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"## A complex (multistep) reaction `A <-> C` derived from 2 coupled elementary reactions: \n",
"## `A <-> B` (fast) and `B <-> C` (slow) \n",
"A repeat of experiment `cascade_2_b`, but with the fast/slow elementary reactions in reverse order.\n",
"\n",
"In PART 1, a time evolution of [A], [B] and [C] is obtained by simulation \n",
"In PART 2, the time functions generated in Part 1 are taken as a _starting point,_ to explore how to model the composite reaction `A <-> C` \n",
"\n",
"**Background**: please see experiment `cascade_2_b` "
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "e78264e5-14ff-4244-83a6-d57fe8edd9c2",
"metadata": {},
"outputs": [],
"source": [
"LAST_REVISED = \"Nov. 12, 2024\"\n",
"LIFE123_VERSION = \"1.0.0.rc.0\" # Library version this experiment is based on"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "75d25846-96a5-4040-a82f-bedd1cec0ec1",
"metadata": {},
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"source": [
"#import set_path # Using MyBinder? Uncomment this before running the next cell!"
]
},
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"cell_type": "code",
"execution_count": 3,
"id": "3924c013",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"#import sys\n",
"#sys.path.append(\"C:/some_path/my_env_or_install\") # CHANGE to the folder containing your venv or libraries installation!\n",
"# NOTE: If any of the imports below can't find a module, uncomment the lines above, or try: import set_path \n",
"\n",
"from experiments.get_notebook_info import get_notebook_basename\n",
"\n",
"from life123 import UniformCompartment, ReactionKinetics, PlotlyHelper"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "75411c8b-f0c5-411d-9e12-1eaa423449f9",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "9329208b-070f-4902-8f37-0f11ddf75ed6",
"metadata": {},
"source": [
"# PART 1 - We'll generate the time evolution of [A] and [C] by simulating coupled elementary reactions of KNOWN rate constants...\n",
"## but pretend you don't see this section! (because we later assume that those time evolutions are just GIVEN to us)"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "72b4245c-de4e-480d-a501-3495b7ed8bc4",
"metadata": {
"tags": []
},
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{
"name": "stdout",
"output_type": "stream",
"text": [
"Number of reactions: 2 (at temp. 25 C)\n",
"0: A <-> B (kF = 80 / kR = 0.1 / delta_G = -16,571 / K = 800) | 1st order in all reactants & products\n",
"1: B <-> C (kF = 8 / kR = 2 / delta_G = -3,436.6 / K = 4) | 1st order in all reactants & products\n",
"Set of chemicals involved in the above reactions: {'B', 'C', 'A'}\n"
]
}
],
"source": [
"# Instantiate the simulator and specify the chemicals\n",
"dynamics = UniformCompartment(names=[\"A\", \"B\", \"C\"], preset=\"mid\")\n",
"\n",
"# Reaction A <-> B (much faster, and with a much larger K)\n",
"dynamics.add_reaction(reactants=\"A\", products=\"B\",\n",
" forward_rate=80., reverse_rate=0.1) # <===== SPEEDS of 2 reactions ARE REVERSED, relative to experiment `cascade_2_b`\n",
"\n",
"# Reaction B <-> C (much slower, and with a much smaller K)\n",
"dynamics.add_reaction(reactants=\"B\", products=\"C\", \n",
" forward_rate=8., reverse_rate=2.) # <===== SPEEDS of 2 reactions ARE REVERSED, relative to experiment `cascade_2_b`\n",
" \n",
"dynamics.describe_reactions()"
]
},
{
"cell_type": "markdown",
"id": "98a9fbe5-2090-4d38-9c5f-94fbf7c3eae2",
"metadata": {},
"source": [
"### Run the simulation"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "ae304704-c8d9-4cef-9e0b-2587bb3909ef",
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"text": [
"SYSTEM STATE at Time t = 0:\n",
"3 species:\n",
" Species 0 (A). Conc: 50.0\n",
" Species 1 (B). Conc: 0.0\n",
" Species 2 (C). Conc: 0.0\n",
"Set of chemicals involved in reactions: {'B', 'C', 'A'}\n"
]
}
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"dynamics.set_conc({\"A\": 50.}, snapshot=True)\n",
"dynamics.describe_state()"
]
},
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"cell_type": "code",
"execution_count": 6,
"id": "2502cd11-0df9-4303-8895-98401a1df7b8",
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"name": "stdout",
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"text": [
"152 total step(s) taken in 0.287 sec\n",
"Number of step re-do's because of elective soft aborts: 4\n",
"Norm usage: {'norm_A': 46, 'norm_B': 44, 'norm_C': 42, 'norm_D': 42}\n",
"System Time is now: 0.80143\n"
]
}
],
"source": [
"dynamics.single_compartment_react(initial_step=0.01, duration=0.8,\n",
" variable_steps=True)"
]
},
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"cell_type": "code",
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"id": "a2c0e793-5457-46a5-9150-388c9f562cf0",
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"text": [
"plot_pandas() NOTICE: Excessive number of vertical lines (153) - only showing 1 every 2 lines\n"
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(colors=['darkturquoise', 'orange', 'green'], show_intervals=True)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "042a23ff-84de-4273-ae7b-09b73b740b4c",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0: A <-> B\n",
"Final concentrations: [A] = 0.01218 ; [B] = 9.998\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 821.034\n",
" Formula used: [B] / [A]\n",
"2. Ratio of forward/reverse reaction rates: 800\n",
"Discrepancy between the two values: 2.629 %\n",
"Reaction IS in equilibrium (within 3% tolerance)\n",
"\n",
"1: B <-> C\n",
"Final concentrations: [B] = 9.998 ; [C] = 39.99\n",
"1. Ratio of reactant/product concentrations, adjusted for reaction orders: 3.99992\n",
" Formula used: [C] / [B]\n",
"2. Ratio of forward/reverse reaction rates: 4\n",
"Discrepancy between the two values: 0.001889 %\n",
"Reaction IS in equilibrium (within 3% tolerance)\n",
"\n"
]
},
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"dynamics.is_in_equilibrium(tolerance=3)"
]
},
{
"cell_type": "markdown",
"id": "b56568ac-1e46-4242-9141-ca197b654c55",
"metadata": {},
"source": [
"#### A profoundly different plot than we got in experiment `cascade_2_b`"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "f2c169b6-3b95-42f5-9a5c-c323c200d829",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"id": "bed9100c-f575-4591-bf8e-a32de741fa7a",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "1f447754-5017-4b48-a4f5-fc9049b7de64",
"metadata": {},
"source": [
"# PART 2 - This is the starting point of fitting the data from part 1. \n",
"### We're given the data of the time evolution of `A` and `C`, and we want to try to model the complex reaction `A <-> C`"
]
},
{
"cell_type": "markdown",
"id": "b5f75cfb-45b4-4fd2-ad4c-c2a2084ca62d",
"metadata": {},
"source": [
"Let's start by taking stock of the actual data (saved during the simulation of part 1):"
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "f26c98c3-802c-4c38-a726-06ac4a77211a",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" | \n",
" SYSTEM TIME | \n",
" A | \n",
" C | \n",
" caption | \n",
"
\n",
" \n",
" \n",
" \n",
" | 0 | \n",
" 0.000000 | \n",
" 50.000000 | \n",
" 0.000000 | \n",
" Set concentration | \n",
"
\n",
" \n",
" | 1 | \n",
" 0.000256 | \n",
" 48.976000 | \n",
" 0.000000 | \n",
" 1st reaction step | \n",
"
\n",
" \n",
" | 2 | \n",
" 0.000563 | \n",
" 47.772397 | \n",
" 0.002517 | \n",
" | \n",
"
\n",
" \n",
" | 3 | \n",
" 0.000717 | \n",
" 47.185404 | \n",
" 0.005250 | \n",
" | \n",
"
\n",
" \n",
" | 4 | \n",
" 0.000794 | \n",
" 46.895519 | \n",
" 0.006975 | \n",
" | \n",
"
\n",
" \n",
" | ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
" ... | \n",
"
\n",
" \n",
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" 0.450771 | \n",
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"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "LEAST-SQUARE FIT ANALYSIS:"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
0.8014255016541643
],
"title": {
"text": "t"
},
"type": "linear"
},
"xaxis2": {
"anchor": "y2",
"autorange": false,
"domain": [
0,
1
],
"range": [
0.012176981459689849,
11.007806410241823
],
"title": {
"text": "A(t)"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0.575,
1
],
"range": [
-20.568168564592035,
316.3224754545213
],
"title": {
"text": "d/dt C(t)"
},
"type": "linear"
},
"yaxis2": {
"anchor": "x2",
"autorange": false,
"domain": [
0,
0.425
],
"range": [
156.97833411951734,
302.30370997089955
],
"title": {
"text": "d/dt C(t)"
},
"type": "linear"
}
}
},
"image/png": 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jFfbAyHEyZvzUpKiXYbTXHnXlxUdvSxo+VGRXAs+/Ok2GP/Zy0QfJNqbpMwhAAAIQgEB5JYDol9eeo94QgMAuBKKJ/vQPPpHr7nwspoR6Rd8RkSAC7q2QI+Tu9/tc0FluGtizWNJIghytPWV1QSIM0b/x7pHyzvsfFV3UWLx0pfS4fKj4sUl0mJe16Me66JRou1Ipn9Pvg6+6UC45v5PdNOe9Vs0bF12kccbL4lljUqn5tAUCEIAABCCgSgDRV8VLcAhAoDQJRJMrIwu//r425gxvGKLvXBxwy4rh4Fxs8L5v6u0nudHa4ydJpcnar6ygM/qIfln3VHKU74wXt8Aj+snRN9QCAhCAAATKPwFEv/z3IS2AAAR2EogmxuYz98xhJGglFX1HVKLdQmBE17m9wE92nLrFmhU2cRZ+vazUbzOIxC6o6HvzM6Ofnl9hM16mzvw45vhlRj89xwethgAEIACBkhFA9EvGj9wQgEAZEXDk0Fu8n2A7M+x+S3/9ltebe7vNPfre+4edsqIt449XdiPtG2AkP1bbnBUCQW4rcGTJHTPSigNzQWSadauD2TPAOfzY+cU06WPdZ+1mZNKbZfvew73CwcvC6Z9oQy/S0n1vLC87Z68Ed2y/MeW0wZ3OuZAUpO8i1d1vPHrZe9OYfnTvK+GMW28/+AmzX129F8Tc+Zz07j7wfk+C9I/f2HH63H2BK9IYYxl/GZ14KRYCEIAABMoNAUS/3HQVFYUABBwCjuB6hSTSDLiRt733qLfLJnx+6Us6ox/PvfOxlt/HmtE3PCIt+/eOFiNMhzdtVHQvtJPXLfsOV/OZW4D9pNmvnUEvcnjTRZrRj/S+qc8j91wTdSNCb539Vlr47b9g2vUP635xZ0NEv3x+wmxifblkRdEYC9J33j6KNB7d9fFLY9pqDmcDyXhF3y3NTl73d8st217BdvrSPV6CfgcizdR728iMPud+CEAAAhCAQPwEEP34mZEDAhAoYwLRZsG9s6+OqHlnbiMtey+p6MezCVysDQKDyGKkixhBush720CkCyheMY8kkmGLfqRygrTN2w+R5DMIP+9YCfL0hiB9525HkNUZ8Y7ZIDP6fiy97Ysk2rEu0MRaaYLoBxnJpIEABCAAAQgkRgDRT4wbuSAAgTIiEG0W3E+uIt0HHEnWUln0I92K4MzSRhJ9r3BHEs6wRd+9wiDepdpe0Y+08sGvLX7L8t3L0Z3l/dGeEuA3Ft3tcb4+zooK960okW59iHfMBhX9WLcrRBLyaBdigqw0QfTL6CRKsRCAAAQgkBYEEP206GYaCYHUIRCv6Bs56tyxzS6PtItXmmLNTjqEvcuoo5EvzRl9575udzuCzuiXlegbdn4XJ4I8hs9P9CP1hVvinXvQ3ZLsdzEg1r308c7om7r5XQhwr1CJd8zGEn2nPO899UFn9CNdOHI4x+onRD91zsu0BAIQgAAEko8Aop98fUKNIACBKATiEf1oIh2vNAUVfUdeYm1I5xa7SGmDyGKQpeexlton64y+3zBwZp9j9UfQGX13GZGegBDr6QZ+j00M0nexvujOWHLul493zMYSfcPSHC8+eluxqsQr+kHGul9bEf1YI4DPIQABCEAAAokTQPQTZ0dOCECgjAgEvUffiMSvv6/dRWRMtYPe7xzk3mk3hngerxdrM76g94LHmjkNW/RjxYslfn5L/IMs9TacYzFz+sLvHn0/qQ1D9P3GU5C+C/L1cXMJOmb9Nhl06vjO+x+Jc2GnpKIftC8itTOo6Ed7BGUQhqSBAAQgAAEIpCMBRD8de502Q6CcE/ATRWem173U2UiSd2d+p+l+96M7cb1LmYNKqBPbEa1Ij69zvx9NCIPOJMea3fbbNM19H3q8M/qmnd4Za/ey80RE3086TR3X/PFXsaclBN0HIMiu+6Ydpt7PWTvmm1ltvzHhyKh3eb+3jX47xS/8elnMZ8S7x4x5pKF7dt0r7PGOWfd3wa+//Vg6tyS480bb9d5v133nooL3KQ/e005Q0Y/3Yls5P71RfQhAAAIQgEAoBBD9UDASBAIQKG0C3g3TjOxed+dj4giKI0nRNnHz3hNtZsYXLV5e7Jnkpl3ee5FjibXDwu8+bu+Fh1izle7nnHufKBDrQoC7T/zaaj4fM35q0Qxv0M34nLjuupmLF62aNbbjJSL67s3oTHzTF2ecfIz0uHzoLkMryMZ8kZ5+EKtPvH1t+ss8Ns8t7dGeAe+ubLS+8/u++D3T3ssy6Jj1S2cumrhn9B0hN+85hynvmtsekdbNmxRdYIn1eDu/vQVMvFj9FFT0/eoZK3Zpn48oDwIQgAAEIJBsBBD9ZOsR6gMBCIRCIMi966EUFEKQeFcM2BK1dKUtwZFWLIRQLUKUEwJBn1tfTppDNSEAAQhAAAIQCIEAoh8CREJAAALJRcCR4KAz72Vd+6DL0d31RO7KuteSp3zGQvL0BTWBAAQgAAEIJAsBRD9ZeoJ6QAACaU0g6G7yBpKz/DzWEvm0BppGjUf006izaSoEIAABCEAgIAFEPyAokkEAAhCAAAQgAAEIQAACEIAABMoDAUS/PPQSdYQABCAAAQhAAAIQgAAEIAABCAQkgOgHBEUyCEAAAhCAAAQgAAEIQAACEIBAeSCA6IfQS7+szQkhCiHcBCpmZkjdGlny+/qtgFEgsHutLFm/OVdy8woUoqd3yN2qVpQKGRmSvSU3vUEotD6zQobUt8bumr84LyjgtdlmW+eF7ZwXQsdbvUpFMf9d22Dx5QiXQAXrvLCHNXZ/47wQLtid0erVzJJNObliXjkgAIHyRQDRD6G/EP0QIHpCIPrhM3VHRPT1+CL6emwRfT22JjKir8cX0ddji+jrsTWREX1dvkSHgCYBRD8Euoh+CBAR/fAhRomI6OvhRvT12CL6emwRfV22iL4eX0Rfjy2ir8uW6BDQJoDoh0AY0Q8BIqIfPkREv1SZOoUh+nrYEX09toi+LltEX48voq/HFtHXZUt0CGgTQPRDIIzohwAR0Q8fIqJfqkwRfX3ciL4uY5bu6/FF9PXYIvp6bBF9XbZEh4A2AUQ/BMKIfggQEf3wISL6pcoU0dfHjejrMkb09fgi+npsEX09toi+LluiQ0CbAKIfAmFEPwSIiH74EBH9UmWK6OvjRvR1GSP6enwRfT22iL4eW0Rfly3RIaBNANEPgTCiHwJERD98iIh+qTJF9PVxI/q6jBF9Pb6Ivh5bRF+PLaKvy5boENAmgOiHQBjRDwEioh8+RES/VJki+vq4EX1dxoi+Hl9EX48toq/HFtHXZUt0CGgTQPRDIIzohwAR0Q8fIqJfqkwRfX3ciL4uY0Rfjy+ir8cW0ddjm66iP2L0BHllykyZM2lEMbiTps6VIfc/LYtnjdkFeqQ8YfSOU+6A3l1kUL/uvmWPemGyDLu5v3Tr3D6MIomRIgRSXvRvufdJmTx9flF3NW64r7wxZlix7uvaZ4gsX/mz/V4inyP64X8bKmZmSN0aWfL7+q3hByei7F4rS9ZvzpXcvAJohEyAx+uFDNQVDtHXY2siI/p6fBF9PbaIvh5bRL+46BunMMd9t14eU/Q7dBskPc7u6Cvm3swm7br1G4u97b6YYD6/YcAFRRLvF9tcDHhw1PhdLk7ojo7EosfDJrESyOUQSHnRNxLvFnvzd726NeWZhwbbDPpeP1zWrssuShPv5yYGoh/+FwrRD5+pOyKir8cX0ddji+jrsUX0ddki+np8EX09toh+cdH3CrebvHdGP4jMfrVkhfQceLd0Oa1dsYsH7gsKJu6MOZ8Vc5lIsY3DnNLhyEAXF3RHTfToQdiUZf1SqeyUF31vZ5kvzzdLVxV9YbxfWu8VsVifI/o6XwdEX4erExXR1+OL6OuxRfT12CL6umwRfT2+iL4e23QSfffqXtPuurVrFJsd95sxj5THTCJ+9PmSoo7xWy1sPvROLvr1pFfeo8X2XhRwLiTEWtLvXf08buQd0qJpI3Hed68uaHZin6ILE6Y8c8uAc3iZmfdNeucwtx4sXLwsEBvdUZ0+0dNO9I24N2m0nz2j73wBnAFtut39nvnbXGmL9Ln5EiD6Ol8WRF+HK6Kvy9VER/T1GCP6emxNZJbu6/FF9PXYIvp6bE3kejWzZFNOrv0a1nHXB3eFFSquOHeecKdveu/qXr/77U2aPevXKZp5j5UnyKy1keBYEm7SuD3ENCBSbMdhHDEPIvpG5ud+/FXRRQ1v290TpH4MnBXSTr0cx3L+bt+mRTFmJn0QNnF1LIkjEkgb0Xfuf3FfVQtL9HO256sNsZe/flG++WOx5O/Il+qVq0u/1pfJXtX3VisvWQJXyBCpXDFTtubqsU2WtpZFPbIqVbDuz98hBTt2lEXxKV2muUhl/pebz/4HYXe0dVqQrEqcF8Lm6sTjvKBFVqSi9R+1jAzOCxqEOS9oUP07ZlbFCpKXv0MqW/9uCOvIuMv0WukfO+70/zePV7j9RN94xOP3XWfPdJsjVp5YMuvnIH5ETDnezf+ixfZLH4203+0I3raZNM7h3aDQHdt9UcDZQNB7kcKkj8Wm9EdG6paYNqLvdKH7ClxYov/Xxu0qI6Tba51k9upZu8QefeZYOeeQ81XKTJag5gq9mRnNtjaM4wifQM1qlWTztjzJt/7jzREugSqVM61/0IvkbOMiVbhkRcx5oUa1irJhE+eFsNmaeDWs80KOdV4w/6jnCJdAlnVeyLQ8actWzgvhkhXJsM4LtazzwnrOC2GjtePtZp0Xtm7PkxpVK4UWP5lm9P1cwCv6RlqfHfdO0W2/QfIEkdmgM/qaou9eWu/uYPdKg2gXJbwbCToTqtGeUBCETWiDLc0DpZ3oewderHvwY31uxo/GZnwDpvWWKctel0oVKsspB3aWo/Y6Rhau+VTeXD7BHrL3HP+QXHr4gJQdvizd1+1a7tHX48vSfT22LN3XY2sis3Rfjy9L9/XYsnRfj62JrLF0X7fG8UePNTvvXbJuSoiVJ4jMBrlHvyRL94OQCHKxwbSlbu2a1pMBsovtW2Dedy/NZ0Y/CPHSTZPyom8GoXuZiflSmcPZiT8Zd92/9YNr5bmvnpS6VevJK13fkab1mxeNioc+HiYPWj/muK7NrXJjm9tKd8SUUmmIvi5oRF+PL6KvxxbR12OL6OuyRfT1+CL6emzTRfS9wm3+dkutn2zHyhNE4p3JR++u+2ZFwS9r/rTvbffbST9S7EQ24zMetGzFT8Vcybx33WXnF23It+bPv+y9zcz75nDuy/deJPA6lvdCgMlv8gZhozuq0yd6you+d0dMv50v3WkS+TzMGf0PVs+QiyZ3sUfgq+e8I+32PWGX0WguApiLAeYY0u4eufKI61NuxCL6ul2K6OvxRfT12CL6emwRfV22iL4eX0Rfj226iL5pp3sJe9sjmhbJr9/j7RzikfKYzx2JN79H2nXfL455z717vV/5kWJ7LwoE2YzPlOfddd8pP95d9007zeF+rLl31/1B/brHxUZ3dKd+9JQX/dLowjBFv/vrp8pHv86Tm9reLtcefUvE6t855yZ5+ovH7M9f6fa2HLffiaXR1FIrA9HXRY3o6/FF9PXYIvp6bE1klu7r8UX09dgi+npsTeR0WLofjaCZhW7drEmZPpveb8M8b539Hv+nOzKIXh4IIPoh9FJYor9wzSdy1qsnWLvq7yOfXrrM3rk72tHt9VPkk1/ny1F7HyNvnPt+CC1JnhCIvm5fIPp6fBF9PbaIvh5bRF+XLaKvxxfR12Ob7qLvfVydLunI0Z0ZfPMcejMj7j2c59nHelRfWdWfcsuOAKIfAvuwRP+eeUNk5MKHpV/LK+XuDv8NVLPjXmghKzd8L/8+/kHpe/jAQHnKQyJEX7eXEH09voi+HltEX48toq/LFtHX44vo67FNd9HXJUt0COgTQPRDYByW6Ld7vpmsyv5BJpz7rrTd+7hANZu87DUZOO0SqVG5psy75GupV6V+oBE+ArEAACAASURBVHzJngjR1+0hRF+PL6KvxxbR12OL6OuyRfT1+CL6emwRfV22RIeANgFEPwTCYYj+gl/myHkTOknDWgfJvN5fxVWrvm/1kGk/vCm9mvWT4R1HxJU3WRMj+ro9g+jr8UX09dgi+npsEX1dtoi+Hl9EX48toq/LlugQ0CaA6IdAOAzRv2329fLsl6PkqiNukFvb/TuuWn279hs5+eWj7DyvnTNVjt33+LjyJ2NiRF+3VxB9Pb6Ivh5bRF+PLaKvyxbR1+OL6OuxRfR12RIdAtoEEP0QCIch+q2faSS/b/lN3uoxR1rtcWTctRr+4V3yyKfDpc0+7WRi9xlx50+2DIi+bo8g+np8EX09toi+HltEX5ctoq/HF9HXY4vo67IlOgS0CSD6IRAuqejPXPWu9JrSVQ6td5i8d+GnCdVoh+yQ455vYd3jv0KGnfCw9GlxRUJxkiUToq/bE4i+Hl9EX48toq/HFtHXZYvo6/FF9PXYIvq6bIkOAW0CiH4IhEsq+jfNvFJeWjxGrm8zRG6wfhI9Ji17Ra6a1kdqZdWWeb2+ljpV6yYaqszzIfq6XYDo6/FF9PXYIvp6bBF9XbaIvh5fRF+PLaKvy5boENAmgOiHQLikon/Y0/vIhq3r5b2en8ih9ZuVqEaXvnW+TP/hLenf8iq5q8MDJYpVlpkRfV36iL4eX0Rfjy2ir8cW0ddli+jr8UX09dgi+rpsiQ4BbQKIfgiESyL683/6QM6fdLo0r99SpvVcUOLafPnHQjl9fOGj+T68ZInsX7NBiWOWRQBEX5c6oq/HF9HXY4vo67FF9HXZIvp6fBF9PbaIvi5bokNAmwCiHwLhkoj+Qx8Pkwetn8taXS1D2/8nhNqIXPNuP3n9u5fL9aw+oh/KUIgYBNHX44vo67FF9PXYIvq6bBF9Pb6Ivh5bRF+XLdEhoE0A0Q+BcElEv8ekM2TeT7Pk6TPGyemNuoRQGxFnVr9ihUryRd+VUrtKnVDilmYQRF+XNqKvxxfR12OL6OuxRfR12SL6enwRfT22iL4uW6JDQJsAoh8C4ZKIfoORtSQvP1e+7v+T1KkS3uZ5zr36g4+5U645anAIrSzdEIi+Lm9EX48voq/HFtHXY4vo67JF9PX4Ivp6bBF9XbZEh4A2AUQ/BMKJiv63a7+Rk18+ShrWOkjm9f4qhJr8HcJ5ZN+e1feWzy/9PtTYpREM0deljOjr8UX09dgi+npsEX1dtoi+Hl9EX48toq/LlugQ0CaA6IdAOFHRdx6HZ5bsm6X7YR9dXuson/32kQzv+Kj0atY37PCq8RB9VbyC6OvxRfT12CL6emwRfV22iL4eX0Rfjy2ir8uW6BDQJoDoh0A4UdG/f8GdMuKzB+S6NrfKjW1uC6EmxUO89u1L8s8Z/eWwei3k3Qs/Cj2+ZkBEX5OuIPqKeBF9PbiIvh5bRF+XLaKvxxfR12OL6OuyJToEtAkg+iEQTlT0//HmuTJj5TvyZOcX5czG54RQk11DHPdCC1m54Xt56vSX5YyDuqqUoREU0deg+ndMZvT1+CL6emwRfT22iL4uW0Rfjy+ir8cW0ddlS3QIaBNA9EMgnKjot33uUPlp42qZ3WuRHFT74BBqsmuIpxaNkKFzB0uH/U+ScV3fVClDIyiir0EV0delWhgd0dejjOjrsUX0ddki+np8EX09toi+LluiQ0CbAKIfAuFERH/91r+k2dP7StWK1WT5gD9DqIV/iG35W6Xl6IaycXu2TDj3XWm793FqZYUZGNEPk+ausZjR1+OL6OuxRfT12CL6umwRfT2+iL4e23QV/RGjJ8grU2bKnEkjisGdNHWuDLn/aVk8a8wu0CPlCaN3nHIH9O4ig/p19y171AuTZdjN/aVb5/aBi4zWnsBBSOg7RsybBzfaT5au+Ml3vJQWNkQ/BNKJiP6Cn+fIeRM7Seu9jpY3z/sghFpEDuHsBdCtSQ95rNOuJyfVwhMMjugnCC5gNkQ/IKgEkiH6CUALmAXRDwgqwWT1a2VJ9uZc2Z5XkGAEskUigOjrjQ1EX48tol9c9G+590kb9n23Xu4r2+6LAx26DZIeZ3f0FXNvZpN23fqNxd52X0wwn98w4IIiifeLbaT9wVHjd7k4EW10lKbox8NDd0TrRne301z8MRdgnL4sCwaIfgj9nYjoP/vlKLlt9vVyUbM+8kDHx0OoReQQv2z8SY5+rvDWgA8uXiiN6xyiWl4YwRH9MChGjoHo6/FF9PXYIvp6bE1kRF+PL6KvxxbR12OL6BcXfa9wu8l7Z/SDSN1XS1ZIz4F3S5fT2hW7eOC+oGDizpjzmbwxZlhRcZFid+0zRE7pcGSgiwsmGKIf/nen2Yl9ZNzIO6RF00a7BA8yJsKuEaIfAtFERH/wrEEy9uvRclf7B6R/q6tCqEX0EDfNvFJeWjxG+h4+UP59/IPq5ZW0AES/pASj50f09fgi+npsEX09toi+LltEX48voq/HNp1E30jy8pU/F8GsW7tGsdlxvxnzSHn6Xj9cPvp8SVGsxg33LSbqzgcmf726NeWZhwZH7ESvvEeL7b0o4FxIiLSk30/0zUWGydPnF9XHLa3ODLXzoZdRpM+D8jBxY5URrZ+8Iu29+BIrtpF0c3uEmYU3h9P2aEzcHWfyuw/D3bnVIx4GYX6jEf0QaCYi+l1fP0k+/fVDeaXb23LcfieGUIvoIb76Y5F0Ht9OKlaoKIv6rpQ6Veqql1mSAhD9ktCLnRfRj80o0RSIfqLkYudD9GMzKkkKZvRLQi96XkRfjy2ir8fWRK5XM0s25eTar6Edd90VWqi4At15p29yI2Fr12UXybjf/fYmzZ716xTNvMfKE2T21ohhrPvq/WaII8V2xN5ZKh6v6BuhnfvxV0UXOLwcTJvdFyVMPZpY96Gb9/wuGhgpv2dwP3t2OwiPWDHiZR5P/c3AMKy9Fy9iMfEOKHefetsThEFc4zlAYkQ/AKRYSRIR/UOe3FM2bd8oX/ZbLfWq1o9VRCif932rh0z74U25qe3tcu3Rt4QSUysIoq9FtjAuoq/HF9HXY4vo67E1kRF9Pb6Ivh5bRF+PrZroZ2ToVjpS9B07fD/xCref6BtJe/y+64qWZMfKE0vqHAmPtMzbqagpx7v5X7TYfukj4fATUfdeAI78RroYYST4m6Wr7AskTqxIaWPxMGXFihEv81gbJLrrH6mtfrdrRLtAg+iXzVdbtdR4Rd881948337v3faVT/ssU62bO/gHq2fIRZO7yB7V95KFl64otXITKQjRT4Ra8DyIfnBW8aZE9OMlFjw9oh+cVSIpEf1EqAXLg+gH45RIKkQ/EWrB86T6jL6fcHsF0Qjos+PeKZrxD5IniNgGndEvLdH3Lj13Rolb3r0bB7pvS/AucW97RNOiFQBeHg5DpwwnbaQYiTCPdMHGvfGhu/5+/RGEifvbhOgHP7eUm5Txiv47KyZL/7d7ykkNTpMXzp5Uqu10bhm4/8RHpHfz/qVadjyFIfrx0Io/LaIfP7OgORD9oKTiT4fox88snhyIfjy04kuL6MfHK57UiH48tOJPqyL68VdDNUesmWLvsn1TmVh5goh+kHv0S7J0PxY074x+rAsPpk3t27Qoun3BOyPuLs8Rc+eRgEF4eOvrjREvc78NEqPVP5Lox7q9AtGPNdLK+efxiv7DH98r//34HrnyiOtlSLt7SrX1E5aOk0HT+0rT+s1lRs+PS7XseApD9OOhFX9aRD9+ZkFzIPpBScWfDtGPn1k8ORD9eGjFlxbRj49XPKkR/XhoxZ82HUTfK9zm73Xrs4vuVfeT7Vh5gki8I9reXfeNoP6y5k9bqP120o8Uu6Sb8ZkLGsus577PmfT30wbMe9dddr59y4JXhE09zGGW7rvr7Iwyd/ogPOKN4e0nbxnm4oI5nPZEq7/fxRvzXiwm3m9UtBn9IAzi/4ZGz8E9+iEQjVf0L596sby1fKI8cupoOfeQC0OoQXwh2r9wuPywYbk8efpLcuZB3eLLXEqpEX1d0Ii+Hl9EX48toq/H1kRG9PX4Ivp6bBF9PbYmcjqIviN5DkmzjNwRXr/H27lF1i+Pec+RePN7pF33/eKY99wbwvmVHym296JAvJvxmbK9S+e9dXF2pHfaZV6N6HuX4pv3ndn8oDxixYjWT+Yzb35zAcW7uWCk+jux/WbvozHxfvuiiX48YyKsbzWiHwLJeEX/+LGt5Pv1S+XdCz+Sw+q1CKEG8YV4atGjMnTuv+zd/s2u/8l4IPq6vYLo6/FF9PXYIvp6bE1kRF+PL6KvxxbR12NrIqeL6EeiaGZ0WzdrEvjZ9Bq94bchnLccv8f/adQlmWLG2mwvmepaVnVB9EMgH4/o5+Rtkcaj6kuFjAqy6sps+7W0j+0F2+TwpxvIxu3Z8tb5s6XVnkeVdhVilofox0RUogSIfonwRc2M6OuxRfT12CL6umwRfT2+iL4e23QXfe/j6nRJR47uzAS7Z8jdqZ3nw8dzL3lZtSXMchH92DQR/diMYqaIR/S//GOhnD7+uDK/R/6ueTfLkwsfkYua9ZEHOj4es42lnQDR1yWO6OvxRfT12CL6emwRfV22iL4eX0Rfj226i74uWaJDQJ8Aoh8C43hEf8qy12XAtN5yeqMu8vQZ40IoPbEQy/76Vk588Qg788K+P8ge1fZMLJBSLkRfCezOsIi+Hl9EX48toq/HFtHXZYvo6/FF9PXYIvq6bIkOAW0CiH4IhOMR/RGfPSD3L7hTBrS+Vm4/7t4QSk88xOXvXCRvfT9Jrm8zRG6wfpLpQPR1ewPR1+OL6OuxRfT12CL6umwRfT2+iL4eW0Rfly3RIaBNANEPgXA8on/jzCvl5cVjZHjHEdKrWb8QSk88xJwf35eeb5xlz+abWf1kOhB93d5A9PX4Ivp6bBF9PbaIvi5bRF+PL6KvxxbR12VLdAhoE0D0QyAcj+ifN6GTLPhljozr+qZ02P+kEEovWYiur58kn/76oXXh4VHrwkPfkgULMTeiHyJMn1CIvh5fRF+PLaKvxxbR12WL6OvxRfT12CL6umyJDgFtAikv+uaxGB99vqSIo/dZlt5nIzoJF88aU5THPJdy+cqf7b/9noUZj+i3ff5Q+Sl7tbx+znQ5Zt/22v0bM/5r370k/3y3vzSv31Km9VwQM31pJUD0dUkj+np8EX09toi+HltEX5ctoq/HF9HXY4vo67IlOgS0CaS86JtnT86ZNKKIo/m7fZsWct+tl9vvGdH/ZukqeWPMMF/W5kLB2nXZRZ8b6a9Xt6Y889DgovTxiH6Dx2tKXkGerBy4XiplVtbu30Dxj33hMFm9YaWMOes1ObXhGYHyaCdC9HUJI/p6fBF9PbaIvh5bRF+XLaKvxxfR12OL6OuyJToEtAmkvOh7AXrFPpbomwsDNwy4QLp1Lpx9N8+yfHDU+GIXD4KK/u9b1kjrZw6U+lV3ly/6rdLu28DxH//8IRk2/zY5qUEneeHsiYHzaSZE9DXpiiD6enwRfT22iL4eW0Rfly2ir8cX0ddji+jrsiU6BLQJpJ3omxn5ww5uUGxGf/L0+UWc69auUSTxXy1ZIT0H3i3jRt4hLZo2stP4vRdU9L/8Y6GcPv44aVb/cJne80Ptvg0cf+O2bGn5TEPZlr9V3u4xV1ruUfjYvbI8EH1d+oi+Hl9EX48toq/HFtHXZYvo6/FF9PXYIvq6bIkOAW0CaSX6zv347vvvvYDNhQBzmKX8QUV/bfa2QP00bcVbcvEb58qpB54uL3dLjplzp+JDZt0oTyy0NuRr3kf+d+qoQO3RTGT+QV+jWiVZv2m7ZjFpG7tW9cqyeWue5OUXpC0DrYZXzcqUDOt/W7blaRWRtnErZGRIrd0qyV8bOS9oDALOCxpUC2NWqZwp5r9r5rzLES6BDOu8UMc6L6zjvBAu2J3RalarLDnb86Sm9W8yDghAoHwRSBvRHzF6gox6YXKx2Xm/rjJL84fc/7SYiwFBRX9bbjBZeurzJ2TQ1Culb6v+8vgZTyTVSPlu7bfS8olmdp1WDFot+9TYt0zrZ/1329rDoIJszwvGtkwrWw4Lr1wxQ3Lzd8iOHeWw8kleZfOPeTN+8yy+HOES4LwQLk9vtErWeSHfGrcFDN3QQXNeCB1pUUDOC3psTWTnvFCpYgXdgogOAQiETiAtRD/ITL5D1i365r0w79F/4KN/y/8+uU9uaDNErrd+ku0YMK23TFn2ulx79C1yU9vby7R6LN3Xxc/SfT2+LN3XY8vSfT22JnL9WlmSvTmXC6wKmFm6rwB1Z0iW7uuxNZHr1cySTTm59isHBCBQvgikvOi7l+L7dY3frvxNGu1XtKt+mLvu3/D+QBn3zXPyQMfH5aJmfZJupMz/+QM5f+LpUq9Kffmi/yp7+XFZHYi+LnlEX48voq/HFtHXY4vo67JF9PX4Ivp6bBF9XbZEh4A2gZQWfWfpvR/EYTf3t3fSNxcClq/8uShJ2yOaFnt0nvnAnaZxw313eRRf0M34Lp7cRWatnmHvbG92uE/Go/vrp8pHv86T+078P7mk+WVlVkVEXxc9oq/HF9HXY4vo67FF9HXZIvp6fBF9PbaIvi5bokNAm0BKi742PCd+UNE/+eWj5du1i+XdCz+Sw+q1KK3qxVXOhO/GyaB3+0rT+s1lRs+P48obZmJEP0yau8ZC9PX4Ivp6bBF9PbaIvi5bRF+PL6KvxxbR12VLdAhoE0D0QyAcVPSbPb2vrN/6l3zZb7XUq1o/hJJ1QrR7vrmsyl4ho88YL50bna1TSIyoiL4udkRfjy+ir8cW0ddjG0j08/MlI9/aNT4vTzLy8u1Xsf7OMK9mZ0/vjwlq7/i5Q6x/bBRWPlIa5307TWE6O0/RjqGu+BHiFKUvFsuTzwTf+blvnXaJvZO5k8euXNB2FJZlysmqVMHadV9kS85OVk49vLF2/l2sLb5pdoJyOEWIU4y3K02xtruYRGtbsf5w96MzLL3vufvQr//ddXbx2KXtMYa92XW/qvVUA550onN+ME+MyLU2Rq4y8lGdAogKAQioEUD0Q0AbRPRz8rZI41H1pXKFLPnhyr9CKFUvxKiF/5N/z7tVOjY4Vcae/YZeQVEiI/q62BF9Pb6Ivh7bZBb9jO3WI/+2bZWMrdZPTo5kOL9bf0tebqEMG0G2ZLlQkC1p3inKheLseq/ob0eq3ekL8zvC7Y7pxHPK+judlaeYpDt1Ma9/x6tQkC87cnML62eXYT31xCvzet1LZAhAIJkJ8JieZO4d6gYBXwKIfggDI4jor9zwvRz3QgtpUPNAmX/J4hBK1QuxOXeTtBzdUMzFibfOny2t9jxKr7AIkRF9XeSIvh5fRF+PbSDRN0K71RLtrdsKX41w5xgBzykUcfO7LeEmzU4x3/m7uP/eZuU3wu6KUSjy1nvFYhSWY0Q65Y/MTNmRWVGkYkXZUTHTfhXr7x3mtcLOR2+ZZ505PwaI+d3a2HWH/brzb780Re/tpGj9bedx8pnNYaPls7IVpfeWHyGOb512qePf9THlW/Pzf9cpajv+bq8pp6I1nW9mnnPNswt3Milqm0+cYm3x1sn+e+f/OZyCsHWlicg2Spxiebx19q2jqw9j9b+L6y5tj/HFMqFrVK0o2VusC1QcoRMwt51sy82X6v+6PvTYBIQABHQJIPoh8A0i+gt+mSPnTegkbfZpJxO7zwihVN0Qd827WZ5c+Ihc0PQSeejkUbqF+URH9HWRI/p6fBH94GwzcrZIhexsydiwXips2CAZ1u8Vsp3fNxS+Zz7bvHmncG+TyrnbJHeT+XunpNvyXijttoibmfUyOHZUqiRSparsyMqSHVWtV9fvUrFSoQwbQbZkuVCQLWneKcqF4ux6r+hvR6oLPyvKY8cp/Mwd04nnlFX4mclrSbgrz991MfkL62PS1a1TTTZa+LaLk77wtUjmi6S7DACX8yK5R1+vA7lHX4+ticzj9XT5Eh0CmgQQ/RDoBhH9iUvHy9XTL5UuTc6TkZ2eD6FU3RA/bFgu7V843C7kkz5LZZ/d9tMt0BMd0dfFjejr8U0n0c/YtNGW8UJJt16tH1vMjbBbrxnmM/Oe/dnfQl+YzvrZvi38jrBmlm3JrlrFkm7rx/xexZJv69UW8Z2/258ZIXeJuTi/2/mczwtjiJPPvG//mFg7f7fS20Jczo/6tbIke3OubLfux+UIlwCiHy5PdzREX48toq/LlugQ0CaA6IdAOIjoO/e9X9ZqkAxtPzyEUvVDXDWtj0xa9opcc9S/ZPAxQ/ULdJWA6OviRvT1+JY30a/w+xrJtH6Kibkt75aobzTC7gj8zvdcs+4lXa5uy3LNmlJQq7b1U+vv32ua32sVvmc+2203EUumM6pVlZr1a8q67ZbMO5K+U7gLJd4S78qV9To3xSMj+nodjOjrsUX09dgi+rpsiQ4BbQKIfgiEg4j+0Ln/kqcWPSp3tL9Prmj1zxBK1Q+x4GfrdoOJnaR2lTryRd9VUrFC6c1YIfq6/Yvo6/FNCtEvKJDMNb9JBeun6PW3X4v+dn9WElnfUX23nTJuSbkRcyPoRswtebdfLVG333OkfeerEXsj+GZWPZ4j0D368QQkbTECiL7egED09dgi+npsEX1dtkSHgDYBRD8EwkFEf8C03jJl2evyeKfnpGuT80MotXRCmH0FzP4C9xz/kFx6+IDSKdQqBdHXRY3o6/HVFP0Ma0f0YvJeJPOWxP/mknrr/aBHQb36kr/XXpaY1/lbzI2gGxmvYWbbd/6+c+Z9h/m7RuFse2kvV0f0g/ZqYukQ/cS4BcmF6AehlFgaRD8xbkFzcY9+UFKkg0DyEUD0Q+iTIKLf7fWT5ZNfF8jr3afLMfu0D6HU0gnxxrJX5cpp/5BD6x0m7134aekUiuirc0b09RAnIvpmF3ivqP896+6S+D//CFzxgj32lPw997J/Cvbau/DV/G397nxm3rc3kSsnB6Kv21GIvh5fRF+PLaKvx9ZERvR1+RIdApoEEP0Q6AYR/WNfOExWb1hpPVrva+sRe41CKLX0QnQY21JWrF8mT53+spxxUNdSKZgZfV3MiL4e30iiX2HdOqn4w/eSuWK59bpCKq7Y+fvKFWI+C3RYO68XCbsj8Y68u/+2fi963FmgwOUjEaKv20+Ivh5fRF+PLaKvxxbR12VLdAhoE0D0QyAcRPQbjqwtufnb5fsBa6VKRWsH53J0PLVohAydO1iO3/9kebnrlFKpOaKvixnR1+FrNq6r8fMPlsx/L7lLvrOFPtOS+4qW3FdYuzZioWYDOXu23Zl1d7/unI23P7Nm6dP5QPR1ex/R1+OL6OuxRfT12CL6umyJDgFtAoh+CIRjif6fOX9Iy9ENpE6VuvJ1/59CKLF0Q2zNz7Hq31A2bd8ok8+bKUfu1Va9Aoi+LmJEP3G+Zid6e0b+ezMzb83K27Pz1u+W3Ff44/fIMr9bDclrdNDOn8aSf2AjyTvQ+vugxlKw+x6JVyiNciL6up2N6OvxRfT12CL6emwRfV22RIeANgFEPwTCsUT/6z++kE7jj5Wm9ZvLjJ4fh1Bi6Ye4Z94QGbnwYTnv0Ivl/055Sr0CiL4uYkQ/Ot+MLZttcbeX19sz8n//nmntXh/p2FGtuhQcdJDsaNxEth5wYJHY5zeyxN4sp+coEQFEv0T4YmZG9GMiSjgBop8wupgZEf2YiEqUgHv0S4SPzBAoUwKIfgj4Y4n+e6umyiVTustJDU+TF86aFEKJpR9i1YYV0u6F5nbBH16yRPav2UC1Eoi+Kl5B9P/mm/nrL1Lp6y+l0peLpNJXX9g/matWRpZ565FweZbM55vZeEvgzSx9vpmpt/7O32dfSWQzPt3eTp3oiL5uXyL6enwRfT22iL4eWxMZ0dflS3QIaBJA9EOgG0v0xy5+RgbPvFouPKyP/Pekx0MosWxCDJreVyYsHSdXHXGD3Nru36qVQPRV8aat6GeuXlUk87bYW4Kf+cvPu8A298w78m4LvLW8Ps8stTcz8/vtH7VzEH29sYvo67E1kRF9Pb6Ivh5bRF+PLaKvy5boENAmgOiHQDiW6D/48TB5yPq5rs2tcmOb20IosWxCfPzLfDlnwilSM6uWfNF3pVTOzFKrCKKvhtYOnA4z+hW/X2bN0hfO0Ds/FXweT1dQ29oos0Ur66el5B5u/ViveYc0TbgDEP2E0cXMiOjHRFSiBIh+ifBFzYzo67FF9PXYIvq6bIkOAW0CiH4IhGOJ/k0zr5SXFo+R4R1HSK9m/UIosexC9Jh0hsz7aZbc3eG/0q/llWoVQfTV0Kak6Fdc8o0l8zuX3hu5//oLMTvge4+C+rvvlPm/xd7M0od5IPph0iweC9HXY2siI/p6fBF9PbaIvh5bRF+XLdEhoE0A0Q+BcCzR7z3lHHl/1TR57qzX5ZSGp4dQYtmFeHP5BLliai9pUudQmXXx52oVQfTV0JZ70c/8cbVUXjBXKn/2yc6Z+i8lI2fLLsDM/fKFs/Q7pd76PX//A3TBWtERfT3EiL4eW0Rfly2ir8cX0ddji+jrsiU6BLQJIPohEI4l+qe+3Fa+WfuVTL1gvrTYvVUIJZZtiBNfOkKWrftWnug8Vs5q3F2lMoi+CtaioOVp6b4j9llG7ufPsx5rt2xXqW9wYNGye0fsy2qXe0Rfb+wi+npsEX1dtoi+Hl9EX48toq/LlugQ0CaA6IdAOJboHz76AFmb86cs6rdSdq9a/p+X/fSix+TOuTfJcfudKK90ezsEgruGQPRVsJYL0Y8l9uae+u3HtpftbY8tnLG37q8vqFtXF1gc0RH9OGDFmRTRjxNYnMlZuh8nsDiSI/pxwIozKaIfJ7A4k7PrfpzASA6BJCKA6IfQGdFEf1v+Vmk0sq5UrFBJVl256z3DIRRf6iG252+Tw0c3kI3bs2Vi9xnSZp92odcB0Q8dabGAyTSjH0jshngLrQAAIABJREFUjzlOtrdrL9sswc9tfaQunBJGR/RLCDBKdkRfj62JjOjr8UX09dgi+npsTWREX5cv0SGgSQDRD4FuNNFflf2DtHu+mf3cefP8+VQ57p1/uzz2+YNy7iEXyiOnjg69WYh+6EiTRvRjin2tWoUz9uVE7L09hejrjV1EX48toq/LFtHX44vo67FF9HXZEh0C2gQQ/RAIRxP9j36ZJ90nnCpH7X2MvHHu+yGUlhwhfsxeJcc8X/gIsvm9v5YGtRqFWjFEP1ScuwQr7Rn9rBnTpcrUNyVr7mypuHxpsfoUlHOxR/R1x6o7OqKvy5oZfT2+iL4eW0Rfjy2ir8uW6BDQJoDoh0A4muhPXvaaDJx2ib1pndm8LpWOf864TF779kUZ2Po6ue24YaE2DdEPFWepi35Gbq5kTXvbkvu3bMGvsH59UR1STewRfd2xiuiXHl9EX481oq/HFtHXY4vo67IlOgS0CSD6IRCOJvpPLnxE7pp3s/RveZXc1eGBEEpLnhCf/faRdHmto+xWqYZ80X+lVMmsGlrlEP3QUPoG0pjRz9iYvVPsjdy/LRnbthaVbTbN29r5TNl62ulJf499ScmzdL+kBCPnZ0Zfj62JjOjr8UX09dgi+npsEX1dtkSHgDYBRD8EwtFE/+65t8gTi/7PnvE2M9+pdlw4+WyZvfo9Gdp+uFzWalBozUP0Q0OpKvoVfl8jVczM/TtvSpXp7xQra3ubYwrl3vrJO/hQ3QYlUXREX68zEH09toi+LltEX48voq/HFtHXZUt0CGgTQPRDIBxN9P/5bn957buX5H+nPCnnH9orhNKSK8RbyyfJ5VMvkka1m8icXl+EVjlEPzSUoYt+5ipr9Ya9JP8tyZozq1j8bSecJFs7nWHLff4BDXQbkaTREX29jkH09dgi+rpsEX09voi+HltEX5ct0SGgTQDRD4FwNNHvPaWbvL9qujx/9gQ5uUHnEEpLvhAnvXSkfLduiTze6Tnp2uT8UCqI6IeCMWKQeJfuV/x2iTVzXyj3lT/5qFjcQrE/S7aefqYU1N9dt+LlIDqir9dJiL4eW0Rfly2ir8cX0ddji+jrsiU6BLQJIPohEI4m+me+0kEW/f6ZvHn+B9J6z6NDKC35Qjz75Si5bfb1cuy+x8tr50wNpYKIfigYSyT6FVcsl6qvvGwvy6+0+KuiWDuqVLWl3l6Wb0n+jt1q6Fa2nEVH9PU6DNHXY4vo67JF9PX4Ivp6bBF9XbZEh4A2AUQ/BMLRRL/d881kVfYPMv8S6xF0NcN9BF0IVQ8lRF5BnrR8poGs3/qXJfrTLOHvUOK4iH6JEUYNEG1Gv+rEV6Xq+JekyoxpRTEK6tYtnLXfuSxfMjN1K1iOoyP6ep2H6OuxRfR12SL6enwRfT22iL4uW6JDQJsAoh8C4Wiif+iTe8nG7dny7eW/SY3KNUMoLTlDDP9wqDzy6X+kW5Me8linMSWuJKJfYoRxib6ZsTdyX+2Vl6TCn38U5s3IkC0XXCw53XvItpNO0a1QCkVH9PU6E9HXY4vo67JF9PX4Ivp6bBF9XbZEh4A2AUQ/BMKRRN/MdDd4vKZkZmTK6qs2hlBS8ob4ZdNPcvSYg+0Kzu39pRxYq3GJKovolwhfzMz2jP5fm6XSS2MtuX9ZKs+fU5Qnt/WRsqXHRZJj/Zhn3nPERwDRj49XPKkR/XhoxZ+Wx+vFzyxoDkQ/KKn40yH68TOLJ0e9mlmyKSdXzCsHBCBQvggg+iH0VyTRX5ezVlqM3l/qVq0nX/X7MYSSkjvEde9dIa8seUEub32N3Hnc/SWqLKJfInxRM5vN9OpOGi8ZY8dKxuZNdtod1Xez5P5CW+63H91Wr/A0iIzo63Uyoq/H1kRG9PX4Ivp6bBF9PbYmMqKvy5foENAkgOiHQDeS6P+wfrm0H3u4NKx1kMzr/fdmZiEUmZQhFv72iZz12glSrVJ1WdT3B6leabeE64noJ4zON2OFDRusjfUKl+ZXWvhZUZrt7ToUCf6OypXDLTRNoyH6eh2P6OuxRfR12SL6enwRfT22iL4uW6JDQJsAoh8C4Uiiv2jNZ3Lmqx2k5R5HyNs95oZQUvKHuHhyF5m1eobcfty9MqD1tQlXGNFPGF2xjFmzZ9o751cb/6I1bb/D/sx+BF7v3rLh3J6Sc2jzcAoiShEBRF9vMCD6emwRfV22iL4eX0Rfjy2ir8uW6BDQJoDoh0A4kujPXv2eXDj5bOmw/0kyruubIZSU/CGmrpgi/d6+QPatsb98/I/vEq4wop8wOjujed599ScfFyP6zrH1lE6Sc4F17/0550u0XfdLVjK5EX29MYDo67FF9HXZIvp6fBF9PbaIvi5bokNAm0DKi37f64fLR58vKeLYuOG+8saYYcW4du0zRJav/Nl+L5HPI4n+m8snyBVTe8mZjc+RJztbM6ppcpz16gmycM0nct+J/yeXNL8soVYj+glhE/NoPCP45j58c5jH4m3ue4V17/2Fktfo7w0SEf3E+AbJhegHoZRYGkQ/MW5Bc3GPflBS8adD9ONnFjQHoh+UVGLpuEc/MW7kgkAyEEh50e/QbZDMmTSiiLX5u32bFnLfrZfb75kLAWvXZRfJv5H+enVryjMPDQ70uUkUSfRf/OZZ+df7V8lFzfrIAx0fT4b+LpU6TFw6Xq6efqk0rnOIfHDxwoTKRPTjw1btxedswTePyTNH/j77yubLr7R/dlTedadcRD8+vvGkRvTjoRVfWkQ/Pl7xpkb04yUWPD2iH5xVvCkR/XiJxZce0Y+PF6khkEwEUl70vbBvufdJ+WbpqiKxN+J/w4ALpFvn9nbSSVPnyoOjxhddHIj1eTTRH7nwYbln3hD7XnVzz3o6HSePO1q+/XOxDD9xhPRq3i/upiP6wZBVf3qULfgVVyy3M+Qd1KRQ8PtdETUAoh+MbyKpEP1EqAXLg+gH45RoKkQ/UXKx8yH6sRklmgLRT5RcsHyIfjBOpIJAMhJIO9E3M/aHHdzAntH/askK6Tnwbhk38g5p0bSR3T/u98zf0T538kSa0R/+4VB55NP/yOBj7pRrjipcIZAux+vfvSzXvNtPGtRqJPN7fx13sxH9yMgytm+z5d78ZP5SeMtJbvPDbcHfctElgVgj+oEwJZQI0U8IW6BMiH4gTAknQvQTRhczI6IfE1HCCRD9hNEFyojoB8JEIggkJYG0En0zmz95+nxZPGuM3RlhiX5efuFu5t5j0NSrZdSnj8sjnUfIwKOuSsoBoFmpds8cI5/88rE8eOpDck3b+Hfgz8zMkPwIbDXrnbSx//pLKox4RCo8at2Ksm6dXc0dx7aTgkGDZEePC+KqthGmAmsX/p0b8ceVl8TRCVhoRayfggJIaRAwFwEjnXM1ykunmJwX9Hqb84IeWxOZ84IeX+e8YF45IACB8kUgbUR/xOgJMuqFyRFn70syo//7+q2+vT5wah+Z8N14ebzzs3LuIT3L18gIobZvLp8k/d66UPastpcs7L9cMjMyA0c1/9GuVa2yrN24LXCeVE1Y4ddfpNoTj0nVUY9LxrbCsbb9hI6SM+Aq2db5zISaXbdGZcnekmcJEzaaEMAomapVqSgVLNPftDU37NBpH8/8Q7P2btZ5IZvzgsZgqGOdFzZZ54Vczguh462aVVEqWuN3Yw7nhbDhmhn9utZ54U/OC2GjteOZc+6WrXn2KwcEIFC+CKSF6Htn8t1dFOse/Fifm1iRlu73nnKOvL9qmjx/9gQ5uUHn8jUyQqrteRM6yYJf5sjNx94lg468KXBUlu6LVLBm7Wv89157ib5zbO10hmy+whL84zsGZumXkKX7JcIXNTNL9/XYsnRfj62JzNJ9Pb4s3ddjy9J9PbYmMkv3dfkSHQKaBFJe9M09+ebwPlLPgaq5637X10+ST3/9UCad+54cvfexmv2YtLHNhQ5zwaNmVi355B9LZbfKNQLVNd1Ff7fH/mdJ/v2SsTHb5pVzznnWPfhXyfaj2wbiFysRoh+LUOKfI/qJs4uVE9GPRahknyP6JeMXLTeir8cW0ddji+jrsiU6BLQJpLToO/fg+0EcdnP/op32zcWA5SsLNzVr3HDfXS4KxPo80ox+x5eOlKXrlsj7F30mh9Rtqt2XSRu/95Ru1sqG6XLt0bfITW1vD1TPdBX9qhNftQW/4ndLbE5bTz9LNt54i+S2bB2IW9BEiH5QUvGnQ/TjZxY0B6IflFRi6RD9xLgFyYXoB6GUWBpEPzFuQXMxox+UFOkgkHwEUlr0Swt3JNE/4tmDZM3mX+WzS5fLXtX3Ka3qJF05C36eLedN7CyVM7Pkkz5LpX7V3WPWMd1Ev/JHC6TGg/dJ1vszbDa5h7eSjTfdaou+xoHoa1AtjIno67FF9PXYmsiIvh5fRF+PLaKvx9ZERvR1+RIdApoEEP0Q6EYS/caj6ktO3hZZdsUfUq1S9RBKKr8hLnvnQnn7+zfkilb/lDva3xezIeki+pk//WjN4N8n1caOsZkU1N/dnsHf3H9ATEYlSYDol4Re9LyIvh5bRF+PLaKvyxbR1+OL6OuxRfR12RIdAtoEEP0QCPuJfm7+dmk4sra1y24lWXXlhhBKKd8hFq75RM569QS7ER/941vZr8YBURuU8qJvPXvNCH6NB+8X6xmCNotN19xgSf7NsqOa/kUhRF/v+4To67FF9PXYIvq6bBF9Pb6Ivh5bRF+XLdEhoE0A0Q+BsJ/o/5nzh7Qc3UDqVakvX/ZfHUIp5T/EoOl9ZcLScfKPFpfLvSf8L21F38zeG8HP/LFwXOSce4Et+HlNDim1Tkb09VAj+npsEX09toi+LltEX48voq/HFtHXZUt0CGgTQPRDIOwn+ivWL5MOY1vKgbUay9zeX4ZQSvkPseTPr+WUcW3shsy66HNpUvfQiI1KxRn9rJkzbMGv/OF8u93bj21vC/62E04q9c5F9PWQI/p6bBF9PbaIvi5bRF+PL6KvxxbR12VLdAhoE0D0QyDsJ/qL1nwqZ756vLTa40h5q8ecEEpJjRD/ev8qefGbZ+WCwy6Rh04alRaibx6RV+vOW6Xa88/Y7c1v0FA23nCzbLnokjLrVERfDz2ir8cW0ddji+jrskX09fgi+npsEX1dtkSHgDYBRD8Ewn6i/8HqGXLR5C5y/P4ny8tdp4RQSmqEWLnheznuhRZ2Y6ZeMF9a7N7Kt2GpMqNf9fXxUnPoEMn89Re7nRtvvt3ebK+sD0RfrwcQfT22iL4eW0Rfly2ir8cX0ddji+jrsiU6BLQJIPohEPYT/SnLXpcB03rLWY27yxOdx4ZQSuqEuGPOjTL6i8elS5PzZGSn51NS9DN/+dkW/KoTXrHbt+2kUyT7znslt1nzpOhIRF+vGxB9PbaIvh5bRF+XLaKvxxfR12OL6OuyJToEtAkg+iEQ9hP9sYufkcEzr5ZezfrK8I6PhlBK6oT4bfMvctSzTWSH9b9J574nR+997C6NK88z+tXHPG1LfsamjbKjSlXJHjpM/XF58Y4ORD9eYsHTI/rBWcWbEtGPl1h86evXypLszbmyPa8gvoykjkkA0Y+JKOEEiH7C6AJlrFczSzbl5Ip55YAABMoXAUQ/hP7yE/3HPntQ7l1wu1x5xPUypN09IZSSWiHunX+7PPb5g3LagWfKs2e+mhKiX3Hpt1LTuhe/yrtT7fbkdO1uzeIPk/wDGiRd5yH6el2C6OuxRfT12JrIiL4eX0Rfjy2ir8fWREb0dfkSHQKaBEIV/VvufVImTy/cUdx7dDmtndx36+WabSmz2H6if9+CO+TRz/4rNx97lww68qYyq1uyFrx+619y9HMHy5bczfJylyly/AEnF6tqeZvR3+3Rh+1ZfHMU1N/dnsXf0rNXsuIXRF+vaxB9PbaIvh5bRF+XLaKvxxfR12OL6OuyJToEtAmEIvp9rx8uH32+xK7r4lljfOvc7MQ+9vttj2gqzzw0WLtdpRrfT/RvnnWNvPD103Lfif8nlzS/rFTrU14Ke/jje+W/H99jS76RffdRXkS/8mef2IJfecFcu/pbLv6HJfn3SkGdOkndDYi+Xvcg+npsEX09toi+LltEX48voq/HFtHXZUt0CGgTKLHoG4GvW7uGzJk0IlBdO3QbJOvWb4x4QSBQkCRL5Cf6V077h7yx7FV5rNMY6dakR5LVODmqszUvx57VX5ez1l6+b5bxO0d5EP3d/veA1LznTrvKeQceZM/ibz2zS3LAjVELRF+vmxB9PbaIvh5bRF+XLaKvxxfR12OL6OuyJToEtAmUWPTNbH68M/SJ5NEGUZL4fqLfa0pXmbnqXXnh7ElyUoPTShI+pfOOXPiw3DNviLTa8yh56/zZ5UL0M3/+SWr961qpMu1tu76bB1xt34u/o1KlctNXiL5eVyH6emwRfT22iL4uW0Rfjy+ir8cW0ddlS3QIaBMosehrV7A8xPcT/bNfO1E+/+1jmXzeTDlyr7bloRllVsfjx7aS79cvLXabQ7LO6Fed9LrUGnytVFi7Vgr22FPW/+d/svWsrmXGLtGCEf1EycXOh+jHZpRoCkQ/UXLB8rEZXzBOiaRC9BOhFiwPoh+MU6Kp2IwvUXLkg0DZEwhV9M0y/mE395dundsXa9mI0RPklSkzAy/vL3ss8dXAT/RPfOkIWbbuW5l18efSpM6h8QVMs9QTlo6TQdP7yh7V95IPL/lGsjKrSDKKfq0hN0n1Jx6ze8fIvZF8I/vl8UD09XoN0ddji+jrsTWREX09voi+HltEX4+tiYzo6/IlOgQ0CZSK6E+aOleG3P90St2X7+4UP9Fv/Wwj+X3zb7Kw7wrZo9pemn2YErF7vnGWzPnxffsJBeZJBckk+pUWfW4v1a/8+ac26+y77pVNV11brrkj+nrdh+jrsUX09dgi+rpsEX09voi+HltEX5ct0SGgTaBURN88dm/ux1+l1Yz+QaPqidlsbvmAP6VqxWra/Vju43/4y1w5d0LhXgZTL5gvrfdqLXVrZMnv67eWaduqPzVSat1yg12H3GYtZMMD/yfb2xxTpnUKo3BEPwyK/jEQfT22iL4eW0Rfly2ir8cX0ddji+jrsiU6BLQJlFj0ndn6WBX1W9IfK095+dw7o78tf6s0GllXKlfIkh+u/Ku8NKPM63nb7Ovl2S9HyYkHnCLjz5lSpqJfITtbat0wSKpOfNXmsvnSy2SDtVRfMjLKnFMYFUD0w6CI6OtR9I+M6OsSZ+m+Hl9EX48toq/HFtHXZUt0CGgTKLHouysY6R597UaUdXyv6P++ZY20fuZA2b3qHrKo38qyrl65KX/T9o3SYWxL+X3Lb/Lfkx6Vf7a7skxm9Ct9sVDqXNlfKn63RHbsVsO6F/9hyelxUbnhGKSiiH4QSomlYUY/MW5BciH6QSglngbRT5xdrJyIfixCiX+O6CfOLkhO7tEPQok0EEhOAqGKfnI2Ub9WXtFf/td3csKLreWg2gfL7F6L9CuQQiW8+u1YuXbG5VKnSl1ZctV3kr+teqm2zuyqX9uS/Izt22T7McfJ+kefkLyGjUq1DqVRGKKvRxnR12OL6OuxNZERfT2+iL4eW0Rfj62JjOjr8iU6BDQJIPoh0PWKvnmsnnm8Xus9j5Y3z/8ghBLSK0SfN8+Td1e+Lf2PuFzuamctly+lY7eH/yM1hw21S9ty0SWy/pFRpVRy6ReD6OsxR/T12CL6emwRfV22iL4eX0Rfjy2ir8uW6BDQJlBi0e97/XB55qHBcdUzkTxxFVDKib2iP3PVu9JrSlf7XvMXu0wu5dqU/+K+XfuNnPzyUXZDXjx7spzY4BT1RtW+ZoBUe+l5u5yNt94pG6+Pb0yrVzDkAhD9kIG6wiH6emwRfT22iL4uW0Rfjy+ir8cW0ddlS3QIaBMoseib+/Lr1q4ReEf9Dt0Gybr1G1PqUXte0X9j2aty5bR/SJcm58nIToXyyBEfgf/79D75z4f/lha7t7J34dc6Mn9cbd+PX3nBXNlRubKsf+xpyTnnPK3ikiYuoq/XFYi+HltEX48toq/LFtHX44vo67FF9HXZEh0C2gRKLPqmgmaG/qPPl9h1XTxrjG+dzQUBc7Q9omncKwC0IZQ0vlf0X/j6abl51jXSq1k/Gd5xREnDp2X+ipkZcsrLbeWr37+UwccMlWuO+lfoHLJmz7Tvx8/87VfJO6Sp/PX405LbsnXo5SRjQERfr1cQfT22iL4eW0Rfly2ir8cX0ddji+jrsiU6BLQJhCL6TiVHjJ4go17wX6o+oHcXGdSvu3Z7yiS+V/Qf/ey/ct+CO+SqI26QW9v9u0zqVN4LNaL/4W8zpOv4s+2mfHDxQmlc55DQmlX9udH24/PMsbXzmfZMfkGtWqHFT/ZAiL5eDyH6emwRfT22iL4uW0Rfjy+ir8cW0ddlS3QIaBMIVfS1K5us8b2if+/82+Wxzx+UW469W64+8sZkrXZS18uIft0aWdJ7wqUy7pvn5PRGXeTpM8aFUueaQ4fIbo8+bMfaNHCQZP97eChxy1MQRF+vtxB9PbaIvh5bRF+XLaKvxxfR12OL6OuyJToEtAkg+iEQ9or+4JmDZOzi0XL/iY9I7+b9Qygh/UI4or/419XSYezhsnFbtow47RnpfnDPhGFkbN5k349f5a3CVScb/vM/2dz38oTjleeMiL5e7yH6emwRfT22iL4uW0Rfjy+ir8cW0ddlS3QIaBMIRfSdJft+y/OjfabduNKK7xX9gdMukcnLXpPHOz0nXZucX1rVSKlyHNH/ff1Wee6rJ+XWD66VfWvsL7MvXiRVKlaNu62Vvv5Sal/VXyot/loKdt/Dvh9/W0f93fzjrmgpZUD09UAj+npsEX09toi+LltEX48voq/HFtHXZUt0CGgTCEX0u/YZIvXq1oy4yZ7ZrG/tumx5Y8ww7faUSXyv6F88uYvMWj1Dxp79hnRscGqZ1Km8F+oWfdOWC944U+b+OFMua3W1DG3/n7iaV2XKJHsmPyNni2xvc4ystyQ/r2GjuGKkWmJEX69HEX09toi+HltEX5ctoq/HF9HXY4vo67IlOgS0CYQi+mZH/WE395dundv71nfS1Lky5P6nU+qReu6GekX/rFdPkIVrPpEp582SI/Zqo92HKRnfK/qL1nwqZ756vN3Wid1nSJt92gVq926P/5/UvOMWO+2WCy62Nt17KlC+VE+E6Ov1MKKvxxbR12OL6OuyRfT1+CL6emwRfV22RIeANgFEPwTCXtE/fmwr+X790tB3ig+hquUmhFf0TcWHzb9NHv/8IWm7z3Eyofu7MdtSc9hQ2e3hwtn/jTffLhtvLBR+DhFEX28UIPp6bBF9PbaIvi5bRF+PL6KvxxbR12VLdAhoEwhF9Dt0GyQ3DLgg6oz+g6PGy5xJqflMea/otxrdUP7I+V0W9v1B9qi2p3YfpmR8P9Ev2FFgbczXUlZu+N5evm+W8Uc6at30T6n+bOHs/fqHH5MtvS9NSU6JNgrRT5Rc7HyIfmxGiaZA9BMlFyxf/VpZkr05V7bnFQTLQKrABBD9wKjiTojox40srgz1ambJppxcMa8cEIBA+SIQiujfcu+T8s3SVRHvwY91D3/5QrZrbb2if+DjdWR7wTZZMXCdZGVWKe/NK5P6+4m+qcibyyfIFVN7SZXMqjK71yJ7gz7vUeeyS6TqxNdEMjJk3TMvytazu5VJG5K5UERfr3cQfT22iL4eWxMZ0dfji+jrsUX09diayIi+Ll+iQ0CTQCiibypoZvXN4Z21N++vW78xZe/PN212i35O3hZpPKq+vTP89wPWavZdSseOJPqm0c5TDcyj9swj95wjY2O21L30Ysma9Z4U1Kkjf1mSv63DiSnNKdHGIfqJkoudD9GPzSjRFIh+ouSC5UP0g3FKJBWinwi1YHkQ/WCcEk2F6CdKjnwQKHsCoYm+aYqZ2Z88fX6xVrU9omnE3fjLvvnh1MAt+ms2/ypHPHuQ7FF9L1l46YpwCkjDKNFEf3X2SunwYkvJy8+Vp88YJ6c36iIV1v4p9XqeI5UWfiZ5Bx4kfz37ouQ2PzwNyQVrMqIfjFMiqRD9RKgFy4PoB+OUaCpEP1FysfMh+rEZJZoC0U+UXLB8iH4wTqSCQDISCFX0k7GBTp1GjJ4gr0yZucuKA7+LEybP4lljippjbj1YvvJn++/GDffd5RYFt+gvXbdEOr50pDSpe6jMuujzZEaS1HWLJvqm4qMW/k/+Pe9WOaBWQ5l52lTZr3cvqfz5p5Lb+khZ9+xLkr/frkv6k7rBpVw5RF8POKKvxxbR12NrIiP6enwRfT22iL4eWxMZ0dflS3QIaBJIedF3Hu1nINatXcNX9KPtL9D3+uGydl12kdz77TfgFv1Pf/1Qur5+khy5V1uZfN5Mzb5L6dixRN80/oJJZ8qSpTPlw4m7S+Nlf0huqyNk7biJUlB/95RmE0bjEP0wKPrHQPT12CL6emwRfV22iL4eX0Rfjy2ir8uW6BDQJpDyou8AjDajH030vU8UMBcOvE8QcIv++6umSe8p58hJDU6TF86epN1/KRs/iOh/v+JDqdT9JDnmJ5E/Dm0o+RNnScHue6QskzAbhuiHSbN4LERfjy2ir8cW0ddli+jr8UX09dgi+rpsiQ4BbQKIvmdfAfes/1dLVkjPgXfLuJF3SIumjey+8HvPLfoTl46Xq6dfKt2a9JDHOo3R7r+UjR9L9CusXy91LzxHKn/ykXy+t0ivfnXlpcs/43GGAUcEoh8QVALJEP0EoAXMgugHBJVgMpbuJwguQDZEPwCkBJMg+gmCC5iNpfsBQZEMAklIIO1F39snZmm+Od4YM8xX6v1Ef4P13GHneHrRKLlxxjXSr+UV8uCpI5Kwy8tHlSpUEKmeVVE25uTtUuGMDeuleveukvnRAsk/vKX0uWwPGbv2Xel+yPnyzNkvlo8GlnEtjYzmbMuX/IIdZVyiMX3yAAAgAElEQVST1Cs+q1IF68mOGbJ1e37qNa6MW1QhwzovWGN345ZdzwtlXLWUKN6cF7Za54U8zguh92dl67yQaZ0XcjgvhM7Wwio1rLGbzXkhdLYmoLlItS03337lgAAEyhcBRN/TX849/WYzvqAz+pu3/v2PzgcW3C93zb5dbjxmsAw94Z7yNRqSqLYVrP9yZ1XOtGS0+D/oMzZskKxzukjmgvlScPjhsnXiZFlZPU/aPttaNm3bKI90Gil9W/VPopYkZ1WqWmy35RVIAf+gD72DKlW0RN+Kut3iyxEuAXMBxYzdLZ7zQrilpG+0KhZbM245L4Q/BiplWucF6wL29lzOC2HT5bwQNtHi8cx5Idc6L5hXDghAoHwRQPSjiL75KN579O+ZN0RGLnxYhrS7R6484vryNRqSqLZ+S/czNmZLvQu7S+UP50tus+ay7uWJkr/Pvnatx33znNzw/kCpUrGqTO0xz37qAUdkAizd1xsdLN3XY8vSfT22JjJL9/X4snRfjy1L9/XYmsgs3dflS3QIaBJIe9E3Ij9n0t9L7M3fTRrtJ888NNjmHu+u+/96/yp58ZtnZXjHR6VXs76afZfSsb2in7Fpo9TraSR/nuQe1qxQ8vfdrxiDf87oL699+5Ics097eb379JTmU9LGIfolJRg5P6KvxxbR12OL6OuyRfT1+CL6emwRfV22RIeANoGUF3334/UcmF1Oayf33Xq5/ae5J3/5yp+LOLc9ommR5DtvutM0brhv0aP2nM/dm/FdMbWXvLl8gozq9IKc3eRc7f5L2fhu0c/YvKlQ8hfMlbymh8laI/n77b9L27fkbpbO44+T79cvlQGtr5Xbj7s3ZfmUtGGIfkkJIvp6BCNHRvR1qTOjr8cX0ddji+jrsUX0ddkSHQLaBFJe9LUBmvhu0b/wjbNl9o/vyUtdJssJB5xSGsWnZBmO6P/xy9pCyZ8/R/IObVoo+fsfELHNC36eLedN7Gx/zsWWyEMD0df72jCjr8cW0ddjayIj+np8EX09toi+HltEX5ct0SGgTQDRD4GwW/TPfKWDLPr9M3nr/NnSas+jQoieniFs0a9YIPmdT5esebMl7xAj+RMk/4AGMYGYPRLMXgm1qtS27tefLwfUbBgzT7olQPT1ehzR12OL6OuxRfR12SL6enwRfT22iL4uW6JDQJtAqKLf7MQ+Muzm/tKtc/ti9R4xeoK8MmVmsXvhtRtWmvHdot9hbEtZsX6ZzOn1hTSq3aQ0q5FSZVXK2yb1rZn8jFkzJe/gQwslv0FwYXduoTCrKszqCo7iBBB9vRGB6OuxRfT12CL6umwRfT2+iL4eW0Rfly3RIaBNoFRE3/3IOu0GlUV8t+i3HN1A/sz5Q77ot0rqV929LKpT7svM2L7NWq5/jlSePUvymhwia8cZyT8wrnat3/qXdH6lnfyYvUquOWqwDD7mzrjyp3piRF+vhxF9PbaIvh5bRF+XLaKvxxfR12OL6OuyJToEtAmUiujfcu+TMvfjr9JiRr/hyNqSm79dfhj4l1TOzNLuv5SMX69HF8l6f4bsOOQQ+ePF1yWvYaOE2jlr9Qy5eHIXO+8zZ7winRqdlVCcVMyE6Ov1KqKvxxbR12OL6OuyRfT1+CL6emwRfV22RIeANoESi77frvZ+lfZb0q/duNKK78zob8nbLE1G7S5VK1aT5QP+LK3iU6qcOpf9Q6pOfFXyG1oz+FOnyZr6xR+hF29j/++T++U/H90te1TbU6ZeMF/2rL53vCFSMj2ir9etiL4eW0Rfjy2ir8sW0dfji+jrsUX0ddkSHQLaBEos+u4KRrpHX7sRZR3fEf3fNv8iRz7b2JbJzy/9vqyrVe7Kr3XjNVJ9zNNSULu2rH9jqtQ8ro38vn5ridvR583z5N2Vb8tpB54pz575aonjpUIARF+vFxF9PbaIvh5bRF+XLaKvxxfR12OL6OuyJToEtAmEKvralU3W+I7of7duiZz00pFycN2mMvOiz5K1uklZrxr/GSbmxxxrJ74t+Sd2lLo1skIR/TWbf5XO49vJ71vWyL/a3iH/PPrmpGRQmpVC9PVoI/p6bBF9PbaIvi5bRF+PL6KvxxbR12VLdAhoE0D0S0r4ggvkl8fH2FEWrvlEznr1BGm959Hy5vkflDRy2uSvNv5FqX3VZXZ71z37kmw9u5vYj9cLSfRN3Gk/vCl93+phl/GitQv/idZu/Ol8IPp6vY/o67FF9PXYIvq6bBF9Pb6Ivh5bRF+XLdEhoE2gxKJvlusHPRbPKhTilDoyMmTNZ9/Yj36b8+P70vONs6T9fh1lfLe3UqqZWo2pvGCu1D/7NDt89l33yqarrrV/D1v0TczhH94lj3w6XPav2UCm9pgvtavU0WpW0sdF9PW6CNHXY4vo67E1kevXypLszbmyPa9At6A0jI7o63U6oq/H1kSuVzNLNuXk2q8cEIBA+SJQYtF3N7drnyFySocjZVC/7sUoRHq/fKGKUFtL9P98c4ZsP6adTF0xRfq9fYF0bnS2jD5jfEo0T7MRmT/9KPXPOkXM6+Z+V8iG4Q8XFach+ib4hW+cLbN/fE/Oatxdnug8VrN5SR0b0dfrHkRfjy2ir8cW0ddli+jr8UX09dgi+rpsiQ4BbQKhin6kzfhGjJ4gr0yZmZqP17NE/6+nnpecc86T1759Sf45o7+ce8iF8sipo7X7rtzHNzP5ZkZ/66mdZd3LE4q1R0v0V2evlE7jj5XsbRvktuOGycDW15V7jok0ANFPhFqwPIh+ME6JpEL0E6EWPA8z+sFZxZsS0Y+XWPD0iH5wVomkZEY/EWrkgUByECgV0XcewZeqS/ez775PNl35Txm7+BkZPPNq6dWsrwzv+Ghy9HCS1sLck2/uzc87pKn8+dZ79k777kNL9E0Zk5e9JgOnXWIX99o5U+XYfY9PUkp61UL09dgi+npsEX09tiYyoq/HF9HXY4vo67E1kRF9Xb5Eh4AmgVBFP9ISfSP6D44an7Iz+psGDpLsfw+XpxY9KkPn/ksua3W1DG3/H81+K9exnR32d1StJn++/Z7ktmi5S3s0Rd8UdvfcW+SJRf8nDWsdJJPPmyn1qtYv10zjrTyiHy+x4OkR/eCs4k2J6MdLLL70iH58vOJJjejHQyu+tP/P3nnAR1VlD/hAgBBKKKEJKkVQERF7BbuADbCjrq5rBV3L6vq3rbpiX9vau7L2LrIW7AVQUbEsCBZAOlISIJRAEpL/uy9MnISZzGtn8ubNN/7GJDP3nnvvd26GfPfd9x6i746X29KIvltilIdAeAgEKvqxI/c3Xn6mDBvcv3qUZkv/kIF7y81Xnh2ekQfVE2vrfsmwY2T5Y0/LvZNvk1u+uFbO3+VSuXyv64JqIVJxmj3/tLQ+/xx7TEWjn5d1RwxNOD5t0TeNnjDmcJkw/2M5sOtAefrIMZHinGowiH4qQt7fR/S9s0tVE9FPRcjf+4i+P3511Ub09dgi+npsTWREX5cv0SGgSSBQ0TcdnTJ9lgwfOapGn0ecMmSTC/RpDiqtsS3RL91jL3v7+b8mjZK7v76Fe7UnSUDuxM+kYOhg+93iUbdYpztckDRV6RD939cslKGvHijzi+fKGf3OlVEDbk/r1KnPxhB9PfqIvh5bRF+PrYmM6OvxRfT12CL6emwRfV22RIeANoHARV+7w6GLb4n+hi22lMXf/STXTbhcHvn+Hrmm/81yzo4Xhq6r9dmhnHlzpd3hB0nOwgWy5qyRsvLmO+rsTjpE33TgiwWfybGvVy0+3LDvnfKXHUbUJ6a0tY3o66FG9PXYIvp6bBF9XbaIvh5fRF+PLaKvy5boENAm4Fv0zbb8SB+xT5UBS/SlUSNZ+HuxXPHJhfLU1Efl5v3vllO3PytVzax639xGr8mXn8u6gYdK0XOvphx7ukTfdOS5H0fLpR+fa/fp2SFjZf8tD07Zv0wvgOjrZRDR12OL6OuxRfR12SL6enwRfT22iL4uW6JDQJuAb9E3HRww7HwpWrHK7mskr6xfVxY6dhRZskQW/zhLzp9yjbz80zNy10EPy/G9T9HOXcbEb3PumZL30nNS3ns76xSHj6QiPz9l39Mp+qYzN37+D3ng2zulfbMO8oZ1cb6u+d1T9jGTCyD6etlD9PXYIvp6bBF9XbaIvh5fRF+PLaKvy5boENAmEIjoxzoZuxif+XmPnXvLE3dept3/+o+/884i330nSz+YIGcsvkv+++ur8tCgp+XIXsfUf99C0IOWt1wvLW+/WSqbt7Ak/wMp234HR71Kt+ibTp359nB5Z9ZY2b3z3vL60R846memFkL09TKH6OuxRfT12CL6umwRfT2+iL4eW0Rfly3RIaBNIFDRj+/s6RffKpO+nW6/VPsq/NqDSmv8I48UefNNKXrqRTmhYrR8MPsdGX3EK3JIt8PS2o0wNtbs2f9I6wtH2l0zfNYdZrFy+KgP0V9dusq6ON8B8lPhNHtHhtmZEdUHoq+XWURfjy2ir8cW0ddli+jr8UX09dgi+rpsiQ4BbQJqoh/f8Uhv7R9hXbzt4Ydl5a13yREFY+3btb047C3pv/kB2rkLdfzcCZ9KwbBD7T6uvOFfsmbEX131tz5E33RwytLvZcjLB0hpxXr7FonmVolRfCD6ellF9PXYIvp6bBF9XbaIvh5fRF+PLaKvy5boENAmkBbRjw0itrX/hQevkb69e2iPLT3xb7hB5OqrZfVFl8r+234mk3+fJG8c85Hsutme6Wk/hK3kzJlddYX93xfJmrPPlZU3ub9tXX2JvsE59pdXZOR7p9pko3oaBqKv94uD6OuxRfT12CL6umwRfT2+iL4eW0Rfly3RIaBNIK2irz2Yeon/5JMip58ua084WXYfMEV+XPY/eW/4l9KnnbNz0eulz5qNVlaKfYX9SV/IusGHS9EzL3tqrT5F33T47q9vkX9NGmX3/ZWjxsleXfb1NI6wVkL09TKD6OuxRfT12CL6umwRfT2+iL4eW0Rfly3RIaBNwLfom9vrOX1E8or8778vMnCgrB+wv2x3zAKZteJX+ezk72WrNls7xRKpcq0vGCHNnntKyvpsL8ve/EAqW6a+wn4iAPUt+qZPV356kfxnyiPSLq+9vGzJ/tZte0cmV4i+XioRfT22iL4eW0Rfly2ir8cX0ddji+jrsiU6BLQJ+Bb9+A4OPe0qOXjALnL+GUfX6Hey17UHl5b406aJ9Okj5T23lq4j18rCVfPl69N+kc4tNk9L82FqpPlD90mrf/yfVDZpIsveH2/Jfl/P3QuD6JvOn/3OSfLWzDGybcF28vKwd6VtXoHnMYWpIqKvlw1EX48toq/HFtHXZYvo6/FF9PXYIvq6bIkOAW0CgYq+Obqf6Ar79z7+mrz0349l/Jh7tceT/vgrV4q0bm3fPq7g6iayfF2RTDljXmSE0CnQJl9PknaHVl2AcMX9j9qnMvh5hEX0N1RskONeHyyTFk2UfTbfX14a9rafYYWmLqKvlwpEX48toq/HFtHXZYvo6/FF9PXYIvq6bIkOAW0CaRH92EX4Irl138pQZX4rabCqWDpflSeLGpfIjBHLJK9RM+3chSp++wP3lsb/+97zxfdqDyYsom/6tWTt73Lsa4Nl5opfZNjWx8v9A0eHir2XziD6Xqg5q4PoO+PkpRSi74Wa8zrtWuVK8ZoyKS2vcF6Jko4IIPqOMHkqhOh7wua4UkF+rqwuKRPzlQcEIJBZBAIV/WRb9I3o3/HQi9E8om/lu3yb3tLol59kB+uW8VM6isw/b400aNAgs2aCj962uuISaf7og1K2w46y9KPPfUT6o2qYRN/0alrhFDn29UGyct0KObPfeXLdgNsCGWd9BUH09cgj+npsEX09tiYyoq/HF9HXY4vo67E1kRF9Xb5Eh4AmgUBFP3bkvvb2fbOlf8jAveXmK8/WHEu9xV5/wMGS+8mHcuifRD7ZJk9mjiyst76ku+G811+RNmdV3Ypu2bhPpHTX3QPpQthE3wzq07kfyEljh9jju2zPf8oFu/5fIGOtjyCIvh51RF+PLaKvxxbR12WL6OvxRfT12CL6umyJDgFtAoGKvunslOmzZPjIqtuSxR4jThmyyQX6tAeWzvhrTzpVmj3/tJxpOeBr+7SVqWfMT2fz9dZWzsIF0v6APaVhYaEUj7pZVp97YWB9CaPom8G9+vPzcsH7Z9jjvO2AB+SkPqcFNuZ0BkL09Wgj+npsEX09tiYyR/T1+CL6emwRfT22JjJH9HX5Eh0CmgQCF33NzoY19qpLLpeWd94q11rXonv08C7yzWm/hrWrgfar7SnHS9N33pR1hx0pRU+9GGjssIq+GeQj390j10283B7vk4e/LAO7Hx7o2NMRDNHXo4zo67FF9PXYIvq6bBF9Pb6Ivh5bRF+XLdEhoE0A0Q+A8Mrb75FWl14oj+4icsspvWT8n34IIGq4Q7S47y7J/+dVUlHQTpZ+Okk2dNos0A6HWfTNQG/6/Gq5/9s7JDenqbxy1DjZuVMwpywECrGOYIi+HmlEX48toq/HFtHXZYvo6/FF9PXYIvq6bIkOAW0CiH4AhIuee1XannysvN1L5NIL+sr7J04KIGp4QzT56ktpd9iBdgeXP/6MlAw9OvDOhl30zYAv/nCEvDj9KWmf10GeGfqGbN+uX+ActAIi+lpkRRB9PbaIvh5bRF+XLaKvxxfR12OL6OuyJToEtAkg+gEQXvrxF2JuL/dDJ5EzrttDxh7zcQBRwxui/QF7SeMpP8iac86TlTfqXH0+E0TfZOisd06Ut2e+IZ2ad5Znh7wh2xb0CW/i4nqG6OulCdHXY4vo67FF9HXZIvp6fBF9PbaIvi5bokNAmwCiHwDh33+aI516d5NlzUSG3bO/vDTs7QCihjNEq8svluaPPSRl/XaSpR9OVOtkpoi+AfCXt46T9357SzZvuaU8feTrsnXb3mpcggqM6AdFctM4iL4eW0Rfjy2ir8sW0dfji+jrsUX0ddkSHQLaBBD9AAgvLCyRjp1bSU5pmRzxyEB55OgxAUQNX4gat9J791Mp3WU3tU5mkugbCKe+ebR8OHucdM3vIc8MeV16tLbO4wjxA9HXSw6ir8cW0ddji+jrskX09fgi+npsEX1dtkSHgDaBrBH9ex9/TV7678cyfsy9mzAdetpVMmP2Avv1nt26yBujb6xRJtX7RvRb9Osm+QuWyDm3D5RrT4ue6Nu30tt/D2lYVGTdSu8W61Z6F6jOzUwT/YrKCjnlzWHyyZwPZKvWW8vTlux3ze+uyshPcETfD7266yL6emwRfT22iL4uW0Rfjy+ir8cW0ddlS3QIaBOIvOiPGTdBrrrlMZtj29YtNxH90y++VQqLiqvl3kh9Qdt8eeLOy+w6qd43ZYzoVx7UT7r88Ktcd80hctYFb2jnLe3x2/7pOGk67i1Zd/gQKfrPC+rtZ5roGyBlG0rlT28eJRPmfSzbWNv3nz5yjHRpuYU6Ky8NIPpeqDmrg+g74+SlFKLvhZrzOu1a5UrxmjIpLa9wXomSjggg+o4weSqE6HvC5rhSQX6urC4pE/OVBwQgkFkEIi/6sXQkO6I/YNj5csmIE2TY4P52UbMwcMdDL1YvCKR6Pyb6K4/vL70/+lYeunB/GXJ1tM7Rr76VXrv2VbfS62hddVD5kYmib5CUlK+VU8YeJV8sHC/btesrz1iy37F5sLceDAI9oh8ExcQxEH09toi+HlsTGdHX44vo67FF9PXYmsiIvi5fokNAk0BWi/6U6bNk+MhR8sKD10jf3j1szvGvmZ/rej9WxxzRnz1ysOz98mfy2qn7yJ53vq+Zs7TGrnErvSeelZIhR6Wl/UwVfQNnVWmxnPLfo+TrRV/IDh12so/st8trnxZuThtB9J2Scl8O0XfPzGkNRN8pKW/lEH1v3JzUQvSdUPJWBtH3xs1pLUTfKSnKQSB8BBD9AETfpPW98w+Tgfe9I18etZvs+dpX4cu01x7ttJPI99+LXHihyL//7TVK1tUrKimSw549TCYtmCR7bL6HvH3S29I2r23WcWDAEIAABCAAAQhAAAIQgED6CSD6AYi+OaL/7u0nyl9ueUOm7tNb2r4xOf2ZVGix+lZ6O+4sSz+YoNBC8pCZfEQ/NqplJUutbfzD5H9Lv5PdOu8lTx/xurRskp9Wjska44i+Xho4oq/HliP6emxNZI7o6/HliL4eW47o67E1kTmir8uX6BDQJJDVom/ApjoHP9X7JoYR/f888We54v9elkW9ukjlF79q5iwtsfNef1nanPVnu61lyrfSSzSgKIi+GdfiNYvkT5bsTyucInt27m/dem+M5DVqlpYc1tUIoq+XAkRfjy2ir8cW0ddli+jr8UX09dgi+rpsiQ4BbQJZL/qprqqf6v2Y6F8/9mx58PRnpDQvV5bNW66dN9X4OQvmV91Kb/nytNxKL8qib8+P1fMt2R8qPxdNt2X/4UOfrfdz9hF9vV8hRF+PLaKvxxbR12WL6OvxRfT12CL6umyJDgFtApEX/fjb68VgDhm4t9x85dnVbM0t9WbMXmD/3LNbl+pb7cUKpHrfHNG/8P0z5e6zn5POq6yjuJOnyYau3bRzpxa/7cnHStN335Z1RwyVotHPq7VTV+CoHNGPjXFu8Wz5y1vHyk+F02Tbgu3k4cHPSs8229QLW9Mooq+HHtHXY4vo67FF9HXZIvp6fBF9PbaIvi5bokNAm0DkRV8boIlvRP/scSfLRde8LgfPEil6/jVZd8jgdDQdeBst7r1T8q/7h1S07yBLP/kyLbfSSzSIqIm+GaM5Z/+cd06WLxdOsG+59/CgZ+xz9+vjgejrUUf09dgi+npsEX1dtoi+Hl9EX48toq/LlugQ0CaA6AdA2Ii+uZ3akIfflQu/FCm+9gZZff7FAUROb4jG338r7Q/ubze6PI230ssW0TfjLK8olxHv/knemTlWmjTMlUcOe1YO6XZYehNttYbo6yFH9PXYIvp6bBF9XbaIvh5fRF+PLaKvy5boENAmgOgHQNiI/nFjDpXt3/hUHv6vyNrhf5IV9z0SQOT0hmh3xCHS5MuJsubMEbLyljvT23it1qJ4RD9+iH//6Fx5ftpo+6V/H/yIHLftn9LKG9HXw43o67FF9PXYIvq6bBF9Pb6Ivh5bRF+XLdEhoE0A0Q+AsBH9I17eT5p//bWMf0KkbKddZOn74wOInL4QLe+4RVrePErKt+olSyd8I5WNG6ev8QQtRV30zZBvmHiVPPjdXfbo/9n/Vjlrx/PTxhzR10ON6OuxRfT12CL6umwRfT2+iL4eW0Rfly3RIaBNANEPgLAR/YNf2F0Wz5sqhbeKVDZrLovmLg0gcnpCNP5usrQ/ZIDdWFiuL5ANom943zf5drn5i2ts9hfseplctue1aUk6oq+HGdHXY4vo67FF9HXZIvp6fBF9PbaIvi5bokNAmwCiHwBhI/r7PN1XZq+cKesf6ihNfl8sS76ZKuXdegQQXT9EuyMOtrbsfy5rzhopK2++Q79BBy1ki+gbFM/8+IRc9vFfbSqnbn+W3Lz/3Q4I+SuC6PvjV1dtRF+PLaKvxxbR12WL6OvxRfT12CL6umyJDgFtAoh+AISN6O8yuqf8vnqhrPyov+R/NkGKnn1F1g1K/0XW3A4nfsv+komTRRo1chtCpXw2ib4B+NbMMXKOdeeGyspKGdLrWHlw0FMqXGNBEX09vIi+HltEX48toq/LFtHX44vo67FF9HXZEh0C2gQQ/QAIG9Hf7tHOsnL9Cimcf5a0fexRKb7mell9wSUBRNcLEcYt+7HRZpvom3F/vuBTOdu6/d7ydUWy75YH2bffy89tpTIBEH0VrHZQRF+PLaKvxxbR12WL6OvxRfT12CL6umyJDgFtAoh+AISN6Pd4sK2s37BOlrb8t7S75CJZe8LJsuL+RwOIrhcijFv2s1n0zdinFU6Rs98+WX5bOUP6tt9RHj70Wema3z3wSYDoB460OiCir8cW0ddji+jrskX09fgi+npsEX1dtkSHgDYBRD8AwvOXrZEt7m8hDRs0lMW7vi/tDj9IyvrtJEs/nBhAdJ0QYd2yn+2ib8a/cPV8+8j+d4u/li3yu8rDg5+Vfh12DnQiIPqB4qwRDNHXY4vo67FF9HXZIvp6fBF9PbaIvi5bokNAmwCiHwDhGYuXSa+H2kuzRs1l5okzpNNWm0ll0zxZNL8wgOjBhwjzln1Ev4rA2rI11jn7f5KP5rxrz6u7D3lMDttqaGCTAdEPDOUmgRB9PbaIvh5bRF+XLaKvxxfR12OL6OuyJToEtAkg+gEQnjJ/nuzw+JZSkNdO/nfGXOnYb2vJWTBflnw9Rcq7bxVAC8GGCPOWfUS/Zq4veP8MefXn5+0Xr9z7ejlv52Cu+4DoB/s7FR8N0ddji+jrsUX0ddki+np8EX09toi+LluiQ0CbAKIfAOGvZ/8iu/9nG+nScgv56s8/S8HxQyT3ow+k6JmXZd3gwwNoIbgQ8Vv2l074RiobNw4ueICRsvFifMnw3fXVTXL7VzfYb5/U5zS57YAHfJNG9H0jTBoA0ddji+jrsUX0ddki+np8EX09toi+LluiQ0CbAKIfAOHPZnwv+z27k/Rss418evJ3kn/1ZdLiwXul+OpRsvrCvwfQQjAhMmHLfmykiH7NnL/+y4ty0QdnSXlFuezVeYD8++BHZfP8LT1PDETfM7qUFRH9lIg8F0D0PaNzVLFdq1wpXlMmpeUVjspTyDkBRN85K7clEX23xNyVL8jPldUlZWK+8oAABDKLAKIfQL7e+/lLGfTCXrJ9u37y7vAvpNkzo6X1RedKyXEnyvIHHw+ghWBCtDviEGny5URZc9ZIWXnzHcEEVYqC6G8K9vslk+Wi98+SX5f/JJ1adJa7Ldnvv/kBnjKA6HvC5qgSou8Ik6dCiL4nbI4rIfqOUbkuiOi7RkGYAqkAACAASURBVOa4AqLvGJWngoi+J2xUgkAoCCD6AaThjakfybBXD5LdOu8lY47+UJp8PUnaHXqAlO2woyz96PMAWvAfIlO27MdGiugnzvnKdSvkog/Pkvd+e8sucMv+98gp25/peoIg+q6ROa6A6DtG5bogou8amasKiL4rXK4KI/qucLkqjOi7wuW6MKLvGhkVIBAaAoh+AKl48fu3ZPgbR8iALQ6UF4a+KQ2Li6VTj05SmdtUFi0oCqAFfyEyacs+ou8s19dNvFwe+e4eu/A5O14o1/S/2VnFjaUQfVe4XBVG9F3hclUY0XeFy3VhRN81MscVEH3HqFwXRPRdI3NVAdF3hYvCEAgVAUQ/gHSM/uYV+ctbx8nA7ofLk4e/bEfsuNO2kjNvriz58nsp77l1AK14D5FJW/YRfed5fmrKo3LFpxfaFQb1OEL+fdCjkp/bylEARN8RJk+FEH1P2BxVQvQdYfJcCNH3jC5lRUQ/JSLPBRB9z+gcVUT0HWGiEARCSQDRDyAtD335tIx891QZ0utYeXDQU3bEtqeeIE3f/q8sf+gJKTl2eACteAuRaVv2EX13eR4/7yO50LpI3+I1i2Trtr3ti/T167BzyiCIfkpEngsg+p7RpayI6KdE5KsAou8LX52VEX09toi+HlsTGdHX5Ut0CGgSQPQDoHvXhIfl4g9HyAnbnSp3HviQHbHFXf+S/Bv/KWtOO1NW3l61xTrdj0zcso/ou58l84rn2Ffk/3LhBGmc08Q6sv+IDNv6+DoDIfruOTutgeg7JeW+HKLvnpmbGoi+G1ruyiL67ni5KY3ou6Hlviyi754ZNSAQFgKIfgCZuOnjf8tVn/1N/tz3bLlpv3/bEZtM/lraDdpPyrtvJUu+nhJAK+5DZOKWfUTffZ5jNf7+0bny/LTR9o+X7nG1XLTbFUmDIfreOaeqieinIuT9fUTfOzsnNRF9J5S8lUH0vXFzUgvRd0LJexlE3zs7akKgvgkg+gFk4JoPbpbrJ14pI3a6SK7e56bqiJ227SoNly2VJZ9/K+VbbxtAS85DZOqWfUTfeY4Tlbxv8u1y8xfX2G8du+3J9tH9Bg0abFIU0ffHua7aiL4eW0Rfj62JjOjr8UX09dgi+npsTWREX5cv0SGgSQDRD4Dupe9cLbd/dYN9BNUcSY092pzzF8l79UVZecudsubMEQG05CxEjS37z70q6wYe6qxiiEpxez3vyXhr5hi58P0zpaR8rezSaQ+5+5BHpXurnjUCIvre+aaqieinIuT9fUTfOzsnNRF9J5S8lUH0vXFzUgvRd0LJexlE3zs7akKgvgkg+gFk4Pw3LxVzJPWKvUbJX3f5e3XEZs89Ja0vGCHrDj1Cip5+KYCWnIXI5C37sREi+s5ynazU9GVT5YL3z5BphVOkZW6+jOp/mxzf+5Tq4oi+P7511Ub09dgi+npsTWREX48voq/HFtHXY2siI/q6fIkOAU0CiH4AdM8cc548/sMDct2A2+TMfudVR8yZP0867riNVDZvIYvmLAmgpdQhMn3LPqKfOsdOS5gj+hd9cLa8OeM1u8qx25wko/a9XVrlthZE3ylF9+UQfffMnNZA9J2S8lYO0ffGzUktRN8JJW9lEH1v3JzWQvSdkqIcBMJHANEPICd/evl0eXbak/KvA++Xk7f7S42I7ffbQxr/OEUKx7wj6/vvF0BryUNEYcs+oh/8FHl66mNyzfhLpXTDeunUvLOMshakTttluKxYUyZl5RXBN5jlERF9vQmA6OuxNZERfT2+iL4eW0Rfj62JjOjr8iU6BDQJIPoB0D3m+RPltV9ekHsOeVyO2ebEGhHzr7lCWjxwt6z+2/9J8VX/DKC15CGisGUf0deZIrNW/CrXWrL/0Zz37AbO2XmEXGNt55eKHJ0Gszgqoq+XfERfjy2ir8sW0dfji+jrsUX0ddkSHQLaBBD9AAgf/swweXvmG/Looc/LYVsNrREx98P3peCEoVK6y26y7N1PA2gtcYiWt98sLW+5Xsq36iVLJ3wjlY0bq7WVjsCco69D+aHv/m3fIcI8erbZ2jrd5HbZf8uDdRrL0qiIvl7iEX09toi+LltEX48voq/HFtHXZUt0CGgTQPQDIHzg6IHy8Zz35ekjx8iBXQfWiNigrEw6bdlOzNfff5ojFe3aB9BizRC54z+RgqMOs18sytCr7NeGgugHPk2qA05Z+r3c8MVlMmHuePu1c3e+WK7a+wa9BrMsMqKvl3BEX48toq/LFtHX44vo67FF9HXZEh0C2gQQ/QAI7/3ovvLFwvHyytHvyl6dB2wS0RzRN0f2lz/8pJQcc0IALf4RImfx79Ju8P6SM2+urL7gEim+5vpA49dXMERfl7y5GN9VH14rt31ZJfg7tN/JvlDfbpvtpdtwFkRH9PWSjOjrsUX0ddki+np8EX09toi+LluiQ0CbAKIfAOGdHtxVvl8yWd467jPZseOum0Q05+ibc/XXnnSqrLjnoQBa/CNEwXFDJPfjD2T9QYdI4YtvBBq7PoMh+rr0Y1fdHz/3M7nms7/Lj8v+Zzd46R5Xy0W7XaHbeMSjI/p6CUb09dgi+rpsEX09voi+HltEX5ct0SGgTQDRD4Bw7/v6yE+F0+TDE7+RbQu22ySiueq+ufq+2bZvtu8H9Wh15d+l+SMPyIau3WTpuE+kon2HoELXexxEXzcFtW+vd93Ey+WR7+6xG92ry77W0f3bZLuCvrqdiGh0RF8vsYi+HltEX5ctoq/HF9HXY4vo67IlOgS0CSD6ARDudlcPmVP8m3x+6lTpmt8jYcT2B+0jjX/4TpY/+LiUHFfzyvxeutD8iUek1f9dZFddNvZdKd1701MGvMQNSx1EXzcTtUXftPbRnHflauvo/uyVM+3G/9n/Vjlrx/N1OxLB6Ii+XlIRfT22iL4uW0Rfjy+ir8cW0ddlS3QIaBNA9AMg3PH2zWTJmt/lu9NnSYdmnRJGbP6fx6XVJedL2XZ9ZOlnX/tqNf7ieyvuvE/Wnnq6r3hhrIzo62YlkeibFtdvWGdv5X/mxyfsDhzc7VAZNeA26doq8QKWbi8zMzqir5c3RF+PLaKvyxbR1+OL6OuxRfR12RIdAtoEEP0ACOff3EpWlRbL9LMWSX5uq6QROwzYVRpNnyYr7rpf1p7yF08t5yxaWHXxvQXzZfW5F0jxqFs8xQl7JURfN0PJRD/W6thfX5Frx18qS9Yutl+6YNfL5G+7Xy5NGubqdiwC0RF9vSQi+npsEX1dtoi+Hl9EX48toq/LlugQ0CaA6AdAuMkNuVK2oVRmj1whjXOaJI2Y99Jz0ubcM6W8Ww9Z8s1UTy0XHHuk5H7yoaw7eJAUvfC6pxiZUAnR181SKtE3rReWLJPrJlwmr/78vN2ZDs06yoW7XS6n9T1Ht3MZHh3R10sgoq/HFtHXZYvo6/FF9PXYIvq6bIkOAW0CWS/6V9z0iIx97/NNOP/4yejq14aedpXMmL3A/rlnty7yxugbq98rryiXxtc3lpwGOTL3vFUp89Vu4L7S5NtvZOWNt8mac85LWT6+QPt9d5fG06baCwXL3rUuvlfQzlX9TCqM6Otmy4nox3rwxYLP5O5v/iXj531kv7R9+35y4a6Xy2FbDdXtZIZGR/T1Eofo67FF9HXZIvp6fBF9PbaIvi5bokNAmwCib4n+tF/m1JD3eOinX3yrFBYVV79vpL+gbb48cedldrFVpask/+Z8adGkpfx8dtU257oeTf87Rtr+5STZ0GkzWfzDLyI5Oamq2O+bC++ZC/CZx7I3P5DSPfd2VC9TCyH6uplzI/qxnrzx68ty99e3yM9F0+2XDuw60L4V3y6d9tDtbIZFR/T1Eobo67E1kdu1ypXiNWVSWl6h21AWRkf09ZKO6OuxNZEL8nNldUmZ/ZUHBCCQWQQQ/RSiP2DY+XLJiBNk2OD+dmbHjJsgdzz0oowfc6/98+LVi6XTHZ2kXV57+eEMZ7fOazdkkDT5fLys+vsVsuryq+ucMY1+/VlaX3SuNJn0hV2u6NlXZN2gwzJrlnnoLaLvAZqLKl5EPxb+0e/vlbsn3yrLS4rsl4Zv92e5cJfLZMtW3Vz0ILpFEX293CL6emxNZERfjy+ir8cW0ddjayIj+rp8iQ4BTQKIfq2t+21bt6yW+CnTZ8nwkaPkhQevkb69q646Xvu12StmS/e7u8sW+V3ly1OrjnSmejT94F1pO/wou9jqC/8uxVePSlglb8yrtuQ3WL1KyrftLSv+/aCU7rp7qvCReB/R102jH9E3PTMXn7zH2s7/wLd3VnfUXLDvot0uk9ycprqdD3l0RF8vQYi+HlsTGdHX44vo67FF9PXYmsiIvi5fokNAk0DWi35tuGZrvnmY8/CdiP60pdOkzwN9ZJuCbeXbM6c4zlWje/4tTS671C6/4ZCBUnbtP6Vil92kQVGhNJz8rTS+cZQ0nPSl/X75CSdK6QMPiTRr5jh+phds0LCB5DbOkXXryzN9KKHsf9MmOfb23IqKSl/9+7XoV7n185vk+R+fseN0bN5JLtv7Sjln55G+4mZy5UaNGkoDawBlbH8OPI0NGjQQM3dL+FwInK0JGNTngkrnMjyo+Vyw/lmT0jJOiwg8ldbnQh6fC4FjjQXMtdiaf8/M5wMPCEAgswgg+rXyZbbmX3XLY2IuxudE9Ccvmiy7PrKr7NhxZ/n4lCoxd/po9OH70uz8kdJw7tyqKrnW+U/r19eoXjLqRll/cdWCQDY9cqw/iMwRkOISRF8j7y3zGsna9Rtkg0/Rj/Vt4vzP5I4vb5GPZ39gv9S3Qz/5+15XypBeVTtXsunRtLEl+tYfniWlG7Jp2GkZqxEls2OieC2fCxrADdt11udCeUCfCxp9zNSYuUb0rQnM50LwGTSfC+bftJV8LgQP14rYwvpbbH3ZBvtvMh4QgEBmEUD0a+UrXvTNW6nO0R8/d7zs++S+snvnveX1o6skx82jYeEyaX3xX6Xpu29bh+7LpaJ1a6nouJmU9e0na047M/IX3UvGiq37bmaR+7J+t+4na3Hsr69YV+i/RX4qnGYXMRfsM1fo33WzPd13MkNrsHVfL3Fs3ddjayKzdV+PL1v39diydV+PrYnM1n1dvkSHgCaBrBd9I/KxC+vFxL5Xj82rr6qf6qr77818TwY9M0j22/JgeW7IWM+5arB+nVj7qKUyL3u259cFC9H3PJUcVdQS/Vjjj35/ny38y9f9ccG+C3b9P+ma391R/zK5EKKvlz1EX48toq/LFtHX44vo67FF9HXZEh0C2gSyXvTNOfkzZi+o5rzHzr2rJT/2YnyZnt261LgV35ifxshRLx4lg7ofIU8c/pJ2vrImPqKvm2pt0Te9X122yrod3601Ltj3113+Lqduf5Z0abmF7gDrMTqirwcf0ddji+jrskX09fgi+npsEX1dtkSHgDaBrBd9v4Cfm/KcnPzayTKs1/Fy/6DRfsNRfyMBRF93KqRD9GMjmLXiV+vo/r/klZ+erR7UCb1PtYT/TOvaFrvqDrQeoiP6etARfT22iL4uW0Rfjy+ir8cW0ddlS3QIaBNA9H0Sfvy7x+XMsWfa9xK/48AHfUajeowAoq87F9Ip+rGRTFo4UZ6e+pi8/suL1YM7sOsgObXvWXJIt8N0B5zG6Ii+HmxEX48toq/LFtHX44vo67FF9HXZEh0C2gQQfZ+E7510r1ww7gL5yw4j5IZ9/7inuM+wWV8d0dedAvUh+rER/bZyhvxnyqO29K8rL7Ff7tt+R+sI/9lyUp/TdAeehuiIvh5kRF+PLaKvyxbR1+OL6OuxRfR12RIdAtoEEH2fhP818V9y2QeXycid/ib/2OdGn9GoHiOA6OvOhfoU/djIVpUW27L/1NRHZV7xHPvlTs0721v6jfS3yWurC0EpOqKvBNYKi+jrsUX0ddki+np8EX09toi+LluiQ0CbAKLvk/A/P/mnXPfpdXLx7lfJJdaTRzAEEP1gOCaLEgbRj+/byz89Yx/l/27x1/bLjRo2klNs4T9Ltm7bWxdGwNER/YCBxoVD9PXYIvq6bBF9Pb6Ivh5bRF+XLdEhoE0A0fdJ2BzNN0f1r9z7ejlv50t8RqN6jACirzsXwib6sdF+POd9efrHR+XdWW9WAzii59HyZ+s8/r277KcLJaDoiH5AIBOEQfT12CL6umwRfT2+iL4eW0Rfly3RIaBNANH3Sfj8d86X+766T67f9w45fYeRPqNRHdFPzxwIq+jHRj916Q/Wtv5H5Zkfn6gGsmfn/nJK3zPtO1yE+YHo62UH0ddji+jrskX09fgi+npsEX1dtkSHgDYBRN8nYXPFfXPl/dsOeCASFxLziSOw6hzRDwxlwkBhF/1Yp5es/d3e0v/U1EekqKTQfrlH6172lv4/73CWNGmYqwvKQ3RE3wM0h1UQfYegPBZr1ypXiteUSWl5hccIVEtGANHXmxuIvh5bRF+XLdEhoE0A0fdJ+KRXT5Lnpz4v9w18Uo7a+gSf0ageI4Do686FTBH9GIWKygr7on3mKP9PhdPsl/MaNZPBPY6UQ3sMkcFbDZGcBjm60BxGR/QdgvJQDNH3AM1FFUTfBSyXRRF9l8BcFEf0XcDyULQgP1dWl5SJ+coDAhDILAKIvs98HfXiUTLmpzHy2KEvyKGWbPAIhgCiHwzHZFEyTfTjx/HWzDHylHWUf8L8j6tfDpP0I/p6cxfR12NrIiP6enwRfT22iL4eWxMZ0dflS3QIaBJA9H3SHfTMIHlv5nvy7JCxsv+WB/uMRvUYAURfdy5ksujHyMwpniXvzBwr78waK98s+rIaWNOcPHvRrb6O9CP6enMX0ddji+jrskX09fgi+npsEX1dtkSHgDYBRN8n4X2f3FfGzx0vrx79npiLhfEIhgCiHwzHZFGiIPrxY3Mi/YOsbf7mtn3aD0RfjzCir8cW0ddli+jr8UX09dgi+rpsiQ4BbQKIvk/Cuz6yq0xeNFnePn6C9Ouws89oVI8RQPR150LURN+R9DeyjvSb8/m7H2mf068l/Yi+3txF9PXYIvq6bBF9Pb6Ivh5bRF+XLdEhoE0A0fdJuM8DfWTa0mny0YmTZZuC3j6jUR3RT88ciLLoO5V+I/xmi/9gS/6DlH5EX28OI/p6bBF9XbaIvh5fRF+PLaKvy5boENAmgOj7JNz97u4ye8Vs+eLUabJlfjef0aiO6KdnDmSL6CeS/nG//Ve+XvhF9VtNrSP9QUo/oq83hxF9PbaIvi5bRF+PL6KvxxbR12VLdAhoE0D0fRLudHsnWbxmsXx3+m/SoVlHn9GojuinZw5ko+jXkP6V1oX8rIv4jZtlSf+iP6Q/N6epvb1/YI/DZa8uA6zf6U6uE4Lou0bmuAKi7xiVp4Jcdd8TNkeVEH1HmDwVQvQ9YXNciavuO0ZFQQiEjgCi7zMl+Tfny6rSVfLT2b9Lyyb5PqNRHdFPzxzIdtGvLf3mKL+5gn+89Jsy2xb0sYV/r84DZM/NB0hB03YpE4Top0TkuQCi7xmdo4qIviNMngoh+p6wOaqE6DvC5LkQou8ZHRUhUO8EEH2fKWh8fWMpryiXOSNXSqOcxj6jUR3RT88cQPQTc55jHek30j9+3kfy5YKJUlK+tkbB7dv1k70s4d9js/72AkDrpm02CYTo681hRF+PrYmM6OvxRfT12CL6emxNZERfly/RIaBJANH3SbfBdQ2sC3k1ljnnrvQZierxBLjqvu58QPSd8Z20aKJMWjBBvjDPheOlbENpjYo7dtylSvot+Te31zS7ehB9Z2y9lEL0vVBzXgfRd87KbUlE3y0x5+URfeesvJRE9L1Qow4EwkEA0feZByP6LXPz5aezfvcZieqIfvrmAKLvnnVFZYVMWmikf7wt/l9a4m9ei3/s3Gl32XfL/WRA131lh7Z7SrPGzd03RI2kBBB93cmB6OvxRfT12CL6emxNZERfly/RIaBJANH3SdeIvrkIn7kYH4/gCHBEPziWiSIh+v75lleUVUm/Jf/mqP+X1tfaj907720d6TdH+/ext/o3ycn133AWR0D0dZOP6OvxRfT12CL6emwRfV22RIeANgFE3ydhI/pd87vL56f+6DMS1eMJIPq68wHRD57vuvIS+0j/t0s+l4nzP7Pk/4+r+ZvWGjRoIHta2/zNRf32srb572mJf06DnOA7EuGIiL5uchF9Pb6Ivh5bRF+PLaKvy5boENAmgOj7JGxEf5u2veWjkyb7jER1RD99cwDR12MdO0d/0crl9lH+L+abo/7j5fvF39RotFHDRvbR/r269Je+HXaSbdv2kS4tt9DrWAQiI/q6SUT09fgi+npsEX09toi+LluiQ0CbAKLvk7AR/R077CJvHT/eZySqI/rpmwOIvh7rZBfjK16/0hZ+s93fnOv/vyXfbdKJtnkF0rugr/XsYz23t27vt71s1257tvxvJIXo681bExnR1+OL6OuxRfT12CL6umyJDgFtAoi+T8JG9M3Vtl89+j2fkaiO6KdvDiD6eqydXnW/qKTQPuL/lXVl/+nLfrSeU6Rw3bKEHTO7hoz097akf7t2fbP26D+irzdvEX1dtoi+Hl9EX48toq/LlugQ0CaA6PskbET/gK6HyDNHvuEzEtUR/fTNAURfj7VT0U/Ug4Wr5stPRT/KNEv6fyq05L/QfJ2WsLPZePQf0debt4i+LltEX48voq/HFtHXZUt0CGgTQPR9Ejaif2iPIfLYYS/4jER1RD99cwDR12PtR/QT9apsQ6lMt+TfHPGfXjg19dH/Auvof9uqo/9m+795RuXcf0Rfb94i+rpsEX09voi+HltEX5ct0SGgTQDR90nYiP7RWw+Xewc+4TMS1RH99M0BRF+PddCin6yni1YvsMXf6dF/I//mfP/qc//bW+f+N8ys2/0h+nrzFtHXZYvo6/FF9PXYIvq6bIkOAW0CiL5Pwkb0T+pzmtx2wAM+I1Ed0U/fHED09VinS/QTjaDm0X+zC2CqtfV/qiwrWZpwwNvEHf03twk1R/67tNhCOrXorAfIR2RE3wc8B1W5GJ8DSB6LIPoewTmohug7gOSjSEF+rqwuKRPzlQcEIJBZBBB9n/kyon9Gv3Nl1IDbfUaiOqKfvjmA6Ouxrk/RTzaq2NH/qq3/1rOOc/9NjEYNG8vmLbesEn/raX/fYnPZPH/ja9ZiQJOc9P/Rh+jrzVsTGdHX44vo67FF9PXYmsiIvi5fokNAkwCi75OuEf3zdr5Ertz7ep+RqI7op28OIPp6rMMo+olGW15RJtOM+C+dIj8XTZf5q+fKglXzZEHxXFlasiQloA7NOtUQ/9jCgL0YYC0EtMptnTKG2wKIvlti7soj+u54uSmN6Luh5a4sou+Ol9vSiL5bYpSHQHgIIPo+c2FE/++7/0P+tvuVPiNRHdFP3xxA9PVYZ4ro10VgXXmJLFhtSb8l/vOLra+x71fNlYVmMcD6ubyivE6ILXPzbeHfdGdA1S6BzVp0cZ0ERN81MlcVEH1XuFwVRvRd4XJVGNF3hct1YUTfNTIqQCA0BBB9n6kwov+PfW6UkTv9zWckqiP66ZsDiL4e6yiIvhM65laA9gKA9Zxv7QKwdwPYCwLm+/myqrS4zjCNGjayhL/q6H/1KQHN404PsBYDcnOa1oiB6DvJjPcyiL53dqlqIvqpCHl/H9H3zs5JTUTfCSXKQCCcBBB9n3kxon/jfnfJaX3P8RmJ6oh++uYAoq/HOltEPxXBFeuWVy0C2OK/cTFg48KAOT1gydrFqUJIh2Yd7cWAzayLA7Zu2kbaNG0rXVq3l0aV+dK6ifnZPAvs98wzr1GzlDEpkJwAoq83OxB9PbaIvh5bExnR1+VLdAhoEkD0fdI1on/HgQ/K8O3+7DMS1RH99M0BRF+PNaLvjO36DeuqdgGYRQCzGLDa2iEQvyBgvZbq9IDaLZkdAFULApb457aVNnlt7a+tc6sWAlpbCwVt4r6Pvd68cQtnnY54KURfL8GIvh5bRF+PLaKvy5boENAmgOj7JGxE/4FB/5GhvY7zGYnqiH765gCir8ca0Q+OrblbgJH/xWt/lxXrl0ux9VxfWSwLVi4Rs2NgufVcsb7I/t48S8rXemrc3EHASH9sgSC2KGC/Zi0WmJ0E8YsF9vfWs0WTlp7aC2slRF8vM4i+HltEX48toq/LlugQ0CaA6PskbET/icNekkE9jvAZieqIfvrmAKKvxxrR12Ob6hx9I/ox6TcLAPZCQI3FAGtRwFosqF4gsL43768tW+Op041zmmzcIWAtBNi7CKp2Ddi7CuzFgKpFgmZNmlunFeRJ0xzraX3Na7zxe+vnvCZV34fhgejrZQHR12OL6OuxRfR12RIdAtoEEH0HhIeedpXMmL3ALtmzWxd5Y/SN1bWM6D8/9L+y7xYHOYhEEacEGuU0kLYtc2XJinVOq1DOBQFE3wUsl0URfZfAXBRPJfouQtUoak4j2HSHgLVQUL1bwHy/cdFg3cbFgpIiWVvubYEgUT/N9QWaNm5atRhgFgDMwsDGBYHY93m1Fgo2KWPqmIWEjV8Tfm/FyGmYkxAVou91BqWuh+inZuS1BKLvlZyzepyj74wTpSAQRgKIfoqsnH7xrVJYVFwt90b6C9rmyxN3XmbXNKL/+tEfyO6d9w5jfjO2T4i+buoQfT2+iL4eWy3R99rj0or1mywQLC8ptHcNVC0cVC0KmB0D68rXyboNJfbpBfb31i0M47/32gcv9cypCk0bVS0q5DVuZi0MVH2fn9dCGjXIldyGTe0LG8YWHuzvTRl7EaH292Zxoak0adjEWkBoJOZuCjkNzNcc+/uGUvXVft18td4zCw2NcmLfN5IG1n9RfyD6ehlG9PXYmsiIvi5fokNAkwCin4LugGHnyyUjTpBhg/vbJceMmyB3PPSijB9zb7Xojzvhc+nbfkfNPGVdbERfHkwWcwAAIABJREFUN+WIvh5fRF+PbdhEP6iRVlZW2osAZgGgpMxaCDDfW7sMSkrjvjevW4sD9uvW9yWx783CQdnG1x1+X1FZEVTXA4ljxL9qcaBqESCngbUQYC8IVL0W/729SBD3nlX6j3I14lTVs2Paiwo50tDErbEYEVt8qHo9fqHC7kPcokXCvsQvaNTqs6lvL2A0sP5vPZvlmr40kNUl5fbP9nPjAof93cbXrApVf1tU/vFaonLxr8XaqFEuFjNhG1Vpi283YRtWH2Ll4tswfZVKM7RwLNAg+oH8GiYNgujr8iU6BDQJIPp10J0yfZYMHzlKXnjwGunbu4ddsvZr5oj+d2dNkW3b9dbMU9bFNn8/NGmUI+vLNmTd2NMx4CaNG0pZeaUYweARLIEc67QT81/5hnDJVLCjrJ9ofC4Ew339hvX2IkKJvcOgRNaWmkWGEimTdZaIrrVOSahaSFi7sYx5z5SxFxfM9+Z9a3HB/BxbdCirKLPvkmCeG+yvG/74uXLj95Vx72+o+t48rU+iYAZGlLQTSLZgkWxxIn6RIFY39pq9mLBxgaLGQkTVq1ULCxsXGGosjlivGdmXuMWRZOXi20wcz2o5SRvx/aurL6nb2DiOuHEFES9l/2KLPnGcq/NUx2s5DRvaTJ4Y9nja5xcNQgAC/ggg+gGI/uyLZkvXVl39ZYLaEIAABCAAgSwksCFuUcBeKIgtDGxcCIgtCCT7mrJ83KJCyrJxbfopa8ZkFlLt/zZ+NalN+FqsTHy5RK8liue0rlK5LJyuWTvkymtZkMva5DPwjCWA6Acg+j+PmC/tmrXP2EkQxo6bLbpmC/TKNWVh7F7G96lVs8ayZr11NG0D/3AHncy8JtaWXeuAzdr17EYJmm1DC2x+80ayYjWfC0GzNfHyrc+FtXwuaKCVptbnQo51YHTNumh9LtRYxEiymGCtblQtcDSo+vemevEj1cJGXLxYUhLVNZ+3LfIaygrr74XY++bgtd1mrTaq+7JxF0ntePYut1jd+PbjXrMPb8ePI0m5WPvJ4pkw8e1Xl7M4papbPa6NY0zV503iJWjD7k2CeLn2DsAKOXePs1R+NwgKAQjoEUD0U7B1co7+L+cskeaNW+hlKQsjc46+btI5R1+PL+fo67GN6jn6esTcReaq++54uSnNxfjc0HJXlnP03fFyW5pz9N0SozwEwkMA0U+Ri1RX3T/02UPl8cGvhSejEekJoq+bSERfjy+ir8cW0ddjayIj+np8EX09toi+HlsTGdHX5Ut0CGgSQPQd0DW31Jsxe4Fdsme3LtW32otVXVhY4iAKRdwQQPTd0HJfFtF3z8xpDUTfKSn35RB998zc1ED03dByVxbRd8fLTWlE3w0t92URfffMqAGBsBBA9APIBKIfAMRaIRD94JnGR0T09fgi+npsEX09tiYyoq/HF9HXY4vo67E1kRF9Xb5Eh4AmAUQ/ALqIfgAQEf3gIdYREdHXw43o67FF9PXYIvq6bBF9Pb6Ivh5bRF+XLdEhoE0A0Q+AMKIfAEREP3iIiH5amcYaQ/T1sCP6emwRfV22iL4eX0Rfjy2ir8uW6BDQJoDoB0AY0Q8AIqIfPEREP61MEX193Ii+LmO27uvxRfT12CL6emwRfV22RIeANgFEPwDCiH4AEBH94CEi+mlliujr40b0dRkj+np8EX09toi+HltEX5ct0SGgTQDRD4Awoh8AREQ/eIiIflqZIvr6uBF9XcaIvh5fRF+PLaKvxxbR12VLdAhoE0D0AyCM6AcAEdEPHiKin1amiL4+bkRflzGir8cX0ddji+jrsUX0ddkSHQLaBBD9AAgj+gFARPSDh4jop5Upoq+PG9HXZYzo6/FF9PXYIvp6bBF9XbZEh4A2AUQ/AMKIfgAQEf3gISL6aWWK6OvjRvR1GSP6enwRfT22iL4eW0Rfly3RIaBNANEPgDCiHwBERD94iIh+Wpki+vq4EX1dxoi+Hl9EX48toq/HFtHXZUt0CGgTQPQDIIzoBwAR0Q8eIqKfVqaIvj5uRF+XMaKvxxfR12OL6OuxRfR12RIdAtoEEP0ACCP6AUBE9IOHiOinlSmir48b0ddljOjr8UX09dgi+npsEX1dtkSHgDYBRD8Awoh+ABAR/eAhIvppZYro6+NG9HUZI/p6fBF9PbaIvh5bRF+XLdEhoE0A0Q+AMKIfAEREP3iIiH5amSL6+rgRfV3GiL4eX0Rfjy2ir8cW0ddlS3QIaBNA9LUJEx8CEIAABCAAAQhAAAIQgAAEIJBGAoh+GmHTFAQgAAEIQAACEIAABCAAAQhAQJsAoq9NmPgQgAAEIAABCEAAAhCAAAQgAIE0EkD00wibpiAAAQhAAAIQgAAEIAABCEAAAtoEEH2PhIeedpXMmL3Art2zWxd5Y/SNHiNlbzUvDO99/DV56b8fy/gx92YvOIcjd8P39ItvlUnfTq+OzJyuG7Ibtlfc9IiMfe9z2CrM2/iQ5rPhoafHyo2XnynDBvd32Fr2FfMzd2O0fvxkdPaBczBiN2xj4frsf1p15BGnDJHzzzjaQUvZV8Qp2ynTZ8nwkaMSAmLeJp83TvnGIgwYdr4UrVhVHRC22fc7yYgzgwCi7yFPRooKi4qr5d58QBa0zZcn7rzMQ7TsrOKW4ZhxE+SqWx6zYbVt3RLRTzFt3PI1/2jHL56Yn/vv3lduvvLs7JygdYzaLVvz+RC/EMjnRXK4btnGIsUWAM0fnoh+cHzNItW0X+awkO3gU9Dt3I0JKXKfGq5btrUjmnm8eNly/kZLgtot39r/htWunzqjlIAABNJFANH3QNpI0CUjTqg+amQk9I6HXkQ+XbD0ypAj+s4ge+Ubi84f+Mk5w9bZHPRSygvb+M8Ec3QU0Q9u7vI54HwWu527Ro46tmvDYqoDxG7Z1g5pPhdeePAa6du7h4PWsq+IW76m/PFHHlC9+4S/y7JvzjDizCGA6LvMVWwVPv4fjUSvuQybVcX9MOQflNRTxQ/fWHSzYr/d1l35I7QW7iDYmj+SevXYnKNLAbCt/XmA6Cf/fPAyd2ufdsJuqsR8vbA1c9XwjN/+jIxuytcL2/goHM2v+28GL3xjnwtDBu5t/43A3wup/y6jBATqiwCi75K8lw9Fl01Evrgfhoh+6unhh6+JHvtHnHPugv2jM3ZOI9c/CEaWEn0WIPrBin7taOYPevPgmjQ1ybj9zI2Vj999wuduMJ8LtaNwND940Y/N3/iFKv5eSP23GSUgUB8EEH2X1N3+g+4yfFYU98MQ0U89RfzyNRc048iSzh+dJirnMwbDtvYFJOOjct5zsItUsWixa6XwR30wol/7c5aFqmDnrfmMMA+unxTsAmDtecoiVeq/yygBgfoigOh7IO/2fCYPTUS+ileGiL6zqeGFL/9Y67GNj4wsJefsZd7GR0OU6p7Dfvkyd4Obu4nmKvM3MV8v85ZTKp39e2ZKueHr50CC8x5REgIQCIoAou+BpNsrlHpoIvJVUjFMtkUU0Xc2NdzyZUuuM66mlFu2te9oAOvkrN2yrR0JUap7Hrvlm+huHFxfIjFjt2xN+V9nza++iK9ZaJ3w1RQu6psAr1u2sc9p85Wj+an/bXPL13zO7rFz72q2zN3UjCkBgfoigOh7JO/2nqMem4l0tboY1pah+NvrxaDELgQTaUg+BueUb133HeYK5okT4JStqR1f1vzMOfp1T2o3bBF99x8QbvjWnrvxf9y7bzn6NdywjcnopG+n22C40GFwnwvmgACnoLn7fXM7d43sxx7MXXesKQ2BdBJA9NNJm7YgAAEIQAACEIAABCAAAQhAAALKBBB9ZcCEhwAEIAABCEAAAhCAAAQgAAEIpJMAop9O2rQFAQhAAAIQgAAEIAABCEAAAhBQJoDoKwMmPAQgAAEIQAACEIAABCAAAQhAIJ0EEP100qYtCEAAAhCAAAQgAAEIQAACEICAMgFEXxkw4SEAAQhAAAIQgAAEIAABCEAAAukkgOinkzZtQQACEIAABCAAAQhAAAIQgAAElAkg+sqACQ8BCEAAAhCAAAQgAAEIQAACEEgnAUQ/nbRpCwIQgAAEIAABCEAAAhCAAAQgoEwA0VcGTHgIQAACEIAABCAAAQhAAAIQgEA6CSD66aRNWxCAAAQgAAEIQAACEIAABCAAAWUCiL4yYMJDAAIQgAAEIAABCEAAAhCAAATSSQDRTydt2oIABCAAAQhAAAIQgAAEIAABCCgTQPSVARMeAhCAAAQgAAEIQAACEIAABCCQTgKIfjpp0xYEIAABCEAAAhCAAAQgAAEIQECZAKKvDJjwEIAABCAAAQhAAAIQgAAEIACBdBJA9NNJm7YgAAEIQAACEIAABCAAAQhAAALKBBB9ZcCEhwAEIAABCEAAAhCAAAQgAAEIpJMAop9O2rQFAQhAAAIQgAAEIAABCEAAAhBQJoDoKwMmPAQgAAEIBEPg9ItvlcKiYnlj9I3BBCQKBCAAAQhAAAIQiCgBRD+iiWVYEIAABKJGANGPWkYZDwQgAAEIQAACWgQQfS2yxIUABCAAgcAIXHHTIzL2vc9rxNtj597yxJ2XBdYGgSAAAQhAAAIQgEBUCCD6Uckk44AABCAQcQIc0Y94ghkeBCAAAQhAAAKBEUD0A0NJIAhAAAIQ0CSA6GvSJTYEIAABCEAAAlEigOhHKZuMBQIQgECECSD6EU4uQ4MABCAAAQhAIFACiH6gOAkGAQhAAAJaBBB9LbLEhQAEIAABCEAgagQQ/ahllPFAAAIQiCgBRD+iiWVYEIAABCAAAQgETgDRDxwpASEAAQhAQIPAvY+/Jg89PVZ+/GS0RnhiQgACEIAABCAAgcgQQPQjk0oGAgEIQCD6BIaedpXMmL3AHii314t+vhkhBCAAAQhAAALeCCD63rhRCwIQgAAEIAABCEAAAhCAAAQgEEoCiH4o00KnIAABCEAAAhCAAAQgAAEIQAAC3ggg+t64UQsCEIAABCAAAQhAAAIQgAAEIBBKAoh+KNNCpyAAAQhAAAIQgAAEIAABCEAAAt4IIPreuFELAhCAAAQgAAEIQAACEIAABCAQSgKIfijTQqcgAAEIQAACEIAABCAAAQhAAALeCCD63rhRCwIQgAAEIAABCEAAAhCAAAQgEEoCiH4o00KnIAABCEAAAhCAAAQgAAEIQAAC3ggg+t64UQsCEIAABCAAAQhAAAIQgAAEIBBKAoh+KNNCpyAAAQhAAAIQgAAEIAABCEAAAt4IIPreuFELAhCAAAQgAAEIQAACEIAABCAQSgKIfijTQqcgAAEIQAACEIAABCAAAQhAAALeCCD63rhRCwIQgAAEIAABCEAAAhCAAAQgEEoCiH4o00KnIAABCEAAAhCAAAQgAAEIQAAC3ggg+t64UQsCEIAABCAAAQhAAAIQgAAEIBBKAoh+KNNCpyAAAQhAAAIQgAAEIAABCEAAAt4IIPreuFELAhCAAAQgAAEIQAACEIAABCAQSgKIfijTQqcgAAEIQAACEIAABCAAAQhAAALeCCD63rhRCwIQgAAEIAABCEAAAhCAAAQgEEoCiH4o00KnIAABCEAAAhCAAAQgAAEIQAAC3ggg+t64UQsCEIAABCAAAQhAAAIQgAAEIBBKAoh+KNNCpyAAAQhAAAIQgAAEIAABCEAAAt4IIPreuFELAhCAAAQgAAEIQAACEIAABCAQSgKIfijTQqcgAAEIQAACEIAABCAAAQhAAALeCCD63rhRCwIQgAAEIAABCEAAAhCAAAQgEEoCiH4o00KnIAABCEAAAhCAAAQgAAEIQAAC3ggg+t64UQsCEIAABCAAAQhAAAIQgAAEIBBKAoh+KNNCpyAAAQhAAAIQgAAEIAABCEAAAt4IIPreuFELAhCAAAQgAAEIQAACEIAABCAQSgKIfijTQqcgAAEIQAACEIAABCAAAQhAAALeCCD63rhRCwIQgAAEIAABCEAAAhCAAAQgEEoCiH4o00KnIAABCEAAAhCAAAQgAAEIQAAC3ggg+t64UQsCEIAABCAAAQhAAAIQgAAEIBBKAoh+KNNCpyAAAQhAAAIQgAAEIAABCEAAAt4IIPreuFELAhCAAAQgAAEIQAACEIAABCAQSgKIfijTQqcgAAEIQAACEIAABCAAAQhAAALeCCD63rhRCwIQgAAEIAABCEAAAhCAAAQgEEoCiH4o00KnIAABCEAAAhCAAAQgAAEIQAAC3ggg+t64UQsCEIAABCAAAQhAAAIQgAAEIBBKAoh+KNNCpyAAAQhAAAIQgAAEIAABCEAAAt4IIPreuFELAhCAAAQgAAEIQAACEIAABCAQSgKIfijTQqcgAAEIQAACEIAABCAAAQhAAALeCCD63rhRCwIQgAAEIAABCEAAAhCAAAQgEEoCiH4o00KnIAABCEAAAhCAAAQgAAEIQAAC3ggg+t64UQsCEIAABCAAAQhAAAIQgAAEIBBKAoh+KNNCpyAAAQhAAAIQgAAEIAABCEAAAt4IIPreuFELAhCAAAQgAAEIQAACEIAABCAQSgKIfijTQqcgAAFNAn32P00OPXAPuf2akQmbOej4i2Wn7Xslfd9UOvmvN8jvS4rkw5fu1OzqJrFNu99PnSF3XXeeDNxvtzrbNuMwfXzpkX9Kn627pbWfWo3Fxm/i77h9T3n2vn9oNRXJuH8f9aC889Eke2ydOrQNdP7++MtsOf7sfzqK+96nX8vfrr2fHEZyljEoCEAAAhAIAwFEPwxZoA8QgEBaCdQl+jEBSSXHtUX/qZfflVvvf96RgNcebEzI418/7YTBcunI4TWK3vbgCzL6xXGbiHtd46mvBQmNhMbG/+MnozXCO46ZjGlMop0swjhuLMCCsTmaam7XbjK2uFLX4pipY+axWTyIX3yp6/citjCQaK4HOGxCQQACEIAABLKSAKKflWln0BDIbgJ1ibGRtUVLClMeKQ5C9GMSVPvIdLKjnabfiaSorvHEZOqy806UU48blNGJd7LTIh0DzFTRN/02Dze7IOKP0pvdIckWWZItIqRaAAvL4k065g1tQAACEIAABNJJANFPJ23aggAEQkGgLjE27zmRYr+iHxOouo6SmkWH2OkFdQlRqlMRTJzvpv4a6Dbt+kikEf3BB+y+yU6HdPclU3dJmH5v1qGgzlNSarOMzTvzO2F2rCT73Ui2CJNK9E17yRaw0p1X2oMABCAAAQhEiQCiH6VsMhYIQGATAjGhrv1GIsGOSUmio5aJttfHznGO1avdRl1buJNtw0+WwmQiZSQp1dhiOwScbCmPP4c7FjfRufCJxuxkC3ai/jpZWElUz2xBn/zDz7aA1t6OHhtHLJcxBqatd63zw811DmKPRPlOxMG0cdM9z9Soa2LE5kGynMZfV8CUr80pXobNWMyR8/i4Tn6tY+OLLxs/rkTz18l8iN8FkGhrvmkv2fxy+nsRlYUoJ3miDAQgAAEIQCBdBBD9dJGmHQhAIO0E4uUuftt6siPgyY54Jirv94i+m6PCqbbfpzqib8A7PWpqpGuH3j1qbPM3deNlP5HQGtb/sa5TkGpbuIkVL6AxGXQq+7UXaJJtGU8m+oZFvOAmktdEuTFj7tiujc0lWe4ScTHxzSN20cZEOznihTh+wcJJXk3sRAxj44+Pl0zUk/1i1p53yRYy6tpt4uSIvtdrB6T9A4UGIQABCEAAAhlEANHPoGTRVQhAwB2Buo6C1xbGmNTUPsqZ7GijX9F3I12pLhDoRAi9bNuO0a4tcl7O9a4rc07PvU80TreiX3tBoba8OpFOp6Kf6rz1mIQnk+HaixXJGCbjV/t1N3POtFU778kunlfXdS2ciH6y3z13v+2UhgAEIAABCEAgngCiz3yAAAQiSaCuo+CJhNFIzbiPv9rkPPZkEhVl0U+25Tp2JD4moKmuwp5sYtXeym7KOYmlIfq1ZdzJNnKnop8sVu25mUyGnVyorq55Xrt9t6KfaO4nWuRB9CP5EcqgIAABCEAgwwkg+hmeQLoPAQgkJuBW9JNd6E1T9E3PY1u668pjOo/ox87ljt/ZkEg4E8l6qtu2xcZR+/7t9XlEX1P0ky0I1D4y7kf0k52eYuZT7R0BbkQ/WdxE2/cRfT6FIQABCEAAAuEjgOiHLyf0CAIQCICAG9GvS6S1RD/ROdTJhp0u0U+21TzVkeX4W7DVtXCRbMt/VEU/k4/oJ7oYYfz8jL+gIKIfwAcWISAAAQhAAAIBE0D0AwZKOAhAIDwEnJ6jX5eoOD1H382V7Q0hN7fXS3UxPiei7ORifF5F34wn1WKAKaMp+omurfDOR5OqL/yX7Ah17TE7OUc/2Zxwer5/sjZrj8EJU8NV4xz9uuZU7Z0KdfXTye+FE+bh+VShJxCAAAQgAIHMIIDoZ0ae6CUEIOCBQKJtxrEt5/HnhBsJTnbV90SCGItbewu6E5mOH0ZMcGrfvi7WZvzrdYlXqvPKnchW/OJD/NHa2Fjt9z8ZbXff9MXwGrjfbtXDcbItPNlV6c3t5Lyeo286UPvc/UR9dir6sfGZr/G7E+Kvup9qQaT2le7jY9V11X2voh/0VfdTzZfapxqkKp/q9yLV/PXwq08VCEAAAhCAQNYTQPSzfgoAAALRJhAvfWakRqb+du391WIZk5ZE91KPkal9j3Ijwt//OMO+33m8DNa+iJ2T+5THxDJ27/RYm8muDp+sn/H3ma8tzW5EKtFYTZ9GvziuWvRrMzXvOxF1U672lnAjxRf84x7Zaftecvs1I+ucjMnuLpCoz4uXLhcvR/RjHUi0dT2effw1CmILPsluP1f7egbxCymmPT/n6Cebo+b12nPFyWKMqRfrb7K5lmixoq6FqFS/F6kWAqL9CcXoIAABCEAAAjoEEH0drkSFAAQyhICf286le4hehCjVtv90j4H2oknA6/Z7p6cnRJMao4IABCAAAQjoEUD09dgSGQIQCDmBTLt/d7IjxnVhTnbl95Cnhu5lIAGnOwZiQ6t994EMHDJdhgAEIAABCISWAKIf2tTQMQhAAAKbEohtq3ZyWkDsVnmpbnsHZwgEQcDp3RdMW4muQxFEH4gBAQhAAAIQgEAVAUSfmQABCEAAAhCAAAQgAAEIQAACEIgQAUQ/QslkKBCAAAQgAAEIQAACEIAABCAAAUSfOQABCEAAAhCAAAQgAAEIQAACEIgQAUTfZzIXFpb4jED1bCHQpkUTWVe2QUrWb8iWITNOHwRaN28spRsqZe26ch9RqJotBFpZ86Xcmi9rmC/ZknJf48xv1lgqKitldQmfL75AZlHlzgV5WTRahgqBaBBA9H3mEdH3CTCLqiP6WZTsAIaK6AcAMYtCIPpZlOwAhoroBwAxy0Ig+lmWcIYbCQKIvs80Ivo+AWZRdUQ/i5IdwFAR/QAgZlEIRD+Lkh3AUBH9ACBmWQhEP8sSznAjQQDR95lGRN8nwCyqjuhnUbIDGCqiHwDELAqB6GdRsgMYKqIfAMQsC4HoZ1nCGW4kCCD6PtOI6PsEmEXVEf0sSnYAQ0X0A4CYRSEQ/SxKdgBDRfQDgJhlIRD9LEs4w40EAUTfZxoRfZ8As6g6op9FyQ5gqIh+ABCzKASin0XJDmCoiH4AELMsBKKfZQlnuJEggOj7TCOi7xNgFlVH9LMo2QEMFdEPAGIWhUD0syjZAQwV0Q8AYpaFQPSzLOEMNxIEEH2faUT0fQLMouqIfhYlO4ChIvoBQMyiEIh+FiU7gKEi+gFAzLIQiH6WJZzhRoIAou8zjYi+T4BZVB3Rz6JkBzBURD8AiFkUAtHPomQHMFREPwCIWRYC0c+yhDPcSBBA9H2mEdH3CTCLqiP6WZTsAIaK6AcAMYtCIPpZlOwAhoroBwAxy0Ig+lmWcIYbCQKRF/0rbnpExr73eXWyenbrIm+MvrFG8oaedpXMmL3Afs3t+4h+JH4P0jIIRD8tmCPTCKIfmVSmZSCIflowR6YRRD8yqUzbQBD9tKGmIQgERiDyom8kPl7szc8FbfPliTsvsyGefvGtUlhUXF3G7fuIfmBzMfKBEP3IpzjQASL6geKMfDBEP/IpDnSAiH6gOLMiGKKfFWlmkBEjEHnRr50vc4R/2i9zqsV+wLDz5ZIRJ8iwwf3tomPGTZA7HnpRxo+51/451fuIfsR+IxSHg+grwo1gaEQ/gklVHBKirwg3gqER/QgmVXlIiL4yYMJDQIFA1om+EfdePTa3j+hPmT5Lho8cJS88eI307d3Dxhv/mvm5rvdNHURfYVZGNCSiH9HEKg0L0VcCG9GwiH5EE6s0LERfCWyEwyL6EU4uQ4ssgawRfSP4RStW1TgHPwjRLyndkNGTo3JDpayYvVzWLlkra5aslhLr62rra2lxqT2uBg0a/DG+jd9Wvxb3VqNmjaRZQTPJM892zezvmxY0tX9u1LRRRjMKqvNNGjWUDRWV9pMHBFIRaJLTUCoqK6Wc+ZIKFe9bBBpb86WS+cJccEjAni/Wf+XW3wA8IOCEQF6THCfFKAMBCISIQNaIfox5/Dn5QYj+8lVVQpwJj5Jla2XZlCWy7EfrufHr0imLxfq3XvWR16GZtO7RVtps1VZa9WgjrbcyT+v7rVpLkxa5qm2HKXhza8GjbEOFlJZVhKlb9CWkBJo1zbEkX6Q0wxcTQ4o3ct0y88X6eJH1zJfI5VZjQHm5OdbCkMg65osG3kjGbNOySSTHxaAgEGUCWSf65hz8q255TH78ZLSd11Tn4Kd6P8xb9+d//Jss+mK+FE1dIkXTlsrq+cUJ53J+19bStL11JN48raPxeR1aSG6rPwTcHCWyH7EvsZ/jXitbUybritZazxJZV2g9re/XF62zf66o4w+JZp1aSKvubSTfkv/87q2thYC2kt/DfG0jjfIaR+p3j637kUqn+mDYuq+OOFINsHU/UulUHwxb99URR64Btu5HLqUMKAsIRF70jajHLqxn8mmuqm8esSv8r09JAAAgAElEQVTxR+mq+xXW4ZyZr0yTuR/Mkvkf/Calq9bXmMKNmzeRttu3l4I+Hexn2z7W99t3kBzlrfVrFq6SlbOKpPi3lbJyZpGs+m2F/fPKWStkw/rypL9mzbu0tOS/jdXX9tKuXyfr2VHabNMuY38tEf2MTV29dBzRrxfsGdsoop+xqauXjiP69YI9oxtF9DM6fXQ+SwlEXvSN2M+YvaA6vT27dalxu72Y/MfKuH0/DEf0jTT//PQUmf7091K64g+5b9e3o2xxcA9b5o3gt7K2y4ftsXpe8cZFACP/y6XYPK2FgBXWmCoTbHFv0jK3Wvrb7dhR2lsLAPnW0f9MeCD6mZCl8PQR0Q9PLjKhJ4h+JmQpPH1E9MOTi0zpCaKfKZminxD4g0DkRV872fUp+mZr/k9P/09+G/tz9TA322sL6T5kG0vwu9tHwzP5UTxnhS3+y35YbD1/t7+umrtykyE1bZsn7XfeTDbbZwvZbO8tpMMunUM5bEQ/lGkJbacQ/dCmJpQdQ/RDmZbQdgrRD21qQtsxRD+0qaFjEEhKANH3OTnqQ/SN3E8f/Z0tvrHH1if2lW3+1Fc67bG5zxGFu/raJWuqpP/7KvFfan2/dtHqGp3Obd3UFv5O1tPIv9nZEIYHoh+GLGROHxD9zMlVGHqK6IchC5nTB0Q/c3IVlp4i+mHJBP2AgHMCiL5zVglLplP0F3w2W7791+fy+5fz7b606JJvy33vU3eUvI7NfY4kc6ubawAs+mKe/D5xniz6fL6smFFYYzDmAoOb9d/Slv/N9t5S2mxbUC+DRfTrBXvGNoroZ2zq6qXjiH69YM/YRhH9jE1dvXUc0a839DQMAc8EEH3P6Koqpkv0J172vkx7/Du7TXOV/J0v3Vt6Dd/eZ++jWd1s7180ca4t/Ys+nyur5tTc7t+8c8sq6d9nS+lsHfFP1zn+iH4055vWqBB9LbLRjIvoRzOvWqNC9LXIRjcuoh/d3DKy6BJA9H3mVlv01yxaJZ/+9R1Z8Olsu6c7X7qPLfkNGjbw2fPsqW6u9G9L/4S5stAS/9pb/c3CSSdL+I30myP+LbbIV4GD6KtgjWxQRD+yqVUZGKKvgjWyQRH9yKZWbWCIvhpaAkNAjQCi7xOtpugvHD9HPvnr27JmwSpp2a217H/fYdJpz2ifg+8zHY6qF01fJr9/Pk8WmqP+1nNdYUmNeq17FVjn929un9+/+X7dpWlBnqO4qQoh+qkI8X48AUSf+eCGAKLvhhZlEX3mgFsCiL5bYpSHQP0TQPR95kBL9Kc9+Z1MvPR9u3fmFnn73X+Y5BU089lbqicisOx/izee3z9PFkycI2XFpTWKddits2y+f3fpsl9XXwstiD7zzw0BRN8NLcoi+swBNwQQfTe0KGsIIPrMAwhkHgFE32fONET/y398JFMe+sbu2fYjd5W9rj/QZy+p7obAkm8WWlv9rSP+E+bIgk/mSGVFZXX13DZNpcv+3awj/d3sry02d77NH9F3kwXKIvrMATcEEH03tCiL6DMH3BJA9N0SozwE6p8Aou8zB0GKfsmytdb5+G/JvA9+s3s14I5Bsu2f+/nsIdX9ENhQWm7L/oJPZst867nil5pX9De37utsHenvsn9X+6h/XQ9E308msq8uop99OfczYkTfD73sq4voZ1/O/Y4Y0fdLkPoQSD8BRN8n86BEv3TVenn7mJdk6beL7IvBmfPxzVXheYSLQPGs5bbwx8S/fG1ZdQcb5TW2TrPoLl0H97SevaRJq9wanUf0w5XLsPcG0Q97hsLVP0Q/XPkIe28Q/bBnKHz9Q/TDlxN6BIFUBBD9VIRSvB+U6BvJN1fWb9evowx+7ljJ69jcZ8+ong4CJmcLPq064m/O9Y9/bHFID+l6aC9b/Jt1aC6IfjoyEp02EP3o5DIdI0H000E5Om0g+tHJZbpGguinizTtQCA4Aoi+T5ZBiP5nF46Tn5/9n30/98NePV5abtHKZ6+oXh8EVi8olrnjZsrsd361xT/+0XnfrtJ76DayhSX9jTu2qI/u0WaGEUD0Myxh9dxdRL+eE5BhzSP6GZawEHQX0Q9BEugCBFwSQPRdAqtd3K/o//LcFPn0gnekQcMGcvCTw6Tb4b189ojqYSBQUrhW5r4zw5b+ue/OrNGljnt02bi9v6eYW/nxgEAiAog+88INAUTfDS3KIvrMAbcEEH23xCgPgfongOj7zIEf0V85s0he2/8/Ul5SJvvcdohs95edfPaG6mEkULp6vX2kf+H7M2Xmm79K+fry6m6aUzXsc/qtLf4F23cIY/fpUz0RQPTrCXyGNovoZ2ji6qnbiH49gc/gZhH9DE4eXc9aAoi+z9T7Ef13jntZ5n/8m/Q8djs54KEjfPaE6mEnYM7RX7O2VH5+4xeZYx3pnzNuhpQWr6/udpttC+yL+Bnx77Br57APh/4pE0D0lQFHLDyiH7GEKg8H0VcGHMHwiH4Ek8qQIk8A0feZYq+i/+1tE2XyrRPtK+wf88lfNrlCu89uUT2EBBJdjG/e+7Nk9tuW+FvSX7J0bXWvW3ZrbR3l7yndLOnn7gshTGYauoTopwFyhJpA9COUzDQMBdFPA+SINYHoRyyhDCcrCCD6PtPsRfQXjp8jbx31ot3yoOeOkS0HbuWzF1TPBAKprrq/8LM59jn9RvpXzyuuHlKzzVpU37Jvi4O6Z8JQ6WMABBD9ACBmUQhEP4uSHcBQEf0AIGZZCEQ/yxLOcCNBANH3mUa3ol9ZUSmv9H9CVvxSKDteuKfsdvW+PntA9UwhkEr048exeNKCqgv5Wef2r5hRWP1WXvtm1gUbt5buR2wtXfbvlilDp58eCCD6HqBlcRVEP4uT72HoiL4HaFleBdHP8gnA8DOSAKLvM21uRT+2Zb/TnpvLkW+e5LN1qmcSATeiHz+uZT8srjrSbz2Lflxa/VazTi3suzSYZ5d9kf5MmgtO+oroO6FEmRgBRJ+54IYAou+GFmUNAUSfeQCBzCOA6PvMmRvRX/v7anl+54elonSDHPbK8RyR9ck+06p7Ff34cRZOWSK/vfmLzH7rZ1n+0x9H+pt3bmkf5TfSzzn9mTYzEvcX0Y9GHtM1CkQ/XaSj0Q6iH408pnMUiH46adMWBIIhgOj75OhG9L8a9an8cM8k6XHUtnLQo0N8tkz1TCMQhOjHj3np97/LnLd+tcV/xa9/SL+5wGN3a3t/N0v8zc4RHplJANHPzLzVV68R/foin5ntIvqZmbf67DWiX5/0aRsC3ggg+t64VddyKvqVlZXyzLb3ybrCEnvLPgLmE3wGVg9a9OMRLJm80DrK/6v9XDmzqPqt/K6tpfvQbaTnMdtJ2z7tM5Ba9nYZ0c/e3HsZOaLvhVr21kH0szf3XkeO6HslRz0I1B8BRN8ne6ei/9PT/5PxfxtnCz7n5vuEnqHVNUW/hvR/vdA+yv/bW7/Iqtkrqt/quFsXezfJVkf3lrx2zTKUYvZ0G9HPnlwHMVJEPwiK2RMD0c+eXAc1UkQ/KJLEgUD6CCD6Plk7Ff03Bj8jS75ZKPvde6hsfWJfn61SPRMJpEv049ks+mKezHx1usx8fbqUrlxf/ZY5n99If4+h22YiyqzoM6KfFWkObJCIfmAosyIQop8VaQ50kIh+oDgJBoG0EED0fWJ2IvqLJs6VN4e+IM06NJeTp53ns0WqZyqB+hD9eFZG9me+Nt26ev+M6pdz2zaVnkdvJ1sd1Vs67tElU9FGst+IfiTTqjYoRF8NbSQDI/qRTKvqoBB9VbwEh4AKAUTfJ1Ynov/xiDdlxivTZKdL9pZdr+jvs0WqZyqB+hb9GLeSxWtkxqvT7KP8S7/7vRpnm+3a2cJvxL9l11aZijky/Ub0I5PKtAwE0U8L5sg0guhHJpVpGwiinzbUNASBwAgg+j5RphL91QuK5fl+D9mtDP/2HGm5JQLlE3nGVg+L6McDXPbDYvso/4zXpsnaRaur39riwO7V5/Pn5DbKWOaZ3HFEP5Ozl/6+I/rpZ57JLSL6mZy9+uk7ol8/3GkVAn4IIPp+6Fl1U4n+5H9NlG+tpzlSeuCjR/psjeqZTCCMoh/Pc867M2TWaz/ZR/orKyrtt4zkm4v3mfP5jfzzSB8BRD99rKPQEqIfhSymbwyIfvpYR6UlRD8qmWQc2UQA0feZ7VSi/9wOD8qahavksFePly77dfPZGtUzmUDYRT/GtnTVekv2LeG3LuJnri8Re5jt/LHz+c02fx66BBB9Xb5Ri47oRy2juuNB9HX5RjE6oh/FrDKmqBNA9H1muC7RN+dBf3zOm9J+x04y7INTfbZE9UwnkCmiH895xa+FtvSbI/0rZhRWv2Uu3Bc7n99c0I9H8AQQ/eCZRjkioh/l7AY/NkQ/eKZRj4joRz3DjC+KBBB9n1mtS/Q/PGuszLIkaa8bD5Ltz9nFZ0tUz3QCmSj68cwXTZhrX8Rv1us/S+nquFv1Dd1Geh6znXQ7rFempyhU/Uf0Q5WO0HcG0Q99ikLVQUQ/VOnIiM4g+hmRJjoJgRoEEH2fEyKZ6JtznEd3/beUl5TJ8MnWRfi4irlP0plfPdNFP5aBig0V9gKWuYjf3PdmVicmr2NzW/i3Oqa3tO/XKfMTVs8jQPTrOQEZ1jyin2EJq+fuIvr1nIAMbB7Rz8Ck0eWsJ4Do+5wCyUR//ie/yTvHviwdduksQ9/9k89WqB4FAlER/fhcmOtP2Fftt24fWTh1SfVb7XfZzD6fv+ex20nTgrwopC/tY0D00448oxtE9DM6fWnvPKKfduQZ3yCin/EpZABZSADR95n0ZKIfu9p+33N3kz1HHeCzFapHgUAURT8+L0u+Xmhv7Tfiv66opPqt7kM2bu0/nK39buYxou+GFmURfeaAGwKIvhtalDUEEH3mAQQyjwCi7zNnyUT/7WNekgWfzpaDRw+T7kds7bMVqkeBQNRFPz5HZmu/kf4542ZUv9ysQ3PZyjrCb27XZy5QyaNuAog+M8QNAUTfDS3KIvrMAbcEEH23xCgPgfongOj7zEEy0X9y87ukfF2ZnDz9PGnWvrnPVqgeBQLZJPqxfK1dtLrqKL91q75lUxZXp7H9zptJr+P6SK8T+kiT/NwopDfwMSD6gSONdEBEP9LpDXxwiH7gSCMfENGPfIoZYAQJRF70T7/4Vpn07fTq1PXs1kXeGH1j9c9X3PSIjH3v801S++Mno6tfG3raVTJj9gL759r1E4n+4q8WyNjDnpW2vdvJMeNPj+C0YUheCGSj6Mdzim3tn/HaNFlftM5+q2GjhtJr+Pa28G+21xZesEa2DqIf2dSqDAzRV8Ea2aCIfmRTqzYwRF8NLYEhoEYg8qI/YNj5Mn7MvdUAzc/9d+8rN195tv2aEf1pv8ypIf/xtM1CQWFRcfX7RvoL2ubLE3deZhdLJPr/u+8rmfTPT2TbP/eTAXcMUksegTOLQLaLfny2Zr4+XX59YarM+/C36pfb9esoWw/vy1H+jUQQ/cz6/a7v3iL69Z2BzGof0c+sfIWht4h+GLJAHyDgjkDkRb82jtpin0r0zcLAJSNOkGGD+9uhxoybIHc89GL14kEi0X/vlNdkzjszZP8HDpdex/dxlxFKR5YAor9palf8WmgJ/4/yiyX9axevtgtwlL+KE6If2Y8ClYEh+ipYIxsU0Y9satUGhuiroSUwBNQIZJ3omyPy223dtcYR/fit+21bt6yW+CnTZ8nwkaPkhQevkb69e9hJqP1aItF/ept7ZV1hiZww+WzJ79paLXkEziwCiH7d+eIof00+iH5m/X7Xd28R/frOQGa1j+hnVr7C0FtEPwxZoA8QcEcgq0Q/dj5+/Pn3tXGZhQDzMOfxOxH9wuL1NUIsm7pYXtjnSWllCf4p/xvhLhuUjjSBFnmNpbS8QkrLNkR6nH4HV/TzMvn/9t4EzqrqzNd+mWdklBkKpICiqpgRRYizcYiKmijREFGRaNIkHdPdmthtf21/Gr038eY26WgcUVsbTUdR04kxpjURJ2YooJhHEWQelBnq7r3gHAuo4eyz1p7Wes69/NKe2uvd633+S+Rh7WHJiwtlqbfL/8WmL3f5+91YIv28S/s7n+PGvfzNG9eXQ0cr5MBB1ovumnJhfDNvvRzx1st+1osLcWv32LRRfanw/t++A/z+og3TkQJteXCuI0nTpk0EnBH9yU+9Io89//oJu/NVBelfmn/vQ0+K/5cBuYj+gUNHTygz57FZ8tb3/yDFN5bKld6r9fhAIEOgQb06crSiwvvDOExyJbD45UWy8Pn5suqPK7NDOnpP7C8dN1BKxg2QRhb/waO+t1685aLkjQ8EaiPAeqmNED+vTID1wnoISqBRg7pBh3A8BCAQMwEnRD+XnfxMDpVF3/8u6D3673znd+p1YqN+dokUjR8Uc7ycPkkEuHQ//zR2LNuq7uVf/tIiZ+7l59L9/NeLiyO5dN/F1PPvmUv382fn6kgu3Xc1efpOMwHrRb/ypfhVBVXVU/kLe3XNPlU/6FP3pw7+texZv0uu++st0qZ/+zSvDeZumACibwZojffyjy2Whi0amTlRzFUQ/ZgDSNnpEf2UBRbzdBH9mANI4ekR/RSGxpSdJ2C16Gcuva8q5QfumaCepO//RcCKNRuyh4wYUpSV/MyXlY/pXdDlhFfxVX4Y3xef7pEXBzwqjds2kXFLJzm/uABwIgFE3+yK2Llsm3pav627/Ii+2fViezVE3/aEzfaH6Jvl6UI1RN+FlOnRNgJWi34UYVUW/fVvr5Y3x/5GOo3qLl+bNjaK03OOFBFA9MMLy8ZdfkQ/vPViY2VE38ZUw+sJ0Q+Pra2VEX1bk6Uvmwkg+prpVhb9+ZM/lhn/8hcpmThUzn7wQs3KDLeNAKIffqI17fL3GVsiHc/qGv4kDJ0B0TcE0pEyiL4jQRtqE9E3BNKhMoi+Q2HTqjUEEH3NKCuL/vS/f0vKn5knI396kRTfPkSzMsNtI4DoR5toVbv87Qd1lEJP+H3pb9C8YbQTCng2RD8gMMcPR/QdXwAB20f0AwLjcEH0WQQQSB8BRF8zs8qi/+bY/5L1b6+SS/7jWulxaW/Nygy3jQCiH0+i2Sf2e/fz7938hZpEHe81QX092S+8Ibm7/Ih+POslrWdF9NOaXDzzRvTj4Z7msyL6aU6PubtKANHXTL6y6P/XqKdkx5Jtct1fvCfuF/PEfU201g1H9OOPdOUr5d4D/Mrkk/9Zk51M+8EdvR3+Um+nv1gaNEvOLj+iH/96SdMMEP00pRX/XBH9+DNI2wwQ/bQlxnwh4G1sVXgfQORPoLLoT+nxCzn0xUG5eeUPpOFpdrziK38yjDyZAKKfnDWxY+lWWT51kZL+fVv2qonVbVhP+txQLH1vGiCnD+sc+2QR/dgjSNUEEP1UxRX7ZBH92CNI3QQQ/dRFxoQhgOjrroGM6O/ftk+e7ztZGrVqLN9e8X3dsoy3kACin8xQV/x2sZL+T95ZnZ1g59E9pN+3B8gZ1xTFNmlEPzb0qTwxop/K2GKbNKIfG/rUnhjRT210TNxhAuzoa4afEf0t8zbJtIuek7Ylp8u1747XrMpwGwkg+slOdfsSb5f/PxfKkufmy8E9B9RkWxa0VsJf9O1B0rBVtFfpIPrJXi9Jmx2in7REkj0fRD/Z+SRxdoh+ElNhThComQCir7lCMqK/+o1l8vYt06THZb3lkuev1azKcBsJIPrpSPXowSNS7sn+kufny/ZFW9Sk69Sr4wn/QPWrXWmHSBpB9CPBbM1JEH1rooykEUQ/EsxWnQTRtypOmnGEAKKvGXRG9Mt+NVM+uu8dKZk4VM5+8ELNqgy3kQCin75U1721UsqfnSfr/rgyO/luF/VSwl9weWGoDSH6oeK1rjiib12koTaE6IeK18riiL6VsdKU5QQQfc2AM6L/4U/+LAsfny1n3X++lH53uGZVhttIANFPb6o7Fm/1dvnneZf1L5AjBw+rRlr3bXd8l3+A1G/SwHhziL5xpFYXRPStjtd4c4i+caTWF0T0rY+YBi0kgOhrhpoR/bfGvSJr/7BCLnpmjPS8so9mVYbbSADRT3+q/r37S59f4O3yz5ddK7erhho0baju4/d3+Vv1aWusSUTfGEonCiH6TsRsrElE3xhKZwoh+s5ETaMWEUD0NcPMiP4r502RbQs3y5i3vy3tB3XUrMpwGwkg+naluvr1pepe/g3vrsk2VnBFoSf8g6TbhT21m0X0tRE6VQDRdypu7WYRfW2EzhVA9J2LnIYtIIDoa4aYEf3nev+bHNi5X8YtnSSN2zbRrMpwGwkg+jamKrJ57kZZqh7etyDbYLsBHbIP76tTt05ejSP6eWFzdhCi72z0eTWO6OeFzelBiL7T8dN8Sgkg+prB+aJ/cNcBefaM/ysNmjWU8Wv/VrMiw20lgOjbmuyxvvZ7vxcs8R7c5wv/nvW71HeNWjdWr+br613a37JHq0AAEP1AuJw/GNF3fgkEAoDoB8LFwR4BRJ9lAIH0EUD0NTPzRd9/Bddvz31G2vRrJ9dNv1WzIsNtJYDo25rsqX0t/80ib5d/gWz8cH32h2dcW+RJ/0DpNKp7TiAQ/ZwwcdBxAog+SyEIAUQ/CC2O9Qkg+qwDCKSPAKKvmZkv+mvfXCFvfesV8V+7denUr2tWZLitBBB9W5Otvq9NH33iPal/vix/eVH2oNOHd1bC3+ebpTUCQfTdWy86HSP6OvTcG4vou5e5bseIvi5BxkMgegKIviZzX/QXPTFHPvjx21J0yyAZ9b8v0azIcFsJIPq2Jlt7X59v2K0u6fcv7d+3Za8a0LRjc3Ufvy/9/v998gfRr50rR3xJANFnNQQhgOgHocWxPgFEn3UAgfQRQPQ1M/NF/6P73pGyX82UM+87VwZ+f4RmRYbbSgDRtzXZYH0t/Q/v9XzeLv+WORuzA/3dfV/4/d3+zAfRD8bV9aMRfddXQLD+Ef1gvDga0WcNQCCNBBB9zdR80X/7ttdk9WtL5YInrpQzrinSrMhwWwkg+rYmm19fG/6yRu3yr5q2JFvAv3/fF37/fn5EPz+uro5C9F1NPr++Ef38uLk8ih19l9On97QSQPQ1k/NF/3dXT5WN76+TK169QTqP7qFZkeG2EkD0bU1Wr6/dq3dI+bP+6/nmqzd4+B//Cf2DJgyWfjcPlIqmDfVOwGgnCCD6TsRsrElE3xhKZwoh+s5ETaMWEUD0NcP0Rf+3o5+W7eVb5bq/3CJtittrVmS4rQQQfVuTNdPX0UNHvAf3+Zf1z1Nv8vA/derWUffx+7/aDehg5kRUsZIAom9lrKE1heiHhtbawoi+tdHSmMUEEH3NcH3Rf6HkV7J30+dy08LvVvlQLc1TMNwSAoi+JUFG0Mb6P62SFS8skBW/W5Y9W7cLe3rCP0gKriiMYAacIm0EEP20JRbvfBH9ePmn8eyIfhpTY86uE0D0NVeAL/pTCn4hhz4/KDev/oE0bNFIsyLDbSWA6NuabDh9+ffobyzbLHOfmK12+o8cOKxO1KpP2+zT+us3bRDOyamaOgKIfuoii3XCiH6s+FN5ckQ/lbExaccJIPqaC8AX/Sfa/y+RCpEJm/9eXWrLBwJVEUD0WRdBCFR+GN/Bzw/IUnVZ/3zZtWK7KlO/SQNP+Aco6W/dt12Q0hxrIQFE38JQQ2wJ0Q8RrqWlEX1Lg6Utqwkg+prxrl2/S6Z0/4X6Q/ct63+oWY3hNhNA9G1O13xv1T11f/Uby2Sp9+C+9f+zOnvSgssLlfB3u6iX+YlQMRUEEP1UxJSYSSL6iYkiNRNB9FMTFROFQJYAoq+5GFYs2SovFP27NG3fTG4q/55mNYbbTADRtzld873V9nq9LfM2ebv8/tP6F0hFhXdJkfdpV9pBCX/fcQOkbv265idFxcQSQPQTG00iJ4boJzKWRE8K0U90PEwOAlUSQPQ1F8bS2Rtl6rDHpWVBa7lh1u2a1RhuMwFE3+Z0zfdWm+hnzrjfu33If1L/Uk/496zbpb5u2KqRFHkP7ivypL9FQSvzk6Ni4ggg+omLJNETQvQTHU8iJ4foJzIWJgWBGgkg+poLZOFf18lvz31GvVbPf70eHwhURwDRZ20EIZCr6Feuufy/Fql7+Td+sD77da9r+inh7zy6R5DTc2zKCCD6KQss5uki+jEHkMLTI/opDI0pO08A0ddcAnN/v0Jev+IF6TCii1z13zdpVmO4zQQQfZvTNd9bPqKfmcVnH29QD+5b/tLC7MROH9ZZCX+fG0vNT5aKsRNA9GOPIFUTQPRTFVciJovoJyIGJgGBQAQQ/UC4Tj14xm/K5Q/XvyxdLyiQy16+XrMaw20mgOjbnK753nREPzObLz7do+7hX/LsPNm7+Qv1dZMOzbKX9Tft1Nz8xKkYCwFEPxbsqT0pop/a6GKbOKIfG3pODIG8CSD6eaM7NvD9Z+bJ27e+Jj2v7CMXPTNGsxrDbSaA6NucrvneTIh+5VktfcETfk/6N8/6NPt14dgS6ec9uK/jiK7mG6BipAQQ/Uhxp/5kiH7qI4y8AUQ/cuScEALaBBB9TYTv/nKG/GXSH8T/A/N5v7xcsxrDbSaA6NucrvneTIt+ZoYb/rpGCf+qV5dkJ93pnO7e0/oHSO/r+ptvhIqREED0I8FszUkQfWuijKwRRD8y1JwIAsYIIPqaKP/08PvywT1vS/GEITLyoYs0qzHcZgKIvs3pmu8tLNHPzHTPmp1S/qz/er75cmDnfvV1i+6nqdfz9Rs3UBq3bWK+KSqGRgDRDw2tlYURfStjDbUpRD9UvBSHQCgEEH1NrL+/7x2Z+a9/lUE/OEuG/9NXNKsx3GYCiL7N6ZrvLWzRz8z46OGjssR7cJ//a9vCzce+riNS5Ml+v5sHSbuBHcw3R0XjBBB940itLojoWx1vKM0h+qFgpSgEQiWA6Gvife1Hb8m8Rz6U4T8ZLRUdaIIAACAASURBVIPuOluzGsNtJoDo25yu+d6iEv3KM1//9ipvl3+erP3DiuzX/oNG+317kPT8Wh/zTVLRGAFE3xhKJwoh+k7EbLRJRN8oTopBIBICiL4m5t9+53ey8PHZcvYDF0rJd4ZqVmO4zQQQfZvTNd9bHKKf6WLHkm3eJf3z1KX9R/YfVl+3KmyrHtzX7+aB0qBZQ/MNU1GLAKKvhc+5wYi+c5FrN4zoayOkAAQiJ2C96N9618Py8ZzyLNjeBV3ktSkPnAD66vH3yoo1G9R3QX8+9Vuviv8066/84lLp+60BkQfICdNDANFPT1ZJmGmcop/p/9AXB2Xpc8ee1r9j2Vb1df3GDdSD+/p6l/a3KWqXBFTMwSOA6LMMghBA9IPQ4lifAKLPOoBA+ghYL/qjx0yS96ZNzibj//OoM0vlpz+ZqL7z/yJg2/bdWfn3pb9tm5by9CN35/Tz5695SVZNWyIXPnGV9LqmX/pWADOOjACiHxlqK06UBNGvDHL175bJUu/Bfev/vDr7dY/LekuRd1l/t4t7WcE8zU0g+mlOL/q5I/rRM0/7GRH9tCfI/F0kYL3onxzqjx98XBYvW5sVe1/8f3THDTLm0lHq0GlvTpefP/ZS9i8Havv50xc/L/59rV/9z+uk+8VnuLiG6DlHAoh+jqA4TBFImuhnYtkyf5N6cN9Sb5e/4miF+rpNcXsp8h7c51/aX7dBPRKMgQCiHwP0FJ8S0U9xeDFNHdGPCTynhYAGAedE39+x79+nh9rRLytfJWPvvF+mPnqflBYd25Gq/J3/zzX93B/z+MinZeOH6+WK18dK55HdNaJgqO0EEH3bEzbbX1JFP9Plge37pfy5eer1fHvW7lJfNzytkXo1X5F3H3/Lnq3NAqFajQQQfRZIEAKIfhBaHOsTQPRZBxBIHwGnRN/fzX/9rQ9k0btTTpH6fEX/10Mel01zN8ptM2+XjoM7pW8FMOPICNSrW0eOVlSI9//5QKBWAnXriloraVgvi6YulLlPzJG1f1mT7av/N4pl8O1DpOCCnrX2ygH6BPz1It56OX6RhX5BKlhNgPVidbyhNFe/nvfeVT4QgECqCDgj+pOfekUee/71anfv8xX9X/T+N9m1cod80xP9Vr3bpCp8JhstAX8H5aD3zvL9B49Ee2LOlkoCLZs0kEOete07cOyp92n4bJqxQT2pf8mLZdnpdhjWWfrf4l3Wf2NpGlpI7RxbeOvlcMrWS2phWzDx5t5DNY96fzO09/hbNSxoiRZCJnB6q8Yhn4HyEICAaQJOiP7JO/mVIdZ2D35tP/9fHX8m+z77Qm5a+F1p2rG56XyoZxEBLt23KMwIWkn6pfs1Ifhi4x71pH7/Xv69mz5Xhzbv0lJd0t/Pu5e/cdsmERB06xRcuu9W3rrdcum+LkH3xnPpvnuZ03H6CVgv+v49+f7n5FfqZaLTfer+gy1+Koc+Pyg3r/6BNGzRKP0rgg5CI4Doh4bWysJpFv3KgfjCv9QT/s3eLU7+p453C0s/T/j7jx+sHuLHxwwBRN8MR1eqIPquJG2uT0TfHEsqQSAqAlaLfubBelXBfOCeCdkn7ft/GbBizQZ1WO+CLqf8pUBNP7+/7v3ePbQVMmHz36s/wPKBQHUEEH3WRhACtoh+pud13ttJfOFf8/vlWQw9LvVezzfeez3fRbyeL8jaqOpYRF+XoFvjEX238jbRLaJvgiI1IBAtAatFPwqU/1LnX6RB04Yyft3fRnE6zpFiAoh+isOLYeq2iX4G4fZFW449rd+7l/+o98wK/9NuQAfp5wl/0bcHxkDajlMi+nbkGFUXiH5UpO05D6JvT5Z04g4BRF8za1/0m7RvKt8q/xvNSgy3nQCib3vCZvuzVfQzlPZv36fu4S9/dp58vn63+rpZlxZScvtQ6T9hsNT3HhbGJ3cCiH7urDhSBNFnFQQlgOgHJcbxEIifAKKvmYEv+i0KWsnYWRM1KzHcdgKIvu0Jm+3PdtGvTGv5Swtl0dNzZcvsY/fxN2jZ0BP+YVLsvZ6vSbumZsFaWg3RtzTYkNpC9EMCa3FZRN/icGnNWgKIvma0vui36tNWvvHBbZqVGG47AUTf9oTN9ueS6GfIrX1zhSx6co5seHfNsa+8x574O/y+8Lfs2dosYMuqIfqWBRpyO4h+yIAtLI/oWxgqLVlPANHXjNgXff/J0df95RbNSgy3nQCib3vCZvtzUfQzBDe+v04J/+o3lmWh9vlmqRJ+/35+PqcSQPRZFUEIIPpBaHGsTwDRZx1AIH0EEH3NzHzRbz+oo4x5+9ualRhuOwFE3/aEzfbnsuhnSG5d8JksfnKuLH1xQRZuz6/1UcLf6ZzuZoGnvBqin/IAI54+oh8xcAtOh+hbECItOEcA0deM3Bf904d3lqv/8C3NSgy3nQCib3vCZvtD9L/kuXv1DiX8C5+YLRVHK9QPupxboITff0UfHxFEn1UQhACiH4QWx/oEEH3WAQTSRwDR18zMF/2OZ3WVK393o2YlhttOANG3PWGz/SH6p/Lct3WvLHpijndZ/2w5uOuAOqD9kE5K+Au/UWw2gJRVQ/RTFljM00X0Yw4ghadH9FMYGlN2ngCir7kEfNHvNLKbfO31b2pWYrjtBBB92xM22x+iXz3PIwcOHxf+OfL5J8dezdeqsK0S/v63DjYbREqqIfopCSoh00T0ExJEiqaB6KcoLKYKgeMEEH3NpeCLfufRPeSKV2/QrMRw2wkg+rYnbLY/RD83nkuena92+LeXb1UDmnZsroTff1p//aYNcitiwVGIvgUhRtgCoh8hbEtOhehbEiRtOEXAqOj/+MHH5fW3PqgS4FWXjJSf/sS+d837ou/fK3r5b693auHQbHACiH5wZi6PQPSDpb/ylXL1pP7PZmxQAxs0a5gV/iYdmgUrlsKjEf0UhhbjlBH9GOGn9NSIfkqDY9pOEzAi+rfe9bB8PKdcgVz07pQqgRafN159P2JIkTz9yN3WQPdFv+sFBXLZy4i+NaGG1AiiHxJYS8si+vkFu/5Pq9QO//o/r84W6H/bYLXDf1rvNvkVTcEoRD8FISVoioh+gsJIyVQQ/ZQExTQhUImAtuj7At+mVQt5b9rknMCOHjNJtu/cU+1fCORUJEEH+aLf7aJecunUrydoVkwliQQQ/SSmktw5Ifp62Wz66BO1w79q2pJsocLri71d/qHSfnBHveIJHI3oJzCUBE8J0U9wOAmdGqKf0GCYFgRqIKAt+v5uftAd+nzGJDVFX/S7f/UM+eoL1yV1iswrIQQQ/YQEkZJpIPpmgtq+aIt6Ld/S/1iQLdjjst5qh7/zV3qYOUkCqiD6CQghRVNA9FMUVkKmiugnJAimAYEABLRFP8C5rDzUF/2Cywvl4ueusbI/mjJHANE3x9KFSoi+2ZT3rN0lC71L+hc/OVeOHjqiinca1V0Jf8EVhWZPFkM1RD8G6Ck+JaKf4vBimjqiHxN4TgsBDQJGRd+/jP+BeybImEtHnTClyU+9Ii+/8U7Ol/dr9BP5UF/0e13ZVy585urIz80J00UA0U9XXnHPFtEPJ4ED2/cfF/45sn/7PnWSdgM7KOEvHFsSzkkjqIroRwDZolMg+haFGVEriH5EoDkNBAwSiET0p705Xe596Elr7suvzN8X/Z5X95WLnkL0Da5LK0sh+lbGGlpTiH5oaFXhowePqHv4Fz81V3av3am+a9mrtRJ+//V8afsg+mlLLN75Ivrx8k/j2RH9NKbGnF0nEIno+6/dmz6jzNod/TOuKZILnrjS9bVE/7UQQPRZIkEIIPpBaOkdu+T5Bd4l/XNk26LNqlDT05tJ8YQh0t8T/oYtGukVj2g0oh8RaEtOg+hbEmSEbSD6EcLmVBAwREBb9DO79bXNp6pL+msbk4af+zv6vb/eX85/7GtpmC5zjJEAoh8j/BSeGtGPPjT/Cf3+PfwbP1qvTl6/SQMl/P4Of7POLaKfUIAzIvoBYHGoIPosgqAEEP2gxDgeAvET0Bb9yi1Ud49+/G2GNwNf9AtvKJHz/v3y8E5CZSsIIPpWxBhZE4h+ZKhPOdH6P69WO/zr/rQy+7Oi8YOU8Lfu2y6+idVwZkQ/kbEkdlKIfmKjSezEEP3ERsPEIFAtAaOi7yJnX/T73Fgq5/7bZS62T88BCCD6AWBxqCD68S+Cz2ZskEVPzJGVr5ZnJ9P7uv5K+E8f1jn+CVaaAaKfqDgSPxlEP/ERJW6CiH7iImFCEKiVAKJfK6KaD/BFv9+4ATL6/1yqWYnhthNA9G1P2Gx/iL5ZnjrVtpdvlcVPzJby5+Zny/T4am/pP2GwdD2/p05pY2MRfWMonSiE6DsRs9EmEX2jOCkGgUgIaIv+rXc9LE8/cnegyeYzJtAJIjzYF/2ibw+UUY98NcKzcqo0EkD005hafHNG9ONjX92Z96zfpe7h95/Wf+TAYXVY55HdlfD3vKpvrBNG9GPFn7qTI/qpiyz2CSP6sUfABCAQmIC26Pv35bdp1SLnJ+qPHjNJtu/cY82r9pTo3zJIRv3vSwLDZ4BbBBB9t/LW7RbR1yUY3vgDO/ere/h94d+3da86UbvSDkr4+940ILwT11AZ0Y8Fe2pPiuinNrrYJo7ox4aeE0MgbwLaou+f2d+h/3jOsXsYF707pcrJ+H8h4H9GDCkKfAVA3t1FMNAXff+pzCMfuiiCs3GKNBNA9NOcXvRzR/SjZx70jEePHFU7/Au9y/r3rNmphrcsaK2Ev+T2oVKnXp2gJfM+HtHPG52TAxF9J2PXahrR18LHYAjEQsCI6GdmPvmpV+Sx51+vspE7xl0lk267NpYmwzypL/ol3xkqZz9wYZinobYFBBB9C0KMsAVEP0LYBk617MUyJfzbyjarak3aNj0u/MOkYatGBs5QcwlEP3TEVp0A0bcqzkiaQfQjwcxJIGCUgFHRNzqzlBTzRb/0u8PlrPvPT8mMmWZcBBD9uMin87yIfjpzW/3GMu9J/bNl4wfrVQP1GtZXT+n3r/xq3q1laE0h+qGhtbIwom9lrKE2heiHipfiEAiFAKKvidUX/QF/c6aM+P/O06zEcNsJIPq2J2y2P0TfLM+oq214d43a4V/3x5XZU/sPbu3vCX+b/u2NTwfRN47U6oKIvtXxhtIcoh8KVopCIFQCRkQ/c8l+VZfn1/SzUDuLqLgv+oN+cJYM/6evRHRGTpNWAoh+WpOLZ96IfjzcTZ91y+yNSvhX/NfibOkzrilSl/V3HNHV2OkQfWMonSiE6DsRs9EmEX2jOCkGgUgIGBH9q8ffK23btKz2IXv+w/q2bd8tr015IJKmojyJL/qDf3i2DLt3dJSn5VwpJIDopzC0GKeM6McIP4RT71i6VT2lv/yZednq3S7qpXb4u3v/q/tB9HUJujUe0XcrbxPdIvomKFIDAtESMCL6/hP1H7hngoy5dFSVs5/25nS596EnrXmlXuUmlej/3UgZdk/VvUcbJ2dLMgFEP8npJG9uiH7yMjExoy8+9V4v67+a74k5cnjfIVWy41ldpf9tg8Xf6c/3g+jnS87NcYi+m7nrdI3o69BjLATiIYDoa3L3RX/oP5wjQ7xffCBQEwFEn/URhACiH4RW+o49uOeAEv7FnvDv3fyFaqBNcXvvoX1Dpd+4AYEbQvQDI3N6AKLvdPx5NY/o54WNQRCIlYAR0R89ZpL86I4batzR//ljL8l70ybH2mwYJ/dFf9iPR8ngH40Mozw1LSKA6FsUZgStIPoRQE7IKTI7/LtWblczatH9NPWUfv9X3Yb1cpolop8TJg46TgDRZykEJYDoByXG8RCIn4AR0f/xg4/L4mVrq70Hv7Z7+OPHkP8MfNEf/o9fkUF/e1b+RRjpBAFE34mYjTWJ6BtDmZpCy19aqC7p3zJvk5pzo9aNvVfzDZXi24ZI47ZNauwD0U9NzImYKKKfiBhSNQlEP1VxMVkIKAJGRN8v5O/q+5+Td+3977fv9O5JfHeKlch90T/zn8+VgZNGWNkfTZkjgOibY+lCJUTfhZSr7nHN75cr4f/0vbXqgLr160r/24/t8Lfs0arKQYi+u+sln84R/XyouT0G0Xc7f7pPJwFjou+37+/sv/7WByeQGDGkqNqn8acT2Ymz9kV/xL+cJwO+d6YN7dBDiAQQ/RDhWlga0bcw1IAt+aLvC78v/plP328NUMLftuT0E6oh+gHhOn44ou/4AsijfUQ/D2gMgUDMBIyKfsy91Hj6yU+9Ii+/8c4pVxxU9ZcTfqHKVyD4tx6sWLNB1e9d0OWEWxR80T/7Xy+QkjuHJbl95pYAAoh+AkJI0RQQ/RSFFfJUN8/dKIufnCv+pf2ZT8+r+yrh73R2N/UVoh9yCJaVR/QtCzSCdhD9CCBzCggYJmC96Gde7edza9OqRZWiX9PzBW6962HZtn13Vu5Pft6AEv0HL5SSiUMNR0M52wgg+rYlGm4/iH64fNNYfeeKbUr4/Yf3ZT5dLyiQktuHScmYvnL4SIV8sf9wGltjzhETQPQjBm7B6RB9C0KkBecIWC/6mURr2tGvSfRPfqOA/xcHld8g4Iv+OQ9frN6BzAcCNRFA9FkfQQgg+kFouXXs3s8+V8K/8InZcujzg6r5ziO6yMA7hkvXK/u4BYNu8yKA6OeFzelBiL7T8dN8Sgkg+ic9V6Dyrn9Z+SoZe+f9MvXR+6S0qJeK+OTvfNEf9bNLpGj8oJQuAaYdFQFEPyrSdpwH0bcjxzC7OLT3YFb49278XJ2qdb+2aoe/380Dwzw1tVNOANFPeYAxTB/RjwE6p4SAJgHnRf9kfv6l+f7ntSkPnCL11Yn+RZMvl5JbEH3NtWj98KaN6skh79LaQ4ePWt8rDeoTaOK9P/1IRYUcPMR60adpf4XyZ+bJrH+fIduWbFXNNu/aQgZ7O/wDvzNU6jdpYD8AOgxEoLH3+0uF9/vLAX5/CcTN5YP954DwgQAE0kUA0T8pr8w9/f7D+HLd0b/k0StkADv66Vr5Mcy2UQNP3I4eVffR8oFAbQQaNajrrRfx1guiXxsrfi7S0FsvFd5SWfDCApnzq5myceanCkvD0xrJ0DuHy6A7h0qz05uDCgLH1oX3ykb/v0T8xTMLIlcCzRrXz/VQjoMABBJCANGvQfT9H+Vyj/65ky+TPt8sTUikTCOpBLh0P6nJJHNeXLqfzFySOquTn7q/9s0V6qF9G95dc2zKdcS7pH+o9J8wWE7r1SapbTCviAhw6X5EoC06DZfuWxQmrThDwHnR90X+vWmTs4H7/1zYq6s8/cjd6rtcnrp/3q+ukMLri51ZNDSaHwFEPz9uro5C9F1NPr++q3u93sb31ynhX/3Gsmxh/y+mi28fIu0GdMjvZIxKPQFEP/URRt4Aoh85ck4IAW0C1ot+5dfrZWhddclI+elPJqp/9O/JX7FmQxbkiCFFWcnPfFn5mN4FXbKv2vN/7j+M7/xff016X9dfOwwK2E0A0bc7X9PdIfqmidpdrzrRz3S9dcFnSviXvViWBdHza32U8Hc6p7vdcOjuFAKIPosiKAFEPygxjodA/ASsF/2wEfuif+ETV0mva/qFfSrqp5wAop/yACOePqIfMfCUn6420c+0t3v1DiX8i56Y493Tf+x5IV3OLVDC3+PS3imnwPRzJYDo50qK4zIEEH3WAgTSRwDR18zMF/2Lnr5ael7VV7MSw20ngOjbnrDZ/hB9szxtr5ar6Gc47Nu697jwz5aDuw6or9sP6aSEv/Ab3Ipm+3pB9G1P2Hx/iL55plSEQNgEjIp+8Xnj5YF7JsiYS0edMO/JT70iL7/xzgn3wofdWFT1lehPGSP+JZB8IFATAUSf9RGEAKIfhBbHBhX9DLEjBw5nd/g//2S3+rpVYVsl/P1vHQxYSwkg+pYGG2JbiH6IcCkNgZAIRCL6lV9ZF1IfsZX1Rf/i56+RgssKY5sDJ04HAUQ/HTklZZaIflKSSMc88hX9yt2VPztPFnuX9W8v36q+btqxuRL+4glDpEGzhukAwSxzIoDo54SJgyoRQPRZDhBIH4FIRP/HDz4u02eUWbuj/9UXr5Pul5yRvvSZcaQEEP1Icaf+ZIh+6iOMtAETop+Z8IpXFnvCP1c+m3HsQbUNmzdSr+XzX8/XpEOzSPviZOEQQPTD4WpzVUTf5nTpzVYC2qJf1VPtq4JV1SX9NkD1d/QvnfoN6XZRTxvaoYcQCSD6IcK1sDSib2GoIbZkUvQz01z3p5Vqh3/9n1dnZ97/tmPCf1rvNiF2Q+mwCSD6YRO2rz6ib1+mdGQ/AW3Rr4younv0bcboi/5Xp35dul/Uy+Y26c0AAUTfAESHSiD6DoVtoNUwRD8zrU0ffaLu4181bUl2poXXF3uX9Q+V9oM7Gpg9JaImgOhHTTz950P0058hHbhHwKjou4dPRO3ov+Tt6F/Ijr6L+QfpGdEPQotjEX3WQBACYYp+Zh7bFm1Wr+Vb+h8LslPrcVlvtcPf+Ss9gkyXY2MmgOjHHEAKT4/opzA0puw8AURfcwn4on/Zy9dL1wsKNCsx3HYCiL7tCZvtD9E3y9P2alGIfobh7rU71Q6/fx//0UNH1NedRnVXwl9wBQ+mTcNaQ/TTkFKy5ojoJysPZgOBXAhoi75/uX6un0XvTsn10NQcp0T/N9+Qruezo5+a0GKaKKIfE/iUnhbRT2lwMU07StHPtHhg+35Z+ORsdR///u371NftB3VUT+kvHFsSEwlOmwsBRD8XShxTmQCiz3qAQPoIaIt+5ZavHn+vXDR6qEy67doTSFT3ffpwnTpjX/Qv/6/rpct5BTa0Qw8hEkD0Q4RrYWlE38JQQ2wpDtHPtFNx6KgsfMIT/qfmir/b739OO6ONEn7/9Xx8kkcA0U9eJkmfEaKf9ISYHwROJWBU9Kt7GN/kp16Rl994x9rX613+W0/0z0X0+ResZgKIPiskCAFEPwgtjo1T9CvTX/L8ArXD79/P73+ant5MCX9/T/gbtmhEUAkhgOgnJIgUTQPRT1FYTBUCxwlEIvqZV/DZeuk+os+/T7kQQPRzocQxGQKIPmshCIGkiH5mzv4T+v37+P0n9vuf+k0aZHf4m3VuEaQ1jg2BAKIfAlTLSyL6lgdMe1YSMCr61V2i74v+zx97ydod/SteuYEnDlv5r4fZphB9szxtr4bo256w2f6SJvqZ7tb/ebX3pP7Zsv7tVdmGi8YPUpf0t+7bziwEquVMANHPGRUHHieA6LMUIJA+AkZFP7Nz/8A9E2TMpaOyNPxL+q+6ZKT89CcT00eolhn79+hf8aon+qN5tZB14RpuCNE3DNTycoi+5QEbbi+pop9p87MZG9Sr+Va+Wp7tvPd1/ZXwnz6ss2EalKuNAKJfGyF+fjIBRJ81AYH0ETAq+n77ZeWrZOyd959A4o5xV53ygL70oap6xoi+LUmG3weiHz5jm86A6NuUZvi9JF30MwS2l2+Vxd4Of/lz87NQeny1t/SfMJi314S/TLJnQPQjhG3JqRB9S4KkDacIGBd9p+h5zfqi/7VpY9U7hPlAoCYCiD7rIwgBRD8ILY5Ni+hnkvr8k91qh99/Wv/Rg0fU151HdlfC3/OqvgQaMgFEP2TAFpZH9C0MlZasJ6At+v5l+Tbv2Ne2AtSO/jTv0v1RXLpfGyvXf47ou74CgvWP6Afj5frRaRP9TF4Hdx1Q9/D7wr9/2z71dbvSDkr4+940wPVYQ+sf0Q8NrbWFEX1ro6Uxiwloi77PZvSYSbJ95x6FycYn69eUv9rRf83b0T+HHX2L/z0x0hqibwSjM0UQfWeiNtJoWkU/03zF0YrsDv+eNTvV1y0LWivhL7l9qNSpV8cIJ4ocI4DosxKCEkD0gxLjeAjET8CI6GfayDyMz//nEUOK5OlH7o6/w5BnoET/9W9Kp5HdQj4T5dNOANFPe4LRzh/Rj5Z32s+WdtGvzH/Zi2Vqh39b2Wb1deO2TZTsl0wcJg1aNkx7VImYP6KfiBhSNQlEP1VxMVkIKAJGRb8y01vvelg+nnPs6bonP4XfJvaIvk1phtsLoh8uX9uqI/q2JRpuPzaJfobU6jeWqcv6N36wXn1Vv3ED9ZR+/1ezzi3CBWp5dUTf8oBDaA/RDwEqJSEQMoHQRL/yvG2+tF+J/hvejv7Z7OiHvFZTXx7RT32EkTaA6EeKO/Uns1H0M6F88s5qdVn/urdWZnMqumWQt8M/VFoVtk19dnE0gOjHQT3d50T0050fs3eTQCSin0GbubR/6qP3SWlRLyuII/pWxBhJE4h+JJitOQmib02UkTRis+hnAH42Y4MS/pWvHrta0P8UXl8sxZ7wtx/UMRLOtpwE0bclyej6QPSjY82ZIGCKQKSib2rSSarji/6Vv7tROp7VNUnTYi4JJIDoJzCUBE8J0U9wOAmcmguin8G+Y/FW7x7+WbLk+QXZJHpd009KvzNMTh/WOYHpJG9KiH7yMkn6jBD9pCfE/CBwKgFt0fdfr5frx8Yn8qsd/d95l+6fxaX7ua4DV49D9F1NPr++Ef38uLk6yiXRz2S8e+1OWezt8Jc9Nisbe88r+0iJJ/z85XvN/yYg+q7+TpF/34h+/uwYCYG4CGiLfuWJXz3+Xrlo9FCZdNu1J/RT3fdxNW3yvOzom6Rpdy1E3+58TXeH6Jsmanc9F0U/k+gXG/fIwsdme8I/UyqOVKive1zWW0rvGMarb6tZ9oi+3b8fhNEdoh8GVWpCIFwCRkXf392v6gn7k596RV5+4x15b9rkcLuJobov+lf9903SYUSXGM7OKdNEANFPU1rxzxXRjz+DNM3AZdHP5LRv615Z+OgsWfDoTDl68Ij6uvvFZ0jJHUOly7kFaYoz9Lki+qEjtu4EiL51kdKQAwQiEf3MQ/hsvXQf0Xfg3xQDLSL6BiA6VALRdyhsA60i+l9CPLBjv7qcv8wT/sN7D6kfdD2/pyf8w6TbYWcH9wAAIABJREFUhT0N0E5/CUQ//RlG3QGiHzVxzgcBfQJGRb+6S/R90f/5Yy/Zu6P/e29H/0x29PWXo90VEH278zXdHaJvmqjd9RD9U/M9uOeA2uEv+/UsObjrgDqg8+geUnrnMOl+yRl2L4haukP0nY4/r+YR/bywMQgCsRIwKvqZnfuTL9/3L+m/6pKR8tOfTIy12TBOri7dR/TDQGtdTUTfukhDbQjRDxWvdcUR/eojPbzvUFb492/bpw7sdHY3KfYu6e95RR/r1kIuDSH6uVDimMoEEH3WAwTSR8Co6Pvtl5WvkrF33n8CiTvGXXXKA/rSh6rqGfuif/UfviWnD+eVPrZkGlYfiH5YZO2si+jbmWtYXSH6tZP179tf4D2wb5H34L69m79QA/yr8fzX8vW8um/tBSw6AtG3KMyIWkH0IwLNaSBgkIBx0Tc4t1SUUjv6f/Au3R/OpfupCCzGSSL6McJP4akR/RSGFuOUEf3c4VccrfCe0u9d0u/9+uLTPWpg+yGd1FP6z7i2KPdCKT4S0U9xeDFNHdGPCTynhYAGAURfA54/VO3ov+nt6A9jR18TpfXDEX3rIzbaIKJvFKf1xRD9/CJe+PhsJf171u1SBdoN6KAe2ld4fXF+BVMyCtFPSVAJmiain6AwmAoEciSA6OcIqrrDEH1NgA4NR/QdCttAq4i+AYgOlUD09cJe/PRc7yn9s2T36h2qUJvi9uqS/j43luoVTuhoRD+hwSR4Woh+gsNhahCohgCir7k0fNEf88dx0n5oJ81KDLedAKJve8Jm+0P0zfK0vRqibybh8ufmqwf37Vy+TRVs3bed2uHvN26AmRMkpAqin5AgUjQNRD9FYTFVCBwngOhrLgUl+m95ou/d38cHAjURQPRZH0EIIPpBaHEsom92DSx9YYEs/PVs2b54iyrcsldrGXDncCm6ZZDZE8VUDdGPCXyKT4vopzg8pu4sAURfM3pEXxOgQ8MRfYfCNtAqom8AokMlEP1wwl7+0kLvHv7ZsrXsM3WCFj1OkxLvkv6SiUPDOWFEVRH9iEBbdBpE36IwacUZAs6I/uSnXpGX33hH3ps2+ZRwrx5/r6xYs0F937ugi7w25YETjqnp50r0//RtaT+4ozOLhkbzI4Do58fN1VGIvqvJ59c3op8ft1xHrfjtYvXQvi1zN6khzbq0UPfwl9w5TOrUqZNrmcQch+gnJorUTATRT01UTBQCWQLWi/60N6fLvQ89qRpu06rFKaJ/610Py7btu7Ny70t92zYt5elH7lZjavu5ehjfn8bJ6YO5dJ9/r2omgOizQoIQQPSD0OJYRD+aNbD6taWy4LGZsnnmp+qETTo0U6/lG3DHcKnToG40kzBwFkTfAETHSiD6jgVOu1YQsF70MylVt6M/eswk+dEdN8iYS0epQ/2/GPj5Yy9l/0Kgtp+rHf23vR39QezoW/FvRIhNIPohwrWwNKJvYaghtoTohwi3itJr/nu595T+mbLpo0+OCX/bplJ8x1B1H3+9xvWjnUweZ0P084Dm+BBE3/EFQPupJOC06JeVr5Kxd94vUx+9T0qLeqkAK3/n/3NNP/fHIPqpXPexTBrRjwV7ak+K6Kc2ulgmjujHgl3W/XGlLPCEf+P0dWoCjVo19u7hHyqlnvA3aN4wnknlcFZEPwdIHHICAUSfBQGB9BFA9A2I/sRZE6UTr9dL3+pnxhCAAAQgAAEDBFb8YYV8+H8+lFV/WnVM+Fs0khF/O0LO/uHZ0rh1YwNnoAQEIAABCEAgGAFE34DoX/M/N0u7AR2Ckedo5wiwo+9c5FoNs6Ovhc+5wezoJyPyDe+ukTLvoX3r3z4m/PUa1fd2972H9nn38Tdp1zQZk/RmwY5+YqJIzUTY0U9NVEwUAlkCTou+T6G2e/Br+7l/6T6iz79RuRBA9HOhxDEZAog+ayEIAUQ/CK3wj/10+lr1Wr61b65QJ6tbv66Sff/BfU07Ng9/ArWcAdGPPYLUTQDRT11kTBgC4rzo1/ZU/dp+7ov+te+Ml7alp7OcIFAjAUSfBRKEAKIfhBbHIvrJXAMbP1ovizzhX/27ZdkJ+q/k81/N17xry9gmjejHhj61J0b0UxsdE3eYgPWiX/n1epmcr7pkpPz0JxOzsfuv1FuxZoP6594FXbKv2sscUNPP1Y7+O96l+6Vcuu/wv0c5tY7o54SJg44TQPRZCkEIIPpBaEV/7GczN8jCX8+WVdOWZE9ePGGI+NLfskeryCeE6EeOPPUnRPRTHyENOEjAetEPO1O1o/+ut6Nfwo5+2KzTXh/RT3uC0c4f0Y+Wd9rPhuinI8Et8zbJwkdnyYrfLs5OuGj8IHUf/2lntImsCUQ/MtTWnAjRtyZKGnGIAKKvGTairwnQoeGIvkNhG2gV0TcA0aESiH66wt62cLOUecK//KWF2Yn3GzdA3cffum+70JtB9ENHbN0JEH3rIqUhBwgg+poh+6J/3V9ukTbF7TUrMdx2Aoi+7Qmb7Q/RN8vT9mqIfjoT3l6+1Xto3yxZ+sKCbAN9vlmqHtoX5p8rEP10rpc4Z43ox0mfc0MgPwKIfn7csqPUjv5fvEv3i7l0XxOl9cMRfesjNtogom8Up/XFEP10R7xz+Tb1lP7yZ+dlGyn8RrG6hz+M1/ci+uleL3HMHtGPgzrnhIAeAURfj5+wo68J0KHhiL5DYRtoFdE3ANGhEoi+HWHvXr1Dyrwd/sVPzc02dMY1Reoe/vZDOhlrEtE3htKZQoi+M1HTqEUEEH3NMH3R//pfb5XW/cO/p05zqgyPmQCiH3MAKTs9op+ywGKeLqIfcwCGT79n3S7vKf2z1JP6M5+eV/WVku8MlY4jumqfDdHXRuhcAUTfuchp2AICiL5miGpH/6/ePfr9uUdfE6X1wxF96yM22iCibxSn9cUQfTsj/uLTPWqH37+Pv+JohWqy4PJC9dC+TiO75d00op83OmcHIvrORk/jKSaA6GuGp0T/vVulTRE7+poorR+O6FsfsdEGEX2jOK0vhujbHfG+LXu9p/TPVPfxHzl4WDXb7eJeMuDO4dL5Kz0CN4/oB0bm/ABE3/klAIAUEkD0NUND9DUBOjQc0XcobAOtIvoGIDpUAtF3I+wD2/fLgsdmyiJP+A/tPaia7npBgfeU/jPV/+b6QfRzJcVxGQKIPmsBAukjgOhrZqbu0Z9+m7Tu11azEsNtJ4Do256w2f4QfbM8ba+G6Nue8In9Hdp9UAm/f0n/wd0H1A/9nf2SiUOlx6W9a4WB6NeKiANOIoDosyQgkD4CiL5mZmpHf7p36X4/Lt3XRGn9cETf+oiNNojoG8VpfTFE3/qIq2zw8N5D6pL+Mu/Bff5uv//pcGYXJfy9xvSrFgqi7+Z60eka0dehx1gIxEMA0dfkrnb03/eeut8X0ddEaf1wRN/6iI02iOgbxWl9MUTf+ohrbNC/b99/Qv+ix+fIFxv3qGPblp4upd8ZJoVjS04Zi+i7vV7y6R7Rz4caYyAQLwFEX5O/L/rf+OA2adWHS/c1UVo/HNG3PmKjDSL6RnFaXwzRtz7inBtc9MQcWfj4bNm9eoca499aOOC7Z0qfG0uzNRD9nHFy4HECiD5LAQLpI4Doa2amdvQ/8Hb0+7Cjr4nS+uGIvvURG20Q0TeK0/piiL71EQducMnzC7wd/lmyvXyrGtumuL2U3jlM+owtFUQ/ME7nByD6zi8BAKSQAKKvGZra0f/Q29EvZEdfE6X1wxF96yM22iCibxSn9cUQfesjzrvBZS+WyYJ/nyk7lh4T/rYlp8uZPzxL+nmX9H++79ir+vhAoDYCiH5thPg5BJJHANHXzATR1wTo0HBE36GwDbSK6BuA6FAJRN+hsPNs1d/hL/vVTNm5fJuqcPqgjlLs7fD3vq5/nhUZ5hIBRN+ltOnVFgKIvmaSvuhf/9EEOa13G81KDLedAKJve8Jm+0P0zfK0vRqib3vC5vorf26+LPzVDNm54tg9/O0Hd1T38Pe6pvqn9Js7O5XSSgDRT2tyzNtlAoi+ZvpqR/8j79L93ly6r4nS+uGIvvURG20Q0TeK0/piiL71ERtt0L9Hf573wL6Zv/hYdq85LvxDO3nCP1x6XY3wG4VtSTFE35IgacMpAoi+ZtxqR/9jb0f/DHb0NVFaPxzRtz5iow0i+kZxWl8M0bc+YqMNVn4Y3+Kn5nr38M+QPet2qXN0OLOLlHrC3/NrfYyek2LpJoDopzs/Zu8mAURfM3df9G+Ycbu07NVasxLDbSeA6NuesNn+EH2zPG2vhujbnrDZ/qp66r7/Sj7/Hv7PP9mtTtbxrK5K+AsuLzR7cqqlkgCin8rYmLTjBBB9zQWgdvRneDv6vdjR10Rp/XBE3/qIjTaI6BvFaX0xRN/6iI02WNPr9coem6V2+Pdu/Fyds9PIbjLge2dK96+eYXQOFEsXAUQ/XXkxWwj4BBB9zXWgdvRnejv6PdnR10Rp/XBE3/qIjTaI6BvFaX0xRN/6iI02WJPoZ07k7+77r+Xb+9lx4R/V3RP+4dL9YoTfaBgpKYbopyQopgmBSgQQfc3lgOhrAnRoOKLvUNgGWkX0DUB0qASi71DYBlrNRfT901QcrVCX8y/45QzZt3WvOnOXcwvUJf3dLuxpYCaUSAsBRD8tSTFPCHxJANHXXA2+6I+dNVFaFLTSrMRw2wkg+rYnbLY/RN8sT9urIfq2J2y2v1xFP3PWo4eOyAJP+H3p379tn/q66/k9PeEfpv6Xj/0EEH37M6ZD+wgg+pqZqh39Wd6l+wVcuq+J0vrhiL71ERttENE3itP6Yoi+9REbbTCo6GeF/+ARme/dv+/fw39w5wH1dbeLenqv5TtTOn+lh9E5UixZBBD9ZOXBbCCQCwFEPxdKNRyjRH/2RGnZgx19TZTWD0f0rY/YaIOIvlGc1hdD9K2P2GiD+Yp+ZhKH9x2SMu/+fX+X/+Du48J/cS91D3/nUQi/0bASUgzRT0gQTAMCAQgg+gFgVXWounR/9nekRY/TNCsx3HYCiL7tCZvtD9E3y9P2aoi+7Qmb7U9X9DOzOfTFwWPC7/3y/2//0+PS3lLqCX+ns7uZnTTVYiWA6MeKn5NDIC8CiH5e2L4cxI6+JkCHhiP6DoVtoFVE3wBEh0og+g6FbaBVU6KfmYq/q6/u4feE39/t9z8Flxeqh/Z1PKurgRlTIm4CiH7cCXB+CAQngOgHZ3bCCLWjP8fb0e/Ojr4mSuuHI/rWR2y0QUTfKE7riyH61kdstEHTop8Vfu++/fm/8u7h957Sf9S7n9//9Lyyj7qH//ThnY32QLFoCSD60fLmbBAwQQDR16SI6GsCdGg4ou9Q2AZaRfQNQHSoBKLvUNgGWg1L9DNT85/Mr17L5/3yn9ivhP/qvjLQE/72QzsZ6IASURNA9KMmzvkgoE8A0ddk6Iv+N+feIc27tdSsxHDbCSD6tidstj9E3yxP26sh+rYnbLa/sEU/M9t9W/cev4d/hlQcrVBfn3FNkbqHv/2gjmabolqoBBD9UPFSHAKhEED0NbGqHf253qX73bh0XxOl9cMRfesjNtogom8Up/XFEH3rIzbaYFSin5n03s8+Vw/s83f5M5/e1/VXwt9uQAejvVEsHAKIfjhcqQqBMAkg+pp01Y7+PG9Hvys7+poorR+O6FsfsdEGEX2jOK0vhuhbH7HRBqMW/azwb/xc3cO/8NFZ2X4Kry/2Xst3prQpbm+0R4qZJYDom+VJNQhEQQDR16SM6GsCdGg4ou9Q2AZaRfQNQHSoBKLvUNgGWo1L9DNT//yT3Wp3f+Hjs78U/rEl3kP7hkub/gi/gYiNl0D0jSOlIARCJ4DoayL2Rf/G+XdKsy4tNCsx3HYCiL7tCZvtD9E3y9P2aoi+7Qmb7S9u0c90s2fdLiX8i56ck22w700DvNfyDZPWfduZbZpqWgQQfS18DIZALAQQfU3sSvQXeKLfGdHXRGn9cETf+oiNNojoG8VpfTFE3/qIjTaYFNHPNLV7zQ51D3/5M/OyffYb5wv/cGlV2NZo7xTLjwCinx83RkEgTgLOi/6PH3xcXn/rg1MyWPTulOx3V4+/V1as2aD+uXdBF3ltygPZnyH6cS7fdJ0b0U9XXnHPFtGPO4F0nR/RT1decc82aaKfFf5Vx4X/2S+Fv+jmQd49/MOlZa/WcWNz+vyIvtPx03xKCSD6nugvXrb2BHmvnOWtdz0s27bvzv7cl/62bVrK04/crQ7zRf+msu9K007NU7oEmHZUBBD9qEjbcR5E344co+oC0Y+KtB3nSaroZ+juXL5NXdK/5PkFWeBFtxwX/gKEP45ViOjHQZ1zQkCPAKJfi+iPHjNJfnTHDTLm0lGK9LQ3p8vPH3tJ3ps2OSv6N5Z5l+534tJ9vaVo/2hE3/6MTXaI6JukaX8tRN/+jE12mHTRz/S6Y+lWT/hnydIXvhT+4glD1CX9LbrzWmOTa6K2Woh+bYT4OQSSRwDRP+nS/TatWmQlvqx8lYy9836Z+uh9UlrUS6V38ndqR3+ht6PfkR395C3vZM0I0U9WHkmfDaKf9ISSNT9EP1l5JH02aRH9DMfti7fIAm+Hf/nUhVm0JROHKuHn9cbRrDZEPxrOnAUCJgk4L/onw/Qvzfc//n34uYr+nau+L83Z0Te5Lq2s1bBBPTlytEKOHDlqZX80ZZZAwwZ1xVsucvgw68UsWTursV7szDWsrhrUryveby+p+/1ly4LNMuP/fiSLXyzLohn2N2fK8B+eJc15KHJYy0XVbdq4fqj1KQ4BCJgngOifxNS/NP/eh54U/2F8uYr+7Su+z46++bVpXcVmjerJIU/yDx72/3jFBwI1E2jasJ4c9kz/IKLPUsmBQBNvvRz11ssB1ksOtDjEXy8VFRWy/1A6/yJx87xNMuffPpalLy/Khjnk+yNkqPeLKyzDWd/+VWZ8IACBdBFA9GsQff9Hudyjf9Pi70nT05ulK3lmGzkBLt2PHHmqT8il+6mOL/LJc+l+5MhTfcK0XbpfHewtnvCXea/lW/lquTqkTt066nL+Ad4uf5N2TVOdUdImz6X7SUuE+UCgdgLOi74v8pkH62XEvrBX1+xT9XN66j6iX/tK4whB9FkEQQgg+kFocSyizxoIQsAW0c/0vHn2p+oe/tWvLVVf1fVulRvgCb8v/Y3bNgmChmOrIYDoszQgkD4Czou+f0/+ijUbssmNGFKUlfzMl5WP6V3Q5YRX8fkP4/tW+d9Ik/b8zXH6ln+0M0b0o+Wd9rMh+mlPMNr5I/rR8k772WwT/azwz/SFf4asfmPZMeH3blEY+L0zZYD3q2GrRmmPLdb5I/qx4ufkEMiLgPOinxe1SoPUU/fLvUv323Ppvi5L28cj+rYnbLY/RN8sT9urIfq2J2y2P1tFP0Np00efeK/lmylrfr9cfVW/SQMp/Z53Sb+3w9+wJcKfz2pC9POhxhgIxEsA0dfkr3b0l3g7+twLpknS/uGIvv0Zm+wQ0TdJ0/5aiL79GZvs0HbRz7Da+OF6dQ//2jdXqK8aNGt4TPi9X/7/zSd3Aoh+7qw4EgJJIYDoayaB6GsCdGg4ou9Q2AZaRfQNQHSoBKLvUNgGWnVF9DOoPp2+VhZ4wr/+T6vUV/6uvrqH3xN+f7efT+0EEP3aGXEEBJJGANHXTMQX/XFLJ/GwF02OLgxH9F1I2VyPiL45li5UQvRdSNlcj66Jflb4/7pWXdK/7u3jwu/dtz/wu949/N5T+v37+flUTwDRZ3VAIH0EEH3NzNSO/lLv0v22PIxPE6X1wxF96yM22iCibxSn9cUQfesjNtqgq6KfgfjJO6s94Z8l/v/6H//J/Oq1fN4v/4n9fE4lgOizKiCQPgKIvmZm7OhrAnRoOKLvUNgGWkX0DUB0qASi71DYBlp1XfQzCNf/2Rf+mbLhL2vUV/7zlo7dw3+m1KlbxwBpe0og+vZkSSfuEED0NbP2Rf/by74vjdo01qzEcNsJIPq2J2y2P0TfLE/bqyH6tidstj9E/0Se6/60Ut3Dv3H6OvWDph2aqwf2+bv8fI4RQPRZCRBIHwFEXzMztaO/zLtHv00TzUoMt50Aom97wmb7Q/TN8rS9GqJve8Jm+0P0q+a57o++8M+QjR+sPyb8nZqre/hL7hxmNoAUVkP0UxgaU3aeAKKvuQTUjv5yb0e/NTv6miitH47oWx+x0QYRfaM4rS+G6FsfsdEGEf2aca75/XJ1Sf+mjz5RBzbv2lLt7pdMHGo0hzQVQ/TTlBZzhcAxAoi+5kpA9DUBOjQc0XcobAOtIvoGIDpUAtF3KGwDrSL6uUFc/btlSvg/m7FBDWjR/TQl/MUThuRWwKKjEH2LwqQVZwgg+ppR+6J/84ofSEPvFS18IFATAUSf9RGEAKIfhBbHIvqsgSAEEP0gtERWvbZEFnjCv2X2RjWwZUFrdQ9/0S2DghVK8dGIforDY+rOEkD0NaNXO/orvEv3W3HpviZK64cj+tZHbLRBRN8oTuuLIfrWR2y0QUQ/P5yrXvWFf4ZsmbvpmPD3ai0DvSf097t5YH4FUzQK0U9RWEwVAscJIPqaS0Ht6K/0dvRPY0dfE6X1wxF96yM22iCibxSn9cUQfesjNtogoq+Hc8VvF0uZ95T+rQs+U4VaFbZVl/T3GzdAr3CCRyP6CQ6HqUGgGgKIvubS8EV//Kq/lQYtG2pWYrjtBBB92xM22x+ib5an7dUQfdsTNtsfom+G5/LfLFLCv23hZlWwdd92nvAPk7432Sf8iL6ZNUMVCERJANHXpK129Fd5O/ot2dHXRGn9cETf+oiNNojoG8VpfTFE3/qIjTaI6BvFKcumlql7+Hcs3qoKt+nfXgZ4O/yFY0vMnijGaoh+jPA5NQTyJIDo5wkuM0yJ/mpP9Fsg+poorR+O6FsfsdEGEX2jOK0vhuhbH7HRBhF9ozizxZa9WKae0r99yXHhL/aE37uHv/D64nBOGGFVRD9C2JwKAoYIIPqaIBF9TYAODUf0HQrbQKuIvgGIDpVA9B0K20CriL4BiDWUWPL8AiX8O5dvU0e1G9BBSr2n9Pe+rn+4Jw6xOqIfIlxKQyAkAoi+Jlh1j/4a7x795tyjr4nS+uGIvvURG20Q0TeK0/piiL71ERttENE3irPaYuXPzVf38O9auV0d035IJxk4aYT0vLJPNBMweBZE3yBMSkEgIgKIviZotaO/xrt0vzmX7muitH44om99xEYbRPSN4rS+GKJvfcRGG0T0jeKstdjiZ+Z6wj9Ldq/ZoY7tdHY3Gfj9EdLt4l61jk3KAYh+UpJgHhDInQCinzurKo9UO/prvR39Zuzoa6K0fjiib33ERhtE9I3itL4Yom99xEYbRPSN4sy52MJfz5b5v/xY9m78XI0545oiOetfz5emHZvnXCOuAxH9uMhzXgjkTwDRz5+dGumL/i3rfij1mzbQrMRw2wkg+rYnbLY/RN8sT9urIfq2J2y2P0TfLM8g1SqOVsiCX86QuT/7UA7tPSgNWzWSs//1AunzzdIgZSI/FtGPHDknhIA2AURfE6Ha0V/n7eg3ZUdfE6X1wxF96yM22iCibxSn9cUQfesjNtogom8UZ17F9qzbJR/90//Imv9ersb7u/tn//8XSJMOzfKqF/YgRD9swtSHgHkCiL4mU7Wjv97b0W/Cjr4mSuuHI/rWR2y0QUTfKE7riyH61kdstEFE3yhOrWJLnp0vH/7j/8jhfYekUevGctb95ydydx/R14qZwRCIhQCir4kd0dcE6NBwRN+hsA20iugbgOhQCUTfobANtIroG4BosMQpu/vXHr93v0Ny7t1H9A0GTikIREQA0dcE7Yv+rZ/cJfUa19esxHDbCSD6tidstj9E3yxP26sh+rYnbLY/RN8sT1PVTt7d9+/dLxxbYqq8Vh1EXwsfgyEQCwFEXxO72tH/xLt0vzGX7muitH44om99xEYbRPSN4rS+GKJvfcRGG0T0jeI0Wmz32p3y8X3vfHnvfkJ29xF9ozFTDAKREED0NTGrHf0N3o5+I3b0NVFaPxzRtz5iow0i+kZxWl8M0bc+YqMNIvpGcYZSrHzKPO9hfe9k792Pe3cf0Q8lZopCIFQCiL4mXkRfE6BDwxF9h8I20CqibwCiQyUQfYfCNtAqom8AYgQl9qw9/mT+3x97Mn/Pq/vK0H84R1r3bRfB2U88BaIfOXJOCAFtAoi+JkIl+p96O/oN2dHXRGn9cETf+oiNNojoG8VpfTFE3/qIjTaI6BvFGXoxf3fffzL/kf2H1bkG3XW2Ev669euGfu7MCRD9yFBzIggYI4Doa6L0Rf+2T38kdRvW06zEcNsJIPq2J2y2P0TfLE/bqyH6tidstj9E3yzPKKrt3fS5zH54uix5foE6XYvup8mQfxgpfcaWRnF6QfQjwcxJIGCUAKKviRPR1wTo0HBE36GwDbSK6BuA6FAJRN+hsA20iugbgBhTiY3vr5PZD70vGz9cr2bQ9fyeSvg7DO8S6owQ/VDxUhwCoRBA9DWx+qI/YePfSZ0G0V0+pTllhsdEANGPCXxKT4vopzS4mKaN6McEPqWnRfRTGlylaZc/N1/mPDRd9m7+Qn3b/7bBMvTuUdK4TZNQmkP0Q8FKUQiESgDR18SrdvQ3epfuN+DSfU2U1g9H9K2P2GiDiL5RnNYXQ/Stj9hog4i+UZyxFTu096Da3S/71Uw1h0atGnu7++dIycShxueE6BtHSkEIhE4A0ddErER/099F+kAUzSkzPCYCiH5M4FN6WkQ/pcHFNG1EPybwKT0top/S4KqZ9tayzzzhny7r/rhSHdF+SCe1u9/twp7GGkX0jaGkEAQiI4Doa6JG9DUBOjQc0XcobAOtIvoGIDpUAtF3KGwDrSL6BiAmsMSqV5fILO+BfbtWbFezK/xGsQy55xxp2aOV9mwRfW2EFIBA5AQQfU3kSvQv8tB9AAASMklEQVQ/83b063GPviZK64cj+tZHbLRBRN8oTuuLIfrWR2y0QUTfKM7EFZv7sw+U8EuFN7U6IsO83f3BfzdSa56IvhY+BkMgFgKIviZ29TC+zX8vdep6v5PygUANBBB9lkcQAoh+EFoci+izBoIQQPSD0ErnsbvX7vQe1ve+LP/NItXAab3beJfznyNnXFOUV0OIfl7YGASBWAkg+jngv3r8vbJizQZ1ZO+CLvLalAeyoxD9HAByiCKA6LMQghBA9IPQ4lhEnzUQhACiH4RWuo9d/+fVMtvb3d8yZ6NqpNOo7lJy+1ApuKIwUGOIfiBcHAyBRBBA9GuJ4da7HpZt23dn5d6X/rZtWsrTj9ytRvqif/uWf1CXRvGBQE0EEH3WRxACiH4QWhyL6LMGghBA9IPQsuPYhY/Pljk/e18ObN+vGmo/qKMU3z5ECm8oyalBRD8nTBwEgUQRQPRriWP0mEnyoztukDGXjlJHTntzuvz8sZfkvWmTs6I/YYt36X4dTD9RKzuBk0H0ExhKgqeE6Cc4nARODdFPYCgJnhKin+BwQpxaxaGjsvCJ2bLoyTmyZ90udSb/kv7iCUPUr5o+iH6IwVAaAiERQPRrAFtWvkrG3nm/TH30Pikt6qWOPPk7f0f/7gP/GFI8lLWJQIP6deXo0Qo54v3iA4HaCDTwHvB5tIL1Uhsnfn6MQH1vvVSwXlgOORJQ68X7f0eO8N+jHJFZd9j8p+bKnEdnyuayzaq35p1ayNDvDpMh3x0uDZs3PKXfxg3rWceAhiBgOwFEX1P053h/Kzqklr8FtX0R0R8EIAABCEAAAhCAQPoILJy6UGb8coasf3+9mnyjFo1k+N8MlxGTRnjy3zx9DTFjCEAgSwDR1xT97XsOspwgkBOB5o3ry8EjR+Wgd+kcHwjURqBZ43py2FsqBw4eqe1Qfg4B8deL99uL7Ge9sBpyINC0UT3vChCRfayXHGi5ccjqP66Qsl/PlrVvr8o2PGDiUBl4xzBp5V3e36bFqbv8bpChSwiklwCiX0t2td2j/+m2felNn5lHSoB79CPFnfqTcY9+6iOMtAHu0Y8Ud+pPxj36qY8wtAY2ffSJuo9/9WtLs+coHFsiN/7ndaGdk8IQgEA4BBD9WrjW9tR9RD+chWljVUTfxlTD6wnRD4+tjZURfRtTDa8nRD88trZU3rZwsyx6Yo4sfWGBaumfK/7ZltboAwLOEED0c4jaf6XeijUb1JG9C7pkX7Xn/zOinwNADlEEEH0WQhACiH4QWhyL6LMGghBA9IPQcvvYPWt2yqF9h6VkVDe3QdA9BFJIANHXDA3R1wTo0HBE36GwDbSK6BuA6FAJRN+hsA20iugbgOhYCV6v51jgtGsFAURfM0ZEXxOgQ8MRfYfCNtAqom8AokMlEH2HwjbQKqJvAKJjJRB9xwKnXSsIIPqaMSL6mgAdGo7oOxS2gVYRfQMQHSqB6DsUtoFWEX0DEB0rgeg7FjjtWkEA0deMEdHXBOjQcETfobANtIroG4DoUAlE36GwDbSK6BuA6FgJRN+xwGnXCgKIvmaMiL4mQIeGI/oOhW2gVUTfAESHSiD6DoVtoFVE3wBEx0og+o4FTrtWEED0NWNE9DUBOjQc0XcobAOtIvoGIDpUAtF3KGwDrSL6BiA6VgLRdyxw2rWCAKKvGSOirwnQoeGIvkNhG2gV0TcA0aESiL5DYRtoFdE3ANGxEoi+Y4HTrhUEEH3NGBF9TYAODUf0HQrbQKuIvgGIDpVA9B0K20CriL4BiI6VQPQdC5x2rSCA6GvGiOhrAnRoOKLvUNgGWkX0DUB0qASi71DYBlpF9A1AdKwEou9Y4LRrBQFEXzNGRF8ToEPDEX2HwjbQKqJvAKJDJRB9h8I20CqibwCiYyUQfccCp10rCCD6mjEi+poAHRqO6DsUtoFWEX0DEB0qgeg7FLaBVhF9AxAdK4HoOxY47VpBANHXjBHR1wTo0HBE36GwDbSK6BuA6FAJRN+hsA20iugbgOhYCUTfscBp1woCiL5mjIi+JkCHhiP6DoVtoFVE3wBEh0og+g6FbaBVRN8ARMdKIPqOBU67VhBA9DVjRPQ1ATo0HNF3KGwDrSL6BiA6VALRdyhsA60i+gYgOlYC0XcscNq1ggCib0WMNAEBCEAAAhCAAAQgAAEIQAACEDhGANFnJUAAAhCAAAQgAAEIQAACEIAABCwigOhbFCatQAACEIAABCAAAQhAAAIQgAAEEH3WAAQgAAEIQAACEIAABCAAAQhAwCICiL5FYdJKsghMfuoVefmNd+S9aZNPmdjV4++VFWs2qO97F3SR16Y8kKzJM5vICNx618Py8Zzy7PmqWg+sl8jiSPyJfvzg4/L6Wx+wXhKfVPIm6P836bHnX5cH7pkgYy4dlZ0gv78kL6u4ZnTy7y+ZeSx6dwrrJa5QOC8ENAgg+hrwGAqBqghMe3O63PvQk+pHbVq1OEX0fbHbtn13Vu79P2S1bdNSnn7kboA6SGD0mEknrBH/n0edWSo//clERYP14uCiqKFl//eLyn8xePLvH6wX1ktVBDJ/8bx9554TRJ/1wnqpTMAX/cXL1la7+cB6Yb1AIF0EEP105cVsU0Sguh19X+R+dMcN2R0V/y8Gfv7YS1Xu/KeoXaZqiMDJf9BivRgCa2kZ1oulwRpsq/J/i4rPG3+C6PP7i0HQFpSqTfRZLxaETAtOEUD0nYqbZqMkUJXol5WvkrF33i9TH71PSot6qelU9V2U8+RcySLg79D279ND7eizXpKVTRJn4//Bu7BXV3VFEOsliQnFO6eT/ztUWfRZL/Fmk8Szn3zpfuWrElkvSUyMOUGgZgKIPisEAiERQPRDAmtx2cwfsjL3Q/IHK4vD1mzNF3z/MuzKz3RgvWhCtWx4Vf8NQvQtCznkdvy/ePY//u1C/P4SMmzKQyAEAoh+CFApCQGfAKLPOghCIPOgrNqu9uAKkCBU7T+28j2z/EHc/ryDdHjygz4rj71j3FVy3shBXGEWBKiDx2aeOeT/5TO/vzi4AGg59QQQ/dRHSANJJcA9+klNJnnzOnknv/IMuScyeXklaUaV/yDuz4v1kqR0kjcX7tFPXiZJnhG/vyQ5HeYGgdoJIPq1M+IICORFoDrR56m1eeG0dlDlSyOrapL1Ym30eTV28lsaTl4/rJe8sDoz6GTRZ704E31OjVb1FpjMM0D8AqyXnDByEAQSQwDRT0wUTMQWApVfr5fp6apLRmZfl+Z/x3uLbUlbr4/MpZBVVan8rmvWix5nm0ZXXgt+X5Xv0c/0yXqxKXGzvZws+vz3yCzftFc7+feXEUOKTnn1L7+/pD1l5u8SAUTfpbTpFQIQgAAEIAABCEAAAhCAAASsJ4DoWx8xDUIAAhCAAAQgAAEIQAACEICASwQQfZfSplcIQAACEIAABCAAAQhAAAIQsJ4Aom99xDQIAQhAAAIQgAAEIAABCEAAAi4RQPRdSpteIQABCEAAAhCAAAQgAAEIQMB6Aoi+9RHTIAQgAAEIQAACEIAABCAAAQi4RADRdylteoUABCAAAQhAAAIQgAAEIAAB6wkg+tZHTIMQgAAEIAABCEAAAhCAAAQg4BIBRN+ltOkVAhCAAAQgAAEIQAACEIAABKwngOhbHzENQgACEIAABCAAAQhAAAIQgIBLBBB9l9KmVwhAAAIQgAAEIAABCEAAAhCwngCib33ENAgBCEAAAhCAAAQgAAEIQAACLhFA9F1Km14hAAEIQAACEIAABCAAAQhAwHoCiL71EdMgBCAAAQhAAAIQgAAEIAABCLhEANF3KW16hQAEIAABCEAAAhCAAAQgAAHrCSD61kdMgxCAAAQgAAEIQAACEIAABCDgEgFE36W06RUCEIAABCAAAQhAAAIQgAAErCeA6FsfMQ1CAAIQgAAEIAABCEAAAhCAgEsEEH2X0qZXCEAAAikncPX4e2XFmg0y9dH7pLSoV5XdlJWvkrF33i+9C7rIa1MeSHnHTB8CEIAABCAAAQgEJ4DoB2fGCAhAAAIQMEwgI+d+2eokfvJTr8hjz78ui96dkj37rXc9LNu2765S6IvPGy93jLtKJt12reHZUg4CEIAABCAAAQgkmwCin+x8mB0EIAABJwj8+MHHZfGytbJ9524ZdWap/PQnE0/pe/SYSaf8rCbR9/9i4OU33pH3pk12giFNQgACEIAABCAAgQwBRJ+1AAEIQAACsRPwJf76K8+XTz/bKtNnlJ0i51Xt5vt/OfD6Wx+cMPcRQ4rk6Ufuzn7Hrn7s0TIBCEAAAhCAAARiIIDoxwCdU0IAAhCAwJcEKkt85hL+B+6ZIGMuHZU9yN+59z+VJd7/55p29DM/r2oc/CEAAQhAAAIQgIDNBBB9m9OlNwhAAAIpIOA/YK9tm5ZZiT/5n/0W/O/69+lxyiX9tYm+/5cIb783m4fypWAdMEUIQAACEIAABMwRQPTNsaQSBCAAAQgEJFDVDn5Vl+lnLu0/+cF6uYg+9+kHDIXDIQABCEAAAhBIPQFEP/UR0gAEIACB9BKo6j77TDdXXTIyu4OP6Kc3Y2YOAQhAAAIQgED0BBD96JlzRghAAAIQOE6gqifp+z/yd+qXr/ok+1A+/9L9i0YPPeVVebns6HPpPssNAhCAAAQgAAHXCCD6riVOvxCAAAQSQmDam9Pl3oeelKmP3ielRb1OmFXmZ5mH8lX3ML6qLvOvXKi6cQlBwDQgAAEIQAACEIBAKAQQ/VCwUhQCEIAABGoj4O/S+5/XpjxQ5aH+bn9hr67qIX01Cb1fZ8WaDaoGr9erjTo/hwAEIAABCEDABQKIvgsp0yMEIAABCwhUd5l/da35fznAg/gsCJ4WIAABCEAAAhAITADRD4yMARCAAAQgEAeB2i7TP3lOxeeNlzvGXXXKff1xzJ1zQgACEIAABCAAgSgJIPpR0uZcEIAABCCgRSBzmX5V9/VnCmde2de7oEu1twVoTYLBEIAABCAAAQhAIOEEEP2EB8T0IAABCEAAAhCAAAQgAAEIQAACQQgg+kFocSwEIAABCEAAAhCAAAQgAAEIQCDhBBD9hAfE9CAAAQhAAAIQgAAEIAABCEAAAkEIIPpBaHEsBCAAAQhAAAIQgAAEIAABCEAg4QQQ/YQHxPQgAAEIQAACEIAABCAAAQhAAAJBCCD6QWhxLAQgAAEIQAACEIAABCAAAQhAIOEEEP2EB8T0IAABCEAAAhCAAAQgAAEIQAACQQgg+kFocSwEIAABCEAAAhCAAAQgAAEIQCDhBBD9hAfE9CAAAQhAAAIQgAAEIAABCEAAAkEIIPpBaHEsBCAAAQhAAAIQgAAEIAABCEAg4QQQ/YQHxPQgAAEIQAACEIAABCAAAQhAAAJBCCD6QWhxLAQgAAEIQAACEIAABCAAAQhAIOEEEP2EB8T0IAABCEAAAhCAAAQgAAEIQAACQQgg+kFocSwEIAABCEAAAhCAAAQgAAEIQCDhBBD9hAfE9CAAAQhAAAIQgAAEIAABCEAAAkEIIPpBaHEsBCAAAQhAAAIQgAAEIAABCEAg4QQQ/YQHxPQgAAEIQAACEIAABCAAAQhAAAJBCCD6QWhxLAQgAAEIQAACEIAABCAAAQhAIOEEEP2EB8T0IAABCEAAAhCAAAQgAAEIQAACQQgg+kFocSwEIAABCEAAAhCAAAQgAAEIQCDhBBD9hAfE9CAAAQhAAAIQgAAEIAABCEAAAkEIIPpBaHEsBCAAAQhAAAIQgAAEIAABCEAg4QQQ/YQHxPQgAAEIQAACEIAABCAAAQhAAAJBCCD6QWhxLAQgAAEIQAACEIAABCAAAQhAIOEEEP2EB8T0IAABCEAAAhCAAAQgAAEIQAACQQgg+kFocSwEIAABCEAAAhCAAAQgAAEIQCDhBBD9hAfE9CAAAQhAAAIQgAAEIAABCEAAAkEIIPpBaHEsBCAAAQhAAAIQgAAEIAABCEAg4QQQ/YQHxPQgAAEIQAACEIAABCAAAQhAAAJBCCD6QWhxLAQgAAEIQAACEIAABCAAAQhAIOEEEP2EB8T0IAABCEAAAhCAAAQgAAEIQAACQQgg+kFocSwEIAABCEAAAhCAAAQgAAEIQCDhBBD9hAfE9CAAAQhAAAIQgAAEIAABCEAAAkEIIPpBaHEsBCAAAQhAAAIQgAAEIAABCEAg4QQQ/YQHxPQgAAEIQAACEIAABCAAAQhAAAJBCPw/yYn9tnNWZVkAAAAASUVORK5CYII=",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ReactionKinetics.estimate_rate_constants_simple(t=t_arr, A_conc=A_conc, B_conc=C_conc, reactant_name=\"A\", product_name=\"C\")"
]
},
{
"cell_type": "markdown",
"id": "8951650d-cb8c-4def-99c3-4e465a12b9d4",
"metadata": {},
"source": [
"### A terrible fit! But it looks like we'll do much better if split it into 3 portions, one where A(t) ranges from 0 to about 0.04, one from about 0.04 to 5, and one from about 5 to 50 \n",
"\n",
"This is a larger numer of splits than we did in experiments `cascade_2_a` and `cascade_2_b`\n",
"\n",
"Let's visually locate at what times those [A] values occur:"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "6ef1f912-d7c9-401c-b037-2e4d2b6cf8fa",
"metadata": {},
"outputs": [
{
"data": {
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"data": [
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"hovertemplate": "SYSTEM TIME=%{x}
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"orientation": "v",
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"type": "scatter",
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"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "[A] as a function of time"
},
"xaxis": {
"anchor": "y",
"domain": [
0,
1
],
"range": [
0,
0.15
],
"title": {
"text": "SYSTEM TIME"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0,
1
],
"range": [
-2.7649242973481054,
52.7771012788078
],
"title": {
"text": "[A]"
},
"type": "linear"
}
}
},
"image/png": 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""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(chemicals='A', colors='darkturquoise', range_x=[0, 0.15],\n",
" vertical_lines_to_add=[0.028, 0.1], title=\"[A] as a function of time\")"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "781a0677-4d2a-4222-b5f8-4ce031157faf",
"metadata": {},
"outputs": [
{
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"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
"automargin": true,
"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "LEAST-SQUARE FIT ANALYSIS:"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0,
0.027561325407901217
],
"title": {
"text": "t"
},
"type": "linear"
},
"xaxis2": {
"anchor": "y2",
"autorange": true,
"domain": [
0,
1
],
"range": [
5.213195469421105,
50
],
"title": {
"text": "A(t)"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0.575,
1
],
"range": [
-27.805058269414832,
453.8233798461544
],
"title": {
"text": "d/dt C(t)"
},
"type": "linear"
},
"yaxis2": {
"anchor": "x2",
"autorange": true,
"domain": [
0,
0.425
],
"range": [
-20.538603002919693,
315.76072978274675
],
"title": {
"text": "d/dt C(t)"
},
"type": "linear"
}
}
},
"image/png": 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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ReactionKinetics.estimate_rate_constants_simple(t=t_arr_early, A_conc=A_conc_early, B_conc=C_conc_early,\n",
" reactant_name=\"A\", product_name=\"C\")"
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},
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"id": "49e2b683-f622-4d9a-a6e8-e687a7b44f34",
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"Just as we saw in experiment `cascade_2_b`, trying to fit an elementary reaction to that region leads to a **negative** reverse rate constant! \n",
"We won't discuss this part any further."
]
},
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"## II. Let's now consider the MID region (not seen in earlier experiments in this series), when 0.028 < t < 0.1"
]
},
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"Reaction A <-> C\n",
"Total REACTANT + PRODUCT has a median of 14.9, \n",
" with standard deviation 3.612 (ideally should be zero)\n",
"The sum of the time derivatives of the reactant and the product \n",
" has a median of 199 (ideally should be zero)\n",
"Least square fit to model as elementary reaction: C'(t) = kF * A(t) - kR * C(t)\n",
"\n",
"-> ESTIMATED RATE CONSTANTS: kF = 68.94 , kR = -12.04\n"
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0.8888888888888888,
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},
"colorway": [
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"#00cc96",
"#ab63fa",
"#FFA15A",
"#19d3f3",
"#FF6692",
"#B6E880",
"#FF97FF",
"#FECB52"
],
"font": {
"color": "#2a3f5f"
},
"geo": {
"bgcolor": "white",
"lakecolor": "white",
"landcolor": "#E5ECF6",
"showlakes": true,
"showland": true,
"subunitcolor": "white"
},
"hoverlabel": {
"align": "left"
},
"hovermode": "closest",
"mapbox": {
"style": "light"
},
"paper_bgcolor": "white",
"plot_bgcolor": "#E5ECF6",
"polar": {
"angularaxis": {
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"linecolor": "white",
"ticks": ""
},
"bgcolor": "#E5ECF6",
"radialaxis": {
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"linecolor": "white",
"ticks": ""
}
},
"scene": {
"xaxis": {
"backgroundcolor": "#E5ECF6",
"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"yaxis": {
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"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
},
"zaxis": {
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"gridcolor": "white",
"gridwidth": 2,
"linecolor": "white",
"showbackground": true,
"ticks": "",
"zerolinecolor": "white"
}
},
"shapedefaults": {
"line": {
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}
},
"ternary": {
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},
"baxis": {
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},
"bgcolor": "#E5ECF6",
"caxis": {
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"linecolor": "white",
"ticks": ""
}
},
"title": {
"x": 0.05
},
"xaxis": {
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"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
},
"yaxis": {
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"gridcolor": "white",
"linecolor": "white",
"ticks": "",
"title": {
"standoff": 15
},
"zerolinecolor": "white",
"zerolinewidth": 2
}
}
},
"title": {
"text": "LEAST-SQUARE FIT ANALYSIS:"
},
"xaxis": {
"anchor": "y",
"autorange": true,
"domain": [
0,
1
],
"range": [
0.028744584664829452,
0.09582497185119934
],
"title": {
"text": "t"
},
"type": "linear"
},
"xaxis2": {
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"autorange": true,
"domain": [
0,
1
],
"range": [
0.05274977441947033,
4.724309631028634
],
"title": {
"text": "A(t)"
},
"type": "linear"
},
"yaxis": {
"anchor": "x",
"autorange": true,
"domain": [
0.575,
1
],
"range": [
163.67227374013757,
413.73462412020984
],
"title": {
"text": "d/dt C(t)"
},
"type": "linear"
},
"yaxis2": {
"anchor": "x2",
"autorange": true,
"domain": [
0,
0.425
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"range": [
169.32508920560164,
306.3311302763923
],
"title": {
"text": "d/dt C(t)"
},
"type": "linear"
}
}
},
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ReactionKinetics.estimate_rate_constants_simple(t=t_arr_mid, A_conc=A_conc_mid, B_conc=C_conc_mid,\n",
" reactant_name=\"A\", product_name=\"C\")"
]
},
{
"cell_type": "markdown",
"id": "87f852fc-8df8-4aef-ab74-fcea926b354f",
"metadata": {},
"source": [
"For this region, too, trying to fit an elementary reaction to that region leads to a **negative** reverse rate! \n",
"We won't discuss this part any further."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "708845ca-e623-4237-aa0c-4610e1aace08",
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"id": "652e8cc0-b053-40d1-9d1c-2f2a30f59469",
"metadata": {},
"source": [
"## III. And now let's consider the LATE region, when t > 0.1"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "2d61a783-e1e5-473a-9fd8-cba5cb842a85",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Reaction A <-> C\n",
"Total REACTANT + PRODUCT has a median of 34.37, \n",
" with standard deviation 6.092 (ideally should be zero)\n",
"The sum of the time derivatives of the reactant and the product \n",
" has a median of 62.73 (ideally should be zero)\n",
"Least square fit to model as elementary reaction: C'(t) = kF * A(t) - kR * C(t)\n",
"\n",
"-> ESTIMATED RATE CONSTANTS: kF = 4,790 , kR = 1.255\n"
]
},
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
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",
"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ReactionKinetics.estimate_rate_constants_simple(t=t_arr_late, A_conc=A_conc_late, B_conc=C_conc_late,\n",
" reactant_name=\"A\", product_name=\"C\")"
]
},
{
"cell_type": "markdown",
"id": "5e2ab9aa-c84d-41d1-948f-16d1e437b2a6",
"metadata": {},
"source": [
"This time we have an adequate linear fit AND positive rate constants, but a **huge value of kF** relative to that of any of the elementary reactions! \n",
"\n",
"Let's see the time evolution again, but just for `A` and `C`:"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "ffa91f21-a726-46df-88dc-5fdc38fa4673",
"metadata": {},
"outputs": [
{
"data": {
"application/vnd.plotly.v1+json": {
"config": {
"plotlyServerURL": "https://plot.ly"
},
"data": [
{
"hovertemplate": "Chemical=A
SYSTEM TIME=%{x}
Concentration=%{y}",
"legendgroup": "A",
"line": {
"color": "darkturquoise",
"dash": "solid"
},
"marker": {
"symbol": "circle"
},
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EKnUigAACCCCAAAIIIIAAAgggEJEAQd8A/L7uYQO1UAUC5gTqa6uksa5KegbGzFVKTQgYEKiqrJCFLXXS2TtioDaqQMCswOIF9XKob1Qmp46arZjaEPAp0Da/Vo6MTsrI2KTPmjgcAfMCy9obzFdKjb4FCPq+CUUI+gYQqcKoAEHfKCeVGRQg6BvEpCrjAgR946RUaEiAoG8IkmoCESDoB8Lqu1KCvm9Cgr4BQqowLEDQNwxKdcYECPrGKKkoAAGCfgCoVGlEgKBvhJFKAhIg6AcE67Nagr5PQH04K/oGED1Ucd89d8nb3vm70r6ww8NR5VWUoF9e411KZzsxPibf/ufb5LIrP1VK3aavZSJA0C+TgS7B0yTol+CglVGXCfrxHGyCvoFxIegbQPRQBUHfGYug72xEiWgECPrRuNOqOwGCvjsnSoUvQNAP35wW3QsQ9N1bhVmSoG9Am6BvANFDFQR9ZyyCvrMRJaIRIOhH406r7gQI+u6cKBW+AEE/fHNadC9A0HdvFWZJgr4BbYK+AUSqMCpA0DfKSWUGBbhH3yAmVRkXIOgbJ6VCQwIEfUOQVBOIAEE/EFbflRL0fRNyj74BQqowLEDQNwxKdcYECPrGKKkoAAGCfgCoVGlEgKBvhJFKAhKIKuhfcvn10t7WLHfeck1AZxZctVu37ZBLP3Gj3HPrDbJ+3XGBNETQ98k6fPSo9PbwPGifjBxuWICgbxiU6owJEPSNUVJRAAIE/QBQqdKIAEHfCCOVBCQQVND/6NU3y5PPbMvqdVvrfHns/i3Wz6II+vc/+Lhc/8VvyOZrr5SNF51ftChBv2i68A6s+M1z8qOlK+WUmrrwGi3zlrhH33kCEPSdjSgRjQD36EfjTqvuBAj67pwoFb4AQT98c1p0LxBE0D/57ZdLZqi3e6PD/+KFC+QLn/t4JEHfvcrcJQn6piQDrEcH/c+1tsufNbcF2ApVZwoQ9J3nA0Hf2YgS0QgQ9KNxp1V3AgR9d06UCl+AoB++OS26FzAd9HWYf2XHnvTKfaGe2Cv6+vf2yn+hNwcyrwzIvFx+w8ZNcv456+Xxp7ZKz+EBq6mrLrtYVizvsFbu7Zd9TL6AnnvlgT5+0xXvl3xXJDz/yF1WlQR99/MrspI66L+lrlHuXbw8sj6UW8MEfecRJ+g7G1EiGgGCfjTutOpOgKDvzolS4QsQ9MM3p0X3AqaDvl7Nv/jd51mr9nO9dNDfvnOvFcx1sNYvHdzfcNwx6fv2ddju7umX79+12fr9ljvuk9vufkDswK3L64BvB3n797m3COhjdR25AT33TQn9+698/btW+/p3n/nYB9L34Ov+FqrHvbb7ktyj794qb0kd9PXrpWPWSFNlpc/aOBwBMwIEfTOO1GJegHv0zZtSozkBgr45S2oyK0DQN+tJbWYFTAZ9O0i7uQc+3z361910u7zw8q68odw+ax3uP/i+C6w3B+wVfftNhXwr7bpOveKv9wbI/L2uT2+o56av9psM9/7g4Vn1sBmf2florLYLtu+QRwYG5faFS+W9jU3G6qUiBPwIEPT96HFskAIE/SB1qduvAEHfryDHByVA0A9KlnpNCMQ16Nsb5+U7R/sqgEJBPzO861X+fAH91V37rMv77asD8rVjXzGQ+Ttdnkv3Tcy8gOu46UCXXL//gHxkXrPc3L444NaoHgF3AgR9d06UCl+AoB++OS26FyDou7eiZLgCBP1wvWnNm4DJoK9b9nLpfu7j9TJX9O2g7xTE9T36uSv6JoK+Po9zz1yXvo0g87YBgr63ORZJ6V8fOSJnv7RdVtbUyC+Wro6kD+XWKPfoO484Qd/ZiBLRCHCPfjTutOpOgKDvzolS4QsQ9MM3p0X3AqaDvtNmfDrMF9p1P9+l+3NdWu9nRV8LFbp0P9+bDAR993MqNiWXbX1B9k9MyH+qx+ydxGP2Ah8Xgr4zMUHf2YgS0QgQ9KNxp1V3AgR9d06UCl+AoB++OS26FzAd9HXL+R6vZ4dne6M+p3v0dT32zveZq/r6zYBzzzxJNl50fsF79N2s6Ot763Ufeg73p58QYG/Gpzfhy30TQJ+TfnHpvvu5FXnJS1/eKd8Z6pf/d8FCuWr+gsj7k/QOEPSdR5ig72xEiWgECPrRuNOqOwGCvjsnSoUvQNAP35wW3QsEEfQzQ3pmTzIDuJugX6iezF33i710395Ez9793+6n3Uf9hsIDP34i3X29L4C94z+X7rufX5GWvPX1LvnTQwfkrfXz5NsdyyLtC40joAUI+syDuApwj35cR4Z+aQGCPvMgrgIE/biODP3SAkEFfXT9CfB4PX9+1tEvHBySk/e8an29fcVaaaioMFArVSBQvABBv3g7jgxWgKAfrC+1+xMg6Pvz4+jgBAj6wdlSs38Bgr5/wyBqIOgbUN3XPSzv79wjT44Oyx2LlslFDfMM1EoVCBQvQNAv3o4jgxUg6AfrS+3+BAj6/vw4OjgBgn5wttTsX4Cg798wiBoI+gZUddD/h74e+R993fJHTS3yhbYOA7VSRSEB7tF3nhsEfWcjSkQjwD360bjTqjsBgr47J0qFL0DQD9+cFt0LEPTdW4VZkqBvQFsH/WfHRuW9B3bLquoaeWLZagO1UgVBv/g5QNAv3o4jgxUg6AfrS+3+BAj6/vw4OjgBgn5wttTsX4Cg798wiBoI+gZUddDXrzP27pCuyUl5aOkqObGm1kDNVJFPgBV953lB0Hc2okQ0AgT9aNxp1Z0AQd+dE6XCFyDoh29Oi+4FCPrurcIsSdA3oG0H/U/3dMp3B/vlb1oXysebecyeAVqqKFKAoF8kHIcFLsA9+oET04APAYK+DzwODVSAoB8oL5X7FCDo+wQM6HCCvgFYO+jfN9Qvm7o75e31jfKtjuUGaqYKBIoTIOgX58ZRwQsQ9IM3poXiBQj6xdtxZLACBP1gfandnwBB359fUEcT9A3I2kG/e2pSTt2zQ/TD9V5dsUbqKioN1E4VCHgXIOh7N+OIcAQI+uE400pxAgT94tw4KngBgn7wxrRQvABBv3i7II8k6BvQtYO+rmpj1x751ciwfFM9Zu/dPGbPgO7sKrhH35mVoO9sRIloBLhHPxp3WnUnQNB350Sp8AUI+uGb06J7AYK+e6swSxL0DWhnBv1bDnfLl/t75HL1mL3NPGbPgC5BvxhEgn4xahwThgBBPwxl2ihWgKBfrBzHBS1A0A9amPr9CJRb0N+wcZPF9dj9W/ywBX4sQd8AcWbQf3p0RC7ufF2OU7vuP6Z23+dlXoAVfWdTgr6zESWiESDoR+NOq+4ECPrunCgVvgBBP3xzWnQvUE5B//4HH5dv3vND6TncL5+96kOy8aLz3UOFXJKgbwA8M+jr6k5Xj9k7qB6z94gK+m/gMXsGhKnCqwBB36sY5cMS4B79sKRppxgBgn4xahwThgBBPwxl2ihWoJyC/kevvlnOOPkN8pvnX7G47rzlmmLZAj+OoG+AODfof6r7gPyfoQH52wWL5Mr5rQZaoAoEvAkQ9L15UTo8AYJ+eNa05F2AoO/djCPCESDoh+NMK8UJBBH0t4+OyraR0eI65OOotXW1sq6+vmANJ7/9crnn1hvk1V375Mu3fSfWl+8T9H1MBPvQ3KD/PRXy/1yF/QvVY/bu5jF7BoSpwqsAQd+rGOXDEiDohyVNO8UIEPSLUeOYMAQI+mEo00axAkEE/Qf7B+Q9r75WbJeKPu6i5vnywzXH5j3evmz/+3dttn6vQ//ma6+M7eX7BP2ip8HMgblBv2tyQs7Y+5pUV1TIq8essT7zMifAPfrOlgR9ZyNKRCPAPfrRuNOqOwGCvjsnSoUvQNAP35wW3QsEEfT1iv7Ve/e774Shkmvr6uSW5Uvz1mZftr/pivdbv9ff61dcL98n6BuYFLlBX1f5PrUh3zNqY75/USv671Ar+7zMCRD0nS0J+s5GlIhGgKAfjTutuhMg6LtzolT4AgT98M1p0b1AEEHffevhldQr+Plezz9yV3id8NASQd8DVqGi+YL+l/p65Ct93XKFukf/RnWvPi9zAgR9Z0uCvrMRJaIRIOhH406r7gQI+u6cKBW+AEE/fHNadC9QDkFfX7af7578OF++T9B3P4cLlswX9J8aGZbf79oja9Wu+z/jMXsGlKnCiwBB34sWZcMU4B79MLVpy6sAQd+rGOXDEiDohyVNO8UIlEPQv+Ty66W9rXnWZfpxvnyfoJ8xm7fccZ/cdvcDszZV0AO7fedeq+Ta1cvF3oDBPjRf0Ne/W7/3VemZnJJHVdBfw2P2ivm7wTFFChD0i4TjsMAFCPqBE9OADwGCvg88Dg1UgKAfKC+V+xQoh6DvkyiSwwn60+w65N/7g4el5/BAVtDX79J09/Snw32+d3MKBf1PdnfKvw31y9+pS/c/ymP2Ipng5dooQb9cRz7+503Qj/8YlXMPCfrlPPrxPneCfrzHp9x7R9CP5wwg6KtxsUP+Y/dvmfWYhA0bN8lnr/pQ+rEJ+e7PKBT07x3sl8/0dMqFDeoxe4uWx3MGlGCvuEffedAI+s5GlIhGgHv0o3GnVXcCBH13TpQKX4CgH745LboXIOi7twqzZNkH/cyQr+EzN1TYum2HXPqJG+WeW2+Q9euOs8Yl3886e0fyjpm+bP+k17dbv3thxRppq6oKc2wT29b3vv1Nefs73ysLF3Uk9hz9nlhdTZU01FXK4cFxv1VxPAJGBcbHR+Vb37xNLv/4nxutl8oQMCGwsKVOegbGZGrqqInqqAMBYwKtTTUyPDolo+OTxuqkIgRMCeg3SXnFT6Csg35uyC826E/O8R8EF+/YKf8xMCD/a/kyuWphe/xmQAn26Otfv10uft/FsnjJkhLsfThdrqgQqVD/mzrKf6yGI04rbgVGR0Zky5avyl/85V+5PYRyCIQmoG8t0SGfv5yhkdOQS4FK9S92PTP517pLMIqFKqD/dvKKn0DoQV9fCq/vg8/3CvsZhPr++yef2Za3L1dddrG8/bzTXa3oF7p0X1f8XXWP/qfVvfpvqW+Uezu4fD9+/wgks0dcup/McU3CWXGPfhJGMbnnwKX7yR3bUj8zLt0v9RFMdv+5dD+e4xtq0C/0WII40eQ+C9HPPfr6vIaPTsmJe3bIhHoL9onlq2VVVU2cTpe+JFSAoJ/QgU3AaRH0EzCICT4Fgn6CB7fET42gX+IDmPDuE/TjOcChBv3cEB1Hktw++tl13z4/e/f9z7W2y581t8XxtOlTwgQI+gkb0ASdDkE/QYOZwFMh6CdwUBNySgT9hAxkQk+DoB/PgSXo54xLvjcj9JUI23futUquXb08/ag9+9C5Lt3XZX54ZFCuPLRfTq2tkx8uWRnPmVBCvWLXfefBIug7G1EiGgF23Y/GnVbdCRD03TlRKnwBgn745rToXoCg794qzJKhBn0dmN+54SzZdMX7wzzHwNtyCvq6A6fsfVV61S78P166Sk6uqQ28T0lugKDvPLoEfWcjSkQjQNCPxp1W3QkQ9N05USp8AYJ++Oa06F6AoO/eKsySoQb9fM+gD/Nkg2rLTdC/tqdL7h7sk0+1tMk1Ley+72csCPrOegR9ZyNKRCNA0I/GnVbdCRD03TlRKnwBgn745rToXqDcgn6+zeXD3lTezeiEGvT1ZfFzveII5AbRTdD/+egR+WDnXjm2ulYeX7bKTbWUQaBoAYJ+0XQcGLAA9+gHDEz1vgQI+r74ODhAAYJ+gLhU7VugXIL+1m07rCeyXfzu8+QLn/t42u26m263vs78mW9UAxWEGvQN9DeWVbgJ+rrjb963U3ZPjMv3Fi+XN9c1xvJc6FQyBAj6yRjHJJ4FQT+Jo5qccyLoJ2csk3YmBP2kjWiyzqdcgn4pPEEuc2YR9A38c+Y26G8+fEi+1t8rlze1yOa2DgMtUwUC+QUI+syMuAoQ9OM6MvRLCxD0mQdxFSDox3Vk6JcWCCLob+/ZLtsObgsdeG3bWlm3aF3edqAD9N0AACAASURBVEvhCXKRBn19n/71X/xGFt7ma6+UjRedH/pAmmrQbdD/7dio/O6B3bKoqkqeXX6cqebLrh7u0XcecoK+sxElohHgHv1o3GnVnQBB350TpcIXIOiHb17uLY5OjsjYxJiMTo3K6IT6Wn8eVx/q89ik+qx/PzkmI+p3V55zqXGuB7c/KO/51nuM1+tU4UVrL5If/vcfzipmX7Z/z603yPp1pZHjQl3R33LHfXLb3Q9IJpCNdtVlF5fsbvxug76eMe9WQf95FfjvWrRM3tUwz2mu8fs8AgR952lB0Hc2okQ0AgT9aNxp1Z0AQd+dE6XCFyDoh28eRYtTR6fSAVqH61E7UE+NqdA9KiNWuNbBOxW27e914LbK6zCufq7L6iBufa2OHR1PBXUdynVZK7Tb5VV4T3+vy+u61LFeXkf/5qiX4q7K6hX9q390tauyJgvpFf1bfueWvFWyoj+HtN6h8IPvu2BWoNdvANz7g4flsfu3mByn0OryEvS/2t8jNx/ulj+c1yz/0L44tD4mqSGCvvNoEvSdjSgRjQBBPxp3WnUnQNB350Sp8AUI+uGb52txYmpcBscGZWh8UAbVx9DYQOpr/bMJ/f3M747YP7c+D8jwxLAVzlOr4dMf0yvl9sq4rj8ur9rKOqmrUR/6c3W9WN+rTcXrqtTXVfbPaqVe/e7fP3J/XLodaD+4R38O3kLvgtiX8yd5132bZcf4mGzYv0vqpEJeWrFGaioqAp2QVF6eAgT98hz3Ujhr7tEvhVEq3z4S9Mt37ON+5gT94kZoeOKIFcKPqBBuhXH1oQN6KoTrkD6kPlKfre8n1Pfqsx3ms36nyuiQHuSrsqJyOkjrQJ0ZsOuscF0/HbJrq9TvVcBOh/CM7+3f6WCuQ3jm96k6VV3T4T3ze6t+u7xqx8sriHv0vbQfVlk7s+buuq8Xrfd1HirvXfdZ0U9Nwz/o3CO/HB2WLQuXyPsb54c1N2mnjAQI+mU02CV2qgT9EhuwMusuQb/MBryETrccgr6+bN1aEbdC+UwIT4fu9O/slfPZAX0msKfK6DpNvqora6Sptknm1TRZnxur9ef56vt51ufG6nnp382r0T9XZWtTv2uobkivhlshXK2WW4HbCu+plXFdfym+yiXo22OT+8j4ttb5sbwynXv0DfzT5OXSfd3cNwf65K97u+R31D36d6p79XkhYFqAoG9alPpMCRD0TUlSTxACBP0gVKnThEAcg/5ROSoDo/3SN3o4b0BPh+7pVfNZq+SjMyvouqxefTf9aqhutEL4PB3GVQhvqkuFcjuE26HdCuR2eNef09+nwrsV5lVg16Gc12yBcgv6pTIHQg36GqWcd923J8XBqUk5fc8O69uty9dIW1VlqcyXWPSTe/Sdh4Gg72xEiWgEuEc/GndadSdA0HfnRKnwBYII+kfUZer9I33SP9YnA2P90q9Ce//Y4emv1c9Hp383HeYHxvXv1c/UMbq8/jD50petz9Or5Rmr5OmAPr1q3qh+32StlM+soNsr6tll9Up6k1RVVJnsInUVECDox3NqhB7048ngr1deV/R1a398cJ/8ZHhIvtDWIX/U1OKvA2V2NEHfecAJ+s5GlIhGgKAfjTutuhMg6LtzolT4ArlBf1ztjN6vg/fIYRW+dejWwVyH9emgbgX3md/1WeFcB/eZMhNTE75PpLmuRZprW6YvZ09dqm5d0p61Kp79vRXI9eXs04HdDuiNKrzzKk0Bgn48x42gb2Bcign63xvqlz/v7pQ31zXI9xYfY6AX5VMFQd95rAn6zkaUiEaAoB+NO626EyDou3OilD+Bo0fVJe86cFvhfGZFvU+F9tRK+Uxo12Fefz+kPh9WYb1Pl1efRyaH/XVCHa0va7eD+vy6ZmlRoX2+Cu3Ntc3q563qa/1ZfT8d5nWZ5prs7313ggoSIUDQj+cwhhL09YYFV112sdx29wNzKpTDrvs2wIjaHOQEdfn+hPpj/8SyVbJKPa6CFwKmBAj6piSpx7QA9+ibFqU+kwIEfZOaya5rYnJcekZ7VPjukV71uXd45ms7vGdeFq/vY7fDvb6v3e9Lb9rWrIN3basVzOerMJ4O6tbPp0O7/lqFdquM+llLvfq5Duvq++qq0tz4za8dx5sXIOibNzVRYyhB30RH41xHMSv6+nw+eeiA/NuRAbmutV0+2dwW51OkbyUmQNAvsQEro+4S9MtosEvwVAn6JThoBrqsg3nvaLcV1ntHejO+VuF9OsTrMJ8Z6v3en65Xy1vqp1fNVfBOrahnr6Jnrq4fo/5bsbaiST1ebb610q5X43khEBcBgn5cRiK7H6EGfb2yv/naK2XjRedn9UI/e/DeHzwcy8cSuBm2YoP+g0cG5YpD+2W9erzGg0tXummKMgi4EiDou2KiUAQCBP0I0GnStQBB3zVVLAuOTAyroK4DeUZYH1Vfj0yHeDus61V4q1xqNX5SbZLs9aU3eVtQ3yYLGtqltW5B6uv61NetKsCnL33Xl8KrVXR9yXtmuPfaXhCb8XntA+URKCRA0I/n3IhF0Ld34i+nS/ft6XDKnleld2pKfqSC/ikq8PNyFuAefWcjgr6zESWiEeAe/WjcadWdAEHfnVPQpfRj21Kr6yqg60CeFdang3tmWJ/+utjHs+nV9AV1Oqjr4N4mrbWpzzq465+11qsgX6e+1j+zQn27dd96mC+CfpjatOVVgKDvVSyc8rEI+tfddLs8/tTWslvR10N8XW+X/MtAn2xSl+5fqy7L4uUsQNB3NiLoOxtRIhoBgn407rTqToCg787JS6nBsYHssG6vuE+HeB3kMz/0pfJ6Rb6YV21lXSqM6w87rKsA3zod4K0wn7kCr75eULugJO5VJ+gXMyM4JiwBgn5Y0t7aCTzo26v1Tt3Kd0m/0zFx+X2xl+7r/j8xOiwf6NwjK6pr5JfLVsfllGLdD4K+8/AQ9J2NKBGNAEE/GndadSdA0Hd20o91OzR8MPVx5KB0D3elv9Y/s75XP7d/PzY16lxpnhJZq+g6qFshPfXZCu72hw7uKqzr3+lHuyX1RdBP6sgm47wI+vEcx8CDfuZpF7pHP5407nvlJ+jrVi7cv1NeGh+Xby5aJu9u4Bmi7uUpWUiAoM/ciKsA9+jHdWTolxYo16CvL5M/NB3Yu6dDevfIIetn3dOBPhXuu0Q/As7Lq7F63vRl8Cqg54T1tjxh3b7PvaKiwksziS9L0E/8EJf0CRL04zl8oQb9eBL475XfoP+P/T1y0+FueWd9o/xzx3L/HaKGshcg6Jf9FIgtAEE/tkNDxxIU9PUz1u1V9VRQn1511yvu6dX21M/07yemJlyPf3VltbQ3LJKF+qOxQ9rrF0p74/T30z/Tv7PKqJ+zO7xr2jkLEvTNOFJLMAIE/WBc/dZK0PcrqI73G/T7Jqfk1H07ZOLoUTblMzAeVCFC0GcWxFWAoB/XkaFfWiDOK/oFL5VXIT61+m5fSn/Qel67l5feWG5hQ4cVzGdCuvp+OtDPBPkO65J5XuELEPTDN6dF9wIEffdWYZYMNehv3bZDLv3EjQXPrxx33bcx/rqnS7452CcfaWqRm9s6wpwDJdcW9+g7DxlB39mIEtEIcI9+NO606k4g7KCvL4PvPLJfuo4ckM6hA+nPB4c6p++DVyF+egVe70Tv9qU3pbNDu/7crkP89Ap7KsjPhHr9fU1VrduqKReRAEE/IniadSVA0HfFFHqhUIP+ho2b5Pxz1su5Z54kX77tO+ld9i+5/Hp554azZNMV7w8dwESDflf0dR/0Pfr6Xn39enb5sbKoqtpE1xJZB0HfeVgJ+s5GlIhGgKAfjTutuhMwFfT1LvKdg/tnh3gd6NXPu1So18FeX2Lv9tWmNp3Tq+72JfH2art1+bwO7+oS+lS47wj90W9uz4FyxQsQ9Iu348jgBQj6wRsX00KoQd/ejG/NqmXyp9d9JR309c78mcG/mBOJ8hgTQV/3/2OH9st/HBmUv1CP2vsMj9orOKQEfefZTtB3NqJENAIE/WjcadWdgFPQ15fH69X3AwN6FX72Sry9Mj826W6n+fm1zbJ43lLpmLdEFjcukQ71sbhpiSxqXCwL61P3wNuX0ldVVrk7CUolUoCgn8hhTcxJEfTjOZSRBP2NF50vOvTbl+rbj+Ar50v39fT42ciQ/LeufbJEreY/rVb1eSFQrABBv1g5jgtagHv0gxam/mIE0gG9slte6XpdDqhV9wND0yvvKtjrFXhdxu2mdS11rakAr4O7CvGpz0tTX+tQP/2zJD8Orphx4JjCAgR9ZkecBQj68RydUIO+vkT/pONXyRc+93HJ/Pq6m26Xx5/aml7hjydV4V6ZWtHXLfxe5+vym9ER+ZK6T//D6n59XggUI0DQL0aNY8IQIOiHoUwbtoDelG7vwB7ZN5j66LTCu7qk3r4ffvpSerf3v+vL51Or77kh3g7zqSDPTvPMQdMCBH3TotRnUoCgb1LTXF2hBv3cbutVfft1z603yPp1x5k7sxBrMhn0v6M25Ltabcx3em2d/PuSlSGeBU0lSYCgn6TRTNa5EPSTNZ5Rno1eXd87+HoqxKswv3dg5ut9Q6nv+0f7XHVRXx6vV91XtC6XBXUd6uvp1fesFfklUltV56o+CiFgWoCgb1qU+kwKEPRNapqrK9Kgb+40oq3JZNDXZ/LGva/J/skJ+ddFy+WChsZoTy6GrXOPvvOgEPSdjSgRjQD36EfjXoqtdh3pzA7xKrxnBnq9Ou/0aqyZJ8uajrE+ljevsFbi05fS63vircvol4p+Nrx+Od2j79Qev0cgKAGCflCy1GtCgKBvQtF8HaEGfXszPn2PfpJepoP+P/R1y//o65GLGubJHYuWJYnKyLkQ9J0ZCfrORpSIRoCgH4173FrVl9TvG9ybCu4FVuXHpube0K6iomImxDetkGXzU4HeDvXL5h0j+lJ7Ly+CvhctyoYpQNAPU5u2vAoQ9L2KhVOeoG/A2XTQ75mcklP3vmo9MfehpavkxBqeb5s5TAR950lL0Hc2okQ0AgT9aNzDbFVfUm/fE591Ob26xN4K9Src940eduySDuk6rC+fPxPira+nw7z+rMO+yRdB36QmdZkUIOib1KQu0wIEfdOiZuoLNejrDfjeueEs2XTF+830Pia1mA76+rSuU/fp/4u6X//y+a2yecGimJwp3SgVAYJ+qYxU+fWTe/RLf8wPDncVvCdeh/gDQ/scT1JvVmetvGeGeB3gM1bl9WX3Yb8I+mGL055bAYK+WynKRSFA0I9C3bnNUIP+1m075E+v+0rJ7q5fiDOIoP/C+Ji8a/8uqVarFb9dfpy0VlY6jyYlEJgWIOgzFeIqQNCP68ik+jU4PiB7+6d3qZ++J16vzlsr89O7149OjjieRO7Ke3agX+H5knrHBg0VIOgbgqQa4wIEfeOkVGhQgKBvENNgVaEG/cxd9vOdw/OP3GXw1MKrKoigr3v/Jwf3yY+Hh+Salnb5VEtbeCdESyUvQNAv+SFM7AkQ9KMb2smjk7PuiU9fYt+vgrwK9odHeh07aF9Sb6++p0N8xmX2FWL2knrHThkqQNA3BEk1xgUI+sZJqdCgAEHfIKbBqkIN+gb7Hauqggr6Px0Zksu69snyqmp5avmxsTrnKDvDPfrO+gR9ZyNKRCPAPfrBuuud6Hf1vSa7B3bK63071edd0593WqvyTi/7kvqsEN+0POsy+8bq8C+pd+q3qd8T9E1JUo9pAYK+aVHqMylA0Depaa6uUIN+oV33t9xxn9z7g4dL9pL+oIK+Hub3HNgtz42Nyv/Xvlg+MK/Z3MiXcE0EfefBI+g7G1EiGgGCvj93vVv96yq871Yh/vX+nbKrX4V6/fX0z0Ymh+dswNrITt0Hv1zvUp9xT7y9Kt9ev9BfB0v8aIJ+iQ9ggrtP0E/w4Cbg1Aj68RzEWAT9+x98XK7/4jeES/dnT5JvqQ35/kptzHdWXb08sHhFPGdRyL0i6DuDE/SdjSgRjQBBf273qaNTKrSrlfjM1fjpQK9X6LtHDs1ZwcKGRbKiebWsnP5Ifb1KVrYcKyvmr5LKCvZ7mQuQoB/N3wVadRYg6DsbUSI6AYJ+dPZztRyLoH/dTbfL409tZUW/wEidsWeHdE1Nyj0dy2VDfWM8ZxK9ipUAQT9Ww0FnMgS4R19kYnJcXut/VV47rD76tsuO3u2ys3+HCvdqdV6F+rle+tJ6HdzTYX7+alnRslpWNasg37JKmmrmM998CBD0feBxaKACBP1AeancpwBB3ydgQIcHHvTt1Xqn/m++9krZeNH5TsVi+fsgL93XJ3xLX7d8ua9H3tvYJLcvXBpLAzoVLwGCfrzGg97MCJRT0N/Z96rs0GH+8HYr0Kc+71D30O+Yc0ocM39lOsivUivyOsivVIF+pfrc0biE6RSgAEE/QFyq9iVA0PfFx8EBCxD0AwYusvrAg35mvwrdo19k32NzWNBBv2tyUs7Ym/oPw0eWrpI31NTG5tzpSDwFCPrxHBd6JZK0oL9nYPd0gNehPhXmd6ogr4P9pLoSq9Dr2Na1cmzLcZL6vFZWt6yR1a368vrVUl1ZzVSJSICgHxE8zToKEPQdiSgQoQBBP0L8OZoONejHk8B/r4IO+rqHf9XTKd8a7JePNDXLzW2L/Xe6hGvgHn3nwSPoOxtRIhqBUrxHX+9kv0OvyPemLrW3Vuqnv5/rmfIr1CX2OsAfqz6OU4He+rpVf6yVqoqqaAaAVucUIOgzQeIqQNCP68jQLy1A0I/nPCDoGxiXMIL+y+OjcsH+3VZvH1Wr+mvKeFWfoO88aQn6zkaUiEYgrkFfb3L3mrpX3rpnXl1ur8O8dam9+npwfKAg1pKmZXJsswrvC3SgT4V5Hep1oK+rqo8GmVaLFiDoF03HgQELEPQDBqZ6XwIEfV98gR0cetDfsHGT9BzO/x9N7Lo/9zj/hdp9/9tqF/6PNLWoVf2OwCZF3Csm6DuPEEHf2YgS0QhEGfT7R/tSK/H68nprI7zpy+3Vzw6P9BYE0Y+cO3ZB6hL79OX21gr9cTK/lseeRjOTgmmVoB+MK7X6FyDo+zekhuAECPrB2fqpOdSgf8nl10t7W7Pcecs1fvocu2PDWNHXJ/3y+Jha1d9lnf8P1KP2zlSP3OOFQD4Bgj7zIq4CQd+jf2R8yArw1up8xs72+vuDw10FWZrrWuQ4HeR1gNeX19uX26vV+gUNbXHlpF+GBQj6hkGpzpgAQd8YJRUFIEDQDwDVQJWhBn024/M/Yn/Xe0huG+iVCxsa5e5Fy/1XSA2JFCDoJ3JYE3FSJoK+ftb89t6XrM3v7Evsrd3t1cr8/sG9BZ0aq+el75HXQd66X15fbq8+dzSW994niZhcBk6CoG8AkSoCESDoB8JKpYYECPqGIA1XQ9A3ABrWir7u6oDaxfnN+3dK7+SU/FP7Evm9eTwz2cAQJq4Kgn7ihjQxJ+Ql6A+M9curvS9boX57zuejcjSvSU1VrVqZT214l9r8bq26Z17taK9W5pfNPyYxjpxIMAIE/WBcqdW/AEHfvyE1BCdA0A/O1k/NoQZ9fen+OzecJZuueL+fPsfu2DCDvj75b/Qflr85fFBOrK2Vh5asip1H0B3iHn1nYYK+sxElohHId49+70iPvNjzvLzS82JWqN878HrBTuoQv2bBG6xL7FOPqNOPp1sjq5qPjebEaDURAgT9RAxjIk+CoJ/IYU3MSRH04zmUoQb9+x98XL5823fksfu3xFOjyF6FHfR1N999YLc8PzYqn29dJB9rbi2y56V5GEHfedwI+s5GlAhfYHxyTLZ1bpVf/eBh2X9Kr7ykwv2LPS/IvoE9eTujd61fu+B49XFC+vMa6/vj2dE+/OErixYJ+mUxzCV5kgT9khy2suk0QT+eQx1q0Nf36M/1Ytd995PkP44MyscO7Zfmygp5ctlx6nOl+4NLvCRB33kACfrORpQIVkDvbK9D/EvdqTD/UvcL8nLPNqlX//u0+t8X1f/s17yaJjmh/SQ5oe2krGCvV+15IRCmAEE/TG3a8iJA0PeiRdmwBQj6YYu7ay/UoO+uS6VXKooVfa30xwf3yU+Gh+Rj81vl8wsWlR4cPQ5MgKAfGC0V5wh0HelMhXkV5F9Sgf5F9bUO9UcmhvJa6UB/2uL1snr+CSrcnywnqu8J9EyruAgQ9OMyEvQjV4Cgz5yIswBBP56jQ9A3MC5RBf1nR0fkvZ2pe1j1vfr6nn1eCGgBgj7zwLTA8MQRK8BvO/Rf8lKvDvSp1Xod9PO9ls9fYa3Qn6jCvA73+vOJ6vu66lpZ2FInnb0jprtIfQj4FiDo+yakgoAECPoBwVKtEQGCvhFG45WEHvT1hnzbd6Yef7T52itl40Xni76k/9wz18mdt1xj/ATDqDCqoK/P7dqeTrl7sF9+r7FJ/mnh0jBOlzZKQICgXwKDFOMuvtL7ohXq9SX3L6pgr0O9fnRdvpd+/rwV5lWIX9d+SirUt50srfUL8pb3sut+jInoWkIFCPoJHdgEnBZBPwGDmOBTIOjHc3BDDfo65Le3NVuBfsPGTfLZqz5kBf0td9wn96rNmUp1k74og37X5KS8ad9OGVXPlb570XK5sKExnjPNYK+4R98Zk6DvbEQJsZ45n7rkPnXp/YvdKtSrcK83zct9VVVUzVqh1+F+RbO3J3/k23WfsUAgLgIE/biMBP3IFSDoMyfiLEDQj+fohBr09cr9PbfeIOvXHZcV9PVu/Nd/8RvCZnzFTZKv9vfIzYe75ay6BnlgcfKfE03Qd54nBH1no3IqMTDabz2+zr6H3g73PcPdeRn0I+rsy+2tzwtSl99XVFT4ZiPo+yakggAFCPoB4lK1LwGCvi8+Dg5YgKAfMHCR1Yca9PUq/te+8JlZQT/KFf2PXn2zPPnMtjTf2tXL5ft3bc7izLzdIN/vo1zRtzv6FrWqv3NiXG5u65CPNLUUOR1K4zCCvvM4EfSdjZJYYkpd2ZO65D61IZ61MZ66n3533868p9tevzC9IZ61MZ5aodeBfn5tc2A8BP3AaKnYgABB3wAiVQQiQNAPhJVKDQkQ9A1BGq4m1KB/3U23y+NPbbUu0bcv3V+zaplc+okb5eJ3nydf+NzHDZ+ec3W6H5m3DOjvzz9nfbov+o2A7p7+dPjPvP3Arj0OQf97Q/3y592dsrSqWn65bLVUG1h5c9ajRFwFCPpxHRlz/dLhPbUp3nSonw73OuznvvTz6PXu9vYu9yeoe+j190vmLTPXIZc1cY++SyiKRSJA0I+EnUZdCBD0XSBRJDIBgn5k9HM2HGrQ1z2xL9PP7NVVl10sm654fyyE9JsRL7y8Kx3sM/cSsPv/5du+k/XmQByCvu7bB7r2yhMjR+TTLe3yly1tsfCkE9EIEPSjcQ+i1cGxAXn+0HPywqGtqVA//Qi7gbH+vM2tWXD89Mr8zAr92gUnBNG1ouok6BfFxkEhCRD0Q4KmGc8CBH3PZBwQogBBP0RsD02FHvQ99C2SonrF/qTjV1kr+lu37bCuNrD3FdAdyvezuAT9J0aPyAc6U080+IVa1V9ZXROJIY1GL0DQj34MiulB70iP/LbrGfmvg89a4f75g8/Jq4dfzltVR+MSWbfQ3uV+ZrW+vqqhmKZDO4agHxo1DRUhQNAvAo1DQhEg6IfCTCNFChD0i4QL+LBQg759P3zupntxebyeXs1/4MdPpDcFdBv0ewZm71Ad8LgVrP4Tnfvl3oE+ubS5Vf6xY0lU3Qi03Xv+9U55x7vfK4s6FgfaTilXXlNdKXU1lTI4PFHKp5Hovo9MDMtvOp+WZzufkWcPPG19/WrvK7POWe92f8qi02R9x2lykgr2+mPdwpNlYeOikvQZHxuRu75xq3zsTz9Tkv2n08kWaG2qkf6hcZk6muzz5OxKT6CpoVpGx6dkfGL27Vmldzb0OGkC+o0oXvETCDXo68vgP/i+C2Zdph/lZnz2kOg+3Hb3A46r9/nC/8jYZGxGdvvYqJy+/VWZPHpU/veKFfL7zcFtqhXVSX/zzq/Le997sXQsJugXGgO9aqo/xvgPgqim6ax2f3PgGXl6/6/lGRXq9efnOn87q0xDdYOcufQsOX3xGXKqCvanLT5dTl18mpHd7uMCMTo6Krd9bYv8+Wf+Ii5doh8IpAXqaqqsv5tH1b9DeSEQJ4Fa9Qb+pHoHSn/wQiBuAvpKUl7xEwg16OuV+83XXikbLzo/SyLqx+vlruRndq6U7tG3+317f6/87eFD1qX7jyxdKXUVlfGbeT56xK77znhcuu9sFGSJV3pftC7Bf0596M/6I9+z6U9dpAP9mXJax1kq1J8pJy88NchuxaJudt2PxTDQiQICXLrP1IirAJfux3Vk6JcW4NL9eM6DUIN+HFf09T35+pX7SD17uEpl1/3c6fWHnXvkF6PD8sfqUXs3qUfu8SovAYJ+eOO9Z2B3Tqh/WvpH+2Z14A1tJ8ppi860gr0O+DrY11bVhdfRmLTEPfoxGQi6kVeAoM/EiKsAQT+uI0O/CPrxnQOhBv25Lo+PYud9+zL8fMOTeeWBfjNg+87UJndrVy+f9aZAXDbjyzyPZ9V9sO898Lr1o68uXCJ/0Dg/vrOQnhkXIOgbJ7Uq7B45JL9V99Q/1/V0eqW+c2j/rMaOaV6pVunPlPU60Ktwr1fsW+pbg+lUidVK0C+xASuz7hL0y2zAS+h0CfolNFhl2FVW9OM56KEGfU2Q7/F6+S7njydX/l7FMejrnt4xcFhu6D0oTZWV8qMlK2U1u/CX0rTy1VeCvi8+6+AjE0MzK/Uq3OvL73f2vTqr4vaGhWqVXl+Cry6/t0L9mbKkKfzn0/s/43BqIOiH40wrxQkQ9Itz46jgBQj6wRvTQvECBP3i7YI8MvSgH+TJRFV3XIO+9vizQwfk/iMD8tb6Rvl2x/KoiIy2yz36zpwEI79bCAAAIABJREFUfWejzBJH5eisy++3HfqvWZU01syzLrs/VV12rwO9DvbHtq711liZl+Ye/TKfADE/fYJ+zAeojLtH0C/jwS+BUyfox3OQCPoGxiXOQb9vckp+p3O3vD4xLp9uaZO/bGk3cMbRVkHQd/Yn6M9t9FLPtqzL7/WmeRNTsx9FqMN8arO81OX3Jy1c74xPiTkFCPpMkDgLEPTjPDrl3TeCfnmPf9zPnqAfzxEKPejrDfl6Dg/k1Xj+kbviqeTQqzgHfd31nw4fkcsOpvYYuHvRcrmwobEkne1OE/Sdh4+gP2O0u39n1u73OtQPjPXPQjy+bd1MqJ++BL+6qsYZmxKeBAj6nrgoHLIAQT9kcJpzLUDQd01FwQgECPoRoLtoMtSgrze1a29rljtvucZF10qnSNyDvpb8Un+PfOVwt6xQ9+nr+/Vb1H37vJIrUK5B/+BwVyrUd6Y2y9Nfdx3pnDXQK5pX5YT6s2R+XXNyJ0SMzox79GM0GHRllgBBn0kRVwGCflxHhn5pAYJ+POdBqEH/5LdfLqW+8V6+YSyFoK/7/eGuvfLoyBG5RO3A/zW1Ez+v5AqUS9D/zYFfyTOd6uPAU/Ib9XlX/2uzBnVhw6JUqF+sNsubvq++Yx7zP6rZT9CPSp523QgQ9N0oUSYKAYJ+FOq06VaAoO9WKtxyBH0D3qUS9Heq+/R/Rz1yb3BqUm5c0CFXzG8xcPZUEUeBJAZ9vQv+k3ufkKf2PyG/2veEPK3C/djUaBb/vJqmjHvqU/fWr2o5Lo5DVLZ9IuiX7dCXxIkT9EtimMqykwT9shz2kjlpgn48hyrUoK8v3X/nhrNk0xXvj6dGkb0qlaCvT+//qB34P6V24tevf1+yQk6vrS/yrKM7jHv0ne2TEPQPj/TKk/t/Lk+pUK/DvV61z33p++rPXHJO6qPjbFm38BRnHEpEKsA9+pHy07iDAEGfKRJXAYJ+XEeGfmkBgn4850GoQf/+Bx+XL9/2HXns/i3x1CiyV6UU9PUpfq6nS/55sE9Ora2TH6r79UvtRdB3HrFSDPqdQ/vTof7JfT+X5w89N+tEz1pyrpy77C1yzrLz5KzF50pbQ+k/RcJ5NJNVgqCfrPFM2tkQ9JM2osk5H4J+csYyiWdC0I/nqIYa9PU9+nO92HU/vEly0YHdsnVsVC5vapHNbR3hNWygJYK+M2IpBP3dfTvlqQNqtX6vWrXf/wt5pffFrBOrrqyWs5eelwr2S99shfuG6tJ+YoTzyCW/BEE/+WNcymdI0C/l0Ut23wn6yR7fUj87gn48RzDUoB9PAv+9KrUVfX3Gvxkbkd9T9+vr12Z1v/7l3K/vfyLEqIY4Bv3tvS+pFftfWJfj63vsczfOa6yeJ+cuP0+F+vPkbBXqz1lynlRVVsVIla6YEOAefROK1BGUAEE/KFnq9StA0PcryPFBChD0g9Qtvm6CfvF26SNLMejrzv/rUL9c05169Njdi5bLhQ2slhqYDrGoIg5B/4XurWrzPL1ar1btVbA/MLQvy2ZBQ5sV5vVKvQ73+j57XskXIOgnf4xL+QwJ+qU8esnuO0E/2eNb6mdH0I/nCIYe9PV9+td/8RtZGqX+yL1SDfp6EDb3HpKvDfTKgspK+d7iFXJiTW08Zyq98iQQRdB/tvPXWZvn9Qx3Z/V58byl6VCvg/0pi07zdE4UToYAQT8Z45jUsyDoJ3VkS/+8CPqlP4ZJPgOCfjxHN9Sgv+WO++S2ux+Qe269QdavSz3yauu2HXLpJ26Uqy67uGR34y/loK/H4P/pPiD/d2hAjq2ulW93LJMV1TXxnK3TveIefefhCTroH5WjojfM0yv1v7JW7H8hg+MDWR1b2bLaWrG3LsNX99jrHfJ5IcA9+syBOAsQ9OM8OuXdN4J+eY9/3M+eoB/PEQo16G/YuEk++L4LZgV6/QbAvT94uGR34y/1oK+n5oe79smjI0NyslrRv6djhbRVVcZzxqpeEfSdh8Z00B+dHEldhn/gF+md8ccnx7I6snbBCWrFXm2ap1brz1Eb6K1qPta5o5QoOwGCftkNeUmdMEG/pIarrDpL0C+r4S65kyXox3PIQg36etf9fJfp25fzs+t+dJNk6OiUCvt75enRETmnrl6t7C+X+op4hn2CvvM88Rv0+0f70vfW63vsf6V2xc99ndS+PnUpvvrQO+MvmbfMuWOUKHsBgn7ZT4FYAxD0Yz08Zd05gn5ZD3/sT56gH88hCjXos6Ifz0lg96prclI+fHCPvDg2Jheojfn+VW3Qx6s0BbwG/YNHuqxgn7oM/wn5bdczs0789MVvTIX6pfpxd+fxDPvSnBqR95p79CMfAjowhwBBn+kRVwGCflxHhn5pAYJ+POdBqEGfe/TjOQkye7VzYsy6jH/3xLi8t7FJbl+4NP6dpoezBJyC/t6B12dW7NWz7F889HxWHRVSMX0JfuoyfH2PfVPtfKQR8C1A0PdNSAUBChD0A8Slal8CBH1ffBwcsABBP2DgIqsPNejrPrLrfpEjFeJhz4+Pyoc790r31KR8cF6zfKV9cYit05QJgdygv6tvh/xy3+Mq3Kfusd9x+JWsZuqq6qdX62ced1dTxRMYTIwFdWQLEPSZEXEWIOjHeXTKu28E/fIe/7ifPUE/niMUetCPJ4O/XiVhM75cgadGhtVl/Htl5OhR+ZP5rfL3Cxb5QzJ4NPfoO2MOjHfLkwd+Jj9+5SF5Yu9j8lrf9qyD5tc2Wyv25y5PXYZ/tlqx54VAGALcox+GMm0UK0DQL1aO44IWIOgHLUz9fgQI+n70gjuWoG/ANolBX7M8PHxEPqLCvn59srlNrmttN6DlvwqCfn5DvWL/2OsPy6OvPyTPHHgqq9CChjapq6yXq874tLVyf1rHmf4HghoQKEKAoF8EGoeEJkDQD42ahjwKEPQ9glE8VAGCfqjcrhsLJejb9+ZfddnFeR+td9vdD0i+37k+i4gLJjXoa9Z/PzIoHz+03xL+dEu7/GVLW8TaPF7PHoDX+3fJo3t+Ko/ufkgeU5/7Rg6nx6a6slouXP0OOXvJBjlv+VtFb6THC4E4CBD04zAK9KGQAEGfuRFXAYJ+XEeGfmkBgn4850EoQf+Sy6+X9rZmufOWa/IqfPTqm6W7p1++f9fmeCo59CrJQV+f+neH+uXT3Z2WwseaW+XzrfG5jL8kJ0yRnZ5UeyY8+vpP1aq9Cvd7HpJth/4rq6YT2tbJW1e+QzYcc6G8a827pLWxQXoGsp91X2TTHIaAMQHu0TdGSUUBCBD0A0ClSiMCBH0jjFQSkABBPyBYn9WGEvRPfvvlsvnaK2XjRefn7a69Qd/zj9zl83SiOTzpQV+rfv/IgPzpoQMW8IebWuRLbR3RYJdZqy/3bJsJ97t/KmNTo2mBppr5KthfKG9docL9igtkdcua9O+cdt0vM0ZON0YCBP0YDQZdmSVA0GdSxFWAoB/XkaFfWoCgH895QNA3MC7lEPQ100PDQ3KFuox/XG3Q97sN8+SW9iUyv7LSgCBV2AKDYwPqMnx1n711Of7D8trh7E30Tl98lrVirwP+ecvfVhCOoM+ciqsAQT+uI0O/tABBn3kQVwGCflxHhn4R9OM7B0IJ+hs2bpLPXvWhOVf0v3zbd+Sx+7fEV2qOnpVL0NcEvxwdlo8d2ic9k1OytqZWvrygQ95Y3xDquCVtM77fdj2Tuhxfffx8zyNZlosaOqYvx7/A+rx43lJX1gR9V0wUikCAe/QjQKdJ1wIEfddUFAxZgKAfMjjNeRJgRd8TV2iFQwn61910u7zw8q6C9+A73cMfmkaRDZVT0NdEuybH5bOHOuUXKvTr1/9sWyz/ram5SD3vh5V60D80fNDaGd/aIV+t3B8Y2peF8KZl56vL8fWq/TvkjMVnewdSRxD0i2LjoBAECPohINNE0QIE/aLpODBgAYJ+wMBU70uAoO+LL7CDQwn6uvd6VV+/clft9c97Dg9Iqd6fr8+p3IK+PRs/19sl/zzQZ337seYFapO+hYFN1MyKSzHoP7n/5yrUq4301O74T+9/MstpZctq2bA8tWKv77dvrmvx7UjQ901IBQEJEPQDgqVaIwIEfSOMVBKAAEE/AFSqNCZA0DdGabSi0IK+7rVe2X/gx09kncC5Z64ruBu/0TMNsLJyDfqa9K6Bw3J970FL9231jeq+/cWypKo6QO3SqFo/+s5asVe74+tV+77RmUffVVVUpTbRO0ZvonehrFt4ivGTIugbJ6VCQwLco28IkmoCESDoB8JKpQYECPoGEKkiMAGCfmC0vioONej76mmMDy7noK+HRV/Cf7V6/N7uiXFZWl1t3bf/NrVZXzm9po5OZeyO/5C80L016/SP14++m74cf8MxF0htVV2gPAT9QHmp3IcAQd8HHocGLkDQD5yYBooUIOgXCcdhoQgQ9ENh9twIQd8z2ewDyj3oa5HuqSkV9g/IT9TO/Pr1+QWL5GPzWw3oxreKV3pftC7Ht++3H50cSXe2qVY9+k4Fe71irz9nPvoujDMi6IehTBvFCBD0i1HjmLAECPphSdOOVwGCvlcxyocpQNAPU9t9WwR991YFSxL0Z2g2Hz4kX+vvtX6gN+jTG/WZfkV1j/7Q+GDqcny1kZ4O+K/1ZT/67rSOM9PPtH/LMW83fdqe6iPoe+KicIgC3KMfIjZNeRYg6Hsm44CQBAj6IUHTTFECBP2i2AI/iKBvgJign434vaF+ubqnSyaPHpU31tXL5rYOOaXG3KXqYQb95w7+JvVMexXwH1fPtc98LWrsSD/TXj/bfknTMgOzyUwVBH0zjtRiXoCgb96UGs0JEPTNWVKTWQGCvllPajMrQNA362mqNoK+AUmC/mzE346NWPftvzg+Zv3ymtZ2+VRzmwFtkSCDfvfIISvY62fa62fb7x/cm9Vn/ei7DSvUDvlqd/wzl5xj5HyCqISgH4QqdZoQIOibUKSOoAQI+kHJUq9fAYK+X0GOD1KAoB+kbvF1E/SLt0sfSdDPjziiNqi78XC3egRfasf5c+ob5Ab1CL4zausNqJur4sl9P1ePvUs90/7pA9mPvlvRvErtjm/fa/8OaakvjX0HCPrm5gc1mRXgHn2zntRmVoCgb9aT2swJEPTNWVKTeQGCvnlTEzUS9A0oEvTnRvzJyBG5UT2C79Xp1f0r1CZ9n1Sr+x1VVQb0vVexZ2B3+pn2+n77wyOpPQX0q6qySl2OP/1Me/X4uyAefee9x96PIOh7N+OIcAQI+uE400pxAgT94tw4KngBgn7wxrRQvABBv3i7II8k6BvQJeg7I06qIn93+KB8vT+1ul8rFbKpeYF8qqVNqisqnCvwUUI/+k5fhm9fjv/8oeeyatOPvrMvx9fPt6+tNLefgI9u+zqUoO+Lj4MDFCDoB4hL1b4FCPq+CakgIAGCfkCwVGtEgKBvhNF4JQR9A6QEffeIW8dHZUtfj/z7kUHroMVV1Vbg/xMPj+Jzc4/+Kz0vpi/H1wE/89F382qasp5pf2zrWvcnUCIlCfolMlBl2E3u0S/DQS+hUybol9BglVlXCfplNuAldroE/XgOGEHfwLgQ9L0jPjoyJFvU6v4T6rJ+/TqxtlYF/jbZ2DjfsbJ8Qf/IxNDM5fjq0Xc7Dr+SVc+pi86Qt658hxXwo370neMJGihA0DeASBWBCBD0A2GlUkMCBH1DkFRjXICgb5yUCg0KEPQNYhqsiqBvAJOgXzzi948MqMDfI9vGUrvzv7muQTapy/nfVt9YsFI76O87ui/9TPvcR98tbFiUfqa9DvhL5sXn0XfFa7k/kqDv3oqS4QoQ9MP1pjVvAgR9b16UDk+AoB+eNS15FyDoezcL4wiCvgFlgr5/xH8e7JOvqkv6D0xOWJX9bmOTFfhPrZm5X35ofFB+pnbG/9nu/5RHdv9E9KZ6ma9zl75FrdqrHfLVLvlnLT3Xf6dKuAaCfgkPXsK7zj36CR/gEj89gn6JD2CCu0/QT/DgJuDUCPrxHESCvoFxIegbQFRV6A37tvR1W5f060fz6ddFoztlae/T8vK+R+Xnex7Jamj5/BXyNn05vtodX6/at9SVxqPvzGjNXQtBPwxl2ihGgKBfjBrHhCVA0A9Lmna8ChD0vYpRPkwBgn6Y2u7bIui7typYkqBvAHG6iq4jB+Q/1Gr9N199ULarcC+jh7Iqf9Oy81W4f6e8fdW7RN93zyu/AEGfmRFXAYJ+XEeGfmkBgj7zIK4CBP24jgz90gIE/XjOA4K+gXEh6PtDfGLvz1Ib6and8Z/tejqrsvlNK2Vo4bkypT5k0Zvk5HkL5Q9/+p/ylgvfIycvKa/77r0oE/S9aFE2TAHu0Q9Tm7a8ChD0vYpRPiwBgn5Y0rRTjABBvxi14I8h6BswJuh7Q9Q74j/2+sPpZ9vre+/tV01VrboUX91nr3bH1x8ntp8k/VNTcre6h/9f1cfuiXG56mc/lftPP0tOUEH/YnUvv/5orKj01omElyboJ3yAS/j0CPolPHhl0HWCfhkMcomeIkG/RAeuTLpN0I/nQBP0DYwLQX9uxOGJI1nBfnvvS1kHnNS+3gr1+j77DcdcIFWVVQUr/PHwkLx437fl7tNOl33NLVa5avVxybxmeZ8K/O9qmGdgREu/CoJ+6Y9hUs+AoJ/UkU3GeRH0kzGOSTwLgn4SRzU550TQj+dYEvQNjAtBfzbi1oPPWo++s1fuM0ssqG9LBfvpVftj5q/0PAqDarO+B4YG5QH1eL7HRo6kj19cVaVW+OfLJerjjLp6z/Um5QCCflJGMnnnwT36yRvTJJ0RQT9Jo5mscyHoJ2s8k3Y2BP14jihB38C4EPRFDg0fzAr2+wf3ZsmevfTN6WCvvzb52qUu5/++Cvw69G8bG0tXfXJNrfyeCvwXNs6TUzIe02ey7bjWRdCP68jQL4I+cyDOAgT9OI9OefeNoF/e4x/3syfox3OECPoGxqVcg/4v9j1mrdg/qp5t/5vOX2VJ6lV6+5n2b13xDmmtX2BA2rmKp0dHrMD/wJFB6ZqcSB+wsrpGLqhvlLeqjzfWNchCtfKf5BdBP8mjW9rnRtAv7fFLeu8J+kkf4dI9P4J+6Y5dOfScoB/PUSboGxiXcgn6u/p3pIP9o3t+KgOj/Wm9qoqqVLDXl+Sr59qvW3iKAdn8Vdx3z13ytnf+rrQv7JizjR+p+/kfGh6Unw4fkf0ZoV8fdIJa7X+jurRfh379cZx6IyBJL4J+kkYzWefCPfrJGs+knQ1BP2kjmpzzIegnZyyTeCYE/XiOKkHfwLgkNeiPTY2mH3v3mAr2L3Vvy9LSO+Kn7rVPbaKnd8wP4+U26Gf25Tdqpf/hkSF5Un3+tfoYUff4Z74WV1Vbwf/sWhX86+vljNrSvr+foB/GTKSNYgQI+sWocUxYAgT9sKRpx6sAQd+rGOXDFCDoh6ntvi2CvnurgiWTEvT17vjPHHhKfrnv5/KLvY/JL9XHUfU/+9Vc15IO9nojvZXNqw3oea+imKCf28ozVuAfll+PpYJ/Z86Kf71UqMCvV/vVqr8O/+rz/MrSeYQfQd/7vOKIcAQI+uE400pxAgT94tw4KngBgn7wxrRQvABBv3i7II8k6BvQLdWgv7t/pzzT+ZQ8vf9JK+A/2/X0LI2zlp6rVuv1o+8ulHOXvsWAVjyreHViTH49MhP8Xx6f2dTP7vF6taHfqbV1cqL6WKcu/T9Rfb8gpvf6E/TjOc/olajHZ1bIwpY66ewdgQOB2AkQ9GM3JHRoWoCgz1SIswBBP56jQ9A3MC6lEPSPHj1qhXod6J+eDvf7BvfMOvvTF79Rzl76JnnTsg3yZvXRUt9qQKj0qjg0NWmt9Fur/tOfZ65tmDmfRZVVskqF/lXqHn+94d+q6mrr8+rqWtGP+ovqRdCPSp52nQQI+k5C/D5KAYJ+lPq0PZcAQZ/5EWcBgn48R4egb2Bc4hj0u450plbqM8L9+GT2KnV7/UI5c8k5olftz1Kf9df1VQ0GRJJXxYR6o+RX6jJ//fi+F8fVZ7Xi/6L6+kjOvf6ZZ95QUWkF/1Uq9K+sUZ+r9BsB6k2B6a+rKyoCgyLoB0ZLxT4FCPo+ATk8UAGCfqC8VO5DgKDvA49DAxcg6AdOXFQDBP2i2LIPikPQf/7Qc9Zq/a8PpC7D33H4lVlndmL7yXLW4lSg1x/Ht60zcPbhV2HiHn1Tvd43MS67Jsdl97j+PCG71fc71df6c7e6KmCu1zHTbwJYVwGoNwFWqysDlqirADrUxoBL1M/q1D4Bxb4I+sXKcVzQAtyjH7Qw9fsRIOj70ePYIAUI+kHqUrdfAYK+X8Fgjifou3C95PLrZfvOvVbJtauXy/fv2px1VNhBf0//bnmx53n5bdczasX+SXlaBfvMR93pzs2rabJW6s9Uwd5arVefw3qWvQtSX0XiFPTnOpH+qSnZpQK/Dv36s/W1ejNgl7oSQL854PRaUFUpreqxha0q/LeqjQBbpr9uUV+3qqsF9M9b1K0D2d9Xir6SgKDvpMvvoxIg6EclT7tuBAj6bpQoE4UAQT8Kddp0K0DQdysVbjmCvoP3R6++Wbp7+tPhXof+9rZmufOWa9JHBhH0+0YOW6vyr/a9oj5vt77e0Zv6Wu+On/ta3bImHeh1wF+/6PRwZ1KIrZVK0J+LRD/cb5faAHDXuLoKQIX+XdZVAGPSqd4c0E8AOKA+9O0CxbzqrTcBKqVNvREwX9QbBPpNAvWGgPWGgfqd9caAfpNAv3Fgfz1dprqYBjkGAQ8CBH0PWBQNXYCgHzo5DboUIOi7hKJYJAIE/UjYHRsl6DsQbdi4ST571Ydk40XnWyXvf/Bx+fJt35HH7t/iO+hPqku7rQDfNx3krTCf+lrfY1/o1dG4RN7QdqIV5q177NVq/ZKmZY6DTYHSEtCX/h+enJQ+Ff4Pq4++o/b36rN6EyD1O/v3E6rMUavsyBz7BjgJ1KrbBeapNwnm6asC1B4C+vtadQdBrfq+Vn+vv9Y/U28M1KrKUj+rlBr1dZ0uo3ZUr1HvT9SpzzM/Vz+brqtOHVejHtlo1WfVk91Gbj1VAe5j4GTB74MR4B79YFyp1YwAQd+MI7WYFyDomzelRnMCBH1zliZrIujPobl12w659BM3yj233iDr1x1nlcz92ejkqLx8oEsGx/plYGxAffSrr/N/tn4/2meVOzC0L+999HZ3GqvnyXGta+W4BW9Qn/XHWlmjPh/bsrZsd8I3OfGTXNeICtLDlSIjanl+9+BI+s0C/SZAr/XGgP5QbxRM6TcH1JsI+g0D9eZAv/o8ETMYvWGhDv/6DQX9RkLq60r1RoKoNxQy3yiolBfUJoln1daLfnNA/Vqq1BsJ+usK5aH/X+94oD8q7Z+pNyQqrK/1z1K/s77OKGv9XpfLLaPfgFA/T9VlH6c/67Zm6k23Z9dh1Z26UsM+NruO1L4Muow+h+w+pwYnfZz+fbpv9nE5fco81+nzyjrX6d+n61WXmswYTbefz0jZ2ztIaCMLQ78s0+kvrP7bpWauTtFBv7WpVrr7R7NmW6qePK/iLmzJqGh2BQXbyt+D7J967E92Wx4PLtSfAtW4Oy9DfcgaXzdwmWW892HOc/Ne3XRnZh/Y3lwnhwfHZdLrFVVF9qH4nVgKmM/Rj8KGRXZ+rmGfrtLdnJz5m+F1JuWWz2rP82l5O8D1uXmrdubvacbJ6bZam2pkeHRKRsfn3v+noKHLfmT9Tfc7ILnH5/RhbkOXHfbQx3R7rqt2XXB2L9wsVLiq3rmQ67lY9L9jZ/pQqK1TFzV5GAmKhiVA0J9D2k3Qr/hbf/+aXrNgjRzffvysj5UtK8OaA7SDQFpgRAX/IfUfuIMq9A+rNwNG1RsAY+rvu/48qr4fU78b1R+qXPbXqTJWWfW7zONmfjZ9vPV7++uMNnSdKinqdqz6Va88/8c2Y4kAAggggAACCCAQqsDRM04NtT0acydA0PcZ9Fu+2CJ11XXSXNec+qid/mx/X+Dz4qbF6vL7N0htlb4AmpcXgX/6p3+SSy65RJYsWeLlMMqWoIDep8DtmwL6zYFJ9UbBpHqzQa936DcJ9IdeY59S/6/fj9YfU9bPsr9O/Sy11j532eky03XkL6vay20jdQFAxs9nyhQumzpmzj6rFYNCv5/5uSqj2i983rqN6f7M6mf+Pmc66WmVXvzUx1vfpN4ATUnbr9TPatSjKd/3f38g9/3+H8yakaljC7z8vac6qx+pfjuvlMzqTZH9yG6ryEry0eSpyt15memD1VbRVXk/0PwcKdwHd455BsX7ac38M2Tq7/QcfSh8XkV03Km/01W6t/Tfh7xtearWfWH355X+s+gkNv37/H3w1J7Pv6WZf8tddtpbsYxTnPu83I+Hmw5kteW6atcFs7rgerxcVe9cyHV7Rc+NmT7kttW5/iQ3/JQJWYCg7wAe5D36IY91YppLwmZ8QQ8Gu+4HLUz9xQqwGV+xchwXhgD36IehTBvFCHCPfjFqHBOWAPfohyXtrR2CvoNXVLvuexvG8ipN0Hceb4K+sxElohEg6EfjTqvuBAj67pwoFb4AQT98c1p0L0DQd28VZkmCvgtt/Ui97Tv3WiXXrl6eftSefWgQj9dz0S2KIFBQgKDP5IirALvux3Vk6JcWIOgzD+IqQNCP68jQLy1A0I/nPCDoGxgXgr4BRKowKkDQN8pJZQYFCPoGManKuABB3zgpFRoSIOgbgqSaQAQI+oGw+q6UoO+bUISgbwCRKowKEPSNclKZQQGCvkFMqjIuQNA3TkqFhgQI+oYgqSYQAYJ+IKy+KyXo+yYk6Bsg9FQF9+g7cxH0nY0oEY0A9+hH406r7gQI+u6cKBW+AEE/fHNadC9A0HdvFWZJgr4BbVb0DSB6qIKg74xF0Hc2okQ0AgT9aNxp1Z0AQd+dE6XCFyDoh29Oi+4FCPrurcIsSdA3oE0SGMLaAAAMS0lEQVTQN4DooQqCvjMWQd/ZiBLRCBD0o3GnVXcCBH13TpQKX4CgH745LboXIOi7twqzJEE/TG3aQgABBBBAAAEEEEAAAQQQQCBgAYJ+wMBUjwACCCCAAAIIIIAAAggggECYAgT9MLVpCwEEEEAAAQQQQAABBBBAAIGABQj6AQNTPQIIIIAAAggggAACCCCAAAJhChD0i9S+5PLrZfvOvdbRa1cvl+/ftbnImjgMAXcCXufcXOWvu+l2eeDHT8xq+PlH7nLXGUohMIeA17mqq9pyx31y7w8elsfu34ItAkYFTM5H/nYaHRoqyxHwMlc/evXN8uQz29I18N+iTCeTAibnIn83TY6Mt7oI+t68rNL6j2t3T3863Ot/GNrbmuXOW64pojYOQcBZwOuccyqv/+i+8PIu3qBypqeERwGnuZdb3f0PPi7Xf/Eb1o/bWucT9D16U3xuAdPzkb+dzLigBLzO1Q0bN2X9vdTfn3/OevnC5z4eVBept0wETM9F/m5GN3EI+kXY6z+mn73qQ7LxovOto/V/qH75tu/wH6hFWHKIOwGvc86pPH903blTyruA09wrVCMr+t6tOcJZwPR85G+nszklihModq7arTE3i3PnqNkCpuciczO6WUbQ92i/ddsOufQTN8o9t94g69cdZx2d72ceq6U4AgUFvM45N+VzL6NiJZUJaELAzdwj6JuQpg43AkHMR/52upGnjFcBP3PVbktfXXrS8atY0feKT/ksgSDmIn83o5tkBH2P9ib+AfDYJMXLXMDrnPNaXvPq/0DQL/aaKPPJ5vP0i5l7dpOs6PvE5/BZAmHMR/52MvFMCPiZq7p9O0ixz46J0SjvOsKYi/zdDG+OEfQ9Wvv9B8BjcxRHIO8VI3NdRVLMHLXvk+Y/EphwfgSKmXsEfT/iHDuXQBjzkb+dzEETAn7n6m13P5B1pamJPlFHeQqEMRf5uxne3CLoF2Ht996VIprkkDIX8DrnvJbnj26ZTzCDp+917hH0DeJT1SyBoOcjfzuZdKYEipmrrOSb0qeeTIGg5yJ/N8ObbwT9Iqy97kZZRBMcgkCWgNOcy70Myql8vt1633DcMTw5gnnnW8Bp7hW6ZI9L933TU0EeAdPzkb+dTLOgBLzOVS5/DmokqNf0XOTvZnRziqBfpL2X50sW2QSHIZAlMNecy/cvfKfy23fuTdd/7pnrCPnMN2MCTnNPN2TvB5H5eD27Axe/+zw2lDI2GlRkcj5m1qVl+dvJ/DIp4Hau2pdX52t787VXpp8KZbJv1FVeAibnIn83o5s7BP3o7GkZAQQQQAABBBBAAAEEEEAAAeMCBH3jpFSIAAIIIIAAAggggAACCCCAQHQCBP3o7GkZAQQQQAABBBBAAAEEEEAAAeMCBH3jpFSIAAIIIIAAAggggAACCCCAQHQCBP3o7GkZAQQQQAABBBBAAAEEEEAAAeMCBH3jpFSIAAIIIIAAAggggAACCCCAQHQCBP3o7GkZAQQQQAABBBBAAAEEEEAAAeMCBH3jpFSIAAIIIIAAAggggAACCCCAQHQCBP3o7GkZAQQQQAABBBBAAAEEEEAAAeMCBH3jpFSIAAIIIIAAAggggAACCCCAQHQCBP3o7GkZAQQQQAABBBBAAAEEEEAAAeMCBH3jpFSIAAIIIIAAAggggAACCCCAQHQCBP3o7GkZAQQQQAABBBBAAAEEEEAAAeMCBH3jpFSIAAIIIIAAAggggAACCCCAQHQCBP3o7GkZAQQQQAABBBBAAAEEEEAAAeMCBH3jpFSIAAIIIIAAAggggAACCCCAQHQCBP3o7GkZAQQQQAABBBBAAAEEEEAAAeMCBH3jpFSIAAIIIIAAAggggAACCCCAQHQCBP3o7GkZAQQQQAABBBBAAAEEEEAAAeMCBH3jpFSIAAIIIFCKAlvuuE9uu/uBWV2/6rKLZdMV75cNGzdZv3vs/i2zyujftbU2y/fv2mz9zqmuk99++ZxEba3zrXY+evXN8uQz2/KW3XztlbLxovPlksuvl+0794r9vV34/gcfl+u/+A1Zu3p5ul+5Fbnpx/nnrJcHfvxE+tCL332efOFzH/fUrpvzKMU5Q58RQAABBBCIqwBBP64jQ78QQAABBEITsIPoPbf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"text/html": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"dynamics.plot_history(chemicals=['A', 'C'], colors=['darkturquoise', 'green'], range_x=[0, 0.25],\n",
" vertical_lines_to_add=[0.028, 0.1], title='A <-> C compound reaction')"
]
},
{
"cell_type": "markdown",
"id": "1ddc931c-2bf1-4e8e-9156-fdb7268648a1",
"metadata": {},
"source": [
"For t > 0.1, the product [C] appears to have a lot of response to nearly non-existing changes in [A] ! \n",
"\n",
"That doesn't seem like a good fit to an elementary reaction..."
]
},
{
"cell_type": "markdown",
"id": "be6a8d74-8ad7-4930-9c24-681ced6e1bb0",
"metadata": {},
"source": [
"#### This time, modeling the compound reaction `A <-> C` as an elementary reaction is not a good fit at any time"
]
},
{
"cell_type": "markdown",
"id": "310322af-ca59-4d41-b533-ec3336d6f3a8",
"metadata": {},
"source": [
"### EXPANDED conclusion : "
]
},
{
"cell_type": "markdown",
"id": "d94c2e0d-4b50-4616-b248-74c07809aa21",
"metadata": {},
"source": [
"### While it's a well-known Chemistry notion that the slower reaction is the rate-determining step in a chain, we saw in this experiment that the complex reaction CANNOT always be modeled, not even roughly, with the rate constants of the slower reaction. "
]
},
{
"cell_type": "markdown",
"id": "7e352310-17ae-48bb-854b-d98b8c3ca89e",
"metadata": {},
"source": [
"We observed this in a scenario where the slower reaction is the later one."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "58f279e3-c420-4a57-a753-fab458bec80c",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.9.13"
}
},
"nbformat": 4,
"nbformat_minor": 5
}