{ "cells": [ { "cell_type": "markdown", "id": "49bcb5b0-f19d-4b96-a5f1-e0ae30f66d8f", "metadata": {}, "source": [ "## Excessively large time steps - and remediation\n", "### Based on experiment `cycles_1`\n", "#### A cycle of reactions `A <-> B <-> C <-> A` and `C + E_High <-> A + E_Low`\n", "\n", "### [RUN 1](#large_time_steps_1_run1) - Initially, very large time steps are taken - at the edge of pushing some concentrations into negative values.\n", "The system automatic detects those problems, intercepts the problematic steps and re-runs them with 1/2 the time step. \n", "Negative concentrations are automatically avoided, but nonetheless the plots are ragged... and the solutions are eventually unstable.\n", "\n", "### [RUN 2](#large_time_steps_1_run2) - Same primary steps as for run #1, but with the option of using 1/2 substeps as needed, \n", "with thresholds that lead to those substeps being actually utilized a fair part of the time. \n", "The raggedness and instabilities are now eliminated.\n", "(Note: the 1/2 substeps are on a per-reaction basis)\n", "\n", "LAST REVISED: Dec. 3, 2023 **THIS IS AN ARCHIVED EXPERIMENT**" ] }, { "cell_type": "markdown", "id": "ee568e86-88ba-4942-ae40-e09dc9d7e8d6", "metadata": {}, "source": [ "# IMPORTANT: DO NOT ATTEMPT TO RUN THIS NOTEBOOK! \n", "## This is a **\"frozen run\"** that depends on an old version of Life123, for demonstration purposes \n", "#### (newer versions of Life123 tend to recover from instability more gracefully!!) \n", "If you bypass the execution exit in the first cell, and run the other cells, you WILL NOT REPLICATE the results below!" ] }, { "cell_type": "code", "execution_count": 1, "id": "d00543ae-6a16-4e67-bfce-284f0234706e", "metadata": {}, "outputs": [ { "ename": "StopExecution", "evalue": "", "output_type": "error", "traceback": [] } ], "source": [ "# To stop the current and subsequent cells: USED TO PREVENT ACCIDENTAL RUNS OF THIS NOTEBOOK!\n", "\n", "class StopExecution(Exception):\n", " def _render_traceback_(self):\n", " return []\n", "\n", "raise StopExecution # See: https://stackoverflow.com/a/56953105/5478830" ] }, { "cell_type": "code", "execution_count": null, "id": "292706b9-743f-4f2a-a3af-4427d68f82ed", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "d3ef9936-020b-4ab3-b762-8a6cffb963b6", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "53eebce8", "metadata": { "tags": [] }, "outputs": [], "source": [ "from experiments.get_notebook_info import get_notebook_basename\n", "\n", "from src.modules.chemicals.chem_data import ChemData as chem\n", "from src.modules.reactions.reaction_dynamics import ReactionDynamics\n", "\n", "from src.modules.visualization.graphic_log import GraphicLog" ] }, { "cell_type": "code", "execution_count": 3, "id": "cc53849f-351d-49e0-bfa8-22f8d8e22f8e", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-> Output will be LOGGED into the file 'large_time_steps_1.log.htm'\n" ] } ], "source": [ "# Initialize the HTML logging\n", "log_file = get_notebook_basename() + \".log.htm\" # Use the notebook base filename for the log file\n", "\n", "# Set up the use of some specified graphic (Vue) components\n", "GraphicLog.config(filename=log_file,\n", " components=[\"vue_cytoscape_1\"],\n", " extra_js=\"https://cdnjs.cloudflare.com/ajax/libs/cytoscape/3.21.2/cytoscape.umd.js\")" ] }, { "cell_type": "markdown", "id": "d6d3ca49-589d-49b7-8424-37c7b01bcacf", "metadata": {}, "source": [ "### Initialize the system" ] }, { "cell_type": "code", "execution_count": 4, "id": "23c15e66-52e4-495b-aa3d-ecddd8d16942", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 3 (at temp. 25 C)\n", "0: A <-> B (kF = 9 / kR = 3 / Delta_G = -2,723.41 / K = 3) | 1st order in all reactants & products\n", "1: B <-> C (kF = 8 / kR = 4 / Delta_G = -1,718.28 / K = 2) | 1st order in all reactants & products\n", "2: C + E_high <-> A + E_low (kF = 1 / kR = 0.2 / Delta_G = -3,989.73 / K = 5) | 1st order in all reactants & products\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `large_time_steps_1.log.htm`]\n" ] } ], "source": [ "# Initialize the system\n", "chem_data = chem(names=[\"A\", \"B\", \"C\", \"E_high\", \"E_low\"])\n", "\n", "# Reaction A <-> B, mostly in forward direction (favored energetically)\n", "# Note: all reactions in this experiment have 1st-order kinetics for all species\n", "chem_data.add_reaction(reactants=\"A\", products=\"B\",\n", " forward_rate=9., reverse_rate=3.)\n", "\n", "# Reaction B <-> C, also favored energetically\n", "chem_data.add_reaction(reactants=\"B\", products=\"C\",\n", " forward_rate=8., reverse_rate=4.)\n", "\n", "# Reaction C + E_High <-> A + E_Low, also favored energetically, but kinetically slow\n", "# Note that, thanks to the energy donation from E, we can go \"upstream\" from C, to the higher-energy level of \"A\"\n", "chem_data.add_reaction(reactants=[\"C\" , \"E_high\"], products=[\"A\", \"E_low\"],\n", " forward_rate=1., reverse_rate=0.2)\n", "\n", "chem_data.describe_reactions()\n", "\n", "# Send the plot of the reaction network to the HTML log file\n", "graph_data = chem_data.prepare_graph_network()\n", "GraphicLog.export_plot(graph_data, \"vue_cytoscape_1\")" ] }, { "cell_type": "markdown", "id": "d1d0eabb-b5b1-4e15-846d-5e483a5a24a7", "metadata": {}, "source": [ "### Set the initial concentrations of all the chemicals" ] }, { "cell_type": "code", "execution_count": 5, "id": "e4ff6a84-f5d5-4645-9c56-d9e981c108df", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'A': 100.0, 'B': 0.0, 'C': 0.0, 'E_high': 1000.0, 'E_low': 0.0}" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "initial_conc = {\"A\": 100., \"B\": 0., \"C\": 0., \"E_high\": 1000., \"E_low\": 0.} # Note the abundant energy source \"E_high\"\n", "initial_conc" ] }, { "cell_type": "markdown", "id": "0b46b395-3f68-4dbd-b0c5-d67a0e623726", "metadata": { "tags": [] }, "source": [ "### We'll split each simulation in three segments (apparent from the graphs of the runs, further down): \n", "Time [0-0.03] fast changes \n", "Time [0.03-5.] medium changes \n", "Time [5.-8.] slow changes, as we approach equilibrium " ] }, { "cell_type": "markdown", "id": "5d0e1750-2a2d-4922-96cc-abc076667ac5", "metadata": {}, "source": [ "## RUN 1 - Initially, very large time steps are taken - at the edge of pushing some concentrations into negative values.\n", "The system automatic detects those problems, intercepts the problematic steps and re-runs them with 1/2 the time step. \n", "Negative concentrations are automatically avoided, but nonetheless the plots are ragged... and the solutions are eventually unstable." ] }, { "cell_type": "code", "execution_count": 6, "id": "e80645d6-eb5b-4c78-8b46-ae126d2cb2cf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "5 species:\n", " Species 0 (A). Conc: 100.0\n", " Species 1 (B). Conc: 0.0\n", " Species 2 (C). Conc: 0.0\n", " Species 3 (E_high). Conc: 1000.0\n", " Species 4 (E_low). Conc: 0.0\n" ] } ], "source": [ "dynamics = ReactionDynamics(chem_data=chem_data)\n", "dynamics.set_conc(conc=initial_conc, snapshot=True)\n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 19, "id": "18acc0e2-b813-4a30-98a9-82aaed16cb19", "metadata": {}, "outputs": [], "source": [ "dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()" ] }, { "cell_type": "code", "execution_count": 20, "id": "b7f58e02-569b-45c6-90b7-1c317519bbd2", "metadata": {}, "outputs": [], "source": [ "#dynamics.verbose_list = [\"substeps\"] # Uncomment for debugging information" ] }, { "cell_type": "code", "execution_count": 9, "id": "50ddd8e3-58c6-41f8-b874-ddc9a1d64d30", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The computation took 36 extra step(s) - automatically added to prevent negative concentrations\n", "44 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(time_step=0.0012, stop_time=0.03)\n", "#dynamics.get_history()" ] }, { "cell_type": "code", "execution_count": 22, "id": "39db6bc4-f7a4-49ff-ad02-3dc0262bc163", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.0012, in 2 substeps of 0.0006 (each 1/2 of full step)\n", "From time 0.0012 to 0.0162, in 50 substeps of 0.0003 (each 1/4 of full step)\n", "From time 0.0162 to 0.024, in 13 substeps of 0.0006 (each 1/2 of full step)\n", "From time 0.024 to 0.0312, in 6 FULL steps of 0.0012\n" ] } ], "source": [ "dynamics.explain_time_advance()" ] }, { "cell_type": "markdown", "id": "229982f1-485f-4f84-8619-dd4c6ab343ef", "metadata": {}, "source": [ "### Notice how the system automatically intervened and reduced some steps in 1/2, to prevent negative concentrations" ] }, { "cell_type": "code", "execution_count": 11, "id": "fbf24a85-b152-4b24-b350-00bed12e7bb9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The computation took 130 extra step(s) - automatically added to prevent negative concentrations\n", "2053 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(time_step=0.0025, stop_time=5.)\n", "#dynamics.get_history()" ] }, { "cell_type": "code", "execution_count": 24, "id": "4c76da69-a77a-410d-bcd0-e255aa574a8f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.0012, in 2 substeps of 0.0006 (each 1/2 of full step)\n", "From time 0.0012 to 0.0162, in 50 substeps of 0.0003 (each 1/4 of full step)\n", "From time 0.0162 to 0.024, in 13 substeps of 0.0006 (each 1/2 of full step)\n", "From time 0.024 to 0.0312, in 6 FULL steps of 0.0012\n", "From time 0.0312 to 0.0337, in 2 substeps of 0.00125 (each 1/2 of full step)\n", "From time 0.0337 to 0.17, in 218 substeps of 0.000625 (each 1/4 of full step)\n", "From time 0.17 to 0.172, in 1 FULL step of 0.0025\n", "From time 0.172 to 2.28, in 1686 substeps of 0.00125 (each 1/2 of full step)\n", "From time 2.28 to 5, in 1089 FULL steps of 0.0025\n" ] } ], "source": [ "dynamics.explain_time_advance()" ] }, { "cell_type": "markdown", "id": "c3fd34b4-3d87-4ae6-b69e-f8ddc2020a7e", "metadata": {}, "source": [ "### Notice how the system automatically periodically intervened and reduced some steps in 1/2, to prevent negative concentrations.\n", "The time step that was originally requested hovers near the cusp of being so large as to lead to negative concentrations" ] }, { "cell_type": "code", "execution_count": 13, "id": "938b9678-900a-4d6b-8cac-68d62545b09e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The computation took 49 extra step(s) - automatically added to prevent negative concentrations\n", "400 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(time_step=0.008, stop_time=8.)" ] }, { "cell_type": "code", "execution_count": 26, "id": "5f2ad190-f858-4227-a370-04e8b5d854be", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEABCE_highE_lowcaption
00.00000100.0000000.0000000.0000001000.0000000.000000Initial state
10.0006099.4600000.5400000.0000001000.0000000.000000Interm. step, due to the fast rxns: [0, 1, 2]
20.0012098.9238881.0735200.0025921000.0000000.000000
30.0015098.6585371.3370750.004388999.9992220.000778Interm. step, due to the fast rxns: [0]
40.0018098.3941401.5996760.006183999.9984450.001555
........................
36237.9704510.01839130.00687559.97473532.330220967.669780
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" ], "text/plain": [ " SYSTEM TIME A B C E_high E_low \\\n", "0 0.00000 100.000000 0.000000 0.000000 1000.000000 0.000000 \n", "1 0.00060 99.460000 0.540000 0.000000 1000.000000 0.000000 \n", "2 0.00120 98.923888 1.073520 0.002592 1000.000000 0.000000 \n", "3 0.00150 98.658537 1.337075 0.004388 999.999222 0.000778 \n", "4 0.00180 98.394140 1.599676 0.006183 999.998445 0.001555 \n", "... ... ... ... ... ... ... \n", "3623 7.97045 10.018391 30.006875 59.974735 32.330220 967.669780 \n", "3624 7.97845 10.018012 30.006785 59.975202 32.329439 967.670561 \n", "3625 7.98645 10.017978 30.006691 59.975330 32.328339 967.671661 \n", "3626 7.99445 10.017485 30.006608 59.975908 32.327699 967.672301 \n", "3627 8.00245 10.017621 30.006514 59.975865 32.326462 967.673538 \n", "\n", " caption \n", "0 Initial state \n", "1 Interm. step, due to the fast rxns: [0, 1, 2] \n", "2 \n", "3 Interm. step, due to the fast rxns: [0] \n", "4 \n", "... ... \n", "3623 \n", "3624 \n", "3625 \n", "3626 \n", "3627 \n", "\n", "[3628 rows x 7 columns]" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = dynamics.get_history()\n", "df" ] }, { "cell_type": "markdown", "id": "9b067211-71f9-4441-99fd-a6bee211173c", "metadata": {}, "source": [ "### Notice that with our aggressively-large time steps, we ended up with _far fewer_ data points than in any of the runs in the experiment `cycles_1`, which this analysis is based on" ] }, { "cell_type": "code", "execution_count": 27, "id": "7efd0aaf-68e7-4568-930f-5ef4422402f5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.0012, in 2 substeps of 0.0006 (each 1/2 of full step)\n", "From time 0.0012 to 0.0162, in 50 substeps of 0.0003 (each 1/4 of full step)\n", "From time 0.0162 to 0.024, in 13 substeps of 0.0006 (each 1/2 of full step)\n", "From time 0.024 to 0.0312, in 6 FULL steps of 0.0012\n", "From time 0.0312 to 0.0337, in 2 substeps of 0.00125 (each 1/2 of full step)\n", "From time 0.0337 to 0.17, in 218 substeps of 0.000625 (each 1/4 of full step)\n", "From time 0.17 to 0.172, in 1 FULL step of 0.0025\n", "From time 0.172 to 2.28, in 1686 substeps of 0.00125 (each 1/2 of full step)\n", "From time 2.28 to 5, in 1089 FULL steps of 0.0025\n", "From time 5 to 6.42, in 354 substeps of 0.004 (each 1/2 of full step)\n", "From time 6.42 to 6.5, in 10 FULL steps of 0.008\n", "From time 6.5 to 6.51, in 2 substeps of 0.004 (each 1/2 of full step)\n", "From time 6.51 to 6.64, in 17 FULL steps of 0.008\n", "From time 6.64 to 6.65, in 2 substeps of 0.004 (each 1/2 of full step)\n", "From time 6.65 to 6.8, in 19 FULL steps of 0.008\n", "From time 6.8 to 6.81, in 2 substeps of 0.004 (each 1/2 of full step)\n", "From time 6.81 to 6.98, in 21 FULL steps of 0.008\n", "From time 6.98 to 6.99, in 2 substeps of 0.004 (each 1/2 of full step)\n", "From time 6.99 to 7.17, in 23 FULL steps of 0.008\n", "From time 7.17 to 7.18, in 2 substeps of 0.004 (each 1/2 of full step)\n", "From time 7.18 to 7.38, in 25 FULL steps of 0.008\n", "From time 7.38 to 7.39, in 2 substeps of 0.004 (each 1/2 of full step)\n", "From time 7.39 to 7.6, in 27 FULL steps of 0.008\n", "From time 7.6 to 7.61, in 2 substeps of 0.004 (each 1/2 of full step)\n", "From time 7.61 to 7.84, in 29 FULL steps of 0.008\n", "From time 7.84 to 7.85, in 2 substeps of 0.004 (each 1/2 of full step)\n", "From time 7.85 to 8, in 19 FULL steps of 0.008\n" ] } ], "source": [ "dynamics.explain_time_advance()" ] }, { "cell_type": "markdown", "id": "ef8dd8f2-faeb-4549-8be3-5b6abf2f4b13", "metadata": {}, "source": [ "### Yet again, the system automatically keeps periodically throttling down the time steps, to prevent negative concentrations.\n", "At times, especially near the end, the throttling gets very frequent (\"frantic\"!)" ] }, { "cell_type": "markdown", "id": "cbf6c9c7-8cec-400f-9e70-49ff1a9f485c", "metadata": { "tags": [] }, "source": [ "## Plots of changes of concentration with time" ] }, { "cell_type": "code", "execution_count": 16, "id": "952b0e87-1e35-415b-8cd2-73ddb4953d9f", "metadata": {}, "outputs": [ { "data": { "text/html": [ " \n", " " ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=E_high
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_history(chemicals=[\"A\", \"B\", \"C\"])" ] }, { "cell_type": "markdown", "id": "49c01b59-7856-4874-882a-71214aa79e8e", "metadata": {}, "source": [ "# The negative concentrations were automatically avoided, but nonetheless the plots are ragged... and the solutions display instabilities" ] }, { "cell_type": "code", "execution_count": null, "id": "5f5cbb30-7ee8-45f2-830a-b8d160878d07", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "f5a76b7a-9ed1-41ff-9983-07c75d855f33", "metadata": {}, "source": [ "## RUN 2 - Same primary steps as for run #1, but with the option of using 1/2 substeps as needed, \n", "with thresholds that lead to those substeps being actually utilized a fair part of the time. \n", "The raggedness and instabilities are now eliminated.\n", "(Note: the 1/2 substeps are on a per-reaction basis)" ] }, { "cell_type": "code", "execution_count": 18, "id": "1497d82e-3444-43df-9f1e-d1fdde2df97f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "5 species:\n", " Species 0 (A). Conc: 100.0\n", " Species 1 (B). Conc: 0.0\n", " Species 2 (C). Conc: 0.0\n", " Species 3 (E_high). Conc: 1000.0\n", " Species 4 (E_low). Conc: 0.0\n" ] } ], "source": [ "dynamics = ReactionDynamics(chem_data=chem_data) # Note: OVER-WRITING the \"dynamics\" object\n", "dynamics.set_conc(conc=initial_conc, snapshot=True) \n", "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 7, "id": "b31872ae-5571-4602-a552-10767b20c7af", "metadata": {}, "outputs": [], "source": [ "dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()" ] }, { "cell_type": "code", "execution_count": 8, "id": "ed639e10-85a7-4068-868a-8f1fc530d8ce", "metadata": {}, "outputs": [], "source": [ "#dynamics.verbose_list = [\"substeps\"] # Uncomment for debugging information" ] }, { "cell_type": "code", "execution_count": 21, "id": "e5392cd8-caf6-4196-aa98-de6ddc95fda2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "single_compartment_react(): setting rel_fast_threshold to 89.99999999999999\n", "The computation took 38 extra step(s) - automatically added to prevent negative concentrations\n", "(an extra dynamic substeps that might have been taken, are NOT part of the above count)\n", "45 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(time_step=0.0012, stop_time=0.03,\n", " dynamic_substeps=2, abs_fast_threshold=750.)\n", "#dynamics.get_history()" ] }, { "cell_type": "code", "execution_count": 10, "id": "b1e8bef4-fd94-485d-b141-40b2af02a97a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.0024, in 2 FULL steps of 0.0012\n", "From time 0.0024 to 0.024, in 36 substeps of 0.0006 (each 1/2 of full step)\n", "From time 0.024 to 0.0312, in 6 FULL steps of 0.0012\n" ] } ], "source": [ "dynamics.explain_time_advance()" ] }, { "cell_type": "markdown", "id": "52892460-875a-4f07-9ee7-e25ca4c8e7b5", "metadata": {}, "source": [ "### Compared to the earlier run, the system is now at times reaching for smaller 1/4 steps \n", "(1/2 factors arise from either the negative concentrations or the optional substeps triggered by large changes; sometime both occur)" ] }, { "cell_type": "code", "execution_count": 23, "id": "3107ebc0-3d10-4f7c-914f-441f1435a769", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "single_compartment_react(): setting rel_fast_threshold to 62.5\n", "The computation took 109 extra step(s) - automatically added to prevent negative concentrations\n", "(an extra dynamic substeps that might have been taken, are NOT part of the above count)\n", "2043 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(time_step=0.0025, stop_time=5.,\n", " dynamic_substeps=2, abs_fast_threshold=250.)\n", "#dynamics.get_history()" ] }, { "cell_type": "code", "execution_count": 12, "id": "ea96d051-2672-48a0-a9e3-d356cb979d6f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.0024, in 2 FULL steps of 0.0012\n", "From time 0.0024 to 0.024, in 36 substeps of 0.0006 (each 1/2 of full step)\n", "From time 0.024 to 0.0312, in 6 FULL steps of 0.0012\n", "From time 0.0312 to 0.17, in 111 substeps of 0.00125 (each 1/2 of full step)\n", "From time 0.17 to 0.257, in 35 FULL steps of 0.0025\n", "From time 0.257 to 0.259, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.259 to 0.276, in 7 FULL steps of 0.0025\n", "From time 0.276 to 0.277, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.277 to 0.29, in 5 FULL steps of 0.0025\n", "From time 0.29 to 0.291, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.291 to 0.304, in 5 FULL steps of 0.0025\n", "From time 0.304 to 0.305, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.305 to 0.322, in 7 FULL steps of 0.0025\n", "From time 0.322 to 0.324, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.324 to 0.341, in 7 FULL steps of 0.0025\n", "From time 0.341 to 0.342, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.342 to 0.355, in 5 FULL steps of 0.0025\n", "From time 0.355 to 0.356, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.356 to 0.374, in 7 FULL steps of 0.0025\n", "From time 0.374 to 0.375, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.375 to 0.392, in 7 FULL steps of 0.0025\n", "From time 0.392 to 0.394, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.394 to 0.416, in 9 FULL steps of 0.0025\n", "From time 0.416 to 0.417, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.417 to 0.435, in 7 FULL steps of 0.0025\n", "From time 0.435 to 0.436, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.436 to 0.459, in 9 FULL steps of 0.0025\n", "From time 0.459 to 0.46, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.46 to 0.482, in 9 FULL steps of 0.0025\n", "From time 0.482 to 0.484, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.484 to 0.511, in 11 FULL steps of 0.0025\n", "From time 0.511 to 0.512, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.512 to 0.545, in 13 FULL steps of 0.0025\n", "From time 0.545 to 0.546, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.546 to 0.579, in 13 FULL steps of 0.0025\n", "From time 0.579 to 0.58, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.58 to 0.622, in 17 FULL steps of 0.0025\n", "From time 0.622 to 0.624, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.624 to 0.676, in 21 FULL steps of 0.0025\n", "From time 0.676 to 0.677, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.677 to 0.78, in 41 FULL steps of 0.0025\n", "From time 0.78 to 0.781, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.781 to 5, in 1688 FULL steps of 0.0025\n" ] } ], "source": [ "dynamics.explain_time_advance()" ] }, { "cell_type": "markdown", "id": "de56b4a6-0d0c-4e04-b2c5-88d128cf423e", "metadata": {}, "source": [ "### Again, we see many of those smaller 1/4 steps" ] }, { "cell_type": "code", "execution_count": 25, "id": "c43fdb41-a686-437e-b546-532f9fe88afd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "single_compartment_react(): setting rel_fast_threshold to 1.6\n", "375 total step(s) taken\n" ] } ], "source": [ "dynamics.single_compartment_react(time_step=0.008, stop_time=8.,\n", " dynamic_substeps=2, abs_fast_threshold=2.)" ] }, { "cell_type": "code", "execution_count": 14, "id": "4933f334-e4f5-45e7-be91-3b11e667f244", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEABCE_highE_lowcaption
00.0000100.0000000.0000000.0000001000.0000000.000000Initial state
10.001298.9200001.0800000.0000001000.0000000.000000
20.002497.8555522.1340800.0103681000.0000000.000000
30.003097.3371942.6484400.014366999.9937790.006221
40.003696.8248873.1566160.018497999.9852320.014768
........................
24937.97328.66360030.03401661.30238533.266197966.733803
24947.981211.67438329.97647858.34914030.352451969.647549
24957.98927.60951930.04627662.34420534.296194965.703806
24967.997213.13043029.94510356.92446728.948509971.051491
24978.00525.68623130.07690864.23686036.165999963.834001
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2498 rows × 7 columns

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" ], "text/plain": [ " SYSTEM TIME A B C E_high E_low \\\n", "0 0.0000 100.000000 0.000000 0.000000 1000.000000 0.000000 \n", "1 0.0012 98.920000 1.080000 0.000000 1000.000000 0.000000 \n", "2 0.0024 97.855552 2.134080 0.010368 1000.000000 0.000000 \n", "3 0.0030 97.337194 2.648440 0.014366 999.993779 0.006221 \n", "4 0.0036 96.824887 3.156616 0.018497 999.985232 0.014768 \n", "... ... ... ... ... ... ... \n", "2493 7.9732 8.663600 30.034016 61.302385 33.266197 966.733803 \n", "2494 7.9812 11.674383 29.976478 58.349140 30.352451 969.647549 \n", "2495 7.9892 7.609519 30.046276 62.344205 34.296194 965.703806 \n", "2496 7.9972 13.130430 29.945103 56.924467 28.948509 971.051491 \n", "2497 8.0052 5.686231 30.076908 64.236860 36.165999 963.834001 \n", "\n", " caption \n", "0 Initial state \n", "1 \n", "2 \n", "3 \n", "4 \n", "... ... \n", "2493 \n", "2494 \n", "2495 \n", "2496 \n", "2497 \n", "\n", "[2498 rows x 7 columns]" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = dynamics.get_history()\n", "df" ] }, { "cell_type": "code", "execution_count": 15, "id": "c8fa980d-361a-45ea-8102-f1c83cc1511f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.0024, in 2 FULL steps of 0.0012\n", "From time 0.0024 to 0.024, in 36 substeps of 0.0006 (each 1/2 of full step)\n", "From time 0.024 to 0.0312, in 6 FULL steps of 0.0012\n", "From time 0.0312 to 0.17, in 111 substeps of 0.00125 (each 1/2 of full step)\n", "From time 0.17 to 0.257, in 35 FULL steps of 0.0025\n", "From time 0.257 to 0.259, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.259 to 0.276, in 7 FULL steps of 0.0025\n", "From time 0.276 to 0.277, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.277 to 0.29, in 5 FULL steps of 0.0025\n", "From time 0.29 to 0.291, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.291 to 0.304, in 5 FULL steps of 0.0025\n", "From time 0.304 to 0.305, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.305 to 0.322, in 7 FULL steps of 0.0025\n", "From time 0.322 to 0.324, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.324 to 0.341, in 7 FULL steps of 0.0025\n", "From time 0.341 to 0.342, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.342 to 0.355, in 5 FULL steps of 0.0025\n", "From time 0.355 to 0.356, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.356 to 0.374, in 7 FULL steps of 0.0025\n", "From time 0.374 to 0.375, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.375 to 0.392, in 7 FULL steps of 0.0025\n", "From time 0.392 to 0.394, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.394 to 0.416, in 9 FULL steps of 0.0025\n", "From time 0.416 to 0.417, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.417 to 0.435, in 7 FULL steps of 0.0025\n", "From time 0.435 to 0.436, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.436 to 0.459, in 9 FULL steps of 0.0025\n", "From time 0.459 to 0.46, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.46 to 0.482, in 9 FULL steps of 0.0025\n", "From time 0.482 to 0.484, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.484 to 0.511, in 11 FULL steps of 0.0025\n", "From time 0.511 to 0.512, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.512 to 0.545, in 13 FULL steps of 0.0025\n", "From time 0.545 to 0.546, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.546 to 0.579, in 13 FULL steps of 0.0025\n", "From time 0.579 to 0.58, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.58 to 0.622, in 17 FULL steps of 0.0025\n", "From time 0.622 to 0.624, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.624 to 0.676, in 21 FULL steps of 0.0025\n", "From time 0.676 to 0.677, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.677 to 0.78, in 41 FULL steps of 0.0025\n", "From time 0.78 to 0.781, in 1 substep of 0.00125 (1/2 of full step)\n", "From time 0.781 to 5, in 1688 FULL steps of 0.0025\n", "From time 5 to 5.38, in 47 FULL steps of 0.008\n", "From time 5.38 to 5.38, in 1 substep of 0.004 (1/2 of full step)\n", "From time 5.38 to 5.44, in 7 FULL steps of 0.008\n", "From time 5.44 to 5.44, in 1 substep of 0.004 (1/2 of full step)\n", "From time 5.44 to 5.48, in 5 FULL steps of 0.008\n", "From time 5.48 to 5.49, in 1 substep of 0.004 (1/2 of full step)\n", "From time 5.49 to 5.54, in 7 FULL steps of 0.008\n", "From time 5.54 to 5.55, in 1 substep of 0.004 (1/2 of full step)\n", "From time 5.55 to 5.59, in 5 FULL steps of 0.008\n", "From time 5.59 to 5.59, in 1 substep of 0.004 (1/2 of full step)\n", "From time 5.59 to 5.65, in 7 FULL steps of 0.008\n", "From time 5.65 to 5.65, in 1 substep of 0.004 (1/2 of full step)\n", "From time 5.65 to 5.69, in 5 FULL steps of 0.008\n", "From time 5.69 to 5.69, in 1 substep of 0.004 (1/2 of full step)\n", "From time 5.69 to 5.75, in 7 FULL steps of 0.008\n", "From time 5.75 to 5.75, in 1 substep of 0.004 (1/2 of full step)\n", "From time 5.75 to 5.79, in 5 FULL steps of 0.008\n", "From time 5.79 to 5.8, in 1 substep of 0.004 (1/2 of full step)\n", "From time 5.8 to 5.85, in 7 FULL steps of 0.008\n", "From time 5.85 to 5.86, in 1 substep of 0.004 (1/2 of full step)\n", "From time 5.86 to 5.9, in 5 FULL steps of 0.008\n", "From time 5.9 to 5.9, in 1 substep of 0.004 (1/2 of full step)\n", "From time 5.9 to 5.96, in 7 FULL steps of 0.008\n", "From time 5.96 to 5.96, in 1 substep of 0.004 (1/2 of full step)\n", "From time 5.96 to 6.02, in 7 FULL steps of 0.008\n", "From time 6.02 to 6.02, in 1 substep of 0.004 (1/2 of full step)\n", "From time 6.02 to 6.06, in 5 FULL steps of 0.008\n", "From time 6.06 to 6.07, in 1 substep of 0.004 (1/2 of full step)\n", "From time 6.07 to 6.12, in 7 FULL steps of 0.008\n", "From time 6.12 to 6.13, in 1 substep of 0.004 (1/2 of full step)\n", "From time 6.13 to 6.17, in 5 FULL steps of 0.008\n", "From time 6.17 to 6.17, in 1 substep of 0.004 (1/2 of full step)\n", "From time 6.17 to 6.23, in 7 FULL steps of 0.008\n", "From time 6.23 to 6.23, in 1 substep of 0.004 (1/2 of full step)\n", "From time 6.23 to 6.29, in 7 FULL steps of 0.008\n", "From time 6.29 to 6.29, in 1 substep of 0.004 (1/2 of full step)\n", "From time 6.29 to 6.33, in 5 FULL steps of 0.008\n", "From time 6.33 to 6.33, in 1 substep of 0.004 (1/2 of full step)\n", "From time 6.33 to 6.39, in 7 FULL steps of 0.008\n", "From time 6.39 to 6.39, in 1 substep of 0.004 (1/2 of full step)\n", "From time 6.39 to 6.45, in 7 FULL steps of 0.008\n", "From time 6.45 to 6.45, in 1 substep of 0.004 (1/2 of full step)\n", "From time 6.45 to 6.49, in 5 FULL steps of 0.008\n", "From time 6.49 to 6.5, in 1 substep of 0.004 (1/2 of full step)\n", "From time 6.5 to 6.55, in 7 FULL steps of 0.008\n", "From time 6.55 to 6.56, in 1 substep of 0.004 (1/2 of full step)\n", "From time 6.56 to 6.61, in 7 FULL steps of 0.008\n", "From time 6.61 to 6.62, in 1 substep of 0.004 (1/2 of full step)\n", "From time 6.62 to 6.66, in 5 FULL steps of 0.008\n", "From time 6.66 to 6.66, in 1 substep of 0.004 (1/2 of full step)\n", "From time 6.66 to 6.72, in 7 FULL steps of 0.008\n", "From time 6.72 to 6.72, in 1 substep of 0.004 (1/2 of full step)\n", "From time 6.72 to 6.78, in 7 FULL steps of 0.008\n", "From time 6.78 to 6.78, in 1 substep of 0.004 (1/2 of full step)\n", "From time 6.78 to 6.82, in 5 FULL steps of 0.008\n", "From time 6.82 to 6.83, in 1 substep of 0.004 (1/2 of full step)\n", "From time 6.83 to 6.88, in 7 FULL steps of 0.008\n", "From time 6.88 to 6.89, in 1 substep of 0.004 (1/2 of full step)\n", "From time 6.89 to 6.94, in 7 FULL steps of 0.008\n", "From time 6.94 to 6.95, in 1 substep of 0.004 (1/2 of full step)\n", "From time 6.95 to 6.99, in 5 FULL steps of 0.008\n", "From time 6.99 to 6.99, in 1 substep of 0.004 (1/2 of full step)\n", "From time 6.99 to 7.05, in 7 FULL steps of 0.008\n", "From time 7.05 to 7.05, in 1 substep of 0.004 (1/2 of full step)\n", "From time 7.05 to 7.11, in 7 FULL steps of 0.008\n", "From time 7.11 to 7.11, in 1 substep of 0.004 (1/2 of full step)\n", "From time 7.11 to 7.15, in 5 FULL steps of 0.008\n", "From time 7.15 to 7.15, in 1 substep of 0.004 (1/2 of full step)\n", "From time 7.15 to 7.21, in 7 FULL steps of 0.008\n", "From time 7.21 to 7.21, in 1 substep of 0.004 (1/2 of full step)\n", "From time 7.21 to 7.27, in 7 FULL steps of 0.008\n", "From time 7.27 to 7.27, in 1 substep of 0.004 (1/2 of full step)\n", "From time 7.27 to 7.31, in 5 FULL steps of 0.008\n", "From time 7.31 to 7.32, in 1 substep of 0.004 (1/2 of full step)\n", "From time 7.32 to 7.37, in 7 FULL steps of 0.008\n", "From time 7.37 to 7.38, in 1 substep of 0.004 (1/2 of full step)\n", "From time 7.38 to 7.43, in 7 FULL steps of 0.008\n", "From time 7.43 to 7.44, in 1 substep of 0.004 (1/2 of full step)\n", "From time 7.44 to 7.48, in 5 FULL steps of 0.008\n", "From time 7.48 to 7.48, in 1 substep of 0.004 (1/2 of full step)\n", "From time 7.48 to 7.54, in 7 FULL steps of 0.008\n", "From time 7.54 to 7.54, in 1 substep of 0.004 (1/2 of full step)\n", "From time 7.54 to 7.6, in 7 FULL steps of 0.008\n", "From time 7.6 to 7.6, in 1 substep of 0.004 (1/2 of full step)\n", "From time 7.6 to 7.64, in 5 FULL steps of 0.008\n", "From time 7.64 to 7.65, in 1 substep of 0.004 (1/2 of full step)\n", "From time 7.65 to 7.7, in 7 FULL steps of 0.008\n", "From time 7.7 to 7.71, in 1 substep of 0.004 (1/2 of full step)\n", "From time 7.71 to 7.76, in 7 FULL steps of 0.008\n", "From time 7.76 to 7.77, in 1 substep of 0.004 (1/2 of full step)\n", "From time 7.77 to 7.81, in 5 FULL steps of 0.008\n", "From time 7.81 to 7.81, in 1 substep of 0.004 (1/2 of full step)\n", "From time 7.81 to 7.87, in 7 FULL steps of 0.008\n", "From time 7.87 to 7.87, in 1 substep of 0.004 (1/2 of full step)\n", "From time 7.87 to 7.93, in 7 FULL steps of 0.008\n", "From time 7.93 to 7.93, in 1 substep of 0.004 (1/2 of full step)\n", "From time 7.93 to 7.97, in 5 FULL steps of 0.008\n", "From time 7.97 to 7.97, in 1 substep of 0.004 (1/2 of full step)\n", "From time 7.97 to 8.01, in 4 FULL steps of 0.008\n" ] } ], "source": [ "dynamics.explain_time_advance()" ] }, { "cell_type": "markdown", "id": "52383683-60ab-4a3b-ae62-f858abb0d58a", "metadata": {}, "source": [ "### In the later times (the 5.-8. range) there isn't that \"frantic throttling up and down\" that we had before" ] }, { "cell_type": "markdown", "id": "f02b5c83-7bf6-4d65-a507-cfa5e6001225", "metadata": { "tags": [] }, "source": [ "## Plots of changes of concentration with time" ] }, { "cell_type": "code", "execution_count": 28, "id": "c6f547eb-6e68-4161-b34c-9032ef61ebe2", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=E_high
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ABCAAAQg0mwDS1uz+p/UQgAAEIAABCEAAAhCAQOAEkLbAO4jqQQACEIAABCAAAQhAAALNJoC0Nbv/aT0EIAABCEAAAhCAAAQgEDgBpC3wDqJ6EIAABCAAAQhAAAIQgECzCSBtze5/Wg8BCEAAAhCAAAQgAAEIBE4AaQu8g6geBCAAAQhAAAIQgAAEINBsAkhbs/uf1kMAAhCAAAQgAAEIQAACgRNA2gLvIKoHAQhAAAIQgAAEIAABCDSbANLW7P6n9RCAAAQgAAEIQAACEIBA4ASQtsA7iOpBAAIQgAAEIAABCEAAAs0mgLQ1u/9pPQQgAAEIQAACEIAABCAQOAGkLfAOonoQgAAEIAABCEAAAhCAQLMJIG0K/f/82jcUohBCCIwfPcy89sY2s2XbmwBRIrD/+L0MY1QJZivM8KGDzYhhg826jVv1gjY80piRQ8z2HTvNps3bG05Cr/n7vW24efnVLWbHmzv1gjY40uA9Bpl9xgwzL76yucEUdJsu30eHDhls1r/G91JNsvIzn6s3CSBtCv3KA7ECxN0hkDY9ljYS0qbLFGnT5SnRkDZ9pkibLlOkTZenREPa9JlKRKStGq4hREXaFHoBaVOAiLTpQUxEQtp00SJtujyRNn2eEhFp0+WKtOnyRNr0ecZ/UVtddCJ3kwDSpkAfaVOAiLTpQUTaKmMpgZE2fbxk2vSZIm26TJE2XZ5Imz5PpK06pqFE7hlpW75qtZl97uVm8Q2XmalTJvXj+6nT55mn1zwXfe2giQeY7yyar/o60qY3nJkeqccy/g2cMarHFWnTY2kjIW36TJE2XaZImy5PpE2fJ9JWHdNQIveEtM2cNdesW78xYpqUtjPOv8asXbehT9RE4MaPG21uve6iqHzZ1yUGD8R6wxlp02OJtOmzlIhImz5XpE2fKdKmyxRp0+WJtOnzRNqqYxpK5J6QNoGZlWkTofvinM+YWSfMiJgv+e5S87WFt5v7lyyI/l/2daRNdygjbbo8JRpr2nSZIm26PCUa0qbPFGnTZYq06fJE2vR5Im3VMQ0lck9LW5rIxb8mnZCcUunzup2GSaZNbzgjbXos49/AGaN6XJE2PZY2EtKmzxRp02WKtOnyRNr0eXZD2pKz16prlX7kdsuq9N9NJyLSllgH5y1tgwaZNydMMDtmHt/68yGz/eRTzM4xY3V6p4FR9hq2p9m6fYfZ0TqziUuHwKgRQ8zG17fpBCOK2XPwHmbInoPMG1t2QEOJwLDW2Xdvts4T27ad8xmVkJqRe+1pXt+8w+zcyfdSDaaDWj/rRwwfbDa9wVmCGjwlxpA99zAiw5u38r1Ui6nEkZ/5WpcsIXpo2ap+4caNHdU3W60b0iYz5uZdfbOZf/FZfbPoirQXaStCTemevKyazYr5SJlUrV0mLorZ+kYev0TYtp4312z7/FzkrUDfIm0FoOXcgrTpMkXadHlKNKRNnynSpssUadPlibTp87QRtaTtkA+fbuKCZuOLyO23z9vMVZeebbohbVrkkDYtkgXi+KxpE0Nfed+i6F3S1rT5vC4xXvzVE2b4PXeb4ff+mxn2wM+iuG+OGWM2nXNe9Ef+zeVGgOmRbpx8SrGmzYdWflmmR+Yz8i3B9EhfYvnlmR6Zz8inBNMjfWi5leVwbTdOvqU0DtcWMXtq9W/7MmpZdbDSJq/bjFyW6MUzdvFNA+U5fMZRU83Sh5f3bSo457RTzLsP2DfKqNnL3pP2vJ/MCMr9c888NdpsMJkptM//SJvvyFIsnwW/7O6QefdLE+LrhUTa9r72yn7ytuGKa83rnz1NsbW9Gwpp0+9bpE2XKdKmy1OiIW36TJE2XaZImy5PiYa06TOViBrSJlm2Uz5xbJRNa3fZI7WsJElZkbCDJ70rc5f2BbfcaRbedle/5InsAG+lzL6enIYpseXIruTzflIw5fWv/8O3oveX177wP/+47ygwqW9WnGp6QzdqT6xpi2/5L3iSlt+Nc9qS8rbluA+ZDfOvNdsOPUy3B3ssGtKm36FImy5TpE2XJ9Kmz1MiIm26XJE2XZ5Imz5PG7GstFkpclkzljY98pIrbzL/+eQzqYJl6yjP7Z8++SNRNsxm2qwgpiVhJKZk4mTn97RlTi51lfcWIbzj7p8MiJM837m63ikXuSekrRyC8ne325lvxDdvM6O/dKHZ49VXozfaeOE8pky2QY60lR+PyQhImy5TpE2XJ9KmzzNEadu4YdfPwLzrtY1u5eJxXGNnvfeWLVvMtq1b2lat7Jq2ra348j51vMryzWpza0+n1rYAg8x2Nh5THRZnn/W5UvE0pc1uGpJWIZudy5K2uIhlydavn3k+mkJppzymvU8ysSNlpDzTI0sNk/renLedugjbqK/ONyMXXh81cseBE8z6BTcayb5x9SeAtOmPCKRNlynSpssTaXPjubX1wL9ly+a+wiIBW2P/lxfiD9ejRw4xr72+3WxIkaWNGzekvmnWw7m8j7xf1lXVQ70bGUpBAAJxAl/+8pdLA/GZHjl+3Oi+qZDyxvFMm5W2PKmSNW3JTJuGtEk7jp42pa9+8amZSFvpYVLPAHnSZlslUyZHz7vQDFnxePSlTXPOMxsvmMdGJbFuR9r0PwNImy5TpE2XZy9Im5WWuEhJVsVKVTyTE8+4yOvx7Es8yySCJqLWK9eo0W4bcu09yq1cnItr7CyWw4YNM0OHDmuLumymbUgrvrxPHa+yfDO5Dxkcbfv/2hscSaM5LqYf9r7S4fI2IhExy9o9Mm16ZLvpi2UybdJQ2eU9LX6aMCJtpYdG/QO4Sptt6ahr5xv5IxdZt/79j7Tpfx6QNl2mSJsuz25Km81eWdmyomUlywpWXK5s1qnTUjW09cA/bNjwPvgiGUNj/5cX4g/Xe7XOvtu8bYfZe+/RAzosSyDaPZy3k6mqHur1R1rxiKxpK84u6042ItFnKhHLrmmztUrb8t+KkN2kJG9Nm8SyOzjGs20idkdP+0B0zloZaZO1aFKHdes39O10aTcikQ1IkkInbZKL6ZHVjL1aRPWVNmnU4GefMWPnntO3yyRZt11djbTpD3mkTZcp0qbLU0vaJNsVly/5v6xTsuJls2GSzdIWListcZGKsje7pSqeyYkLk7wez77ExUgETUSt6MVGJEXJpd+HtOnylGhImz5TTWmLC1e8pvGslou0ZcWJH71VdHqk3UAkvuGgvJ+to8jhXd9/sK/6so7O7lzJ9Mhqxl/wUYtIm22UrHOT9W6y7o2sG9JWxWBH2nSpIm26PNtJm4jWLsnaEq3XEgmT9Vg281VWwGz2ysqWFa24ZO09alemqk/MRKaiqW7lpEqfYv+ISJsuYaRNlyfSps/TRtTKtFVXQyIXJcDukUXJxe4rI20ShqzbWzDJtCkMyEQIpE2XKdJWnqdMS9zYkjGRr5d/95LZw2w369evN6+8sj762q7X/NZziVTF5cv+32a2rHRJNit04SpPmC3/NRjGYyBt2kTJtOkT3RURaauKbPfjIm0KfVBW2mwV4lm3N8eMae0weZPZfNLJCjWsTwikTb+vkDZdpkhbPk+bIdv194YoOxZNX2wJ2dqXX8oPsLuEiNYuydo11XBUK+slEiZff+trLVkrMY3QuTI1K0imTbfDkDZdnhKN6ZH6TJG2apiGEhVpU+gJLWmTqiSzbiJtIm8icU24kDb9XkbadJkibSbKgkk2TERsXUvCZN2YZMxcpUwka1RLxiIRawnYPuPfFm2YMXSvvXfLGSJWdtQibWUJ9r8fadPlibTp87QRybRVx7bbkZE2hR7QlDZbnaZm3ZA2hQGZCIG06TJtkrRJVkzELJKztb+L/l778ou5UxfjGbLx++zbypaNjuRsV7ZsoJCNaZ0pJgfsbtq8XbezGhwNadPtfKRNlyfSps8TaauOaSiRkTaFnqhC2pqadUPaFAYk0qYPMRaxF6XNyplkzey/86YxioyJiMmfka0s2T5v3zeSMvm674W0+RLLL4+05TPyKYG0+dByK8v0SDdOvqXItPkSq095pE2hr6qStiZm3ZA2hQGJtOlD7BFp85UzETARMREyK2ayxkz7XC6kTX/IIm26TJE2XZ5k2vR5kmmrjmkokZE2hZ6oWtqalHVD2hQGJNKmD7GG0vbCc89G68w2vbYh+rvdtEabNZO/x+3OoBXJmBUFj7QVJZd9H9KmyxRp0+WJtOnzRNqqYxpKZKRNoSc6IW1ZWbeNF8wzcjB3r1xIm35PsqZNl2mI0yOtoP3387/Zve4sfYdGu9Zs/wPe3RU5y+oJpE13jEo0pE2XKdKmyxNp0+eJtFXHNJTISJtCT3RS2qS6yR0mtxz3odYOkzdGh3PX/ULa9HsQadNl2m1pkymOa3/3onnh+d9Gf2etPbPZs3fs/+5oeuP4ffYLdmt8pE13jCJt+jyRNn2mrGnTZyoRWdOWznX5qtVm9rmXm8U3XGamTpk0oFDe6/EbfMpq9jLSpkCz09Jmq5zcYbIXsm5Im8KATIRA2nSZdlLaZGt9mdb4wnO/Mc+3/mRNcRRBG//2/cy48W+PBO2dBxyo2+iKoyFt+oDJtOkyRdp0eUo0pE2faS9LmxWlNGpzTjvFzD3z1LZANUVLM5bPKEDafGhllO2WtEl1ei3rhrQpDEikTR9iLGKV0rZrS/2XzDP/9XRmFk2mOIqk2Qxa3QQtrXOQNv0hi7TpMkXadHkibfo8bcRezbSVFaWy98d7TDOWz0hA2nxoBShttkrD77nbjJ17ttnj1Vejg7jrmnVD2hQGJNKmD7EiabNTHSNJ230mWrLyImWSPRNJ27/1bzmYutcupE2/R5E2XaZImy5PpE2fJ9LWnqkVLcnKLbztrr7C8y8+y8w6YYZJE7Ezzr/GPLRsVb/AMr1SLplqmRWrqt5F2hTIdjPTFq++CJuImwicXHVc64a0KQxIpE0fopK0SSZNNg3JkjQRMhGzXsqiuXQG0uZCya8M0ubHK6800pZHyP91pkf6M3O5Qy3TtmaNMfKn09fEicbIn8RVNrtl7z9o4gHmO4vmR9EX3HJnJHAr71s0QNpE2Nau29BXNv7+cq9IW1asqpAhbQpkQ5E225Q6Z92QNoUBibTpQywobbIm7fndkiayJtIWv+xUxwnvOShak9bJbfYrheQZHGnzBOZQHGlzgORRBGnzgOVYFGlzBOVZTE3a/vZvjfnCFzzfXaH4X/6lMV//eqa0pb1D0TVtaSJmNyo55MOnG5uFk/dsVzb5etpGJwpkDNKmQDE0aZMmSdZt1FfnG9msRK66ZN2QNoUBibTpQ/SQNptJe/63zw7Y2dFm0pouackOQtr0hyzSpssUadPlKdGQNn2mElFN2hYtMuaf/qmaSraL+ud/bszpp2dKW9buj3kVTcvUZYmYxEruNIm05RGuyeshSptFN+yBn7WmTJ4TbVgi18YL50V/Qr2QNv2eYfdIXabJjUjiUx4lqybZtfgla9JE0vZ/14GNzaTl9QDSlkfI/3WkzZ9ZuzuQNl2eSJs+TxtRTdqqq2KhyFrTI+PSl5dpcy0rDSpbPxcoZNpcKOWUCVnapOrJrNu2Qw8zG+ZfG2XfQruQNv0eQdp0mYq0vfzib82KlatMWjZNpjiKoImo9cLOjrr00qMhbfqUkTZdpkibLk+kTZ8n0taeqU+mTaY3fur0eWb8uNHm1usuigJfcuVN5q7vPxid8yZXu0wc0yOrG9+lI4cubbaByazbpjnnRbtMym6ToVxIm35PIG3lmcbXpv13K5u2IbY2LT7lUSRN1qlx+RFA2vx4uZRG2lwouZdB2txZuZZkeqQrKb9yvZ5pS6NRxZo2eR9Z12avo6dNiXaSTNu0RMqQafMbp10rXRdpE0DJrNuOAyeY9QtuDCbrhrTpD2OkrRhTO+3xySdWRjs+xq8xY8aaA1uZNLJpxdgm70LadDjGoyBtukyRNl2eEg1p02cqEXtV2qqh5R5Vdpr84f2P9O0m6X6nXkmmR/CpHjcAACAASURBVCqwrJO02eZK1m30vAvNkBWPR18KJeuGtCkMyEQIpM2daTtRs2vT3vf+95t3vH2cWbdxq3tgSrYlgLTpDxCkTZcp0qbLE2nT52kjNlXa4lmxNLq+G5jY4wBsrHFjR5n7lyyoruMcIiNtDpDyitRR2mybRl3b2mHyxuujDFwIWTekLW+0+b+OtLVnJqK2ZvVT5qknVgzY7XHipIP7sml22mNyIxL/HuGOJAGkTX9MIG26TJE2XZ5Imz7PpktbdUTDiYy0KfRFnaVNmi87S8oOk5J9k2vzSSe3pkze1JW1bkibwoBMhEDaBjLNEjVZnzZx0uRduz221qfJ/5MX0qY/RpE2faZImy5TpE2XJ9KmzxNpq45pKJGRNoWeqLu0WQRyppuc7SZZN9mcRDYpkWmTnbyQNn3aSNsupnbq44rHHumXUYuLmmTW8i6kLY+Q/+tImz+zvDuQtjxCfq8jbX68XEqzps2Fkn+Zpk6P9CdVvzuQNoU+6xVpExTJrFunD+VG2hQGZCJEk6Uta42ar6jFkSJt+mMUadNnirTpMkXadHlKNKRNn6lERNqq4RpC1ELSNnPWXLNu/cbU+stWmE27eknabN+N+OZtZvSXLux41g1p0//0NFHanly13DzzX09Ha9Xi1+QpU6Opjy4ZtayeQNr0xyjSps8UadNlirTp8kTa9HnaiEhbdWy7Hdlb2pKHzXW7ASG8fy9Km3CVaZIibiJwcknWTQ7llsO5q7qQNn2yTZE22ZZftudfs/pJI+eq2ctuJiJr1dLWqPkSR9p8ieWXR9ryGfmWQNp8ibUvj7Tp8kTa9HkibdUxDSWyt7TJlprzLz7LzDphRiht6Ho9elXaLNhOHsqNtOkP516WNpn+uPLxR6KMmvzbXrI9/+T3H2KqOOwaadMfo0ibPlOkTZcp0qbLE2nT54m0Vcc0lMhIm0JP9Lq0CaJOHcqNtCkMyESIXpM2yaJJNi156LVsyS9ZtUMOm27s9vz6NI1B2vSpIm36TJE2XaZImy5PpE2fJ9LWnunyVavN7HMvN77ntVXXU/6RvaVNpkd+fOZ0M/fMU/3frUfvaIK0xbNuVR7KjbTpf0h6RdrSpj/aDUVsVk2f3sCISJs+ZaRNnynSpssUadPlibTp8+x1abPSlUZuzmmn5HpJI6VtyXeXmq8tvL3rp4JXN9z9IzdJ2iyd+KHccjzAhiuuNa9/9jR/eIk7kLbSCAcEqLO02d0fl/3iwdTpj1rr1HyoI20+tNzKIm1unHxKIW0+tPLLIm35jHxLsHukLzG38r26EUlZ6Sp7vxv9akt5Z9pkTVu7i90jq+2wkKJXcTwA0qbfw3WUNptVk10g+35R0Jr+KGvUpn3w2EqnP+b1ANKWR8j/daTNn1neHUhbHiG/15E2P14upZE2F0r+ZZC2dGZp0hbfDf+giQeY7yyaH90sCap5V99srNPk/d+/l4rd4S1txd6mt+9qYqYt3qPJQ7k3nXOe2XjhvEKdjrQVwtb2prpIW1ZWTdapHfz+Q0tt069JFWnTpLkrFtKmzxRp02WKtOnylGhImz5TiaglbevXrzfyp9PX2LFjjfxJXmUzZcn7ZbmXXFbUkrvji9B9cc5noo0XL7nyJnPX9x80dhqm/P/Fl18xt153UUfxIG0KuJsubYIweTyAHAsgxwPIMQE+F9LmQ8utbOjSlpVVkw1FRNiq3FTEjWD/UkhbEWrt70Ha9JkibbpMkTZdnkibPk8bUUvafv7zn5vvfe971VU0I/IxxxxjPvnJT2ZKW9ptvmvaJIZsShLfDT+ZTTvj/GvMfvu8zVx16dlGBG7GUVP7RK1b+3sUkjbbsDi4Jh8DgLS9NRLKHg+AtOl/fwxR2uwOkMm1aqFl1dJ6A2nTH6NImz5TpE2XKdKmyxNp0+epLW2PPvqoeeyxx6qraEbkww8/3BxxxBGZ0lZ098d4pu3XzzwfTX+Mx0pm4hbccqf54f2PmCsuOtN86ZpbooycLBGTKZPyd9F6lAHqLW3SiIW33ZXaUBfTLVPZUO9F2vr3jGTdRt54vZHNSuTaceAE82pro5LNJ52c24VIWy4i7wIhSZtMgRRRk+yaPVetU1v1e4PLuAFp0yL5VhykTZ8p0qbLFGnT5Ym06fPUlrbqalgssub0SKlBXqZNyoicids8/+LLUcZNMmwfmDzBLH14eVc2ZPSWNkkRfvrkjwzYWlNk7o67f9KVRhTrfr27kLZ0lkNWPG7keADJvsklUyXXL7gxkrisC2nTG5fxb+DdHqNy+PWKxx6JZM1e9gDsyVOm6je6wohImz5cpE2fKdKmyxRp0+WJtOnzRNraM/Vd0ybRRNKeXvNcX6LKJq6Onjal4+vZpD7e0ibWmTYVMjkXtLrhGF7kbj8Qh0ekf42SG5VsvGCe2TTnvNRqI236vdmtTFvWxiIiad3eAbIMZaStDL30e5E2faZImy5TpE2XJ9Kmz7Mp0pZGzmWmn8/ukfY9ZMORZFYty4Oq69G3IntLG5m2gd2CtOUPVZkyOXbu2Wb4PXdHhbM2KkHa8ln6lui0tNkpkGtWP2lk7ZpcMgVSRE2ya6FtLOLLE2nzJZZfHmnLZ+RbAmnzJda+PNKmyxNp0+fZ69JWHbH6RPaWNta0IW1lhnfeRiVIWxm66fd2StrSdoGs6xTIdr2AtOmPUaRNnynSpssUadPlibTp82y6tOWdI92NjUO0e9lb2qQC7B7ZvxvItPkNy+RGJW+OGdNa63ZTtFEJ0ubH0qV01dImB2And4Gs+xRIpM1lZOmVQdr0WNpISJsuU6RNlyfSps+z6dJWHdFwIheStnCqH0ZNkLZi/ZC2UcmgRf9oNu57gNmy7c1iQblrAIEqpC1tvZpMe5zcOgRbDsKu+xRIpK2zHySkTZ830qbLFGnT5Ym06fNE2qpjGkpkpE2hJ5C2chDjG5WYsWPN6+eeZzac9XkjGTiu8gQ0pS1ry35Zr1a3XSCLkmV6ZFFy2fchbfpMkTZdpkibLk+kTZ8n0lYd01AiO0ubPatAzmhrd8mhc027kLbyPS5TJkd9db4RgZNLjgWQ4wHkmACucgQ0pM3KmkyFtJesVzv08OlGDsRu0oW06fc20qbPFGnTZYq06fJE2vR5Im3VMQ0lsrO0hVLhEOuBtOn1ytt/9XMz+MzPmT2efSYKKuvcZL0bWbfijMtIW9rmIr28Xs2FMtLmQsmvDNLmx8ulNNLmQsm9DNLmzsq15Ihhg83QIYPN+te2ut5COQcC8jOfqzcJeEtb1vkEHK7dmwOk062yG5EMnf/XZuSN1xvJwImwtTvbrdN1rNv7FZE2yag9+cTKfodhN13WbL8jbfqfAKRNnynSpssUadPlKdGQNn2mEhFpq4ZrCFHVpI3DtUPozvrXIb575OBWtm3s3HOMHBMgl0yVfO3CS5ky6dnNPtKW3AmyKZuL+CBF2nxouZVF2tw4+ZRC2nxo5ZdF2vIZ+ZZA2nyJuZVH2tw41bGUmrSlnRpeRyBF6sz0yCLU0u9J2/I/72w3vXfvzUgu0pYma03aXMSn55E2H1puZZE2N04+pZA2H1r5ZZG2fEa+JZA2X2Ju5ZE2N051LOUkbWnnsqU1dv7FZ5lZJ8yoI4dSdUbaSuHrd3PWOW1pZ7sxZdKNeztpQ9bcGMZLIW3+zPLuQNryCPm/jrT5M2t3B9Kmy1OiIW36TCUi0lYN1xCiOklbvKJZa9pCaEy36oC06ZHPO1ybKZP+rJPSlnXGGpk1N7ZImxsnn1JImw8tt7JImxsn11JImysp93JImzsrn5JImw+tepX1lrZ6Na8ztUXa9DjnSZt9p+H33G3GfOlCIxIn16Y550WblbDL5MC+sNImsvbUEytaG4ysMPJvucbvs2+0bX9TzljTGKlImwbF/jGQNn2mSJsuU6RNl6dEQ9r0mUpEpK0ariFERdoUegFpU4C4O4SrtElxpky6cR8xeItZ+h+/7Cdrcsba9KOONfI3lx8BpM2Pl0tppM2Fkl8ZpM2PV15ppC2PkP/rSJs/M5c7kDYXSvUs4y1ty1etNrPPvTyztRyuXc+BEEqtfaTN1nnIisfN6HkXsstkohNtZu3XT64069evj15F1sqPdKStPMNkBKRNnynSpssUadPlKdGQNn2mEhFpq4ZrCFG9pW3mrLlmxlFTzdHTPmC+tvB2c/+SBVE7PnX6PPPxmdPN3DNPDaFdHa0DmTY93EWkzb77iG/eZka3pkxKBk6upk6ZTJsGiazpjVGkTY+ljYS06TNF2nSZIm26PJE2fZ42ItJWHdtuR/aWNrsRyXsn7G/+1yVf75M22WEyLnHdblgn3x9p06NdRtqkFk2eMpkla5/4+EfM0FH76XVSwyMhbfoDAGnTZ4q06TJF2nR5Im36PJG26piGErmwtMnW/iJwdjokh2uH0qX1rkdZabOtb9Iuk3mZNZdz2uo9ajpbe6RNnzfSps8UadNlirTp8kTa9HkibdUxDSWyt7TJNMgPTJ5grrr07GhKpP03h2uH0qX1roeWtFkKyV0mX//saWbDFdf2zC6Tyx5+IHeDEaRN9zOBtOnylGhImz5TpE2XKdKmyxNp0+eJtFXHNJTI3tKWrLhk2+y1+IbLzNQpk0JpW8fqwfRIPdTa0iY1s1MmR954ffRvORZg0zmtIwIunKdX8Q5HSh6K3W7NGtKm2zlImy5PpE2fp0RE2nS5Im26PJE2fZ5IW3VMQ4lcWtpCaUg364G06dGvQtps7ZJTJnccOMGsX3Cj2XLch/QaUHGkpKyNGj3GHP+xE9tu3Y+06XYK0qbLE2nT54m06TNF2vSZsnukPlOJyEYk1XANIaq3tNmNSGRNG9cuAkib3kioUtpsLYc98DMzdu45fQdzi7SJvInEhXqlydq0Dx7rdCg20qbbq0ibLk+kTZ8n0qbPFGnTZ4q06TNF2qphGkpUpE2hJ5A2BYi7Q3RC2mxtR1073ySnTMq0SZk+GcpVRtZsG5A23d5E2nR5Im36PJE2faZImz5TpE2fKdJWDdNQonpLW5PPY8vqNKRNbzh3Utqk1rLGTc52kzPe5JJs28YLLjWyYUk3rxeee9b89Ef3GtkZUi6ZBumaWUvWG2nT7UmkTZcn0qbPE2nTZ4q06TNF2vSZIm3VMA0lqre0LV+1ut/5bKE0pJv1QNr06Hda2mzNZcrk3tdeaeRvuWTK5GsXXtrx9W4iaT9f+mOzZvVTpWXNtg1p0xufEglp0+WJtOnzRNr0mSJt+kyRNn2mSFs1TEOJ6i1t8d0i0xphz20LpYGdqAfSpke5W9JmWyAZN8m8SQZOrk4dESCytuwXDxqZDimXZNYmv/9QM+2o40rDRdpKI+wXAGnT5Ym06fNE2vSZIm36TJE2faZIWzVMQ4nqLW2hVDykeiBter3RbWmTlmQdEVDFerekrMn7Tz3iSHPIYdMjcdO4kDYNim/FQNp0eSJt+jyRNn2mSJs+U6RNnynSVg3TUKJ6S1vW7pELbrnT3HH3T8z9SxaE0raO1QNp00MdgrTZ1qQdEfBq62DuzSedXLrBImtPPbHCLH/sl2brli1RvMlTpkbr1rRkzVYSaSvdXf0CIG26PJE2fZ5Imz5TpE2fKdKmzxRpq4ZpKFHVpG3Jd5eaeVffbJgeGUrX1rMeIUmbJai93i25I2RVsoa0VfMZQNr0uY4ZOcRs37HTbNq8XT94QyNyuLZuxyNtujwlGtKmzxRpq4ZpKFHVpO2SK28ySx9eHlymzcpkEnhcLmVHzKfXPBcVOWjiAeY7i+b3K573Opk2veEcorTZ1o1ceL0Z9dX5/da7yU6True7JWXtnQccaH5v5kfN+H321QOYEolMmy5epE2Xp0RD2vSZIm26TJE2XZ5Imz7P+C9qq4tO5G4ScJK2LPFJVnz+xWeZ0A7dlrp/beHtmTJ5xvnXmLXrNvSJmgja+HGjza3XXRQ1L+91KYO06Q3hkKVNWllkvZvm9v1FSCNtRahl34O06fJE2vR5SkSkTZcr0qbLE2nT54m0Vcc0lMhO0havbNaatlAalKxHnrTNnDXXfHHOZ/pkM1k+73WkTbfnQ5c221pZ7zamtcvk8Hvujr4kB3JvaK13i5/vlrYjZNGz1spQRtrK0Bt4L9KmyxNp0+eJtOkzRdr0mTI9Up+pRJSf+Vy9ScBb2uqGIS1LaKdGyplzs8+93Cy+4TIzdcqkqGnxr8n/271u7yHTpjcq6iJttsVp692eu2ieeeiN1/q27x86bJiZeviR5tDWH/l3py+kTZc40qbLE2nT54m06TNF2vSZIm36TJG2apiGErXnpS0JOj7dUUvaNr6+LZT+rH099hq2p9m6fYfZ0dqUoE7XkH/5ZzP0yr82P3vPe8xjRxxh1o8dG1X/kEMPM7937EwzupWJ69Y1asQQwxjVo7/n4D3MkD0HmTe27NAL2vBIw4YONm++udNs2/5mw0noNX/kXnua1zfvMDt31ut7qR4B3UiDBg0yI4YPNpveYLMcLbJD9tzDiAxv3sr3Ui2mEkd+5nP1JoFC0iZTBtet35hKJPTdI62oST2RtvAGdV2lbeWKx81/PHi/2bD7UO7DH33UfPi++8yIP/0zs/XSL5mdY3ZJXDcupE2XOtKmy1OiIW36TJE2XaZImy5PiYa06TNF2qphGkpUb2lLbtQRSkNc65E8miBtzVr86IK81+V9mR7pSj+/XN2mR659+SXzg3u+bWT9WvTNsnUg9jEzPmoOv/UfjOw2KZesd5ODuas4nDuf6K757YxRF1JuZZge6cbJpxS7R/rQcivLRiRunFxLMT3SlZR7OaZHurPyKcmaNh9a9SrrLW1124hEpCt+4Lfv7pDsHtnZAV0XaXPZZCR5OLfI28YL5plNc87rKFSkTRc30qbLU6IhbfpMkTZdpkibLk+JhrTpM5WISFs1XEOI2vPSFj9jTYAfPW1K33b+tgPyzmHLe50sht5QDl3aRNaeemKFeeThB/oaPf2o49puMpLcrETOdVu/4Eaz5bgP6YFrEwlp08WMtOnyRNr0eUpEpE2XK9KmyxNp0+dpIyJt1bHtdmRvaROB+fjM6Wbumad2u+7BvD/SptcVIUtb8nDsyVOmGtnCX6ZEulwib2PnnmMkAyeXSNtrF15aubwhbS69414GaXNn5VqSTJsrKfdySJs7K5eSSJsLJb8yZNr8eLmWRtpcSdWvnLe05Z17Vj8E5WuMtJVnaCOEKG3Jw7HH77Ov+f2T/shZ1pJ0ZK3bqK/Ojw7qtvImmTfJwFVxIW26VJE2XZ4SDWnTZ4q06TJF2nR5SjSkTZ+pRETaquEaQlRvaZM1be2u0HePrAI60qZHNSRpc1m3VrTlImwjb7w++mPlTQ7mlgO6Ze2b5oW0adI0BmnT5Ym06fOUiEibLlekTZcn0qbP00ZE2qpj2+3I3tLW7QqH+P5Im16vhCBtW7dsMSse+2XfujV7OPa01to17UuETbJuVe40ibTp9hrSpssTadPnibTpM0Xa9JmSadNnKhGRtmq4hhAVaVPoBaRNAeLuEN2WtrLr1oqSkHVuY750oRl+z91RCM1jApC2or2Sfh/SpssTadPnibTpM0Xa9JkibfpMkbZqmIYStZC0xXdTnH/xWWbWCTOMTJtM25kxlIZWWQ+kTY9ut6RNpkL++5LF/c5b+4NZswuvWytKJLnTpJW3jRfOKxqSc9oKk0PalNFlhmNNmz5ppkfqMkXadHlKNKRNnynSVg3TUKJ6S1v8nLP4wdMLbrnT3HH3T/qdiRZKI6uuB9KmR7jT0lblurUyVNKOCdh4waVG1r35XmTafIm1L0+mTZenREPa9JkibbpMkTZdnkibPk8bkemR1bHtdmRvaZOM2uIbLjNTp0wycWmTXSXnXX2zYSOSbndpvd+/k9K2rHXW2pOtM9dE3OTKO2+tG2Q1znhD2nR7DmnT5Ym06fOUiEibLlekTZcn0qbPE2mrjmkokb2lTUTt76/6wgBpI9MWSpfWux6dkLZurVsr0zMjvnlba8OSKwud8Ya0lSE/8F6kTZcn0qbPE2nTZ4q06TNleqQ+U4lIpq0ariFE9Za2S668ySx9eHk0DdJm2t47YX8z+9zLzSmfONZcdenZIbSro3VgeqQe7iqlLW0q5DEzPmomTjpYrwEVR0o74y3vgG6kTbdTkDZdnkibPk+kTZ8p0qbPFGnTZ4q0VcM0lKje0iYVt1Mh442Yc9opZu6Zp4bSro7WA2nTw12FtCW38B81eow55LDpZuoRR+pVvIOR0s5423Lch0yWvCFtup2DtOnyRNr0eSJt+kyRNn2mSJs+U6StGqahRC0kbaFUPpR6IG16PaEtbXWcCulK01XekDZXom7lkDY3Tj6l2IjEh5ZbWda0uXFyLYW0uZJyL4e0ubPyKcn0SB9a9SrrLW1nnH+NeWjZqgEbjrDlf706PtTaakmbTIX8+dIfmzWrn4qaKtm1bmzh3wnOefKGtOn2AtKmy1OiIW36TJE2XaZImy5PiYa06TOViEhbNVxDiOotbbKO7dMnf2TAVEg2IgmhO+tfh7LSJrL2VGtHyEdaO0NaWZv2wWPN5ClT6w8npwVZ8jbsiq+Y56ce3fPt71QDkTZ90kibPlOkTZcp0qbLE2nT52kjIm3Vse12ZG9pk4yaPVA7Xnm2/O92V/bG+5eRtl6eCunTu3mZN59YlB1IAGnTHxVImz5TpE2XKdKmyxNp0+eJtFXHNJTI3tJGpm1g17GmTW84F5E2ya794J5vm7UvvxRVpJenQvqQtvI26qZvGLN+fXRruw1LfGI3uSzSpt/7SJs+U6RNlynSpssTadPnibRVxzSUyN7SJtMgF952V98B29KQ5atWR1v+N3UHSaRNbzj7SFvarpBNmQrpQ3z/wVvMxqv+xoy88XojIoe8+dAbWBZpK8cv7W6kTZ8p0qbLFGnT5Ym06fNE2qpjGkpkb2mTiqdt+Z82ZTKURlZdD6RNj7CrtDEV0p253YiEaZPuzNqVRNp0OMajIG36TJE2XaZImy5PpE2fJ9JWHdNQIheStlAqH0o9kDa9nsiTtibtCqlFNbl7JPJWjizSVo5f2t1Imz5TpE2XKdKmyxNp0+eJtFXHNJTISJtCTyBtChB3h2gnbctaO0I2cVfIsnSztvxPk7cdB04wGy+41Lz+2dPKvm3P3o+06Xct0qbPFGnTZYq06fJE2vR5Im3VMQ0lciFpk81I1q3fmNqGlfctCqVtHasH0qaHOk3amApZjm/eOW0ib3t98zazd2vDksHPPhO92ZtjxphN55wX/ZF/c71FAGnTHw1Imz5TpE2XKdKmyxNp0+eJtFXHNJTI3tL2qdPnmfHjRptbr7solDZ0vR5Im14XxKVNpkIu+8WDRqRNLnaFLMY5T9riUUe05G2vxf9qhj3wM+QtAzfSVmwctrsLadNnirTpMkXadHkibfo8kbbqmIYS2Vvass5pC6VB3agH0qZH3Urbfzxwf7+pkIccNt1MPeJIvTdqUCQfabNYRNr2vvZK5C1lnCBt+h8epE2fKdKmyxRp0+WJtOnzRNqqYxpKZKRNoSeQNgWIu0Nsf+MV83+/dYfZ0MqyyTV5ylQj2/hLlo2rGIEi0pYlb/L1zSed3Jo2+fnozLcmXkibfq8jbfpMkTZdpkibLk+kTZ8n0lYd01Aie0ubTI/8+MzpZu6Zp4bShq7XA2kr3wVpUyGPmfFRM3HSweWDNzxCGWmLy5tMm5Tpk/Zq6kHdSJv+Bwpp02eKtOkyRdp0eSJt+jyRtuqYhhLZW9rkjLavLbzd3L9kQSht6Ho9kLZyXZDcaOSo35thDp9+bLmg3N1HQEPabLCs4wI2n/iH5o3WjpNN2LQEadP/cCFt+kyRNl2mSJsuT6RNnyfSVh3TUCJ7S5usaWt3sXtkKF0bfj0ku/aDe75t1r78UlRZyaqdeOIJZvDQkWbLtjfDb0BNaqgpbe3krSk7TiJt+gMfadNnirTpMkXadHkibfo8kbbqmIYS2VvaQql4SPUg0+bfG1lnruUdru3/TtxRhbTFqabtOClZN8m+9eK6N6RN/zOFtOkzRdp0mSJtujyRNn2eSFt1TEOJjLQp9ATS5g4xORVSdoSUnSHtRiNImztL15JVS5utR3LHSfl6L657Q9pcR557OaTNnZVrSaTNlZRbOaTNjZNPqRHDBpuhQwab9a9t9bmNsjkE5Gc+V28SKCRtsq5t3tU39yMy/+KzzKwTZvQmpZxWIW353e565hrSls/St0SnpM3WSw7oHrH4X8zIG683sgZOrl6aOom0+Y7A/PJIWz4j3xJImy+x9uWRNl2eEg1p02cqEZG2ariGENVb2hbccqdZeNtdZvENl5mpUyZFbVi+arWZfe7lZs5ppzRyV0mkrf1QjmfXhg4bZqYefqSZdtRxqTchbfrfFjotbbYFdtMSETgROStvdZ86ibTpj1GkTZ8p0qbLFGnT5Ym06fO0EZG26th2O7K3tM2cNdd8+uSPDJAzkbk77v5JI3eVRNrSh7Fk1/59yWIjf8vlcuYa0qb/LaFb0hZvSdbUSTnvTc59q9OFtOn3FtKmzxRp02WKtOnyRNr0eSJt1TENJbK3tMnukWlTIe2USXaPDKVru1uPrI1G8mqFtOUR8n89BGmztR6y4vFo6uRerfPe6jp1EmnzH4N5dyBteYT8X0fa/Jm1uwNp0+WJtOnzRNqqYxpKZG9pI9M2sOvItL3FZM3qp8zPl/64L7uW3Ggkb+AjbXmE/F8PSdps7UXYRNyG3/tvRrJw9qrDxiVIm/8YzLsDacsj5P860ubPDGnTZZYXjTVteYSKvc70yGLc6nCXt7Sxpg1pSxvYrhuN5H0okLY8Qv6vhyht8VaItI288RtmaOvvOmTfkDb/MZh3B9KWR8j/daTNnxnSpsssLxrSlkeo2OtIWzFudbjLW9qkUewe2b9r6qclLwAAHHhJREFUm55pS27jP721yUjWRiN5HwqkLY+Q/+uhS5ttkd24JL7rpLwWWvYNafMfg3l3IG15hPxfR9r8mSFtuszyoiFteYSKvY60FeNWh7sKSVsdGtbJOjZV2iS79tMf3WteeO7ZCLfLRiN5/YK05RHyf70u0hZvWdrGJfbYgNdn/6nZceAEfxBKdyBtSiBjYZA2faZImy5T1rTp8pRoSJs+U4mItFXDNYSo3tJ2xvnXmIeWrTLJDUdkg5Kjp00xt153UQjt6mgdmihtRTcayesYpC2PkP/rdZQ220qbfRt+z91GNjGxl2TfNp/4h0aODxCZ6+SFtOnTRtr0mSJtukyRNl2eSJs+TxsRaauObbcje0sbG5EM7LImSVuRbfx9BjnS5kPLrWydpS3eQsm+ycYlyZ0nO33uG9LmNu58SiFtPrTcyiJtbpxcSyFtrqTcy5Fpc2flUxJp86FVr7Le0saW/82Utq1btphlv3jALH/0lxGAUaPHmGNmfNRMnHSw6ohH2lRxRsF6RdosmaydJzs1fRJp0x+jSJs+U6RNlynSpstToiFt+kztz/xqIhO12wS8pY1MW/OkTXOjkbwBj7TlEfJ/vdekLU5g8LPPROe+pW1eUtX0SaTNfwzm3YG05RHyfx1p82fW7g6kTZcn0qbP00Yk01Yd225H9pY2tvxvjrRpbePvM8iRNh9abmV7WdriBNKmT8rrsv7tjdl/YjafdIrK+jekzW3c+ZRC2nxouZVF2tw4uZZC2lxJuZcj0+bOyqck0uZDq15lvaVNmseW//07uRfXtHUyuxanibTpfwNpirRZcjJ9cvg9d5m9Fv9rv4O7ZfqkiJsI3LZDDy8scEib/hhF2vSZIm26TJE2XZ4SDWnTZyoRkbZquIYQtZC0hVDxkOrQS9KWzK7JmjVZuyZr2DpxIW36lJsmbXGC7da/WYGTTJzPhbT50HIri7S5cfIphbT50Movi7TlM/ItgbT5EnMrj7S5capjKaRNodd6RdpkkxHZbEQ2HRFJm/bBY6Oz1zp5IW36tJssbUmBk7VvQx+4v1QGDmnTH6NImz5TpE2XKdKmy1OiIW36TCUi0lYN1xCiIm0KvVB3aat6G38fxEibDy23skjbQE52A5MsgZNNTLa2MnBpZ8AhbW7jzqcU0uZDy60s0ubGybUU0uZKyr0c0ubOyqck0uZDq15lkTaF/qqztFV1SHZRrEhbUXLZ9yFt7Zm2EzhZ+5bchRJp0x+jSJs+U6RNlynSpstToiFt+kwlItJWDdcQoiJtCr1QR2kLKbsW7wKkTWFAJkIgbe5MReCG33N3dIi37EYZv2TtmwjczlmzzPCDJ5l1G7e6B6ZkWwJIm/4AQdp0mSJtujyRNn2eNiLSVh3bbkdG2hR6oG7SlsyuHf+xE807DzhQgUT5EEhbeYbJCEhbMabxTUyGrHjMyP/ttXPCRPN6S+BE4srsRFmsZr13F9Km36dImy5TpE2XJ9KmzxNpq45pKJGRNoWeqIu0vfDcs+anP7rXSJZNrulHHWemtf6EdCFt+r2BtJVnKsI2tJV5kwzcXq1M3KBX1/cFlXVvsv5ty7EzzRufPa3wUQLla1nfCEibft8hbbpMkTZdnkibPk+krTqmoURG2hR6InRpk90gZVdI2R1SLtkZ8g9mze7YNv4+iJE2H1puZZE2N06upWRN294PLTVbfvDjaCrlkBWP97t1x4ETWufBnUwWzhVoqxzS5gHLsSjS5gjKsRjS5gjKoxhr2jxgeRRleqQHrJoVRdoUOixkaevWIdlFsSJtRcll34e06TJNbkRip1EOe/D+KBsXn0YpWTi7mcn2qYcZ3zPhdGsebjSkTb9vkDZdpkibLk+JhrTpM5WISFs1XEOIirQp9EKI0pY8JDvk7Fq8C5A2hQGZCIG06TLN2z1SNjCRowSSxwlILeJTKSUbJ1k5LjJtVYwBpE2XKtKmyxNp0+dpIyJt1bHtdmSkTaEHQpO2umXXkDaFQdgmBNKmyzdP2uLvJlm34ffcZYasXB5NpZTdKeOXSNzmk04x2w6ZarbO+FArK3eYbmVrEo1Mm35HIW26TJE2XZ5Imz5PpK06pqFERtoUeiIUaUtm12RHSNkZUrJsdbnItOn3FNKmy9RH2pLvLNIWZeIeXBrJXHwqpZSNZ+KaNJ0SadMdoxINadNlirTp8kTa9HkibdUxDSUy0qbQEyFIWzy7NnTYMDPtg8eZqUccqdC6zoZA2vR5I226TMtIW5rERZuZtDJxInNpmThZExcJXGt3StmlUsSu1y6kTb9HkTZdpkibLk+kTZ8n0lYd01AiI20KPdFNaUtm1yZPmdoStmNrlV2LdwHSpjAgEyGQNl2mmtKWJnEib1nTKaW8rIOTDU1kSqXIXC+cE4e06Y5RiYa06TJF2nR5Im36PJG26piGEhlpU+iJbklbPLsmUyBF1kTa6nwhbfq9h7TpMq1S2pI1tefDyc6Uey5/vHW8QP9Dvm15WQu3berhfWvjdrx7Qq0yckib7hhF2vR5Im36TNk9Up+pRGQjkmq4hhAVaVPohU5LW69l1+JdgLQpDMhECKRNl2knpS2t5nIu3JDlj0Xr4uTv5DlxaSIXekYOadMdo0ibPk+kTZ8p0qbPFGmrhmkoUZE2hZ7opLT1YnYNaVMYhG1CIG26fLstbWnZOMnARZm4jLVx9h6ZWilZuejv1vRKmWYZwrEDSJvuGEXa9HkibfpMkTZ9pkhbNUxDiYq0KfREJ6RNsms//dG95oXnno1qXPe1a1nYybQpDMhECKRNl2lo0pbWOplWOfg3z5ihS3etj5OMnPw/uVtlXOYigXv3gdEfmWrZySmWSJvuGEXa9HkibfpMkTZ9pkhbNUxDiYq0KfRE1dK2/NFfmmW/eMBs3bIl2mCkF9auIW0KA88xBNLmCMqxWB2kLasp9sgBETn5t0ytTO5YGb83npnb/q6W0MUydY64nIohbU6YvAqxEYkXrtzCSFsuIu8CSJs3MqcbWNPmhKmWhZA2hW6rStqakl2LdwGZNoUBmQiBtOkyrbO0pZGwWblofZyjzMmxAzvHjO2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/3D0EIAABCEAAAhCAAAQgUHMCSFvNO4jmQQACEIAABCAAAQhAAALNJoC0Nbv/uXsIQAACEIAABCAAAQhAoOYEkLaadxDNgwAEIAABCEAAAhCAAASaTQBpa3b/c/cQgAAEIAABCEAAAhCAQM0JIG017yCaBwEIQAACEIAABCAAAQg0mwDS1uz+5+4hAAEIQAACEIAABCAAgZoTQNpq3kE0DwIQgAAEIAABCEAAAhBoNgGkrdn9z91DAAIQgAAEIAABCEAAAjUngLTVvINoHgQgAAEIQAACEIAABCDQbAJIW7P7n7uHAAQgAAEIQAACEIAABGpOAGmreQfRPAhAAAIQgAAEIAABCECg2QSQtmb3P3cPAQhAAAIQgAAEIAABCNScANJW8w6ieRCAAAQgAAEIQAACEIBAswkgbQH6/7W3NgcohSKSBPaZPNasWb/V9O3YCZzABMaMGm7G7THKvLVha+CSKU4ITBk/2ryztc9sebcPIIEJDB82zLx38hjz+totgUumOCEwfo+RMYiNm7cDRIEAcU0B6q4iiWt6bG3J++21h34l1JBJAGkL8HAgbQEgphRBcNPhKqUS3PTYIm26bJE2Xb5Imy5f4poeX+KaHlukTZ+tTw1Imw+lnDRIWwCISJsOxIxSCW66uBlp0+OLtOmxlZKRNl2+SJseX+KaHlukTZ+tTw1Imw8lpC0ApeJFENyKM/PNQXDzJVUuHdJWjptPLqTNh1L5NEhbeXY+OYlrPpTKpSGuleNWJBfTI4vQCp+2MdK2cvUL5pxLrzX33nq1mTXjoEEkTz9vkXn+xVfj7x1y4DTzwJLrCr3OSFv4B1NKJLjpcJVSCW56bKVkpE2PL9Kmx1ZKRtp0+RLX9PgS1/TY2pKRNn3GrWpohLTNXbDQrF23MeaQlLbzL7/RvLV2w4CoicDtNWWCufvmK+P0ea9LGqRN5yEmuOlwRdr0uNqSkTY9xkibHlukTZetlE5c02OMtOmxRdr02frU0AhpExBZI20idFdccrZZMH9OzGvpshXmptvuM48uXRx/nfc60ubzmJVLQ3Arx80nF8HNh1L5NEhbeXZ5OZG2PELVXmekrRq/vNzEtTxC5V8nrpVn55uTkTZfUjrpGi1taSLnfk+QJ6dUpuVhpE3n4SS46XCVUgluemylZKRNjy/SpsdWSkbadPkS1/T4Etf02NqS2yltyZlv+ncXroZWS7Kq1IK0Jda5FZW2P/kTY1b8dFuVPiBvBoE9o/OC3tnSZ3bu5Jy20A/JiBHDzOiRI8zmrZzFFJqtlLfHmBFm2/adZnvfDo3iG13msOictj3HjjCbOEdM5TkYHZ3hKNe723h2NQAT1zSo9pdJXNNja0se/55RwSqR5Uc/e2r1oPKmTBo/MNOtE9Ims+0W3XCnue6qCwdm4JW5YaStDDUnT96omt2cpKi0Re8fzIY/Im0Vuyc1O8FNgyrBTY/q7pKRNj3KSJseWykZadPlS1zT44u06bENLW0z551nXEGz5YvI7TN1srn+yxebTkhbKIJIW0WSRda0iWWvWr4krjFtTZv7ukjb409tMdPfz2hQxS4akp1pJKGJ7i6PaSR6bKVkpkfq8WV6pB5bKZnpkbp8iWt6fIlremxtySGmR4qYPffCKwMjalmtttImr9sRuSzRc0fs3A0H5T38nI/OMiueWDmwIeEl555mpk97bzyiZi+bJ80VkiOCkn/hBWfGGxUmRwqtOyBtFZ/FLIB5u0PmvY60VeyYFtkJbnpsCW56bJE2XbZImy5fpE2XL3FNjy9xTY9tSGmTUbbTTp4dj6a1uuxxXFaSJK1I2KEH7Z+5w/viu75nbvv2g4MGXmT3eCtl9vXkNEwpW477SrpCUjDl9Vvu+E5cv7x22UWfGThGTNqbVU6onmnEmjZ3y//4DZUzZ1a+rnJOm0jbdx/Yak44kfn/oR5KWw7BLTTR3eUR3PTYIm26bJE2Xb5Imy5f4poeX+KaHttQ0malyGfNWNr0yC997Xbz69/+PlWwbBvlPf9Zp54Uj4bZkTYriGkDOFKmjMTJrvFpS6R82ip1ixDe/9AjQ8pJng1dpZcaIW1VAOXlRdryCJV/neBWnl1eToJbHqFqrzM9shq/VrmRNj22UjLSpsuXuKbHl7imx7aO0mY3DUm7azs6lyVtrohlydbvfv9aPIXSTnlMqyc5KCRpJD3TI/WfxVI1iLTdsvhdc9Zn+0rlJ1M2AYKb3tNBcNNjKyUjbXp8kTY9tkibLlspnbimx5i4psc2lLRJOUWmR+41ZcLAVEjJ6460WWnLkypZ05YcaQshbXIfxx0zY6B97tRMpE3/WSxVA9JWCptXJoKbF6ZSiQhupbB5Z0LavFEVToi0FUZWKAMjbYVwFU5MXCuMzDsDcc0bVemE7diIRMQsa/fItOmRraYvVhlpE0hyVnNa+WnCiLSVfqzal1Gk7YovbjOXf5HzrkJTJ7iFJrq7PIKbHlspGWnT44u06bGVkpE2Xb7ENT2+xDU9trbkENImZaVt+W9FyG5SkremTcqxOzi6o20idscdc0R8zloVaZO1aNKGtes2DOx0aTcikQ1IkkIn9yQX0yP1n8PSNSBtpdHlZiS45SIqnYDgVhqdV0akzQtTqURIWyls3pmQNm9UpRIS10ph88pEXPPCVClRKGlzhcttkDuq5SNtWeW4x3aVnR5pNxBxNyuU+mwbRQ4ffPixgebLOjq7cyXTIys9ZnqZRdpkPZusa+MKS4DgFpanWxrBTY+tlIy06fFF2vTYSslImy5f4poeX+KaHltbckhp029t79XA7pEV+1Skbf4pfeaue5C2iiiHZCe4hSa6uzyCmx5bpE2XLdKmyxdp0+VLXNPjS1zTY4u06bP1qQFp86HUIo1Im5zRJme1cYUlQHALy9MtjeCmxxZp02WLtOnyRdp0+RLX9PgS1/TYIm36bH1qQNp8KOVI28wjd5iHlyNtFVEOyU5wC010d3kENz22SJsuW6RNly/SpsuXuKbHl7imxxZp02frUwPS5kMpR9qmv3+nefypLRVLInuSAMFN75kguOmxRdp02SJtunyRNl2+xDU9vsQ1PbZImz5bnxqQNh9KOdImL7+6ZnPFksiOtLXvGSC46bJmIxI9vkibHlspGWnT5Yu06fElrumxRdr02frUgLT5UELaKlIql53gVo6bTy6Cmw+l8mmQtvLs8nIibXmEqr2OtFXjl5ebuJZHqPzrxLXy7HxzsnukLymddEhbRa4f+IAxL75o4umRMk2SKxwBgls4lsmSCG56bKVkpE2PL9Kmx1ZKRtp0+RLX9PgS1/TY2pKRNn3GrWpA2iryP/poY55+2sQbkciGJFzhCBDcwrFE2vRYppWMtOnxRtr02CJtumyldOKaHmOkTY8t0qbP1qcGpM2HUos0J51kzPLlJt7yX7b+5wpHgOAWjiXSpscSaWsvW6RNlzcjbbp8iWt6fJE2PbZImz5bnxqQNh9KLdKccYYxS5cac8vid81Zn+2rWBrZXQIEN73ngeCmx1ZKZqRNjy/SpsdWSkbadPkS1/T4Etf02DZJ2mbOO88ccuA088CS6/SBFqwBaSsILJn8ssuM+cY3jLnmq9vMRZdsr1ga2ZG29jwDBDddzkibHl+kTY8t0qbLVkpH2vQYE9f02DZF2hbf9T3zT48+adau22D++vrLzKwZB+lDLVAD0lYAVlrSr3wlErZrjLnii9vM5V9E2iriHJSd4BaS5uCyCG56bKVkpE2PL9KmxxZp02WLtOnyJa7p8pXSe30jktPPW2Q+OfdY88tVz5l9pk4213/5Yn2oBWpA2grASku6ZIkxn/+8iadGyhRJrnAEkLZwLJMlEdz02CJtumyRNl2+TI/U5Utc0+NLXNNja0sOKW2yH0Qnrnnz0mtdufoFc86l15p7b73a/O73r5mbbrvPPLp0cSeamFkn0laxO2Q9m6xrm39Kn7nrHqStIs5B2QluIWkOLovgpscWadNli7Tp8kXadPkS1/T4Etf02GpI2+TJxqxbp9/mZA1vv23MpElD67VTI+1aNlnbJgJXpymSSFvF50X+UiA7SMrOkbKDJFc4AgS3cCyTJRHc9NgibbpskTZdvkibLl/imh5f4poeWw1pk/fOnbgeeSS9Vjs1cuEFZ8YJzr/8xtpNkUTaKj4xcrC2HLAtB2vLAdtc4QgQ3MKxRNr0WKaVzJo2Pd5Imx5bKRlp0+VLXNPji7TpsdWQNv3W+tdgp0Ymc0yZNL5WUySRNv8+TU0pQ7syxDth4k6z+ndIW0Wcg7IT3ELSHFwWwU2PrZSMtOnxRdr02CJtumyldOKaHmPimh7bXpe25NRIe78yRfK6qy40C+bP0YfrUQPS5gEpL8mwYf0pRNpE3rjCECC4heGYVgrBTY8t0qbLFmnT5ctImy5f4poeX+KaHttel7a5Cxaas049ydipkfZ+ZYqkXHfffKU+XI8akDYPSHlJ3n/ATvPyS8Pi6ZEyTZIrDAGCWxiOSJsex6ySGWnTY4606bGVkpE2Xb7ENT2+SJse216XNn1yYWpA2gJwnD1nh/npT4bHG5HIhiRcYQgQ3MJwRNr0OCJt7WeLtOkyR9p0+RLX9PgibXpskTZ9tj41IG0+lHLSfOrf95ll3x8Rb/kvW/9zhSFAcAvDEWnT44i0tZ8t0qbLHGnT5Utc0+OLtOmxRdr02frUgLT5UMpJc/Gl280dt40013x1m7noku0BSqQIIUBw03sOCG56bKVkpkfq8UXa9NhKyUibLl/imh5f4poeW6RNn61PDUibD6WcNP/5ym3mpq+PioVNxI0rDAGCWxiOaaUQ3PTYIm26bJE2Xb5Imy5f4poeX+KaHlukTZ+tTw1Imw+lnDTf+Oa75rKFo+OpkTJFkisMAYJbGI5Imx7HrJIZadNjjrTpsZWSkTZdvsQ1Pb5Imx5bpE2frU8NKtImW2euXbcxtf5Vy5f4tKur0vzdg1vNp08fE29CIpuRcIUhQHALwxFp0+OItLWfLdKmyxxp0+VLXNPji7TpsUXa9Nn61BBc2k4/b5HZa8qE2pxp4AOhapp//NFWc/K8MfF2/7LtP1cYAgS3MByRNj2OSFv72SJtusyRNl2+xDU9vkibHlukTZ+tTw3Bpa1up4f7QKia5rW3NptpU/eIi3l1zeaqxZF/FwGCm96jQHDTYyslMz1Sjy/SpsdWSkbadPkS1/T4Etf02CJt+mx9akDafCjlpBFpm3HwWLNhPQdsB8A5UATBLSTNwWUR3PTYIm26bJE2Xb5Imy5f4poeX+KaHlukTZ+tTw3BpU2mR35y7rFm4QVn+tTfE2lE2mRNGwdsh+1OgltYnm5pBDc9tkibLlukTZcv0qbLl7imx5e4pse216Vt5eoXzDmXXjsE4HVXXWgWzJ+jD9azhuDStnTZCnPTbfeZR5cu9mxC9ycTabvgc6M5YDtwVxLcAgN1iiO46bFF2nTZIm26fJE2Xb7ENT2+xDU9tk2RtntvvdrMmnFQfLtf+trtZsUTK2vlM8GlTda0tbp6cfdIkbabvz4yPqvtii9uM5d/kQO2Q/zqILiFoJheBsFNjy3SpssWadPli7Tp8iWu6fElrumxbaK0ySDUohvuNHXyluDSpv/I1K8GkbY7bhtprvmLUeasz/aZWxZzVluIXiK4haCItOlRzC6ZjUj0qCNtemylZKRNly9xTY8v0qbHVkPalr+4XL/BKTXMO3DekO/a6ZHuSNv5l98Yp7v75is70s60SpG2AF0h0ibr2TirLQBMpwiCW1iebmkENz22UjLSpscXadNji7TpspXSiWt6jIlremw1pG3yjZPNui3r9BudqOHtK982k8ZOGvTdrDVtl5x7Wq326FCRNjuk6BKp22K+kE+JSNvLLw0zxx8z1kyYuNOs/h1ntYXgS3ALQTG9DIKbHlukTZct0qbLl5E2Xb7ENT2+xDU9thrSdtLfnKTf4JQaHvnzR4Z8N5fV8HcAACAASURBVG2krRHTIxff9T1z27cfNO4Qo4VRN2MN9bSItMllz2oTaRN546pGgOBWjV+r3AQ3PbZImy5bpE2XL9Kmy5e4pseXuKbHVkPa9FvrX0OatElu2afD9Rn/EnVSBh9pm7tgoTnr1JOGDCeKzN3/0CO12oUlFFIrbSfPG2NWPTPcPLx8q5l55I5QxTe2HIKbXtcT3PTYIm26bJE2Xb5Imy5f4poeX+KaHtsmSpsdhOrpjUjEStOmQtZxmDHU422ljW3/QxHtL4fgFpanWxrBTY8t0qbLFmnT5Yu06fIlrunxJa7psW2KtCUJ1knYpG2MtAV4xq20se1/AJhOEQS3sDyRNj2eyZLZiESPNdKmx1ZKRtp0+RLX9PgibXpse13a9MmFqSG4tDV5Tduy74+ID9mef0qfuesetv2v+ogS3KoSzM5PcNNjy0ibLlukTZcv0qbLl7imx5e4pscWadNn61NDcGmTSpu4e6Tct6xnk3Vtsp5N1rVxVSNAcKvGr1VugpseW6RNly3SpssXadPlS1zT40tc02OLtOmz9alBRdp8Ku6lNHZ6pNwTO0iG61mCWziWyZIIbnpskTZdtkibLl+kTZcvcU2PL3FNjy3Sps/WpwakzYdSThpX2uSAbTlo+7sPbDUnnMgOklXwEtyq0Gudl+CmxxZp02WLtOnyRdp0+RLX9PgS1/TYIm36bH1qCCZtsmuknMMmZ7S1uuq2E4sPpLw0rrRd8xejzB23jTTXfHWbueiS7XlZeb0FAYKb3uNBcNNji7TpskXadPkibbp8iWt6fIlremyRNn22PjUEkzafyno1jStt9//tCHPZQjYjCdHXBLcQFNPLILjpsUXadNkibbp8kTZdvsQ1Pb7ENT22SJs+W58agktb1jltTThcW4DbzUimv3+nefypLT59QJoMAgQ3vUeD4KbHFmnTZYu06fJF2nT5Etf0+BLX9NgibfpsfWpom7Q14XBtC3zGwWPNhvXDYmkTeeMqR4DgVo6bTy6Cmw+l8mk4p608u7ycSFseoWqvI23V+OXlJq7lESr/OnGtPDvfnPvttYdvUtIpEGibtH3pa7ebFU+sNI8uXaxwG50t0p0eKS2Rs9rkzLZbFr9rzvpsX2cb18W1E9z0Oo/gpsdWSkba9PgibXpspWSkTZcvcU2PL3FNj60tGWnTZ9yqhiDSlnYuW1ql1111oVkwf05n71ih9qS0xRuRRBuSiLCJuHGVI0BwK8fNJxfBzYdS+TRIW3l2eTmRtjxC1V5H2qrxy8tNXMsjVP514lp5dr45myBtsswredVlE8Ug0ubeXNaaNt8HohvTJaWNdW1hepHgFoZjWikENz22UjLSpscXadNjKyUjbbp8iWt6fIlremxtyb0sbXYASnbCX3jBmQMwZaagXNd/+WJ9wDk1BJe2jt9RBxqQlDZpwvHHjDUvvzTMPLx8q5l5JOe1lekWglsZan55CG5+nMqmQtrKksvPh7TlM6qSAmmrQi8/L3Etn1HZFMS1suT88/WytM1dsNCcdepJg4TNn0x7UiJtATinSZts+y/b/8tZbXJmG1dxAgS34sx8cxDcfEmVS4e0lePmkwtp86FUPg3SVp6dT07img+lcmmIa+W4FckVUtreeOKJIlUHS7vPRz86pKyVq18w51x6rbn31qvNrBkHBasrdEHBpc3eeFZD6zIvNCTINGn76U+Gm0+fPibePZKt/8vRJriV4+aTi+DmQ6l8GqStPLu8nEhbHqFqryNt1fjl5Sau5REq/zpxrTw735whpe27xx9v3t240bfqYOk+/fjjZvT48YPK65Yd7oNLmwwvzvnoLHPcMUeYm267b2C3yNPPW2Q+OffYWg87ln0i0qRNyrJTJL/7wFZzwolMkSzKl+BWlJh/eoKbP6syKZG2MtT88iBtfpzKpkLaypLzy0dc8+NUJhVxrQy1YnlCStsPzzuvWOWBUn9iyZIhJTV2pM1uRHLwAfuZ//1LtwxIm1isK3GB2NeimCxpu/nrI81NX2cXybKdRHArSy4/H8Etn1GVFEhbFXqt8yJtemylZKRNly9xTY9v6Li2fdMms23jBr0Gd2HJBx95cBe22q/JdtCpDhuOZLU4+Eibu3ukfG6nQ3bL0KNf1w5OlSVtshGJjLbJxUHbxckS3Ioz880ROrj51tuUdEibXk8jbXpskbbqbDf/4bXUQra+3v/9yeNHm/WbtpkdO3cOSrfl9T+0rDzvdZvZN51Nv33TRiNyUuay91Qmb1aeLH4h66Cs8gT+l1Wrymeuec6s3SMX3/U989oba3pz90iZBnnEYQfEN+d+3qTDtd3n0m5IwpltxX9akbbizHxzIG2+pMqlQ9rKcfPJhbT5UCqfpttG2tzRkL4/bjLbnZEReU2kxF7boq/7nK8l/TZnTU2WwKTJCXJR/hnrlpwjo3VPo8YNXvvULW3XaucZ//SPWkXXoty0fTmmTBo/MGuw040MPtKWvCH3kLq678pStjOyRtqkPEbbylI1Bmkrzy4vJ9KWR6ja60hbNX6tciNtemylZE1ps6JjJciVKjtC5IqUO2okMiavyVVnYdrjffuldtCYffu/P3rkcLOtb4dJDLSZsfu+r2XH5r1uM/ums+lHRlIycty4Ug+VvadSmTMyZfHzqYO45kOpWpqQa9qqtaSZudWlrQlYW0mb3L9d2yY7ST78yFYzYeLgaRFNYFTmHpG2MtT88hDc/DiVTYW0lSWXnw9py2dUJUUraRNZsqNZVriSsmW/tpK1TabfKe4QlxwNcUVCZESkxF6jopGTEXvuFpQR0WujEsKSJj1pclJWLohrVZ7O1nmJa3psbclImz7jVjUElzZ3TVtnb619tedJm7TE7iQ5/5Q+c9c977avcV1cE8FNr/MIbnpspWSkTY8v0haGrStgIlp26mDfm69Hn280W9aLbPWPboUa2bKiYyXIlSorS65IuQI1cvyEAeEaFX1ednQoDL3ypRDXyrPLy0lcyyNU/XWkrTrDKiUgbVXo7crrI20yTfIzC8bE0yVlfdtXogO3GXFrDZ/gFuDhzCiC4KbHFmnTZYu0ZfOV0a8t0YYXIlsiYvLPTjeUz+PvvyEfy52NJNIlI1UiUFa47OiVlS0rWlayulmwNJ5k4poG1f4yiWt6bG3JSJs+41Y1BJe2Xj6PLQukj7RJ3lXPyIHbo82G9cPMzCN3mFu+uS3+yJVOgOCm92QQ3PTYIm26bJsqba6QbXz+uXhDDStmZWRMphWO3ed9AwJmhWzPyRPNeyI52zZ6j/g1kbSyUwF1n4TuLJ24ptdvxDU9tkibPlufGoJLm+y84p7P5tOIbk/jK21yn+6Im3wto25nnbOdw7dTHgKCm95PBsFNjy3Spsu2V6VNpGzTc7+Jt1/fHI2KvRuNiG187reFRseyRExGv+SfSNjYaEOMVlMLNTci0X0yuqN04ppePxHX9NgibfpsfWoILm3ubpFpDbDntvk0rlvSFJE2uScZabv5r0aaO24bOXCLskmJrHc7fvaOePRNvm76RXDTewIIbnpskTZdtt0sbVbM7AjZpucjKRNZe/7Z3CmLrpBZCSsiY769grT5kiqXjrhWjptPLuKaD6VqaZgeWY1f1dzBpa1qg7oxf1Fps/coo27fuXeEueNbI2ORcy9Z7zZ9+k4zc9ZOMzH6fNr+/R9F5vaPvi9Xr4sdwU3vp4HgpscWadNlW3dps9MYt0Q7LYqUyT/5PG8tmZWysdHURJmOODqauriHjJBFn+eNjoUkjrSFpDm0LOKaHl/imh5bWzLSps+4VQ3BpS1r90g5Ufz+hx6pzQF1IbGXlTa3DT/9yXAj/2Td22PRx6TEZbVX5G7iRGMmTOgXugnR5yJ38nU0E6b/8+h78WvR9+K0XXLkAMEt5FM6uCyCmx5bpE2XbV2kzZ3OuP5fnhqYyiiSlnWJmI075IPx9MRxhxwW/4s/P/Tw2uyGiLTpPr/ENT2+xDU9tkibPlufGtombUuXrTCLbrjTMD3Sp1v6p1C+/PIws2rlMLM++vzVV/o/yujcK9H35ZLPy16tZM8dyevkqB7BrWzv5ucjuOUzqpKCLf+r0GudtxPSZkfL3JGzVnImMiYjZHUVs1aEkTa9Z1dKJq7p8SWu6bFF2vTZ+tTQNmn70tduNyueWFm7kTYrk0lYrlzKjpjPv/hqnOSQA6eZB5ZcNyh5iJE2n85KSyNyt359JHkb+oVuQ/S5yF20s3P8Pflcvhe/Fn/dL4RlrjzRCz2iR3Ar00t+eQhufpzKpkLaypLLz6ctbbGYPfes+ePvnotHz1qtN0vKmRW1/LuobwqkTbdviGt6fIlremyRNn22PjUEkbYs8Uk24LqrLjQL5s/xaVfb0kjbb7rtvkyZPP/yG81bazcMiJoI3F5TJpi7b75yoI2dlLayoOwonYzaWbGzsvfyy8PjYquO6qVJ3vTpOwambdr1eVlTNgluZXs3Px/BLZ9RlRRIWxV6rfOGlDYraOuefioWtazRM7uubNJRx8SjZ70gZ1mUkTa9Z1dKJq7p8SWu6bFF2vTZ+tQQRNrcirLWtPk0phNp8qRt7oKF5opLzh6QzbT03ShtZVhnjerZqZtVR/Tsuju7Nu/ww4abkaP7Isnr301Tpmp205q8MozblYfgpksaadPjW1ba7MYgdv3Zul/+IrWRVsomHnWsGX/IobVab6ZHdXfJSJsuZaRNjy9xTY8t0qbP1qeG4NLmU2md0qSNEtqpkXLm3DmXXmvuvfVqM2vGQXGz077XFGkr2m9pkicje3baph3JKzpl047gicSJzLm7a8pum3ZTlqLtbVJ6gptubyNtenx9pU2kTA6hXv/0kwM7OCZb1XRBS+slpE3v2ZWSkTY9vsQ1PbZImz5bnxoaL21JSO50SF9p2/jONh/WpMkh8NLvh5l10Zo7+Sgi9/prw83zL+w069f1f8++5gvy/QfsNJOi3TLlo4zQycf3v7//4wHRx4mT+r/fxGvEiGFm9MgRZvPW7U28ffV73mPMCLNt+06zvW+Hel1Nq2DYsGFmz7EjzKbNu5/dbZs2mvXP/sa88eMfmQ3PPmvWPPnzIVhGRdvpTjzsg2bKsceavY451kz84OFm1LjxTcOXe7+jR/VPj393G89uLqwSCfbcY6R5Z0uf2bmTs1hL4GuZhbgWmujQ8sa/Z5R+JdSQSUBF2mRK4dp1G1MrrfvukVbUpJ1IW2d/crKCmwjd+nXDzK9+1S93L73Uv/nKS78vLncibQeIzMX/IqGTKZiTjJn1od3C11kKOrUT3HS42lKRNj2+Im2jtr1jXlrxuHnrl0+at37xc7P+t88OqVAEbUL0b69jPxx/lK+58gkgbfmMqqRA2qrQa52XuKbH1paMtOkzblVDcGlL26ijs7dYrPbk0QRpa9qSRxcwPbIYY9/UVaeR2B0z5aP8Sx6b4HtkgkzBnHnkjv7z7qKNVOy0TPvR937qlI5pJLq9wfTIsHzlTDSZ7ijr0d6OPm6KdnVMXpOO/rAZf+hhZq8TP9a4dWghaTM9MiTNoWVVjWu6revu0olr+v3H4dr6jNsqbd22EYlI2aNLFw8wSkpnr+4e2dnHzq/2dgQ3K3bJ8/Dka3uMQl5rXak7YuaOeI2drK2bHo3a1fUgc4JbXq9Wex1pq8ZPcoukvfWTH8fb7qdtGiKSJrs5xv+iz7nCEEDawnDMKqUdcU33DupbOnFNv2+QNn3GSFsLAu4ZbJLsuGNmDNrOX75X53PaOvv46NZeh+BmN1NZ9czw+Lw72UhFjkTwlTqRNpE3kTiROZE6GbGTkTuRvU5dBDdd8khbcb6y3f7bMt1xxY9aStrko481H/zTE83ra7cUr4QcuQSQtlxElRLUIa5VuoEaZyau6XcO0qbPuK3SJoLzybnHmoUXnNnZO2tj7UyP1IHdDcEtKXW/XjU8Xl8nUvey7JTZ4iBzuwumFbh2Ch3BTeeZtaUibfl87ZTHNSJp0Q6PsiW/e8nOjpOP+fCQ6Y6+u0fmt4AUaQSQNt3nohvimi4BvdKJa3psbclImz7jtkpb3rlnnb1dndqRNh2uvRDcRNpE3kTiiozSuSN0dh1dyCmXBDedZxZpa8211WiaHFg9KTobbeqcjw8cYJ1WGtKm++wibbp8eyGu6RIqXzpxrTw735xImy8pnXTBNyKRNW2trrrvHlkGM9JWhlp+nl4Pbq7QyeicjNL5jNDZNXTycdr+O82Rs3ZvjpJPtT8Fwc2XVLl0jLTt5rbm0eUmazRN1qLtFUmaTHmUkTWfC2nzoVQ+DdJWnp1Pzl6Paz4MtNIQ17TI7i4XadNn3KqG4NLW2dvpTO0a0rZh63qzfus688rGaB/7Atf+46N961OuiWMmmQljuutQsiYHN1fofKdcuqNzMtXSlbvkI0FwK/BDVSJpk6VNpjnKdEcRNRE293JH00TYRo4bV5gu0lYYWaEMSFshXIUTNzmuFYZVMANxrSCwEsmRthLQAmZB2gLArCJtImePvfpj8/hrj5pn3vxVLGkvbygmalVuYfqEoZI3YfTESPCiw8qca2IkfKnfi9K61/7jo1OrE1eyjqRYZgklwS29Z2XHS9kYRT76jM6JzM08sn9Ezo7MHX20MdP2HWXe2rC1yuND3gwCTZO2VtMey4ymtXqwkDbdHzukTZcvcU2PL9Kmx9aWjLTpM25Vg4q0ubstXnfVhWbB/DlGpk2m7czY2dsPU3sZaRMxu/nnXzP3r/52aiNkVExkJmvkLKvlWSNzMmongtgNl733EcOHmb4d/TssuhySAhl/7cjj+Ohz+Z69RDbt1/K5mzZNWruBUVobXZmTM+meWRlNt3wmezOUAyJfnzGzLx6Rk5G5E07s7I6W3co9rd1NkDa7Jf+b0WhachORqXPnxWvTZI2ajK6FvJC2kDSHloW06fJF2vT4Im16bJE2fbY+NQSXNvecM/dg6sV3fc/c/9Ajg85E82lgN6QpIm0iTn+54ouDZO2EaR8zs6fNNSdE/0QqZk79UNtuO21Ub8O76yPBWzeoDeujdqd9b2OU1r1e3vjSkLYn60iKZV2E0sqivQFXFF25cyXRFURXDgdLZmenpqaNzL0SHVuwPsXhk1MsZXRORunqet5c235QClbUq9Imovb6sv9vyG6P7rRHETbNC2nTpGsM0qbLF2nT44u06bFF2vTZ+tQQXNpkRO3eW682s2YcZFxpk10lF91wp2nyRiQiL59ZOn9g+uNZM841l3/ky6aXRnt8Hrq8NHY939SJY8zbG9+NR9tc0UsKpHztyqNIp3zPXiKb9mv5XF63Vzunokqdbl9bsXNHDl0hdKea2ny781QTQQlub/3bKLPip9vNr6PROJluaadcpvWPjMbJSJxdKzc7+hyRy36Se0na8kRt3/n/vq2HWyNteb9Bq72OtFXjl5cbacsjVP51pK08O9+cTI/0JaWTLri0iaj99fWXDZG2po+0ucImb8C/s2AZspbzTLc7uFlZtM1yRdGVO1cSXUF05XCwZOpOTbVCZ9cipkmgOyIo6UeNHG4Of+/BsRS7Imk3QHlsxfDc9XJ2o5PjZ/dPq0Tkdj/Q3S5tWTs+yoja3tFI2j7z/2fv3R5Dhy6kLTTRweUhbbp82x3XdO+mXqUjbfr9gbTpM25VQ3Bp+9LXbjcrnlgZT4O0I20HH7CfOefSa81pJ88213/54s7esULtPtMjT773eLNqza/iqY/fPeMfum4nRwVsuUX2YnBz5c+KnTty6AqhO9XU5tudJ7wI2umhSfkTCVz/xmSz6ueTzcvPTeo/MHzdgcZsiTarcf/JSGIkb3JYuIhck6dWdqO02RG1NSuWm+0bNw78fMpW/Pt86tRC2/Ln/nBXSIC0VYDnkRVp84BUIUkvxrUKOIJmRdqC4kwtDGnTZ9xWaZPK7FRIt+JLzj3NLLzgzM7erVLtedJ28xPXmZuifzKi8fDZjyNsnv1AcPMDZYXOrkV0JfCVXWsM3RFBSS/TSeXfjp07w+1WmpQ4ETsRufdONCccO8EcMW26mRjtZCk/B3ZDmG48isKnV7pF2rKmPlpR2zvaTCT0RiI+/FqlQdqqEmydH2nT5Utc0+OLtOmxtSUjbfqM2y5tnb2l9tfeStrkDfLJ9x0f79z43TOWRZuNfKz9DezSGglueh2XFtyy5M+O/iXFz64PDLGRjLtmz07vtOv77No+V/bqvg60ztLWjaLm/iQgbXq/F6RkpE2XL3FNjy/SpscWadNn61ND8OmR519+o/nZU6uHbDjS1C3/L/vhf4h3ipRNR275xLd8+oQ0uwgQ3PQeBY3gZtcE2hG/3VM6+3cUlemeq1ZGm568En09Ntqd1P1X4laT0zlF5NJEz27e0k7Rq5u0yTlqr3znb1N3fZQ1atP+7JzajahlPRJIW4kflgJZkLYCsEokJa6VgOaZRSOueVbdmGSMtHW2q4NLm6xjO+vUk4ZMhWziRiTypvX4e2bE0yF/9rnfMC2y4LNOcCsIrEDyTgY3WRMn58fJOXKPPzbcPPaT4WbDsF0Hyk96cajQTfp9vHOliV6za/rK7vrpnn9oR/SmRwfC241aQo3m1UHa5Oy0V//uXpM8R60Om4kUeFSHJEXaqtDLz4u05TOqkoK4VoVe67ydjGt6d1WvkpG2zvZHcGmTETV7oLZ7a03c8t+uZbvoqC+Ya+Z8vbM93YW1E9z0Oq1uwU3OkvtpJG+/XhVJXLRzpRw/kLzcYwdmz4l2rDz07egoh/4jHGSqpoicncppN3GR71URPVfy7EidSJ47ZVNG8pJr8zolbSJq655+Mh5Vk9E1e9lz1Nq9Pb/GE4y0aVDdXSbSpsuXuKbHt25xTe9OO1cy0tY59lJzcGljpK2/Q2Wq2HH3HM5atgrPN8GtArycrHUPbqmjcbJrpXPJOXFy8Pe/+1Sf906VdgqniJw7fdOu16sqefFI3eiJ5qApHzDjRk2M/k0w08a9v3/a5phJ/ZuwRK+HnKppRS0+9Do6/NpeI8ePN1PnzDO9IGpuvyNter8XpGSkTZcvcU2Pb93jmt6dt69kpK19rNNqCi5tMg3ytm8/OHDAtlS6cvUL8Zb/vbqDZNpGJD999cfm038/P954RDYg4SpOgOBWnJlvjm4MbjIat+z7I+LROBmVk6/TJE6OGhCRE6GregB4luQlR/LKbMbibr6SXI/nI3hyltrry/6HkY/utW+0Pf/UaNfHqdFatV68kDbdXkXadPkS1/T4dmNc06OhUzLSpsPVt9Tg0iYVp235nzZl0reRdU+XJm12AxKZFinTI7mKEyC4FWfmm6MXgpuMxi37fusplbIWLqTE5fGVkToZtVu37VXzb5vWmn99+8X4a5m2WWUUz07T/J+2zDCnvnaA2bH6d0ZG2Oz1yvRR5vDT/zdz1Cl/bkaOG5fXzK5+HWnT7T6kTZcvcU2Pby/ENT06YUpG2sJwLFuKirSVbUy35kuTthl3vC+eGvn451YHnQrVrYzKtJvgVoaaX55eDG4icbKpiWxuIpucyGhc8mqXxPmsaXMPTLfr8V7d9FIseHaNngjf5kjO/mzV3mbGm3uavf84auCWfj9pi1l22Frz673/aNbsuW3g+2XX4fk9OZ1PhbTp9gHSpsuXuKbHtxfjmh6tciUjbeW4hcqFtAUgmZQ2OzVy5tQPmYfPeTxADc0sguCm1+9NCG52Xdw//GBE2yXOR9pa9W6rDUVki/5fHb2n+ddRa+JjFFzBK7OrprvOTqZluscmuNM063IQOtKm93tBSkbadPkS1/T4NiGu6dHzKxlp8+OklUpF2mQzkrXrNqa2edXyJVr30rFyk9J2zYovmjue/mY8LZJdI8t3C8GtPLu8nE0Mbr4SN/vEvviIgSpr4spI2/ZNm6L1aY9E69QGbyhSdOdHzXV47tl49niEpOTJ15pn4yFteT/d1V5H2qrxy8tNXMsjVP71Jsa18rTK5UTaynELlSu4tJ1+3iKz15QJ5u6brwzVxtqXk5Q22YBERttkAxLZiISrHAGCWzluPrkIbtEOr7vOi8saiUvuThmfFed5FZE22UhkzYofmdd/8NCg0tu1oYhdhxd/jI5OkOmZadM0y2y2IjeUdjZelUPQkTbPh7BkMqStJDjPbMQ1T1AlkhHXSkArmAVpKwgscPLg0pZ1TlvgdteqOFfa5K/csp5NrtUX/YEDtSv0FMGtArycrAS3oYBciUs7K04kbnYkbsfP3mHmn9Jn5Ny4rCtP2mRr/nhELTpTzd1QZNLRH+7fov+oY42MsNXtsqN4stbOlbyN8vWuqZoifXKkQlnJs/fs7q5pj0yQjzJNc7+JU8ywvj3jYxTckb26TOGsW78VaQ/SVoRW8bTEteLMfHMQ13xJlU+HtJVnFyIn0haAoittrGcLAHRXEQS3cCyTJRHc8tm6u1PKUQNpRwzMP2WHOWF2XyRxOwYdL5AmbSJnb0Rb9P8h+ueKmsjZtE9/1uwdbdNfR1HLJ9U6hbvhit1kJfQh6MkWWOGTM/EG1uk56/UkvT0g3X1d0ssV8hy9qvzanR9p0yVOXNPjS1zTY2tLRtr0GbeqIbi0yfTIT8491iy84MzO3lkba3elTdayyZo21rNV7wCCW3WGWSUQ3IqzFWmTHSl/+tiI+KgBkTr3kpE3GYGTM+LmHD/SjNqjz6z7/cvxaFrWOrX9P/NZM+6Qw4o3pgE5smRv07YN5s2tr5jNW/sGpnPKyJ5cZTZiaYXSTu3sl7wD4qR21G/g812iZyUwKX02X7fIINKm+8NFXNPjS1zTY4u06bP1qSG4tMkZbTfddp95dOlin/p7Io0rbRd8/2yz7IWHzC2f+JY5a8a5PXF/nboJgpseeYJbdbarnhluZBqlrIlb9cywQRL3sUlLzedP/KEZ/a//PFDRyPHjo0Ov5/VPf4ymQXKVI+Czps3Km0zjtLtrYuxlXAAAIABJREFUSm12hC8WvGg6p1x2HZ8Vv/i1aH2f9uUKodTVSu7sGkDbJlcQ5Xt2tNBts1ue/b7PCCLSptvzxDU9vsQ1Pba2ZEba9Bm3qiG4tMmatlZXr+8eefw9M+KAz/ls1R9sglt1hlklENzCs/3BN39pnr3vf5jDdvyzec+I3bvn/mLjn5onN37CvGf2qV7r4cK3rLdK9JG2UHfsypuVOjvFU+pIk0BX+kQIRRzt1Q4ZLHrvSZEbtmsAefyo/qmlycsdaUx9bdfIY1o7xkevSf68y0curazaKa15Zbqvd3LtI3GtSE8VS0tcK8arTGqkrQy1cHmCS1u4pnVPSXakzW5CIn9BlU1IuKoRILhV49cqN8EtDNusDUX2/vBHzB6RpH1/1UfM//PA9CHr4exUyiNmyqYmg9fDhWlZ75bSTmnTpGg3dbF1tBrpc+UwlsJdo4Q2rx0tdNvrlme/X0dp1GSsWXZypNS3rhHDh5m+HdmbGCXLsesyfcuvWzpfAQ/R7hHDjRkZ/bd1m/9OvyHqbVIZ9511T5Nut3b3irQF6BIrbWxCEgCmUwTSFpanWxrSVp6tbCLy6t/da96MturP2lBkv8MONO9Ea662vNsXV5S3Hk6OEzhy1o54PVyV8+HK31X35OwVaasL8aTIjRs7Mm7ab978XWoTW4lfUi6TBcioo6TJu3zlMjmSmVeufb3qzqa+9ZAOAr1GYOdf+v/BodfuvQ73oyJtsq5t0Q13Drq/66660CyYP6cO9xy8DVba7CYkspZN1rRxVSOAtFXj1yo30laMrcjZm9FZam9EZ6ltev63A5ntwdfJDUXytvxvtR7OPR9u9hw55Ju/Gru9hbQVe3aLpmZNmx+x5EipXy5jpk4cY97e+K73aJtdl+lbft3S+Qp4iHbLKNvY0SPMps3bQhRHGSkE/o85F8OlgwSCS9viu75nbvv2g+beW682s2YcFN/aytUvmHMuvdZccu5pPbmrpJU22TUyFrc5X493j+SqRgBpq8YPaavGT0St1c6PrTYUyZM2t2U+58NlHS1Q7Q67MzfSpttvSJsuX+KaHl/+GKnH1pbMmjZ9xq1qCC5tcxcsNGedetIQOROZu/+hR3pyV0krbZ/++/lGpkjedcp9Zv5Bp3a2Z3ugdoKbXicS3NLZZoma3flxanSW2tS583I7poi0JQuz58P5HC3QxKmUSFvu41cpAdJWCV9uZuJaLqLSCYhrpdF5Z0TavFGpJAwubbJ7ZNpUSDtlspd3j2TnyLDPKMEtLE+3NILbbhrbN20yax59ZMhZapJCBE1Ebd9PFfsjTBVpS/a6rIeTw73TjhaQtLIebvaJffFH+dfrF9Km28NImy5f4poeX+KaHltbMtKmz7hVDcGlrakjbewcGf5BJriFZ2pLbHpws6K2JlqntibaUMS95Aw1mfo4de5JZuS4caU6IaS0JRsQH/Ad/XvsJyPij+7VhPVwSFupR9I7E9LmjapUQuJaKWxemZoe17wgVUyEtFUEWDF7cGlr6pq2VWt+ZU6+93gzc+qHzMPnPF6xW8guBAhues9BE4Obj6hNOupYI5uLVL00pc1tm0ylfCwSt8cfGx6PxsmoXFLiZD1c/9ECfUaOGuj2C2nT7UGkTZcvcU2PbxPjmh7N9JKRtnYTH1xfcGmT4pu4e+T9q79tLvvhfzDsHBnugSa4hWOZLKkpwa2douYybpe0JfvVZz1cPI1ydl/Xng+HtOn9XpCSkTZdvsQ1Pb5NiWt6BPNLRtryGWmmUJE2zQbXsWzZiMRu9y+7RsrukVzVCRDcqjPMKqGXg1vWZiLCwk59DDWilsW3U9KWbI9dDycjcTIiJ1LnXt14yDfSpvd7AWnTZSulE9f0GPdyXNOjVqxkpK0Yr9Cpg0vb+ZffaH721GqT3HBENig57pgZ5u6brwx9Dx0vT6RNRtlktE3OZ5PRNq7qBAhu1Rk2RdrqIGou67pIW7L/W50PJ2m7QeKQNr3fC0ibLlukTZcv0qbLV0pH2vQZt6ohuLQ1dSOSC75/tln2wkNs9x/weUbaAsJMFNULwU0OuX77l0+at6LNRNb98heD7rBdI2pZPVRXaUu2VzYyeWbl8MydKesocUib3u8FpE2XLdKmy7cX4pouoeqlI23VGVYpIbi0NXXLf7b7r/IYpudF2sIztSV2a3ATOXvrJz82b0Y7Psromr3kHDWZ8th/jlr5XR9DEe8WaSsjcXZNnHzsxMYmSFuopzS9HNa06fIlrunx7da4pkckfMlIW3imRUoMLm1NHWmb9s33xNxXX/QHM2HMxCJ9QNoMAgQ3vUejW4KbbCQioiZb8697+slBoia7PO4WtXl6sEqU3K3SVlTi5IgBuzvl7Dk7zMwj9c+JQ9pKPJAFsiBtBWCVSEpcKwHNM0u3xDXP26llMqSts90SXNqauOX/z/71N0ZG2qZPOMA8/rnVne3RHqqd4KbXmXUObnZ9WtoZalbU5Bw1mQJZ16tXpC3J166Jy9rYxJ4Td+SsHeb42XLo9w4j3wt5IW0haQ4tC2nT5Utc0+Nb57imd9ftLRlpay/vZG3BpU0qaNqW///47M84o03hOSa4KUDdVWTdgpud9vj2U78wslbNvUTO9oqmPU4++lgz7pDD9KAELLlXpS2JSHanjA/7fqz/oO/kOXGSXqZQylRKOSsuxGgc0hbwQU0pCmnT5Utc0+Nbt7imd6edKxlp6xx7qVlF2jp7S+2v/Rsrbo93j5x/0KnxRiRcYQgQ3MJwTCul08HNjqate/qpIdMe3fVp2lvzaxFuirQl+bmHfcsGJ6ueGTbkmAF3NE5ErujaOKRN66ntLxdp0+VLXNPj2+m4pndn9SkZaetsXyBtAfh/5Yd/Za5Z8UXDGW0BYDpFENzC8nRL60Rwk9G0fkmL/iV2e+yWaY++PdJUaUvjY6dU/npVNCKXMRonIidTKWVN3BFH9n+eNa0SafN9CsulQ9rKcfPNRVzzJVU8XSfiWvFWdncOpK2z/Ye0BeB/8QML48O1r/joInN59I8rDAGCWxiOaaW0I7i5a9NkyqO726O0yU573Dua+ijS1ksX0pbdm+5onEynTDv0W3LLtEqROPko6+Ps50ib7k8K0qbLl7imx7cdcU2v9d1RMtLW2X5C2gLwP/v+z3GwdgCOySIIbgpQdxWpEdxkp8dNz/0m3pI/bW2au9ujCNvIceP0brDDJSNtxTrAro2T0bisaZVSooy+HRmNxH3kI8PNgQe/a2bO6hc7rnAEkLZwLNNKIq7p8dWIa3qt7c6SkbbO9hvSFoD/7Ds/bn766o/Nd89YZk6Y9rEAJVKEECC46T0HoYJbqymPvbA2rWwPIG1lye3O5ytykkPETQRO1si5I3TVW9G8EpA23T4nrunxDRXX9FrY/SUjbZ3tQ6QtAP/333KgeXnD7+Pt/mXbf64wBAhuYTimlVI2uMk0x7d/+aRZH52ZJuembd+4cVDxMoI2/tDDzF4nfqzWW/Lrke0vGWnTISwit3rVCPP2myPN4z/fkblGTmqXUbnp06OROGSuUGcgbYVwFU5MXCuMzDtD2bjmXQEJDdLW2YcAaQvAf+INk8yGres5WDsAS7cIgltgoE5xvsEtT9JkC/5xh37QTI3WpfX6lMcivYG0FaFVLG1yTZuskXv55WFm1cphRqZXtlonl5S56dN3mP13iZ0IXugz5YrdWT1SI226/UBc0+PrG9f0WtD7JSNtne1jpK0i/3Vb1pnJN06OS3n1C+9ULI3sSFt7noGs4JYnaXZd2qSjjjHduh1/OwgjbXqUfTciEZmTIwdkjdyrr0RiF43SyU6WaWfJ2dbK1MoJE3aPzk2MRutkpK5JQoe06T27UjLSpscXadNja0tG2vQZt6oBaavI/8V1L5oP/N8fiKdFyvRIrnAECG7hWCZLssHtdz/6idn4/HPmrRU/ig61fnbIdEckrVwfIG3luPnk8pW2rLLSRuZE5tavN0POlHPLcKdb2hG6CRP719OJ7PXKhbTp9iRxTY8v0qbHFmnTZ+tTA9LmQ6lFmqdff9oc/a2jzcypHzIPn/N4xdLI7hIguIV9HmR3R9k4ZP2/PGX+GK1NW/vUL4ZUgKSFYY60heGYVkpVaWvVMnc0zh2dyxM6KdMdpZMRumn7RyN0kczZ73eL2CFtes+ulExc0+OLtOmxRdr02frUgLT5UGqRZulvlpoz7jvDzD/oVHPXKfdVLI3sSFu4Z0CmOm567tn4MGv5KF8nL3dNmnzea+elhaNZrCSkrRivIqk1pS1P6DZs6F8790q0hu7ll/unWsafRx99LhE3WUMnH63YyUf7/YnRyF2n19UhbT49WT4N0laeXV5OpC2PUPXXmR5ZnWGVEpC2KvSivEueXmI+/8DnzVkzzjW3fOJbFUsjO9JW7hmwZ6SJoMWSljLVUUq2uzvu+/F5Zt8PHWk27hxdrkJytSSAtOk9IJ2Strw7cgXOSt2GaMqlfF82SpFpmT6XSFssb9HauniULvrcTseU/Fbw7Oc+ZRZJg7QVoVU8LdJWnJlvDqTNl1T5dEhbeXYhciJtFSl+5UdfMdcsv8Zc8dFF5vLoH1c4AgS3dJZW0GQtmmy9v+UPr6WOosmomYyeTTzqWDP+kEMHbcFPcAv3nKaVhLTp8a2rtOXdsUibTLO0I3Pro69lCqZ8tMLnMw0zWY+VPBnBk1E7kbz4YyR98j0rd/J9+V7eaB7SlteT1V4nrlXj1yo3cU2PrS0ZadNn3KoGpK0i/8v+4TLzjce/Ya6Z83Vz0VFfqFga2V0CBLd+GrIOTQRN1qFlTXOUg6zHHfLB+Iy0iX9yTCxrraY6Etx0f9aQNj2+3SptvkSScif57MidfG4Fz37uW26W7InIDYheJHZT9xoWS9+YPXbEH+VyX5f0VgTL1t3kfMQ1vd4nrumxRdr02frUgLT5UGqRRqZGyhRJmRopUyS5whFoYnDzETQhbNeiydb7ck6afF3kIrgVoVU8LdJWnJlvjl6XNl8ONp1dTydiJ6N2MiVTPm7cEAletO7Oyp18X9bklRnNa9UmO9IXy90uAUxKnUzvtJcd/YvT7xoVtJ9bIZSv80YEi3KqS/omxrV2sSeu6ZNmpE2fcasakLaK/E/6m5PM8heXx5uQyGYkXOEI9HJw853iKDTtqFnaNMeytAluZcn55UPa/DiVSYW0laE2NI8d0RORs2vvJNXWd0aY9ZHwrXlrZyx/crliaEvy3XwlTGv7N2gRkXMvVwDl+2k7dLrCaPOOn9A/hTR5uRKZfC1Zl/t6EcHs5bgWqq/LlkNcK0vOPx/S5s9KIyXSVpGqbPcv2/7Ldv+y7T9XOAK9Etxk10a77kw2Cdny+mvx12lXUtDGHXq4GTluXDiou0oiuAVHOqhApE2PL9Kmx1ZKLrqmzcqf5LUCaEf8bEtlFNBedvQvTr9rVNB+LvntFXpEUJdafulWOkcMH2b6dmSf6+eOVuaX2p+iynESdv2jb11F07WS3aJl5aUfOWK4GTt6hNm0eVte0vh1kXR5Bq2sy3ObJvNehTUk0Z+dNqYhd1rP20TaKvaLHKwtB2zLwdpywDZXOALdJm1FRs/cNWh7HnyoGbvv+wZtFBKOYnpJSJsuYaRNjy/SpsdWSi4qbbqt2V26K4f2u64MyvfSRv+SaSRd/zTRobt5uhKZvK+0cmyaXhPMdvUp9XQfgZ3Zf2/ovpvpwhYjbRU7bfKNk826LevM6ov+YCaMSczdqFh207PXVdpcOXv3jT+Yjc9FG4RkbLEvfWhHz+J1aLs2CCm6Bi30s4C0hSY6uDykTY8v0qbHts7SpnvX+qVb6Zw6cYx5e+O7maNtdrSySIuqTFW16x+L1FckrTuyWiRfmbTRQJuR0bat23avoWxVjh1ls7Iuo2xpMl+mLb2a57EV/etkuTpDAGmryH3YV/r/WvfqF96pWBLZkwQ6LW0yrXF7tJpfdm70kTN39Gz0Pu+Lt9nXmt5Y9WlB2qoSbJ0fadPji7TpsUXadNlK6Z2Oa/p32LkaiGv67FnTps+4VQ1IW0X+Im0yLVKmR3KFJdCO4GZHzeKPsqW+s/4s6266Sc6y7oHgFvZZTZaGtOnxRdr02CJtumyRNl2+xDVdvlI60qbPGGlTZIy06cENKW1Wxja//gevUTO5q16QM6RN7/lsVTLSpscdadNji7TpskXadPkibbp8kTZ9vnk1MNKWRyjndZG2E6Z9zHz3jGUVSyJ7kkARaZORMrsroytmW6OdGjdn7NRo60uuOZPdGus6rTHUU0JwC0UyvRykTY8v0qbHFmnTZYu06fIlrunyRdr0+ebVgLTlEfKQNjlUWw7X5gpLICltIl8iYVui0TL5F685i6c1PhutPdvYsnIRs5HR4TzjDz3M2PVmY/bdz+zxvv3CNrpLSiO46XYU0qbHF2nTY4u06bJF2nT5Etd0+SJt+nzzakDa8gghbRUJ+We3UmbXlw1b+29m3cuvmG0bNsSClnfZETMRMStmImqd3qkxr92deJ3gpksdadPji7TpsUXadNkibbp8iWu6fJE2fb55NSBteYQ8pO2io75grpnz9Yol9XZ2O31RdmO0I2X2o88URqEjMiajY/H0xV3b5zdhKqPGk0Fw06C6u0ykTY8v0qbHFmnTZYu06fIlrunyRdr0+ebVgLTlEfKQtis+ushcHv1r8mW3x7ci1vfHTfH5ZbGkRWeZ5U1fFHZ24w8rZZPeO9kMn3aQGT5uPKNlgR8ugltgoInikDY9vkibHlukTZct0qbLl7imyxdp0+ebVwPSlkfIQ9pkPZusa+vFy26JL/eWHCErImSS364rG7vv+4z7L2sKY5GNSHqRveY9Edw06RqDtOnxRdr02CJtumyRNl2+xDVdvkibPt+8GpC2PEI9Km12/ZgrYzI6Jt8XUfOdsmjxJKcujohGx/aI5KzK9EWkreLD2SI7wU2PrZSMtOnxRdr02CJtumyRNl2+xDVdvkibPt+8GpC2PELR66eft8g8/+KrccpDDpxmHlhy3UAu2fJftvuXbf87fSXXjW2L5Ktv08aBEbKiI2NyPzJlcew+kXxFG3qkjZCN3bXGTOPekTYNqv1lEtz02CJtumyRNl2+4/cYGVewcfN23YoaWjpxTa/jiWt6bG3JHK6tz7hVDUhbDv/zL7/RvLV2w4CoicDtNWWCufvmK+OcmtImErYtWhMmo17y+fZdAuaOiJURMWm3jIyN2HPcIBlzR8fqsB0+wU3vlwPBTY8t0qbLFmnT5Yu06fIlrunxJa7psUXa9Nn61IC05VCau2ChueKSs82C+XPilEuXrTA33XafeXTp4gFpe/xzq830CQfk8k5OSbQjYUkJs1/nFphI4I6KybREK2Z2hExGy0TUuuVsMoJb0SfAPz3BzZ9VmZRMjyxDzS8P0ubHqWwqpK0sOb98xDU/TmVSEdfKUCuWh5G2YrxCp0baWhBdufoFc86l15p7b73azJpxUJwy+b09F40wD877e7P3H0eZzdGBz+50RElfdG2Y2xyRsFHR2jAZ9ZLLypeMiI2KpEy+7jYRK/IAE9yK0CqWluBWjFfR1EhbUWL+6ZE2f1ZlUiJtZaj55yGu+bMqmpK4VpRY8fRIW3FmIXMgbRWl7b/PnOndH+OmTTOjIhEbPWFC/NF+HX++335DXvMumIQQgAAEIAABCEAAAhCAQM8SQNoqStvffvRYM2n6gbGITT788Fi89owETP7JtWckaiJnXBCAAAQgAAEIQAACEIAABMoQQNpyqKWtaVt0w51m1fIlAzlfe2tzGfbkySHANBK9R4RpJHpspWSmR+rxZXqkHlspmemRunyJa3p8iWt6bG3JTI/UZ9yqBqQth3/e7pGSHWnTeYgJbjpcpVSCmx5bpE2XLdKmyxdp0+VLXNPjS1zTY4u06bP1qQFp86DU6pw2pM0DYMkkBLeS4DyyEdw8IFVIwkhbBXg5WZE2PbZSMtKmy5e4pseXuKbHFmnTZ+tTA9LmQyknDSNtASCmFEFw0+EqpRLc9NhKyUibHl+kTY8t0qbLVkonrukxJq7psUXa9Nn61IC0+VBC2gJQKl4Ewa04M98cBDdfUuXSIW3luPnkQtp8KJVPw0hbeXY+OYlrPpTKpSGuleNWJBdr2orQCp8WaQvAlJG2ABBTiiC46XCVUgluemylZKRNjy/SpsdWSkbadPkS1/T4Etf02NqSkTZ9xq1qQNoC8EfaAkBE2nQgZpRKcNPFjbTp8UXa9NgibbpspXSkTY8xcU2PLdKmz9anBqTNh1JOGqQtAESkTQci0tZWrrYypE0PO9KmxxZp02WLtOnyRdp0+UrpjLTpM25VA9LWWf7UDgEIQAACEIAABCAAAQhAoCUBpI0HBAIQgAAEIAABCEAAAhCAQI0JIG017hyaBgEIQAACEIAABCAAAQhAAGnjGYAABCAAAQhAAAIQgAAEIFBjAkhbyc45/bxF5vkXX41zH3LgNPPAkutKlkS2LAIrV79gzrn0WnPvrVebWTMOAlQAAudffqP52VOrB5W0avmSACVThBD40tduNw8+/Bh8lR8Hy5nfDeFAL122wiy64c4hBfL7IRxjKWnmvPMGCrzk3NPMwgvODFtBw0qz7xPSbptnN9zDMHfBQrN23caBAmEbjm2RkpC2IrR2pZU3vm+t3TAgaiJwe02ZYO6++coSpZEljYD7C4I3ZuGeEeH66NLFAwXKm98VT6wc9L1wtTWvJPld8NUrLxj4I8Piu75n7n/oEfgGfBRELv7bvT+I/2jG74ZwYIXrTbfdx7MaDumgkqxcXHfVhWbB/DlKtVCsEJDfu79c9RzvyQI9DhLXjjjsAHP9ly+OS0y+Bw5UDcV4EEDaPCAlk8gb3ysuOXvgFy/BrgREjyyMtHlAqpgExhUB5mSHb3i+MlIhssYofFi2xLGwPJOlyRvfT849lpE1Xcxx6fIe7a+vv4wZOoFY8543EMgAxSBtBSGmvQnjjVlBiJ7J4eoJqkIyRoIqwPPIKn+RfO6FVxi98GDlk0Te+H7+nE+Zgw/YD2nzAVYgTdr0SKZAFQCYk1T+2DBl0vhBU8wYKQ7H15bEKFt4pnY6uv19wB8gwjP2LRFp8yW1Kx3SVhBYheRIWwV4HlmZruMBqWQSd3ovb3xLQkxkkzcOb6x5O57yxO+GMExblcIUqHCM037XJt8Ih6ut2SUxyha+/9PWDRLXwnP2KRFp86HkpEHaCgKrkJw3ZhXg5WS1bFkIr8dYSpa/+t727QcNAa4a5+TUPX43VOPpk9sy5tn1odU6TdbzKqNvrHGrzteW4P5hJ1yplGSnpNsN4YhrnXsmkLYS7NPm98quWwS3EjBbZOGNWVietjQ7DYqpOTp8k6UmA157au2tWrJ2NpS75A8POn1tmRPXwvBNEzSkLQxbWwq/a8PylNLS/njDe7PwnH1LRNp8STnp2D2yBLQSWfjFUAJaThY2GwjP1C2R3Tl1+drS+d0QnnPy2WVX5LCMk+tb2bk3LF9G2cLydEsTGT7umBkDu3Hy7OqxzisZacsjlPE657SVBOeZLXkmiCzgdreq9yyGZA6BVufZMEUnzKPi/l6wJTJSEYatWwrSFp5p8tl136SFr62ZJbqMiWnhngFmj4RjmVWSe74gz64+76wakLbOsadmCEAAAhCAAAQgAAEIQAACuQSQtlxEJIAABCAAAQhAAAIQgAAEINA5Akhb59hTMwQgAAEIQAACEIAABCAAgVwCSFsuIhJAAAIQgAAEIAABCEAAAhDoHAGkrXPsqRkCEIAABCAAAQhAAAIQgEAuAaQtFxEJIAABCEAAAhCAAAQgAAEIdI4A0tY59tQMAQhAAAIQgAAEIAABCEAglwDSlouIBBCAAAQgAAEIQAACEIAABDpHAGnrHHtqhgAEIAABCEAAAhCAAAQgkEsAactFRAIIQAACEIAABCAAAQhAAAKdI4C0dY49NUMAAhCAAAQgAAEIQAACEMglgLTlIiIBBCAAAQhAAAIQgAAEIACBzhFA2jrHnpohAAEIQAACEIAABCAAAQjkEkDachGRAAIQgAAEIAABCEAAAhCAQOcIIG2dY0/NEIAABCAAAQhAAAIQgAAEcgkgbbmISAABCEAAAhCAAAQgAAEIQKBzBJC2zrGnZghAAAIQgAAEIAABCEAAArkEkLZcRCSAAAQgAAEIQAACEIAABCDQOQJIW+fYUzMEIAABCEAAAhCAAAQgAIFcAkhbLiISQAACEOhNAovv+p657dsPDrm5S849zSy84Ewzd8HC+LVHly4ekkZemzJpgnlgyXXxa3llzZx3XkuIUyaNj+s5//Ibzc+eWp2a9rqrLjQL5s8xp5+3yDz/4qvGfm0TL122wiy64U5zyIHTBtqVLMinHXM+Oss8+PBjA1lPO3m2uf7LFxeq1+c+evOp4q4gAAEIQECDANKmQZUyIQABCNScgJWKe2+92syacdBAa0W+/unRJwekRyTnuGNmmLtvvnIgzZe+drtZ8cTKAZnzLSspV0npktelrLfWbsiULkljpS3ZLvv9VtLmdouVvLR2pL1WpF6f+6j5I0LzIAABCECgRgSQthp1Bk2BAAQg0C4CImN2BKlVnUl5Wbn6BXPOpdcOGuXyLSuktO01ZUI8Imel07ZLRC5P+nzakSVtvvUibe16kqkHAhCAQDMIIG3N6GfuEgIQgMAgAjK98dCD9h80gpaFSATkuRdeiUfWZLRJxMUdeStSltTRaoTLR3akDUccdoB5Y83bZp+pk+OpizL6J5d8T1PafOv1uQ8eSQhAAAIQgIAvAaTNlxTpIAABCPQQAStO9pbsmrKsW3TXgq1avmRQsqJl5Umbz5o2kafjjjkiXsMm7ZH2yajbLXd8R13afOplTVsP/bBwKxCAAARqQABpq0En0AQIQAACnSRgpxbaNqRNm7SiZTcpyWo12HgaAAAElElEQVRvkbKqrGkTabObg0hb7OhfkRGuMmvafOst0o5O9j11QwACEIBAdxBA2rqjn2glBCAAgbYQkGmGsnNicjQtbS1bXoOyysobacub3minR4q02V0rrQAWkaUq0pZXb5F25HHkdQhAAAIQgADSxjMAAQhAoGEERMD++9//UzxSlbysjCR3lcyStjJlhZQ2ab+sqbPHEhSRpSrSlldvkXY07PHjdiEAAQhAoAQBpK0ENLJAAAIQ6GYC7hRGd0TN3YHR3WhE7rWVtMluknL5lhVa2ty+KCJLVaWtVb1F2tHNzxJthwAEIACB9hBA2trDmVogAAEI1I5A2kHTWWvW8qZHFikrT9p8NyJJGyksIktZ7bDTOm2HuYdr2zVtyc5M1stGJLV73GkQBCAAga4mgLR1dffReAhAAAIQgAAEIAABCECg1wkgbb3ew9wfBCAAAQhAAAIQgAAEINDVBJC2ru4+Gg8BCEAAAhCAAAQgAAEI9DoBpK3Xe5j7gwAEIAABCEAAAhCAAAS6mgDS1tXdR+MhAAEIQAACEIAABCAAgV4ngLT1eg9zfxCAAAQgAAEIQAACEIBAVxNA2rq6+2g8BCAAAQhAAAIQgAAEINDrBJC2Xu9h7g8CEIAABCAAAQhAAAIQ6GoCSFtXdx+NhwAEIAABCEAAAhCAAAR6nQDS1us9zP1BAAIQgAAEIAABCEAAAl1NAGnr6u6j8RCAAAQgAAEIQAACEIBArxNA2nq9h7k/CEAAAhCAAAQgAAEIQKCrCSBtXd19NB4CEIAABCAAAQhAAAIQ6HUCSFuv9zD3BwEIQAACEIAABCAAAQh0NQGkrau7j8ZDAAIQgAAEIAABCEAAAr1OAGnr9R7m/iAAAQhAAAIQgAAEIACBriaAtHV199F4CEAAAhCAAAQgAAEIQKDXCSBtvd7D3B8EIAABCEAAAhCAAAQg0NUEkLau7j4aDwEIQAACEIAABCAAAQj0OgGkrdd7mPuDAAQgAAEIQAACEIAABLqaANLW1d1H4yEAAQhAAAIQgAAEIACBXieAtPV6D3N/EIAABCAAAQhAAAIQgEBXE0Daurr7aDwEIAABCEAAAhCAAAQg0OsEkLZe72HuDwIQgAAEIAABCEAAAhDoagJIW1d3H42HAAQgAAEIQAACEIAABHqdANLW6z3M/UEAAhCAAAQgAAEIQAACXU0Aaevq7qPxEIAABCAAAQhAAAIQgECvE0Daer2HuT8IQAACEIAABCAAAQhAoKsJIG1d3X00HgIQgAAEIAABCEAAAhDodQJIW6/3MPcHAQhAAAIQgAAEIAABCHQ1AaStq7uPxkMAAhCAAAQgAAEIQAACvU4Aaev1Hub+IAABCEAAAhCAAAQgAIGuJoC0dXX30XgIQAACEIAABCAAAQhAoNcJIG293sPcHwQgAAEIQAACEIAABCDQ1QSQtq7uPhoPAQhAAAIQgAAEIAABCPQ6AaSt13uY+4MABCAAAQhAAAIQgAAEupoA0tbV3UfjIQABCEAAAhCAAAQgAIFeJ4C09XoPc38QgAAEIAABCEAAAhCAQFcT+P8BahRetlw7ydAAAAAASUVORK5CYII=", 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