{ "cells": [ { "cell_type": "markdown", "id": "49bcb5b0-f19d-4b96-a5f1-e0ae30f66d8f", "metadata": {}, "source": [ "## `A` up-regulates `B` , \n", "### by being *the limiting reagent* in the reaction `A + X <-> 2B` (mostly forward), where `X` is plentiful\n", "1st-order kinetics. \n", "If [A] is low, [B] remains low, too. Then, if [A] goes high, then so does [B]. However, at that point, A can no longer bring B down to any substantial extent.\n", "\n", "See also the experiment `1D/reactions/up_regulation_1`" ] }, { "cell_type": "code", "execution_count": 1, "id": "50f75dce-8cef-46ac-876a-2e3c775a1e8b", "metadata": {}, "outputs": [], "source": [ "LAST_REVISED = \"Jan. 12, 2025\"\n", "LIFE123_VERSION = \"1.0.0rc2\" # Library version this experiment is based on" ] }, { "cell_type": "code", "execution_count": 2, "id": "53fed9be-020d-4500-a68b-1638f9159fca", "metadata": {}, "outputs": [], "source": [ "#import set_path # Using MyBinder? Uncomment this before running the next cell!" ] }, { "cell_type": "code", "execution_count": 3, "id": "ad48644a", "metadata": { "tags": [] }, "outputs": [], "source": [ "#import sys\n", "#sys.path.append(\"C:/some_path/my_env_or_install\") # CHANGE to the folder containing your venv or libraries installation!\n", "# NOTE: If any of the imports below can't find a module, uncomment the lines above, or try: import set_path \n", "\n", "from experiments.get_notebook_info import get_notebook_basename\n", "\n", "from life123 import ChemData as chem\n", "from life123 import UniformCompartment\n", "\n", "from life123 import GraphicLog" ] }, { "cell_type": "code", "execution_count": 4, "id": "cc53849f-351d-49e0-bfa8-22f8d8e22f8e", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-> Output will be LOGGED into the file 'up_regulate_1.log.htm'\n" ] } ], "source": [ "# Initialize the HTML logging\n", "log_file = get_notebook_basename() + \".log.htm\" # Use the notebook base filename for the log file\n", "\n", "# Set up the use of some specified graphic (Vue) components\n", "GraphicLog.config(filename=log_file,\n", " components=[\"vue_cytoscape_2\"],\n", " extra_js=\"https://cdnjs.cloudflare.com/ajax/libs/cytoscape/3.21.2/cytoscape.umd.js\")" ] }, { "cell_type": "markdown", "id": "d6d3ca49-589d-49b7-8424-37c7b01bcacf", "metadata": {}, "source": [ "### Initialize the system" ] }, { "cell_type": "code", "execution_count": 5, "id": "e5a3e172-f604-4c9f-b888-7b77129cd6aa", "metadata": {}, "outputs": [], "source": [ "# Initialize the system\n", "chem_data = chem(names=[\"A\", \"X\", \"B\"], plot_colors=['red', 'darkorange', 'green'])" ] }, { "cell_type": "code", "execution_count": 6, "id": "7f19c7b2-69b2-4998-8d0f-48f2f110f568", "metadata": {}, "outputs": [], "source": [ "uc = UniformCompartment(chem_data=chem_data, preset=\"fast\", enable_diagnostics=True) # We'll use diagnostics to explain the adaptive steps taken during the simulation" ] }, { "cell_type": "code", "execution_count": 7, "id": "413fe462-9e70-4a93-9ef8-26064f3d6517", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 1 (at temp. 25 C)\n", "0: A + X <-> 2 B (kF = 8 / kR = 2 / delta_G = -3,436.6 / K = 4) | 1st order in all reactants & products\n", "Set of chemicals involved in the above reactions: {\"A\" (red), \"X\" (darkorange), \"B\" (green)}\n", "[GRAPHIC ELEMENT SENT TO LOG FILE `up_regulate_1.log.htm`]\n" ] } ], "source": [ "# Reaction A + X <-> 2B , with 1st-order kinetics for all species\n", "uc.add_reaction(reactants=[\"A\" , \"X\"], products=(2, \"B\", 1),\n", " forward_rate=8., reverse_rate=2.)\n", "\n", "uc.describe_reactions()\n", "\n", "# Send the plot of the reaction network to the HTML log file\n", "uc.plot_reaction_network(\"vue_cytoscape_2\")" ] }, { "cell_type": "markdown", "id": "d1d0eabb-b5b1-4e15-846d-5e483a5a24a7", "metadata": {}, "source": [ "### Set the initial concentrations of all the chemicals" ] }, { "cell_type": "code", "execution_count": 8, "id": "e80645d6-eb5b-4c78-8b46-ae126d2cb2cf", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "3 species:\n", " Species 0 (A). Conc: 5.0\n", " Species 1 (X). Conc: 100.0\n", " Species 2 (B). Conc: 0.0\n", "Set of chemicals involved in reactions: {'A', 'X', 'B'}\n" ] } ], "source": [ "uc.set_conc(conc={\"A\": 5., \"X\": 100.}) # A is scarce, X is plentiful, B is absent\n", "uc.describe_state()" ] }, { "cell_type": "markdown", "id": "0b46b395-3f68-4dbd-b0c5-d67a0e623726", "metadata": { "tags": [] }, "source": [ "### Take the initial system to equilibrium" ] }, { "cell_type": "code", "execution_count": 9, "id": "dde62826-d170-4b39-b027-c0d56fb21387", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "27 total variable step(s) taken in 0.00 min\n", "Number of step re-do's because of elective soft aborts: 1\n", "Norm usage: {'norm_A': 8, 'norm_B': 7, 'norm_C': 7, 'norm_D': 7}\n", "System Time is now: 0.015952\n" ] } ], "source": [ "uc.single_compartment_react(initial_step=0.0005, duration=0.015)" ] }, { "cell_type": "code", "execution_count": 10, "id": "db4e74d0-3f9d-49dc-9553-bf3cdfe785f2", "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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Changes in concentrations with time (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -7.070728058510636e-06, 0.015958633228058506 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -5.555555555555555, 105.55555555555556 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": 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SYSTEM TIMEAXBstepcaption
00.0000005.000000100.0000000.000000Set concentration
10.0003003.80000098.8000002.40000011st reaction step
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30.0009002.22142797.2214275.5571473
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260.0125340.02629295.0262929.94741526
270.0159520.02597595.0259759.94805127last reaction step
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" ], "text/plain": [ " SYSTEM TIME A X B step caption\n", "0 0.000000 5.000000 100.000000 0.000000 Set concentration\n", "1 0.000300 3.800000 98.800000 2.400000 1 1st reaction step\n", "2 0.000600 2.900384 97.900384 4.199232 2 \n", "3 0.000900 2.221427 97.221427 5.557147 3 \n", "4 0.001200 1.706432 96.706432 6.587135 4 \n", "5 0.001500 1.314329 96.314329 7.371341 5 \n", "6 0.001800 1.014939 96.014939 7.970122 6 \n", "7 0.002100 0.785843 95.785843 8.428314 7 \n", "8 0.002400 0.610246 95.610246 8.779509 8 \n", "9 0.002700 0.475484 95.475484 9.049033 9 \n", "10 0.003000 0.371960 95.371960 9.256080 10 \n", "11 0.003300 0.292375 95.292375 9.415250 11 \n", "12 0.003600 0.231157 95.231157 9.537685 12 \n", "13 0.003900 0.184048 95.184048 9.631904 13 \n", "14 0.004200 0.147783 95.147783 9.704434 14 \n", "15 0.004500 0.119859 95.119859 9.760283 15 \n", "16 0.004800 0.098352 95.098352 9.803295 16 \n", "17 0.005100 0.081787 95.081787 9.836426 17 \n", "18 0.005400 0.069025 95.069025 9.861949 18 \n", "19 0.005700 0.059193 95.059193 9.881614 19 \n", "20 0.006150 0.047830 95.047830 9.904340 20 \n", "21 0.006600 0.040378 95.040378 9.919244 21 \n", "22 0.007050 0.035490 95.035490 9.929020 22 \n", "23 0.007725 0.030681 95.030681 9.938638 23 \n", "24 0.008737 0.027190 95.027190 9.945620 24 \n", "25 0.010256 0.026007 95.026007 9.947986 25 \n", "26 0.012534 0.026292 95.026292 9.947415 26 \n", "27 0.015952 0.025975 95.025975 9.948051 27 last reaction step" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "uc.get_history()" ] }, { "cell_type": "code", "execution_count": 12, "id": "b56d1612-a68c-4da3-be37-a7245b6c1a80", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "From time 0 to 0.0057, in 19 steps of 0.0003\n", "From time 0.0057 to 0.00705, in 3 steps of 0.00045\n", "From time 0.00705 to 0.007725, in 1 step of 0.000675\n", "From time 0.007725 to 0.008737, in 1 step of 0.00101\n", "From time 0.008737 to 0.01026, in 1 step of 0.00152\n", "From time 0.01026 to 0.01253, in 1 step of 0.00228\n", "From time 0.01253 to 0.01595, in 1 step of 0.00342\n", "(27 steps total)\n" ] } ], "source": [ "uc.get_diagnostics().explain_time_advance()" ] }, { "cell_type": "markdown", "id": "962acf15-3b50-40e4-9daa-3dcca7d3291a", "metadata": {}, "source": [ "### Equilibrium" ] }, { "cell_type": "code", "execution_count": 13, "id": "2783a665-fca0-44e5-8d42-af2a96eae392", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0: A + X <-> 2 B\n", "Final concentrations: [A] = 0.02597 ; [X] = 95.03 ; [B] = 9.948\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 4.03037\n", " Formula used: [B] / ([A][X])\n", "2. Ratio of forward/reverse reaction rates: 4\n", "Discrepancy between the two values: 0.7592 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Verify that the reaction has reached equilibrium\n", "uc.is_in_equilibrium()" ] }, { "cell_type": "code", "execution_count": null, "id": "15355aeb-f702-4d10-9d13-8365f6a76772", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "0405ad75-a0a8-489c-bae8-b2516690fc33", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "448ec7fa-6529-438b-84ba-47888c2cd080", "metadata": { "tags": [] }, "source": [ "# STEP 2. Now, let's suddenly increase [A]" ] }, { "cell_type": "code", "execution_count": 14, "id": "7245be7a-c9db-45f5-b033-d6c521237a9c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0.015951562:\n", "3 species:\n", " Species 0 (A). Conc: 50.0\n", " Species 1 (X). Conc: 95.02597471866889\n", " Species 2 (B). Conc: 9.948050562662225\n", "Set of chemicals involved in reactions: {'A', 'X', 'B'}\n" ] } ], "source": [ "uc.set_single_conc(species_name=\"A\", conc=50.)\n", "uc.describe_state()" ] }, { "cell_type": "code", "execution_count": 15, "id": "61eead55-fcef-41cd-b29e-f2d5ad5c6078", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEAXBstepcaption
240.0087370.02719095.0271909.94562024
250.0102560.02600795.0260079.94798625
260.0125340.02629295.0262929.94741526
270.0159520.02597595.0259759.94805127last reaction step
280.01595250.00000095.0259759.948051Set concentration of `A`
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" ], "text/plain": [ " SYSTEM TIME A X B step caption\n", "24 0.008737 0.027190 95.027190 9.945620 24 \n", "25 0.010256 0.026007 95.026007 9.947986 25 \n", "26 0.012534 0.026292 95.026292 9.947415 26 \n", "27 0.015952 0.025975 95.025975 9.948051 27 last reaction step\n", "28 0.015952 50.000000 95.025975 9.948051 Set concentration of `A`" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "uc.get_history(tail=5)" ] }, { "cell_type": "markdown", "id": "b183d3e6-7957-4557-bce6-176909a05a1e", "metadata": {}, "source": [ "Notice the discontinuity in [A] in the last 2 rows" ] }, { "cell_type": "markdown", "id": "24455d58-a0ea-43fa-b6ad-95c42a8b34b2", "metadata": {}, "source": [ "### Again, take the system to equilibrium" ] }, { "cell_type": "code", "execution_count": 16, "id": "c06fd8d8-d550-4e35-a239-7b91bee32be9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "51 total variable step(s) taken in 0.01 min\n", "Number of step re-do's because of elective soft aborts: 5\n", "Norm usage: {'norm_A': 35, 'norm_B': 19, 'norm_C': 19, 'norm_D': 19}\n", "System Time is now: 0.039055\n" ] } ], "source": [ "uc.single_compartment_react(initial_step=0.0005, target_end_time=0.035)" ] }, { "cell_type": "code", "execution_count": 17, "id": "ea3bc6ce-e7c3-4ba4-873a-0104286a2fe3", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
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rFp8tnItRuDNbv1QE6USIknY7KqN9OWImMqv6S7XfaPNLZxrLGhrPh07V80isomQ0BuE711W5ShvMvuBTXddlP7LsmAuGavHz5HlTPuTvco7u3Ltfi+1qFEqSWZSM9dg2m6/hApSqgCfLqQpIqqKk3flf9mm3096KiYp4pnrtZjZ2nZvZ9VW8a6ps066uqhBol8zIeFu38QsAeUzJHclSsDIKkfruSWOsTVVboq2bqnNK9YvxaOXC14ZY1lKVeaa6LqrOu2g+tOornLWbOyVjXX9iWfspSsZy9cqyJEACJJDcBChKGvxrtlNPP2mG7/qQF2byER4YXeXiQJYJv6hNpZ2S0b4xdiJmuXH7dvgFobwIVL2l2WypMH4Ac+t2buPOyFjENTP74hEkjfPXakzhMaz8tIzGOsdUP3TE8mFNtU1VUVL/AK0q/Bj9YfzQYZdoKhGipN93SqowTbQoaXV+MBNH7HbkGNeMWMqqzlmn64x+br1w+Ok1Qoku3MhbuPd8/Z12m6nx3JvMoqSTYztcRLMS+2KZB6rio953ePnw3bBunBvMrtOi7ZRUuXaLJkraXa/FsqaGj9+sruq5JZadksZ5JY8p+ZC7I407kX/3wJRaYRNkGVVbovm1LkXJWNbS8DGYzTPVdVH1M4PfREmn60+0a0yKkm6sfmyDBEiABJKDAEVJgx+tbh/W/2/8cGp3Uao3a3WBEf5h0u6WJj3WW3gsLasL/2gX1OEXlbF8oHY67a1idOrthu/ijKU/p6Kk2e6/eG73NbPZDXHSTTFSnx/y1W5XSrTxRMsSK+sZk7PE4stEltXnWDSxSR63erw61Q8dVgKik52SVuuH2TGrIu7J42/m60siYkeqrmeJECWj9a3H7rIaWyxiVCwxJe36DZ+fsayh0T6IWc011fOItCtaXL7w9q3YxxIewCw2XXh80Wjnt3CWuk3yi0B567Z+7tPXd1neGF9S/m02jljOlbIN1V1Zsmw0H8ZyjFj5O/z/Ksd2tDXTTgiMZc44FSWjXZuorPuSfce2LWslDpT1whlZjUl1rVO9hnKypqrWVRUCox1nZnNNF8qMcSR1lvI1/P9mnHWfqd7tY8Y1lvXTao5YnX/D/a26lqrOM9XrA9V5F+0up7rYKRnN5+G+MF436e9Fm5OxzBmVtYFlSIAESIAEgkuAoqTBd9FiGuo7v8xugQzfXSTb6V/wE8iA3WZCl1GgCs8oKi8CjSJR+IV1LCKFfhFklmHU2K8bF4Sqh4Cd6GgnWkbrx4koGa1fnbnK7a12HFQEMbM24rnt2MoWfaxu7AA1EyX1Y8UNXsYx6MeN092hsk3dp1bJJ2QZuyQGZmJM+O3+xluZ4okpaTUv5YcT+bDLvq3zk7a+8PjvtD/lbbDhO79Vd4/GIrjY3R5t9K3ZjmSjqGQ2/62+MFD9kKh/OA4/Doz96vytsmFLph3btarJDq6SNCCa+GUXw87YvtV5JNYPtWbsw2/d1lmphhwIzzAb7dwavk4Zv3wxyz4ry4evLWYf+GM5V8o2YxElo5WN5RhRFSVV52G08080QSOWOeOGKKn3Z5bk5+qb/xL1yyyzumbrZLQx6bu3ol276XM+/NgPv4ax8o3KmqpaV1WUlDbr59/weILhGbllWX0s4WugcW0JZxSLLVbz0e2dkrIfu2ttnYddOX1tUZ1nsZxvVOed2dzR66pc/7h5+7ZxbbQ7D5qNL9raH8s1QrS1je+RAAmQAAkEnwBFSYMP7T44mV0UmMVPkU0aL+TCYyjJiwopWsq4WFYfroxTK/yi0BibRr+YtPugYGwvfGecl6KkyoV6vLf+xitKqtxqFe9tzn5cIsLno5mNdrfx2rVhVz8eLm6KksYL7XBbwj8ox/KhI3w9kCLS8jWbtNik8YiSVnbKdWPCXY9ErB+yvFnsKuOHCaPoo49dNSlJLIJLrB849OM+mk26GKuXMRPFY/GX8UN8tH5VmaqIksYP0OHjUBGO9DrRziPh81Bf863aD2dv9sE3Fq7hfgo/J9od/2aiqNFX4euL1S6kWM6VsYiS0XwYyzGiKkrqvOzmYTSudruSVOeM3bVG+DFgd31ht/6ajUn3t/E9s53vVmOS9VSu3XTBXorsKtdQxjKqa6rKehyrEBjOx+oLyGh3gkQ7Br/efyBCOLabX0Y2iRAlzY5JuY61a90c4YluVK/JVeZZLOui6rwzO4/LNVx+oVgXomQs64/q2h/L7nm78wXfJwESIAESCD4BipLB9yFHQAIkkGIEGIspxRzO4ZKAQwKxiq4Ou0uK6qq3yybFYDkIEvCQgMoGBQ/NYVckQAIkQAJ1TICiZB07gN2TAAmQQDQC+q3X8jZh/cEPy5wzJEACsRKwC58Sa3vJXp7rbLJ7mOOrCwJch+qCOvskARIgAX8ToCjpb//QOhIggRQnYHbLpkpG6BTHxuGTAAmYENDXE6skZYR2jABFSc4GEnCXgB4qhNcw7nJlayRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFEyYA6juSRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiQQdAIUJYPuQdpPAiRAAiRAAiRAAiRAAiRAAiRAAiRAAiRAAgEjQFHSBYcdPlKGw0fLXWiJTaQagcYNslBeUYWiYs6fVPO9G+PNykhHk4ZZ+PaHEjeaYxspSKB54xz8WFSG0vLKFBw9h+yUQL2cDORmZeBgYanTplg/RQm0zs/F/oMlqKyqSlECHLYTAo3qZ2lzp5Cfw5xgTNm6GelpkNdB3xwsTlkGyTrwts3qJevQknJcFCVdcCtFSRcgpmgTFCVT1PEuDZuipEsgU7gZipIp7HwXhk5R0gWIKd4ERckUnwAOh09R0iHAFK9OUTJ5JwBFyWD5lqKkC/6iKOkCxBRtgqJkijrepWFTlHQJZAo3Q1EyhZ3vwtApSroAMcWboCiZ4hPA4fApSjoEmOLVKUom7wSgKBks31KUdOivP/7xj7j9zt+Z3r5dWVGB3bu244vP1uHsEaMte1q0YDZO7t4L7dp3QnpGRkS5yspK/OfJRzD+pjtN21Dt5635r+KUHr3RroPoJz097n42b9qAs4aPshyPbT+Cy3+efhTjb/xN1PHY9fPmvFfQvWdftG3f0Xw8Nv1UVJRjz64d+FKMZ1iU8dj1I9t57pnH8IsbbjcdT7R+jKJkqJ8+wj+dkZaWFtFWeXkZXpgyGeOuv82yn107tmHL5s9x1jkXKM1saVusdWTD69euRGlpCXoI/tk5OUp9xVMnWsPTn3sK548ei4aNGiv170ahd958DSec1A3tO3ZGRkamG006aiOaKCnXhTfFMV/QbxDatO3gqJ+gV57yxN/wi4m3ma6vQR+bU/u9EiXleWzjp6uwavlHaJLfDOVlZWjcNB87tm5GRmYmWrdpj5KSYm3t635qHyz74F3kN2+JvIYNIe/qLCo8jFML+mHtqk/EsZeOjp27YPfO7Rg85Gx8uGQRCvoOwoK5M3DJFeMwf87LuPyaidr6vnHdKgwddh5mTZuCy66agMWL5mllW7Vph9XCFnnDaM/e/fH2wrno1Xcg8vIaifrTMfba6zW0R4oKMWfm87hy3I3a3+HrjlwHp019EtdNvFV7/5t9e7Bm5VIMO/dCZGZm1bhng1gzS+Sa2Uusmdk5YkxVmr19BgyOOD7lWv/2wjnCztPQum37mjb27d0lbF6KEaPGmJ4jZMGXpj6B0WOuQf0GeRFTo7KyAmtXfqwdB736DDSdOrKPNSuWYfjIi8V5NfJ6JLySFCXnz52Fk7oVWJ67wut8vXe38OMy7ToiKytbaQrbXSeFNyL9sHbVx5rvc3JzlfqwKuTWuUvOFTkP5Jh7iLns5FFaUlJrLjtta9pzYg5PCM3heB9yTu/dvUNcH6wQ8+dS5WasREl5fMpH7/6DlduKt6B+HW133T1Gwe4AACAASURBVBlv+2b1rNYKN/twq62pTz2Kq8dPqrWmudW203YSKUrWHLPZ4pjt5eyYdTrOVKuvcr5ygwlFSTco+q+Nf01+CPfdd5//DKNFlgQoSjqcHBQlIwFSlKzNhKJkiIdbH+x0uhQlAYqSags4RUlrThQlKUoaZwdFychjxa1zF0VJ83WIomTtLzDUzmrelqIoSVHS2xkHUJT0mnhy9UdRMnj+pCjp0GcUJSlKcqckd0o6XEbirk5RUg0dRUmKktwpqfYhj6IkRUm1VTWyFHdKxkaOOyVj42VVmjsl3eHot1YoSvrNI8Gyh6JksPwlraUo6YLPGFPSBYgp2gRjSqao410aNmNKugQyhZvxaqdkCiNO6qEzpmRSu9eTwTGmpCeYk7aTRIqSSQuNA6shwNu3k3cyMKZksHxLUdIFf1GUdAFiijZBUTJFHe/SsClKugQyhZuhKJnCzndh6BQlXYCY4k1QlEzxCeBw+BQlHQJM8eoUJZN3AvhNlJx41yNo16YFfn/bNYGDvm//AQwbczvemfl3tGmZnxD7KUq6gJWipAsQU7QJipIp6niXhk1R0iWQKdwMRckUdr4LQ6co6QLEFG/CT6KkvAW9oqpCJKKqRIX8EcmhZJIu+SN/194z/F5TVvxfKyvqazVlWfGsKSv+J29HrZTtamUrQ+/V1BM9yN/1v2WP1f1pJat/D/WhWVPdX3U9+b6sI98zltX+F1a22gZjWW2Een/yfdmP1sexscuMY/JHPiSnqjTxlFnIRF5G7e/w92VZk/9F1BHt6G2KCoY2q9s19lnr/VDZtPRQfclet8PUpuq6ev+abUb7tNFZjCPKMaq1Z/eIzF0ZqqFQ1app236t+qz2n53Jbvdra68Txg7HKnOLmrnR1uZo/cbpXCd9mg5C0dFO+rWt68S3sq4F52j93tH/Hvzt3P9VHL07xf706POY8driWo11at8KC198UPtfXYiSazZsxlWT7seLk+9BQfcT4h4oRcm40XlXkTElI1kz0U1tJkx0E+LhVrIAnS4T3TDRjepKz5iS1qS8EiWZfZvZt/VZyOzbqZt9W4o+R8uO4Gj5URSL59HyI2jQoBJ7DxxCUWkRiiuKtf/J94q2/IDyynKUta9CeUUZyqrE7xWl4lmG8irxd81ruSgn/hZP/VW+Z/xb1tfqiPZCbYm/xWtpZal4LdeEx46VHdBT/MyomqF6anFUriM6YkjaEK2/UvHj58c9uAcPiR9Bzs9mum5bdlU2Tks7TfPPUvHDh3cEMpGJ08WPOGLxofjhgwRiIfAH/MHT7Nvdhl4HowCp2yqFyratmmH8FefViSgZC7NoZSlKukUyge1QlKQoyUQ3THSTwCUmatNMdKNGnqIkRUkmumGiG7XVIrKUW1+o+T379kXXjhOiYEgoPFoqREP99/KQUBgSC8XvmqgoftcFxDJZJ1Qv93A22hxqhaVNPxZtVIuP1e3IulJsVHmkia0xQ8SPFDHfEz+JfmQgA13ET0FaAV5NexVpaeniP+InPQPp6emQP/L3jLQMYdmx37W/ZVnxqpUVW660mrKseNaUFf9L197Xy6ajSUkTdPqxAza32ooqsdsvXbZR/ZTlZHn5d7pspfr3UB+aNaH+5E91X9pfhno17+u26WWrbajdh6E/+b7WtuwjNPYv5q/CT87vh4yMDM0VaWKcaVXiKV+rtzHpv8tXuUlMe7V5X29Hb1NuiTpWv7ofvf3q94zty98b5mZruySPFFeE7DH0X8u+sPqabdX21dTRy1T3WV5ahs0bNyAzKwsn9Tg1Yhpq9aI9ou2EtKkardmo/drsvrS1OUrH8fYbT5/yi4INq1dqc657777mVrkwVnn7drNGOdj/Q3GtPuIdqzaXrbb2KSxklv3a7aq1m4sJ8Oux41ZhYCZF4h5r9RoUrVcvE91I4fHjVRtrdkRa2aXvlJTv6zsqrYRM445L4y3TI666GxeN+ClmL3wfO3Z/o3X18L03oE2rfG1HpP7Q65iJieE7OmX9EWcNgNlOz41LntWapCgZ3xz3tBZFyUjc3ClZmwl3SoZ4uPXBTqfLnZLcKam62FOUtCbFnZJAz9798fbCuejVdyDy8hph/pzpGHvt9Rq0I0WFmDPzeVw57kbt7/B1RwpN06Y+iesm3qq9b5VRd8Na7pTUZyF3Ssa3U7Kw9DB+LDmEH0sP4UDRd9j68WfIPa4hKvIqa0TBYoNAqImK4u/QqxAI9d/lLkX5v2rRsKq8EjdX3YwHxI+Th/wgfpz4GZw2GC9UvWDalPwQmptRD/WyxDOzvvZ7o9wGyEzLQa74u15mPfFaD/UzG6D1geZCFMtEcZtyZGZkIStN7J0Sr9kZ2aK8+Fv8HnoV/08Xr+J57DUzVE7/f3hZUS/UpnwV9YVw983uvdjyxWc4a/goJxiU6zL7tjKqqAUTGVOy5ouEbHHM9urnjsFsRYkAs28rYWIhCwJeipJyl+RtEy7VdkNGe0hR8sPl6zURUYqA8iFFxoF9utXEmZTC4J593+Lph+7Q3l/47ie4889PQhcHZXkpRuqio/5++G3isq5sI1xMDBdQ5fv/emm+1r9871dXnl8TM1Laa9VOIiYeY0q6QJUxJV2AmKJNMKZkijrepWEzpqRLIFO4Ga9EyRRGnNRDZ0zJ2Ny7/8g3+KH4AA4V/6CJi4dKxasUGkt+wCFNcKx+NfzvUMlBrYyMN5ioR5YQ8HIzcoVYKITBatFQEwlrfg+JiLpoqAmKmdXlNXFR/C7fF/W1/2vvyzrHxMd62UJwFO2FP/wUUzJRfNlu4ggkUpRMnNVs2S8EmOjGL55w3w4vEt3oop9KzEazmJJTpi3AirWbTAVEnYgUIieNu0gTMvWdkroAaraDUbYpd1LKWJbG92V7MlmNiq26IDp56uyIdpjoxv256lqLFCVdQ5lyDVGUTDmXuzpgipKu4kzJxihKpqTbXRs0RckQytKKEuwr2ouv5bMw9Lqv+tX4t4x5GO+jQVYeGuU0RmPxbJTTBI2yG6N+VoNqAdAgCuoCoRQGs6oFwrDdiXKnolE0zBQ7EuvqQVGyrsgnR78UJZPDj3U1CoqSdUU+8f0GTZTUk9KYkdF3V1qJkkahUe6eNBMTv97/vXaLt77r0qwffSem8T1ZnrdvJ36+utIDRUlXMKZkIxQlU9Ltrg2aoqRrKFO2IYqSKet6VwaeCqLkIbGL8ZjAuMdUcPzu6LdKPJvlNkd+veZonBsSFRtLcVETGkOvUmxsLP4v35O/N9HKhd6rS+FQaXBxFqIoGSc4VtMIUJTkRHBCgKKkE3r+ruuFKCkJxHL7drs2LWpu1ZZ1jTsldVHSTjSUMSXDd0q6IUrKcVw26mc19hlvHaco6e+5rlnHmJKRTmJMydpMGFMyxIMxJd1f0JjoRo0pY0pac/JKlGT2bcaU1Gehn2JK6jsbtV2Ohp2Nxl2PPcq6I1f8fCx+RKoW04NJCoatG7RF6zzxFK9tql9r/hb/a5bdHF+uX4+srPhiSho7Li0pweJF81DQdxBatWmnthBalJJtTXtOxEWdEIqLGu+jSiQb2bt7hzjXr8DwkZcqN2MlSq5e/pHWRu/+g5XbirdgZUUFdu/ajs2bNjCmpAnEqU89iqvHT0JmZla8iBNWL5GiJGNKJsxttg0zpqQtIhaIQsDLmJJ2iW6k8GiVfdvs9u1ot1c72SkpcVndvm0miFKUDNghRlEy0mEUJWszoSgZ4kFR0v3FjaKkGlOKktacKEoy0Y1xduzbuwtrViwTotLFWlZfu4fcKTl/7iyc1K0A7Tp0DmW+tXl4IUruFeP4ZPkStOjZDvvL9lsKjpVVlXbmYkjGUDTLao6DzX5E84YtjwmO1SJkG/HaskFr23b8nn2boiRFSatJTFGSiW5sFziXC1CUdBloijXnpSgp0cpdhuGZtHWhT0+CYxdTUrajZ8A27paUwmWfU09EQfcTLGNKquyUlLEgpQ279u6vyRSuJ7qRCW7CBUs5Jvng7dsuHzzG++vDm9azIcn/n96/R03GI71ctPcpSkY6iqJkbSYUJUM8KEq6vKiJ5ihKqjGlKGnNiaIkRUnj7AiaKLm3cDe2/rBZPL8KPQ+Gfi/7oRg/Tfsp5oqfI+LH6tGyfivzHY41gmM7bP/8S0hBsUfPvsjOyVFbdExKUZQ0R8edkhf6cgei0VsUJSlKxr3wxVmRomSc4FhNI+C1KCn71AVFowuMYqGKKGnVjjH7dry3b+sJaoy6luxPt1GKn48+M6vGfBnHUs/8zdu3XTiwjEFDwxVs3fHG1OvhEyY8NbvZhGJMSRcclaJNMKZkijrepWEzpqRLIFO4Ga9EyRRGnNRD9yKmZEVlBdZ/uwZf/fBltfi4GduqRcgjZUWWfDs1Ph5yF6N+C7XZbdXJGqcxSJOOMSWD5C3/2ZrI27f9N1pa5DYBxpR0m6h/2vMqpqR/RhxsS9JEDJiqYA9BzXqrnZLy3vz7fzte2xIrH1LEvOeBKTXbWu3el3UoSqr5gKUiCVCU5KxwQoCipBN6rCsJUJTkPHBCIBGi5Mbv1mHd/tXiuQbrhBgpf7e6zbpFvZY4vskJOK5pV/Eqn+L3xl3RRfyelZHtZGis6xEBipIegU7SbihKJqljPRoWRUmPQNdBNxQl6wC6gy5TWpQ024pq/J/kKu+vf2fm36FveTWrQ1HSwQxM8aoUJVN8AjgcPkVJhwBZnaIk54AjAk5FyS8PfK4Jj+trBMg1KC4/GmHTT5qdghPzT9FEx5D4GBIgZdZqPoJNgKJksP1X19ZTlKxrDwS7f4qSwfZfNOspSgbLtxQlo4iOKqKkjCn5+44zUd6sByrzu6OiWXfxKn5v2BEVIpvfju1bsXH9pxh54SWWM+P1ObNErKICdOx0HDIyIgPLy6ylj/39Qdz6m/8xbUO1n9dmz0TPgj5aP+np6RFtqfbz2cb1OP+CiyzHY9ePtHfyPx7GLXf8Nup47PqZ++pMFPTpiw4dO5uOx66f8vJy7NyxHZ9tXBd1PHb9yHaefPzvuPm2u0zHE62f3OwMVFZWobS8Eno/0j9myQLKy8rw5D//gZtvvdOyn+3btuKLTRtx3sjRSiuRtC3WOrLh1SuXo0Rk7Ozdtx9ycnKV+oqnTrSGpzw9GWMuvxqNGjdW6t+NQvNfn42TT+mBTp2PEzGgMt1o0lEb6SKphBQFiorLI9qR81/OqQGDBqN9h46O+gl65f975AFMEseN2foa9LE5tb9BbiaKSytQIdahRD7k+WXN6hX4+KMPkN+sBcrKStE0Px9bNn+pxVNr1749io8eRZo4NxX06Ycl7y5C8xat0LBRI0CYdvjwj+jbbwCWf7JM8+PxXbqI8+s2nDnsHCx++y30H3gaXp05DVeP+xVmvfwifjnhJrG+b8Pa1atwzojz8dy/n8G4X12PN+a/rpVt2649Pl76AeS9Iv36D8Trc1/V/t+oUWPMfPkFjJ84ScNRWFiI6S/8B7+64dfa3+HrjowT+MwTj4v59Rvt/b17duOTZR9h5KiLkJl1LFOtvv716dcf2dk5ot8qvDJjGgYNPiPi+JRrvbRHHrvt2neoccvuXTuFzR/i4jFjLRPK/OvJxzD26l8gLy/PdE1Y8clSjV+/AaeZulv2Ie2/8OIxSseL/GJk9isv49SCvtq1RbREN9t+2Iq1X4sdkJvXoHyHyPhcMR3flX4bYUfX/BPQq1Vv9GrdGwXitaBVH7y74I2o10nhjUg/rBBzRfo+N7eeo6nt1rlLzhXZlsy+3UfMZSePkpLiWnPZaVtTnvonbrrlDifNaHN6187tWLViOUZfcplyWw3rZaLwaIU4zGuvQfL4lI+Bp52h3Fa8BfXraLvrznjbN6tntVa42YdbbT0urtlvuOnWWmuaW207bScnK0ObO6Vl9kmrYu2r5pjNFsdsX2fHbKx9p3p5eUzana/cYCTPWQ1yM8QaFHkd7Ub7bKNuCDz68F9w33331U3n7DUuAhQlXRAl78v7QwT8qtxmKMs/FV+l98KnP7TCheecgQohWiKrfkTZubNn4dReBegURZT8h/hQffudvzN1sn4xtX7dpxg12lr8nCMEil69+2j9WImSKv1s3LBe+8Bl9bDrR9r72KMP4TY7kdWmn9mvzNBEsY5RRMlo/YTEwm2wG49dP7Kdfz72CG65/W5TJNH6yclKF7elAWVClJwjxiM/jEvBy+yDXZkUJSc/il9HET+3b9uCTZ9/JkTWWETJ2OrIQa7SRMlicZHWX1mUjKdOtFXtX08JUXLsVWjc2LudMvNem41TunUXPjreF6Kk/IY3JzsdR4orIlDJ42zOqzMwcNDpKS9KPvq3v2rHDUXJyCNKitryw5wXouTqVcuxzCBK5uc3w1ebvzgmShYXa2tfb7EO/vfdt9GiZUs0bNhIkyoKhSgphRwpNGWIrNDHd+mK7UKUPOvsc/Duojc1AW/WjJdw7bgJQlR8UYiKN2GHFCVXrcTw80Zi6pSnhVB5AxbMe00cE4M1UVLaIj/M9us/SIiAr2DAwMGaCDpz+ov41fW6KHkYLz0/FRNvDImS4etOqfhy5ikhBP66+ssiKTRI4fCCCy+u9QFeX//6ig+2MlmKFHCkvacN/qmpKPnanFeEGHN6hCi5TAg1l4y5wlL8e/qJx3DlNeOEKNnQdE1Y/nFIlJQCrNlDEz6XfYjRF1+mdLxkZqYJMXiG+MKzb61z1+7DuzQBcs034rlvFdaI3787GhIgO1R1wJC0IZglflo1bq2JjgVCgJRCpHzNr9cs5uuk8Aqa4CPGeq7wvVNR0q1zl5wrsq0sIXBIgd3JQ55/F4q5LOe9nMtOHrKtZ56cLL7wDAnr8T7knJZf9K5a8QkuuvRy5WYaCFHyiPhiLTyYlDw+5UMK94l+1Hy5b3Pd6aYdVmuFm3241Za8lr5h0m1CUD/2RYtbbTttR15Hy7kjv9x3++HmMeu2bcnenjwm7c5XbjAQl9Hiy/1M0y/33WifbdQNgUceup+iZN2gj7vXlBYlJTW7mJF278udkndeNxyl+9Yi84eNyDoongfWI734W1QgA1vKj8ea8j64LPdlzUnljU9CWdNuKG/STYiW3bXnG++twcnde4kPH52QbrFT8j9PPoLxN5nvkKsUC/fuXdvxxWfrcPYIazHKNiu22Mmi0s/mTRtw1vBRlpPOth9h73+efhTjbzS/ANbHY9fPm/NeQXeRDbNt+47mIqtNP9GyYhsHZ9ePbOe5Zx7DL2643ZQJs2+HsDD7dtzrtGVFZt9WY8rs29acvIopKXdKbvx0FVYt/whNhBgpdwM2bpqPHVs3I0PsOm7dpr32RYcUJbuf2gfLPngX+c1bIq9hQ+0DZ1HhYbEbr58QGT8RYlk6Onbugt1iV9bgIWfjwyWLUNB3EBbMnYFLrhiH+XNexuXXTMSeXTuwcd0qDB12HmZNm4LLrpqAxYvmaWVbtWmH1cIWKXj27N0fby+ci159Bwoxr5GoPx1jr71eg3akqBBzZj6PK8fdqP09/bmncP7osUK8DO3Qljtppk19EtdNvFX7+5t9e7Bm5VIMO7d2Rt0Na1eiRGZw7iUyOFfvlJT29hkwGG3aHtsNqV0nlJcJe+YIO09D67bHBCeZGXv18qUYMWqMpSj50tQnMHrMNajfIHKnpEo203iyb89+9UVUtM7Clqqv8KmMBSlux95XuCdi0rWs3xo95Q7I3N5o/n1T/OyckWjbWE1QW7RA7FKPcp0U3pn0w9pVH2u+z8lV281vdZS4de5i9m1zwsy+zezbamdy81KJvH275pgVXyT06NXPiZmsGyMBlfNVjE2aFuft225Q9F8bdZF9238UgmVRyouSdtm17d6X7jaLKZlxZC8yqwVKKVRmHtyALCFaoirym7zK7EaoaNgFFQ3aoyKvQ+i1vnjK1+pnsKYVrVUlwJiSqqRYzowAY0pyXjgl4JUo6dRO1vcXgdVfL8eSnW/j/V3vYsW+jyOMa5qbj1Nb9kZP8ezRokD8XoD2IqwNHyQQToAxJTknnBBIpCjpxC7WDQYBipLB8FM8VjKmZDzU6q5O0ouSMpv2VZPur0X4tgmXYvwV59X8b+Jdj+DD5eu1v0/v3wNPP1Q7ro7d+8qJboQgmSXESU2glILlwfWacJlxZF/0GZCWromTldlNUZmTj8rcpqjKahL6PUf+TzzFe1Xaa+j9yuwmqMpsUHcziz0rEaAoqYSJhSwIUJTk1HBKgKKkU4KpUf/HkkOaCLlk1ztYsuNtfFN07LolI03cDt52ME4V4qPcCSkFSJkBmw8SUCFAUVKFEstYEaAoybnhhABFSSf0/F2XoqS//RNuXdKLkl64Q1mUtDAmvXg/Mgt3Ir1oNzLk84h4Fu4K/a79bSNaWrRblZ6jCZaaWCkFTCFU6kJmSMA8JmhWil0NVfJ9IWpWZdWDrMtH4glQlEw842TugaJkMnvXm7FRlPSGcxB72fjdupAQufMdLN39Xq0hdGp0PIZ2GoafdzkHI7oOFzEBRWAuPkggDgIUJeOAxio1BChKcjI4IUBR0gk9f9elKOlv/1CUdNk/MqakTEBz2CRrl2qsR7tYSVVlJfi3iFl4w9izRazKA0gvOYj00oNIE8/04oOoKvkBO74vw/oDTXBJ/pLQ++KZVnG01minHx2LftkrcXzGFoj0KhEkKqvS8L9F9+L3eX+CSIEqdlrWR1VGrngKkVI8y9PrY2t5B6wv7IQL221CVZrIPiyeVRky8LX4XbxWpWdh9tbW6NWyGJ2alItmxHvy/7JsuigrXivEc/L7Zfj1WY218hC7LLTX6nbKxfs7vz2KTbsOYfigE6vrVrch29L6ysSCxR+jxyk/EUHeO4ims6ttkRmRQzZVVogYmVFiVzKmJESG+HLsEskgtmz+HGedc4Hy0RFPjK146kQzKDy2m7LxDgq+8+ZrOOGkbmgvkitliDlY1w/GlFTzAGNKWnPySpRkTMlgxJRcuHoOvlq3ATPTZ2Lbj1tqTZzT25+pCZFDO5yNk5uLxH3iIRMlzZ87Cyd1K0C7Dp2jZt/WG/t6724R73GZFptaZqJWedhdJ4W3wZiSKlRDZWQyj2nPibioE0JxUeN9yEQ3e3fvEPGjV2D4yEuVm2FMScaUVJ4sJgUTKUoypqQTzziry5iSzvilem3GlAzeDOBOSYc+80KUlB/mVBLQhCe6kaKkJk4K0TK99AAWvr8OPdtnoVPDI8iUomaJEDilsCnfF79DvP7166txb6MHkVZZEkEmlLinCz6tKMClOTMsydmJnxVV6fhL0T24N+/Ppm2o9jPt6BUYkL0cx2VsNRVZK9Ky8ZfDd+P/Nf2HEDYzhCgaEk1D4mgWysX728raY11RZ1zUfEVIiBVP+VrzFELtzK8L0LfJHnSqJ3ilybQIhh0hIilDuRjPP7acjt90fT/iPTnA8so0bD+Sjw2HRRb2Np8fG7Oom5mRpoUZrZCZWHd3Q9+me9C5wSHxwa66mOxOPsQ/yirT8dhX/XH7iZ+I2KQGdNWFpR1bCxvj88MtMKrt5pp6NSU102vvZikXPt16uCE+/7E5RrXfWtsfelmDDXqBld+3RHFlBvrlf4ucjArBLXyXTG1Gst7K75qjpCIdfZsf0OoYQFj8brDXxIanPu+CsV13onFWecRYa+wxqVdd2HysIdiW772+tQVOaVaEzvIYEtOkpqxJPzHZEI1ftf/NeKWLejlCFDhaUs3T4OMK8fvsL5tgULsjIpZbWe0xpdhff1/eDLf0/V5kbU6xgSsMNzc7lH27Mjz1rULdWIrIr8FWf10fS3fVQ+MWbZnoRvD2S6Kb9d+uxWtfzsK8La8i/RAwNG0opomfFnmtMLTj2eI5DEPEs6GIfx3+oCipfhQw0Y05K4qSFCXVj6LIkhQlndDzb12Kkv71TRAsoyh5zEsyabN8LHzxQV+7jqKkQ/f4WZQMH5ptVmyj+FlVoe20TKsQ2VDLjmi/V4rX3bv34ovt+zC8n9gRUSXEIPFMqxCCR5V4VorfK8vw+uqDmvjZsXEVMtJEGfG+Vla+L14rRNbVx1Y2xu19vtbKQ/YlX2U7KBfFyrGtMA8bDzXHha3WVdetbsPQ1ozvf4r+9TfiuMwdSJciqmaLFKhCNlUIQTGa+FleJQS5yq74tKwnLs2daTkT7MTPcrEz88HC3+KevP81bUO5n+IrMSDrY7GTdZuQxSJ3spYhCw8X3oXf5dWOkap3Ku34SojGG8pPxSW5s5Rmdjx1ZMMflw1EcVUuBgp7c9OKlfqKp060hv9RdCuuqzcVTeSnaI8es4ovxamZ69Al4ytkphmFVY8MiKEbKe5PO3olfpr9Hjpl7IihZvIV/XPhvfhdg/vFehR5XCXfaP05okrx1dEnZYOwpPinyG9SHyUZTZl9uw6zb7c8qT1e3/yK9pQZs/XH4IZn4GfpP8OAs89CQeu+tpOJoqQtopoCFCXNWVGUpCipfhRFlqQo6YSef+tSlPSvb4JgGUXJkJdkbpWnnn8du/bux/2/HY+C7if41n0UJV1wjdOYki6YwCbMCEgRVAiUIVFUCEhC+NTET00c1UVUKWKK9+R2RfFMq37V/xb/qP6/cWui4feI3UXGcqLpWu9HvtcgV9zOLsoUl0obDIPQ69XsmKxdV+yvPLahz6ENx3q1sN3CBm1s1e+JhSTMAzFwqD3w2u0Y25V9Gf+2Y2Swr7Yfqtsxboi08VONUZoNRhMNf4TbJ4ppXBT4aS2Gj83KPkM/MhZOvex0FOrhI0xsiBg7VwsSMBDIq5eprT/lcmttgh9Z361G/W0vo7zxT7B/9DEhLMHdsvlqAqXiy7vXv3wFrwkhcvGOt2q45Ndrhgu6XoILTrwEA9oMjomXFCVzszJwsLA0pnosTAI6AcaU5FxwQiCRoqQTu1g3GAQYUzIYforHSsaUBP706PPoe+pJWLnu8qHbOgAAIABJREFUCw3h72+7Jh6UntShKOkCZoqSLkBM0SaY6CZFHe/SsJnoxiWQKdyMVzEldcQtXuuHrIMbcWjAoyg6eWIKk/du6It3LKrZFVki7n7QHyNPuFgTI0d0GRW3MRQl40bHitUEKEpyKjghQFHSCT3WpSiZvHPAU1Fy3ry6AzlypGXf3YZeh3dm/h1f7/8e9zwwxde3cFOUdGEKUZR0AWKKNkFRMkUd79KwKUq6BDKFm/FalKy3bSaavncdKrMbY/9F61GZ2zyF6Sdu6Ou+XaPtinz9q1ew5/Cumo4GtfspRp0gdkWKZ+OcJo4NoCjpGGHKN0BRMuWngCMAFCUd4Uv5yhQlk3cKeCpKTp4M3Hyz9zAnTQIef9y0X/3W7acfukN7XwqUL06+x7e3cFOUdDh9kjampAkXPZv45k0btKyZVg/b2JUVFVGzYqv28+a8V9C9Z1+0bd8R6emRGSxkO8y+HX2CM/t2bAsAs2/HxssvpZl929oTXomSxuzbLTIPoqzkCJo2aoDNhxogIzMTrdu0R0mJiGEskjd1P7UPln3wLvKbt0Rew4ZaBIKiwsM4taCfyNr8ich8n46Onbtg987tGDzkbHy4ZBEK+g7SEsdccsU4zJ/zMi6/ZiL27NqBjetWYeiw8zBr2hRcdtUELF40Tyvbqk07rF7+kRaNoWfv/nh74Vz06jsQeXmNRP3pGHvt9Rq0I0WFmDPzeVw57kbt7+nPPYXzR49Fw0aNtb9lnMBpU0Xm4omhzMUy6/OalUsx7NzaceI2rE189u0fSw5hxnPPYGHDN7H8+2U1Tj+p2ckY2UXuirwYh776DukZGejVZ6DppNi3dxfWrFgmsidfLM6rIkGczYMxJe0IHXufMSXNWTGmJGNKqh9FkSUTKUoy+7YTzziry5iSzvilem3PY0pKUXLRIu+xd+pkKUrqt26POGuAZpf8Wz78egs3RUmH04eiZCRAipK1mUjhT344/lKIucPCxFzjTsmQyNoH7TqIJEIR2ZhF+p7yMrwwZTLGXX+b6ayNR2CMp47sfL34gC0v1noIUTg7J0fpKIqnTrSGw8UBJSMcFqIo6RBgHVWnKGkNvi5EyfzG9VF5YDOap32LTRWnICMri6KkwUVyrX974Rwhnp6G1m3b17wjBcPVy5dixKgxtc4RO37chmfXP41nP30aN1dOwjPiJzs3R4sRKW/P7t/2NK0NlQ95FCUjjxW3zl0UJc3XIYqSFCWdXBpQlHRCz791Vc5XbljPnZJuUPRfG56Lkv5DoO2MNHtsXPKsD63V8jBEZKjwpaF+NYqiZKRnKErWZkJRMsTDrQ92Ol2KkkC027flTuE357+Kgn6D0KZtB78uoZ7YRVHSX6Jkk/xmqDy8Fy1LPhei5MlClMymKBmHKClv0X523dOY8Xno22/5+F3G79BxiNgZecrFEU5X+ZBHUTLyWHHr3EVR0nwdoihJUdLJhQBFSSf0/FtX5XzlhvUUJd2g6L82Ul2UlLdum8WQ9PMt3BQlXTiOGFPSBYgp2gRjSqao410aNmNKugQyhZvxaqekGeKWcwqQeegL/NjvQRR2q4NYPAH1+we7Fms7I9/ceiyw+iUnXYHrTp2Iglb9PB0VY0p6ijspO2NMyaR0q2eDSqQo6dkg2FGdEaAoWWfoE96xpzElEz6a2DqYeNcjaNemRcSt2n6+hZuiZGw+Ni1NUdIFiCnaBEXJFHW8S8OmKOkSyBRupi5Fydztc5G/5ApUZdYXSW/WoaJ+2xT2hP3Q39jyOv796T+xbO8HWuHM9ExNiLy2+wQc3+QE+wYSUIKiZAKgpliTFCVTzOEuD5eipMtAU6w5ipLJ6/BUFiWD6FWKki54jaKkCxBTtAmKkinqeJeGTVHSJZAp3ExdipISe9P3rkG9ba/gSNer8cPpT6ewJ6yHvvrr5fjHigfw7o43tULN6jXHdT0miuf1yK/XrE6ZUZSsU/xJ0TlFyaRwY50NgqJknaFPio4pSiaFG00HQVEyWL6lKOnQX4wpGQmQMSVrM2FMyRAPt+Jy6XQZU5IxJVWXb8aUtCbllShpzL4tY0qWl5WhcdN87Nj6JbIqi9ExazcONzwVVTlNmH27OtFNu1OOxwu7/oNpG5/VHHhKdjeMqX8Zxo29FZkZmaZOfWnqExg95hrUb5AX8b5KjC7GlIzE6ta5izElzdchxpRkTEnVc7lZuUSKksy+7cQzzuqqnK+c9RCqTVHSDYr+ayPVY0r6zyP2FlGUtGcUtQRFSYqSUnR87pnH8IsbbjedKxQlKUo6XGYsqzPRjRpZipJ+FiU3IzOtEp3St6AooxkqmnZLeVHySGkRnn35Mbzw43PYKX7k4/qCW3FF+2uxac3aiOzbRu9SlAzR+GbfHqxd9TGGDjsPObm5aguFRSmKkmr4ZN7Mvbt3iC8gV2D4yEvVKolSFCUpSipPFpOCFCWd0PNvXYqS/vVNECyjKBkEL9W2kaKkQ59RlKQoSVEyR+kocuuDnd4Zd0pyp6TSxBOFKEr6W5TMyMxEx4zdKCmrQGWDtjh54Egs++Bd5DdvibyGDSG0DhQVHsapBf2E0PQJMjLS0bFzF+zeuR2Dh5yND5csQkHfQVgwdwYuuWIc5s95GZdfMxF7du3AxnWrNGFq1rQpuOyqCVi8aJ5WtlWbdli9/COIptGzd3+8vXAuevUdiLy8RqL+dIy99noN2pGiQsyZ+TyuHHej9nf4uiN30kyb+iSum3hrjRi2ZuVSDDu3ttCwYe1KlIiyPXr1RXZ2jhhTlWZvnwGD0aZthxoHPbf+GfxzxSM488gQvC9++p54Gm7pdze6Nj0Jchfj6uVLKUpmZNge+hQlbRHVFCgtEXP4OTGHJ4TmcLwPipKxkZNz1GytiK0Vb0pPfepRXD1+EjIzs7zpMIZeKErGACtARSlKBshZPjSVoqQPnWJjkuui5Iir7saO3d+YdrtxybPBI6RgMWNKKkBiEVMCjCnJieGEAGNKOqHHupKAV7dv29HO3f0G8t+5GEjLwDcXi6Q3ecfZVUmq9xdueQ3/J+JGbvjuU21cp7c/E7cKMXJQu5/6epyMKelr9wTCOMaUDISbfGtkIkVJ3w6ahrlGgLdvu4bSdw0xpqTvXBLVIFdFSav048FCEru1FCVjZ8YaIQIUJTkTnBCgKOmEHuv6SZSUtjT9YDzqbZmGo8eNwcEhz6aEg1Z9/YmWxGbxjre08Z6Yf7K2M/LCE8YEYvwUJQPhJl8bSVHS1+7xvXEUJX3vIl8bSFHS1+5xZBxFSUf4PK/sqijZbeh1eHHyPSjofoLnA6nLDilK1iX9YPdNUTLY/qtr6ylK1rUHgt+/X3ZKSpIZhbvQ8rU+SCsrxKEBf0fRyaFbqJPxceDo9/jLx/dienUSmya5TXFLn7sxoeDXgRouRclAucuXxlKU9KVbAmMURcnAuMqXhlKU9KVbXDGKoqQrGD1rhKKkQ9SMKRkJkNm3azNhopsQD8aUdLjYmFRnohs1powpac3JK1HSOvv2ZsiYkq3btEdJSTEyS77HacUv4c2SEWjaqgMa5LdLupiS87bNxp8//B+MOHou3hM/5xaM1nZHNsxupDmqvDr7dkHf09C6bfsa5zGmZC+0a98J6YwpCRkH0hgfVW0lNC/FmJJAZUUFdu/ajs2bNuCs4aOc4FSuy5iSyqiiFkykKMns2+74KJ5WGFMyHmqsoxNgTMngzQVXRUl5+/aoc07HiLMGBI9EnBZTlKQoyUQ3THQT5/LhuBpFSTWEFCWDI0qmpaWhf731+O/2XLTMPoyczkNQmZ6dFIluDhYdwCuHZ+KVr6YhTfzcknsbfnbGeehz0qBaDqIoGTlfFy2YjZO7U5TUyVCUVFv7VUtRlIxOioluskWSsn6q04nlXCBAUdIFiCncBEXJ4DnfVVFyzYbNuOeBKVj44oPBIxGnxRQlKUpSlKQoGefy4bgaRUk1hBQlgyVKdj+1Dz5+dzZaY6fIvt0YxW3ODLwo+eKip/HfrYvw3/LFqEoH7jvjATT/qnFE9m3pKYqSFCXtVjaKknaEYnufoiRFSTMC3CkZ23HkZmmKkm7STL22Ul2UXPjuJ7jzz08iPMm0DLV424RLMf6K83w3KVwVJeVAoz2Yfdt3/qdBdUyAMSXr2AEB754xJQPuQB+Y79Xt27EONaNoN5ov/Bnka9EpN+JQ/7/F2oRvyv/hw7vwr7WTNXvOOe583Hf6A+jU+Hjf2OfEEMaUdEKPdSUBxpTkPHBCIJG3bzuxi3WDQYAxJYPhp3isTPWYklOmLcCKtZvw9EN3aPj+9Ojz2uvvb7smHpwJr+OqKJlwa33aARPd+NQxATCLomQAnORjEylK+tg5ATHNr6KkxJfz9fto9uZwjeSh/g8LcfKmgFANmbnj0Fb8ZvFNWLrnvdAF4Rl/wy973hioMdgZS1HSjhDftyNAUdKOEN+PRoCiJOeHEwIUJZ3Q83fdVBclpXdGXHU3Jo27CG1a5eOqSfdH7Jz0kwcpSrrgDYqSLkBM0SYoSqao410aNkVJl0CmcDN+FiWlW+pvfg5NPrpB89CBYa+iuP25gfDWwi2v4c7/3ogfig/iuMZd8fBZ/8SgtmcEwvZYjKQoGQstljUjQFGS88IJAYqSTuixLkXJ5J0DnoqSW+bVHcguIy37lqEVpRjZqX0rTZz0c94X10VJffBGOi9OvgcF3U+oO2clsGfGlIyEy+zbtZkw+3aIB7Nvu78QMaakGlPGlLTm5JUoqZp9Wya6kTEll33wLvKbtxQxJRsi87s1OPrdDgxs8CmW1P8V0nMaomPnLti9czsGDzkbHy5ZhIK+g7Bg7gxccsU4zJ/zMi6/ZiL27NqBjetWYeiw8zBr2hRcdtWEWhmLVy//CFUCTc/e/fH2wrno1Xcg8vIaifrTMfba6zVoR4oKMWfm87hyXGiH4/TnnsL5o8eiYaPG2t8y5ti0qU/iuom3an/LjLqz330RD/3wV5SKn/O6jsbfznwCOz/fjBJRtkevvsjOzhEZxas0e/sMGIw2bTvUchBjSkbOVya6qc2EMSXV1n7VUowpGZ0UE90w0Y3qseRWOcaUdItkarbjeUzJNSJEz+KbvYddMAn42eNR+5W3be/Z923NbdzeG6nWo6uipB5U852Zf0eblvmaBfv2H8CwMbfj4Xtv8LU6q4YrshRFyUgmFCVrM6EoGeJBUTLeVca6HkVJNaYUJa05BUGUFPodSncuw+DKufiw6hxUtOiLjsd19Z0o+f3R7/DnN+5C7r4szKiagVsH/Ba39PutBn/D2pUUJaun4dd7d2PtqmU4a/goZGVlKx3EFCUpSipNlDgLUZSkKGlGgIlu4jygXKhGUdIFiCncRJ2IkjsWeU+8UaeooqSehFoallI7JfX71sO3hkqxcvLU2UmZlZuiJEVJZt9m9m3vz0KhHilKqpGnKBl8UbLo8CGcXj4Ln3zbEqjXHG17X+grUbLreT1F/MgbkfZjFc7OOBun/3w4ft7lWHZDipLH5iBFSbHrqqCf2uJlUYo7JR3hi6hMUZKiJEVJd48pp61RlHRKMLXrey5K+hS31Obu/+14zbqUiikps2+b3aqt39LN7Ns+nbE0q84IMKZknaFPio4ZUzIp3Fing/Bqp6Qbg8w89KWWkTu95AAKe/wGP/b5kxvNOm7jmTWP4Y8fhXZEDuk4DA+f+U+0a1j7lmzHnfi0AcaU9KljAmQWY0oGyFk+NJUxJX3olACZxJiSAXJWjKZ6GlMyRtu8KB6ebTulsm+n4k5JOamY6MaLQys5+6AomZx+9WpUFCW9Ip28/QRJlJReyNm9CM3euVBziBQlpThZl4/fLvk1XtgwRTPhhoLb8P8G31+X5njeN0VJz5EnXYcUJZPOpZ4OiKKkp7iTrjOKkknn0poBpbIoOWXaAjz6zKyIbNtyA+FtEy7F+CuO3cnjlxnAmJIueIKipAsQU7QJipIp6niXhk1R0iWQKdxM0ERJ6ar6m58XGblDiWjqUpi84a1r8PrmV5Amfh77+b9x0YmXp9xMoiiZci53fcAUJV1HmlINUpRMKXe7PliKkq4j9U2DqSxK+sYJMRjiqigp+2X27WP09Rg1X3y2DmePGG3pFrsA7jJr6X+efATjb7rTtA3VfmwT0Cj2s3nTBi1AvdXDtp+KCvzn6Ucx/kbzHS6qsX3enPcKuvfsi7btOyI9PT3CHNlOtH6iJaAxNmbXD2NKMqZkDGuuq0UZU1INJ2NKWnPySpR0kn1bJropKjyMU0UcvrWrPkFGRjq65u7D3q0bcG7OfMzLuhndz7rWs+zbPxt5AW778Hq8t/MdtMhpiZsrJuGX14fOZzL79pqVSzHs3AuRmZlVA54xJY/NQcaUZExJ44pkJUquXv6RVqx3/8FqC72DUqrXnQ66iKhqtVa42YdbbTH7NrNvuzWXVNthTElVUixnRoAxJYM3L1wXJYOHwJnFTHQTyY+iZG0mzL4d4sHs287WGrPaFCXVmFKUtOYUVFGyY+cu2LfpI1xQ9FcsLDkf/Y5vgBlbOuKSK8Zh/pyXcfk1E7Fn1w5sXLcKQ4edh1nTpuCyqyZg8aJ5KOg7CK3atIMUPYTeiZ69++PthXPRq+9A5OU1EvWnY+y1oZ2YR4oKMWfm87hy3I3a3y9MnYzX6r2OZd99iE6NjsdTZz+P1a+/j+sm3qq9T1EyzfagpChJUdI4SShK1v4Cw/YAqoMCFCUpSno97ShKek08ufqjKBk8f1KUdOgzipIUJblTkjslHS4jcVenKKmGjqJkcoqSu3dux5knZmLp4oU4I/s9PH/0OiFK/gLzXns1IaLklwc+x4Lp0/Gvyn/huNZd8fQ5L6FlbitMm/okRcluBWjXoTPS0ihKWh1tpaUlkDtms7IoSlKUtP4CQ+2s5m0pipIUJb2dcQBFSa+JJ1d/FCWD509XREkZNPPhe2/AnX9+MioBZt8O3gShxYklwJiSieWb7K0zpmSyezjx4/Nqp2QiR5L97Sdo+t8rkXFkL0pbnYYDQ19CZb1Wrna55/AujH1tJLb88KWWYfuZc19CXlZDV/sIYmOMKRlEr/nLZsaU9Jc/gmYNY0oGzWP+spcxJf3lDzetYUxJN2kmvi1XRMnEm+nvHpjoxt/+8bN1FCX97B3/20ZR0v8+8ruFySBKSsaZh75E0yVXIuvgRpQ3/gkOnPkSypuc7Ar+H4oPCkHyfKz7dg3O6PAzTB81T0tuwwdAUZKzwCkBipJOCaZ2fYqSqe1/p6OnKOmUoH/rU5T0r2/MLHNVlJQ7Jl+cfA8Kup9Qq6+F736CyVNnY+GLDwaLjqK1FCUVQbFYBAGKkpwUTghQlHRCj3UlgWQRJeVY0ou/14TJnK/fR2VuC02YLG11uiNHl1WUajskl+39AL1b99cESe6QPIaUoqSj6cXKggBFSU4DJwQoSjqhx7oUJZN3DlCUDJZvPREl9YzcyXj7NmNKRk54JrqpzYSJbkI8mOjG/ZMDY0qqMWVMSWtOXomSbmffloluZEzJwUPOxodLFmnJaxbMnaEluln48hO4Neev2FrRFR81moAzzh8Xd6Kb8XMvxym7T8CCZm8IQXI+3p01F+ePHouGjRprUGWcQMaUnIWTGFPSdjFiTElzREx0w0Q3tgdPlAKJFCVrjtlsxpR04qN46jKmZDzUWEcnwJiSwZsLnoiSU6YtwOyF7yflTkmKkhQlmeiGiW7qaumnKKlGnqJkaomSMvv29V034OtN72N5+UCcNeBkPLs6K+bs2ze8dQ3+u/kt3JB2Ay646ioc17grpj/3FEVJw3SSOyXnz6UoqbISUZSkKGkk8M2+PVizcimGnUtRUuX4sSpDUdIJPf/WpSjpX98EwTKKkkHwUm0bHYuS+i5Iu6Gb3dZtVycI71OUpChJUZKiZF2tVRQl1chTlEw9UfLyaybi4OI/Y/1Xu3FhzhxMLrkDl195Ld5ZslTbVdmqTTusXv4RqgSanr374+2Fc9Gr70Dk5TXC/DnTsarDOkz/7Fm0z+mAG9NvxLW/vEWDSFGy9lyiKKm2BslSFCUpSlKUVD9eVEtSlFQlFaxyFCWD5S+/WUtR0m8esbfHsShp7MIqpqS9GcEuwZiSwfZfXVrPmJJ1ST/4fTOmZPB9WNcj8Or27boaZ71tr6LxsklILz0k4kw2w499/oIjJ1wd1Zz7PrgTUz79J7LTc/Dy6PkY0GZwXZnv+34ZU9L3LvK9gYwp6XsX+drARIqSvh44jXOFAGNKuoLRl42kekzJEVfdjR27v6nlGz+HUnRVlPTljPTAKIqSHkBO0i4oSiapYz0aFkVJj0AncTfJLkpK12Ue3opGn9yF3N0LNU8e7XwRfuz7F1TkdYzw7IMf/xGPrQwl5Xth5Bz8rNM5Sex950OjKOmcYaq3QFEy1WeAs/FTlHTGL9VrU5RM3hlAUfJuTBp3EUacNUBz8p8efR579n2Lpx+6w5dOpyjpglsoSroAMUWboCiZoo53adgUJV0CmcLNpIIoqbu3wZf/RqMVv0Na2WFUZTbAj/3+gqKTflXj/cmr/oa/Lvu99vdT57yAkSdcnMIzQ23oFCXVOLGUNQGKkpwdTghQlHRCj3UpSibvHKAoWVuUXPjuJ5g8dbZvc7y4Kkru238Aw8bcbjm7/bxlNN5DkjElI8kx+3ZtJsy+HeLB7NvxrjLW9RhTUo0pY0pac/JKlPQy+7ZMdCNjSu7ZtQMb163C0GHn1WTf/u8bs3BGzofo+s3zeK90CMoanYBThk3Ev996C1MOPIND4uf2endg/PjfaNCOFBVizsznceW4G7W/GVOy9lxiTEm1NUiWYkxJc1bMvs1EN+pHUWTJRIqSzL7txDPO6jKmpDN+qV7b65iS876YV2fIR5400rRvefu2cafkxLseQb9eP8H4K86rM1ujdeyqKCkHf9GIn6LPqSfingem1CixEsKoc06v2T7qSxJxGkVRMhIcRcnaTChKhnhQlIxzkYlSjaKkGlOKktacUk2UXLxonpbo5riiJVj7/hyg/Aj2pS/DG8Vj8F7Ve/hl/0losCkTY6+9XoNGUTL6MUZRUm0NoihpzYmiJEVJ9aOIoqQTVkGqS1EySN7yn61ei5KTl0/GzW/c7DmISeKa9fFzH7cUJcNjSt424dLUECX1RDetWzbDL29/sEaUlBm6jSKl5x5LYIcUJSlKMvs2s28ncImJ2jRFSTXyFCUpSs6aNgWXXTUBuigps2+vWfYODmyfj5u+fxYX4jJ0afQlrh56P+b8dx1FyZEXIz09w/YAoyhpi6imAHdKmrOiKElRUv0ooijphFWQ6lKUDJK3/GdrXYiSi7Ys8hxEpyadooqSxp2S0jip1T187w2+3Cjo6k5JY/Zt+bt+u7YUJa+adH/N3557LMEdMqZkggEncfOMKZnEzvVgaIwp6QHkJO/Cq52SfsRYVFaIC149E5u+24jr6udhanqhZubhgntxuOf/+NFk39nEmJK+c0ngDGJMycC5zFcGJ/L2bV8NlMYkhABjSiYEqy8aZUzJ2rdvS6f4+RZuV0VJ40CNv0+ZtgCzF77v28CaTo8cipJOCaZufYqSqet7N0ZOUdINiqndRiqLkr96YywWbnkN/doMwmsXzteS4DTY9LQ2IcobHo/CHr/BkROvS+0JYjN6ipKcHk4JUJR0SjC161OUTG3/Ox09RUmnBP1bn6JkbVFSz/2SEjslw6el3C2pP96Z+Xe0aZnv35nrwDKKkg7gpXhVipIpPgEcDp+ipEOArI5UFSWfXvN/+NNH/4Pm9Vrg9Uv/i06NjtdmQ+6et5C39i/I/naF9ndZfk9NnDx6HDNxmx0uFCW5iDglQFHSKcHUrk9RMrX973T0FCWdEvRvfYqSdyM8pqRfBUk5i1zdKenfaZk4yxhTMpItE93UZsJENyEeTHTj/jrEmJJqTBlT0pqTV6KkX7Jvy5iSDbvkY8zi8zFE/IzschEuPfs6vL1wLnr1HYi8vEaYP2c6fjk4D3kb/o6jB/fgX0cm4OYOb6PoJxPw72WlOH/0WDRs1FiDKuMETpv6JK6beKv29zf79mDNyqUYdm7tOHEb1q5EiSjbo1dfZGfnoKqqCgvmzkCfAYPRpm2HWg4qLy8T9swRCXlOQ+u27Wve27d3F1YvX4oRo8YgLS3N1KkvTX0Co8dcg/oN8iLeV4nRJftYs2IZhjOmZA0/t85djClpvg4xpiRjSqqdyc1LJVKUZPZtJ55xVlflfOWsh1BtipJuUPRfG17HlPQfgeBZ5KooaYwpGTwU8VlMUTKSG0XJ2kwoSoZ4uPXBTqc7/bmnaokD8R3BsdV6583XcMJJ3dC+Y2dkZGTGVjkBpSlKqkGlKGnNKRVFyZcLp+Ht79/ELa3uwFmdhqNn7/4RoqSefRtrn8DLy/bj9noPaRD/ceQOXNqnPjJ6TkBlbjOKkjkZmD93Fk7qVoB2HTpbiqXGGfj13t1Yu2oZzho+CllZ2UoH8aIFs3Fy915o174T0jPsE/BIcXjtqo8xdNh5yMnNVerDqpBb5y6KkuaEKUpSlHRygFKUdELPv3UpSvrXN0GwjKJkELxU20aKkg59RlGSoiSzbzP7tsNlJO7qFCXV0FGUpCipZ9/+18xH8MKh51C/WR4eOv4fQkRLjypKHikqxJyZz+NXZzRG/S+n4Iltg3BdvaloknEYRSf9CgePH4fn5yzmTkmKkraLEUVJipJGAla7qm0nUh0UmPrUo7h6/CRkZmbVQe/Ru6Qo6TuXuGIQRUlXMKZsIxQlg+d6V0VJmdxm1Dmn+zLNeCJdw5iSiaSb3G0zpmRy+zfRo2NMyUQTTv72vdop6QeSS3a+gytfv0AzZcaoBTi9w5kxm5Wz9x2RDOdfyN05r6ZucacLxa3dv0JJm9jbi9kAn1VgTEmfOSSA5jCmZACd5iOTEylK+miYNCVBBHjc5moaAAAgAElEQVT7doLA+qDZVI8p6QMXxGSCq6KkzOrzy9sfTNos21ZkKUrGNOdY2ECAoiSngxMCFCWd0GNdSSBVRMmSimIMmz4AW3/YjFv7/Q/uHHCvowmQdXA96n/+DBp8+e+adkpbnabtnjx6/GWO2g5SZYqSQfKWP22lKOlPvwTFKoqSQfGUP+2kKOlPv7hhFUVJNyh614aroqQx27bZEDYueda7kXnYE0VJD2EnWVcUJZPMoR4Ph6Kkx8CTsLtUESXvWnwTXvpsKga2PR2vXrTINU+mH/0GDb74FxoIgTK95Dut3fJGXYUwOQZHO1+M8iYnu9aXHxuiKOlHrwTLJoqSwfKX36ylKOk3jwTLHoqSwfJXLNZSlIyFVt2XdVWUrPvheG8BY0pGMmeim9pMmOgmxMOtZAE6XSa6ARhTUm3NZ0xJa05eiZJ1mX278LhS7FnyJR4XPw+0/RvOGPRztGrTTmSy/ghVAk20RDd6TMkrx92oQQxfd2qyb0+4RRMnD66fjY++74QxuTOQhVKUtjodR4+7BMuLTkZxRTqzbwuGTHSTjR4F/dQWL4tSpSUlkJnkC/oO0uayk4dsa9pzIoP8hFAG+XgfMqP83t07xLl+hcjefqlyM0x0w0Q3ypPFpGAiRUlm33biGWd1GVPSGb9Ur82YksGbAa6KklbZtxe++wkmT52dlLd1U5SkKMlEN0x0U1dLP0VJNfIUJVNXlFy9Zin+/O19uLrkKuQNaol2e1vWCDmuipITQ4KOTF7x6YfzMbr1OjTaPgNpFUe0/39cNgiFjXri1B49UNX5HJTXa4MFc2egz4DBaNO2Qy0HlZeXiWzgc4Sdp6F12/Y17+3bu0sIqUsxYtQYyyzXL019AqPHXIP6DfIinK7yIU/2sWbFMiEqXYz0dPss13KnJLNvq61DTHRjzomiJEVJtSPIvBRFSSf0/FtX5XzlhvXcKekGRf+1QVHSfz6xs8gTUXLNhs24atL9SMbbtylKUpSkKElR0m6hTdT7FCXVyFKUTF1R8uV3/41njjyF2zNuxy9/cUet3WWJEiXXrFyKYedeiKy0KuRufwX1tr2CtdsOobgqB4OyliEnrQQlLfrjpQPD0bdPHzQ/5WyKkjaH8qIFs3Fy915o174T0jPsxVIpDq9d9TGGDjsPObm5aguFRSm3dvlTlKQoaSTA7NuODsuayhQl3eHot1YoSvrNI8Gyh6JksPwlrfVElJwybQFmL3w/KXdKSoiMKRm8ie8XixlT0i+eCKYdjCkZTL/5yWqvbt+uizFP+fSfuO+DO9E0Nx/vjF2O1g3a1oUZWp8ZRbuRu/tN5OxZhJzdi5BWWVpjS0WDdihpdzaK2/4cJR1+jqqM+nVmZ6wdM6ZkrMRYPpwAY0pyTjghkEhR0oldrBsMAtwpGQw/xWMlY0rGQ63u6jgWJfVdkHZDeHHyPSjofoJdsUC+T1EykG7zhdEUJX3hhsAaQVEysK7zjeHJKkru+nEHznipJ8oqSjH551Mx+kQfZcSuLEfu3reFOPmWECrfRkbhtlrzQRMo25+jCZXljfx93URR0jeHcmANoSgZWNf5wnCKkr5wQ2CNoCgZWNfZGk5R0haRrwo4FiWNo7GKKemrESfAGIqSCYCaIk1SlEwRRydomBQlEwQ2hZpNVlHy5kW/wOwvX9bESClK+vmRdXAdcnYJgXLP28j+5sNappbld0OJ3EEpBMqSNkN9NwyKkr5zSeAMoigZOJf5ymCKkr5yR+CMoSgZOJcpG0xRUhmVLwq6Kkr6YkQeG8GYkpHAmX27NhNm3w7xcCsul06X2beZfVt1uWdMSWtSXomSXmbffmXWs7iv+F50TeuKW9regeHDL8GsaVNw2VUTPI0pmZmZVQN+w9qVKCktsc2+nV78HTJ2voWFS7/AkPSF6Fz5WU0b29K74b3K83BhvxYob9kfpS0iMzgz0U0IF2NKqq6OALNvA5UVFdi9azs2b9qAs4aPUofnoCRjSjqAZ6iaSFGS2bfd8VE8rTCmZDzUWEcnwJiSwZsLFCUd+oyiJEVJJrphohuHy0jc1ZnoRg0dRcnUEiWnvvQY/lb5MH538h9w3JHOWrKToIiS0lPG7Nud0rdoMShlLMq93xXivbIzcXXuc0hDFarSc1Amxcnm/VAqXsvE6/Mz5jD7NkVJtYWxuhRFSYqSdhNm6lOP4urxk2D8osWujlfvU5T0irS3/VCU9JZ3svVGUTJ4HnVdlBxx1d3YsfsbUxLMvm0+QeyySsodJv958hGMv+lO0wb0b3i/+Gwdzh4x2nIW2u5gVOzH7ptk237EN9L/efpRjL/xN1HHY9fPm/NeQfeefdG2fUekp6dHtCW5ROsn2g5GY2N2/VCUpChZV0s/RUk18hQlU0eU/LFbMSrWHcG7LZbg6YEvYOO6VYEWJVu3bV/jvP2bl2H1ik9wWacvkPPdcmQe/DzCsX8/ejeu7roduS1PQll+D5Q16Y6Khp20ciof8vbt3YU1K5Zh+MiLxXnVPsu1vH17/txZOKlbAdp16Iy0tDTbg/LrvbtFZuxl2o60rKxs2/KygN11Ungj3CmphFUrRFGSoqTdbKEomS12uUfuTLfjxvfjJ6Byvoq/9WM1efu2GxT91wZFSf/5xM4iV0XJiXc9gnZtWuD3t11j129Svc+YkknlTk8Hw5iSnuJOus4YUzLpXOr5gLy6fduLgf1Ycgh9nz0BRWWFeOmC1zG04zAvuq2zPtJLDiD72+XIEs/sb1dov6eVHY6wpzKnKcqa9kB50+7iVTyFWFme313baen0wZiSTgmyPmNKcg44IZDInZJO7GLdYBCgKBkMP8VjJWNKxkOt7uq4Kkoy0U3dOZI9B5MARclg+s0vVlOU9IsngmtHMomSDyy7D4+vehjDOp+L585/NbhOcWB51oF1yDqwXuyi3IAs+RS/pxfvN22xvOkpmlipCZVStBRCZUX9tjH1TlEyJlwsbEKAoiSnhRMCFCWd0GNdipLJOwcoSgbLtykvSk6ZtgCPPjMrwmvGW83lDtAPl6/XypzevweefuiOWuW5UzJYk95P1lKU9JM3gmcLRcng+cxvFieLKLn/yDfoJ3ZJlleWY/bFb2NAm8F+Q11n9mQc2YvMA1KkXB8SKsVr5sFjCXSMhlXmttREyvJGXVDRqKv2Gnp2BdIib+emKFlnbk2ajilKJo0r62QgFCXrBHvSdEpRMmlcGTEQipLB8q2roqQU70adczpGnDUgMBSkKLli7aYIoVEfwJ8efR579n1b8374LepMdBPpasaUrM2E2bdDPJh92/1lkTEl1ZgypqQ1J69EyURn316T8ymafFkPn3fajIHf98fl10zEnl07kiqmpIz3uHr5UowYNcYydqNq9u2Cgt6h3ZRiJ6UUKkM7K9djV1Ee3i8diivqTUMGymtNnPKGUqg8XhMotaf4O7PFiXh98WrGlFRYimoy+Yo4mj0KnMWnk3EgFy+ah4K+g9CqTTuF3q2LMKYkY0raTSDGlGRMSbs54vb7jCnpNtHUao8xJYPnb1dFyTUbNuOeB6Zg4YsPBoaEnSgpE/fc/9vxKOh+gjam8DFSlKQoyUQ3anHJKEq6vyxSlFRjSlEyuUXJd955Df+/vTMBk6I61//b3bMBMwwM68AwIC6ILDLsCCoRvOK4ICqoiAi5RNSYRIxGc7l6s5m/xqvmJkajEhFUEE0AFQgRMCD7joqKIPsy7Psw+/T/nOqpnl6nqruqe6q635qnn+ruOst3ft/p6up3Tn3f8wefxVjxV1B4DXZ9/hVFyUaZQU7X8yPv6PcbsGnTetzWpRrp53ci5ez3cJ3dhZRzu8JOohmlY9Cn8S7kNxHiTsPW4pErbgMXjwa5tc/Fa3dqY6UNJrqhKOk7mcKtlNy0bqVSrGff2K96VhNGaiVY1PeNo6+UTMa0ecMqDL3xNktmtfYdBUVJipL6ZrV5pfR8X5nRG1dKmkHRem1QlLSeT7QsMlWUlDEl69qsmH078Pbt9nmtvKJq0dGTGDrqMSz+4CXktsxRhhb4HkVJipIUJSlKap1oY3WcoqQ+shQlLSRKrl6GJi1aobKiAtlNc7B31w64UlLQOjcPZWWlygrArt17YfXyJchp3hKZWVlwu4Hi8+fQXawu27JxLVwuJ/I7XIwD+/Zg4LXX463Z/4eZ597DeMd43D3mAcyb8z5FyShFybDZt8Vt8SnnvhcipRQqdwqh0vM8VQiX7x+7Gv1S16CjazccqA472aQoKcXKvY5OWHmmE27pXA1nZqCI2RpuV0ZQG8y+7Y+EKyX1nfv1lqIoWTcpipIUJfV+lswqR1HSLJLJ2Q5FSfv53VRR0n7DD7ZY3p4tNxk3Uo8oKcvKH0zcSCAaAuL3t7JxDkVDj3UkATmHOH84F6IloMwf5SQUbQv66zmu+wGwdCncjz4KvPSy/op1lPzuxHfo/JfLlRJbJn6B7q26m9IuG9FJQMwfR2Up3OcOAOcPeR8OEccSxUW17xWL1+Xn9TXaoDmQKRLuNBIPuRcPt3zeoAWQ0Uzsax7yeUqwgKmvE5ayCgF+h1nFE/a0g9fR9vSblazmOchK3jDPFvXcYF6LbCmWBChKBtCVt2ePeeRZyFWdekXJcyUVOF/iH3splk5j24lDQAborqxy40IZ50/ieDV+I5ErJbMzU3H8TFn8OmVPCUWgWeN0nCuuQHlV+BVuZg24xQARx3D7NlSLFZJHv/4e7nTjgtJjSx7C+99Mw+gu4/C/171qlqlsRyeBBmkupKe6cLq4XLOGs/wMnEKsdF0ogrOkCC4hWjrFc+/rmueortBsSy3gTslEdUYOqtPlo5ny3J0mngvBUnkvTay0TREPsa9OFXv5SGuM6pr3hKSquy8WjA2BVk0zcOx0Gar537XYAE7wVrMapCpzp7iU19EJ7uqYDE/evi2vg46eLo1J+2y0/gjk5jSov87Zc8QETBclfTNVv/vKZCUWo7yt+67h1+GZSWMjNjDeFXxFSdm3VkxJWYbZt+PtpcTpj9m3E8eX9TESZt+uD+qJ1We8Et1Ias2GD0P6ys8VgOcffQJn//vXhmB+c+IrXD/Tk1hv+Zgv0LGJJ/Yzt/gRiEX2bWfpMbikaCnFSyFcyuzhiohZehzOspPicQKOUrEvPwlHlbYYWhcNRdT0Ey4bC+FSvCduNZdCphQ0leNCzFRETSFoeup49orAKd9PaRQ/6AnWE7NvJ5hD4zwcZt+OM/AE644xJRPMoT7DYfZte/nWVFHSNzO1r5i3YMlavDJ1tiUT4Eg7fRPzyNf9e3XxCqjMvl07ofXG3GH2bf+TALNve3gw0Y35Xw6MKamPKWNKhucUL1FSZt/ePekhrMjPQ4tjx1Ceno6sbldi9xEhNkUZU/Jfmz7GlHNv4MHGD+Ou//gh5s+dhTtHj2dMyVFj0dDsmJJhppAUJefN/bDesm87Ks7CKQVKRaz0CJZyf/jYKazfV43CdofQsPoUHBXnxUOUVffl58Rt5+d0xb5YU9Efpe4M9BdxMzMcYVbTOJy1KzF9BEzv6kzxXqmrMTYWNURqaioKOmYrsTPdKQ3gdooVw+I29NrX6Z735XEZX1Punal+HmBMSX3nfr2l9F7f6m1PTzkmutFDSbtMLEXJ8vIybN2yAalpjCmp7QlzSzCmpLk8k601xpS0n8dNFSXlikg1KYyvKBm4+tBKmHxXdkq7Qq3o9C0zqG83Jd6kujHRTbA3KUpSlAz1Gacoaf6Zj6KkPqYUJa0lSjYvK0eFSGrTNL0BdmRnRSVKOpulYcmW+ZhXPQ//r90L6N/vBxQlhZvfm/oqRiSRKBluZkvBZ8vGNRg89CakZ4QPE+CoOOcVKqVw6RTCpUMIlk4hWMq9FDI37ytDeXk5+uQcQUb1af/jopxTETiLNU9GZe50rKkYgDSUYUDaas3yfgWcKYp46a4RL0scjfHRmWtwVfb3aNvgDCCOC2VTlBF7pwtuh9x7Hspz8fAck69dymuIvXyvrCoFb2zOwiMD5G3znveUun51asv7HZNllL48fe4/fh5bthfh5msLatsQgq2vHcpzb/sutMrJxLEzVahS7BJlazZm345sisSyNBPdUJSM5fwK1TZFyXgTT6z+KEraz5+mipJSiPzbS08qmartslLSqMsoSlKUZPZtZt82eh6Jtj5FSX3kKEpaS5TMycxC1aGDaC5WTG674gq4xMqxSLNvry5ZidLjF5DduSV6FRegoPcAipIUJb0TXa8oqecMousfam6RSVwInI5yIWpWCnFT2dcIllLoFIJnZelZbNpXgTRHGfo0F7eeV5bAUS0yzos9qsrErejitUga5KgSD/l+hTzueR8i+7nvVioEztlld+LqtOVo59ynZxhhy8i2/lg8CU9lPmeoHbeIz7m76iKsrhiIezPeia4tIUoqgiVSsax8kNg7cE2jjbVCqVd4lcKmR1xVBU5fEVWKm25R1lcA9T73EV7VulWinT2n0/DNsRTcLLLCe+rLLE5CJFWE0prnCPG+01PGLcu5ZTm1rMPzXkB9te0iEUdz/fYTKOzTDimumnpeajWxTv0yNQS8J5KTKTbKzZvtxee5PKQmMFOPezOb+ZTzjavq7a821qpbvPf67LX4z1v7ICVFMFf78yZH87EhsD+NtlW7vePwbdt37KrdIXg0EjEl3SKm5IWyKg//AB7S/mBGNaBDclOzv4ncXJWV+PKbnWJ1cwquvKImPEgYRkqLav+BjOrir9MnQYw8g6r9nHnbCfFeXfPIpx2v+dKPIbnVNd9quXnrSvsC5kTIcQT2J14rouTGteL/HS706NU/uvOJjlq8fVsHJBsWoShpP6eZKkpOmTEfsxd8rtwOrYqSrVs2w9BRj2HSAyMxYfRN9iOkw2LGlNQBiUVCEmBMSU4MIwQYU9IIPdaVBOJ1+7bsS40peeKjhUhb9m9kvfQ8ygZdixNz/xmRM1YfXI4759yAVFcaNozbgeYyKzO3eiEQi5iS9TIQq3cqRElFtJQipSJWesRLKVY6pGCpiJbq8yo43DXvyePyuXio5RxuKd54jvs9V9oQddX2/OrINgKOeduQbYk2VVu8dqj91hwT78s2vOWU9kWb4n23WleIu9xIgARIgARIwAiBcz0mI2vI74w0wbpxJmCqKCltV2/V9h3HC08/hMIhnmD0ibhRlExEr8ZnTBQl48M5UXuhKJmono3fuOpLlCzv0w8te4pVkoeLcOrVKSgZNVr3oMd+cjuW7F2In/Z+Ek/2/x/d9VjQfAIUJc1nmmwt+iW6EaKkIopKAVMRKj0CarDw6nNMFWBDCa+qkKoKqAHCq9Kur7gqRVFFGBXrudTnNa897wv75NIv77Ha50p5h3xd855vG2odUV/WVdoQcXaVZWSyvLKq0bv00PO+3Op6Ty6uDCwX2I6yAi26ttW+xQ9Fjy2+7ag2e4ystVVdpKfW8S3nHYvPOGve845DHXPQOEIwqmlbrnSTKyWrq2UZvW37fMpC8Y/QJ36M6vJJKB7RMvJl78vNuzSxxu96WPrUqUUYwDKSdnznrdqgz3t1zttQ8y3ZToocr2ECFCUNI4x7A6aLknEfgQU6pChpASfY1ASKkjZ1nEXMpihpEUfY2Iz6EiXLBl6DRm9PQfbjP0Vlx0twdN2XuiiuOrgMI+fciEyROESuksxKb6yrHgvFhgBFydhwTaZWmX07mbxt/lhjmejGfGvZotUI8PZtq3nEPHuYfds8lvFoyVRRUmaqnvXRZ/h66dt+tssEOKESyMRjgLHugzElgwkz0Y0/E2bf9vDQFZcrgg/szGl/xc0j7kFW4+wIahkrunjhR7i0Uxfk5XeAyyXjXtXvxpiS+vgzpmR4TvESJX2zbzdt2gzlIvlIdtMc7P3+O6SWlaFNegaKW+eKUFQOdO3eC6uXL0FO85bIzMpSFuwUnz+H7gV9MGvRWzhacgR57S/CZY7LMPDa67Fi6aeMKVnjYia68YCIe0xJHacibybfVJE0Q8xlIxuzbxuhF1yX2bfr5slEN0x0Y+4nTrs1JrrRZsQS4QkwpqT9ZoepoqSMI/nI+NuDbtVesGQtXpk6W4k1mWgbRclgj1KU9GdCUdLDg6Kk+Wc/ipL6mFKUtLAouXM7UktL0a6oCGd79YEjLS2sKJl9cXPMX/qhiHpXhdsHjMHpomMUJQNcS1GSoqS+s2JtKSlwzpj2GsY98GikVf3Ky1toDx3YK77r12PYLSN1txVupSSzb+tGGPOCFCUpSsZ8kgV0QFEy3sQTqz+Kkvbzp6mipFwR+e4rk1HQtSZDWQ0PNc5k4ApK++EKtpiiJEVJZt9m9u36OpdRlNRHnqKkhUXJXTuQKjKc5u/ejfPt8lHdvkNYUXKtcy0q9l5A66w2GFJQiAP79lCUpCgZcnJzpaS+c6MsRVFS5umpwoH9e7Bj21YMGTZcPzwDJeUc3bxhFYbeeJvIap1qoKXYV6UoSVEy9rPMvweKkvEmnlj9UZS0nz9NFSWTcaWkdDljStpv4lvFYsaUtIon7GkHY0ra029Wsjpet2/LMftm35YxJdUt9euv0OJaTzK8k2/PROnNwaLAufKz6DolD5UiMcU7t87Bdfk3WAlj0trCmJJJ63rTBs6YkqahTMqGGFMyKd1u2qAZU9I0lJZriDElLeeSOg0yVZSUt2k/8dvXsPiDl5DbMkfpuOjoSQwd9RgSOQM3RUl7TXorWUtR0kresJ8tFCXt5zOrWWwFUVIyyXzlZTT+1WRUibiSxz5bheqWrfxQvf3l65j8+SQMzh+K92792GoYk9YeipJJ63rTBk5R0jSUSdkQRcmkdLtpg6YoaRpKyzVEUdJyLomfKCl7Um/V9u011C3d9sJUt7UUJRPJm/EdC0XJ+PJOtN4oSiaaR+M/HquIknLkOaPvQMan/0TpsJtw8t0P/WDc8vfB2HR4Hf78H2/h9svujj8o9hiSAEVJTgyjBChKGiWY3PUpSia3/42OnqKkUYLWrU9R0rq+CWWZqSsl7TV0c6xlTMlgjkx048+EiW48PJjoxpxzjm8rjCmpjyljSobnFC9RMmz2bRFT0pWSgta5eSg/dxap275B/88/xz9HjkTTdh2U7NsnLhzD2t0r8VXGVjzU/Cci870T+R0uZkzJEG5lohsPFMaU1HdulKUYU5IxJbVmC2NKMqak1hwx+zhjSppNNLnaY0xJ+/mboqRBn1GUpCjJRDdMdGPwNBJ1dYqS+tBRlLSHKFlWVgrXmdMY+M50LCwsRE7L1mgoEt9sLFqLIyeLkH1xC3Qr60pRcvgoOByOkE6lKElRUt9ZsbYURUmKklpzhqIkRUmtOWL2cYqSZhNNrvYoStrP36aLkjLZzd4DR0KSYPbt0BPk0/mz0blrD7TNaw+nyxVUSK4weeu1FzHhx0+EbEDNGvjdN1/i+sIRYWeh5gpGnf1oZSfU7EdkOXzr9Zcx4eHH6xyPVj8LP/k7ul7ZG23y8uF0OoO5afRT1wpG38a0+qEoSVGyvk79FCX1kacoaR9RUoptfXbtwVJ3BVqePo3Uqwdj9p45aFDVADcNHokz3x+nKElRUvODz5WSmoi8BShKUpTUmi0UJSlKas0Rs49TlDSbaHK1R1HSfv42VZSc+IsX0Ta3BZ6ZNNZ+JAxYzJiSBuAleVXGlEzyCWBw+IwpaRAgqyNet29L1OGyb4dyQ7O7hiN9ySK8Oa4nHuiwCf1yB2L2HYvoMYsRYExJiznEhuYwpqQNnWYhkxlT0kLOsKEpjClpQ6fpNJkxJXWCskgxU0XJLoPHIdGT2oTyG0VJi8xmG5pBUdKGTrOQyRQlLeQMm5piVVHStX8fWgy5CtffchKfXQT84bq/4N4rxtuUcuKaTVEycX0br5FRlIwX6cTsh6JkYvo1XqOiKBkv0vHvh6Jk/Jkb6ZGipBF6NXUpSpoAMUmboCiZpI43adgUJU0CmcTNWFWUlC7ZNfvPuPrQk2hYAewomA0MHpbEnrLm0ClKWtMvdrKKoqSdvGU9WylKWs8ndrKIoqSdvBWZrRQlI+NV36VNFSXl7dvDbxiEwiH96ntcceufiW6CUTOmpD8TZt/28GD2bfNPS4wpqY8pY0qG5xQvUVJP9m2Z6EbGlOzavRdWL1+C0yln8e25rbjsuBtdyluh873/ic3bv2ZMScaU1PzgM6akJiJvAcaUZExJrdnCmJKMKak1R8w+zpiSZhNNrvYYU9J+/jZVlNy8dQcmPzcFC9593n4korSYoiRFSSa6YaKbKE8fhqtRlNSHkKKkPUXJ7WXf4UT1CQw7noOGZyrQu7gEy28spChJUVLzg09RUhMRRUkfRGrCSK0Ei/qpapeUc3TzhlUYeuNtSElJ1a5QjyUoSlKUjPf0oygZb+KJ1R9FSfv501RRUsaUrGtj9u3QdJh925+L3otDrazYsp26snwz+zYgGezfuxs7d3yLITfcqvsMFs2qx2jq1GXQzGl/xc0j7kFW42zddhstuHjhR7i0Uxfk5XcQwkiK0eYM16coqQ8hRUn7iZJLly7AjvLtSMlIxQ2tBqNs9Qpc9dln+Pz2O+C+vDPyO1yMA/v2YOC112PF0k9R0HsA5s+dhTtHj8e8Oe/j7rETcXD/Xnz95UYMHnoTPpwxBXeNeQCfffqJUrZVbltsWrcSboHmyp59sWjBXPTo3R+ZmY1F/Zm45/4HFWgXis9jzgfTce/4h5XXgeed8vIyzJj6GsZNfFQ5Hk5o2LplA8pE2W49eiMtLR1ut1uxt1e/gcht087PQZWVFcKeOcLOq9C6TZ73WNGh/cLmVSikKKn5wacoqYnIW4ArJblSUmu2UJSkKKk1R8w+TlHSbKLJ1R5FSfv521RR0n7DN8dixpQ0h2MytsKYksnodfPGzJiS5rFM1pbidfu25BtJ9u37592BxXv+iV9f/QImXPljpG1cj2a3/AccQtgrnuIz7MAAACAASURBVPAgzjz3UrK6zFLjZkxJS7nDlsYwpqQt3WYZoxlT0jKusKUhjClpS7fpMpoxJXVhskwhipImuIKipAkQk7QJipJJ6niThk1R0iSQSdyMFUXJvWd24ap3uipe+XrCQTTJaKo8z1g4HzljRirPi8f/CGde+L8k9pw1hk5R0hp+sLMVFCXt7L36t52iZP37wM4WUJS0s/fqtp2ipL18a7ooKeNKjnnkWT8K774yGQVdL7UXmQispSgZASwW9SNAUZITwggBipJG6LGuJGBFUfLFdc/iJfG4o9M9+NP1f/NzVMaihci553aPMHn/f+LMi3+mI+uRAEXJeoSfIF1TlEwQR9bTMChK1hP4BOmWomSCODLEMChK2su3poqSC5asxRO/fQ2LP3gJuS1zFBJFR09i6KjH8MLTDyVkVm4mugme8My+7c+E2bc9PBhT0vwvB8aU1MeUMSXDc4qXKBlJ9u1ZZ95H35JeaNGiNdq16CDiLwoB8vw5dC/ogy0b1yL19Cl0mfMP7LzoIvwgrQEWXHMNY0rWuPi9qa9ixKixaNgoM8jpemJ0ybiVm9evxrBb7oDT6dL8gElRct7cD9GpSwHatuugZE/X2g4fOiD8uBpDhg1HamqaVnHluFbs7cBGGFNSF1alEGNKMqak1mxhTEnGlNSaI2Yf1/N9ZUafFCXNoGi9NhhT0no+0bLIVFGycMyTeGT87UHioxQrX5k6OyGzclOUpCjJ7NvMvq11oo3VcYqS+shSlLSPKHm2/AzePTkNtzpvRce8TsjMygoSJV0uJzpWVKFoxVIUfvwxPnngQXQdO4GJboSbKUp65jpFSX3nRoqSHk56Eyzqp6pdktm3tRnpKRHLlZIykZlMUpaaRlFSjy/MLENR0kyaydcWRUn7+dxUUVJm3w51q7Z6Szezb4eeIForAOQKk7deexETfvxEyAbUi6nvvvkS1xeOCDsLNVcw6uxnx7atygqHcJtmPxpZsfVeHDL7tr8HosmkHU0d2Ws0qx6jqVPXKZXZtwGKkvq+dClK2keU3HNmJxaUzMfItJFo27pDWFFSZt8+tGUjhj/3eyy4/nr0SW+IWRe1Z/ZtrpSkKKnvtOgtxZWSFCW1pgxXSlKU1JojZh+nKGk20eRqj6Kk/fxtqiiZjCslpcsZU9J+E98qFjOmpFU8YU87GFPSnn6zktXxun1bjlkr+/bR4sMomNpRwbP+/u1ok5WniSp9xTIRY/IOOEouoGTUaJx6dYpmHRYwjwBjSprHMllbYkzJZPW8OeOO5UpJcyxkK1YmwNu3rewdY7YxpqQxfvGubaoomYwxJSlKxnvKJlZ/FCUTy5/xHg1FyXgTT7z+rCRKTt/6Jn659GcY1vEW/K1wlm7YaauWo9noO+EQcSdL7rgLp16fqrsuCxojQFHSGD/WBihKchYYIUBR0gg91qUombhzgKKkvXxrqigph87s2/aaALS2fglQlKxf/nbvnaKk3T1Y//ZbSZQc/fGtWLZvMf449A2MvHxMRHDS1qxEzmiRnOXsWZSMGIlTb06LqD4LR0eAomR03FirlgBFSc4GIwQoShqhx7oUJRN3DlCUtJdvTRcl7TV849Yy0U0wQ8aU9GfC7NseHowpafx8E9gCY0rqY8qYkuE5xUuU1Mq+ndOyBbYc3IBq8TdqyDhsXrUKOc1b1hlT8sC+PRh47fVYsfRTT/btOTPx0FtvYfrtt+PBjVuw9elf4av9ezB46E34cMYU3DXmAXz26SdK2Va5bbFp3UqIxN64smdfLFowFz1690dmZmPME+3cc/+DCrQLxecx54PpuHf8w8rrwFi2MhHCjKmvYdzER5Xj4ZJXyGQJZaJstx69kZaWLpL3uJXEPL36DURum3Z+DqqsrBD2zBF2XoXWbWpvYZeZsTetW4XC4aPCZrlmohsPSia60XdulKUYU5IxJbVmC2NKMqak1hwx+zhjSppNNLnaY0xJ+/mboqRBn1GUDAZIUdKfCUVJDw+KkgZPNiGqU5TUx5SiZHhOVhEl3Y0d2H9iD7LSszH82ruxevmSyEVJIfKN7tYLH636N372v/+L7/v1w6pRd+OaO8dQlBRTQM+PPCl8bl6/GsNuEatOnS7ND5hcKTlv7ofo1KUAbdt1CCuW+jZ0+NABbNm4WkmYl5qaptmHLKCVEDCwEYqSurAqhShKUpTUmi0UJSlKas0Rs4/r+b4yo0+ulDSDovXaoChpPZ9oWWSKKKnGknzh6YdQOKSfX591HdMyzg7HKUpSlJSi47Q3/oQfPvRYyClLUZKiZKzOZRQl9ZGlKGl9UfJE6gkUXziPvMb5GNz/xqhFyTtHj8e8f8zAjz9dhIO7d2Jd//4Ycnk3vJ3m4ErJ6ips2bAGTpcLPXr1DzkpKEoGYzHrH2pyVa1cMSuF2G4FffSdvMKUkkKi76pfI41RlKQoqTV/KEpSlNSaI2YfpyhpNtHkao+ipP38bYooOfEXL6Jtbgs8M2lsSAK/eXk6DhYdw+t/+Ln9COmwmNm3dUBikZAEGFOSE8MIAcaUNEKPdSWBeK2UlH2Fy77tFjdRX/LX5iitLMHasdsUYdKMLfvJSWj0t9eVpkpvKMSZ37+AqvYXmdE026ghwJiSnApGCTCmpFGCyV2fMSWT2/9GR8+VkkYJWrc+Y0pa1zehLDNFlOwyeBzefWUyCrpeGnL0avKbr5e+bS86Oq2lKKkTFIsFEaAoyUlhhABFSSP0WFcSsIIouWTPQoyddzt6tOqF+SOXm+qYBnP+juz/ehzOY0fhbpSpCJMX7r3f1D6SuTGKksnsfXPGTlHSHI7J2gpFyWT1vDnjpihpDkcrtkJR0opeCW8TRUkT/EVR0gSISdoERckkdbxJw6YoaRLIJG7GCqLk5GWT8PZXr2NS3//C433/23RvOI8fQ/YvH0eDOR8qbZeMvAdnnn0B1Tk5pveVbA1SlEw2j5s/XoqS5jNNphYpSiaTt80fK0VJ85lapUWKklbxhD47TBElC8c8iWefmlDnSsnJz03Bgnef12eVjUoxpmSws5joxp8JY0p6eJgVl0ulG5gFNx6njcULP8KlnbogL78DXK6UeHRZZx+MKanPBYwpGZ5TvETJurJvl1WXYZ9jH67MKUCjtCx07d7LWEzJOe/j7rETcXD/Xnz95UZv9u1xqQ2xZNNaXL1sGdpUVmHRL55CRafOzL7tMz0YUzL4s2LWdxdjSoY+D4UTJTetW6lU6Nl3oL4TvYFS1VVVOLB/D3Zs26okYIrHJpMxbd6wCkNvvA0pKanx6DLqPhhTkjElo548UVZkTMkowbGaQoAxJe03EUwRJafMmI/1W7aFjRmpFXPSfthqLaYoGew9ipL+TChKeniY9cNOpUtREqAoqe/bg6KkdUXJPbu2o7S6FMdSjqFn875K9uZYiZJ3jXkAS0WG7muWLELH2f/AsmuvRXnP3uj088lY9Okn6NG7PzIzG2PenJm45/4HFWgXis9jzgfTce/4h5XXgecdKTTNmPoaxk18VDkeTmiQCU7KRNluPXojLS0dbrcb84UtvfoNRG6bdn4OqqyswKIFc1DQ+yq0bpPnPSYFw03rVqFw+KiwWa7fm/oqRowai4biVvXATc+PPIqSwZ8Vs767KEqGPg9RlKQoqe+bPHSpWK6U9H5m0yhKGvFRNHX1fF9F025gHa6UNIOi9dqgKGk9n2hZZIooKTuRqyXlFrgaUr6/98ARJGo8SYqSwVOMoqQ/E4qSHh5m/bBT6VKUpCip9QWnHqcoGZ5Ufa+U3L1zO8rcpajKcqNDo44xFyXVjMUX/+MDbP73p3ALEbTfsRN4f/x4dP+PmyhKCuFz8/rVGHbLHXA6XZofMXn79ry5H6JTlwK0bdchrFjq29DhQwewZeNqZUWazEStZ/t0/mx07toDbfPaK9nDtTYpDm/ZuEZZJZuekaFVvM7jZn13UZQMjZmiJEVJIx9QipJG6Fm3LkVJ6/rGDpZRlLSDl/xtNE2UlM3KFZMvv+GJ2aRudw2/LmxWbvvhCm0xY0omiifjPw7GlIw/80TqkTElE8mb9TOWeImScnShsm+PmD0U6w6twps3zkThxfG5bVIlnbplk5IEJ23dGuWt8w//FOee/G8lIQ43fQQYU1IfJ5YKT4AxJTk7jBCIpShpxC7WtQcBrpS0h5+isZIxJaOhVn91TBUl628Y9dszRcn65W/n3ilK2tl79W87Rcn694HdLahPUfJYyVH0+FsHOB1O7Jh4DBkpDeoFZ9bvf42slzwxr6ubt1CEyeLxP6oXW+zWKUVJu3nMevZSlLSeT+xkEUVJO3nLerZSlLSeT8yyiKKkWSTj0w5FSRM4U5Q0AWKSNkFRMkkdb9KwKUqaBDKJm6lPUfKDb9/BpCUTMaT9MEy/ZXa9eiFt43pkPf9bpH+2WLGjUiTAOf/gI7hw3/h6tcvqnVOUtLqHrG8fRUnr+8jKFlKUtLJ3rG8bRUnr+yhaCylKRkuufupRlDTInTElgwEypqQ/E8aU9PAwKy6XSpcxJRlTUu/pmzElw5OKlygZKvv2rrKdyC7OgsPpQLu8jigrK41bTMlWuW1F0piVcAs0V/bsKxLLzFUS3TRfvgxz9uzAoy+8oEA71bU7/jbyToz+8ePKaya68Z9LjCmp9ywEMKZkaFaMKcmYkvo/RcElYylKMtGNEc8Yq8uYksb4JXttxpS03wygKGnQZxQlKUpK0XHaG3/CDx96LORsoihJUdLgaSZsdWbf1keWoqQ1Rcm1p1bhEvclSE1JUzJQW0GUVLNv/2d6Jhr99RWU7t2NNx94AD/9xxwUi5WTU1KBm0fcg6zG2QpUZt9moht9ZyGKkuE4UZSkKKn3MxSqHEVJI/SsW5eipHV9YwfLKErawUv+NlKUNOgzipIUJSlKpuv6FHGlpC5MERWiKKkPF0VJ64mSp11V2Hx2Izo7OisZmFvn5llKlLzn/gcVaNUfvIdZ+3bi5889p7z+4+OP444mLeB68CcUJQUBrpTUdw5SBeytWzYo871bQR/9FUOULC8rg5pJXq76NbLJtmZMew3jHnjUSDNwu904dGCvuCtivcjePlJ3WxQlKUrqniwhClKUNELPunUpSlrXN3awjKKkHbxEUdJ0LzGmpOlIk6ZBxpRMGlfHZKCMKRkTrEnVaLxu35ZQfbNvP1X9CaZ88Rf8tPcv8GT/X1meeYM5HyorJ2XsSblVtWmrrJw8L8VJp9Py9sfKQMaUjBXZ5GmXMSWTx9exGGksRclY2Ms2rUWAMSWt5Q8zrWFMSTNpxr4trpQ0gTFFSRMgJmkTFCWT1PEmDZuipEkgk7iZ+hIl++7+CXad3oE5ty9G3zZX2cYDDT6eI8TJPyNt3RrF5uqWrTwJccb9CNWNG9tmHGYZSlHSLJLJ2w5FyeT1vRkjpyhpBsXkbYOiZOL6nqKkvXxLUdIEf1GUNAFikjZBUTJJHW/SsClKmgQyiZupD1Fy+ay/4ppvH0TLhq2w+Ye7bUk/Y/7HyJQrJ1ev8NjvcuHCPffhwt33orz/QFuOKRqjKUpGQ411fAlQlOR8MEKAoqQReqxLUTJx5wBFSXv5lqKkQX8xpmQwQGbf9mfCRDceHowpafBkE6I6Y0rqY8qYkuE5xUuU9M2+XZbpwPGKM8jIaojG5zPhSkmxbEzJC8XnMeeD6bh3/MMKxMDs285/foKp323FL3/3W+X4/vx8LLvlFhTmtETljbeg8rLLlfdlLMGy8jJ069EbaWnpSvy9+XNnoVe/gUqSH9+tsrJCZAOfg4LeV6F1mzzvoaJD+0XG8FUoHD5KyVIeantv6qsYMWosGjbKDDqsJ0aX7GPz+tUiJuAd4q50l+YHjDElNRF5CzD7dmhWjCnJmJL6P0XBJWMpSjL7thHPGKur5/vKWA+e2hQlzaBovTYYU9J6PtGyiKKkFiGN4xQlgwFRlPRnQlHSw4OipMGTTYjqFCX1MaUoGZ5TfYiSxxoUo7y6CnmtOqD86AVbi5Jq9u0J192IhjPfxYllS7CiezeMmjULqeXlqOjRE6WFt2Bt164oadKEoqSYiocPHcCWjasxZNhwJemLnu3T+bPRuWsPtM1rD6dYlaq1HSk6KPpYg8FDb0J6RoZW8TqPm/XdRVEyNGaKkhQljXxAKUoaoWfduhQlresbO1hGUdIOXvK3kaKkQZ9RlKQoyezbzL5t8DQSdXWKkvrQUZS0jii5PD8Pu9OPIV389byoHw7s2Z0QouS4iZ7MxVIM++KfH2HEli+RNW8unGfPKu+vGTAAF/Lb48qLLkV14a0o73wFV0pSlNR3AgtRitm3o0YXsmJ1VRUO7N+DHdu2KmJ5PDZ5rti8YRWG3khR0ghvipJG6Fm3LkVJ6/rGDpZRlLSDlyhKmu4lxpQ0HWnSNMiYkknj6pgMlDElY4I1qRqN10pJCVVm3/7g/OcYOwIYnD8U7936ccKzzvjnPGQs+EQ8PobzzBnveCu6dldWUJbedCsqunSzLQfGlLSt6yxjOGNKWsYVtjQklqKkLYHQ6IgI8PbtiHDZqjBjStrKXeBKSRP8RVHSBIhJ2gRFySR1vEnDpihpEsgkbibeouT41p9jptDgfn31C5hw5Y+TinzGvxbUCpSnTtUKlEKUlOKkFCmlWGmnjaKknbxlTVspSlrTL3axiqKkXTxlTTspSlrTL2ZYRVHSDIrxa4OipAmsKUqaADFJm6AomaSON2nYFCVNApnEzcRblLys7+fYlw18NnojOuV0TlryGYsWKqsn5SpK54kTtQLlFV2EOFkjUHbvYXk+FCUt7yLLG0hR0vIusrSBFCUt7R7LG0dR0vIuitpAipJRo6uXihQlDWJnTMlggEx048+EiW48PMxKFqDSDcyCa/CjrKv64oUf4dJOXZCX3wEuV4quOrEsxJiS+ugypmR4TvESJWX27Q1PTsC6/Itw2nEKl+d0RXbTHOzdtSPhYkqGihNXV/btDt98iwaqQHn8GCrS0jBr1CgM+m47Wl7SCeUDr0bZwGtwwOVg9m0mulE+zIwpqe/cr7cUY0rWTWrqX1/GfRMeQUpKql6kcSsXS1GS2bfj5sagjhhTsv7YJ0LPjClpPy9SlDToM4qSFCWZ6IaJbgyeRqKuTlFSHzqKktYQJf/+qzE42qIzKlPKkJfdkaLk3Fno1W8gctu08zoofckiuBbOwyeOKly7eDHy9+3zHts16GosGzQIt+Xmo7KgNyrEqsrA7b2pr2LEqLFo2Cgzqh95RYf2Y/P61Rh2yx1wOrWzXMuVkvPmfohOXQrQtl0HOBwOzQ8ls2+noVtBH01OdRWgKGkIX/Bng4lu6gRKUVJ8ZnsY+8yaO2MTvzWKkonv41iOkKJkLOnGpm2Kkga5UpS0lihZ7a5GRXU5yqvKUVZRhrlvv40b7huFSneFeK9COVYhjpWLfVl5Kc4eOYUz+48ju3tLVIgynmOevVrO9W0lyltVoyyrEm75J/qQ/agPd7UbuVub4mC34woMWUbZu5XSQDXQ4Hw6Mk81wJH8k95j8klaqkO0I1Y9VFShzb4WOJ1zFiWZZUrbShsOtS3A6Xbg4u/ysf3yPbVt1/RT0zEyzzdEk7NZ2N+myM+OQLvU17LNzOJGyDnfBLtae378eu32vAgak3yj1ZkWSKl2oajxEVQ6q+ruS/xGlW22PZur1DmYXYQKR4XynscOz1b7upZfkN01bcn3rzk8AOuab0KJq6S2vjweyF9H28o4fdpWbAnxut+ZPtiXsR+HU4+g2uHxUX1uUgCQt55UVgXb4oQTg85chW8bbsOxVM/cTNbtjuO3YXazj7yfp2TlEGrcKS4nqsRJSP38xYqNnI+tjzZGb8dApKc70TQzl6JkCFFS8q+srMCiBXPQJ6cl2m/divSVnyNNPPY3bYplP/gB7ps2TQYEhzurMcp7CnGyoBfKxUPup/9LZP6mKKlkQd+ycQ0GD70J6RkZhqa1Wav8vauuUilK+jok3O3bm9atVIr17DvQkP/0VOZKybopUZSkKKnnc2RmGYqSZtJMvrYoStrP5xQlTfAZY0rWQpRC3omS4zhfcQ4XKi/gQkWxeFxAidxXep6r+0oh/knxUBURK2rEQCkYKoKgeFS6K73PVZGwokZcVOrKhyImegTHyupKEzzKJkiABEiABGJFYFGnP+GK6yfEqvmEbTdt/VqkrV+D1E0bkLZ5I1x79wSNtapdvkeg9BEr3Q0bxYwJY0rGDG3SNMyYkknj6pgMNJa3b8fEYDZqKQKMKWkpd5hqDGNKmooz5o1RlDQBcSKLklJUlCLjydITnn3JMZwoPY4TF8TzMvHeBfFavO8pcxxny86YQDT6JpwOJ1KdaUhzpSHVlao8T3V69mnqa3EsTb6fUvteiiijvKccE+WV+jXlxN4lVvnItuXKNIfYy+fehzgml9Upt63JBXZKGc8tbOKZZx/mdYO0FFSLVUoVVep6QZ/yymI99bV2W2pZ0Zl23zV2em0MY3fEbfkw8I7bpy/PKAKZePwdkpGvnQFtK7YFHHeIlZ918fbr29cuDbsVn9bYHf3sNL9milglmdUoBafOVZjfOFtMCgJNMlNRXCL/+aOeg2I37OxHH0balk1o9/pCJUYiN2MEXIeLkCrESfmQImXq5g1wnj4d1KjM6K2spqwRKs3M8E1R0pgPWRugKMlZYIQARUkj9FiXomTizgGKkvbyLUVJE/xlJ1FSioYnhLCoiozyuUdsFAKjEBUV0dErMp5QVjpGsqU4U5DToDmyUhujYWpDNExphIZpnn2DVPE8RTyXe/GQYqEiHqoiYo0YKMVBRSRUjgmBUIqHXsEwQGz0Coce4VH2b6eN2bft5C3r2crs29bzid0sileiG8ml2fBhyq3IJz6iKBmreZKy7VshUG7wESo3BnXlFol0Ki/thMpOIr7nZWJ/2eWoEI/KTpfL/w5FZBpFyYhwsXAIAhQlOS2MEKAoaYQe61KUTNw5QFHSXr6lKGnQX1aLKTm08DbsPbMLe87s9uzP7sLe0+Ih9r1P9sRa91rsFH8iImLQyOUqs6cdT+M34k/dMlIaICejGZoJobF5Rgu0r26P1sUt4b48Dc0atkCzjObKMU+ZFmiS0RTMvu2Pltm3PTzMisul0mX2bYjVvE40yUrFsdNlQZ9nGSNr4bx/oKDPAL9EGgZPebaszkQ34d0WL1FSZt/ePekhrMjPQ9OmzVAu4vwx+3ZwohvpKTWmZEHvq9C6TZ7XeTIJzaZ1q1A4fFTYhDKBiW4c5eUegVLc8u38YjPWi5AnqceOYtCKFcGTwunEroGDsLxvX9xWLq4R8tujMr8DqvLzUdW+A9xpwUnNmOhG/ymRMSVDs2JMydssmdXa11uMKcmYkvrPdOaUZExJczgmayuMKWk/z1OUNOiz+hQlj4tVjV8e3YyvjmzCvr070fBkBt6q+FvYEd2De/B16jc41+AcmjTwCI1SWMxJF88bCmFR7M9+dhh9Rl6HpvK4EBwz07K87ekNBE5RkqJkqElIUdLgySZEdYqS+phSlKQo+eGMKbhrzAP47NNPUNB7AFrlthUC30olLdaVPfuKxDJz0aN3f2RmNsa8OTNxz/0PKtAuFJ/HnA+m497xDyuvA/8ZIoWmGVNfw7iJjyrHZYKVzRtWYeiN/kLD1i0bRHK1MpHBtTfShLgnEwvN10h0Y4Yo6et59Ueeq6oSfdIbIWX7NvH4DinffevZ796JvUKA/HzwYIyeMQOuSv8YzVVt81DVTgiVQqCUImWVEC1dl3TER/v34LJeA5h9W+N0RFGSoqQvgXDnCn3favEtRVGSomR8Z5zIEVpdhS0b1sDpcqFHr/4x654rJWOGtl4bpihZr/ij6pyiZFTYaivFU5S8/Nbe+PLYZs9DiJFyJaTcXOKvo7sjejl64X3x165xe7TP7ogOjS9CfvZFYt8R7Zt0xN5V29D9yr7ih0N7OMWKiMBNrmR567UXMeHHT4SkQlEyPyQ3uRJy2ht/wg8feiwkN66U9GChKGnwZBOiOkVJfUwpSobnxJWSySdKhvuR5ygtwVGRSGfjtq0YcaEU6Xv2wLVvr5JQJ2XfHvkrMeREmnHvvei7YQPai7stqvPyPKsrFdGyg0fAFPvqnBxv3cOHDojM2KsxZNhwpIpM1Hq2T+fPRueuPdA2T1y/iB+pWhuzb2sRqj1eXiaE9WlCWH/AI6xHu0mh/dCBveK7fj2G3TJSdzNcKcmVkronS4iCsbx92/uPBBHyoluPPkbMZN0ICVCUjBAYi/sRoChpvwlBUdIEn5W8MxPnLhHxmERMJjO20qoSfHlEFR83KQLkjlPbgppulJqJ7i0K0K1VgWffoociQKaIhC7c7EGAMSXt4SerWsmYklb1jH3sipcoKYkwpqR95kUoS1VxUu5d+/chRexT93tES4dIulPXVp2drYiTUqysFCssFaGyZStUiUd1K7Fv1RqxzBJub/KJbT1jSia2f2M9uliKkrG2ne3XPwGulKx/H8TKAsaUjBXZ2LRLUdIoV5+g8O70DFR06YrKK7qionMXVIrnFZ27orpZszp72XJkg3cF5BeHN+KbE18FlZeZoKXw2L2lR4Ds3qInLm/exaj1rF/PBChK1rMDbN49RUmbO9AC5lOUtIATbGyCmujm9LHTQpzcq6yoVERLsU+pWWUpnzvPntUcpTursUeklGKlECprRcvW4v3WympLd5MmqM5uimqxF7cuaLbJAtYnQFHS+j6ysoUUJa3sHevbRlHS+j6K1kKKktGSq596FCWNcp8wAZWHj8CxdatyIR5qk3GYPCJlN1RcIfZCqFycWYTFe/6pPPadDa4nVz1e2bInuomHKkQaNZX1rUeAoqT1fGIniyhK2slb1rSVoqQ1/WIXq/Rm33aeOOERKmsES9eB/XAdPQKneLiOePaOkgsRDbu6cWO4s6VIKR5NmtYIZk0aAAAAIABJREFUlp7Xingp3pPiZXVj9XVNOXk8lXeURAQ7hoUpSsYQbhI0TVEyCZwcwyFSlIwh3HpumqJkPTsgwu4pSkYILLC4b0xJ5+nTSPl2K1K/+Rop32yFc9s32HfhPLZ06YKb//E+5l8GzKt5nGpQ29J43Adnw2Jc3PZidLv0WnRrP0hk1a2Ns6Q31uN333yJ6wtHhB2RZgIaxpQMyW7hJ39H1yt7o00eY0qqgKKJDxlNnbo+nsy+zezbek/fjCkZnlS8RElm37ZOopu6EgfIDN+b168WMQHvEAsRtWM3mpl9W66mdB4p8oqVTiFWqsLl3OZNUbBjBzpu34HU0ychr7dEtqCwE3u/iG254pprcNvcuWhwIVjslLeKK4KleLhrVl56xcwakdNzrAk2lxaj1JWCbp26IE2+17BhVLeaM9FNaHcxpiRjSur9Lg9VLpaiJGNKGvGMsbqMKWmMX7LXZkxJ+80AipI6fDbxFy9ixTrPLdWD+nbD63/4ubeWVqKb91dNxf5t2/Hnsr+ILJ+1F9BXHgZu3u557Bl0N3pt3IiOO3fCJYTB6qZNUSUEsKp2nkdF23b4U3UpHu45oPbiWV4YN8pU7FAT0FCU9Hem5PLW6y9jwsOPh/RyXQlofCtQlAzGF43AGE0dipJ1n6CY6EbHCVwUoShJUZLZt/VlM61PUbKuT3OoRDfOM2fgOHMaTvk4fQoOIVRKsdJ59jQOnzuLdUJTvWnXXjQ8ebz2mCgnyyMgs3hdfa/p3x+lGRnov2YNMkpLvUWlsKkIlI08+2rltXgor+XeI14qAqg4XiYem1wOpKakoqBpc7hF8gy3yMSOtFRlL19D2XteizTtNe+LVZ3p4n2ZFKgmZJBMTuObSV7fmTB0KSa6qb2O3iGSPMkETPHYmH3bHMoUJc3haLVWKEpazSP2soeipL38Ja2lKKnhs9+8PB0Hi455hUgpULbNbYFnJo1VaoYSJb8/9R1mffsO/v7Ne8guaezNij2gzdUYetGNGNrhRlya2kZZUZkqVlTOO3oIBbt34+KvvkKaiMHkuFDsZ1W1uAj93dNP45nf/MbvfeWCVvwXvyKnGXZefDG2XNwRI4qOev773zQn6BameXu+R9fLuyJXJORxiIvkwE3vikytizbNFZkaYqHeLN9aYiFFSe0TkhRm9+/djZ07vsWQG27VrlBTIhqBMZo6FCUpSuqelHUUpChJUZKiZOKJknWdG7SybzvOnxPi5BlFxHScEUKlFDMVcVO+9oic6vONTbNRVl2Fflu+QINTQvwUKy8jvdVc2lomhMU1AwYgTQiKA1avjurUpgqXJZmNMKewEIO+2oq2p04rQqZH0AwndMr3peipCp3q8zSUCrHzbyLB4kNNWvoIo/7tKPUUYVQIpmIPUad2L57L1+Jaldm39buVoqR+VnWVpChpDkertUJR0moesZc9FCXt5S+Kkjr8VTjmSTz71AQUdL1UKb156w5Mfm4KFrz7vLf2uQsVOFdSifk75+IDIUbKOJHq1qt1P9x1xVhc36EQLRu20tGjiN1+/Jgns6V4uA6Ih7Lf73/xLC+MI4y/5Nu5TMqj3JqkxlxS9p6YTOp/9dX/8Cv/7RerMtVbltwZDeBOEUsQUlLEXlwIi73nudyLC1bfYy7t2790QUnQQowpmaCOjdOwGFMyTqATuJt43b4tETL7duJNJL0xJRNu5OLWcfkPZEWgFHtnsWfv+55Dvld8Hk6fckp5udqyohwOIU46xB5l4nnNa8/7nteoOS5fo1y8V15maYxKnE4pTkqBVF77iVve3XIvrw1FKADvc5dTPBfviWPyvbSMNJS7HXDLcAGyrM9xJZmReLjlXq4SVfa+z2U9TxnPcfEQx6VAWvte7XFvO7INnzb925dt1Nb3O6bWkX342VRTXtoq6yrth2jHp77aR8j2ZTtQ2wzTjve4Z+xh7VS5+Nrra6c61prjfjwDWMsJKFzl2dREn5Hupd0+9RVeetoLM/tjKUpa+gNH40whwJiSpmC0ZCOMKWlJt4Q1iisl6/BX0dGTGDrqMSz+4CXktsxRSga+d+DsAfx1/RS88+U0b8Ial7iwGnX5fbir833okzsgZjNCXqB6bleq/S+/45Qn1pLynvhvf+3xmv/6q//9L6u9BSlmBtZcZKhipUe4rLlQlRev8rW8MFWey4vTGnFTvpYXs/LiVP5XXr2oleX9jtXU94qiNW36iaQBwqnSX03bsg+lPWGTeuHrvQCrvcBUM3x6L5x8L55UeD5Z2GuurmqxBh7zeZ3ZIAWV1UBpeZX/RVm4dn2zvdfRrvdiUUc7mmXVC8gQbfkxCeSiXriaYYPvWOsat+jL36YAI+LFTK+fgpgFQfP/eAZwSBG3AmZnpuLEGfGjtS5GMf2Qs3E7E8hpnAb5j7WKyvDx+cwaX87oO5C2dhVOfLQQZQOvMatZtlOPBJJWlKwn5g4hTkJe+5VXeETKGrFSvva8XyNe1hyvLS/frxU3a5+r5T3H/cvL9n36UURS8VrsVVHVK6JKW+qI8VlPuNhtIhHQEC+DxM0A8TNSETVIfE0klhyLl4C86naIuVXN81dCzYpzT0xG9uQnEmpMiT4YipJ1eFiPKOn4da2I0K1lN4wvGI9xV45D0wZNrT13SkoAsdoSJ0969r6PYnH7eKjH+fOe9+V/+WU8JvkQF6ghn6vHxK3a3EiABEiABEjAS+Df/wYGDyYQEiCBRCIgrwcVwVLs5bWfvA703Wu9F+q4iLMO9SFFg8Dnet+T9dSyoepoHbdynXjZLueqKtz47kO9F66skfcT6bPCsZAACcSWwK9+BfzP/8S2D7ZuKgGKkgZFSRlT8tsu3ypi5A0X3+DXWpW4wNopktds3rwZd911V9ie3n//ffTq1QsdO3YUi/aCb3eWsR5/97vf4ZlnngnZht5+Zs6ciT59+ij9OOXKwIBNbz9ffPEFRo4cGXY8fv3I/2wGiJdVQtT8/ZQpePr++0MKm1Xiv/U7jx7FF0VFGHnJJWFFzxmHD6Nfgwa4SIzF6SuO1vRXJfa/F3GQnhZxo0IJp5XCP7tE8PovxC3rI4WflItd3wvPmovfGSJ7er+DB3GREHCdvv9Jq3leKfp/XmT5nCx/aKubT7lKwWBXs2b4IjcXI7/8Mng1QU3ZGWIO9NuzBx1PnJDBXj0t+bRTIebGC0OG4L/+9a+gY/IN2c/3LVpgq8g6eqdInOS3aiHwP4A+tn/fsqWnzvr1IdsNWv0g6q4RfikVq0z7i2yoGZJ9iHEH2r/m0ks9dbZv99QJY1NgvXCv/3jbbRi3aBGaSLHcdzPYbl1j+fC669D9++9x8YEDSPEV3OvqM8CPRseth7UsUyXm5Yzhw3HN2rVoL+ZvMm+//clP8F9/+YuSSIxb/RCoFvNxbc+eWCq+g1o0b45yce5tLvbbtm0TC+JTkZ+fjxLxzzK5YqFfv35YuHAhWrVqhezsbPGRceOsyMw8QMTjW7lypfI9edlllynfrzfeeCMWLFiAq6++GtOnT8dDDz2EadOm4Wc/+xl27dqFdevW4TZxrviL8P9PxDyYPXu2UrZdu3ZYtmyZ0vbAgQMxa9Ys5X3Z39tvv41HH31UAXXu3Dm8+eabeOyxx5TXf/zjHzFu3Dg0Ed8bcisTIsxLL72EX/7yl8rr/fv34/PPP8eoUaOUcanbGpEkpVR898kxpMvYfKJfae9gIc62b9/ezykV4vwo7blGfK9ILuq2d+9exeb77rtP4RRqk7b86Ec/QlZWVtBhea2wYsUKhd+gQYNC1pd9SPtHjx4d8nokVKUZM2YoPpPXFuHs8q23b98+LF++XLmOSJNxDnVsWtdJgU1IP8ixSt83ENcJRjbVd/1FwpsMMW+j3eRckW3JMct5YGSTc8l3LhttS87rp556ykgzypzeLeKjrxbxMu+9915DbcnKcq7L7dprrzXcllYD6nW01vWtVjuRHA93roikjXiV/f3vf48nnnjC75wWr769/cRL/PTpp0z8HlmzaZPIRZWKAeL7i1v8CCjfVxs2eL6veveOX8fsKSEI/Pr//k9okhQl7eRMipIa3tKKKamVffvA/j3QyoodKqukr1l6E9Bo9aOZgEb8YH/rtRcx4cehlzvrTUCj2Q8T3Xjd6xtT0pO4pxfatusQ8oddZWUF3pnyCsY/OCnkrI0maU00dWTn0SStiaZOXR/PmdP+iptH3IOsxtlxO+cuXvgRLu3UBXn5HcSFkggFUM8bs2/rcwAT3YTnFK+YkvJ77OsvNmLjupVoIpKzVQrhLVskZNu7a4eI1pGC1rl5QuArVc59Xbv3wurlS5DTvCUyhbgmfyMWi8Qk3Qv6YMvGteKz50R+h4txYN8eDLz2eqxY+ikKeg/A/LmzcOfo8Zg3533cPXYiDu7fi6+/3IjBQ28CE90w0Y2+s0VwKbO+u8rFLc5bt2wQwk4auom5bGRj9m0j9ILr6r2+NbNXJroxh2YsY0p6P7PiHwndehj7zJoz2uRphYluksfXsRgpE93Egmps26QoqcE3muzbapPqRY6WWEhR0t8Jei8OmX3bn1s0AmM0dShKUpSM7deS+a1TlKQoSVGSomS0ZxaKkvrIyZWSzL6tj5UsRVFSP6u6SlKUNIej1VqhKGk1j9jLHoqS9vKXtJaipA6fTfzFi1ix7iul5KC+3fD6H37uV0vNvq2jKRYhAT8CzL7NCWGEALNvG6HHupJAvFZKknZiEmCim8T0azxH1TonA0dPlTHRRDyhJ1BfsRQlEwgThxKGALNvJ+7UYPZte/mWoqQJ/qIoaQLEJG2ComSSOt6kYVOUNAlkEjdDUTKJnW/C0ClKmgAxyZugKJnkE8Dg8ClKGgSY5NUpSibuBKAoaS/fUpQ0wV8UJU2AmKRNUJRMUsebNGyKkiaBTOJmKEomsfNNGDpFSRMgJnkTFCWTfAIYHD5FSYMAk7w6RcnEnQAUJe3lW4qSBv3FRDfBAJnoxp+JjNsoEy5s37YVQ4cN9zvIRDfRfwCZ6AZgoht984cxJcNzipcoyUQ3G1AmEp1069FbZF/2ZN+WiXl69RuI3Dbt/Bwkk5otWjBHJO+5Cq3b5HmPFR3aj03rVqFw+KiwWa7fm/oqRowai4aNMoOcridGl+xj8/rVGHbLHXA6XZofMClKzpv7ITp1KQibpC2wkcOHDoiERasxRHwfyqQvejat2NuBbch4fVs2rlGSHKUbyJgt22VMST0egjKnGVNSHytZijEl9bOqq2QsRUkmujHHR9G0ouf7Kpp2A+tQlDSDovXaYExJ6/lEyyKKklqENI5TlKQoKUXHaW/8CT986LGQs4WipAeLWT/sVMgUJSlK6j19U5QMT4qiJHBlz75CBJyLHr37IzOzscjePRP33P+gAu1C8XnM+WA67h3/sPI68Lwjf7TOmPoaxk18VDkeTmiQWZcpSnrmIUVJZt/2PSOFWym5ad1KpVjPvgP1nuqjLqc3wWLUHYSoSFHSHJoUJc3haLVWKEpazSP2soeipL38Ja2lKGnQZxQlgwFypaQ/E4qSHh4UJQ2ebEJU50pJfUwpSobnRFGSoqTv7OBKyeDPilnfXd5VV2J1aLeCPvpOXmFKlZeV4bNPPxGraQegVW5bw23NmCaE9Qc8wnq0G1dKRkaOomRkvMKVpihpDkertUJR0moesZc9FCXt5S+KkvbzFy0mARIgARIgARIgARIgARIgARIgARIgARIgAdsT4EpJ27uQAyABEiABEiABEiABEiABEiABEiABEiABEiABexGgKGkvf9FaEiABEiABEiABEiABEiABEiABEiABEiABErA9AYqStnchB0ACJEACJEACJEACJEACJEACJEACJEACJEAC9iJAUdKAvyb+4kWsWPeV0sKgvt3w+h9+bqA1VrUrgUjngVb5uo5PmTEfL7/xYRCqr5e+bVd8tDuAgNb8CASmp/yCJWvxytTZWPDu8+SdgAT0zAHfYespH27O8ByUgBMohueg37w8HbM++szbA6+VEnP+6Dmn6D0Hac0ZnoMScw7pnR+hRh/JdTPPQYk3f8w8/wSeXwLnC88/iTd/OCJrEKAoGaUf5EXTwaJjXiFSnhDb5rbAM5PGRtkiq9mRQKTzQKu81nH5Zbh+yzYK4HacLDps1vJ/YBNa5Tdv3YExjzyrVGuf14qipA4f2K2I1hwwe87wHGS3GRKZvWbPp8IxT/qdd+Tr2wuvwYTRN0VmGEtblkC85wzPQZadCqYYZvZ8kr/PfBeN8PeaKW6yTCPxni88/1jG9TQkwQhQlIzSofLC+tmnJqCg66VKC/LH/+TnpvBHf5Q87Vot0nmgVV7rOL8M7TpT9Nmt5f/AVvSW50pJffztWErvHFDHprd8XSsl+Y8RO84UfTbrnR+Rzie1PL/D9PnBTqXiPWc4h+w0OyK3Nd7zKXILWcNKBOI9X3j+sZL3aUsiEaAoGYU3i46exNBRj2HxBy8ht2WO0kKo96JomlVsRCDSeaBVXg5da14F3jbA1W82mjAapmrND/VcozYTSXmKkokzT3xHEskcCPc9Fe67S+/t2zwHJc7ciuV8UinJVUp9elzOlZIJMm3qY87wOihBJk+IYcRjPkkRq3+vLryzLQGmUX3MF55/EmDicAiWJEBRMgq3RHoSjKILVrEBgUjngVZ5PaJkIBb5A09ujGdqgwlDUdL+TrLYCLTOKfEQsnkOstikMGBOLOeTNEv9MccYyAacZLGqVpgzPAdZbFIYMCeW80mKkXsPHGEOAAP+sVpVK8wXnn+sNitoj10JUJSMwnORngSj6IJVbEAg0nmgVT4aUVKNGcgfeTaYMBQl7e8ki41A65wSD1GS5yCLTQoD5sR6Pj3x29f87jAxYCqrWoSAFeYMz0EWmQwmmBHL+aSaFxiD0ASz2UQ9EbDCfOH5p56cz24TjgBFyShdGmkMiyi7YTWLE4h0HmiV1zoeiINfhhafIBGaF6n/9Zbn7dsROsJGxfXOAXVIesvrnTM8B9losugwVe/8iGQ+cYWkDvA2LlLfc4bnIBtPnhCmx2I++XbD+cL5EklOCK35onU8sWhzNCQQOwIUJaNkG2m2ryi7YTWLE9CaB4HL+rXKax0PlcmUsXEsPkkiME/L/5HOJ7VrvQJTBKayqEUIxHvO8BxkEcfHyAyz5xNvbYuRoyzUbLznDM9BFnJ+DEwxez4Fzheek2LgtHpsMt7zheefenQ2u05oAhQlDbhXfrGtWPeV0sKgvt0Y188ASztXrWsehLr40Zo3Wu2pc04yu2v4dQzWbefJE8J2Lf/LKr4xROsqr/4H17ebSQ+MZJIJzpmw311ac8Z3vvEclGATqWY4Zp2D1FvrQlF695XJKOh6aWICTMJRxXPO8ByU+BPMrPkkSQXOF/5eS7z5E8/5wvNP4s0fjsgaBChKWsMPtIIESIAESIAESIAESIAESIAESIAESIAESIAEkoYARcmkcTUHSgIkQAIkQAIkQAIkQAIkQAIkQAIkQAIkQALWIEBR0hp+oBUkQAIkQAIkQAIkQAIkQAIkQAIkQAIkQAIkkDQEKEomjas5UBIgARIgARIgARIgARIgARIgARIgARIgARKwBgGKktbwA60gARIgARIgARIgARIgARIgARIgARIgARIggaQhQFEyaVzNgZIACZAACZAACZAACZAACZAACZAACZAACZCANQhQlLSGH2gFCZAACZAACZAACZAACZAACZAACZAACZAACSQNAYqSSeNqDpQESIAESIAESIAESIAESIAESIAESIAESIAErEGAoqQ1/EArSIAESIAESIAESIAESIAESIAESIAESIAESCBpCFCUTBpXc6AkQAIkQAIkQAIkQAIkQAIkQAIkQAIkQAIkYA0CFCWt4QdaQQIkQAIkQAIkQAIkQAIkQAIkQAIkQAIkQAJJQ4CiZNK4mgMlARIgARIgARIgARIgARIgARIgARIgARIgAWsQoChpDT/QChIgARIgARIgARIgARIgARIgARIgARIgARJIGgIUJZPG1RwoCZAACZAACZAACZAACZAACZAACZAACZAACViDAEVJa/iBVpAACZAACZAACZAACZAACZAACZAACZAACZBA0hCgKJk0ruZASYAESIAESIAESIAESIAESIAESIAESIAESMAaBChKWsMPtIIESIAESIAESIAESIAESIAESIAESIAESIAEkoYARcmkcTUHSgIkQAIkQAIkQAIkQAIkQAIkQAIkQAIkQALWIEBR0hp+oBUkQAIkQAIkQAIkQAIkQAIkQAIkQAIkQAIkkDQEKEomjas5UBIgARIgARIggVgTWLBkLZ747WtB3bzw9EMoHNIPhWOeVI4tePf5oDLyWLs2LfH6H37uKaPRVpfB4+ocTvu8Vko/v3l5OmZ99FnIsu++MhkFXS/FxF+8iBXrvoL6Wi28eesOjHnkWQzq281rV2BDeuy4vfAavPzGh96qkx4YiQmjb4qoXz3jiLV/2T4JkAAJkAAJkAAJkIB5BChKmseSLZEACZAACZAACSQxAVU0W/zBS8htmeMlIcXFj/61wivqSRHvruHX4ZlJY71lpsyYj9kLPveKlXrbChQPA0VFeVy2dbDoWFhRUZZRRclAu9T36xIlfV2uipih7Ah1LJJ+9Ywjiacfh04CJEACJEACJEACtiNAUdJ2LqPBJEACJEACJEACViQgxUZ1BWBd9gWKc0VHT2LoqMf8VinqbctMUbJtbgtlRaUqqqp2SaFSS9TUY0c4UVJvvxQlrTjraRMJkAAJkAAJkAAJRE+AomT07FiTBEiABEiABEiABLwEAm+/rguNFNjWbPxaWRkpVwtKYc535WQkbcl+6lqhqEfMkzb06XE5Dh05gTatmim3VsvVm3KT78VSlNTbr55xcDqSAAmQAAmQAAmQAAnYhwBFSfv4ipaSAAmQAAmQAAlYmIAqDPqaGOo2ZvW4byzGr5e+7TeySNvSEiX1xJSU4mCv7pcpMSSlPdI+uWryzffmxVyU1NMvY0paePLTNBIgARIgARIgARKIggBFySigsQoJkAAJkAAJkAAJ1EUgUEALdVu3KiSqSXDCtRdJW0ZiSkpRUk0+I21RV29GskIxmpiSevuNxA7OThIgARIgARIgARIgAesToChpfR/RQhIgARIgARIgARsTkLdBy8zTgashQ8WS1BpmuLa0Vkpq3X6t3r4tRUk167cqcEYiBhoRJbX6jcQOLY48TgIkQAIkQAIkQAIkUP8EKErWvw9oAQmQAAmQAAmQgM0JSIFx/uLVykrDwE0V2wKzcocTJaNpy0xRUtovY1rKeJdyi0QMNCJKavUbiR02n040nwRIgARIgARIgASSggBFyaRwMwdJAiRAAiRAAiQQSwKqwCj7CFwRKWMzygzWvolsZLm6REmZjTuStswWJX1ZRSIGGhUl6+o3Ejti6Wu2TQIkQAIkQAIkQAIkYA4BipLmcGQrJEACJEACJEACJKAkhwncwsWM1Lp9O5K2tERJvYluQq30jEQMDGeHetu5ykaNsel723ggt8B+meiGHzASIAESIAESIAESSCwCFCUTy58cDQmQAAmQAAmQAAmQAAmQAAmQAAmQAAmQAAlYngBFScu7iAaSAAmQAAmQAAmQAAmQAAmQAAmQAAmQAAmQQGIRoCiZWP7kaEiABEiABEiABEiABEiABEiABEiABEiABEjA8gQoSlreRTSQBEiABEiABEiABEiABEiABEiABEiABEiABBKLAEXJxPInR0MCJEACJEACJEACJEACJEACJEACJEACJEAClidAUdLyLqKBJEACJEACJEACJEACJEACJEACJEACJEACJJBYBChKJpY/ORoSIAESIAESIAESIAESIAESIAESIAESIAESsDwBipKWdxENJAESIAESIAESIAESIAESIAESIAESIAESIIHEIkBRMrH8ydGQAAmQAAmQAAmQAAmQAAmQAAmQAAmQAAmQgOUJUJS0vItoIAmQAAmQAAmQAAmQAAmQAAmQAAmQAAmQAAkkFgGKkonlT46GBEiABEiABEiABEiABEiABEiABEiABEiABCxPgKKk5V1EA0mABEiABEiABEiABEiABEiABEiABEiABEggsQhQlEwsf3I0JEACJEACJEACJEACJEACJEACJEACJEACJGB5AhQlLe8iGkgCJEACJEACJEACJEACJEACJEACJEACJEACiUWAomRi+ZOjIQESIAESIAESIAESIAESIAESIAESIAESIAHLE6AoaXk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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "uc.plot_history(show_intervals=True)" ] }, { "cell_type": "markdown", "id": "44beb909-5071-47e5-9499-482cf37f9ce3", "metadata": {}, "source": [ "`A`, still the **limiting reagent**, is again eventually stopping the reaction... \n", "The (transiently) high value of [A] led to a high value of [B] \n", "Notice how the variable time steps automatically adapt." ] }, { "cell_type": "code", "execution_count": 18, "id": "35850ec7-e78e-4b57-976c-bc0ad6c824d5", "metadata": {}, "outputs": [], "source": [ "#uc.get_history()\n", "\n", "#uc.get_diagnostics().explain_time_advance()" ] }, { "cell_type": "code", "execution_count": 19, "id": "aff608b1-5c78-4070-845a-118afe7c2108", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0: A + X <-> 2 B\n", "Final concentrations: [A] = 0.5992 ; [X] = 45.63 ; [B] = 108.7\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 3.97761\n", " Formula used: [B] / ([A][X])\n", "2. Ratio of forward/reverse reaction rates: 4\n", "Discrepancy between the two values: 0.5598 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Verify that the reaction has reached equilibrium\n", "uc.is_in_equilibrium()" ] }, { "cell_type": "code", "execution_count": null, "id": "5ef6d068-952e-404d-9c10-5a0d6aa31528", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "7ddbe0ec-53c3-4d25-825a-cbe3bdf8e50a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "f6619731-c5ea-484c-af3e-cea50d685361", "metadata": { "tags": [] }, "source": [ "# STEP 3. Let's again suddenly increase [A]" ] }, { "cell_type": "code", "execution_count": 20, "id": "d3618eba-a673-4ff5-85d0-08f5ea592361", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0.039055056:\n", "3 species:\n", " Species 0 (A). Conc: 30.0\n", " Species 1 (X). Conc: 45.62521424281943\n", " Species 2 (B). Conc: 108.74957151436116\n", "Set of chemicals involved in reactions: {'A', 'X', 'B'}\n" ] } ], "source": [ "uc.set_single_conc(species_name=\"A\", conc=30.)\n", "uc.describe_state()" ] }, { "cell_type": "code", "execution_count": 21, "id": "e5ce5d59", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEAXBstepcaption
760.0286350.69034345.716318108.56736448
770.0308290.61280745.638782108.72243649
780.0341190.59208645.618060108.76387950
790.0390550.59924045.625214108.74957251last reaction step
800.03905530.00000045.625214108.749572Set concentration of `A`
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" ], "text/plain": [ " SYSTEM TIME A X B step \\\n", "76 0.028635 0.690343 45.716318 108.567364 48 \n", "77 0.030829 0.612807 45.638782 108.722436 49 \n", "78 0.034119 0.592086 45.618060 108.763879 50 \n", "79 0.039055 0.599240 45.625214 108.749572 51 \n", "80 0.039055 30.000000 45.625214 108.749572 \n", "\n", " caption \n", "76 \n", "77 \n", "78 \n", "79 last reaction step \n", "80 Set concentration of `A` " ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" } ], "source": [ "uc.get_history(tail=5)" ] }, { "cell_type": "markdown", "id": "0974480d-ca45-46fe-addd-c8d394780fdb", "metadata": {}, "source": [ "### Yet again, take the system to equilibrium" ] }, { "cell_type": "code", "execution_count": 22, "id": "8fe20f9c-05c4-45a4-b485-a51005440200", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "28 total variable step(s) taken in 0.00 min\n", "Number of step re-do's because of elective soft aborts: 3\n", "Norm usage: {'norm_A': 22, 'norm_B': 14, 'norm_C': 14, 'norm_D': 14}\n", "System Time is now: 0.070207\n" ] } ], "source": [ "uc.single_compartment_react(initial_step=0.0005, target_end_time=0.070)" ] }, { "cell_type": "code", "execution_count": 23, "id": "c388dae7-c4a6-4644-a390-958e3862d102", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
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", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Zoom in on the early part of the last plot\n", "uc.plot_history(range_x=[0, 0.02])" ] }, { "cell_type": "code", "execution_count": 25, "id": "f7938dc5-95cc-47ad-bdbe-ceaa31ba1dfc", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.00045562195425603814, 3.333333333333333)" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Look up the first intersection of the [A] and [B] curves\n", "uc.curve_intersect(\"A\", \"B\", t_start=0, t_end=0.01)" ] }, { "cell_type": "code", "execution_count": 26, "id": "f044d268-7262-4154-bb29-f02b0f702242", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "WARNING: curve_intersect(): Discontinuity detected at `SYSTEM TIME` = 0.015951562499999995\n" ] }, { "data": { "text/plain": [ "(0.015951562499999995, 9.948050562662225)" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# The next intersection isn't particulary meaning; just an artifact of the sudden jump in [A]\n", "uc.curve_intersect(\"A\", \"B\", t_start=0.01, t_end=0.02)" ] }, { "cell_type": "code", "execution_count": 27, "id": "dbee4d33-07c0-4872-bf15-c88bd66fb7d7", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.01638486713665179, 36.649350187554084)" ] }, "execution_count": 27, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# The final intersection\n", "uc.curve_intersect(\"A\", \"B\", t_start=0.016, t_end=0.02)" ] }, { "cell_type": "code", "execution_count": 28, "id": "c3afbcc8-bdae-4938-a3f1-ce00d62816f2", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0: A + X <-> 2 B\n", "Final concentrations: [A] = 2.284 ; [X] = 17.91 ; [B] = 164.2\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 4.01395\n", " Formula used: [B] / ([A][X])\n", "2. Ratio of forward/reverse reaction rates: 4\n", "Discrepancy between the two values: 0.3487 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Verify that the reaction has reached equilibrium\n", "uc.is_in_equilibrium()" ] }, { "cell_type": "code", "execution_count": null, "id": "ad667b3b-1305-4f57-a1a2-63d66bca1484", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "jupytext": { "formats": "ipynb,py:percent" }, "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 5 }