{ "cells": [ { "cell_type": "markdown", "metadata": { "id": "0qBL2UHjizx4" }, "source": [ "# Point clouds\n", "\n", "We cover in this tutorial how to solve OT problems between two pointclouds by instantiating a {class}`~ott.geometry.pointcloud.PointCloud` geometry." ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "import sys\n", "\n", "if \"google.colab\" in sys.modules:\n", " !pip install -q git+https://github.com/ott-jax/ott@main" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "O2Qs8m9SN1ag", "outputId": "ed53b82f-b649-4836-994a-453b16377772" }, "outputs": [], "source": [ "from IPython import display\n", "\n", "import jax\n", "import jax.numpy as jnp\n", "\n", "import matplotlib.pyplot as plt\n", "\n", "import ott\n", "from ott.geometry import costs, pointcloud\n", "from ott.problems.linear import linear_problem\n", "from ott.solvers.linear import sinkhorn" ] }, { "cell_type": "markdown", "metadata": { "id": "BDa8wUQbjmuH" }, "source": [ "## Creates a PointCloud geometry" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "id": "KWaZWthyjkMp" }, "outputs": [], "source": [ "def create_points(rng, n, m, d):\n", " rngs = jax.random.split(rng, 3)\n", " x = jax.random.normal(rngs[0], (n, d)) + 1\n", " y = jax.random.uniform(rngs[1], (m, d))\n", " return x, y\n", "\n", "\n", "rng = jax.random.PRNGKey(0)\n", "n, m, d = 13, 17, 2\n", "x, y = create_points(rng, n=n, m=m, d=d)\n", "geom = pointcloud.PointCloud(x, y)" ] }, { "cell_type": "markdown", "metadata": { "id": "GlYR-g94kI-E" }, "source": [ "## Computes the regularized optimal transport\n", "\n", "To compute the transport matrix between the two point clouds, one defines first a {class}`~ott.geometry.pointcloud.PointCloud` geometry \n", "\n", "A {class}`~ott.geometry.pointcloud.PointCloud` geometry holds two arrays of vectors (supporting the two measures of interest), along with a cost function (a {class}`~ott.geometry.costs.CostFn` object, set by default to {class}`~ott.geometry.costs.SqEuclidean`) and, possibly, an {class}`~ott.geometry.epsilon_scheduler.Epsilon` regularization parameter.\n", "\n", "This geometry object defines a {class}`~ott.problems.linear.linear_problem.LinearProblem` object, which contains all the data needed to instantiate a linear OT problem (see the {doc}`gromov_wasserstein` tutorial for *quadratic* OT problems).\n", "\n", "We can then call a {class}`~ott.solvers.linear.sinkhorn.Sinkhorn` solver to solve that problem, and compute the OT between these points clouds. Note that all weights are assumed to be uniform in this notebook, but non-uniform weights can be passed as `a=..., b=...` arguments when defining the {class}`~ott.problems.linear.linear_problem.LinearProblem` below." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "EPZ1m4nwkIQO", "outputId": "eb7eaf8c-5b27-444b-b50e-3139e0e89192" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " Sinkhorn has converged: True \n", " Error upon last iteration: 0.00068787485 \n", " Sinkhorn required 6 iterations to converge. \n", " Entropy regularized OT cost: 1.4432423 \n", " OT cost (without entropy): 1.2848572\n" ] } ], "source": [ "# Define a linear problem with that cost structure.\n", "ot_prob = linear_problem.LinearProblem(geom)\n", "# Create a Sinkhorn solver\n", "solver = sinkhorn.Sinkhorn()\n", "# Solve OT problem\n", "ot = solver(ot_prob)\n", "# The out object contains many things, among which the regularized OT cost\n", "print(\n", " \" Sinkhorn has converged: \",\n", " ot.converged,\n", " \"\\n\",\n", " \"Error upon last iteration: \",\n", " ot.errors[(ot.errors > -1)][-1],\n", " \"\\n\",\n", " \"Sinkhorn required \",\n", " jnp.sum(ot.errors > -1),\n", " \" iterations to converge. \\n\",\n", " \"Entropy regularized OT cost: \",\n", " ot.reg_ot_cost,\n", " \"\\n\",\n", " \"OT cost (without entropy): \",\n", " jnp.sum(ot.matrix * ot.geom.cost_matrix),\n", ")" ] }, { "cell_type": "markdown", "metadata": { "id": "fHsyN3gRkNu1" }, "source": [ "The `ot` output object contains several callables and properties, notably a simple way to instantiate, if needed, the OT matrix." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 255 }, "id": "VCNc8Ptykdk6", "outputId": "4c315d26-b6f3-46f4-ec35-38dd519a6a26" }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# you can instantiate the OT matrix\n", "P = ot.matrix\n", "plt.imshow(P, cmap=\"Purples\")\n", "plt.colorbar();" ] }, { "cell_type": "markdown", "metadata": { "id": "qCIBjOZMIlFZ" }, "source": [ "You can also instantiate a `plott` object to help visualize the transport in 2D." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 265 }, "id": "LOHQHnzzSsqd", "outputId": "8d184866-171e-49b6-bb1b-78d529143e41" }, "outputs": [ { "data": { "image/png": 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FCxfi8+3+MhW7w14VL//5z38oLi7mmGOOIT09/Y+f4JOwceNGtmzZ8sfvQ4cOZfLkybz44ov06dOHjz76iE8//bRJk++BjpEIvj7gdEG/JbA5DapCIWMDpG6F3n64DngMCZcqE7KAi1EkxsbG5uDGC3wG/AMYANyCjLmfAreidPH/lcCiBbAiDBx+SM2HtZ2hbQVs7CDR0s3a1ubAxuFwEBoaht+9Z1bt9rsrCA0N229VYrNmzeKRRx4hLS2NE044gV9++YWHHnpovxxLgH3a52VfsC/7vLSEnGlgPgGVxfDU5XDyL7CyM2xuDUf2gie6QYYBT5gKCacDbQ2YjRpU9dm/h29jY7MLmMBPKD10Iqoi+h31bzkdGAQsAN4ogG1LYGUsuDyQvh0W9YGOHljSFk4wNB7cC4Tup/dyqGN7XhqmpKSEPn36kJ2dzddff02/fv3o1asXhYWFzJo1i8GDd25IPug8LzY1JA+B8giIslJHsSWwLgv6LYDqjTDIhKUmfG7Ak6jyaKupAe8vwLSmd29jY3OA8TtwH/K33AscDvwH+BG40/r9PeCzLZC9XMIlzA1tN8OSXtDTB2vaQkcDuhlwBbZwOZg4+siheHMW7fYq4KbfhzdnMUcNbdj3ubeZNGkS2dnZTJo0iZNPPpnU1FRefvllvF4vF154YZMd8/cmtnjZR4SHw4ahEG2ljn7tAUctAl8YzC+FcR7dlT1jgsfQoJcN5JgwBvgnGugOqTCZjc0hSKCd/y8oJXQmiq78HRgGXI38LA8DpathVg7kREBkBXTcBAv7QH8HbGgNoQZcayhdtPNyB5sDiUsvvRR38Q4q18zZrf1Urp6Du3gHl1566R46subz4Ycf8tZbb9GjR49aHXZPO+00rrzyStasWcMNN9ywz48LbPGyT8k5BiJd0D4HslvD8AUSMcN/gLk5MBD9XAN0N+B6VEq53oTzgA+Ap9HAZ2Njc2BRhCIr7yPD/RWAD3gcWImiLz2B1cDDJnRaAK+XQmEIxJVB500wvx8MiIAtmVBswIOGtj9zv7wjm92hf//+DBt+DCUzXsNfXbVL+/BXV1Ey8zWGDT9mn/d4yc3NZcKECYSGhvLOO+8QEVHbfPzkk0/SuXNnXnnlFT755JN9emxgtxPZp7h6gzsJosqVOlrfCnqsAyMCsrPhqo6wwoR1wC0GvGRAvgmfAC7gfGT6uxe4GzuEbGNzIFCFjLcrgQuALihCGuiWeylqhWAC/wPm+6HPbPhnJJh+SCyGdnkwZyD0i4PiRBn1rzZgGSqftu8yD05eefklevbqTeG3z+3S2kaF3z4HFUW88vK+bwaXmZlJQUHjNa9RUVGsWrVqHx5RbezvxD6kjQNyj1HqqP9i+KU7jJkHUwfAyMnwYRVcbMAJKOT8JjAOOBpYY2ogOwfIQ2WVpfvrjdjY2OAHvgMeRCmde5Bw2QY8BBSj9G8HwI2ipkV+SPwJHosCvJCSDx03w7x+0DMFSJRXZhjQEXXbrb1Yis3BRKdOnXjt1VcoXzadgilPNjsC46+uomDKk5Qvm85rr76yXxZlPNCxxcs+pA2w/FiICoV2m5Q6iiqFuCL1gCldBS5Dg9W5pga73630UTdgnQlLUZUCwM1ooLSxsdl3mMBcJFa8wP2oO66JIqPPo75NZwJOYDMSOEd5YOXP8GIsOKshYxu03wrz+0O3TIiJg/kmtEWR1/XoRsbm4OaCCy7g7bffxrN2NtveuI6KlT83auI1/T4qVv7Mtjeuw7N2Nu+88w4XXHDBPj7igwM7bbQPaQ183AZO7wQRC5U6WpYE58yBD4bD0e/D5D7wV+B+U3defzXgHQPuNOH/gA0mOA01t/oRRWDuQdva2NjsXdaiMuf26PsYcAFsAF5FkZK7qVmf7GfgW+DqSnhgIfwarYqizK2QUQhz+0H7tpAeCT+aEG7A4wZ8jL7b9jpnhwZjx45l0KBBXH7Flcz89O+ExSUR0ro3oSkdcIRF4ndXUL1tHd6cxbiLdzD8mGN5+aUX7YhLE9iRl31IGAofG8dCdKhSRz93h86FUOaANhvBsQMWGnC2AUegFNHfUETmPmsfuSYsQdVJPdCd3/z985ZsbP4UBNr5/w8Z6sch4eIB3kGVgDcAI5Dg8CExswy4uQxuWAq/RkBkpUqhs/JhcR/I6gQ9I9UmocyA2wxYCJwKxO3j92izd+nUqRMzpk9j3rx5XHnR+XQOLaZ81lvkf/005bPeonNoMVdedD7z5s1j+rSptnDZCXbkZR8TAniHQ9TLSh19PgLKvXDar/DDIOj+P/jyQnjA0J3YDSY8YaiC4XxDEZk7gTwTHIa6dcahgfUi1BfGxsZmz1COqvzygLEopRNgBfAWMMp6LBAlKQCeBY4DuhfCWdlQ6ILYMsjYCqkl8HtfSOoGw0MVQd1gwBnWwqzTURrK5tCkf//+tSqH/H7/fuucezBjn7F9TCaQGwdhh0OYsyZ1dEQurEyGQbMg2oSv0AKNi00YbcJLyMiXaMBdQAlQYHlgOqE7tbdRSNvuBWNjs3sE2vk/gm4Q7qBGuFSh7+O3KMV7JDXCZSkqjb4USNsGp21UCXWrYsjMg7RiWN0bog+Ds8IUZVkC9DPkYXsPlVjb/HmwhcuuYZ+1fUwbYCPAsao6GrAYZnWXse/Y+TCnDcQu0bIAIQacYii/7kBNrYqB1tZAtx0oNSVqElAo+3u00Nv+XTLLxubgxESRkHtRRPN+oHfQ4/OBB1B33OuBmKDn/RcJmruB3FwYmwdeH6QUQNpWSC+Bjb3B1QcuD4WfTJiH1jF7GJiMIjh7Zik/G5tDG1u87GPaADkAgyAqDtpuguxMpY5GrIJZneDk6ZCEwtXDUMj6/0xYjjrtmqiJ3eWoksFrPWagu7alqFRz19oi2dj8OQm089+OxMsx1ERUSlFqdj4SJ32DnleOFlUNBW4CvsyGSTvA4ZExNykf0kohryf4+sGkEPjWVFQ1GviLoe9xHHDYXn6PNjaHCrZ42cdkIfFihEL4MHA5IGszLEuESBP6roCN+VDq1nbbDTWp+tqEm0yYiSoRAAYbcAaqdHCaapJVhlaozkMDcNG+foM2NgcZm6jfzj/QADIQiXkEeVuuAIKXlctGbf9PB04BnloLDxdDWDV02AQxpZBeCoU9oWwA3OSEKSasNcFtwJmGhNBXKOpiY2PTPGzxso8JA6qt/xvHWamjJTCzuwbK0xbBl93hnNmKvryDfC7HGfqw2qOIzO/WPk4yVJ65DogFViHhcitQicLeufvs3dnYHDwUUb+df0zQ4zuQaMlFEZkudZ4/FfnMbge6AresgrfKIMoNnTdAqBsySqC8FxQMhBuc8JUJO0zYbMARhtY5CvSFce29t2pjc8hhi5f9QAgqsaQHRGTWpI4qvZDigfTNUP07bEWCZg1wErDKhL+YulN8Fpl2QesedQR+NyENCZi1yGRoAI+itJKNjY3Sqe+hJpDHA7eg700AE/gafcfGoWU5gssyq4F/o5Xf7wSi/TB2BcyogNhK6Loe8Eu4eHpD3kCY6FT1YBWw3IAelvF+GmpA2W5vvmEbm0MQW7zsBzLR3ZxhQPSJMuZmbYbfk/T4mN/go2g4o0A58ckABkww4C0THjdVpfAUGmgNAyYg0+5cq7ndauR9uQsZAF9EYXEbmz8rfmSofQBFMO+mfjQl13rch9Kures8vo0aw+44oMIHo1fC6kpoVQ7d1oLXgMwScPSFTQPhIofKqg3gV2S4vwXdwMyhpmO2jY1N87HFy37gj4oj1LAuKih1BNCxHMwqaDVHRr4M1I483ZDPJQ8YDSyixv/isCqQQoGZZs3qtXPRIB2LFnicsk/eoY3NgUNwO38favo4mNrda73Ah8AbKJVzCvW7285F0ZjrkHjZ7IFRK6GwEtJKoMs6cLsgsxQi+sP6/nCaAyqAKhNmoBuMc1AF0wvYiy7+2TDN5jWyaO52f2bs781+oJZ4yYCww5Q6Wp8BVT59KKfOgcllMuQaaNVaH+rnMs+ES0wNit+jLp4AoYZaivuQwfdwlHL6CbUyT0B3eq9j94Kx+XOwFlXerUTfgZGoLUEwa5A3LAmlWpPrPO5H3rM5KJKZAiyqhLNWQnUVtCmE9hugIlTCJX4ArO4LwxxKR6034RdT+zncUJr3Y7TgasreeNM2ByRTp04lPS2VF198scntXnzxRdLTUpk6deo+OrKDE1u87AeykG8lQMxJipxkbYalVuqo/3bYVgVtshXKHoBWsHVY6aMXTf0sAl6mxv8SbQkYL/BfUwPkWpRbvx0N0DnAk1i+GxubQ5DG2vkH4wZeAz5HBvdjqR9tKUHVRGnAtSiy+WUZXLkGDDd03gbpm6A8FLLKIWUgLOsNfRxa3mOmCStM2GaovcEtaMHF9agDr82fg6lTp3LK6FG4qvKZMGFCowLmhRdeYMKECbiq8jll9ChbwDSBLV72A8EVRwAhwyAyvHbqyAUcOxc+ylbpZiEq2axCOfMeBixGqaLlKJwdiKYkWStRe4G3Ta1Muw6Jn+tQHr8SDcrle/ON2tjsY8qRIHkFfW+uBVo1sN1ilD7qib5DDa0jtBJVG41Dxl6A5wrhb+sgtAp6bYL4bVAZBllVkHU4LO4NHR167Q9NKDRhvSVcbkLi5xXkUbMXXfxzEBAuw7JMVk2KYtLhoQ0KmBdeeIGJEydy3aBQVk2KYliWaQuYJrDFy37ij4ojwIgB52Cljtalg9uvvx+zHhYUQ2efKhuORV08Ac5Gd3XHmDIAbw56DCRwLkMh8pdN5fDXA98Al6AFHR1IwOzYi+/TxmZf4KF+O/82DWxXDjxHTSr18Aa2MYEvUar2TmTuNYG/boM3NkJEFRyeDa4SeVyy3NBhEMzrKV/aFSgqGgYsM6CjAeciI/1bwBjsRRf/LAQLl0/PCyPCZfD0yLB6AiZYuDx1srb79LwwW8A0gS1e9hOBiqMAiSP0YbTOhSVW0j0KGPQbfL1OYmU9ys8XoAqlKwyZ/p620ke/UrskuruhSoZI4DlTd4PZKJR+BuoP40JrsWTvpfdpY7M3CTSRu4+G2/kHMxuJ9WOQKTeygW2qUEq1GqVZo1AE85LNMHUzxFTCUavB7QaPE7K80G0wzOkOCZZp/lm0DtJvKAraDy2Yutjaf0OCyebQo65wCQ9RrM0waguYcePG1RIuhqHtwkP2r4CZO3cuhmEwdOjQRrf5+9//jmEY3HvvvfvwyIQtXvYTwaZdANdgcMVD/6XwY9eav49cClPy1QRrO3AyWnwRoJOhFNAclN+fjaolSoP2O9hQZUUS8KSpO8BsJGCOR11DQ5BvZvGefYs2NnuVQDv/HdRv5x9MIWrfv9rarrEW/JuAB1FPpTOtfZWYcMYGWLEVWlXA0St182Aa0NoPfQbDrK4QaWiRxv8A3U01sAN9zyeiiM/7qBmdzaGPaZqMveB8EkM9fHJujXAJECxgJk+eXE+4BAgPMfjk3DASQz2MveD8fVqFNHDgQPr3788vv/zC77//Xu9x0zR55ZVXcDgcXH75vr+ybfGyn2iL2voHMELAebRSR2vTwWNdo8l+6DYLZlepxHI+uisMCJ8LUGVRR1OVFFup7X8BONlQpKctirKMs177a2CQtQ8/KqWesVferY3NnqNuO/8zqGnnH4yJqvGeQJHLixrZDmAW8qLcjHwwABt9cMY62J4PaWVw9ArY4gLDhCwHDBwC0zorCnoHEicdTPjGlGBqH+RzeQm4kNpLC9gcuhiGwd8eeJBNJX7+8r27QdEREDALJ0Q1KFxAAuH279xsKvHztwcebHCbvcnEiRMBeOmll+o99sMPP7Bu3TpGjBhBmzYNJWn3LrZ42U/UrTgCSBqlu73WuTVVRwCn/Qpv50JntKr0CFS6CSqPHm+oCd1f0F2oBwmRYM5HAqWLqbvQi5EA+gr5X65C1Re/AR9hl1LbHHgUocjGBzTczj+YPFQiXYqiM+0b2c6LhMUq5IEJmHvneWHcWqgohnbFMGQlbIgAlw9au2DIEfB9R0VgbkdrjoWbMMOELQYcZkispCF/TSLQfffevs1BxlVXXcXzzz/PM79Wc8P/GhcwfdKcjQqX67928+xv1bzwwgtcddVV++KwazF27FhiY2N56623cLvdtR57+eWXAbjyyiv3+XGBLV72G6HUL1WO6AFmhqqOZgSljtpVQcQS+V3OQWXPqdSkeQ4z1ITuF1MD8TfAEmr7XwxrHZUtwGGmVqe+FAmor1B78htQSHwHEkP+Pfd2bWx2mbrt/G+mdjv/YPzIuPsSStGcQf2+LgHyUZroMGRuDywB8Kkbrl8NvlLosQP6rYa10RDugdbhMGwIfNNewudmVMmXY8IyE3KsSsD+yNtSgFK0F+zeKbA5SJkwYcJOBUxDHAjCBSAqKooLL7yQgoICPv744z/+vmPHDj755BPS0tI49dRT98ux2eJlP+Kidsm0YYDjOGiTC2vSwWtd507gvP/Ca6XQATWnG446gga+CuOBT0yINtVLYj6qbAj2vwS68C4DupkyJl5GjYBJRXeRuagnxmMoGmNjsz9oTjv/YLKRYTcSNZNLb2Lbxej6vxIZ10Hfpacq4NE1YJTDwC3QORtWxWqxxawoOGYIfNVG39ur0Xdxmqnfsw1IMRS9GWft7wXrNUKw+bPSUgFzoAiXAA2ljt58802qq6u59NJLCQnZP1e3LV72I3UrjgBSRyp11KZO6qhnEWxeJ9PuuajN/0BqPCoRBlxgwKvIbJiBBsy6/pdQQz6B+cgn8xwKv2+y9hmP8vfZKBrzMDUN8Gxs9gXB7fz9NNzOPxgPSqN+gKKHJzaxrYlE/1QkcDKtv3uB20rg/bUQUgHHbtACqaviINYNWXFw4mCYkqVI0HiUspqMSqCXoRRSK+sYHCji0oOGS7Zt/lxMmDCBsWPH8syv1Sze2nRMe/FWP8/+Vs24ceP2u3AB6NWrF0OHDmX69OmsXr0agFdeeQXDMLjiiiv223HZ4mU/UrfiCCCuNVR0hf5LYHpQkjwMOPUTmGzKeOsF+qLGc4HoTX9Dg/N8K6oyA4mRT+u8RozV6XMukGbKqHgFElJT0J3rX61j647MkVv2wPu1sdkZa1EqJ9DO/2QaT/uAUqP3ocjM7TTckC5AGbqWo5HACJhnK4DLd8DP2RBWAaesgYgCWBUPCVXQOgFGDIYvsxSJPAtFQJ8DhpkwHaVaO6DvURzqu/QbcFrL3r7NIcoLL7zwR1VR79Smp93eqQ4mHR7KO++8s9OlBPYVgejLyy+/zE8//cSyZcs4/vjj6dChw347Jlu87EcaEi8AzkDqKBX8QWGT4+fD7AKVXZ6LTLkno4ZaAS4D3jXBNOUReA9NBCvqvEaSobbpi4EIU9tdiQbdKciTcwvyBfRAA/Xq3Xy/NjaNsQ0J7v+hrrgNtfMPphL5sr5HkcLGO1GIdSiKeBaqygtEZrabMC4PVm+C6HI4eyVUl8HqOEiqhNaJMGowfJku4XICing+AYw0larNBQYZWoqjK1pb7AWUVrK76NrUbUC3s4qhun1gDgQBc84555CYmMjrr7/Ov//9b2D/GXUD2OJlP9JQxRFA2ongd0nALAlauS0G6PujxEWW9be2wEJqvC0xBpxhwJtAH7SQ43rq+18A2hiaJNYBlabWeLkCCZgv0cVxNQrdt0ch8t925w3b2NShDKU6X0HCorF2/sHMQ9GZwWi5i+idbP8dEud/RRV7AVb44eJNsDUPWpXB+cshvxrWxEFKJWQlw6mDYUqqopsDkXh5GjjOhA9M2Goo4hmFeiaBqvWOof4CjzZ/PloqXAIcaAImPDyc8ePHs23bNiZPnkxycjJjxozZr8dki5f9SEMVRwDJiVDQBwYshuldaz924cfwiV9po/NQ/v48NDgHGGqopHqZZd7NQ1Ge56hfAt3DUFOufFQx8T0SMHlIwBioP0YymlRmoGomG5vdIbid/0Aab+cfTAlqxrgQmXf77GT7auAZdG3fQe2y6pk+mJQNxTsgoxjOWw4b/bAuFtKroHUqjBkMU5IVcemA2vq/hqr1vjWhyNByAD5qoixrUDT1mOacBJtDmhdffHGnwsU0TRbl+ZrsA3OgCJgJEyb88R7Gjx9PaGhjXZP2DbZ42c/UrTgCVR25jofWm63UUdBjacWQuEpNtdKRAIpCJZnBvpQrgddNNbt7EUViWlPf/wJwhAG9rGNZZKr51+VIwHxhbXMa2saPokXvYPeCsWk5we3845EZt7F2/sHPmQk8CoxG1+bOmr1tQVVKR6IeR8HTxjseuHcdVBZBp3w4ewWsdkB2LGS6oXUajBkEXyfKnNsK9Wz5CnCZSp8WGTLoxqL0azj6Hr+GOura6aI/N6Zpcs/dd5EV6+CRExoXLtd/7abvC+VN9oF59MQwsmId3HP3Xfu0w25dunTpQlaWYv7706gbwBYv+5nGUkeZR4I7xmpYF5Q6MoDxX9SIh/NQlcWF1DSuA62zcrKhpQRSqekAuhp5YOoy0lD4vQ0yIC5Ak8RWagTMMajPxmY0WD+DIkA2Ns1hKbXb+Q9n55P8DuAfSIzcR+20T2PMQc3srkf9VgL4gYer4KW14C2BPltlzl3qgo0xkFUNrdMlXL5tpZSWC60APRc1sosCcoA8Q/1hTqGmYukNVOnXWOM8mz8PhmEw+d33yK92ccYHbqq8tUVHcDn0uHHjGi2jrvKanPGBm/xqF5PffW+fd9gN5pdffiEnJ4fhw4fTtWvXnT9hL2OLl/1MGzQY1iUzDrYOtFJH3Wo/1vsXKK3SZJCCRIfb+jdYmBxr7XuNtap0GxTifpP6/heAsagUu7/lf1mBBMw2agTMAGQWXkhNJVJly96yzZ+MQDv/2TTdzj8YE0U6nkXC/Dx23ivFhwTEApRWCvacVAE3l8H/1oG/DI7MgWOzYWEobIqGth5okw5nDoLp8YpkepCnZi1aSmOwqW6569B3K4Uao/BCJOQH7OQYbf48HHfccXw55StmbjIY836NgKnbx+Xtt99usA9MlddkzPtuZm4y+HLKVxx33HH78+3w0EMPATBp0qT9ehwBbPGyn2lNwxVHwamj1Sm1UzQuL5w6C962fj8XRVUuQJEWM2gfE4CXTTW8ewL5VY6gYf+LYSjkvQA40VQkZz2qYNqGBA2oouIqFKEZhlbqLdi1t29zCFNITTv/S2i6nX8wuajZnIkiNK2b8ZwitBxAW3QNu4IeKwAmFMH8DWCUwcnrYcAWmBcOW6KhvQ+yMiRcZsXq9SuQX6wApYLONuH9oMqiHWiJDVCE5kPUsdrGJpi6AqbS03ADurqN7Co9B4Zw+fnnn7n88ssZPHgwU6ZMoX///px55pn75VjqYouX/UxjaSOANr2hJA1ab4LfU2s/Nvo73QFuQitGJ6IUTw90hxsg2YBhBnyM7nafQUsDdEGGybo4rS683wBnmlptejMSMNupETCtgRtRaetotOBjQxEkmz8fgXb+z1DTzj+1yWcILxI6b6Kqo9E0zzuyHHWDHk99o2w2MGEHrNsEoWVw1irotAN+i4CtUdDBr1TRWYNgTowMt8VIuHiAp4BLTXjFhDIDsgwZh6+jJhL0EhIy9qKLNg0RLGC6PFveaOfcYAHT5dny/S5cAFatWsWrr77K8uXLGT16NP/9739xOA4M2XBgHMWfmMYqjgDaxULuIKWOptVJMcYuh+5bFXEBrZr7IXA6qhIK9qKMBH43VU3UC+Xlv6Vx/0uYAbdZ+xtrKnS/AwmYHdSInmS0GORXyND7ElB/4XSbPws+WtbOP5jVKNqSikqam1NmbKJr8UvU0K5tncfnm3DDZsjbAtElcMFySC6FXyNhRyR0ArKsVNH8KKVhi9C1H4YE+YUmvGHKnBvooHsBNeXcP6L00f53ANgcyAQEjCc8scmW/xMmTOCFF17AE56434ULwCWXXIJpmpSUlPDll1/Stm3db9n+wxYvBwANVRwBOB3gOhayttRPHQGM/0FGwmI0mKZSk48PLmc2DJhowAummt5dj9JAmTTuf4mxIjBvAxdbKacSFBrPp0bAxAJ3ol4aJ6HIzKwWvn+bgxsT9f+5l+a18w/Gjfq8TEF+mOaYeEE+q8et/9+KukIHM8UPd+dAwQ5IKoKLlkFkpYRLQTh0cdZEXJZEwq/oe3QzuqafA0ZYrQNCDa0UPQT5vHpar5GPxNp5zTheG5vjjjuOLXlbd9ry/6qrrmJL3tb9LlwOdGzxcgDQVOqoY3vY3gmyNsHyOkvptp8OUWZNKuds1CDrOJQ6qgjaNsNqpvUFmhxeRAP0aODfNFz2nGytRB0QMI9Z+6wrYMJRBGYO6tmxiIZTUjaHHmtQw7hVNK+dfzCLqSmVvhG11W8OG63XHIUijcFixwSe98Kz2VBaCK13wLjlgAfmREFJOHRzQVYqnHk4LI9Q76IylKpKQs0YO6F0aTHwu6HvSSHq9fLH6yDvl73ook1zaUmTOpumscXLAUBjywQAdIyDnMNh4CL4oW5sOg8uXFGzvlE88qL8jio6Pq6z+enAHBPyTA3Sd6GW6d2pEUB1aWsoTP4hcL6pXhvVSMAUUNM3xgXchCoz0tGd8cvYvWAOVQLt/L+hee38gylHqchf0DU4sAWvOwN4HaV2etR5rBq4rxo+WQ/lJdAlD85dBW4fzI6G8lDoGgZZaRIuq8N1/NXITJyJIi1uIMVUVHMl6hWz3HqfgSnlKyS6mmMmtrGx2fPY4uUAoCnxEuqE0CMhLR/WJNcXA0On6d8frN/PRGse9QM2II9KAKcBVxnwvLX20UjUOXQZGqQb8r8A9DTUFv0bYIwVgfGhCpJCagSMA1U3ua2ftii031BKzObgZFfa+QfzM6pOOx5dK80VPB60XlA2ivDE13m8GLilAn5eD+4y6L8JTl+nlOgvMeB2QbdIdc49cyCsC5NgD/RK6oDKnRcAx5vwoanvTqYhkX4VNampXGu7U1rwvm0OHvZnI7hDlb1xTm3xcgCQiQbExuiSBrm9ICsHVtRJHYX8CMdVS0CYKF/fAaVuxlG7cR1AOwM6G8rVgyqPvkX9Kt5Ek1NDDDUUoZmH1nV50nq9S5DJ8RNrOwNFapJRn5jhKLrTkK/G5uBhV9r5B1OIRO9a5I3p3vTmtdiO0kR9UUVR3bTUJuDGEli2AbzlMHwdnJADBYYiLr4Q6BoFbVLhjIGwMVRVTS6UDjoMiaJPUWXRsya6kA0Zj4dTYwb2IhFld9E99HA6dWV5PI2VUNjsKoFzGjjHe4K9Kl5mzpzJqaeeSkZGBoZh8Omnnza5/fTp0zEMo95PXl7e3jzM/U5TFUcAnRNgg9Wwbmrd1FE5jPlNXpTAoolj0EDczvp9fZ2nnAdMNSHf1AD+HDLdnk/D/V8CjDJ0p7wVNeP6t/X38ejO95PgbVH0ZyrqQ/MPlGqwObgItOa/j+a386/7/O+Q2D0HrZPVkhVRFqCFECciE3BdlgJ/yYfsTeCogNErYdA22G7A7FjACV1ioF0anD4ANru0SGkscBQSYgWoUu46E54xteJ6niH/DtQuv/4QRY2SWvAebA4OXC4XYWFhFBcX29GXPYhpmhQXFxMWFobL5dr5E5rJXvWalZeX06dPHy677LIWNbZZuXIlsbGxf/yekpLSxNaHBoGKo4YG9sgQiOgLrd6vqToKvuuLmwbdj5THZRDqtNsNmI+iL88jb0GAEEOdc18A7jChuyHh8jQqef4c+WMaYiwSOPGm/DCvohLq8Shy8wny24Amh2h0l3sF6plxOYoM2Rz4LEWTdV8ULWnpMmx5SBT0tJ7fknsuE7UB2I5Krht67akmvLAN8nZAZAWcvhxal0t4/BoLoQ7oFAttU2B0P9jqlA8rE0VUhiFv1pPA1aaMuskG/GroGl5I7e/NamTiPb8F78Pm4CIpKYnc3Fw2bdpEXFwcLpfLNs/uIqZp4vF4KC4upqysjMzMzJ0/qQXsVfEycuRIRo4c2eLnpaSkEB8fv+cP6AAmUHHU2MTeLQk29oPMjbAiHboHrcJozoNziuHBOA2wnYFTUYj/fhTynk/tdV66GJBqqk/FMFRVdA4azLNR9UhDPToMQwP9o6iUtNyQODkPNep6E/gv8t6AJr4o5JGYgMTO6SgqY3NgkoMm8iRUhtzStXp8SAAvRaI1vYXPL0UN7g6nYaFgAm/74bPNsKMY4kvgrOWQ6IbNBvwaB1EGtI+DDqkwsg/scKrbbyckqEdax/kkEuTzUPRzqVUSPR+4gZpOvW5kFP4rdrroUCZw07xjxw5yc5tK5ts0l7CwMDIzM2sFJPYEB2SVX9++fXG73fTs2ZP77ruPI488stFt3W43brf7j99LSkr2xSHucdoig21j4qVrPPw8AAa8A1MH1xYv+KDTTEg+VcLhL0gw9EL9K85CJsm+1M4TXgjcZUIfIM5Q+fSpSGC8gXwN0Q0ci9OAm035EC4y4UerBPtUagTMx9brgsTURDR5XIXETgEKv9scOBSi5SWqkJepOV1x65KNrp+jUdSipRP9aiQSLgM6NvC4B/iXD37OgcIySCuCM5ZDtBdyHDA3TiXXbeOhUxqM6A2FDomhnui9nY0E0AtIuFeYirLkARlIqJxF7dTQG9bf7EUXD31iY2OJjY3F4/Hg8/n29+Ec1Didzj2aKgrmgBIv6enpPP/88wwcOBC3283LL7/MMcccw5w5c+jfv3+Dz3n44Ye5//779/GR7nnaIG9BY8SGQXRHiHTWVB3V6m8xHcacqgjHdmSYPRWt9zII3U1ORVVDAcIMiY2XUTv0VsjbcDNqSvcccDsNT0BhBtxuShRdZ8LHhvZ/HNrnW9QWMFmolPpJVGY9HYmYcxrZv82+owp5pFYhs3VzVm6uiwelebagni0tqUACXc/fII9LY6K5FHjQA8s3QmkltN8Op66CUD9scMK8WGhlQOt46JoOJ/aEEoeuuQHWsV2DrrePgDSgjQnPWV8mw9B2HiT0Ayywjq/hEcjmUMXlcu21iddm9zmgqo26du3KhAkTGDBgAEOHDuXVV19l6NChPPnkk40+54477qC4uPiPn5ycg3OFnZ1VHAF0TYCNAyBzA6ysG4tfDUNy1Nb8U+tP4WjA/QUYAUxDd5XB9LJMuL9a/rQTkV/mI1QR8gWNE2NIkDyNlhGYh5rjGciYWWHtJ0ASCru/jRaHDEXRGPveZv/gQ4LhARTxu5tdEy7LkejtiPqvtFS4uNE1VIKuj4aEyxbgjipYsh7KKuGwXBizUsIl26mIS7ID2sTDYZlwYi8od6iabgiqcroaXZszkcA/3qosSjEg35DQXoEEdYBSdA1f0sL3ZGNjs3c5oMRLQwwaNIg1a9Y0+nhYWNgfYb7Az8GIi6YrjgC6J8j30u93mNat/uOOqWrR/ytqBAaq+vkafdCn0HDn2/Gor0W5JWD+gaIoKWhiWt3EMaUYSgk9AUyw2qkvQpPEhchDEyxgYtAE9Tm68+2F/DNVTb91mz1IcDt/E1UQDaLlEbBKlHqZiqrVhuzCsWxG4ukYVJXW0DGsAO4pg1XZUO2GQevg5HXgNGFNCMyLh3QnZMZBr9Zw3GFQaag0+yiUEroRfQd+B34CLjPhCcusvtwSLlPRgovBx/AS+n6E7cJ7s7Gx2Xsc8OJl4cKFpKe31PJ3cBJK/chIMIkREJMEzlhY3UDDOnMGnGRq8A30cQlDxsdZKNqxDJU1BxNlwLkGvGb97kIRkdtQiud1asRQQ7SzuvD+C7jRVMXRShoXMOEoHfULEi2novRT3eOy2fME2vmvpuXt/IOZa+1nCGpUF7UL+/gZ+axuRL6rhpgFPFYE63LAqIbjV8DRVohypQsWxUFrJ6TFQN92MLw7uC3hMgxFAm9F13QuWu36RlOipKMBvxj6XixEPpvgqM9MJLCbu7ikjY3NvmOvipeysjIWLlzIwoULAVi/fj0LFy5k40b1k73jjju4+OKL/9j+X//6F5999hlr1qxh6dKl3HjjjUydOpVrr712bx7mAUNTaxwF6Gb1fMnYACvrVp7tgKglytd/R83K0icjMeNHIuPdBvZ7uKHIzyJLEXVBwuMv6M6zqf4voC68x6PJ6FZTpt1saguYD4O2D0GT1gZ0Z305isBsbvLd2+wqddv5j6X53W2DKbb2sxi4h5b1fAngQ6beZcjU21DPFBMJ3le3w7rNEF4No5dA7x16bLkLlsRCOxckR8PADnBUF/BYwuVo5Ku6FYnlYtSX6Cb0XXAAcwyZkiNRv5dgg/AOFEU8dxfen42Nzd5nr4qXuXPn0q9fP/r1U2HszTffTL9+/bjnnnsA2LJlyx9CBqC6uppbbrmFXr16MXz4cBYtWsT333/P8cf/OepSmlomIEDXBNjcA3qtgukN3RJOU5M6HwqPgyI6Q9G6MF1RF92G/DWXA2+bUGWplKuQb2Wu9bwvd3JsRxryy3yAIisvIK9CQMC4qS1gDOs1TTRR3IwiPo0tU2DTcna3nX8AE4mBx1D68TJ2LZVSgEzkXVAZdUMVA17gWT9M2QLrtkO8G85cAB1LJMCXhMLvcdAxFFpFwhGdYEhn8BlajuJIlAK6GUVS3FhpTWC9qRLuDSjidKJ1TCfWea/PW9sfUBUNNjY2f2CYh1grwZKSEuLi4iguLj7o/C/ZSGCMb2Ib04SnF0Hnd+C7PvDPD+r4BMLBeBMeDJcB8lH0uAeZKu9HZsU3UVSlLj+aEg9XWDstQpPV26ia5Ex2bup8y9SkcZShSeNWIBFNCpNRCL/uHe236E78MmTePJGGO6raNA8PWjxwHioN3pUISYDtKM3SCX3+uzqhL0VRv4k0vqBhOfCYH1Zvgs1lkFYJpyyE+GoJl8VhsDoGuoRBTBgc2RX6t5NYfwIZ1KcC16Ooih+Zdk8GEqzKolYGrDeUEv2C+k3wvkB3daN38X3a2NjsGi2Zvw94z8ufieZUHBmGoi8bBqrqaFXd1FEVMFuN4MrRhAESDMNQxVE6uvv+vYH9H4VC5issSRuPDJUTrZ/Xadr/Aoqy5AC/mzAJ3Q2XIBE1Fk2sH9R5zknINPocCu3/giZfm5ZRt53//ey6cDGBKegzuRgJzl0RLibqP/QtEgqNCZftwH1eWJYt4dKhFM6cVyNcFoTBmljoFi7hMry7hIuJVqnug6JDE6jpUfMqKn9ub1UWHWbABsugOwVFooKFSw4ynI/ahfdpY2Oz77DFywGEixqfSlN0TYAd7aDrBphWd60jwJymKp5IalcXHY8Gdy/qXPo+9X0shqF00WsmeKwHj0U+mifRJLYz/4thaFL4GdhmKj3wKEpBNSVghqK73cdQOikfNQc7pEKDe5GlqIIo3/p3OLveQ2cTEj6Gta+sXdxPOfo8XUiUhjey3RrgwWpYvR7yq6BXIZy6ACJ9iqrMC4fsWOgeAdFhcPxh0LtNTYqnCxK8F1GzYOQXyEg83ITHTTjCkM+lLzIsn4IMuQG8KMIUKKm2sbE5cLHFywHGziqOANrEQIQLqlvDmqQGJveFQIF6u+Shu0nQXfNxyMwbgwbxWQ3sv5UBJxgSNwEeQGIkn+b5X5yGGt/9F/CbWmPpUbR+k4F+91L7NUBRgovR0gajULn2v2ieqPuzkoPK2+egCrEzaPk6RAECn8lbKGo2il2fyLNRFdnpqKKssf3MAZ6ukHAp98DgrXDCYnCZOp7fImBjDHSPhEgXnNATemTpun8VCauF6H13CdrneuA8UybyXgZMNRRxbIeu/8PrHMf7KF2ZuIvv18bGZt9hi5cDjNbsvOLIaUDneDWsy2godWQCM3Tn7aB29OUYJFiq0Z3n/2i4v8wJwFpTBkeoKZ/+C4rELKPp/i+gLry3IbNovKlFH/9JjRAZi+6q36vzvA4ocvMEEjNHAg+z83TVn41CVEHzIfJvXM7uta9fjdJN6agXz+6snDwV+aRuR2K3Mb4AJpfAio3g98FxOTB0hcy0XmBOJGyOgZ5REi4n94ZuGXruZLQUwGp0TQbSY6tQiuoaJLJdwGxD4v1sJGzG1jmOlagi6+jdeM82Njb7Dlu8HGC0ZucVR6CS6bIkaJsP0xtoWGdO0933YDSYB3qoBCosvkGPn0jD3hLDgIkGvGSCzxIwHdEkOQlNDK+zc0ERa3XhfQroYEpQPYU8DKBJxE99AZOOIjf/ARLQwo8PIz/On50qZHx9Bn1+N7Nr6xAFcKMIxhQkNoax69GWaiSoNqPGdXGNbOdHEZFpBbA0V51yT1kNvdfVGMx/iYLt0dAzEsJCYFQfrVcENX2DtiOvyxHW71tRqvFmVPa/FF0zVcgM/j5qRBc88FUhA/uVu/iebWxs9j22eDnAaE65NECHOHA5oLptI6mjbDDX1xgPg9M8w9DdZzUSE3NRSW1dUg0YYqjpXIBLUbTkvyi982927klJMWSifAzob+oO+fmg5421/l9XwLRC69y8g/rEXIt8Nxt28nqHKsHt/DvS/Hb+fr+flStX8v777/PSSy/x5ptv8ttvv+F2u1mEOuz2QX13dqc+b5t1bIcj03Zjg0sV8IgJy/JgQZ6icmf9Du2tJj/VwE/RUBANh0VBuAtO6QftU/T4l6htvw+Z3AONFEpRpdqNQIGprtGtge2GUkpfoWu2rqB6DS0J0NCyBDY2Ngcmtng5wGhOxRFIuHSKg029ISOngdQRwFRFLTqgdvDV1p8dqHT0K3SXew71zbMBTkF3sLmW0jBQNORlFI7vjO7Yd0Z7QybhfwLHmnqfbwY9fgENC5godAf/NbAORQZeBZY04zUPFQLt/O+hZe38c3NzufPOO0lJTaNbt26cf/75XHXVVYwfP55BgwYRFRvHhIsuZuTcuQzYzWOciyJB11HfSxJMAfCAHzbkwqICreJ81nxIsUJqbmBWDJRG1QiXU/tDWyuH9R1Kq8ahNNBp1n49SNheDoSb8IwJww1YYGiNrkK0qnTdFNY8FI3suztv3sbGZp9j93k5APkbmqh2xtId8Mk66PAFlCbBVT/U2SAejNdgvVOlpCch0QKaBO9BLeLDUUrmcmSQrcsmE1404X5D6SRQOe5DSLj8E3kJOjXjmGeZmohvBCYbanR2dtDjAfFyfp3n+VCVU2fkb/gXqk4a1ozXPJhZg7wdgR4rjVXrBGOaJi+++CI333IL1T6IOOw4IjoNJjS1A47wGEyvG8/2DVRtXEzlkm9xF2zhmmuu4ZFHHiE6umXxBz9KYRWhtEtTRuFs4DkfbM2BnAp9lifNgQhrYSs3MDMGqqOgm5UqOq0/pCfo8ZnImNvN2teVSMCZ6Ho4GuhrwoMmHG3AF4bKxU9HVXY3UlvwlSKj872At6KChQsXsmTJEkpLS4mIiOCwww6jf//+B+04YmNzsNGS+dsWLwcg/0A+kZ11MK3ywhMLIGUprAiFR96vfzdu3AvGAA3QFdQ0rQOVluYi8ZCDfAQ3NfJaH5gqvT4l6AXuRpPXX61jvpPmrXHzhSmvwqWGSlNbAyODHn8PTUgX1HmeiXw2EdYxv4S8Hmdw6JW2bkPpslB0HprbFdfv9zNx4kReeuklovucRMKxl+MIa/xTMf0+SudPoeTHN+jZowc/fP8diYnNq7cpQWmaIdSkbhpjPvCeB9ZvgPxq6OuHYbPBZbnFK4GZcWBGQucIRVxOHwCpVo5nDjKaD0LRkhuo+czfApKBEaaigm2A6Yaul+tQlPAuags/E4nuHkuX8vETTzD53fdwV1ViOJw4Q8Pxe9z4fV6cISGcecaZ3HTTjQwZsitLT9rY2DQXu0ndQU5rasqbmyI8BNrFQl5XSN/SSOpomv4JeF9+C3roCNSQq8J6zVAaryA6E/jJVN+WAPehdMF81F+jOf4XgFOtyo/PTN09r0SdhQOcjyamumswGchzE4pSRxNQROYlagzABzu7287/zjvv5KWXXyZx1I0knnx9k8IFwHA4iR14GinjHmPZ6nWMHDUaj2dn65vrM3sElbzvTLj8D/ioClash8JqONoLx/xUI1wqgOnx4IiCLhEQGQpnHl4jXOajy3gYKtefRI1w+QZdAycjL0w4MN/Q9XAlErtXUz9i9V11NbPvuYfT+vZl8idTiDj8bNIveYrWN39E5g3vk3Xzx6Rf9iyxwy7li2m/MHToUK655hrKyhpyh9nY2OxrbPFyANJc0y6oYZ0ZAgk+mNmj/uPmbDAranwIwZVFBvIMfGH9Hli0sSEBEmLAlYZltLU2cKI73btQdVAnmt8V9yL0Hn80dXc8m9rC6nx0cU5u4LlnIh/Pv1DUpTO6i65uYNuDBQ/wKYqMDURG5TZNPaEBfvzxRx599FHih48nutcJLXpuaEoHEs+8h7lz5/Lwww83up2JRMKnKNLWvol9BiJls8tgfja4fTCyCgb+BE5LbZYB0xIgLAo6hkNUuIRLklXzvRRdU6OQ7+kmarr8zrceHw8sMOWD8qMozikoUnMS8lcFk1NVxdWnncanf3+YmCPOI/WKF4gbeh6hqR0xnC5Aoi40uR2xh59OymXPkXDCBF585TWGH3MshYWFTZ5LGxubvY8tXg5AWiRe4iVCKjrC6sQGhEc18LM+6GHoLjc4ujIQ9WwpR3f4nagtIoLpYGiymhr8N9RB92rkLVgMrG3GcRuGyq1/BJaYmpS+prYR9zwkkN6h/vs6AfV/eQSlLU5CDdFKm/HaBxLB7fwT2PV2/qZpct31NxCe0ZXYw8/YpWMJy+hKzOCzeODBB8nLy6v3eBUyxVYj43RTMZ1qJCg3FcGsHHCacE4JdJ1TM+iUAtNaQXQUtAuDaEu4tLJsNytRKvMc69/bqPHUrEei+zpkJv/A1LpG66xrNBS9ztA6x+U3TUZdcgnZU6eTdPZ9xB819g/B0hiG4SB2wKmkjH2EJctXceppp+Pz+Zp8jo2Nzd7FFi8HIM2tOAKIDoXMaChsDamFsLKB1JFppY5OQHemXwQ9ZiDR8an1+5moqV1jQ/N5wDemSlEDjEeVR6+hkP6rNK+hXIjVhfdjIMfUhPgBtcXVeda+J1NfwAxGK2g/jETUeOS92dqM1z4Q2JPt/OfMmcOihQuIGXI+hsO5y8cUO+hMTMPBSy+9VOvvm1AZ9InoGmnqOIuRmbt8O/ywGWIMGLcd0ufXPK8YmJYICVHQOhTiIuGsQRAfqcfXIdF6EapKuxV5nUB9W15GvVzcVmXR6QZ8bxnAT0QCe3wDx3b7+++z9P33aTXyBiLa9W3JqSE0tSOtxtzJTz/N4sknn2zRc21sbPYstng5AAmhcfHQEN0SAEOTxI8NpI5YAuY2Df7d0ZIB24Ie7ocEQynyBhyNSlIbItSQ0fZFatJHoGqmN5BwuAilk5rjfwm3uvC+DBRaAuZ1ant+zqVxAXMY8sE8gvp03IhMpGsaeb1Nmzbx9NNPc/HFF3P44CPo138AI04+mTvvvJPvv/8ev3/vu2f2ZDv/AJ988glhsYmEd+i/W/txhkcT3nkoH/23prvPLOTBuQWtmdUUm4CH/VCxGWZsh/QQGJ8DcUGrgBYaMC0JkqMgwwXxUYq4xFrqJAcJ4Musf2+ipv9MBUoXTgIiTHjChDMM+NiQMJpoHeskFLULZp3Xyws330JU1yOJ6r5rdWrhrXsS0/9U7r7nXoqKinZpHzY2NruPLV4OUMJQmL45dLVKScs6wJqGUkegWlG0xowD+DzoIQPdTQemqxNROqeykdfrbq0R81PQ32LQhHw1aqDWAaWBmkOsIdHxFFoH6VZk/g2OoDQlYNoB16NJrQr5RSajqpQA2dnZnHnWWbRt146bbrmNj6f+yvKKaNb4k5m1tpAnnnuRE088kY6du/D222+zN4rw9nQ7/2Cm/fobzrQuGMbuf6XDMrqy7PellLvdvIQ6NP8fOzcOLwGe80PRJphbBB1dcOFqcAUpyR0OmJEE6VGQGqIU0ZmHK2UEsAX5qiYgI/a11CxT4EVLRlwEpJl6fLABXxu6pq9E0ZrzGzhWL/CXzz+nbMtmYoectyun5Q9ijzgbd7WbN954Y7f2Y2Njs+vY4uUAJYvmVRwBtAqHlAiobAVJ7sZTR6apPi6JKNISnNrpjXpnFKM71jGoi25jXIyqhUqD5vihyIdyF4omLELh/+aQamg168fQHfVNSIwUBG1zLopQNOSBSUVRjBdRyu0OpNe+A9544w16HNaTr6bOIv74CWROepvkCx8nafRNJJ58Hcln3UPqxNdJHfco21ypXHTRRZx62ml77M56T7fzD6YCTfZr1q8nJCFjj+wzJCETr8fDnZs3cxiKgITs5DlTgY+9kJMNq8qgbxicuxTMIPPWNgf8mARZkZDshORYCZcoqyfAdhTBm4iEyRWoiR3UrB59HGo0NwUJ/LVWxOUk5JFpj5rR1eVdoPzzz4lI60BoaocWnpHahES3IqL9AD799LOdb2xjY7NXsMXLAUpbmi9ewEodARFOmNVQ6iiXP8wkpyAR8G2dTc5C/hOQkXcdtcVDMOEGjDMUog/mbnQHPhWF7l9BE2xz6GBIoPwTaGXK0PtPaptwz0GT1tvUFzDxqOfM+9Yx3Ay8/swzXHLJJTg7DiHlkmeJ6TcKR1hkvdc2DIPwrB4kj7mT5DPv4tupMzj2uOMpLi6ut21z2dV2/s3lN+QtGQpE+k3YA1EX4A/PzLl+fz3Da11MFOWa64bF6yGvCoZHwKjfwBPk+d0SAj8lQ9tIaOWEtHgYMxAirHxZIRKrE1Ha8AJqVzJ9iMr5hwILTQnjFOQXyrB+ViDRXZfl1nbr5ig6tSdwpXdh3vz5eyVCZ2Njs3Ns8XKA0pKKI4CuVpy8rB2sSWkkdWQZdwPrOM6mZoVnkH9kM5pIDGpKpxujr6EozdygF3OiO+R7rX1fSPP9LwC9Da18/SyQZequ/1Fqp7DOQf6dhgRMFBIw3wNPT5/O5OuvJ+bwMbQaeUODoqUhIjsfQdJ5D/H7ilVccumlLZ6gdrWdf3MpRumT39F57g2kpaXiK90zy1Z6S7YD0Cs5ucntPCjVV1ABM7KhzAunRsDQWVAdVE28yQWzE6F9JMQ71DH3tAFqRAdqdvdPlCqaDIxG3qwA01EH39NQZdF7piItP1v9XM5C18K11D/HVdZjVwKbNuUQEr9nolOuhAxKS4opLT3Y6ttsbFpOZWUlb775JuPHj6fHYb1ITk0jLSOLo4cN59Zbb+XXX3/d50LeFi8HKBk0v+IIIDUC4sPAF658/4qs+tuYM8H0aoA/AU30s+psEyhLBZVNV9O0iLoMeN+EiqDrtg3yvkxEQqkdalTWXI4yFKl4wzqG81A6KbiPy9k0LmBCgWsrK7n/kkuJaNOThGMvwzBaJh1CUzoQd9IkPv3kEz766KOdP8FiNYq0rEaRlpOpbxzdVUykP/+JKsQuocboO/jwgfi3NWZTbhnVeavp0LFzkx0uS1FpuqsEPt8Iph8uDIfu06E6qI/bBhf8lgQdo+RtykqE0/ur9T8odfkYShF9itKOwZbjJcjYfAVQZsJTJlxowIeGIlvXIR/RVagDdF1eQddPFConb+Fl0ATakR15sTmU8Xq9PPbYY6SlZzB+/Hg++n42OaGt8XQ5gap2RzF/m49nX3qDwYMHM2Dg4fz666/77Nhs8XKA0tKKI8OoMe66wuCn7g1sVMofLtYjUTrne2pP/l1RKWrgHn4c8pg0RpQBZxsSGsGMQxPGC8gMvJDm+19AXXgN5KvpiZYPeILakaKAgHmL+gLmvcmTKdy4gYSTJu2yiTWq21FEdjyc+/72wE4nqW3W8X2L0mVjad46RM1lGyoJ34GiLR2DHqsGMk86icrtOVRvbU6XncYxfR7cq39m5MknNbrNFmTOjsuH/+bqM7g6DFJ/AE+Qy3xtGMxPUrv/aKBtMpzaD1yWcKlCwuUi4Ad07R0V9Do5KF10AzJyP2HC+Qa8Z8i8fTnyvhyN0qx1+Q2lGAN9c1LT0v+IKu0u3pKtRERGEROzpyzXNjYHFlu2bGHI0CP5y1/+itnxKDKueonki54gccS1xB95AfHDLiJ5zB2kTniF5LPvZcWWEoYMGcLf/va3fSLqbfFyANOSiiOo8b1UpMKazKZTRyHAAOs16q7QfA6aNEC+gjTUfK4xBhu6g15a5wWfQWmnlSik3xL/C8gUvB6YaapD8FCUTgp+mbORSKorYP79n+eJ7DAQV2IDIagWED3gVJYtXcKcOXMafDzQzv9VdN5a2s5/Z5ioL89/UN+Sc6gxz65HBuWHgN6jR5OSkUnJr03ZrHdO+e/TqC4t4Oqrr27w8eXAM34I2wqfbYVEJ9zkhJDvwRu0qsCqMFiSCF0jFBHpkAKj+kKIFYaqRsLlXNQpNwEYEfQ6hSj9eDMSgS8BQwytWRSJFucsROnEYxo4zmJ07XVEZfj3ATGDBuLJa2wBjJZRvWU1/fr1w+Gwh1CbQ4+8vDyOPHoYi1etI3XcI7Q6cSKuhPQGtzUcTiI7Hk7yhf8kZsj53Hvvvdx+++17/Rjtb94BTHPXOAqQFQ2RIYATWoU2kjr6FUwrTX8yEkdT6mzTCfkQAr1gzkVipiktfSXwhqmmYQGikF9lEpqALsRaXqCZ78cw9NyZwCJTHYK7YfWYCdruLHRn/6b197KyMhbMn0d45yOa+UqNE96uLyHhkcyYMaPW34Pb+R+OfDatd/vVapODOu6GIP9MJhKJX1m/f4e8H/cAjpAQBj34AOXLZlCxZtdCt97SfEqmv8oFF4zlsMMOq/f4LOAjP1Rthmn50M4FN/ug4gfwW2FCE1geDsuSoWu4Pvcu6XByHwixRhsv8Dgq21+LVpM+K+h1Ap18JyIT9hRT6bESK1XUCvmzvkLRF9Df16KlCx6j5prwAn2B5O0Q0+5kqnJX4CloSUK2Pr6qMtzr5jJ61Midb2xjc5BhmiYXXngRudsKSDr/H4RlNhTGr4/hcBJ/1FgSjr+Kf/7zn3z44Yc7f9JuYIuXA5iWmnYdQakjZ0QjVUde/jC6xCBvTTX1RVJAsIBEyED+aBXTIHEGjDbqp5gGozvjO5AJsw2qwGkuIYb6vnwIrDMluJKo/zpnWu/nTWDxkiWYpklYWqcWvFLDGIaD0JSOLFiwAKjdzr8VEhc7a9zWUrxoZe23kXg7GXXjfdL6iUHl6FehTOC96Iv88SWX0HPUKAq+egJ3Xsv8L76qMgo+fZCE2GieeebpWo+ZyAf1mw+yN8KCEugZDteVQ/70mmaFJvB7JKxOgu6hiup1z4QTe4HTGml81ns4AUVOclCELYAfVR2di8TgQlMpx57ULGNxkbXNMOs8/Q1Fn35CJejdUK+XviZ8nQv//gF+mgmpPc/FFd2KkjkfszuUzv0cw/Rz+eWX73xjG5uDjNdee40ffvie+JNvwBWf1uLnxww4laiuRzJh4tV7dR0wW7wcwLRUvEBN6qgyGtZ2aDjKYU6v+f9pWN6SOtu0RymeQLXraOSPaWrxw+HID7G6zoveiVJH/0N3xAtomf8l0IX3RWCrqX34qWmqF+BM1In1I+sL44iMa8GrNEFELDvy82u1878PTZ57zP9pscradwYSJ1OpKT8fh0TL0aj65jFUMfZX5BV51DC4+7V3SWnfnW3v3UnZ4u+alXt2b17JjnduI6wyn2+/+R+JiYl/POZFhthSD8zOhuwKGBoFl+2ALb/U7MMEFkXD+kToFipPSs/WcPxhEtWBbZ5Ba1H5UbpoIjXn0EQpniOQWMk14V1TqbK3DaWsItDn70ZCZjC6vu5BJubVwOMmrFkP334LW2dDeSF4TDBCw+k+9m+ULf6WyuyFOz0vDVG9PZvS2R9wyy03k5q6p7r12NgcGJimyd8f/gdRXY8kosOAXdqHYRjEnzCB4uJiXn311T18hDXY4uUAJgOVLreEdrEQ5lTKJSG84dQRy8Hcov+2RtUw29CEGMx5aK0hUOpiJLU789bFMFTu+rIJ3qA504HSRQ+ivjG74n+Js7rw/gsoNnX3nUf9XjVnADEu1eCaPi97BJ+HTaFh/EpNO/+ml/JrOVVo4v4CRap+QmtFdUaRhbHIf1SFok4voujClSjF9zBwqgeyd8Qy7IEfSD36bPK/foqtk/9C+fKZ+Ktr90s2fV6qcpay44vH2Pr2bXRvk8LsX36mT58+f2xTjoy5iZXwyXoorIZRcXD2Btgc1L7YBBbEwqZW0M2la6VvWzimO39U9wSazPVCAvMHZMQNHoA+R2mioaj8/loT/AZcZkjsjkai+jJ0HZyGviPT0bX1by+8swPaToWN86GwFKpNRXs8ERDRHsY+dDWhxx7Hji8epXprSyQ0eIu3UvDJA3Tt2pX77ruvRc+1sTkYmDVrFmvXrCa6/ym7tZ+Q6FZEdD2S/7zw4h46sgZeY6/t2Wa3aWnFEchX0CkOfi8AZ7RSR903NbDhVHQrj0TJ98j7Mi5okzbozjsX+S2ORFGBk6hZa6YuSYbMlB+iPjEBslAL/4lIEI1Dk9lNND96kWbAlaZKhf/PhImGUhCR1K5SuaxLF/4GeHZs2KWwZ128BTkc0+0oLtvtPTXMQiTmWqGIRAVKFwXXsZhoyYb/oQjDWHTeFqHGgtf74ZNs2LAdysNjyPzHG0TMvYDcNx9mx+ePgmHgSsrCFR4DXjdV23Pwe6tp16EjNz/1L66++mpCQmqGg+1IIPQsg9c2gcOEC+Kh91LYvKb2cf2WADtioZtTYmRABxjSqbZweRVVBLVB4usOagafAnS9zER+qxWm0mQXGrDcUOO5Pqjk/mMkYn8EfrbOV/9qaLMK3qoEjxuiC/V3gOooiEqDQWkQmQh/czrI+PBjck88nq3v/ZX4Y64guveJOy2lr1j1C8Xf/Zv05AS+/eZ/hIfvyVoyG5sDg1mzZhESHklY6/qet5YS0XEQa794jPz8/FrR3D2FLV4OcAIVRy0ZKrslSLxUAfk9wPy2vkAwpwNjNcH0Q5NCMQrHhwVtF4i+BETG+aiD7ZVNvP4I4D4TNgBtg174XCSSnkX9OZYh/8vJLXhvHQw42xIwfzXhesNaUgBVTwG0adOGVolJuHN+J7LT4BbsvT7eku1UF2xh+MCBu7WfhgiUPecAxwOj0ORd97Nai6qpeiKPTSDq8xVKpdxpwicbYU0B5JVBWRQUx0Of006m4LKT6bt2Fe1//onfFi7kqJJiwsPD6d69O4MGDWLw4MH1KmbWoKhPpyJ4ZQtEGHBVIqT8BnlBeUw/8GsiFMVAF4eEy+BOcHgHavVTeQcJs16odP58FHlZjjw71SjC+CASKC+gvi5bDFUhOZHn6magC/q8DwcurIIpy+H9jbDDBVtbQ5cNVqQlBqIyoE0cjEmALyPgnwa0MWBbYjzXTJ/Ghutv4NM3nqZyyTdE9h1FRIeBOINSjf6qMio3LKJi4VdUZC9i9Cmn8MrLL9vpIptDlsWLFxOa0mGPrJEWmtrxj30ee+yxu72/utji5QAnUHHUkrbyneLBaYDPhPhopY7qRV+2otmjhybLo5GYmIoiMQEy0aSUYx1Ld5Ta2AI0XDiniWsi8Iyphm3OoInsX2iSPhZ5Fx5G/T3a19tL4/QxlDp6FrjBhFsM7SccVaEYhsGF48byn1feIP7oizBCdj3JU7boGyKjojjllN0LowYwkf/nRWAuSoE8QW3BGKAYiRYfiloFSrB9KMUUiyb0b/NgcSHkFUClCwpbQZof1iXJb3JK1y607dqFJOCZnYS55iBBmbId3tyuVv43J4ExE3YEtfv3A7OToTQKOjt0DR3ZBfrX+SDfRr6teFRtNhS1GuqOBHA58tT8G0XQvjI1KEUYusaykWA5G4nfcwBvGbz9O7y3Bdw+RQfXdIFOq8GTANHpkBIJg6Ph1HhFcJYCPR2wxpAQ7xEby4jXX+O7cWN59NHH+H7KkwCExSXjDI/CX11JVaGWBh18xBBufexDzjrrrBY3O7SxOdDxemHrJtiYAytXlmCGRe+R/ToiFDsuKSnZI/uriy1eDnACpt2WiJdQJ3SIg9VFEBoBs/o0kjqaBlgVSceiIqQfUSQkeIg+F90932r9Pg5NSrc1cQzphlrif448IgEiUZnsDShycC0qN74LRU+ayzADCk1VF40HbkcdXy9BvT2uueYann32WUp++4S4Iee2YM81eEt3ULHgSyZecdluNyMrRqd7Fvo8hwOP0LB3xotKfuejc9016LEyJACPQamyuQUwcxsUFkkIlEaBJwqM1rDRgCtMcBuw2azd2K4hPgfW+rUm0adFkBkCf0mEoh+gJL9mOz/wcxpURkAnq5ngsG7Qu60Ex3Lr50cktMZY7/tdahZaBHl1nkViIhKVw89DUZZ/IA/WFSga+FegSyE8txRW7wCPX1VOfmB9O2hVCSndIDQU0kPh/FYQFwbD/OD0Q78QWGAoYpdPTU+ZE088kRNPPJGNGzcye/ZsFi9eTGlpKREREfTs2ZPBgwfTufOeXJHKxmbf4vXD5gpYXQlrqyC3CLaWQ5EHSkwodmncKMuEzenhGMvde+R1Tatj5d5Ksdri5QCnLern0VK6Jki8VFTC9t5gTmkgdTQLuBIMq6y1KxrYf0VVHAHSUVQjG4X1M9Fd/wpq1klqiNOAu01Vj6QHvfgAtLry7WhtnHGoCVtL/C8ApxvwuglfmOrIexua9K4BvF26MvDW2/jt8ccJb9ePsPSWTUCmz0v+108RExvN/fff36LnBvCjyqqpSJBEIYH2GA13hAVN3v9FaaT7qX0+clGE4lKUXlpbCp9tgsoKKK6E0gjYlgpGKrQzYK0Jo5yK9CxAfVUaO86XgXA/rNkEy8qgSxjcHg8530B5cc22PmBWBvjCoL0B5Qa06gFfZan6Kw1FVVKQwLoQibQ7qS1cqlHE6Qq0yvkvJjxoSgz9x1C0ZSJatfy/ZbBhLrxRqGgilmjxOKGgDcS2g26lEOqQofi4WJ3H40zoYUJSCPxoyHczCwnlurRp04Y2bdpw7rm7JnRtbPYlJvLG5ZuQ64FsD2S7YbMHtnv19wofeKrVPNJnfWfcLnDHQVUKuEPBF6KdOX0Q6oGwDj0onzndWkpj96KM1duyAejRo6GeHbuPLV4OcNJpecURQJd4TXwmkBDbSOqoHCkVy+06Ck2O31BbvICiL68Bf7F+Px+ZZe+lccHhsKqPnjdl9A3+LtyO7si/RKtc/44qh0bU3clOGI8E0CxTayJNMtW4bDDwxX33MWraNBZ+fB/JZ95DWEbXpndm4fe4KfjqSdw5S+g75WvmxSdwQguOaSsSnCtQg7TRqE9KW2TEbSibnIuiSBk0HIVaiETNLSh9tK0KJm8AjxdKS6HEBVtToLoVXBUBr/ugAxIXvZHXqE0DrxtoCNfDCx9thNwqGBgJ10fCqilQVV5726lZUBWq41trQLeecESGhG/g/moGisBciYTLeGo38AuUTB+BSr2fN2GJCX81YJqhCFFnE9Zsgb9VQftF4AiKtHhCoCoZBrSD72KgdxH0joRzWkFiCLzi1zkc4YdwJ3xlKOrzFYoe2oOezYFINYpGFqFIbb4JW3yQ54MtXtjmhXIvVHigygd+NxhuCHGDwwd+P1Q7oTwMyiOgIgKqYsDnBMMSKOFuiKiExAKIL4KUfIithNgyKImHbw4bREnZg3jycwhNamjEaD5VGxaRlJJKVtbudTlvDPt7fIATQk3lREuIckHrGNhYCqEu+HFwE6kjS7wkouiAH/XLCI5VpKBoyxp01x+HMk6/IB9DY7QxdCf+P2p7aRzImHkuSi+djdI+XWiZ/8WwBMs/gO2mjucatOKwMzycUz/7mu1jRpMz+XZijziX2EFn4QhtOIxpmibunKUUfvdvPCXbuPWDD9l2wgn8y9RkfKHRuFCrRq89E52nE5DA+wyJjgmogVpdKlCjtW0o5dWQj2gKip7chTrNlnngjfVQ6QV3sQa5NW2hIgFGh+mzqjYU0frd0CKZ5ejvwRQg4XKUG17YCCUeOD4GLnXC0i+hxC1DbRlK3Sxtow7OXYAoB4zoBZ3rFHP9gqIek6jpdBvcKnAbKv0uRKmiI031tnnEgJ8MeXWWFMCyeTCrDXReaw3MSDRVpMCI9gqFTwmD3pUwKUnixQQm+eBTE8Y6wAiR2fx9FP26BBmAbWz2BX70/SmmRpAE/i3wwzY/lPuhyg8VXqjySJD4q8BbBWaVhImzCpzVEiG+MKiMguIoRVorY6E6BPwOiROXByKrILoc0nZIlERVQagPYsshvgSSiyCuUpWpy7vCN0NgVTp4nRC7/STC/pJE2cKvaXXChF1/754qqpZN5errrtlrPjFbvBwE7ErFEajqaGMplBfBtj5gftxA6mg+UAyGVWRxKjLkfo7u8oM5B60xc4f1++loIhpE0xfS2ai0+XBUSh0gHaWKJqJqp0nsmv/Fh4TXsygV0ceAXiZc7IEBrVrxyswZPPP3h/jy73+nbN7nRHQfTlhmd91ZOELwlRVQvXUNFSt/ojpvDcn9BnHf29/wYY/u3GHCJyZ8bAmYW4zaq0SvQxGjPBRJuAVNyutQ2ucY4P9o4LyjaMh06/z0a+B9edH5TqAmpebxw9vZUFStwS3PhIVdININIzxweCS865WX5gynzklgX8HFitnINDysAp7KkRg4MgEyPPD+FD0hApVrpwE/tYMMhz4zhwNG9tF6RcHMQ+LtJuBplBrshQbsWcigvAWVzT+FzuML1nnL9sOc7bC4BDovhbXtIWsLhFVBRTiUpsIo6xh+LoetodAnHP4ZD2EOqDJhtAmb/RJfLofKz99B4mgILfON2djUxUTjcBESIA2JkkoUAXFboiTEJ/FtVkN1FXgqwV0hcRJSBaYX/B6tyu50gicUysOhKApK46E8EipDwevQ6zt9EFotcZKxQ0IkoVw3g9UuRSdjyiGpWI+1KtXfDHTj4wyFOYfBW71gbbKET2Q1jNgCD/qgU3oYf7/pWh546O9E9x25y9GX4p/eA281EydO3I0z3jSGeYit6V5SUkJcXBzFxcXExjbWjeTg4l3kE+nSwucVu+HpRfp/WAqMegx6NLBYknElGEGGiPvQhX4F9e/WX0Rm00AC5gcUPWjMTxFgtam74DupnT4CRQa6oEkvkD66keb5X5abSmedjkqJ/wHcaMI3Xpjjh5AwyDeUtui3YQMLXniBV959j+3Z62vtJzQimpRhw2l1/jUkHzuCW5OdeCNlLr7PEjCbUen3XwxV5cxBqZgTqfGwVFMTSbkCVdnUO2ZgMhJzo2hY+JUiY+5xqL8OaBB6byMsLQLDB9lemJMEaVvAnwXDMmG0Ay7zSVA+6NLncxQqK//EOqHz0DWVUAJfbgZM6JkMxxeCcxpE+GrOvRuY0UEiJhUtrDiqL7RNqn28S1CU6Tbkn2mPBNQcJL4DfXhmU/PZfm3CWg/sWA+f+2Us7rZKZd7l4VqPqDgdRmTBsZHwZTEUeSEzArYlwqNOXac5JpxoQoYPjg6BeEPn7lXrtZfTdGm/zZ8XD/WFSPD/y6jdpdzlhzC/RITTWyM+vG75C0srocwNfi/4vODz6P9+nxouul0SI5WRUBoJJVFQFiHh4XMAhgRPmAfiyyG9ANrkQmIphJpqg1AUJb9XRCXEFkGrIkgvghiPlVa1jjkMre/ljoIfesOMbrAxEapcMrH3NeGf4XBEnYG2qqqK3n36klPiI/mCh3GEtuRWEiqzF7L9g3t46KEHueOOO3b+hCBaMn/b4uUg4Cek+I/fhee+vBS2VECrJHDOhavebmCjTuB4oubXn5HHIiBggilA5tr/s373o9bsd6CUU1O8Zsrwe2ydL0sl8oU8iZqRfYAm/ZOa2Fe1qTLiAtRGP87aZ54JkzyQ4YexYXCdIR/JuygiAoruhLxWwOfutXRe5WXlgEROTetEdV8HC/xQVqEJ8l9JMMUBbwB3mPCqqXJyvwEPGvo8gquFllqvcxr1PUMgM/SbaFAZh1JvDREw5l5G7Qqhb7aossgE1kfAch8kbJP57sw0yEiAH73wo6meJp4QRUoKTXgOuMRQRC0XaJMPK7ZBggE3p0HHXFj6Y806RQCVBszsAAmm1pNyhcApfSGrTr+plUiw3Yg8LrnIyD3UOg/hqFdNoDmdC5hRAQ8XQOwSWNoeQrzQbjPgg1UdIbECjsuEy6Lhq1JYVgnRThgTDzOi4DxDAmmqCZeYcKIXslyQZWido+dQWvMtJJjtEPOfA5PGUzWBf4P7brvQ9zAOiLJEicMjUeLzQLUHSrxQ4IEiN5S6JUr8Hutfb82/Jkq9eMPAHaaoSWkkFEfKh+JxKr0TEChRfkh2Q9sy6LAD2uZC+DYoc0FBHOQlgDtEwieuGOILIaEIkso0ljlR1LkCjcPh6CYjBshNge8Hwez2sCUKSkIAh/pk/Q0tpdLUzeHChQs56uijMRPa0ur0O3BGxTfr/Fes/Y2Czx/h2OFH8/VXX9VqfNkcWjJ/29/pg4A27FrFEUC3VhIvJflQ2gfMtxu4aNeAmaPyWtCEMwV9scupLUpaoQlxGZocHMjX8BEyZjbFOOAuUymS+KCDiEARjpus1z2HGv9Luwb2E4i2nIZMusEs8ikqsTBMX+zbUFTkWZTScaAve2JsKzpEtaKjH9a1AYcX2hZCUWv4vQK2euCLCjgpWud+gqHjijEhxHr9PobORQUSOCaaKOuKuGq0AvVytKxBhybO0QJUtRMw5gYIlES7HbA+GSo2QVIpOEMgLVZmu/NM+Iepzy3SKVNsVxQVAVgMDDWhYCv8rwCyQuCOdIheDUvm1D6OihCY0Q6S/ToOVwic3h/S65hGViLB0gn5ejpY5zq4sHw7ioLcAeQWw7Or4X+x0HU5LO8CsRW6i/Q4YUkfOMMBd7eDuZXw1HatS3RUNJwWDz879Vrtgaf88KgJ1/mh3AXdDL3GE6hv0T9QibU9yB28mCj6V0TjgqSSmjHNQNdePDWiJAPoaIUkTC+UeaHYq1LhIuv/udXynTQmTHxemV4dDvCGgicMqizfSUkEFEeox5LPAT7DinyYEOOH1j7o7IWuldA5Xz2U2AYby2FTOOQmwPYoRRMjwyVQYrZC/1UQ4a2pUgSNNeUoIhRpvdc0AyISYXVP+KgrzEtQ08Z8h8bANPS9uJqG+0k1RN++ffnh++8ZOWo0W1+7lthjLiOq+3AMZ8PfJm9pPsU/TaZs0TeMGjWaDz/8oMXCpaXY3+uDgF2tOAKVTE/bpLWGWrWC5W2hx4YGNpzKH+rDiVIa21Hl0Zl1Nj0LeRoCBXD9kOjYge7QGyPU0ArCL1G/R0w/lEK5Fd01N+R/qTbVX2Y7ivzE1REuX3vhEQ8cGwZnGpow/2WCy9CX/jkkQFJMKAqFiGpIcIDhUO+VtGKI6ATh4VDuhn9XwOpwmBQiAbTRkAn3exP6m0pFXAQsNrQUQs8678lEaZIvrPd2Do3f7ZjWOVxFjTE3QKAkuiAUclMhdSW4y8A0oKQDnJ4EuQZc74MdDhmkyw2VtD+AhNAmYJAffsiFeaXQPhTuzoSqBbBiUe1jKQ+FGW1kno0Hwlxw+gBItUJFPiSEPkOXzbVIFKagSq/g91gOPGnCiQXwwO+QXQRLuyg9tLE9xJRBaSz4Q6GyN3wUDvFe+M8O2OaBzFC4oBW0D1MV10/W+bnUD9P8EiqLXbpeb0aC5XQkfq+g8WUsbPYfXmpX1QT+Dfy/lNqpmnBqxEjg37ZBv5s+S4xYQqTYA4VelQyv9uhvlX4rdeNtQJhYosaJVrE3Q6A6HKrDoCJWkZOScCgJA7dTAsVvAAZE+iHWhO5+6OzXGNArBNqaEJIP5Zshu0A9VjaGwJR4iXRXMiS4VPHTYRlEVmgyjrJ+wlG0vYQa03wUEitt4iAmE8IyYE5HeDcJloRou61IzMWjwoU72HWT+uDBg1mxfBlXX3MN//34SUpnvkFopyMIS+uEM6oVpunDk59D9aZlVK6bR2RkBP/5z3+YMGHCPmnmaKeNDhL+htIzLcU04T9LIL8KUlPBXAJXNrRWVhIYr9T4UcpRtYgHGU/rqtw3kODobf2ejSazG5pxTP8xVUI8pM71bSKhNB6VUS9FUY8bgZWmxMipyD8R/N2oAp70wafV8FgYDHXomAebMs5eZ20/BU22p/jg2x/AVwxdCuDzw3RnVOUA79GwrgrMbRAfCsMj4bo4RU/uss7HiSZ8a2qgWGIowlE3FbYBpYg6We+pqTuegDE3kfoCZ1sVPL8GlkWCNw56r4NZHtgcD544yEqAiEi4yYS/+iQsXjWUYvnJOo/HmHCRF37PhfUV0DMc/i8Ttv4MOStqH0tpOPzYWv6RWCA8FMYMhKQYRY5mINNta+RPuh8JmQWB8xy0L48JV5eBZyl4toDfhJVdoW0eFMZAUSxsT1LK58gkCcnSQphXDuEOOCUOhsWoQ7MfCbFxwCV+KPXBvxzwvVMerKvR92M88tx0Qat+2+x9TDS5FlE/KhIQKcGpmhB0bcVTW5AE/o3BavNgyvQaECXBkZIiS5QUe7UNyPRaS5hYERTTK4+Hwy8jt8MhY6w7TBVspWGKnBSGQYULPEaNQHE4FG1NMCVIOgF9nNArFNqF6obM74GKrbBtC6wqViO4DQ4oilS0plWZoilxRRBVDPgklCKpEStQI1Iq0c1ANBAXCamZEJ2h5S6MTPgqSmPteu2KXOs8R6CKzr/RsorN5rBkyRKef/55vv1+KmtXr/xjtfrIqCj69u3HBeefx0UXXURcXGPJ8OZhp40OQcLRRd0y65Qm7a4J8PMWKN4BRb002NTTxTtQfsFSI1Eo3OpElSLH1Nn8THTX28vaVzvr33U0nRYBTTD3mnpudNCBGMhPcw5KXfUEFpuK0iSjlExwusmHxM1nPsirhrfCtMbOW6hL8JEGfGZFay5Cvpr/Aqv8UBwGaW69pssLW13gqobEKhgVDtNDIdIDc92wshq6hqrHzSPAe4Y+i1Ym/NOEvxsqVz7b0AA0Gf070TrupggYc4+nfsl5qUeVQN+kqty9tRe+iAO3G1KLwJkAt4dLaHr84DQ10PZ2KU2Vah1vcjVMzYGqajgyCm5NgzXTIG997dcriYIfMxTmjgYiw6DfQPgiWgNld9STJ9w65rtR6fwvKLoT+Gi8PpiSA49WQdQWSCpQ9GttO6W6ClrBugyIjYIvQiEkFF50Q1ieqjT6R8JZCRAfNDp9AmSZqihq74XHQ+BLhz7ny1DfoPGo8j8EW7jsLlU0bmItovaK8IFUTbAASUO+p0Dqpm4nadOECn9NpKTIC5us/wdHUdz+2s+pK0zwyT9i+MDw6zoLMcDnUhM2f6QESWEYFIZDqasmeuJ1AA49J8ZUJWRboJtDAuWwUEhz1J4kTR+U74C1G+CzYlhTraimx4BwD6QXKprSpwiclRJtwUIl0joXHvTdL0KViiFATChkZkB6hiVWMiE0DgoM+QD/h6LOYejmaLv1vMGo39YRtKzJZ0vo1asXzz33HADl5eUUFhbidDpJTU2ttzbavsIWLwcJbdD6Qi2tOIIa8VLlg+QEWNYVDlvZwIbTqAmloCjHO6hiZTi1vxgx6C5kEYqiQE2n3IZKg4OJtNIvr6I1e4JJQ6mjq4GHTe2/CKUmAsLFBH5Ddx9d/VBdDfeHSrgsRybei6z9nW7IaBvowpuF7sJywqCVWwNHlBeSIiGzGpLL4YMIGBILK3aosuD9crjbpVy2B+XgD7f2NdVUZ9j7DfjOGgAbSiE1xCbrfF2OBJ8XGVtXAL/7YWoprE+FvqUSQv9boq6ZPgPM1nB9DExzaOA63w/hhkSlw1CEKQY4vgq+2QjxPnWfnZgIS76B/Nzax1IcD7OSoI1Pd33bwsE7EBxR+uwvtT7TAmqWd9iKGr/9BQ3QlV74aB1MXwvLEyUKMwo1mWzMgLI43SG6U+CsCJjokhC7qQw6F0CyC85Ngh51FPp64HMTpplwihfGu+B/hoTURSjFOAH1JvoJiVyb2gRSNQ0JkWLrsbqpmmAxEoeu98DvETSRAjV1nRZ51VhtVZBAKfLKAFvkURq47vP8wR4TrypsHJY4Mb2KdLisVK87ULXj0k9huNLBVSESJl4D/E5FT0IdVrrJUPfpHk7oGwIdnLrBaGgiNE3YUQDL82F1KaythvxqHUtSKaQVQZtC6FYC1X6NDQ0JFdCYUYoldFDVXlwadAmIlUwIT9T7AomTl9CQXGWd8/VoDjCRMHwC3ZDVFYZ7m6ioKKKidlaesfexxctBQmvky9gV8ZIZBdEuNTdLKIafRzUsXsyfgAlgWA1l0lF0I5NaQZk/OB2tFdMHDWSJ6M5lPjUrPDfGAENdcReY0K/OKDjSVCrmFhTFMAz5X+5GX953Uc+OK/3wsBuudEFvp6Ihb1N/8roUVTL914RsQ30YSkMg2qvzWuiT4ROgazn0SYL8SLn+oz2wzgFPuFW+exuaJFchX0lnlAbLNGG5oVRVt2bc/sxHzdOOR2sAvYUGvg5ANxN+3aYB76w8uCoTPl6qO9OKUEgLgYgkCImWMXWDH3IMwIQxTpWarwD+UgZ/36S/j20FY2Ng/hQo2lb7WAqT4Md4iPZrcI2OgLMHwoDI2hNUCRowr0Hh7fdQTr3CDS+thl83gKcKtiWDwwldcsEfDmuzYFUa9KqGtFQ4ygWJPphfAE85oWcZnBYHJ8VqYgrGDYw3Yb0fbvNDf5e68J6OBPAVSEgVIRP1nTTcwfhQw0QRt4aESOBfT9D2TmpESECUtKd2qqY55800odwHuXWESN10jqcBM4JpKnLh86qqJ8ysiZqYlmAJMWp+qkP0vSy1voslrproic9Q5Y7XIY+K0wFhhlKP7Qxo74CeIVqMM9NoXKAE8ALry2BlAawugw3V6i4dXgYZRRIqRxSBUaWok8c6XwGREkVtEVGJGjGWIhEVkgxJGdDfEisRafqO/HFu0Bj7HvLJhaDIaQkab6rRDeyDyDcYbIj/s2KLl4OE3ak4CqSO5m2Dgh2Q37OR1FEVygEcW/OnUah0egr1xUs0ugOYhxbTA5l5/478MDsbDC8D/mYqHRFuHcwqU83Fbkfmy7VGzVpI56POtZPQQHhPNZzrgiOsq/hlFPUIvifwAfMNcJtKoQw34a9++TV8aBKOMWGbNfLsKNNkeI8BlTFQVgBbDQ1kb4RpgMxAQtIFfGFo4Is34WVTJcpXmvCcUVOaDTrfOahK6yPr/8ej5w5DEQSHdUy3F8NyDxxdCBe1hXk5sKYC8kOhlQcKO8GDcXq/9wN3+LR2VKQJMxy6Q+tdCP/IUxQmMwUuCIVfP4eywppj8gCrMmBeJKRYVUWto+CMgRBTpyNiwAMVKJ1/Bbi4HJ5aBb9vAl+1VckVD6WtoM8m2JYF6xOgJBledMGSSOhgwm9uMLbDbxFwpA/uSIGUBm4fq4Ej/bDVr/5CDpeutVNQZ+ax1nXiRWmsieiaPFhx07AICfyU19k+mtrRkVR0cxOPPCWhtAzThDIrYlIcLEjq/O5tQJgEnm/6rTJgMyhqYkVTPF5wmBImTkOTepkLysKgLFr/Lw6FIssYCxIofheYTgmUCAekGpDohE4O6OGAzkbzBEqAImCNG1YUwuoKKKwAfzEkble/lHZF0KtEY0Y5ug4dyHcVhW7Sgi9XE2udIaxu1AkQngEZGTAgA5Iz1ByuLl403H6IIszxaJwPQX6/X63XugqNeQ113/4zs1fFy8yZM3nssceYN28eW7Zs4ZNPPmHMmDFNPmf69OncfPPN/P7777Ru3Zq77rqLSy65ZG8e5kHB7lQcgbrtztum6EtaFCzrB4ctqL+dOR2MIPHSE+VbW6EJt3Wd7U9DImMAEkORyLvxAxIcTRFjyFD6JnCpqSjLZlTemmAohTQJCZJia39dAJcJ97jhJCccb13Bs9FgHkjXbEEdbFcC/YGrDUi00lCbfBpwMlEzOZ8fPNZknV+hqpkUoCIKFhbDMW6oDIPvK2F0pDQeKO11OxqE5wIvmXC7CW8aKlu+Ddhi6M7Ja73eSuv8BNIwwRQAd1RAxQ7oVw6nZEJVBfy2DfIMtfgOT4Ih8bAsROKn3ITphiavZCfEmZC7A5Zuh1Qn9EtTG/LZn0JlmY6jEA3g29pAXigM9CtN0CoaxgyAqDrCpQoJl4utc/x/VRC9FB7I1aQUAkQ6FMLPbQcZpbCgvYzEnVPgKRdMd0CsF16pgvb5WntlWDTcF1q/aSHW53K8H4r98LUBK5w65lEoNTYGReJAIu4kGl67aX/ioyZVU9TAvyXUXvojjPrm1SxqoiWR7LqnwTShxEc9s2vg/4EoSmPCJPgYY0wIN4O6x/pUseP26A05gtK7lSESJaVRllCxBEpZqKInDlPLOHhdYDgVeYtwQLoDWlkCpauhRUAzaL5AAYnzHGCtF1aXQHY5uEshfAckb1ZKc3gROKolUgJCJVB6HYnOf11d7UcRlVKgJBoqMyAuA9plwjEZEBNJo1ShyOgnKEWciaKtyWgMmYmiKqNQocJh7D0fy8HOXhUv5eXl9OnTh8suu4wzz6xbcFuf9evXM3r0aCZOnMg777zDDz/8wBVXXEF6ejojRozYm4d6wBPCrq1xFKBtjBapq/JBQiH8NKph8cJCMPPBsBqRGcisuwV5TCbV2TwSRWR+paYx20nIh3E0O1/S4EhDa9FcgzwzF6PJzIO+3BHIv/Ehev/3m/CZG4Y44XRrVClECzzegXLEP6LB/0S0qnHgy7/FgAdMeMQP+DQotQdmeaHCGnAKKmC5H5Y54CQHbI+BtUUw3AFTKsARDj86NHl+hhqiTUID8fvA1abSPi5D1TePmnC7obvqJ1FkakgD52Ep8G83hG2ApGoYkgRdI+Hf82rSRR38WkX5ymgJxgfQAowpSJT9FZixBeYWQVcX3JUBH5dDm69gU6XOE0iIxnaA1Qb09Os8JMfCaQMgss4dYjVK2Z0HbMiHCysgcymUVug9Rji0RoqZAPO7QEQpFMbDjYmwNgrGGOquPKMCFnigTyn0jYPcWLjH0fDAPM+E80194NMd+olG1+GZ6Pp6yPpcv0WDfV2z894gcIddRONm1uqg7R3UT9W0C/p/DLWXmthV/CaUeuunboqC/lbitVbkboJIJyQ6IMK0usj6AStq4vVApUfRE5Aw8yGjakCUlFkCpdQSKNVOnQOXAWaoGrg5nBDqlDBJMPRvO0M3JW13QaCAPpcCVPG41gery6G4DPwlkLgZkjZCmwLoWyafTbBQyUNjWCQSEg1Fq/woolISDvnpUJ0JKRnyq3SNVTS2KYpQu4QvkU+sE7rJMlFU+1s0Tg5CguXIFr7/Pyt79RyNHDmSkSNHNnv7559/nvbt2/P4448D0L17d2bNmsWTTz75pxcvoAu8gtrpiObidGil6cX5ULgD8npYpYB1BzQT1cMGac1hKD0Rgb6I8XWecgqaTAahCSUEmX0/Q5NeY3hM+Vci0No0Qw3tYAY1K0x/jVIEHwGnm+CthmwHPGZduX7rteNRdGAoinjUrcqqRhNFKwPO9MPf3HqvLgPaOWBOqAaoAj98WQn/jNLd0dUx8HwJzHJDSSiEl8NDMbqj+xYNzudYp+toQ52JXabExTrr2NwmzDFqjLl1T/cnwFIPJK1R3r9bLIxIg3cWw4YqpYuSPFDeDq6OVURpJLqbfsWEUiecUA0fb4MVZZAQBg9kwbp8KPlKE08SEmpOYHtXmOeFTqY+q5Q49XEJr3OL6QEe80PiDnhyJfycAh3WaRXaUIca10XFQXYr+Ckd0ivgqlS4MkbRkMOBzW74ezVU+2C4FyakwOuh8jM1NHG/aWo5hiw/POaEL62Jrat1jochn5WBfD3zkGjbVappuqqmbqomitrRkWQ0GQX+1tJUzc7wBQmTIq8Wzyz01o6clHh3fmMT5YS4EIh1QrhfKR3DB3jB65Xpvawayqs1xgSqiUzUsLDMBWWRNeKkNFR+FD9K+bqcSu94QyRQYhwQ5oR4B8Q5JNo6A613UaAEcKOUbTawzoTcCkVTogogORcS18PRO9RevxJ9fgHBGSgnjqJxoYJOCWUhUJgG2zPBlwFtMuCwROhoNE9wbkHrtX2LxpU+6GZqARrfPrPefzfkYxnNzjuU29TmgBJ4v/zyCyeccEKtv40YMYIbb7xx/xzQAUag4qjrzjZshK6tLPHihtahsGw49JxefztzGnBGTTjfhe4UDOR9GVdn+3CUmvmJmjVsBqPSviIaXt9nteVtGYH8HlMN3eFXW/u6j5pw7b+Bs0xYUq1J+CEXPGWoSd57KJIwnvoprVqvR43Z2WFAklvnspupvHpWqKIXXYDTyqFdlCawvg4ojgZvidIgv1bBfRHQO0QDzwnIi/M58sqsN1RB9B8TrjLkw7geeMhUa+5gylHjvHY+CF+jySg9As5rA7M3wZJC+W1CfZAaA950GOqCh1Evh3f8kOuE1Goo3Aw5VZAWCY5MmJwLGd9BjFeTRZL1mlt7wvxK6GxqEE6Ph1MHQFidkaDcB1cVQ/kaCNsMyztDlw2QXAVhoRCTANnxMN8FuUkwzgUPt5KX4RvLO7GyCN5yQbIXTo2AW+LhSUNelVZ1Ph8/cLtfa0id7ofuIUqHHWl9rmchX9XT1FQ9vYW1VlbQfnzUlKDWFSOBn+CJPpT6VTXpQX/bnVTNzvAGR0waML0GUjk7CZgQ5VRZebxL4iTMBJcP8Kuk2OOB8gooqoLC6tpLQIAVPQmVIAlETwI/1U5V+IQ7VCHjc4EvRP9Pc0i0xDjksWmPhFzmbgoU0Hvejvxb2cB6U8ZwswRStkHSJmi3Bvrla/uA4CpH4sZBjVBJp+k+Sx4HlCXD1kzYnqHvT+dkOMKpa685n7+JxpgPUeTXRKXLF6LKyGlorDLROH43GjdSmntCbOpxQImXvLw8UlNTa/0tNTWVkpISKisriYio3+XE7Xbjdrv/+L2kpGSvH+f+og36Yu6qeOkYK7Oc14TEQvj5pIbFCxvQqBEUJhiJJtpKdPdTdzAYhdIYQ9HAYSCvyruo7DmAx9SXeCPyi7QyJCLmmLqLvs9U2/1gkk3o49GdzCuh8L0V4XCjc3EPOx9gllHTEbjAhKhqDWprgQ2GFks7wjqu+eWKmvyE7pCSYyC8VD1g8kMhvRzGxdXsuwdqFPUWElE3Gyonvs2EwwylvSYARSZcY+hYs1Ep5Pl++GkdFFdDrAsuag/by2HqBthspYs6+2FbO3g0SiLpNNR75wnkx5mfo5LU1BhVNJyyFnxTda63BH1WW/rColIJFweQ1QpO6acISoAiD7ybDa/6IH4bJO+AVV2g81Zo64X4DFgbB/MdqgZJSYO/R9Q06Vvoh3fdELMDfo2RmM1KgFsdCpt3RHn8YMqAC/ywzq9I1XyXzucZyLA4xnreDWihx3xUWTQILUXgDtqXg/oN0NoE/R7LnknV7AyvKeERXCIc3P21pJnCJNopURIXIoESZ4kTp4miJh4tBFhcCsVVsN6tNFIwfoKiJzESKgFxUulUeW6UIQEb4tQigUYIJDiVanYaejwgUNqzZwRKgEo05GSjYWcbWoU5tghS8yBxIxyzFpxFlo8GiZQSJHAC/pTmCBUAfysoyoScDNiRqcqfni5FRlJpvlj1oXHoAzR2RaLU5g3IiPsDuk6rkUi5DLgECTzbx7L7HFDiZVd4+OGHuf/++/f3YewT2qB2/buKywkd42FloVJHuZ0V6nV4Gth4KrXESxzyHXSyHqqbDAxD0ZYfUV8QkLD4ApXfZgFrTU3YJ6E7kkJDgsgNXG7AFaZayR+GRBZYHYK9kOeH8DDduT+LohknoQm8OQPBKlReC7oTD3PrieUmlDrUY2RtiFaKfatcA/V4lBMfFwL3REFoGXSOhs8r4KRq6BEUdz4RpUqmowk71VADtzITig0Jr8vQCsgnGDIY32bC1zmQU6E0zEXt5SF5dyVscsOOUEjygjMZjkiQR2C59X7n+KGoEublQpgPzkiAm9LgsSXg+UnbVFnbhgE5h6tfRSc0wbdN0urQIdZMvrkKJq+FRRthebpWnG6Tb0VcyqBvPKyKhrkGVDrguFbQN1bX1LHWOfi5Cv5aDd2KYGMsjI+AvDAN5iusn1vRYF5ifQ7LUAm04YPznfCaQ9GRwajs/X00QZ5gPT8Ohd0vQCmkWHbuq9rTeP21G6kFR0oCv5f6mt6HAcSESJTEhahVfKwlTiIMnQ+/R6mc4iqJkwI3rK/S69el2lHbdxJI75S7wHRon5FOCRRHiNbEiguBJKc8Sxia/GPR1z7gP9lTAgUkPPKoiaZsQNdCqFfN3VK2wIANELYeqgtrC5VN1FzPAY9Kc4SKKwa8mbA1A9ZlQmE6JEcoknwm9SOAO6Ma3Th8iK7HZNQo8RQ09n2FxrQKJJhHoAq9ARwCk+0BxgF1PtPS0ti6dWutv23dupXY2NgGoy4Ad9xxBzfffPMfv5eUlNC6dVMJhIOXdHQnvTt0S5B4yauAtg5YPhIO+7z+duZM4FJVAAQ4Dd09L0Jf2LqiYQTyxhxFzd3thahJXBs0WN2G7uLeRZP7BSgXDtrhUagL7hnoLvsFL2z2wUNh0NeQl2Ydipjcirww3Wl6AjORfyMUNRL+2dDaRev5f/bOOzyO6mrjv5lt6pZkuUnuvXeDe8P0DgabZkLoCUkgIdRAqIEESOglJKGY3sGmGmNcMAbcce9Nsmyr1+3z/fHeZVey3CgJfOg8zz62dmdnZ+7M3PPe97znHPVHcrmgyjahonI5a685hvvQBNciQ4xITg108cKfquDVLK1KY3YBCne9gUJrv7IU4nnCETh7GoG+zxzFwucWwooyhecmtYPcZHh/PayrhN02eKPQ3gcF7eESn8Jni1Gad2k5ZBZqVf2LHPhVDqz+ClIWxa+LHzmugsGwqUjshQV0aA7H9JPTWl0FL2+ADSbdeUt7nWP7EtjaFfqnqFbL+2iMhmbCXzJhmUt1KS4DyiPwTDn80wVd/WDlQOtk+NASE3c7yqIYg+L7HgRC8h14xlHF3FvdsMYW1f+kuX8mIXHzc8T1Ce8iLc3E/Vzv72KhRGBiQEl9jUnVQQCTGCjJdEMTj/nX/J1sKUOnKqBQToUfysphi19AJdjA/r9hT0ydk8TQTsgFPhtSbUg2ACXVDS4PZNu6v12WNG4xgNKBuP7k+wQoMatGACX2KjLj0jwKeaXQMR8GboXwDqjdo0VKLWLVqokDlVjopwUHBqnuZEjOhepc2JEHa3OhJl1zTy8Edr9NfZRKpDN7CzGzbdFC6EIEpN9A81GFOdaBaC4Yy7fTJzbawdmPCrwMGzaM9957r857M2bMYNiwhvIzZD6fD5/vYHtl/rTNxXfLOALokhmvWdCsFD47omHwQhniRAfF32pv3u5B3eyimHmRRuFTlMYLYjbmoVXOtSjkMxeFAs5ibwDUC/iNIxV+swikRuBVn8JLoIydC833r0Mx6X+yd6VeMIWn0ASzCoWXilAvnrGBeG0av61jLkuH0eWQVAtHRyQYHYBi1qd4YGoyLK+VIPXWSrghAHcnxc+hAE26EQQU0lC9mL+hBpFeE076CDi+Ggbt1pgdlyuR7vpieOWDuSxfvYTMM39Dd8eioC20SVcm1Ycoi6usGO5++mVS3C46nD2RXzWFVZ/B1yvqTs4BDywfDLm7tJq2gC4tYUJvWFgOb2yE/J3ghAQo8ttCZgiG1MLWw6R3WFKrwmDtM1TkzrEFUJcCoxy4JAir/JCfBH2jMDQH1ru0v1+hifxhFFKLpTI7wEMOvOLAaSG4wwtrDaB9Bd2bZyGq/VniwGWFuY5XN3CtD8aC9YBJQ8xJ9UEAk2+AiKcuQPkGnNgCJhV+KA9AWZV0ZlvN37UNMZ3E2ZPKZANMTHinxi2GK80AlCS3WJp0t0J3UZd0XDZ1AUp74uGdHwKggO71ncRDPtvRQiEFaO+obsqEfPBtg5oCqClUg0S/2b4+UEnh4ICK7YGUluDLg9I8tZtYm6Xz74jmkaM49HYqMduDWOMPEKDqhrR5LdB88jzSuJShe70L0nIdx/6b0zba92c/KHipqqpiw4YN3/y9efNmli5dSnZ2Nm3btuX6668nPz+fZ599FoDLLruMhx9+mGuuuYZf/vKXfPLJJ7zyyiu8++67P+Rh/qQsmW+fcQSQ7IZ2GbC5Qk5wRzeIZkB1SSVflX3FuKbj4h1BZ7FXqdxBO3fy5fbtbDzssL3AC8TTpEc4CpVsRozB7ZYYkzFIbJqoO6hBgOZz1N79euDJsMrN35YAXCCe2bHG/N0XObSZSAMRC09sNp93NPs/02x3LKovk2lyWvcAG2zFot9M1bY+xD6ckq5zSEXAa2oGRGtgTQ2clAQzq+EhH/zGEiMyDbVGqAEeQI0cfcCRlpiHLBQiO6sKlu6B95pLpDo8R+GBvz83g+f+eALhUJBWZRsJ/PV+PC0tLrCVSXWfA8t3wT8ffoRtdyppfZTnnyzrcjEFG7TyyzLn7fHB54PAVahVdsSC3NZQ0BzOWalifCELorkSYe5pqmyjri54xQvlDvj80CYLbkqDLi6xJbVmbB8Pwlsl4A1AVjqc7YOzUgTORiO26mjUwHM8ceASBK6Iwtwo/CoKV3iVsv17VDcHxNY1QYxLzIntQVqpP9FwmDAQrdsnpz5zUnEQwMQmLnyNAZH6zEm6G3CgIiCWpCwAFRWwzbAm5QFl7DRkEdRnJ5a1k/jCI0Yy3RZrkuZSKCnigYAtYOMyxxixBOgyUEXr3B8YoMSskgQBLUq9d5nfbefA4Eo4cgeE8tVNuWYnhANKD642r5g+KYmDZ1QsFyQ3U68fTx4U5MKqHNhsUrG7IrByMt8+28tBzPCbaNqrRQuXq9F8MxuFhTeiBRBo4TQFLcw60Khj+W/bDwpeFi5cyLhx4775OxbeOf/883n66afZuXMn27Zt++bzDh068O6773LVVVfxwAMP0Lp1a/71r381pkknWBu+W8YRKHS0uQK2V0LnKHw1oYLf/34CC0q/4qauN/PnrrdgWRbOAqAGLIOUNm3axGVjRrG9oJBfPv886ydPjod8jLmBro7AwEWI4n/WkjMaR7xwnYP0Gx8jpzsKZY54gSVRlR+f5IUWdt39P4XSkO9CK/ruaHJ8AoUYhpvX2WhijSCtyR5Ud6U5MMeRoHItmpi62ErT3pAioagbKKqG/ukCIrchZmecD+YnwZfV8PsWatpYXgOXpeo4YseficIaD6JQXzlK+X3GgQdCkLEHulVCVx88kQs9HXhl6gz+dc0JTGgPx3by8bsXH6RpGtz3xP28g0WfKHxcAO8+/ghb7ryCq4Z6CUTg0V9fQtXF0P/Yi1nnUyfsQBqsaweFVZDcUU7G8crhskWAIyWsar2pVRBqAwO8kFYNn7qhNgLDHLi7KXRNmCHKgb840L0cHqgwYYBs6JEKF9sS245EK9JzUdgvQFwDVQyc5cCeiKodn+iBpZau57XIGZ+DnNkLxAF6ZRT+FoJTw7A8gS1JZE5qD0BJuizINrqSrJjWxFMXoKQbBiPqmJBOIK432REDK34BzfoZO6B7OmibirEJzEmlR314kkxtk3QbUsxx2Kb+SbUtYBcb7qClFX0W0ov9twAKiLHMJw5UdqDnKB056fbAsGrwFEC1ASrVBVBZreesGj03sWKOhwJUQD1+UvPURZk89ff6wqOQTRJ61oYSf8a/rUVRCPYNpEGz0dxxN1okfooWXhuQVidqzuFMFNLsz8+jFcWP1X5Q8DJ27NhvWmc3ZE8//XSD31myZMkPeFQ/bfuuGUegVgHvb9Vkm7a9gnMfmkBxzRKuGOLh9q9uAxCACVpKuTlSwGXcmFF4/UWc0cPFU+ecjR94bvLkb/YbdkT7b0WOaIklgHAFCqHciuodzEX1DrqjiaBlwrGtjcAjQXjAC1MtKHTExgRQzHkZcsbtETi4Czm88xE7MYH4BLkJgR0QALEwYSNHk1939ACUunS8kSSFe9YBa6u0mhuOQNcNSLsxOwMiu2FJDUxIgX/WwIAkFd7yJJxHB6QJKUc6D4CzI7B0I3yRASkeuKOlmKTj3ptB6a9O4Mh28OaZPpLcFl6XxeVPPsivk6H33+9nc7nF9uceocQAl/uOiodKH33yEmo80GXsxfQLwaqW0O9raBcF/HJGASAnotCV2xLL0rkplHSCL2woL4WNSWBnwFvJMCDxZFCtmmvC4C6ChUHonAT9s2CuR7qXR81YfYbYkUIkXrzJfH85cEFUvaL+5YZBLoUT34xAlzBkheHssCq1nhuGFxPCOauiyjp6nYbNbYDJvsI5mW4Bkxih6DhQHTLApBbyA7DSMCcVAb0i+wBD37AnngTtiVdZYS6PWL1sSwxNnge8bmXuVNtQaelaeBHr5Sce4ulmCej+twBKzMqoy6ZUIkDQGt3D41D39cDOukBlS5mOP8aoJAKVFLRI8HFgNsLbRCAlNVeAJdAK1iTp3ihEgKkneq4PNm15fxZElWxfR89nqjnHJxAQmY1C05sRgPOjMNA4lNo8gv++QLzRGrYfleal0Q5s7VAc9rtYulfNGjfuquCGiydQtH4JM6f4GJzronWGzXUz4wCGWRabO8WBy6fneWmZZuF7J8Dz55zNKODSyZPZ7Eh7MhTT+8fSBHY+mvAXIeDwR8SAnMreq5YtUbgnCL/xQnMX9HfgEkf0rWNJ83ATmsx8KBzxMNK/uNFq6J/Imb5ofu8CJPIMIUp4DdDakTOM3fxeW5Oi49XE3Rn4uBpGOtDcknbj1yjDoEMS7PLCrCpNuM1roUcNtE6XA/8VAj/PmmN9y3yvXRReLITCZK22X20K8yzI+mAGpaedwIQE4AJw2WAR4Jc/+CCVFZDRuisld8SBSyy09/CxAjGPPnoJvwjD+l9dTGgHBGrAX2v0EB7pMFy2Kuj2bA7tW8PztsJdvlLwZMKYLHjYvfeksDsElwbAWwHto3BaU2ibon5CNwHvWXK2c1GFUAd4xIHLorAnDG+E4IkQtPZL9L0wDE+FoTAsxqQtYl6iKEq5POG391jKBOvXAFMSAyhpCcAEBE78YcOUVMHOWEjHhHXK95Gxgzn2gEvC2MSwTrUXwj6xJ80sCWFz3ZDsUfZOxKXsuSqznwgCKxHkINNRD57/BUCBeKn8GFApQOOdiUBKJ6RTSwtDzS4DUvKhogB2F6mIZH2g4jPn1gw59AMBC3dKXaCSkgvFaQrnrkCLkiyUCXQqh5a2vD+rRvfmm2hBk4NCmtcjMDkHsS1b0BjVouvVD4WEJnDoWUmN9sNbI3j5iVlLvnvGEUAbdwW3/nYCZRuXMPM8AReAa0fKGcYAzJSa8znimVF4gwIueRmCHE+dpO1+dc7ZrHAge/JkNWm0VHH2AuAq4qLZQShU8HfEeCQClwjwVRRuD0BHD7zp0mTRw4r3M1qGKqsmZG9zDAo73Yl0Nn0RsLsApecehlZSjvn8eDRp/SVSl2722JqwXDY0SVYKctdqrcBucLSajjFdQQsKmyhL6Kha6J0OzwTgyAhsdOk3M5GY+VXEOL3oqLjWDh+QDOekqST6vYsW89kpAi5vGeASjjr84/Mgx3ZxxwHM0w+yC+oAl3K/wwNfBLlkkCcOYP55CeMys2nf53ScCES94PGqfHlqEvRvpf4rc/3wXBg2+6BzGM5qBwVeTeaJE0LIgRkV8PcwpIbhFB+clAlYcHMEzo3AzLDaK9SGoVMIXjN/Z4ThH1EBuZ0O5DoKz61H928YMSYdPLDaox/+jRvaJoCSbW6Y71LdnPpOLBhWWKewOg5Mvgnz7CNj55v7zVIK8TfgxIR3gkkCepmWQGszN7T3iKVyXGIlSi3dK2FMfxtLwCANMShd/4cABXSvFxPP8tmMQjgexFx0QM9AK8COQm1RnFHZUSDgUhuJh35qzX4PFajYXkhtFQcqqbkCyNstPcsr0W+0QGDlPL5fgFCM5obp6H5rgzQx4xELOQ8xqdsRU1yJQkUdkS7uGMTuNtqP1xrBy0/Mvo+Mo9raWm44b2/gErNEAPPApr/TPCPIp+fHgQuAy7Z46iQfDvDouWdzssfDERNPZxLKFLoTTXBBNEnEJrszECtxONK8bAJqHVgShJM8cJ67bsbMWOBcRxNK/Qq1oA7WJ6CO2+vRBNsRgbwtCPAch0JWXvOeL5ygLXCB36vJdAcQbQGbqsHvhrZROMGGsY6YpA1mm1XJMLgWNtTCb5Jhey0Eq6BHE9HtzVFhvpVoxeetUnbO+CL4bR50NxGflbsUa48VFQtHHaa8WcuLK8Lc/VmQT6akcNlgL+lei/zKKH8c7v0GuBz1XDVf5kd5aUWImVOSv9mHVWtjRcDxgZMETZJgVBto0wrm1MA75bDGA9WZ8DcfDE1SpePrzPg4DtREYFEVvFkKKyyBn6NsKAvCQ+XwRRhyHH1vC/EePTuQ5iGKxKdLPQrJDXbB8T5o6oHZblXP7euBWbbaJkRQPZfchOu6I6IeVr/ww1KTUpzInuwrYwcS2JOE0E61FwJJEDHakxaW9FSt3WKjPC4IWFBkyZEF0L81KIMlbO6tLKD7/xigxCxAvFT+ZhRmAbGK7VFW4LHouB0HAmVQkw9VBbC+AKp3Qk0wXpm2Fo1dTKPSFDn0AwEVywUpLeIgJTVXDUSjtp7vRehZDxBPW76Mb5e2vD/bjlL6ZyAdXRe0kBmOznEeCh/vQIClnHiI7FRUhqEPjTqWn4o1gpefoCWjySb1W35/586dLFu6hHFtLfrVV8Qau3akD48LXlsV5NUz6gKXmLlsi4v6u3l+eRD7/ff4euLpfILiwtcgZ3gTmlg3owmsCAk501GI6XhHfYYud8HJDdyNxSb8lI8m4PodiL1IGHwRcoCDEQ19HhLUxapuvogmqzXAuhRIG6jVsjcCZMcBYbYPandDUhjOawVnZSi1+X4Hfm0JKHW3FGJySqSTOTUZ/lwOVwehl1fx8xNQyKxzKRRsU+ijuj10NCrU/ApwZwxk3O3v8clNx3HCS36aJjm8sTrMv09K4tGvgox/toZPpqRwTt+4ACUGXNYXR3l5YjJXfeinz2PVFNfCyAv+RcdBp2Ing5MJvrYwuSV8UQOvlsCWCATToUOGmcT9cFsljAzDs0ZjUhSC7UHVbgnZ4PFAN+OEQA4i04IOXljuhsPcUOqBM9xQ6YZ5BoBeamkFfwNwqltsx8ModXok8KdoPHX4T37Y4IdF5u9iPywLiiV4u8G7U52867AnHoGTYJLCOFm2RK5dXJDmUXgnakOFow7dfnM/+DHCbgNQUpBmpTk/DoACe5fK34KO24vCyO2R421JHGiEqsSolBZAfoEAS01NPPRTn1E5WKCCJWCSlgBUkltozINoAbESMW5RtJDojZiM71sr4iBN3TQETEKIfb0aMb3VSIN1K5o/tqG2EhF0TUegMObhHLjYXaP9+Mxy9qeo/QlaRUUFTZo0oby8nIyMjP/14fwg9jJyzN9FtPv2228zceJETu5q8+JpPjyuA05be9ncrWGOeTGAb9gIbnv3fU5OSaEFmsBWm3/Xo4nhbLQSzEEO8FXgVwa49HKpN059i6KJZwrwuiOH0sWK96gpQNV+fWhVl49WTnvQ2FSYz35FvDz8l8DSDdBsZrweQ81h0HGAJt3WRbD0a71/ZDfomwszjJ7HCzxu6d9jo9ChQCEnX0vYVaGmjudkwRhL5/1lFfg3iVkZlgMt8zTJXh6BZ5bA6grTYG75R6z4w7FYjgDJ6T09lNY6HDm1ms1lDp9MSaFfS1cd4PLxlFQGtnKxrjjCqKdqqPE054Tbl5LToSUDO8H8JrC9Cmw/lEYBG3Lc+rczmsA3IYAQSy8tDkujYluQZaqDTfZCU6Mx+doFO91whQvutRQim4kAagDpBsYAN0aVin5jFDqGBEZeDEA7P2T5YY4f9gQl8O7P3mn/GxFY8MTYEy9Uu6E2CUJJEPaqWmxLC/Jc0NwDqR6wbbF4xZYy0ELEmQTbMDwhnRbeHxlAiVkte5fKt9CxdUBApR1165eE/aqhEhPTVhVAVXk89FNDfBxS0PkfFFABvJl1gUpKK3D54se6BulVNiEQ2BWBlS7UFbB/XxZGLOZbSPTvQougU1A4uhoxv/PQfJCPxjCIrndXxMSOoeGea432v7VD8d+N4OUnaJ8jYeCR33E/T738NhefO5FTvgWAiQGXJsNGcPG771OTkkIq8YJNPcy/PlQc7kbiK68AcK8D60NyQOPdUGHFG+hVm+1Wosm2L5DiwHuOKtXmWmJXlgEXo0lrGQJIx6KicDYKXUWJZ7yAKvLuWANNZ8drokSGQnY//XZyLSxdoPcH5MGgrhKmJjkCQ2ONDucB4Ily8JXBSTkw3gd/e38eFU/ey/MPP0hS87bctgFKI3B0BpzbXg70TeCZR15g89vv0/WKx9jeMokNd5xH2bsv8/LpSZzeMz7lJwKYNycl88cZ/jrAJWbriiOMfjZIMKs9Jz0zh+qsluSH5ahdtpx7KzfssuFwt3oofeGG49zSnNREJUDeE4EWXpiQBR8kSwMTY/dWOEopvQF4zYJkBxaE4Fy/LuhTfoj6YVkt5NRCz5DGLILASEukCdmDVuUAvS3dMLHwTq0PdiVDyCfA1NSGPBvauFXzxOsyQljDnhShvz3mlQhQUpCm5scIUKBuqfzNiBUIomekvXl1QMeb+FRGQyr0FhPUVhVARXE89BMDKjFG5VCAijs1AajkCah4EujdSuLi2u3mWHugMFAHfrieUTWIrX0L3TupKJx8AgJyNSj8GgMsheZVgxilNkiMHMtYarQfrzWCl//n4CUfxXYv+o77cRy45P63eeqaQwMwMeDSYtgIjn73fZqlpFCIdBMV1O3kW4ZASDnxhnweBz4Pa8K+wy2aPpN4V98UNKG/hrKTYke03JHzd1maNE9BDuxpNEkdg9Kmn0J09TNodfYH4pPWk0Dga2g6Px5z9wwHq4+ca1kU1sxVqmxGJmwZIIDUzhEoeh8YYmn1lx6RE+nvhhM2zOOoo48i6K+lTZs2nPOfeZDTlnAytOoEv3PpPO5++Glu+O0vsXBI6z8cb4eulL31DC/VAy4xiwGYRTujZCWxF3CJ2briCGOeDVKT3Z5er35NdZqPzCbwYLr6V73qgRtsOe67EZvVMiINzLwqOZ6jm8CwdLjXht86Et2W+9VP53k/HB2ADQEVZKv1Q05UY7gDU4jMgWxHYSYPcsZrXNDEq2JrpV74OhnCSdDOo746uTa0dkmoW+CCVZYEpSWIWSsz55dEHKCEzb6Tzb3wYwUoMaumroC2CIHrlsTZlLbsHbpwIiqdHwMq1QVQtkfF9mKhn6j5XoxRSeHggIrLp2yfNJP1k5oL3oy6Ydli9OyuRNc3DT3DvZFO5NC52oO3UqQXm4bur6aoAOZRaNxqEYv6mfm8GAGqSjSH5CFm8GhzzD/ksTba92eH4r9/TM94ox2ktSQuzvsuZlkw8bSTqQ6/xqs3TOS8twK8dPr+I9MLCyIc82KA5sNGcM677+NOSWEWWgG9iFiSJmhSboJASazGyx/Qiv3xEAx24Awv5Fh7txkIIjHotcQnnSiwxYKvHIWbxlsqZLYVaUti4ORPKBX7LfPZn4in9PqQU2wSrLtK9LkErjoAm23IToH1VbChGq5zYKWlQntpjrbb7sDTFrzsgmDZNh69/x889OLjDGsZ5dHjUjnmxUIenzKSS56Zxw1j2rLQBdcsWkTxY//k6f88yUUDPPyiv5ujXviCwNYNRB1HzfEasKxkixnnpXLDTD+XDPIyoAHgAuCyLCwLIkTp0daheVNoYyut9xEzlj6U8TXRgaIaeKwYKv3Q1obDvRAphpvzoZMJ8wTCYjLWmbFZhBxEGnKS6YgBWemBkEfaEicFViRDhRcK3NDXhlYuaOGGe90CH78nfg/vRGB8A3KSRyAAEwMoGfw0AArES+XHtCnbiOtoOpjXUJRVU9+ZOg74S+oCldJCqArVBSpe4sLhXA5OXGq5VUo/EagkNa2XXo6ux0rErJSZ4+yF0oWbN3DM37fFwsAfIDDSGmUIjiFenfortCiJAZUtGMYUjccEBHAO49tX2220n4b92J7/RjsI+z4yjmLWPQtadO5DSpNslu0uw3GceHuABmxjSZSaQIRJw0ZwW3IyFprgshG1e+I+vnci8LYD4TDsiMJNpoLV7Uhkm+iSn0Hq/xju3obAzHAEkC5yVML7TEuVXBOP9kikw7gFrdZzUIbTPxGo8QNpkbo3vs+kSjdFq+KKFNhRBd4QvBCCMV45/3csGO5oVVjmQN+tW5g4YQiVe4oY2dbN9LOSSfFYzD7Px5iphbxw4UgunzuPpO3beXD8OILBEBcP9PD4CT5sy2LG2XDk88V4Mpty2ivFvHEmnNx9b/YlK9nisROS93o/8ZqMejaAv2kbFsyZi9U8ifcc8EThgQBM9sP6ALzqh6Y18K8yKPGDKwqtPGrctxA53ZiT+GbfqBJsiQfWeSE1GTYlQY4Plnhhla3rNNYNp3gh05YTfBM4HTnebaj0f6V5rwKFCWOalBRLv38yCjX+mAFKzCqIMylbqFsqvwMSg05m37qPYEU9oFKgXkgxjcq3BSpYkNy8bopycnOw62FeB4H7GLNSjQBlb8TK/TfqmjgItH6EShrUoHozFyCQl4oA7GIUEtqG7s1N1B3vQSgFehRaMDXaz8Maw0Y/UbsHCVG/bcZRzDZs3MThI0aRGS5izpSGs4rq21/nBbhuZoCuN9/MibfcwgDLYhGivk+n4biyA5wTUpXXO32qnQKauCJIqwIKx3yOUo1DSNi7HYVuilG/mxRHK63f7gNjBdEKfhzKqgE1UmuFqOj0BdBpWRww5Y2DL7vKcf4KGLQV2m0SazSpPzTNgoeQuHQscJcDxVu28OrQIZQWFTGyjYt3z0khxRM/oK1lUcZNDRDwZlFUXEIoFOaigR4ePyEJOwEcfr49zJHP+fGHBEdfPzO5QQCzL9tYEmXkU9WUujK4/MNVDG2S+01opzwoYOlFE340DH6TYtzULS2MC1V73eiBoBfSkiCUosydzR41AexlwyYXDPfAOgsutzSOf3WgRQTG25Bii2WoQUzNeEvgsRJVM91uqWXCYdRlUHJQ7Z+TUCjwx2ZhFJbYQt1S+RnEdSnt2b/4M1yjtOQYWCktUMuBmEYlEajENCoHm67ry64LVFJagqsByiEm0F6BRLaJacs9+f7TlvdlYVTZ9n3EokTNMZyEMtG8xEW5McASQiBxD5pHWqKw0Aj0jOf9l4690X54awwb/QysLXLq3b/DPjZt2sQRY0eRFS5i9kECF0ioA3PbbWwGArfcwlzLIhmFck5Eq6EuKJzkBT4OAxHonQBcQDTvzQgUhBFYuQmlQD6LMgOOQaAFVME1yzJNCh3o2wCA8aJV71MoRJGJuhTfgSjmJFOkzjF/f22rj0kz1B/pxtR4iu7KKvgsS72aupj3Qlu38ObIYZTsKWJIrr0XcAFol2kz6zwfo57aQzDkGMalLnABGNbGzYxzkxj9dA25aRYTX63ltTMaZmDq28aSKGOfkbw5UF7Oh/f8lU2/vZ+QZRFFYMALrI2aFFEvWE0gO0Ps0i4fhD1QYyt0drzbZO8Aixxdu9GWtEetUMGvfuZ6LXSgeQROdUGGYa52WsqyOhV9NxOljZehpnYTGziHF8w+/9fAxUHHuYW9S+W3QQAl5ij3N2lGgkZQm8ColJbUBSoeFHprgikWd5DH6EmvC1RSW6lqbUMWRCByJbomUcRq9EILhe87bXl/5kchx+nmeDyo59ktiOlxIXD1NQLFW83xbiVe0LA5yiTshxYmPWjUsfzcrRG8/EQt1uPo24KXxF5Fnx4CcIlZIoC5GZh+yy1MtaxvUibfID75h8JQGIJLfPClyRKJpSnbSHj7OhIFTgamImd4NQIVH6HwUAw8gMTKdzgKOyU1MItVIvr5NwgE2eY75wJDo3JOIbSCHmSrGudfkPg3x9BZRahz9C3EV6ZbtmzhmdEjSfIXM7CVzco9UZbvijC09d6PUrtMm/kXpvLxpjBT+nn2Ai4AjqPaLuEoXDfSy8zNESa+Wstnv7Q5LG/f+RvVQYdxz1ST7LaY/YsUXlkZ4srXHySnSxdqfnkFgWTY6FXtFRtoHYERSTAyRRleTdHkvxCYaakRYwHKJil1dG+dYMH7lq5FJXIeC4FtDrRy4AY3dLfFoKw2nz2IAFM1qvWzCLFZDQGXBQg8nr3Ps/xhLIgYlFjIpwA5yywEUjohB3kg3jYaUU2gREaleDfUODr/GFBJ5dCBiiupHlAxgtp9WS26BivNedmoXEAfpFn5IdKW92fliEGdjkBIKuo2/kuUqm8Rb4w4N+GYtxHvKZSNzqEzAo5D+O+fR6P9eK0RvPxErS2iXr+NFRcX1+lVtC/gsmBHmA82hLlxVMNZSIkAJiMjA/7wB36BHMINaAJ6JwJPhqC/D+baWt2eiUS6zZGj6ISqYrYFXkIalRAKjR2JwEP9X29iieF5jr2zrhzz29ciB/lvRDFPN/vdGhUz5EPH86UtxqUtmhxdSbDVBZ4IDKqOA5eSkhLGjh5JSs0eZk3xkZVscezzNRw1tYaPzktpEMC0zrD5Rf+GpYOO43DNjAD3fh7kjnFezurj5ell1aR7IfMAS2OvC1qkWWwqddhaHuWdDQ7e5CSsEwbTuiNQDdUB9QbK9EJxkkDKWgfaOho/N6Lnj0dF3zKAKkehoXGWSt+XotWuC5jlgB1R+Owtl7QqoAaMmxHYtPXTXIfCAkPM/+vbdiTM/NP+T/M7mcPBlco/GD2J44C/uC5QKSqE6rD2GUvZTkXj2PIg9hkz26NwTyJQ8WXvXZAx0SoQ0FyJxjIZLWSG8d27LX9bK0RA5EO0EMlGzOp1SHwLuiZrzHYb0XHuRKClknivpTykYRnJfy+k1Wg/LWsELz9Ra8W3zzgKBoNUV9eQk8Je4Y6YzdsW5ugXAtQEIqzcAy/sI426RZreKy0pYSJa/cVi6lsj8FEQHvFCVztOBd+MJvlCtOqdgbIMMlDs+x5Eb/8BMQT7slEoLr7WUVfemBUgh7QZiXxvR52tB6CV9WdRTZQlCORcaCusAXogbrKgQwpEK6GoOl7Z1+/3U1FZSec0SPdZpHkt3j8n5YAApiFLBC5JKWk8/XWA11dXs6VMdVy6Nt2/+/G4LD46N5Ujp1Yz9ukaHLeX4e9/QLchQ5lVDeUWpKfCJDe0NVk+BQ7Mt2CGJTBoISaqraX7KcuBx4GXLAGT+5D26GVgiQPukDKHnrX1uWM+CyB2xUKO/AbUXDEXZTrVv2uq0e9czfc3ATVUKt9BDF976pbKP5A5Tl1BbUkBFO2EKn9doBLLuDoUoGLZDQhqm6nE/v4sMW250PxuL5RZ80OnLe/LHDTWs8yrAt1Hx6NnMydhu3UIsGxA17zYfLcUXZPWCOwchkLIrf5L59BoP11rFOz+hO02BAS+jS1btowjxo2lbUoNM88RixCzGHBpOWwEd156OVPOO4+TGqgD8/TSIL98x8/FF13MY48/jmXb3IRSGwuiMDcAV3ihf72JeRViRC5AdRxuQhPWTESvH4Uo/BrklFKIMzSdkF4gZsWOhKN3WuCxRDk/ggDMKERV70A1Wq5FzMuimVC9QRNkW2DoCfBYnn73XhRqql0DK0wHzIuGqUcQwOLFi5lwxDg6p/n56BwfmUkWVUGHY5+vYVlh5KAATCJw6X7nA5SOHU7xuGGkWGFmnd9wHZd9WWmtwkcra5LJ+PgzMrv0I2RDJAUucmtMmiMgERPKpgLXGNHzKsRAHeFo7CYDfWwV+DsRpbjvcSAnALke+L1LVL6DaubkoLAEKHRxIwIubRBgHFTveKOozswZ1A0DHqw5xEvlb0ZguH6p/A7ULZV/IAvVmAq1BqjszofK6r2BSqyOyqGwGklN9xbU2geIfewvbbk3/5205X1ZBN0zH6NnOIDG+ziUIRRjSWLAZi7Sr3kQuNmIgIsXsStZCFgegarfNupYft7WWKTuZwJe7kUr42+TceQAty1bxt/HjaVzSg0fGwAzb1uYY14I0GzYCM6f/h63pKby9ttvc8bEiXUATH3gYttae36EytHfF4D7PTB8H378BrQCq0QTsx9NYHNRyuxqNNFFkNNNN8dcgFbuSagQXWck3F0CZBgGYQvSWySyNn9CjNClwBsz4PBNmkS7AMNOgktbCbx0wTir7TB7g757ah/omBPf16JFixk7fhzdMvx8nABgDnuymp1VUXZdnY53P8X+XlkZYtJrtfS44Sa6X/17PjxqAp5VS/nk3KRDAi4xK611GP98gNVVyXR4fzZFh/UjzVLI7STLpJCawwmjWi+nozCDg6rn3uhAviWH4kM6pEdRCf9OAdWB6eKSkwqj7KvexKs8+4kDl8PQSvryBo71GfPZEQdxXrXEQz5b2LtUfgcEPvedRL63RQJQYzJ/SgpgVz5UlumeiqB7Mpb1c6hAxdskHvZJzVVNFfdBKGNjacuxMFBi2nJP/jtpy/uzAHq+PkRgykH3zrEInCae4jb0DK9GY+lHbMse83kuei7bokXOIBrp/0aLW2O20c/EYqLdQ83UCCHnc3i/fsyZ9Snjx41l/PM13DbKxeQ3grTrN4LLpr9HSapg0cknn8yrr73G6RMncvYbAY7uZHPJ9L2BC0BfB04NwnEecDVwdzlI61CBVrZbgKuQU3SZ8wFlB4EcSmxiX4PATjO0+lyPhME1QL6jyTDbivc8SbSbkXbjPuCIiBgDD1odLrcVa78MTc7rgIEJiLCoWuAl5mTezh3IYU/MYt6l4zjqeTEwb60JsaYoyqWDPPsFLgAj2rhom+1h+/NPs3v+HKLLlvDJBcn7BC4bS6L8clqAPwx1c1K3huvAfHKOj1HP1LDphLHcu2U7SWlppKPsrfscaOZI37HDkg6huzlEC4GCYywBu0fR9fk1YEWhbwiO88IeW84qgFKbx6GVNshB3WTGbgISa17QwHnMI57GnmgxpiHGpsRK5ScTL5U/iL1L5R/IomGo3RUHKoX5UFGkSsD1gUpzDg2ouFPqApXUPPCkHfh7sO+05d78MN2Wv41VorpNH6JjdaOw6/WoEGXio52PAMsKBHzD5juF5v8tkXC4KQrjjuS7l3hotEZrBC8/Yfs24KUaOfCjkWjW6dePc2Z9ynPjxnLSS2V0HDia0+95jzbeVFYnfO/kk0/mttde488TJ/LaqiADLr6YO+sBl0oH/haAYS441q2JL7F6bj7SlnRGYYV/I+faL2GbM1BYoR9yVC7EsHREDnM+0sesRJN8ZyDNghbAPEcrO8fSCr8M0dPt0So+G02oyabCnwvpXrrY8aJ/TREjk5Mwu26ullNdAfhKoGI3HN5jIJ2nzeLZk8cx+F/VbCqOcPFAD48cf+Cldl6GzZzzfIyaWsjOZRWEQ1FmbAw3CF42lkQZMzVAsd/m9Ff9vDax4TTq5bsibCqN0n7kANJTUsgFjrA0nrUWzHfE1O1CadDDHH3udQQqbrRU2XY7UOhA+wiMiIDthVsthSwCjj6/BOhnUEQA+LMZmyPQhHI+e6fibkbX7bdm2y3mVYyucyt0nQ5DmUmH2uXXiYK/KA5UduZD+S6oiciBuomHfg4VqNhepSWn5EJaLqTkgS9z/4LaRPsxpS3vz3ajDKGPkIg2BQmAf4mYlsTT3YUAy3Li12oHYkb9aHHQGwHQQSgs3PyHPoFG+1lZI3j5CVtblOlxsFaCgMt5xFOsPwJG9+vHxbPn8PSzz5N6wk14klPJr4JglibaGDy55uSTWfHuu/RZvJizrrmGJ22b69Ck5nfg7gAMcsGxHukhctGk3RFVXF2DVmEb0aR2FwIjieAlFTmwWahqph/1MJmPVujDEIuSGCqoAdZamkhvQaGPbJRh1BFlJK1BgmAvMD8qEOcgB7LW1krTIQ5eAl4odqvTcmG1xmxQFfw7HwrTIZAD7q9rCdXUsikY4aKBHh5roI7Lvqxdps3c83yMnlpDUWYG182sAOIZXCDgMnpqgNScNsyfOYur//B7Jr72xl4AZvaWMMe+GOCwkaMZP2062HYdR5GMmhSeghiR5UhrdIu5Pkcj4e1rjtKg/VH4YxTO9sJfLOkb1jvaPhkJoIc7ckivACssraiHIjDdDbELBQigrEb1XIYj8NoehXyG0XCp/AOZ40CwzACVfCgogPKdUB0UUHERZ1QOtUqv5YKUFnX7/iTnSGh7sJaYthwrHdANMRb/i7TlfVmMSZyHnrcypDkbY17tqHttihBgWYoAiwctBvIRk5qFdCtJ5t9xxNOiG63Rvm9rBC8/YWuJVkgHY9tRSOAK4hUpd6KV1s2A3acPN914HS+uC1MErKiFAVlaJfc127uBo486ik59+9IqFKKbz8fHwFgH7gmql87Zbk1WPsS6/Md8rwUCGX2QE5uNdBd/RSu+RGc7AeklvkQhrsNRGGNfdHoKorT7ASc62rapATO3Iic20vz+KcAbUTEGrc1v19oKP+UisDYdI3RNg+wy8NRAtBZ+Ww47m0ELB5os/4zXjxhHNBhqsHJuokWiDi5778/aZYqBGTu1lt31AMzGkigjpwYoyWnDkbPmMqt5Lt3/8SLtas7i9Nfe4HUDYGLAZcjI0bw3bTr3pqRQ6tQdzxXmOl+DgOhgC3o5cIsDv7dUfv0PiFlxonBhFA73qMjfUQjwzbIEcJoBix2B0bNRiKiro3vxIWCYpTGPlW5vgxz5E8iBfxsLVdUFKiUFUFOzN1DJ4RAnNAuScuoJapsfWFBb32JpyysQ+5CE2NDh/O/SlvdlUXQ95qB7ogbdK8ej421Zb/sS1PxwMboPYuUFtpnPUhEYTUXP+Bj0LDY6lkb7oa3xHvsJm41WTweyVWjl+0fi4r8ISlf9ldnPpk2bGDt6JGFsJj88j60t2/OrMMxzx8ELQMacOUw49hgG9unDex/N4B/pGcwPClhc4olT6UcjYLID0ce9kaYihIrBxep7TEKr98tRhc05aFLsgSbVhrQT+xwPSyu+6Y4q6y63xBYMRILB2SiLZlQ0nsHRFAlR56Fmjidj6p0ApamwwYZNTeH+Gkh1QTAFFi7/jNKjJhANhjiig2ufwMVxHK77OMC/loR49+zkfRay++hsLz0frSC3c2eum7mBohqH51c71OS04ZJZc5nbIpcva8CV7CHpuRfJvPgsJr72Bn8aGeWvn4cZNHI070+bTnKKyq0WExcr70Cg40biDFrUgX+g3lBdzRi1jUJ5BE63YbcHfuOInRrvqLT/7UALS/urtOQAHQyz4ejzDih0eDyqBeO2xLScysEDl7BfgtrSfNhhgEp1eV2gksK363vkzayrUUltqZo+h2qxtOUVKHySgRi8o/nfpS3vz4LAMsSuLEXPfmukKxvG3q0NyhHT+RXx2jXV6JyLzXtt0bOWikDPMBp1LI3237VG8PITtxQ0sexr4ohpRG4w28bsdZSF0oI4cEkKFBN1HJ65bCRd35wHKe0pzNFk5wLmzJnDeccew4CmYVYtX8xxRx3J0dNnMD89g2legQcQCHkWZRkMRUzPZPO7j6LaIsnI+dWgSXUj8WZ2zc1nt6KJtMlBjoUfaG4plfoypPGI9VmKTby/Rw0Ld5rj22XBBpd+z4VWmEWoAOCOdpBRBMklUGPBniQILvmMquOPZHiLCB0y3Dz/dZiXVoQ5u0/d5XpiOnTnbHufdWACYYcrPwphuT3kPPwIxfPnc+9tt+Lr3JEBM+ay0pVL1z1QkQZjM6DQ42HZCy+y+ZyzuOW112k5fhwj3p7OO0kp5DlypHsQcCgDHkP1VBJ99LOIAWtuwTEmTJQchYddcKStVfXfjB7mFbTPkx1o4kAfSw47ABxnKQX9I0tj3wz4wFFo0kY9qFqiRn8NefRoCGp2xYFKUT7UFAvguohrVJpy6KEWd+reFWo938K7xsTEK9A9VIZAb2/EHP4v05b3Z1WY6snoPgeFcC5DGpT6Q1GJUp+/QNcuE12Hteh5iKJnKRYGGoDChjk0WqP9b6wxVfonbq8gR9SQaHc6mriuoC5K3YDAyzXA5gTgMus8Lw4w5tkAu3zNufu5eTQf157uQNmcORx37DEc3jLCtMk+Vu6OMuH5AE36DOSuj2bQpEkG41CYaBUCHH2RA1qGHOgSpAEYgViQzUh70xlNnL+rd/yrUYz9koMci+VIA+R3oNyB6y31QfoXAi5rkQ4jbZEqxVZbYDlwYj9Y4otT5LGJOlQJoV1gR8GTBCND23mmX3f654T56GwfyR646B0/zywLMfXU5G8ATCJwefCYJC4Y4GmwDkwg7HDaK35mboW335nG/UcfTQfgg3em4+tzGMWtmtOsGjxeSEkRq3WnBe8AaQE/Ja++Su+JE9mclEwIdbrehQDfhcDnFvzW76ery8brVZXfmY7GYaC5JuVRaBeFvm7oaEkDMdtcu1KUCZaDHPc8RxqpEgRkLkPfWYAK+8WceDUKw/3L0QrfBrpHYFQRtC2AQgNUqvZAOFIXqKRw6EDF5YOUVnXBirfJwQtqEy2mA1mJ7uNqJCaONTD8X6ct78+K0LWYhe5zNwJZ4xATVr/OczUCKwvM303NPtYjABxE4LMdWsB0Qjq0Dvw4AVuj/fStsc7Lzwi8fIFWg0cnvOeg1TVo1Zs40QQRo3ENUFwPuMTaBOyoiDLq2QAV7ua8/dk8Xs/fxpMJwCVWlfer/AhHPh+gZ9+BdP1oBoGMDNJRtsgE83s3oTDC5wiI9EKT4Bgkpo0d2z9Q24D6HWLvAc5B+on9WRiFnhzgBGClo5RfP5BsxUMOXYGBb0P6LqXMLrLg6/Oh2CfAFUHsSx6QUwEluyCrAvKSoLJ1ObMHDySraDuzz/PROdsm6jh1AMxZvd3fAJc2mS6WX5rSYCG7AS1dnPZyDR9tgenT36X10UdzsgN3V8HvIjCiGtIy4HfJ8KBb2UItkXNfW11D9UnHU718OXd+8inH9ulDBvAfCzY6YrHcQJsd+bw9bhRun48bZs4mtXlz5qHquO85Wp33cqClDb+25JReRGClCDXB9CSM711mbKLAAEd6ocVmH12AIRYMNp/fXwrnF0B+PqzLh8pCCId0vWP6lBYceqaN5TKl9BOASlLOtwMqsfPahMBKLG25HbpPe/DjSFvelzkojDcfAc5SpEkZjJ6vnuytt4kJ4D9HzEoLBHbXoGtejQmlouvY1OyrfwP7arRG+76tEbz8jMBLAfAucLH5Oww8jNiMExrY/p+I8s3ZvJkxo0bsBVxitqMiyuhnAtT6cigtL2NEPeASs6/yI0x4PoCn70AGz/iYV9PTv5nwd6MQwi40wT6CQE1DfiYfaTN+38D5PY/0OhGzzwLz2mn+DqH4fDHqo+JG2pm3HHWkPnPTRso9HqJt2zIfyHsJSmthUxvYlg2L+0C2B1xLltC/fXuKsrKoqYU+W2F3CVQ0g1Qv5LaDY3fu5IrRI7H2AWCO7ezm3fVhOl14NTte+yd90v3MSKzE+1wNS3dFGNjKxWf58Pr0dzn56KM5KgTRcnBCsNsL56fD8V45pAXIIc0HptbUUHT8cVR9Po+2TWx2hNO44JPZePv0YS1aaS+3oGd+Pk+NGYmvJJ9QFAJ5HWn2yRw8zZtTDkSjcIEDETfcbsnpvYPAcB5iVWJ3RBilr69AAO/vCIA8gwBQqFJiWnc+WPng7IRsvxx/E+KCWtD5lCCQAAofZqNMlb2co6XS+XVK6bcA+zt40f2lLXfnx5O2vC9zEHM2D90X1ShMOsK8GsruCaIQ0mcIvOShcO0KdC1KUWiwOwKrbuI6lkMpANhojfZdrbFI3c/IWhLvcVSLwMJ4NPnUt6XIEQ0BbnnmGbbn7+SVickNNmZsnWEz53wf46cW06sVvDNpb+ACMCTPxRWDbP4y70uGzpzJm6ecQhbqJpyNsnseRFkXbvZNN+eZzzcjB5IIUOYhHUYL4qXu85BD96AslytQdswiBGhaIFbg0s8XcNwxE3A8XsbP+pTSvn3J6AL+ELTaA83LobcLVr/wAqXnnUewa2cufn8Oz6e1YGkm9ApDhwI5+3taQ1KrVgybM4+xo0cybup2ZhkAM6adzVNL4d31Ybrd/AAn/Pq3vPKrs1h3xDiOft7Ph+f4aOKDIXk283dE+Cwfjpj+Ll9NOJoXS6UTmlADi5rBzT5YbdK356JMIDfwbk0NO44/jvDn8/jgLB+9mrs44rlq/jN+DId/OpvtvfuwDgjtyGfe2JGkl+YzZ4qPYMRh9NRNFI4fTbNZc7CbNmcysNoNnRy4yRG4mGdJx3FpQggojHQtqxAY+Wst+HfCnHyV0W9dAJHKeAG5mKAzVhG5DIFLkINsbl4h4o4zdq1dWdAyF7rmQrM8hYJc9WMdh2g1KPy4inixtR9j2vL+LIRCorE05RB6to5Gz3l9tjL2ncUIsFQhNqkJeo5iLIsPAZa+CEwORO009tdPrNEa7cdijczL/wO7DfXjuQ+BhJ4NbFOJaP+bETiorq7mhOOPZeGC+bx/to+RbRvGseGog8sCax+8/H+WBLlomp/jLrmUwY8+ype2zaWoYq4HpWj/FmWjvGyONUrDDEoFmqRPJ96HpxWaZB9ExdASj2KROafWSGDooLh+rBrr8wsW8OhRExiYHaImDKtqU8mY9SkT9/SlNAP8Pn0nY/kLvHD+uZze3c3cHVDbogN9X5lDpyYtaB6G6A4dx3mDoXm6Mmqe2baTG48YSWrxdn43yOb6TwKkn3UBHS+8kQFdOrGpNXxtwUmLF/PSEePok+ZnRB7c/0WQW++5h9JJk5mU1Zo3yuDtNMgOwYRMeNyjIm+LzXn9EYW6Xqqp4Y7jjyP/83l8eJaPUe10vUpqHY54LsA2fyqHfzqb2qxslo8ZSUppPrPP89ExS8B0TVGE0VODVOV25LRP5lDbsjnNgDwL2jhixUYCmSac1BHoGob5hbC7AFLzoVcBWCW6BuUozBSrnQNxnUQuYgRKzb8uxOLEhLhNgKZp0NQIaUN5sDQXFiTrHohlMQ3FZMMcQkioftpyrNtyb3O8h1Cu5X9q1ej+jvUGiqJ7cAwal4aEsmGkL5uLQGNHxFZ+jYDibnT+ndA1qjTbjEfpzo3WaP9rawwb/czAy81osruSeHZNojkI2JxI3ZTVgwUw+7IYcDnskku5+9FHGWrb1CD9yp/QZHkrWtHNMt9phibOFtQFKLGqp48g4NOh3m+9arbti1aTryHndB1yuk8gjUs/s/2uBQuYaoDLR2f7CEbgiOcDrK5NZfiTn5LZsS+9CmHDRy/wygPncl5fD/8+0ceGkihjpgbxt+jAlNlzKKUF/dbIYY/vDhtz4OUQhFxweNFO/jl2JFs2bKLr5F/i/seTZPttHmkOv0vRsawBxi5ezB1HjKO6rIJj//EPUn9zJU0qwFUBVSmwKh0e98HTllbEh6HCcEOR41pdU8Om448jUg+4xCwGYNb4U8lokkFSWQGzEoBLzNYURRgzNYid15GjP5lDi+bNCaFwUa8o9NoD2QWQmQ+RAqjYA6Gozr2FuXZZiOnLpG4WWJV5v3MD94k/CXbnwo5csHLB0wqK05Vy3RvVnemGstV2I+f7lSMm0TG/NQSxDE3rAZki4mAlMW25Fz/OtOX9WQnSo8xB97aFQMVodE80pL+JgZN5aCxiYaMVaCz3IFDT1nxWgVibsehZ+qmAuUb7eVgjePkZgZc1KA36j2iV2pDNRpPhOQ189m0BTAy49LjkUp569FF22fY3DMom5MzSkFM6EmU3/QKBkBv2s9/dKPxzbcJ7tcih3WX2FUZO9JeIRn8apYOfYL6/fMEC1h81gSHZIT4820eaVy6sxDQw3FSRyqn3fsraPSv48qZzOb+fh3+d6PumkNxaw1Jk5HbgL9PmMHt7C1IcOd+aDjDCAxebfkhn7txJ4O0ZlB93LlbIxtsMJmeogm0SWiHfA9yxejW5a9cTHH8Sz0ehaQiS02BVEgQsldb/EAGejYip6oeu21MvvcTUs87i9nE+/jS64cL5JbUORzwfoKjGqcO41LcXvw5x9hu1HHX9HZw5+Ua+yIc2+ZC9CyJhbeM2Yx5FrEp3xH5VIWdYhcBmunnZ6Jp3ATyeBEGtefmaxgW1O5FWYxmQ5JjihY7ChXkIyAwEUi2xcvOAJY4YnShxMOMCIlY8bbk3h9776Mdg+Ug8+xkKucWq8Y5G49CQBsdBmp25aDy7oOuzyvxdghYzLdC41Jj9jkAFH3/sup5G+/laI3j5mYCXWOO00UiId0wD2xQBD6CQy75gSQzAfLVgPjPO8TGszf4BzDNLg1zwjp/Bl1xKv0cfpY9tM5I4g2KjbCYvKgoHWgkuQXT2KTTMEMXsMUSPlyPnFUAsRBUqJNfN/EYxEiJWo1V/TyC6cCHzxo9lQHaIDxKAS8xiLMX6Mh+1tVVMqQdcYra2KMLop2vwtuxA/799ibdJU1rnwI394tVr362o4IITT8BrpXLCX9+gJD2Zmu7gN72SbkFAqxCYUwvVVTAvFTpFoG8ybHGLLRiGHM5HaIWcilKUHeTkrwqFOOfMM5g+bRpvnOnjhK4NKzVCEYdQlAa1SQALCyJMmBqgWbMBXH3Ox1QlZeBCQDAJsRbpqKR/GQIMKcQLIfrMe73Me5U2FDWDhbnQrhX0ag29m0Fr18Fl/5Sge3gRSllvb95f45haIpY0XcUo7XsNyhDLQbqMNCQ+HwG0+omgFgcJhT9H516Dwqt9EYPYh4af05hQdy7SrcQKxK1Fqd0V6HnJQJlBNgoLDULzQ9YPdD6N1mjfpzUKdn8G9gFaaV2PAMq0BrZxUFG4y9j/hU5NTeXa627g2GOP5ZWV4QOCl6eWR/AkJfGHa66hg23zPnIiMf8Ro/tD5uVBDu9lpOd4C2l06lsEaV5KkU7mSpRF5UFhlIeICw03oXo1A1FK62ak93nmvfeoqazm10cm7wVcALKTLWae6+OUl4P0zPHwyHF7AxeArk1tTuvu5vFFm+i2ehbNh0+kY00cuJRVVHDuUUcSXb6YyojDzCtO4Kjp05lpJxNBrMmXwK4IPBuBLtVgeeAcG25Ohs2W2Kh5qL7NdYhRuBOtniuBl9DK+T6Ph1NeeZWlZ57Baa9M440zaRDAeFwWnn1k4sSAS8ucAfz9nI/ZnZSBDwE+C12ncjP+tcj5dUFsRhQBxxXZUJILi3KhNg/yWkKtR4UF2yM24DUHdjjQ3IFeJizUjobBTDZqTHgsUGXqxXyAOl9bjq5v1NG9O9SBMyzdR/mWnPgqR+BuCep31A8BmdY/MiATRuD9M3S8IQQWB6NQWP2mhzFz0BjMRfd3J+KpzV+ga1KMnocBCLjsRoBvHALCjdZo/1+tkXn5iZmDUoeDqHS+hZzLnaimSqK9jSb+4w+wzzmmAN1hLSNMbyAdur7tqIgy+tkAxSnNGT5nHlvbt6cLWhFnoLDHYLRqL0OApSkK8QSRs7kMrQYdtKKejcIEfdFK8WW0styJgMpC5NzDyLE2Q6vPFsQbAGYByaEQX0yexOK33+a1M3yc1O3Q80kcx+GmWQHunBskI8kmo0UHzr13LsVNW3HfKHBqKuh/1JEULV/MzHN8VIccjn0xgG/UGMLTpjM6OZk2DhxTCR+Uw+fJcJob/BlwVwIrk46AWjskSL7KjM8QVGDweiQ4DSJW5oNQiE/PPIN1B2Bg6lsMuLTKGcCN535MSVIGEeLXK1Ygbgcm9RnomAHBXNiWCxV5UNMKUpKV+eQ4Yg8eQyGdqDmXwZYyYIY6UGqZqrSOmIJsoLcBHx2QviWWtrwCA1SQg+6KGInFiJ3p5Qg07nAEkLLMbw0Cii0BwHWOAEEUMXW9EZDZF3D6oa0WMUrzETvioLE+HDFt7dg3YNmCAMs6NB4t0TOwFjGsu9Az0BuF2grR+I4z7/3IsFujNdpBW2PY6P8peAkjJqUd6sGTaLch4W7MtqFCdTey/8ls1qw5nHC8CtBNP+vAwCVmOyqijH02QDilOX+fM4/t7dvTBwlzl6NJN4ScTVcENhw0KfdAsf7myFn2QBkPbVFa60LkSBcg1qUKFds7ATnMT5DexUYT/CrUQLAvcoL+UIhPJk/is28BYBKByz1H+jilu4cxzwYINGnL0KfmEu2VyvKTj6R8+WI+OcfHkDxRHZ+aBonNRo1h5BvTKSKZLqVQ6IGLsuGJJGlfuiCBrAddy+sQIMhGNXjuQ2DiWuTsYvYShvoPhbjuzDNYMW0ab53p4/gDAJhFBRGOMMDlvnM/ptiEilqgsEsNUJ2sbJ8tuVCYB0fkwoh0CTyziAuvRyHQYiOwUohAs+XI4b6PqvButiDDkaM+0hIr4EfXdZYjgakfhXoOR063u9Vw2nKMtfgc3RPdUCPIImCRI6DSD4GZEEr33uTo+GKMUQ/iHcZ/SCBTRrwD+g50v+cgsDIMjfm+bDt6Nlaj56CdeW8FOq+daCw6ozEoQs/1SDSG3zGjvNEa7UdhjeDl/yF48SPHNgZNWPXtPtT4MA1Ncreggm/7KmceicIzb8zh1+cdw7BWhwZcYpYIYI6fM4/b27fn70hf40Er6w1IaDve/H8mmowDSEDcyry/GjnJmNgwxZxzFwTUliPmZpD57tdIBzMEiYD7IPByBGJ5QqEQZ02exDuHAGDqA5erh0scu6FETFOoSVtSmmZTumYJMxOAS8w+3RLmuBcDuIaNYdjU6UxpkkxZOkywBFL+gxzawyhc8ARyOnnmvC9H1+0/5tzXIxarADFTZyPHtXjLFv7YrRuj8xxmTtl/GbFLptXy5OIQd18wj1btRpDpgUgrGGQKv6Xkwr+zYJ3JdPojYmE2mutSjJiNk1DGSyfEKtxq/i5AQKEf0lo0M7+7ydF1+chRY0dQSvYYI07u5sAaC1Y4+q1UxMr0tnTN3Q3cig4Cq5+bsWmHKv2GEAO0CQGUQZZCKV9asN0RYxdFLFcXBGS68v0AmZgA+QvigCIXXd/D2bvpYf3vzkX3cp45pgLiDOVuNNa5KDxahUJGMR1Lk7322GiN9tO2RvDy/wy8lKMmg2ciJ92QvUq8/8ozyMk0BHKiUVhTCM9PW8B9V45n+AGAy4cbwrRIs+jfsmExRQzAVCQ349gFX3JrXl6dmhFF5nhmIW3DQOBN81ms1PwuBFiaIIc4Hq1gQY6qM1qBJiEH1sR8J4V4fZdfIceZY16ZQDgBwEw/K4mjOu1fy3P77AA3fxqoA1xitqFEFYerQw4fNwBcYjZ1WZApb/k5/S93M+j6a7kQaXWOQ+xEPnAGAjMOAlo15tw+RyCgA/EmeG0RWLvbfPZefj6fjRlFVvEO5k7Zd1ZRzEpqHcZNDbC2JpUuz88mNLIPp4WhlxtauWG2F4pdUGJLZN2/3venIS1SHwRm1iKtzlDirR6aI0f8GQKhMaFvF8S6dEO9pj5GoZRKE+LphoBGd6SRWW8pzLQevtHj9DJp1PXlSw5iFz9H7F4OCldlAMuNFiYJGGgJGK2yYKcT1/DsRkBnBGJmDhbIOAgkLUBVnasRE9Xe7KuhpoeJFksFX27GrRfK4FqEAGsJet6z0RiDGJhuiKFqfXCH2WiN9pO0RsHu/yPbifQQl6GV5r6sLZrMQRPg+fU+dxxYvxs+3wilNbByyXwC/lom9UzaJ3CJpUOnel37TKPOS7c4sj08vqiA/DVraJ+XRwVyZF+hVfkYNDH7UchkNnJOW1CG1HVmGy9awV6Lbsw0s81GtCrthzQgNmJcVqBV/BY0qRcjYWMRcgCOx0P05FMIvfEmX+yIHBC8fLolTIqbBrfrnG2z9BIf/jC0bdIwYNhcGuWG2RFyOran2ZRzaYZCJSOQI3oSOepPzGu0OTe/Oa+u6LrlI6CwwJxHKWIXkvPzWThmFDnFO/j0IIALSKA86zwf45+rZs2UMXScNpsX+/QhYsIsroAc94ha+MSCNR7Ic0OuG6JuWGbHQ48dETi5H2krFqFruRA54Bh70gMxbzsQuNgN9LckwvYC5ZZ0T3Md3Q/vmOyiZo6+e7IllqbQgoWONF4u81lvA3aSLD0PsWdiF8pIeh+lWR+DqgevBr5woMQRGEq3dFwexFDOAqYCbR1dp16Aq97jEEEA6XPEksR0V90Qw9KP/YdtitDzsASBkn5IE/YVus6JwtthCJxvNr8zlrioutEardHi1si8/IhtHWItruLAred3ohVxPioQF1v9OQ5sKhJoKaqKbx+NRpn22KXMfvtfPHVSEuf3rzv9xoDLsRdeRM36tQ3WgXEchz/OCHDf50GOfugh2l9xBU3R6ncECgktRCzKNvNvezTpx8SLbRHbshJ4Dk3yw8x5rDLbViDHlYEYiQBylkvRxH8yWvG2QeLGKkfptk8+/wL/+cW5TDEF6BrKKkq0klqH8c9Us608yqe/SKVvi4NvorO5NMroqQGcrDzOnD2Xr1q35l7ilWu3o07L41HorDNyVtXIIR6GnHxP834b5Ei7Ig1FZn4+F44ZRfIhAJf65zbhuQDb/am8OHM2H/Xow+KQnKSFAIzPgbQwZIWgWRi+ToPRfujoEphZ6IMqN7S2VZsm1xxvL6SNiSBgEAs5FRKvFRNCGVSxInL9ERgCHcMi4GtHupEUR447asahuwUdHF3r1eYFAjE9LR1DSsKlLUPAb6H5ewgwyNGxLXQkEG+JgEwZYr7amN/bgs5rEDqGryydi0O8S/NwGm56mGil6F5eZM55MAoBfYEWF0HiwtuB6DnYav4eZbZv1LE02s/NGsNG/w/Ay1eo4eLViIE4kEVRBd27EcXvOLC9BOZvgsLyutu2bAKd8mBGcZRXb7mUZW/WBTAx4DLhkkv5x6OP0r62dq9CdonApdtDD3HaFVfQAU3aech5FCCHnIwm/AEIxPwGuAM4FwGt9sjRrTLf9SBw0guJHAMoY2pIvXOuBY5wpBNZ7IiK3xAFfxQqXniBbRcePHCJ2bcBMJtLo4yaGqA4K49hn85lU+vW39RPORw56S8RWzDbfOd45ORXI0c6AYVgJrF32OG3hYW8MHI4KQcALuuKI1QEYHBuw8ccAzAb/alMmjuP6p49uRAYHIUNEfg6DF9GFXbZaoPLhnQzOwQdCFnQuxqyw5BrQ55Hoac882rh3lurEkX3wQZzvlsRExErgpdHPNzSEgGJr1FIMd+JZ0IFHd0j6QjIdiSeSrwKgaNuKMwUY1hA4HAh8ZoqA1B4KWTeX2yAUhNL7McuBJJKEGhOR+GaMxGI2t9dVIGA5pfouA8z5/gFup8jZizC6Bh7o3MqNduO4sfdxbrRGu2Htsaw0U/cZiBW4QYOfvX1JXL6fYCCMvhsI+SX1t2mWToM6wS1bnh1G4Qdm7NufYLeTeCCp/8FQMSBi6b5ufSSS+ny6KO0tm1SU1OZ/u77nHD8sRzzwnw+OBveWhPmvs+DdHzoIa664gqS0EpzFmKJshHLcAZ16038G1H7flTfJIxWwhaqnlts/r4QZRdlIwf0N7QajRiB5xpHK/Vi4D9R6BhVX57uDjivvMALF57L+X0bLkC3P8tOtvjk/FTGP1PN2KerDwhgNpdGGTk1QFFWHt5P57KrdWvKUThjF3JMnyAdR9iwBynI6QaR456AmLNJ1t7ApRqYvWABxRs3c/EI7z6By8ICdfeuDUZ5/YyG06izky0uH2hzyfRSFn3wAXf07Ml4ABt626qO60PZQ1YUDotARUSAcL0FLS0IpoInAu4wFIdgZUDAAsRENE8AM7keMTa5LtVeGWuOwzHnuxEBlbdQ5hVI7zMagbgsS9stRp2yM4D2jiatlY6YyTACfZ3R/b/ZgfeAWkeam16WWJ4xVjxN/0UDVHoBp1hKs34P2OiIHUqxpEUagABzBHgB3V/DEdCKaXCqiAt23QisTkDP4zR0X+9AALwtMBGBnM1mv2cihrLRGq3RDs0amZcfkTmovkklcBEHH+cuQ2m4SRXQdSPsLK77eXYqDO0InZvB58XwQYF+Ky8ZzusAKa4ol116Kf/6twDMpZdcyiOPPsodtv1N7ZjVwEfV1fzj+GPJnzuPSNTh+IceYuMVVxBFAtk8RLmfiOp91D+3RchJvIdA1lwkqnSZ7dcjx/BH4pR8lQNrHXjGUXXVJOTgmgEbo7AsCgUOnO+C4S7Y+u40Jp56MlP2A1wcx+Gfi0J0zrY5omPD+D3GwORXOnx5USod9gEafvFWLc8sCzHs869IGTSYZAvW2yq6FrCkxalAgKUXCltkEhfp5iLnuxitvC2zbUx8/BqQ4jh8cdNNrPjLndx7pI8/1BMTLyyIcMTzATr1HkB+q1aUvTu9QQDz6soQZ73hp82kydw9dSqdXS5WIkfqRsxFZ3QP3ogYPz9wuwOTo1AahsUR+NJk9oRd0NyCzg50iUKrCJRFID8EhRGBNZCjb2l0NLkJ4CY7oRKvg8DeQsROxdKp2yC90Dhz3debsdqExrGPGc98YLUjhqMlCrclI83QauLNJnsaELTKkoB4M3re2iBB+SmOWJevnHhYMmIJYPRHgGMp2gZ0fUeYfX6VMJY7zW83Q6DNIs6yjWXfhekardF+ztbIvPwELQI8jpzZJA5+YnOA+wLQYROsz9dqNEY9ZyTD0A7QvSU4FrybD18YYNOzCUxsC14bwObxJ57Am5XFRtvmkb/8Bcu2KUV9gzYhZ9A7NZWr3n2f2y+5BNfYsXx58cWMQU6hCwJclUhgHAMvVchJzDN/56Nwymp087VBzqcS+KOjENJco1lZ6xhhpCVA9JIFh0dhYUTaBNuGizyQY8NWS9qBmfk7iEYduje19glcYunQbpfNG2f4OLGBNOp0L7TLtFm1J0yp39mrUWTM/jTaxwdb4Kspk8maMRd/XiuaBaBdRGEilwUhD3SOCswEXTrWjmh1H7Ugw4o7WwexBltR64e1QMiyyLn9doYAV/9FDRdiAGZhQYTxzwdo13sAyR99zL9SknnqzDM4/dVpvH5GvBJvDLhkTZrMoKlT2eJykYz0OOcSb9D3GLr/0oindU+2oI8LcIkVAaiKwroIrAzDgqj0VuVuaOKFbslwmCVhqhWB/LBeW0LwRW1CuwErLg7ONULhkW443haoiSKg8jGqYVSKmLjuCNA0R0XqZiOA2NmCEwyY2YDAzGbEXmY56vI9DSh1NMZtgBMtOBUIWxLkPmgA53BLqekljgDVHEdjU4RCUkc6+nc2MMPsywdUWBq7sUh4uwbpnUYj1qVxwm20Rvt+rJF5+RGYH3ViHo6ybg7Wymrg4d2wqQL67hYDEwLa++DwDtArV7qFYARe3gprK/W9Ec3g6Faqcppoy9HqMQWlmq5HVXxjJcoLEchqh7QrIxHjA2qm2ApledyPwiELzHdr0KSfisDJbkSrX+Sog2414IpCa0dsQw9Lr46Iyv8qIsCyx4LBLjjHBe0s+IsllsaDQmytgCrHYeef/8zDt9/O3yb4+OOIOEuRCFwm3HU3X32xgOpp7+wFYEIRhzNfq+XddWHemJR8wEq2G0qijHo2QLh5W3rOmktqbiv6RwQkP7ZhaAS6haWHCNlQFFVoIjMCJS6I2NA8Ctlmhd8OdVxebsNaW2nWwywoweHNm25izp1iYMa0dzP++QBO7wE0/ehjemVk0B1wh0I8M+kMSqZP440zfNSGYPIbfnImTebaZ6dyldvVIDheZF6XmL9fQw75xP2evSzswJYIrAnDF1FpSQotgeO2lorIjXVBHwv2GEBTEIICA2yKIvF9pdp1GZoYuPHZAgPzEKipROxVU8T6pRHXq/gS/t5phMAlqN1AU2CwI9YoiliSPQiA9LQEkDYCyyzdm1HzGwMdaXWmORLyRh1ItlSQz2VCfjHBeiYwytIzcjCatUZrtEZrFOz+pMBLOarhMhGtVA/GKvzw5WaYXwTz8+CoTVo5W16obQ9X54HbxF3KQ/DcJtjpF5tzQh4cXi91qQiBkzeIVwRdiLQ3HkxvGRSfPwzpBv6CwMXdKMTjAH9HE/VSBHwyEdhpZd5PcyDkiHXpFIXXLK1efwlstFQl2AcsiUg4ujQCbWw4zIYhLmhiq6Lrbea4b0W1Sd5CQCkDCYGjUYdr//xn7r0jDmASgUuHv95D6h+upjAYIvXsMymY9g6vGwBzqMAlZjEAU9a8Lb+cPZcxrVrxNAp1PYWc7m+Rc+vkwFwLJjjQKgprLZgSMt2VHVhowVyPxg6gYxDSotDCAXCYeedNFP/1TpK9Nkn9BpH20ccMycigHbDJgi0WRIIhSiedwa5p04g6DumTJjPo2al0d7lIMuOcjcIazRBgfdWMX5al6z8fiau/TXjDcWB3FNaFYZEJNW1EoaYWFvS15NzHuCHNgkAUdobjLE2BeZUmgJom9UTCWW4odsMa21RWRs9TPmJiQmgMMxGYPhnpWDyG2VqFGL4CINuBZlY8LXqlGaN+lpjCpQg855lruMvoY7wmVLUHMW3jHAG1zQj0HI6enSaNMaJGa7QD2o8OvDzyyCPcc889FBYW0q9fPx566CEOO+ywBrd9+umnueCCC+q85/P58Pv9B/VbPyXwUog6Pl8C+wxLJFp1AL7aAl/nQygKH3aEkdshx4FB7aB/G7jbHW8TsLMWpm6GipBWwJPaQTczJOVIYLsQrRiboeJxexBTEkYx/uswRbzMPiuQeHYSElleipiCDxGL8jnxInKjjUA1IyoR6CZL7MIkYL6lbIv1FrgdyInAggjYUehmwMpgF2TWm/TfQgCrOQpPpTkS8qaiOirpSJgZdhxW/PnPrDEApjzgcOfcIMf89R7+cPXVRC0Jff8VCXHq6afx6XvTeXliMlOXh/YJXIprovjDkJfRsP4lBmDSmrflqNlzWdeqFZ0QuFuKVvh9UFftWY4c5TEIOHZAxduKgRmWtCfHo2s73FEl2qUOPGpD/7DDsrvvpPjL+Xieewk7I4NufmgakTMt9sGRQdhohZjzq4sIpSQz5sFHGO1yEbLl5Gst/VuNjmOZOYY08956JDxtSRzgNDPjnk3DFXAPZFVRWJ8QaloBlNsCJd2AYTaMd0HbhOGtjsaBTEEoDmwqo/rcb0FtElR7IeQWi+W3oaml2jLdzX5WIUBRhsDMEBTa7GnOf7ajkNImdD82M9dnhw0BR89ErSWQHqvJ096SELczSsXeBrztwAYL2jm6ti2AxWa7wxCQyW4EMo3WaA3ajwq8vPzyy0yZMoXHH3+cww8/nPvvv59XX32VtWvX0rx58722f/rpp/nd737H2rVr4wdpWbRosb/OIHH7qYCXDagM/JXEOxXvy2pDsGgrLNsOIbMSXdICmkRgcjoMags+42dvQ+BlXQW8tBWCUcjwwLkdIDNZDMXnZr/ZaLL+CukJalEPoSlouz4IuMTMQWGiicjRXYQAWCtgt1mJ2o4cXxLQLapOwJ0tmGWp2mlH1HPp1KjpuByFVVE404aNLnjQJQ1IfQs7ytpYixpQliEn1BqBgzRUyGwTckzlDqQ5Dotv/TOz7rgdgLH33MPrV1/NeqSjeN0xGU5Tn+U/55+PA3hsGgQusXTo6oDDJ+f6GNCq4Qyk55YHOe9NPz3uuosF111HDWKkpiGWqBoxT3no+g804zcQoxdyJFo+GzXWzETOtBJ4z4xfa3T/VFoCihMQm7DL0bUdF9FYlTpqkJgZgR4BKIsKlIJ0IJm2XgVuqHYpLOK34UOXHK3LON1Y6MQ2/4bM9Y0Ji5tTF+A0M9fjQFVrww5sTQg1LXJgpwk1tbNgiAVjXDDQjheOc5CGZFYUPotCcVSi7mAEfEHIDEJaRGDb54FwElR5IMUWmBnoAiwB7RkY7RRiZCaa81qK9lmOGLM9jtjHHo7Ex9sRQG6GmMMspGkZYQnshRyFtl5zBFxamvusPdLd1KBrPBzIaQQyjdZo39iPCrwcfvjhDBkyhIcffhhQcbQ2bdrwm9/8huuuu26v7Z9++mmuvPJKysrKvtXv/RTAy2JUWfQP7L+uQyAMS7bB4m0QDMffL06FPZ3hviaQWi+X+u/AwCKYma+JvnkS9OgAS7yaNJsgLcZy5BDbor41E5E48yY08d+P9C5NEvY9E+lVmqGqqIuNCLKlI+DQ3JJmZ7wlx5tk6RzvB0531H9mVkQMQaUjZmWwC/5jQ1dLq2+fo6ycLQiIrEAUfyXSLJQhlsXrwIWWwFKRWfWmA7ssONqSTgQL3nQcHn/oIcpSUsi+6CJOQb9joVXy74BOkTBnn3UWr73+Gn8a5eW2cUl1xnRzaZSxUwMUZebSMiub0jVfM7MBADNvW5hjXgjgGzqcP777PtelprLejG0XBAZ/jRirE1ABu0zgduBFFIrrhZikQuBT870mCBzaCDA+iBxopgl1HIlCjh8CZ6FKs4sQwElBq/0MxAY0d6CJA0ShPApbovC6G0YH9PdMD+QExZaBtDlNLDl/t0si6ahtGA5LbETYsDhRM65h82+y+d1c9gY4OUD9ws6OA3uisDYCi8LK+NkAhFzSwaRbkGxDni3mJwNTtwUxHI4DpdG6LE1+WOEovwNlbsj3QkmSzqNXVALfqBumu8SY1KDnxoMA5pGIIdxgwHMOApOF6N5LRuOwzRGYTLEUdj0Z6GhpZ8tQqvUCINVR5lQnFEartARch6NwWqM12s/ZfjTZRsFgkEWLFnH99dd/855t20yYMIHPP/98n9+rqqqiXbt2RKNRBg4cyF/+8hd69erV4LaBQIBAIPDN3xUVFd/fCfwANhOFavZXwyUUEcuycCv4Q/H3XTZ0yYOZneBv7r1rgjgO1OyEN/ZoAo6kQ6QdVLoEWFailXQ3pGU4CTm3REsMDyXeOgscFYOLmIk7hCbyFAQWrrYkzIxZZ2CSA5ujMCQKV0Z0vGfacLgHutoCJFvRKvROR/qAxeb4UpC2oBtyfisQw5DnSKfwKCpi1suCobZCV4WW9DiPE+9tU2VZtP/tb7kKrbR/Z45vrfmNMsDtdvPCiy9Sfo7NXa+/Sv+WLk7rIeYlBlyczFxazJ7H/PQ0TpxwBEc8t7wOgIkBl5yhw5n07vvUpqaykDh70gUxLEuRiHMRcDrSwzxhjvkwc74u5AB9iJn7EGXBnIs0Px7kNM+1VKNkOEo/DwF/cyRQrbE0JpchtqYJUGD0MEuBUpfukYUojDfEI+c6DDgqSeCyLCr2piSq/5dFoSwc/7vSiWcOpVoCGF4bLBdYNoRtZVh9bSmrKmzFt48gAJqMgE2e+beZDS1tOMcjncocYLlhWHYA5RFYGhZg7m1BOxsCLsBkKGW79OptdNoOul/ejyr7qGMYsmsFRhZ64GY3RMJAGJJs3XM9HYGjdW7VhGlhKeMtz4xlJxPWsxwxM2vN9pWOzmmZpcVJxBHwOd4y180SGHvOXPOoA8MMqzbV3Iv90PXMawQyjdZo+7UfFLwUFRURiUT2Cvm0aNGCNWvWNPidbt268Z///Ie+fftSXl7Ovffey/Dhw1m5ciWtW7fea/u77rqLW2+99Qc5/u/THCSILEEZMg2pJsJRWJEvMW5NMP6+ZUGPlnB4R3g5Wc6mPiYNROGxbbCkXKvH3KZQmidtSQStUO9AAKChix4mXlvFcQRePnb0+gTpVbKMZuVwlJVxFNJxvEu8EF3Yga+j8JKp+bHLUihiikcT8kpLAuViRL0nI9q9q/n9iyzVOxngaL8vOjqelmhln27BCbZJCbc04b9ofrs1cv6TUFhrDArN1JjPErM+PAgclJq/3W43f3r+eVYDk15/lZdPhwEtXYyaGiApM5ejPp3H9rzWtLDho49nctSEIxj/3HI+OddHdcjh6BcCpAwdzoXvvs95qanUIC3TAyiUswIBp38indBUBOZmI9BwEmKp2qN743PkSLNQmO0d1OBxhBkzFxqnLy3pgJYjgFJlCbR1ctQnqRYB5nxHxeRSLV2rfsjxTkRhvVcQoBoALLGgjQXtDSjsQ8Ol8MOOwnOlCeCmNPZ3GMoc3ZeBBG43xQKvC1wG4ERsKLDFegSBIgtKDJNjmd9tYquI3mlArgORCJSYcNPrwEOWwn0dLDV6HGdDuksM1EbE6p3qksZljhu2JQlM5jiwzhxfVhhCIYl/P7QhPQxtq2BQGLxeKPNCkVvHutGCT22otnQftbekY2rn6H5ai4DSNhN6egAxmi0c3ZMnW1q87LRUU+d1dAzdHTGbU9Hz19dc7zaNQKbRGm0v+0HDRgUFBeTl5TF//nyGDRv2zfvXXHMNs2fP5osvvjjgPkKhED169OCss87i9ttv3+vzhpiXNm3a/KjCRlHktHLQarv+XBSNwupCWLAJKuvpkru2UIG57FSxCguAy81nDgqtzAjB7C3gr9GktyMXknMUgz8PgY39zX8hR6nLzztqiLfWrB4zDY1eZkBLfwR+xiOnGjuGkQ7cGVGW0IIo7La0+vbasMDWecf633RCk3InwwzEwmYljkr9n4HCOT60yj3bErtSagmwrEdONxkBwdvMPhOdawixRH9GzMO5Zl9z0XiAwkzPOlpBTzaMwB+BVuEw759zDrNff5WmqS7CTfP4ZM48rsttzWALbjMDWVpWRp8JR1C1ejmhiEPa0OEMffd9Tk5N5VQE0Eah2iCdEEg5BWXwHI7EoyvM+A1HIbtE+ycKfV2FnHasXsjvzHsfm+1uNOfeHznN9YjROxYxZHvMdmkoFbipEz//t4HexuGusQR2OiCgGAF2WArf7cQARwSu2qNrl8XBZSIFE1icsmgC2HEgPwqrbdhswlCWY2rfoEysHEsgp9p8HrVUNM5Gqf4eRyFLwmJlNrmgyDagIirglWzAUjNLYG6zOb8uKITjJ14iYAzStqwIw9yoQp3FDriD4Anq90rcEgin29DNgQ42pLqhwqXjdJvx6eiYkB9if75y9Nvllrbp4sAES1qcFHNN5yIg08xR2Clgjq+XpfukAwffAfvb2pIlS5g5cyaLFy9m1+7duF0uOnfuzKBBgzjxxBNp1qzZD3sAjfaztR9N2CgnJweXy8WuXbvqvL9r1y5atmx5UPvweDwMGDCADRs2NPi5z+fD5/M1+NmPwYKohssQ5PQTzXFg7S6BlrKaup91bAbDOqqkP4hafhWJcfORM1wElPhhyyYIhiRq7NtOBegeZN+OJda4cLX5twytiN0W1NhybJWWnFVMn3AP8awjx4FNDnwUgU+jsDUK59ui/Cs90MoSuGgHnGDJObYkXjXYcSSCXGSOYT3avocFL1gqJX+KJTZoPgoldUbszDGIiTgZOf/N5v1E86BV9lvm8xHoNxKZFzd1mZePkKOrcrsZ8vzzbPe4qVq4kHM/nslHrVvTJlq3zUFtZibjP57Jm8cdQ0pqGp++9TbHpabyDwSaDkehqwVofEcgYPl31B6hCJ3fOeZ9p9712mGudzYCEOvQNf09cAVy3gWIcTnDfL4DhdhuRuxLolUi8LPdAJIXkVbEa+l7lzkan2JU3bbAUdgj04RI2iKw4jf7mGvGzkLXtr15tW3gt70WNHfFhek7zLjkI+fcFf1GGwd6RiEnqmyiUtuAnVBd4BMyYxe1lWG00616OR5X/H7d7cAm2zArEX3HjYrVHYZCjRWWOmmPtsR6JccO2ILDPNoOBHQ2JMPCqF4ZUcgMC8xsj8ASF1SFISmq4oR9gGIP7PJAtRuCtkJSY4GzHY3Zekdg5X6knclyzP1tFg3bEQMWcQSYVqGwb5h4c8jOfL9A5qOPPuKGG//EooVf4fIm4WvREVKycZwIc5dO59HHHsPj9jBp0iTuuusvDTLhjdZo/y37QcGL1+tl0KBBzJw5k1NOOQWQYHfmzJlcccUVB7WPSCTC119/zXHHHfcDHukPY5VoBX4KouNj5jiwcQ98vgmKq+p+p222+g+1apKwPXJ6rdBKOx8xLtWVkLMFWkahqxsu7QCtU8RGxOY0x1HacgysrHW0Uu9uCSwcbWjwvyD9iQc5xj4o7DHDUX2XVcC/o7A4CjsjWh3m2NDFBb/xwKvGCZyM+hsdhSZYP3C3Iyd1syOR6Xbixej629ISvGJphRo157nWnGtT9gZhhcRTeP+MQGH9aiyjEOPSinj35kSNkBsxFGWInfgcObA/Av3cbjo/9zyvOQ63WBYeVK+lQ8KBLAE2ZGbS7LPPuRL4q2XRGjFTFyBHHkuF3mLG8koENl5ATFQT85svIsfU2+y7DN07c8w4LkVMzN/NOceehMcRIChAgCADNbqsDx5AQLSneU1FGoxhSCz8a8Ri7ED3VgiB2VaOwJNjfmMJ0tNEHTFxPYiDlWpgkaV0e78Z27bEWZpKxO7FgsWWefU1x9ER44hd7Ldds+OocOFHwDJH9W/GRYCgnP0GGyJRpdBHbAjYpmhcCJwwFHrgIxs+CouxSQFetyQCbueSbqudOfaYyDgLaV662XCOrfNb5YWlKbrvekQhNwJWEFa5VYKgxIGUWmgaUlZgtgs2emGjB2o9EiH3tsWQ2Yj5WuYI1KVHNe45jhhKv6Vwms/R+S90lMXkENfIdOfbAxm/388VV1zBv//9b5Lb9qbZaX8iudMQLLvuhYjUVlC1/GNeefst3nrnbf75+OOcddZZ3+5HG63RvqP94NWqf//733P++eczePBgDjvsMO6//36qq6u/qeUyZcoU8vLyuOuuuwC47bbbGDp0KJ07d6asrIx77rmHrVu3ctFFF/3Qh9qglZSUMGfOHBYvXkxhYSG2bdO+fXsGDRrEqFGjSEpqyFXIEd+PGgx2Mu85DmwtFmjZVU9XnJsp0NImK/5eOZoIn0ZCvwhyEnnAsSUQ3K55vpkPpnSELK9Wan7gFQe2Oip61gyBleEW/MJWVdAKpKO4GzmsMke6kP4IxESAq82qb0FEepwURyvWozww0o43p1sHPGOOawaqnFuDUpFXOVqlD0MTcIYtwepGS1T9FuRALkWT8D/NuXrQudWfj6vRCtlCN+8R5jcbgrapyOmC6s3UZ15cQIUDT1hwsXlvjdn2AsBrWaxBoaZPUDZVGOko/mzGqa1lsRkBxO7EM4uGI6ZkgHnvPgS6piPHuBtpWFwI4DxFHLx8Yc7pKATi/oFEnn3QdUtCwOZrBM7yzRj+ib0F2PVtNWJXzkMM1kgzhvUtiAS+2xDY3IEAaJIlsWwT5HQ3Ixap0DjWZpbu92bo2r6EavnEukinIIc7ATEbmQc43pjtRunHyyxdh5Eos2qBC77w6Nr1QSCtCEh2YIgDbaNi6JbbkOGCtmHwhCE/AtsisN2BPW5YYsNCl+67FJTVlGJ0OS6kFWqCdFttUfimNwLOXgs2uGGZR6DtRCT6daJKAV/p6LdSg2BVqeklCNAVe8H2qoVEOxd0tyVs3mHBFvP8epAQ2EHPrteS9seD9v+FATKDHBhpCaAebC9Sv9/PCSecyKdz5pJ99BWk9Tsaax8oyJWcQZPDTyOt31GUzXics88+m7KyMi6//PIGt2+0Rvsh7QcHL5MmTWLPnj3cfPPNFBYW0r9/fz744INvRLzbtm3DtuPy1dLSUi6++GIKCwvJyspi0KBBzJ8/n549e/7Qh1rH1q9fzx133MmLL71EKBjAm56FO6MZOA7BknzC/hoys7K55OKLuO6668jKiqOOTahg2u8QQwCwoxTmb1TH50RrkaHwULumWjnVIBbgQxQW2oqczWDgF8CpDnxWCLN3a1Jtmwb92sIHNqwOa+KutjTJnmprknUlzEXrHXjAkYizBIGAJOSUU1HPF7+jJntNjWbgcFs0eld770lxDhL19gaecNTY7iFM7x6zWg2jleJwFEqJsSYBBAISa8mcjBz5dlQbZUq967Km3vZjUZhkAnWztxaiNNcnEGioQmxPzNxIP7HZgckIeL2NAE4NYsveQ5lQSx31I3oGOTAPCkPdaMbQ+CLONMdxJ7o2fgQ2DjPnGUa6k7WIeelsvhc7rmLENF2PHKSN7qHl5v1tiE3aju4vECjIRILQ/aXdY47nOSQWnWf+bgi4gMayvXklWhiJsGOgpgABSp+lFOxiNPZlZttKA4C7WwqdtUOOtgx4xtK/Fgp3tSMeevKhsZ2HwoZZCLAcafY/DY17LJSVj8Z8CAKeuy1YYEGtre/8ASOSr5fiFxMdF0ZgZQiWhcV0bbb1nhtIiQq8R4DdNixyq81D2FbPsCjKJEqzFP7ZZakLtt9WS4PDgL4eCCXD8gyJp5tExMq4g7A7ADurxWhVoe818UGaR+Gncpd+pwUavDJHwLDGUk2kno7u30VooWChmj3jLSO23g+QufLKK/l0zlxyTv8zSe367nvDBHMlpZF9wh+wkjP49a9/TY8ePRg7duxBfbfRGu37ssb2APXMcRwefPBBrrn2OqzkDJL7HUdqzzG40nO+WZE4TpRQ0Taqls+gdsUMsptk8MzTT3HMMcewDGUPXI3o6sJygZZtJXV/JztVTEvnZhCyRKm/hTQehWabvghQ3Ikm9VAUntsGX5VpkiMTsvK0Wov1A2qOysvvdgQWNiCG4wP0GxVoEo85g9ORg/5bFAZE1ENolQUtXXCnS5ka9RdixYZRedqREwuhjIv1qOR7itm+LYrjd0WC1N8jvccjZnxOpGFdzl1o9fgsCrEkKpqmIhanc8J7c5ATPCnhvdsRm/KwOdeWSOMRY8FqUEhvhqN6KgFL4/wGKuMPYg16ofDCCgfesjXuZ5tzPhWxH27kwJ4y51OK2JRR6LotRWG3I8053WOON5FLXIGA3S7grwiM5CE25x3E4P0HpbhfaM5/BnLWt6Aww4HsEXNM6Wgcb+C7r17KEFP0JQLOfvNvyBxTLmJq0hC4CCFGsdhoP1pZOs9UNIbbgc8sgfYUpB0aQby4Xw0CeyVokQACs+PM9z9DoHg4uk8a5kUPbFFHepZVEZgfUU2j7ZaYmBZRXdcOUT3jZY5aIRQicXuVLdAUdolFCRoQFbWEnVo4ejYyLYmPs9HipEdEoa3EOjW7IhLUV9uw26caNdUujWdLxBDtQBlaFsoy64VYnSL07PZB1Zr7W3UrI3/yySccccQRZB95OekDjz/kMXKcKEUv3UiOVcmqlStITa1fvKHRGu3Q7EdVpO6/bd8FvDiOw1VXXcUDDzxA+qATyRx9PrZ3/9NfuKKI0g8fwr9lCdc98wxp557L74HKSpi/CTbtqbt9Zgp0SMpn+9q5fLRkMUtLStjp8RDq0oXUwYMZO3w4l7vdjADecuQcWjqw3FTZjVZrhTe6JUxsrjBMraOJfBFypitQaKMVchS70aqxJao5MQWldS6NxHsIbbPhKltl+c+3FfLoikIB+QisxLr0+lDKc5qlTJS+lradZ37j79SVLYRRS4EVSF/RBzno32JWk/VsuXnNQYDjlwmf3UY8w+ab64bYlz+ZY9uImKVjkYMPoIn8koTfCyDw1M1RNs/zhk1YjkJXSxCT4kNZWLHS/Heb47oCgbXXzbksJ96WoQQBKT8CoAGUybMEpc3egCqyJq5zHbPNTAR8+qDQzt/N+b6OQlAPE+8+vQABmwNVaAYB2GUojfwu4FrqFiA8FNtpfnsZurY+xAA1Q9drAHHQ4CAwtz3htce8n+oISIUQo7YOMSFtkaMNmffKkNMtMt/1IEbxKOSov0YOfCAa14MBct/GiqOwPgxfRJQ5tA4xMC3N8Y6yYbCtZy2WUVXixIXGhQ7scGC9Dbs9UGkLcLkBLAEdy5Jepw3QxxF4zXMgKQzVYdhjCu+td2C7D/Z4TIVpy4SDXVBiQk85jsYpyVwDL1rgnIqqF48fPZrFm/fQ7Jy/YVl2Q6d8QAuV5LPzX5fz2GOPcumll37nMW60n7c1gpdvCV4eeOABrrzySrKP+hXpAw5eIOxEI5R8+DDVKz/hnfc/xdVqJOt2yfHHLD0Jksu+5Ikn7mDOe+9CNIorqwWu1EyscJhwyQ4iwQA5uXkc+atf0+x3V/F5cpLqRwRh7RYIBURVt20Ne7JM6XK04spCq/E+aMV6syXn6SAneQmikldG4MsIrIkqpHOYCwa44DFLTvI9R+m9FxqwshM5yxQzudYiYWQX5ERuRk4L5GBXIjanF5qYZ6OsipEoHHab2XYP0gRdy941a2Jg5HIEID5BE28YCYtvZm+bj1iLU5HDPxuBto1oVT4JdUkOIBD1CgJbnRxVu/3aMEdtiTNEv0Xg75qo/u1kC5gEUKjpduR8/43CGLFuzI8hhqXY/K5l9tvE7HexGYtvslvQbw9HK+QIEuPeg9ijZua3PMhhNjNjkYKA04GsHIHHPyG26RwU1jtYc9A4fo7Yj5geKYB0UsNQ2PBQWJxqdF0/RixBDnEnu8OJV4MOIWDid6Q7GYhq+Wwxr2RL4CELgfUOxAW3+yoC+X2Z34FNYYH/+UZbU2qpInFPS/qwcbZ6NSWyl44jAXipAzuiSsdejuq+OFEIRxSe2mWLEQSxf27DnMQqF2dF1frBjor92WMZbVpE12yPD8rdem49iK3JtnR/RVevZmmfnuScdC2pPUZ9p3EoevMOOiTV8vWypd9pP43WaI3g5VuAl/Xr19O7T198vY8ke8KhryCcaIQ9L15HciTItf9cjjdJ0skUL7RoHeL2x/7Eor/fizunLRkDTiCl6zBcKU3qfD9YuIGq5R9Ss3IWaR07cu3U56jqMZjlW6E2DI4bUtpDp1QBkoFIS5CMEemi0MAONEH9FjghKvr7q6hKwfc3gKW/S4DE78gpveBAhiOmIhdVL7UsTXjtDVixUWgrDYVfJlG32N4uJC4OI+3HNET7H4MmzyeRxiLmOLegUMv17E3vf4wm4K+QePQWpBVZhIDJXuOPQM0lKNzzRxQO2oOc4DWImu+PwhTzEfDoYNgkj6V/W5uxuwppSRzgxKgcy2OWGlWOQyGCZaiOTCfkgI9CzncoYiOuN7/jR9qcLOSM/4p0GRebY4+1EDgThYbeQwzMYKSX+MiMx9coRBIy3/8KCZ33Zw7xflSz0HUcfYDvgK7hSsSwbCV+fYIIJA9DbNt+5BR7WS0KL31ujmsoOr9diM1ah+69MLrOu83/myHGrMzRuKcikJKOash4UPgp1RxPEOlOgua42xHX07Q8xGM+FIsaMLIyLJH7YkeNHT2WarYMBsaaZ29fjS13o/tqKdIL5Tjgiur9TSitOiMskFOI7ssSE5YKmjBUGP3rcVRsLyWojKVKr8CQywL/449S8/vf0vbKV7Hc3w3mVa2cRfH0+ygpKamj/Wu0RjtU+9HUefkp2W233Y6VnEHm6PO/1fct20XWMb9j539+zZcfPsXQib9mRTeYnRUi/8yJhN59l8xR55Fx2Gl7pSDGvu/L7YYvtxvpg06m+P37uXnMGMY+NJ2ug8fR3gcXdoSm9Ura7EBsxHvI6R7mwB8dmB6B3RF4yFH/oJPdSs2sQYzKSw6siMrZ1lhanVfZcLgBKmcSF42CGJT3kdM5DgGn+tYCAYDtNJy2ewwCNL8yf7dHTvUfCFwkjspoxDZci5icdUg3si/ZtmWO63qkkfgbcoBdUfjoKOTkLkXg4UriGpVtZhwfNb95MvEsmCoUIjsBMUVXI5A4H417LKtmkNnP75HTPAllw8xHuqMnzO/2QwAkjJx4KgJdPdDD2BrpNrKQY3cQoNmJgFfY/EYZYhoOZJ+gcd6KruX+gIsfsUILUIgmjXh9lK4IsLTl0Jx/AIGs+WhcDkehwyp0T/0Fhb2SzeeLzO+NQgXjShGwiQAnWRqfXcQzoGxLTEYZApBhdI9HogKQGZb+Xmn2XWJpTLOIszTt2Zv9+zZmW9DWpdex5r3SKKwzoaYvHXglUjfUNNKG0S4VvMOMxZHm5VimnYOtceiCwkkuj0B5Fgp99nEUWqqMxkNU2x21VVhuwVafmB4rCMkhAZvQoiV4mrX/zsAFwNdSCrQlS5Ywfvz477y/Rmu0g7FG8AIUFxfz8ssvkzrinANqXPZnnqatSe5yOO/MeJRPHvg1zS1IvuJKwu++R/NTVTvhYMzbrB0tzrqLojfvZM5vT2T89OVcMbojKeZqOWg1fityjM0cOCsK7aISGH6KSqqP96hc+lpgrgMPRzWRe0x8vI2lKrylKGvkMARi+hHPMnFQhsoa5Px/Q8Mai/Wo1HkMIKxjbzalDXKKtcRDJn3Mbz6GnFrMMXpRvH8TmqD/br5/TML+YmnLK9A5VhNnIwaa4znSfO9j5HzvRqxVntnHQuKl2FsgJz/BfFaDWIsMR+NVaY5vLRLK1pp9L0BO9UXz2RjEqqxB4YCrEGPlD4f593/+w4knnUSbli15Ej2ARUjXk4z0Iq+Wl3PiCy9Q+4tf8EJyMisQIHPM+HdArRNyG7gOibYbZZ9MRiGzGxrYptyM2Vdm/NLNeSWh0N8wDk5Tk2hBBII+M/scgq5J2BzP3xA4bIIA1TI0rr1QNpUXAZsXECi8hLop1d3q/V7YEqCJZUBtRxl3YUdO3oXAjx8xFknmJss33/kANZh0Ec966oCu6Xd17Vk2HO4VaAPVR9oUVjXq+RH4WwSuD0u828OCYZbYmXY24EBeCJoHYVwIqoOq17Tcgi0ucIVgUwBWR2CPC+wQtC+F9sWQUwEjgzDC8OpBGzZkw+ocqPDAio3FFKVk7uOoD81caVIZFRcXfy/7a7RGOxhrBC/A7NmzCYWCpPYc8533ldpjLHve+gu9dhRQtXYNSx99lKwJlx40cImZ7Uki5+Tr2fX0b3nvlgu47tNZVGFzJwITQUel3S8xGQlhC7JtOMMjMDIdOd5maAXazJYD7GFp8k8UNT6InNjRSFAaWzX6EdtQjEIjcA85pwAAhBRJREFUF7J3MbjtyGmnI0YlhECDGzmHvHrbj0WOKRGEjERakheQHiNmxyHtx4UIFMxHQGYlAm2gEEYvxIx8YI4zH63cS6nr9PoiZuUq83cZcmqrkRD2ZQTgQubc7zHH8y7wgSW9zlTEeBxpfqcVAkDb0Oq9pTnnTMQmXY6YnCvCYRacey6LX36ZFffdw4BP59CtVSueRplFAeTMC8vLWTHhCD5YuIin33id6nem0SM5mSQEALqYY99J3cKH9c0xYzcZ6W+uJ86i7UKAawnx7s9+xAINQI72UMW8YbO/z9C9NBCFtjzmvfvRfdjC/N5qpInqgK5va3R9X0cszwkIGB6MudGY5yGwFTPHEnhJBDVllp6d3ebYwghQuAxALUMgdSkCcRErXi26vfm3BQfHPkUiEArGX8GQ/vUFYVAQ+pr3dkZhnQuWp8KTaXBnsnQszSugYwn03AVtygFHY5aNrk+tG7ZnwtZsKEkGdwh2h2FOU6hpBanV0HwPNC0GV1hi/6zd+nKNz40TjRzkCO/fnEgYUH+wRmu0/5Y13m3AokWL8GU0xZ2ec+CND2DeVqJQWyxZyM677iK5dY9vlYYIYPtSyDzycj579c/0mzGDHUcdTboDQyPKPmhrQSsXtPIotPEMgKUGinnIEf3BkhPYVy5BCAGdJ/VVKhAQ2YNWyDWo/PzYet/bjUCLg7KXEps9lKDMmTcQU5BosaquR1PXAZyEwjgfEAc2XsRKvIAYjD3Es4jOoO7NG0F6itvM/quoW5jOMed4PaoCe57ZZ1vkQAMIpHU2Y/AICle1cbSfJohNqEbAqB9iff6BwhcnIyeZg3Q9DyCHfCwQMcBl2WuvcP/RPv62YCsfjB1N9NM5HNmqFe+gUNSx5eUUTziC6lXLePjYJK6eOQv3SScy7p1pXJicXCdktov9MyJvIdbiZcRc7EEhu1WIVfGZMUlDYGUQBy5wV98iZgznomveHzEnaQgcPUa8hksGAizrzXGfgcDkEqSzykH32GS+P02KZX6rOdKbxMyx4hlQ21BBuD0I1OzCpL47UBMFdwT8EaiOqN+R39HfTgTSA9C8FppXQtNK8PohGBBACYTUHT5ixilKw/9P/LuLefndUJIGO7JhZVOY3QYiLkirhZbF0KYQ2u4Cbw0kl0HXTeoJVZUC23KhuAVUJGsf69pAbbIq+jpoO8eB2jmdCS2c9b2Mc6hoGwBdunQ5wJaN1mjfnzWCF6CwsBBXRrMDb3gQ5krXfnouWsjrXyyg2ak3fOs0RICkDgPxtOjI1ocfZczoo2lnqez5Lg98bsvhtAaGWvArCzo5DsmWhYOceLt97NdxHCzL4nni2Rkxi1V1TULsQeI+SlHPnVLkaBraf1/zeQ0CH4mQMJbmup69exKdioq5zUbONQWFjgoRGFph9teevW/czxAwcqECc2+Z9y20ut5i3j8G1XP5Ak3mWxDb8gxy8h8g4DIJZdCsRuLP9ghwLUNhkWwUnmuL9DQTEdhpi5z5aShUlRoOc96557L8tVd4+bQkTu/p4fiuUUY/u5X3x47mgk/nMKFVK64pL2fVhCMIrVrGx+f6GNjKRa/mNse+OIuFJ53IPe9Mg+R4flKkgTGI2RYEUvwInP6TeIjGMv8figDYoYZFooj5moscfR8zVtlIU/IUYizamfe+RqG/NDN+w5Euai4CLiNROOv7zgyKRtUlOhSEcCgOKkIhCBomhBC0DKhYXCCoTu5lUcj3wC4vlKVAWbJaDATdYkMiSLNiR8AdlZgWF0QMlelyIKMGsqv0alqt6rguNP4u4n21YkDCieh4HUeZRhEHskqg3RZpdyI2lKTDjhawJQ/m9Idan44nKQBJfkgKmb5hNtT4oMYLAS8EfKo343IgJaxCgs2AtAGD+fCBuwiVFeLJbLn3AB6CBXasIik5he7du3+n/TRaox2KNYIXUIXf7yvpyokC8K8FK7F9KSR3PvwAX9i/WZZFao/RVMx8hWJXBK/bRR/gDEuCv1j4x3Ecbrv1Nh579BGmTX+XIUMaDlOFQiHOn3IeS5cs5sGPP6GydWvaoImvGoVC7kSg4Sriq/EqxKRsRWLe+rqDRBuJMn5ORSDionqfH4MAUBYCJKvQyjfDfDbL/EaMabjNfB4rvf4U8c7aIBDyMXFNRz9U/yRg/t6MANCJ5jzPRoxQqTm2+Q4cawlkzUKal0Hmu/cgh3MiqsA7COmDbjXHcyQCYR8gxx5G4a5twGgDXF577RVeMsAFoHO2zZwpPkY9u5X3xo7m2nem89y55+CsWsZMA1wAxrZ38/5ZSRz34ixOPulE3n5nGsnJyURomEkLIu3KrYg98yH2rRxV6B1qxvRQobSD9DtzEVvRCzFNLRE4eRldn85oDJeZ8/ciYDgW3VufIuHyEHT99ieSjYTj4CMGNkIhlQsIGgBSHYTaINSGwB8UAAkYoBION8xy7Ospt4i3VfJiukITBxwRF5SnQGkqlKXq/wG3AIJtwjkRW60HnDQoTYai5soAcocV0smsgMxySC+H5OqEKceCqAtqU6E6E6pSoTpVTEpNsgBJxKXt0h1Iq1BDyuJk/U5ZZpxZcTnqjdTZggkuONELfW01sVyPwmHrgJqJRzPrN+lULfuQrDHfLkkBVKiuduXHnHH66Y1ho0b7r1rj3Qa0a9eOUMnL37AR38XCpQUARHcV423escHMokM1b8suRGtrGLBhLS169sRCTMNnaMLyOg6f3nILH952G+2yXIybMJ7bPv6EnUOG8AFaaSUDrlCIq8+azIdvvUVOqs3k0SP5bM48Xm3dGgeFOpaidOBT0ITuR+GGrxGbMOUgjrc5CiN0ROGQWCiqAIGVlShUFUbO9QzqhkDGoiyUS1DI62gk2P09CtG40Ko9pvlYiRxnTCBsIbBxB/Fw0QTiTrvCbFMMnG1JE3IaYlx6EmeEVqEsrhHm/Ichfcs6pHW5DAGgdkg3VInqtAxG4Gn7RRfuBVxi1jnbZu4UH2Oe3cqlPXvSJMmuA1y+GYv2bt4zAOb0007h3fc+YLdlfTNelQiwfImYro0IqOxG7SSGm+twqHe1g5zdXMTkdEfAsg0CMtMRQOmMAHQBqptjIy3WyDCkheATBx50oEMA+lVCml8Mx4KgAIc/BP4EQBI2TEk4IkAQ3cfxxcBGDFzU/78v4f+Jn3/rpzsCOZVApdiQsHn5geIUKM6A4nQoToUSLwSSzY8Z4GBHIb8FhN0CPSGPwI4NJEf0yvRDeghSbUi34hV4CzyQ75XQtsql72GJQethqTDeOEvP2EJHZRHWWWo4OT+sRc5oC4a7oYd5CGpTU9l24YW8+viTpA84HnfGtwuZVy37iEDJTo6+4tdEOXRg3GiN9m2tEbwAgwcPJlRbSbhkB56mBysTbNgCBWsBqCKI63vQ0AC4M+SqSnbtokXPnmQjh5EFZDgOzxjg8tcJPi4b7OWYFwLcMmE85378CflDhhAFKkMh/n7WZJa89RavTvTRr6WL0c8WMHz0SPrNmceHrVtTgMIAXyPHvQUxMYPRans7WmEnI6CQnPD/pIT/Wyjk8h5aXV+CqRRq9nMh0lmUoJop9S0ZAZV7UU+azmbbQQgUXI+qxHZFItN3iddMiVlrxES8jkI+sSvhmPe8KJTxHipU9zSqmeNFYY9q5PwHO3IkO5Ej34DYhMEovfkNBILWIDB1CnL6HYG5mzaS6rXpmNXwlN4522b2FB9/nBHgptHevYBLzNpk2GQlu9i6ZQvRaJRVLhfbiXcPzzTnFcv1aAb8i7pdtA/GHMRSzY7CuqgyXfr6YYgfNkThUTdsckF2tZiErR6Y7VbII7MS2hdCdil8mQVvZUOqHzoWQrNygazP2RtkJP6d3MDn35f+ZX/mdoPHCy434BbYiFgqCBmyJOj1E+/75SQevFsp0k3cSmFOdUOVFyo9UOqDao80LAFb27ltPSNpls7TtnSSIWBLEzGcAUvAHjMWqQ60tuAwG45xwUiXnv+G1lkjzL9BBzZHYFEYPo8oy640ogJ6vVABvetuvJlZL71M6QcPkDPxlkNeaIVKCyib/R9G/fKX1Bx+OH9Gz/gotAj4b1y7Rvv5WmOROqCmpoaWrXKxekwga+wF3+n3d714PWlZmViWTXUAmp30x++0P1AJ7oInL2X0rFm0GDsWB01uUcdhzS23sM4Al2tGqAhMRcDhqBcCLC7z0unjT+jRvz9LzprMjrfe4rWJPk7uLhZgS1mU0c8GKMrMZeSceQxo3ZoBiE1YiBz0IOTUYrR7yPwbRGGZWjSxVyFWZAcCOH7ksIYi3cgYTLde8/Ig0DHFvJ8IgGIgqAyxIkcilukIs88kFLKYgXQmr6EGhom2FgmKF6Nsnt2IFZmPwhdfmHNpD+xypNs40xKDsQuFu/KBQVGYZamwVxhpWp5FYtRfILZqkxmv2QgkPYqYn2hZGcOPGE/N2q/55BwfA/YBTvZnG0uijJ0awJvThj/MnsvO3Fy2mvPPANZOn87Sv97Nw//+D9O7diXkwDkRSAtClUmvrYmFVwzbEUjQfYSCUOaCLelQlAJZ5dB+pwSo1cmwtQXsyoKsKglUS9KgJAOwILMWehRCx2IoyIJ1zeVse+6CjkXg/i/MLJYFHo/Ah8cb/7838W8fWC5d74ABI7XmVR2ByjBUBaEm1PBvRIEat4BItQeqzL81nngYKg0VlGsBtLL5v/bOOzyKOv/jr9menlCSEAiE3ps0AUGaYhe7ggo21LPrnYfn2c+f5zXvLKeeBRRQFBTsKNIFFKWjgEhvSSCkZ/vM74/PbHYTNpBAQgnf1/PMs5vZKd+dzM6851NpaoUMC+CQvkQFFjigSzfrTboIvxybVMD1mmLJglk9V4MMDVpqIkyDplWlEVIwMouwIK+uQDAMyNZhXUCqAa8wpFdT2dw5/DbqAmLbDaDhBQ+g2SrnE0bHf3APeTMep2nDRF7/6UfWJSVxELFIBpDfUEtEyNS0mKHi9EUVqashsbGx3HbrLbz06v9I6H0ptvgGR14pCp4da/HsXMd1j37AvDlfUrRkaa2Mz39wDwCdCrLovRmSEyE2zmDq357k12cqCheARKfGN6OdjHzPy6oRw9D79WfPvLkVhAtAVnIo9mIvPw4+i22LvuObZs3IQmJachCBYEdOFAth4eIm3Gsm9MTfEHnqb2suP49wmfY9iBAKBdAGEMvAD8iNOFp8QgBx8dyJuJIeQYqsfQcMQ1xcMxBh9BoVrUDbkYyXxoggSUbcHNMR68l9yNPoViqm2DoQ0eNGBM3HBuRpYuXqQrjjcaE5xjLEInMjcjPxIULJCfwnOZn/zJ3HH4cPY9jUmguYLQd1zppYSlFCOoM+Xsw3WgbF2bDPAd1zwfjkc2Y8ehl2LcgFAwfRedJiztTasWh/dMtGZLBoYSxsT4XdjaFRKQzYDU0LodQBG9JgZWtI8EB6GTjcsKeBlL6P88GZe6BDDuTHwvp02JYGbffD+RshJlD194mGxVJJaDjA4QRbpAiJeG8zl3XYw9YSTxCKfVDsldcSn3RqLp9XBL7DZAUHNFOUxIWFSakdvOa/ymUNN/dsbxFxkmmFTAekOGSs+3XYFzCnIPwUgL1ByAvK76jAImIn4BTBlaxJT7CzLDDYIla/gBbOgNppyDlcSMTDgQFrDLHaGOb/NQk5J0OipgXRLW6aZmYmWiXAHKSo3aaR5/DfydOYdON1+CbvpOF59+JsUjmUPoyhBylZPZuCRZNIaJ7J9fPm4kxK4lbk97eecAXlAiROrBCxng5CShkoIaOoDZTlxSQvL4/2HTriSW5Jw8v/XOMMId1bSu4799OrU2sWL1rIC6/8l4cffJCm97yHxRFz5A0chvxFkylbP4ezPz6AZtWkA+/2tXx2c3dGd7Ux9fLoSa5FXoOR73lZscfP9CtdFYRLJKv2BTnjf6UkjRnD+ClTcBGODzAQUVGK3JQLEOuHDbmYt0UuTA2RC2loSkaCWJshN/0nkKq2GnKD9yFBtJ8iMS9m8kf5Z5Hv30KEgQOJudiBiJIEJFj0SsKFyPzmtNz8Ds2RmJi2yE0gB7mYtkesJalIGfU2QENNLDUF5ra7GpJWnabJdtLM/Q8HpiLm97fNcd1vjnE1Ev+xCxFEqwF/QQHfDh+Gc9M65ldTwGw5qDPknVIKPQZlOBj8zy85u+Vw2uTBZ12h+eTPeeHFy7i4nYUXz3MwfKqPfcFknvnDYjLSo998ClywMQ12pJhWkxxoViAxGJtSYXNjcAQgrQhKnbJc0Crpwm0OQOccM9soHfYlQmYBdDsgXZLLrR+RVpBKQqPCPHNZ62Een3RDLEdFPigJiZEIkRJ6HzzMFcxAREikKCm1Q6lNgmQdVokxSTX/zxkWyLRBCxukOyHebrp2gJJKAmWv+X5/EIqtkGuFfKts36dJSnaMBlkW6K2JSOmmSeq4pQZ38GIqiprfEDdqmfn9Aob8ruLNbbqQ32MbLVxFuCmHf1Jds2YN1984lvVr1xDTvAuudgNxprfFmtAQQw8SyNuFZ89GPL/MxVd4gMvHj2fYP/7B9oQECsxtJCGu0zOQ39sWRMj8iggbHbHWdkSETAuUkFFURPU2OsrGjJ999hmXXnopcd1H0uCcO6vtA9a9peR99DTWwt2sXPETbdq0YceOHbRq1Yrkc35HQo/zjryRKjD0IHtev5WkIRfT9pG3iC2VjAYCQda/MI7s+VN57zIX13SJLkw8AYO9xUaVcRf5boPhU73sLIvl6gULeblbN0oR988qJP5lj7lsA+QCZYdy15XXnMzYxHKxE0QEz1YkaHQ3cpPvT1jcJCFWjt8hoiBauqwHSdvug9QU0ZH4lpeRp7gY5OL4e8IXwlzEWvMkYsa+GYlFmYfEplyBxKq4kRL+7xkSk7Nfk/1tR8RLoSEuhlSLPPnakZuCHbE4FSPiKg65SRjIDSYkmlzm3wcBa0EBweHDMDauY81tLlokVy2O890G3V4rIdau8dWYGO780s+CHRqjb/uC1h2Gs3Tb58wxhcsHVzixWzWyS3SGvOsj15fMfQ8tpklaOywalLrgtyawuyEkeqBDLmQVSNDnllT4LR0sVshyi1VgSzIE7GC1QAcf9PeKpWFFPPwSI+6MIUAnu4gSy1FGaPr1ioKkxAdFXnkt9pqCxXfk7eiIRaPUjDUpNd07Xgc4bOC0ipUjJEyamsKkhR2SbYfGjRiGpEtXFij7AlCoiwvooBUKbBLX4rFIbIwdOU5dgQEWOV9bmuKlrnAjv6udwA5DXKUHkHM1CPgjRI0FOaebAu0iXE8NCf9u/H4/s2bN4uVX/svSpUsI+Cv60WxJySRefhVp439Htx496K3BEAs0t8EmU/hvRH5DFkScnIkImjJEyKw3xxZ6MOqKCJljizRU1BeUeDlK8QIwceJEbr31VlzNOpF83r3YUzIOu7xn51oKZr+EI1jGN1/P5swzzyz/7OJLLmHOkhWkjnsRi/3o2g4Ur57Nwa9f5sw3V5CeeQaFMXAgWQIm4wuCbHl2HNkLDi9gqiLfbTBsqpddZbFMXrCQT7p1owtyAUxELCadkSfFw12DQ5aZooip2Hx9F3HrFCMtDfoRjpfREKFRCuXp2jbC7o14cxuFyNPcGiR+5irkQpiLpCWvMMebhVwQF5rb6otYQxYjVp405CLaxNxnYyRl+hNDhM1YTfbxsTnmvYaUV8+ySMZVOvBP5AL8D/O7/wa8ZO5rHlLY7yMkjmcfkrk1B/h9QQETzxnB7l/WsPo2F1mHES8H3QbdXi0h3qExf2wsKTEal37gZf52GDjiERbPeZZLIoRLiJCAyfYnc84Liynu0Y5Yv1hNMgtAs4iI2ZwqAiWrVITLrmSzbogFmvmgtxvaBGFzPKyLA5cF+gelK3msXUSB3Xy1RtH33kB0C0nke3c13Ut+7dBYE78LDIdYTVxWSNUg3QLNrHIjbWGHdGvFXlmV0Q04EBSBsicA2REWFbcuoqTAIvsssIto8VlE7KRgdmRH6iu108z4k5PEjOBDrH87gW2G/GZykd+Sj7CoidVE/CcjDwIdtHATS6vXy/r169m/fz9Wq5XWrVvTsmVLSg2NjUFpbfCjLqLFZ1qTugMDLdDKBjstYv3chlhCY5HfcF/kd7cCeTgqNsdsNz8fxJHbXijqL0q8HIN4AViwYAFjx93E7t27iGk3gNiOQ3Ckt8GW0BDD0Ank78O7dyPu9d9StmMd/QcM5N13JtGmTZsK29m4cSPduvfA1fXco+pUHSjMYd+ke+k26Cp6/34i21MgthSa75WiWdvTYH9CkJ2PjSN/ds0ETL7bYPgULxvcsYxbsJDUbt0IIO6PxtUcn4GIkDLkKTDaNJ9w2fyfzHWaIoLHTzhmpAdmEDLheikexFyegFz8dMQUbZjbLEIudi5EdJxvznMhYuUu5KbyDpJVZEOK3U1Dmkw+j3Sfft0Q988ETaw8BciF+EYDfjHkRjXRHPd/zO32RIJ2WyBiZymSav0g4Wquk4FHgTMKCth7zgh+/WUN86KkQ0fjt4M6QyaVVhAwoz7w8vVvPi7r6DhEuITILtHp/robPTmLv7z0GxYDdifBrw2hxClxLTYDdidCoamnkzzQ7oD0xclJgE2NJEOmVT60yQNnRLxIUJfJb4TTmQ3NjFHSZL6hSYAs5qtmkQnLoX/77OKiKnWaMSEx4HNK5o7DCglWSNckADbkzmliEWFbHa3gNyDHFCWRLp/sgHzm08Ra47ZDvg0KrdKBGYv0QMoy/9f9NOm0ngk4ThKRUlMCyO9iFyJq1iMCuwD5HQYMsZjEavL7aoQ8wLQ13U8ZHCoIAwZsN2N8lhpiHT2I+fCjSYZUlhX2W+AHTfZnmNsajLhrdyHp/rnmZ7HIQ84g5IFDcfqgxMsxiheAkpIS3n77bV58+RW2bP4VkM7PhqGXV5caMPAs7r3nbq666iopdBeFl156iXvvvZfks8eR2O+KateRCRTt58CHfyYl3s6fflzFOlcyejG4iyDPB6kHoP0uCLphS4Mg3741juxvqydg8t0GQ6d42VQSS+9XFtKrSzeIB2cCdIkHa6xcwEMCxMOh9TY0c3ISzhCKNpUhJf3vQC58/0GK4EUerfcRC0+3KGP9C9JZ2m6OoQjJGgqVfT+PcE2SrxAx1Q156mtv/r3c3HcJ4uI5E7kY/4y4iwoMiYVZpYkZPQMRccU6ZGvQSZMMou5ICuhcpG/PFUh9lxjEZJ9jfrdQUHIHIL6gAOOcEeysVICuOkQTMJ//GuDS9raowgXgH0u9/GGOlwtueZzMh54ixwFpBeDwwr4EqUkC0l24zUERJ2UO2NgIcmMhvQBa5kCsO1zLpHwyal7LMWgRUaNbJMVYt0jRNYsmk10TkRBrhQS7xJgk2iHGDnabGS8T8WqvZPmxm+4r3QIHNMipFJeSG5Qx+zXwWcHvgIM2cf2UWkDXJJMsFYlx6qNBT83M9DlFRUpNMRDhsAvYYoqaXYgIKUKsVFZNREVDRMR3R0RNFmbadmhbBuTqsC4Ii4Ow0oCdmvx+25jHNtMiWVYrNdmHE/n990N+N6sRd7OOWIXOMqfaKTxRxTEwDFauXMnixYtZs2YNhYWFOJ1OOnToQN++fRk+fDgOR23XgVZURomXWhAvIQzDYNeuXaxYsYKcnBw0TSMrK4tevXrRqFH1fk5PPPEETz/9NHHtB5Jyzh1Y41IOu7+yjYspmPs6aQ2SWLRgPq1atcIwYLshptq5PtjiFuHStgSGbYbgbx7uero1Dn8OOQ/FHlYkhW5wbR6dSOpF48qFgR3TlGyFBnGQHg+pCfKaYBPLhb3S5Ih4b4syz4pUfP2z+fkMJB6kb8R48hDLxu8rjTOIiIHHK81/BRE8fzLXvQG5AI9GKr9ea+7zCSTt+wLCAqwf4nbaj2QoWQCXAUsMualmIiKkH7BXl4t2oiZPrA2R+i2G+b0WIRlQILE8awk3lnwIeK+gAP85IwjUwOJSmcoCpklC1e6m0P91wKOPcuszz9BE09gMbNTBa0Yzty6DtgVQ5oafHLDZBbEl0DQHUopBC0qR6MiJSvNCGJqk8YaESbk4MYWJVQOnKU5cmtykHBxbK4CAGYfkNcw+Q+Z7v3kV0y1g2MWt5HFAsUOsKj476KYASrVDWxu0t0OWAzJs4DJFkN1cpiYBtfUVg3APqM2mqNmGuJULDPk9WUwrTRpiRemOuNFaEC4aWapT7mr6IcLV1BQR+BlWKLLCb2ZsWSPk95SMxJ9tQKy0DZEsw7Oo2Fj2mL6jYTBjxgz+8uz/sXbNaiw2B660lhjOeLSgD//+HfjLimjUOJV77r6Lhx9+GJfr6EIAFEdGiZdaFC+1xfTp07n9jjspKikhpuPZxLYbiCO9DdbYJAw9iP/ATry7f8G97mvc2Vtpf+kV9Hrhv5yfkco5dkirdM/KNeBzL3xcBnvdfg7ccQ3ZX33CjKucXNL+8JaXUBbSynwHLafOJa1VXzx+SCgNF87SzBtQLBCnQYMYaBoPDRIgMR4cLtNNQPTJRzgl+hckODfD/Ow7pDhdKGgPc14f5EIYEkAFyMXrbMLiyIGkO5cATo+Hvd9+yzPnn896q5UAEoNyA1LZ92GkqeN/8/KIXb2agcOH0wwRHGsQl84wcx+f6XCeReIE2iEF4B4LSiaKX5PaMH4k8PcLxNJjQ4RYCrJeKOh4l/m5/ezBWH5cyoIbXFUKly0Hdf4wx8Njg6vOQvrtoM7giaU0iNFYc0cc1ih31pBwGXrbo3R54Bm2xGl4DbnZpxaLCyjBDztTYFuyZFi1LIYmpdFjQ0JZOnosBGMg4AKvSzoZWzVw6FKqPlWHhkFINCvqxgbA4pfy/D4/+Cu9ht4HDpO6DCJGKgsUjy6CNjQ+i+neCWhSv8WPiCkId8tORG6C8UjwbHXlo90WtviELDyV/z7Sqz1KQHB9IZQBtckUNZsRgZ9vyP/Gpslxb4ZYVXoCrc3YGMOAHUH4MSAPDesIu5paadDYIrWH8kwhnIX8JksRa6kHEUvnIUX5ko7yO+Tn53PzLbcwa+ZMYlv1Iv6Mi3Bl9USLSIEzDAP/gR0Ur/qKsnXf0LpVK6a9/x5nnHHGUe5VcTiUeDkJxQvAgQMHeO2113jl1dfI3is5PJrFWt6a3mKxcP4FF3DfvfcyYsQ5bNbhGx8sD0BXG5xrh27WihdEv9/PeVdfw6LPPuGjagiXECEBszrfwfVfzWXFGX3pGACtBMqKoawEdDegS3yC1RQ0MZpU6Wxkg3YJ0D4eMuMhIw7sVdwZcpE4k3vNvycjMS5dI5ZZgcSzXEpY/HyBPIV1JCyKtiIF6xweD9MvG8WG2V/T8YYb6DpxIldarRxA3EcxSOzJhzk5rBkyGP/GX+n5/POkPfwwGYQvtg0Q03hAhw6meHEh1po5OiSYT4N7EHfU+UgQ8irE0nMxYqmZjAgZDUkRbwvsGnsj+6ZOYfoVLi7reOj/ZctBnUGTvewrDJAUa60yjXrh9gAXvFfGoOZWvhpzqFUtJFxaXf8oLcc/g6ZpNM6DjluhSS7sTodNrcFrhzY7oPVOcPoBq1gpdDsE7RBwSPl6zQ4WO7hsEGeHWItUjo23SQyK3QoWm8SvWCLf2yL+tph/R1vOKlauUDxKjl/cPLl+cYnmmb2JCIglyGlIA0SvIUXlfEHQA2AJSINEOxIXlYTcAGNMK8+JRiPs6qq28AktawtbgmzWU0cEhTKgNpiiZAMSPHzQFDV2M7i5JRKg2wOxZgZ1WBOE74KStbQLEZpNLGL5LLFKEHW8KWbiECtQKSKILkaETEI1x3nw4EHOHjKUTVu2kXTOXcR1OOuI6/gO7KTgy3+hFe1jzjffMGDAgGruTVFdlHg5ScVLCF3X2bp1K6tWrSIvLw+73U7btm3p2bMnCQmH/vzydZjnh2/94tY5xw6D7WAP+Lnu2mv49JPqWVwqE6rEuzrfQcbXcxnTty/phsQN7NKhiQ4uNxwogn0lUFQGhi/sFrBo8oSVoEGKBbJioXMCtEgQQZMY4R94krDrqBBJdX40YiwGUgn3GcL+878hwbGRRbdeAEZ5PNx+2SgWzZ3D/X1t/H2Zn0vHXM/0iROxWq28jVw4LTk5vDZkMPF7t3FlO/jvT37ufv55Vj38ML2RC+sQ5OL3miEWngc0cTvNMWCCLjfar5H07J1In6XRyM3xZkTUlCAX1KFIwG4m8qS/KhCgdPRo9n884xABs+WgzuDJXnyNMsn85DN23XA9gSiVeEPCZUCmlU+ujSXWXvEuVl6j5+IxdHx8Ms2zNZrmSpO/nU2gOB7S86DlXogvE8uaXZeOyLFBiNFliguK+8xB9QJha4KOlKuvbEXxEo6h0TSwWwCbZEK5bZLp47ZJV+SgKXoSrZBqhSY2EdBJZvCvbk6hoO+gJu+DhhlMbERMEXE8fh38QTn/NDOQK/R6sqBRdcxPhfmhzyKET+XMsBMlgnxIkb0NiHt1HSJyDprupxhT1HRCLLAdDCk+uCIIyw1JwfYi1xqXReKXLBo0sog7KQ8RTs0R6+ggqm6PYRgG55xzLou+/5FG1/wfjsYtqv09dJ+HvI+fwlawi40bfqFJkyZHczgUVaDEy0kuXo6WgCFWmG/8sM0b4JebrmbN54cXLiU+gx0FOp1To5tFygvZ5Tvo//k8rGf2wW6VtMkuulz81+hiyeigQbIfcgrh52IRNB63BPQZZoyDZhFXU5IGGU7okADtE2BDPHSKlYBIgP8hLpvI/KzpSMrmGcjN5EkkdiXEAeB1j4cll41i/tw5fH6ti+GtbExb72fMTA9jxlzPxIkTWWu18kBODj8NGUzc3m0susFBu4YWnljg5ZlFPrKef54RDz9MJhL7Mhj4nyFxKueZ4mWMAWsN+NwiF8QnkTTpHwnXrnkVeYJ8GgkqfgSpGPwx0jrgAHC/P8CEMaPJ+XgGH5oCJiRc4htl8v7CxUzOyCC1oIBXzFYCc00BcyThAuANGFw8zcvCnRqjHvyC4LnDyW4ESaWQtR9S3Ka1w8zuMSwiBgKRrxYJrA1WEU5jhFwxEVcKDSleZ9PDrxYdjCDoQTAC8qoHZZ4lCNaguKtcumQ8aYbE0Ph16Y+k62JhsQbF/ZRknkfxyDlVM2lefQzCdYuCEZNhk2MSEkZBM8C3/FULV4IOrRM6OOUCyHyvmS4uLfS5eayrnG+h1oWURYsQOxECp6ZWIaul9kRQANhniGt5NWGrS74pauI0yVTsakBLXbqN/2KI++gAMg6rTf4fsRqkaOLmBfltXoE8oERGqfzvf//j9ttvJ/Xqp4lpWXP3T9BdRO7Euzh3yFl89umnR/vVFVFQ4qWeipdIvlq9jgt6duPaLjbevyJ6hd18t8GwKV7W7vPz3uVVZyGt2Buk9xul9LruBrq88i42i1yodtthvxVaGJKhk65L4N5WXdKHe1iguQF7i+GHQvi1BA6Ugt8vF5PQxdeuyUVIt8KgeMloSkyAufHwSNi9TAHwOiIEspHqtndGjPN/Hg9TLhvFjxHCJURIwFw/5noGPf889w0bQrwpXNo3EuFmGEa5gBnx/PO0ffhhBiNtBHYYIk5aaSJGthvyVHjAIu6qIUitlwTE6nIJEmC8F6nr0gpxi30P/B1xXV1qSDn3+4MBfj9mNOs/nsG/znHy/PdBfI0yuW/hYn7IyOBcpBWBvaCAvn16kbtrK88Nd/H7OZ7DCpcQnoDBJR94WbBT4957v+DiRsOx1uGvOgCUGVCqScZOmSaT17zBB6ygmU/6umk58VqhzAoeq9RLCZrBvVikWaHdKpYXi5lKHbCG46EguoCKnG8LivCx6RUFVfmrKYwOmR+5XuSyQbFQRa5zpPu1QfQWF0EtnP5f/lkU4ROaF6Tid4dDrUK18RpVYFVjvtVag0yww1iJrFXHnmMgPcfWIS7lFUhl7VBMTSJmxqEpjg8YInpKLeE0/Rjz2uPUxKJzFTDY76dN8xaUNOxAo4seOsJ/tGpKNyzmwKfP8+OPP9K7d++j3o6iIkq8nAbiBeD5559nwoQJPHG2gyeHVIyAz3cbjJjqZXNZLJ3POpvln38aVcD8mhdk0Ls+gk2yeGfeYvqlpbEuAMt8sDEgvVAa2GG7HX6xyNNvP0PSkN06rDezT3paZOqgwW4P/FQAK4tgZ6m4mwJIhoHdvAjGaiJw2sVAX9M6kxkPb7ngFk0Caq2IKwegVNfpeeEF7IoiXEKEBIwlJoaGVj8LI4RLiEgB0+mFF7jt/vvZiBRg642kfz4MLNLBs3gxMUkJDOrRgwbId3gXcW+lIm0JJgM7Zs3itV69mJKZiQHcCvQx5IL6tAY5GgQDAd4cPZqvp08noU0r7ly4mAEZGXyINJ7MBVZ//jkfXDaKZLvOQbfBiFZHFi4hPAGDUR94WbRb4+PpXzBk0HCxggTMybzIR3uvByIsJubfwYA0diz0S7XbIj+UBKDUDMa1BCUexWVArGlJwbSieHQJqvQSvglbDLmZJBgSwxCHWPMO/S/WHAPzxh9hSQpZlYKWipYmvyW8XLDSsoFK6wcrbaeqC2VlYaVRURBZKwmjygKqsniyBmSeFgRNNyfzPaa1yjAOFTyRIigkiuoKLWQtOpw16QgCyhoSrSFLUKSFxw5OR/hvp1NaSjgcUBYDm2NglRPW2GC7Raph60h8VIyZFVdimOnwpsXRChgzPybnyitoctOLOFJbHfX3N/QgOW/cxpjLL+Ktt946lkOpiECJl9NEvEB0ARMqQLfdHcvYBQt5qnNnfjduHO9PnVpBwPyaF+Tsd31Ym2Tx2LzFeBunsU6HlhboYxEXziY/fO+HrQFoY4O2dthph+WaBLo2RW78TgPydPhNh1amkOlhgaaaiJw1RTCtAA4WQ0kplAXEvOu3SJyFDbmpxdolmykhEa6Khy5mIPD7RUWMz2xGmzgPi8a6SHBGv6F/sN7PP38IMPnSQ4VLiLU5Qfq95SZp+Dn0/2o2FwLZhgQMd9AkILjgwxksGX0NFqeTgV/NZvrgwTyCWF/eQkzZZwBDnn6axU88QXLTJry36DueadWKBoaIr8eALRp8i7g+GgYC5L/1FsFLLuGmJk3YgVT7HQn8+PnnjLn8Mi5sY+F/Fzr48OcAN/W0HyJcSnwG8VVUSYsUMJ99/gXDhw8/4vkTMKQ3T+WePdkBiVMBcTc0NuNM4m3iTim0SRXVnZo8IXuQG6oNSNGhYxC6BqGdDk11aGwGo0QTSocVVwG5ER0itKq7TjUr+dYmBlHcctUQVhVEkzn5K4moqlx8US1Thvk/CYglyRYwhZH5t6XSVFkklVeMNF18mmEaZCLeW4xDrWHHG6sm1jufE/Y3gD2NYG8DyEuURqN+mxwftxMKH7kLY9bnNL35v8e834Pz3iQpexW7dm4/9i+hAJR4Oa3EC1QUMPf1c5ZbXIZ+sZDC3t14DjhDC3LbTeOY+p4UsuvZxMKgd33407K4YuFi/tUkjQQkxuUXA37S4aegxBz0sUCWmd641AfZQehshy52KZ2+WBMXiw1oZkijvoAB2WZQZndTzKRbYKYG9xqwxwMrC2ByKTgKoMgtN8CgJsF4GmYPJA1axEF2AozYvJw7Lh9GlwZ+Zo92VilgDsfanCDDJnuJbduZmLnz8DdowF1AiiGWgJYa/GHGDJZeew1Xd7Syr0zjx2wrX3w1mzsHD6YBUiRvIPD3p5/miyee4OEBDj76FXY7G9J14Xf81rIVbTVorkkg4V+QujZ2pNJvPBJQ+BhwO7DIMLg5JZkmWgm/3h2H4zAF6P74rZdXLnBxR+/o1VLK/AatXyzFlpTOrt17yuf7DBEk2QHpdhzZVDBgXgHsGqTbxNqWZJNMpDIb7LBInM8+I1zOXTMgxpC4gi4adNYkaLm5Vrf9fGqKEbJURBNKNRBDh7NcRbViVfFZleabOiSoVRRQwQhhVB1h5bdIOnrIBRaIcHkZhpmeHiF6QiII02oUetVMK225ACJCCFUSQ5U/t1CFgIr8LGJ+JD4b5CZDTkP4csKZ6JbYY3IZhSj9ZSEHPvs7eXl5NGjQ4Ji3p1Di5bQTLxAWMOkJVvy2BOYtWEjrrt0Yr0OqR25eQy1BPho/jg/fn0qDGCuWpi254JPFfN84jXtiYJxL0mJDGIbEgvyoS3EpH9IdtxmQbVpkSgzoYYeuduk78z1Ss8FlmrVjDIg3oEwXMbPdAndZoJcFWmhimZgH3BiAX4phTT58XQq5bnB5xdXk1+TJyQEENixn2b3DOKORn29qKGDW5gQZOtlLoG1n7p87jw8bNKAb0pn6N0PSuVd/NIOZ117DNZ1sTB7lxBuEC6d5WZptxfrVbLoOHkxjIP7pp/ngiSf4y1Anjw52sqdIZ/BkH7ucDemz8Duebt2K+UjvpFCJcwMRLPcBU5DaNnZEGFjfeIPvx4/nd30cvHy+s8p06D59+vDjjz/y6oWHCpigbnDrZ17eXevn0bem0OWK0eUWlTw9nNkTa5HeP01s0NAmg/Ba5X+zGYnjCQVMYkiQbSpSUKyrJvU6WmgnVz+fU4VIK1JdWZpq4iI84njNKRTDFnpvRE5UfNUj5keuFzR/yz5NBIVPk47mfi1shfVbRRT5LaZLLEIsBc3thYKmyydrxVfdDKjWo7xfeVkrnJm9SBky7pj/l55d68l5bwIbN26kffv2x7w9Rc3u37XhclacBPzxj3/EarXy31de4utPPqNbt24AtLXCE7GwOgjf+KxYX55Ef7uTfWt+4l9ffc3I1DRudcM0Nyx3w5UxMCJGKqJqGmRp0pjwKmC/aZFZHIS9Vuhhg1QDDgbgQzcEyqCPHS5yQJENVmhQakikv9MiQZ6JBnxuSOq3z4AeVlhrgQutcEaKTC2Adwz4axmsK4S3SiGxQOp/FHToS6f/zGPlfcM45z0vc6opYELCJaZtZx6bO48VDRqQgri+7kMumDNmzODAdWHhYrVoxFrgi2udXDjNy5Lzz6PVV7PJWbCALyKEC0DTRAuLbnBw9uQ8fjn7LOYv+o4rWrUqFy5lSDbVz8BfEcHmRDKd/g00uu02HgP+On48QAUBExIujz76KM888wz33Xc/d770IkC5gAnqBreYwuXsl6aw97zRlLhFoHRxQqpZg8Vrg10W2KDBKjMux4dZg0OHONOacpFmdh+2iFitqp9P6Mkn0tMQuuEFI95X/ryq1+qsp1fxeVXzq7teTbdb3fUqfG4B3XH49aKhRRzr2vqsPH5Gj7BQRfwd+hKGLhYRPWiKJAN0c37QfK8b4fm6UXF+ENNCY4SXC2K+J2IZLVyx2V/JQuS3HupKC2phYRI6jiHRFIquNpAsOM2Q7xBwWHHUki8xVJ/LGq07qaLOUZaXes6T5hRinw5zfFKOv6MBo2yw2gY3GPCgB5xuiT25IAaGuaq+aZUYsFIXq8wGXQJdG+lQFIT1fhE//ezQ3SF9ZJZrIlYaI+nGHQ1pDmfRIc+QujKDNOhpha0WKNLgPk1SmX9CGipu98OLxdCrEL5dspz3bx9Gz0Z+vhvrjFp1NsRvB3X6vu3B17YzHefOY1iDBnyMFJxzL1/ORzeNI2PUZWx4/q8VhEskZX6DC94rY/Fu0APBCsIlkpAFJs/ZkCd+XEF+kyZsRGrb7ESyJMqQ4MEbzPkbCccP7XjjDeZGWGD+uczHH+Z46TbhUVo9/gwlhkZR0GDbw/ez/7UXefVCF7edYS8XLoMmTqHt6NEELVBskQJ6xYbUovEb5sUcsBrivkoFGmtSDTVZM0Vrpe8UeYGI9pnFnG+JeK9Vmn+kzysvW9vrHa/tHut4Djm+RrhAY8CIqF5daX6V85D/u9987zMqbis0L2CuF1rWH2Ve5HlgIOewBbMid2jsppVEJ+xqCm3Hh/RM82niTvaZy/pDIsQwLTUmoWNiM61/dl1i6+J0mRL9Utk52Q/JPmjohQYeaOiDRDe4fGDzAxEuwvF/OY/VpXk0vvJJjpXilZ9TtOAtSoqLcTpPhrKIpz7K8qIA5GJROTm6iQVudIkVpZUfPvBLV9gsDZ52wRsu6OiGmWXwtRsuioHBLomHiCReg8FWmfwGrDdgeRA2avK030CXGJn5JXJT7O+Ang7IsUpqcTMNRhrQ3CI39X8bsFuH/TqsDEJTAx6yQJwV/miRJ6opdvh9A8hoAENiW/Bl0yZsz9mON1jR3VWZnBKdwrIgjTp0omNCIj8bBhdrGsHly5k6YhgOv5tf/vochm4wtIUlqhCKtWt8OTqWWz5x06epkwf7R79YpcVrdG9s8OnmXL7bt4+0Jk1IQawZ+cBFiFstFSlw1wa4wpDOzesD8P7Y27jSDf+9bzxrsoMs2RWk232P0ue+Z0gr1ciwQYZVI+2f/+ZlG9z58otMXuvn+z06Z787haTRo9lm3ni0oMTxNDJkP101SQVvoUGGJoGOikMJZfIEqCgKKouH8hYYRtXzogmFKucRIR7M95U9Oxpm+wxNLt425LdZeV7ofajooKaFxUfI3WPBDHYlbO0KIK0WPIQzxso0+S4+TLePOb7KSitk/bCExoNYF+2I9bUREseWYk6NkbosyUil6zjMdiTUXiZaZYat7cNP/34JIxio0AbgaPDu2UDHTp2VcDlBKMtLPSYPmEq4LH8kTyPxF4sMqdty0AdrzIyivU541IDvPDDPDYkWuCQWBjqlou7hMAypBbNcFxeTYUBKULKLsoPQ1ApWBwywQ0MrLEWsD7FI0OxAJMC1hQ6zDIjXoZkuF8SWFrjZCgm5OfQbOhhj7zYWREmHjsa09X7GfOxBS0vF2qwZFz3zV766ehTdU/x8ea2T27/wMP2XABoGb17s4uaeNW8fGNANRs/08vHGIBd+8CFDLr+cM5ACXEuQisVlBqw24CqvPBVmm0GzpcD6ODijDLKs8Mm0N1h1z+3c9PCf+OMzz+C2aezRpELpb0iAdIFh8PP997P3lZfp8s5kml87mgwkgLYdIlKaa1Jj51TAMGpuWTiSOIi0HFQQB4cRDNHiakOCwEpFoeBAfhORgsGOCIrIz+3mfJtmNi6NWDY0zwrldWJ0LSygIi0YXk0sd0WGBE8XIVa1UnNyE17Pj4iPUNq0waGWHV0LW4Qs5vd0RkwuwkUnExGhkUREKwZEbMRFvHdF2c/JwurVq+nZsyeNR/2J2PZHX94/6C5m36vjeOapJ3jkkUeOvIKiWqiAXSVeAGk4uACp9lqZp5FuzdOQlN92iNVjjh8+C0g69J81aWH/jQcWeURsXBoDZzqr33V3r+laWq6LeEkxID8gXWbPscEAB/SywzaLtAtojrgzfg88bUhfoxgd3jYkk8m9L4dF5w4mft+2qHVcDse09X5Gf+TGZtUwgO5NbMy/XtKuA7rBdR+5mfFLAA1485KaCZiQcPloY5A/vf8hoy65nE8C8L0hT6tbbdC5GNwWSAyKOMuwSeBskg2+dMKdGsRbYKEGC4H4/HzKklMoQESPgZjPLQYkGZLW3R6DRoUFdGmQQho1D6ANWRkquAyoWxdFpGiIdFtUtjJYqCQEjlEc2CstG7JYRJsXOd9W6bgahogCDyIWPBFT5N9ewG2YYgMRGcWIyCgjLEhCU+T3D8XAgBm3UsmdYiPCbWPOC3XtjvwOcYTFRgJhy0ZslPd1WcX4ZGLAwLNYvXUfja//11FbX/Lnv41n9Rfs2rWT1NTUWh7h6YtyGykAuWAmRJkfilMAySy50Hzf2AKjnXClA94PwP8Z0NYLw+3weycs9cCbJfC5G0bFQh/HkW+WGRa41CINFwsMWKHDcjusCsCeIEzxwDtl0M0OF9lhuwMGaNIV+hdNXCzNrVJyP5CdQ9+RRydcAK4169uM+diNVYOgP0DAjJC0WTTevyIGjDJmbAhy66cegGoJmIBuMMYULr3f+pDFZ1/Oex4JUm4flADk1hpcGwPTnfAsUKzBNtOS8hqSXv64AaUB2GKBTB2ccSloPvmskyaupobIjUjTwKdDAI19cSns8FYUAjURD5VjWkKuiJA4iCoEKgmJ0M3SqYn4jCYCKgiGyGWqWLa6ArkqQpacqgRGaeR8I/y+FBEaJYa8Dx3DkDUjQFgwlLtizL+tWvi3pSGWjZCrJyQ4bMgx0rVwgK49YgpZP+LNKWTRiCY4Qu9jOHmtHScbL7/0In369qVgyfukDL6hxut7dq2n+MdZ/N//PauEywlEWV7qMUuQJ7xzKs3PQ9KDf0fYAhON1Qa8a0CmV8RGNxv0tsAmL3zvg2ZWuDwWelRDxIR4//33ee7/nuWGyVNp3LU7RUH4PiA1IDwB6W9yh83gm78/Q+6cr8iaOYuUtDTSvF7e7NENxxFcRetygkxc7eepIVVnIYkLyY3DAp1TLcy5IY4UszhJZQvM9KtiuKLT4Z9Hb/rUwzvrgsRN+ZDYSy+nmQ7ddBEaZRr8YJPAwlzT5O8MUt5AsMAO8QFw6mJu121yw2qnS6xQAhVv7lbt0KfryuLgEFERZZ7D3FZl8WDl+Kc/G6YwqMqCEfrbS1hkuCt9VkrYRRI5hb6KhbDAMDBTegnHiISERQgH4eKJIRFlEM4iCrlmykWdub5mrnc4sVHZ1VJzB6XiWHnuuef405/+RMqwW0nofekhpQmqwrt3E3kznqBvr54smD8Pm009/9cmyvKiAMREnRxlfi7yFH8kemiSHbA0Bl7QJb15ml+CaM+Ngxwz+yfLJiKmi/3wN7733nuPG264ngSHxl+HDeHm+Qv4e/fu3GWHDWbA76qgwUuPPcaufzxLosvK9kGDuHPeYto2SMTm9WK3grOKwJu1OUGGvVNGnttg6a4Ac26IiypgYu1y4z6vjY1FO4OcM7m0XMCELDBxdg/vrPGT7zmytj/g0bDY7TRKbcRNVjhglWO8SZMOygct0v3YaxFREmOF1hbYbZEYn4sdkKmBW5NO2k8Rfno/2QiYLpPDuUsqWzIqfx5ykUSKjJA1MDILB8yaIYRFg1WrKBhC71MQERfaRiSVBUdofzYqWis0Dm/diGbtOFn/T4rDM2HCBAoKCvjb3/6Gb88GUkbcgTU+pcrljaCfouUzKVr6Pn169+aLzz9TwuUEoywv9ZgPgc7mFMkC5KJ7BtII8Ui1Juch6bx3IrUafgjA137JDuqqSc+brX4J9r08DjpGMVSEhMvYbnb+fo6Dc9/zsakslgXzF9C7e3cAthkGd/35Mb76v2f5+zlOLmlvY9C7PorSsuj5+WK64WP6eYNIKNjDghtdZCWHbx0h4dIiWePZYS6unl5Gp8aWQwTMp5v8XPmhm0va23j/ihi+2RLgovfdPDzAwfPnSHuFpxd6eWKBl2eHOfnToCNnEpT5DS6Y5mVJtpW+X86m0aDB2AxJ/fRrkmnUFdinwYOaZGq9hcT3nBuxndeBszj0/3U06JXEQ02tGR4kjiVkqdAJ3/RDFobKQsOIEBqhomIWwhaM0GQxrUcxiLXJErHNEJW3E8r8cRPOaiFifA7CwiLSulGVGLGj3CwKmD59OrffcSeFRcXEth+Iq00/HOltsMYkYvi9+PZvx7NrHZ713xIoLeDhhx/miSeewOVyHXnjihqjAnaVeAHkBnkukFlp/odAd+Sm8RNwXTW29RkSfzI2Yt6WoAT4LvNLr59AAPKCIl4uj5U+SFBRuLx5iROLpkn/paletpkCplu3blz32GN88KwIl98PENEQahxZkp5F8y8Wk+j2semis0gs3M2icbFkJVsqCJc5N8TRIEZj+R6xqHRpbGH29SJgKguX7BKDsyeVohuwYFwcWcmWGguXEGV+gwunefk+28o/v5jNqLMHkw48oUlW1yvAaKTa7gzkxnw14eDPX5G4nrEcPvgzmhjxVTEmKxWDOsulnlYxIDQYMYViXkJWiZAlzY4IgpDFIYawAIiM/agsOCq7dSqjRWz3cBaPSGuHKgmmqE0OHjzIW2+9xX9fe53tW7cc8nl8YiJjb7iB3/3ud3Tq1OkEjPD0QYkXJV4AeAG4GQnwjOQl4HpgLXLTGVLN7X2A3DiurDS/yHQpfeuXNgCWAHh16GkHy6fv8dC4isIlRL7bYNhUL7vKYrn8yqt44403KgiXEL/mBRn8ro+UJlk8+e1iviz18eG5Z9GwYDevXuBk3CcesiKES4hyAZNq5a4+DsbNqihcBk1ys6cwyP1nOvj7ua6jFi4hyvwGF03zsizbyv1fzCZm8GDWIx24lwG9kAywQqAb4Sd/J5Iy3h8zGBdTaFQyDYQsH5HiIORuiXTXacj/KaaKKWTtgIoCRses60E4Iyb0PlrlVxvVi+0IzXMe+pUUipOK7Oxs1qxZQ2FhIU6nk44dO9KmTRssFuUgPB4o8aLECyDBuI9y6JPqM8CfETESSpOuDgZSmTcduCDK50EDVgTgKx+s9YN35y6+7JnF8CwLX18fU0G4hMh3G4yY6mXlHl9U4RLi59wg3V8v5eKLL+Xfs2YxYecuZg0+C8+OndgsElg7qsOh/qqQgCnywhUdI4TLOx6yg0lojbLwbF3B44MdPL3Id1jhEtAN/jTXS890K9d1jR7EGylghv64gv4dO/IrYnEpA7ZqMICKN/GdSHxSX0RYRAqN2Ep/h/YacquEXCnRBEcZYvmojEa4fkdV8RyVrR3Ku69QKOoaFbCrAMwAxyjzQ1kXe5GKr9VFA24C/ovEzQyp9LlVg752mXYG4atWGay+cBQLvpzFZ5sCXBpFXKTEaMy/wcnaHBtnNY9+OvqDBo8t8KNZbYwYP557gLWZmfSYvYSmb77IwRXLGT3zOz67RmN4q4rb6NvUyrwb4/hyc4AJZzkqCJfYPldQMO8Nru9mp3UDebLKKzMwDOOQ7IOAbjDmIzcfmllI7oARNY3aF4RiHzgcdhq4nFypSSzLKGA28AQiOEIiowD4H3BFxPwiIBuxrFTGRtXxHBlR5itrh0KhqI8o8XKaEVnjpQRJy60JGhK4+y/kBtm3iuWaW+H2eCtXz5jGxddey5UzZjHjSqIKmESndljhcvVHXj7/TafdxzMpu+ACEoB2XujVrBk3/v1vrDuYx7KsFjz0rZfV4w/dTq8MK70yRMb9a5mXHfkBEs8cRsG8NxjT1cakS11YLRrFXrj7K7FV/OPccGPEgG5w/cduPt4Y4MxmVr7fHb0OTIFHrEgbSlwMnbcAe6tW/BWxgjyGpKzPoKLA+AEYhnRsruxqUT9OhUKhiM5xceS98sorZGVl4XK56NevH8uXLz/s8tOnT6dDhw64XC66du3Kl19+eTyGeVqQj6SVHgsW4H7gW2DdEZZNcdiZ/8E0Lh01iqtmePlko7/a+/EHDa4yhctfPp7J2IsuYiawRIc8HwRd8GNZKc9fPgqb38Mr5x25YsYfz3LQpqGVsuXTubidtVy4ANzV18HL57v41/c+fv+NF8MwyoXLRxsCfHBlDItviuWKjjYM4NbPPLy9SsJlCzwG5071srXExeJ5CzijZ09eQ2q9tAE+Bf4E3IVUPL4aOBPJkrkVyUZqBTRByq4r4aJQKBRVU+fi5YMPPuDBBx/kiSeeYOXKlXTv3p2RI0eSm5sbdfmlS5dy3XXXccstt7Bq1SpGjRrFqFGjWL9+fV0PtV6hE/2fm4PUeDkaq0skNiTF+mNg8xGWtdvtvP9+zQRMyOLy2Wad/jNmsu+Ci/g5CFsNiPVINeCislImnH8eG39YxuzRTgZWYb2JJD3ewuJxMbRMtvDT3iBb8yuGot7V18FL5zv51/c+HvrGW0G4XN7Rjs2iMe3KGK7oKJacWz/z8OIPXs6d6uW3Ehdz5y0guWdPmiHds7eYxylapeN3gRtRbh2FQqGoKXUesNuvXz/69OnDyy+/DICu62RmZnLPPfcwYcKEQ5a/5pprKC0t5fPPPy+fd+aZZ9KjRw9ee+21I+5PBewKxcAbwIOV5i9EbpbpwAqqlyZ9OEqBvwK3IXVLDoff76dbt67s3LqZwj/GYTtM/fe3V/m45VMPrf/2T+IefJBuBqy3wHYdmpbBpcFSPrr0PHYvX8bX1RQukWSX6Ax9p4wir8GCsbG0bShixDAMnljg5ZlFYlGxWSgXLpG4/QatXizhQNBFwO0mJTmRufMW0LNnT14FhiJWln8jVpXK/IxUQB5fo1ErFApF/aUm9+86tbz4fD5WrFjBiBEjwju0WBgxYgTLli2Lus6yZcsqLA8wcuTIKpdXRKeqvkYhy8s+JMDzWIlDmii+jgSZVoVhGDz11FNs3LiJp8+2H1a4AFzWwU6vpg4KnnuG4evXcLUNOliglx+66GUsGXUee44gXPLKdH47GC3JVyww88fGkujUGPJOGZvzghWEiyurJwA3drMfIlz8QYPrZ7o54LFy8dSpvPLKKyxavISePXviQQKh3wL6EV246EhDzGMVjgqFQnG6Uqfi5cCBAwSDQdLS0irMT0tLIzs7+q0uOzu7Rst7vV6KiooqTIqqxUuoNcBeake8gNQmeQCpH3MwyueGYfDYY4/x7LPP8o9znDxURTp0JCkxGnPGOMmKLWPS0CE8s2YN2wLQxA/60kUsXPQd43taqxQuuwp1+r7to+trZczbFi1vRwTM30Y42Vts8OZKf7lwSR4yjrRrniFp4GjeXu3n/xaHy6v5gwbXfuTmk01BRsyYwdWXXcbvfvc7unTpAohlKwfJ8rm5iu/2DVLTJdr/R6FQKBRH5pSvvPPcc8+RlJRUPmVmVq4ne3pSjAR+ViYUsLsXCQ6tLRohbpJ/mfsOcTTCJURIwLSMLWPN0CFYf1zDpQ644/yRXHrPPfzrex+v/3RofdldhTpDJ/vwxDQmvufZXPi+N6qAWb4nyJiP3fRvJm37QsIlqZ+U4Us+azRJA0fz6Dwv/7fYWy5cZm4I8Nirr9H80ksrZFsZwItI+rkdCdStTAniLjqv2kdBoVAoFJWpU/HSqFEjrFYrOTk5Febn5OSQnp4edZ309PQaLf/II49QWFhYPu3atat2Bn+KU0z0J/tQjZdSji1gNxoZSObM35F6JdUVLrphkFMS3b2TEqPx7RgnnWLLWHHhEDI3ruEsTaPrf/7DPffcwx1feCoImJBwCcQ25qsF33HGy1/SsNdQLqokYJbvCTJ8spsyP+R7DP621F9BuISIFDA9/1fKzI0Bzr/gAlqPH48V6VsU4t9AC/N9RcdnmPeBa6gHTw0KhUJxAqnTa6jD4aBXr17MnTu3fJ6u68ydO5f+/ftHXad///4VlgeYM2dOlcs7nU4SExMrTIrobqPIGi91RRbSw+cfwG87d/Lss89yQVtblcLFHzS4crqXzH+XVpmFlBKjMeNyB4HCAp740yM4gCxN48b//Ie+EQJmV6HOEFO4LFj0Hd1aZ5ES66L3C5/Rtu9QLpomAiYkXIKN2pJ0/gP8mm8lechNhwiXEMlnjSahz2X8sl8nNS2dDz/8kFVAJ8KZQp8Da5D4nx+QNOjK7EJaA3Sp3qFUKBQKRRXU+QPggw8+yBtvvME777zDhg0buPPOOyktLeWmm24C4MYbb+SRRx4pX/6+++5j9uzZ/POf/2Tjxo08+eST/PTTT9x99911PdR6RTS3UT6QbH5W21aXSDoAlwDTmzfnz48/zpebAzz/3aFt+fxBg6tnePn8V51+fc+qMo36oNvgio98JCanMOL55wFxu/xV03j9+f+QNVYETO83PQRiRLhkZWUB0NQOXpeL0X//jMFDhnLRNA/D3y3D7TdwtOxNfOchNHtgOkn9rqjy+5Rt+RH3xkWkNmnG0iVL8MfFkY8E5AIsBn5Dsq32A705tLKxAbyDpEYrFAqF4tio81pY11xzDfv37+fxxx8nOzubHj16MHv27PKg3J07d1ZoejVgwADee+89/vznP/OnP/2Jtm3bMmvWrPKASEX1iCZeQsG6tZVpdDh6AG5NY+mTT/IYMOHppwH441ligQkJly8267z0h5nc/PRIRl93LVfNmMX0iEq8B90GQ6d42eWJY8GChUzv2hUvYlnyAp/u0xjwh//QvMzOrpWfM+/br8uFC0CWC9aXQaHVxXsffca1117JL3lFNOrejR3/+y9lmxYT3/18Ytv0xZqYWl5VN+guwrNjLSVrZuPZvpq2Z57HnOlv0aJZBvPMbXcHViNNFXsiTwLfIMHLlfkBKUKXWmtHWKFQKE5fVGPGespzSI2XSGfNIsQCEIp7Ofs4jGMusMkwyH7ySZ55+mn+OtzJg/0dYnHZrPPcdTO5/a8XkdBU6sCMvu5aPpk1i+lXOhnUwsbQKV62euJYMn8h3bp1ZRFiQfoJaFYAr3ph9EZIi4Xre4G1ki1x9gF4YTe098O97eBdH6x0wm1xMGXZcla98De2fTILPRjEGpuA1ZVI0O8hWJwHQErv/nQccz9jh1zF+B4ibP4PEU7XIzEsE8x51wHzkPYJkfiAJ5G+RjXvVa1QKBSnB6oxowIvh94oc5B4i9WIa+N4MBwo0zRin3ySCcUw4YWnmbIuwMY8jeeum8n5w0W4gFTife/9aeUWmOYpfnYHE/hwrggXgIFITM2YAHyQB64YsBgwot2hwgWgkxn4U2qBj/Lg5wToHQMbdRh9Zl+6fTSDO/bv5/kffmD3kjUc/LWQ7ekuLknrxNAxfXgxtjWtDkC6S7ajIy6i4UiF3AlI5lYa8DXSYLEys5Au3Eq4KBQKRe2gxMtpRC5yk63tNOkjcTEwTdNocs2T3LwKpi75G49dN52z2l9Ek0qRrXa7nRfen8aP149h97x5dP50PoO6h0u9lSAn7bIDUGxAViGktICmSdH33dQBTiscCEJJMdibQVcNfjVglBXWA1sbN6b1RRdxa/eLWLAWvmgDI0uhuAW4syHFA2kNZXu/Ii65FcCfkSJ9U4EBwBdA00r7zwM2AlcdywFUKBQKRQVUxuZpxEGkxktdpEkfiVFFkHNAo/P4p3jlT4Wc2/4iXCmQ0u7QZT+w22k89QMu+GUvF3TvylRP+LN3gTuL4QMX9M6G7sVw8DB9CawapFhERJQCt1thfhDutoGmSfbPV0h7A7cX/Baw6RDjhA1+MDSIC0BanGxvEbAN+APQALFw7UEESrTaLap/kUKhUNQ+SrzUQ6oKYgrFupwIcpbDRatgUwrktpLuz+l9Qat0Bm5HglsTfRoXxTu4OxZW+GFdADYBmgGfZkOrAtgfC6NagM9asTBeJAFDrDU+C2T6YLof7rVDgia1aH4E7kWsOW4flNkh1g+xDtjmB4cuxywtVoTKG4jbKmS5WoJUy12HBO1GsgFwIenjCoVCoag9lHiph3iRm2YkoRovdZ0mHY2AF3JXiQg48yfYmwGbsqBx90OXnQxsDUCTAFzuhDQrXOKEd9zwjgFt9sIqOwzbCfsyoH2qxJ/MO3RTAMwqhmI72DTYr8MwHdpZ5Hi8jGQMNTCXLfOIeInzi+XlYADi/ZDoALtdgnIbImngIRYhx3UgFYWhAbyHBPUqFAqFonZR4qUeUsShadIFSA+i2uxpVF32r4agV1w0ScA1P8DPA+AXR8XlNgA/GRJjcpkDks2z80In7AS0UvifB3rnQCwwsgGs1aAPYkGpbHFa74XPysCeIpYVvwV6msV4pyPBy40jli+LsLxoTsgPQrJXXEavIC0QGgOtzeV3mH8vQbpIR/ItUgdG9S9SKBSK2keJl3pItOq6oWDd41HjJRIjCNnLw2NIBewWeKwxfAxsDi2HFHHbFYAsAy6ISM3xaNAwBhYVQjAIjdxwZnO41gGfIQXhOgI/R+y3IAhvFUB2AtySBH4gzgK5bgm2zQHOrzRWtxdKTfGy3wneAKR4YWMctAcOAN0IW1i+BtoiLQIiLV2lSIPGyttXKBQKRe2gxEs9JFqBuhzC3aSPZ6bRwY3gLZT4EgdiAWnUGRISpJT+u4hVZSWwyoBGHrjGCTERPpjJwBWFYrkxApASC72bi0DLQGJhRiIF4gAMAyYWwq8OuMoJcwxIt4LbAlvK4BPgdkSEWJD0ZxDx4jbdRtuBoAYeLzSIg3ORTKNQbRwfUu5/LXBhpe88DbiaQ6vsKhQKhaJ2UOKlHhKtKWNkmvTxsrwYBuz7Qd7nAKHWmk3MuvpxiIB5DfgvsN8HnTUYYg9vYzMQCML0POi3H/IdkNYGbOaZOwqpo9IIERSFwOxSWBqA1nGwS4dLbdDCDmUafOuWAN2Qx8oGBABdB48/bHnZCvh1MHQYE2eOA4mRAXEVdUUsRpGup91IVle3Yzt0CoVCoTgMSrzUQ6K5jUKWlzJENBwPindByV4RFTpSpC2pJcSmhZdJQrJ1vjUgxQdjnBJcCyIMpgCpu2CnHdoXwPkafG0Djxng0hAJQN6BdHKe4ofpJeBNhF4WSNZgpAWaO8Wdk+SBhhHBMSHx4jZjYTw2sVqt0OWDdlZIckgLgEzCheYWIkLpoojvaxBOjVYoFApF3aHESz0kmtvoIOGsmuPFvu/lNWT1AQ4pShdA3DhJXvA5oV1E2cQ5QIcSmKJDn30QY4N7MiHBAjMj+jxejsTPdNBhqg92xMNYO6zU4Q6znktxjLhxggbkR6xbLl7MeQbgdcA2HVqZwbqaJs0XR5jr7EIaXO5GmlCG+AlpzhihzRQKhUJRByjxUg+J5jYykHonxytN2n0QCjaLxaXM3G9sKiS1qrjct8AvutRgecoC/9DAjXyHRQZs2CPZR0k+OLsNJDjgJhfM9sKuoGyjCaAb8EqRWGTOcMKcADxok9iZ1YCRIFaTUgvsd4f3X9nyEgA2O8CpQwNTvBQiwbp9zXW+RsThUMLBu37EfXVlLR0/hUKhUFSNEi/1kMqp0qHidMcz3iX7B4l52Y/EowCk9xMrRggvUlo/6IVzbDDMJs0N/w5MAnrshaUu6LofmiVBZ9Ok0cYGgx0w0S37AGjqgQ+t0NkOKzW4ygYtLGL1+Qj4YwzYNSjVILcsPIaQeCnzimgqBNrEiuhK9kpxuhWIpSUUV7MdiYk5K+L7fooEDVeur6NQKBSK2keJl3pIKRXjWkL1VY6XePG7Yf8aeZ+PtCSwx0uWUSSfARuC0MQvGUYgKc89gdkB+KgMuu2X4NoR7SsKn2ucsFeHxX7Y64f5hVDsgjMsUj23h0XE0UvAPUCMBVKtUGKB3NLwdkLiJc8Lm+yQ4YeD5lgSfWJ5+ZqwUFmKBB53JdwY7CBSYXfQMR43hUKhUFQP1ZixHlK5DUAO4RovfY7D/nNXgB4I91LSgPTeYIk420qBDwC7By61QxNreOwrgA77YHYy9NoDfVtAw9iK+4i3wGgXTPGIe+e3OLhZg9nA0xaYo0E20uU51VynqR32BmBnRK8kG+JOm+WFhnbw+WFfPDiCEjjcMEZSsW81l19ojvGGiLFMQfUvUigUiuOJsrycBoSKwx0Py4vuh+wf5f0BxNVisUFqr4rLTQc2B6B5UNoAhJgLZB2EdUHokw1rWkDfKhovDrJDoR/majDUBduC0NUCnTSYCTQDekQs3zJGXnf7IKiH57+GVN4NmmnSuxwSY9M4FraarQTaIAG6FiTwOdTEehMSCFwplEehUCgUdYgSL6cBIcvL8UiTPvAz+EvFmhGD3Ngbdwd7THiZfOAjA+I8cK0TksyzsATp+Lw6BzKLoWsenN0IplVR7W2FR6rglllhTwBG2+A6C7xu7ruy5ulgWm+KgTyPxLXMAQYACd5wa4BcOzR2S7zLPKAzYlX5Glkn1NvIQGJ2VP8ihUKhOL4o8VLPCHCoLzBkealrKhelS0PiVEJF6UJMBrb7oYMB50f0N3oPaL0Tfo6BDnnQMQ1uTQA7EnQbSV4AJhVBSQKcaYc9PjjLIoJlFvAUhzZr7GSmYJWYbQL+h5T374QE7JbZweGFUmu4p9EipJaLD6mwqxHuEj0P6E3YCqNQKBSK44MSL/WMaF2jDyICoK6bBBZuAfd+CZS1IIG2ye3AFVFgJhv43JA4lTFOcJmBIluBglL4LAi9cqSmyxCzA+I1SGPJ2eY2Agb8rwA2xMCVdki0Q3MNvvJJgO7vgTXm/vdHjC/FKcG8pRp8WiaBtz0I13kptYPPAN0iPY3i4+TYnQF8jxzDkea2yhDxckFtHTyFQqFQVBslXuoZ0QrU6YhoqOueRiGrSzZVF6V7G9jrg54anG22ATCAdwzw7QRrUFw2g1tBrGmV0YCbkRL9i4DPSiTrp68LVunwsB1ujIF/eGGoLm6dH4BhhPsdhUi3QaEGBWXSWsAOeA2p8+K2Q4FNXF0xQdgWC02R9Od5iCgLBTx/AFyFinhXKBSKE4ESL/WME1XjpTQHCreJFcMHxALxGZDQLLzMduBrHRp54QYnWE2ry3wgLRsWxMIZOZCRCF0rKS0NuAv4NAD/84EjXgrDjbVBEwscsEGWFdZ75KQegrjLNiBjCuFwQhBIMAvV2YAyv7wPapDvEuGS7ITZNrG07EHSzQch295jbrvHMR81hUKhUBwNSrzUMyr3NSri+NR4yTatLpHxNU3OrFib5XXgoA+GWOEM02RRCnzrgxUF0O4gxBhwTruK64UoCYIvDzYliFDpZIEBVhEo6zV4PgZW+mFdQKrfLgJ6AWbyE2uAshgJ5t0XAF9QrCwh8QKQnSidrdPiJMZlKBKoGyDcHkD1L1IoFIoTixIv9YzKrQFCDRn3UnduI1+xZBkZ5v6TAGcSNGgfXmYDsECHNB9c7wyLk/eBRtthrwtaFUKvTGgUpYeBYcDbhbDeBbcB31vgTKvEpEwB7gbSLHCpEya5pV1AHyS7ah7wG5I+/bs4seKUanDALW6jUr+MHR0OxkFaGehx4i5KRnoWdUWsSSsQV1Jdu+AUCoVCUTVKvNQzKse8hJoiuqm7NOnsH8EIQh7h5o/pfUGLKDz3MlDqhYttUt4fxI20Lx/m2qTxYpIL+reIvo85pTBfh84u2G7AZAtM1eAZ4HeIsAC40Cni5AuvuHwWI+6ll5FA3nZx4ioqNTOObEBpAHxWyTTyOiSY+Jc4OBMJ1PUDFyPWl4+Bq2vpuCkUCoXi6FDipZ5R2W2UAzSuw/0FfZC7Ut7nAQ0BmwtSe4SXWQl8H4RmfrjGbP5jAO/oULQXks3GiyPagj1KTZdtPphaCsE4iZO51QatNNlXPhWDZu0ajIuBT71QGIQWwFokJToecNmhgZlxlF0ajnkptYPVC0GrdLheHSuBv18CmYil5TPEdaT6FykUCsWJRYmXekZlt1EuYnGpqzTp/ash4JGA1gTkhGrcE6xm1VwDeBEIeuAaB6SbZ9wiIHYXrIqX/kXtGkPLhoduv0yH1wtgW7y4iXpaoI9VisulIU0cX0TcRyG62KCXHd7wwCZDqt9mEw7cbeqQDKztbol5cfulxovPAIcOLisUO8T9tRvJSipAYmaG1MZBUygUCsUxocRLPaOy2ygP8FA3wbqGHm4FEArU1SyQHtFAaRGwKgCtg3CZmfpcBnxZBj95RLjEWmBomyjbN2BqIfzogOF2cX2NsUog7U/AaMSq9Dvgn8h3D3GVC74IwoCAVMhtiriAALJMYbXdIzEvZUERLyU2qbBbFgftNPgKsdZ0RQrrjUH1L1IoFIqTASVe6hmVK+yGarzUhXjJ/xU8+SIqHOZ+G3YCZ2J4LC8Z0nzxBickmmfb+wbEbJey/k1LYFAriHceuv0lbvgqAM1dsM+AB+zi7nkHuJewkGgK3IJYYdxIKvQkC4xzwjw3jDTEfTbfXL6tGSBzQAd/AMoCUGqTYN3GZbA1Fi40l78MCfYFcT0pFAqF4sSjxEs9JrLGS11kx+wzTRlVFaWbDfzshy4RbQB2ATtyYGks9M2G9AToFkVZ7Q3AxGIoiYM4DW63Q7IG/wHGc2jwcSvgOuBvyDJnAbc6RDAt8IiFRkdqtHSIl+NSokGRB9wBCeAtioOMUsiOAycivs5G+hfdgEKhUChOFpR4qceECtbVhXgp3i2THxEFLiAxC+LS5XMv8IoB8V64yQlOTcTU237IzYNmxRAXlJoulkq+GJ8Br+fDpjjoY5NaLj0tMAmpmltFQhIdzdd1QD8kuPcmF3ztg35BGdNsIDUWYg2x4hR6wB0EtwE+O8SabQFmAecglXy7IynTCoVCoTg5UOKlHhGytISoyzTpkNUlVEcGKjZg/AjY6oP+Ggwy2wB8BxjbYEscdMyDXs0gNUok8Ywi+M4G/e0SUHuNVVw4dsSiUhUzgfZIHZiXkePRxgaDHfC5Gxoa8DNgWKCxFXxmxpE3KFPACmUG9I6BHUjfom+RNGmFQqFQnDwo8VKPKCVc7wTqLk3akw/5m8TiUoZkGcU0gmQz6LYE+J8u9VJuMtsAeIBPC2CVJo0XE53QP+vQba/0wMc+aOyS7dxvhx0aLOHwrpt5iFi7BhgAdEG6RhtIena2Dpl+aV2wBMgMubFKIaCJVcYRlLiXgCadpr8FLkf1L1IoFIqTDXVdrkdEK1CXwaGNGo+V7OWSCbQfaGTOa9IvXDV3MtJ88Tor9DDPsPd00HeBzSmNF4d3AUelmi55QXijCA7EQ0cL/M4ONg3eAiZQtdL+Eakl8yBhy9MIRFhNAW7Q4DoXvOeBxjaY8vM6cl56hx+Wf8/8LesJej1oMXE4O3Tl514DKXrwJv7Spg2LUW0AFAqF4mREWV7qEZWbMuYg1pHajHcJuGH/GnmfD6QA9jho1EXmHUSKz6X54EaXCJrdwK+7YE0i9MqGNo1kiiRowBsFsCYGellhmNm76EUkk6iqOjUbkN5D93HoyXwJos4/RlxXMdu38N6Ic3i7Wze+mTYRv9dC3BmXknT2OOK7nQ8Ffra/8xIL27bljssv57x9+47xaCkUCoWiLlCWl3pE5eq6eYj1oTbTpHNXSVXdkHDRgLReYDHjWl4H8j3wOxu0torb5k037C6Fdl6I12BYlJoun5fAXA162CFJgyus0gBxEJJJFI0dwHvAn5B4mGhci1huHpn2Pq/eciu6K4lGlzxMbLsBaNZDT3/d76Vsw0I2fTuZIR078cG09znvvPOqfXwUCoVCUfcoy0s9orLbSEesL7UlXvRguChdyGVksYl4AdgHTA9Cs0C4DcBSA0q3Ql6MNF4cmAUJlerrb/TCVDfExAAa3GeHpVo4VTkauUhMy++RLtFVoQHOKVN4fvRobK36kT7uReI6Do4qXAAsdifx3c4l/aZXCDRuy8UXX8Ls2bOPcGQUCoVCcTxR4qUeEdkaoC5qvOT9LB2kSxDBYAUadRO3EcB/DCjzwFizDYAH+DgXfo6Rxotp8dCzaaUxB+HVAtgbL12h77ZDviYBuDdVMY5CpJbLfUgJ/8OxYcMGbrnlVuK7DKfhhQ9gcRxO6oSxxiTSaNSjOLJ6cM2117FPuZAUCoXipEGJl3pEpNsoJGTcVMxAOloMo2J6dHlRur7yug34LAhtI9oAvB+AkmxIMRsvntMOLJaK25xYCMtjoJsVLrBCcwu8gQiTKD0a8SCtAG4jnKJd9ZgNbrr5FqyJjUk593doWs1Od81qo8EFD+DRNe66++4aratQKBSKukOJl3pEpNsosv5KbVC0DcpyJaVYQ9oBpLSVFGmAvxqAB25zQoJFLD5rt8GWZOlf1LMppFdKe/q2TLo2t3VApgUuscJLwDiiW1QCwD+QSrpZ1RjzsmXL+OH7ZSQOuQWLPUr/gWpgjUkkfuANzJo5ky1bthzVNhQKhUJRuyjxUo+IFC+5SFPB2kqT3veDvGYDZhHd8qJ0PwPz/dDDgPMc4rJ6vQh2BqHrfkiyw8CWFbe33Q+TykB3QYIGd9vgfQ36Er2HUKg79UjClXSPxNtvv42rQRNcrXrV5KseQlynwdhi4pk0adIxbUehUCgUtYMSL/UIN9KTB0S8QO0E65bth4ItYvnwIW6ouHRIaCGi4hkDnF643QkODZbpcGCblNtvVgLD2oIzIj7Wo8Or+bAlFppaJUD3Z01iaYZH2b+BuJK6A32ifF4Vi79biq1Fzxq7iypjsbuwN+vCkiVLj2k7CoVCoagdlHipZ4SKtOUgfYdqQ7yErC77CVfsbXKm1HBZDvzog0EanGUXt9KHe+DXJAnSbdUQ2laq6TK1CBa7oKNVUqJjLNJz6NYq9v8hktkUTdhUhc/n47fNm3CkVpVoXTPsqa1YvXZtrWxLoVAoFMeGEi/1lANIu4BjzTTylcCBdWL9KEIaFDoSoUFHmfekDoleuN0lDRaneuBAPmQWQ5IuVpdQ5V2AZWXwURAy7NDJCkOt8BoSoBsteXm2+T0ur+G43W43uq5jcdZOVyeLM5ay0tJa2ZZCoVAojo06FS8HDx5kzJgxJCYmkpyczC233EJJSclh1xkyZAiaplWY7rjjjrocZr2ktmq85PwERlAK3jUw56X3BYtVev9s8sGFVskW2mvAT1sgO1EaLw7IgqSImi7ZAXi9BEpiJJX6Thu8rEnPopQo+14KbKLqlOnD4XLJjnWf+yjWPhTD58EVU700a4VCoVDULXVaYXfMmDHs27ePOXPm4Pf7uemmmxg/fjzvvffeYde77bbbePrpp8v/jo2tjWTf+o2XcLxLqMaLm8MXcDsSQT/krJD3eUggrdUBqT0k/uVpHRr64OY4sa68uh92OqTxYmocnNEsvC2/IfVcfomF9lZ40A6faxLH0iHKvtcCC4E/ULFTdnVxOp1ktWpD3v5tR7H2ofhyt9Kzc+da2ZZCoVAojo06s7xs2LCB2bNn8+abb9KvXz/OOussXnrpJaZNm8bevXsPu25sbCzp6enlU2JibbcWrH9EFqgrQTKNjpUDa6SXUaG5bQuQ2hNsLpgF7PbAGBu0ssKSAOzZDU4DUt1S08UacXZ9VAzf2mXZMTbIs4ggGhllv1uQfkQPcmzqetDA/vh3rsYwjGPYChhBP4E9PzNwQP9j2o5CoVAoaoc6Ey/Lli0jOTmZ3r17l88bMWIEFouFH3744bDrTp06lUaNGtGlSxceeeQRysrKqlzW6/VSVFRUYTodiWzKmIOIjWORfIYB+5bL+1ykZoxmgfQ+UijuuSA0DcBol2Qgvb8NdjQQq0u3DMiIKNSyxgNTfZIy3c8GXS3wOTCeQ60q+4CJSNn/o6vMEmbcuHF49u/Cu3PdMW2nbNNSfCUFjB079hhHpFAoFIraoM7ES3Z2NqmpFcuk2Ww2GjRoQHZ2dpXrjR49milTpjB//nweeeQRJk+ezPXXX1/l8s899xxJSUnlU2ZmZq19h1OJyOq6ucg/9ljiXfI3g+eguJ7siAWkQQdwJsNkQ5ovjndAqgXeLYJsL7TLhxQLDIpI8DkYhFeK4UCsNGocZ4NXNbiHQ5spHgReBh6gdixHQ4cOpWu37hQteAsjGDiqbejeMoq/e5dzzh1Jp06damFUCoVCoThWaixeJkyYcEhAbeVp48aNRz2g8ePHM3LkSLp27cqYMWN49913mXmY6qaPPPIIhYWF5dOuXbuOet+nMpWr6+ocm3gJtQKoUJTuTHFJ/TsgbQAud8A+HZZtheI4aF0AQ9uAy/T16Ab8rwBWxECWBR6yw1uadHqulD1NKfAv4HdAw2MYdySapjHx7bfw7t9O/oKJNXYfGYZO/jf/xeIt4fXXXq2lUSkUCoXiWKlxSMFDDz3EuHHjDrtMq1atSE9PJzc3t8L8QCDAwYMHSU9Pr2LNQ+nXT8q4/vbbb7Ru3fqQz51OJ07nsToYTn2KCQuCXCSg9mjFS8leKN4pdWKCgAtIaA7xGfCcAR4v3OWEeAs8txt2J0DfbMhKgfYRxrYvS+ALK2Ra4VY7rLBAe6BLpf35kH5FY4FKfRuPmV69evHvF17g3nvvBSBlyDg0a2Wbz6Hofg/5X79C6YaFvP/++7Rs2fKI6ygUCoXi+FBj8dK4cWMaN258xOX69+9PQUEBK1asoFcvKc8+b948dF0vFyTVYfXq1QA0aVJbvZHrJ0VA6PZ6AGlqeLRHLGoDxjPFrTPRDz3NNgDfeWDrAWjohEZ+GN4uXNPlVy+86QV7LIywQQMLrAfurbSvIPACcAnR2wLUBvfccw8A9z/wAIHd60gccivO5l3RtEPzmAw9iHvrTxTNfwuj9CBTp07lmmuuqaORKRQKheJoqLNU6Y4dO3Leeedx22238dprr+H3+7n77ru59tprycgQm8CePXsYPnw47777Ln379mXLli289957XHDBBTRs2JC1a9fywAMPMHjwYLp161ZXQ60XRLqNguZ0NGnS3gI4uFHcTmVAM8DVQJowPmQAXrjPKSJlyhbISYGR26FfFqSYOyzR4aUi2B0L/a1wiQ3e0OAxKgboGsCrwECgx1GMtSbcc889DBw4kHE338K6aX/C1bg59syu2Bu3xOKIQfeW4svZin/narz52Qw8axBvvzWfdu3a1fHIFAqFQlFT6rTOy9SpU7n77rsZPnw4FouFK664ghdffLH8c7/fz6ZNm8qziRwOB99++y3//ve/KS0tJTMzkyuuuII///nPdTnMekEoVfrYkoIh+0cwdGkFEHJDNekL+zSY5YVhGgy0wxsHYI8Fuu+H1BjoY8ZJGwZMLIQlLgnQvd8uwuUepBN1JJMRa9FZxzjm6nLGGWewZtVKFi5cyKRJk1iy9Hu2rPoSwzCwWCy069CRwVddwi233EKfPn2iWmYUCoVCceKpU/HSoEGDwxaky8rKqhBEmZmZycKFC+tySPWWUG2XEuSfejRl/QIeyF0l7/OR+BRbDDTqDrfo0nzx3lgJ0l2yA4xkaJYD5/QI13SZXwYzNEi1wl12+NQCVyGp1pF8gri2LjyKcR4LmqYxZMgQhgwZAoiA9ng8uFwu7PYjx8IoFAqF4sSjehvVE3Tkn5mLiJejCdbNXQ1BnwiXZMTFk9YLttthvg8usUI3G7y4HXY3gL77oEs6NEuW9Xf64VU3+B0wyg6FVsgCKjv85gN7gdFHMcbaxm63k5CQoISLQqFQnEIo8VLPyDFfaype9CBkm0XpQt2jNSuk9YYHdEj0wZ0uWFACm0ugRQk00mCwmQDm1eHFQtgcA72t0NcmlXJHVdrPCuAn4HaOruy/QqFQKBRKvNQzcpEU55qKl4MbwFckbqcYxKXTqCv8Eg+rPTDWDk0sMOU3KEyCTnlwdmuIMQ0WU4tgrhNaWuB2B3ysSc2WSIGyEfgSuB914ikUCoXi6FH3kHpAkPA/Mhcp31+TNGnDiJ4end4P7g1AagDGOuGNvbAzDnrnQItk6GQu+L1bqu4mW+F+B3ygwV1IfZgQu4CpwEMcWllXoVAoFIqaoMRLPaCEcGuA/cg/tSZp0sU7oDRbOlNrSFZQcmtY3gi2eeEuB5T5YfE+iDcg3QMjzJouuQH4TykUOWGMHdZY4VIqiqf9wGtIvyLVH1yhUCgUx4oSL/WAyL5GAcTlUxP2mX0ycwi3AkjvBw8FICsIVznhxd8gp7FYXfo1hwaxEDDgpUJY74IBVki1yfq9Ko3t30hxuohejQqFQqFQHDVKvNQDQgXqDKTUfk1EgvuANGEMIu6mWCA2Fb7NggNe+IMTvjsImwzomA/pDujbXNb9qBg+t0MLK1zjgI2apEWH8CBl/28j7IpSKBQKheJYUeKlHlCEiJdSat7TaJ+ZYZRLuBZL6pnwWAC6GnC2Fd7fBj6z8eKIdmCzwnovvBGAGBs84ICvzEJ0oQDdACJcrkbSpRUKhUKhqC2UeKkHhKrr5lKznkb+UjiwViw2hUhtF0cCfNwJyrzwiBMm7oSdKdAvWwJ0m6dAQRD+WQy5TrjJDoutklkUirMxgBeBEUDn2vyiCoVCoVCgxEu9IBTzkoO4f6preclZAXoA8oCG5rwGfeCfQThLgzQvLCyAdB+kB2FIa9AN+G8BfO+CwVbw2uACwt2gDeBNoCtQ/fabCoVCoVBUHyVe6gGhmJdcJOalOpYX3S/iBcLixeqAST1A98IfnfDSb3CwIfTIlWJ0sQ74shSm26GFBYY4oYEGfSO2Ox1IAc6pxe+nUCgUCkUkSrzUAyItLzaqlyZ9YL24jULrWoCE7jBRkzYA2w/ABhf0PAAtEqUNwG8+eNkHFivc7oLfNLguYptfI0Lqilr+fgqFQqFQRKLESz0gFPOyn+rVUTGMiunRqUjNlpf6gcMP463wwW6wO6QNwDntoMyAfxTBDifc5oCfLBUDdJcBG4CbUWX/FQqFQlG3KPFSD/AjheVKgQbVWL7gN0mRdiPVbm2Asz184pAA3C+2wc5GcGY29MmUmi5vFcJ8Fwy1wj4b3AHEmdtbhzRbvBslXBQKhUJR9yjxUo8ooXrBuiGrSzbhonR/OwuSAjDYDQu90LoUMqxwZgtYVAaTLJBpgXZOGKlBprneVuAj4EFEBCkUCoVCUdco8VJPKKV6DRlLs6FouywbRPoPBZvBggS41wbvbYGSZOh8AIa3g2wd/uaFgA2uMwN0B5jb2ge8hfQrckXdm0KhUCgUtY8SL6c4hvmaY74/UqZRtAaMfx0GGTrE5MAvSXBmLnRMhYxk+HsR/OqAsQ7ItsL15jr5wMvAA4RbEygUCoVCcTxQ4uUUpwwJ0s3lyNV1vUWQ9wvoiKUmAShsCCtS4B4DPjsgheoyfTC0NUwthq8cUs8lzyb9iSzmuv8C7gQa1eF3UygUCoUiGkq8nOKEMo1ykKDdw7lvsn8EQ4cDQGNz3l/PhbbAti2wpzH0yYFBLeEXHf4LpFsh3QW3abIfH1L2/wagWZ19K4VCoVAoqkaJl1OcUIG6HMLZP9EIemH/Knl/ECkktycRfm0MY0phqR26FkDLOMhIhWfLoMwG55oBui0Ri82/gYuBdnX3lRQKhUKhOCxKvJzihJoy7uLwLqPc1RDwSKxKMpLS/I/z4QwNlm+HQBy0K4ShbeGfRbDGCZfbJeNoMBJP8ypwJtCzLr+QQqFQKBRHQImXU5xQhdx8wunLlTGCkG12j96PuIw2JMHuxjAgGzY0hoHZ0LsZLDbgIwf0t4LDDmPNbUwBmiNCRqFQKBSKE4kSL6c4oZiXUqrONDq4CbyFUgcmBuk8/dJ5MMiAH4qgqQ+aa5DcBP6uQ0MLNHXBfZos+xliqbn4eHwhhUKhUCiOgBIvpzjFSHE4L9HdRoZxaHr0skZwsAE03g45jaBXLvRrBX9xQ4Ed+rvgdg2SgIXATmDM8fgyCoVCoVBUAyVeTnGKEOESJLrlpXg3lOyVZTSkHcDbw2GwF9a4oO8B6NAQZtnhRxcMt8PFVmgDrAB+QFKiVdl/hUKhUJwsKPFyilOM1HpxEj1NurLV5atM8CRBYI80XmxdBsEMmGyHbhboaYdhwCbgC+B+1EmiUCgUipMLdV86xSkDCoieJu0+CAW/ilXGgwic6QOhbxFsaQSDsqFNJvzNCvEadHXBLZpkLk0Bfo/UjlEoFAqF4mRCiZd6wA6ix7tk/yAxL7lAKjCtPWgxkFcK7Uoh0wlTE6Tsfz8X/F4TIfQa0q8o9vh9BYVCoVAoqo0SL/WA7UiV3Ej8bti/RuqzFAJODeacAR3yoCgJuuZBdhNY5IK+DnjAKoG//wbuQWrBKBQKhUJxMqLESz3gIFKDJZLcFaAH5LOGwFs9JU062wUDcyGpEbydBK0tcLMdWgD/AG4B0o/v8BUKhUKhqBFKvJzC+JDsoRIqZhrpAcj+Sd4fAKw2+KEDNC2AZA0y/PBuOtg0uNQJIzRptHgV0gZAoVAoFIqTGSVeTmGKkYBaDxXFy4GfwV8iadTxwGt9oUEZ5DSE/vtgTRPY6YJhLrjLAi8jGUZdjv9XUCgUCoWixijxcgpTjNRfcRFOkzYMCdQFCdT1xcIvWZDghh4F4I6BOanQwwFPWeFdoBPSs0ihUCgUilMBJV5OYYoAPxXTpAu3QlkuuJEA3Df6Q8Z+cDeCZgXwURtIt8HzdliAVNE997iPXKFQKBSKo0eJl1OYYkTARAbYRhaly0+BnakSFzNwHyxqDn4n/MkBe5C06CuP75AVCoVCoThmlHg5hSkC8pBS/gBlOVC4TawxAWBSf2i9HRISINsCG9LgGidkWGA9klmkyv4rFAqF4lRDiZdTmGJEvHQw/94XEeuyJQPy48Fug2bZMK8D9LLD1VaYj9RyUcJFoVAoFKciSrycwhQh7QGaA75iyTLSEVHzUV/ovBEau2BBK0h2wZMOmAU8iMTDKBQKhUJxKqLuYacwxUiadDpS18UISl2XFa0hYPYr2m2F/FR4wwEzgQlEb+CoUCgUCsWpgrK8nMLkIerT7oPclTIvV4Nve0LP1eBLgLVt4V4HLLHAA0DCiRuuQqFQKBS1ghIvpzDFiBjZvwYCbsgH5ncWMdPQC8vaw5kuKLbBHUCjEztchUKhUChqBSVeTkEMw8Dj8ZAXCJCmQ/Zymb/DCsu7wIDv5TU2Ebo74QYg84SOWKFQKBSK2qPOxMuzzz7LgAEDiI2NJTk5uVrrGIbB448/TpMmTYiJiWHEiBFs3ry5roZ4SrF582b++Mc/0qdvP1wxscTExDDVbufDFm14+PXRzN30BZ91D5KUD44AbGsLl7rgUqD9iR68QqFQKBS1SJ2JF5/Px1VXXcWdd95Z7XX+9re/8eKLL/Laa6/xww8/EBcXx8iRI/F4PHU1zJOe3Nxcrrr6atq1a8cLr7zOhtJY4gaMoeGFD9Jg5N340zqxOOcH/jzlIr65swMtJ85n3hC4wAXnW6HXif4CCoVCoVDUMpphGEZd7mDSpEncf//9FBQUHHY5wzDIyMjgoYce4ve//z0AhYWFpKWlMWnSJK699tpq7a+oqIikpCQKCwtJTEw81uGfUL777jsuuXQUJd4ACYPGEt95CJrNcchyhmHg2/cr+Qsm4t21nmYPPMLL/3yWSzVVyUWhUCgUpwY1uX+fNDEv27ZtIzs7mxEjRpTPS0pKol+/fixbtuwEjuzEsGzZMs45dyTehKak3fQKCd3PjSpcADRNw5nRnrTr/o/kIePY/cJzLP7DH47ziBUKhUKhOD6cNHVesrOzAUhLS6swPy0trfyzaHi9Xrxeb/nfRUVFdTPA40hRURFXXnU1WqMsGl7xBBa7s1rraZqFpH5Xolnt/POf/+Tss8/m4osvruPRKhQKhUJxfKmR5WXChAlomnbYaePGjXU11qg899xzJCUllU+Zmad+Xs2jjz5K7oGDNLjwoWoLl0gSel1CXJs+3HLrbZSVldXBCBUKhUKhOHHUSLw89NBDbNiw4bBTq1atjmog6enSGzknJ6fC/JycnPLPovHII49QWFhYPu3ateuo9n+yUFBQwBtvvkVcn8uwJaUdeYUoaJpG0vDb2b8/l2nTptXyCBUKhUKhOLHUyG3UuHFjGjduXCcDadmyJenp6cydO5cePXoA4j754YcfDpux5HQ6cTprbp04WZk+fTo+n4/G3c87pu3Yk9OJbdWLN996m5tvvrmWRqdQKBQKxYmnzgJ2d+7cyerVq9m5cyfBYJDVq1ezevVqSkpKypfp0KEDM2fOBMRacP/99/OXv/yFTz/9lHXr1nHjjTeSkZHBqFGj6mqYJx3ff/89MWktscanHPO2nC16smLFCgKBQC2MTKFQKBSKk4M6C9h9/PHHeeedd8r/7tmzJwDz589nyJAhAGzatInCwsLyZR5++GFKS0sZP348BQUFnHXWWcyePRuX6/RpJbh67Tq0hlm1si1HakvyvR62bNlC+/aqVJ1CoVAo6gd1XufleHOq13np0Kkze2Nb02DE7ce8Le++zWS/+wArV64sF48KhUKhUJyMnJJ1XhRCfHw8ure0VrYV2k5cXFytbE+hUCgUipMBJV5OMnp274Z+YHutbMufuxWnK4bWrVvXyvYUCoVCoTgZUOLlJKN///54crYTKDpwzNvybl9Fnz59sFqttTAyhUKhUChODpR4Ocm48soriYmNoWT1V8e0HX/ebsq2reK2W2+ppZEpFAqFQnFyoMTLSUZiYiJ33nEHJStm4T+456i2YRgGBd++RkbTZlx99dW1PEKFQqFQKE4sSrychDz11FM0y8gg/4t/oHtrXt6/6PvplG1fzcS33zqt0swVCoVCcXqgxMtJSFxcHB9/NANLcTYHZjxe7fgXQw9SsHgKBYve5fHHH+fcc8+t45EqFAqFQnH8UeLlJOWMM85gwbx5JAYKyZl4F0U/fVKlFcYwDNzbV7N/6h8o/v5Dnn32WZ588snjO2CFQqFQKI4TdVZhV3Hs9O7dmw2//MxDDz3EO+++TfF3U3E074Y9rTXW2CSMgA/f/h0E9/6CJ28Pnbt05a2Pl9KvX78TPXSFQqFQKOoMVWH3FGH37t28/fbbLFi4kFWrVlNUVIjd7qBtu3b079eXMWPGMHjwYDRNO9FDVSgUCoWixtTk/q3Ei0KhUCgUihOOag+gUCgUCoWi3qLEi0KhUCgUilMKJV4UCoVCoVCcUijxolAoFAqF4pSi3qVKh+KPi4qKTvBIFAqFQqFQVJfQfbs6eUT1TrwUFxcDkJmZeYJHolAoFAqFoqYUFxeTlJR02GXqXaq0ruvs3buXhISEelvzpKioiMzMTHbt2qXSwSuhjk101HGJjjouVaOOTXTUcYlObRwXwzAoLi4mIyMDi+XwUS3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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plott = ott.tools.plot.Plot()\n", "_ = plott(ot)" ] }, { "cell_type": "markdown", "metadata": { "id": "KSTa0azglxNl" }, "source": [ "## OT Gradient Flows\n", "\n", "OTT returns quantities that are differentiable. In the following example, we leverage the gradients to move $n$ points in a way that minimizes the overall regularized OT cost, given a ground cost function. \n", "\n", "We start by defining a minimal optimization loop, that does fixed-length gradient descent, and records various `ot` objects along the way for plotting. By choosing various cost functions, we can then plot different types of gradient flows for the point cloud in $x$." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "id": "4OdxCfCLgAZX" }, "outputs": [], "source": [ "def optimize(\n", " x: jnp.ndarray,\n", " y: jnp.ndarray,\n", " num_iter: int = 300,\n", " dump_every: int = 5,\n", " learning_rate: float = 0.2,\n", " **kwargs, # passed to the pointcloud.PointCloud geometry\n", "):\n", " # Wrapper function that returns OT cost and OT output given a geometry.\n", " def reg_ot_cost(geom):\n", " out = sinkhorn.Sinkhorn()(linear_problem.LinearProblem(geom))\n", " return out.reg_ot_cost, out\n", "\n", " # Apply jax.value_and_grad operator. Note that we make explicit that\n", " # we only wish to compute gradients w.r.t the first output,\n", " # using the has_aux flag. We also jit that function.\n", " reg_ot_cost_vg = jax.jit(jax.value_and_grad(reg_ot_cost, has_aux=True))\n", "\n", " # Run a naive, fixed stepsize, gradient descent on locations `x`.\n", " ots = []\n", " for i in range(0, num_iter + 1):\n", " geom = pointcloud.PointCloud(x, y, **kwargs)\n", " (reg_ot_cost, ot), geom_g = reg_ot_cost_vg(geom)\n", " assert ot.converged\n", " x = x - geom_g.x * learning_rate\n", " if i % dump_every == 0:\n", " ots.append(ot)\n", " return ots" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "id": "iF8IIUDeoWc-" }, "outputs": [], "source": [ "# Helper function to plot successively the optimal transports\n", "def plot_ots(ots):\n", " fig = plt.figure(figsize=(8, 5))\n", " plott = ott.tools.plot.Plot(fig=fig)\n", " anim = plott.animate(ots, frame_rate=4)\n", " html = display.HTML(anim.to_jshtml())\n", " display.display(html)\n", " plt.close()" ] }, { "cell_type": "markdown", "metadata": { "id": "ZlbYdocFxEtK" }, "source": [ "$W_2^2$ Gradient Flow\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 458 }, "id": "IZXah5jZqjj8", "outputId": "c4d029ed-7bc5-403b-e96f-31fa9adac2ea" }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", "\n", "\n", "\n", "
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\n", "\n", "\n", "\n" ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_ots(\n", " optimize(x, y, num_iter=300, epsilon=1e-2, cost_fn=costs.SqPNorm(p=1.5))\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Transport Map using Sinkhorn Potentials" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We show next how to instantiate easily a transport map from the output of the {class}`~ott.solvers.linear.sinkhorn.Sinkhorn` algorithm, using the Squared Euclidean distance, or a more exotic metric. This is done using the {class}`~ott.problems.linear.potentials.EntropicPotentials` {cite}`pooladian:21` which can be constructed from the Sinkhorn potentials." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "# Plotting utility\n", "def plot_map(x, y, z, forward: bool = True):\n", " plt.figure(figsize=(10, 8))\n", " marker_t = \"o\" if forward else \"X\"\n", " label = (\n", " r\"$T_{x\\rightarrow y}(x)$\" if forward else r\"$T_{y\\rightarrow x}(y)$\"\n", " )\n", " w = x if forward else y\n", " plt.quiver(\n", " *w.T,\n", " *(z - w).T,\n", " color=\"k\",\n", " angles=\"xy\",\n", " scale_units=\"xy\",\n", " scale=1,\n", " width=0.007,\n", " )\n", " plt.scatter(*x.T, s=200, edgecolors=\"k\", marker=\"o\", label=r\"$x$\")\n", " plt.scatter(*y.T, s=200, edgecolors=\"k\", marker=\"X\", label=r\"$y$\")\n", " plt.scatter(*z.T, s=150, edgecolors=\"k\", marker=marker_t, label=label)\n", " plt.legend(fontsize=22)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We first run the {class}`~ott.solvers.linear.sinkhorn.Sinkhorn` algorithm with the standard {class}`~ott.geometry.costs.SqEuclidean`, and turn its output to a {class}`~ott.problems.linear.potentials.EntropicPotentials` object." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "geom = pointcloud.PointCloud(x, y)\n", "out = sinkhorn.Sinkhorn()(linear_problem.LinearProblem(geom))\n", "dual_potentials = out.to_dual_potentials()" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "image/png": 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zfU2rVq1w7NixXNuOHDmCVq3M/wdW1/r37y+6ndPpiIjIUE6dOoUuXbogKSlJdP+kSZMQHBzMUKRj/v7+UCS8RGr02WKdJ/XuWSgSXsLf319HlRmHWq3GkCFDcPjwYQDAkCFDsGjRIgDAvHnzsqcJzpgxg8ubkFZ6DUZjxozBxo0bERYWBkdHRzx79gzPnj1Dauq/c2KHDBmCadOmZX/+xRdf4ODBgwgODsatW7cwe/Zs/PXXXxg7dqw+SzVLTZs2FQ2bW7du5XQ6IiLSu5MnT+YZiqZMmYLFixczFOlBkyZN0K69NxKjQqFWFq2bnFqZhsTjoWjX3tvsF3cdP3589uMa3bt3R0hISPb3Xb169TBo0CAAQExMDFauXGm0Osm06TUY/e9//0NCQgK8vb1Rvnz57I8tW7ZkHxMTE4OnT59mf966dWuEhYVh7dq1aNSoEX777Tfs2rUrz4YNJZW26XTR0dG4dOmS4QsiIqIS4/jx4/jggw/w5s0b0f3Tpk3D999/z1CkRyHrfgRS4vH68CoIQuGenREENV4fXgWkxGeex4zNnj0bq1atApD5PnLbtm2wtrbOdcycOXNgY2MDAJg/f77WBiFUsul9Kp3Yx7Bhw7KPiYyMxPr163O97uOPP8bt27ehUChw7do1dOvWTZ9lmjV2pyMiIkOLjIxE165dtS7YPn36dHz33XcMRXrm5eWF0J9CkHwjEq/2/VDgkSO1Mg2v9v2A5BuRCP0pBF5eXnquVH9WrVqFOXPmAMgcGdq7dy/s7DTbmFetWhUBAQEAgFevXuH77783aJ1kHiyjL2MJ9u6776J69eoa29mdjoiI9CE8PBzdunVDSkqK6P6ZM2di7ty5DEUGMmDAAGzcuBHp987g+c/jkHL7lNaGDIJahZTbp/D853FIv3cGmzZtwoABAwxcse5s3rwZ48ePBwBUqlQJhw4dgouLi9bjZ8yYkR2ali9fjn/++ccgdZL5kAgW9u65MKvbWoqvv/4aCxYs0Nh+7tw5vPfee0aoiIiILNHRo0fRs2dPpKWJj0zMnj0bs2bNMnBVhpWWloYHDx6gatWqsLW1NXY52aKjozEiYCSOR0VC7lwW1p4NIXOrBqncHmpFCpTP7yPj0RUoEl6ivbcP1v241qxHiqhkKc7PXWGyAUeMLAC70xERkb4dPnw4z1D07bffWnwoMmVeXl6IiozA+fPnMXLwJ6ghS0DyyQ2IO7AcySc3oIYsASMHf4Lz588jMiKcoYhIBEeMLIAgCKhduzbu3LmTa3vlypXx4MEDTmcgIqJiOXjwIPr06aO1zfH8+fNzdZi1ZKY6YqSNWq3OblVNZK44YkQFpq073cOHD3Hu3DkjVERERJZi//796N27t9ZQ9P3335eYUGSOGIqICo4/LRaC3emIiEjX9u7di759+0KpVIruX7x4MaZOnWrgqoiI9IPByELUr18ftWvX1tjOxV6JiKgodu/ejX79+mkNRUuXLkVQUJCBqyIi0h8GIwuhbTrdo0ePcObMGSNURERE5mrnzp346KOPkJ6eLrp/2bJlmDBhgoGrIiLSLwYjC8LpdEREVFzbt2+Hn58fMjIyRPevWLECX3zxhYGrIiLSPwYjC1KvXj3Uq1dPY/u2bdugVquNUBEREZmTbdu2oX///lpD0apVqzB27FgDV0VEZBgMRhZGbNTon3/+wenTp41QDRERmYstW7ZgwIABUKlUovtXr16Nzz//3MBVEREZDoORhfn4449Ft3M6HRERaRMWFoaBAwdqDUVr165FYGCggasiIjIsBiMLU6dOHTRo0EBjO6fTERGRmI0bN2Lw4MGi/0dIJBKEhIRg5MiRRqiMiMiwGIwskNh0uqdPn+LkyZNGqIaIiEzVL7/8giFDhmgNRT/99BOGDx9uhMqIiAyPwcgCsTsdERHlJzQ0FMOGDRNd604ikWD9+vUYNmyY4QsjIjISBiMLVLNmTTRu3Fhj+2+//aZ1/jgREZUcISEhGDFihGgokkql2LBhA4YMGWKEyoiIjIfByEKJjRrFxsbixIkTRqiGiIhMxY8//oiAgACtoWjjxo0YNGiQESojIjIuBiMLxe50RET0ttWrV2PUqFGi+6ysrBAWFoYBAwYYuCoiItPAYGShvLy80KRJE43t27dv17pwHxERWa5Vq1bhs88+E91nZWWFX3/9Ff379zdwVUREpoPByIKJTad7/vw5oqKijFANEREZy4oVKzB27FjRfdbW1ti6davWmQZERCUFg5EFY3c6IiL6z3/+g/Hjx4vus7a2xrZt29CvXz8DV0VEZHoYjCxY1apV0axZM43tnE5HRFQyLF26FF9++aXoPhsbG2zfvh19+vQxaE1ERKaKwcjCiY0axcXFISIiwgjVEBGRoSxevBiTJk0S3SeTybBjxw706tXLwFUREZkuBiMLx+50REQlz8KFCzFlyhTRfXK5HDt37kSPHj0MXBURkWljMLJwlStXRosWLTS279ixA+np6UaoiIiI9Gn+/Pn46quvRPfJ5XLs2rUL3bp1M3BVRESmj8GoBBCbTvfq1SscO3bMCNUQEZG+fPvtt/jmm29E99na2uL333/HBx98YOCqyFDEFu0tznFEJQ2DUQnA6XRERJZvzpw5mDlzpug+Ozs77NmzB507dzZwVWQo4eHhKO/hjrVr1+Z53Nq1a1Hewx3h4eEGqozIfDAYlQCenp5o3bq1xvadO3dCqVQaoSIiItIVQRAwa9YszJ49W3S/nZ0d9u7di44dOxq2MDKY8PBw9OjeDTZpcQgMDNQajtasWYPAwEDYpMWhR/duDEdEb2EwKiHEptPFx8fj6NGjRqiGiIh0QRAEzJgxA3PnzhXdb29vj/3798PX19fAlZGhZIWidhUF3BnrgLHNZKLhaM2aNRg9ejTGNZfhzlgHtKsoWFQ46tWrFyQSCSQSCc6fP5/v8YIgoFWrVpBIJLC3t8fff/+t/yLJ5DEYlRAfffSR6HZOpyMiMk+CIODrr7/Gd999J7rfwcEBBw4cgLe3t2ELI4PJGYp29ZfDzkaC5V3lGuEoZyj6zweZx+3qL7eocNSmTZvsP589ezbf43/66SecOXMGADB16lRUqVJFX6WRGWEwKiEqVKiAtm3bamzftWsXFAqFESoiIqKiEgQBU6dOxffffy+6v1SpUjh48CDatWtn4MrIUN4ORbbWEgCARJI7HA0aNChXKJJIMo+ztbascJQzGGUFHm1ev36d3bmxatWqmDp1ql5rI/PBYFSCiE2nS0hIwOHDh41QDRERFYUgCJg8eTIWL14sut/R0RGHDh0SvRlGlkEQBAwc8AnKyNKx0+/fUJQlZzgKCwvTCEVZbK0l2OknRxlZOgYO+MSsu9W99957kMlkAPIfMfrmm2/w8uVLAMAPP/wAW1tbvddH5oHBqAT58MMPNX4pApxOR0RkLgRBwMSJExEcHCy638nJCYcPHxZtuEOWQyKRYO638/A4UY2pRxWigSYrHF0KdBANRUDm99OUIwo8TlRj7rfzRI8xF7a2tmjatCkA4O7du3j16pXocRcuXMCaNWsAAB988AF69+5tsBrJ9DEYlSDvvPOO6LSK3bt3Iy0tzQgVERFRQQmCgC+//BLLli0T3Z8Vilq2bGnYwsgoRo0ahdWrV2PFn0p8cVB7OGrkYaU1FI0/oMDKc0qsWbMGo0aNMkTZepU1nU4QBPz5558a+wVBwJgxY6BWqyGTybB8+XJDl0gmjsGohBGbTpeUlIRDhw4ZoRoiIioIQRAwbtw4rW/kSpcujaNHj6JFixYGroyMKTAwMN9wJMYSQxGQ/3NGoaGh2dsnTZqEGjVqGKw2Mg8MRiVMv379IJVq/rNzOh0RkWlSq9UYM2YMVq1aJbrfxcUFR48eRbNmzQxcGZmCwoYjSw1FAHJNIX37OaOcDRc8PT3xzTffGLQ2Mg8MRiWMh4cH2rdvr7H9999/R2pqqhEqIiIibdRqNT777DP873//E93v6uqKY8eOZT9bQSVTYGAgBg4ciBV/KnElVp3nsVdi1Vh5TolBgwZZVCgCADc3t+xRoD///DNXSJw+fTpevHgBAFiyZAkcHByMUiOZNgajEkhsOt2bN29w4MABI1RDRERi1Gq16EKdWcqUKYNjx47h3XffNXBlZGrWrFmT3X2uoXveb+0auksxtpkMmzZt0vq9Zc6yptO9evUKd+/eBQBcvHgRq1evBgD4+vqKvg8iAhiMSiROpyMiMm0qlQoBAQFYt26d6P6yZcsiPDwcjRs3NmxhZHLeXrw1v85yb69zZGnh6O3njARBwOeffw61Wg1ra2usWLHCiNWRqbM2dgFkeG5ubvD19cXRo0dzbd+zZw9SUlJgb29vpMqIiEilUmHEiBH4+eefRfeXK1cO4eHhqF+/voErI1NT2FCUJSscAZnT8ABYzLS6nMHo7NmzyMjIyG64MG7cONStW9dYpZEZ4IhRCSU2jJySkoL9+/cboRoiIgIyQ5G/v7/WUOTm5oaIiAiGIsLatWvzDUWCIODyM1We6xxZ2shR7dq14erqCgA4duxYdsMFDw8PzJ4924iVkTlgMCqh+vbtCysrK43tnE5HRGQcGRkZGDJkCDZs2CC6393dHREREahXr56BKyNTIwgCZs6YjopOUizsqD0UjT+gQOM1yXmuc7SokxwVnaSYOWN6gdt9mzKJRJLdne727dvZDRcWLVoEJycnY5ZGZoDBqIQqW7YsOnTooLF97969SE5ONkJFREQlV0ZGBgYPHoywsDDR/eXLl0dkZCSnARGAzDf/Yb9uRpzSBn23KpCWkTvQ5GzJPWjQIK2tvNMyBPTdqkCc0gZhv24u8FQ8U5dzOl3W54MHDzZSNWROGIxKMLHpdKmpqdi7d68RqiEiKpnS09MxcOBAbN68WXT/O++8g8jISNSuXdvAlZEp8/X1xd59+3H8sQR9tvwbjt5ep2jjxo2i6xylZQjos0WB448l2LtvP3x9fY355ehUzmBkZWWFlStXGrEaMicMRiVY3759YW2t2X+D0+mIiAwjPT0dAwYMwLZt20T3V6hQAZGRkahZs6aBKyNz8HY4Sk0XX7z17UVgU9MtNxQBwOPHj7P/HBgYyO6NVGASwRImlOaQmJgIZ2dnJCQkcC5pAXTr1k1j/SJbW1s8f/4cjo6ORqqKiMjyKZVKfPLJJ9i5c6fofk9PT0RERKB69eoGrozykpaWhgcPHqBq1aqwtbU1djkAgPDwcPTo3g1lZOl4nKjOFYpyyupiV9FJijiljUWGIqVSiTp16uD+/fsoW7Ys7ty5AxcXF2OXRcVUnJ+7wmQDjhiVcGLT6dLS0jidjohIj5RKJfz8/LSGokqVKiEyMpKhiAoka+Qo3baM1lAEZI6erFmzBum2ZSwyFAHAkiVLcP/+fQDAwoULGYqoUDhiVMK9fv0a7u7uSE9Pz7W9T58+Wv/DJiKiolMoFPj444+xZ88e0f2VK1dGZGQkqlSpYtjCqEBMccQoiyAIBWqgUNDjzM0ff/wBX19fKJVKtG/fHhERERb5dZZEhhox4gKvJZyLiws6d+6Mffv25dp+4MABJCYmMlwSEelQWloaPvroI43fuVmqVq2KiIgIVK5c2cCVkSUozAKvliA2NhYXL15EamoqTp06hVWrVkGpVKJ06dL4+eefLebrJMPhVDoSnU6nUCjw+++/G6EaIiLLlJaWhr59+2oNRdWqVUNkZCRDEVEB/fLLL+jatSv69euHJUuWIDU1Fba2tvjtt9/4c0RFwmBE6N27N2QymcZ2dqcjItKN1NRU9O7dGwcPHhTdX716dURGRqJSpUoGrozIfJ07dw4AYGNjg8qVK2PIkCE4d+6c6DqNRAXBqXQEZ2dnfPDBBxojRIcOHUJ8fDxKly5tnMKIiCxASkoKevfujaNHj4rur1GjBiIiIlChQgUDV0Zk3ngDl3SNI0YEQHw6nVKp5HQ6IqJiSElJQc+ePbWGolq1aiEyMpKhiIjIBDAYEQCgZ8+ekMvlGtt5N4aIqGiSk5PRvXt3hIeHi+6vXbs2IiIi8M477xi4MiIiEsNgRAAAJycndO3aVWP74cOH8fr1ayNURERkvt68eYNu3bohMjJSdH/dunURERGB8uXLG7YwIiLSisGIsolNp0tPT8euXbsMXwwRkZlKSkpC165dcfz4cdH99erVQ0REBDw8PAxcGRER5YXBiLL16NFDdNEsTqcjIiqYxMREdO3aFSdPnhTd36BBA0RERMDNzc3AlRERUX4YjCibo6MjunfvrrH96NGjiIuLM0JFRETmIyEhAR988AH++OMP0f0NGzZEeHg4ypUrZ+DKiIioIBiMKBex6XQZGRmcTkdElIeEhAR06dIFp0+fFt3fuHFjhIeHo2zZsgaujIiICorBiHLp3r077OzsNLZzOh0Rkbj4+Hh06tQJZ8+eFd3fpEkTHDt2DGXKlDFwZUREVBgMRpSLg4MDevToobH92LFjePnypREqIiIyXa9fv0anTp1w7tw50f3vvfcejh49CldXVwNXRkREhcVgRBrEptOpVCrs3LnTCNUQEZmmV69eoWPHjvjrr79E9zdr1gxHjhyBi4uLgSsjIqKiYDAiDd26dYODg4PG9i1bthihGiIi0xMXF4cOHTrgwoULovtbtGiBI0eOoHTp0oYtjIiIiozBiDTY29ujZ8+eGtsjIiLw/PlzI1RERGQ6Xr58CV9fX1y6dEl0f6tWrXD48GE4OzsbtjAiIioWBiMSJTadTq1WY8eOHUaohojINLx48QK+vr64cuWK6P42bdrg0KFDcHJyMnBlRERUXAxGJOqDDz5AqVKlNLazOx0RlVSxsbHw8fHB1atXRfe///77OHDgABwdHQ1cGRER6QKDEYmys7NDr169NLZHRUXh2bNnRqiIiMh4nj17Bh8fH1y/fl10f7t27bB//36GIiIiM8ZgRFpxOh0REfD06VP4+Pjg5s2bovt9fHywf/9+0VF2IiIyHwxGpFWXLl1E58mzOx0RlRRPnjyBt7c3bt26Jbq/Q4cO2Lt3r2gnTyIiMi8MRqSVra0tevfurbH9xIkTePLkiREqIiIynH/++Qfe3t64c+eO6P5OnTphz549sLe3N3BlRESkDwxGlCex6XSCIGD79u1GqIaIyDAePXqE9u3b4+7du6L7O3fujN27d8POzs7AlRERFd2JEycgkUhgZWWFy5cv6+06+/fvh0QigVwu13pzyRQxGFGeOnXqJLoWB7vTEZGliomJgbe3N+7duye6v2vXrgxFRCZk9+7dkEgkOvmYOXOmsb8cvVGpVBgzZgwAYPDgwWjUqJHertWtWzd4e3tDqVRi/PjxeruOrjEYUZ7kcjn69Omjsf3kyZP4559/DF8QEZEePXz4EN7e3rh//77o/u7du2Pnzp2wtbU1cGVEpM2ff/6ps3O99957OjuXqfn5559x9epVSKVSfPPNN3q/3owZMwAAhw4dwrFjx/R+PV2wNnYBZPr8/Pzw888/a2z/7bff8MUXXxihIiIi3Xvw4AF8fHzw8OFD0f09e/bEtm3bIJfLDVwZEeWlb9++aNasmdb9I0aMwKtXrwAAq1evhru7u9ZjfXx8dF6fKUhPT8ecOXMAAP369UONGjX0fk1fX1+89957+OuvvzB9+nR06NBB79csLokgCIKxi9ClxMREODs7IyEhgSuP64hSqYSHhwdev36da3urVq1w6tQpI1VFRKQ79+/fh4+PD2JiYkT39+7dG1u3boVMJjNwZWRq0tLS8ODBA1StWpUjh2YgPj4eLi4uAAB7e3skJSVBKi15E6Y2btyIwYMHAwCOHTsGX19fg1w3JCQEAQEBADJnG7Vp06ZI5ynOz11hskHJ+86gQpPJZOjbt6/G9tOnT2t9E0FEZC7u3buH9u3ba/191rdvX4YiMisxMTGYO3cuBg8ejD59+mDw4MGYO3duifw/++LFi9l/btiwYYkMRQCwatUqAICnp6dBR8X8/Pyyg8zKlSsNdt2iKpnfHVRoYt3pgMzpdERE5uru3bto3749Hj9+LLr/o48+wpYtWxiKyCxERUWhV+9eqFq1KuZ9Pw+7z+1G+N/h2H1uN+Z9Pw9Vq1ZFr969cPz4cWOXajA5g1GTJk2MWInx3L59G2fOnAGQOY1OIpHkeXzWMRKJBIsWLcrz2AULFmQf27x5c7x58ybXfkdHR3Tu3BkAsGvXLiQkJBTjK9E/BiMqEF9fX7i6umpsZ3c6IjJXt2/fhre3t9ZGMn5+fggLC4ONjY2BKyMqHEEQsGTJEnh7eyP8Ujg8PvWA11IvVJ5WGZUnVEblaZXhtdQLHp96IPxSONq3b4/g4GBY2NMUoi5cuJD953fffdeIlRjPjh07sv/cvn37fI9fsGABrK0z2xAsWrQISUlJoseFhITg66+/BgDUrl0b+/fvR6lSpTSO8/b2BpA5He7AgQOFLd+g9BqMjh8/jp49e+Kdd96BRCLBrl278jw+MjJStHXis2fP9FkmFYCNjQ369eunsf3s2bP4+++/DV8QEVEx3Lp1C97e3loXq/7kk0+wadMmhiIyC0uXLsXkyZNRrkc5VJldBa6+rrCys8p1jJWdFVx9XVFldhWU61EOQUFBWLp0qZEqNhyOGGV2hcvSsmXLfI+vVasWRowYAQCIi4sT/T75/fffERgYCCBzet7hw4dRtmxZ0fPlvObBgwcLVbuh6TUYJScno1GjRtnzGgvq9u3bePr0afaHm5ubniqkwuB0OiKyBDdv3oS3t7fWm24DBw7Ehg0bsu+YEpmyqKgoBAUFoVyPcnD/yB0Sad7TpCRSCdw/ckfZHmURFBRk0dPqUlJScPv2bQCZN3jr169v5IoMT6VS4a+//gKQGWDKly9foNfNnj0bDg4OADKDd1ZXPyBzkdj+/ftDpVKhTJkyOHToEDw9PbWeq0mTJtnTkbOm9JkqvQajrl27Yt68eaIP7ufFzc0NHh4e2R8l9UE5U+Pj4yN6N2DLli1GqIaIqPCuX78Ob29vxMbGiu4fPHgwfvnlF4YiMhvBS4PhUMkBbh8W7iayez93OHg6IHhpsJ4qM77Lly9DpVIBAOrVq1cinxV88OABkpOTAWROdysoDw8PTJw4EUBmV7eFCxcCAK5evYpevXohLS0NDg4O2L9/P+rUqZPnueRyOapVqwYAuHPnDtLS0orypRiESSaOxo0bo3z58ujUqRP++OOPPI9VKBRITEzM9UH6YW1tjQ8//FBj+19//aV1MUQiIlNx9epV+Pj44Pnz56L7hw4ditDQUFhZWYnuJzI1MTEx2Ld3H5y9nfN9oP5tEqkETj5O2LtnLx49eqSnCo2L0+iQ63EHsWfF8zJ58uTsWVsrV67E6dOn0aVLF8THx0Mmk2Hnzp1o3rx5gc6VdW1BEEy6O6JJBaPy5ctj9erV2L59O7Zv3w5PT094e3vnenDubQsWLICzs3P2R15DeVR82qbTbdu2zcCVEBEV3OXLl+Hr64sXL16I7vf390dISAhDEZmV9evXw0puBedWzkV6felWpWElt0JoaKiOKzMNbLyAXFPgypQpU6jXOjo6YubMmQAypyW+//77ePr0KaRSKX755Rd06tSpwOfKee2cNZkakwpGtWrVQmBgIJo2bYrWrVvjp59+QuvWrfHDDz9ofc20adOQkJCQ/WGpdz1MRbt27USf+WJ3OiIyVZcuXUKHDh3w8uVL0f0BAQFYt24dQxGZnbt378K2kq1Go4WCsrKzgm0lW0RHR+u4MtPAEaPMmVVZHB0dC/36UaNGwcvLCwCypyWuWLEC/fv3L9R5ci6smpqaWug6DMWkgpGY5s2b5/kDK5fL4eTklOuD9EfbdLoLFy5Y7C9WIjJfFy5cQIcOHRAXFye6PzAwEGvWrOGzrGSWkpKSANtinkQOi3wMIT09HdeuXQMASKVSNGrUyMgVGYdcLs/+c1H+nWNjY3OFq/r16+Pzzz8v9Hlyrl9kZ2dX6Ncbisn/T3Dp0qUCd9Agw+B0OiIyB+fPn0eHDh20Ttv47LPP8N///pehiMyWo6MjUNzn2BWwyJvK169fh1KpBADUrFkzu8NaSVOcKWxxcXHo3LlzrtlY165dK9JaRDlvThX2WSdD0uv/Bm/evMGlS5dw6dIlAJmdMS5dupT90NW0adMwZMiQ7OOXLVuG3bt3Izo6GteuXcOXX36J8PBwjBkzRp9lUiG9//77cHd319jO7nREZCrOnTuHDh06ID4+XnT/mDFjsGrVKoYiMms1atRAWkwaVKmqIr1elapCWkxa9lQpS1LU54s+++wzSCQSjBo1SmPf8+fP4eXlBalUivXr1xe7xosXLxa4Q1tYWBgkEkmenZ5XrFgBiUSCzz77LHtb1apVs/9cmGCUnJyM7t274+bNmwCA4cOHZ+/76quvoFarC3yunNeWSCSoXLlyoV5rSHr9H+Gvv/7Cu+++m/0NOXHiRLz77rvZD3I9ffo0V2cKpVKJSZMmoUGDBmjfvj0uX76Mo0ePokOHDvoskwrJysoKH330kcb2y5cvZ68XQERkLGfPnkXHjh1zTd3Iafz48dlvIIjM2bBhw6BSqJBwWvx7PT/xp+OhUqjg7++v48qML2cwKszzRbNmzYKDgwNCQ0Nx79697O1v3rxBt27dcO/ePSxcuBDDhg0rVn3nz5/H+++/jz59+hQoHLVp0wZA5u83MbGxsZgxYwbKli2L+fPnZ2+vUqVK9rNFWSEnP+np6ejXr1/2tYKCghASEoI+ffoAAK5cuYKNGzcW6FwAkJaWhgcPHgDI7CeQc3qfqdFrMPL29oYgCBofWSl7/fr1iIyMzD5+ypQpiI6ORmpqKuLi4hAREQEfHx99lkhFpO2hO06nIyJjOn36NDp37qx1Lv2ECROwbNkyhiKyCJUqVUL3Ht2REJkAQS0U6rWCWkBiRCJ69OxhkR19i9p4wcPDAxMmTEBGRgZmz54N4N+gcP78eQQFBWHy5MnFrq9+/frw9vbGoUOH0Lt373zDUeXKlVGxYkU8ffoUDx8+1NgfFBSEhIQELFiwAC4uLtnbpVIpmjVrBgB4/Pgxnjx5kud11Go1hgwZgsOHDwMAhgwZgkWLFgEA5s2blz3KPmPGjFzPHuXlwoUL2dMaW7ZsWaDXGAvnEFCRtGnTRvTZL3anIyJjOXXqFLp06aI1FE2aNAnBwcEMRWRRgiYFITkmGc93iK/PpU3sjlikPE7BpImT9FSZ8ajValy+fDn788K26p48eTLKli2LsLAwXL9+Hf7+/jhy5EiukFBccrkcO3bsQK9evXD48GH07Nkz325tWaNGZ86cybX9+PHj2LhxI1q0aIERI0ZovO6DDz7I/rO2Eacs48ePx+bNmwEA3bt3R0hISPbvzHr16mHQoEEAMtfQWrlyZT5fJTTq7dKlS4FeYywMRlQkUqkUH3/8scb2q1evFniolohIV06ePIkuXbpkdukSMWXKFCxevJihiCxOu3btsGTJErzY+wLPfnuW78iRoBbw7LdneLn3JRYvXox27doZqFLDuXPnDpKTkwFkTiXLOYJSEE5OTpgxYwbUajV8fHywadMmjZCgzaBBg1C7du0CfTRs2DC7c97Ro0fzbYHdtm1bALmDRkZGBsaMGQOpVIpVq1aJ1pfzuaTw8HCt5589ezZWrVoFAGjdujW2bdsGa2vrXMfMmTMHNjY2AID58+drfY4zp+PHjwMAbG1t0bVr13yPNyrBwiQkJAgAhISEBGOXYvFOnjwpAND4mDNnjrFLI6ISJCoqSnBwcBD9fQRAmDZtmqBWq41dJlmI1NRU4caNG0JqaqqxS8mmVquFJUuWCAAEB08HofyQ8kKd/9UR6q+vn/1R5391hPJDygsOnpk/K0uWLLHYn4tNmzZl//z37du3SOdIS0sTnJ2dBQBCixYthJSUlAK9rk2bNlp/F+X30bJlyzzPfeHCBY3jgoODBQDC6NGj83xt69atBQBCuXLlBKVSqbF/5cqV2XXUq1dPePXqldZzffbZZ9nHTp06Nc/rJiUlCba2tgIAoX///nkem5fi/NwVJhswGFGRqVQqoUKFCho/2HXr1jV2aURUQkRERAj29vZa32hMnz7dYt/8kXGYYjDKEhUVJfTq3UuQSqWCjZ2N4FjLUXBs6Cg41nIUbOxsBKlUKvTq3UuIiooydql6FRQUlP074Ntvvy3SOSZNmpR9jqZNm+rt98iECRMEAEKdOnWEp0+f5nlsRkaG4OjoKMjlckGhUAj//POP4OjoKJQpU0aIi4vL87U5w+Lu3btz7fv1118FqVQqABAqVaokPH78OM9zPXnyRLCzsxMACHZ2dnkeHxISkn3dEydO5HnevDAYFRGDkWF9+eWXom9Grl27ZuzSiMjCHTt2LPs/Z7GPmTNnMhSRzplyMMoSExMjzJkzRxg8eLDQu3dvYfDgwcKcOXOEmJgYY5dmFhYtWiQAEJo0aSI0bdpUACBs2bJF59cZO3Zs9g3lZ8+eFeg1nTp1EgAIZ86cEfr37y8AENauXZvv69LT04XKlSsXaxStKJo1a5Y96lYcDEZFxGBkWKdPn9b6hoSISF+OHDmSPT1D7GP27NnGLpEslDkEIyq69evXCxKJRPDy8hJiY2OFQ4cOCQCEGjVqCOnp6Tq7zh9//CFIpVKhXr16QmxsbIFfN2fOHAGA0KdPHwGA0Lx58wLfAMoavZFKpcLVq1eLWnqBhYeHZ/9OPnLkSLHOZahgxOYLVCwtWrRApUqVNLZv3boVglC41qFERAWR1cFJW3vbb7/9FrNmzTJwVURk7vbt24eAgAC4ubnh0KFDcHNzQ+fOndGuXTvcvXsX69at09m1Wrduje3btyMiIgJubm4Ffl1WZ7pdu3bl2XBBzNChQ9GgQQOo1ersNUX16dtvvwUAdO7cGR07dtT79XSBwYiKRSKRiHanu3XrVnanFSIiXTl48CB69eqlNRTNnz8f06dPN3BVRGTuTp8+DT8/P9jb2+PAgQOoVq1a9r7vvvsOADB37lykpKTo7Jp9+vRBuXLlCvWali1bZneKGzlyJN57770Cv9bKyiq769zOnTtzLYKra/v370dERARkMhlWrFiht+voGoMRFZufn5/odq5pRES6tH//fvTu3VvrooLff/89pk2bZuCqiMjc3bhxAz169EBGRgZ27typse5R27Zt8cEHH+Dp06f44YcfjFRlpoSEBFhZWaFMmTLZga0w3n//fQiZj9IUauHbwurWrRsEQYBCoUDNmjX1dh1ds87/EKK8NWvWDJUrV9ZYiXnLli2YO3cu1w0homLbu3cvPvzww+zV09+2ePFiBAUFGbgqIrIEdevWRVxcXJ7HHDhwwEDV5O3rr7+GQqHAihUrUKZMGWOXY3E4YkTFJpFIREeN7t69m2vlaSKiovj999/Rr18/raFo6dKlDEVEZPF27NiBn3/+GW3btkVAQICxy7FIDEakE9pWa+Z0OiIqjl27duGjjz5Cenq66P5ly5ZhwoQJBq6KiMgwbt68iYCAAHTt2hUff/wxypQpg19++YWzcfSEwYh0okmTJrkeVMzC7nREVFTbt2/Hxx9/rDUUrVixAl988YWBqyIiMpwjR44gJCQEp06dQufOnREeHo6qVasauyyLxWBEOqFtOt29e/dw8eJFI1REROZs27Zt6N+/PzIyMkT3r1q1CmPHjjVwVUREhjV+/HgIgoCEhAQcOHAADRs2NHZJFo3BiHSG3emISBe2bNmCAQMGQKVSie5fvXo1Pv/8cwNXRURElo7BiHSmcePG8PLy0ti+ZcsWTqcjogL59ddfMXDgQK2haO3atQgMDDRwVUREVBIwGJHOaJtO9/fff+Ovv/4yQkVEZE42btyITz/9FGq1WmOfRCJBSEgIRo4caYTKiIioJGAwIp1idzoiKopffvkFQ4YM0RqKfvrpJwwfPtwIlRERUUnBYEQ61aBBA9SqVUtjO7vTEZE269evx7Bhw0R/R0gkkuz9RERE+sRgRDqlbTpdTEwM/vzzTyNURESmLGskSCwUSaVSbNiwAUOGDDFCZUREVNIwGJHOsTsdkf6ITTUzVz/++CNGjBihNRRt3LgRgwYNMkJlRPnjLAgiwzHUzxuDEelcvXr1UKdOHY3tW7dutag3dUSGcOHCBYwbNw6NmzSFXG4LKysryOW2aNykKcaNG4cLFy4Yu8QiWb16NUaNGiW6z8rKCmFhYRgwYICBqyLKn1Sa+daJ/58RGU5Wp9Ksnz99YTAindM2ne7x48c4c+aMESoiMj/R0dFo7+2Dpk2b4scNmxGd7gKHtkNQput4OLQdguh0F/y4YTOaNm2K9t4+iI6ONnbJBfbf//4Xn332meg+Kysr/Prrr1obuRAZm42NDaysrJCcnGzsUohKjJSUFFhZWcHGxkav17HW69mpxPLz88OcOXM0tm/duhWtW7c2QkVE5iMsLAzDRwQA9qVRru/XsPNqAYnUSuM4Qa1CavRZnI0KRf0GDRH6U4jJj7KsXLkS48aNE91nbW2NLVu2oF+/fgauyvDUarXe73ySfkgkEjg6OiIxMRHlypWDRCIxdklEFk0QBCQmJsLR0VHvP2/8rUx6UbduXdSvX19j+7Zt2zj9gCgPYWFh+PTTT2FTvSXchq6Afc3WoqEIACRSK9jXbA23oStgU70lBg0ahLCwMANXXHD/+c9/8gxF27Zts9hQZKlTIksqZ2dnpKen48mTJ3zWiEiPBEHAkydPkJ6eDmdnZ71fTyJY2E90YmIinJ2dkZCQACcnJ2OXU6J9++23mDlzpsb2EydOoG3btkaoiMi03b17Fw0aNoJN9ZZw7T4BEknB710Jghqv9v2A9HtncO3qFXh5eemx0sJbunQpJk2aJLrPxsYGv/32G3r16mXgqvQvOjoaIwJG4nhUJOTOZWHt2Qgyt2qQyu2gVqRC+fw+Mh5dhiLhJdq190bIuh9N7t+OxCUlJeHx48ewsbGBk5MT7O3tYWVlxREkomISBAEqlQopKSlITExEeno6KlasCEdHxyKdrzDZgMGI9ObWrVuiTRjGjRuH5cuXG6EiItPW3tsHf169g3JDl0Mqsy3069XKNDz/eRxaNKiFqMgIPVRYNEuWLMHkyZNF98lkMmzfvh09evQwcFX6l3NKpFN7/3ynRCZGhQIp8WYxJZIypaSkICEhAUlJSdkPhxORblhZWcHR0RHOzs6wt7cv8nkYjBiMTEajRo1w5cqVXNs8PDzw+PFjWFmJTw8iKonOnz+P9957D+X6fg37mkV/Di/l9im82DUf58+fR5MmTXRYYdEsXLgQX331leg+uVyOHTt2oFu3bgauSv+ypkQ61PWGS+cxBQq6amUaXh9eheQbkdi4cSMGDhxogEpJFwRBQHp6OqeKE+mIVCqFjY2NTkZgC5MN2HyB9MrPz08jGD179gwnT55E+/btjVQVkelZv3495M7lYOfVoljnsavRAnLnsggNDTV6MJo/fz6++eYb0X1yuRy7du3CBx98YOCq9O/u3bsYPiIADnW9CzUlUiqzhWv3CQCA4SMC0Lx5c06rMxMSiQQymczYZRBRMbH5AukVF3slKpgTf5yCtWdDrY0WCkoitYK1Z0OcPHVaR5UVzbfffqs1FNna2uL333+3yFAEAAEjR0Fi7wKXzmMK9ZwYAEgkUrh0HgPYl8aIgJF6qpCIiMQwGJFe1ahRA++++67G9t9++43zsYlyuHn9OmRu1XRyLplbNdy4dk0n5yqKOXPmiDZeAQA7Ozvs2bMHnTt3NnBVhnH+/Hkcj4qEY/thRXpODMgcOXJq54/jUZHsVkdEZEAMRqR3YqNGz58/x/Hjx41QDZHpUavVUCoVkMrtdHI+qdweSqXC4M87CIKAWbNmYfbs2aL77ezssHfvXnTs2NGgdRmSPqZEEhGRYTAYkd59/PHHots5nY4ok1QqhUwmh1qRqpPzqRUpkMnkBl1AVBAEzJgxA3PnzhXdb29vj/3798PX19dgNRmDpU2JJCIqSRiMSO+qV6+Opk2bamzfvn07MjIyjFARFRc7L+lenXr1oHx+XyfnUj6/j7oiCyzriyAI+Prrr/Hdd9+J7ndwcMCBAwfg7e1tsJqMxZKmRBIRlTQMRmQQYtPpXrx4gcjISMMXQ4V24cIFjBs3Do2bNIVcbgsrKyvI5bZo3KQpxo0bx+cgdOD9Nq2R8egyBHXxnr0T1CpkPLqCtq1b6aiyfK4nCPjqq6/w/fffi+4vVaoUDh48iHbt2hmkHmOylCmRREQlFYMRGQS705mn6OhotPf2QdOmTfHjhs2ITneBQ9shKNN1PBzaDkF0ugt+3LAZTZs2RXtvH0RHRxu7ZLPl7+8PRcJLpEafLdZ5Uu+ehSLhJfz9/XVUmXaCIGDy5MlYtGiR6H5HR0ccOnQIbdu21XstpsASpkQSEZVkXMeIDKJKlSpo3rw5/vzzz1zbd+zYgVWrVsHGxsZIlZE2YWFhGD4iALAvjXJ9v4adVwvR5yYEtQqp0WdxNioU9Rs0ROhPIRgwYIARKjZvTZo0Qbv23jgbGQrbKk2K1NFMrUxD4vFQtGvvrfc1jARBwMSJE7Fs2TLR/U5OTjh06BBatmyp1zpMhSAIOHDgAKTW1mY7JZKIqKTjbSgyGLFRo7i4OERERBihGspLWFgYPv30U9hUbwm3oStgX7O11ofJJVIr2NdsDbehK2BTvSUGDRqEsLAwA1dsGdb9uBbpic8Rd2glBKFw06cEQY3Xh1cBKfEIWfejnirMupaAL7/8Ms9QdPjw4RITiv766y906NAB3bt3R1pKMlLvnze7KZFERMRgRAb00UcfiW7ndDrTcvfuXQwfEQCHut5w7T6hwCMXUpktXLtPgENdbwwfEcBpdUVw5swZqFUqpNyIxMu9S6FWphXodWplGl7t+wHJNyIR+lMIvLy89FajIAgYN24cli9fLrq/dOnSOHr0KFq0KF67anNw//59DBgwAM2aNct1g0edEm9WUyKJiCgTgxEZTOXKlUXvIO/YsQPp6elGqIjEBIwcBYm9C1w6j4FEUrhfERKJFC6dxwD2pTEiYKSeKrRMsbGx+PLLL7M/T7kZhSchnyHl9imtow+CWoWU26fw/OdxSL93Bps2bdLrNEa1Wo0xY8Zg1apVovtdXFxw9OhRNGvWTG81mIK4uDhMmDABtWvXxubNmzUPkEjx6tiPBQ62bzPklEgiIn0xx8YxfMaIDMrPzw9nzpzJte3169c4evQounbtaqSqKMv58+dxPCoS5fp+XaRnXIDMkSOndv44vms+Lly4wDd2BTR+/Hi8evXq3w2CAFVSHF7smg+5c1lYezaEzK0apHJ7qBUpUD6/j4xHV6BIeIn23j5Y9+NavY4UqdVqfPbZZ1i7dq3ofldXVxw9ehTvvvuu3mowttTUVCxfvhwLFixAQkKC9gMFNVRJL/Hq8CqU6T6hUDcYDDklkohIly5cuIDQ0FCc+OMUbl6/DqVSAZlMjjr16uH9Nq3h7+9v8u8JOGJEBsXFXk3b+vXrIXcuBzuv4k2DsqvRAnLnsggNDdVRZZZt165doj8D1lZS/Prrrxg5+BPUkCUg+eQGxB1YjuSTG1BDloCRgz/B+fPnERkRrvdQFBgYqDUUlSlTBseOHbPYUKRSqfDzzz+jZs2a+Oqrr/IORQCaNm2Kb77+Gik3IvFq3w8mOSWSiEhXLKmDrUQQBMHYRehSYmIinJ2dkZCQACcnJ2OXQyLatm2LP/74I9c2Z2dnPH/+HDKZzEhVEQA0btIU0ekuKNt9QrHP9XLfUtSQJeDi+b90UJnlio+PR926dfH06VONfTNmzMDcuXNzbVOr1QZt36xWqxEQEKA15JYtWxbHjh1Dw4YNDVaToQiCgEOHDmHq1Km4cuVKvsdXqVIF8+fPR//+/SGVSnN1dnRq5w+7Gnl0drx7FonHQ4GUeHZ2JCKzkev3XHv/fDvYJkYZ/vdcYbIBp9KRwfn5+WkEo4SEBBw5cgTdu3c3UlUEADevX4dD2yE6OZfMrRpunNygk3NZssmTJ4uGojp16uCbb77R2G7IUKRSqTBixAj8/PPPovvLlSuH8PBw1LfAltIXLlzAlClTcOzYsXyPdXV1xfTp0/H5559DLpdnbx84cCCaN2+OEQEjcdxEpkQSEelKVgdbh7recOk8Js8p+FkdbG2rNMHrw6swaNAgCIKAgQMHGrDi/HEqHRnchx9+CIlEorGd0+mMS61WQ6lUQCq308n5pHJ7KJUKs3z40lCOHTuGdevWaWyXSCQICQnJ9Sbb0FQqFfz9/bWGIjc3N0RERFhcKPr777/x6aefomnTpvmGIrlcjqlTp+LevXuYMGGC6L+Xl5cXoiIjcP78eaNPiSQi0hVL7WDLESMyuAoVKqBt27Y4ceJEru27du2CQqEw6pvBkkwqlUImk0OtSNXJ+dSKFMhkcoOOcJiT5ORkjBo1SnTf+PHj0aqV8davycjIwNChQ7WuR+Xu7o7w8HDUrVvXwJXpz6tXrzB//nysWLECSqUyz2MlEgmGDBmCuXPnolKlSgU6f5MmTXI9dGzoKZFERLqkiw62z3++hREBIxEVaTrrWfK3MhmF2GKviYmJOHTokBGqoSx16tWD8vl9nZxL+fw+6lrYaIIuzZw5E/fva/5dV6lSBfPmzTNCRZkyMjIwePBgraGofPnyiIyMtJhQlJaWhiVLlqB69eoIDg7ONxR16dIFFy9exPr16wscisQwFBGRucrqYOvYfljxO9hGReLChQs6rrDo+JuZjOKjjz7idDoT9H6b1sh4dFnrujkFJahVyHh0BW1bG2/Uw5SdPXsWy5YtE923du1alCpVyrAF/b/09HQMGjRIfG0eAO+88w4iIyNRu3ZtA1eme2q1Ghs3bkStWrUwefJkxMfH53l848aNcfjwYRw8eBCNGjUyTJFERCbIkjvYMhiRUXh4eKB9+/Ya23fv3o3UVN1M5aLC8/f3hyLhJVKjzxbrPKl3z0KR8BL+/v46qsxyKJVKjBgxQvTZK39/f3Tq1MkIVWWGogEDBmi9OVGhQgVERkaiZs2aBq5M944ePYqmTZti8ODBiImJyfPYSpUqYePGjTh//rzR/m2IiEzJiT9OwdqzoWj3ucKQSK1g7dkQJ0+d1lFlxcdgREYjNp3uzZs3nE5nRE2aNEG79t5IjAot8Norb1Mr05B4PBTt2nub/EJuxrBgwQJcv35dY7uHhweCg4ONUFFmWOvfvz+2b98uur9ixYqIjIxEjRo1DFyZbl2+fBldunRBp06dcOnSpTyPLV26NJYsWYLbt29j0KBBnPpGRCWSSqXC7du3sW3bNsyYMQO9e/fG5UuXIHOrppPzy9yq4ca1azo5ly6w+QIZTb9+/TB27FiNO+dbt25Fnz59jFMUIWTdj6jfoCFeH14F1+4TCvVQpSCo8frwKiAlHiHrftRjlebp2rVr+O6770T3rVq1Ci4uLgauKDMU+fn5Yffu3aL7K1WqhIiICFSrppv/BI0hJiYGM2bMwIYNG5Df0n0ymQzjx4/HtGnT4OrqaqAKiYiM7+XLl7hy5Uquj+vXryMtTfNGqT462JrCDSgGIzIad3d3eHt7Izw8PNf233//HampqbCz080PHRWOl5cXQn8KwaBBgwAg37UJsqiVaXh9eBWSb0Ri06ZNbDv8lqw1gdLT0zX2ffjhh+jXr5/Ba1IoFPj444+xZ88e0f2VK1dGZGQkqlSpYtjCdCQ+Ph4LFizAf/7zHygUinyP//TTT/Htt9+a7ddLRFQQSqUSt27d0ghBYmvqiZNYbAdbBiMyKj8/P41glJycjP379+PDDz80UlU0YMAACIKA4SMC8PznW3Bq5w+7GnmsZn33LBKPZ65mvWnTJoOtZm1Oli9fjj///FNje+nSpbFy5UqD15OWloaPPvoI+/btE91fpUoVREZGonLlygaurPgUCgX++9//Yt68eXj16lW+x3fo0AGLFy/Gu+++a4DqiIgMQxAEPH36VCMA3bx5ExkZGUU/sURisR1sGYzIqPr164cxY8ZApcrdBW3r1q0MRkY2cOBANG/eHCMCRuL4rvmQO5eFtWdDyNyqQSq3h1qRAuXz+0h7cAGq5Hi09/bBuh/XcqRIxP379/HNN9+I7vvhhx/g4eFh0HrS0tLQt29fHDx4UHR/tWrVEBERUax21MagVquxefNmfPPNN/j777/zPb5hw4ZYtGgROnfuLNolk4jIXKSkpODGjRsaISguLk73FxPUSL1/HoJaVawGDNkdbAd/osPiiofBiIyqXLly8PX1xZEjR3Jt37t3L5KTk+Hg4GCkygjInFYXFRmBCxcuIDQ0FDt3/45/rkUAEABIAIkEENQ4e/YsmjdvbuxyTZIgCBg5cqRot8VOnTph6NChBq0nNTUVffr0weHDh0X3V69eHREREfD09DRoXcUVHh6OyZMnF2g9DE9PT8ybNw+DBg2ClVXxuioRERmSIAh4+PChRgC6e/euaLdTXbK2tkadOnVQsWJFHDhwAKnRZ2Ffs3WRz2eKHWwZjMjo/Pz8NIJRSkoK9u/fj48//thIVVFOTZo0QZMmTdCmTZsc0+QE4P8fZK9YsaLxijNxISEhGtNFAcDBwQFr16416EhFSkoK+vTpo/HzlqVGjRqIiIhAhQoVDFZTcV29ehVTp07FgQMH8j3W2dkZX3/9NcaNG8dnGInI5CUmJuLq1au5AtDVq1eRlJSk92u/8847aNiwYa6PWrVqQSaTAQDae/vgbFQobKs0KdIir6bawZbBiIyub9++GD16tOh0OgYj0+Lm5ia6PTY2Fu+8846BqzF9//zzDyZNmiS6b/78+QZ9yD8lJQU9e/YUDWkAULNmTURERJjNv+Pjx48xc+ZMrF+/Pt9OczY2Nhg7diy++eYblClTxkAVEhEVjEqlQnR0tMYoUEGmBBeXra0t6tevnysANWjQAGXLls3zdZbawZbBiIyuTJky6Nixo8b6Rfv27cObN29QqlQpI1VGb3N3dxfdHhsba+BKTJ8gCPj888+RmJiosa9Vq1YYM2aMwWpJTk5Gjx49EBkZKbq/du3aCA8PR/ny5Q1WU1ElJCRg4cKF+OGHH0RbyL5twIAB+O6771C1alUDVEdElLe4uDjRltiGWNy+SpUqGqNAXl5eRZpSbKkdbBmMyCT4+flpBKPU1FTs3bsXn3xiOg/llXTagtHz588NXInp27ZtG37//XeN7TKZDOvWrTPYsy1v3rxB9+7dcfz4cdH9devWxbFjxwzeAKKwlEolVq9ejblz5xboYWIfHx8sXrwYTZs2NUB1RES5KZVK3L59WyMEPXnyRO/XLlWqlEYAql+/PpydnXV6HUvsYMtgRCahT58+CAwM1GgfuXXrVgYjE+Lq6gorKyuNaY8cMcotLi4OY8eOFd03Y8YM1K1b1yB1JCUloXv37jhx4oTo/nr16iE8PFzrFElTIAgCtm7diq+//hr37+ffHrZ+/fpYtGgRPvjgA3aaIyK9EwQBz549E22JLbZunS5JJBLUqFFDIwRVrlzZYOsCFbSDbcajK1AkvDT5DrYMRmQSXF1d0blzZ+zfvz/X9v379yMpKQmOjo5GqoxykkqlKFeuHJ49e5ZrO0eMcpswYQJevHihsb1hw4aYMmWKQWpITExEt27d8Mcff4jub9CgAY4dO4Zy5coZpJ6iiIqKwuTJk3Hu3Ll8j61QoQK+/fZbDBkyhJ3miEgvUlNTcf369VyNEK5cuYKXL1/q/dqurq4aAahevXqwt7fX+7Xz83YH25OnTuPGyQ1QKhWQyeSoW78+2g7+BP7+/ibVaEEMgxGZDD8/P41gpFAosGfPHgwcONBIVdHb3N3dNYIRR4z+deDAAWzYsEFju1QqRUhISHZHH31KSEhA165dcfr0adH9DRs2xLFjx/J9uNZYrl+/jq+++gp79+7N91gnJyd89dVX+OKLL0ziDQIRmT9TaIn9dggqX768yY+CZ3WwzaJWqw02cqUrDEZkMnr37g0bGxuNoeetW7cyGJkQsWlXDEaZkpKSEBgYKLpv0qRJeO+99/ReQ0JCArp06YKzZ8+K7m/cuDGOHj1qkt3Znjx5glmzZuGnn37K982HjY0NPv/8c0yfPt1kAx4Rmb7ExERcu3ZNoyW2WOMcXStfvrxGAKpdu7ZBbqAZgrmFIoDBiExI6dKl0aVLF427xAcOHEBiYiKcnJyMVBnlJNaAgVPpMk2bNg2PHj3S2O7l5YU5c+bo/frx8fHo0qUL/vzzT9H9TZo0wZEjR+Dq6qr3WgojMTERixcvRnBwcIE6M/Xv3x/fffcdqlevboDqiMgSqFQq3Lt3T2MU6MGDB3q/tq2tLerVq6fREtuUpzKXVAxGZFL8/Pw0gpFSqcTu3bsxePBgI1VFOYkFI44YASdOnMCqVatE961bt07vC4q+fv0anTt3xl9//SW6v2nTpjhy5AhcXFz0WkdhKJVKrF27FnPnzhV9Jutt7dq1w+LFi9G8eXMDVEdE5iouLk5jYdRr164ZpCV25cqVRVtiW1vzLbc54L8SmZRevXpBJpNBqVTm2r5161YGIxMhNpXu+fPnZjmXWFfS0tIQEBAgum/06NFo3769Xq//6tUrdOrUCRcuXBDd36xZMxw+fBilS5fWax0FJQgCtm/fjmnTpiE6Ojrf4+vWrYuFCxeie/fuJj/HnogMJ6sl9tsh6J9//tH7tUuVKoUGDRpojALpuiU2GRaDEZkUZ2dndO3aFbt37861/dChQ4iPjzeZN3YlmdiIkUqlwuvXr03yuRVDmDt3Lu7cuaOxvWLFili4cKFerx0XF4eOHTvi0qVLovtbtGiBQ4cOmcx/1idOnMCUKVNw5syZfI8tX7485s6di2HDhvFuK1EJVtJbYpPh8H8aMjl+fn4awSg9PR27d+/G0KFDjVQVZdG2yGtsbGyJDEYXL17EokWLRPetXr1ar8/GvXz5Eh07dsTly5dF97dq1QoHDx40iefzbt26ha+++krjZ1uMo6MjpkyZggkTJsDBwcEA1RGRqUhNTcWNGzc0QpAhWmK7uLigUaNGuQJQ3bp1+XuoBGEwIpPTs2dPyOVyKBSKXNu3bt3KYGQCtC0GGhsba7CFS01Feno6hg8frrHgLZC56F337t31du0XL16gQ4cOuHr1quj+Nm3a4MCBA0ZfA+zp06eYM2cO1q1bJ/r3lJO1tTVGjx6NGTNmmPSis0RUfIIgICYmRiMA3blzxyAtsWvXrq0xCvTOO+9wum4Jx2BEJsfR0RHdunXDzp07c20/fPgwXr9+bVIPj5dE2kaMSmJnuuDgYNEpbGXLlsWyZcv0dt3Y2Fh06NAB169fF93ftm1b7N+/36ihKCkpCUuWLMGSJUuQkpKS7/EfffQR5s+fjxo1ahigOiIypKSkJI2W2FeuXDFIS2wPDw/RlthyuVzv1ybzw2BEJsnPz08jGGVkZGDnzp0YPny4kaoiAFrbi5a0znS3b9/G7NmzRfctX75cb21Ynz17Bl9fX9y8eVN0f7t27bBv3z6UKlVKL9fPT3p6OtatW4fZs2cXKCy3bdsWixcvRsuWLQ1QHRHpk0qlwv379zUC0P379/V+bblcLtoSm6PPVBgMRmSSevToATs7O43Wmlu3bmUwMjKZTAYXFxe8fv061/aSFIzUajUCAgI0pnsCmd+7n3zyiV6u+/TpU/j6+uLWrVui+318fLBnzx6jzIcXBAG7du3CV199JdqI4m21atXCwoUL0atXL05dITJDr169yl4MNWdL7IKMEBdX5cqVNTrC1ahRg01aqNj4HUQmqVSpUujevTt+++23XNuPHj2KuLi4EvmQvylxd3fXCEYlaSrd6tWrcfLkSY3tjo6O+N///qeXN/pPnjyBj4+P1tDh6+uLPXv2wN7eXufXzs+pU6cwefJknDp1Kt9j3d3dMXfuXAwfPpxvYojMQHp6Om7fvq0xCmSIltgODg4a0+Dq16/PDrWkN/xfiUyWn5+fRjBSqVTYuXOn1jVjyDDc3d01Ri1KyohRTEwMpk6dKrpv8eLFqFixos6v+c8//8DHxwd3794V3d+xY0fs3r3b4KHozp07mDZtGnbs2JHvsQ4ODpgyZQomTpxotGl+RKSdIAiIjY3VCEA3btwwSEtsLy8vjRBUpUoVtsQmg2IwIpPVrVs32NvbawzLb926lcHIyMTmbJeEYCQIAkaPHo03b95o7Gvfvj1Gjhyp82s+evQIPj4+uHfvnuj+zp07Y9euXbCzs9P5tbWJjY3F3LlzsWbNmnw7zVlZWWHUqFGYNWuW1sYdRGRYaWlpoi2xX7x4ofdru7i4aASgevXqsSU2mQQGIzJZDg4O6NGjB7Zu3Zpre3h4OF68eKG3h9spf2JvcEvCVLpNmzbhwIEDGtttbW3x448/6vzOZkxMDHx8fLQ+uNy1a1fs2LEDtra2Or2uNm/evMHSpUuxePFi0XD4tr59+2LBggWoVauWAaojorcJgoBHjx6JtsTO76ZGcVlZWYm2xK5QoQKfKySTxWBEJs3Pz08jGKlUKuzYsQOBgYFGqorEglFsbCwEQbDY//BiY2PxxRdfiO6bO3euzttMP3z4ED4+Pnjw4IHo/u7du2P79u0GaTmbkZGBn376CbNmzcKzZ8/yPb5Vq1ZYvHgx2rRpo/faiChTVkvsnM0Qrly5goSEBL1f293dXSMA1alThy2xyewwGJFJ69q1KxwcHJCcnJxr+9atWxmMjEhsKl1qairevHlj9AVF9WX8+PF49eqVxvamTZtiwoQJOr3WgwcP4OPjg4cPH4ru79mzJ7Zt26b3Nx2CIGDPnj2YOnWq1k54OdWsWRMLFixA3759LTYgExmbWq3GvXv3jN4SO6srXIMGDThNliyGXoPR8ePHsXjxYpw/fx5Pnz7Fzp070adPnzxfExkZiYkTJ+L69evw9PTE9OnTMWzYMH2WSSbM3t4evXr1wq+//ppre2RkJGJjY/nL2EjyWuTVEoPRrl27NEYugczV00NCQnTaXe3+/fvw8fFBTEyM6P7evXtj69atkMlkOrummLNnz2Ly5Mk4ceJEvse6ublh9uzZCAgIgI2NjV7rIipJXr16pTECZKiW2JUqVdIYBWJLbLJ0ev3uTk5ORqNGjTB8+HD069cv3+MfPHiA7t27Y/To0di0aROOHTuGgIAAlC9fHl26dNFnqWTC/Pz8NIKRWq3Gjh078NlnnxmpqpJNWzCKjY1F9erVDVyNfsXHx+Pzzz8X3ffVV1+hUaNGOrvWvXv34OPjg0ePHonu79u3LzZv3qzXUBQdHY2vv/4a27Zty/dYe3t7BAUFISgoyCIDMZGhpKen486dOxqjQI8fP9b7tR0cHDTWBGrQoAFbYlOJpNdg1LVrV3Tt2rXAx69evRpVq1ZFcHAwAKBOnTo4efIkfvjhBwajEuyDDz5AqVKlNB723rp1K4ORkWhbSdwSO9NNnjwZT58+1dheu3ZtTJ8+XWfXuXv3Lnx8fLSuDfLhhx/i119/1duIzIsXLzB37lysXr0aGRkZeR4rlUoREBCA2bNno3z58nqph8hSaWuJrVQq9XpdiUSC6tWra4wCVa1alS2xif6fSY2Hnj59Gh07dsy1rUuXLvjyyy+1vkahUORafT4xMVFf5ZGR2Nraonfv3ti0aVOu7VFRUXj27Bk8PDyMVFnJlddUOkty7NgxrFu3TmO7RCJBSEiIzp7xuX37Nnx9ffHkyRPR/R9//DE2bdqkl1CUkpKCH374AQsXLkRSUlK+x/fu3RsLFixAnTp1dF4LkSVJS0vDzZs3NUKQIX5Pli5dWrQlNtcQI8qbSQWjZ8+eabzhcnd3R2JiIlJTU0XX6ViwYAHmzJljqBLJSPz8/DSCkSAI+O233zB27FgjVVVyOTg4iDbFsKQRo+TkZIwaNUp037hx49C6dWudXOfWrVvw8fHR2u3tk08+wYYNG3Q+r1+lUmH9+vWYOXOm1kCWU4sWLbB48WK8//77Oq2DyNy93RI765mg27dvG6Qldq1atTRCUMWKFdkAhagITCoYFcW0adMwceLE7M8TExPh6elpxIpIH7p06QInJyeNEcGtW7cyGBmJm5ubRitpSwpGM2fOFO3yVLlyZXz33Xc6ucbNmzfh4+Oj9e9t4MCB+Pnnn3UaigRBwP79+zF16lRcv3493+O9vLywYMECfPjhh3yjRSXemzdvcO3aNY1RIGO0xG7QoAHq1KljsHXMiEoCkwpGHh4eGm8QYmNj4eTkpHVVd7lczj75JYBcLkefPn3wyy+/5Np+8uRJ/PPPP6hQoYKRKiu53N3dNYKRpUylO3v2LJYtWya6b+3atTqZjnL9+nX4+vpq/TsbPHgwQkNDYWVlVexrZTl37hymTJmCyMjIfI8tW7YsZs2ahVGjRum9Ax6RqVGr1bh//75GALp3757ery2TybJbYucMQezCSqR/JhWMWrVqhf379+faduTIEbRq1cpIFZEp8fPz0whGgiBg+/btGD9+vJGqKrm0LfJq7pRKJUaMGAG1Wq2xz9/fH507d873HPktdHv16lV06NABL168EN0/dOhQhISE6CwU3bt3D9988w22bNmS77F2dnaYOHEipkyZAicnJ51cn8iUvX79WrQl9ttThfXB09NTtCU2294TGYdeg9GbN28QHR2d/fmDBw9w6dIluLq6olKlSpg2bRr++eef7De7o0ePxsqVKzFlyhQMHz4c4eHh2Lp1K/bt26fPMslMdOrUCc7OzhpTFrZu3SoajN68ecMHTfVIrDOdJQSjBQsWiE4x8/DwyO6YmZ9FixYhKChINNhcvnwZHTt2xMuXL0Vf6+/vjx9//FEnoejly5eYN28e/vvf/yI9PT3PY6VSKYYPH47Zs2dzBJYsUkZGhmhLbG3t8XXJ3t5etCW2i4uL3q9NRIUg6FFERIQAQONj6NChgiAIwtChQ4X27dtrvKZx48aCTCYTqlWrJoSGhhbqmgkJCQIAISEhQTdfBJmUYcOGiX5PPXr0KNdxhw8fFiZOnGikKkuG6dOna/w7lC5d2thlFcvVq1cFGxsb0e+x7du3F+gc9+/fF2xsbITIyEiNfRcvXhTKlCkjen4AQkBAgKBSqYr9daSkpAgLFiwQnJyctF4r50ePHj2Ea9euFfu6RKYiNjZWOHLkiBAcHCwMHTpUePfddwWZTFagn4fiflSvXl3o27evMGvWLGH79u3C3bt3dfJzTURFU5hsoNcRI29vbwiCoHX/+vXrRV9z8eJFPVZF5szPz0/0++a3337Lbut+9OhR9OrVC5988olhiythxKbSxcfHQ6FQmOVzfyqVCiNGjBAdWfnwww8LtEg1AEyfPh3p6enYvn072rdvn739woUL6NSpE169eiX6ulGjRuF///tfsdYTUalU2LBhA2bMmFGghSHfe+89LF68GN7e3kW+JpExibXEvnr1qkFGr52dnTWmwdWvX58zFYjMmEk9Y0SUnw4dOsDFxQWvX7/OtX3Lli348ssvcezYMfTs2RNpaWlIS0szUpUlg7ZFXp8/f26WnSGXL1+OP//8U2N76dKlsXLlygKd4/z58wgLCwMAbN++HcuWLYNUKsX58+fRsWNHxMfHi77us88+w8qVK4scigRBwKFDhzBlyhRcvXo13+OrVq2KBQsW4OOPP+bCjmQWBEHA48ePNabBGasldoMGDeDp6clOjUQWhsGIzIpMJkO/fv0QEhKSa/uZM2ewfv16fP7559mBKDU11Rgllhh5LfJqbsHo/v37+Oabb0T3/fDDDwVaRFgQBEyZMiX78ydPnuDMmTOwsbFBp06dtLbzHTNmDFasWFHkN1gXLlzAlClTcOzYsXyPLVOmDGbMmIHRo0eb5agelQzJycmiLbG13VjQpXLlyqFRo0a5QhBbYhOVHAxGZNJSUlJgb2+fa5ufn59GMAIyH1rPiSNG+qVtxMjcGjAIgoCRI0eKBulOnTph6NChBTrPoUOHEB4enmvbt99+i1OnTmmsv5Vl/PjxWLZsWZFC0d9//41vvvkme4QqL7a2tpgwYQKmTp0KZ2fnQl+LSB/UajUePHgg2hI7r2n4uiCTyVC3bl2NqXBsiU1UsjEYkUlbu3Yt5s+fj+rVq8PLywteXl6oXLkyZDIZlEplnq/liJF+aXsDYW7B6KefftIINADg4OCAtWvXFii0qFSqXKNFWQ4ePKj1NV9++SWWLl1a6FD06tUrfPfdd1i5cmW+PwMSiQTDhg3D3LlzUbFixUJdh0iX4uPjNVpiX7161SAtsStWrKgRgGrWrMmW2ESkgcGITNr48eOxf/9+HDlyBGfOnCnUazlipF8uLi6wtrZGRkZGru3mtMjrkydPMGnSJNF98+fPR5UqVbI/F/JYm2jjxo0FerYny6RJk7B48eJChaK0tDSsWLEC8+fPL9CUoq5du+L7779Hw4YNC3wNouISa4l99epVxMTE6P3a9vb2qF+/vsazQK6urnq/NhFZBgYjMmlSqRTr169Hw4YNERcXV6jXcsRIvyQSCdzc3PDkyZNc281lxEgQBHz++eeiz/60atUKY8aMyf48PDwcAwd8grnfzsOoUaNyHZuamorp06dnfy6VAOo8ZgFNmTIF33//fYFDkVqtxqZNmzB9+vQCvbls0qQJFi1ahA4dOhTo/ERF9fz5c41pcDdu3IBCodD7tatXr64RgKpVq6azRZGJqGRiMCKT98477+DHH38scLvkLGIjRnnd9afCc3d3N9tg9Ntvv2H37t0a22UyGdatW5f9Bis8PBw9undDGVk6AgMDASBXOFq+fHmu1tjlS0nw9I0gGo6aNm2KoKCgAn8PHjlyBJMnT8bly5fzPbZKlSr47rvv8Mknn7DTHOmUQqHQaIl95coVo7XErlevHhwdHfV+bSIqeRiMyCz07dsXAQEBWLduneh+sbv0b48YrV27FjNnTEfYr5vh6+urr1JLFLHnjMxhKl1cXBzGjh0rum/GjBmoW7cugH9DUbuKAnb6OWDKEUWucBQXF4cFCxZkv3Zscxss6miLXptTEP5ApfE9ef78eZQvXx4dOnRA//790bdvX7i4uGjUcOnSJUyZMgVHjhzJ92txcXHBjBkz8Pnnn7PTHBWLIAj4559/NALQrVu39N4SWyqVarTEbtiwIVtiE5FBMRiR2fjhhx8QGRmJ6OjoXNulksy79P8k5X4XmnPEaM2aNRg9ejQqOknRo3s37N23n+FIB8Q605nDiNGECRNEA1zDhg2zmyjkDEW7+sthay3B8q6ZwSMrHN26dSt7Kt7Y5jZY/oEtJBIJ9gywR89fxcORSqXC4cOHcfjwYYwePRqjRo3CsmXLYG1tjYcPH2LGjBnYuHFjvl255HI5vvjiC3z11Vei4YooL8nJybh+/bpGCHp7jTh9KFu2rGhLbDs7O71fm4goLwxGZDZKlSqFTZs2oXXr1tl3L6USwLeqFX7/xB6Tj6Rh1bn07OOzRoyyQtG45jIs7ChH360KhiMdERsxMvVgdODAAWzYsEFju1QqRUhICGQymWgoAjKfq8oZjrKmrOUMRQBga513OAIy10uZMWMGRo0ahaSkJCxYsADLly/P9/kMiUSCwYMH49tvv0WlSpWK81dBJYBarcbff/+tEYCio6P13hLbxsZGa0tsjgIRkSliMCKz0rx5c8yZMwfTp0/PDkV7BtjD1lqCFV0zF+DLCkdpaWm5QtF/PpBDIpFgV385+mxhONIFsWD08uVLqFQqk3wIOikpKXu0522TJk3Ce++9B0EQMHDAJygjS8dOP4fsUJQlKxwJELDqXLpGKMpiay3B75/Yo8aKN7meOXJ0dMTkyZPx5ZdfQiaTYdWqVZg3b16B7tR37twZCxcuROPGjYv09ZNlE2uJfe3aNbx580bv165QoYJGAKpVqxZbYhORWWEwIrPTvHlzWEsl8K4izQ5FQOYb1pzhSKVSaYQiIPMNK8ORbohNpVOr1YiLi9O6AKwxTZs2DY8ePdLY7uXlhdmzZwPI/D6a++08BAYGYupRRa7vnSxZ32sjm8jQ0F0qevdbEARMPpKWPcVTJpNh7NixmDZtGlxdXfHrr79i+vTp+Pvvv/Otu3Hjxli0aBE6depU+C+aLE5GRgbu3r2rMQpkiJbYdnZ2aNCgAVtiE5FFYjAisyIIAgZ/OggepTLvxovdzc8Zjsa+FYqy2FpLsNNPjporkzFwwCd4+iyWUzuKIK9FXk0tGJ04cQKrVq0S3ffjjz/C3t4++/NRo0ZBEASMHj0aALK/h3J2NZRIJGjkIT4qplarMf6gAqvOpUMikcDf3x+zZs1CpUqVcOzYMUyePBkXL17Mt+ZKlSrhu+++w8CBA9lproR68eKFRgC6fv26QVpiV6tWTWMUiC2xiciSMRiRWcl5N3/KUQWWF+Nu/pQjCjxOVGPN4nkMRUWkLRiZWme6tLQ0BAQEiO4LDAyEt7d3rm0xMTGIjY1FixYtsOLsWRy+l4GWFaXYdycD33WwxaimMq3XWvOXApMOK5CcDrz77rvYtGkT6tSpgytXriAwMBAHDx7Mt97SpUvjm2++wdixY2Fra1uor5XMk0KhwK1btzRC0LNnz/R+bScnJ40AVL9+fbbEJqISh8GIzM7bd/O1hSNtd/MFQcD4AwqsPKfEmjVrNBbspILTNipkag0Y5s6dizt37mhsr1ChAhYuXJj9eVRUFIKXBmPf3n2wklvBtpItHBs6IiYlA3dupkFQAoF703AnTo0lnTUDy+q/FPhsnwIVHCVIF6RYsmQJSpUqBX9/f/z888/5Puwuk8kwbtw4fP3115yaZKEEQcCTJ09EW2JnZGTo9dpSqRQ1a9bUCEGVKlXizSEiIjAYkZnKeoA+r3AkhqFIt8qVK5c9xSwnUwpGFy9exKJFi0T3/e9//4OzszMEQUBwcDAmT54Mh0oO8PjUA86tnGFl92+4VqWqkHA6Aa+OxiH4tAIP49XY+rFd9vfdmr+U+GyfInsto75bFejapTMEiRTp6emi189p0KBBmDdvHqpUqaKTr5uML6sl9tsNEV69eqX3a5ctW1YjANWtW5ctsYmI8sBgRGYrdzgSRDuD5cRQpHvW1tYoU6YMXr58mWu7qUylS09Px/Dhw0UXpxwwYAB69uwJAFi6dCkmT56Mcj3Kwa2fGyRSze8jKzsruPq6wsXbBc93PMdve1/Ab1sqtvnZY81fSozel5arQ92u/vL/b9eddyjq0KEDFi1ahCZNmujmiyaDY0tsIiLLwGBEZi0wMBDHjx/HyrAwBLwry54+F5OgxvpL6bj7So0khQBHuQSOMuB/f6Vj0KBBDEU65ObmphGMTGXEKDg4GJcuXdLYXrZsWfznP/8BkDl9LigoCOV6lIP7R+LPTOUkkUrg/pE7BAj4be9LdNqQjKP3VaLdD/Nay6hBgwZYvHgxOnfuzDewZiQhIUFjBOjq1atGa4lds2ZNyGTan3kjIqKCYzAis7ZmzRqEhYVhbPPMRgtRf2cg+IwS++5kwEouga2nHWAnBVLVSLuTCkiATZs2wcPDA0uWLDF2+RbB3d0dN27cyLXNFILR7du3s1twv2358uUoV64cACB4aTAcKjnA7cPCddFz7+eONxeScPS+QiMUZRFby6hixYqYN28ePv30U3b3MmEZGRmIjo7WGAV6+PCh3q9tZ2eH+vXra7TELlOmjN6vTURUkjEYkdnKuXjrsi4yBJ9WYvIRBRwqyOEx2C3vZ0SCg/Hw4UNs3bqVd+uLSawznaGm0j1//hxnz57NnhKXRa1WIyAgQLSlcY8ePfDJJ58AyOw+t2/vPnh86lHo7wOJVAKXjq54tuEpglrZ5LuWka2tLWbPno3x48fzOQ8T8/LlS9GW2GlpaXq/dtWqVTVGgapXr87QTERkBAxGZJZyhqL/fCDH0v8PRYV6RuS33+Dn54dt27YZ4SuwHGKd6Qw1YhQcHIwfli7BD8uWY8yYMdnbV69ejZMnT+Y6VioB5LZ2+N///pcdYtavXw8ruRWcWzkX6fqlW5XGy63PsP5yBma2z/1GVhAEjDuQhlXn0iGT2SAmJiZ7lIqMQ6lUirbEfvr0qd6v7ejoKNoS28nJSe/XJiKigmEwIrOzdu3aXKHo+EMVgv4/FBX6GZHffkNQUBCn1RWD2IhRbGxsrsVQ9SE8PBw/BC+Bm72AsWPHwsbGBqNGjUJMTAymTp2qcXz5UhK8SEvHnTt3ULFiRQDA3bt3YVvJNtfIYmFY2VnB1tMW0a9yt1nOGYqsra1w4MBBhiIDMoWW2A0aNMgVgipXrszRaSIiE8dgRGZFEATMnDEdFZ2kWNgx85mO4DNKOFSQF+kZkaTzSVi5cgUWL17MNy1FJBaMlEolEhMT4exctJEYbbLCVnh4OHp074b2lSX4/RMHTD6ShsDAQAiCgN27d2s8CJ+zhXaP7t2wd99++Pr6IikpCSju+qm2VkhU/Nt5LmcosrG2xsFDh+Dr61vMi5A2KSkpuH79ukYIMkRL7DJlyqBRo0ZsiU1EZCEYjMisSCQShP26GT26d0PfrQos/8AG++5kwGOwW5GeEXHt5IpnG5/h8ePH8PT01FPVli2vRV51GYzCw8MxcMAnGDjoU6z+33/xfkU1dve3h621BCu6ZqabrHWtpBJkd4F7u4V2ny3/hiNHR0eguI+RpKngZPfv996VWDVWnUuHlVTKUKRDarUaDx8+1AhAd+/eNUhL7Dp16mhMhfPwKPyzaUREZLoYjMjs+Pr6Yu++/ejRvRu6haXBSi4p3jMi214iNDQUM2fO1HGlJYPYiBGQGYxq1qypk2tkjRA5SJX4z7If0LGaDXb3t4WtdeabUonk33C06lw65FZAakbuUARkdonLGY78+n+CtJg0qFJVRZpOp0pVIe1RGrxa/tsuuaG7FGOa2WDVuXRER0czGBVBYmKiaEvspKQkvV/7nXfe0QhAtWrVYktsIqISgMGIzFJWOOrcqRPk1Yr5jEglW0RHR+u4wpJDWzDSVWe6rFD0fgU1Lj3LfFZoV45QlOXtcPR2KMpiay3BTj85aq5Mxr69e6BSZHYrdPV1LXRt8afjoVII8G9so1GHBJLsRYi5bpY4lUol2hL777//1vu1bW1tRVtily1bVu/XJiIi08RgRGbL19cXLVq2xJWkK8U7kTzzDjUVTV5T6YorKxS1qyhgV39b/HI5HYF70zDlaJpo6MkKJSObZK5rpa2F9pQjCjxOVGPNmgXYvHkzTh09BRdvF9FuhtoIagGJx16hRy1reDpLNepY3lUOAAxH/y+rJXbOkaBr164ZpCV2lSpVNEaBvLy82BKbiIhyYTAis1atWjVc+bOYwUgBtswtBjs7Ozg6OmpMcypuMModiuSwtZZgVFMZBAEYvS/zzbRYOHqUKGD37QwsOa1GkkKAo1yCGq5SDGtsA08nCcYdUGDVOSXWrFmDdu3a4auvvoLitQLPdzwvUFfD7K9vRyxSnijQu4etaAe+khqOTKElds6OcPXr19d5ExAiIrJMDEZk1mrUqAHFdkXxnhGJSYPXQC89VFdyuLu7awQjsal0KSkpsLW1hVQq1diXkyAIGDjgE5SRpWOnn0OuaXOB72U+6/F2OIr6OwPBZ5TYdycDVnIJbD3tADspkKpG2plUzIlSoFJpCf5+LWD27Nlo3749vL298fr1awDAi70vIECAez/3PEeOBLWA2B2xeLn3JVp7SjFiTxouxqqx/AO5aDha1EmOXbczMHPGdIwcOdJiHtYXBAFPnz7VCEA3b940SEvsGjVqaIwCsSU2EREVB4MRmbVhw4Zhzpw5xXxGRAV/f389VFdyuLm5aTyn9faI0d69ezF//nz88ccf+Z5PIpFg7rfzEBgYiKlHFfjPW6EjZzgSBAGVna0w5agCDhXk8BjsBudWzrmCsio18zmiJ0deAlAiNTUV3t7eePbsWa7rvtz7EonnE1GmUxmUblVa4xzxp+OReOwVkv9RoLWnFKceqQEAK/9UAoBGOErLENB3qwJxShvs3blZZ2/aBUHArl27kJaWhgEDBujknHlJSUnBjRs3NEJQXFyc3q/t6uoq2hLb3t5e79cmIqKShcGIzFqlSpXQvUd3hEeGF+0ZkYhE9OjZg626C0ihUGD27NkYNGgQ6tevn71d2yKvABATE4MvvvgCu3btQs+ePQscDkaNGgVBELJbcIuFo+MxGVh1LgNABsr1KAe3fm6i3wNWdlZw9XWFi7cLnu94joULF2q9rvKpEk9/eYpnm5/B1tMWVvZWUKeokP5PGlQKAT1qWsOqthV23lJBJpOhRYsWkMvlWHn0KIB/w1FahoA+WxQ4/liSvW5ScQmCgD179mD27Nm4ePFigUJmYc+vrSW2Wq3W6bXeZm1tLdoSu3z58hwFIiIig2AwIrMXNCkIe9rvKdozIo9TMGnjJD1WZ1nkcjmePHmCBg0aoGXLlhg5ciT69+8vGoyePHmC4OBgzJo1C8nJyQCA9957r1DXy3o2RywcrflLibCrmVO2yvUoV6B/e4lUAveP3CFAwMu9L/M8VlAKSL2Xmv15NRcJDgY44D9nlVh1LgMzZszAzJkzYW2d+Wt0zZo1GD16NCQAFnaUo+9W3YUiQRBw4MABzJo1C3/99ReAzMVFW7RoUeRzZrXEfrsttiFaYpcvX14jANWuXZstsYmIyKgkgr5XxjOwxMREODs7IyEhgQ/UlyDBwcEICgpC2R5lC/WMyJIlSzBpEoNRYZw6dQpt2rTJ/tzR0RFubm64d+9evq/dv38/unbtWuhrZoWOsc1lWP6BHGvPp2P0vjRUdZHgub0MVeZ5FWpUQVALuPvNXSifKrUeU7lyZTRv3hwtWrSAlZUVvp72FcrI0v+/m90a0UYKWXVWdJJmTp8rZigSBAGHDx/GrFmzcPbs2Vz7Bg0ahI0bN+Z7DmO3xK5Xr55GS+xy5crp/dpERERA4bIBR4zIIkycOBEAEBQUhNTLqXDycdL+jEhEIpIfJWPJkiXZr6OCa9WqFerVq4fr168DAJKSkgo8ylDYEaMsgYGBOH78OFaGhaG0HJh3QolhjWzwy5V0ePQsU+ipVhKpBGU6lcHTXzI7pZUuXTo7BDVv3hzNmjXTGAVr2LAhBg74BGsWz9PaXa5r167o2bMnjhw+jCZNmyI0NBQnT57EsGHDUKlSpQLXJwgCwsPDMXPmTJw6dUr0mB49emhsi4uL0whA169fR2pqqsgZdCtnS+ysrnBeXl7ZI2pERESmjiNGZFGOHz+O4KXB2LtnL6zkmYu3Qg5AAaTFpEGlUKFHzx6YNHES2rVrZ+xyzdby5cvxxRdfFOo1lStXLvIoRdZIjHcVK0T+rcK45jKUsQO+O5sOrx9qF7kj4Z0v72BM4BgsW7asQOFKrC03AERFRSF4aTD27d337/edLYC0f7/vuvfojqBJQfl+30VFRWHmzJk4fvy41mMkEgkiIyPx6NGjXCHoyZMn+X4NxVWqVCmNaXBsiU1ERKaKI0ZUYrVr1w7t2rXDo0ePEBoaiujoaCQmJsLJyQleA73g7+/PRgs68Omnn2Lq1KmFWpyzWbNmRbpW9jS6ZjbYdiMDFZ0kWNhRjlF702DraVekUARkNmSQVZTh9evXBR5xevs4QRAQHByMyZMnw6GSAzw+9dDaES88Mhx72u/JHql8+1wnT57EzJkzERERkW8dgiCgffv2Baq5qCQSidaW2Pm1WyciIjJHDEZkkTw9PTFz5kxjl2GxXF1d8fHHH2PDhg0Ffk1RglFWKBrXXIb/fCBH3zoq9AhLQd8tKbCxkmSuU1QM1g7WSExMLPLrly5dismTJxeqI15QUBAAZD/bdvr0acyaNQtHjhwpch3F5erqqhGA6tWrx5bYRERUojAYEVGRjBo1Sm/BKCYmBmPHjsWePXtQtbQEr1PV+Pa4EsMa22DvQHv0CEtBaVsJUL6YLaQVKPKU26ioKAQFBRWpI15QUBBKlSqFXbt24eDBg0W6flFYW1ujdu3aGiHonXfeYUtsIiIq8RiMiKhI2rRpg7p16+LGjRsFOr5Jkyb5HpPzWR1YA/Zednhpb4XdqWqknUnFnCgFute0xvwOckw+ooA6JhWqVFWRnzFKi0mD10CvQr8WAIKXBsOhkgPcPnQr1Ovc+7njzYU32S3I9SVnS+ysZgi1a9eGXC7X63WJiIjMFYMRERWJRCLBqFGj8OWXX+Z7bK1atfJ8OL9Qz+oci8OeQwrUcAXuvhKQcDoBrr6uha4//nQ8VAoV/P39C/3amJgY7Nu7Dx6fehSpI55LR5fsjnjFJZfLUb9+fbbEJiIiKiYGIyIqssGDB2Pq1KlQKBR5HpffNLqiPKtzd+8LuLi6IO5oHFy8XfJcu+ptglpAYkQievTsUaRmHOvXr4eV3ArOrYrWia10q9J4tvkZBGXRm4JKJBLs378fHTt2ZEtsIiIiHWBrISIqsqwmDPnJa/2it5/VyS/gZD2rU7ZHWbx+9RqKJwo83/G8UHXH7ohFyuMUTJpYtMV97969C9tKtsXqiGfraVuk12YRBAGzZs2CWl3M56yIiIgIAIMRERWTtsVOc8prxKg4z+o4eDqgbr26eLH3BZ799gyCOu8RGEEt4Nlvz/By70ssXry4yGtZJSUlZa5TVAxW9lawsipasMry559/Ytq0acUrhIiIiABwKh1ZEG2Lbxb1OCqYtm3bok6dOrh586bofisrKzRu3Fh0X3Gf1XHyccLNDTcxffp0zJs3D6mXU+Hk44TSrUprPJ8UfzoeiRGJSH6UnL2WUFE5OjoCBV/CSbx+pQQDBw7EsmXL8OjRI8TExODRo0fZH1mfP378GBkZGVrPs3TpUnh7e6Nnz57FK4iIiKiEYzAiixAeHo6BAz7B3G/n5TmCsXbtWsycMR1hv26Gr6+vASu0XFlNGCZMmCC6P6/1cHTxrM7LbS9hY2OT3dFu78a9eLntJWwr2QJyAAogLSYNKoUKPXr2wKSNk4o8UpSlRo0aSNueppOOeK6urnB1dUWjRo1Ej1Wr1YiNjdUanB49eoThw4fj/PnzqFSpUrG+LiIiopJMIghC0Z/+NUGJiYlwdnZGQkJCkdcnIfMSHh6OHt27oYwsHY8T1VizZo1oOMpaLLSikxRxShvs3bef4UhH4uLiUKFCBdEmDCNGjMC6detEXzd48GDsPrcbladVLvK1Hy54iD7N++CXX34BADx69AihoaGIjo5GYmIinJyc4OXlBX9//yI1WhATExODqlWrwuNTjyJ1xIsLj0Psxlj8/fffOqlJqVRCqVSiVKlSxT4XERGRJSlMNuCIEZm1rFDUrqKAnX4OmHJEgcDAQAC5n33JCkXjmsuwsKMcfbcq0KN7N4YjHSlTpgw++ugjbNq0SWNfXs8X6eJZHcgzf+ll8fT0xMyZM4t50rxVqlQJ3Xt0R3hkuME74omRyWSQyWQ6ORcREVFJxeYLZLZyhqJd/eWws5FgeVc5xjaTITAwEGvXrgWQOxT954PM43b1l6NdRQE9undDeHi4kb8Sy6BtCuPFixcRExMjuk8Xz+pAAaOMDgdNCkJyTLLBO+IRERGRfjAYkVl6OxTZWmfesZdIcoejQYMG5QpFWQ/421ozHOlSVFQUlgQvAQBIZBLYedmhVINSsPOyw0+//ISqVauiV+9eOH78eK7X1ahRI/P5n1RVka6b/ayOl1exv4bCateuHZYsWaLTjngWNrOZiIjIrPAZIzI7giCgvIc7bNLicGesA+xsNKcxCYKA8QcUWHlOqRGKckpNF1BzZTLSbcvg6bNYdqsrJEEQEBwcjMmTJ8OhkgOcvZ3h3MpZoyNcwukEJEQmIDnm345wEonE5J7VKSxBELB06VIEBQXBwdMhz4548cfikfpPaq6vPyc2BiEiItK9wmQDBiMyS2vXrkVgYGCeoUcQBFyJVaOhu1Tr/qzwpK1hA+UtODg4e3FWt35ueT5rI6gFPN/xHC/2vsCSJUswaVLmVLJevXsh/FI4qsyuUuhndf6e9Tc6NOmA3bt2F/trKY7jx49ndsTbsxdWcqvsjnhCmoDkv5MhKDN/zU6aNAlLlizReD0bgxAREelHYbIBp9KRWRo1ahRWr16NFX8q8cVBhegUJIlEgkYeVgxFRZTfPZOoqKjsUOT+kXu+oUYilcD9I3eU7VEWQUFB2dPqLOFZnXbt2mH3rt34+++/Mf2r6ejTvA8alGqA1OgUVCslxZ2xDhjbTIbg4ODsZ9+y5HwG7s5YB07vJCIiMhIGIzJbgYGB+YYjMQxF+QsPD0d5D3eNN/E5BS8Nhl1FO7h96Faoc7v3c4eDpwOClwYD0M+zOsaS1RFv2LBhuHjhPDpWs8a1z+xRo4wVG4MQERGZOLbrJrOW1Zp79OjRAKB1Wl0WhqL85VwXSqz1OZC5js/ePXtRfnD5Qj+XJZFK4OTjhL0b9+LRo0fw9PTExIkTAQBBQUFIvZya57M6iRGJSH7077NKpia/xiBA5vdtVFQUwsLCtDYG6bOFLeWJiIgMic8YkUUYNGgQwsLCcCnQAY08rLQed/mZCo3XJGPQoEHYuHGjASs0D7nXhZJjyhHxENmrVy/sPbQXtf9TO1d4KShVqgrRE6Mx/avpudYc0vasDhTI7F6nUKFHzx6YNHGSSY0UZWFjECIiItPCBV6pRFmzZk32nfeG7nnPDm3oLsXYZjKs3LQJ7dq144hRDmIjHTlHOIDMkaM1a9Zgz549cPCyK1IoAgAru8zQEx0dnWt7u3bt0K5dOzx69AihoaGIjo5GYmIinJyc4DXQC/7+/kbpPldQEokEc7+dh8DAQEw9qhANPVkjRwFNbPJsDDLliAKPE9VYs3geQxEREZEBMBiRWXv7GY383kC+PZ0J0L4waUlS2OlfVUtL8NK+aKEomzzzLo6YrGd1zNGoUaMgCEKe0zuzGoOI4XRPIiIi42AwIrNV2FCUheEoN0EQMHDAJygjS8dOP4fsUJQl59/Xyv8fmXudqsbuVHXxLqyAxU53Leyzb1kYioiIiIyHXenILK1duzbfUCQIAi4/U2lt5S3WJawkypr+9ThRjalHtbc+X95VjkuBDvjPB3LUKGOFtEepUKWqinRNVaoKaTFp8PLyEt1vCY8+FrZrIkMRERGRcTEYkdkRBAEzZ0xHRScpFnbUHorGH1Cg8ZrkPNc5WtRJjopOUsycMd0i3owXVWHXhRrW2AYqhYCE0wlFul786XioFCr4+/tr7Fu7di3Ke7hbRKvqwMBADBw4ECv+VOJKbN4jbFdi1Vh5TolBgwYxFBERERkBgxGZHYlEgrBfNyNOaYO+WxVIy8j9Jj7nnfdBgwZpfbOfliGg71YF4pQ2CPt1c4l/wL0wIxyVnKXoXtMaCcfi8l136G2CWkD8sXj06NlDo5HCmjVrEBgYCJu0OItYx6cojUE2bdpUokcwiYiIjIXBiMySr68v9u7bj+OPJeiz5d9w9PZ0pI0bN4q+2U/LENBniwLHH0u4TkwOhQlHQa1kSP5Hgec7nhfqGrE7YpH6TypqeNXItT3nM2N3xjqY/SKnRW0MwumdRERExsFgRGbr7XCUmi7+jMbbb/ZT0xmK8lLQ6V/tKltjYksZXux9gWe/Pct35EhQC3j22zO83PsSbTytEBwcnP3m/+0QYWeTucipuYaj4jYGYTgiIiIyPC7wSmYvq9V0GVl65rovWh5cz3qzWtFJijilDUORFoV5U69Wq9FufSr+eKSCXQU7lO5QGqVblc61vpEqVYX40/FIPPYKyf8osKSTHBNa2uCLg0qsPKfEwIEDs6ebvX09cxzZW7t2LQIDA/NtDHIlVp3nOkZsxEBERFR8hckGDEZkEcLDwzFwwCeY++28PN9Erl27FjNnTEfYr5vN4k22oRVlpEMQBHy4NRU7b2VAIpHA2tYatpVsIcgEqFJUyPgnDSqFgB61rDGppQztKltnvy7rzX9e10tNF1BzZTLSbcvg6bNYk34WTBAElPdwh01aHO6MdYCdTd6hx1K+biIiIlPFYMRgVCIJglDgN/J8k6mpqNO/gNxv9nv27InSpUvjypUruHz5MlpUsMLWj2xRqbTmgqaWOHKibbFcQLMxyKZNmyxmpIyIiMgUFSYb8BkjshiFeY6DctPlulB79uxB27ZtcenSJaxevRpn/1Fhyen0fFuAi13P3EIRwMYgRERE5oojRkQlnL6nfxV1ep45hqKcco4c7fSTY8oR8a8n59/Pwo5y9N3KUERERKQrHDEiogLT97pQhWkB/vb1zDUUAblHjmquTNb69eT8+6m5MpmhiIiIyEgYjIhI79O/CtoCHACuxKqzQ5i5hqIsWX+v6bZl8gx5gYGBWLNmDdJtyzAUERERGQmn0hFRNn1N/yrMdDpLGTHKiY1BiIiIjKMw2cDaQDURkRnIGuHo0b0baq5M1rouVGBgIABg9OjR2HkrI891oQr7jFFWI4ec1zH3cMTGIERERKaPU+mIKBddTv8qagvwnF3uAgMDsXbt2mJ9TURERET54VQ6IhJV3Olfa9euRWBgYL4twC1tHSMiIiIyHVzglcGIyKj03QKciIiIqCDYrpuIjErfLcCJiIiIdI3BiIj0Qt8twImIiIh0icGIiPTm7XCUmi7+zNDbi8CmpjMUERERkWEZJBitWrUKVapUga2tLVq0aIE///xT67Hr16+HRCLJ9WFra2uIMolID3KGo5ork7U2UsgZjmquTGYoIiIiIoPSezDasmULJk6ciFmzZuHChQto1KgRunTpgufPn2t9jZOTE54+fZr98fDhQ32XSUR6pMsW4ERERET6oPeudC1atECzZs2wcuVKAIBarYanpyfGjRuHr776SuP49evX48svv0R8fHyRrseudESmq7gtwImIiIgKw2S60imVSpw/fx4dO3b894JSKTp27IjTp09rfd2bN29QuXJleHp6onfv3rh+/brWYxUKBRITE3N9EJFpKswCr0RERESGpNdg9PLlS6hUKri7u+fa7u7ujmfPnom+platWvjpp5+we/dubNy4EWq1Gq1bt8bjx49Fj1+wYAGcnZ2zPzw9PXX+dRARERERkWUzua50rVq1wpAhQ9C4cWO0b98eO3bsQLly5bBmzRrR46dNm4aEhITsj0ePHhm4YiIiIiIiMnfW+jx52bJlYWVlhdjY2FzbY2Nj4eHhUaBz2NjY4N1330V0dLTofrlcDrlcXuxaiYiIiIio5NLriJFMJkPTpk1x7Nix7G1qtRrHjh1Dq1atCnQOlUqFq1evonz58voqk4iIiIiISji9jhgBwMSJEzF06FC89957aN68OZYtW4bk5GT4+/sDAIYMGYIKFSpgwYIFAIC5c+eiZcuW8PLyQnx8PBYvXoyHDx8iICBA36USEREREVEJpfdg1L9/f7x48QIzZ87Es2fP0LhxYxw8eDC7IUNMTAyk0n8Hrl6/fo2RI0fi2bNncHFxQdOmTXHq1CnUrVtX36USEREREVEJpfd1jAyN6xgRERERERFgQusYERERERERmQMGIyIiIqK3qNVqY5dARAbGYEREREQl3oULFzBu3Dg0btIUcrktrKysIJfbonGTphg3bhwuXLhg7BKJSM/4jBERERGVWNHR0RgRMBLHoyIhdy4La89GkLlVg1RuB7UiFcrn95Hx6DIUCS/Rrr03Qtb9CC8vL2OXTUQFVJhsoPeudERERESmKCwsDMNHBAD2pVGu79ew82oBidRK4zhBrUJq9FmcjQpF/QYNEfpTCAYMGGCEiolInxiMiIiIqMQJCwvDp59+Coe63nDpPAZSma3WYyVSK9jXbA3bKk3w+vAqDBo0CIIgYODAgQasmIj0jVPpiIiIqES5e/cuGjRsBJvqLeHafQIkkoI/ci0Iarza9wPS753BtatXOK2OyMSxXbeJYWcbIiIi0xEwchQk9i5w6TymUKEIACQSKVw6jwHsS2NEwEg9VUhExsBgpAfsbENERGSazp8/j+NRkXBsPyzP6XN5kcps4dTOH8ejIvl/OpEFYTDSoejoaLT39kHTpk3x44bNiE53gUPbISjTdTwc2g5BdLoLftywGU2bNkV7bx9ER0cbu2QiIqISZf369ZA7l4OdV4tinceuRgvIncsiNDRUR5URkbGx+YKOsLNN0QmCgPT0dMhkMr1dIyYmBuvXr8fdu3eRlJQER0dH1KhRA8OGDUOlSpX0dl0iIio6lUqFlJQUpKSkIDk5Ofsj5+d57RP7/MHDGMhqtBH9P7owJFIrWHs2xMlTp3X01RKRsTEY6QA72xSPRCLBhx9+CGdnZ/Tr1w9dunSBg4ODTs4dFRWF4KXB2Ld3H6zkVrCtZAvYAkgD0ranYc6cOejeozuCJgWhXbt2OrkmEVFJoVarkZqaWuhwUtDP09LS9FC1BKXcqunkTDK3arhxcoNOzkVExseudMVkDp1t1Go1pFLTnjV58OBBdO3aFQBgZ2eHLl26oF+/fujRowdcXFwKfT5BEBAcHIzJkyfDoZIDnL2d4dzKGVZ2/94hVKWqkHA6AQmRCUiOScaSJUswceJESCQSnX1dRETGJAgC0tLSdBpWcn6ekpJi7C+xSMp0HY9SDTsX+zxvrhxG3IHlUKlUJv//LFFJVZhswGBUTO29ffDn1TsoN3R5kR7iVCvT8PzncWjRoBaiIiN0UtOFCxcQGhqKE3+cws3r16FUKiCTyVGnXj2836Y1/P390aRJE51cS1cEQUDTpk1x8eLFXNutra3h6+uLfv36oXfv3vDw8CjQ+YKDgxEUFIRyPcrBrZ8bJFLtYUdQC3i+4zle7H2BJUuWYNKkScX6WoiICkoQBCiVSp2EFW3BhZ1R3yaBi28AnJr1LvaZEs/tQvLJDVAo9DGyRUS6wGBkoGB0/vx5vPfeeyjX92vY12xd5POk3D6FF7vm4/z588UKLNHR0RgRMBLHoyIhdy4La89GkLlVg1RuB7UiFcrn95Hx6DIUCS/Rrr03Qtb9aFLrL/z222/4+OOPte6XSCRo06YN+vXrh759+6JKlSqix0VFRcHb2xvlepSD+0fuBb7+s9+e4eXel4iKiuK0uhLAkM+dZWRkICIiAjt37sSiRYtQqlQpnZ6f9Cs9PV2nYeXtz1UqlbG/xJJFIoVDPR+U7T6h2Kd6uW8pasgScPH8XzoojIj0oTDZgM8YFYMuO9tYOZSGj48PypcvDxsbG1hbW8PGxqbAf37w4AEio6IgLVWmQM0fzkT8hLp16+Gzz0bDx8enSNd8+8/FnYLWr18/1K5dG7du3RLdLwgCTp48iZMnT2LixIlo0qQJ+vXrh379+qFOnTrZxwUvDYZDJQe4fehWqOu793NH6uVUBC8NZjCyYIZ67kytVuP06dP49ddfsW3bNjx//hwjRoxgKNKDjIwMnT6c//bnGRkZxv4SqQBsbW3h4OAAe3t7ODg4ZH/k/Nze3h5nzpzB9XsXIahVxWrAIKhVyHh0BW0Hf6LDr4KIjIkjRsXQuElTRKe76OyuU/L1SEAo+pQH+7reKNNlbIGm9KmVaYg7tBIpNyKLfL23WVlZFTlYZX1+69Yt3Llzp9DXrl27Nvr164fWrVujV69e8PjUA66+roU+T1x4HGI3xuLvv/+Gp6dnoV9PpssQz50JgoBLly7h119/xZYtWxATE5Nr/7Vr11CvXj2dfl3mQKVSITU1VS8P5ycnJ0OpVBr7S6QCkMlkomGlIGEmv2Pt7e1hZVWwkHPhwgU0bdrUZGZ7EJF+ccTIQG5evw6HtkN0ci6ZWzUkXyviM0YSCezrtEfZHhML3PxBKrNF2R4T8RJAys0oQAf5WKVSQaVS6amLUN5u3bqF+fPnAwCkMimcWzkX6TylW5XGy20vERoaipkzZ+qyRDKypUuXYvLkyXk+d2ZlZwVXX1e4eLvg+Y7nCAoKAoB8nzu7desWNm/ejM2bN+P27duix3zwwQcmG4rMs7MY6Zq1tXWBw0pRwoy1tWm85WjSpAnatffG2ahQ2FZpUuTngxOPh6Jde2+GIiILYhq/pcyQWq2GUqmAo9xOJ+eTyu0BFCGcSKSwciyLMl3GFqojHgBIJFKU6TIWisfXoUqKK9ZolSmRV5LnGgUoDCu7zKlVXHzXskRFRWU34yjIc2cSqQTuH7lDgICgoCA0a9ZMY1rdw4cPsWXLFvz666+4dOlSvucsTlMPXXUW07bPXDuLlTRWVlZFGk0p6Oc2NjbG/hINJmTdj6jfoCFeH15VpI6yrw+vAlLiEbLuRz1WSUSGxmBURFKpFDKZHGpFqk7Op1akAJCg0OFIUMO1Q0CR7ngBmSNHrr4j8WLX/7V373FR1fkfx98zyMwICt5R13uYZqampemWErnZqpXVbnnJCm/UT+2i1VZbmmbZRW3bdDftoq1JdtVK28pCsdKsNG9dTLxkloBgAnIZYOb8/nAhcQZkYG4Mr+fjwSP5zjmHz3CYmDffcz7fx6q1fzCqbigqYz057YrQ4a37ztLT0/XGG2/o1Vdf1aZNm6p8nMaNG+vXX3/Vc889V+2WyHQWC34mk6nal4JV5XOLxcJyAl4SGxurpS+9qDFjxkjSGdcgLOUsKtRvHy1S3ncbtGLFiqBqYASg5ghGNXDOuecqNWO/V45VlLFfzVu00F+uu1bFxcUqKSlRcXGxy79P/Tw1NVVZ+cVeaf5gjmgkZ/5xrzyXQHMU1LDDk11+afUO/zh06JDWrlmrlje29PhNpclsUtSlUXpv+Xu65JJLtGnTpmoFlN9++00333yzx/vB+6oaWKoTXmw2G8GlFhk1apQMw9C48ROU8fIPihqYoPqdK2lctHeLcjYulfKPa8WKFRo1alQAqgbgSwSjGrjkjwP0w/KVXutsc8PYkXr22WervF+v3n2UV9y4Rl9bkkzmMNXv1Ltc84eGDRuqUaNGatSokaKjoxUVFaWoqCg1aNBADRo0KHfDa3h4uBwOR4VhrqJg5+7f3377rdLT06v9XJo2barjh4/LUeCo1syRo8ChwkOFih3t2V8B/dn6GZ5ZtmyZzNaa3XeWtjJNn332mZcrgzulncV8cZO+zWZjEU6UM3r0aPXt2/fkUherH/vfUhc9/rfURYSc9vz/LXWxU/bsTA2Ku1QvPL+EmSIgRBGMaiAhIUELFy5UQeqWGnW2Kdi7RfbsTCUkJHi0ny+bP+Tm5io3N1c///zzGfcNCwtT8+bN1bx5c7Vo0eKMH5GRkW7/qpqfn6+zzjrLo7obNGigyy67TFdccYWGDBmisLAwdezYUdmbs6vVle745uNy2B1VPhf+av2M6vv0008V/ofwmt131tamgn3euWy2trNarV69r+X0fxNc4G+xsbFK2bC+bHH0zzZt1nefLS9bHL1b9+66eOzIoFwcHYB3EYxqIJCdbYKm+YNOdqNLS0tTWlpalbavX7++28C0e/fuKh2jV69eZUFowIABslgs5R4fNnyYkjckq3FcY7edxypiOA3lrM/R8CuHn7FV9+mtn1ve2LLC1s/JG5L13qD3PG79jJpLTk5WcnKyIrpH1Og4YRE1vG/Nj8LDw312n0swdRYDvK13797lfg87nU6COlDH8BuuhgLV2SZomj9UQ0FBgX766Sf99NNPVdreZDKpQYMGatWqlWJjY9WuXTtZLBZ9++23Onr0aLlw1bhxY909/W69N+g9ZbydUaUOZKXS305X3s95ajGkhY4cOaJWrVpVuK0vWz/DOwzD0OhRI2ULc8pUUL3GBUVZRTr+2XEVHiyQ2SQ5vfDyKO0s5qvwUpc6iwG+RCgC6h4WePWCV199VWPGjFFkt7hqd7apzk2cwbbAbGWq+qaypm8+Sy/rM5lMOnLkiJoNb6aYa2MqnTkynIbS305X5prMcscZPny4Jk2aVHaJXqmUlBTFxcVVufVzqbQ305S5JlMpKSlcVucnS5YsUWJiosKsJp39j65Vvpwu74c8ZX6YqdztuTJbzbK2OdkCvvQeNKPI8x/SdevWaeDAgQoPD6901rC4uFhms7nKi1UCAICKeZINCEZekpSUpHHjJ0gRjTzqbLP0pRer3dlm6tSpen75SsVMerHGzR/SFo/X0PiLNXLkSGVkZFT4UZ021maT1KqBSb/knvlH7Q8NTTpywvDKX+ZLWVpZ1PRPTdWofyOXS92Obz6urHVZKjpSVOH+bdu21bhx4zRu3Di1a9dOV119lZK3J6vDrA4eXRZnOA0dnHlQl/W+TO+sfqdGzwlVN3fuXD3wwANqfVPrM953ZhiGsj7IUtprabK2sappfNMKL5E89skxFf5S9YVL4+LilJyc7PIzU1hYqC+//FIpKSnauHGjnE6n1q1bx1+rAQDwAoJRAIKRJKWmpp7sbJOywS+dbbZt26Y+ffqo+TUP1Kj5Q/6eTTq6+jFt3br1jPc5FRYW6ujRo5WGp9KPtLQ0OR0liu8YpndHRuiedYVa9FVxhcee0jdcTw626aqV+Uo+4PBqOJIkk8UkW1ubwiLC5Mh3qPBnz/7ybzKZFBcXpw0bNqjV2FbVau6QlZyl9FfSdfDgwTPexwTv6dmrp37I+EGdH+1c6exh5n8zlfZaWqWXSJYynIYy3s7Q0TVHdfnll6uoqEibN2+W3W6vcJ93331X8fHx2rRpkzZu3KiUlBRt2bJFRUW/B/NNmzapf//+1XuiAACgHIJRgIJRqXKdbXbvLt/ZZkB/r3a2GRR3qbbs2qMWNz9b7eYPGS9PVb/zuihlw/oz71BFycnJGj5sqAa2MbT6Bqts9UwyDENT/2vXoq+KdOmll6pFixb65ptv9OOPP2pKX4v+eYVVJpNJhSWGrnzVN+HIG0wWk7o+U/XLsk7lKHAodVqqHrzvQc2YMcMH1cGdjRs3atCgQZVe/pj3Q54OPH6gRpdIXnjhhfriiy+UnJys9evXa8uWLSopKSnb1mazqaSkpNzYqUaOHKlXX33VsycHAAAq5Ek2oPmCD/izs02gmj9Uxl0okk7OuDz7Z6tMkhauX6/Ro0frxx9/1NS+Fj3zv1AkSbZ6Jr03KkJXryzUhkOG/nr9DYqIiHCZqarOZX3eYGtnq1nr53Y2paamerkqVGbgwIGaN2+e7r77bhky3N53lvlhpqxtrGpxXQuPjh1zbYwKdhRo/oL5emf1OzrvvPN0/Phx5ebm6sSJE9q5c6dK//5UWFjxpXc2m02PP/64508OAAB4BcHID3x5r0BsbKyWvvSixowZI0nVbv7grcXqSjuBNbUUa9X1kWWhqJTJZNI//2yVJC1MSnIJRaVs9UxafYNNZy/M08frPtKRtHS392ZU9bK+jIyMcpcr1UR1Q1EZqwIW6uqyyMhISVLmmkwVfJOrqMualN13VpRVpNztuWo9trXH7dRNZpOiLo3Su8vf1dlnn629e/dWq77p06erffv21doXAADUHMEoBIwaNUqGYWjc+AnKePkHj5o/VLcjXkVMJpNmPzJHiYmJ+tvHdrehpzQcTegdrh4xZrdvRA3D0L3r7Dqc49Tip+a43cZms6lt27ZVulfHMAy98847uuaaa6r/5P7HWc3Wz2XsCthlnnXV4sWLddttt2lqX4uuOydMC7YUa83yI8p8PU22tjbZsx0yWUyK7h9dreM36t9IaSvTXEKRJ10Wk5KS9NFHHykqKkoNGzZUw4YNy/7tbuz0xxs0aEDDBgAAaoBgFCJGjx6tvn37nmz+sPoxvzR/qMikSZNkGIZuvfVWSaowHPVs6X7mxTAM3f5fuxZ+VaTFixdr0qRJNa6puLhY999/v8f7hYeHq2fPnurbt68uvPBCff3111ry0hI5ChzVvseo8FChYkd7//sO9xYvXqxbb7213OzkoA7h+jnbqaXbi5V6rETr00v0W9saXiLZ1qaCfeXXFWvVoOpdFg8cOKADBw5U6+uXioyMrDRMVSVglY7RLhwAUNcQjEJIbGysUjasL9/84bPl5Zs/jB3p1eYPFUlMTJSkSsORO74IRZI0f/58/fDDD5VuYzKZ1LVrV1144YVlQahnz56yWq1l28THx+vf//63sjdnV6sr3fHNx+WwO5SQkODxvvDckiVLXEJRqbbRZs0YZJVhGIr/T762RtQsCISdtr+vuyy6k5eXp7y8PB05cqTGx4qIiPA4TFX0bxadBQDUBgSjEOTP5g+V8TQc+SoUHThwQI888ojLeLt27cqFoD59+pzxErd27dpp2PBhSt6QrMZxjStt53w6w2koZ32Ohl85nFbdfmAYhmY89KDaRJn1xGD3P3ulP3MbDjoUGeuo0ddz5P++/5S+4frnFTaZTCcbiQRzl8WK5OfnKz8/X+np6TU+ls1mq/bM1eljFovFC88OAABXtOuGz40ZM0ZJSUnanhhZ4eVzkrQjzaFei/M0ZswYvfLKK1752oZh6KqrrtKmTZvKAlDpf2Niqt6S+VRVaf3sTtqbacpam6UNGzZo4MCB1fra8ExFHRKl8kG8R48e2vXDrhq1Yd9zxx45i5zlQlGpYG9BX5tYLBavBKyGDRvKaq3aTDYAoPZiHSOCUdBwd39HRXwxY1RUVKTDhw+rY8eOXn0DNH/+fN19991qNryZ29bPpzKchtLfTlfmmkzNmzdP06dP91odOLOK1tQ69WftiiuuUIcOHWq0cO+R/xzRzT3DtfRqm9uftYJiQ52fPeH2nqOwsDCNGzdOJ06cUG5urnJzc5WTk1PuvwUFBS7HRM2Eh4d7HKYqetxmc3/eAQCBxTpGCAqehCKpfCvv0svwahqOLBaLOnXqVKNjuDNt2jRJ0t13362CHQWKujSqrPVzKUeBQ8c3H1fO+hzl/ZynefPmle0H/4mPj9eate9r+LChGvGaXauut+reda4BfPiVw/Vx8sfVu0Tyk2OK6xBWYSgyDEP3rCvUL7nu/w7lcDh03XXXaciQIRV+nZKSkrLQ5C44VfRvd2N5eXlVfn6hrLi4WMeOHdOxY8dqfKywsDCvXS4YERFByAKAAGDGCD7haSg6la/uNfKFjRs3av6C+Vrz3hqFWU8u3iqrJLtUeKhQDrtDw68crunTpnP5XICVzhw1tRSfbAN/2s9WzS6RzNSGmyM0sL3r35oMw9DU/9q16Ksi2Wy2Chd5veKKK/Tf//7X8ydWDQ6Ho2x2qqphqqIAlpub65ea6xKz2VwWmmo6mxUZGUkbdwB1GpfSEYwCasmSJUpMTKw0FBmGoZ3pzkrXMaot4UiSfv75Zy1dulSpqanKyclRVFSUYmNjlZCQQKOFIJKcnKzRo0Zq9iNz3P5MVfsSyT9ZNX2A1XWb036Ox44dqzVr1mjFihV6//33VVxcXG777777Tuecc07Nn6gfOZ1O5eXlVWvmyt1YiP1KCjiTyaQGDRp4ZTaLtbIA1EYEI4JRwBiGoVYtYxRemKUfp0Sqfnjloaey8FRQbOjshXkqtjXVkbR0Li2BVxiGUeHPkmEYWrBgge6++25Fto2s/BLJT44p7xe75v3Jqmn9LS7HPFO4z8rK0ptvvqlXXnlFn332maSTHRz//e9/e/kZ1x6GYSg/P79aM1fuHnc4atZpEK5OXSurprNZrJWFygSqoy5CD8GIYBRQVe0ENmbMGK1YscJtOCosMTTiNbs2HjZpzdr3FR8fH4ingjqqsksk8w7myWl3Kq5DmGbFWd1ePid51mXx4MGDSkpK0qpVq/Thhx+qSRPPG0CgPMMwVFBQUKPLBE99vKSkJNBPKeSUrpVV09ks1soKDaVrMH76+SZ9/+23ZWswnnPuubrkjwP8sgYjQhPBiGAUcFXpBDZp0iS39yIRihAsTr9EMi0tTVu2bNEtPcP1UgWNFkpV53JQwzBUUlLCm7wgYxiG7Ha7V+7JysnJUVFRUaCfUsg5fa2smsxmsVaWf6Wmpmr8hInamLJB1uhmqte2pywtOslsrS+nvUBFGftV8vMO2bMzNXBQnF584XnFxsYGumzUIgQjglFQODUcVdQJTCrfqOGJwVZd8zqhCMGnOg1Fatu9cvCP0pDljQ6DFTXzQPWdulZWTWezWCurcklJSRo3foIU0UhRgxJUP7afTGbXSywNp0MFqVuUk7JUyj+upS+9qFGjRgWgYtRGBCOCUdA4UyewUqVvOttEmZVVFE4o8pLK7qepznZ1VV3psojap7i42OMwVdHj+fn5gX46IcfdWlnVnc2qX79+SP1/OikpSTfeeKMiu8Wp8eWTZbbYzriPs6hQv320SHnfbdArr7yi0aNH+6FS1HYEI4JRUDlTJ7BSS5Ys0YyHHlTSqysJRV7A99076mKXRdRNJSUlLm3cqxu2WCvL+05fK6sms1mBXitr7969Oq9HT4WfdZGaDLtLJlPVmywYhlPH1j6t4n1faPeunVxWhzMiGBGMgg4zF/7FTJ130GURqB6Hw1FhG3dPw9aJEydo4+5lFa2VVZ3ZrOqslTUo7lJ9uetHNb/5n1WaKTqds6hQGS9PVb/zuihlw3qP90fd4kk2cN9OCfCyqr4J5M1izZW/tytS966zKzExUZLOeG/X8GFDCUenMJlMSnp1pYYPG6prXrefscvisytWSJLbLovXvG4/GT5XreTnHCEvLCxMUVFRXvkDZelaWd64Jys3N1dOp9MLz7B2czqdys7OVnZ2do2P5W6trMrCVFZWljambFDzax6oViiSJLPFpqiBCdq4+jFt27aNbnXwGoIREELcdQP8559PLjx6ajhyd8/M6husGvEa4eh08fHxWrP2fQ0fNlQjXrNX2mXxkksu0a233ipJdFkEvOTU2Y2aKl0ryxv3ZOXk5LBWlk5+T0u/J7/++muV9jFHNlL92H41+rr1O/eTNbqZli5dSjCC1xCMgBBR0fpRJlP5cJSSkqKkpCSXy75s9QhHFTk9HFXUZbE0fJaGI7osAsHFZDIpMjJSkZGRatmyZY2OZRiGCgsLvXJPVm5uroqLi730LIOcyaz6Hfu47T7n2WHCVK9tD322abOXCgO4xwgICdwL4x/cuwXAV+x2e40vEyz9t91uD/TTqYRJjeMnKOrCq2t8pJyvVivvs+Wy22lbj4pxjxFQx5hMJs1+ZI4SExP1t4/tbkNP6czRhN7hlXZPu3ed/eSb/qfmEIpOUzpzNHrUSC1+quJuf4mJiTKZTJrx0INas4pufwDOzGq1qnnz5mrevHmNj1VUVOSVe7JycnJ8sFaWIbO1vleOZLZGqKjILqfT6XEDCMAdghEQIiZNmiTDMFzucTmVyWRSz5buL1/wV0vp2t6hMD4+vkozaZMmTdLEiROD8jkACG0Wi0VNmzZV06ZNa3ys4uJinThxwiv3ZJ1cK8skp72g5k9SktOeL4vFSiiC1xCMgBBy+j0uVV2M1F+hKFTWVqLLIoC6Ijw8XI0bN1bjxo1rfKySkhKd3+cCHcjY74XKpKKM/erWvbtXjgVIBCMg5HgajjwNRYcOHdKyZcu0d+9e5ebmqmHDhurcubNuueUWtWvXrsL9Tr0/x1378FKn3p9DEwgACB316tVT3MBLtHf5ShlOR40aMBhOh0p+3qmLx470YoWo65h7BEJQYmKiRo8erWe/LNLO9MrX7NiZ7ixbh6eyUJSSkqKrrr5KHTt21JzH5+idr95R8sFkvfPVO5rz+Bx17NhRV119lTZu3Oiy76kd836cEqkpF1qUmJioJUuWlNvu1DbiP06J1MA2hoYPG6rk5OTqfSMAAEElISFB9uxMFaRuqdFxCvZukT07UwkJCV6qDCAYASFp8eLFZS25e8RU/jLvEWPWlAstWrFihUtQkU7OKM2bN09xcXFK3p6slje2VOyCWLW/v73a39Ve7e9vr9gFsWp5Y0slb0/WoEGDNH/+/LKV6k9vI14//GQTiNPD0elrK9UPP9k+nHAEAKGjd+/eGjgoTjkpS+Usql5jB2dRoXI2LtXAQXGsYQSvol03EGLcLd56JpVdTjd//nzdfffdaj68uVpc20ImcyWX5TkNZbydoaNrjmrevHk6//zz3a6tdPrXHD16tNu1lSSxQCoAhJjU1FR1P6+Hws+6SE2G3SWTqep/pzcMp46tfVrF+77Q7l07FRsb68NKEQo8yQYEIyCEVCcUlXIXjlJSUhQXF6fmw5sr5i8xVT5W2ptpylyTqcaNohXpzGVtJQBAOa+++qrGjBmjyG5xanz5ZJkttjPu4ywq1G8fLVLedxu0YsUKjRo1yg+VorZjHSOgDlqyZMkZQ5FhGNqZ7nS7jlHpOkfS7w0c1qxdo8h2kWpxXQsVZRXp+GfHZU+zy1nolNlmlrWlVY0ubiRLU0u5Y8VcG6OCHQVq17SDdmzfwdpKAIByRo0aJcMwNG78BGW8/IOiBiaofud+bhsyGE6HCvZuUc7GpVL+cUIRfIYZIyAEGIahVi1jFF6Y5bXZmcLwRjr223E1HtxYRUeLlLs9V2arWbZ2NpltZjkLnSo8VCin3amGvRqq2RXNFNklsuw4WclZSn8lXXPmzNEDDzzgtVksAEDoSE1N1fgJE7UxZYOs0c1Ur20PWVp0ktkaIac9X0UZ+1Xy807ZszM1KO5SvfD8Ei6fg0c8yQY0XwBCgMlkUtKrK5VVFK5rXrersKT83ztODRhjxozRs18W6Y4P7Dr97yKFJYaued2urKJwDR02XDJLWR9lqehokVqPba0uT3dRpwc6qcO0Dur0QCd1ebqLWo9traKjRTow94Ay/5tZdsxG/RspzBqm4uJiPffcc3r2yyLd/kGhy9esCKEIAEJfbGysUjas19atWzVx7Eh1tmQr77PlyvrvP5X32XJ1tmRr4tiR2rp1qzasTyYUwae4lA4IEfHx8Vqz9n0NHzZUI16zlzU7cBcwLrnkEpd1jk5vcnDPPffIWeKstOlCWP0wNYlvosZxjZXxdobSXkuTJDX7czOF1Q+TrZ1Nqampiok5eX/Swi+LJUn/vMLm1bWVAAC1W+/evct1mHM6nTKb+fs9/IufOCCElIajjYdNGvGaXQXFrgHDMAwlJiaWzeLc8cHJ7U4NRWFhYdq2bVtZ04XKOtFJkslsUsxfYtRseDOlvZamvD15Jx+wSjt37iy792l093pa+GWx19ZWAgCEJkIRAoGfOiDEnBqOzl6YVy4UJScnq1XLGC1ZsqRcODp7YV65dti333G7rK2sanFdC4++dsy1MbK2sSrzw0xJkjPfqR07dmhqX4u6NTcpaXeJV9ZWAgAA8DYupQNqsUOHDmnZsmXau3evcnNz1bBhQ3Xu3Fm33HKL1qx9X6NHjdTip+aUhaLhw4aqqaW4rOtcYmKiTCaTZjz0oNasWqn4+HjNnTtXO3fsVOubWnvcAc5kNqlJfBMdWX5Ehb8UKv9Qvvr9IUzdmpt021p7lRswuOuQx8wRAADwJYIRUAulpKRo/oL5WrtmrcKsJ+/lkU1SoVT4VqFmzZqlYcOH6bXX39CgQYPKQtHANoZWXR+pe9fZywWOiRMnymQyafHixXrggQcUZjUpun90tWpr1L+R0l9PV9rraVKxoau6hHkUikoRjgAAgD8RjIBaxDAMzZ8/X/fcc48i20Wq5Y0tFd0/WmH1f1/3wVHgUPbmbCVvSNZ7ce8pMTFRLy9bqkFtVdaQwV3gKF0ctktTs35tYit3TE+E1Q+Tra1NhT/mq0eMWX9Prrw9uKdrKxGOAACAL7COEeAnhmFUabaksu3mz5+vu+++u9JOcWXHcRrKeDtDR9ccVZemYdp+a4Rs9X7f/tTOb6NHj1ZSUpKm9rXoULZTyVab2k/r4PFzLHVw/kGd2HVCjW1SpMWkH6c08MraSsW2pjqSls4irwAAoEpYxwgIMqc2PajMkiVL1KpljJKTk10eS0lJKQtFnnaK25Pl0Je/OMo//r/ZmCkXWspC0TNXWNXQapIKKu8adyaOfIf6tDLrzesjlJVv6JrX8r2ytlLSqysJRQAAwCcIRoCPld7fE16YpcTExArD0eLFi5WYmKjwwiwNHzbUJRzNXzBfke0iq9Upztbaqvmbi1weKw1H2xMjy2ZrOjcxq/DnAjkKHG6OdmaOAoeKDhfqyrPrKb5jPa0ZHaGNPzk0YuXv4ej0dYpeeeWVcu3DS8PR6WsrxcfHV6smAACAMyEYAT50atODH6dEasqFFrfhqPT+nql9LfpxSqQGtjHKhaNDhw5p7Zq1io6LrlanuMaDm+i9H0t06Lhr2DGZTOrZMqzsuLf0CpfDbih7c3a1nvPxzcdlFBkad75FklzCUUGxoan/LXRZvPVMaysRigAAgC/RfAHwkVNDUVWaHpx6j83qG6wa8Zpdw4cN1Zq17+uzzz5TmDWsRp3i0lam6fo3C7V5fESl4apdtFnDzq6n5E+y1Diu8Rkv2TuV4TSU88kxDe9ST22jf/+7S2k4Gp6Ur7MXntDhHPe3NpZ+X2699Vat+qFEWUXhhCIAAOAXzBgBPuAuFEnl7+tJTEzUmDFjXEKRJNnqnQxHpTNHn376qWztatYpLrJ9pLb84nB7H8/ppl8Urrxf7Mp4O8Ojr5P+drryf7Vr+kUWl8dKw1GxQ3pumFWTLwx3O3uWmJioxYsXq9jWlFAEAAD8hq50gJcZhqFWLWMUXpilH6dEeqUb29HCerKcY1X7u9pXu66fFvyk6GPROnz4sLYnRqpny4pD1o40h3otzpMkNRveTDHXVt7swXAaSn87XZlrMjXvT1ZNH2CtsA13ade90+8zOr0Nd1W7+AEAAFSErnRAAJlMJs1+ZI4O5zj1t4/dz864a3pwOsMwdO86uw7nONXr/POlwprVZRQYOnz4sKb2tahHTOUv/R4xZk2+IFySlLkmUwdnHlRWcpZLQwZHgUNZyVk6+FBqWSia1t8iwzA09b929Vqcp9tPm6Eqfa4mk0lP/smqNlFmzXjoQZfvE6EIAAD4E/cYAT4wadIkGYahW2+9VZLchp/SpgfunD6bkpaWpm2Pb5OjwFGty+kcBQ7l/ZSnfn8IqzCInV7bs0NtMplMWvhVkc5qcpZ2/men0l/LkK1dfZltJ1ty2w8XSkWGhnepp+m3RGhg+3ploWjRV0WK7BanhV9ukCT987Sve2ob7jWraMMNAAACi2AE+MipjQQk9+HIHXeXmB06dEizZs1S9uZsNYlv4nEtxzcfl4oNvf4XW5UDSOmsliQt/GqnJMnSupdMlig5CgtkOAplFO/UH9uF6bXr6stWz1QuFDUZMkUNe10ha9tztfDDRZJ+D0eFJYaufDVfn/9aj/uIAABAUPDLpXSLFi1Shw4dZLPZ1K9fP3355ZeVbv/GG2+oa9eustlsOu+88/T+++/7o0zA605vQX2mW/oquu+mXbt2GjZ8mLI3ZMtwenZboOE09NvHx3Tl2fXUrpHrbJNhGNqR5qj0kr8pF55spuC056nZ8Olqce2Dirlhjppf/4g2/2LSlSsL/9eGu3wokqSGvf6sJkMma+GXRbr9f224r3y1QBsOOglFAAAgaPg8GL322muaNm2aZs6cqW3btqlnz54aMmSIMjLcd7vatGmTRo0apfHjx+ubb77RiBEjNGLECO3evdvXpQI+kZiYqNGjR+vZL4u0M91Z6bY7051a+FWRxowZ49KM4O7pdyvvUF61OsXZj9g1vb9rp7jSINZrcV6Fwa30XqA/NDSp5MgeOR0lZY/Vb99TTf/ysNb/JHVemOcSikqdGo46L8xT8oESDb/qakIRAAAIGj4PRgsWLNDEiROVkJCgbt266bnnnlNERIReeuklt9s/88wzuuKKK3TPPffonHPO0SOPPKLevXtr4cKFvi4V8InFixcrKSmpyk0Pplxo0YoVK1zaWA8cOFATJ07U0TVHlfZm2hlnjgynobQ305S5JlNnNwlT3z+Uny06dXZqzJgxFc5qFZYYGvFaoY6cMOQ0DBXuKz/jWxqO0h0N3YaiUifD0RSl221yGtJDDz1Uaf0AAAD+5NNgVFRUpK1bt2rw4MG/f0GzWYMHD9bmzZvd7rN58+Zy20vSkCFDKtzebrcrJyen3AcQLNwt3lqZ09c5OjUcbdy4UcuXL5d0slPc3r/vrbxT3MyDylyTqcTERP10IkwjXrOrsORk6Dn9kr1XXnnF7SV/J0ORXckHHXIakkxmHfvkeTmLyrfIq9++p1pPfqXCUFQqsluczBFRGjgoTr17967S9xAAAMAffNp8ITMzUw6HQzExMeXGY2Ji9MMPP7jdJy0tze32aWlpbrefO3euZs2a5Z2CAS/yNBSVOrXpQWkDh169emn48OEqLPw9kBQdKdKR/xzR0TeOqn67+pJVkl0qPFQoh92h4VcO1/RXpmvgwIG6/vrrNXzYUI14za5V11t17zrX+5hObxbxxGCrrnndro2HTQq3WFVSUCAZTjlyM5X14UI1Gz5NJpO5XN2VMQynfvtokUwF2Xrxheer9k0EAADwk1rfle7+++/XtGnTyj7PyclR27ZtA1gRIC1ZsuSMoaiiBVAl13AUERGh/Px8l2M0btxYd9xxh/bt26ecnBxFRUUpdnSsEhISyr0O4uPjtWbt+xo+bKjOXpinwzlOt4uqnhqOVv1QoqyicD0293Hdddddpxau/O82KFNS0yFTZLbYzvj9cBYV6rePFinvuw1asWKFYmNjz7gPAACAP/k0GDVr1kxhYWFKT08vN56enq6WLVu63adly5YebW+1WmW1Wr1TMOAFhmFoxkMPqk2UWU8MrjgUlV7KVlF4Km16sOqHYh054RqKJKl3796aOXNmleoqDUejR43U4qfmuISiUomJiTKZTJrx0INas2ql1q9f73a7/O9TZD/8rZrET1T9zv1kMrvpeOd0qGDvFuVsXCrlH9eKFSs0atSoKtULAADgTz69x8hisahPnz765JNPysacTqc++eQT9e/f3+0+/fv3L7e9JK1bt67C7YFgYzKZlPTqSmUVheua13+/r6eUJ00PrlqZ/7+mB+6/Vo8ePTyqLT4+XkfS0isMRaUmTZqkI2npio+P14cffuh+I8OQIzdLR1c/psOLblbm2gXK+Wq1Tuz8SDlfrVbm2gVKXzJeR1c/pot6dNXuXTsJRQAAIGj5/FK6adOm6eabb9YFF1ygvn376h//+Ify8vKUkJAgSbrpppv0hz/8QXPnzpUk3XHHHRo0aJDmz5+vYcOGaeXKlfr6669dOnQBwezUS9dGvGbX6husZQugnr5O0SWXXOKyCGzpAqjJBxwVhiLJ82AknfleoFO3y8rK0tdff13xRsbJ9uPO/OPK+3aD7Hs+VUlxsSwWq7p1766Lx45UQkICjRYAAEDQ83kwuuGGG3T06FHNmDFDaWlp6tWrlz744IOyBguHDh2S2fz7xNWAAQOUlJSkBx98UA888IA6d+6s1atXq3v37r4uFfCq08ORJ00PrlpZcMZQJEk9e/b06XP4+OOPz7gobRnDqf+7bYqefvrpcq9pAACA2sBkVPldT+2Qk5Oj6OhoZWdnKyoqKtDlAEpOTtbwYUPV1FJcYdMD6fcudn9oaKr08rlSYWFhOnHihGy2Mzc/qK5x48Zp6dKlVd6+TZs2+umnnwhGAAAgKHiSDXj3AvhY6cxRsa1phaFIkkaPHq0OHTpUKRRJUteuXX0aigzD0EcffeTRPocPH9ZXX33lo4oAAAB8p9a36wZqg9KmBxXd35Ofn6/hw4fr4MGDVT5mde4v8sR3332nX375xeP93nrrLfXr188HFQEAAPgOM0aAn1QUiux2u6699lpt3LjRo+P5OhhV2I3uDN56662q35cEAAAQJAhGQAAVFxdr5MiR1Qohvm68cOpldG3atNG//vUvt9vNnDlT06dPV2RkpCRp//792rFjh09rAwAA8DaCERAgDodDt9xyi1avXl2t/X05Y1RQUKCUlBQ1a9ZMCxYs0N69eyu8N6p58+aaN2+eDh06pFmzZqlp06Z66623fFYbAACALxCMgACZNWuW1q1bp6ZNm6px48aKjo5Ww4YNq7RvkyZN1Lp1a5/VtmPHDt13333at2+f7rrrLtlsNoWFhSksLMxl26KiorKaZsyYoZ9++kkXXXSRz2oDAADwBdp1A0Hkq6++Ut++fc+43aWXXqrk5GQ/VFRe/fr1VVhYWG7siSee0L333uv3WgAAAM6Edt1ALTVjxowqbefrxgsVsVgsLmOlM0YAAAC1GcEICBKbNm3SBx984DLesWNHNW3atNwYwQgAAMC7WMcICBIzZ850O/7II4+oUaNGGj58eNmYrzvSVSQ8PNxlrLi4OACVAAAAeBczRkAQ2Lhxoz7++GOX8XPOOUcjR47UsGHDNH36dEmS2WxWt27d/F2iJGaMAABA6GLGCAgCFc0WPfzww2Wd4B577DF9+umnys3NVf369f1ZXhmCEQAACFXMGAEBlpycrA0bNriMd+/eXX/5y1/KPrdYLFq5cqUGDhzox+rK41I6AAAQqghGQAAZhlFhJ7pZs2bJbC7/Eu3YsaMWLFjgj9LcYsYIAACEKoIREEDr1q3T559/7jLeq1cvjRgxwu0+ERERPq6qYgQjAAAQqghGQIBUNls0e/Zsl9miYMCldAAAIFQF3zsvoI54//33tWXLFpfxCy64oFxr7mDCjBEAAAhVBCMgAM40W2QymfxcUdUQjAAAQKgiGAEB8O6772rbtm0u4xdddJGuuOKKAFRUNVxKBwAAQhXBCPAzp9NZ4bpFwTxbJDFjBAAAQhfBCPCzVatWaceOHS7jl1xyiQYPHhyAiqqOYAQAAEIVwQjwI4fDUWtniyQupQMAAKGLYAT40RtvvKFvv/3WZfzSSy9VXFyc/wvyEDNGAAAgVBGMAD9xOBx6+OGH3T42e/Zs/xZTTQQjAAAQqghGgJ+8+uqr2rNnj8v45ZdfrosvvjgAFXmOS+kAAECoIhgBflBSUqJZs2a5fayi8WDEjBEAAAhVBCPAD5YvX67U1FSX8aFDh+qiiy4KQEXVQzACAAChimAE+FhxcXGF9xDVptkiiUvpAABA6CIYAT62bNkyHTx40GX8qquu0gUXXOD/gmqAGSMAABCqCEaAD9ntds2ZM8ftY7VttkgiGAEAgNBFMAJ86MUXX9ShQ4dcxq+77jr16tXL/wXVUEWX0hmGEYBqAAAAvIdgBPhIYWGhHn30UZdxk8lU4XpGwc7djJFhGHI4HAGoBgAAwHsIRoCPLFmyRL/++qvL+PXXX6/u3bsHoKKacxeMJC6nAwAAtR/BCPCB/Px8zZ0712XcbDZr5syZAajIO9xdSifRmQ4AANR+BCPAB5577jmlpaW5jI8ePVrnnHNOACryDmaMAABAqCIYAV524sQJPf744y7jYWFhmjFjRgAq8h6CEQAACFUEI8DLFi1apKNHj7qMjx07Vp07dw5ARd7DpXQAACBUEYwAL8rJydGTTz7pMl6vXj099NBDAajIu5gxAgAAoYpgBHjRs88+q2PHjrmMJyQkqFOnTgGoyLsIRgAAIFQRjAAvOX78uObNm+cyHh4err///e8BqMj7uJQOAACEKoIR4CX/+Mc/dPz4cZfxCRMmqH379v4vyAeYMQIAAKGKYAR4wbFjx/T000+7jFssFj3wwAMBqMg3CEYAACBUEYwAL1iwYIFycnJcxhMTE9WmTZsAVOQbXEoHAABCFcEIqKHMzEw988wzLuM2m033339/ACryHWaMAABAqCIYATX01FNP6cSJEy7j//d//6dWrVoFoCLfIRgBAIBQRTACaiA9PV0LFy50GY+IiNC9994bgIp8i0vpAABAqCIYATXw5JNPKj8/32V8ypQpiomJCUBFvsWMEQAACFUEI6Cajhw5on/9618u4w0aNNA999wTgIp8j2AEAABCFcEIqKa5c+eqsLDQZfyOO+5Qs2bNAlCR73EpHQAACFUEI6AaDh8+rMWLF7uMR0VFadq0aQGoyD+YMQIAAKGKYARUw2OPPeY2DNx1111q0qRJACryj7CwMJnNrv/bIBgBAIDajmAEeOinn37SCy+84DLeqFEj3Xnnnf4vyM/cXU7HpXQAAKC2IxgBHnr00UfdBoG7775bjRo18n9BfubucjpmjAAAQG1HMAI8sH//fi1dutRlvEmTJrr99tsDUJH/EYwAAEAoIhgBHnjkkUdUUlLiMn7vvfeqYcOGAajI/7iUDgAAhCKCEVBFe/fu1X/+8x+X8ebNm2vy5MkBqCgwmDECAAChiGAEVNHs2bPldDpdxv/2t7+pQYMGAagoMAhGAAAgFBGMgCr4/vvvtWLFCpfxli1b6rbbbgtARYHDpXQAACAUEYyAKpg1a5YMw3AZv//++xURERGAigKHGSMAABCKCEbAGezatUuvv/66y3jr1q01adKkAFQUWAQjAAAQighGwBlUNFv097//XTabLQAVBRaX0gEAgFBEMAIqsX37dr311lsu423bttX48eMDUFHgMWMEAABCEcEIqMTMmTPdjj/00EOyWq1+riY4EIwAAEAoIhgBFfj666/17rvvuox37NhRt9xyi/8LChJcSgcAAEIRwQioQGWzRe7CQV3BjBEAAAhFBCPAjS+++ELvv/++y3hsbKzGjh0bgIqCw7Zt27Rr1y7JZJZk+t+oSV99vVVTp07Vtm3bAlkeAABAtRGMADdmzJjhdnzmzJmqV6+en6sJvNTUVA2Ku1R9+vTRwbQsRZ57qRrHT1DTP9+uxvETpA599fzylerTp48GxV2q1NTUQJcMAADgkbr3Dg84g08//VTr1q1zGe/SpYtGjRoVgIoCKykpSePGT5AiGqn5NQ+ofmw/mcxhLtsZTocKUrdoS8pSdT+vh5a+9GKd/H4BAIDaiWAEnKaie4sefvhhhYW5BoJQlpSUpBtvvFGR3eLU+PLJMlsqXrfJZA5TxNkDZOvQW799tEhjxoyRYRgaPXq0HysGAACoHpPhbuXKWiwnJ0fR0dHKzs5WVFRUoMtBLbN+/XrFx8e7jJ977rnasWNHnQpGe/fu1Xk9eir8rIvUZNhdMpmqfuWtYTh1bO3TKt73hXbv2qnY2FgfVgoAAOCeJ9mAe4yA/zEMg9miU0yYOEmmiMZqfPlkj0KRJJlMZjW+fLIU0UjjJ0z0UYUAAADeQzAC/ufjjz/Wp59+6jLes2dPXXvttQGoKHC2bt2qjSkb1HDQLZVePlcZs8WmqIEJ2piygW51AAAg6BGMAJ2cLaqoE92sWbNkNtetl8qyZctkjW6u+rH9anSc+p37yRrdTEuXLvVSZQAAAL5Rt97tARX44IMP9MUXX7iM9+7dW1dddVUAKgqsTz/fpHpte7jtPucJkzlM9dr20GebNnupMgAAAN8gGKHOq2y2aPbs2TKZTG4fC2Xff/utLC06eeVYlhad9N3u3V45FgAAgK8QjFDnvffee/r6669dxvv166ehQ4cGoKLAcjqdKiqyy2yt75Xjma0RKiqyy+l0euV4AAAAvkAwQp3mdDqZLTqN2WyWxWKV017gleM57fmyWKx17j4tAABQu/BOBXXa6tWrtWPHDpfxP/7xj/rTn/4UgIqCwznnnquijP1eOVZRxn51697dK8cCAADwFZ8Go2PHjmnMmDGKiopSo0aNNH78eJ04caLSfeLi4mQymcp93Hrrrb4sE3WU0+mscN2iujpbVOqSPw5Qyc87ZDgdNTqO4XSo5OedunhAfy9VBgAA4Bs+DUZjxozRt99+q3Xr1mnNmjXauHGjJk2adMb9Jk6cqCNHjpR9PPnkk74sE3XUm2++qd1umgIMGjRIl156aQAqCh4JCQmyZ2eqIHVLjY5TsHeL7NmZSkhI8FJlAAAAvlHPVwf+/vvv9cEHH+irr77SBRdcIEl69tlnNXToUM2bN0+tW7eucN+IiAi1bNnSV6UBcjgcevjhh90+Vtdni6STbcoHDorTlpSlsnXoXa1FXp1FhcrZuFQDB8Wpd+/ePqgSAADAe3w2Y7R582Y1atSoLBRJ0uDBg2U2m7VlS+V/hV6xYoWaNWum7t276/7771d+fn6F29rtduXk5JT7AM5k5cqV+v77713GBw8erIEDBwagouDz4gvPS/nH9dtHi2QYnnWUMwynfvtokZR//ORxAAAAgpzPZozS0tLUokWL8l+sXj01adJEaWlpFe43evRotW/fXq1bt9bOnTv1t7/9TXv27NHbb7/tdvu5c+dq1qxZXq0doa2kpKTCnxl+ln4XGxurpS+9qDFjxkiSGl8+uUozR86iQv320SLlfbdBK1asUGxsrK9LBQAAqDGPg9F9992nJ554otJt3P0lvqpOvQfpvPPOU6tWrXTZZZdp3759Ouuss1y2v//++zVt2rSyz3NyctS2bdtqf32EvhUrVmjv3r0u41dccYUGDBgQgIqC16hRo2QYhsaNn6CMl39Q1MAE1e/cTyZzmMu2htOhgr1blLNxqZR/XCtWrNCoUaMCUDUAAIDnPA5G06dP1y233FLpNp06dVLLli2VkZFRbrykpETHjh3z6P6hfv36SZJSU1PdBiOr1Sqr1Vrl46FuKy4u1uzZs90+xmyRe6NHj1bfvn01fsJEbVz9mKzRzVSvbQ9ZWnSS2Rohpz1fRRn7VfLzTtmzMzUo7lK98PwSZooAAECt4nEwat68uZo3b37G7fr376/jx49r69at6tOnjyQpOTlZTqezLOxUxfbt2yVJrVq18rRUwMXLL7+s/ftd1+e58sor1bdv3wBUVDvExsYqZcN6bdu2TUuXLtVnmzbru8+Wq6jILovFqm7du+visSOVkJBAowUAAFArmQzDMHx18D//+c9KT0/Xc889p+LiYiUkJOiCCy5QUlKSJOmXX37RZZddpv/85z/q27ev9u3bp6SkJA0dOlRNmzbVzp07ddddd6lNmzZKSUmp0tfMyclRdHS0srOzFRUV5aunhlqoqKhInTt31qFDh1we27Ztm84///wAVFW7OZ1Omc2sEw0AAIKTJ9nAp+9oVqxYoa5du+qyyy7T0KFDdfHFF2vJkiVljxcXF2vPnj1lXecsFos+/vhjXX755erataumT5+u6667Tu+9954vy0Qd8dJLL7kNRddccw2hqJoIRQAAIFT4dMYoEJgxgjuFhYXq3LmzDh8+7PLYjh071KNHjwBUBQAAAF8KmhkjIFg8//zzbkPRX//6V0IRAAAACEYIfQUFBXrsscdcxk0mkx5++GH/FwQAAICgQzBCyHvuuefcLio8atQodevWLQAVAQAAINgQjBDS8vLy9Pjjj7uMm81mzZgxIwAVAQAAIBgRjBDS/vWvf7ksNCxJN954o7p06RKAigAAABCM6EqHkJWbm6uOHTsqKyur3HhYWJj27Nmjs846K0CVAQAAwB/oSgdIevbZZ11CkSTdcssthCIAAACUw4wRQlJ2drY6duyo3377rdx4vXr1tHfvXnXo0CEwhQEAAMBvmDFCnffMM8+4hCJJGj9+PKEIAAAALpgxQsj57bff1LFjR2VnZ5cbt1gsSk1NVdu2bQNUGQAAAPyJGSPUaQsWLHAJRZI0adIkQhEAAADcYsYIISUrK0sdOnTQiRMnyo1brVbt379frVu3DlBlAAAA8DdmjFBnzZs3zyUUSdJtt91GKAIAAECFmDFCyMjIyFCnTp2Ul5dXbrx+/frav3+/WrZsGaDKAAAAEAjMGKFOevLJJ11CkSRNnjyZUAQAAIBKMWOEkHDkyBF16tRJhYWF5cYjIyN14MABNW/ePECVAQAAIFCYMUKd88QTT7iEIkm6/fbbCUUAAAA4I2aMUOv98ssvOuuss2S328uNN2zYUAcOHFDTpk0DVBkAAAACiRkj1CmPPfaYSyiSpDvvvJNQBAAAgCphxgi12qFDhxQbG6vi4uJy49HR0Tp48KAaNWoUmMIAAAAQcMwYoc549NFHXUKRJE2fPp1QBAAAgCpjxgi11oEDB3T22WerpKSk3Hjjxo118OBBzj8AAEAdx4wR6oQ5c+a4hCJJuueeewhFAAAA8AjBCLVSamqqXn75ZZfxZs2aaerUqQGoCAAAALUZwQi10uzZs+VwOFzG//a3v6lBgwYBqAgAAAC1GcEItc4PP/ygFStWuIzHxMTo//7v/wJQEQAAAGo7ghFqndmzZ8vpdLqM33fffYqIiAhARQAAAKjtCEaoVXbv3q2VK1e6jLdq1UqJiYkBqAgAAAChgGCEWmXWrFly12H+gQceUP369QNQEQAAAEIBwQi1xo4dO/Tmm2+6jLdp00YTJ04MQEUAAAAIFQQj1BoPP/yw2/EHH3xQVqvVv8UAAAAgpBCMUCts3bpVq1evdhlv3769EhIS/F8QAAAAQgrBCLXCzJkz3Y4/9NBDslgsfq4GAAAAoYZghKC3ZcsWrV271mX8rLPO0k033RSAigAAABBqCEYIehXNFs2YMUPh4eF+rgYAAAChiGCEoPb555/rww8/dBk/++yzNXr06ABUBAAAgFBEMEJQmzFjhtvxmTNnql69en6uBgAAAKGKYISgtWHDBiUnJ7uMd+vWTTfccEMAKgIAAECoIhghKBmGUeG9RQ8//LDCwsL8XBEAAABCGcEIQSk5OVkbN250GT/vvPN03XXXBaAiAAAAhDKCEYKOYRgV3ls0a9Ysmc382AIAAMC7eIeJoPPhhx9q06ZNLuPnn3++RowY4f+CAAAAEPIIRggqZ5otMplMfq4IAAAAdQHBCEFl7dq1+uqrr1zGL7zwQg0fPjwAFQEAAKAuIBghaFQ2WzR79mxmiwAAAOAzBCMEjXfeeUfffPONy3j//v01ZMiQAFQEAACAuoJghKDgdDqZLQIAAEDAEIwQFN566y3t2rXLZXzgwIG67LLLAlARAAAA6hKCEQLO4XDo4YcfdvsYs0UAAADwB4IRAu7111/Xd9995zIeHx+vQYMGBaAiAAAA1DUEIwRUSUlJhbNFs2bN8m8xAAAAqLMIRgiopKQk/fjjjy7jl19+uS6++OIAVAQAAIC6iGCEgCkuLtbs2bPdPlbROAAAAOALBCMEzPLly7Vv3z6X8WHDhqlfv34BqAgAAAB1FcEIAVFUVKRHHnnE7WPcWwQAAAB/IxghIJYuXaqDBw+6jF999dXq06eP/wsCAABAnUYwgt/Z7XbNmTPH7WPMFgEAACAQCEbwuxdeeEGHDx92Gf/LX/6inj17BqAiAAAA1HUEI/hVQUGBHnvsMZdxk8mkmTNnBqAiAAAAgGAEP1u8eLF+/fVXl/EbbrhB3bt3D0BFAAAAAMEIfpSXl6e5c+e6jJvNZmaLAAAAEFAEI/jNv//9b2VkZLiMjxkzRl27dg1ARQAAAMBJBCP4xYkTJ/TEE0+4jIeFhemhhx4KQEUAAADA7whG8IuFCxcqMzPTZfymm25S586dA1ARAAAA8DuCEXwuJydHTz31lMt4vXr19OCDDwagIgAAAKA8ghF87plnntGxY8dcxhMSEtSpU6cAVAQAAACUZzIMwwh0Ed6Uk5Oj6OhoZWdnKyoqKtDl1HnHjx9Xhw4dlJ2dXW48PDxcqampateuXYAqAwAAQKjzJBswYwSfevrpp11CkSRNnDiRUAQAAICgwYwRfCYrK0sdO3ZUbm5uuXGr1arU1FS1adMmQJUBAACgLmDGCEFh/vz5LqFIkhITEwlFAAAACCrMGMEnjh49qo4dOyovL6/cuM1m0/79+9WqVasAVQYAAIC6ghkjBNxTTz3lEookafLkyYQiAAAABB1mjOB16enp6tixowoKCsqNR0RE6MCBA2rRokWAKgMAAEBdwowRAurxxx93CUWSNHXqVEIRAAAAghIzRvCqX3/9VZ06dZLdbi833qBBAx04cEDNmjULUGUAAACoa5gxQsDMnTvXJRRJ0p133kkoAgAAQNBixghe8/PPPys2NlZFRUXlxqOionTw4EE1btw4QJUBAACgLmLGCAHx6KOPuoQiSZo2bRqhCAAAAEGNGSN4xcGDB9W5c2eVlJSUG2/UqJEOHjyo6OjoAFUGAACAuiooZoweffRRDRgwQBEREWrUqFGV9jEMQzNmzFCrVq1Uv359DR48WHv37vVVifCiOXPmuIQiSbr77rsJRQAAAAh6PgtGRUVF+utf/6rbbrutyvs8+eST+uc//6nnnntOW7ZsUWRkpIYMGaLCwkJflQkv2Ldvn5YtW+Yy3rRpU91+++3+LwgAAADwUD1fHXjWrFmS5PYNszuGYegf//iHHnzwQV199dWSpP/85z+KiYnR6tWrNXLkSLf72e32cl3QcnJyalY4qszpdMpsNuuRRx6Rw+Fwefzee+9Vw4YNA1AZAAAA4Jmgab5w4MABpaWlafDgwWVj0dHR6tevnzZv3lzhfnPnzlV0dHTZR9u2bf1Rbp20bds2TZ06Vb1695HValNYWJgsFqteXv6Ky7bNmzfX5MmTA1AlAAAA4DmfzRh5Ki0tTZIUExNTbjwmJqbsMXfuv/9+TZs2rezznJwcwpGXpaamavyEidqYskHW6Gaq17anIi++SQ2t9eW0F6goY78K9m+VM/+4ZDJLhlP33XefIiMjA106AAAAUCUeBaP77rtPTzzxRKXbfP/99+ratWuNivKE1WqV1Wr129era5KSkjRu/AQpopGaX/OA6sf2k8kc5rKd4XSoIHWLjn3yvBy5WWrSpEkAqgUAAACqx6NgNH36dN1yyy2VbtOpU6dqFdKyZUtJUnp6ulq1alU2np6erl69elXrmKiZpKQk3XjjjYrsFqfGl0+W2WKrcFuTOUwRZw+QrUNvHftokcaNGyeLxaLRo0f7sWIAAACgejwKRs2bN1fz5s19UkjHjh3VsmVLffLJJ2VBKCcnR1u2bPGosx28Y+/evRo3foIiu8WpybC7ZDJV7XY0s8WmpsPukknSuPET1LdvX8XGxvq2WAAAAKCGfNZ84dChQ9q+fbsOHTokh8Oh7du3a/v27Tpx4kTZNl27dtWqVaskSSaTSXfeeafmzJmjd999V7t27dJNN92k1q1ba8SIEb4qExWYMHGSTBGN1fjyyVUORaVMJrMaXz5Zimik8RMm+qhCAAAAwHt81nxhxowZevnll8s+P//88yVJ69evV1xcnCRpz549ys7OLtvm3nvvVV5eniZNmqTjx4/r4osv1gcffCCbreJLuOB9W7du1caUDWp+zQOVXj5XGbPFpqiBCdq4+jFt27ZNvXv39nKVAAAAgPeYDMMwAl2EN+Xk5Cg6OlrZ2dmKiooKdDm10tSpU/X88tcUM+kFt40WqspwOpS+ZLwmjh2pZ5991osVAgAAAGfmSTYImnWMEDw+/XyT6rXtUaNQJJ1syFCvbQ99tqnidagAAACAYEAwgovvv/1WlhbV6y54OkuLTvpu926vHAsAAADwFYIRynE6nSoqsstsre+V45mtESoqssvpdHrleAAAAIAvEIxQjtlslsVildNe4JXjOe35slisMpv5UQMAAEDw4t0qXJxz7rkqytjvlWMVZexXt+7dvXIsAAAAwFcIRnBxyR8HqOTnHTKcjhodx3A6VPLzTl08oL+XKgMAAAB8g2AEFwkJCbJnZ6ogdUuNjlOwd4vs2ZlKSEjwUmUAAACAbxCM4KJ3794aOChOOSlL5SwqrNYxnEWFytm4VAMHxbG4KwAAAIIewQhuvfjC81L+cf320SIZhmcd5QzDqd8+WiTlHz95HAAAACDIEYzgVmxsrJa+9KLyvtugY2ufrvLMkbOoUMfWPq287zZo6UsvKjY21seVAgAAADVXL9AFIHiNGjVKhmFo3PgJynj5B0UNTFD9zv1kMoe5bGs4HSrYu0U5G5dK+ce1YsUKjRo1KgBVAwAAAJ4zGYZhBLoIb8rJyVF0dLSys7MVFRUV6HJCQmpqqsZPmKiNKRtkjW6mem17yNKik8zWCDnt+SrK2K+Sn3fKnp2pQXGX6oXnlzBTBAAAgIDzJBsQjFBl27Zt09KlS/XZps36bvduFRXZZbFY1a17d108oL8SEhJotAAAAICg4Uk24FI6VFnv3r3LBR+n0ymzmdvUAAAAUPvxrhbVRigCAABAqOCdLQAAAIA6j2AEAAAAoM4jGAEAAACo8whGAAAAAOo8ghEAAACAOo9gBAAAAKDOIxgBAAAAqPMIRgAAAADqPIIRAAAAgDqPYAQAAACgziMYAQAAAKjzCEYAAAAA6jyCEQAAAIA6j2AEAAAAoM6rF+gCvM0wDElSTk5OgCsBAAAAEEilmaA0I1Qm5IJRbm6uJKlt27YBrgQAAABAMMjNzVV0dHSl25iMqsSnWsTpdOrXX39Vw4YNZTKZAl1OSMrJyVHbtm31888/KyoqKtDloIo4b7UT56124rzVTpy32onzVjv567wZhqHc3Fy1bt1aZnPldxGF3IyR2WxWmzZtAl1GnRAVFcX/gGohzlvtxHmrnThvtRPnrXbivNVO/jhvZ5opKkXzBQAAAAB1HsEIAAAAQJ1HMILHrFarZs6cKavVGuhS4AHOW+3EeaudOG+1E+etduK81U7BeN5CrvkCAAAAAHiKGSMAAAAAdR7BCAAAAECdRzACAAAAUOcRjAAAAADUeQQjAAAAAHUewQhuLVq0SB06dJDNZlO/fv305ZdfVrr9G2+8oa5du8pms+m8887T+++/76dKcSpPztuyZctkMpnKfdhsNj9WC0nauHGjrrzySrVu3Vomk0mrV68+4z4bNmxQ7969ZbVaFRsbq2XLlvm8TpTn6XnbsGGDy+vNZDIpLS3NPwVDc+fO1YUXXqiGDRuqRYsWGjFihPbs2XPG/fj9FljVOW/8fgu8f//73+rRo4eioqIUFRWl/v3767///W+l+wTDa41gBBevvfaapk2bppkzZ2rbtm3q2bOnhgwZooyMDLfbb9q0SaNGjdL48eP1zTffaMSIERoxYoR2797t58rrNk/PmyRFRUXpyJEjZR8//fSTHyuGJOXl5alnz55atGhRlbY/cOCAhg0bpksvvVTbt2/XnXfeqQkTJujDDz/0caU4lafnrdSePXvKveZatGjhowpxupSUFE2ePFlffPGF1q1bp+LiYl1++eXKy8urcB9+vwVedc6bxO+3QGvTpo0ef/xxbd26VV9//bXi4+N19dVX69tvv3W7fdC81gzgNH379jUmT55c9rnD4TBat25tzJ071+32119/vTFs2LByY/369TMSExN9WifK8/S8LV261IiOjvZTdagKScaqVasq3ebee+81zj333HJjN9xwgzFkyBAfVobKVOW8rV+/3pBk/Pbbb36pCWeWkZFhSDJSUlIq3Ibfb8GnKueN32/BqXHjxsYLL7zg9rFgea0xY4RyioqKtHXrVg0ePLhszGw2a/Dgwdq8ebPbfTZv3lxue0kaMmRIhdvD+6pz3iTpxIkTat++vdq2bVvpX3IQPHi91W69evVSq1at9Kc//Umff/55oMup07KzsyVJTZo0qXAbXm/BpyrnTeL3WzBxOBxauXKl8vLy1L9/f7fbBMtrjWCEcjIzM+VwOBQTE1NuPCYmpsJr4dPS0jzaHt5XnfPWpUsXvfTSS3rnnXf0yiuvyOl0asCAATp8+LA/SkY1VfR6y8nJUUFBQYCqwpm0atVKzz33nN566y299dZbatu2reLi4rRt27ZAl1YnOZ1O3XnnnfrjH/+o7t27V7gdv9+CS1XPG7/fgsOuXbvUoEEDWa1W3XrrrVq1apW6devmdttgea3V8+tXAxA0+vfvX+4vNwMGDNA555yjxYsX65FHHglgZUDo6dKli7p06VL2+YABA7Rv3z49/fTTWr58eQArq5smT56s3bt367PPPgt0KfBAVc8bv9+CQ5cuXbR9+3ZlZ2frzTff1M0336yUlJQKw1EwYMYI5TRr1kxhYWFKT08vN56enq6WLVu63adly5YebQ/vq855O114eLjOP/98paam+qJEeElFr7eoqCjVr18/QFWhOvr27cvrLQCmTJmiNWvWaP369WrTpk2l2/L7LXh4ct5Ox++3wLBYLIqNjVWfPn00d+5c9ezZU88884zbbYPltUYwQjkWi0V9+vTRJ598UjbmdDr1ySefVHhdaP/+/cttL0nr1q2rcHt4X3XO2+kcDod27dqlVq1a+apMeAGvt9Cxfft2Xm9+ZBiGpkyZolWrVik5OVkdO3Y84z683gKvOuftdPx+Cw5Op1N2u93tY0HzWvNrqwfUCitXrjSsVquxbNky47vvvjMmTZpkNGrUyEhLSzMMwzDGjh1r3HfffWXbf/7550a9evWMefPmGd9//70xc+ZMIzw83Ni1a1egnkKd5Ol5mzVrlvHhhx8a+/btM7Zu3WqMHDnSsNlsxrfffhuop1An5ebmGt98843xzTffGJKMBQsWGN98843x008/GYZhGPfdd58xduzYsu33799vREREGPfcc4/x/fffG4sWLTLCwsKMDz74IFBPoU7y9Lw9/fTTxurVq429e/cau3btMu644w7DbDYbH3/8caCeQp1z2223GdHR0caGDRuMI0eOlH3k5+eXbcPvt+BTnfPG77fAu++++4yUlBTjwIEDxs6dO4377rvPMJlMxkcffWQYRvC+1ghGcOvZZ5812rVrZ1gsFqNv377GF198UfbYoEGDjJtvvrnc9q+//rpx9tlnGxaLxTj33HONtWvX+rliGIZn5+3OO+8s2zYmJsYYOnSosW3btgBUXbeVtnE+/aP0XN18883GoEGDXPbp1auXYbFYjE6dOhlLly71e911nafn7YknnjDOOussw2azGU2aNDHi4uKM5OTkwBRfR7k7X5LKvX74/RZ8qnPe+P0WeOPGjTPat29vWCwWo3nz5sZll11WFooMI3hfaybDMAz/zU8BAAAAQPDhHiMAAAAAdR7BCAAAAECdRzACAAAAUOcRjAAAAADUeQQjAAAAAHUewQgAAABAnUcwAgAAAFDnEYwAAAAA1HkEIwAAAAB1HsEIAAAAQJ1HMAIAAABQ5/0/hE9n9pTQLUUAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plot_map(x, y, dual_potentials.transport(x))" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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