJME1SbRUbWIjVrAWSqSz8CJpuTj8pl3/6anHb6WTJ+wgTjE+Qqsvq8hH0XMr4TStc2JSElJwOjwrJEYVj6Vz07JJSruOYZYVn0LvNvnnWWnLx4sez6+ONG/skEydAsNx8wXTZH/vur9RuHYpt77jRH/Eb8NnXCuharegF05RU/lpmzDpfddh/69UQdV+hJvqkNLuO3qSzf+20TThG/3T3ZNh8WtcD3/e1OpbocoWxG/Hbzke+c0a2W+lPbzvertgzxu2qio8sLNW6Etdq9dFuhMV0y4rc762QOn3W3TY2h58WI3zZeII0NAcRvG0oFaRC/Eb9NQoRpgor4PSCz5xxt/ST6LmR8J5RVid/WDUwl/JcffEuOOvR1sqveVZ4Tyzw+/DO69K70ZDE3HnVU/M+5S5YYzUiK5vFO8y3xy9WO8ycmT5Zf9m2U+XvuKxN32Uk277m3PL92g3eoJ9OzYzQ2I4HLlzUu5fv2H5s6QnBI11uXOIj4bePxcmnq6C8mC9smnNbVvzUXm7AnNu92E+eQ99vmw6K2hhx/QzEOZTPit5vHfOeMbrXUn9q0tghlEeJ3KLJD5YYaN8Ja7V464reZWZn1Z17piN/53G37JDu/zX23zSmCid8HHrVAznrXSXLJD64ubH/TQc/LOkfF/Jb/Xi7bf+XQWABSMb+5IFAHgToWQHW0gzrCEMgLzaJqK9pp7muNjmmu8scHgard5VE4GB2qRe8274XDQH0Zks+eAHEf7VmRsnoCNuJ39bVSIgREmPvRC5okUKf43WQ7qbudBJj7tdMvvWQV4ndnezuY+N3ZWOytV+J337I7ZcrFc2X9jIPlqSW32GcmJQRKEGABVAIeWXMJJEXzZPzyZHgWFdN83OoB6XtouWzenL3b3AVxWjhP7ziP45wnd6F3yKGgLgxI60aABZAbL1JXSwDxu1qelGZPgLmfPStSVk8A8bt6ppRoT4C5nz0rUoYhgPgdhmtdpQYXv9UO8KzDLS/8zlVyxc9vkJsWX1hXW4PUo8Tv/v/6tUz+3kkyeMTrZeXPrgtSD4VCIE2ABRB9okkC6QVQMqa5Esfj3eWRMl4U11zZnxWmxbVdWjxXInkc0zz6FY6qWx8MinjuSrT96VkAtd9H3Wwh4nc3e7fdbWPu127/dLt1iN/d7uF2t4+5X7v90wvWIX53tpcbE78XX3eznPulS6XTw54Q85uY36b4q6a4fDZxQTnwcmSg9Y3f6BtHr0zMtSoOALlq0UKZe+yJMnXnXbzfNmXakKw01IGX06buEonkq+KqVOzy9I5ztes8+ZmOb64PBU3a+OVPflI+/NWvysS1a615pXeeq4w69rkO13LBNuPkw1N3G4mBvmX3eTKtdYWphKYxxLfcZL66YiIT87sKbxWXUUd/MbWibfGi6+rfmouN+G3zbjdxDnm/bT4saqvv+zskP1PZoWyuQ/xue981sU/e950zutTRRFrT2iKUTXWK33XNJ0Kx8ik31LjhY0vIPLbxldM2cOBlOa8Q8zufn22fRPwu1webzt2Y+P2pL35Lbr51acfv/Eb8Rvw2CRGmCarNIgPxe2So9F3I+E4oywjHiN/1iHjJXeffuel6ec/2U2VC/xjpW7VKlHCeFs/VzvShz6I/n4vObbC4zj/vPPlc9H/RpQVzvQNdh2pRebSIno59rnaqX/vnpfLKl+8je77ucAtL/JLUJQ7WtVjVC6Arr/ixzJx1uOy2exRjvqariue6jKmmd06Zsm3ztk04rat/az6I37Y9pZp0vu/vamr3KyWUzYjfbv7wnTO61VJ/atPaIpRFiN+hyA6VG2rcCGu1e+m2QmO6ZMRvd9bJHIjf+fxs+yTid7k+2HTuIOK33tVtalxWOBRTnrbdR/xG/DYJEaYJKuL3gMyec7T1o+27kPGdUCJ+j7gm1M7vvaftZ+1/U8LLvv01Oe30s2T8hAmmpMP3tXiuPtC7ynU4Fn04qNr5/bE//yUSy1cN70JXArq6yoZuuXz+fDnkjjtk/3vuicsr2om+ecqUePe5urSQHv9dhXqJLnXYqLo2q53pUZx0fdUlDiJ+W3c774Smd453wQ4ZEb8nyYqVawqJ2bzbHZBXnrRtPixqoO/7u3JoDgWGshnx28EJUVLfOaNbLfWnNq0tQlmE+B2K7FC5ocaNsFa7l24rNKZLRvx2Z53Mgfidz8+2TyJ+l+uDTecOIn4nG5UX87vphldV//M/eF7GfO/vZNINX5bVHz83/p8LAnUQqGMBVEc7qKMzCdS5AOoUQloEj3ebK5F8YED6Vz0bm69FdP1nCBE9j5MWxtV9LY7HwnlfXxwbPbljXe1WV5cS2PXfdR71ebKsJv1C3Mcm6VO3zc5vKEEgBAHmfiGoUqYtAeZ+tqRIF4IAc78QVCnThQDitwut9qUNLn63r8nVWoT4XS1PSrMnwALInhUpqyfAAqh6prrEop3osaC+JT56WkhX+YvioVdtcZaoHod6iQ4eVZc+cFT9XR86Gv89Iayrvw+nT+1WL7KXBVDV3qQ8FwKI3y60SFslAeZ+VdKkLFcCzP1ciZG+SgLM/aqkSVk+BBC/fai1Jw/id0lfIH6XBEh2bwIsgLzRkbECAiyAKoBYUxHJsCzDYV0efije9a12fyd3rKuDRdWld6arv+s86u9lQ7zYNjkZ+kXlGbX7PNq1PmH8GNmwcZNsmDwitqt0yVAweSK7SpcOC2NrF+kgoAggftMPmiLA3K8p8tSrCDD3ox80SQDxu0n61K3nf5DoXALBxe+lyx6Q+Wd/PpfQ3UsWdi69yHJifhPz2xR/1RSXzyYuKAdejgwTvvEbfePoEfN7hH23xvy2eQn59h+bsk1jiE0ZpjRVx/xO7k5XdWuB/Ff33yMvjzT1AyZuM3zgqLqvDx2N/74lbrr+u46d7nIAqW7vZQsWyNwlS2Tv5ctNCArvp8O5JMX24YNLt3xZsGqnHeXynXeUM9ZsiMtM7mqP/53Y2a7/rXe3q3+XFd7r6C8mmG2LF111/za130b8tnm3m+oJeb9tPixqa8jxNxTjUDbXIX63ve+6+Mx3zuhSRxNpTWuLUDbVKX7XdYZIKFY+5YYaN3xsCZnHNr5y2gZifpfzCjG/8/nZ9kl2fpfrg03nDi5+HznvHJkz6yB53WEHyD9dcrnctPjCuM0nLzhXjj1yppzz3lObZlCqfsRvxG+TEGGaoNosMhC/Rx5T34WM74QS8XuEPeL3x0u9L/Iym8aQKiqtSxysarGaJ64rFircy3YTx8radRvl8qcel79aMyh7bIoU9y33NK9MkX1LnHMfoV2Xu2qHHUSJ7h/+6lercE1cRlp8V2K5PthUVxKniQT4xS/fTQ58brXst/r5zHw6VrvOlxbj1efJcDPJRtjGdG+bcFpX/9asEL8r6/pWBfm+v60KD5QolM2I324O850zutVSf2rT2iKURYjfocgOlRtq3AhrtXvptkJjumTEb3fWyRyI3/n8bPsk4ne5Pth07uDitz7w8hV7vUz+5lNfGRa/F1938ygxvGkQvvUjfiN+m4Qr0wQV8XtAZs852voR9F3I+E4oEb9HXIP4jfhtelCrEr9N9egF0JVX/Fhmzjpcdts9OsCzxJUO55IM9aJCwcRx1rcI56tXrZJ/3vDi8M7v5K52ZUJSdNf/7l89MBRmRl0q1MyDy72tvXz+fDnkjjtk/3vu8S7DJWM6BI3K++e99pQ7Dz5YTr1j6aiikjHfNS/d5mRImmSmvM9VmjwxPi3e/+j6f5WTDn+DTN5m27hoWxHfhUMyLeK3Lzm/fL7vb7/aqskVymbEbzf/+M4Z3WqpP7VpbRHKIsTvUGSHyg01boS1Or/0idf8XCb85teyYb9XyQsLzhhOaCs0pktG/C7nScTvfH62fRLxu1wfbDp3beL3vOPniBLCdZgTJX6f+6VLh//dNAjf+l+4+gUZ/+HjZNzy38jKn10ng0e83rco8kHAiUAdCyAng0jcUwTqXAD1FFgaa0Wg2+I+psV3Jajrg001kDjNFgE+/iwRr12nSQvx6vO0GK8/0+FmksDriulu5eRAibLE/GRVWbvu06ZM2HcfeXHdpqGPt4TDSf+9SNTX5aVD5hQ12VbQz9vVn1d22TA8gdxEsTkEmPvRNZokwNyvSfqdUfe4u/4o237zolj0Ts4pVn/8XFH/l7m6be5XhgV5myGA+N0M96pqDS5+q/AmB7xyL/n7T78/DnWi//6pL35Lbr516fBO8KoaVHc5iN91E6c+TYAFEH2hSQIsgJqkT90sgOrrA3mCeHJ3vLYm3iUfCfdpIVgJxCpcTdaV97lKm1e3EvSzxHtdfi+I+PX1gK1rMn2BUGRbMp6+TxuGv1RIfRGU/GVF3hcSyc9tvpxwtS9EmUkb1BcbY6fuKJPGj5WBF9e5mued3vULFe+KPDPafjHkWTzZEgSY+3Vfd9Bh5tQ7degL2R2i0GjbOzVUvXOV2K1EbyV+60s9m2tPfItse8k34o/KCuDM/ZzcQuIABBC/A0Ctscjg4ne6LWr3t74WXfxZOWj6tBqbW31ViN/VM6VEOwKI33acSBWGAAugMFwp1Y4ACyA7TqTamkA6nnw6Rdau+3Saqc8+LqtWDw59nCPCFon6urysnfp5PrMV9E1fDKTLLxP/nv4FAQiEJ9AmcV8Nd+rSUbzCt749NZT94q5MS7K+bNblZdmlzwiJ30/RlfwFmC6r6J2i8q+fcXAcQmzDy/eM/9T/TrZDhTWZeO2/yjY/+cHwxyqt+iX8C2d+IM6jLnV/h3POjP+eFsDVvXF3L40PSTe9N8eN7ZONGzfLlmNeyiAlLwS8CEy4+UavfGRqB4Haxe92NLs6K4j5TcxvYn6PPE+u8bF9Yo/5xm/0jaPn2qbk6LI62kXxb4sXyfzThyZ8PtdVixbK3GNPlKk77+KTPc5Tpg3JSon5TcxvUyfs1JjfpnZV/Vy71JdOa3rnlCnbNi8HXk6SFSvXFOKyOc/DlneIdGV8aPoCocjeIhEnL983/usW+eCrZ0vRLwu0yDO8uzsRY3+rXeFRRSaRxYd5ssx/eNUr5GN//otPMbl5lIA1JppXjBnTJ+s3bDlDoNIahgp7aMcd5OZXTJP/fdvt8b9dv1AJYFJhkUUi3i+OP162j0S12bfcUrdZQetThy7PXbJE9l6+PGg9TRb+s3nzZK+ofYdGZ1z0ynX+eefJ56L/67z0L3nUrm/1hazpi9ZYEN9jL1FjeTKtErzXzH+HvHjauzLNTwrgf/nkZ+Tal79M3nPXn4Z3hbu2uapnuyrm9+y/v9x56KHy9kWLXJuSmf7Go46KP1fPeVXXLbNny3PRoe3HXXddVUXG5YQ4CD5p4B0R1wf33ltOXry4UruThT2+666ixpwzL7mkuI5e/OYvGPX6Cw4ufusDL1XM7268EL8Rv01ChOlQGpsFctYiNWvnt6ku/QyabE4+q5d9+2ty2ulnyfgJE4yPsKvIivhtRCqI32ZGvv3VpWTfL09s6nB5Hm3Ky0qz6PvflDfNGxmvfcsx5UP8NhEqf7+O/mKysoxwairb535d/VvbxoGXPl7yzxNy/PW3qjhnKJvr+NWfzbw0FLeqy/XdMFG1HWXKyxIjr/7tDfKaVx4oLyuxMcLHpu0mjo2zPb92g092pzw33HGrvGynl8ir9tzHKV+oxD5f3Lnaor/oS+cr2nWeZVf6jJBNO+wom6dMiYvVYYyKwpuo/Cp8ifpz7CMPxX/qfydtU0L46o99Ot7pbfMLBS2Ax0Lj//yfcuZFF8UhVl4484NxflPoqCnbjJc16zZEX/5tkpsffVC2GzdeDt1lN1fMo9LnMXct9IFVz8g9zz4tJ+7zStesmelvffyR+PNZu768kvJUIXc8+Zg8v36dzNl9r8rKVAUNrBuUxff9SU4/8NWVlqsLW7byKVnxwoAcs+crgpSvCn16zQty/YMPyPz9DyqsY+pJxwWzgYLDE0D8LskY8Rvx2yREmARpm0UG4vfIg+q7kPFdiLoK+skhhZ3fxQOs6dnxGZ5dvqxxKd+3/9jUEYJDut66xEHEbxuPl0tTR38xWYj43ds7v039o+r7Icffqm3V5YWyGfHbzWO+c0a3WupPbVpbhLKozpB3dc0nQrHyKTfUuOFjS1Ye/asfJYRvjkRrJXq7XkoAX/uFz8W7bM+45lp5evF1VsK5qicZ8q6qZ7sq5lXPi8qsP/N84rPpzMa/Vax3i+q5d9lSeWzFIzL3mBNszPFKk/x1c1EBxPz2wtuaTMHFb3XI5bFHzpRz3ntqaxpdpSFrf71Wxp/8Sulf9bA8cfsy68G7ShsoqzcJ1LEA6k2ytNqGQJ0LIBt7SNNbBIj53Vv+bltrbXZ+t81m7OkOAsz9usOPndoK5n6d6rl22a1ihY+/9RZ54a/f76SdMPdrlx970RrE7872enDxe+myB+RvPvUVuWnxhZ1NKsd6JX5PnDspvrvi6Re7so00qp0EWAC10y+9YhULoF7xdDvbyQKonX7pFasQv3vF0+1rJ3O/9vmklyxi7tdL3m5fW5n7tc8nvWYR4ndnezy4+K1ifhdddy9Z2NEEEb872n0dbTwLoI52X8cbzwKo413Y0Q1gAdTR7ut44xG/O96FHdsA5n4d67quMJy5X1e4sWMbwdyvY13XNYYjfne2K4OL352Nx2w9Mb+J+W2Kv2qKy0fM7wGZPedo88O2JYVvjDffmG5lYq5VEQONAy+tu0ackJjf2byI+e3Wj4pSV/Fcl7HG9M4pU7Zt3qpjW9rWm5eurv6t67cRv23e7WXbXSZ/23xY1Bbf93cZPmXzhrK5DvG77X3XxTe+c0aXOppIa1pbhLKpTvGbmN+hvNh8ubbxldOWEvO7nO+I+Z3Pz7ZPIn6X64NN5w4ufqud31/45Bky7/g5o9p64Xeukit+fkPHh0NB/Eb8NgkRpgmqzSKDAy9Hhg/fhYzvQhTxe4R9cmJQxQLI9Oz4vCARvxG/ffqNSx7Eb5G2CaeI3y49eCht23yI+G3nQ8RvO046le+c0a2W+lOb1hahLKpi7mdrG+K3LanOS2crNCJ+ixw264jKHIz4jfhdWWfq0IIaE78XX3eznPulS6XTw54gfiN+mwQ80wQV8Zud30XvD3Z+u71dEb8Rv916jHtqxO/2CaeI3+79GPHbnZlLDt8v3E11IH6bCI2+j/jtxsuUGvHbRKjc/VDjRjmrqs+N+G1mWmbzVV7piN+I3+ae190pGhO/P/XFb8nNty7t+J3f62+8X8YdtV98UvETty/r7t5C61pFoI4FUKsajDGtIlDnAqhVDceYVhAg7mMr3NCzRtiEPelZODQ8KAHmfkHxUriBAHM/ukiTBJj7NUmfuhUBwp50dj8IIn7rXd0mNFnhUEx5qrh/8oJz5f7lj8ZF7bv37vKzhV/ILTavLXrHOuJ3FR6hDB8CLIB8qJGnKgIsgKoiSTk+BFgA+VAjT1UEEL+rIkk5rgSY+7kSI32VBJj7VUmTslwJMPdzJUb6qgkgfldNtN7ygojfySbkxfyut5kjtf31R78sK58ZGBa8lRA+dacp8t0LPpFpkhK//+mSy3N3qCN+N+VJ6mUBRB9okgALoCbpUzcLIPpAkwQQv5uk39t1M/frbf833Xrmfk17oLfrZ+7X2/5vQ+sRv9vgBX8bgovf/qaFyXnkvHPk/5z19uEDOE3ituk+Mb+J+U3M75Fn1TU+mU/sMd/4jb5x9FzblBy5qogNTMxvt3cBMb+zedUEYQSMAAAgAElEQVQVE7muA6r0AujKK34sM2cdLrvtvqdbRymRuornukT1YnrnlCnbNm/b4kXX1b81Hxvx2+Y8D1veIdK1zYdFbfR9f4fgZltmKJvrEL/b3ndtfaDS+c4ZXepoIq3pPKFQNtUpftc1nwjFyqfcUOOGjy0h8xDz20y3zPozr3SfdbfZUpHQ8+J7ly2Vx1Y8InOPOcHGHK80tn0S8dsLb2sy9ZT4vXTZAzL/7M/Loos/KwdNnxY7IeuzpHeywp4kD+lE/Eb8NgkRpgmqzSIja5GatQAy1aX7tsnm5DPgIia6vqh9XsK+CxnfCaVrm5LsqpgMIH67vS9d+qtLyb79x6YOl+fRprysNHWJg3UtVhG/Z8je0/bz7Q6l87VNOK2rf2twiN+lu5BTASHHXydDHBKHshnx28EJUVLfOaNbLfWntp3vV20Z4nfVREeXF2rcCGu1e+m2QmO65OTO76qe7aqYVz0vKrP+zPOIz7rbxrtVrHeL6kH8tvECaWwI1CJ+q93Wz6xanWlPUki2MbhMGh/xO11fOmyKWfzulzFj+qWvv182rF8v2267nUifyJo1a9QfMn7CBOnr65N1g+tkcHCt7LLLS2Xqzi+RCdHnK59+Ov5s+oEHyaOPPCSDawdl9hFz5KeLfiRvnf8OueU3N8urZ75W/nT3H+WAAw+O/5x9+JHyy2v/Vd757vfKRV+/QM4482/k9j/8Pm7GX0X39GdPPvlEnF+Vc/9998Z5T5r3v+Thhx8c/lzlueAfvigf/din4/xLbrhepkyeIoe9Zlb870u/dZG87e3vlCnbbx//O5k26/5//vamYTs01x9e9h154wlvjtutr3S56vOrF/9z3MZ993vlcDrF5tJv/l/5wIc+OspNqm2aQdp/uv0TJkwcdSvd7uTNovLybEvmV/5Sfttjj70yu29R3TpD0kf6szFj+mT82DGyZnDDcLmmunTCLJ6ZxkUf5jHLSp/l47xy1ee333arDKwekKPecGxRslH30v3QNmO6f9rmc21TstyB556TKy7/oZzx/g/YVrdVuqxnxLWwMm3IexbGj+uPb61bv8nVnOH0Lv3QthKX/mpbpkrn239s6gjBIV1v1rhqY5trml9E75+X77GnHDjjYNesTuknTRgr6zZslEU/+mHh+OpUqGXiKp5ry6oyk9XRX0z2Zb2TTHlC3q+rf+s2TN5mnKx+cX1hk2ze7SGZmMpumw+L7A05/po4+d4PZXPW3M/Xxrx8be+7Lu31nTO61NFEWtv5ftW2VTH3s7WprvmErT11pAs1btRhu0sdprV1Xll67rdx4+atdAmX+pNpq2Je9Tu1qrVbsq0+624brqHnxXff9Ud55OGH5LhIMwp12fZJNf/j6lwCwcVvU0ztOtFVIX7rMoZF+yVLRN7wBtl45Fx58bp/r7M51NXjBOpYAPU4YppfQKDOBRCOgECaQHIBBB0I1E3ARvyu2ybq6w0CzP16w89tbSVzv7Z6pjfsYu7XG35ucysRv9vsHbNtwcXvth14mRXz+9wvXSq2O9B1GJTh9IsXi5xyiqw95i3yzOWXm4mTAgIVEajjp68VmUoxXUigzp++diE+mlSSAIcelQRI9lIEbMKelKqAzBDIIcDcj67RJAHmfk3Sp27mfvSBpgkQ87tpD5Srv+fE73TYkvTOdPVvdf1s4RfiP5VYftPiC4cpb7WTfeFCkfe8R9a8+Z3y7MJvlfMGuSHgQIAFkAMsklZOgAVQ5Ugp0IEACyAHWCStnADid+VIKdCSAHM/S1AkC0KAuV8QrBRqSYC5nyUokgUjgPgdDG0tBQcXv5VYfOyRM+Wc955aS4NsKlE23b/80TjpvnvvPix0q3+nxe9kWnX/dYdNl+9e8Inhaswxv/uimN9jojjf/bJxw3qZtM22cYzvtVHMb3UNx/xeNxjF/R6M4n3vIjtO3VnGj58gzz6zMvpsrey3/wx5fMXDUfzvQZk563BRh5y8+ZT58odbfyszDpkp991zV5xG/XnYrCPkxuuvkVPnLxB98Ntdd94W16Xu6c9WPv1EnF+VkzygIX34YvIQiPTBEukDptIHRqTvZx3ckHWYX9bBVVkHwileP/n+JfLu9314lNuLDtHIOwyv6NBJ06EcpsPqTIfScODlgMyec7TNoxun8T3gxPdAkzIHjlRxAAgHXlp3jTghB15m86rrQEAOvHTrrz6pTe8cnzJd81R9sJNr/en0dfVvXa+N+G3zbi/b7jL52+bDorb4vr/L8CmbN5TNdYjfbe+7Lr7xnTO61NFEWtPaIpRNdYrfdc0nQrHyKTfUuOFjS8g8prV1Xt0ceFnOKxx4mc/Ptk8ifpfrg03nDi5+qzAh/3TJ5aN2Tzfd6CrrR/yeL5OnDB14ifi9X2bXMk1QbRYZWYvUrAWQqS5toIt44iImugrFPi9h34WM74TStU3JToD4XTzauvRD23Hbpb/alpk1vrnkNaUNwSFdZ13iYF2LVb0AuvKKH8dfCu+2+54mzJXdr+K5LmNMHf3FZF/bhNO6+rfmgvht6iHV3vd9f1drhVtpoWxG/Hbzg++c0a2W+lPbzvertgzxu2qio8sLNW6Etdq9dFuhMV0y4rc762QOn3W3TY2h58X3Llsqj614ROYec4KNOV5pbPsk4rcX3tZkCi5+q5jfRZdtrO3WEEsZgviN+G0SIkwTVMRvdn4XjW/s/HYb/RG/s3nVJQ4ifrv1V5/UpneOT5mueRC/J8mKlUO/4Mu7bN7trtyrTN82Hxa1rRMFoVA2I367PQWI3268TKkRv02Eyt0PNW6Us6r63LZCY7pmxO9yvkD8zudn2ycRv8v1waZzBxe/m25g8Pq3xPwefP07ZOVV3w5eHRVAQBOoYwEEbQjkEahzAYQXIFC0AIIOBOomYLPzu26bqK83CDD36w0/t7WVzP3a6pnesIuY373h5za3EvG7zd4x24b4bWZUnOL880XOO0/WvOET8uxPP1e2NPJDwJoACyBrVCQMQIAFUACoFGlNgAWQNSoSBiCA+B0AKkVaEWDuZ4WJRIEIMPcLBJZirQgw97PCRKKABBC/A8KtoehaxO/koZFf+OQZMu/4OaLCoaQPj6yhvdVXgfhdPVNKtCLAAsgKE4kCEWABFAgsxVoRYAFkhYlEgQggfgcCS7FGAsz9jIhIEJAAc7+AcCnaSIC5nxERCQITQPwODDhw8cHFbyV8T91pinz3gk/IkfPOkf9z1ttj8fvC71wlV/z8ho4/CJOY38T8NsVfJeZ3/ijmE3vMN36jbxw9Drwc8V8yHloVCyDTs+Pz/iPmdzY1Yn779KbsPKEP9jFZGuK5MdWZvt+2eNF19W/NwUb8Jua3a6/KT+/7/q7OAveSQtlch/jd9r7r4g3fOaNLHU2kNa0tQtlUxdzP1ra6zhCxtaeOdKHGjTpsd6nDNr5yukxifrtQ3jqtz7rbpsbQ82IOvLTxAmlsCAQXv9UO70UXf1YOmj5tlPi9+Lqb5dwvXSoceDlB+vr6ZN26QVk3OChTd95Fdpy6s4wfP0GefWZl9Nla2W//GfL4iodlMLo/c9bhoiY8bz5lvvzh1t/KjENmyn333BWnUX8eNusIufH6a+TU+QtEi0B33Xlb3BfUPf3ZyqefiPOrcpKL2PSEN/kSTk8g04vN9As7fT9LRMw6zC9rEZu12Fe8fvL9S+Td7/vwqL5e9ELNE8aKJvqmF7RJiDBNUG0WGVlCQ9YCyFSXBmWyOQnURUx0FYp9XsK+CxnfCaVrm5LsqpgMcOClzatsJI1Lf3Up2bf/2NTh8jzalJeVpi5xsK7Fql4AXXnFj+P34m677+mLxjlfFc+1c6WJDHX0F5N9iN8ceGnqI1XeDzn+VmlnsqxQNiN+u3nMd87oVkv9qW3n+1VbhvhdNdHR5YUaN8Ja7V66aW2dVyLitzvrZA6fdbdNjaHnxYjfNl4gjQ2B4OK32u39f//+I1uJ3+z8XhP7Z/wExO+5x54Yi/76Qvze+tFF/B5h4ruQ8Z1QIn6PsGfn98dt3qvOaeoQMxG/nd2SmyH0JN9kaR39xWQD4jfit6mPVHnf9/1dpQ2uZYWyGfHbzRO+c0a3WupPjfhdP/M6agw1btRhu0sdz975uCz5w3Vy6jsWyOYJ9jkRv+1ZZaVE/M7nZ/uFDGFPyvXBpnMHF78/9cVvyc23Lo3Dm+iwJ6/Y62Uy/+zPy0lvPFz+/tPvb5pBufqTMb+/8/+ITOkvVx65IWBJoI4FkKUpJOtBAnXu/ulBvDTZQIC4j3SRJgnYhD1p0j7q7l4CzP2617ed0DLmfp3gpbA29q/cLH0DmyPRerNsetkY58rG3LNBxv/Hhjjf5inRr9+PHy+bdu6zKoe5nxUmEgUkgPgdEG4NRQcXv1UbdIiTZHvOetdJcs57T62hiYGreM97RBYulBdO+YY8908LEL8D46b4EQIsgOgNTRJgAdQkfepmAUQfaJIA4neT9Hu7buZ+Pej/gU1xo/ui/yLJsdG/T544Lrbh+bUbhu1RdsVCZvRfp/7dxLV/fdSywSH2dV+bJ/TJpnFDbNN25to1GFk5ONRvhq8tG/Q2bTdUTt+E/txd17HArdr71CYZ83zU954e+nff06PL3Lxzv2zcp182HDzWagd3WvgeEtFFNkb5N02OLI1skoKd4FO2GS9r1m2Q9RtSbavbKdTXswReetC2Pdv2bmh4LeJ3N4DKbUNC/F79pffIpql231x2NRMaVwsBFkC1YKaSHAKI33SNJgkgfjdJn7p7Xfzui4WVISHIRfDqWx+JKGUFpC1CYNle2L+6bAkZ+SMhZ4sOqMBU/vf+dSLq/zFj+iLxp14hrm91e8UmJaBxQQACfgTisCORwB5f4yOJPSVwp0tVgrcS5Pue3hiN5yN3N+4eieCvHSObp0b/ZwjYSeF7w2vHxoL5uNs2yJg7h3aBc0GgEwjs+P/s2AlmYmMOgeDi919/9Mvyu9uXbXWwpToI83WHTZfvXvCJjnbO+SrsSc7V398fH2Y5Zkz0k6C+6JvRDetl0jbbxp+tXUPMb4WNAy9FOPByQGbPOdp6HPCN3+gbR4+Y3yOuIeY3Mb9NDyoHXpoIlb9PzO+tGbrEtFeL9c3Rjri8XZQ2O/x22DRWVj0fqZAF12OPPiy3PXqLnDz9rfmplBCsiykQS/sj0VgSIoOpF9kIlQ+s/4ssW7dM3jT2TaMEDFPZTdz/+qavy4f6P9RE1d51dqLNurGPbH5Ebo3+O7Wv83+he9Pmm2S76L9X973a25dNZ1ShIdSVHLP+5fkrZdbE18nuY19eake4a9uiJWx8ba7h+4brX/z3qH27y/TxB7iaWX36SBRWgm/o6xsPf0U+uMdHRlUTf2G4LnvntxKrM+2KxOdN40dbq7/w61+tvrKMylQ7uXPeK6rPbZ4cidxROJKN20XlvGRI8E5v8utfsVHG/n6j9EeCuS5LCd+b9h8b7wjf+LKhcLBp4fvxfZ6RG6+/Rk6dvyC+N2alei9vFtOXkuPGRvZsjMKtRObfvOpG2W7MZDl08mGl3JLF3KfAB9bcL/e8sExO3PktPtm3ynPrwC3xZ7OmzK6kPFXIHatvl+c3rpY5O8ytrExV0MCGAVn81E/l9N3eW2m5urBlL9wtKwYflWN2emOQ8lWhT697Sq5/9hcy/6XvLKxj6l9PCWYDBYcnEFz8VnG+3/aWN2wV4oQDLxG/VfdG/Eb8fuF5xO+ioT7rGXF9NZQR8JN1IX4jfpv6HuK3iVD5+3WL33qXb3KH738/dK/cf++f5LjZJ2/doJydubmLWrWwVwtwpStoQSX6u9rhWiT4JgXeywa+J6ds9z+jY1eGFiVt2AnadgHxL5v/IvdE/72p703OnXLUTkGX3J4CUlKciH8aX8U1uXoha3NUpg5LcMn1F8hZx350qD9WFa5i4hgZu02fTBo/VgZeLP7ypQyiFU9FX9zc81s56ci3DxcTC2BtvQrOW/LdMNHWpmq7OPCy7R7ys893o45fbUO59BfC6u/qy1+fX7GrMvqViL08CpPy6MivRNRucDUujr1nY1yX2vG9Pvrf9nDBdLs48LKMp0U48DKfn22fJOZ3uT7YdO7g4rfa4f2FT54h846fM6qtOg743UsWNs2gVP3s/J4vk6dsHzNMv7DTO7GyBDjEb8RvxO/iIQjx222IvuzbX5PTTj9Lxk9wOD7eooqQC5I6xEyXnbEWOHKTIH570osE46RAlrn7eIuo/Is7r5ZXvuwA2WfKvkMCceLqi/69ee3o0AtZu4b1TrK0tbaicRnh1JNQYbaFmxbKqf2nypToP9OVJdwm2efupEsUPHHnMfLi4NBiPu96NNo9a9r5rXbSbR5vEcNX7Th0GNJshMrlD90n9z3wJ3njcadYxWo1cQ15P+T4G8ruUDbXEfLO5heJobhVXS7id7VE6wx5V9d8olpC5UoLNW6Us8otd7wb/L+jXdyRGJ7cWa6Fb1WardCYrhnx280X6dSI3/n8bPsk4ne5Pth07uDid7fv/JZEzO/nP70g/okPFwTqIFDHAqiOdlBHZxKocwHUmYSwOiSBqmN+x4cubdl2vJXwnD44Su1wSorOqdAV/dHhUMlrK6G54KfGIZn5lp23y1f9JDrryt2Zm7PTNv7JdiTsbo5+R6/CwqlL/d108FWhwFuwE9SXQzJfr8f8roIhZfgRYO7nx41c1RBg7lcNx14pRQnhY+6LdoK/ZIysP6C8RlL13K9X/EA7qyOA+F0dyyZKCi5+q/Aml/zgall08WfloOnT4jYuXfaAzD/783LWu07aKhxKExBK1XnKKSKLF8vzp/1AXvjAybIxinHFBYE6CLAAqoMydeQRYAFE3whNQO9CVqL0mKSgHInP2/WPkbXrNsqGFzeNFqKjWJbxFf2xlQidPLCtZQK0iq9p2n2cFpX74l3Do72gYnz2TYw+3xKQVYnJm6NQE1m7hjPF48Ciceg+U1f5iN91kaaeNAHmfvSJJgkw92uSPnUjftMHmiaA+N20B8rVH1z8VubpECdJU7NCoZRrSkO53/AGkSVLZPV7rpYX33sU4ndDbujFalkA9aLX29NmFkDt8UVTlmhxui86jC/e3ayu5C7pxA7p4XAcUZJkGI5Ru6KbFKQj0Vfv/N4q7EXq4Ki06LxV6Ioth5Npv8SHRI0bOR2sb4I6OKopr1FvFQQQv6ugSBk+BJj7+VAjT1UEmPtVRZJyfAggfvtQI0+VBBC/q6RZf1m1iN/1N6u+Gon5TcxvU7xe06E0NrEVlz8Qxea85y75HydGvzTYcmUtgEx16bwmm5NPkEsMZdeDFX1ij/nGb/SNo+fapiS71QPPyb8tXiTzTz/Te1Ai5rcbOpf+6lKyb/+xqcPlebQpL51GxVz8yU++KW85+u0yZeyWmMgJkXrUQYRR+A918GDysMGkQG2KCX395uvlZdF/B/Qd4GPqqDxqN7S+RoXYiITjcdv2y4aNm+Sq5f8sr9ljtuw+ZY84qd4dHe94ToXZSO50LiNAV/Fcl4ETur/Y2Jb1TrLJFypNXTHttf024rfNuz0UD5ty2+bDIptDjr82rHzShLK5DvG77X3XxR++c0aXOppIazvfr9q2OsVvYn5X7b32lGcbXzltMTG/y/nQZ91tU2PoefG9y5bKYysekbnHnGBjjlca2z6J+O2FtzWZEL9LugLxG/HbJESYJqg2iwzE75EH1Xch47sQRfweYZ+cGFSxADI9Oz7DczeI3/EBQWoXdNaO6mS86SKhOrWL2uVAQFvuw+J0FFYjjtscXb965pey2/a7y/47HCjJHdI6HIdKkwzDkdwV7SJI6wXQlVf8WGbOOlx2231PW7NLpws9yTcZGOK5MdWZvt824RTx29WDIm3zYVELfN/f7lSqyxHKZsRvNx/5zhndaqk/tWltEcqiKuZ+trYhftuS6rx0tkJjumWI3+V8jfidz8+2TyJ+l+uDTeeuRfxWh14+s2p1ZlvvXrKwaQal6kf8Rvw2CRGmCSri94DMnnO09XPou5DxXYgifo+4BvH748X9dGBTHLe5//lUCJCkYK1iUqfiUV/z+NUyffx0ecWaoXMxqr5UiI3LBhfKKTv+L5m8zfZDxSdDeSR2SCtBO33Y4KiwHYaY0HUtVhG/Z8je0/aruqtYl9c24RTx29p1wwnb5sOiFvi+v92pVJcjlM2I324+8p0zutVSf2rT2iKURYjfocgOlRtq3AhrtXvptkJjumTEb3fWyRyI3/n8bPsk4ne5Pth07uDi98kLzpWpO02R717wiabbGqb+RMzvtSfMlfVHjwtTD6VCIEWgjgUQ0CGQR6DOBVAdXlDhPEbttI6EbHXpkCA6ZnXyEMU+dYBigDjVSqyOd0FHhxfqHdVarE7upi4Sql12UdfBt+o6iPtYNVHKcyFgE/bEpTzSQsCWAHM/W1KkC0Gg2+Z+IRhRZjgCzP3CsaVkOwKI33ac2poquPh94FELpGsOt8zyIuJ3W/t219vFAqjrXdzqBrZpAaTChGwe3CRjnt+CTMez1juu1WGM60biWA/HsK5YuFZitPpvk95JvWV39ajwH5NVSO1od3UinvVwLGrDrupWd4iajWMBVDNwqhtFAPGbDtEUAeZ+TZGnXkWgTXM/PNJ7BJj79Z7P29ZixO+2ecTNHsRvN15bp95nnyhw4nJ57iN3yIYZ+8jgyez8LouU/HYEWADZcSJVGAJVL4BG7bxOidfpXddBxOtIeE7utNYHJ8oWITuOWR3FtY53YkeitroQrcP0LZtS///2zgfYrqLO87/3EvIHScAEVIxCKpCtRGHBZE2YEAoXnRFGByJTStgaIWucBacGLbFq0U2tTlmLK1UrrqZKgwIbZStCdsEERZHFGSyQIiy6UpEJhcjCCAE2Pv48GPI/b0+f987LfTfn3u5fn+4+5777uSkq5N3uX//607/Tp/ubzq/ZALlQokwsAojfschi10aAtZ+NEN/HJBB67RfTV2xPPgKs/SbfmPZajxC/e23EJvobXfw2aU8+cM5SuWrtxb1NqoP35Pwm5zc5vw8/HNr82D65x3zzN/rm0dP2qXWqCHEx3h23bpRzP/DnMvf4t3jPoVX60Npot5zfR1zSOCZgF2lDpC3XtUkZctdrP5bFhxbJKQOnePfNVDRpQsQI07MG5bvPfUsum79WjpoxffzCRSNYj0zLTn9nqURahWtNahDf+HHpmG0OcbFhK5MqJzI5v20jUf37FPFi87Jp+aJTxXfBxUX8drnPw8Y55vdNG8NufY05/8ZiHMvnFOJ302NXM2a+a0ZNG3WUJed3HdTjtxlr3ojvua4F1/zK7VbJ+a3j3F7aZ9/t0mKI/W63dp7YsV2e3/msnPv+C1zc8SrjGpOI3154G1Mpuvi95e4H5GsbbpP7t6xvTKdDOoL4jfhtEyJsC1SXTUbZJrVsA2Rrq4h9m8+tz8j3vvsNufSyK2Xa9LHjrl0eIK3I6vMS9t3I+C4otX1qxRNiMZBa/C7NfT2WPmTo1f8nP3/6Z7L6hL+SqYNZeo/hgzKyJ8uVbYRuj89dI3fJouyXEb/zNCDTxk5WZ7bMyesiXUh+6nqGEbBHT10XFzCWideaeNW47Bs/Lm1onkcXe2VlUomDiN++I+ReL0W82LxpmnCaKr4LLojftggJ+33M+Tesp4etxfIZ8Vs3Yr5rRl0r6Uu7rvdDe5by5Heq9URoRlXsxZo3qvgUo66r0NjeNuJ3tdHw2Xe7tBhiv9utHcRvl1GgjAuB6OK3yfnd7fPYfRtd/GxsGcRvxG+bEGFboCJ+D8tZK89zfsZ9NzK+C8qeFb+zCxsH92fZpbO81o/89kGRAyOy7IQ/GeWcXe44uD/7PROtixQiRvS2fXbJLrn30L1y6eClpUUnCNhj+a4npA0xAvZYGhGTMuR/3bdVFp52msxfsNDWtPP3iN/lqFKJg6k2q8UG6PbNm2TpshVy4ryTnGOkasHYi3ybf7Z3jq1+iO8Rv2fKzqHdXVG6vNtDjIWvjaaNYbd++L6/fdmEqBfLZ8Rv3ej4rhl1raQvbdtbxPII8TsW2VG7seaNuF7rrSN+25lV2X92so743Zm7a0xy8tseu00uEV38bnLng/jWkvP74NtOkj1rZwQxixEI2Aik2ADZfOD7BARaRGwjVkt2seN4KhFPEbub104nsDMBe+b0KdnNRwPy+p4DIlzUmCAQaKKVAHkfiYc6Cbic/K7TP9qevARY+03ese2FnqUUv3uBBz6mJcDaLy1vWjuSAOJ3b0cF4nfV8WsRvw+9+STZ/TeI31WRUt+NABsgN05NKWVSg4xkwvWU18c8ykRtI2YP7stOX5v/TE7ssfQhJh+2ZCe2fdOJmBa6ncLOv8vyX+d5sLOPOYWtyX9t6rABakpk9acfbID6c9yb0mvE76aMRP/5wdqv/8a8ST1m7dek0eg/X1j79d+YN63HiN9NGxGdP0nEb5P3e91Xb5zg2bWf/6SsOn+lztsmlm4Tv83J7/zyNT4QiEyADVBkwN3M205jjwnceUqRTMiOKWK358FOdQqbDVCN8UfTwgaIIKiTAOJ3nfT7u23Wfv09/nX3nrVf3SPQ3+2z9uvv8W9C7xG/mzAK/j5EF7/X33SHbLjlTrn121+U0xcvyD3dvuMpWf2pL8uVH79Qrlp7sb/3DahJzm9yftvyr9ry8rnkBeXCy8MPu2/+xo559DIhu9Np7BGTL/u5h/LGlw8sU5/GHpZhuePQHbJmcM3oX4pNNzmvB3N77Rc6moscC+G69SR26gsvu02rrfnQQmyAbM+OzxRPzu9yauT89omm8jrk/BZpWr7oVPFdRISL+O3ybg8XlXpLTRvDbj3oxTy4sXxOIX43PXY10e67ZtS0UUdZ294ilk8h1n6uvqW6Q8TVnxTlYs0bKXzXtOGaX7ndJhdeaigfWZac3535ucYk4kixyOIAACAASURBVHe1GKy7dnTx+5xVV8nH/uJfHyFyG1F884/+Qe7fsr5uBpXaR/xG/LYJeLYFqssmA/H78GPaaSOTn67OxOrB18cubmxJK2IuePzWjq/L377zs6oLHk2r20a25Y0vH1g+7kTXlCJZHuyRTOQ2YvbwgWH50d/fJqvXXOE9zyB+69AhfpfzSiUOptqscuFl2ItidU8Z4jfitzZiqpXvRUEols+I37pYQvzW8bKVRvy2Ear2fax5o5pX4Wu7Co2I3yJLlp0dbAAQvxG/gwVTjxqKLn6/+31rpCzFSZEK5bH7NvYoulG3Eb8RvxG/Dz/C2pupO72Eu+XH/uWT92X3LM6SM2cuUQnZ3zz0Tfn04KePmG/ahewRI15Py05mZ/8ZAbs4+f2e965Q58UOcUIU8Vv3ikD8RvzWRYy+dIjnWt/q4Rq2d04V2651m3ZqONVf7hR8EL9dIyVMuV4UhGL5jPitiynEbx0vW2nEbxuhat/HmjeqeRW+NuK3nal2T223mGVf+M0j8s+vD8tZK89zKe5cJva6+Ikd2+X5nc/Kue+/wNknbUHXmOTkt5Zss8pHF78n+8lvGchOeGafP24elimPH5B9502Vg4umNmuU8WZSEkixAQoBruxE9uBrY5azE9mD+7P/z05t5/mx92WXPGY/8/mYtCLm0sZDmXhtPq1pRcxJbCNqGzHb/P+ho7I2Zo+mH+HjRyDlBsjPQ2pNZgLkfZzMo9v8vrmI383vBR72IoFeWfv1Ilt8thNg7WdnRIl4BFj7xWOLZTcCiN9unJpaKrr4Pdlzfhfi966fDsvU/31ADrx3quzP/uMDgdgE6tgAGSF7IEsrkgvVeZqRQ9JRyK5w0WPX/NizMh9mTMlOZ48gZMcOsi722QDVCJ+mufCSGKiVAOJ3rfj7uvE61n59DZzOTyDA2o+AqJMA4ned9GnbEED87u04iC5+GzxFipNWVGWpUHoS5djJ7xd/PizTfnlADp4xVfadjfjdk2PZY05X3QCZE9YD2anrdiF7YF92Otrkzh47nT2Qidgml3Z+gtvj003INilHRqZxItsDa+1V2ADVPgR97QAboL4e/to7j/hd+xD0rQNV1359C46OByHA2i8IRox4EmDt5wmOasEIIH4HQ1mLoSTidy09S9QoOb/J+W3Lv5riwstCyP7RvbfKvzplhbz9qHkymInYRrQ2J7QHXx99IAoh+yd77pJF2a9TBk6xPik3HLpB1gyuyTKGTM9OWmfF8xQioylDTGqRLAF3/v9GyH7kmYdkZMqILD3zbBk5xlz82N28T+4x3/yNvnn0quRcC5EDjZzf1hCdUICc3+W8UuVE5sJLXbz6lLa9c3xsauuQ83um7Bza3RWby2XWWu4hyzdtDLv1zff9HZKX1lYsn1OI302PXc1Y+K4ZNW3UUda2t4jlU0rxO9V6IhYrH7ux5g0fX2LWcc2v3O5Dq/gd6tkOxTz0O7XK/rPT2Pnsu13iIMR+t1s75Px2GQXKuBBA/Hah1KUM4jfit02IsC1QWzcZnS56fObFJ+Xx5/9RPvTWvxjPjz2Q5ceWtvzYd4zcIcuyX+8YeEfXyL5rJBO/j14sC950ap46xOTCzi94bMmXXeTEvvnH6+XfXHqlHDXLomRn1bUvap+XsO9ix3dxo+1TK/gQiwHEb90kjfhdzgvxWxdH3UqHeK6reGN751Sx7Vo39CbPtd1O5VLFd9G+y8nvpguITRvDbjHg+/6uGldV6sfyGfFbNyq+a0ZdK+lL2/YWsTxC/I5FdtRurHkjrtd664jfdmZV9p+drPvsu+2eisReFyN+u4wCZVwIRBO/i1zfV378Qrlq7cUTfOn2nYvTTSqD+I343VGIGM7yYe8fkPHT2Mdkp7GzVCJ5WpE9WVqRsdPYO1/+J9n2xjb5S5n4nLTG+e9Hfi+PZ78+NPCh0vA3p64lSx9yx6v/U5Yd/ydy4rGZ+J0J2YWwnV/2mH0OHjN6KeQ9P/+hLFx0msxfsND6OGnERO2L2ucl7LuR8V1QavvUCjTEYgDx2xqiEwpo4lVj2Td+XNpIIWamEgdTndQqTv/cvnmTLF22Qk6cd5IL6iBlQjzXVRxJES82/5omnKaK74IL4rctQsJ+H3P+DevpYWuxfEb81o2Y75pR10r60ojf6ZmnaDHWvJHCd00biN92WlX2n52s++y77Z4ifrswokwzCEQTvy9as07mzpktN19/TWlPP3H1dTL00rBs3XhtM0j4epHl/B459jh5/vc7ZcZNe/K8yHvWzrCme/BtjnrpCXTKjZ178lomYufpRcZyZ2ensU1534/tokfJhGtzStuI2lOPHpBZb50uQ8Oeybh9naQeBDICKU//ABwC7QTI+0hM1EnARfyu0z/anrwEUojfk5cePatKgLVfVYLUr0KAtV8VetQNQYCc3yEo1mcjmvj97vetkW6XWhaXYD5238b6eh+i5Uz8PnTyyfLCr3bI9K37ZfC5g7LvomlycN5oTmQ+DSIwdhK7/YLH3MPAIrYxWZzGbk8rYtKLDMwwebPHcmWbHNoO+bHbSbIBalBs9aErbID6cNAb1GU2QA0ajD50BfG7Dwe9IV1m7deQgehTN1j79enAN6TbrP0aMhB97Abid28PPuJ31fFrFb/vzsTvpzLx++ypcvCMqVUtU78TgW4idnbqenB/VjHQSezchdmDMpIJ1h1zY7ecxj50VHbqOyuf4sMGKAVl2uhEgA0QsVEnATZAddKnbcRvYqAuAqz96iJPu4YAaz/ioE4CrP3qpE/bhgDid2/HQTTx+5xVV8nnrrxEVp2/spSQOfn9tQ23yf1b1vc0QXJ+e+b8HhOwb//p9+R9S86X4wePzwVrk0Lklv9zo6w6+aNy7J7ZeWyYk9p3vfwjWXxgkZwycMp4vOzNKmw8tFGuGLxiQgztkl1y76F75dLBSyf83JzE/s6rG+Syt6/NsodMl0OzTP7r7NR1Jmw/e+AP8sjTD8mF516S1ylyY5s0JLa8ZLb8q7a8fC6XYpXlVy3bANnaKoDYfG4Fp8mhrM1P5pN7zDd/o28ePW2fWtmFyA1Mzm/dK0ITrxrLvvHj0obmeXSxV1YmVU5kcn77jpB7vRTxYvOGnN8zZefQ7q6YXN7tNs4xv2/aGHbra8z5NxbjWD6nEL+bHruaMfNdM2raqKOs63o/tG8pxe9U64nQjKrYizVvVPEpRl3b3rpTm63id6hnOxTz0O/UKvvPTvx89t0u4x9iv9utHS68dBkFyrgQiCZ+f+Er35F/fOKZjjm9bTnBXZxvQpm+Fr833iAf/rNL5FgZFak33PFf5Mpzrh7LgT0itzx2k3zk7R+V2Ydm5wL2w8MPZQL3iCwfWD4+dD849AP5wOAH5ITsV/ExgvbFgxdnVkftms9dI3fJouyXEb+LdCJ7jton33/+Jlm76G/yyx3Nx6QS2bV3l9y3/W75ywsul/aT2J2EsW4LfdsL2iZE2BaoLpsMxO/DT7vvYsd3cVNl8RFiMYD4rZvpEb/LeSF+6+KoW+kQz3UVb2zvnCq2XeuG3uS5ttupXKr4Ltp3Ofnt8m6v2u8q9Zs2ht364vv+rsKnat1YPiN+60bGd82oayV9adveIpZHiN+xyI7ajTVvxPVab922t+5kEfFbz7q1BuJ3Z36uMcnJ72oxWHftaOK36Zg5/W0+7ae7zc9feuU16fl831nfeln8/vVDD8qH/vRj8k//90l54vePyQffc5HsfOEZeeTJh2TVoo/mQvW3fvN1+dt3fjYfxweG7pNZI7PkPXvPzP/cLlJ/89A35dODnx6P6fbvt41sy78z4ncuYGefH7yxST7w5g/KnLknjJ/CvuXRG+XCpR/LLnM8Li9j0o387JdbZOFpp8n8BQvH7e/bu1d+8P0Ncvlff2bCc9Rt8kL8HkWlEU80YqJWKPZ5CftuZHwXlNo+tQZjCJEM8Vv3mtTEq8ayb/y4tKF5Hl3slZVJJQ6mOqlVbIBu37xJli5bISfOO8kXjbpeiOda3WhLhRTxYvOvacJpqvguuCB+2yIk7Pcx59+wnh62FstnxG/diPmuGXWtpC+N+J2eeYoWY80bKXzXtOEqNLbbRPzWUD6yrM++26XF2OtiTn67jAJlXAhEFb+NA+YE+J33PDjBl+VLFsvN11/j4l/zy7Tk/DbOTvv7AzLl8QNycNFU2Xde/LzfA1mO64Esx3V+iaP5ZOlEivQho38+nAPb/HHgNfN9VidLMVL1UwjYI7NGc1ybNCL5pziFnQncI9MykTtLHWIE7JT5sKv2rRfqp9gA9QIHfKyHQMrTP/X0kFabTIC8j00encnvm4v4Pfkp0MM6CLD2q4M6bRYEWPsRC3USYO1XJ33aNgQ4+d3bcRBd/O5tPA7et4nfRoye8d9HleUD750qB/7l1Ez4LbdjBOiRvYeyCxoHRsVrUy37cyFeD2T5r0eyn5s82Pl32SekeG3sFSlE8sscs09rHuzigkeTSiQvi4DtEBDpirABSsealo4kwAaIqKiTABugOunTNuI3MVAXAdZ+dZGnXUOAtR9xUCcB1n510qdtQwDxu7fjAPG76vi1id/G3JRHD8i0Xx4Yt1yckC5+YATyUJ8y8Tq33XL6OrvdMTuBPdpm60WOoXzATj0E2ADVw51WRwmwASIS6iTABqhO+rSN+E0M1EWAtV9d5GmXtR8xUDcB1n51jwDtI373dgwgflccv645vwcGZWBkQKZkv7Kz3XIg+3X0wNH5z3Znv7IfyfSB6TKQCej7RvZlh773yvEzTpA5Rx8v046aLi/vHsoylOyVhe98l7zwynOyd/8eWfKeFfLje26TD39ktfzq4QfltDOWyu8e/60sXHRa/vuSZWfLL+79iVy8eo0UuW9/++gjeS/Nd8XPhv74Yl7f2GnN3dl+QVNr7rH2vHntOTbb85S1f1+WO7ksn3FZ7s6yHKfk/B6UY2YeJUPDh3PYuOYA1OSM1eRQ1ubH9sk95pu/0TePnrZPrVNKiBxo5PzWTdKaeNVY9o0flzY0z6OLvbIyqXIik/Pbd4Tc66WIF5s35PyeKTuHsnVclw8XXtqiyP37mPOvuxe6krF8TiF+Nz12NSPhu2bUtFFHWdf1fmjfUh58SLWeCM2oir1Y80YVn2LUJee3nWqV/Wcn6z77brunIiH2u93aIee3yyhQxoUA4rcLpS5lnC68HJySCd0DcvDAAZk5800yMGVA9uwe3TRNmz4mfu/bK0bMnXv8W+TNczPxe1omfr80lP1sTy5sv7DzD7I3+95c7GUWPIjfkvPiwkvEb9dH2HdBWWXxEWIxgPjtOsKj5RC/y3khfuviqFvpEM91FW8Qv4+klyq+i5ZdTn43XUBs2l9gdHsmfN/fVZ6zqnVj+Yz4rRsZxG8dL1tpxG8boWrfx5o3qnkVvjbit51plf1nJ+uI3525u8YkJ7/tsdvkEojfFUfHSfyeYsTvwUz83i8zj87E70wIR/weBc/JbxGXDXLZJrVsA+R6EkQjnmjERO2L2ucl7LuR8V1QavvUOqWEEMkQv3WTtCZeNZZ948elDc3z6GKvrEwqcTDVSa3in77evnlT/pfCJ847yReNul6I51rdaEuFFPFi869pwmmq+Eb8tkVGnO9jzr9xPBaJ5TPit27EfNeMulbSl3Zd74f2DPE7NNGJ9mLNG3G91lt3FRrbLbemPQn1bIdiHnpdVGX/2WlEfPbdLqMbe13MyW+XUaCMCwHEbxdK3cqYE93nnCsv/vCnVS1RHwIqAik2QCqHKNxXBFJugPoKLJ11IkDeRydMFIpEwOXkd6SmMdvnBFj79XkA1Nx91n41D0CfN8/ar88DoAHd5+R3AwahgguI3xXg5VURv6sSpL4nATZAnuCoFoQAG6AgGDHiSYANkCc4qgUhgPgdBCNGPAiw9vOARpVgBFj7BUOJIQ8CrP08oFElKAHE76A4kxtD/K6KHPG7KkHqexJgA+QJjmpBCLABCoIRI54E2AB5gqNaEAKI30EwYsSDAGs/D2hUCUaAtV8wlBjyIMDazwMaVYISQPwOijO5McTvisjJ+b1aZs0+NqfYnjOrPQdnWe4qcn6T8/ufXx+Ws1ae5/wk+uZ4883pViXnWogcaOT8dg6NvCA5v8t5pcqJTM5vXbz6lCbn95HUUsV30bKL+O1yn4fP+IeqEzo/aSi/yuz4vr9j+mSzHcvnFOJ302PXxr71e981o6aNOsqS87sO6vHbjDVvxPdc1wI5v+28quw/O1kn53dn7q4xifhtj90ml0D8rjg6iN+I3zYhwrZAddlkcOHl4QfVdyPju6CssvhA/O4+wdqeHZ/pGfEb8dsnbjR1QjzXmvbay8Z4brT+NE04RfzWjqBI08awWw983996KuFqxPIZ8Vs3Rr5rRl0r6Uvb9haxPEp58jvVX6bHYuVjN9a84eNLzDquQmO7D1x4WW1UEL8Rv6tFUO/XRvyuOIaI34jfNiHCtkBF/Obkd7dpiJPfukka8RvxWxcx+tKI380TThG/9XGM+K1npqkRS8RC/NaMggjit46XrTTit41Qte9jzRvVvApfG/HbzrTK4atO1hG/Eb/tkTe5SyB+Vx1fcn5XJUh9TwIpNkCerlGtDwik3AD1AU66qCRA3kclMIoHJeCS9iRogxiDwBgB1n6EQp0EWPvVSZ+2WfsRA3UTIO1J3SNQrX3E72r8RBC/qxKkvicBNkCe4KgWhAAboCAYMeJJgA2QJziqBSGA+B0EI0Y8CLD284BGlWAEWPsFQ4khDwKs/TygUSUoAcTvoDiTG0P8roo8E7/3/9Vlsuu/bqhqifoQUBFgA6TCReHABNgABQaKORUBNkAqXBQOTADxOzBQzDkTYO3njIqCEQiw9osAFZPOBFj7OaOiYCQCiN+RwCYyi/hdETQ5v8n5Tc7vww+RNj+ZT+4x3/yNvnn0tH1qnVJC5AYm57dukibndzmvVDmRU11QVWyAbt+8SZYuWyEnzjtJFygVSod4ris0L7Z3ThXbrnWbli86VXwXfFzEb5f7PFx5xyjXtDHs1kff93cMbq42Y/mcQvxueuy6joEp57tm1LRRR1nbfUKxfEopfqdaT8Ri5WM31rzh40vMOuT8ttOtsv/sZN1n3233VCT2uviJHdvl+Z3Pyrnvv8DFHa8yrjGJ+O2FtzGVEL8rDgXiN+K3TYiwLVBdNhllm9SyDZCtrSLcbT63PhYaMVH7ovZ5CftuZHwXlNo+tbILsRhA/NZN0pp41Vj2jR+XNjTPo4u9sjKpxMFUm1XE79Nk/oKFvuFQuV7ThNNU8V2AQ/yuHEIqAzHnX5UjisKxfEb8VgwC4rcOlkNpxG8HSBWKxJo3KrgUpaqr0NjeeOvJb9/9YLvNUMxDr4uq7D8Rv/Vh6xqTiN96tk2qgfhdcTQQvxG/bcKVTZBG/B6Ws1ae5/wk+i52fBc3VRYfiN/dh9X27DgHRUtBxO9yaqnEQcRvn6jV1Ynx3Og8EAm9ydO2314+VXwjflcdKb/6vu9vv9bC1IrlM+K3bnx814y6VtKXtu0tYnmE+B2L7KjdWPNGXK/11l2FxnbLiN961q01fA6dubQYYr/brR1OfruMAmVcCCB+u1DqVoac31UJUt+TQIoNkKdrVOsDAik3QH2Aky4qCZD3UQmM4kEJuJz8DtogxiAwRoC1H6FQJwHWfnXSp23WfsRA3QQ4+V33CFRrH/G7Gj8RxO+qBKnvSYANkCc4qgUhwAYoCEaMeBJgA+QJjmpBCCB+B8GIEQ8CrP08oFElGAHWfsFQYsiDAGs/D2hUCUoA8TsozuTGEL+rIkf8rkqQ+p4E2AB5gqNaEAJsgIJgxIgnATZAnuCoFoQA4ncQjBjxIMDazwMaVYIRYO0XDCWGPAiw9vOARpWgBBC/g+JMbgzxuyJycn6T89uWf9WWl4+c3+T87jYNceGlbpIm53c5r1Q5kcn5rYtXn9K2d46PTW0dcn7PlJ1Du7tic3m3a7mHLN+0MezWt17MgxvL5xTid9NjV/MckPNbQ8teNqX4nWo9Ye91uhKx5o10PXBriZzfdk5V7pzqZJ2c3525u8Yk4rc9dptcAvG74uggfiN+24QIxO/OD5nPS9h3I+O7oKyy+AhxAQjit26SRvxG/NZFjL50iOda3+rhGrZ3ThXbrnWbJpym+sudgo/Lye+mC4hNG0PEb7enD/HbjVNRynfNqGslfWnb3iKWR4jfsciO2vXdq8T1Krx1V6GxvWUuvKw2Fj77bpcWY6+LufDSZRQo40IA8duFUpcyiN+I3zYhwrZAddkgl21SyzZAtraKULb53BryGjFRKxT7vIR9NzK+C0ptn1rZhVgMIH7rJmlNvGos+8aPSxua59HFXlmZVOJgqpNaxQbo9s2bZOmyFXLivJN80ajrhXiu1Y22VEgRLzb/miacporvggvity1Cwn4fc/4N6+lha7F8RvzWjZjvmlHXSvrSruv90J4hfocmOtFerHkjrtd664jfdmZV9p+drPvsu+2eisReFyN+u4wCZVwIIH67UOpWhpzfVQlS35NAig2Qp2tU6wMCKTdAfYCTLioJkPdRCYziQQm4iN9BG8QYBMYIsPYjFOokwNqvTvq0zdqPGKibAGlP6h6Bau0jflfjJ4L4XZUg9T0JsAHyBEe1IATYAAXBiBFPAmyAPMFRLQgBxO8gGDHiQYC1nwc0qgQjwNovGEoMeRBg7ecBjSpBCSB+B8WZ3Bjid1XkiN9VCVLfkwAbIE9wVAtCgA1QEIwY8STABsgTHNWCEED8DoIRIx4EWPt5QKNKMAKs/YKhxJAHAdZ+HtCoEpQA4ndQnMmNIX5XRE7Ob3J+2/Kv2vLykfN7WM5aeZ7zk+ibv9E3j16VnGshcqCR89s5NPKC5Pwu55UqJzI5v3Xx6lPa9s7xsamtQ87vmbJzaHdXbC7vdi33kOWbNobd+ub7/g7JS2srls8pxO+mx65mLHzXjJo26ihr21vE8iml+J1qPRGLlY/dWPOGjy8x65Dz2063yv6zk3Vyfnfm7hqTiN/22G1yCcRvh9G5aM06efLp5/KSp86fJ1s3XjteC/Eb8dsmRNgWqC6bDC68PPyg+m5kfBeUVRYfiN/dJ1jbs+MwPR9RBPG7nBrit080ldcJ8VxX8SbGc6P1p2nCaar4Lji5nPx2ebdruYcs37Qx7NY33/d3SF5aW7F8RvzWjYTvmlHXSvrStr1FLI8Qv2ORHbUba96I67XeuqvQ2G659eR3qGc7FPPQ79Qq+89OI4L43TlWXWMS8Vv/vDepBuK3ZTQ+cfV1MvTS8LjgbYTwuXNmy83XX5PXRPxG/LYJEbYFqssGGfH78IPqu9jxXdxUWXyEEMk4+a17ZSJ+l/NKJQ6mOqlVbIBu37xJli5bISfOO0kXKBVKh3iuKzQvtndOFduudUNv8lzb7VQuVXwX7SN+Vx0xXX3f97eulbClY/mM+K0bJ981o66V9KVte4tYHiF+xyI7ajfWvBHXa711V6Gx3TLit551aw3E7878XGMS8btaDNZdG/HbMgLnrLpKPnflJbLq/JV5yS13PyBf23Cb3L9l/WjNLOf33nX/UYY++4W6x5L2+4xAig1QnyGluwoCKTdACrco2icEyPvYJwPd0G66iN8NdR23epwAa78eH8Aed5+1X48PYI+7z9qvxwdwEriP+N3bg4j43WX8tu94SlZ/6sty67e/KKcvXpCXPOJniN+9/QT0sPdsgHp48CaB62yAJsEg9nAX2AD18OBNAtcRvyfBIPZoF1j79ejATRK3WftNkoHs0W6w9uvRgZtEbiN+9/ZgIn4HEL/l7/5O5Etf6u1IwHsIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAApOIAOJ3RfHblvN7cHBQiv/2798vxxxzTJYpZUDeeOONvOUZM2bkf967d6/s2bNH3va2t8kJJ5yQ/3zXrl35z8444wx55pln8v8/99xz5Xvf+55cfvnl8otf/EKWL18ujz76aF7G/G6+37p1q1xxxRVy3XXXyWc+8xnZtm1b3pb5rvjZCy+8kNc3dh5//PG87iWXXCJPP/30+M9NHdO/L40J+z/72c/k2GOPlbPOOiu3941vfCOvf9xxx+V/bi1b9r1pr/CjwH7DDTfIRRddlPe7+LTbNT+/7bbb8j4uWrRovJzhYcpec81o/vXiY/pWMGgf3qL/hm/rp73frvY6+dZa34yXYT9//vx2d/I/d2u7qNA6RqVGxn5oa6uoW8azk91OzMrKl41xN38feughefXVV+WDH/xgt2ITvmuPQ9eK7fHpWk/bp1a7r7zySv68mufQ91P2jGhtVemD5lnQ+qWJQ1fbmnh1tWnK+caPSxsxOLS3WzavuvimLWPm3pNPPlnOPPNMbVWv8q5znpfxDpVCPNdV/EkRLzb/XN9JNjuhvk8V3xp/Xd7tGnuhyzZtDLv1L+b8G5prYa8XfS58b3rsasbMd82oaaOOsnW8+1L3M/V6InX/ytrr5XlDw6/bXt3VTqhnOxTz0O/UUHu3Vp4++26X8Yi9Lv7Nb36Ta2FGM4r1CRGTsXzDbjgCiN8WlmU5v9d99UZ57L6NeU2b+G2E7SlTpmS5wQfl4IH9MvPoN+Vi957du/P606ZPz/+8b99e2ZcJ4HOPf4u8ee7xMm3adHn5paHsZ3tk4aLT5IWdf8gFcnOxl7nk5MMfWS2/evhBOe2MpfK7x3+blzG/L1l2tvzi3p/IxavXSHHx228ffSRvy3xX/Gzojy/m9Y2d1our2i9fbL14o/3SmPYLptov6Wj/vuziwLLL/Mouriq74Mvw+sH3N8jlfz1RWOx2YUGny/C6XTppuwDBdvmY7VIaLrwclrNWnuc8q/leXuR7iQwXXh4emtZnIcQ/fbU9O85B0VKQCy/LqaW6EJALL32iVlcnxnOj8yD7S9unfpev8laESwAAFWJJREFUOf70zz+irRqlfKr4Lpx3SXvi8m6PAsPRaNPGsJvbvu9vRxRRisXyOUXak6bHrmbAfNeMmjbqKGvbW8TyKcTaz9W3VOsJV39SlIs1b6TwXdOGbW/dyRYXXmooH1mWCy8783ONSdKeVIvBumsjfltG4BNXXydDLw3L1o3X5iUvWrNO5s6ZLTdfP3raGPF7tcyafWzOAvF7YWk02RaoLpuMsk1q2QbI1lbhoEY80YiJWqHY5yXsu5HxXVBq+9QaBK8Nvyp3bblVVl92hfdcX/YXRFpjVfrQ2hbi97/Xoncqr3kenQyWFEolDqbarBYboNs3b8r/UvjEeSf5olHXC/FcqxttqZAiXmz+NU04TRXfBRfEb1uEhP3e9/0d1gudtVg+I37rxsF3zahrJX1p1/V+aM8Qv0MTnWgv1rwR12u9dVehsd0y4reedWsNn323S4ux18VP7Nguz+98Vs59/wUu7niVcY1JxG8vvI2phPjtMBRG8H7y6efykqfOnzcuhBdVX3tjv7y2+4CDJYpAIByBFBugcN5iabIRSLkBmmzs6E91Alx6VJ0hFvwJuIjf/tapCYHOBFj7ER11EmDtVyd92mbtRwzUTQDxu+4RqNY+4nc1fnltxO8AEDGhJsAGSI2MCgEJsAEKCBNTagJsgNTIqBCQAOJ3QJiYUhFg7afCReHABFj7BQaKORUB1n4qXBSOQADxOwLUhCYRvwPARvwOABETagJsgNTIqBCQABuggDAxpSbABkiNjAoBCSB+B4SJKRUB1n4qXBQOTIC1X2CgmFMRYO2nwkXhCAQQvyNATWgS8bsibHJ+k/Pbln/VlpePnN9ceNltGiLnt26S1uSo11iOmYfRNodo/OxUNlVOZHJ+hxit7jZSxIutF+T8nik7h0YvLu/0cXm32zjH/L5pY9itrzHn31iMY/mcQvxueuxqxoyc3xpa9rIpxe9U6wl7r9OViDVvpOuBW0uu+ZXbrZHz241vp1Lk/O7MzzUmEb+rxWDdtRG/K44A4jfit02IQPzu/JD5vIR9NzK+C8oql0WGuAAE8Vs3SSN+l/NC/NbFUbfSIZ7rKt7Y3jlVbLvWbZpwmiq+Cz4uJ7+bLiA2bQwRv92ePsRvN05FKd81o66V9KVte4tYHiF+xyI7atd3rxLXq/DWXYVGxG+RJcvODjYAPvtul8Zjr4u58NJlFCjjQgDx24VSlzKI34jfNiHCtkB12SCXbVLLNkC2topQtvncGvIaMVErFPu8hH03Mr4LSm2fWtmFWAwgfusmaU28aiz7xo9LG5rn0cVeWZlU4mCqk1rF6Z/bN2+SpctWyInzTvJFo64X4rlWN9pSIUW82PxrmnCaKr4LLojftggJ+33M+Tesp4etxfIZ8Vs3Yr5rRl0r6Uu7rvdDe4b4HZroRHux5o24XuutI37bmVXZf3ay7rPvtnua3X83/KrcteVWWX3ZFS7F1WUQv9XIqNCBAOI3oQEBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAKTjgDi96QbUjoEAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACiN/EAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEw6Aojfk25I6RAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQggfleIgYvWrJMnn34ut3Dq/HmydeO1FaxRFQIi2pjqVn7L3Q/Iuq/eeATWx+7bCGoIOBHQxqMxun3HU7L6U1+WW7/9RTl98QKndigEAUMgZLwx/xFTVQlo4vETV18n2369Y0KTvGurjkD/1A8Za8x9/RM3sXqqiccvfOU7cuc9DzL3xRqMPrAbMt6Y//ogYCJ2UROLrW4U8yB734iDE8g04rcnSLPRGXppeFzwNg/L3Dmz5ebrr/G0SLV+J6CNKVt5swD42obb5P4t6/sdLf33IGCLrzKT56y6Sl565bX8KxYAHtD7uEroeGP+6+NgCtB1bTyaua/1XWs2Qg88vJ33b4CxmOwmQscac99kj5i4/dPGo9n//qdr1o4fdlh/0x2y+Uf/wNwXd5gmjfXQ8cb8N2lCI3lHtLFYOGhi7r/d+tP8QCx73+TDpm4Q8VuNbLSC2eh87spLZNX5K/M/M9l6gqTaOAFtTNnKE5MEVxUCtvjqZJuT31Wo92/d0PHG/Ne/sRSi577xWLTNPBhiFPrDRuhYY+7rj7iJ1cvQ8RjLT+xODgKh4435b3LERR298I3Fd79vTS5686+e6xg1fZuI33pmpf+sn42OB0iqjBMoi59uMeVSvuyffvHPsAk6FwIu8YX47UKSMi4EYsQb858LecqUEagSj4U9Tj8SWy4EYsQac58LecrEmvvM6cnfPfUsJ78JMSuBEPNfe7wx/1mxU6CEgG8smn/58m9XXyCnnPx2xO8eiSzEb4+B8n1APJqiSp8Q0MaUtrzB2P7PefoELd30IOATX0Uz/EWgB/A+r5Ii3pj/+jzIFN2vEo+mmaL+tZ//5Pi/DlQ0T9E+IpAi1pj7+iigKna1Sjy2pr3joE3FgeiT6inijfmvT4KpYjd9YtGkt3vxjy/nKY/Z+1YcgITVEb89YPs8IB7NUKWPCGhjSlu+dUPOorSPAsuzqz7xhfjtCZtqlf41leuCsyjH/EfA2QiEmP+u/PiFctXai21N8X2fE0gRa8x9fR5kiu5XiceiGfOvXjbccqfwrlWA79OiKeKN+a9Pg0vZbW0stqfXcd2LKN2ieAQCiN+eUMvyAq376o287D15Uq08j3y3mNLGYPFPwViQEm0uBLTxhfjtQpUynQjEjjfmP2JPQ8AnHosY48IjDWnKxo415j5iTEPAJx7b7Rc5cE9fvEDTNGX7kEDseGP+68Og8uyyJhbL0usUzXL4wXMAElVD/PYE7XsjrGdzVOsDAraYMnmlzGfrxmvz323lzSR+/5b14+RM/blzZuf/PIcPBGwEbPHVHo+FPf7220aW78sIhI435j/irAoBbTxyyVYV2v1dN3SsMff1dzxV7b02HtvjzaQCeODh7eT8rjoQfVI/dLwx//VJ4ETopjYWW11g7xthQCKZRPyuANaIP08+/Vxu4dT588ZFyQomqdrnBLrFVJnYaCtfxKfBunzJYoTvPo8vbfdt8WXsFX8ZY/6/Neej+fOc42axAdJC7+PyIeOt1RbzXx8HVYWuu8Zjsekpa4q83xUGoI+qhow15r4+CpxIXXWNR9N8e7yZn/EvTCMNzCQ1GzLemP8maZAk6pYmFltdQvxONEABmkH8DgARExCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEINAsAojfzRoPvIEABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAIEABBC/A0DEBAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCDSLAOJ3s8YDbyAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQCAAAcTvABAxAQEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAs0igPjdrPHAGwhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEAhAAPE7AERMQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAQLMIIH43azzwBgIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABAIQQPwOABETEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQg0CwCiN/NGg+8gQAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAgQAEEL8DQMQEBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEINIsA4nezxgNvIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAIAABxO8AEDEBAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACzSKA+N2s8cAbCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQCEAA8TsARExAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIBAswggfjdrPPAGAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEAhBA/A4AERMQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCDQLAKI380aD7yBAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIACBAAQQvwNAxAQEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQg0iwDid7PGA28gAAEIQAACEIBAXxBYf9MdsuGWO4/o65Ufv1CuWnuxnLPqqvy7+7esP6KM+W7OcbNl68Zr8+9stt79vjVdmc45blbezieuvk62/XpHadlrP/9JWXX+SrlozTp58unnpPhzUXjL3Q/Iuq/eKKfOnzfuV7shFz9WLjtd7rznwfGqF/7ZCvnP/+Hfqdp16UdfBBmdhAAEIAABCEAAAhDoewKI330fAgCAAAQgAAEIQAACaQkU4uyt3/6inL54wXjjRsS+9/5fjYvHRixevmSx3Hz9NeNlvvCV78gDD28fF8VdbbWL1O3itfne2Bp6abijeG3KFOJ3u1/Fz7uJ362UC7G8zI+y7zTtuvQj7YjTGgQgAAEIQAACEIAABOohgPhdD3dahQAEIAABCEAAAn1LwIjaxYnmbhDaReDtO56S1Z/68oRT1662Qorfc+fMzk+IF+J94ZcRxG3iuYsfncRv13YRv/v20aLjEIAABCAAAQhAAAJtBBC/CQkIQAACEIAABCAAgaQETNqShQveMeFEdycHjJD7u6eezU96m9PPRgBuPQmusWXa6Hbi2kU0Nj6861+cLC/+8WV56/FvzlOSmNPo5mN+FlP8dm3XpR9JB5zGIAABCEAAAhCAAAQgUBMBxO+awNMsBCAAAQhAAAIQ6FcChQBd9L/Iud2JR2uu7Mfu2zihmNaWTfx2yfltROjlS96V5/g2/hj/zCnwr3/3f0QXv13aJed3vz5Z9BsCEIAABCAAAQhAoJ0A4jcxAQEIQAACEIAABCBQG4EiZUjhQFk6lEKwLi7D7OSsxlaVnN9G/C4uoTS+FKfRNSeufXJ+u7ar8aO2gadhCEAAAhCAAAQgAAEIJCCA+J0AMk1AAAIQgAAEIAABCNgJmPQhd97zYH6auvVTluvbZq2TLdvJb1vakiLtiRG/zQWdG265czwHuUZ0riJ+29rV+GHjyPcQgAAEIAABCEAAAhDoZQKI3708evgOAQhAAAIQgAAEeoyAEbI3/fDe/OR0+6cQdYuLJIvvO4nfPrZCit/GP5Nz3OQjNx+N6FxF/La1q/Gjx8IHdyEAAQhAAAIQgAAEIKAigPitwkVhCEAAAhCAAAQgAIEqBFpTk7Se8C5+vnzJ4iMuwuwmfq/+1Jdzd1xthRa/W1loROeq4ne3djV+VBlL6kIAAhCAAAQgAAEIQKDpBBC/mz5C+AcBCEAAAhCAAAQmIYHWSyyL7nXK6W1Le6KxZRO/XS+8LDu5rhGdO/lRpGspmBQ50FvTrbSHQ3u7XHg5CR8YugQBCEAAAhCAAAQg4EUA8dsLG5UgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCECgyQQQv5s8OvgGAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACXgQQv72wUQkCEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAASaTADxu8mjg28QgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCDgRQDx2wsblSAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQKDJBBC/mzw6+AYBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAJeBBC/vbBRCQIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABJpMAPG7yaODbxCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIOBFAPHbCxuVIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAoMkEEL+bPDr4BgEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAl4EEL+9sFEJAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEmkwA8bvJo4NvEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQg4EUA8dsLG5UgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCECgyQQQv5s8OvgGAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACXgQQv72wUQkCEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAASaTADxu8mjg28QgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCDgRQDx2wsblSAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQKDJBBC/mzw6+AYBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAJeBBC/vbBRCQIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABJpMAPG7yaODbxCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIOBFAPHbCxuVIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAoMkEEL+bPDr4BgEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAl4EEL+9sFEJAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEmkwA8bvJo4NvEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQg4EUA8dsLG5UgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCECgyQQQv5s8OvgGAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACXgQQv72wUQkCEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAASaTADxu8mjg28QgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCDgRQDx2wsblSAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQKDJBBC/mzw6+AYBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAJeBBC/vbBRCQIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABJpMAPG7yaODbxCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIOBFAPHbCxuVIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAoMkEEL+bPDr4BgEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAl4EEL+9sFEJAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEmkwA8bvJo4NvEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQg4EUA8dsLG5UgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCECgyQQQv5s8OvgGAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACXgT+P2uC64JnKqU0AAAAAElFTkSuQmCC",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The full reaction of E and ES*\n",
"dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"E and ES when [E] init = {E_init}\")"
]
},
{
"cell_type": "code",
"execution_count": 49,
"id": "ee454fdd-62fa-48d3-ac1c-b967279bd1e1",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" E | \n",
" ES* | \n",
" P | \n",
"
\n",
" \n",
" \n",
" \n",
" | 866 | \n",
" 0.400158 | \n",
" 0.409128 | \n",
" 0.590872 | \n",
" 16.1715 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME E ES* P\n",
"866 0.400158 0.409128 0.590872 16.1715"
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.get_history(columns=['SYSTEM TIME', 'E', 'ES*', 'P'], tail=1) # Last point in the simulation"
]
},
{
"cell_type": "code",
"execution_count": 50,
"id": "264292b6-4ba1-4c36-8ea7-29472756a879",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"16.171500029051185"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_equil = dynamics.get_chem_conc(\"P\")\n",
"P_equil"
]
},
{
"cell_type": "markdown",
"id": "97f3ff27-4e2f-4af9-b9f6-ad8e44d6e10a",
"metadata": {},
"source": [
"#### P_equil continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 51,
"id": "ceee7058-2661-4259-a2e6-0bd6732cc2ac",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"11.32005002033583"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_70_threshold = P_equil * 0.70\n",
"P_70_threshold"
]
},
{
"cell_type": "code",
"execution_count": 52,
"id": "6b0b5166-ba0c-4b15-a632-84362fbdcd5c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.08364939325100468"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.reach_threshold(chem=\"P\", threshold=P_70_threshold)"
]
},
{
"cell_type": "markdown",
"id": "c295cb25-41de-4405-83ee-0a5e5db0d304",
"metadata": {},
"source": [
"#### The time at which we reach the 70% threshold of the equilibrium value of P continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "cd775a94-b7c3-4c2b-9da2-4bfacd53fa26",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "bd7d5617-cf3c-4c03-bd77-9ccfcb12dc4c",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "2d43197e-eef6-4ea2-a489-ca6ed165b024",
"metadata": {
"tags": []
},
"source": [
"# 5. Keep increasing the initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 53,
"id": "0b2f4582-ea90-41fe-b69a-c565738e4344",
"metadata": {},
"outputs": [],
"source": [
"E_init = 2.0 # 1/10 of the initial [S]"
]
},
{
"cell_type": "code",
"execution_count": 54,
"id": "fb3ca78d-c024-47b9-be04-5c74d7213727",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"4 species:\n",
" Species 0 (S). Conc: 20.0\n",
" Species 1 (P). Conc: 0.0\n",
" Species 2 (E). Conc: 2.0\n",
" Species 3 (ES*). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'S', 'E', 'ES*', 'P'}\n"
]
}
],
"source": [
"dynamics = UniformCompartment(chem_data=chem_data, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n",
"\n",
"dynamics.set_conc(conc={\"S\": 20., \"E\": E_init}, snapshot=True) \n",
"dynamics.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 55,
"id": "9336e30c-950b-4bc6-844a-68c3653b0244",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"818 total step(s) taken\n",
"Number of step re-do's because of negative concentrations: 0\n",
"Number of step re-do's because of elective soft aborts: 1\n",
"Norm usage: {'norm_A': 812, 'norm_B': 816, 'norm_C': 812, 'norm_D': 812}\n"
]
}
],
"source": [
"# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n",
"dynamics.single_compartment_react(duration=0.2,\n",
" initial_step=0.00005, variable_steps=True, explain_variable_steps=False)"
]
},
{
"cell_type": "code",
"execution_count": 56,
"id": "76f54bfa-0189-4712-b676-667adb514a8c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 56,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Verify that the reactions have reached equilibrium\n",
"dynamics.is_in_equilibrium(verbose=False)"
]
},
{
"cell_type": "code",
"execution_count": 57,
"id": "502e0b54-b059-46d6-830d-b06199c1e666",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_curves() WARNING: Excessive number of vertical lines (819) - only showing 1 every 6 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=S
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "S",
"line": {
"color": "cyan",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "S",
"showlegend": true,
"type": "scattergl",
"x": [
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vrWcan6QuiipfX0r10BW5URyTfqfpgm1OEk/CL/PK9oB9x/qbdEX9yXtUucEX6LDYHd68LGllnxE5okQiPRclykcJ4FGbzUWJOGVwNSJIULCNGnNR4yGqnzQuat4m/S7c/5aXh35htnXWREERK0pgiZqvUX+BouymeJs6BjeIi+IZdx3TOn/7Xz/r+5THrY7OMw5crl1x7dMP7dI+aEuzv3FpW3Buhsek+ZAq/Pvw/LHtv6hxFvWBa9S8SxLWouymwuMzrW+KugeEr9VR7TP1DV6bksRq5Ra8b4bbFrWK2PRr1AdkwTnoUpek/gvm6XK9j7v2JM3hMA+ba3/UmAqXkTZGoj5sDn+wEXWvjrpWujxruYjfLvf2qPEXvN+7XqPKXJWf5R5FGghAAAIQgAAEIAABCLQaAcRvyx43L622f7qatlrWxhJBX5j0UBsVPVzyjHop1DyixPc48UTzeOiRJ3xxIansKOuHMNakld9h2wjbVVJxbQyWHffSGRZL4/7UOqrdNi+ycSJb2J4jTbQNjrc08dtmTBk2UTYhLsJgGVzj+t1mfMVxjGtTeOzk/dP04Ope2w/ItC+S/sQ/zbv63fvvlbgBqUkfHEM2c6uMceBy7UqaO+FrRfg6k2Z/49K2uDEVd90J/z5v/yWNyeCcSJo3+hdH4Q++TF+YcZrUN8F5nucekMQi2Ja4/glfb+LYRNUxzMfcV4MbokbNFdu6xD1CpK38Dm6I63L9ietvm/uS1tX2HqT1f/Dh//U/UHOZv3HzI8w4bn7ltT1JWvkd/HDQ5d4e/lDN9RqVdl2yfAwlDAIQgAAEIAABCEAAAhDISADx2xJcLcTvqD/LT1udZqoffuGLezkLv2SniRJBH2WzuthF3DP1K0P8jmtjsEvjhIJwu13E7zQBMUkoCL9E10r8jrIGUU5BYcxFGCyDqxn/WaxGXOwNoj4EchGf0i4ZLhte2sy/KNuX8AdjwTaF62fmq62oVMY4cBHPzIp1lw9zTJuDH9hF9ZNL2+Lmpu3v4+K0XlH9F65v8K8Ckqx/soihmsbMszRROyigZ70HBFcOJ32AbCs4J33wGc4j6kNcYzM19egJ/l8IaV/Nv3vpgFXkUX8JYysylyF+J83huHqlXfuDH9zF/WWFy/xNm2PmehRXX9vrlM4Xl5Xf4ecWmw9KzJwMC/eu1yjE77S7JuchAAEIQAACEIAABCBQLgHEb0u+5uXFVvh1eVk0eYdtKPIIxnGCSFjki/KjDSMJCi9RHqJpnsxG7AnaeLjwieuiPCJ0+E+9bcXvpHqHX5SThpYRgMoWv4MCWlDYiCo3TbSwEcuycjWsoj4Asvlri6j2JIko4T+tL1L81rbYfDCjcUl1jBOtDKvgB2NmXgZZhfO2bWMZ48B1vkf5Sttce6skfrv0X9y1Ijh/o/pdfxd3HYyaS8FyzIcLLuK3KS/pHhHXlqAAHoxJs46Jun8kCdBhK43gB463/3qJLO9+0v9rqqDgrfm9fecd+v0lha0Qn9beKNuT8D3Tdm4mxYWZuFz7o54DbKxnosZf1DNCkJHhEce3XuJ33PgM1j14DXK5RiF+Wz5oEwYBCEAAAhCAAAQgAIGSCCB+W4KN8idNSuoi9ti+ZLvkaSt+R/25tyWSPuEubqO3YD55hPy4+tgIjGWsULYV3W3EurLF77gVknnE7yTBLc+K+nA/B8WINK/nKq381nZEedlGjWObld9pbY8TxGz7IlwvW/HbZRy4XLuiOBlBLe2DtjSRyaVttiu8TX3D8Wl1sb3OBuNMnsFV8UkrvzWtsc2KKy+pb9KspcwYs7kHhMs34zYostreC11WfgdtXu7w9tc4aNye/faD0DGlG5qGr9e2dXHh6nK9j8rXRfx2ufaHyzJpbT7wjPqrszRLJnONjFpZXy/x21zPsvzlkUmr/0Zdo8q4FmS5fpAGAhCAAAQgAAEIQAACrUoA8duh581Kn6SVqPrS+B8XnevkkWn7Z+suAlLcyjgXz+8gGn0h1ZXbQc9MPZ8mjpg8yhC/k8o2PrJleFPH5Rn0SLUR5pWNixiStKrVdgyZ/ogqN86KwcUbNZyvy4p6XZUZ9nROso4Ijs+4uLh+KMLzO25OGCEkavPR8OUmSeixFYHi2h6VPulDsfcc+Df+hpdljAOXa5e5hgZZua6MjRPJXdqWV/y27b+4W5CWf9z7J/p9EjzCY1p/jhIbbedOUt8Ey8pzD9D+U6HzQ96mrMEjfC21FZxdPL+1PJNv0Oc76ffBc+EPD+ppe5LUV+F62d77ouabuYbZ/HVA+Jpi+0yQ5g1u8+Fx0bYntn3reo2yzdfhcZRQCEAAAhCAAAQgAAEIQMCBAOK3AyzzQqwicPjFLLyKzUXsMaJ6cIWn+V1Wz++w/YTWPc531dQ9vOJJ4z/7lW/7Pqgmv7APr7742oh8ZYjfpj3h8oN+tlH1jmJjK9Iqx6g8g6sL9QOCOF5GVDB97SJ+JwmAaZveBT+wMWVqXYIiYVxdosZy0Vzj+tJ2BXUax+DYDlueKAdbcTV4uYjrY2M3kbZKOTiW4oSeOP9wre+KR5/2P2hLGs9aRjDvKPsmWx/6POPA5XqoYzm8kjjqGhl16U6zJXIZ43nFb62fTf/F3YKi+iqqr9NWQev9KvzXA5rmgH3H9tvMMHxtN/macZznHhB1j4n6aypb8Tt4Lw7bpug5vWcFD9OW8L3CMI5aue5SF9uxmHadsrF4CvdLcJwF22HKSrv2R43R8DXSZf6ae1wUU53HZ3j3R/0QJKr/g88o9RC/4+5DZrx9+18/638Y5XqNSvtrMcfHUMIhAAEIQAACEIAABCAAAUcCiN+OwDQ8zic7+JLp+rIY9o/UvH7kCVx5fLLDfrH6Mqovnpdfdf2AP82N87uMEg2DyGw3pStD/Db1CHvbRtUp7EMafrF2Eb9NueE8o/5cOsr/NFg/VzEk7CNshKmkl+ug2K1113rqEdzIzrQpPA5VWEoby8HxkIdrlL+xzQcrWn7SKteosR0WmbKI31qujSdz0iXGZnWwzfUmXA/lpnP981+9asAHdVF1DvMoehykjaHgnIjqLxdbjbRVlrZtK0L8tr1fxI2RKN/wKFEweA0Ms4rzHjeiseGt6fR+EzzConnUWLS9B4SvQ+ZaFPxrD1fBOdy2uOtF1AdeWn6UABu8r1Rtw0tTt3C7dUyopUvweSF4XTTp4q79Uf7VeZ5ntLyoPMNjMzzX9by2Jeq6FTVHil75HfdMob+P8kAP1inuGpX13pJ03+AcBCAAAQhAAAIQgAAEIOBGAPHbjVfDR+M92fBdSAMgAIEEAjYfKADwLQJpq+VhBQEIZCdg+9dx2UsgJQQgAAEIQAACEIAABCCQRgDxO41QA5/Xl67gyj1EjgbuTKoOAQhYE4iyhrBO3GKB3BdarMNpbs0IcB2qGWoKggAEIAABCEAAAhCAQCIBxO8mHiBRlhs2PppNjISmQQACLULAXP9sfJRbBElkMxG/W7n3aXtZBIwVEc9cZREmXwhAAAIQgAAEIAABCNgTQPy2Z0UkBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEINAgBxO8G6SiqCQEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAvYEEL/tWREJAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACDUIA8btBOopqQgACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAgD0BxG97VkRCAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEIBAgxBA/G6QjqKaEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgYE8A8dueFZEQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCDQIAQQvxuko6gmBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEI2BNA/LZnRSQEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQg0CAHE7wbpKKoJAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAAC9gQQv+1ZEQkBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAINQgDxu0E6impCAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEICAPQHEb3tWREIAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgECDEED8bpCOopoQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCBgTwDx254VkRCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEINAgBBC/G6SjqCYEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQjYE0D8tmdFJAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCDQIAcTvBukoqgkBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAL2BBC/7VkRCQEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAg1CAPG7QTqKakIAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgIA9AcRve1ZEQgACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAQIMQQPxukI6imhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIGBPAPHbnhWREIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQg0CAEEL8bpKOoJgQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABCNgTQPy2Z0UkBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEINAgBxO8COmrdhjdk3WubCsiJLCAAAQhUl0B72yDZcWSn/Omvr1e3ktQMAhCAQEEEOoe0yfBhQ+Qva3sKypFsIAABCFSXwLZDB8vg9kGyZv0b1a0kNYMABCBQEIGR2w6RTb1bZP3rdlreO3YYVlDJZFMPAojfBVBH/C4AIllAAAKVJ4D4XfkuooIQgECBBBC/C4RJVhCAQOUJIH5XvouoIAQgUCABxO8CYTZAVojfBXQS4ncBEMkCAhCoPAHE78p3ERWEAAQKJID4XSBMsoIABCpPAPG78l1EBSEAgQIJIH4XCLMBskL8ztlJl1xyyYAcBg0a1Pe7trZ2aWtrk97eXuno6JDNWzbL0GHbSJsXs7GnRzZsWO/HdnR2yvDhXTKia6R3fpj0buqVZ1c/JWPG7i3bj9pBVq18yPv/XrKtF9O94kH54HEny60//5kcP/00uefO272fp8tt8+bIjNM/Kd/773+Tsz/zL975OfKeCYdLj1fOE4894seY371919374tatXdOXVut0/XWz5IyzP+fX66Y5s+XIDxwnO+y4szz+6Er5w++flyPff6x/7v+//eey1z77+/XSI5i3/nzPr38pb3/HbrL3vuP983944Vl5cOlir84z+vgsWXSX36bxBx3S97twOj0RLtsEB+sX7Ig5131XPjxths8zeETlbc7/6Hv/Jaedfo7fF+EjLr+kupk84uoeLCOpbJv6uZQV1xcDGv3mL5Ytvdf/38ETjogL6ft9ePykJvACzHi1idWY4Hi1TaNxK5c/IOtfXSsTJx3jksyPda1jsICoMe5Sgah545LeZfyk5avi96qHl8h6z+bJZjyk5ZeXbVT+RfEK511WvqacpGuMDce0mCxzMy3PuPPhe0HWfGzTxd0HbNNnifvLSy/6996TZ8zMkjx3mvD9N3eGGTIoe064VqmMcZdX/K7lvHPlpfFZ76dZysqbpgpj3rUNSc+crnnVI76MOVWPdpTxrFGvdgTLLWP+VlH8tnlHqkJ/FFWHej9fFNWOPPk007UnDweT9pmnn+jTcorIrxnzyPqMgPjdjKMhvk0tL37/4/mXy/3LHu1HqHvB7H4/nzTzQnnymRf83+05Zle5efalfecRvxG/08TttPM6mGwe7GxibMrS8lxEC8RvxG9zwUP87v/hXZGPC4jf2Wkifmdnlyely30kTzm2act4WUb8tqVfflzWF9vyaxZfAuJ3Pen3LzvPIobqtKJ/TRC/q9oz+eqF+D1wQT8hfC4AACAASURBVF0+oo2fGvE7vQ+zPiMgfqezbaaIlhe/J087TxbOu7KvT7/09Wtk0dKVfb9TcfwvL6/tE7xVCN9hVJf84Iov+mkQvxG/0wTntPOI31v/UsH2yPqwz8rv+L9ssGWP+I34bTNWyhAhk8pF/LbpleJjEL/TmbLyO52RbUTWF1vb/MuIQ/wug2q2PBG/7bix8tuOU5lRiN+I3+HxhfidPuOyPiMgfqezbaaIlhe/w5258tGnZca5X5M5V18k4/cdKyqOf+GcU2Xa1El+6Lz5i+Sbs+b2E8zx/G6mKUFbIACBOAJ4fjM2IACBViKQd+V3K7GirRCAQOMTqKL43fhUaQEEIFBVAojfVe2ZcuqF+B3ieuX3b5IbfnG3L26HhXANjfod4nc5g5NcIQCBahFA/K5Wf1AbCECgXAKI3+XyJXcIQKBaBBC/q9Uf1AYCECiXQDOJ32GHinLJFZt7lMZabAlbc0P8DlA10C+94Cx/pbeN+D3YSz+3d7N8qKe3jP4hTwhAAAKVIaCb+W4ztN3f8JIDAhCAQLMTaG8fJB2D2+W1Hq55zd7XtA8CEBAZMrhN2rzNzXs28l7LeIAABJqfQGdHu2zevEXe2LTZqrEjthliFVdGUNRehaO2G9HnSFEP8VtdMS687Fox+mnWdiN+ZyWXMZ0Bfs7HT5TzzjzZz8VG/E71/G5vl/a2NtnU2yudHR3e5Nosw7bZVto8Eamn53VZv369X1Zn51AZ0dUlI0eOlGHDtpFNmzbJ755+Svbca2/ZYccdZflDD3r//xvpGtEly5b9VqZN/4jMvf4n8pEZfy+/+uWtcuK0v5Mb5v5EzvrEp+WKf/+6nP/PX5Yb5/xUJh4xSXpe75FV3Sv8GPO70aP36Itbu2ZNX1qt07Xf/Y58+rPn+/X6yY++Lx869njZeee3SfcjK+T5556VKd7Petwy739kv3EH+HXUI5i3/nyHV6/dRu8u4/Y/wD//3HOrZcm9i/w6m2PB3Xf6bTr4kAl9vwun0xPhsk1wsH7Brr/2mqvklFM/Jl0ez+ARlbc5f9W3r5CzPvkpvy/CR1x+SXUzecTVPVhGUtk29XMpK64vBjT6zV/ct3ih/7/DDp8cF9L3+/D4SU3gBZjxahOrMcHxaptG45Y9sFTWrlsrRx39AZdkfqxrHYMFRI1xlwpEzRuX9C7jJy1fFb8fuH+RbPQeEGzGQ1p+edlG5V8Ur3DeZeVrykm6xthwTIvJMjfT8ow7H74XZM3HNl3cfcA2fZa4F1/8k3/v/dgZZ2ZJnjtN+P6bO8MMGZQ9J1yrVMa4yyt+13LeufLS+Kz30yxl5U1ThTHv2oakZ07XvOoRX8acqkc7ynjWqFc7guWWMX+rKH7bvCNVoT+KqkO9ny+KakeefJrp2pOHg0n75BOP92k5ReTXjHlkfUZoFPF73FEzJSh0mz5UQfxtO24v3/jyJ6Qe4ndRYwnxuyiSFvmYTyyMz3cwSZTnt3660b1gth+WKn63tXufoLdJryd+d6j4vWWzDPXEbRW/dSOkDRu2it8dnZ0yfHiXJ4CP9M4Pk95NvfLs6qdkzNi9ZftRO8iqlQ95/99LtvViulc8KB887mS59ec/k+Onnyb33Hm79/N0uW3eHJlx+ifFbOpiNh3r8cp54rFH/JjgRmQmLriBYHhzpuBGYuGNG8MbC4Q3OQtv9BO1OdaSRXf5bRp/0CF92KM2CIrbNDJuo7M5131XPjxths8zeCRtPvSj78VvCBiXn+adtqFl2nnNI6lsU3+bGJuyND+XjcqWLb3Xr8LBE45InU1ZNvdy3YSIDS9TuyEywGb8pOXMhpdseJk2RvQ8G17aUMoXk3Vjn3yl9k/tch8psty4vMoYd3ltT7LcE2vBypSR9X5ayzqasqow5l3bzYaXrsTKi3d91iyvJsXlXMb8raLtSRHPr8VRLz8nNrys/XNk+b2arwQ2vEznl/UZoRFsT1TgfuLp5/vtORhFxIjfeu7+ZY/6IXGCuTmvMUENVLXPSRPGy6KlK+XlV9b5eeji4NG77uyv8DaHSRMlWodXqJvFxVEr142mividPsYLiYjawDKYsXbSX15eKzfPvtT/dfgTFcTv/X1RXg/E72Mjx6SNIG3zYGcTY1OWVtJFtED8lr4PlLJcdKI+4HHJx6WvkvK1GT9p9UL8RvxOGyNR9wKbNHli4j4EzZNnWtp6v5xmfchPa5fL+aKuTS5lJsUifruTLEM8c6+FXYoqjHm7mr4VhfjtSqy8eMRvO7aI33acyoyq9/NFmW2zzbuM+7lt2VWMQ/xO75WszwiNIH7rqu8TP3S4v7o76VCd8slnXvDFauNkoWL2XmN3kx9c8UU/aVjb1P0OZ/34lr6FvRqvorcRt835sL2K5qX6aFi0Dgv1ev5b37vRL1/Pff7sj8j4fcf6ddH6xuWT3uPZIlra89t0VhS6oG+NGUgat+eYXfuEcP35aO97gff9/XUbZSr+aNlGIakgAIGGIMCGlw3RTVQSAhAoiEDeld8FVYNsIAABCNSEQBXF75o0nEIgAIGWJFB18Tu8J2FSJ0XZnnzp69fIqsdXRwrVJi8VvE854WhfMDcrv43QHrUiW/PUleEL513ZT/zW/Gac+zVr/28V1m/4xd0D8jHieBkDsqXF7yKAXuJlcrH3fYq34eW3Xt1YRJbkAQEIQKCSBBC/K9ktVAoCECiJAOJ3SWDJFgIQqCQBxO9KdguVggAESiLQSuK3sXqOQmlWi8eJ38GFwXGi9VOrf+9boxgrk6hyzMry4DmNx/akpAFedLYLvAx19fdob5fYJX99vejsyQ8CEIBAZQggflemK6gIBCBQAwKI3zWATBEQgEBlCCB+V6YrqAgEIFADAlUXvxWBi+3JDqO6+ixONG1w5bcRv9PEafX8Dq/8LkL81nYcevC+ffULWq4gftdgsBdRBJ7feH6n+WynnddxaOPHbBNjU5aW5+LViuc3nt/mWonnN57fNvfNWns14vlt0yvFx7jcR4ovfWCOZYy7vOI3G14W1/NZ/TyLq4F7Tnh+uzMrKwWe33Zkqyh+27z/2LWuMaLw/GbDy/BIxfM7fe5mfUZoBPE7bcNLFbhVrLa1PQkK2WGyeVZ+a15xtidRwjvid/q4rlwE4jfid5rgnHYe8fvf5OzP/Iv13M66QdfK5Q/I+lfXysRJx1iXZQLzvDSx4WUy7jxso3IuS5ArK1/ThjnXfVc+PG2GjOga6Tw+bRLUUoQrQ4RMaiPit80IKD6m7DnhWuMyxh3it2svlBef9cW2vBql54z4nc6oVhFFP2vUqt5J5WR9Hk7KE/G7/j2L+I34jfjtPg+zPiM0gvitNHTVdHDTSf2dEZTNZphp4remUSH9/mWP9rMmUfH80IP3k2lTJ8V6ftus/Favbq3Dy6+s9X289TAbXupGl2FhXNukB7Yn7uO9bikQvxG/08TttPM6eG1WNdjE2JSl5bmIFqz8ZuW3ucCy8puV3zY32zJEyKRyEb9teqX4GJf7SPGlD8yxjHGH+F2LnrMrI+uLrV3u5UQhfpfDNUuuiN921BC/7TiVGYX4jfgdHl+s/E6fcVmfERpF/FYCRrgO0giK0jbid1w+xgolz8pvs1Gl1uPJZ17oq6apo4rst/xqcd/v1Wd81o9vQfxOH97Vili34Q05q71NbuhsZ+PLanUNtYEABAokgOd3gTDJCgIQqDyBvOJ35RtIBSEAAQgECFRR/KaDIAABCJRFoJHE77IYtFK+g7Z4Rys1uIy2qvi9qqdXJm4/1M/+f9b2yGFvbC6jKPKEAAQgUDcCiN91Q0/BEIBAHQggftcBOkVCAAJ1I4D4XTf0FAwBCNSBAOJ3HaDXsUjE7wLgq/i97rVNcsWwwfLNbYbI6M1b5MY1Pf6/HBCAAASahQDid7P0JO2AAARsCCB+21AiBgIQaBYCiN/N0pO0AwIQsCGA+G1DqXliEL9z9mWU57cMGiQqe7fpd1u7990mvb290tHRIZu3bJahw7aRNi9GNyDbsGG9X4OOzk4ZPrzL3+xs6LBh0rupV55d/ZSMGbu3bD9qB1m18iHv/3vJtl5M94oH5YPHnSy3/vxncvz00+SeO2/3fp4ut82bIzNO/6QYXzvjf9njlfPEY4/4MUFPTBMX3DAlvCla0Es17Ccd9lYK+22GvQ6j/EGjNgOM8kiM87KO83qN2zwuyX8xyVM7aTO6NJ/ttPPa/zZ+3jYxNmVpeS5erXh+4/ltLpN4fuP5bXPLLMN7OalcPL9teqX4GJf7SPGlD8yxjHGXV/yu5UazWRiXsWFelnrYpMnq52mTd1kxeH6XRdY9Xzy/7ZhVUfy2ef+xa11jROH5jed3eKTi+Z0+d7M+IyB+p7NtpgjE75y9mSR+a9btnvjdjvjtU0b8PjZ2tNk82NnEIH7HT+iVyx+Q9a+ulYmTjnGe9XlemqI+4HGpQFECk834SasX4jfid9oY0fNliJBJ5SJ+2/RK8TFFXZuKqlkZ4w7xu6jeyZ9P1hfb/CVnzwHxOzu7olPmeY4rui5F5VfGh1eI30X1TvZ8EL9r/xyZvbdqkxLxO51z1mcExO90ts0UgfidszfTxO/e9q3id5u3kruTld/y4NL+4hErv7cOQBth0iYG8RvxO46AzfhJuxwifiN+p40RxG8bQvljsj7k5y/5rRwQv9NpsvI7nZFtRBXGvG1dTRzityux8uIRv+3YIn7bcSozCvEb8Ts8vhC/02dc1mcExO90ts0UgfhdQG8az+9wVt8bOliu2GawrPUsTrq8fUXPer1Xzva8wfX/HBCAAAQajQCe343WY9QXAhDIQyDvyu88ZZMWAhCAQK0JVFH8rjUDyoMABFqHAOJ36/S1thTxu4D+jhO/Nevn2gbJ54d3yH1D1AFcfOFbBXAVwhHBC4BPFhCAQM0IIH7XDDUFQQACFSCA+F2BTqAKEIBAzQggftcMNQVBAAIVIID4XYFOqGEVEL8LgJ0kfpvsVfz+5rAh/UTwqRs3yyk9m+SwNzYXUAuygAAEIFAuAcTvcvmSOwQgUC0CiN/V6g9qAwEIlEsA8btcvuQOAQhUiwDid7X6o+zaIH7nJBzl+T3IszkxR5u34WVbYMPLN7ZslnXbbisbvN8Nff11Gf7qq35oe+dQGTl8hIzoGilDhw2TXs8j/NnVT8mYsXvL9qN2kFUrH/L+v5dsO7xLulc8KB887mRvU7GfyfHTT5N77rzd+3m63DZvjsw4/ZNifO3M5k89PT3yxGOP+DHBDaFMXHDDlLA/ZXAjsbCfdNhbKbzZVNjrkA0v2fAyarq5+jBm3eCHDS//S047/Rzp6OzMfNXD8xvPb5vBU8bGg0nlsuGlTa8UH4PndzpTPL/TGdlGZPXztM2/jDg8v8ugmi1P12fNbKXUNlXW5+GkWlZR/C5iz5ra9ky+0vD8xvM7PILw/E6fU1mfERC/09k2UwTid87edBW/N3vi99Bh20jvoDZ5dePrMmj9er8Grw8dKq92dcl2XdvJXh1DpX3TJsTvfcf39U7cRo5xosec674rH542w/8wIXgkvYgkPVzF5ad5p20ymXZe87B5sLOJsSlLy3MRLZYtvddHePCEI1JnS5YXfdcXkqwP+4jfiN+pAzghwGXOZCkn6RqTJb9wmixzM2u5iN9Zydmny/qQb19CemTZcyK9Bv0jyhh3eVd+13LeufLS+Kz30yxl5U1ThTHv2gbEb1di5cW7PmuWV5Pici5j/iJ+F9c/WXNC/Eb8Do8dxO/02ZT1GQHxO51tUsS4o2b2O73nmF3l5tmX5su0xNSI3znhZhW/27zV4fpStGHDVvF7oyd+v+KJ33/dfnt5w1v5/a6Nb8jwp56Sd3mrvVn5HS8wI373H8CI3/ETGvEb8TvP5b5soQ/xO3vvsPI7O7s8KcueE651Q/x2JYb47U7MLQXitxuvMqMRv+3oIn7bcSozCvEb8Rvx232GIX67M8ubYvK082TShPHyjS9/oi+rk2ZeiPidF2zV09t4ftu0IewLrmnUD/ys1zfJ4d6/bJBpQ5EYCECgLAJ4fpdFlnwhAIEqEsi78ruKbaJOEIAABOIIVFH8prcgAAEIlEWAld/ZyK589GmZce7XZM7VF8n4fcdmy6QOqVj5XQD0osRvU5Xn2gbJjZ3t8r1hg2Xtm/7hKnyf/domTwjvRQQvoM/IAgIQcCeA+O3OjBQQgEDjEkD8bty+o+YQgIA7AcRvd2akgAAEGpdAo4jff/QQP1YHzLt4Ze4TU66u/B61XVelV3qHq474XcAgKlr8NlVS4XuuJ4Lf0dEuuircHLoa/AuvveGvCueAAAQgUCsCiN+1Ik05EIBAFQggflehF6gDBCBQKwKI37UiTTkQgEAVCDSK+D3bg/UPdQA20yvzhwnlhj2/z/n4iXLemSfXoaZ2RSJ+23GKjSrK87ujs1OGD+/yN2gc6nl+927q7bfh5UMrH5Jn/2YfeWz7kXLQ0qVy/YwZcubs2fLGjI/JrrfdIlOPnS63zZsjM07/pBhfO+N/2eN5iz/x2CPyweOmS9AT08QFN0wJb84U9FIN+0mHvZXCfpthr8Mof9Ali+6Sbb12jz/okD7GUR6JbHhptykmnt/xExrPbzy/81zuy/Y3xvM7e+/g+Z2dXZ6UZc8J17rh+e1KDM9vd2JuKfD8duNVZjSe33Z0qyh+/+h7+Z9f7VpfjSg8v/H8Do9ENrxMn5vN7vk930NweTqGwiOmeDleYJnrld+/SWb9+Ba59IKzZNrUSZapahuG+J2Td63E71We+D3G2/xy8IiR8uCKB+Qnnvh9yo9+JLPPOEP+9uabpXfa38nuP/uxnIH47fdonJCU9CKS9HCVJEylCc5p57W+Ng92NjE2ZWl5LqLFsqX3+kwPnnBE6mwJf3iSmsALcH0hybq7PeJ3/pcHXfm96uElst6zYLIZD2X0f1qeLmM7La/g+bLyNWUgfrv0Rv9YxO/s7PKkLHtOuNYN8duVGOK3OzG3FIjfbrzKjHZ91iyzLkXlnfV5OKl8xO+ieid7PojfiN/h0YP4nT6fml38TidQjQi1QjnlhKMru/ob8TvnOKm1+K2rpLtXPOit4j5Zbv759bLwYx+Xsbf9QuaceqrM9MTw+z91nkz5+v8np573RfnNTdfLeyYcLqz8fquTEb+3snARLRC/3QX64GUl6q8bXC47Ln2VlK/Nhydp9UL8XizHT5+RhinTecTvTNj8RIjf2dnlSVnUtSlPHYJpEb/dSZYhnrnXwi5F1hdbu9zLiUL8LodrllwRv+2oIX7bcSozCvEb8Ts8vhC/02dc1meERrE9SSdQ24h58xfJD+f8sp/ft/7uwsuule4Fs2tbGYfSEL8dYMWFluX5bVs19Qa/dujADTJP7emVKRt78Qa3BUkcBCCQSADPbwYIBCDQSgTw/G6l3qatEIBAFcVvegUCEIBAWQQQv7OTPWnmhfLkMy/0y6DKwrdWFPE7e3/3pay3+G0qoiL4Ym9jzGuHDh6wQaaK4CqGd23ZUkCLyQICEGhFAojfrdjrtBkCrUsA8bt1+56WQ6AVCSB+t2Kv02YItC4BxO/W6nvE7wL6uyrid7Ap3YPb5MbOdpnrfasorocK36d4AvhUVoMX0OtkAYHWI4D43Xp9Tosh0MoEEL9bufdpOwRajwDid+v1OS2GQCsTQPxurd5H/M7Z3/X0/L715z/z/GdPk3vuvN3zAJ8ut82bIzNCG17uc+gRsqD3DfnToyvlO6fN8H3BFxx5pLx91937vMEHrXmlL214w8Kgl2p4M8Wwt1LYbzPsdRjlDxrlhxzlkRi3kWOc1ysbXh6bOLJdvFrx/Mbz2wwmPL/x/La5ZZbhvZxULp7fNr1SfIzLfaT40gfmWMa4yyt+Z9kEuhasTBl4fpdLG8/vcvm65I7ntx2tKorfRexZY9f6akTh+Y3nd3gk4vmdPjfx/E5nRAS2J7nHQNXF7+CGl8NP+lt58P9eLzcfdaSseuc75eJLLpErLrpIPvriy7L7z34sZ3jCOeL3OdLR2TlgXCRtRhcnzJtM0s5rnM2DnU2MTVlanotogfiN+I347TZnstxY2PAyC7WtaRC/s7PLk9LlPpKnHNu0iN+2pN6KQ/x2Z+aSAvHbhVa5sYjfdnwRv+04lRmF+I34jfjtPsMQv92ZtWIKVn7n7PVGEr91dbi+HOpq8LvHvlPkP74uF3/1q7LdK6/4K8Lv/9R5MmXdehlyzVUy8+zPDRAVWPk9Q0Z0jRwwYtIE57TziN//Jmd/5l+sZ2LWl/WVyx+Q9a+ulYmTjrEuywTmeWmK+usGlwoUJTDZfHiSVi9WfrPyO22M6PkyRMikchG/bXql+Jiirk1F1ayMccfK76J6J38+WV9s85ecPQfE7+zsik6Z5zmu6LoUlV/W5+Gk8hG/i+qd7Pkgftf+OTJ7b9UmJSu/0zlnfUbA9iSdbTNF1EX8njztPHn5lXWRHKu+Q2hUpavo+W07SO/zNsi8o2OgN7hujqmbZB72xmbbrIiDAASanACe303ewTQPAhDoRyCv+A1OCEAAAo1EoIridyPxo64QiCOwtmeNrOl5BUAVIzBimyHS27tFNvRssqrZoe/cxyqOoGoSqLn4fdLMC2WHUV3ygyu+WE0iGWrVyOK3aa5uiqmbY6oQroK4OVT8VhFcxXDdMJMDAhBoXQKI363b97QcAq1IAPG7FXu9Gm3OK5Ss3bhG1hYotDy3dnXhYNZ4YtA6r561OJ5b96xs8d5jBnnvO3rU4/9lMCyanT7nKaJNnhj0/Lri+7zo+tYqv0bou1qxoBwItDKBLV9FD2vk/q+5+D3uqJly6QVnybSpkxqZW7+6N4P4HWxQ3GrwUzwBfCqrwZtm3NIQCLgSQPx2JUY8BCDQyAQQv+N7L02ctRVfbUSl5z3h0ubQMlVQtRE2VRjWWNtD4zV/l0NX+SknDghAAAIQaG0CXZ0jZbuh2/v3Jz30g7hG+38z9qD3eZ9oj9iu8Xz28880I4aWaRPi95tdvfLRp2XGuV+TOVdfJOP3Hds3AObNXyQXXnbtgAFh7Fka0fNbN8F8+667i/G/C3rGBTe81NXgP587WxaccKL8ard3yEHLl8uY1avliQ+fIFO8FeH7/s8Nst8++8uYsXv5fMJ+m2Gvwyh/0Cg/5CiPxDjf7Div17jN45L8F5M8kdnwUuTgCUekXhjDG6amJvACXH0Ys3oc4vn9X3La6dEbutr0k8bg+Y3nt81YKcN7OalcPL9teqX4GDy/05mae+L002cO+HPnJHE4ThCOE4F9kXXjWr9CYeE3STju3bBR3rdmkswdfuOAxlRNuJ0hM2S59/WY99UoxzSZJs94X1pv10OFkpGd22UWSLo6RkqXlz7P8d6XDpanRjwtL3e+IqO79siTVWTakV4btZ61OEYsHSLbfeAddRWbima4cUOPPLNwlew95d2FIRzq/QWwPuutf32T7Dai+D7PUtFfz7lJ3nfyCTKkY0iW5IWkKbrvkiqF5zee3+Hxged3+jTG8zudERHeh07eQ3JN1+6r7ckHJr9Hzjvz5MrwD3qQR4nf35w1VxbOuzKyvs0sfmuDjagwZKe3yY+e7Jan/vC83HjSST6LGXPnymv7HyAfHz3W9wZH/D42coyw4WXyVEf8TuZTlMDEhpf5bjlF9UNcLZI+YMtX862ps3wwlbVcxO+s5OzTZX3Ity8hPbLsOZFeg/4ROu5Gj3uXjNpl574TUX+2HxaWo8RhtUjQo23QFhkyuF3+/OrLkauE0/IfKkPln7yvy7yvKh7byXYy0/v6T+/L9TDibFw6W/HVRlQaPWJ3GfbEYHljx17ZtH38a8sIT0hVQdVmRZ0Kwxpre2i8q1D7v0uWy+7eM/Le+463LaZScbW+lpfZeNdnzTLrUlTeWReDJJVfRc/vIp5fi2Jei3wQvxG/w+MM8Tt95mV9LmbDy3S2zRRRc/FbV1Inicn1gpu08hvx+zjZYcedxYi4HVM/LN8cNkT2uOlGWX7ggfLYPvv4fuCf++GP5IBDj5DDd9nN70ZWfm8dzYjfybPa9YUk68M+K79Z+Z3n/lK20If4nb13WPmdnV2elElzIigwhwXi4Lmw5++zb/oKq3gZZUsRzCu8MllF3AXel660rcphxO/vdF7tr+LVwwizSeJwnCCsInDUsVWY7eqXvylrt5g0en6HQTvK0l/dLUeefPyAbLW+KnBX5cj6YlvP+if9tWE962VbNuK3Lan6xGV9Hk6qLeJ3ffoyWCriN+J3eBQifqfPy6zPCIjf6WyjIox2Gjw3arsRsQuGs5VSfKqai9/q+Z10GDuR4puanKOL7Um4js3m+W3LXm1Rrh3aLvO9P5HrHswmmbbciINAoxLA87tRe456Q+AtAkZ8DtpuqAhtNscLCtIa88rrr/iJdWO6oEdykhBdL95h0Tjqz/bDMVGCshGMddW3+n63bd42cpWwTf71YkG5EIAABFwJVFH8dm0D8RCAAARsCSB+25LqHxelnf7j+ZfLE08/X2kBvObidza85aeKE7/DJWun/uXltXLz7EvLr1QDlbDAq+vN3vds73vra7J4f0wr3josETVJOaqB2kJVIQABCEAAAvUmoKJz8FvrY37W/69es9qvov7ur6/91V9R/Mwrz/RVO+7/tWjXmO3G9BUT/L/+MvjzdkM94w3v2xzmnDryhc+lpa1FuygDAhCAAAQgAAEIQAACrUwgSju11VPryQ3x+036tp1l4oKrv1t15XfUwNXV4HM72+UObzX4fd5qKXOM3rxFTvE2Tznr9V7fIoUDAhBoPAKs/G68PqPGtSWw1ltBvXXzwbdWUpuV1mZFdXBzwr5V2G+m0drGbXZYVEvMyuew7Yb5fXgTOvN746ds6hH0QK6aRUZRrHTV93DP5u0va3uKypJ8IAABCFSWACu/K9s1VAwCxOheUwAAIABJREFUECiBQKOs/P7jq3+Ux16q/YbfuwzfRfbZcZ8B5BG/HQaj+n5feNm1/VJcesFZMm3qJIdcig21Fb9N3Y343SobXgY9v498/9aNHcPeSmFvwNvv+qU8tcce8p33Hiwqio955hk56p575H8/+nE5pWeTTN24WVYt/LVsO7xLxh90SF+HRnkkxvlmx3m9xvnnJvkvJm2okuTHm+bpnXZeG26zmYtNjE1ZWp6Lf/Gypff6fXPwhCNSJ12WTfXw/E7G6tJXSTnZjJ+0Dlbxe9XDS2T9a5usxkNafnretf/T8iyKV7icsvI15eD5ndaz8eeL9PxW4TlKuDabIpqNEF/5y19k/F/3k/kjf+XHh/2ns7fmrZRmQ8GgSO0L054X8+jnd5HBu3T6m/+pKK2rpHW1dNDSIyhO22wq6FrnsueEa33K8CfOK35nuSe6tjtPfBmewXnqk5Q2q59nWfWxyRfPbxtKtYkp+lmjNrVOLqWM+VtF8buI59cq9JdtHfD8xvM7PFbw/E6fPVmfERpF/J69fLb8w83/kA6i4IiZB82UH570wwG5RmmnJ8280I+rskNGzVd+X/n9m2TWj2+ROVdfJOP3HesDMvDO+fiJct6ZJxfcZXbZxYnfk6ed18+3Rjt1h1Fd8oMrvuhnjPi9v4wZu5fPIvziGXzo11XgN7z4gnTdu1CuPeMMP15XgH/i9vmy57Yj5ITx7+nrKMTv6DFr8/CH+B0/39nwkg0v7e4G0VFlC32I39l7Jyx+BwVs42VtxGvdUFHtQczqauNb7braehfZRaZ5X7O8r+CRJFgHV1QbT+m+Vdj+hoVbNxe0EaqzPuRnpzwwZdlzwrWuiN+uxDwf97Vr5LZ5c2TG6Z90T1zjFFUY865NRvx2JVZePOK3HVvEbztOZUYhfiN+h8cX4nf6jMv6jNAo4vf8J+fL5fdeng6i4Igp75oiF0y6YECuURteHnrwvn0aacHVKCy7movfKiafcsLRA0RuFcVv+MXddTFI1zq9/Mq6PqjBnUpV7H7ymRf6zoU7FfHbTvxWgPqivHTpYnnxtI/12aJMveMOeWXkSHlhwqF9tigP3Xm7vP0du8ne+47v487Kb7vV4Yjf8ddGxG/E7zx3zrKFPsTvgb2TJGLrCmzdoFHF7UP/9B5Z0LlAlq9/KE8X9wnPwZXWRog2myIa0XqnLTvK8w8+LQcfO9kXrWtt+5H1IT83oEAGZc8J17oifrsSQ/x2J+aWAvHbjVeZ0YjfdnQRv+04lRmF+I34jfjtPsOyPhc3ivjtTqTcFLauGeXWwj33movf446aKVEWJ2E7Efem1C8Fnt/Z2HcPbpM7vBXh3xs22LdFMcdhb2yWKRt75dQe/MGzkSUVBMohgOd3OVxbIVf1wn5unWcp8qZgrf/qamy1DNENG83KbF2JnddCRAVrI2AbmxCz6nqrFUhX3+rq3Ubs0Sd6t0I/0EY3AnltT9xKIxoCEIBAfQlUUfyuLxFKhwAEmpkA4ne23kX8tuRWxZXfllWPDUP8zktQ/M0xb+gcLPM72vqEcLVFmeL5gp/q+YOrIM4BAQjUlwDid335V6n0JDFbV2wbu5GtgveaTFWPErGDK7BVyDbitordNnYhmSpCopYlgPjdsl1PwyHQkgQQv1uy22k0BFqWAOJ3tq5H/LbkVlXPb8vqR4Yhfueh1z+trgCf29neZ4tizqoQfoq3EnyqtyIcIbw43uQEARcCiN8utBovNixoq4i9zluZrT7ZwZXZrv7YSkK9sEd7q6yDgrUK2WazRmMnoiuxa20h0ng9RY1rRQDxu1akKQcCEKgCAcTvKvQCdYAABGpFAPG7VqSrUU7NbU+02cbiJIggygqlGoiSa4Hnt5vn94Oe5/fx02f0QV2y6C7ZdniXjD/okL7fGY/EXfY7QK4d2u6tBm+XIY+skDGrV8u8k07yxe/DNm2Ws1/bJHde/0M58gPHyQ477tyvo+L8c5P8F5M2lEzy403z2U47rxW32czSJsamLC3Pxat12dJ7fbYHTzgidUpu7OmR66+bJWec/bnUWBPg6sOYdYMuPL/x/LYelBGBLnMmSzllen6rWL365afk8TuWy/D37dRnN2JWaKvViKugbTZ23CpWj/RFbSNmdz4q8o79xsjbd93dtx8pe0V2eMPLLPxd09TbkzOrt6FrO5Piy54TrnXF89uVGJ7f7sTcUuD57carzGjXZ80y61JU3lmfh5PKr6L4bfP+UxTTKuRT7+eLKjAo435ehXZlrQMbXqaTy/pcjPidzraZIuoifjcTQMTv8sTv4IaXtz/eLU/84TmZNX1aP3/wL8z6royY8mE5deSOoqvDzYH4fWziNHMRLRC/RfK8NEV9wONyDXTpq6R8i3h50JXfqx5eIuu9D55sPgyxaWcetlH5F8UrnHdZ+aZds5IYBldqq3itq7N1I0gjZAdF7aEyVP7J+7rM+4o7wquzje2I/htcmZ0mZtf6pQXx22amFR9T9pxwrXEZ4y7vyu8sHwi7tjtPfBniWZ76JKXN+mJbVn1s8kX8tqFUm5iinzVqU+vkUsqYv4jf9e9ZxG82vAyPQsTv9HmZ9RkB8TudbTNFIH7n7E3E79qI38EVzeoPfu3QwbLY+/ej11zjrwbf8La3ybhNW+QLr73h/3v7j2bJh6fNkBFdI/v1MCu/t+JwES0QvxG/zSRC/O7/lys5bx/9koc/sNsqZm/1ztb/v/DqVlFbf3Zdqa2i9tjhe8rxfz1WHv+b1X0rtFXE1lXbuno7TdB2aWsZImRS+YjfLr1TXKzLfaS4UuNzKmPcIX7Xoufsysj6YmuXezlRiN/lcM2SK+K3HTXEbztOZUYhfiN+I367z7CszwiI3+6sGzlFzcTvcUfNlHM+fqLM+vEtiby6F8xuOJ54fteny5L8wU/1/MGn4A9en46h1KYlgOd3MV2rK7a7X3o4t7AdXKmt4rWxHdl95BjPbqSrcFG7mNaTCwQah0Be8btxWkpNIQABCIhUUfymXyAAAQiURQDxuyyy1cy3ZuJ3NZtfTK0Qv4vhmCcXFcLVH3zxkHbRleHmUCsU9QZXj3A2ysxDmLQQEEH8thsF3S+tkLU9r/grtYNWJPo7PWdzqIC96/Dd/ZXZxn5kvx0P6PPXHuf9nwMCECiXAOJ3uXzJHQIQqBYBxO9q9Qe1gQAEyiWA+F0u36rlXnPxW1eAR21ueeX3b5IbfnG3LJx3ZdUYpdYH8TsVUU0DVPy+b3CbfG/Y4H7+4OM8AXyqtxr8I96q8NGb3/IHr2nlKAwCDUwA8Xtr5xlx+5E/r5B1G3UV9wonOxJdsT1uxwMjhe2iLUgaeLhRdQjUnQDid927gApAAAI1JID4XUPYFAUBCNSdAOJ33bugphWojPg9b/4iufCya6XRbE/w/K6953dwhsR5vRr/3Ed22F7u6GiXuZ3tvhA+7eab5Zk99pBh4w7wbVHUHsVslJm0IWDcBppal6AfedTsTTuvaWw2I7SJsSlLy3PxasXzG89vM65bxfPb+G2bldsqbrevHSRvf3lnuXbztak36a0bRG710VYrEt0s0l+93bmdJ3pHr9hOusakFmgRUMuN98rwXk5qIp7fFgOghBCX+0gJxQ/Isoxxl1f8ruW8y8K4jA3zstTDJk1WP0+bvMuKwfO7LLLu+eL5bcesiuK3zfuPXesaIwrPbzy/wyOVDS/T527WZwTE73S2zRRRGfH7S1+/RhYtXdlwK78Rv6stfgc3vNQV4Yvu/KXc/8495L53v7tvHqsdigrhQ678pnz09HOko7NzwBxH/BY5eMIRqde+LC/6ri8kWV/WVy5/QNa/ulYmTjomtR3hANc6BtMvWXSXbDu8S8YfdIhzua4fVCQVUMTLQ7OI3+q5/Zy3maSK22YzSV3FnWRLMkbGyFHe12zvSwVsFbKNuD1upwNze2wjfmeaHn4ixO/s7PKkRPxOp5flnpiea3ERWe+nxdXAPqesL7b2JRQfifhdPNOsOeZ5jstaZtnpypi/iN9l91p6/ojfiN+I3+nzJByR9RkB8duddSOnqIn4bVZ1p4GKskNJS1Pv84jfjSN+61jRF5Htdh0tG8YfIN8cNkS6Bw/qs0a54PLL5d5PnSfvbxvSb0W4pkP8Rvw++zP/kulyg/idjK3oF1IjyL3vuGP7NpVc5a3cfm7ds77QrRtNqviddARtSVTo1pXbozZuL2ueeEn+9u9mZhoHaYkQv9MIxZ9H/M7OLk9KxO90eojf6YxsI7K+2NrmX0Yc4ncZVLPlWfSzRrZaFJsK8btYnlXJDfEb8Ts8Fln5nT47sz4jIH6ns22miJqI30FgcZ7fjQwVz+/G7T21Qpnf0SY3dA4esFHmuE1b5JSeTZ5P+OY+a5TGbSk1h0B+AlXz/A6u4FaB23hv2wjcZvX2/jsd4G8sqf8m2ZLkp0cOEIBAoxHIa3vSaO2lvhCAQGsTqOLK79buEVoPAQiUSQDxOxvdlY8+LTPO/Vpk4nM+fqKcd+bJ2TIuOVXNxe+S21OX7BG/64K98EJVCFdvcPUIV4sUc6gnOEJ44bjJsAEJ1Ev8Dm4w+cKrz4palKQJ3Lp6e/SbvtsqdI/oGOkL3Gwo2YADjypDoE4EEL/rBJ5iIQCBuhBA/K4LdgqFAATqRADxOxt4I37PufoiGb/v2GyZ1CEV4ncB0BG/C4BYsSwQwivWIVSnEgTKFL91FbcK2mu8f80q7q02JSsS267Ctu+97X0bi5JxO3oe3J74zQEBCEAgDwHE7zz0SAsBCDQaAcTvRusx6gsBCOQhgPidjR7ityW3pCXymkX3gtmWOVUjDM/vxvP8fvs7dpO99x0/YADFbQjoC+HXzZLffOx0uWvHUX3pzIrwacuWyS6rn5UPvP/YyEH5+KMr5Q+/f16OjDmviWw2I7SJsSlLy3Pxal229F6/XWx4ied3ERteGpFbV2/rKu5dl+8oV3R+K9GH28WixGVsu9xFysrX1AHPb5fe6B+L53d2dnlSlj0nXOt268/nyHsmHC5v33V316Sx8XnFbzy/C+sKyernWVwN3HPC89udWVkp8Py2I1tF8dvm/ceudY0Rhec3nt/hkYrnd/rczfqM0Cji9+ZXN0vvS73pIAqOaBveJu07tg/IFfHbEvTkaefJpAnj5dCD95NvzporC+dd6ac8aeaF8oHJ76msP0xc8xC/m1/81r43wtSWkdsNsEY5aPly2Wv1ann+uBMiPcJtBGmbBzubGJuytD0uogXit0iel6ZW3fAyaFWy5PcL/RXdUVYlF8vWr7BNyX5vruhW4dvlcBnbVcjX1AHx26U3+scifmdnlydlWXMta50Qv93JlbFhnnst7FJkfbG1y72cKMTvcrhmyTXPc1yW8mqRpoz5i/hdi55LLgPxG/E7PEIQv9PnZdZnhEYRv3se7pENt2xIB1FwROeBnbLNidsMyBXPb0vQZsPLd+3xDvnUl77VJ37Pm7+onxhumV3dwxC/W0v8HtH1lpWCsUZ55LFHZNPzz8q8k07yx2PYI/yPq1aw8jthprq+kGR92F+5/AFZ/+pamTjpGOfrhmsdgwU0u/gdXMmdJHIbJipyqy2J2WhSFm2Qw2dM9S1LijjKEuTKyte0GfE7e+8jfmdnlydl2XPCtW6I367ERLLeT91Lyp8i64tt/pKz54D4nZ1d0SnzPMcVXZei8itj/iJ+F9U72fNB/Eb8Do8exO/0+ZT1GaFRxO83nnpDXr/39XQQBUcMedcQGXrE0AG5svLbErQRv6dNnST6f2NzouL3hZdd23C2J9psPL8tO7+Jw+I8wrXJh72xWaZs7JVTe3p9YZwDAo1IQEXuR/+yQn73arc89uLTqZtOhkVuFbvx4m7EnqfOEGhdAnltT1qXHC2HAAQakUAVxe9G5EidIQCBxiDQKOJ31Wgiflv2iNqb7Lf3HvKNL3/Ctzox///S16+RRUtX9q0Et8yuEmGI35XohspUAiG8Ml1BRTISUMsS3WxSV3KrN/fz61b7P0cdiNwZIZMMAhCoPAHE78p3ERWEAAQKJID4XSBMsoIABCpPAPE7Wxchfmfj5q/+Nsecqy+S8fuOzZhT/ZIhftePfdVLDgrh3YMHif5sDl0RfvgbvfIRb0X46M2sCK96XzZj/cKWJSpwq/AdJ3Lvv9OBstcOY+WdI/bzbUtYyd2Mo4I2QQAChgDiN2MBAhBoJQKI363U27QVAhBA/M42BvD8zsat4VPh+d26nt9m8KZtMmnOv/sDx8n8jja5oXOwhIXwL19+uWz8xKdkYnuHb5MSdbDh5VYqWT0OW93z+4fXfEveduQ75bE13bL4hYWJq7nVf3t01x6+D3dw48n2tkGy6uElsv61TXLwhCMKuX4X7cNZlg9xWfkaiHh+Zx9OeH5nZ5cnZdlzwrVueH67Est+P3UvKX+KrH6e+UvOngOe39nZFZ2y6GeNouuXJb+sz8NJZVVR/LZ5/8nCr6pp8PzG8zs8NvH8Tp+tWZ8REL/T2TZTxKAt3lHLBgU9v2tZblllIX4jftuK30e+/9i+YagrwFUAVyFcBfFP/du/yX9+7nPy+tChvi+4+oOrT3hQCLd5+Euri6mAi2ixbOm9fjIbsXNjT49cf90sOePsz1lPOdcXkqwP+60kfuvq7e4/P+yv4u5+aaX3/bB8qudc+U/v63XvyxyuliWI34vl+OkzrMe2SyDitwut/rGI39nZ5Unpch/JU45tWsRvW1JvxWW9n7qXlD9F1hfb/CVnzwHxOzu7olO6PmsWXX4Z+ZUxfxG/y+gptzwRvxG/wyMG8Tt9DmV9RkD8TmfbTBGI3zl7E/Eb8TtNcE47r0PwB9/7tjx/7qfl+q5t+1mjqBA+dePWDTP/eNUV8tHTz5GOzs7YUWtTliZ2ES0Qv0XyvDQtWXSXbDu8S8YfdEimq01aX933wm98X+5Vf1np+3Lrz1HHlwd9WRbuskQmjD6s32pul0ohfiN+24yXMkTIpHIRv216pfiYtGtT8SUm51jGuMtre5LlA+FacitDPCur/llfbMuqj02+iN82lGoTk+c5rjY1dC+ljPmL+O3eD0WnQPxG/Eb8dp9VWZ8REL/dWTdyipqL37rJ5Qcmv0fOO/PkRubWr+54fjdNV1aiIfcNaZP7Bnv2KEMHy3OezYQ5VAgft2mLL4TrynD9maO1CASFbrOyO4qAsS05bNf3edYl4wvz5lbxe8eRnfKnv761ery1eoDWQgACrUQgr/jdSqxoKwQg0PgEqih+Nz5VWgABCFSVAOJ3VXumnHrVXPxWc/RPfelbsnDeleW0qA65In7XAXqLFKni9/yOdrnD+1ZRPHioJcphm7ZumhnnE94imJqymca65L7fL+qzMEkSuie+Y3Lpm1AifjflUKNREIBADAHEb4YGBCDQSgQQv1upt2krBCCA+N1aY6Dm4rd6ficd3QtmN1wPIH43XJc1ZIXVJ/wOzx98bsSGmboK/BRvNfhUb1W4rg5nVXhjdbEK3WpZsuT3C30LkzjrErOiuxZCdxRBxO/GGlfUFgIQyEcA8TsfP1JDAAKNRQDxu7H6i9pCAAL5CCB+5+PXaKlrLn43GqC0+uL5jed3ms922nkdYzabWQZjzIaZuiJ8bmd7n0/4QcuXy16rV8u6Y4+Xid7K8Dh7FBevVjy/i/X8XtuzRhZ7vtyrPMF78QsL/c0o9Xfho0/o3vZw2fYPnd5Gi6eJblCZ9bAZY2l54/mN53faGNHzZXgvJ5WL57dNrxQf43IfKb70gTmWMe7yit94fhfX81n9PIurgXtOeH67MysrBZ7fdmSrKH4X8fxq1/pqROH5XfvnyGr0fHwt2PAyvYeyPiMgfqezbaaImovfuvL70gvOkmlTJ/XjeOX3b5IbfnF3w9mhIH4jfqeJ22nns4jf4YuQ8Qlf/egjsun5Z2XeSSf1haglim+N4lmkGHsUF9EC8Tuf+P3z+T+Wl3pfkiWDlnhC99YV3uFjdNceni/3ARK1otulr5JuTkW8PCB+I37bPACVIUIifvcnkPUh36b/bGOKujbZlpcWV8a4Q/xOo16781UY866tRfx2JVZePOK3HVvEbztOZUYhfiN+h8cX4nf6jMv6jID4nc62mSIqI37Pm79ILrzsWmk02xPEb8TvNHE77XwR4re5KGlZz/7+eXnmwyf4XuHdgwf1rQrXGLVD0dXg7376GZHFC+Wk6TNSr2eI3/bitwrbKnAH7UumylR5xfta4n35feCt3h6344G+P7eK3WaFd1xHFCUwIX6nDvXEgKL6Ia6QOdd9Vz48bYaM6Mq+uj+pAbVcgVqGCIn4jfidNoPLGHeI32nUa3c+64tt7Wo4sCTE73rS71824rddXyB+23EqMwrxG/Eb8dt9hmV9RkD8dmfdyCkqI35/6evXyKKlKxtu5bd2Pp7fjTwFmrvucfYoptW6EnyK5xOuXuGjN29pbhgltE69udWjW8XuuFXdKm6P2+lAOewdk/x/9edGPfD8btSeo94QgEAWAnnF7yxlkgYCEIBAvQhUUfyuFwvKhQAEmp8A4nf9+1gdQPQ478yTS69MTcRvs6o7rTVRdihpaYo6v/LRp2XGuV+TOVdfJOP3Hdsv25NmXihPPvOC/7s9x+wqN8++tN95xO+ieoF8yibQPbhNFnvf6hWuVinBQ8VvFcFVDGfTzIE9EbWqOxylq7oP3/V9kfYlZfdtLfJH/K4FZcqAAASqQgDxuyo9QT0gAIFaEED8rgVlyoAABKpCAPE7W08Y7TQq9TkfP7FPyFbL6+AR1FKNxqrxesz68S2RWmu2Gkanqon4HSw6zvO7yEa55jV52nny8ivr/GRh8fsfz79c/vLy2j7BWztph1Fd8oMrvthXDOK3K3Hiq0BAV4XP72jzRPB2/1/92Rxqj6ICeCuvCteV3N1/flju+/0i/1/9OXyYVd1Tx54gu43YvaFXdduMScRvG0rEQAACzUIA8btZepJ2QAACNgQQv20oEQMBCDQLAcTvbD2ZtHDY5Kga66QJ4+UbX/5EXyGqpYYXEhuBvBb21zUXv7PhLT9VXAdqp33hnFP7NujUVezfnDW3z54Fz288v9M8vdPO6+i28WO2ibEpS8uL8i82m2Yu9sTw4Krwo+65Rzo9MXz0xEn+hpmHe98qjkcdWXyFXX0Y161dI7fNmyMzTv+k04Vh5fIHZP2ra2XipGMi0wUtTBZ7diZre9b0xV0sF8sVnd/yvboP33WyHOZ96/91pXfasWTRXbLt8C4Zf9AhaaGR54vymrYZP2kVZMNLNrxMGyN6vgzv5aRyb5ozW478wHGyw44721SvkJh6e3Jm9TYspPFvZlLUtamoOpUx7vKK31nuiUXxsMkn6/3UJu+iY6ow5l3bhOe3K7Hy4l2fNcurSXE5lzF/qyh+F/H8Whz18nOq9/NF+S1ML6GM+3l6qdWNYMPL9L7J+oyA+J3ONioiTfxOO695tsTK72x4y08V1UE2v0P8RvxOE5zTzuvotnmws4mxKUvLSxMtdBX4Hd5qcBXC19y3UHq8nxcceWTfRNwqgvfKYZs2+4K4ObK86Lu+kGR92A+K3ypsd7/krep+YaEs9r5V+A4fo7v28FdyH+bZmGxZuF7O/sy/ZLoQIX4nY3Pt/7ROSBvbaenjzpeVrymPDS+z9owI4nd2dnlSlj0nXOtWxssy4rdrL5QXn/XFtrwapeeM+J3OqFYRRT9r1KreSeVkfR5OyhPxu/49i/hd+0UU9e/15Bogfqf3UNZnhIYRv//4R5HHHksHUXTELruI7LPPgFxtxG1dRDxqu64BK73DmTWd53e4gUGbkfC5Wix3jxoTNkK3pgvHpYrf7e3S3tYmm3p7pbOjQzZv3izDttlW2jwxsafndVm/fr1fnc7OoTKiq0tGjhwpw4ZtI5s2bZLfPf2U7LnX3t5qth1l+UMPev//G+ka0SXLlv1Wpk3/iMy9/ifykRl/L7/65a1y4rS/kxvm/kTO+sSn5Yp//7qc/89flhvn/FQmHjFJel7vkVXdK/wY87vRo/foi1u7Zk1fWq3Ttd/9jnz6s+f79frJj74vHzr2eNl557dJ9yMr5PnnnpUp3s963DLvf2S/cQf4ddQjmLf+fIdXr91Ge1YQ+2/d4O+551bLknsX+XU2x4K77/TbdPAhE/p+F06nJ8Jlm+Bg/YL9eu01V8kpp35MujyewSMqb3P+qm9fIWd98lN+X4SPuPyS6mbyiKt7sIyksm3q51JWXF8MaPSbv7hv8UL5kzde/zD5fXJre5ssbH/LHkVDRnqLwI/v3SzjPc/wKRtek/mzruobP3F5Bn9vxqtNrMYEx6ttmjU9r8gtd98kz774jCzuuE8WPnfPgKQH7HygjPe+P7zniaL/333kHn0xrnUMZh41xm3r7dpXSfnajLG0eg3yxsED9y+Sjfqhx+GT08KtzudhG1VA1HXGqiIpQWXla4pNusYUUf/wtb2IPOPyCN8LyixL8467D5RZ7osv/sm/937sjDPLLCY27/D9tx6VKHtOuLapjHHX7t3vOga3y2s9m1yr48fXct5lqWCW+2mWcopIU4Ux79qOpGdO17zqEV/GnKpHO7TMop816tWOYLllzN8h3r5AbW3eO6q3/09VjiKeX6vSFpt61Pv5wqaOZcc007WnCFZPPvF4n5ZTRH7NmEfWZ4RObx+0zZ6G8Yb3bmtzjNhmiE1Y8TGzZ4v8wz8Un29ajjNnivzwhwOisnp+B/3A04ou43zNbU+iPLPLaJhrnlnFby2nx1sBuzGw+tW1bOIh0EgE1nja9wrvwfg2Twi/1RMGng14hWs7dvcsUY7v3SKTvO/J3oc9Ko7X+lCxe+Gzv5FFz3vfz94jK158eEAVJo8+Usa/7UCZtNv7ZPLu75ORndvVupoNV56K39sMbZf1r2UTghquwVQYAhBoaQJ5xe+Whkf06VZ+AAAgAElEQVTjIQCBhiNQRfG74SBSYQhAoGEINIz4PX++yOWX157rlCkiF1wwoFybld/hRLrCWze1vPSCs/ospWvdoJqL31Xc8FKhu3h+X3jZtRJcoc6Gl7UetpRXJQLPeUL4fO9T0yVD1Cal/8aZWk+1RVF7FN8mpaQPidTGRH261b5ErUyiNqdU+xJXv+4qca5CXdjwsgq9QB0gAIFaEchre1KrelIOBCAAgSIIVNH2pIh2kQcEIACBKAINY3tSse7LIn5rE9QB5JQTjpbzzjy5Li1C/H4Te1wH/uP5l8tfXl7b51UTtXId8bsuY5dCK0ogbuNMra5ulDluk2eP4v055eGeID7O8k+Mwk01YveS33ue3d7q7jSxW4VvjvwEEL/zMyQHCECgcQggfjdOX1FTCEAgPwHE7/wMyQECEGgcAojf2foqTfyeN3+R/HDOL/v5fevvwouIs5WePVXNxW8Vjz8w+T11U/ujUIU9yEdtN0IWzruyL9TsRKq/2HPMrv06MdXzu63d805rk17P87tDPb+3bJahnqe3en7r5oAbNmz1/O7o7JThw7s83++R3vlh0rupV55d/ZSMGbu3bD9qB1m18iHv/3vJtl5M94oH5YPHnSy3/vxncvz00+SeO2/3fp4ut82bIzNO/6SYTV3M5k89XjlPPPaIHxPcEMrEBTdMCW9YGNxILLyZYnhjgfBmU+GNfqI2x4raDDBqg6C4jRzjNjqL2zwuafOhpA0lkzajS9tkMu289r/NZpY2MTZlaXkuG5UtW3qvP0YPnnBE6pUmPH5048zuwbp5Zrss9nwEu73v4KFi+Plf+5rI//myTPUE8dGe51bUYTaovON3t8pTf3xcDvjjfvKf3lfwCK7sjhK7gxtepjYkFJBnoyQ2vEymnYdtVM4uY9tlHJSVr6kDG1669Eb/WDa8zM4uT8qy54Rr3djw0pWYSBkb5rnXwi5F1s2s7HIvJ4oNL8vhmiXXop81stSh6DRlzN8qit827z9Fs61nfmx4yYaX4fHHhpfpMzLrMwLidzrbqAgbz++ghmryqNf+jqb8movfqvh/c9bcfuJyNuTVSIX4vb8vyuuB+H1s5KC0EaRtHuxsYmzK0kq6iBZ5xO8wEBXD7+hQe5R20RXiaply8SWXyMVf/aofqmL4lI1bLVJGP323b2Gy2PtWOxNzbCfbyUzv6/5dl/XZmNis7Eb8/i857fRz/A/ash668nvVw0t8z2+bD0Nsyin6hdRlbNvUz8SUla/JH/HbpTf6xyJ+Z2eXJ2XZc8K1bojfrsQQv92JuaVA/HbjVWZ00c8aZdbVNm/Eb1tSjRWH+I34HR6xiN/pcxjxO50RESI1F7/V8zvpqPenAa6DAvEb8TtNcE47r2PORti2ibEpS8tzES2KFL/D88v3C//25bLqgq/IDX9dKfLMApHHbhb503KR11/pFz569yNl6qjxcvTbPih/uO9p/68cXA7Eb8Rvl/ESjnWZM1nKQfzOQm1rGsTv7OzypCx7TrjWDfHblRjitzsxtxSI3268yoxG/Lajy8pvO05lRiF+I36Hxxfid/qMQ/xOZ0REHcTvZoSO53cz9iptKpvAc2tX+yu61cpEPbv15+DR9bYDZe2Yo0XGHOl9HyUydDvfFsXfQPPNzTPjbFLKrnur5o/nd6v2PO2GQGsSwPO7NfudVkOgVQlUUfxu1b6g3RCAQPkEsD0pn3GVSqj5yu8qNb6ouiB+F0WSfJqZgNmk0he7//zwgE0qR3ftIWpfMuWdx8u4HQ8Q/Vk9wtUrfIlnkbLY+1bblOCh4vdETwxXmxQVxRHDyx1BiN/l8iV3CECgWgQQv6vVH9QGAhAolwDid7l8yR0CEKgWAcTvavVH2bWpi/gdND+/9IKzZNrUSaJ2KIcevK/84Iovlt3mwvNH/C4cKRk2CQFd2f3In1f4q7uDvt3avK7OkZ5n95ti904H+oJ32mEjhqsIvt+mzYkbaKaVw/loAojfjAwIQKCVCCB+t1Jv01YIQADxmzEAAQi0EgHE71bq7TrYnqjwvcOoLl/knjztPPnCOaf64veV379JbvjF3Q23ESae33h+p/lsp53XS46Nn7dNjE1ZWp6LV6uL5/fTLz0pd/3PPLlv9996G1X+RnS1d/DQld2H7zrZW+Gt3+/zT7n6MAY3+FEx/D79jlkZrhtoHu6J4bo6fMxv75cRa9bIxEnHOF/lXesYLGDJortk2+FdMv6gQ5zLde2rpAJsxk9aBdnwcrEcP31GGqZM5/H8zoTNT4Tnd3Z2eVK63EfylGObFs9vW1JvxZWxYZ57LexSZPXztMu9nCg8v8vhmiXXPM9xWcqrRZoy5m8Vxe8inl9r0R9FlYHnN57f4bGE53f67Mr6jID4nc62mSJqvvJbV3jPufoiGb/v2H7i97z5i+TCy64VNrwcKUOHDZPeTb3y7OqnZMzYvWX7UTvIqpUPef/fyxfRulc8KB887mS59ec/84SY0+SeO2/3fp4ut82b428CaB7wzItgT0+PPPHYI35M8OXQxAUfnjZ6sddfN0vOOPtzA0SFsLAavsiEXzzDD/1RL8pRwmDUy0KcqBsnesQJSUkvIkkPV0nCVJrgnHZeQds82NnE2JTlKqimid/Gt3vx87+Rp156XP7J+7rM+9LDWJlMHXuCHPaOyf5q7/Dh+kKS9LDvb6DZ0S6rPEF8fkd/m5SJS5bIzp74/edjPrjVJsVbHT5u0xZRgTztcK1jMD/E72S6edhG5VyWIFdWvqYNiN9pszD+POJ3dnZ5UpY9J1zrhvjtSowNL92JuaVA/HbjVWZ00c8aZdbVNm/Eb1tSjRWH+I34HR6xiN/pcxjxO50REXVY+a2rvb/zjc8PEL9Z+d0pwz1he0QX4jfid/SlqSrid3CjyvDq7p06d5Zz3vikjDp6N39lt4rfaYfrC4nLw76K4boq/L4h7bJ22VKRtWtl/pQp/ao0zhPBD/e+1SolzjfctY6I32m9/tb5PGwRv+05hz/YtE/pHlmGCJlUC8Rv9z4qIgXidzrFWs679NoMjHC5n2bJv8g0WV9si6yDa16I367Eyosv+lmjvJra51zG/GXltz3/siIRvxG/Eb/dZ1fWZwRWfruzbuQUNV/5/aWvXyOLlq707U2M7cm79niHzDj3a3Lihw6Xb3z5Ew3HE8/vhusyKuxIILi6u/ulFf3FY8+r+/Ddtnp3GysTx+xrFq4bZm4Vw9vkkfat/4YPs4mmEcX1X46tBPD8ZiRAAAKtRADP71bqbdoKAQhUUfymVyAAAQiURQDxuyyy1cy35uK3YjAWJ0Ek53z8RDnvzJOrSSmlVojfDdltVDqBQNLq7uBGlbaru6sKW8Xw7sGDfCH8Ds8uRf+vvwseaoui9ij79271DlcPcRurlKq2OU+9EL/z0CMtBCDQaAQQvxutx6gvBCCQhwDidx56pIUABBqNAOJ3o/VYvvrWRfzOV+XqpUb8rl6fUCN3Arq6e/7Tv5D7Xlgojby6273l/VOoVcpWIXzrynD9OXy06upwxO+8o4v0EIBAIxFA/G6k3qKuEIBAXgKI33kJkh4CEGgkAojfjdRb+etac/H7H8+/XO5f9uiAjS11I8xDD95XfnDFF/O3qoY5XHLJJQNKGxRYOdrW1i5tbW3S29srHR0dsnnLZm9Dy22kzYtRL8gNG9b76Ts68fw2IPH8jh7ARXt+L13yG+nZb4vc9/tFnuD9G9HV3uYIru7e6aUdZKS3UeXBE45InVlZ/E1dfRizehyuXP6ArH91rUycdExqO4IBuhJ87pWXywtfvNBfIZ62OjzsHc6Gl8m4Xfs/rfPK8iEuK1/THja8TOvZ+PN4fmdnlydl2XPCtW5leM3nFb+z3BNd250nPuv9NE+ZWdNm9fPMWl4R6fD8LoJiMXkU/axRTK3y5VLG/K2i+G3z/pOPZLVS4/mN53d4RLLhZfoczfqMgPidzraZImoufqvP9yknHD3A4oQNLxG/Eb/P8T8EiTtsHv4ef3Sl/OH3z8uR7z82MhsVuHV1928fWyQ7vTRKZntf5tDNKaeOPWGAd/eypff6Ia0qfmvbwy9N/qpw7ztpdbhao6hFysRf/Uq2G9ElU8a/J5NdSlECk834Sbu56crvVQ8vkfWvbbIaD2n5RbG1SZMUUxSvcBll5WvKQfzO3vOI39nZ5UlZ9pxwrRvitysxkTLEM/da2KXI+mJrl3s5UYjf5XDNkivitx01xG87TmVGIX4jfofHF+J3+ozL+oyA+J3Otpkiai5+6wrvSy84S6ZNndSPo/EB714wu6H4svJ7fxkzdi+/z8IvnuGH/qgX5ahVsaz8jp4CNuJllPhtNqtU0dus7h4jY+Qo7+t/d326T/BW8TvqQPweKH6HOQW9w5d4VimLvW/jHT71jjvklZEjZcnEiaJ2KYd5griuDlcPcfUST/MPL0pgshk/aRdfxO/Fcvz0GWmYMp1H/M6EzU+E+J2dXZ6URV2b8tQhmBbx250k4rc7M5cUiN8utMqNRfy244v4bcepzCjEb8Tv8PhC/E6fcYjf6YyIEKm5+N1sK791EOH5zVSqEoG1PWtksWdjcsfvbh1gZ6ICt25SOeWdx8vh3r9qb8JRDgH1ClchXFeHx9mlaMlBQfxwTxQf3ZsuiJdT4/Rc8fxOZ0QEBCDQPATy2p40DwlaAgEItAKBKorfrcCdNkIAAvUhwMrv+nCvV6k1F7/V3mTWj2+ROVdfJOP3Heu3e+WjT8uMc78m53z8xAF2KPUC41Iu4rcLLWLLIKArunWF9w2P/dT/N3jE2ZmUUQ/yTCagQnh3u2cd4v27+E3blKgU4zwRfD9PBNd/bVeI14I94nctKFMGBCBQFQKI31XpCeoBAQjUggDidy0oUwYEIFAVAojfVemJ2tSj5uK3NstYnASbGGWFUhsE+UtB/M7PkBzcCXS/tEIWP/8bufGxn4j+P3iY1d3q4R1nZ+JeIimKJqDWKM95YrgK4SqIqzCuAnnUkcUypej6In4XTZT8IACBKhNA/K5y71A3CECgaAKI30UTJT8IQKDKBBC/q9w7xdetLuJ38c2oX454fuP5nbbJZNp5Hb02fswa864Pjpc7n5/vb1pp/Ls1vdqXqI3J0UOPkVEbR8lxUz+SOClcvFrx/E73/E6CHeVrnxRvBHGzoeaLzz8rYxb9RmafccaAZCqI6+rwiZ6PuPm//ht12IyxtCspnt94fqeNET1fhvdyUrl4ftv0SvExLveR4ksfmGMZ4y6v+L2xp0euv26WnHH252qBwLkMPL+dkTklwPPbCVepwXh+2+GtovhdxPOrXeurEYXnd+2fI6vR8/G1wPM7vYfw/E5nREQdPL+bDTriN+J3mriddl7nRNKDnbEz2fOx0XLFlivkde9Lj6B/t67w1sOmLI1zES0Qv2srfoevkdpXS5culj0/8tF+lim6YtxsqhlMoxto6kaaapeiG2uOe9M+pYiXB8RvxG+be3gZImRSuYjfNr1SfIzLfaT40gfmWMa4Q/yuRc/ZlZH1xdYu93KiEL/L4ZolV8RvO2qI33acyoxC/Eb8Do8vxO/0GZf1GYGV3+lsmymiLiu/ddPLl19ZF8mxe8HshuKL+I34nSY4p53XAR8UJoMbVs5/+hbRn/W4wPu6ccT/lWPeNcXfsFKtTcKHTVmaxkW0QPyuv/j9oCd+Hz99xoD+1k017/M21VTLlKRNNTXhhZdfLk+d8xnZZ3CHv0r8cG+1uArlLgfiN+K3zXgpQ4RMKhfx26ZXio9xuY8UX/rAHMsYd4jfteg5uzKyvtja5V5OFOJ3OVyz5Ir4bUcN8duOU5lRiN+I3+HxhfidPuOyPiMgfqezbaaImovfJ828UHYY1SU/uOKLTcMRz++m6cq6NUQFbhW67/jdrb6lSfAYt+MB8pF9PiaH7/Y+0f9zQCCJgAri6huu/6ooruK4/j/qUPFbRfDd3rRP0VXio73vOFEcz2/GHgQg0EoE8orfrcSKtkIAAo1PoIrid+NTpQUQgEBVCSB+V7VnyqlXzcXvcUfNlEbe3DKqGxC/yxmczZ6renYbSxP9N3joqu5T9vl7f3U3G1Y2+0gov33GR3zVmxtqpq0SN/7hRhQ/7E1PccTv8vuKEiAAgeoQQPyuTl9QEwhAoHwCiN/lM6YECECgOgQQv6vTF7WoCeJ3AZQRvwuA2CJZIHi3SEc3SDPN6nCzWjxplbg2SUXxowcNkp1ee8NfLW5E8QZpLtWEAAQg4EQA8dsJF8EQgECDE0D8bvAOpPoQgIATAcRvJ1wNH1xz8VttTz4w+T1y3pknNzw8bQCe33h+p/lsL1m2QP73d4/IL9pu9Vd6Bw/dqFL9uzcsfEk+esanpKOzM3Ze2GxYmFYXk7mLVyue39X1/Ha5iNqMH5OfiuFLPLsUY59i/tXzR91zjx+24Mgj+4pXUXyitzp8d2+TTX+1eIp9SrDeRftwuoxtF35l5WvqMOe678qHp82QEV0jXaplHbuxp0euv26WnHH256zTZA0sw3s5qS54fmftqXzpyp4TrrUrY9zlFb9rOe9ceWn8urVr5LZ5c2TG6Z/MkrymabL6eda0kqHC8PyuJ/3+ZRf9rFGFlpUxf6sofrs8v1ahX/LWAc9vPL/DYwjP7/RZlfUZAfE7nW0zRdRc/J43f5F8c9ZcWTjvyqbgiPiN+B0lOAdXeL/2wloZ433N8770MIL31LEnSlfnVqHL5sHOJgbxO/6ysnL5A7L+1bUycdIxzteePC9NSxbdJdsO75LxBx3iXK4mKEpgshk/SRVU65QXPA/xlcsWy/OeuN09+X194nhcurB9SpQonodtVLlF8QrnXVa+phzE70zTw0+E+J2dXZ6UZc8J17ohfrsSQ/x2J+aWAvHbjVeZ0UU/a5RZV9u8Eb9tSTVWHOI34nd4xCJ+p89hxO90RkSI1Fz8Vs/vpKN7weyG6hfEb8RvIziPfe9+kR7eB8lBcsSIybLnhP094fstwTs40G2ESZsYxO/4ywfi93/Jaaefk/jXBWkXX/X8XvXwEln/2iY5eMIRfnjYTzy44WZcfrqhpm6suZ/3Pe6yf5XR539Jxm3a7Nuq5D3KEuTKyte0F/E7e88jfmdnlydl2XPCtW6I367EEL/dibmlQPx241VmNOK3HV1WfttxKjMK8RvxG/HbfYYhfrsza8UUNRe/mxEynt/N2Kt2bUry8I5a4W2XK1EQqCYB1w0vw57i3d6Gm8953yqYxx1mtbj+u6vap6iNSkHCeDWpUisIQKCqBPLanlS1XdQLAhD4f+2dC5gU1Zn335kBZrgNd4MgMsHbABKJ8UK8BGIu4CWCZIXJeiNRA0k0+rkXs/H5knz51nya3bhxzQUT46JEBcwawJhAljUiqOAFGYhAghJARlnjZRguMjCX75yaqbanprvr1KmqnuqeX/XDQ0/3e97z1u+cqq7+19vvgUAmAkkUvxkpCEAAAnERoOxJXGST6RfxO4JxQfyOAGIBuUDwLqDBItRICQQVv7N1ni6K79GCuMooT68rnqmdzhYfoBLDXSF8nBLEK9P+jnRHcQYBCEBAEUD8ZhpAAALdiQDid3cabfYVAhBA/O5ec6BLxG9d9/u2O+7rQPr2b1wnM6adV5D0Eb8LctgCBd3QuE9W7FguS7Y9lHXRymwlTQJ1hDEEEkwgKvE72y7qjPB9KincFcK3qBrjOlu8QYnjWiDPtnmFcTLGEzyJCA0CBUQA8buABotQIQCB0AQQv0MjxAEEIFBABBC/C2iwIgg17+L3Pb94TOYvXC6LfvotmTB2jLMLm7fukJqvfFfmXXWp3HjtzAh2K38uqPldvDW/XcF75V9+I9U7TpAF6lGvHnpLL2myd8duefONPTL5UxdmnHgmdbhN6nmb2Jj0pYMMUqt1w/PPOPvl1njOdXQdaWyURx6cL9dcf5PxQRi0DqPtAj/U/I6n5rfxQGcxNB1/t7a4FsP3KZE8mzBetXOnTFm9WhZcc02qR7d0is4U1xnjA1QWeabFN3PtS5BjxoYJNb9tqLW1oea3PbswLeM+JoLGRs3voMSo+R2cWLAW1PwOxitOa9NrjThjiNq37fVwrjiSKH6bfP+Jmm1X+qPmNzW/vfOPBS/9j0hqfvszwqILFrw8f8aNMutzn+wkcmtRfMnjf5A1S+8pqHFB/C4+8fvJut+LFrx1prcWwPV2s3psGr5FPjf+8/LxkZ+QUZWjU/PUT3D2e187MrmwM7Ex6Uv3F0S0QPwWCfOlad3aJ6Vvv0qZMPEMq3NbkLHK1YHJ/PELMNOCl35t/N4Pw9b1nb7oZv2e3XLoubWy6YqrfEup6PbZssa1YK4X5dTvBz1m/PY50/uI3zbU2togftuzC9MyqnNTmBjS2yJ+BycZh3gWPAqzFrZfbM28x2OF+B0PVxuvUVxr2PQbZ5s4jl/E7zhHzMw34jfit3emIH77Hzu21whkfvuzLSaLvGd+j58yRzKVOHFLobzy1IKC4ov4XRzi93N1T0vt8mfl4T6PyGv7t6fmoBa6Z1VfIUfWN8j0mVdK/8oBneann+Ds9752aCJMmtiY9KX7CyJaIH4jfruTPqnid/pBmWluuzXFG1TlFJ0xrjPHTRbf1H61+K1F8PEqo/yENU9L+awrrDLH/T7YEL/9CGV/H/Hbnl2YlkE+R8L0Y9oW8duU1Ad2cYhnwaMwa2H7xdbMezxWiN/xcLXxivhtRg3x24xTnFaI34jf3vmF+O1/xNleIyB++7MtJou8i9+FlvmdqT65ngDpIj01vwvzkHjl7U1yX+2PnRreehFLdxs/9CMya+xVMvXDl3TI8C7MvSRqCERHIO6a39FFau6pQ9a4EsXr0hbg1PXH9fu5tvTMcV1WZVRzixyns8bVv+OUaK4X6XSzx82jwhICEEgCAWp+J2EUiAECEMgXgSSK3/nad/qBAAS6HwHE7+415nkXvwut5rcWv38wf3HOciyI34Vz0GiRe8WOx+UXm37cQfDWZUx0He9rP/I1BO/CGU4izTOBYhS//RCm1xrXz/e0i+M6m/x1vRinjziu/bvZ404pFfVPL8ip644jkPvR530IdC0BxO+u5U/vEIBAfgkgfueXN71BAAJdSwDxu2v557v3vIvfegczZVNnKoWSbxiZ+kP8TsIohItBC946u3vJtoec/91NC95uWRP9PxsEIJCbQHcUv/3mhBa/dYb4K6qcii6rsscRxUtFi+M6i3y3+t9kSxfI0zPInedKMK9sF85NfGEDAQhEQwDxOxqOeIEABAqDAOJ3YYwTUUIAAtEQQPyOhmOheOkS8btQ4Og4Mwn16SVPqPmd3JrfMqFc/uvN3zmZ3u52edksGXTMUPnspEsd4Tt9y1VTO1c9Xr86237v6xhM6nmb2Jj0pfsLUquVmt/U/HaPk0Kt+R3FZ06QY8bbnxbCG7Qo3v5Pi+K67ni6QH7z3XfLgmuukfqBA3OG6wrh49sX4xygy6tocVyJ5OObWpy22sa7HWlslEcenC/XXH9TFDhy+oij9nKuDqn5HfuQZuwgzDERR8RxzLuw4nc+jzsbptT8tqFm3oaa3+as4rak5rcZ4SSK3ybff8z2rjCsqPlNzW/vTKXmt/+xS81vf0ZYiCB+B5wFX7rlTnnn3QZZtuB2p6Wf+F1WVialpaXS3Nws5eXl0tLSIn369HFeO3z4sBw4cMDxU1FRIZWVlTJo0CDn/aamJtm+fbtUV1fLsGHD5IUXXnCeDxgwQNavXy81NTWyYMECuUaJJcuWLZPZs2fLAw88IDfddJMT07e//W3n78mTJzv91NbWpmz0a1VVVSm7+vr6VFtte7cSYW699VYnrnvvvVemT58uw4cPl40bN8quXbucv/W2ePFiOe2005y49Ob2p33rTcc1evRomThxovP3TrVg3OrVq52Y3W3lypXOPk2aNCn1mredfsPbt2ucHp9+7amdT8kDtQ/I4NrBcn/r/VKvHnqbUT1Dpp8yXQbtGtQhplSn6smdd97p8NNj4d00Ex33wAzCVLbYXB9+72u7XH27fkxsTPrKNhaddrr9BT1metPzxm/zzh8/e/2+O19NbLVN+nw1baPt1q1bJ/v27ZOpU6cGaebYBo0xvYNMczxIAJmOmyDtg8wfE79B5oOJvzBsM/mPipfXd1x+3X5+oM4xH1fnmLfUOUaftfQqBDv1fFf/Nrb/33Y2M9uqlJmW0VP/q3N7qepjlDq369fc13NL7WZ9ea28nwV2XsxbeT8HzFvaW+7du9f5jJs7d669kxAtvZ+/IVxZN437mAgaWL7nnUl8Np+JJn6jsrH9PI2q/yB+kjDng8SrbTNdzwb10ZX2STymbHlEfa1hG0eU7Qrp+A2z3ybff8L4T1rbrr6+SAKPYjr3RMFz27ZtKS0nCn/F6KMQrxGKcRySvk95E7/dWt/zrrpUbrx2Zgcuud5LGsDNW3dIzVe+m1rw0k/8Li39QPzu1auXtLS2SEVvJX6rrD+dEXTo0EFnF3spYbxfv0rpXzlAvd9bmpuaZfeu16RqzMkyaPAQ2bL5ZfX8JOmrbF7Z9JJ85qKZ8ptfPyyXXPYFWb3qt+rvy+SJpYuk5uq54mY3uFlQjaqf7dv+6NikZ0a5dumZP94spfSMOm9WsfcOmzfrypvxkilLbN3aJ519mjDxjNRQZ8qUyZbRrOM7ZdJH5b7XftJh4cqb5WbZNHyLfG78550Mb13iRG+5snDI/M58tJH5Tea3OzPI/H5WnXNrYvlYyvXrErdDt8SKW3fcrUHuZpHr17Mt0lmhxG+dXX5H+41N16e7YKdbVqW/Sho/Xi3aqf+3rUseRwZuLuhkfscyJX2dkvnti8i5zsvXLy78o+lsQea3DTXzNmR+m7OK25LMbzPCZH6bcYrTisxvMr+984vMb/8jjsxvf0ZY5DHze/qc22TI4Eq5/5Xo1LcAACAASURBVK62jGLv5s2oTurguGVQ0kufsOBl/kfLreN9X+2P5ZW3N6UCYOHK/I8FPXYfAtT8LpyxTi+1kl6LXD9338smlOfaS7ekynGq7Iout6IFcrf0im7nLuLpPi8cYkQKgc4EwpY9gSkEIACBQiKQRPG7kPgRKwQgUFgEqPldWOMVNtq8ZX6PnzJHci1qmUlUDrtzUbQ/f8aNsmbpPSlXmUR8xO8oSJv5WLJ1oaz8y2861PFm4UozdlhBICwBxO+wBJPXPj2bXC/WqTenNrlatNN9niuj3G+P3MxyLZZroVxnlA9U/+tMcy2e6w3B3I8i73cVAcTvriJPvxCAQFcQQPzuCur0CQEIdBUBxO+uIt81/SJ++3DXYverO+tSVmefPrZT9jrid7yT97m6p2XJtoc6lDXRPU4b8zmZ+uFLZNbYq+INAO8QgIBDAPGbieBmjbvZ5LrkipNN7hHLNSlta7Oll2LRC3lqcVzL5OnlWPTrWkzXorreBqj/dDs2CERJAPE7Spr4ggAEkk4A8TvpI0R8EIBAlAQQv6OkmXxfeRO/dQb1382bLTOmnZeRis78/sH8xR2yrJOPz3/BS2p+Hycnj53gDGWQmt/lg3rL7t6vy10vfE90iZOJ6lGlHtuH7pDrTvtaqo53tlqv2ernUvO77agKUquVmt/U/HbPxdT87tqa32E+E/NZezi95nd6Zrl+3rHsStvfWkDX2eV6sxHM56mFmZeqhZj3qoWZ08uyaH/pwrn+Oz3bXAvoOgPdtQvCt6trctrWNgyyj362QT5H/HxF8X4ctebDit/5PO5sGFLz24aaeRtqfpuzituSmt9mhJMofudak8lsrwrLqquvL5JAK47P8yTsl20M1Pz2J2d7XYz47c+2mCzyJn7/0/d+Jlv+vEuWLbg9Iz+/muBJhc6Cl6c6C3HqLYoFL3VZky3PbZAXDq2XjerhiBJqscoL+14sZ/Y9Wy6adnmHqYD43fHIyLYwqPf4CSJaIH4jfrvzB/Eb8dvkszjslxZXMG9QmeOuWK6l8Q9qlXcUzWf8/GfyaLv4bRJfLhtXPNeiuBbHtViu+9ZZ5vo1dyHQ5rf+R5pWPCEnXvnFLsk+t73ID8snvX2Qz5Eo+83mK+y8y+QX8TsfI2fWRxLmvFmkH1ghfgclFp894rcZW8RvM05xWiF+s+Cld34hfvsfcbbXCIjf/myLySJv4reGprO/9ZZeQ9t9/d36/ZK+iGShQEb8Di9+/7X5r/Jk05OpsiYzZIbsVA+dMT6r+gonyzubqIv43fFIQfzOfubYvPFFOXigQSadd0Hg00uYL03r1j4pfftVyoSJZwTuVzeISmCKInMG8Rvx22QSxyFC5uo3/XPAzRxvq1PeJpK7wrn2kV6eRb+nBXbn9YAlWobv3Sszli2T+XPndgrNLdui33BFdEc8b6/KMqq5xWnjCun6eUp0T8tGz1XKxfYi32T8TG2iOjeZ9udnF8e8Q/z2o56/95Mw54PuLeJ3UGLx2Ye5josvqnCe4/jlBuJ3uDGJojXiN+K3dx4hfvsfWbbXCIjf/myLySKv4rcGpzPAl//+2Q4MM9XRLiTI1PwOPlq6lImu5e2WNXE9jB/6kQ5lTYJ7pgUEIBAXAWp+x0UWv0kh4Irgbta5XgRUa9ZaSN/fLpbr53pzbeuU0N5mo8T09vei3h9XHNd+3Trnbla6fs0V1J3320u5OK+nPXfbeV+POtZi8hdW/C4mFuwLBCBQ/ASSKH4XP3X2EAIQ6CoCiN9dRb5r+s27+N01uxlvr4jf5nxX7HhcHt32S9H/u5sua6Kzu28585tOiRM2CEAgmQQQv5M5LkSVLAJu2RYdlSuip7+mBXX3Pa+Q7maja4v6GMX0dGLpArmbqa7fd7PV3WVE9YKj7pYusOvXsons3veSNVL+0SB++zPCAgIQKB4CiN/FM5bsCQQg4E8A8dufUTFZIH5HMJqI37kh6ixvneGtM731c3ebNuZzcnn1laL/Z4MABJJPAPE7+WNEhMVJwJuRrvfSzUp3n7t77pZ20X+n2qWVeEl/Pd+00kvC6L7TxXb9txbcdTkYLf5r0V3/PSAtez29VIwbuy4no+3S/3YXMnVfSxfng+wz4ncQWthCAAKFTgDxu9BHkPghAIEgBBC/g9AqfFvE75BjSM3vzDW/Gxr3ya9/s1A2HH5JfvXeYodylXpM7TFNqid/1Mn01lnemeohZ6qRSM1vEZOazdT8zn5AU/P7bvnC1fOkV3m59VmPmt/U/DaZPHHUXs7Vb7a1H0xitbXp6pqctrUNM+1ver1zN1Nd26XXTNd/p9tpgb3P7l1yzNqnZeffXtXhPV1vPX0LWk/ddkzmPPCAPDV5suysqjJykUkQTy8No50MUrsyRGXqNx5tccR4d8/Sy8y4nWUS5lsbD8uBn/9Uxn315k4xeftyDXLVejfasQBGcdQMDtB9INMo53ygjkMYU/M7BLyIm1Lz2wxoEsVvk+8/ZntXGFZdfX2RBEr5vo5Mwj7nioGa3/4jZHuNgPjtz7aYLBC/Q44m4ndH8btiTD954u3HVVmT5XJB4yedhSvfqXzPEbsvP/YL8u6f9soll9WkqCN+t6EwubAzsUH8zn5AI34jfoc53ce9uN+iB++Vi2fUSP/KAWHCzNr2SGOjPPLgfLnm+pti8Z/uNN9fWhC/Yx/SjB3YHBPp5V+003Sx3fm7fZFSV2h2BXg3AG3vlopxX3PF9TMfelBeO0+L36NTC5l6bfJNquLwYbn57rvljltvjaTrXBns2cR03bFuly7eu8977quXMQ8vlENf/lrW+DKJ+l5jb/Z9JmfaxpuRn8kum/hv+8U2EvCWThC/LcHF0Azx2wwq4rcZpzitEL9Z8NI7vxC//Y8422sExG9/tsVkgfgdcjQRv0+VsqG9nJIm21a/LCubVjiCt96u7zNXTqyqlisvmOv8nemLMuJ32wQ0EbZNbBC/sx/QiN+I32FO9zZCX5D+EL+D0Opoi/htzy5My7iPiaCxBbnp4hXh3b68Wevv9yiVw+U95MD7R1OlWLStW7c9PcZMwnyZEr9PnP8jWXXLP3TaHd2XW95Fv+k+j3PhVG8QA+vrRWfM//Cm+G+KBR1Pr33N4sWy8bTTZFt1tfOWt4SOn39viR0/+/QSPNo2082DTK8PVCV4XJG/4ne/keZRx8vRUz/i153zvsmNBhNHJjcjTPz85dGH5ZiPnyenHDvKxNzKJl+/dED8NhsexG8zTnFaIX4jfnvnF+K3/xGH+O3PCAt1rd2qNkCEI9Bda35rwXvJtodkydaFKYAsXhluLtEaAkkmQM3vJI8OsUEAAlETSFrN71wlZLzCfToL3S6T0K5t9Ou5/GYS9b2c9UKt3oz8TDbal9+WT/HfLxbeL04CtmsAxEUj6I2ZuOLQfvV1nvoBjjQ128kD7mLIuc43ruck2bhnJtObXPmyz1RiK87xxzcEuhuB8l5l0qJ+HXe06YNF3XMx+Nc+PbsboqLaX8TvCIazO4nfesFKLXrrBSxZvDKCyYMLCBQQAcTvAhosQoUABEITSJr4HXqHishBtuz9bLvoLbHjh0KL+fuVwhVUqKtvb+fnP9P7JjcaTPya3Iww8ePa5LqxEsRPJltudoQlSHsIQAACEMgXAbvbgvmKjn78CCB++xEyeL87iN8rdjwuj277parl/XiKiM7yvu60G2Tqhy9xFq9kgwAEipsA4ndxjy97BwEIdCSA+M2MgEDxEcjXIrym5ILemDH1a2NXobIg9bXewcNNNs1TJaGSlkHtF0/Qm1z5ss9UYstqYGgEAQhkJEDmd/eaGIjfIce7mGt+68zu3/5qkSwvWS4bD74sE9WjSj16je0vs6qvkAO178hJ1R0XvPzYWefIsSOPd6h6F/qh5veFWWebST1vExtqfmc/oKn5Tc3vMKf7uOsbU/PbfnSo+W3PLkzLuI+JoLEFqflt6jus+J3PhWZN9yndbn/DPnli6SKpubptbZYkb7b1PLtyn1jwsivpd+ybmt9mY0HNbzNOcVpR85ua3975Rc1v/yPO9hqBBS/92RaTBeJ3yNEsRvF74YIfybOjnneyvOepx1L16FlZLjccd7MMPjJYLpp2uUPNe5LxfvFE/G6bXCaCtImwbWJj0peOKYhoseH5Z5z9OP2sc32PFpsv+kG/kNh+WUf8Rvz2ncA5DIIcMzb9IH7bUGtrg/htzy5My7iPiaCxIX4HJSZi+3kavKfwLWy/2Ibv2d4D4rc9u6hbBr3WjLr/OPzFcfwifscxUsF8In4jfntnDOK3/zFke42A+O3PtpgsEL9DjmaxiN/LHvulvDWuXpZuXSKX7/+83KEeevtGxTfl1HM+Jp8cd2EnERfxu23y+AnOfu9rHybCtomNSV+6vyCiBeK3SJgvTevWPil9+1XKhIlnWJ1tgoxVrg5M5o9fgPqnsFtq18nB95uMbob4+dPvh2GbyX9UvLy+4/Lr9oP4bTJbMtsgftuzC9My7mMiaGyI30GJIX4HJxasBeJ3MF5xWkd9rRFnrKa+Eb9NSRWWHeI34rd3xiJ++x/DiN/+jLBQi7y3qg0Q4QgUcs1vvXjlfbU/7lTL+5YzvykfH/kJanmHmxq0hkBREaDmd1ENJzsDAQj4EAhb9gTAEIAABAqJQBIzvwuJH7FCAAKFRYDM78Iar7DRIn6HJajaF5r4rWt5a9H7rhe+J/q5u80ae5VTy1uL3mwQgAAEvAQQv5kTEIBAdyKA+N2dRpt9hQAEEL+ZAxCAQHcigPjdnUabzO9IRrtQxG8teC/Z9pAs2bowtd+jKkcLWd6RTAOcQKDoCSB+F/0Qs4MQgEAaAcRvpgMEINCdCCB+d6fRZl8hAAHE7+41B8j8DjneSa/5PWr8CfLHvRtl69Za+Y+j98sc9XhKPc4ae76M23qCXH/DP3ZY8Mi7YGF6LVVvPWlqfrdNHr86237vax8m9ZhNbEz60v0FqdVKze9wdamp+Z37JBt1Hc4gczvI6T8uv24M1PwOMhodban5bc8uTMu4j4mgsVHzOygxan4HJxasBTW/g/GK0zrqa404YzX1Tc1vU1KFZUfNb2p+e2csNb/9j2FqfvszwoLM79BzIKni9zk102TV8l/LkkOLpUI9JqrHM5XPOeL3xyddIKedfGZqobn0iyfE73nSq7y807zIJUz5Cc5+7yN+f9+5CWO62V7sb974ohw80CCTzrvAtKuUXZgvTYjfiN8mEw7x24RSZhvEb3t2YVoifvvT815T+bfIr4Xt52l+o2zrzfaLbVfE6vaJ+N2V9Dv2HeY6Ljl70TGSOI7fJGZ+myT/JHWMbOJC/Eb89s4bxG//I8n2GoHMb3+2xWRB5nfI0Uya+F16Zh/Z999vynfUw83yPm3wx+SssjNlzuyvS3pmlHshiPjdNglyXVwhfoucfta5vkeLzRf9oF9IbC/2Eb/vli9cnfnmju/AthvosidbatfJwfebjOaDid+g4+/nMy5BLi6/7v4gfvuNbPb3Eb/t2YVpGfcxETQ2Mr+DEiPzOzixYC0Qv4PxitM66muNOGM19W17PZzLP+K3Kf347BC/Eb8Rv4MfX4jfwZl1xxaI3yFH/b3/+56UHlMmB/+mp5Wn0n37pGRffYe2rQMGSsuAAcb+9KKVevFKXdPbXcBS1/LWC1fqet76ORsEIACBsASo+R2WIO0hAIFCIkDN70IaLWKFAATCEkii+B12n2gPAQhAIBsBMr+719xA/A453vX/Ui+th1vl8JXl0lpZ0sFb+TNPS69n1kjPP26Sst27pLRhn/N/V2xaTNeielRbS+UAJdCH99eq4nL8tLaqIjzt/CyfN486PpLdi8KP3ie9b2G2plHhb1o0Hx/eR5h9oG1xEUD8Lq7xZG8gAIHcBBC/mSEQgEB3IoD43Z1Gm32FAAQQv7vXHED8DjneBx89KEe2HZEjF/SQ5uoejrc+jyyU/v/yPSOhO5MorTPBdUY4GwS6mkAUN03C3iiJ4gZJ2Bsaeh/C3sxIyg0RPadsb4ogfnf1EUn/EIBAPgkgfueTNn1BAAJdTQDxu6tHgP4hAIF8EkD8ziftru8L8TvkGGSs+a196uxltZVJiZSUlUqz+rtXj57SomrmVvTuI6Uqy1nXRz506KBjpxdZ7NevUvorka2id29pbmqW3btek6oxJ8ugwUNkU+0LUtfrDXn+3edkkno8oh7Xllwrg88cIaWvNslFl8yWJ5Yukpqr56YWsnTrXzaqfrZvflmmffRsWf7sH+SMk8fLiKHHyPzli2XepbNlv4pBv37Fpy+RxqNH5eFVj8sXL5zpxPWr1StlysSzZajKZP7T7r/IG+/+VT458Swni33FxueletBQGTNwsGP76+1b5Kxjj5ORaj/09t+7X5MRfStl7JBhzt91arHB59/cI5edNC5Ffe2OP0vl0Sb5aJ9+KWb/dXCfjFSsxpX3acsGV+y2NB6Suqaj8pm+7dnU7a8/vO9t+Uy/gTKsrIeUvb475fe+3j1k1uFmqWwfB/eNlb3K5LiWVhnf1NJp5H/cu6dcd/io9Nn9gR/X6GdjRsvs1+tkgIrVu/2xsr+83re3XPjmW6m3StUNjJL2GxibRxwruwcNlItf2Zp1tv3wk5+QeWuelYqmD/z3eL3jrwT+9cor5IYlj0rFkSNZ/dSedKLsHn6sfG7Nmrb5l+WXBjurqmT1lClyzYIFWX25b2g7vU1+6ilf28MVFXL3zTfLrXfc4WvrGvyf73xHvq3+mW71AwfKA3PmyE0//KFpE8du3aRJsk+1nbpiRaB22jhojOkdrJw2TQbU18ukdesC96sbBBmrXB3c+Y1vOMwqDh+2isM7H85/+eVIfk3yz1/6onzzV49F8ksSHeOu446TtaNHSc3uutC/JnH2WZ1DWtW82aX+rVPnj8sPdz4H2AJNv6nyH++9JZ8fMEQqS8ts3WVs597oaGxukgdf2SjXf+SMSP27zvTNHb0/ekv/nImlM4/TR9Xn1+RPXyRD1OdavraurslpW9swSj7U/PanabMOhr/X6CziqBkcXXQdPSVhzgfdN2p+ByUWnz01v83YJlH8ZsFLs7ErJqs41vAoZD4seOk/erbXCIjf/myLyQLxO+RoZhW/tV8l0JYqIaO0VInfzc3Sq1cvaWltCSR+y+Ay2Xxok3xo31DZph716jG5bIpUnTNO3nu+Ti657AuyetVv5TMXXZZb/N72R8eGBS9/J8eOOE5OHjuh08iz4GXng0H/AuGl559x3jjjlPG+R4v35oluoG+U6JsB2bYfvbxObvjopKzv65sITvv2Gx4NLc3ynw3vyBcHtgtd7a87DrI81zdGNvQolQZ182nKkWbf/fAa3NWnp/zDn14L3E43+MMxQ6W/uql01s5dqRsiQRzpGydrTxgjf/viBvHeEAniJ/3mSZjyS0FuhpjEF+bGQib/Ud0s8PqOy6/bj75ppG9GDVQ3SuLYbG5M2cahb07pm2VVO3faugjU7t5582T60qUyfO/eQO3CGO8dPlyWzZghc+fP7+Amil/LmMT16Kc+JR95dbucsqvzzVqT9l4bmzJb6ecmmz6jbvPwGafLea/tkOPf8z+GnF8U6Zs1PuXWykpapUePMpUYoG6YW5Rkaywrk3tPGC1f//MO375s/PvF7+dzX88esnjUSPnyDnWz3U0WMPhMzfZZG+Xr3l9sLS/vIeNUYsiJzW3JJYWw5Uq4KIT4H63oIZPUNdMolTRS6Ju+jrvl0NFC340O8TeoY3VJRZlcpxYhj2rrqa6VS9W1cqPFtXJUMXj9uMlJ5YU/DY0QvaX4/14lW1wZYbKFUccJMiqmc08UWF8tK5Et6lrk0sbojvUo4kqSD9trhHJ1rLWoz7ijGRIjM+1f/zv/OUm7TSwBCSB+BwTmNc8qfrd/obIRv5vLmuUv9a9J6ztNsqV1i7ylHueUniNHBjbLOWOmSJ36EvWZi2YqIfthxO9FCzJm/C168F65eEaNk0mfvuXKwkH8znwwbGgXv08/61zfo8Umyy1oNo5tptrmjS/KQfXrg0nnXeC7H16DoDGmt1+39knpq34NMWGiXcZtVNmVUWTO6LInW2rXyUH1ReuMU07ttFhvYLCqgf4FylenTMt5gySI3zf2vinPv/2myqIeGpmYU6IEaf3Llagzv/WNIfcXIrl+XRJk/7227o2Owz16yPzzz5Gb//B0GHdZ2+obVHp/9LbwogvlExteltF5EqPvU/0lRfyOBW4Gp4trauS0jRuletu2fHXZqZ+4bwgF3bF833QxiS+fN51M4vHa2P6SyqavsG2SMOeD7oO+QTZa3QScqI7VQtySeEzZcoz6RrttHFG2K6TjN8x+R/XLxTAx5LNttpvr+Yyhq/sqpnNPFCy3VVdL7cSJMnvRoijcFaWPvF0jeKoKFCXMIt4pxO8IBrfh6Tel/9SxUnJ4n+z75+/LwXk3WHl9ru5pWbLtIVmydWGq/ajK0XLLmd+UWWOvsvJJIwhAAAJREaDmd1Qk8VOsBPSvZfS6HYW2hflVSaHtq47X+UWRvlnjk+2ss74repbKgfdVxmhCMqL9YraOM+Si4848sMiOz5a9nl7KrhDnGDFDoBAJJDHzuxA5EjMEIFAYBMj8LoxxiipKxO8ISDZ+/wdSfuvfS1PVufLeT38nR89sW/jSdNNi9321P5ZX3t6UaqLF7lnVV8jHR37C1A12EIAABGIlgPgdK95u5bykoe33y6qiul4ZI/Bz3U5vuq3N89KjqmVjQn9D3ah2rLHzuhSFNkFK9xdaxJ3jLVM/Ne6lBPD34/qpsT4O2qa/Phi69rl7OOh4iuF5Urh24dgWwzFY+GeRwtoDfZ2n74M1FVB5ocIiTLQQgECSCPRQ13n6vn2zYXmvIV9qW9uOrTAJIH5HMG7Nn5giZWtWy4EvLJSjYy+WIxf0kObq3AL46w275Bebfiwrdjwu+rnedJa3Frt1prd+zgYBCEDAlECJEsxalWBmIyS2fTdvFT9BUC/UO6BfT3lvf/ZFV1PxRijgRf4Ffn+7shOh2FR6wHSkgts5Iu2ReIVaV4wOHh0tIAABCEAAAhCAAAQgAAEIFDeBQf97UHHvYJHvHeJ3yAHOXPO7Pd1E/eet+X20+ai8X/K+NBzZJxXq0U899FaiFhgZNGCIU6O6ondvaVaL+uze9ZpUjTlZBg0eIls2v6yen+TUDn5l00vU/G4ft8e6a83vhswi559e3Sx739ojk8+5MGdG5d66PfLSpmfk0vNn+x4BL2591rE5Y+w5HW0ziJuNTY3y8Nr75ItTvubrV1T7UqWh/mT9XfLVs2/xt2+32N/YIEu3LpGrJl4nokVMQwGz9t0NcqBpv5x7zORUdp3uX8fht/3o9X+TG0b9r4xmfsLkmveflv6l/WVi+UezdpNLeNzTukeeV4+ZJTP9wsz5/r0t98qc0jlSrh5htvWt653mZ5ecHcZNqu2/t/y7fL3065H40k6i4uUNKC6/bj8LWhbIzNKZUqkecWyNaqLrPuaWzo3DfQefj7U+Jmepx3Elx2Xtq7XSTcsMH86i/Q/Lp/p8RoaVDfN1lsoU76UyPcrtY3j7yF9l1XsrpeZDV/r2GdhAHaItvXK3+t3rj0v1wLHy4f4nBnYfVYO6g3vkxbefk+mjL8/ssr89X5sYl219VM4YOUlGVo6yaZ6xTdjM78bmRvnly/fJtWdk/kxsVYxsfrmgg836qwd1k7K1vZxLic/z/e83yPINS+SKc69T2Z7tv8BQbZP4fEXtMjn52HEy5piTnLHS+5grTlMGDstsnCx/WeKOz5NbVsiIgcdJ9YhTox9ng9iksjTUsbB8zWI5o/ocGTEsumMqVEAhGs9/7F9l3sy/D+EheU33H9ony59Wx++06yMLrkIt/qazvw8maLHF/3j8HvnbaV+W8p7hrl8jgxSzo7fr35KnNqyQv7ng6ph7Sq77Yjr3REH5L29slz/v3iJTJ02Pwl1R+li5Tl0jHD9OPjyi7RrBdOurFnbWWd+HDRf5/dCEvqausUsgAcRvg0GZPuc2eXVnnWN5YtVIWbbg9lSrnOK3siotUatml5RJU2uTtJS0SFPLUTmiHk3q0besn/RoLnN89epVLv36Vkr/fkr8Lu+tVp1tkl17dkjV8ScpUXyobPmTEr+PP1H69amUP27bIFPPv0weX/WIfE6Jl/oDUp8M3Qsg9wLP/eBoPHo4dcJM/zBx7VIXT+dcK17x8lfrfylTxn1WhvY/Rv70xivyRv0e+eS4qU7MK2uXy8kj1ElmWNuX7+UvqS+eYybJiD6jHFHzyR0rZUR/ddE/bLzzfl3D6/Ji3TqZPvaDL8rP7HpK+pVXymnDT08x7dDOyXgU2Vav+j5UJxeM+GybXbvguWTHL+WCY6fK0N7tokf76wu3/0JmqC/k/Xu1CUlu5uh/v/t7GVE+Usb2bYspfft53U/k6mOvlfLSzhdXD76p/A27XAa833azIn3bemSL1DXVyaeV+JJp876fSeg0ESZNbPQCqW+ox6dLPp0xFvfFIEJeELHTRmALKn42SIM81vKYI+QG2V5ufVkOqMf5JecHaebYBo0xvYM1rWucm1wfLckufucKyHSsWvW0zSHm/WzffLmm8ovKJMeXBx9BUGsjL+5f71wknFU5KTdHAwFPO/jJln+Tr47LfGMh1UEAES3TecYbaEv/tleClMx44z11/tqxTi79WNv5q1PbkGLuQyt+Lpd+Ypb079NxkV7dlxZpW3qGy/w+cqRRHnnsZ3JNzY2Zxy2kSJLu9De/XiQfO+scOXbk8YGPNZsG2W6C2vgybfPO22/J6lW/lZk1wc5Dpv797P7rt7+Wk6pPdW6Kd9UW1WK8UcUfx7wrV/W++/XuKe80GNwlzbAjNotAR8XDxI/tAtImvqO2ScKcD7pPuRZZD+qrK+zjfa7mkwAAGddJREFUOKa6Yj90n2EWLu+qmP36jeP41UKQLgOw76Ba5yAhWxQLtidkV4zC6OrrC6MgYzYqpnNPFKh27tgu27f9USU/XhaFu6L0YXuNMKBvT6fMk+kNvxFDehclv+6yU4jfPiP9pVvulHfebUgJ3loIHzK4Uu6/61anpa/4LUr8Vo9m9eilHjrDp3dJbylpLVF5eI1ySD30prMxtUA2oESJ360V0lzSLDtbd8oJJSfIIPXY3LrZea5taltr5ZLSS+Q/W/7TyRRc1bJKLi69OCUIukKdm32n+9mmHheXKJu0jDzXLl1M9IqXj7Q8Ip8u/bQMUw+vsPpE6xNSrR46Lr15s/1Wta6SEeoxrmSc834mES+TMOhtp9tmE3XT40sfymxZlJl8u+1yicu5sjL9BGe/93X/JsJ2uk22rEk/Id7d1zqpk/Xvr5PLjsmSsZcG8/mGdc5fncTODOKmk+X26i/k2lO+6nsOLVGCXqvKbgyT+a1FTFMBs3b3S3LgcIOce/InP8jAqihTMfiLirkyhvyEyXUv/kH6qptWE8Z9LDuTHMJjVAJTFF8edDbQltp1cvD9Jjn9rHN9x9jEIOovpFHx8sYel1+3n0UP3isXz6hxfv0Tx5ZPES7fX1oQv+OYMf4+4z4m/CPoaBHHvEP8DjoK8dnbfrGNLyJ/z4jf/ozyZRH1tUa+4s7VD+J3EkYh+hgQv0Xi+DyPfqTy5xHx25+17TUC4rc/22KyQPz2Gc3zZ9wofzdvtsyYdp5juXTFWvnB/MWyZuk9bS0Hqbo/9fWy97U3pWVAm2ihF7Bcsu0h2VJXK+eqx4SSCXLh0Evk1AEfcUos+JVJMJpgIX+ynakPNxvSqP8cRq6oGdaPbq+FRVecNBU5M/2EOOxPP919ae6c+B18NyPMsAzeOS0gYE+ABS/t2dESAhAoPAJhxe/C22MihgAEujOBJGZ+d+fxYN8hAIF4CSB+x8s3ad4Rv3OMyOatO6TmK9+VRT/9lkwYO8ax7PSaqgPw7imjZenC78vKv/xGnqt7OrWApbafNfYqmVV9hbOQJRsEIACBQiaA+F3Io0fsEIBAUAKI30GJYQ8BCBQyAcTvQh49YocABIISQPwOSqyw7RG/IxC/F0wU+eKMDxxNHD5Rbjr7JplSNUWqBlYV9gwheghAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACBUgA8Tuk+J2x5rdeFa59Kysrk9JSVfO7uVnKy8vVQpYt0qdPH+e1w4cPy4EDBxzLiooKqaysVFVUBjnvNzU1yfbt26W6ulqGDRsmL7zwgvN8gCqtsn79eqmpqZEFCxbINddcI8uWLZPZs2fLAw88IDfddJNTh/zb3/628/fkyZOdfmpra1M2+rWqqqqUXb0q2+K21bZ333233HprW03ze++9V6ZPny7Dhw+XjRs3yq5du5y/9bZ48WI57bTTnLj05vanfetNxzV69GiZOFHdHVDbzp07ZfXq1U7M7rZy5UpnnyZN+mDxPG87bevt222fHl/6UOp90P0MHDiwwwhn8u0a3HnnnQ4/PRbeLZu/XLG5PrLFnt5Hrr5N4gvSV7ax6LTT7S/oMdObnjd+m3f++Nnr9935amKrbdLnq2kbbbdu3TrZt2+fTJ3atmBrkC1ojOm+M83xIH1nOm6CtA8yf0z8BpkPJv7CsM3kPypeXt9x+XX7yXWOMeHoZ2NzbPr5zPa+97PA1o9pu2yfA6btbez27t3rfMbNnTvXpnnoNt7P39AOLRzEfUwEDSnf884kvnwedybxeG1sP09t+grbJglzPug+5LrmDOqrK+yTeEzZcoj6WsM2jijbFdLxG2a/Tb4jhfGftLZdfX2RBB7FdO6Jgue2bdtSWk4U/orRRyFeIxTjOCR9nxC/fUYoU83v2+64T155aoHT0k/8Li39QPzu1auXtLS2SEVvJX4rgVwvQHbo0EHHTy8ljPfrV+ksdlbRu7c0NzXL7l2vSdWYk2XQ4CGyZfPL6vlJ0lfZvLLpJbXa70y1GMTDcsllX5DVq37rrP77xNJFUnP13NSK5u5iEY2qH3eF4PQFJNzFX9IXTPEuipa+kNift26WN9/YI5M/daETs3dhAe/iFN6FfjItjrVu7ZPOPk2YeEZqJDItEOTt2zXOttBZtsXjci0+lGtBwFyL0WWLzY3R731tZ7IYoYmNSV+6vyALlW14/hlnV0wWOLRZVC/oIkS2C/xs3viiHDzQIJPOuyDweTlojOkdZJrjQQIIMla5/JrMH7+4WPDyWXXOrfHDZPU+C15aYXMaseClPbswLaM6N4WJIb1tHAtkhS17YvOZGBUPEz+2n6cmvqO2sV3MKuo4gvhjwcsgtOK1DXMdF29k9t7jOH6TWPYkiutXe8r5b8mClyx46Z11LHjpfxzaXiNQ9sSfbTFZIH77jOaXbrlT3nm3QZYtuN2xnD7nNhkyuFLuv6stMxrx+1RHlNcb4nfbTQHvZiJIm1zYmdiY9KXjCyJaIH5L6oaSzckf8Ts3tai/kAaZ20HGMy6/bgyI30FGo6Mt4rc9uzAt4z4mgsaG+B2UmEgc4lnwKMxa2H6xNfMejxXidzxcbbxGfa1hE0PUbeI4fhG/ox6l4P4QvxG/vbMG8dv/OLK9RkD89mdbTBaI3wajqQXvV3fWOZYnVo1MCeFu0/2Hjsr+95sMPGECAQhAoHAJsOBl4Y4dkUMAAsEJhM38Dt4jLSAAAQh0HYEkit9dR4OeIQCBYieA+F3sI9xx/xC/IxhvxO8IIOICAhBIPAHE78QPEQFCAAIREkD8jhAmriAAgcQTQPxO/BARIAQgECEBxO8IYRaAK8TvCAYJ8TsCiLiAAAQSTwDxO/FDRIAQgECEBBC/I4SJKwhAIPEEEL8TP0QECAEIREgA8TtCmAXgCvE75CBR85ua3351tv3e11PQpJ63iY1JX7q/ILVaqflNzW/3NMmClyx4afKRGUft5Vz9UvPbZFSitwnyORJ97509xjHvworfLHgZ3cjb1vOMLoLgnqj5HZxZXC2o+W1GNonit8n3H7O9Kwwran5T89s7U6n57X/s2l4jIH77sy0mC8TvkKOJ+I347Sc4+72P+P19uf6GfzQ+Em0X+Nm88UU5eKBBJp13gXFfrmGYL00seJkbdxi2mTzHJcjF5dfdBxa8DHxYphogftuzC9My7mMiaGyI30GJseBlcGLBWiB+B+MVp3XU1xpxxmrq2/Z6OJd/xG9T+vHZIX4jfiN+Bz++EL+DM+uOLRC/Q4464jfit5+47fc+4jfid67TUFQCUxSZM2R+k/lt8pEZhwiZq1/Eb5NRid4mqnNTVJHFMe/I/I5qdML7sf1iG75new+I3/bsom6J+G1GFPHbjFOcVojfiN+I38GPMNtrBDK/g7Mu5BaI34U8esQOAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACGQkgfjMxIAABCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAoOgIIH4X3ZCyQxCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIID4zRyAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIACBoiOA+B1iSKfPuU1e3VnneDixaqQsW3B7CG80hQAEIJB/AkHPY7nsl65YK7fdcV+nnXjlqQX53zF6hAAEIGBAIOg5ULvcvHWH1Hzlu7Lop9+SCWPHGPSCCQQgAIGuIRDlOY7rvK4ZQ3qFAATsCQQ5B37pljtl/YatHTrje6w9+6S1RPy2HBF9YLzzbkNK8NYH1ZDBlXL/XbdaeqQZBCAAgfwSCHoe87PXX4p+MH+xrFl6T353hN4gAAEIWBDwO6dlcnn+jBvl3fr9zluI3xbQaQIBCOSNQNTnOK7z8jZ0dAQBCERAIOg5UF/jpX+P/afv/UzWPr+Z77YRjEUSXCB+W46CPjD+bt5smTHtPMcDFwOWIGkGAQh0GYGg5zE/e86DXTaUdAwBCFgQ8DunZXNJ5rcFbJpAAAJ5JxD1OY7rvLwPIR1CAAIhCNieA90uud4LAT+BTRG/LQYl00HAgWEBkiYQgECXEQh6HjOxz/RzWH4q1mVDTMcQgEAOAibnNMRvphAEIFCoBOI4x3GdV6izgbgh0P0IhDkHurTu+cVjsuTxP5D5XSTTB/HbYiCjOJAsuqUJBCAAgcgIBD2PBbXXgXp/ahZZ8DiCAAQgEJKAzTnN7ZKEh5DwaQ4BCMROIB/nOK7zYh9GOoAABCwJhDkH6i7d9rd/47pUtQfLUGiWEAKI3xYDEfZAsuiSJhCAAAQiJRD0PBbUPv2igezvSIcOZxCAQAQEbM5piN8RgMcFBCCQFwL5OMe5fXCdl5chpRMIQCAAgSjOgfOuulRuvHZmgF4xTTIBxG/L0clUP+i2O+4TPvwtgdIMAhDIO4Gg57Gg9u7PYzkv5n1o6RACEDAgEPSchvhtABUTCEAgMQTiPsdxnZeYoSYQCEAgAwGbc6B7XmNR8+KbUojflmMadOVYy25oBgEIQCA2An7nselzbnP6Xrbgdud/P3vvCtm6/ZDBlXL/XbfGtg84hgAEIGBLwO+c5j0HIn7bkqYdBCDQFQSiPsdxndcVo0ifEICALYGg50AW9bUlXRjtEL9DjJP+UvTqzjrHw4lVI1MCUQiXNIUABCCQVwK5zmOZhB8/e/ecqHfi7NPHInzndTTpDAIQCErA75ym/bk3APVzLf68W78/1c3ggf1ZCCkodOwhAIG8EYjyHJfui+u8vA0hHUEAAiEImJ4D3TIpmbqi7neIAUhQU8TvBA0GoUAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEA0BBC/o+GIFwhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEEgQAcTvBA0GoUAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEA0BBC/o+GIFwhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEEgQAcTvBA0GoUAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEA0BBC/o+GIFwhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEEgQAcTvBA0GoUAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEA0BBC/o+GIFwhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEEgQAcTvBA0GoUAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEA0BBC/o+GIFwhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEEgQAcTvBA0GoUAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEA0BBC/o+GIFwhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEEgQAcTvBA0GoUAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEA0BBC/o+GIFwhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEEgQAcTvBA0GoUAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEA0BBC/o+GIFwhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEEgQAcTvBA0GoUAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEA0BBC/o+GIFwhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACEEgQAcTvBA0GoUAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgEA0BBC/o+GIFwhAAAIQgAAEIACBAATu+cVjMn/h8k4t5l11qdx47Uw5f8aNzntrlt7TyUa/N3hgpSxbcLvznp+v8VPm5Ixs8MD+Tj9fuuVOWb9ha0bb279xncyYdp5Mn3ObvLqzTty/XeOlK9bKbXfcJydWjUzF5XVkEsd5Z02Q5b9/NtX00s+eI//vm18O1K/JfgQYKkwhAAEIQAACEIAABCBQsAQQvwt26AgcAhCAAAQgAAEIFCYBV5xd9NNvyYSxY1I7oUXsVWteSonHWiw++/Sxcv9dt6Zs/ul7P5O1z29OieKmvrwitVe81u9rX++825BVvNY2rvjtjct9PZf4nT5arlieKY5M7wXp12Q/CnPmEDUEIAABCEAAAhCAAASCEUD8DsYLawhAAAIQgAAEIACBkAS0qO1mNOdy5RWBN2/dITVf+W6HrGtTX1GK30MGVzoZ4q5478alBXE/8dwkjmzit2m/iN8hJyjNIQABCEAAAhCAAASKhgDid9EMJTsCAQhAAAIQgAAECoOALlty0pjjOmR0Z4tcC7nbd+xxMr119rMWgNMzwYP40n3kyrg2EY11DONOHi3/8/Z78qGhg5ySJDobXW/6tTjFb9N+TfajMGYKUUIAAhCAAAQgAAEIQCAcAcTvcPxoDQEIQAACEIAABCAQkIArQLvN3Jrb2dyk18p+5akFHcyC+vITv01qfmsR+uzTxzk1vnU8Oj6dBf5vP380dvHbpF9qfgeckJhDAAIQgAAEIAABCBQtAcTvoh1adgwCEIAABCAAAQgkn4BbMsSNNFM5FFewdhfDzLZXQXyFqfmtxW93EUodi5uNHiTj2qbmt2m/QeJI/gwhQghAAAIQgAAEIAABCNgTQPy2Z0dLCEAAAhCAAAQgAIEICejyIct//6yTTZ2+Zar17ddtNl9+md9+ZUvcsida/NYLdM5fuDxVgzyI6BxG/PbrN0gcfhx5HwIQgAAEIAABCEAAAoVMAPG7kEeP2CEAAQhAAAIQgECBEdBC9sO/XuVkTns3V9R1F5J0388mftv4ilL81vHpmuO6HrnegojOYcRvv36DxFFg04dwIQABCEAAAhCAAAQgEIgA4ncgXBhDAAIQgAAEIAABCIQhkF6aJD3D23397NPHdloIM5f4XfOV7zrhmPqKWvxOZxFEdA4rfufqN0gcYcaSthCAAAQgAAEIQAACEEg6AcTvpI8Q8UEAAhCAAAQgAIEiJJC+iKW7e9lqevuVPQniy0/8Nl3wMlPmehDROVscbrkWl4lbAz293Ip3Onj7ZcHLIjxg2CUIQAACEIAABCAAASsCiN9W2GgEAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACSSaA+J3k0SE2CEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQsCKA+G2FjUYQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCCQZAKI30keHWKDAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABKwKI31bYaAQBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAJJJoD4neTRITYIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCwIoD4bYWNRhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIJBkAojfSR4dYoMABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAErAojfVthoBAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAkkmgPid5NEhNghAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACELAigPhthY1GEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgkGQCiN9JHh1igwAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAASsCiN9W2GgEAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACSSaA+J3k0SE2CEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQsCKA+G2FjUYQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCCQZAKI30keHWKDAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABKwKI31bYaAQBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAJJJoD4neTRITYIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCwIoD4bYWNRhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIJBkAojfSR4dYoMABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAErAojfVthoBAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAkkmgPid5NEhNghAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACELAigPhthY1GEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgkGQCiN9JHh1igwAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAASsCiN9W2GgEAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACSSaA+J3k0SE2CEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQsCKA+G2FjUYQgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABCCQZAKI30keHWKDAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABKwKI31bYaAQBCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAJJJoD4neTRITYIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAhCwIoD4bYWNRhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEIJBkAojfSR4dYoMABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAAErAojfVthoBAEIQAACEIAABCAAAQhAAAIQgAAEIAABCEAAAkkmgPid5NEhNghAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACELAigPhthY1GEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgkGQCiN9JHh1igwAEIAABCEAAAhCAAAQgAAEIQAACEIAABCAAASsCiN9W2GgEAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQAACSSaA+J3k0SE2CEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAAIQsCLw/wEqL1jdvU1nHQAAAABJRU5ErkJggg==",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['cyan', 'green', 'violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"[E] init = {E_init}\")"
]
},
{
"cell_type": "code",
"execution_count": 58,
"id": "c5bb9972-79ba-43db-a0de-66d9495bcef4",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.033892638379102225, 9.277504597225233)"
]
},
"execution_count": 58,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.4)"
]
},
{
"cell_type": "markdown",
"id": "ddf4a727-1fdc-4b61-953a-d582cda053ce",
"metadata": {},
"source": [
"The timescale of [S] and [P] continues to become faster with a higher initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 59,
"id": "cab73b69-81c6-48cf-be12-73ddd0e9a4d2",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
"x": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#The very early part of the reaction\n",
"dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"Detail when [E] init = {E_init}\", xrange=[0, 0.002])"
]
},
{
"cell_type": "code",
"execution_count": 60,
"id": "1614dba7-9e08-4e15-859c-474ef8e219f6",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_curves() WARNING: Excessive number of vertical lines (819) - only showing 1 every 6 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
"x": [
0,
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5.25e-05,
5.3750000000000005e-05,
5.437500000000001e-05,
5.500000000000001e-05,
5.562500000000001e-05,
5.625000000000001e-05,
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The full reaction of E and ES*\n",
"dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"E and ES when [E] init = {E_init}\")"
]
},
{
"cell_type": "code",
"execution_count": 61,
"id": "03807baf-28a8-45ad-a31a-53003a13d02e",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" E | \n",
" ES* | \n",
" P | \n",
"
\n",
" \n",
" \n",
" \n",
" | 818 | \n",
" 0.201753 | \n",
" 0.832849 | \n",
" 1.167151 | \n",
" 15.691155 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME E ES* P\n",
"818 0.201753 0.832849 1.167151 15.691155"
]
},
"execution_count": 61,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.get_history(columns=['SYSTEM TIME', 'E', 'ES*', 'P'], tail=1) # Last point in the simulation"
]
},
{
"cell_type": "code",
"execution_count": 62,
"id": "5d28e797-ebb8-480a-bdcf-13880757b32b",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"15.69115548729148"
]
},
"execution_count": 62,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_equil = dynamics.get_chem_conc(\"P\")\n",
"P_equil"
]
},
{
"cell_type": "markdown",
"id": "797a8ab4-d051-4e92-bf1b-e1e148de6ca4",
"metadata": {},
"source": [
"#### P_equil continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 63,
"id": "94b8d506-9225-4c18-b618-2b87e9d48a3a",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"10.983808841104036"
]
},
"execution_count": 63,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_70_threshold = P_equil * 0.70\n",
"P_70_threshold"
]
},
{
"cell_type": "code",
"execution_count": 64,
"id": "968136e5-5497-4e3b-8a2b-25b02d7e9ad7",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.04311547431679562"
]
},
"execution_count": 64,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.reach_threshold(chem=\"P\", threshold=P_70_threshold)"
]
},
{
"cell_type": "markdown",
"id": "78dd47e8-668a-44f2-a770-f7cff871915b",
"metadata": {},
"source": [
"#### The time at which we reach the 70% threshold of the equilibrium value of P continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "3af50933-541a-4e48-b6de-69fdbf82a5cf",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "ba756ea7-7e7b-4a9b-a847-c9b12975b667",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "1a2e3c92-4ce0-4d3b-bb89-113fe3eabbc1",
"metadata": {
"tags": []
},
"source": [
"# 6. Keep increasing the initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 65,
"id": "30fb7ef6-0dcd-4063-bf6b-5e69e6a9a81e",
"metadata": {},
"outputs": [],
"source": [
"E_init = 10.0 # 1/2 of the initial [S]"
]
},
{
"cell_type": "code",
"execution_count": 66,
"id": "4353621a-ac88-4cd3-a3b2-fec1bbf592f4",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"4 species:\n",
" Species 0 (S). Conc: 20.0\n",
" Species 1 (P). Conc: 0.0\n",
" Species 2 (E). Conc: 10.0\n",
" Species 3 (ES*). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'S', 'E', 'ES*', 'P'}\n"
]
}
],
"source": [
"dynamics = UniformCompartment(chem_data=chem_data, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n",
"\n",
"dynamics.set_conc(conc={\"S\": 20., \"E\": E_init}, snapshot=True) \n",
"dynamics.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 67,
"id": "6e3b51d3-31c8-4d55-90b6-c54275ebf914",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"836 total step(s) taken\n",
"Number of step re-do's because of negative concentrations: 0\n",
"Number of step re-do's because of elective soft aborts: 2\n",
"Norm usage: {'norm_A': 834, 'norm_B': 838, 'norm_C': 834, 'norm_D': 834}\n"
]
}
],
"source": [
"# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n",
"dynamics.single_compartment_react(duration=0.05,\n",
" initial_step=0.00005, variable_steps=True, explain_variable_steps=False)"
]
},
{
"cell_type": "code",
"execution_count": 68,
"id": "a8169cc9-fa96-4388-bdbd-3672c6e9fa59",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 68,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Verify that the reactions have reached equilibrium\n",
"dynamics.is_in_equilibrium(verbose=False)"
]
},
{
"cell_type": "code",
"execution_count": 69,
"id": "a4246902-f175-42db-9658-8eb630bb03c2",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_curves() WARNING: Excessive number of vertical lines (837) - only showing 1 every 6 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=S
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "S",
"line": {
"color": "cyan",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "S",
"showlegend": true,
"type": "scattergl",
"x": [
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['cyan', 'green', 'violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"[E] init = {E_init}\")"
]
},
{
"cell_type": "code",
"execution_count": 70,
"id": "cea4cabc-470c-4830-ab70-f05d4176b189",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.005877353573479905, 6.680399989705835)"
]
},
"execution_count": 70,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.05)"
]
},
{
"cell_type": "markdown",
"id": "7e911332-dbd3-4f05-bda5-1d902d515156",
"metadata": {},
"source": [
"#### The timescale of [S] and [P] continues to become faster with a higher initial [E] -- **AND THEY'RE NOW APPROACHING THE TIMESCALES OF E AND ES**"
]
},
{
"cell_type": "code",
"execution_count": 71,
"id": "11c4c99b-cc15-488e-ba6a-f8aacd80ed67",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
"x": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#The very early part of the reaction\n",
"dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"Detail when [E] init = {E_init}\", xrange=[0, 0.002])"
]
},
{
"cell_type": "code",
"execution_count": 72,
"id": "9ceee775-6449-419f-bb39-b42f5fbd5803",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_curves() WARNING: Excessive number of vertical lines (837) - only showing 1 every 6 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
"x": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The full reaction of E and ES*\n",
"dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"E and ES when [E] init = {E_init}\")"
]
},
{
"cell_type": "markdown",
"id": "1f97da50-3764-4be6-bdef-ae5eef24a37d",
"metadata": {},
"source": [
"#### Notice that at these higher initial concentrations of [E], we're now beginning to see overshoots in [E] and [ES*]"
]
},
{
"cell_type": "code",
"execution_count": 73,
"id": "c7d3f38c-331b-47f2-9ae0-31531c62c7e2",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" E | \n",
" ES* | \n",
" P | \n",
"
\n",
" \n",
" \n",
" \n",
" | 836 | \n",
" 0.050265 | \n",
" 4.765697 | \n",
" 5.234303 | \n",
" 12.304598 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME E ES* P\n",
"836 0.050265 4.765697 5.234303 12.304598"
]
},
"execution_count": 73,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.get_history(columns=['SYSTEM TIME', 'E', 'ES*', 'P'], tail=1) # Last point in the simulation"
]
},
{
"cell_type": "code",
"execution_count": 74,
"id": "38c003d2-e007-4c47-9c91-3fb6c2a626ea",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"12.304597774138907"
]
},
"execution_count": 74,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_equil = dynamics.get_chem_conc(\"P\")\n",
"P_equil"
]
},
{
"cell_type": "markdown",
"id": "04f9845c-4a0d-4309-acd6-46fcc1d59136",
"metadata": {},
"source": [
"#### P_equil continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 75,
"id": "51356bd2-f34f-4189-8f39-c11804c6062c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"8.613218441897235"
]
},
"execution_count": 75,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_70_threshold = P_equil * 0.70\n",
"P_70_threshold"
]
},
{
"cell_type": "code",
"execution_count": 76,
"id": "f40ab9f2-a1fe-46a0-b755-9e2dd332ce9f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.008274545666098492"
]
},
"execution_count": 76,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.reach_threshold(chem=\"P\", threshold=P_70_threshold)"
]
},
{
"cell_type": "markdown",
"id": "319960a1-b1b3-4237-87b2-f634420acec9",
"metadata": {},
"source": [
"#### The time at which we reach the 70% threshold of the equilibrium value of P continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "e69e2707-5dfa-465f-9842-64f796c55dac",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "903586d5-e021-4536-bc32-987df21b2e69",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "e813f05f-1cbb-4b9e-8bc3-9902ba313445",
"metadata": {
"tags": []
},
"source": [
"# 7. Keep increasing the initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 77,
"id": "70c6943f-9deb-4ec0-89eb-382c9728e889",
"metadata": {},
"outputs": [],
"source": [
"E_init = 20.0 # Same as the initial [S]"
]
},
{
"cell_type": "code",
"execution_count": 78,
"id": "0e1fec6a-0cca-4ca7-b54e-340fbef124d8",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"4 species:\n",
" Species 0 (S). Conc: 20.0\n",
" Species 1 (P). Conc: 0.0\n",
" Species 2 (E). Conc: 20.0\n",
" Species 3 (ES*). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'S', 'E', 'ES*', 'P'}\n"
]
}
],
"source": [
"dynamics = UniformCompartment(chem_data=chem_data, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n",
"\n",
"dynamics.set_conc(conc={\"S\": 20., \"E\": E_init}, snapshot=True) \n",
"dynamics.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 79,
"id": "27e46b9b-802e-4de5-b549-062ba7a4866b",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Some steps were backtracked and re-done, to prevent negative concentrations or excessively large concentration changes\n",
"757 total step(s) taken\n",
"Number of step re-do's because of negative concentrations: 0\n",
"Number of step re-do's because of elective soft aborts: 2\n",
"Norm usage: {'norm_A': 743, 'norm_B': 746, 'norm_C': 742, 'norm_D': 742}\n"
]
}
],
"source": [
"# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n",
"dynamics.single_compartment_react(duration=0.02,\n",
" initial_step=0.00005, variable_steps=True, explain_variable_steps=False)"
]
},
{
"cell_type": "code",
"execution_count": 80,
"id": "4b74d93a-54a3-4c96-88d8-b9c4fcc34059",
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],
"source": [
"# Verify that the reactions have reached equilibrium\n",
"dynamics.is_in_equilibrium(verbose=False)"
]
},
{
"cell_type": "code",
"execution_count": 81,
"id": "cec660e7-1c5c-4215-9501-1abd52f96df9",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_curves() WARNING: Excessive number of vertical lines (758) - only showing 1 every 6 lines\n"
]
},
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['cyan', 'green', 'violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"[E] init = {E_init}\")"
]
},
{
"cell_type": "code",
"execution_count": 82,
"id": "b44a6da4-b3bb-4297-932b-3df13fe796d0",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0024715441102170356, 4.283809315596441)"
]
},
"execution_count": 82,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.02)"
]
},
{
"cell_type": "markdown",
"id": "45539de2-b37b-4749-aa4f-b247c860b3ee",
"metadata": {},
"source": [
"#### The timescale of [S] and [P] continues to become faster with a higher initial [E] -- **AND THEY'RE NOW GETTING CLOSE THE TIMESCALES OF E AND ES**"
]
},
{
"cell_type": "code",
"execution_count": 83,
"id": "5fcdb4fd-0dba-43b7-880f-4c8b3aceca1e",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
"x": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#The very early part of the reaction\n",
"dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"Detail when [E] init = {E_init}\", xrange=[0, 0.002])"
]
},
{
"cell_type": "code",
"execution_count": 84,
"id": "2551a571-f014-41fb-9768-faf3b3a404e5",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_curves() WARNING: Excessive number of vertical lines (758) - only showing 1 every 6 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
"x": [
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The full reaction of E and ES*\n",
"dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"E and ES when [E] init = {E_init}\")"
]
},
{
"cell_type": "markdown",
"id": "14a5ce9f-8a93-4ad4-a8fa-e26496b0e573",
"metadata": {},
"source": [
"#### At these higher initial concentrations of [E], we're now beginning to see overshoots in [E] and [ES*] that overlap less"
]
},
{
"cell_type": "code",
"execution_count": 85,
"id": "05426505-fa5c-4b0f-bdae-9eaf3cace1dd",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" E | \n",
" ES* | \n",
" P | \n",
"
\n",
" \n",
" \n",
" \n",
" | 757 | \n",
" 0.020147 | \n",
" 10.998147 | \n",
" 9.001853 | \n",
" 9.163739 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME E ES* P\n",
"757 0.020147 10.998147 9.001853 9.163739"
]
},
"execution_count": 85,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.get_history(columns=['SYSTEM TIME', 'E', 'ES*', 'P'], tail=1) # Last point in the simulation"
]
},
{
"cell_type": "code",
"execution_count": 86,
"id": "50529736-69a0-404a-ac61-2b5f9b2ba216",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"9.163739207468186"
]
},
"execution_count": 86,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_equil = dynamics.get_chem_conc(\"P\")\n",
"P_equil"
]
},
{
"cell_type": "markdown",
"id": "60e3e92e-32ba-46f7-8c4c-760ac69054ea",
"metadata": {},
"source": [
"#### P_equil continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 87,
"id": "31d1a073-906e-45d0-90d2-d63f8e4d7df2",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"6.41461744522773"
]
},
"execution_count": 87,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_70_threshold = P_equil * 0.70\n",
"P_70_threshold"
]
},
{
"cell_type": "code",
"execution_count": 88,
"id": "c6d79966-d114-4e66-bb94-bcf852fee8be",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.004076150862005783"
]
},
"execution_count": 88,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.reach_threshold(chem=\"P\", threshold=P_70_threshold)"
]
},
{
"cell_type": "markdown",
"id": "3c014242-7a93-4368-ac71-0e2aa7dc88f5",
"metadata": {
"tags": []
},
"source": [
"#### The time at which we reach the 70% threshold of the equilibrium value of P continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "2ca50397-215f-490e-ac27-c2b76cf51dae",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "845d2620-d0a2-4080-a201-a118fede9e48",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "c45bfaac-3a80-473c-a9b5-cc0c55bf1c5f",
"metadata": {
"tags": []
},
"source": [
"# 8. Keep increasing the initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 89,
"id": "06f75fcd-19b7-45dd-bcd5-ea5136280700",
"metadata": {},
"outputs": [],
"source": [
"E_init = 30.0 # 50% higher than the initial [S]"
]
},
{
"cell_type": "code",
"execution_count": 90,
"id": "86ebdf54-6e5e-4450-acc2-9c45fb978d6d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"4 species:\n",
" Species 0 (S). Conc: 20.0\n",
" Species 1 (P). Conc: 0.0\n",
" Species 2 (E). Conc: 30.0\n",
" Species 3 (ES*). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'S', 'E', 'ES*', 'P'}\n"
]
}
],
"source": [
"dynamics = UniformCompartment(chem_data=chem_data, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n",
"\n",
"dynamics.set_conc(conc={\"S\": 20., \"E\": E_init}, snapshot=True) \n",
"dynamics.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 91,
"id": "45e38a17-5515-4d69-8b27-168331473dd4",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Some steps were backtracked and re-done, to prevent negative concentrations or excessively large concentration changes\n",
"749 total step(s) taken\n",
"Number of step re-do's because of negative concentrations: 0\n",
"Number of step re-do's because of elective soft aborts: 2\n",
"Norm usage: {'norm_A': 743, 'norm_B': 746, 'norm_C': 742, 'norm_D': 742}\n"
]
}
],
"source": [
"# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n",
"dynamics.single_compartment_react(duration=0.01,\n",
" initial_step=0.00005, variable_steps=True, explain_variable_steps=False)"
]
},
{
"cell_type": "code",
"execution_count": 92,
"id": "8d7277d0-1d8f-479a-9110-eace7ef00222",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 92,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Verify that the reactions have reached equilibrium\n",
"dynamics.is_in_equilibrium(verbose=False)"
]
},
{
"cell_type": "code",
"execution_count": 93,
"id": "dd0211e8-5dfb-4c1c-809c-b7824f04af50",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_curves() WARNING: Excessive number of vertical lines (750) - only showing 1 every 6 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=S
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "S",
"line": {
"color": "cyan",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "S",
"showlegend": true,
"type": "scattergl",
"x": [
0,
5e-06,
5.505000000000001e-06,
5.7575e-06,
5.88375e-06,
5.9468750000000006e-06,
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",
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},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['cyan', 'green', 'violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"[E] init = {E_init}\")"
]
},
{
"cell_type": "code",
"execution_count": 94,
"id": "64c0b5f9-1a4a-4b65-a927-f4c24839c44c",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0015007776137844029, 2.9518860757696133)"
]
},
"execution_count": 94,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.01)"
]
},
{
"cell_type": "markdown",
"id": "cd858e13-44eb-4e0e-a77f-82001e764fbc",
"metadata": {},
"source": [
"#### The timescale of [S] and [P] continues to become faster with a higher initial [E] -- **AND THEY'RE NOW COMPARABLE THE TIMESCALES OF E AND ES**"
]
},
{
"cell_type": "code",
"execution_count": 95,
"id": "1bf0ed70-9c0a-4c93-b538-0cafeb01921b",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#The very early part of the reaction\n",
"dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"Detail when [E] init = {E_init}\", xrange=[0, 0.005])"
]
},
{
"cell_type": "code",
"execution_count": 96,
"id": "8d9bcbff-1ff0-4ad5-8d77-223171966b86",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_curves() WARNING: Excessive number of vertical lines (750) - only showing 1 every 6 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=E
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "E",
"line": {
"color": "violet",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
"mode": "lines",
"name": "E",
"showlegend": true,
"type": "scattergl",
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# The full reaction of E and ES*\n",
"dynamics.plot_history(chemicals=['E', 'ES*'], colors=['violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"E and ES when [E] init = {E_init}\")"
]
},
{
"cell_type": "markdown",
"id": "7e1d57c5-4f7a-4e1e-a9e5-0303d60e3020",
"metadata": {},
"source": [
"#### At these high initial concentrations of [E], we're now beginning to see [E] and [ES*] no longer overlapping; the overshoot is still present in both"
]
},
{
"cell_type": "code",
"execution_count": 97,
"id": "ff72f0a5-b05c-4269-9d98-786e0b53c921",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" E | \n",
" ES* | \n",
" P | \n",
"
\n",
" \n",
" \n",
" \n",
" | 749 | \n",
" 0.010054 | \n",
" 18.411337 | \n",
" 11.588663 | \n",
" 6.998847 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME E ES* P\n",
"749 0.010054 18.411337 11.588663 6.998847"
]
},
"execution_count": 97,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.get_history(columns=['SYSTEM TIME', 'E', 'ES*', 'P'], tail=1) # Last point in the simulation"
]
},
{
"cell_type": "code",
"execution_count": 98,
"id": "907c937b-bba7-4f7d-8682-86daa9717831",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"6.998846772430818"
]
},
"execution_count": 98,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_equil = dynamics.get_chem_conc(\"P\")\n",
"P_equil"
]
},
{
"cell_type": "markdown",
"id": "96560369-9a78-40f4-90c3-2ecb441f2bc4",
"metadata": {},
"source": [
"#### P_equil continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 99,
"id": "8a14ce96-a237-4610-9e87-38a6231ca263",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"4.899192740701572"
]
},
"execution_count": 99,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_70_threshold = P_equil * 0.70\n",
"P_70_threshold"
]
},
{
"cell_type": "code",
"execution_count": 100,
"id": "f6d96e06-599d-4c14-beca-30a37d083617",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.002747856201107546"
]
},
"execution_count": 100,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.reach_threshold(chem=\"P\", threshold=P_70_threshold)"
]
},
{
"cell_type": "markdown",
"id": "9dc94f9b-7c97-468d-90b4-c37b7483ca67",
"metadata": {
"tags": []
},
"source": [
"#### The time at which we reach the 70% threshold of the equilibrium value of P continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "3715cc7b-385f-4119-8b75-2d494ffd892e",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "cef69c73-8295-4f75-8310-ebcc3ec4fc2b",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "f4d60280-db10-4e82-9d6f-02090bdd888d",
"metadata": {
"tags": []
},
"source": [
"# 9. Keep increasing the initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 101,
"id": "a6b8d011-9592-4386-983e-f530b5f90298",
"metadata": {},
"outputs": [],
"source": [
"E_init = 60.0 # Triple the initial [S]"
]
},
{
"cell_type": "code",
"execution_count": 102,
"id": "2b677f97-a5de-486a-89f8-9bc3137b3d7e",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"4 species:\n",
" Species 0 (S). Conc: 20.0\n",
" Species 1 (P). Conc: 0.0\n",
" Species 2 (E). Conc: 60.0\n",
" Species 3 (ES*). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'S', 'E', 'ES*', 'P'}\n"
]
}
],
"source": [
"dynamics = UniformCompartment(chem_data=chem_data, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n",
"\n",
"dynamics.set_conc(conc={\"S\": 20., \"E\": E_init}, snapshot=True) \n",
"dynamics.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 103,
"id": "07850faa-b7a7-4c58-9017-a95a1e93eb46",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Some steps were backtracked and re-done, to prevent negative concentrations or excessively large concentration changes\n",
"770 total step(s) taken\n",
"Number of step re-do's because of negative concentrations: 0\n",
"Number of step re-do's because of elective soft aborts: 3\n",
"Norm usage: {'norm_A': 765, 'norm_B': 767, 'norm_C': 764, 'norm_D': 764}\n"
]
}
],
"source": [
"# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n",
"dynamics.single_compartment_react(duration=0.005,\n",
" initial_step=0.00005, variable_steps=True, explain_variable_steps=False)"
]
},
{
"cell_type": "code",
"execution_count": 104,
"id": "b850c64e-b44b-4cce-881e-569483921906",
"metadata": {},
"outputs": [
{
"data": {
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"source": [
"# Verify that the reactions have reached equilibrium\n",
"dynamics.is_in_equilibrium(verbose=False)"
]
},
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"execution_count": 105,
"id": "28c1e572-a798-4605-82ba-9b7430bda4bf",
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{
"name": "stdout",
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"text": [
"plot_curves() WARNING: Excessive number of vertical lines (771) - only showing 1 every 6 lines\n"
]
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"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "[E] init = 60.0
Changes in concentrations for 3 reactions (time steps shown in dashed lines)"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
-2.1321434102623803e-06,
0.005008404870706331
],
"title": {
"text": "SYSTEM TIME"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-3.333333333333333,
63.333333333333336
],
"title": {
"text": "Concentration"
},
"type": "linear"
}
}
},
"image/png": 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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['cyan', 'green', 'violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"[E] init = {E_init}\")"
]
},
{
"cell_type": "code",
"execution_count": 106,
"id": "417d9ff2-d739-44af-aff0-72513b3c7d66",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0007023910558856093, 1.5191639777843677)"
]
},
"execution_count": 106,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.005)"
]
},
{
"cell_type": "markdown",
"id": "497f2877-4ce5-41cd-9119-e483df6fcf14",
"metadata": {},
"source": [
"#### The timescales of [S] and [P] continues to become faster with a higher initial [E] -- **AND NOW THEY REMAIN COMPARABLE THE TIMESCALES OF E AND ES**"
]
},
{
"cell_type": "markdown",
"id": "89ff44f1-0c42-4a6d-8fe3-b1efab242da1",
"metadata": {},
"source": [
"#### At these high initial concentrations of [E], [E] and [ES*] no longer overlapping, and are now getting further apart"
]
},
{
"cell_type": "code",
"execution_count": 107,
"id": "449c94a5-dd8e-4681-b654-dce7b685a7c7",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" E | \n",
" ES* | \n",
" P | \n",
"
\n",
" \n",
" \n",
" \n",
" | 770 | \n",
" 0.005008 | \n",
" 44.60637 | \n",
" 15.39363 | \n",
" 3.832618 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME E ES* P\n",
"770 0.005008 44.60637 15.39363 3.832618"
]
},
"execution_count": 107,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.get_history(columns=['SYSTEM TIME', 'E', 'ES*', 'P'], tail=1) # Last point in the simulation"
]
},
{
"cell_type": "code",
"execution_count": 108,
"id": "41db82fe-6607-44f8-9723-9a0d3f7306a6",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"3.832618199402545"
]
},
"execution_count": 108,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_equil = dynamics.get_chem_conc(\"P\")\n",
"P_equil"
]
},
{
"cell_type": "markdown",
"id": "c4951935-f4a1-4790-b198-fd0e2bfc18ca",
"metadata": {},
"source": [
"#### P_equil continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 109,
"id": "e7cb5350-03c0-49da-a185-fd7af33f1312",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2.682832739581781"
]
},
"execution_count": 109,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_70_threshold = P_equil * 0.70\n",
"P_70_threshold"
]
},
{
"cell_type": "code",
"execution_count": 110,
"id": "fbbb456b-0880-4aa2-b300-89d1204ad53d",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.001390053726276219"
]
},
"execution_count": 110,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.reach_threshold(chem=\"P\", threshold=P_70_threshold)"
]
},
{
"cell_type": "markdown",
"id": "977bfde9-42e1-4733-bac6-bae954134aac",
"metadata": {
"tags": []
},
"source": [
"#### The time at which we reach the 70% threshold of the equilibrium value of P continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "6c7df8fa-c510-45db-9e5f-52e62766e52f",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "09d0e661-f920-4070-82e4-e0e0affc188d",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "4a771e38-d7b2-444a-bfe8-b0032cbc79f4",
"metadata": {
"tags": []
},
"source": [
"# 10. Keep increasing the initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 111,
"id": "338fbe68-dde9-4159-a405-973ee8a7c796",
"metadata": {},
"outputs": [],
"source": [
"E_init = 100.0 # Quintuple the initial [S]"
]
},
{
"cell_type": "code",
"execution_count": 112,
"id": "c45f280a-708c-4de0-95dc-03a629dbebfe",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SYSTEM STATE at Time t = 0:\n",
"4 species:\n",
" Species 0 (S). Conc: 20.0\n",
" Species 1 (P). Conc: 0.0\n",
" Species 2 (E). Conc: 100.0\n",
" Species 3 (ES*). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'S', 'E', 'ES*', 'P'}\n"
]
}
],
"source": [
"dynamics = UniformCompartment(chem_data=chem_data, preset=\"slower\") # A brand-new simulation, with the same chemicals and reactions as before\n",
"\n",
"dynamics.set_conc(conc={\"S\": 20., \"E\": E_init}, snapshot=True) \n",
"dynamics.describe_state()"
]
},
{
"cell_type": "code",
"execution_count": 113,
"id": "5d5bcb4d-3932-4cee-bb45-7bd19db664a1",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Some steps were backtracked and re-done, to prevent negative concentrations or excessively large concentration changes\n",
"785 total step(s) taken\n",
"Number of step re-do's because of negative concentrations: 0\n",
"Number of step re-do's because of elective soft aborts: 3\n",
"Norm usage: {'norm_A': 784, 'norm_B': 787, 'norm_C': 783, 'norm_D': 783}\n"
]
}
],
"source": [
"# Perform the reactions (The duration of the run was manually adjusted for optimal visibility)\n",
"dynamics.single_compartment_react(duration=0.003,\n",
" initial_step=0.00005, variable_steps=True, explain_variable_steps=False)"
]
},
{
"cell_type": "code",
"execution_count": 114,
"id": "2ca20feb-38fe-4737-99b7-2b0472453781",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 114,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Verify that the reactions have reached equilibrium\n",
"dynamics.is_in_equilibrium(verbose=False)"
]
},
{
"cell_type": "code",
"execution_count": 115,
"id": "38b01a6e-4c2a-47a2-b4bf-793f90470590",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"plot_curves() WARNING: Excessive number of vertical lines (786) - only showing 1 every 6 lines\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
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"hovertemplate": "Chemical=S
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['cyan', 'green', 'violet', 'red'], show_intervals=True, \n",
" title_prefix=f\"[E] init = {E_init}\")"
]
},
{
"cell_type": "code",
"execution_count": 116,
"id": "803d88fa-f551-4f56-96af-37b417c505b4",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0004266715141239805, 0.9491814221946882)"
]
},
"execution_count": 116,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Locate the intersection of the curves for [S] and [P]:\n",
"dynamics.curve_intersect(\"S\", \"P\", t_start=0, t_end=0.005)"
]
},
{
"cell_type": "markdown",
"id": "ecbaf247-3675-44b8-9bbc-a71f37f341ba",
"metadata": {},
"source": [
"#### The timescales of [S] and [P] continues to become faster with a higher initial [E] -- **AND REMAIN COMPARABLE TO THE TIMESCALES OF E AND ES**"
]
},
{
"cell_type": "markdown",
"id": "3491b263-298d-4057-926a-c57ed7eb5444",
"metadata": {},
"source": [
"#### At these high initial concentrations of [E], [E] and [ES*] no longer overlapping, and are now getting further apart"
]
},
{
"cell_type": "code",
"execution_count": 117,
"id": "92812a67-0f27-4e7f-837b-368a426921d0",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" E | \n",
" ES* | \n",
" P | \n",
"
\n",
" \n",
" \n",
" \n",
" | 785 | \n",
" 0.003028 | \n",
" 82.779099 | \n",
" 17.220901 | \n",
" 2.312829 | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME E ES* P\n",
"785 0.003028 82.779099 17.220901 2.312829"
]
},
"execution_count": 117,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.get_history(columns=['SYSTEM TIME', 'E', 'ES*', 'P'], tail=1) # Last point in the simulation"
]
},
{
"cell_type": "code",
"execution_count": 118,
"id": "5c48aa58-e44c-4e18-9c60-c562560aa0e9",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2.3128291895441793"
]
},
"execution_count": 118,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_equil = dynamics.get_chem_conc(\"P\")\n",
"P_equil"
]
},
{
"cell_type": "markdown",
"id": "da34f793-1dd1-41a0-a20b-8e15e82654db",
"metadata": {},
"source": [
"#### P_equil continues to decrease with increasing initial [E]"
]
},
{
"cell_type": "code",
"execution_count": 119,
"id": "98698d70-47a1-4763-be1f-89660bd27ffa",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"1.6189804326809254"
]
},
"execution_count": 119,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"P_70_threshold = P_equil * 0.70\n",
"P_70_threshold"
]
},
{
"cell_type": "code",
"execution_count": 120,
"id": "69acbdb6-7a06-4e96-9ad7-3bdfc3ef92c7",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.0008229365407830671"
]
},
"execution_count": 120,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.reach_threshold(chem=\"P\", threshold=P_70_threshold)"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "1806b972-6770-4a1a-be69-1f1504c6da94",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "6974ce46-642c-47a5-96b2-e4f3c9fa6b5d",
"metadata": {},
"source": [
"# CONCLUSION: \n",
"### as the initial concentration of the Enzyme E increases from zero to lavish values much larger that the concentration of the Substrate S, the reaction keeps reaching an equilibrium faster and faster... \n",
"#### BUT the equilibrium concentration of the Product P steadily _reduces_ - and ES*, far from being transient, actually builds up. \n",
"#### The **strange world of departing from the customary Michaelis-Menten assumptions** that [E] << [S] and that the rates satisfy k1_reverse >> k2_forward !"
]
},
{
"cell_type": "code",
"execution_count": 121,
"id": "073427b4-27a8-407d-bdee-0df89430eb16",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" S | \n",
" P | \n",
" E | \n",
" ES* | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.0 | \n",
" 20.0 | \n",
" 0.0 | \n",
" 100.0 | \n",
" 0.0 | \n",
" Initialized state | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME S P E ES* caption\n",
"0 0.0 20.0 0.0 100.0 0.0 Initialized state"
]
},
"execution_count": 121,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.get_history(head=1) # First point in the simulation"
]
},
{
"cell_type": "code",
"execution_count": 122,
"id": "1b5546d6",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" S | \n",
" P | \n",
" E | \n",
" ES* | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 785 | \n",
" 0.003028 | \n",
" 0.46627 | \n",
" 2.312829 | \n",
" 82.779099 | \n",
" 17.220901 | \n",
" | \n",
"
\n",
" \n",
"
\n",
"
"
],
"text/plain": [
" SYSTEM TIME S P E ES* caption\n",
"785 0.003028 0.46627 2.312829 82.779099 17.220901 "
]
},
"execution_count": 122,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.get_history(tail=1) # Last point in the simulation"
]
},
{
"cell_type": "markdown",
"id": "9c5c0d06-8dc7-43c9-affa-5ead52f95cb8",
"metadata": {},
"source": [
"### When the initial [E] is quite high, relatively little of the reactant S goes into making the product P ; most of S binds with the abundant E, to produce a lasting ES* \n",
"The following manual stoichiometry check illustrates it."
]
},
{
"cell_type": "markdown",
"id": "22946daf-a9fc-4b93-a9ff-b97b385299a0",
"metadata": {},
"source": [
"#### Manual overall STOICHIOMETRY CHECK:"
]
},
{
"cell_type": "code",
"execution_count": 123,
"id": "8e3cdce6-5f0d-404a-aaa1-907b4c5ab241",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-19.53373"
]
},
"execution_count": 123,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"delta_S = 0.46627 - 20.0\n",
"delta_S"
]
},
{
"cell_type": "code",
"execution_count": 124,
"id": "4e36063d-e6f9-4dfd-b1f3-79f4aeafdd8f",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-17.220900999999998"
]
},
"execution_count": 124,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"delta_E = 82.779099 - 100.0\n",
"delta_E"
]
},
{
"cell_type": "code",
"execution_count": 125,
"id": "3dbf7a73",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-17.220900999999998"
]
},
"execution_count": 125,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"delta_E = 82.779099 - 100.0\n",
"delta_E"
]
},
{
"cell_type": "code",
"execution_count": 126,
"id": "ffd30805-1f47-4410-a6c8-5c8db4d9bbad",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"17.220901"
]
},
"execution_count": 126,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"delta_ES = 17.220901 - 0\n",
"delta_ES"
]
},
{
"cell_type": "code",
"execution_count": 127,
"id": "4d77a7f6-0d90-46e7-9d7a-b155460e546d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of reactions: 3 (at temp. 25 C)\n",
"0: S <-> P (kF = 1 / kR = 0.2 / delta_G = -3,989.7 / K = 5) | 1st order in all reactants & products\n",
"1: E + S <-> ES* (kF = 100 / kR = 224.07 / delta_G = 2,000 / K = 0.44629) | 1st order in all reactants & products\n",
"2: ES* <-> E + P (kF = 200 / kR = 17.851 / delta_G = -5,989.7 / K = 11.204) | 1st order in all reactants & products\n",
"Set of chemicals involved in the above reactions: {'S', 'E', 'ES*', 'P'}\n"
]
}
],
"source": [
"chem_data.describe_reactions()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "83580347-c7aa-4ac7-aafc-cc81b24de20a",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "95749790-0ab6-4640-b525-4802dcaf9de3",
"metadata": {},
"source": [
"19.53373 units of `S` are consumed : a meager 2.312829 of that goes into the production of `P` (rxn 0) ; the remainder of Delta S is:"
]
},
{
"cell_type": "code",
"execution_count": 128,
"id": "b7372ba6-8da7-4ee0-a888-d04baea7f4c9",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"17.220900999999998"
]
},
"execution_count": 128,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"19.53373 - 2.312829"
]
},
{
"cell_type": "markdown",
"id": "78d8e067-1704-44d8-8f10-a7888d44c277",
"metadata": {},
"source": [
"That extra Delta S of 17.2209 combines with an equal amount of `E` to produce the same amount, 17.2209, of ES* (rxn 1) \n",
"\n",
"`E`, now depleted by that amount of 17.2209, reaches the value:"
]
},
{
"cell_type": "code",
"execution_count": 129,
"id": "271f073f-1e22-456b-825b-2acf555519c9",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"82.7791"
]
},
"execution_count": 129,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"100 - 17.2209"
]
},
{
"cell_type": "code",
"execution_count": 130,
"id": "a1f87fde-d486-40ab-baee-b73b0abf9f6c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0: S <-> P\n",
"Final concentrations: [S] = 0.4663 ; [P] = 2.313\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 4.96028\n",
" Formula used: [P] / [S]\n",
"2. Ratio of forward/reverse reaction rates: 5.00001\n",
"Discrepancy between the two values: 0.7945 %\n",
"Reaction IS in equilibrium (within 1% tolerance)\n",
"\n",
"1: E + S <-> ES*\n",
"Final concentrations: [E] = 82.78 ; [S] = 0.4663 ; [ES*] = 17.22\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 0.446167\n",
" Formula used: [ES*] / ([E][S])\n",
"2. Ratio of forward/reverse reaction rates: 0.446288\n",
"Discrepancy between the two values: 0.027 %\n",
"Reaction IS in equilibrium (within 1% tolerance)\n",
"\n",
"2: ES* <-> E + P\n",
"Final concentrations: [ES*] = 17.22 ; [E] = 82.78 ; [P] = 2.313\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 11.1175\n",
" Formula used: ([E][P]) / [ES*]\n",
"2. Ratio of forward/reverse reaction rates: 11.2035\n",
"Discrepancy between the two values: 0.7677 %\n",
"Reaction IS in equilibrium (within 1% tolerance)\n",
"\n"
]
},
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 130,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# Also review that the chemical equilibrium holds, with the final simulation values\n",
"dynamics.is_in_equilibrium()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "3c4cee2d-2d29-4666-b067-45a4cd9706b4",
"metadata": {},
"outputs": [],
"source": []
}
],
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