{ "cells": [ { "cell_type": "markdown", "id": "3bbe8002-bdf3-490c-bde0-80dd3713a3d0", "metadata": {}, "source": [ "## A complex (composite/multistep) reaction `A <-> C` derived from 2 coupled elementary reactions: \n", "## `A <-> B` and `B <-> C` \n", "We are given the time evolution of the complex reaction, \n", "and want to determine whether it can be modeled as an elementary reaction. \n", "\n", "In PART 1, a time evolution of [A], [B] and [C] is obtained by simulation \n", "In PART 2, the time functions generated in Part 1 are taken as a _starting point,_ to explore how to model the composite reaction `A <-> C` \n", "\n", "**Background**: please see experiments `cascade_1` and `mystery_reaction_1`" ] }, { "cell_type": "code", "execution_count": 1, "id": "313e55f6-1051-45a4-ac4a-64891c199673", "metadata": {}, "outputs": [], "source": [ "LAST_REVISED = \"Dec. 15, 2024\"\n", "LIFE123_VERSION = \"1.0-rc.1\" # Library version this experiment is based on" ] }, { "cell_type": "code", "execution_count": 2, "id": "fb596420-0b1d-4667-8d37-187290ab622d", "metadata": {}, "outputs": [], "source": [ "#import set_path # Using MyBinder? Uncomment this before running the next cell!" ] }, { "cell_type": "code", "execution_count": 3, "id": "3924c013", "metadata": { "tags": [] }, "outputs": [], "source": [ "#import sys\n", "#sys.path.append(\"C:/some_path/my_env_or_install\") # CHANGE to the folder containing your venv or libraries installation!\n", "# NOTE: If any of the imports below can't find a module, uncomment the lines above, or try: import set_path \n", "\n", "from life123 import check_version, ChemData, UniformCompartment, ReactionKinetics, PlotlyHelper" ] }, { "cell_type": "code", "execution_count": 4, "id": "323423d1-ad47-4fc4-ac23-36ab55488ba6", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OK\n" ] } ], "source": [ "check_version(LIFE123_VERSION)" ] }, { "cell_type": "code", "execution_count": null, "id": "fe5d6bfa-7e62-491a-a57f-be5105081a9d", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "75411c8b-f0c5-411d-9e12-1eaa423449f9", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "9329208b-070f-4902-8f37-0f11ddf75ed6", "metadata": {}, "source": [ "# PART 1 - We'll generate the time evolution of [A] and [C] by simulating coupled elementary reactions of KNOWN rate constants...\n", "## but pretend you don't see this section! (because we later assume that those time evolutions are just GIVEN to us)" ] }, { "cell_type": "code", "execution_count": 5, "id": "4ed5cbfd-8368-4dfa-b2cb-c43335af23e2", "metadata": { "tags": [] }, "outputs": [ { "data": { "text/html": [ "
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0AAdarkturquoise
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" ], "text/plain": [ " name label plot_color\n", "0 A A darkturquoise\n", "1 B B orange\n", "2 C C green" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Instantiate the simulator and specify the chemicals\n", "chem_data = ChemData(names=[\"A\", \"B\", \"C\"], plot_colors=[\"darkturquoise\", \"orange\", \"green\"])\n", "\n", "chem_data.all_chemicals()" ] }, { "cell_type": "code", "execution_count": 6, "id": "7f3f7820-c833-4329-a691-b11a4f8cf06f", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 2 (at temp. 25 C)\n", "0: A <-> B (kF = 8 / kR = 2 / delta_G = -3,436.6 / K = 4) | 1st order in all reactants & products\n", "1: B <-> C (kF = 12 / kR = 1 / delta_G = -6,160 / K = 12) | 1st order in all reactants & products\n", "Set of chemicals involved in the above reactions: {\"C\" (green), \"A\" (darkturquoise), \"B\" (orange)}\n" ] } ], "source": [ "# Here we use the \"mid\" preset for the variable steps, a compromise between speed and accuracy\n", "uc = UniformCompartment(chem_data=chem_data, preset=\"mid\")\n", "\n", "# Reaction A <-> B (slower, and with a smaller K)\n", "uc.add_reaction(reactants=\"A\", products=\"B\",\n", " forward_rate=8., reverse_rate=2.) \n", "\n", "# Reaction B <-> C (faster, and with a larger K)\n", "uc.add_reaction(reactants=\"B\", products=\"C\",\n", " forward_rate=12., reverse_rate=1.) \n", " \n", "uc.describe_reactions()" ] }, { "cell_type": "markdown", "id": "98a9fbe5-2090-4d38-9c5f-94fbf7c3eae2", "metadata": {}, "source": [ "### Run the simulation" ] }, { "cell_type": "code", "execution_count": 7, "id": "ae304704-c8d9-4cef-9e0b-2587bb3909ef", "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", "Set of chemicals involved in reactions: {'C', 'A', 'B'}\n" ] } ], "source": [ "uc.set_conc({\"A\": 50.}) # Set the initial concentrations\n", "uc.describe_state()" ] }, { "cell_type": "code", "execution_count": 8, "id": "2502cd11-0df9-4303-8895-98401a1df7b8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "85 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': 24, 'norm_B': 25, 'norm_C': 23, 'norm_D': 23}\n", "System Time is now: 0.80986\n" ] } ], "source": [ "uc.single_compartment_react(initial_step=0.01, duration=0.8)" ] }, { "cell_type": "code", "execution_count": 9, "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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"title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Changes in concentration for `A <-> B` and `B <-> C` (time steps shown in dashed lines)" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.0005279411962849527, 0.8103897362974023 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -2.7777777777777777, 52.77777777777778 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "uc.plot_history(show_intervals=True)" ] }, { "cell_type": "code", "execution_count": 10, "id": "042a23ff-84de-4273-ae7b-09b73b740b4c", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0: A <-> B\n", "Final concentrations: [A] = 1.096 ; [B] = 3.898\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 3.55592\n", " Formula used: [B] / [A]\n", "2. Ratio of forward/reverse reaction rates: 4\n", "Discrepancy between the two values: 11.1 %\n", "Reaction IS in equilibrium (within 12% tolerance)\n", "\n", "1: B <-> C\n", "Final concentrations: [B] = 3.898 ; [C] = 45.01\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 11.5475\n", " Formula used: [C] / [B]\n", "2. Ratio of forward/reverse reaction rates: 12\n", "Discrepancy between the two values: 3.771 %\n", "Reaction IS in equilibrium (within 12% tolerance)\n", "\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "uc.is_in_equilibrium(tolerance=12)" ] }, { "cell_type": "code", "execution_count": null, "id": "3d157b9c-f26a-4564-a250-ecc7514ff064", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "bed9100c-f575-4591-bf8e-a32de741fa7a", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "1f447754-5017-4b48-a4f5-fc9049b7de64", "metadata": {}, "source": [ "# PART 2 - This is the starting point of fitting the data from part 1. \n", "### We're given the data of the time evolution of `A` and `C`, and we want to try to model the complex reaction `A <-> C`" ] }, { "cell_type": "markdown", "id": "b5f75cfb-45b4-4fd2-ad4c-c2a2084ca62d", "metadata": {}, "source": [ "Let's start by taking stock of the actual data (saved during the simulation of part 1):" ] }, { "cell_type": "code", "execution_count": 11, "id": "f26c98c3-802c-4c38-a726-06ac4a77211a", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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SYSTEM TIMEACcaption
00.00000050.0000000.000000Set concentration
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" ], "text/plain": [ " SYSTEM TIME A C caption\n", "0 0.000000 50.000000 0.000000 Set concentration\n", "1 0.004000 48.400000 0.000000 1st reaction step\n", "2 0.008000 46.864000 0.076800 \n", "3 0.010000 46.126413 0.150067 \n", "4 0.011000 45.764849 0.194599 \n", ".. ... ... ... ...\n", "81 0.638365 1.497612 44.279102 \n", "82 0.670313 1.384698 44.483579 \n", "83 0.708651 1.276811 44.678990 \n", "84 0.754656 1.179000 44.856174 \n", "85 0.809862 1.096061 45.006431 last reaction step\n", "\n", "[86 rows x 4 columns]" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# For this analysis, we're NOT given the intermediary B\n", "df = uc.get_history(columns=[\"SYSTEM TIME\", \"A\", \"C\", \"caption\"])\n", "df" ] }, { "cell_type": "markdown", "id": "9e78f4fd-e01c-4e0f-bc2a-0c046f28aae6", "metadata": {}, "source": [ "## Column B is NOT given to us. For example, `B` might be an intermediary we can't measure. \n", "#### Only [A] and [C] are given to us, on a variably-spaced time grid" ] }, { "cell_type": "markdown", "id": "543b6f5a-f54c-426e-8dc6-342b62d50078", "metadata": {}, "source": [ "#### Let's extract some columns, as Numpy arrays:" ] }, { "cell_type": "code", "execution_count": 12, "id": "9e3a5eda-d426-4aa3-b1fd-65730a4af8d2", "metadata": {}, "outputs": [], "source": [ "t_arr = df[\"SYSTEM TIME\"].to_numpy() # The independent variable : Time" ] }, { "cell_type": "code", "execution_count": 13, "id": "44a76d0e-5bf0-4d34-b37f-37c11eff9a8f", "metadata": {}, "outputs": [], "source": [ "A_conc = df[\"A\"].to_numpy()" ] }, { "cell_type": "code", "execution_count": 14, "id": "2955b13a-483d-4ad1-962e-f2d968a3d11b", "metadata": {}, "outputs": [], "source": [ "C_conc = df[\"C\"].to_numpy()" ] }, { "cell_type": "markdown", "id": "8d803e45-e732-4206-a514-a53838bc0eba", "metadata": {}, "source": [ "#### If the composite reaction `A <-> C` could be modeled as an elementary reaction, we'd expect the rate of change of [C] to be `C'(t) = kF * A(t) - kR * C(t)` , for some values `kF` and `kR` \n", "Let's see what happens if we try a fit to determine values for `kF` and `kR`!" ] }, { "cell_type": "code", "execution_count": 15, "id": "6b624515-b59b-425b-aeef-65a350852293", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reaction A <-> C\n", "Total REACTANT + PRODUCT has a median of 41.62, \n", " with standard deviation 3.725 (ideally should be zero)\n", "The sum of the time derivatives of the reactant and the product \n", " has a median of -40.51 (ideally should be zero)\n", "Least square fit to model as elementary reaction: C'(t) = kF * A(t) - kR * C(t)\n", "\n", "-> ESTIMATED RATE CONSTANTS: kF = 2.603 , kR = -1.137\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "d/dt C(t): exact :
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"title": { "text": "LEAST-SQUARE FIT ANALYSIS:" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 0.8098617951011173 ], "title": { "text": "t" }, "type": "linear" }, "xaxis2": { "anchor": "y2", "autorange": true, "domain": [ 0, 1 ], "range": [ 1.096061014963001, 50 ], "title": { "text": "A(t)" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0.575, 1 ], "range": [ -19.08628981453012, 170.63950647607217 ], "title": { "text": "d/dt C(t)" }, "type": "linear" }, "yaxis2": { "anchor": "x2", "autorange": true, "domain": [ 0, 0.425 ], "range": [ -19.08628981453012, 170.63950647607217 ], "title": { "text": "d/dt C(t)" }, "type": "linear" } } }, "image/png": 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0, 0.4 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -2.7777777777777777, 52.77777777777778 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": 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" ], "text/plain": [ " search_value SYSTEM TIME A B C caption\n", "47 0.1 0.098644 24.020441 14.383519 11.59604 " ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "uc.get_history(t=0.1)" ] }, { "cell_type": "markdown", "id": "3b95c358-e156-4279-8dce-de8e0f1a0ef0", "metadata": {}, "source": [ "### Let's split the `A_conc` and `C_conc` arrays we extracted earlier (with the entire time evolution of, respectively, [A] and [C]) into two parts: \n", "1) points numbered 0 thru 47 \n", "2) points 48 - end" ] }, { "cell_type": "code", "execution_count": 18, "id": "d0e20b17-d4dc-44d5-8fb5-57ea10988f48", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([50. , 48.4 , 46.864 , 46.1264128 , 45.76484854,\n", " 45.40681085, 45.05225696, 44.70114469, 44.35343246, 44.00907929,\n", " 43.66804478, 43.33028909, 42.99577298, 42.66445773, 42.33630518,\n", " 42.0112777 , 41.68933821, 41.37045012, 41.0545774 , 40.74168448,\n", " 40.36974668, 40.00199955, 39.6383842 , 39.27884274, 38.8522133 ,\n", " 38.43128765, 38.01597063, 37.52420869, 37.04025733, 36.56396179,\n", " 36.09517097, 35.54145062, 34.99811725, 34.46492785, 33.83698995,\n", " 33.2229888 , 32.62253891, 31.91781348, 31.23154675, 30.56313706,\n", " 29.78178056, 29.02450702, 28.29039508, 27.43620083, 26.61288888,\n", " 25.81907912, 24.90034509, 24.02044078])" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A_conc_early = A_conc[:48]\n", "A_conc_early" ] }, { "cell_type": "code", "execution_count": 19, "id": "fccd1736-8ea3-457f-85fa-d2b6f048a78e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([23.0087328 , 22.04732192, 20.95032368, 19.91729654, 18.74901409,\n", " 17.66042497, 16.44195241, 15.32047581, 14.08019853, 12.95495829,\n", " 11.72795618, 10.63352278, 9.65555453, 8.78031868, 7.99601836,\n", " 7.29245209, 6.66074533, 6.09313687, 5.5828077 , 5.12374233,\n", " 4.71061569, 4.33869982, 3.93680355, 3.5827847 , 3.27084615,\n", " 2.99592113, 2.75357274, 2.5399097 , 2.31383613, 2.11982431,\n", " 1.9533093 , 1.78179739, 1.63943071, 1.49761239, 1.38469771,\n", " 1.2768105 , 1.17899973, 1.09606101])" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" } ], "source": [ "A_conc_late = A_conc[48:]\n", "A_conc_late" ] }, { "cell_type": "code", "execution_count": 20, "id": "424bcd7c-c059-4b74-897f-e1cdf4b580e9", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "len(A_conc_early) + len(A_conc_late) - len(A_conc) # Double-check we got all points" ] }, { "cell_type": "code", "execution_count": 21, "id": "5abdbca7-1781-4c86-8ae0-95b331c131b3", "metadata": {}, "outputs": [], "source": [ "# Same for [C] and for t_arr\n", "C_conc_early = C_conc[:48]\n", "C_conc_late = C_conc[48:]\n", "\n", "t_arr_early = t_arr[:48]\n", "t_arr_late = t_arr[48:]" ] }, { "cell_type": "code", "execution_count": null, "id": "132a6941-ee7a-4a63-afe5-2bf4c7dc9115", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "0ed38679-26ae-4d2f-9b72-95d0e544692e", "metadata": {}, "source": [ "## I. Let's start with the EARLY region, when t < 0.1" ] }, { "cell_type": "code", "execution_count": 22, "id": "719c91b1-cd9c-4b10-8cb2-97d9a8044992", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reaction A <-> C\n", "Total REACTANT + PRODUCT has a median of 40.88, \n", " with standard deviation 3.719 (ideally should be zero)\n", "The sum of the time derivatives of the reactant and the product \n", " has a median of -190.1 (ideally should be zero)\n", "Least square fit to model as elementary reaction: C'(t) = kF * A(t) - kR * C(t)\n", "\n", "-> ESTIMATED RATE CONSTANTS: kF = 1.481 , kR = -15.02\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "d/dt C(t): exact :
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"d/dt C(t)" }, "type": "linear" }, "yaxis2": { "anchor": "x2", "autorange": true, "domain": [ 0, 0.425 ], "range": [ -19.09865512620611, 170.8744473979161 ], "title": { "text": "d/dt C(t)" }, "type": "linear" } } }, "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "uc.plot_history(range_x=[0, 0.4], vertical_lines_to_add=[0.1],\n", " chemicals=['A', 'C'], title=\"Changes in concentration for `A <-> C`\")" ] }, { "cell_type": "markdown", "id": "5f418b9d-8bd4-4ee7-aa95-1d233be40c0e", "metadata": {}, "source": [ "In the zone to the left of the vertical dashed line: \n", "when the reactant `A` is plentiful, the rate of change (slope of the greeen line) of the product `C` is low - and vice versa. \n", "Does that look like an elementary reaction in its kinetics? Nope!" ] }, { "cell_type": "code", "execution_count": null, "id": "8b4558a2-9e0b-4fe9-82d6-1d6661805a4f", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "652e8cc0-b053-40d1-9d1c-2f2a30f59469", "metadata": {}, "source": [ "## II. And now let's consider the LATE region, when t > 0.1" ] }, { "cell_type": "code", "execution_count": 24, "id": "2d61a783-e1e5-473a-9fd8-cba5cb842a85", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reaction A <-> C\n", "Total REACTANT + PRODUCT has a median of 42.74, \n", " with standard deviation 3.695 (ideally should be zero)\n", "The sum of the time derivatives of the reactant and the product \n", " has a median of 16.91 (ideally should be zero)\n", "Least square fit to model as elementary reaction: C'(t) = kF * A(t) - kR * C(t)\n", "\n", "-> ESTIMATED RATE CONSTANTS: kF = 8.149 , kR = -0.08102\n" ] }, { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "d/dt C(t): exact :
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gaIu7PvQOAiVBIJehNZPi76bPzLti58PQxpPyrp071lvpjSfwmT83/c40rvlMXpyjIUZbq5gY2v+RxdDmV1msl/SdBhja/Nw4AgIQgAAEipMAhrY460KvIFBSBHIZWvNd+kpQtoH5MLQm18Ybrp3VPBtzHW+LTprUm77lM7TmGNNX8ymWbbW2hjaTvc1YCxViYxvKxs5fKK/GON7o5bFnX827vZ8V2saoDjkhAAEIQKBQAhjaQolxPAQqnEBsgjIxJG3pjbcNJ91zaozHzOo59cLEK6iZ9/fFB+VaFS10i3LSfb3Zxpa5ihvnsrnvMDYF6QPNNN3pxvLb72dG2zzjT1KOpJjm+Hz9STcoNmON7xmO+5K5wp30q5DNUGbWO/OPHDacTL7YvKfnjmMlaSrXHzjSYyRtU8/kmRnfxE6/7zubLjKNYTb2mfpObxfXIr0Gmb8nNvVJ4mz0fegBvepttc+msWK7f7zCT8cMHwIQgAAEUgQwtMgAAhCwJhBvS8w0I9lWaI1JWL1H15UeBpV0vOsKbSGrSUn3EMYQbFYtc7XPhGn6te0WG9bdq2i+z1xJTjc46WyTHpSV9DPbFdpsxsp227UxdHfdcH7OB08lGdrM8SbpyIZTUo2NqXvjnU/qNNaQFdqkNpn9SdKsaWc+8YPMCjG0R512eb0V0riG6aY23VRmGsmk420frJbEMUn3hfxOWZ9EOBACEIAABCDgmQCG1jNQwkGgnAlke1px0mQ/niAnrTq9/cG/V9ru6GpobSfzpj65HlRlY2hNDMNi/z12THxwVD4NZG53zpYzc9U5m2HybWgLWYHOHGumOcxmimzurc7kZPO07EINrc0fJ0xfC9Fs5squrTHMvKc7W7tsesn2O5f0R5bMhz1haPP91vI9BCAAAQgUKwEMbbFWhn5BoMgI5Jr4JxnabPfpZTMl5Wxos22hjlfdshmUzAdQZTNWvg1tnNdIsNAtppmGMlu9k+5hzscp3hac7QnU8R8aMl8blLTFN317brydN9uW9kI1a2tok7ZIp48tm6HN9QeHpAedYWiL7GRKdyAAAQhAwCsBDK1XnASDQPkSKNTQZlvBLNQc2D5NODY7NgYs5AptbFrSx2G7QttYhtaoOMlc5jKSsfKTDG3mvdLpvyVxvWw4xYY1M156zQtdoTUxkwxv+r23hWo2n6GN2Wbe32u7QpvN+Mdc89WJLcfle55mZBCAAAQqkQCGthKrzpgh0AAChRjaXIaxUHNga2iT7inMNsxQhjbfFuFiXaFN4hb/wSBfPWxXaNNz2HLK7Fdcx0zzmblCW6jcYy3FxrBQzeYztLm27ruu0NqMFUNrQ4ljIAABCECgVAhgaEulUvQTAkVAwPYe2lz3R9rej9iQ973avrYn332T+bZt5msfl8rWqNluOc4Xr5CnHMd9zDfW+DjbMSfdQ5t0/6kPQ2tiZOrJ1yuV0rVuq9lsT9rONJCuhta2FtlOGbaGNturrYrgVEQXIAABCEAAAnUEMLSIAQIQsCaQdK9mvHKX/tqeXO+eTXrCbRw387UjtmYrHkAcOzNObADSf57rAUP5TJHtQ5OSjGr6a2cKXaE148y8Xzn9fteGGNqksZo+mtcHxe/sNXlt79O1ecqxiWfYxE/6teVkxp45xkwehZoww+/8kePrPaQsU6OFajb9dyGp3kmGMr6P12aFNr0eSQ9dy3yqduYvuK2hbcgflaxPJhwIAQhAAAIQ8EQAQ+sJJGEgUCkEMt8DaibUJ507WuJJfK53z2Yaz/jfZhL/5nuf1Hunp/ku817BfNtd43hJ7xTNvK8wl/HJvKcys20+w5uuhXTDaX5uYpnPhPuerHvgku0KbRw3/f2wZrvtNpttGMVriKFNGmv8TtJMTdvcn5ztHtZ8NbHhlO0dqr8f2K9eV9MftmTzHtqkhzNlai2pf0maTToufrdwOr9MHuY723tos/0exT/PVydbQ2viZTLPF7tSzoOMEwIQgAAEiocAhrZ4akFPIFAWBLK9e7YYB1foCrAZA6tWxVjJxulTIa+KapwekhUCEIAABCBQ/gQwtOVfY0YIgWAEbN+DGaxDeRLZbqNND9OQp+gWy3jph18CGFq/PIkGAQhAAAIQaAgBDG1DqNEGAhAoGwK2T+81A463+rLtsmzK7zQQDK0TPhpDAAIQgAAEvBDA0HrBSBAIQAACEIAABCAAAQhAAAIQCE0AQxuaOPkgAAEIQAACEIAABCAAAQhAwAsBDK0XjASBAAQgAAEIQAACEIAABCAAgdAEMLSOxL+btdAxAs3TCbRp2Uxat2oms+ctAYwige6dWkn1vKWybHmNYpbKDo2Ww9QfLetzRsv6jE0GtKzP2VbLq3dpo98ZMkAAAt4IYGgdUWJoHQFmNLe92PjNWnnRmDjp1xwt6zPGBIRhjJbDcOa8rM/ZVssYWv1akAECPglgaB1pYmgdAWJo/QK0jMbEyRKUw2G2EyeHFDRlVSuIBtByEMys0AbAbKtlDG2AYpACAh4JYGgdYWJoHQFiaP0CtIyGobUE5XCY7cTJIQVNMbRBNICWg2DG0AbAbKtlDG2AYpACAh4JYGgdYWJoHQFiaP0CtIyGobUE5XCY7cTJIQVNMbRBNICWg2DG0AbAbKtlDG2AYpACAh4JYGgdYWJoHQFiaP0CtIyGobUE5XCY7cTJIQVNMbRBNICWg2DG0AbAbKtlDG2AYpACAh4JYGgdYWJoHQFiaP0CtIyGobUE5XCY7cTJIQVNMbRBNICWg2DG0AbAbKtlDG2AYpACAh4JYGgdYWJoHQFiaP0CtIyGobUE5XCY7cTJIQVNMbRBNICWg2DG0AbAbKtlDG2AYpACAh4JYGgdYWJoHQFiaP0CtIyGobUE5XCY7cTJIQVNMbRBNICWg2DG0AbAbKtlDG2AYpACAh4JYGgdYWJoHQFiaP0CtIyGobUE5XCY7cTJIQVNMbRBNICWg2DG0AbAbKvlSjG0k597XcZOeEgmTxpVj/47H34q/QeNkI9emLhSVbK18VG+OO9VFw6UPrtvl5j7nMtukkljh8oWG6/nIyUxyoQAhtaxkBhaR4AYWr8ALaNhaC1BORxmO3FySEFTDG0QDaDlIJgxtAEw22q50g3t+LufiKox4Ih98xraPv2HyKDjDko0oJmNzbFTv5le78fpptl8P+K8AXVmNSm2Mb1DR45fyYQHkE/BKQphU3BwGtQjgKF1FASG1hEghtYvQMtoGFpLUA6H2U6cHFLQFEMbRANoOQhmDG0AzLZarnRDm2ks00uTuUJrY9qmzaiW3oeeJYNPOqSeSU43zibuI0+/LLdceXZdumyxTz53tPTda2crEx1AVllT2LBpzP6VU24MrWM1MbSOADG0fgFaRsPQWoJyOMx24uSQgqYY2iAaQMtBMGNoA2C21XI5G1pjBl9+44M62j3X7FFvtTNpBTRbm0vH3Cn3PfJ8Xaydt92kniGNvzDt11itm1w0+OisVc40qbliZ5rf2DDn24psDPSYcQ/U9WHK/dfIat07S/zz9NXijXodW2fATT6z1Tn+ZDIzPzfHxx+zZfof7//Lik0A2VdECgytY5kxtI4AMbR+AVpGw9BagnI4zHbi5JCCphjaIBpAy0EwY2gDYLbVsg9DO+GdCfLV3K8CjGrlFMN2GZaY15jEb6f9UGc6k+6HNces3qNL3UpqvjY2q5DG7OUzm+aY2GDGnc8WOzawsQG1MbTGtD40+aU68545dvP9m+9+ErFJYpBuxk2/tt9qozqDbv59UJ9f12Nmjrdh0ygCKcOkGFrHomJoHQFiaP0CtIyGobUE5XCY7cTJIQVNMbRBNICWg2DG0AbAbKtlX4b2+EePDzCq+imO2/w4ub3v7Yl5M41lkqE1Juy2a4ZEK5fmk69NPtMWm81Ms5rZQZMn8yFUuWInHZ8LdtI26syxmWPiT+aDstJjp5vf+EFWSePLxya4OMo4IYbWtbhNmsisPz8mi3vt7hqJ9ikCthcbYLkRwNC68bNpjZZtKLkfg5bdGeaLgJbzEfLzPVr2wzFXFFst+zK0xbRCm2QsMw2tMWc33/lo3QquTRsb02a7QqtpaNO3BKdrJH3lOJf5znygVby9OtcToW3Y6Ku+MjJgaF3rnDK0i3vvKbPufdg1Eu0xtME0wMRJH7XtxEm/J+WdAS3r1xct6zM2GdCyPmdbLfswtPqjKTxDvtXWzK22JkO+NjamzeYeWpctxzYkbEy1GcvPVu8uX383o959xZlbilmhtSEe9hgMrSPvFR06SpN5c2XWQ0/I4l/v6hiN5rYXG0i5EWDi5MbPpjVatqHkfgxadmeYLwJazkfIz/do2Q/HXFFstVyuhjbTWJp/p5u3JFOZr42NWY1XMTOfcmxWiL+bPjO69zTpycXZYjfkoVDGrL/21kf1jKr52YlH7lf3YKjvps+K7os1Pzef+L7ZTDNs+mU+8ROZs91Da8NGX/WVkQFD61jneUMukKorR8ii3ntJ9b1/cYxGc9uLDaTcCDBxcuNn0xot21ByPwYtuzPMFwEt5yPk53u07IcjhjY3x/Stt/367lZn8pJemxNHytbGfB+bVfO/sz3lOCmO+Vn604KT8meLnWl+bR4KZfJlPuU4zl/oU47NONMNrfnfmU857rP7dgWx0Vd/eWfA0DrWd9qX02XVjdeVJvN/kll/mSyLf9XLMWJlN2fiFKb+TJz0OaNlfcYmA1rW54yW9Rmj5TCMbbVcriu0uSibVcmtN92gUd/tmuv9t3Hfk14rFEY9ZClmAhhax+qYpxxXjRouVVddLov22Fuq73nIMWJlN7e92FQ2JffRYwLcGeaLgJbzEfLzPVr2wzFXFLSszxhDG4axrZYrzdBmvgYnTDVWzhKvyJr3uJoVzsxP/D7YfK8Aaqz+k7fxCGBoHdkbQ9t07lzpsfHPpcmC+TLr4Sdl8c67OEat3Oa2F5vKJeRn5JgAPxwxAfoc82VAy/kIuX/PedmdoU0EtGxDye0YWy1XmqF1o0prCDQ+AQytYw3i99BWjbxMqq6+QhbtuY9U3/2gY9TKbW57salcQn5GzsTJD0cMrT7HfBnQcj5C7t9zXnZnaBMBLdtQcjvGVssYWjfOtIZAaAIYWkfisaFtOmdO7SrtwgUy65GnZPFOv3aMXJnNbS82lUnH36iZOPljmS0SWtZnbDKgZX3OaFmfMVoOw9hWyxjaMPUgCwR8EcDQOpKMDa0JU3XFpVI1eqQs2quPVP/pz46RK7O57cWmMun4GzUmwB9LDK0+y1wZ0LI+f87L+owxtGEY22oZQxumHmSBgC8CGFpHkumGtuns2dJjk9QTjxctlJmPPi1LdvyVY/TKa257sak8Mn5HjAnwyzMpGlrWZ4wJCMMYLYfhzHlZn7OtljG0+rUgAwR8EsDQOtJMN7QmVNXll0jVNaNk0T77SfVd9ztGr7zmthebyiPjd8RMnPzyxNDq88yWAS3rs+e8rM+YP86EYWyrZQxtmHqQBQK+CGBoHUlmGtqm1dW1q7SLF8nMx56RJTvs7JihsprbXmwqi4r/0WIC/DPNjIiW9RljAsIwRsthOHNe1udsq2UMrX4tyAABnwQwtI40Mw2tCddh+DBpf+1VsqjP/lJ9532OGSqrue3FprKo+B8tEyf/TDG0+kyTMqBlfe6cl/UZ88eZMIxttYyhDVMPskDAFwEMrSPJJEPbdNas2lXaJYtl5uNTZMn2OzpmqZzmthebyiGiM1JMgA7X9KhoWZ8xJiAMY7QchjPnZX3OtlrG0OrXggwQ8EkAQ+tIM8nQmpAdLrtI2l93tSza9wCpvuNexyyV09z2YlM5RHRGysRJhyuGVp9rZga0rM+c87I+Y/44E4axrZYxtGHqQRYI+CKAoXUkmc3QNp01s/a9tEuXyswnnpMl2+3gmKkymttebCqDht4oMQF6bOPIaFmfMSYgDGO0HIYz52V9zrZaxtDq14IMEPBJAEPrSDOboeOviTYAACAASURBVDVhO1x6obS/frQs2q+vVE+8xzFTZTS3vdhUBg29UTJx0mOLodVnm54BLevz5rysz5g/zoRhbKtlDG2YepAFAr4IYGgdSeYytE1n/iCrplZpZdkymTn5eVmy7faO2cq/ue3FpvxJ6I4QE6DL10RHy/qMMQFhGKPlMJw5L+tzttUyhla/FmSAgE8CGFpHmrkMrQnd4ZILpP0N18ii/Q+U6gl3O2Yr/+a2F5vyJ6E7QiZOunwxtPp84wxoWZ8152V9xvxxJgxjWy1jaMPUgywQ8EUAQ+tIMp+hbfrDjNpV2uXLZeaTf5Ul22znmLG8m9tebMqbgv7oMAH6jNGyPmNMQBjGaDkMZ87L+pxttYyh1a8FGSDgkwCG1pFmPkNrwne4eKi0HztGFh7wG5l9+58cM5Z3c9uLTXlT0B8dEyd9xmhZnzGGNgxjtByGM+dlfc62WsbQ6teCDBDwSQBD60jTxtA2m/599F5aqamRmU+9IEu23tYxa/k2t73YlC+BMCNj4qTPGS3rM8bQhmGMlsNw5rysz9lWyxha/VqQAQI+CWBoHWnaGNpolXbY+dL+xmtl4YG/ldnj73LMWr7NbS825UsgzMiYOOlzRsv6jDG0YRij5TCcOS/rc7bVcqUY2snPvS5jJzwkkyeNqgf/nQ8/lf6DRshHL0xcqSjZ2vioXpz3qgsHSp/dV75Fz+Q+57KbZNLYobLFxutZp8w1HusgHJioEfPDfXbbTp58/vVEvYTChqF1JG1raJt9P612lXbFCp54nIO57cXGsWwV35yJk74E0LI+YwxtGMZoOQxnzsv6nG21XOmGdvzdT0TFGHDEvnkNbZ/+Q2TQcQclGtDMxubYqd9Mr/fjdNNsvh9x3oA6s5oU25jToSPHr2TCc6knpKEthIe+4vUypI8z/kNDXMvGYIChday1raE1aeJ7aRftuY9U3/2gY+bybG57sSnP0YcbFRMnfdZoWZ8xhjYMY7QchjPnZX3OtlqudEObaSzTK5O5QmtjXqbNqJbeh54lg086pJ5JTjfOJu4jT78st1x5dl26bLFPPne09N1rZysTbYJhaP3/bm3U61iZcv81slr3zisFt9GE7x5haB2JFmJom/74o/TYfANp8tM8qb7nIVm0x96O2cuvue3FpvxGHnZETJz0eaNlfcYY2jCM0XIYzpyX9TnbarmcDa0xgy+/8UEd7J5r9qi32pm0ApqtzaVj7pT7Hnm+LtbO225Sz5DGX5j2a6zWTS4afHTWImea1FyxM81vbJizbUVOMrTGTI8Z90Bdf9LNWbziGH+ZySjb97Y8TNx8OXLVKdMwZv6RIV9sY0bNtm6zfdt84rHnYpJeONM+/WO4x1vUC2Hg8zceQ+tIsxBDa1K1v/Yq6TB8mCzZbgeZ+cRzjtnLr7ntxab8Rh52REyc9HmjZX3GGNowjNFyGM6cl/U522rZi6GdMEHkq6/0B5WUYdiwxLzGbHw77Yc605l0P6w5ZvUeXepWUvO1sVmNMwYo332vSSt+2WLHBjbe4lqooTXG7aHJL9UZ+UwOZszp5tv0Y/utNop+lmSOjfm8+PfHRauVNjzyxSiUeSH9N8IwrDNNej4mmYJKr2nmeGwY+P7FwNA6Ei3U0Jp0PbbYUJp9/ZXMvuk2WXjI4Y49KK/mtheb8hp1+NEwcdJnjpb1GWNowzBGy2E4c17W52yrZW+G9vjj9QeVmeG440Ruvz0xb6axTDK0xozcds2Quq2k+drkMy+x2cy2PTXuqMmT+RCqXLGTjs8GO8lwpd+rG5u8bKbbmL033/0k+kNAHCvbsfl4mFz5YhTKPN+DutL7n22sSdvMc/0hAkMb/ldbNWNDDG27O26TjmefJss2+IXMeOUt1f6VWnDbi02pjavY+svESb8iaFmfMYY2DGO0HIYz52V9zrZa9mZoi2iFNslYZhohY7RuvvPRuhVcmzY2Bs52hTaUoc3cMhsrL92kZj7AKn07debW3H59d6tb0c3kETOMc8THZovREObZ/jCR/gCu9P4n1cOGSfpvKIZW/3wVNENDDK3pYLde20uLD9+XOVeMlvknDgza52JOZnuxKeYxlELfmDjpVwkt6zPG0IZhjJbDcOa8rM/ZVsteDK3+cArOkG/lL3O7cdJqXkMeCmVzD63LluN8IDJXaPMZbGNKD+rz67pt15krnOn5YgMav2rIxuBn9jczRr465buHNl//sxnafNvCMbT5lFbC3zfU0LZ5+EFZZcBRsrzHqjLj3X/JihYtSpiCv67bXmz8ZazMSEyc9OuOlvUZY2jDMEbLYThzXtbnbKvlcjW0mcbS/Pvr72bU3UuaZCrztbExq7GhzHzKsTHH302fGRnHpCcXZ4vt+lAoY9xfe+ujeg/DMj878cj9oq3WmYbP9MN8zJbj9D7Hik0/3oZHoTEy65SZwxhY84nfJ5yr/0l/pDA/y8ck87cz1wqtDQPfv+3cQ+tItKGG1qTtcuA+0urlF2XekAtk3jnnO/akPJrbXmzKY7SNNwomTvrs0bI+YwxtGMZoOQxnzsv6nG21XK6GNjYzMWmz/TU2dkmvzUk3bEltzM9is2r+d7anHCfFMT9LfzBRUv5ssTPNb6EPhTK5M7f8ZvYlfgJwPC7z/42hzdxCbH4er87a8sgXI1edzHeZ7c0fCjIfcpWt/3HspNXYXEwyfztzGdpCNOHrtx5D60jSxdC2euE56XLw/rKiVWuZ/t6/pKZrN8felH5z24tN6Y+0cUfAxEmfP1rWZ2wyoGV9zmhZnzFaDsPYVsvlbGizkTYrdFtvuoH1u101Kpbr/bdxvqTXCmn0pZhi5nvoUzH1tbH6gqF1JO9iaE3qzsceLq0ff0TmnzJI5gy/0rE3pd/c9mJT+iNt3BFgAvT5o2V9xpiAMIzRchjOnJf1OdtqudIMbeZrcPQrkZwhXtlLX/FMPzJ+v2oh93o21lh85sXQ5qeJoc3PKOcRroa2xbtvS7feO0c5Zrz2rixbd33HHpV2c9uLTWmPsvF7z8RJvwZoWZ8xhjYMY7QchjPnZX3OtlquNEOrT54MENAlgKF15OtqaE36Tmf+TtpOmigLDusvP44d59ij0m5ue7Ep7VE2fu+ZOOnXAC3rM8bQhmGMlsNw5rysz9lWyxha/VqQAQI+CWBoHWn6MLTNv/xCum+9cdSTWQ88Kot37e3Yq9JtbnuxKd0RFkfPmTjp1wEt6zPG0IZhjJbDcOa8rM/ZVssYWv1akAECPglgaB1p+jC0pgtVV10uVaOGy5KttpGZT7/o2KvSbW57sSndERZHz5k46dcBLeszxtCGYYyWw3DmvKzP2VbLGFr9WpABAj4JYGgdafoytNHEbIctpPmn/5I5I66S+Sef6tiz0mxue7EpzdEVT6+ZOOnXAi3rM8bQhmGMlsNw5rysz9lWyxha/VqQAQI+CWBoHWnuNH4XGbTV72WXtdy3Cbd59C+yyvFHyor2VTL9zQ+kplt3x96VXnPbi03pjay4eszESb8eaFmfMYY2DGO0HIYz52V9zrZaxtDq14IMEPBJAEPrSLPJJU2iCD07rC191z9E+q57iGzYdaMGR41f47Pg6OPlx2vGNjhOqTa0vdiU6viKpd9MnPQrgZb1GWNowzBGy2E4c17W52yrZQytfi3IAAGfBDC0jjR//+QF8vC/H5DPf/x3XaRtV99R+q5Xa25XadO5oAzNP/lYuu+8VdRm1iNPyeKdfl1Q+1I/2PZiU+rjbOz+M3HSrwBa1meMoQ3DGC2H4cx5WZ+zrZYxtPq1IAMEfBLA0DrSjO+hffXbF+WRlLF95NM/y7wlc+ui7rfuQXLg+ofKPuscYJ2p6opLpWr0SFmy/Y4y8/Ep1u3K4UDbi005jLUxx8DESZ8+WtZnjKENwxgth+HMeVmfs62WMbT6tSADBHwSwNA60sx8KFTNiprUiu39KWP7gEz58sm66N3adq9dtU39t+Wq2+bOumKFdN9mEzGv85lz5bUy//iTHHtZOs1tLzalM6Li7CkTJ/26oGV9xhjaMIzRchjOnJf1OdtqGUOrXwsyQMAnAQytI81cTzme9tO3kbE1BveDH96ty2RWbU/d6mzZtNsWWbO3efA+WeXk46RmlVVkxhsfRv+/Ej62F5tKYKE5RiZOmnRrY6NlfcYY2jCM0XIYzpyX9TnbahlDq18LMkDAJwEMrSNN29f2vDv9H/JwytxOeP8mWVazLMp62C+PkVO3PEvW6bReYi86H3mwtH56ssw/4WSZM2qMY09Lo7ntxaY0RlO8vWTipF8btKzPGEMbhjFaDsOZ87I+Z1stY2j1a0EGCPgkgKF1pGlraOM0MxZ8Lze+NVrGv3djXeYBm50ardh2b7tqvd60+PB96dZr++hnM594TpZst4Njb4u/ue3FpvhHUtw9ZOKkXx+0rM8YQxuGMVoOw5nzsj5nWy1jaPVrQQYI+CSAoXWkWaihjdN98eOncuPb18i9/7wj+lHzps3lzK3Pk8Hbnl+vRx0uvVDaXz9aFu+8i8x6+H/35Dp2u2ib215sinYAJdIxJk76hULL+owxtGEYo+UwnDkv63O21TKGVr8WZICATwIYWkeaDTW0cdr3f3gnWrF9/LOHoh+ZV/4M23mUbN699tU9TZYske7bbiLNvvlafhxzoyw46jjHHhd3c9uLTXGPovh7x8RJv0ZoWZ8xhjYMY7QchjPnZX3OtlrG0OrXggwQ8EkAQ+tI09XQxumfn/qMXPLyEPls9r+iHw3ZfpicvvWQ6H+3vXeSdBp0ktR06y7T3/xAVrSvcux18Ta3vdgU7whKo2dMnPTrhJb1GWNowzBGy2E4c17W52yrZQytfi3IAAGfBDC0jjR9GVrTDfOwKGNqb089OMp8dlj9VzLsV6Nkk26bS5d+faXVc8/K/FMGyZzhVzr2unib215sincEpdEzJk76dULL+owxtGEYo+UwnDkv63O21TKGVr8WZICATwIVY2gnP/e6jJ3wkEyeNKoev/F3PyFjxj2wEtOPXphY97OTzx0tL7/xQfTvnVPbf2+58uy673wa2jjos/+ZLBenjO2Xcz6PfnT+jpfJmU16Sbc9fhX9e+YzL8mSLbf2qYOiiWV7sSmaDpdoR5g46RcOLeszxtCGYYyWw3DmvKzP2VbLGFr9WpABAj4JlL2hfefDT6X/oBERs55r9kg0tG+++0k9k5oO+NIxd8q3036o+96Y2zVW6yYXDT46OkzD0Jq4S2oWy8V/GyJ3fDAuyrPTmr3k7pdXk7Um3iOLd+0tsx541KcOiiaW7cWmaDpcoh1h4qRfOLSszxhDG4YxWg7DmfOyPmdbLWNo9WtBBgj4JFD2hjaGlWuFNpeh7dN/iIw4b4BssXHtu2KNQR46cnydMdYytHG/n/risWgb8ldzv5R2S0Sm3VwlVdXz5McbbpEFhx/lUwtFEcv2YlMUnS3hTjBx0i8eWtZnjKENwxgth+HMeVmfs62WMbT6tSADBHwSwNBmbDlOX8WdNqNaeh96lky5/xpZrXvniHvmz7QNrcm5YOn8yNRO+uh2GfC2yK2pxdnFq/WQ6rc+kRUtW/nUQ6PHsr3YNHpHS7wDTJz0C4iW9RljaMMwRsthOHNe1udsq2UMrX4tyAABnwQq3tBmwjRbis3H3CdrY2ir56WWTQN9Hvv0L3LBC+fIxBu/lt2/EHntsF6y/rinA2UPk6Zl86bSskVT+WnhsjAJKzRLx3YtIsbLa1ZUKAH9YaNlfcYmA1rW54yW9Rmj5TCMbbXcuaplmA6RBQIQ8EIAQ5uBMb7n1jwUysbQLlqy3EshbIPMXTxXbr3xaBn6h8ejJqdetqOcdMI42aDLhrYhivq4Zk2bSNPUf0uX1RR1P0u9c61SfzRYsmyFrFiBodWqJVrWIls/LlrW54yW9RmbDGhZn7Otllu3bKbfGTJAAALeCGBocxha81Vj30ObrdLVp/SVjf/8rDyxvsiB/ZvLsJ1HyfGbDvQmjMYKZLsdqLH6Vy552dqmX0m0rM/YZEDL+pzRsj5jtByGsa2W2XIcph5kgYAvAhVvaI1hTX+Vj/n39lttVPcU48Z6ynG+AjedM0e6bbORNKuulv4Hifxp05T5/nlfuWb3W6SqZYd8zYv2e9uLTdEOoEQ6hgnQLxRa1meMCQjDGC2H4cx5WZ+zrZYxtPq1IAMEfBIoe0Ob/tqeGNzgkw6RAUfsG/0z/R2z5t/9+u5WZ2bj40O/h9a2wO0m3CodzzlD5q7eTdY7XWTGoh9kvVU2lDEpU7vFqtvYhimq42wvNkXV6RLsDBMn/aKhZX3GGNowjNFyGM6cl/U522oZQ6tfCzJAwCeBsje0PmElxQrxlONcY+i63x7S8rVX5NvfnSQHb/5Pee27l6VJkyaRqT1kw/7aw/ce3/Zi4z1xhQVk4qRfcLSszxhDG4YxWg7DmfOyPmdbLWNo9WtBBgj4JIChdaTZ2Ia25at/k64H7BWNYsbf/iFnf39T6vU+t0X/PnXLs+X8HS9zHGHY5rYXm7C9Kr9sTJz0a4qW9RljaMMwRsthOHNe1udsq2UMrX4tyAABnwQwtI40G9vQmu53PPs0aXfHbbK8x6oy/aMv5NZ3x8rFL58bjWyvtfdLrdaOk46tOzmONExz24tNmN6UbxYmTvq1Rcv6jDG0YRij5TCcOS/rc7bVMoZWvxZkgIBPAhhaR5rFYGibzpop3bffTJrOni1zRt8g8485QV74aooMnnKizFgwXX6+yvrRFuStVt3OcbT6zW0vNvo9Ke8MTJz064uW9RljaMMwRsthOHNe1udsq2UMrX4tyAABnwQwtI40i8HQmiG0vecu6XTaybKibTuZ8cpbsvxna8k3c7+Swc+dLK9++2I0ytG73SSH/fIYxxHrNre92Oj2ovyjM3HSrzFa1meMoQ3DGC2H4cx5WZ+zrZYxtPq1IAMEfBLA0DrSLBZDa4axyolHS5u//FkW7X+gVE+4u25kf3jhDLnzw1ujfw/cYrBcsNMIx1HrNbe92Oj1oDIiM3HSrzNa1meMoQ3DGC2H4cx5WZ+zrZYxtPq1IAMEfBLA0DrSLCZD22zad9Jtpy2l6dy58uOYP8qCo46tG93t798kF750dvTv/df7rdy8112OI9dpbnux0cleOVGZOOnXGi3rM8bQhmGMlsNw5rysz9lWyxha/VqQAQI+CWBoHWkWk6E1Q2k7aaJ0OvN3sqKqQ+3W49XXqBvhS189JwOfOVp+XDRbdljj13Lz3ndJ1zbdHAn4bW57sfGbtfKiMXHSrzla1meMoQ3DGC2H4cx5WZ+zrZYxtPq1IAMEfBLA0DrSLDZDa4azyvFHSptH/yILD/ytzB5ffyX2k1kfyclP9ZfPZv9L1u/8C7kptVK7YZdfOlLw19z2YuMvY2VGYuKkX3e0rM8YQxuGMVoOw5nzsj5nWy1jaPVrQQYI+CSAoXWkWYyGttk3X0v3nbaSJvN/kh+vv1kWHHF0vVH+sHCGDHzqKPn7t3+Tzm26RNuPd1qzlyMJP81tLzZ+slVuFCZO+rVHy/qMMbRhGKPlMJw5L+tzttUyhla/FmSAgE8CGFpHmsVoaM2Q2t55u3Q6a5DUdOwoP7zytixfdbV6I10hK+SUlKl9/LOHop//ca87pO96hzjScG9ue7Fxz1TZEZg46dcfLeszxtCGYYyWw3DmvKzP2VbLGFr9WpABAj4JYGgdaRaroTXD6nzMYdL6iUdl4W8Okdm33pE40qEvDpaJH9wSfXfpr66WEzb7nSMRt+a2Fxu3LLRm4qSvAbSszxhDG4YxWg7DmfOyPmdbLWNo9WtBBgj4JIChdaRZzIa22VdTa7ceL1wgP44dJwsO65842jFvXC5XvzE8+u70rYfIkO2HOVJpeHPbi03DM9ASExBGA2g5DGdMgD5ntKzPmPNyGMa2WsbQhqkHWSDgiwCG1pFkMRtaM7R2E8dLx9+fLjWdO6eeevy21HTrnjjiuz4cL+e9cHr03REbHStX7fpHRzINa257sWlYdFrFBDAB+lpAy/qMMQFhGKPlMJw5L+tzttUyhla/FmSAgE8CGFpHmsVuaM3wOh91qLR+8nFZePBhMvvm27OOePLnj8jAp4+SZTXLZM+1941e69OqWWtHQoU1t73YFBaVozMJMHHS1wRa1meMoQ3DGC2H4cx5WZ+zrZYxtPq1IAMEfBLA0DrSLAVD2/zLL6Tbjqmtx0sWy+ybbpOFhxyeddRvfPeqnJIytdPnT5MtV902egLyGlU/c6Rk39z2YmMfkSOTCDBx0tcFWtZnjKENwxgth+HMeVmfs62WMbT6tSADBHwSwNA60iwFQ2uG2O62W6TjkMFS07Vb7dbjLl2yjvyLHz+NnoD80cz3pWeHteWm1ErtZt23dCRl19z2YmMXjaOyEWDipK8NtKzPGEMbhjFaDsOZ87I+Z1stY2j1a0EGCPgkgKF1pFkqhtYMs/MRv5XWzzwpi/Y/UKon3J1z5POWzE2t1PaXF6ZOkXYt2kfbj3fruZcjrfzNbS82+SNxRC4CTJz09YGW9RljaMMwRsthOHNe1udsq2UMrX4tyAABnwQwtI40S8nQmqced+u9kzStrpa5F1wiP515Tt7Rn/HsAPnzv2rN75jdb5FDf3FU3jYuB9hebFxy0FaEiZO+CtCyPmMMbRjGaDkMZ87L+pxttYyh1a8FGSDgkwCG1pFmKRlaM9TWjz0snY87Ihr1rAcelcW79s5L4NKX/yC3vHtddNzQHYfL77Y8K2+bhh5ge7FpaHza1RJg4qSvBLSszxgth2GMlsNw5rysz9lWyxha/VqQAQI+CWBoHWmWmqE1w+0wfJi0v/YqWb5WT/lhyivRK33yff749jUy4tULosNO3vwMuWjnK/I1adD3thebBgWnUR0BJk76YkDL+owxtGEYo+UwnDkv63O21TKGVr8WZICATwIYWkeapWhozZC7HHqAtHp+itX9tDGi+z++SwY/d3L0z4M3PEKu6z3ekd7KzW0vNt4TV1hAJk76BUfL+owxtGEYo+UwnDkv63O21TKGVr8WZICATwIYWkeapWpoo/tp99hZms6aJXOHXiw/DT7XisTzU5+OnoA8f+lPsstavaPX+nRo1dGqrc1Bthcbm1gck50AEyd9daBlfcYY2jCM0XIYzpyX9TnbahlDq18LMkDAJwEMrSPNUjW0ZtitH39EOh9b+07aWfen7qfdLf/9tObY92a8LQNTpnbq3P/IRl03jZ6AvE6n9RxJ1ja3vdh4SVbBQZg46RcfLeszxtCGYYyWw3DmvKzP2VbLGFr9WpABAj4JYGgdaZayoTVD7zDiYmk/5kpZ/rO1au+nzfF+2nRU3877OvVan6Pk7e/fkB7tVpNxe/9Jtl5te0eaGFpngJYBmDhZgnI4zHbi5JCCpikCaFlfBmhZnzF/nAnD2FbLGNow9SALBHwRwNA6kix1Q2uGX3c/7X59pXriPdZEltQsjrYfP/3F49KmeVsZ3+de6ZXahuzysb3YuOSgLSYghAbQcgjKaDkEZbQcgjJaDkHZVssY2hDVIAcE/BHA0DqyLAdD2+zrr2rfT1vg/bQxujOnnCQPfDIp+qdZqd133d80mKrtxabBCWgYEWBVS18IaFmfMVoOwxgth+HMeVmfs62WMbT6tSADBHwSwNA60iwHQ2sQNPR+2hjfhX87W25/76bon9fsfrP0+8XRDSJre7FpUHAa1RFg4qQvBrSszxhDG4YxWg7DmfOyPmdbLWNo9WtBBgj4JIChdaRZLobWYGjo/bQxwlGvXSzX/+PK6J+X7HyVDNj81ILp2l5sCg5Mg3oEmDjpCwIt6zPG0IZhjJbDcOa8rM/ZVssYWv1akAECPglgaB1plpOhNSi69OsrrZ57VhYVeD9tjHHsW1fLFX+/KPrnudtdJGdsc15BhG0vNgUF5eCVCDBx0hcFWtZnjKENwxgth+HMeVmfs62WMbT6tSADBHwSwNA60iw3Q1t7P615P+1MmXf+MJl31pCCCU384BYZ+uLgqN3vtjxLhu443DqG7cXGOiAHJhJg4qQvDLSszxhDG4YxWg7DmfOyPmdbLWNo9WtBBgj4JIChdaRZbobW4Gj9xKPS+ZjDIjKz7ntEFu++R8GU/vzJn+SMKSdG7Y7e+ES5otd1VjFsLzZWwTgoKwEmTvriQMv6jDG0YRij5TCcOS/rc7bVMoZWvxZkgIBPAhhaR5rlaGgNkqrLL5Gqa0bJ8jV/Jj88Z95P27VgUk998ZgMePIwWbFihfx2g8Pl+j1uyxvD9mKTNxAH5CTAxElfIGhZnzGGNgxjtByGM+dlfc62WsbQ6teCDBDwSQBD60izXA2twVJ3P+2+B0j1Hfc2iNTL3/xVBkw+XOYtmSt7rr2vjN/nXmnWtFnWWLYXmwZ1hkZ1BJg46YsBLeszxtCGYYyWw3DmvKzP2VbLGFr9WpABAj4JYGgdaZazoW32zdfSbXfzftqG309r8L47/R9ywuTD5Pv538mOa+wit/W5Vzq06phI3vZi41i2im/OxElfAmhZnzGGNgxjtByGM+dlfc62WsbQ6teCDBDwSQBD60iznA2tQePjfloT59PqT1Lbjw+Xz2b/SzbrvqXcus89skbVz1aib3uxcSxbxTdn4qQvAbSszxhDG4YxWg7DmfOyPmdbLWNo9WtBBgj4JIChdaRZ7obW4PFxP62JY1ZoT3iin7w74y1Zp9N6kandsMsv61XA9mLjWLaKb87ESV8CaFmfMYY2DGO0HIYz52V9zrZaxtDq14IMEPBJAEPrSLMSDK1B5ON+WhNn3uK50Uqtube2e7tVU/fU3iNbrbpdXRVsLzaOZav45kyc9CWAlvUZY2jDMEbLYThzXtbnbKtlDK1+LcgAAZ8EMLSONCvF0Eb305r30878Qeb94SKZd/Z5DSa3QlbIiSlT++Tnj0rbFlY4OwAAIABJREFU5u2ildpePXtH8WwvNg1OTsOIABMnfSGgZX3GaDkMY7QchjPnZX3OtlrG0OrXggwQ8EkAQ+tIs1IMrcHUevJj0vnofhGxWfc+LIt77+lEz7yn1ryv1nzG7f0n2Xfd32BonYjaN2biZM+qoUfaTpwaGp92tQTQsr4S0LI+Y7QchrGtljG0YepBFgj4IoChdSRZSYbWoKq64lKpGj1Slq+xZu37abt2cyJ4wUtnyYT3b45ijN7tJjlu8+OldatmMnveEqe4NM5NABOgrxDbiZN+T8o7A1rWry9a1meMoQ3D2FbLGNow9SALBHwRwNA6kqw0Q2twdTnsQGk15RlZ1Gd/qb7zPkeCIiP/PkxueOuqKM7lu46WM7c/A0PrTBVDq4wwb3jbiVPeQByQkwCGVl8gaFmfMYY2DGNbLWNow9SDLBDwRQBD60iyEg1ts2+/qX0/rYf7aWP8Y9+6Wq74+0XRPy/89cVyyqbnOlaG5rkIYAL09WE7cdLvSXlnQMv69UXL+owxtGEY22oZQxumHmSBgC8CGFpHkpVoaA0y3/fTmpgTP7hFhr44OKrIwC0GywU7jXCsDs2zEcAE6GvDduKk35PyzoCW9euLlvUZY2jDMLbVMoY2TD3IAgFfBLwa2vF3PyFjxj2Q2LfBJx0iA47Y11e/iyZOpRpaUwDf99OamI9+fq8MfPL4qL79NzpBRu16Q9HUupw6ggnQr6btxEm/J+WdAS3r1xct6zPG0IZhbKtlDG2YepAFAr4IeDG0l465U+575PmoTx+9MDGxbxv1Ojb6eb++u8lFg4/21f9Gj1PJhtbAj++nXbzLbjLrwced62EuNs9OfVwOf+gQqVlRIweud6jcuFeyppyTVXAATIB+8W0nTvo9Ke8MaFm/vmhZnzGGNgxjWy1jaMPUgywQ8EXA2dAao9pzzR4yedIoqz716T9Epn4zPavxtQpSRAdVuqFtOmO6dN1vD2n+xWey4LD+8uPYcU7ViS82j3/8jAxIvat27uI50vv/9pHxqXfVtmjW0ik2jf9HABOgrwbbiZN+T8o7A1rWry9a1meMoQ3D2FbLGNow9SALBHwRcDa0ZnW20BXXhrTxNWDfcSrd0BqeLd57JzK1TRYukJ8Gnytzh17cYMzpF5v3ZrwtAyYfJt/99I1sv/rOMr7PvbJK684Njk1DDG1IDdhOnEL2qRxzYWj1q4qW9RljaMMwttUyhjZMPcgCAV8EnA2tr46UahwMbW3lWj/1hHTuf0j0v+dcea3MP/6kBpU082Lz+ex/y4mpldp/VX8sG3fdTG5NrdSu1fH/GhSbRhjakBqwnTiF7FM55sLQ6lcVLeszxtCGYWyrZQxtmHqQBQK+CHg1tGb78aSxQ2WLjder17/Jz70uYyc8ZL0t2dfgQsTB0P6Pcrvbx0nHc8+MflB91/2yaJ/9Ci5B0sVmxoLv5YTUSu3b378hPTusk1qpvUd+2XWTgmPTAEMbUgO2E6eQfSrHXBha/aqiZX3GGNowjG21jKENUw+yQMAXgSCG9p0PP5X+g0aUzX2z6fAxtPWl2GHExdJ+zJWyok1bmfnYM7J08y0L0mq2i838pT+lVmqPkBe/miJd23SLVmq3XX3HgmJzMIY2pAZsJ04h+1SOuTC0+lVFy/qMMbRhGNtqGUMbph5kgYAvAkEMrXmdz0OTX2KF1lfVijxOp0EnSdt7J8myddaVmY8/KzXde1j3ON/F5qSnjpQnPvuLtGrWOlqp3a3nXtaxORBDG1ID+bQcsi/lnAtDq19dtKzPGEMbhrGtljG0YepBFgj4IuBsaOPV13wdStqKnK9NKXzPCm1ylbr8dj9p9eLzsninX8usR56yLqXNxeas506R+z6+M4p50153ygHrHWwdnwNrCWAC9JVgo2X9XpR/BrSsX2O0rM+Y83IYxrZaxtCGqQdZIOCLgLOhTe9ItntofXW2GONgaJOr0nTWTOm6/57S/N+fyMKDD5PZN99uVT7bi82wv50j49+7MYp55W43ypG/PM4qPgdhaENpwFbLofpTrnkwtPqVRcv6jDG0YRjbahlDG6YeZIGALwJeDa2vTpVSHAxt9mq1+PD9yNQ2mTdXfjr9bJl70WV5S2t7sYmM7OuXynVvjoxiDttppJy0xel543MAhjaUBgrRcqg+lWMeDK1+VdGyPmMMbRjGtlrG0IapB1kg4IsAhtaRJIY2N8DWzz4lnQ8/KDpozhWjZf6JA3M2sL3YxEFuemeMDH9laPTPs7YdKmen/uOTnwAmID8j1yMK1bJrvkptj5b1K4+W9RljaMMwttUyhjZMPcgCAV8EnA3tpWPulIsGH11QfxrSpqAEAQ/G0OaH3fbO26XTWYOiA6sn3iOL9uubtZHtxSY9wF0fjpfzXqhdnTWrtGa1lk9uApgAfYU0RMv6vSq/DGhZv6ZoWZ8xhjYMY1stY2jD1IMsEPBFwNnQmvtme67Zw/oJxn36D5Gp30wvm1f4YGjtpFg1arhUXXW5rGjZUmY99qws2WqbxIa2F5vMxn/5930y6Jna+2iP2OhYuWrXP9p1rEKPwgToF76hWtbvWXllQMv69UTL+owxtGEY22oZQxumHmSBgC8CzobWdMSsuN73yPNRnz56YWJi34zxNZ9+fXcreEXX12A14mBo7al2OvN30nbSRFn+s7Vk1gOPyrJ111+pse3FJinrs/+ZLAOePFyW1SyV/df7rdy81132nauwIzEB+gV30bJ+78onA1rWryVa1meMoQ3D2FbLGNow9SALBHwR8GJo485Mfu51OeeymxL7dtWFA6XP7tv56nfRxMHQFlaKzof9RlpPeVqWrb9hZGqXr7FmvQC2F5tsWf/+3d/kxJSpnb2wOvWO2j3l1n3ukdbN2xTWyQo4GhOgX2RXLev3sDwyoGX9OqJlfcYY2jCMbbWMoQ1TD7JAwBcBr4bWV6dKKQ6GtrBqNVm6VDofcoC0evlFWbrp5ilT+5jUdOlSF8T2YpMr64cz35MBkw+Tr+dOlW1W20HG97lXurbpVlhHy/xoTIB+gX1oWb+XpZ8BLevXEC3rM8bQhmFsq2UMbZh6kAUCvghgaB1JYmgLB9h07tyUqd1fWr71pizZfsdopXZFm7ZRINuLTb6sX875PNp+/PHMD+UXXTeW8amV2v/r+PN8zSrme0yAfql9aVm/p6WdAS3r1w8t6zPG0IZhbKtlDG2YepAFAr4IeDG08VbjpG3Fub7zNYjGjIOhbRj9ZtO/l86HHiAtPvpQFvfaPTK10qSJN0NrejVz4Q/RSu2b0/4uP+vQM1qp3bjrZg3rcJm1wgToF9R24qTfk/LOgJb164uW9RljaMMwttUyhjZMPcgCAV8EvBjak88dLWus1i3rw57MQ6O+nfaD3HLl2b76XTRxMLQNL0Wzqf+RLgcfIM3/87ks2mc/qb7rfq+G1vRs0bKF0T21z099RlZp0zm6p3aH1X/V8E6XSUtMgH4hbSdO+j0p7wxoWb++aFmfMYY2DGNbLWNow9SDLBDwRcCLoTVPMJ40dqhssfF6if1658NPpf+gEWXzqp70QWJo3aTY/ON/SpfU9uNm30+ThQcdKosm3iWtWzWT2fOWuAXOaH3K00fJY58+KM2btoi2H++xdh+v8UstGCZAv2K2Eyf9npR3BrSsX1+0rM8YQxuGsa2WMbRh6kEWCPgiUDGG1mx9HjvhocT35ZoV5pff+CBiuvO2m6y0kpzrewytuxRbvPNWZGqb/vijLD7qWKkZP967oTW9POevv5O7P5oYdXjsnhPkN+v3c+98iUbABOgXznbipN+T8s6AlvXri5b1GWNowzC21TKGNkw9yAIBXwS8GNo+/YfIiPMG5FyhHTpyfKKZ9DWQbHHi1WHzfc81e6zUh8zt0Jnbp/N9j6H1U8GWr/4t2n7cZMliWTbwVJlx2VV+AmdEueSV82TcO9dHPx3Z63o5auMBKnmKPSgmQL9CthMn/Z6Udwa0rF9ftKzPGEMbhrGtljG0YepBFgj4IuDF0I6/+wl5891Pst4jm+8eW1+DyRUn2wptphk3BjjdfOf7HkPrr3qtnntWuvTrGwX8adBgmXvxCH/B0yKNfmOEXJP6z3wu2GmEDNxisEqeYg6KCdCvju3ESb8n5Z0BLevXFy3rM8bQhmFsq2UMbZh6kAUCvgh4MbSmM8b4mc/kSaPq9c38fOo30xv9/tkkQzttRrX0PvQsmXL/NbJa985Rv9N/Zv6d63vTBkPrS4q1cTo89Zi071+7FXjeuUOj/zQ+ZpXWrNaazxnbnCfnbneRRpqijYkJ0C+N7cRJvyflnQEt69cXLeszNhnQsj5nWy1jaPVrQQYI+CTgzdCaTpmV2jHjHqjXv359d8v69GOfA8kXS8vQzpm/NF9qvi+AQIvmTaXV/fdIs6OPilotunSELD7rnAIi2B96x/u3yRnPDIwanLLlaTJyt9H2jUv8yKo2zWX+4uVSU7OixEdSvN03Wm7RvIksWLS8eDtZBj1Dy/pFRMv6jE0GtKzP2VbLHdu10O8MGSAAAW8EvBpab71SCKRlaOcvWqbQ28oN2bxpE2nWrKksv2WctDr1lAjEktHXytLfnaoC5cFP7pdjHjkyin3UJsfITX3Gq+QptqBtUk+SXrykRmpWYGi1ahNrefFSDK0WYxMXLWvSrY2NlvUZo+UwjG213K518zAdIgsEIOCFQEUbWkMw3z2y+b5ny7EXHdYFSd8O1G7cH6Xj+b+PvvtxzB9lQeoJyBqf56c+LQMmHy6Lly+Sfdf9jYzb+08aaYoqJlvb9Mthu7VNvyflnQEt69cXLeszNhnQsj5nWy2z5Vi/FmSAgE8CFW9o8z3FON/3GFqfckyttrRsVu89tO2vu1o6XFZ7f+vsWybIwt/qvGrnje9elROfPFxmLvxBdlmrt9y6z93SrkV7v4MromhMnPSLYTtx0u9JeWdAy/r1Rcv6jDG0YRjbahlDG6YeZIGALwJlb2jTX9sTQxt80iEy4Ih96xjyHlpfcnKPk3SxqRo1XKquujwKrrlS+8+ZH0QrtVPnfiFbrrqt3NbnXunedlX3QRVhBEyAflFsJ076PSnvDGhZv75oWZ8xhjYMY1stY2jD1IMsEPBFoOwNrS9Q2eKwQuuXcLaLTdXIy6Tq6iuiZHNGXCXzT9a5p/arOV9GK7UfznxPNuj8i9RK7T3y81XW9zvIIoiGCdAvgu3ESb8n5Z0BLevXFy3rM8bQhmFsq2UMbZh6kAUCvghgaB1JYmgdAWY0z3WxaX/9aOlw6YVRi7lDL5afBp/rN/l/o81eVJ1aqT1MXvvuZVm9/ZoyPrVSu1n3LVVyNVZQTIA+eduJk35PyjsDWtavL1rWZ4yhDcPYVssY2jD1IAsEfBHA0DqSxNA6AizA0JpD242/WTqed1bUyhhaY2w1PkuXL5EBqZXaKV8+KR1adZTxqZXandbspZGqUWJiAvSx206c9HtS3hnQsn590bI+YwxtGMa2WsbQhqkHWSDgiwCG1pEkhtYRYIGG1hze9u47pdPpta/0MVuPzRZkrc+pTx8rD396vzRt0jTafrz3OvtrpQoaFxOgj9t24qTfk/LOgJb164uW9RljaMMwttUyhjZMPcgCAV8EMLSOJDG0jgAbYGhNkzYPPyirDDgqam1e52MeFqX1GfLX02TSR7dF4a/bY7wcvMERWqmCxcUE6KO2nTjp96S8M6Bl/fqiZX3GGNowjG21jKENUw+yQMAXAQytI0kMrSPABhpa06z1s0/JKkf3kyZLl8rCgw6V2eMm+u1MWrThrwyVm94ZE/1kxC5j5NhNTlbLFSIwJkCfsu3ESb8n5Z0BLevXFy3rM8bQhmFsq2UMbZh6kAUCvghgaB1JYmgdAToYWtO01SsvRaa26Zw5smjvfaX6zvtEmjb126n/Rrv2zSvkqtcvi/71hx0ulUFb/V4lT4igmAB9yrYTJ/2elHcGtKxfX7SszxhDG4axrZYxtGHqQRYI+CLg1dBu1OtYmTR2qGyx8Xr1+jf5uddl7ISHZPKkUb76XTRxMLR+S2F7sUnP2uKdt6RzytQ2m/adLP71rilTe6+saF/lt2P/jTb+vRtl2N/Oif512lbnyHk7XKKSRzsoJkCbcGpbfMtm0rpVM5k9b4l+sgrOgJb1i4+W9RljaMMwttUyhjZMPcgCAV8Eghjadz78VPoPGiEfvTDRV7+LJg6G1m8pbC82mVmb/+vjlKk9TJp//qks2XrbaKW2pnsPv537b7R7/3mHnP38wOhfx216igz/9TUqeTSDYgI06dbGbqiW9XtWXhnQsn490bI+YwxtGMa2WsbQhqkHWSDgi0AQQzv+7ifkockvsULrq2plHMf2YpOEoNnXX0UrtS0+eE+W/nIjmZ0ytcv+bx0VWk989hc56akjo9gHb3ikXNf7VpU8WkExAVpk/xfXRcv6vSufDGhZv5ZoWZ8xhjYMY1stY2jD1IMsEPBFwNnQxquv+TqUtBU5X5tS+J4VWr9Vsr3YZMvadNYs6XxMP2n52quyvOfa0Urt0o029tvJ/0Z7YeoUOTH1rtoFy+bLPj8/IHqtT5PU/5XCBxOgXyVXLev3sDwyoGX9OqJlfcYY2jCMbbWMoQ1TD7JAwBcBZ0Ob3pFs99D66mwxxsHQ+q2K7cUmV9YmixZGK7Wtnp8iNd26S/WEu2XJ9jv67eh/o731/esyIGVqZ8z/XnZec1cZnzK1Va06qOTyGRQT4JNmciwfWtbvZelnQMv6NUTL+owxtGEY22oZQxumHmSBgC8CXg2tr06VUhwMrd9q2V5sbLJ2PvZwaf34I9Ghs2++XRYefJhNs4KP+WTWP6OV2i9+/FQ2776V3LDn7bJOp/oPRis4qHIDTIAy4FR4n1rW723pZkDL+rVDy/qMMbRhGNtqGUMbph5kgYAvAhhaR5IYWkeAGc1tLza2WTv+/nRpN3F8dPjcCy6Rn86sfUKx78+3876OTO17M96Wrm26pe6pvU169eztO423eJgAbyizBvKtZf0el2YGtKxfN7SszxhDG4axrZYxtGHqQRYI+CLgbGjNNmPbD085tiVVucfZXmwKIdT+uqulw2UXRU3mH3OCzBl9QyHNrY9dtHyhnP7MCfLE5w9HbUbteoP03+gE6/YhD8QE6NPW0LJ+r0svA1rWrxla1meMoQ3D2FbLGNow9SALBHwRcDa06R05+dzR0nevnaXP7tvV61+2n/saRGPGYYXWL33bi02hWds8dL+scsrxIjU1snj3PWT2TROkpnPnQsNYHX/ZK+fLze9cGx176pZny/k7XmbVLuRBmAB92lpa1u95aWVAy/r1Qsv6jDG0YRjbahlDG6YeZIGALwJeDW22h0JNfu51GTvhIV7b46tqZRzH9mLTEAQt33hNVhl4vDSb+qUsW3/D6L7apZtu3pBQedtMfP8WGfrS4Oi4/df7rdyQ2oLcolnLvO1CHYAJ0CetqWX93pdOBrSsXyu0rM8YQxuGsa2WMbRh6kEWCPgiEMTQxq/2Ycuxr7KVbxzbi01DCTSb9p10Sq3UtnrlJVnRpm1kahfte0BDw+Vs9/zUp+W0Z4+XHxfNjh4Wdf0et8nPV1lfJVehQTEBhRIr/HhtLRfeo/JsgZb164qW9RljaMMwttUyhjZMPcgCAV8EvBrabFuLjaEdOnI8K7S+qlbGcWwvNq4IOg06SdreOykKM2f4lTL/lEGuIRPbfzr7k+i+2vd/eEe6tOmaMrW3S6+1Gv9hUZgAlXLXCxpKy/ojKe4MaFm/PmhZnzGGNgxjWy1jaMPUgywQ8EXAq6GNV2InjR0qW2z8v9eWmK3Ig086RAYcsa+vfhdNHO6h9VsK24uNj6xVo4ZL1VWXR6GMoTXGVuOzePmi1Ept6mFRn/0lCj+y1/Vy1MYDNFJZx8QEWKNq8IEhtdzgTpZBQ7SsX0S0rM8YQxuGsa2WMbRh6kEWCPgi4NXQmk5Nm1EtvQ89q17/rrpw4EoPivI1gMaOg6H1WwHbi42vrG0nTZROZ/4uCme2Hs++ZYKsaN3GV/h6cYa/MlRuemdM9LPfbXmWDN1xuEoem6CYABtKbseE1rJbb0u3NVrWrx1a1meMoQ3D2FbLGNow9SALBHwR8G5ofXWsVOJgaP1WyvZi4zNrqxefj56A3PSHGbJ0sy2i+2qXrbeBzxR1se74YJyc/+KZ0b/3W/cguSF1X23LZq1UcuUKignQR94YWtYfVfFlQMv6NUHL+owxtGEY22oZQxumHmSBgC8CzobWbCcu5xXYfKAxtPkIFfa97cWmsKj5j27+xWfRw6Javv0PqenSJXqtz+LddO51fX7qM3J66mFRsxdVy+Y9tpLreo+XdVfRMdDZRo4JyK8J1yMaS8uu/S619mhZv2JoWZ8xhjYMY1stY2jD1IMsEPBFwNnQmo706T9Epn4zPepTOT7JOBdsDK0vKdbGsb3Y+M1aG63JkiXSKfVanzaPPBT9e86Iq2T+yadqpJLPZv8rZWpPkPdmvC2d23SR63vfLrv23EMlV1JQTIA+6sbUsv7oiicDWtavBVrWZ2wyoGV9zrZaxtDq14IMEPBJwIuhjTsUPxTK/Ltf393kosFH++xrUcbC0Poti+3Fxm/W+tE6DDtf2t94bfTDhYceIT9ec4PKfbVLahbLaaknID/+Wa2BPm+HS+S0rc7RHFpdbCZO+piLQcv6o2z8DGhZvwZoWZ8xhjYMY1stY2jD1IMsEPBFwKuhTe/UpWPulPseeT76UeZTj311vhjiYGj9VsH2YuM368rR2jxwj3Q66zRpsnCBLNvgF/Lj6BtkyfY7qqQd9drFcv0/ap+w3OfnfWVUr7HRqq3mBxOgSbc2drFoWX+kjZsBLevzR8v6jDG0YRjbahlDG6YeZIGALwJqhja9g+W8JRlD60uKxWcCmv/7k8jUtnztlahzmluQJ3/+iAx5YZBUL5wla1atJaN2Hav6vlpMgF/dJkWznTjp96S8M6Bl/fqiZX3GGNowjG21jKENUw+yQMAXgSCGNu5svCV5yv3XyGrdO/saQ6PGwdD6xW97sfGbNXe0jhecK+1uHhsdpLkF+Zu5X0Wm9oWvpkS5hmw/TE7feojKUDEBKljrBS1GLeuPOnwGtKzPHC3rM8bQhmFsq2UMbZh6kAUCvggENbS+Ol1McTC0fqthe7HxmzV/tLBbkC9JbUEeFXVqn3UOkFG7jZUurbvm72QBR2ACCoDVwEOLVcsNHE7RNkPL+qVBy/qMMbRhGNtqGUMbph5kgYAvAs6G1ry2x/ZTjk9AxtDaVt/uONuLjV00v0eF3IL85OePypC/DpJZi2bKGlU/i+6r9fkUZEyAX20kRStmLeuPPlwGtKzPGi3rM8bQhmFsq2UMbZh6kAUCvgg4G9r0jpx87mjpu9fO0mf37er1L9vPfQ2iMeNgaP3St73Y+M1aWLRQW5C/++mbyNSa99aaz7nbXSRnbHNeYZ3NcjQmwAvGnEFKQcv6FPQzoGV9xmhZnzGGNgxjWy1jaMPUgywQ8EXAq6E1q7VJTzSe/NzrMnbCQzJ5Uu02ynL6YGj9VtP2YuM3a+HRQm5BvvL1S+W6N0dGndx7nf2jB0Z1bdOt8E6ntcAEOOGzalwqWrYaTBEfhJb1i4OW9RljaMMwttUyhjZMPcgCAV8Eghja+GFQbDn2VbbyjWN7sSkGAiG3ID/9n8ej1dofFsyQ1dqvIVemTO1uPfdqMAZMQIPRWTcsJS1bD6oID0TL+kVBy/qMMbRhGNtqGUMbph5kgYAvAl4NbbatxcbQDh05nhVaX1Ur4zi2F5tiQpC5BXnO8CulprP/p3hP++lbOTfagvx0NPxztrtQztzmDw1CgQloELaCGpWilgsaYJEcjJb1C4GW9RljaMMwttUyhjZMPcgCAV8EvBraeCU2c9ux2Yo8+KRDZMAR+/rqd9HEYcux31LYXmz8ZnWPlr4FuaZ7j9Q7a6+Uhb85xD1wQoSr3xguY964PPpmz7X3jbYgd2/bo6BcmICCcDXo4FLVcoMG24iN0LI+fLSszxhDG4axrZYxtGHqQRYI+CLg1dCaTk2bUS29Dz2rXv+uunDgSg+K8jWAxo6DofVbAduLjd+sfqI1//xT6TD0XGk9pXYFdcGRx8ic4aNkRVUHPwnSojzznyeiLcgzFkyXVdutLlemXu2ze8+9rfNgAqxRNfjAUtZygwfdCA3Rsj50tKzPGEMbhrGtljG0YepBFgj4IuDd0PrqWKnEwdD6rZTtxcZvVr/R2t08VjpeOERkxQpZvsaaKVN7pSza/0C/SVLRps+fFm1BnvLlk1Hss7cdKmel/rP5YAJsKLkdUw5adiMQpjVa1ueMlvUZY2jDMLbVMoY2TD3IAgFfBDC0jiQxtI4AM5rbXmz8ZvUfrfknH0emttVfp0TB5x9zgsxNbUNe0bqN92Sj3xgh16T+M589/q9PtFrbve2qOfNgAryXYaWA5aJlfVJuGdCyGz+b1mjZhpL7MWjZnWG+CLZaxtDmI8n3ECguAhhax3pgaB0BlqmhjYfV/sZrpcOw86N/Lu+5dnRv7aK9/d9L/ux/JsuQF06LVm2NmTVPQd5j7T5Zi8PEya9uk6LZTpz0e1LeGdCyfn3Rsj5jkwEt63O21TKGVr8WZICATwIYWkeaGFpHgGVuaM3wWnz4vnS4ILVa+/KL0WjnDzgl2oYszZt7hTdjwfdy7vOD5NkvJ0dxzfZjsw056cPEySv6xGC2Eyf9npR3BrSsX1+0rM8YQxuGsa2WMbRh6kEWCPgigKF1JImhdQRYAYY2HmL7a6+SDsOHRf9ctu76kald3HtPvwBT0cz2Y7MN2XzMg6LMau2q7VevlwcT4B37SgFtJ076PSnvDGhZv75oWZ8xhjYMY1stY2jD1IMsEPBFAEPrSBJD6wiwggytGWqLd98W8944HipTAAAgAElEQVTalq+9Go38p4GnydzLRvmFmIr23NSnotXa7+d/F73Sx7zax7ziJ/5gArwjx9DqI03MgJb1wduaAP2elHcGtKxfX1stY2j1a0EGCPgkgKF1pImhdQRYYYY2Hm7VVZdL1ajh0T+X/eKXMidlahf32t0rTPNKH/NqH/OKH/MZvO358vttL4j+NxMnr6gTg9lOnPR7Ut4Z0LJ+fdGyPmPOy2EY22oZQxumHmSBgC8CGFpHkhhaR4AVamjNsFu++Xrq3trUau1bb0YUFhx1rMz9wzCp6d7DK9Rr37xCrnr9sijmbj33irYgb7bmOlI9b6ksW17jNRfB/kfAduIEMzcCGFo3fjat0bINJfdj0LI7w3wRbLWMoc1Hku8hUFwEMLSO9cDQOgKsYEMbD73qyhFi/jOfFe2rUqb2Ipl/8qlewT4/9enonbXTfvpWurXtLtfufZ30/tlvMLReKdcPZjtxUuxCRYTGBOiXGS3rMzYZ0LI+Z1stY2j1a0EGCPgkgKF1pImhdQSIoY0INP/3J9Lh8kuk9eOPRP9ess12Mu/8YbL4V728AZ658IdoC/JTXzwWxTzsl0fJhTuOlE6tV/GWg0D/I2A7cYKZGwFMgBs/m9Zo2YaS+zFo2Z1hvgi2WsbQ5iPJ9xAoLgIYWsd6YGgdAWJo6xFo8/CDUpUyts2/+Cz6+YKjj5e5KWNb07WbN9C3vjtWLn3lPKlZUSPd2nSXi341Ug5a/zBv8QlUS8B24gQvNwKYADd+Nq3Rsg0l92PQsjvDfBFstYyhzUeS7yFQXAQwtI71wNA6AsTQJgKsGnmZVF19RfRdTYcOMi91b+38Ewd6gz172X/kzKfOlilfPhXF/O0Gh8tFO4+Urm38GWdvnS3RQLYTpxIdXtF0GxOgXwq0rM/YZEDL+pxttYyh1a8FGSDgkwCG1pEmhtYRIIY2K8Dmn3yc2oZ8sbSeXLtFeMl2O9RuQ97p187Q44nTre/8US5JrdYuXb5EOrfpIhftdIUcsmF/5/gEYIU2lAYwAfqkbU2Afk/KOwNa1q+vrZYxtPq1IAMEfBLA0DrSxNA6AsTQ5gXY5i8PSNWI1DbkL7+Ijp1/7IBoxbamS5e8bbMdkD5x+nLO53LJy+fVvd6n73qHyLDUam2Pdqs1OD4NMbShNIAJ0CdtawL0e1LeGdCyfn1ttYyh1a8FGSDgkwCG1pEmhtYRIIbWDuCKFVJ1xaVSdc2o6PiaTp1qtyGfcLJd+4yjkiZOd304PjK2C5ctkA6tOsqwnUamHhx1TIPi0whDG0oDmAB90rYmQL8n5Z0BLevX11bLGFr9WpABAj4JYGgdaWJoHQFiaAsC2OKfH6UeGpXahvzUE1G7pZtvKT8NGiwLD/xtQXGyTZy+njs1emDU5M9rn7a877q/iYztGlU/Kyg+B2NoQ2kAE6BP2tYE6PekvDOgZf362moZQ6tfCzJAwCcBDK0jTQytI0AMbYMAtnnwPqkaOVya/+fzqL25v9YY20X77GcVL9/E6U8fTZDLXvmDzFsyV9q1aB89MKr/RsdbxeagWgK2Eyd4uRHIp2W36LRGy+E0gJb1WduelzG0+rUgAwR8EsDQOtLE0DoCxNA6AWx3603SfuwYafbtN1Ec895aY2wX775Hzrg2E6dpP30bPTDqsU8fjGLtvc7+cu72F8sGnX/h1OdKaWw7caoUHlrjtNGyVu5KiYuWw1QaLetzttUyhla/FmSAgE8CGFpHmhhaR4AYWi8A2994rbS/YYw0nflDrbFNGdrI2KYMbtKnkInTff+8MzK2cxb/GIU6dcuz5ezthkqrZq299L1cg9hOnMp1/KHGVYiWQ/Wp3PKg5TAVRcv6nG21jKHVrwUZIOCTAIbWkSaG1hEghtYbwCZLl0q71GqtWbFtOmdOFNdsQTbG1mxJTv8UOnGasWC6jH79Mpn00e1RmFXbry5nb3OBHLHRsd76X26BbCdO5Tbu0OMpVMuh+1cO+dBymCqiZX3OtlrG0OrXggwQ8EkAQ+tIE0PrCBBD6xdgKlqT+T+lTG3tim2TRQuj+OahUcbYmodImU9DJ05vfPeqjH5jhLz8zV+jONuvvrOcve1Q2XHNXbyPo9QD2k6cSn2cjd3/hmq5sftdSvnRcphqoWV9zrZaxtDq14IMEPBJAEPrSBND6wgQQ+sXYFq0ptXV0Wqt+U9qamqN7SGHR8Z2lZ22kup5S2XZ8tqfF/q5/+O7ImP7zbyvoqbm9T7G2K7efs1CQ5Xt8bYTp7IFEGhgmAB90GhZn7HJgJb1OdtqGUOrXwsyQMAnAQytI00MrSNADK1fgAnRmk3/vnYr8k031H1bc/zxMvuUM2XxOus2OP/yFcsjU3vdmyOjGM2btohM7elbn9vgmOXU0HbiVE5jboyxYAL0qaNlfcYY2jCMbbWMoQ1TD7JAwBcBDK0jSQytI0AMrV+AOaI1+2pqtFrb7vZxdUfNP/6kaMV2+Vo9G9yPz2f/OzK2j3z6QBRjvc4bpu6vHSr7r1fYu3Eb3IEibWg7cSrS7pdMtzC0+qVCy/qMMbRhGNtqGUMbph5kgYAvAhhaR5IYWkeAGFq/AC2iNf/s39J13PXS9PbaBzyZz/xTBtUa21VXs4iQfMjzU59OPThquLw7463ogN7/t09qxfYC2bT7Fg2OWcoNbSdOpTzGYug7hla/CmhZnzGGNgxjWy1jaMPUgywQ8EUAQ+tIEkPrCBBD6xegZTRjAua+/o60ue4aaXP/3bWtmjaNTK35r6ZzZ8tIKx9223t/TK3YDq97zc+Jmw+KjG1Vyw4NjlmKDW0nTqU4tmLqM4ZWvxpoWZ8xhjYMY1stY2jD1IMsEPBFAEPrSBJD6wgQQ+sXoGW0dBPQ4t23o63IbR5+MGq9onUb+ek0Y2zPlBXt2ltGrH+YeWetMbXG3JrPKq07R6b2uE1PaVC8UmxkO3EqxbEVU58xtPrVQMv6jDG0YRjbahlDG6YeZIGALwIYWkeSGFpHgBhavwAtoyWZgJav/z0ytq2ffDyKUtOxY7RaOz/134oWLSwj1z/s3elvRcbWbEc2ny1W3SZ6f+2uPfdoULxSamQ7cSqlMRVjXzG0+lVBy/qMMbRhGNtqGUMbph5kgYAvAhhaR5IYWkeAGFq/AC2j5TIBrf72QmRsWz33bK2x7dqtdsX21DMto698mHlglHlwlHmAlPn8Zv1+0ROR1+7U8KcsN7gzgRraTpwCdads02Bo9UuLlvUZY2jDMLbVMoY2TD3IAgFfBCre0I6/+wkZM6726azpn49emFj3z5PPHS0vv/FB9O+dt91Ebrny7LrvMLS+pFgbx/Zi4zdr5UWzMQHG0EbGNmVwo0+zZjJvyAUy/5gTpKZL1wZBM6/4McbWvPLHfAZve35kbJuk/q/cPmg5TEVttBymJ+WbBS2HqS1a1udsq2UMrX4tyAABnwQwtClD++a7n9QzqemALx1zp3w77Ye67425XWO1bnLR4KOjwzC0PuWIofVLM3u0QiZOZguyMbZmS3L0adIkMrULUv8t3WSzgrv8zbyvIlN7/8d3RW3X6vB/kak9eMMjC45VzA1sJ07FPIZS6FshWi6F8RRjH9FymKqgZX3OtlrG0OrXggwQ8EkAQ5vH0PbpP0RGnDdAtth4vYj7Ox9+KkNHjpfJk0ZhaH0q8b+xbC82CqkrKmRDJk5mxbbdHeOl9eTH6lgt2mPvyNgu2nvfgvm9/PVfZfSbI+SN716N2v56rd2j99duvdr2BccqxgZoOUxVGqLlMD0rnyxoOUwt0bI+Z1stY2j1a0EGCPgkgKHN2HLcc80edWZ12oxq6X3oWTLl/mtkte61rzHJ/BkrtD7lyAqtX5rZo7lMnJp//E9pd+dt0vaO26TJkiVRkqUbbRIZ2/lHHy/SvHlBw5j00e3Rg6NmzP8+anfUxgOiJyJ3a9u9oDjFdrDtxKnY+l1q/XHRcqmNtbH6i5bDkEfL+pxttYyh1a8FGSDgk0DFG9pMmGZLsfmY+2RtDO1Pi5b5rEfFx2retIk0b9ZUFi2tvceSjw6Btq2ayaIlNVKzYkWDEzSZ86O0uG28NL/tVmn6xRdRnBWrdJalJwyQZQNOkpqePa1jL1i6QC5/+VK57o3a3792LdvLkB3Pl9O2GSzNmxZmkK2TKh+IlpUB/ze8Dy2H6WnpZkHLYWqHlvU522q5fevSvO7oEyQDBIqTAIY2oy5mS3H/QSPEPBTKxtDOnb+0OCtbor1q0bxpaoGviSxchKHVLGH7Ns1lweLlUlPTcEOb3r8WD9wnLVPGttnLL9X9eOlhR8iS4wfI8h13th7KRzM/lCteuVQe+/ThqE2PdqvKoK3PlNO2Hpy6dbe0HhyFlq3L7nSgby07daZMG6PlMIVFy/qcbbXcoV3DXlWnPwIyQAACSQQwtDkMrfmKe2jD/uLYbgcK26vyy6a1ta3la6+k7rO9Xdo8cE8dtCXb7yQLf3uoLDzo0OjdtjafZ/8zWW555zr5+3d/iw5frf0acvJmp8uJW5xm07wojkHLYcqgpeUwvS+NLGg5TJ3Qsj5nWy2z5Vi/FmSAgE8CFW9ojWGNH/AUG9jtt9qo7inGPOXYp9zyx7K92OSPxBG5CGhPnJp9NTVlbFP32abutW06e3ZtV1IrrMbUGnO7aM99rAr01BePyS3vXlf34Kg1O6wlJ29+hhy/6UCr9o15EFoOQ19by2FGUdxZ0HKY+qBlfc62WsbQ6teCDBDwSaDiDW36O2YN2H59d6szszFo3kPrU3K5Y9lebML1qDwzBZs4LV8ubf98r7R56H4xT0mOP8vX/FmduTUPlMr3eeLzh6MV27e+fz06tGeHteXkLc6QYzY5KV/TRvseLYdBH0zLYYZTlFnQcpiyoGV9zrZaxtDq14IMEPBJoOINrStMnnLsSrB+e9uLjd+slRetMSZOzaZ+KW0fvC8yt80/+bgO+pLtdvivue0nNZ065SzGY58+KDenVmzfnf6P6Li1O60rp6SMbf+NTii6IqLlMCVpDC2HGVnxZEHLYWqBlvU522oZQ6tfCzJAwCcBDK0jTQytI8CM5rYXG79ZKy9aY0+cWr76N2nz4P3S9qEHpMm8uXUFWPibQ2q3JOd5r+3Dn94vt7x9nbz/wztR23VX2SDainzERscWTTHRcphSNLaWw4yycbOg5TD80bI+Z1stY2j1a0EGCPgkgKH9f/beBEzO4jzUrVk0m9YZ7RtaQBtaACEQmzEGvAG5XhIb42DH5xzHjs/xvQneT3DsGzvO8RJCcg8nXkIuPpjYsZ3DiW+CHNuAAQNGbAIkIYHQvmukkTQjaaRZb9Xf062eVvd0dVfVX//yNs88PUvVV1Xv92n436l/MaSJ0BoCRGjtAtSMFpkDJ3lKstqxVXLb9PAvcrPvnzEzs2v7e7eK3mUrSq7qf732o+BU5I2HXwnaLGpbIj6y4o/EbUv+QIyqa9Ck4aaZ7oGTm9HTEzUytZxg5NRyOMmllt1z1q1lhNZ9LhgBAjYJILSGNBFaQ4AIrV2AmtGieOCkbiQVyK38GPXqxtxKei5bLXdtb83cJbmtregKf7r5AfEdKbabj2T6jRk1Vty29A/EBxb/gVg8aakmFbvNdA+c7I6avmhRrOWkZYFaDiej1LJ7zrq1jNC6zwUjQMAmAYTWkCZCawgQobULUDNa1A+c1ON/1K5ts7zmtrYz/5Tk3wvE9vQ7bym60gdf+yfxT5vuF0/teSz38+vnvE184MKPiJvPf7cmHTvNdA+c7IyW3ihRr+UkZIZaDieL1LJ7zrq1jNC6zwUjQMAmAYTWkCZCawgQobULUDNabA6cBgczu7b//GPR9Kt/z62uf/qMs3dJXnHxOat++dCL4kevfj+Q297+nuDnc8bNz+zaXvgHYnLzFE1S1TfTPXCqfgR6KgKxqeUYp4taDid51LJ7zrq1jNC6zwUjQMAmAYTWkCZCawgQobULUDNaHA+c6vbsHrre9sdi1MYNuZX2rLo8J7cDEycNI9DV0yn+6dX7pdh+X56O/GruZ+9bfHsgt6unX61JrPJmugdOlUemRz6BONZy3DJILYeTMWrZPWfdWkZo3eeCESBgkwBCa0gToTUEiNDaBagZLe4HTg1rfxucjqx2b2uPHcutuvtd7xWnb3m3vEvyTWKwuWUYjUd3/iLYtV2z9We57186bbX4gLyBlJLbGvmfzZfugZPNMdMYK+61HIecUcvhZIlads9Zt5YRWve5YAQI2CSA0BrSRGgNASK0dgFqRkvSgVPuLsm/WHN29bW14vTbb8p8yEcADUyanPvZjuNbg11bJbeHu9uD77c2twU3kFJie/6EhZoUR26me+BkZbAUB0lSLUc1jdRyOJmhlt1z1q1lhNZ9LhgBAjYJILSGNBFaQ4AIrV2AmtGSeOBUt3ePaP7Z/xJN/75GqOfc5r/OXPuWIbm9SfTPmZf70U82/SC4znbtvqdy33v7vFuC62zfNu9mTZrFm+keOBkNQmeuoQ2hBqjlECDLIZL4ezkccvqj6NYyQqvPlJYQiAIBhNYwCwitIUCE1i5AzWhJP3CqO3hANMod26Z/f0g0/fLnw6j0rFwlzgQ7t7eI3qXLgp89v/+ZQGzVrm32dUHrInGbFFt1SvKEplZNsmeb6R44VRyYDsMIJL2Wo5BuajmcLFDL7jnr1jJC6z4XjAABmwQQWkOaCK0hQITWLkDNaGk6cKo50SWaArmVH/K95tTJHKW+RUtypyb3rL5SHD3dkbs78tajrwftamtqc2K7ctrlmoSF0D1w0g5Iw6IE0lTLvkqAWg6HPLXsnrNuLSO07nPBCBCwSQChNaSJ0BoCRGjtAtSMltoDJ/kYoEBufyF3bqXg1rYfyhEbmDhRnHnTdUKdntxz7XXiocFXxY82fl/8asfZa3OvmHFNILe/t/j3y5LWPXAqG4gGIxJIbS2HWBfUcjiwqWX3nHVrGaF1nwtGgIBNAgitIU2E1hAgQmsXoGY0DpwyoBp/81gguI2//HdRv+2NYfT6FiySgvtmsePSheLe1jfEfTv/SRw/k7mj8pSWqcF1tupjzriz1+TmB9A9cNJMGc1KEKCW3ZcGteyecfB7ZUKj6OjqFX39A+EMmMJRdGsZoU1hcbDkWBNAaA3Th9AaAkRo7QLUjMaB07mg6rduEY1PPCYapOQ2PvHrYY8DUq3PyFOSX1jSKv7ftm3iH8ZtzgW4+YL3iNuWfES8Zc5bhwXVPXDSTBnNEFpvNUAth4Oe38vuOevWMkLrPheMAAGbBBBaQ5oIrSFAhNYuQM1oHDiVB9Xw7DOB2Db85nHR+NQTwzr0jW4WL144STwwabd4ZL4Qr8qnAi1sWyLes/D98uMDYva4OVxDWx6xlRbUshWMIwbRlQD3M0n2CNSy+/zq1jJC6z4XjAABmwQQWkOaCK0hQITWLkDNaBw4aYIaalZz8oQ8PVmKrRRcdZpy/aZXhwXY3VYvfjG3Tzwqzz5WgrvswreLW5feJm5f8fvi2IneygajdUUEqOWKcFXVWFcCqgpOpxwBatl9MejWMkLrPheMAAGbBBBaQ5oIrSFAhNYuQM1oHDhpgirRrG7XzkBs1SnK6r320MFhLZ+bKcVWyu1vF40Wre+4Tbxn8W3isulXmg1K76IEqGX3haErAe5nkuwRqGX3+dWtZYTWfS4YAQI2CSC0hjQRWkOACK1dgJrROHDSBKXZbNRLL+YEV12DW9PXl+t5pl4EO7cblk0XLW97r7jinX8ipo+RxsvLCgFq2QrGEYPoSoD7mSR7BGrZfX51axmhdZ8LRoCATQIIrSFNhNYQIEJrF6BmNA6cNEFV0aymt1c0yJ3b0U8/LvofWSNGbzh7AykVbu84ITYvnylqr79ZXPi+z4r+GchtFZhzXahlE3p6fXUlQC8arUoRoJbd14ZuLSO07nPBCBCwSQChNaSJ0BoCRGjtAtSMxoGTJiiDZtkDp843dknB/bU4vOYHYsLTz4rJR04Ni7p77iTRd+31Yvw7PyB6Lr9SDIwfbzBq+rpSy+5zrisB7meS7BGoZff51a1lhNZ9LhgBAjYJILSGNBFaQ4AIrV2AmtE4cNIEZdCs1IHTyZeeFNsevEc0PfmEuGzTMdFScM+oE4sXiJrV14rey1aLnlWXi74LFhrMIvldqWX3OdaVAPczSfYI1LL7/OrWMkLrPheMAAGbBBBaQ5oIrSFAhNYuQM1oHDhpgjJopnPg9NLBF8SmB+8Stb/+pbj8jVPiij1C1A0MH3RgytRAbLMfvatWi8GGBoOZJasrtew+nzq17H4WyR+BWnafY91aRmjd54IRIGCTAEJrSBOhNQSI0NoFqBmNAydNUAbNdA+cskP8cvtD4tGt/yqOPfFvYtEbHeLK3SIQ3Bld506iZ2j3tvfSjOj2z5ptMNN4d6WW3eev0lp2P6NkjkAtu8+rbi0jtO5zwQgQsEkAoTWkidAaAkRo7QLUjMaBkyYog2a6B07Fhnh6z+PilzvWiId3/FzUb30jEFv1cfXeOnHRvv5zuvTPmSt6lNyuXCX6li4TvRcuFwMTJxrMPj5dqWX3uTKpZfezS84I1LL7XOrWMkLrPheMAAGbBBBaQ5oIrSFAhNYuQM1oHDhpgjJopnvgVG6IV9rXiV9tXyM/HhLr218SY88IcaWU2yv31Iibj0wWy7efEE1dw280pWL2zz5Piu0y0Sc/1HuvFN2+hYvLDRe7n1PL7lNmq5bdzzTeI1DL7vOnW8sIrftcMAIEbBJAaA1pIrSGABFauwA1o3HgpAnKoJnugVMlQ2w7tkX8Su7c/mrbGvHbfb/JdV1xUIjfP7FQ3HC0VSzce1qMee0NUXPq5DmhB5tbMmIbCO7yzOdLlsX6zsrUciUVVF1bF7Vc3UyS3Ytadp9f3VpGaN3nghEgYJMAQmtIE6E1BIjQ2gWoGY0DJ01QBs10D5yqHeLQyQOZ05LV7q18z39dNGWl+GD9avH2kzPF/D0nxKiN68WoVzeIul07iw7XN3d+5lRlJblqV1eJ7rzzq51aqP2oZfe4Xdey+xXEYwRq2X2edGsZoXWfC0aAgE0CCK0hTYTWECBCaxegZjQOnDRBGTTTPXAyGCLX9WTvieB628ypyWvEid6zd5I6v3WhuHHOO8Vb598krm5eJsV2vajfuCEQXCW66vOaHnkec8FrcOy4YAc3I7gZ0VVfD7aMtjFlazGoZWsoSwYKs5bdrya6I1DL7nOjW8sIrftcMAIEbBJAaA1pIrSGABFauwA1o3HgpAnKoJnugZPBECW7PrLz38Uvtz0kHt75c3HgxL5cuykt08Tb5t0k3jrvZnHj3Hfmvl+/eVMguqOk3NZnd3P37S0aXz0Xd9hpy1J0+8+b42IZWjGpZS1MRo181rLRxGPWmVp2nzDdWkZo3eeCESBgkwBCa0gToTUEiNDaBagZjQMnTVAGzXQPnAyG0Or6zL4n5WnJcvdWnpb8xtHXcn1Gjxoj3jr3JnHjPLl7K9/HNIwdFq+2/dDQqcobRf3Qbq7a1RX9595leaC1NbizcnDasrwmt2/BAqHEd2DSZK05mjSilk3o6fWNSi3rzTa+rahl97nTrWWE1n0uGAECNgkgtIY0EVpDgAitXYCa0Thw0gRl0Ez3wMlgiIq7bjz8SnC3ZHVa8kuHXhjW/4Y57xBvm3+zuHb2DeK8cXOLxx4YGHaqcva0ZSW/xV7q0UFKbDMfGcnNvouamornX6wDtWwF44hBoljL7lcd/gjUsnvmurWM0LrPBSNAwCYBhNaQJkJrCBChtQtQMxoHTpqgDJrpHjgZDGHUdWfnNnlasryplDwt+cndvx4W64LWReLKmW8SV824Vlw1+81iUvPIO611+/cNXZcrr8l9/TVR/8brwUftsWPF51hbW1Ryg13dtraK1kUtV4SrqsZRr+WqFhXBTtSy+6To1jJC6z4XjAABmwQQWkOaCK0hQITWLkDNaBw4aYIyaKZ74GQwhLWuh7vbg7slqxtLPbX3cdF55viw2CsmXyIF91pxtZRbJbot9Xo3hqo7eGBIbreIOiW5W5TobhH1O7aVnPvA5Cmib85c+RzdOcGzdNX1uX2z1Lv8kF+rRw/lv6hla2VQMlCcatk9DXcjUMvu2GYj69YyQus+F4wAAZsEEFpDmgitIUCE1i5AzWgcOGmCMmime+BkMISzri/sXyue3veE+O3e34in9jwu+gZ6h411xYxrxJWzpOBKyVWiW+lL3VW5fosU26Gd3EByg8+3iJquzhHDDUyZKvqGRLdfim7LovNF55SZomfm7IzwRuwuzJWyiWL7ONdyFHmWmhO/l91nS7eWEVr3uWAECNgkgNAa0kRoDQEitHYBakbjwEkTlEEz3QMngyFC6do/2C+ellL7tJTbp+Xu7fP7nxk2blN9s7hKnZ48S+3eXisunnKp0bzq9u4Rdbt3yY+don7ovW737uAZunV7dslHDPWMLLzyRlR9clc32N0tsss7OHqM0fzS2DkptRz13PF72X2GdGsZoXWfC0aAgE0CCK0hTYTWECBCaxegZjQOnDRBGTTTPXAyGMJL164znUO7t0+Ip3Y/Ll49sn7YPMY3ThAXSam9aMpKsVyeqnzR1JVi1tjzrM1VXa+blVv1PubQXtG3dbuo3SUlWH5d7Jm6+YMPTJyUOY25QHjVbm+fPK15cMzwuz1bm3iMAyW1lqOWEn4vu8+Ibi0jtO5zwQgQsEkAoTWkidAaAkRo7QLUjMaBkyYog2a6B04GQ0Si68GT++XO7RPB7u3Te34jdhzfes68po2ZIdR1uEpyVyjZlZI7sWmSlfkX1nLdgf3DhFft9tbL3d7sLm/NmdMjjqvuzKzk9hzpHdrtHRg3zsq84xQkLbXsOyf8XnafAd1aRmjd54IRIGCTAEJrSBOhNQSI0NoFqBmNAydNUAbNdA+cDIaIZFM4slMAACAASURBVNcDJ/eJlw+9GHy8Ih8N9MqhdeJI9+Fz5jp3/PlDgpsV3ZVCPRu30leltaxuVJU9pTl4l7u69fJU5jq1wyu/ruk+NbLwyrswD0ydJvqnzRD98n1g2vTgvV++Z74v36dNE4MNjZUuJbLt01rLYSek0loOe35JGE+3lhHaJGSbNaSJAEJrmG2E1hAgQmsXoGY0Dpw0QRk00z1wMhgiNl23H3tjSHDXScHNyO6pvpPnzH/xxKW505WzpyzX1daNuE7btVx76GDm2t2ha3aD92CXd0h4T50772ITDHZ6c5I7Iye7+RKsZHhw1KjI55FaDidFtms5nFnHaxTdWkZo45VXZgsBhNawBhBaQ4AIrV2AmtE4cNIEZdBM98DJYIhYd910eIMU2xcyotueEd2BwYFha1Iyu2LyyuAU5cwpy5cKJb35r7BrufbIYVF34ICoVac2H5Qf8r1W7foWvNf0Dr8zdKlkKfEdaJsUPH93oE1+Lq/xHWiVnwffz/vItmttDT3v1HI4yMOu5XBWFa1RdGsZoY1W3pgNBMoRQGjLESrzc4TWECBCaxegZjQOnDRBGTTTPXAyGCJRXfsG+gKpVXKbPV1585FXz1mjOi15hbwWV+3gqo+3nL9atI6SN3nqHy7DvuHUHm7PSK6U37oD8kZWUnozEnz2Xf1c9PdXNtXa2iHhVRKshDcrvwVSnP2ZkuUJEyobg9/LRryq7czv5WrJ6ffT/b2M0OozpSUEokAAoTXMAkJrCJADJ7sANaNx4KQJyqCZ7oGTwRCJ73qityt3inJGcteJnce3nbPuSS2Tg53cfNGdOnp6LPgo8VW7vrVHO+T7EVHbMfSR/7n6XvC1bHf8eOXrqqs7d7c32AXOl+Khz9VOcKv8GD8+Nw61XDnyanrwe7kaapX10a1lhLYyrrSGgG8CCK1hBhBaQ4AIrV2AmtE4cNIEZdBM98DJYIhUdm0/dUisV7u4BzOnK284vE7sPyF3Ogte6lFBmbsqrxQXTloulkxcJqaPmRl/Zn19efIrBbdDinAgvOpzJb1KjPM+VxLc2Vn5uuvrh06BniiEFN+ayZPE6XGtYnDoNOh+Kb7B5xNahbrz8+D4CZn35pbKx6JHQIDfy+4LQff3MkLrPheMAAGbBBBaQ5oIrSFAhNYuQM1oHDhpgjJopnvgZDAEXYck4OW9b4gX9z+fux5XXZvbeebcncyJzZPkNbjLpNwuDa7FVZKr3pvqmxPNUl3Pq2S3RspunRJctdsb7AgXiG9uV7hD1HRVIcGSorrJ1aAU24Gx4zPv40q8534uJVi2UTvC2baDTcnOR6li4/ey+3+Gur+XEVr3uWAECNgkgNAa0kRoDQEitHYBakbjwEkTlEEz3QMngyHoOiS0HV2951xDu+Xo5kBw18vTlF+VN6Da3LFBdHQfKcrsgtZFYskkKbptUnTlu5LcOePmpZpvTU/P0M7vEdHUdUw0dnaI7r0HC06PPixq5CnQage4pnPovcxjj3SgDjY0iMGxpWV4sGW03AluFgPqfXTm8+B7LS3BDvHw7w39XMaM+ovfy+4zpPt7GaF1nwtGgIBNAgitIU2E1hAgQmsXoGY0Dpw0QRk00z1wMhiCriMIbTE4+7r2SLHdKDYdkYJ7WL5LyVV3Wy72GtswLpDcxVJy1SnLSnLVh/p+2l6V1LLaDa6RglvbdXxIduW7+loKb+5d7v4Ok+AhGc62qTndbR1xsHOshDeQYfWe/cgT4bzvDeTLcfbzot+zJ8z8Xrae9nMC6tYyQus+F4wAAZsEEFpDmgitIUCE1i5AzWgcOGmCMmime+BkMARdKxTaYsD6B/sDqd0sJXfTkY2594Mnz70uV/WfM35+sHs7Z3zm47yx88TcCfPFeePmJlZ2w65ltTusTnmuPX7sXBlWciyfBVzT3S1q1PupU0Mfed87mfe53DEO2mg+Rqnaf1TBrnJ2pzgrzMHu8ZA4F3wvEObsrvKQKI+fMkF01jSKvsams7vN2TYxeF5xtezC7KdbywhtmFlhLAiYE0BoDRkitIYAEVq7ADWjIbSaoAya6R44GQxBVwtCWwpie/chuYub2cHdJHd1g8/le29/T0nuk5onnxVeKblzpOSeJ+V3rpTguNx1udjiklDLgSQrsQ0Et4QID8nxcGFWbfPkWfXPF+asXIckzKKhUQw2yg/5LhqlRJf4OtPu7M+Dr5V0y75nYxR+XRBzlDxNuzDG0NdCPj4qji/dWkZo45hd5pxmAgitYfYRWkOACK1dgJrREFpNUAbNdA+cDIagq0OhLQV367HX5aODdgSPD9rZuT143xW87xDdfadK5qS5vkXK7lwpuXI3V+7sKsnNyK7c5ZXv9bX1kc0ntVw+NTlhDgQ3u2ucJ8953wuEOV+uT2ZEu7GnW/R1nRRCCXPez2vl50Le3TpKL3UKd740iyHJVtIslDirn9fL07zV+6h6Mag+Vz/LfU9+Le+kLdSp4Eqcg3fVR7YN+uR9P9duKKaKL+MEcfPHCb4/FDP4eXZ8NR/5ffm9ptFNoqmpXhztKv2HKcUZoY1StTEXCJQngNCWZzRiC4TWECBCaxegZjSEVhOUQTMkwABeBV2jVMsHTuwTO7uk3B5TsrtD7Dq+XezolMIr3w93t4+4qtnj5mR2d8fKXd1hwjtfjGs8+0zYCtBYa0otW0M5YqCRarmm50ywUyzU+xn5EbxLKeuVO89DXwv5deb7Z4baFXytdqlzP1MxCr+W/fJiqFilYorBwXCguBhFSXNOeDOiG1xjnRPrejFqY/Fr611Mh5gQgIA5AYTWkCFCawgQobULUDNalCRAc8qxa4YEhJOyuNRyV0+n3MWVsju0q6s+39Uld3oD+d0+Iqy25omZ3dzc7q7c1VXX8Mrrd2eMneUcNLXsHHEwQFxqWc1VyXBGrjPSfFa0lWTLG4OpU7D7ht57++TXst2w78mfqV3noG1+H9VW9lXfl/2Fku5cu/yYmdjnxlR9M+MNn0feWOVkXJ1O3d8fTtIZBQIQsEIAoTXEiNAaAkRo7QLUjBanAyfNJUWuGRIQTkqSUMsDgwPBacs7lOSqdym5wXuwu7tDnOw9URJmY11T5uZU8nrd3GnMQzepUjevaqiT10UavqhlQ4Ca3ZNQy5pL9dYsqOW6QXHsqDy1OxBiKbpKvANxzoi0uj54yuUrvM2RgSEAgcoJILSVMxvWA6E1BIjQ2gWoGY0DJ01QBs2QAAN4FXRNQy0fOnUws5MrT2dWpy/n7/Sqn430mjZ6hpg2ZoaYMWamyH6u3qcPfX+6/L66vnekF7VcQUEaNE1DLRvgsdJVt5a5htYKboJAIDQCCK0haoTWECBCaxegZjQOnDRBGTTTPXAyGIKukkDaa1nt3qpd3B3q5lTq+t1AeDPX8Kp3tftb7tXa3BbIblZyp43OyK+SXfW9uW2zxIzxU8reSKfcOPx8ZAJpr+Uw6kP39zJCG0Y2GAMC9gggtIYsEVpDgAitXYCa0Thw0gRl0Ez3wMlgCLoitGVrYG/XbnHg5D6hbli178Te3Ofqe/uHvn+m/3TZOC2jWsTUlnN3e6e0TBVtTRNFm3xkkbrWd2LTJFFXW1c2Hg3OJcDvZfdVoft7GaF1nwtGgIBNAgitIU2E1hAgQmsXoGY0Dpw0QRk00z1wMhiCrgitlRo4cvqw2N81JLtKdKX8BhJ8cu/Q9/eL42eOaY81oalVTFSCK0V3YvOk4KNNiq56bw2kd0h+g+9PFC2jRmvHTnJDfi+7z67u72WE1n0uGAECNgkgtIY0EVpDgAitXYCa0Thw0gRl0Ez3wMlgCLoitKHUgKrlXnFKbD64I7fDq3Z398sd38OnDokj3YdFx+kj4sipdtFx5oh8oktlj3RRQpuV38wurxTelozsFsqvEmUlzEl88XvZfVZ1fy8jtO5zwQgQsEkAoTWkidAaAkRo7QLUjMaBkyYog2a6B04GQ9AVoQ2lBiqt5Y5uKben2zOiKz/vkDvAHfLznPiqz5X8KgmWn+uc8py/0Lqausyur5TfNim/E7Pym7crnBHks6dB19eNCoWVySD8Xjahp9dXt5YRWj2etIJAVAggtIaZQGgNASK0dgFqRuPASROUQTPdAyeDIeiK0IZSA65r+URvVyC2R5UIB7u9Q/IbiPFw+VU/6zxzvOJ1j2scP2y3d2KLlN1GKb0FMtw2dIr06FFjKh7DtAO/l00Jlu+vW8sIbXmWtIBAlAggtIbZQGgNASK0dgFqRuPASROUQTPdAyeDIeiK0IZSA1Gr5b6B3kB8i8lvdic4EORAhqUgy9Og+wf6K2LVVN+cOw1aXfc7tmGsGNMwLngfXT9WjG2UH6PGiTGF76Pk94faVborzO/lilJUVWPdWkZoq8JLJwh4I4DQGqJHaA0BIrR2AWpG48BJE5RBM90DJ4Mh6IrQhlIDSajlo90dUmyHBFed6px/GnR2V3hIfpUEd/edMmarpHiYCAeymxHeMUXeZ7VOFDX9LfK5wGOG9WuqazaeCwEyBHRrGaGlYiAQLwIIrWG+EFpDgAitXYCa0RBaTVAGzXQPnAyGoCtCG0oNpLGWT/WdzOzuSvk9fuao6OrpEid6Oou+d8nvq9Omg3fZLvP1CdHX32slP2qnd4w8BVqJcHO9Et7mzPuooffs9+SjlXI/r1M/bxFKqtVNt4a3z/Y/G6u2ptbKXKMeRLeWEdqoZ5L5QWA4AYTWsCIQWkOACK1dgJrREFpNUAbNdA+cDIagK0IbSg1Qy9VhPt3fXVqAs+Kb994zeEJK9PEhKT4r0Kf7uqubQAW9GuuaRhbkQKDzZFpJdb5AB1KdL9v5bTPy3VDXWMGM3DTVrWWE1g1/okLAFQGE1pAsQmsIEKG1C1AzGkKrCcqgme6Bk8EQdEVoQ6kBajkUzKLU72W106t2iLt6O+Wp0N3B6dDBR+/Zz5X0dvcOfT/bJvi6WPuh7+X9fGBwwPki62vrz9lhbsoX4XxBLpTlYTKdtzstT8fO7D6fFeiampqSa9GtZYTWeTkwAASsEkBoNXB+/HN3iSefXR+0vOby5eK73/x0rhdCqwGwgia6/7OpICRNixBAaN2XBbXsnrEagVp2z5lads/Ydy1nhDhPfvNFuKggVyLQGbHu7e8JBeRIp2OPaWiRN/IaLepE45BcD4lwgUB/bPXvhzJXBoEABOwQQGjLcPzK3feLvfvbcxKr5Hbm9MniS3d8OOiJ0NopxGwUDpzs8iwVDQlwz5lads/YtwSEs0L/o1DL4eQg6b+X1U5zqR3mYd+vYoc5f8faRrYGvzxoIwwxIACBkAggtGVA33T758XXvvBRccmyBUHLdRu2iDu/fq9Y88A3EFoHRcqBkwOoRUIm/cApHIojj0Ith5MFatk9Z2rZPWP+OGOPceHp2IEsD52O3S/OiN7BbnH4RFfme/1Dp24H75mdZDE4KH76gX+0NyEiQQACzgkgtCMg3n+oQ9z4/k+Jh3/y12L6lLagZeH32o+fcZ6kNA3QWF8rGhvqROcpO3eHTBO7StbaNnaUOH6yTz6bkb9CV8KtkrbUciW0qm9LLVfPTrcntaxLyqwdtWzGT6e3bi1PHu//BlY666ENBCCQIYDQGgothQQBCEAAAhCAAAQgAAEIQAACfgggtIZC29vn/s6AfkrDz6i1tTVC3aCwv5+dQ5cZqK+rDXZnB+WpVbzcEKCW3XAtjEotu+dMLbtnrEaglt1z1q3lUfJsMV4QgEB8CCC0ZXLFNbThFjPXaoXDm+sO3XOmlt0zViNQy+45U8vuGVPL4TDWrWUe2xNOPhgFArYIILRlSHKXY1ulphdH9382etFoVYoAEuC+Nqhl94yRgHAYU8vhcOb3snvOurWM0LrPBSNAwCYBhFaDJs+h1YBkqYnu/2wsDZfaMBw4uU89teyeMUIbDmNqORzO/F52z1m3lhFa97lgBAjYJIDQGtLkObSGAAu66/7Pxu6o6YvGgZP7nFPL7hkjtOEwppbD4czvZfecdWsZoXWfC0aAgE0CCK0hTYTWECBCaxegZjQOnDRBGTTTPXAyGIKukgC17L4MqGX3jPnjTDiMdWsZoQ0nH4wCAVsEEFpDkgitIUCE1i5AzWhIgCYog2a6B04GQ9AVoQ2lBqjlUDDzx5kQMOvWMkIbQjIYAgIWCSC0hjARWkOACK1dgJrREFpNUAbNdA+cDIagK0IbSg1Qy6FgRmhDwKxbywhtCMlgCAhYJIDQGsJEaA0BIrR2AWpGQ2g1QRk00z1wMhiCrghtKDVALYeCGaENAbNuLSO0ISSDISBgkQBCawgToTUEiNDaBagZDaHVBGXQTPfAyWAIuiK0odQAtRwKZoQ2BMy6tYzQhpAMhoCARQIIrSFMhNYQIEJrF6BmNIRWE5RBM90DJ4Mh6IrQhlID1HIomBHaEDDr1jJCG0IyGAICFgkgtIYwEVpDgAitXYCa0RBaTVAGzXQPnAyGoCtCG0oNUMuhYEZoQ8CsW8sIbQjJYAgIWCSA0FqESSgIQAACEIAABCAAAQhAAAIQCI8AQhsea0aCAAQgAAEIQAACEIAABCAAAYsEEFqLMAkFAQhAAAIQgAAEIAABCEAAAuERQGjDY81IEIAABCAAAQhAAAIQgAAEIGCRAEJrESah9Ah8/HN3iSefXR80vuby5eK73/x0yY5fuft+8eOfPZr7ebn2ejNIR6tKON/7w4fE3d/7KZwrLI1KGOeHXvPIWvHZr35bPHDPneKSZQsqHDV9zSvhXFjLWVobH/t++sBVsOJKGGfDLr3uI7kRvvVnnxA33bC6ghHT2VSX8/5DHeLG93+qKCRqeeTa0WWcjXLT7Z8XO/cczAWFbzr/bbLqeBNAaOOdv9jNXgnq3v3tOYlV/+OZOX2y+NIdHy66FvU/mjUPfCP3M/X1e2+6Vnz0gzfHbu1hTrhSzioP+X9YKJeXMNcS1bEqZZxdh5LZe+57MDiAQmjLZ7dSzkpon3tp84h/KCs/arpaVMo4K1tIbGV1UinnwuiqtvcdPFLy/5eVzSaZrStlXPj/usL+yaTEqiCQPAIIbfJyGukVKSH92hc+mtuVWrdhi7jz6/cOk9aRFsDBql564azHyaRVNYyzMqv+SKN2txDa8hmolDO/I8ozLWxRKWN10D9j6kT+sFgh6ko5F4ZXvzMe/slfi+lT2iocOT3NK2Ws2n/yP7w3d3ZB/u/o9FBjpRCIPwGENv45jM0Ksn/Vz/8fcrHvjbQg9dfUyy5ezIHUCJBscFb/k7/i0qXsBJTgXA3jwgMlhLb8r65qOBeecjxn1lTtP5iVn1HyWlTDWNWu4pp/miaiNXJtVMM5PyK7s+X/7VXDOPv74o6PvS84ruAYozxnWkAgigQQ2ihmJaFzquZ/NoX/Q1fXeXJ9i7sDp+y1RFyrbJdxsb/6I7Tlf9GZ/s5QI6gDVPUa6Vr98jNJbotKGWfb559dkJUCfjeXrpNKORdGYne2/L/Bahhn++T/gYY6Ls+aFhCIGgGENmoZSfB8qvmfTRZH9iY67AKULxATztnoXEdkV2gLb26WH53rEN1JgIqsLmu4/ZNf4w9hJTBX+vui1Fk1/IHG7u+M/Gjq94d6lbrXRPn/K6SjRaW1rKgU1i1/nElHrbDK5BFAaJOX00ivqNLrW9Ri+B9M5SmthnP+KEhAeeamjBGA8oxVC1PO1HJ5zpUyLla71LN9zipipZfllJ9FsltUUsvVCHCy6bE6CMSXAEIb39zFcubl7kBYeHogpwtWl+ZKORfeTRru5blXyrgwIgJQnrFqUSnnYndG53rwkVlXyli1f+aFjblrk9UfHR9c8wTXKpcp6Uo5Z+tfvbM76+b3hfo9fOu7rs/xpZb1ONMKAlEjgNBGLSMpmM9Iz4jLF6mRnsPH3WHLF4ouZxUpv636mmtoy/Mt5FbIrNwfBRBaPcaVci6s5fyDVf0R09eykt8XWdHKPiOcG2/p10slnLnURp9rfstKGKt++c9TpparY04vCPgmgND6zgDjQwACEIAABCAAAQhAAAIQgEBVBBDaqrDRCQIQgAAEIAABCEAAAhCAAAR8E0BofWeA8SEAAQhAAAIQgAAEIAABCECgKgIIbVXY6AQBCEAAAhCAAAQgAAEIQAACvgkgtL4zwPgQgAAEIAABCEAAAhCAAAQgUBUBhLYqbHSCAAQgAAEIQAACEIAABCAAAd8EEFrfGWB8CEAAAhCAAAQgAAEIQAACEKiKAEJbFTY6QQACEIAABCAAAQhAAAIQgIBvAgit7wwwPgQgAAEIQAACEIAABCAAAQhURQChrQobnSAAAQhAAAIQgAAEIAABCEDANwGE1ncGGB8CEIAABCAAAQhAAAIQgAAEqiKA0FaFjU4QgAAEIAABCEAAAhCAAAQg4JsAQus7A4wPAQhAAAIQgAAEIAABCEAAAlURQGirwkYnCEAAAhCAAAQgAAEIQAACEPBNAKH1nQHGhwAEIAABCEAAAhCAAAQgAIGqCCC0VWGjEwQgAAEIQAACEIAABCAAAQj4JoDQ+s4A40MAAhCAAAQgAAEIQAACEIBAVQQQ2qqw0QkCEIAABCAAAQhAAAIQgAAEfBNAaH1ngPEhAAEIQAACEIAABCAAAQhAoCoCCG1V2OgEAQhAID0EvnL3/WLv/nbx3W9+Oj2LZqUQgAAEIAABCMSCAEIbizQxSQhAAAL+CCC0/tgzMgQgAAEIQAACIxNAaKkQCEAAAhAoSeDeHz4k7v7eT4f9/NZ3XS++dMeHoQYBCEAAAhCAAAS8E0BovaeACUAAAhCINgF2aKOdH2YHAQhAAAIQSDMBhDbN2WftEIAABDQIILQakGgCAQhAAAIQgIAXAgitF+wMCgEIQCA+BBDa+OSKmUIAAhCAAATSRgChTVvGWS8EIACBCgkgtBUCozkEIAABCEAAAqERQGhDQ81AEIAABOJJAKGNZ96YNQQgAAEIQCANBBDaNGSZNUIAAhAwILDmkbXis1/9ttj42PcNotAVAhCAAAQgAAEI2CeA0NpnSkQIQAACiSPw8c/dJZ58dn2wLh7bk7j0siAIQAACEIBAbAkgtLFNHROHAAQgAAEIQAACEIAABCCQbgIIbbrzz+ohAAEIQAACEIAABCAAAQjElgBCG9vUMXEIQAACEIAABCAAAQhAAALpJoDQpjv/rB4CEIAABCAAAQhAAAIQgEBsCSC0sU0dE4cABCAAAQhAAAIQgAAEIJBuAghtuvPP6iEAAQhAAAIQgAAEIAABCMSWAEIb29QxcQhAAAIQgAAEIAABCEAAAukmgNCmO/+sHgIQgAAEIAABCEAAAhCAQGwJILSxTR0ThwAEIAABCEAAAhCAAAQgkG4CCG2688/qIQABCEAAAhCAAAQgAAEIxJYAQhvb1DFxCEAAAhCAAAQgAAEIQAAC6SaA0KY7/6weAhCAAAQgAAEIQAACEIBAbAkgtLFNHROHAAQgAAEIQAACEIAABCCQbgIIbbrzz+ohAAEIQAACEIAABCAAAQjElgBCG9vUMXEIQAACEIAABCAAAQhAAALpJoDQpjv/rB4CEIAABCAAAQhAAAIQgEBsCSC0sU0dE4cABCAAAQhAAAIQgAAEIJBuAghtuvPP6iEAAQhAAAIQgAAEIAABCMSWAEIb29QxcQhAAAIQgAAEIAABCEAAAukmgNCmO/+sHgIQgAAEIAABCEAAAhCAQGwJILSxTR0ThwAEIAABCEAAAhCAAAQgkG4CCG2688/qIQABCEAAAhCAAAQgAAEIxJYAQhvb1DFxCEAAAhCAAAQgAAEIQAAC6SaA0KY7/6weAhCAAAQgAAEIQAACEIBAbAkgtLFNHROHAAQgAAEIQAACEIAABCCQbgIIbbrzz+ohAAEIQAACEIAABCAAAQjElgBCG9vUMXEIQAACEIAABCAAAQhAAALpJoDQpjv/rB4CEIAABCAAAQhAAAIQgEBsCSC0sU0dE4cABCAAAQhAAAIQgAAEIJBuAghtuvPP6iEAAQhAAAIQgAAEIAABCMSWAEIb29QxcQhAAAIQgAAEIAABCEAAAukmgNCmO/+sHgIQgAAEIAABCEAAAhCAQGwJILSxTR0ThwAEIAABCEAAAhCAAAQgkG4CCG2688/qIQABCEAAAhCAAAQgAAEIxJYAQhvb1DFxCEAAAhCAAAQgAAEIQAAC6SaA0KY7/6weAhCAAAQgAAEIQAACEIBAbAkgtLFNHROHAAQgAAEIQAACEIAABCCQbgIIbbrzz+ohAAEIQAACEIAABCAAAQjElgBCG9vUMXEIQAACEIAABCAAAQhAAALpJoDQpjv/rB4CEIAABCAAAQhAAAIQgEBsCSC0sU0dE4cABCAAAQhAAAIQgAAEIJBuAghtuvPP6iEAAQhAAAIQgAAEIAABCMSWAEIb29QxcQhAAAIQgAAEIAABCEAAAukmgNCmO/+sHgIQgAAEIAABCEAAAhCAQGwJILSxTR0ThwAEIAABCEAAAhCAAAQgkG4CCG2688/qIQABCEAAAhCAAAQgAAEIxJYAQhvb1DFxCEAAAhCAAAQgAAEIQAAC6SaA0KY7/6weAqERWHrdR8Tb3nyZuPvP/0vRMd/83j8WK5cvLPlz1enWP/pzceBQh3j8wb8Nbd7ZcTds3i6+981Pi6svXz7i2GqOum1DXYTBYCo3hzuOBxFGyqHBEInueseX/4f45ePPBWuc1Dbeev2qf1vqtfGx74/I8aln14uPfe4usWzxPPHj73w50cxZHAQgAAEIpIcAQpueXLNSCHglMJLQZg+0f/6P3xDnzZxacp6FQvujf3lE/MXf/EBLNAuDZsUz//vFZO2vvv1jcd+Pfy7y57Zr70Hxzt//vPgPt75TfOYTt54z36zAlBMMrwnRHFyt5cX1r1uXMM3hc82UVE+b0naOiGXz88U/+ZC47d03VBrWeftsjZar7VL1We4PgXpguAAAIABJREFUCMX+yDPSv4tytescCANAAAIQgAAELBNAaC0DJRwEIFCcwEhCq6Rp38HDZXeNbAhtVp4Ld8qyB/qF31fzLhRXHSko1i+OtRGVdcRVaFXNqlclO6L5tah2xkv9YSRby4VnDpT7Q0/2jwBJ+INLHP9NMWcIQAACELBLAKG1y5NoEIBACQIjCa36mc4Omw2hVWONdMqlkuvsadGlDvx1hDYp0qCbG9eFX0poXY9rGl/V7Iypk0Y8lb5wjPxdZ3UGQql/G6VkuZzQqvGi8ocKU770hwAEIAABCCC01AAEIGCdQFb4CgMXO30ye/BdbLco/9rNbKzsDmq2X+EYI13nqnOgnx+v2HW9pdZWahdXR9Tzr7HMjl9MurM7cvlzLHdKaqn5lrseuFQ/ladSp9EWnmqdL/57DxzOXUeq5l/sFNxiHFS7D/2ff5m7hreQT6mcFp5SXpif/H5/+vV7c/Eruca1WD7y67hY/ZbjrtaXL6qlRD7LtrC+dP9dROVUcuu/fAgIAQhAAAKpI4DQpi7lLBgCbglkD/ILD7RL7dCW2sEq1t50h7aSa1tLCYOip7NDq9rp3OhKtVPzuvySxcOuAS3cSS4mbmoeSvZGuklWsTbZHcByclVqnZUKrVpjfj0Uu+6z2PfUPGdOnxRwKSV2xbiotuqV5ZJdR77854tfvlyXu3lZ9l9Ptn/+urL1lR+v0p3lwrordg23msNI1+bq/OGm2mt73f72IDoEIAABCECgcgIIbeXM6AEBCIxAoJTEFROF7MF7oViV2j0yFdpK7pI80o2qdIVW99rgYjgLT1m2vaOmc8qpLaEdaXdU3TVaR650hbZUrMLvl5I+3T96lKrzwu9XKrSFeS+VA9XuX3/1dNE/ZugIbal/e/xygwAEIAABCMSNAEIbt4wxXwhEmMBIu5rFhLbUQXkpWUiy0JY6VTR7CmtWdKp95Eqx019L3aU5W2KuhLbwZkY6sq4rtKViFdZmKenTufZ5pDovHL9SoS1W+8WulUVoI/yLkKlBAAIQgECoBBDaUHEzGASSTaBSoVUH77/z1qvOefSNS6FVz4jVubtrmDu0WdnM36kuJlbFrjEtd9pwVtwKRdjnDq1LoS21C18o5yZCW+q0evWvu3CHtxKhLRW32GnHCG2yf5eyOghAAAIQ0CeA0OqzoiUEIFCGQCVCO5IwuhJa3WtH1TLDEtpSp8jq7BQqKVWvkQR9pFPA2aE99xnGOtxd7dAW+4NF/j+5/HwhtPw6hgAEIAABCGQIILRUAgQgYJWA7jW0I11fqnsNbanncI60IN3H9owkLSq+zg6nzk2hTIRW99rTlcsXnvPYGJ35lzvluNi1z798/LmcYJfqX5g3nXXoPqLG9BpaHaFV+XdxDe1I9VLqdPtid4vW+Xehw9zqLwaCQQACEIAABBwRQGgdgSUsBNJKoNjpkdlHqOTfZXak55sWO/UyG7fwsSo6Ypafi2zswjhZ+cr/fjnBUHF//J0vF011OSHOdiomfdm1qjbZ3VfF8N3vuGbYnZB1bnJV7CZH2Z3dandos0Kfn89ic9YV2qwgqvf8Ozbn3+W4lGia3uW4UMp1hdb2XY7LSWjhOsvVV7l/FzrXLaf1dxjrhgAEIACBeBFAaOOVL2YLgVgQyJcbNWElDR/73F0iK0DZg/ORTpUtfMankq/nXt4sDhzqGCY9hTdTKndNaRZg4XNK1fcLBW8kuSl8TmslfQuTWGytqs19P/55TmiL3TRK9wZRhWtV3MsJjxp/pLs5F5tz9lmz2bxWIrRqvGKn3JZ6rmt27TaeQ6vutJx96Qqtal/uObRZUZ82pa3kHz4K67HUv4lijx4qtWutYpb7d6GT/1j8smGSEIAABCCQegIIbepLAAAQCJ9AqWfPhj+T8iNWe+Bfbb/yM6IFBDIEyu3qluJUibTDGgIQgAAEIBB1Aght1DPE/CCQMAJxe/5lsVOoy6VE91mm5eLwcwiUI6Bz2nl+DN1nKJcbl59DAAIQgAAEokIAoY1KJpgHBCAQWQLZU3Z1TmeupG1kF8zEYkVA527XakHZHV3dU9VjBYHJQgACEIBAagkgtKlNPQuHAAQgAAEIQAACEIAABCAQbwIIbbzzx+whAAEIQAACEIAABCAAAQiklgBCm9rUs3AIQAACEIAABCAAAQhAAALxJoDQGuZv35Fuwwh090WgtqZGTGltFAc6TvuaAuPGmEBdbY2YNL5RHDxK/cQ4jd6mTv14Q5+IgevrakTb2EZx6Bi/f1wkdMbEZhdhiQkBCDgigNAagkVoDQF67I7QeoSfgKERkgQk0eMSqB+P8BMwNELrNokIrVu+RIeAbQIIrSFRhNYQoMfuCK1H+AkYGiFJQBI9LoH68Qg/AUMjtG6TiNC65Ut0CNgmgNAaEkVoDQF67I7QeoSfgKERkgQk0eMSqB+P8BMwNELrNokIrVu+RIeAbQIIrSFRhNYQoMfuCK1H+AkYGiFJQBI9LoH68Qg/AUMjtG6TiNC65Ut0CNgmgNAaEkVoDQF67I7QeoSfgKERkgQk0eMSqB+P8BMwNELrNokIrVu+RIeAbQIIrSFRhNYQoMfuCK1H+AkYGiFJQBI9LoH68Qg/AUMjtG6TiNC65Ut0CNgmgNAaEkVoDQF67I7QeoSfgKERkgQk0eMSqB+P8BMwNELrNokIrVu+RIeAbQIIrSFRhNYQoMfuCK1H+AkYGiFJQBI9LoH68Qg/AUMjtG6TiNC65Ut0CNgmgNAaEkVoDQF67I7QeoSfgKERkgQk0eMSqB+P8BMwNELrNokIrVu+RIeAbQIIrSFRhNYQoMfuCK1H+AkYGiFJQBI9LoH68Qg/AUMjtG6TiNC65Ut0CNgmgNAaEkVoDQF67I7QeoSfgKERkgQk0eMSqB+P8BMwNELrNokIrVu+RIeAbQIIrSFRhNYQoMfuCK1H+AkYGiFJQBI9LoH68Qg/AUMjtG6TiNC65Ut0CNgmgNAaEkVoDQF67I7QeoSfgKERkgQk0eMSqB+P8BMwNELrNokIrVu+RIeAbQIIrSFRhNYQoMfuCK1H+AkYGiFJQBI9LoH68Qg/AUMjtGZJ7D5ySpxu7xbd7Sfkxylx6tBJ+fUp0X34lNjz6DbxmX2fNhuA3hCAQKgEEFpD3AitIUCP3RFaj/ATMDRCkoAkelwC9eMRfgKGRmgLkjgoxKn2jJSeOnQi+PzM4e5AVJWwKnFVAqu+3y0/BvtlhxFeXx78cgKqhCVAID0EEFrDXCO0hgA9dkdoPcJPwNAISQKS6HEJ1I9H+AkYOg1CO9Dbn5FRuWvafSgjpcFu6pC4Zj6Xoqp+JttU8mqa2CxaJo8WjZNagvfmKS2iWb43TZLfnzJGXHHbskrC0RYCEPBMAKE1TABCawjQY3eE1iP8BAyNkCQgiR6XQP14hJ+AoeMqtP1n+obk9OTZHdXszqraPZVyelrKqRLVMx2nK8pU82QppVOknEoxVZLapL6WH5nP1fczX6uf19bXjhiba2grQk9jCHgngNAapgChNQTosTtC6xF+AoZGSBKQRI9LoH48wk/A0FES2t6TPcFpvNlTerOn/Z5Wp/wGkpo57VdJam9njzZ9JZ1nd00zUhrspkopVbKa+VztrmZ2VmtqarRjl2uI0JYjxM8hEC0CCK1hPhBaQ4AeuyO0HuEnYGiEJAFJ9LgE6scj/AQMHYrQystMO3ccFce3HxMndh4PrkdV16dmb56UOQ34pFBCq/uqbaiTp/Rmd0uHhHRo11Sd9pt/GrA6LdjXC6H1RZ5xIVAdAYS2Om65XgitIUCP3RFaj/ATMDRCkoAkelwC9eMRfgKGtiW0PSfOSFntlNJ6VHTtPCY6pbx27sh8dMkPndeolobcrmnuFF8lrUPXpzYNiaraTW0Y36gT0nsbhNZ7CpgABCoigNBWhOvcxgitIUCP3RFaj/ATMDRCkoAkelwC9eMRfgKGrkRo1c6qktOspOYLq/rZSK+x540XY+dMEOPmjhejp4/NXaOavR5VnfrbMCYeklpJ2hHaSmjRFgL+CSC0hjlAaA0BeuyO0HqEn4ChEZIEJNHjEqgfj/ATMHSh0CphzeyyHg92WdVuq/pa7b6qXdhSr7rGejFuXkZax89rFWPnKnnNfIydM17UjqpLAK3Kl4DQVs6MHhDwSQChNaSP0BoC9NgdofUIPwFDIyQJSKLHJVA/HuHHdOhOKalHNx0WndukuEqBPb2nS7RvORJc5ypGeKxqY1uTFNTWjKTKj/HyY4zccR0vvzd6xtiY0nA7bYTWLV+iQ8A2AYTWkChCawjQY3eE1iP8BAyNkCQgiR6XQP14hB/xodUzVY9uahcdUl6D982HxbHNR0RPV+md1rGzx4sxckd1/Dy1szq0y6p2XOX3Gic0RXzF0ZseQhu9nDAjCIxEAKE1rA+E1hCgx+4IrUf4CRgaIUlAEj0ugfrxCD8iQ/ee6glEtWNIWtXuq/q8+2Dx61rVNaxtSyaJ8QvaxIT5rWLmksliQF7DOk4KrLp7MC97BBBaeyyJBIEwCCC0hpQRWkOAHrsjtB7hJ2BohCQBSfS4BOrHI3wPQ6tdVrXbevS1I7ndV3XqcLHXqHENUlwni9bFk4beJ4pW+XXzxJZc80puCuVhubEfEqGNfQpZQMoIILSGCUdoDQF67I7QeoSfgKERkgQk0eMSqB+P8B0OfWJ3pzgq5VXttKod1+Bz+THQ23/OqDV1NWelVe68ZiVW3Vm43AuhLUfI7OcIrRk/ekMgbAIIrSFxhNYQoMfuCK1H+AkYGiFJQBI9LoH68QjfwtBnOk5LUc1IayCvQxLbc7z4da7j5PWsrYszO63qtOHWxZn3al8IbbXk9PohtHqcaAWBqBBIjdCueWStuOe+B8WaB74xjP29P3xI3P29n56Tj42PfT/3vY9/7i7x5LPrg6+vuXy5+O43P537GUIblVKufB4IbeXM6HGWAEJCNZgQoH5M6IXbV91R+NCL+8Xhlw9Kcc3crOnkvq6ik2iZMjonrRMWqV1XKa/yY9ToBquTRmit4jwnGELrli/RIWCbQOKFdt2GLeL2T34t4DZn1tSiQvvcS5uHSWo+5K/cfb/Yu78993MltzOnTxZfuuPDQTOE1nZJhhcPoQ2PdRJHQkiSmNXw1kT9hMe6kpHUDuuhF/eJdimw7esOBO+nDp17kyYlqEpU83dbJ8hrXpXQhvFCaN1SRmjd8iU6BGwTSLzQZoGNtEM7ktDedPvnxde+8FFxybIFQSglyHd+/d6cGCO0tksyvHgIbXiskzgSQpLErIa3JuonPNYjjXT4lYOBtKod2HYpskflXYcLXy1Tx4jJl0wT/d194sKPrgwkVj3P1ecLoXVLH6F1y5foELBNAKEtOOU4fxd3/6EOceP7PyUe/slfi+lT2gL2hd9DaG2XZHjxENrwWCdxJIQkiVkNb03UT3issyOpGzZl5fWw3H1VEtt3unfYRGpG1YopK6eLyepDSqz6fNzc1vAnW2ZEhNZtShBat3yJDgHbBFIvtIVA1SnF6qWuk9UR2s5Tw/9naDtBxHNHoEbUiDHNdaJL/tWdFwQqJVBTUyNGN9WJE9RPpehoLwlQP27LoPdEjzgohfXA8/vEfvmh3k/sPfe611b5TNdpq2YM+3A7MzvR1R9kWxrl75/T/P/LDtHhUca1jHIRlpgQgIAjAghtAdjsNbfqplA6QsvBrKPKDCGsPB4QLU314iRCEgLt5A1RK+unuVHWDweUyUtuCCuifuxCbt9wKCOvz+0VB1+QpxDLU4kLX+o5rtOH5HXqqunB5/nPdrU7I7fRamuFaGqoF6f4/eME9JjmeidxCQoBCLghgNCOILTqR1xD66bwohCVU46jkIX4zoFTRuObuyjMnPqpPgsn93flbtiUufZ1v1A7svkvtQM+aeiUYXX6sDp1ePwFmUuHkvDilGO3WeSUY7d8iQ4B2wRSL7RKWPMf5aO+vuLSpbm7GHOXY9slF514CG10chHHmSAkccxadOZM/ejn4vgbHWLf07vF/id3iXa5+9q589g5ndVNmgqvfa0dVac/SMxaIrRuE4bQuuVLdAjYJpB4oc1/bE8W3h0fe5/46AdvDr7Mf8as+vrWd12fk9lse55Da7vsohEPoY1GHuI6C4QkrpmLxrypn9J5UMJ6QAns03vE/qd2ia5dx4c1bhjfKG/YlLlxU1Ziw3pcTjSqRwiE1m0mEFq3fIkOAdsEEi+0toEVxuMux64Ju4uP0Lpjm4bICEkasuxujdTPWbbqFOL9UmAPPLVb7JMfx7d2DAPfPFle+3r1eWKG/Jh6xazgsTlpfyG0bisAoXXLl+gQsE0AoTUkitAaAvTYHaH1CD8BQyMkCUiixyWkuX5OH+kOdl6VxKqPjlfbh2WicUKTmH7VbDFNfsy45jwxcdkUj5mK5tAIrdu8ILRu+RIdArYJILSGRBFaQ4AeuyO0HuEnYOg0C0kC0ud9CWmqn56uM1JgM/KqdmHbXz4wjP+olgYpr7PkLqwUWLkLq04l5jUyAYTWbYUgtG75Eh0CtgkgtIZEEVpDgB67I7Qe4Sdg6DQJSQLSFbklJLl++s/0SYHNXP+67+ld4tBz+4bxVzdrUjuw0wOJPU9Mk6cR86qMAEJbGa9KWyO0lRKjPQT8EkBoDfkjtIYAPXZHaD3CT8DQSRaSBKQn8ktIUv0MDgwGN3FS179mTyUuTMD0K+UpxHIHVknsjKvniJo6+SBnXlUTQGirRqfVEaHVwkQjCESGAEJrmAqE1hCgx+4IrUf4CRg6SUKSgHTEbglxr5+Da/cGu6/ZU4kHevqH5WDKqhlDu7DyZk7XzBZ1TfWxy1GUJ4zQus0OQuuWL9EhYJsAQmtIFKE1BOixO0LrEX4Cho67kCQgBbFeQtzqp33dAXkNrDyFWD4L9oB8nE7vyZ5h/CcunyKmyxs4zbjqvEBk1aN1eLkjgNC6Y6siI7Ru+RIdArYJILSGRBFaQ4AeuyO0HuEnYOi4CUkCkCdqCVGvn+6DJ8XOX70h9jyyPZDYM0dPD+Pfunhi5lE6UmDVqcTNk1oSlZ+oLwahdZshhNYtX6JDwDYBhNaQKEJrCNBjd4TWI/wEDB11IUkA4kQvIYr1c2T9IbH7V1vFrke2CXVKcf5r3PxWee2rvAZWSqzagR09Y2yi8xP1xSG0bjOE0LrlS3QI2CaA0BoSRWgNAXrsjtB6hJ+AoaMoJAnAmpolRKV+dj+8TWQ+tovOHUdz/NVNm8678Xwx+8b5Yub1c8W4ORNSk5s4LBShdZslhNYtX6JDwDYBhNaQKEJrCNBjd4TWI/wEDB0VIUkAylQuwVf9nDp0MtiF3S1PJd79q22ir7s3x79l+hgpsfOlxJ4vznvrfFHbUJfK3MRh0Qit2ywhtG75Eh0CtgkgtIZEEVpDgB67I7Qe4SdgaF9CkgB0LEESCLN+jmw4JHZJiVXXwx54Zs8w/pMumipmv1XuxN4wT0y9bCa5iQkBhNZtohBat3yJDgHbBBBaQ6IIrSFAj90RWo/wEzB0mEKSAFwsoYCA6/rZJU8j3iOvhd0ld2G7dhzLjV5TWxOcRpz9GHveeHITQwIIrdukIbRu+RIdArYJILSGRBFaQ4AeuyO0HuEnYGjXQpIARCxhBAK266e7/VTuhk7BqcSn8k4lniZPJZanEM+6YX7wXtfIM2HjXpwIrdsMIrRu+RIdArYJILSGRBFaQ4AeuyO0HuEnYGjbQpIAJCyhAgI26kedSqxu6LRH3tBp/zO7h40++aJpYpbaiVWnEl/OqcQVpCYWTRFat2lCaN3yJToEbBNAaA2JIrSGAD12R2g9wk/A0DaEJAEYWEKVBKqtH3Uzp+ypxJ3bz96VWNSI4DTi7J2Jx87hVOIqUxOLbgit2zQhtG75Eh0CtgkgtIZEEVpDgB67I7Qe4Sdg6GqFJAFLZwkWCOjWT/fhzKnE2bsS957syY3ePHW0PIX4fHkq8TwxR77XNXEqsYXUxCIEQus2TQitW75Eh4BtAgitIVGE1hCgx+4IrUf4CRhaV0gSsFSW4IDASPVzpuO02PZvr4kd8mPPozuGjT5pxdTcqcTTVs9yMDNCxoEAQus2SwitW75Eh4BtAgitIVGE1hCgx+4IrUf4CRgaoU1AEj0uobB+errOSIF9XWz/19fFrl9uHTaz3F2J5Q2dxs2Z4HHWDB0VAgit20wgtG75Eh0CtgkgtIZEEVpDgB67I7Qe4SdgaIQ2AUn0uARVPxMa68TaH7ySEVn5kf+aLeV13i0LxfzfWSxGjWvwOFOGjiIBhNZtVhBat3yJDgHbBBBaQ6IIrSFAj90RWo/wEzA0QpuAJHpYwkD/gNj5b1ukwL4WSOxA70BuFrPeMi+Q2Dm3LBDNE1s8zI4h40IAoXWbKYTWLV+iQ8A2AYTWkChCawjQY3eE1iP8BAyN0CYgiSEuYceaLcFO7A4ps72nzt7YafrV54m5UmDn/84i0SKfF8sLAjoEEFodStW3QWirZ0dPCPgggNAaUkdoDQF67I7QeoSfgKER2gQk0fES1DNi1TWxaje25/iZ3GjqZk7zfmehuPS2ZeLM+CbHsyB8EgkgtG6zitC65Ut0CNgmgNAaEkVoDQF67I7QeoSfgKER2gQk0cES9jy2PdiFVbux6pE72dfkS6bJnVh1TewiMW5+q6B+HMBPUUiE1m2yEVq3fIkOAdsEEFpDogitIUCP3RFaj/ATMDRCkoAkWlrC/qd3y53YzDWxp/afyEWduGzK0DWxC0Xb4knDRqN+LMFPaRiE1m3iEVq3fIkOAdsEEFpDogitIUCP3RFaj/ATMDRCkoAkGizh4LN7A4Hd+dAW0bnzWC5S66JJYq48nVjd3EkJbakX9WMAn64CoXVbBAitW75Eh4BtAgitIVGE1hCgx+4IrUf4CRgaIUlAEitcQvtLB8SO4JrY18XxrR253uPntwU3dlISO3nldK2o1I8WJhqVIIDQui0NhNYtX6JDwDYBhNaQKEJrCNBjd4TWI/wEDI2QJCCJGks4svHQ0DWxr4mOTYdzPcbMHpe5JvaWRWLq6pkakYY3oX4qRkaHPAIIrdtyQGjd8iU6BGwTQGgNiSK0hgA9dkdoPcJPwNAISQKSWGIJx14/krsm9sj6Q7lW6rE6ahdW7cbOuGaOEQDqxwhf6jsjtG5LAKF1y5foELBNAKE1JIrQGgL02B2h9Qg/AUMjJAlIYt4Sejt7xJafbgw+Dj2/L/eTponNUmIXBRI76y3zrC2a+rGGMpWBEFq3aUdo3fIlOgRsE0BoDYkitIYAPXZHaD3CT8DQCEkCkiiXsPexHVJiXxVvSJEdHBgMFtUwrjE4nVjtxp73tvOdLJT6cYI1NUERWrepRmjd8iU6BGwTQGgNiSK0hgA9dkdoPcJPwNAISXyT2LXreCCwb/zzJnFsy5HcQmbfOF8seP9Scf57lzhfHPXjHHGiB0Bo3aYXoXXLl+gQsE0AoTUkitAaAvTYHaH1CD8BQyMk8Uvitn/ZHJxSvOsXW3OTHzevVSx434WByI6dOyG0RVE/oaFO5EAIrdu0IrRu+RIdArYJILSGRBFaQ4AeuyO0HuEnYGiEJB5JPLLhkNjyE7kbK0W2u/1UbtIX/O6F4oL3LRWzb7R3XWwlRKifSmjRtpAAQuu2JhBat3yJDgHbBBBaQ6IIrSFAj90RWo/wEzA0QhLdJPae6pEC+6rY+tNNYv8zu3MTnXLJdDH/95bIHdmloqmt2esCqB+v+GM/OELrNoUIrVu+RIeAbQIIrSFRhNYQoMfuCK1H+AkYGiGJXhL3P7kruMGTOq14oKc/mOCocQ2BwKqPKatmRGbS1E9kUhHLiSC0btOG0LrlS3QI2CaA0BoSRWgNAXrsjtB6hJ+AoRGSaCTx1P4TgcCqU4o7Nh3OTWrmdXODa2PVacU1tTXRmGzeLKifyKUkVhNCaN2mC6F1y5foELBNAKE1JIrQGgL02B2h9Qg/AUMjJH6TuOOhLYHEbv+313MTGXveeHH+78kbPEmRnbBgot8Jlhmd+ol0eiI/OYTWbYoQWrd8iQ4B2wQQWkOiCK0hQI/dEVqP8BMwNEISfhLVDmzmcTuvipP7unITmP/uxeICKbJz3nFB+JOqckTqp0pwdAsIILRuCwGhdcuX6BCwTQChNSSK0BoC9NgdofUIPwFDIyThJFFdC6tOKVbXxqprZLOvicumBI/aUacUN09uCWcyFkehfizCTGEohNZt0hFat3yJDgHbBBBaQ6IIrSFAj90RWo/wEzA0QuI2iQee2TN0beyrou9Ub2ZXqnlU5rpYKbLTrpjldgKOo1M/jgEnPDxC6zbBCK1bvkSHgG0CCK0hUYTWEKDH7gitR/gJGBohsZ/EM0dPi9d/tD545M7h9QdzA8y4Zo68NnZxsCNb11Bvf2APEakfD9ATNCRC6zaZCK1bvkSHgG0CCK0hUYTWEKDH7gitR/gJGBohsZfE9pcOiNd+8IrY/IOXxeDAYBC4ZfqY4FE76pTitiWT7A0WkUjUT0QSEdNpILRuE4fQuuVLdAjYJoDQGhJFaA0BeuyO0HqEn4ChERLzJG77l81i8wOviL2P7cgFUzd2WvCBZWLeLQvNB4hwBOonwsmJwdQQWrdJQmjd8iU6BGwTQGgNiSK0hgA9dkdoPcJPwNAISXVJPN3RLV6TErvp/pdF145jQZBRLQ1i0YeWi8Ufuli0Lo7243aqW/W5vagfWyTTGQehdZt3hNYtX6JDwDYBhNaQKEJrCNBjd4TWI/wEDI2QVJbE4LRiKbFqRzZ7WrE6lXjRhy6SIrsiuOFTml7UT5qybX+tCK19pvkREVq3fIkOAdsEEFpDogitIUCP3RFaj/ATMDRCopdEdVrxaw+sF3se257roE4rXiQlds7b4/PcWL3V6reifvRZ0fJcAgit26pAaN3yJToEbBNpbMJuAAAgAElEQVRAaA2JIrSGAD12R2g9wk/A0AhJ6SSe6TgtNv3gJXmjp/Wic8fRoGF9yyix5MMXiUW3X5Sa04pHKnPqJwG/BDwuAaF1Cx+hdcuX6BCwTQChNSSK0BoC9NgdofUIPwFDIyTnJvHQuv3idXm34k3ybsUic7Ni0XbhZCmxKwKZrWtKxiN3bJQv9WODYnpjILRuc4/QuuVLdAjYJoDQGhJFaA0BeuyO0HqEn4ChEZKzSQzuVixFdu/jO3LfVKcVL5YSe97bzk9Atu0vgfqxzzRNERFat9lGaN3yJToEbBNAaA2JIrSGAD12R2g9wk/A0GkXktNHuuUNnl6WN3p6RXTuHLpb8eiG4AZPC+WObNvi5D071mbZpr1+bLJMYyyE1m3WEVq3fIkOAdsEEFpDogitIUCP3RFaj/ATMHRahaR93QGx+X55fay80dPgYOa84tYLJ4kl8pE76tE79U3pultxtaWc1vqplhf9hhNAaN1WBELrli/RIWCbAEJrSBShNQTosTtC6xF+AoZOm5Bs+9/ytGL5yJ1hpxW/U55WLB+7w2nFlRd02uqnckL0GIkAQuu2PhBat3yJDgHbBBBaQ6IIrSFAj90RWo/wEzB0GoRkpNOK1WN3WhdxWnG1pZyG+qmWDf3KE0BoyzMyaYHQmtCjLwTCJ4DQGjJHaA0BeuyO0HqEn4Chkywk7S/ulzd5ejm40VP21bZ0slgsH7mz+MMrRF0jdys2LeEk148pG/qXJ4DQlmdk0gKhNaFHXwiETwChNWSO0BoC9NgdofUIPwFDJ1FI1GnF6pE7+57YmcvQHHla8ZIPXyxmv3V+ArIWnSUksX6iQzf5M0Fo3eYYoXXLl+gQsE0AoTUkitAaAvTYHaH1CD8BQydFSE53yLsV3y/vVix3Y/PvVrxI7sQulncr5rRiN8WalPpxQ4eo5QggtOUImf0coTXjR28IhE0AoTUkjtAaAvTYHaH1CD8BQ8ddSNT1seu//Zx45e+eEwM9/UFG1GnFi6TELpHPj+W0YrdFGvf6cUuH6OUIILTlCJn9HKE140dvCIRNAKE1JI7QGgL02B2h9Qg/AUPHVUi620+J9VJi13/neTHQmxFZTisOvyDjWj/hk2LEYgQQWrd1gdC65Ut0CNgmgNAaEkVoDQF67I7QeoSfgKHjJiSnDpyQO7LPiw1KZPsHggzMvXmBWP6Jy8S0K2YlICPxWkLc6idedJM/W4TWbY4RWrd8iQ4B2wQQWkOiCK0hQI/dEVqP8BMwdFyE5OS+rmA3Vu3KZl/z/o9FYvkfrRJTL5+ZgEzEcwlxqZ940k3+rBFatzlGaN3yJToEbBNAaA2JIrSGAD12R2g9wk/A0FEXkhN7OoNrZDd894Uc7fnvXhyI7JRVMxKQgXgvIer1E2+6yZ89Qus2xwitW75Eh4BtAgitIVGE1hCgx+4IrUf4CRg6qkLStet4ILIb//7FHOXz37NELP/Pl4nJl0xLAPlkLCGq9ZMMuslfBULrNscIrVu+RIeAbQIIrSFRhNYQoMfuCK1H+AkYOmpC0rnjaHCN7Kv/sC5H94LfvTAQ2UkXTU0A8WQtIWr1kyy6yV8NQus2xwitW75Eh4BtAgitIVGE1hCgx+4IrUf4CRg6KkLSue2oeEXuyG6676Uc1QXvXxrc7Gni8ikJIJ3MJUSlfpJJN/mrQmjd5hihdcuX6BCwTQChNSSK0BoC9NgdofUIPwFD+xaS4290BDd62nT/y2dF9gPLpMiuEhOXIrJRLzHf9RN1PsxvZAIIrdsKQWjd8iU6BGwTQGgNiSK0hgA9dkdoPcJPwNC+hOTY60eCa2Q3/+CVHMWFH1we7Mi2LZmUALLpWIKv+kkH3eSvEqF1m2OE1i1fokPANgGE1pAoQmsI0GN3hNYj/AQMHbaQdGw6HDxD9rV/PCuyiz+0QiyTdy1uXYTIxq2kwq6fuPFhvuzQ+qwBhNYnfcaGQOUEENrKmQ3rgdAaAvTYHaH1CD8BQ4clJB0b24PnyL7+o/U5aks+fJFYJk8tnrBgYgJIpnMJYdVPOukmf9Xs0LrNMULrli/RIWCbAEJrSBShNQTosTtC6xF+AoZ2LSRHNhwKrpHd8pONZ0X2IxeLFfKuxePmtyaAYLqX4Lp+0k03+atHaN3mGKF1y5foELBNAKE1JIrQGgL02B2h9Qg/AUO7EpL2lw+IDfLxO2/886s5Shf+x0sCkR07d0ICyLEERcBV/UA3HQQQWrd5Rmjd8iU6BGwTQGgNiSK0hgA9dkdoPcJPwNC2haR93YHgZk9bH9yUo7P0D1eK5X8kRXbO+AQQYwn5BGzXD3TTRQChdZtvhNYtX6JDwDYBhNaQKEJrCNBjd4TWI/wEDG1LSNSO7Cv//Vmx7V8256gs+/ilwc2exs5GZBNQKkWXYKt+ksqHdY1MAKF1WyEIrVu+RIeAbQIIrSFRhNYQoMfuCK1H+AkY2lRIOnccFS//7dphj99RN3paIR+/M3rG2AQQYgkjETCtH+immwBC6zb/CK1bvkSHgG0CCK0hUYTWEKDH7gitR/gJGLpaITnd0R2I7Cv/49mzO7Ifu1Rc9H+tFi3TxiSADEvQIVBt/ejEpk3yCSC0bnOM0LrlS3QI2CaA0BoSRWgNAXrsjtB6hJ+AoSsVkoH+AfGKFNmX5EfvyZ6AwIJbl4mL/2Q1j99JQD1UuoRK66fS+LRPNgGE1m1+EVq3fIkOAdsEEFpDogitIUCP3RFaj/ATMHQlQvLqP6yTIvuMOLmvK1j5nHdcIEX2CjFl1YwEkGAJ1RCopH6qiU+fZBNAaN3mF6F1y5foELBNAKE1JIrQGgL02B2h9Qg/AUPrCIl69M7LUmQ7Nh0OVjz9ytniIimys2+YlwACLMGEgE79mMSnb7IJILRu84vQuuVLdAjYJpAaoV3zyFpxz30PijUPfOMchh//3F3iyWfXB9+/5vLl4rvf/PSwNiP9HKG1XZLhxUNow2OdxJFGEpLdv9oW7MgeeGZPsPS2pZODHdnz37MkiShYUxUEENoqoNElRwChdVsMCK1bvkSHgG0CiRfadRu2iNs/+bWA25xZU88R2q/cfb/Yu789J7FKXmdOnyy+dMeHgz7lfo7Q2i7J8OIhtOGxTuJIxYTk4Nq9gcju+uXWYMljZo0LRHbJRy5OIgLWZEAAoTWAR1eB0LotAoTWLV+iQ8A2gcQLbRZYqR3am27/vPjaFz4qLlm2IGiqBPjOr9+bE99yP0dobZdkePEQ2vBYJ3GkfCE5uvlIcGrxlp9uDJbaMK5RXPTHq8XFf3xFEpfOmiwQQGgtQExxCITWbfIRWrd8iQ4B2wRSLbT7D3WIG9//KfHwT/5aTJ/SFrDN/576eqSfqz4Ire2SDC8eQhse6ySOpISk8USPePgrj4uN976YW6J6/I4S2YbxjUlcNmuyRAChtQQypWEQWreJR2jd8iU6BGwTsCq09/7wIXH3935adI53fOx94qMfvNn2/LXjFduhtSG0p3v6tedAw+gRaGyoE2fIYfQSE/EZ9Z7sFWv/6mnx9DeeFIP9g8FsL/7DleKKz14lxs+ZEPHZM70oEKipkTv59fL3Ty//D4lCPuI2B+rHbcaa5LEBLwhAID4ErAitus70xz97NFj1xse+X3T1S6/7SPD9W991fe761DAxuRLajq7M8yR5xY+A2qEdP7peHD3RG7/JM2NvBNb992fF83c9LU53dAdzWPC7S8Sld1wpJq+Y6m1ODBw/Aur3zzj5++cYv3/il7wIzFjt8I9prhfH5R/XeNkn0Da2wX5QIkIAAs4IGAutEtViN1sqNWN1TerOPQdLiq+rlXINrSuy8Y3LKcfxzZ2Pmb/2wCti3d88I7p2HAuGn339PHHdF98kmlZM8zEdxow5AU45jnkCPU+fU47dJoBTjt3yJToEbBMwFlq1O5u9I7Du5Krpoxu7VLtSQlvuLsblfs41tKaZ8dcfofXHPk4jb//X18VLf/Nbcfjlg8G0J186PbhG9vxbFopJ8jrZg0dPx2k5zDUiBBDaiCQiptNAaN0mDqF1y5foELBNwFhobU/Idrz8x/ZkYxdez8tzaG1Tj0c8hDYeefI1y72P75CP4Fkr9j2xM5jC+AvapMiuFgtvWx58jZD4ykwyxqV+kpFHX6tAaN2SR2jd8iU6BGwTsCq06vTjB+65M/cInOxkS+2O2l6Mj3js0PqgbmdMhNYOx6RFObLhkFgnr5FVO7Pq1Ty5RT6C5wqx/I9WDVsqQpK0zIe7HuonXN5JGw2hdZtRhNYtX6JDwDaBUIQ2u0ta6oZRthcVZjyENkzadsdCaO3yjHs0dZOndfLOxRu+90KwlFp5l8uL/+SKYFe2rrH+nOUhJHHPuN/5Uz9++cd9dITWbQYRWrd8iQ4B2wRCEVr1OJ8H1zwh1jzwDdvz9x4PofWegqongNBWjS5xHdf/3XPixW89LXq6zgRrW/aHl4qLP3VlsDtb6oWQJK4MQl0Q9RMq7sQNhtC6TSlC65Yv0SFgm4Cx0Ba7RrXYJIudimx7MT7iIbQ+qNsZE6G1wzHOUbb/7DXx4l89JTo2HQ6WMeedF4iVn71aTNJ4BA9CEufM+5879eM/B3GeAULrNnsIrVu+RIeAbQLGQps/oVLX0NqedJTiIbRRykZlc0FoK+OVpNaHnt8nRfZpsfvhbcGyJi6fEojs3JsWaC8TIdFGRcMiBKgfysKEAEJrQq98X4S2PCNaQCBKBKwKbZQWFtZcENqwSNsfB6G1zzTqEU8dOCFe+NZTYvP/fDmYatPEZnHJp68Syz52acVTR0gqRkaHPALUD+VgQgChNaFXvi9CW54RLSAQJQIIrWE2EFpDgB67I7Qe4XsYet3dvw2ukx3o6Q9GX/FfLheXfOZK0TC2sarZICRVYaPTEAHqh1IwIYDQmtAr3xehLc+IFhCIEgFjof3K3feLL93x4YrWVE2figYIsTFCGyJsy0MhtJaBRjTclp9uDES2c9vRYIbz371YrPzM1aJ18USjGSMkRvhS35n6SX0JGAFAaI3wle2M0JZFRAMIRIqAsdCq62bnzJqqfQfjm27/vNi556BIyiN8ENpI1XNFk0FoK8IVu8b7n94tH8PzW7H3iR3B3KesmhGI7Owb51lZC0JiBWNqg1A/qU29lYUjtFYwlgyC0LrlS3QI2CZgLLRqQmrH9cc/ezSYWylRVeKrXre+6/qKd3RtL9pmPITWJs1wYyG04fIOa7SunceDGz69/qP1wZCjp48NTi1e8gcXW50CQmIVZ+qCUT+pS7nVBSO0VnGeEwyhdcuX6BCwTcCK0GYnteaRteKzX/120Tl+688+IW66YbXt+XuPh9B6T0HVE0Boq0YXyY6D/YOByL4ob/qUfalnyV76matEbUOd9TkjJNaRpiog9ZOqdFtfLEJrHemwgAitW75Eh4BtAlaF1vbk4hAPoY1DlorPEaGNb+4KZ775B6+IdXc9LU7s6Qx+tOD9S+VjeK4S4+a1OlskQuIMbSoCUz+pSLOzRSK0ztAGgRFat3yJDgHbBBBaQ6IIrSFAj90RWo/wLQ2959fbg13Zg2v3BhGnX32evE72SjHjTXMsjVA6DELiHHGiB6B+Ep1e54tDaN0iRmjd8iU6BGwTsCK02VONi51WPNLPbC/GRzyE1gd1O2MitHY4+ohybMuR4M7FWx/cFAw/bs6EYEd2wQeWhTYdhCQ01IkciPpJZFpDWxRC6xY1QuuWL9EhYJuAFaH9+OfuEjOnTy55syd106i9+9vFd7/5advz9x4PofWegqongNBWjc5bx95TPcGdi1/+f9YGc6itr5U7slfJmz5dFfqcEJLQkSdqQOonUekMfTEIrVvkCK1bvkSHgG0CVoRW3cH4gXvuFJcsW1B0fus2bBG3f/JriXlUT/4iEVrbJRlePIQ2PNY2RlJ3LX7ua78Rpw6cCMIt/tCK4DE8o2eOtRG+4hgIScXI6JBHgPqhHEwIILQm9Mr3RWjLM6IFBKJEAKE1zAZCawjQY3eE1iP8CoY+vP6geF6K7O6HtwW9Zl43Nzi9eNrqWRVEsd8UIbHPNE0RqZ80Zdv+WhFa+0zzIyK0bvkSHQK2CVgR2ptu/7z42hc+OuIO7Z1fv1eseeAbtufvPR5C6z0FVU8Aoa0aXTgdB4XckX1CvPQ3zwTjNU9qEavuvDbYmY3CCyGJQhbiOwfqJ765i8LMEVq3WUBo3fIlOgRsE7AitPf+8CHx3EubS14jW+4aW9uLCjMeQhsmbbtjIbR2edqMtvV/bxLP/+WTonP70SDshf/pEnHZn14rGsY32hzGKBZCYoQv9Z2pn9SXgBEAhNYIX9nOCG1ZRDSAQKQIWBFatSK1S6tehbuw6vs79xxM5PWzar0IbaTquaLJILQV4Qql8fE3OoJd2e3/+now3rQrZolVf/omMf2q2aGMX8kgCEkltGhbSID6oSZMCCC0JvTK90VoyzOiBQSiRMCa0KpFqZ3au7/302Hru/Vd15e8+3GUQFQ7F4S2WnL++yG0/nOQP4N1dz0tnv9vTwbfGjW6QZ5e/Cax7GOXRmuSebNBSCKbmlhMjPqJRZoiO0mE1m1qEFq3fIkOAdsErAqt7cnFIR5CG4csFZ8jQhuN3O36xVbx3F8+ITo2tgcTWvjB5eJyea1s89TR0ZhgiVkgJJFOT+QnR/1EPkWRniBC6zY9CK1bvkSHgG0CCK0hUYTWEKDH7gitR/hy6BN7OuV1sr8RW36yMZjIpBVTxaXy9OLzbpzvd2KaoyMkmqBoVpQA9UNhmBBAaE3ole+L0JZnRAsIRIkAQmuYDYTWEKDH7gitP/jr/+654Jmy/Wf6RG1drRTZa8TFf3yFvwlVMTJCUgU0uuQIUD8UgwkBhNaEXvm+CG15RrSAQJQIILSG2UBoDQF67I7Qhg9/3xM7xbPypk/tL+wPBj//PUvktbLXiHFzW8OfjOGICIkhwJR3p35SXgCGy0doDQGW6Y7QuuVLdAjYJoDQGhJFaA0BeuyO0IYH//SRbvG8FNlN978cDDphwcTgpk/zblkY3iQsj4SQWAaasnDUT8oSbnm5CK1loAXhEFq3fIkOAdsEEFpDogitIUCP3RHacOBvuu8luSv7uOg5diYYcOVnrxaXfv7qcAZ3OApC4hBuCkJTPylIssMlIrQO4crQCK1bvkSHgG0CCK0hUYTWEKDH7gitW/gHn90rb/r0pNj35M5goDnvuEDuyl4r2pZMcjtwSNERkpBAJ3QY6iehiQ1pWQitW9AIrVu+RIeAbQIIrSFRhNYQoMfuCK0b+L2nesQLUmTXf+f5YIAxs8eJVfLuxQvet9TNgJ6iIiSewCdkWOonIYn0tAyE1i14hNYtX6JDwDYBhNaQKEJrCNBjd4TWPvzXf7Q+2JU9ub8rCL7iv1wuLpPXytY21NkfzHNEhMRzAmI+PPUT8wR6nj5C6zYBCK1bvkSHgG0CCK0hUYTWEKDH7gitPfhHNhwSz/3FE2L3w9uCoLOumyd3Za8Rk1dOtzdIxCIhJBFLSMymQ/3ELGERmy5C6zYhCK1bvkSHgG0CCK0hUYTWEKDH7gitOfzBwUF59+LfiJf+5pkgWNPEZnHZF98sFn9ohXnwiEdASCKeoIhPj/qJeIIiPj2E1m2CEFq3fIkOAdsErArt0us+Ih64505xybIFw+a55pG14p77HhRrHviG7fl7j4fQek9B1RNAaKtGF3Tc9i+bxXNSZju3Hw2+XvqfVgbXyjaMbzQLHJPeCElMEhXRaVI/EU1MTKaF0LpNFELrli/RIWCbQChCu27DFnH7J78mNj72fdvz9x4PofWegqongNBWh+7YG0eC62S3/3+vBQGmrp4pr5O9Vky/anZ1AWPaCyGJaeIiMm3qJyKJiOk0EFq3iUNo3fIlOgRsEwhFaO/94UPiwTVPsENrO3vEMyKA0FaOb91dT4vn/9uTQcdRoxuCHdllH7+08kAJ6IGQJCCJHpdA/XiEn4ChEVq3SURo3fIlOgRsEzAW2uzua7mJFTsVuVyfOPycHdo4ZKn4HBFa/dzt/MUbclf2N6JjY3vQaeEHl4vLpMy2TBujHyRhLRGShCU05OVQPyEDT9hwCK3bhCK0bvkSHQK2CRgLbf6ESl1Da3vSUYqH0EYpG5XNBaEtz+vk3i55newTYstPNgaNJ62YKndlrxWzb5xXvnPCWyAkCU+w4+VRP44BJzw8Qus2wQitW75Eh4BtAlaF1vbk4hAPoY1DlorPEaEdOXfr/+654KZP/Wf6RE1tjVglnyd78R9fEd+EW545QmIZaMrCUT8pS7jl5SK0loEWhENo3fIlOgRsE0BoDYkitIYAPXZHaIvD3/fETvGs3JVtf2F/0GD+exaLy+VNn8bOneAxW9EbGiGJXk7iNCPqJ07Zit5cEVq3OUFo3fIlOgRsEzAWWnWase6LuxzrkqJdGAQQ2uGUTx/pFs/95RNi8/98OfjBhAUTg13ZebcsDCMdsRsDIYldyiI1YeonUumI3WQQWrcpQ2jd8iU6BGwTMBba/Al9/HN3iXe9/Rpx0w2rh82z1PdtL8ZHPHZofVC3MyZCe5bjpvteCmT2zNHTwTcv+cxVYtUXrrEDOqFREJKEJjakZVE/IYFO6DAIrdvEIrRu+RIdArYJWBXaUjeFWvPIWnHPfQ/y2B7b2SOeEQGEVojDrxwUz/7542Lv4zsClnPecUHwKJ62CycbsU1DZ4QkDVl2t0bqxx3bNERGaN1mGaF1y5foELBNIBShzT7ah1OObaePeCYE0i60L37zKfGC/FCvMTPHiVVffJNY8L6lJkhT1RchSVW6rS+W+rGONFUBEVq36UZo3fIlOgRsE7AqtKVOLVZCe+fX72WH1nb2iGdEIK1Cq276tPb/fizYnVWvC//jJeLyL79ZjBrdYMQzbZ0RkrRl3O56qR+7PNMWDaF1m3GE1i1fokPANgGrQpvdiX3gnjvFJcsW5OaqTkW+42PvEx/94M225+89HtfQek9B1RNIm9Cqx++o04s3fO+FgFnb0sni8i9dJ2bfwDNlqykihKQaavTJEqB+qAUTAgitCb3yfRHa8oxoAYEoEbAqtGph+w91iBvf/6lha/zWn33inBtFRQmCyVwQWhN6fvumSWi3/+w18exXHhedO48F0C/5tLzp03/lpk8mFYiQmNCjL/VDDZgQQGhN6JXvi9CWZ0QLCESJgHWhjdLiwpgLQhsGZTdjpEFouw+eDHZlX//JhgDi9KvPE6vl6cWTV053AzVFURGSFCXbwVKpHwdQUxQSoXWbbITWLV+iQ8A2AWOhVacTJ3kHthxwhLYcoej+POlCq54n+8yf/1r0dvaI2vpaeXrxm8Xy/3xZdBMSs5khJDFLWMSmS/1ELCExmw5C6zZhCK1bvkSHgG0CxkKrJnTT7Z8XO/dkbjCTxDsZjwQdobVdkuHFS6rQHt18RKyVIrv7V9sCmPNuWRjc9GncvNbw4KZgJIQkBUl2uETqxyHcFIRGaN0mGaF1y5foELBNwIrQZieVvSmU+vrWd10vvnTHh23PN3LxENrIpUR7QkkU2pf+9hnx3FefCBg0T2oJRHbhbcu1mdBQnwBCos+KlucSoH6oChMCCK0JvfJ9EdryjGgBgSgRsCq0+Qv7yt33ix//7NHgW4V3PY4SANO5ILSmBP31T5LQ7n9md3Ct7KHn9gVAF92+Ql4re51obG3yBzjhIyMkCU+w4+VRP44BJzw8Qus2wQitW75Eh4BtAs6ENn+iST4lGaG1XZLhxUuC0A4ODgYi+8o9zwbgJiyYGOzKznnHBeGBTOlICElKE29p2dSPJZApDYPQuk08QuuWL9EhYJtAKEKbnXT2lOSHf/LXYvqUNttr8RIPofWC3cqgcRfaXb/YKp758q/F8Tc6Ah4rPnl5ILM1NTVW+BBkZAIICRViQoD6MaFHX4TWbQ0gtG75Eh0CtgmEKrS2Jx+FeAhtFLJQ3RziKrQDPf3imS/9Wmy898Vg4VMumxGcXjztilnVgaBXVQQQkqqw0WmIAPVDKZgQQGhN6JXvi9CWZ0QLCESJgLHQqsf26L6SeAdkhFY3+9FrF0eh3fXLreK3X3xUdG47GgC97IvXiov/5IrowU3BjBCSFCTZ4RKpH4dwUxAaoXWbZITWLV+iQ8A2AWOhzZ/Qxz93l3jX268RN92wetg8S33f9mJ8xENofVC3M2achHagt1+s/dJjYsPfvxAsfvqVs8UVf3G9mHTRVDswiFIxAYSkYmR0yCNA/VAOJgQQWhN65fsitOUZ0QICUSJgVWjVbm2xOxqveWStuOe+B8WaB74RpbVbmQtCawWjlyBxEVr1PFm1K3t8a+Za2VV3vklccseVXpgx6FkCCAnVYEKA+jGhR1+E1m0NILRu+RIdArYJhCK02ZtBccqx7fQRz4RA1IV2oG9APPNnj4qNf5+5VlZdI6t2ZSdfPM1k2fS1RAAhsQQypWGon5Qm3tKyEVpLIEuEQWjd8iU6BGwTsCq0pU4tVkJ759fvZYfWdvaIZ0QgykK7++GhXdmhOxhf9qdvEhd/il1Zo4Rb7oyQWAaasnDUT8oSbnm5CK1loAXhEFq3fIkOAdsErAptdie28LRjdSryHR97n/joB2+2PX/v8Tjl2HsKqp5AFIV2oH9ArP2zX4sN3xu6VvaK2eLyr14nplwyvep10tENAYTEDde0RKV+0pJpN+tEaN1wzUZFaN3yJToEbBOwKrRqcvsPdYgb3/+pYfP81p994pwbRdleiK94CK0v8ubjRk1odz+8PTjF+NiWI8HiVv3Xa8Qln77KfKFEcEIAIXGCNTVBqZ/UpNrJQhFaJ1hzQRFat3yJDgHbBKwLre0JRj0eQhv1DJWeX1SEdnBgMBDZDd/N7MoG18p+5S1i8kp2ZaNcXQhJlLMT/blRP9HPUZRniNC6zQ5C65Yv0Z2OByMAACAASURBVCFgmwBCa0gUoTUE6LF7FIR2l7xW9ln5OJ6jrx8OSKz6gtyV/Qy7sh7LQntohEQbFQ2LEKB+KAsTAgitCb3yfRHa8oxoAYEoEUBoDbOB0BoC9Njdq9AOimBXdv13ng8ITF09M9iVnXLpDI9EGLoSAghJJbRoW0iA+qEmTAggtCb0yvdFaMszogUEokQAoTXMBkJrCNBjd19Cu/uR7WLtl34tjr6W2ZW99PNXi5WfvdojCYauhgBCUg01+mQJUD/UggkBhNaEXvm+CG15RrSAQJQIILSG2UBoDQF67O5DaH+rrpX99tCu7OUzxZVflc+VvZRrZT2WQdVDIyRVo6OjJED9UAYmBBBaE3rl+yK05RnRAgJRIoDQGmYDoTUE6LF7mEK7+9Ht8lrZX4uOzUO7sp+Tu7Lyg1d8CSAk8c1dFGZO/UQhC/GdA0LrNncIrVu+RIeAbQIIrSFRhNYQoMfuYQntM1Jk1//dc8FKp1w2I9iVnbKKa2U9pt7K0AjJ/9/enQdpWV15HD8goOCCtmwNCiqiIosgW7OpQdAJmYwVZ6IzDrHMlKNZnKmgERcSEiE4igtl4mhpUZXEMaZGU9lqJCObiM1uFAQUxAiK0MrSuCACEZj3ebR7mqa73+4+9zzPvc/z7ar5Q3zvufd+zpkOP9/NCWNuizA/uW29k4sTaJ0w1luEQGvrS3UEXAsQaJWiBFolYIrLrQPtu89//l7Zytc/f1Y2ekZ2EM/Kpthxt1sTSNx65q0a85O3jru9L4HWrWftagRaW1+qI+BagECrFCXQKgFTXG4ZaI94VrbwbGz8rGzh2Vl+siNAIMlOL9O4CfOThnp29iTQ2vaSQGvrS3UEXAsQaJWiBFolYIrLLQLt1oWb46/jqXpWduCtI2TwbaNSvCVbWwkQSKxk81GX+clHn61uSaC1kv28LoHW1pfqCLgWINAqRQm0SsAUl7sOtMt/tFBe/c8V8Y2iTy6OnpXtXPgkY36yKUAgyWZfk7oV85OUdDb3IdDa9pVAa+tLdQRcCxBolaIEWiVgistdBdqtL2yW6Ot4dr/2xXtlC98pG323LD/ZFiCQZLu/1rdjfqyFs12fQGvbXwKtrS/VEXAtQKBVihJolYApLncRaJf/uPCs7MNfPCt74RfPyg7jWdkU25rY1gSSxKgzuRHzk8m2JnYpAq0tNYHW1pfqCLgWINAqRQm0SsAUl2sC7bZFb8fPylau2xHfYOD3C++VvZ33yqbYzsS3JpAkTp6pDZmfTLUz8csQaG3JCbS2vlRHwLUAgVYpSqBVAqa4vLmB9ohnZQd2kbLCe2W7lJ2W4k3YOg0BAkka6tnZk/nJTi/TuAmB1ladQGvrS3UEXAsQaJWiBFolYIrLmxpot71YeFb2BzWelb2l8KzsHTwrm2ILU92aQJIqf/CbMz/BtzDVCxBobfkJtLa+VEfAtQCBVilKoFUCpri8KYF2xV0vyOqfLY9P23FA4VnZn/CsbIqt82JrAokXbQj2EMxPsK3z4uAEWts2EGhtfamOgGuB3AfaWU89KzMff+Yo13ULf1H9ZzdOekDKV6yJ/3nU0H7y2Ixbqv8dgdb1SCZXrzGBtqL8nfhZ2V1rt8cHG3DzcBly5+jkDslO3goQSLxtTRAHY36CaJO3hyTQ2raGQGvrS3UEXAsQaAuBduWq9UeE1JrIU2c+IVsrdlT/+yjcdivtKFMmXhs/jEDreiSTq1cs0K6YWnhW9qf//6zssGlfktLhpyd3QHbyWoBA4nV7vD8c8+N9i7w+IIHWtj0EWltfqiPgWoBAWyTQjp9wm0y//XoZ2LdXbP/K2o0y+Z5ZMvvJewm0rqcx4Xr1BdqKxV88K7vm82dlB04cLoMn86xswu3xfjsCifct8vqAzI/X7fH+cARa2xYRaG19qY6AawECba2XHPc4rXN1WK3YXiljr7pZ5j39oJR2Konta/8Zz9C6Hsnk6tUVaFdOWySrHloWH6LjBV1k6LRLpOuI7skdip2CESCQBNMqLw/K/HjZlmAORaC1bRWB1taX6gi4Fsh9oK0NGr2kOPqJ3ifbmEB76NBh1z2hXoICLVu2kKiH77z4jsy5+TmpeLki3n1k4Ttlx0wfk+BJ2CpEgar5CfHsnDl9AeYn/R4Ee4IWItF/lOXvIDYdjP5/kx8EEAhHgEBbq1fRS4on3DRdog+FakygfW/3vnC6zUmPEIj+MtChfRv50x0L5KV7y+N/1+GCzjK88L2yXUfxrCzj0rBA9AxbyYltZMeH+6FCoMkCzE+TyVhQQ6BV4ffPySe0kZ0f8fvHYjC6nHKcRVlqIoCAkQCBtoFAG/0r3kNrNHkelN29Zoes/NECeXvR2/Fp+n93qAy76xIPTsYRQhDgJaMhdMnfMzI//vYmhJPxkmPbLvGSY1tfqiPgWiD3gTYKrFUf8FQVYMsG9an+FGM+5dj1yPlRb80jK2XZlOfjw7TvWSLDp18qp48904/DcYogBAgkQbTJ20MyP962JoiDEWht20SgtfWlOgKuBXIfaGt+x2yEe/UVY6rDbBU230PreuzSq/fhW5Wy9M4FsmXeW/EhBn1rsAyYcrG0bHNMeodi5yAFCCRBts2bQzM/3rQiyIMQaG3bRqC19aU6Aq4Fch9otaB8yrFWMLn163+5WpbcOV8O7v9M2nY+Xkb9xzgpu66/vFfJ+6CT60J2diKQZKeXadyE+UlDPTt7Emhte0mgtfWlOgKuBQi0SlECrRIwgeV7398jSycvkLd+vz7e7ex/OF9G3D1W2p7aVjqdciyBNoEeZHELAkkWu5rcnZif5KyzuBOB1rarBFpbX6oj4FqAQKsUJdAqAY2Xv/mb1wphdr7s2/WptC58IuSIuy+Vc67pF+9a1/fQGh+H8hkSIJBkqJkpXIX5SQE9Q1sSaG2bSaC19aU6Aq4FCLRKUQKtEtBo+YE9+2XZ5Odlw69ejXfo8eWz42dlTzj9pOodCbRG+DkpSyDJSaONrsn8GMHmpCyB1rbRBFpbX6oj4FqAQKsUJdAqAQ2Wb/7TxkKYXSAfv/OhSOG70aNPMO57w6CjdiLQGuDnqCSBJEfNNrgq82OAmqOSBFrbZhNobX2pjoBrAQKtUpRAqwR0vHxp4UOf1j7+57hq14t6xGG2pHeHOnch0DrGz1k5AknOGu74usyPY9CclSPQ2jacQGvrS3UEXAsQaJWiBFoloKPlWxdtjp+VrXx9Z1xx8OTRMnDi8AarE2gd4ee0DIEkp413dG3mxxFkTssQaG0bT6C19aU6Aq4FCLRKUQKtEtDB8pemvyivzFwaV+o4qFRGFJ6V7TS4a9HKBNqiRDygAQECCeOhEWB+NHqsJdDazgCB1taX6gi4FiDQKkUJtEpAxfIdL1fE3yu7/aVtcZUB3yuTIT+4qNEVCbSNpuKBdQgQSBgLjQDzo9FjLYHWdgYItLa+VEfAtQCBVilKoFUCNnP5qoeWycppi+LVp5x3avxe2W4Xn9GkagTaJnHx4FoCBBJGQiPA/Gj0WEugtZ0BAq2tL9URcC1AoFWKEmiVgE1cvnvDzvjreN5duCle2edfL4zDbIuWhY8zbuIPgbaJYDz8CAECCQOhEWB+NHqsJdDazgCB1taX6gi4FiDQKkUJtErAJixfN+tliT7F+PChw3Li6e2lbPoYOWN8ryZUOPKhBNpm07GwIEAgYQw0AsyPRo+1BFrbGSDQ2vpSHQHXAgRapSiBVgnYiOV73v1Ilk6eL5uf3Rg/+pxr+hWelR0jbU48thGr638IgVbFl/vFBJLcj4AKgPlR8eV+MYHWdgQItLa+VEfAtQCBVilKoFUCFln+xq/XFMLsAjnw0X45rqRt/Kxsr6/3cbIpgdYJY26LEEhy23onF2d+nDDmtgiB1rb1BFpbX6oj4FqAQKsUJdAqAetZvn/3vvhZ2Y1Pr4sfceYV58Zfx9OuywnONiTQOqPMZSECSS7b7uzSzI8zylwWItDatp1Aa+tLdQRcCxBolaIEWiVgHcs3/XFD/KzsJxUfS8s2x8iIuy+V3tcNcL4RgdY5aa4KEkhy1W7nl2V+nJPmqiCB1rbdBFpbX6oj4FqAQKsUJdAqAWssP3TgoCwpPCv7+s9XxX/afexZ8UuM2/cscbdJjUoEWhPW3BQlkOSm1SYXZX5MWHNTlEBr22oCra0v1RFwLUCgVYoSaJWAXyzfMn9T/BLjD9+sjP9k2F2XSP/vDnVTvJ4qBFpT3swXJ5BkvsWmF2R+THkzX5xAa9tiAq2tL9URcC1AoFWKEmiVgIXly3+8UF59eEVcqEvZaTK88BLjDv076wsXqUCgNSfO9AYEkky31/xyzI85caY3INDatpdAa+tLdQRcCxBolaIE2uYDvrfs3fhZ2Z2r34+LXHjrSBl028jmF2ziSgJtE8F4+BECBBIGQiPA/Gj0WEugtZ0BAq2tL9URcC1AoFWKEmibB/jyfYvlz/cujhef2reTlN09RrqO6N68Ys1cRaBtJhzLYgECCYOgEWB+NHqsJdDazgCB1taX6gi4FiDQKkUJtE0D3LV2uyy9c75ULNkSL+z3nSFSNvVLTSvi6NEEWkeQOS1DIMlp4x1dm/lxBJnTMgRa28YTaG19qY6AawECrVKUQNt4wDWPrJRlU56PF5x05imF98qOke7jeja+gONHEmgdg+asHIEkZw13fF3mxzFozsoRaG0bTqC19aU6Aq4FCLRKUQJtccCPN38gi++YJ1vmvhU/uPe1F8QvMW51XOviiw0fQaA1xM1BaQJJDppseEXmxxA3B6UJtLZNJtDa+lIdAdcCBFqlKIG2YcD1//WqLCmE2YP7PpN2nY6X4dMvlbO+dp5S3c1yAq0bx7xWIZDktfNu7s38uHHMaxUCrW3nCbS2vlRHwLUAgVYpSqCtG/DTXXtl6e3z5S+/ez1+wNl/f378rGzbU9spxd0tJ9C6s8xjJQJJHrvu7s7MjzvLPFYi0Np2nUBr60t1BFwLEGiVogTaowHf/t83pfzWObK3Yo+0Pr5N4VnZMXLuhP5KaffLCbTuTfNUkUCSp267vyvz4940TxUJtLbdJtDa+lIdAdcCBFqlKIH2SMAVU1+Q1T9dHv/h6WPPlJH3XiYn9mivVLZZTqC1cc1LVQJJXjptc0/mx8Y1L1UJtLadJtDa+lIdAdcCBFqlKIH2c8DK13fKkklzpWLp51/HM/iOUTLwlhFKXdvlBFpb36xXJ5BkvcO292N+bH2zXp1Aa9thAq2tL9URcC1AoFWKEmhFog9+Wlx4ifGhzw5J+7NLZOSMsdLtojOUsvbLCbT2xlnegUCS5e7a3435sTfO8g4EWtvuEmhtfamOgGsBAq1SNM+BNvrk4vJb58obv14TK57zT/1k1H3j5JjjWilVk1lOoE3GOau7EEiy2tlk7sX8JOOc1V0ItLadJdDa+lIdAdcCBFqlaF4D7dZFm2XxpHny4ZuV0rJVSxl532Vy3jf8++CnhtpLoFUOf86XE0hyPgDK6zM/SsCcLyfQ2g4AgdbWl+oIuBYg0CpF8xhoVz24VFbe/WIsVzr8dBkxY5yU9O6glEx+OYE2efMs7UggyVI3k78L85O8eZZ2JNDadpNAa+tLdQRcCxBolaJ5CrSfbPu48F7ZufL2c2/Gahf8+zAZOuVipWB6ywm06dlnYWcCSRa6mN4dmJ/07LOwM4HWtosEWltfqiPgWoBAqxTNS6Dd9McNcZj9dNdeadflhMJ7ZS+THl8+W6mX7nICbbr+oe9OIAm9g+men/lJ1z/03Qm0th0k0Nr6Uh0B1wIEWqVoHgLtsinPy5pHVsZSZ/7tOfH7Zdt2bKeUS385gTb9HoR8AgJJyN1L/+zMT/o9CPkEBFrb7hFobX2pjoBrAQKtUjTLgXb3azulfNIceW/Zu7HS0B9dLBf82zClmD/LCbT+9CLEkxBIQuyaP2dmfvzpRYgnIdDado1Aa+tLdQRcCxBolaJZDbQ1v1u25LwOMqLwdTzRB0Bl6YdAm6VuJn8XAkny5lnakfnJUjeTvwuB1tacQGvrS3UEXAsQaJWiWQu0hw4cjL9bdsOvXo1lzv3n/vF3y7Zsc4xSyr/lBFr/ehLSiQgkIXXLv7MyP/71JKQTEWhtu0WgtfWlOgKuBQi0StEsBdqKpVtkSSHMVq7fGex3yzalnQTapmjx2NoCBBJmQiPA/Gj0WEugtZ0BAq2tL9URcC1AoFWKZiXQrv7Zcllx1wuxRudh3WT0fZfLKeeH992yTWkngbYpWjyWQMsMuBQg0LrUzF8tAq1tzwm0tr5UR8C1AIFWKRp6oP10x97C1/HMkU3/80Ys0e87Q6Rs6peUKmEsJ9CG0SdfT0kg8bUzYZyL+QmjT76ekkBr2xkCra0v1RFwLUCgVYqGHGjf/tObhffLzpG97+2Rtqe2K3wdzzg58+/OVYqEs5xAG06vfDwpgcTHroRzJuYnnF75eFICrW1XCLS2vlRHwLUAgVYpGmqgXTltkax6aFl8++6X9YzD7AndTlJqhLWcQBtWv3w7LYHEt46EdR7mJ6x++XZaAq1tRwi0tr5UR8C1AIFWKRpaoP1g467CS4znybbyt+ObD7lztAy4ebhSIczlBNow++bLqQkkvnQizHMwP2H2zZdTE2htO0GgtfWlOgKuBQi0StGQAu0bv14Th9nP9v1VTjrrFBl9/2XS9aIeSoFwlxNow+2dDycnkPjQhXDPwPyE2zsfTk6gte0CgdbWl+oIuBYg0CpFgwi0h0Ve/P5zsv6Xq+Pb9rqqT/wS49bHt1HePuzlBNqw+5f26QkkaXcg7P2Zn7D7l/bpCbS2HSDQ2vpSHQHXAgRapajvgXb7ym3xBz/tWrs9vunIGePk/H8ZqLx1NpYTaLPRx7RuQSBJSz4b+zI/2ehjWrcg0NrKE2htfamOgGsBAq1S1OdAu/bRl2TpDxfEN+x4YWn8rGzHC7oob5yd5QTa7PQyjZsQSNJQz86ezE92epnGTQi0tuoEWltfqiPgWoBAqxT1MdDu371PFk+aK3/53evx7freMEiG332p8qbZW06gzV5Pk7wRgSRJ7eztxfxkr6dJ3ohAa6tNoLX1pToCrgUItEpR3wLtlnlvxS8x3rPlI2l9UpvCBz9dLj2v7K28ZTaXE2iz2dekbkUgSUo6m/swP9nsa1K3ItDaShNobX2pjoBrAQKtUtSnQPvSPeXyyv1L4hudNuaMwkuML5OTepysvGF2lxNos9vbJG5GIElCObt7MD/Z7W0SNyPQ2ioTaG19qY6AawECrVLUh0D78eYPCs/KzpV3n98U3+bCSSNlUOH/+GlYgEDLhGgECCQaPdYyP8yARoBAq9ErvpZAW9yIRyDgkwCBVtmNtAPtm795rfDdsnPlwMf75cTu7WVE4VOMu489S3mrfCwn0Oajz1a3JJBYyeajLvOTjz5b3ZJAayX7eV0Cra0v1RFwLUCgVYqmGWiX3D5P1s16Ob5Bz6/1llGFlxi3OflY5Y3ys5xAm59eW9yUQGKhmp+azE9+em1xUwKther/1yTQ2vpSHQHXAgRapWgagXbHqvcKz8rOkR2vvBefvuwnY6TftwYrb5K/5QTa/PXc5Y0JJC4181eL+clfz13emEDrUvPoWgRaW1+qI+BagECrFE060EbPyEbPzEY/p/brFD8r22lwV+Ut8rmcQJvPvru6NYHElWQ+6zA/+ey7q1sTaF1J1l2HQGvrS3UEXAsQaJWiSQXav+45EL9XduMz6+IT9/7mgDjM8tN8AQJt8+1YKUIgYQo0AsyPRo+1BFrbGSDQ2vpSHQHXAgRapWgSgXbrws3xpxh/tGm3tGrbuhBkx0mvf+yrPDnLCbTMgEaAQKLRYy3zwwxoBAi0Gr3iawm0xY14BAI+CRBold2wDrTR98pG3y8b/XQd3SMOs+3PLlGemuWRAIGWOdAIEEg0eqxlfpgBjQCBVqNXfC2BtrgRj0DAJwECrbIbVoF2z7sfxS8xfmfuX+ITDvhemQz5wUXK07K8pgCBlnnQCBBINHqsZX6YAY0AgVajV3wtgba4EY9AwCcBAq2yGxaB9q3fr5fySXNkf+U+aVd6Qvxe2R5/c7bypCyvLUCgZSY0AgQSjR5rmR9mQCNAoNXoFV9LoC1uxCMQ8EmAQKvshutAu/SHC2Ttoy/Fpzrrq+fKiMJLjNt2aKc8JcvrEiDQMhcaAQKJRo+1zA8zoBEg0Gr0iq8l0BY34hEI+CRAoFV2w1WgrVy3o/DBT3Pk/RVb4xMN+/El0v+mocrTsbwhAQIt86ERIJBo9FjL/DADGgECrUav+FoCbXEjHoGATwIEWmU3XATa9b9cHYfZw4cOS0nvDjKy8BLjLmWnKU/G8mICBNpiQvz7hgQIJMyHRoD50eixlkBrOwMEWltfqiPgWoBAqxTVBNqD+z8rfPDTPNnw1KvxKc6d0F9GF8Jsi9YtladieWMECLSNUeIx9QkQSJgNjQDzo9FjLYHWdgYItLa+VEfAtQCBVina3EBbsfid+LtlP3hjl7RsfYyMnDFOzvtGf+VpWN4UAQJtU7R4bG0BAgkzoRFgfjR6rCXQ2s4AgdbWl+oIuBYg0CpFmxNoVz20TFZOWxTvXFp2evzBT9FLjflJVoBAm6x31nYjkGSto8neh/lJ1jtruxFobTtKoLX1pToCrgUItErRpgTaT9//JH6v7ObZG+Nd+393qAy76xLlCVjeXAECbXPlWBcJEEiYA40A86PRYy2B1nYGCLS2vlRHwLUAgVYp2thAu/nZjYX3y86Rvds/ib+GJ/rgpzO/eo5yd5ZrBAi0Gj3WEkiYAY0A86PRYy2B1nYGCLS2vlRHwLUAgVYp2phAu+KuF2T1z5bHO3W/vKeMKoTZ47ueqNyZ5VoBAq1WMN/rCST57r/29syPVjDf6wm0tv0n0Nr6Uh0B1wIEWqVoQ4F294adhWdl50rFki3xLoMnj5aBE4crd2S5KwECrSvJfNYhkOSz765uzfy4ksxnHQKtbd8JtLa+VEfAtQCBVilaX6Dd8KtX408xPnTgoLTvWSKj7h8nXUf3UO7GcpcCBFqXmvmrRSDJX89d3pj5camZv1oEWtueE2htfamOgGsBAq1StHagPXzwcPxe2defWB1X7nV138L7ZcdK63ZtlDux3LUAgda1aL7qEUjy1W/Xt2V+XIvmqx6B1rbfBFpbX6oj4FqAQKsUrRlo31++VconzZHKdTviqtF7ZXt/c4ByB5ZbCRBorWTzUZdAko8+W92S+bGSzUddAq1tnwm0tr5UR8C1AIFWKVoVaNc8slKWTXk+rtZxUGkcZjv076ysznJLAQKtpW72axNIst9jyxsyP5a62a9NoLXtMYHW1pfqCLgWINAqRd96ozJ+VnbTHzbElfreOEiGT79UWZXlSQgQaJNQzu4eBJLs9jaJmzE/SShndw8CrW1vCbS2vlRHwLUAgVYpev9pD8onWz+WNu2PLXzw02XS82u9lRVZnpQAgTYp6WzuQyDJZl+TuhXzk5R0Nvch0Nr2lUBr60t1BFwLEGgbIXrjpAekfMWa+JGjhvaTx2bcUr1q2rE/kW6ju8uIGePkpB4nN6IaD/FFgEDrSyfCPAeBJMy++XJq5seXToR5DgKtbd8ItLa+VEfAtQCBtojo1JlPyNaKHdUhNgq33Uo7ypSJ18YrG/oeWtfNop5bAQKtW8+8VSOQ5K3jbu/L/Lj1zFs1Aq1txwm0tr5UR8C1AIG2iOj4CbfJ9Nuvl4F9e8WPfGXtRpl8zyyZ/eS9BFrX05hwPQJtwuAZ245AkrGGJnwd5idh8IxtR6C1bSiB1taX6gi4FiDQNiBasb1Sxl51s8x7+kEp7VQSP7L2n326/6DrnlAvIYEWLUSObXOM7KOHCYlna5t4floX5ucAvwOy1dlkbsP8JOOc1V2YH9vOtj32GNsNqI4AAk4FCLTKQOu0GxRDAAEEEEAAAQQQQAABBBBotACBVhlod+850GhsHuiXQAtpIe2PbyUffPJXvw7GaYIQiF6yfmK7VvIh8xNEv3w7JPPjW0fCOk/0kvXjj2slH+3lf78sOnfKCW0sylITAQSMBAi0RWB5D63R5HlQlvfQetCEgI/AeyADbp4HR2d+PGhCwEfgPbS2zeM9tLa+VEfAtQCBtogon3LseuT8qUeg9acXIZ6EQBJi1/w5M/PjTy9CPAmB1rZrBFpbX6oj4FqAQNsI0Ya+h5av7WkEoKcPIdB62phAjkUgCaRRnh6T+fG0MYEci0Br2ygCra0v1RFwLUCgVYoSaJWAKS4n0KaIn4GtCSQZaGKKV2B+UsTPwNYEWtsmEmhtfamOgGsBAq1SlECrBExxOYE2RfwMbE0gyUATU7wC85Mifga2JtDaNpFAa+tLdQRcCxBolaIEWiVgissJtCniZ2BrAkkGmpjiFZifFPEzsDWB1raJBFpbX6oj4FqAQKsUJdAqAVNcTqBNET8DWxNIMtDEFK/A/KSIn4GtCbS2TSTQ2vpSHQHXAgRapSiBVgmY4nICbYr4GdiaQJKBJqZ4BeYnRfwMbE2gtW0igdbWl+oIuBYg0CpFCbRKwBSXE2hTxM/A1gSSDDQxxSswPyniZ2BrAq1tEwm0tr5UR8C1AIFWKUqgVQKmuJxAmyJ+BrYmkGSgiSlegflJET8DWxNobZtIoLX1pToCrgUItK5FqYcAAggggAACCCCAAAIIIJCIAIE2EWY2QQABBBBAAAEEEEAAAQQQcC1AoHUtSj0EEEAAAQQQQAABBBBAAIFEBAi0iTCzCQIIIIAAAggggAACCCCAgGsBAq1rUep5LzDrqWdl5uPPHHXOdQt/4f3ZOWB6ArPnL5eHf/5bmf3kvUcd4sZJD0j5ijXxn48a2k8em3FLegdlZy8F6psffh952S5vDjV15hPy339YUH2eun6/8PvHm3ZxEAQQSEmAQJsSPNum96IPhQAACaVJREFUJxD9BXLlqvWEjvRaENTOr6zdKBNumh6fucdpnY8KtNFfOLdW7Kiep+gvl91KO8qUidcGdU8OayNQbH74fWTjnpWq4yfcdsTvnOifrxx/kVx/zVfiK/L7Jyud5h4IIKARINBq9FgbpAB/gQyybakfur5n2KK/YE6//XoZ2LdXfMYowEy+Z1adz+SmfgkOkJpAQ8/Q8h/YUmtLcBvX/t8vfv8E10IOjAACBgIEWgNUSvotUPslfnU96+b3DThdGgJ1BZKK7ZUy9qqbZd7TD0ppp5L4WHX9WRrnZU+/BBr7kmN+H/nVN99OE70CZMiA8+JnaPn941t3OA8CCKQlQKBNS559vRGI/oIQ/fC+R29a4uVBCLRetiWYQzX0Huyal+D3UTAtTfygVf8xturzHgi0ibeADRFAwFMBAq2njeFYyQlUvceND4VKzjzEnQi0IXbNnzM3NtDy+8ifnvl0kmh+bp32aNFXg/AKEZ+6xlkQQCApAQJtUtLs460Af4H0tjVeHYz30HrVjuAOQ6ANrmXeHLj2M7M1D8Z7aL1pEwdBAIEUBQi0KeKzdToCdX1qZNmgPnwqbTrtCGbX+gIJnzIaTAtTPWhD/0Gk5ldBRb+f+H2Uaqu82rzYS9D5/eNVuzgMAgikJECgTQmebdMTqPmdfdEprr5iDGE2vXZ4v3PNr12pOuzEG75e/bUZ0Z/xPZDetzG1AxabH34fpdYa7zeuevlwXQd98uHJ1Z+szu8f71vJARFAwFiAQGsMTHkEEEAAAQQQQAABBBBAAAEbAQKtjStVEUAAAQQQQAABBBBAAAEEjAUItMbAlEcAAQQQQAABBBBAAAEEELARINDauFIVAQQQQAABBBBAAAEEEEDAWIBAawxMeQQQQAABBBBAAAEEEEAAARsBAq2NK1URQAABBBBAAAEEEEAAAQSMBQi0xsCURwABBBBAAAEEEEAAAQQQsBEg0Nq4UhUBBBBAAAEEEEAAAQQQQMBYgEBrDEx5BBBAAAEEEEAAAQQQQAABGwECrY0rVRFAAAEEEEAAAQQQQAABBIwFCLTGwJRHAAEEEEAAAQQQQAABBBCwESDQ2rhSFQEEEEAAAQQQQAABBBBAwFiAQGsMTHkEEEAAAQQQQAABBBBAAAEbAQKtjStVEUAAAQQQQAABBBBAAAEEjAUItMbAlEcAAQQQQAABBBBAAAEEELARINDauFIVAQQQQAABBBBAAAEEEEDAWIBAawxMeQQQQAABBBBAAAEEEEAAARsBAq2NK1URQAABBBBAAAEEEEAAAQSMBQi0xsCURwABBLIgcOOkB6R8xRqZ9/SDUtqppM4rVWyvlLFX3SyjhvaTx2bckoVrcwcEEEAAAQQQ8FyAQOt5gzgeAgggYClQFUKjPeoLq7PnL5dbpz0q6xb+ovooU2c+IVsrdtQZXPtccp3c98Nvy/hLh1kendoIIIAAAggggIAQaBkCBBBAIMcCs556VlauWi9btm2XK8dfJNdf85WjNMZPuO2of9dQoI0C8MM//63MfvLeHMtydQQQQAABBBBIQoBAm4QyeyCAAAKeCkRh9aZvXinb3t8pv5296KgQWtezs1EInvn4M0fc6OorxsiUiddW/xnP0nracI6FAAIIIIBAxgQItBlrKNdBAAEEGitQM6xWvfT4yYcny8C+vapLRM/ERj81w2r0zw09Q1v17+ta19iz8TgEEEAAAQQQQKAxAgTaxijxGAQQQCCDAtEHPXUr7VgdVmv/c3Tl6M+GDDjvqJciFwu0UVj+w3PlfDhUBueGKyGAAAIIIOCTAIHWp25wFgQQQCAhgbqeka3r5cVVL0mu/QFPjQm0vI82oWayDQIIIIAAAjkWINDmuPlcHQEE8itQ1/tgqzQm3vD16mdkCbT5nRFujgACCCCAQAgCBNoQusQZEUAAAccCdX1ycbRF9Mzrsj+vq/5wqOglx1dcPuqor+BpzDO0vOTYcdMohwACCCCAAAJHCRBoGQoEEEAgZwKvrN0oE26aXuf3zlb9u6oPh6rvQ6HqenlyTcb61uWMmusigAACCCCAgLEAgdYYmPIIIICAbwLRs67Rz2MzbqnzaNGzt2WD+sQfFtVQcI3qlK9YE9fga3t86zLnQQABBBBAIB8CBNp89JlbIoAAAs0WqO/lyfUVjEIwHwjVbG4WIoAAAggggEATBAi0TcDioQgggEAeBYq9vLi2SZ9LrpP7fvjto953m0c77owAAggggAACtgIEWltfqiOAAAKZEKh6efG8px+U0k4ldd6p6quARg3tx/fPZqLrXAIBBBBAAAH/BQi0/veIEyKAAAIIIIAAAggggAACCNQhQKBlLBBAAAEEEEAAAQQQQAABBIIUINAG2TYOjQACCCCAAAIIIIAAAgggQKBlBhBAAAEEEEAAAQQQQAABBIIUINAG2TYOjQACCCCAAAI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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ReactionKinetics.estimate_rate_constants_simple(t=t_arr_late, A_conc=A_conc_late, B_conc=C_conc_late,\n", " reactant_name=\"A\", product_name=\"C\")" ] }, { "cell_type": "markdown", "id": "222e6b40-5f4f-45eb-bab8-7fa208675f7d", "metadata": {}, "source": [ "This time we have an adequate linear fit AND meaningful rate constants : kF of about 8 and kR of about 0. Do those numbers sound familiar? A definite resemblance to the kF=8, kR=2 of the SLOWER elementary reaction `A <-> B`! \n", "\n", "#### The slower `A <-> B` reaction dominates the kinetics, from about t=0.1 on \n", "\n", "Let's see the graph again:" ] }, { "cell_type": "code", "execution_count": 25, "id": "0c1a9e04-5622-480c-beca-525857353618", "metadata": {}, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "uc.plot_history(range_x=[0, 0.4],\n", " vertical_lines_to_add=[0.1])" ] }, { "cell_type": "markdown", "id": "57e7c2b9-c693-4e16-92f6-6e0a94b18a2b", "metadata": {}, "source": [ "A possible conclusion to draw is that, in this case: \n", "1) the earlier part of the complex (compound) reaction `A <-> C` cannot be modeled by an elementary reaction\n", "2) while the later part can indeed be modeled by a 1st order elementary reaction, with kinetics similar to the slower `A <-> B` reaction" ] }, { "cell_type": "markdown", "id": "e9069c36-6852-4530-bd51-7a18aaeb4eb7", "metadata": {}, "source": [ "**The intuition:** imagine `A <-> B <-> C` as a supply line. \n", "`A <-> B` is slow, but the moment something arrives in B, it's very quickly moved to C. \n", "The slow link (`A <-> B`) largely determines the kinetics of the supply line." ] }, { "cell_type": "markdown", "id": "18171c4e-eb73-42c7-a5b7-c74c61357b20", "metadata": {}, "source": [ "### While it's a well-known Chemistry notion that the slower reaction is the rate-determining step in a chain, we saw in this experiment that **the complex reaction could be roughly modeled with the rate constants of the slower reaction ONLY AFTER SOME TIME**. " ] }, { "cell_type": "markdown", "id": "106971a6-169a-41e8-98a5-7d74fead715c", "metadata": {}, "source": [ "If we were interested in early transients (for example, if diffusion quickly intervened), we couldn't use that model." ] }, { "cell_type": "markdown", "id": "2c1ea8cf-b3f6-4569-a700-c0fe86e47fbb", "metadata": {}, "source": [ "#### Is that surprising? At early times, compare the inflection of the final product, `C`, of the composite reaction vs. the inflection of the product of a simple reaction (such as B in experiment `react1`, both appearing in green.)" ] }, { "cell_type": "code", "execution_count": null, "id": "1014bb04-6d8a-4ab5-b59c-2c23ef6896b4", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "43c44071-8633-4a25-a236-3ce6f8295de5", "metadata": {}, "source": [ "#### NEXT: in the continuation experiment, `cascade_2_b`, we explore the scenario where the 2 elementary reactions are much more different from each other" ] }, { "cell_type": "code", "execution_count": null, "id": "a485900d-f5ef-4bd3-9c4b-3896ad3de241", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.13" } }, "nbformat": 4, "nbformat_minor": 5 }