{ "cells": [ { "cell_type": "markdown", "id": "99bf0c38", "metadata": {}, "source": [ "# \"Crossing the border in disguise\" : a chemical crosses a membrane impermeable to it, \n", "#### by first undergoing a reaction converting it into a different chemical, to which the membrane is permeable, \n", "#### and then re-constituting the first chemical outside of the membrane, thru the reverse reaction.\n", "#### Reaction-diffusion `A <-> B` in 1D, in the presence of membranes with selective permeability to passive transport.\n", " \n", "Eventually, the reaction, the passive membrane transport and the diffusion all come to an equilibrium." ] }, { "cell_type": "markdown", "id": "0830bd78", "metadata": {}, "source": [ "### TAGS : \"reactions 1D\", \"diffusion 1D\", \"membranes 1D\"" ] }, { "cell_type": "code", "execution_count": 1, "id": "ad8c5806", "metadata": {}, "outputs": [], "source": [ "LAST_REVISED = \"May 31, 2025\"\n", "LIFE123_VERSION = \"1.0.0rc3\" # Library version this experiment is based on" ] }, { "cell_type": "code", "execution_count": 2, "id": "9ae363d7", "metadata": {}, "outputs": [], "source": [ "#import set_path # Using MyBinder? Uncomment this before running the next cell!" ] }, { "cell_type": "code", "execution_count": 3, "id": "01e3ecbd", "metadata": {}, "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, BioSim1D, ChemData, UniformCompartment" ] }, { "cell_type": "code", "execution_count": 4, "id": "73d0566f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "OK\n" ] } ], "source": [ "check_version(LIFE123_VERSION)" ] }, { "cell_type": "code", "execution_count": null, "id": "096fd5b5", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "e2cdebf1-032a-4870-9f9e-891317821ad7", "metadata": {}, "source": [ "## Prepare the initial system, for starters with IM-PERMEABLE membranes\n", "with two chemicals `A` and `B`" ] }, { "cell_type": "code", "execution_count": 5, "id": "dd95fbb6-ee21-40af-9de8-9684925ddb1b", "metadata": {}, "outputs": [], "source": [ "chem_data = ChemData(diffusion_rates=[2., 2.], plot_colors=[\"turquoise\", \"green\"]) # Names \"A\", \"B\" automatically assigned\n", "\n", "bio = BioSim1D(n_bins=9, chem_data=chem_data)" ] }, { "cell_type": "code", "execution_count": 6, "id": "81a9e534-8c10-4ce2-bf19-44d76d073267", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Number of reactions: 1 (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", "Set of chemicals involved in the above reactions: {\"A\" (turquoise), \"B\" (green)}\n" ] } ], "source": [ "reactions = bio.get_reactions()\n", "\n", "# Reaction A <-> B , 1st-order kinetics, mostly (but not hugely) in the forward direction\n", "reactions.add_reaction(reactants=\"A\", products=\"B\", forward_rate=8., reverse_rate=2.)\n", "reactions.describe_reactions()" ] }, { "cell_type": "code", "execution_count": 7, "id": "314ffa3c-3c1f-451d-b12f-e998e98374ac", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0:\n", "9 bins and 2 chemical species\n", "Membranes present: [(4, 5)]\n" ] }, { "data": { "text/html": [ "
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.system_heatmaps()" ] }, { "cell_type": "code", "execution_count": null, "id": "0b3d4599-836d-443f-98d2-49f4cebba2c9", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "8242cb1d-7754-4636-86fe-2b545f839516", "metadata": {}, "source": [ "## Request history-keeping for some bins" ] }, { "cell_type": "code", "execution_count": 9, "id": "2cd2f55f-6592-4455-b7d4-eb9ee6c6db90", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "History enabled for bins [0, 2, 4] and chemicals None (None means 'all')\n" ] } ], "source": [ "# Request to save the concentration history at the bin with the initial concentration injection, \n", "# and at a couple of other bins\n", "bio.enable_history(bins=[0, 2, 4], frequency=10, take_snapshot=True) " ] }, { "cell_type": "code", "execution_count": null, "id": "c4618c1f-2562-40af-b247-0e2b22f9490d", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "code", "execution_count": null, "id": "f1a6569e-ef48-45dd-8eeb-f6e973fd9614", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "d185e119", "metadata": { "tags": [] }, "source": [ "### Advance reaction to equilibrium\n", "The membranes are impermeable for now; so, no transport across them occurs" ] }, { "cell_type": "code", "execution_count": 10, "id": "56a56a54", "metadata": {}, "outputs": [], "source": [ "delta_t = 0.002 # This will be our time \"quantum\" (fixed time step for reactions, passive transport and diffusion) for this experiment" ] }, { "cell_type": "code", "execution_count": 11, "id": "91fb40dd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0.7:\n", "9 bins and 2 chemical species\n", "Membranes present: [(4, 5)]\n" ] }, { "data": { "text/html": [ "
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.plot_history_single_bin(bin_address=4)" ] }, { "cell_type": "code", "execution_count": 14, "id": "9f2df08b-2d42-48f8-9295-b6dc331a2498", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A <-> B\n", "Current concentrations: [A] = 2.007 ; [B] = 7.993\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 3.98307\n", " Formula used: [B] / [A]\n", "2. Ratio of forward/reverse reaction rates: 4\n", "Discrepancy between the two values: 0.4233 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Check the reaction equilibrium\n", "bio.reaction_in_equilibrium(bin_address=4, rxn_index=0, explain=True) " ] }, { "cell_type": "markdown", "id": "4bc8eec0-ac8c-4b87-a48a-073dce29c697", "metadata": {}, "source": [] }, { "cell_type": "code", "execution_count": null, "id": "1a1b82a4-acff-4090-825b-cd2fd59ff3c7", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "c1954c6e", "metadata": { "tags": [] }, "source": [ "# Let's siphon off the product `B` from the central bin 4, by making the membrane permeable to it \n", "while still remaining impermeable to `A`. Note the system time when this happens:" ] }, { "cell_type": "code", "execution_count": 15, "id": "df80a6d2-1222-40d6-9bca-eb45dfc228b6", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "0.7000000000000005" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.system_time" ] }, { "cell_type": "code", "execution_count": 16, "id": "83d7c318-78f3-410b-879b-849c96c6549a", "metadata": { "tags": [] }, "outputs": [], "source": [ "bio.change_permeability(\"B\", 1.) # Make the membrane permeable to `B` (and only to `B`!)" ] }, { "cell_type": "code", "execution_count": null, "id": "2b0ecdbd-c33f-4c34-b5df-2d185b76b50c", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "876e8625-97ba-410b-a5ee-5929d7530be1", "metadata": { "tags": [] }, "source": [ "### Advance the reaction - and now also the passive transport of `B` across the membrane, and its diffusion outside" ] }, { "cell_type": "code", "execution_count": 17, "id": "2aacf344-7979-409f-b38d-4e08943c6a5f", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0.76:\n", "9 bins and 2 chemical species\n", "Membranes present: [(4, 5)]\n" ] }, { "data": { "text/html": [ "
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.system_heatmaps()" ] }, { "cell_type": "markdown", "id": "7904372d-cf0b-4d68-9a50-b26115c5eb62", "metadata": {}, "source": [ "Notice what's happening: \n", "1. `B` is diffusing away (because we made the membranes permeable to it) \n", "2. By Le Chatelier's principle, the reaction `A <-> B` in bin 4 is moving forward, because we're siphoning off the product `B` \n", "3. In the other bins, `A` is re-forming from `B`, from the reverse reaction" ] }, { "cell_type": "code", "execution_count": null, "id": "e9026bfc-dcaf-48d4-9a00-92acf97986fb", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "e5aa71a8-4ca6-4893-a7b4-82375bfed0c3", "metadata": { "tags": [] }, "source": [ "### Continue advancing the reaction, passive transport of `B`, and diffusion" ] }, { "cell_type": "code", "execution_count": 19, "id": "d5571acb-e021-40e9-97cc-63813486edc6", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 0.86:\n", "9 bins and 2 chemical species\n", "Membranes present: [(4, 5)]\n" ] }, { "data": { "text/html": [ "
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SpeciesDiff rateBin 0Bin 1Bin 2Bin 3Bin 4Bin 5Bin 6Bin 7Bin 8
0A2.00.0001450.0017530.0162620.0913031.7824240.0913030.0162620.0017530.000145
1B2.00.0008960.0112790.1141460.8069556.1320990.8069550.1141460.0112790.000896
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", 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SYSTEM TIME=%{x}
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X7fth+KUpLMPWI8r1Lc6I1rjXryKMsNS+447mDhP/qJ8ROB8CEIAABCAAAQgUlQDCMoKwDJq2U00I+r/Y6n3/tEn3y5D7BSuJLwD+jlhNnEYdYemtq65H6V3/zC0zrPCrNeIkaPSmm3/Uaei6EUDY+PhjUesFHcQuqE1hRUaUqe1B9aoW4yBhGbQGX6221opHUL3DjqSsFtO4LDRfNz46elkPV8xUe9ybpt7oZveLZZh1QKO8nqvFoFa8supftV4bYQVT2JG9aQpLf961roFJXDfCrmEZdM32v1dEuV677dT+r9PB3Q1R9HGdFq6HdzmEJPp0rddQlA9HYftT0HtOvQ3ivIIyyvti2L5brZ3V+nQUge7PO01hGbavBb2/aD2jjLAM874Z9z0hymcKl3PcMoP6AiMso1wJOBcCEIAABCAAAQhUCCAsPT2h1gjLoKlPmjRoR0zvlCr31/KgXTer7RIeRpoE7VzqNkXresfXPutszhDUJu80tyhrJnnbFbRAfNAu4e4XGHfXbr1f78tANVkQ9CXNHZXgrY9X8oSNj9YrrHBNWlhq2W7/8o+u0PqvPP4oZ0pztSPoi5B3ir53VFa1L5m1LojV4pGGsIzLwm2HxlIPf/92OftHSEaRi2Ffe1HyrBfboJF1YYVlEkzjiCT3GqCjXYPWZfRer5ISlrpTfdAIcG/ca4mZJK4bQa+bMK/zoHOC6lOtz3jXFPReF73XfX9/itun3boEvc/pc3rdeewXvwr80c7bjrj9LGharcuz3g711d4Xw7KpFg//MjLea5T/9RCWX5rC0vu5xt9PvHGs99nCv4ZlmNdktffhMK+bRt7D3NeKd1RuGtPB3deALsVQbbkb5RNmBHWtdvIcBCAAAQhAAAIQKBsBhKUnorXWq6q1AYJ/zSf9QKpfzh54+PEpX5qDNnBoZB09bycMWt/JX1d/u3QtsS985qPOJiRRhKV3hFq1aY3VGHq/vNQTlv483C8T1b6kufl5uXhlRdj45CksvV8S/ReZMFPE/GuIKjMVnfoFyf8lyM+j3u6k1eKRlrCMy0LTV5teV00eNCIX6732Gskz6A2mWryiCMu4TOOKJLdd9ZglJSx1BOzW3p1TcPqvdfVGksW9btQbpVnrde4K92rXtHofRDR90HtWvWmn9eJTj5lXzPjrGEbGJNHP/G3Q65v+YOafAh71fbEem2oxcfu0vu96+2S1tYmrrQcddvO0JF5DYeMYxFB/LNUfJ4I23an3mqwmLONev6q9h7kx87/eonwuqvdadJ+vt853mPf5sGVxHgQgAAEIQAACECgLAYRlWSJJOyAAAQhAAAIQsIpAvR/orKoslYEABCAAAQhAAAIQgIBFBBCWFgWDqkAAAhCAAAQgUB4CCMvyxJKWQAACEIAABCAAAQhkSwBhmS1vSoMABCAAAQhAoEkIICybJNA0EwIQgAAEIAABCEAgcQIIy8SRkiEEIAABCEAAAhCAAAQgAAEIQAACEIAABCDQKAGEZaPkSAcBCEAAAhCAAAQgAAEIQAACEIAABCAAAQgkTgBhmThSMoQABCAAAQhAAAIQgAAEIAABCEAAAhCAAAQaJYCwbJQc6SAAAQhAAAIQgAAEIAABCEAAAhCAAAQgAIHECSAsE0dKhhCAAAQgAAEIQAACEIAABCAAAQhAAAIQgECjBBCWjZIjHQQgAAEIQAACEIAABCAAAQhAAAIQgAAEIJA4AYRl4kjJEALpELj+5jvltrvun8z8vm99WZYtXZhOYU2SK0wrgX7ksdVyyVVfmYz61ZddJBecc2asXuCy9fbTY864WH5z1Uny1Ws/EStvTRyUf+xMLc/AjVMS8Um7qeddcq1s2tIrD999Y9pFkT8EIAABCEAAAhCAAAQgUEICCMsqQfWLDPe0skqitL9cVst/3eub5awLPy3HLj9E7rr1mhK+xJJp0rfveVA+f8MdYkv/K0M8ozKtJtvcfC4+731y5cfPTybgGebivgaTlmDNKCzTvp7lJSwbkcNh31Oyev24sVkwbzYSNcPrC0VBAAIQgAAEIAABCECgUQIISx8590uNPuyXQ5dfc5M88PDjUlQxUauThP1y2WhHK4PgarTtSaRTfnrYInXLEM+oTMsqLF0Z9exDtyXRVSfzQFgm/wMMwrLxLqqvXz0Qlo0zJCUEIAABCEAAAhCAAASyJICw9NFede4nnUeqTWPTL4yPPvFsIUdS2Sgss+zsRS5L++UJKw5PZCptEhzSFtxJ1LFeHlGZJjmduV7dsnxef4h5cvWLiY86a0ZhmXbcyigs02am+bvXq0X7zWOaehbAKQMCEIAABCAAAQhAAAIJEEBYeiC6U9OiTo10R264WQWld2XHyuOPcqb2uke19dzc0ZzeGPvzVeGytXfn5Cn+kZ9eYXDRpV+ccq539Kh+mXvm+TX7dCf3HLfuv/tbqybXuXNHqfjroJn4R7CEzd+/rl0aXP2N9I6o9T4XFBe3f9SKSdBrMkoZQen9HPQcN9bVJJrGRb+cuyMyvaLjsV/8yhkpXKu/6nNBsdU+ceVf3RKqv+QRT7dN/j7nj2ctpmFj4PbzIInkCpIvfOajU9aGdJc+8PelsNeBqEsn+Je2CPParFdG0LVJmflHpCchLGtdB8Ne39x4Br0Ob73uCjl95YrJkHvz1KUqvIeOQPXnETRar9prslZbgq4tWrb/ml9NWAblHWb5iDCxrLY8Sr33Sfc1cMfXPuss++Ee/v4V1KaosQ16zbqPuW3U+JXhh5ZabeU5CEAAAhCAAAQgAAEIlIkAwtITTfeLTZgveprM/aLlFYVBj+m5riDxiolqXz6DRnnqF1oVTSqBgtZJcx/z5u/9oukXlP7NEGp9kXPrHiQytK4qZbxf+oPqXy//IC5Jcw164brcvNNha7H0Co6w/SVsGbUuLH4B6Z4bVVj6JUiQVApqv6bT9qpw181YbI2n+1rz91Xl5H+sGtNqcajGupqw1B8BvGV6ZVfQ4/4fHFxh7O2b9UaAe+vuSltv+qDHvEInzJubnr9k0YIpo8yDXgtxhWW962CU61vQOolBP1B58/Rzd38c8j/u/WHA7X9+AV2vLVqXe+57ZMqSD0H1q9XXGukncWJZr6+4fc0vdf2vxVrCUsuo995Vqx7+PoiwrBc1nocABCAAAQhAAAIQgIA9BBCWnlgEfZmvFapqX36ifFH3S5MwmxtUK9e/iUi1vNzzvPItioCq132DNjOJkn8aXOvV2f+8f5psLeannXxsQ7t1R5mKm5Sw9I+KciWaV5aF+VJvazyr9fkgKZK2sAzaIblamWGvA2E3yKk1ddgvXqMKy1ri39u/olwH/XmGuQ5Gub7VGvXonQ5fLc9qjIIe95cVpi3Vrk/+ZQuC4lqtbVpuI5tABfWxRtpQ733Kff+pN8Jy2dKFk3iC3ruqsas18pmdy6O+I3I+BCAAAQhAAAIQgAAEsieAsIwhLKOMuAo7Ei6MLKpXrvtFMMoX+igCqppc8D/eqBCt1z6vFAnLtd5Lq9q0dXfUkism6k2XrSe4g6beh9nsJEthGWatxij9Jct4RqlXHsKyWv38j9drR72Nv2oJJn/ejQhLVwb5+7u3XnGEZZjrYNjrWy15699wqFqeUR739/cwbXE5Bi1V4L3mVBPvOvqzXp+oJ/aixjLMNTVI2vt/JElDWAb9EKP1jRKLeu3jeQhAAAIQgAAEIAABCEAgXQIIywBhGWZKeLUvRJpd0LTwsGKtnkSpth6it5u4Qi/sF/p6X+Sq1b3ajupxRnCmxbXay8itq3/aYpDECVrvLYwkiFJGtXpmJSxr8ffWrZ5Qc6fEZh3PWq8f/1TUeq81fyyiiNewYtItw39+0Pqh3vpUW/PSPaeWhPSPJI8qLN26eX84CIpzHGEZJjZhr2/V1of08nSv+VHEpKYP08YwbXFjEDSVvNpatLo0g3sE9Rf/+pxB15Y4saz30aTaayALYak89fCvo4uwrBc1nocABCAAAQhAAAIQgIA9BBCWnlhE3XQnisAIKyzDfKHSvMKIsrBf6BsVlmnlnwbXai+5arzDSBz3y349MRCnDK+Q8K+Vp8+F7VfVRpkFiSZGWAb3lij9Mq6w1PR6uJsmRX3LSGuEZZR+FEbmRX1des8Pe/1x61zvdap5pyEsw17TgyR0rc2zvMLSy8X7Q1Kt0dtxY1mvT1Zrt7/cNEZYVttMyFvnOKPl67Wd5yEAAQhAAAIQgAAEIACB+AQQlj6G7pS8al/09MvgXff+0FkbLI21FmuJBndNsjBfgGt9+Q4aAVlrPcV6u976WcXNPw2u1V4q1UY/+YWl3veP1qk11dRbXtgyar2csxphqXWoNTLqJz9/xtl0J0p/yTKeaa5h6V9P0I1XlLXyworMRtYM9PaftNawrLaGYNIjLMNcB8MKS+USRsKnJSzrteW8s9/l7KId9CNUPWHpfT8KI3O950SJZdC6xPU+foR93achLKvVLex7Z7228TwEIAABCEAAAhCAAAQgkD4BhKWPcbVpznqaK7HcL5buF616O1zX+sIcJKL0y7V/irJXlgTtEu42Q8+742ufdTaBifKFvtZmBtW+7AeNSPVOv/SOaIqSf1pcg15OQbsbe0fnuDI2aMfmsLuEhy2jEWEZNBLUrWu9te+0vCDRFMTfvxGHrfF0X2v1dibW88JM1fXGpNqo2zSEpVs/XZvQ/4OAd7f2Wn3Gnfrt32VZ11H15hlmNLFbTtAO8t5rZlJrWFaLo/c62Mj1zS8Fte4XXfpFcTdhSWOEZZi2aLv08G4GE+Z1XO29ICg/f1+JEsuwS0V4y/AvPaDPBS2XgrBM/4MeJUAAAhCAAAQgAAEIQKCIBBCWVaJWbUpZ0MhL/0YJ/p2Y3S+sYab8udVxv+y594OmrwWtW+Y9L8oXei3H32ZXdNQaneRfH07buPL4o+TzN9wh/imYUfNPg2tQuP310vg99otfyQMPPz5F7ARtiBFmw5wgttXKqHYRqSXX/H1F46YSJszad7VEhL+9ftljazyVoZ9JlNderQu59zXnStG0hGVQv3HrFrbfudcAN51f5HrLCJunfx1dzVN/JPGPEowzJTzMdTDq9a3a+r/1JKvWJYrIrHa9rHdN91/Pw76OgzZACjvdOWwslYH/Wh/0Pud97bijGVW6ew9/OoRlET86UmcIQAACEIAABCAAAQikTwBhmT5jSoAABCAAAQhAAAIQgAAEIAABCEAAAhCAAARCEkBYhgTFaRCAAAQgAAEIQAACEIAABCAAAQhAAAIQgED6BBCW6TOmBAhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQCAkAYRlSFCcBgEIQAACEIAABCAAAQhAAAIQgAAEIAABCKRPAGGZPmNKgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABEISQFiGBMVpEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAQPoEEJbpM6YECEAAAhCAAAQgAAEIQAACEIAABCAAAQhAICQBhGVIUJwGAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIpE8AYZk+Y0qAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEQhJAWIYExWkQgAAEIAABCEAAAhCAAAQgAAEIQAACEIBA+gQQlukzpgQIQAACEIAABCAAAQhAAAIQgAAEIAABCEAgJAGEZUhQnAYBCEAAAhCAAAQgAAEIQAACEIAABCAAAQikTwBhmT5jSoAABCAAAQhAAAIQgAAEIAABCEAAAhCAAARCEkBYhgTFaRCAAAQgAAEIQAACEIAABCAAAQhAAAIQgED6BBCW6TOmBAhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQCAkAYRlSFCcBgEIQAACEIAABCAAAQhAAAIQgAAEIAABCKRPAGGZPmNKgAAEIAABCEAAAhCAAAQgAAEIQAACEIAABEISQFiGBMVpEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAQPoEEOGGsf0AACAASURBVJbpM6YECEAAAhCAAAQgAAEIQAACEIAABCAAAQhAICQBhGVIUJwGAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEIpE8AYZk+Y0qAAAQgAAEIQAACEIAABCAAAQhAAAIQgAAEQhJAWIYExWkQgAAEIAABCEAAAhCAAAQgAAEIQAACEIBA+gQQlukzpgQIQAACEIAABCAAAQhAAAIQgAAEIAABCEAgJAGEZUhQnAYBCEAAAhCAAAQgAAEIQAACEIAABCAAAQikTwBhmT5jSoAABCAAAQhAAAIQgAAEIAABCEAAAhCAAARCEkBYhgTFaRCAAAQgAAEIQAACEIAABCAAAQhAAAIQgED6BBCW6TOmBAhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQCAkAYRlSFCcBgEIQAACEIAABCAAAQhAAAIQgAAEIAABCKRPAGGZAOMN2/YmkAtZFJ1AS4vIork9srGX/lD0WCZV/zkzOmVoeFT6B0eTypJ8Ckygva1F5s3skjd2DBS4FVQ9SQLzZ3XJnr3DMjg8lmS25FVQAl0drTK9p0N6dw0WtAVUO2kCC+d2y9adgzI6Np501uRXQALTu9tFP0vs7BsuYO2pchoElszvEVxE42SVH4fdBBCWCcSHi0QCEEuQBcKyBEFMuAkIy4SBFjw7hGXBA5hC9RGWKUAtcJYIywIHL6WqIyxTAlvQbBGWBQ1citVGWMaDi7CMxy+L1AjLBCgjLBOAWIIsEJYlCGLCTUBYJgy04NkhLAsewBSqj7BMAWqBs0RYFjh4KVUdYZkS2IJmi7AsaOBSrDbCMh5chGU8flmkRlgmQBlhmQDEEmSBsCxBEBNuAsIyYaAFzw5hWfAAplB9hGUKUAucJcKywMFLqeoIy5TAFjTbl379tGzv3Sonv+PMgraAaidNAGEZjyjCMh6/LFIjLD2Uz7vkWjnpuOVy5cfPn8L+8mtukgceftx57Njlh8hdt14z5XmEZRZd1f4yEJb2xyjrGiIssyZud3kIS7vjk0ftEJZ5ULe3TISlvbHJq2YIy7zI21kuwtLOuORZK4RlPPoIy3j8skiNsDSUvULy4vPeN0VYfvueB+WW2++Vh+++0YlHkNREWGbRVe0vA2Fpf4yyriHCMmvidpeHsLQ7PnnUDmGZB3V7y0RY2hubvGqGsMyLvJ3lIiztjEuetUJYxqOPsIzHL4vUCEsP5VXnflI+8J5TpwhLv6D0C0xNjrDMoqvaXwbC0v4YZV1DhGXWxO0uD2Fpd3zyqB3CMg/q9paJsLQ3NnnVDGGZF3k7y2UNSzvjkmetEJbx6CMs4/HLIjXCso6wVIn5sY+cLRecU1kr5JHHVsslV31Fnn3otsmUCMssuqr9ZSAs7Y9R1jVEWGZN3O7yEJZ2xyeP2iEs86Bub5kIS3tjk1fNEJZ5kbezXISlnXHJs1YIy3j0bRKWrme671tflmVLF8ZrWM6pddDfkkXz5avXfiJ2TRCWdYTlMWdcLFdfdtE+wtLtSHft2iIrW6fLgtaO2MEgg4ITaBGZ0d0he/YOF7whVD8pAt2dbTI6Ni7DI2OJZDk+Pi4tasY5CkmgtbVFekyf6BsYKWT9qXTyBHq62mVoZFRGR8eTzzyBHMfM9Uv7LUc2BNraWqSzvU32DnKNyIa4/aVM72mX/oFR0ff/ZjjMJUe45FSPdEd7q3NNHhwabYbuQBtDEJg5rUN29/PdMwSqwFOUX5aHDobb2rtzSpGua8pTWOos4s/fcIckJUsRlin1qqAp4fVGWL5r7dMyt61dvjjnYFna1pVSzci2CAT0K90M88Fy916+aBQhXlnU0RGWo2MynJCMGB8bk5bW1iyqThkpENAvYSqoEJYpwC1oltO62mRoeExG9Fu6hQfCMtugtJuLREdHqxGWyIhsydtb2oxuIyyNwLb0EpE4uHHT0BaMZVWuzzz9pGzbukVWnfnexNmTYTEJzOS7Z6zAKb8sDldG/uaqk/YZdagD5HT2bp7CMmkGCMukiU7k18galv99y6vySP9OmSat8qmepbK8rSel2pGt7QSYEm57hLKvH1PCs2duc4lMCbc5OvnUjSnh+XC3tVSmhNsamfzqxZTw/NjbWDKb7tgYlXzrxJTwePyzmhKunumEFYfXnCLtCstbr7vCWYLQPfT+6StXTGmoSk73WDBv9uQG0fqYO0NYR0y6h24sfd7Z75KzLvz05GO1ZhHrSW59/OWse33zlHz0+WOXHyJ33XrNZN4Iy3j9smrqIGFZb5dwnej5VxtelYeHd0qHtMilPUvkxLbpKdWQbG0mgLC0OTr51A1hmQ93W0tFWNoamfzqhbDMj72NJSMsbYxKvnVCWObL37bSEZa2RST/+iAs48UgC2HpFZF+8eitvXueV0Bef/Odcttd90/ZP8W/ZOHl19wkGzZtmxSGrsx091xxp3t783Ufc8/xj+50n/fKUi3n8j/9sFPlK//qlimCUstUKXrlx893nkdYxuuX+6RW+A88/PiUx72b6nif99tjTaSb7tw9tE3+xfzp8SddC+WMjtkJ15LsbCeAsLQ9QtnXD2GZPXObS0RY2hydfOqGsMyHu62lIixtjUx+9UJY5sfexpLZdMfGqORbJ4RlPP5ZCEu/HKxW46Ap4e5oRndtSRWYGzZtnTJS03+OX2i6z3vloz+Nv2wVjicdt3xSQNaj7JemCMt6xDJ+3t0l/CEzyvLvBjeLrkT1wc558nudCzKuCcXlSQBhmSd9O8tGWNoZl7xqhbDMi7y95SIs7Y1NHjVDWOZB3e4yEZZ2xyfr2iEssyZuf3kIy3gxKoqwdGWjisBnnl8T2Gj3nCjC0k3jF5b+PPwF+qeL6/PegX0Iy3j9MvHUrrDUjJ8a6ZMbBzfIkNnN77T2WfKx7kVmdUuOZiCAsGyGKEdrI8IyGq+yn42wLHuEo7cPYRmdWZlTICzLHN3G2oawbIxbWVMhLMsa2cbbhbBsnJ2mzEJYht1Mp9YIS6+wXLJofs21MNMWlu40df90ce+0dIRlvH6ZeGqvsNTMXxkblC/1vyb9MibHtk2TK7qXSqfaLI5SE0BYljq8DTUOYdkQttImQliWNrQNNwxh2TC6UiZEWJYyrLEahbCMha90iVnDsnQhjd0ghGU8hFkIS62hSsSgHcL1ORWAuvZjGGGp537v+49O2WTHTyAJYRm0t4tbTpCMZEp4vH6Yemq/sNQCN44PyRf710vv+Ii8pbVLruo5QGa2tKVeFwrIjwDCMj/2tpaMsLQ1MvnUC2GZD3ebS0VY2hyd7OuGsMyeue0lIixtj1C29UNYZsu7CKUhLONFKSth6a5j6ZeW7hRv3T8ljLB0154Myuf6v/yYLFu6cHKX8AvOOdOBU2sNy2pTwt36umtnaj7upjtf/dt/nrLJj5s/U8Lj9cVUUwcJSy1wx9iIfH7vekdeLmztkM/2HCgLWtpTrQuZ50cAYZkfe1tLRljaGpl86oWwzIe7zaUiLG2OTvZ1Q1hmz9z2EhGWtkco2/ohLLPlXYTSEJbxopSVsHRr6e7g7d737twdRlhWy8crC5MYYanluNIyqK46AnNr707nKW3DCSsOnyIxmRIer18mnrqasNSCdFr4l420fGl0wBlhebUZaXmAGXHJUT4CCMvyxTRuixCWcQmWKz3CslzxTKI1CMskKJYnD4RleWKZVEsQlkmRLEc+rGFZjjgm2QqEZTyaWQvLeLVtztQt4+ZozqYn1+pawlJLGTb7hn9t7wZ5YrRPus0WPJ/qWSpHtfUkVwFysoIAwtKKMFhVCYSlVeHIvTIIy9xDYF0FEJbWhSTXCiEsc8VvZeEISyvDklulEJa5obe2YIRlvNAgLOPxyyI1wjIByvWEpRahVvgbg5vl4eGdoitZ/ln3YjmlfWYCpZOFLQQQlrZEwp56ICztiYUNNUFY2hAFu+qAsLQrHnnXBmGZdwTsKx9haV9M8qwRwjJP+naWjbCMFxeEZTx+WaRGWCZAOYywdIv5ztA2+f/Mnx4Xdu4n7++cm0ANyMIGAghLG6JgVx0QlnbFI+/aICzzjoB95SMs7YtJnjVCWOZJ386yEZZ2xiWvWrGGZV7k7S0XYRkvNgjLePyySI2wTIByFGGpxf1kZJfcPLDJGXV5Zsds+aOuhQnUgizyJoCwzDsC9pWPsLQvJnnWCGGZJ307y0ZY2hmXvGqFsMyLvL3lIiztjU0eNUNY5kHd7jIRlvHig7CMxy+L1AjLBChHFZZa5FMjfXLj4AYZMkuIrmyfIX9upoi3S0sCtSGLvAggLPMib2+5CEt7Y5NHzRCWeVC3u0yEpd3xybp2CMusidtfHsLS/hhlWUOEZZa0i1EWwjJenBCW8fhlkRphmQDlRoSlFvvK2KB8qf81Zydx3YTnCrMZT4/ZlIejmAQQlsWMW5q1RlimSbd4eSMsixeztGuMsEybcLHyR1gWK15Z1BZhmQXl4pTBGpbFiVVWNUVYxiONsIzHL4vUCMsEKDcqLLXojeND8sX+9dI7PiIHtHbJ54y0nNXSnkCtyCJrAgjLrInbXx7C0v4YZVlDhGWWtItRFsKyGHHKqpYIy6xIF6cchGVxYpVFTRGWWVAuVhkIy3jxQljG45dFaoRlApTjCEstfsfYiHxp4HVZb0ZcLjCy8rM9B8rC1o4EakYWWRJAWGZJuxhlISyLEaesaomwzIp0ccpBWBYnVlnUFGGZBeVilYGwLFa80q4twjJtwsXLH2EZL2YIy3j8skiNsEyAclxhqVXYa6aF//Xe9fLS6IBMb2mTz/QcIG8xIy45ikMAYVmcWGVVU4RlVqSLUQ7CshhxyrKWCMssadtfFsLS/hhlXUOEZdbE7S6PNSztjk8etUNYxqOOsIzHL4vUCMsEKCchLLUaw2bf8K/t3SBPjPZJp7FfV3QvlWPbpiVQQ7LIggDCMgvKxSoDYVmseKVdW4Rl2oSLlz/CsngxS7PGCMs06RYzb4RlMeOWVq0RlmmRLW6+CMt4sUNYiqx7fbOcdeGn5djlh8hdt14TD2gKqRGWCUBNSlhqVcbN3zcGN8vDwzud7Xc+1r1ITmuflUAtySJtAgjLtAkXL3+EZfFilmaNEZZp0i1m3gjLYsYtrVojLNMiW9x8EZbFjV0aNUdYpkG12HkiLOPFD2Epcv3NdzoQb7vrfrnvW1+WZUsXxoOacGqEZQJAkxSWbnXuGdom/2z+9Phw53w5x/xx2E0AYWl3fPKoHcIyD+r2lomwtDc2edUMYZkXeTvLRVjaGZc8a4WwzJO+fWWzhqV9Mcm7RgjLeBFAWIqcd8m1cukfnytf+/u75aTjlsuVHz8/HtSEUyMsEwCahrDUav1kZJfcMrDJrG4psqpjtvxJ10JpSaC+ZJEOAYRlOlyLnCvCssjRS77uCMvkmRY9R4Rl0SOYbP0RlsnyLENuCMsyRDG5NiAsk2NZlpwQlvEimaWw7BsfkxcH++NVuIHU01rb5IjOnsCUOh38oku/KA/ffaN8+54H5Zbb73X+b9OBsEwgGmkJS63aL0b2yN8MbpSh8XF5R/tM+UjX/jLTbMrDYR8BhKV9Mcm7RgjLvCNgV/kIS7viYUNtEJY2RMGeOiAs7YmFLTVBWNoSCTvqgbC0Iw421QJhGS8aWQrL54ys/PNNL8arcAOpj+6aJl9fdHhgSnc6uDuq8pgzLrZuWjjCsoGg+5OkKSy1rJfGBuSrAxtkx9iIzGltl090LZaj2oIteQLNIYsGCSAsGwRX4mQIyxIHt4GmISwbgFbyJAjLkgc4YvMQlhGBNcHpCMsmCHKEJrKGZQRYTXIqwjJeoLMUlq8OD8iNva/Hq3ADqQ/q6JLL5h0QmHLVuZ+UO7722cl1Ky+/5iZZsmiBVdPCEZYNBD1rYanl7RkflZvM9PDVZgdxnRZ+tlnT8kPmTzfm4bCDAMLSjjjYVAuEpU3RyL8uCMv8Y2BbDRCWtkUk3/ogLPPlb2PpCEsbo5JfnRCW+bG3tWSEZbzIZCks49U0+dSPPLZaLrnqK/tkvGDebKumhSMsE4h92iMsvVW8b2i73Dm0VUbMfuKHtXXLf+1eIvNb2hNoBVnEJYCwjEuwfOkRluWLaZwWISzj0CtnWoRlOePaaKsQlo2SK286hGV5Y9tIyxCWjVArdxqEZbz4NrOw1OngGzZtla9e+4kpEHVa+K3XXSGnr1wRD25CqRGWCYDMUlhqddeODcqNZor45rFhmWbGWF7SvUhOap+RQEvIIg4BhGUceuVMi7AsZ1wbbRXCslFy5U2HsCxvbBtpGcKyEWrlToOwLHd8o7aONSyjEiv/+QjLeDFuZmGpYvLqyy6SC845cwpEnRauh19kxiPdeGqEZePsJlNmLSy14EGzy9Stg5vlZyO7nXq8y+wi/pHO/aVTrRlHLgQQlrlgt7pQhKXV4cm8cgjLzJFbXyDC0voQZVpBhGWmuAtRGMKyEGHKrJIIy8xQF6YghGW8UDWzsIxHLrvUCMsEWOchLN1q/2h4p9w2tMURmItbOuWynsVyQGtXAq0ii6gEEJZRiZX/fIRl+WMcpYUIyyi0muNchGVzxDlsKxGWYUk1z3kIy+aJdZiWIizDUGqucxCW8eKNsIzHL4vUCMsEKOcpLLX6OjX8f5op4uvNVPEOsyXPBV37yXs75iTQMrKIQgBhGYVWc5yLsGyOOIdtJcIyLKnmOQ9h2TyxDtNShGUYSs11DsKyueJdr7WsYVmPUPM9j7CMF3OEZTx+WaRGWCZAOW9hqU0YNpvw/NPgFnlgeIfTouPMmpYf71ooM1raEmghWYQhgLAMQ6m5zkFYNle867UWYVmPUPM9j7BsvpjXarHtwnJgZMCp/rj5V/lP5da9P27uj7dMPBbwnP/ciUxMNvvmE3TuZDkTEPW+m1ZrUalS+Lz85062p0YbvG2tVcdANm4dPfWvVWdt09yZnbJjz5CMjo2Fa99kGWmxcUMfEPuQMajNJlz8vPEOG5PJeJvVs1LpNx72+7wuEmEj0rO1TboHu2T5yhNkxX7HyazO2VxEm5wAwjJeB0BYxuOXRWqEZQKUbRCWbjN+MbJHbjZrW/aNj8ocIyt1F/HlbT0JtJIs6hFAWNYj1HzPIyybL+a1WoywpD/4CSAs9+0TKsXGzGeY0Ym/cbPkzeiYe3+s8tzE/cnzzH3nPCfN1HP0MW8alRuT6SfznXqO5jGZnznHW5+xiTSqVUbMDJcxt35iznPzm0xTqZOe4zyn/9znJtswUW9zX1rGRD9LDAwPVdK4aSfq7Nap8tybz7tlVJ6vPKePuezMI85jAyN7eRFCAAIFJrBSVsoC8+/fzT89ls48UI5Z8FZHXh5tbvX/B846qMAtpOpRCSAsoxKbej7CMh6/LFJbJyxXnftJ2dq7M7Dtzz50WxZMIpdhk7DUym8fG5EbBjfIS6MDZoK4yNmd8+RDnQvMfuIcaRJAWKZJt5h5IyyLGbe0ao2wTIusXfnuHe6X4fFhGRkdlmEjtFQcDZv/j5jHnFvz2LB5nx41fz3m98Q9eweNoJoQXxOCyhFvVURZRUZVF3cVufam0HpT9k2Vcq7UmpRpE4LQK/e85biCzBWJk3Jun7pM1G1KGybE3RRBiECzq+c2Vpvu9m6TsLLhY8vExo8t7n3/red5/7mOqXVyqpJXUNqJgZ5R8tqnjlXKnWyTU6P6dQpsv5N3nbQBbfDWsaO91VxLKmMIw9RD07rnNRZRUtlMoK21Et0dg7tl9Ru/CKzq7K45Rl6ukGONxDzG3Loi0+Z2UbfGCSAsG2enKRGW8fhlkdoqYXneJdfKkkXzrdlCPWwAbBOWWm+dOPIvQ9vkX82ffsg5rK3bGW05v6U9bLM4LyIBhGVEYE1wOsKyCYIcoYkIywiwapy6Z3i3DI0YyTc6KEOev0Hzf/2rPDYkg2ak3qBZ21nPHRqbuG+eU4noPGd+1KucP+Skqdyv/F+loj6nUlHlYkUyVmSjisgRlZCT/x82I9cqU2U5kiHQ3d4jbWaWSGtLa+W2tc25bTP3W/V24r7zf/c881jlvj/NxOPO8xPpJ87RfNw83HImy6xyzptpNK/g+vjPmdqGN+szpY0mr+6ODpne3Sl9e8cm8q7kX6lTq3F6lTLddG8+VzlHn68wqpwzeb62U/+ZxyqCkaMoBFjDsiiRyqae/k13ntu6Wp7d+kt5bttqeeaNp5z/7xysLA/mP1RgOiJzwduckZjH7PdWmdk5K5uKU0pqBBCW8dAiLOPxyyK1VcLymDMulluvu0JOX7kii7YnVoaNwtJt3POje+XGgY2yc3xEppkPq5d0L5KTzPqWHMkTQFgmz7ToOSIsix7BZOtfVGGpMk5l3qQInJCCrhxUcadTTZ37jhw08s/cOvcnhOHghDB0BaOKQX+ezn1XLqpANOWqaHTzLIoUVCHU3tIh7W3mr7VdOswPhZX/d0iH+dPbdiOO9LEZnT1mqq7pZ+NGME1KuIpsmpRe+rj5p9LOFVH7iLuJc9w0ruCqKcocidUytSxXALqCcFJ0VeqnddfxPVPq5xGEb8q0CcHok4hT61cRdwi0N68ztq9hmewVkdzCEEBYhqHUPOeE2SX8tV1rKwJzy9PyrPl7ZuvT8vru1wIhLZt1cEVeutPKjcRcMuOA5gFagpYiLOMFEWEZj18WqRGWCVC2WVhq83abkSBfH9gkq0f7nNae0TFb/q/O/aVzYhpMAgjIwhBAWNIN/AQQlvQJL4GkhOWOwe3SP9wnfcN7zF/fm/8f0vvuY3ucUX/uCENXLnpvh400HHBEZGX0oV8ual42HtM6pktnW5d0tXZKZ7u5NTMInPttnUZ+9RgpaB43/+8yjzmPG4HYaR7rMud2tk7c1+fN/yvpK+dV8njzvsrGimScuDWCsc3Ix4p0nLg1j3UYOdnTMa0hVKxh2RC20iZCWJY2tA03DGHZMLpSJmx0l3D93KCjL599w0jMiRGZOjoz6JjTNdeZTv6Ope+Uk5e8w3lfPXzuckZjWtqjEJbxAoOwjMcvi9RWCUudEn7OWafLBeecmUXbEyvDdmHpNvTfh7bLnUNbzJLvIotbOuXSnsVykPnCxpEMAYRlMhzLlAvCskzRbKwtup7h7qFdsnt4l/SP7JbW9kFZv73XEYt7jGDsN7cqH93/q4D0Skfv/e0D2xqrRAKpZnTMrMg9R/xVBGHlz0jCCWGo/9fHnPuOHKwIRef+xP9dYahy0SsJVULqqL1JaTghFx3xaMpTudioFEyg+allgbBMDW0hM0ZYFjJsqVYaYZkq3sJl3qiwrNbQp994Up5TgWnk5eotTzm31X6sXDhtkRw270hZPu8oOXTuEXK4+f9hc46QhdMXF45jmSqMsIwXTYRlPH5ZpLZKWD7y2Gr53F//nTx8941ZtD2xMooiLLXBa8xomhsHN8oWM4VPJ3ad37WfvK9jTmIsmjkjhGUzRz+47QjLYveJ3r1bjWzcbf52Ttwa8Wjk4x7z2C7z2F4zDXr73m2T93VtxV2D+vwu8/wu2THQmwoAlYczOmfItI4ZMt3cTjeyb7r5v0o/vdX7MztnG0nY8aZcnBhh6I5GdOWid0ThlBGGE8KQ6bqphHAyU4RlunyLljvCsmgRS7++CMv0GRephKSFZVDb1+x42ZlGrvLype2/lhd7n5cXzW21Qzf5UYF5hBGZOhLzMPN3+Nwj5aDZhxQJbWHrirCMF7pmFpbrXt8sZ1346X0A2rbRtVXCUtewrHXYBs+ta5GEpdZ5wOzo+beDm+VnZrSPHivapsufm7UtZ5rRLRyNE0BYNs6urCkRlvlEVmWiIxUHJ26991UqOtLRSMUJuehKycrjFUGZ5HqJ83v2MwJxpszqmi3zeuaY9Qu7J0RjRS464tHcqoh0peOsrllmZGLPFAmpMrKMowzz6SV2lIqwtCMOttQCYWlLJOypB8LSnljYUJMwa1imVU+Vli9vf1Ge731OXjIS86XtRmTueF50Jkm145j93mYEphmNOWe5LJ9/jLxlzmFypLnlSI4AwjIeS4Tlp6fsIWPjJthWCct43S2/1EUTli6ph4Z3yjeH3pCh8XGZbdblUml5TFtj63DlR9+ekhGW9sTClpogLBuLxKa+jbKt/w3ZbtZcUuk4OcLR+b8RimZ6tTPN2gjH/pE+M5Jx++R9HeWY1KGjBmaoaDSjFVU26v+d+x2zzO0smWmkou6w6f455xipqKMbVVAumLb/lKoktYZlUu0jn/wJICzzj4FNNUBY2hQNO+qCsLQjDrbUIk9hWY3B+t3rjMh8wYjMX1UkphGbL2z7lei6mdWOQ4y4PMKMwnSmleuITHOrUlNnjXBEI4CwjMbLfzbCcqqwvP7mO+Xxp56Xu269Jh7YBFNbJyx1WvglV31lShNt3zm8qMJSIW8cH5Ib9m6U9WYn1xZz/7c758mHOheY/Ug5ohJAWEYlVv7zEZZm82PzT6dNb927xfnb1m/+BrZW7hspqdOuK/83j5vbnYM7nDRxDh2JqMLQFYczjUh071cEZEU4Tt4a8TjlvnlORzomfSAskyZa/PwQlsWPYZItQFgmSbMceSEsyxHHpFpho7Cs1jb9fPdCr5lSbkZhvqS3KjPN7cY9r1f9nKc7lDvyUqeWT0jMw+ctF52pwhFMAGEZr2dkKSx1ZteTG5+MV+EGUuusrRMWn7BPSndKuNe1rTr3k/Kxj5xt1Z4yVgnLb9/zoHz+hjvkvm99WZYtXehAdUFefdlFVoHzRrzIwtJtxzcH35AHhnc4d9/WPl0u7NxPlpo1zzjCE0BYhmfVLGeWVVjqr+a9/Vsd8bjFSEcVjr0TQtL5v3luUlCa+1EPXdh9Xs8Cmds9b3KEoyMaJ0Y5TopIRzpWRj46oxzNG7LubmnrgbC0NTL51QthmR97G0tGWNoYlXzrhLDMl79tpWexhmXabdaNBlVevuCOyJyQma/seLFqPVOCFAAAIABJREFU0frZ7oj5ukbmxIjMiVGZB8xclnZ1rc8fYRkvRFkKy5+u/6mc+venxqtwA6lPOeAUefSPH90nZbU1LG3zblYJy2pGV0XmLbffa+1mPGUQltqDHx/ZI7cObJJ+GXNGWL6nc658uGO+dLe0NvDSaL4kCMvmi3m9FhdNWOq6jRv2rJfNZkr2pr4Nzp/+f+OeDfJG/ybnV/HXdq2t1+zJ53WUokrHud3zZZ75m9tj/t81b1JG6nMLzK/mOvXaPafM04EQlqG7TtOciLBsmlCHaijCMhSmpjoJYdlU4a7b2DIIy1qN1PUxnXUytz3rjMzU/+vGP9XWFdd1vXUquU4rP8yMxFw+72izAdDhjthslgNhGS/SWQrL57Y8J3/+738er8INpD56v6Pl6+//elVh6Z/NrPvK2CQtrRKWCido+rc7TZxNdxrooRGT7BwfkX8a3CqPjOxyUs5pbZfzzRTxd7bPiphT852OsGy+mNdrsU3CcqMKSCMeXQm5ua8iICflpHlON6updeiajEvNdB29VfHoCEgVkc6fikhz6zw+XxZPX1IPT9M9j7BsupDXbTDCsi6ipjoBYdlU4Q7VWIRlKExNc1LZhWW1QK7duWZyfUwdnalrZeo6mbU+tzoS09m9/Ggzzdysk6li00wz72nvKVV/QVjGC2eWwjJeTZNPHTQlXEvRjXdOOm65XPnx85MvtIEcrRKWjLBsIIIpJXlpbEC+MbDZWdtSj8PbuuUPuxbKQa1dKZVY/GwRlsWPYdItyEJY6vRsRzoa4eiMhpwQk66I1Fudtj06Plq1ee3mh4n9zTTsRTOWyJIZS2Wx/k2v3C4y4tG5Nc91tHYkjaip8kNYNlW4QzUWYRkKU9OchLBsmlCHbijCMjSqpjixSGtYZhGQLf2bnenlzmY/k+tk/sr8OL8xsPgWs2PDkpkHmN3KD5dD9c8ITd25/NA5R8gBs5aZZ3VHh2IdCMt48UJYTt10p5rEjEc5XmqrhCVrWMYLZtKpx0yGD5p1Lf95aJv0GdmhE8Pf3TFbfs+MuJzewrY8ft4Iy6R7YPHziyMsB0cHJyVkZXp2RUpu6q+IycpoyY1mmszemqC627sd6ajC0ZWQjpD0yMj9py2UVpZ+SL3DISxTR1y4AhCWhQtZqhVGWKaKt5CZIywLGbbUKo2wDId2z/BuZ8Mf72Y/L5kp5ut2vlr1B3z9vHzI7MMqAtMRmYc7f0eYUZm6TrqtB8IyXmQQlp/eB6BN08G1clYJS60Qu4THe9GlkXq3kZV3DW2Vh4Z3Onv3zjSy8jwjLc8w8rJ4v0OlQaiSJ8IyPbZFzTlIWOoO2Fv6NlemZjvrQk4ISM/ISB0luWOgt26zZ3TMnBz96EpI53ba4sooSfOnm9dw2EEAYWlHHGyqBcLSpmjkXxeEZf4xsK0GCEvbIpJvfRCW8fgPjw3Lul1rZM32l2TNzlfk1Z0vm79XzP9fkvW71lWVmbpLuSsydWSmM0LTrJV58OxDc599hLCM1yeaWVjGI5ddauuEZXZNT66ksmy6U4/IWjM9/BtmU541E9PEDzbTxD/aub8cYm45EJb0gTcJvGgWCNeFwjf2mw9DO9aZD0ETG9kYOakyMswxx6wJqetAuuJRp2pPjpSckJG6QzZHcQggLIsTq6xqirDMinQxykFYFiNOWdYSYZklbfvLatY1LLOKzCvms/saj8RUmalSc82Ol6tW4aDZhzhTynWjn4PnHDopNrNayx1hGa93ICzj8csiNcIyAcrNIiwVlY6w/JEZaXmnmSa+y2zQo8e7zEhL3ZhnRpNPE2eEZQIvpgJloeJxzY6XzLo5Lxgp+bJZQ+fX8sqOF51fausd+09f5Gxeo+tGekdGutO29VdcjvIRQFiWL6ZxW4SwjEuwXOkRluWKZxKtQVgmQbE8eSAs84ulSkt3ROa63a+a6ebPO5/59bN/0NFtNvc5YOayib8D5cBZB8vSmQfKMnO7xNwmJTQRlvH6BMIyHr8sUiMsE6DcTMLSxbVXxuSfzW7i/2nWuNStPHRNyw93zpczO+Y4a10244GwLF/U9w73y697n3M+oLxi5OTLOypy8nnz2MDIQNUGLzEyUncnPHK/I2TZzENkQXdlirYKSf3wwtGcBBCWzRn3Wq1GWNInvAQQlvQHPwGEJX3CSwBhaWd/WLfrVVnryMuXzJTzV52NgNbvWiuv7V4r/cN9VSt98Oy3vCkyZx7kiMwDza1uABT2+wLCMl6fQFjG45dFaiuE5TFnXCy6uOfnb7ijZpuffei2LJhELqMZhaULacPYkHxjcLO8MFrZ+GOZ2UX8D7v2lyPaeiJzLHoChGUxI6i7Z+si3Coj9YPGK2bE5Mvm11L9xbTaLoPaUp2OrevX6DQQHRH5FrNAt7vjYFdblwMjzqY7xaRJrWsRQFjSP/wEEJb0CYQlfaAWAYQl/cNLgDUsi9cftg9sk9ccebnO3L46+f96QrO9td1ZCurAWQeZkZnLnNsDZhw4ITPN/81jeg7CMl6fQFjG45dFaiuEZRYNTbOMZhaWLtdHzW5s/zS0RXonpomf3j5LLjDTxOeYC2mzHAhL+yP9zJan5FfbnpUXzc6B7jqTKiprHc7C2ubvcLNLoP4SqoJSReV+ZmftegfCsh6h5noeYdlc8Q7TWoRlGErNcw4jLJsn1mFbirAMS6o5zkNYli/OW/vfcGSmKzB1hOZ6R26uNbdra87oWjR9sRwy92BZ2GOmmpu1NHU214E6Dd2M0NQ1NTnqE0BY1meU9xlWCUsdaXnrdVfI6StXTOHy7XselFtuv1cevvvGvHkFlo+wrGAZHB+Te4Z75d+HtsuIWe2yx0wOP9dME39v51xpszJyyVYKYZkszzi5vb77NWfa9rNbf2kE5TPyq63PyAu9v6qapa4pObnrn+7+pyMnZ1du4xwIyzj0ypcWYVm+mMZtEcIyLsFypUdYliueSbQGYZkExfLkgbAsTyzDtmRL/2YzzdzIS/3bY0SmmRW2zohMFZrV1s9089bdzV2BedCstzhCUzcJ0lvd4bzHrLPZ7AfC0v4eUAhh+chjq+WSq74iTAm3v0NpDTePDcvfm2niz472OxVe3NIpf9y9UI4q+TRxhGX2/VPXmHzOEZKrnRGTq80Iyme3/FL2mBG/QYdOnzhq/rFyzH5vc0ZJ6pv1kfOOlmkd01OpPMIyFayFzRRhWdjQpVZxhGVqaAuZMcKykGFLtdIIy1TxFi5z1rAsXMhSr3BL1w55fO3zztqZ7sjMyhT0tc7moLWO2V1z5BDzXWihGakZNPV8bvf81OufdwEIy7wjUL/8QgjL62++U773/UcZYVk/nlad8cRon9wx+IZsMQJTj7e3z5Q/6NpP5rWUc5o4wjK97jduRuy+uuOVymjJCUGpt2t3rjHP6N71U4+ZnbPkyPnHOHLyqAUr5Gi9NX/TO2ekV8mAnBGWmeK2vjCEpfUhyryCCMvMkVtdIMLS6vDkUjmEZS7YrS0UYWltaHKrWK01LPU70ua+TVWnm+uMtKHRoap1n9Exc3IDIGfHc2czoMr6mTpyc8G0/XNrd1IFIyyTIplePrkLS3f0ZL0mBk0Vr5cmq+eZEl6d9LC5UH53qFfuNVPFh8fHpaulVT7YMU/eb6aJd0hLViHKpByEZTKYdw3tdEZJeuXk82Y6d9Aue21md/pDzIY3KicdKWnkpIpJ/ZXQhgNhaUMU7KkDwtKeWNhSE4SlLZGwox4ISzviYFMtEJY2RSP/uiAs84+BbTWIs+mOCs2NezZMCs3KOprrJkZrrpUNu9fL8MTAo6B2d5sp5Y7IdP50QyBXZpqNgozc1DU2Wyz/vo+wtK1H71uf3IWlt0rV1rC0HSPCsn6EtpnNeG43oy0fH9njnLywtUMuNruJv7Utnam49WuU/BkIy+hM+4b2yOObfipPbX7c3P5MnjNrTlbbmVunJaiUPGb/t8nyuUfJkQuOleP2PzF6oRmmQFhmCLsARSEsCxCkjKuIsMwYuOXFISwtD1AO1UNY5gDd4iJZw9Li4ORUtTjCMkyVdRRmZYr51B3O3Sno9fLQNTMPnHmw2en8wMn1NHXXc5Wcy2YdXC956s8jLFNHHLsAq4Rl7NbklAHCMjz41Waa+D8acanrXOrx9vYZ8lud8+TQ1u7wmVh6JsKyfmBWv/ELeWLzY/L0G0+K/l9HUQYdx+53nCyfd5Qsn3+0rDD/P8KsM6m/0hXtQFgWLWLp1hdhmS7fIuaOsCxi1NKrM8IyPbZFzRlhWdTIpVNvhGU6XIuca9rCsh6bym7muqv5m5sB6e7m+rjKznrHkhkHOBsB6a3udL5k+lJze7CzMdChc46olzz28wjL2AhTzwBhmQBihGV0iN81U8T/dbBX9sqYk/jYtmnyu2ZH8SMKvDEPwnJqP9ja/4Y8tvFRIyefmBxFOTAyMOUknb598uJT5YRFK51f3mZ3znY2xCnLgbAsSySTaQfCMhmOZcoFYVmmaMZvC8IyPsOy5YCwLFtE47UHYRmPXxlT5y0s6zHV/Qbc3c3X73lN1pn7uiGQCs2Ne16vl1zmdM9zZOYSIzD1Vr8vLplp7k83f+Y27ihNhGXdEOR+glXCct3rm+WsCz9dFQq7hOfeXxKtgMrK+4e2y33DO6RvfNTJ+2gjLs8xIy6PMbdFO5pdWD624f/Ik2b05C82/1ye2PTYPm9C0ztmyEmLT5ETF71dTjJ/Jy5+u+hizmU+EJZljm70tiEsozMrewqEZdkjHK19CMtovJrhbIRlM0Q5fBtZwzI8q2Y503ZhWS8Or+58xYzQXGtEpplybkZq6jqarxuxqaM2w4zQ1Pz3n77ImWK+ePqSSZm52MhMlZs6UlMfr3YgLOtFKP/nrRKWq879pHzgPafKqSceI5/767+b3BX8vEuulXPOOl0uOOfM/IkF1IARlvHCMjg+Jg+M7JB/M/Jy94S4XG5GWv6OEZcrCrTGZTMJy+d7n5NfmmndT276uTOCUqd4+w/dDOfEhSuNmDzFEZRHmw1xmu1AWDZbxGu3F2FJf/ATQFjSJ7wEEJb0Bz8BhCV9wksAYUl/8BMourCsF9GNfRucQTAqLzeaTYA29Jk/c6t7Hqjc3Ny/qV4WzvMqLytS04zU1BGaZrSmbtL6kRPPDZWek/IjYJWwdDfdWbZ0f7no0i9OCkvdSdwrMPPDFVwywjKZiAyaXcQfNKMt/21ku+wYG3EyPaytW84xu4ofb9a6tP0oq7DUXbuf2PgzZ+1J3Rzn5xselT3Du/cJx9uXnCYnGEG5csk7zDTvU0Q3yWn2A2HZ7D1gavsRlvQHhCV9oBYBhCX9A2FJH6hFAGFJ/2g2YRkm4u70ch2ZuWHPekdwqtTcbKSmjtrctndL1WzGrxkPUwTn5EjASmF5+soVovLSnQKuwvKSq74yeT9HXoFFIyyTjciwjMsPhnfK94Z6pdfsLq7HW1q75JyuBXKixSMuyyIs+4f75NHXfyyPvP6QPPLaD83O3av3CfB+0xY6UvLkRac6U7t1mjfHvgQQlvQKLwGEJf0BYUkfQFjSB6IQYIRlFFrlP5c1LMsf46gtLPsIy6g8qp2/ZsfLsrGvMlLTkZpGaO4a3iX3XPD/JlUE+aREwCphqVO/TzpuuVz58fPF+//rb75Tvvf9RydHXKbEouFsEZYNo6uZcMSIy4fMheS7Q9tk64S4PGhixOXJZsRlSzrFNpxrkYXlzzb8RH68/ofyk/UPia5F6T9W7H+8kZOnyMrF75DjFp7kDKHnqE8AYVmfUTOdgbBspmiHaytTwsNxapazGGHZLJEO306EZXhWzXAmwrIZohytjQjLaLz8Z7OGZTx+WaS2Slj6G6yjLN3jvm99WZYtXZgFk8hlICwjI4uUQLfj+bEZcXmv2Vl889iwk/ZAHXFp1rhc2T5TWiPllt7JRRGW40YE/2rrM87oSR1F+dPXH5G+4T1TwBw+90g5/cAz5J0HvltOO2BV6TfHSatXICzTIlvMfBGWxYxbmrVGWKZJt3h5IyyLF7O0a4ywTJtwsfJHWBYrXlnUFmEZjzLCMh6/LFJbLSyzAJBEGQjLJCjWz2PMnPKTkV3yr4O9snF8yEmwpLVTPmjE5TvaZ+UuLm0Wljr8/eF1/zkxzfuhfdby0N3TTjvwXXL6AWfIqgPPdHZb44hPAGEZn2GZckBYlimaybQFYZkMx7LkgrAsSySTawfCMjmWZciJNSzLEMVk24CwjMcTYRmPXxaprRKW7qY7uoZlkQ6EZbbRUnH5M7Ppy7+aEZevjQ06hS9q7ZAPms15Tu+YnZu4tElYbh/orYygNNO8dar32p1rpgRpVudsOXXpO50RlO80ovKwucuzDWKTlIawbJJAh2wmwjIkqCY6DWHZRMEO0VSEZQhITXYKwrLJAl6nuQhL+oOfAMIyXp9AWMbjl0VqhGUClBGWCUBsIAvd0+vnI3vkHiMu144OODnsZ8Tl2R1zZVXHHGlrIM84SfIUlnuH++WnGx4xgvIhR1A+t+WXZuL3m7uedbV1yUlmDcrTJqZ5v23/E6StJWtCcegWMy3CsphxS6vWCMu0yBY3X4RlcWOXRs0RlmlQLXaeCMtixy/p2iMskyZa/PwQlvFiiLCMxy+L1FYJS91o55yzTpcLzjkzi7YnVgbCMjGUDWf05GiffGdwq7wyMeJyfku7nN05X87omCXtGW3Pk6WwHB0flV9s+vnkCMonNz0mQ6OVafJ6tLa0yjH7vU3eecC7nBGUJ5vNcnraexrmS8LGCCAsG+NW1lQIy7JGtvF2ISwbZ1fGlAjLMkY1XpsQlvH4lS01a1iWLaLx24OwjMcQYRmPXxaprRKW617fLBdd+kVrdwOvFhCEZRZdNVwZT48YcTm8TV6cGHE5z4jL3zJrXL67fbZ0qlFM8UhbWA6bDYd0Hcp/e/keeeCV78mOwe1TWnPInEPl9KVnmM1yKtO8Z3fNSbG1ZB2GAMIyDKXmOQdh2TyxDttShGVYUs1xHsKyOeIcpZUIyyi0yn8uwrL8MY7aQoRlVGJTz0dYxuOXRWqrhKV3V/Cgxj/70G1ZMIlcBsIyMrLUEzwz2i93D22T50f3OmUdYHYVP75turzLrHG50EwbT+NIS1g+sObfHEl5/8v3yh6zdqd7zOtZ4GySc9rSVXLGQe+RA2YuS6NZ5BmDAMIyBrwSJkVYljCoMZuEsIwJsGTJEZYlC2gCzUFYJgCxRFkgLEsUzISagrCMBxJhGY9fFqmtE5a3XneF+Dfd+fY9D8ott99r7chLhGUWXbWxMlRYfmeoV1abKePucXTbNDnTiMtT2mc2lmmVVEkJy8HRQfnh2gfkey/dLf/56n2ye2jXZIkqJc869IPy/rd8UE5ecqqZ7J7uqNFEATVhZgjLJgx6jSYjLOkPfgIIS/qElwDCkv7gJ4CwpE94CbCGJf3BTwBhGa9PICzj8csidSGE5SOPrZZLrvqKMMIyiy5RzjK2jo/Ig8M75EfDO2WHWf9Rj5lm05l3ts8y8nKOs8t43COOsBwYGZAH195vRlJ+R/5zzX3SN7xnsjq6g/f7JyTliv2Pj1tN0mdIAGGZIewCFIWwLECQMq4iwjJj4JYXh7C0PEA5VA9hmQN0i4tEWFocnJyqhrCMBx5hGY9fFqkLISyvv/lO+d73H2WEZRY9ouRljJn2PWl2Fv/hyE7R9S7dfbSPbOtxpou/3Yy67Ghw1GJUYak7e+sIyu8ZSamyUu+7h4rJs95ytiMqD597ZMmjUt7mISzLG9tGWoawbIRaudMgLMsd36itQ1hGJVb+8xGW5Y9xlBYiLKPQao5zEZbx4oywjMcvi9S5C0t39GS9xgZNFa+XJqvnmRKeFelky+k1oy5/aEZcPmT+9P96TDejLk830vI9nXNkcUtnpALDCMv+4T6prEn5HfmBmfY9MFJZY1N39T5p8SlGUn5QfuvQc2TpzAMjlc3JdhJAWNoZl7xqhbDMi7y95SIs7Y1NHjVDWOZB3e4yEZZ2xyfr2rGGZdbE7S8PYRkvRgjLePyySJ27sPQ2UjfdsU1MVhOq3unpCMssump6Zeioy6d11KURl0+ZtS4rE8ZFDmvrljPN7uJvN9PGu0LsMF5NWPYN7ZH713xX/u2l78jDr/2nkZQDTv4dZhr6qUv/y8SalGfLgmn7p9dIcs6FAMIyF+zWFoqwtDY0uVUMYZkbeisLRlhaGZZcK4WwzBW/dYUjLK0LSe4VQljGCwHCMh6/LFJbJSyzaHDUMsKsn4mwjErV3vN3uqMuR3bJlrFhp6LTpFXe0THTWetymdltvNrhFZa6Uc79r3zX2Tjnx6/9QHQjHT2627tl1YG/4UjK977lAzKrc7a9MKhZbAIIy9gIS5UBwrJU4UykMQjLRDCWJhOEZWlCmVhDEJaJoSxFRgjLUoQx0UYgLOPhRFjG45dFaoRlHcoIyyy6oX1l6NqWz5jRlj8woy6fMKMv3VGXbzHCUte6PM0Zddk6peJ9w7vl/2y6X7751LecXb7dY1rHdDnz4PeZqd6/I2ce9F7R+xzNQQBh2RxxDttKhGVYUs1zHsKyeWIdpqUIyzCUmuschGVzxbtea1nDsh6h5nseYRkv5gjLePyySG2dsFx17idla+/OwLbnsUt40JRwfz0YYZlFV82vjN1mV/GHzSY9PzSjJjeNDzkV6TajLk81oy7fbUZdbn/jafn2c7fJd164c3K695yuufK+Q8+Wsw75bfmNQ96fX+UpOVcCCMtc8VtXOMLSupDkXiGEZe4hsKoCCEurwmFFZRCWVoTBmkogLK0JhTUVQVjGCwXCMh6/LFJbJSzPu+RaWbJovnz12k9k0faGytA66nHXrddMpt/dX5k6zFF+As+Ynbz/Y2C7/GjXenntpXtlwwv/Iv07XnEartO9/+CtfyAfPOzDsuqgd5UfBi2sS6C7s01Gx8ZleERXSo1/jI+PS0uI9VTjl0QOaRBobW2RHtMn+gYqm3xxQKCnq12GRkZldFTH9dt3jJnrl/ZbjmwItLW1SGd7m+wd5BqRDXH7S5ne0y79A6Oi7//NcJhLjtmIshla2lgbVz/9pPRu2yqr3v2bjWVAqtIRmDmtQ3ARjYdV+XHYTcAqYWnjpjv+8AVNEd+9lw+Wdnfz5Gr3yGs/ktue/nu594W7J0dTzpi3XBYfca4ceNhvy+/OO0hWts2U5R09yRVKToUl4AjL0TEZTkhGjI+NSUvr1KUICgunCSuuX8JUUCEsmzD4VZo8ratNhobHZES/pVt4ICyzDUq7uUh0dLQaYekuRJNt+ZRmH4EZ3UZYGoFt6SUicWDjpqEtGMuqXDvbWx2hO2DeNzggoARmmh81cBGN9wXlx2E3AYRlxPgECUumhEeEWLDTtw/0yl2/ul2+9ew/yis7XnRqP71jhpxzxO/J7x/zh9Iz/2j5kdmk5/+Yv6GJX8Cnt7TJie0zjLycLsebW47mJMCU8OaMe7VWMyWc/uAnwJRw+oSXAFPC6Q9+AkwJp094CbDpDv3BT4Ap4fH6BFPC4/HLIrVVwlKnW59z1ulywTlnZtH2UGVcfs1NcvmffliWLV3onK9rbJ6w4vAp09YRlqFQFuqkcRl3dvdWSfnAmu/J0Ghl7crj9j/RkZTnHnG+9HRMm9KmARmTX3cOygO7euXpkb7J53RznhOMuDzJiMvjza1/s55CgaGykQggLCPhKv3JCMvShzhyAxGWkZGVOgHCstThbahxCMuGsJU2EcKytKFtuGEIy4bROQkRlvH4ZZHaKmGpoxc/99d/Jw/ffWMWbQ9VxvU33ym33XX/5LnHLj9kyvqV+gTCMhTKQpy0tf8N+SezgY5uorNu16tOnWd1zpbfWX6eXHTsR+Wo+cdWbYcuLbhobo9s7N0r/UZe6u7iPzM7h68e7ZcRI0D16DQnHds6TU42G/aowJxmNu/hKC8BhGV5Y9tIyxCWjVArdxqEZbnjG7V1CMuoxMp/PsKy/DGO0kI23YlCqznORVjGizPCMh6/LFJbJSx1DctaRx67hIcJAsIyDCV7zxkbH5MfrP0P+SczmvLBtfebtcQqa5KeuOjt8gfH/JH89uEfkp72+mtSeoWlt7UDJv/HR/fIYyovx/onp423mZOOajPysn2m+Zsus1tYQ8PeXtJYzRCWjXErayqEZVkj23i7EJaNsytjSoRlGaMar00Iy3j8ypYaYVm2iMZvD8IyHkOEZTx+WaS2Slhm0eA0ykBYpkE1/Tw39m1wJOWdz31TNuxZ7xQ4p2uufOjI35ePrPgTOXTOEZEqUU1YejMZNPLyCTNd/LHR3fLUaJ8MT6x5qRsiHt7WIye3mXUvzejLBcjLSOxtPRlhaWtk8qkXwjIf7jaXirC0OTrZ1w1hmT1z20tEWNoeoWzrh7DMlncRSkNYxosSwjIevyxSIywToIywTABiRlmMjo+aNSn/zRGVD637vtl1sbLL3ilLT5cLzWjKDxx6rnS2dTZUmzDC0i8vf2Gk5WMju0Vv3Q179JyD27qNvJzujL5c2tpYfRpqBIkSJYCwTBRn4TNDWBY+hIk3AGGZONJCZ4iwLHT4Uqk8wjIVrIXNlDUsCxu61CqOsIyHFmEZj18WqRGWCVBGWCYAMeUs1u9eJ//7mb+Xu359h7zRt8kpbV7PAvnw8gudtSkPmXNo7BpEFZbeAlVW6ojLnxl5+ZQZgakb+LjHEiMsnWnjRmAeYkQmR3EIICyLE6ssaoqwzIJyscpAWBYrXmnXFmGZNuHi5Y+wLF7M0qwxwjJNusXMG2EZL24Iy3j8skhtnbDUncKfeX6N0/Zbr7tCTl+5QnRty99cddKUnbmzgBO2DIRlWFLZn/fEpsfkhp9/yVmj0j1OO+AMZ23Ks83alEkecYSltx7DZoMe3WVc5eWTPnmpU8VPMlPGV5qp40eYKeQ6lZzDXgIIS3tjk0fU4WO8AAAgAElEQVTNEJZ5ULe7TISl3fHJunYIy6yJ218ewtL+GGVZQ4RllrSLURbCMl6cEJbx+GWR2iphqbJyyaL5jphcde4n5Quf+agjLL99z4Nyy+33WrV7uDc4CMssumq0Mn782g/kq0ZU/mzDT5yE+01bKL935B84074Pmn1ItMxCnp2UsPQX94ROGzcb9jxudh33jrw8pLVLFprRl28zG/YcZzbvmcW6lyEjld1pCMvsWBehJIRlEaKUbR0Rltnytr00hKXtEcq+fgjL7JnbXCJrWNocnXzqhrCMxx1hGY9fFqmtEpY6kvK+b31Zli1dOEVYPvLYarnkqq8Iu4Rn0SWKXcYP1z4gNzz+1/L4xp86DVk0fbF8/IT/ZkZU/rF0t6c7nTotYelGZMSMvFztbNjTZzbu2SN9Zj1O77HMCMwVRlyuaJ8mR5rbDsZf5t6ZEZa5h8CqCiAsrQqHFZVBWFoRBmsqgbC0JhTWVARhaU0orKgIwtKKMFhVCYRlvHAgLOPxyyK1VcJSR1Xe8bXP7iMsGWGZRVcodhnff/Xf5YbHviRPvfGE05AlMw6QPz/xCrng6Iulq60rk8alLSy9jdAVLl8eHZBnjLx8drRfXjT/V6HpHh2mMke2TpO3GnF5rBGYKjM5sieAsMyeuc0lIixtjk4+dUNY5sPd1lIRlrZGJr96ISzzY29jyQhLG6OSb50QlvH4Iyzj8csitVXC8vqb75Tvff9RZ+q3OyV82dL95awLPy0Xn/c+ufLj52fBJHIZTAmPjCyRBONG0N338r3OiMpntzzt5HngrIPkEyd8Ss47+iPS0dqRSDlhM8lSWPrrNGh2O39+bK88M9Ivz5jbtUZgeo85LW1yrNm0561GXr7N3M4w9znSJ4CwTJ9xkUpAWBYpWtnUFWGZDeeilIKwLEqksqsnwjI71kUoiTUsixClbOuIsIzHG2EZj18Wqa0Sltpgd/q3t/FXX3aRXHDOmVnwaKgMhGVD2BpONGbk3Hdf/Be58fEvy/O9zzn56C7fl554pXzoyAulLScZl6ew9MPcbaaL68jLZx2B2S9vjA1POeUgs9v4W80ITB19udxs3sP08Ya7Y82ECMt0uBY1V4RlUSOXXr0RlumxLWLOCMsiRi3dOiMs0+VbtNwRlkWLWPr1RVjGY4ywjMcvi9TWCcssGp10GQjLpIkG56ei8u4X7pS/+fl18vKOF5yTDp1zhPzXk6+Sc484X1pbWrOpSJVSbBKW/ipuHR9x1r981shLHYWpQtM9Ok3Fj9K1L43A1PUvD2D6eGL9CGGZGMpSZISwLEUYE20EwjJRnIXPDGFZ+BAm3gCEZeJIC50hwrLQ4Uul8gjLeFgRlvH4ZZHaKmF5+TU3yQMPP77P5jq6Gc9vrjrJ2T3cxgNhmW5URsZG5J9//b/lpif+h7y68xWnsOXzjpZPnvRp+e3Dfzd3Uem23mZh6Y2QrnS5bmxwcvTlr0f3ik4pd495ZrfxY83O4+4IzJk5jVhNt1dlkzvCMhvORSkFYVmUSGVXT4RldqyLUBLCsghRyraOCMtsedteGmtY2h6h7OuHsIzHHGEZj18Wqa0Slrpu5cc+cvY+07/ZdCeLrmBfGcNmGvO3n/umfN2IyvW71zkVPHrBW+Wykz8j7z/0g2YP7BarKl0UYRkETaXlM2YKuW7ioxv4eA8VmLNa2+WI1m7z1yOHmenk+2W8PqhVgY5QGYRlBFhNcCrCsgmCHLGJCMuIwEp+OsKy5AFuoHkIywaglTgJwrLEwW2waQjLBsFNJENYxuOXRWqrhKWOpLz1uivk9JUrprTdXdfy2Yduy4JJ5DIYYRkZWc0EAyMD8q1n/0FufvJ/ysa+Dc65b93veLls5V/Iew/5QLKFJZhbkYWlF4OOtnxO5aXZvEfXwHzNjMb0H3PNqMsjzNqXhxmBeUR7jxxsppG3WyaQEwxtw1khLBtGV8qECMtShjVWoxCWsfCVLjHCsnQhjd0ghGVshKXKAGFZqnAm0hiEZTyMCMt4/LJIbZWwZIRlFiG3t4y9I3vl9tV/K7c8daO80bfJqegJC082Iyr/Qs48+H32VnyiZmURln7Q/TImL5jYvDw2IC+Z0Zd62+dZA1PP13UwDzEjMA+fEJjLzf/ZiVwEYWn9yzbTCiIsM8VdiMIQloUIU2aVRFhmhrowBSEsCxOqTCrKGpaZYC5UIQjLeOFCWMbjl0Vqq4SlTv3+/A13yH3f+rIsW7rQaf+61zfLWRd+WmzeKZwRlvG6av9wn/zDL2+WW5/6G+ndu9XJbOWSd8jlRlT+lwPt3R3e3+qyCsug6G4cG5IXjbh82Uwlf8mMwHzNiMw3t/GppFhkpo27IzAPNwJTN/PJd1ukeP20kdQIy0aolTcNwrK8sW20ZQjLRsmVMx3CspxxjdMqhGUceuVLi7AsX0zjtghhGY8gwjIevyxSWyUstcHu9G9v44OmiWcBJ2wZCMuwpKaet2top/z9U1+Xv3v667JjcLvz5GlLV8knV37GuS3a0UzC0h+bYRmXV3T0pfl7yUwl13Uwe83O5N6jx+jKw8w08iPMGpiHmz/9vz5W5gNhWeboRm8bwjI6s7KnQFiWPcLR2oewjMarGc5GWDZDlMO3EWEZnlWznImwjBdphGU8flmktk5YZtHopMtAWEYnqjt+/83j10nf8B4n8ZkHnyWXnvgpOXnxqdEzsyRFMwvLoBDsNMLyBRWYzjTyvfKKGYnp3Y1ct0w60Iy6VHl5uIpMM518Yck280FYWvLitKQaCEtLAmFRNRCWFgXDgqogLC0IgmVVQFhaFpCcq8MaljkHwMLiEZbxgoKwjMcvi9QIywQoIyzDQ/zRaw/KZx++XNbseMlJ9BtGVF6+8rNy3P4nhs/E0jMRlvUDs8YZgTngyEv9v39DH5WXnWbUpU4nX2Jk5kHm74DWTplpNvkp4oGwLGLU0qszwjI9tkXNGWFZ1MilU2+EZTpci5wrwrLI0Uu+7gjL5JkWPUeEZbwIIizj8csitXXCUjfe2dq7M7Dt7BKeRZdIp4wNe16Xv/zRFXLfK/c6BRw8+y3yhVVflTOWvSedAnPIFWEZHfqA2ZFcBeaLZi1MnU7+qvn/dt+GPprrrJZ2R1w6f21dcmBL5Xaa5VPKEZbR+0SZUyAsyxzdxtqGsGyMW1lTISzLGtnG24WwbJxdGVMiLMsY1XhtQljG5xcvB1KnTcAqYXneJdfKkkXz5avXfiLtdieaPyMsq+McHB2U//XEV+SmJ78iA2an6Wkd083U7yvlY8dfJp1tnYnGIe/MEJbJREB3JV9r+s063czH/K0z/39tfFCGxsf3KWCeIzK7ZKnpSyoxl07IzK4WO9bGRFgm0yfKkgvCsiyRTK4dCMvkWJYhJ4RlGaKYbBsQlsnyLHpurGFZ9AgmX3+EZTymjLCMxy+L1FYJy2POuFhs32AnKCgIy+Cu+h9rvif/94+vknW7XnVO+MBh58q177xeFk1fnEXfzrwMhGV6yFVVbjI7k7/m/L0pMzePDQcWup+ZUn6AjsLUKeVGZur/VWZ2iK6cmd2BsMyOdRFKQlgWIUrZ1hFhmS1v20tDWNoeoezrh7DMnrnNJSIsbY5OPnVDWMbjjrCMxy+L1AjLBCgjLKdCXLtzjVz1w0/II+t/6Dxx6Jwj5Lp33SSnLD09Adr2ZoGwzD42uonPOiMx15kRmBvMSMw1Rmbq6MwBM0oz6NC1MVVirmibbtbI7JBOMxJTR2amNSITYZl9n7C5RISlzdHJp24Iy3y421oqwtLWyORXL4RlfuxtLBlhaWNU8q0TwjIef4RlPH5ZpLZKWOqU8HPOOl0uOOfMLNqeWBkIywrKvcP98tWff0m+8fTXZGh0SGZ0zJQrVn5O/uhtfybtre2J8bY1I4SlPZHZanYoX2/Epa6J6Y7KfN2IzWrHHNM/F7d0mM1+OmWJEZiLzKhMvb/Y3I9zICzj0CtfWoRl+WIat0UIy7gEy5UeYVmueCbRGoRlEhTLkwdrWJYnlkm1BGEZjyTCMh6/LFJbJSwfeWy1fO6v/04evvvGLNqeWBkIS5F/feGf5f/5yV/Ixr4NDtffXX6BXP2OL8j+0xclxtn2jBCWtkdI5FXdmXx8SF43Qv11Mxpzo5lSvtHcr3UsMgJzsRmNudSMzFyoYtPc6ujM2Wb9zHoHwrIeoeZ6HmHZXPEO01qEZRhKzXMOwrJ5Yh22pQjLsKSa4zyEZXPEOUorEZZRaO17LsIyHr8sUlslLHUNy1oHu4Rn0SWilfHS9uflUz/4M/n5xkedhEcvWCFfWnWjnLT4lGgZleBshGUxg6iTx99QcTkhMHWtzI3jlftBO5a7rZze0iaLJkZhqtDU0Zk6InOJ+XPXykRYFrNPpFVrhGVaZIubL8KyuLFLo+YIyzSoFjtPhGWx45d07RGWSRMtfn4Iy3gxRFjG45dFaquEZRYNTqOMZhxhuWd4t1z302vltl/eKqPjozKna65cecpfykeO/RNptWSH5jRiXStPhGXWxNMvT9fIfH1CXm6aGI252YzOXG9GZQbtWu7WSHcvV3F5cFePvL19ugwMj0m72fBnnhGbC0KMzEy/ZZSQBwGEZR7U7S4TYWl3fLKuHcIya+L2l4ewtD9GWdaQNSyzpF2MshCW8eKEsIzHL4vU1glLnRZ+yVVfmdJ223cObyZhOS7jctdzt8uXfnqNbO1/wyiYFrngmIvls6f+lcztnp9Fn7W2DISltaFJpWK9Zp1MHY25wYjMzeb2dSMxN5pbHa1Z79A1M+cbhTnHjNJUiamCc555bK7emr+4a2fWK5/n8yGAsMyHu82lIixtjk72dUNYZs/c9hIRlrZHKNv6ISyz5V2E0hCW8aKEsIzHL4vUVgnLb9/zoHz+hjvkvm99WZYtXei0f93rm+WsCz8tV192kbWb8TSLsHx26y/lUw9+XH655RdObFbsf7xcf8ZNzi2HCMKSXuASWD8xvXxnx6hsHDYS0/z1yqj0jo3ILiM6wxw65Xy+kZdzjchUien8f0JsVgRnh0yT1jBZcY4lBBCWlgTComogLC0KhgVVQVhaEATLqoCwtCwgOVcHYZlzACwsHmEZLygIy3j8skhtlbBcde4n5WMfOXsfMaki85bb77V2M56yC8vtA73yxUf/u9z53DdlzEyRndezQP7ilGudkZU6wpKjQgBhSU/wEwhaw3LUnLTdSMteMxJTR2mqxNwmU+/vNI/refWObiMsdWSmKzDdkZrzxIzcnJCaM4345LCDAMLSjjjYVAuEpU3RyL8uCMv8Y2BbDRCWtkUk3/qwhmW+/G0sHWEZLyoIy3j8skhtlbDUTXeCpn+708TZdCeLLvFmGSonb3/mG3L9T/9KdgxulzYjPi469qNy1SnXyOyuOdlWpgClISwLEKSMq9jopjvjpp47jMjsdUTmyITgNP9XwWnW1HSEp/mrtY6m29RO0zHdqeaVWzMFfVJyVkZtzjF/jNVMv3MgLNNnXLQSEJZFi1i69UVYpsu3iLkjLIsYtfTqjLBMj21Rc0ZYxoscwjIevyxSWyUsGWGZRcjDlfHk5p8707+f733OSaC7fuvu37oLOEcwAYQlPcNPoFFhGZbkHrPh1TbvaE1zvzJqc0JqGtm5V3Qf9NqHjsGc7ZluPl/X1TRrbLpiszIVvcOM2+SIQwBhGYdeOdMiLMsZ10ZbhbBslFx50yEsyxvbRlqGsGyEWrnTICzjxRdhGY9fFqmtEpasYZlFyGuXoRvpXPvIZ+TuF+50Ttx/+iL53Ds+Lx9a/vv5V87yGiAsLQ9QDtVLW1iGaZLudL7FjMrcoXJzQmRu84zeVMGp4jPMMcuIy/3N6My3tk2fPF0l5gzz+IyWVtHp5zPMn97qlHSOqQQQlvQIPwGEJX3CSwBhSX/wE0BY0ie8BFjDkv7gJ4CwjNcnEJbx+GWR2iphqQ1ml/Aswh5cxn++ep9c+sAfya6hndJupMQfve3P5FMnXy3TO2fkV6kClYywLFCwMqqqDcIybFM3uaMyjdx019Z0R2vqrQrPqEeXkZgzzGTzGeZ6MtPczmw1QtOM05xlhKZuKuRKzpnmMVd0dps0ZT0QlmWNbOPtQlg2zq6MKRGWZYxqvDYhLOPxK1tqhGXZIhq/PQjLeAwRlvH4ZZHaOmGZRaOTLqMMm+5c/aP/Jv/4y1scNDr9+3+8+3/J4XOPTBpVqfNDWJY6vA01rkjCMkwDtxpxuV13OjdbAu02t3vMbZ8ZwbnLyEwdpbl74m+P81i43dCDyp3jjNI0ktPcdpuNvaaZ2x4jMlVydpsXWo8RnD3mVndJ75l4rvJ/I0ct3mQIYRmmlzXXOQjL5op3vdYiLOsRar7nEZbNF/NaLUZY0h/8BBCW8foEwjIevyxSIywToFxkYfnyjhfkT/799521KlvNl/0/O+G/yZVv/0tnhCVHNAIIy2i8muHssgnLqDHrN+tn7h4zItOIzT3mVgWn3t+jjztT0fW2IjudP/N8mI2E6tVDd09Xoaky05Wa0ybu6wjO6eZ5PWea+b9zjudc93kdHZr0gbBMmmjx80NYFj+GSbYAYZkkzXLkhbAsRxyTagVrWCZFsjz5ICzjxRJhGY9fFqmtEJbu2pVXX3aRXHDOmVPaXeu5LACFKaOowvLO574pV//4Ctk73C/7TVsoX3/vbXLa0lVhmsw5AQQQlnQLP4FmF5aN9Ahdc3O3IzpHpM/c9pv7e43M3Cvjzq1zf/Jx87yRnHudcyrnDoTYZChsvZwRnRMjPCtys/I3bdwIT72dEJ7OYxMjPN8c9dnibGTkPRCWYck3z3kIy+aJdZiWIizDUGqucxCWzRXveq1FWNYj1HzPIyzjxRxhGY9fFqmtEJbnXXKtLFk0X7567ScC23z5NTfJhk3b5K5br8mCSeQyiiYs+4b2yBU//Lh898V/cdq6atlvyE3v+QeZ17MgcttJ8CYBhCW9AWFpRx/QkZ0VgVmRma7I7DP3BxzxWXnOKz8HzH0VpAPj5vmERnq6NHRqu8pNndo+q71dWkfGpbu1MspTxafedpkLSOXWfbz6fTsoU4skCCAsk6BYnjwQluWJZVItQVgmRbIc+SAsyxHHJFuBsIxHE2EZj18Wqa0QlseccbHcet0VcvrKFYFtdjfiefah27JgErmMIgnLX77xpPzp/RfKa7vWSldbl9kB/Avyx2ZzHY74BBCW8RmWLQdGWBY7ojpd3TvCsyJC35SgQ0Z+6tR2lZyOHHVHfk7cqiBN43CnvHeZtTwr4tPITSM6uyYFaGU6fIcpvN1cmDrM4zrWs9Oc0z5u7pvH2k0afa7T3HZM/F8f6zDnaDq91XM79cLGkRoBhGVqaAuZMcKykGFLtdIIy/+/vfuBsqMs7zj+JpuQlT8GAkgERMGWnAZQizFqCw2KYPgjJ0RPE4rBlMoJsdhAMchRSorFIgYEFA9EOacxFk2ONI0pmhAETA9HBAJqEVrwWJQKBogcgwES8q/zvDPv3dnh7r1z531n5n3nfteDu3t33vd93s9zc3f3t3Pnlsob3ORcwzK4lpVeMIGlHTGBpZ1fFaMJLB0ohxJYLvnJDeqq+y5X26NXA37rvkeqm6YvU0cd8DYHAkwhAgSW3A+yAgSW3CfkKe76Keujdqlt0X9jXzdGbdyyLQo5JfjcrbZF4aY5Rt7LGaDyNXmf/Vyu81nXm4SkEnRKuDkUeMbh5h46EJUQNA5I5fNsKBqHodExOjCNx5kwtRWQJsGprCFBqRxrxsltZVxXtC5Psy6BZd0d8Gt9Aku/+uFDNQSWPnTBnxoILP3phS+VEFjadYLA0s6vitFeBJbTZi5Qn7/04x3PsPzsF25R61feUIVJz2v4Hli+8MomdcGd56r1T/1A7+2syXPVlX/xJTU4ZrDnvTJgZAECS+4dBJbcBzoJuLqGpQSX23SwGV+zU97rz3fJ51HYmQShcgbo9ui/HdHn5v2r0fHx5yo6creSz+Xj7dEcO1LHbo+OcXk9UJf3DAkudZAZTRqHn0mwmQo808GqPltUgtXMGabmmLZnmEah60A0ZrQOTpUakPfRf6OjEFU+Hohuk8/Nx0XDVAJLl/eM8OcisAy/h653QGDpWjTs+Qgsw+5fGdUTWNqpElja+VUx2ovAcvFNy9WGnz4+4jUqu13jsgqoTmv4HFg+8MyP9FPAn3/5WfX6Pcar6z7wNTX9iA/VTdbI9QksG9lWq01xhqUVX+MGuwosq4aRV27fLkGnDkCHwk35eEcSdMbHxOHojlFREBrdrr+eBKRybqicMZoOUPXHSagqAaleQ8ZHx+ogNflYr6HnjFLCAN7k7NBWsJmceSrBprzuvAStA/q/OATdc2BA7ZR97YrC0ej20dEz8EdHn8qxEpbKE/L12CgolY/lNv216Bj5niNzyeej9DHxsfI/mV8fr9/H8w5k55Bjo7Vl3XiczJvUkMyra0iOkTniuZMa5DM9b7KOqU0fFe9naF6pPa5X3mReGSdHctmBoTs1gWUA/8ArLpHAsmJwz5fjGpaeN6iG8ggs7dAJLO38qhjtRWApG5WzLOUtexal3L7phc3K1+tXSs0+BpY7ozNwrrn/SnXjQ4vVruiXvWMnTlVLpv+rOnjvQ6u4X/XlGgSWfdn2jpsmsOQ+kRYINbD0rYtyrVAJNuUM0vhs0aGzRuMAdOis0VaIKrfrMRK8StBqjotDWAlF5VjzsZx9Kp/vSkJT+VzmjnJFHTBKACufy8e7AgpTfevlSPXI5QNeE7DqoHR3HJom4eioTMAqwe1AErDK92QdmqYCVBO6jpZj5NioAB3oSoiqg90kANafJ7fJMUnAakLldCjcCpVlJglvh80bB8KtUDmaK64nWVMHzfExUu9gFGDvOW5AbXl5RytsNvuQ46QOE0TrMZka49A5Dofl6/Jmwm8dchMQh/JPoFUngWVwLSu1YALLUnmDnJzA0q5tBJZ2flWM9iawlM3KmZZLV6wdtu+Tp00Z8dXDqwDKs4ZvgeUzW36j5q39qHp44wPRD62j1QXvXKg+9e7Loh/w5Udz3soSILAsSzbceQksw+1dGZUTWJah6t+ccibpzigrkjBTgtFd0cfx+/hzfXt0m4She+01Vr20NXrhpp1RJKpPtJTjRumvSTi6W0LRJCjdndymj4mCp/hr8TxRbqfHytxyHqqMNeN3JfNKTcPnMMfEc8TzmjWT26Ja9DrJvDJ3XE90a2ve6Jh0bdHtu6O9mnBXxku9Zn69VlKvhMi8+SkgobFEnjpe1WFn8p/8sGM+Nl+X93IGroSqSVAqx5igtvWxvn/FZ/Im07RC19acqfklpI1vT2bVZ/kOfS7zm6+PWJM5Qtc2fA/xGchJTUloLAWaMNh0RkJoM39rzeQs56Hbh7vIBvV6Lbvk82QP8S5SrqmP03veZ88x6uWt0b90mSf556LHJTWZPbTG6A3FezWhtf5Y/1vOrJecdT3Ui0xNrT0M74PudaoPuqfJ51JH25qStSU4b/WqnWvKJe2Q7l0sndRgfDM1ZdeIA3szLtwzuwkszb9K3hsBAku7+wKBpZ1fFaO9Ciyr2HAZa/gUWP7gV2vUJ9edq158dbM6aM+J6uborMqpB/9ZGdtmzowAgSV3iawAgSX3ibQAgSX3h6wA17B87X1CnvqvQ9Ik1JUjdEgqAamErvJ5ErDG4Wwc3EpIo0NSHcwm4a/cbELf5LbdqUBYh6h63jjoNfOaQFgHv0lYu1NCWAljzZm2ydytcalAWOrVNehgdmgOWacVKpuQV+8zrleSHgmWtu3c1QqF9XpJzWa/+n0qGDY16iA5FQ5ru1SgTUDMYxACxQTk0hUm8JXAXd66hvj6X6OJpocfnw6r5S9OcQgd15YOzIeF09G/5YHo9Gk5blf0oNcu9E8Hx8NqNEFwOjDPhPjDakofr8PeoT9FjBSY6zB6hD2kA/Oh0Dq+BImpM2+IPywwzwTgw/eQ1J2E+GlX88eUVk+Tu4U5a9/cS9Khv9m3fp/5Y0o2xDd9NJd/MdfCji8JM/xa2PElUuSFBU2k3tt9lMCyN6/s0QSWdn5VjCawdKDsQ2C5bec29bl7L1VLH1mid3TiW05RXz7pFrXvuP0c7JAp8ggQWOZR6q9jCCz7q9/ddktg2U2o/75OYNl/Pe+0Yx+uYRkHxvIWv5dsRr9PnWVrvhrfnnw9OS7+WvxmglT9sbk1CWiHVolD3XjJOHTWH0pIaypJJoyj7GS9pEKzVnx78nVTkxmfhE3pPZjjzdImAI5rjdeQ+CC9BxMYS1IU79tIDe3BrBHvoUNNqX2k12y5J3vYc3BAvbJth76URbua4pDaoMUhuV472UfMOnRMyykJ9of12tSU6rX0IVtTug/xWkN9ifeSWi/lJMF7q1+ZmtK9lmA/XjX1X7v7X6sPr61hWK9TfZB5Q7kesmkr7/tPQM5wH5O8yF/8gn/xNaol2Bx6wb/40iZ7jYmuhb0jCrP1mORFAqN/QWP0Cw0m46KvjY3Gyrz6etqZueQ4fZuM06Fq/PmY6Gj9uf5afB1u/Z8eH88tL1w4GK0V6huBpf+dI7B00KO6A8tfbf5fde73/lI9/sJjatzAOPUPf36V+uu3ne9gZ0zRiwCBZS9a/XEsgWV/9DnvLgks80r1z3EElv3T6zw79SGwzFMnx1QnwDUsq7MeaSVz1rd8XQfBJhRuFwTLMSOE+CMF5kPBbBznmsBcr5daQ9Yd3GNAn2X5h1fkKsptAnM5IzsaZwLfdBCcDukliNafp8Npvb9kztYehv+RQDZn6o1rTUZkQvyR9mAuXxLvLfWHjMR2WEid3DZiYG7+SNJmD0PBePyHg6yr/CHCvA39IWKopiG/+KjhAXi+EF/GyVntcsa9ue61eOlLw+jbRsXvo8+3Dv3Zpv47vGUFEopKOKoD1GguCU4lzhwb/b8JVeWMZfmfCXWx+XwAAB+eSURBVEf1davTIao+PglQ9Txx0Do2msuEqjK3BLattcx6qbNYx5rANrpNxsZ1DK0lZ7USWFo2vILhBJYOkOsMLFf89zJ12X9erF7e/pJ6675Hqq+f+i01acJkB7tiil4FCCx7FWv+8QSWze9xLzsksOxFqz+OJbDsjz7n3SWBZV6p/jmOwLJ/ep1np1zDMo9S+MfItbD1C/tJwBltRwJgfS1s/XkccpprZe/3+j3Uxhe3xtfHjo4zLxpoPtcvGBh9TV5I0MwnLzQoAfh2ueZ2MndrvWRuWc+sJdfdlvl0AJtc2kS/MGE0Vl7oMOSzlu9589vDv8M0fAcElg4aXEdg+dKrW9TF98xX//GLf9M7OPuoc9Xnjr9GDY4ZdLAjpigiQGBZRK3ZYwgsm93fXndHYNmrWPOPJ7Bsfo972SGBZS9a/XEsgWV/9DnvLgks80r1z3G+XcNSwtbh4agJSpMXHZSA1ISnSTgaB6fx11tBaCocNWeo6nnldjkuCVGHgt3khQ6TEDUd2OoQVwJfHdIOP6uVwNL/fysElg56VHVg+eim/1J/8/1Z6v9e/LV6/R7j1XUf+JqafsSHHOyEKWwECCxt9Jo5lsCymX0tuisCy6JyzR1HYNnc3hbZGYFlEbVmjyGwbHZ/e90dgWWvYs0/3rfAMjRxnhLuf8cILB30qMrA8ms/+bK66seXq1d3vqqOnThVLYleBfzgvQ91sAumsBUgsLQVbN54Asvm9dRmRwSWNnrNHEtg2cy+Ft0VgWVRueaOI7Bsbm+L7GyvwTFKfpbY/NL2IsMZ00ABAku7phJY2vlVMZrA0oFyFYHlC69sUhfcea5a/9QPogvMjlZ/N+XT6u+nfia6QK28ZhdvPggQWPrQBb9qILD0qx91V0NgWXcH/FufwNK/ntRZEYFlnfp+rk1g6Wdf6qqKwLIueX/XJbC06w2BpZ1fFaMJLB0olx1Y/uTZDWru9z6iNr38nHrDXhPVTScvU+855DgHlTOFSwECS5eazZiLwLIZfXS1CwJLV5LNmYfAsjm9dLETAksXis2ag8CyWf203Q2Bpa1g88YTWNr1lMDSzq+K0QSWDpTLDCzv+tVaNe+Oj6pXtr+sPnj46epLH1ii9h23n4OqmcK1AIGla9Hw5yOwDL+HLndAYOlSsxlzEVg2o4+udkFg6UqyOfMQWDanly52wjU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" ], "text/plain": [ " Species Diff rate Bin 0 Bin 1 Bin 2 Bin 3 Bin 4 \\\n", "0 A 2.0 0.088838 0.133297 0.213601 0.298979 0.530569 \n", "1 B 2.0 0.355683 0.534950 0.865235 1.262993 1.962279 \n", "\n", " Bin 5 Bin 6 Bin 7 Bin 8 \n", "0 0.298979 0.213601 0.133297 0.088838 \n", "1 1.262993 0.865235 0.534950 0.355683 " ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" } ], "source": [ "bio.react_diffuse(time_step=delta_t, n_steps=500)\n", "bio.describe_state()" ] }, { "cell_type": "code", "execution_count": 25, "id": "ea57722a-3c7f-46c4-9929-c5ac4a879e32", "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "colorbar": { "len": 0.519, "title": { "text": "Conc." }, "x": 1.02, "y": 0.78375 }, "colorscale": [ [ 0, "white" ], [ 1, "turquoise" ] ], "hovertemplate": "Conc.: %{z}
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.system_heatmaps()" ] }, { "cell_type": "code", "execution_count": null, "id": "91c7f7f6-7c63-48e8-8ee5-40212063cb4f", "metadata": {}, "outputs": [], "source": [] }, { "cell_type": "markdown", "id": "276ad0f2-e80f-417c-9ffb-ea205d792670", "metadata": { "tags": [] }, "source": [ "### Let's take the system to equilibrium, in reactions and diffusion" ] }, { "cell_type": "code", "execution_count": 28, "id": "3ba48135-1d19-4a9f-8a52-3ce54c80136d", "metadata": { "tags": [] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "SYSTEM STATE at Time t = 11.16:\n", "9 bins and 2 chemical species\n", "Membranes present: [(4, 5)]\n" ] }, { "data": { "text/html": [ "
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SpeciesDiff rateBin 0Bin 1Bin 2Bin 3Bin 4Bin 5Bin 6Bin 7Bin 8
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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bio.system_heatmaps()" ] }, { "cell_type": "code", "execution_count": 30, "id": "19ad9d52-6446-458e-978b-c430a34b1544", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "A <-> B\n", "Current concentrations: [A] = 0.2221 ; [B] = 0.8886\n", "1. Ratio of reactant/product concentrations, adjusted for reaction orders: 4\n", " Formula used: [B] / [A]\n", "2. Ratio of forward/reverse reaction rates: 4\n", "Discrepancy between the two values: 1.211e-05 %\n", "Reaction IS in equilibrium (within 1% tolerance)\n", "\n" ] }, { "data": { "text/plain": [ "True" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# Check the reaction equilibrium in one of the bins (doesn't matter which one, since all bin concentrations are now the same)\n", "bio.reaction_in_equilibrium(bin_address=0, rxn_index=0, explain=True) " ] }, { "cell_type": "markdown", "id": "f41a1d93-4d8d-45ab-80c1-3200d25093e1", "metadata": {}, "source": [ "### From a casual glance at the past heatmaps, it might seem that `A` has diffused to equilibrium across all bins... \n", "### But the actual mechanism was that `A` (trapped in bin 4 by a membrane impermeable to it) has transformed into `B`, which in turn has passively crossed the membrane, and then diffused across all bins, while at the same time forming `A` by the reverse reaction in all bins outside the membrane. \n", "#### All said and done, `A` has \"found a way, thru its disguise as `B`\" to indirectly pass thru an impermeable membrane!" ] }, { "cell_type": "code", "execution_count": 34, "id": "6f01a81e-0807-4a5b-b4c7-cab78aa2b2d6", "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
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true, "showland": true, "subunitcolor": "white" }, "hoverlabel": { "align": "left" }, "hovermode": "closest", "mapbox": { "style": "light" }, "paper_bgcolor": "white", "plot_bgcolor": "#E5ECF6", "polar": { "angularaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "radialaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "scene": { "xaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Dashed vertical line at time when the membranes were made permeable to `B`;
notice the syphoning off of `B` and the resumed advance of the reaction that consumes `A`.
Concentration as a function of time of all chemicals at bin 4" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 11.160000000000396 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.5555555555555556, 10.555555555555555 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's look at the central bin 4\n", "bio.plot_history_single_bin(bin_address=4, vertical_lines_to_add=[0.7], \n", " title_prefix=\"Dashed vertical line at time when the membranes were made permeable to `B`;\" \\\n", " \"
notice the syphoning off of `B` and the resumed advance of the reaction that consumes `A`.\")" ] }, { "cell_type": "code", "execution_count": 32, "id": "5f03f7a6-b3e4-400f-8de9-999a7b98930e", "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
SYSTEM TIME=%{x}
Concentration=%{y}", "legendgroup": "A", "line": { "color": "turquoise", "dash": "solid", "shape": "linear" }, "marker": { "symbol": "circle" }, "mode": "lines", "name": "A", "showlegend": true, "type": "scattergl", "x": [ 0, 0.020000000000000004, 0.04000000000000002, 0.06000000000000004, 0.08000000000000006, 0.10000000000000007, 0.12000000000000009, 0.1400000000000001, 0.16000000000000011, 0.18000000000000013, 0.20000000000000015, 0.22000000000000017, 0.24000000000000019, 0.2600000000000002, 0.2800000000000002, 0.3000000000000002, 0.32000000000000023, 0.34000000000000025, 0.36000000000000026, 0.3800000000000003, 0.4000000000000003, 0.4200000000000003, 0.44000000000000034, 0.46000000000000035, 0.48000000000000037, 0.5000000000000003, 0.5200000000000004, 0.5400000000000004, 0.5600000000000004, 0.5800000000000004, 0.6000000000000004, 0.6200000000000004, 0.6400000000000005, 0.6600000000000005, 0.6800000000000005, 0.7000000000000005, 0.7200000000000005, 0.7400000000000005, 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notice the QUICK arrival of `B` by diffusion, and the subsequent formation of `A` by reverse reaction.
Concentration as a function of time of all chemicals at bin 2" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 11.160000000000396 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.050090168341203084, 0.9517131984828586 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's look at a bin CLOSE to the central bin 4\n", "bio.plot_history_single_bin(bin_address=2, vertical_lines_to_add=[0.7], \n", " title_prefix=\"Dashed vertical line at time when the membranes were made permeable to `B`;\" \\\n", " \"
notice the QUICK arrival of `B` by diffusion, and the subsequent formation of `A` by reverse reaction.\")" ] }, { "cell_type": "code", "execution_count": 33, "id": "af67c42f-df89-4fed-93ed-ce042c0d5c7c", "metadata": { "tags": [] }, "outputs": [ { "data": { "application/vnd.plotly.v1+json": { "config": { "plotlyServerURL": "https://plot.ly" }, "data": [ { "hovertemplate": "Chemical=A
SYSTEM TIME=%{x}
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"gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "yaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" }, "zaxis": { "backgroundcolor": "#E5ECF6", "gridcolor": "white", "gridwidth": 2, "linecolor": "white", "showbackground": true, "ticks": "", "zerolinecolor": "white" } }, "shapedefaults": { "line": { "color": "#2a3f5f" } }, "ternary": { "aaxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "baxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" }, "bgcolor": "#E5ECF6", "caxis": { "gridcolor": "white", "linecolor": "white", "ticks": "" } }, "title": { "x": 0.05 }, "xaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 }, "yaxis": { "automargin": true, "gridcolor": "white", "linecolor": "white", "ticks": "", "title": { "standoff": 15 }, "zerolinecolor": "white", "zerolinewidth": 2 } } }, "title": { "text": "Dashed vertical line at time when the membranes were made permeable to `B`;
notice the SLOW arrival of `B` by diffusion, and the subsequent formation of `A` by reverse reaction.
Concentration as a function of time of all chemicals at bin 0" }, "xaxis": { "anchor": "y", "autorange": true, "domain": [ 0, 1 ], "range": [ 0, 11.160000000000396 ], "title": { "text": "SYSTEM TIME" }, "type": "linear" }, "yaxis": { "anchor": "x", "autorange": true, "domain": [ 0, 1 ], "range": [ -0.0493647857173277, 0.9379309286292263 ], "title": { "text": "Concentration" }, "type": "linear" } } }, "image/png": 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s5d/2sEn9MqRfsEK8ANgNMU+cVu1hacYq81Gai+3oY/oKv6IeJ67em7r8qsPQZSEA3/zYuSg6oV3sXHXyFRlVhra74srLsUtYuubgK6prUT5ccfv2pMzLaVMWUq7Oj/Relo8WM3k/N/cp692sXyx95gGtcj7n5aAoX121r6Jzw1cw+fbsbVNY2mUXXQNDXDd857B0XbPte0WV67Wup7R/GQ6uF0SRn8uwcPmY0yGEaNNF51CVhyPf9uS655QtEGcKyir3Rd+2m1fPvDZdRaDbZbcpLH3bmuv+InFW6WHpc99sek+o8kyhOTc9pqst0MOyypWAbSEAAQhAAAIQgMAuAghLoyUU9bB0DX2SXV0rYppDqvS35a5VN/NWCfeRJq6VS3VVJNY1X/18tjiDq07mMLcqcyaZ9XJNEO9aJVy/wOhVu+XfZS8DebLA9ZKmeyWY8ZiSxzc/EpevcA0tLOXYun3ZvSsk/mPfc1g2pDnv43oRMofom72y8l4yiy6IefloQ1g2ZaHrIbmUj92+NWe7h2QVueh77lUpsyy3rp51vsIyBNMmIklfA6S3q2teRvN6FUpYykr1rh7gZt6LxEyI64brvPE5z13buOLJazPmnILmddG87tvtqWmb1rG47nPyO7nuPPRPjzm/tDPr0bSduYbVap5lK9Tn3Rd92eTlw55GxrxG2eeDL782haX5XGO3EzOPZc8W9hyWPudk3n3Y57ypcw/T54rZK7eN4eD6HJCpGPKmuxE+Pj2oy857n6kXiljxOwhAAAIQgAAEIBATAYSlkY2i+aqKFkCw53ySB1J5Obt33fppL82uBRzqzKNnNiDX/E52rHa95IH28s+dky1CUkVYmj3U8oY15jE0X17KhKVdhn6ZyHtJ0+WZXExZ4ZufPoWl+ZJoXyB8hojZc4gKMxGd8oJkvwTZPMpWJ83LR1vCsikL2T9veF2ePKgjF8vOvTplum4OefmqIiybMm0qknS9ypiFEpbSA3bz81um4bSvdWU9yZpeN8p6aRad51q4513Tyh4iZH/XPats2GlZfsqYmWLGjtFHxoRoZ3Yd5PomX5jZQ8Cr3hfL2OTlRLdpue+abTJvbuK8+aB9F08LcQ755tHFUL4slS8nXIvulJ2Tcty8NpA3t6bP/THvHqZzZp9vVZ6Lys5F/fuyeb596lF0rLx7m298bAcBCEAAAhCAAARiJICwjDErxAQBCEAAAhCAwOAJlH1BN/gKUoEoCLBoTxRpIAgIQAACEIAABAITQFgGBkpxEIAABCAAAQhAQAggLGkHbRMomqez7WNTPgQgAAEIQAACEGiTAMKyTbqUDQEIQAACEIDAaAkgLEeb+s4qrhfUWnfHdZ0dkwNBAAIQgAAEIACBLgggLLugzDEgAAEIQAACEIAABCAAAQhAAAIQgAAEIAABLwIISy9MbAQBCEAAAhCAAAQgAAEIQAACEIAABCAAAQh0QQBh2QVljgEBCEAAAhCAAAQgAAEIQAACEIAABCAAAQh4EUBYemFiIwhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQKALAgjLLihzDAhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQMCLAMLSCxMbQQACfRNYvuJ6de+69epDJxyjrll5frBwNm56Rp3y8Uuz8u6+5Qq1eNEBwcqmIAhAAAIQgICLwAmnXqA2P79FffHCZeqspScFg3Trnfepy65doxbuu0CxcngwrBQEAQhAAAIQgEAPBBCWPUCP9ZAPPPSoOu+Sq4M/PMdaX+LyI3D4iWcHl4Ry5KtuuE2tXnvPVBA+slDv47OtX+1+uVXdep5x3kr19LPP9/ZiWOW81dvqWusX5Tq5qMp37NuHaLtVch0b777Pk9h4hIpHuP7wxz/NikNQhaJar5w6uWjrvGhyrah7L6xHjb0gAAEIQAACEIBAPgGEZcuto+ihUfcYW3XlRer4Y49sOZJyMdPkAbdu8LYo0eXYTDQrX1ElD9z2x8W5qFwpw/UCqDmdfcbJ6uJPn1m36kH266INtfHyonuA+ObThCUvePJZu2rFDIZmb0n7l2Uv8zqvVc/Htl44fRuI67x1tQvNxu7N0yQXvjHqY8RwzvjGHHq7KsIyr031cY0OxaHv8yRUPdoqpw4fOc+//+hPevuyJBSLvHvMkK4bTXIh9fe5NprPSz73Tr39hu+urpSqNu75lQJg46gIxPgeExUggoEABCAAgVYJICxbxatUjDf6vIfRrl+G9XAo+8Fb91IwxYqvsNQP6PawYV03W1rpFyJb4pg90ez4qoiHlpuXGqqwLJKOTZhpKecaNp4noJscT/atIxqaHtPc31dY5r28tpULM8YhiYeQuTHLqnLdQFi2lYV4y61zHfEVXfHWeldkKQjLLnKhn5mEmY/grJt3hGVdcmnuF+N7TJqkqRUEIAABCLgIICxbbhddS0Cf6sQgLPXLe15vNuH2xFP/NjWvk4+w1Kzz5jh0/T5PcEl86x/+cTbUzpaZdV4sffIS6zZtvLzIi9d7j3xH0LkohV+RsKwijKrkou/24HuNyesB1FYuqjAcw7ZV2h/CcgwtYnodq15H8npMD5FcG/eYLjl0kQvzOn/jN+7KqtfW/JRDz0eXuR/DsXyfMcbAgjpCAAIQgED3BBCWBnPzpvzQPz2WLfChP3mTottDj83t7PnidFlaqOW9wLqGteb1DDSbjM+wH9dQaV12nfqb3/hLLL7f+ld5eZdyfYSlzza696bJyvWiKD875uglmbQ86MD9pok134f5vOHJeb3/5Of/5T+fkM0jKh+dFzM+M3/S83PtXX+dzQOpe4EWMbAlsZ0785hmu/Ktr97HnMdLfmbX19UGfdtN2SWySFj6tI+y8l2/1/lZ89XPTy3eI9sdseTQqWHrRXHJtsLE3L4oDpuvtBN74Qb7/LL30fHpue/M4+lc5OVd2s2B++87bUi+7kFpluO6Fhb1ZNb72j2a61yXfPPoilv2zYtTfl733qDzVDaU05UriUn227jp36bmGfaNo+41Wo5Zlte867jez/xCyuc80XlzXTtd1019Tuv98s4he+oR2U7avllmlbrI8Vwx2l/AmWUu++yXsvPU1c6Lcu5aBCzv2cLmbZ7fde87l3/unKl7knlds9uGq3yfe4zvM4m9KE3Rs5fEGfK6Uec5r+rUImXXLN3W5dml7AvfsrLKfq+v/ce+57Bs8R79Me/TeaNTTPZl93Xz/Lj4T26cmovVNbom7xyXNiYfl7x1Pe+5rmn2s7Ouv+t5TI5lt2vXdDM+14e8PBQ98+nrQdl1vcrzp8RhX0v1ffBtB7112vmvYy57j7GvuS5GvtfHsvbK7yEAAQhAIG0CCEsjv+ZLgPnA5HqRcc1jWPQzl/B0lZv3ECgPJyJE5GHFNQy4iowp62GpH1T0C4IrTv0wVEXKmKeSrqevpPGpn0uk2Kev60XaVT9hJC8cD/7jBvWt7zw49TBc5Ztmzch8GM4TV/qFyMXDfJm1H6zt2HX5rhcFuyed/FteRs35U10P/1WEpUu8uX7mk6s6l948vmXCsM6x9D46P/YDuV3vvDZcRd678uO6ZrjKNF94zfrm5cJXWLpenu26us4b136un1W5LlfNo7C78+4HnPI178unsntDXlvzuYaZbcq1kFMVFk2v0T55rSL5fM8T133U1cb1C7t5TXSdHy7urt72VerimuKg6DyUvJqiOu9LsiqLdxVd632vwz73Hdc9Xurj+rl932l6j3FdN6o+e/k8z+RdN3yPVZSLqtekvO3N63Gb9zM5vm4XpoR2sciThb69hU2p5RK8Pue465lO6uDq9er77Fx0XtjnlisXvteHvFwXPfP5XterPH/mPVfIl2LXrDy/cGor13Uzr2OAfIFiXq/N/JddH0OdR5QDAQhAAALDI4CwdAhLWy66HkbzHsjsm3eR4MoTZXlDmiXUovJ8h3aWCcsm9a+ygIfrG12po6unqM/Lvk8vNddLpc1U/1vi0P+tH6aryKW8y4FraG6RFCx6+Pd9WLTrkRebK3++wjKPjavNti0s8+qX11O6yaU7Lz/2i1TeS63veVuFb5fCsqj+v/nrR2RfsrjaQF67ssvLu+a1KQnsnFSJwffeUNTmqg4Jr3KP8r1G++S1iuTzPU/yypQ6/u0//DCbJqRom1M+fulUD9mi+6Xd/qrUJa/t2tf2KmX6Sh7dbvLaf5XrRJ37Tt612/eaXuUe48qf7/lV5ZwtEkcuiVzli8Im9xa9b16PZVsAhTiWFpZFPZr1M5orrirD44uep3zPcR2v/WWv3l/HWuXZueozssQgx9OLMPpeH6q2O9m+7Dpa1oPf9xplxlblPaata26otk05EIAABCAwPAIIy5rC0veBJtSNXodZ9IAnDzLyca2ebDZN39iLXozKyqgyHCpveJv54NWmsLQf0IWxDAXXHKWuuudI1ZdK/YDpGnpritk6L476IdkcEi4/q/OSZ1+6zPz5CssiNnYZvi+3VS+pRT1PXL2qqpbv2j6v3j4SyVckF72oFPVedJ1D9hcCTXtY6nOzqLd03pcCPj3PQ4iHsjzrHjXmdmZ9qsSQd75U+bIjhLBseo32yWsIIWefJ+aQzbxpTsquNfp6XcS8rrD0uafruEPwyWu7ecKyjI0pourcd/LKLxOJde4xVb7o8L3GVPmio+wc0tevKmWWXYt87zFFQ7LrHMPnGdElKPPOI58pisqeZ/N6HJvPZHnPQb7nt763ms/OeXk3h1kXzb8u0/oU3dvK2FQ5h3Xe8p4l8qab0DH4PNP6XPP0s0aVnFa5PjZt0+wPAQhAAALDJYCwNHLn+1Ja9HBqD5upcqPPG9piNq+8Xol6G9c8MXbz9H0I1/vZ9c2bG8c8TpOebJqZKQx8hKWPBMtjbD60STkf+eBxU9+Wy7Gfevq5TGDaD8pFp74+lp0T19DcOi+OeQ/q8nOThavHg5lDU2r5vJDk1bmIv9371SdXdS6rZUPlfNpR1eNWEZb29cD3SwY7p2aMfQtLicV1XTKHh9oxFl3r9EuMfiH0vS5XzZsZt92byG6fvjEU3Ru6FJahrtFlea3ywlnlPHHNM2feD1xzI5r51/nMmwZBtvUVGnZbdcVmt72yl/e8HnMhhoRXuQ7Xue/4CssQ9xj7vAvx7OUrF6scy7fMOteosnPZd1qdKsfOaxc+U+pUeUYquib6nuNSr7wvPVxf2OVxMJ/Tis6LvHzYvU6LeJf1giy7VhaVrZ+9fZ8/fZ7FqrzHFF1z7aHiVe4fVdov20IAAhCAQFoEEJZGPn1fSl0vO7oY32/5Zfsqw8d1+fYwlzrNsamw1PUvm1C9Tmx6H3tOHR/R5LONa24dOab5IC7fjpvfnhf9rqiOeQ+dXQhLs23phXlccwfZD85NhGWVXgE+D8l12k+ZsLRlWJ1j2PtU7Q2nJeVV/+1T2SI9vnI/j1kMwtJmol8286RjlRegKtflqvnMuxYOXVi2dY2281rlhbPqeWLmUl8zzZ7u8vuy0QRtCMsqvaJD8Mlr07H3sKxS9yrPJL7bhrhu+B6rTWFZJPV8nnmqXhOLnm/zYtGS8uBf2T9bpKdMyNnPs67tq3yZJ+WZ1xfXvlWenX1HlZjPjlocV7k+5OWm7FnK59nb9/mTHpZ1zhD2gQAEIACBLgkgLA3aVR5wy4Y/6Qewovl8XA9/Rd9sy3xw5iqx9qqZvg0nb868EPX3jUEetGUy77yPzcHnwbxsyG/R73We9OqxroVyXL8rqm+eYOpCWJovHd9/9CfqvUe+YxrvvBf5JsKyytxpfQlLn3bk24b1dr7XAr29Ziy9wCQ3rtVNXTHk5axvYek6l32+uMm71tk8q1yXquSuSDLUFZZy/Ly2XaWHpWueWym7CgufF9EiXj55rSKlfM+TvHuD2V58WRb15K3bw7JI6Ng8q/DJy3lejvqaw9K3h2WVe0yVZxLfdlTlXKkqjuy8tiksXQui6HjtET1Vrv+KX1EAACAASURBVH9F2/pem3UZuu0euP++6qAD9yt8tjOPW3Qe+57jLhYyTY79RWDRl2Q2i6LncFk121yoUPa122QV4enKQ9G12/e67vv8WZYDmZezyntMEecm19xQbZtyIAABCEBgeAQQlkbOqjzguuRX3sNjlRdY/fBgPmzZk9TrFwF7Dh3ZTq/qV/Yieu+69TMWt6lSf1Pw2b1cpL56RfO8OIrmR9O9eKrOYSnH0qzsYVJ5Pzfj08d1DbEq+l1ZHfOGJbU1h6X5EiF5lk9eT0pXO5Pt68xhKfvJA2nZatmyXR/CUp9bPr0TqlzKXb12y14kdXvy7V0p8bh6j5rD08pWr84TCL4vNjpvm5/fMm2FYF0Xsz3bYrhIqrriNttfleuSxKjz7DNU0iUDXOd6lRhcc8uZw4h9eh/libYqcTS9Rvvk1SVqzLqaefQ9T1z3NxdTV3ySf9n/2Pccli3Oo9us/G1+MaD3NacCqFIXHY99LZEyln32S1PHqiIsfaaEMa9LRZLM9zrc5pDwsvPAbBtVvozxffaqcq7kXe99j9WWsCy7j+S17yr3L9e29hQu5nXVNXdj3vD/sjjKpKTvOa6Po7fPmxrJ99m5bEi8ed677su+14c8PkVS0ve67vpy1pziw37+tJnZXyJUeY/R13p75e+8VcJ9RvroevtMe1XW7vg9BCAAAQgMiwDC0shXnQdcebAxPy4BYc95o1+SynqkmeW65KQMvbE/vovd6Ac72V8/ANSpv1mOjsVHFMi2eXOBFa1OmXd62fV2xVXGxh52aB6r6HdFp7z5gCjbSfsQqWwL4zovjuZLhEuC6Hzm5cPmL9zlRV/aVV1hKTHph1XNxZXPtoWlbzsJcbnWLxci8squBfr3RUNVi2KyryVy7l7+uXOUPcm/69pSVVi6cintTISM9KQxv6iwr4Oyr/lClHdt0T8362y35arXJdfLUhFT+1rhqmPVGFzn1kEHLlT2AllVrh0SV14P+7Leonbb9L1Gl+VV4rdzmHcdqXKe2NcQOY7r+m1fXzVP18JSJgNhKdMx2Ncm37rIcfLmsjNlRhVhKWXa9SmS22WSzOc6XOe+49vD0nWPz2sbsm2VZxLZvuzZq+o5W3Qulh2rLBd17zM+IwLamOZEC2/7ulHUHuvc08uEpeucyDvH5ec+X0rmPXf6PvPoY5g5dX0J6nN9yGsXPr0ofZ69fZ8/Xfd6+x5R9T3G5uQSjVWujwjLulcR9oMABCAwfAIIy+HnkBpAAAIDItDWy+2AELQaatPheK0GR+HREKCdRJMKAhk4gaq9gwdeXcKHAAQgAAEIQKBDAgjLDmFzKAhAAAI+vWagVI+APX1GvVLYawwEEJZjyDJ17IJA0TybXRyfY0AAAhCAAAQgkC4BhGW6uaVmEIBAZATKVjGPLNzBhSMy+KmnnytdPXpwFSPg4AQQlsGRUuAICbjmKh0hBqoMAQhAAAIQgEBLBBCWLYGlWAhAAAIQgAAEIAABCEAAAhCAAAQgAAEIQKA6AYRldWbsAQEIQAACEIAABCAAAQhAAAIQgAAEIAABCLREAGHZEliKhQAEIAABCEAAAhCAAAQgAAEIQAACEIAABKoTQFhWZ8YeEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAQEsEEJYtgaVYCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAoDoBhGV1ZuwBAQhAAAIQgAAEIAABCEAAAhCAAAQgAAEItEQAYdkSWIqFQGgCV91wm1q99p6pYu++5Qq1eNEBoQ8zqvJguivdDzz0qDrvkquncv/FC5eps5ae1KgtaLZmOz38xLPVh044Rl2z8vxGZcvOrvIbFxp5ATpPIfLTdlXPOG+levrZ59W6O65r+1CUDwEIQAACEIAABCAAAQgkSABhmZNUW2TozVKVRG2/XOaVv3HTM+qUj1+qjlhyqFq7akWCp1iYKt16533qsmvXqFjaXwr5rMo0T7bpcs4+42R18afPDJPwDkvR52BoCTZGYdn29awvYVlHDvveU9o+f+S8NT+h23mHpyqHggAEIAABCEAAAhCAwKgIICytdOsXTvmxLYeWr7he3btuvRqqmChq2b4vl3XPjhQEV926h9hP+MknFqmbQj6rMk1VWGoZteG7q0M01akyEJbhv4BBWPo3UX0vN3v09sXPP2q2hAAEIAABCEAAAhCAAAQ0AYSl1RZOOPWC7Cd5w9jkhefBf9wwyJ5UMQpLTkU/AtIu33vkO4IMpfU7YvFWbQvuEDGWlVGVacjhzGWxdfl7+SLm+4/+JPjQ3TEKy7bz1pdwa7OHZVvM9BeMtohvq723VQ/KhQAEIAABCEAAAhCAwFgJICyNzOuhaVWHjPkMOdOy49j3HJYN7dWfvPnc9MuW2TDtuES4bH5+y9Qmds9P8yVz2We/NG1bs/eoyKcf/vinM84BvY2O/b/85xOm5rlbuO+CTHDYMUgh+ne6QN/y7Xnt2uBqV9LsUWv+zpUX3T6KcuK6kFQ5hmt/m4Nso3OdJ9EkLwfuv+9Uj0xTdDz0T49lPYX1J6+9u3IrbeLiP7nRq730kc+8Nmfns4ipbw50O3dJJC10L//cOdPmhtRTH9htyfc6UHXqBHtqC59zs+wYrmuTMLN7pIcQlkXXQd/rm86n6zxcdeVF6vhjj5xKuVmmTFVhfkR82WXYPGX7vHOyqC6ua4uUZZ+becLSVbbP9BE+ucybHqXsPqnPgTVf/Xw27Yf+2O3LVaequXWds/Y1UG+jWdu5d5XBzyAAAQhAAAIQgAAEIACB/gggLA32+uXN50VPdtMvWqYodP1Mv8TK3z7D01y9POUlS0STSCDXPGmu4W/mi6YtKO3FEIp6zGm54xIZEqtIGfOl3xV/WfkuLqG5uk4zzc3shVPE0nzJ9W0vvscougzkvXxXFZa2BHFJJVf9ZT+prwh3WYwl1nzqc81uq8LJ/lke07w85LHOE5byJYB5TFN2uX5uf+GghbHZNst6gJux6y8KzP1dP8vriZbHQbY/6MCF03qZu86FpsKy7DpY5frmmifR9QWVWabNXX85ZP/c/GJAtz9bQJfVRWK58+4Hpk354IqvqK3VaSdNcln22KLbmi117XOxSFjKMcruXSHO17K68HsIQAACEIAABCAAAQhAoHsCCEuDuetlvigledKmyou6LU18ht7lHddeRCSvLFcPkyoCqqyZuhYzqVJ+G1zLYrZ/bw8bLGL+m79+RK3VuqsMTQwlLO1eUVqimbLMZ7h3rPnMa/MuKdK2sHStkJx3TN/rgO8COUVDh23xWlVYFol/s31VuQ7aZfpcB6tc34p6PZrD4fPKLBpeLL2VTVloH8unLnnXJ3vaAlde8+omx62zCJSrjdWpQ9l9Sn/5U9bDcvGiA6bw+PaOzPvSRQrqa1h91XsQ20MAAhCAAAQgAAEIQGDsBBCWDYRllR5Xvj3hfGRR2XH1i2CVF/oqAipPLtg/N3sjVim/rH6mFPHlWnai5w1b1yJCC4uy4bJlgts19N5nsZMuhaXPXI2x5rNKXH0Iy7z47J+X1aNs4a8iwWSXXUdYauljt3czribC0uc66Ht9KxJU9oJDeWVW+bl9/vjURXN0TVVgXnPyxLv0/ixrE3nXprq59LmmuqS9/SUJwrKMJL+HAAQgAAEIQAACEIDAOAkgLB3C0mdIuKtnmi7KNSzcV6yVSZS8+RDN5quFnu8LvexbJkhcc+zlrajepAdnW1zzTm8dqz1s0SVxXPO9+UiCKsfIi7MrYVnE34zNt710nc+i88ceilp2rtm5qCLSfcWkPoa9vWv+UDOevDkv9TZFEtLuSV5VWOrYzC8OXHluIix9cuN7fcubH9Lkqa/5VcSk7O9TR5+66By4hpLnzUUrUzPoj6u9+MzR2CSXZY9MeedAF8JSYqtyvpbVhd9DAAIQgAAEIAABCEAAAt0TQFgazKsuulPlhchXWPr0xpGyfESZ7wt9XWHZVvltcM07tfJ4+0gc/bJfJgaaHMMUEvZceUUv5UWL7piiwyWa6GHpbi1V2mVTYSn7y2ftqhW17gpt9bDM660YWlj6XAd9rz865rLzNE9AVv15nR6WvvcHn+HM5hdJRb23m+ayrGHm5dA+bhs9LCU2Ft0pyxC/hwAEIAABCEAAAhCAQNwEEJZWfvSQvLwXPXkZXHvXX2dzg7Ux12KRaNBzkvm8zBe9ZLt6QBbNp1i26q3Nqmn5bXDNOw3zXmptYSn/tle99pEHRS/OPlK0D2FZ1DPqb//hh9miO1XaS5f5bHMOS3s+QZ2bolXC191x3bSm5ysy68wZaB6orTks8+YQDC0sfa6DvsKySOzb14U2eliW1eWMj/1Wtoq260uosi8ezPuRWRef9lMll655icsebXzP+7aEZdG8o+a8pWX14PcQgAAEIAABCEAAAhCAQD8EEJYW97xhzrKZfgHSL5b6RatsheuiF2aXMBNBaA9RNmWJa5VwU2yt+erns0VgqrzQFy1mkCcsXT1SzeGXZo+mKuW3xdV1irlWNzaHfmsZ61qx2XeVcN9jFF0CfMWqFqQyp13Z3HeyrUs0ufjbC3HEmk99rpWtTKw5uXqt5uUhT4C0ISzNPNpfCJirtRe1GT30215lWeZRNcusIs5di5mY18xQc1jm5dG8Dta5vtlSUGJf9tkvKS2W2xCWPnVxrSKurzlF53HevcBVnt1WquTSd6oI8xj21APyO9d0KW0JS1f9fL9k6udxjKNCAAIQgAAEIAABCEAAAiYBhGVOe3DNVyibunpe2gsl2Csx6xdW17xzeSLKXgTGtdiLa94yc7sqL/QSo11nLTqKhgjb88NJHY99z2HqsmvXKHsIZtXy2+DqSrcdl+TvoX96TLlW/7X391kwx8U27xh5l6eiefDstiJ5EwnjM/ddkYiw+duyJ9Z8CkObSZVzr+gWYZ5zWoq2JSxd7UbH5tvu9DVA72eLXPMYvmXa8+hKmfIlid1L0Gd+x7LbcdF1sOr1LW/+3zLJKjFWEZl518uya7p9Pfc9j12L5vguDuabS2FgX+td9zkzn7qHpXx5Yn7s/doSlvqYPveRsnbI7yEAAQhAAAIQgAAEIACB7gkgLLtnzhEhAAEIQAACEIAABCAAAQhAAAIQgAAEIACBHAIIS5oGBCAAAQhAAAIQgAAEIAABCEAAAhCAAAQgEA0BhGU0qSAQCEAAAhCAAAQgAAEIQAACEIAABCAAAQhAAGFJG4AABCAAAQhAAAIQgAAEIAABCEAAAhCAAASiIYCwjCYVBAIBCEAAAhCAAAQgAAEIQAACEIAABCAAAQggLGkDEIAABCAAAQhAAAIQgAAEIAABCEAAAhCAQDQEEJYBUvHUc78IUApFQCBtAnvOn6N2mzdHvfDz7WlXlNpBIACB+fNmqzftMU89t3VbgNIoAgJpE5gze5ZauGC+eubfX0m7otQOAoEIHLTfHor3l0AwKSZ5Age8ZXf17JZtaseOncnXdWwVlGshn7gJICwD5IcbfgCIFJE8AYRl8immggEJICwDwqSo5AkgLJNPMRUMTABhGRgoxSVNAGGZbnoRlvHnFmEZIEcIywAQKSJ5AgjL5FNMBQMSQFgGhElRyRNAWCafYioYmADCMjBQikuaAMIy3fQiLOPPLcIyQI4QljMhbt++Td26+kb1e+deEIAwRaRAAGGZQhapQ1cEEJZdkeY4KRBAWKaQRerQJQGEZZe0OdbQCSAsh57B/PgRlvHnFmEZIEcIS4RlgGaUfBEIy+RTTAUDEkBYBoRJUckTQFgmn2IqGJgAwjIwUIpLmgDCMt30Iizjzy3CMkCOEJYIywDNKPkiEJbJp5gKBiSAsAwIk6KSJ4CwTD7FVDAwAYRlYKAUlzQBhGW66UVYxp9bhGWAHCEsA0CkiOQJICyTTzEVDEgAYRkQJkUlTwBhmXyKqWBgAgjLwEApLmkCCMt004uwjD+3CMsAOUJYBoBIEckTQFgmn2IqGJAAwjIgTIpKngDCMvkUU8HABBCWgYFSXNIEEJbppjcmYfnAQ4+q8y65Wt19yxVq8aIDBg39jPNWqoMO3E9ds/L8xvVAWDZGqBTCMgBEikieAMIy+RRTwYAEEJYBYVJU8gQQlsmneLQVfGLr443q/uSLG537L1wwX23esq1S2Vu3b1Fbt71QaR+fjbdsa6fcvGM/kcPEtf3OnTtzqzBr1iyf6s3YxizzxYzpllrlxLTTlpbaRix1lHvM6zvy20KbcTa9BrQZWwpl71zRbV5POPUCtfn56ef8Fy9cps5aepLqU1jeeud96rJr1wSTpQjLyM4OhOXMhLBKeGSNNIJwEJYRJIEQBkMAYTmYVBFoBAQQlhEkYRJC2Yt1njzT0fsIMV+5JWXJtnnCScsmEXBVhFEdMSPlb2lB9MWRdaKAAAQgMFwCXQlLLSM/dMIxM3odHn7i2WrDd1f3KixDZxBhGZpow/IQlgjLhk1oFLsjLEeRZioZiADCMhBIihkFgaELS5FZtjTLRNr2rTPylyf18mSh7k1mi7tNBb3MnnjR3asP8db96fS2Nx9S+aBmz7+D37TYuf9u82ar7a/uqFT2m+cvUG+ev0+lfXw2XiDl7rbAZ9Mg29RhGuTAjkKEZ5d1b68e3eawrXrklSs9kp9/cbva0UMvy5jaa9fcuzheV0PCpWfle498R+EQaS01V115UTY0XH/k38cfe+Q0HCI59WfhvgvUujuum/q3/E56bUqPSf05+4yT1Rkf+y11yscvnfqZ7tkpP3D17tQ/s4+zcdMz08qR3x+x5FC1dtWKqbIRll203grHQFjOhEUPywoNaCSbIixHkmiqGYQAwjIIRgoZCYE6wtKWhHbvP1sMunr2iQw0RaBLAtryL2Xpt3jB27MWl9er8W17F8s3HyHmK7dEBMm2ZZ86wujgvd0SMO9YUq8FLYi+sroV/Z45LJvQY9+xEWAOy3Qz3oWwNEWkLR5Nsno7U0BedcNtavXae7IemPqjhaQMI5fP8hXXq6eefm5KGGqZqffRw73NcvXP9Da2sNS/N2WpHGf5uadlx7z4T26cJijlmCJFL/70mdnvEZaRnTMIy8gSQjhREkBYRpkWgoqUAMIy0sQQVqsEzF6CpkA05aEtDkUaylRyu8+bo5558blpPRVNWRizKBSZJVJLf6SHXCbS5r15Bu88qfe2HImW1zvn4AJ5mCfkYhRvrTbIhAtHWCacXKoWnADCMjjSaArsQljacjCv8q5ejro3o16IRwTmU09vntZT097GFpr696Z8tPexjy3C8Zijl0wJyLKE2dIUYVlGrOPfIyw7Bs7hBkkAYTnItBF0TwQQlj2B57BeBLRYdElFUyjqeQSl0CeNxUPMeQDL5j30CqjGRvvs/pZpktAeOmuLQVfPPlsGuiSgLf+QfjWSxS7BCSAsgyOlwIQJICzTTe5QhKWWjSICf/jjnzoTorepIiz1PrawtMuwD2gPF5ffm8PCEZaRnTMIy8gSQjhREkBYRpkWgoqUAMIy0sQMOCxbMupei6Zg3DiRitK7z1yIRPdS7KKHotnT0Bw+bMpDWxyKNJSY995zrlKv7TVtPjhTFiIKB9x4CT04AYRlcKQUmDABhGW6ye1CWPqu/l3Uw9IUlgcduF/hXJhtC0s9TN0eLm4OS0dYRnbOICxnJoQ5LCNrpBGEg7CMIAmEMBgCCMvBpKqTQPV8i3ohFls26p6MLtHYRg9G3bMwmyfwjcUyTKmohyeb8wiavQ+zbd/YL8SCAnXmsOwkcRwEApESQFhGmhjCipIAwjLKtAQJqgthKYGKRHStEC6/EwEocz/6CEvZ9lvfeXDaIjs2iBDCUhYJ+sgHj3MOCXfJSIaEB2mO7RWCsERYtte60ikZYZlOLqlJ+wQQlu0z7uMIWjzqodRPTlZj1j0ctXTUQ6elZ2PIXo1aDOqei1owmj0WTRGphaLupRhzD0WEZR+tmWMOmQDCcsjZI/auCSAsuybe3fG6EpZ6HktbWuoh3rL4jY+w1HNPusq56r99Si1edEAmR80VwIvmsMwbEq7j1XNnSkb0ojvX/Ok3py3yo8tnSHh37bbykRCWCMvKjWaEOyAsR5h0qlybAMKyNrrOdhT5KOJRpKLu8Si9GeW/X3jlBaVXjA4lHmUFZnMhloMnQ6G1bNQ9Gc0Vj7VoDNGDsTOoNQ+EsKwJjt1GSwBhOdrUU/EaBBCWNaANZJeuhKXGoVfw1v82V+72EZZ55ZiyMISwlONoaemKVXpgbn5+S/YrqcN7j3zHNInJkPDITgCEZWQJIZwoCSAso0wLQUVKAGHZfWLM3o+2gMxE5ERMymIx0gNStq3z0XM06l6OLumoh06PSTjWYWnug7BsSpD9x0YAYTm2jFPfJgQQlk3oxb1v18IybhpxRjdr5+QTZ2jDiQphOZxcEWl/BBCW/bHnyMMjgLAMlzORjVlPyIlslDkedS9ILSGlB2SdeR5N+aiHV+u5G6VXoykeYx5OHY50fyUhLPtjz5GHSQBhOcy8EXU/BBCW/XDv4qgIyy4oNzvGKIWljL+/d936jJzZfTYPpb18vMwxYH4Qls0aIXuPgwDCchx5ppZhCCAsyzmaInKXfJzIyImYzHpA1uwJKcOuD37T4snQ68miMJMFZURAZn9PBKTM6agXixnDMOvyDMSzBcIynlwQyTAIICyHkSeijIMAwjKOPLQRBcKyDaphyxydsJSx+Dd+466plZVERh5z9BLnCkiC2l7xyP63bIOwnNkoWSU87ImaQmkIyxSySB26IjB2YWnLSFmcpm6PSJGL5hBsW0LK0Gt6QHbVsts5DsKyHa6Umi4BhGW6uaVm4QkgLMMzjaVEhGUsmciPY3TC0haUtsC0Uflsj7BEWMZ/qvcfIcKy/xwQwXAIpCwszcVqNmz+QdYzctffWyY9JP2HZ++z+1vUu/Y7MkuqzAUpIlIPxRYBKSJShm3zSZ8AwjL9HFPDsAQQlmF5UlraBBCW6eYXYRl/bkcnLGVFo0998mPqrKUnZdnRqzHZw7x16vTv9dLxIjCXnnL81P6yHcISYRn/qd5/hAjL/nNABMMhMGRhqYWkzBu5q6fkLgk5NVzbY8Ea3StSxKOWkHpYtohIhmQPpy13ESnCsgvKHCMlAgjLlLJJXdomgLBsm3B/5SMs+2Pve+TRCUt7mXfX8vE2PNlHlmvXS7fbcvPfX9zuy5vtIDBaArvNm63mzpmtXn7ltXQYzOq2KrJG2uxZHR+02ypytDcIzJ0zS83fba566RevRslk45afZQJy45bH1caJjHz03x6ZrJy9RT367OTvV4pX0F6w+z5q8aRHpPR+PPKt737j76Mmf0/k5ERGyjySfOIgsGMg15xZk+vi3nvOVVtfivN8iSObRAGBXxLY5027qRd+Ht/7y44dO9Ws2TznBG2rLK/bGOeCveaprZPnsZ07GhdFAZEReMveu0UWEeHYBEYnLKv2sLR7VF51w21q9dp7lCktX96WkIDhHIFASwTmTh5AZ0/+bH8tobt9xw+B8iA/eyJ9+aRPQHqMzZtIy1de7e98+cEzD2cS8gcTGSliUv79gvx78nfZ590HHK32mQhI+XvxgkPUIRMJKULyyLcepfaZCEs+wyDw+uSaI20x9o+EOH/eHPWL7a/HHirxQSAKAjLq5eVt8Z0vO3bs4IvZ0C0k/kt46BoHL2/33eaobdt3qJ2T//FJi8Ce8+emVaEEazM6YekzJ6WZZ+lduerKi9Txx+6aJ8vVI5Mh4QmeGVQpOAGGhAdHSoEJE+hqSLgM3/7nzY9mw7ZlHkk9dHvDpKdk0Ud6Rx6+8N3ZYjXy9+H7H5Wtov2uhUcyb2TC7TLWqjEkPNbMEFesBBgSHmtmiCtGAgwJjzErYWJiSHgYjm2WMjphWbZKuN2DUgSnfNauWpH9LauEf//Rn0ytMi4/Q1jObKKsEt7maTvMshGWw8wbUfdDILSw1IvayN/y58nJMG75W4Rl3kcvaqMXtBEpKfNHsphNP22Co+YTQFjSOiBQjQDCshovth43AYRluvlHWMaf29EJSy0d7123PsvOEUsOnZKR8m/XkG8ZRq7nr5S5LNfdcd20zCIsEZbxn+r9R4iw7D8HRDAcAnWFZSYjJ3NLSg/JrMfkG/+dV3NXT0mk5HDaCZHuIoCwpCVAoBoBhGU1Xmw9bgIIy3Tzj7BUauOmZ9QpH790hheLJeujFJah4SMsEZah21SK5SEsU8wqdWqLQJmw1EO5RUo+uOlvvMXk4fu/e9JD8pBsGDfDt9vKHuV2TQBh2TVxjjd0AgjLoWeQ+LskgLDskna3x0JY7uqwJx9Zp+XuW65Qixcd0G0SSo6GsAyQDoRlAIgUkTwBhGXyKaaCAQmYwvLBTfdPzTG54dldQ7rzhnK/bbL69ttESE7E5HGLPsC8kgFzQlHxEkBYxpsbIouTAMIyzrwQVZwEEJZx5iVEVAhLpWQKxM/+/qnqq392hzrm6CXq4k+fGQJtsDIQlgFQIiwDQKSI5AkgLJNPMRVsSMDsNfn3/3q/2jQZzv1Izorcen5Jekw2hM7uSRBAWCaRRirRIQGEZYewOdTgCSAsB5/C3Ap0KSxf2rlD/WTby53D3HP2HPVru+3hPK4MB1/22S9lUx7aa710HmjOARGWATKBsAwAkSKSJ4CwTD7FVLACAS0nZTh32VyTstjN2yaL3UiPSYZyV4DMpqMhgLAcTaqpaCACCMtAIClmFAQQlummuUth+c8TWfmZp3/SOcx3zd9Tfe3AdziPq4eD616Vh594dnTDwhGWAZoMwnImRFYJD9CwEisCYZlYQqmONwF7vslMUE5W6bY/egEc6TV51AFHqV/b/z+ow/f5De/jsCEExkoAYTnWzFPvugQQlnXJsd8YCSAs0816l8LyZ6++oq57flPnMA+ZN19duO/BzuPK4tJrvvr5qXkrl6+4Xh10TJHhtgAAIABJREFU4MKohoUjLAM0GYQlwjJAM0q+CIRl8immgm8QkDknyxbDMYd0S89JWZlbek/qT9miO8CGAAR+SQBhSWuAQDUCCMtqvNh63AQQlunmv0thGRvFBx56VJ13ydUzwlq474JsiHgsH4RlgEwgLBGWAZpR8kUgLJNP8Sgr+ORknkktJ2VBnO9Nhni7Pu+T4dxvLIRjy0nX9gjLUTYnKl2TAMKyJjh2Gy0BhOVoU0/FaxBAWNaANpBdxiwsZTj4U09vVtesPH9atmRY+KorL1LHH3tkFFlEWAZIA8IyAESKSJ4AwjL5FI+igmbvybyh3TLnpPSWfN+i96t3Tf42e076QkJY+pJiOwgohbCkFUCgGgGEZTVebD1uAgjLdPM/ZmEpYvKLFy5TZy09aVqCZVi4fGyR2VcrQFgGII+wDACRIpIngLBMPsXJVdBcGEeLSvmZ+dHzTh43kZMytPtdC49U8rOmH4RlU4LsPyYCCMsxZZu6hiCAsAxBkTLGQgBhmW6mxywsh5JVhGWATCEsA0CkiOQJICyTT/HgKygy8u+eekBlK3fnDO8O0XvSBxTC0ocS20BgFwGEJS0BAtUIICyr8WLrcRNAWKabf4Rl/LlFWAbIEcJyJkRWCQ/QsBIrAmGZWEITqI4pKL8nC+U8+8iMWplzT/7GQccH6T3pgw5h6UOJbSCAsKQNQKAOAYRlHWrsM1YCCMt0M4+wjD+3CMsAOUJYIiwDNKPki0BYJp/iQVRQhnZ/+6d/mduDUgRl6OHddcAgLOtQY5+xEqCH5VgzT73rEkBY1iXHfmMkgLBMN+sIy/hzi7AMkCOEJcIyQDNKvgiEZfIpjrKCeu7Jb//LXzpX8DYFpYjKWD4Iy1gyQRxDIICwHEKWiDEmAgjLmLJBLLETQFjGnqH68SEs67Pras/eheUJp16gNj+/xVnfDd9d3RWHRsdBWDbCx84jIYCwHEmie67mky9uzOagvGciKEVW2ovk6CHeHz70o8EWyGmjygjLNqhSZqoEEJapZpZ6tUUAYdkWWcpNkQDCMsWs7qoTwjL+3PYqLM84b6U66MD9olkyvW66EJZ1ybHfmAggLMeU7W7rKmLy9h/drDZs/sGMeSjf9uZDstW7T/7Vj6ou56BsSgBh2ZQg+4+JAMJyTNmmriEIICxDUKSMsRBAWKabaYRl/LntVVgefuLZatWVF6njjz0yflIFESIsB50+gu+IAMKyI9AjOIzuRXn7YzfPGOa9z+5vycSkCEoRlQfvvXiQRBCWg0wbQfdEAGHZE3gOO1gCCMvBpo7AeyCAsOwBekeHRFh2BLrBYRCWDeDpXRGWMyGySniAhpVYEQjLxBLacXX0Yjmu1byPeOvR6riJpJRh3jHNQ9kEEcKyCT32HRsBhOXYMk59mxJAWDYlyP5jIoCwTDfbCMv4c9ursJQh4UtPOV6dtfSk+EkVRIiwRFgOugF3FDzCsiPQiRxG5p78u6ceyOailAVzzLkoF8zfJxOTQ+9FWZQqhGUiDZlqdEIAYdkJZg6SEAGEZULJpCqtE0BYto64twMgLHtD733gXoXlAw89qr7w5ZvUujuu8w44xg0RlgjLGNtlbDEhLGPLSHzxFA31Pnz/o9T7JpIypV6UCMv42iARDZMAwnKYeSPq/gggLPtjz5GHRwBhObyc+UY8ZmG5cdMz6pSPXzoDVWwLX/cqLGUOy6JPbLDyYkVY+l4S2G7MBBCWY85+ft1FUupelN+brO5tfmRF79MP+8Sg56Ksm3V6WNYlx35jJICwHGPWqXMTAgjLJvTYd2wEEJbpZhxheem0NWViXBS7V2GZStNHWKaSSerRJgGEZZt0h1X2hmcfUd/88S2TBXPun7aq9xiGevtmCmHpS4rtIKAUwpJWAIFqBBCW1Xix9bgJICzTzT/CcrqwvOqG29T6h3+s1q5aEU3SexeWMiz8vEuungZkaCuHIyyjac8EEjEBhGXEyekgtA2bf6C++aObs96UT2x9fOqIb3vzIVkPSpmP8sOHfqSDSIZxCITlMPJElHEQQFjGkQeiGA4BhOVwckWk/RNAWPafg7Yi6FJYbt22VX3/X7/fVlVyy33z/Der9/7Ke2f8Xg8JN93bCadeoD71yY9FtcZMr8Ly1jvvU5ddu0bdfcsVavGiAzKIGtwXL1wWFaiiloWwnEmHVcI7vxZFf0CEZfQpCh6gDPe+6ZHrcyXl6e+U4d7vD37cFApEWKaQRerQFQGEZVekOU4qBBCWqWSSenRBAGHZBeV+jtGlsPy7J/9OHfdnx3Ve0d84+DfUg7//YK6wtH8Rm4frVVjmGVwRmTd+467BLMaDsERYdn7lGeABEZYDTFqNkPWclLdPelPK0G/90T0pkZR+UBGWfpzYCgJCAGFJO4BANQIIy2q82HrcBBCW6ea/S2H5z8/+s/rMX32mc5jv2v9d6mu//bVcYWmPbpZ1ZmKSlr0KS4HhGv6th4mz6E7n7TnYAelhGQxlMgUhLJNJ5YyK5K3ujaSsn3OEZX127Dk+AgjL8eWcGjcjgLBsxo+9x0UAYZluvrsUlrFRdA0Jlxhl4Z1jjl6iLv70mVGE3KuwpIdlFG2AICDQCQGEZSeYOz2InpNS5qXUH1k458OT+SiZk7JZKhCWzfix97gIICzHlW9q25wAwrI5Q0oYDwGEZbq5RlhOX3QnT2L22QJ6FZbMYdln6jk2BLolgLDslndbR3twsrK3DPf+9kRSbtn2wtRhRFDKnw9NFs4RacmnGQGEZTN+7D0uAgjLceWb2jYngLBszpASxkMAYZlurhGWl85IbkzDwSW4XoWlBMAq4eleAKgZBEwCCMvhtgcZ8n37Y2syUWmu8P2+yerepx8mC+d8QB289+LhVjDCyBGWESaFkKIlgLCMNjUEFikBhGWkiSGsKAkgLKNMS5CgxiwsgwDsoJDehWUHdZxxiOUrrlf3rluf/fyIJYeqtatWlIYhw9c3P78l2862ziy6MxMfc1iWNqnRbYCwHF7KZcj37Y/drL636W+mgpd5KaUn5TlHnY+kbDGlCMsW4VJ0cgQQlsmllAq1TABh2TJgik+KAMIyqXROqwzCMv7cjk5Y2iuQ+0wqKosDnX3GybkTjyIsEZbxn+r9R4iw7D8HPhFs2PwDddMjX1MPTiSl2Zvy9MOWKVb49iEYZhuEZRiOlDIOAgjLceSZWoYjgLAMx5KS0ieAsEw3xwjL+HM7OmFpC0pbYNopu+qG29RTT29W16w8PzebCEuEZfynev8RIiz7z0FeBDIX5b0//Zb6+kRUbnj2kanNjnjr0eqcd/8fDPnuIXUIyx6gc8jBEkBYDjZ1BN4TAYRlT+A57CAJICwHmTavoBGWXph63agXYSk9FmVY9WXXrims/Ibvrg4Ox16ZXM+hmXcsEZxPP/v81HBwCejuW65QixcdMBUbwjJ4migwQQIIy/iSqntTmgvoyJBvmZPyomO/wJDvHlOGsOwRPoceHAGE5eBSRsA9E0BY9pwADj8oAgjLQaWrUrAIy0q4etm4F2HZS03fOKiWpWctPSn7iRaWtoTUMYrg/MgHj5saDi49LlevvUeZgvP113f2WaU0jz0rzWqNuVaS0lmT/9vB6VK7Gbz22g41b96c2vvrHb/xyP9U1/39terhpx+eKuvEt5+ofu+os9Unj/q9xuVTQHMCnC/NGVJCcwLbX31d7RbgmtM8kvISZnN/KYfEFhB4g0Cs58urr72u5s6ZTZ4gEBWBWM+XqCCFCKaHd8Q5c5AOIVLXZhm9CkuRh6uuvEgdf+yR0+pYNky7CZCqPSzt7Tduekad8vFLp/WyfPrff9EkJPZ1EejhgkUi2iWwx/w5at7cOWrrS9vbPVDCpctpUfe2Kit9/19/f3m2gI6em1J6U8pK3//nf6Q3ZWzNZrd5s9Veu89T//7itthCI54xEWhy0emQk/Sw3PfN89WzL7zS4VE5FASGS+DAffdQTz8f3/vLQC45w008kdcisP8+u6vntm5TO+h1UYuf9051X3K8DzBzwwPfskeDvdm1CwJRCsuyYdpNwFSdw9Le3iUsGRI+MyOsEt6klaa5L0PC+8nrtydzU9708PXTVvoWSXn6YZ9Qp73zE/0ExVFLCTAkvBQRG0BgigBDwmkMEKhGgCHh1Xix9bgJMCQ83fwzJDz+3EYpLGXY9be+86Bad8d1wQmWrRJuD/mW7WWuTT0EfPmK6yeL8Dyn1q5aMRUbwhJhGbyhJlggwrK7pEpvSlnl++qHLp+x0vc5R31GHb7w3d0Fw5FqEUBY1sLGTiMlgLAcaeKpdm0CCMva6NhxhAQQlukmHWEZf247F5a692QZGtdQ8bJ9fH8v0vHedeuzzY9Ycug0+eiao1L/TLZfuO+CGSIVYYmw9G17Y94OYdl+9kVUiqS0F9GRBXRkIZ2D917cfhAcIQgBhGUQjBQyEgIIy5EkmmoGI4CwDIaSgkZAAGGZbpIRlvHntnNhaSLJm8MyfmzTI0RYDi1jxNsHAYRle9Qf3HS/uv1HN6vbH1szdRCGfbfHu4uSEZZdUOYYqRBAWKaSSerRFQGEZVekOU4KBBCWKWTRXQeEZfy57VVYxo/HL0KEpR8ntho3AYRl+Px/cyIpXcO+pUclvSnD8+6yRIRll7Q51tAJICyHnkHi75oAwrJr4hxvyAQQlkPOXnHsCMv4c4uwDJAjhGUAiBSRPAGEZZgUu+anlNW+T58soHP6YcsQlWEw914KwrL3FBDAgAggLAeULEKNggDCMoo0EMRACCAsB5KoGmEiLGtA63iXXoWlXnE7r856oZuOmVQ+HMJyJjJWCa/cjJLfAWHZLMV6fkpZTOeJrY9nhYmolN6UrPbdjG2MeyMsY8wKMcVKAGEZa2aIK1YCCMtYM0NcMRJAWMaYlTAxISzDcGyzlF6F5QmnXqA+8sHj1HH/y+HqC1++aWoxmzPOW6mWnnK8OmvpSW3WPVjZCEuEZbDGlHBBCMt6ydWi0p6f8pyjz1cfPvQj9Qplr+gJICyjTxEBRkQAYRlRMghlEAQQloNIE0FGQgBhGUkiWggDYdkC1MBF9ios9aI7ixe9VS377JemhKWsJG4KzMB1Dl4cwhJhGbxRJVggwrJaUl2iUoZ8n3PUZ9ThC99drTC2HhwBhOXgUkbAPRJAWPYIn0MPkgDCcpBpI+ieCCAsewLfwWERlh1AbniIKITl8cceqURe6iHgIizPu+TqqX83rGPruyMsW0fMARIggLD0S6JrxW8RlSyk48cvla0Qlqlkknp0QQBh2QVljpESAYRlStmkLm0TQFi2Tbi/8hGW/bH3PXKvwlKGfh9z9BJ18afPVOZ/X3XDbepb33lwqselb2X62g5h2Rd5jjskAgjL4myJqPzKQ5er703mqNQfROWQWnjYWBGWYXlSWtoEEJZp55fahSeAsAzPlBLTJYCwTDe3CMv4c9ursLTxSC9L/bn7livU4kUHxE9wEiHCchBpIsieCSAs3QmwRSUrfvfcUCM5PMIykkQQxiAIICwHkSaCjIgAwjKiZBBK9AQQltGnqHaACMva6DrbMSph2VmtAx8IYTkTKKuEB25kCRSHsJyeRERlAo26xSogLFuES9HJEUBYJpdSKtQyAYRly4ApPikCCMuk0jmtMgjL+HPbq7DUi+7IHJZD/iAsEZZDbr9dxY6w3EXaJSplfsrjFn1AHbz34q7SwXEiJ4CwjDxBhBcVAYRlVOkgmAEQQFgOIEmEGA0BhGU0qQgeCMIyONLgBSIsAyBFWCIsAzSj5IsYu7DME5WnvfMTyeeeClYngLCszow9xksAYTne3FPzegQQlvW4sdc4CSAs0807wjL+3PYqLGWhnaWnHK/OWnpS/KQKIkRYDjp9BN8RgbEKyw2bf6D++P5LphbTkTkqpUclorKjhjfQwyAsB5o4wu6FAMKyF+wcdMAEEJYDTh6hd04AYdk58s4OiLDsDHXtA/UqLDduekYt++yXBrMaeB5lhGXt9seOIyIwNmH55Isb1dWTVb9vf2xNlmUW0xlRYw9QVYRlAIgUMRoCCMvRpJqKBiKAsAwEkmJGQQBhmW6aEZbx57ZXYWmuCu5CteG7q+MnOIkQYTmINBFkzwTGIiwRlT03tEQOj7BMJJFUoxMCCMtOMHOQhAggLBNKJlVpnQDCsnXEvR0AYdkbeu8D9y4sV115kbIX3bn1zvvUjd+4azA9LxGWM9sbq4R7n4Oj2TB1YWmLSkns6Ycty4Z/s5jOaJp5sIoiLIOhpKAREEBYjiDJVDEoAYRlUJwUljgBhGW6CUZYxp/bKIXlAw89qs675GpFD8v4G1BehAjL4eaurchTFZYiKmXYtwz/1h9EZVutaDzlIizHk2tq2pwAwrI5Q0oYFwGE5bjyTW2bEUBYNuMX894Iy5izsyu2KIXlVTfcpr71nQfpYRl/+8mNEGE54OS1FHqKwvKbP7o5E5VPbH08o4aobKnxjLBYhOUIk06VaxNAWNZGx44jJYCwHGniqXYtAgjLWtgGsRPCMv40dS4sde/JMjSuoeJl+/T1e4aE90We4w6JQErC0haV71v0AXXNf/pThn4PqUFGHivCMvIEEV5UBBCWUaWDYAZAAGE5gCQRYjQEEJbRpCJ4IAjL4EiDF9i5sDRrIIvuDElM5tFHWAZvlxSYIIEUhOWDm+5Xy+87d6pHpaz8LXNUnvbOTySYMarUJwGEZZ/0OfbQCCAsh5Yx4u2bAMKy7wxw/CERQFgOKVvVYkVYVuPVx9a9Css+KtzGMRGWbVClzNQIDFlYulb+RlSm1kLjqg/CMq58EE3cBBCWceeH6OIjgLCMLydEFC8BhGW8uWkaGcKyKcH290dYBmCMsJwJkTksAzSsxIoYorAUUXnTI9errz98fZaNBfP3Uecc9Rn1h5NelXwg0CYBhGWbdCk7NQIIy9QySn3aJoCwbJsw5adEAGGZUjan1wVhGX9uexeWJ5x6gdr8/BYnKVYJj78B5UWIsBxu7tqKfGjCkgV12moJlOtDAGHpQ4ltILCLAMKSlgCBagQQltV4sfW4CSAs080/wjL+3PYqLM84b6U66MD91DUrz4+fVEGE9LCcCQdhOegm3UrwQxGWtqg8+Vc/qla+/yoW1GmlVVBoHgGEJW0DAv4EEJb+rNgSAkIAYUk7gIA/AYSlP6uhbYmwjD9jvQpLFt2Jv4EQIQRCEYhdWDJPZahMU04IAgjLEBQpYywEEJZjyTT1DEUAYRmKJOWMgQDCMt0sIyzjzy3CMkCO6GEZACJFJE8gVmG5ZdsL6s8e+Zq6+qHLsxzIyt/nHHV+NlclHwj0RQBh2Rd5jjtEAgjLIWaNmPskgLDskz7HHhoBhOXQMuYfL8LSn1VfW/YqLGVI+NJTjldnLT2pr/oHOS7CMghGCkmcQIzCknkqE290A64ewnLAySP0zgkgLDtHzgEHTgBhOfAEEn6nBBCWneLu9GAIy05x1zpYr8LygYceVV/48k1q3R3X1Qq+7k7LV1yv7l23Ptv9iCWHqrWrVngVdeud96nLrl2jVl15kTr+2COn9kFYzsTHHJZeTWpUG8UkLGX49//+V2eoDc8+kuVAelX++e98m3kqR9Ui464swjLu/BBdXAQQlnHlg2jiJ4CwjD9HRBgPAYRlPLkIHQnCMjTR8OX1KixlDsuiTxurhIt0vPEbd01JUunleczRS9TFnz6zMBa9n6xojrAsb4gIy3JGY9siBmHJPJVja3XDrS/Ccri5I/LuCSAsu2fOEYdNAGE57PwRfbcEEJbd8u7yaAjLLmnXO1avwrJeyM32sgWlLTBdpZs9QV0LBdHDciY1hGWzdpri3n0LS3v49x8cLfNUnk+vyhQbWwJ1QlgmkESq0BkBhGVnqDlQIgQQlokkkmp0QgBh2QnmXg6CsOwFe6WDjk5YnnDqBepTn/zY1LyZIiPPu+Rqldeb0/49wrJS+2JjCEwR6EtYSq/K3/2LD6sntj6exXLyr35UrXz/VYhK2mbUBBCWUaeH4CIjgLCMLCGEEz0BhGX0KSLAiAggLCNKRuBQEJaBgbZQ3OiEpQjHL164bIawvPuWK9TiRQdMQ7xx0zPqlI9fqszfuYTllpdebSE1FAmBtAjsNne2mjNnlvrFttc7qdjGiaC84R+/Ovnzf2fHW7zg7epz7/sj9b8dvqyT47dxkJ07d6pZs2a1UTRlRkZg7uRcmT9vjnrpldcii4xwxkRgx+SaM3sA15zZk8viXnvMVS++zPkypvZJXesTWLDXPBXj+wvPOfVzyp7tEdh7z7nq5794TU1uiXwSIyDXQj5xE+hdWMoQ7R/++KcZJT03pEjBD51wjLpm5fnB6VXpYakX2XEFYUpPXiiDp4kCEyQgAmbO7Nlq26vtC8tbfvgN9aUH/rt6fMvPMpKf+fX/qj5zzH9ViyeL6wz5s2PHRB7Imzmf5AlIj7F5E8n/yvb2z5fkYVLB2gRen1xzpC3G/pEvcvbYbY56eRvCMvZcEV8cBPbafW6UX4jxnBNH+yCK6QT2nD9X/WLyPCZCnU9aBORayCduAr0KS5GVBx24XyYmRSRe/rlzstW3feaVrIu1zhyW5rEYEu5Hnjks/TiNaasuhoS7FtVh9e8xtbJ06sqQ8HRySU3aJ8CQ8PYZc4S0CDAkPK18Upt2CTAkvF2+fZbOkPA+6fsdu1dhKfJPD7c2hWXZvJJ+VXNvVbZK+FU33KZWr70nd05LhKUffYSlH6cxbdW2sPzKQ5erqyd/5PO2SU/Ki479gjrtnZ8YE2LqmhABhGVCyaQqrRNAWLaOmAMkRgBhmVhCqU6rBBCWreLttXCEZa/4vQ7eq7AUSbnmq5/P5o7sqoelUFm+4np177r1GaAjlhyq1q5aMQULYenVbko3QliWIhrdBm0Jyw2bf6B+/6/OmFpU5/TDlmWy8uC9F4+OMRVOhwDCMp1cUpP2CSAs22fMEdIigLBMK5/Upl0CCMt2+fZZOsKyT/p+x+5VWIoc/NZ3HlTr7rhuSlguXvTWbKGbs884WV386TP9atHzVk8994ueI+DwEIifQGhh6Rr+fc1Jf6qOW/T++GEQIQRKCCAsaSIQ8CeAsPRnxZYQEAIIS9oBBPwJICz9WQ1tS4Rl/BnrVVgKHj3820RlLmgTP0KlEJZDyBIx9k0gpLD85o9uzoZ/PzFZCVw+0qPyDyd/+EAgFQIIy1QyST26IICw7IIyx0iJAMIypWxSl7YJICzbJtxf+QjL/tj7Hrl3YekbaMzbISxjzg6xxUIghLC0e1Uevv9R6n/89lqGf8eSZOIIRgBhGQwlBY2AAMJyBEmmikEJICyD4qSwxAkgLNNNMMIy/tz2Kiz1XJIbvrt6GilZ2OZDJxyTrR4+hA/CcmaWmMNyCC232xibCsubHvmakoV1tmx7gUV1uk0dR+uBAMKyB+gccrAEEJaDTR2B90QAYdkTeA47SAIIy0GmzStohKUXpl436lVYykI7n/rkx9RZS0+aBsFeybtXQh4HR1giLD2ayeg3qSsspVfl7/7Fh1lUZ/QtaFwAEJbjyje1bUYAYdmMH3uPjwDCcnw5p8b1CSAs67OLfU+EZewZUqpXYSk9KVddeZE6/tgjp5HS81raPS9jxYmwRFjG2jZjiquOsJQelTJXpXze9uZDsrkqT3vnJ2KqFrFAoBUCCMtWsFJoogQQlokmlmq1RgBh2RpaCk6QAMIywaS+USWEZfy57VVY0sMy/gZChBAIRaCKsLR7Vf7B0eerc446n7kqQyWDcqIngLCMPkUEGBEBhGVEySCUQRBAWA4iTQQZCQGEZSSJaCEMhGULUAMX2auwlKHfl127Rt19yxVq8aIDsqpt3PSMOuXjl6ohrRROD8vArZLikiTgKyztXpXXnPSn6rhF70+SCZWCQB4BhCVtAwL+BBCW/qzYEgJCAGFJO4CAPwGEpT+roW2JsIw/Y70KS8Gjh3+bqFzDxGNGibCMOTvEFguBMmH54Kb71fL7zp2aq1KGf//h5A8fCIyRAMJyjFmnznUJICzrkmO/sRJAWI4189S7DgGEZR1qw9gHYRl/nnoXlvEjKo8QYTmTEauEl7ebsW2RJyy3bt+Srf799Yevz5DIXJV//jvfZvj32BoI9Z1GAGFJg4CAPwGEpT8rtoSAEEBY0g4g4E8AYenPamhbIizjzxjCMkCOEJYIywDNKPkiXMLy2z/9llpx/8X0qkw++1SwKgGEZVVibD9mAgjLMWefutchgLCsQ419xkoAYZlu5hGW8ee2d2EpC+9sfn6LkxSrhMffgPIipIflcHPXVuSmsJRFdWT179sfW5Mdjl6VbVGn3KESQFgONXPE3QcBhGUf1DnmkAkgLIecPWLvmgDCsmvi3R0PYdkd67pH6lVYnnHeSnXQgfupa1aeXzf+KPajh2UUaSCIyAloYfn19f8jk5VPbH08i5i5KiNPHOH1QgBh2Qt2DjpQAgjLgSaOsHsjgLDsDT0HHiABhOUAk+YZMsLSE1SPm/UqLA8/8Ww1tAV2XLlCWPbYgjn0YAg8t+1JdeXfXa5ufvR/ZjHTq3IwqSPQHgggLHuAziEHSwBhOdjUEXhPBBCWPYHnsIMkgLAcZNq8gkZYemHqdSOEZQD8CMsAECkiaQLf/NHN6iv/8CW1ccvPsnrSqzLpdFO5AAQQlgEgUsRoCCAsR5NqKhqIAMIyEEiKGQUBhGW6aUZYxp/bXoWlDAlfesrx6qylJ8VPqiBChOVMOMxhOegmHSx4e67KQxa8Xd2+9B5WAA9GmIJSJYCwTDWz1KsNAgjLNqhSZsoEEJYpZ5e6hSaAsAxNNJ7yEJbx5CIvkl6F5QMPPaq+8OWb1Lo7roufFMKyUo4QlpVwJbmx9Ko056r83Pv+SP3RB1aoF36+Pcn6UikIhCSAsAxJk7JSJ4CwTD3D1C80AYRlaKKUlzIBhGW62UUH+Hb9AAAgAElEQVRYxp/bXoWlzGFZ9GGV8PgbUF6ECMvh5q5p5HkrgP/awkPVbvPmICybAmb/URBAWI4izVQyEAGEZSCQFDMaAgjL0aSaigYggLAMADHSIhCWkSbGCKtXYRk/Hr8IGRLux4mt0ifw4Kb71fL7znWuAK5XCaeHZfrtgBo2J4CwbM6QEsZDAGE5nlxT0zAEEJZhOFLKOAggLNPNM8Iy/tz2LixlWPh5l1w9jdTQVg5HWMbf0ImwXQJbtr2grpksqvP1h6/PDuRaARxh2W4OKD0tAgjLtPJJbdolgLBsly+lp0cAYZleTqlRewQQlu2x7btkhGXfGSg/fq/C8tY771OXXbtG3X3LFWrxogOyaDduekad8vFL1RcvXDaYxXgQluUNjS3SJVDUq9KsNcIy3TZAzcITQFiGZ0qJ6RJAWKabW2rWDgGEZTtcKTVNAgjLNPMqtUJYxp/bXoXlCadeoD71yY/NEJMiMm/8xl2DWYwHYTmzoTOHZfwnf9MIt27for7y0OWFvSoRlk0ps/9YCSAsx5p56l2HAMKyDjX2GTMBhOWYs0/dqxJAWFYlNpztEZbx56pXYSmL7riGf+th4iy6E38DyosQYTnc3PlE7turEmHpQ5NtIDCTAMKSVgEBfwIIS39WbAkBIYCwpB1AwJ8AwtKf1dC2RFjGn7FehSU9LONvIHUjRFjWJRf/ftKr8urJH/m45qrMqwFDwuPPLRHGQwBhGU8uiCR+AgjL+HNEhHERQFjGlQ+iiZsAwjLu/DSJDmHZhF43+/YqLJnDspskcxQIhCDw5Isb1e/+xYedK4D7lI+w9KHENhDYRQBhSUuAgD8BhKU/K7aEgBBAWNIOIOBPAGHpz2poWyIs489Yr8JS8LBKePyNhAghULdXpUkOYUk7goA/AYSlPyu2hADCkjYAgWoEEJbVeLH1uAkgLNPNP8Iy/tz2LizjR1QeIYvulDNii2ESaNqrEmE5zLwTdf8EEJb954AIhkMAYTmcXBFpHAQQlnHkgSiGQQBhOYw81YkSYVmHWrf7ICwD8EZYzoTIHJYBGlbPRYToVYmw7DmJHH6wBBCWg00dgfdAAGHZA/QAh3x2x6vTS5k1y13qzp31j1azzJfVDvXyzh31jxv5ngsXzFebt2zLotxV19cjj5jwqhKYcX5VLYDtpwjstcdc9fIrr6udTa5F8IySwPm/cnCUcRHULwn0Iiz13JVfvHCZOmvpSdPyUfS7UIlbvuJ6de+69VlxRyw5VK1dtSK3aB2P3sC1PcJyJj6EZajW2n05IXtVmtEzJLz7XHLE4RJAWA43d2OMfOrF2CWHjBe8OhJo805LajkAz5ocd+8956qtL+3atsmLusT4UgVR5VJpv5jIn5Cy66WWhZLE+hLCaoynLnWGAAQgMGoCf33IUaOu/xAq34uwPOO8leqgA/dT16w838lIhOJTTz9XKBLrwhUBeeM37lLr7rguK0JiOeboJeriT5+ZG8vyc09TixcdkP1eVjb/yAePm7Y9whJhWbc9xrZf6F6VCMvYMkw8QyGAsBxKpnbFmddTbLPdg8yoVpGIKxJuItR+/oZQc/VHk55SZbLMR4AhsYbVBocY7f6z500LO6d/ZbZNnT6WTcrbc9YctZeaPUSsXjHvNm+22v7qrh6ke86aPfkzx2s/NhoOgf1nzR1OsJFHSg/LyBPUIDx6WDaA19GuvQjLw088W6268iJ1/LFHOqupF+LZ8N3VwTHYgtIWmGUHFJkqH1O2IizLqPH72Am01avSrDc9LGNvBcQXEwGE5a5s2OJu887XZqTJJf5cwu9Z1745QvFZR68+BF7+GSLiyUcO1ZFACy2p5YpCOnbuPm+O+sX2XcNa9xIBU1M2ZTFO9vf+OIYI7jl7bu3ju46bCaWa9fGph5S/F8LKB1Uy2zCHZTKppCIdEGAOyw4g93QI5rDsCXyFw45OWEoPyU998mNTQ9GrylFXj0yEZYUWx6bREWizVyXCMrp0E9BACMQiLGWYqNlbzxaGpiy0JaEIQrNX1HOWHLR7+Q1ZCJo9xUxxt3DW9B5kZvMrEnFFPWNEXE0TatYwbBFuZXLLR4ANSWIxh+VALmyEGQ0BhGU0qSCQARBAWA4gSTVDRFjWBNfhbr0IS5GGl3/unMIell/48k1Tw7ZD8pDenebcmVpY3n3LFVPDvvOOp+ezbKPnZ8g6UhYEfAg8vuVxdeLqE9XPXvhZtvkfn/jHasUJ+fO5+pTJNu0S2P7aDrXb3Ao9f9oNh9J7JvDzHa9PDQ1+5rXtU9FkP5/8kc/TOT83t7G3M/fpuYrqwLm7TQvB/rf8MvTPpMwD5swUjW+aPUfJnzF9tr36upo/6bnIBwIQgEAXBF6dPOfM4zmnC9QcAwIQgMAgCPQiLK+64Ta1/uEf585RWTbHZROydXtYalnpEpv0sJyZERbdadJK29+3q16VZk0YEt5+XjlCvASynopv9DfU8xqaK7Pq3ol6wY85Ey/9nHpdvTZ5eZOPHqLcdS/EN0166+1hDI/d3+oxaPYStIfh2r0EF86eLh/tXn5D6tEXb0sbZ2T0sBxn3ql1fQL0sKzPjj3HR4AelunmnB6W8ee2F2EpWEQcykcvfqNRyc83P79FtdWLsc4clkWyUuJGWCIs4z/Vd0XYxVyVeSwQlkNpJcRpEtCi8eUdr/1SOL4xv6EtGc3FTrRgbLJacVkmRCaK5JOPOfTYXEDBlIbm3Hz2sOGFxuT89kIYZXHwewj0TQBh2XcGOP7QCCAsh5Yx4u2TAMKyT/rtHhth2S7fEKX3JiwleOlpuXrtPdPq8aETjsldPTxEhctWCdcxaWFq/9sVA8JyJhV6WIZoreHK2Lp9i5JelV9/eNeiUW978yHqz3/n2+rgvReHO0hJSQjLzlBzIIuASMNdvRknf7K/X1cvyX9nvR53ZP+tez3qeRVD92R0yUWXWNRSce6cWWrxHnuorS+9mtVGC0V6IdK8ITCTAMKSVgGBagQQltV4sfW4CSAs080/wjL+3PYqLPvCIyt937tufXb4I5YcOm1oui0odY9PO1ZzaDjCsq9MclwfAg9uul8tv+9c9cTWx7PNLzr2C+oPJ3+6/iAsuyae1vH04i960RdZ7MWUjj+fSEe9qIuWjiF6N2rRmK36u3PXcip6GLTuvaglo9lrUQvGur0VY1l0J61WRG1SJYCwTDWz1KstAgjLtshSbooEEJYpZnVXnRCW8ed2lMIydFoQlqGJUl4IAjL8++pJr8rbH1uTFddHr0qzHgjLEFlNpwxZQVr3ajTlo/xcD60OJR5FGmZScbK6shaOer5FWzbqeRX77smIsEynrVOT9gkgLNtnzBHSIoCwTCuf1KZdAgjLdvn2WTrCsk/6fsdGWPpxKtwKYRkAIkUEJfDNH92cycq+e1UiLIOmNerCpAek9H6UodS2gNRiUuZ1bDLUWsSjXvRFD6eWXo57TkSkCEi9qIuWjnV7N8YAGmEZQxaIYSgEEJZDyRRxxkIAYRlLJohjCAQQlkPIUr0YEZb1uHW5F8IyAG2E5UyIzGEZoGHVKMLuVfm+RR9Q1/ynP+10rsq8sOlhWSOhPe+SSchs/sedTgnZpAfkW6XX4xvDrGWItdnjMesROZGQKYjHuilEWNYlx35jJICwHGPWqXMTAgjLJvTYd2wEEJbpZhxhGX9uEZYBcoSwRFgGaEaNi7jpka+pmx65PutVKcO/Za7K0975icblhioAYRmKZPNy7N6QelGa7O9JD0npCVl1/se9JkOuM/H4hmjU0lEPxxYBKfM69j3Uujm9bkpAWHbDmaOkQQBhmUYeqUV3BBCW3bHmSMMngLAcfg7zaoCwjD+3CMsAOUJYIiwDNKPaRUivyt/9iw9PDf8+/bBlmazscgVwn+ARlj6Umm+j54aU1a9FOsrw7LoiUhacWThnt2yxGRGNpoRcOEvmhZz0gpyIyCEPvW5OvJ0SEJbtcKXUNAkgLNPMK7VqjwDCsj22lJweAYRlejnVNUJYxp9bhGWAHCEsA0CkiMoEtmx7Qf3ZpFelzFUpnxh7VZqVQlhWTvGMHXYJyMk8kQ1lpNkbUnpFZvNATuSkFpLSExIJ2TxfTUpAWDahx75jI4CwHFvGqW9TAgjLpgTZf0wEEJbpZhthGX9uEZYBcoSwDACRIioRsBfV+YOjz1fLf/3zasH8fSqV0+XGCMty2o+//srUfJEiJx/fsa3yEG2ZG1L3ftQC8pA5u0/NCXnI7PnlgbBF7wQQlr2ngAAGRABhOaBkEWoUBBCWUaSBIAZCAGE5kETVCBNhWQNax7sgLAMAR1gGgEgRXgTsRXWkV+Wf/863oxv+7aoMwlJNCUgRkeZQbfm3zCtZ9pGekSIc9fBsEZP0iiyjNszfIyyHmTei7ocAwrIf7hx1uAQQlsPNHZF3TwBh2T3zro6IsOyKdP3jICzrs5vaE2E5EyKrhAdoWFYRX5kM/R7K8O+xCks9ZFvLSN1D0ldIvn3uHtl8kXqYtshI3VuSnpHhz6mYS0RYxpwdYouNAMIytowQT+wEEJaxZ4j4YiKAsIwpG2FjQViG5dlGaQjLAFQRlgjLAM0otwh7+Hesi+qUMUilh6Uetq17ST7++qR35GROSfl52UeGZssq2lpI6qHazBlZRm58v0dYji/n1Lg+AYRlfXbsOU4CCMtx5p1a1yOAsKzHbQh7ISzjzxLCMkCOEJYIywDNaEYRMvx7xf0Xq3v+5S+z38nw7z/77bXq8IXvbuNwrZc5JGG5S0a+NrXKtkjJZ99YbbsIlDlkW3pE6h6SCMnWm1dyB0BYJpdSKtQiAYRli3ApOkkCCMsk00qlWiKAsGwJbATFIiwjSEJJCAjLADlCWAaASBFTBFzzVF507BfUae/8xKApxSYszeHaMoTbV0rqYduHzJmfDdfeJSXnZnNL8oFAKAIIy1AkKWcMBBCWY8gydQxJAGEZkiZlpU4AYZluhhGW8ecWYRkgRwjLABApIiNw0yNfm/y5Xj2x9fHs30Md/u1KZx/CUhay2bhje7bYjZaSPsO39dBtLSX1QjdISU7UrgggLLsizXFSIICwTCGL1KFLAgjLLmlzrKETQFgOPYP58SMs488twjJAjhCWASCOvIhU5qksSmObwlIP4ZZ5JH0XukFKjvyki7z6CMvIE0R4URFAWEaVDoIZAAGE5QCSRIjREEBYRpOK4IEgLIMjDV4gwjIAUoTlTIisEu7XsB7cdL9aft+5Uz0qZZ7KFIZ/u2rfVFjq3pIvTxa4eez1l7P5JZ+dzDNZtNjNm2bNUYsnQ7X3nDU7G7ItkpLh235tk636JYCw7Jc/Rx8WAYTlsPJFtP0TQFj2nwMiGA4BhOVwclU1UoRlVWLdb4+wDMAcYYmwrNqMZJ7K5f/Puep7m/4m2zVlUanZ+ApL1zBu6TUpP8/7TOstqSbzSU7E5OLZuylZBIcPBIZIAGE5xKwRc18EEJZ9kee4QyWAsBxq5oi7DwIIyz6od3NMhGU3nJscBWHZhN4b+yIsEZa+zci1oM7pk8V0/nCyqE7qH1tY1hWT+7+xwA29JVNvMeOuH8Jy3Pmn9tUIICyr8WJrCCAsaQMQ8CeAsPRnNbQtEZbxZwxhGSBHCMsAEBMvwhaVUl0Z+i2L6hy89+Kka6/F5L/OflU9p15T/98rL2fzTOb1mNTDuBdOVt/OhnEbQ7qTBkXlIGAQQFjSHCDgTwBh6c+KLSEgBBCWtAMI+BNAWPqzGtqWCMv4M4awDJAjhGUAiIkWsWHzD7KVv29/bM1UDVNa+dtMW9UekzJce9e8kvPVQoZxJ3oGUK26BBCWdcmx3xgJICzHmHXq3IQAwrIJPfYdGwGEZboZR1jGn1uEZYAcISwDQEysCFlM5ysPXT41R6VULxVRWVdM/ofddle/Mm++euurc5lfMrH2TnXCE0BYhmdKiekSQFimm1tq1g4BhGU7XCk1TQIIyzTzKrVCWMafW4RlgBwhLGdCHOsq4d/80c3q6omofGLr4xkUWUzn5F/9qDrnqPMHN/S7rpjMekzO2jWc21z4xnfRnQCnJEVAYPAEEJaDTyEV6JAAwrJD2BwqCQIIyyTSSCU6IoCw7Ah0D4dBWPYAveIhEZYVgbk2R1iOW1jK/JQ3PXK9uudf/nKaqJQ5Ko9b9IHoRWVVMannmKw6lBthGeBiQxGjIYCwHE2qqWgAAgjLABApYlQEEJajSjeVbUgAYdkQYMS7IywjTs4boSEsA+QIYTlOYSnDvm+f9Kg056eUHpUiKk+brPwd26eqmNRzTO45a7Y6bM6ejRe/QVjG1iKIJ2YCCMuYs0NssRFAWMaWEeKJnQDCMvYMEV9MBBCWMWUjbCwIy7A82ygNYRmAKsIyAMSBFCG9KUVQiqjUw74ldJmf8vSJpDxu0ft7r0nfYjIPAMKy96ZBAAMigLAcULIItXcCCMveU0AAAyOAsBxYwgi3VwIIy17xt3pwhGWreIMUjrAMgBFhGQBixEWIpHxw099MROXN0xbR0b0p+xr2/fiObWrzztfU46+/ouS/X965I/tbhKXro4dyh+oxWTVlCMuqxNh+zAQQlmPOPnWvSgBhWZUY24+dAMJy7C2A+lchgLCsQmtY2yIs488XwjJAjhCWASBGVkSepJQwu+xN+eyOV3dJyUxOvjqRkxMhqSZiciIp8z56KLc5x+TCWXPV/rPn9UoZYdkrfg4+MAIIy4EljHB7JYCw7BU/Bx8gAYTlAJNGyL0RQFj2hr71AyMsW0fc+AAIy8YIlUJYzoQ4xFXCZU7KDZt/oL49WTzne5MelebnfZPFc04/7BPqQ4d+RC2Yv0+AVvPLIszekSIlRVI++0bPyaIDHTJnd7WXmq3yVuUOGmSAwhCWASBSxGgIICxHk2oqGoAAwjIARIoYFQGE5ajSTWUbEkBYNgQY8e4Iy4iT80ZoCEuPHC1fcb26d936bMsjlhyq1q5aMW0vhOUwhaXIyX+e/JHVveW/zTkppUYn/+pHsz9Nh3zrXpIvv9Ezctff5T0lJQbdW3LhpHfkIbPnZ70kpbek/PfQPgjLoWWMePskgLDskz7HHhoBhOXQMka8fRNAWPadAY4/JAIIyyFlq1qsCMtqvPrYGmFZQv3WO+9TN37jLrXujuuyLc84b6U65ugl6uJPnzm1J8IyfmEpQ7xFSm549pHJfJS7elJu2fbCtMBlTkqRkyIpf+Og4716UkpPyM2THpHy2dVT8vWsd6T87Nk3ekuWndgiIfefNRGR2d8TGTnpOSlSUv6IsEzlg7BMJZPUowsCCMsuKHOMVAggLFPJJPXoigDCsivSHCcFAgjLFLLorgPCMv7cIixLcmQLSltgyu4Iy3gauojIrdu2ZELyyRcfnwjKiaR0yEmJWATl4QvfPa0XpSxYI4vXyLyR8pEh2i9N/m2KSPm5r4yUbXUvSVnsZlcPyV29JeXfQ+wpWTfbCMu65NhvjAQQlmPMOnWuSwBhWZcc+42VAMJyrJmn3nUIICzrUBvGPgjL+POEsCzJ0QmnXqA+9cmPqbOWnpRt+cBDj6rzLrlabfju6qk9EZbhGro9LFt6RuqPCEj56G2emPzuya2Pqy3bt+z62+oxaUY1d7e91Zv2XZL9WfQr/1G9feERar83HZxtIvJRJGXe6tpFtZOVtxfO2U3tuXPWVA9JLSXHJiTLWgHCsowQv4fALwkgLGkNEPAngLD0Z8WWEBACCEvaAQT8CSAs/VkNbUuEZfwZQ1iW5OjwE89WX7xw2QxhefctV6jFiw5Qs1bOij/LI4pQhKSWk7u/6aApSSk/8/m8afYcJX8OnLtbtrn8bf5M//yAOfOmtvEpl20gAAEIQAACEIAABCAAAQhAAAIQgAAE/AggLEs4lfWwRFi6Ae6udlcXTv735cn/qnxEMpof89/77L6Pkj/6Z/K3/BEZ+fZ93p79rT9aMsq/p/33ZBh29u85c7O/5SPyUT5aRlaJl20hAAEIQAACEIAABCAAAQhAAAIQgAAEwhJAWJbwZA7Leg1u+/Zt6tbVN6rfO/eCegWwV3IEGBKeXEqpUIsEGBLeIlyKTo4AQ8KTSykVapkAQ8JbBkzxSRFgSHhS6ZxWGYaEx59bhGVJjlglvF4jRljW45byXgjLlLNL3UITQFiGJkp5KRNAWKacXerWBgGEZRtUKTNVAgjLVDO7az5fPnETQFh65Gf5iuvVvevWZ1seseRQtXbViml7seiOB0Q2GT0BhOXomwAAKhBAWFaAxaajJ4CwHH0TAEBFAgjLisDYfNQEEJbpph9hGX9uEZYBcoSwDACRIpIngLBMPsVUMCABhGVAmBSVPAGEZfIppoKBCSAsAwOluKQJICzTTS/CMv7cIiwD5AhhGQAiRSRPAGGZfIqpYEACCMuAMCkqeQIIy+RTTAUDE0BYBgZKcUkTQFimm16EZfy5RVgGyBHCciZE5rAM0LASKwJhmVhCqU6rBBCWreKl8MQIICwTSyjVaZ0AwrJ1xBwgIQIIy4SSaVUFYRl/bhGWAXKEsERYBmhGyReBsEw+xVQwIAGEZUCYFJU8AYRl8immgoEJICwDA6W4pAkgLNNNL8Iy/twiLAPkCGGJsAzQjJIvAmGZfIqpYEACCMuAMCkqeQIIy+RTTAUDE0BYBgZKcUkTQFimm16EZfy5RVjGnyMihAAEIAABCEAAAhCAAAQgAAEIQAACEIDAaAggLEeTaioKAQhAAAIQgAAEIAABCEAAAhCAAAQgAIH4CSAs488REUIAAhCAAAQgAAEIQAACEIAABCAAAQhAYDQEEJajSTUVhQAEIAABCEAAAhCAAAQgAAEIQAACEIBA/AQQljVztHzF9eredeuzvY9Ycqhau2pFzZLYDQJpE7j1zvvUZdeumaok50va+aZ24Qhs3PSMOuXjl6qzzzhZXfzpM8MVTEkQSIyA+Uz2oROOUdesPD+xGlIdCIQh8MBDj6rzLrl6qjDuL2G4UkpaBK664Ta1/uEfz3i/t99pNnx3dVoVpzYQiJAAwrJGUuRideM37lLr7rgu2/uM81aqY45ewgtlDZbskj4BeZFcfu5pavGiA7LKnnDqBeojHzyO8yX91FPDBgS0rFy47wLOlwYc2TV9AvIMJh++OE4/19SwGQF9X1l15UXq+GOPVPa/m5XO3hAYPgFTSNodLPT5cvctV2TvNHlSc/gUqAEE4iKAsKyRD1tQ2gKzRpHsAoHREBCBKR96wIwm5VS0BoHDTzxbyUPxxX9yI1+I1eDHLuMgIL3FvvDlm6a+QB5HraklBOoR0L0rzV5h8iXypz75MXXW0pPqFcpeEEiQgLyrPPX0c9O+CLMFpS0wE8RAlSAQBQGEZY002Dd31wNAjWLZBQKjIECP5FGkmUo2ICCyUveA4XxpAJJdkycgL5Df+s6DavPzW6bq+sULlyFfks88FaxLQO4pP/zxT7MvxDZu+jeEf12Q7Jc0AZewdHW4MJ/XkgZC5SDQIwGEZQ34cnEyH4i1sNRdxGsUyS4QGAUBPdSCOV9GkW4qWYOA/YUYwrIGRHYZDQH7pVI/j2nhPxoQVBQCngRsyc8clp7g2GxUBFzCUp7HDjpwv2kjxGwnMCpIVBYCHRFAWNYATQ/LGtDYZfQEtKxE7I++KQAgh4AeXuT6NQuJ0GwgMJOAq8cLQ1xpKRBwE3BNoSDCBWlJi4HAdAL0sKRFQCAeAgjLGrlgDssa0Nhl1ASQlaNOP5VvQIAelg3gsWvyBFyLHiAsk087FaxJwHW+uHqN1Sye3SCQDAHmsEwmlVQkAQIIyxpJZJXwGtDYZbQE5AF59dp7FMPAR9sEqHgDAgjLBvDYNXkC9irHTDuSfMqpYAMC9pQJ+vxh3tcGUNk1SQIuYckq4UmmmkoNgADCsmaS5EJ277r12d5HLDl02ipiNYtkNwgkSUB6u5gLIuhKMjQ8yXRTqcAEEJaBgVJccgS0hOHeklxqqVALBLTU10UjK1uATJGDJWCfH1IRc05k+/d0xhhsqgl8QAQQlgNKFqFCAAIQgAAEIAABCEAAAhCAAAQgAAEIQCB1AgjL1DNM/SAAAQhAAAIQgAAEIAABCEAAAhCAAAQgMCACCMsBJYtQIQABCEAAAhCAAAQgAAEIQAACEIAABCCQOgGEZeoZpn4QgAAEIAABCEAAAhCAAAQgAAEIQAACEBgQAYTlgJJFqBCAAAQgAAEIQAACEIAABCAAAQhAAAIQSJ0AwjL1DFM/CEAAAhCAAAQgAAEIQAACEIAABCAAAQgMiADCckDJIlQIQAACEIAABCAAAQhAAAIQgAAEIAABCKROAGGZeoapHwQgAAEIQAACEIAABCAAAQhAAAIQgAAEBkQAYTmgZBEqBCAAAQhAAAIQgAAEIAABCEAAAhCAAARSJ4CwTD3D1A8CEIAABCAAAQhAAAIQgAAEIAABCEAAAgMigLAcULIIFQIQgAAEIAABCEAAAhCAAAQgAAEIQAACqRNAWKaeYeoHAQhAAAIQgAAEIAABCEAAAhCAAAQgAIEBEUBYDihZhAoBCEAAAhCAAAQgAAEIQAACEIAABCAAgdQJICxTzzD1gwAEIAABCEAAAhCAAAQgAAEIQAACEIDAgAggLAeULEKFAAQgAAEIQAACEIAABCAAAQhAAAIQgEDqBBCWqWeY+kEAAhCAAAQgAAEIQAACEIAABCAAAQhAYEAEEJYDShahQgACEIAABCAAAQhAAAIQgAAEIAABCEAgdQIIy9QzTP0gAAEIQAACEIAABCAAAQhAAAIQgAAEIDAgAgjLASWLUCEAAQhAAAIQGB6Bq264Ta1ee8+MwDd8d7W69c771GXXrlFfvHCZOmvpSdO2Wb7ienXvuvXq7luuUIsXHaCKyvn/27tjFzuqKA7A8x8IMcKSzkJENIUiqQJrJQmCiBYbEMN2MaBYyCpoIbEQEUTEJgErrdKIBAbkvNQAAAezSURBVMHCIgiBgGClFlaCaExIFPwP5Aycx2Qyb3ae+95yhnyv23nz7pz73bPNjzsz1374qTn31sejOHGN+MT1hj5ZQ9b0xKMPN5cvvXfXqVnD0Hd54uPP7I7W8ez20+33Mbf87O6cavbOn2l+//NWc/rlt9vD4dP9dOeY32WtY/OZX8eomAABAgQIECBAQGCpBwgQIECAAAECGxLI0LEfvsXxE08+1oaUGQJ2z8lw7tJHbzYnTxxvpozTnUKcf+Pm3/cEjhnw9evp/rYbAmZYmt9vv/hGc+eff5uxwHJorKHr5Ry71+gGlv0QNw26YeaU+WxoaQ1LgAABAgQIECCwQQGB5QZxDU2AAAECBAjc3wKx2zB3D45JRBD41PFHmk8uvNae1v976jh5jYMGlhe/uNLWE5+sKcLBOL710JH2eH/35dD8xgLFscAyzL757nrz/VeftsNmkBm7M2NnZn+H5VgAe393oNkTIECAAAECBOYpILCc57qpmgABAgQIEJiBQD94XFZyd0fl9R9/uSusi99MHSfHX0dg+eVn77S3Z+cOyJ1zF5oXTp9svv722sYDy7jmK69/0Lx69vnFLtQbN+80x7aOtrfXCyxn0PxKJECAAAECBAgcQEBgeQA8PyVAgAABAgQIjAkMPWNx2W7A7i3PeSt4jr3KOPGb/QLLoZq7z7CMnZSxuzFCymNbDzYvPbfdvPvh54tj8ftN7rCMwPLylauL4DZ2mOaxocBybD46lAABAgQIECBAYH4CAsv5rZmKCRAgQIAAgRkK5PMfs/R+KBnHI5iL257zNuyhaU4ZZ7/Acr9nWGZgmTs/45mVsbsynrkZIeZhBJbxoqHwiGtHaBom/ed9eoblDP8RlEyAAAECBAgQmCAgsJyA5BQCBAgQIECAwDoFInSMZ0H2dymueuv3snHWFVjGnCOg/PnX3xa3YR9mYJkBZYa7Ast1dqGxCBAgQIAAAQJ1BQSWdddGZQQIECBAgMCMBeJFMXFb8975M/fMYlnoNxRY/p9x1hlYxi7GP/66vZjHYQaWMfe99y8ugl2B5Yz/IZROgAABAgQIEFhBQGC5ApZTCRAgQIAAAQJTBfLN1kePPLB423X8Nm9jHrolfFlgGS+/WWWcdQaW/fkeZmDZv7bAcmr3OY8AAQIECBAgMG8BgeW810/1BAgQIECAQHGBeA5j/5Nv3u4fH7slfJVx9gssh8iGXrozdN46AsvuC4biGrs7p9odnBnyLvNZFliOzad4eyiPAAECBAgQIEBgQEBgqS0IECBAgAABAgQIECBAgAABAgQIECgjILAssxQKIUCAAAECBAgQIECAAAECBAgQIEBAYKkHCBAgQIAAAQIECBAgQIAAAQIECBAoIyCwLLMUCiFAgAABAgQIECBAgAABAgQIECBAQGCpBwgQIECAAAECBAgQIECAAAECBAgQKCMgsCyzFAohQIAAAQIECBAgQIAAAQIECBAgQEBgqQcIECBAgAABAgQIECBAgAABAgQIECgjILAssxQKIUCAAAECBAgQIECAAAECBAgQIEBAYKkHCBAgQIAAAQIECBAgQIAAAQIECBAoIyCwLLMUCiFAgAABAgQIECBAgAABAgQIECBAQGCpBwgQIECAAAECBAgQIECAAAECBAgQKCMgsCyzFAohQIAAAQIECBAgQIAAAQIECBAgQEBgqQcIECBAgAABAgQIECBAgAABAgQIECgjILAssxQKIUCAAAECBAgQIECAAAECBAgQIEBAYKkHCBAgQIAAAQIECBAgQIAAAQIECBAoIyCwLLMUCiFAgAABAgQIECBAgAABAgQIECBAQGCpBwgQIECAAAECBAgQIECAAAECBAgQKCMgsCyzFAohQIAAAQIECBAgQIAAAQIECBAgQEBgqQcIECBAgAABAgQIECBAgAABAgQIECgjILAssxQKIUCAAAECBAgQIECAAAECBAgQIEBAYKkHCBAgQIAAAQIECBAgQIAAAQIECBAoIyCwLLMUCiFAgAABAgQIECBAgAABAgQIECBAQGCpBwgQIECAAAECBAgQIECAAAECBAgQKCMgsCyzFAohQIAAAQIECBAgQIAAAQIECBAgQEBgqQcIECBAgAABAgQIECBAgAABAgQIECgjILAssxQKIUCAAAECBAgQIECAAAECBAgQIEBAYKkHCBAgQIAAAQIECBAgQIAAAQIECBAoIyCwLLMUCiFAgAABAgQIECBAgAABAgQIECBAQGCpBwgQIECAAAECBAgQIECAAAECBAgQKCMgsCyzFAohQIAAAQIECBAgQIAAAQIECBAgQEBgqQcIECBAgAABAgQIECBAgAABAgQIECgjILAssxQKIUCAAAECBAgQIECAAAECBAgQIEBAYKkHCBAgQIAAAQIECBAgQIAAAQIECBAoIyCwLLMUCiFAgAABAgQIECBAgAABAgQIECBAQGCpBwgQIECAAAECBAgQIECAAAECBAgQKCMgsCyzFAohQIAAAQIECBAgQIAAAQIECBAgQEBgqQcIECBAgAABAgQIECBAgAABAgQIECgjILAssxQKIUCAAAECBAgQIECAAAECBAgQIEBAYKkHCBAgQIAAAQIECBAgQIAAAQIECBAoI/AfzQpNDkrzMkwAAAAASUVORK5CYII=", "text/html": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Let's look at a bin FAR from the central bin 4\n", "bio.plot_history_single_bin(bin_address=0, vertical_lines_to_add=[0.7], \n", " title_prefix=\"Dashed vertical line at time when the membranes were made permeable to `B`;\" \\\n", " \"
notice the SLOW arrival of `B` by diffusion, and the subsequent formation of `A` by reverse reaction.\")" ] }, { "cell_type": "code", "execution_count": null, "id": "eb14d7e6-b6ef-447c-ba48-3d1d0ebdc16c", "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 }