{ "cells": [ { "cell_type": "markdown", "id": "be7bd18a", "metadata": { "vscode": { "languageId": "plaintext" } }, "source": [ "# Example 1, smooth function\n", "\n", "The `zero_contour_finder` function will find points along the zero contour of a 2D function defined with Jax. This example will walk though its basic usage and what each of the input parameters are.\n", "\n", "## Imports\n", "\n", "We begin with some basic imports for Jax, Matplotlib, and the zero contour functions.\n", "\n", "```{note}\n", "While it is necessary to use 64 bit precision to use the zero contour functions, it can be useful to help avoid floating point errors for very rapidly changing functions.\n", "```" ] }, { "cell_type": "code", "execution_count": 1, "id": "ca2e944d", "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2" ] }, { "cell_type": "code", "execution_count": 2, "id": "9c68f10c", "metadata": {}, "outputs": [], "source": [ "import jax\n", "import jax.numpy as jnp\n", "\n", "jax.config.update(\"jax_enable_x64\", True)\n", "\n", "import matplotlib.pyplot as plt\n", "import matplotlib.colors as colors\n", "\n", "from jax_zero_contour import ZeroSolver" ] }, { "cell_type": "markdown", "id": "1c01485e", "metadata": {}, "source": [ "For our first test we will create a function that will have two distinct closed contours. This function must take in one position value `jnp.array([x, y])` and return a single number." ] }, { "cell_type": "code", "execution_count": 3, "id": "98d03b38", "metadata": {}, "outputs": [], "source": [ "@jax.tree_util.Partial\n", "def f(p):\n", " return 0.01 * ((p + 0.5)**4 - 30 * p**2 - 20 * p).sum(axis=0) + 2.0" ] }, { "cell_type": "markdown", "id": "a7608d4c", "metadata": {}, "source": [ "For reference let's plot the function evaluated on an evenly spaced grid. This is **not** used to find the contours, only for visualization purposes. For the plot we will use a diverging symmetric log colorbar that is linear near the value of zero, this will help to visualize where the contour of interest are in the function." ] }, { "cell_type": "code", "execution_count": 4, "id": "75ed0805", "metadata": {}, "outputs": [], "source": [ "n = 1024\n", "x = jnp.linspace(-8, 8, n)\n", "y = jnp.linspace(-8, 8, n)\n", "X, Y = jnp.meshgrid(x, y)\n", "z = f(jnp.stack([X, Y]))" ] }, { "cell_type": "code", "execution_count": 5, "id": "fa56ae54", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(\n", " z,\n", " extent=(x.min(), x.max(), y.min(), y.max()),\n", " norm=colors.SymLogNorm(linthresh=0.1, vmin=-175, vmax=175),\n", " cmap='PuOr_r',\n", " origin='lower',\n", " interpolation='nearest'\n", ")\n", "plt.colorbar();" ] }, { "cell_type": "markdown", "id": "eb98b8b1", "metadata": {}, "source": [ "## Finding the zero contours\n", "\n", "There are two steps to finding a zero contour:\n", "1. Create a `ZeroSolver` class instance\n", "2. Use the `zero_contour_finder` method on this class to find our contours\n", "\n", "The `zero_contour_finder` method has two required inputs:\n", "- `f`: The function we can to find the contours for. Ths function **must** be wrapped in `jax.tree_util.Partial` as it is being included as the input to a `jit`ed function.\n", "- `init_guess`: Initial guesses for a points near the zero contour, one guess per row.\n", "\n", "```{note}\n", "The `zero_solver` class takes in the keyword `forward_mode_differentiation` on creation, if set to true it will use forward mode auto-differentiation when evaluating all gradients. This can be useful if your target function make use of `jax.numpy.where` and can't be reverse auto-differentiated.\n", "```" ] }, { "cell_type": "code", "execution_count": 6, "id": "6175bf0d", "metadata": {}, "outputs": [], "source": [ "zs = ZeroSolver()" ] }, { "cell_type": "markdown", "id": "ef853197", "metadata": {}, "source": [ "Looking at the plot an input point of `(-2.0, 0.0)` should find the larger contour and the point `(4.0, 4.0)` should find the smaller one." ] }, { "cell_type": "code", "execution_count": 7, "id": "6ad2a4e7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[2 2]\n", " [2 2]]\n" ] } ], "source": [ "init_guess = jnp.array([[-2.0, 0.0], [4.0, 4.0]])\n", "paths, stopping_reason = zs.zero_contour_finder(\n", " f,\n", " init_guess\n", ")\n", "print(stopping_reason)" ] }, { "cell_type": "markdown", "id": "72afc481", "metadata": {}, "source": [ "Both the forward pass and backward pass for both guesses returned a stopping condition of `2`.\n", "\n", "```{note}\n", "There is one row per initial guess, with the first column being the stopping condition for traversing the contour in the forward direction, and the second column being for the reverse direction.\n", "```\n", "\n", "Let's check what that means by looking at the `stopping_conditions` look up table:" ] }, { "cell_type": "code", "execution_count": 8, "id": "e2ae31d3", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{0: 'none', 1: 'end_point', 2: 'closed_loop'}" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "zs.stopping_conditions" ] }, { "cell_type": "markdown", "id": "8e7c49e2", "metadata": {}, "source": [ "`2` indicates that the contours have both formed a \"closed_loop\" before stopping. When this happens the resulting path is filled with `NaN` values after the close is detected. These `NaN` values are always moved to the end of the path array for easy trimming if that is needed. As a result, If a contour closes on the forward pass the values from the reverse pass are not used.\n", "\n", "```{note}\n", "The `ZeroSolver.path_reduce` helper method is provided to remove these NaN values, but because each contour have a length that is dependent on the inputs, this method is not compatible with `jit`.\n", "```\n", "\n", "Now we can plot the resulting contours along side the initial guesses and the value of each point along the contours. The `path` object that is returned is a dictionary with two keys:\n", "- `\"path\"`: array with shape (number of guesses, 2N+1, 2) with the contours paths for each guess\n", "- `\"value\"`: array with shape (number of guesses, 2N+1) with the function values at each point on the contour" ] }, { "cell_type": "code", "execution_count": 9, "id": "14713592", "metadata": {}, "outputs": [ { "data": { "image/png": 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cmsqjKohtFFIbhrz6KbKebYvQm4wLPylGZzvK/hdChqsZcSamhcJr37zOt/3+ilKP1v5d0PhZsv1ykNtSQ+C0V5TlwuC5557DGWecYXxeuXIlAGD58uW4//77cckll6CjowOrV6/G/v37MXfuXDz22GMOi2yCcDjllFPwpz/9yTLtr3/9q6GE02r5BRdcAMBUy1esWFHu5pYWW34C/OGzwNRTgaseLfnmslLMY8JffhgYNwsYG73jP5Lxwu4e/GLTTgBIiG2VQi7wB3XJHX8HAGTzCq553xHFaFIs0TcsVboJsUBVEFsa9o5wISqtK/n1ILNByUk1cJgobawUGQ6CYhHmaiKglWxq4CzIjEa6nSv63nOLh2Vt242Q2ud1U2/9EksVSm6r6JLyxOmnnw5V9T7xK1asGHlkqsjwU75XrVqFPXv24Mc//jEA4L/+679w55134vrrr8dVV12Fv/3tb/jlL3+JRx55xFjHYaOWb/259n/nP8uyuVgPxG5/DPjVFdr7m3oq2pRSQFVVqGphv8kD2Wid/a27unHj77fhy+fOwsIZrZG3nyA+eGF3d6WbUFJkRqAaHQVVRWz9SG1BJNetRJDPAzXs85aLaQ9XDfjjXYzml6qfEHdCGvPmhUbQ/WGX4vEnu0FIbhCbciCiGsCaHGdy6xWD7LdcgvLDT/net28fdu7caXw/Y8YMPPLII/j85z+P73znO5g8eTJ+9KMfGaV+ABw+anlteUmG7DOQU1HseLzSLSgprrjvWezvGcYfP/depIRonXYpYofjkz96Bv1ZCR/7wUa8c+u5kdaRwMTvtuzBjDH1mDNlVMXaMBJtyDRG+v4FRdUQ27CktlSENkhHMK7k1Qth2xyUCLNQ7MNTMqIc49MYl2ssyHXAaqof2XUjuUEILpkeKbOxjzU5jjZkst2E2FYP/JTv+++/n7nMli1bPNd7WKjldS1l3VyhNsiSYuBA5EVVVQVXzLToJcDfX+8AALy4uxvzp0Ub0IiquPdHVHoTOPHMW4dw3UNbAaCigwQjXdEc6fsXFFVBbAsltUEJbVQyG5ZkxElZjPrQLycR9kOMDmcoxIWcFgKvffA65162YsCd5LqpuIFtxy4qqp81OSp5LRfRTYhtgsMGtGKrqsWtWcVArIltfzRi+5vNu3HrY6/hR5cvqKiCFhTZfPQ451ifv8ME29vjka03IwqVbkJJkSi2GqqC2BKUk9C6dfiCkJFCiGuxOpqFxD+G2k7ADZWSxJWKNMeReMZpUIQG6zoISnr9FF0/khuW4Aa1Jgclt3FQcRNim+CwQR1FbIe7gVqbgntwB/Du08DcTwBC4V2cOBMjtf8AotzCX/jVCwCA63/9Iv78+fhnUS0kgVdUK3KC4iEu99BIVzRHOnEPiqohtoWS2lIS2jgmlIq6rbDPnzBEq1RJOOJIQP0QV4IaFW7743bO6XPGGphwtRjrXwQhuAVnNw6QMTnoukoNLiKxjbkTMUECJ4S0+X7gkJPY3jlff6MC868oeHNx6ZSzIPfuL6gTlxKr4wEwnI9eS1iJGCMt8Fysz301IS7HcaQrmiN9/4KiaogtjUJJbVBC60aYip1QKuh6wyIKkQzThFKSYMe2YvJgJKgkMY0bJ/Y6NUGSRHmRXC+Cy4rDLXp2Y9s67W0LSmbjds4SJCgXnnnrEDa+dQgrzjgKYsQEQBao1A05eBCASwmXvVuB+eyvwiA2yaOkrEbqqdEoURooaJWNmVShrSoZ6Bj0QhRbmlSFiStOiG3xUMnjSF9HI1+xHdn7FxRVQWzpTqEXiS0GoQ1LZv06rBUlQEXYtmcN0jKpwsDIUDgrtQultpv7rd5NdWWt337/EaLLisllWZSDZje2rCcEuQ1LZsuWFZlnu1KCLJcgQSlxyd3/AgBMaK7BJe+ZWvgKaaI5cNB9vprmwrcFQJZjQG6Ge4DvngRMmg984pdFW21TbXy7gPSzMysVR7ENE5ItJHaWoqGSdvA8df+OdEVzpO9fUMT3qcZAMUltEEIbhcwGtiVX8PpzU6BYCLo/YRTVQjr4lRxArVZiWq7tu9amtS3uRXTd1FxWTK49DtfLnuym/NLrLAa5rZQlmefUiDG2Mei0JzgssLNzsDgrsii2h9znqx1VlM3FQrF982+aOv3Gn012JmWNr4fUNGojrLax5jBTbEMsJ46AwfS4oJKOu2FqUCTuMag/2fgOGmpEXDhvcqTl08VwxIwAVA2xLRapDWI5DhN762tLjuF1FqZNQUlwKQgwcztV/ltTbpJarOsvyHUQNM6Wpb7a1xGU4LKSTNkJrpt6G9aWbN+HKN+VCnzEGNtqv58SVA+Eov0YUjfXoE2xzQ+Z74uk2MYiDKZ+nPk+26vtW+9eY1Iv6lAT0GZLE72mGBNbi2JbpKzIiqpCCJhuq9IDyiMJlVRs6fhsUYjvOe3oy+Irv38ZAHDe7ImBwzbysnlvJIqthqogtkFJbaEqrd/8rHms37l+pW0v5tYWVl3FKH0RLxIUhzjioKjUD9tIGwzxirN1U3PdVFw7wQ2q3nqRW8t2vdTYiCS5HEQ3IbYJ4g43a+eDm3ZiSmsdFh81JtiKaMXWXu5mqMt8n6oP2UI2YqHYijXm+959GrHtftcyS1ZSUJPyV6T6hvPG+8aa+HYBVWoAoxArsjXGNvhyiWJbPERN4FUM0IMicbiV3UAfo95hCa31aY+5TdBuhrgr0uVCfJ9qLvBSai3zeai0xSK0Xp39MCS2HEQmiOIWpM0s8mtH0P0JY4l231b8f3xKeX4rOVjidi2w9teL7Co2FRbwV2L9CK59GZY1OZIaGyKZVDmRENsEcQdLgHhpdw9u+O1LAIB3bj032Iro507fPut3NLENZTx1RzzKxdj2edxMoOsdYxIPFUM5ORCx7Rkyia0Q4wcAfZqHC1FsqRWFIVhxPjbVhkreQ/SgSBzuZDfQXbmeoXxgYksr0tWS5bzUqCpiG0WpLZTUBiW0fgSj0ipcsezHxSK/QGHHpBikOAzKdf7irurTcGurn/LvRnJZBBdwJ6uAdj/72ZO9Yn+jKK5e8bZuSPpICQ53sKzIe3uGGHP6gSZ5+61fDXVTsxWnGxsLKzKtUhMyTxFbQMVQXkZLgFXRxDbOChbdtmIptmGQENvioaIxthbFNr4XPN207sEcgGCOk0JKYY1UVA2xDUJqvUhqGEIbhMy6der9CBAfQ+JiH8UslARHJWdhHjqVHijwQqnIaZz3mb4O/AivfT8MkhhQxbUT3CDqbRDl1suWHIbAltOCTG83UWwTxBksxTZS5tmgiq1anNFPucyDqEzQ+0xia+2KbcAOLk1sK2kR9YNSiuRRIXY3IbbFQ1TFluMKH3yhiV+ML3dL2+h71A/DVWK1LieqgtgGtR+7LUOT2rAKbRBC60Y4gpLYSluRg7TT7QcwSNuDqqvFIoRRRuUqpZSW4tyXcvAkzHVgP+/0MabPEbNEj4uK66XGeqm3XnG3kUhrwOVZxLkUSIhtgriDpdhGIg8WYrvfWsOlBFZkudz2IBYsiq2uUlPEltOtyEFgUWyL0bYSgW5bMZNHBUUpiO3PnnkXo+szOOeEtqKvO86IrJpzHKQC2RpN/KplICcMsbVYrWO8f+VEVRBbN7iptVFIbVhCG4XMFkJi3Op7BkWhca9+ZMnrgVHOmFug8nbeYpLVuCn8Xu3xU/7dVF2WkmtXce3JprzU26Dk1rpf1anUGttP6tgmiDlYCUnp3101YFZfC8mTc8BgJ1A/WvscQrF94rUDuOG3L+JbF8/BaUePtW6CepbFInmUPcZWVYHOt4xJPNTAlkSrFTkO+8aGVbEtUh3bEMsVm9juONCPLz+8DUCIePIRgqjEli/Cj2nVKLbU+6iKbRyiJuKAqiK2QSzIQUhtVELL6gSyOvqeSaWK9LAs1noAWwmViDbksASMRYRHeie7WCQ1bsfJVC7Z+6cwiCu9nBfJDUNwvazJUWzJvu8DJpIqB9HlOS7S9ZUotglKCZo4CQwvMp15VlbUgOU4bDdT316T2A530xv3XMuV9z8LALjsnk0OokEvGg8rMtWIg69rau1wjzGJi2hFjnVH3xJjW4hia74PpdgWeVB5b3eUePLKoXMgFziBkR+iDg6JPIdcgdserpLkUfSge89gCMW2Soh7OVE1xLbUpLZQQutGNrwIaCU6lawOth9JdlOHvQiWn/oatBMeZ+tIsdXUYhHWYg560AhzHbgNeig+FmRy34UhuEHU26DKrWW/QpLbSii1BjiAi3L9JMQ2QQlBx9axiAL9bJAUFYGqVdiV2L79QNuJ2vvBTvf5QoB+TsUjeRTVhoNvAG8/CQDIp5qQyveGsiJ3D1ZHjC09KFJIghzaSl7JGNugAw9xwHcefwPffvx1fPOjs/GxBVMKXp8sR7ciF4pqSR5FozuMYksR9zjfz+VEybWfPXv24JOf/CRGjx6N2tpanHjiiXjuuedCraOcpJbjOFdSS1QR8mNM7H+W5XnO8qK3bX8x95XnivZirp/RDr922ffJbR+t++H/CgL6mMftFRRBjoVvDWSfc+B3PoqBMNt12zfW8WPtv9d9qH1m39esNrPmc7v/EwUzQYLiQaI6tKy6oDR5yAeVRu2dt57d5ntLluTonTx6yViU+7GQdBXYfD8AoLt1NgBtfCooceocMDWwGOyZK0qh2IYhNsUmttWUvfbbj78OALjhNy8WZX1RFdtilHOsFity5BjbAuLPRypKqth2dXVh8eLFOOOMM/Doo49i7NixeOONN9DS0hJpfVFJbVBC67otH3XW0an3IK1+KMaNbFotQ9qDbTZP3/n1+zAombIrfoUqlOXI6VEq228hBDRu5MvrOlBttl+AbV1WVJU5D63geqm3ZNOKGk25dVNeC1Ft7e9LCa/BLO/lStCYBAl05KmHNIso0O7kwHF4diW2623zfe9u9/lCwKLYxqE3bN+Xvc8DALpbZmNs+1PgoQQmTlopEQ2x2DcXFC0rMh1jG2J3WQMxhaCaiC1BscZ0KllyiT7ucb7eI2dFThRbB0pKbG+77TZMmTIF9913nzFtxowZBa83SqIox3IupDYooQ1CZl1V0xL3csOs35op1ns5uyXLa/YolmcgXFKsOHbKC1VMC1m81NcVQZDrgEV2g5BcezwuTXC97Mlu1uSo5Lba4OUC8VsuQYJSgVZs2Z1UWrEN+uwnN68IKJIliZJFvS2gk2eNsY1DZ5H5g4r2ttNw9Gv/V1NsA1qRacU2zpIt3bRCSCH9exWm41/s31O7JbbSSS7Liaiuh2KEe9GDIjG+3K2KbYgY26TcjxMlJbZ/+MMfsHTpUlx88cX4+9//jkmTJuHTn/40rrnmGub82WwW2WzW+Nzb22u8D2LVNOd1Et9CSG0YQutHqC1trsBzzX7hez28HQTGZV5WDFJY0ksQlRiGzRLth1JYeqOushg/sFHXwTy3Aa4DepYgJNeL4LLIrf27QsgtC6VQbUt5vyeKbYI4QqJ8oOzr37wJpaCjSkS9bD0SOLgd6NQV29ygLStysN8EFuG2ENs49BaNfT4CEDJAx6vA4msxnNayOWvJo4Idv64qibGl21ZIfCpNqsLsbbEV2yGbJfYw4rWR49SLcQ6qRbGlD1H3UPCUWRardaype/lQ0m7NW2+9he9///s4+uij8ec//xmf+tSn8LnPfQ4PPPAAc/41a9agubnZeE2Z4gxa94utKxeptSskdMeSFevKcc6XfdlSvWiw2sFqk1+7osxnP3Zer7AIE4Na7DjVIPvjtcpIsdIFXAOh9i3Eet2+Yx0DRww6IxaX9Z1nDLzPs8FrH5nr49jv44hyXevFwIUXXoiWlhZ89KMfLfu2E5QXeR+1jJ4kBVVsyUKjj9T+d76lTevdY58x0OpYCWroDmLUxDdFBWlCphFY/v+AD98FnP7fUPQv+BBZkS0xtjHYNVfQMbYFxBHSgyuhFNsiM09aUY/zYS8FJMWqVgdFsa3Isb7eqauiO0xWZIm+vovaoKpFSRVbRVGwYMECfOMb3wAAzJs3D9u2bcO6deuwfPlyx/yrVq3CypUrjc+9vb2YMmWK0dn0syBHIbV+hDZI8hnWZ9Yz0Z2kMCcXDZpqFWzeICNrquq+L/Z1RbZFx5xIeCEqkQy7XKVHfL2uA9a5p2NhAe0hbFdxaQU3qHrrp9zSMbeFZkp2LBdStS0Vog4IVeI+u/baa3HVVVe5DnAmGDmgSQWrU0nfF8GTR+nzjZoGcAKQHwT62602ZHo+H7B+fy2EOw69RWNfOKBhLDDvk9pkQ5sIVsdWkhVL/F4cds0NdNuKpdiGYZR06aliWIftsZBCjFPSizxX1OvemsAreN+lGH1jixU5xsyWPtxdg7nA19xgrlqIe/lQUmI7YcIEzJo1yzLtuOOOw29+8xvm/JlMBplMxne9LFLr9r0xLSCp9VJozXVxzPcsxdOrHdY2l+Yh51ZD1DGfLSGP83vzjnFraiE2Z7/5/ZYtNSphBw57SZQ7xpbVPpUiivb5aYIJmPcUbVVmWZRpghuV3NLwsyTHpoTPCMXpp5+ODRs2VLoZCcoAOm6WdR/RHc3QsaxiGhg1VUse1fEag9gGW5/I+HGMXfIoGA9Jy1TSZecDlvuxlxGJs3WRblvQ+GEW6AGTMHtrL0WVClRj2R3DVURAalMC+rJS0dZnKbkUYrlilPsZqpLjTrctL6voz0porEn5LjdInac4E/dyoqRa4eLFi7F9+3bLtNdffx3Tpk0LvS6/TrthA2YQ0EJILa2EsOzG2jrZ1mKyTnvZE7fSMRxf3JfbtrxKrriWaQlgRQ1qcfZaXxDrbKmt21GsvFHWEcYWHuWYBS0zFLYUkde2/az29Gfje+oeY1mUzfms95S2PZd5mceDaqfP96yBIMuzJWaD7aW8tmk8+eSTOO+88zBx4kRwHIff/e53jnnuuusuTJ8+HTU1NVi0aBE2bdpUpL1MUG2gLYgsgqjYOnOBoFIkb+I87f3u54CDr9vmC6jYsgboqPexSB6lGqN51sl6F44LaEXuGrDG7sW5H0wf9mFJjtxpp89fmEEKOr4zsE3eA3SSn3gMlrijNh2koHRw0IcvzL7TVuSo53/IEmMbaRVlgf24dA0EsyMP5GhiW9QmVS1Kqth+/vOfx6mnnopvfOMb+NjHPoZNmzbh7rvvxt133x15nfSPkN2CHJbUBrUesxRaL3XWK7Myx+gw25cvGgzVy/1qF8B5/v7zgt+DyLvdXuqeHfRmyqU+lgKlUlrD2nKK6gLg/Z6Yzm3Zrztf6zKl4JL7kNiT6eRSdmuyn3LL07Zg3mk5DvU9S+G1LF8ZtTdMbWj7cmEwMDCAOXPm4KqrrsJFF13k+P6hhx7CypUrsW7dOixatAhr167F0qVLsX37dowbNy58AxNULR55cR/u+Cs1sM1SbAtJHgUOmPwe4OXfasR2uNtlPm+IgvMmoBeNBQmhyTwFRdX7NAGJbaeD2MZg31xAt01VNUtpTSo84aIHTMLsrqXGsqKgFoWRPXvyqDij6MRW8Q5JcAN9DhQViCKaV0tyJftx6RzMYeroOt/l+rPVkRyrnCgpsX3Pe96Dhx9+GKtWrcJXv/pVzJgxA2vXrsUnPvGJUOth+cxZcbUEbHXMSXTN+W3rZBJkp+U4KplltrlEPE7xIBMAiTtkf6dSZMK5Xm+Ls5+1mWybRlAeVql7NypPDEPSgxKNsKTV7Rz7wesaILDXoAV0CzH9o6SoxvFTGSTSzT5MbMN2a3Ih5JaAtiSz4Ff+JwxxLfU4jd2BEXw57T+dgR5wDwtZtmwZli1b5rq+O+64A9dccw2uvPJKAMC6devwyCOP4N5778UNN9wQun0Jqhev7e/Fmx0Dxme/5FGhy/1wvEZsAeDdfwKyXlFh0gJgz3NgMmkGmFmRacIdi+RRFJmnYFiROdViSXRD16CV2MZZwbJfLsN5ORKx9XMNuMFiRS7CNTBUJQQL0KzIxURU1Zw+B3lZgcCHb1e1xKDaj0vnQNZlTissVuSitqh6UVJiCwAf+tCH8KEPfago6/LqHLK+Y9kVzfmtRNfLmshSaVmKMH0T0kTCTmzYbS0hs/WCh4LmRXjdOtFBCa82TzC1145KJ02yI+y5C0Jeg5KUKIQ1zHH3Wj+L9LrVoSXbtBNcerrlPYPckvWGJbfGfnPmQI+9BJAfSS30+1KDDj8IuxwARwb6G2+8ETfddFOodeVyOWzevBmrVq0ypvE8jyVLlmDjxo3hG5egqmEnIazbg+7MSWGTR3EcMGE2kKoDsj3atNoWYMzRGrENqNiy4vjoezkW5X5cYmxV1Wx7/7C/dbGj36bYxrgr7CS20TIjW8r9hNhd+rIIfG16YLhKLLEAUEcptsVInBXVzk8n8IqazMqqlMf8wFPoDGhF7qeIbaLYaig5sS0Fgqi1dlLrFVNrV2qDqLSs9bmRWZYC7PaZBhdydEpVnFYku2rm+N5tusC5PnwVjx9DXgmn7DHnC6D2xhFhbJ1+xDUISQmlBIc4lDz1Y+L5W8I7rx3H+acszLSK60dwg1iTg5Jbpr3Yw3JsVZLdCbL9vbnu8tuRuQjxstpy2v9du3ahqanJmB4kiZ8dBw8ehCzLGD9+vGX6+PHj8dprrxmflyxZghdeeAEDAwOYPHkyfvWrX+GUU04Jvb0E8Yad2PoptoE7v7QtV8wAC68Bnv6ONu2YZeZFXVAdW/q5FYPOokHmbVZk6nckELHts6pAcdg1N9hJd9TMyH6ZuV23T7sJinCgqqWeKmC1Ike1gNOIqtjSg05Ry25VS5klZ4xtsFq2tCId6x0sIyIaFMuPIGptoCQ/IUktnQjHTmqJ/c+SrIkkZeFgvhgJW8iL4wXHixfT4MU08zuvl98ygiiGSyxD7wNnPUauyYNckljRx8sriRU5vmGSGZUDUdoUZH+9En9p2/VO+sM6R2HOWyHrZ63TLXkZfQzp5QC3e8zaBtb5IOu3g+nQ8FiXXyIpY5rP46XQ7yuJpqYmyysKsQ2Kxx9/HB0dHRgcHMTu3bsPa1IbJtHW6aefbtRxpl/nnnuuMc8VV1zh+P6cc84px644YLczssv9mBMDkwe7LXfxdcDYmcCRZwEf/F/TrRtUsWURW+p9rMr92J5tCqXYDgQgtgf7NWJL9jnO/Mp+2KNmRqZtxGEUanr7xVBsqynGtkY0793BAjJSE8iRVXPz+s4HjcG3oVoGFOzXe+dgMGI7kFiRHag6xdYrYRSBm1obhdRap1PbsKm09vawEk5p8wvM917TwoAsz1Jv3SDwIeZn/Mi7xfGadk/2quh+h18Mpx2VILeONoSw5/gpsF6DMr6EKSBjKqYCbq9JCzivA1rZtyi5uorLUnCJemuPvSXKp5ctmamuesTJ+iWKKgR+8bnFBo9oxLmYt9GYMWMgCALa29st09vb29HW1lbELY0MhE209dvf/ha5nNnZOXToEObMmYOLL77YMt8555yD++67z/hcykEKL9Sk7LZZhmJLvQ9OHmy23LpW4DPPmF8bD9voiq3FIl3OG9kNbsmjqJjb/qx/R5gotuMaM9jXMxxra6a9bXQd2DCQLGphqBYY74LHf7uDtlLH+bgDVkI5kJXQWp8uaH20nT8MubQ+H6Ids2qJsbVfE0EVWzorcpyJezlRFcQ2SIfNz4JcLFIblNAa62EQWTt59fscBoSg2tfBmk6TWRYhZhFeJhlAeDsz4G1pNtsYjkCWG0HjGv1IpdvXnoTXZ52FDpLQyUKDXAfMdMHkK/1cW86njeDS9mQ3a7KfLZllSba3mUVeWYmkjPl97Mh+KBZZ9tyGzTkRfLnitSGdTmP+/PlYv349LrjgAgCAoihYv349VqxYUbwNjRCETbTV2tpq+fzggw+irq7OQWwzmUwsBhIcii1jHvoeDV7uh61emuDIygOtjkVs6cbGK3mUFfRzZTCb942HJIqtSWyL2sqiwv7MHI6q2CrRCKVFsS3C4EY1xdjSx6kYiq1VNY/WjqjnoHrK/Vg/HwpKbLPVQdzLiaogtgResbVREIXUhiW0LDIblOD6TQechCMMceV4wVepZc3DI9iDjqXqAdbSKm7Lmdv3305Ax1kolCIpE+A9SOO2vNt0P+JaKLH1g9d1YI+RNYgrCX+zkVG9xcaydvXWi5Qa7XEht0ETSQXaZ8b2y0Fc/WCv/xt8uXDz9/f3Y8eOHcbnt99+G1u3bkVrayumTp2KlStXYvny5ViwYAEWLlyItWvXYmBgwCBvCTQUI9HWPffcg0svvRT19fWW6Rs2bMC4cePQ0tKCM888E7fccgtGjx7NXEc2m0U2a8Zd2rNjFwJHjC3L7UPdl+FjbF2u97Axtj7Jo2JhRSawJ4+iPquqisGcjPqMe7eOKLZjG2sA9MRc4SlOjC09YBLmVFpIVTGyIluUwzgfd6vy1x8g23aY9YXpr9GHKeo5qJZyP/br/VC/f1ZkVVUTxZaBqiK2djhJpfY5qFprWZcHqQ2i0voR2iBE12xLCELCmFfxUGftRNXvcxCoiuwgX3SWW3oawCZ39A+OF0FkdY6ilrIJi2IlawqrwkYZ8Cg2qQ1yXbCIrmVwg7Yd81b1liaktHrrRW7pUkBug7l2cutFZL0yJAdVbStFcnkuohU55DLPPfcczjjjDOPzypUrAQDLly/H/fffj0suuQQdHR1YvXo19u/fj7lz5+Kxxx5zJJQ63BE00ZYbNm3ahG3btuGee+6xTD/nnHNw0UUXYcaMGXjzzTfx3//931i2bBk2btwIQXA+E9asWYObb765sJ1xQZCsyNZY1gh1bFkwstIVEmNLk5o4WJHdYmyts/UNS67EVlVVU7Ft0uzpce4GOxTbqFmRLecvmmKbL8I1QCufcRorYYFu3mCucGJryUwd6hwUptjmZSVyHeNyw35NdAQgtkN52bJPMd69sqJqiK2bGuGucun/A1iQWaSWZT0OSmi9yCx5T5NXTnAnuRzvf4pUxfrg4eFUclWZeqjav6M+q4rsUHdZn/3IcFAbs9ko/1vSLZa3nAi6+WKpr2HisEtBdL1Uf6/rgpBcyzmnUwnDaU8uBrn1ire1I4hqW8o43GKiXFbk008/3VdtWLFiRWI9LjHuuecenHjiiVi4cKFl+qWXXmq8P/HEEzF79mwceeSR2LBhA8466yzHelatWmUMTgCaYmsv/RQV9hhb1j1jSR4Vuo6tj2IbsJtHlxQx22W+L0Z8ZcFwibGly/3wUNA3nEdbcw1zFf1ZySCH4xo1YhtnhcfetKiKbdTERdZBl8KOk6KoVVXHlt5d2uoaeX0R45yj1bk2MWy7ZuKslJOmpQQOeVlFR1/WN7TAfm7ivH/lRNUQWwK3pFFeNWsd67CpstpyzmlhSK0bsaXfEzJLiKz5nXka/JJLsZF2ElkLWZUsJISM3BtklxcsKq8bgaVRLGUXYKu79u+BaIpUKeEbN1siElssshsEUS3sBOScW86xojrsyVHIrdketnLrZkmOqtp6IajKmyABUFiirYGBATz44IP46le/6rudI444AmPGjMGOHTuYxDaTyZQsuRRdMgRwSR5lsRoGVWzZJM9EOMWWlcOBbmvUGpxFhYtKTT+FOQB9HrbRg3oN2/q0gPq03ueIwa65wU66K2lFLlSxHbCpnnHnH9YY2yIrtqHinAu7D+2ZtONwK7uB7Ou4xhrs6R7CcF5Bf1ZCY03KdZmBbHVdV+VC1RHbMPCyINtjYq3T3EktvZwXmXUjtDSZ9bIns+zIfhmP3ZVYk/haCC8vGdMEQSiI6NpBK79+8/nF2voRyFLUGQxlO/aYt9gktlCiC/hb3e3XEVlf2IEMyzb1LphBcBnqbRBya1mnC/mk69sWE4UkkSr1oEy5rMgJioNCEm396le/QjabxSc/+Unf7ezevRuHDh3ChAkTitHsUKBLhgDsTpeFPISNsXW1IoeLsRVZVmRLjG0cRqeCKrbuJKS9dxgAMLYxYwzkV5Nim41ax5ZOHhWCyRcjvpPAnoApzscdsO77QJHL/UTtrkUZXLAPhsT5sJNroi4toCEjoj8roaMv601sbYMOcb+uyoWqILZuJX78YmuZ66B+w2gLclBSa1dpWYSWthsTMmsnspZ5GMSXzMd6T+Cm0lrIq2ydpljmsRFe0bQ1c4x1KDabstt7ur1+Sp8XYQqapKoUCENsw6qlUQis32c7WeUY8XRebbKsC+zBE5adnXUdsP6b67atl1Zv9U4Hr7iT26iWZDfV1suOHMSqzDx+FbAqlyt5VILiwS/R1uWXX45JkyZhzZo1luXuueceXHDBBY6EUP39/bj55pvxkY98BG1tbXjzzTdx/fXX46ijjsLSpUvLtl8EDsWWQSroKXJgxZbEm7pcvAFibOn7mfWsL9QCWXS4xNjKFLnnAPR51LLd36MR2wnNtUZfKQZ75gqHYhs5KzJFqkJwo2KWfLInYIo7/6D3fbAIyaPyEWsJWweYIii2dmIb5yveGOvnMLYxYxDbI8Y2uC7itCKXsoHVg6ogtlFgV2st3zEsyPZ56d9ML1LLIrZuhJYX0/p29O8E1npEU+ENQWydxFWyTFcVWVNHoREUNtEFVEWwfZYMclJsVZdsx23fvEiYhSyVQXbyI4SVIrF2AhsmRts+r3UQQqSmS8b8ZB7jWqCuAxZY59FhT2ZYk93Irbb/wTMllwpxShwF6ANykTJ5F78tCYLBL9HWzp07wdtO0Pbt2/HUU0/hL3/5i2N9giDgxRdfxAMPPIDu7m5MnDgRZ599Nr72ta9VpJatIyuyT4xt8I5r4TG2eYqosLIi0x3geFiR3ezXNLFV0O+h2O4ziG2NsVQcdi0oolqRpSKQqkIHN+yW0bgra3T7iqHYWksuRWtHFNXcPhgS58OuUI+1sQ0ZvH1wwDeBlMPiXqrGVRmqntiGVWvdLMhuJX3oZbR1CY4XPd1OankxbcwjiGkHmeV4EYJOeDleMMivygk4JNVhb7Ye3fkUcgqPrCoiq/AQOBW1fB61gow6Lo/R6RzaMv2oERRAkR1kVlVkKIpsIbtGkh9Ftqi6im1ZU3kTLSQXgIXoFtOs5UVq3er0lgte2w1KbsN89lJirQMf7Dhtvzb7zedUZEX9PWPAw4fk2sFDdiW3gFN1BeCIt7W2n63aGt8zattq27GXJHLWtDXmDRk3W644W57jItV7TqzIlYVXoq0NGzY4ph177LGuMWq1tbX485//XMzmFQRn8ihnuyMlaSpCjC3dSfZPHhUDK7KLSk0fMk2xdSe2+3uGAABtzTXGfR/nZDP266UYWZHLSapoVJuyRrevGIqtFDEzMT1rFNXcSWzje+DJoAvHcRjTqPGAg33exNY+kBXn/SsnqobYutmQvZeh3vtYkLV5bGTXR6l1U2l5MWOdzgvgU2njO14nsLyYBngBQ3wDXuodhS09rdjS04TX++qwd1Ajs2EwKi2hrSaPIxqGcGT9AI6u78XR9X04qqEXaSVrkF4W4TUUXUJsbaouy7pMJ6XiqOVICSK7dZkcw0LsyYXGehaCsKTWb1pQJZZFYINY1nmPbQUBfZxpwqqde5uyz0sWkstS81lwJbeMmFvAGW/rZkm2bMMlqVQYi3FYO3K5wUVUbBMrcoJSIS3Y40Gd81hrhRa73I/7/Up3tP2SR8Wjji07rlilPpOsyG6gFVuyS3HuBxcrK7I1cVGI7VvWUWDyqCqzIhc7xpYeHAqjVhes2NqumVjcyi4wFFtoii0AHPAhtt1D1vs97tdVuVA1xDYI7CV6AFOt9VvOHldrXywIqaUJraArtTShFXQyy4lpHFSa8Uj7JPzlwFg8e6gRkupsJwdgdH0aTRkRaYFDSuCR4jkoALKSgmFJwbAko3Mwj6ykoDsnojsn4rXeWgCtxnrqBAUnjhrAnFG9mN/ciUXNHWjiBwyiq0g5J8nlqRhKBsnVCItVybMrunS3JszPgpc9mZyLoOvxQ1jCF4bcRrUUByWyhsWd9Z3r+sIfO9rCTj7blX3SVuIKsBNc1vqN9gckt9q+uluSabiptqVAUFtyoo4mOJxgr1DglxU5cPIol0RK1Ib12dx/dSxWZFamfqopsqL6lt0oOdxibFXzGHBwdnRp7NeTR7U11xrqbZxjDp2KbRFibEP8FlizIheo2FZZkh+LFbkYiq2ljm0IHEYxtqrRxwHGNWklu9p7vYltz6CW6VzgOciKGvvrqlwYEcSW9YPDUmvtNWvtqq/9d5LMH4XUEkIrpOtMhTbTiOf6xuKed2dgfXurhcyOrk9h5pgGzGjIYFpjBqMzIppFwSCHLGskp7dPVVVkAXRmJXTlZLQP5bFvKIe9fVm81TmIwRzwzKFGPHOoEcAk8FBxwqhBnDK6E+9vPYAFjR0QuTxUneCqigxZyoUkucFty2Etq0HBUn7DIsgyUS3HUYgsi5TaY7Cd5aPs/83b3C8jMgEzVlukLOo2kutGcHm4D2rQAxUscqt9Z/bpWJZkGl4xrkFL/9jtyJ7rrGBMrR0cH2wQz7lcTHYgwYgHU7G1xLKGTR7lF2PrDqs1knUPWKdJiooUw7JcNrjsMz0ezkPFIb2kDwu0YktIbiwSPrvAflaiEltaLQzztItUisoFjuRRBa2t9KDbV2i5H1VVrVmRQ/xoKlEcHRSqqdyPEWEBDhP0WtT79AEoN3QNagNZLXUpHOzPxf66Kheqiti6ZUO2zuOv1toTRnlZkL1IraCTVzqWlpBaXkxDEDMQ0rXgUnXYOjgBt209Gs8crDe2dXRrHRa1NWJ2Sx1GpwQoigpZUqAoKtQhCYOKOfrqRmzp49HMc2gReBzZVAN+VC24iRw4gUN7VsI7fVm81TeM1zoHsbtnGC921+PF7nr84M0paEnLOKutB0vHH8DiUftQw+Uh5AdNu7KUc1iWWeSGvNf+uyehAryJrpt91c/WWqhNOSqpZU0LQ2Lp6W5qLE1iWfOSdfHU9elYH91OzuXWV6kfMZttHaCJrNW+TqzrJskV9EERCZz+vd9ghp3cghFvq+2jU7Wl4VbX1nPbIUhqHONseURThBMncoJygZk8irovAlsNixBj60d27G3NywpSQgXvFpd9VlVAUTnwnAoOKg66JJvJSYrxXVtzDfjd+vIx7grbBxyiWpFpUhW1hmqhcdaDWTvBiu9xB+yKbWEiRCFqN71kcEeHiWoq90PuRZ7TMpcDZiZzN3QbxDaNg/25WBP3cqIqiK1nnVCPpFFe62CptazEUtZ53EktbT0W0nUQxDSEdC26uBZ8ffsJ+O0urTRDSuDw/qktOHNCM9oyIvJ5GbKkYDif14mtWe9T++//QCWZM83284aay/EcWnkOY0fVYmFLHYQjxqBXVvB67zBe6RrE5n296BoGfr2zFb/e2Yo68Ri8f1wvLpy4F+9v3Y+UkgUvZt0tyy4k16niWtVccjyZRBdslS9IpuQoKq0dYWNp/UrtBFFk7bGxLDXWTmR53vqdMQ8vaMSVJrMqgHwWyA0DuSFAGgZkSe8ZSdoNIKQAMQ3wIlBTB9Q0gON5LX5akQE5axJZhqqvKjKQz7kqtG7qLcuWbB4LqyUZvMpMJAXANUMyKwlVqVApFZd2o4RdLkGCcoBFopQodk8PwgrAJH9eMbY+dTXti+YlFUgHa15J4FK7V1VVKvpWxaEBtmK7p3sIqqol9BpdnwanryfOHWFHjG3Ucj+y97l23T71vlArsrPcT4wPPKzHqVDF1h6fHM4Obr7PS+F/vO31g+N83M1+janY7u0Z8gyD6BnS7veWej3pbIz3r5yoCmIbFl5Jo7zUWnp+L7XWVMVE63Sd1IrpWvDpWjzVOxUrXzweB7MiOABnTG/Bh6ePRiPHIZeVMDSQM8isoqhQFMUktPoIYRDbhkFoqRFlraPLG98JomAQ3RqRx7zGGixoqcMVx4zDm/1ZbDk4gE17e9Del8Wje0fh0b2jMDpzDD486SA+MmEXjqvvgiBmoUo5B7EBAEXSbjCLXVlXYu1KahBl1U50gWCW1mLBa11RiCw9PawqS1uKecb1CF4AhIxOYnlgqA/obwc30AkMdAH9B8EN9YQ+BgCg1jYD9S1A03iozePBNbZqRFfOghfTxmCHLGXN8yCb14fj2MGd3BrzkJvQxZJM5vG6N7wyG9uzI7uty25HjnMCKe1aCK8oRbEvJ0gQBUwCSb0PnqCnCDG2lky53oQbAHIVz4zM3mdFBRTwECBrxNZFsd3ZOQgAmNpaB44zc4jEuR9sv16iWJFVVbWdu2ikqtDzX23Jo+gGFpo8Ki9ZdzZqZuooqrmT2IZeRdlA9pXjNFcFoGUC7xnKY1Qde1SNKLatLt8frqhaYhvGhhxUrQ1iQTazH1vtx0KmFmK6DkK6FqgZhe/vPBbfenUSVHCY0lSDK48bjykZEflhCQOSAlmSIRFCKysOhZbuQHuptvY6h7Rqa/ks8BayS1RdQeQxSeQxta0JH5kyCruH89jU3o+n9nTj0CBw71ttuPetNhw/ahiXTG3HhRP2oJ4bAqQcBDlrEBtVzISyK9NKrjnNLCWjnRcrAWaRXX3n9ONUeNyuVwyqncCSNprv2SV3ohBZsi6BKhdFsmiDEzVllRMAPgX0dwIH3wHXtQfo2g0uz47LUPk0pLpxkGrGIZ9ugcxloPIpKHwanCpDlAcgygMQ8r1IDeyGMNypEeKhHm39ANRUDTD2SKhtR4NrGgtByQP5QfCSRnJl/ZwpUg4cL+iDH5o1WZG0TpdX3C1gklw3SzJLtSXzuyWRYsGRLbkAAlvpeNuE2CaIPZjJo6gYuqA3kGHL9YuxdV9f3qcEjEOxrTSxdYuxVc295KGiazAPSVYg2mzTNLGlVxNnhcfeNjtJCQL7NRVKsaW2n4ugFtJwJo8qaHUlh0WxLTB5VNYuUERVbKMQ2yqqH2zcxxyHmpSA1vo0Ogdy2Ncz7EpsuwaJYpsCEO/9Kyeqhth6lfkJ0p9zklunWssCm9RSlmQ9ppaQWjXdiBtfn4OfvT0GAHDmtBZcMmM0ICkYHswb6qwkyQahtSi1hNgGtL4o1EODFzijo87zZgwiAPAkdhGyheTKEmeouVKex3iRxwWTR+GiI0bj1Z4hPL2/F//a2Y2Xu2uwunsa/vfVybhk2iFcNnU3pmS6wAs5QJUMJdcRj8tKPOWi5BaKYkVAsQgswEoOJbp+XyiZJdMdZFbIaGzs4E5wh94BOt52EFlFrEV29IkYaDgW/TXTMVB3BAZqpiEnjIKimvHaLPJGVH2e55CRe1Cf3YmGoR1o7X8BdfueBj90ENj7Mri9L0Otb4U6fT4wejJ4IQNezILLCYZSqyAHQS8RJUs58GImMLm1W5K14+Gu2lrr37rbkYuNShPaBAmqBX6W3+Dlfti2XAOGFTlYHVvWc8Fum648sXVTbFWo4AHIEDiN5XYO5jCuscYy3y6D2Go5Poi1Mc6PLvv1EiU7r/28RS33U+j5t8epxp2AKMVUbG192TB7bhlciGAHJ22vTwsYyMmxvt7JvpKnWltTjU5sh3DchCbmMj1DZoytto6SN7MqUDXENijcbMhuIL8T9LwWmyc1zfzOjKsliaJ4MQ2IdfjK63Pxi3fHgANwxYkTsLi1HlJORj4nI5+TmITWTmZphdZPOaIJu0lqeSiy7CC6LJIr6kmreJ6DLPEQRE3JTckKjq1NY9bR47B85ng8e2gAf3qjA7u7h/GjHeNw75tjsaStF1dO342FzR3ghBw4OauRMUqxlXUiY4nDBDxJrtt77bMZo0tDVWRXQhoWbjbkIESWfh/VYswks7IMdLwD7sAbmnpKddqUdBMG205Fd/MCdDecgN6aIyEpAlQ6GVlWhaIQu7j3NUVUvGGhDn38ceAaZ2Hn6AshzFDRMvQyJnU+hoa3fg9uoBPcy3/VCO7Ri4FR4yDo+6bwAiQAKi9Dyeco1dlKbmW/hFIM1Vabzs6QTBNcr5q2djtyKVBO0psotuEhSRK+8Y1v4KqrrsLkyZMr3ZwRD3aMrfk+ePIocuP7JY/yirGtUsXWUcfWJAqj6lLYPQAc6ncS252HCLGttawlzgSLXC+klIk9TjUI7Epr1BqqBSu2VWZFpttXaIyt/diVc3CBtL0+I2rENsbH3ejD6INOE5pr8Mq+XuztZieQUlXVtCLrMbZxvp/LiaoktqT/FrauHKvEj7Y+M2mU06ZsqrVaCR8rqTViamtH4Y535+AX744DB+BTcyZiXnMthgZyhu1YypuxtBJJEiVTxDag/ZiGfTae5w1LLq/QdmxdzRI4i5prZKEFIKYE8JKm5ko52SS5aQEnN9Tg1IXT8FpfFn/Z2Ynn9/TiL/ua8Zd9zVgwdhifPXoP3ttyAJyS1RREouKK6UAkl0zX9smd6LI+a9OsNuYosBNXentun+1Jn+hpfomfXGNlBZ3McgLQsx/c7meA/a9qsa06si0zcXD06egcdQp66mchL2kkTpYVKH2aYq4oKlRFNa4rNeD1RWzsdAKy7JD2f0A4Fu1jZ6GmbQUmHfgtJrx9H4SBg+C2/j+oE0+AetQi8EIOHK91pMg517avKbcWy7biEcvskkiKV9gZkt33J7gdOSjKkYgqDHhecIQlBFvu8CW2oijif//3f3H55ZdXuikjFp878yh89287ALjF2FIxdKHr2EZXbPN+iq1tUk6qdIeRrdiqqgpF9yq11omATmzteJcotqM1KzLpPMe5H0za1pAR0TOUx2BODl1P2B4bG4pUFTHG1k7K405A7EndcpKCtBjNE+dUzaMNLkRJHkWU8oaMiAN92Vhb743Hn355T9HDBnZ1DTLnH8jJhtV+VKLYWlCVxJYFr/halg1Zm4+9LlZsrTadShYlCCbBTdfiT50zcOf28QCAq05ow7zmWuSGJciSjFxOgiIrZkytojAJLYvghgd98/OM6VY1l1ZyCcnlBR6iKEBRFPA8D1VRIYg8BJnHsXVpnDB7Eg4cOx5/29eDP7/egec6arC840jMaZ2EFcfsxZmj2zWCq6u4pD4uIaT2WFwj3laPoRUIceXNMkDFti2z4K7UuhPbIDVlPZM/iWmrMiukASkP7t0XgZ2bwWX7jW3lWmehY/xSdLSeif70ZORzWkZtdUgxlVmdyKrUNRV+wERmZtoWRB4yr0CWFeQFAW+OvhR7x12Aow/ch1Gv3gdu7zagaxfU2R8El2mE/WgS5dZ+/EiLWAMZxuBLAPWzEDuy33bCxN9Wwp7MCQK4COVIuErW5owBzjzzTPz973/H9OnTK92UEYmVZx+LgwM5/PyZncxOl1WxDVvH1id5lIfx0FrHltWuuFmR2ftMx9i21mlxdvaSP4qi4p2DAwBoK7L+XYx7wnZiKykqspKCmlRwZ5bDBhuKVJnvix1jW20YyEpIi9ESFDkU2xDLFjq4MJTXjntDjRh62+UGXe4HMOPhSRiBHV16BvSMyKMureeqifMOlhFVRWzDxNf6CRGECLOSRhHQllKasPC8YNSp5cU09kituOGFIwEAHzpqDE5urUduWEI+J3mSWs+EURFuYl7gbZ1uJ8lVFFnvnBNlTrG8BzTFV5EVIxZXVATDpixLCqS8jJaUgI8fMQYfmj4af9nVhUdeO4AXOmtwzb+OwAktE/HF4/bgtNYDgCSAEzJWgkuSCekEF4CD5BII1Gd6b0pBdFnE1j6NZ1wfLDJL/tNkFoCRcMySyVjIAEKNps7u3Kqps/oTSq4di+5p52PfmHPRV3MkclkJsqRAHsgxyazXdRXumpKNLNvavaEaAx2ypGjXgqwgL6Tw8vjPYEzLmTj6pRvAS/1AphHo3QeuYZRBbsnABYm5NY6hIBuWZGsiMfM9MymULYmUG7yyI3shzhmQWbAPGARfrrSDRXHHsmXLcMMNN+Cll17C/PnzUV9fb/n+/PPPr1DLRg7qjU4XSxk1p4VOHuUaYxsgKzJtRWZ0d+1TKk9s2Sq1FmOrTRvXoBHbfbbal3u6hzCUl5EWeEy3KbZxBjkvDRmzmzqQlcIR24JIFa1aHr4xtoBGzElJmbDIFmQHN99HIbbkuNenxdDbLjfIvpJ7kxDbdw+xiW2nTmxb6tIwh/LM/TvUn0VrfTq0s3UkoKqIrR+8nHhhzq3DOiqYsY9mXG3GyIB8/fNz0J/ncUxrHT48aRRyQ3mD1Ep5kv3YSmi9SEfUDjUhrcZnGQY5sX5HTVM4S0wubVMmsbiGkitpSq6WTVmzVqcFHhdMGoVzJo/CX3Z345HtB7CtqwbL/3kkTmubhBuO343j6jsBOQcuP6jZaalkU4TQOkgunXSKEEebZZmVDdneufciv15EwFHShya0gpXcOgltgLI8QgYQa7XasR3vgHtrE7hDbxnrHRh/CvZN+hjam0+DJHEame0dtpBZ7b15HfmVi2KptXTyJccxsNmA3ZKOybKCfOYYdM/7BY5IvYqxG1cBQ11Q550Prr7JILcS9IRSYtpIMGUcM8X/vPGc9ofUtaXbpiiqZ3Zky3pC2IjDEOMkkVT14dOf/jQA4I477nB8x3EcZFYW9gShQDpqfpbfwIqtX7mfIDG2PrVNY1fuxyUrslbux4zJA7LY2TlgmeeNA30AgCPG1hvZkqtBsSXnReA51KYEDOVlDGRljG4Ivg47IY2akbdQxbZvOG9rR0GrKzmcibuiPwcLSeBFD0XYywYFAR1jG37b5YWRPIootvog1M5Dg0wL/v5ebQBrfHON8R05b/94owOX3bMJF86bhG9fMrf0jY8ZqoLYRg0DY5X5cVV4qRI/gDW2Vvts2pAJweXENP54cBo2djQgLXC46thxkPPWJFFupJalzto740HjbLX2E7Jqi0nU121Vc+1KrtOmTKYriplsihdMEqTq5Iood6mUgAumtGDZtFb8aWcnfv9yO/6xvwZP7T8SF81ow8qZuzEh3QXIWUCVwXGipuISpZZScUmCKJaCC8CwLNN74H5gBLiVAfIs7WMntjZVlry3k1l6ui+hbX8T3OtPgutrBwCoQgY9R34UO8d9DH2ZaVrSsUEtrogQWllSLMqshdjariM3azub4NLHxRz4mNv/U6jg8fKoy4zBEV4wBzxE0TweqpLGW6mTMEpsQlrpAF54BOqCi8Cl6sArMnhS7kmWLcdNU2UFSyIpi10ZJPba+avkKNnjYkeudExshPDXUIiu2JagMVWEMM/YBBHhwTOVSIotm+SZ2yMxtl7ElhpIDhBja7e0lh2uyaNUY9rE5gw0YmtVeF5v18JZjh7faEzjqiLGlvQ3NGIylJdDJ5Cyq4XhEheZMxc6sNE7rJcw1BMdxjnWE3C2rz+bd5nTH4Uk8Cq03I8ZYyuE3na5YU8eNaVFI7Z9WYlZy7ZdJ7ZtTRlH+a7v6XkNHt6yJyG21QQ3eT1Ilk+e42CvXWtdh1Ots5f74cU0ckI9bnt1GgDgvBmj0SLwyA1LRqIoP1IbVFUzv7OSVut31uW0JFLetmSNBCgwqaFCfe+0KAMKJJjWVNIm8pIlBam0gItnjMEHpo3GL1/bj7/tOITfvN2AP+48FiuOO4RrjtyLtDygJUbiBXCKDE5XcE2Ca8bXqopkxuC62I/tRNcOgUWOvUit4KHWuqizZJprMihe1P6LtZpCu/0JcL37tWOYacahoy7D7raPYRBNkHIy5ME8ZFmLnbVajtnXkav9mEVifTpp5uAGICkcThr4CRQVeLn5E8yBDgJVUTF9zz1I97yJfMNkpPp3Ay/9GeqCi8CLWQjkfAoCeMWMrWWptqWOpwbMzMiVJr3FAMdFJLaHn0spQZnB29QEGpE6ri6lbwwEiLGlE1Wx+7q2GNsCFbvCwd5nlVJsJzbXAOhlEFtNsT1mnCl1VkVWZLLL4NCQEXCwP3yGXodaGGJZa4xt9OOUlWSD3DXXptA9mI+9Ymu/LAgxj4JCFFtrEqvCsiID8Y6xtd+LtWkB4xozONCXxbuHBh3Edn8PIbY1ZjK48jQ19qhaYkvDK16E57nQNmTy37Qh29XaDLhUHX594GjsGUyhpUbEGeMb9bI+tP1Y9SS1buQjiBXZbR4zEZRCTTNJLq3isgmt9pkVd0vbk3nBjLlUSWkZPbGQLCmoSwu4ZmYbPnjkWPzkpb14YW8vbt82Br/f3Ypb5h/AwlEHgfwgIOcAOaspuKoEUPZkouJq+0NsyKZdmYCOybR/RxCkFFCQ7Mckoy8dN+sgs3QyKE4AUnVAqhbo2gfulT8YlmM5MwodR/+7RmjzKcjDCmQpZxxD2m5Mzp+ZTdt6/bAGR+wENow6Rc7/1tpLoaoq5vf/BKqqYlvTJ2CPxVYUBaIi4Mj9P8ERB36Et6b8JzpmfBwLnv83CP17gTc3QT3qPRBgxlIDAPI5KJZYWlO19TqfrOzIACxlfw43JIptNHz1q1/1/H716tVlasnIBSv+i8Ci2IYt91NAHVuaqLLUM/vPa1xjbFUqxnZCs9bx3ds9jLysIKXbjl/Z2wsAOKbNVGyrIisylUynTo+RDKvY2pX2cGphcRTbfooUNtaI6B7Mx16xJccpLfLISQp6h4qn2EYt9xPlHAzmzKzI2rbje9ztii0AzBhTjwN9WbzZ0Y85U0ZZ5rdYkfVpcR8wKRfKRmxvvfVWrFq1Ctdeey3Wrl1brs0GBitW0hEnSam1iliLH73ZBgA494jREFXtBjZJLCGytpq1LnZRehoNPzJiL/HBUnXJOlgEl21R5m1qrlXJtf+XJHIMzXhEouBOqBHx5UXT8FznIH747E7s6M7j0vVt+OiRzbjhhD1oTQ8AchrgBgFVBqQcOF4ylFvysmdKdqtnGxXepNYks+Q7R9Zj2m7MUUptqg7I5cC9/EdwO5/Tjk26EV3H/TveHnsJsmotpKw2IEIsx7RCaxBZ6vphEVrLdSQ7Sa75OWC8qHH+gS01lwAA5g/8FACwrekTVMy2dv0cfeB+zOy8D9vHX413xl+JtCzijdnfxLH/vAzc7hehjp0B1DeBF3PgpKzlvjLUeNmaNIo+F8SODEUN9PB2q2cbJDNyWHjF1pYr7raaiO0f//hHfOELX4CiKPjSl76Eq6++uvyN0PHwww9bPufzebz99tsQRRFHHnlkQmyLAC8SZVFsA98obJJnwj95FF3H1k9JBuIQY8tWbOkY29baFDIij6ykYF/3MKaOrkN/VsJ2XbGdR3WMTetiyVseGcYp4jjDSho21tMxIBGGVNHXZgGKPSHjdWkBKb2/FuPDDsBsX3NtCh192YIUW0fJpRB7T/8eh41zlmTFsKJXQ4wt6ZfQj7Wjxzfgmbc78caBfsf8xIo8obnGDHWK8w6WEWUhts8++yx+8IMfYPbs2QWvK0isGsuNXGi9RpPkanVs/9EzEe/0pVCXErB4bCPyAzmqVq1CWZAZMbURYiDdwLIg27fjRXAJaSUEl21Ptr/XFF0R0BNUmdtRyYNbVI3RMVlScFJzLdadfwJ+vm0ffr9tP379Zi3W7z4St7znIJa1HdTIoJyj/ssOgktIkF1ntpPcsBmTnaTWvC0c5XzsAyC0QmsntBCAd54F98pfwCl5qByP3mM+jnenfwqDapOe4VgyMk3bk0K5DYi4lomSgw2W2Oeh4RarbSe3LzZ8HORamHnwpzi+98d4ufVKvDl6OQR9lPRg4/EYP/NytLz2ALg3noY6/zzD8UCSglmOpyBrF1RIaE0OR0qD2I/diK6ZUC0+FmY6H0C45UrQGA9IkoSVK1fiiSeeQHNzM+bPn48LL7wQo0ePLm9DdGzZssUxrbe3F1dccQUuvPDCCrRo5IE3SJTzXrLUsQ3acXVRLw0EiLGllTw/Jdk+f0XgFmOrwlBseU7FtNF1eL29H28c6MPU0XV4YVc3VBWYNKoW45pqjOWMcxJjikVaxnNAvUFswxEsO6kKpdh6rCcM+nRS2JARzaRdMZfWyHEixNae/CoMnDG2wZelZw3rmhjMm30JotjG2nqv/6cV22P0uPg39MEpGsSKPL6pBtm83geM7+6VFSXv1vT39+MTn/gEfvjDH6KlpSXyesISU7fSQCS+FoClzA+BU6EVLdME3WL6h/0TAQCnTmwCLyuQJdN+rCWOsiq2gHcsJJnmFhPp9nLMa2zTSm7c4nhZ8b5stdmMFbbsp066JH3/JUmrrZrPycjnZOSyEnLDEoYGcpD6svjEUWNx+wePw5Gj69CV5fCZp8biiy8dh15xLFAzCqhpAdKNWsmYVB2QqtOSD6VrwYtpjRjp7wWSpZoXIIgZzSLOi/rgQybwiyxD1sHr51nQt2d/cWIanN42o61indb2mlFA3Rgglwf31L3gtz0CTsljaOJp2H7m7/HKlOvRPVyHoYEcskN57fjoJXwMKzt1LKW8bFw3Rsw29V77XrUOqFBxz/Zrwu0aY10/9vVtqbkEz9X+G04a+ClO7Ps5FEXB8T0/w+zeH+PFpsvxUuO/GedfyskYHszjjfFXQ0k3ges/CBzaq51P6n7ibUojK17ZC35lK+jHQNAETgWOgSXwwKZNm3D88cdj0qRJaGhowLJly/CXv/yl0s2yoKmpCTfffDO+8pWvVLopIwMeMbb0tNAxtoWU+7FUIfDYhI5Cs+IWDjfF1rQiQ1UxZ/IoAMDzO7u0/+9q/0+aZu97uZ+TuMBQsGAqbmGtyIXYYGkSVMj5J8S2sUY0k3ZFXlt5QO6J5lqthFTvUBEV28jJo8IdtUFd3Rd5DpkU71hf3KBS1zvBUXpcPEkAR6O9V6tX3dZUY5pUYn9llQclJ7af+cxncO6552LJkiW+82azWfT29lpeXqA7qmGzjrISRrnVMTVrkGp1a/NCHdbv1S64+aPrDesoiTcEGHGPAUgtDS/yGnQ+L4JLf2ch3gyrtOW9bJ1ut8gS4kuUR6JGSnkZuWGNxE0SBdx6xtG4bMFk8Bzwm+3AuX+Zii19YzWimKrTEy2R/3q8qpDRSCUV70z/JwMPvE6YwrwEj/Ua66faobUpbWY5zjTqba8H9/pT4P9yK7junVDqxmLv4u9g25z/iy5uKnJZCVJOOx7k+Jj2Y7djSsdpU4qt7LyevAZKaMIb5GW/NhVFxfMZjdzOH/wZLmv/MOb1/wRbGi7Di43/ZhBuMuAhywqGlDrsO+JKANBq9PIp/XhaB4xYoQBe8BroKtSdYUeQhHSVBsfzzOPp/wr34HzyySdx3nnnYeLEieA4Dr/73e8c89x1112YPn06ampqsGjRImzatMn4bu/evZg0aZLxedKkSdizZ0/k/S4Venp60NPTU+lmjAh4qYPRkkeRrMhuyaMMX57rKmiiwprL3vmufIyteyZolbJez9cJ7Gad0D6x/QAAYOF0K7H1UtHjAjrmkChuhSaPKmdGXgKidjbWpIzjHmflkMYoQmwLUGztToxQim0ByaMG9GulNi1URXIl04jiVGx3dQ1iKGcq0N2DOWOQZ0JzrZmgr9LjbzFBSa3IDz74IJ5//nk8++yzgeZfs2YNbr755lI2KTDsShInmOrSpp4x6M4CjWkBM+rTyA9JVuJhiXE0baTaZ29S60dkvUCWJRlt6fXbLcq0PZlYk41pVOytOZ/VpswL9hhcZ9wtWVZ1ZHBWkVJUfOTIsXjP5Gbc9sSb2NMzjEv/OgarT2nGv03aBU5Ia5ZkQIu95SQAOQCCYVMGZU+m7ceFWJEd78lnTtTe0zG0vM16nJfA/eMH4DrfBgD0H3spds/6P+gdyiCfk3VFVmbG0noNFJBjRs6Xn+U4iBU5CCzx2JSN/fnMJZg39EsIkCBDxAv1l+pJxfTBEZ6DLMmQJR75nIy94z+CiTt+AK63HWp/J7iUNpDAipHmBMFhRzYGlqARZhK3yvFOUSZsAimSGTkIwsTLlrumLScIgRKkOZcL18iBgQHMmTMHV111FS666CLH9w899BBWrlyJdevWYdGiRVi7di2WLl2K7du3Y9y4caHbV2p897vftXxWVRX79u3DT37yEyxbtqxCrRpZ4DzUQWvW0/LF2FqILdMibUXlia27YqtQ6bmIMvvCrh7s6hzE8zu7AQBnH99mWc5e9zKOoOt6msmjCouxDbO7xVJsCQFprBENchJ3XmtYkes0YttXxBjbMGfBYgcPeQ7Isa5Pi+YdEuMDT+5Furs8piGDMQ0ZHOzP4pV9PZg/rRWAqeBOGlWL2rRAPQESACUktrt27cK1116Lv/71r6ipqfFfAMCqVauwcuVK43Nvby+mTJnimC9oqZ8oyo1duaXtkpxOZNZ3aB20k8Y1ADIhJrR910pKgGCxjr7qrC3Tset8DIIbltxa2239Pii5BXjwiqrFwtIdCXIsBnKYVCPi/154Ar7zz3fwt9cP4itPp7D1mOm4Zd5eZHi9bIEiWUkuLwCKRnChauWAEJHcuiaNIrGz5D0htKRsDycAYkZTlVO1wL7t4P51Pzg5B6V2NA6cehv2NyxGbkhTqfM5XaGV6WzHJqk1k0SxSa2XSkufY+e5oz6H7JzxghlvS18r83O/MkitAAmz+3+hJ5Qi2ZLN8k+yqGBQqcfAjA+h4Y1fg2t/E+q0E8HxOU211Uv/qHr8OsmOrDKSSAHREzyNdERPHqUdS7s7JpPJIJPJOOZftmyZJ+G74447cM011+DKKzWVft26dXjkkUdw77334oYbbsDEiRMtCu2ePXuwcOHC0O0uFr797W9bPvM8j7Fjx2L58uVYtWpVhVo1smCqg97z2WuOuiKoYusZY0snj/KPsa188ij2PtMxtlBVHDW2AWMbM+joy+L8O58CAMyf1oLxTdY+mKmixxem4ZxOHhVSsbWV6Ylqgy1GjG1jjYiOvqxj3XEEHWMLoKhZkcP8fBdS7odcK3UZoaqygNvpzdwpo/D4q+3YsrPbILZvHNBLeI3XnKPm/sV4B8uIkhHbzZs348CBAzjppJOMabIs48knn8Sdd96JbDYLwaYwuHWmvOAXY+e7PM+xLciCldwaHUcxjee7NHvAcc21mtXWSBrF+IH0UGv9SK1fLKR1P5w/8naCS6tupB0scqsvrS/LG+RW31I05VYULORWGdZJnaoiJSm4/r1HYObYBqz75zv4zes8dg9Mx91ndKNROATIWY3Y5nU1jyi4vKwRXEUGBNEkudrOB+/o0/PZySxgVWgJoSVW6fo24MU/gn/hlwCA4SlnYM/CW9E5VA9pIId8XlNqiTWXlPHRiJ/sUGnJeWFlPA5Kau0W+Kggy9KZsxfkf4X3ZH+BZ2v+DVtqLsFJ2YewgMqWDChQZA6KnomYxFvvbV2KY/BroP0N4Ih5jgEjt3MVRn23k97DiQQXSmztA4g33ngjbrrpplDryuVy2Lx5s4UQ8jyPJUuWYOPGjQCAhQsXYtu2bdizZw+am5vx6KOPVjSW9e23367Ytg8XmBl4Wb9xETquRYixzVLb8svWDDgJUvnB3meLYqsq4HkO//7eGbj10dfQNaiRkasWz3CszeucxAV0llgSY1to8qiou1sMxbYhI1I1neN73AHzODUXwYqcs/VtQ5X7KSTGVlds69KCcdvE+bibiq31Hp83VSe2u7qNaW/oiu3RulW5GrKclxMlI7ZnnXUWXnrpJcu0K6+8EjNnzsSXvvQlB6ktJdyUW1acrfWz6FBvc1wNXuvWyPfU+oxTmWVkQvbKiEyWoREmK7J9GTeC66bessit/7Zo27JKEWdCgBkkV5It5FYQecjUj0Vf9zDOO2Ycjhlbjy//6TU8s0fCJ/86CvedBbSK3SbhlLI6sRVsBFcGQNlYdaLrC466BWi1FjAVWk7QiCxRa0kMcLoZ+McPwL/zNACgZ97nsPfYFejvzRkJoYhKSxRMQmqtKn90UuvlCnAjtX5kz6Ha69b0+blfYmHuQWzKfBzPpy8GD2Br7aXgOM7IlvzKqE+alnxFgarwkGUFnU3zoKQbwef6oA72ghPZhJaU/SklvEr+VCs4TrRk8w6+nPZ/165daGpqMqaHHWAEgIMHD0KWZYwfP94yffz48XjttdcAAKIo4vbbb8cZZ5wBRVFw/fXXVywjsh27d+8GAEyePLnCLRlZ4DzUEsXScS2WYutvzKOJCutZED8rMjvGVgWl2Oqt/uTJ0/CHrXvxyr5enD9nIj54otWGrK2mChQsynFuENuQMbbFUgsLUWx7qRhbrgoIFmAeJxJjW5AV2XEOIqrmIQcX+hgDCnE+6rT1ngYp07Xl3S6oqgqO4wzFliSXMohtrPewfCgZsW1sbMQJJ5xgmVZfX4/Ro0c7ppcSQQVdL7WDLkvyWl8jcgqHhpSA1hSPnJ4tLki2Web0IpBa1vKO+rYBya35veqodUuUWlPZ1d/L5nt6eW2aeVxV3ZbMKapFvQU0stHfM4xjW+px10dPxOd/9zJeas/jkkeb8fMP1WEs367NSMoBIWvlzoJA2ZQJMXLGazrAIrOASWjtKq2Q0ZJEpUeB++tt4Pa/BFXIoPv0b2HfmHMw0JuFlJNtSaE0Imsltc7rxWlfLy6pDape0rG1BCcNP4RF0kN4Jn0ptmQ+ZpmXLgXEcRxebbnMsFPLkgJB5CGpAobGn4z6XX8FutuB8TMADOmHXAAkos5K2v2mRI+ZZoGuZZvAiaamJguxLSXOP/98nH/++WXZlh8URcEtt9yC22+/Hf392ih4Y2MjvvCFL+DLX/5yoIG+BN7w6sxbyv0EJg9BY2yDWZHZhNs6sfLElr3PqqpCVTltl/V5GjIi/nTtaRjOy8iIPDN0i0yJM8EibaOTRxVaxzZMx79odWyHq4tgASbJIjG2xbQih1JsIz0fNAxQxNa83kOtoqxgJY8CgLlTRyEt8tjbM4wdB/pxxNgGvLxXCx06lii2VZDlvJwoSx3bOID0T/zqNtrrQZrlR7TkQa8OaMkZpjVlAJUQWqsl1J4AyPzOSUhoFEpq7euKQm6Z01zIrXMdJtO01kOlpkNXakVeI7i6xTnPaz9Y/T3DmNBSi7suOgGf//0reLMri6v+nMEvPjwDDfwuzY5MbMKKDEf8rSKZJBew2ozdYCezZDlCaOn6tDWjoNaOB/foTeD2vwQl3YQDS+9DV8Mc9HcNadZbD/sxnSiKHJ8oMbVhrMdR7bhkuYXyr3Gy9BD+JV6C59MfAxjXgUFu+38CngNeHnWZvp+aHTifk9FdPwv1+Cu4/k6oE46yZhznBdhbbo+Z1hrlHDnmOQ7gVRRy+8SpJm0UkKzI4Zcr3k6PGTMGgiCgvb3dMr29vR1tbU7VKA748pe/jHvuuQe33norFi9eDAB46qmncNNNN2F4eBhf//rXK9zC6odpv3R+Z1VsVUOR8IRLIiUDAWJs/bIi2yfGO8aW+kChJuX+PKiGmEMCLXmUti9hy/04iG0FFFs6xrYaslED5jVVDCuy8xwE33f6+RD2HPQz6gfH+bjT5a1o1KVFLD5yNJ7Y3oG/vNKOk4+Q0D2YR1ONiOMnaoPR1bB/5URZie2GDRtKvo0g+aJ4nvOdj1l+hBOxZ0iz6I2rSZmWS0JMXGIAgqi1fqSWRU78kmMFtRZHXc7NkkzW4RZ3K/CCqWAC4DhN2eN5Dshp5HZsSw2+e+EJ+K9fv4iXD+Txpb+ncOeZbeCGOjRyC2jJowhU2arcQmSSIAdo+yat0OoDGVqiKFFLEFXTAjUzGnhqHfi9W6CmG3Hggz9DT/0sDPYMW5JDKYrWSWMrtc7sx/QxNd4zsh+zzoEX/L93t7ADwHukX+NkWSO1z6UuBhiDHCTu+oW6j4PjOJzU9xNwHIfXxiwHAOMYDNQdra20vwNwKe9DEkhVCtUalxs9xrZ4HfZ0Oo358+dj/fr1uOCCCwBo19f69euxYsWKom2nmHjggQfwox/9yKIgz549G5MmTcKnP/3phNgWAaZR1j+YNS+rSIt+xJZcs9FjbP2syLFVbBkxtmqALNB2VIMllq3Yho2xtTmZwthgqfeBB10YIKSwqSZlHPi4D6KayaPSAIDhvIKcpCAthu9POhTbEMsWUu6HDILU00p5fC93S3krO5bMGo8ntnfg91v3GCWvTjtmLEQ9wWc17F85cdgotoWC11XCfcMasW1Ji5GsjWFVWa9ONssy6rs+GwENsv0oqq1Xm2hLMg9A5VUj0RAAyJKCwf48xjSlcceFx+OaX7yAR18fxINTG/Hxo8cBgwd08poFkNYbCpPUmnmu/EErtOSzndQKaaB2DNRMC9S3/gVx+6NQeRFdS3+AvsZZGOjJGqSW2I9V1VkPlhxP1jXAsiA75/FR/O01+1yuHb/t0ySXh4KNwiXYnLqYuS47XmzQyK0IWn3WXn0GsT0EqISMidDKOLEtx242ZJ7TTjOr5I+2D9VJUKOCtzlNgi8XsrPQ348dO3YYn99++21s3boVra2tmDp1KlauXInly5djwYIFWLhwIdauXYuBgQEjS3Lc0NnZiZkzZzqmz5w5E52dnRVo0ciDV6fLfovm5CCd54CKrUcXmk5Ew7RI2ybFJnkUQ7FVIhT7KDTpZjlAn4OoyaMKGZCwq185WUFGDP+MJTbeptpUVWSjBsy+Q1ONSRH6hvMY3RA+90JBtYQt6wl31IykXTViVcSgmgM5zu/OPXECbv3Ta3i9vd8o9XPWTLN8Hlcl11W5cFgFEPk9zJnZkWklhBewd0gjUi0Z0aq8MTLVeiGIWhs2JpL9nZ8S7GJpDUjAWQojvQ671dZMKkQnULK+ZElBLithsD+PI1vq8JnTtKyO//v0ILrVUUD9BC2Bk1hnWoTFjC3Rk2CW5XF72ecTMlQsrR5Pm6oF6sZArRkNReYhPPUdAMDAwi+iZ/QpGOjNafVp87JjP1hqLX3cwqi1YS3IzAzdPnHgrPmeET+GZ8WPMrflJO3a9Jca/w0vNH7SmE/VLdlD4lgoqXpwqgJkBy028aBqI89zkcp4jXTQ2aXDvsLgueeew7x58zBv3jwAwMqVKzFv3jysXr0aAHDJJZfgW9/6FlavXo25c+di69ateOyxxxwJpeKCOXPm4M4773RMv/POOzFnzpySb/+uu+7C9OnTUVNTg0WLFmHTpk2u895///3gOM7yspfSU1UVq1evxoQJE1BbW4slS5bgjTfeKPVueMIzK7JdGQ0Sy2jYcl23aJ2PAbq0UHXE2LKTRykqoim2xvLx7QqTnxee46jkUeHcPMVKXMRaV1D0GMS2irIi6/9FgTfU8t6ICaSyBdjBC4lzJoMgjRnRrNscc6UccMbYAsCoujQ+c+ZRxufZk5vxodkTjc98FTgwyolEsQ0ITreoHhzWDllzKtyYQFj1KMr8bh1+Rw3bkKqtuZxi1DYtpD12qIpqqLakBBAht/l8Ch+dMwH/b9t+vHVoEPdslbFyYR24zChAOQiogvYiTmejATCTSXmBjq81bMiCqdSmG4F0M9RUI/gtD4DLDUAaNwddx1+DfFYxCK1Kv1ST0JL9MwlqNLU2DCqhVJrKvgra1aztj3aMFRWQM6PB5wcAKQ8IKS221q2WcILAKJcV+fTTT/eN41mxYkVsrcd2fPOb38S5556Lxx9/HKeccgoAYOPGjdi1axf+9Kc/lXTbDz30EFauXIl169Zh0aJFWLt2LZYuXYrt27dj3LhxzGWampqwfft247O9E/TNb34T3/3ud/HAAw9gxowZ+MpXvoKlS5filVdeCVxPvtgwOpUsJ7LtcyACabhyC4ix9Sv34zF/ReASV6yCtiIHf+5XR1ZkPeaQg8WKHMYSXKwYW21d0Q4WIYTNtSlTW4/xcQdoW6ym2vZnpcgJpKIOLth/Z+wE2Q99lBXZMxwiJqDLW7Hwn+87AhOaa7B1VzeuOe0Im7Ml/vdzOVFVim2pElSG6RAOSlojagTeYUW2JP+pwA9h9CRB7tl1g27Hj5y5JTWijyFL6ZQk7f3Vp04DAPz+1X4oQi0g1mqkkyirNCkFTPWWvGjQ03nRndQKGSBVB1XIQEUa/Itardq++ddCkjnksjJTefY7buzj57+c27Qg11ohJaS82hFsOVOhlzJa8jVIWc91BLHVJsptgkLx/ve/H6+//jouvPBCdHd3o7u7GxdddBG2b9+O0047raTbvuOOO3DNNdfgyiuvxKxZs7Bu3TrU1dXh3nvvdV2G4zi0tbUZL1oJV1UVa9euxf/8z//gwx/+MGbPno0f//jH2Lt3L373u9+VdF+84GWUtXdyAxHIIsTY5i2KLcuKHFPF1rbPalTFtgoUHjrmsD6j/R5IimpR2/3gtMGG2L7tc1TF1rAi16QoW358jztAkSxwaKwprOSPMzN10DY41xPmuDGzUcf4sBtjVy7PNY7j8OG5k3Djecdj4qhay3emxT3GO1hGJIotA5zgTGoDAOBFDMsasRUNa4M3IYlGKOJ1cbqpr0EyL9PL2zMkC/rxVRQVnKJCEDiDJHK6gpsblpBO8ThlWgtqUzx29+TxepeImY114JSclhFZkTUySueosjRAcpJbOmmUndSSrMupOkCshyrWAYfeBJfrh1LTgsHJZ0Aa1hRlRVeYARgk3arUusS52mzI9mNIjm8xUMxs227rD5psTBKbtQ/5YYAbVdJ2HU7gBMF4boVbrgq8WSXEzp07MWXKFGaSqJ07d2Lq1Kkl2W4ul8PmzZuxatUqYxrP81iyZAk2btzoulx/fz+mTZsGRVFw0kkn4Rvf+AaOP/54AFq88/79+7FkyRJj/ubmZixatAgbN27EpZde6lhfNptFNmsOMvX29hZj9yzwtMk5Oq9BfvtID9CN2PrH2NIEmqkkR2pXKeEWY6sWFGNb6b3yAumkc9AywxIMZCXPjM80crbY6FAZeW0XRpTBjeG8bBDx5rqUMS4Rsy6eA3R1qaZaYkUujmIb9BzY51NVQFZUiAHdhnS5H7KmOBNb03offtlqslqXA1Wl2FYShOQOSdoFlI5g5R2pKBYRtz/IjJhbRUVG4DFjTD0AYFevDPApgE9b69By+o+fF4m1f2Ypg2R5IQ2VKLsdrwMApAnzIascFMUkskSNpPehUoMTcRsUsUMS6rQ3MjtWKrEhR0O5YmxHGmbMmIGOjg7H9EOHDmHGjBkl2+7Bgwchy7Ij9nj8+PHYv38/c5ljjz0W9957L37/+9/jpz/9KRRFwamnnordu3cDgLFcmHWuWbMGzc3NxmvKlCmF7poDnEdmk0ixrC6lb6gtWudjwC8rciSLdCnhss+RY2zDu5fLDsUgVxwEnkOtTmbD1LK1OwDC1VC1IoxSTEDIIMcBDWmxapQ1I5ERz2nZnBG9lm1UOzirKxNmgIlOHlUNx93PiuyFxLxmRUJsXcDZyZAOMgAY5cCVWjkLA7fSRHEAbU8mMasA0KLXVDs0SB1H2n7sBcNyzDivNBGmrMwcLwIcDxUCOL0urppqgKpYVdlyoRLXT9RtuhFschwjPb0TuILUsQ3/Orx/Atzi9fr7+ysWk+qGU045BZdffjnmzp2L97///fjtb3+LsWPH4gc/+EHkda5atQo9PT3Ga9euXUVssQYvxTZSgh6X0jcGAsTY0p3tIBbpKKSmqKAlNHoyYCq2IVhbNdRTte+ymUAquCXWnnAoDLEpRvIoiw2Z5zxrOscJpi1Wq78LRLciO2NsA7aBca7CxLrT5X7IsyLuxx2IlrGcM/avCnawDEisyC5QFQlGKRkKaR7IyUAUXsjzfKzIbVzB2YafSMfz0IBWFmZMvVkiBoBmRQ4CRWITWxeoVB1cVdCuBS5rtepxPAdUruxq1YHzVVsSRAHHRUweZXc3HCZYuXIlAO3Z8pWvfAV1dXXGd7Is45lnnsHcuXNLtv0xY8ZAEAS0t7dbpre3t6OtrS3QOlKpFObNm2eUXyLLtbe3Y8KECZZ1uu1LJpNBJhO+hEcYeCUqYpX78YXfMyRkHVt2jK31c3wUW2cd2yAKtRPx7+gTYkO6Aw0ZAQf7w5X8KSR5VDHirHuGtLYSO69XhvA4wTz2HJp0QSGqFdk+KBTciuycFuYc9FNZkTu4bKhtVwJEDIgy5l8NDoxyIuldBgSppZkWtCtHivMvQgBEyYpcatiVE57nwPEcOA7IyjLe7RwEAExpFgFVAQdFy3xMoOo/eCqDaRKSqkjme2M5an5CkhVJe68q4CADY48BAIjtz4PjFAgC5yDgrH0oJoLEscZlm26JnThyjmJsCapGcLrDIMrrcMSWLVuwZcsWqKqKl156yfi8ZcsWvPbaa5gzZw7uv//+km0/nU5j/vz5WL9+vTFNURSsX7/eyM7sB1mW8dJLLxkkdsaMGWhra7Oss7e3F88880zgdZYCXomKIpX78Y2x9X8GZy1WZOf3sSv3Y6aCdkyOFmNLlojvc9iwIuv7RxTb/hDE1j5QEqbbRuYV9YMVJTM2IYPEzlsNSYwAa7xnsa3IgRXbAoitqqrGAEh9RqwKpdy4w6MotlWQDK6cODx7NT5QZdlV/Ujr/XxJVX1/QLXO/chXaYuZndZOFgWRh8BzeObdbgzlFUxsSuOoFg7I5qFKWS15lCo7VVuaoLJA1FuFKgmkyIAg6kRXAOQsOCUPVclDHXMs1HQD+OFu1O3fiGzrycbDkuOdJJfnOcgVeIqaSbriB57nIMgD2gcxxZxHDaq+J0hQAJ544gkAwJVXXonvfOc7aGpqKnsbVq5cieXLl2PBggVYuHAh1q5di4GBAVx55ZUAgMsvvxyTJk3CmjVrAABf/epXcfLJJ+Ooo45Cd3c3/vd//xfvvvsurr76agBah+i6667DLbfcgqOPPtoo9zNx4kRccMEFZd8/gjCJigLF0Pkqtrx1PuZ2vBVbx/xShZ+prjG2dLmf4KurimQzRpyn9rE+TUr+BP+NcGbkDWFF1ufNiDyknFyQFblZVz3N0lfx/I0mUCgvMlGbI1uR9XMgGH2igIotNR/PaaQ06DnISorxLGmoESMM/ZQfRlxzFMUWwZ+xhwMSYusBRydbkVCf0upyZhUV4EtTciQqOSlGW1jrcFsvS83jBc4xnec58AKv/efN/5bvqW2QWBSO55DOCBBEHr9+YR8A4JxjG8Arg+DkYUAapJRV8l92klqWgssJNnKrT1clLbMycoA0BMhD4OQMODEPZdaHIWz9GRpfvg/9Z5yKdI2IXFaCqnBQCbnVM0DLigqO58ADTIKr1QNmZ0bmBVIPltczDjuvhzDXSKkt8H6qLv29mOvU3qTrTIU9QeFglbUKutxhjPvuu69i277kkkvQ0dGB1atXY//+/Zg7dy4ee+wxI/nTzp07LfdOV1cXrrnmGuzfvx8tLS2YP38+/vnPf2LWrFnGPNdffz0GBgbwH//xH+ju7sZ73/tePPbYYxWNFzZrdwZQbANZkX1ibAPEnPplRSbtSos8cpJSecXWLcaWVmxDWJGrIdmMU7ElyaNCKLY6EeI4/VhFUGxrUgIGcjKyUvhBVzrGFqDvhdCrKivoUkuk3E+hWZEzIo/BnBz4HNDzpUUew/ng9yF9jdSnRWNwJM5WZL9yP16ohv0rJ6qK2CpKaWrZqoq7QmtHS1pT8/rzMri09fBpBEI2ldpK/xgGRFC7qUbG3Mhv+BPD25ROQnCJAiqIPASBw7b9fXh2ZzdEnsPyeQ3g5D4g3w/kB3XF1kZqvQgtAfmOPkW8YJJcBdp6cn3g+DS41DDkEz8K/oVfIPPO46jreBa5UfMhiLxGMGWt/SrPQbapDhrBJUSWTUoLUVp5wf9ai0JuWQMU/m1xDmwApqotDh/UJqRqYD34VigBlNu4KtMVAR8wiRprucMYAwMDuPXWW7F+/XocOHDAcY+89dZbJd3+ihUrsGLFCuZ3GzZssHz+9re/jW9/+9ue6+M4Dl/96lfx1a9+tVhNLBhe9ktHgp6ixNgGUGz9siLrkzI6sY1P8igPxTaEXlMNyWZIJ72g5FH6b3Fa4LVzGCEtcm1aAAaA4XyUGFurYutZ+iomoMkRz9FZkaMNRJN7pyYlYDAnBz4FdDsyooDhfPD7kNjVa1MCBJ4zFc34HnZjfwtSbGO8f+VEVRHbSkLViVNrRksq1Rfyhy4scYkyv/t3NoJShvjaMOqxFkdrElqe00htKiWAEzjcseFNAMBHZ4/CpPocuOwgkOvTSazsTWq9CBIvaPMR9Raw1sKV9QRVQgacWAeuaTyUEy+G8OJDaHn6fzB47u8hCDxkXjHazvEcOIVzVWtZBJOeVgx1tRJ25CCqvoA8hJyefCuVAeQhKIrscEYkduQI4PiIiu3hnWbh6quvxt///ndcdtllmDBhQklj5A9bhIixDWY1DBpjG0yxZZch0v7XpAT0DUsxUGzJ9p1ZkQ+Hcj+AVo8UiJY8KiNqxDbMzyKxwpIyQ1EUW0JszeRR8Scg9DHiUHgd2+G8dtzIcQxK6ul21KR49AwFtyIT27Q9aVecBxTs13sYmDHzCYCE2FrAUm5VuuOtyBid1m6Y/rzssNYqsqyTCv9tEbsp4E5mghKUQizIdkswa3rQbdsJs3FsDKXXPFYGiWW8BJGHIPKorU/hwa178UbHAEbVClh5cgp8tgsYOgCQ+Fo5ayW19nhbL9VW1kkt9Dhb4xTI0DJia5n0MNwFTkiD5wQo77kK/Jt/Q6rrdYzdciuyc1dDljVLsaqoUHXVVlX97cjk+JFzbHnvYke2kmB6fqtqy1aFtfPgR5yZFnPLeWYr99ZriTfmI+e5NrsHgJ5hmheAfPiOAqltnMAGt1JWvssd3oMIjz76KB555BEsXry40k0ZsfBK3GKfFMyKrP93Jbbeiq2iqJZYXrZiayU1wxGeVcUFW7FVLTG2IRTbKujok5aZWZHDx3oSha82LaB3WApl1STXa12aXAPhBze6BjUyOKpOq6pQDUm73BXb8MRWVVXjuNXqxzHwnlMzmvdhsHNA2kps1NUwoECuiUKyIsf5fi4nDqvh+mKc9PE1GtnpDGGHoRHWsutHWv2/L+wUk/XbyYzbet2nO5MrAWayKIviyXOorU9j+6F+/GjjuwCA/zljDEaLg0Cux7Qge5Falai4kvvLMp/+X85q38k5bZqsE+jhbvD5HvAiIC39OgCg/uUHMKr9CWRqUxBE3roPnEncyf7RxJ4m/OWG1zVRqszLHMehfnin9qFhNADFosy6qbRu00mnw02kOOzIL7EiR3kdxmhpaUFra2ulmzGi4aWfRiqp4qJeOrbo8nuftw3sMdul/69Jac/DyluR2eV+VJVqf6gY2/gnmzGsyPpnYuftCUGwsg61MPz2awoY3OjWiW2LTmw5j0GeuMCi2PJm2wlJDwPaGUEGCIIOLtD99ZqQqnkvUWz1GrzVoGjaY8rDIf7EvZw4rIhtIVB0y+uUOo3YHhqWLMQFcLf4BiEL3mSDYxLDKKS2mDZkN5JrTw5ln84Zy+kxtRyl1go80hkReaj42l/egKIC5x/fjAuOUcFlu4DhLieppd/bCS1gTqNfgHMei63ZRm7zg1AHD4LL9QBtsyCdtBwAMPapL6JB2oNUSoBgJMgyX7Qy7XUc7WonwFLAncebpaSyvnNuk2e+3NrntR63+e3Hom7oHW2GepNIqIpkkNc4WJAPO0J8mONrX/saVq9ejcHBwUo3ZcTCK7GJ3TySC1Qgnq1eGvBRbO12xiCKbVZSKpuYxSPGVjEzHwZeXTXUUzXzZWmNba4LT2yHqfhOIByxIT8FtQUott2DWjhTS501eVSclTW6bRyAlnqt7UN5GUO5cL/R9DEzzkHQGFvqPTkHQQeY+oZtiq1B/OJ73M2EXeGXrYbY7XJixFmRFZV9YdCJpxR9JtbPIt3JVhVZSwZlqIASJtf0AwA6hvIWNZO2IGudfS1Q0ysJDm1HJst52UQLzXrMsgqz1m0QK5tay1qOXrdfNmTAtKXSyiaxHospAam0gNqGFL66/g3s78ti6qgUvnoaD35oPzDQbpJaOWdVaQkZBaz2Y9fjT5X5MSzJJEuy/j2BKpjrVWUIfArye5ZD2fM8+PaXMPmJa6Cc82vIslnCRlFUcAoHngdUnoNC9t0SxKtfI7IZX0syJfvF3RZiSQ4Dx4AKw4ZMn1/HtaMPZAgijwad2Kp1zQAjthbQiK75vnxEN9ZlL4IgyYocCbfffjvefPNNjB8/HtOnT0cqZS1D9fzzz1eoZSMHXolN7JbMQHVsXdRLc4PeMbZOYsvYBBVjaywnK8iIFbpfXBJmqShQsY1xP5h00snpLESxNUlVsB2m5yvEjt6lE1tCyqvhuNPgOQ51aQEpgUNeVtE1mENtujbw8uT485wW5wwEt2HT56BGDHcODMXWlrQrzsfdniwtDIy43BjvXzkx4oitH1TFP1+KosgQBHusrZZ5d0pGq8N5aDgPGSy10kpmWTGUpS6/QtpR7OWCZEN2U2vpeVmxtYJA4mrTuH/zbjz1VicyIofvLGtCM9cFtT8AqWUljApKjkiTFcAguEaNXFtnZnA/hDpAPudr4H77KYjdOzDxH5/F4MnroCg8VEWFImrnXJYUSxkgjcqaGZIBQhajl/7x3TX9vEVdzmyLtx2dDJywSC7Hc6jv2abN2DjWOC+EvPplQVZdiDCgqxbVTkwLRZIVORIqWd/1cIFX/Jf9kVSUcj8+iq2jVq5P8iiC4XwFiS3Y+6yoMBXbMDG2xvLx7Qmbe6y1tikCsSWKbW1YtZAV31lA8ihi562Gsiz0NcFzmvjQUpfGgb4sOgdymDgqOLElim1NSghdO9mePAqIotjqFKcKFE0zpjx68qg47185cdgRWzcEKfmjKjLG1w6hIaWiP8/hQDaPMZa4SRWKzH74uSaICqnaBkEQC7KbWus1jV7ObsEOUrvWHnNK4lCJYpvOiNjwbid+/ryWZOi2c8ZhzqhDUFlKrUE6bVZiwElmWfVSOZFNemmCaxFXZQB6luRsnzZr/SRIH7oD4q//HTV7/oFpW1fjrRO/BlVRIcuKJZEUUW3ppzWt0LKm2a+FqImk6HMSvPYtm9QGXY5OHMXxHNIYQKpHy26NhhZAyZruCNs9o8pyoPjbBBQ4UXuFXu7wPrY33nhjpZsw4uGVuMVR7ieUYuv2TPKWZwJZkfVuZlrkjRqoWnxfyjFvWeAaY6s65wkArgpibMl5IT9FYRVbSVaMpI1m4qKAaiH13rDBhrQiq6rqjLFFNRx38z253FrrTWIbBmQwoCYlhC5KRSdTMmJsgyq2QyTG1mZFDrjtSoD0zaJkRa6G/SsnRjyxVVXoJCCajVdVZEtHm1MlHDsqh80dGewbymNcQw2T1BXCTaOSW1elNKQF2bps8Nq1rMRI9oRJZn1ajcym0gLElIBMbQrvDmZxx5Na3cjPntyE86d2A727gPyQSWrlrFOltRNamsgGsSIDgCyZZJcXNDJLLMqqfpsogiU5FSfnwDfNgHz21yD86Xo0vvkbTM80Y+fM6y0EUlFUCCIPSIpBcFmWZJrksjIk24+1H7nVdt9uYTbPI6uWrh/saq1xbgUO9kEPWpEfNfgaOKhQ61oBMQ0MDzpU2FISWJU+HyNxVJPnIyq2SZoFANi8eTNeffVVAMDxxx+PefPmVbhFIwdeakKk5FFBy/24EVvbQJqXkkwslMN5JTSxKSpU9j6rKqCo0WNs45xTwL7LhNgGzc47TA1ghE0eRV8TUcv99GUlSPoGR5EY26o47lSMLUVsAdNaHRTEOlwj8qFVRTPmlDNszFEV22pQNA2HQpGzIhfCf6oVI57YeoE8XIgYRau2qixD5bWatQSqopGZmU1D2NyRwe6BHOY2abYMoxMvcHo8r05UZH87Mpu4hCO3QUltsHV5Z0L2U2sd63Ep70MT3F5Vweq/vA5JUfHBY+pw7bxhoH+PO6mV9VI8iuwktAHqonK8YJ2PF6jlYSW4RhJOEpObM5blBvYAE46GvGQ1xL/eiOZX7sXkzCi8NenfjVUrimpYkkn5HwXmeol9nViSAVOZNd7bLMnW48wmt9pusdVb+vx4IWzmZjvh5XSbeXPXC9oMLZMA1YxfB6w240SdjYgkxjYSDhw4gEsvvRQbNmzAqFGjAADd3d0444wz8OCDD2Ls2LGVbeAIgJea4KhjGyR5lJ9iaxBbt+RR1m0wt2iohRxqUoJGbCNYUYsGl31WVEqDDNFpr6asyKStRH3ry0qBOuu0upfRrayRrMgRk0f16GptTYo3FMdqy4pMjn2LTmxDK7YMK3LQi84Y2ACMEICgxJbU3CX29WqIQbU7FMLAayxPUVXwkTItVy+qfri+GCMwfp1p0vFWdRI1s0mLs909kDNImhsCWzgZBNQrU22QedzWab73VmvZ2zPJKr1+u1pLfza/dyaMEkQeUorHfz+2Hd1DeZzQVov/PV0BP7BHL+uTtdqQ5axJcCWdYKqS9tLPj2p7seCYh37Z1mdRh+WcWUM3Pwhk+8AN7AE3fT6k998AAGjZcgcm7/+VhbjT702Cbz0+7ufJmiWZOcDgYS3nBT40QSXLWdvE3r7DESDwBqkl53xU5zMAALV1qiVxVJB7Lyjso+BxHhVPEA989rOfRV9fH15++WV0dnais7MT27ZtQ29vLz73uc9VunkjAmbiFpblV0NaV2SKGmPrljxKJp1tk+zY20arJ0QtipIVt/hgKLZR6thSy8cVboqtqgarZUsU27TAQyR5JgooNRM2eRRRN0fVmuIIH39+ZVVs9f+tpORPaGKrHbNMSgitmiqWwSVyDwY7B30u5X5irdgaRD5KjK3X4GEBjapSHNaKLQsG0SHKrV1VUiUcW9cDYBJ292fN+qQCD15RwfPay54Mx6K+uSSRYim32rJRSEk0Uuun1rLeO8vVWGu20jVeBUGzH5OY2lR9Gl95fDt2dQ9hUpOIHy3jUDv4lqbUSoMmiTRqzFK2Y0I+YSVAhap+xpHhoVmUFVFXdIk1WQaEtBnfK+fA5QeBY94LeegaCJt+iPHP3QT11DrsaT3Xsm5VVQGRhywpuj0ZcLMks+JtvZJJ2ZVbAA71Vjt03h00Fgl2JbVUoih7QjCiymf4LGoObtVWNKoNkIkN2do5IZ+VgKQ3AQUuYvKow1yxfeyxx/D444/juOOOM6bNmjULd911F84+++wKtmzkwCvGljyeMiKPnKSEq2PrG2PrXe4nIwoGWVVVqwWQjncLqxaVBJ6Krff+smBm541vr9eo66m3NS3yqE0JGMrL6BnKG5mG3UAU24zIR6wNqqEuHZXYaqrhKKqd1XDc6aY5FNuoVuQUD4SMAzXm4zRiDERQbGusFvD4HnXaoRB+Wa/yXXEm86VCVRJbVVWZAdaqoho1UoHCveV0xlZe/w9FxrEN/eAAdA5L6JcVpBmqrUlkZR87aDByGwZ+pNZ1uSIljKKXoy3ItHoppgRk6lK4Y+PbeGlfH5oyPO45L4Nxyi5vUkvbjl2Uv2IRIgvBVRjvhbTWPjJ//y6os8+HnO2H8MIvMP6fX4J6Ko9dTUuNh4sW66n4lgBixduGJbf0sjTC24v9rguK3FLrJup8S99WcEoeal0LkKkDBvpMtVzWLMn2c+aaAflwHH4MAl7UXlGWO4yhKIqjxA8ApFKpkmeuP1zgFf9FOmIZUUAfpCLF2HpnCc5JpmLbM2RZo30L4EBnZI2DFdmm2AImsY0SYxvjx6mRPIia1lybMoitHwgJyqQEI5VA0N8PVoxtWMWe1LCliS3ZlziTDUsdWxJjq+9D10DwjNQAVUdYjKDYKibRqzFcE+EUWxJja1rA43zc9TeFJI9ysSIfbqh6K3Kp4FZ+RFVkNPKDOHq0duje6ss67LZ2iy4NFkm0I0pcLFkuCKktZcIoNwsybT0mqu3PXtqHDTsOISVwWHduDY4RdwG5Piuppa3HRKXVP9tJLSsZUZCXfVmmTZmowxKVjZm0Lz+otXm4G1zfu8CCSyHPvgQcVLT984uYcOhRpFKCw5JM27PtSbbs9X8dCmlAWzJ9DsLCvpzbAAdr+2Q/BJHH6M4ntS/GHgHIWc+BB3uGZBbID0AIgcJ9eyEe+mE6geXuMHKcEPl1OOPMM8/Etddei7179xrT9uzZg89//vM466yzKtiykQMvm5xZL1Ynj0HIg+HZixZjSzrHdWlzUMfe+TOTR1GKbSySR/G2ybRiG57YBs0SXAnQ54AgTGbkYUqxDa0WMmJsww5sHOrXiO3ohowxzcu9EBdYsyIXFmNrqOYp3i+nmys4cKZiG/Ae7LPVsa0K6z2iK7ZegwZxHrwqFRJiq8M3FlPWrJOqosVZzm/RSr681Z/VSQrvUCutBIB3khOGzdecn01SWfCaNyipDZIwiiZVdguyndQSC7KdzKV0pXbDvh489ILWmfzmkjqcXPcmMNytEdv8oDWulsTSUoRWkXKW/6yXEvBlWcZtfZLeHlXS2kOTWhJvm+vTyG3PDuA9H4d8wkfAQcXk527ApJ6/IJ0RIeo2bEvsrRF3605urYMF7uTWEgPtQnD9SC5rHtY1S5NauxWZ7FcqxaG1YwMAQB07w5I4ijW4wIJ5Ps0ntNvIe5x/uEoKkhU59Ct+PwEXXnghWlpa8NGPfrTk27rzzjvR29uL6dOn48gjj8SRRx6JGTNmoLe3F9/73vdKvv3DAaZK5fyOdOZqw1gN/W5ynxhbUoKklqpRa18lGfCiY2xjodh6xtiGL/cT604vdQ4IwhDbLKXMR43vBKIrtocGtASXY+qdMbZxPu4sgjW6XiPnobMiWxTbcDZsMysyFece4B5UVdXInG1mRa6eAYUodWyNRwBzvTHe6RKhqn1oWvZh5/tgy6oOMkiyIrNq2toVvPmtA/gF6rGjZwjc5FE2QmHWs2XVKmXBq84tAGfW5ACkNyqptc8TxIJsX46OqyXJolIpAekaES91D+LOp98BAHzx1Dp8eOJeYNBmP6ZL+TBsx27WY5bSbo/lJOB0Gya9DK+ffzdwgNOaLGcBZLS2A4Aqget7F+qiyyBDhbDtt5j4ry8CJ/PY07zEKD2j6NZ5HrCUASLtIXb2MLZkeh5yLpjXVcBhQeZ14hZvLRACbmZDHjX4KsShdqhiRouvHe5xia+NZiV3S29fTKhx7oUQjKCsyNdeey2uuuoqPPDAAyXf1pQpU/D888/j8ccfx2uvvQYAOO6447BkyZKSb/twAXlEMOO/9EdTbag4Rh/F1ofoDeVkyzYB53PEkpHVsCJX0prO3mdLjG0I9ZUPv0jZweroEwWOxFB6wVRshdBqIT2bcW0WRbEl64/vgVcZx72lXjvuhyIqtjUp3kjaFnTPFWNgI5xiO5iTjTJLzbW2GNsYkzz6mRMWXsT9cAzfKulw/Zo1a/Ce97wHjY2NGDduHC644AJs3769lJs0wDqZ5EfUa2DT0sFm2CJJAqn5Ld0AgLd7hqFwpkLrlimWgB2LS967nw6iygZRct3UOtZ22HZjp5U6jAXZNa42LWB3TsI3/rYDKoCPn1iD/zr2gKbU2kktUWopUutmH7aqr5Lj5QbWfGQ99PodhJqox/byQ3TG5GyfZktedDnkEy4GpyqY+K8vYNzBv0C02ZLp40VnTGYdb9Y5sSu3rPMdKQGZB6m1q/a09dw49yKPMZ1PaCsYd5R246mSQ1V3G5jwymodFPRjIGjI5GH4OxArnH766WhsbCzb9jiOwwc+8AF89rOfxWc/+9mE1BYZQeK/akIptux4U3OD3jG2REWqS3sotoZqxaEmFlZkdvIoLWNDBMUW8Y85ZJG/6IptSLWQOpS1IW2wBAcNYksrttWgHDqVcqOO7UAuFDk0k0eZ5X6CEi06zj2Ma6JbvzbSAm+cO6+SY3GBkTwqgheZXsJ+fg7H/kxJie3f//53fOYzn8G//vUv/PWvf0U+n8fZZ5+NgYGB0OsKM+rgNSv9IFdUbb2sdZtkRrJ0wBXdljo13Y3RtYCkqNg9nLfYkdnKljOxEv0dPT0KCfFaNgipZVmQg5AZO6kVRMGIHxVELZY2lRaQzogYSvO46fHXkZUUnD4jg5vn7AI3eMC0H0tUzVp9AEENYDW2k9OgsbVO4mqux25Vpq3P5L1BcGlrsjRE2ZK7wHW9Diz6BORZF4BTFUzbfD0m9z2hZYTWjw1N/skxdBzjEDG3LGsy/R398vvObm+mrwP6OuIFHqIoGGq9IPJIp3mM2fcn7diOP9oYCDAGDmSaxEq2z5XPiFxVI50keVSUVwg8+eSTOO+88zBx4kRwHIff/e53jnnuuusuTJ8+HTU1NVi0aBE2bdpUpJ0sPj73uc/hu9/9rmP6nXfeieuuu678DRqB8Ewepf+vDVNSxbfcjzfRIyqSxYoMl84gZyq2YRW7osJe+0aHolLJo0LVsdUXKUbbSgS2Yqs9r8LF2AqhNW36egjnJjBxsF+3IjNibOP822JeapRiq5f7kRQVfVn/UksEljq2ZP0Bl6UJdk0IOzhJ2tVclzL2wesZFBcU0jT6HlFUWA5ynPe5VCgpsX3sscdwxRVX4Pjjj8ecOXNw//33Y+fOndi8eXPkdUZNVFmMB4lqkCgZnJLDwrFaSsXXuocMlQpgkQu2euqlnIYht16ENiqptS9Dk1rncvb4Ws4SR5rOiJDSAv7nz9vRNZjH8eNS+N77+yHmWYmirAmjghBawKmu2qd5EVrW8nYVl8zjmJeySjv2Qc/uzPW9C+7kyyDPOh+cKmPSv1airftvnsqtndyS4x0k5pZ1rt1GAb0GUpiJoxi1i+l5aaW+pe95iAP7oKbrgNbJgDEoIPnG1YaBooS/vwtJeKsYVvLo6yg6iBU5ygtAb2+v5ZXNZpmbGRgYwJw5c3DXXXcxv3/ooYewcuVK3HjjjXj++ecxZ84cLF26FAcOHDDmmTt3Lk444QTHi07gVC785je/weLFix3TTz31VPz6178ue3tGIrwS5hB1wSC2QcijX7kfvxhbI3kUbUW2t0v7H5/kUS77HLHcD6qoo1+MGNuwSZssyaNClpohMGJsKcW2GsrOmPVjzWk1KcG4X8LUsh2mkkcR8hX0p5om2GEUW3JtjKqlslGHH/spO+i6vWFBL6KqqlXAi/EgSqlQ1hjbnp4eAEBrayvz+2w2a+lQ9fb2lqVdbiBlfpgxnXIWp43txaM7a7Ht0CA+MLaRQfw4R+fXXvrHLTaSfGe2xboiP+LrRZSDkFqvuFq79ZRMI3G1NKkVUwK4tIA1/3gTO7uGMLFRwD1nZ1Gf3esktYQoutiOteNgEk96OkFYomSfn6NibLX3Orkl+85Yh3YEZABkZNZGCjgRUN4Bd/JyyJwA4eWHMeWZlZDm344DrWc61idLih53S4J52XG29Ht7zK32nbP0D4HXw841cZRFFbar9rZBDZFH2/5HtRVMPEHbD9Uc6fVKGlVstbaSMbJl2zRJBhVlOWixpjRuvPFG3HTTTY7Zly1bhmXLlrmu7o477sA111yDK6+8EgCwbt06PPLII7j33ntxww03AAC2bt0avp0lwqFDh9Dc3OyY3tTUhIMHD1agRSMPXol7yCTSaQ5GHtnqpQnvXixRfWo9siLTpWZikTzKhQpZFNtQMbbxt8Sy6nqGIraMGNsoyaNI9uywiq0RY1tvKrZhk1hVAmasp/X+aqlLYzA3hM6BHKaNrg+0LjJQVWOJcw6aPMo8/2EU2x6P+sFx5niK32PNA/S5UgHINmfq4YaypcRUFAXXXXcdFi9ejBNOOIE5z5o1a9Dc3Gy87J2tUsKto22PuaWVuveOPgQAeKNrEDnAltmWTQII3BU0b2UtiFU5qPrrR2qjxNUKIm8kixLTAsSMgLs278JL+/rQmOFx/wcVjFP26tbjrGk/pqy9rIEEp+2YXZ6HXiasFZlezvneqd4aCjKxJtv2w7QnD2rqbe87wKnXQD5OU25nbP4/GNf5hEO55aljySSRAWzJdmuyV4Zk+4u+btxIrX1d5Dty/jP8MJp2a8RWnXS8Q4G3w0vB1c6/rpIGfEhHGaWMOrIZix+OSBmRTTK8a9cu9PT0GK9Vq1aFbkIul8PmzZstMao8z2PJkiXYuHFj0Xa1mDjqqKPw2GOPOaY/+uijOOKIIyrQopEHeweZhhFjGyZBj69i60dsg2RF1v7zHBeqU10yuJX7QTTF1ismLy4w3OCMcj+9YRXbsOV+qPekFJWkqJAC1VkGBnMSBvUkZWMaKSsy4k+w6GzENIw42xCZkZlW5JAJvMIqtiTGtpmh2MZZKy+k3A/9WFBU1ZpbJKb3dylRNsX2M5/5DLZt24annnrKdZ5Vq1Zh5cqVxufe3t6Cya2mZnGBR0FUxT8zsqITl8m1PZjepOKdXg5v9GdxXF0asqSTD0UFnR2ZgGS6VWTFobZZ5wnf0WYnggqm1Nrn0eKFvRQ6Z1wtXaNWTAuoqU3hVzs6sOHNQ0jxwA/OGsZR/D4g2+cktS7WYzeFNojKF6QmKicIrsu7gVZv7dcJhyygCoCi31okeZW+j1zXq8DJl0NRJPDb/4QZm78AYdFa7Gt6HyTebIMsK5AlBYLIAxLZqj0dM5lmbxUM9VbbtKngGvvg4qNlWtqZyamsaq1IXQOptIC2g38Anx+A2jgeqG8BBjugSDnIJGZapkv+WAcNAPZghWkBjv6gHrEPeU7QnAFRloOmUDY1NRXUhIMHD0KWZYwfP94yffz48UbG4SBYsmQJXnjhBQwMDGDy5Mn41a9+hVNOOaWgtrlh5cqVWLFiBTo6OnDmmZp7Yv369bj99tuxdu3akmzzcIOXSkVu5VAJegqMsSXk2Zo8yqbYxq7cj0uMrUInjwqv2JLFoqhEpQZ9Dgii1bEVIpf70c6/eZ0MSwoaBH89iKi1GZFHPXWd8WHZXQXgZok1a9n6H3uCYSorslnPOqhiC70d9D0YJMaWEFtn0q5qGFDwGgh0g3Wgyvo8G7F9Hg+UhdiuWLECf/zjH/Hkk09i8uTJrvNlMhlkMhnX7ysFTSE0CZCqSAZROW18H97pbcIrXYM4viFjUWy1jr9GZAkJMWzHgje5BYIRXK8Man6k1j6vW4ytfVk7qaX3lyi16YyIv+3txoNb9Fq1Z6VwcvO7WlIlu/24AFLrILgByKzX/Haiy3mU/1EAsMoDcYB2yiUAYtpMhgVo+9/3LnDKFZA5HsJrf8TUZ66DtODb6Gh5v75tFarKASJvkFtO4QBJBrmGyAAJsSgbVmTqegLYBBfwt7ID9nhaa8y4dYCDUuwFHmKKx4Q9v9L2Zdp8QMmDZEMuJQ7D5/eIxOOPP162bV111VXIZrP4+te/jq997WsAgOnTp+P73/8+Lr/88rK1Y0TDg3dFSx5VWIztUI5Ykd1jbE1bIBeqU10yeGRFNpoe4gFIcxZFVcFHKjJSWiiMjn5kxTasW9vYtkmqAO36bMj4d5vpxFG04lwN9YONptkuidFUZuSgoBVbM6472LIKNYAVKnnUkNY+2opsjifE98CzBnKCwj5QZY2xLbhpVYeSWpFVVcWKFSvw8MMP429/+xtmzJhRku3QJzFoPF0Q1w5Rlozt2AmVKuO0sVrc8MuHBg3Fyg9edmO3+f1so/b1BCG1QZJFWdfpTBxE22ZJXG0qJWBb7xC+v/FdAMD/OTmND4/fadqPQ5JadgZj6r0sGy8aYSzIxjK29bAs6rQ9mc6czEwqJen7qsra/ueHNHLbvwt4739BnnkuOFXCEZtXYmz3kxBTmtotCFZbsjOhlJVcWs4dI+mTcU59ykXZ57Fsy1W1N7NgCyKPloGXkOneDlVIAROPNc+11/kMmRFZVQ7PkUhXFGhFLgbGjBkDQRDQ3t5umd7e3o62traibafY+NSnPoXdu3ejvb0dvb29eOuttxJSW0SYagkrxlZPHkVibAORR59gNKPcTyGKrbmJMDU0SwZjX6z7rKoqVHgTeRZoshXXpyjLEhsleVQmJXhegyzQGZl53hzcIDWQ/UAUWzpxFFAd2XldFVs9M3KYWrbE5WAtuRRsWcs9GMI10ctMHhX/AQVWFvCgsCSPggraMR/na61UKCmx/cxnPoOf/vSn+PnPf47Gxkbs378f+/fvx9DQUMHrLtbICyn5Y1k3w+ZqIVF6XCWkHBaNOgiRB/YP5tAlKeB4Tit7YiTU4R1lcghoOzAro3JYuMVS+m3PnOYktSwyYy/rQpJEEaW2XVVw64Y3oajAx2fx+NSMt7Ratbk+zX4sDVrILR2nqirOWFr6nBiEyEZmg5BWFtyWC7J+lWonTW6NkkCE1Eo5jdTKWe1/tg8Y7gbXvR3cycuhHH02OCWPI577PNr6/4l0RkS6RjSOK0nKRcityCoHZCGerDhv22CHrS6ynfDaM3ub01hWdNOGLqYFTNn7M20lk+cAUAE5x7Qh0+eAPsblxsgY0YyaEbl4xDadTmP+/PlYv369MU1RFKxfv75kVuJiYuzYsWhoaKh0M0YcvMQy8jNO17H1/G2nv3NTbH2suaxyP07F1pk8qqLlfgwyb1NsVVqxDRFja1Ns4whWPVVDsR2WfPuAhg1W5P0uCQeM5GH6cvW6SjsUMIEUUWxHN1gdiKYdN75gJe0CzHq8ZN+CwDwHZoxtWDs4nTwqyOCSYUWuY2VFju+RN2OKwy9rL/eTWJFLiO9///sAgNNPP90y/b777sMVV1wReD3FHmVRVBU8Ryyb7KvILcaW/Fd1Ra6RG8C8MVk8eyCDbV2DWDy63mFHdmRG5ikLKZUl2Zrt1rSS+iFQuRYX+7FzPrYqa1foiPWU2E+JUtstK1j9tzfMWrVz3wEnDerEzlup1fbXjLlkqaWAv7qnRCBHPHWuaRsyvT1OMGOv6e2S7Ml0xCsNjpf0EFjbSCcvaMrt4qu1bMmvP4pp//ocpPd8BwebnSVIVEUFJEXfjjVjMh1rS1uRzdhb2Kb7w5lIijOm0wM1HEVuG6W9aNj1F6290+YZ59zNRk7OtRe8rPhet4ffcyPOP3KhUWBW5KDo7+/Hjh07jM9vv/02tm7ditbWVkydOhUrV67E8uXLsWDBAixcuBBr167FwMCAkSU5weEH8txg3W6k00WTzKykGB1ZBywriajY0gltOEIObYPbpO0cFy/F1lHHVoVCnv0FxNjGGbQVuUkntrKioj8robEm5baYcb4yKQH5sMkHKSs6oKn7nQNAf8AarkTVJPZdgrCxvpUAq44tAIzTk2Ad6AtObPuz2u99fUaMpEQC2vkng0s5WfHstwN0jK0zK3J8j7q7Uh4WjnI/Mb7WSoWSEttKdxz9bgDHvLARGl09FAQn6QEAVcqBUySc1daLZw+MxZaOfpw2tsHMjiyogCQbRBYuZVvsJYBoRFFvHQmhPOzHfsmiyPJ267Gh1FGkNssBX//HW+ga0mvVvvcQxGyfZr8NQWpdrb8ehDYKmXVbnqfOP2AluITckumOdoARdyvltLw+CgBe339AOy6ARm7f9xnIqgLhjT/jyGevBXRyS5M6GZojwLyanNeVdq4VfZ+ssdtBk5KxrMzGdSJYlXwtczNnZMKevPdn4KBCnTQHqG0Cst3UuWaXaNLa5O6SCNJmv/lGhirrAU6MmDwq3DLPPfcczjjjDOMzSfa3fPly3H///bjkkkvQ0dGB1atXY//+/Zg7dy4ee+wxR0KpBIcPyOOE1R+wl/sBNELiTmypG9nViuwdUGlPaCOrKiMrclyTR3nE2IaxIjNWHTe41VNNizxykoKeobwnsSUKe0bkoZeUDZG4yFTsAaBeL/kzmA2n2NIZkQGKLMb0mAO0JdY6fXxTDQDgQO9w4HUN5rTf/PoMVXIp6G85df4ztoEvOj7eDpIVeVQdVT9Y/x/Xax2Ab4SFFywDVdAGfgjibL8uFcpax7bS0G4oDmG5oirLUHktgZSiyOAVGbKUBS+mwck5LBnbjlsxFq8cGkAOgCDyWnZkgxzqiaN0YmZkRqaT/VDJpKztDY4ghFZ7H4zUshQ6Eudpz4As1oj41r/ewa6eYUxs5HHP+w+gPtel2W5lypKrSg77MSueVvvsVGmDENoodlZanbeTXAuRdVFvaZIrKxI4XrSqt1IOHMl6TKtkeiIyrns7sPgqKKoEfsd6HPnstRBOuQvt9Yss2ZK1/VPBKape75aiuTxR+NmZkrV9UxzXCQv2GG2a0BIrOlHsxZSAVFpAI9eNlrd+rbVx2nzddm6eY68Yaev+sQcwWGED1YKSE+syKbann36674DlihUrsGLFivBtSTBC4R7fRjqvKYGHwHOQFRXDkoxmuBEW2opcWIytFnupVSB31LGl4t2ImjwYML6yJHBJHmVVbIM/ZKwd4Xg+U83cQdbz3FybQkdfFj1DeUxucV/eyIpMxdiGje8ky9VntGtgIBdMsT3Yz1ZsqynG1qHYNoVXbAcoxZYLqZrSyjHt6BjMSd7EVi9HNIpR7qfSYpsX3I57EFhibBXrdR7na61UKFsd25EEC8mSsziitg9HtfCQVeDlniFGrCM7IZMddrtwMALCTiQVhtTS37HWYye7dGwtUWt//cYBbN7dg7oUhx99YAjj+C5rLK1sJbVuSaII7LGu9DQARtImev5CYjTdllcsbWTE4DIIG72sI37XUK2p45If1BNK7Qbe+x9QjvoAOCWH6f9agdG9/zKIY0pPKsVR55xzDEJQ7z1iuP1e9HKsGF7Odh2IaQFTdt8PTs5CHXsUMGq8njSLDFZInvG19uMbBnayW63kN8Hhh7vuugvTp09HTU0NFi1ahE2bNrnO+8Mf/hCnnXYaWlpa0NLSgiVLljjmv+KKK8BxnOV1zjnnlHo3PGEotowuLTNBjJfltwgxtoYVWRTM+qZ2xZZqKyE1QeMrSwOD5TkmmzG2IRRbS4xtIe0qHViKLQC06LGTXT5lZ8hARH1aCE1s7NWVSIztYEBie4jKikyjmurY2nuf4xs1xbZzIBfYvTCgW7fr02JoUk/HWAt8sAEmVVUNG3hrfXWV+1FsLoEwsDgwYLMij3S3GgMjSrFVFIRWY1lwWE0ZllNL9ls5iyWTBrCjqxZbOgYwp7EGgqgrsgKvqby2WFuWagvAYUsOaqU25vcgx26k1i0Dsp3QsOJqxZSAZw/246EX9gEAvnlWBjMz7wC5QTNhEil340Nq3azHdrJIw40IhSFIbrHUdhWXtii72ZPtYMXdcsgCyLjYkndDPf1zUKCC3/E4jty0AtzC7+Fg0yl6O7TrROX1h6Ci6rG3ZGuAGXdL3iOwG8At2Zj232pFJy9B5FEnd6L17Ye0th3zPuOcq7pia0chSaJCCBNMlOpBX9EfTY43atKGXu4wx/r167F+/XocOHDAkdPg3nvvLdl2H3roIaxcuRLr1q3DokWLsHbtWixduhTbt2/HuHHjHPNv2LABH//4x3HqqaeipqYGt912G84++2y8/PLLmDRpkjHfOeecg/vuu8/4XOkSekZGUsZ9RwgkSRAzmJO9kzRZbn4/xZZ9Q5LMtrUU4bF3tukMpXW6DXUgYHxlSeCh2KoRFFuLwhNTRcek8tbzTAjLoQFv5ZAQoLq06JnAjAV7vCOxyvcHtCKTrMijG9gxtjE95ADcYz1H1aWQFnjkZAUdfVlMbqnzXI+sqMZgUF1aCL3vdsG+PiNgKC97quaDORk5PRt2q00t19YZ3wNvdwmEgT15FN0XSRTbmCOMEmOf1evcuq3WjczSxEzV1bezx3cAALYe6AMEq5JmUXAZJFL7byUUrGRPXmAtE5bU+iWLohVaQeSRzog4qKr47r/eBQB86iQRH2zdoamPRrIookxmjWzBZoZciUlqWSqtm0Lrdm7CwG1ZVgywm3pLt9W6P5K7citRx8eSLfl1YPHVUI44HbySw5GbPou2wX8hnREtyq0R32qcG8E4fyL13jif9MtGTpnzUdeuqGdjtljR9YGNdEbEjH33gZezUMccCTSP12zIetIo1oscG3JcCyG6QOk6CkHLh1UaKsdHfh3OuPnmm3H22Wdj/fr1OHjwILq6uiyvUuKOO+7ANddcgyuvvBKzZs3CunXrUFdX50qmf/azn+HTn/405s6di5kzZ+JHP/qRkXWaRiaTQVtbm/FqafHwa5YBXjG2rHqx3rVsg1iRvWkMXYKEc+ls04qdEV9ZUSsyW0ZTQbc9TIyttSMcR7hm563XBmo6fcrOGGphRqDKvQRUbPX/zhjboFZktmIbtuxQJcAqswRo9yixI7f3+tuRaXW7PiNS7oiQqjnI4AIZYHK/D8k1kRF5S9y+kV8kvofdNbY5COwDVdYY2xjvdIlQ9YptoSptkART9gRSBISUcYqM2Y1dGFc/DQcGFLzem8Ux9WktBlJPIkVUW7AS/vBO5RYwFTO3xFL0PJZpDEJLTw9Hak3ixNNKbVqAnOLxjb9uR1ZS8L5pIlbO3KXZj+0ZkD1Ip5uNl/7sZl1lfQ76HYFdraWX41wyJZP28HR8LaXcuiaVsm+bKLesbMnYA7z/M1D4FPgdf8W0f64Av/h72FvrLJtixtvSSaXsW7VlR/YYOGFlQyaDG/byPlom5N1ofuMX2nGaeYazlBM594zkX/b4Wvv3bgjcQYn4S1Z1dmajfE+E5Q5jrFu3Dvfffz8uu+yysm43l8th8+bNWLVqlTGN53ksWbIEGzduDLSOwcFB5PN5tLa2WqZv2LAB48aNQ0tLC84880zccsstGD16NHMd2WwW2azZSe3t7Y2wN94wOrSM7+gkPXTJH1dYkke5PMMMtuqTFVl0j72kSVUdia+sqGLLTh4VPcaWXneBbSsR7HZgAqLEdfkQW4tiG1IttJcaIlbkgQCDG7KionOQrdhWQ6ynWerI2S8e31SD3V1D6OjzTyBFjr/Aa4NWZkhCwHbYBjYIUfWqJdxJ2ZDp9hvv4nvYAVivuTDgbIqttdxPwQ2LBFlRkZMUfQAxisE6Og7b4XqH9UhRoSiqu7VVNuMEFTsZk7PglSzOmqTZSbce7GeqYSywshQz41xdXvZ1hSG11uV4V0LD2wmNyEMUeax7fjf29mYxpTmF75zSAUGyZUCWchbVzjzWVMwlw35sV0mNcxAgHjOsauul9LpNo/fD3nbLZ0t7PZRbRQZUmYq5HdJU776dUE+/DvIx54BTcpjy9AqM634S6YwIMS0Y5JKcG0I8iV2c5RgAwLw27depPUbcvm6SBTmVEjBtx3fAKRLUKQuA5nGaWmvZT8lyzLzs46xr4rDNdBwGHB/9dRgjl8vh1FNPLft2Dx48CFmWHdmix48fj/379wdax5e+9CVMnDgRS5YsMaadc845+PGPf4z169fjtttuw9///ncsW7YMsssA0po1a9Dc3Gy8pkyZEn2nXOAVW0dbfgMptkHK/fjG2BLFVnBV0EwbJGdRbCtHSNgxttY6tmFibOmOcDx7+27JdEwrcnDFNmyMpb3kDRncCKLYHhrIQlW16761zk5swyVQqgQUlwEFwCz5E0SxJaWR6tKCEe+vrT+kam6zg3tZkcmAgt2GXA1Kub3EVFiYCbdVy3UuV4jZvrqvF8etfgyn3vq3sm97xPRq6AvWrtK4dYyDDHB6E12qI54fxAfGHwQAPN/RD14kVlFiQbYlYbKppdp/WybagJ4EJhkOQGqZZX1sFlRLoig9C3KmNoUnD/ThH293IsUDd56VRbPSoREyElerZ0Cmj5Es5VxJLZ2MCfCw/XoQ0ELtrG7r8vpsbyMrqRRN8ALbkvNDui35NXCLr4Z89NnglDxmPHsdJvb/wyC3YlqAmDKtyYJotShbCSptUXZ/ibrdmM5+bLE869dBOiNibHYbGnb+WbO1Hvs+Kq5at567DBy4JQuzg9y7pX42F1OhrcjvCFFso7wOY1x99dX4+c9/XulmhMatt96KBx98EA8//DBqamqM6ZdeeinOP/98nHjiibjgggvwxz/+Ec8++yw2bNjAXM+qVavQ09NjvHbt2lX0tnqpZZayOkHqxQZSbN0VTElWIOk3aE2KN2gia6Ab0GgkITWSoiLn4Z4qKVxibFUVUHyIPAt0dyGuXX03xZaooL5W5ByVuMhca8BtW9VCMrgRJCvygV7ThizaxYeQCZQqAa96qqTkT3uAkj+kNFKDrnaHVs0V89kABEvg1dnPJrZVUGXJUWIqLGj3iUzzoQpda2RgwyuDdalQ9VbkKPCzL9utqKoiG2Ux7CSLlP/hVBmntHSiPjUZXcMSdg7kMDkjOhLt2FUmuw2ZrjuqfW+9zP2s0yxCS093JbUG+bXG1bKSRe3NSbh7004AwKpTUzix5m1gaMggNJoC6cyArB0zNqmlj7uXSkvD24YczjbG8c5bgXkd2D4HsSaTZYz9A8OWzEu6WzgH8KJGEAGN4Pa9C+69/wGZFyBsfxSTnv4csHgt9ja839lmXgUkBQo0C5CqOxF4yxb9O2fk/GvvTUWYtqKLooqpz9+iLXDU+4G6JmDggGE/146RXrtWZg9MFCO+1lyXt/0mSGfCjZSS6VVnUU7gieHhYdx99914/PHHMXv2bKRS1jIzd9xxR0m2O2bMGAiCgPb2dsv09vZ2tLW1eS77rW99C7feeqvRZi8cccQRGDNmDHbs2IGzzjrL8X0mkyl5cikvtUyl5qkhiq1nxtXCYmyHKZtzTUpw7fDSalEdXWokKyMjVmAwyIXlaZ3WsKmRqkWx1f7bCVYQxVZWVMNyXpcWzBjLgOMSrmphgORR+3s00tfWVOP4zi0Ld5zgNqAAhCv5QwYByLHzCklgtkP/T5oR5Bx0uSi21VFmSfsfJXkUQD0FYmJF7hvWzr9XrelSoSoV2zAWxEI6ol5Eyk7UIOWQwTBOn6g91LYeGgDHsWygVtWWht0GykIxSS09b9C4WkXk8c1/vIW8rOIDR6SwfNpOvawPKekjW+IryYtWauljGIXUutuQJeMVFl7LBbkO6Laz4kd9bclUjV+tTA5RcnX1dmAPsPg/IB93PjhVwqSnr0Vb1+NIpQQjmZcg8oZF2KramsTUquK6v+wlhejPqbS2zWkHfoV056tQM41aJuT8EKBIDvs569xGgRYqUNAqioa42aBV8JFfhzNefPFFzJ07FzzPY9u2bdiyZYvx2rp1a8m2m06nMX/+fEviJ5II6pRTnHH0BN/85jfxta99DY899hgWLFjgu53du3fj0KFDmDBhQlHaHQVmP41lRS6vYktsyKS8EPkdtKsadOdeFHjDJh20jmnR4ZoVGVANxTbcQymsglZuGLGetumEtHgptvbERfZ1+m7blsinIUS5n/26mjmeQWxNxTZQMyoC1UuxbQyu2JpWcFFfnzY9bLkfo5ZwOoBiq18TLXYLeDUMKOj/o4ajGoptTKzI/VmtHFdjpvz6aVUrtqqqli0omU4gZbfFqkShlHNY0taFR96dgM3tfbhoxmhIedlQWbWYWE2v05JJ0Ymk4Cz9w5vT3WAnwK4xtgxS65YsShAFk9SKmu1U1K2n97yyD3t6hjGpScA35+8Cl+/TsvnScbWEzOqlXrzsx/TxtBNDr/fmtOJ2NOj10Squl3pLvydlgWjl1g0O5VbKgeOp+Ulb9OuLk7JQT7kSsqpAeO2PmLLp/yC1+HbsHfUBAKYlXZYUcJwKlVeNckCaaquD51wHfOjrx2JBpqzO6YyIUalujHlprXYsTjwP4BQzaZhlMIMdN0uff/sxDoMgA1deJDRuBDUykuRRkfDEE09UbNsrV67E8uXLsWDBAixcuBBr167FwMAArrzySgDA5ZdfjkmTJmHNmjUAgNtuuw2rV6/Gz3/+c0yfPt2IxW1oaEBDQwP6+/tx88034yMf+Qja2trw5ptv4vrrr8dRRx2FpUuXVmw/PRVbKq4skGJbYIwtsUfWiHrcH2u1oDvV2uf6jIislKtcZmSDtNoUW6iRrMhkTSoqZ1X0g1v5k2DEVndRkQGMkDG2JvkiMbZaX6A/QIwtIX1tzU4nhNtASpzgGWNLFNsAMbYDRh1hqxU5rGRLljOTuPknjxrtiLGlVltG3hAGXgMKgUANmlhCMytlRdYV24aE2JYeQbIg0yAExfwsGQSGk2VA1AmZrrSdMa4LIj8Bu/uyOJDNo0knB6pBKOm6tvqFLHBQZI/syAHTPrsmqKJILb1OFql1JIsSzBI/23qG8NhrHeA5YO1ZQDM/CORsyaJUK4ElpNZ+TO3vw5JaL0IbhSCxsyNL+ndWgmvPlmxflkVu7bZksn5XW7IEQExrx5b+rn8n1FP/HTLHQXj1/6Ht6ZXgT16DnS3ngpMoUkoyJfMUgaavOdfjYNqPDWLLWUs9pdMCpmxZDT4/AHX8LGDiTCDbY6jMdEyxm8vBDXYCnCAgOC5aIqgY/sBXCrt37wYATJ48uSzbu+SSS9DR0YHVq1dj//79mDt3Lh577DEjodTOnTstz+zvf//7yOVy+OhHP2pZz4033oibbroJgiDgxRdfxAMPPIDu7m5MnDgRZ599Nr72ta9VtJatSR69kkeZiu2wp2JLW5HDK7aEmDTUEBXJm/CYpUYEdA5UMjMy6eUXT7HlOU6vgxtP0PHXNIysyIM5yIoKgdHvodVCLXERWWfQbcOy7XrdBhtkYMPLimxffxzhFetpxNgGyIpMJ+8CwidwosMUAJMgD3kklyP29BaHFZmKslbj+bNnz8QdFvRz1lrup8CGRUSvYUVOiG1JEeSCVhQV9kooFoJiIzF0R5xTZDRx/Vg0ScDTu2RsPTiIM8Y2QOa1HxyNuDrL/rAUWTMmxP+q9EwcZSO1rAzI9HJ0XK1BaAQeWZ7D9za+AwC4+qQM5te/AwwNmrZZj7hacnwsyp0tURR9LL3ea5+DWYbDwE46WdsjBNct1tZPueUEdqyuosgWoskpsnZ5sHaTE8FBJ7dCGsK232D8xi8B8/uxe8Kl1DpUfVuqod76qbZMtZazZsQW0wImdzyM2l1PQBXSUN/zcUChEl+xVFrZWoPYftxZ14p2XNjXfpzjZCqGRLGNBEVRcMstt+D2229Hf38/AKCxsRFf+MIX8OUvfznwoGJUrFixAitWrGB+Z0/49M4773iuq7a2Fn/+85+L1LLigfNUbEknmlJsS1jHlliJzYQ27M62Q7GtdC1bw4psj7GlkkeFpKhxjzt0yxLbWpcGx2n73jmQw9hG56DNoF0t1KcHpfH282/WUA1uRR7HtCKHI3eVgFesJ7Eidw/mkZW8483tVuSwxgL7Mao1Ymzdz4Fb/WB6T+J65O2ZuMOCTh5FH7pKXWv2QcRy4rAitm5QFFV7gnmouawEUnZlitPjTD/Q1omndzVjS0c/lkxogiDzuh1Usai2AGwkF6Btyeb3weCwJXvYj7XvTZVWFAVHXC2xIGfqUrj7+V3oHMzj6FYBnz/mHa0cDV2vVic1xH7MsiCzYk/DkFoWoS22skevzzmIIbmqt6z3brZkVp1bUNNURdYexDwARQBA2X4kQbMlKxLURZdDFmsgbP0Zxm/+GtLz+rF7xn9iaDCvq7W6LVm3IxOCC5ABHNbghjaNJrQczyGV0q6FMakDGP3c17V2nnQpkBKBwW5DsafPvf14shJH+UFR1FjHI8UFKsdDjaDYRllmJOHLX/4y7rnnHtx6661YvHgxAOCpp57CTTfdhOHhYXz961+vcAurH161O+lYRtIB9qpTaY2xdSO2/ootUZHclDzTiUqsqBWuZetSx1ZV1egxtroZOa4cy548iEAUeLTWpXFoIIeD/VkmsSXnqc6mFobdV6LYmzG2/r9ZxKbLTB5V5TG2TbUiMiKPrKTgQG8WU1rrXNdDLMNkUKDQkktBBpcIsbVfE/S+KKoKIXLu4dLBPpgSFvSzjCazcqWILVFsEyty4aAzHhO+6gVVcTqavMmN7Miga3TYFRlQJJw1vgc3oRmvHezHoKIgbUnao1pUW7f4WXt2ZD+wVFrHdMs8Vuux9r2zXm0qJeD5QwN4YschCBzwrfcNIqMM6YmCZEdcLTkerLhaAJa4WhaxCUpqgxBar/hWAqKiMpdnqLiFklv6O5bCa9kuAHBkH7Kkwdr//BC4/l1QF1wKOV0PYdPdaNnybfC5Prxz9BeQy8mGNdkgtlS8rSA4Y33ID4g96ZQgaEptYwOHSU9cBy4/CHXCbGDqiUC210waZinvJFmuBwfBDXBugsIyOunzq0luqTjHOCUoHx544AH86Ec/wvnnn29Mmz17NiZNmoRPf/rTCbEtArxIhdEB48ysp55xjKob3aFhCaizEGDS2ao3Otu2dtjaFT/F1m5FpontSFNs3Tv6YxszODSQQ0dfFscx8qI5FFuPwZUg2yYEOUiM7b6eIQBAW7N78qj4GsDhmcSI4ziMa8pgV+cQ2nuHPYntoFFuiWRFJusv7By4DS6pqooOPVvzOPtgh+2REEeYj8LCFFvFZkWuVF+nb1hPHpVkRa4uKFQH3ei8yzlMyvTiuDE8FBV4sXMQgmDNUGtP8GStJWv/zitDsvN7Fqm1l/VhxdW6WpCh4i7dgvyp99TixLoOU6GlSvvQqqwbYbUni6K/s0+PSmqNOrIBiVOQ+VlWaLpNfgmuLLVuGceAEEHXGrfUoAnkHCDp2ZJzfeAGdgNzzof0vusBAM0v/whHvPTfqKuFprhTGZPtdW6NjNf6yz6oQcdY1zekMWXLjUh3vAg10wR10Se1dlAWZNgILDm+lYK9nnW5UdbNJ3VsI6GzsxMzZ850TJ85cyY6Ozsr0KKRBy+jLB1HF6ROJVxiTa0bpL6zdepIp5jEfbllSzXpsxljC1QwK7KLfqkCJrGNaEWOa0ffTB7k7OgTRc6t7Iyj1EyBamEjlTzKa/C0bzhvxBZOHFXr+D6qclxOmLGebII1oUnbr7093nG2/YZqblVsA8c56/+5gINL/VnJiM+3W5HpwZG4DuTYM3GHBf0UsA72F9Kq6KikFfmwIbZRy/6wrJOspDhGPU5FBqQslkzoAQBs7ei3kQmdjAqMkjsUuXWWAnKWZLF8Ty1jzsMFJrV2IpNKCUjXiPjNjg50DeZxZKuIFTP32yzIOQuhsdiNGRZk+ng6SuMEILX2dRnTQ5JZN3ith7VtP3JLL2MpY8So6RqI3Bq275x2DnJ9wOAhcF3bwR37PkhnfQUqJ6DxzYdx1MZr0NKQR01tCumMaCG4xGJuJ7H2aemMiHSNiMaWWkza8wvUv/FrzfL6/k9rSrI0qLXDljRKsZ13xbaPbsfVa8DCfv+OmGzGxUJCbCNhzpw5uPPOOx3T77zzTsyZM6cCLRp58IorpEt61AepFeoSa2oB/Z3NntvvUoLEriLZExcZpDtAHdOSwKW4qKLQWZHDJ4+iVx03+Cm2AAyFzg5ynsh5C0v97Yl8mmo11UlVgT4P1XZvt0b2mmtTntlg4+wYUnwIFlFpd3UOeq6HEPymmmiqud0SXWck8GIff3ItNGREIx6XII5ZkO0wylsVaEVWVDUWVuS+JHlUYaDtx2GWAa8GSq1N20hZ31k65kbZnx5876VGvHCgH/IJ2o1lrwfKSiBFW5AJUVVk9wuTRYCZ8xnlhqyg22O3Iu/Ly/j9tnYAwFffqyCd76YIreSq1rrF1RZCat1QKkXQiIe1WZXt1wJtTXazJbOWD5MpmeO1uFrtC53oIqMppjox4fp3/X/2vjtejrLu/kzZ3dtrbslNbiqBEBKSmJgQWgJECMRC0R8qSJMgaBQNr0oUKaIgUhV4jeiL4qsINnhBEAkBpAVCQiCUJKS3W3J73bu7U35/zDwzz9SdbbflOZ/P5u5Ob9mdM+d8zxeY/EnIn74bwnM/RKRhPer//QU0LP41egrHIxZNgJc4vResCo5XHYomx3PgOfMaFcMCCosjqDi8DiVv/BgAoJxwFbiSKmCgU1u/KrtY0Z2EP5l1POh0XsikX/VoAKuxTQ8///nPsXz5crzwwgtG/9j169fjwIEDePbZZ4d460YHfC2vFF8jJMRXFQ1iRbb8ptsVWxvh8VDy7OrJkCu2HsTWotim0e5HW8bw/O601znTSEZs7Yqtl+Xcc922VeeFBOSFeAwkFHRHEyjNd7dXNnRqNuRxLmqtth2pKcdDAa80aoL6Cm3fkhHbzn4tobhM7ymbtmqufy5MUufc2qutz63meiQotl5haUHBUQ+qhkO7n54hbPcz4u5qhuoG1i34yJWEKTKgyphZ0oPaQg4DkoJtHVGL/dNVcXUEPFntxV4v+zLM986wKDLc3tqHEG5Lr9I8EWve2gcVwGePCWNRySHTfqzKIDWVbvZTx7FzCYvyO8aW4+kyjiwzCKlVdLLt9UoGL/XW+jm5cku2xTLcdi35WrQV83gThVT7q6u4sR5wfYfA1UyB9PnfQi2qQahjB+qf+SyqW19AUWkewhERIaLKCjzEkG5V1t/be9UWl0ZQ0fYaxrz4TXCqDGX6OeCmnaTVV9MPOKiHG262a7djqvhcN9pykv8/905NTjrrKES6au2RrdguXrwYH3/8Mc477zx0dnais7MT559/PrZv345TTjllqDdvVMDP8kqrcgax9a2xda81ta3ROb2O3phW92WmIlu3w5jNHlyTQnhQTuCx35ZU5DQV2+H6fWkoWC7jqvV03pZeD8XWUWNrSPPB1u0SoETIbGd/wnO+gzqxdbMha8vT/g5XcgXQD3XcCdYEXbHdn0yxjWrHqUw/bqnX2Gp/OZti61XnTB5yVBU5iS1dtzpcD73hEkhzfloRp/9PD9X/794YU2yTIkgQ1GCB3MQbKptstY5ycgyc1I8zxkfxp+15eLetDzMrCix1rIA1EVnrr2u+18YnD5ByEmRn/S7gDIui62qNJGTdjhqOiNjS0YcPmnqQH+Kwek6rRmYStp61Nsusm1obtK7Wz37sOP4+hDYIWfWanvdS5V3U21SVW/I3aFKyom8PPUw7k7pay8PscUuOlyqDk+PgSyZDOn8NhHU/AX9oE6pf+joKZ12BltnfQxx5kBIK4gOSFjxCfetxPKfZjyMCQiKP8oP/ROmLq8ApCSiTTwY+eSHQ26hZkI06a6daa7chJ6tBDooU79sGBcPmppD1sU0bdXV1LCQqh/CzvFLfPhSx9fuOcFcuLfCpse3Vl12UpO7PbkUlBIkEogw+PGpsVdUxLDBStIYONvzazhg1tt3udZ69jlRkssygNljtL73msvwwmrtj6Ip6XwNEsR1f7k5sDVUt0FYMDZIRLMOK3JFEsSXEtkAjtqmnIlv/DxKCRJRAO1r03rpuii19CQ3XhwrJHigkA5nPbj0e6nY/LDxqGCBVRZgmRpY6W1XGkppuAMAHpM5WoFVZZyIxgZOceim8qZFaepzdgiwIvKHa8iEBv91wAABwxdw81AjdVFiU04Js7rszBRnwUSzdSGsS+7EXqQ2qwPoh2TLs6w6q3NqHJUuDJstyrbe1vCQzkZjU3Sb6wfUdghAC5E/fDWn+VwEAhe8/jPH/XI6y9rdQUCCisCSMopIICoq1V1FpHopLIygsDKEgJKHmnZ+g7IVvaqR22qeAU1cC0VaN1Eox4xq3p2G7/SXvg1jLabj9X0z3S3q4/pgxMIx2mGKZX42tmZ7qb0UOoNj61Njae2vyHuTOHh5Fbs79SE1O4ZmKPIoVW59nGESV81JsyXkyLMMp1hO7kWpDsY3GPec71EEUW2cisrY86NsxTA86nG4FO4hi29A5AEn2vuaIsk3+76QaVmZ/lFOar1mauwcSrvcGLUYP27BjnOUrIdjqBx3JLODJQGaTbcfG/nmw0DuEVuQRo9hmE4pPv1oCe+2jMYx3V+0ctlE5jgWV3RC4ajT0xNAWk1BE1diqPNXLVuChyNYaW57nHP95vepntXGc6zR0Xa2dSNMpyHSA1KsNndjfEUV5voCrjusD+vrNoCiVIlZwt9DSxyPI8KDT+pHabMLsMexSI6vXxhqfFe/662TT2OttyTDA5brT4ai3Jb8rnKBdm7otGQCEAkBecDkSdXMhrrsFYucuVD/7ZcTHn4ye465AX91JUMMRfbmAKPejcO+/ULTxXgg9BwEA8rxLgblfANez17QfEys0sUeD2IeT29JHAkZmvW66tuIj24rMkHv4EShiSOI5DnlGOw+f75BANbb0b6C9xpbcbFnTcu2bZg8uIjfnfjbUnMIjNEulHxek2e5nuN7qq7ZzQKOmhCi2HsS232qDTV2xdUq2pQEebhwyamw92uCQ/wvD0H1EkKyfalVRBGGRR1xS0Njl3vJHVlR0D5CHC2HL8tINjyqlA7wGJON8EDR1addCjUubpZFgRSabla5iS77L7ER2KPZ3ICEjrnOaoUhFHrXEVgvISe0CIXZnP+KrKDIEl0Ah7a8EIKwTDwnF6MPsWhHvNErY2tGPEyoKIcuKJUSKDpCiLcmE3JrrdV6d9m2019gSUutlQbYHRoVCAvIKw3j8hQYAwDfmCyiO7aPSeJ3tfcgxCRoY5TxmwSzIbqQ224TWbfmpktt0Lclu0wOmJZkMUxVZ+4rmAUgAxLA2kWFLlslGAnIcgpKAOnYapC//GfyGh8G//1eED76GyoOvoSJcDKn8KKgFVeCjLRBat4GTtB9mtXgs5FO+A65uOrj+BjMNm7T4oR5wuKr0LsnP9HGljx1D5mDhUQzDFUZtnc8dFseZT/ZzWWPbY1NsjRpbR3oULOPJTXXHkBFbskFuiq0+bLQptvpft76eY0s1q29vTEL3QAIlNrsjUVWN4CK4P8Dwgq9i63MN7GvT7LkTPPq7joQ+tslCjHiew/jyfOxu6cP+9n5XYtszkDAuWXLcuBRVc7tiHxZ5FIQF9MdldEUTTmLbrd27jPXpH6wtd3gee3v5Q6og80n2DhJDsL+kvprngKIwI7Y5QTKFVrXH0FrGORU0bbhk1kXa1TVD2ZRwcp2EdxqBD9v6sWhMEThOI5IyiDprvbEnSq29vjaZwuwWHEW/dxtm6VmrvzY0dqGxO4byfB5fmtoNROMO62kytRawElEvC/JgkFo/4pRMaaXXYye46ZBbt2nty3O73hRFBg9rHS4HAIKonQseph0ZMP8CQP9h8FCAUCmUk1dC/sTF4N/7C4Ttz4LrO4xQ82br/pZPgnLs56DO/Bx4pRfcQKuWgCzThNbdju5WX+sF63ze1vThetM17JBu654jvN0PQ+7hl4ZKt/sh4TDRhAxZUSH4/ealWWNrKrbWGlv7tik2tYgQpK5+bxtqTmGQVtt+q4CapvJqPnDIYLtyCL8b/fywgLKCEDr7E2jsHEBJrY3Y6uSzNG0brLPOlKi/3R6KbV9MQqtuh51Q6UVsh/fDBA3+ii2gEffdLX2eychE1S4MCwiL2v9H33R0F7gR7LL8EPrjMjqjcUyA9Rg36n11a0uc9c30Mobr9Z7MAp4M5HwNBysySaiuKAwn5S65wBFBbIMgOfm1hkW5kRX6Bp3TieBJYzrwS5TjvaZucDNqDAswz3OQjXVSbX9kxZPcusGrzpYXrCnL5K9drRVEs7Y2ryCEx17W1NpLjw8hX+qwpiDbrKf2/c8F0iG1QbfFYfFNEXZya122SW7p9TkIqy1Iym5J1rbNSpJN8itRVmTJJLiKDEC/AUsIUPtbweVJ4FUZan4x1BOvQeLkb4Nr2wl0NwLRdqCgEigZC5TVg1Oi4BM94GIdwECHS4sn6wMOsi++x4qQXq+kZJ/5/azB2fyRGt43G0nA8WmGRzHFVpIkvPzyy9i1axe+/OUvo7i4GA0NDSgpKUFRUdFQb96Ih6W+TVU9bzILqVqs/rjkHjoSqI8tTWzda2yLHP1N3WtsCcqJFXmoamwNCdmu2KpQDdaWmmJrPnAYnl98yW70a0vyNGLbFcUxtcWWcZ0eVuTgNljo8wVXbElKcFlByLMdUBD3wlAjSNuZ+nL/ZGSzvtasd01VNXd7uFCSH0JD14DjHKiqiiad2CZTbIfr9Z6sf3AykOM7HKzI7X3a/WdloTPIazAwYomtW+9aRQ3WlzZbsNhKje2Stao1vc52Tlk38sUKdA1IaI4mUCUKVjsyrKotqbelya2xfxYF1yc4yqWu1h4YRdRaum/tR+192NHah4IQh0uOajNTkBWqptJG4IkNmXy2JyFnotamSmozS9x1V+bt6/VKTibL8KuldRvmZnd2S1ymU5KNcUSttdfbAoBCLVOvieXkODipH6pYAFXIA0qroJbWavsNjbByscPg5BgQ7wL6W6kU7Jj53vaAw3Fu5fRrbYPM5/WsJ/Xgt5Qm91/W8PytZEiCffv2YdmyZdi/fz9isRg+9alPobi4GHfccQdisRjWrFkz1Js44sHbiKxbQinPcYiIPAT9gW9/XPYgtkFqbOlx1v+YvbY+tt6pyGRRumKr1wn2x2XEJBkRcZCdDl7tfoD0+9imN9ugIVmtZ11ZPrY19RhKHY2uqJVYpUyqXIKrkgWIERvyRA8bMuCfED5cEKTtzAQjGTnqOr7THt6F1Ouc3ezgXuege0AyWjzVutXY0t9BgdY++DDCo9JMOfdSbIeCyLf1ac6FikJnkNdggD2uzwFUcuOvSAipMcyq1n4Ed3cNWAilV0IygVsNbdI0ZFtdrR2cZZ1m/9pQSEBzfxxLplXgy8cXoozrMVOQVac660dA/rt5IdYcXuB7jMxlaQTpt52L8ev2xb7T5orUZrIcv6RkN8KeLCjLr7etZ0oy3d/WTVUlNuKBDmCgDVy8E3y8C1y8C3yiE3yiU3sf7wIX7wQG2kylVpVMxZ5W7j321U3JZ3W0g4B0etima18eRbj22msxf/58dHR0ID/ftLCdd955WLdu3RBu2eiBN82kCaR281mYpFdloBpbHysyadeTvI+tlVQV54nGtEOSjGzwees9gaKqUIkXOeUaW3MZwxleWgVR5ho7reQqISvG9WPWd2rjAodHudCfkiSpyPva+gAAEyoLPZeb6nYMBYK0namv0L4rvRVb7RjRxNZYXOAaW6cV3Uymtv4fJGpteUEIeSH337ThfuzN457e/IS8O2tsM9mq9NCmW5ErXRKqBwNHHLHN9jVtV6kcLU0UGXOqtWE7O6MWQguYRJOGVXFNVlvrTmrp8bRaS9ZJJyHzPAcpxOPel3bh9V0duGKWYtZTutRUGrumuIdG8ZyKBw8vwq9bFlqPkQfB+W3nYqzpPAM8Z54cv161dmSbOPmRMddWPSlsa+BlOghiklY5BsmlSa1kVdxJS6Bom0ZwYx0ayZV6wSW6gViHVk8b7zFJrUzVWNPbYFPt3TAcCO1wTp/MJlROSPt1JOPVV1/FDTfcgHDY+gM8adIkHDp0aIi2anSBvkF23lRaa1mJktrvmYzsIqU5YPE+G2+jcRkxSftCKNeVBK9AG7suzPOccVPdNRQBUl6pyCrMdj8p19gOfu1bKrDXOdtBiG2DTbGlHzyU5JEHGKkppe5qoXbNeFmR97UnV2xHUh9bnyYcZi/bJDW2ZQW0Ypue9d2impOWPzZi29ilPdyoLXXvHwxQ3wrD9OAbxyXD/5Z255q9r+1ggCi2Y4qYFTknIEnH3uOD25edCbbuh88SICXHMbu0C0ApdnZGjX6xphUZUHmXZGRLCyD9C0FRLZ9p2EmtXQGma3vt/WvFsIB3mrohq8CUChG1YjvQH7OSJaqmMllo1NXVGwBVwYMtJ0FVVayoeM15fKCRNUJqv1b6Aq4sfcnz2A8FefKyFnulJbvN5xYkZf+bbH1u09HgAMqSLGgElIc1RAphAPo5JdOgB+BF7XuekFbdQm+QWposU3XWrknIw4DIpgMvC7OqDx8RNmOOS7PGdnjf3OYaiqJAdnkwdfDgQRQXF7vMwZAy3HkmAGddGSG2SRXboFZkSsXs0FWkkGAqw16qpaHYUr+h5QVhdPYnhqjO1mnBJtuYrhV5uCu2yTaLJCMTUkNAiGdxngiR3Belqti6qIXVxXqLoR73FkO7DvcCAKZUeSu25nYE2owhgcmvvP+PTdRV6fa+OLr6nQnFrT3eVtSgu+72YKPUaLtlVc0bOr3rawl4joOiqsP22JPNSreckjyIsCu2Q1HP3UaFRw0FBkWxffDBBzFp0iTk5eVh4cKF2LBhw2CsNidI6eZdV7lmlWpPtfZ3RvVaSc6h3NKgA6Dsw/1IrfuyeIsqTKu1hOjm5Yfwxr4OAMDSKaKm2BGFjrKeAt5WWxqqIuNrVW/h62New3+3noyH2k50nY6Q2qvL1llIrV0BHc6KIEGmqq3bsuzkUVWk5GnQtCVZW5hVuSW2ZfJZipmKrNGnVjIfZBC1nia+LteDahuWiW1cUVQH2UzRZWeQ0iMGg2hFHk3f52eeeSbuu+8+4zPHcejt7cVNN92Ec845Z+g2bBTBL7jFTiAI4fRs+ePR9sYCjxpbEmhSXhA2lDOvOlM38cRo+dM3BMnILhZsso2GYptmeNQw5bVJFVtTNbQS2y6j1Y+LDTYg3Oy4NSUaaWrviyMmOX/DdrVoxPaoau/AObPGdpgedJg2bL9jVhQRUaeTyB2Hexzjm7pJQrFJNFNNhHY7RF4BXsQSXV/uo9iS/ybDVLJNdr0ngxkeZf0eSDV7JBto6xvlVuTHH38cq1atwk033YR33nkHs2fPxllnnYXDhw/nbJ25th+agUjWukK3IB2oMuoK4sgTOUiKira4ZJBLAr9+u36k1T7enoJMg7Yi08Sa4zmoAvDmXo3YnjlB0oiOaidI3iTWS8G9asx6XFP5Cn7Vdioeal1kTA8Av+k4xSS1Zf/x3Uev9Q4GUrEkp7Nce2ucZDW4bvM7am2NiSjF3fKZIrfkPNuJLzn3dH215zZQtcQ+qcf2+uGRhqH4gQgK0sc2nVcqGIrv81zi7rvvxuuvv44ZM2ZgYGAAX/7ylw0b8h133DHUmzcq4Jeuag9pIoFR3QNeqmgQKzJMAuii2NIqgkE0bDe7ZqsZZ3DNkCi2LmlG5kOCNK3II0Sx9TrVE/WWOoc6o0jI5nk2E5Gd5znVGlt63eUFIYT1+60Wm2rb2R83WpxMrfImtsM9sAsw75+TEayjajRHyw5dqabR1K0dnxpKQTX3PfvhUcQS7V/fnBqxHnQE/GrzAqERdsVWHpIaW+38D1Uqcs6J7T333IMVK1bg8ssvx4wZM7BmzRoUFBTg4YcfzvWqHcjljaldsdJWqBEJXolhSpl21TX0xqy1rjbrsNmax1k7a4cfqXWrraWno0OjPm7tR39CRnWhgFllPSbJofcDVhKbrNaUjL+q8g2N3LYvxm/aTwagk9qO0wxS65eEnCmBtG93OmFG6ZCwIKnPvvP7kMBkJNih2gLWUCmSbqxKeu2t/t5Cam1/DXLsbkMOCvv5HIkE90jGcPo+zwbGjx+P9957Dz/4wQ/wne98B3PnzsXPfvYzbN68GdXV1UO9eaMCgRRb/TOpfe3wqmMNEh5FL5FaH63YGlORm13bw3A3UlWhz0dsdoMKN8VW/6tkmoqc4ablCslCjKqLI8gL8ZAVFYeodF5y7bi13AlcY2uUNFMCBMehukS7UW/uthLbnTq5qyvNs7StsmO4t1gC6Ic6/tNN05XpHc1OYtvc5a3YBu4l7LId5P9um801sa9dD+7yq2+2LXe4IVkKeDKQa8vZ7ufIU2xzWmMbj8exadMmrF692hjG8zyWLl2K9evXO6aPxWKIxcwvjO7u7lxuXlJ41TymDEXG1HLgo1agsS+OWeUFWh/bFO7pkym3QcBRpJb8FcMCPtqvWUkWjhfBS/0gic4WQpMBAbmq8g1AVfGr9sX4bftJSEBMW6kFUiCHAeywmZxfe62tX1/bbMGtP651AgmArdWPWb6tgW4X5JifsiAbnyXP6RXFm4CbDxK81X6GLCHdhGN9Hvt3bSQSQSRifdqa6vf5SIEoirj44ouHejNGLazhUdZxdvJS7lFD55ghWcIKx+u/X04lr7yQsqiSxdpmd1OLSBuRpi73Fie5hXO/yY1w+jW2w9sW69bHlAbHcZhQUYCPm3uxr70fk8Zoal2zboOtKcmzTAukQKrIfLbhNSV5ONgRNdZBQIgtUTG9QJY3nIlt0FpPg9i6WJGbe3Ri66bYBnyU4vZgw/w/aD3++0mrpUq/4C7rcocbzM1K04qszzbU7X5UVcVh/cFP1WgMj2ptbYUsy6ipqbEMr6mpwbZt2xzT33777bjllltyuUmDBlWRwammlbOuUAbAoTMug+fM+lZVf9EXI8/zUBSzl20yuKm1XtPYWw2FwgK26U/cZldDU+8AqwXVw4YcFKoiY0XFawapDUFKm9Smss6g0wUht+k85PAKkfKaLllPW69+uARaiJRgElAeAEST3AqCSVLJcxJChugHGG5E1k2h9yG1wxnD9UYuE6gqZ7b9SHE+AKivr7cMv+mmm3DzzTdbhqX6fT4S8Ic//MF3/CWXXDJIW3JkwP5/z15XRpJnOzyJbUDF1qW3iJti6x0q5CRVRnsZl76pOUcuamxtyxlusNvU3TCholAjtm19AKoAAA16+5+6MlotJMsMaoN1V89qDMXWeg1sbdQeDB7tU1+rLW941zUD5v/RZMrhNJ3Eb2uyEtuBhGw8RHJ7uBC0VNDtwQb5P9jcPQBZUSHwHDr74+ge0O5Z6stHbg/hjBVb/e9Qt/tp7Y0jmpDBcVqv6aHAsEpFXr16NVatWmV87u7udtxwDTcEIjyqjDHhOIAIumKSa02tlpBspiIHhXcAlWlDpnvXWtbHcxAEDnv0+oRjK1RHOJBXcJTbZ69hAPCb9pMNUpuAiN92LnbYkIMgyPTpLDMrynyKyGS9iiKDRwDFWZEAQqhV2SSyiqyRYK8aWtXjvUdYFMPQQlXVtAg7mefAgQMoKSkxhtvV2tGKa6+91vI5kUigv78f4XAYBQUFjNhmAb6Krf6XTEIUW08rcq5qbFUVePdRoHgsMPU0VyuymcI7lMTW3CCyjWqaNbaphvkMNtysqHZM0hW6va1m2xlyfsZSrV9IsE7QXVU9SDUhanYr8gcNGrGdOa7Ud7nkFmy4kiuAvh78/4/NGFsCntPqjZu7B6hjox3//JBgtFuilxZUsVVc/g9WFUXAcxp5a+uNobokD/t0tba6OIL8sPf9UKrrH2x4XXNBYT44sNXYDvJ/cBLkVVeaj7A4NB1lc0psx4wZA0EQ0NzcbBne3NyM2tpax/Ru9rehgqKoSXvIuoHUn1pOpyJjTDgGIIJOKhTD7wJOVbU153NfJk1uLZZkzuwDN7U0ASSo2kqX2lCyf/bgLDcYQVHtJ+NX7YtxdflLWFH+ql5jewYA4KslL5rTZ6G+Nl2SlS7JTMeOnGxdRjsgalkZk29VBiBQ1mTR3YpMB0bZbchq8nOe1qYxYpwxVDW9myUyT0lJiYXYuiHV7/ORgI6ODsewHTt24JprrsF3v/vdIdii0QePkGIAzno+oqZ6Jg8nSxQy12qdHqZiW2apsdX+FnTvBp6/RvvwvT2u4VG1Q6rYOtOgyQ26mqZiax6i4Xmj72YHt2OKHtS0s8Ws8ySK7VgXxTbovnqploS80XZ0WVHxkUFs/b9Dh3syL0BbgP2nyw8LOKq6CB839+L9g12omWG1CdeW5tlqlLW/qaYi08sQBR41JXlo7BpAQ9cAqkvy8HGzphj7tVnS9me4P8jR/qar2HqFRw32/++DHRqxHe+TUJ1r5JROh8NhzJs3D+vWrTOGKYqCdevWYdGiRblcddaR9s23TgwqIxqh7YwmLFZgv0RkgmRtgbT3qZ1KXrckdw1IRq/fylB2QjFoQvpQ24n4VftiXFPxH6wofxUAcGXpS7i6bB3WdJ6B33adlpV1DgaGCwHzqlkFYA38Mt67WYuT2Msz2Fclg3AphvRAFNt0XkExmr7P/TBt2jT87Gc/c6i5DOnBqtjab7q0v+TmtSyZYptKjS3gWmNbQdfY6uuN9B0y593yuGuNJbHVtfbGXNu95BZOYkvuXzOtsR22N/r6X78zPX2sbodtNDMCyIOHOlqxTfEQmeu2rn2iHk60u7XPGLantRfRhIz8kIDJY/ytyMM+mReptZ0hCvX7h7qMYURBHWezoaYcHuVRY22vdd+uW6Gn1/o/VBj+D3LI/qap2BrtfobWikzqnf2CvHKNnOvEq1atwm9+8xs88sgj2Lp1K6655hr09fXh8ssvz/Wqs4Z0kmwBWMhBRNCuLvvTFCAYuc0VumN6gmCeAIGT0yI0XsfnobYT8au2UzVSW/GaZdyVZf/B1WXr8OuupcOG3I50Mma2mKJIq+qyT6qN8BIkI7upbAPDqMRo+D4PAlEU0dDQMNSbMSrgI9g6VAqi2HqHR6VfY9uqt6Bwq7GN9FMuhHf/5KoWlheEENGtdc1dVitqTmG5EaetyNrwjGtsh6l6aKimPqf6GL3O83BPDG29MfTHJaMVDF1jm2oasVcyMKkr3dHcazjp3j2gkboZdSUQktzLpdp2aChgLw/ww/E6sX33QKcxbLuuoB5tC9Iya7pTsyLbCTaps23oHLCs75ha/+CuYf8gJ6gZxQNkPke7nyGyIg8lsc15je2FF16IlpYW3HjjjWhqasKcOXPw3HPPOQJIRjsEKrxgqIism/U5oV/0+SHOO/02SF2rjdQ/1LoIv2o7GddUvoIV5a+5znNl2X+gqip+3bUUAPDVoheSrochR6BTkBlGHDK1IgfFaPs+f+qppyyfVVVFY2MjHnjgAZx00klDtFWjC/TPjv2G3q5SlCcLj0q5xtZcn6HklTlrL/MGmsx5m97HmLENAEKW1XAch7Gledjb1o+Grigm+CSwZhU0YXWpV860xna4cizjRt9HwSqMiJhYWYB9bf3Y3tSDat0qXBwRjZ7I2jL0Zaa6btuqJ1UWICzwiCZkHOqMor6iAG/ubgMALJhckXS5wz2wC6Bt2MnvUxdMrgQAbNzbjoSsICTwhoJ6TK1VvTZ7RgfeEADOc2DWumuK7dbGYMTWXM7wPPipKOVu8KqxHWyFep9ObOtHM7EFgJUrV2LlypWDsaphA7tyZRLb7Cw/nfpfOzSCnVkSmxseal2E/27VSO1VlW/4Pki+svQlANDIraJYam4ZBgF0uBTDiIWiqmmpAOnMM5q+z88991zLZ47jUFVVhdNPPx1333330GzUKAP9QNV+uZGP5PenTLcJDyQUDCRk5IVsuQJp9rHtjZlK3liqBQlRA/P6rXXj8/pfxz+wxHGTObGyEHvb+rHzcC9OmFKZZBtsaPkYKKsHQinWntEHjd4efXDaiu0wDzJSTGbri+m1xdjX1o8PGrowQc8wsd9Up6rWeZEMUeAxpaoQ25p68HFzD+orCrB+l0Zsg1wPvPG8ZZgedJjEKAi/ml5bjPKCEDr6E9hysAvzJpZTCqrNGkyJO4G2w0OxJbW025p6cLhnwHBi2BViO4a9Yqv/TVex9aqxHcz9Vah682QPGnKJoYmsOgLgFfSTrS+0VAKlvKAqKkL6N21MopaXYUKwrHL4+pjXtP61AXBl6Uv4WukLkNnlOPhgpHZUgCi26byOZCiKYnnJsoympiY8+uijGDt2bM7X/+CDD2LSpEnIy8vDwoULsWHDBt/p//rXv2L69OnIy8vDrFmz8Oyzz1rGq6qKG2+8EWPHjkV+fj6WLl2KHTt25HIXAsErvMce0lQcESHqE7uqtoFrbK1kjwQKleTZlTyi2OrEduwcAMAZvU9DgOy4yTx2rHazvpWq6QyENx4AHvwk8KsTgc79qc1rUWzpGlt7eFRq/5lTtecONtz6mLph/kRNKX1jVxve2d8JAJgzocwyjelMT/UYOYfRbW72tvbhUGcUIs9h/sTy5MvD8CZXAE2wguW/LJqqEfpXd7SgrTeGlh6NaE6r9lBsA4dHuT/YmD2+DADw3oFOvL6zFYCW0FwU8b+XGe5qeSpKuRvMPrbWB1yD+f97d2svemMS8kOC4/wPJhiTGCR0J7SrrjAsQh2ibzU3Ul0Q1i6BrgEFKufxxRCA6NJJwNdUvYGrxqxPaduuLH0JV5UwK/Kggia15D2X2UONoWibxKA9pEr3xTA0ePzxx7Fq1SrcdNNNeOeddzB79mycddZZOHz4sOv0b7zxBr70pS/hq1/9KjZv3oxzzz0X5557Lj744ANjmp///Of45S9/iTVr1uCtt95CYWEhzjrrLAwMDEGSLwXOw4Zot3xyHGe042ntcSO2zrY3HiskMwAADunEdpytzyWZLC+qW5FPuQ7Ir0Ct3IgLhZcdiz1WDytKidhu/xfw/A3a+/bdwJu/Cj4vAOtR41yHagPSrbEdngj4CAOnHD0GAPDm7ja8pduCPzHBSjJTTeT1C/IhBHbd1mY8sVkLHVs0tRKFSYgVvR3Dta4ZoJXSYNOfMV0rQ3li8yG8uE377jq6pshxPFK93rwU22NqixEReXQPSPjjm9pDolOmjUm6PPMaGJ7HPtMaW3KcHDW2g7i/pN585rgSiMLQ0Usm1wRA0Jt1R5sXar6umHaSi12+/JLdXGZDnfVCRb52ExGXVXTGBZSnQUw4XkgpNIjjRf9k3yHCSCFlnIfKamw//YDCjah6kVdezEqAFM8LkFmI1KBisGpsRwPoXunJcM899+RsO+655x6sWLHCCN5as2YNnnnmGTz88MO4/vrrHdP/4he/wLJly4w2RLfeeivWrl2LBx54AGvWrIGqqrjvvvtwww034HOf+xwA4A9/+ANqamrw5JNP4otf/GLO9sUVHXuB/1sJnHMXeA6QYb2ppB+00jevY8vycbgnhoauKGaNL7UtlNz9JQuPsqYiE8V2HBUoRK83P6ortpVHASd/B1j7I9ws/h47d5QB478ElIwDQvmGYru9qce9JaCqat+h0oBGYj/+N/DKXbDczncfQkpIotgqaeoTxBY7fG/0gylYx9QUo6o4gpaeGN47qN1Yz3UotuTBSrB99SMZy2bW4uanP8Q7+zsNhfjz88YHWq5hh02xM9NgIlXl8OxZtbjx/z7AvrZ+fPdvWwAAnz6+zjFdqjZsrwcbIYHHzHGl2LSvA5v2dQAATg5EbId3Tblpf09vfjKbs8Y2g41KEeR8EFV9qMCIbUAEJrf26XgR4AV0SRqBLIoIUBTVuPgyUUzoH1at5633D5xKevqQeVVtG0SOQ1VRGC29cezrDaM8z3MRgcHzQlo9aIc73K4BfriRYbI9vEC9FzUyS29rMgsyLwB0IBgvAHJw0pvqww4GhsHC5s2bA00XxIqXLuLxODZt2oTVq1cbw3iex9KlS7F+vbvbZf369Q5SftZZZ+HJJ58EAOzZswdNTU1YunSpMb60tBQLFy7E+vXrXYltLBZDLGYm/HZ3p2ix9cNzPwD2vgr890JsFXntbuMegHyLqOCwQ29bL95NjjWHvysqlIgK4W8c8A/bb5pB8pKdG338rxcDvIjPKyo+EwHE/QLw8zBQWA0oEn7dfgDtkQJEEhohWnj/++jEVNzNnYBPC29ixod3Ax+atdbTwGFXRCeTPxEAMQLUzgQatwBS1FM17Z1yDt4Mn4Cl227E5m27sOvm83E2XkeMy4McLkEFuiGoEqAqUFUFCUnWbkg5gIcKYp6efetaRJFHDiD9B9j2DHBrlfvhcLm7fUJRgYgKPAq4NVe6VL4BG3Gs5xHONeKSdiyTi/McvvjJetz/4k4AWg3mlDHWnqZkER8c6sbRN/wr6brNOlPnymtK8rBgUgXe2tMOAKgqjuDMGcH6eJPFfdQYbDuGAiRFN+i3X0FYxBfm1+P3b+w1hn36eGcZB1G/X9vZGmjfje1we7hwXK1Bouor8lMK7vrcg6/l9Ls9XZDrPfiRt0Hfpwde2mkZ/NAru7Fxbzv2t0fRM5BAWOBx67kzce7ccQC0Bw3PvN+Iv248iK2N3YhJCvJDAqZWF2JOfRlOn16NOfXlSRO/E7KC5z/UnC9BHjTkEozYeiCTcCY3stMa14htMWVF9ntypeiP9FJVa+1PkRVF1Z7nGgTYtB+qigpJVjC5sgAtvXFs7xQxZ6xgkiBV1FJyZZOocLwAHoACGJ+9CEwQckNPwwmCJV3ZjSAnW2a6hCpbaq1DtU9jXWQ8vSz7PDwvpLfNnGCSWq/5FWjnnRO0YgVyTjgRgP85TweMBGcOFenVbQ3Th9c5xUsvvTTUm4DW1lbIsuxIk66pqcG2bdtc52lqanKdvqmpyRhPhnlNY8ftt9+OW265Ja19SIrldwNKAtjxPEQuiURFjRYB7d5OhSbzumH8PP/ljf8k8PG/ADkGyDFEAEQ4fXn9APo1y2oegDrOtGlHJQ4xAN/ESrzJHY8bxr6NvPaPgYTWt5SDCoEDBOit8eJxYL/7gwglvwKNkSn439hirPnoEziJ/wBLw0Ce1IWzuR0o5GIoVAeAWKdlPg5AmLyhsE2pR7ckQoX1WCaqZgE9YUCOa6+ACLmsg4YsK4inaG/ONooiIo4KUKu38vSj8Nbuduxr78Oai+c5iMvRNcUoDAvoi8sUgUiOOfVlrsNvP38WvvHoZjR2RfGbS+YjPxzst3hadXrbMRSY7bHvbrj+7OnYebgXm/d34AfLj8WUKuc5O3ZsCSIij5ikZHwOrjh5Mt7a04bXd7bhvgvnICImP/5zJ5Th3x82IyGrGK6/fFXFEUubqlTwiQlleO9Ap3EfEBZ4JBQFqgrDWQAAMUnB8x814dy545CQFVz72GY8+77196ErmkBT9wBe39mGB1/ahYrCMM6dMw4XfrLeMxTqtR2taOuLo7IwjJOPYsR2RCMQueAE7OvRDnVtkfaI2q7UqoqqB5hkRmTN4Qp48JbWQoqiQhA4g9xqyjEwvboIG/Z1YkMjhwvHCZ6Ex05A3AhJ0GG5ROrW6Nyrrm724SDrzXjbiFoLWC3IvMsw0uqHF/UbTZmaRjbnsz3QYMR06KGqalrBdMM5nZMh91i9erVFBe7u7kZ9fX12Fl4yFrjor0BfKxQpjsM9br1fVVQWhhGi6rH+8vZ+3LP2Y5w2vRq3nzfLOQvHAcVJgr2++CjQ06ApqIqMyx9+C3vbenHbuTOwaHI50LEPCOUB/7oeaNlqzPbvVadDDWtqX0n+2ciLiJraGesG5ASgKvjHpgP42b+24jvlr+FL0T+b61z2M2DW/0Nrv4T/3XAID7/dgp4OTZ8OCRymTpgANAJTC2MQ4wBkYONJD+GpD1rw5mERE2sr8dAln8QrO9qw+h8f4KiaYly/bDra++OoLs5D8ZhxeN3ld6SmJA+IXwDEeryPh4tCpaoqWnvjkD2+Au7NK9cU6SFEWUEIBeHkt6kRUcBjV50AWVUt1xJBXVk+3r5hKTr73bRpd4gCh+pid5IxpaoIz37rZCRkFWExuBW8tjQv5e0YCoRFHmOKgp/7vJCA//3qAkiK+/EHtNrYTT/6FLqjwffdazsEnsNDX5mvqYsBHyqsuXgemroHhq0VGQAqCsPOJPiAuOkzx+HqxVMhKyo4DqgtyUNLbww7D/eipSeGyWMK8eqOVtz57+06udfU3Gffb0JY4PG1xVNwxrE1KIqI6B5IYEdzD17d0Yr/fNyC9r44Hn59Dx5+fQ/m1JfhC/PHY/mssSjT27MlZAV3PKc9kP3M7Lohra8FGLHNGThe0BQuXf3c280DUFGdFzJrYwxyaUuK9FFrFVkBb7toCLkldmQ3sqsoKgSeM5u66+Q2EZfxiXGl+MPbB/HGQQnqCQXgElEr4dGVukwxmAQo6LrStphncR4yXTJbs9vyOF255Yj1mBNNG7IbkdWt8Z61tzzMvsW8oBNcySC0ju2hyC3g7Gc8HMFx3KgjdKzGNn1s3LgRf/nLX7B//37E41bF6x//+EdO1jlmzBgIgoDmZmubmebmZtTWutsaa2trfacnf5ubmy2Jzs3NzZgzZ47rMiORCCKRHJOXwjHgAdTay2U9UFbLowlt+LC3CCgdl946eR4o1eoeBxIyXmnfClktxqTpc4HSfKBat9iOmWYhtmPLC53teDgOyDM3/pRPlOJ7/27G5u4ifMkMWEaLlI/7nm/AXzcdNBSpqVWFuPKUKThn5liUJpqBe4FwrANEMZq/8BRMXlSJv/38JXzcKOPVlkJECyJoQBPG5ZdjxrEzgu1vXon2SgEcgKqA52QkgOc58D4SdEFYDESSg4LjOITF1J192d6O4QKO4xAS/I9HUURMml4cFDzPBSa1APQ+1Cm22hphqCmxPoipLs6zPJzZpvcYlhUV/XEJ97+oJebffv4sXGCrE//EhHJc+MkJSMgKXt3RgsffPoB1Ww/j3QOdePdAJ25+6kMsProKR9cU4/WdrdjW1IOyghC+efpROd7L5GCpyD7IipKnk419WgkPagpChlqaChRZgSIrjvfGeIUQVutwel20BVlVtL6XsWgC08cUIixwaO5VsCdarBMjnZQTAkTssT7HhLbOJidpHgFIWbDy0tMle2UC+z5mdds9bMgcL6ZW18tRJJcmtYT8ChHzZRlHKb026zK9PX7bYh7nJGFXDBmDKLbpvI5kPPbYYzjxxBOxdetWPPHEE0gkEvjwww/x4osvorQ0d3f94XAY8+bNw7p164xhiqJg3bp1WLRokes8ixYtskwPAGvXrjWmnzx5Mmpray3TdHd346233vJc5nDEuHLt5pMEPmWKnYd7ISsqygpCqLXd+DncSQHan1UVR3DZiZPMNjs6bnt2G/701n7EJQVzJ5Thoa/Mw9rvLMaXFkxAaUEIyNfrAJWEGdLHCagsiuCcWdqDiI37OkB+2odjHSADA8PIBWmllpAVvLW7HQMJBePL83H+J7wfIIYEHqdPr8GvvzIf61efgR+cMx3Hji1BQlbxwtbD+O+Xd+G9g10oDAv4xRfnojIFpT9XGH2PjWCmrzmHZ+eHwu1m3ko+KDLICWgeCKNjQAXPQVNsE7J2U0m13CA2ZLtaayewNNzUW2OcogIwA6VIeJSiqOA4FQJM0suDw/F1Jdh4oAsvHgxjykSK+KiiERxkr7OV9R/nTJVYv/mHQxBVpmqtF7HLBA5i7qbWWoisjdSSaWkogFFAzUO7+SKqLbEjZ1BnywnkupEt19JIsTHz+v+f4Qim2KaH2267Dffeey++8Y1voLi4GL/4xS8wefJkfO1rX8t5H9tVq1bh0ksvxfz587FgwQLcd9996OvrM1KSL7nkEowbNw633347AODaa6/F4sWLcffdd2P58uV47LHHsHHjRjz00EMANCL07W9/Gz/5yU8wbdo0TJ48GT/60Y9QV1eHc889N6f7kk2ML9Na8rT2xtEzkLD0nU0HHzVogVgzxpY4yaL9uzlgu7Nrl07Dw9uLAMr9q3IcTp9eja+dOgULJlc41xUuAEIFQKKfWr+2vul63dqO5h6j/6PAiC0DA0MWQSzCkqzilR0tAIBTplUFfohWVRzBVadOxVWnTsW2pm68tK0FjV1R1JTk4bOz61BfUZB8IYOAUUlsBwuEsBhhPxTZoEnHlk7tZE8sL0CI5xAL2N7Hj9Qa01Lk1m5JdlsuDwCC9p7TSXU8JmPx1EpsPNCFJ7YDVx5VAMR7ktqRyf77ERQ7gckWkRksQuRFajNNQ7ZfJ7zLdeP13r4cxzhCZGnF1Y3U0mq8IgOCAKgCgJhObm21tmQ6W52t1r6JCgDzuQ4GCxzPsR6tDEmxa9cuLF++HICmovb19YHjOHznO9/B6aefnrtgJQAXXnghWlpacOONN6KpqQlz5szBc889Z4Q/7d+/3/I9fuKJJ+LRRx/FDTfcgB/84AeYNm0annzyScycOdOY5nvf+x76+vpw1VVXobOzEyeffDKee+455OVlIe5+kFBaEEJdaR4augbwUUM3Fk6pzGh5b+7RgqJmjXNR4O1E1qezAI3ivBC+ftpRwFPmsJs+MwvlJ3zSf8aCSqDLSWyPrtGI7fbmHiybqVnKk6WQMjAwMKSCEE963SpYv0v7XgzSA9gN02tLML02tfKHwcKoJ7bZ/m1ISb3jBUCM4L1O7eQfVZ4PWVYstbWKEiw0ym280epHJ8C8wFvILZHfePCGCAe9zpYoxbKkIBZN4OSJFfilsAdbWyV81FeJGUKnlrBIyJBOaIxaSq8kZMEcn0xt9epnGyQdWZs/t2QpFVI7mDZkt4cnFrVWW4hpNSYklrwXwhppFcLmjZ2qp3zKesALZzuuqqyTXad6T0guAJuin15aNk8leJvzeHbSyBkIOea59BKHBxOKqqbVj3K49rAcLJSXl6OnR5Pdxo0bhw8++ACzZs1CZ2cn+vv7k8ydOVauXImVK1e6jnv55Zcdw77whS/gC1/4gufyOI7Dj3/8Y/z4xz/O1iYOCY4bV4qGrgG8f6grI2IrKype2nYYALDkmGrnBLRim6KzJiRYpy8vDCefKb8c6DpgfuasxHZfWz+icf0hIeO1DAwMWYRgEFsVBzu0Uo/pHinHIxlHfI1t0CbUQFAFTaSCfLTXe22alWpySZ7FfmxXlGiCa9TT+tTjBrVF0nW3dlItywpkSUEEHJboEd1/2RHWyQ9ta7XVkyaxY/sNT2VeAi+FNFd1mqks105qk9mQs6HWWpZhs747FVqd1Ar6eQ0VAJEycHnlQKRMe+VVAnllQLjYnI4mwZblip7bNRKRrRKFoYSqpP86knHqqadi7dq1ADTSeO2112LFihX40pe+hDPOOGOIt+7IBVFXPzjUldFy3t7bjo7+BErzQ5g/qdw5Aa3QBrQhm9Pz/p/dUGAj6fp3aE1JBCV5ImRFxc7DvQCYYsvAwJBdkMTq3gEJvTFNVBpTPPQ1sdnGqFds7cj2U1C656hTQRMRRwTvNGkEdFpZvoOoutklaVKbDGQanucMW7JdteV15YmotqqiQuXNlj+ypGAgmsDZx1Zj7fYW/P2jOL49PQ9lQhiQYhqhUWVAEcHxsqG28bxg6aiXXiugYKqtH3LRV9UL6VqQMyWBdrXWWKa9XpYO/SLvCakVIxpxDRVBFfKg8iHrzZiSAMeHteljnXr7n5hmT6ZrbXndskzUWf06GOo2T27geUA5Asgba/eTHh544AEMDGh9TH/4wx8iFArhjTfewAUXXIAbbrhhiLfuyAUhtu8e6ISqqmkHKT30ym4AwJkzatzbkGSg2DpuJoIQ23wbuSblTByHurJ8dDf1GG2RUnnozsDAwJAMop5a3dil/eZFRB7FWUqpHk4YsXvkVgozVD8EjnRcSul8r7MIUQkozRNRVxBGfECCqjptyMZfF1JrTzq2rttWX2sjt+ayTEsyp9fXAgo4iQPPc5DiMmaOKcS0qkLsaOnDH3ZX41tH9QFi3GpJVv3tyPa2L8RGnE4PXDdLsrY/PuvNMMTKD0EsyJmqtfQDEq9UYUtdLW1BFiI6kaWsxqEC829+NVSxAKoQQYIrwJZmGXs6EuiNKygKc5g+pgDHlBchHIqCCxUBfY1AQl+PQkiu9SGH13bRPW61z86HF24IQoazRVZHE+ll4VHpoaKiwnjP8zyuv/76IdwaBoJ5k8oRFnnsbevH1sYezKhLvZbric0H8eK2wxB4TquHdYNbS7SgSIfYCja7MrX+Qv0Gs3tA6/PJiC0DA0M2Iep8wVBriyKjMn19xBLbbCMdO6KbxdaiqvEC1rdpT57n1JVQCchWK7K9xjYoqSXj/cgtnYxMYGwHYFFto30SLvrEONz874/x+/dVfPWoAhQKMe3HWJW1l2wNhCIhuuayM1NtgxEb79pd+pwEJblB1NRMSG2mtbVk/Y5WRRaHAGU9JqSWKLV55UC4FEqkHB+2iXjknR48v6MFvTHn8aksEPGFWUW4fHYxqgpkoP+wWX+rSOaNmF21hZmSbWy/5VoQfc9Huuoux5nkbChTi4e6Dpcptulh6dKluPjii3H++eejpGR4BmEciSjJC+H0Y6rx3IdNeGLzQcyoc/ZzVVUVu1r68HFzD9r74ugZkBCNS+iPy9jd2ocX9draK0+ZjMljCt1XZFFsM7UiB7iHsD/s5J3EtmdA+x71aHjAwMDAkBZEW5/hqlFoQwaOEGKbjLT6PWh163nqFhTkIC+6gvZaUz4ABceWF0KWFIPUmn1nKRIr2wmue69a+/6Q6Xied5Bbc7wZJEXa/vD6MmVJAc9ziMcknDC+DBPL87GvI4rf76rGN6b2A3zUJE6cCPDJiQitttqJaCoJyalYkh3zZqkGNN2wKMc8adTW+vatpdVaUv9q1NLqf/PHQI2UY19fHn72Qh+e/7jHmL00X8SM2mIUR0R0RhPY1tyLtn4Ja97qxKPv8vjuSYX48tFV4AixJQ83qNY/HG9NR6at6l77D0rNTfYgRDtOg0NYh5qcMgw+jjvuOKxevRpf//rXsXz5clx88cU455xzEApl1mKGIXOc/4lxeO7DJjyyfh8+fXwdjh9fin1t/Vi/uw3rd7Vh/e42tOi2XS9cumgivn/WdO8J7A8HU0E6NbaW9fEWMlwU0cZ1R5liy8DAkH2INu4wZhj0nM0FRi2x5TIIXvAjwiYZMQN0OGoYZ5CLCNqlfLzTpJHOWZUFkBOKkYps9q61WpABZ9iTHfZhpuVYcZBbUmNLk1tO4QylVSaJyrodua8rhkvmjcetL+zArzYDX5gyBtVCv6bWqaTVCwxCA2OpVqgu5MVPwfVTbY2k5YC25GzBM7DKR6nVPjvVWtckY3q4YCe0zuksD1lIwrEbmSX248IaSHk1eOR9FXf+pw1xWUv4/dQxVfj87LE4tqbYcvOkqCre2NeBh9/cj23NvfjRiz147UA+7lxSjyJlj7kxxjGP6+2BrAqtcV0o7rW3dE1uMgs5I5vBoKjpHacj/dj+4he/wL333osXXngBjz76KC655BIIgoDPf/7zuOiii7B48eKh3sQjFp+aUYMlx1Th5e0t+NyDr6M4IqInZi1pCIs8jqsrQVVRBMV5IRRGBOSHBVQUhHHa9GojbdgT9Pdsyv3G07Ai0+uwEenCsM2KzMKjGBgYsgh7zgBTbI8A0L8jqSb3OlJqOQEvN5dBUYEpFQWoCIvoi8UoO7KzxQ+ptaU/B4G1ntab3BK4BUnJkgJZ1BKST6grxay6Yrzf0IO73ivFz+cUmGqdIoEQGsvxcCGsgHetbTYsyfRys41ckFqv5ZNlOpwBVGCUqwXZUldLkdtQAbjCGjTGS/Hd/+vH63v7AAALJpbh2lOnYEJZvtbmKSbrtZlaOIvAczihvgwnTizHEx804Zcv78a/d0SxrzOER5bVoEpoAFTJak1XRONc8bwANaD9fDhjKC3N6YJZkdMHz/M488wzceaZZ2LNmjV4+umn8dOf/hT/8z//AzlNtwhD5uA4Dvf8vzn43t/ewwtbD6MnJiEkcJhbX44TplZi0ZRKzJ1QhrxQBs6cjGps7UQ2iBXZe312KzJTbBkYGLIJe9I6I7ajCP6KrDkumZXVqw6StElZ26g9LZ5fW4xEQraERgGwqLVuJNd8Hyw8imy/F7kFrJZkOkiK4zRym+BlDPQn8I2TJuPqv27B37dKuGhyCWYXxbKakGw/jqaq66/cutmSs6ne+qUeJ7MfJ6urTdWC7LocntjBiTVcMNvzCBEglA8UjsVLTcVY9a9udA7IiIg8rl08BcunV0GSVESjEuIxGbKkGHXeHK+FiIXzRIgih8/NqMHMscX4ryc/wraWOL74tIjHzi5HlSBbrekU4bYr83YVN2iAlLGrLgST57gjvveqG1h4VOZoamrCY489hj/+8Y/YsmULFixYMNSbdMSjojCM3176SbT0xNAVjWN8eUFmRNaOrNbYpqjY2hTiIp3Y9ut9bAXGaxkYGLKIkL3GtihA7+0RiBETTzCcXDm0ssbzgpFkawznBMS4PLzamA8AmDOmSFNEdSJhqbGlSK2ZkEx/Th4e5abykmH2UCo6hZlsiywpRj9bWVIQH5AwPi+MZdOroAK4/q1KxLkC0+JqhBRZ95u3ETJOPzbksyMB2JPYeRNEThA8CSavr4On1pUMQedxU2qDbHOQFGT7MsmyaLWWF8PgxLBGasWw1XosRvTetMVQiydizYcluPLJDnQOyJheXYTf/L/jcebUMejujKOrYwBd7VH098QQiyYwoL+ifXFE++Lo7oiisy2Kro4YJhTl4b8vmIWxJRHs6VRwxbpS9IqVGnkOFVjs0PZtt+8vOUaZ1D0HuW/0wmhXP7SetGoar6He8qFFd3c3fve73+FTn/oU6uvr8atf/Qqf/exnsWPHDrz55ptDvXkMOqqKIziquji7pBbIsMY2HSuy9/oKbW03mBWZgYEhmxBtQbIl+aMzS2LEKbZD9WUf2Jqs20PXt1egXwIqC0KYUBTGQF/C1uInWVAURVZlb1mFF0wLMmALkKKUW8CalGyvt1UVFbJstv+J9sXx1fn1WL+vA9vbJDy0uw4rjzqgtf4hyqgig7R88VNo3YKk3CzJQZVb+zI9j00GJIpej2NYAPsx/T5ZXa1bQBmdrm0Mp5VamtSK2kOHgbxxuP4lEU9tawcAfHZmDb6xaBIUSUV354Dl4Yqb6inLGgHkdKVUUVRUFIVw77nH4et/ex8fHk7g6y+X4bcndiIsyIAc07ZDioPUXLvZkV1rppMo+DzkpHbg4WAZHi41wGqaNbZHumJbU1OD8vJyXHjhhbj99tsxf/78od4khsGEjzU4KRyKbZD10YqtdX4SHmWMHuUP4xgYGAYX9lTkiDhitM2UMCr2yq2nbTbn8UtEppUqjrKJ/uuQ1uZnfm0J5ISi1cBRai1tQabVVVqBVWTVl9S6TWNXai3Llp3yjGV7iHorKZDiMoS4gm+eNBkAcP87PHb0FZu2V5LC66Ha2ska3Z81G8qtscw00omDwGvZqZJaGq7pyi7L86yr5QXrsTdIbT46QvW4+J8cntrWD4EDVi2Zgm+dOAkDvQn0dg1AisuQ4rKmzFPqPDnXxmd9vBSXEYsm0N0xgPJQCHd97jjkhwS8dkDCDzfXQeUjZn0vdR2QfSBqvRe5t7TFgvu1kAroB15M6GAIiqeeegoHDx7EvffeaSPf4wAAlL5JREFUy0jtkQhLjW2Kz/mzbEW2K7YCI7YMDAxZhF2xDTNiO7LhpvQGeSJqV9G0YaLjppyur43xhfj3wQIAwMKaYoM0OIiri00YcCe0psqrwM2iTM9jSVu2E2eZ3g7TkkwTm0RcRiIhI9afwLyKQpw0uRwJGfj2G1WICcUaoaLrOu0kjDoubsOsxzI1cutHcLNBcv0IbTqk1m1/je11EFgPUqunbBvHW9StwOFiIK8M+7ip+PwTCt5piKEoIuDnn56BpRMr0dU+gGhfHPGYhHhMQiKhkduETmQNsku9T5C/CVmbb0BCd0cUY/PC+Ok5x4DngL9/zOPxhnpt/YY9XbQcI7td3xxmvXmzz+MF+//fdB5mjWaQ8Kh0XkcyPvWpTzn6fDMcQfBJKU6OLKciO6zIKW4OAwMDgw/sim04R8LQUIN9dWYAUl8LUDfoQhivtVaiOwaMKQhhSnHE1uJHtainNMEE4FBf/eps3cZ7qbdByK3xUlULyf3WSZNRlh/C1lYZd35Yq6mEhGzpKrVXrS2Bvd7WPs4+3Ivcus1vGZciyaWn95rHjdBmQmrdpvMltYZiK1rtx+FivNtfjwv+HsOe9jhqiyO4/9yZOKooD309MY2kJmSLOku/FN1+Tl60Yk8/6JDiMnq7BnBsRRG+duIkAMDN60P4oLuYItth4wGHW+LzUCCTll/ZwGCuXoUZIJXSa/A2kYFh+CEjK7L9P3iA//A+KcxFdmLLFFsGBoYsIsQU25EJ+rwFubEkD1ntrX481UGPYRxFPp4+qNmQF40vgyqrjr61gDXIyQ3JQqP8prert+7TOMmt3Y5MlNtQXMH1p08FADz8gYiXW/UAIUK8KFLjZUk2jpVLmJT9WLq/91b6vGAnrW4v3/mTqLT+2+uuTNPv7UqtY730y1FTm4+1rePw5Sf60d4v4+jqQvzic8ehghcQiyY0BdaN1MqaLZ4ms8Z5p8fZrgFCbj97TDVOPaoScRn4xutV6EGhGShmecAhOvbTsn9ZJLz0/V+yGnzy/cCNspvG9IKjVCMVm4HhiMSgpyJ7E1uHFZnVVDAwMGQRgl2xHaXEdsSFR+UC5GbY76bYrrbZLaREXYuiAC8c0tKQF1QVWciFtbbWSjjdiWjwm04SFqW911sAySp4gQwnF7Dbe73XrU5qIfKQdUU5PiCB5zgcXZiHC46vxd+3NGHV62V46hwJ48MyEO/RFyUDiIEDRer0JdNQFdkIfuJ4wbIlxnjeO1BKm8ZsG0MTpmz0SvUiy8lUYzfV2S0B2Y3UWj/TLaMo+zEhtbr9+I97xuLm//RDUYETJpbhv06aArVfQlRSjGuOPKQgdlOFIjJe15aq/x/geA6qyoFTOLM2XFXR0x7Fd06ajJ0tfTjQNYCffjABP5vZZ/S15VQJHNXTluPNkC+y7+T88bwAOck54/V0JnpzWcsfJ+g09VTnY2A4YkGT0ZRrbLNrRWbhUQwMDLmEyNutyKOT2I7OvfJAkN8JO7lNpgxaCI0QxkutY9CfAGqKwphQGHaotdb2PmpWSK19ensAFb1suy3Zsh0u9baypGj1lgMSvjxjLGbUFqFzQMU1r1ZhgCs0ayx96m29wqSSHk9qmF29tRNNerogaq7XfO7j/VXaTEmt3YJskFoX+7GSV4k7ttTgxpc1Urt8RjV+uOQoKP2mSpugwqBI72SL/VhSPNU7eho6TIrU4SYSMpS+BL6/ZCo4AH/ZBqw7XGla0zl3ld4rodrt2JtqN7uxC4ojWbE977zzUF5ejs9//vNDvSkMIw2Z1NhmHB6VpMaWEVsGBoYsIiQcGVbknCm2e/fuxa233ooXX3wRTU1NqKurw8UXX4wf/vCHCIez0xQ4HTthpjfLFjIiUHZTnYT881AFAOCEulIosmpVaqmkYppgkmHaX2dolP/+mBcmmZfso9Huh1JuLe1/eB6KbLYBMoaDN298eW0fJF4GP8DhhtOn4RtPfIAPWxL40eax+PknNIUOclxT7RQRpAUQOTaKrfULYCq3xnSAMR1RaWm1lh5uPxe0gksjFXLrPr87eU72Pgippaf1JLUkKEontXGxGN9bX4mntg0AAK5YUI/zjq7GQE8cCZvtmBBaumdyMrXW2Cb9L63n09p7nOMwsTCML86tw583N2D121X495ndKBditgcb2rVgV9+N82Zr12S5NnhniycGBjdce+21uOKKK/DII4+kNf+6deuwbt06HD582PF9+/DDD2djExmGKyzW4ExTkYM8OU8hFXl03nMyMDAMEez0Z7S2+8kZsd22bRsURcGvf/1rHHXUUfjggw+wYsUK9PX14a677spo2UORFmjvK2qpJxU1tbJHLcRLjYUATBuypoLJLmotlYDsmpIcrMaWns6wIFME1xxv0hWa3FqoC8+Zn925IiI8hx+cfhS+/+xW/H1nCFPL63H1lAOAIlmeeHOIaWsVw4AUB3gBshSzLMvTlmzrc0umBeD4rA0TqWV6bHgAuBFZc1x6hNby2abUCmI4uf04pPWo7Q7X4esvFuKNAzEIHHDd4qlYOKYIfd0xh91dlhWD0NJkVg1wffE8D1mfjuM5qDxn/CXL4XgO6IvjvKlVeHNfJ/a09+PnH47D7bMHgES/1t/YZkfmeEHve0xZy5P0s3VuGwcFKlTFNiwZUecBr/9OfuPSXeZQQFHdexMHmW+kY8mSJXj55ZfTmveWW27Bj3/8Y8yfPx9jx44ddbXXDEng01c2KTKtsbWnIoeZYsvAwJA7cByHkMAhoTs5mWKbIpYtW4Zly5YZn6dMmYLt27fjV7/6VcbENhW4tvkJcC69LKZuYULEhryupRoxmUNdcQTj8kOIDUgOxZYOjHIjtW6Ew+/Gnd4/R42tojr2X7MmO8mtSRBMssspHCBpyyQ3fBzPYUp+GCtPmoRfvrYXP387hPEFtfh0lU5aVYpw6uSWVupURbIcQzu5VXVCpLjU2pLp3T7T58MOb0XX//J3U3zTIbVWYivC2v7GQ6mlamqb+Dpc8UwY21rjyA/xuHHp0TimOA+x/oRpF4/LFtuxtt92chvE6k49KAGvfVJUQOQBSYEg8pDi5Bxw+PoJE/HdZ7fi8Z35+PykMZiX12PW2kpxQ7XlBAG8otXUauc1eJ1tUCQjuaO5NjddW3EurcivvPIK7rzzTmzatAmNjY144okncO655zqme/DBB3HnnXeiqakJs2fPxv33348FCxbkbLtorFmzBr///e/xla98ZVDWxzDMkEkf27Ta/dDrs04v8BwEnjMeLLJSDAYGhmxDu5fXie0otYUM6l51dXWhoqLCc3wsFkN3d7flFRR+TzdT/YHwI7JkGLGXGkquEMHTxIZcWwIpQRQ0s7YWcNbVkmHaX1tv2gCBMHabM1mOG2H2TEgm1mhbUjLdnoius4wPSFhSV4Yvzq0DAPzXawXY2FWpqYtivnazoB8Ti7JNqZVeNbdmfaV3oq7jXCSxHJOaXPvLe3q3NGTv7Uim1Jrzp05qd8j1uOD/QtjWKqGyIIS7ls/A0YURxPoTSOj1tIm4bEkypmtlLfXdjgcsbi/rNLIkG8uz115LCRkTwyKWz6gGAPzonWpIQgHohGTe47gF6U9MI9V7vHTvCb3mI8ODfJcMxf2o9byl9soV+vr6MHv2bDz44IOe0zz++ONYtWoVbrrpJrzzzjuYPXs2zjrrLBw+fNiYZs6cOZg5c6bj1dDQkPE2xuNxnHjiiRkvh2GEwkdBTQoHkc3MigxYk5AZr2VgYMg26N98pthmiJ07d+L+++/3VWtvv/123HLLLRmvK0j/Sp7jLL9LyW5YNSLr0XKGF9Ah5+PVJj0NubrIYgf1Jq5eRDO9m027QkvX1NJ1twBvSUs2LctmQjKgQJIAURQMYgMAvMQhwcvgBjhcMmc8mnpieHlnG772ajX+tjSByRG93hYAEAdUzaqtSNowsgai2Nlrbt2UWzKdvx3ZqgKnCu/gKCfBJbC36AH8lVrLdDSp5UQrqdXtxxu6a3HVCxy6YzImVuTjJ2ceg7y4gviAZK2ptVmPaUILuD84CaLYWuzrRL2VrNcwx3O4eFYdXt3djm3tEv6wbyyuGN8PyHGXY2C1HnO8YKmzdTuHfipsNu3AQSzNwxmZKrb2h4iRSASRSCSjbTr77LNx9tln+05zzz33YMWKFbj88ssBaArqM888g4cffhjXX389AODdd9/NaDv8cOWVV+LRRx/Fj370o5ytg2EYI6vtflIkti5EWuQ5kF9PgVmRGRgYsgzatcaIrY7rr78ed9xxh+80W7duxfTp043Phw4dwrJly/CFL3wBK1as8Jxv9erVWLVqlfG5u7sb9fX1vuvKtN6WJoI8z7kSHDuBMQN/RKO+9rnDYyEpwOSyfFSHRQxEE6Zia+kXqhgWZEe9rT04Sg5+184L1vpasj/2GlsriQX82v8Qcqvtt/VHVlVUdLf141sLJ+JwTwwfNffislfG47HTeYyNAEgI1I94zEFu3WpuXfeLbBlVb6ut3/mZIPPQKH8LcjJCS/7S6qQ9JIqo/NBt7BZSm1eGZ1sm4jsvJJCQFcwcW4wfnDIV4oCMWExyKKduhDbda0uRzWvJJLn6NaEAEAUHuc0XeFwxvx73vbYH935QheV17agJyeDkGDhFhiBGjAcXvKLV3QLaww2vOlv64YUb6QxqK+Z4Li3CN9KIbqbtfuzfszfddBNuvvnmbGyaJ+LxODZt2oTVq1cbw3iex9KlS7F+/fqcrptgYGAADz30EF544QUcf/zxCIVClvH33HPPoGwHwxDBYg0e5HY/Lr8zNJllVmQGBoZsg75NsLf/GS1Imdhed911uOyyy3ynmTJlivG+oaEBp512Gk488UQ89NBDvvMlUwlS+aJP5Xx5Teul1lmttRoxefpgGQBg0dgSSkGzEVqbBRlwJx6pEFr7PDzlmbcrtbR6Sycmk5pbc3us5FZROPDgIUsKeJ4zetxKCRl8XwI3nDYN339uKw50DuArL9fhz4vjqCL3h0Z9q5Xc0um4BHQarpt6q22ff80tvaxUEFSxzRqpNSzIOqkNFQChfKhCAf5nz0Tc/nocKoBTJlfgm/MnAHEZ8ZhktPJRVavdmCjq9sRtr+vKWwXlqOlcHn5IsoXcchyHeEzCoqoirK0txodNPbhv+zjcfly3bkWPO/bdWnOtK/PIrA8xxwG5KJ9NlxiPNBw4cAAlJSXG50zV2iBobW2FLMuoqamxDK+pqcG2bdsCL2fp0qV477330NfXh/Hjx+Ovf/0rFi1aFGjeLVu2YM6cOQCADz74wDKOBUkdAbAoqKmGR9mJbRDF1p9ICwJtRWbXHwMDQ+4wWn/jUia2VVVVqKqqCjTtoUOHcNppp2HevHn43e9+Z2lNkwv4LT6V8+cWHOX2lxCU5kQR3mrWbgQX1BRD1skHqVsF3PrMJicf9nFucIZDWQluKuTWy5ZMtwGSKbUuoYcIhQH8fPkMrHr6Q+zujOGSV+rx6OL9KA/BpsZp5FZV9BYwUlxXYt0Cn6zklgxLRnAJMlFtg6j2xvsk1uPgSm0+4kIxbn5vHB77SCP/5x8/Fl86uhpyTLIkH5MHJ846Wms7KSAYmaVhncam2OrveUWFAoCz1V5fenwdvte0HX/dXYQrppRjmtADTgxr7aBcjnG6RJbjYUlGThW5SjTmOevT0MFEplbkkpISC7H1QjqOnVzjhRdeSHvel156KYtbwjDikEl4VDqpyPT6XKanFRRhlKopDAwMDLlEzmpsDx06hCVLlmDixIm466670NLSYoyrra3N1WpzApq8kP61tA35maZxUAEcU1GAEo5DVLcgS5LsUGu9SG2qhNZrOoPEUgTX3v4nGbnVlwzDjqzPK4ow2gDRvVEVRUU+z+G2s6bju89uxfaOOC59fRL+uPgQSuy2ZE62tALidJKbjGd4EVxtW2RXMhqEOPkR4GRklh7updIC+n7S9bSizXosFqBTrMY1/6nAWwfj4DngqoUTsHRcGWLRBCT9QYndeuym0tqvp3RaSFFHgMxJWZQ1ezr9QEXS+xbX54dwypQKvLq7HXd+NB4PzW3VW/zEHXZkko5M19kmq5PmObheJ3bb8EizEWcDCtJs94PU5knVseOHMWPGQBAENDc3W4Y3NzcPyW/EwYMHAQDjx48f9HUzDBEsCmqqD0MztSI7b79olXaUiikMDAwMOUXOiO3atWuxc+dO7Ny503GjoA5Ryw2e55LW5Hol39pTXK025HIAwAm6DZlWa93qHQlSUdXcSImbAk6TWLJsu3qbri1ZkmSD3Aoipd7GgbgooSgi4mdnH4PvPrMNH7QkcNkr4/C7kxIotdiS4wAiBrk19gVmqJQf2bQTXG1frSSXIB3VlrfN47Cju9iOyV9fldaH1O6OVeDKf5dhb2ccBSEB1y+ZimOL8xAbkHxJrZ9K60VogxI+rx7I9PXA69vB8xw4jkMiIeOLx9bijT3teOFQPt6eUoVPFsU01VZyhknR/Wx5wNH2xzj2imSQ1aQtfYYpqc157+00FdtUJeZUHDvJEA6HMW/ePKxbt85oA6QoCtatW4eVK1dmZR3JoCgKfvKTn+Duu+9Gb28vAKC4uBjXXXcdfvjDH+bcZcQwxMioxjbTVGT38CgCFh7FwMDAkDpy9qt92WWXQVVV11eqSLt1Ryo1ubbgKENtsw2zk5X98XK8154HngPmVRZaWvwAJNTFrK2l1Vo7HAE/inVZzum9xyerraTbu5DP2rQe4UO2ACx7+xdJrwEtVTjc+ZkZKM0X8e5h4Ev/mYAWqVgjcUYrm7CjFZD5sIC04/EgkILgav8l4PXlkJcf7NO6nWvjs2299DSBSK0QcZLacDFe7x6P8/9Vjr2dEsaWRHDfZ2dgemEE8ZhGaulWPqRHLU1qLW16ZMVCat1a+LhdO/YXuU7cAqjollAS3QpIvwYqBR7nHKu1/7njo3FQ+YjR+oecV7eHAXZYw7r8Wnn5nF8u2HSjAcOx3U9vby/effddI9V4z549ePfdd7F//35jmlWrVuE3v/kNHnnkEWzduhXXXHMN+vr6jJTkXOOHP/whHnjgAfzsZz/D5s2bsXnzZtx22224//77WVLykYAkKcW+SMeKTP8muayPrrFlVmQGBgaG1DFib/cyKXomdh+e58Bzzhtnt9AoC7Ein0MFeLppLABgRmUh8gGDgEgJmVLQ3C3INBFxIx2pwI3kWsiJbO+la1X6LNtm2V7VtFTLVns1TW7jMQnxAQmxaAKlkoo7zzkWlYVhbGvnceHLk3BIqgQixUC42ELyODEMnnoJYtgguLzoJL/GS6BebmSSnGsX8upFYu3zJ1uHSdY067Gg7wPHay2OOJEKhhLCgKiRWeSVQQ2X4X8bjsZlz4XRHVNxXE0Rbj9tGkoSKgaiCa2lj05qSWCU9pJtFnf9WrMnbyuKy3mm+yqrri/ntC7LtJFbUmObSMiIRRP4zMRKREQe77Tl47WOaiCUb3E5cILz+Nv/nw0GOON7YNBWmTOQGtt0XrnCxo0bMXfuXMydOxeARmLnzp2LG2+80ZjmwgsvxF133YUbb7wRc+bMwbvvvovnnnvOESiVKzzyyCP47W9/i2uuuQbHH388jj/+eHz961/Hb37zG/z+97/P2Xrb29tx0UUXoaSkBGVlZfjqV79qKMZe03/zm9/EMcccg/z8fEyYMAHf+ta30NXVZZmO4zjH67HHHsvZfox4WGpsUyW22bciCxYrMiO2DAwMDKli0PrY5hKWupSATzkD5TzwgqWe0q3ND7EhL6wp9lTT7KBDpazD/ZVXN7ipWWQ5pqWYCpDysSaTef1sybwA3ZIsAFDAKZxrb9PyiIi7zjkWP3x+G/Z2xfD/1tXhfxcrmJKv98skNxSKACDmMHHZG87QoFv9kLpNY5xLvWYqoJdFL8dNzSeElgxLaj0WIkAoHwN8MX60eTz+vk2zY3/q6DG44rixQEJBPCFr9mPZVGjt1mM3BVX77F9Xa0/kdgM9jdnrGPBrCaUoHDiFgyxpJLxA5HH20VV48qNmPLCjDqcsPKw9wFBkKFRtrVFja2v7EyRYiuMBXgnW8odhaLBkyZJADp2VK1cOmvXYjvb2dtegq+nTp6O9vT1n673ooovQ2NiItWvXIpFI4PLLL8dVV12FRx991HX6hoYGNDQ04K677sKMGTOwb98+XH311WhoaMDf/vY3y7S/+93vsGzZMuNzWVlZzvZjxCOrfWxTJbbO6QWLFTm1zWFgYGBgGCXE1g/Z6AVnt1DyOnH5uK8UH3eFIPIc5pQXQHHUPaoOtdZpN/avv00Ge2iOdZxiIbdkGi9yS5MXr7RkReb0QCp9er39C6eoBsEl21EUEXHfZ47D9/+1DXva+nHhunFYc0oI80r11agywJntgNzOFJ3Ha4ed4AJOYmpMK1O1tx7TGONdSCz93m47JuMc1mPylyK1B+VqXPNSJT5skcFzwIqFE3BmfTniUQmJhLOelhBbr4Aotxpb8lmbxnkdJXMDGNeMPi8huKQu205uFUUFT2p/dYV5WX05ntl+GG+35GNDVxUW5PeA4+PgeQF2ykra/mSKXLX8GQlI11Y8HOuRBxOzZ8/GAw88gF/+8peW4Q888ABmz56dk3Vu3boVzz33HN5++23Mnz8fAHD//ffjnHPOwV133YW6ujrHPDNnzsTf//534/PUqVPx05/+FBdffDEkSYIomj/lZWVlIy6gcchAk8uMU5FTbPfjYkUWqe1hfWwZGBgYUseoJ7ZA8HRBe/2fY7zNhvyvRu3mYXZ1EcIA4pJmzdRsyFY7J+AMi3IjtZncaLqRXC/11p6abA+VciO3gKbW8vr0YggwyC0AVV9nHJKhXucpKm478xjcvG4Hth/uxUUvVuPnJxfhs7VNQFwE5Jh2Q8ELgBQHx0tGUjIhO4Ku4PnRMT+Vz67qkun9lmV/T9eC+hJaWqXl9JY+kWJALMCrnXW49kURnQMyyvJFfPekKZhWFMFAv2Y9pkktSZuWJdlBXv1UWjdCG7Sm237NaMN4aln29j9marZ5vDhIvKbannV0Ff659TAe3DEOC+YeNEKkSMsnXhGg8oLxgILuZ2tPSDYdB8kDpPzAc94q73ANngqCTNv9HKn4+c9/juXLl+OFF14wet+uX78eBw4cwLPPPpuTda5fvx5lZWUGqQW0Xrw8z+Ott97CeeedF2g5XV1dKCkpsZBaAPjGN76BK6+8ElOmTMHVV1+Nyy+/3NPWGovFEIuZQX7d3d1p7NEIRiY1to5U5FTDo1xSkSkyy/rYMjAwMKSOUVBdlh14BUc56i7JeyGC5xvLAADzqoqM+ke7WktAhzCR8fRwehgNv5Af/2ApZxCV2ziv7XGrubVuE117aRIwt0ApISrh9qVHY/FRlYjLwLf/U4Bf7KiHGio260/pcCWPelZSG0sHTLmdG0fwk08NrnftrLOGltTRGttDamoNu7FLQFSkGJJYjLu3T8Jlz/LoHFBwbE0R7jtnBqYWhI2QKLo/rZ3UklpWN1LrqIF1qZWlz7tfaJDbeEuglGxfrzX9m9TbkprbZRMqIHDAq035eK+nwgiRoo87eU/D73NQEYO+QQxanpAu/BY/WKKLoqppv45kLF68GB9//DHOO+88dHZ2orOzE+effz62b9+OU045JSfrbGpqQnV1tWWYKIqoqKhAU1NToGW0trbi1ltvxVVXXWUZ/uMf/xh/+ctfsHbtWlxwwQX4+te/jvvvv99zObfffjtKS0uNV319feo7NJKRUY1thuFRLutjfWwZGBgYMsOIU2yDBL24/R5kx5Js1tfuHyjG1o4QeA6YVV4AdUCy3OS7EUSCIKQ2lfAou8JmX6abeutWdxtUuaVtyRb1TpKh2k5QIi4b2/L9U6ZifGke/rTpEH7xTgh7Outxx/wGRDgBiPdoNxmyrh5wskW9peFXf0tgV/384KrOU3ZjehoHISMqLS+YBF1X9CEW4FCsCNe+OhbvNGq65mdmVOOSmXWQByTEY5LlQYBXPa3depxMpQ1ia/e6vryuH7r22qy91c49zwvGtWKkJIsKysUQTp82Bms/bsVv90zA/bNawMth/WGBs56WrrNNBdomp6a28jyQ7L+Yl4Jrth5KvozBgqqkp76qw2T7hxJ1dXX46U9/mvFyrr/+etxxxx2+02zdujXj9XR3d2P58uWYMWMGbr75Zss4Osl57ty56Ovrw5133olvfetbrstavXo1Vq1aZVn2EUVuM6qxtd9TpKjYuqUiWxTb1DaHgYGBgWEEEdtUianb9DxvtfeQRGSrumMnMqIl0VXQFbnnW7Q6qOkVhcgDELWQEdVF5Uwe9EMPTxd26zG9DprgmsTVWnebsS0ZCog3lSyfkJ3utn5cMLUKY4siuO/VPXhqdwi7eibjwZNbMCFPABJR7eaCFwFFAuS4g+ASwqoqsmFR1nZCgLWHrQhVoU2y7rC3m/FK63X8pW3HnL7NVC0twsX41+FxWP0foDsmozAs4NsnT8bsknzE++KO/rR0j1p3RdSlX60PoU33urJPR18ntBWZJreSJOtfJNp7QHugER+Q8KlxZVj7cSueayhF0/Qy1ApxCGLYCIwidmRSZ8vzAmSX2ul0wXMwWrUGJaL0PCMFrMY2OLZs2YKZM2eC53ls2bLFd9rjjz8+8HKvu+46XHbZZb7TTJkyBbW1tTh8+LBluCRJaG9vT1ob29PTg2XLlqG4uBhPPPEEQqGQ7/QLFy7Erbfeilgshkgk4hgfiURchx8xSFLz6ouMw6P8FVtmRWZgYGBIHSOG2LrBkvuQgqma492Jr4PACFaSQ9dS/ruhDIBpQ7a2YLH1sFWsKcjJ0muNYQFSbAl4W4SiF8G1k1t6eCrk1p6WrO2rmZYMCRBEHjKVmByPSVAVFYuqilFz9nTc9uJOfNiSwGeeGYO7TxKxtLoNkARduY3rOyYDiuCp4NKKn/0SCELl7L1u3etrKfsyrdCScChSS6v36u1WC3Db5gn4y4faPhxXW4zrTpyMYgCxaMIgsomETCm0Jqkl5NDeWocMI8fd1eoegNCmkrTtpvKbCdnkGjEVW4XnoCgcZImDlJBRVxjGrNpivN/Ug0cPjseqyZ2Uxds7pMtQcX1qpwH3mtls18pyPHfE16KOJsyZM8ewA8+ZMwccx7mmN3McB1kO/mClqqoKVVVVSadbtGgROjs7sWnTJsybNw8A8OKLL0JRFCxcuNBzvu7ubpx11lmIRCJ46qmnkJeXl3Rd7777LsrLy49s8uoHizU41fCoTNv9OIktq7FlYGBgyAwjmthmE3Y7qqONi2DejLdIhXinRXtSPrs837SOyqaClgqhcFhHUyC09nncCG6uyK1bWjLdCohOFaLVW0VVMSkSwn+fPxO3v7QLWxq6cdVLpbjsuEJ877gm5HE9ZqCUHNeTk+OGWMzxgqtF2U6Cgjzr8KrndNR/2gmtXaUVwkC4GC+3VeMHr+ehqTcODsBF88bj3CljIMUkxBKy2ZPWIyQqmfU4qEqbbsq2fVo3ld9Jbs3rgSiHvE7YE3EZn5pQjvebevDnvWPwjcl5CJOgKOphkaHEuxAJo+YdZg07z3NQoDqstEdqMjILjwqOPXv2GAR0z549g77+Y489FsuWLcOKFSuwZs0aJBIJrFy5El/84heNRORDhw7hjDPOwB/+8AcsWLAA3d3dOPPMM9Hf348//vGP6O7uNoKeqqqqIAgCnn76aTQ3N+OEE05AXl4e1q5di9tuuw3/9V//Nej7OGKQ1RrbAESUnsc1FZnV2DIwMDBkghFJbL0SHu0hMZnW1dpDpHheACeG8ULreKgAppTmoVjgEYsloCiqodoCTrU2WYotQTqk1mt+QnLdkpG1z/YetumRW8BqS5b0ZYsiAElbriCa6yDqZFhRcfOpU/HnrU3463uN+P2HIl5vnIh7T2zBjOIeINGvvVTZtCerslaHqSu4AMDpZNbR3zaNGlvLPITMkveE0NKtfEL5gBBBJ1eOWzdX4YmtMQAKxpXm4doTJ2Fyfhixfqf1mARtpWo9TqbSBknYduuhbAfdDgoARWYB+oEGbAnJiswZzzMEiYeUkDGzNB/VRWEc7o3jmeY6nF/RDk6KGw+MiB0ZMOtsvZRaXvcJZ4uPeal1bkjFojzYdmZFTdOKfAQ+BZg4caLxft++fTjxxBMdycKSJOGNN96wTJtN/OlPf8LKlStxxhlngOd5XHDBBZaWQ4lEAtu3b0d/fz8A4J133sFbb70FADjqqKMsy9qzZw8mTZqEUCiEBx98EN/5znegqiqOOuoo3HPPPVixYkVO9mFUYEj72Dpvvyw1tozYMjAwMKSMEUlsaWTDruOWkus1DkIELzRXAAA+oduQLWqtb1KxTyKyB6ENUhvJe/iwSdAPvSw39dbVbpqBLZkQHU29BXhYLcnW/VPxpWNqML++DD9/aSd2tCdw3rMVWPmJMlw1tQERQ7XV/5Let8SirMiAIAKqpJ2fgBZWAgeRBZxkFjAtx4TQ6kqtKubjXy3jcMvrQEuf1ov3C3PG4vPTaoCE7Eg9Dkpq/azH6RDaIGTWbXp7v2N6HW7klrYkE8u1ICg4e1oVHtl8CH/cV4vzq3aAF+MGuSXIdp3tSG7fkyqYYpseTjvtNDQ2NjpSiru6unDaaaelZEVOBRUVFXj00Uc9x0+aNMnywGXJkiVJH8AsW7YMy5Yty9o2HhHIpMbW0e4ncysyC49iYGBgyAwjntgGgdeTT6/gKAAW6zHd3iWGPLzZUggAOK403yAq1tAod/UNCE5q00lFdiO4douynzXZPixdWzLPCzoxoqYFb9STqopq3KQR9XZaQQS/Pv943P/GXvxnVxvu3cjj6V31+MmCDiyo6DKtvyRUykJwZQBWkgvYSCtNjtyezNNklvwl6ySElhMAUSe1YgG29ZXilk3leOugtr6JFfm47pQpGB8JIdafMIhsIi4brXyChEQFsR4HJbVehNaL8DmuBVu/Y32oI1nbui28se0kIXlRVTH+yAHvtudjd7QUU8R+jcDCmTTtZkcOgqBE1q+X7UgFC49KD6qqujqA2traUFhYOARbxDCoyKZim3IqsvP32mJFZjW2DAwMDClj1BPboL8Nll6Z9rpLQSe3Yhhv91QjKvMoi4ioDQtIxGTdgpysr6ziehNpJ7WZpCJ7tf0h6/GzJmdDubXYknlNxSO2ZJ7X9pPjOajUj7eRCKyqCMUFfHtePU6dUoEHX9+LnR0JfPHfZTh/+hhcN7sLY0OtWjsgOQ5IMdOWrOpEiFiVESY7bR4Av3sWQ6klpNZGZm21tIf5OjywJR+Pvh+DokqIiDy+OKcOZ0+sAC+riLqkHhMy69bKJ13rsWd9rQuZDUpg7NPZW0KZ05i2ZNqKbLEk69dBIi6jMCJi3vgybDjQiX801eO/JrZrqi1lR1Z4wUhL5hRrgBTgrdzynFZv64dRHwClqoEt1fb5jkScf/75ADQr+mWXXWYJV5JlGVu2bMGJJ544VJvHMFiwkMsUiWSmVmSX6ZkVmYGBIZf4ztKjce8LH+Omz8wY6k3JGUYdsfX6LSA8jyQie01nT8LlDcVWBDgRr7SOAQDMqiyAqmokzlDaZCs5sStwBHYVzj7cDW7ExO+HzzUV2cea7BYqlU1bMqBAkgBRFDRKpFuTSV10fEAyiN/c8kL89vPH45F3DuL/PmjGP7ZJeGZHES4/vhBXH9OKEqFPI5pyXCOvhNBygklyAT10KgnsfQVpMkvX1Iby0YFyrPmwGP/7voQBSeu3u3hqJb46rx6Fior4gIQ4pdKqqhrIekyfD3fS6iSwninIsv1ay7Bmm66xtam3XnW2JCWZ7KeqaFb0k2pLsOFAJ544WIVVU8LWpHEdxI6svbfayTWrufs5zbSnLJn/SLIvH8koLS0FoCm2xcXFyM/PN8aFw2GccMIJrDb1SECqScg0HKnIQRRbf1XYakVmxJaBgSG7+NYZR+FLC+pRXZI8VX+kYtQRWz+k80NBE1yIYfynuQQAMKM036G+AcmJhBup9VZ5ky3LmV7rtr50yC29jkxsyW7kluc5qPo67YFfiqgC/YAoKVgxtx5nH1uDX6/fh80Hu7BmM/Dnj6pw8XFVuGRqC6oiAxq5lSn11lBtEaxmilZraTJL1dLuHyjBI9vL8ZePEuiLJwAAs8YW44pP1mNKYR5i0QTievseokAT63GmIVHpqrSu7oAUmV9Qyzq9fF6gWv/InLH/sqxgVnk+iiICGqPAm53VOLGgR+8jHLekI9NwJF2T9SkqFGgPquzJyGS6I4mgMityavjd734HQKtl/e53v4uCgoIh3iKGIUGq9mMaaSm29Pqc//cE6jtXSKGFIQMDA0MQcBw3qkktMMKIbSq9alOBW/9aus8mqa9tSJRhR3cYPAccXRSBnDBbtABWEuJXL0kjk7YsXvO51z1S1mOfutts25LdbKrGX8kktqTulpBAWVYgxWVU5Yn4yenT8F5LD3674QB2t/XjwXeAh94bg3OPCePiYxOYWdgGTuqnrMmS1aJsHAj9sz0whA6NEsKAGIEkFuP1ljL86SNg3a4BqNB60h5dXYhLPzEex5UVIBGX0ds9YJJZSbGotNlq5eOn0iYjtNmwttvTtIkN2ay7pR5mUOdfUVTdjswhEZchCDxOHFeG53e34R8N43DisY0QxCgUKWba/akHSXKS0Kgjjbz6gYVHpYdLLrkEhw4dwrRp0yzDd+zYgVAohEmTJg3NhjEMDiyKbYr/F9Jp95NEIaZrbL26PzAwMDAweGNEEVsaNMlNl/DyPOfdt1QHTXLf7NR6H04uzUe+wGMgJtl61wbrX+vWg9RtunRB20etw73V28G2JRu2VZKYLPKApGhEN64TPVHreStLCo4pzMN/nzsTGxu68Zf3GrCloRt//SiOv34ETCyrwmeO4rB8chxHF/ZoJNdSe+tCkCxKrabOxvkCbGwrxjO7eTy3K4GO6IAx+aJJ5TjvuFrMqCxEtDeOAT0citTSKjoZD6LSkmOcTVKbqkLrd60lu27o9Zt1t9ZzSyYnBJ48rDihphjP727D2qZSJI4VIdisyDQs/W3TTEYG4Nl6J1P7csrbkUMFhim26eGyyy7DFVdc4SC2b731Fn7729/i5ZdfHpoNYxgcpJyE7LesFGtsXerbaVcZC49iYGBgSB0jltj6wZ52nC4saa1iGG+3a3VZx5TZbchWQmtPQgbcLcjW8cEszDS82vzQy8wGubUvz4vc0ssIYku2k1uV50wFV1UNFUpVVAiStr5ZZQVYuPxY7O6K4h9bGvGfnW3Y1ynjgY3AAxt51BSVY+G4Kswao+LYCgn1BXHUFMgIU/W2KieiVxLQEA1jT3cI7x4G3mlSsaU5gbicMKYrLwjhjKPH4LPH1mBMOIRoXxz93THDckxqgmXZXkfrnnpMH0e3etpskdp0re326ew2Y22YMw3Z6zpTFA6acmsq2pMLw6goCKG9H3irqxYn5XUYD454XutnS+zJgJXcAslb/xAV1ysTKSiZTbcP7WD3ryVgxDY9bN68GSeddJJj+AknnICVK1cOwRYxDCoG24qchEhbUpFZeBQDAwNDyhiVxDZdeAVHCaKWiLuhrRgAMLUoYrOX0j1srbWzVjKSQt/RAHff9mlcVTUPkpIKuQ1qS6btx8lsyYoM8IJqJCaTuluD2OoEhRBGQeQNhTQWTaAqLODahZPwzRMnYeOhLqzb2Yo393aguVfBU9vjeGo72bsQgBDyQxzCAgdVBfoTip5dpYIQKILyghBOnlyBJVMqceyYIsT7E0jEZHT3RY2EY9oubbUcK4a1U5Jk43gmq6cl5yBIPW2qhDYT4uJmb/dT8O0PLRReGyYlZIiioB27hIL5daV4fmcrXmipxsmTd2lhU/YQKcHsSZwJgtiVOY5LL1GYXs8QEVoCv0T2ZPMdyeA4Dj09PY7hXV1dOethyzCMkIkqmla7H3/yKwi0FTmNbWJgYGA4wjGqia3bDwNJRPbqX8u7WJI5XkBLIh97unlwACYXhaH0JyxpyHZFjoZXKrLbtG7TB4VbEjK9nkzIrduyUlFu7bZkkyhZCZG7emuSXEVUDYIpxWUIIo/51SU4sb4cClRsb+vDB009+LilD/va+9HQNYC4rCKa0F40SvJEjC/Lw9FVRTiuthjHVhWhuiAEKaFiIJpAb0cUxGJMK7SKXg+cTKUl+5etkKhUSK0fmUt2fSW7frzIrdt6yP8n4yGFrGBOZSGe39mKtU2luGmyaHVGUO/d6mxzmYzsB692QYNtZ2bILk499VTcfvvt+POf/wxB0K47WZZx++234+STTx7irWMY1nCkImdeayAwKzIDAwNDRhjVxJYgSG2bveUIGUZeb3dpbX7qSyIo4Hn0Km52Y7qGMojimj1Sa19GLsit6zAP5dZSf+tjS3ZT+3jwxicHyVVUcDxnEFxB0ohwtE+zn08tysf0GUXgeUAUeIAD+hMyeuMyZEXrdhoReRSHREREHpKsQpZVJOIypLiMrvYBU4GlCK1BYlWaxNr/Oq3HuSa1qai0Qa8trwckfuTWXC99bq1tf2RJhizxmF6ahzyRR2N/CB9FKzAj1A9Oimsqrc5ZOV6AKsuuaclmb11VnxZAAHGNJqc8x0EZRT1cyQO2dOY7knHHHXfg1FNPxTHHHINTTjkFAPDqq6+iu7sbL7744hBvHcOwRjpWZBou3z+sjy0DAwNDZhgRxDbIF7y9bYx9Xq9WP3Zl1v6e40VwYhgbOysAANNK8g3Vjtj/vGyAQUKBzGmzK/sEISdkunTJrTlPauRWnwta/aWsb4+t/laBYU0mxJaQWp56L/MKuASnB4FxiA9IxjTkL6Bd6CGD2CjohYRuipgCcLUXG3+TEFpyjAYzJCqISpuNVGQAjuuAjLcEh9mCpMg5VxQOUkIGz2sPIThZxZzaErx5sBMvttbiuHGNhu2f1Nna4RYgpV02mprvRlSzkZqclWUMgk2ZWZHTw4wZM7BlyxY88MADeO+995Cfn49LLrkEK1euREVFxVBvHsNwRjqpyElA19iyPrYMDAwMqWNEENugSMZ/nQ9YXW6gBcoWKej9azkRH3Rp9bWTiiIasZWtBIWGg3B4pCB7TW8dl/yO2I/4uxLRLJFbP5uy2/T08gwyxLvXZ+pLs6i39F9AAadQpFdfJ01qAf+bA0KE7OTWj9A6p3EqssOB1AZWZ22tnzynS2JPN7eVtxJfo6+t9pnYuWdVFuDNg51Y316Bb9Y7k5E5XgQn6O2bjGGZpSNnA0NdS+sFhbo+U53vSEddXR1uu+22od4MhpGGTBVbtz621PcwC49iYGBgSB0jmthm84mm/caap2zICifgoy6tofH4gpALIVENQkMP80KQm8lUbjjJtF4ENx1ym3yd/nWWjvFExRXcWwQBJjEi1NXVmqwrtQahVTlwCgcZMAit/b0fVOp8Wd5ThJYebx3mXk9rvE+D1FqOcQBSm6pK65nKbRvuRnRTfchBlqvVoVKWZFnB0aXa/6d32gsxgHyE+ajF+s+QGuhrLNX5jnR0dnZiw4YNOHz4sOMYXnLJJUO0VQzDHxnW2LpZkTlasU1nmxgYGBiObIw4YpuLpuV0WI3buL3xSvRLPMI8h6qQgHg0QdlO/dRWZx2l2zTWz5mn2LoSDBdrsh+5zXaPW8/kZItaC4/3VmsyFNVVqVVVDpC1a4SQ26DHjKTi2lVZ+r2d0DreB0g+tnwOoNT6KbFBVdq0ai89lNyktdeWhxO8Tmo1O7Iia7ZeWVJQWRBCZUEIbf0JvNMzBovyuzRSS9XZAjCsyYOh1KYSBJUNizJDMPzzn//EddddB0VR8P3vfx9XXnll1pb99NNP46KLLkJvby9KSkosvy8cxzFiy+ANZkVmYGBgGHbIPMZvhII3CJHdAilYXrwYxoe9pQCA+uIIOJXcqNMEw6ngeiHVGsl04GdLTMXCmlp7ImvIkRdpo0meq6LponrSah/pa0uIppFSTL2XZS3kSZYV42UuwzqcTEcIl9cyTduxvb46d6TWeYwHh9Ta5w+6DC/12H4dqYq2zOPGFAIANnRUOpLJ7cqtW2qyH+z3hKNd/VCp6zuVl1vS83CCJElYtWoVXnzxRWzevBl33nkn2trasrb86667DldccQV6e3vR2dmJjo4O49Xe3p619TCMQmScguwWHmUukxFbBgYGhtQx4omt3T0bRKULmjbI8QLAC/iwuwQAMKEoYiMgbgpbsFTkXJHadJaZCbkNUh+cTNW2v3cnt1ZCqdpuzg1SS5FTM+TLh+TayCxZnup4703C7aTWsT85th+7Lye9lFwvpHodOLfRRqhUFZOLNTvy+93FAC9odbUBbcgsMdQK4zpM4zWcsWHDBhx33HEYN24cioqKcPbZZ+P555/P2vIPHTqEb33rWygoKMjaMhmOEOSAeNJd01iNLQMDA0PqGDHENoXyT//lUL8VfonIWoiUCHAitvVoytL4grCFUAHByKObKmcdn3wZKkWyUlFZgtZg+qrMSQiSg7C53Cw77btWmzatypJluZFGS62mJFvOhxupJe+9XvR8bgSZJtWSJFu3wUWdduxHllv6BCW1XjD3x//lOq8HubUu39ryyvpgQjufWtsfBROLIgCALZ1FUPmIRamlA9xotTYZgnxP0NNk63tlqJGOWuvn7MgGXnnlFXzmM59BXV0dOI7Dk08+6Trdgw8+iEmTJiEvLw8LFy7Ehg0bjHENDQ0YN26c8XncuHE4dOhQ1rbxrLPOwsaNG7O2PIYjCDkhtjz1PuuLZ2BgYBj1GJQa21gshoULF+K9997D5s2bMWfOnIyWl+2bUetNtO2Q8AL29mo34FVhwbg5pwmAJ2H1CupJIeTFi8TSw71aHZnrc0sv9g+L8hrvVW9rX5e93tZrW0gtr1ugFL0sR/sgharvpJ7P0Ec26GVCnz+6jpYe50Xe7WTcMm2SFk9uy7NPly1Sm2qwkOf5d6m9tpyLgP85FUXF+PwQRJ5DW0xEQ7wAtS7JyEFqa3meg0wdmyOx/jVZvb/ffADQ3d1tGR6JRBCJRDLapr6+PsyePRtXXHEFzj//fNdpHn/8caxatQpr1qzBwoULcd999+Gss87C9u3bUV1dndH6g2D58uX47ne/i48++gizZs1CKBSyjP/sZz+b821gGGLUzASaPwCO/czgrtclPIqusc1FnggDAwPDaMegENvvfe97qKurw3vvvTcYqwOQ+cNU0lMzDhEH+7Qb7qqICEVSXImHqUypNjKSzJKcnLgmA5nWj+AGIbdOEpo8TMprWdo8ycOkSI9bmtzSy7OTW33J+l/rZ57nLcciKLlRkxDJIKTWPn8y1ZRennVcclXUa1y2SK19vlTSss1tURxhbPbaTl4FJpbnY1dbP7b1lmJsQYMZIBUAvB4kRg6ZWy/bIwXpqq9knvr6esvwm266CTfffHNG23T22Wfj7LPP9p3mnnvuwYoVK3D55ZcDANasWYNnnnkGDz/8MK6//nrU1dVZFNpDhw5hwYIFGW0XjRUrVgAAfvzjHzvGcRwHWR7a9lIMg4CrXgYGuoHCykFesfP/K/37KzBiy8DAwJAycm52+de//oXnn38ed911V65XZcBO4FINYeAp6+OBWCkUlUOewKNY4AMRFzcEqTclSDfQJdl8wWzTqVmSvUi+13RB1M0ghNKc1mr/pWtwg76sNlzVZXlUOyfZxW7sYz9OJSzKj9QmI7xe/ZTTJbX25Xity3V/jH2lHvbY5iF1tuP0Otvd/cWepQFun+3wy3FJtR73SKzfPXDgALq6uozX6tWrc77OeDyOTZs2YenSpcYwnuexdOlSrF+/HgCwYMECfPDBBzh06BB6e3vxr3/9C2eddVbWtsHPjs9I7RECITQEpNYdLBWZgYGBITPkVLFtbm7GihUr8OSTTwYK54jFYojFYsZnuz0uVdA3qBzvfsPqdQNN/h6MattdVRAynEOBakoDEF83AphpSqmqqEmtydZtGBxLcqrwVHldLM5WGzOM+VJdH71v9uHJ0p6DLNudkCbfzmTr8CK12URQm7HfdBph4AzFVlFU1OZr1s/d/VodO10K4JaAzA1S6x9Aq8cfKY5mRU3Tiqxq85SUlKCkpCTbm+WL1tZWyLKMmpoay/Camhps27YNACCKIu6++26cdtppUBQF3/ve91BZOTxICANDWqiaDrRsA2Z9wTGKDowaLfX/DAwMDIOJnBFbVVVx2WWX4eqrr8b8+fOxd+/epPPcfvvtuOWWW3K1Sb7geWdIDccLaI7nAwDKI6KltylBpipoLuBHbtOxJKeCIAQoqCU5CLkFrETWTnCTb69PIrQHqfXaJ23a4GnRXsNSqasdDFLrBtqaHmh6RQFPWYyJql6jE9tdvfmeIVE8L0BOk8weKfW2qqxCTSMFO9V5rr/+etxxxx2+02zduhXTp09PeVu88NnPfjZnta5uFmQaN954Y07Wy3AE46r/AD2NQMVkxyia2LJUZAYGBobUkTKxDXpj8/zzz6OnpyclS9vq1auxatUq43N3d7ej9ssNqSiU5jzJrI3a+MMxLUClLJz5MwA/wgJkrtbal5XOcUmGZLW2lml9VNZkyw9Kbun12LcpFULjdW78bMJedmr7MbAv377soYDfsfE6R8nUe+t5UMELZD1mva3dsjwmT/t/1RCNAHpduxeFJWrtYKq2IwWZhkcFxXXXXYfLLrvMd5opU6YEWtaYMWMgCAKam5stw5ubm1FbW5vSdqWLJ554wvI5kUhgz549EEURU6dOZcSWIfsI5bmSWsCm2DIrMgMDA0PKSJmtBb2xefHFF7F+/XpHsub8+fNx0UUX4ZFHHnHMl40kTjuC2Hm8SC7HC2iOaTWApSE6Edk9NChIaq0Xsklq6WW6kdtUU5KDqbDBVN5kQVL+87oFSsFTvdU++9us3bbPeO/Rtoiezn0ZyVv7eK4zx2ptUIdBoHOZRLW129AVWQXPw/g/pCoqSvM0xbZ1QDSs/iS4zW9POF4AFCnpNh4pyDQ8KiiqqqpQVVWV8nrcEA6HMW/ePKxbtw7nnnuuvj0K1q1bh5UrV2ZlHcmwefNmx7Du7m5cdtllOO+88wZlGxgYCFiNLQMDA0NmSJnYBr2x+eUvf4mf/OQnxueGhgacddZZePzxx7Fw4cJUV5sTuBFae4BNZ0I7RMVh57R+pGakw4/cJCU0PgnJfutKZkkOsn1uyc5B4CCRLu13fMOxAliQvZafLWSD1NLTuh/f4A8ggqBYvybiCodOKR8lfK8xLkjfWgYNg6XYpoLe3l7s3LnT+Lxnzx68++67qKiowIQJEwAAq1atwqWXXor58+djwYIFuO+++9DX12ekJA8FSkpKcMstt+Azn/kMvvKVrwzZdjAceaDJLLMiMzAwMKSOnNXYkhsXgqKiIgDA1KlTMX78+FytNhCSqVF0P9teSfsbSaFWL9XE5FwiFdXWD0FCpHIJP2XXoQymvG/JSW062xtkmHV88PY+6aZypzpPLhKC6bRkkedQmieia0DC4XgEJTYuq/0/jGd9Gxhyj40bN+K0004zPpMyk0svvRS///3vAQAXXnghWlpacOONN6KpqQlz5szBc8895wiUGmyQdGgGhsEELdIyXsvAwMCQOgalj+2IBS+gV9IIU4SqHbTDP1QoOaHIhQ15KBBUWQ1iP3brbWvO71LT6UJuAf+HGO7Kq0etrZ/lOEDP2iDrSLZtfkg1rCpb8DtP9m3gebKdgmV4QVhA14CEfiVMj7JgJNbVDmaqsluwXdD5coUlS5ZADdBXeOXKlYNmPbbjl7/8peWzqqpobGzE//7v/ybtwcvAkG1wFLM9EtuOMTAwMGSKQSO2kyZNCnSTM9zQl9Bu1vMspCkz+17aKiBVU5oLDHY6cjbm8yO3ZDxBsoTcTFvvjBYbOo1cqbYAjD7CYf18Dyi8a4sfhuRQZDUte/twcpcMBe69917LZ57nUVVVhUsvvXRQevkyMNCgv2lZjS0DAwND6mCd0pJAVrUfl6F+eGpR+VK8gR0tinCmSN9WPLS11JnYkHOh1mZbHQ7p9doxNZT2NgVFLpLChwNIeFQ6ryMNW7ZsMa7hPXv2WF67du3Cm2++idtuuw3FxcU524b29nZcdNFFKCkpQVlZGb761a+it7fXd54lS5aA4zjL6+qrr7ZMs3//fixfvhwFBQWorq7Gd7/7XUgSC1kbKaC5rMCILQMDA0PKYFZkCqSu1jJM/21RVFgfp+oYqpYtfmFMoxXB2gVl57hk+4b/SCQQQRHSFduYYp43ptqmBkVNMzxKHX0ug2SYO3cuGhsbUV1djSlTpuDtt99GZWXloG7DRRddhMbGRqxduxaJRAKXX345rrrqKjz66KO+861YscLSe7egoMB4L8syli9fjtraWrzxxhtobGzEJZdcglAohNtuuy1n+8KQPXCgrchDuCEMDAwMIxTsqzMJzJ8ZRkxGAoYr2Wf1Ut5I6IQswh95JCtbYIptcJSVlWHPnj0AgL179w56CcHWrVvx3HPP4be//S0WLlyIk08+Gffffz8ee+wxNDQ0+M5bUFCA2tpa41VSUmKMe/755/HRRx/hj3/8I+bMmYOzzz4bt956Kx588EHE4yyAbSTAGh7FfjMYGBgYUsXwZAFDBNWlLybPaTd+qptci8EjUvb1DFcCl0sMJjmk1+VW8zsYSdDZQC6Omd++p7O+AUkjFgVcwhg20oKiGEYOLrjgAixevBiTJ08Gx3GYP38+pkyZ4vrKBdavX4+ysjLMnz/fGLZ06VLwPI+33nrLd94//elPGDNmDGbOnInVq1ejv7/fstxZs2ZZEqXPOussdHd348MPP3RdXiwWQ3d3t+XFMHSgvz2ZFZmBgYEhdTArchIUidpN94CsALo9UruxT//GO1mIked8aZLZoHWFdsKSCSlKl/ilOp+FgHocH89+vLZzwAt8Umu537nTkpqzr/7Yl8sL3KCF/uTyYQLHc+B4ziC2+aIEVZFzSmpHa735cOxjO1zx0EMP4fzzz8fOnTvxrW99CytWrMhpPa0dTU1NqK6utgwTRREVFRVoamrynO/LX/4yJk6ciLq6OmzZsgXf//73sX37dvzjH/8wlmtvk0Q+ey339ttvxy233JLJ7jBkETSXZbyWgYGBIXUwYusHRUZZWLvJ7pMUICSkfKMfhMRyPDdqb7jdEOQY8nqgUCZqabL1uJ0bmtwGfQDhRzTdyG6mBDroetJdViog5ynw9LZzp6oq+uKaU6JQ8Ca0I1HBHcz/0loqchq9io/QVORly5YBADZt2oRrr702K8T2+uuvxx133OE7zdatW9Ne/lVXXWW8nzVrFsaOHYszzjgDu3btwtSpU9Na5urVq43+wgDQ3d2N+vr6tLeRIVOY36ccY7YMDAwMKeOIJLaKoiKZ+ElsyWVh7W9fQgZfGHadViMO1OdBVNSSwUutTZ2ge6mhPPXeuUy/9aSizpLleK2PVmtT2TejVRDdFsiF3LoS1BTJZLJhqSi+qV5j6ZDb1I6j/7m0Wrs5Y/qorCKa0PZ5bLgPsJUCupUHMDjBFNv08Lvf/S5ry7ruuutw2WWX+U4zZcoU1NbW4vDhw5bhkiShvb0dtbW1gde3cOFCAMDOnTsxdepU1NbWYsOGDZZpmpubAcBzuZFIBJFIJPA6GXILxmUZGBgYMsMRSWwJVEUGxwsWNUhVZKiybLwvD8UAAL0uCptGRGSXYanfLA431daXkCZR6VxVVp14+pFfMp9drfUjtX6ENghxJufKTnD9yK0bGSVEMygBDqIMp0p6k02TCrn1Ov9BjmkqinpbQiOu1XkS8vk4JMqK7KfSjkQFN5dINwjqSAyPyhWqqqpQVVWVdLpFixahs7MTmzZtwrx58wAAL774IhRFMchqELz77rsAgLFjxxrL/elPf4rDhw8bVue1a9eipKQEM2bMSHFvGIYCjNcyMDAwZIaRkYCTBH6EMF1BgtT6TSwYAAAcjibA8zx4gbcoTgQ8z6dFrHKJVNRa/0Cg3Km1bqTVbbzbcr1IrXYugpIr3rEffsv3265Utj3ZvEHGuT1gCKKc+m+7//hk67eOJ8fBfGDB85zxf4jjObQOaMS2vjAGUGTV/sCIwR+qbkVO9aUOE2fJkYRjjz0Wy5Ytw4oVK7Bhwwa8/vrrWLlyJb74xS+irq4OAHDo0CFMnz7dUGB37dqFW2+9FZs2bcLevXvx1FNP4ZJLLsGpp56K448/HgBw5plnYsaMGfjKV76C9957D//+979xww034Bvf+AZTZUcIWBIyAwMDQ2YYFcQ2HdgVH8VDKZpc0AsAaOqPuxLFQPWiSWy0BEFDnoIglWWlZAnOslobdPkOIkwtkz6+9HRBX/Z57euxb78XKXcnmj61wgHCwJIS4TTILVmu17Hwnsf/AYfdbmz961YrzeFQn+Y9nlQQBeBOaBXb/0um1jKMdPzpT3/C9OnTccYZZ+Ccc87BySefjIceesgYn0gksH37diP1OBwO44UXXsCZZ56J6dOn47rrrsMFF1yAp59+2phHEAT885//hCAIWLRoES6++GJccskllr63DMMbjNcyMDAwZIZRbUXW7KPaL4WqAApUBxEgdmT6M/mrKjKm5GvtD1qiCSgw6wN5gQOvaLW1vOBiSQ5QA+lmDc3UkpyM0AZRlb1a3dDHLqha60be3IihfdmeJNKDZPptd3LQsj7vGK4oqmEdpm3JZBqLTdnYD16f1zqPw8pMLddYlz0FOYkl2e1aI9uXrRrKIGqx23T2ceTcCqIAQeSxo0sjtJ8o64IixaEqkuP/II1USW0mvVpHkktXVRSoSQLJvOZjGHxUVFTg0Ucf9Rw/adIkqKp5AdbX1+M///lP0uVOnDgRzz77bFa2kWHwUVuaN9SbwMDAwDCiMSqJraKoEKgbb0VVU7L4KIoMAdpNdJXYi+Kwip44h8ZYAtUBrJ5u94p+IUR2cAYZT+3OOlVSm2yaoMqfffpAdbQ+FuQgpNZVXaWGpaRYu5BZMsY6zPrZJLjmeK/62iDkluxLtsit17Spwo/UJlNryfl0e3Chchy2t/YBAD5Z1mYSWjl1QqtmkZ+NxLpTlorMwDDycVxdKW47bxbqyhjBZWBgYEgHo5LYAoCqBrf1uN00q4oMRZEhqjLmVUbxcmMBdvXGUVuaR92wq+B5FYoi6zfzhLSYZCJZmJBfoE8Qghu8R21yy2rQwCh3MpPcguxn4fUcp9dk2se5rZujCBUNt2NkOabUORB4gRrnTmgBp3pLyKqD/FLEISi5pfcrW+QWSF29dT+nwR58uCv1puWZ4zkc6I8jJikoD8uYWtADpTc1RVZRVCiqSUQV9cglaYqsJG0h5TUfAwPD8MGXF04Y6k1gYGBgGLEYMcRWUQByH02/T3k5qkk9aBsySUNWecl8r0iAHMOCik683FiAnT0DOLWy0Ai/IeB5Dm734/ak3CDpt27IpPY2aFCUn0U5GZnxUlYtw1zIqFv6sduy3JbB87yDyLoRW79jR5NbTn+vKipAlqdotnCeJ6TQJK08L+jnzIf8GtZkf1uyNk71tCWTecm+0eSWHqcdL31eH4KbLpJZ0U11lrd+NizIWr0ysSG/16LVr58wphuc1A9Zihv2Y+0lWdTbIKRXUZIrrjS/Hy1OXKbYMjAwMDAwMBzpGDHE1gt2kkvX1XrPQ9Q5Z40tgXFzLcWxsKwNQB0+7ooCHCCKAuKxhKPOViM15l//1itONY7etkzhdQyyRWq9VFi35Vrnc7b08VJpHYSJUmZpMutFbJM2uBdg1LFZiC306wgw1FwevCvBpd/7qbduDzjclHuvNkD2ack22scZx9mH4KYKez1tMhs4PZzMbw+pEkQebzVp9etn1zQDhMjqTgk/aNMwQkZDTTPhmKUiMzAwMDAwMIwWjHhim00oigzOlo6sKjJmFragJKygOw7s6o9jUkgAbUUmdmQ3+Km27jbl4L1GXdfnZydOISiKbLt9XLKaWqea7UJcPUit3XbsptASG6srseW8Sa4b6OOskpAhnexyimqQXPJeUVQIvABeUQ2CayW7TvXWrQ6XjKM/WwivfgxouzM5Bn7WZLIcGvQ5TJXkJktc9rONG5+NcZpaK5LQqN4YmvviKBJlnF7ZCCUWd/SQtveXpv8mg92VzHgwAwMDAwMDA8PoxogjtqqqGkpcqqFQnsvUb6JpW7KiyOAVGYoUR0juw/K6Dvx5byU2tvdj6rgyiCHBsJryCiFU7qptMnILwEFY7PCyMAdBtlVaeniytGILuUmR0LqRWeMv5zGc54xrwk3NBayqLPmsqCZ5dfxVncM5hdMDxlQoinY+FYOYktpFL5UXMK4NY7tcgql8rMnaZ+s4+/nyI7mpIsh14DyHmt1cFAXwPKeTWgHhiIgX97YBAD43rgUFai8kFxuytg/OIKlcIRVb8nBTjDUrcjo1tsNrPxgYGBgYGBgY0sWII7ZeUHViYed6xJqsqCp4hTP5A9xb/aiyDIjme1mKQZDi+NzYRvx5byU2tfTi8/Vl1M27v2pLt4Hxq7dNll4blMTa151sOUFUWno+12E+4U5eAVGWaQQeQQitoE/H6VZWenyvpKCxP46mvjga++NoiybQE5PQNSChayCBhO0GvjAsoDhPRElERElYRE1BGDUFIdQWhlGdF0K+wEOWFYPIypLiS3J5muASNZciuO6KbfLaW2Ma2Z3EetmT7ecq3WRkX4uxRyIynYRM19YSC3JzQsLbDd3goOLS+j1QpbhBYC39pGWrYuvoPZ0kOCob5NO+jHQWORgcWFHSrLEdZgSdgYGBgYGBgSFdjAhiq918pU7sSDKyNXhKCweiA6TIX1OxlaAqgnEzrUhxzC9qQF3RLDT0Kni/awCz8kOQErJxAw+J3OBbVVt3pdUZHESGa5/TT7TxCggKEiKVaj2tt+2UIrg2ldatjtaP0Aoib6izgshDEHnIAHZ1D2BnVxQ7O6PY0daP9mgi+EEC0B2T0NgT8xw/vjQPU0rzMaUsH1NL8zCxKALYSK4sKzqx9Se43mFT6duTtfHu4VIEXiTXDpLk7Qcvy7qf2m6+N9XaUFjAXz4+DAA4e3wPjsrrhByNQ5FiDiJL/totyfbetKTVT7L/NnRYWKoJypn0lh4MKLIChWepyAwMDAwMDAxHLkYEsc0F3EKmiGLEUeqRIsUhS3GEpX58aWIT7v6wBmsbujB3eg3CSshYligKkCRACwpyI7kA3QImWRhQNhAkQMorGMiPyGjz+fSb9SC0fgqtIPIOMkuIrCjyaIwm8EFLL95v7cWWxh7EbTfkHIDxJTymlAFTSmWML5RQEYqhIhxDeVhBHnWlKyrQm+DQEQ+hPRFBazyMfT0i9nRx2NOporVfwcGuARzsGsAr+zsAaArvzOpizKgswIzyAowtDEGRNZIrSwpUlVJ1FR6ypADQ7OqE5GqqGlFmYRBgP7uy9TM9zG+41aZsHR4sLTnZgxA3td5yrgWT0IohAaGwiHCeiI96Ytjc1IMQr2LV1I+hxHqMNGRZikORzFpbuw05WCqymuSzcx7VTe0NyGPJ8oaa96qyCpVn4VEMDAwMDAwMRy5GLLH1a/9jEsTk6cg8NKWWKLb2G2lVlqFIMShSHBeP2401H9dgf08M7/fEcFxBGJIkQxT1eltFI7O8YK13c9iOKVuyth3edtJ0EESdJdvhNj4btbRBFFpBr72krcWCoJFZVeCwtSOKTYd78N7hXrT0xS3bXlPIY14tMGdMDHNKu3BcaT/yeQlQJUCRAVU/j15kKASgAAAvAJxADgggRNAWC+H9rkK8312G91pEbGyU0R2T8dbBTrx1sBMAUJ4fwuzqInyiqgjHVRQgpAKyoBj2ZY7n3FVc/Vpwr8ENpuBq771VXPv5TFa/nQye14YvqdWCokhgVCgsIM5z+P3WJgDA5VOaMSXUAqlPU2uVhHl+SX2tl2qbDEGDo3LR6sfvv24uWwupaSq26ghQbM877zy8/PLLOOOMM/C3v/1tqDeHgYGBgYGBYZhiRBHbTPrXApr9UHCxNNOkluMFqp+t1Y5cih5ccVQL7t9ahf/b344ZM8ZqpFZWQOptNdupVa21t3+ha24BZ32tnXz4Ed1kRGUwCC357FVH66fQEkIrhgRIHPB+RxQbD/dgU1MP+hMmmYmIHBbWcTi5NopTx3RgWlE/OCWmEVgpBsShvadJLQDoJMn94FCXP0VuKzkBS0pELCkPA5MFyFwEH/aUYH17Bd5oEPF2g4SOaAIv7+vAy/s6EBY4HF9djLlVhZhdWYjCkGCQXGJdTkZwve3KcPlsDvMiuGQcfa7scLO8B7Gye9VUu5HacFjUHmCIPH63/TA6BiRMKY7h25O3Qo33G6qs/aUo7inIxIZM6mtVD17GakdHD6699lpcccUVeOSRR4Z6UxgYGBgYGBiGMUYUsQ0CvYTWgGoEzHDgea0eT4G1zhawklvajixLcXC8AInvhxDrwZXjtuHRPRVo6gdebuvD0qoibb36jbSUgEFw3azIloAgqteonVCko7J5kpIAfUi9hqej0NLzkkRcPzL7YXs/NrT04p3GbgxI5n5XFwBnje/D0rHd+GRFF/IQA+SYRl77ZI20EjILmH9VG5l1U/vsvYs50TqcUnIFXsTxYhjH1wj42lgRsU8W4J2OYrzQWIa1h/JxsFvFxsZubGzsBs8B08cUYm5VMeaOKURVfgiJuGxYlU27MmVPNmzK5LN+XfCqfp0I+jVCq/uCzcZsDqN30b+GMpgFWVuW/3VAXwM0qSUW5Gcau/FOcw8igop7Z72PPKkLUjwKOd4PJRE3bP+qImkPllzabnmptoqqplRf67oMo053ZBJiRVahpGFFHgmpyEuWLMHLL7881JvBwMDAwMDAMMwx4oltJi1/DEULVhsysSDTqq0ixSHHoygWO3HDjL34zjtT8fS+dhxXmodqvY6QBqm3dVpMXeylLr1GM62zDdqD1Gt4JpZj0ejz6yS0gqDZjD/o6MfbLb3Y1NSDGEVmxxdzWDa+B8vqujCntAO8HAPkOBCXTVKrHSjTdgyrsudFgOwp2DTo4RxNbgGN9PKCQXYjfA8WFXVg0dGHcMOMAmzrLcbaxlKsbSzFhy0KPmrpw0ctffgTgPElEcyvLsbsykJMKAxDIMFTkmLU4jpVXNNWbK/DJSRXPwjkrFF7Ymd4zuuIkN1kJNYyLIBST9fUavZjjdS+2NyDJ3e0AABum70Xs/IbIQ9EIUsxR4sfu1qbigU5WX2tMTzF4KiRgOFYY/vKK6/gzjvvxKZNm9DY2IgnnngC5557rmO6Bx98EHfeeSeampowe/Zs3H///ViwYEHOtouBgYGBgYFhdGJEElu6l61luF7bSOAWEOW5TBvpcVNtZSkGPh7FZyt34elx4/DioTz8z44WfH/mWIiSoM+nEVURgoXcmjZR7/pJwElIgygqfv1Jg7RroYenS2g1Muu0G5OXAuCjngFsbO7FpsM9FmW2voTHOfXdOKeuEzOLO8FJ/RphjcZMRVbRiS3gUPMInLbV5KSItxFdN4Jr+csLFqLLSVEcG+rEsZOb8a1pERyKFWNdcxmeb6zAhgYZB7tjONgdw5M7W1GeJ+ITVUWYM6YIR5dEAFnVjo1BdDWFVpJkffvNsCntszvJ9VNtnUQXcCO71mPi/VDELSBMU+VNFZ6Q2lBEwLMNXXhiZysA4LszGnFe9W4ofVEjKEpJxI3wKKPdFpznlU5D9rMhp8pZ3YKjvJCKmDvYwu9wTEXu6+vD7NmzccUVV+D88893nebxxx/HqlWrsGbNGixcuBD33XcfzjrrLGzfvh3V1dU52zYGBgYGBgaG0YcRQ2yNfrQeoVGW96r2j7PekAN4rZ8tsSOTO1CBh4Ms0aqtLMXBxaMAtNyhO459F59u/yQa++J4ZHcbvjqlEnyMWh9vJSNEjfOqn3QSEqea64dAtZEBQoDo6bxUOWMYVT9LyI2FzHLAx70xbNjfi03N3ehPmDfRdUUqlo/rwjl1bTi+uBOcHNWsxb1xixprr73UjgtNeqxBQ3YkU/wUFwXXSm5FfX+dJJe8aLI7TgjjkmoRl4wNo2tuEV4+XI61TeX4T0MeOgYkrDvQiXUHOpEv8phVVYQ5YwpxXFk+CsKCQXBDiqgruVarMiC42pW1Y0Lb2vV9UxQLcTdrbn0PiQHXmmuPtGui0ofCIkJhAarI4w+7W/HawS4AwLePOYhrxn8ENdpjsSATUkva/bjV3PqB2JDp/zuW99R/qaDhTWQeshy7jdl80BBseYOBTPvYdnd3W4ZHIhFEIpGMtunss8/G2Wef7TvNPffcgxUrVuDyyy8HAKxZswbPPPMMHn74YVx//fUZrZ+BgYGBgYHhyMKIIbaZgPSz9Z3GRfmjVVszITkOKR5FZbgFv5q/DV964zhsbunF4yKPCyeUG8uQ9OAjKQF41dtqcCbeap+ddbfJEKhXrU2ZtQxLos4CMOon7enGpG5W5Tl83BfTbMbNPRYyO7ZQ61366bpWzC5uN8nsQNywGdsJjdWa6kzLJfAjQHR/VAJOID2LXcZZiK1+LYAmtSbZ9SS6QgSlfA8+N6Ydn6sJIzY7D+s7KrC2eQzWHcrH4T4FGxq7saGxGxyAaeX5mD2mCLMrClAdEVyVXOsDEpPkAnAhupqiC9D2dhjj/ODV39grGEwUBb1PLQ8xLODAQAK/e/8wDvXEIHIqbpp9CBeNeR9qrB+yC6mlA6PcgqTc1NpksPa5dfavdTsE6dbX+iYhD5Jyq8gKFC59xba+vt4y/KabbsLNN9+cjU3zRDwex6ZNm7B69WpjGM/zWLp0KdavX5/TdTMwMDAwMDCMPuSU2D7zzDP48Y9/jC1btiAvLw+LFy/Gk08+mfX10HW2Qe3Iqs4x3dRdOkiKqLaKBMgUiVHiUcyJ7Mfdn8jDtzZOxauNmuLx/yaUQ3QoPFoCsiSBso36Jd7Sw4MjWT/SZGSWfPZS5WhCS4gMx3MAz2FnXwwbW/uw6XAv+qg045pCDmfX92J5XRvmFrWAV3QS60FmTYLjTmItZNZGWFNqCeMxLUnFNj4LLrW30KzphOzaia72iusktx/gRETEMJYUtWNJeQNunRHBB71lWNdSjRcbivBhi4yPO6L4uCOKvwIYkx/CcRVav9yjiyPI5zgjcMqi5FItfui6XO0v1RbIRmh5walSu8Ht2gCctnNBb+fTr6p4Yn8HXjzQAUUFqvJk3D9vOxYUHoQS7dEfCmmk1nK+dbU2qEoL6CFwNhtxuqWzw0l5HSocOHAAJSUlxudM1dogaG1thSzLqKmpsQyvqanBtm3bjM9Lly7Fe++9h76+PowfPx5//etfsWjRopxvHwMDAwMDA8PIQs6I7d///nesWLECt912G04//XRIkoQPPvggrWW5qR5edbaW+fzsyBxnGU962gKwBEkpigwk4uBDgCKZvTYTvABRkXFOyUeIz1Zw3bvT8GpjN3okBZdOrkSeJEASZcRjCSiKCkmSjRY/hj1ZMVu8EM5kBvsI1DZ7I0gAkG8bHw9l1q7I2etmIXDY2RvDptY+bGzuQU/cJCNV+SrOHteNc8a1YX5RM3hFD4DqsxJZRYpb1Fi3vqU0yaQJj71+NhVSmwyWgCk9YJnn3QiuSXw5XjBszd5kVwDHd4IXIjieb8bxdXvwnfoIGuOFeLG1Bi80lWJ9cx5aown851AX/nOoCxyAyWX5OK6iANNK8zCpIIx8jqNIrjVhWTs21HuqhjJVRZJW9+nrQhQFMwxM5BEFsLaxCy/s7zAU+s/Vd+LGae+hnOuGEo0iMdDjqKlVpLivBTmIWutmQzb2PYkNOZX62kyRa/KsyipULv3wqJKSEgux9cL111+PO+64w3earVu3Yvr06SlvixdeeOGFrC2LgYGBgYGBYfQiJ8RWkiRce+21uPPOO/HVr37VGD5jxoyMluumvvrV2drb/rjxYEUxW/8Qcmu3uCqAYUkm5JbU2wLAuZXbkP9JHt9+ZyrebelFY18MK46uxti8EABopJbnIEmy3sLFSnCTtWwxtpWQXpfUWhp+RNYyLEDfWZrEcAKH3X1xbGrUyGw3RWYr84Fl43uxfGwbPlnaDEHq18jsgElmFUJoqARccoztRNa9njY4mU2F6NqTkul5yThZMR96kCRmnnoAYliSBas1mVZ1eZuaS2zLY4UeXFTTjovGioiiABu6xuC1ljK8ergYH3dw2N0Zxe5O7XrjANQXR3BUWT6OKo5gclEeyiICOCNQSbWQXe0YmoSXwIvkel07PK+p87x+LUgcsLUnhg265VzSl3dc2QB+MGMPFpU0QI12QpbijqAoxbAgSxZSaz8H5jVgU2ZTUGvd2vwEIZle9bW+8wxh2LIiq1DSILap1uVed911uOyyy3ynmTJlSqBljRkzBoIgoLm52TK8ubkZtbW1KW0XAwMDAwMDA0NOiO0777yDQ4cOged5zJ07F01NTZgzZw7uvPNOzJw503O+WCyGWCxmfLYHmhDQBNYY5mFHNgNzOMv8JESKM0ixSZrdajflhEZoeTGikbOEqd4CwFmlH+OxEwfw9U3T0dgP3P7eISyfWIHTxxQhTxSsSbcKZyG42nBv6yiBPcHXOi55+rHdYky/96qbVQDsjcaxubkfGw/3oCtmHpvyPA7LxvfinLGtWFjaDFHV7cX9/b5k1t5WiT7ObkQ2CKEl1uV0YJ+XqK30ughxpT+7kl3FFjIlkDrcOBRLTS5NdKPaXzGMfK4Hi4s6sLhYAKZF0CyV4PX2CqxvLcXGtkLs61KxvyeG/T0xvKhvY77IY3xRBPVFYdQXRjAuP4TqvBDyeNEguUBwssYZ1wZnkFkJQPNAAnt74tjS3oeP2vqRoJYztzKGa6Y14PTS3eClfqhRrT2WLMXc04+p1j5uKi0Brb7ak5DtBNUrNMoc5r3fbiqvdV7bdD7keCgIrkZs06mxTW1jq6qqUFVVlfJ63BAOhzFv3jysW7fOaAOkKArWrVuHlStXZmUdDAwMDAwMDEcOckJsd+/eDQC4+eabcc8992DSpEm4++67sWTJEnz88ceoqKhwne/222/HLbfcEng9QezI1um9VF9nQrIxj62mk9Tb2sHxAmaHd+OfJ/Vg9bY5eP5AHp7a247Xm7px7sQKzCnJM1VbRYWUkDUyK5pkFwBFdBVfIusGv9AfO5HVxruT2ba4hG2dUXzUFcXW9n4MUHbW0giHs+r7sbyuDSeUNCKkxjQyG9XIrEKRFzuZdVNlFRfy6v3eeeCzaUG2L5NWcsm6Cemlp/EkuwhOdAUxAsQ1gsuLYUPNrRF6cH5FE86vigBCGC1yCTZ2lGNTeyE2tpdga5uKqKRgR2cUOzpNFwEAFIUEVOeHMCYvhNKwgOKQgOIQj6KQgBDHIcxzCPEceA6QFBWSAshQ0S8p6IzL6ErI6IhLaOiL41BvDHYONL4YWDq2G5+vO4gZ+YeBRBTqQD+l0mqkVpVlp1KryJBttbZ+FmQaNEENFiSV3riRhMFSbFNBb28vdu7caXzes2cP3n33XVRUVGDChAkAgFWrVuHSSy/F/PnzsWDBAtx3333o6+szUpIZGBgYGBgYGIIiJWIbtL6KKI0//OEPccEFFwAAfve73xnBH1/72tdc5129ejVWrVplfO7u7jbSOg3umaYd2VlvC4dqa0znQZZIvS0nWGs9SfANH4+iNBzFr6Z349nqKfjpR5PQFAX+Z/thjC0M4/SxJZhblo98cJAJwZVkW7qt1T5qrsd5Bx5IpaXUWDKcrpflBQ7tCRm7emLY3deLre1RNPdb1ejKiIwltT349NgWnFjaoJFZRQb6YkmJrB+JDUJgHWqtS8KxeYyyQ3LJAwX7ujhBcGyPW2sgerg1TVkAJJfWQYJgWtw9VV3tVSWGcXaBiLOLBGByGAkuD7v7C7G1rwxbuwuxtasA27oiaI1y6E3I6E3I2N09kJXjUhpWMKMshpPGdOKMMc04uqATnBQF5BiUXo24ylLMrJ9NxA1FVrtOJOOa8KuppUktAVFr6VRjQ4Gmam9pIuyXhpyt+trhkIgMAKqiQE2jJ62aQ2a/ceNGnHbaacZn8t1+6aWX4ve//z0A4MILL0RLSwtuvPFGw9nz3HPPOQKlGBgYGBgYGBiSISViG7S+qrGxEYC1pjYSiWDKlCnYv3+/57yp9E5M1Y5s2IxdVFtVgdHX1iDPcLO7ykbDHqLcWlU9jdiFACwv24rTTm7A/xw6Fv+zswqNfXH8aWcr/sJzmDumEAsrCzG1MIL8sGiQXP/QH3f1Nlk/Wnt9ZExV0RCTcLA3ip3dMezoiqIjZlVCRR6YN2YAp1R14tTKVswoaDXSjNUBk6zINFmx2Ytpa7EfkfUisW4E1ou4Zlu1lRXZUXerbYBZW2usW5YdrYM0FddUeB12ZhuxJWTXrU7X276svUK8gGMEAceUiji3XACEMMCL6JVDODBQjP0DhTjQn4fWeARtMRGtMREdMREDCo+YzGFA5iApQEQAQryKCC+jOKSgJi+B6rw4qiMxTCmM4rjCdtTlRcEpMUDSr4WobKizhrVYV2jN68NqPQ5Cai2H3CMwyjj+loCo1OppHVZmm904FQxlfe1wxZIlSwI9QFi5ciWzHjMwMDAwMDBkjJSIbdD6qnnz5iESiWD79u04+eSTAQCJRAJ79+7FxIkT09tSD7jZkYOotvaEZGNeFcZdqp3cKlIcvBjWGvHoyi0vRixpyeTGXJDiyA/H8c3xA7hsfDH+0jQJfz1Yh4/bVWw43IsNh3sR4jkcVZqHY0ryMKUwgto8Efk8D7fgHz/YE445noMMoC0uoXUggcYBCQf74jjQF8Ph/gTsSwzxwKwxMuaXd+GT5V1YWHYYRejVCIwqafWSHrWytL3YT5VNhci6EVgv8poLKzJZriu5hQvxtRFesi+0wmsnu2SYsT4fVTfV5GUAKOIFHCscxrFFIlCir4cXAI689/ivT86PKmv7pciAKmk1031WUqooeqseSp2n62bJ/wtVkYya9CCk1s2CbA+Msqu5dvjVEdvJltf/MaM2OQPCO1hQZVV7OJfGfAwMDAwMDAwMowE5qbEtKSnB1VdfjZtuugn19fWYOHEi7rzzTgDAF77whZSXR0ioPenYOo3eIzagastx5nzEkqzATnzdyS3HC1B5ARxVP0luzEkfVFmIgo/3Q4xHUSh24quVzbiipgDvR2vxt0N1+HdTOVqiArZ2RLG1w6yNLA0LqCuMoDJPRKHAozgsoEjkEeI5cAAEjgPPcYgrCmKyiriiYkBR8P/bu/f4KKpDD+C/3SSbgJCEkIQkbXjJuwJikBjurYLkY0CsUv3UR/kIQcRyhSteqNdYaxG4V0C4FC71U9sqob7FtiCtiEYogogI0SBgSIUL8ighSoQQHnnsnPvHZjczszOzM7Nv+H0/n3zIzpyZOXOyJPPbc+ZMQ7MbDS1unG12o/5SC+ovtepe5uZ0aMWAtEsYln4W16fXY2jnb9HB0eLphWtthjjvRmtrs1+I9bSp23KINRNgtSeEMh9w9RiV1wuuetuqe+fVy93qZbLAq3w2rv+26mHM8iHM8nJagdf3Wj3EWRZ89c5Z75zkPe6e1/6zWKuHmStDaquijFagVeyrbfixp6xQhEmjIche8smf2ifLalunGoYcLKsTR0XiPl7JZrAN5z22RERERJEUtufYLlmyBImJibj//vtx8eJFFBYWYvPmzejSpUvQ+/aGVG+YNdtrq54h2cyQZMA/3Mq5W5rhdCa0Pee2PeQmJLp8AdAzIVAyEhIvYnDiOQzp/TXm9euIQ5e64uPvMvHx6S7Yf7YDTjQ6cbbZjbPNF4JuIwDolCTQs1MLene+hEGdGzGwcwMGdTqDrs4GX0+caG2GuOSGu23oqKcd/O+TNRpaHGyQtRJg7fTQam0jn/TJyn60wrDWcvky9YRSkNwavbuBwy7Q3rMrX6Z1z668jFtV3iy/n6/O/dLKkNqqKC8PtPLy6tdeWqG2fZ2sbhq9qGY6VIUq5KpnQ7bymJ9Y6sAVbgkCNu6xtXFfLhEREVEsCluwTUpKwtKlS7F06dJwHcJPoF7b9nKeQOvXa+tw+IVbX3mDcCsfmuwdIuoNNglt/0qtzZDaZrtNSEyGM/EirnaeQZ+sY5iUkww4E3BedMChi2k4eL4zTjW5UN+cgtPNnnsimyUHWoUDbuHpuU5JkNAhQcJViRKuSmhFZnILspIvIcvVhBzXBfToeB5dnOfh8A4pbRtOKjU1wy0bSmqmJ06+zvu951/9IGvl+bOBXptdZ0WohzAHCrfq14HCbqBhzPJt9Xp3AePeWjPn5GXUOy9/H6h7aNvL6Adbo55awPP/WR1E5d8b3VsbbG+tmfCq/Wghe/uyiz22REREdKULW7ANNV8vrWp2ZDu9tloTSemFW/nVqDrceoOKfGiy05mgGXAdzgQ4WzzDmN0JFxX3RHonBUpxJuAaZwKu6Qg4OrUPLYVRINELnhc84Uk9lFQ9pNhXHtZ6Y632xJoJr6HopQ0msJoJfvKwaWadepl6CLOijeQhVFLuvz2gNit6ZNXHc6junZV0zknvXAP9XLTukdYLs95/jZbJZz+WTxRlFGr1hiB7thN+IVY9E7JWSA7EzPNro0mSJHvPsY3VE7rM1dfX49///d/x17/+FU6nE3fddRdWrFiBTp06aZY/cuQIevXqpbluzZo1vlt8tB5/9/rrr+Pee+8NXeWJiIhiVNwEW7O0Zkv29tpqTSSlF269ZawMSxaSWzfgAvDNcOtwJvjdK+l/f6T/cFT942qEDYNhpJ5z0w8b8n0aBVmzwdVsiA11T62VibfsHsMsqz266kCs6OGV1dPo/l359kY8H8BoPJxZVi/Fa7f2e0j+vV6g9f6r7m3VC7Ve6lCrDsSe7VSTQpl8pE+ohiFH6/5aij8TJ07EyZMnUVFRgZaWFkyZMgUPPfQQXnvtNc3y+fn5vqcNeP3+97/HkiVLMG7cOMXy8vJyjB071vc6PT095PUnIiKKRXERbIV38ihJ/SxaZa+tnHc4sq9HV2MiKfUsyYpwK7UtN3nPrTqkuCW3IuAC0Ay53uWA8b2Shu3j1g6VWj2p2iHE3L2xdntjzQ41DhQswzErrZ19Op2OsIVgo7DrfQ3oBF7AMPSqqR9TBPi/l7zUM1XrhVkz/+oNPfaUaXtt0FNrNAuy3hBkdW+tGfEwG7KXEG4IYf09aWcbCk51dTU2btyIXbt2Yfjw4QCAlStX4tZbb8XSpUuRl5fnt01CQgJycnIUy9auXYu7777br5c3PT3drywREdGVIC6CrZre7Mje4cjqe23l4VaSP6tWFm4dDo1wqx6W3HZwTznhCzi+4ciy7wH4hiijbVIpT3BtVjy+xfOv58fghnpYqfl7Io17TK09YsdOgDXTA6sXBgMFh1gLFupJyPwLtGquNxqqLF9uNFzZaJlfNXSW++h30vox+7MPFGa93xsFWs9y1XpVefXjgOTM9NTqTRplvI3WsewvCyVJSLaGFUuCXcqRtmPHDqSnp/tCLQAUFxfD6XRi586d+PGPfxxwH5WVlaiqqsJzzz3nt27GjBl48MEH0bt3b0yfPh1TpkzRHKIMAE1NTWhqavK9bmhosHFGREREsSHugq3Ve23lE0m1L1Nvay7cqo/rFWh4su9xQN4gK6l6aE0OH/UGYKNho95jKl6reuFCcU+snV5Zo/AQMNzGULaVD2fXLdP2vtJcZ/B+UTMzhNm7DPB/72gFZyvHDrQs0PtHa4KnUIRaZR20e2MD3Vur9eNRP7vWrGgPQxZCgrARUu1sQ8Gpra1Fdna2YlliYiIyMjJQW1trah8vvvgiBg4ciJEjRyqWz58/HzfffDM6duyI999/Hw8//DAaGxvxyCOPaO5n4cKFmDdvnr0TISIiijFxE2y1Zjc2oh6erB6SrDeZVMCeW0DRe+sLxlBe1Mt7cPX+9Q0j1Z0oSK3Z5LnbDySheO2pg3YyMAy3JsNEtHpwfcPWzRzezhDnIAOvdzlgPLmVXYEnlpKPADAfaD3rrIVa9X21wcyCbPUDl1j6kMVLkiRIFt4/8u0oNMrKyrB48WLDMtXV1UEf5+LFi3jttdfw1FNP+a2TLxs2bBjOnz+PJUuW6AbbJ554ArNnz/a9bmhoQH5+ftB1JCIiioa4CbZaAvXaGg1JVodbL72eWwDK+24BwOmA5BbKgCy1KoYoy/8F/CeH8pK/ljSWmWH23lW7w4bVy6yE10BhwGxYjWYHk1sScDgDlwOgPVa+jfcRK+oiukOcZT30RpNd6Q1xVgv0vgoUgAO9D4zCrGd7WdkAgVa+zE6oDVVvbTDDkCOBPbbRN2fOHJSWlhqW6d27N3JyclBXV6dY3traivr6elP3xv7pT3/ChQsXMGnSpIBlCwsLsWDBAjQ1NSE5OdlvfXJysuZyIiKieBQXwVZ+Ietw+k8iZbithXBrOKEUoOi9dThlF+uyHlw5bw+cmaGjge6/tCqUIRfQCat6wVbv3scAV/12rrHNznxrh3oIO2Cujor3ht6+2957muymo7YPVQIJtufWKMgCyuqbDbTyskZDjwOFWjkzE0YZzYRs9gOagB/axGAPL4VeVlYWsrKyApYrKirCmTNnUFlZiYKCAgDA5s2bIUkSCgsLA27/4osv4vbbbzd1rKqqKnTp0oXhlYiIrghxEWy12HqurSrcti/XDrfeRwEB0O299YYYRVDRuJLVC7l6s9569m1/8igz661M5mSlF9Yo1JkJhuEMq1ZYqYc8BBudo7fHV/f+W6PA66mU6TqFg5n3gf89sPKygQOtfJmZUKs8dlsZjZ+dmQmjgumtDbRNOEmS2+ZQZM6KHGkDBw7E2LFjMW3aNDz//PNoaWnBzJkzce+99/pmRD5x4gTGjBmDl156CSNGjPBte/DgQWzduhUbNmzw2+9f//pXnDp1CjfccANSUlJQUVGBZ555Bj//+c8jdm5ERETRFDfB1hs+te61NTskWbGNBDjbhhQb9dzK77v1aDu2KuAqhql6e3zbhil7jifrZVYNLdUbUmqnZ83uI3NC1fsaKLiafrZovI2QdJoMnG7tnmDfasn7ntRe7xs8oNMz6x3m7KuW+dvSdRmFOO1H78i3Vffu+m+rFWjl38sPYdRTqxVqrQxBVtbTxnD6KPbccihyfHn11Vcxc+ZMjBkzBk6nE3fddRf+93//17e+paUFNTU1uHDhgmK7VatW4fvf/z5uueUWv30mJSXhueeew3/8x39ACIE+ffpg2bJlmDZtWtjPh4iIKBbETbDVYjQkOdD9tooyBsOSgfYQ4XfvLdAecNuGKANovwfXs6K9TrKga3xi2vdUGrWDGXYmbrITYM09biVgkYB1iCb1z8XM+Xg/XDFqH+97M1Cvr+k2CUGytTqE3CjMqvdntZdWvj+roVavDupjGdXdzDZW1oeKkCRIsBFs4+4TpMtDRkYGXnvtNd31PXv21Bx18Mwzz+CZZ57R3Gbs2LEYO3ZsyOpIREQUb+Iq2FrptZWzG24B+PXeerZRDU8GFD123l5cQBVyAb+gESjshirUBR46GfoAa+aaOZjzi8SIZb3OVbP1lr8XjdrDTOgFlB+gBGIpAAdg9X1gFGYBe7208v2aDbXKevovs9NbG+g+22hkRQ5FJiIioitdXARbzwWrKqxK/hNJaQ1JBvR7bgH4TSgFAFLb/tQzJnv25R9wPWT1kw9LVQ091ZpZV34dbHZSrEDMBJpghw0H7M0yGapCFVBDEeL8PxSxvy+HxvvHoLSpUp7nKZvcpSyzGA1/1j1WEMPGjYKser1WDy2gHWjl9dKa/divrEZQ1powys69tVZ6a8Pdc8uhyERERHSli4tgK+cNr4DxLMlmem49+/OfUErdeyvfn7y31nst7R9g2o8rD9G+ZZJ+yPDr4bXJ7PVqJMKr1XAYzaHHwRzbaiiWZ00zx22frdtKndr2H+SnB3beB1qH1Au0gLVQqzyO9VCrd9xg763lyF4iIiKi6IibYBvoET/qWZIVy+ShNUC4BfyHJgPaw5O938uvtY1CrnffeiHDyjBTM0I5UVPA+ywt5KZgwmO077cN9B60sr2ZNrMaftXHCHXQsvM+sPJ4IDOB1kpPrd5xAw1BDra3NtIkSbI5FJlJnIiIiC4PcRNsAe3wKr/fNlC4BfyHJXuXGQ1N1gu4auqQ6z2+8rXBjLay3lrTw01V+7a+Teh6XK2EzlAG1HCFDK0fk916y5+NbGc7K8IV/s28D+xO1KQXaD1l7YVavZ5YrSHIeqHWSlPqbReJEMyhyERERHSli4tgq75oNQq3vnIa4VZO/pxbM723gH/A9e7bU86huDj2Hk8dBgLdd2lnuKkWq+Em1OHVTriKuV4wm/WxG4i1Qqyd7SIxqVagepkd0huOQKs+VqBQa4ZeUI2V96wkJFu9rxKDLREREV0m4iLY6gl0v63ZnlvPev9w613uK68RcAH/Xlx1yPUuA/RDh0MVlEMlnPe3WiobgtPSGj4aDeoPUdTMVlO9GztDja1sFy5WHyOl/jkaBVr1+nCE2kj11obzAwch3BA2hiILEduzIh87dgz3338/6urqkJiYiKeeego/+clPol0tIo+UNODSWaBTt2jXhIiIEEfBVhE8dcKr2XAr35/3QllvaDIA3R5cwD/k+g5qQ6hmRPZVw06vqcVtrB4inOE0VLcLBhoGHsw5yEOxnd0YDYWPJqMqad/Pqt7eOOwaPcon3KE21ntrgbZ7bB2XX49tYmIili9fjmuvvRa1tbUoKCjArbfeiquuuiraVSMCpmwEPlwMjP5FtGtCRESIo2ALhC/cAvoB17O98v5b+Tp1yPUez0s9ZFlNOdFPeK+UIzE8OJjQFyvz2ARbD6NgbLZ99HqFrTZvKD4rCdV7QHtCJvOBVr3eaBKqSIZaq9uSebm5ucjNzQUA5OTkIDMzE/X19Qy2FBu6DQLu/mO0a0FERG1sTFEUeboXkToXrL7n0UpCMZGMfKIY33LJeKijemZW+TM0/baVhO9LXi/1l+Lc2uoSiS+tdg30pSY/R60vLfK2MvqywvuziNSXpbqZPF+jcw7UzoHavL2dgv+yWj+9dmivk3+7av0/NPy/GGSovdx4J4+y8xUuW7duxY9+9CPk5eXB4XBg3bp1muWee+459OzZEykpKSgsLMSnn36qWa6yshJutxv5+flhqzMRERHFr7jpsVX2uprvuTUqo+69BZTDkwHjHlxA2YvrW+Y07pmTQjzkOBh2e1iD6dUM9pmq0RCqOjsd6vtjbe5H9pFUNO89NvWoKJ2209rWqIfW89pcoAWs99T6lQtRb20kSJIbksPG437CeI/t+fPnMXToUDzwwAO48847Ncu8+eabmD17Np5//nkUFhZi+fLlKCkpQU1NDbKzs33l6uvrMWnSJPzhD38IW32JiIgovsVNsDViJ9wC/s+m9ZRrW2cwRFm+Xh1y5fuQsxpEAk1QpCcUIScWQmusDEs2y+zjmcy2jzoA++0nRtsn0PmZCbNa5YwCrXq93+RUBuFXt1wIhxRHIuQKIUHA/uN+GhoaFMuTk5ORnJwcVJ3GjRuHcePGGZZZtmwZpk2bhilTpgAAnn/+ebzzzjtYtWoVysrKAABNTU2YMGECysrKMHLkyKDqRERERJevuBiK7KXXU+J5bTwsWV3Gf3/CryfHzNBIvSGWWvcOhmsoqulhqUEOjw12yG4ohujGKivnZraXM5zDpYNhpQ5G563+PyUvr1wWnlAb7L2xsdJbCwBCkjy9tha/RNtJ5OfnIy0tzfe1cOHCsNe5ubkZlZWVKC4u9i1zOp0oLi7Gjh07POclBEpLS3HzzTfj/vvvD3udiIiIKH7FRY+t+qJRa0iy57V+zy0A36RSADR7b737UKzX6cEFoHhUkJxWb66aUe9uJAQbhEJVb63eusuNQ6P3NRwTVEVjiLfZ89D7OettHyjMqssYBVp1WbPDj/2OZ2IIsuE2MfxWP3bsGFJTU32vg+2tNePbb7+F2+1Gt27KR6V069YNBw4cAABs374db775JoYMGeK7R/fll1/G4MGDw14/IiIiii9xEWwBVaC1EW4B/6HJgPWA61nWtj+NkKsuq96m/Xxi9yo32NAVibAa6Q8EzA411mK1PbSCsFos92oHOl+zYRYIHGiB8IVaO6E0WkE22KHIqampimCrp6ysDIsXLzYsU11djQEDBliui5Z//dd/hRTLb3YiIiKKGXETbAHjcAsEnlAKUIZbdVmt8uqAKz+e/Jjqi3l1ODG6NgsmNJkRyuvCUIbWeLpeDUcPq55wBOFQs1pHK2EWsBdotbYLR6g121trVK9QkyQJjgg8x3bOnDkoLS01LNO7d29T+8rMzERCQgJOnTqlWH7q1Cnk5ORYqhcRERFRXARb3aHIfiFUGW4BTyBV98bKhybLy6rLy7dRX1Rr9eS2rwt84R+ohzec4iWchvu5vqHiNDHRVyjaSS8cx8JwbrPnZ3byJqPyVgOtVv3CEWqjOexYCDeEjSkThMVZkbOyspCVlWX5OFpcLhcKCgqwadMmTJgwAYAnoG/atAkzZ84MyTGIiIjoyhG2YPuPf/wDjz32GLZv347m5mYMGTIECxYswOjRo4Pet9lw63mtPRsy4B9wveUB/yHK8u3k5eRl5XWQ0woksRBGjIQ6sMZLSLXD7rmZCcTK49g6jMZxI3Mcz74CDEvWWW030GptazaMGtVHvR8z9TCzLlQi1WNrRWNjIw4ePOh7ffjwYVRVVSEjIwPdu3cHAMyePRuTJ0/G8OHDMWLECCxfvhznz5/3zZJMREREZFbYgu1tt92Gvn37YvPmzejQoQOWL1+O2267DYcOHbI1zMwvwKrCLWDuvlut8mYCrnw7+bbysr51AYKuWriHIpupg719RuBe2hjPw8E8kthO+1kNw9rHDXoXqv2ZPw/j4Ki9MhSBVmsbK6/t9vhGSqR6bK3YvXu34oPM2bNnAwAmT56M1atXAwDuuecefPPNN/jVr36F2tpaXHvttdi4caPfhFJEREREgThEGLoOv/32W2RlZWHr1q344Q9/CAA4d+4cUlNTUVFRoXi8g5GGhgakpaXh5QlJ6JjUfkEvv7ZXX+f7vXaqX/sHA62soPUcWaNQYTZvhCKYhFK4wmmsB9JYFWNvD9vM/PyN3nt6j66yE2i1trM7/NjytrLX55sFHt7YgrNnz5qaqMkM7+/IaxxjkeBIsry9W7Rgn9gY0jpR/PK+n/h+ICKiWGHlb1NYemy7du2K/v3746WXXsJ1112H5ORk/O53v0N2djYKCgp0t2tqakJTU5Pv9dmzZwF4LgjlAoZZw3Db1jurMeGOcjv/XlzvMs8+AycQ7SLxm/giM6QyftsHiN4HF5E8rN0fUaCfrZUwC2gP57faSxuojNX9CYOQe7FVtJUJ/Xu8VTTbGlYsoTXkdaH45X1vNjQ0RLkmREREHt6/SWaun8ISbB0OBz744ANMmDABnTt3htPpRHZ2NjZu3IguXbrobrdw4ULMmzfPb/n0Dbz4IqLLw7lz55CWlhaSfblcLuTk5OBA7Wbb+8jJyYHL5QpJfSi+nTt3DgCQn58f5ZoQEREpmbl+sjQU2ewzDPv3748JEyagpaUFTz75JDp06IAXXngB69evx65du5Cbm6u5rbrHVpIk1NfXo2vXroaPNGloaEB+fj6OHTsWl8OnWP/oYv2jK97rD5g7ByEEzp07h7y8PDhDeGP9pUuX0NzcbHt7l8uFlJSUkNWH4pckSfjnP/+Jzp07h+QxYpfD/+1YwzYNPbZp6LFNQ+9KblMr10+Wgu0333yD06dPG5bp3bs3tm3bhltuuQXfffedovH79u2LqVOnoqyszOwhTYn3+4JY/+hi/aMr3usPXB7nQBRq/H8RemzT0GObhh7bNPTYpuZYGops9hmGFy5cAAC/VO10OiFF+qGtREREREREdFkLy4NmioqK0KVLF0yePBl79uzxPdP28OHDGD9+fDgOSURERERERFeosATbzMxMbNy4EY2Njbj55psxfPhwfPTRR3j77bcxdOjQkB8vOTkZc+fORXJycsj3HQmsf3Sx/tEV7/UHLo9zIAo1/r8IPbZp6LFNQ49tGnpsU3PC8hxbIiIiIiIiokgJS48tERERERERUaQw2BIREREREVFcY7AlIiIiIiKiuMZgS0RERERERHEtLoPtli1b4HA4NL927dqlu92oUaP8yk+fPj2CNW/Xs2dPv7osWrTIcJtLly5hxowZ6Nq1Kzp16oS77roLp06dilCN2x05cgRTp05Fr1690KFDB1x99dWYO3cumpubDbeLZvs/99xz6NmzJ1JSUlBYWIhPP/3UsPxbb72FAQMGICUlBYMHD8aGDRsiUk+1hQsX4vrrr0fnzp2RnZ2NCRMmoKamxnCb1atX+7VzSkpKhGrs7+mnn/arz4ABAwy3iZX2B7T/rzocDsyYMUOzfKy1P1E0WP2deyXbunUrfvSjHyEvLw8OhwPr1q1TrBdC4Fe/+hVyc3PRoUMHFBcX46uvvlKUqa+vx8SJE5Gamor09HRMnToVjY2NETyL2GHm76aZ66mjR49i/Pjx6NixI7Kzs/HYY4+htbU1kqcSU377299iyJAhSE1NRWpqKoqKivDuu+/61rNNg7No0SI4HA48+uijvmVsUxtEHGpqahInT55UfD344IOiV69eQpIk3e1uuukmMW3aNMV2Z8+ejWDN2/Xo0UPMnz9fUZfGxkbDbaZPny7y8/PFpk2bxO7du8UNN9wgRo4cGaEat3v33XdFaWmpeO+998ShQ4fE22+/LbKzs8WcOXMMt4tW+7/xxhvC5XKJVatWif3794tp06aJ9PR0cerUKc3y27dvFwkJCeLZZ58VX375pfjlL38pkpKSxN69e8NeV7WSkhJRXl4u9u3bJ6qqqsStt94qunfvbvheKS8vF6mpqYp2rq2tjWCtlebOnSt+8IMfKOrzzTff6JaPpfYXQoi6ujpF3SsqKgQA8fe//12zfKy1P1GkWf2de6XbsGGDePLJJ8Vf/vIXAUCsXbtWsX7RokUiLS1NrFu3TuzZs0fcfvvtolevXuLixYu+MmPHjhVDhw4Vn3zyidi2bZvo06ePuO+++yJ8JrHBzN/NQNdTra2t4pprrhHFxcXi888/Fxs2bBCZmZniiSeeiMYpxYT169eLd955R/zjH/8QNTU14he/+IVISkoS+/btE0KwTYPx6aefip49e4ohQ4aIWbNm+ZazTa2Ly2Cr1tzcLLKyssT8+fMNy910002KN0w09ejRQ/z61782Xf7MmTMiKSlJvPXWW75l1dXVAoDYsWNHGGpozbPPPit69eplWCZa7T9ixAgxY8YM32u32y3y8vLEwoULNcvffffdYvz48YplhYWF4mc/+1lY62lGXV2dACA+/PBD3TLl5eUiLS0tcpUKYO7cuWLo0KGmy8dy+wshxKxZs8TVV1+t+yFarLU/UaRZ/Z1L7dTBVpIkkZOTI5YsWeJbdubMGZGcnCxef/11IYQQX375pQAgdu3a5Svz7rvvCofDIU6cOBGxuscq9d9NM9dTGzZsEE6nU/Gh5G9/+1uRmpoqmpqaInsCMaxLly7ihRdeYJsG4dy5c6Jv376ioqJCcZ3MNrUnLociq61fvx6nT5/GlClTApZ99dVXkZmZiWuuuQZPPPEELly4EIEaalu0aBG6du2KYcOGYcmSJYZDByorK9HS0oLi4mLfsgEDBqB79+7YsWNHJKpr6OzZs8jIyAhYLtLt39zcjMrKSkW7OZ1OFBcX67bbjh07FOUBoKSkJGbaGUDAtm5sbESPHj2Qn5+PO+64A/v3749E9XR99dVXyMvLQ+/evTFx4kQcPXpUt2wst39zczNeeeUVPPDAA3A4HLrlYq39iSLFzu9c0nf48GHU1tYq2jMtLQ2FhYW+9tyxYwfS09MxfPhwX5ni4mI4nU7s3Lkz4nWONeq/m2aup3bs2IHBgwejW7duvjIlJSVoaGjg73MAbrcbb7zxBs6fP4+ioiK2aRBmzJiB8ePH+133sE3tSYx2BULhxRdfRElJCb7//e8blvvpT3+KHj16IC8vD1988QUef/xx1NTU4C9/+UuEatrukUcewXXXXYeMjAx8/PHHeOKJJ3Dy5EksW7ZMs3xtbS1cLhfS09MVy7t164ba2toI1FjfwYMHsXLlSixdutSwXDTa/9tvv4Xb7Vb8pwc87XbgwAHNbWprazXLR7udJUnCo48+in/5l3/BNddco1uuf//+WLVqFYYMGYKzZ89i6dKlGDlyJPbv3x/w/0g4FBYWYvXq1ejfvz9OnjyJefPm4Yc//CH27duHzp07+5WP1fYHgHXr1uHMmTMoLS3VLRNr7U8USXZ+55I+7+89o9+JtbW1yM7OVqxPTExERkZGTPzejCatv5tmrqf0/g55112p9u7di6KiIly6dAmdOnXC2rVrMWjQIFRVVbFNbXjjjTfw2Wefac4PxPepPTEVbMvKyrB48WLDMtXV1YqJZ44fP4733nsPa9asCbj/hx56yPf94MGDkZubizFjxuDQoUO4+uqr7Ve8jZX6z54927dsyJAhcLlc+NnPfoaFCxciOTk56LrYYaf9T5w4gbFjx+InP/kJpk2bZrhtuNv/cjdjxgzs27cPH330kWG5oqIiFBUV+V6PHDkSAwcOxO9+9zssWLAg3NX0M27cON/3Q4YMQWFhIXr06IE1a9Zg6tSpEa9PMF588UWMGzcOeXl5umVirf2JiK5UZv9ukjn9+/dHVVUVzp49iz/96U+YPHkyPvzww2hXKy4dO3YMs2bNQkVFBSeYDKGYCrZz5swx7AkBgN69eytel5eXo2vXrrj99tstH6+wsBCAp8cxFMHKTv3ldWltbcWRI0fQv39/v/U5OTlobm7GmTNnFJ/enDp1Cjk5OcFU28dq/f/5z39i9OjRGDlyJH7/+99bPl6o219LZmYmEhIS/GaRM2q3nJwcS+UjYebMmfjb3/6GrVu3Wu71S0pKwrBhw3Dw4MEw1c6a9PR09OvXT7c+sdj+APD111/jgw8+sDzCINbanyic7PzOJX3eNjt16hRyc3N9y0+dOoVrr73WV6aurk6xXWtrK+rr66/oNtf7u2nmeionJ8dvJm/ve/pKblOXy4U+ffoAAAoKCrBr1y6sWLEC99xzD9vUosrKStTV1eG6667zLXO73di6dSt+85vf4L333mOb2hBT99hmZWVhwIABhl8ul8tXXgiB8vJyTJo0CUlJSZaPV1VVBQCKPxaRrL+6Lk6n0284kVdBQQGSkpKwadMm37KamhocPXpU0TsUqfqfOHECo0aNQkFBAcrLy+F0Wn8rhbr9tbhcLhQUFCjaTZIkbNq0SbfdioqKFOUBoKKiImTtbIUQAjNnzsTatWuxefNm9OrVy/I+3G439u7dG9Z2tqKxsRGHDh3SrU8stb9ceXk5srOzMX78eEvbxVr7E4WTnd+5pK9Xr17IyclRtGdDQwN27tzpa8+ioiKcOXMGlZWVvjKbN2+GJEm+D5CvJIH+bpq5nioqKsLevXsVHxhUVFQgNTUVgwYNisyJxAFJktDU1MQ2tWHMmDHYu3cvqqqqfF/Dhw/HxIkTfd+zTW2I8uRVQfnggw8EAFFdXe237vjx46J///5i586dQgghDh48KObPny92794tDh8+LN5++23Ru3dvceONN0a62uLjjz8Wv/71r0VVVZU4dOiQeOWVV0RWVpaYNGmSbv2F8Ez73b17d7F582axe/duUVRUJIqKiiJe/+PHj4s+ffqIMWPGiOPHjysea6JX/2i2/xtvvCGSk5PF6tWrxZdffikeeughkZ6e7ptF7v777xdlZWW+8tu3bxeJiYli6dKlorq6WsydOzdqj5v5t3/7N5GWlia2bNmiaOcLFy74yqjrP2/ePN+jmCorK8W9994rUlJSxP79+yNefyGEmDNnjtiyZYs4fPiw2L59uyguLhaZmZmirq5Os/6x1P5ebrdbdO/eXTz++ON+62K9/YkiLdDvXFI6d+6c+Pzzz8Xnn38uAIhly5aJzz//XHz99ddCCM/jftLT08Xbb78tvvjiC3HHHXdoPu5n2LBhYufOneKjjz4Sffv2vWIf92Pm72ag6ynvY1RuueUWUVVVJTZu3CiysrKu6MeolJWViQ8//FAcPnxYfPHFF6KsrEw4HA7x/vvvCyHYpqGgfnoI29S6uA629913n+5zXA8fPqx41uTRo0fFjTfeKDIyMkRycrLo06ePeOyxx6LyHNvKykpRWFgo0tLSREpKihg4cKB45plnxKVLl3TrL4QQFy9eFA8//LDo0qWL6Nixo/jxj3+sCJORUl5eLgBofunVP9rtv3LlStG9e3fhcrnEiBEjxCeffOJbd9NNN4nJkycryq9Zs0b069dPuFwu8YMf/EC88847Eamnml47l5eX+8qo6//oo4/6zrVbt27i1ltvFZ999lnkK9/mnnvuEbm5ucLlconvfe974p577hEHDx70rY/l9vd67733BABRU1Pjty7W258oGox+55LS3//+d83f897fK5Ikiaeeekp069ZNJCcnizFjxvj9Ljp9+rS47777RKdOnURqaqqYMmWKOHfuXBTOJvrM/N00cz115MgRMW7cONGhQweRmZkp5syZI1paWiJ8NrHjgQceED169BAul0tkZWWJMWPG+EKtEGzTUFAHW7apdQ4hhIhI1zARERERERFRGMTUPbZEREREREREVjHYEhERERERUVxjsCUiIiIiIqK4xmBLREREREREcY3BloiIiIiIiOIagy0RERERERHFNQZbIiIiIiIiimsMtkREREREBkaNGoVHH33U0jalpaWYMGFC0Md2OBxYt25d0PshutwlRrsCRERERESxYMuWLRg9ejS+++47pKenB7WvFStWQAgRmooRUUAMtkREREREIZaWlhbtKhBdUTgUmYiIiIji3qhRozBz5kzMnDkTaWlpyMzMxFNPPaXoNX355ZcxfPhwdO7cGTk5OfjpT3+Kuro6AMCRI0cwevRoAECXLl3gcDhQWlrq21aSJPznf/4nMjIykJOTg6efftqwPuqhyKNGjcIjjzxiuI+vvvoKN954I1JSUjBo0CBUVFT47ffYsWO4++67kZ6ejoyMDNxxxx04cuQIAODAgQPo2LEjXnvtNV/5NWvWoEOHDvjyyy9NtCJR/GKwJSIiIqLLwh//+EckJibi008/xYoVK7Bs2TK88MILvvUtLS1YsGAB9uzZg3Xr1uHIkSO+8Jqfn48///nPAICamhqcPHkSK1asUOz7qquuws6dO/Hss89i/vz5msEzUP309iFJEu688064XC7s3LkTzz//PB5//HHF9i0tLSgpKUHnzp2xbds2bN++HZ06dcLYsWPR3NyMAQMGYOnSpXj44Ydx9OhRHD9+HNOnT8fixYsxaNAgO01KFDccgoP/iYiIiCjOjRo1CnV1ddi/fz8cDgcAoKysDOvXr9ftrdy9ezeuv/56nDt3Dp06ddK9x3bUqFFwu93Ytm2bb9mIESNw8803Y9GiRZr7Li0txZkzZ3wTPwXax/vvv4/x48fj66+/Rl5eHgBg48aNGDduHNauXYsJEybglVdewX/913+hurrad47Nzc1IT0/HunXrcMsttwAAbrvtNjQ0NMDlciEhIQEbN270lSe6XPEeWyIiIiK6LNxwww2KAFdUVIT/+Z//gdvtRkJCAiorK/H0009jz549+O677yBJEgDg6NGjAXs0hwwZonidm5vrG8ZsltE+qqurkZ+f7wu13vrL7dmzBwcPHkTnzp0Vyy9duoRDhw75Xq9atQr9+vWD0+lUBH2iyxmDLRERERFd9s6fP4+SkhKUlJTg1VdfRVZWFo4ePYqSkhI0NzcH3D4pKUnx2uFw+IKxWcHuo7GxEQUFBXj11Vf91mVlZfm+37NnD86fPw+n04mTJ08iNzfXUj2J4hGDLRERERFdFnbu3Kl4/cknn6Bv375ISEjAgQMHcPr0aSxatAj5+fkAPEOR5VwuFwDA7XZHpsIyAwcOxLFjxxRB9JNPPlGUue666/Dmm28iOzsbqampmvupr69HaWkpnnzySZw8eRITJ07EZ599hg4dOoT9HIiiiZNHEREREdFl4ejRo5g9ezZqamrw+uuvY+XKlZg1axYAoHv37nC5XFi5ciX+7//+D+vXr8eCBQsU2/fo0QMOhwN/+9vf8M0336CxsTFidS8uLka/fv0wefJk7NmzB9u2bcOTTz6pKDNx4kRkZmbijjvuwLZt23D48GFs2bIFjzzyCI4fPw4AmD59OvLz8/HLX/4Sy5Ytg9vtxs9//vOInQdRtDDYEhEREdFlYdKkSbh48SJGjBiBGTNmYNasWXjooYcAeIbqrl69Gm+99RYGDRqERYsWYenSpYrtv/e972HevHkoKytDt27dMHPmzIjV3el0Yu3atb76P/jgg/jv//5vRZmOHTti69at6N69O+68804MHDgQU6dOxaVLl5CamoqXXnoJGzZswMsvv4zExERcddVVeOWVV/CHP/wB7777bsTOhSgaOCsyEREREcW9UaNG4dprr8Xy5cujXRUiigL22BIREREREVFcY7AlIiIiIiKiuMahyERERERERBTX2GNLREREREREcY3BloiIiIiIiOIagy0RERERERHFNQZbIiIiIiIiimsMtkRERERERBTXGGyJiIiIiIgorjHYEhERERERUVxjsCUiIiIiIqK4xmBLREREREREce3/AWCvg90rMaQ7AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 4))\n", "plt.subplot(121)\n", "plt.imshow(\n", " z,\n", " extent=(x.min(), x.max(), y.min(), y.max()),\n", " norm=colors.SymLogNorm(linthresh=0.1, vmin=-175, vmax=175),\n", " cmap='PuOr_r',\n", " origin='lower',\n", " interpolation='nearest'\n", ")\n", "plt.plot(*paths['path'].T)\n", "plt.plot(*init_guess[0], 'x', ms=10, color='C0')\n", "plt.plot(*init_guess[1], 'x', ms=10, color='C1')\n", "plt.colorbar()\n", "\n", "plt.subplot(122)\n", "plt.xlabel('path index')\n", "plt.ylabel('function value on contour')\n", "plt.plot(paths['value'].T);" ] }, { "cell_type": "markdown", "id": "91f5c7c2", "metadata": {}, "source": [ "In both cases we see that the value along the contours are within the default tolerance of {math}`10^{-6}`. Before we move on to our next example, let's take a closer look at the generated path. For clarity we will look at the smaller path, but this time plot the scatter points:" ] }, { "cell_type": "code", "execution_count": 10, "id": "66783b6c", "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZcAAAGdCAYAAADe/T5rAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAWsklEQVR4nO3dX4hc9fk/8GfiD2LRnaERAoZsQKQoNqwl4EUQJNYoBBHjdcGteNOyisEbv7kqhcIGvOmNDaEtVWhDSoUkVyHkJhu8EJLaQNoLoSC4kAS9mtks7Vay87sIG41JZufPmXM+n3NeL1gku5vMx92Z8z6f53nOmVa/3+8HABRoS9ULAKB+hAsAhRMuABROuABQOOECQOGECwCFEy4AFE64AFC4/1f2A66vr8fVq1djZmYmWq1W2Q8PwAT6/X6srKzEjh07YsuW++9PSg+Xq1evxuzsbNkPC0CBlpeXY+fOnff9eunhMjMzExG3FtZut8t+eAAm0Ov1YnZ29vax/H5KD5eNUli73RYuAJnarK2hoQ9A4YQLAIUTLgAUTrgAUDjhAkDhhAsAhRMuABROuABQOOECQOGECwCFEy4AFE64AFA44QIMr3ct4vyRW/+FAYQLNMlm4bDZ1z/7KOLzM7f+W/S/Ta0IF6iTScJhmK/vmY944sCt/xb9bwufWin9/VyACfSu3To475mPaD9699c3DuAREfv+7+6vb4TCvcJhmK+3H733v1vEv73Z2slKq9/v98t8wF6vF51OJ7rdrjcLg+/bLDzOH7l1AH7iwL0PwJv9/ZRttvac/99qZNhjuJ0LlGnaO49BO4vUbbZ2O5usCBcoU5PDY1Kb/WzsbJIiXKBogw5ywmN8djZZES5QtEEHOeExPYOC266mdMIFRrXZgWqz3QnTMSi47WpKJ1xgVJsdqOxO0iPwS+ciSvi+zS7mG3QhIWnaCPz7jTi7eLNwwgW+b7MryQcdqMjPZr9vxqIsRjNNMtFFvfh9T4WdC8006GzVzqRZlMymQrhQT/omFEHJbGzKYtSTiS6KoGQ2NuFCPTkoUAQnIWNTFiNfg0pf+iZMm37MQMKFfKmHUyXPv4GUxUiX26yQMs+/gYQL6dKUJ2WefwMJF9LlzBCypedCtTTlqSPNfuFCxTRFqSPPa2UxKqb0RR15Xker3+/3y3zAXq8XnU4nut1utNvtMh+aqngXQKiNYY/hymJMnxIBNI6yGNOnRACNY+fC5DabjDH1BY0jXJicsheMpgGjyspiTE7ZC0az2d0nakC4MDm3wYDRNOCETFmM4TRgGw+laUAfUrgwHH0VYATKYgynAdt4oDh2LnzLTSShWjUqPwsXvqX0BdWq0WtQWYxvKX1BtWr0GnTjSgCG5saV3FuNarpAuoRL09SopgukS8+laWpU04Xay/i9kOxc6shIMdRDxpUGO5c6asBN8aARMq40CJc6yvgJCXxHxjeFFS51lPETEqgHPZdcGSkGEiZccpVxow+oP2WxXOmrQDNlMp5s55IrI8XQTJlULexcUpbJGQpQokyqFnYuKcvkDAUoUSZVCzuXlGVyhgLwfcIlZa5XATKlLFY116sANTRRuBw5ciRarVYcOnSooOU0kL4KMK6ET07HLotdvHgxjh07FnNzc0Wup3n0VYBxJXyT2rF2Ljdu3Iif/exn8fvf/z5++MMfFr2mZslk8gNI0J75iCcOJHlyOla4LCwsxMsvvxz79+/f9HvX1tai1+vd8dFICW9fgUwlfHI6clnsxIkT8dlnn8XFixeH+v7FxcX49a9/PfLCaifh7StA0UbauSwvL8c777wTf/nLX+LBBx8c6u8cPnw4ut3u7Y/l5eWxFpq9hLevAEVr9fv9/rDffOrUqXjttdfigQceuP25mzdvRqvVii1btsTa2todX7uXXq8XnU4nut1utNvt8VcOQOmGPYaPVBZ74YUX4sqVK3d87o033ognn3wy3nvvvU2DBYApSexehCOFy8zMTOzevfuOzz300EPxyCOP3PX5Rkrslws0SGJ9Xbd/KVJiv1ygQRK7Zm7icDl//nwBy6iJxH65QIMkdi9CO5ciJfbLBaiKG1cCUDjhMg5X2wMMJFzG4U7GAAPpuYxD4x5IWQKXRdi5jCPhm8UBpFBdsXMZJIH0BxhZAtUVO5dBEkh/gJElUF2xcxkkgfQHyJFwGcRFkQBjURYDoHDCBaCuKrzgW7hEuOIeqKcKh5L0XCLcKh+opwqHkoRLhKkwoJ4qHEoSLhGmwgAKpucCQOGaFS4a9wClaFa4uJ0LQCma1XPRuAeaqIKb8DZr55LAzdwASldB1aZZOxeAJqqgaiNcAOqugsst6lsWMxkGUJn6hovJMIDK1LcsZjIMoDL1DRe3dAGoTH3LYgB8q+Q+tHABaIKS+9D1LYsB8K2S+9D12bkYPQa4v5LvUFKfcDF6DJCM+pTFjB4DJKM+4WL0GCAZ9SmLAZAM4QLQFCUOPgkXgKYocfAp355LBe+sBpC1Egef8t25GD0GGE2J17rku3MxegyQrHzDxegxQLLyLYsBkCzhAkDhhAtAU7jOZQB3PwYYj+tcBtj44URo6AOMosQp2/zCxQgywHhKnLLNL1yMIAMkL7+eCwDJEy4AFE64AFA44QLQFK5zGcB1LgDjcZ3LAK5zARiP61wGcJ0LwHhc5zKA61wAkpdfzwWA5AkXAAonXACawijyEIwkA4zGKPIQjCQDjMYo8hCMJAOMxijyEIwkAyQr354LAMkSLgAUTrgAUDjhAtAEJV++UY9wcc0LwGAlXuMSMWK4HD16NObm5qLdbke73Y69e/fGmTNnprW24ZX8QwPIzp75iCcOlHb5xkijyDt37owjR47Ej370o+j3+/HRRx/Fq6++Gv/4xz/ixz/+8bTWuDnXvAAMVvLlG61+v9+f5B/Ytm1bvP/++/Hmm28O9f29Xi86nU50u91ot9uTPDQAJRv2GD72RZQ3b96Mv/3tb7G6uhp79+697/etra3F2traHQsDoN5GbuhfuXIlHn744di6dWv84he/iJMnT8ZTTz113+9fXFyMTqdz+2N2dnaiBQOQvpHLYv/73//iyy+/jG63Gx9//HH84Q9/iKWlpfsGzL12LrOzs8piABkatiw2cc9l//798fjjj8exY8cKXdhEetduTY7tmb/VxAJouoKOi8Mewye+zmV9ff2OnUkSjCYD3Knk4+JIDf3Dhw/HgQMHYteuXbGyshLHjx+P8+fPx9mzZ6e1vvEYTQa4U8nHxZHC5auvvorXX389rl27Fp1OJ+bm5uLs2bPx4osvTmt943E7foA7lXxcHClc/vjHP05rHQDUSD3uLQZAUpoRLm5sCVCqZoSL6TGAUo19+5esmB4Dmqqi6/6asXPZmJJwQSXQNBVVbpqxcwFoqooqN8IFoM4quu6vGWWxezFBBjA1zQ0XE2QAU9PcspgJMoCpaW64uP8YwNQ0tywGUHcV9paFC0BdVdhbbm5Z7F68gyVQJxX2lu1cvssEGVAnFd6dxM7lu0yQARRCuHyXCTKAQiiLAVA44QJA4YTLZtyDDMhRxccu4bIZE2RAjio+dmnob8YEGZCjio9drX6/3y/zAXu9XnQ6neh2u9Fut8t8aAAmNOwxXFkMgMIJFwAKJ1zGZYoM4L6Ey7hMkQEpSuTE17TYuEyRASnaOPGNqPR2VsJlXO5DBqQokRNf4QJQJ4mc+Oq5AFA44VKkRBppAFUTLkUyQQYQEXouxUqkkQZQNTuXIlX4ftVAwyVWlhcuAHWQWFleWQygDhIry9u5TFtiW1WgphIrywuXaUtsqwpQBmWxaUtsqwpQBuEybYncigGgTMpiABROuADkLNGhIeFSlUSfEEBmEh0a0nOpSiJv6ANkLtGhIeFSlUSfEEBmEh0aEi5VSfQJAVAEPRcACidcUqPRD9SAcElNopMfQGISPxHVc0mNRj8wjMQnToVLajT6gWEkfiIqXABylPiJqJ4LAIUTLjlIvHEH8H3CJQcmyIDM6LnkIPHGHcD32bnkILH3xgYqklGJXLgA5CKjErmyWM561249yfbM29VAE2RUIrdzyVlGZzFAATIqkdu55CyjsxigWYRLzhK/QhdoLmUxAAonXABSltH48XcJl7rJ9IkI3Eemgzt6LnWT+Hs8ACPKdHBHuNRNpk9E4D4yHdwZqSy2uLgYzzzzTMzMzMT27dvj4MGD8fnnn09rbYwjozl4oL5GCpelpaVYWFiITz/9NM6dOxfffPNNvPTSS7G6ujqt9QGQoVa/3++P+5e//vrr2L59eywtLcVzzz031N/p9XrR6XSi2+1Gu90e96EBqMCwx/CJpsW63W5ERGzbtu2+37O2tha9Xu+ODypgigzykvlrduxwWV9fj0OHDsWzzz4bu3fvvu/3LS4uRqfTuf0xOzs77kMyiUzHGaGxMn/Njl0W++UvfxlnzpyJTz75JHbu3Hnf71tbW4u1tbXbf+71ejE7O6ssVjZ3UIa8JPqaHbYsNla4vPXWW3H69Om4cOFCPPbYY1NZGADpGfYYPtJ1Lv1+P95+++04efJknD9/fuRgAaAZRuq5LCwsxJ///Oc4fvx4zMzMxPXr1+P69evxn//8Z1rrY5oybxgC6RopXI4ePRrdbjf27dsXjz766O2Pv/71r9NaH9OUecMQSNfIZTFqxK1igClxV+Qmc6sYSEuNStXCBSAVNSpVuysyQCpqVKq2c+FuNdqaQ1ZqVKoWLtytRltzoBrKYtytRltzoBrChbtl+s53QDqUxQCqVNMep3BheDV9EUClatrjVBZjeBsvgghlMyhKTXucwoXh1fRFAJWqaY9TuDC8mr4IgOLpuQBQOOECQOGEC5MxQQaja8DrRrgwmZqOUcJUNeB1o6HPZEyQwega8Lpp9Ut+e8lerxedTie63W602+0yHxqACQ17DFcWA6BwwgWAwgkXpqMB0zDA/QkXpqMB0zAwtAaebJkWYzoaMA0DQ2vgTV+FC9PhPmTwrQaebAkXgGlr4MmWngvlaWDdGZpKuFAeTX5oDGUxytPAujM0lXChPA2sO0NTKYsBTEPDe4zCBWAaGt5jVBajer1rt16Ae+Zvlc6gDhreY7RzoXoNP8OjpjZ6jA09YbJzoXoNP8ODOhIuVM8UGdSOshgAhRMupKnhY5xkyHP2DsKFNGnykxvP2TvouZAmTX5y4zl7h1a/3++X+YC9Xi86nU50u91ot9tlPjQAExr2GK4sBkDhhAsAhRMu5MVEDmRBuJAXEzmkwonOQKbFyIuJHFKxcaIT4Q4T9yBcyItbxZAKJzoDCReAcTjRGUjPhXpQ/4akCBfqQaMfkqIsRj2ofzNt3jF1JHYu1EPD3/WPEtgdj8TOBWAYdscjES4AwzAdNhJlMerLBBlURrhQX2rkUBllMepLjRwqY+dCfZkgYxLKqhMRLgD3oqw6EWUxgHtRVp2InQvNo9zBMJRVJyJcaB7lDpg6ZTGaR7kDpk640DyutIapUxYDiNCLK5hwgQ0OLs2mF1coZTHYsHFwiVA2ayK9uEIJF9jg4NJsenGFEi6wwcEFCjNyz+XChQvxyiuvxI4dO6LVasWpU6emsCwAcjZyuKyursbTTz8dH3zwwTTWA1AOAxxTNXJZ7MCBA3HgwIFprAXS07t2q9G/Z95tQOrGAMdUTb3nsra2Fmtra7f/3Ov1pv2QUBwHoPoywDFVU7/OZXFxMTqdzu2P2dnZaT8kFGfPfMQTBxyA6siNKadq6uFy+PDh6Ha7tz+Wl5en/ZBQHAcgGMvUy2Jbt26NrVu3TvthAEiI27/AOEwawUAjh8uNGzfi8uXLcfny5YiI+OKLL+Ly5cvx5ZdfFr02SJf7UOXFyUDpRi6LXbp0KZ5//vnbf3733XcjImJ+fj4+/PDDwhYGSTNplBdTf6UbOVz27dsX/X5/GmuBfLhVTF6cDJTOvcWA+nMyUDoNfSiS2j5EhHCBYmn0Q0Qoi0Gx1Par535wSbBzgSK5or96do9JsHMB6sXuMQnCBagXk2FJUBaDMpgio2GEC5RBH4CGURaDMugDTIfJsGTZuUAZTJFNhx1hsuxcgHzZESbLzgWqpNE/GTvCZAkXqJKyDjWlLAZVUtahpuxcoErKOsNTQsyKcAHyoISYFWUxSJHrN+6mhJgVOxdIkbP0uykhZsXOBVLkLJ3M2blAipp8lq5xXwvCBXLShAOvkmAtKItBTjYOvBH1fc8SJcFaEC6QkyYceL3ZVy0IF8iJAy+Z0HOBusitH5PbehmJcIG6yK0Rntt6GYmyGNRFbv2Y3NbLSFr9fr9f5gP2er3odDrR7Xaj3W6X+dAATGjYY7iyGDRBVf0NfZXGEi7QBFX1N/RVGkvPBZpgUH9jmndg1ldpLDsXaIJB9yrbbHexWWlr0NebfI+0hrNzgabbbHex2S1nmnBLGkYmXKDpNrvqf7PwUfriHowiAzA0o8gAVEa4AFA44QJA4YQLAIUTLgAUTrgAUDjhAkDhhAsAhRMuABROuABQOOECQOGECwCFEy4AFK70W+5v3IS51+uV/dAATGjj2L3ZDfVLD5eVlZWIiJidnS37oQEoyMrKSnQ6nft+vfT3c1lfX4+rV6/GzMxMtFqtMh+6NL1eL2ZnZ2N5edl71ozIz258fnbj87MbXr/fj5WVldixY0ds2XL/zkrpO5ctW7bEzp07y37YSrTbbU/UMfnZjc/Pbnx+dsMZtGPZoKEPQOGECwCFEy5TsHXr1vjVr34VW7durXop2fGzG5+f3fj87IpXekMfgPqzcwGgcMIFgMIJFwAKJ1wAKJxwKdCFCxfilVdeiR07dkSr1YpTp05VvaRsLC4uxjPPPBMzMzOxffv2OHjwYHz++edVLysLR48ejbm5udsXAO7duzfOnDlT9bKyc+TIkWi1WnHo0KGql1ILwqVAq6ur8fTTT8cHH3xQ9VKys7S0FAsLC/Hpp5/GuXPn4ptvvomXXnopVldXq15a8nbu3BlHjhyJv//973Hp0qX46U9/Gq+++mr861//qnpp2bh48WIcO3Ys5ubmql5KbRhFnpJWqxUnT56MgwcPVr2ULH399dexffv2WFpaiueee67q5WRn27Zt8f7778ebb75Z9VKSd+PGjdizZ0/87ne/i9/85jfxk5/8JH77299Wvazs2bmQpG63GxG3DpIM7+bNm3HixIlYXV2NvXv3Vr2cLCwsLMTLL78c+/fvr3optVL6jSthM+vr63Ho0KF49tlnY/fu3VUvJwtXrlyJvXv3xn//+994+OGH4+TJk/HUU09VvazknThxIj777LO4ePFi1UupHeFCchYWFuKf//xnfPLJJ1UvJRtPPPFEXL58Obrdbnz88ccxPz8fS0tLAmaA5eXleOedd+LcuXPx4IMPVr2c2tFzmRI9l/G89dZbcfr06bhw4UI89thjVS8nW/v374/HH388jh07VvVSknXq1Kl47bXX4oEHHrj9uZs3b0ar1YotW7bE2traHV9jNHYuJKHf78fbb78dJ0+ejPPnzwuWCa2vr8fa2lrVy0jaCy+8EFeuXLnjc2+88UY8+eST8d577wmWCQmXAt24cSP+/e9/3/7zF198EZcvX45t27bFrl27KlxZ+hYWFuL48eNx+vTpmJmZievXr0fErTcl+sEPflDx6tJ2+PDhOHDgQOzatStWVlbi+PHjcf78+Th79mzVS0vazMzMXT29hx56KB555BG9vgIIlwJdunQpnn/++dt/fvfddyMiYn5+Pj788MOKVpWHo0ePRkTEvn377vj8n/70p/j5z39e/oIy8tVXX8Xrr78e165di06nE3Nzc3H27Nl48cUXq14aDabnAkDhXOcCQOGECwCFEy4AFE64AFA44QJA4YQLAIUTLgAUTrgAUDjhAkDhhAsAhRMuABROuABQuP8Pj086U3QGpScAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(*paths['path'][1].T, '.', ms=1, color='C1')\n", "plt.gca().set_aspect(1);" ] }, { "cell_type": "markdown", "id": "ab08c2ac", "metadata": {}, "source": [ "From this plot we can see that the generated point on the contour are very close to being evenly spaced. The spacing of these points is controlled by the `delta` parameter that defaults to `0.1`. Let's try adjusting this to get some points that are closer together." ] }, { "cell_type": "code", "execution_count": 11, "id": "2ecf9476", "metadata": {}, "outputs": [], "source": [ "paths_close, stopping_reason_close = zs.zero_contour_finder(\n", " f,\n", " init_guess,\n", " delta=0.01\n", ")" ] }, { "cell_type": "code", "execution_count": 12, "id": "1ea3a5d6", "metadata": {}, "outputs": [ { "data": { "image/png": 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A6jAAUDy2KRfCWkOMuD0QAPAPtikXgK3KAFA8ajAFaGkzl40pzU4yACgUNZgC3PMtqWm5NNBjjo4BAMyMGkwB4s3SvBul1AVzdAwAYGbUYAp0/h/mROXTf2KZDAAKQQ2mQOt+aE5UHhtlmQwACkENpkAtbeZE5UuDLJMBQCGowRSBZTIAKBw1mCKs+6E0p1G6+C/OJQOAmVCDKUJLmzS31XzDTu5hFgMA06EGUySK/QBQII7rL05Lm7TkAWl8VDp1gFkMAOSS7JVO/9kcs3X+lCNPWVTA7NixQytWrFA8Hlc8Hld7e7vefvttu8ZWuOp687b/BLMYAMjl4Hbp8qgUa5LWveDIUxYVMIsWLdK2bdv03nvv6fDhw7rvvvv0yCOP6NixY3aNrzDtG83R/ekJZjEAkMvYkLlHa8kas/LjgKICZv369Vq3bp2WLFmipUuX6vnnn1d9fb3effddu8ZXmHizdMMqKVLBLAYAcnF4i7I0ixrM+Pi4Ojs7NTw8rPb29ryfl0qllEwmpzxs0b7RHIBZGZWOvS71JOx5HgDwI4e3KEslBMyRI0dUX1+vaDSqr371q9q9e7duueWWvJ+/detWNTQ0XHm0trbOasB5xZulz70iVc+RBs9Ib33TnucBAD9yeIuyVELALFu2TIlEQn/5y1/0ta99TU888YQ+/PDDvJ+/ZcsWDQwMXHl0d3fPasDTijebHWVV1dKF08xiAMDi8DExUgkBU11drZtuukl33HGHtm7dqttuu00//vGP835+NBq9suvMetjqnm9JdddKIxek175MwR8AJH/VYCwTExNKpVLlGEt5xJulz/1Sqp0nDZ3lCBkAkFypwVQV88lbtmzR2rVrdf3112twcFC7du3Svn37tGfPHrvGVxrrCJme/skjZOLNbo8KANzTuEw6e8y7NZizZ89qw4YNWrZsmVavXq1Dhw5pz549euCBB+waX+muHCFzUXptA0tlAMKrJyGdPiBdE5Pqr3XsaYuawfzsZz+zaxzl19Im3fqYdHindOao6Y158Hm3RwUAznvrG9LQGal+oWnpcIj/zyKbDr0xACDN+6QUiUiLP+NouSDYAWP1xtTEpOF/sqsMQDi5sEVZCnrASJO7yuoapdEk9RgA4ePCFmUpDAEjTdZjxscm6zEAEBYubFGWwhIwEicuAwgvF46JkcIUMJknLp/7G0tlAMIh2Sud/0iKznV0i7IUpoCRJneVSSyVAQiHrm3m9a6hxdEtylLYAsbaVXbdCrYuAwiHnoS5yVIRx080CVfASGxdBhAuLtVfpDAGjMTWZQAhkpYU+fdbZ4UzYKSpW5f7PiBkAARPslc6/WdpYlw6f8rxpw9vwEgU/QEE28Htpv4Sa5LWveD404c7YCj6AwiysSHpckpassas2jgs3AEjTS36D/VLrzxMyAAIBpeOiLEQMNJk0b+6VhobYWcZgGBw6YgYCwFjaWmTNvzOdLqyswxAELi4RVkiYKZiZxmAoHDpFstMBEw2dpYBCALrFsvqGsePiLEQMNkyd5ZV1ZiTl/d8m5kMAH9x6RbLTARMLlbINN0iXfhYOryT5TIAPuNeB7+FgMkn3iw9/rK04CZzhwzLZQD8wuUOfgsBMx0aMQH4kcsd/BYCZiY0YgLwG5c7+C0ETCFoxATgJy538FsImELRiAnAL1zu4LcQMMWgEROA11mvSVVRqWWlq0MhYIqV2YhJyADwmq5tZubSuFS6Z7OrQyFgipW5s0xi+zIAb+lJmB1kirjWYGkhYEpBtz8Ar3L5gMtMBEyp6PYH4DUeOOAyEwEzG9nd/tRkALjJAwdcZiJgZouaDACv8MABl5kImHLgSBkAXlBda16DqmvdHokkAqZ8OFIGgJt6EtLJvVJFtVRd7/ZoJBEw5ZV5pEzqIiEDwDkeq79IBEz5WUfKROdwbhkA53is/iIRMPawQiZ+nbnrZ+caZjIA7JPslfqPSxXXeKb+IhEw9mlpk55+x1wol+xjuQyAfQ5unzzY0iP1F4mAsRc1GQBOGBsybxuXeqb+IhEw9qMmA8BuYxfN8fyNSz1Tf5EIGGdwlwwAuyR7pdN/libGpfOn3B7NFASMU6y7ZCYuS/0nKfwDKI+D283pybEmad0Lbo9mCgLGSe0bpTueNDUZCv8AymHorJQalBavMj/IeggB46R4s/Tg89LnXzUhQ00GwGx55HrkXAgYN1CTAVAOHroeORcCxi1WTWZ8jGP+AZTGQ9cj50LAuKl9o9S03PyakAFQLA9dj5wLAeOmzGP+IxXSP/8uvf4MIQNgZh5fHpMIGPdZIfPpp6W510tnPmQmA2BmB7dLyf8xqyAeXB6TCBhvsHaX3bDKTHdZLgMwk6Gz0uiANO9GTy6PSQSMt1CTAVAID3fvZyJgvCSzJiMRMgBy83D3fiYCxmso/AOYiYe79zMRMF5E4R9APj5ZHpMIGO+i8A8gF58sj0kEjPdR+AeQySfLYxIB433Zhf8zR81PMADCx0fLYxIB4w+ZIVNVI506IO35NjMZIGx8tDwmETD+YYVM0y3ShY+lwztZLgPCxkfLYxIB4y/xZunxl6UFN0npCWoyQJj4bHlMImD8h2ZMIJx8tjwmETD+ROEfCB+fLY9JBIx/UfgHwsOHy2MSAeNvFP6BcOjaJo38S6pr9M3ymETA+B+FfyD4ehLS5ZQUa/bN8phEwAQDNRkguHxwc2U+BExQZIZMZVQ69rr5qQeAv3Vtk/pPSI1LPXtzZT4ETJBYIVMTk4b/KXV+kcI/4Hc9CbM9WRHP3lyZT1EBs3XrVt15552KxWJauHChHn30UR0/ftyusaEU8Wbpc780e+XHhin8A37m4+UxqciA6erqUkdHh959913t3btXly5d0po1azQ8PGzX+FCKljbp6XfMlJrCP+BfPl4ek6RIOp1Ol/rF586d08KFC9XV1aW77767oK9JJpNqaGjQwMCA4vF4qU+NQiR7TbD0fWBux/z00+aOGQDel+yVXl4tDfZJn7hDemav2yOSVNxr+KxqMAMDA5Kk+fPn5/2cVCqlZDI55QGH0IwJ+JcPj4bJVnLATExMaNOmTbrrrru0fPnyvJ+3detWNTQ0XHm0traW+pQoBc2YgD/58GiYbCUHTEdHh44eParOzs5pP2/Lli0aGBi48uju7i71KVEqmjEBf/Hp0TDZSgqYjRs36ve//73++Mc/atGiRdN+bjQaVTwen/KACziFGfCPACyPSUUGTDqd1saNG7V792794Q9/0I033mjXuGAHOv4B70v2mnrppRFpyRrfLo9JRQZMR0eHfvWrX2nXrl2KxWLq6+tTX1+fRkZG7Bofyo3CP+BtB7ebrcmSVF3v7lhmqaiA2bFjhwYGBnTvvfequbn5yuM3v/mNXeODHSj8A941NmTeNi6V2je6O5ZZKnqJLNfjySeftGl4sA2Ff8B7kr2TZwi2tPnuaJhsnEUWZhT+AW8J0PKYRMCAwj/gDVZxPz0RiOUxiYCBROEf8AJr9hKpkG5Y5fvlMYmAgYXCP+CuABX3LQQMJlH4B9zRk5BO7pUqawIze5EIGGSjJgM4761vSENnpOqawMxeJAIGuXD9MuCcZK80fkmqvEZa8mBgZi8SAYN8uH4ZcIbPLxWbDgGD/Lh+GbBfT8IcbKlIoGYvEgGDmXD9MmCfnoS5sbKyWmpZ6fZoyo6Awcwo/AP2eOsb0sV+ac78wC2PSQQMCkUzJlBeAS7uWwgYFI5mTKB8AlzctxAwKA7NmMDsJXtNY+XllGkFCODsRSJgUApOYQZmp2ubNPIvqa7R11ciz4SAQWko/AOluTJ7GZPmLvb1lcgzIWBQOgr/QPEObjd9L7GmQM9eJAIGs0XhHyicdefLpRFpyZpAz14kAgblQOEfKEzAbqycCQGD8qDwD8wsgHe+TIeAQflQ+AfyC+idL9MhYFBeFP6B3AJ658t0CBiUH4V/YKqehHShW6qoCuyxMLkQMLAHhX9gUsAPtcyHgIF9qMkAoZ29SAQM7Mb1ywi7kM5eJAIGTuD6ZYRVCI7knw4BA2dw/TLCKARH8k+HgIFzuH4ZYRKSI/mnQ8DAWRT+EQbJXvPD09jFUBxqmQ8BA+fRjImgO7jd/PA0npJufTzwh1rmQ8DAHTRjIshCduZYPgQM3EMzJoIohGeO5UPAwF2cwoygCeGZY/kQMHAfhX8ERYi79nMhYOANFP4RBCHu2s+FgIF3UPiHnzF7uQoBA2+h8A8/SvZKr31ZGjkv1S9k9vJvBAy8h8I//ObgdnMEUt0CcyQSsxdJBAy8isI//CLZa2qGl0akJWtC21SZCwED76LwDz84uN0caClJ1fXujsVjCBh4G4V/eJk1e0lPhL5rPxcCBt5H4R9eZc1eIhWh79rPhYCBP1CTgdf0JKRju6XKaqlpObOXHAgY+Ac1GXjJlSNh5pi/l8xerkLAwF+oycALaKosCAED/6EmA7dxJExBCBj4E82YcEuyVxq/JFVew+xlBgQM/IvCP5xmXYV84WNT2Gf2Mi0CBv5G4R9Osq5Cvjwqtf4Hs5cZEDDwPwr/cAJNlUUjYBAMFP5hN5oqi0bAIDgo/MMuNFWWhIBBsFD4hx1oqiwJAYPgofCPcqKpsmQEDIKJwj/KgZsqZ4WAQXBR+MdsdW2Ths9JtXO5qbIEBAyCjcI/SpXslU7ulS6PSXMXc1NlCQgYBF9myEQqpP6T0s41Zm0dyMXq2B+7KMWapHUvuD0iXyJgEA5WyHz6aam6Vho8Y9bWmckgF6tjfzwl3fo4s5cSETAIj3iz9ODz0udfleoapdEky2W4Gj0vZUPAIHxa2qRbH5PGx6jJ4Gr0vJQNAYNwat9ofjqlJoNM9LyUFQGDcMquyST7pFceJmTCjJ6XsiNgEF6ZNZnqWmlshMJ/WFm7xkYHpboF9LyUCQEDtLRJG34n1V9L4T+s2DVmCwIGkCj8hxn3vNiGgAEsFP7DiXtebFN0wOzfv1/r169XS0uLIpGI3njjDRuGBbiAwn/40PNiq6IDZnh4WLfddptefPFFO8YDuCu78J+6SMgElbVrbLhfqonT82KDqmK/YO3atVq7dq0dYwG8wyr8v/Lw5O6yp9/hBSgo2DXmCNtrMKlUSslkcsoD8AUrZOLXSWlRkwkSdo05wvaA2bp1qxoaGq48Wltb7X5KoHxa2szMJSJqMkHBrjHH2B4wW7Zs0cDAwJVHd3e33U8JlFe82SyhUJMJBnaNOcb2gIlGo4rH41MegO9Yy2XROaYm0/lFac+36ZXxG3aNOYo+GKBQmTWZsWHp8E4aMv2kJ2Fmn0Pn2DXmkKIDZmhoSIlEQolEQpL00UcfKZFI6OOPPy732ADvsWoyjUvNGv6Zo2bJBd5mbUkeGzFLnewac0TRAXP48GGtXLlSK1eulCQ999xzWrlypb7zne+UfXCAJ2VewVxVYwrGLJd5V+aW5PpGMwtl15gjiu6Duffee5VOp+0YC+AfVsi8/ox05kOzXNb93yy7eJG1JVmSbv0S4eIgajBAqeLN0uMvSwtuMstlHJLpPRT1XUXAALORuVwmETJeQlHfdQQMMFuZIcNJzN5AUd8TCBigHDiJ2Vu6tknD56Q58yjqu4iAAcol1xXMNGQ6L9krndwrXR6T5i4mXFxEwADlRkOme6wtyWMXpViTtO4Ft0cUagQMYAcaMp1nhUvfB5yS7BEEDGAXGjKdk+w1PUn//LvZaMGWZE8gYAA7WSHTdIt04WOWy+xgzVzOfCjNvd5stGBLsicQMIDdaMi0T+ay2OVRc/z+g88TLh5BwABOoFfGHpnHwLAs5jkEDOAUemXKK/MYmOtWsCzmQQQM4CR6ZcqDY2B8gYAB3ECvTOmscEld5BgYjyNgALdk98pQ/J9Z5hlj0TkcA+NxBAzgJor/hePiMN8hYAC3ZRf/B89Ql8nWkzDB239CmrhEl75PEDCAF2QW/2NN1GUyWTWXZJ9UXSfd8STbkX2CgAG8JFdd5tXPh3c2k13Q//wuGil9hIABvCa7LnPub+GbzSR7Tah2foGCvo8RMIAXZdZlrr3ZfCxMGwAObpfe+4UJl/h1hItPETCAV1l1mS90hmsDgNWhX1ElNS4xS4aEiy8RMIDXhWUDQOay2HA/HfoBQMAAfpG5AUAyS2Yvr5b+81n/B01Pwvy/HHrZLIvFmujQDwACBvCTq3pm+qQPfuPf2kzmrCXZJ02MsywWIJF0Op128gmTyaQaGho0MDCgeDzu5FMDwdKTkN76pnThtDRyQaqdJ81tldb90B8vzlcuCjsqVUal6jnSkgeke77FzMXDinkNJ2AAv+tJmPO5hs5KE5el+ibp1sdMM6JXX6itMY8mpfExc5cL9RZfIGCAsEn2Sl0/kE7ukcYumhftxqXmhkcvBU32rKuu0fthiCkIGCCsMped0hOmUdMLQZPsNb0tx143W62rqqW6a00h3w/LebiCgAHCzHoxP3XAHA4pSdfUSlU1ztc4ssdCrcX3CBgAky/uY0PSyXcmZw6186XFd0n1C+2Z1VjPO3ROOv0naWxUGh81/41ai+8RMACmyqx9DPdLFZVSNGZmNYvvMrOK6vrSAydXqFwalNJps+lgyQOz+/3hGQQMgNysoJl3g3T6gJnVVFRKldVSVXQycBSR+o+b+k31HNP8mO99RXKHyuJV0vl/+GfbNApCwACYWWbYVM+ZXEarqJSUNk2PFVUmfMZT+d9XmlAJkWJew6scGhMAr2lpk57ZO/l+ZuAUO4MhVJADAQPAyA4cYJY4iwwAYAsCBgBgCwIGAGALAgYAYAsCBgBgCwIGAGALAgYAYAsCBgBgCwIGAGALAgYAYAsCBgBgCwIGAGALAgYAYAvHT1O2rp9JJpNOPzUAYJas1+5CrhJzPGAGBwclSa2trU4/NQCgTAYHB9XQ0DDt5zh+o+XExIR6enoUi8UUiUScfGrHJJNJtba2qru7m1s7i8T3rnR870rH965w6XRag4ODamlpUUXF9FUWx2cwFRUVWrRokdNP64p4PM5f1hLxvSsd37vS8b0rzEwzFwtFfgCALQgYAIAtCBgbRKNRffe731U0GnV7KL7D9650fO9Kx/fOHo4X+QEA4cAMBgBgCwIGAGALAgYAYAsCBgBgCwKmjPbv36/169erpaVFkUhEb7zxhttD8o2tW7fqzjvvVCwW08KFC/Xoo4/q+PHjbg/LF3bs2KEVK1ZcaRJsb2/X22+/7fawfGfbtm2KRCLatGmT20MJDAKmjIaHh3XbbbfpxRdfdHsovtPV1aWOjg69++672rt3ry5duqQ1a9ZoeHjY7aF53qJFi7Rt2za99957Onz4sO677z498sgjOnbsmNtD841Dhw7ppZde0ooVK9weSqCwTdkmkUhEu3fv1qOPPur2UHzp3LlzWrhwobq6unT33Xe7PRzfmT9/vl544QV95StfcXsonjc0NKTbb79dP/nJT/T9739fbW1t+tGPfuT2sAKBGQw8aWBgQJJ5oUThxsfH1dnZqeHhYbW3t7s9HF/o6OjQQw89pPvvv9/toQSO44ddAjOZmJjQpk2bdNddd2n58uVuD8cXjhw5ovb2do2Ojqq+vl67d+/WLbfc4vawPK+zs1Pvv/++Dh065PZQAomAged0dHTo6NGjOnDggNtD8Y1ly5YpkUhoYGBAv/3tb/XEE0+oq6uLkJlGd3e3nn32We3du1c1NTVuDyeQqMHYhBpMaTZu3Kg333xT+/fv14033uj2cHzr/vvv16c+9Sm99NJLbg/Fs9544w099thjqqysvPKx8fFxRSIRVVRUKJVKTflvKB4zGHhCOp3W17/+de3evVv79u0jXGZpYmJCqVTK7WF42urVq3XkyJEpH3vqqad08803a/PmzYRLGRAwZTQ0NKS///3vV97/6KOPlEgkNH/+fF1//fUujsz7Ojo6tGvXLr355puKxWLq6+uTZC42qq2tdXl03rZlyxatXbtW119/vQYHB7Vr1y7t27dPe/bscXtonhaLxa6q8dXV1WnBggXU/sqEgCmjw4cP67Of/eyV95977jlJ0hNPPKFf/OIXLo3KH3bs2CFJuvfee6d8/Oc//7mefPJJ5wfkI2fPntWGDRvU29urhoYGrVixQnv27NEDDzzg9tAQctRgAAC2oA8GAGALAgYAYAsCBgBgCwIGAGALAgYAYAsCBgBgCwIGAGALAgYAYAsCBgBgCwIGAGALAgYAYAsCBgBgi/8PGH2RRNk7jPMAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(*paths_close['path'][1].T, '.', ms=1, color='C1')\n", "plt.gca().set_aspect(1);" ] }, { "cell_type": "markdown", "id": "1fd2f72b", "metadata": {}, "source": [ "The points are so close together that on this plot it looks like a solid line. If we take a look at the stopping conditions for the smaller spacing we will see that the larger contour did not close this time." ] }, { "cell_type": "code", "execution_count": 13, "id": "d853b9b3", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0 0]\n", " [0 2]]\n" ] } ], "source": [ "print(stopping_reason_close)" ] }, { "cell_type": "code", "execution_count": 14, "id": "93e3be26", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(*paths_close['path'][0].T, '.', ms=1, color='C0')\n", "plt.gca().set_aspect(1);" ] }, { "cell_type": "markdown", "id": "43a5f510", "metadata": {}, "source": [ "This is because by default the `zero_contour_finder` function will trace the contour both clockwise and counterclockwise from the initial point up to 1000 steps in each direction before stopping. With the smaller step size more points needed to be taken to get around the contour. If we increase the number of steps we can make it close again.\n", "\n", "```{note}\n", "The two stopping conditions for each initial guess are for the path in each direction. Typical examples are:\n", "\n", "- [2, 2]: The path close during the first (clockwise) search and the second (counterclockwise) search\n", "- [0, 2]: The path did not close in the first search, but did close during the second (counterclockwise) search\n", "- [0, 0]: The path did not close\n", "- [1, 1]: The path hit endpoints in both directions\n", "```" ] }, { "cell_type": "code", "execution_count": 15, "id": "4064fad8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0 2]\n", " [2 2]]\n" ] } ], "source": [ "paths_close, stopping_reason_close = zs.zero_contour_finder(\n", " f,\n", " init_guess,\n", " delta=0.01,\n", " N=2300\n", ")\n", "print(stopping_reason_close)" ] }, { "cell_type": "code", "execution_count": 16, "id": "c79a3868", "metadata": {}, "outputs": [ { "data": { "image/png": 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4ZN5tzMLnjXgMeXrj7gpE6SVpYRQIBFBdXY1bbrkFNtvAE8dutxsulyviLZmeuue60P50PIY8vXF3BaL0krQwWrlyJex2O3bv3j3obWpqamC1WkNvpaWlyWoeAGXeyCApQ3U8hjx9cXcFovSTlDBatWoV/vCHP+DPf/4zSkoGX2C4fv16OJ3O0NupU6eS0bwIWSYjAMDrB/epS0PcXYEoPWkaRrIsY9WqVXj99dfx1ltvYdKkoRcYZmVlIS8vL+It2SZelAMAkAGs3dM89I0ppfCkVqL0pWkYrVy5Er/5zW/w0ksvYdy4cTh9+jROnz6Nnp4eLe92VLYsKg9tCdTOferShr3Nift39Z3Uyt0ViNKLpmH0i1/8Ak6nE5WVlbj00ktDb3V1dVre7ajYiq2hTVN7fX6xjaGYqCXcvmBpfo7FyN0ViNKMpuuMZDk9F4+OsZjh6fHC41fmIDjUk7oGKuHefu91XCNGlGa4N90AapeUh059feR17lOXyljCTZQZGEYDmDmlEDnmYBzJAbGNoUGxhJsoczCMBhHcygzdXpkl3imIJdxEmYVhNAgeRZ667G1OrHmZJdxEmYRhNAgeRZ6a1F241eMgrioYwxJuogzAMBpEUV42sk3KP08gwNNfU8FAu3DXLqkQ3CoiSgSG0RCyzUrluzfAXbxTwYYGO3fhJspQDKMhbF1U1nf6K3fxFiq8co4l3ESZh2E0hJlTChEcqeMu3gI1tnREVM6xhJso8zCMhjHGYgaA0G4MlFz2Nie+8+sPQp9XTilg5RxRBmIYDYO7MYi1+ndH4A0u+pow1oKffvNawS0iIi0wjIbB3RjE2fXXz/DpGaWs3iABu6pu5J5zRBmKYRQD7saQfNE7LGxdVMbKOaIMxjCKAXdjSC7usECkPwyjGHA3huRRF7ZyhwUifWEYxaAoLxu5ZiMAwOPjUJ2Wwhe2cocFIv1gGMVo4kU5AAAZHKrTSn1Ta8SRENxhgUg/GEYx2rKoHFKwqI5DdYkXPU80Z1oRF7YS6QjDKEa2YivGWjhUp4XoeaL8XDM2zbOJbRQRJRXDKA7hQ3Vr9zQPfWOKWfQ80Yv3z+B6IiKdYRjFYcuichiDQ3XtHKpLiMaWDuznPBGR7jGM4mArtoY2Tr3g9vOMo1FyuHqx4jdHEByd4zwRkY4xjOJUkp8LAAgA2NjAvepGY0ODPXRQXo7FyHkiIh1jGMXpqXuu6zvj6JNOsY1JY9HDc9vvvY7zREQ6xjCKk63Yihyz8s/m9wc4VDcCHJ4jomgMoxHgceSjw+E5IorGMBoBHkc+cvY2J/70MYfniCgSw2gEeBz5yK3+3ZGITVA5PEdEAMNoxHgcefzqm1ojDsvjJqhEpGIYjRCPI49P9N5zPCyPiMIxjEaIx5HHJ3p4joflEVE4htEo8Djy2DS2dODvweE5CRyeI6L+GEajwOPIY1O9+2hoTdFd04o4PEdE/TCMRoHHkQ+vsaUDX/Z4AQAmo8Q1RUQ0IIbRKBTlZSM7WOMdCMjcjWEA4b2izf9yLdcUEdGAGEajxN0YBlff1IpzwV5RrsXIogUiGhTDaJS4G8PAHK7eiAMIH1/A4TkiGhzDaJS4G8PAHt97HL5gxfv4XDN7RUQ0JIZRAmSZjAAArx8s8Q4K7yVuW1wuriFElBYYRgkw8aIcAIAMRAxN6VV9UyucvUovMddi5P5zRDQshlECbFlUDmNw3qidJd5Y99pHoY85V0REsWAYJYCt2Bpab9Tr84ttjGCNLR3w+JRi7ouyTZwrIqKYMIwSxBxMI/W9XlXvPhrag65yKofniCg2+r5yJpC63qjLE9DtkRIOVy9cbmVdkUEC1s+9WnCLiChdMIwSZOuiMt0fKbGhwQ5/sJz7yovHcLcFIooZwyhBeKSEMl+k4s7cRBQPhlEC+YKTJep7PbG3OeELnqmRl2XkztxEFBeGUQLpefHr6t8dCZ3vNDE/V2xjiCjtMIwSSM+LX1vD1ldtXlgmsCVElI6SEkbPPvssrrjiCmRnZ2PGjBl4//33k3G3SbdlUTmMwV1T/+vLHsGtSR57mzO0Dx2H6IhoJDQPo7q6OqxZswYbN27EkSNHUFZWhrvuugsdHZm3w7Wt2IockxJG/oB+ihgeevkoh+iIaFQ0D6OtW7di+fLlqKqqwjXXXIPt27cjNzcXL7zwgtZ3LYQnWNusvteD007lUEEDOERHRCOjaRh5PB58+OGHmDVrVt8dGgyYNWsW3n333X63d7vdcLlcEW/pxhQcplPf64Ev2AvMsRg4REdEI6JpGJ05cwZ+vx9FRUURXy8qKsLp06f73b6mpgZWqzX0VlpaqmXzNKHH8m5vsBfo1VFvkIgSK6Wq6davXw+n0xl6O3XqlOgmxU0t74asbI+T6eqbWuEN7g07NssstjFElLY0DaOLL74YRqMRDocj4usOhwOXXHJJv9tnZWUhLy8v4i3dqOXdngCwsSHztwVa99pHUPuAPESPiEZK0zCyWCy4/vrrceDAgdDXAoEADhw4gJtvvlnLuxZmy6JyqNNFBz/pFNuYJFD/gHLNEg/RI6IRM2l9B2vWrMHSpUsxffp03HjjjaitrUVXVxeqqqq0vmshbMVW5JgN6PIEQgfuZTI9zpERUeJpHkaLFy9GZ2cnfvjDH+L06dMoLy/Hvn37+hU1ZBIp6n0msxgN8PgDsOj8HCciGh3NwwgAVq1ahVWrViXjrlKCntYayVHviYhGgi9nNaCnU19Z1k1EiZD5V0sB9DZMF/6eiGgkeAXRAIfpiIjiwzDSgJ62BOIwHRElAsNIA3oqd+YwHRElAq8gGtBTAQOH6YgoETL/aimAngoYOExHRInAMNKAngoY9DQ/RkTaYRhpQE/DdHqaHyMi7WT+1VIAPQ3TsYCBiBKBV5AEs7c5ccETnEfRQW+BBQxElAgMowRbu6c59LEejlSQg/2/bk8AjS0dgltDROmKYZRg7ee6AQBZRgmPzrMJbo32Hl+gPEYZQPXuo0LbQkTpi2GUYL0+5QxuGTKK8rIFt0Z78ytKYAmetN7l8YptDBGlLYZRgumx1FmPj5mIEothlGB6LHUOBOeNen0y7G1Owa0honTEMEowPa0xUlV+pQAAEJCB1b87Irg1RJSO9HPFTAJ7mxM9wbJuk0E//7Sb5tlCf0itwQIOIqJ46OeKmQRr9zRD3QDoEmvmFy+oivKyMTZLqWLwBcChOiKKG8MogdSybqMEbFlULrYxSTYxPxcA4JeBh14+KrYxRJR2GEYJpJZ1Gw2ArdgquDXJtXlhWWj7o/Yve4S2hYjSD8MogfRc4mwrtiLLrPw5dXn8HKojorgwjBKksaUD3V6lnDvzD44YGKvqiGikGEYJ8lBwTzoJwBPfuFZsYwTZNM8GY7BT+NnZbvaOiChmDKME6fX4AABjLAbMrygR3BoxivKyMeniMQCU3hELGYgoVgyjBNHT6a5DqV1SEfqj+vxsNxyuXqHtIaL0YBLdgEzQ2NIBj1JIhxyzvv9JbcVWjB9rwZkLHrh9AWxosOOX900X3SwiTTW2dGDNy83o9frg9QdgMRogA/D6A8g1m1A5tRDr516ti82TR0rfV84EeSjsDKPKqZl/htFwtiwsw9IdhwEAB4474HD18klIGcfe5sTq3x1B67lueAPK0LQqfITE4/eh/mg79v6tHXk5FmxZWKaLs87ixWG6BFDniyxGCY/MvVpwa8SbOaUQ43PNAAB/AHh873HBLSJKnMaWDlRsehN3/+wdfHqmG25/XxCZDYDFCIy1GDDGYoDFCKgrPTx+4MwFD5buOIxZWw6ywCcKe0aj5HD1oju4H52kkzOMYrFtcXmod/Sf9tPsHVHac7h6saHBjv3HHAjfk98AIC978KE4dQjvfK8XHr/ykyc7u3D3z97B1kVlui14iibJspyyZx24XC5YrVY4nU7k5eWJbs6AVrz4AfYdcwAAJl+ciwNrbxfcotQx/bH9OHPBAwCYPa2Ic0eUtuqbWrF2TzN8YfVJRgPwtauLsGmeLaYXWmqY/eljR8SQ3lUFY1C7pCJjd22J9TrOYbpROvhJJwClK/7UPdcJbk1q2bKwLPTxnz52cFiC0o7D1YvvvvgBqusig2jOtCL8dd2d2H7f9Jh7/EV52fjlfdPxxqpbMfni3NDXT3Z2YcHPD6GxpSPRzU8rDKNRMgQ77NkmKWNf2YzUzCmFuKqgb90Rd2WgdNLY0oHKJw/izeDIBwCMzzVjV9UNcYVQNFuxFQfW3o7axWWh+SSvX0bVzsO6DiSG0ShwC6Dh1S6pCD3hPj3TjfqmVrENIhqG2htatuMwerzKmg0JQO3iMhz54eyEVcLNryjBG6tuRY5ZOX4lIAPf+fUHuh1BYBiNwoN1RwHoewug4diKrdi6qG+4bu2eZi6EpZTlcPXiW796D2+GFSnkWIzYWXWDJoUGtmIr9qy4ORRIXr+s2yE7htEoXHB7AQBmI1gRM4T5FSWhUm9fANjQYBfcIqL+7G1OzH3qbXza2RX62pxpRTi4tlLTdUFqII2x9AWSHofsGEYjxF0X4rNtcXno4/3HHLp7olFqq29qxd0/ewdnu5TqT3VYbjRzQ/GwFVtR98DNuh6yYxiNEHddiM/MKYWYM60IACADWPGbIxyuo5RQ39SK6rrmvoWrRkmzYbmhDDRkp6eiH4bRCHHXhfhtmmdDTnAoosfr53AdCbfrr5+huq7vhWV+rhmv/+stwrbrUQMpvOhn118/E9KWZGMYjUBjSwcuqLsuSODOAjEqysvG9nv71mJxuI5EUSvmNr7xcehrc6YVYV/1bcKXaEQX/Wx842NdVKEyjEYgfIiOGx7Gh8N1JFp4xZxq093XJG1+KBbzK0qw6e5rQp8/WNec8S/cGEYjED5E9+g8m+DWpB8O15EoA1XM1S4uw9KvThLYqoEt/eokXb1wYxjFKXyIzmDgEN1IqMN1wWFxvHnMoZtxcRKnsaUDC35+qF/FXCovy4h+4fa/Xmke5ifSF8MoTlzomhgzpxRi2+LIcfFMH4YgcRpbOlC18zC8wV2zRVXMxSt6nvUvn5zJ2PkjhlGcuNA1ceZXlKBySkHoc72tq6DkqG9qxbIdh0Ol2zlmo9CKuXjNnFIYMX+05uXmjHyeMIziUN/UGlroOsZiFtuYDPHTb16LCWMtAPS3roK0p64hUrf2mTDWgj0rbhZeMRevpV+dFLHp8NIX3s+4+SOGURweeV2ZaJcA1C4pF9qWTFGUl41dVTfqcl0FaSt6DdHkgjHY+z//Ke2CSFW7pAJmo/JEOdvlybjCH4ZRPGSlcCHHLKVNFz8d6HVdBWljsDVELy2/Ka0LjmzFVjz/7b4DKjPtjDCGUYzqm1p5XISGotdVZOq4OGkrHdYQjUYmnxGmWRh9/vnnuP/++zFp0iTk5ORg8uTJ2LhxIzwej1Z3qSl1iA5gFZ1WosfFF25/l4FEMVMPw0uHNUSjkalnhGkWRidOnEAgEMBzzz2HY8eOYdu2bdi+fTseeeQRre5SMw5XL7w+pXJhjMXAKjoNhY+L93j9GTlRS4mnlm5HH4aXic/V6GHtTBlF0CyM5syZgx07dmD27Nm48sorcffdd2Pt2rV47bXXtLpLzdTsPQ5vcGwum8dFaEodF1df+WXiRC0lVnTptsmQHmuIRmN+RUnGDdcldc7I6XRi/Pjxg37f7XbD5XJFvKWCgyeUxZgGCRGvSEgbM6cUYseyG7hDAw1roNLt+pXps4ZoNGqXVISeI38/0532i8aTFkYnT57EM888gwceeGDQ29TU1MBqtYbeSktLk9W8QTlcvXD1KnvRmQ3cGDVZBtqhIVPGxikxMq10O162YivuCtu7bs3L6b1VUNxhtG7dOkiSNOTbiRMnIn6mra0Nc+bMwcKFC7F8+fJBf/f69evhdDpDb6dOnYr/ESXYxgZ7qHquJD9XaFv0JrrCrrqumYFEGVu6PRLhe9d90eVJ6+eHJMuyPPzN+nR2duLs2bND3ubKK6+ExaKsqm9vb0dlZSVuuukm7Ny5EwZD7PnncrlgtVrhdDqRl5cXTzMTZuqG/0CvNwCDBLyx6lbdvOpKJSte/AD7wkp1M3Vimoanlm6HV8xtuvuajKuYi0djSweW7jgMADAZgEPr7kypUI71Oh73bHxBQQEKCgqGvyGUHtHtt9+O66+/Hjt27IgriFKBvc0Jd7ByYYzFyCASZNM8G/5Px4XQBejBumbk51o4ZKoz9jYnlr7wfmjXbYAvTABlSHt8rhlfdHvhCwAbGuz45X3Th//BFKNZOrS1taGyshKXXXYZNm/ejM7OTpw+fRqnT5/W6i4Trnp3U2hidOJFOULbomdFedl4aflNmBysHpIBVO08nPYTthQ7e5sTC7e/m1bHPyTTtsXloY/TdWcGzcJo//79OHnyJA4cOICSkhJceumlobd0cepcNwDlaPEti8rFNkbn1EBSN1UNyNzlWy/Uc4jUNUQGCRlfuh2vTNiZQbMwWrZsGWRZHvAtHTS2dMDtU9qal2XiEF0KUDdVzTErE7Zev8xdGjKcuoYo/ByiHctu4BDtANK91Du9JnGS6KE9fWWSlVP5h58qbMVW7Flxc8QuDQt+fijtnng0NLViLnwNUbqdQ5Rs6V7qzTAaRK9HWVtkMUp4ZO7VgltD4dRdGtRA8vplziFlkIE2O72qYExankOUbJvm2ZBtVi7r57o9afWcYBgNoLGlAxc8ShWdwYCUKpMkxcwphXj9X28JDdkFZBY1ZAJ7mxNzn3q732anf3qokkEUg6K8bMyZdgkA5TlRvfuo2AbFgWE0gAfrjgJQKna4Q3fqUofswgPpf+z8gIGUpuqbWnH3z95hxdworZ97NUzBUYNzPd60WQjLMBrABbcXAGA2gk+EFKcG0oQxSpWdX+aQXTpS95hTNzs1GzN/s1OtFOVlY/O/9L2IXvfaRwJbEzuGUZTGlg54lApS5HCH7rRgK7Zi7+p/iij7ZiClh/BCBVV+rpmFCqM0v6IE43PNAAC3V06L3hHDKAqr6NJTdNl3QAaW7TicFk9CvbK3OTGn9i8RhQpzphVhX/VtnB9KAHUhrAzg4VdTv7KOYRSFVXTpK3rITgY3V01V6kLWc93e0NdqF5dlzPHgqWDmlELkBCvr3D6k/POAYRSmvqmVVXRpTh2yU7cOApRA4nlIqSN6IatBYqGCVmq+8Y+hj1N97ohhFOaR1/tOFGUVXfpStw6aHVwACCjnIc3acpC7NQg00ELWCWMteGPVrQwijcyvKMFF2crct8cnp/Q8KsMonKz0inLNEp8caa4oLxu/vG96xHlIJzu7uH2QII0tHah88mDE/JDeDsMTRZ37TvV1RwyjoMaWDnR7lddrgWFuS+lj6VcnoXZxWWjPLm4flHzqsJy60Smg38PwRFg/92oYg1d6Z683ZV+MMYyCuNA1c82vKMHOqhsitg9ipZ32HK5efPuF/x25v5zFiF1VN7BQIYmK8rLxtauVIetU3tGbYRTEha6ZTd0+KLrSbsWLH8Dh6hXbuAykDsv95ZMzoa/NmVaEg2sruX5IgE3zbAi+FsNnZ7tTsnfEMAIXuurFQJV2+445MPfpt1PyyZmuBhqW23T3NewNCVSUl41JF/edd/TQy0fFNmgADCNwoauehFfaqfNIZy94cPfP3uGw3SjZ25y4c/OfBxyWW/rVSULbRpHnHbV/2SO0LQNhGIELXfVGrbQLn0cKyBy2Gw11k9NPz3SHvsZhudRiK7Yix6LsUHLe7U+5F1+6DyOHqxfdwYWuEmQOI+iIOo+UH9zDC+CwXbzCe0PqJqfqIlYOy6WexxfYQh+n2iJY3YfRxgZ7qJS7JD9XaFso+WzFVuyrvo3DdiMwUG/oqoIxXMSawlJ5Eazuw+jgJ50AlFdzT91zneDWkAhDDdtx14b+Gls6ULHpzQF7QzwEL/Wl6iJYXYeRw9ULv1/pF+WYDXwS6Zw6bDf54r4e8snOLvaSgtTtfJbtOIxzPX0bnLI3lF7Wz70ahuAwgMvtTZk5Ul2HUc3e4/AGx+iyWdJNUIbtDqy9HbWLy0JPWLWXdN2P30ypYY1kqm9qxS1PHMCbxxyhSjmTUWJvKA0V5WXjymCZtz8AbGiwD/MTyaHrMDp4QrmwGCRg66Iywa2hVDK/ogRvrLo1opf0RbcXS3cc1lXFXXiBgi9sn6w504pw6OE72BtKU7VLKkIfp8oLLF13B7q9Skm3yQCWn1I/ai+pvqkVa/f0XYz3HXPgTyc6sPlfrs3Yi7G9zYmHXj6KTzu74FMnhgCMzzVj2+JyPl/SnK3YirwsI1xuP3x+GfY2p/DerW57RvY2J9QF4lkmo9jGUEqbX1GCQ+vujKi48/nljBy6U3tCd//sHbQ4LoSCSC1QOPLD2QyiDDExWD3sT5H96nQbRmv39K0Sn3hRjtC2UOoLr7jLz+lbl6QO3aV7KKnFCWqpttoZMkrA1EvGsUAhA21e2Dc10Xque4hbJoduh+nag//4RgnYsqhcbGMobcycUoimjbNR39SKda99BLdXhoy+UEq3YSx7mxOrf3cE//eL7og5IUCpkqtdUiF8+Ia0YSu24qJsE77s9cEbUOaORP7d6jaMen3KGJ3RAD7ZKG7zK0owv6Kk33ySGko5ZgNqvvGPKdubUMPU65Ph75sSggTl0DuGkD5UTi1E/dF2BGRgzcvN+HDD14S1RZdhVN/UGtqle4zFPPSNiYYwv6IEN0++GBsa7Mru7z6lp9TjDaC6rhkPv/oRSvNzU+LirhYltH/Zg/Nuf7/vsyekP+vnXo0/ftQObwDoDRZ0iaLLMHrkdaWuXgJQu6RcaFso/anzSYDyQufhV5vh8SlnJrl9Mk52duG/PfMOsswGVH6lAJvm2ZK2Z5vD1RsKSp8/shcEAHlZRkzMz8XmhWUMIR0qysuG2WSE1+NHtycgdKhOkmVZHv5mYrhcLlitVjidTuTl5SXs916zYS+6vTJyzRI+fnRuwn4vkaqxpQPVu4/iy14vop9hBgDZZgmQDHh8gS3hQ3nqEJwBgNsvwx81FyRBOdpBi/um9FPf1IrqOuUYnfwcM5o2zk7o74/1Oq7LnpFarhq+foIokdRCh/ChsS6PHwEZCADo9soA/Kiua8b3X2mGxWiADKXMNtbek1p80HquG+bgz3v9AXj9wEB/2ewF0UDmV5Tg+680w+MHujze4X9AI7oLo/BTXTlfRFqzFVvxnw/OBBAZHkaDhJ5gJZ7HD3jCui/7jjnw1nEHIAEmgwRfQA6FldcfCH3c4w2ESrDd0d0fALlmCX4ZKTNnRakr12yCx++DT2BVne7C6MG6owCCi/g4X0RJpO7ooFKH8ro83n4BEzxiC57gJE94WHmigscAINfSF1Zjs9KrvJzES4WqOt2F0QW30g3lFkAkmjqUFy58WM/t8w/ZM4pnSI9oKKlQVae7MDIZJHj8MkzqlsxEKSR8WI8oWYrysmEwSEBARq8vAIerN+kvcHS1HZC9zRmcOEa/ElciIj0rVfeqE3SshK7CqHp3U+hjDtEREfURfayErsLolLofnQF4dJ5NcGuIiFKHrdiKXLMyfWEUMIuhqzBS54myTQZO+BIRRQkED0np9SlnHCWTrsJIinpPRER9Kr9SAAAICDjjSDdhZG9z4kJw8YaXOy8QEfWzaZ4tFArJPuNIN2HE4gUioqEV5WUr+yYCMCZ5+YtuwojFC0REw/OHtpiS4XD1Ju1+dRNGanVIllFi8QIR0SDC1xs9vvd40u5XN2HEnbqJiIZXu6QiFAwHTyRvvZFuwshsNES8JyKi/mzFVpiMysc9SdynThdX5saWDnQFK+ksRqPg1hARpTZ1TWYy9/BMShi53W6Ul5dDkiQcPXo0GXcZ4aE9zaGPb5tSkPT7JyJKJyKKGJISRt///vcxceLEZNzVgNxe5TQ9i1HCI3OvFtYOIqJ0IKKIQfMw+o//+A+8+eab2Lx5s9Z3NShZVmLewko6IqJhiShi0PQ8I4fDgeXLl6O+vh65ubnD3t7tdsPtdoc+d7lcCWmHejJm9AmZRETUn1rE4PEnr4hBs56RLMtYtmwZVqxYgenTp8f0MzU1NbBaraG30tLShLRFxGQcEVE6S/Z1M+4wWrduHSRJGvLtxIkTeOaZZ3D+/HmsX78+5t+9fv16OJ3O0NupU6fibd6AuMaIiCg+yb5uxj1M99BDD2HZsmVD3ubKK6/EW2+9hXfffRdZWVkR35s+fTruvfde7Nq1q9/PZWVl9bt9IpiNBnj8Aa4xIiKKkSV43bQk6boZdxgVFBSgoGD48uinn34ajz32WOjz9vZ23HXXXairq8OMGTPivdsR4xojIqL4SZIyPOcJlndrXfylWQHDZZddFvH52LFjAQCTJ09GSUmJVnfbD9cYERHFL8tsxHm3Hx6/jMf3HsdTYceSayHjx624xoiIKH5bFpaFPk5Gebempd3hrrjiitB6n2TiGiMiovjNnFIISxLLuzO+Z8Q1RkREI6MWLySjiCHjw4hrjIiIRkaOeq+ljA8jrjEiIhoZb3BEyZuEkaWMDyOeY0RENDIcpksgKeo9ERHFhsN0CcQCBiKikeEwXQJxmI6IaGQ4TJdAHKYjIhoZDtMlEIfpiIhGhsN0CcRhOiKikeEwXQJxmI6IaGQ4TJdAHKYjIhoZDtMlELcDIiIamWRePzM+jLgdEBHRyCTz+pnxYcQCBiKikWEBQwKZDMpD7PEEYG9zCm4NEVF6aGzpQLdXmSsym4ya31/Gh9ElVuVAvQCAtWFHkBMR0eDWvNwMdXRu5lcKNL+/jA+jLYvKYQxOvv3Xlz2CW0NElB56g6e7mg3A+rlXa35/GR9GtmIrckxKGPkDLO8mIoqFWs4tSUBRXrbm95fxYQRwrRERUbySWbwA6CSMuNaIiCh2DlcvPH5lwkiSknPd1EUYca0REVHsHt97PBRGWWbtK+kAnYTRGIsZAODxK+WKREQ0uIMn+q6TWxaWJeU+dRFGtUvKoY7QPVh3VGhbiIhSXU+wks5iBGZOKUzKfeoijGZOKYQp+EgvuL1iG0NElMIcrl6o5xwkq3gB0EkYASxiICKKRfh8UbbFlLT71U0YBf9t0e2VuS0QEdEgRMwXAToKo/Bxz+rdTQJbQkSUmhyuXlzwKPNFWSYpafNFgI7C6NF5NqjDn6fOdYttDBFRCtrQYIe6N0Bpfm5S71s3YVSUl43cYL28x8ehOiKiaAdPOEIf1y6pSOp96yaMAGDiRTkAlPPcuYM3EVGfxpYOeP3KxzlmA2zF1qTev67CaMuichiDxXTtHKojIgqp3n0U6h41Nd/4x6Tff/Lq9lKArdgKk1GC3yfD5fajsaUjqRN0RKr6plY88rodEmRIUDbxNRsNA35sMkjwBeRBvx99W39ARkl+Lp6657qkv7ql9FTf1IpzPcoazFyLEfMrSpLeBl2FEaBU1b15TBkXfWhPMz74wdcEt4gymcPVi5q9x3HwRAe6vb5QsHj8/W8bvqt85MfyMN/vf9tPz3Rj/rOHYJDk0H3mmE2onFqIR+ZenZQjASg9OFy9EdMWjy+wCWmH7sLo0Xk2NLZ0wu0L4IsLHtjbnHz1SAljb3OiencTTp3rhlECer0ywg8uUcMCUNa451pi6+3E0zNS71PdGLgvzHxoONqOP3zUjiyj8jvHWMyoXVLOEQId29Bghy/4Rzo+1yykVwToMIyK8rJxxYRctDguIABlzdGfHqoU3SxKUw5XLzY22HHwk04YIKPbO/DO8CaDFNFL0TIEBuuN+fxAAIA/AHSrQdXjxbIdh5Fj5vCeHtnbnPjTx30VdNsWlwtriyTLcsqeq+ByuWC1WuF0OpGXl5ew32tvc+Lun70TOt/9D9+7lU8+illjSwce2tOMXo8P3Z4ABjqy0WgAsoypdYGP7rUNNlxokIBskwS/rAxrPzrPxmG9DHXn5j/j0zNKMddVBWM0eWEe63Vcl2EERP4nTL1kHPZV35bQ30+ZpbGlAw/WHcUFtzejLuBqIQXkQL8hRZXRAGSbDMg2m7B1URmH9DJEfVMrquuUuSKDBLyxSpsX5QyjYdjbnJj/7CH4AjKMEtCg0X8Epa/wC/VAw28WowQJqdPzGa1YhhwNEmAygHNNaS56dKh2cZlmc0UMoxjcta0RLY4LALTrolL6iJ5rie4BSQDMRuimKi18WC8QkOGN6jZJgDLXlGa9Qb2ztzmxcPu76AmucNX62scwikEyXx1Q6lJ7QF6ff9ALbgDAE9+4Vrd/H8MFNaAM5+WajZh4UQ62LCpP+55iJnK4ejH3qbdxtssDADAbJbz+r7do+n/FMIpRssZNKbXUN7Vi/Wt/g88f6BdAHIoa3nBDmMbgv2GmDGFmAoerF9/61Xv4tLMLgPJ3vmPZDZr/fTOM4hBezJCfa8a+6ts43JCBhipCUNf8cJI+fuHDeR6fjOgLikFS9jrjv6049jYnlu54H2cvKD0iCcDOKu2DCGAYxSV6uG7OtCJsv2+6ZvdHyRNehn3BE9kFkqC8eh+bxR5QotjbnFi7pxnt57pxwe3vV53HXmfyRc8RSQC2JXFKgmEUp/DhOoDzR+ks/ILockd2gdQiBF4MtRdenecfYDiU83Haa2zpwHd+/QG8wV04kjU0F45hNAIMpPQVfuFzewP9hoosRgkGAy96osRaqZhlYgFEotQ3teLBuubQc8FslPD8t6cn/QUYw2iEvvviB6GNVAEGUioLv8C5en39hoSMEmAySiw7TkGxFEAYOZw3Iuoc3slgoQIA5JiN2LPiZiEBzzAaoeiKk2RO9NHwwgPI2esbcLJ8jIWvrtNJeGGJ149+/6dczxS7+qZWrHm5OTT/DQCTLxZb0cgwGgVRJZA0uKHWAhkkwMwy4owQPt/X6/MPup4py8i5pnBqoH/R7Q19zSABWxeJH9lJiTD64x//iB//+Mf46KOPkJ2djZkzZ6K+vj7mnxcVRkD/xWEAsOnua7D0q5OS2g69Gm6OgVVZ+jDccJ4612Q26rN0XF0v1xP1Ck10byic8DB69dVXsXz5cjz++OO444474PP5YLfbsWjRoph/h8gwAvrX5gPA7GlFHCbQSCzVV1wLpF/Ru44PtXdeJodT+Au1L3t9oa9LALLMUsr1FoWGkc/nwxVXXIFNmzbh/vvvH/HvER1GgPIf//CrH+FgS2foazlmI7b/9+sy7o9cBK5LoZEKn2uSZfR78QIofz+5ZgM8/kDaV+oNNVSdZQJ++k3xQ3IDERpG77//PmbMmIEXXngBTz/9NE6fPo3y8nI8+eSTsNkGP9LW7XbD7XaHPne5XCgtLRUaRqroMkkJwNfYSxoRrtinRIse1h0snIC+Sj2z0QCDJMFiMqbk31n4gm2PPzDgULXFlHo9oWhCw2j37t245557cNlll2Hr1q244oorsGXLFrz55pv45JNPMH78+AF/7kc/+hE2bdrU7+upEEaA8sex4rdH0BP2V2EyAJsXpuYrklTCvcwomdRwavykE16fHx5/YMBKPVX48J56hHsyd2ePPr5jsIMP03GoWpMwWrduHX76058OeZvjx4/jyJEjuPfee/Hcc8/hu9/9LgCl11NSUoLHHnsMDzzwwIA/m8o9I5X6R7MvbC0SAOTncBgp3HCv6gDu8kzJFV2pZzYa4B3kbzOcxSjBYpTg8Qciwir8Y/Vo98G+P9xtIQOeQXpyFqMEQNuj6rWkSRh1dnbi7NmzQ97myiuvxKFDh3DHHXfg7bffxq233hr63owZMzBr1iz85Cc/ien+UmHOaDADlVJKACwpPHarpVhKcrlehFJN9PBeeEAMF1JaUE8M9gXkjDk3S+gwncvlQmFhIZ599tlQAYPX60VJSQkeffTRUG8plt+TqmGkUoefusP+ciUAFmNmDzlF93wGGwJJ91d1pF/q37jb64csy5r2jNK9uGIowku7q6ur8corr+CFF17A5ZdfjieffBK///3vceLECeTn58f0O9IhjFSD1ftnwpY0A7167Pb03/8N6JsczpRXdUQ0OsLDyOv1Yv369XjxxRfR09ODGTNmoLa2FtOmTYv5d6RTGKkGGr5TpcPK8ejhNpNBQq9X7ldyrVJ7Ppn8yo6IRk54GCVCOoaRaqhjDIDIleMSAJ8sJy2gons64cMGPZ7AoMFjMkgwSMrtLCYjZn6lAOvZ8yGiITCMUkgsK8eB/gE1mnHpoX6ue4jAUanDbSaDBH9Azuj5LyLSDsMohYWvHFcDIvoU0mRQezrhYWUyGHCJNZvDbUSUEAyjNDNQQGnVM/L6A+zpEFFSMIyIiEi4WK/jhiS2iYiIaEAMIyIiEo5hREREwjGMiIhIOIYREREJxzAiIiLhGEZERCQcw4iIiIRjGBERkXAMIyIiEo5hREREwjGMiIhIOIYREREJZxLdgKGoG4q7XC7BLSEiopFQr9/DHRCR0mF0/vx5AEBpaanglhAR0WicP38eVuvg56el9HlGgUAA7e3tGDduHCRJ0ux+XC4XSktLcerUqYw/N0lPjxXQ1+PV02MF+HjThSzLOH/+PCZOnAiDYfCZoZTuGRkMBpSUlCTt/vLy8tLqP3k09PRYAX09Xj09VoCPNx0M1SNSsYCBiIiEYxgREZFwDCMAWVlZ2LhxI7KyskQ3RXN6eqyAvh6vnh4rwMebaVK6gIGIiPSBPSMiIhKOYURERMIxjIiISDiGERERCccwGsAf//hHzJgxAzk5OcjPz8f8+fNFN0lTbrcb5eXlkCQJR48eFd0cTXz++ee4//77MWnSJOTk5GDy5MnYuHEjPB6P6KYlzLPPPosrrrgC2dnZmDFjBt5//33RTdJETU0NbrjhBowbNw6FhYWYP38+WlpaRDcrKZ544glIkoTq6mrRTUk4hlGUV199Fffddx+qqqrQ3NyMQ4cO4Vvf+pboZmnq+9//PiZOnCi6GZo6ceIEAoEAnnvuORw7dgzbtm3D9u3b8cgjj4huWkLU1dVhzZo12LhxI44cOYKysjLcdddd6OjoEN20hGtsbMTKlSvx3nvvYf/+/fB6vZg9eza6urpEN01Thw8fxnPPPYdrr71WdFO0IVOI1+uVi4uL5eeff150U5Jm79698tSpU+Vjx47JAOSmpibRTUqaf//3f5cnTZokuhkJceONN8orV64Mfe73++WJEyfKNTU1AluVHB0dHTIAubGxUXRTNHP+/Hn5H/7hH+T9+/fLM2fOlFevXi26SQnHnlGYI0eOoK2tDQaDARUVFbj00kvxz//8z7Db7aKbpgmHw4Hly5fjxRdfRG5urujmJJ3T6cT48eNFN2PUPB4PPvzwQ8yaNSv0NYPBgFmzZuHdd98V2LLkcDqdAJAR/5eDWblyJb7+9a9H/B9nGoZRmL///e8AgB/96Ef4wQ9+gD/84Q/Iz89HZWUlvvjiC8GtSyxZlrFs2TKsWLEC06dPF92cpDt58iSeeeYZPPDAA6KbMmpnzpyB3+9HUVFRxNeLiopw+vRpQa1KjkAggOrqatxyyy2w2Wyim6OJ3bt348iRI6ipqRHdFE3pIozWrVsHSZKGfFPnFADg3/7t3/DNb34T119/PXbs2AFJkrBnzx7BjyI2sT7WZ555BufPn8f69etFN3lUYn284dra2jBnzhwsXLgQy5cvF9RySoSVK1fCbrdj9+7dopuiiVOnTmH16tX47W9/i+zsbNHN0ZQutgPq7OzE2bNnh7zNlVdeiUOHDuGOO+7A22+/jVtvvTX0vRkzZmDWrFn4yU9+onVTRy3Wx7po0SL8/ve/jzgnyu/3w2g04t5778WuXbu0bmpCxPp4LRYLAKC9vR2VlZW46aabsHPnziHPV0kXHo8Hubm5eOWVVyIqP5cuXYovv/wSDQ0N4hqnoVWrVqGhoQF/+ctfMGnSJNHN0UR9fT0WLFgAo9EY+prf74ckSTAYDHC73RHfS2cpfZ5RohQUFKCgoGDY211//fXIyspCS0tLKIy8Xi8+//xzXH755Vo3MyFifaxPP/00HnvssdDn7e3tuOuuu1BXV4cZM2Zo2cSEivXxAkqP6Pbbbw/1eDMhiADAYrHg+uuvx4EDB0JhFAgEcODAAaxatUps4zQgyzK+973v4fXXX8fBgwczNogA4M4778Tf/va3iK9VVVVh6tSpePjhhzMmiACdhFGs8vLysGLFCmzcuBGlpaW4/PLL8eSTTwIAFi5cKLh1iXXZZZdFfD527FgAwOTJk5N6oGGytLW1obKyEpdffjk2b96Mzs7O0PcuueQSgS1LjDVr1mDp0qWYPn06brzxRtTW1qKrqwtVVVWim5ZwK1euxEsvvYSGhgaMGzcuNC9mtVqRk5MjuHWJNW7cuH5zYWPGjMGECRMybo6MYRTlySefhMlkwn333Yeenh7MmDEDb731FvLz80U3jUZh//79OHnyJE6ePNkvbDNhpHrx4sXo7OzED3/4Q5w+fRrl5eXYt29fv6KGTPCLX/wCAFBZWRnx9R07dmDZsmXJbxAlhC7mjIiIKLVlxqA5ERGlNYYREREJxzAiIiLhGEZERCQcw4iIiIRjGBERkXAMIyIiEo5hREREwjGMiIhIOIYREREJxzAiIiLhGEZERCTc/wfC2xC7l/uH0wAAAABJRU5ErkJggg==", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(*paths_close['path'][0].T, '.', ms=1, color='C0')\n", "plt.gca().set_aspect(1);" ] }, { "cell_type": "markdown", "id": "fbd6bb46", "metadata": {}, "source": [ "## Tolerance\n", "\n", "The optional keywords for the `ZeroSolver` function are:\n", "- `tol`: Newton's steps are used to bring each proposed point on the contour to be within this tolerance of zero, by default 1e-6.\n", "- `max_newton`: The maximum number of Newton's steps to run, by default 25.\n", "- `forward_mode_differentiation`: Flag used to set either reverse-mode or forward-mode auto-differentiation\n", "\n", "If you need to find the contour to a higher tolerance you can adjust the `tol` value to be smaller (down to ~a few times your floating point precision). By construction, each new proposed point on the contour should be close to zero, so very few Newton's steps should be needed to bring it back in line, but in the face of a function discontinuity or an place where the function's gradient is large, it can take more steps. `max_newton` controls the allowed maximum number of steps that can be taken to avoid infinite loops.\n", "\n", "As a test let's re-run the above contours with a smaller tolerance value.\n", "\n", "```{note}\n", "For 64 bit precision the smallest tolerance value that can be used is typically around {math}`10^{-14}`\n", "```" ] }, { "cell_type": "code", "execution_count": 17, "id": "73131e84", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[2 2]\n", " [2 2]]\n" ] } ], "source": [ "zs = ZeroSolver(tol=1e-14)\n", "paths_tol, stopping_reason_tol = zs.zero_contour_finder(\n", " f,\n", " init_guess\n", ")\n", "print(stopping_reason_tol)" ] }, { "cell_type": "code", "execution_count": 18, "id": "82fb3da3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 4))\n", "plt.subplot(121)\n", "plt.imshow(\n", " z,\n", " extent=(x.min(), x.max(), y.min(), y.max()),\n", " norm=colors.SymLogNorm(linthresh=0.1, vmin=-175, vmax=175),\n", " cmap='PuOr_r',\n", " origin='lower',\n", " interpolation='nearest'\n", ")\n", "\n", "plt.plot(*paths_tol['path'].T)\n", "plt.plot(*init_guess[0], 'x', ms=10, color='C0')\n", "plt.plot(*init_guess[1], 'x', ms=10, color='C1')\n", "plt.colorbar()\n", "\n", "plt.subplot(122)\n", "plt.xlabel('path index')\n", "plt.ylabel('function value on contour')\n", "plt.plot(paths_tol['value'].T);" ] }, { "cell_type": "markdown", "id": "aec69cf5", "metadata": {}, "source": [ "We can now see the value of the function along the contour is far smaller than before.\n", "\n", "## Stopping conditions\n", "\n", "As pointed out in the previous section there are three different stopping conditions:\n", "\n", "- `0`: none\n", "- `1`: end point\n", "- `2`: closed loop\n", "\n", "### None\n", "\n", "The maximum number of steps were taken before reaching either stopping condition below.\n", "\n", "### End point\n", "\n", "The zero value contour is not always closed, this can be caused by several thing such as a discontinuity in the function. This stopping condition is triggered when the proposed next point in the path is more than `2 * delta` away from the previous point (i.e. the Newton's step brings the point away after the Euler step).\n", "\n", "### Closed loop\n", "\n", "When a contour loops back to it's starting point the contour is marked as being closed. This stopping condition is triggered when the proposed next point is less than `1.1 * delta` away from the starting point of the path.\n", "\n", "After either an endpoint is reached or a contour is closed all remaining steps are recorded as `NaN` to avoid tracing over the same contour many times over. Once *all paths* have terminated the path integration is halted early to not waste compute time." ] }, { "cell_type": "code", "execution_count": null, "id": "d5fc7468", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "lensing", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.9" } }, "nbformat": 4, "nbformat_minor": 5 }