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authorRémi Flamary <remi.flamary@gmail.com>2020-04-22 11:39:23 +0200
committerRémi Flamary <remi.flamary@gmail.com>2020-04-22 11:39:23 +0200
commit135c011092cb442b0b874b565b6a2ca3f09234c4 (patch)
tree06a1a5209ee090824ae74af76bd2426295edc424 /notebooks/plot_UOT_barycenter_1D.ipynb
parent5f679247f64fa1c8e277f34165850caea311a084 (diff)
remove notebooks and cleanup readme and doc
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-{
- "cells": [
- {
- "cell_type": "code",
- "execution_count": 1,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "%matplotlib inline"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "\n",
- "# 1D Wasserstein barycenter demo for Unbalanced distributions\n",
- "\n",
- "\n",
- "This example illustrates the computation of regularized Wassersyein Barycenter\n",
- "as proposed in [10] for Unbalanced inputs.\n",
- "\n",
- "\n",
- "[10] Chizat, L., Peyré, G., Schmitzer, B., & Vialard, F. X. (2016). Scaling algorithms for unbalanced transport problems. arXiv preprint arXiv:1607.05816.\n",
- "\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 2,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "# Author: Hicham Janati <hicham.janati@inria.fr>\n",
- "#\n",
- "# License: MIT License\n",
- "\n",
- "import numpy as np\n",
- "import matplotlib.pylab as pl\n",
- "import ot\n",
- "# necessary for 3d plot even if not used\n",
- "from mpl_toolkits.mplot3d import Axes3D # noqa\n",
- "from matplotlib.collections import PolyCollection"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Generate data\n",
- "-------------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 3,
- "metadata": {
- "collapsed": false
- },
- "outputs": [],
- "source": [
- "# parameters\n",
- "\n",
- "n = 100 # nb bins\n",
- "\n",
- "# bin positions\n",
- "x = np.arange(n, dtype=np.float64)\n",
- "\n",
- "# Gaussian distributions\n",
- "a1 = ot.datasets.make_1D_gauss(n, m=20, s=5) # m= mean, s= std\n",
- "a2 = ot.datasets.make_1D_gauss(n, m=60, s=8)\n",
- "\n",
- "# make unbalanced dists\n",
- "a2 *= 3.\n",
- "\n",
- "# creating matrix A containing all distributions\n",
- "A = np.vstack((a1, a2)).T\n",
- "n_distributions = A.shape[1]\n",
- "\n",
- "# loss matrix + normalization\n",
- "M = ot.utils.dist0(n)\n",
- "M /= M.max()"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Plot data\n",
- "---------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 4,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "data": {
- "image/png": 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S0rwOx5imI/dLKMyHAVd7HUl4DbgaTh2F7R95HYmJQqEkxd1A16D3Xdxloahu293u67rs0xgTDllvuE2nE72OJLx6XOjct5hlTaim9kJJiiuA3iLSXUQSgOnAwhD3vxi4TERaux1sLgMWq+pe4JiIjHF7nd4MLKhD/MaYuqhoOu1zGSQ09zqa8PInQN8rYPPbUHbK62hMlKkxKapqGXA3ToLbBLyiqlki8qCITAEQkZEikgdcD/xdRLLcbQ8Bv8FJrCuAB91lAHcBTwHZwDbgnbB+MmNM9XZ+AUX7m17TaYWKJtRt1oRqascfSiFVXQQsqrTsl0GvV3B6c2hwuWeAZ6pYngkMrE2wxpgwyXod4pOdodGaou4XQFIr53Oe3UR61ppGEfEdbYwxYRYoh00LnWuJTa3ptII/wRkkfMsia0I1tWJJ0ZhYs/NzKCpwJudtyvpfDaeOwbYlXkdiooglRWNiTVNvOq3QI6gJ1ZgQWVI0JpaUl8HGiqbTZK+jaVi+eGeQ882LoLTY62hMlLCkaEws2fk5nDjQdHudVjbgKig5bk2oJmSWFI2JJVmvQ3xzZ1aMWND9AmjW2ppQTcgsKRoTK8rLnF6nZ09q+k2nFSqaULcsgtKTXkdjooAlRWNiRc5ncOJg7DSdVhhwNZQUQvaHXkdiooAlRWNiRdbrzsz0vS7xOpLGlTEemrWxJlQTEkuKxsSC8jLY9KYzb2J8M6+jaVw+v9OEuvVda0I1NbKkaEwsyPkUTh6KvabTCv9qQv3A60hMhLOkaEws+FfT6QSvI/FGxvmQ3NaaUE2NLCka09SVlzpNp2dPjr2m0woVTahbrAnVnJklRfMNgYDyydYCnvx0O7uP2B+QqLfjUzh5OHabTisMuBpKi+Cr972OxESwkKaOMrHh6IlSXl25i38s3UnOwRMA/O6dTVzSrwMzx2YwtmdbnDmhTVTJeg0SWkDPGG06rdDtPEhu53wf/ad4HY2JUJYUDQCrcw9z09PLKTxVxvBurbnn0j4M7tKKVzJ3MXfFLt7bmM8FfdJ4auYI4n3WwBA1yk45Tad9L4f4JK+j8ZbPD/2nwpqX4FQhJKZ4HZGJQCH9dRORSSKyRUSyReS+KtYnishcd/0yEclwl98gImuCHgERGequ+9jdZ8W69uH8YCZ0e46c5I7nV9K6eTxv/dt5zP/+WKYO7Uz3ds25d1JfvrjvYh74Vj8+2VrAg29u9DpcUxvblkDxURh4rdeRRIaB10LZSef2DGOqUGNSFBEf8BgwGegPzBCR/pWK3QYcVtVewCPA7wFU9UVVHaqqQ4GbgB2quiZouxsq1qvq/jB8HlNLJ0rKuOP5TIpLy3l65kgGdk79RpmkeB93jO/BneN78MLSnbzwZU6jx2nqaMN8Z+zPnhd5HUlkSD8XWnRyvhdjqhBKTXEUkK2q21W1BJgDTK1UZiow2309D5gg37z4NMPd1kSIQED5yStr2bj3GI/OGEqfDi3OWP5nk/oyoW97fv3mRj7PPtBIUZo6KznhTJvUf6ozBqiBuDgYeI3T2ebkYa+jMREolKTYGdgV9D7PXVZlGVUtA44CbSuVmQa8XGnZs27T6S+qSKIAiMgsEckUkcyCgoIQwjWhenTJV7yzYR8/n9yPi/t2qLG8L0740/Sh9Exrzl0vriLnQFEjRGnqbOu7Tm9Lazo93cBrIFAKm9/2OhITgRqlx4SIjAZOqOqGoMU3qOog4Hz3cVNV26rqE6o6QlVHpKWlNUK0sWF7QSH/b0k2V5/TmdvP7x7ydi2S4nl65kgCqvzmLbu+GNE2zIeUs6DbOK8jiSydhkHr7rB+nteRmAgUSlLcDXQNet/FXVZlGRHxA6nAwaD106lUS1TV3e7zceAlnGZa00j+970tJPnjeODyfrW+zaJrm2TuurAXH27ez7LtB2vewDS+4qNOE+GAqyHO53U0kUXEqT3v+AQKrfXJnC6UpLgC6C0i3UUkASfBLaxUZiEw0319HbBEVRVAROKAbxN0PVFE/CLSzn0dD1wBbMA0itW5h1m0fh93jO9Bu5TEOu3j1nEZnNUyiYfe3Yz7T20iyea3ofyUNZ1WZ+C1oAHY+IbXkZgIU2NSdK8R3g0sBjYBr6hqlog8KCIVd8A+DbQVkWzgx0DwbRvjgV2quj1oWSKwWETWAWtwappP1vvTmBqpKg+9s5l2KQncfn6POu8nKd7HPZf2ZnXuERZn5YcxQhMWG+ZDq3ToMsLrSCJTh/6Q1g82vOZ1JCbChHTzvqouAhZVWvbLoNfFwPXVbPsxMKbSsiJgeC1jNWHw8dYClu04xINTB5CSWL+xG64d1oUnP9vBHxZv5pJ+7fHbTf2RoeggbPsIxv3QaSo0VRt0LSz5LRzdDamV+w6aWGV/xWJIIKD8/p3NdGubzPSR6fXen98Xx88mns32giJeXZkXhghNWGS9BlpuTac1qfh+1r/qbRwmolhSjCEL1u5m877j/MdlZ5PgD88//aX9OzC8W2seeX8rJ0vKw7JPU09r50D7AXDWIK8jiWxtekCXUbBuLth1ceOypBgjVJW/fbydvme14PJBHcO2XxHhPy47m/3HT/H66sqdkk2jO5ANuzNhyDSvI4kOQ6bB/o2wb73XkZgIYUkxRny57SBb8o/z3fO6ExcX3utMY3q0oX/Hljz3xQ7rieq1dXMBgUFVXuI3lQ24BuLi3e/NGEuKMeOZz3No2zyBKUM6hX3fIsKt4zLYml/I59l236JnAgFYNwd6XAgtw//v3CQlt4E+E2HdK1Be5nU0JgJYUowBOw8W8eHmfL4zOp2k+Ia5kfvKIZ1o2zyBZz/f0SD7NyHYtRSO5MKQ6V5HEl2GTIei/bD9Y68jMRHAkmIMeO6LHPxxwo1jujXYMZLifdwwphtLtuy3MVG9snYOxCdD3yu8jiS69L4MklrB2spDM5tYZEmxiTteXMqrmXlcPqgjHVo27CSzN45Jxx8nPPdFToMex1ShtBiy3oB+U2zy3NryJzq3Z2x+G4qPeR2N8ZglxSZu3so8Ck+Vceu40Af9rqv2LZK4YnAn5q3M43hxaYMfzwTZ+g6cOmq9TutqyHRn8uFNlUewNLHGkmITFggos7/IYVh6K4Z0bdUox7x1XAaFp8p4NdNu5m9Ua+dCi47Q/QKvI4lOXUY69y2utSlfY50lxSbsk60F5Bw80Si1xAqDu7RieLfWPP9lDoGA3Z7RKAr3Q/b7zm0YNiNG3YjA4OmQ8084vNPraIyHLCk2YS8tz6VdSgITB5zVqMe9cUw6OQdPsNSmlWoca16EQBmcU+WUpCZUQ7/jPK9+wds4jKcsKTZR+ceKWbJ5P9cN7xq2Id1CNXlgR1KbxfPS8txGPW5MCgRg1fOQPhbS+ngdTXRr1RV6XQKr/2H3LMYwS4pN1KuZuygPKNNHdq25cJglxfu4+pzOvJeVz6GikkY/fkzJ+QwObYfht3gdSdMw/BY4vtdpjjYxyZJiExQIKHMzd3Fuj7ZktGvuSQwzRqVTUh7gtVXW4aZBrZoNSanQf0rNZU3N+kyElA6wcrbXkRiPhJQURWSSiGwRkWwRua+K9YkiMtddv0xEMtzlGSJyUkTWuI+/BW0zXETWu9s8KmITv4XL59sOsOvQSWaMrv/0UHV19lktGJbeipeW59p4qA2l6CBsetPpIBLfzOtomgZfPAy9Ab5a7MyzaGJOjUlRRHzAY8BkoD8wQ0T6Vyp2G3BYVXsBjwC/D1q3TVWHuo/vBS1/HLgD6O0+JtX9Y5hgLy/PpXVyPBMHdPA0jhmj0tleUMSKnMOextFkrZsD5SUwfKbXkTQtw24CDTgdmEzMCaWmOArIVtXtqloCzAGmViozFahob5gHTDhTzU9EOgItVXWpOtWI54Grah29+YYDhad4f2M+1wzrQqLf2+75lw/uSItEP3Osw034qTpNfJ1HQIcBXkfTtLTp4dzvueoFpyOTiSmhJMXOwK6g93nusirLqGoZcBRo667rLiKrReQTETk/qHzwxaaq9gmAiMwSkUwRySwoKAgh3Ng2f2UepeXKjFGN38GmsuQEP1PP6cTb6/dy9ISNcBNWuUvhwBarJTaU4TPhaC5sX+J1JKaRNXRHm71AuqqeA/wYeElEWtZmB6r6hKqOUNURaWlpDRJkU6GqzF2xi5EZrenVvoXX4QBOE+qpsgCvrbYON2G18jlIaOHMB2jCr+8VkNzW+Z5NTAklKe4GgqsdXdxlVZYRET+QChxU1VOqehBAVVcC24A+bvkuNezT1NLS7YfYfqCI6SO962BT2YBOqQzuksqc5busw024HM+HrNec8Tpt8O+G4U90BkPY/LaNcBNjQkmKK4DeItJdRBKA6UDlUXMXAhXtONcBS1RVRSTN7aiDiPTA6VCzXVX3AsdEZIx77fFmYEEYPk9Mm7MilxZJfr41qKPXoZxm+sh0tuQfZ/WuI16H0jRkPu10sBnzfa8jadpGzQIElj/hdSSmEdWYFN1rhHcDi4FNwCuqmiUiD4pIxc1RTwNtRSQbp5m04raN8cA6EVmD0wHne6p6yF13F/AUkI1Tg3wnTJ8pJh05UcI7G/ZxzTmdaZYQWeNfThnaieQEn3W4CYfSYljxNPSZBG17eh1N05baGQZc5XS4OXXc62hMI/GHUkhVFwGLKi37ZdDrYuD6KrabD8yvZp+ZwMDaBGuq99qq3ZSUBZg+KnKaTiukJPq5cnAnFq7dwy+u6E+LpHivQ4peG+bBiQNWS2wsY+6CDfNhzUsw+k6vozGNwEa0aQJUlZeX5zKkayv6daxVP6ZGM2N0OidLy1mwZo/XoUQvVVj6OLQfYFNENZYuI5xppZY+brdnxAhLik3AqtzDfLW/kBkejHMaqiFdUul7VgvmrLAm1DrL+QzyNzi1RBsAqvGMuQsO73BGuTFNniXFJuDl5btonuDjyiGdvA6lWiLCjFHpbNh9jA27j3odTnT68q/ObQKDvnGlwjSkflOgZRf48jGvIzGNwJJilDtWXMpb6/YwZWhnmieGdInYM1cN7UyiP46XrcNN7R3cBlvfhRG3QXyS19HEFp8fRt3h1NT3rfc6GtPALClGuQWrd1NcGoiIEWxqkpocz+WDOrJgzR6KTtl8dbXy+Z+dwapH3uZ1JLFp+EyIbw7//JPXkZgGZkkxiqkqLy7LpX/HlgzqnOp1OCGZMTqdwlNlLFxrHW5CdninMzj1sJnQ4iyvo4lNzVo7tcUN86Fgi9fRmAZkSTGKLdtxiM37jjNzbDeiZeatEd1a0/esFsz+IsdGuAnVPx8GiYPz7vE6ktg29t+cKbo+/aPXkZgGZEkxis3+IodWyfFMHVrlWOoRSUS4ZWwGm/cdZ/mOQzVvEOuO5MLqF2HYzc7N5MY7zdsF1Ra3eh2NaSCWFKPUniMneW9jPtNGdiUpPrJGsKnJ1KGdSW0Wz+wvc7wOJfJ99rDzbLXEyDD2h+BPstpiE2ZJMUq9uGwnqsqNo7t5HUqtNUvwMW1kVxZn5bPnyEmvw4lcR3bB6n84k96mdqm5vGl4zds5nZ02zIMD2V5HYxqAJcUoVFxazsvLdzGhXwe6tkn2Opw6uWlMNwKqvLTMbs+o1j8fcZ7P+7G3cZjTjf0h+BKttthEWVKMQm+t28uhohJuGZvhdSh11rVNMhP6duDl5bkUl5Z7HU7kObwTVr8A59wIrSL/dpuYktLeqS2uf8V6ojZBlhSjjKoy+4scerdPYWzPtl6HUy+3jM3gYFEJb6/b63Uokef9X0CcH8b/1OtITFXOu8eZ5Pnd+50xaU2TYUkxyqzKPcL63Ue5eWxG1NyGUZ1xvdrSq30Ks7+02zNOk/NP2LjA+cNrPU4jU/N2cOG9sO1D+Oo9r6MxYWRJMcr87ZNtpDaL55pzov+PpYhw67gM1uUd5cttB70OJzIEyuGd+yC1q3NfnIlcI++Atr1g8c+hrMTraEyYWFKMIpv2HuP9jfl8d1z3iB/nNFTXDutCh5aJPLrkK69DiQyrnof89XDpg86N4iZy+RNg4u/gYDYsf8LraEyYhJQURWSSiGwRkWwRua+K9YkiMtddv0xEMtzll4rIShFZ7z5fHLTNx+4+17iP9uH6UE3VXz7KJiXRH9UdbC0fy1UAABHNSURBVCpLivcxa3xPlm4/xIqcGL+Z/+QRWPJbSB8LA672OhoTij6XQa9L4JM/QGGB19GYMKgxKYqID3gMmAz0B2aISP9KxW4DDqtqL+AR4Pfu8gPAlao6CJgJvFBpuxtUdaj72F+Pz9HkZe8/zqL1e5k5thupyU1r5vrvjEqnXUoCj34Y47XFT/8IJw7C5IdsvsRoMvF/oLQIlvzG60hMGIRSUxwFZKvqdlUtAeYAUyuVmQrMdl/PAyaIiKjqalWtGPk5C2gmIonhCDzWPPbRNpL8Pm47r4fXoYRdswQft5/fg8++OsCaXUe8Dscbu1bA0r86szF0HOJ1NKY20s6G0d+DVbNh+ydeR2PqKZSk2BnYFfQ+z11WZRlVLQOOApXvF7gWWKWqp4KWPes2nf5CqulKKSKzRCRTRDILCmKzeWLnwSIWrNnNjWPSadM8wetwGsSNY7rRKjmev8TitcWSE/DG96BlZ7jUahtR6aIHoE1PWPADKD7mdTSmHhqlo42IDMBpUr0zaPENbrPq+e7jpqq2VdUnVHWEqo5IS0tr+GAj0F8/2obfF8cd45teLbFCSqKf747rzgeb9pO156jX4TSuDx90OmtMfQySWnodjamLhGS4+u9wbDcsvt/raEw9hJIUdwPBQ2p0cZdVWUZE/EAqcNB93wV4HbhZVbdVbKCqu93n48BLOM20ppKcA0XMX5XHjJFdad+iac+4PnNsBi0S/TzyfgzNQLDjU1j2OIy6E3pc4HU0pj66joRx/+6MV7vlXa+jMXUUSlJcAfQWke4ikgBMBxZWKrMQpyMNwHXAElVVEWkFvA3cp6qfVxQWEb+ItHNfxwNXABvq91Gapgff2kiiP44fXNTL61AaXGqzeL53YU8+2LSfT7bGQFN58TF44wdOs9slv/Y6GhMOF94H7QfAmz+EEzHemzpK1ZgU3WuEdwOLgU3AK6qaJSIPisgUt9jTQFsRyQZ+DFTctnE30Av4ZaVbLxKBxSKyDliDU9N8MpwfrClYsjmfJZv386NLetO+ZdOuJVa4/fzuZLRN5r8WZlFSFvA6nIajCm/+CI7lwdV/c5rfTPTzJzr/nicOwRvfdwZjMFFFoml4rREjRmhmZqbXYTSKU2XlTHzkU3xxwjs/Gk+CP3bGWfho835ufW4F90/uy50X9PQ6nIbx6f86Xfgn/ArOt1kwmpxlT8A7P3VmOLnkV15HYyoRkZWqOqKqdbHzlzbKPPXZDnIOnuDXUwbEVEIEuKhveyb0bc+jH35F/rFir8MJv81vOwlx0Ldt8uCmatQdMPwW+OfDsH6e19GYWoitv7ZRYs+Rk/xlSTYTB3Tg/N6x2eP2l1f2p7Rc+d2iTV6HEl75WfDaLOg0DKY8ajfpN1UiMPmPzuhEC34Au1d6HZEJkSXFCKOq/OatjQRU+c/LKw8cFDu6tW3OrPE9eGPNHr7YdsDrcMKjcD+8PAMSUmD6iza2aVPnT4BpL0Dz9jDnBjia53VEJgSWFCPMS8tzeWfDPn50SW+6tontzhd3XdST7u2ac8/cNRwoPFXzBpHseD48dwUUFTgJsWUnryMyjaF5O5jxMpQUwXOXw5FdNW9jPGVJMYJs2H2U/1q4kQv6pPG98U20g0ktJCf4eew7wzh8opR75q6hPBA9ncJOc3yf8wfxaB7cMA+6VHl93zRVZw2Em153eqQ+dzkcyfU6InMGlhQjxLHiUu56cRVtUxJ4ZNpQ4uLsWhNA/04teXDKAD776gCPfZTtdTi1d2yP84fw+F64cR5kjPM6IuOFLiPg5jecmVCeuxwO7/Q6IlMNS4oRQFX52avrnA423zmnyY5vWlfTRnblmnM688gHW/k8O4quL+ZnwbOTnZrijfOh21ivIzJe6jzcSYzFR53zYs9qryMyVbCkGAH+siSbd7P2ce+kvgzv1sbrcCKOiPDbqwfSKy2FH81ZzfaCQq9Dqtn6efDUJVB6Em5eAOljvI7IRILOw2DmW4DA0xNh9YteR2QqsaTosT9/8BX/9/5WrhraidvP7+51OBErOcHP4zcORxWmPbGU7P3HvQ6pauVlsPgBmH8bnDUY7vzUriGa03UcDHd+AumjYcFd8PZPoKzE66iMy5KiR1SVh9/bwiMfbOWaYZ35v28PpZrZs4yrV/sU5swagypMf2IpW/ZFWGLctx6emQhf/gVGzYKZb0KLs7yOykSi5u3gxtdh7A9hxVPw1AS7lzFCWFL0gKryh8VbeHRJNtNGdOWP1w3BZx1rQtK7Qwvm3jkGX5ww48mlbNwTAXPXnSp0aod/vwAO58C1T8O3/ujcp2ZMdXx+uOw3MO1F5x7WJyfAop861xyNZywpNrL9x4u5fXYmj3+8jRtGp/O7awZZQqylnmkpzJ11Lon+OK59/Av+sXQnnozhW1YCq16Av45xaofn3Ah3r4BB1zV+LCZ69bsC7l7uDA23/En4yyhY8TSUNsEhDqOADQjeiN7dsJf7X1vPiZJy7p3Ul1vHZViTaT3sO1rMT+et5bOvDnDh2Wn84drBjTObSEkRrHoevvh/zqSyHYfA5D9YZxpTf7tXwTs/g7wVkNIBzr0bRtwKiS28jqxJOdOA4JYUG0H2/kIe/fArFq7dw6DOqTwybQi92ttJHg6qygtLd/I/izaRFO/jJ5f24foRXUmK94X7QM4fqrVzIOs1OHkYuo1zZrjoOcHGMDXho+pMPv3Z/8GOTyAxFQZcBYOnQfq5EGcNfPVlSdEjq3MP87dPtvHexnwSfHHceUFP/u3iXsT77KQOt20Fhdw3fx0rcg7TtnkCt47L4KYxGaQmx9d9p6XFsGspbPsINr7hXC/0N4O+34KRd0C3c8MWvzFVylsJy/8Om96C0iJITYf+U6DnxU6CtHk466TeSVFEJgF/BnzAU6r6UKX1icDzwHDgIDBNVXPcdfcDtwHlwA9VdXEo+6xKpCfFQEDZsOcoH2zaz4eb8snac4yWSX5mjs1g5tgM2qUkeh1ik6aqLN9xiMc/2cbHWwpoFu/jgj5pTOjXnov6tj/z96/qNIXuXes8di2H3C+hrBji/E6tcMh06HsFJLVsvA9lDDhN9pvfhnVzYfsnECgFX6JzW0fX0U4TfschkNrVWi1CUK+kKCI+YCtwKZAHrABmqOrGoDJ3AYNV9XsiMh24WlWniUh/4GVgFNAJ+ADo4252xn1WJZKSYnFpOXuOnGRr/nE27j3Opr3HWLPrCAXHTxEnMCy9NZMHdWTayK6kJPq9DjfmbNxzjH8s28mSTfvZd6yYOAkw+qw4RrYtZUDLE/RqVkiHwH6aF+5EDufAwWw4ecjZWOIgrR/0uAB6XOiMRGPXdEykKCmCnV/C9o+c5tX8jaDlzrqkVtC2F7TpDm16QKtu0KIDtOgIKWdBs9bW/Er9k+K5wK9VdaL7/n4AVf1dUJnFbpkvRcQP7APSgPuCy1aUczc74z6rEo6kuG3DCg7v3Y4CAVVUnefygBIIKGWqlJYFKC1XSgMBSkoDnCgt50RJGSdLyjlWXMbhohIKT5UFfUdwVsskurVtzqDOqQzukkqLpHo020WKWjWtVyp72rZaaZm6r4OWa+Dr5RoIei6HQPnXz4Fy51dyecWjxKnNlZ1ynktPOH80SgrhVCFafITyosPEnTpKHIHTQgyosI827PV15FBiF/Kb9eZAi74cS+1LYnIKSX4fSfFxJPrjiPfHER8Xhy9O8PuEOKl4OCPuiIDgvub0H+uVf7g7JaphP/JNLcWVFdP86BZaHMoi5cgmmh3PpVnhTpKK9iCV/l+qxFEW35LShJaUJaRSHp9CmT+Zcn8yAX8yAV8CgbhE9zkBjfP/61nF5z7i4F+vBSTOWeaevMGvnZNf0H+9r4gk+EQ//aTXM9R0E5NT6Tt6Yl2/qq+PeIakGEoVpjMQPN9JHjC6ujKqWiYiR4G27vKllbbt7L6uaZ8Vwc8CZgGkp6eHEO6ZHfj4r4w+8Fq990PlW9BO4nyKPGBZ/XdvQiXgTwJ/ovNIaO484ptDs9ZImx74m7VyfkEnt0VTOnDY14atJ5qzrTiV3YXKvmPF5B8r5ujJUo4VlHFs1yEKi/dTFq2zcpgY1dt9OBIopaMcpD1HaC9HaC+HaS3HSS0totXJIlIpIlkO0Zw9JFNMspwimVIS3UecRN75n+3rCWFIimcS8e16qvoE8AQ4NcX67i/jynvZcfgWRHB/5YNPnBqAL06Ii4MEn494n5Dgi7NbJmpTdflG0aqqS6f/gvzX8opflyIgPue9+yuUOJ9zXU/cZ58f4uLBF+8uDz1GAdoAY9zHmZSVBygpD1BcGqC0PEBZQClzn1WVgOK0MLgtDuBWcIN+nVeubJ/pBI6mTm+m6ShxH0eCF6qCliGBMiRQ6j6XIRpwlweAgPvefXZbepzXOO/RoJNeKz2DfOOcP/P/gfhmzevyEWsllKS4G+ga9L6Lu6yqMnlu82kqToebM21b0z4bRIdufaFb38Y4lIlyfl8cfl8cyTYwjTExI5QrriuA3iLSXUQSgOnAwkplFgIz3dfXAUvU+dm7EJguIoki0h2nbr88xH0aY4wxjarGmqJ7jfBuYDHO7RPPqGqWiDwIZKrqQuBp4AURyQYO4SQ53HKvABuBMuAHqk43qar2Gf6PZ4wxxoTObt43xhgTU87U+9RuWDHGGGNclhSNMcYYV1Q1n4pIAbAzDLtqBxwIw36aOvueQmPfU+jsuwqNfU+hqev31E1V06paEVVJMVxEJLO69mTzNfueQmPfU+jsuwqNfU+haYjvyZpPjTHGGJclRWOMMcYVq0nxCa8DiBL2PYXGvqfQ2XcVGvueQhP27ykmrykaY4wxVYnVmqIxxhjzDZYUjTHGGFfMJUURmSQiW0QkW0Tu8zqeSCEiXUXkIxHZKCJZIvIjd3kbEXlfRL5yn1t7HWskEBGfiKwWkbfc991FZJl7Xs11B7qPaSLSSkTmichmEdkkIufa+fRNInKP+39ug4i8LCJJdj6BiDwjIvtFZEPQsirPH3E86n5f60RkWF2PG1NJUUR8wGPAZKA/MENE+nsbVcQoA36iqv1xphr8gfvd3Ad8qKq9gQ/d9wZ+BGwKev974BFV7QUcBm7zJKrI8mfgXVXtCwzB+b7sfAoiIp2BHwIjVHUgzgQJ07HzCeA5YFKlZdWdP5P5epblWcDjdT1oTCVFYBSQrarbVbUEmANM9TimiKCqe1V1lfv6OM4fsM44389st9hs4CpvIowcItIFuBx4yn0vwMXAPLdIzH9PIpIKjMeZQQdVLVHVI9j5VBU/0MydizYZ2IudT6jqpzizLgWr7vyZCjyvjqVAKxHpWJfjxlpS7AzsCnqf5y4zQUQkAzgHWAZ0UNW97qp9QAePwookfwJ+BlRMMd4WOKKqZe57O6+gO1AAPOs2Mz8lIs2x8+k0qrob+F8gFycZHgVWYudTdao7f8L2tz3WkqKpgYikAPOBf1fVY8Hr3ImjY/oeHhG5Ativqiu9jiXC+YFhwOOqeg5QRKWmUjufwL0mNhXnR0QnoDnfbDI0VWio8yfWkuJuoGvQ+y7uMgOISDxOQnxRVV9zF+dXNEO4z/u9ii9CjAOmiEgOTvP7xTjXzlq5zV9g5xU4v9TzVHWZ+34eTpK08+l0lwA7VLVAVUuB13DOMTufqlbd+RO2v+2xlhRXAL3dnl0JOBe0F3ocU0Rwr4s9DWxS1YeDVi0EZrqvZwILGju2SKKq96tqF1XNwDl/lqjqDcBHwHVuMfueVPcBu0TkbHfRBGAjdj5VlguMEZFk9/9gxfdk51PVqjt/FgI3u71QxwBHg5pZayXmRrQRkW/hXBPyAc+o6n97HFJEEJHzgM+A9Xx9reznONcVXwHScabt+raqVr74HZNE5ELgP1T1ChHpgVNzbAOsBm5U1VNexuc1ERmK0xkpAdgO3IrzQ9zOpyAi8l/ANJwe4KuB23Guh8X0+SQiLwMX4kwPlQ/8CniDKs4f9wfFX3Cank8At6pqZp2OG2tJ0RhjjKlOrDWfGmOMMdWypGiMMca4LCkaY4wxLkuKxhhjjMuSojHGGOOypGiMMca4LCkaY4wxrv8Plem1r3vSaToAAAAASUVORK5CYII=\n",
- "text/plain": [
- "<Figure size 460.8x216 with 1 Axes>"
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "# plot the distributions\n",
- "\n",
- "pl.figure(1, figsize=(6.4, 3))\n",
- "for i in range(n_distributions):\n",
- " pl.plot(x, A[:, i])\n",
- "pl.title('Distributions')\n",
- "pl.tight_layout()"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Barycenter computation\n",
- "----------------------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 5,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "data": {
- "image/png": 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\n",
- "text/plain": [
- "<Figure size 432x288 with 2 Axes>"
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "# non weighted barycenter computation\n",
- "\n",
- "weight = 0.5 # 0<=weight<=1\n",
- "weights = np.array([1 - weight, weight])\n",
- "\n",
- "# l2bary\n",
- "bary_l2 = A.dot(weights)\n",
- "\n",
- "# wasserstein\n",
- "reg = 1e-3\n",
- "alpha = 1.\n",
- "\n",
- "bary_wass = ot.unbalanced.barycenter_unbalanced(A, M, reg, alpha, weights=weights)\n",
- "\n",
- "pl.figure(2)\n",
- "pl.clf()\n",
- "pl.subplot(2, 1, 1)\n",
- "for i in range(n_distributions):\n",
- " pl.plot(x, A[:, i])\n",
- "pl.title('Distributions')\n",
- "\n",
- "pl.subplot(2, 1, 2)\n",
- "pl.plot(x, bary_l2, 'r', label='l2')\n",
- "pl.plot(x, bary_wass, 'g', label='Wasserstein')\n",
- "pl.legend()\n",
- "pl.title('Barycenters')\n",
- "pl.tight_layout()"
- ]
- },
- {
- "cell_type": "markdown",
- "metadata": {},
- "source": [
- "Barycentric interpolation\n",
- "-------------------------\n",
- "\n"
- ]
- },
- {
- "cell_type": "code",
- "execution_count": 6,
- "metadata": {
- "collapsed": false
- },
- "outputs": [
- {
- "name": "stderr",
- "output_type": "stream",
- "text": [
- "/home/rflamary/PYTHON/POT/ot/unbalanced.py:895: RuntimeWarning: overflow encountered in true_divide\n",
- " u = (A / Kv) ** fi\n",
- "/home/rflamary/PYTHON/POT/ot/unbalanced.py:900: RuntimeWarning: invalid value encountered in true_divide\n",
- " v = (Q / Ktu) ** fi\n",
- "/home/rflamary/PYTHON/POT/ot/unbalanced.py:907: UserWarning: Numerical errors at iteration 595\n",
- " warnings.warn('Numerical errors at iteration %s' % i)\n",
- "/home/rflamary/PYTHON/POT/ot/unbalanced.py:900: RuntimeWarning: overflow encountered in true_divide\n",
- " v = (Q / Ktu) ** fi\n",
- "/home/rflamary/PYTHON/POT/ot/unbalanced.py:907: UserWarning: Numerical errors at iteration 974\n",
- " warnings.warn('Numerical errors at iteration %s' % i)\n",
- "/home/rflamary/PYTHON/POT/ot/unbalanced.py:907: UserWarning: Numerical errors at iteration 615\n",
- " warnings.warn('Numerical errors at iteration %s' % i)\n",
- "/home/rflamary/PYTHON/POT/ot/unbalanced.py:907: UserWarning: Numerical errors at iteration 455\n",
- " warnings.warn('Numerical errors at iteration %s' % i)\n",
- "/home/rflamary/PYTHON/POT/ot/unbalanced.py:907: UserWarning: Numerical errors at iteration 361\n",
- " warnings.warn('Numerical errors at iteration %s' % i)\n"
- ]
- },
- {
- "data": {
- "image/png": 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LtSEX5mIt8TMzM9i8eXPBY84QsoNagUNQDspGuTNMVpFOpzE6OopQKISenh709/djdna2ICKgx6dRg8vlQlNTU4ElOiWuRCKBxcVFjI+PQxCEHOKqq6uD3+/f8MRF034UzhCyg1qCQ1AOLCOfmKzOMJlFMpnE6OgootEoduzYgTPPPDMnIii3zdyIuCRJQiKRQCKRwNLSEiYmJnKIi9a5aKpwvS/KRlJR2v9rnwsUDiHT5xpFXOv9M3KwtnAIyoFpVDpcaxbxeByBQACpVAo7d+7Enj17dNNQds9B8Txvibg4jtOtca2XRVmPoIxQirgURUEmkyl4jTOE7KASOATloCTsGq4thWg0ipGREUiShN7eXrS2tpalxWf3oG6lxCWKYs0NDwPWCMoIRsRF9+8MITuoBA5BOTCE3cO1RgiFQggEAgCAvr4+NDc3l3xNOXYbdsMscYVCIQiCgOXl5ZqKuOwgqGKwMoRMoXVAdho0HDgE5aAAdg/X6i2EhBAsLy8jEAjA5XJhYGAAjY2NpvepJSLtvmtB6iifuObn55FMJrF169Yc4pqcnEQmk1mzVGG1CcoIpYgrFothbGwMe/bsUR9zZrlOTzgE5UCFnnNtpQsAFXWlnWKEECwsLGB0dBQ+nw+7d++G3++3vN/1pMVHUSziou3wy8vLq0Zca0VQRtBeb7ThAnCGkE9nOATloKhzbaWgzQyEEMzNzWFsbAyNjY0YGhpCXV1d2ftdjwRlBJ7n0djYWBBBUuJKJBIFxEXb4On/yyGuWiMoCkVRciL2coaQHeLaGHAI6jQFJY10Oo2JiQn09PRUpUjNMAymp6cxPT2N1tZWnHvuufB6vRXvV9vFp11o1yNBGcEMcYVCIUxNTeUQlzbi8ng8ht/peiEoI5TqLHSckNc/HII6zZA/w6QoCoLBIHbu3GnrcWRZxvT0NCKRCPx+Py644AJbZYaKEdFGISgj2EVctUxQlZyX2VkuvSFkx1CytuAQ1GkCo+FanudttaeQJAmTk5OYmZlBR0cHWlpa0NPTY7sGXrEuvtMVRsQly7LanKElrlQqhZMnT6KhocFUxFU1EBGc/H9glVdBmK0g5JKqdIs6Q8jrDw5BbXCs1nCtKIoYHx9HMBhEd3c3LrroIvA8j9dff70q/kz0zpe+F20b/EaPoKyC4zhd4nr55ZfR1dWFdDqdQ1wsyxY0Z1STuHjpv8DJ/7vy1xha+NeRYK+vyrH0YGUImWYGenp6nCHkVYBDUBsUqzVcm8lkMDY2hsXFRWzfvh0XX3xxznGMrNkrxemc4rMTjY2NaGlpydmWH3FNT08jnU5XhbhY+bCGnLLgsIBm3yEAu8rerx3QIy5JkhCLxdQI3hlCri4cgtpgWK3hWq2A644dOzAwMKB7nGpFNJSgFEXBwsICXC4X/H7/hmqSqDaMalBGEZcsy2o7fDgcNiSuuro6eL3e0gsyCcElPla4GUCD+zAY5YMg7KZK3qLtkGW5KOEUM5R0nJCtwyGoDYJqOdfmI5lMIhAIIBaLYefOnTkCrnqoVgQFZDX7Dh06hObmZvWuX5IkZDIZDA8P5yyaWsVuB1lYJXKO49DQ0ICGhoac7ZS4EolEAXFp2+Hr6+tziIuX/gigUJEeBGAYBbz0K4juT5f35qoEWZaLXkvlEJfTEm8Mh6DWOaoxXKuHWCyGQCCAdDqN3t5eDA4OmjqO3QQlyzImJycxOTkJALj44ouhKIr6oxdFEa+//jpaWlqQSCQwPT2NRCIBRVHg9XpVwqKLZjVIfD3BjmvFDHFFIhHMzMyoxOWvZzCw5VnwPAHPcWBZDlg5FQIClmHBKkcBEgcY64Pc1UIpgjJCMeJyhpCN4RDUOoXdw7VG6Z5IJIJAIABZltHb24uWlhZLxzHqtrMKbXdgZ2cnzj33XLz99tvgeT6nBkB/wG1tbWhra1O305kvWltZXl5GMpkEIUQlLr/fj/r6evh8vtOGuKq52BUjLiX53+AUBZIoIZ1OZztLV16jKAQ8z0HhRbDyq1D4S6t2jlZRLkEZwRlCLg6HoNYRquVcy3EcZFkGz5+6HKhOHsuy6O3tNSXgqodKIyhJkjAxMYHZ2Vl0dXWp3YGZTMaSkgTDMKq9+aZNp+oahBCkUimVuObn55FKpQCgYHbI5/NtyEVgtcGxMupcRwB4AI9H3U4be5LJJGRFQTyRQHzxKYwu+Aq+C1M1rirAboIyQjlDyPS5LMvC4/GoRLaer1mHoNYBqu1cS0mEEIKlpSUEAgG43W7s2rWr4O633H1bhSRJGB8fx9zcHLq7u7F///6chcEuqSOGYVBXV4e6ujps3rxZ3a4oikpcsVgMc3NzSKVSal1Fmypck9mhdQxWeQNAsmA7ncvjOA5ulxsutwuNjWm0dG9DIlWnmypcbeJaLYIyQiniCgaDSCaT2L59OxiGwdzcHL773e/iBz/4waqfqx1wCKqGQe8o5+fn1dRaNWpMLMsiGAxienoa9fX1GBwcRH19vW37tkIY2nmqbdu2FRCTdr9astZTNq/0vOmi197erm43qqto9fFqwUqjlsHJLxV/AoFajwIAF15HQ8P7Sta4ZmdndW8i7CSutSYoI9D3pigK3G63mg2JRCKIRCJreWoVwSGoGkT+DNPbb7+N/fv3277YEUIwOzuLcDgMnudxzjnnwOfz2XoMsxGUIAgYHx/H/Py87jxVPtaqnbxYXUVb39IKu9I0SygUUonrtAVJgFXeKv4U5HW5KW9BxvsKnlfsu0ilUojH44hGowXEpe0stJq2lWUZLpfL9PNXG5Ik5VxfkUikQD1/PcEhqBqC0XCt3bNEiqJgZmYGExMTajNBb2+v7eQElG6SEASh6KBvsf3W0ryT0eyQJEmYmppCNBrFwsICxsbGIIoiXC5XwdBrLS98doGTXwNQ4oaFEG0ABVYZA0gaYMyJDHMcB7/fX2DjoiiKGnFpiYumec3UG2s1gqKQJCnHJSAcDpddP64FOARVAyg1w0SbGCr9YciyjKmpKUxNTaG9vV0VcD127Jiuu6kdYFm2oJgLZBUoRkdHsby8jJ6eHvT391vqnKs1gjICz/PqgrFjxw51uyiKiMfjSCQSCAaD6gyX2+0uaIXXNq+sd7DKyyWfQwAghxwUsMoIFG6wsmOzbEniovXGdDoNoLBRRpKkmico7fUSiUQcgnJQHvSISe+ujef5gtDdCrSdcJ2dnWonHEU1h2nz952vQLFr166yUpfrvbbjcrnQ0tKSIzNECIEgCGqqcGZmBolEArIsw+Px5LTC19XV1fRCqQsSAqsESj+NEDDI/X5Z5UTFBGUEK8QVDoexvLycI7BbSx2eDkE5qBhWh2tpBGUV2rrO1q1bDRsOyt2/GdD0ZDqdRiAQQCQSMaVAcTqCYRh4PB54PB60traq2wkhyGQyBTNciqLA5/MVyAzV6gwXJx8z98S8JgkAYJWTtp9PKegR17Fjx9QOOTMR12oTVz5BRaNRbN26ddWObzccglpFlDtca5VAqIDr0tKSqbpOdjiyOhGUKIoIBoOYn59Hb28vdu/e7RCTRTAMA6/XC6/Xqzt8TFOFi4uLSCaz7dta4vL7/TVxh88qx009L79JAgAYMgOQKMA0GrxqdUCbJLxeb0Wpwmp9H04E5cAS7BiuNUtQqVQKo6OjCIfDRQVc88GyrO0RFNXsC4fDqK+vx969e9d8gdxo0A4fG81wGQ0f+/3+HImoqoMI5qOgvCYJimwd6lxbT8sqitWCS6UKk8kkYrEYgsGg4TC41+utKALOPz+HoBzows7h2lIElUgkEAgEkEgksHPnTstRip01KHouyWQSvb296OzsxPz8fFUXQYf4cqGd4dIiv4stk8ngyJEjq+L/lCUnHWFYHaxMtOnsY7ymCcoIWuLSztRpbyTi8XgBceW3w5slLu33Fo1GHYJycArVMAjkeV6XoGKxGEZGRiAIAnp7e9HW1lYVAjSDeDyeIyZLzyUcDlctfejAGvLv8JeWlrBv374cG418q3gtafn9frhcLtPXWEoeQ1J6Eyy82MQErZ2sziEYMm5tH1UAtYe3A8VuJIyIK7/mWIq4IpFIgd/XeoJDUDahms61+QQSDocRCASgKAp6e3tzCurlwKgV3Ay0JNnX14fW1tYCReZqE5QgCOoEvQNz0LboGw28SpKkpgmXlpYwMTEBQRDA83wOaenNcEWEFxFMP0qPhgSmsN21BS6m/FkvVpkCiAQwG3vZMkNc+albSlyiKCKRSKjE5aT4TnOshkEgx3EQBAHLy8sYGRkBz/Po6+uzbUK8nAgqGo1iZGQEkiSpxKSHalqwK4qC48ePIxQKqXU0t9uNdDqN2dlZNT2y7tqxVwFmak88z6OpqangOqOLIF0k4/E4JElSTSNd/jkkPY+B4xgwDAsGGaSVCOZEgm3ubRWctQiGzIIwlexj/aIUcUWjUQDA6OgoHnnkEfz617+GIAj49re/jbPOOguDg4Po7+83nKt75plncNttt0GWZdxyyy340pe+lPP4888/j9tvvx1Hjx7Fo48+imuvvTbn8Wg0ij179uDDH/4wvv/979vynh2CKhOUmBYWFpBOp9HV1VWV9l5CCBKJBGZnZ9Hc3IwzzzyzYgHXfFiJciKRCEZGRkAIUe037Nq3WdCW9WQyif7+fgwMDECWZTAMA0EQ8Morr0AURUxNTaleUPQO83S01NBDJc0RLpcLzc3NBXfmgiAgFl/EjPhLiOkUZDmbTfC6YvC4ZYTlMPzwo9nVXPaxWWUcMnt6EpQRKHFxHIeFhQWcddZZ+MY3voF77rkH73nPe3DWWWfh+PHjeOyxx3DHHXdg3759BfuQZRmf//zn8dvf/hZbt27Fvn37cPXVV2PPnj3qc7Zv344HHngA3/nOd3TP4+6778a73vUuW9+bQ1AWkT9cSzXYqqGTFwwGMTo6CpfLhU2bNmFwsDqDimYiqHA4jJGREQBAf3+/6ejNToLSDvn29vYiFAqho6MjZ57M4/GA53ls375dfZ3WUiMej2N+fh7JZBIMwxSkqk4XZfJqdO+53W6Q+lfgyTDwgHayETByBCDZSHpGmAGTBIBspoHnOHA8n/0/x+UpSBSCIWMA3mnreZtFrSuX5LeYu91usCyLj3zkI/jIRz5S9LWHDx9Gf38/ent7AQDXXXcdnnjiiRyCokooejd2L7/8MoLBIN7//vfjpZdKiAFbgENQJmE0XOtyuWxt0VYUBXNzcxgbG0NLSwv27t2LVCqFYNBikdkCipFIKBTCyMgIOI7DwMBAgdZcKdhhWJjJZBAIBBAKhXKGfAMBY1UC7QJczFKDNgeEw+Gc5gCtKjltDthIqAZBSUoUYeH5/COBYZIAw6jqEIyPRRPbBEWRIclyVtxVELJpcpxSKafkxbGsSlysMmHrOVuBoig1HXXnE1Q6nYbXa06/cHp6Gtu2nYpMt27dihdffNHUaxVFwR133IGf/exnePbZZ62ddAk4BFUCpYZrqQyRHceZnp7GxMQENm3ahPPPPx+eFTM3YeXHWy3oRVC03uVyuSryhaokgjIiJi2KeUKVWoCN5lZoc0A8HsfCwgJGR0dzdPK05LVe61vVIKhl4VkoJM9EDynki8OG5BCauCawHAd3/udHiKquL0kSMpprn+M48FwSy9FJ1NW3rfrwcb6pZ60hn6DC4fCqKJnff//9uOqqq6qiWFG7n/YawspwLcdxFREUVbuenp7Gli1bcOGFFxbcrVdTigjINSykxOTxeGypd5VDUFoh2R07dhjKIhkRUaVCsnrNAfk6edPT0+u6vmU3Qckkiah4SOdAiYJNCSWBjJKBh/UUPh0Aw7Jwu925XZmEQF65WczEApidC6+6gaQsyzX9vVaiItHd3Y3JyUn176mpKXR3d5t67aFDh/A///M/uP/++xGPxyEIAvx+P7797W9bewM6cAhKg3KGa8uNoERRxMTEBObm5nKszI2OUW2CSqVSOHz4MHw+H/bs2VMQVVSyb7NkkU9MpYRk7XLVNYNiOnlauaF81Qa/36+OHqyaaoMJ2H0uMfFlKKTwd8DoEBSQjaI62A69E9NVkQDDqN5a27sZdPcMATA2kKSNA3YaSK4Hq418gjIbQe3btw8nTzOMkXcAACAASURBVJ7E6Ogouru78eijj+Lhhx829dqf//zn6r8feOABvPTSS7aQE+AQFIDKZpisEpRWwLWYY6wW1YqgCCFYWFjAyMgI0uk0LrzwQtucdCnMkIUgCBgdHcXS0pIlhfNqRVBWUExuiNa3IpEIkskklpeX1eFXunCuVX3LToIihCAivqDziAI9a3cAiCpRbCFbClO2gIlGiWn132YNJOkMV3590YqB5HogKK0XlBWC4nke3//+93HllVdClmXcdNNNGBwcxD333IMLLrgAV199NY4cOYJrrrkGoVAITz75JO69914cO2ZSALhMnNYEZWQQaAVmI4R0Oo2xsTEsLy9bMuYDKk8j5oMQgvn5eYyOjsLv92NoaAjHjh2znZxKQUtMPT09prUDKWqBoIygrW+xLItkMokdO3bkDL/mGxhqSava9S07CSqjTCEjzxRsz0ZP+t+DSESkSRo+Js8k0yiC0oBVpks8o7iBpLa+aMVAcj0QVCVCsVdddRWuuuqqnG1f//rX1X/v27cPU1NTRffx6U9/Gp/+9KdNH7MUTkuCWo3hWopkMonR0VFEo9Gy/Y/sGnbVtq43NTWpFu+UqFcLlJgWFxctidrmYzVTfHbBaPhVEAQ1Taitb1HVbK0quR3Xqp0EFdWNngDGIHqiiCkx+NhcgjIXQc2WrShR7POnNw5GBpKiKNZMilYPG03JHDjNCKqUc62doNp0qVQKO3fuxJ49e9bs4iaEYG5uDqOjo2hpacG5556b0366WudF7d0XFhbKipjyQRsw8u9qa3kRMYLb7UZra6tufYve8WvtNLSq5FQF28r7tougFCIhJr5icBD9+hNFTI6hnW/P2WbuvGQwZB6E6bJwpsVBmzKKGUguLS0hnU5jaWkJHo8nJ1VYC4olegR1xhlnrOEZVY7TgqDMOtdWegyGYRCNRhEIBCCKoqqTt1YLpnamqrW1Feedd57puQg7QQjBiRMnVGKykt4shmIR1EYQqNXWtzZt2qRu16qSaxsDtOKudPE0qq/YFWGm5BOQSVrnEQVAquhr0yQNkYi5+nwmUnwAwJApENhHULrHyGuModdsV1eXaiAZj8drxkDSiaDWGco1CLQKjuOwtLSE8fGs2rIZCaBqQlEUzM7OYnx8HG1tbTkzVasJURQxNjaGRCJhKzFRFEvl1WqKzw5o61tbtmxRt0uSpDZmLC4uGta3aCHdjt9CXDyqu50hSRjVn7SIyTG08pqoMXtiJV/HKtNQVjlgoVqPxQwktWKuegaS2lEE2welJWlDeUEBG5CgtDNMIyMj2Lx5MxoaGqpCTHRuKB6PY3x8vCylBavHK/Y+FEXBzMwMxsfHsXnzZlxwwQVrovBNiWl+fh7bt29HfX19VYb4ijVJnI7geV63MYCmqeLxOGZmZpBIJCAIAgghGBkZURdNq3f7hMiIS382eLR4ek99lpJAKzRCw6YjqFlT+7cTpZokiimWFPN9qiRVqwUhpICgVmNQt5rYcAQFQP3xiaJYlcImbc8eHR2Fz+dDU1MTdu3aZdvskB5oq7nerJSiKJiamsLk5CTa29uxb9++miAmGjFNTk5WZQbIqHmklpsk1gJ69ZVwOIyZmRk0NTWVXd9KyQHIRL8RgjHYno+kksy5NsxHULVHUEYwYyCpN8NVqYFkNBpd115QwAYkKNr4QAiBy+Uq2+dID7TZYGxsDI2NjRgaGkJdXR2OHTtmaxu4HvQISpZlTE1NYWpqylCFwgrKJRFRFDE+Po5gMIht27YVpPLMSg9ZBd2vJElIp9Nq2sQhqNIghIDneWzatKmgvpVKpRCPxxGNRg0HX/1+P+LK6wZ7L11/opAgIUMy8DJe9bzMXSUxgMQAxl5l/2Kwu83cKFVrxUCy2I2ok+Krcdipk0drOnpdcNVWegByh3VlWcbk5CSmpqbQ2dlZVIXCLIw64opBkiSMjY0ZElP+vqtRLJ6amsLS0hLcbrc6iCmKIoLBICRJgt/vr2n9tLWE3g2D0d0+HXyNxaKYWBpBfDIOd9MfwPKpFY08HhyfVXpgmUL9vWJIKkl42ZXfk4UbGYbMgaxjgjKCWQPJ8fFxiKIInudRV1cHURQRDofh8Xjg8/kgCAJ8Pp/BUdYHNuQvl95Bu1wuZDKZsvcjyzKmp6cxOTlZtKZjFxEWAzUtDAaDmJmZQVdXF/bv32/b4ksJ0MwPUJIkjI+PY25urigxUdhtWkhTmvPz8+js7MSFF16oEqAkSTh27Jg68zUyMgJZltW2YPrfetDLqyasRrQcx0HxpfFK+ldIN6Sg+FNoYBX0uP2AokCWJaTTGciyBBcXhtctqdEsyzAAGF0bdyBLULQOlb1KzJ0Xq8xCZgdMv4dKsdaDusUMJCORCMLhMObn5/HTn/4UzzzzDFKpFP72b/8WQ0NDGBwcxN69ew27eMs1K3zttddw6623IhqNguM43Hnnnfj4xz9u33u2bU81CJfLhUTCXLFWC0mSMDk5iZmZGXR0dJRMndmt9KB3PolEAkePHsX27dtNySNZhRlRV0pMs7OzpojJyr7NQNsEsmXLFmzZsgWdnZ3geR6CIADI/oi9Xi82b96s/pAJIchkMojH46qCAC1Sa9MlNGVyOjRZWCWosDiP50KPQ1CyN3wyiWNeFCERgl0+b87vg1XCAOHVhiV5RYgYoJ20yDrtrhw/oSROnQ+BWX5a9UaJtSYoI7hcLrVueMYZZ+Bb3/oWvvnNb+Id73gH/uIv/gJvvPEGHnjgAfz93/89+vr6Cl5fiVlhXV0dHnroIQwMDGBmZgbnn38+rrzySttSixuSoOiFz/O8pRqUtpbS3d1tOnVWrQhKKyjrcrnQ39+f0x1kJ4rp/ekRk5UfaqUERQjB7OwsRkdHsXnzZvWG4c033zTVJKFtC86vt9CUSSgUwuTkJARBAM/zKmFRAttoaUIrBCUqAv4U/i+VnABAJjEAwLIkISiK6FAzCwRAKhswaTyg1IcAKESBQhRAISAkW4cKSSHUcT5Isgye400RlUNQp5Bfn85kMvD5fHj3u9+Nd7/73UVfW4lZoXYQuKurC+3t7VhYWHAIygzMNkloFQ6sRAYUPM9XlErMh7Ybjp5PIBCoauFfj0QkScLExARmZmawdetWy8REUe7gLE3TBQIBtLW1FXQnalOH2sXWbJMEy7K6uX5RFFXZodnZWcTj8RzZIW1b9nqNtqwQ1JuJF5GStZkIGTI51QQxlsmghefhYVkwSAMwqMeuHI5l8n5bBFA4BYzCqNqY6UwaDMOotS1qXqg9Z1aZBQgx1fVnB2rZsJDWoigikYjpkZdKzAq1OHz4MARB0I3SysWGJChtBFUsstFaiPf09KC/v7+sC9CuCEpLlPmCstVOI3Icp5KIXcREYTWComK2gUAAzc3NhoPGRsRXaRefy+VCS0tLgewNtdXQ2sZTPyJtfWstWvytwixBxaRlnEzmShnJJJ7zt0KAWUHEDq8HMNlengMGEBgBHq8XsqKA5/msfbyiZB13JRnpTAZyMtuSfsoqPoOENAVfXfeqEUet3pDkR1DRaHRVO/hmZ2dx8OBBPPjgg7Z+FxuSoCiMIqhkMolAIIBYLGbo1GoFlRJUJpPB2NgYlpaWDJXOV8O0kIq4Tk9P20JM2n2bIShCCBYXFzEyMoKGhgbs3bu3aBeSlojyLd6r4QelZ6uhbQnWdlZp1Ru0xpe1ArMEdTT2P9l0nAZSHkEBQFAUsNXjhrscggKQUlKnzotaw7MsXCybW/8l2UhGliVIsozFhdcxH5oDsDpqDbWKSrygKjErBLJk+IEPfADf+MY3sH//fvMnbQIbmqDyF0atgGtvby8GBwdtuYDLbTPPN+grJp5K26erAVmWEYvFcgZs7Z73KEUYS0tLGB4eRl1dHc4+++wcXxsjaImonBSfHTBqCdaqky8tLSGVSmFxcRE+ny8nTbhWi6gZgopJy5jJBPJfCVmJFTxXJkBQELDNVR5BZUgGMpFL154YgOVYsJwbLgC9O+rQ078vR60hFothbm5OddzV0yfcaMSlZ/duNoKqxKxQEARcc801uOGGG9TOPjuxIQlKeycNZO8mAoEAJEmqioCr1QhKm1rcuXOnKQsOjuOQTuuJcpYPWZYxMTGB6elpeDwenHHGGejs7LT1GEDxGlQoFMLw8DDcbjcGBwctqXHUsh+UVp3c4/EgmUyip6dHHYLVW0S1acJqmxiaIaiTyVcLtikkA2JQY5oVM9jKi2WVhAgI0iQNAmvdhQzJRk9aImpvP6WQro1wtcaFtBFGS1zFGmHW+noqBUmSclrIrQzpVmJW+O///u94/vnnsbS0hAceeABA1lV37969tryvDUlQFKFQCMlkEiMjI+jt7a1aTtYsQaVSKYyOjiISiVhOLdqZ4tMO+nZ3d2P//v05Ib7d0EvxRSIRnDx5EhzH4cwzzyyIQMzudz1JHWm12vIXUa2J3ujoqOpFlL+I2pXfL0VQgpLGeOp4wfb8+lPuayREZB7NfHnp7pSSgpd4zHaZAwBYZa7o40YRriiK6mc+NzeHeDyuzsvlW8XT66yWo661Miu8/vrrcf3115dxxuawIQlKEAQcOXIEbrcbXq8Xe/furWoRtVQDg7bm1dvbi927d1u+2O1Qq9ASU/6gL8uyVatxaQkqFovh5MmTIITgjDPOqEhcd6PYaui5v1IvIpomnJycVGf68tOE5QiMllpwR1NvQCKF17RcxOOJgYxFyVM2QSWVJDzwWOrKY8hcWZ18LpcLzc3NOYs4nZfTWsVTGw2v1wtBELCwsFCT9S09gtq5c+canpE92JAERdNF9fX1eOmllyCKYlXtJowu1EQigUAggEQiUXHNq5IIqhgxafdfrcWeWp6/9tprkCQJ/f39tkSzRpGSXYPBawmtF5HW0kGrlZfvBZUfbRVLE9JuOKPHAik9Gw0CpagJoYwlyYVeArBlXOYpJYUm0pQ7O1USAoAQoFVELxPFbDTC4TCGh4fViIumZmkHp1Ybby2IayN6QQEblKAYhlG1xGj6bTX9kPKbMTZt2lTxRVtOmzkVk52cnERnZ2dRaSSWZavShEEttBVFwZ49e3IcYyvFerR8rxTaWku+F5TWzoFalmudX6kXVKmU1bI4h7gUKdgukySIoceTAkCBBBZh2YVW3vq1JEHKNkpY/KmwyhwUzr7rKh8Mw8DtdqOuri4nKjESdeV5viBNWO2aYj5BrXabebWwYQmKwm5F82KIx+MYGRlBJpNBX1+frc0YViIorcp5R0eHKc0+u6OOVCqFkZERJBIJVT/MTnICNjYRWYWeTptW4ol2E1JLDUII6urq4Ha7C+wcJtJv6h6jWP1JKw67KLnLIigAyCBj+TeTbZTYU/J5lUBPRaJUfYvenGlvFrQdhXbaxDsR1DoDXbxWQ8g1FoshlUrh+PHj6O/vt30hBswRlNYXqqOjw5LKuV1NGOl0GoFAAJFIBH19fdi8ebPqB2U3jKI+h7iyKCbxNDw8DEJIwZ1/nb8Ob3teBeFkcFyuckPx+tOp31hIcpUt8JBBxmoApXbyVRNWZI6M6lv5NUWtTbw2yi23vqV9TSQSWfdeUMAGJiiKakZQ0WhUVcv2+Xw499xzqxbKFyMQLTGV6wtVaQSVyWQQCAQQDoexc+fOnEaQajVgUCISBAHz8/M58kMOQRmDZVk1ZaXtJhRFEYHwMYiJDKS0DFlOgBCA41hwHAOZT6gK5YU49f1KYBFTeDRy1m8MM0wGVnN8pTr57EClOnxGNUWtTTxVKEmlUmrHZ7n1LYegahxayw27CSoSiWB4eBgA0NfXh+bmZrzyyiuQJKlqBKXXUm0HMVGUG0FR9YmlpSXs2LFDt3W+WvUtRVGwsLCAmZkZtLW1YWlpCYlEQlVyoH5Qp5NKuVno1aBcLhdCrml4vVr1DgJFUSBIYUgk+2/Q65DNisGyLMDQFN/KLsOSqyyCEhghOwtlgaTK7eSzgmoJxRrZxNP6FhUy1poWmpnfogae6x0blqAoeJ5XrRUqRSgUQiAQAMMw6O/vz8n3r0YqkUJRFExPT2NiYsIWJ13AegSlFbTt6ekpqoJhd32LDhiPj4+joaEB559/PiRJUhfcmZkZJJNJeDyeHJVyKj9E/7OzBrDeoEdQMpEwW6AcwYBlObC8AE7J/ayydhoKiCJDYVZIi2Q5alnisc29QjQWeEOBAgkSXLByPdvXyWeE1VYyL2VaSKOteDwOURSRyWQwPDyMyclJuFyuIpFuIcr1ggKABx98EPfddx8A4K677sKNN95Y4TvPxYYlKPrluFwuRKPRivZF1Q54nsfAwIDu7M5qEBQhBJOTk5iYmEB7e7stxERhNoLSmhUa6Qbmwy7DQm3E2NXVhTPPPBPxeLzg+DSF1dHRkbOd1gDi8XjOXBH10mloaDhtoi09ggpmxnVnnwD9+lN2EeQASKciHpJVhYgrPDISAb+S+st6FmbNCxmqZm7wEaeVNFycxRR1lTv58sVY1wp6zTDpdBpvvvkmWltbcejQITz99NOYnJzEeeedh97eXgwNDeELX/hCTmqRohIvqOXlZXzta1/DSy+9BIZhcP755+Pqq6+2NbW49p94lUFTPVZBCMHy8jICgQBcLldJtYNqEhQ16kskEkin07YSE0WpKIdGLVTh3IppYqUDtVo/qPb2drX5Y2FhwVKbuVZ+iEJRFLVVOBwO5zQMaKOt+vr6DRVtUYISFBF/XHodM5lFzGXG0OKS0OLicsiLQIJCjO1kGK30EQOVrKLwot0lqD5QhJAVHyhJzRLSO33tHX+KpNAAa8oi1e7koyoTtQhZltVr++DBg7juuutwxRVX4MiRIxgdHcUbb7xheO6VeEH9+te/xhVXXKH+nq644go888wz+MQnPmHbe9vwBGXVtJAQgqWlJQQCAXg8HuzevduUPpwdSg/50DrItre3o76+Hv39/VW5uzeKoBRFKRjytbpQl5vio7YbIyMjaG1tLfCDssNug2VZlYS0oJ5Q8Xgc09PTSCQSUBSlwFpD2569nkAIQVxJ4z+mDmFeCIEQICgsYSqtYJvXhd76Uwta8eFcAiP/p7DsyhLUysfDMAw4cDkvJSAgSpa4iJx14I0kw6jn6lUPKI7jSn7G1e7kq2WzQiMlc5Zl0dfXV9SfqRIvKL3XTk9Pl/EOjLFhCUqb4jMT2VCrh0AgAJ/PpypRmIWdEZSWmDZv3qwuzMvLy1VLNeSTiLbOZbVlvdS+zWBpaQknT55EQ0MDzjvvvBwhTIpqDurqeULlqzhMT0+v22hLUCQ8tfwnJFkh+zdJQVlpdJhMi/DzLNo92Si9WHu5dv4pH1G5RLv5SrTFcCtP4ABJlKC4CNysG5IsQUylIMsyCLI3URzHged58BwHluVOmSBWuZNvvRHURpiBAjYwQVGUiqAIIVhYWEAgEIDf78fQ0JApqwe94wiCUMmpQlEUzM7OYmxsLIeYKGiUUw2CovsmhGBmZgZjY2O21bmsEFQ4HMbJkyfhdrsxNDRU9CZhtZUkjFQctA68MzMzqgMvnW+hn2stCY6+LI4gwiXhYrPXUlrJJaG34xn4eQ51HFuCoIyzBhnCIkNYeBmTNycrX5kECYyLgc+t6UIjBLKiQJakrONuOg1FUbJRGceB40YRSS7D72+oSifteiOo1fCC6u7uxh//+Mec11522WWmXmsWG5agtDM4eouV1rW1sbHRtAeRESpxvKXEND4+rmttrj1GNU0LRVHEoUOHip5DOTDTJEFFZAGYVjevBT8owNiBl0ZbVE0gFAqpbcLaaGu1i++jyVm8JU3Dw3tWzhVIy7k+TgqAsaSA3Q0cFGJ846Ud0NVDRObhZa3fuKWVNPycJu2qEhEH7VVJCMmSliwitDiC0VEuR7VB27FZiWD0eiKocDhsmqAq8YK68sor8ZWvfAWhUAgA8Jvf/Abf+ta3rL+BItiwBGUEQgiCwSBGR0fR1NRU0rXVLMpJ8dHi/9jYGNra2nDBBRcUJYVqEJSWqGVZxv79+20vBhdrkkgkEhgeHoYgCBgYGLCUmqhluw3tfAuQVbTfsWMHJElSa1uzs7NIJBLqoPdqGBkqRMGvF47kONdKRICsEwktCBK6xBRcRU+j+PUYkV3Y4rJOUCmSgh+la78Mw4B3ucC7XOjfWQ+F25Oj2kCdjqnEE+3YtFpDrHWCWgsvqNbWVtx9993Yt28fAOCee+6xXUXntCEoRVEwNzeHsbExtLS04Nxzz9Wta5QLKwRllZjKOYaZc9Daq5977rl45ZVXqtKppJfiS6fTGBkZQSwWw8DAgG4LbCmsR7FYnud1ZXC0agJULZvjuAIjw0qjrePxcSyLuWMXacXYBXc0KeAMwyxr6ZulknWofDD0nKybczJkFsCeokrwtGNTW0M0E9XWOkGthRcUANx000246aabLJ6xeWxYgqJ3RYqiQJIkNXV1/vnnV2URNkMeWmJqbW21fC52RFC0fd6qvXol0BKUIAgIBAJYXl5GX18f9uzZU3akoI3MtPWdWiYoPRipCeQrlFNZLa/Xm7Ogmo22FKLgT8t/LtieMSQogpBIkJA41PN6113pa9FqHYq+izQph6CKN0oU69jUMy/0er3qDUKl9eVqQo+gtN116xkblqDoUOf4+DgIIRgaGqrIHK8UirWZE0IwNzeH0dHRsoiJolKCosTk8Xhw1llnWepSrAQsy0KSJJw8eRLz8/Ombe5LoVgEtRFgpFCeTqfV9FUwGMyxjW9oaFAX1fxmAb3oSSYyBKMZJ5KVNZoXPNjJF5IYY4KgAKt1qOx3JxABMpHBMeajFlaZNf1cLYzEXdPptEpcgiDg1VdfBYAcmaFaGOzeqFYbwAYmKIZhIAgC9u3bh7feequqjrqAfgSlJaaWlpaKo7dyCYqarXEch927dxdtQLC704yaJUajUXR2dppSnjCLfIKi577eIigrYBgGPp8PPp+vQLtNzzZe6wf1p+RRNd1GQMAwQEYxlgEjKwS0JHiw3ZcEV3BZmLsWYybrUPleU2mSRj1j/iaKIcEsqTKVX1/az3nTpk1YWFjAvn37oCiKaqWhldHSjhpQ4lqtlKDTZr4OQYfUqOVGtT2htIrdtBEjEAigpaXFcI7HKqwSVDQaVUVtzdir01ScHT8srSxRZ2cn/H4/tm/fXvF+taBElE9KG5mgjGBkG0/9oAKRaYxFZ6DI2VSboihIZzJIsTFkBfQKb0ooQcmEwbLgxmaPlmRkwNC8MBdRxeQyk7e7tJJGPWslyhfBkEUQpr30U8sEy7KGHlDa5hftqIG2jliN5heHoNY5VsO0kC6KNGJqbm62jZgoOI4z9T7i8ThOnjwJWZYt2avbQVB6skQcx2Fuzv5BymLt66cbQelB6wd1SD6BRpJdVAkBotEIGABpOZFVcUA2ucasKJQzDKMSFADMC14dgjKHlMJBJAxcjInvRLN2l1eHmgVB9QjKCEajBsXSsVriqmSkQ1GUnKyEQ1DrBKtlWkgjpkQigeXlZds7BCk4jkM6bfyjpS3bmUwGAwMDlkUbaYRWzqBjKVmiaoBhGMiyrKa03G43Ghoaqj4vtt6QkjM4Hh9X/2aY7GfHugFW5sCCw4ru0IpeHoGiSABDP0MGMZFDWga8XJbKSs0/5SMm85Zddsvr5JsDcI7l1xVDuTc7pdKx1OV4fHxctYjRpgnNKpLkp+U3ihcUsMEJiqJaEZR2hqipqQl1dXU5Iot2w4hok8kkRkZGkEwmVUffctII5WrmmZElqgai0SgikQjm5uZwxhlnqDNG4XAYoVAIhw8fVmswVKm8WvNFtYzXoyOQSS5hEwJkiLb+lLXFyOrlAYTIUAi9K89Wh5YybmxxJwACcJykZgUZzeuNEC2DoDIkA4UoYC3UlFhl1kJsZw52t5jrpWMB5DjuavUfrc7IJZPJVWuAqjZOG4LKZIzVmK0in5hoxPTCCy8UhNt2Ij8y0M4S9fX1YdOmTRUtvlYjDyuyRHYiHo/jxIkTqnjr0NAQBEEAIQSNjY1obm6GoigYHBxUazCxWExNsWjni2jXWy1YKVQDhBAcjeV7PGVRvEFCeyOUHekNy1508wIAGQxh1KYGsiL6Sr2gVHFYDWlFZReA4r5s+UaFBAQZkoGPMT9In52FsherNQOlp7avVSSJxWLqjBxtma+vr4csy2oERqO9ajeFrRY25q9yBXSxtqtJgur2jYyMoLGxsUCFgkY41UptUQLR2qv39vZWNEukhdkIqhxZIjuQSqUwPDyMVCqFgYEBNDQ04OWXXy54nrZ5gtZgNm3apD5O54tisZiumgONttarUrkWQSGERSFcsF2BDIkIBhO0BIQU3qjEJR4ZhYWHzeTYaqg8RFZeS4+RZS4AQIywkCQFHMcYmxjqZNLSSho+1gpBLQBEBBj79PjWckhXOyPX3n6qtkbThJFIBIqi4M9//jMefPBBHDt2DMlkEj/72c8wNDSE3bt3F+0cLmVWmMlkcMMNN+Dll19GW1sbfvGLX2DHjh0QRRG33HKL6iR+ww034Mtf/rLt739DExRFpSm+UsREQfX4qkVQiqIgHA7j5Zdfxs6dO3Xt1StBqQiqElmiSkCHe0OhEPr6+rB582Z1SLccJQmj+aJSSuUNDQ3rzoX3jdio7naJMc4o6JETxbLgRpc3rv/gSvhEr0j10lzhqYTCww8xp9sy3wsqH9YbJRQwZA6EsW9QtRZVJGia0OVyIRwOY2hoCHv37sXY2Bg+9alPIRgM4tlnn8Wbb76JX/3qVznkRmHGrPAnP/kJWlpaMDw8jEcffRRf/OIX8Ytf/AKPPfYYMpkM/vznPyOZTGLPnj34xCc+oXpH2YUNTVDaCKpc00Kt0nkp3b5qNWNQe/VgMAiWZbF///6qhPBGEVQ6ncbw8DDi8XjZskTlQOveqzfca4cflPY1eneq2vbhyclJJJNJEEJyfKEap/I6tQAAIABJREFUGhqq3hBSDmSi4FhsTPcxkckY1oxIkSpOSHShy2uxyrMSbcXhRhOv0IMAWGnIIAqIkvWFAnMq1cewDFJF0pCGhyMzINjYBEWhbTFnWRbNzc1oa2vD3/3d35V8rRmzwieeeAJf/epXAQDXXnst/uZv/kbNTiQSCUiShFQqBbfbXRUhhA1NUBRWIyitTp3f7zctB2Q3QeXbq1944YV47bXXqlrj0i742silt7cXg4ODq5LyojNUExMT2Lp1q+Fwr5GCuZ1zUEa+UFTTLRQKYWJiAoIgqA0ZdiloV4JgOo7XwmOYSsTQ7MlzyCWAxAjgob/okiIdejGJg6gwcLHWP9+Ydh5qJdpiNedFZ7To96fICuJSHKFUCDzHqwaGPMdnP1eDS5FVpqHYyCfrhaCAbF3YbGbDjFmh9jk087C0tIRrr70WTzzxBDo7O5FMJvHP//zPtgvFAqcJQZkljnKJyepxSiHfXp0u0ISQqrZP02FjSZIwOjpqqywRUFqlgs6RBQIBtLe3Y//+/WU1L1R7UFdP081IQZthGLAsC47jEAqFdCWI7IQgS/jv6bfw/HwAwUwIUSkFv4tFf7MXDe7sIiuQNKBOPuWDZNUYDEEQkbzY5LYe2cTk4t8lAQHLsOosFoWvzgsX3JAkCZIo5nhB8RwPjs+aGFLnXYbMWD63Yqh1gtKe22rNQB0+fBgcx2FmZgahUAiXXnopLr/8cjUaswsbmqC04qHFoHXTrURAtVKCorJA09PTuvbqq6GQQBUwtm3bZqssESVYve+Cfv7Dw8Nobm7GBRdcUJEk1FooSRgpaMuyjKmpKUQikRwJonIFX4shI0v43tv/h8lkGIQAcSlbv4mLCt5YSuHsTT7Uu7gi4rAAIaWuX4KwWB5BCYRdabKwNsqQRgZezpf9LWiuC6IokGQZ8oqBoSxJ2cwhcxxzyQD8/myzi9frreizrXWC0t7wRKNRW80K6XO2bt0KSZIQiUTQ1taGhx9+GO9///vhcrnQ3t6Od7zjHXjppZccgrIThBAsLS1hZGREbVeuRNm7XILSygJVaq9eDrTCus3NzQXEaAdofSuf8GirusfjwTnnnGOLsnotSR1xHAefzwdCiFpANlIYyLd9sKLnRgjBw2OvYTKZ7dhLymnVwh0AJIXgjcUU9rbXmdLfM3oUAMKS15qFhgYxhYfHooFhWklDLxvJsCxcLJsbkRJAVmQkGBnRlS7NdDpd0Wdb6wRVbgRlxqzw6quvxoMPPoiLL74Yjz/+ON7znveAYRhs374dv//973Hw4EEkEgm88MILuP322219b8AGJ6j8uyZ6B68lJp/PZ5uyN8/zRZUe8qEoCmZmZjA+Pm6bvboVaGWJtmzZgv7+/qr9GPMbGqgck6Iotreq1xJB6cFIYSDfzJDquWkbMoza3383N4JXQ6dSWzG5kIQEhWA4nEKL34ggSNH6EyUoSWERl91o4K1bUMRkHpuMXmeQdUwRC9Eak70paG8TsKl9UN1sxijSKNoqV11lNVBts8Kbb74ZBw8eVAUAHn30UQDA5z//eXzmM5/B4OAgCCH4zGc+g7PPPtv297ehCUoLOgsVi8UwPDxsKzFRmLV91/pCbdq0aVVkgfKPrydLNDc3VzXfGxpB0Y7ARCKBgYGBqhRWa52gjGBkZqhnssfzvDqvJbg5PDXzlvoahRAkJP1FfSElgHdx8LE6TUMr9hrGOPVYWPSWRVDREnUoPYJKK2nLKvsMmQZwiqCKGUXmD8HSaIval4iiWLPKDPkRVDgcRmdnp+nXlzIr9Hq9eOyxxwpe5/f7dbfbjQ1NUPSCJoSAEIKXX34Z9fX1VfNCKpXi06qcV+ILVYklBq316MkSlSt1ZBbDw8OIRqPo7+9XZ5kcFAfDMKou25YtW9Tt2oaMn4++gqVkCED2JklgZUiKnJUIyvuIFSJjLu5GT0NhpF86vXeKoCKSp6xG7oTCQSEAa/DV621WoCBDMvAy5iW0WGWqpOSR0WiB1ihybm4OCwsLWFhYwMzMjO11w0qhV4PatWvXGp6RvdjQBAVATeWl02mceeaZOT9yu2FEUNpB36ampor06ugwrdUalRlZomqIrMqyjPHxcYRCIezcuXNVWtXXetFYDVBZnHlOwty8jGZ3EwjJft6RzDIIIZBkacX36dQwrExkyDKDaMaFTXlBe/H0Xi4SkhuSwoC32G5OwCCu8GjkjI5lPLDrhfnfDEP0LcrNIH+QmxCCzs5OuN1uXWXyfLv41UwH6tWgNopQLLDBCYrWmvbs2YPJycmqXzj5BKWtddXX15cc9LVyDLMEZUWWyM4ISlEUTE9PY2JiAt3d3Whvb0d7e3vVyON0IKV8EELw39OnUnvMSv0lg5VFi1OfuDIQK2eFiBRgKeVGszcJlj1FXsUUJIDc64IAiEoetLqtK47HZH2Cyjcs1MKoUcIIDFkGSBxg/KWfXAL0hrCYMnksFsP8/Dzi8bhaF9I6HNfV1VXlGt3IXlDABicohmGwa9cuEEJWxRNKS1DUXt3r9dqaUjQb5ZQjS2RHBKVNY27evFlt/Dh27FjV0oeEECwvL0NRFDQ0NNRsQdtuvBldwFQyV2cvv3sPAMBkB2IVIoEhWR08UeGQkFxocEtZyShIIIxSqK+nRjSF5BGWvGUTlC6KBGOWGiVWwCqTULjdll+XD1mWDcctShlFxuNxzM/PI5VKqelabcRV6bWan02JRqNOBLWeQAvmq0VQ6XQaR44cgcvlwp49e3KGOe1AKRKpRJao0giK1rcaGxsL6mtGskSVQpZlvPTSS3C5XOB5HmNjY5BW5mICgYDaSFDpLEwt4jezJwu2xXW69yiUvAhpKeVBo5eAZQCFSCCEhRrHEFp1UrJGhjofXUT0lNVuHlV4y68rr1FiEoA9BGUlpW4kUkyjrXg8njMTl69A4vP5TM8f6pkVOgS1DlFt2/dIJKKaBe7du7dqCt9GBEVliZaXl9HX11dWrafcCCoSieDEiRNwu92GQ852N2Akk0mcPHkS6XRanZ+SJEkdCD58+DAaGhrUtuJ0Ol0g/FpfX79ubQmGY0sIxJdythECJCT9iIZAgZIXoqQkFmmJhc8la+pPTKFlRn5EtoKMwiMts/Byck7kVQoiYZEhLLyM+etBgYI0SVuy3jDTKGHq2DZZ6BhFW4IgIBaLIR6PY3FxUVUgqaurU69Ts6678Xjc9pvitcSGJyi6SLtcLiSTxhP05YK2rSuKgv7+fhw7dqyq9hP5JGKnLJFVEkkkEjh58iQkScKuXbuKikXaRVCCIGBkZASRSAQDAwNIJBJoaGjI+UyovNDmzZtz6gX5wq+JRAIA1FqBXWmX1cAfgiMF21JKBrIBmeRHTxShNA8fL5ZoLzf+3iKSF14ukbXWALKeUCaMDGMyD6/Fgd2UkrJovTFZ+kkmUE2PN60CSX60RccLtK67brc7J9rKH6dQFKVmh4rLwYYnKAqXy2WrkKu2xtPf379qYTUlKK1en12yRGYjKK1Rotk0Io1syoUsyxgbG1OVzanViJWZJyPhV720C5UiqsUU4XImiTfCwYLtcYPZJ8CYoKJpDlvqSw/nGiEqe9HBJPOsNUobGcYUHpuhQ1BFPmKrdSiGhAASA5jKbxhX+7vnOA4NDQ05N7v5eo+Li4tIpVI4cuQI/u///g/hcBgMwyAYDKKjo6PkMcr1ggKAo0eP4q/+6q8QjUbBsiyOHDlSFSft04ag7Erx5dur6y3OlcwplQLLspifn8fw8LCuXl+l+y4W5YiiiEAggKWlJfT19VkySiw3giKEYHp6GuPj4+ju7i4g4kqJj2VZdSGgA45aKaKYRi5HOxxLW4rXIkX4/PxYQccbIUBCNmpYIIaRlUwYRDIsmgzH8UoQlJRXhzIwMtSer0IIwiIHiZPUmwwztu5pxXpDBqtMQOEGSz9xHSBf71EQBEiShLPPPhsejwf/+7//i0gkghtuuAHBYBBbtmzB448/rpvZqMQLSpIkXH/99fi3f/s3nHPOOVhaWqpa1mHDE5Q2xVdJBJVKpTAyMoJ4PF7UXr3cOaVSoOoTExMTaGhoqIpen9Fir43Wenp6MDAwYHlhttokQWfHhoeH0dbWZigDRfdr5w2BkRQRTRHGYjHDFGFDQ0NVdRQFWcILixMF29OKAMkgSpKLto8ThFMeNHmMFv/i35mksEjKLtTzRW7+tKSFLJmliAsMy4MFASEKZEXOzm6Jp0hLNTJceWmGZCATGRxj/oaMVcY2DEHlg7aYsyyLs88+G9u3b8evfvUr/OY3vwGQFX42KjdU4gX1m9/8BmeffTbOOeccAKiqP9yGJyiKciMo2g0WiURMNR9YnVMqhXxZot7e3qoQoB60WoGVRmtWIqhwOIwTJ07A5/Ph3HPPLTo7RlN8qxHJ6KUIaa0gFovlpAi1Gm+CINgmvfTy8gyScmFqrJz0HgCAEKREHqLMwsXlfz/mzjkieYoTlB6YrHBsMy+BWRlwIiIBz/Oq8ovWMZlZaSWMCTE08g1gWc5UQwZD9B2FzaKWJbP0ZqC0SubFRAkq8YI6ceIEGIbBlVdeiYWFBVx33XX4f//v/9n1tnKw4QmKkonVDjVtV1xvby92795t6i7dTtNCPVmiYDCIWCxmy/6NoJ1l2rRpky0itmYIijZdyLKM3bt3m2o2WWvdPaNaQTqdRiwWQywWw9LSEjKZDMLhcIF9vFViPbQ4XriRlGgvz+9lI4V/RDNutNXlR1HmbiiikgddMLCBL/Y6xYXmfPUKZsUKXss+tP+CKEhICbAZtqgflBasMgEQCWDKW+qq2SBRKUoRVDWP+6c//QlHjhxBXV0d3vve9+L888/He9/7XtuPteEJisJsCkgURYyOjmJxcRE7duyw3BVnx7Cr1oIiv227GnJEWkiShBdffFFXq68SsCxrGMFmMhmMjIwgGo2WNbtVa3e52hRhe3s7/H4/kskkurq61AL3+Pi42k5M24hpmtAoOp5JRTGWCBVsL5bey6pHGOGUvl4048kjqFztvWKISp6i+nqGryslHEtBS1oMC4mV0FifrakY+UFxXJawsg68ChgyC8KUZwFf61Yb5brpVuIFtXXrVrzrXe9Suw6vuuoqvPLKKw5BlQOz5CJJEsbGxhAMBtHT04P9+/eXdedUSQRlRpaoWgQVjUZx4sQJCIKA888/33YxXT0i0VraW4lStVjrCMoKqH6eVsFdO7wZDAYxMjKSYwNBSWsmlcL9bxzGaDQGnmXR1uhBnSf7840bNkeUqD9pPreMxCMjsfDwNGoy/5kqhEFcdqPRorp5XNYM7Jo8XEpJqU1I+n5QWddpSZYhiCLkVBpTY79GNHN+ToOL2eh1PRGUlQiqEi+oK6+8Ev/4j/+I5P9n782jJDvPMs/fd5fYc8/aq1QqlaqkKu3lkmTLYNq0GrdtME03g4E2PWcOTE/D9HLwcBrO6ZlzfPofDIehe7oxMNAsDRijxgaDGFuWwMgWyFqsKklVkqqy9lwr99jufu/3zR837s2IjIjMiKwsWVb5PaeWjIy4cW/Evd9z3/d93uexbTKZDF/72tf42Z/92W09tiTe9QDVHElDvfnEDMOQyclJ5ubmtoWuvRWA6keWaLsByrZtJiYmCMOQI0eO8MYbb2yLaeD6aC7xrdfpu5HPfCPyxc1kU25XdBveTGwgllZX+a1TL/NmpcxUZKNEnEms1j1GB7LsGy1QD7vP97WV91qiFRVqXpas4XT83WZRCbJ9A1SEwJI6Jb338zki2ljZXAh0w0A3jFTJ5O4Rk7o6nmavy8vLbdlrtxm4dzpANQ/vVqvVt8ULamRkhE9+8pM8/PDDCCH4yEc+wkc/+tGbcoy3FEAl4JHJZFrs1fft27dtdO1+AKrZG6kbZX19bBdAdSurJRnJdi/sQgiiKEqzhPHx8W1hInbLoG7WcbwdkagImNksfzo9yZwm0Ip5NMtLCQSRlCyuWlRtCwY9dE0ghIZoqrOl4rAd36S9hFf1s4wXHfop76WvDXNA/73RamT0BVAQZ1E5rR9l80tkMxmyY2Mt11g36aFkBi4ZhH0n96CabybL5XLLsO9msVUvKIBPfOITfOITn+hzj/uPdz1ANS9Qpmni+z7Xr19namqKPXv2bDtduxeASggYq6urHD58uC9vJMMwbgiggiDg6tWrLC4udiyrJQC43RelbdvMzs7i+/629rY2A6hv11BK8XtnXuPcyhIAq74DCfUaSL4dJwzQHYN8MUJKiYzibFIIgRQhqU1t2+nV/tn4od4o8/XPdq1HJpES6KJPYItM9uLFP/R4L2ErmxF6H4wXqopQiyixs+XxbtlrMgNXr9dZWVnBtm0sy9qyZfzNivUlvmq1yuHDh7+Fe7T98a4HKFi7e/c8j1OnTrF3796bMkcEMYB4ntfxdwk43IgsUa+uveujeZbptttu69pj03V9WzXzLMtiYmICz/MYGRnh3nvv3bZtQ3eSxLdj5tQcX5u6xpmlBQACGWGFnctnkZIEtoaZhUwW9ISyrRSh9NP/J3i09rF0BpK6nyG7BadcpQTVMMOI2fnc7xaVRDiWnvEJW/YvWabJCSJt56bPWz8DVyqVqNfrHDhwILXVmJubo16vI6Vs6xVms9m37dzrBFDvJqFYuEUAanZ2litXriCE4OjRoz3JgGw1OpXg1oPDjfRc+i3xNSsx7NmzZ9NSpqZp21ZCbFZV1zSN2dnZG97u+kgyJSklvu+3ZGbfrhnUdK3KFy9MpD+XfbcjnEi1JgBrVQTGuCI5rRQy1RdqliFqLt+t36YAal6GsS22IKthrm+ACpWGo3QKIqJXiPKVT6ACTNH76IMmJ4j4rr72DdZ6UOtNDKG1V1ipVJiZmcHzvLdNceTd7gUFtwhAAZw8ebKFVnmzornEJ6VkenqaqampbZMl6vXurHnAdyMlhvVxo6KuCRtyYWGBO+64I5VDqlarN80Pan5+noWFhfSzz+VyuK7L4uIiw8PD7ygdvc1CKsVn3zhLpBqflWqU9zpEM7VcSoFTh+JgDDsd2XuJIF5j282fSAJbbthtaHfzqARZ2IIfZyUyyBt9EoukxbDe+2KsyYtsxRtkI5JEN8v4boojiTp5Aly9qJNvFN8BqHdJ7Nu3Dynl2+YJFQRBmrXt2rXrppUTu8XKygoXLlygWCz23e/ZKgmjGYz379/fVkLcbrsNiAeZ5+fnGR0d5eGHH05JEa7rcvbs2bT57boupmm2lGK2MiT7dsQ3ZqaZrlfTn+0owJedv49QtX6eni3IFRS6oZBd7ds7EyCal+2an2U0379BoB2ZBFLD1Pr7nquRyW69P529fgEKbISaQYn9fb1PFEV9A0k3UeJEcaSbOvnAwEBfXlDrwfM7APVtHqZp4rr9C072GkopyuUyi4uLZLNZHn744Ru+S+onarUaExMTaJrGPffcsyVfmH6BZL2Dbjcw3k7DwuQ4DcNgx44d7NmzB03T0t6faZqYpsH+ffvIN1hOiQp0rVZLPXcSodhmf6hvZePbDgKevDTR8li37ClSsl0wFrBrgsJw2J2Dt2HZM/5d3dsaQEGcRY1n+3ttpTEP1XMTihig+mVpxn2o/gFqO84JTdNSIEqiWZ08OS87Oe9203dcf/zVavVtUZJ4O+OWAKjkS7yZpoWJLFFyYt1999035X06hW3bqVni0aNHb+gk7SeDWl1dZWJiglKptGmmth0ZVELLt207Pc6JiQnm5uYIgiBlY01NTeF5PqJJvUIIwdDQEMPDw2hCgBCEYZg2vmdmZrCseNFbr+zwdvlDPXXlElbT+SmVohJ0vqHqphzhewLDj+jenun2HawBlx1kiKRA1/rv4ZWDLKOm3W56uAGOBI0+VD8GhoEKCFRARvR+A6jJN4j43p6fDzd3Dmq9OnnzezbT3y9fvkwURS3094GBgY5eUG9npebtiHfX0WwS2+0JBe2yRPl8nhdeeGFb32N9JNlIEAQt5n1jY2M33GvpBUjq9ToTE/Gdfq+Z2o0AVHNfK6HlK6UIw5ADBw6wvLzM6uoqFy9exHGcVGIocRdNACYhUyRLu1KKUrHIQKkEe/agNRiMnWZjmtlaAwMDZDKZbe1rrbouz021qpRXA3fNCLAl1AYKEQrX1sgPdfi96v3zr/tZhnL9VxuqUQ7RIGYkGZ5UiiRFEs2gFf8HgHJksrtPerslLTJaPwB1BZQFoneVlG/FoG4v9Pfr16/jOA6vvPIKp0+fplaroWkatm33pAJzI15QAJOTkxw/fpxPfepT/NzP/dy2Hfv6uCUA6mZkUBvJEt1s9pimaVy4cIGlpaUtSwR1i40yqObB4qNHj/ZFad2KZl4zA3H//v08+uijKcswKW9ks1ny+TwzMzOMjo5y6NAhpJRUq1VqtRqzs7O4rksmk2FwcDAFmWw226KaDRBJCUqRz+cpFovs2rUr3e9mttb09DS+76f9gwS08vn8lr+HZ65ebusprfqdASIu73X/zELXQJZCNH39s7q+qu2R2hYBypc6rjLIa2EKQrGUkWi8U2JmqFJSoQDKocFunXRsq5ewpNXXPBRINPkmUn+451e8U5Qk1tPfwzDk9ddf5/777ycMQ5599llWVlZ4/PHHcV2XI0eO8Lu/+7sdbx5vxAsqiU9+8pN8+MMfvunHfUsAVBLbQZLoR5Zou0NKyeTkJNVqlfHx8W1x0V0fnTKdxFZ+cXGxJ8uRXre7USwtLXHhwgVGR0d55JFHMAwDKSVhuOYX5DgOFy5cQCnF8ePHW+4c8/l8i92A53mpuvjCwgKO47QokSfECYgXzwSkk38zmQxjo6OMj42hNRasZJv1er1tm819rc1i2XF4fma65bEg6j771K28B2sA4FsGucGmc111U4foDFqWn9mSACzE9ht5vV2lPP6ns5lhRZpEUqFU/LpunlDNUZf1vvtQevRGXwD1TlUzTxh8hmHw6KOPcvz4cZ599ln+7u/+jiiKUpJUp7gRLyghBF/84hc5dOjQtut1dopbAqC2w7RwK7JEW3ofy+XlL7/KXQ/fyc6DsWyJUorZ2VmuXr3K7t27GRsbY/fu3emFszxfZXWxxp337tto02mEYcTiUo09u9vBtTmDklIyNTXF1NQUO3fv3bKALvROkqjVapw/fx7TNHnwwQfJ5XIpMCXbCcMw9ehKdMI2i6TW3ywFEwRBClrNdOBSqcTg4GDai2qetaIhM6SkRNc0RkZGGB0dTT+XMAxT0Eq2GYYhuq63gFdzr+CZq5fXaOWN6EaOUEq1ZVprv1t7PHB1sqWANaPa/piZSgksP8NAtv+h3UqQY3fW6u3JDTNDqcAmw7Ap03ktqRRSSVSk1p4rBJqIZZ0iImxlU+yjZKfJt0AFbNCka4m3y3ut3+ikZJ6UBHVd37AHfiNeULlcjl/6pV/imWee4Vd+5Ve285A6xjvvk7+JsZU+yFZlibaiA7c8u8p/+/nP4toez3/xZX74536Agb0FLl26xMjISMoKPHPmTAoiX/6Tl3jlubgf9N5/eIwP/uBD6Hp3EDl1+hpPP/MGjuNz4sRBPvyP7yNjrp0GmqalclCXL19m3hK8NeNSP3OOxx+O+MBDhzG6bD+MJH/56jnOzy1i6Do/fPIeDu0YSbe7vsR3bnmJv5+aZMV1OLFjJ+O2g+e43HXXXQwODrYA07xb5/mFq0wtLZC3PD50572c7ODsq5Ri1l3mkj2LVJJd2RGOlvZ3dGF1RZ1afh4va1PckeVg5igFMUi9XqdaqzK3MEF9cgYlqmRzelz6y+9gsHiAvLEfWAPd5rLo4OAgQ4ODaaZ1/fp1KpUKmqa1KJYXCgVUNsvXr15B6NrasfQ4+7Q+Wlh9ShC4BplCuEHvaeOSa93Pbg2gtmi/UZEmw3jpvJaWXD9J6Y9GH1FJkCFKwUKwwE5tB3ojm+jkCdUaHpo8j9R7UzS5GbJf2xHfqhmoT33qU/zsz/7slhjCW4lbCqD6iRuRJUoGRvtlf339T7+Ba8dU6VrF4jd+/vf4n/6vj/Lgex5scZVNspzJi/MpOAG88DdvYWYNvuejD3Tc/tJSnS99+XWCIF7kTp26hm35/NiPPpo+x3Ecpqen2blzJ4M7D/KXX3k1ZSZ/5YUJ5lfq/Nj3PdS27TCS/Pe/P83r09fTx/7zM8/zifc9yMOHWjM7pRR/c/UKf3b+TaRU2LbNK5cvcXTnLn7hAx8k2zi+BNC+NHOeJ6+epW5bZLMZ8vk8V+bf5H8bLHCwNAxIFJJFb4X/b/4Uc16rZ1JRz/P9u97HkdJ+lJJcc85xwTrFSjC/tk+ESOVQ1DUOZrMUB1bQSy5D8Q7HUllRiOWFzNohMjQx5WFKxkmGC/cxUBpoJWM0Mi2AKIoFivc0FEw0TYsp4bbNF956A9f3CMMQJWNhUk9TeNFaKbPlc+4GUB36e4GtY+YDRAfmnuhBDLbuZ1Gq1u9sK1IJqmGW4T5VJcpRhoN0eU3qCSVSOSeASERktCxRGHXxhIoNDZtBRo++2RdAvRN6UOujUwbVK3v3RrygXnzxRT7/+c/z7//9v6dcLqNpGrlcjn/9r//19hzYurglAKqfTGY7ZIm2AlBLMyucee4tojCknpSaikXKFyzy39U6nq/rOr4f8PSffrNtOy/+zVu857uPUhpsfY2Uij//i1MpOCVx7vwcExeus2d3kYmJCYIgYMeOHey97RD/6XNfb1v3Xp2Y5f4je7jnUKtc1JOvnmsBpyT+x0tnODA6yO6hNRLJCzPTfOHcmziuE7PucnmGh0dYDAL+26uv8C8fOIHRuBP+w/Mv8fTkOXRdb2Ql8XdRDz1+7fyL/Mxd7+PwwBivVy/xpfkXCaQXD6kqiSJEEbEql/nD6c9z38AwGe06taiKIkKpEIWPVC6y0ftwQljyYMw0uTOfw2hQ0tcsHJKjUMhoBi+8xvXgr5m5+hB+9QCZTC4lYxSBHduCAAAgAElEQVSLRRYXF1lYWODIkSNNgNUooWqC16tliqkidZyRLVurLSVFAKHFkCKV7KiG0Em1XEYakS8wMq3P7DUiqeGEJgWz/75tJcj1DVB1aRAogdmH4KynPJSuyJlNIw6JJ1QY4gc+kRMiG6rkcZb1CnbwA+QLoz2tDe9EFZIbyaBuxAvqueeeS5/zqU99ilKpdNPACW4RgGqOhAW2/q5oO2WJtuIJ9dXPPUe1UiWKorhH0QC3V77yOu//J49QGlmrsxuGwcRr01yfbndX9b2Q5750hg//6CMtj587P8f09Erb86WU/PHnvs6H/tFtHDt2N1EUsbS0xN++cgnX63wMf/7sWQ7tGaWQi1e+2XKNr09c7fhcP4r4vb87zc996P0AXK/X+INXX2G1WiOTMRtzSVpaunlzaYknL13gw7fdzh+8+hx/V7/e6Nm0fxeeDPnNiRf4vv37eLHyOgBC6PEddtOaEqmASrDA3ywtcCDvsy9nIZXX3YoCWA4CbBlxdz5PoeN5INB0nayuQ9aF0jcYu22SYf0jBNYw8/PznDt3Dk3TyOfzLC0t4XleCxnj76cmccOU9A4oIiS2DJvKtAIabENXBg3h17X9FkI0XtmZABHYBkYmTH/uN+pedksAVQ5zHKTS12sUsBKa7DL7KyvWZI0xrakn3HxD0bRxKSVhFBKGHkuLT3N95TCGYbTMFt0s3bztjhsBqBvxgnq745YAqPWWG0nTGuJyzNzc3LbKEvVjieH7PufPTfDSM6fIZrOx8kTT/gZByN9/8SU+9L98MH1M13XOne6uK3j6+Qs8+r13M7pzbY7im9+82vIcpeLSmu/7FItFpBpjeHiY1dVVqpbLN9/sLuxaszz+9pWLfPT9x1FK8WevvNFlXieO65Uaz1+cRIQhn37mK1QDn8GhQXRNX+spEDfLlZI8+eZZVmYnOWVWGRoa7LpdgFlnhd+6MMl9OwprPYv0GMGRdarBMhERQmSYdjMUjDH25gyk8pDKIVIuUjlI3JY+mRNJzlg2xwsFBjoA5PpwoxlmvN/ALu8hpz3OY489Rjab7UjGCJXir67P4CiFoRsYpo4mBGXPXdera5TnhEIK2Xo3n/Zl5NoPLR+BIvR1ZEQHynlvUfOz7FD1vst8TmTgRjq5Pr2eVqNM3wBVjaqMGZuQlgRoukZGz5DJZDhcWuK2O38s1c2r1+tMT0+3DWuHYUgQBG/bsHavsd4Lqh+zQrgxL6gkEpbfzYxbAqCaI5mFymQyqZhqouW2XbJEvVhiNFvMa5bJQHGgq5DlK195ne/5+GPkCvH9YOBFTF5YJJvtrNwgI8UrX5/gH/3wSQBWVupcuryQ/t5xHFzXJZ/Pp7NML718hfe99040TeP0xQXCaGMyyYtvTPK9J49wZWmVC/PLGz5XRpL/8fff5MiYQd3QGcwNtgMTKt0vM5flyfoS+3duLKtdDiyW/PgufbLmc/tger+MLz2q4TKebJ/luVj3KOo6Q2YeTeSbLgLVAC0XSQxckXJ5w7Y5VsgztMGNi1ISy7IJw5DSyCwZ8/PUVQ1T/QNM02yxeldK8fsvnWZy3sFxgoYpniKf16kWAqS2RrNOaHiBDNJZolY9PdUwH2zZm5afQtcgU9zaeEUQ6fiRTtboX5+xHObYrffI5mvMP5VDs2+Cha1sfOX3qSpxCSHnMM09HXXzkmHtMAw5c+ZMi5FhwsT8VooQd8qgbrvttm/JvtzMuGUAKqEKG4bB8vIyZ8+eZWBgYFvN85LYqMTXTN1OLOa/8rt/u6HKchCETLx8ifu/J55TuHZ+iWgTADn78hW+9588hG7ovHLqGhDP7di2TTabZXh4uOXiKpdtLlycZ8eOPGevLpMvDHTbdLwtP+LFNyY5u7rY9Tlplub55AsFvr5YYee+scaQpkqByfPj/cpkMgwNDzFlV6h5HiXLYKSU7bjtamCz2ESGmK557MgZGEZAPSzjbuAZJIE3aw7vGS6QaSnnCDSRQxM5ILkbVSjlc8ULeChzBwWtjhdNE6p6cpA4rovrOhQKBUqlIiCQKmDR/Ssq/gvsyH+MknE/QgjqrsdnX3idJ9+cwI+iFsal5Uh8R6ENC4SpUEkWLiBoFn8VDfcklVi6CzYq3wWuiVkI+s6Ckqj5ObJGj0DTFKv90M0bESGoRgbDfaqbV6Mq40bvbrIAevQcofYjbY8nGo3FYpGZmRlOnDjRpuQwNzeH67ppiTABrberRHgrKJnDLQRQEDNdlpaWsCyL+++/vyVF3s7oBFDrS4nvfe97MQwDpRQT37y86TbPPPdWClCX3ri+qSqDVfe49OYsR+7bz0svXaRcLmMYRhswNcc3X7nKoeM78EPZk2vC0y9NUC9FLTbj8cGC4zq4jksun2N4ZJgF22a56pMbiHtPhmmAUliWjaZrDA0OoWkaZd+h2tCfm1+1KeUFSih0oaMREyfqocu8t5L2XpSSSCV5fWWBA0NOTwuxJxXnai73DW6m/iAQIgtkOWut8N2j/5T9xf2EqsLCyhtMXT9NYchmx2idULX3XHy5xIz1u+SNQxjycX73a0tcW63gRe0LsC8jlAK5ojBHdbScjgICGUI6HtTUg0omXVvs/rqQJQIdI7M1n6+al2W80D9AVcMsoRIYPZIekiNYjjJ9A1QlqmwBoF4mND4CojNlurlXvV7JIYnmEmHzLF2xWGyx1tjuEmEns8LvANS3cbz55ps4jsOuXbsYHBy8aeAErZJKSqlUSHZ4eLitlLg4tUx5sdptU2lcfu0aVsVGM3Vmryxvokodx4vPvsnl2assLVcYGBjYlPRx4cI8C9H6Hkj3uLq4SjbKMDiyBme+52NZFplshuGRGAzDSLJkW2iageeDbkTYFRupJLqmN1iJPugac041VRsIQkXdVgyXMoQqwFMOtdBmya83yoOt1ICaL6h6OkO53hbilSBixg3Yn++tNBSqkOdW/oyT+Q+zcsVC1wd44MhPpiMAkbRwo2ncaAovmsGNpgjkIgpYtq7xxPNPUrGGWLAKrJdGkE0DuEpBsBJh7tARpiBQUWr1nqCvUgqZ0scbjrkbAEHgmhgZmTwb0j3Y/Lv2QgM/0sj06RGllKAc5BjP9KpuHu/RcpjhjozdV8bnKhdXuuS0fqohAXr0PJHxfR1/2wvFvJu1Ric9x1wu1wJaN1Ii/E4G9S6Lo0ePous6U1NT2y4Yuz4Mw8BxHMrlMhMTE+RyOR58sHWWKYnLr13raZtSKt78xgQDu0cBsSGIyCjCsi3OvFzm4d0nWkQnN4ogjHjz7AxaafNFK4giqo5HbjVicCRPGIbU63V0TWdoaAhNj5l5SiqWHCslUZRXHQzdSA3bEtHXMAyZrq3iRnGDXAiB0DSur9oMFU1MLYMbRlSDkIzIokRT9oREqQiJYr6eYSDr9NzDuGx5DJs6pR5IEEpJKlaZp1c/yz/Y/8Mc2XFfy+91rUhRu4uieVf6mFQudX+Kz3zjNDW7ihu61Pw6cTnRRGAghN7m+aQUBMsRYpw24Gll7TXKe5tkKaFnoKQH2tqr1v+v9R1ao+7lGC30b7W+GuR7AqhmCb5AaVS2UOZbjVbZo+3p6zVG+CyR/t0g2q/Nrc5AJSXCgYEB9uyJ96e5RJjYxiclwq247zYTvSAGqHeb3TvcQgCVyWSIogjTNNM0/GZFYlhYrVY5duxYi5Ds+pg6N9Pzds8+d47d990RywZ1ACilJLZl4wc+xUKRTDbDmZcmEQO93VVW6i6W5VIsbF6OKNtOLKJa91lZLqPppBI+CTBBLGy65DhEkUTKCE3TMTPFNIsUQsTfCRGepjA1M16AE2q1FzA9vwo5H0t4KXAJIdAQkNLKzXTh9v0iOwohvvIIpUfU1WIi7ke9VXM5MVxA73o3Gy8ujuM2hGSzvBr+NXknx/78kQ0/J03k+OuzAQuVAbL6AAtWFV1zQUUoJIqASPr4EtaW6EZuE0FYjuJ2WDN5T8WDycm+9RQKAs/AzIctr+p8xO2P1vzslgCqHGxNVWIp3FqZb5exC0300wOyMcK/JjR/oO032zmku1mJsJPc1kZ+UFLKln37TonvXRI3w3IjCcdxuHjxIrVaLfVI2iiUUkyd707nXh+T52aohg0pl2aAUgrbcfBcl3whz0hpBBD4fsj1+Sp77utNo69iuYR+ROhufIErFCuWQxRFse2HC7v2DjcyGtVyO3y9WsP3Y28mwzARAsqrLqXiGvkhkBFz9lqZU9AYDRACqQmW/JBiKUJDR0mFjOQaA7BJm01oMWjNW4IDpWEGdQ2lICIkkD6B8gikR6C8FrsKK5JctjyOlNqBPAgCLKuOaWYYHh5CNBY/qSTPr/4lD0T/gKPFE11LNa9NXee5C3GW7EcRFc9tlOp0BDpgEqgICFmDDdl4DwUuKEdCXqWf/UbzWxtF6Jpk8mvnfjf5WGiHKCfIEERmkxW8YuMtxBEpjUqQZdh0E23zntTKl6MMh1V/Zb6IiEpUYcToL5PQo68TGh8A0arE8HaoSHQqEUZRlLrvdrN8kVK2yKklN9/vtnjnT6Rtc9wM00Lf9zl37hyvvvoqu3bt4r777uvpxK4u1ait9p7NhX7I1LnplJGY3NmvrsZstuGREXK5PMkKUK97uBWHKNi8J+MHEZ4fL15erTuAKxTLlRq266XZj1MLYsBI1isRlyBWymWWbLshOaOni41t+/h+1NgeTNmVNrFUicKXAU7k4QcRoQeaEOi6hmHoZEwT0zTjz1kIpJKEQYAfBLh+wMWlOr4fU7gNYZDXCwwaI4xldrM7e5Dd2YOMmbsZNEbJa0XmPcVS02CylBHVahXHcRgYiIVjxbo7cwW8Wn2Wb1aeJpTtszt11+NPX34j/XnJbs9AFHG5NI6E7KABGipZ0ms6yI0GcnuLKNCQYWtxb/2f5v1a/6fmZ9Y9WyMWykv+aB22BMtBXD5TKgZdKeMMO8mSOx1SqDRWo/4X3JVoZQt2NwFm8MW2R79VMkeJqPDevXs5evQoJ06c4OGHH+bw4cMUi0Wq1Sqe5/Hyyy/zi7/4i/z0T/80UkrOnDnT09r21FNPcdddd3HnnXfy6U9/uu33nufx8Y9/nDvvvJNHH32Uq1evAvDMM8/wnve8h/vuu4/3vOc9fPWrX93uQ2+LWyaD2g5F8/URhiHXrl3j+vXr3H777alen+u6Pb1HP9kTgG15WJ7D0L5xIilZXS1jmgZDw8Md69ZWQ9fPXrEY2LVxH6pqr80LebWgg9itwvN9bMui7LXKOIWBxKn7FAaycYO4biGlxNE0dENfW+TUWhawWK4xPl5g2XOohx6ouGgllSRiLUNKwrEEmVzrwtOcaQGg6+n7LHqSHbaHyRoZI7EnMEyjQc4okGONLFMPdT44cj/zS1dYsKYZGykRGJv3Ty7bZ1nyZ3l0+MOMZtYkoL7wyltYfgxcoZSsuu0zWYGMe2frY62EK+KEqq6hBiNiENh47mmjCFyTbKn7IGz3IidU3SwjOWftmWky1FyabN+31aCIooamyVgDUDUBraJx/KqlKCAQzAdZRvs0MXSViyUtSnp/YqaaPI0WPYjU13Qs30k6fEIICoUChUKB8fFxVlZWOHnyJAcPHuSFF17gxRdf5Jd/+Zd56623MAyDr371qx3tMG7EC2p8fJwnn3ySvXv3cvbsWT70oQ8xM9N7i2IrccsAVBLbkUElskiTk5Ps37+/Ta+vV6mj6T4Byql7WBWHyuoqUkaMjIx2vYCkVDhOvBBZy/XNAcpa002TocSr++QGGoPBYYBVr6PpOvlSCc9ul1iqlV3QInzfp1AoIAyD6dV4gDddvsTaQubUQsqDLvNOjYiGrcIGC20YCAJfYW5CuGsGrflQ497xUnznLmNttiAMcF2HSK4DLcPACVy+cO5FPrH3cb7nju+Pld2lSzlYZDVYoBzMsxLMUwtX2va0Gq7w10uf5XDxAe4deIyJ2RqvTs2lv1927LbjU8Rlv/ZYX8ZTYAvIA2bzJ9p81MkW179DawSuQabo9z0TJQA3NAml0SjzqcbNAKzZyDeDVvIqQaQEq8EQoxk/3ichiSeeJAiJQCIbEoNpkVMplgMD25BkNYUmtLXzZ5N9XwwXKWrFvhlyZvCneNodIOKe8TsJoJqjmSCxa9cuHn/8cT7zmc/wR3/0R0BsDdRttvNGvKAeemhNJPqee+7BcRw8zyOb7TyruB1xywBUs6vuVjMopVRqQ7Fz5850lml9bORK2xz9ZFAyiqiW6wRBhAgUekbf8OJxbD+92t2yg4xkKrS6PprLe0nUVx3MooFVryOVolQawDB05qv1tmVPyojycp3S6EjcqBUwXattWGrxg4j5soWZM0hyMUWcQckGYCX/T4/JEpiZ3rOFVTdk1Q0ZyRmpH1NyMalEmy0M8f3YeBABnm7wdOUUP9gQfc3n8+zMHmBnds0/J5Q+5XCJ1WCecrDAajBPJVxGKslF6zUuVt/g+Rd3IlURQ8RGfMtOeybWLXuK0s9NNf0NWk1HjkRdFuhOtIf2jEZJbnAmKsNowYVkGGDtL1pBq6neK2DZzzQASiMpDaqmV0XSRxgaIBFECCFBCVZkgX16nAUruVYOFJpo9B/baInYyt5SFgV1zOD3CcyfBmF8W3lBNSuZbyQ8cCNeUM1eal/4whc4ceLETQUnuIUAKomtWo8vLy9z4cIFhoaGOHny5IZfTC93boEfMn+luwpD+t5SYtk2nuMhZVyidFctMrs2vviS8l68DYWzalMc7/ya5vJe+thSDa0UNdHB47vaVWvtuUpKwihC0wSGbqACDQS4YUjZ7V4aC6XEiQJEXZDJrYGsAHShxWYKDf+mFtDyJXoEkd5MKNg4LpVdTuwqtun0JT96nodSkuHhYQxDJ5KSmXCFr628xt3zu7FtG9M0GRwcZGBgIJ2hG8/sZTyzN91epEIqwRKrwQJfOnORFXuFQK6S0bJYnkkooxZ2WbfsSTbp6rUdoS/iP9l12VVKSul03rVnW4GbwUiymR6IDs1R9bINgOoU3UFrNTBxgwgd1eqUS+K5ZJK0xNO9EZLrYY69mQK65gAeycRy3L+SRHLNliXdriZYCBe2lEVp8hJG+AVC40eIouimL8BbiW/1DNQbb7zBz//8z/P000/f9Pe6ZQBqqwNxlUqFiYkJstksDzzwwLYN+C5MLqX2Cx1DqSbNvAKYGpoWL/r1pSojOzd2EbWsVqsDa9nqDlDN5b0oVjNQkSKfWZtVUkDN8Qgb7KEkQzQNI13t6xWX0nCOuXq98yERqyUkKgrKU6hQIYzu38160MoEWfYNFvBliCsDPOnHf6KgY4nQCSUzdZ8DA2sLTSzB5KTlyGx2rW6oaxp6JsMF5tm7aw/fPfY+fN9PxV4vXbqEbdtpIzsBrmKxyGhmN75T4tq1OcYzeUDhRT6z7gqRigiThRRBIBXRujKeUmoDQnwcWl1DZqJ47ikBpj7P7dDTUUqsUwBJspONQcsNDbxQI2v0OrQrGnmcoCKL7Mp6QGwlEp9D8UEoJYki1oGXjqt0lqISY6bR2CUPIVyEcNFwAReImkArZnnWwhoz7gzD2lBssdEo4/ayDujRN4AsUXTvO7bEt15F4u3wgkqe/0M/9EP8wR/8AYcPH96Go9k4bhmAWh+bOd7W63UuXLiAlDJ1eN3OmL3Y7p3U2DFc18NxbHK5XEw/FYLF1XL6lMDxCJ3uje4gCNt8n5xVq+MxJ+W9eMEI0bSYxq5pGvaqQ7a4RoZYqsdiqImm4fpt2XWfZcvGCtr3LZQST4ZN5as4IlthDPa+wJbrHjuH82QNk6xuQoPkoBT4MsCTAa708WTQAC3JZNVnR94kq2v4vodl2+SyuYbsU/f3+tryq0il+MDY/YyNjaUXKbTaxV+7do16vY4QgqcnV7AcNzXLq7ghAh1TazLZU5JQNTKYJsJAT0t+IOJEIkffwJSGEgSuTqbQfI6IDllYZ9Cqejl2GP3PRC36WXZlvca5Fs/xrPVuG+Aim3ywBAihMeW6DGv5xqKcQ6lcC8kCfITw1oFWgEWdHfoOVKTwPR/btlFKoSe+UA3Q6kQw0qNnGcnNILSP932cNztuxKzwRrygyuUyH/3oR/n0pz/N+9///m09pm5xSwJU0iPqVF92XZeLFy9iWRZHjhxJFaj7DSFi87luU+Fzl+ZbH1AK3/exLBuz4ZMkml7rrMuI3LINe1XHRcqy2gFChhKv5pJbZ2S4WrUIgiCmjBtmStmOIkl9xWZ4bwmhaZSrNaq201hURMqWa6Y+KwnTCxUoaqkgbKQUoZQdey0AkSXRB9qdY7uFUrBUcdk71prJCgFZPQatwSbQClSIF/lUahr7cfFMyfDQMFqPk6PPrbzGclDlB3a9D1NbO1/WK5QDvDY5x8LEQjzA7Dj4Ycic46BEkhnEjX4vigVeRQoKcc9tPc27w9GDamRRWdnTPFG3iO3gN+tDdQatqldgZzEEIVFESdNp07BCnaqnKBp0mNmJz4H1CYtSEktKlmyHfIPZqesJsUVvWLxnUSqLomkgXkVIXObFTvbm7yDLDEItglJECWEmCHAdNx0gNww9BS5d0xnInsYwXFD/K4jtvUG9kfhWeUH92q/9GhcvXuQ//sf/mFpzPP300+zcuXP7D7IRYpN+zNaHLt6B4XnxIn/q1CmOHz/e0kwMgoDLly+zvLzM4cOH2blz5w1J6b/88ss88MADXS08/t//4w+4fjXuQYVBgGVZaJpGoVhsN1OMJJffnG35MvRihjvfd0/bbA7A7Owq9Xq7m+nQgRFGD8ZZQBRFWJbF7LKFpIkh1XQnq5Ri8EAezRSs+hFOFAOu6NjvUFhBQGQqonGdSEmk6m1qxxzV0PO9j+QJAXftH8Y0Nn+NlArLsoiiiP/56MM8fvAYq0GNOW+F6+4Kc94y190VXLmx++t4Zpjv3/U+9ud3dPx9GEX80pf/jqX6WmZx3aqzaNtNMz+SQEp8JdO1v11RsDnWHldpn6lxXMMR5G7s8iyMuujm1rZx+7BLMdM8tBs1FC5ihQzWjQkkc3u7sj6Hiv1nXyOGwfFioVFeDlN5rDAMY9DWdUwzJsMYuhE7EDeyvx2ZH2fAOAHKQ6hZTDGLxiyanEZjPgYzJdPtRWFIJCVSSkzTxDCGCYwfxCy8H+0dUPKbnJzENM1URum3fuu3yOfz/MzP/My3eM9uKDoutrdUBtVsuREEAblcjiiKuHbtGnNzcxw8eJCjR49ui8dLwhbsBFCBH7I4uRyDRN1CKUmxWExddNeHa/ttS5hfdYjCCMNcNzyqFJbdufznrNio20ZTo0Izk0MJvU00NL7Tj6WJpAdD40PML6zEC2oUpTM6qYqDpuE1Hhc+ZJWOMIwGwSHODiKluoJWZCn0XuTT02OExQ5Z1PrnJDTYQiFPJlPiy0uXuX/XbezKDzKaGeSegdvTz6wSWsy5y8x5K8y5y1x3l3GaQGvJL/P7U0/x0NAR3j96L8Nmaz/v6xPXWsApiCKWbSduEWkx3VoqjVD5qRKITOjkzR+IaP6PSLOT5hsIAM3SUFmJ6sMefX0EroG+BbdcgLJrUMwk55kADEQzxVwoQCJlSCRDNC0GqOUgywHl9KxwnsRqGFIJQ4YMA8MwMYyma6XREw2jkMAPcCInlQIyDIO54HNkivsoZPei1GECdUcMmDqgQjTm0ZhF12fJZmfQ1QzgU61UyWQySFlHuP+dlZWnWKg+ijCOplp7pVLpbe9TJaoSSVQqFfbu3bvBK75945YCqCRM08T3faamppicnLxhi/dOsRGdfebSHJVKhSAIKZaKmxolri/vQbyoOuU6AztaZV0cJ0h18Nq2U7VZXlimNFRiZGSEhdU661fHuFkdNo7BRDqKJcsBIdK7x4Rfl1C1vSAgSAgfAqJ6iDYY38XqQqALvYVKrhpglYJWD2SJ9bFS89gxlGvLopSKlT1i36tEnijeri9DfvvCi/zcPd9DTl879YUQDJslhs0SxwYOpp9vNbS57i0z566k/56uTPBa5SJ3D9zG/YOHOVTYTd0NePqNSy37MW9ZLZmRAtxGT0yq5qypeVVv+i4aQL6WrKaMiPhVgUAEQHaN89c8CN1LhK6OKm3NJ6rqGeyWPl0mF0BBGMm4/6YnLtExaJWDPHtynV2MN4orrscDRb39BrLZ4r3J411GkiAMCUKH84u/QrTwg2SMkRZwyefzKHUbUh0gTM5hpRAsMrn8HHceypLR5sirWQYG6uzd+VW88Dyr1gPMze2jXneRUlIoFFq2u13mp53iW83iezvjlgKopC/kui5nz55lz549PPLIIzdFw6qT7XuSrT335RcwTZNSqdRTo9vtkhFZy7U2gLLtdjCLGowpXdPIKJNcLhdnDfUmyriCKIoJEM3Na9f2sSsSYa5fiQRCQKgUISplhCkFypHIUoSK1tF/E708IdDWgdZAlKUwaOJEAU4U4kTBhguXUor5ssP+8TU2YxhGWFYdTdMYGhzsOPd13a3xh5dP8ZN3PtxGPW85OiEYMosMmUXuKq05ldZCOy0NnipP8PTCy1yZiJi3Q0yhozyB64UsWxaYAvQ4i/RkGDMgu75j/Jk208YT/lvTQbc+tS5QGZU+t3nh7gW0lBSEno7Zoz1Jc0gVZ1FjhfabMNnQaNR1vaWP2uBkct0zuK0w0vj8212MpXJRqn2frChiMQjZmenleo1vqLLJ7FsRsuPfZJf5L7HrklqtxsLCAo7jpIzMBFxM0+TixTJheIxAP0bYyHgFVXRm0fQZdmam2T3yOlLbTyjup+7upV73WF5e5urVqzfVgfc7APUujeXlZc6fPw/AwYMHuf3222/aezVnUEopZmZmuHbtGnv37mXIHCGbm9tkC42QKh66XRcCsFfafaTqzZRxpYjCsEGAiFl3ieyR5fiEDUq5lHE5LwYmneZysB9GsYrBUOtiHymJG4ZtqupCAB+E5pkAACAASURBVCHoSkOYWpwxyaSv1R207JrP7h0DDGcaum3EGY8TBl1Ba7XmMTaYJWvo2LZFGIYUiyVMc+PT+rXVWf74ymn++aGH+l4wBowCA6UCR0r7Abi2XOaX5r+Ot+iytFqP2YrBGoFcZiEcgHDTK62p1NeyT6Ljf0GBD8qTkGm8NPGMShUdNgetwN4aQAGsOgaj+TDdXdW4ERKa1rVcDeBKxZIfsjNrAt1djCPlImlkWspFqpCrnsuIoWNuwbXWi+a4rn6d/aM/zfj4ofTxRFG8Wq0yMTFBtVpNXacXFxebbDBGkWqEUB5rVF8VQtlocpaBzFkGxnLsHi8itF1IduF6a0rls7OzeJ6X3pgmgFgoFPo+B28Vs0K4xQDK933uu+8+yuXytgvGro+kz7W4uMjFixcZHR1Ns7Wnrz7X83Zc1++cSQhwaw6hH2A07iiDIML34iwojGJ2VUIHT1Sw3bKDkoqK5aazKFpDaRxolJ/iYUipFEEkwQ5Rg0ajNKdiBYRNyjLKloghraUH0zyIuR60QmB+YZXh4XwqPZTVDLIZg+Emf19vHWjNLtQZyUsKxSLFYqnnctULS5MIBB+//QGMLVp0R1LyG196gZmLZZRUGBhIFaE1+itKAZ7EcEEUIRiguwpEaz2vh4ifpzk6KrdGB4//kWt4l4JW8v91oBXqGFJD6LJRfoz/7aXo5kUadqBRNCOiKEr7u718Cddsnx2ZbnNJsYuxIbJAQp9WKEKkcrgeDnB3YRBfzhLIdtmtjcKXi0zW/hN7Cj+R+naZZlxVuHr1KsVikQcffBBN01JwmZ+fp1arpaW8wcHB1DFX1wdRaoCgWfg29EHNkTFMxkYzjI2Oo2n7QGTTmbp6vc7S0hK2baf+UQlwFTsQpZrjOwD1Lo29e/cSRRH1eh2ng/TMdobv+0xPTzM8PNxiVpgQJHoNpwNlPI74wraXawzuianO9bpD2MhqjEaZbr09g5SSylKVlZoFiIYFhli3VYFE4fpBTGpwI3zPR/axjktLIgY7z5p1Ay3HVgwPxVT/qJF96o15IsNsBa1CoGN7FmamyI8fe5CRUp4pu8ykVWbKKuPJzeWsvrF0jUXP4ifvfJgBsz/FgCCM+L//9DnePL82LiCVarFyV40+nQAMC7QQwhFQokmZPHnCVks/rkCEqnElr3PdhbQsGC+eqiNo+bZOcXBNMijZt/VmkJ3KhMuWTqbkxVJSfQC9FUnmvZDduV7L6wKBiS5MVkKItO/icOk4oayn7sXJv77cWKElVDWmrV9nJPtBxrL/mOmpeebm5jh69GjL2MDQ0FDLfJGUMrXBWFlZ4dq1awRBQD6fbwEY08wD+xqViRi4RCSBOprQGR4qMTI8gKbtB6GnZp/1ep2ZmRksK55ZLBaLLSXCpBWxfkTm3Vziu6Vo5mEYEkURKysrzM/Pc+zYsW1/D9u2mZiYwLIsRkdH295j5sIc/+0X/rjLq9tj9uoSVq1dWkY2ZmlGDuxgz/GDOI7D9EyZMFLoWkpjaHlN3GeKEENZguF8R4p645m4QRhnT40QYxkoGUgUkYwzKdlg5XULfYeJyPWXnezdO0iplE33PwrXRF6jML5LlyqmuxcKBTKZDAOZLP/n+7+bgUyis6dYcC2m7BisJq0yU3YFN+qcNQ8YWf7pbfdycmx/T+UWLwj5nSdf4plXL7WogViBHwO6ihW6O11bMgPhqEA13kY0+jDJzXfvFIemyCsY7u1VbaBFjGdDO2LJqrT02uF1zaAlVYSUsS7gkTGHzBZudXOa4JGRdhmqXkIXBt879vEW9fgkpHJxoxm8aBo3mo5BK5pnvU5HGIZYVcWA+EccPfBRDKN/YkPilFutVtPBbdd14/OyjYyRVA3WyBig0vm4ZEA+PoZ4PCLJtmq1GlEUkc/nqVQq3H333eRyOQqFAh/4wAd49dVXt6W/9S2Mjjt/SwFUFMWLXa1W4+rVq9x3332bv6jH8H2fixcvUq1WOXLkCFEUUalUOHKk1XH15ade5Uu//Te9bVQpLr81RxS1awzIBgHDyGYYv/8AmWyW2bl6o7Sz7mtrAJNsECA8pdAOdjd188Iw7j01R15H29UuQhkDhmow8lpBSxQ09LH+CCi5nMmBA0NtF5tSEtt2CAK/4XnFGmihuHdkjH9+1zGGhoYapRd93esVi56VZlhTVoUpu4zTBFq3F0d5fM+d3D+yp+ui6QUhv/fkyzx/bpJys0VJGOI3Sp+blT9lBsIxsUnW1Cdo7ZQJvbLvUEBhQJLNRQ2AbVDZk4VTWwMtRXwuKSnRDQME7CgI9g9GHc0gN4s7i1n257fGeCvoJf7h+I9T0Ls7VichVYAXzeJFMzjhJPMrb+CGM5QG4pJyRhtjJPtBBjMn0TvYv/cbnuelgFWr1VrksZIyXmKHkZgPNkfyeYsm9mwyAH769Gl2797N5z73OT7/+c/jui4/8RM/wYkTJ3jooYc4fPhwV4GAp556in/37/4dURTxUz/1U/zCL/xC237/i3/xL3jllVcYGxvjiSeeSHv1v/iLv8jv/M7voOs6/+W//Bc+9KEP3fDn1HzIHR+8FQHKcRzeeuutTR1ve93m1atXuX79OocOHWLPnj0IIbpmaX/5ma9w+qtne9q2Z/tMXlro+r6y0T+647vuI0AwN1due56MYkHNhJkXhhLXDzFuH0Vk1q9oCj+M8NaDUyPEgQJC3/wuLQEtiaJwoICrwi62Ep1j//4hCoW1RSu2W3fI5/MdlZqTTOv79uzjWC5PvV5HSkmpVGJwcDDVy+sEWksN0Jq0KjFw2WUyms79I3s4NrSTQ6XRtPwXRpI//PIrnLoww7XlSvrubhThdSCMbBRRQRAN93vH26oW3vJuRQWDW79cNV0xPK7WCA/En0/cK2zKlFVcno0VHOJFVBOCh3cXyTRYk5FKwMpPQStUnUuuuoCHh4vkuvLVN44BY5gPjn2cfI/K5SsrK0xMTLB37172799LoBYa2dYUbjSNLxcoGEcZMB+iaNyNJraP4dts716tVlN5rOYyXkzG0NJsq3l9VkqhaRqnTp3i5MmT6fMee+wxfvmXf5nTp09z+vRpfv/3fz9mCK+LKIo4evRoixfU5z73uRarjV//9V/n9ddf5zd/8zf5kz/5E/78z/+cJ554gjfffJMf+7Ef46WXXmJ2dpbHH3+ciYmJ7RzN+c6g7naaFkopmZmZYXJykn379nX0hOpkuTF3eb7tsW5hd5l/SrIGoWnohoG9XMNZx5qSUjUIEKKFRp9kRsryEZm1O0WpFF4Qrs2CdNyhEAY2v2CFaMw/AcMqw+DoEJFUMbkhbJAcgpBAdgat5WWbfD7+jizLwjQb0k9dMg6BwDAMnl1a4N73PMIjx48jpUyZWbOzs11Ba0euxI5cifeM7U8/3yXPYsqqcLm+wtfmr1D2HXKawcyZCgtTdVYqDmGk4lKXjEue/YZuK1QGZKEfkBJN7aom5Q9A2QJKEqVtDaRkJAg8RSaXvFPjetEFSmmoRm9N17W4hBmtmUoKIbiyYnFoKBdLBXUwg4yUjIFKevgN4ApVQKTgouVx7+DWspZaWOZvl5/gA6P/jJLRvQ8TBAETExP4vs8DDzyQ9oSz7CWr7wUeBuLvP5BLuNE0q97fook8uiiR1feQ0XbdUBmtm717NzJGc19L1+Ne1eXLlykUCkRRlL5WCMFHPvIRPvKRj2z4/jfiBfUXf/EX/OiP/ijZbJZDhw5x55138tJLL/G+971vy59HL3FLAVQSyZe9lVBKpcy88fHxrnNUnQZ1Ay9gYXKp5/dymuWKGtPyCQEiZsLFC0R9qYw3GDdzlYwZfELEFhiImJmnCQjCeEEFkJaPGM7FwqWRbOk3dT12K0L0AFDNUV1xGBjJoWuCUiZDqWmAsRto2bbPwuIq+ZzRMfPpFlIpfvu1U/zvJ05yaHgkBaL0932C1omxWOVZKcWTL77JlYUVHCckukFwSsKoKAITlHkjvQORju8ajok+qMXD1jTKrWzcJ2wOx251LVbEpeRISgzd6KBfuOZgPO9G7Mi6aDIeXUhUHJI/uqbFpTOt+aZIplmWxjglw+1oBrlZ1MIyf730Wd478v3szh5s+Z1Sivn5ea5cucKhQ4fYtWtjkBFCkNF3kNF3tGwjVBXcaBJNZBHCRMNAE4UbzrB0Xe+JjOG6Lr7vMzw8jOM4TE5O4nke/+bf/JueVcVvxAtqZmaG9773vS2vvdluunCLAtRW74LK5TITExPk83lOnDixoTFYJxCcvTSfAsSmIRVOY+g2LufFg4+pcoKKF0cZBPjzZYx8MS36xNTytU0JBVGkYtXypEFueTiOFyNXr+HGlPBeynxJeG6I54TkCu0X8nrQUkpRtyzqnkdJFTl5+ADTtWpHq/Ru4QQB//WVl/jph05yZHSs5Xeapm0JtCYXbb5xahItEkSBIm+YRFJiywA9pfDT1kfYNBQYZUUwztZZfE0RWRK9FDfaNaDZU6sVtFSa/TRH6K+5FkulCMMQTdMwTbMr+T3NtBCsRCZ3jgykZJzYDDJW9ZBKpjp5ppkIsmpkRY6sluOKDT952z9jyMh1NYPcKDzp8vXlz3O0dJJ7Bx7DECaO43Du3DkymQwnT57c8kC+EAJTDGNqrRmaVC6RChGpCSMI9A3IR72FpmmUSiVKpRI7d+7k4sWLABw/fpwgCPjsZz/L5z//ea5du8bRo0c5evQoTzzxBB//+DtPef1G45YCqK0Ck2VZTExMIKXk2LFjDAxs3pTtlEHNTPQ4nEvsiBuGEVEYoekaZsv0fNwrMDMmsbeRj7JsjGI+bmI3hnPj5nYs7ho0SnvNzX8jVMiCGWvlyc2b+0DPZb7mqCzb5Aob2wF4roft2ORzefaMlkDA8dI4/+rESWq+x2S1ymSlwmS1wlS1siFoeWHEf33lJX7gzqM8fvsdG37vm4HW2fNXeOLZ8zhBxLzlIYnVM/xGeVKkig+gEGsgJegJtEQAeg2ibRDLVjLWNTQGWo83BpFOoKWIkC2g5VgCoQUoSIe7e43rts++gQx5Q2sog+tAs4NxA7SCgNB2YtDS4kzLMwyemPoqP3X7Rzc0g1wNY+AqB4ttZAwFnK9/kxnnArucowTXTe46eteWHQk2i3i4uDWUilAqZE2WqjG4sYW1Z3V1lfPnz7Nv375UI/SNN97gr/7qr/jYxz7Gf/gP/4FKpcLp06e5fPnyptu7ES+oXl57M+KWAqj1sZknlOd5XLp0iWq12jYjsVlomrZGJ23E9IXeACrwAxbnl1FSxqoI64RCE0kcGUWEDeq18AKM4YH0aUmDNYrCRglvjVKcXjRWQGYwT6qulzDypGz82w5aWynzWVWPMIgwzPZSXRiE1K06pmEyPDTcYqL35TMXuHffLkaLee4Z38E942tll6rnMVlNAKvKtWqZirtWEo2k4osT5zmzuMAPHb2bQ8PdWYvrIwEtI5Pjj5+9SHFgkIXFVaQQuGFI1BiEBZpbQfGPQqwTgkhUtemaael1hcyBymxDFlWX6MX1ZoTtkTLE0EHEpTopJaETMjxYwMhpDTPIYNPsJQml4GLZ5d6xfNt1JURcVdAT6SES0FpTEb+yMs3/s/jHfNC8h6HBobTkms/nGc3sbqGUSxVRDVdYDeZZDRYa2dYCbuAwXb7GvDnLvjtup5YfZlgNoYm3R9BVdHif9WSH+Hndv58wDLl48SK2baf9siAI+NVf/VWeeuopfuM3fiMleO3cubNnNt2NeEF97GMf48d//Mf55Cc/yezsLBcuXOCRRx7p6X1vJG4pgGo+KRKiRKe0PwxDrl69yvz8PIcPH+bYsWN93wG106QV0+dnN3xN1CAFKECGsQBm49XJVoH4oo4zK4FSsTpAZDUNHouEpiqQKjYLTPYnsT0ARVT3UGHQsNCIMy1daC0Dl4l6hJSNLMuTqFAierC6WNtG3IsabbKpl1JiWRZSSgZKA+hG+4XtBiF//MLr/Mz3PtJG+x7MZrl3x07u3bHmRVNxXSZrVaaqFa5VKkzVKlxaXeVXXvwGx8bHeWzfAe7bubPFPLBbRFLyuWdeZaVqc225zIrjEqZZk0iBKVl8xNoDTT2UZlLDWqbVCbSMMgQ71A2X+pRsmECWet9OKomlaWTMDL5nsmeolBwOoWq4F0d+6mLcDbTKbsiSE7KjQ0l3fcSgpaHrmdTV2AOuFSy+O3Mb9Xqdubk5HMdpmSsaHBykUCgwbO5g2NzBIeKS4uUrl7henmHHoSFcs8ZqMM+pyt/wWvVrHMwf42D+OEPG+Ns+L9TP+yUsw/3793PXXXchhODMmTP823/7b/nwhz/Mc889t2Uh2hvxgrrnnnv4kR/5EY4fP45hGHzmM595W1TcbymaOcTzSkopTp8+zV133dVi4S6lZHp6msnJSQ4cOMCBAwe6zhP0Es8//zyPPfYYAJXFKv/5X/12x+epxmIda8kVQQmuTiRsv1QDp0GAiMt3uq6DAtvx02+pcNdtaE0LfRBEeMHG9G5t7wDkjThTUvECqTXr5HW4uAZ2F8mM5XD9ECcIcPxN2H+Apv//7L15fJx1vfb/vmfPZLJvTZMmbZq1Ld2StMhmFdEDaEWpUJcDCsjBRyygInBEQY8H4YEHxcNyUBRUHhEOz1E4leWnaEXQNgHKUtom6ZJmm+yZfbu33x/33HdmksnWJm2hc71evKBkmrlnJvle9+fzuT7XJVBRW4DJJGhhftEYzkznrH7ZPr66jnNXVM34uFTwRiJGpdXl8zEQDFDkzGRZbi6LXVkUZDjJttmwmLTXGpZEfNEo21/dx2vvdjPkDxGOTl7wVXW9t97iEyZ8TfuvyZWW4faQ4mKzzahZpvhemWJI9ecKwQS2EvOMVdTEnabEm4Dli7Nx2lPfv2qkJRNVYgZxRRXRaLnZzCbWl2Rinct8cwIaXEvZvOgMIyRStwjSF2L1vaLs7GxMJhODg4OUlZVRWVmZbOWkqgRlH554pSWqMZzmLHKtxRTZyjALJ8c9uiRJtLe3E41GaWhowOFwEIvFuOeee3jppZd46KGHWLt27Ym+zIVEWmaeiESpuaqqDA4OcvDgQYqKijj99NNTpu0eDfQ2Yk+q+VN88S4SieB0Oo3dhbFhP4knmyEtV1UslnGH6JgoJd1CyIEQptwsZFklJkqzU5iFJMwuR1KEhqoqqIqKrEpo865xshIEgfBohPzSbLKMbAPNsy8iSoTFcdJKdFlQZJWRfh9Wp4rDocWtz9Z27g9vt1PgymBtRens/kICchwOTnM4OK24RLtSVcWb0B78e283R7xeArFxS6ngUIThgz7N2zA2geD1RWg1uZJKhJBARgmFlfENjCJ2Imn5ZSxOc9w5XvtE9CXouZDWVLOoRBg+jGYz5hQiiP7REMsWZaW2qhLAKpixmjJwxX0SVVXbf9IrrLGglWU5FoLK0VmK7Qt0EugNc3HpObgsGdhsNgoKCigoGBe+hEIh2traCIVCZGZm0t/fz+DgoFFl6TJtlyUHlyWH8oza+LWqhJUAQ7FezJixmGyYBQtOkwuLaeFiMqbCyMgI7e3tVFZWGnuUb731Ftdddx2f+MQnePnllxckceG9gFOWoHQz17GxMdrb28nMzJxRmTdXmM1mI3bgyLvjA0ZUlWg0SigUwuFwJO1FqKpK0BdBm7JrMyRFUTFb4lHrqrbjpCgKsZiU0CqCiCdAzG5n+qI4GWowiqpmGkosQYj30U2kIC0tw0mSREYGRnHmZGCNy4itZjNWs5ksRzJphUWRYCSGLxgiMBahorgo5Sxq2mtE5f/ufJtMu42akoKZ/8I0EASBXIeDXIeD1Qmk5Ylqldabh928+OZ+ZFGZRE6GGaggMFeh1qxISwZpJIZQqLnK64GQ45WNTlpMCoGcSFpTzaIMI2EwjIRTIRiR8IdFsp2zO7AFASyCGZfJjAsHigwbs9dxWn5RPJ5kPFPLLwVn9T27wwP89Mj/sHnRmVRnjg/k9RvKQ4cOsXTpUhYtWmS8Dt3Xzufz0dXVZewJJbYHXS4XTnPWJAeKqBJGkoNxQYkJAQGzYDlmVd5U0HezRFFk3bp1OBwOotEod999Nzt27OCRRx5h9erVC/Lc7xWccgSlp+qqqkp7ezt2u52VK1em3Lw+VuhSc7PZzKF3ugAQYzGCwSAWiyVp+VRvtUqiTDgU0/ZPZAWz2YTVNh6BIcQdcmIxJe5MjeGvpoaiRvtotiSligpEJMiY6g4tNWkpITDnmYjGYgRDIa26M3ZfrFgsZswmAUEScQoKRYsKsZjNrF9STk1VEV2jXnpGfXSPeYmIM++kSYrCT//6GpduWEXT0vlVDwmCQJ4jA0GEZ9/dg0U2YcWMxWrSCFmRkWQFEHQ18Tw9r/Ff46QVA8KgZCioCYuwiVWsSdBsiLRf3ilIS1GRAyqWbF1hmJzTNJvWtXs0jCvDelReeQD/deRtSp1nUuMqN+JJAIJShP7oCP3RUdzxbC2vGEj5PUJyhN/2vkSDaynnFTVik83s378fq9VKY2PjpBax/nuVaJ6qL7T6fD56e3sJBAKGGateaWVlZWG3TF4WVlSZ8Wyq8TiTY51j6buUiQS7e/durr/+ej71qU/x17/+9ZStmhJxys2gAoEA7e3tDA8Ps2jRIurq6hbsud58803Nly+icM8VDxIIBhEgyU4/8f0XBIGBvlFGBnyY9DlTil8ESZKJRlIf6hnLSjE7HfEqK67Ei6vypvqoTXkZmIvmRtCCAOWnlSSIG7Q7c0mSkESRWCyGoqhYrBbsNhsWq9VY2Nx2yZmU5GcZr3/IH6J71Ev3mJfuES89Y75prZHOrq3kgtNqccyQ+zQXhCIx7n3yb7zV6R6f2yVUG7q1jy4aMUhATe3yfUwwCZhLrQgmYYLlkDolaaU8LwUoXuIiLMfwRUJIAiimyUaw06E4N4OSvKP3pnNZ7HxzxTkUOjKnfVxIjjIQHcUdGU8wHhP9xtdVFcRojNJQFhdUnUllcfk0321m6KsEiXMtRVGMGA2duFKRxFRn5mxISxRF2trakGWZ+vp67HY70WiUO++8k1deeYWHH36YVatWHdNre48i5Zt3yhGUXjXJskwsFmPZsmUL9lx79uxh0aJF/H17C3/51d+TwvQmEpPemhjs8YM69R2aIiuEI+KUn4y1MAd7SWo5/DhhxaXk8RmVYDFhXpY/57vC3MVZ5C5KbJOoxOIVld1uJ8PhQFYUJFFElCQjQqO8OJt//uhqw9h14t28oqoM+gJalTXmo3vUS++YHzGBtHIyHFywuob1lYuPOs9Jx1ggxL89/hcO9Iy7fMhzqDZ0g9j5JC0h04w5fwqRArMjLYCMDIGcHC0kz2w2I6mKlqWVkKklTWE5pX1PqCnLwT7HtmwiCu2ZXFd/Fnn2uRFdRI7RHx3lsKeXd3raCNpEpAwBs2Ci1rWE9Tk1LHUuwjRPLTjdwUEnLJ/PZwiXEkkrlbBnNjJyfc6d6Gjx+uuvc8MNN7Blyxa++c1vztvs+z2INEHBeOTG0NAQHo9nktv4fEGWZVpbW4nFYnS+7ObwG9oMaiIxyYpCKBjUBtZYGeiZbPiqYyZyAjA5bDiXz7IFpmLsOzkq85BsZmIzqP4SYbaaKF9ZgmASkGSJYCCIySTEDS9TH2iasavEOaeVUVXsSJoR6AuzumFmIiRFYdAX1Cqt+D99Hj9Om5XmZWWsKiuhsmCyC/pUkBSFw0Nj7DzYzfN/20/Ar+1QqYqCJMva7EcERFXrn2lDFrCbZiWxTyQtfZ9srqRlLrYi2Gd3+E4kLW0HT/NrLCtzkel0TDlzmom0nHYLVaWpBROzRb7Nybb6M2espBKhKAqHDh1idHSU+vp6srOziSoiA9Ex3BGtRRiQQhTZcqnOLKPSWYJ5nvedtEX4UFKlFYvFyMjIMAgrOzvb2O1KhVgsRltbG6qqUl9fj81mIxKJ8MMf/pCdO3fy8MMPJ/nhnaJIExSME9TY2Bhut3vefzBUVcXtdnP48GFsNhvl5eU88d1n8I8E4ne72uMEAUKhMLFY1Mg16jsyQigw2SAWVdUUZaI8q0/EWbsE0xzbX1mLsimsLkaRVSIxiUhMU+JFoiKiNLWEvKAiG8EBkizhysw0knlngtkscPVFp1NRkossy8YBoLs8Jzo86KQ18YCUFAW3xx8nLB9D/iA2i5nCLCcFmU5cdpvRBpQUhUAkxmgoTN+YjyMjXoLRGAPdXkL+mNbOkySIqZiDCmp4mvfabkLItoLTPKdD2yCtuNhES6+dGoJVwFRinfNzaE4iJsxmMyoqDruZggIbsiInzAqthk/etKQli0QkiYIcO66sYzv8XRY7V1Y3U5NdOONjdReF0tLSGdc9REViIDrGSMyHzWQhw2zHabZTaMuZt+oqERMzoHw+H9FoFIfDkVRpORwOQ8xRVVVFSYkmynnttde44YYb2Lp1KzfccMOpXDUlIk1QMO4RFggEOHTo0LyqZEZGRujo6CAnJ4fly5fT29vLaI+H/7n3T0mPi0SjhIJaG8xut6MoEApEGOwZGxdNoN1BKrKq2RTN4ZOwLcrHVjC9tdBEmCxmKjYsTbk7I8taum4kKhGO/1uKizgECyxuKIyrH+d2h52daeerW84gO3OyclLP7dJJKxgMGnsv+j9Op3PS4SrKMr1jfnrGvIYQo98bmFS9yLLCQJeXcFDU2nkRCbNPgejsXBMAsJkQCmwI9qM/uGciLVOuBdMsiEGzuJJRVQVzCmPX0tJssrLsWgVrzAolJFmaFWkJAly5dh12m4mukIeeoJeuoIfRWGhOr1dA4JNLVvDhRdUpxReiKNLR0UEkEqGhocFwHZ8rREXCJwUxC2ZMmDALJqwmMzbTwggP1LgyVyctr9eL1+vFZDKRl5dHa2sra9eu5Xe/+x2vv/46Dz/8MPX19QtyLVdccQXbt2+nuLiYPXsmR/uoqyisigAAIABJREFUqsp1113Hc889h9Pp5LHHHpuX6KFjRJqgYJygIpEI7777Lo2Njcf8PQOBAG1tbZjNZmpra8nIyEBRFDweD0/d93va/nbIODRisRg2mw2n02ncFaqqSs+hIUKB2Lhjgz4jOopPwJzpIGPp3HeGiusXkVk4s1hCjIn4/AFUwYQqmFlSV0zMAqFI6sTa6VCYm8mVm5vJdc18EImiaBCWz+cjFAphtVrJyckxSMvhcEw6XKOSRN+Y35hpdfQN8+5eN+FQDFmUMPkUhODsW5sTIeRYIXdulc50MHafFAVZUDGVWFGn4Shjp8lkmnK732w2sXRpHuYUuUvTkZbZYsEaJy6X3caNG8+gyDnepguIUbpDXiMIcraktTQzn88uW0NZgkfjwMBASun4fEFWZSRVwTSuxdOW3uexykp0T1++fDk5OTm43W7uuusuWlpajEDTxsZGtmzZsiBxFS+//DIul4vLLrssJUE999xz/Md//AfPPfccu3bt4rrrrpvkan4CkF7UhfHhpdVqRRTnfqAmIhqNcuDAAQKBALW1teTm5hqHhaqqWs98QCYrK4tAIIAsq8b+ldfr1e5WrVaiQZFIOIbJrKVnGh+KmqDEkzXiUmexfCuHIqiSjJDCPmg6+Pt90xKULMkEg0FNlp2bgyl+2NnDKjd85UMEIjF6Br30DnnpHfTSM+QlOnHRdQKGPUEe/t1OLr+giUUF05vwWq3WScuasVjMICzdFsdutydVWna7nWVFeSwrymPPwX7a3uqj0GwiZDIT8khIMRVZEOYUOJgI1SsixBTUIvuM7g2zgbH7FL+ByYzayC1zEZEkI5okImmL0JIka+Mxi3ValyRZVhgaCrJo0eT3WECLZrGYLbq3axJpRaNRgqEgHlXlB3/6/7hmxWmU5OdrO0VWOw05xTTkjFtOBaWYQVZdQQ/dIS8j0eTdp87gKHfu2cHphRV8uHApg4e7MJvNKaXj8wWzYJ40o1Ljc8L4FuD4e3IU5BiNRtm/fz8Wi8VwTw+Hw/zsZz+js7OT3//+99TV1TEyMsLu3bsX7HWec845dHZ2Tvn1Z555hssuuwxBEDj99NPxeDy43W5KS+d+U7vQOOUISkcqM9fZIjFFd/ny5cYcSycmQdAiDzr3dtFzqBdZlsnMzEySrKrxmUc4FKG/ZxRF1mxzDJuhuPWORlqANcHQNYGwFEVhki2aCpI/iDVvbhbZYU8IMRzDOiGCW1W0QbEoitrrsCW3Sbz+MC2thznrzBrys52sri41rnXYG6RnQCOtnkEvfcO+STMtjz/CA0//nY+dXssZpy1NkTs0NWw2G4WFhRQWjs819FaLvvcSiURQBAuvH/LQ1j2KJEqoQYHYkIgFExbreCWb1G6brcM7aDOr/giUOOYURzIbBP0xXEGJ3BwHuRC3uAoRCEcwOTMR0WJGwvHKZyr4fBFcLjsu18wH41SkFZFlnug8xKejUcSDB42f7cTZS6bVRn1OMfVTkFZ3SEsvHooE+XN3G893vMUHSqu4YOmq4777IwgC5gk373ONTVFVlf7+fjo7O6mpqTF+Fv/xj39w4403ctlll3HPPfcY1W1BQQEf+chH5ucFHAVS5UL19vamCepkgH5ndDR3SKqq0tfXR2dnp5GiKwhCvB03LvVVFIWuri5e/O1fsFptuFy2FD19AZNgwjMYxmy2YDajVUzxJWIlbm1kkJZp3GrIbBa0Bd6E61Lkcem4IitIvtCcCQq0Kip/WfywV5Pj1jMzM6ccM/3tlQ5WrlhMXt54+0cQBIpyXRTlulhXpykLZUVhcCygVViDXnqHfLhHfEiywh9e3U/r3m7Oba5hZVVJkmntXGC32ykqKqKoqIhQJMbLbx7izy1teH1+BFXA3xcmFhJT7BLFk4AnmeWOhxPqM6OUiCmo/REosc/JTHc2GHYHyMi0oara/o7NbqM4P3/S5xE1qiwpJWkNDPhxOPKwHMX16aQ1Iku86Pdw7fpmnFYrwWAQn89nyKhlWcbpdCaFQE4krUAgwJt73yWUZ0bNz6In4uOXB1/HYjLTXFDOuvzFFDvmf3l+Vq8zxdkwVfJBJBJh37592O12o2oKhUJ8//vf55133uHJJ59cMKXwqYBTjqCOFrpfVl5eHhs2bMBisRjtPBj/odbvpPJzCvAeDuFwpJafxqISfUeGERNbYIm2NvFOhO56odsMEVc8GxWWfrBaBMwkHqwKi4qyiEkqkUiMaDTZG28q+Af85FbmG+08I259hqomJkr87ve7ufyyM1LOOXSYTSZKC7IpLcimqUG7i5Nkmf4RPz1x0vrL6wf5w9/3cdryUuoqiqhclIdtDns4UVHicO8ob3b08XZHHx6fD5PJhMPsZOSIF1USsFqtkyycJvoO6u+tJe6ioWMiaclqQpyCGCepRY55JSlZlOntHCanyE5W9tQpw3aLBbvFgu6joKoQk8dbgyFRYnAgQOniY5ONd3m93L3r71yzvolF8XC9xYsXx59TnZK0srKyCAaDBINBVjc0JOVwAYQkke6Qh7fH3IiKQpbVTqHdyfKsglm50C8UUqUT9PX10dXVRW1tLQUFBaiqyquvvsq3vvUtrrjiCn70ox8dF8fvueJEZTsdDU5pgtKrnekkrH6/n/b2dsxms5HNomfY6FAVleHhEdraO8gvyKWxsZHXX3gbMYVoQBJlxoYDeEeDs2ol6Hf2mEwYng36vouiIOqkZRKMx+oHqxIMU1g23vqKxSSiEU2FF4mIRKPipGpAEWWGDg+SUeic9iBMhe7eUf72SgebPjg3dw6L2Ux5cS7lxeP2NFFRon/YT/eghzc7+oiJMmaTQG5WBtlOO3abBavFjKJoKsdAOMqoL0z/iN+oyELBEKIYw5mZSWg4yoh7LPGdncJ3cHyPaPakpWpWQ4mtwcEYaol9Xtp9iqIpJpWQGTP2OX0mgpBIWppaUlVhQ0EZyxbnc8Trodvvo8fnm9GRfiKGQiHu2fUPPrdiFesXjbeHBEEwEmETSau/v58DBw4YQpa9e/dOqrScVit12UXUZY9nf4Ukke6gF7MgYDdbsAgmnBYbzlmuNMw39KrJ4XDQ3NyMxWIhGAxy++23s3//fp5++ulZx7CfCGzevJn777+frVu3smvXLnJyck7K9h6cgio+0GYUoO0jrF69OuWwMhqN0tHRQTAYpK6ujpycHG3eEz/AdDIIBoMcOHAAVVWprq5GlU0EvGF+8a3/i3fYTywmosha2y0aEYlFZ/adOxroVZaScDfvyHZS3lhteONN7AepqkosppFVJCISCISJRiVsGTaWbFh61FEjn9q8jtWrl8z8wDkiHBXpG/LRE59n9Q56GfNPdMtWicZihIIhHBkOrCYrw50eIoFYyu85MxJJa6JrgwnBpFe9E4lIxZJhJasyi4gkx53exdk5zOvfwdhpEuKWUtpMckl1/pwNd1Phnz+whvWVGoFIikJ/MGCkFnf5vPT4/bOqugE2LC7j4roGXCl+lyRJoqOjg3A4TH19vRFxk1hp6SsFqdqDqeZSEVlCVGTMgkkTlQAWk/mofQNnA1VV6e3tpaenxwgwVVWVV155hZtuuokvf/nLfOUrXzmmiJ75wGc/+1l27NjB8PAwJSUlfO973zMEYddccw2qqnLttdfywgsv4HQ6efTRR2lqajqh10xaZj4OPRNK98rLzByfm+hhhYODgyxfvpziYq1nniiAEAQBURQ5dOgQXq/XCPfSsWv7G/zxl38F4iQQlYiGNaVeJBwjFhaPwxurVVlljdVgM2s2Q4KgOY/H1YP6nXg0GiEUCpPhcGCz24lFJeo2VpFR5KKvz8PIaGojz6lgEgS2XNxEQ/3C35UFwlF6h3z0DHo53DvE/oM9RCQVp9NJeCzKaI9XE6DMK1SjilWSrIbiVZZJt6oSyMi2U1yVH2+RqsRkWVuAjhNWJCbFK7Xk769ZLakpd5IyMq2ULs09phYdgMVk4l82NVNdnNoaS1IU3IFAQnLx9KSVYbVy4fJqzlpSYbTj9BZfYpTEdEhFWrrd0EyklVgBCkJcRs7RzZsnIhwOs2/fPpxOJzU1NZjNZgKBALfddhsdHR387Gc/W1DbtFMAaYLSoRPUu+++S1lZGbm5ucbd0ZEjRygvL2fJkiUpBRCqqtLd3U1fX1/KfY0R9xg/+8bjSNM4dCuKSjQiEg3HiIRiRMMisdjCVFb5S0soqtb6y5pyUBzfd5EkFFXBbDKTkZGB1WrFFCetrJwMrrntE1itFiIRkT63h74+j/bvXg/eSZVLMkyCwLkfbuADpy+f932WiZAkiYMHD+Lz+aitrcUbkPnds2/ScWBAc8WIzq1yOTokVlnJpOXKd1CwNE8jmxSVVjShwgqEowSjUUyCyfgsUiG/OJO84tnbBk0Fh8XC1R9sYllR3swPRiOBvoCfLq+Xbr+PI14PfYFAEmnlOhx8sGwJeX4/DouVurq6Y5JUz1Rp6QrC2Rq7zuXnUVVVenp66O3tpa6ujry8PFRV5W9/+xs333wz11xzDVdfffUJr5reB0gTlA5RFFEUhba2NmOnpqOjg/z8fKqqqgwBRCIxgXY3ePjwYUpKSqioqJg0C5Almce/9zTd+6ePdk8FWVaMKksjLhFJOvrlUR0Wu5Wqs1Yl/VIqikwwGEJRFJxO5zhxiZqQwmwyYbFaOONjK/nIRU0pD5dAIEKf20tv75hBXqHw5DZabc0izv/YKnJznZO+dqxIlPdWVFSQn1/EP3YeZOeuQ5r7hvFAECXZIKtw3MrpKLcM5nKFWoWlqDgL7TjytGBAi8WKxao5NljMWutOVmSCcV9CZ2YmkqIawY9hUSIqSpPmhaVLc3HOQjI+E+wWC1ed0zhlJTUTREWmz++n2+ej0+thn7uPI6Mj5GRlc/bSZWxYXMaynGOv+BKhk1ai20hipTUdac0WoVCIffv24XK5qK6uxmw24/f7+c53vkNnZyc//elPWbp06by9plMcaYLSoRPUvn37GB0dxeVyUVNTYwggEolJEAQ8Hg8dHR24XC6qqqpSGkNKosR/3/sH2l87NG/XKYlyvC0oEg1p7UHlKCqBsrXLcRXmoKpqPG49ijMzc8q7WkWWESUJRZXZtKUOZ7YlqcWSnZ09yT9MVVU83jB9fR56+8bo6/PgdnuJiRIWs5nmpqU0Ny8jb56Iyu/309bWhsvloqSknDff6qH1tU7CkVnOmlSIiXKS52AkIQByIVBYmUtmvgNJkscr2XjkuqqqOBwZOBy6CGLCvBCVqCiNpxbHRERVYXFVXjwv7NhgMZmOOWsrGAyyb98+srKyqFi6lMFImCM+L11eLyFJpNiZycrCIpbl5h2zA30qzBdpJXZJ6uvrjQ7Ljh07+Nd//Ve++tWvctVVV6WrpvlFmqB06Mq8sbExiouLqa2tNQQQuqpPEATC4TAdHR3IskxNTc2UoYaj/R6ee/hPdO7pTvn1+YKqqogxOanKikbEGdWAzrwsildVGAm+GRmz980rW1rAF64/j0gkjNfrNX7xFUXB5XIZNkMpYzMUlZGRAL19WoXl7vfgzLBRVVVE9fJi8vMnG8DOBFEUOXjwIKOjXqy2Ag4fHqO9Y2DWw/xpoWrqwUTPwag4f6QlCFBcXUBGlnaDI0oiwUAAq9WG1WpFkrW2qyzJCCbBSCu2WKxx6f5k0sp02jhrQxWDgRDdY176PQHkSZvbs8emumVcuLomXtnNDoqi0NnZyfDwsCEoSgVRlunx+xgKhXBYLDgsFrJsdhalMAKeL+hu5IkWWRMjNBJJSyfZnJwcqqqqMJvN+Hw+br31Vnp7e3n44YepqKhYkGs9xZEmKB0HDhzAZrMhyzLhcJjKysqkRbxIOMKhA4cYGR6lfPESsrOyycrLxO7UDhZVVYmFY/S0u2lvPcjul/agyAveL0oJVVGJRkWtPRifZ0WjYtLXJVmidO0y8ksKEY7iru+Mj65g0yfWJv0/PfDN5/Ph9XonxWbk5OSkdCCXZYWBQR99fR683rA2s0ElLzeT7GwHmU47jgwrFrOmkJMlLdre749w6HAPHR09KIodr2+yRH4hoKoQTWwNRsXxQMOjgMksUFyTj6jEUGTFyGmaCEVVjPBHzYFfwWQSktqD2kKxwPKyfL748SYsZvOszXKnQ1luNp8/fTWludNbTwF4PB7a2tooLi6msrJyzlWFKMuMRsJxM1cTJpOAw2zBuoD7QxNJy+/3Gyo3URRZsmQJLpeLwsJC/vznP3Prrbeybds2vvSlLy1Y1fTCCy9w3XXXIcsyV111FTfffHPS17u6urj88svxeDzIssydd97JBRdcsCDXcoKQJigdkqTdqXo8Ht5++23y8/ON8LyxsTH6+vqoqKhg8eLFCIJALBKj/9Agg13DDBwZpntfL8O9oyf6ZUwJRVEIB2N4PX6iYRFVEXDmZ7N4ddVRf88LP7eRNR+YfrdDluWkO1XdgTzRzDUjI2MSacViEv39XqPS6nN7GB0b926TRIlgMIjFYtEczOfB7+5YoCgq0ZhEOKrNsiIxaZY5Wtq6gWpSKa0rxOnKYC4O8Nr+nUZYoiShyAomswmrxULD0mIuu6AZp3Oy6e5Es9zuUS+DvuC0pGUWTJxdW8nHVi3HkUoxJ0kcOHCAYDBIQ0ODIR2fD4iyjKyq2s4ZGA4fC1VlBQIB9u7di8vlIjc3l8OHD3PjjTcyMjKCJEl88Ytf5Nxzz6WpqSkpSn6+IMsytbW1/PGPf6S8vJzm5maeeOKJpCigq6++mnXr1vGVr3yFvXv3csEFF0zrt/ceRNosVsevf/1rsrOzaWxsZOPGjfj9ft555x2jved0OgmFQgwNDRkO2RUryqlYMR4zHfAEcR8coPdAP30d/fQd6CcSTJHldJyhZ9XEpCgFxdnYbJrNkiwr/NOW9QRDIu4jI7iPjBBMlT01BZ5/sgWb3ULD+sopH2M2m8nLyyMvb1wRpjuQe71e+vv7k8xcdeKy2+1UVBRQUTFuAhsKxejqHmb37jbcbi9ZWQWEp4i5P94wmQQyHFYyHFZAIwQ9R0tvDUZiyTlaqqobuwpYMDPWFcBe68Bsmf2hazKZsNns2Gz6DFRrSYuSxN7OQe7/7UucUZePK9OZNC+022yGWa6OiCjSM6ZlafWMatXWcGDchVxWFXa0Hab1cC+b6pdyVk2lka01NDTEgQMHqKiooK6ubt6Jw2o2M5ESlXj7XRCSdZDH8tyKonDkyBEGBwdpiLta6OpeRVH43ve+xwc+8AF2797N888/T29vL5dffvlRP99UaGlpobq6mqoq7QZy69atPPPMM0kEJQgCPp8PAK/XayxAv99xSlZQ27dvZ8eOHbS2ttLX14csy1RVVXHTTTexbt06o++sH6zRaJSMjAxycnKMQzWVSGC032OQVd+BfvoPDyHPgxJvNtCWbmOE9Lj1FJVKwwdqufjrFxqP940G6TsyQt+REdxdo/R3j864SPyhzWs4/SMrjulg0MPe9Pc3FoslLWdmZ2fT399PT08PVVVVFBcXIwgCfn8kQYThpc/tmb0o4gRAlhXCURGvP0g4IqJgIlHjYs+0UlJdYLjCzweqlxRw8QcbiIbHW1ip3t9UQoFQTKRnVKuwuse01OLRoLZO4LBaaFyyiCI1Ql6Gnbq6umlTZI8HJqZTzwV61VRQUMCyZcswmUx4PB5uueUWRkdH+c///M/jZv/z9NNP88ILL/DII48A2g30rl27uP/++43HuN1uPvrRjzI2NkYwGORPf/rTvEQFnURIt/gSEYvFuPLKKxkcHOSqq65ibGyM1tZW3nzzTQDWrl1LY2MjTU1N1NbWEovFkkQCsiwnzVtcLtek/rQsyQx0DtF3cEAjrY7+BWkNSpIUj8EwkZnpnNYK5wu3XczSVamHvIqiMDLg0wgrTloDvWOTFl2Xryjlo59pIq9w5hnFbKCrC71eL0NDQwwPDxvVWG5uriHCmPi6VFVlbCxEn9sTl7t7cbs9iJKMFJOIBaKIYREpIiLHZE2dqYJg1pwZLBlWbE4bjmwHpjlGk8wGsWiMYDBIRkaGFugogCQpWqUV1SotU4aZ/MqZvQ7ngsVF2fzz+euNjK1UMxdJkiaRVqpk10A0RveIl7cPHmZfdx9Ri52SvFzWV5ayunwRuc7JYZMnMxIFHQ0NDWRlZaGqKi+++CK333473/zmN/nCF75wXBV6syGoe++9F1VV+cY3vsE//vEPrrzySvbs2fN+UhKmCWoiWlpaaG5uTrr70qWqr7/+Ort27aK1tdXYl2psbKSxsZENGzZQXFxMMBg0SMvv9yclvubk5KSsYiLBKP2HB+jtGKC3w03fgX4CY8GJlzYrKIpCKBQyVEmz2fkoLMvny/d8IW6dMzNEUWKw10Nf5wjuLo24Rgb9WKxm1p6xnA0fqie34Nhdp3VrKVEUjdBHfTnT6/Xi9/sBJokwTCaTJnEfDtDZ3k9n2wAH9rkZGfQZFk7R2PQxFCDgyLaTWegisygL8zHaCCmyYohGMjMzp6+QVCivyGf96ctwj/i1LK1Z5GjNhMwMK1vPW0t1eep49cTlV/3nV5ZlXC5XkmNDJBJh//79ZGZmUl1djcViwReO0j3mpXdUazllOmwszsmioiDnqB3ojwf8fj/79u2jsLCQpUs1K6+xsTFuvvlm/H4/Dz744Alpnf3jH//g9ttv58UXXwTghz/8IQC33HKL8ZiVK1fywgsvGDEZVVVV7Ny503C6eR8gTVBHCz0ls6WlhZ07d9La2kp/fz9VVVU0NTXR1NTE+vXrcTgcRtyznvhqt9uNtmBOTk7K3SPfSMBoC/Z29OM+2E9smnRafc4UjkRwZmRgt9vn1OL44KVncPaWjUf1XgBEQjGNrOJtQZvdQtmyIpavKCU7b27uBoqi0NPTQ19fH1VVVRQVFU35WmRZNnZcBvtH6GxzM9QbYKw/QjQkxeXYk8lFi+OOK/DipBWLySlFAoIgkFmURU5ZDrbMObawVM0SJxqNpszNmg611SV8ZksTFosZVVUZ8gSN0MeeQS/uFDlaM0EQ4MzVS/noxlqss7ghURQl6aZgeHgYURTJz8+nsLBQCyhMoTpUVRVvOMqQP4jVbMZmMWM1m8hzOuYkV18oKIrC4cOHGR0dpaGhAZfLhaqqPP/883z/+9/npptu4rOf/ewJq0YkSaK2tpaXXnqJsrIympub+c1vfsPKlSuNx5x//vlceumlfPGLX2Tfvn2ce+659Pb2LrhLy3FEmqDmE4qi0N7ezq5du9i1axe7d+8mGo2yatUqg7RWrlxpKNt00orFYmRmZhrzrFStK0VRGOkbM+ZZvQf6GTwyjCIrxGJa20iPjT+qH1ABPvftT1O1ZmrBw1zh94ZwHxklGo5pFYMA2blOikpzcThTLwSPjo7S0dFh3NFO1ZpUFIXRQT/urlF6Dg3Rc2iIIbcX0MUHEmLcukmPPrdYLFjjcmxTipgGJS7P16usSERMdp9AILPIRV5FPtaMmYlGEiUtpyn+ucxBnGdgWWUhl16yAbt9cqtNVhQGRwP0DnnpjqcW94/4kWfhM1iY6+TCMxuor5zd3bbX62X//v0UFxezZMmSSe1BIGmHKFV7W1VVAtEYqgrmuKGuySRgM5uP66Hq8/nYt2+f4f5iMpkYHR3lW9/6FpFIhAcffJBFixYdt+uZCs899xzXX389sixzxRVX8O1vf5vvfve7NDU1sXnzZvbu3cuXv/xlozL/3//7f/PRj370RF/2fCJNUAuNaDTK7t272bVrFy0tLbz77rtkZmayfv16g7QqKioIh8NJpAXaL7xOWqn2h7xjXlr/9joj3R6EsJmhzhHGBrxHfa0ZLgdX3vk5cktSL1UeK1RVjZPKCN7RIOFgjEgoSkamHYvNxKh3GLNFoKpqKRnODG1fS5KJRSXCwSgBbxjfWIjRQR8jg36kOewe6XEokiQiihKKomA2m+Ku7ppZbqp9MDnuOB82Ki3N+im7LJfcJXkpW3WqorXKZEWecqdpLlhcmstnL92IyzVz9SZKMgOj4zlaPUNeBkcDUy4W11YU8pHmGpaUpJZKJ0rH6+vrk0yUE5FYyfp8PgKBACaTKYm09PZrIlRVRVK0eHU9n96It59nKIrCoUOHGBsbY8WKFWRmZqKqKtu3b+ff//3fueWWW9i6dev7qQJ5ryNNUMcb2hB/jJaWFoO0urq6KC8vNwirsbGR7OxsAoGAQVj6zo9OVh6PB7/fT21tbZKEO+QPa1L3BOVgyDe9iWsicoqy+dx3Pk1B6eyMQo8VYkzirdf30v7uESyKE+9whOF+74LaC+nQ7Zv0PSJFUbGYzVis1rhbw2TXcABJkolERASLieKaEiICRKJiUtpwpm4bNU9nXU62k89euoGSkrknIkdFCfewzyCt3iEvw55Q0mNqKwo5c/VSapYUGq85UTqu7//NBZIkJZGWvgOXKMJIVfGrqtZonfhsx0IcegW4aNEiKioqEASB4eFhbrzxRhRF4f7776ekpOSov38aC4I0QZ0M0Hcvdu7cSUtLC6+99hp+v5/6+noaGxtpbm5m9erVRo+8oKDAmFvpUveppMKqquId8o/Psw704z44gDSNU7ozO4Ott1zE4uqFbXOMjIzQ0dFBSUlJkuNALCrS3zWKu2vUkLx7R49ONDJXyLLm6i7GF7dRVcwJcSSpMrTq1pSz6oylvL23g1BIRZRsDA76J7QHjx02q4VPfHwNq1Yeu9Q5HBXpTcjQ6h3yMeYPU5DjZPXyEjKFAFkZtnmXjouimERaoVAIi8WSRFqphET6mTRXkpJl2XC1b2hoMKqmZ599ljvuuINbb72VSy65JF01nZxIE9TJClEU2bNnj0Faf//73/F6vaxYsYJLL72U5uZmqquricViSa1BXXU1nR+eLCsMd48kLRQPdg8nfbIms4mzLt7ImZ9qnrW6b7YIh8O0t7ez8AhqAAAdbElEQVQjCAK1tbWa3HoGBP0RQ4ThjpNWaA5LxUcP1YgiESVpUoaW2WIhGo1gMsPmfz6LprMbjCXooWG/5oLR56G3z8PQ0OzD/qZD47pKPvbRlVit87tT7w9FeGvvQfa0HwGbi8zMTCoX5VFfWUxR3sJ548VisUmkZbPZkkhLT9ydCzweD/v372fx4sVGVM7Q0BDf/OY3MZvN/OQnP3k/Kd7ej0gT1MkOVVX50pe+hNfr5bvf/S4ej8dQDR44cICioiJjN6upqYmioqJJUmyTyZTk0pCqraJbN/Ue6KfvgLaj5R3ykb8ol7O2nM7Ks+ri5qRHD1mWOXLkCENDQ9TU1CQFOh7N+3I0S8XzAS2KRNLcOWJRzXbHbMZisVC3ZgkXfu4D5BfmTHqPRVGmf8BrWDf19s49+FFHfl4mmz+xlsoEp41jgR4jkSgdV1UVXzBKz5CXcCSGw2Ylw26lpMCFK2NhF3Kj0WiSRVYkEjHcRhJJKxVkWebAgQMEAgHDcklVVX73u99x1113cdttt3HxxRenq6aTH2mCei+gs7MzZcaMqqr09fUlzbOGh4eprq42Zlnr1q3DbrenlLrrpDWV1D3Rusk/HKCwPJ+qtZUUVxTO+Zd7aGiIgwcPUlpaypIlSxZEvqsoCsP9vvhCsUZcg32eeU/PVWSZQDAQX4KO713F7YUkScJshdPOWszylaVJO3Cp3uNIRMTdn5ih5cXrC6V41tRYu3oJ5354xawEFClfS4K1T11d3Yy+cqqqMuYPExNlrBaTJjQxm8h02Bb0wNfWApJJKxqN4nA4km6+gsEgbW1tlJWVUV5ejiAIDA4O8o1vfAO73c5PfvITCgtT74EdK2YydwV46qmnuP322xEEgTVr1vCb3/xmQa7lfYI0Qb3fIMsy+/fvNwhr9+7dyLLMaaedZlRZDQ0NSJI0pdRdP1RT7baM9nsIecNkZDmwOWzYnTbsGVMH5IVCIdra2rBardTU1Bx3K5yploqPDpq7RTQSJdOVidU6fTBg7eoyms6tQpQjSfZCie9xSqeGQDQ5rbjPQzA0dTvTbrPwgdOXs3FjFQ777PesvF4vbW1tSUuqRwNVVQlHRSPa3hQ3cbXMo13TVM+rW2R5PB4GBgaQJInc3FxaW1spLi7G6/Xy0EMP8b3vfY9PfepTC0aiszF37ejo4JJLLuHPf/4zeXl5DA4OpluM0yNNUO936JZBb7zxBi0tLbS0tLB//36ysrKM1mBzczOLFy9Okrr7/X5UVTWk7vpuy6SoDEk2HLSJH1DaDEY2FiFramqSlIYnGvpSsd4adB8Zwe+dXukoiSKBYACbzR53B5/dQZfpsvORLY2siBvq6vtD+nuc6NSg22OlXHr1ho22YJ/bg9vtITpB6JLhsNHUWMmG5mW4XFPP9SRJ4uDBg/j9fkM4MN9QFC05WBBAQNAV5AtCEKOjo7S3t1NeXs7ixYuJRCI8/vjjPP300xw+fJi8vDxWrVpFc3MzX//61xfkGmbj/PCtb32L2tparrrqqnl//vcp0gR1KkJVVYaHh43WYGtrKz09PVRWVhqk1djYiMvlSsp30qXuiS2VicNrVVUZHBzk4MGDlJeXU1ZWZoQ9nszwe0LjpHVkFHfXCJGwiKooBIJBI4zxaHeaqlcu5qOfaZpkAZWYoTVx6XW6GwPtMwwkVVr9/T4kWcZsMlFfX0rj+kqWVhYk/d3h4WE6OjpYsmQJZWVlx/VzSWXkmpi5NldIkkRHRweRSISGhgYcDgeKovBf//Vf3HvvvfzgBz9g8+bNxgL9u+++y5YtW+bltUzEbLzzLrroImpra3n11VeRZZnbb7+df/qnf1qQ63mf4NQkqNn0ik816EuMugvGa6+9RjgcZsWKFQZpnXbaaYbFv94ajEQiZGRkGBEZbrebjIwMampqkmYuqqpOOqBOZtJSFIV97xxgz+52LEom/rEYgz1jSHO0FkqExWrmjPNWsPEjDdMq8PSl18QduNl4OsqywuCgL6nSikYlGhpKqVlehN/fj6qq1NfXn3DXcR1HS1AjIyO0t7dTWVlJaWkpgiDQ39/P9ddfT25uLj/+8Y+PSYQzV8yGoD7+8Y9jtVp56qmn6Onp4ZxzzuGdd95ZkDyp9wlOvTwoWZb56le/mtQr3rx5c1Kv+FSEyWSiurqa6upqPv/5zwOa/Pftt99m165dPPLII+zZswebzca6deuMedbq1asZGhpi165d5ObmGoKM9vb2SVL3iQeRnuWj42QhrEAgYLRBL/7CPxlzIlmSGezzGPtZ7iMjc1oqlkSZl597h7d2HmLT5jWsWF+Z8jWbzWZyc3OTDi49Q8vn8zEwMJCUoaWTlt1up7Q0l9LSXBrXa38vFpN4550D/PXl18jKymfRokIOHRpl6dICMqaZHR4vzPUzF0WR9vZ2RFFk3bp1RtX0xBNPcN9993HHHXfw8Y9//Lj/LJWVldHd3W38uaenZ1I0R3l5ORs3bsRqtbJs2TJqa2vp6Oigubn5uF7rex3v6wpqNr3iNFJDVVV8Ph+tra1JfoOSJPHhD3+YT3/60zQ2NlJQUEAoFMLr9c5J6p5YZelfO54HjSzLHDp0CI/HQ11dHdnZM7s2RCMiA91Ht1RcUp7HBz++muUr5u7SAJoUOzHuJTGjTF/aPnDggFHR6kQbDsfoH/Chqio2qwWr1UxOTgYOx+wFFicCurPF0qVLWbRoEYIg4Ha7ue666ygqKuLee+89YbPO2Zi7vvDCCzzxxBP88pe/ZHh4mHXr1vHmm29SUDA/qwLvQ5x6Lb7ZlOJpzAyv18unP/1p6urquOaaa2hra6OlpYXW1lZGR0epra01XDDWrl2L1Wo1ljG9Xu8kqbveIpyIxJ9FvR20EKSVODfT5clHi6A/kiR1d3eNTrtUXFqRzwfOW0Ht6vJjkt/rghiPx0Nvby9+v39SlZXKiBggGIwiSZqprtlswmQSsNtTWz0db4iiSFtbG7IsG+1JRVH4zW9+w/33388Pf/hDLrjgghN+rTOZu+rZTS+88AJms5lvf/vbbN269YRe80mONEGlCerooKoqbW1t1NfXT/qaJEns27fPWCh+8803UVWVNWvWGPOsuro6ZFk2KgA9RTczMzOJtKaKypiIoz2cwuEwbW1tWCyWBZPBq6qKN75UrLtg9HePIk7Id8otyKTpg3WctmEZGXON9YjD5/Oxf/9+IxUWSMp4SjQinsl5XBTluPpOU2cCx7ysPVfoNw7Lli2jpKQEQRDo6+tj27ZtlJaW8n/+z/9Jz3Devzj1CCrd4jv+0NNb9cDHlpYW2tvbycvLMwIfm5ubKS0tNVJ09cNUl7pPDCRM9RyJmImwFEWhq6uL/v5+amtrj+tAHTRBw0i/N6k1OOTWlootFhP1ays4beMyKmtLZlVVJXrO1dfX43JNHRgpy3KSEbHuPD6bFqyiqAntV+L/nv/KJRaL0dbWZog6bDYbiqLw+OOP89BDD3HXXXfxsY997IRXTWksKE49gppNrziNhYcuR090wXC73Sxbtiwp8NHpdBopxbrU3Ww2Gw4YU/m0TVdleTwe2traKCoqOqYF1fmGKEoM9Ixp7cEjGnGJokTdmiXUr1lCWVVRygpGN91NdE+YK/TF7cQWbKIfni7CmM37DMdGWgMDAxw6dIiqqirDYbynp4dt27ZRUVHB3XffTU7OwkTCpHFS4dQjKEjdK07jxENRFDo6OgzCeuONN4hEIqxcudKoslauXJkkdfd6vUQiERwORxJppYq61yPko9Eo9fX1Rx/ueBwRDkXpj1dZnuEAziwHxWW5VNWXYrYKtLe3I8sydXV1szLdnQtisVhSNau/z4mVVir7plT7TrN9vv379yMIAnV1dUbV9Ktf/YqHH36Yu+++m/POO++k/8zSmDecmgR1MqC7u5vLLruMgYEBBEHg6quv5rrrrmN0dJRLL73U8N976qmnTioXhuONaDTKm2++aSwU79mzh4yMDNavX2+QVmVlZdJh6vV6kxwasrOz8fv99PT0UFVVRXFxcdKi6ESczAegqqr4xkLsfauD3t4+li6rYNHiEopKc7EvsAov0VpIf69FUTTmhtPZN830fQcGBjh8+DDV1dUUFRUB2u/I1772Naqqqrj77rvJyspaiJeVxsmLNEGdKLjdbtxuN+vXr8fv99PY2Mjvf/97HnvsMfLz87n55pu58847GRsb46677jrRl3vSQFVVPB4Pra2thgijs7OTsrKyJFf33NxcQqEQ+/fvJxTSzFf1KkuvAKaqoOY6zzqeCIfD7Nu3D4fDQU1NDVarVXtPhgPIsoI5buBqtVvIcC78Mq6qqpNEGIqiJIkwUkW+6IhGo+zfvx+LxUJtbS1WqxVFUXj00Uf5+c9/zj333MO55557Un0GaRw3pAnqZMEnP/lJrr32Wq699lp27NhBaWkpbrebTZs20dbWdqIv76SGLnjQd7NaW1vxeDzYbDaCwSB33nknZ599tiF111uD+pwlkbRmkrrrON4HZqKoo66ubsaqWpZkYlFJk+Wb4iauZtNxUeHp9k16laXvwSXaNzmdTgYGBujs7KSmpsZwGD9y5Ahf+9rXqKur46677ppW7HGsmK2jzP/7f/+PLVu20NraSlNT04JdTxqTkCaokwGdnZ2cc8457Nmzh4qKCjweD6AdjHl5ecaf05gdnn/+eW655RYuvPBCysvLee2113jrrbcQBIF169YZlVZtbW2Sq7sudZ+N4/jxrLImSsePVtQhJyb8CpqB6/GynEqMfx8bG2N0dBSz2UxxcTE7d+5k48aNvPLKKzz22GP86Ec/YtOmTQt6XbNxHwfw+/1ceOGFxGIx7r///nkjqJGREcNIOY0pcepZHZ1sCAQCXHzxxfz4xz+e5FxwsvvVnaxwOBy8+OKLhgIMNEIJBAKG1P2OO+6go6ODwsLCJFf34uJiQ+o+ODjIgQMHUFXVSCmeT6n7TEh0tlixYsUxVxOpkpEneiTCwpCtxWIhNzeXcDhMOBxmzZo1ZGVlMTQ0xO7du3nooYfo7+9n/fr1/OUvfwHgQx/60Lxfh46Wlhaqq6upqqoCYOvWrTzzzDOTCOo73/kON910E3ffffe8PXdrayu/+tWvaGpqoqam5pgMc09FpAnqOEEURS6++GI+//nP8+lPfxqAkpIS3G630eJL58XMHakONkEQyMrKYtOmTWzatAnQDuf+/n6jNfjTn/6UwcFBqqurDdJat24dTqfTaFkdOXKEQCBgmLfqpDVVJPnRKtoSpeNNTU0LdoBNZzc13ePmikgkYszOmpubsVgsyLLM9u3bef3113nggQc4++yz6evro7W1FbfbfUzPNxN6e3tZsmSJ8efy8nJ27dqV9Jg33niD7u5uLrzwwnkhqP7+fi666CLKysr4+9//brRp0+Q0N6QJ6jhAVVWuvPJKGhoa+PrXv278/82bN/PLX/6Sm2++mV/+8pd88pOfPIFX+f6GIAiUlpZy0UUXcdFFFwFa1dLe3s7OnTt55plnuO222xBFkdWrVxuqwcbGRgCjNeh2u5Ok7jpxWa3WOZNWLBajvb0dSZJYu3btvEvHZ8JU13u0VZaqqvT29tLT05O0EH3w4EG2bdvGmjVrePXVV3E6nQCG1dSJhqIofP3rX+exxx6bt+/Z0dHB5s2b+dd//VeuuOIKOjo6jOc6WXbx3gtIz6COA1555RXOPvtsTjvtNOOH84477mDjxo1ccskldHV1UVlZyVNPPXXcXQ7SSEY4HGb37t2GAGPv3r24XK4k1WB5eTmxWCxJgi1JUlJK8VQ+eDBezXV2dk6Swp+MmE1bSlccOp1OampqMJvNyLLMww8/zG9+8xvuu+8+zj777ON0xcmYyVHG6/WyfPlyo63a399Pfn4+zz777FHPob773e/S1dXFY489hs/no7m5me3btxtzqHSrbxLSIok0UkOWZZqamigrK2P79u0cPnyYrVu3MjIyQmNjI7/+9a9TLmmeClBVlZGRkSSpe3d3N0uWLDEqrMbGRrKzsw1Xd13Nprca9dag0+kkEomwf/9+7HZ7knQc3pvtH1VV6enpobe3N0lx2NHRwbZt22hqauLf/u3fjKrpRGCujjKbNm3innvuOSaRREtLC48++ig33HADtbW1rFy5EpfLxVlnncUdd9xx0mR0nURIiyTSSI377ruPhoYGw1z0pptu4oYbbmDr1q1cc801/PznP+crX/nKCb7KEwNBECgsLOT888/n/PPPB7Q2zeHDh9m1axcvvfQSd911F8FgkIaGBqPKWrt2LRaLxaiyDhw4gMfjQZZlioqKKCwsRFEU4zmmw8l6tx0Khdi3bx8ul4vm5majanrooYd48skn+clPfsKZZ555oi8Ti8XC/fffz8c+9jHDUWblypVJ7uPzjczMTBwOB3/7298QRZHzzz+fxsZGzjvvvDQ5zQHpCuoUR09PD5dffjnf/va3uffee/mf//kfioqK6O/vx2KxTGqPpJEaoigagY8tLS288847WCwW1q1bR2lpqRFN3tjYmLQ3FI1GZyV1P5mgqird3d309fVRX19vOIy3tbWxbds2Tj/9dL7//e+TkZFxgq/0xOKJJ57gxRdf5LnnnuPHP/4xn/vc54D0HGoKpFt8aUzGli1buOWWW/D7/dxzzz089thjnH766Rw4cADQLGjOP/989uzZc4Kv9L0F3dLnhhtuYOfOnaxZs4ZDhw5RUlLC+vXraW5upqmpicLCQsLhcNI8S3dn0EkrVUSG/hzHu7IKBoPs27ePnJwcqqqqMJvNSJLEAw88wNNPP80DDzzA6aefflyv6WRGIBAgGo0aQYUnazV8EiDd4ksjGdu3b6e4uJjGxkZ27Nhxoi/nfQVBEHj++ec544wzePzxxzGbzYbKTZe6P/DAA4yMjFBTU0NTUxONjY1GtHkgEMDn89HV1TUnqftCQVVVw92ivr7ecBjfv38/27Zt46yzzuLVV1897krEkx0ulwuXy4Usy5jN5jQ5zRHpCuoUxi233MKvf/1rLBaLYQz6qU99ihdffDHd4jtOkGU5KfBx9+7dqKpqSN2bmpqor6/XjGMTIjLC4fCCuo0nIhgMsnfvXvLy8qiqqsJkMiFJEj/5yU/4/e9/z4MPPsiGDRuO+j1IIw3SLb40psOOHTu455572L59O5/5zGe4+OKLDZHE6tWr+V//63+d6Es8JaAHPr7xxhtGflZbWxu5ublJgY+LFy82XN0T3cZ1F4zZSN11TEVciqJw5MgRhoaGqK+vN9xP9u7dy7Zt29i0aRO33XZbeuifxnwgTVBpTI1Egjp06BBbt25ldHSUdevW8fjjj6cPoRMIVVUZHh42WoMtLS309fWxdOlSg7DWr19PVlaW4Tbu9XonSd2zs7PJzMycVSUVCATYt28f+fn5hiegKIrcd999bN++nQcffDBtpprGfCJNUGmk8X6BoigcPHiQnTt30tLSwuuvv04kEmHFihUGaa1atQqz2ZzUGgwGg0Z6bmJKceL37ezsZHh4mIaGBiOX6d133+VrX/sa5513HrfeeuuC3rDM5Dx+77338sgjj2CxWCgqKuIXv/gFlZWVC3Y9aRwXpAkqjfcOPB4PV111FXv27EEQBH7xi19QV1eXDnicBrFYjLfeessgrXfffReHw2G4ujc3N7Ns2TIkSUpqDepSd7vdzujoKMXFxcasSRRF7r33Xp5//nn+8z//k/Xr1y/oa5iN8/hf/vIXNm7ciNPp5KGHHmLHjh08+eSTC3pdaSw40gSVxnsHl19+OWeffTZXXXUVsViMUCjEHXfckQ54nAP0wMfXXnvNEGEcPnyYxYsXJ1k3OZ1OHn30UdasWUNOTg6hUIjrr7+ekpISOjs7+dCHPsS9995LZmbmgl/zTLZEE7F7926uvfZaXn311QW/tjQWFGmZeRrvDXi9Xl5++WXDvNNms2Gz2XjmmWcMOfzll1/Opk2b0gQ1DQRBIC8vj/POO4/zzjsPGJeL79q1i1dffZUf/OAHdHV1sXbtWiRJYsOGDaxcuZILL7yQV199lYsvvhi3283ZZ5/N0qVL+e///u8FvebZOI8n4uc//7nh8JHG+w9pgkrjpMPhw4cpKiriS1/6Em+99RaNjY3cd999DAwMUFpaCsCiRYsYGBg4wVf63oMgCFRWVlJZWUlvby8ul4sdO3YgyzK7du3it7/9LX/4wx/YsmULf/zjH5Ok65FI5ARe+WQ8/vjjvPbaa/z1r3890ZeSxgIhTVBpnHSQJIk33niD//iP/2Djxo1cd9113HnnnUmPSQc8Hjs++clPsm3bNkOKvmbNGq6++uop3Q6OxxJuWVkZ3d3dxp97enooKyub9Lg//elP/Pu//zt//etf0wrT9zHShlBpnHTQc4I2btwIaHZMb7zxhhHwCKQDHucBulXRRJxI4m9ubqajo4PDhw8Ti8X47W9/O8nMdffu3fzLv/wLzz77bPpn4H2ONEGlcdJh0aJFLFmyhLa2NgBeeuklVqxYYQQ8AumAx/cpEp3HGxoauOSSSwzn8WeffRaAG2+8kUAgwGc+8xnWrl27IG7kaZwcSKv40jgp8eabbxoKvqqqKh599FEURUkHPKaRxvsTaZl5GseO1tZWrrzySlpaWpBlmQ0bNvDkk0+yatWqE31pxw0/+tGPeOSRRxAEgdNOO41HH30Ut9udDnlMI42jR5qg0pgf3HrrrUQiEcLhMOXl5VPuqLwf0dvby1lnncXevXvJ+P/bu5uQxq4ogOP/i3ExKxWrGLShQsRNVdCFHwupBrG4DFYHhWgVtGAZEER3VupGN666EuzCLoSiYIZBU7SuKigVd+OiEbQLLVOJSVHjCE9PF6YSR0t9U8docn6rl5sL77zVSd65595nz2hpaaGpqYmFhQW8Xu/V/oVlZWUpe8ijUu/h1gSlNShl2/DwMEtLS2xsbDA4OJjocB6cZVmcnp5iWRbRaBSn08nKygrNzc3AZY/W/Px8gqNU6unTBKVsC4VCHB8fc3R09Oh6Yz60/Px8BgYGcLlcOJ1OMjIyqKioIDMz8+ok3IKCAvb29hIcqVJPnyYoZVtvby+jo6O0t7czNDSU6HAeVDgcxu/3s7Ozw/7+PicnJwQCgUSHpVRS0kZdZcv09DTp6em0tbVxfn5OTU0NKysr1NfXJzq0B7G8vExhYSE5OTkAeL1eVldXiUQiWJaFw+H41+ZSpZQ9+g9K2eLz+ZibmwMgLS2N9fX1lElOAC6Xi7W1NaLRKCJy1aNVV1fH7OwskDo9WoFAgOLiYtxu942dPgDOzs5obW3F7XZTWVnJ7u7uwwepnjRNUErZUFlZSXNzM+Xl5ZSUlHBxcUFPTw/j4+NMTEzgdrsJhUJ0d3cnOtQP6vz8nL6+PhYXF9na2mJmZoatra1rc6ampsjKymJ7e5v+/v6Uex2s/j9dZq6Usu0ux2I0NjYyMjJCdXU1lmWRl5fHwcGB7qGobqPLzJVKVl1dXeTm5l5rmD48PKShoYGioiIaGhoIh8PA5ZEbL168wO12U1payubmpu373XYsxrsrF+PnOBwOMjIyCIVC7/N4KkVpglIqCXR2dt5YTTg2NobH4yEYDOLxeK7qRIuLiwSDQYLBIJOTk9pQrB4tTVBKJYHa2tob+xL6/X46OjqA683Dfr8fn8+HMYaqqioikcjVLvF3dZdjMeLn/HPMfHZ2tu1nU6nrv2pQSqknwhjzCfBKRD6NfY6ISGbs2gBhEck0xrwCxkTkl9h3PwNDIrJh414O4DfAA+wBvwJtIvI6bk4fUCIiXxljngNeEWm5h0dVKUL7oJRKASIixph7+zUqIpYx5mvgJyAN+F5EXhtjvgU2ROQlMAX8YIzZBg6B5/d1f5UaNEEplbzeGGOcIvKHMcYJ/Bkb3wM+jptXEBuzRUQWgIV3xobjrt8CX9iOWqkYrUEplbxeAh2x6w7AHzfuM5eqgL9ExF4RSqkHoDUopZKAMWYG+Az4CHgDfAPMAz8CLuB3oEVEDmP1qO+Az4Eo8KWd+pNSD0UTlFJKqUdJX/EppZR6lP4GWhCpYq0e0x0AAAAASUVORK5CYII=\n",
- "text/plain": [
- "<Figure size 432x288 with 1 Axes>"
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- },
- {
- "data": {
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Bamtr8ZnPfCbp87feeitOP/10nHLKKejr68Npp52WVDell8rKSpx22mno7e1FWVkZgNjDS0dHB5qamlJ+JtWxzJWTTjoJjY2NaG5ujhOPnTt3wuv14swzz1SXveOOO/Dmm2+ipqYGF198MT772c+q70UiEdx0001Ys2YNmpubMTs7izvvvBMA8PTTT6O3txd2ux3XXXcdHn30UZSXl6O9vR0HDhzAT3/6UzQ2NqK9vR0/+9nP0gquLMv4xS9+gdbWVtTX1+Oll17Cr3/9awDAxz/+cfT29qK5uRlr1qwBAPzLv/wLenp6sGvXLlRXV+P88883a59KACZxWCkBs2FhifHggw/iN7/5jTpUeCJDRJAkCZFIBDzPg+M4sCwLhmHUYZz9+/fjt7/9rXm8TExKm5Rj0MtbUWeSE8FgEPfccw/+4R/+Ybl3ZVkhIoRCIQCx+QRBEBCNRgEALpcLPM+jtrYWHMchGo2qhZta4TIxMSl9zCG+FcIzzzyDxsZGrF27FldcccVy786yQESIRqMIh8M4evQovF4vgFgSivIvGAwiFApBlmUIggBBECBJErxeLzweD7xeLwKBAMLhMKLRKCRJSkpOMTExKQ3MIT6TkkeWZUiSpFoXMQyDo0ePorm5GTU1NYhGo2pkNDY2Bp7n0dLSkrSexBoLbTTFsmyc0LEsqw4XmpiYFB1ziM9kZSHLMkRRhCRJABA3RMcwTMoJcoZh0kZE6Yb4lOVFUVSHChVM4TIxWT5MgTIpKZToJhqNqgKUSlgUIUr3ei5oRS9xX4D0wsWybFxyhilcJibGYgqUSUmgJDKIophRmBTSCVG6yCofsgmXMuyoCCURqREXz/OqaCVmFpqYmOjDFCiTZSVXYVLIFCkVO+lBr3ApBAIBSJKE+vr6lEOFpnCZmKTGFCiTZUGpYdJGILncrFmWTTsHtVykE65QKIRQKISampqkHlUMw6SMukzhMjExBcpkiUklTIoFTS5kGuIrtbRxRWhSfU8lgpQkSbXeUdAmZ6QqQjYxWe2YAmWyJBCRmpFXiDApLMUc1FKQKbNQES7tawzDpMwqNBM0TFYjpkCZFBVFmLQ1TIUIk0ImgVoN6BEus5bLZLVjCpRJUVBuosPDw1i3bp3hQ1MMw6jrn52dRUVFBSorK1V3iNVKJuFS0vMFQTCFy2RVYAqUiaEkFteOj49j/fr1hm4jGo3C6XTC4/Ggs7MTW7ZsQTgcRiAQgM/ng9/vx8LCAnieR2VlZdw/xf17tZFPEXIwGER5eTnKy8tN4TIpSUyBMikYvcW1hSIIAoaHhzE3Nwe73Y7Ozk50dnZCEATYbDbU1tbCZrPB7Xaju7sb0WgUwWAQfr8f8/PzGB4eRjQaTSlcFotlVd6YM6XET05OorGxMek9swjZpFQwBcokb/KtYcqVcDiMoaEhuFwudHR0oKenB1NTU0kRgbJ9JWqwWCyoqalBTU1N3DKKcAUCAczPz2NkZASCIMQJV0VFBex2+6oXLmXYT8EsQjYpJUyBMsmZRGHKtYZJL8FgEENDQ/B6vejs7MTmzZvjIoJ808zTCZcoiggEAggEAnA6nRgdHY0TLmWeSxkqXOk35XRWUdr/apcFkouQlWXTRVwr/RiZLC+mQJnoptDiWr34/X44HA6EQiFs2LABW7duTTkMZXQdFM/zOQkXx3Ep57hWyk05lUClI5twybKMSCSS9BmzCNmkEEyBMsmKUcW12fB6vRgcHIQoiujq6kJ9fX1eXnxGF+oWKlxK08RSIxeBSkc64VLWbxYhmxSCKVAmaTG6uDYdLpcLDocDANDd3Y3a2tqsn8mn3YbR6BUul8sFQRCwsLBQUhGXEQKViVyKkBUUsTJT4k0AU6BMUmB0cW2qGyERYWFhAQ6HAxaLBRs3bkR1dbXudWqFSLvuUrA6ShSu2dlZBINBrFu3Lk64xsbGEIlElm2osNgClY5swuXz+TA8PIytW7eq75m1XCcmpkCZqKTqXFvoDUAxdVUyxYgIc3NzGBoaQnl5ObZs2QK73Z7zeleSF59CpohLSYdfWFhYMuFaLoFKh/Z8UxIuALMI+UTGFCiTjJ1rC0VJZiAiTE9PY3h4GNXV1ejr60NFRUXe612JApUOnudRXV2dFEEqwhUIBJKES0mDV/6bj3CVmkApyLIcF7HnU4RsCtfqwBSoExRFNMLhMEZHR9HR0VGUSWqGYTAxMYGJiQnU19fj1FNPhc1mK3i92iw+7Y12JQpUOvQIl8vlwvj4eJxwaSMuq9Wa9jddKQKVjmyZhWYn5JWPKVAnGIk1TLIsY2ZmBhs2bDB0O5IkYWJiAh6PB3a7HaeffrqhNkOZhGi1CFQ6jBKuUhaoQvZLby1XqiJks6FkaWEK1AlCuuJanucNbU8hiiLGxsYwOTmJ5uZm1NXVoaOjw3APvExZfCcq6YRLkiQ1OUMrXKFQCP39/aiqqtIVcS0VimAYjVmEvPIwBWqVs1TFtdFoFCMjI5iZmUFbWxvOOOMM8DyPd955pyj9mZQnX+W7aNPgV3sElSscx6UUrjfeeAOtra0Ih8NxwsWybFJyxlIKl94hPqPIpQhZGRno6Ogwi5CXAFOgVilLVVwbiUQwPDyM+fl5rF+/Hrt3747bTrrW7IVyIg/xGUl1dTXq6uriXkuMuCYmJhAOh5dMuCRJWlKBSkcq4RJFET6fT43gzSLk4mIK1CpjqYprtQaunZ2d2LhxY8rtFCuiUQRKlmXMzc3BYrHAbrevqiSJYpNuDipdxCVJkpoO73a70wpXRUUFbDZb3jfkYg3xGYEinnqKkBOPr9kJOXdMgVolFKtzbSLBYBAOhwM+nw8bNmyIM3BNRbEiKCDm2Xfo0CHU1taqT/2iKCISiWBgYCDupql17DaJkauQcxyHqqoqVFVVxb2uCFcgEEgSLm06fGVlZWrhojA46XWw8lHIbC9keR1YtjR/L0mSMp5L+QiXmRKfHlOgVjjFKK5Nhc/ng8PhQDgcRldXF3p7e3Vtx2iBkiQJY2NjGBsbAwDs3r0bsiyrF300GsU777yDuro6BAIBTExMIBAIQJZl2Gw2VbCUm2apPqkvFUacK3qEy+PxYHJyMk64Yr+FDY3lj4FnHQADsPL7aLA2wyPtK3i/ikE2gUpHJuEyi5DTYwrUCsXo4tp0wz0ejwcOhwOSJKGrqwt1dXU5bSddtl2uaLMDW1pacOqpp+LYsWPgeT5uDkC5gBsaGtDQ0KC+rtR8KXMrCwsLCAaDICJVuOx2OyorK1FeXn7CCFcxb3bZhcsPS/QxhOW3EZRlMIufYWUvOPElhEKXFjRUWAzyFah0mEXImTEFagVRrM61HMdBkiTw/PHTQfHJY1kWXV1dugxcU1FoBCWKIkZHRzE1NYXW1lY1OzASieTkJMEwjNrefM2aNerrRIRQKKQK1+zsLEKhEAAk1Q6Vl5evypvAUqMIV03FACxRB4DYXJeS2BMMBlFd9hIcjnb4AtaEiKsy/VDhEmC0QKUjnyJkZVmWZWG1WlUhW8nnrClQK4Bid65VRISI4HQ64XA4UFZWhk2bNiU9/ea77lwRRREjIyOYnp5GW1sbdu3aFXdjMMrqiGEYVFRUoKKiAo2NjerrsiyrwuXz+TA9PY1QKJR0s7Tb7SVRO7TiIBG8+L9xLyl1eRzHoczC45SN/YiWXaNzqHBphGupBCod2YRrZmYGwWAQ69evB8MwmJ6ext1334177713yffVCEyBKmGUJ8rZ2Vl1aK0Yc0wsy2JmZgYTExOorKxEb28vKisrDVt3LoKhradqb29PEibterVincrZvND9Vm56TU1N6uvpbpZaf7xSaKVR6nDSa2BoLvWbBHU+CuQBx9XomuOamppK+RBhpHAtt0ClQ/lusiyjrKxMHQ3xeDzweDzLuWsFYQpUCZJYw3Ts2DHs2rXL8JsdEWFqagputxs8z+NjH/sYysvLDd2G3ghKEASMjIxgdnY2ZT1VIsuVTp5pXkU7v6U1dlWGWVwulypcJzQUBSc9k/5tKPOhMjjpVUj8J1Iul+m3CIVC8Pv98Hq9ScKlzSzMddhWkiRYLBbdyy81oijGnV8ejyfJPX8lYQpUCZGuuNboWiJZljE5OYnR0VE1maCrq8twcQKyJ0kIgpCx0DfTekup3ild7ZAoihgfH4fX68Xc3ByGh4cRjUZhsViSil5L+cZnJKz8Nhhyp1+ACIpkcNIrkLgLgBxEhOM42O32pDYusiyrEZdWuJRhXj3zjaUaQSmIohjXJcDtduc9f1wKmAJVAmSrYVKSGAq9MCRJwvj4OMbHx9HU1KQauB45ciRld1MjYFk2aTIXiDlQDA0NYWFhAR0dHejp6ckpc67UBCodPM+rN4zOzk719Wg0Cr/fj0AggJmZGbWGq6ysLCkVXpu8shrgpFcyvk+AKkgMLcTqo7gtBW+XZdmswqXMN4bDYQDJiTKiKJa8QGnPF4/HYwqUSX6kEqZUT208zyeF7rmgzYRraWlRM+EUillMm7juRAeKTZs25TV0udLndiwWC+rq6uJshogIgiCoQ4WTk5MIBAKQJAlWqzUuFb6ioqKkb5TpYORZsPJgxmWICAyO/76s/LYhApWOXITL7XZjYWEhzmC3lDI8TYEyKZhci2uVCCpXtPM669atS5twkO/69aAMT4bDYTgcDng8Hl0OFCciDMPAarXCarWivr5efZ2IEIlEkmq4ZFlGeXl5ks1QKddwcdKr2RdaTJJQYOUPAaKchvmMIJVwHTlyRM2Q0xNxLbVwJQqU1+vFunXrlmz7RmMK1BKSb3FtrgKiGLg6nU5d8zocxxUtgopGo5iZmcHs7Cy6urqwZcsWU5hyhGEY2Gw22Gy2lMXHylDh/Pw8gsEgAMQJl91uL40nfBLBSYezL4b4onGGvGBoHMS0F3PvdKEkSdhstoKGCov1e5gRlElOGFFcq1egQqEQhoaG4Ha7Mxq4JsKyrOERlOLZ53a7UVlZiW3bti3/DXKVoS0+TlfDla742G63x1lELQWsfAyAL/uCmiSJ4589AoktDYFKN7SabagwGAzC5/NhZmYmbTG4zWYrKAJO3D9ToExSYmRxbTaBCgQCcDgcCAQC2LBhQ85RipFzUMq+BINBdHV1oaWlBbOzs0W9CZrCF4+2hktLYhZbJBLBa6+9tmRtNFj5HV3LLVa0xb3GSR9A4j9p6P7kQz7JSlrh0tbUaR8k/H5/knAlpsPrFS7t7+b1ek2BMjlOMRoE8jyfUqB8Ph8GBwchCAK6urrQ0NBQFAHUg9/vjzOTVfbF7XYXbfjQJDcSn/CdTid27NgR10YjsVW8VrTsdjssFkt+5zKJ4KT39S+fsAmGRgHyAkx16uWXCCNbgWR6kEgnXIlzjtmEy+PxJPX7WkmYAmUQxexcmyggbrcbDocDsiyjq6srbkI9H9KlgutBK5Ld3d2or69PcmQutkAJgqBW0JvoQ5uin67gVRRFdZjQ6XRidHQUgiCA5/k40aqsrATP8yBEwDK2lNuLZe4FC9pnVh6AzJ1W0DpWAnqEK3HoVhGuaDSKQCCgCpc5xHeCsxQNAjmOgyAIWFhYwODgIHieR3d3t2EV4vlEUF6vF4ODgxBFURWmVBSzBbssy/jggw/gcrnUebSysjKEw2FMTU2pwyMrMR272OiZe+J5HjU1NUnnmXITDAQCmJmdho+eg2z9ECwnolw+A7WW82CvrFeFC9A/vJcJVh48IQQqHdmEy+v1AgCGhobwyCOP4JlnnoEgCLjrrrtw8skno7e3Fz09PWnr6p5++mlcd911kCQJ1157LW666aa49w8ePIjrr78e7777Lh599FFcdtllce97vV5s3boVn/nMZ/CrX/3KkO9sClSeKMI0NzeHcDiM1tbWoqT3EhECgQCmpqZQW1uLzZs3F2zgmkguUY7H48Hg4CCISG2/YdS69aKkrAeDQfT09GDjxo2QJAkMw0AQBLz55puIRqMYHx9Xe0EpT5gnYkuNVBSSHGGxWFBbW4uamhrMRh4HIwwCKAPJPETpTXgFL7xTFyIYCC7WcFmwufVvsFrC4BbNYPPZNis78trf1Y4iXBzHYW5uDieffDJ+8pOf4Pbbb8fHP/5xnHzyyfjggw/w+OOP47LvMBMAACAASURBVIYbbsCOHTuS1iFJEr7zne/g2Wefxbp167Bjxw5ccskl2Lp1q7rM+vXrsX//fvz85z9PuR+33XYbzjnnHEO/mylQOZJYXKt4sBXDJ29mZgZDQ0OwWCxYs2YNent7Dd2Ggp4Iyu12Y3AwVmDZ09OjO3ozUqC0Rb5dXV1wuVxobm6OqyezWq3geR7r169XP6dtqeH3+zE7O4tgMAiGYZKGqk4UZ3IjsvcWhGfhEQ6pfzMsCwvLApYRrG1woabszNj1EjkGqyBAlAjRcBiSKIIQOzd4jgPH87H/clzGWieGpgAKAIwxRsa5UurOJYkp5mVlZWBZFp/73Ofwuc99LuNnDx8+jJ6eHnR1dQEALr/8chw4cCBOoBQnlFQPdm+88QZmZmbwyU9+Eq+//roB3yaGKVA6SVdca7FYDE3RlmUZ09PTGB4eRl1dHbZt24ZQKISZmRnDtpFIJhFxuVwYHBwEx3HYuHFjktdcNoxoWBiJROBwOOByueKKfB2O9E/U2htwppYaSnKA2+2OSw7QupIryQGriUIFSpDnsRD5c9r35yJ/QAW/GRa2HuVcP7iyMsQdQQJkWYIoSTFzV0GIDZPjuEu5Il4cy6rCxcoOyFxf3vtdCLIsl3TUnShQ4XAYNlvqOcFEJiYm0N5+PI1/3bp1ePVVHUXViB2XG264AQ899BCee+653HY6C6ZAZSFbca1iQ2TEdiYmJjA6Ooo1a9Zg+/btsFqtAGJJAMVyegBSR1DKfJfFYimoL1QhEVQ6YdKSqSdUthtwuroVJTnA7/djbm4OQ0NDcT55WvFaqfNbhQqUM/InENKfkzKJcAsvodF2acwJIhEGYDkOZYnHj0h11xdFERHNuc9xHILSYUS55mVxaUhs6llqJAqU2+1eEifze+65BxdddFFRHCtK92gvI7kU13IcV5BAKW7XExMTWLt2LXbu3Jn0tF5MKyIgvmGhIkxWq9WQ+a58BEprJNvZ2ZnWFimdEBVqJJsqOSDRJ29iYmJFz28VIlAhaRi+aPakB0/0FdSX7QJDk/r3C7GhwrKysvisTCJIsgxGmMKYa3kaSEqSVNK/ayEuEm1tbRgbG1P/Hh8fR1tbm67PHjp0CH/9619xzz33wO/3QxAE2O123HXXXbl9gRSYAqUhn+LafCOoaDSK0dFRTE9Px7UyT7eNYgtUKBTC4cOHUV5ejq1btyZFFYWsW69YJApTNiNZo7rq6iGTT57WbijRtcFut6ulB0vp2pCNQvbFGXlK13IyCfBG/oiKXDaTwkUCAMAwsaHX8gV01bYDTOwhLlO33cRot9AGkiuh1UaiQOmNoHbs2IH+/n4MDQ2hra0Njz76KB5++GFdn/3d736n/v/+/fvx+uuvGyJOgClQAAqrYcpVoLQGrpk6xmopVgRFRJibm8Pg4CDC4TB27txpWCddBT1iIQgChoaG4HQ6c3I4L1YElQuZ7IaU+S2Px4NgMIiFhQW1+FW5cS7X/Fa+AiVIswiKH+le3iO8jLVla3RvS9tqIzUyGJoAMZ0A9DeQVGq4EucXc2kguRIEStsLKheB4nkev/rVr3DhhRdCkiRcc8016O3txe23347TTz8dl1xyCV577TVceumlcLlceOKJJ3DHHXfgyJEjxfo6sf0q6tpLnHQNAnNBb4QQDocxPDyMhYWFnBrzAYUPIyZCRJidncXQ0BDsdjv6+vpw5MgRw8UpG1ph6ujo0O0dqFAKApUO7fwWy7IIBoPo7OyMK35NbGCoFa1iz2/lK1Ce6N9yWFqGSE4EqQKVejPv0kVQGlh5FBLbmXGZTA0ktfOLuTSQXAkCVYhR7EUXXYSLLroo7rUf/ehH6v/v2LED4+PjGdfxla98BV/5yld0bzMbJ6RALUVxrUIwGMTQ0BC8Xm/e/Y+MKnbVpq7X1NSoLd4VoV4qFGGan5/PydQ2kaUc4jOKdMWvgiCow4Ta+S3FNVvrSm7EuZqPQMkkwBvVl9kFAAxCACR4JA8qWX0ClT2CWrQ9ypNMx18tPk7TQDIajZbMEG0qVpuTOXCCCVS2zrVGonjThUIhbNiwAVu3bl22k5uIMD09jaGhIdTV1eHUU0+NSz9dqv1S2rvPzc3lFTEloiRgJD7VlvJNJB1lZWWor69POb+lPPFr22loXckVF+xcvnc+AuWLvgWJwrqXZ8gf+5zkA/H6tqcr+1LOX6DSoSRlZGog6XQ6EQ6H4XQ6YbVa44YKS8GxJJVAnXTSScu4R4VzQgiU3s61hW6DYRh4vV44HA5Eo1HVJ2+5bpjamqr6+nqcdtppuusijISI8NFHH6nClMvwZiYyRVCrwaBWO7+1Zs0a9XWtK7k2MUBr7qrcPNPNr+QTYXqjmVu1J28kAAAQISIgB2DndCTe6BjiY2gWoBDAlOe2PzmSmBijnLOtra1qA0m/318yDSTNCGqFkW+DwFzhOA5OpxMjIyMAoMsCqJjIsoypqSmMjIygoaEhrqZqKYlGoxgeHkYgEDBUmBQyDeWV6hCfEWjnt9auXau+LoqimpgxPz+fdn5LmUjP5VqIyi6EpOEc9lICEFL/8speXQKlZ4gPwGIDw4057E/hKF6PmRpIas1cUzWQ1JYiGH0vEkVxVfWCAlahQGlrmAYHB9HY2IiqqqqiCJNSN+T3+zEyMpKX00Ku28v0PWRZxuTkJEZGRtDY2IjTTz99WRy+FWGanZ3F+vXrUVlZWZQivkxJEiciPM+nTAxQhqn8fj8mJycRCAQgCAKICIODg+pNM9PTvj/6dk77wlAASmcnAPDLfn3DijoiKABg5RFI7NILVKZhvEyOJZn6PhUyVKuFiJIEaikKdYvJqhMoAOrFF41GizKxqaRnDw0Noby8HDU1Ndi0aZNhtUOpUFLNU9VKybKM8fFxjI2NoampCTt27CgJYVIiprGxsaLUAKVLHinlJInlINX8itvtxuTkJOzVlRj1H8W0exjWYA1qxBbYK+xJN02f+FZO22QQiPs7SlFEKAJbmnYcCnojKFYey+BjURzyzeLT00AyVQ1XoQ0kvV7viu4FBaxCgVISH4gIFosl7z5HqVCSDYaHh1FdXY2+vj5UVFTgyJEjhqaBpyKVQEmShPHxcYyPj6d1ociFfEUkGo1iZGQEMzMzaG9vTxrK02s9lCvKekVRRDgcVodNTIHKDhGB4YEj7Atwlk8D5UC4ZgHgvdhk+zQiAQFerzd204zOgGl6DxzHgV90I+c5Hkym4drFBAktATkAG5tFoHRGUAxN6FjKWIxOM083VJtLA8lMD6LmEF+JY6RPnjKnkyoLrthOD0B8sa4kSRgbG8P4+DhaWloyulDoJV1GXCZEUcTw8HBaYUpcdzEmi8fHx+F0OlFWVqYWYkajUczMzEAURdjt9pL2T1suJBJxjHsZ0Wh8pOMRnTgSPYgzmy5RHygWIs9iLlwDSRIhiRIEIYqQFFJ/U0WwOJ5bbKUhAYgkbdMv+9GAhqTX49D5IMPQ/JIkSmhZqjoovQ0kR0ZGEI1GwfM8KioqEI1G4Xa7YbVaUV5eDkEQUF6+dMenGKzKK1d5grZYLIhEki8UvUiShImJCYyNjWWc0zFKCDOhNC2cmZnB5OQkWltbsWvXLsNuvooA6rkARVHEyMgIpqenMwqTgtFNC5UhzdnZWbS0tGDnzp3qzVIURRw5ckSt+RocHFzsSWRVn1aNrCdaqQwIb8LDzKICyfVJkxEHjgVfw+bKnQAAv/guGIYBz1vA8xZo021IlhcdyUWEwxFIkgie9aHcKqrRLMswABgE5SBkksEy6Y977CzRF2kzNAliunV/50JZ7kLdTA0kPR4P3G43Zmdncf/99+Ppp59GKBTC9773PfT19aG3txfbtm1Lm8Wbb7PCt99+G9/+9rfh9XrBcRxuueUWfPGLXzTuOxu2phLEYrEgEAhkXzABURQxNjaGyclJNDc3Zx06M9rpIdX+BAIBvPvuu1i/fr0ue6Rc0WPqqgjT1NSULmHKZd160CaBrF27FmvXrkVLSwt4nocgCABiF7HNZkNjY6N6IRMRIpEI/H6/6iCgTFJrh0uUIZPVnmQRkDwYjr6XcZmjgdewobwPLCIIS+ndA5QeUNrrg5X9APFqwpK0aEQMAPPReVRxdrUHFMty8XpE0KtPYOUJSOyJI1DpsFgsarLFSSedhDvvvBM//elPcdZZZ+Hv//7v8f7772P//v34/ve/j+7u5ONVSLPCiooKPPjgg9i4cSMmJyexfft2XHjhhYYNLa5KgVJuMDzP5zQHpZ1LaWtr0z10VqwISmsoa7FY0NPTE5cdZCSZ/P5SCVMuF2qhAkVEmJqawtDQEBobG9UHhg8//FBXkoQ2LTixnkgZMnG5XBgbG4MgCOB5XhUsRcBW0zDhu76DkEhCJiWIygL6A29iXc7VCQQgADCLZR3abRAgsRJYxB7oIuFwzKEcUAVLlCTwHK9LqBjKbLtjNKUqUEByK5BIJILy8nKcd955OO+88zJ+tpBmhdpC4NbWVjQ1NWFubs4UKD3oTZLQOhzkEhko8Dxf0FBiItpsOGV/HA5HUSf+U4mIKIoYHR3F5OQk1q1bl7MwKeRbOKsM0zkcDjQ0NCRlJ2qHDrVRj94kCZZlU471R6NR1XZoamoKfr8/znZIm5a90qKteWES4+EBAJQ1Wa4/+BbsGYbjUsFAAJDmmmOAMMJJNXmK1Za0WLMoiiLCkXBsWHFxbktpXqg93qy8tAJVyg0LlbkoBY/Ho7vkpZBmhVoOHz4MQRBSRmn5sioFShtBZYpstC3EOzo60NPTk9cJaFQEpRXKREPZYg8jchyniohRwqSQawSlmNk6HA7U1tamLTROJ3yFZvFZLBbU1dUl2d4obTW0beOVfkTa+a3lSPHXS3/wDd3LihTBUHgYbWU53CYo85B6iEJJ81Cx+S0+lmwky+B5HmVlZcfnt0QJ4UgEUjAIIlJbxbPcKAJRNyoqqpdMOEr1gSQxgvJ6vUuawTc1NYV9+/bhgQceMPS3WJUCpZAuggoGg3A4HPD5fGk7teZCoQIViUQwPDwMp9OZ1ul8KZoWKiauExMThgiTdt16BIqIMD8/j8HBQVRVVWHbtm0Zs5C0QpTY4r0Y/aBStdXQpgRrM6u07g3axpfLSUDyYiIyEPtDx+GRKIAZIYJWC6f7+mCyCBSBEKJQWnfzWJr54u+YYn4r1ipehiSJEKUoZibfxoIntq6lcGsoVQrpBVVIs0IgJoYXX3wxfvKTn2DXrl36d1oHq1qgEm+MWgPXrq4u9Pb2GnIC55tmntigL5N5qpI+XQwkSYLP54srsDW63iObYDidTgwMDKCiogKnnHJKXF+bdGiFKJ8hPiNIlxKsdSd3Op0IhUKYn59HeXl53DDhUt5EB4PvQDkserLlJPIiKsvwSTKqeT3nAwEIZl0qKAfTu5tnm3tiAJZjwXJlsADY2F0BmdsR59bg88V33E3lT7jahCtVu3e9EVQhzQoFQcCll16Kq666Ss3sM5JVKVDaJ2kg9jThcDggimJRDFxzjaC0Q4sbNmzQ1YKD4ziEw/qdpPUgSRJGR0cxMTEBq9WKk046CS0tLYZuA8g8B+VyuTAwMICysjL09vbm5MZRyv2gtO7kVqsVwWAQHR0dCIVC8Pv9KW+i2mFCo5sYihTFUEibuZdtDoogLhbbzkWjugQq4/yThqCcXsQIuRV0s/IEZC7eraGpqUl9XxvhahsXKokwWuHKlAiz3OdTNkRRjEshz6VIt5Bmhf/1X/+FgwcPwul0Yv/+/QBiXXW3bdtmyPdalQKl4HK5EAwGMTg4iK6urqKNyeoVqFAohKGhIXg8npyHFo0c4tMW+ra1tWHXrl1xIb7RpBri83g86O/vB8dx2Lx5c1IEone9K8nqSOvVlngT1TbRGxoaUnsRJd5E8x3fnwgPQJD1J/LIFAFR7JyeF0V0EoHL6qOnr6QjKAfTO4vodJJQYGgy4/vpItxoNKoe8+npafj9frVeLrFVvHKelXLUtVzNCq+88kpceeWVeeyxPlalQAmCgNdeew1lZWWw2WzYtm1bUSdRsyUwaOe8urq6sGXLlpxPdiPcKrTClFjoy7Js0ea4tALl8/nQ398PIsJJJ51UkLnuammrkar7q9KLSBkmHBsbU2v6EocJ9RiMjoQ/jPs7pt/pPyNprIokIrhFEQ1Zorps808KMmSEKYzyFC4Qer34FFh5IvZlcryeLBYLamtr427iSr2ctlW80kbDZrNBEATMzc2V5PxWKoHasGHDMu6RMaxKgVKGiyorK/H6668jGo0Wtd1EuhM1EAjA4XAgEAgUPOdVSASVSZi06y/WzV5pef72229DFEX09PQYEs2mi5SMKgxeTrS9iLQtHZS5Fr/frxqMOsMe8ByHJntD3NO/MkwYlgKYFUYStpA5IpASvPQWsgrUYv2TToJyEOVsCoHSJEnoXBMAL4DCXbsztdFwu90YGBhQIy5laFbJ4NR64y2HcK3GXlDAKhUohmFU52Bl+G0p+yElJmOsWbOm4JM2nzRzxUx2bGwMLS0tGa2RWJYtShKG0kJblmVs3bo1rmNsoazElu+Fop1r4epseHl2ABPhORABLZwLZ9NmBGYCastyq9UKj30CYT4CftErL7tVgwyJ4ueJXKKUcZiLQQSA/vMzJIdSv5GDk4QCK09C5orXVoJhGJSVlaGioiIuKkln6srzfNIwodFziokkCtRSp5kXi1UrUApGO5pnwu/3Y3BwEJFIBN3d3YYmY+QSQWldzpubm3V59hkddYRCIQwODiIQCKj+YUaKE7C6hSgb7qgfj0z+BT4xJiQMA0zLLrxAH+Cqnk+gnLOqQ1bPzb8OOSohFBLUc4godk4pZq+xIfDYuSol9HICAJEIXklCTbrzSOfwnkKIUgtUrkkSgOJsviWnz+RKKheJbPNbysOZ9mFBm1FoZJt4M4JaYSg3r6UwcvX5fAiFQvjggw/Q09Nj+I0Y0CdQ2r5Qzc3NObmcG5WEEQ6H4XA44PF40N3djcbGRrUflNGki/pWu3BF5Cge1oiTFqfgweNTL+LKtgvAMiyifBAh3otyXpu2T+p8VjQaRSgUhizLiwWzHMC7QKy8KBTHxWJBFNMKlN75JwWBBIgkgmcS1pdjkgQQi6CK3RsqF5ujdPNbiXOK2jbx2mHCfOe3tJ/xeDwrvhcUsIoFSqGYEZTX61XdssvLy3HqqacWLZTPJCBaYcq3L1ShEVQkEoHD4YDb7caGDRviEkGKlYChCJEgCJidnY2zH1rNAvV/C+/DHfWlfX88PIf3fUM4pbr7eGFuHIwaOZWVHR/6JpIhihIichCSLANEi/kHMVfy+QihnecWH3oSHV6z1z8lEpJDqOLio49c3MzVb7MEvaEK9eFLN6eobROvOJSEQiE14zPf+S1ToEocbcsNowXK4/FgYCB24Xd3d6O2thZvvvkmRFEsmkClSqk2QpgU8o2gFPcJp9OJzs7OlKnzxZrfkmUZc3NzmJycRENDA5xOJwKBgOrkoPSDWk0u5fOCB4c9R7Mu96LzHWy2r8dEOJVApYZhWPAWEYIogdfcGhRX8rAswxUMokyOnYex/k88LLyIMnZxlCKHQxyUg0kCles6AIChOYCiAFO8eZ5iGcWmaxOvzG8pRsbapoV66reUBp4rnVUrUAo8z6utFQrF5XLB4XCAYRj09PTEWYksxVCigizLmJiYwOjoqCGddIHcIyitoW1HR0dGFwyj57eUAuORkRFUVVVh+/btEEVRFaDJyUkEg0FYrdY4l3LFfkj5Z+QcwFLx3PwbkCn7g4RfCuLgwptwiTMp30+XZi6lGKpTIigAEG1WNJaVHTd4lURIohciKyYtz7CLbuZpBCfdPFTuyGBoBsSsM2h9ySy1k3m2poVKtOX3+xGNRhGJRDAwMICxsTFYLJa43ywb+faCAoAHHngAP/7xjwEAt956K66++uoCv3k8q1aglB/HYrHA6/UWtC7F7YDneWzcuDFl7c5SCBQRYWxsDKOjo2hqajJEmBT0RlDaZoXpfAMTMaphoTZibG1txebNm+H3+5O2z7IsysrK0NzcHPe6Mgfg9/vj6oqUXjpVVVUlHW1Nhp1wBDMXpmr5P9c72GRPV2Cb2kkiMb08EY8ooaUs3uCVlSWotxI6HnHJ0vE+ULHprFjzQmbRKDYkhwwrgGVoEoTiClQptFxJ1bQwHA7jww8/RH19PQ4dOoSnnnoKY2NjOO2009DV1YW+vj5897vfjRtaVCikF9TCwgL+6Z/+Ca+//joYhsH27dtxySWXGDq0uPxHvMgoQz25QkRYWFiAw+GAxWLJ6nZQTIFSGvUFAgGEw2FDhUkhW5SjRC2Kw3kuTRMLLajV9oNqampSkz/m5uZySjPX2g8pyLKspgq73e64VGFttFVZWbns0dZh94fZF9LgjXowGyG02PSeKwRJzpzs4JES080T6p/S9IECYr+jTDIgi6onoEt0oYIrB7fYViNfYqnmeX88K4rLRCkiSZJ6bu/btw+XX345LrjgArz22msYGhrC+++/n3bfC+kF9cwzz+CCCy5Qr6cLLrgATz/9NL70pS8Z9t1WvUDl2rSQiOB0OuFwOGC1WrFlyxZd/nBGOD0kou0g29TUhMrKSvT09BTl6T5dBCXLclKRb6436nyH+JS2G4ODg6ivr0/qB2VEuw2WZVUR0qL0hPL7/ZiYmEAgEIAsy0mtNaxW65JEW14xgA/9o7qXl0lGhMKYDLNotvJJ+5hqiE+mMChLPpxEFGceyyAMZMuhW9wMwzDgoDl3CCCOAJmBEBUghWL9oLwej9rAkON5cFx2N/VslkeFUsrNCtM5mbMsi+7u7oz9mQrpBZXqsxMTxiasrFqB0g7x6YlslFYPDocD5eXlqhOFXoyMoLTC1NjYqN6YFxYWijbUkCgi2nmuXFPWs61bD06nE/39/aiqqsJpp50WZ4SpUMxC3VQ9oRJdHCYmJpYs2nrNfQwE/ccwvGjI6pdk+EQZ1ZbE/Uk+PtmG9xQ8knjcPDbH9PI4GEBgBDTYjg89ud1u2KuqIIkSRElENBSCJEkgxB6iOC6WRZjYLp6VTYFSWC01UMAqFiiFbBEUEWFubg4OhwN2ux19fX26Wj2k2o4gCIXsKmRZxtTUFIaHh+OESUGJcoohUMq6iQiTk5MYHh42bJ4rF4Fyu93o7+9HWVkZ+vr6Mj4kLLWThNbFYe3aterr2g68k5OTagdepb5FOa75zreIJOEd72BOn4loHMMnI9EUApVsX5cqQSIVblFC++KIUa71T4nEOUos/mYsy4ItY2GBJe49SZYhiWKs4274eO0Wx3HguTA8oTFU2puLkkm70gRqKXpBtbW14cUXX4z77Lnnnqvrs3pZtQKlrcFJdbPSdm2trq7W3YMoHYV0vFWEaWRkJGVrc+02itm0MBqN4tChQxn3IR/0JEkoJrIAdLubl0I/KCB9B14l2lLcBFwul5omrI22sj1w9AfGEc7BiZwIiGhu/E5BhEwENkkctX8n2xulwy9JkIjAMbn576UiTGG1wy4hQ8faRSHiOA7as5KIYqIlSfC5PoRjaC7OtUGbsVmIYfRKEii3261boArpBXXhhRfi5ptvhsvlAgD8+c9/xp133pn7F8jAqhWodBARZmZmMDQ0hJqamqxdW/WSzxCfMvk/PDyMhoYGnH766RlFoRgCpRVqSZKwa9cuwyeDMyVJBAIBDAwMQBAEbNy4MaehiVJut6GtbwFijvadnZ0QRVGd25qcnMQRzwymhCC6Kuuwqa4JNVXVSW7Z73kdOW1boDBkzXCgSMBCVMKasvjaJq0UxMRJ3zEjxESqlheAHIYdU6+LEKFIzNk8DxcJhmHAWyzgLRZ0tvNo33BanGuD0uk4GIyJr5KxmescYqkL1HL0gqqvr8dtt92GHTt2AABuv/12w110ThiBkmUZ09PTGB4eRl1dHU499dSU8xr5kotA5SpM+WxDzz5o26ufeuqpePPNN4uSqZRqiC8cDmNwcBA+nw8bN25MmQKbjZVoFsvzfOzmUWHFA+5+zPA+gAOOitP40BvCp2m96pbNcRzYCgvelxyx6IHnUkRByURSNASci4hxApWI3vknBY8koZYrLHpSCMkhlLPlObfaSERJlMjkBK9kbGrnEPVEtaUuUMvRCwoArrnmGlxzzTU57rF+Vq1AKU9FsixDFEV16Gr79u1FuQnrEQ+tMNXX1+e8L0ZEUEr6fK7t1QtBK1CCIMDhcGBhYQHd3d3YunVr3llw2shMO79TygIFAAFRwL999Apmwot2RUzstx0V/fjf6DT+YesuWLnY+fTXmbcBV8z0VQyKICJwbEyseI4Hz8eSBbSHMJxCoJyCuDgsp1lQ8796558UvKIExmKQQCkFu3lEUFqyJUpkythM1bzQZrOp0Vah88vFJJVAabPrVjKrVqCUos6RkREQEfr6+gpqjpeNTGnmRITp6WkMDQ3lJUwKhQqUIkxWqxUnn3xyTlmKhcCyLERRRH9/P2ZnZ3W3uc9GpgiqVCEi3Dfw2nFxSmDIv4CnJo/hM+294HkeDnk2LtInOv7QJUkSIpEIJFkCg9gcDcsDUURix0BzHCQAC4KERmvyJU8QIVM4p+/hlyXIFABrwKFWEiUKj6Cm87I8SmfuGg6HVeESBAFvvfUWAMTZDJVCYfdqbbUBrGKBYhgGgiBgx44dOHr0aFE76gKpIyitMNXV1RUcveUrUEqzNY7jsGXLlowJCEa3tlaaJXq9XrS0tOhyntBLokAp+17KEdTrC+MY8DszLvPCjAPb69tQWcZhJrIQ9x7DABzHguPih4SJAFES4Y96IMsxBweltZJiOTQXEdBojfWD0tZByXlk4skkwidzqOEKH3IWSIBEmftN6dwrwyyPGIZBeXk5ysvLsWbNGszNzWHHjh2QZVltpaG10dKWGijCtVRDgmaaC9TVcQAAIABJREFU+QpEKVJTWm4UuyeU1rFbScRwOByoq6tLW8eTK7kKlNfrVU1t9bRXV4bijLiwtLZELS0tsNvtWL9+fcHr1aIIUaIolapAhaQo/jj2QdblCIRHRt7FWc36LWMYBrDwPIii4GTlsiaAAHkxxX0uJMAtR9Sh0UgkAovFAplN74yednuQ4JV4QwSKQAhTGFYqK2iIDyi+5RHLsml7QClJGVNTU3GlBtqkjGK0ijcFaoWzFE0LlZuiEjHV1tYaJkwKHMfp+h5+vx/9/f2QJCmn9upGCFQqWyKO4zA9PZ33OtORKX29FAXqmcl++ER96eLjQTdemJ0Dm8MVSkSIyNqhuphRqzaxgqksRw3PwuP1gmEAQYhAZN0giMdNXpmYs3nmG6kIj2RBO3IbGkxHSA6hDGUFDfEBACtPFNXyKB3pSg3C4bAqXDMzM2qreG3jQmWYMF9kWY4blTAFaoWwVE0LlYgpEAhgYWHB8AxBBY7jEA6nvyEoKduRSAQbN27M2bRRidDyKXTMZktUDBiGgSRJmJubw9DQEMrKylBVVVX0erF8CMkiXl4Y1r28IEt41+XEx9bof+IWKAzKkiruFETUWKyLmW42gIkiJDEALLHPEkGWCbIsqYWzWBwiZFmtQ7YMn8Qv9ovS/bXSEpbDqEG1IRGU0eT7sKMdJkxspaEMEzqdToyMjKgtYrTDhHodSRKHRldLLyhglQuUQrEiKG0NUU1NDSoqKuJMFo0mndAGg0EMDg4iGAyqHX3zGUbI1zNPjy1RMfB6vfB4PJiensZJJ52k1hi53W64XC4cPnwYVqsVdrtddSovxhCLHt7yz0KQ9T8k+aUQfIIEryChJkViQypSpZcnshCVELMFjbmZizieXh5rjcEg8Z4Yc8GQIcsEIgkMJLAsgRjAJzKo5mUo0Vq+hCgEWnQ8LwRWnoBhqrmI0SnmHMehuro6achd23FX6/+oOJIowpXtHA4Gg0uWAFVsThiBikT0V+JnI1GYlIjplVdeSQq3jSQxMtDWEnV3d2PNmjUF3XxzjTxysSUyEr/fj48++kg1b+3r64MgCCAiVFdXo7a2FrIso7e3F5FIBH6/Hz6fTx1i4ThOHV6pqqrS5eZQCKIs47BvGtApNAAQEGOZbeP+qG6BCsvZ+ysFJBkh6fhDiCRnr3+KDfspN2gODCSAGBAIPsmCSiYUN/+n/adXtJQW8IU/PAQBuAEYF0EsVQ1UKrd9rSOJz+dTa+SUlPnKykpIkqRGYMrvUOyksKViVQuUcrIblSSh+PYNDg6iuro6yYVCiXCKNbSlCIi2vXpXV1dBtURa9EZQ+dgSGUEoFMLAwABCoRA2btyIqqoqvPHGG0nLaZMnbDYbbDYb1qxZo76vNH3z+XyYmppCIBCAJEnqk6oSbRnlVP6ufxZ+KYoKnZebKEsIy7G6G1dYRFiUYeMz33BEEiGSvnPcFZVQSQBAeWXwAeJiwMTAhzK08Ys1Quo6Y201SDo+NKZkEmZqYhimECpQeE0eK49D5laeQKVC60jS1NQUt0+BQAAeTyxr87333sMDDzyAI0eOIBgM4qGHHkJfXx+2bNmSMXM4W7PCSCSCq666Cm+88QYaGhrw2GOPobOzE9FoFNdee63aSfyqq67CD37wA8O//6oWKIVCh/iyCZOC4sdXLIGSZRlutxtvvPEGNmzYkLK9eiFki6AKsSUqBKW41+Vyobu7G42NjWomWj5OEqmavmmfVNM5lVdVVeXVhfd1z1ROywek4/OMBGA2GMX66szlCXqG9xQWBBGVIMgIZZ2zSkaC1hLJq52HYgCAOZ6UoRymtE0M46OtMEVQwRYehTM0DqCv4PUolKKLhDJMaLFY4Ha70dfXh23btmF4eBhf/vKXMTMzg+eeew4ffvgh/vSnP8WJm4KeZoX33Xcf6urqMDAwgEcffRQ33ngjHnvsMTz++OOIRCJ47733EAwGsXXrVnzpS19Se0cZxaoWKG0ElW/TQq3TeTbfvmIlYyjt1WdmZsCyLHbt2lWUED5dBBUOhzEwMAC/35+3LVE+aLv3piruNaIflPYzqZ5UtenDY2Nj8AUCeNPjwtsBP8osPLpq63Fl38fQmCaKnA75MJamKDcdfik+EWYmKKK9KnMxaETH8J6CW5TQxlLO9kYx4h9gosQiTCzKmQyRd9omhppoSyb4JB/K5XJVEHidvaASYeXxbB2qcqIUBUpBm2LOsixqa2vR0NCA//f//l/Wz+ppVnjgwAH88Ic/BABcdtll+Md//Ed1dCIQCEAURYRCIZSVlRXFCGFVC5RCrhGU1qfObrfrtgMyWqAS26vv3LkTb7/9dlHnuLQ3fG3k0tXVhd7e3iVJMFBqqEZHR7Fu3bq0xb3pHMyNrIPSpg9HJQn/35uvYYgkcNYyREQJ783N4Na/PIO/q29EZ3VNnKdbRUUFXpnX32QQiNUshaT4+dKwJGdMloill+sXKImAIAG2PIb3GCSf316JRzmboxVQYrQFQGIk2BgbeAsPabGlhiSKai8opYEhz/Gx8yGd8TkZ2zRvpQgUEJsX1juyoadZoXYZZeTB6XTisssuw4EDB9DS0oJgMIh//dd/NdwoFjhBBEqvcOQrTLluJxuJ7dWVGzQRFTV9Wik2FkURQ0NDhtoSAdldKpQ6MofDgaamJuzatSuv5IViFOoSER49egRDHncs043nwfE8rIgNvb0OGXt6uoGIoDpo+wIBPOUbQBgSGIZBNMqD43iwGfyBglLqVPGZoJhWoPSklyfikWTU5mhvFAt7ks8/n2TBWkvhXnUiRMicDIvFEl/qsNgLShRFiNFoXC8ofrFVvDbaYsgNkA9gjJkbLXWB0u7bUtVAHT58GBzHYXJyEi6XC3v27MH555+vRmNGsaoFSmsemgltN91CDFQLFSjFFmhiYiJle/WlcEhQHDDa29sNtSVSBDbVb6Ec/4GBAdTW1uL0008vyBKqGMfp5fExHJ5KX2PjESJ4vP8jfHPbaeoQ6HvuaZT1T0MOhRAVRUQiAiQpCJIJrDYi4Dlwi91hE4f3FJwhEXJtqp5OuQ3vKXgpnwed1J/xysbdRsIURiUS5qE0vaCgOS9IliFKUspoyzl3GLztFNjtdthstoIesEpdoLRi7vV6DW1WqCyzbt06iKIIj8eDhoYGPPzww/jkJz8Ji8WCpqYmnHXWWXj99ddNgTISIoLT6cTg4KCarlyIs3e+AqW1BSq0vXo+aI11a2trk4TRCJT5rUTBU1LVrVYrPvaxjxnirG60QAWjUfxpsD/rckecczg8NYkzWmMX+evOCTAMYmIEoKJicf6ScLw77GJWpixJAMPAw/oRq1FiwWgiLZEI7oiEelvyeZFLgoRCQJYhygx4Vv9xSjW8BwAhmUOUGFiYwo95BPrLQRiWhYVlE6ItQJIlCKwbs55YlmY4HE5qqZGLV16pC1S+EZSeZoWXXHIJHnjgAezevRu///3v8fGPfxwMw2D9+vV4/vnnsW/fPgQCAbzyyiu4/vrrDf1uwCoXqMSnJuUJXitM5eXlhjl78zyf0ekhEVmWMTk5iZGREcPaq+eC1pZo7dq16OnpKdrFmJjQoNgxybJseKq60QL1zNAggqK+Ocz/dQxge3MLJJJxxJPG3klj+KrN9wyKETAhXyzbTZYgS/HZbtO+MGossc6wyqktkYiozvTy4xDAyPCKPOrLcvls+ocvn8Sjni+wlINiEVRBLLYuqavywd5w/Gle2ygyVWmB8i9VtJWvu8pSUOxmhV/72tewb98+1QDg0UcfBQB85zvfwVe/+lX09vaCiPDVr34Vp5xyiuHfb1ULlBalFsrn82FgYMBQYVLQ2/Zd2xdqzZo1S2ILlLj9VLZE09PTRet7o0RQSkZgIBDAxo0bizKxaqRAzQeDeGlMf6LDQjiEQxPjqKjkIMi5DaMF5fBinVDsAUHN0l5M0XaGRfj8MQFjGSZ2TrNhEOTFaEvfMBZRLFXcK1pyEKj49PJEvEYIFIAwwoY46jMU/5spjSITW2qkKoJVoq3KykpUVVUhGo2WrDNDYgTldrvR0tKi+/PZmhXabDY8/vjjSZ+z2+0pXzeaVS1QykmuXOBvvPEGKisri9YLKdsQn9blvJC+UIVcwMpcTypbonytjvQyMDAAr9eLnp4etZap1PnLyBAkyu2YPD00iPbm3IcqA2Lq6EF1ZQBA1nLU2XjIMsWiAtEVVxSr9IFiVSeHFHN+i3NJHlF/VJBueE/BK1kA5D4XlghBRoQisDGF2WUxtJA1USJdaYFSyK00MJybm8Pc3BwmJyfjoq3lss3SkmoOatOmTcu4R8ayqgUKgDqUFw6HsXnzZqxdu7Zo20onUNpC35qamoL86pRi2lznqPTYEhXDZFWSJIyMjMDlcmHDhg1Lkqpu1PoDUQGvTuWesuwKhzE+6USNXX9ULMgSBMoefc+FRNTZYpmAFgsPmURw6mVMIHmxIDZNTyiGZUCLYhOWOAgygzJd81CZ980vc5AJBjQwZBCSQ7Cxhfs5svIYZC53b8zEQm4iQktLC8rKylI6kye2i1/K4cBUc1CrxSgWWOUCpcw1bd26FWNjY0U/cRIFSjvXVVlZmbXQN5dt6BWoXGyJjIygZFnGxMQERkdH0dbWhqamJjQ1NRVNnIqx3r9NjCOax/HwiWE4w2H8/+y9abBc53nf+XvP0t23u+8C4AIgwBUEARCkSIqbRNGOoljMKJImsl2JbY1HlqdmnPGkynbGKpeSjFRlVb5Y0Qd/cCWVTKrsuOy4bClUbMZywqEtRhQ3gOAOgAQvtovtAhd3673P8i7z4Sy939t9F4om9LDAC/Q9fbY+/f7f53n/z/8/UXCHPq+GGi77WPFkmkH7PfTyREqoPTo9obSSGBE/o8ZQCmx2ZoP4PAedqwJWvw8GQU07TGzAHyq5loZpsG0TtPSEuQBsXLw5mRCupkxerVa5fv06tVotXRdKSoSFQoF8Pr8lz+iH2QsKPuQAJYTg0KFDGGPeF0+odoBK7NVzudymlhSHzXLWI0u0GRlUexlz586dKfHj5MmTW1Y+NMawvLyM1prx8fG+E5Gz15d5+dxlitkMd980zd17pvvsqRVSa344wtpTe1RCn2aoaPiKQh/WXb+oD6CXd0egDdVQM5Gxh2TvdXpCGaPQxkIbjRBQkS47XC8ug/fKD0WD6nDPREVtDKASrG2ugzbfLyx9aVMUJZRSA9st+imTG2NSkeJarcb169dpNpsIITo8oIrF4oYnzd3VlEql8uMM6m9TJAvm7xdAeZ7HsWPHcF2Xe+65h2KxuKnHWAtENiJLtNEMKlnfmpiY6FlfGyRLtNFQSvHqq6/iui6O4zA7O4uM+2ISiar/PnOZt+cW0vc8f/oCT9xzJ//g3rsGzmpPLFyn5I/OKNPGUAsjosly1R8KoFQf9YjVYtmTjLs2nhqdXp6U9+IOQaoqi2U106WqZL22vUzo2D4R84/4Xf3FXsvK5ZZNMDD0jY8yCltsjE1q6QubYr0xakl9kEhxkm3VarXUw0xKmVrCtK9tDdt/2M+s8McA9bcwttr2vVwup2aBH/3oR7dM4XsQQCWyRMvLy+zfv39daz3rzaDK5TIzMzNkMpmBTc6bTcBoNBqcPn0az/PS/ikpZdoQ/MorrzA+Ps5fvjXDkdmrKB2pOTixVM7/9/Zp/FDyMw8e7rv/I+tYewKohj46TgXKjYA9au2SbqQeMXwse5KbiwK1xrpQb+iYwdeKQFv42iJnR59NOyEjeY8wbfw9Q3R9CV61gdZmGhg2dZOivdHJXR1YBjamHblZFjqDsq0gCKhWq9RqNRYXF2k0GimBIykRDuu6W6vVNn1S/KOMDz1AJV8213VpNEafca4VCW1da81dd93FyZMnt9R+ohtENlOWaFQQqdfrnD59Giklhw4dWlUscrMAKggCzp49S7lc5sCBA9TrdcbHxzvuiRACy7KYrQWcXK4xPhF9HsZEzDclFc1mk+8dO45evs7de3amFhvFYpGm1ry7uLiu86uErUzIGCjXA4rZ1Qe3xPtp2KiHmnI4uo5eNzglUZYuOXtQBhem1hpAy5cwRqxk3SgSfYVKYCg6OnXgXa+RYcM0KLLxgdbSF9D2BwOg+kXkbJwlm832ZFuNRiOVzUpcdzOZTEe21d1OobX+wDYVryc+9ACVhOu6myrk2r7Gc9ddd71vaXUCUO16fZslSzRsBtVulDhsGTHJbNYbSilmZ2dTZfPEamRQz5OvFH/99kzHa0KIHp2343XD47tvwgR+WnZ5ZXmRUqWMYzuRxlubFNFqYYyhKjsH+lI9oJgdzEgzBhojlPeSWGx6TIzItzEDMq6KdNmd7X8OA+nl7eU+WllTXeSYEF6sGznYWmPgvYxf37x1qHNo+6EN7+f9ppPbts34+HjHZDfJtpK1rcXFRZrNJseOHeOll16iVCohhGB+fp6bbrppzWOs1wsK4O233+ZXf/VXqVQqWJbFsWPHtsRJ+4YBqM0q8XXbq/cbnDej0XBQWJbF9evXOXPmTF+9vo3ue7UsJwxDzp07x9LSEvv37x/JKHG9GZQxhitXrnDhwgVuvvnmHiAeBHyvXytRC9Y+t4rnc+TidX7mwbvZs2cPxhj+28svUFAhSkbCuZ7voVXUDNsOWo5td9SzajJAd51Lw1cEUmMPOBVPB6g1GHLdYTCs+GZEgDKYATT2ihxUmlubvdezL+2y1/J7rDVMTIHvMDIULeCyROfkqqEbm/I9svT5Db3/gxTt2daOHTsIggApJffffz/ZbJYXX3yRcrnMl7/8Zebn59m9ezdPPvlk38rGRrygpJR86Utf4o//+I954IEHWFpa2jKG9IceoNpLfBvJoJrNJmfPnqVWq61qr77ePqW1IlGfuHjxIuPj41ui1zdosG/P1m6//XYOHDgwcrY2Kkki6R07c+YMO3bsGCgDley3/bNYrDU4sVBhfEjRzJfPXuJTh+5gKp/jcrXKfKOeipNmsq26v4mbY6WShM0AGWebiejrivT6LspXGiHbCv0/q9qQ9PL20EbRCEbrOxoETgBSWzS1Td7uzJ7Xas7tF5V+61BxiVAkKG3TKhEagzEapVVUgg0j23ctNPWwRsEtbgikhJkD48EGG38/iJFQzC3L4v777+e2227je9/7Hs888wwQCT8PWm7YiBfUM888w/33388DDzwAsKX+cB96gEpivRlUwgYrl8tDkQ9G7VNaK7plie68884tAcB+0a4VuNFsbZQMqlQqMTMzw9jYGA8++OCqvWNJia8dMH/w3ix6hGqi1Jq/eecc//iRe3htfrD7rbAEbsbFpQWUiQWKDCWVwEMm8kZpZiAoN0Km8n3umxmsHrFaaBPlXPXAZjw7HKnFsPqzXw7dLoAysMZ7+sVQBobQKhGKlrSTCQ2O46QswkpQQTWjMqFtWbHyu4Nj21hDlFyT64jWodanrrDV7gEbiX49UO1K5quJEmzEC2pmZgYhBJ/5zGdYWFjgi1/8Il/96lc367I64kMPUAmYjMpQa2fF3XnnnRw+fHiomdxmmhb2kyWan5+nWh3NoXXUaO9lmp6e3hQR22EAKiFdKKU4fPjwUGST7jWouh/w6uxgW4xB8crsFf7e3Xfw+ioANej4juPgo8G2cOwIKFOqtjH4gaJSb8YDio0dlwmV0IRDqEd0hkHH3T21oQGql73XHRXp0KngJllNe2+1KCuXMWv0dTWgw31XWZrJzGSqUK6kTFsIVvOD6tmlOQesD6C2kiCx0VgLoLbyuC+88ALHjh0jn8/z6U9/mocffphPf/rTm36sDz1AJTFsmSAMQ86fP8/i4iJ33HHHyKy4zWh2bbeg6KZtb4UcUXtIKTl69Ghfrb6NhGVZAzNY3/c5e/YslUolJV2cvrTA0VORGvjj991OPtefYttdlnzp7CXCddwfpTVPHX+PlRHU6NujGnYOyO10bS0EoXYYHx+PWIQqsskuqRohYZppdVts9D1Po1LYqPk2prg2rbsXnHqBpyrdjpKhWEf2lERZOdzkrhOg2qJ9HSotubb9fjU/qCTTsh0HS59fd8PuB91qY71uuhvxgrrlllv45Cc/mbIOP/e5z/H666//GKDWE8OCi5SS2dlZ5ufnuf3223nsscfWNXPaSAY1jCzRVgFUpVJhZmaGIAh4+OGHN11Mt9/6VrulfZKlGgN/9eK7/PCNc+l2z795jn/8U/dz3/5eleb2DEoqzYtnLvVsM2z88PQFCjdlV3W87Rumk17eL2qeRAjIZFyIS4QrzSaudqNsS0eNsVp19iN1KjpE5b0kAi0IlCDrrJ7prFXeA1BGUFcO444kIkas/xmrKHf0fqg+lyCRBCYgK/oLKvf3g4pLrkoRhCGq6SHVG8zMv8r4+FRKz87n80N9v/82AdQoGdRGvKA+85nP8K1vfYtGo0Emk+G5557jN3/zNzf12pL40ANUeyQL6u0PppSSixcvcvXq1U2ha68HoEaRJdpsgGo0GszMzCCl5MCBA5w8eXJTTAO7o73E163T137P/+K54xw50Skx5PmSP3vmTcZ/JssdezrtOdrJF+9cXaDqrX/mvlhvoKswOTla1uhpuaa1RqAMXqgYy0RfOakVvo4UJ4RoEQjsZD2mj6IDgLLani0hqAU2WWe1523t8l4SFRkB1EayJ4Bg2HWoIaKhG2StERT/hcB2HGzH6VAy+cj2IpX6trSvKGmGXUt66IMOUO3Nu5VK5X3xgtq2bRtf+cpXePTRRxFC8LnPfY7Pf/7zW3KNNxRAJeCRyWQ67NVvvvnmTaNrjwJQ7d5Igyjr3bFZANWvrAatjGSzafJCCJRSzM/Pc/bsWaanp3uYiO9duN4DTklIpfmj//Yqv/5zP8m2iRaAtmdQr5zvUn9IpLyHiHoYEhpNqeQxMZEd6forwXBlwUo9TAFqLfZer6JDZE6o2sZ8ow2VpmAqI7t6jFrvMwPNDHuvrxy63Jxrsh5yRHdUNrIO1RZ1U98U4dicM4u74+6O79gg6aFcLtfRCPtBXoNqn0yWSqWOZt+1Yr1eUABf+tKX+NKXvjTiGY8eH3qAav+Su65LEARcu3aNS5cusWfPnk2naw8DUAkBY2Vlhf3794/kjeQ4zoYAKgxDZmdnWVhY6Ev+SABws7+UjUaDubk5giDou7bV9EO++z+Or7qPejPkL194hy9/7pH0tQSgSg2Pmfml1sYj4mvFjwZT35d4nmRsbHhSyFrlvSTKjYBdU5Fja21E9QiIy3ttn5UQ0FQOCAvosthIwSpgWKSuKQdlJM4mWLeXlMPuUdeh+pxiXdc3qR9qBsU/6HhtkPSQ53lpM+zy8jKNRoN6vb5uy/itiu4SX6VSYf/+/T/CM9r8+NADFLRm777v8/rrr7N3794t6SOCCEB8v/8XMwGHjcgSDeva2x3tvUy33XbbwDU227Y3VTOvXq8zMzOD7/ts27aNj3zkI323e+71s5Rra2ciJ8/Nc+byInfdEs0Uk7WtVy9cwYyQMXVHpe0zq1b8oQHKVxJPD/d5+KHGDzWOA009mnOxaWPvdb4uaEi3i80XKZMbHaaNwwadCsQm23TfLGOgJmFqE3ouy+tYh+q3qTRyUwwMI+FYHwasZ6XnIESHrUaxWKRWq3HrrbemthpXr16lVquhtU4t4xOprGx2tOx7I9EPoD5MQrFwgwDU3Nwc58+fRwjBwYMHh5IBWW/0K8F1g8NG1rlGLfG1KzHs2bNnzVKmZVmbVkJsV1W3LIu5uf7074YX8NLx2aH3/b0X3uE3fv7vYFkiXYM6eu4y2ugORQKD6VQ0GBCNuLyXRLXqM72zMBRZYtjsKd13M8TNjz7B0EYOJH330s0FQoCxFMIksCRImAgmFn81pg20BAgM5TDLlLtxRfLQWDS0TcEe5Vnqf7/rur4JBoYqlj3qLw488F3xGlS3iSF0WsaXy2WuXLmC7/s4jtOh7VgoFLakTPhh94KCGwSgAB555JEOWuVWRXuJT2vN5cuXuXTp0qbJEg07O2tv8F1NiaE7NirqmrAhr1+/zp133pnKIVUqlYH7fen4Bfxg+IHs6mKVt07P8eChiBb71plZTl+6kpb7bCvKAoMgwHVcLHv1waESdIKM0oZ6PWB8fO3F+W56+VpRaQRkM6OvzahViA796ea6j3pEoptnwLSvcaWSr5TCLLdq06NUvp7MtKzcoQHKrNJzVdd1dmxQkRyiMt96AapfDLKMD8OQWq1GtVrl0qVL1OuRsG+iTp4A1zDq5KvFjwHqQxI333wzWuv3zRMqDMM0a9u9e/eWlRMHxfLyMqdPn6ZQKIzcyzRqhqaU5sjRs1y4uETgN7h5r8XBg/t6SoiDgM8PJS++Nbpe2g/fPMct2zPMz89zohJGX8y4aqWVplqtIqUk8AOUVljCShs6HTtq6kwG3XKfkmy14q8JUKFSNNRoz1Pdk8gwwBphnmKMRq+iidePbq7NKCVEgYj339Qu0thkLN2hVJ7gh2gHregvA6OkHPYOewqrLHttni7fSeCnR3qPUmpkIHFdl23btnWU27TWNBoNqtXqQHXy8fHxkbygusHzxwD1tzxc18VbZyPmMGGMoVQqsbCwQDab5dFHH93wLGmUqFarzMzMYFkW995777p8YUbJoKRUfOfJY7z99oW0J+LipXFuuz3b8yUbpMX39umrNLzRBnkpJe+eucixaZtbdk5z5frlaIg1OvIpsiLr87FcDiv+AhttkCpSImgEDZRSCATSEvhhGDXJtqls1+sBUmocZ/BgUR4xewKQRiF8yI3A5FdD9CR10s3NKuy9fmFoF4Utyxw7s40epfJE9BVIyRj9fKFS4FfuSHqBg8BOoWiaJnmxsfYHYa4j9ALG2rn2xsmxN4lmbllWCkRJtKuTV6vVVJ28m/4+Pj7ed4LbDdqVSuV9UZJ4P+OGAKjkQ9xK08JElija+mqFAAAgAElEQVR5sO6+++4tOU6/aDQaqVniwYMHN/SQjpJB/cmfvsjrr5/DdmwmJyfj9SvNd//Lq/yT/+PvsnNnq9F4EPAdPXlh6HPTOqIFK6UoFItcrdtkiiELpQqZTAbHjR5nrxlJ4dAugyTAdVxcx00HQmMMc7FslI7FSqHFgCuXGmzfXhio7lAJR5/sSKMwniCXH54pp4aQQ6r5Njvita3RwAm6FctLMsvObB/vtAG+UGl5rsvMUAmoSJspR62bvJJEVVXJWxvvz7P0SZT1qaG338o+qG518vZjttPfz507h1Kqg/4+Pj7e1wvq/azUvB/x4bqaNWKzPaGgV5ZobGyMI0eObOoxuiPJRsIw7DDv27Fjx8bLIENkULVajWf/x2u88cYs4+PjPV9g35f86beP8qv/5FNks87A/V5drHBpvrzmORmjaTSbBL5PPl+IFMYNnLpwnSC7Iy3d1hv1dEDJZrItteeYONE+kEb7NdTCMBIeBRIeQdIgWy57OK7CaBNJ7bSVCCVm5PKeNhqNwQQCrQ3DVHKUkauuzyRRD22UBtsyI5b3DN31tbLMDc/AGwBa0Q/DinQoElvGE2W2HfYaQz6uNV1jN4PFT4cNS59A8amht/9RNOoOQ3+/du0azWaT1157jTfeeINqtYplWTQajaFUYDbiBQVw8eJF7rnnHr7xjW/wW7/1W5t27d1xQwDUVmRQq8kSbbUCsmVZnD59msXFxZGEbIeJ1TKopLG4Uqly6r3aqpna0lKNF186zU/9vcPpOXffl1fe6d+U24roS9loNhnL5Zia2hax00xryH7l3SvkphxCL8R13eicDIQy8nPyPT9ag7KsFFwSiwJPScJ20IxrVkkGpRQUCuM4ttUSKw0lXtNjRXpIHSIsq0eOaFDImOhggNCH7BB+TsNkT8k+66HNeKZBN+Cs/q7ez1pqi7pyKTrr/K60lftKJss+1x9orwFdxJ8BrQKe8QhNiCs2KFqsz4FpwJDlwg+KkkQ3/V1Kydtvv83999+PlJIf/OAHLC8v88QTT+B5HgcOHOAP/uAP+pb5N+IFlcRXvvIVPvvZz275dd8QAJXEZpAkRpEl2uzQWnPx4kUqlQrT09Ob4qLbHf0yncRWfmFhgf3791OuZKnX59fc10svn+HRR/YxPp7r2a9UitffuzLwvUEQUK/XcDMZpqamsITAmGjBXhCNYZWmx7XlErsy+Z5MLmtnoY3joLWOvJykxG/4aKVZlkG0FtUBMO0qDFCteExNjWEJC8vNkMkAQrBQDXGkkyqWa62jNxCXCNuAK73mNip76AuyY6sDiV6DHNEdNd+i4I6SPQ3ed0nm1g9QbdHQDr62yFptGoO0Dfhxxpo0GScVjn4OvDVVY5uz0T4fjaVPoO2PDbf1B1TNPKkOOI7Dxz/+ce655x5+8IMf8MILL6CUSklS/WIjXlBCCP7iL/6Cffv2bbpeZ7/44N35LYjNMC30PI8TJ05w4sSJdNbxfoFT0sv08ssvo5Rix44d3HTTTSN9cS6dvc53/t8f8NfffY3l65WB27VnUFprLly4wNGjR8lmszz22GNMT+/k6CvnBr6/PcJQ8YPnTgG9JIn3Lizg+b2fhZSSUrmE5zWZmJykWCjEBAgT9zXFpbl6nYVShWi4y645y7Usi0wmQz6fZ2JigqltU4SWHd9Dg9YKKUOkDFFKpmtS1VpAO24ZA54Macpo8BaW1VLPdt00O0tFS8Mw+qklxrRALPDTvw4MNeJaUjUQa+4zCSE0q2VapXDzDP5W1CpZj6BV9rMsHDd2LLatiJFp4olFKFlsLtKo1wl8P3pG11mosNXrQ2/7fnmvjRr9lMyTkqBt29x9990DM/p+XlBXrlwZuE27F1StVuNf/+t/zW//9m9v9iX1jQ/end/CWE+Pz3pliTaDFpu4yp49e5Zt27alrMDjx4+PRAV/9YczPP3tV9J/v/b8DL/8lf+JPbf19pZYlpXKQZ07d45du3Z10ORPvnOFcnl4mZ7XXr/ATzx+F9u3FztKfG/OdDbtdhMgXMdJMyZIl4doNJv4nk9ubIxQ2Aihqa54FEcUeG2GklCruBm3BW6GiPGXzOpr1SZLy4ZsJhIgdWyHkvJaCzR9EEFYFoLW7E9rnRoZmugAGMBrKjJZWmsyHZUuPRR7r/UGg1TgK5ucs9b7VgcngJrMEGoL19q4qsiydEez34hpgVZyj2MH3pBovVDGqjAq9YSyUzPDQZ5Q7WHpGTBVEGv7jW2F7NdmxI+qB+ob3/gGv/mbv7kuhvB64oYCqFFiI7JESbPuRkz+VlZWmJmZIZ/P89GPfrTDVXYUpt38lRX+5ruvdrwmQ8V//g/P8b9/9bMUJzoXQprNJpcvX2bXrl08/PDDHYrQAEeOnB3pOowxHH3lPJ/9B/elr3lByLuz8/Hvo/6QIAjIFwoRLT8hKtAas/0goNFokM1mmdo2Rd0PUPFko1ELCAOFmxl+raA8QOBVQMzaS45sY1k5xvIZlJQEQcCiV43KdaLlmkt7Oa8LtIwxqHRti3TfKgSRi0tbKiJDpOtfid360HOc6F7Uggw5Z9AEIqGTD5d6lMJcfzbfiDE03Xy134uIdOE7PpPZTjUHKSVKqgGeUJGhYSfIaGz1Bsr55Jrn/kFZg+qOfhnUsOzdjXhBHT16lCeffJKvfvWrlEolLMsil8vxa7/2a5tzYV1xQwDUKJnMZsgSbQSg2skXg3qZhtXj01rz1B++iJS9s+DKSoOn/vBFfvHXP40QIu2hCsOQnTt3dtSjk7h6rcTFS8sjX9Mbb17g732qRbs/eW6eUCqankez2WQsN9ZDgIggQiBlSK1ex7FtJicm08+i0mWrUSt7bNs5fE28PIItR60asH1bHsd2UE6AkDYONrS55pr2Nai29SetNaGOvKC6cSH0BWLCith88RgY7U+3pI3ij67jEe5+nk0LdGp+hul8P4DqT4hYLVbk5gCURlBSLttXWdMyGKwhVhzKqsyk3RqIhRC4rtvfE0pKgjBANSU6ViVPjAxRRzH23xlqbHi/tPVGiY1kUBvxgnr++efTbb7xjW9QLBa3DJzgBgGo9ki05rpnRZspS7QeT6hms8np06fxPI+DBw+u+rANq2j+3puXuD5XGvj78+9d49RbsyinTqPR4ODBgyilWFxc7Lv9W2+tTyrK9yVvvhUx9owxvPTmaVZWVsisQoBQWlOvR0rWxWIRx249qgZDpdlJBqiVPKam80MNJo0wJFzDv6k9PC8kDBWua7MSZ15RIhRnUG3btns4Ka1BgIq6gxBdcgxaC1RocNKxNbp+jWxtJkTKLky30qZtN51Ntp50CJWFa+t0n6NkTe1RDnOjNdquEosysypADRs1XUMZhS1W+W62e0Ilr5m41Bo3ayv/Xd6deRpldnf0Fm2Vbt5mx0YAaiNeUO933BAA1W25IaVMwccYw9WrVzdVlmgUS4wgCDh79iylUom77rqL6elpQj/EbwZkx/qrUAxT4jPGcOT7767y+6i09uR//D7/5//zD9m1axdCCFZWVvruWynN8ROXh7qmfnH0lXM8+ECWF146yqnZeSYmJ7Etq3edyRgajQZhGEYlP7f3HtT9MC3vJRH4isCTZIdQIe8nbbRW1GoBk9tylILV198MoHSkUuG6LhINWiMSVXFjOkqAftNgO62yojYq1t3rBaYkOlnZvdlxLXDYNtbs+95RQhlBRWaZ2gT79mWZQZv6hsHOYKjqKlP2iOstAizbImNnUnWXh7fVaPJE2lt0+fLldFKUNNxLKQnDcEPl+q2Ibi+oUcwKYWNeUEkkLL+tjBsCoNoj6YXKZDKpmOr27ds3VZZomBJcu8X8vn37uPvuu9FK8xe/99959+XTFLfl+dn/+/PceqhXzWwYgLp8boErs30yoViB2fM8xsbGEGGWlTmf3bujkWMQkeT8+QVqtfUNVBEb8BrTOya55eDB2AiulwDRbHrpeUUU1gEKDgPkqmplf02AMgZK65C7qtV8KAzucTOAUjJq6nWcKCsEQiXTbCv6IdLtMYbAh1xBpVbvygppAYtoy6C6jxZlRqIPCNUCl21jGy/NASyHY5sCUApBWblsG5RFjWCVUlbl0QGqT9jqGG72f+6rm5coOUgpOX78eIeRYSL4msvlfmTlv34Z1G233fYjOZetjBsGoBKla8dxWFpa4sSJE4yPj48spjpMrFbi01pz6dIlLl261GMx/8P/fIS3fxhlPSvXK/zHr/0pv/TbP8e++zofPNu2B3pOJXHsB6e6XjH4vk+j3iCbyzK1bVv65frhf3+bQx+9FSHEQPB7+/jo2VOSDQVBQKFQ4Oq1gGah1LHOZGgjQGQyTG2bWtUio195L4la2WP77sKqg0YtDFBmdGZasxniNWQ7dMTnEzEQtdJYto3tWunvlFEDVSAS0DI6utqMayO7HXMTkdYOMfHkb7rr361ohFmUFtjWoAyq+yoGx0o4hjGlkXydBsWizAwGqOFOB4jKfIEJyIiNTigDbHWshyxhWVZa7rty5QoPPfRQj5LD1atX8TwPx3E6QOv9KhHeCErmcAMBFERMl8XFRer1Ovfff39HiryZ0Q+gukuJjz32WMcDdnlmjhf+y9Gu98Bf/Ye/4f/63S+nOnOwdgblNwNm3m4BShgE1Op1XMdhcmqq5wt0/UqJy+cWuHX/rr4ZVBBK3j11dfgbAGmWlsvlUtC5dLnEOe981C/kOmAM9Xody7aZnJhoSQ71DOqtkatfeS8JGWq8RshYYfDAtZ7sCUAZQ1ALsYtWmr8YraNG37h/p030J8qehjQyDDzIFjXSBB3Kq+0irck9MSi670/3uG6MoB7mmMgmQN4uZzRCqgKE2qIis0xuSplvdTbfKBhYUiV2ObvW3nCNsNVzKPtxEL1DYftadbeSQxKJtUatVuuw1igUCh3WGptdIuxnVvhjgPpbHO+88w7NZpPdu3czMTGxZeAEnZJKxphUSHZqampgKfHZP3kBrXtnvEtzK7z0F6/yyZ97LH1tLYB67+3LSBk1ONbrNYQQTEyMY9uDP+7Xnj/Nrft39d332TPXCYIhB9sgoF6vpwQIIQSGiDhgRIawrhETika5jo69m2wbgiDEcTS246yaQZWbqwNMrewPBChtTI/307ARaoXyDHYxpo3H98hxnI6yXfIJSqNQaFj1aqLwfYGVDwavGKUMwN6SXq+SXhRVP8tENslWOimExpi2rGzQHlqxHOSYcBJyiBgNSdpCYrGsXKYHZlHD77ikSuy0h+tJXC2EWcLSr6Ltx3p+NwzFfJC1RrvY6/nz59MSYTtobaRE+OMM6kMWBw8exLZtLl26tOmCsd3hOA7NZpNSqcTMzAy5XK6nl6k9Fq8sc/7EYIbc808e4YFP3cPkzlan+GoA9daR01SrFZTSFAqFoWZv775+gb//jx4mk+u1fH/n3bWzJykltXoN22opmyfAlES14dOshUzkxigWx8lk3LiPJaIEN5vN9LqSxks3ZmMJIqCrrkEPr1d8pvcU+37xy763Lp1EbSKAMj6EgQQRicf2WIrEP5PsScRwMljsNXpHGBhcZbo8okxb5jS4JNlveDNE/VBK6zhbESkgtcTdxYA9GLpBa1mOcbspxQzD6LzaEr2RQOt6mO0LUMMI4rZHaEJqusa4vXaz7VrhyGcIrEd6sqj19kAlJcLx8XH27NkD0FEiTGzjkxLhetx324leEAHUh83uHW4ggMpkMiilcF03TcO3KhLDwkqlwuHDhzuEZPvF639zfNXfS6k49vSbPPFLUa180BpXGIa8c+IUb70yQ34sH6l+DzlyKKV5+8hZPv7pwx3gJ6Vi5vS1ge9LZotKK4qFIo7j9AATQKPRpFStY1s2+VyRTCYCzaiPxYpBNAJwg0FJSSglzbj5EsDTUbnRsqyOhteO65CaZj0kX+zNopbXyL4GRahlTB8HfAtn3Fn1rkrdUiAXbf9PIinWRYoS0X/Sg8w6rOD7RQREgkaYYzwbANG567ZzMgPXtnrPN9QWFVVgyvUQ6BS71mNouKJcAi3IdK+PrYNwuKSWNgWghFnGVq+gnMc7Xt/MJt21SoTd7rsJYA3yg9Jad5zbj0t8H5LYCsuNJJrNJmfOnKFarVIsFnnooYfWfI8MJW89e2LN7V7/67f5uz//Cdys25NBJZp5c3NzNBat+EEdvXTw+otn+PinD3eAy9lzC3h9DAW7CRCZTKYvMAVhQKPeIFDEXkyCxnKTzN7BWZ1A4DguTqtBCIOhvBgt1mulWgzApBfJEvFMXlArez0A1Qxlqp83Smit8aXEiIgKbvzVFXI0hmANBfKo4BaXPuNXpO+SKei2rGnt0ttaUfUzjGf9+DNps7ggOoYhyagSncMWqHQD62IwzqSbWGRooqZfjUBFun79QCu+FNGBVYJFmWVvZuPGoXVdp6Ebm+IT5cjvoez7QbQa498PFYl+JUKlVOq+214iHBsbSwErEddNKgXJ5PvDFh/8jrRNjq0wLQyCgFOnTvHmm2+ye/du7rvvvqEf7DOvz9Korf1lbdZ9jj8fMfMSgDLGMDc3x8svv4wxhscee4yVaz7rXSRYWahy9cJSx2vvvjvXs12z2WRlZQXbtpnaNhWBU9ssGhF9YcqVMr7nMzExQaBEOlLVV5ojl9qMMTRCiWVFumuJekCivaaVJox7VspLder1OmEQpk2tK97w+oHJ8cJQ4isJVkvGyPgGowZTzX299rMVAXknw0+FNjq5R8ICYUclJ2ETyUxYjPq5VoMMSrfkkzojAvTodxaWsFqiuHGrljYaYzTGwHKQIRIkEfH5uEAWQx5DESPyGJEDkUGISDDXstr09Ej2aZjzXWQYMR+NNhvC4SW5tPZGQ0UDR/5lxys/Kpkj27YZHx9n7969HDx4kIceeohHH32U/fv3UygUqFQq+L7PsWPH+J3f+R3+6T/9p2itOX78+FBj29NPP82hQ4e46667+OY3v9nze9/3+YVf+AXuuusuPv7xjzM7OwvAX//1X/Pwww9z33338fDDD/Pss89u9qX3xA2TQW2Gonl3SCm5cOEC165d44477kj1+jzPG/oY7x07M/TxXvmr13nw0x/Btm08z+PIkSMdxIswlJwbYr1otThxbJbxW6K/K6V5b6ZV3msnQGyLaerdWZPWUQOwUopCoYDjOmhtqHtRqQkEoa8IGiHZVdh23VFu+q1ZeVukg69lpZKvxhjCpgEi+rrUmgXfi9uKRGzv3nuMJHlRWmF0RBuXXWt9BtCewS707kBqGdnOD4goY9ED11ukb5PJd68tJulM+/GS7KR/ppXy9YygHuSYyA1rwSF615bivSkjWPYdtjvJfYzuYfQzAS0bcNrORsfZVpRpISKSh29cKmSZIkgzgYR40m2xsVZUdRVPe+SsjbeK2Oooyn4EYx2IrvkDpMMnhCCfz5PP55menmZ5eZlHHnmE22+/nSNHjnD06FG+9a1v8e677+I4Ds8++2xfO4yNeEFNT0/zl3/5l+zdu5cTJ07wmc98pkcFfbPjxxnUOiLxZTpy5Ai2bfOJT3yCm2++ucMYcRiAMsZw+rXhrCsA5i8u8u6x93jzzTfxPI8HHniAw4cPp6zA2VPXkOFoemvd8c5rs2nT6KVLyzQaQWSBUSrh+z6Tk5PRgy/ozJqIrOcrlch+fXJyMqXG1xp+XEpqo4uvJBnNcKWsUmP4kpAQgsCLCCKTU5OYXBbLtmJtPJOqA4ShRCqVDpJaaaQMEYDjukij+5yZQTZ7X5dG9y3tJSSJSF9vcF8UgPSGnS/GqU5HpuUAdlyoS/6Dsp9dY1/DHUsIwbLKx5YibqwCH4F5YlMilUzvZRRJppXBMIahEP0RY1yV01j2FLYzhuM6cQ9eNBy1W2xIKaNqQZJp9SxdGa7L6xu8xla44R+DqUbX9gECqPZoJ0js3r2bJ554gunpaf7Tf/pPvPbaazz33HNDeUFlMpnUC6o9nnrqKX75l38ZiLygvv/972OM4cEHH2Tv3kg44N5776XZbK7Zj7nRuGEAalTw6BdJL9PLL7+M7/s89thj3HHHHT2sm2HVxq+cvkq9MlzpSStFtVLhf/z5Cxw4cCCdTbXH6ZMbn83Uaz7XL0df0LdPROaI9Xqd4nhU+xaW6AEmz/NYWVlBWIKpqamInNE2+63Uex/iVpkvqSsNDl9KGsFok4p61UfriByw1Gy2/IYcG9eNSoROrPigtSYMIx8oiBITpRR+X72+aB1Kq0iSSBpJoAOayotBqPVHGYU2KiqVDQHCKrSiMt+oES8mRXfTjkErAq5GOIY2OYRwI0DbQJRDF09F+xDCwrLs2KE4Ai07piGm5pBhiJTdoGUBDisqQ83sRYm7kByi7u/GiD0Iezu2XUi9tRw7/oxMS0dPhhFoRSaRUFVV6npziE/CVGKQ0h9ogFpNyXw14YGNeEG1x3e/+10eeuihHreDzY4bpsSXRD/r8bXCGMPS0hKnT59mcnKSRx55ZNUPZtjehplX186ejNbUGw3CIKRQyFOf8ykWehXOjTGcObE56fbF95Y4deoUL7/8Drlcrj8BQkAYhNTrdVzXjXqe+nRgKmWo91F+UKHGrwXkxtd+wNfqfeoXWhmatQCZZVVh2GjwjDKmRLTWGE1TyZ51tUT9AQBPYBcslNGERiJEZHyY3KNRadNJSM8mUxhhAhWzC4Xo/9wZBNVgjO1jiX1HRFuPSo0KUJg2Zt5acT3IcttY/0lVVJrrHNBb4rnxuptplWUvNj3uzLixjcokWuTa3wjCQ+AjhIdNE/AhPtdu6/iL8iK3iltisBzOF2pQWHoGR34HpT6+5QPweuJH3QN18uRJ/vk//+c888wzW36sGwag1vuwlstlZmZmyGazPPDAA5va4DtzbBVvpQ7NvDzFbQUQgmbN4+ybsz2bX58rUVnZoP6aMTS9Jiunm1TKkkymGL/cCUxKRuaCUQPwBJY9eGZea/gDx776SnNNgDKYkcp7Hccue9SKvWtChpgJGFN12zNgIUAaUv+mVnNTDDwxaIU1hcwqwtS3qUU6aD9OwjhYvR+qFeGwANUOTGsosJaaTgugYpKDEDaCNtaXUBgTsfMMOgat3vNdCLLckmsOLfraSdBoKYVorbnuB0z6PmOWRRiGqRSZbceOuuQxJt+6bwaIAUsIDwsP8IAoS62JOlNmsmMN2Il9oZK+umHHAVsdYSJTxdg/O9yFvo/RT0Xi/fCCSrb/2Z/9Wf7oj/6I/fv3b8LVrB43DEB1x1qOt7VajdOnT6O15tChQ6md8mZFvdxg/mJ/MVfP82k2G+RyuYh+2nWex3/4Lnse297x2tl3etl2w4fB9wMajTqZTBaMxam3F6OBoW2M6keAWCsq9cHg0ih5bL919c+h6vmEalTtvOiky+UmfrYTNHQsTxTZi7s9xUVtiJh73ZGIvcb/06FBK0lkC9UCoWi9pvWehPre3sSbNOEaerMtLS2UFNjOADAzrXcMSyRoSgtPCnKD9gkkoAVt90RojIno5CYGLqktlsMM05lhiRe9EX0G0eSgnsuyd2wMrVXasO379WgdVIiozOfYaVYEOYzJdYFWgBA+SyJgInuQglVFmBIYg0x8ofyIMGOMwY59oRLQGtQYO5F9Be3YYL7c08T7o4yNmBVuxAuqVCrx+c9/nm9+85v8xE/8xKZe06D44Nz19zGSNaJ+thqe53HmzBnq9ToHDhxg+/btffawdiRmdYMe/vPHL3a+YEzMkmvgZpKSWf/3vnfsLLsenuzY/7l1AlQYRmU6224pQMgw5NgPT1G8bXs660wWRPP5fETK6CdA0PWalJp6nx6qJJTUeNWAsYnBWdRybTR6eBTRiXhhCE0b8jZGa2TMEhs0kzaAp0L6USPSbYxpNbx6Aoqt7DzCjvZMqwU96fFS0Go1s3aDlvZcnGLYm3GtUc5bLVaaLnvGRwUVKy5d0gFaC8EYe3IhhibaeGgz3PpgxNSLyqFJz85CGHJzJkPetslk7A4ZMJOQJbpVRmwnBa6olJfFmCwKw8UwZG/ut7BEiG3msO05HHeOLFcQZgGMiYkdEVHGa3poraL1NKeVbdmWjTGGMft1rNAjdP9XEMOBwFbHj8oL6t/8m3/DmTNn+Ff/6l+l1hzPPPMMu3ZtXBNx4Plu2Z4/YNHPE6r9Qw7DkHPnzrG0tMT+/fu59957N6TzlZAxBll4zLZJG8kYJCzLYmJyYs2F2TCQXD21gHo8ygR8L+TS2YWRzk8pFXvf6MgQ0LHj9RdDJpPj6uVlnJ15QhWilcZxHLK57HBKzfG4Wh6iv6u+0hwIUJ6U1EckRyQR6qiZV9Q1OhMN7CkpIl6/SMpuSSUr1Cqycm+/DEOfPCc5QQHF1qvta1T9QQtoYwYOAi3puRTHHYQwKdlCaZUS99YTZc9md3EzzAct6sqirsbZnom+PwYZA1UEWMo00aYTDKO+PY1td04OjIHzns89+bGe71sEZBlctx20IpCLMi0/KuUZsOyI/CLtSyyIb7Mn/79hmCA0h1olauMjzByuPYftzuHqy1jMQ0xkScDQ932U1im5IyPfxnJmMdkvYpwHeyoa73d0u3WPuga1Xi+or3/963z9619fxxmvP24YgAI6LDfCMCSXy6GU4sKFC1y9epXbb7+dgwcPborHy1oAdf74xQgkahFIRCWz4TvBr7wzn3aPX5i5hhqyDGaMjpQdwjBWgHBpeehFaVCjKUFDY7lOcec4Y2NjKTOro77vOB1/0ojbZ8p1L91n2xl0/LtRamJuney7jrJcX9+amjEGX0aL56apsLa5OG4L9K20IzXeXkRlvdDoNIsZijMQCggNrPKxdYJW9EoHaAHoTtAyCkIfMlmBVgaBRc7OEFlDmZgVqFs/h2EIGkHFs5ka21gbQhIXGkEKUAIHWxSxRTt5R6GMRxBW8YIqjqsQdv+1tZKULAb4ssMAACAASURBVEnJ9BDPf5QBd6qMEPdQSSUJg5BrzReZu9RgTH0q1bkbHx/HdfMYs5/Q3BmBlg0YicU8FlG2lc1ewTZXgIBKOWqZ0FoTNJdQtd+j4d9MOXiCzNiBdN/vN9MvUZVIolwup/TvD1vcUACVhOu6BEHApUuXuHjx4oYt3vvFanT2hblFLp6+RBhKCsXCuowSr85cx2tEdhZnhinvtZMu8mNsS3uZoAUaAqUUy8uVqJziGQrFqJ/Csq3ONSdDOuPsB1oy1s0bvEgSDapaGZpVj/xkp5BuqNS6yRFeTG1OG3N9Bj7phgicgtgFt730Fv3erA5aTQHuaIy9DtCK/94NWo2aBktixfR4YzQIC4GI7c7t9NZGvLwoQ9Ek2WEvbC01XSZzalMSgLJUlELJ1IB1SK2hXpMIkWeysCvOvHWcaXmoJOMiEvA97/lMOQ7Oek5OtFm8J8n45DkmrDuxmx+nWq0yNzeH53lkMplUyLVYLDI2NoYxt6HNrchEJNkYBAtcXHqeu/ZlyVhXGTNzQI1JU2OX+i51/zbmF+/j9OlptDbk8/mO/W6W+Wm/+FGz+N7PuKEAKlkX8jyPEydOsGfPHj72sY9tiYZVP9v3JFt7+a+O4bouxWJx3eUCLTVn3pjl4Z96gLMnVwOoFgEim02MCpNyUwuYEjq77wcoBY7r4JWag9fRRLTNINBaKtXShuhEbcCy2gkLnU27+clcsgsAFmuNfiSyVcMYE8kdadVBIDB1DYXeyYc20ZpTe1mv9zLXAC1PwLgZiqywWqRAFaezKrRxbAthxTRtYzBhJELbrrZgCQsE2En/U7yzCLR0DFrRT19CPbQoZkY3bOwX5+oBD05207lNul4ZKem3D9QWlshjiXzbwGPQxkcbj7kwz6GxPL6eQ5uNavUJKvr7bJ8w7N/1D9O1NN/3qVarVKtVrl+/TrPZTKWFEnBxXZczZ0pIeZjQPoyMvzCCCjZzWPYViu4cE8VjHLgFpHiIWnCISi3D0tISs7OzW+rA+2OA+pDG0tIS7733HgC33347d9xxx5Ydqz2DMsZw5coVLly4wN69e8mbcbIbdPEVQvDeK2e4/Z59lJf7NylGBIgatu0wOTmFZSV9Pq3mnsgGoInn+eTzY4ShQFjR+oFWGm+lSX5H/6703pOKQMuybXxVjQen2AtKG5TSMZW5BVrCEjRKPloTC76C1JpSo11pousg3RGXeLQxBEb3DALG1xhlEHZrXSjQikDJ/lnRmpfZBloaHOlANlJA0OgITEbcc9IvBCCsyJXXb0K+SGsSY7fWxSKdPBMpp5tBoGW1Fq1i0PL8PLfkITQ+oQ4IzeA2gLWiIhULgWRXNprgyTCkVq+lXmDDobbAEjkskWNFgrJ/igPFjxDqRTx1GV9dwlNX8NVlpKmNfI7L/rP46ip787+EbRXIZrNks1mmp6fTbRJF8UqlwszMDJVKJZrMTU2xsLDQZoOxHW22IfVhEiUVQQPLzFHIXKC43cPsmERY21HibjxfpErlc3Nz+L6fTkwTQMzn8yOD1o1iVgg3GEAFQcB9991HqVTadMHY7kjWuRYWFjhz5gzbt29Ps7X/+s7fbHj/QgjOvnGB0w/1+khFBIgaxhjGi+PYbQSI+N1ANJuMmiSzqbng/Hxnx3h9qTY8QMVRqXm0LKXigdNuly1pgZZWGiUlC1cWyG8bw3EclhuJ7l6vyoRpK4OZuJ/GxP1MUpuBWZeua3RRRI21Wq17UO4XpmFwc3YHg0HH16jWAC2TXJPpFXX1GzBW6EyyE5q7LayOffQFLaIJQDt4VXzAFJhyo7YJYwyhCWPA8lPgGhZgz9V9tjsWzUYDrTXj42uTfFaL18vPMuHsYDqzl4y9E3gwPU9pyvjqMp66jKcu4avLhLq05j7r8l3O177JTWNfpOje2/N713XJ5XLMzs5SKBT46Ec/imVZKbjMz89TrVbRWpPP55mYmEgdc217AmPGCc3B1vdLBQhzlawNuW1jTG8vIqydQJEgDKlWq9RqNRYXF2k0Gql/VAJchUJh1Xv4Y4D6kMbevXtRSlGr1Wg210NfHj6CIODy5ctMTU11mBWWFyqUFiob3r8QAq/u8dqzJ9PXkj6lMAwpFgq4fQgQkMx06ziOw9TkZEpnDwKJ53cCd2O5gdFmzWbQNAysVNe6t72gJUKHsVyOhhewVGv0sdNIxElFcrFpP5NwHDwpCWNUbA2tLfacqQWEY1uj7KWbpiNDA7Di/qdOIIlKddpoFCZWQYgzvjhr6tivFgS+IbtGst0PtKLjgYmZaCqxZ0BwerHG3dtyaW9RxsqQIQOxt5IxIHtAy+9LxmiEklPLZQ5MFMiO4D82KJSRvLD85/zU9P/ChNNq8RBC4IopXGuKovuR9HWpa/jqSgpYnrpMoHsZrVJXuFz/DxTde9mZ+wJZ+6b4Wg0XL17k6tWrHDx4sKOtZHJysqO/KPl+VatVlpeXuXDhAmEYMjY21kXGGAP2tYRwtUEoDZSwhMPUZI5tU3ksay+IiFGc2MZfuXIlZtcaCoVCR4kwWYrobpH5cYnvQxau625ZBtVoNJiZmaFerzM9Pc3hw4c7fn/hncubcpzEYuL0q2fZdejWNgJEnmJMbOhHgGjU6xhMPPvrnKVV+9DCtVQ0Sw3y2/tkUZ0JGQANP8Rfh2Bts+xhiUlW/DBa8E4OEVPC2z2gkmagSAVC4EmFMqbH2iFizMXrQ6FBhAbjbj5F2ACqaXCKq+87IjjElHIlcXCwHDtl5qmUodcCAq8uyObWl+8JSCcfLQ0HKIeGaiDJBkG0TipInYvdWMnBtVxcXLATNRFQJiQ0AYH2CVSTZtgAy7AkHG63HbIbXYiLw9cezy09yad2/BzjzuousY5VxLEOUXAPpa9p46VlwSTbCtQ8Bk0tPEk9PEnRvZ+s/DjnZhps37adRx99dM3Mz7Ks1ESw2ym3UqkMQcbIxLJPEVtUKQNEOpHjxTwT40WsWNVBG0O9Xk89oc6dO4dSirGxMXzfZ2lpiVwuRz6fJwiCVfX3/jbHDQVQW2G5kUQQBJw5c4ZKpcKBAwciP6RyuWe72VWs3UcJIQT1msfKUhNnZ4HcWK6TANGGHgm1PJSSQiHftXDdimql/8J0Y6neH6BiOnn7xHqp3KCXWr52GAOL16vUuvpnUn03YUArtDbYTkuUtBHGwNXqJI0zrfRfyY5wfAuTs6OyW1x+26xSn64bTGF1VQxD3A+kNXbck5WcpS2slK1uoCU4Kw1CGoyzeW67whLMB4KPTEcZk9YGqSRKShqNZgpajt3eRmDjWC62cVAeuKHFVGE3wo7WsxZ8m/2FHVTlAk21ceHWhqry7OKf8skd/5ht7miNoJbIkXf2k3daUjzahPhqDl9dpikvMb98Ek++yPY772B78SfRYjs2ozfltzvl7t69O329nYyxsLBAo9HoIGMUCoVYcdxBax27EhuUlmm5N5/Pd1jAm5iJ+8Ybb1Aul/n3//7f8+STT+J5Hv/yX/5LHnroIR588EH2798/sF/x6aef5p/9s3+GUopf+ZVf4V/8i3/R8Xvf9/nyl7/Ma6+9xo4dO/j2t7+drtX/zu/8Dr//+7+Pbdv83u/9Hp/5zGdGvl+jxg0FUElspmmhUorZ2VmuXbvGvn37OHz4MEIIlpeX+4LgZmVQSmkqK3WkJ8laGfL5fJ91pha1PD82RqHYKzKbhNcMYlp4b9SX6uzYP6DM1/aS58s2Ydh+Q//gwVsbw8J8BXb1zgS1VrE0joUbswal1nhaRU63schrctyUlNcFWjQMzpTAtVqPfQRUZsOgpaXBBCD69BwnpTalFJZtY/eRWGoPQVSuS0DL8V1umyzi6zD6owI8HRLokP73ee1Y8SQlTzKVc7AsQcZywXVJ2muMMan0kOc1kXFfmdaaTCZDvlDAcSIGn4ODMtCQe/nC7n9EU9VYCedZCa/Hf+ZpqOrI5+jpJt9f/FMemXyCO/K9a0ejhCVcxpzbaVbGuTBjs3fv49xy+15Ccx1PXWHF/wFg4ViTjNn7yNm39gjfjhKrkTGq1SqXL1+mVqshhOgo4xUKBSzbTkkziTQXEDfRZ3Bdl3379vH1r3+dr33tazz++ON88pOf5I033uA73/kOf/iHfxgxhLtiI15Q77zzDn/2Z3/GyZMnmZub44knnmBmZmbLe8BuKIDazAxKa82VK1e4ePEiN998M5/4xCc6Zi39aOblhQrL19Ze1F0toubeGkopAl9hOw71hTL5qSTDaREgmo0GmTYCxGpRXsX2Q0tFs9wkv211odzFcjJz7j1WRM1ua06Nt0pOywtDtG8QUiOcZMaokVJhWQLXdTAGAqVSlYj2EG1glNLLu0FLG2QtxMrbEYswdny1hMBto3CsF7RUTWNlO7+w2hiUlNFAvgYwDYpqIyqbjmUyjNkZcAvpvoMYtLwYuPwRQOtM2eOhbKGjNJqEECK2JXFQKpMOprlcFqU0vudTV3UwkXSY4zgcDd5hpzPJx3bcw5hdZG+ulcH4usFKuBADVwReNbn2d0EZydHS08z7F/jo5KfIrtPePQxDZmZmCIKABx54IF0TzrKXrL0XeBSISSN6kYacQYgMlshikcGxtmGJjbWjDLJ3H0TGaF/Xsm0bKSXnzp0jn8+jlErfK4Toqw7RHe1eUEDqBdUOUE899RTf+MY3gMgL6td+7dcwxvDUU0/xxS9+kWw2y759+7jrrrt45ZVX+MQnPrGhe7JW3FAAlUTyYa8njDEpM296enpgH1W/Rt3zJy72bDf0cbWmXq8jpaRQKNCsB5H1uAO1xRI7D0S1aylb2noTsbbeWqG1oVpd3XissVhbFaA8X1JrDNZ6E23AkQyH0eK9wZcSqSIQ0LUAig4qJjwIy0Ia0GHY11F3tegHWjSBvEBrlVq3t1huGwMt7RmMNAhHrFLOW18slDxu29U5K7aEIGdnyNkZkqV8YwyBlhFg6SD6o/ro+gHNUHOlFnDrAEV5Y+joacpkep9zY4ilhxRB4POfz36fy6cvcld+LxMTE2lJK5vJc1P2dm7K3p6+N9AepXCBlfA6pXCe5XCeqlzuC6+zzXe56p/nI+M/wZ35+7CGzG6MMczPz3P+/Hn27dvH7t27V52sCSHI2DtjBmFrH8rU0KZJ5LdlIbAQuGl/1Xoj0cBci4zheR5BEDA1NUWz2eTixYv4vs+v//qvD60q3s8L6ujRowO3afeCunLlCo899ljHe7faTRduUIBab7NcqVRiZmaGsbExHnrooVUXJvuB4Ozxdaw/tSlA5PP5NHVfadTQ2qDDEFmWVJZWwLEwEMuvDP/RVqveqlblsEaZz8D88uglHCFAKo3SMcUaEDVFmLewLAuNQerhzP6GDt9gGYFwEh05MDopp2wUtAyybrDGDXrIct6wUa4HNH3JWHb1z1UIQdZ2ydouEE0oEtCKMq0gLRMaDBcrATtyDnm3c8APw4hZlvQ0DfrKCEGb1FUEdO+xxKHtB8mGWRYXFzl//jxhGKZZQQJc2WyOXdlb2ZVtDZpSB5TkIivhPKW4PFiWS2ij8bXHa+Xvc6p2jEPFR9g3di+ONVixodlscurUKTKZDI888si6G/KFEDhivOd1bUKMiRVI2v5stBm3nYyxa9cuzpw5A8A999xDGIb8yZ/8CU8++SQXLlzg4MGDHDx4kG9/+9v8wi/8woaO+0GMGwqg1vvg1Ot1ZmZm0Fpz+PBhxsd7H9bu6M6gjDHMjpJBGdPRp9ReFjDG0Kj6MY08alItXV1i8tZpjDbUarVogduN3E7XqhOXSmsvaq9W5qvUPZr+qBmpwQtly0ojrrmLUJDFSct80a+iwT8STo2yro2AlqkpxFSiI0cMuoKE9N4JWhqjkubi1UFLa4OqS7ZN5BBFB08pPBWi1gD/YePqSoN9u8dHfo7bQWsiBS1i0AooNWwO7J7kur+CrwLq9RpaayYmepmew4RC8V9XXuYLN/0E9+45FB8vmmhVq1VWVla4cOFCyj5LAGtiYiJat8nsZTrT0pZTRlIOF6P1LBkB11uV5zhRfZFbxw5xx9i97HD3tAR6jeHSpUvMzc31UMc3M/qV/NobrttjPWPPysoK7733HjfffHOqEXry5Em+973v8YUvfIGvfe1rlMtl3njjDc6dW9v8dCNeUMO8dyvihgKo7ljLE8r3fc6ePUulUhn5QbcsK6KTxrF8tUR5abhO+Mipthb1KbWtHyUPvtcMCUMZNbnG5AGaisnJqXg7jQwlYeytk/ofxTNd14nUHgAadR8/GA5c6gu9ZT6lDNdXRmNtaaPxQonS8ZqUjrx/UnuRmoTtrZlxNINtAUhyL9YLWrquEZODP/tO0AKw04Zao/uDltYRndF2HDIqy/RYi/UY6AiomiqkKSXNdYJWvSmpNkMm8hvXeRMCsrZD1nbAwIS5mb8/9hHeuTTD2N4pvDHNNX+Za/4yvh7d+0kZxZ9f/SFLQZmf3H4flrDI5/Pk8/mU7ZZQtKvVKpVKhStXruB5HtlstiPTGhsbY3vmJrZnbkr3r42iIpdZCee52DzFmfob5O0JCnIbi2drbJ/aMRR1fLOjr41LH9BabdyRUnLmzBkajUa6XhaGIb/7u7/L008/zb/7d/+Ohx56CIBdu3YNzabbiBfUF77wBX7xF3+Rr3zlK8zNzXH69Gk+9rGPDXXcjcQNBVD9LDf6pf1SSmZnZ5mfn2f//v0pM2+9xwKGyp6UlFGTHnT0KXU/3KWlKmEgsexoIRshaJbrSD/AyWYQwsLNZHDbvXW0JkztBDyUijT2lpc9tI57iAZdYnz4+lKNqXAHjm0TO5xzdbGCHFJJXRtNIFWaNUXXZXp8r0xNwjZ3zbWCdYOWNpiGRvTR5xt4vPiY2J2glSxWJ2sRSkoWF6uMjQkymch+PGPZZCybCbdVEu4ALSVpyuFA6+pyk2LOxdq4b0YaUir+/L3XYecBfvrRT3Y0gRpjWAmrEVh5y1z1l7jmLdPUq69ZJvHDpbc437jKT9/0k0y5nWto7RTtdk8h3/fTvqKrV6/SbDY7+oomJibI5/NMuTuZcneyj+hzOHf+LHOlK+y+czvFgsOKuoajXYrONpwNEhw2EqOMHcvLy8zMzHDLLbdw6NAhhBAcP36c3/iN3+Czn/0szz///LqFaDfiBXXvvffy8z//89xzzz04jsO//bf/9n0Bf9EvHW2LzVSE+UBEEAQYY3jjjTc4dOhQh4W71prLly9z8eJFbr31Vm699dbh/I8GxEsvvcTjjz8OwHe+9RTvHj3Td7tuAkQCmu2fjRCCMJTU6zWuX6oQmcl1Pvi7776VqVt2Mmw0Gj4XLy1H6tfxYN6Sx7H6gtbuw3vITo0htfn/2zvz+Ljqcv+/z2xZZrI1Tdo0adOmWbu3SdqCgEUsCFwrAkLV+wNZRLxiAWVVLuDGcuFWQRZREFQU8eKVYmW5CBak2iTQgrRNs7RNs++ZyewzZ/n9MXNOZpJJsy9tz/v16ittMs05M8mcz/k+38/zeejr99Dt8IQTCgbeiAO9WOF9GjmUZKCaHCKjfYbb3BAy4hCsE79/Gk60BLOAYd7xRfB4yPLA8L3Q0Lzw8cLHTE2xYLOFyrwKyqCeotgDE4OyFBas44tWRko88+eMz80WiaIo4f64IDarjTiLhW8UnU5h8twR/59DdNPm64kSLo80fMCrSTBx+pwVnJa2LMrmP1oCgYC20nI6nVpfUXJyMgaDgc7OTrKzs8nNzY16bRVFwSu7UFAwYMQQToQ3C3GTEtw6WYiiSG1tLX6/n5KSEuLj4wkEAjz88MO89dZbPPnkk6xZs2amT3MqifnDOKVWUJFEWs0VRaGzs5PDhw+TkZHBxo0bY07bHQ+KEsqbO/zhsVhfjGmAGCxM6nBBWZYxCOZh+zOcnfYxCVRvrzt8J26MihqQFSU0gVYZEK1Q1JCAq9NJYroVt9eP3enDZAgtpWQlPMpbUUIX71i1ePVzkeW8YVBc4qQI1PFWWlYhHtGi4A2Koy65qa41RSGm0KhC7XKJzJ2bjMlkQCE8rygYGobnDqd5DBYts8GIedBKa0C0xHCJMEhXv49kq4XEEQwTx8PvD+Bxu4lPSCDFakUQQFJkfl5XwX8UbiQvKX3Y/ysIAqlmG6lmGyVJueHXRcEpemjz90YJl0sKzfQSFZF3ez5kr72WDWkllKYWhnqvRonFYiE9PZ309IHz8ng81NTU4PF4sFqttLe309nZGVUetNlsJBqj94xDP/8gAuq04LC5YRIMDuOhp6eH2tpacnNzycoK7aV99NFH3HjjjXz2s5/l3XffnZKJCycCp6xAqc26fX191NbWYrVaR3TmjRWj0YgsyzRWtxCIzLiLMEDEx8cPMUBEPAyPx00gENBGrXc09w17PG+fCykoYhxmRk8kbrcfjzfG3oIQHuhnGBDB0IInNGHU0ekgmGygzxtaPQjCgFnAYDQOGqMQEi0xPG5dgRGFaeDJSCgRPVGTiSpaRo9CTkZo3y4oyXjF8B6RGBwiWgqE4pbCwbQjraxlWaGnx8O8eTYEhJAYGSNfnbGK1sD3DsoSiUEzn1yUQ7vPSaPbjlMcXclNkmStdyYlJQWDMfp5+KQgj9X8g+sKNlCcMvoEB0EQSDZbSTZbKbINuPKcoie8wuql3ddDm7+Xt7o/4O+9/2JlUh5rUvKZHzdnTMKg3lAeOXKExYsXM3/+fO3/q7l2/f39NDY2as81sjxos9kwGYeWyRRFjhk2PFWipfZmBYNB1q5dS3x8PH6/n4ceeohdu3bx9NNPs2rVqik59onCKSdQ6lRdRVGora0lLi6O5cuXx+y8niiq1bxu71Htc8FAALca1BrDAKHi8/nw+nwkxMdrjxODEi7H8A21iqLg6nKQsmD4u1/1cd3do7eFhypxBjBAICjh6PZhTI4b6HRX95JUh1tYsITQwTACcXGWkJkgXGYLfZSR5eNYG5wipE3d4DePM4DfJxIXb8JsNGA2xpEcN9ATFJQkvKKIy++j3+slKAgYxmAbdzi8pKbGExdjpTNR0QoGZfocQa5fGepNcQR9NLrtNLrtNHkcNLnt9AcHSm6j6WlSCcgST9Ts4eJFy/nkvLwJXaCTTIkk2RIpsOVon3OLPtr9PbT5etndu5+AHGR+fDqF1hwWxKeHxoUMg8/n49ChQ5jNZkpLS4fsx6jvq8jwVLWhVTViuFwuLYw1slcrVtVEvVYMLhtOVLTUXspIgd23bx833XQTn//853nnnXdO2VVTJKfcHpTL5aK2tpbu7m7mz59PUVHRyP9pnHz44YcUFBTwq+/8gfaGTlxuNwJExekPLucFwgJmtlhITEiIulPv7XTS03n8JHTb3BSy1ywdtBILldXUZtHubhe9fWObrSNJCv6giCwrCIlmTDmD05OViHiWUIlQCT8ng2HAlj201KxE7FOF9oo00TIICDkJo09SHwfW5DjmL0qJ+TU5vDeoyKHJwkajkUBYtHzhVZZXPH55MCHBTE5OyrgvaJGipQ6DDImWEZPJzEUFhVxQVBLz4uoIhETrUFcLHzUfpd8EUpxp2J6mWKydk81luatIMsdu5p0sPJKfdl8P/aKHOIOZBGMcSaYE5piTtZvK5uZmWlpaKCgoiCr1jQdZlrUEB3VfS5ZlbYyGKlyxRGK4a+ZofsbBYJCamhokSaK4uJi4uDj8fj8PPPAA7733Hk899RQrVqwY8fuchMR88U45gVJXTZIkEQgEWLJkyZQda//+/cQLCTx182/CBgibliU3WJjEsINPEISY82AURaGhph1RPP5eiWAQyD9rFQbT0P8vyTJeT4CWVgfh8CEMak7doF8PRQkbAWQZUZLDNuoBTEvmIJgH74UNZIcZDEaMhtD+ixJeMQ0eVjgwYXd40bJkJiBZjfiCwZjll8kgZ2kacQkRFyIFvD4vfp+fRGviiK4pVbS8EaIV2ficmWkjNTXhON9hbESKliSJnJOaTkGiVVsRqBdXWZapq6vD7/dTXFxMYmIijoCPJo99YLXltuMIHn96rdUUx8WLlrM+feG07tH4pABO0YPf6+NwbT1pqWkULsknforEUk1wUAWrv79fMy5Filas3wdt2ORxXh91nzsy0eKDDz7g5ptv5tJLL+WWW26ZtL3vExBdoCBUo5Ykia6uLux2OwUFBVNyHEmSqKqq4l9vVtOwp5W4cOloiAFClvG4Q71KkQ6+wfT3eehoGX7/KZKsFYtJnj+0ZysYlGhq6kVUMwIVQqYGKTynKOy0G40QGNKtGNMHnGRqbp4ggNEY26WmHlRbZQ0SLYMwMGBP/X01x5tYUJIBAviDYkgAgkF8ARGfKE6KaCUmWcjKDe9FBUJRUZY4CwkJCeO+IEeKVkCWyVmUgsjkNOwOxmgQuHrlGpZabfT399Pf309PTw9+v5/k5GQyMjJISUkZtozlCPho9thpdDvCJUI79sDQUnJ2YgoXZhezMnX+tAiVLMscOXKE3t5eiouLSU5OJiiHxD+UPBLe+4zhaJ0sFEXRYodU4QoEAiQkJAxpMB6OQCBATU0NiqJQXFyMxWLB5/Nx//33s2fPHp566qmoPLxTFF2gYECg+vr6aGtrm/RfDEVRaGtr4+jRo1gsFt79eRWuHo/2tUg8Hi+BgF8zQAz3JlNkhWN1HQRHOWdJLfNFIkkyTU29wyaWD5x/aOUky7JWdovZGW82YlychgAhA4SihNOtx2NqCK+wZCW8Ua3ejRowGAQy8+dgS01k8O+wEk6j8AZEfMHQ6sUfHN8Y9/mLkpEJZdbZrLYh5oGJsjRjDpesX0aLy0ljv4PGfgdN/f34Jmnsi0EQ+OKyFaxKTePQoUMkJSWxZMkSbeyDenFVb4QiL66xRKs/6KPJHdrLanTbaYwQrcx4G5+cl0dZeg5W09TsEaopCllZWSO2e8jhXET1t0MdsTKVohU5A6q/vx+/HskvDAAAIABJREFU3098fHzUSis+Pl4zc+Tl5WkNyu+//z4333wzW7du5eabbz6VV02R6AIFoZWN6vQ5cuTIpLpkenp6qKurIyUlhaVLl/Jx5QFeuu8vQ+6ufOGk8fj4eC1VGYZ/Q9l7XHS1DZ0tNRyCILD0rJWam8/vD9Laaicojn2QIESX+9SPigJClg0l3hjhapvEC4KilgUVzAkGknISQ+67cBKGOg128DFlJSxawaD2caQBiqExGLCoIB1L3NSZMs4uXsKWNcXavxVFodPjprG/P0K0HPjH8XNSCPU0rbbauHLDacwZZsKquq82HtFyBv3aCqvJ7aDN209WQjJr5yxgWco8Ek0T39QPBoPU1dXh8/koKSmJen+MhYnsE433eJENxg6HA4fDgcFgIC0tjaqqKtasWcOf/vQnPvjgA5566imKi4tH/sbj4Oqrr2bnzp1kZmayf//+mOd644038uqrr5KYmMhzzz2nJVPMILpAwYBA+Xw+Dhw4QGlp6YS/p8vloqamBqPRSGFhIQkJCciyzF+efpO3f/8eoGA0hubuBAKB0DydxMSou8LBP4ewrwFZCq2epFGmNajML1lE8oJ0+vo89Pa6xpwEfjxkOTRCwpScQFLeXHyB0Cpm8D7VZDK/IJ04m1lLwwjtv0gIBgGzyRzOHTRhjCGUoWglCW8wqK22/KIUsV8WarZNn28jde7EG2CPx79vXE3p4gXDfl1RFDo8bhodA6usJufxRUs11sQnxJMQn8CS1FS+snINcxNH91wi914Gi5YqWMcTrSa3nTavE7PBiNVkZm6clYXW1DEnuHd0dMS0jk8WY4kbmsgx1PT0pUuXkpKSQltbGw8++CCVlZXaQNPS0lIuvfTSKRlX8e6772Kz2bjiiitiCtSrr77KT3/6U1599VUqKiq48cYbh6SazwB6oy5Ez4Sa6NBCv99PfX09LpeLwsJCUlNTtYueGBSpqzhKWlqqtmKTJEXrv3I4HCHbsNkcHrNtjHrDCEJICDpa+hBFCZSBu4VQTNwwb67w/k5HQwc9gdDQuclCUUJRPggCZrMZwS+RZo3HNCeU5xYUJbx+EV8gvEfkDzJZmmVvdzK/YC4WswWL2QLhG2s5nDsoikH8voEIJ1WwzCYTBoOBRIuZRIsZrCDJUmgvQVIQzGb8ooQ3KNLX6caaHIfZMnURLi9UfEyCxcyyBbEbqgVBYL7VxnyrjfULBsZ/d7jdNIVXWapweYMB3C43gkCopyl8w3PUbueH/3iXc5csZfPiPMxjGGW+YEFIPCNFS93cjyVaSeY4lqXOY1nqwDRZV9DPMXcflnAPl0kwYDNZsAyTsO/z+bQbvFjW8cliqvfN/H4/hw4dwmQyaenpXq+XX/ziFzQ0NPDyyy9TVFRET08P+/btm7LnedZZZ9HQ0DDs13fs2MEVV1yBIAhs3LgRu91OW1ubNsZ+NnHKCZTK4DDXsRA5RXfp0qXaPpYU3osRBIHaysP09zpxD2OACE0sDa0GPB5POM9NGOh1MZtx9/txO33hSKDQLYY6Q0lRDQ1yyNSghBUsNDoa8AVJnJOCYTLq20roucmKEs7hG+jdcrb3k5Y7BwQwm42YzUaSw2MXUEJ9U95AEF+EcI1nMedzBvA5/cQPml1kEAxYLJaoN7ssy4hiUFspy5KMwWjAZDQhyRKSKGGzWUk1R18gJFkmVUhg/cpcmvr6ae5z0Osevu9sPEiKzHO793HNmesomn/8SKGB5yiQZbORZQuJlizLNBw7xqGmJsxLlmIHGh0OmpwOLecwKMn8pb6OfzQ3cW7eUk5bkDOiUEUdc5yilZSUhM0ch22Q084rBnGLAQQEjOGWByMCLS0tk2YdnykURaG9vZ2GhgYKCgq0Kbr//Oc/ufXWW7niiit4+OGHNWdueno6n/70p2fsfGPNhWppadEFajYwkBc39rspRVFobW2loaFBm6IbSrKWNbFTo4ne+O3fcDgcJCQkYrMNNUAI4VWI2WzW6uyhC2tItHq77XS3OVEUwu42g5acbTQKA9FEEE7YDu0NCVLoIwqIdheWubH3IkaLLMlIsoTRYMRsGnqBc7Y5SMlJjW0qEMBiMWKxGEmxqa8hBIJiaKXlD+ILBPEHpFHVknub+8kqnjviz85gMGCxxGGxhJ2TKPh9Pi2/zWAQcLncGI3e8A1BqERoNBhwOv0YfQpXnbEWAJfPT1NfP029Dpp6Qx8d3uPbskciKEk8/e4HbF2/8rjlvljY7XZqamrIyMjgM2ecEVUmlmSZDrdbW2U19jtodvbz4sED/KW+jtNzFnJ6dg4ZidbjHGF4YomWoii43e4hopWYmBhleU8Y5E51uVwcqK4mOTmJtaWlmExG5EGZjicCPp+P6upq4uLitFWTx+Ph+9//Ph9//DEvvvjilDmFTwVOOYEaL2peVlpaGuvXr8dkMmnlPBh4U7W3t/P+O/vobuwd1aj1SEIXVgtiQMHR7cdkMmvNr4qa2BDem1IFS7VmGw0CxshherKCMRAgNTWRgF/E54vuzRkJRVYQJSk078hkHtb/IIkSro5+kheMTggFAeIsJuIsJkiKDx8LfEFVsEIfYxkbAt4grh4PSXNHf4GVJBGX243BYCA1NS3igh7u8RJFgsEgHq8HRVYwGo3seOcjbBZYU5yLLT6OkqwMSrIGSnIOr4/mvn6aehw09fXT2GPH5R/bSApRlnl+z0e0OZx8ZmVBONNweAKBgNbTtHLlyqiQYxWjwcCCpCQWJCWxMTuU3CDJMu1ul2bEeO7jj4gzGlmRkcnqzHmkJ0xsz00QhDGJVlJSEm63G7fbTUlJCcnJyVHfTzXGDP51m22ipd6sNjY2UlhYSHp6OoqisHv3bm677TauvvpqfvzjH0/7uI/RMFOzncbDKS1Q6urneBZWp9NJbW0tRqNRm82irnQiv09vT2/IwZeaQudH9pgXkJFQZIXeLie9XQMxROqqCYNhIM9VLe3JMkFVtAyC9lhDuAlWCYokmQ0kZIR6ogIBEZ8vqP3xB8QYga4h2ziKEg5DHfm8HS0OkrLGn5YgGCAhzhQ1LVaWlbBYhUuDfpGAKGFvdWJNTcAwQkaf6moLBgNYbbaQyEYfFaPBiNFiJM4Sp/0v1UTz+7/+C3t3B0kJxiENsCkJ8aQkxLN8QSirTlEUHF6ftsJSV1vuwMii9Vb1Eeo7e9m6fiXzU4bGbUVeCPPy8sjMzBzT62w0GMhOSiY7KZnTwqIlhkWrpqcHUenCZrZgNVvITUkhfhJKwsOJVnt7O/X19cTHxyMIAgcPHhyy0houuWGyhgBOBuqqKT4+nvLyckwmE263m3vvvZdDhw7x0ksvjXoM+0ywZcsWHnvsMbZu3UpFRQUpKSmzsrwHp6CLD0KbmRDqR1i1alXMzUq/309dXR1ut5uioiJSUlJCg+oisrkEQcDtdlNfX4+iKOTn51NX1cArP31jwCYtg8lsGFYEFUUhGJBw9Xtx9LjHbWpQV1lyxJtZEASSs+aQtXwxJtNQS3bIGhteuXiDuFxe/AExap9ptGQUzsOWOfKk4YkgSQq+QJD5OanMWzKHpk4HDtfgcpuCPxDA4/aEXW3xjNf+npaUwLWfW4/FIGsOt/7+fmRZxmazRV1YYyV/9Hl8EYIVEi3vMMYck8HAJ4sWc05JHgnhnDyXy6X1NC1dunRK+2VEWaYznP1nMRoxGQzEGU0kTkIenCiK1NXV4fV6tUQLiF5pqbb3WOXByY4bGi+KotDS0kJzc7M2wFRRFN577z1uv/12vvrVr/L1r399QiN6JoMvfvGL7Nq1i+7ububNm8f3vvc9zRB2/fXXoygKN9xwA6+//jqJiYk8++yzlJWVzeg5o9vMB1BnQqlZeVbrQMlIHVbY2dnJ0qVLtUFqkQaI0GymIEeOHMHhcGjDvbwuH09969e4IibMKopCwC8iBiREUSIYEAmGjQKSqDrQpiJhILTKwiCQVbZUy+PT+ojMA6Pg/X4fHo+XhPh4LHFxIdHyhY0NvtD03pEwx5vJXrdoSnPzItl62XqKCufj9Php6XTQ0uXgSHMX1UeaCUihvMPjhY6OltSkeK7dsoH0lOi5YeqFVb24KooyRLQGX6gURaHH5aGx10FzXz+NPaGP/ojVeILZzFkFi8gySQTcLoqKioaUwaYLUZbxiyIGg4CBgdR64xguwGqJL3KUxPGIJVpq3NBMipbX66W6uprExEQKCgowGo24XC7uuece6urq+MUvfjGlsWmnALpAqagCdeDAAbKzs0lNTdXujo4dO0ZOTg4LFy6MaYBQFIWmpiZaW1uj+jUkSeb3P/oTRz8eeXKuLCv4vQF83mD4Y4BgYPLs4IPJLMohbWFm2DkY1PqIxHBmnNFgJCEhAbPZrI2Cj0SSZPx+tTQYWnHFWuml580d9V7URLEmxnH9dZuw2eIQRZHDhw9rPSaY4mjpdNDc6aC5y0FLVz9e3/hbCpIS4/jyZ9aSOz9t2MfIsqxdUPv7+7UxD6popaSkhEQzhmh1Ot3aCqumuY36tk7i4+M5vSiP9UuyWZo5tnEUU4kcrgyoZgYtvWHQ+amWa4PBQFFR0YQs1SOttFQH4VSIVmRIbVFREWlpaSiKwt///nfuuOMOrr/+eq677roZXzWdBOgCpRIMBpFlmZqaGs3aWldXx5w5c8jLy9MMEJHCBKG7waNHjzJv3jwWLVoUlUj++jN/44M3Phr3OUmijM8bwO8N4vMG8HkCY27OHQ5zgoUlpy/XnocsS7jdHmRZJjExcUC4giKSLGPU+ohCPVqxZjiJohTax/KLeH1B/L4gGAVySnNH3B+aLBZmz2Hz5iU0NzWyaNEiFixYEPPCoygKvf0emjtDYtUcXnEFRhkdBWA0Cnz2jGWsXzb6wFRJkoaIlsFg0FYCycnJWK1WBEHA6/VqvUBL8/Nx+EWa+kKi5fT5mWNNoHh+BnkZqZhm2cb74OT8lpYWmpqaKCws1CzXU3HMyESMwSutsYpWrJ+px+Ohuroam81Gfn4+RqMRp9PJf/7nf9LQ0MDPf/5zFi9ePBVP71REFygVVaCqq6vp7e3FZrNRUFCgGSAihUkQBOx2O3V1ddhsNvLy8qKii/zeAH9+/A0ODTPOfbyEREPC7wkLVni1Nd60hgUrl2DLTMXr9RLw+0m0Woe9q5UlaSCxQQwiy+HxDmaTZsuOObI8KLFkZTbzCjJpbXPQ1jb+eKWRkMTQjJ/ioky+cuXZY75Dl2WFbrub5q7wSqvTQVt3P+IINwX5C9O5eNNK0pLGF8EjimLURdXtdhMMBpEkiezsbBYsWEBiYuKQ11eUZdodLjr7XcSZTcSbTFjjLGQmW8ec2DBVuN1uqqurSUpKIi8vb9rnGU1EtAZ/H7VKUlxcrFVYdu3axXe+8x2+8Y1vcO211+qrpslFFygV1ZnX19dHZmYmhYWFmjCJQRGTOZQ+4PV6qaurQ5IkCgoKooYaikGRf+06yO4/VeHoOv6MpslCURSCfhFfeJXlD6+4RvNDMtviSSvKCuf/jd04EErHCGrChaJg1PazTOEN/NDojiu+dS7Zi+ciSTLd3S5a2+y0ttppabXT2dkf6tMaJ4qs4Pa4w822NowmIxvX53Hu5uUTLoOJkkxnn0tbYTV32GnvdQ0dNWI0cPqqXD65dimJ8eO/CKs9TXPmzCEtLU0bqud2uzGbzVErrVjJ6qIk0efxYTQYQm0GBgNxJuOYGnInA1mWaWhooLu7WzMUzRbUNPJIk8vgERqRoqWKbEpKCnl5eRiNRvr7+7nrrrtoaWnhqaeeYtGiRTP8rE5KdIFSqa+vx2KxIEkSXq+X3NzcqCmZTruL+pp6Olq7SE+ei0E0hBK+JRlPv5eOhi4aq1sI+icWlTQZyLJCwBeMKg8G/AOb7qF+JhFBEFhcXow1fbI23EMrPFEMmSgkSQRCJoyMrBSuuu0zpKQkD7moBoMSHR39mmi1ttnp7nZxnLm66uFCU4a9XhITE0Or2Ihvvb5sCZ85b8Wk79UERYm2HmdoT6vLQUung84+F4oCFrOR8pIcTluZS3rK6HuzInuaIl1tgx+jho729/fj9XqxWCxRoqXatSMRJQlRVsKGBkAIJTdM1R6WKrKZmZnk5uaeEKuKwaLldDo1l1swGGThwoXYbDbmzp3L22+/zV133cW2bdu46qqrpuz5vf7669x4441IksS1117LHXfcEfX1xsZGrrzySux2O5Ik8cADD3DBBRdMybnMELpAqahpDXa7nX/961/MmTNHm5fT19dHa2tr1J6GJMl0N/XQUt9OS20bbYc76GzqnrWvjiTJ+Dx+HHYXfm8ARRKQJIWEFCsLywqnNNFZfW3zVs6lZMM8jEYjKSkpx10J+PxB2tscUSstu8OjfV0MhoY5mkymUPlrGKdgUeF8LtqylvgJrGpGgz8o0hqxl9XS5SDZGs+aggUsWzIPa0LscuNEe5rUtGz1j8/nIz4+Pkq0Ys0lGtx6MJyxYSyIokh9fb3WcDuevr/Zgsvl4uDBg9hsNlJTUzl69Ci33norPT09iKLIV77yFc455xzKysqiRslPFpIkUVhYyJtvvklOTg7l5eW88MILUaOArrvuOtauXcvXv/51Dh48yAUXXHDcvL0TED0sVuU3v/kNycnJlJaWsmHDBpxOJx9//LHWtJuYmIjH46Grq0u7U523OIN5izNY9+mVAAR8AdoOd9Ja305LfTut9e30dztHOPLUE+pt8hEQ/aRnJmtzpsSghN8bZOnSdIT4OFqP9eB1jy39YCQi45va6t2UbsykZM1C+vv7cTgctLe34/V6iYuL05xtycnJxMfFsXjxXBYvHthQd7v9NDZ2s+/DGtraHFitc/CP4HSsqW3n6V/+nYu2rCUnZ3jH3USJM5tYsmAOSxYMDIX0+IK0dDnYW9OC0SBgTbCQkWYjKz0JQRCieprU5s4xHzcujoyMDDIyQqkWkSMeHA4HTU1N+P1+bZie+sdisQwJF55I82tXVxf19fUsWrSIoqKiGXMYRlY9xoMsyxw7dozOzk4t1UJ198qyzPe+9z1OO+009u3bx2uvvUZLSwtXXnnlJD6DEJWVleTn55OXlwfA1q1b2bFjR5RACYJAf39oK8HhcGgN0Cc7p+QKaufOnezatYuqqipaW1uRJIm8vDxuv/121q5dq9Wd1Te++qZPSUnRLqqxLjCuPrcmVq117bQe7sDv8U/Lc1IUhUAggMfjIS4ubthpsHOy0vja9v+HwWjA3uOi9VgPbcd6aDvWS1tTL+IYnG0jYTQa+NI3P8XCpZlRn1eHvamvbyAQiGrOTE5Opr29nebmZm2lAdDv9NHaYo8qD/pilFkFBMpKF7Ppk0UkJk7dfKeRcHr89DhctLe24Ha5KCrMZ37mXEyTPAwxkshheuqfWK/v8dxtkb83kSLg9/upqakBoKio6LhTZKeD0YxZHw511ZSens6SJUswGAzY7XbuvPNOent7+dnPfjZt8T8vvfQSr7/+Ok8//TQQuoGuqKjgscce0x7T1tbGueeeS19fH263m7/+9a+TMipoFqGX+CIJBAJcc801dHZ2cu2119LX10dVVRUffvghAGvWrKG0tJSysjIKCwsJBALafoDah6FusqakpGCz2WL2uPS29dFS1xESrfp22o92Ik+SfVxFFEMlMEEwYLUmjpj/dc7/O5PTtgztHJckmZ52B63HekLC1dhLV6t9QnOeLHEmLvvaJ1lUMG/YxyiKgtfrxeFw0NXVRXd3N0ajkbS0NFJTU4+b1tDT69bEqrXVTnu7Q3MOxllMbFifR3nZEmy26b+YqiuNnJwccnJCMUPe8P6g0RCKpw9lHU6tqSHWnosoikNEK9ZNl3p9UK3j+fn5zJ07cmDvbCXS0FFSUkJSUhKKovDGG29w7733csstt/Dv//7v07qXNhqB2r59O4qi8O1vf5t//vOfXHPNNezfv/+E2PMbJbpADaayspLy8vIhd4xut5sPPviAiooKqqqqtH6p0tJSSktLWb9+PZmZmbjdbk20nE4nRqNRe7OnpKTEdl4FRToaujXBaqlrp7etb1znr44/UF1Jo7X1Gk1Grv2vL5OxcOTxBsGASEdzX1iwQsLV1+Ua03mazEYuvvoM8lcMf0eqRksFg0Ft6KPanOlwOHA6Q+XTyJuCWI2vkiTT1e0MiVZ4P6u3101R0XzWrFrI4sVzMUxx2kVkT1NhYeFxVxrq+JTQRBVBq8RNtQBENr9GDikcnIbh8/k4dOgQVquV/Px8TCbThEtrM4XT6aS6upq5c+eyePFiDAYDfX193HHHHTidTp544okZKZ3985//5N577+WNN94A4P777wfgzjvv1B6zfPlyXn/9dW1MRl5eHnv27NGqCycBukCNF3VKZmVlJXv27KGqqor29nby8vIoKyujrKyMdevWER8fH+W8UsttalkwJSUlZr+Oz+2n9XC4LBgWLXeESSDW+fh8Prw+H4kJCcTFxY35gjFvcQZX3/9FjOO4e/e6/bQ19oZKg2HRcvWPPILi9HOXceYFqzAaI1PXZZqbm2ltbSUvL4+MjIxhn0usxtfIm4Lk5OSYPUTBoER7h4PWVjv9/T6SkuJIn2MjNzcdi2XytmFlWaaxsZH29nYtq208TMfk11hERjg5HA66u7sJBoPMmTOHuXPnkpycHLL2z7JG4ZGQZZmjR4/S29tLSUkJNpsNRVF47bXX+P73v8/tt9/OF7/4xRlbjYiiSGFhIW+99RbZ2dmUl5fzu9/9juXLl2uPOf/887n88sv5yle+QnV1Neeccw4tLS0n5I3CMOgCNZnIskxtbS0VFRVUVFSwb98+/H4/K1as0ERr+fLlSJKkveHV/QCr1artZw1XuurvdkYZMNoOdxL0B7Xx3urY+In8gpaeu4rPXPupCf+SK4qC0+7RyoLqaivgG5rhNy8njfMuKyNnSQa9vaEEePWOdjwXvmAwOOSmQLVjqzcGsQTc5wvS1eXEYBAwW0yYzUZsVgtm8/gEK3JOk3p3PlVEvmen4gLlcDg4dOgQmZmZLFy4cEh5EIjqIYpV3h7uvKf7gtrf3091dbWW/mIwGOjt7eW2227D5/PxxBNPMH/+/Gk9p1i8+uqr3HTTTUiSxNVXX813v/td7r77bsrKytiyZQsHDx7kq1/9qhah9V//9V+ce+65M33ak4kuUFON3+9n3759VFRUUFlZyYEDB7Baraxbt04TrUWLFuH1eqNEC0JveFW01PibSJxOJ++/t5e+FgcGn5nOhh66mrpDgbAT4OwvncEnPl8+oe8RC0VR6O3sp7VhQLQ6mvuQJBlZlpizIIHisixOO2udNrBxsoi0Y0eaXIY42wbh9YYyGg0GAwZDqNxmMhmPe1EdTU/TVDIRo8BgIq3jxcXFUSHKkQwX4RQpWsPlDk7navDIkSP09fWxbNkyrFYriqKwc+dOfvSjH3HnnXeydevWk2kFcqKjC9R0oygKfX19VFZWaqLV2NhITk6OJlilpaUkJyfjcrk0wVJ7flSxstvtOJ1OCgsLSUsbsE8HfAHaj3ZF7WeNJ9XiM9d+irLzVk/mU49JwB/kow+qqTtwDIOcQH+3j0RbPKs25lG0Koe4YfqHJopaEo00uQSDQW0lq15UY61kJUmOmsIsCAOhwRPpaZptRFrHh8s0PB6xIpxGU36NxUSFTF0Bzp8/n0WLFiEIAt3d3dx6663Issxjjz3GvHnDm3Z0ZgRdoGYDau/Fnj17qKys5P3338fpdFJcXExpaSnl5eWsWrVKq5Gnp6drd/uq1f14VmG3wzNQGgzvafncI1vdN362lHP+35lTdpHt6emhrq6OefPmRSUO+L0B2pv76GyxE5dgxpoUz9x5yaSkDx3eN5lEmgRUE4Ysy6NyZkb2NKkhoieSOE2XdVwtv6qi5fF4MJlMI0Y4jVegJEnSUu1LSkq0VdMrr7zCfffdx1133cVll112Qv2sTiF0gZqtBINB9u/fr4nWP/7xDxwOB8uWLePyyy+nvLyc/Px8AoFAVGlQdV2pojXcDKK+DkeEAaON9qNdSDFCXBcty+bC6zeTnjV5Ta5er5fa2loEQaCwsJD4+PgR/4+734vXE8BsNmIyGzGYDMQnWKb8wjJ4ZIbT6YxKH7fZbLS3t+NwOKLmNMW6oM52p1vkCjA/P19r/p1q1AinSNEaTYTTSNjtdg4dOsSCBQu0UTldXV3ccsstGI1GHn300ZPJ8XYyogvUbEdRFK666iocDgd33303drtdcw3W19eTkZGh9WaVlZWRkZExZBWgXlBV0YpVVpFEic5j3VFNxd2tvaCAyWxi45Z1rL9wHYnjTOyG0N3ssWPH6OrqoqCgYNyONvV1CQZEBIOgJXcLBmFaXFdq6aqlpYWuri6MRqPWP6QlYcS4oM5mgVLHSERax2eSWBFOatpIpGjFQpIk6uvrcblcWuSSoij86U9/4sEHH+See+7hkksumbU/Cx0NXaBOBBoaGmLOmFHveCP3s7q7u8nPz9f2stauXUtcXFxMq7t6QT2e1b39aActtaHyYE9LL3mrc1lzzgrm5Y7t7rqrq4vDhw+TlZXFwoULp0RIBjvZJtMsEIna02QymSgoKCAuLk5byao3BoMz8YZ7jSPPeyYumJHRPkVFRVOSKzcZREY4qX/8fr/2Gqs3Bm63m5qaGrKzs8nJyUEQBDo7O/n2t79NXFwcjz766JTNoxop3BXgD3/4A/feey+CILB69Wp+97vfTcm5nCToAnWyIUkShw4d0gRr3759SJLEypUrtVVWSUkJoigOa3UfziAA0N/jorW+naA/SNIcG9bURNIXpA0rOB6Ph5qaGsxms3Yxn04mc9Uylp4m9YIaacJQ44UiX+PjJTXA1IqWw+GgpqYmqkn1RCIywslut9PR0YEoiqSmplJVVUVmZiYOh4Mnn3yS733ve3z+85+fstdcC+TVAAAYnUlEQVRzNOGudXV1XHbZZbz99tukpaXR2dmplxiPjy5QJztqZNDevXuprKyksrJS28xXS4Pl5eUsWLAgyurudDpRFEWzuqv7LYPf4LIs47Z7MFlMmCwmjCYDBoMBSZK0RsiCgoIop+GJyGT0NEXGC6mvcWRSg2rCmOqmV1EUOXz4ME6nUzMOnMj09vZSW1tLTk4OCxYswOfz8fzzz/PSSy9x9OhR0tLSWLFiBeXl5XzrW9+aEpEaTfLDbbfdRmFhIddee+2kH/8kRU8zP9kRBIHExETOOOMMzjjjDCB0oezu7tZKg7/97W9pbm4mNzdXE63S0lJsNps2MK+hoUGzug/ea0maM+CuUxSF9vZ2DtcfJntBNqtXrTnh7swjiexpWrly5YR6mgRBwGq1YrVaycrKAkICr77GLS0tUU2vx7sxGC/d3d3U1dWxcOFCCgunbszKaJhoaVMURerq6vD5fKxZs4b4+HhkWebPf/4zzzzzDD/84Q/ZsmWL1kB/4MCBKXu+LS0tWuQQQE5ODhUVFVGPqa2tBeATn/gEkiRx77338pnPfGZKzudk5qQXqNHUik9mBEEgIyODCy+8kAsvvBAYaGKsqKjgzTff5P7778fr9bJs2TJNtNauXatF/DscDlpbW/H5fFrDa1xcHG1tbSQkJFC+vjxqzyUYCE3chXDZzWDAPImRQpPNdPU0RToCVdSmV4fDod0YjCbTcbjnIQgCgUCAmpoaZFlm3bp1M546DhMrX/b09FBbW0tubi7FxcUIgkB7ezs33XQTqampvPPOO1oJ1mg0UlJSQklJyWSd+rhQBXXXrl00Nzdz1lln8fHHH8/afb/Zyuy9akwCkiTxjW98I6pWvGXLlqha8amIwWAgPz+f/Px8vvzlLwOh1cO//vUvKioqePrpp9m/fz8Wi4W1a9dq+1mrVq2iq6uLiooKUlNTNUNGbW1tlNV9sBiFRtVHj8UwGA3jygGcbCZjTtNEMBqNpKamRl24gsGgtpfV0dERNUNLFa1YoqMoCm1tbRw7doylS5eSmZkZc+bTiUIwGKS2tpZgMMjatWu1VdMLL7zAI488wn333ce//du/TfvKMDs7m6amJu3fzc3NQ0Zz5OTksGHDBsxmM0uWLKGwsJC6ujrKyyc/teVk5qTegxpNrVgnNoqi0N/fT1VVVVTeoCiKfOpTn+Liiy+mtLSU9PR0PB4PDodjzFb3wWNHTBbTtF1sJEniyJEj2O32qJ6m2cpgE0bkjDK1abu+vp6EhAQKCgo0oT0Re7RgINli8eLFzJ8/H0EQaGtr48YbbyQjI4Pt27fP2F7naMJdX3/9dV544QV+9atf0d3dzdq1a/nwww9JTx95gsApyqm3BzWaWrFObARBICUlhU9/+tOUl5fz9ttv89nPfpbrr7+empoa9uzZw09/+lN6e3spLCzUUjDWrFmD2WzWmjHr6+uHWN3VEuHgFZQYFNHulxQFBGFKSoOdnZ0cPnxYi5ya7RdrCE3TzczM1JxgqiHGbrdz5MgRnE4ncXFxmM1mWlpahg0iVpmpxPSRCAaD1NTUIEmSVp6UZZnf/va3PPbYY9x///1ccMEFM3q+JpOJxx57jPPOO08Ld12+fHlUuOt5553H//3f/7Fs2TKMRiMPPfSQLk7j4KReQY1mEJjOyCiKQk1NDcXFxUO+Jooi1dXVWkPxhx9+iKIorF69WtvPKioqQpIkbQWgTtG1Wq1RohXrYhoMRCeiGwzCuEuDsXqaTmT6+/s5dOiQNhUWiJrxFBlEPJbk8Znq1VJvHJYsWcK8efMQBIHW1la2bdtGVlYW//3f/63v4Zy8nHo2c73EN/2o9mp14GNlZSW1tbWkpaVpAx/Ly8vJysrSpuiqF1PV6n68gYSKogwZS6/a3YdjsuY0TYTIi/5EBSAyc664uBibbfjcQkmSooKI1eTxkUqwsc5/qgRLNXUoikJxcTEWiwVZlnn++ed58sknefDBBznvvPNmzSpPZ0o49QRqNLVinalHURQ6OzujUjDa2tpYsmRJ1MDHxMREbUqxw+HQHG1qAsZwsUKSJA/dzzKHAlync07TRBmNCKihu5HpCWNFbdxWV7OD8/BUE8Z0CEJHRwdHjhwhLy9PSxhvbm5m27ZtLFq0iIceeoiUlJQpPw+dGefUEyiIPQhMZ+aRZZm6ujpNsPbu3YvP52P58uXaKmv58uVRVvfIWKFI0YqV6u71eKmtrSPg91NUXIzVmjgrXIPHI9Z7URWJQCBAbW0tkiRRVFQ0qtDdsRAIBKJWs5HxTerrPFx803iPd+jQIQRBoKioSFs1/frXv+app57ioYceYvPmzfqq6dTh1BSo2UBTUxNXXHEFHR0dCILAddddx4033khvby+XX365lr/3hz/84YRPYZgIfr+fDz/8kIqKCqqqqti/fz8JCQmsW7dOE63c3Nyoi6nD4YhKaEhOTsbpdNLc3BzV06QoypAEd8FgiBo/P9tQ35vt7e00NDRE7c1Mx7HVaCH1tVZnaEWGuI7Vlq8oCh0dHRw9ejQqRb2pqYlvfvOb5OXl8dBDD5GUlDQVT0tn9qIL1EzR1tZGW1sb69atw+l0Ulpayssvv8xzzz3HnDlzuOOOO3jggQfo6+vjwQcfnOnTnTUoioLdbqeqqkozYTQ0NJCdnR2V6p6amorH4+HQoUN4PB4AbZWlrgBi7bMMFi1BEDAYDbPmrt3r9VJdXU18fDwFBQWYzeaY2X3TZRuPnKGl/omcoTXcyBcVv9/PoUOHMJlMFBYWYjabkWWZZ599lmeeeYaHH36Yc845Z9a8/jrTii5Qs4XPfe5z3HDDDdxwww3s2rWLrKws2tra2LRpkzY8Tic2quFB7c2qqqrCbrdjsVhwu9088MADnHnmmZrVXS0NqvsskaIVy8UnSTIMek9Md2kw0tRRVFQ04qp6JkVLjW9SV1lqH1xkfFNiYiIdHR00NDRQUFCgJYwfO3aMb37zmxQVFfHggw8e1+wxUUabKPPHP/6RSy+9lKqqKsrKyqbsfHSGoAvUbKChoYGzzjqL/fv3s2jRIux2OxC6oKSlpWn/1hkdr732GnfeeScXXnghOTk5vP/++3z00UcIgsDatWu1lVZhYWFUqrtqdR9N4vjQ0uDUzaIabB0f73GGe19Ph2hFjn/v6+ujt7cXo9FIZmYme/bsYcOGDbz33ns899xz/PjHP2bTpk1Tel6jSR8HcDqdXHjhhQQCAR577LFJE6ienh4tSFlnWE69Rt3Zhsvl4pJLLuEnP/nJkOQCQRD00sY4iI+P54033tAcYDAwll21ut93333U1dUxd+7cqFT3zMxMzere2dlJfX09iqJoU4pVq/vgFVSs/ayJlgYjky2WLVs24dVErHNRFGVaepxMJhOpqal4vV68Xi+rV68mKSmJrq4u9u3bx5NPPkl7ezvr1q3jb3/7GwBnn332lJ1PZWUl+fn55OXlAbB161Z27NgxRKD+8z//k9tvv52HHnpo0o5dVVXFr3/9a8rKyigoKDghUjxmE7pATRPBYJBLLrmEL3/5y1x88cUAzJs3j7a2Nq3Ep8+LGTuxLmyCIJCUlMSmTZvYtGkTMJC8rpYGf/7zn9PZ2Ul+fn5UQG5iYqJWsjp27Bgul0sLb1VFKz4+PrZoDbK6j9aAEWkdn8pki+FEazSPGws+n0/bO1PzDSVJYufOnXzwwQc8/vjjnHnmmbS2tlJVVUVbW9uEjjcSo0mU2bt3L01NTVx44YWTIlDt7e1cdNFFZGdn849//EMr0+riNDZ0gZoGFEXhmmuuoaSkhG9961va57ds2cKvfvUr7rjjDn71q1/xuc99bgbP8uRGEASysrK46KKLuOiii4DQqqW2tpY9e/awY8cO7rnnHoLBIKtWrdJcg6WlpQBaabCtrS3K6q4Kl9lsxmgcOj8r8vovCESV7FTruCiK2giJ6SaWcWS8MUiKotDS0kJzc3NUQ/Thw4fZtm0bq1evZvfu3doYk5ycHHJycibhWUwMWZb51re+xXPPPTdp37Ouro4tW7bwne98h6uvvpq6ujrtWLO5F2+2oe9BTQPvvfceZ555JitXrtR+Oe+77z42bNjAZZddRmNjI7m5ufzhD3+YkZQDnQG8Xi/79u3TDBgHDx7EZrNFuQZzcnK0se+qOUAUxagpxcPl4IVEK7SaO9ZwjLyledNmHR8voylLqY7DxMRECgoKMBqNSJLEU089xe9+9zseeeQRzjzzzGk642hGSpRxOBwsXbpUK6u2t7czZ84cXnnllXHvQ9199900Njby3HPP0d/fT3l5OTt37tT2ofRS3xB0k4RObCRJoqysjOzsbHbu3MnRo0fZunUrPT09lJaW8pvf/GZSmzRPJBRFoaenJ8rq3tTUxMKFC7UVVmlpKcnJyVqqu+pmU0uNamkwMTERn8/HoUOHiIuL01LHY61YTpSLl6IoNDc309LSEuU4rKurY9u2bZSVlfGDH/xgQsMfJ8pYE2U2bdrEww8/PCGTRGVlJc8++yw333wzhYWFLF++HJvNxhlnnMF99913wudATgG6SUInNo888gglJSVauOjtt9/OzTffzNatW7n++ut55pln+PrXvz7DZzkzCILA3LlzOf/88zn//POB0Cro6NGjVFRU8NZbb/Hggw/idrspKSnRVllr1qzBZDJpq6z6+nrsdjuSJJGRkcHcuXORZTmmGE2kzDadeDweqqursdlslJeXa6umJ598khdffJFHH32UT3ziEzN9mqNKH59srFYr8fHx/P3vfycYDHL++edTWlrK5s2bdXEaA/oK6hSnubmZK6+8ku9+97ts376dP//5z2RkZNDe3o7JZBpSHtGJTTAY1AY+VlZW8vHHH2MymVi7di1ZWVn8z//8D9u3b6e0tDSqb8jv94/K6j4VZobxoigKTU1NtLa2UlxcrCWM19TUsG3bNjZu3Mj3v/99EhISZuT8ZgsvvPACb7zxBq+++io/+clP+NKXvgTo+1DDoJf4dIZy6aWXcuedd+J0Onn44Yd57rnn2LhxI/X19UAogub8889n//79M3ymJxZqpM/NN9/Mnj17WL16NUeOHGHevHmsW7eO8vJyysrKmDt3Ll6vN2o/S01nUEVruBEZM7HKcrvdVFdXk5KSQl5eHkajEVEUefzxx3nppZd4/PHH2bhx45Sfx4mCy+XC7/drs6D0vadh0Ut8OtHs3LmTzMxMSktL2bVr10yfzkmFIAi89tprnH766Tz//PMYjUbN5aZa3R9//HF6enooKCigrKyM0tJSbbS5y+Wiv7+fxsbGYa3ux7ONT/ZFUFEULd2iuLhYSxg/dOgQ27Zt44wzzmD37t0z4kSczdhsNmw2G5IkYTQadXEaI/oK6hTmzjvv5De/+Q0mk0kLBv385z/PG2+8oZf4pglJkqIGPu7btw9FUTSre1lZGcXFxSiKEjUiw+v1TmnaeCRut5uDBw+SlpZGXl4eBoMBURR59NFHefnll3niiSdYv379lBxb55RBL/HpDM+uXbt4+OGH2blzJ1/4whe45JJLNJPEqlWr+I//+I+ZPsVTAnXg4969e7X5WTU1NaSmpkYNfFywYIGW6h6ZNq6mYBzP6h55LBh+tSXLMseOHaOrq4vi4mIt/eTgwYNs27aNTZs2cc899+ib/jqTgS5QOsMTKVBHjhxh69at9Pb2snbtWp5//nn9IjSDKIpCd3e3VhqsrKyktbWVxYsXa4K1bt06kpKStLRxh8MxxOqenJyM1WodVZnJ5XJRXV3NnDlztEzAYDDII488ws6dO3niiSf0MFWdyUQXKB2dkwVZljl8+DB79uyhsrKSDz74AJ/Px7JlyzTRWrFiBUajMao06Ha7tem5kVOKI79vQ0MD3d3dlJSUaHOZDhw4wDe/+U02b97MXXfdNaU3LCMlj2/fvp2nn34ak8lERkYGv/zlL8nNzZ2y89GZFnSB0jlxsNvtXHvttezfvx9BEPjlL39JUVGRPuDxOAQCAT766CNNtA4cOEB8fLyW6l5eXs6SJUsQRTGqNKha3ePi4ujt7SUzM1PbawoGg2zfvp3XXnuNn/3sZ6xbt25Kn8Noksf/9re/sWHDBhITE3nyySfZtWsXL7744pSel86UowuUzonDlVdeyZlnnsm1115LIBDA4/Fw33336QMex4A68PH999/XTBhHjx5lwYIFUdFNiYmJPPvss6xevZqUlBQ8Hg833XQT8+bNo6GhgbPPPpvt27djtVqn/JxHiiUazL59+7jhhhvYvXv3lJ+bzpSi28x1TgwcDgfvvvuuFt5psViwWCzs2LFDs8NfeeWVbNq0SReo4yAIAmlpaWzevJnNmzcDA3bxiooKdu/ezQ9/+EMaGxtZs2YNoiiyfv16li9fzoUXXsju3bu55JJLaGtr48wzz2Tx4sX87//+75Se82iSxyN55plntIQPnZMPXaB0Zh1Hjx4lIyODq666io8++ojS0lIeeeQROjo6yMrKAmD+/Pl0dHTM8JmeeAiCQG5uLrm5ubS0tGCz2di1axeSJFFRUcHvf/97/vKXv3DppZfy5ptvRlnXfT7fDJ75UJ5//nnef/993nnnnZk+FZ0pQhconVmHKIrs3buXn/70p2zYsIEbb7yRBx54IOoxJ1Kg6mzlc5/7HNu2bdOs6KtXr+a6664bNu1gOppws7OzaWpq0v7d3NxMdnb2kMf99a9/5Uc/+hHvvPOO7jA9idEDoXRmHeqcoA0bNgChOKa9e/dqAx4BfcDjJKBGFQ1mJoW/vLycuro6jh49SiAQ4Pe///2QMNd9+/bxta99jVdeeUX/HTjJ0QVKZ9Yxf/58Fi5cSE1NDQBvvfUWy5Yt0wY8AvqAx5OUyOTxkpISLrvsMi15/JVXXgHg1ltvxeVy8YUvfIE1a9ZMSRq5zuxAd/HpzEo+/PBDzcGXl5fHs88+iyzL+oBHHZ2TE91mrjNxqqqquOaaa6isrESSJNavX8+LL77IihUrZvrUpo0f//jHPP300wiCwMqVK3n22Wdpa2vThzzq6IwfXaB0Joe77roLn8+H1+slJydn2B6Vk5GWlhbOOOMMDh48SEJCApdddhkXXHABr776KhdffLGWX7h69epTdsijjs44iClQ+h6Uzpi5++67efPNN3n//fe57bbbZvp0ph1RFPF6vYiiiMfjISsri7fffptLL70UCPVovfzyyzN8ljo6Jz66QOmMmZ6eHlwuF06nc9b1xkw12dnZ3HLLLSxatIisrCxSUlIoLS0lNTVVm4Sbk5NDS0vLDJ+pjs6Jjy5QOmPma1/7Gj/4wQ/48pe/zO233z7TpzOt9PX1sWPHDo4ePUpraytut5vXX399pk9LR+ekRG/U1RkTv/71rzGbzXzpS19CkiROP/103n77bT71qU/N9KlNC3/9619ZsmQJGRkZAFx88cXs3r0bu92OKIqYTKZhm0t1dHTGhr6C0hkTV1xxBX/84x8BMBqNVFRUnDLiBLBo0SL27NmDx+NBURStR+vss8/mpZdeAk6dHq3XX3+doqIi8vPzhyR9APj9fi6//HLy8/PZsGEDDQ0N03+SOic0ukDp6IyBDRs2cOmll7Ju3TpWrlyJLMtcd911PPjgg2zfvp38/Hx6enq45pprZvpUpxRJkvjGN77Ba6+9xsGDB3nhhRc4ePBg1GOeeeYZ0tLSqK+v5+abbz7lysE6E0e3mevo6IyZ0YzFOO+887j33ns57bTTEEWR+fPn09XVpWco6sRCt5nr6JysXH311WRmZkY1TPf29rJ582YKCgrYvHkzfX19QGjkxrZt28jPz2fVqlXs3bt3zMeLNRZjsHMx8jEmk4mUlBR6enrG8/R0TlF0gdLROQn4yle+MsRN+MADD3DOOedQV1fHOeeco+0Tvfbaa9TV1VFXV8fPf/5zvaFYZ9aiC5SOzknAWWedNSSXcMeOHVx55ZVAdPPwjh07uOKKKxAEgY0bN2K327WU+NEymrEYkY9Rx8ynp6eP+bnpnLqMtAelo6NzgiAIwmJgp6IoK8L/tiuKkhr+uwD0KYqSKgjCTuABRVHeC3/tLeB2RVHeH8OxTEAtcA7QAlQBX1IU5UDEY74BrFQU5XpBELYCFyuKctkkPFWdUwS9D0pH5xRAURRFEIRJuxtVFEUUBOEG4A3ACPxSUZQDgiB8H3hfUZRXgGeA3wiCUA/0Alsn6/g6pwa6QOnonLx0CIKQpShKmyAIWUBn+PMtwMKIx+WEPzcmFEV5FXh10Ofujvi7D/jCmM9aRyeMvgelo3Py8gpwZfjvVwI7Ij5/hRBiI+BQFGVsm1A6OtOAvgelo3MSIAjCC8AmYC7QAdwDvAz8AVgEHAMuUxSlN7wf9RjwGcADXDWW/ScdnelCFygdHR0dnVmJXuLT0dHR0ZmV/H9i0JiZq5NjEwAAAABJRU5ErkJggg==\n",
- "text/plain": [
- "<Figure size 432x288 with 1 Axes>"
- ]
- },
- "metadata": {
- "needs_background": "light"
- },
- "output_type": "display_data"
- }
- ],
- "source": [
- "# barycenter interpolation\n",
- "\n",
- "n_weight = 11\n",
- "weight_list = np.linspace(0, 1, n_weight)\n",
- "\n",
- "\n",
- "B_l2 = np.zeros((n, n_weight))\n",
- "\n",
- "B_wass = np.copy(B_l2)\n",
- "\n",
- "for i in range(0, n_weight):\n",
- " weight = weight_list[i]\n",
- " weights = np.array([1 - weight, weight])\n",
- " B_l2[:, i] = A.dot(weights)\n",
- " B_wass[:, i] = ot.unbalanced.barycenter_unbalanced(A, M, reg, alpha, weights=weights)\n",
- "\n",
- "\n",
- "# plot interpolation\n",
- "\n",
- "pl.figure(3)\n",
- "\n",
- "cmap = pl.cm.get_cmap('viridis')\n",
- "verts = []\n",
- "zs = weight_list\n",
- "for i, z in enumerate(zs):\n",
- " ys = B_l2[:, i]\n",
- " verts.append(list(zip(x, ys)))\n",
- "\n",
- "ax = pl.gcf().gca(projection='3d')\n",
- "\n",
- "poly = PolyCollection(verts, facecolors=[cmap(a) for a in weight_list])\n",
- "poly.set_alpha(0.7)\n",
- "ax.add_collection3d(poly, zs=zs, zdir='y')\n",
- "ax.set_xlabel('x')\n",
- "ax.set_xlim3d(0, n)\n",
- "ax.set_ylabel(r'$\\alpha$')\n",
- "ax.set_ylim3d(0, 1)\n",
- "ax.set_zlabel('')\n",
- "ax.set_zlim3d(0, B_l2.max() * 1.01)\n",
- "pl.title('Barycenter interpolation with l2')\n",
- "pl.tight_layout()\n",
- "\n",
- "pl.figure(4)\n",
- "cmap = pl.cm.get_cmap('viridis')\n",
- "verts = []\n",
- "zs = weight_list\n",
- "for i, z in enumerate(zs):\n",
- " ys = B_wass[:, i]\n",
- " verts.append(list(zip(x, ys)))\n",
- "\n",
- "ax = pl.gcf().gca(projection='3d')\n",
- "\n",
- "poly = PolyCollection(verts, facecolors=[cmap(a) for a in weight_list])\n",
- "poly.set_alpha(0.7)\n",
- "ax.add_collection3d(poly, zs=zs, zdir='y')\n",
- "ax.set_xlabel('x')\n",
- "ax.set_xlim3d(0, n)\n",
- "ax.set_ylabel(r'$\\alpha$')\n",
- "ax.set_ylim3d(0, 1)\n",
- "ax.set_zlabel('')\n",
- "ax.set_zlim3d(0, B_l2.max() * 1.01)\n",
- "pl.title('Barycenter interpolation with Wasserstein')\n",
- "pl.tight_layout()\n",
- "\n",
- "pl.show()"
- ]
- }
- ],
- "metadata": {
- "kernelspec": {
- "display_name": "Python 3",
- "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": "3.6.9"
- }
- },
- "nbformat": 4,
- "nbformat_minor": 0
-}