{ "cells": [ { "cell_type": "markdown", "id": "3bbe8002-bdf3-490c-bde0-80dd3713a3d0", "metadata": {}, "source": [ "## 2 COUPLED reactions of different speeds, forming a \"cascade\": \n", "### `A <-> B` (fast) and `B <-> C` (slow)\n", "All 1st order. Taken to equilibrium. Both reactions are mostly forward.\n", "The concentration of the intermediate product B manifests 1 oscillation (transient \"overshoot\")\n", "\n", "(Adaptive variable time resolution is used, with extensive diagnostics.)\n", "\n", "LAST REVISED: July 14, 2023" ] }, { "cell_type": "markdown", "id": "c8763f25-9fab-4b36-89cc-388321a16be0", "metadata": {}, "source": [ "## Bathtub analogy:\n", "A is initially full, while B and C are empty. \n", "Tubs are progressively lower (reactions are mostly forward.) \n", "A BIG pipe connects A and B: fast kinetics. A small pipe connects B and C: slow kinetics. \n", "\n", "INTUITION: B, unable to quickly drain into C while at the same time being blasted by a hefty inflow from A, \n", "will experience a transient surge, in excess of its final equilibrium level.\n", "\n", "* [Compare with the final reaction plot (the red line is B)](#cascade_1_plot)" ] }, { "cell_type": "markdown", "id": "b11f68d6-d3bc-4908-93c0-eaee580acbc1", "metadata": {}, "source": [ "![2 Coupled Reactions](../../docs/2_coupled_reactions.png)" ] }, { "cell_type": "code", "execution_count": 1, "id": "4d9b4808-b2ec-4b90-a604-f7fa69af39b8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Added 'D:\\Docs\\- MY CODE\\BioSimulations\\life123-Win7' to sys.path\n" ] } ], "source": [ "import set_path # Importing this module will add the project's home directory to sys.path" ] }, { "cell_type": "code", "execution_count": 2, "id": "3924c013", "metadata": { "tags": [] }, "outputs": [], "source": [ "from experiments.get_notebook_info import get_notebook_basename\n", "\n", "from src.modules.chemicals.chem_data import ChemData\n", "from src.modules.reactions.reaction_dynamics import ReactionDynamics\n", "\n", "import plotly.express as px\n", "from src.modules.visualization.graphic_log import GraphicLog" ] }, { "cell_type": "code", "execution_count": 3, "id": "83c3cc5f-de21-4f66-9988-2806fbf0666d", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-> Output will be LOGGED into the file 'cascade_1.log.htm'\n" ] } ], "source": [ "# Initialize the HTML logging (for the graphics)\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": "9329208b-070f-4902-8f37-0f11ddf75ed6", "metadata": {}, "source": [ "# Initialize the System\n", "Specify the chemicals and the reactions" ] }, { "cell_type": "code", "execution_count": 4, "id": "72b4245c-de4e-480d-a501-3495b7ed8bc4", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 2\n" ] } ], "source": [ "# Specify the chemicals\n", "chem_data = ChemData(names=[\"A\", \"B\", \"C\"])\n", "\n", "# Reaction A <-> B (fast)\n", "chem_data.add_reaction(reactants=[\"A\"], products=[\"B\"],\n", " forward_rate=64., reverse_rate=8.) \n", "\n", "# Reaction B <-> C (slow)\n", "chem_data.add_reaction(reactants=[\"B\"], products=[\"C\"],\n", " forward_rate=12., reverse_rate=2.) \n", "\n", "print(\"Number of reactions: \", chem_data.number_of_reactions())" ] }, { "cell_type": "code", "execution_count": 5, "id": "00ea560d-9a49-4041-b119-6de11bfcc7af", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 2 (at temp. 25 C)\n", "0: A <-> B (kF = 64 / kR = 8 / Delta_G = -5,154.85 / K = 8) | 1st order in all reactants & products\n", "1: B <-> C (kF = 12 / kR = 2 / Delta_G = -4,441.69 / K = 6) | 1st order in all reactants & products\n" ] } ], "source": [ "chem_data.describe_reactions()" ] }, { "cell_type": "code", "execution_count": 6, "id": "cb582868-431c-4022-aa0e-a2f554f80d6c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[GRAPHIC ELEMENT SENT TO LOG FILE `cascade_1.log.htm`]\n" ] } ], "source": [ "# Send a plot of the network of reactions 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": "98a9fbe5-2090-4d38-9c5f-94fbf7c3eae2", "metadata": {}, "source": [ "# Start the simulation" ] }, { "cell_type": "code", "execution_count": 7, "id": "c2f4a554-807b-49f9-8ca2-8d929fe6eeef", "metadata": {}, "outputs": [], "source": [ "dynamics = ReactionDynamics(chem_data=chem_data)" ] }, { "cell_type": "markdown", "id": "b0345d36-5702-4b40-9221-a765dfcb0bac", "metadata": {}, "source": [ "### Set the initial concentrations of all the chemicals, in their index order" ] }, { "cell_type": "code", "execution_count": 8, "id": "ae304704-c8d9-4cef-9e0b-2587bb3909ef", "metadata": {}, "outputs": [], "source": [ "dynamics.set_conc([50., 0, 0.], snapshot=True)" ] }, { "cell_type": "code", "execution_count": 9, "id": "a605dacf-2c67-403e-9aa9-5be25fc9f481", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "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" ] } ], "source": [ "dynamics.describe_state()" ] }, { "cell_type": "code", "execution_count": 10, "id": "0ff2c242-a15b-456d-ad56-0ba1041c0b4c", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEABCcaption
00.050.00.00.0Initial state
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" ], "text/plain": [ " SYSTEM TIME A B C caption\n", "0 0.0 50.0 0.0 0.0 Initial state" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history()" ] }, { "cell_type": "markdown", "id": "fc516ca2-e62d-4784-b826-5372ff7f4c75", "metadata": { "tags": [] }, "source": [ "## Run the reaction" ] }, { "cell_type": "code", "execution_count": 11, "id": "2502cd11-0df9-4303-8895-98401a1df7b8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "*** CAUTION: negative concentration in chemical `A` in step starting at t=0. It will be AUTOMATICALLY CORRECTED with a reduction in time step size, as follows:\n", " INFO: the tentative time step (0.02) leads to a NEGATIVE concentration of `A` from reaction A <-> B (rxn # 0): \n", " Baseline value: 50 ; delta conc: -64\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.333 (set to 0.00666) [Step started at t=0, and will rewind there]\n", "* INFO: the tentative time step (0.00666) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.5 (set to 0.00333) [Step started at t=0, and will rewind there]\n", "* INFO: the tentative time step (0.00333) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.5 (set to 0.001665) [Step started at t=0, and will rewind there]\n", "* INFO: the tentative time step (0.001665) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.5 (set to 0.0008325) [Step started at t=0, and will rewind there]\n", "* INFO: the tentative time step (0.0008325) leads to a least one norm value > its ABORT threshold:\n", " -> will backtrack, and re-do step with a SMALLER delta time, multiplied by 0.5 (set to 0.00041625) [Step started at t=0, and will rewind there]\n", "Some steps were backtracked and re-done, to prevent negative concentrations or excessively large concentration changes\n", "56 total step(s) taken\n" ] } ], "source": [ "dynamics.set_diagnostics() # To save diagnostic information about the call to single_compartment_react()\n", "\n", "# These settings can be tweaked to make the time resolution finer or coarser\n", "dynamics.set_thresholds(norm=\"norm_A\", low=0.5, high=1.0, abort=1.44)\n", "dynamics.set_thresholds(norm=\"norm_B\", low=0.2, high=0.5, abort=1.5)\n", "dynamics.set_step_factors(upshift=1.4, downshift=0.5, abort=0.5)\n", "dynamics.set_error_step_factor(0.333)\n", "\n", "dynamics.single_compartment_react(initial_step=0.02, reaction_duration=0.4,\n", " snapshots={\"initial_caption\": \"1st reaction step\",\n", " \"final_caption\": \"last reaction step\"},\n", " variable_steps=True, explain_variable_steps=False)" ] }, { "cell_type": "markdown", "id": "199b6238-f6ed-44a8-8130-a003444d7658", "metadata": {}, "source": [ "### Plots of changes of concentration with time" ] }, { "cell_type": "code", "execution_count": 12, "id": "a2c0e793-5457-46a5-9150-388c9f562cf0", "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=A
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamics.plot_curves(title=\"Coupled reactions A <-> B and B <-> C\",\n", " colors=['blue', 'red', 'green'])" ] }, { "cell_type": "code", "execution_count": 13, "id": "844183a6-e61f-4b7a-8aa6-013f4530a74b", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 26\n" ] }, { "data": { "text/plain": [ "(0.011856795047959055, 24.04728216157861)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.curve_intersection(\"A\", \"B\", t_start=0, t_end=0.05)" ] }, { "cell_type": "code", "execution_count": 14, "id": "025c387b-5bd2-4666-a140-9c66630da072", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 35\n" ] }, { "data": { "text/plain": [ "(0.03191446684059964, 8.846824660878902)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.curve_intersection(\"A\", \"C\", t_start=0, t_end=0.05)" ] }, { "cell_type": "code", "execution_count": 15, "id": "86f3a798-4a5b-4016-b4d1-121f9fb48506", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 43\n" ] }, { "data": { "text/plain": [ "(0.07775497645748508, 23.275670893111585)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.curve_intersection(\"B\", \"C\", t_start=0.05, t_end=0.1)" ] }, { "cell_type": "code", "execution_count": 16, "id": "80fbaee3-bd6f-4197-9270-23374d46a4a7", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEABCcaption
00.00000050.0000000.0000000.000000Initial state
10.00041648.6680001.3320000.0000001st reaction step
20.00099946.8590883.1315970.009315
30.00129045.9925603.9871820.020259
40.00143645.5683724.4044040.027224
50.00158245.1486264.8164590.034916
60.00172744.7332745.2234010.043326
70.00187344.3222685.6252870.052445
80.00201943.9155646.0221720.062264
90.00222343.3521346.5708880.076978
100.00242742.7969547.1100160.093029
110.00263142.2499017.6397050.110394
120.00291641.4952358.3682570.136509
130.00320240.7560249.0788710.165105
140.00348740.0319469.7719340.196120
150.00388739.03897810.7181810.242841
160.00428738.07444211.6314940.294064
170.00468737.13750412.5128680.349628
180.00524635.86329813.7034280.433274
190.00580634.64006314.8351150.524822
200.00636633.46571015.9104210.623868
210.00714931.88724717.3402640.772489
220.00793330.39690118.6687790.934320
230.00871628.98961919.9019921.108389
240.00981327.12904521.5030181.367938
250.01091025.41314322.9388651.647992
260.01200723.83030724.2233611.946332
270.01354321.78569125.8275442.386764
280.01507919.96174527.1828482.855407
290.01661418.33372128.3186923.347587
300.01876416.29804429.6381284.063828
310.02091414.56517730.6237924.811031
320.02306513.08771031.3318385.580452
330.02607511.32093132.0004846.678584
340.0290859.91061232.2951307.794258
350.0332998.32646432.3118399.361697
360.0375137.17012531.91310410.916771
370.0434125.96904330.98366113.047296
380.0493125.17760029.73551915.086881
390.0552124.62608228.35988217.014036
400.0611124.21788026.96105918.821061
410.0670113.89778625.59448120.507733
420.0729113.63405524.28819222.077754
430.0811713.31792722.56169824.120374
440.0894303.05482820.98704125.958131
450.0976902.82675919.56378427.609457
460.1059492.62520618.28235629.092438
470.1175132.37365116.66984630.956503
480.1290762.15909315.28720432.553704
490.1406401.97541614.10247533.922109
500.1568291.75513812.68144335.563419
510.1730171.57904811.54542336.875529
520.1956821.38196610.27399238.344042
530.2274121.1835308.99381439.822657
540.2718341.0149317.90613641.078933
550.3340250.9088037.22145941.869738
560.4210920.8746977.00150042.123803last reaction step
\n", "
" ], "text/plain": [ " SYSTEM TIME A B C caption\n", "0 0.000000 50.000000 0.000000 0.000000 Initial state\n", "1 0.000416 48.668000 1.332000 0.000000 1st reaction step\n", "2 0.000999 46.859088 3.131597 0.009315 \n", "3 0.001290 45.992560 3.987182 0.020259 \n", "4 0.001436 45.568372 4.404404 0.027224 \n", "5 0.001582 45.148626 4.816459 0.034916 \n", "6 0.001727 44.733274 5.223401 0.043326 \n", "7 0.001873 44.322268 5.625287 0.052445 \n", "8 0.002019 43.915564 6.022172 0.062264 \n", "9 0.002223 43.352134 6.570888 0.076978 \n", "10 0.002427 42.796954 7.110016 0.093029 \n", "11 0.002631 42.249901 7.639705 0.110394 \n", "12 0.002916 41.495235 8.368257 0.136509 \n", "13 0.003202 40.756024 9.078871 0.165105 \n", "14 0.003487 40.031946 9.771934 0.196120 \n", "15 0.003887 39.038978 10.718181 0.242841 \n", "16 0.004287 38.074442 11.631494 0.294064 \n", "17 0.004687 37.137504 12.512868 0.349628 \n", "18 0.005246 35.863298 13.703428 0.433274 \n", "19 0.005806 34.640063 14.835115 0.524822 \n", "20 0.006366 33.465710 15.910421 0.623868 \n", "21 0.007149 31.887247 17.340264 0.772489 \n", "22 0.007933 30.396901 18.668779 0.934320 \n", "23 0.008716 28.989619 19.901992 1.108389 \n", "24 0.009813 27.129045 21.503018 1.367938 \n", "25 0.010910 25.413143 22.938865 1.647992 \n", "26 0.012007 23.830307 24.223361 1.946332 \n", "27 0.013543 21.785691 25.827544 2.386764 \n", "28 0.015079 19.961745 27.182848 2.855407 \n", "29 0.016614 18.333721 28.318692 3.347587 \n", "30 0.018764 16.298044 29.638128 4.063828 \n", "31 0.020914 14.565177 30.623792 4.811031 \n", "32 0.023065 13.087710 31.331838 5.580452 \n", "33 0.026075 11.320931 32.000484 6.678584 \n", "34 0.029085 9.910612 32.295130 7.794258 \n", "35 0.033299 8.326464 32.311839 9.361697 \n", "36 0.037513 7.170125 31.913104 10.916771 \n", "37 0.043412 5.969043 30.983661 13.047296 \n", "38 0.049312 5.177600 29.735519 15.086881 \n", "39 0.055212 4.626082 28.359882 17.014036 \n", "40 0.061112 4.217880 26.961059 18.821061 \n", "41 0.067011 3.897786 25.594481 20.507733 \n", "42 0.072911 3.634055 24.288192 22.077754 \n", "43 0.081171 3.317927 22.561698 24.120374 \n", "44 0.089430 3.054828 20.987041 25.958131 \n", "45 0.097690 2.826759 19.563784 27.609457 \n", "46 0.105949 2.625206 18.282356 29.092438 \n", "47 0.117513 2.373651 16.669846 30.956503 \n", "48 0.129076 2.159093 15.287204 32.553704 \n", "49 0.140640 1.975416 14.102475 33.922109 \n", "50 0.156829 1.755138 12.681443 35.563419 \n", "51 0.173017 1.579048 11.545423 36.875529 \n", "52 0.195682 1.381966 10.273992 38.344042 \n", "53 0.227412 1.183530 8.993814 39.822657 \n", "54 0.271834 1.014931 7.906136 41.078933 \n", "55 0.334025 0.908803 7.221459 41.869738 \n", "56 0.421092 0.874697 7.001500 42.123803 last reaction step" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics.get_history()" ] }, { "cell_type": "code", "execution_count": 17, "id": "144d0388-a632-4165-a9c5-50bc7943fc88", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.0004163, in 1 step of 0.000416\n", "From time 0.0004163 to 0.000999, in 1 step of 0.000583\n", "From time 0.000999 to 0.00129, in 1 step of 0.000291\n", "From time 0.00129 to 0.002019, in 5 steps of 0.000146\n", "From time 0.002019 to 0.002631, in 3 steps of 0.000204\n", "From time 0.002631 to 0.003487, in 3 steps of 0.000286\n", "From time 0.003487 to 0.004687, in 3 steps of 0.0004\n", "From time 0.004687 to 0.006366, in 3 steps of 0.00056\n", "From time 0.006366 to 0.008716, in 3 steps of 0.000784\n", "From time 0.008716 to 0.01201, in 3 steps of 0.0011\n", "From time 0.01201 to 0.01661, in 3 steps of 0.00154\n", "From time 0.01661 to 0.02306, in 3 steps of 0.00215\n", "From time 0.02306 to 0.02908, in 2 steps of 0.00301\n", "From time 0.02908 to 0.03751, in 2 steps of 0.00421\n", "From time 0.03751 to 0.07291, in 6 steps of 0.0059\n", "From time 0.07291 to 0.1059, in 4 steps of 0.00826\n", "From time 0.1059 to 0.1406, in 3 steps of 0.0116\n", "From time 0.1406 to 0.173, in 2 steps of 0.0162\n", "From time 0.173 to 0.1957, in 1 step of 0.0227\n", "From time 0.1957 to 0.2274, in 1 step of 0.0317\n", "From time 0.2274 to 0.2718, in 1 step of 0.0444\n", "From time 0.2718 to 0.334, in 1 step of 0.0622\n", "From time 0.334 to 0.4211, in 1 step of 0.0871\n", "(56 steps total)\n" ] } ], "source": [ "dynamics.explain_time_advance()" ] }, { "cell_type": "markdown", "id": "c02a8f55-a671-4771-86c9-fc4d1b126bf8", "metadata": {}, "source": [ "### Check the final equilibrium" ] }, { "cell_type": "code", "execution_count": 18, "id": "b139f5e4-625f-4a5e-8f57-8f00244dced4", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0: A <-> B\n", "Final concentrations: [B] = 7.001 ; [A] = 0.8747\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 8.00449\n", " Formula used: [B] / [A]\n", "2. Ratio of forward/reverse reaction rates: 8.0\n", "Discrepancy between the two values: 0.05606 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n", "1: B <-> C\n", "Final concentrations: [C] = 42.12 ; [B] = 7.001\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 6.0164\n", " Formula used: [C] / [B]\n", "2. Ratio of forward/reverse reaction rates: 6.0\n", "Discrepancy between the two values: 0.2733 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Verify that all the reactions have reached equilibrium\n", "dynamics.is_in_equilibrium()" ] }, { "cell_type": "code", "execution_count": null, "id": "520b3b44-7da9-49d3-9cfd-685607169f01", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "5c3f8b4f-3a75-4a21-8579-13550bcebb3c", "metadata": {}, "source": [ "# EVERYTHING BELOW IS FOR DIAGNOSTIC INSIGHT\n", "\n", "### Perform some verification" ] }, { "cell_type": "markdown", "id": "07dd5aa4-9e71-40c1-9f15-a16a9333ed10", "metadata": {}, "source": [ "### Take a peek at the diagnostic data saved during the earlier reaction simulation" ] }, { "cell_type": "code", "execution_count": 19, "id": "5ad64dc5-ba89-4f09-b7db-da40de1df4ed", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reaction: A <-> B\n" ] }, { "data": { "text/html": [ "
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START_TIMEDelta ADelta BDelta Ctime_stepcaption
00.000000NaNNaNNaN0.020000aborted: neg. conc. in `A`
10.000000-21.31200021.3120000.00.006660aborted: excessive norm value(s)
20.000000-10.65600010.6560000.00.003330aborted: excessive norm value(s)
30.000000-5.3280005.3280000.00.001665aborted: excessive norm value(s)
40.000000-2.6640002.6640000.00.000833aborted: excessive norm value(s)
.....................
560.173017-0.1970820.1970820.00.022664
570.195682-0.1984370.1984370.00.031730
580.227412-0.1685990.1685990.00.044422
590.271834-0.1061280.1061280.00.062191
600.334025-0.0341060.0341060.00.087067
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61 rows × 6 columns

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" ], "text/plain": [ " START_TIME Delta A Delta B Delta C time_step \\\n", "0 0.000000 NaN NaN NaN 0.020000 \n", "1 0.000000 -21.312000 21.312000 0.0 0.006660 \n", "2 0.000000 -10.656000 10.656000 0.0 0.003330 \n", "3 0.000000 -5.328000 5.328000 0.0 0.001665 \n", "4 0.000000 -2.664000 2.664000 0.0 0.000833 \n", ".. ... ... ... ... ... \n", "56 0.173017 -0.197082 0.197082 0.0 0.022664 \n", "57 0.195682 -0.198437 0.198437 0.0 0.031730 \n", "58 0.227412 -0.168599 0.168599 0.0 0.044422 \n", "59 0.271834 -0.106128 0.106128 0.0 0.062191 \n", "60 0.334025 -0.034106 0.034106 0.0 0.087067 \n", "\n", " caption \n", "0 aborted: neg. conc. in `A` \n", "1 aborted: excessive norm value(s) \n", "2 aborted: excessive norm value(s) \n", "3 aborted: excessive norm value(s) \n", "4 aborted: excessive norm value(s) \n", ".. ... \n", "56 \n", "57 \n", "58 \n", "59 \n", "60 \n", "\n", "[61 rows x 6 columns]" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Concentration increments due to reaction 0 (A <-> B)\n", "# Note that [C] is not affected\n", "dynamics.get_diagnostic_rxn_data(rxn_index=0)" ] }, { "cell_type": "code", "execution_count": 20, "id": "71f62382-f07a-416d-876f-97832c1f79e5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reaction: B <-> C\n" ] }, { "data": { "text/html": [ "
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START_TIMEDelta ADelta BDelta Ctime_stepcaption
00.0000000.00.0000000.0000000.006660aborted: excessive norm value(s)
10.0000000.00.0000000.0000000.003330aborted: excessive norm value(s)
20.0000000.00.0000000.0000000.001665aborted: excessive norm value(s)
30.0000000.00.0000000.0000000.000833aborted: excessive norm value(s)
40.0000000.00.0000000.0000000.000416
50.0004160.0-0.0093150.0093150.000583
60.0009990.0-0.0109440.0109440.000291
70.0012900.0-0.0069650.0069650.000146
80.0014360.0-0.0076920.0076920.000146
90.0015820.0-0.0084100.0084100.000146
100.0017270.0-0.0091190.0091190.000146
110.0018730.0-0.0098190.0098190.000146
120.0020190.0-0.0147140.0147140.000204
130.0022230.0-0.0160510.0160510.000204
140.0024270.0-0.0173640.0173640.000204
150.0026310.0-0.0261150.0261150.000286
160.0029160.0-0.0285960.0285960.000286
170.0032020.0-0.0310150.0310150.000286
180.0034870.0-0.0467210.0467210.000400
190.0038870.0-0.0512230.0512230.000400
200.0042870.0-0.0555630.0555630.000400
210.0046870.0-0.0836460.0836460.000560
220.0052460.0-0.0915480.0915480.000560
230.0058060.0-0.0990460.0990460.000560
240.0063660.0-0.1486200.1486200.000784
250.0071490.0-0.1618310.1618310.000784
260.0079330.0-0.1740690.1740690.000784
270.0087160.0-0.2595480.2595480.001097
280.0098130.0-0.2800540.2800540.001097
290.0109100.0-0.2983400.2983400.001097
300.0120070.0-0.4404320.4404320.001536
310.0135430.0-0.4686430.4686430.001536
320.0150790.0-0.4921800.4921800.001536
330.0166140.0-0.7162410.7162410.002150
340.0187640.0-0.7472030.7472030.002150
350.0209140.0-0.7694210.7694210.002150
360.0230650.0-1.0981321.0981320.003010
370.0260750.0-1.1156731.1156730.003010
380.0290850.0-1.5674391.5674390.004214
390.0332990.0-1.5550741.5550740.004214
400.0375130.0-2.1305252.1305250.005900
410.0434120.0-2.0395852.0395850.005900
420.0493120.0-1.9271551.9271550.005900
430.0552120.0-1.8070251.8070250.005900
440.0611120.0-1.6866721.6866720.005900
450.0670110.0-1.5700211.5700210.005900
460.0729110.0-2.0426212.0426210.008260
470.0811710.0-1.8377571.8377570.008260
480.0894300.0-1.6513261.6513260.008260
490.0976900.0-1.4829811.4829810.008260
500.1059490.0-1.8640641.8640640.011563
510.1175130.0-1.5972011.5972010.011563
520.1290760.0-1.3684051.3684050.011563
530.1406400.0-1.6413101.6413100.016189
540.1568290.0-1.3121101.3121100.016189
550.1730170.0-1.4685131.4685130.022664
560.1956820.0-1.4786151.4786150.031730
570.2274120.0-1.2562761.2562760.044422
580.2718340.0-0.7908050.7908050.062191
590.3340250.0-0.2540650.2540650.087067
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" ], "text/plain": [ " START_TIME Delta A Delta B Delta C time_step \\\n", "0 0.000000 0.0 0.000000 0.000000 0.006660 \n", "1 0.000000 0.0 0.000000 0.000000 0.003330 \n", "2 0.000000 0.0 0.000000 0.000000 0.001665 \n", "3 0.000000 0.0 0.000000 0.000000 0.000833 \n", "4 0.000000 0.0 0.000000 0.000000 0.000416 \n", "5 0.000416 0.0 -0.009315 0.009315 0.000583 \n", "6 0.000999 0.0 -0.010944 0.010944 0.000291 \n", "7 0.001290 0.0 -0.006965 0.006965 0.000146 \n", "8 0.001436 0.0 -0.007692 0.007692 0.000146 \n", "9 0.001582 0.0 -0.008410 0.008410 0.000146 \n", "10 0.001727 0.0 -0.009119 0.009119 0.000146 \n", "11 0.001873 0.0 -0.009819 0.009819 0.000146 \n", "12 0.002019 0.0 -0.014714 0.014714 0.000204 \n", "13 0.002223 0.0 -0.016051 0.016051 0.000204 \n", "14 0.002427 0.0 -0.017364 0.017364 0.000204 \n", "15 0.002631 0.0 -0.026115 0.026115 0.000286 \n", "16 0.002916 0.0 -0.028596 0.028596 0.000286 \n", "17 0.003202 0.0 -0.031015 0.031015 0.000286 \n", "18 0.003487 0.0 -0.046721 0.046721 0.000400 \n", "19 0.003887 0.0 -0.051223 0.051223 0.000400 \n", "20 0.004287 0.0 -0.055563 0.055563 0.000400 \n", "21 0.004687 0.0 -0.083646 0.083646 0.000560 \n", "22 0.005246 0.0 -0.091548 0.091548 0.000560 \n", "23 0.005806 0.0 -0.099046 0.099046 0.000560 \n", "24 0.006366 0.0 -0.148620 0.148620 0.000784 \n", "25 0.007149 0.0 -0.161831 0.161831 0.000784 \n", "26 0.007933 0.0 -0.174069 0.174069 0.000784 \n", "27 0.008716 0.0 -0.259548 0.259548 0.001097 \n", "28 0.009813 0.0 -0.280054 0.280054 0.001097 \n", "29 0.010910 0.0 -0.298340 0.298340 0.001097 \n", "30 0.012007 0.0 -0.440432 0.440432 0.001536 \n", "31 0.013543 0.0 -0.468643 0.468643 0.001536 \n", "32 0.015079 0.0 -0.492180 0.492180 0.001536 \n", "33 0.016614 0.0 -0.716241 0.716241 0.002150 \n", "34 0.018764 0.0 -0.747203 0.747203 0.002150 \n", "35 0.020914 0.0 -0.769421 0.769421 0.002150 \n", "36 0.023065 0.0 -1.098132 1.098132 0.003010 \n", "37 0.026075 0.0 -1.115673 1.115673 0.003010 \n", "38 0.029085 0.0 -1.567439 1.567439 0.004214 \n", "39 0.033299 0.0 -1.555074 1.555074 0.004214 \n", "40 0.037513 0.0 -2.130525 2.130525 0.005900 \n", "41 0.043412 0.0 -2.039585 2.039585 0.005900 \n", "42 0.049312 0.0 -1.927155 1.927155 0.005900 \n", "43 0.055212 0.0 -1.807025 1.807025 0.005900 \n", "44 0.061112 0.0 -1.686672 1.686672 0.005900 \n", "45 0.067011 0.0 -1.570021 1.570021 0.005900 \n", "46 0.072911 0.0 -2.042621 2.042621 0.008260 \n", "47 0.081171 0.0 -1.837757 1.837757 0.008260 \n", "48 0.089430 0.0 -1.651326 1.651326 0.008260 \n", "49 0.097690 0.0 -1.482981 1.482981 0.008260 \n", "50 0.105949 0.0 -1.864064 1.864064 0.011563 \n", "51 0.117513 0.0 -1.597201 1.597201 0.011563 \n", "52 0.129076 0.0 -1.368405 1.368405 0.011563 \n", "53 0.140640 0.0 -1.641310 1.641310 0.016189 \n", "54 0.156829 0.0 -1.312110 1.312110 0.016189 \n", "55 0.173017 0.0 -1.468513 1.468513 0.022664 \n", "56 0.195682 0.0 -1.478615 1.478615 0.031730 \n", "57 0.227412 0.0 -1.256276 1.256276 0.044422 \n", "58 0.271834 0.0 -0.790805 0.790805 0.062191 \n", "59 0.334025 0.0 -0.254065 0.254065 0.087067 \n", "\n", " caption \n", "0 aborted: excessive norm value(s) \n", "1 aborted: excessive norm value(s) \n", "2 aborted: excessive norm value(s) \n", "3 aborted: excessive norm value(s) \n", "4 \n", "5 \n", "6 \n", "7 \n", "8 \n", "9 \n", "10 \n", "11 \n", "12 \n", "13 \n", "14 \n", "15 \n", "16 \n", "17 \n", "18 \n", "19 \n", "20 \n", "21 \n", "22 \n", "23 \n", "24 \n", "25 \n", "26 \n", "27 \n", "28 \n", "29 \n", "30 \n", "31 \n", "32 \n", "33 \n", "34 \n", "35 \n", "36 \n", "37 \n", "38 \n", "39 \n", "40 \n", "41 \n", "42 \n", "43 \n", "44 \n", "45 \n", "46 \n", "47 \n", "48 \n", "49 \n", "50 \n", "51 \n", "52 \n", "53 \n", "54 \n", "55 \n", "56 \n", "57 \n", "58 \n", "59 " ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Concentration increments due to reaction 1 (B <-> C)\n", "# Note that [A] is not affected. \n", "# Also notice that the 0-th row from the A <-> B reaction isn't seen here, because that step was aborted\n", "# early on, before even getting to THIS reaction\n", "dynamics.get_diagnostic_rxn_data(rxn_index=1)" ] }, { "cell_type": "code", "execution_count": null, "id": "46fdcb5b-ed5f-43a9-9829-533039666d0c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "b4d987b6-fe56-408a-98f4-8dad3c14af1f", "metadata": {}, "source": [ "### Provide a detailed explanation of all the steps/substeps of the reactions, from the saved diagnostic data" ] }, { "cell_type": "code", "execution_count": null, "id": "a796af3e-a7cc-4faa-b425-f07ddaf33aa1", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "de51ec27-1d0f-4bfb-83f0-b1c79b436d75", "metadata": { "tags": [] }, "source": [ "# Re-run with very small constanst steps" ] }, { "cell_type": "markdown", "id": "ff9fffab-a1f5-4497-9d7b-c3db023d1bd2", "metadata": {}, "source": [ "We'll use constant steps of size 0.0005, which is 1/4 of the smallest steps (the \"substep\" size) previously used in the variable-step run" ] }, { "cell_type": "code", "execution_count": 21, "id": "93418d81-12fa-417d-9906-1dd24a40de48", "metadata": {}, "outputs": [], "source": [ "dynamics2 = ReactionDynamics(chem_data=chem_data)" ] }, { "cell_type": "code", "execution_count": 22, "id": "ecf2029b-57a7-4db4-9b30-c854da91fb76", "metadata": { "tags": [] }, "outputs": [], "source": [ "dynamics2.set_conc([50., 0, 0.], snapshot=True)" ] }, { "cell_type": "code", "execution_count": 23, "id": "00777982-d633-4c12-8c92-2ece6bf00e5e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "800 total step(s) taken\n" ] } ], "source": [ "dynamics2.single_compartment_react(initial_step=0.0005, reaction_duration=0.4,\n", " snapshots={\"initial_caption\": \"1st reaction step\",\n", " \"final_caption\": \"last reaction step\"},\n", " ) " ] }, { "cell_type": "code", "execution_count": 24, "id": "78ed4dee-870a-4517-8bd0-58122c10e663", "metadata": {}, 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = px.line(data_frame=dynamics2.get_history(), x=\"SYSTEM TIME\", y=[\"A\", \"B\", \"C\"], \n", " title=\"Coupled reactions A <-> B and B <-> C (run with constant steps)\",\n", " color_discrete_sequence = ['blue', 'red', 'green'],\n", " labels={\"value\":\"concentration\", \"variable\":\"Chemical\"})\n", "fig.show()" ] }, { "cell_type": "code", "execution_count": 25, "id": "e884f562-a723-4208-88e5-ba0bf36e5e3a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 24\n" ] }, { "data": { "text/plain": [ "(0.011934802021672202, 24.03028826511689)" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics2.curve_intersection(t_start=0, t_end=0.05, chem1=\"A\", chem2=\"B\")" ] }, { "cell_type": "code", "execution_count": 26, "id": "5b01f35a-17ac-4965-8a21-f300783c1e2c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 65\n" ] }, { "data": { "text/plain": [ "(0.03259520587890533, 9.081194286771336)" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics2.curve_intersection(t_start=0, t_end=0.05, chem1=\"A\", chem2=\"C\")" ] }, { "cell_type": "code", "execution_count": 27, "id": "5dae6925-3f3b-49ca-81f9-3cb8f19fdd55", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Min abs distance found at data row: 159\n" ] }, { "data": { "text/plain": [ "(0.07932921476313338, 23.238745930657448)" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dynamics2.curve_intersection(t_start=0.05, t_end=0.1, chem1=\"B\", chem2=\"C\")" ] }, { "cell_type": "code", "execution_count": 28, "id": "4fd2ea95-76e3-4cdf-9ea0-ecd37a515cb5", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEABCcaption
00.000050.0000000.0000000.000000Initial state
10.000548.4000001.6000000.0000001st reaction step
20.001046.8576003.1328000.009600
30.001545.3706884.6009250.028387
40.002043.9372306.0068060.055964
..................
7960.39800.9254947.32915141.745354
7970.39850.9251957.32722141.747584
7980.39900.9248987.32530341.749800
7990.39950.9246027.32339641.752002
8000.40000.9243097.32150141.754190last reaction step
\n", "

801 rows × 5 columns

\n", "
" ], "text/plain": [ " SYSTEM TIME A B C caption\n", "0 0.0000 50.000000 0.000000 0.000000 Initial state\n", "1 0.0005 48.400000 1.600000 0.000000 1st reaction step\n", "2 0.0010 46.857600 3.132800 0.009600 \n", "3 0.0015 45.370688 4.600925 0.028387 \n", "4 0.0020 43.937230 6.006806 0.055964 \n", ".. ... ... ... ... ...\n", "796 0.3980 0.925494 7.329151 41.745354 \n", "797 0.3985 0.925195 7.327221 41.747584 \n", "798 0.3990 0.924898 7.325303 41.749800 \n", "799 0.3995 0.924602 7.323396 41.752002 \n", "800 0.4000 0.924309 7.321501 41.754190 last reaction step\n", "\n", "[801 rows x 5 columns]" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df2 = dynamics2.get_history()\n", "df2" ] }, { "cell_type": "markdown", "id": "45d5883d-c2c6-40a7-80b4-8a5976b8dfcd", "metadata": {}, "source": [ "## Notice that we now did 801 steps - vs. the 56 of the earlier variable-resolution run!" ] }, { "cell_type": "markdown", "id": "0f590255-1555-43d5-9adb-ace15ac80aa4", "metadata": {}, "source": [ "### Let's compare some entries with the coarser previous variable-time run" ] }, { "cell_type": "markdown", "id": "bfef068e-d576-4c3c-bda8-b0b51c5f88da", "metadata": {}, "source": [ "## Let's compare the plots of [B] from the earlier (variable-step) run, and the latest (high-precision, fixed-step) one:" ] }, { "cell_type": "code", "execution_count": 29, "id": "ce76fb06-b0fa-486b-b1ce-78f5786d8a85", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Variable-step run=B
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lUvz3pst6xXFHIff1VyzKdb+5BQ3nXyhCPPDtGhTfciMKHvqLlS9UUIiGC6eh4ddTEcovcDQGyrojXJ4bU9Y9I7QdgLJuG5XnhpR1zwgdBaCsO8LlqTFl3RM+R50p645weW6cSbIeFkoF7Yff37XXCe2Rj3cLb4l3ug0+1r3xaov6Pt/byZLtWLIefVha9Pb08O/H/Wi/HmNecP8T+OXEo7tFO3oyKPGefceDmHXRad1tIr8UWLuhMuYz6GPtMlBjWrN2o3X/fvTKen+PxwuPqb97zKOZ2WHPe9Y9/9XXG8BkWS/75c+R/+QTCA4ajKpHnhB71Fok4exPP0bxDVcj7/lnrR8HKwaiYfrlaDjvV7YLQVm3jUpLQ8q6Foy2glDWbWHS0oiyrgWj7SCUdduoPDekrHtGaDsAZd02Ki0NM0nW+zqRXIGMfjSakvTwS20/t3vPevSj0tR94uHHtEXKeuSj1FSeyG3zdh7dpvpEnsbe12SIvt89+hFrkdvj+3t0W1/3wYfzxhtLf3IdzcwOe8q6lr/++oKYKuulMy5G4b2LEMrLR+VTz6N97330XbSLSDlvvYGSq2ci5z//tnqrx75tXvAntO5/UNxolPW4iLQ2oKxrxdlvMMq6HGvKuhxrlYmyLsebsi7HmrIux1plyiRZlyWbvtli3bOeylfL0+A1VM9EWS++/bco/s011tVV/e0ZtB58qIYr1RMi75mnrHvos/77mRWw/qrrUT91Rr/BKet62NuNQlm3S8p7O8q6d4Z2I1DW7ZLS046yroejnSiUdTuU9LShrOvhaDcKZd0uKbYLE6Csp+FciN6CEbnVQ11uf48VUL83TdYLljyEARecbVWq5v6H0XzMT42rmnpee8msS62T49VLnUpfs+iBPg+9o6zLlpCyLsebsi7HmrIux1ploqzL8aasy7GmrMuxVpko67K80yEbZT0dqhhxDeoej3sffgZTzjwe+Xk5iD4tMPq+jMiTF8NhTJL1wJpvMHj/78PX0ozNv1+IplPPMLpi+U88hgFTL4CvoQGdQ4eh5k9/Rtt+B/QaM2VdtoyUdTnelHU51pR1OdaUdVnWlHU53pR1OdaUdVnWzGYmAW6Dj6pL9AEN0Y84iHWogkmyXjH+COS++RpafnIUqh9aauasixpV1lerUXbmqcj+eCUQCKB+1rWov3g64PN1t6Ssy5aSsi7Hm7Iux5qyLseasi7LmrIux5uyLseasi7LmtnMJEBZj6qLkvFZsxdh4dzpGD5kIK6dtxhj9t3NehSAesV6Tp8psl7w8F8w4NfnIVRYhA3vfozgwEFmzroYo/K1t6PkqstQ+KeF1m+tbfH3/KX7ueyUddlSUtbleFPW5VhT1uVYU9ZlWVPW5XhT1uVYU9ZlWTObmQQo61vqEn5G4LoNVd2PJwgfu3/y+MMweu9d+pT1moa2pFfXV12N0j12ga+uFk13LkDrmV3PSky1V/Zzz6Bw0pnWdQSHD0fjAw+hY78xCPh9KMzLQl1Te6pdUkqOt7Qwx2IdCoVScvypNOiC3Cx0BkNobe9MpWGn5FizA37k5QRQ36zpfUT99di6ASglmSRy0EogNze0ge8iiaTcFVv9/7G9I4i2jmDik2V4hpwsP7Kz/Ghs6chwEjKXr95HTPicHetq1dj4IoFEE6CsRxGO3Ab/vV1G2lpZb25N/ofsnDN+jsCjSxA84EC0/uvlRM+bhMb3fbsGOSefBP97/wGystBx3Q3ovHQGsrMDaG3nB5GEwt8SPC/Hb7GmqyeednaWz+Lc0UmlSTRtvx/ICvjRpul9JBgKwR9xu06ix59q8dUXIy1tyf//Y6pxczNeJZCdoRA6+T7iBp+jPmrxIBDwaXsfcZQ8Axvn5wZgwufsWOjV2PgigUQToKzHIBx5n3oq3LOeu/xfqPjZsdbz1De++R46t90u0fMm8fE7OlByw9UoWnAHlMm0Hfoj+JY8gk2BwsTnZgZwG7zcJOA2eDnW3AYvx1pl4mnwcry5DV6ONbfBy7FWmXgavCxvZjOPQMbLutr+/uKr7+K808db1Qlvh58961xr63sqnAY/+MB9rGeW186Zj8Zzppg3yzyMKO/5Z63H0PlrahAaNhxVix9E2+j9PERkVzsEKOt2KOlpQ1nXw9FOFMq6HUr62lDW9bGMF4myHo+Qvt9T1vWxtBOJsm6HEtukM4GMl/XwfelPv7iiu86p9Jz13OefRcWpJ6Jjx52w8c33e5ygni4TN7BhPcrPnIjsf79tbYuvu/J6NFw4LV0uz8jroKzLlYWyLseasi7HWmWirMvxpqzLsaasy7FWmSjrsrwjs6kFy7OmzukxgLNPHYdLJk9I3qAyMHPGy7qOmifzNPiBxx+NnNdexubb7kLTGb/UcTlGxshGEOW/vQmBubcAwSBaxh6BzX+4t/u0eCMHncKDoqzLFY+yLseasi7HmrIuy5qyLsebsi7HmrIuyzo6W/Tu4ujHWyd3dJmTnbKuodbJkvXsTz7CoEN+iOCAAdjwyVcI5aTvqZThR7fVPf08yiadBn91FTqHDUfN/Q+jbZ8faKgiQ0QSoKzLzQfKuhxryroca8q6LGvKuhxvyroca8q6LOt4sh7ejRz5SOvkjjAzslPWNdQ5WbJeNvmXyH/8EdRffhXqZ1yh4UrMDRH5nHX/po0oP+vnyHnrja5t8VfdgIZfTzV38Ck4Msq6XNEo63KsKetyrCnrsqwp63K8KetyrDNO1j/7DFi/XhawyrbLLsDQob3yxlpZn3XzIsy4YCJGbT9cfpwZmpGyrqHwyZD1wLq1GPL9XRDy+61VdbW6ns6vSFm3rjMYRPFtc1E89yags5Pb4jUXn7KuGWg/4Sjrcqwp63KsKeuyrCnrcrwp63KsM07WJ00C7r1XFrDKtngx8Mvet9LGumd92JAKLJw7nbIuWCXKugbYyZD1kmtmoujuO9D0i0nYfOudGq7C7BC9ZH3LcNXqetmk06EOoeO2eH01pKzrYxkvEmU9HiF9v6es62NpJxIPmLNDSU8byroejnaiUNbtUNLXJqMOmLvlFuDZZ/XBsxvp8suBo47q1Tp6ZV01iPUzu2nYzh0Byro7bj16Scu6r74eQ783Cr7GBmx8+0N0jNxRw1WYHaIvWVej9m/ejAHnnYm8fz1vXUTdTXPRMPnXZl+Q4aOjrMsViLIux5qyLsdaZaKsy/GmrMuxpqzLsVaZMkrWZdHGzRZLzNUhc9wKHxed1gaUdQ04pWW96O7foeSaWWg5chyqH3xMwxWYH6I/WQ+PvujO21FyXde9+80/PRGb71yIUEGh+Rdn4Agp63JFoazLsaasy7GmrMuypqzL8aasy7GmrMuyjs7GlfXk8g9np6xrqIOorHd0WPeqq3vWK//+LNoOPETDFZgfwo6sq6vIWfE6ys88Ff6qSrTvsitq/vIoOnYYaf4FGjZCyrpcQSjrcqwp63KsKeuyrCnrcrwp63KsKeuyrGPJevRz1vfYdSQWzJmGstLi5A4ug7JT1jUUW1LW8x99CGVTzkb7bt/Dplfe1jD61AhhV9bV1aj718t/fhKyP3gPoeJi1Cy8Dy1HHJ0aF2rIKCnrcoWgrMuxpqzLsaasy7KmrMvxpqzLsaasy7JmNjMJUNY11EVS1tVz1dXz1WsW3ovmk07RMPrUCOFE1tUV+draUDLzEhQ+sBjw+VB/yeWon3m19e98xSdAWY/PSFcLyroukvHjUNbjM9LZgves66TZfyzKuhxryroca8q6LGtmM5MAZV1DXaRkPfeVl1Bx4jHWqecb3vvMesZ4prycynqYS8GSh1A6dYol762H/xg19/wZwdLSTMHm+jop667ROe5IWXeMzHUHyrprdK46UtZdYXPVibLuCpurTpR1V9hcd+IBc67RsWOaEKCsayiklKxXnHI8cl/8J+quvxkNv5qqYeSpE8KtrKsrVNvhy8+YgMDa/6Fz2+1Q/dDfrPvZ+eqbAGVdbnZQ1uVYU9blWKtMlHU53pR1OdaUdTnWKhNlXZY3s5lHgLKuoSYSsp71xecYPGYvhPLysf6zrxEqKtIw8tQJ4UXW1VX6q6tR/otTrAPoFEN1Unzz8T9LHQDCI6WsywGnrMuxpqzLsaasy7KmrMvxpqzLsaasy7JmNjMJUNY11EVC1kuuuhxFf/g9Gs69AHWzf6th1KkVwqush69WPdpNPeJNvRrOvxB1v7kltUAIjZayLgQaAGVdjjVlXY41ZV2WNWVdjjdlXY41ZV2WNbOZSYCyrqEuErI+ZM+drG3clc8uR9sPfqhh1KkVQpesq6vOf/JvGPCr8+BrarSeVV87//foHDostYAkeLSU9QQDjghPWZdjTVmXY01Zl2VNWZfjTVmXY01Zl2XNbGYSoKxrqEuiZT3nnRUYePSP0Dn8O9jw4ecaRpx6IXTKurr67E8/QdkvTkHWl6sQLK+wHu/WevjY1AOToBFT1hMENkZYyroca8q6HGvKuixryrocb8q6HGvKuixrZjOTAGVdQ10SLeulV85A4cK70HDBxai7YbaGEadeCN2yrgiolXW1wq5W2uH3o37qjK7Hu/n9qQdI84gp65qB9hOOsi7HmrIux5qyLsuasi7Hm7Iux5qyLsua2cwkQFnXUJeEynoohKG7jYB/00ZseuE1tO+9j4YRp16IRMh6mELhPX9AyTUzux7vdsDB2HzPA+gcPCT1IGkcMWVdI8w4oSjrcqwp63KsKeuyrCnrcrwp63KsKeuyrJnNTAKUdQ11SaSs56x4AwOP/TE6v7MNNnzwfxpGm5ohEinrikj2yg9Q/vOTEFi3FsGKgai590FL3DP1RVmXqzxlXY41ZV2ONWVdljVlXY43ZV2ONWVdljWzmUmAsq6hLomU9dIrLkXhH+9Gw9QZqLvqeg2jTc0QiZZ1RcVfU4Oyc05H7ssvdW2Ln3EF6qfPzMht8ZR1ub8nlHU51pR1OdaUdVnWlHU53pR1OdaUdVnWzGYmAcq6hrokTNYjtsBvfPktdOy+h4bRpmYICVm3yIRCKL5tLorn3AgEg9bqulplV6vtmfSirMtVm7Iux5qyLseasi7LmrIux5uyLseasi7LmtnMJEBZ11CXRMl6zr/fxsCjDkPHTjtj45vvaxhp6oYQk/UtiHJffRll55wBf1UlgoMGo2bxX9C6/0GpC9DhyCnrDoF5aE5Z9wDPYVfKukNgHpsPK8/H+upmhDzGYff4BCjr8RnpakFZ10XSXpzhFflI1OdseyPou5UaG18kkGgClHUNhBP1JlI89yaofxqmXIi6G2/RMNLUDSEt64pUYOMGlJ15KtSj8xAIoH7WNai/+FLA50tdkDZHTlm3CUpDM8q6Bog2Q1DWbYLS1IyyrgmkjTCUdRuQNDWhrGsCaTMMZd0mKDZLWwKUdQ2lTZSsDzz6cOS88xaqHnkCrWOP0DDS1A2RDFm3aHV2ouSGq1B01++s/2w99HDU3PMXBMvKUhemjZFT1m1A0tSEsq4JpI0wlHUbkDQ2oaxrhBknFGVdjjVlXY61ykRZl+XNbOYRoKxrqEkiZF09A3zY9oOtFd1132xCKCdXw0hTN0TSZH0Lsrxnn0bZ+b+Er6EBncOGW9vi20aPSV2gcUZOWZcrLWVdjjVlXY61ykRZl+NNWZdjTVmXY01Zl2XNbGYSoKxrqEsiZD3v6X+g/MyJaDvoUFQ+8YyGUaZ2iGTLuqIX+OYrlJ92MrI//RjIykLdldej4cJpqQ22j9FT1uXKSlmXY01Zl2NNWZdlTVmX401Zl2NNWZdlzWxmEqCsa6hLImS99NKLUHjfPai7+gY0qPukM/xlgqyrEvjaWlFy2TQU/uU+qyItY4/A5j/cm3bb4inrcn/hKOtyrCnrcqwp67KsKetyvCnrcqwp67Ksmc1MApR1DXVJhKwPGf09BL5cjU0vvIb2vffRMMrUDmGKrIcp5j++BAMungJfS3PXtvj7H0bbPj9IbcgRo6esy5WSsi7HmrIux5qyLssDtUKLAAAgAElEQVSasi7Hm7Iux5qyLsua2cwkQFnXUBfdsh7437cYstfOCJaWYv0XazPi9PF4ZTBN1tV4s/7vvyg//WRkrf4Coexs1F9zIxqmXBTvUlLi95R1uTJR1uVYU9blWFPWZVlT1uV4U9blWFPWZVkzm5kEKOsa6qJb1gvuuwcDLr0IzSf8DDWLHtAwwtQPYaKsK6rqIMCy886COoBOvVqOOgab7/4TgiUlKQ2dsi5XPsq6HGvKuhxryrosa8q6HG/Kuhxryrosa2YzkwBlXUNddMt62S9PQ/6Tf8Pm3y9E06lnaBhh6ocwVdbDZIsW3Y2SWV1nC7Tvvgdqb78bbd/fN2XBU9blSkdZl2NNWZdjTVmXZU1Zl+NNWZdjTVmXZc1sZhKgrGuoi25ZHzpyKPx1ddjw0Sp0Dh2mYYSpH8J0WVeEc959B2VnTkRg/ToLeP3Mq1F/6ayUhE9ZlysbZV2ONWVdjjVlXZY1ZV2ON2VdjjVlXZY1s5lJgLKuoS46ZT37329j0FGHoWPHnbFxxfsaRpceIVJB1hVpf20tSi8+H/lP/d0Cr57Frp7Jrg6hS6UXZV2uWpR1OdaUdTnWlHVZ1pR1Od6UdTnWlHVZ1sxmJgHKuoa66JT14nk3o/iW36Dx3CmonT1fw+jSI0SqyHqYdv7SJSidcbEl76HiYmz+/R/RfOxxKVMMyrpcqSjrcqwp63KsKeuyrCnrcrwp63KsKeuyrJnNTAJJlfWa2npMmXkbVn66uhedPXYdiQVzpqGstNhMchGj0inrA48Zi5y33kT1g4+h5chxxl+71ABTTdYVl8C6tRjwq3OQ+8pyC1PTKT9H7dzbESosksLmOg9l3TU6xx0p646Rue5AWXeNzlXHYeX5WF/djJCr3uzkhABl3Qktb20p6974Oe09vCIfOj9nO83fX3s1Nr5IINEEkirrty5cYl3fJZMnJPo6Expf15uIOll82Miue9TXrV6HUEFhQsedSsFTUdbDfIv+eBeKr78avtYWdG67HWoWP2j84XOUdbm/HZR1OdaUdTnWKhNlXY43ZV2ONWVdjrXKRFmX5c1s5hFImqyrVfVZNy/CjAsmYtT2qXU/b3QZdcl63jNPofyMCWjb/0BUPvm8ebMliSNKZVlX2NSz2MvOPgPZKz8AsrJQP+MK1E+dAQQCSaTad2rKulxZKOtyrCnrcqwp67KsKetyvCnrcqwp67Ksmc1MApR1DXXRJeull01F4eI/pvQp4hpwxgyR6rJuXVRHh3UeQfEd84HOTmt1veaBR4w8fI6ynqiZ3DsuZV2ONWVdjjVlXZY1ZV2ON2VdjjVlXZY1s5lJIGmyrnCobfA7bDsUJ447xEw6NkelS9YH77cnslZ9gU3PvYz2fUfbzJ4ZzdJC1reUKue9dzHgnF8g6+svjT18jrIu9/eKsi7HmrIux5qyLsuasi7Hm7Iux5qyLsua2cwkkFRZX/X1Wjy49AXMmDIR+Xk5ZhKyMSodsh7YsB5Ddh9pydu6LzfYyJpZTdJJ1lXlfI0NKLnqchT++V6rkM0nTcDm3/7eqr8JL8q6XBUo63KsKetyrCnrsqwp63K8KetyrCnrsqyZzUwCSZP1/k6CV6gy7TT4/CceR9k5Z6D18B+j6tF/mDlbkjiqdJP1MMq8fz2PARecA3/lJqMOn6Osy012yroca8q6HGvKuixryrocb8q6HGvKuixrZjOTQNJk3Uwc7kalY2W95MrLULTwTtTPugb102e6G0ga90pXWVcl81dXYcDUC5C37EkEy8rQ+ItJaJhxBUJ5yXskCGVd7i8TZV2ONWVdjjVlXZY1ZV2ON2VdjjVlXZY1s5lJgLKuoS46ZH3Qjw9C9vv/QdXSZWg95DANo0qvEOks6+FKFfz1AZReOQO++np0brMtNt92N1oPH5uUQlLW5bBT1uVYU9blWFPWZVlT1uV4U9blWFPWZVkzm5kEki7r77z/Gc6aOqcHnftun4nRe+9iJrEYo/Iq6+r528O2HWhFXremEqHcvJS5dqmBZoKsK5ZqO/yACycj7/lnLbTqXvba2fMRLK+QQm3loazL4aasy7GmrMuxpqzLsqasy/GmrMuxpqzLsmY2MwkkVdaVqM9fuAQL5kxDWWnXwVrq0LnJl83HBWcelzKnxHuV9ZxXl2PgCePQvsde2PTSm2bOlCSPKlNkPYw5/6m/o+SyqQhs3GBtja+77mY0nXamWBUo62KoQVmXY01Zl2NNWZdlTVmX401Zl2NNWZdlzWxmEkiarDe3tOHaeYtx8vjDeq2iK4l/9MnluH7GpJQ4Jd6rrBf/djaK59yIxrMno/aW28ycKUkeVabJusLtr6tDydWXo+DB+y36bWMOxOY7FqBj5I4JrwZlPeGIuxNQ1uVYU9blWFPWZVlT1uV4U9blWFPWZVkzm5kEkibr6jT4WTcvwowLJmLU9sN70FGr6/Pufhizrzi3e8XdTHxdo/Iq6xUTjkPuv55HzcJ70XzSKSZfatLGlomyHoads+J1lE05G4E13yCUk4uGaTPQcPGlCOUk7nGHlHW5qU5Zl2NNWZdjTVmXZU1Zl+NNWZdjTVmXZc1sZhJImqxzZX3LhAgGMWzkUPgaGrDhvc+sx3fx1ZtAJsu6ouFraUbx7BtQ9Ic7gc5Oa3V98933oO0HP0zIdKGsJwRrzKCUdTnWlHU51pR1WdaUdTnelHU51pR1WdbMZiaBpMm6wrF02StY8uTyjL5nPeuLzzF4zF7oHDwEGz750sxZYsCoMl3WwyXI/uA9DPj1ucj+9BPrR+o+9robb0GwpERrlSjrWnH2G4yyLseasi7HmrIuy5qyLsebsi7HmrIuy5rZzCSQVFlXSDL9NPj8x5egbPJZaP3JUah6aKmZs8SAUVHWI4rQ2YniO+ajaN5s+NpaERw0GLU3z0PzCSdrqxRlXRvKuIEo63ERaWtAWdeG0lagYeX5WF/djJCt1mzkhQBl3Qs9Z30p6854eW09vCLf8+2mXsfQV381Nr5IINEEki7rib5Aifhe7lkvue4KFN15O+ovuRz1V1wrMdyUzEFZ7122rNVfYMCF5yPnrTesXzaPPwF1v7kFnd/ZxnONKeueEdoOQFm3jcpzQ8q6Z4SOAlDWHeHy1Jiy7gmfo86UdUe4PDemrHtGyAApToCyrqGAXmS94mfHInf5v1Bz30NoPvY4DaNJzxCU9b7rWnjvIpRcdyV8jQ1Wo/qLp6Ph0lkI5Re4ngyUddfoHHekrDtG5roDZd01OlcdKeuusLnqRFl3hc1VJ8q6K2yuO1HWXaNjxzQhQFnXUEgvsj50p+/AX1ODje9+jI7tR2gYTXqGoKz3X9fAurVQuzTUbRXq1TlkKOqvvhFNE09zNSEo666wuepEWXeFzVUnyrorbK47UdZdo3PckbLuGJnrDpR11+hcdaSsu8LGTmlEQFzW1SPbpsy8Db885Sjc+8izWPnp6pg499h1ZI+D5xLFPHwq/dMvruhOcd/tM3s8+10dhHf13MXW748ZO6bX89/dynrgf99iyF47Wyug69ZUJuoS0yIuZd1eGXPefhOlM6Yi++OVVof2vb6Pzbfeaf3p5EVZd0LLW1vKujd+TnpT1p3Q8t6Wsu6dod0IlHW7pLy3o6x7Z+gkAmXdCS22TUcC4rIehtjfc9bVoXOPPrm8lxQnogBqHPc+/AymnHk88vNyrAPvZs1ehIVzp1vPf1f/PX/hku4vDm5d2LVyecnkCd3DcSvrec8+jfLTT0bbAQeh8h//TMTlpU1MyrqDUoZCKPzLfSi+6Tr4KzcBPp+1wl537U0IDhxkKxBl3RYmLY0o61ow2gpCWbeFSVsjyro2lHEDUdbjItLWgLKuDaWtQJR1W5jYKI0JGCnrq75ei3l3P4zZV5yLstJiUfzhlf/pkydYq+tKznfYdihOHHeINY5oeVc/cyvrxXNvgvqncfKvUHvTPNHrTLVklHXnFfM1NKD4lt+g8J4F8LW3I1RUhPrps9B4/q8Rys7uNyBl3Tlvtz0o627JOe9HWXfOzEsPyroXes76Utad8fLSmrLuhZ7zvpR158zYI70IGCnratv5inc/EVlZjy6n+qLgytmLcNOsczF8yEBcO28xxuy7W7esR/5erbyr1/rqFlezouyMU5C77B+ovWsRmiee7ipGpnTKCvigpKaqri1TLlnbdapT44unX4TcV16yYnaMGIWGm+ai5chxfeYYNCAXlXVtCAX50CVthegjUElhFjo6Q2hq6Ux0qoyPn5PtQ2FeNmrqNb2P+EJAyJfxXPsCoL7021jTwke3CcyQAYXZaOnoREtrUCBbZqfIy/EjLyeAzQ3tmQ1C6OqHlue5/pyd6CGqsfFFAokmIC7rSnYnXzYf6zZU9Xltw4ZUdG9DTzSAyPjh+9fDch7+75PHH9Z9D3ssWQ+G3AmNf8QI4OuvEXz/fWDPPSUvNeVyqY/DPp8Pblmn3AUnYMC+Z56Bb9o04P/+z4oe+tGPEFqwANhpp17Z/D4fQqEQP2QnoA7RIX3okj3STjxsxdrng7b3kY6OELKyKOt9VU69j/A9O/HzWmVQ/39Ub9h8H0k8b+s9W+F2+dkv8SNMrwwmv4+osfFFAokmIC7r4Qvq7571RF90rPhhMR86uLz7fvRoeVf9Ysm6m23w/tpaDB01zNqOvO5/NYDfn4zLTpmc3AavqVQdHShadDeK5t0Mf10dkJWFhrPPR/2sa6xt8uEXt8Fr4m0jDLfB24CkqQm3wWsCaTMMt8HbBKWhGbfBa4BoMwS3wdsEpakZt8FrAskwKUsgabJuErFYoh4eX6LuWc999WVUnHA02r6/Lyqff9UkHEaOhbKutyz+qkoU33iNdRCdenVutz0aLrkcjaefZf03ZV0v7/6iUdblWFPW5VirTJR1Od6UdTnWlHU51ioTZV2WN7OZRyDjZT3W6nlkmRJ1GnzRXb9DybWz0HT6Wdh8+93mzQzDRkRZT0xB1CPeSi/5NXLefadL2rfZFg2XzkLRlHOwqbETQd6znhjwEVEp6wlH3J2Asi7HmrIuy5qyLsebsi7HmrIuy5rZzCSQVFnv7/51qees9zWGs08d170dPhHPWS87fxLyH3sYtbfchsazJ5s5OwwaFWU9scXI++czKJ59A7JXfmAlCo0ahboZV6DxxFN4i0Zi0VsHJ6oD5hpbOhKcieEp67JzgCvrcrwp63KsKetyrCnrsqyZzUwCSZP1yBXtvXbfEQ8ufQEzpky0nnWutp4fvN+e3Ye6mYlu66jc3LM++MB9kfXfT1H59Ito229/0y8x6eOjrAuUIBRC/tP/QNEtNyL700+shB07fxf1l1+F5p+eaD2vnS/9BCjr+pn2FZGyLsdaZaKsy/GmrMuxpqzLsaasy7JmNjMJJE3WIw+YU2gin6uutp4/+uTypDy6zU2ZnMq6eub1sO+UAcEg1q2pRCi/wE3ajOpDWRcsdyiEof/8O4LXXoesL7pOjm/f7XvWIXQtRx8rOJDMSEVZl6szZV2ONWVdljVlXY43ZV2ONWVdljWzmUnACFkvH1CM2Xc8iFkXnYay0mLrxPVIeTcT3dZROZX17HffwaAjD0XHqJ2w8a2ubcd89U+Asi47Q6wD5qqbkPfIQ9bJ8Vlff2kNQB2IWH/FtWg9/MeyA0rjbJR1ueJS1uVYU9ZlWVPW5XhT1uVYU9ZlWTObmQSSJuvRB7tFnrqu7hFf8e4nabuyXnDfPRhw6UVoPuFnqFn0gJkzw7BRUdZlC9LjNPiODhQ+9GcU/XY2Av/7tkvaf/BD1F1/M9r2O0B2YGmYjbIuV1TKuhxryrosa8q6HG/Kuhxryrosa2Yzk0DSZD0ah9oWP2XmbVj56WoMG1KBhXOnY9T2w82kFjUqpyvrAy75NQoeWIy6a25Ew0XTU+Iakz1IyrpsBWI9us3X1mbN26Lb5iKwYb01oNaDD0XdtTehfe99ZAeYRtko63LFpKzLsaasy7KmrMvxpqzLsaasy7JmNjMJGCPrZuKxNyqnsj7wiEOQ859/o+rRJ9F6+Fh7STK8FWVddgLEe8560YI7UHT7b6Ge165ezeOPR9N5F6B1/4NkB5oG2SjrckWkrMuxpqzLsqasy/GmrMuxpqzLsmY2MwkkTdYjD5hLlRX0vkroVNaHD+w6UG79f79BsGKgmTPDsFFR1mULEk/W1Wh8zU0oXLwIRb+bB391tTVAtT2+YdplaDlynOyAUzgbZV2ueJR1OdaUdVnWlHU53pR1OdaUdVnWzGYmAcq6hro4kfWsTz/G4INHIzh0GNZ/tEpD9swIQVmXrbMdWQ+PyNfSjMIHFqPwztsRWPs/68ftu+6OhqkzrHMZ4PfLDj7FslHW5QpGWZdjTVmXZU1Zl+NNWZdjTVmXZc1sZhJImqwrHKn2PPW+SuhE1vOX/BVlF5yDliOORvVfHzdzVhg4Ksq6bFGcyHr3yDo6ULDkryi6Yz6yvvjc+nHH9iPQeNElaDr1dIRycmUvIkWyUdblCkVZl2NNWZdlTVmX401Zl2NNWZdlzWxmEkiqrKtHtD249AXMmDIR+Xk5ZhKyMSonsl5y9eUoWvB71F9yufUILL7sEaCs2+Okq5UrWQ8nDwaR//TfUXTbPGR/+L71084hQ9F4wcVo/OU5CBUU6hpmWsShrMuVkbIux5qyLsuasi7Hm7Iux5qyLsua2cwkkDRZjzz9PRaaPXYdiQVzplnPXTf95UTWBx5/NHJeexnV9/4VLeOPN/3SjBkfZV22FJ5kPWKouS+9iKLb5yH39VesnwYHDEDj2eej8fwLESwrk70oQ7NR1uUKQ1mXY01Zl2VNWZfjTVmXY01Zl2XNbGYSSJqsm4nD3aicyPrQnb4Df00NNr77sbVFmC97BCjr9jjpaqVL1sPjyfn325a05z37tPWjUG4eGs88G40XTkPnsNR4RKMuttFxKOuJIts7LmVdjjVlXZY1ZV2ON2VdjjVlXZY1s5lJIGmy3t9p8O+8/xkefXI5rp8xKSW2x9uVdf/GDRi62wiEcnKwbu1mM2eEoaOirMsWRresh0ef9d/PUHTbLSh44nGgo8P6u9D8s4lomDYDHSNGyV6kIdko63KFoKzLsaasy7KmrMvxpqzLsaasy7JmNjMJGCnr6l72eXc/jNlXnJtW2+BzXl2OgSeMQ/ve+2DTC6+ZOSMMHRVlXbYwiZL18FUEvl2Dot/9FgV//TN8rS3WifHNxx5vSXv7HnvJXmySs1HW5QpAWZdjTVmXZU1Zl+NNWZdjTVmXZc1sZhIwUtaXLnsFK979JO1W1gvv+QNKZ16CplNOw+a7Fpk5IwwdFWVdtjCJlvXw1fg3bUThgjtQdO8i+OrrrR+3Hv5jNFxyGVr3P0j2opOUjbIuB56yLseasi7LmrIux5uyLseasi7LmtnMJCAu62rVfPJl87FuQ1WfRIYNqcDCudMxavvUuJfV7jb40sumonDxH1F37U1ouHCamTPC0FFR1mULIyXr3dJeV2f93VDi7q+q3CLtY9F84gTrWe2hvHxZAILZKOtysCnrcqwp67KsKetyvCnrcqwp67Ksmc1MAuKyHsbQ3z3rZqLqe1R2Zb3ip0ci941Xreerq+es82WfAGXdPisdLaVlPTxmtSW+4MEHUHTn7Qh885X141BhEZpOmoCmcy9A+6676bg8o2JQ1uXKQVmXY01Zl2VNWZfjTVmXY01Zl2XNbGYSSJqsm4nD3ajsynr4JPgN73yEzhEj3SXL0F6UddnCJ0vWu68yFELuyy+h4P57rBPkfe3t1q/aRo9B01nnoPmEkxDKyZWFkqBslPUEgY0RlrIux5qyLsuasi7Hm7Iux5qyLsua2cwkQFnXUBc7sq7uzR266w48Cd4lb8q6S3AuuyVd1iPG7a+uQuEDi1HwwL3dq+3qee1NE05D07nnp/wp8pR1l5PURTfKugtoHroMK8/H+upmhDzEYFd7BCjr9jjpaEVZ10HRfozhFfmw8znbfkR9LdXY+CKBRBNIqqyrrfBTZt6GlZ+u7nWde+w6EgvmTEub0+BzXnsZA48/2jrpetNLbya6rmkXn7IuW1KTZL37ytVq+/IXUXDfPch/bpn16Df1ahtzYNdq+09PsL4MS7UXZV2uYpR1OdYqE2VdjjdlXY41ZV2OtcpEWZflzWzmEUiqrN+6cIlF5JLJE8wj42BEdr7xUyuDpZf8Gs0nTUDNwvscRGdTRYCyLjsPjJT1CASBDetR8OD9KPjzvQis+cb6TbCkBE2n/gJNZ5+HjpE7ygLzkI2y7gGew66UdYfAPDanrHsE6KA7Zd0BLI9NKeseATrsTll3CIzN045A0mQ90w6YK7n2ChTddTvqZ1yB+suvSruJlOgLoqwnmnDP+KbLevdoQyHk/et5a7U975/PAJ2d1q9aDzrEWm1vOeY4hLKzZeE5zEZZdwjMQ3PKugd4LrpS1l1Ac9mFsu4SnItulHUX0Dx0oax7gMeuaUGAsq6hjHZW1st/cQrylj2JmrvvQfOEn2vImlkhKOuy9U4ZWY/AEti4wVppt1bbv11j/SZYMRBNPz8DjZMmo3Pb7WQh2sxGWbcJSkMzyroGiA5CUNYdwPLYlLLuEaCD7pR1B7A0NKWsa4DIEClNIGmyrqipbfA7bDsUJ447JKUh2pH1QYf8ENmffITK515G276jU/p6kzF4yros9VSU9UhCeS88h4L7/4S8Z57q/nHrIYdZh9E1TzgVbfsdIAu0n2yUdblSUNblWKtMlHU53pR1OdaUdTnWKhNlXZY3s5lHIKmyvurrtXhw6QuYMWUi8vNS72CocDntyPqwbSrga2nG+v9bg2B5hXkzwfARUdZlC5Tqsh6mFVi31rq3vfBPC6GeyBB+qVX2pp9NRPPE09AxaidZuFHZKOty+Cnrcqwp67KsKetyvCnrcqwp67Ksmc1MAkmT9f5Ogleo0uk0eHUY1pDdRyJUXIx1X24wcyYYPirKumyB0kXWI6mp1fa8vy9F/hOPw9fc1P0r9YSGlhNORtOEU9E5dJgsaACUdTnklHU51pR1WdaUdTnelHU51pR1WdbMZiaBpMm6mTjcjSreynrOG69h4E+PQPte38emF193lyTDe1HWZSdAOsp6mKCvrRV5/3wWeUsfRd7zz24Vd78frQcchOaTT0XL+BOs0+UlXpR1CcpdOSjrcqwp67KsKetyvCnrcqwp67Ksmc1MApR1DXWJJ+sFf30AAy46H83HnYiaP/1FQ8bMC0FZl615Ost6JEm1wq7ua89f+ihy//U8fG1t1q9DObloOeIotPxsovWn+u9EvSjriSLbOy5lXY41ZV2WNWVdjjdlXY41ZV2WNbOZSSCpst7c0oZr5y3G0y+uwLAhFVg4dzqGDxlo/WzMvrulzMFz8WS95KbrUHTbXDRMnYG6q643cyYYPirKumyBMkXWe4h7fT3yn/478h9fgtxXlwMdHdav1Qp7y7HHWyvurQceDPj9WotBWdeKs99glHU51pR1WdaUdTnelHU51pR1WdbMZiaBpMp6+DT4o380BvMWPIzTTvwxRm0/HO+8/xkefXI5rp8xKSUOnosn62XnnGHdJ7v5dwvQdNqZZs4Ew0dFWZctUCbKeiRh/+bNyH/iMeT97THkvvkaEAxav+4cNhzNJ5yM5pMnQt3rruNFWddB0V4Myro9Trpa8TR4XSTjx6Gsx2ekqwVlXRdJe3F4Grw9TmyVvgSSJuvqgLlZNy/CjAsmWqvpkbKuTomfd/fDmH3FuSgrLTaefjxZHzT2QGR/8B4qn3oebWMONP56TBwgZV22Kpku6z3EvXITCh572DqcLuedt7p/1TFyR+s0+c5ttkPL2J9Yz3R386Ksu6Hmrg9l3R03t70o627JOe9HWXfOzG0Pyrpbcu76UdbdcWOv9CFgpKyn28r6sO0Hw9fYgA0fr0bnkKHpM3sEr4SyLggbAGU9Nu/Amm9Q8LfHkLd0CbI/+rBHo7bv74vWI8ehdewRUP9u90VZt0vKezvKuneGTiJQ1p3Q8taWsu6Nn5PelHUntLy3pax7Z8gIqU0gabKusC1d9gpWvPsJZl10Gn6/+G/WNvjyAcWYMvM2TBh/WFrcs+6vrsbQnbdBKC8f676tSu3ZksTRU9Zl4VPW4/MOrPkaBY8+jNxnnkLOe+/26BAcOAjN48ajbewRaPnRjxHKL+gzIGU9PmtdLSjrukjai0NZt8dJRyvKug6K9mJQ1u1x0tWKsq6LJOOkKoGkyrqCplbRz5o6pwe/+26fidF775IyTPvbBp/977cx6KjD0LHr7tj46jspc02mDZSyLlsRyroz3v7qKuT98xnkPrcMeS+9AF9DQ3cAdZJ824EHo+XIo9Fy5DHo3Ha7HsEp685Ye2lNWfdCz3lfyrpzZm57UNbdknPej7LunJmXHpR1L/TYNx0IJF3W0wFif7Ke/9jDKDt/ElrGjUf1A4+kw+Um5Roo67LYKevuefva25Hz5utd4v78s8ha/UWPYB3f3QUtRyhxH4e20WNQWpKHjs4QGlu6Tp/nK3EEKOuJYxsrMmVdjjdlXY41ZV2OtcpEWZflzWzmEUiqrKvT4NdvrO5x6nv4cW7p8ui24rk3Qf3T8KupqLv+ZvNmQIqMiLIuWyjKuj7eWas+7151z3nrTSiZD7+CAwYgeMSRaD/qGNQe8mOo/+YrcQQo64ljS1mXZRudjbIux5+yLseasi7LmtnMJJA0WQ9L+cnjD+u15T2dDpgrm3I28h99CJvn/x5NZ55t5ixIgVFR1mWLRFlPDG9ffT3yXnq+a9X9hX/CX1W5NVEgYK20qxX31p8chfZddk3MIDI4KmVdtvhcWZfjTVmXY01Zl2NNWZdlzWxmEkiarEc+uk09Wz3ylU6Pbht41GHI+ffbqFr6NFoPOdzMWZACo6KsyxaJsi7AOxRCzrvvoOSl5xB4ZhkCH3baWLMAACAASURBVH7QI2nndttv3S5/4CEI5eQIDCq9U1DWZetLWZfjTVmXY01Zl2NNWZdlzWxmEkiarGfKyvrQXbaHv3ITNrz3Wa+DpcycEmaOirIuWxfKuhzv8AFzLV9/i7xnn7ZW3XNffRm+5qbuQYQKCtF62I/QesTRaD5yHIKDBssNMI0yUdZli0lZl+NNWZdjTVmXY01Zl2XNbGYSSJqsKxxqu/us2YuwcO50hFfX1ar65Mvm44Izj0v5R7epZ6urZ6yr19rKrR+8zZwKZo+Ksi5bH8q6HO++ToPPe+E55D7/LPKeW4bAt2t6DKj18B+jbb/90b7HXmjb7wDe626zXJR1m6A0NaOsawJpIwxl3QYkTU0o65pA2gzDA+ZsgmKztCWQVFlXVMNyvm7D1meQp8uj27JXfoBBh++Pjp12xsY330/bSSRxYZR1Ccpbc1DW5XjbeXRb9kcfwpL3555Bzjsreg2ufdfd0Lb/QWgfPQatY/ZH57bby11ACmWirMsWi7Iux5uyLseasi7HWmWirMvyZjbzCCRd1s1D4nxEfT26Lf8fS1E26XTrvtPqvz7uPDB7dBOgrMtOBsq6HG87sh45Gn9NDXJfexnZb7yG3DdfgxL56FfnkKHWinvbwYeibcwBaN91d7kLMjgTZV22OJR1Od6UdTnWlHU51pR1WdbMZiYByrqGuvQl60W3z0PJb65F4+RfofameRoyZW4Iyrps7Snrcrydynr0yNTtNjlvr0DOG69BPRpOHVrna23p0Uw9Eq7th/tbq+9tY/ZH+977IpSdLXeRhmSirMsWgrIux5uyLseasi7HmrIuy5rZzCSQVFlXJ8JPmXkbVn66uhedPXYdiQVzpqGstNhMchGj6kvWB1w8BQUP3o/aObei8Zzzjb8OkwdIWZetDmVdjrdXWe8l7+3tyH7/P8hZ8QZyVryOnLffhFqNj3yFcvPQtu9o6773tgMOQtsPxyBUWCR30UnKRFmXBU9Zl+NNWZdjTVmXY01Zl2XNbGYSSKqs37pwiUXlkskTzKRjc1R9yfrA445EzuuvouqRJ9A69gib0dgsFgHKuuy8oKzL8dYt671GHgoh+7NPkfPWG8h5s2v1PfrAOgQCaN/te2gdcyDaDzgQrQccjGDFQDkIQpko60Kgt6ShrMvxpqzLsaasy7GmrMuyZjYzCSRN1vt7zrqZqPoeVV+yPnSPHeFftxYb3l6JzpGjUu2yjBovZV22HJR1Od4Jl/UYlxJYv876IrFL3t+wZB6hUI+WHSNGWfe7t+1/oPVnx8gd5aAkKBNlPUFg+whLWZfjTVmXY01Zl2NNWZdlzWxmEqCsa6hLLFlX94wO+065FZ2PbfMOmbLunaGTCJR1J7S8tU2GrEeP2F9X1yXtK15Hrrr3/Z23el1UsLwCTT8/A6HSAdYqfPtuu6fcqfOUdW9z1WlvyrpTYu7bU9bds3Pak7LulJi39jwN3hs/9k59AkmTdYVObYPfYduhKfM89b7KHUvWs/77GQYfuA86dhiJjf/+KPVnSpKvgLIuWwDKuhxvE2Q91tXmvvFq133vb75uPS7O19DQq1moqAhte+2D9j33Rsfu30P79/a0/jH1RVmXrQxlXY43ZV2ONWVdjrXKRFmX5c1s5hFIqqyrZ6w/uPQFzJgyEfl5OebRsTmiWLKe9+zTKD/9ZLQe/mNUPfoPm5HYrC8ClHXZuUFZl+NtqqxHE8j+4D3krPwAgU8+Rs77/0H2xyuhTqKP9VLyrlbeO9Sfu++Jtr2+DyX2yX5R1mUrQFmX401Zl2NNWZdjTVmXZc1sZhJImqz3dxK8QpXqp8EX3fU7lFw7C42TzkPt3NvNrH4KjYqyLlssyroc71SR9VhEsr5ajeyVHyJr5QfW896VwAf+921MeJ3bbd+18r7HXt0r8J3bbicHGgBlXRQ3KOtyvCnrcqwp63KsKeuyrJnNTAJJk3UzcbgbVayV9dJLL0Lhffeg9sZb0DjlQneB2aubAGVddjJQ1uV4p7Ksx6Kk7n9Xq/DZH33QJfErP0T25/8FOjp6NQ+WlqL9e13y3rFH1xb6ju/umrBnwFPW5ea1ykRZl+NNWZdjTVmXY01Zl2XNbGYSoKxrqEssWa/42XjkLn8R1Q8+hpYjx2nIktkhKOuy9aesy/FON1mPRc7X3o6sTz+2Vt+zlLxbq/AfQol99CuUnY2OnXdB+x5K4JXI76VtGz1lXW5eU9ZlWVPW5XhT1uVYU9ZlWTObmQSSLuvvvP8Zzpo6pwed+26fidF77yJOrK8D75YuewVXz11sjeeYsWNw/YxJPe6xjyXrQ/bdDYGvv8LG19+1Vor48kaAsu6Nn9PelHWnxNy3zwRZ74tO4JuvkBO5jf6jD3s/A35LZ7VlPnyAnbWVfo89HZ9GT1l3P0/d9OTKuhtq7vpQ1t1xc9OLsu6Gmvs+PGDOPTv2TA8CSZV1JerzFy7BgjnTUFZabBFVh85Nvmw+LjjzOLFT4iNl/MbLJvXIGz1GJfTqdcnkCd0zoJesd3Zi+JCu61n3v2qEcvPSY7Yk8Soo67LwKetyvDNZ1mNR9tXXI+fD93tso8/6v8+gVuejX9Y2+t23bJ/fc8t2+n620VPW5ea1ykRZl+NNWZdjTVmXY60yUdZleTObeQSSJuvNLW24dt5inDz+sF6r6EqQH31yea8V7ETji7WyHv2zWF8wRMt61perMHj0HlArQRve+yzRw86I+JR12TJT1uV4U9btsbbug//kI2R98jGyP3zfOpE+1mn06n23Y9vtgdxcdOwwAp07jETHjjuhc7sdENh5RxSWFaOqrtVeUrbyRICy7gmfo86UdUe4PDWmrHvC57gzZd0xMnZIMwJJk3V1GvysmxdhxgUTMWr74T2wqtX1eXc/jNlXnNu94i7BPVrMw18ojNl3t+7VdjW2K2cvwk2zzu0ed7Ss577wHComnoC2gw5F5RPPSAw97XNQ1mVLTFmX401Zd886sOabrvvf1T9bTqQPfPN13wF9PoSGDUfb9iPQOWIkOkeOsoS+Y8QodI4YhWBJifvBsGcvApR1uUlBWZdjTVmXY60yUdZleTObeQSSJuupsLIea4yxZL2tI9ijsv677kTW1IsRPOccdCxYaF7VU3BEPgBZAR/aO0MpOPrUG3J2wI+OziBIO/G1C/h9UKA7Q6SthXZTE3yrVsG3epX1J774Ysu/r4ZvzTdAZ2ffacrLERo1CqGRo6w/seOOXf8+ciRCw4b16tcZDMGqH18xCeRk+RH9/0eiSgyBLL8PwVAIQb6NJAZwRFT1V97v86GDsBPOWiUw+X1EjY0vEkg0gaTJurowda/4kieXJ/2e9TBktyvrlbU9t1QWzpyO/D/chcbrb0LzxdMTXcOMiK9EvSg/G5sb2jLiepN9keUlOahpaEeIH0YSXoqi/Cwo6Wtu7UciEz6KzEiQHepE4fpv0fTJfxFYvQr+1asR+HJ1179/8xV8LS19ggjlF3Stxlsr8iMtiVdb7NXqfOc22wKBQGZAdHCVFSW5qK5r5Zd+Dpi5bVpckG19MdLaxvcRtwzt9svNDiAnx4/6xt7naNiNwXb2CQwszUX052z7vRPbUo2NLxJINIGkyrq6ONNPg3dzz3r5GROQ98xTqLn3QTSPPyHRNcyI+NwGL1tmboOX481t8HKs4x0wF/jft8j66kuoc0f8X61G1urV1r9nfbUa6uC7/l4dStxHjETHFqG3ttbvMBLtu2Tu00C4DV5ubnMbvBxrboOXY60ycRu8LG9mM49A0mXdJCSxDphzcxr8oMPGWPdQbnr+VbR/f1+TLjFlx0JZly0dZV2ON2VdjnU8We9vJP7qakvcA0rmv1Kr8V8g68svEVD/vnFD3119PnQOGw5L5tWBdyN3RMeIEdZ/d4zcEaHirieHpOOLsi5XVcq6HGvKuhxryrosa2Yzk0BSZV3J8fqN1T1OfY91qFui0UU+uk3lGjakAgvnTu8+QM7pc9aHjRwGX10t1n/6FYKDBid6+BkRn7IuW2bKuhxvyrocay+y3t8ofc1NyPpSrcKvtmTeEnm1Mq9k/n9r+r1PPlhe3iXyalXe+nMUOkYqsR+JzsFD5OAkIBNlPQFQ+whJWZdjTVmXY01Zl2XNbGYSSJqsm3jAnNsSRZ4G76vdjGGjhiOUl49131a5Dcl+UQQo67JTgrIux5uyLsc6UbLer8i3tyOw5mtre726N17dI98l8qsQ+Ppr+Fr7uU++oHDLafURq/JqRX7ECHRusx3gN/twI8q63NymrMuxpqzLsaasy7JmNjMJJE3WTXx0m9sSRcp69mefYtBB+6Jj5+9i4xvvuQ3JfpT1pM4Byrocfsq6HOtkyHq8q4t5n/zXXyJr1efwNTT02V1toe8cuuWEenUSeFk5ghUDERw4CKGKCnSWd/27WrlXP+8c/p14Q9H+e8q6dqR9BqSsy7GmrMuxpqzLsmY2MwkkTdbTdWU996UXUHHyT9F6yOGoWvq0mVVPwVFxZV22aJR1Od6UdTnWJsp6f1fv+j75PoKGiooQLB+IzoEDESyvQND6cyBCAwehs6KiS/bDfyrZHzDAU3Eo657wOepMWXeEy1NjyronfI4784A5x8jYIc0IJE3WFUd1eNus2Yt63B+unmM++bL5uODM43DiuENSAnfkynrBXx/AgIvOR9Mpp2HzXYtSYvypMEjKumyVKOtyvCnrcqxTTdb7JdPRgUDlJvirKuGvqoK/Sv17FfzqZ9Xqz0r4q9Xvun4fqK4COjqcwc7Kslbsu+ReiXyEzKufqf+2VvDD8j8Ioezs7hyUdWe4vbSmrHuh56wvZd0ZL6+tKeteCbJ/qhNIqqwreGE5X7dh6/3d990+E6P33iVl2EbKevH8OSiefQMaps5A3VXXp8w1mD5QyrpshSjrcrwp63Ks00rWXWDz19ZulXol8dVVCFRWwmeJflj6t8h91aZ+t+H3lV6dbt+1BX8gsocMRnNp2ZZV/MERq/ZbV/WDpaUuroRdoglQ1uXmBGVdjrXKRFmX5c1s5hFIuqybh8T5iCJlvfTSi1B43z2oveU2NJ492Xkw9ohJgLIuOzEo63K8KetyrDNd1p2S9rW3x16pV6v2kXJfXWlJv7+m2vHqvVqJ777f3tqCP2ir1Fv34Pdcve8cOAjIynJ6KWnfnrIuV2LKuhxryrosa2YzkwBlXUNdImW9/LSfIe+5Zah+4BG0jBuvITpDKAKUddl5QFmX401Zl2NNWU88a//mzV2r99VVGNhah9qv11lb8n2W3G/Zql9ViYC1db8Svsa+D9Hra7TW6n201CvRH9jH6n1JSeIvPMkZKOtyBaCsy7GmrMuyZjYzCVDWNdQlUtYHjT0Q2R+8h00vvIb2vffREJ0hKOvyc4CyLsecsi7HmrIux1plsnvPujoRf+t99lUIqC341dXwb9rY9XN1z70S/S0r+m6uQj2zfus9912r9+37/ACd224fM1wo4Ecov8B6DGuoIL/rT/XfRUVu0ie8D2U94Yi7E1DW5VhT1mVZM5uZBCjrGuoSKetDdhuBwMYN2PDRqq2P1dGQI9NDcGVddgZQ1uV4U9blWFPW5Vg7kXWno1Kn5FsSrw7Qq1Sr9F332fusw/W2/MyS/C0/b2p0miJu+2BJyVaBz8/rEvmCQoRycxEqUJK/5WdbZB/qd5bwR/wT/gIg8ssA1U/1t9oVxB1HuAFl3TYqzw0p654ROgrAe9Yd4WLjNCRAWddQ1EhZHz6w63+uayubNERmiDAByrrsXKCsy/GmrMuxpqzLsU6krLu5Cmv1PnwyvnW4XiV8NTXwNTXC19wMX3MTfM0tXX+2NMPX1Nz1p/Vz9Wf4H9n/t4dylfRHiL+S+BhfBuQUF6IjNx/tuflA+AuB/r4MCH+ZoL5kUPFz89xgzcg+lHXZslPWZXkzm3kEKOsaahKWdfVhYMheOyM4bDjWr/xCQ2SGoKwnZw5Q1uW4U9blWFPW5VibJus6r9zX1tpT5lta4GtSkr9F9qPFv7kZUL8PfykQ/WVAuL/6ffcXBC3Wv4u9/P7eK/+xbgOI2hlg7RjY8mVCUO0EyMtDsGDLn9Z/5yOodg50xyoAAgGxy0pEIsp6Iqj2HZOyLsub2cwjQFnXUJOwrOe8+w4GHnko2n7wQ1Q+u1xDZIagrCdnDlDW5bhT1uVYU9blWKezrEtStFb+o78MUELf0modztcl980oDLajo6EBHQ1NgOoTuTMg3L9VfcmgdhL03EXgr6uTvCQrl7r33xL4iF0AwYJCIC9368/DOwPUlwHWlwJbbi+I2lnQevhY0fFT1kVx89FtsriZzUAClHUNRQnLev5Tf0fZWaei+djjUHPfQxoiMwRlPTlzgLIux52yLseasi7HmrIuy1rHPeu+hob4twFErfx3fWEQtbPAaqN+pr5oiLyFoNnV6f+yJL1ns24p8Pu3/ONDKPzvvq6fdf93dxs/Qlt+19XPt7Vdj59H9A3HUrsUfKp9Vx8rflSf7pxROXqOI9B7XL7osfa+FiunGkPENW6Na2NMql8PLlv7qJ+rWOWleahu7Ojn+mww7nEtEeOKyN/NL2a9IvpE3DKiVv35IoFEE6CsayAclvWiRXejZNalaDxnCmrnzNcQmSEo68mZA5R1Oe6UdTnWlHU51pR1WdY6ZF1yxP7a2p5b/sNnBahbASJvKdhyy4C1WyB8m0H0bQRt7UAwCISCXX8Gg/Bt+TP83+p3W38W2tomok+Pfr1ibekjeWuCZEGYyx2BUMhdP/YiAQcEKOsOYPXVNCzrJddfhaLf34q6q29Aw8WXaojMEJT15MwByrocd8q6HGvKuhxryros61STdVk6erP12gavhC38BUEP+Q/1/NJgy+88f5EQ8cVEV6yu/OEvLKyfdXb2/OKir3H1NSZ1PVF9Yl5jRJ7wlyXRY7L+29aXIj2vI5wvL8uHlpauL2R6x4pgLPBlDYKdW2u6pe56ZxejkUBvApR1DbMiLOtl509C/mMPo+bue9A84ecaIjMEZT05c4CyLsedsi7HmrIux5qyLsuasi7Hm/esy7FWmXjAnCxvZjOPAGVdQ03Csj7wuKOQ8/orqPzbMrQdfJiGyAxBWU/OHKCsy3GnrMuxpqzLsaasy7KmrMvxpqzLsaasy7JmNjMJUNY11CUs64P32xNZq77AxhXvo2PHnTVEZgjKenLmAGVdjjtlXY41ZV2ONWVdljVlXY43ZV2ONWVdljWzmUmAsq6hLmFZH7btQOsk1XVrKq1HjPClj0B2wIcBRTnYVNuqLygj9UmAsi43OSjrcqwp63KsKeuyrCnrcrwp63KsKeuyrJnNTAKUdQ11UbLuq6vFsJHDECouwbov12uIyhCRBCjrsvOBsi7Hm7Iux5qyLseasi7LmrIux5uyLseasi7LmtnMJEBZ11AXJetZ//0Ugw/cFx0774KNb/xHQ1SGoKwnbw5Q1uXYU9blWFPW5VhT1mVZU9bleFPW5VhT1mVZM5uZBCjrGuqiZD13+Yuo+Nl4tB76I1Q9/pSGqAxBWU/eHKCsy7GnrMuxpqzLsaasy7KmrMvxpqzLsaasy7JmNjMJUNY11EXJesFDf8aACyejaeLp2HznHzVEZQjKevLmAGVdjj1lXY41ZV2ONWVdljVlXY43ZV2ONWVdljWzmUmAsq6hLkrWi269BSU3X4+GaZeh7srrNERlCMp68uYAZV2OPWVdjjVlXY41ZV2WNWVdjjdlXY41ZV2WNbOZSYCyrqEuStZLZ1yMwnsXoXbu7WicdJ6GqAxBWU/eHKCsy7GnrMuxpqzLsaasy7KmrMvxpqzLsaasy7JmNjMJUNY11EXJevnpJyPv2adR/eclaDn6WA1RGYKynrw5QFmXY09Zl2NNWZdjTVmXZU1Zl+NNWZdjTVmXZc1sZhKgrGuoi5L1QWMPRPYH72HTC6+hfe99NERlCMp68uYAZV2OPWVdjjVlXY41ZV2WNWVdjjdlXY41ZV2WNbOZSYCyrqEuStaH7j4S/g3rsf6jVQgOHaYhKkNQ1pM3Byjrcuwp63KsKetyrCnrsqwp63K8KetyrCnrsqyZzUwClHUNdVlb2YThg4usSGs3NgA+n4aoDEFZT94coKzLsaesy7GmrMuxpqzLsqasy/GmrMuxpqzLsmY2MwlQ1jXUZf3KLzB0z53QOfw72PDh5xoiMkQ0geyADwOKcrCptpVwBAhQ1gUgb0lBWZdjTVmXY01Zl2VNWZfjTVmXY01Zl2XNbGYSoKxrqMumf76CQUceivZ9R2PTcy9riMgQlPXkzgHKuhx/yroca8q6HGvKuixryrocb8q6HGvKuixrZjOTAGVdQ12q738Y5WedipZjj0P1fQ9piMgQlPXkzgHKuhx/yroca8q6HGvKuixryrocb8q6HGvKuixrZjOTAGVdQ11q59yK0lnT0XjuFNTOnq8hIkNQ1pM7Byjrcvwp63KsKetyrCnrsqwp63K8KetyrCnrsqyZzUwClHUNdWm4+FIU3TEfddfciIaLpmuIyBCU9eTOAcq6HH/Kuhxryroca8q6LGvKuhxvyroca8q6LGtmM5MAZV1DXZon/Bz5jz6EmgV/QvPJp2qIyBCU9eTOAcq6HH/Kuhxryroca8q6LGvKuhxvyroca8q6LGtmM5MAZV1DXdoOPgw5r72MyieeQdtBh2qIyBCU9eTOAcq6HH/Kuhxryroca8q6LGvKuhxvyroca8q6LGtmM5MAZV1DXTp23BlZqz7HxhUfoGPHnTREZAjKenLnAGVdjj9lXY41ZV2ONWVdljVlXY43ZV2ONWVdljWzmUmAsq6hLqGCQviam7BuTSVC+QUaIjIEZT25c4CyLsefsi7HmrIux5qyLsuasi7Hm7Iux5qyLsua2cwkQFn3Wpe6OqC0FKGSUqxbvc5rNPbvg0B2wIcBRTnYVNtKRgIEKOsCkLekoKzLsaasy7GmrMuypqzL8aasy7GmrMuyZjYzCVDWvdbl00+B3XZDx3d3xcbX3/Uajf0p60bMAcq6XBko63KsKetyrCnrsqwp63K8KetyrCnrsqyZzUwClHWvdXnhBeAnP0HrYWNR9diTXqOxP2XdiDlAWZcrA2VdjjVlXY41ZV2WNWVdjjdlXY41ZV2WNbOZSYCy7rUu998PnHUWmk49A5t/v9BrNPanrBsxByjrcmWgrMuxpqzLsaasy7KmrMvxpqzLsaasy7JmNjMJUNa91uXmm4Err0T9JZej/oprvUZjf8q6EXOAsi5XBsq6HGvKuhxryrosa8q6HG/Kuhxryrosa2YzkwBl3WtdfvUr4O67sfm3d6DprHO8RmN/yroRc4CyLlcGyroca8q6HGvKuixryrocb8q6HGvKuixrZjOTAGXda12OPx74+99R/eBjaDlynNdo7E9ZN2IOUNblykBZl2NNWZdjTVmXZU1Zl+NNWZdjTVmXZc1sZhKgrHuty+jRwL//jU0vvo72vb7vNRr7U9aNmAOUdbkyUNblWFPW5VhT1mVZU9bleFPW5VhT1mVZM5uZBCjrXusyfDiwbh3Wf/IlgoOHeI3G/pR1I+YAZV2uDJR1OdaUdTnWlHVZ1pR1Od6UdTnWlHVZ1sxmJgHKute6+HxWhLWVTV4jsX8/BLIDPgwoysGm2lZyEiBAWReAvCUFZV2ONWVdjjVlXZY1ZV2ON2VdjjVlXZY1s5lJgLLutS4+Hzq32RYb3v+v10jsT1k3Zg5Q1uVKQVmXY01Zl2NNWZdlTVmX401Zl2NNWZdlzWxmEqCse62Lz4e20fuh8pmXvEZif8q6MXOAsi5XCsq6HGvKuhxryrosa8q6HG/Kuhxryrosa2YzkwBl3WtdfD60/PQEVC9+0Gsk9qesGzMHKOtypaCsy7GmrMuxpqzLsqasy/GmrMuxpqzLsmY2MwlQ1r3WxedD4+RfofameV4jsT9l3Zg5QFmXKwVlXY41ZV2ONWVdljVlXY43ZV2ONWVdljWzmUmAsm6jLkuXvYKr5y62Wh4zdgyunzEJ+Xk5XT19PtRddxMafj3NRiQ2cUuAB8y5JeeuH2XdHTc3vSjrbqi560NZd8fNba9h5flYX92MkNsA7GebAGXdNirPDSnrnhE6CjC8Ih9rq5od9ZFqrMbGFwkkmgBlPQ7hd97/DPMXLsGCOdNQVlqMWxcusXpcMnlCt6zXLLwXzSedkuhaZXR8yrps+Snrcrwp63KsKetyrFUmyrocb8q6HGvKuhxrlYmyLsub2cwjQFmPUxMl5ztsOxQnjjvEahkt72plvfLvz6HtwIPNq24ajYiyLltMyrocb8q6HGvKuhxryrosa8q6HG/Kuhxryrosa2YzkwBlvZ+6NLe04dp5izFm3926ZX3V12tx5exFuGnWuRi1/XBrG/yGt1eic+QoMyucJqOirMsWkrIux5uyLseasi7HmrIuy5qyLsebsi7HmrIuy5rZzCRAWbch6yePPwyj997FahlL1tHeDmRlmVlhjooESIAESIAESIAESIAESIAESCDlCFDWbch6vyvrKVdyDpgESIAESIAESIAESIAESIAESMB0ApT1OBWKe886YOwplaZPPifj4zZ4J7S8t+U2eO8M7UbgNni7pLy34zZ47wydROABc05oeWvLbfDe+DnpzW3wTmh5b8sD5rwzZITUJkBZj1O/uKfBU9ZF/gZQ1kUwdyehrMvxpqzLsaasy7FWmSjrcrwp63KsKetyrFUmyrosb2YzjwBl3UZN+n3OOmXdBkHvTSjr3hk6iUBZd0LLW1vKujd+TnpT1p3Q8t6Wsu6dod0IlHW7pLy3o6x7Z+gkAmXdCS22TUcClHUNVV1b1awhCkP0R4CyLjs/KOtyvCnrcqwp63KsVSbKuhxvyroca8q6HGuVibIuy5vZzCNAWddQE8q6BohxQlDWE884MgNlXY43ZV2ONWVdjjVlUGyWZAAAEHJJREFUXZY1ZV2ON2VdjjVlXZY1s5lJgLKuoS6UdQ0QKeuJh+ggA2XdASyPTSnrHgE66E5ZdwBLQ1OurGuAaDMEZd0mKA3NKOsaIDoIwZV1B7DYNC0JUNY1lJWyrgEiZT3xEB1koKw7gOWxKWXdI0AH3SnrDmBpaEpZ1wDRZgjKuk1QGppR1jVAdBCCsu4AFpumJQHKuoayUtY1QKSsJx6igwyUdQewPDalrHsE6KA7Zd0BLA1NKesaINoMQVm3CUpDM8q6BogOQlDWHcBi07QkQFnXUFbKugaIlPXEQ3SQgbLuAJbHppR1jwAddKesO4CloSllXQNEmyEo6zZBaWhGWdcA0UEIyroDWGyalgQo6xrKSlnXAJGynniIDjJQ1h3A8tiUsu4RoIPulHUHsDQ0paxrgGgzBGXdJigNzSjrGiA6CEFZdwCLTdOSAGU9LcvKiyIBEiABEiABEiABEiABEiABEkhlApT1VK4ex04CJEACJEACJEACJEACJEACJJCWBCjraVlWXhQJkAAJkAAJkAAJkAAJkAAJkEAqE6Csp3L1OHYSIAESIAESIAESIAESIAESIIG0JEBZd1nWpctewdVzF1u9jxk7BtfPmIT8vByX0TKzW01tPabMvA0rP11tAbjv9pkYvfcufcLor/2qr9di8mXzsW5DVXf/PXYdiQVzpqGstDgzAfdz1U7Zh0PdunAJdth2KE4cdwiZ9kPAzfuDmsPz7n4Ys684t8ecjYwVTnn2qeNwyeQJrEEMAu+8/xnOmjrH+k2894Do94147TMdeHNLG66dtxhPv7jCQnHjZZP6fS9Q7xd/emhZN7bI9tHvQarRsCEVWDh3OkZtPzzTUfe6fqfso9834tUq04E7ed+InrvR7xv8POJsNrn9PBL+O6Gy8TO4M+ZsnVoEKOsu6qXe1OcvXNItguoDiXrxw7N9mOE32TH77mZ92FP/c7ty9iLcNOvcmB/U4rWP19/+yNK/ZTyWsQhEfvDjh77+54jT94fIDyqxZFGxX/HuJ/wwYuOvZvT7QDx2qlZr1m7sFk71Xr5+YzVZ98E68v914Xk7ffKEmF+yqveZBfc/gV9OPNr68iksMLNnnWu1j9ffRrkzqokX9mTd/1Tx+r4R/T7DzyP2/2q6+Tyiokd+ecUFM/u82TI1CVDWXdQtenUx+sO5i5AZ1yV6FTH6DTsaSLz2/J+j/SkUj2V/kbiyHp+z2/eH/lbWKevxuasW6kPzV2vWd39x6vR9ge/lfXNWwjfr5kWYccHE7i9UnXxRHf0eT4G0N6dVK93s7WfOjJa63zecvu9kBuXYV+n280j4/7MqKv//mMkzKDOunbLusM6xpJJvzA4hAoj1obi/D37x2nM7q/0axGNJWbfPMrqll/cHu9vguQW+7/pEv4c4FcJ4K/HuZ0bq94z1/zknvKJrEb31lVvg+54jXtlH72pI/dmo9wq8vm9E78jh5xH79XHzeSSyXk7eg+yPii1JwCwClHWH9Qh/GD95/GHdW/8o6w4hbpH1R59c3mO7aTxZd9Ke21n7ron6n6MTlpGRuLLe/1z38v7Ql6xHZgwLzoTxh/HcgBiliJ6fTmSd7+P9z+1Y89PJB+V4q/Aq1pInl/OckRhlcMs+8gsR3r7U/5d8kWex2H3fCN8eFu+sC34e0fd5JHoXhJP3IOefVNmDBMwgQFl3WAcvK2cOU6V1c6ffpjptb0d80hpwPxfnlCVl3f5M8fL+YHfORn9YsT+69G/pdoWMK4/x54aX1V07shJrq3f8UWVGCy/sFaF4t5llBsX+ZV39NnzukF1ZD0eMd/uM3ff2TKyD088j0YdWhpnxvvVMnD2Zc82UdRe1dntPqotUadvF6X1KXtunLUgXF+aUJWXdGWS37w92P9BR1vuuh5t7Tynq9ua32/um7Yi6GgFlve86uGUfGZHvG3rfNyKjxZu7dt/b7f1NTK9WXj6PKBJcWU+v+cCriU2Asu5iZjg97dlFirTvEu8E0OgP0PHaP7f8bew4YhtXBx+lPeyoC4zHsr+t1twGH3+2xHt/6Gu7b6wPdKpWjz/9Mk465lDr0ZBOV3zijza9WkSvQEZ/kItmz63vzurf34nksd434t3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", 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QAAmQAAmQAAmQAAkUIgHKeiFmlW0iARIgARIgARIgARIgARIgARLIawKU9bxOHytPAiRAAiRAAiRAAiRAAiRAAiRQiAQo64WYVbaJBEiABEiABEiABEiABEiABEggrwlQ1vM6faw8CZAACZAACZAACZAACZAACZBAIRKgrBdiVtkmEiABEiABEiABEiABEiABEiCBvCZAWc/r9LHyJEACJEACJEACJEACJEACJEAChUiAsl6IWWWbSIAESIAESIAESIAESIAESIAE8poAZV0gfesbugSiMISuAWMrQ9jYSJ5Sd0NlqR/hSAJd0YRUyFEdx+/VUVbsw9aWyKjmINn4MRVBNLdFEEsYkmFHbayigAd+nwfN7dFRy0C64XXVIfDfeTmqZUU+JA0D7V1xuaCjOJJH11BTHsCmprBrKKjfGb5IgARkCFDWBTjyH3EBiAAo6zIc7VEo67JMKeuyPFU0yrosU8q6LE8VjbIuy5SyLsuTsi7Lk9FIwG0EKOsCGaGsC0CkrMtATItCWZfFSlmX5UlZl+dJWZdnSlmXZUpZl+VJWZflyWgk4DYClHWBjFDWBSBS1mUgUtaHhKMVlLIuj5cj67JMKeuyPDmyLs+Tsi7LlLIuy5PRSMBtBCjrAhmhrAtApKzLQKSsDwlHyvrQYaWsy7KlrMvypKzL86SsyzKlrMvyZDQScBsByrpARijrAhAp6zIQKetDwpGyPnRYKeuybCnrsjwp6/I8KeuyTCnrsjwZjQTcRoCyLpARyroARMq6DETK+pBwpKwPHVbKuixbyrosT8q6PE/KuixTyrosT0YjAbcRoKwLZISyLgCRsi4DkbI+JBwp60OHlbIuy5ayLsuTsi7Pk7Iuy5SyLsuT0UjAbQQo6wIZyUdZ9737NoJ//ytCD/8N3k8/7peCUVqKyMHzEDn0CETmHYb41B0FiGUOwUe3yaPlbvCyTLnBnCxPFY2yLsuUsi7Lk7Iuz5OyLsuUsi7Lk9FIwG0EKOsCGckXWfeuWI6ie+5C6B9/g2f1qkG1PFE/BeF5hyF6+FEIH3IYjJKSQcXJdBJlXQxlTyDKuixTyrosT8q6PE/KujxTPrpNlillXZYnZV2W51BFe+3t5Tjrgutw568uw757zBS7TFc4ip/ccAfm7L0zTpo/d8C4n65ajysWLcG1l5+DHSfX9SqbSxyxygsFUu1aeOmNOO/ML2VlIHTJYQ1DWRfAnQ+yXvrzq1F60y96Wpuon4zISfNgHFCM5KQQ9HgntGQntIT602G+x4unIxGZDP3tVvgefRP+l1+CFgn3ItZxxlno+MHFIiPulHWBmzEtBGVdlillXZYnZV2eJ2VdnillXZYpZV2WJ2Vdlme2aA8++gKuvP6OXsWuufTsASWxqaUNl/98CS4575Q+kpztetm+z0WyR0LWb1q81GzCRQsXZGvKdn2v2nbD7+7Doh+fg8ry0u2K5baTKesCGXGzrPvfegMV3/02vB+tMFva8cNzgCNL4Iu9CH/L645bn/RVIFq+P4ymauCtDvge+QDe9z/pOb/rhC+j/cJLENttD8cx0wtS1geNrt8TKeuyTCnrsjwp6/I8KevyTCnrskwp67I8KeuyPLNFU7L+yhvLcPUlZyMU9GMgAbZiqXM+X7NxyIU1W90LWdZV2xVn9co2wyAbJ7d9T1kXyIgbZV2NgJdedw1KfvdrIJFA4ow6JL9UAV90Wa8Wh2uORqx878wUkhH4W9+Cv/lVaIn2PmXi2gwYL3jhu/WDnu8ic+eh/YJLod5zfVHWcyWWvTxlPTujXEpQ1nOh5aws16w74+S0FGXdKSnn5Sjrzlk5KUlZd0LJeRnKunNWEiXTZV2Nmp972S9x8cIFGae3WyPfXz1hXs/36TFUvewj0Omj9/ap86pce2cY7e2deOTpV3DlBd/Am+991DMN3qrPex9+Zjb3uMPn9OlY2HnGVNz/0DPm9986db7ZiZBphN6auq/K7TprB9xy3YX9jlpnqrM6T039t15WXdTPauq+qr96WTMTrLoff8QBuHPp49iwqaFX/Qdqm4qjOiPuefApXHLuKWZHSqG8KOsCmXSbrHs2bUTVycfBt/xDoB5IXj0Gun+L2dKkrwrhsfMRGTMf4ZojYHicrTn3tX8Af/N/4Gt6Ff6WV+HtWN5DLqlXIbFiInw3vQu0pg7H9tgL7T/4IbpOONExYcq6Y1SOC1LWHaNyVJCy7ghTToUo6znhylqYsp4VUc4FKOs5IxvwBMq6LM+Cl/XbbgPWrpWF5iTat78NTJzYp2SmkfWBpl8rwVz063tw+fmn94hu+rR4+891tTX4yyPP4+TjDjGFU11v6cPP9YiykvVHn/kPFl9/sTmlPl2ylWCrl1oXb8ntghPmmaPN6Wu77R0Ns2fu0Gvtu4pz+aIlPdcZaHZA+hR09fMnK9fi6Hn79eqEUPWy6jtubJXZSWBve1VFqdnxUV831uxgUC/7enzV9imTxvWMnN/z4JOYf/icfrk6SXM+lKGsC2TJTbKudnav/vJ8eNavQ/y86fAelNrpPRGchJbZv0G4+kiBFgN6dDOK19yOojW3wRPZ0BMztmU2vLeuhLa8wzwW33G6OT2+85Qzsl6Xsp4VUc4FKOs5IxvwBMq6LE8VjbIuy5SyLstTRaOsyzKlrMvyLHhZP+AA4JXUCOywvv79b2DOnD6XzLRmfaBR5/5Ge+3iqcT4gYef6xkBt180fep6+hrwbGvW7eUzTYO3vj/3zBP7iLGqh7XWfKA14elib69/en37q4OS8EMP2rPPLAWrc+Sy75+B626+G5bkZ7oXFIsbbrkPp590hPjeAMN676VdjLIuQN8tsu57/11Un3Qc9FgDEleNh6cuJdGR6sPRtPufoNadi7+MOEKb/46iVYsRaHqxJ3w8vBP0+5qgP7UFMIDovvuj+bdLEN9hWr9VoKyLZweUdVmmlHVZnpR1eZ6UdXmmlHVZppR1WZ4FL+suH1lX2cw0rd3Kcn+ybhf0W+76W68RY2sEXE0DV6/xtdU9I9xOZF2Vuf3eR3tuNGuqeyZRtkbMM8m6PYYKNlCnhL0Tw14uk6yrnduttlmVVFPhM8m6nVM4EjFl3prin76xH2Vd9u8WV0VLv6nTH6tgvwHtaz+sRrhB1v2vvYLqr34R2sR2GD8MQAtFzOq1zliE9ik/GBbevvZlKFr1OxStv8/cWV69Esla6EvboT2cGmlvvXoR2r+buT6Udfk0UdZlmVLWZXlS1uV5UtblmVLWZZlS1mV5Frysy+La7miZxHygUedM0+BVJazp30qk1ai6NU3eEvVFl59jTmXPdWRdOc3GzY09o/TbM7Jun3KeCzj7NTPJen/LBjKt/++vIyRTxwNlPZcs5VFZdWP84b7HoHqUMu3qqHp0bly8tNdaEdU8+yMIRlrW9eZmjDlwT3gqNwE/1gFv0pz23rTHPYiW7zPs2VCb0RWt+xOKV90Kb2dqGr7RUQTttk7gVSC6z35o/s0SxKdN71U3yrp8qijrskwp67I8KevyPCnr8kwp67JMKeuyPCnrsjyzRcskjwONrGfaYM66hjrviedew4wdJ/Wabm5/Fnr6FPNsI+v279PXh6cLrv1ntVbevj4809T29DXiVjvs6+TVsfTN8uy756fXSZW31rjvt+esXtPg09fU29fyZ5J1bjCX7e4tkO/Te3XSNzNIl3fV7JGW9apTT0LwzcdhXO+FFowjPPZ4NO96G5LeshHPSqDhGZStuAK+tndS0v6xD9odMWA10PbfP0PbBT/sqSNlXT5dlHVZppR1WZ6UdXmelHV5ppR1WaaUdVmelHVZntmiZVqznmnWrT1Of5uzpY+iW+fYZ/zuOnOqefjay88x12Fnk3X7FHo1fb6msgxKgtUgY/r0ehXXmk2cbTd4VdaaTp/OKD2unYd9B/f+doO3pvlbG8xZ09zVdexT3Z3MhFbn8NFt2e7iPP/e3pOU3stk9f7Ye7xGWtaL7rodFRd/H8YiD7T6BMJj5qNxrz+7LgvFa29H6UdXQo81p+r2HID7gdjUPdG0+E5zlJ2yLp82yrosU8q6LE/KujxPyro8U8q6LFPKuixPyrosz6GIlr77+1BcoxBiZnsM3kBtHGgpQr6z4QZz3Rm09wql9zLZn42YadpFMmmMzH3w0UfQ99wDODsMHASgZBqSx7wJeJ09jm3YKx1rgfb+1dA++i1gxICwBvzNAJ4NwLj8JzAuvRSaxwPDGCGeww5k6C+oaeb+ft3/GfrrjYYrmEx5i4qlWopnNJ6E6kwZ7S/F0/yV5z0qdivouoYR+3derBXuCcR7VD4XUn+PStVM/c7w1ZuA9czy9H2xyGkbgcHKevoj6QqNKWU9LaMDPXNQFc0k6xsau4b/vojHMWbeHHgnLAO+CRh6EbYe9C/Ei2cMf11yvKK38xOULrsUwa2Pp87cDOBeIBbZE967/4SNdTvkGJHF+yNQUeJHJJJAVyxBSAIElAyWFvnQ0JrawJGv7SdQUx5ES3sEscT22aWSU0sCtr9W+RuhyO+Bz+dBS0c0fxvhspqPrwphRP6ddxkHqeqUhnxIGgY6wnGpkKM6jhpZry4LYHNz2DUc1O8MXyRAAjIEKOsZONrXqbt1zXrxbbei/LaLgKs0wGOYm8l11X5Z5q4YpiiBhudQ/uEF8HZ8lLriCrV4Bmj7+k/RduGlw1SLwr4Mp8HL5pfT4GV5qmh8zrosU06Dl+WponEavCxTToOX5clp8LI8GY0E3EZg1Mu6Gil/+sU38J0zTjBzk77Zgxt3g9ciYdQesAP0y5qBcqCjfiFaZv3SbfeWs/oYCRSv+T1KP7oGeqIZSAJ4Hoi/MwtNv7wbsZmznMVhqYwEKOuyNwZlXZYnZV2eJ2VdnillXZYpZV2WJ2VdliejkYDbCIx6Wbd2P3zk6Vd6cuP256yX/OaXKItcAcwGohX7Y+v+z7rtvsq5PnqsCWUf/QRFa29LnatmGf/dg7aZP0bbBZcAXm/OMXkCQFmXvQso67I8KevyPCnr8kwp67JMKeuyPCnrsjwZjQTcRmDUy7pEQobz0W1aZwfGnTkV2rfbYSCEzfPeQyJQJ9GMEY9h7gbv+RyxF89FoPX5VH02A4lnp6Dx4vsR22XXEa9jvlWAsi6bMcq6LE/KujxPyro8U8q6LFPKuixPyrosT0YjAbcRoKwLZGQ4Zb3kpl+grOpqYDzQssvN6Jj4LYEWuCOE/dFtwS2PovyN78KjbTIrZ7yhozNwLlrP/zkMn88dFc6DWlDWZZNEWZflSVmX50lZl2dKWZdlSlmX5UlZl+XJaCTgNgKUdYGMDJes662tqP2vqdDO7EJCr8WmI1cK1N49ITI9Z71s2dUoWfOLnkomnx2Dhq//g6PsDtNGWXcIymExyrpDUDkU4wZzOcByUJSy7gBSjkUo6zkCy1Kcsi7Lk7Iuy5PRSMBtBCjrAhkZLlkv/cXPUDrpOqAaaN75N+icdLZA7d0TIpOsq9p5wmtR9fwC+PB2qrLrgc6ub6D5vFvdU3mX1oSyLpsYyrosTxWNsi7LlLIuy1NFo6zLMqWsy/KkrMvyHKpo6c9Ztza03rCpAVde8A28+d5HmLP3zjhp/lyxKmR7bvmDj76AV95YhqsvORuhoL/XdTM9qrq/iuVSVqxxDgKpJ3qp10ULF/Rb2tq7TIK9ut6rby/HLdddiMryUgc1dFaEsu6M04ClhkPW9aYm1H5vB2jfiCCpj8XGIz4FNI9A7d0Toj9Zt2pY9PkDKH/zPGjFHeahxIfVaPzSQ4hN3cs9jXBZTSjrsgmhrMvypKzL86SsyzOlrMsypazL8qSsy/LMFk0J7pXX39Gr2DWXnj2gZCtpvvznS3DJeadgx8l1SBdESWG0V4yyPryyrtinP/I72/3k5HvKuhNKWcoMh6yXXfNjlOz4q9So+i63oHPimQI1d1eIbLKuaqslw6h45CyEtL8Daul6l4auxNfQdPLt6lt3NcgFtaGsyyaBsi5aQCnCAAAgAElEQVTLk7Iuz5OyLs+Usi7LlLIuy5OyLsszW7T00Wgno8rqnM/XbOwZ4c0m0dnq4PT7bNcZaGTd6TVUOScMcomXz2UV80W/vgeXn3+62Og6ZV3gjhhqWdcbG1H7gynQzogj4ZmATYcvL7hRdZUGJ7Jupcu/6hVUPXki9Emt5qFkQxmaDr4fkUmHCGS0cEJQ1mVzSVmX5UlZl+dJWZdnSlmXZUpZl+VJWZflmS1auuBmE2Jr1PyrJ8zDvnvMhFX+vQ8/My81vrYa/3vN+bjr/sd6psGr0dmNmxt7pqdb5yw4YZ45gm9NqVfn7zprh17Tru3T6622pD+S2jputaWkpAj3P/SMedgqm0nAVb1uv/fRHkTHHT7HrOP6TVtxxaIlOP7IA7Ho5nvM77916vx+p58PdF2rrccfcQDuXPq4GWvx9RebMxLssxqsa1vT9+3fWUz+cN9j5vnWNPj0WRGqrbNn7oCf3HBHryUI/V3HYpKtnYrTwfvvZuZb4kVZF6A41LJeftXFKN7lFqACaNp1CbrqTheotftC5CLrKUNPovKucxAK3gdUGUASCPuOQ9O8O2B45daKuI+U8xpR1p2zclKSsu6EUm5luGY9N17ZSlPWsxHK/XvKeu7MBjqDsi7Ls+Bl/dPbgM61stCcRNvx20DRxD4lM42s3/C7+7Dox+dkHEnNNNKaLviZpsHb11vbp1YrUb980ZJeAmuN2qdLfbaOBEtKLUFXsW9cvNSU/8bmNlPAr738nB5RXvrwcz0dA3YOStYXXnoj5h+2vynG23NdBfzcy36J+rqxvdbSq+vZr29nkv7d+ytWIhQM4KHHX+qRdSXa9jypnz9ZuRZz5+zRS9btDNS6c3vHidN2ps+kcHK7DVSGsr69BNV+Zw1dAlEyh/Bs3oSxl0yDdloCCb0Om474CND0IbveSAbOWda7K+tf9gaq7j0B+pxmwAsY0RBad78JHfWFt1Qg1/xQ1nMlNnB5yrosTxWNsi7LlLIuy1NFo6zLMqWsy/IseFl/4gCg4RVZaE6iHfVvoGZORllPX7OePrptP0lJ4T0PPoVLzj2lZxM3J7JulSkvLcaMHSf1jA6nb5pml9BPVq7rkW0lmk6k2b7BnD2WXdbramsyjj5b51oj65bYp88mSIc40OyEaVMnmLJ+8cIFPSPTmTozlFQ/8PBzuOz7Z+C6m+/OuDmfnVV6J4dVp/TYmfhanRbqHHsHRn/tVNd68T/vDrixnZNb0CpDWc+FVj9lh1LWy66+FCW7/AYoBZp2uwNd408RqLE7QwxW1lVrtEgYFb/4LkLl9wLds05i/l3RtN/diBdPd2eDh6FWlHVZyJR1WZ6UdXmelHV5ppR1WaaUdVmeBS/rLh9ZV9nMtqv6YGRdxU0f5VXH0qeiq2NWZ4GSdSWw1u7u0rJuTeVPb/P2yrpdegeS9Uee7t1po6bCW7Jur5v1G5Yu3pmmygcDgV4dEekbxNk3B6Ssy/7dNazRhlLWx583BtqXOpDw1GPTEcuHtV3DfbHtkXWrroFnn0bVktOgndgGlKeOtk29CO3TfgxDLxruJo349SjrsimgrMvypKzL86SsyzOlrMsypazL8ix4WZfFtd3RMol5+hRr+0UGOw3eksS6cTVob+/sEfCBdhtPl3tpWbc/3ix9GryTEWeLy2BH1jMJ+UA76Q/06Dbru3PPPLGPrKt6Wuvc7Wv3Kevb/eszcgGGStaD/3wMVQ0nA1VA0x7/h67aE0eukcNwZQlZV9VUj7mruPCbCFb9Ezg6VfGEpxatu/4vumq/OAwtcc8lKOuyuaCsy/KkrMvzpKzLM6WsyzKlrMvypKzL8swWLZOsDzSynmmqtJNp8JaUH3vYnD5rqu1r1lV973nwScw/PDVl3z6FPP3Z7ultG2j9faY169a0dxVHbcqmXvYN5gY7Dd5ej3Ak0mcavLpO+rp0xfUvjzyPk487BI8980qv9exPPPcqpk2d2GvNumKhXtamb/3Jevp0+fQ16046JbjBXLbfohH4fqhkfcxVc+E76HUkouOx6YRPR6Blw3tJKVm3ah366wOo+N/zoX2lBeieCR+uPgotu/wKidCU4W3cCF2Nsi4LnrIuy5OyLs+Tsi7PlLIuy5SyLsuTsi7LM1u0TM9ZT9+ZPJMUD/Totkzrpp3uBq+uZd953b5TvKrX6vWbe63/ttctF1m36qimoqsd7OfO2R0lRUFzBDp953gna9bt6/7ta/4Hmg2Qzt7+fHv78oBMu8Gn75Jv5czqeEifNWDVz55bJ+3ko9uy/QaN0PdDIet6Swtqb62DtoeB1qnXoX2n80eodcN3WWlZVzXXG7ai4gfnItj5CKA20S9Jtadt2pVo2/Hy4WvcCF2Jsi4LnrIuy5OyLs+Tsi7PlLIuy5SyLsuTsi7Lcyii2dc9q0eQFcJroOn42don9Xz3bNcZie+3h0t/9eUGcwKZHApZL7n9JpTV/TegARsP+xxJ/1iBmro7xFDIutXi0EN/QflVP4B+VCNwmLJ4IB6aipbZv0OkqnCfzU5Zl73nKeuyPCnr8jwp6/JMKeuyTCnrsjwp67I8hypatinpQ3VdqbjpI9MDPUc92zULVdaVqL/69vJez73PxsLJ95R1J5SylBkKWa+9YCY8x65GTNsdW9TjI0bBayhlXeFTo+zll1yA0LsPAt8GMDUFtav2K2jd+QYk/LUFR5myLptSyrosT8q6PE/KujxTyrosU8q6LE/KuixPRiMBtxGgrAtkRFrWvZ99grEP7gbsCjTv8lt0TvymQC3dH2KoZd0iEPrHQyj/4feh774VOEUDigwYnhK07fQTtE86t6CeY09Zl73vKeuyPCnr8jwp6/JMKeuyTCnrsjwp67I8GY0E3EaAsi6QEWlZL/3dtSidei2gadh4+DokfRUCtXR/iOGSdUVC7RhffskPEHrqz8BpAOaqh7UDsZLZ5tT4aPk+7gfmoIaUdQeQcihCWc8BlsOiYyqCaG6LIJYwHJ7BYgMRoKzL3x+UdVmmlHVZnpR1WZ6MRgJuI0BZF8iItKyP/dEu8B62EjHsjS1HvyhQw/wIMZyybhEJPv6IuQGdXrEVxkIPtAkJ09o7JpyJthmLkPR1P6w9PxD2qSVlXTZxlHVZnioaZV2WKWVdlqeKRlmXZUpZl+VJWZflyWgk4DYClHWBjEjKut7YiHF3TQR2BppnLUZn/dcFapgfIUZC1hUZc5T9Rxci9Nelqeeyf80L+ONI+qrQOuPn6JygcqDlB8S0WlLWZdNGWZflSVmX50lZl2dKWZdlSlmX5UlZl+XJaCTgNgKUdYGMSMp6yf/djLKqHwGGjg1HbTTXUo+W10jJusW3Z5Q9sRXGNwPQ9omYX6kp8c2zf494ycy8SwVlXTZllHVZnpR1eZ6UdXmmlHVZppR1WZ6UdVmejEYCbiNAWRfIiKSsj/nZvvDt/wFisb2w5fiXBGqXPyFGWtYVKTXKXnb5RSj68/3ATCB5QSn00jZA86K9/ly0Tb8yrzpQKOuy9z9lXZYnZV2eJ2VdnillXZYpZV2WJ2VdliejkYDbCFDWBTIiJetaVyfGLxkDzDDQtNMSdE09XaB2+RPCDbJu0Qo+/U9UfO870Bs3w/hKCXBCHJoWRiJQh9ZZ16Or9qS8AEtZl00TZV2WJ2VdnidlXZ4pZV2WKWVdlidlXZYno5GA2whQ1gUyIiXrRY/dgwrtHCChY8OxW2DoIYHa5U8IN8m6Ocre0oKyyy5E0QP3AZVA7Orp8FV/bAKNVB2Cltm/RTy0g6sBU9Zl00NZl+VJWZfnSVmXZ0pZl2VKWZflSVmX5cloJOA2ApR1gYxIyXrNTXPh3+V1xNr3xJaT/yVQs/wK4TZZt+gFn3oiNcq+dQuMAytgnOuDrm+BoQXQPvUitE+71PzsxhdlXTYrlHVZnpR1eZ6UdXmmlHVZppR1WZ6UdVmejEYCbiNAWRfIiIisGwbqFpcDU+NonvQ7dO58lkDN8iuEW2VdUdTa21H2s/9G8Z23AXoSiYWToB+0GZoRQSI0Gc2zbzVH2932oqzLZoSyLsuTsi7Pk7Iuz5SyLsuUsi7Lk7Iuy5PRSMBtBCjrAhmRkPXgvx9CVeupQETHhuObYOg+gZrlVwg3y7pF0vf2m6j4/kL4PvwARq0XiSvr4a38zPy6q/ZEtM66EYnAeNeAp6zLpoKyLsuTsi7Pk7Iuz5SyLsuUsi7Lk7Iuy5PRSMBtBCjrAhmRkPWaxcfCP+V5xLbuhi2nvyJQq/wLkQ+yblJNJFDyu1+j9PproTYFTB4xBvimAR1bzX0G1I7x7VMucEUCKOuyaaCsy/KkrMvzpKzLM6WsyzKlrMvypKzL8mQ0EnAbAcq6QEYkZH384kpoUyJoLbsO7QecL1Cr/AuRN7LejdazZjUqLvouAs8+DfiA+PlT4d1rpfltrGQWWna5GdGKA0c0EZR1WfyUdVmelHV5npR1eaaUdVmmlHVZnpR1WZ6MRgJuI0BZF8jI9sq6/8OXULPqKMAANhy1BYanWKBW+Rci32TdIhz66wMou+JSeDZvglEfROKK8fCWKGnX0DnhdLTudB2S/qoRSQhlXRY7ZV2WJ2VdnidlXZ4pZV2WKWVdlidlXZYno5GA2whQ1gUysr2yXvXH0xGs/SsSDXXYdNonAjXKzxD5KuuKtvmYt6suQ9E9d5nwk18cD5wShW40IOktQ9uMa9Ex8VvDnhjKuixyyrosT8q6PE/KujxTyrosU8q6LE/KuixPRiMBtxGgrAtkZHtlvfY3U+GZvgldyW+i6djfCtQoP0Pks6xbxP2vvYKK8/8L3o8/AgJA7NIZ8M1cYX4dLd/XfDZ7rGT2sCWIsi6LmrIuy5OyLs+Tsi7PlLIuy5SyLsuTsi7Lk9FIwG0EKOsCGdleWa+7vxioMLB19lOIThjZNc4COAYdohBk3Wp86a/+H0r/5yrzx+Re42GcG4Cn6HNA86Bj4nfQutNPYXhLB83K6YmUdaeknJWjrDvjlEupMRVBNLdFEEsYuZzGsv0QoKzL3xqUdVmmlHVZnpR1WZ6MRgJuI0BZF8jI9sh66MU/o7LzG0BUx/oT2gVqk78hCknWVRa8q1ai7JILEHzmyZS0H1sBnJaErrci4a9F68xfoGv8giFNGGVdFi9lXZanikZZl2VKWZflqaJR1mWZUtZleVLWZXkyGgm4jQBlXSAj2yPrVYu/huCUhxFv2AGbT3tfoDb5G6LQZN3KRODlF1F21eVQz2hHCEh+pxz6fi3m15HKuWjb6WeIVuw3JImjrMtipazL8qSsy/OkrMszpazLMqWsy/KkrMvyZDQScBsByrpARrZH1mtvnALP7M3oxJloPvoWgdrkb4hClXUrI6G/P4jS//kpvJ99AkwCjO+VQJuYmk0RHns8Oqacj0jlF0QTSFkXxQnKuixPyro8T8q6PFPKuixTyrosT8q6LE9GIwG3EaCsC2RksLKudbRj/AO1wHgDW3f/J6LjZEVNoGnDGqLQZd2EGY+j+O47UXL9teaj3nAwYJzlhxaMml+r57K3T/sRwtVHirCnrItg7AlCWZflSVmX50lZl2dKWZdlSlmX5UlZl+XJaCTgNgKUdYGMDFbWg0/9BVWJrwNxHevntwKaLlCb/A0xKmS9Oz1auAslt9yMkl/fCC3SBhypwTg5AC0QNkuoEfb2aVcgUnXIdiWUsr5d+PqcTFmX5UlZl+dJWZdnSlmXZUpZl+VJWZflyWgk4DYClHWBjAxW1itvOQ2hHf6GREs9Ni1YLlCT/A4xmmTdypTe2IiSm36BkltvBnwAjgCMBUXQ/J1mETXS3qakvfrQQSWXsj4obP2eRFmX5UlZl+dJWZdnSlmXZUpZl+VJWZflyWgk4DYClHWBjAxW1mtv3Ame2WvRFf8Kmo77o0BN8jvEaJR1K2OedWtRuuhqFC29F/AkgfkBGF/2Q/O1paS9/AC0TVfSflhOSaas54Qra2HKelZEORfgbvA5IxvwBMq6LE8VjbIuy5SyLsuTsi7Lk9FIwG0EKOsCGRmsrNfdXgJMTKJxh3sQnv5lgZrkd4jRLOtW5rwfrUDZT3+M4D8fM0fajS+VwviiDt2T2j0+WrF/90j7EY6STVl3hMlxIcq6Y1SOC1LWHaNyVJCy7ghTToUo6znhylqYsp4VUU4FKOs54WJhEsg7AqNe1rvCUfzkhjvwyNOv9CTvzl9dhn33mNnz84OPvoArr7/D/Pm4w+fg6kvORijo7/l+MLLuW/4GxqxUu4sBG45phKEH8+7mka4wZX0bUf+r/0bZlZfB/8ZrprQnvzoGmB+HrjWlpL18P7RPvyLrRnSUddm7lLIuy1NFo6zLMqWsy/JU0Sjrskwp67I8KeuyPBmNBNxGYNTLelNLG/5w32M498wTTQF/7e3luHzREiy+/mLsOLnO/PnGxUtxy3UXorK8FDctXmrm8KKFC7ZL1suX/hDF5b9DcnMVNn59rdvuixGpD2W9L/bgY/9A2f9cBe+K5YAHSHx9ErSjwtCNLd3Svo+5EV245uiMOaOsy97KlHVZnpR1eZ6UdXmmlHVZppR1WZ6UdVmejEYCbiMw6mU9PSFK3s+97Je4eOECc3RdyfmUSeNw0vy5ZtF0eVfHBjOyPubW/eGb+h4ijXPRcOrjbrsvRqQ+lPV+sCeTKLrvbpRedw0869eZ0h5fOAva3CZ4EhtT0l62d0raxxzTKwhlXfZWpqzL8qSsy/OkrMszpazLMqWsy/KkrMvyZDQScBsBynpaRj5dtR5XLFqCay8/B3W1NeYU+Tl779wj6/bv1cj7YGV9/B3V0CZ0oSV0LTrmXui2+2JE6kNZHxi7FgmjeMmtKPnV9dCbmwGvhuiFe8Oz73p4YuvNk2Nle6Ft2o8RHjPf/JmyLnsrU9ZleVLW5XlS1uWZUtZlmVLWZXlS1mV5MhoJuI0AZd2WEWv9uiXn1s9fPWFezxr2TLIejSdzy2t7E/wP1wAaED1+E1BSk9v5BVpaA+D16ojlyrNAefTbrNZWeH5xHTw3/xro6gJCfhiXfwHY5WNo4TXmaUbFnkjM/gn0iV9E0jCQNEYbpKFpr6YB6n+M4gkClSLs8+iIJ5Jq+47teiWShpmb0f5SCHRNQ5y/9GK3guqky/nfebGrF14g6/dU/c7ytf0EzP938uiIJXL8f9Htv3S/EdTvDF8kQAIyBCjr3RwtMR83tqpnPXq6vKuimWR9a0skp2yEnv0lijsvBzaEsPXbqQ3D+AKUCFWVBtDQmhvP0cpO37gBRYuuQfDuu4BEAkZZKWJXHgrPju/A07XKxJKs2AORGVeio+a40YpJtN0+r47ioBfN7VHRuKM5WEWpH+2dMXaACN0EQb/H7PRUTPmSIVBTHkCu/87LXLkwo6i/Q1UnclckUZgNHOZW6bqGihIfGlvd8++S+p3hiwRIQIYAZR1AJlG38A7FmvXqe45DoOZZxFbvii3n/EcmkwUQhdPgB5dE76cfo/SaqxD6x0NmgPj0nRD/r9nwTX4dnshq85iaFt8x+bycn9M+uBoV7lmcBi+fW+4GL8uU0+BleaponAYvy5TT4GV5chq8LE9GIwG3ERj1sp5p9NyepKHYDX7cXZOgj2tAR/u5aDn5RrfdEyNWH8r69qH3v/UGSn/yYwReftEMZBQVw/jRF4Cdl0GPpqbHx4umo2Pyd9E54TQYnpLtu+AoPJuyLp90yrosU8q6LE/KujxPyrosU8q6LE9GIwG3ERj1sq6mtS+89EZs2NTQKzffOnV+z3R46ees1/2jGPAZ2Fr/LKKz9nfbPTFi9aGsy6D3vfcOSv7fIoQe+weQTAKBAKIX7wV9z03wRj9LibxehM4Jp6Nj8vcQL54uc+FREIWyLp9kyrosU8q6LE/KujxPyrosU8q6LE9GIwG3ERj1si6RkFwe3RZc/iCqVp0BbNCx/qx2icsXTAzKumwqvatWouo3N8J7z91ANAroOiJnHQQc50cg8jxgxM0LRirnonPyf6Fr7AmA5pGtRIFFo6zLJ5SyLsuUsi7Lk7Iuz5OyLsuUsi7Lk9FIwG0EKOsCGclF1isf/iZC/vuRWD4Bm37wscDVCycEZV0+l+rRbdHV6+H59S9RfOdt0NrazItEjz4A8bPqEfA+B090k3ks4R9nSnvHxLOQ9I+Vr0wBRKSsyyeRsi7LlLIuy5OyLs+Tsi7LlLIuy5PRSMBtBCjrAhnJRdZr794VnjGfIrz6ODSe84DA1QsnBGVdPpf256wrUS/5wxIU3XozPJtTgh7bfTdELzgYvrFvwd/8snnM0P0Ijz0RHZPPRbSCyzTsWaGsy9+jlHVZppR1WZ6UdXmelHVZppR1WZ6MRgJuI0BZF8hILrJet7QSKI+gRf81Oo78tsDVCycEZV0+l3ZZt0cvvut2FP/mV/Cu/NQ8nJg4CR3/cz68k95DaPNfoCU7UjJfursp7V3jF8DQg/IVzLOIlHX5hFHWZZlS1mV5UtbleVLWZZlS1mV5MhoJuI0AZV0gI05lXY+3YtzT44BOYOO8dUhWVgpcvXBCUNblc9mfrFtXCj38V5Tc+Av43n/XPGQUl6Dr9K8g+eUaBMN/g7fzE/N40leJzgnfQEf9uUiE6uUrmicRKevyiaKsyzKlrMvypKzL86SsyzKlrMvyZDQScBsByrpARpzKesmrt6Ks6SIYn4aw4bzeu88LVCPvQ1DW5VOYTdatKwZeegFFd92O0F+3Lc2I7jsHsYUHwlO/HMEtj/ZULlxzNDqnnIdw9ZHyFXZ5RMq6fIIo67JMKeuyPCnr8jwp67JMKeuyPBmNBNxGgLIukBGnsl513ykIVv4d8Y9nYPP33hK4cmGFoKzL59OprFtX1rduQfGf/mCKu2dt6tnsyapqhM8+EcbhQKjtr9BjjebxRGA8Ouu/g3DNkYiV7SVfeRdGpKzLJ4WyLsuUsi7Lk7Iuz5OyLsuUsi7Lk9FIwG0EKOsCGXEq62Nv3QXeqSvR1XgKmk69Q+DKhRWCsi6fz1xlvacGySSCTz2Bojt+j+AzT6ae165piMw7HPFvzYS/9Dn42t/vKR4vnomuutPQWXcqEsEJ8g1xSUTKunwiKOuyTCnrsjwp6/I8KeuyTCnrsjwZjQTcRoCyLpARp7I+/vZKaBMjaK7+PTr3OUPgyoUVgrIun89By7qtKp41q1F05xIU3/NHqJF39UrUTUD0+wdC37UZgZYne1U8UjUX4bpT0DnuKzA8JfKNGsGIlHV5+JR1WaaUdVmelHV5npR1WaaUdVmejEYCbiNAWRfIiBNZ19rbMf75sYAX2HDEFhieYoErF1YIyrp8PiVk3V4rtaa96I4lCPz7pZ7D4ZOOR+KUafCWvoVA44tq4rz5naGHEB57PLomnIZw9RGA5pFv4DBHpKzLA6esyzKlrMvypKzL86SsyzKlrMvyZDQScBsByrpARpzIevDlv6Cq7etAiw/rF7QIXLXwQlDW5XMqLetWDb2ffIzi225FaOk90FtbzcPxHaej65yvAQd7EWx8CL7WbfsyJH1j0Dl+gSnusbI95Rs6TBEp6/KgKeuyTCnrsjwp6/I8KeuyTCnrsjwZjQTcRoCyLpARJ7Je/n/no7j6NiQ21WHTN1KPw+KrNwHKuvwdMVSybtVUC3eh6IH7UHTnbfC9s03O2xd+D9GTvgBf2TsIbVgKb1fqee6m1BfPQFfd6eiccLq5SV0+vSjr8tmirMsypazL8qSsy/OkrMsypazL8mQ0EnAbAcq6QEacyHrNzQfDv9MbiDbNxdZTHhe4auGFoKzL53SoZd1eY/9bb5gb0oUefABaJGx+laifjM6Tv4b4SXvAh38htPHP8EQ3dZ+mIVJ5sDna3jXupLxY305Zl79HKeuyTCnrsjwp6/I8KeuyTCnrsjwZjQTcRoCyLpARJ7I+7leToM9qQLvvYrQedo3AVQsvBGVdPqfDKetW7bW2NhQ9uBSh++6B/7VXehoV231PdH1lARLHTEKg43GENj4ELdFmfm+ubx9zXGp9e41a3+6VhyEQkbIuADEtBGVdlillXZYnZV2eJ2VdlillXZYno5GA2whQ1gUy4kTW65YUA/UGts5+AtEJBwtctfBCUNblczoSsm5vhbmT/J/vQ+iBe+H9aEXqK48HkbmHoutrC4D9vAg0/A3BLU9AMyLm10lfjW19u7ue305Zl79HKeuyTCnrsjwp6/I8KeuyTCnrsjwZjQTcRoCyLpCRbLKuNuMa++nu5pXWH90pcMXCDEFZl8/rSMu6vUW+d99GaOm9UDvKezZtNL8yQkUIzz8e4QUnQpvRgtCGexFofKHntHjRdHRNOB1tO1wqD2cQESnrg4CW5RTKuixTyrosT8q6PE/KuixTyrosT0YjAbcRoKwLZCSbrBc/9nuU6xfAaCnChgVbBa5YmCEo6/J5dZOs21sXeP5ZhP58L0IP/RVaZ4f5VbJmDDpPWoDoSYfDW7PC3JjOvqN8pHKuuZN8ZMxRiFQfKg/LQUTKugNIORahrOcILEtxyrosT8q6PE/KuixTyrosT0YjAbcRoKwLZCSbrFfefjZCE+9DfMtUbD7jA4ErFmYIyrp8Xt0q61ZL1UZ0wUcfRuiB+xB49ilosZj5lfkYuK+egsiXD0bAeA6BLU/A3/pGDyBDL0akep4p7uGaY5AITZKHlyEiZV0eM2VdlillXZYnZV2eJ2VdlillXZYno5GA2whQ1gUykk3Wx/zv/vDNfA+RtqPQ8JW/CVyxMENQ1uXz6nZZt7dYb2pC6C/3m3/8r/2n56voPvuh/Qc/RGLWBPj87yOw+VEEtz4NLdHeUyZWMguRmqMRGXMMohUHwNB98jABUNblsVLWZZlS1mV5UtbleVLWZZlS1mV5MhoJuI0AZV0gI9lkfdyvJ0Cf0YS2wGVom3eVwBULMwRlXT6v+STr9tZ7V600R9vVjguNx8sAACAASURBVPLezz/bJuWzdkb4qGMRPeJwYCcjJe5bHoO3a1sZw1OCcPVhiI49JjXqHhgnBpayLoayJxBlXZYpZV2WJ2VdnidlXZYpZV2WJ6ORgNsIUNYFMpJN1uv+UAzUGWiY+Rgikw8RuGJhhqCsy+c1X2XdTsL/5usIPPYPBB97GL7lH/Z8ZZSWInzYUYgceQzi82bAH/4XApsfQ6D5ZcCIbxP8ktkIjzkK0THHIFIxZ7seC0dZl79HKeuyTCnrsjwp6/I8KeuyTCnrsjwZjQTcRoCyLpCRgWRdX7cG496dYV5l/THtgKYLXLEwQ1DW5fNaCLJup+JZtxahf/zNlPfAKy8D8W4p93gQ3Xs/RI46FpEj58JTvbp7uvyT0GMNPSGS3jJEqg5HZOzRCI85Bkn/2JygU9ZzwuWoMGXdESbHhSjrjlE5LlhXHUK2TnnHwVgQlHXZm4CyLsuT0UjAbQQo6wIZGegf8aJn70BF9Hswtgax4fRGgasVbgjKunxuC03W7YT01lYE//kYAo8+jOAz/4TWvm0Ne2LCRISPPAaRo4+FsXsR/C1PI7jpMfg6em/wGCvdzRx1N9e6l+8PaJ4Bk0BZl79HKeuyTCnrsjxVNMq6LFPKuixPyrosT0YjAbcRoKwLZGQgWa/8v4UIVf8J8XWTsfnsbVN4BS5bcCEo6/IpLWRZt9NSu8j7X3oeQTVd/vFH4Fm/rudrIxhC5OBDzFH32GF7wqe9icCWxxDc+kQv4IanFOGawxEedxK6xn0lYzIo6/L3KGVdlillXZYnZV2eJ2VdlillXZYno5GA2whQ1gUyMpCs1yz+AvxT3kRk65FoOP0hgasVbgjKunxuR4usp5Pzvf1mStyfeBS+99/t9XXkwIMRPeRQxPbaDdpOMfibnzY3qfNEtgm+OiFWvAuiVQchWn0wohUHIhEYz93g5W9RUNZloVLWZXlS1uV5UtZlmVLWZXkyGgm4jQBlXSAjA8n6uMWToE9pQLtxCVqPuVrgaoUbgrIun9vRKut2kp61axB65CEEnngUgRee6wM5ctBcRA89HIkD6uAZsxaBLY/D37zt0XHWCYngJMQrD4S37hA0BvdFrGQX+YSNwoiUddmkU9ZleVLW5XlS1mWZUtZleTIaCbiNAGVdICMDyXrdPaVATQINkx9CZOaRAlcr3BCUdfncUtZ7M9Xa2hB87mn4X3gWgWeegnpEnP1lFJcg8oW5iB7+BRh7l0EPrUSg8WX4Wt+EZkR6lU36qsxnukervoBo5YGIlu25XTvNy2c/PyJS1mXzRFmX5UlZl+dJWZdlSlmX5cloJOA2ApR1gYz0J+t6exPG/WsCEAfWH90CeH0CVyvcEJR1+dxS1gdmqkbdA88/g8BzzyDwwrPQG7b2OiFRNwGRQw5FdN4hSO5dgaC2HMHmfwFbX4Yeb+0t+noRohX7IFpxULfA7w9DL5JPaoFFpKzLJpSyLsuTsi7Pk7Iuy5SyLsuT0UjAbQQo6wIZ6U/WQ6/8CZUtC4GNAaw/s0ngSoUdgrIun1/Keg5MDQO+Ze+b8u5//lkE/v0vaJ0dvQLEZ+4M7cgj0HLAXCT3rIGv6034G/8Ff/PL8EQ29L6Y5oXabT5SeRBilQciUnkwkv6qHCo0OopS1mXzTFmX5UlZl+dJWZdlSlmX5cloJOA2ApR1gYz0J+sVfzkPRSV3IrFyIjb910cCVyrsEJR1+fxS1gfP1Nxh/vX/wN896u5/641tz3VXYb1eRPfa1xx5j8w7DMmdx8Lf9ip8jS8h0PQveDs/7nPxeNH0bnlXo+8HIh6aOvgKFsiZlHXZRFLWZXlS1uV5UtZlmVLWZXkyGgm4jQBlXSAj/cn6mD/Mha/udUTXzsXWbz0ucKXCDkFZl88vZV2OqdbRjuJ/v4jil56D8eST8K5Y3iu4ud79wC8gOu8wROYehsS08Qg0vghf08vwN/0L/rZ3ACPe6xy1w7zaad7cdV6NwKtN6zRdrtJ5EImyLpskyrosT8q6PE/KuixTyrosT0YjAbcRoKwLZKQ/Wa+9Ywo8Ezajo/MCtHz55wJXKuwQlHX5/FLWZZnan7Oub92C4DNPwf/CMwg+/ST0LZt7XSxZMwaRuYei88xvIVlaivjsGfA3vQJ/40vwN6up869DS3b2OidWsisSoXrEKvZGrGS2OY1e/VzIL8q6bHYp67I8KevyPCnrskwp67I8GY0E3EaAsi6Qkf5kve7+MqAijoYxf0Zkr/kCVyrsEJR1+fxS1mWZ2mU9PbIaaQ++8Az8LzyHwEvPQ+08n/6K7ncAovvsh9ieeyG2557QK5vN9e7muveml6HHGvqck/RVIFaymynu8bLdESvbFfHiWTD0wtiwkrIue49S1mV5UtbleVLWZZlS1mV5MhoJuI0AZV0gI5lkXYu3YfzTtUAE2HDEFhhFxQJXKuwQlHX5/FLWZZkOJOvpV/K//ioCL70A3xuvwvf2m/BsWN9XxKuqEN1jb8T23hexvfaBsXMJvMYKeNo+hL/1Dfha34eW7L3JnRUkVro7YqW7pAS+dDdEy/aC4S2VbfAwRKOsy0KmrMvypKzL86SsyzKlrMvyZDQScBsByrpARjLJeuid+1C58WxgtQ/rz2kRuErhh6Csy+eYsi7LNBdZT7+yeiyc2qTO985b8HW/ZxL4RP0URPdUAr8PonvtDWNGFbzRFfC2vgtfm/rzHjzhtRkblghONMU9NQq/G2JluyEe2kEWgnA0yrosUMq6LE/KujxPyrosU8q6LE9GIwG3EaCsC2Qkk6yXP3I+ir23IbFiPDad/6nAVQo/BGVdPseUdVmm2yPrmWpiCvybr/cW+I1pj4DzeBCbMQvRvfZBfO99zffEtInwdaTk3dv6Dnyt78HbsRyaEetzGcNTkhJ4NX2+bHdElciX7gJDC8jCGWQ0yvogwfVzGmVdlidlXZ4nZV2WKWVdliejkYDbCFDWBTKSSdZr7pkHf82riH5yELZ+90mBqxR+CMq6fI4p67JMpWU9o8Bv3dJX4Ddt7FXUCBUhtuvuprirEXg1hT4+eSp8rW/B1/4BvC3vwNf+Hvwtb0JLtGeEoDawi5fsjFjZ7oiMOdLc0G4kXpR1WeqUdVmelHV5npR1WaaUdVmejEYCbiNAWRfISCZZr/3TVHjGbkJH43fRcuoNAlcp/BCUdfkcU9ZlmQ6HrGeqsZou73vvHfjUKPzbb5oyrzf23owuWV6OrpO/hmR1DZITJiK20wzEZ+4CzdcMX/syU+S9ahp967vwdq3MCCZeNA2pPzsiUTwN8eKdEC/eAYngZFmQtmiUdVm0lHVZnpR1eZ6UdVmmlHVZnoxGAm4jQFkXyEgmWR//53JopTE0hu5GeO5JAlcp/BCUdfkcU9ZlmY6UrPcr8Lb17/6334R6nFz6K1E7DvEZMxHfaRbiM2chriR++mR4vGvM9e8+NY2+5Q342t8fEFa8eEa3yE9DokQJ/U6IFymRn7BdkCnr24Wvz8mUdVmelHV5npR1WaaUdVmejEYCbiNAWRfISLqs67EmjHtmAhAGNu7/KZLjxgtcpfBDUNblc0xZl2XqJlnPKPCbN8G7/EP4ViyDZ9kH8C3/EN4Vy6C3tvYpnqyqNtfCmyI/cxYS06cA9T5ooWZ4Oz+Fp+NjeDs+gbfzE+ixxn5BGnqRKe1xNRJvjshP7xmZT/hrsyaAsp4VUU4FKOs54XJUuK46hP4e0eooAAv1IkBZl70hKOuyPBmNBNxGgLIukJH0f8RDK/6Kys9PBz7xYP13+z5rWeCSBRmCsi6fVsq6LFO3y3p/rfWsXwff8mXwqj8fftAt9MuhdfZ9LFyyrAxxJfE7zUyJvPo8bSL0inZ4Oz6Dp/MTU+I9XZ/B17683zXxqi5qczsl8ObU+uJpSHS/x4t3RNJXY1aXsi57j1LWZXmqaJR1WaaUdVmelHVZnoxGAm4jQFm3ZeSmxUsxZdI4nDR/bq88PfjoC7jy+jvMY8cdPgdXX3I2QkF/T5l0WS978kcoSd6M5LJqbLxwjdty7tr6UNblU0NZl2War7KekYJhwLNmlTn67vtwGTzLPzDfvR9/BC0S7nOKUVRsTqGPzZiJxE6zzHcl88m6Mni7PuszGq9G5/vb3E4FT3rLTYn3Vs5A2L8DIiEl8zsiVrxTXj4vXvZOG3w0yvrg2fV3JmVdlillXZYnZV2WJ6ORgNsIUNYB2GX8mkvP7iXrr729HDcuXopbrrsQleWlUEKvXhctXNCvrFfffxwCFc8itmJ3bDn/327LuWvrQ1mXTw1lXZZpQcl6f2iSSXg//ywl7is+hHfZB+ZUeu8nH0OLZXg0XCCI+LTpqZF4c038zNT0+h12hCex1RyB93Z8nJpW3/kpvJ0r4W3/CJrRt0PAqlLSV4V40QzEi6cgoTa5K9oRSX8tkr5yJAITkfRXySa2gKJR1uWTSVmXZUpZl+VJWZflyWgk4DYClHVbRjKNrKcfS5d3dXr6yPrYu3aGd9zn6NrwNTSd9Qe35dy19aGsy6eGsi7LdFTI+gDIrDXw3g+XwbfsfXhXLIf304/7PcMcid9pJqKHHoH4tJ0AXUNi3HjEp+4IT3gdvJ2foQKfI7J1BfT2D82fvR0rsiZNrZNXG9slQvVIBOqQKJqc+jlY33Pc0INZ4xRiAcq6fFYp67JMKeuyPCnrsjwZjQTcRoCyPoCsd4Wj+MkNd2DO3jv3jLZ/umo9rli0BNdefg52nFxnnp0u6+PvGQOtpgOtxnVoP+Z8t+XctfWhrMunhrIuy3S0y3p/NM3Hyq1YDs/yZfB1r4n3rsr8eDgrhtqlPjF5KrxTJiE8YTJidRORmFSPxMR6GON1eOIb4O34CJ7uTe60RAc8kY2m5GvJzqyJTfoqkAhMQiI0EYngRCSD6vMkxEOTUoIfmpI1Rj4WoKzLZ42yLsuUsi7Lk7Iuy5PRSMBtBCjrDmT9qyfMw757zDRLZpL1zki8V16L7vcDXgPhXV5Gcua+bsu5a+ujAQj6veiK9ubp2grnQcWUXCaTBuJJIw9q6/4q6poGn1dHJJZwf2VHuoZdXdA/XAb9gw+gffwxtJWfQV+9GtrqVdA2bMhaO6OyCkZ9PYzJ9UjWTwYmT4ZRPxnJ+nqgrgwIdELrWgO9ay3QsRroXANPeC20zjXQutYBRt8p+70vqsMI1sIITYIRmgijqB5G8SQYRepn9T4RRkDtZq/+Zsqfl/ofd13XEIsn86fSAjUdyr/higJepP87L1DlURvC59HNtscSo+seHaqEa5qGgE9HOOqef5fU7wxfJEACMgQo6w5kPdvIelNbtCeKZ/OHKPvPHkAr0HR6RCZLoySKpgFlxX60tG/jOUqaPmTNLA55EY0lR93/uA8VUK9HQyjgQVsnO5S2l7G+8jN41q1F0YY1iH3yGbB6FfS1a+FZ9Tn0zwcelVfXNkJFprgrkU9OnIRE/WQYkycjUT/F/BlVGvTwWuhdq02h1ztTYq+H10HvWgU9sslRE5KhKUgUTUJSjc6HJsMoUtPvJyMZHI+kknpfpaM4w1VI/U+716OjIzy67tGh7FJRM5Ts/84PVy4L9Trq79CkYSASpaxL5FjNSiwt8qGlI1sHpcTVnMVQvzN8kQAJyBCgrA8g6+qrXNesF712Fyoaz4WxNogN3+r/2cQy6SusKJwGL59PToOXZcpp8LI8VbT+Ht3m2bAenrVr4Fm9Ct61a6Cv/hyeNavhXbsanrVqBL3vY+fSaxefPBUJJfATJppT7s33ifVITJqE+OR6cyTeG15rTq33mCK/2jymPnsia6DHmh01WD2iLumvRsJXg6SvGsmAeh8Dw1+DhPnZOlZtHldT9IfqxWnw8mQ5DV6WKafBy/LkNHhZnoxGAm4jQFnPIuu57gZf/veLURy4BYnPx2PTwk/dlm9X14eyLp8eyrosU8q6LM+BZD3blfTGRnjWroZ3jZL31eYU+14/N2bpLNV1mOvmTXmvR3zSJCQnqZH5yYirY5MnAz4Dnq7U9HpPeE3qc7fIm+8O18/3aYvmhdrxPuFXIl+DpHr3K5GvQTIwpvtz97sSfv8YQHM2rZSynu3Oyf17ynruzAY6g7Iuy5OyLsuT0UjAbQQo62mPblMJGl9bjcXXX9yzgVwuz1mvvusEBMY9jdi6vbHl7Bfdlm9X14eyLp8eyrosU8q6LM/tkfVsNVHPivd8/nlqJH7NauhrVsG7Zo35WUm9Z9NGIDnwNNxkVXW3yKc2vlPT7k2R794IL1mZmgKvx1qgx7ZCj26FHmtIvUfV++Ztn83vG+CJbhnw+fP9tcvwlJrSbkq9Xe7VMXP0PjWC7y+tha9oLJoioWyI+L1DApR1h6AcFqOsOwTlsBhl3SEoFiOBPCVAWRdInH03+LG/3xPeySvQ1b4ATSffKRB99ISgrMvnmrIuy5SyLstzKGXdSU3V8+Q969bBo6bYm1PuPzfX0XtWrUK23exV/Oi+c2D4fKlLaRqM0lIogU9WVMGoqkKyojL1c2U1khUV5mdDfVcSgh7b0i30SvC7P0e2pGQ/0i39sS3wKOmPNQBGbptHGZovNf3eFPtumVdS3/O5e0p+t/irKfzQPE6wjboylHXZlFPWZXlS1mV5MhoJuI0AZV0gI3ZZH7dkEvT6BrR5rkDbEVcIRB89ISjr8rmmrMsypazL8hxpWR+wNYYBz8YNqVF4tVZ+zRpzdL7XuvmO9sEB8XiQLFfyXtUt991Sb0l+t9SnxF/9KQfKPEAoAT2uRuwb4FEj9ZEGaFEl+OrzVvOYp3tkH4nsa/r7Vl6D4SlG0lsGw1va+92z7WfDVw7DW4akt7T3u8f6uQzQUjt+F8KLsi6bRcq6LE/KuixPRiMBtxGgrAtkxC7rdX+sAGqjaKy7D+FdvygQffSEoKzL55qyLsuUsi7L09Wy7qCpapM7vakJektz6r2pEXpzE7Qm9achday5+7j1ubkZ2mAlX9OQLC01R+dTI/apUXxL6tVovndMDTzVVWgLhaCVGtCKk0AwCt1ITdXXwt2j97Zp+eaU/Zha4y+3O7ehF/XIfEr8+4o9fOVpx+0dBOq7CleM9lPWHfwy5FCEsp4DLAdFKesOILEICeQxAcq6QPJ6yfpDRUAQ2HTQZ0iUjBOIPnpCUNblc01Zl2VKWZflme+yPlgaWiwGzZR4JfON3aKf+qw1poTfEv1e5VpaAGNwTxQ3H3VnjdTbRvQNNYpvn6ZfHgDKfTBKPECxBs0XhxZvhR5vM9+1eDs0tUbf/NyWek+kvrPKqGOSL3M6f9pov1rDbx0zPCFA98PwBGHoIaifzT/qs/lzEIanqPtn9dkqU+KompR1R5gcF6KsO0blqCBl3REmFiKBvCVAWRdInSXrnvUfo/a93YGYhvXHD2YKokBl8jgEZV0+eZR1WaaUdVmeo1XWB00xmYTe0rJN8LtH8e0j+v7WJnhampHY0tBTTmtphuogGMxLrck3rLX39hH98sq0dflVvcoZJV7opsR3C71N7C3RV9Kf+j5d9tugJVKdAZoxuHo7bauhJF9Xkl/ULfFBQA8h6SkC1HFPCMFQCTpjPhheJfypDgEo+ff20yFgdg5YHQW2DgN1Hl+grMveBJR1WZ6MRgJuI0BZF8iIJeuh1x9AZcOZMDYHseHrfMZ6rmgp67kSy16esp6dUS4lKOu50HJWtr/nrDs7m6XSCfT36Datrc0m+c29RvTtU/bVFH77aL/aVX+wL3NTvW7Bjxx2JKD3s45dHfcHYATVn1D3n9RnBHQgmAB8idQovzcKeGPQtAg0TxgawkBS/YlAS4ShJbtSf+Lqc2fqszqe6D7e8576frhfhhaE4e2eAaA6CJT826Xf/GzNEFAdCEHAU5w6ZpsxoDoSkt7uDoUMswmSvvLhbprj61HWHaNyVJCy7ggTC5FA3hKgrAukzpL1sn9ciRLfjUiuq8XGs1cKRB5dISjr8vmmrMsypazL8lTRKOuyTIfiOetqoz1ryn5K5lPT9M0p+o3W2vzu6fzqmBrxb2uTbViWaMmyspTcm7LfLf2BIIxQEIZ6tx2HdVyVL/IBQdUh4IUR0oEAAL8GqE3+AwbgNVBW5kFbNAJ4EtD0OOCJw9Bi0ONdgNU5kAxDi6vOge4Og3h354C988AYfMfH4GHqMDQ/oHthziLQfKklA+a7b9vP5ufucuZ798+aF4bHD0MBsd6t8zwBQPPB0K1YapaCD9DUu7f7XX3v31ZO86E4FEJS96EjoneX71vGPIcvRwQo644wsRAJ5C0ByrpA6ixZr7r3NASr/obYutnYcvarApFHVwjKuny+KeuyTCnrsjwp6/I8h0LWB1tLvWFrz8Z7WkcHtHAX1Ei91hXu9RnquPknAvOzKhO2/qSO95wbDgPmd13QW2XXxg+mnbl2EqDYA6PICy3khWF2Emip2QOqg0D5qS8J+A3Ak4TmSQLeOAw9AQ0xQI9B06PdswasGQT2TgGrw0DNJhjkkwoGA2EIzzGXHKgOA6uDIa3DwOoISATHIV46u3tDQg8M9RhC9UQCrfszPICujtl+Nj+nygDWOd1lVHkzRncZda5ZRnVCpJdRHSKp7we6htmWIXhR1ocAKkOSgIsIUNYFkmHJes2Sg+CvfwuRpvloOOXPApFHVwjKuny+KeuyTCnrsjwp6/I83STr8q3LHFHr6uwt9F1hwBT+NNFXnQTWcVXGYSeBLx5FoqMzfzsJQl6g2Acj4AdCfiDogRH0AQEvDLOjwAv4PYjtvhtgxKAlo6l3IwotGQfM9xiQjJp7CJif1V4C5rGI+XPqWHc5+3n2eAm1/0AMXsRgJGMwEql4Ztye8+MjsjxhuO7V9OuoZREp+VezDLqF3+pQ6OkUUB0E3R0P6R0C3WW8u/4YG0OHjVQz+lxXbcrIFwmQgAwByroAR0vWa38/HZ7J69AR/z5ajvuFQOTRFYKyLp9vyrosU8q6LE/KujzP0Sjr8hR7R+xvN/hBdRKo2QNm50J+ziQYatYqvnpygbm/ga7BUDMP/DrgUTMQPIBXLVHo/uPVYPh085hWljQfmwsvYKj/mVDbI6hz1Lv5x/ZZHdcM23dWGfVuQNNUjNS7ea5Z1gDMn7vfe46pn7vLIvUZWrL7vftnGNA8Q7xRYuAHaIrOBTweGIqdknv17lEdAYCh3m3HzTLWse7j5jHzeOq9Vxz1c1oMs0x3WfNzINhze1DWh+M3hdcYLQQo6wKZtmR9/B1joE3oQHPVrejc9xsCkUdXCMq6fL4p67JMKeuyPCnr8jwp6/JM3fboNlP005cSZJtJYHUSdC9D2DbzwLbcIBYHkknASKbek0loiUTPZ3Vc6z6ORPf3aeWRSGwr0x0nFcNIxQt3ySconyOqPRLMDgF7h0FqRv22jgbb5/RyVmfERgDNLgIxyEdMuqgFrAoJuIYAZV0gFZas191fAlQksXn2vxGfsLtA5NEVgrIun2/KuixTyrosT8q6PE/KujxTt8m6fAuHN2Kf3eCtjgHz3eocMLZJf/fxno4Cq8MgaesYsDoDesWwdSjYjqfipDoPzM4FW+dEr04Ke6eFVb67fgPXJRXf7KSwx7Y6PrqPb4vR3ZGRXt7qLOlVj+6628rqyaRaxYBIJJ6hPd31SO+E6W671TnTqy5Wh0ta3XvKWJ0wZoxtHTs9nTlK1FX9+CIBEhAhQFkXwKhkXetqw/jna4EksP7Y9tQUJL5yIkBZzwmXo8KUdUeYHBeirDtG5bggd4N3jMpRQcq6I0w5FaKs54Qra2E+ui0ropwKcIO5nHCxMAnkHQHKukDKlKwHlj2F6jVfBBq9WH/qyO9QK9CsYQ9BWZdHTlmXZUpZl+WpolHWZZlS1mV5qmiUdVmmlHVZnpR1WZ6MRgJuI0BZF8iIkvWSp29EWfxKJNdV4P+3d3exlpX1HccfoOpQUVDogFOnTKGJSGhiS0ggjUrE1AihWloINqUiFIjWi6KBSo1B0lAoFOGmGKSgbSyaabSNVCwXJGi9ICUkJLbUxGhKIYdh5GVweBmGt2Ydsk/OrDmz915n/yZZz1of7ox7P7PW5/+ctfd3v5yz7YKlwKrjW0Ks52cu1rOmYj3rKdbznmI9byrWs6ZiPesp1rOeViPQNwGxHphIE+uHbb24/PKhXy8vP3ps2X7hjwKrjm8JsZ6fuVjPmor1rKdYz3uK9bypWM+aivWsp1jPelqNQN8ExHpgIk2sH/7V3y1v2vTDsvvx95Yn/uTuwKrjW0Ks52cu1rOmYj3rKdbznmI9byrWs6ZiPesp1rOeViPQNwGxHphIE+tHfuWEctDRPyvPP3de2XHWLYFVx7eEWM/PXKxnTcV61lOs5z3Fet5UrGdNxXrWU6xnPa1GoG8CYj0wkSbW3/H3m8oBm3eUZzZcXZ57/6WBVce3hFjPz1ysZ03FetZTrOc9xXreVKxnTcV61lOsZz2tRqBvAmI9MJEm1jf901tLOeLl8sSWfyu73/WBwKrjW0Ks52cu1rOmYj3rKdbznmI9byrWs6ZiPesp1rOeViPQNwGxHpjI0hPPlU3fO6SUg0pZ+sBTpbxhQ2DV8S0h1vMzF+tZU7Ge9RTreU+xnjcV61lTsZ71FOtZT6sR6JuAWA9MZPuD95WND51Sys4Dy9IfPhtYcZxLiPX83MV61lSsZz3Fet5TrOdNxXrWVKxnPcV61tNqBPomINYDE9lx583lsJ1/Vl577M3lsfN/HlhxnEuI9fzcxXrWVKxnPcV63lOs503FetZUrGc9xXrW02oE+iYg1gMTefb2T5dDNvxdeeXRXy2PX/iTwIrjXEKs5+cu1rOmYj3rKdbznmI9byrWs6ZiPesp1rOeViPQNwGxHpjIrps+XDZs/Pfy0tJvl59/4oeBFce5hFjPz12sZ03FetZTrOc9xXreVKxnTcV61lOsZz2tRqBvAmI9MJGX/uaE8obN/11ezW7oWgAAEnRJREFUePqj5elz7wisOM4lxHp+7mI9ayrWs55iPe8p1vOmYj1rKtaznmI962k1An0TEOuBibx67ZHlwF/bXnaWy8vOD30xsOI4lxDr+bmL9aypWM96ivW8p1jPm4r1rKlYz3qK9ayn1Qj0TUCsJyZy48GlHLmrPLXxH8qu3zo7seIo1xDr+bGL9aypWM96ivW8p1jPm4r1rKlYz3qK9ayn1Qj0TUCsJyZy64GlvPm1su3E/yqvHnFMYsVRriHW82MX61lTsZ71FOt5T7GeNxXrWVOxnvUU61lPqxHom4BYX3Qizz5VyncOL2V3KUtnPr/oaqO+v1jPj1+sZ03FetZTrOc9xXreVKxnTcV61lOsZz2tRqBvAmJ90Ync/y+l/OSsUra/qSyd9/Siq436/mI9P36xnjUV61lPsZ73FOt5U7GeNRXrWU+xnvW0GoG+CYj1RSfyr1eV8vwXy6uPHlG2Xfh/i6426vuL9fz4xXrWVKxnPcV63lOs503FetZUrGc9xXrW02oE+iYg1hedyG1/VMrB3ygvP/rusv3CBxZdbdT3F+v58Yv1rKlYz3qK9bynWM+bivWsqVjPeor1rKfVCPRNQKwvOpGbTill433lxe0fLE+e951FVxv1/cV6fvxiPWsq1rOeYj3vKdbzpmI9ayrWs55iPetpNQJ9ExDri07kui2lvPPh8tyuS8ozH7lx0dVGfX+xnh+/WM+aivWsp1jPe4r1vKlYz5qK9aynWM96Wo1A3wTE+qIT+du3lrJpZ9lxyE3l+d+5eNHVRn1/sZ4fv1jPmor1rKdYz3uK9bypWM+aivWsp1jPelqNQN8ExPqiE7n5l0o57JWy/V3fLy9vOWnR1UZ9f7GeH79Yz5qK9aynWM97ivW8qVjPmor1rKdYz3pajUDfBMT6ohO544DlFZY+5G+sL0op1hcV3Pv+Yj1rKtaznmI97ynW86ZiPWsq1rOeYj3raTUCfRMQ64tOpIn1pw8qS+fuXHSl0d9frOe3gFjPmor1rKdYz3uK9bypWM+aivWsp1jPelqNQN8ExPqiE7njgPLa0lvLY5/YtuhKo7+/WM9vAbGeNRXrWU+xnvcU63lTsZ41FetZT7Ge9bQagb4JiPVFJ3LHAeWVR7aUx//0oUVXGv39xXp+C4j1rKlYz3qK9bynWM+bivWsqVjPeor1rKfVCPRNQKzPMZFv3/WD8oXrbl++5RmnnVyuuuyCcvCGN75+zzsOKLsfO6U8cf49c6zkJtMExHp+f4j1rKlYz3qK9bynWM+bivWsqVjPeor1rKfVCPRNQKzPmMj9D/643HDL1vLlay8tbzv0LeVLt2xdvsdnLjlnJdaf/8XHyo6zb+vbbKs7HrGeH5lYz5qK9aynWM97ivW8qVjPmor1rKdYz3pajUDfBMT6jIk0cb5l81HlrNPft3zLdrw376z/4qAry7Mf/Iu+zba64xHr+ZGJ9aypWM96ivW8p1jPm4r1rKlYz3qK9ayn1Qj0TUCsT5nIC7t2lyuvv72cfOLxK7H+04eXyuevubVcfcVF5dijNy1/DP7Jzd8qLx7/4b7NtrrjEev5kYn1rKlYz3qK9bynWM+bivWsqVjPeor1rKfVCPRNQKzPEetnn3lqOek9xy3fcq1YL7/3ZCmHvL1vs3U8BAgQIECAAAECBAgQIFCpgFifI9anvrNe6eAdNgECBAgQIECAAAECBAj0V0Csz5jNzO+sl1KWnnyhvxOu6Mh8DD4/LB+Dz5r6GHzWs1ntVw7bUHbsfLG89Mpr+cVHuKKPweeH7mPwWVMfg896+hh81tNqBPomINZnTGTmb4MX67E9LdZjlCsLifWsqVjPeor1vKdYz5uK9aypWM96ivWsp9UI9E1ArM8xkal/Z12szyE4303E+nxOXW4l1rtozb6tWJ9t1PUW3lnvKjb99mI969msJtazpmI96ynWs55WI9A3AbEemIiPwQcQSyliPeO4ehWxnjUV61nPZjWxnjUV61lPsZ73FOtZU7Ge9bQagb4JiPXARMR6AFGsZxBbq4j1LKtYz3qK9bynWM+bemc9ayrWs55iPetpNQJ9ExDrgYmI9QCiWM8givX94jhZVKzneb2znjUV61lP76znPcV61lSsZz2tRqBvAmI9MBGxHkAU6xlEsb5fHMX6/mMV61lbsZ71FOt5T7GeNRXrWU+rEeibgFgPTESsBxDFegZRrO8XR7G+/1jFetZWrGc9xXreU6xnTcV61tNqBPomINb7NhHHQ4AAAQIECBAgQIAAAQKjFxDro98CAAgQIECAAAECBAgQIECgbwJivW8TcTwECBAgQIAAAQIECBAgMHoBsT76LQCAAAECBAgQIECAAAECBPomINbXOZFv3/WD8oXrbl++9xmnnVyuuuyCcvCGN65zteHe7elndpZPfu7G8qP/+dnySX7tps+Vk95z3D5PeNrt2/9fs8g7jjy83HLdZ8uxR28aLuKUM3th1+5y5fW3l+/ec9/yrf7q8gvKWae/b6ZFs3//95Ft5TOXnDPztkO/Qdc9OvH40i1by5bNR+3h/dOHl8oll99QHnv8yRW233z3MeXL115a3nboW4ZOueb5ddmj7dvOc80YA+r9D/64nP/n1y6f6qz91N6D7duvfuya2F34sdNHfS3oeg1ofvZv+8ZdK1tv1uPaGPZol+dE7T3afg5lj+69Y7pcA1bfe2L9qY9/ZK7nBmPYq86RQG0CYn0dE2sumjfcsnXlCXjzwN38J3z2xJw88T75xOOXHySaB43PX3NrufqKi9aM61m3nzyh+uwl50wN/nWMtNq7rN578/isfsAf+xP0Zuiz9txaG2P1E8n2iyOz9ni1G22BA++yR5s9/NVvfq988uMfXX7xs9mvV1xz66hfkGvvqWb/3ffAQ/t8gbgxe2Rp+8oT88Z/2/anVm4/6/4LjLrKu3a9BrT3qJ/5svxz2uU5UbMHN2/auPI43n4OZY/u+aPU9RowuffqF0XmfSG/yh9iB01g4AJifR0Dbr+j1n6gWseSg7xL80Bx/c3fLNf85UXL7yq2nxS1T3rW7eeJ0UFC7uOkGo8r/vrWctmnzl158WPeF468s/466qw9N20/7eud9WkvSI1pfzbnusgendy/+WTOmF+ga/+sdo3D9uOTENo7hLo8TrV/hj0ulbLoc6L2nrRH99xl67kGTK69n77g98s/br27TN40GdtjkPMlMAQBsd5ximsFZ9cnTx3/yWpvvtaLGNNictbt2x9VHPtH4Nfad/M+yRHrr/9Yzdpz64n11R+Dn/WR5Wp/uOc88EX26OTFlLG/+NG+ZnaNw7VCaPIVrsZ47J+wWeQaMLmGjPnTH4s+J5rc/6iNb1/5dGL7Y/Bj36NdrwGrrxEnHHfM8lflxPqcD1puRqCHAmK941AmDyxnn3nqyke4xPraiM2ToH++8949Pq45K9a73L55QN96572j/T5w+13hZgpivdsPdNc9unr1td5Zb//r7Y8gdzu6+m+9yB6d9Umc+nXmO4P2PusS67MemyZrnXPmqaP9Put6rwGrP2I85u+sL/KcaPLd/2m/98ce3fuTC9OuAe15uI7Od511KwJ9FhDrHaez6KvIHf+5qm/e9R2Lrrdf6yO2VYN1PPhF3rX0zvr+eWe9PcK1YrXjmKu++Xr36FrvtlUNscDBd31XbfJPTWLymisumvo7PsZ+Lej6uNMeZZcXTxbYBr29a+I50awXmce+R7tcA9b6RbyTzeN76739MXJgBKYKiPV1bJBFv5+1jn+yyrt0/T5w19uPPdYX+T7w2J/8rA6a9X5fdZ531sce6+vZo0J9z8v9er6vOm+oN//S2K8FXR931nownudaUOWD+JwHvehzolnXybHv0fVcAyaj8876nJvYzQj0WECsr2M4XX/z6Tr+iUHcZdZv2W1/vG3W7Rv35r/Jn36b9Wr8IBBnnMSs37S9r49hj/3Jz76eyLTfCZ4WPWs9Qb/73v8sv/Hr7+z8C/+GvFen7dFZ14Ahu8x7brN+E3T760DTPvreXGO/9d3vlz844/3Lv21/7O8KNzOY9bjTvgY0//ue/3igXPzHZy6PsMsLI/POvLbbzXpO1N6jX/n6neW09564x3Vy8hcLmnO3R/fcAbOuAdP2oFiv7afJ8RLYW0Csr3NXdPmbouv8JwZxt3n+bvrq70tOu/3q7wg2OGP/5V2rn2ju6++st2N99Z9um2ywMX/fsjGYZ8+t/ihx+5cfrf5Fh23fad/FHMQP+BwnMe3vrLdjvf0zPll+7L9gatrfWG6HUHt/tn/O238j3Edju10D2vu58R37NbQxmPacqL1HZ10n7dG9L6zTrgFifY4HIjchULGAWK94eA6dAAECBAgQIECAAAECBIYpINaHOVdnRYAAAQIECBAgQIAAAQIVC4j1iofn0AkQIECAAAECBAgQIEBgmAJifZhzdVYECBAgQIAAAQIECBAgULGAWK94eA6dAAECBAgQIECAAAECBIYpINaHOVdnRYAAAQIECBAgQIAAAQIVC4j1iofn0AkQIECAAAECBAgQIEBgmAJifZhzdVYECBAgQIAAAQIECBAgULGAWK94eA6dAAECBAgQIECAAAECBIYpINaHOVdnRYAAAQIECBAgQIAAAQIVC4j1iofn0AkQIECAAAECBAgQIEBgmAJifZhzdVYECBAgQIAAAQIECBAgULGAWK94eA6dAAECBAgQIECAAAECBIYpINaHOVdnRYAAAQIECBAgQIAAAQIVC4j1iofn0AkQIECAAAECBAgQIEBgmAJifZhzdVYECBAgQIAAAQIECBAgULGAWK94eA6dAAECBAgQIECAAAECBIYpINaHOVdnRYAAAQIECBAgQIAAAQIVC4j1iofn0AkQIECAAAECBAgQIEBgmAJifZhzdVYECBAgQIAAAQIECBAgULGAWK94eA6dAAECBAgQIECAAAECBIYpINaHOVdnRYAAAQIECBAgQIAAAQIVC4j1iofn0AkQIECAAAECBAgQIEBgmAJifZhzdVYECBAgQIAAAQIECBAgULGAWK94eA6dAAECBAgQIECAAAECBIYpINaHOVdnRYAAAQIECBAgQIAAAQIVC4j1iofn0AkQIECAAAECBAgQIEBgmAJifZhzdVYECBAgQIAAAQIECBAgULGAWK94eA6dAAECBAgQIECAAAECBIYpINaHOVdnRYAAAQIECBAgQIAAAQIVC4j1iofn0AkQIECAAAECBAgQIEBgmAJifZhzdVYECBAgQIAAAQIECBAgULGAWK94eA6dAAECBAgQIECAAAECBIYpINaHOVdnRYAAAQIECBAgQIAAAQIVC4j1iofn0AkQIECAAAECBAgQIEBgmAJifZhzdVYECBAgQIAAAQIECBAgULGAWK94eA6dAAECBAgQIECAAAECBIYpINaHOVdnRYAAAQIECBAgQIAAAQIVC4j1iofn0AkQIECAAAECBAgQIEBgmAJifZhzdVYECBAgQIAAAQIECBAgULGAWK94eA6dAAECBAgQIECAAAECBIYpINaHOVdnRYAAAQIECBAgQIAAAQIVC4j1iofn0AkQIECAAAECBAgQIEBgmAJifZhzdVYECBAgQIAAAQIECBAgULGAWK94eA6dAAECBAgQIECAAAECBIYpINaHOVdnRYAAAQIECBAgQIAAAQIVC4j1iofn0AkQIECAAAECBAgQIEBgmAJifZhzdVYECBAgQIAAAQIECBAgULGAWK94eA6dAAECBAgQIECAAAECBIYpINaHOVdnRYAAAQIECBAgQIAAAQIVC4j1iofn0AkQIECAAAECBAgQIEBgmAJifZhzdVYECBAgQIAAAQIECBAgULGAWK94eA6dAAECBAgQIECAAAECBIYpINaHOVdnRYAAAQIECBAgQIAAAQIVC4j1iofn0AkQIECAAAECBAgQIEBgmAJifZhzdVYECBAgQIAAAQIECBAgULGAWK94eA6dAAECBAgQIECAAAECBIYpINaHOVdnRYAAAQIECBAgQIAAAQIVC4j1iofn0AkQIECAAAECBAgQIEBgmAJifZhzdVYECBAgQIAAAQIECBAgULGAWK94eA6dAAECBAgQIECAAAECBIYpINaHOVdnRYAAAQIECBAgQIAAAQIVC4j1iofn0AkQIECAAAECBAgQIEBgmAJifZhzdVYECBAgQIAAAQIECBAgULGAWK94eA6dAAECBAgQIECAAAECBIYpINaHOVdnRYAAAQIECBAgQIAAAQIVC4j1iofn0AkQIECAAAECBAgQIEBgmAL/D8A3F/LknH4CAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import plotly.graph_objects as go\n", "\n", "all_fig = go.Figure(data=fig1.data + fig2.data) # Note that the + is concatenating lists\n", "all_fig.update_layout(title=\"The 2 runs contrasted\")\n", "all_fig['data'][0]['name']=\"B (variable steps)\"\n", "all_fig['data'][1]['name']=\"B (fixed high precision)\"\n", "all_fig.show()" ] }, { "cell_type": "code", "execution_count": null, "id": "239f31e7", "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": "3.8.10" } }, "nbformat": 4, "nbformat_minor": 5 }