From 1769d5575234c94593a1e56b2ec5c719fa74fdfa Mon Sep 17 00:00:00 2001 From: lgrcia Date: Mon, 4 Nov 2024 14:05:24 -0500 Subject: [PATCH] docs: add multi band tutorial --- docs/index.md | 2 + docs/notebooks/multiband.ipynb | 195 +++++++++++++++++++++++++++++++++ 2 files changed, 197 insertions(+) create mode 100644 docs/notebooks/multiband.ipynb diff --git a/docs/index.md b/docs/index.md index ba20602..4486fde 100644 --- a/docs/index.md +++ b/docs/index.md @@ -23,6 +23,8 @@ notebooks/introduction notebooks/surface_gp notebooks/ensemble notebooks/spectral +notebooks/multiband + ``` ```{toctree} diff --git a/docs/notebooks/multiband.ipynb b/docs/notebooks/multiband.ipynb new file mode 100644 index 0000000..bc4fbb6 --- /dev/null +++ b/docs/notebooks/multiband.ipynb @@ -0,0 +1,195 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Multi-band light curves\n", + "\n", + "In the [previous tutorial](./spectral.ipynb) we saw how to instantiate a [Star](spotter.star.Star) with a spectral map. Here, we demonstrate how to compute the light curves from such a map, which could originate from observing a star at different waveband.\n", + "\n", + "We will assume that the intensity of the quiescent photosphere and its spots can be modeled as blackbodies with different temperatures." + ] + }, + { + "cell_type": "code", + "execution_count": 46, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 46, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import jax.numpy as jnp\n", + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "\n", + "\n", + "def planck(wavelength, temperature):\n", + " h = 6.62607004e-34 # Planck constant\n", + " c = 299792458 # speed of light\n", + " k = 1.38064852e-23 # Boltzmann constant\n", + " f = (2 * h * c**2 / wavelength**5) / (\n", + " jnp.exp(h * c / (wavelength * k * temperature)) - 1\n", + " )\n", + " return f\n", + "\n", + "\n", + "wv = np.linspace(0.5e-6, 3e-6, 200)\n", + "np.random.seed(0)\n", + "bands = np.random.choice(wv, 3)\n", + "\n", + "plt.subplot(\n", + " 111,\n", + " xlabel=\"wavelength ($\\mu$m)\",\n", + " ylabel=\"spectral radiance ($W/m^2/m$)\",\n", + " title=\"Blackbody radiation\",\n", + ")\n", + "plt.plot(wv * 6, planck(wv, 2200), label=\"2200K\")\n", + "plt.plot(wv * 6, planck(wv, 3000), label=\"3000K\")\n", + "for b in bands:\n", + " plt.axvline(6 * b, color=\"k\", alpha=0.4)\n", + "plt.legend()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We then define using a Gaussian Process on the surface, as shown in the [GP tutorial](./surface_gp.ipynb)" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "metadata": {}, + "outputs": [], + "source": [ + "import jax\n", + "import tinygp\n", + "from spotter.kernels import GreatCircleDistance, ActiveLatitude\n", + "from spotter import Star, show\n", + "\n", + "star = Star.from_sides(20, period=1.0, u=(0.1, 0.2))\n", + "\n", + "spot_kernel = 0.001 * tinygp.kernels.Matern52(0.1, distance=GreatCircleDistance())\n", + "kernel = ActiveLatitude(\n", + " kernel=spot_kernel,\n", + " latitude=0.5,\n", + " sigma=0.1,\n", + " symetric=True,\n", + ")\n", + "\n", + "gp = tinygp.GaussianProcess(kernel, star.x, mean=1.0, diag=1e-8)\n", + "spot = gp.sample(jax.random.PRNGKey(2))\n", + "spot = np.clip(spot, 0.6, 0.97)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Here, we decided to clip the surface to artificially create darker smaller size spots. Let's define the spectra of the pixels using the `planck` function and show the map. Our model of the star will be define by its surface temperature" + ] + }, + { + "cell_type": "code", + "execution_count": 48, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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ZE/S/dB/hnadQg27OzDNWbqsEIWKWhz2Wgy6+sjncaNJyJVJqkrRDi9QdYAZ9EFITRWYAz1wFQhoy0Nch92xsckNGBpKRiwDAthOS2GwzJMF0bgApNVEM53sDLvUHeFJx0O/gKkWSSMJY5rOEBIFGIo8cxH7eNXT+1g3sef4NWJ7z5LzwKaZ4BiAahpz/4n2sfu5eerc9xPChi7gyRqCxpEZgBnBbxoQ65uxgg2ESseT6LHk+tjK2JevvMiUAUo4mDWFo5cRACo1UCf044sHeGte3Z3GFY/p4LPPrAFhWnE8ukkSU9kmh2QljTne79OKIRafFvNVCCGNrwkQZYoEgSgSy4WE/5xpaL7iGPS+6kbnj+5/At3x1Y0oGHmckccKF2+7h4se/zODz92Jf3MSx4pzBK2k6oqVGLD3WMad723STgP2+z/6mi5QpAZCaJBZIZQZ5pBn08/uFEmFl5IC8c/eTyJCBmQ4NyzKKQIIZ9COJtJP8GloDiSCJRX4vnRKQbhjx0FaXIE444LWZc7zcrRAngihVG+LEGIxYCwbSQT73OJ0XP4uDL72VxuLsE/X6p5jiaYvu6hYn//rLrHziLqKvnsYKQxyZYMskJ/sq/TuzI1vhgHODbRwlONZq07LN5ECktiWJpZkgpCQAyO1HFJl9Sur0eHJF8YZOB1/aQGozEtPfdSKwrCTfDuSkQCcCqRKjIMRwadjnfK+PJx0O+TNYwspdk3EiCZPCpEILwkQS7J2l+eIb2feSZ3PgBTci1TQB7vHClAw8DtBJwrkvnODUX3yOnU/dyewgpGkXAvpkgqXMf1JoEi0MMbASBnrIw/0tBHDYn6HtWkilEengLyTEYUYMMNssnQ/+UX+0L99uQT+OuHt9kxs7HXxhpSTAEAIAy9eGHMRmWxKP9ilbj7bFgjDUnOn22IiGLLou+90WcayII5k/S6INMYhy1UAQJ7AWxiQ3H2Xvt7yAY9/2QvyFqc9wiiky9Na2ue9Dn+fMh28nPnGWOaXwLJ0H+VnKDP6WiknnB2m8UMylYJv1qMec43LAb6NS+6BkZjs0cTgiB5ldySYN0UDl+zJ7MyDins0Nbpzt4Au7ZAeyCYLlxaPJRTqByPYpO0GnE4sokmwHIae6OyASjjVn8IVbshEAiYYoVoSJsR8Ag1iz4Tu0X/Isjr38b3HwhTdPicFjjCkZeAyxft9Z7v3jj3Huw5+nszNk0bVxrEwB0MiUBGSMXKYM3Epn8lvRkFM72zRdi2OtFrYlcwJgTjCDu9bkg39WKSL7tw7M/0v7BPTimLvXNrmxM0PDTqN6E8yAn4BwCn8X9mX3ytQCIDcIK70BZ7pdWsrhWKuN0IbVR5E0BiA9Pk5JQZLFImjBTpBwMQxwn38j137nSznysuejXPvx/HmmmOIpiWgY8uBHbuPuD3yK7pceYI906LgSJYxdsGWMkhpLxaNIf5mMZvci4eH+FtthwOFmk0XPywd70uMze6GT0SQig7EVmiQQSIv8HIB+FHHv9iY3zo0mERmyyYR0NCSjyQOMJhPZPfPzEkEQak5u79ANIw412nQcN7cXmaoQJ6OMhSg2rgTjUtCshwHrTZfDr/gmbnrVS5i77sDj8bNcdZiSgUeJqDfk1Ic+x13v+2u6Jx7kQMNjj2sjhEDJBMeKjQKQymVZB1aWRqTyGolgJehxPugy17A5PtMChBl8pUYqM1gLAUhBMkw7uAShQFgCkY7vcb/Q+bPtUtCLI+5e2eSm+Q4NpdAR6EjnnVT56UCfbY9HhkPYAhJzrA4gicnbth2GPLi5jYfFUX8GpVVuTHQkiaNRB89kyiiWBJEiTiTDOOJsf8C2bXPNK7+Zm773W2lfM/UTTvHMx/q957jjDz/OvR/4JI1ByEHfp2XJXP53VIxjxSU/vqUSlDWaUASx5uHeJoEIOd5pMevbeeyPEGbQl85IOUzCdJC2UrtikU8a4v6INAjL2JZeHHPP+iY3LXTwlWXsQJzaiXSQV376QInZnsSGKAgJMlUVtYYkEHnbQPNwf5v1fsgBr8m8ahInIo9liGNJHKWTiFQx0FoQRIogVkSxYCMccH7Qo3HjcZ79vS/n+Cu+cRqb9CgwJQNfJ3pnVrjvD/6aO9/3YazBgEMNlznHxVI6dwFYaZStEGBZCcpOSj5+qTTSggv9HhcHPZYaPgdbjdLMPiMAUJjtJ4yOySCF2Rfp0b9TCCnohSkZWOzgq0K0boLR5Swx+neKTDXI7jlSDVISkW7rDSMe2NxGCsF17RlsoUgiMzuAUVxCJhVmX1wUqdyV0A0Tzvf7rAUhe299Fs/+vley93+7FTGVAqd4BiGJYs589A6+/Lsf4tyXTjBn2xz0fZq2ieTPCICsxAVkBKBoOyIZ8cDOJhrNNTNtGpZlZvaQy//m4HSbZQZrYY3iBMx+kRIFjVCiZFd6ccQ9a5ndsIw9SGHcAhppp6pA0Xbo0b10lD188TzTgNObXS71B+xv+Oz1mymRkCXbkRGDYjxBkpgJxTCSrAUDLg37hL7Pzf/gW7n5+76F5uHFR/1bXW2YkoFHiM2vPMT9v/0X3P2xz2DLkAO+xx7Xw1JgWzG2bb78LMrfchJEQZLLCIC0NcKCC1t9zu302NducHDWz2fzGfPOWDqWQKi0g4TadDwpEJYAlf4fSPopAZGF7VLQi2JOXNrg5sUODUuhIw2xRqcdWPqGIOTbo8I97PS+sUYHOicBWdt0BINBxN3LW1hIrp9tYzvSzBJCkRODXDKMBVEg86wFgDC0CCPFThhxrt9lM0iYP3CEW17zCva96puwphXOpngaI+wOOfW+z/OV3/kgq+fPMGNZHGk2aFoWShgF0bbifGZsqQTLGbkFIPXz20ZVTGTCPatbxFpz48IMniORDmPEXVgg7ZFymAQUbAcIRxhbASS99CSZqYrCuBfTSUTDsXLbYOxDenjDsIdsu45G95DpRN3YAp0Tg+LE5tx6n3PbffZ7DfY2fUNMIogjQRLKPP4AjNsgGFq5CzLRgjBSDEPJcjDg4qBHpC2uf9nf5cZ//m3MPe/4Y/cjPsMxJQNXiNVP3sXJd/4FD93+FWIGLHgOB3wf3zZ5tiqV/LMYAGknyHQCLoQhAEIZApAx7+XBgDM7XfZ3GhycbYxulkUGSXICUNpeJALVfZE2ncwqz6j7KRnIO3WGKDGd2ipcO0WREIzti0fGINs+iGLuubSFrQXXzbZR6ZREp/Khjg0xyAOFYpP9kMUYAMSRYfzL/YBz/R5RLJib3cf1r/4O9n/vS7A7zQm/0BRTPPUw3Ojy0O9+irv/4COsrF/EU5qDjQbzjperAJYyBF5KjWXFxn6oorvP2BJlpxJ6knD/zhZhnHDj0gyeo0YzfWlcekXXYd5/IVcBhRRQVAcwfVooUTq+F0TcvbrJzXtm8av5/4kenVO6EGaSEenxezNyRWZtBTiz3ePiTp+DbpM9vpcrB2ACpjPFIButMpUxilRODKJY0Q3gTK/PejjExuXY85/HNT/w7Sz+7Zsu91Nd9ZiSgctg5ZN3cfbtf8HZO++kp7fxLckBv8msa+E6ETJl7pkbQNplFUC5etQpIR/g18IhD/e67HFdDs+kA1w6+xeOTP1vSSrhGdlfOCoNEkxGg3RGCtLBXw/i/FZCCjPIK0k/ijhxYYOblmZpKAnRSBUAEF7a0aNkRAIy0pG1J4jNPkgNjszbo2PT+fthxL1rW7iuxfXtNiIWRskoIAlSxaDQ4ZNwpBYAJImgN5Sc7fZZDQZY2mVpZi/7/9G3cOCfvmxKCqZ4SmO40ePBd32Ch97zMVY3L4IYsuj67PN9PAWeE5bcAJYT5yl6kNoOJzHBeZDH6CA193e3CLTm+tkWvmWMSzb4C0eafp1dKrU3xb46usnIdggpSHpRviuzHf0k4cTqJjfvnaUhlbFJBdshpEB4Kh38C7Yju07BlpUmENKcq4MkJwent7ss9wYcm20z5zhj8Ulg4g7iQJZsRxRJokCV3AirPc3DvS79OKGjmuy/5Vkc+aFvZ89LbnlsfuBnIKZkYAJWv3Q/D/3Gn7J5192sxeskROz1fPY1XGw7zgv6KKlRboyyCkF90kTYFn1zWqdynSPYiUIeWNtmznc50mmaDpV21roZfq4ApExaR9p0VkdSdv4BwzgnACXfXxRzz8UNbtwzUgZ0AsSmc+NWWL/WECToRJsODQVmr+sVhbTT7wxCHljbouM5HJ1tpURCG59k4X3oyHRuXZA140gQD1Wew6w1bA/h5HaXQZQwa7XotPew79Uv5/BrXjZ1H0zxlELYG3LvOz/OyXd/jO3tFbrJJk1bst9rMesKbCsmC4NRIsF2o4LtMCl9ytZIq2yWpWMCeU9t77A1DLl2rk1DWUaGt0ZSf/mkkZswgw6SEgHIY4tSsk9mi9J+3Qsi7rm0wY1LsxVFURtikOh8kpJfp0AMctsBue0qkoW8XamScHJlh40g4NrZNi3HpDLqUBv3RgFJJIjDcopjHAnCoZWvnRDFmou9gDO9IZYwFRBnnnUT1/zId7L4t66b/CNepZiSgQpW7zvNl/7H73P+k7cz0DtsJ11Tca/p0XAAkbkCtAkIFCMSIC2NsNNjshxglfrc0z4RxgmnNrs4juLIfBMhRHlAl2Ik1RUl+nyfRMcFdk/K4kWqAoTlfdn2QZLw0PIWx+dbeEJB9We3jVqALisG5hnSexa3JxqUMD7EuNLBtWZrEHBuo8ei57Lgu4XzTOfWsc4ONbJiaDp4HqSoBXEoiaKUFCSaS72Q5UGILRXzagZndg/f8CP/mBu/+3+b5hxP8aQiiWK++gcf57a3/DH91RW24y1iAuZsn72+hWsnRpVPMwIsZxQMaNyIGlnYBiDsdMafblvpDVgZDjnUaTLTrImaVyZOqCi/AyN10TL9te48oaQZ3IsQMEwSHlrvcnyxjSdTO1C5hLDS7ROunROHIrI2xrp0ntaahze6DIOYo+0mdmFGY7KZTDZDcVsSSGM7sqyDOFULYglaMExiznQHdAOYdXwaosnSi5/Hi/7N9zF/3cHxNl+lmJKBFMFGlwfe8ues/NmnkLrHSrhBPwnZ33A52HJQKSm27QTlJqU8XeVopEupEwpLILwyY0+05r6NbWIJN+2bwyp0QGHJfKafBdoRJyNyYBVUgDBO04OMAlCKDximUp+Spj2pn683DLnnwgY37pul4doQxeb6mdFwK3EEccrsJWCnqoFOGX82+Kfqg04YKQmF57mw1ePcRpfjMy06VnnFMp1o9ECP3A5SpAGKEAeFdxYL4qEkTIul7AwjHtoa0A81e902TdlEHj7MsR/9bha+aeoXnOKJx4XP3sddv/R+hqfOE7HNariFo+BYs8m8bwZzgUZZMY4bV2xHgnJ0ScUTFkh35PPXCWwOAk72uuzvNNnfMfFFuRsxm+nnKp3Zl8/wCyqhHqYjqSVHdiWF7kekq5vltqUXRNxzYZ0b982NlIHUNqSaPMIv2w7jMkztQKo4ZvYsc3HmSigjpTFTDWIJ9yxvooTguk4LEabvJT8ekuEoGDG7fpy6EDIksSAYKuJIkWi4OOhxZifAFi5LzixKucy94u9w/Y+8End26na86smAThLOv++znH3rB3EG2wx1l/PDTTxLc+2sTzsdJC0rwfIKgT1pDq1wykF+0kn9ZNXUHUvw4OYOW0HITUuz+LY1cgsoOS7zZX9XAgFLikFJNUiPi+KcAOQQJrXwxLk1bi526gzZOUmFvRfiBsakvYzpV7ZrsxRi7jZ4cHWLzUHATYsdPCHHZUJtpMuiDJiRgiwnGtKAoYEJNky05sxOj4vdEF802OfOEMUO3oufy9Ef+4d4++aYYorHG91z69z93z/A+ifvxFMB69EGO3GfJc/mWNusByCECQoskQCpUVYaT1RI/5N2Ft1fuIkUDEk4sbbJrO9yzXy6AFg68BcH1ez4PBW5qpZNsh3ZvigZsze9MOLExQ1u3j9nipXV2QFLjm/fxXbkymZSsQVZnBTQ74fcvbzJrOdwbLZlXAxh+Xidux8ppS3GQ0EcCbIiaRkpiNJspZM72wwiyaI1T8vyCBszHPgXr+DgP/xGhKy8s6sIVzUZ2L7vPA/91/cQ3fMQvh2xEmyzFu2wx1ccm/VRQprAQCfJI3mFBOlqpE2pQ0kHhFv+kLLZvrAEq9sDTq7vcM18m7kZzxCAaieSKVPPOmRRWrMkKGUkuTAeDdxSptdSZnY9CEdlA7M2WMp06jOr3HxgnkamSOQVhyTCSQuK5IrB6PrCTgOH4ni8TVk7o2TsWXSUkIQxJ86tI4XgpqUOQglDCAoqQgY9LJMCEtPRk+GIFMShYf9RJNkMhpzc7KNjm4PeHAqbvmyy9/u/g/3/5KXT1c+meFyQRDEPvvvTnHrrh3HCAbbqc264gSbi2hmfec/OVw11nNi4EwGkxnIMCciRkgDpVQZnSyBsCQpOXNpEJ5qb984iHTUKGC4OppY0g/8k25HaAYJodE5mb5SxHYSROS+fiCh6Uczd59e5+eC8mcDEiZk8QJqZICEjCZl9KF7fsczxmY0otiltp7FnhXNSYrK2NeDB5U2OdVostExskI40OkzjnIq/yaBMCsCQgigYkYI4lASBIojgTLfL6jBkRs4wb88QJwJx3TVc+5P/mJkbr86KhlclGYiHIQ+/7S9Z/oOP0ZBDlAo5N9hiQI/DbY+9Dd+U//TiKycBhW1ZhG028x+EESfOrzPf8ji2d7bMvrPO56jyjD5JO5WlxpQDHcaplCfHVAAdpHUOLFW6T28YGjJwaMG4CdJ767Rji4paoAtGQxSlxGzmH8Vpxy0+SwxBPDIS2b17Q06cWWOp6XFovpU+XxpwOIjLMQqJvmJSEA0U3TDmoa0dBqFgnzNHQ7oEkUIfP87xn/ontK6/Ojv2FI8P1u85z4k3vYfB/edo2yGB7nF+sIFvJ1zfaeEpCyUTXC+qJwGF7pKTgJLCB9JV+cz/zGaXS1t9bto/R7Pl5DI+MHIj2uW+npOEjAQU+2gQjdyHVeUgzFyMKu/zvWHIibNr3HxwfmQ3YDQ5AEMGiigShqpNy0hBVZ0okoKsXVpzcnmLta0BtyzM4FYCGJNhXBr8SfSIFOTb6knBcGBxvjfg4qCLi88eew6wCLGZ+95v5dgPfetVVx79qiMDW3ed5oGf/z30mXM0nJBIB5wdbiCtgGMzLWYdG8uLsZyyOyCPCUi3CScLDCyQAEuMImvT7Vpr7lnbJtZwy8H5fPVBIO2olQEV0jqiEyKEJ812s85VE6lrig4lnHh4hZsPzo3WJqieX5XtiojisU06O776CWVEpjATuLjV48zqDtcvztAuGQg9nraYbtehKXKUEYA690EUCIZ9wcmdLpuDkDnVYc5qESeSXuyy+JqXc+gHXz5VCaZ4VEjCmPve9lEefudH8UVAw4pYD3dYj7bY0xAcabaxpMBxIxw37StFd0BWGVCarABTIKhgO+xyFD/AVhBy//o2hxZa7J1plAKNRW47auT+um9d1Byb7crOqenjvTDmxIV1M4lQNa5EyM8dCzyWYrKNAHO/Ce6FTDVMEs1d59dQUnDTwgzElM9JlYKq7UiCNFA5sx3RuPsgGCpWdhIe7m5jCcketYjANZlMB/Zz7b9/DbPPPlL7zp6JuGrIQBLFPPy2v+Tiu/+aphziWDG9ZMilaBXXhuOtGZquwPbj3GcnbY30yMtt5jW7fTX60MmCBdWY70zYirPdPhe3+ty0t0PDsceluWJmQCb3Z9fJOqeUlXMKcr0UZntmAMKwLLml+3qDkBOnV7j58CINS5prFI+zM7UgLu/L7luSAdN7p66JXGGoPEt+TmCe476LG/TjmFv2z2PF2swEMmTXGYxIQfaOdT8uVWRMQk0yMKQAzPagJzmzM+DSoE+bBnusORItc5Xg2v/wT2kc2/t1fDlTXO3YfOASd/zs7zN84CxtO8SWEReGGwxFlwMNj72ej20nuF6MSGsBSAWWl5RqjEgbU61Pks9ohZ3W8SjaDimIheau1S0ars11izP5NYSjRpOISW7ETL2DsoJY7KukJMCxUrVBwjA0fVvK3E71gpgTZ1eN3bAt09kyV0CSkJZeNdsTDUFUsItlWzbmmkxdibXuxyw9MYjpDkPuubTJvk6DAzMNE0BdjD3KnmtYIAXpO056SUkp0BFEA5nXL9CJYKsL92/tEMaaA+4sKmkSa8lA2+z5vpdz7Ie+9aqYTFwVZKB/dpX73vguonseouGEKJnQ1z0uhOvMuDbHW03chh65BCyNctOOmhIDYRl3QFEyRzIiAQUIJcFRpurf+XX2dxrsn2mUB/QMeWEfa3x7JvVVz8kGa9saVxXC0HRsq3xOiQx49ugeUboikV2RxJLEyIYZoSi2K+u81ZlJokfuheqzxDHhIOTOC+vMNVyOLs6kxiMeS5UkMEagVAc97+zp32mKYjwEHWXyn2BlK+Kh7R2aymG/NU8Y2SRa0KfBvv/vP2T/P/47TDHFleKh936OB37lz/DiPg0rQoiEi8EqsexzpNFm3rNHLoF03RHL1chCXEDuDijM+oUUxr1YtR2WAFtxan2Hjd6QZx2Yw1apjXHGKwAaIm+V3Yip7chtSkWOB0Z2pYjMTWCPbFFvWLAbRdk80eXjiygO7jXuC526KsbaHE6wHVHC+dVtzm/2uHnfHL5jpcdX1MT0+fQwKasUkSbul7MPkqEgGop8NdZgCPet9dkMYw77bRzdYhhZZvGk645xw8/8cxqHF3gm4xlPBi7+5e2c+m/vpRFtm7LBUtPVW1yItph1XK7tNLD9ZFQsyNZIX5SjfD1pgnkYbTMMveImSEkAUhj3wIUN4iThlqNLY5G9InMPVLMFYMTUs38XkTHUqry2i9SXr03w8IoJIKxmE2TXrZPt8iJIletmx2UzgipSBaEqHa5s9jh1YZ0b9s7S9p3RtaqkIC1CUiQFOs1LTgZJKXo46evcdaATWN9OuG99B08pDjtzRJGR/oJIYb/4BVz7U6/GavtMMcUkDLf63PGf3sv6J++kbYc4KkEQshyvEBJyvNVmzlc4bpyvPqosjeWP4gLyFEFndxKQ1QAQaQrv9iDg3kubHF1sszjfqnEFyPoMpGxfnU2B8cE/Pye1RTUugF4Qc+L8WqooTnATZOdOcjHGNTYJyipjAaOMpNE+rTV3nVlFxZqblmbLx4fxWEXVOlKgA11OSUwg6qeuA4zS+MB6n+VeyAGvTcdq0hvaZulk1+fQ//FP2PfyW+uf5RmAZywZSIKIB//Hn7D+p5+i5QQomWBbMVt6k4tBl72+x9F5D2XrfD1v5RuXQAbhCRPMkyEjAU69ElCU+pa3+zy80eOmIwu0Gl4+MOYkwFHkSfpVub5uALZUQeqruAksNeroRTdBdrxS9AYBJx5e5uYje2jYlYG/6CaI4/K+TGLMVIRqmyCdJVTcE9mzBfHYs99zZoVwGHHL3o4pupSdEyVXrBQk/dgsmpT9HWriPmTrqm/3Y+5d6SJRHG90iAKXMF02OZjfxzU/9/20bzrMFFNUsXbiLHf89LuIL6wat4BKECLgYrRMjOa6VpvZFiU1wG4k43EBjQoJsNPsoqKL0ZGjAMBEo+OEuy5uYDmKG4/sMb5+rUfyfSFzKJfqIbUPhdl+NmvP+mLxnNz9KEZ2BdJMg0KWkiVHk4gjizQ8Z2R7isdlk4uoajsq9yzaukxNyFSEoks0PaeU2SQlO8OQe86tc2TGZ4/vjlSEzE0Qxnm55fwdB4mJKSiQgqSnx+IJwp7MVYKHN/uc2wpZdFosuQ16Q4cgVoSxpP3Kv8v1//pVyLoJ1dMcz0gyMLi4wb3/4R3E95/Et41bwHMiLoWbrIZ9DrU9Ds25IzXA1YbBF10CaVxADkca314h0hWRBgwW5btEEwJ3Xdxgrt3g6J7U35d15owEZMi+yCIJyJDl/1ck/7zDFUlAhjBMjUbVTVAgA15hRh6Go/sXkZGCakBSkRTULFySX6/6jCkpQEr6gYlQ3j/js6/lj+6TIYjN4F9IkSQ28QTFlKI610Ey1HnWQT8whCCKBMcbs8jEYRBYxIlkIBoc+PHvZemVL2SKKTKcfP8Xuf+X/hgvGdC0I5RMkLLPuWAdgBvmGsw0RK4GWI5G+aN6AUKN4gKyAUnYEuFV7IkEbGXsR4ZEc26nz4XekJsPLuBnA47WZRKQTxaScgxSEXFcjiUqnpP5+qv9N81EouCyNHajQAYyFCckdXVLorisUmSDcRaTVNfeLBaheE6RFAjBqZUt1rup+yQLUs6eLQs8DCsuxkSbWKQwGZGEyGQeZNUMdQJxP806AM5vDzi9OaQjWxzwWwxDRT+0iROJuP44N/3fr8Vb6vBMwjOODGx85SHu/4/vwN7ZSImAxvcCzgdbrAd9js757Jtx69WANEugpAZYhQCfYjRvMZAnQ5qT/9DKNlv9Ic8+vIgqBOOUq4kwOfI32171n8H4NYrnTJD6kJJeEHLi1LKR++pY7eWkPl25bta2OtcC1G8vBB+dXdvm4maPZx9exJGiXDshu34aQDQ6P9tWzjNOhnG+tDKUVYJhGHPP6g7BQHBNaxZL2/QHDnEi6Ic27b//Uo79+D+8KgKEppiMJIq585f+jIvv+zRNK8KzYmwZo6wBDw/WsCXcuNCg4YmSGiAL46N0K1VHRTrzLw74GQkYsx2CQAruOLvG3pkGB9MU3FL6cOV4M5OpcSFUj6vur4NS432clAycXRspinUQcrIroK6QWfHfdfurrscCkYiCiDvOrNLxXY7tmUkrn0Zjx9eSgiBVDnIPp6mCmgwLtiQYqQQrvSGnNnu0abPfaxPFcuQ2aHe49o2vZe65x+uf+2mIZxQZOP+nn+f0L7+XphhgK7M+uOeGXAx2WA17HJ/32dN0a2MDcjXAEuYDKroEqik9jqolAViKXt90nqOLbRZnm6NgnOLHWpTnigNwVfIvdrDdpD5Z2FeV+tJr9gYBJ05e4uZjS6nvTzMm9WXXLbapTurLUGxn1e0g5bhsmO1LNMkw5I5Ty7R9h+NLnZxY1JKCIC4XKMpKH2euA5kWI0mzDqAcSxBECfeubRP0JcdbHSxtMRjahJEiiBTqG27hujd+P/ZMYRnpKa4aDDd6fPnf/y7dL9+fxgfEOCrGsvs81N3EthJuXmzipktsKEtjNcfVgOKS4pkaUMwcIHMJVAdrxwIleejSJtu9Ic8+tIjK6o7UFSbLZvzVwdSxRsShGuOTKY9ZAHCG7FqZ7cj6d0o0cjfBsSUzichm9vmDVmxH9drZPcNi8j/ldgaFyL7MZlWzmrJnjxIurWzx8PKWiX/K4o7ipJ4UhDFkKzWmv0WmEmTQkSbpJSWVIOqaWILVwYBTm31mRYs99gxaQ2/oMIgsYmVz8F//E/b//RfwTMAEmvj0w0O//uec+a+/T1v2sVWM50T4Xshy0GU97nJ80cuJgPI1qpkSAZnGBjStUWe2BKJhmZX8skp+UiA8CzyrPJu3LYTv5NvOrG7juRYLCy1w7bSjyZG851jgOeVrZCTAtsflMyHN9mq2QXaOU7cvJQeOVa88FPcVZwpZ+xx7ZCCq+2x7XJ1Qadur51jKPGsxqjltm/QdDuydYa03oDcM8+OF75Sjky0FnoXwChHTQoCrzG+Ul2VNf0NPpBItqKZA+RrHklw/18JpRpwebBCLGN8L8ZwIx4rhzju5+/X/g/7plfF3NcUzGtun1/jsv/gNel++j1lniKNifDvEtgec7G5i2xG3LPm4tlljwPY0dntEBKQrkK0CERDppKKhRtZVgvAthGuVg/scBb5j1gAYhqx1BxxYaKMaDnj2eCCgbYHrjPfprJ/V9XXbNudUFQKlzPaq7RCpyyGzAyX7IM021xm3U5l9mLTPdcZdkbu13UrbV81UsCR79nbwWx5nNrqF55HmXRZVGEsiXMusnVD8LRoK4au8ZLywzG8o3czWg9XU2J5mwfM43PbZEtusx1sIAQ03oOkE2EnA+V/8HR749T8ff66nIZ72ykASRNz7879P72NfxLcjrJQI2HbMStBjOdniUMdjX6OBtI1bQOQDSEENSFFVA0Qm8TuVgVOMpwNu9obcv7zJdQcX6LQrs8w6l8BuWQPyMtvr9kG9awHoDSOjDByt+P52OafMsifIfZO212UZVFQCrTV3nbqELeCGSoRwnoKkK20IjG8xDwgqqgTZdasqQWTcBv1Bwn2bWxBJjtjzKBRhqBgEFlGsCBsdjr/5h2nfcvUUGrmasfq103z1//cOrK0tmnaIpRKaToiQIQ/1NlB2wE0LbVylkLYuBQkiQTV3UQMyZHEBVWJtl23HfRc3CBPNLcf2lDOPMldAVf7PrlO3/XI2pW4fFALyRseVFMUxu5E8OttR53qsc1UWt6fnbHaH3H9ujev2dOh49lgV0zxNsbBNB7FxHeTb6lWCuFvIVkqDC89t9bnQ67PXbtFmBq1FHkcQxZLGS/8WN/zHf4KsK+j2NMHTWhmIukPu/Lf/i97HvkjDCbFUTNMPsO2YjajHit7iwIzH/lYD5aZqQEYEnIoaIGvUAEsaJcArM2RhK4RXDvjTSnBmZ0i73SgTAUua86t++mw2XTerz2b7dWw5O2+M6Vu7KgvattH2ZWb2qtLGLMtAVYhQ1pba2UNBQai2xcneZfp+heDQng7bYcJmFJdnQlIgPDtPt8rfjWcbpSA7tqgSZNfNVAJn9LdqChoNyfWzM2iVcDZeB2lIY9MPsFSM09/ggf/j11j/3D1M8czG+U/dy21v+H+xtrZoOYYItNwAqUIe7q+jnIAbF9q4tkQ5CXarkC1gC1S7ogY0rYoaIBC+bdTEYl91baN+Zd+qFGwFEdtJwqH9c2UioNTIdlQVN9cZn/EXVUSr0m/y/mqN2w5LgeuOK4VZGyaqAamLIDu3tE+M7le9btaWqi3KFITqc+WK6simdJou7abL2Z0B2rUQViFAUwrzjot1EVJlV/gF25mpBE2rpBKotjTVZTETRruVcLDjsdT0uBju0JPbpuS0HdNyAyyV0P/EF7nz376NqDvk6YqnLRkINnvc8eO/SfS1e2g4IY4V02oMkVLTSwZc1JsstVwOthtjbgHZkMhmoeNa0gwmaUcUMs0SaFTkKyXNR1bsUFKAa7MeJgyimEMLM6Ptkz54u6ZTFjusqmQcZC6ETIovIhvsLYUuKRfpdscubddCoh17rF1aSnR2nypZyCW7ysBflBQnGYPKDAghS/Jkp+nR9h3ObfZTQ2CX362TumFU5X00HIRTMAAq/Q0zkiBB+qoQ2W3cBs225Lq5NqGIOK83USpGSk2rYapSenGXkz/9FpY/cjtTPDNx+i+/xtd+6p00kz7NNEag7Q1RMuZMfxPhBlw/18KzJXYjKcUHSF+gWqMcf2FLZMsuKQTYCtF0yuTWMjK2qNYXcCzO7QxoNz06TS/bYfqC50wg2jUDerEf5qqinDzwwogEZJOA4jUzN0KxX2d2oK5egZpACqoEpa5tk9wKdTbSS8mCkBycb9EPItb7obEbTrn4kkjfefV3EE1ntCw7mZvAzmvJCGl+Y+mX3QZH530WGy7nhtuEThclEyyV0PaG2DIm/MoJ7vxXv0FQdF88jfC0JAPDlS3ufMOvIx96EN82RMD3AoSAWA05l2zQ8RwOd3xUU498QRbIpiqtLig8ZXxKwkQBCylGakB+kEC49pgagCXzDnN+bYdO06XRSD++uo98N5/fROKQztgnkYDKYI/cZXshEFLLAikokgVZTxbydmakpG5G8kh8f7nxkuxfaNMbhmx2B6PjJ6kEhWfIVYLsdxPC+Ga9LPoahGuIXzark66g3VEcn2uxEwUss2UKxwjwvQBbJfhyyPlfeAcXP/B5pnhm4eT7vsCJn303bTHAtyIcFdNwA5TULEebRHafYzNNmq7CbiSmEmk6iVBtifQyRcp8WxPVAEbbcG1jP0oDlQLfZTOI6IUR++fSBbxsO40XmNCPqjYl9/3XKHS7kfs6JbB4vd2yay5HCqqTBhjZiLFYpF3iECa1xTKKSbPdpNNwOb++M5pk+a55t/ltje0uTTJgskrgylwlkJ5EtQuTCV9zbNGj41k83N1GeANsO0JJTdMLcFRM8uAp7vpXv8FwdXvy+3uK4mlHBobLW9z5r34Tde40jopx7SgnAsIKORNt4lqS47MN7KbI0waFI8rxAVIgWnbOEPPYgEalIyppSIBVHaStXM5a3+4zCCL2L7Z3l7/GZs9yNLhO6rCVzpMN1mODfXpOLQnI6g5kcn/d4F9p28T7FI3MpFlAnTHIDEgNiWjPNmk1Hc6v7ZTfV3UG5FjmtxhTCczvkxtbe9xtIHyVuw2kLZiftTnUabASDNiSXWzHEIKGP8S1IxwRceG/v5vzf/gppnhm4MH3fo57/8v7aKsAz4rxrIimZ4jAVrLNtuhyqNWg49k4LUMEwGQLlOIDBIhGgXSC+eb8ip2wjJJYLmGeurrSwen8epeW59Bu+QWXQI3tqJLp3J1Y09dyt98Ee6PG76En9GktJFoptLJq7U2mSo4N8JPswG5tm/Q8BVtbPt5i//5ZBlHCxs6g8L7scddu+luM/z7l30x4qe0oug2aEpE21/IE1+9r4NiCh7qbWF5QIgSeFaFPn+WuH/t1Bpc2eTrhaUUGBsub3Pnjv4G6cM5E/TohvhcilcbxQs5EG8Rac91CC3dmNPALTyCLRCB1C4iCWwBHlT+gSWpAMQo3xYX1Lu2OT7PTKn/kxej86gCddb7qh58NwtY4a9eWNc6ss+vlnVyMtmUkILuPmBADIMVkRp8O/pPao+s6b9aesWyFrMNbY+90/755unHCdq/gc6uLTs5UAtceqQSZgS24DURGCNKOLqz0G/BGBGH/Hp+llsvpnS4Da4DrR0il8b0Q3wlxVcilX3sP59/3mbFnn+LphQff81nu+6/vp20ZIuDbYa4IhKrHcrzNouex1HZxCvEBY9kCSpTdAlKYiPVibECmBvhu+fu3lBmo0pS7rd6Q7iBg/1KnXg3IB8GaPrRb1H5Nv5s0gdDpBIKqm5HU3mT2Ik1BrNoBndoyY7MmTyhq7d+uWQ4159SQombLpz3b4PxWv/welBplcxWuIXx3zBUpfNtkehRjjlo2qOLfo2wDy5HctL+JVgkP7WzjuBGuZ2raNNwA3w7h/AVO/MRvMFzZ4umCpw0ZCNZ2uPPH/yfqwnlcK8J3QhzHhIs7fsS5aJteHHHdQgt/xhr5+BoS6Y+kPOEYt0BOBDI1oBjgJ8RIDSh28Bpf/2Z/SE/D/j2z5QZnaX916XZ1UvukjkNh0K3GEkxi4FmEcd3gXjyvbrCuu14aG1BLUiZ2eFEf55ApCxU1Yqbp0Wi4nO8OK++lxk+aqjjCKxACMMc17HwmJpQ0v3WWbiQZxRGkj3V0b5MZ3+LkzjaRFebLzzqO+cZcK+LSr/4BF6Yug6ctTr7/i9z33/6YGTvMiYDvhKbSr93nbLBB27E4Mutht5LcVkhfmPoBpfiAYpqaGUhKdUcsaYhA0Z5U1IAMFzZ7NGYazMw2yw3eTR6f5GPP+loV2WBfQ/LHFMH0mJK9KaLODlTIjnYqdi09pk59BOptYfYOirFI+fsdd1Hsn2/TSxI246RGValRCRyrJjZJlQgBEmTLKsURmLHE7HdsxY37W/QJOdPfwXFjXM98U74TpoTgIid+4jcZZornUxxPCzIQbvW589+8BevCOVwrMjKuE5lA8mbIetxnbTjk+J4mM7P2KFCwKcfiA3DLUac0CsxbiHRG6ZSJwKScXMfiws6QVsOh3XBL22vrAlRn79n2CR12IgmAUWZBnW9OqXp/YBWqJlgRRopCnRvgMqSgtj5BrjrUDPIFo7l/oc32IKCbUCZn2bFFI5ARgoZTjiWQMv1Ns+AfYX7zgqRr4giML1AqwXX727i+4KHtbaQb4/rm23Ic8625KuTiL797GlT4NMTpv/wa9/yXP2LGDnGVcQ1kRMB2A84Gm1hSct1iAzt122fBpnl8AIxqB2TIAtGKdsKxjJpYJb9uZWCVkm4Usx0nxrVYRG1wsTDkebdMoLEBWFwBea8/p9YmFFGwAxPvu5s9qzln9xor9vjx2QQBaDdcmp7NhY3uSGEp3jtTCSoxG3kweH7N8cDPvCZBdmtP5sHoTdvi2r0NNumzMhiMEQLPikjOnOfuf/M/CYvKxVMUT3kyEA8C7vrJt8Kp07iWKRLjucY14PoRgQw52+2yb8ZlseONiICfriUAhsE3LOPXKzL4RiFvNqsbUCNhU3UVALgOvTBmZxCwlAX/ZNGuNYOozlN3ytfJO04VWSev65ST/HGZ0agtNCTrA36yWfok10PdbCPrpDXXq32ejPC4bj2pSaOmO00P17a4tNEdEbDqdbyqYTWGQThWWSVojDq1kGI8jsCRSN8QAsuSXLc0Q6Rizux0sbwkdxl4rglQdWXI2V941zTt8GmE85+8hxM/93s0pVEEXMsECwoBrheyHG0RJjHXLzZxmpkkbIhAbjtEmjZYXJwsiw8o9hnbEIFSn3RMkOB4RLzNpe4Q11ajDIJJaoCUacT/FfY10kHXdcftA0zu0xlhr7M3StbblNwO1Ew8Jt1HGltY63bczRbWPU+mEgjJ3rkWO/2A/jAspDBXVALfLRclktL8ZnZ54iF8u5xt4Mhy+qGTEgIL5j2XfbMuF6JtelFUIgQNN8C1YpJTZzjxf76NeFCpwvgUw1OaDOg44e7/63dI7n0gZ/QZEXDcGKyIUzs7tNqKQwsNs/BQljGQsbtC2mBOBOqyBbyK3AejlJgiMt+VlCxv9XEsxWzLK32YpQ6VpfJJOe6Tc+zx46FcIrTaATLGXevbt+r3ZUw5C5KsPo+U6bk1hCDzUY5tFyN1ooj0eaqdWqfXyp+5cjyug7At9nSarG/3CRNdetfld2CVDU3G6qtugzTbwNxGjKUfCmuUaeA7iiMLDTbkgLXhEOUkOG6cEwLXjnAZ8vDPvo2tO08xxVMbq3ec4c7/8C4aIqBhRblrQEqN64XsJH1WwwFHF32azex7MIGCFOIDRKNSi2RS7YCqnXDU+GCYRsGHsWa9O2TPbNOs2pnl8tfl42d+9WoMgDeqC1BKHS5mCNUpk1KY/4p9MMtWynz51TaLQn+v7svOKRKCvFCSqFcE04lG0Ubo3A4p82x1bs8qWcru7TnMdprYljQTicym1MZh2GVCQMFtUGhjNdtAZFVpVTaZTAMLLTjQatD0FeeiLRKRYFkJrme+tUwhiO66n7v/r98mqVti/imCpzQZuPcX/4jgC1/DUTFe2pFtO8bxI4TSnBv2iO2Y43MtpJJ5xkAG4aTycHGZ3LpsgYYzPkjmboHC4Jp3TkkUxaxt902HnlRqU00IsIPxQbHokqjKjBmqg3LRn1Zk2sVOXRcXMGlfkRBUO5FTGXyLbShK9xmqhCC7T0YIJswmFvd0EAJWNruj84pGICco1rhykLoNarMNsrYJYSKGCwYhyzRYbPosNFzOxzuEIkYojeNHKMvkE3tOiBX2OfXT/y/9s6vj7Z/iKYHt06vc/m/fgRf1cVWCb0fYyixh7nkhkY44M9xmT9thT9O496RrjHseW2RLZA0RqMYRmWyBGreAXfn2s+9VSFY2ewgEizONkQxeJeJZbFHxukVCXXR1poRgrF9lLsm6QTkb5Ktpy2P2Qeyyr9LPlEW+hkqx3UUSUmlfHtQoy+9VFyc91QnamHoiEK7DnsUOa9t9omx9hFJNE1m+xiS3QTUuqUIIZGMUR5BVobQ8ybGZFqGIuRDtIO0EJTWeF2JbsUl9tyN6n7uTB//7+3mq4ilLBk799sfofuhT2DKm5Q2xVIJtx1ieSQHbCAdsiAFH55p4lkJ6Io8PMOsIqPpqgoX4gDxtsDKI4dcUz6jIXiubPTSwuNipl9/zlJsKo88kvKoaUMzDrSKT8uvg2GUiULhXbZrO5fZZ1mXuNaF9dRKjmCAJykKBowqUYzO/MMPyVo9Spew62THN1a6Sqjz9sJRtUFO1sLCsrHAlQsKhVgPbkjwcbZMkZnU6x49QyhCCljdEbG/x4L97C+FWr/49TfGkYbjZ4/P/+h14Oxu4KqHtDrFUjKUMEQDN6eEmfgOOdHwzifUFMl3TAkBmMSbZZ1VMQSuQ5fFsAVkTwS5KSpbWmuXNLguzDVTDq4+xmSCx55H/VeKQtqe+boBVP1HJzqnrz1+37ZhwPdilrsGkDClR7zLIrlWjOOxZmEFbFivb/fHja6s42uVJYJZtUJpkVdIPpYk9y1e2lSA9QaNtcXimyXo4YEv2kcrYDs8L8++v7Q5Z/8CnOf2uj9U/15OMpyQZuPTxO7n01g+kBUFGikAW2BUScS7aYdF3mfdcowhk9QQyIlDw8QlHjREBkc0ia+MDKq8lC+pJobVmeavH/MIMlu+Vj90lKyCXusa2y1GObRXZvkmDcJb2M3ZeIShnLKBvQtBR9g7qggezWcEkQzApRziX+sddEJPe09KeOUIkG71Kac9C0FDp+jVxBKKR5ndXCUFRInTK68wLC3RXcWymxSCKeeBizOaqb2pYCE134CClpuGG6LPneeA//tZTWva72pBEMV/8P38P6/wFbJnQsENsZcrGer7x416MdojskOMzLSxLjhMBv4YIuJWBJIsPKMJR4327EugGsLEzIEwS9izN1g+C9uQ4gNo+m2hEFI1WG62iro/D7nalmG1UxaSU6Gzf5SYZde2ZFF+QJBBH42sVUHCHFG/hWMzPt1juBujqbSZVfXUrixtBfRxBcZGpjBD4ZUKwZ85jwXc52+2i/QBlJ4YQ+CGuHWMr802ee8sHWP7YHePP+yTjKUcGtu8/z0NveheuCvGdKFcEHNfItlJpTvd3cBzJ4dmWUQQsI0EZv05KBDJFoLq2QBYf4FU+vqyC3lhqilNmisD2ICAQkj3zaSRwVQKv60TZAFy4Tn5uUUGok/QzH1idLFcnpRXlOJmdW/AVZtepy2zIrleV+2DUjjrXQ92zFJ91QsDhWCaFlPieTavpsdILy7Jd9txjgYXS/HZVg+LZ5TiClDjkhEAIQwgaaQ0KSxANJGrbYX/DrFR2/5rH5qqP48b0Q5vuwMFSCb4TEdxxD6d+5U/Gn2mKJwVf/W9/Rv/L9+KpmKYd5suYZ0VhBmLIWtLjQMun6VsmYyD9lIQ061mUZop1gYJjaYMFt0C1L1WzX4CV7T6tTgu/4Y0raXYa/V+NA7CsUeZQ8ZyMCAAiScrLBxfuOYbd7IqUozZXbUB2DtTUKpG724fM/lRjk4o2p9h/E40I0oC7OCotyZzHH1njqseeuRmCRLNdXECp6IKtW/cgiyMoug3q4ggqgYVY0qyBUphMHNvXwrYlp7o7WF6CSl0Gth2Zb1HFNK2Ak2/+XXYeuMBTCU8pMhBs9bnvp38LJ+zTdEKkTHCcyFSHkxpla1bDAd045OhsE8st/HhSlGvTA2K3+gFFVIoIAaOPpMaXtzqI8Fybpl9IJ6z68rJrwOSZdu3gKcv7SoE+EwJ2oOwfHFtwqGbgvtx5stKxiwN5cbusMSbFfZV3VxtfUPQRpljoNNjqDghk3bsT9WrDpDiCmsBC0bDLxzQshBIgNUko6QwbtH3JucEWD6+3ubTSxpYx20OX7sBBCE3TCdn4k7/h4p9NaxA82Xjw/V9i5f2fppH6Z5XU6eqlJitEuRHnwm2alsXelofyR2pAVqFyNHgwXlY4ryZY9YdXZpyptFz3fQZasxXFLMy2yo2f5E6jEhAIo35ZIAL5ZaLIDJxZO+qwm12p9vO0bfmAXRfoXHfervahQAiy6xbblrobRRCWVzXUSYkQ5Jsrbtem7+A5Fqtbg/rMrnyCJ8u/WU3FU5G5Eorb8sDC0fWyyrZCglSC40st+nHIynCA5SVYnglEtu0IzzHfpht1ufenf+splXL4lCID977x3SQXlmm5Q6RM8NwQ24nRiSCJBaGOOd/rMac8Zlojo68DjWgVfkhhokFLH4IQ44GCk+ID6hgkgKWIpWJju89CZ7QyobYU2qs5/kriACbJbRPTfCb4BiGtGzBhn+2ANcEHN+k8KUe1CKrY7dku59qoTTkSaM/Jq5jNtRtIKVjb6k0MGqqtwlbM6si3pS6hIiGwlPlGCsGlctbB7RgDpCPFfjXDME5YCXqs9HzOdZuEiWQncNgZmu+v5Q4588vvZfvu0+PPNMUTgrUT53jgv78fWya0nABbmmBP2zYDo20nLIc9hnHMkZkmVkuS1ZvP08ay2V1VEgZj8Ktpg5kiUJ1EWJNtx9owQkrFXNsfbZ8UZCzTdOS6fqmT0ay5ArG+BeGEFLZsJj3JrkyMLdgl7mCS4jdpLQIwf+8S6yT6A+jWxOPoBIaBUUEq5xSDJxc6DTa2+8QJE9I1Rf32ajEiyMlfslxoT+o6Kq2SmKafCgltz2bPoseFoEuoY5St8/VPDCEIsWWCtXyeu3/ud8ef80nCU4YM3PO//pr+F+6kmS4n6jomZ1MngvVNH50ITu/0SAaK2XA2Py9c1wxXChcSwsz6ip1Z1cQHZKknl4kPGG03DH292ydJNAudphnAdgme2zVAp66TwGiGPiF4Rzs1MQfZPsvKZcaxfVKiq5Lg5c67gnuOuRqKz1FVPTLs9s7SwEtlK2bbPqubvZFKU2eQ6uII0hSuscDCsUwDab6VAiFwj3n4eyOE1PiWhWCWM/0BwzhkK7K4Y9MQgn5osdl3kQIa9HnoZ99BVA1cmuJxx3Crz1f+3e/gREPadogS2qSBOqNZ84CAi/0+e30f37LKRKBYlMwyC13VrS9w2UBBqP8WIS8YtLrZY7bto7JvsOoiK6KOACcJDIeIbm/cl55o2O7C2ibi3KVxP3seczChH09KS5bSrEswwa6Uzq27ru3Uk4+sOFr1vCCEU+fRZ1Zgc2f8GYMQ+oMxVaTool3oNEm0Zj3rj3WFi6De1tcEFsantzn9SZfowa1Re6y0umlhtUrhypwQHGo3sDzJmX7XPGqaqiwEuGkxMyU04Zfu4OF3/vV4254EPCXIwKXbTrL8239BI12B0HVMOlcUSZbXWvQCh62kz/JaTDtcQGI6yfAS9NdsdBotIpQsy79gKgpm8QHZD7lboGCdnF9YmnN1o8dM08N2rFqflbmpLM/6d40DqAQwVqX6wr8zGVFXO23Vx1i3TxpZtHruxPMq1x0zBsV/V9WDLDbhcvEF1fTKDKnvdGG2xWAY0u2ngYSWmlx85HKBhelvn69+WIBo2KN15CU4hzwahxKE1MzZLbYjl3t2+rgi5lxf8vm1Fr3IYhAbQqBkgly+xIP/+ffGn2WKxxW3/6c/gkurNKw4X6/EUglCmN9ba83ZfhdXKfZ6Psj0O3BTIpApAo4cjw9wagIFcxeALA9UtWWCpZGqlaLbDxgEEYupophXB6ybNdcGCiYQhojhsLwNTDs2tmBj2/y7P0RcWC60zR71mzq3XjZZqLMrhdl7nQ0onVfn7gRDFqq1RTIUXahJgjh9Ht0dQByjL22WCUHmJohi6PbH1REp0JaF1fCYabqsZunJ2X2qMWHZ9iIhKNY3SQlBtBYzDC1O396mf/sWREl+P+Fa5eJ26XdlWZLD7SY7ImBTD4ypt9NiZlKncUdm+eyLv/VB1m9/kCcbTzoZGG72uP3/eg+zVh+VyntSauKUCPRDi4SYh9YGWOEMbcvDcWKCFRhuW2TZZ8JWeYGZDMJW48zvSgIF8+2y1DGHQcROf8jCXHMU1FO6YTpTnpQVkC00VO0YWYR/HbtOz61dIKTQkasoBSJV/fPZeZMWQ5pw3YnqQfZ8WeZC9fksNXn2kMl7Nf7IVqeJ41pGHSi0v3aGUyfPZsa4Stgca4wQ4FklQmDtcWkdjlnyAhbsWZaDmEvBAFvC6lDwxfUmvUjRiyy2Bi5CQPDZ2zn/vk/Xv58pHnM88J7PsfmJO2jZEZZMaLhlIgCwFgzoxSGHGy2EEEibcnVSMoWg0hfccdKYZwxUUbtokDS2J/2uVze7OJai3W4UcugrAW65KjgedySGwzIRgJEffWMLtntlcrK1g9jYTFWJmoDbCfZDF2b6u9oHyxo/r/pfEVVCUERqI8TKGrq4sE+SmL+XNyCIytkSSQLdHmIwLL2nLA5hfrHDziBkGBQUBCHHaw5AfbVTyAlB94KxH2EsOftgh95tO+jhKDajRAgYKU5zDYc53+XssA9ubOZHaeVcJU2qcsMNsXTEw296F+FmjWvkCcSTTgY+98Y/ZnbrQpr2n6CshCCwOLvWIYgViRac6Q7pDmz2e03iRLCy3mSwZYiAECBVRRLLfHxjUb81xYV2CRSsDi7rWz2EUnQWZiaX9p2UZ5sFz9X666yJ/jPtOLWdEtJYhV3cDXpS+uBu+y6HOIL+oH6fNSH2IJMEd3s3NfuEZTG7MMPazqBcc2AieZv0W8pxopDN+orbPGs0KEiw9rs87xvOs+QpWlaDs4MujjRGYCuEe7Z9wkQyiBVag5Ka5be8j+7Ji/XPOcVjho0HLnHfr/wZM3aIEglNJ8iJgGWZGWQYax7eGjLvejRts3iZ8kW5tHCiy4O+FFC37HBdRcHs+Em2I+3rOpWs5zrN+vU7YPd0X0vVptcxCNAPnIXVrfF9kLrWagY5yF2DtROJTHKfgNrl07PzMpdjHeIYehNsR6JhGJTjeiB1jYSTbQfUEDHBbKeJcG3Wu5X7ZYWI6mzHdn8s3kJ3h5w4s4c4kWkzBWdOdrjvTx2S7WB02RpCIJuSw6nL4mIwQLmGzAil8Rqh+VaV+XbjlTUe/K/vnfyMTwCeVDJw359+hfW/uZOmHRJrgWPFBIHF3cvzhIkk0YLVoeDScMCS6yO0zcWdJsPIfGxCgN2IkXaho1jKGPm6KlhVIjCpA04IclvrDujMtZF1A96k2W+mLkwK7Ct2nony/gSffF0p42xfFncwyV83wd8vksR0wCQZC9QRQQCb24h+H7a2yky96E6YZAwmLpNcUE0qmJtpEQnJzjAa2zcxsLAuqMmS47913beSrV6Wwr3G5eUvOMlRPwsY3WbO0UgBm6Hg4sAlTCSxlsYPGA45+X+/iySsae8Ujxm+8rPvwY2G2DLBtUwKoRCm6psQoLXg/rWEMFYcaJriQsrVZYuXpP9lsCT4NepStaJgfn4ykowz1OS/7/SGRMDs4kx9X87UxEnKmW2j25WVDXtD9IkzJOe2SFZ2yu2wLfR1R0n27Z04aI/UyLr2qHEXZobM7kyqbZJec+y+YYDY3DLBgVvb5UwBgO0dmGkjjiyVXX5Kwb55tO9BszFuI9utkbpYbIqUdFo+64OonkhU4wgSjd7uo5e3oUAgonvXuXu7wd0bMwSxuU6cSO7f6PDVP5shOlNwRWTrnxTeh9u22Nf2WB4MiFSM5ZqxStpJ+q1q7HTdjO2/+TLn/+yL4219gvCkkYGt85vc8V8/wIxtmJjWgjiR3L08Tz996RuBw8O9PpaQzFotLnUbDNJ9UmmcZpSzLZ3oyUSgThHIfEXVjj8hUG2ooRdpZouRwBmqkbFFv3hR/q+RznKf/JivrtJRq/+uczVk++pSBEcbyu2oEoKKFJcRAhFFsLU9+jsIYWendHzpWWqqDl72ndRUP2w2XBxLsd4P62ccdYs2SVHvw61TCHYjBOlx3nGHV7zwNEcbHt2oiydDFl2NBgaJIQTd0DZuLjsievBhzv32X423dYrHBHf+5l8RP3AaL12F0LGivPyrEBBHkrPrLqe7EXvcBo4l64lAEVlQYOXbwK+ZRULBX5/m92cxMDXugo1+gN3waDa98etUywEXUYypcV10K01J3O6h7zlL0k1t5yBGr6a+ddtCX38UPTebX2ZczheTJftqiuBudqeOEBTOy+8bRbC5nRdGEoOhCXbMCMHODiKLB/A9xKE9phIgIPbM5ERIWwp8bzTxaDdH764m3Xq27dPtDxlq6t9xtiaElMbNEiWGFKx3c0Jw8asesYbVwOKra7P0ApsokYRacKrb5JN/fYDwwZ3CNWW+IJqQAgTs39PEVpJz3R7S1diNJFe0PS9ESY1jRXhWxOlfeT+DS5v17/VxxpNGBj79xj+BXh9PxcRaEsSK+9Zm2Y4UkYbNwGY9iOnGA3w5x8VuKycCvdDC9mOkkwUJAcN4XPbNiECV4e6WMVDz0WjLYr07RACdVoEMZAagjtFXB73i9hqfGxSLaUzoZJlKsFt07qQUwSyEuq6tKSEYi9AF03n7fVhbH89rLhCC2mfZJUJ5YoxEzTudnWmwvtUDpeoJwaR0xdqKhTXfROZWqiEEokAIXv3tqxxuRGxGWzSUZs7RWAKCRHCm5zEMLSwV49shy7/7Ybr3nxtv0xSPCmsnznH2t/8aWyQ0bLOKqZIa3w+QShs34naTh7sDLCFZcPwSEdARY0RAJ3qcCGSKQN03Wk1tC6KRG7ACbSnWBuH4JGJSam7WX+qCaxse9IYkd57JiUDepG6IHoToa4+g25VlkaEQ6DdhIpHN6scgTQaOnOTiVPV2qUgktrbHgv3EYGgIwtY2YhCU9uF7cGQJsdiBxbnyc1gKmr5RCarVXyt2oNPyEUKwvtVLFcsJhADKsQqAXu+iz6zytYuLgOFZO5Hgjo0ZznYbuddmM7T4xCcOEtxfQwhSSCk4tNRkIwzYCUKERYkQ+H6QEoIYN9jh/v/yh+PtfALwpJCBr7zvK+x84V7WAgspNBtDhy+szbATKcJEcrJnEySSlWCLrbDB/TtzhKnPJkwk5/peuRBXINCDuMLqa2aBcpcO6FaWGqXgO1OKja0+nWJa0K5EYEKQW3reJF8dYHz5E1n7LnUE6mbjRdQFPBZhT4hNiCP4xO3oT91pfHoViN4AcfESYjjuC8x8iBMH/YkxDeV3OzfjE0Yx3d6QfB31sXN2CSysUw6qalFOCKrHjRQae97hlS/dYc7ZYhAPaaiEo40+ttQMYsmlboNEC1w7wtYBJ//zu6flih9DJFHMV9/0PnzMksS+bWZVvmeIQBRJVtZbrA5idqIhbTXH9sDPrZy0wVqoBOJGiZlNVHPL64hAVUmENKWvb1LeqtAJvW6fMIqZmxnVJanNssmQ9YuqDdCJmU0Pg9o+I3wL0XLHtptrilGZ8YkTiV2Cg5WabFsyd+MkmwWl2Xzptmsb8LUH6msKKAv2LUwMjtZznYlxVpmbUCnJTNNjI0sx3O6aYMuKi0KfOM09vy+JL5SDMIcntrk4sEuvuxcLfvekzdc2nfzQ7cji7J1tdCGGwKS4j2zHQtOj2XY4OzDPKiywPGMbpDLfsJIa3w7pf+FOLnzwiXcXPOFkYGe1y6d+8S/YDiW92Lyoj15qsRMJwkTyQNci1oJe3OPsQPPA1gzD9LfrxYozfYdBLPPfMwkEcSAJV8JSDujYTFHKUepgMRhnwqBkZram84RhzE5/OGL3WcGgOuxWFKhO/q+em2Esur4wy56kNmT/rrlv7i6YtB+MFFnsYHGE+PwdhHdvEp7qk3z+vjIhiGITcBPFiEsrtYTApPvskikxqagR5IWLmr6LpaRRBwDSFRHHDEXdwJ+6j0x1scrx1TiSJBkjBEKKNJ/YbNuzr8mLX7BGw1om1gIlNde0uikhUPTSYkSOFRM9eJoL7/lE/bNN8Yhx77s+TfTAaSyZ4FvG3+qkFQYzItAPLS4F24BHL+oQp2nHyhdYex2z7kAKHSXoWKN7I8WrVIa2qABkaarFiUQco7sDdBAZmbmIOIZEs762hS0lTT+ve7x7sbG6vqATxPom4tIqSIE8NDcqeIMhAnJ/x1TuO3UW0S34sbMZe53dyO+7i20p2oM6119B6ay2mUSbd+i66E67fO1u39QSGIbo08vjhKAu7iCD743IzW5Fz5RibqZhYjYGQ9hM5f/VAiHQCesf7/PQVpsv/tUewoe7abs1d391D5EWCEYmuxcLTg43+fPli9y27hAmZsfsbI9oNSoTApmucpjajsOzDYYyZj0yGRDS0dj+iBA4doQQGteKOP1rf0LwBGcXPOFk4I/f9GEGG31O9hRtK+FTKzNcGmh8pXmga7EVmujbe3cG3LvpEWvTMbuRZYhAItiOJMMdi3goiQPzCNG2QEexMfq1ikDNYJAPHjVEoMDON3cMs+zMNEeBgnW4bHpgJZah+O/d/G9V1l4d/OvIQd2xk/4uwnXNzDslAsHty3m/Cc8ODSHo9k2HKdZCj2LEhWXEZkFuKzzjroQgcxvUwbIQtsVsp5n/DsCoQNHYs4vJ6k/2DWRkMFMIKq4E4dqluuQiVQjyTn2wzY3fcI497gYALSfkmlaXIJFEiaQf2GagUjGX3vlBBhfW659tiivGzrkNTr71I3gqppGWG3btGKUSdCJYWW8xjBTb0YDNQKOTRaKMCDQF1l53RAQk6NAQATA+dxJt6pHUuZWKBayyPh5G6F4w+pa6g1EkeqFfbG4NmHUthBCT045hPOU4QxwjVjdgbXNETpoeYqll1lOY85AHZ0f9J4gQp8+ZYN8iEcifp/LvSQM81Nu5YrBzHXGQMicCJbdiRggsBWGIvrA2CnoMIvSpi7CS9pPdiEA1pqtuDZUMjk1nzrhMts5cGv0uwwAurpvf6+QFvnpqLwDrgcMnPn6Q3ld3iC/1uW9rVDY6IwTn+4Ku6BGIAR9aO8dfXbCQgNsxRaCi1YhkZUCe856ulyMcScuxmfEdlqMBpBlw0gLbN64ulS6qZcsEp7fFqV//QP1zPU7YRVd+7PHAF07x8T/4IrM2xBpuX4Nu+sE83BWkfZNT3T6n+wNcMU9EyHYY81BPE2vDumIBq9uSthyxMDnUiN7QBJ4MCpJdGMFMI3UWFuBYoAXElVSSzJcXja59cXULqRSB1gRhDGHNgiBCgqxZNYwsNzcxbanFLoMk8eRBFMz+ScjOB3r9IYNBQK9fU7SkiiRBfPw2wq+tjgX9cjJCrd2F9YLDUBcQNQjQYWSifGuvPV5TvdSe6mIrKSzXZuPCBhtbPZyqwQ4jRLWhGVkJau4V1dQ5T7RJYSpAC0ryrxagkxglBE7bYs+N9zJz6QDD0EKpkBk7oB8n9GOwpEbJgHgQce8v/xHP+c+vq3/mKa4IX/mlPyHod5H+gEGSYDtDQmLCWNPdcdgemtSAB3e6rAcue1xJkgQ49g5BRxEkMaRdOumFxj2QQsQCFUaIyCpH5Wezz2omS3dgCuMUFcYhiOVN6Iyi/oMwYmOnz2zHpzeIwKHeBlhqPCsha9vyqikmVEXTQ3s94xoIYkp2YBiCOkNy7BiXtw+7IIhTuxGW7Qbsft0oQgTV41M4LuKBs+iNbnn7EDh1CaEUutWsPdWkbHow1hYmrl0AIIXkwoU1/PmiTQphMGTzAxdYDw6SBZIMYvjYbXtZ9AesBAlJxa6c7mpibe6fEPHZ7ilmVg7w4jDCykzFEFQYIWcLaZ1Sk8QxHdfhvu4Wl7wBrcQmiQxhDVXMILaBCK0iBqFL90OfYP4VL2ThucdHj6m1IZaPA54wMhDHCb/2U7/NZzcf4PkzHcPe0UgEwyShqxWOhEGsOdNbRQlJUyksKbg4lCipDT0DXKm5faXHPkwnkZbGXdSoh0NEL+3xWqNXt0i2AtSN+8os11Ygx+V6XbMcsNaa+x5eZn6+TfJQTf64FOm15PjgKiVa7dLhiqmB1cFsUmpPdX+idz83NViDQcBDD18CwCuuo1BzvnzgIYYfOQkWpXKb+f6eQHx0G3XNnnFCYNvojaEJkLTtiTxHxEnt+zJpjfFYXnUcJ5y8sMZgGNRndETReM3yRJtrVclbZjiKBlhrE/UcjtqltTZkIiismBYl6EFEdxhyut/l4MIphmda9IcOUWICYW0V52Vxo1gS/NVHWPjsizj4Tc+ufxlT7IoHP3UnX/rQR2nbEb1+hK1iGjpEDk1dkrXNJmHcZS2IuXdnyIzqEOllDjf6BNducGK1OJME3Y/Qqe9RSIFc9BEXN8EpDFCWMnaiOlsfBjAMRkVnssu6FuwMwN/Mbc3Gdp8La9vYnsP5ncDEJRWR2w4xXkdACrSyEOEQcX7DfJsZ4oTk4VWi5QD7WBNRXfio4aFbHfR9Z+tfaDZ5GWP62cOMbMugP0jthjZ2Yze7Uzw/HCLqiE8QQgRio4uuBA6K2ZaR2TeH4+srCAHtFnq1j6hb1jhrU43tWN7YYX2tR38QlmxEcmGL5Yclm/EFtsLR+KC14J4dwSC5xCAWZFcLE8FAa5qxYI1NdEog7thQ/M9PtnnpDeewZ8w2FVvIxEUXbI8exjBMWO4OOL/d42izRdLX6FigNYR9RRRJkkTSG9qEsWLlF97KP3jXGxEpcXu8iAA8gWTgw7/zBX7/to9xXN6CStokccyCqxgkGqk1S7ZimGhWhz0cETDvLNBQLg0FjhLsdTVKgC3BlppZ2eKGjkTaGn+fNutLz9jIgwsA6AtrxIkDLQer4cD+BfPBVFNQ0kFRT/Bd7wxChonmhmv202zUdOaihF/Ju5+YFWAOGGfm2flV/13doFnyiyfj51aumzH7G68/SKPpj+3Pzpd33c3gK+vE7Vnzt6ORhdUh8yWjAbETovbOwELH7LQUutNJjZxMg/1qsjlSiOoa7MXnrenwjmNhCbhm/0K9qhHHxlBA+dxsCdRsW3ZuGI9mE3Hh/4FpVx5cFqWEItHoME0/GsS0LxiJ69rneazc57PZc9kcumahHDtirjEgjI3b4OKv/QkHXnjLqMrhFFcErTX3/tKHuLE1S8sO8dOFXlw7xnbManBngg47gc35/g4H3A573QWubXW59aVdZGuhVC4WIWAYE28FCClQ+xvgpUWGslVIbWu0xn2RrPeDkXoUxeb7kOlKqE46C7SkIchS8uD5dRaWZrn+6N70uoVCaNWMmjHbYeUDnNg/b8oLJ0ZdjO++SDjwoO0hewL7eBPR9Mzx8zMkRw6B445fN7tv1Xbssr/X7QOCG687YOzGJLtTPD9DEJQVgjS+CIBje03p4VUThS+aLvrm46MMgSguFzfrtNCuN3onUbSL7SjYlSjhyEKTexsOR/fN0dzuQhBAlLD1tYiZls/xJmz0fC72fDQQa5HHmgwTST8WRFpwYSBoK02zAe3hIhdZA+BIY4l+JLj71B5edetJ3NkE+5CHmHEhjEc2IzD/P9RpcN+lLQ40fGZmbeI+6EQQNgTxUBEGimGoGAQ2/TMbnP3A5zn0qm/i8cYTQgb6O0Pe/Obf5vzmJ3nO7AtZHQqksAgSRRAnSAShVqwNYoZ6gCN9ZqwWTUuY9AshkEIzayd5gapeLGk4iuYhbZYfBUQEKjY5t/FqkPv/5HofedSqj2qVor60MICUbAQxrVaDxfl2mZUVl+8sIkkuTwQmBRhmqPPV7TbYV/dPgOc5NJo+jSqpAYgi5B0nGHzoQdzIHn0ZCchII31hiIBdeAcRiAfWUUrBoT3omZlKjQcJUpvV1y5HCOreY8VtsHdhhosrW/gzDTPrmEQIoiqRcMhqu5ekRI+RKyHK7m+DawiBLroY4hgGEVqk2xyLa5IZ7ju3gXbgyC0hl+6xGUZmrQypY3wrouUm2Ej6Zy9x4Y8/y/7v/tu172GKetz/3i9gnVumaSuaTkLLjVHSotlIUK5ARwqd+FwYCCIN+70ON88EPO9lG8h0gBSOLC9QpSQ6Ecg9vqkjkCKvWlqXdryTDkxZLIlro4PILH5VE6ysfYdISJYWZmgU7mFWOrTrg3lz21HJWvBdJAmcvkD4tYvIzQQ7c5VFoO7fxP4GB44eIDl6eNx+ZP1kUqzTZWyL57vGbrRqFLnqRKSIhguRb1KTwxBI1RYw732miXjojHG7POsa8CvXb3qGELiOSZcs1UMpEIK696gTo0LIEH+uxdlLmwRKsXjNAcSFFaIvnSbcaJMOHTRnQpqWxblugyCRefapq8BXgs1QsRkILGEU6v2ejTN06OuQBc/FlnCuDx/66vV8160P0bzZAzcNRo0SdD80SkKiaSy22BiEbPZC9jUbYGviPgSRBAtiS9DtWnhSYAnFhbf+BXu/9XnYzQnZIo8RnpBpyv/8lffxN/f8vwjpEeuEBE2sNYPYvPIgSbjUjxjEfWId4ooWfkoEMliiXKnSVwneQpITAQAdJIR3XiK+1IfCWJBshsbPVP1oshnjpNLCjs3mdo+ZlndlRICszOdlggEnoS6gp7pvtyC83XyAcne3g7z7Xgbvv5u4P35MEoN0KBOBFDpKiO9dgXMr49dPjBwvomhi6pEpqTwhRagSWNhp+8RJYlIMJy2RnKUeVtuSZ43IsePHjL9S43nnSpnZYqG40+ysT8O1OL/TR3qCpeu7zLpmJjSMJVFs7uW7pmTu2rv+nKg3wZc6xRiC7pAH/tdf0bBiLKlpOqMSrso1pC6OBMtDl5Wgiydtnt2Jed7LlpHNtEqpFGUiAAjfRh6eKRGBXDWsfgtCmhikquRtW4g9nfr6Fp7DdgwRlbokGSal8eWrh9b0s3aT5OQa8eY4AY62NcFXltF75ien2+2WdnxZ2yJ2tzu7VR21LDMZqCPuljJ1EZ57o6kbUHftmfY4EUjbNLHaaZY5lS1OJgQzLY+tbt/8xp0W4aUIXfE0zDb6HGj2UKK8w5aaJTdivqiQCtjjObxwfkQoAE72FH991xHGVr4sLnkMHNjTop9EbKaposoHZZn7KjvJS2s3nRC9scXZd398/DkfYzzuZGDt0hY//19/HkiYaRzDFopeErKdGKMYa8160jfkQHcRWMCog0khUMJUessw70RcP7dBUsxkSzTRWky0WskhTTRJLyF54GL5g4zTdKCd7njQWpoxEMcJvUFAu+gXz3Ju64jAbgOuuEyH261DwWUH87zwR23evhgVDqnZL++4i+H77iQJIFvVrdS0lkC209rbE9oQ37uM+Op9453ettG+z64LlUyKHs4MTUoIGr6LpRRb2SxtUiERmGhUaxcqEdIsaFSB8MaLWBUrEyIF+xdadOOIXhghPcGRo+t4VmzUAaFRVpJGCUfEG9tc+IO/qX8HU4zhxG9/GmtrEyVMKqFMF3dxvcwVJAhDxSCKGCYBz+kIvuHFBSJgSZMFUkzDcxSi7ZUJghSItj9epTRb2Kb6HdgmB57ZmfG6FHNt9Pws20GMpWRZFWg2xme/+bkT0o4Tjbi0jPjyPYi2g2pW4pwS6F2yuXhng+jtHyunFWaYVPyrcO9dMcmuVPdP6sOeh56vISpSouc66KUlYyOq91DKbK8jXOl9J2YphWHJFs00Pbr9gDhO4OGL2IuKuaVeaYKZaIESCXv9AXaBEEjgcLPLdx1a50hrdC9bCm6djbiuFVEMrTra7JlvrJoxVshIars2zabDcpaOLQXK1aY9UuN6EZZKkGka7fJ7PsZgrVDY6HHA404GfvmX3sn65jksaw5HNol1wqbYztWBtbhPTEyURATJEPAIdYJxxxkiIIEsFXjeibh5fh1LJQw2rNyPG67ExH1h4kcGaQBYpNEDbeLFzvZNwQkwH8rmjlEFggixXXjJhdLCO+miGu1W+sPa9sQBW2ez2Lr1AjIikKEuvaeYKlhFkQhMGuwn/T1WGazcsTMiEPdHu4uEwGpprLlR24VVPl9YMv+K4pNr8MUTI1+fpdDN5uiZ6ghB9r6UmpxOlK/FLmg13fx3yfdNKEJUqxBUVy7LAqGkKK9mqQv+4GKwZcryM9/lrO9gNyxW0hXl7LbmusMreOliOY4bI6U2FcZUzKXf/2vCaiT1FGPYWe9x/vc/gSsTPCs2hlFobDtGSA2JIAqM3L8VdznSDPjbL9lCNlOX4W5EQMp8u7CkIQKZIlBc5jz7ToqrEjY9OLAH7aUpuFn8jRSwNI+enwUp2QkiWtkkQkpot8YDCFNMUhNFFCPPXYATJ9HDEByFdaydx/AkAXQv2vR6hnBc+IpP9LaPlAnBpLLgk/6uompLLrd/UhqjZaFnZ0upibrdMtkBAK6HbjRLds4QhPQauxQ2GlMX42iUBZSe004l9u7DF4lProMU+Ecli8e6yNTeDUOLWEscFbPP79NQpg/7KqblBrTcId91aJ3rZyQCmHcFHTti1o64vhXRtEAJuOXZl8w35pZtRzVFeant0xUxQ9LUVgss37jChTTfukyVMCfsceYdj2+J88eVDFw6u8FvvuWtSOngqDae7LDGNhExMTFrcZ8hAQma7WSbEI0tzMeRaJ0TATApHx07zokAQK/rkHQTwuWEZJi9dGEiNIOEJCUCYDILk/suwDCti130KXdTn1alGMhOd4htKVzP2bVCl64rFiIKH/FuMngdYy91oprZwuU6aLa9SgSKbZNijAjku1NCYLU01sJ4RkBGCIpEAIBEk5zZhM+fgOGw3Jnz57FGrpKaZYsnl2I2LpZWyzD88iqGckQIqtXFMkJQVCx2W7nMG69WOKYQFAiBEII9TY/1JCLGfG/uXMx1h1dwnAikxnFjsyKnTLCCHud+7/GX/J7u+PxbP4Ps9w0RSN+d60Z5XYEoMAuZoSKWWhd58Td1Ua1CP9uFCADGWDuWSQWscxMVbYGU0PKg7ZsBv0A+dbNhAg+X5s3gJiVaa7qDkNZMy3xj7ebE2e1EBSvRiIceRt99quyicBTWYR+dwNZFl36/rGhduN0n+f2PmT92czkW/z8JVzL41+2fpEJkhMB1zSTB9cr7HQfdao8UgTq7uJu6aFmmn1fLGwuJ67o4WrP1tVPoaFRnxF5ULBw1CkG2AB6ArRL2eAOaKmaPP8iXxW65Q7776CW+cRFubMdZghsdO+L6VsC1zQjv1pm8vdUS+RkhAJjzHZQlWU0CY1MTkGpECJRKv3mZYMmEjT//9OO6bsHjSgb++3//LfqDHpb0UcqhJRYIRYhE0sJjmCb+LogmlghwRAMhBG1ls+TLUuOWPM1Ns5s5EZBC05odINsKHVcHy/GyAgB6K4QLa+NpKYlGbI/P1ra7A1ot//JEYLfywbt1uMvFAOwWhCjF7uWFJ61oCGlp0x30yYskE1zYQoD0RP0XIgXqmjnk/vp84GR9gLjnVFlxKZ0vJ8dOiN3WZpC02i0SNL1+MLavtp47jJaNrWK3JadL1xZm4KgSAtsQtcWmh0azriNkFl82F9NeNG0UlunUUoBnRay8/5OEm1N1YBK2Vrusve8zyLQamxSmwJBIZ3BCakMEgB21w96beiwtNtN9AuGViYCJ8HfHSB5Nb3xAy4hAFa0memlhPL7FUuh9e0p1Nbq9IUmiac+1oNWa+K1PJAJZ+7Z7tb524dvYiwqtJ5wbjbv6xq6923dflyVQRE0K9tj1Jz2XZaHn5ia7SyzLZCRNWHr5coSASe9UJ7TQ7FRqiSAF9pLF/r81oO2VjaGSmm84cIkbblouhw/JhG85sMyzZ8v2zZMJr7j5YcRcwS5OIATCU0glWWy4rA4C8AUifWSpGC13nBbXkkLjJX0eftfH6p/9McDjRgY2l3f4rXe8mySJEEJyxP1G5pM9SCTXqiXm0tSXFj7HZ2J8S+CIBm1l86IlxZKXBX/ADTMJ37pvHSeVXqXQzMz3mf37S1jXzSNUxvTMbFa1JaJK9tsS0VCj1b2q6PZLg1eSJPSGIe2ZZrZh7JRdicDlfHS7xQeYh5y8rzjQ77ZEcd39tYbtHSMlPv8mvBfMTrxEtKlJtiNKC7tIgToyi7j+MOLmI8gjs2NtlR0XPQiNn3Nlpd6w7PZ+JhGCJKHhO0jLZruu8AjUE4JET16oJKtCWTynmIZYbFbNipjCt7BtxZzvcqk3QM2o/NuTtsZKF9OynTgvN2qHXc5PYwcm4qNv+zyNyJRilZgFXCwrlUydBJn2d8tK2GkOmGu52ErmRrbkUnOUUXuKkKJUYTJHVrmy+r3uth5Gtupn4Zyd3hBpKfxqCm9+Xk3GQOl+Rj3TNx7PV+/LkUamy3mX+eOjGat5HzEHv10jfvDbU2Vjwsw9sx+1ikRiahpEUX0Rn+piRHXY7foZUbhcRdLL2c+JBEuZgMNKXxdBSMtW9PfOIObK71Q2LNTeBkdeMmCuOZJJLZmw50Ua/0VzHLhhq/Q4nhNxYHarFHDoqoTOi52x4GOdaPMNVgKQhadYavkkWrPaGxr3TyYo2+m3LjSWFeNYMULAxp99muFqTRGqxwCPGxn441//NNs7Jg9zwbueQ8l+JIKDYoG9DYUShgg8Z7ZFQpe25dOxPF60pJi1NZ7UWBJunY15yd5VfDsk0YYILF3bZfYf7IVOAzpN7AUJUmPPCGQW4GGJ/Ju05izkjOnMelhTRzzDxlbua+oOI7SUI79fAToL9pnUGR5V1P9lgnUmjdzZ/3crP0pilgvNfIqWghc9G/9l+5GFxyyNi5uaeDMlBCkR4NpDZDEU4vrDqOsW8zbLjgsNQ3F1ECG+fA/yoVOTCcEkUpQSgmocgRCCVsNlZxCVZyfF69esbw6UCUFWOz17D9nvGcUjV0Naozz/L2P52foWqR9Q+BZ72j7DMGZrGJTIqHJ1HiVs26ZT2zJh408+Mc0sqEFve8jt7/oCSmhsaQIv7XQSoCyNchJD+q2EeL5PKGIWfXdEBCwx+l2dNCtEFLblSxUXYkag7DYqEkHbLhOBPI1OTFxoa2cY0kpXzCudA0wMFMxQWINEz8ygn3uj+ebApLv2RzNb+6ifStxmwNj3PW34538fmsWZ6W7xQ4UBu0gCMlQJwW62p+7vuiWQi6gLOiy6MCa5UPNMo0luEGEIgZcO+nEM213avilf3js0jzrcTpto+i+AnPM4+O2aA4tGij94cAO518Q8uc+b4/Dztk0JbKlRMkFIzWK7y+H2Dkpojna2kIcXTNuKa5wk2nyD1W2WwG05zPoOyzt9EzrlFwiBk4xshxVjqxgrCjj/OK138riQgcH2kLe+7c9JdIjnzHGdfhZKSPbbTY40HaQQLHqK58218K0hkY7Y6zX5ppQIgCku9ML5gBcsrqEKZX6Xru/ivfyY8d8BSIF1zQz2jEB45Y9NeAI1Z5nVozIkmmS1W896gwixZoJLdgYhSkn8SpT5ZdcDv2xGwGWIwG7YbWUwUehEdfcFo35Uo40thX72dXgvP47y628RdzXxdoQ6Nj8iAsU2H96HuvWQ6Tgtt5QDqqME/cBZ5KnTk9u+CyFAjmcatJqeCSKspB5Wnwtljc3wtWXVz/IyQhDUVDerNivLR8+bKWjP+vi2xXJviFAC1R7FUyhXI5U2kl/qA5S9HS594HO73udqxEfe+QXaQT+N7Na5GqisJF/lzXI0zf0Rq8kQ31a0HHtEBDI4anydgXwl08pHXrctSQwRqF0IR9THACQJWIqdflg7iciJwCTUrEGiZ2fh+sNGEaiWRZYC9zqfvc/us/8NR9GvfNnus/Fd4ocmugaiyFTq3K3yXTYJ2e36u8Y27TLw7xZcfTlC4PvguYhuD+IY37VRUrAzDBGHFo2rc6HsKhK2Yv4lNsePrdJ+oV+6t3XTPPu/cYjvBSWXVafV51hniyMv6o4IZRZ4Wn3u6sqolmBpoUk/iukGEcJKCUG224tRVpKeatbkWPvTTxF1H/uJxONCBj77+7dzYfsClvJ5tvxmPGGz5Dm8YNFCSZMhcOtszKwD/biPIxXfvhfmndHHeMgf8sL9yzkREEJz8NotvG8+PJYCJI7swdpbkX5chX3rPuRCRarLAt+69SvsARCEdHtDmhWJblcicDnpfze1ILv3brLbbvEHl5PViu2bQBaS59yM+4+ehWrXGRNwXrCP5KUvRNek4CEF+qbr4Jufj/DrfX3aqzG4RUxqWw0haPoucZwwGAa7E4JJcRWZEambqdQtU6vUeNqZklRXN1zo+GwFIXGSIJTIo76FBMszkp/xAUYIAet/9LHpEscFxHHCx97+BRZSebTthCayWhglIIPyNdrRbA0DFpoe0q0QgcpvA2l2waR6ImODzORZ/1gF0yIcm0EQE8fJmO3YlQjs1r+lJDl+DPHs47XVK0XTwfq+F5M899mTB9zd4odgtIDSpImEtYt9uRLbc7n7X04N3S3tOuvLtTbZEAI9P5v/9k3PoZsGGIrrDyOeey145WsL16L9T69D3nxojARZNyyy97taeH6ZmB04uoX1tw6Pt8EerVqYw1Gl1NaZhoPtKFaHWYwRSHc0IckCkIUA14pIdvpcfBwmEo85GdCJ5pPv+DxbyQWud76ZOenjK8V3HoxoWwlKwAvnI65v97CEJtQDvnkx4ZY9qzTS4MD9XsBzD1/E9wOE0DkR8L/t4HiFO9dUAJNH5vLNquOgXngU9i0gDi2MPjSZ5ok7yqTqFCvMWcqkCdk2YrtLr9sb5QhXfXzVmtyX6wy7qgWivM54new2UfYv/H05H5uU0GygFxbHjtPtFvg+yS03Yb/272IvFd8x+C/dT/LtL4F2G71/vykiUjx/cQE9N4ves0Ty4uchFtrl+998DH348OUJU90z6JEsq1PCkP0ueRChlPUFhYDaZWGTxBjmqsGPYnO8747OyQyVbZUHmMwPmG7TiWZhxkM7kvVhCBqkAzJ9VYYQGL+3cRdExMurrH3ijsnv4yrDF//8BGp1m7YV07QifDvMJfDMJlu+ScFa6wVoIZjv+GXXgJIIr6wICUua36rYb7PMEVWJEciJgBxXiCYRgULwalb2Oy9dLiXacQyZrVOciv17l9ia5PprEc+7prxrsQXf/Hz0vr15ga+J19/NNkA9Icjsq1XJrKieO+nvyjN8XTEG1WtUUax+OCn1sN1GH9gLrkPDs+kNQ1PVcK6D3jOPePY1UKgLIDoNEyy6tIA4sDAiBELA0izipqPMff8R2gvDdLOm8fyWsRulVOS0EqJnlwlBos03WnjehY7PRhKmi6GRphmOYuEc18QbOWn8wPIffQK9W5Dn14HHnAzc89f3snZ6g73iWq63llBC8C37LZbcACng2pZZ/91VCUoMuLWzwzcsDZFSM2tH7PcCXnDkgmFDlsmxzIlA1nFT/21pWeL5GUMCOg7y1sOj/N92A9FJy5L69qjmeKLR2+lSvAUiABAGIeHGNs10Nlvr49OFj3C3TnA5InC5GIDdZP86Vn65Duo66MURISjl+gJ6aQn1mpQQFIlAZgR9H33kkEmpAtOh5mZHbZ6ZIXnBcxB7Zsw7P7KEPnqk3IYrjakYI12myIjl2LiOXc4oyBSCOsN6uaWqM5k0Kz5lKVNKtUjSYEQIquvcWxK0xlaSmYbDehLlzRdOOUrYStWvLHbg0vs+Vf8erkJ8/G2fZ8aGhkpoWMb4KTUqQS4dnb/L9UFAu+XguFl/ZkQEMmg9IgIZkmSkAGW/bXFJ6wqpzBe2sStxKPk5chRvgiGormOhlBxNIoooEoJJJYkzFPuClCTXXYu8di8IgdzXQb/4ucaNUDw3u36d2nA521AkBFKaugh19VGuhFzU/V03i98txqDu2sXr1a2LULxe4V3rZhN9cD/NmSahhqDTyfu3np+D51xvUk8dBUf35e9OLy0grjuAsJVZITJbO2F+ltb3HKe9MKS9GCCO7Rk9Q526mBGCQkq08G2jECQw77vEQrNTWA1SOOabB5CqQAhUTHJxhdXP3DP5XX0duExI+yPH5373i4SJ5rjcjxKCZy1YPGtmByE017UG+CrKoy9v6lzE83v41jwA1y+s02gEOGmpUWElHHhWF+fFB8dnd3blQ7cU8volY8T9gr9OSsThJeDSODPPjH+7UfqIuv0AEUY0hN5d2ruS2fgk7OYWKF5/4vmPoENW4bqGEARBLVnRi4uo/8//hnX+Ismzbx6fDSkLfWA/rG+YNKDqc/g+yYtegLhwgWRxXIkotXHSbAiMga9ZGU1bikbTM2WJr/iaArAgKp+jpUTY9vhSx1KYb6mas2xbxoeqi2sc2PnKhvMNl1PrO4Rosi9HuoJkoCEUSNsoA2Go8JyQ1a/cT/ehCzSP7xtv81WEM3dfYvOrp1lwNfNpSWclNVlBGGElqJTfh3HCjo441p4ZXUBSJgLmAuOZBIkuE4EiJqlLk7ZDiQgAdPtDo1zVEYFS2y6XTVTTvy3LEO0DF0iWFuvT76JosuSfXXc3KAtcmd9vvF/I+v71SO4hZTlDqQghyZeCr1NSduvj+X5pCg9VoB0H/5oj6F5ET0OnuLPZQD/7OsTGZnn5dWkCOcVxacaL4rPNz9J69bXo5c1yDElGCKrvzrPNMxUUHOFZ6DCm4Vh4lmI9DGg7DRimpYl9iIeQhCZ7xlIJwxB8O+L8H32axb9zc/17+DrwmCoDO+fWufcTD7LgCpqWYn9D8eIFk3ox4wY85/BF7PSHPrhnnblDF5i1zcDdmhly8AU93Eb6AqWmeQScF+4rEwEp6xcSsRQszZeJAJjZ5MIs4tAo4j3bLpZm0ccPjcnevUGAanrYC3PU4vEmApc9/zL7STMedjlG+z7UpOBk19eLiyTPu3Vyvq+yDKGYVCpUKfTBg/U524X7fL3SYqPp0xuG5eJDGXZLW5rU3mKVuWo7qnCUqTFQgHBMXMFcwzEpQHGIcEbfm3QYpcQ5CVJqkztsRSz/8Wfq23QV4bbfvw1PwSE/wpYJjorxXBM5b1kJtjf6nTfjECkFc34aoCXFaAEcIEtdE9VvW9SQAxgFj47NasXkAT3LaS9Aa1P/otn0dz9vYtCbHKmJk75fz0Vfc3y8YE/+LNbXRzSK+66oNPqjsH/ZMZNwObdB8R1Nuk5dTBBgtxqomTbdQTh+TsND71uqPU83G0YNre6bnUEc21dvR73xNGeRf2uF66T1SuabHuv9AK1AFtaBUbbObYdtZ/EDmt4XT9A/t1b//F8HHlMy8MD7b8cTmrataVqSl+wJaKRy6OGD69gN4zOdb/ZR1/aRDZh3HBw3onU9yKaF5Sc5EbC/ofLDSDl6wUXWmPmFM6k4g1LoVstEBS8tmGU+YUQEjqYxCG65IEnXsmlM+CgeNRGoSs915xf/P2n/LiiSgDpCkG0zMnmlEl8mnU8qn/xI2gpfvy+wuK/mfTWaLjGCYWG98Hy2IORkQpC7BipyopSGSBbJQsbgx6RcM7vMCUEqPQvXQlmKjuew1hsiXZUv94wkrT1uvlsj+YGlEjb/6osk1VnEVYRwGHHmQ19hwdXs9YYoqWn7QxMvJDV2I85riQglWNcBM56DSn+XLDUszT02RCD/bQqyeUYEqrYjk3UrsQN59UqdjO2jJoZoGEQkgN+uWXQnO+9KiMAkFCcRdWqFY08mu8X71P278PdlJxLF/ZdzC1yuLY/GdnydhKDhu3SDyiy/EJs0Vrgo8/3LmhLnRbdT0Y5m31iREGQLJ9kFQpBt8y3mfIdEazaHAcITCJXZDpNSm7nLsiJEjoy59OdfnPx+HiEeUzJwzx/fzqxjygh/46JmyRsg0Bzds4E3l2B5CXtmuhx6fpeNKKI5Y9NpJ8zdGCEa5gewZwTNQ9oQgSzoIpNnqkwrTeUp+Ypl+gEplTK5dLuy4PBecG3E8f3o44dGP56l0OnyxnquQ9dyaNSlBonLsPZdB7YJke11519JR5uA3Qb/uv1aSrNOeGZcJkmik9pypYRA7ZJbfSUzlQohaPguSOiGcf25GSGwCgNF8ZrpNyOqPto0IDWvLVB93uKiVhkhKPichWsx57t0hyFBFCN9ZZqeBgUpV6MTgZIa2zYEwOpvs/qJO+uf/yrA/R+5G3YGHG8MkUDLDbBUgtYCx49QtkanqdqRm9CPYuY9owqIRsWPnxGBXE7W9YqATkZEoLgtKRj9OmTfVM233BuGaGWZb7OKKyECj1RNLPZV191dEZh0/UL/rZKAK7Elejd7tdt969pQhyudTDwCQtD0XXqDIA9IHr9mSggmLYJWLHFedGNmhKDq2qxOYKUcEYKCjfE7Hg3XZr0fIKRANkYr90prVJVQySSvvbHx4c9PeDGPHI8ZGVj90oOo1XVsoTnkR9zYNvnsS60eMweMD1A6sHRLH+FJtoYBs22PzrMFsjPqeNZeF+vmhfFUrjo/X8Gol2DbZSKQQrdbJrJ9aaGWVeuFWULXI4xjvGqFsowITMLllgDdTQ3InmW3znSZDnVFbH6XNmjHGVNIrrgtV9jGK5L+JqFCCJSS2JbFYBhOXrlMTPg+svtNcgvU5Qdn+8baVbmGJZmd9REINtPSp8KVeU+TDkg7SR8pwU4X4Fn94NVbc+Dkn32FvW6Ip2I8y1RqBCOJFt0D0hNsBUZRmXFts4pmJfWrRAQy1LkVM79uDWqJQLaYlZzwDUtJL0xwbGWCB0v7diEC6bmPmAhksO0r67e7YRfbkdmN3eyLvpK+/0QQgkmoEALPtQlDkwK6KyHIfuu6uKVJZHFSPEr1W5OS6tLaCMFs22UrdX8KKUxJ+OwxbBNQay4XY8uY+OIqa1+8v74tjxCPGRk4/8Hb0Ag8pbmps4ktE5pOyOK+nVE9HF8gfUk3MIu6zHa8UkEg4UjEUsssDJO3UBjjPNZyMcHfvYufz1Jm9bC6H9910a7HIDXgpWJDmWtgUtDK15MxkO+/jNqQ4rKd8XKYZMQewT0ue58reZYrkf7qkCRUXQa+Z9MfBCYzZBKZ0Ol5j3SpY9+r6cBiciGRwjYlJa2mw1YwCj6UhbXQLdfI30KQlygefvlugvWd+md/BqO/2mXl8/cz50RYQtPxBkihkWpUZAip8+DBrWFIw7aw/PLvZrIGLFP6NUOWElpE1g8qszLAxME49vh2sYtilp6HlAwHQ7xqHY7d+v+V9JcrcStehghcseT/KHAlk5FHTQh2XQ/hMu+yYHcy294fBEYZlHJ31aZarhyMzamrdJplp2Vkogi7LsugXIeg4zkkFnQLi1MpH7KVZC0vRqpRESIhYO0jt9W3/RHiMSEDSRix/cmvkGi4sd2l4YYooTm4tIlKKwpKVxj/qYbNIMB2LZpNN1cAhCMR803zYoqpPpnxLUoyUpRXqUsHaW2pyX6+6ipk+RuQhgikA8lgGCI0eBkhuVxU/6MlAo+QBNTJ/JdF9Xkvg93uccWk4PEgBNm103fquQ79QkbBGCEolhyuEoJJfsDid9b0y4QgC1YrEoJ8adJMOtToRNOZ8dhOYrTQoEFYoyJEOjFFiMwlTe6w0hFrH/vq5Od+huLkh+9gQQ1RImHGDVDSEKUsowhAuSZWIIlNoaHZGdcEbEZZpoEhAoawF9MErfw3MdvS766YTprfpLCMcHWFy6LyVEzfS8/L9vUHAX5xIpMN5F+v4nclbsXd9hX66uUk/8cKl41RugLysisuRwh2U1hTQuG6I1tf2l9NHS3WMKiWny+MOeXzkvI3ln83uvxN5ttkiRA0LAvbtdgqpicrkS+ABqYIkZDaDIMqZuMTXyUJH33M0WPyNax87n6sfo9FN+RAZxshNHs7OzjN2NhVSR5ZrRPNZhTRaY988sKRiLnGiCFlP0J1Fpa90FKtcNMxdd0KdJlRr11kRI4RATAd2nVsU1d8tzzgy8najxERmLT9ihn9pI5xGVzuHk8IIZCV76F4bSHxfdsEbRX2T1QIsvOKaxMUUCaRBWOfEYJKJkquVqX3zgkBgNaG4SvBTpzks1XhiLzHSaVR6YBnW6be+fpf3z75fTxDcfYjd+KrGEcm+LYxzrYdm+jpRCCURqSR1duDEC0FszOVqqJe4VvJsktKRjcpGONqAJguE4Hi9t0CUaFEBJIkYRhE+JkSkbmnvh4icLn4oiscUC9H6h8vXNHk5QqIzERcSfzRLu9d2jaeazPoDcb376YQZIRgrMS5Gi99XiKdRWJRUKt0gaSmabFCCGZch+0kASXyFEzpmr5AIpDKpCcDOFYEOz3WPndvfbsfAR6TL2Lt419BoDk8s4WUGteJmFkwL1pIShJphGaAZiafeQtE2x1L1aqVVKpEoLRvwqNMXA5XGCJQOW8wDE28wJXk+U/c9/gRgSu6/5Xc49HKdjwBhOAy7fc8QyiHlZrtlyUEE+6pawIVAVNZrM5lUJGghRRG6RIC37GwlWQriSgupytdkd9CWTqX/BwrpnvHg1eVq6C/ukNw5wOY0sOm2qiUo8VZkBpZUN234xDbVaMBl1QVqH4nVs1vXEcE0u27LZl9JUQAKLgXJ5Qxrl5zNyJwJdlGu+x/TNx9j9J2XFEbHo39uVz80WWu7/lOWRkonnu5QM8a1Bam2+WbG4uJkzKfDHd8h14YESlKI7R0IHMXKMv0FUiXRf/41+rb/AjwqMlAEsVsfepObGUKIkihcZw4T6FSvs7ZjbCEkT8SzYznGCKQlmUs+foyw1uXPlgtuZktL1qdPWZ+vjqojMkl5WhyUqmvLpMgb8dlfHxPJBGYaFAewc96uWs8FQjBhIHd9xxQ0sQNFC+ZLbqirMlBgrV+wCT1A9bMElVFecqyDQokQaezT+FZIAQd32GzN0S4cpRimFCqO27bps9ImWCLmPVP3TX5XTzDcOZjd2PpBEcmpsCQIF+YCCgFDwoLtnRMp+CTF1ncQKEPi7qliTPVsLo0dTqjq9qAvGIljNuVYnnrwr5sYHGbE1b7gnJfmFQY6+slAum1r7g/XontuJyquNs1rtTOXaHKUYtJtqOo3k443/ddemFN+ebs3Gp/L+7LlrouNiWzN8X7ZQWG6lRrKt9q5l5wFTPp9s3eEOnJchHUQp9wrNiISFKz/Zk70fGjK0/8qMnAxldPoXe6OGq0upiQGq2FyavOMi0kCFuyHUY0bQtLSeP3K/pPwBhXpcqpXdX0wQzVdcaLOcVVP1/hnOp1MmMQa02YaLyKBJyjOCjVdeZHGexzxax90t9XwravpF273aMGl23310sISiWFq4E6SZpRoBhEcX7+mGGXsjy4T/IDFkuX1hGC7DrVZW6VGiev0iyGNeM5DIKYUGuELUGmYQp2mmKoBULqfFUyR8Wsf/KOia/pmYZLn7wbS2pcNXKXSJWgNSavWmnjM5UQ2zBMEmay78BJv5mCnRDFFeGKpaXrIryLvt5Ej76b3RYiKn0vlUlEEGO5DmqSjajrA9XaBY+GCPB1qIlX0s8fCTm40msWcMVug0mo2o66/l8aoNPZtOsQxgmxHF8VdaxeSR3UKPVQFONI6gJNs8yV7Fr5tylHhCBbEt2SWL5F07HY7oegBLJhCIGJHzA1B7QGqUYphmpnm82vnZr8nq4Aj5oMrH3mbuy0IpIUGttJSwmLUR1xMEQAS7AThDQty6zAVZTztB4RgQx5pGdlAI/icSKQHT/Jz5ck9YSi4MsJwjRK063p0HWz0yrJmIRsdnsZInBZXI6JP1pc6YxhAi5LCC4X7Vs3aBeR1wwY7XMdmyCM/v/s/XmwZUl6H4b9MvOcc7e316u9uqv3ZTb0rFhmONgGQ2BAAjAChrCIK6gAF5EyJdKkLVuLJVNBh+1QyBG2whKpoCJkM2iJAdGkGJBJShAEEssAwwFm757uru7qWl5VvXrLvfdsufiPzDwnT5485963dHVVTX8RHV3vnHv2/L785bf8vqZR6AIEoe2hpDE4gMD1RLlj0f/2SeTEAAmQMKyOEyipMCtKICJaB6r8AVTeM1dn0i99AyLkvnzMhOcc97/4bcREVp0JLe8CIRosAdD8DAnB1NDLTqLIvMuml4b4rWFtVrcPBLgIu4JtMldou+UzCXiSICUUpciFxCBU9QQssfp9D4CAv33R/S0zWR/Tdpw6IAgd6x2fGACfF3peUFanQx7mal+7+kTv87ZbQODaDhcQNLxTtMlVAl0euzJOMLV2gBGdb2SdFgNVN+6KrO0Adk/oVTwVMJCwuhubvTGa1DdMIh0iKIVEwSVWbHMX9wMS0v6gISAA9LPLdQ2anmPsYMwL/fITNxa8zAR53Li3kRO72pcRS/F5ElnW9Xeia5D6WkvcQ5JEjZyBzlhk3733tI9trQwoDRtHSpo175QgHsQYxAxTwy5IIlIl0vo6Mki41iGeYf/Lb4Tv8zGSnS++AeRFZTsSx6hZHgagth2zgiNmVDcmcuuzbYWHr4M2ySzoEQiXJIf5A8y3DulO5eYmKApeTTDB34TEjqU+WTBBntgrt+gay8oJbdhSeQQLr9EDWrxzDyowUDaPDR1fJYN2jY/A9lCYwYIWf/xVpYj1eSajBAUkSuP6JxEBcaeluAbRg1jbjunvfD387EvKiUZBtrMPce1GRatqm4qwQU2dCFqjmmleApRgZW3YDAMwBpJ42ZgW1fslglaZ/Xi/7w52pcoCba8MlfOR86IEJQSxBQOVsncYAvN8nbIE4j1xoiBQT/Rdk31Xl7CjnOMI97SUcVq0Eum6jnf8IIlqhTbHBo2K9Qx1uv2aYLHOO/BzBWyFSpt+lLieLTO+V1YGmJqyH8WVqSggFaOenfgI0R06CQEOfud0u5E9jHLnt17FkAmTSyXBTDJUnIhqCOq+7jqfaFpwrA5ikCEDRO3NQ0RN8yjXg0P095GqWTViY7ehbphJIEeAkpqJrqNtuW1NnOdFNcFU+wOerObxju0IENssAwR6ZdlJflHDtGVsw7ILjWVsx1EBgd+aOvQbz8MbxxEoIdqraCqIOnMYLFtliKYYaFMUN45hzW02z8j9PRd1R1SzfSViIAnDjNsSQ2XK8/UhmgNPX59RiYhK5G/cRH73IPDSlpMTgYHd330dMdUJUHEkIE3Zg6UPVQqgQwJCCRSXmHGBwThGYt0ixjVH3JirZfpyt7nxP9Y0wPopPA+CW8rRUR/qAwEAKPISAxvDscrcOSGRfmV+kEDgKH8f95gj3ttCQBA6R0upOxTb+TaDJEbJBaTbpcwHBKG6cbu9bwxZcQGBcJLQrFI75YgkcVyHUmFllCAlSnv4ZJNVTClNQESZzh+II71Knn3xG93v7jGRu1/UtoNAIYk4pNK2g8ayphMZ6FJMWUqkJcfq2qDWOa9uW1X2hIT7S7iGWaq6qx31qIf7OOq9tuV2jEspURYcAxu66AKjVrpWmcr7TZecFhBwJ/jQZL+s7eg7xzHu7UiAIAiiPLsRyv2iVHsVDWlZ69r2eN8mBXpSAB4gELyZ72bHnQtYnbJD5Y1lSN0OPYkZ5iaUCK4AigZXCRvoElypCJKIg0Dh/u+82v3eFsiJwMDB7+kLR8bVR4hObqhOHpM6i1oBM8GxOmrG1ZoZlba5Q1envI7szmAugArH+Yz4QADQnoHEliot4hAIntTLYn3QQMDdvgySX9abcMx7PJKHIKTUQL/nJYqQDBNASRSBFsSd16/igF6sz/Uu+Qaky+tkx6ob83PG9MpAK3iqBGDzWyOiu5JJ/Wy6CYnOuYmYQPrGLZT7s87HftQluz9D+u1boKgzogFdWWFFhwf0v2c5h2LAZOzZBY/5EVKFeQQoCWSGG36SUKmyzVXqKV1zx5Yde42FREgWndce+6CAQN/2ZbwA77btOEn4wwKCnlbHgyRuehWXuXbPeWvvkmdX/KRjex7bA8Xd1rAdMaZlCRKRyjy6egHUOmMrcQ6+9O3wfS8hJwIDsy9/G4xq9yag3RYV9bBXI6kYwZwLrFQKE6q1JOFEr64Ekb6P1uUOtscFJC84BqZh0VGPre8zsBr15MTKfBrx/2VkmeucBBC4mf3HTKAaDBOARsi7uv71KfVR68tDMegqMdUbn8blNzLuyBnnOoGwOhfqTnwUdXtjJsGIxMHvP755Azu/dw0J0eXHtqV5xHQVEqDfhWvwZhCglGLkJg36tqNzW0euEGPd/AJHtB15wQEKJEnSrw99CwxgKV17ILZjGduyzDlOw3Ys8zx90vPOB8NEdz3t4yvoPG94jKiunJSO8sK+cbwyiDDnAhJotEMnUW0viDP/xlTi4Muvd9/zAjn2jJLfO0Rx8x5iKqAUAWWaLESXESrQAarsRxAgpRJKKExspn6ilVRVbWKtm8RbsbmlW6KZ2a0ClMQAagPgxwwBIIpqhfIQXCEUkq6yQnPNzoHTx1Zo5FSSfR4ECDjqNZfwgnSW77jn6KzP7o4DxrGuTCn8kmG78gt5eaxbn9J2PoBy44DONe3Ya1W8mPM4JFnKZqwnDIQQjCKG2bzU5XB2+EiADgFQrTNxLE1ZHUFMBQ5PoNQPu9z78lugRGHApA4PUIkoElCS1JUETnVXRhQmMYP1mBLjbXHtAbFkP64rNmL6u/hZ4qzDdWu5STrsQ1eiaSEECGGIB4G8g+pePKpbX7qSWK2cFhB40PJuAwJKw6WgjfyzcCVYkkQouOxfbIaqS+w+n6uEd4WzzfiLvTwjUxLd6MUjzLZBhHGse22kRanbodtLybqiQAqCKBKgVOuSunUH+Z2D9rMsIcceHft/cA0RrbOAowa/ALSbVurEBzJkyE3Sz4BoI1nHYI3iuC/KxvxdIADUxtoFAvb3dtL3VwKNfVGnQglQSABx7H1EKyGGKSt9bIU2yeTddO09CDnNsEGP664XEAQS+QghiBhFaUk/uq5rDYJPN+wCAm9fBQhafS6i2oPlxgZt4qlwxmLCMIoYslKAUAIyZFBSVZzjbKAVmlBVJQQlkcDsq2+G38NjIAdfuQZGFCJaP29l2AbaK6AkAAmQAUVacgwp03/HrF5NcVknbrpxXDcGa8UaagMElG8jQiXJ7vf1JusqeZkSlFwiSiJNYe4eC6Az5OhyoizR0fCRXEQse+1lQqqLnpE5JaQhsBWgN4+jCFIqCIUGIGgnpjv5a/6+AEWxsttZAHC6/TKc/JQqgZ5b20ExHg8ABWRmpUMGFDBTIKE638gC6GoephL7X3mr+z31yLFHyMFXrlXKTIiqKUQBEMdmE6YJWNJSYMAoKKPh1qFBF0qHK6av13hn2KADCBhuclvCEftdzoDlQwMhebdjfA9SHlQs8IghgziOUJZO/XjAGCzds8A/rm+sdcUGXUkijGJNjKSUJhUhzHH5OWktLFIV90D5+nVIn23zMRBRcBx+850q8dh2KAS0y5PGTdZBMIJcyJqCOPFLPQPhRinD7KOGLyDopVqyB4ErxPCalEIh7gs59ckSur9UMm6fPAa240Q8LB377cKPW08eoW3SMnvcIorigBdY24jA+eIAY26AQpsOIwyYnjsBaNthb4MCNFZOaK3Wp/k3HzAYmH3zepU06FKIMl+ZzQOmJccwMd2ZGi47ql9Eq6SngyTG0Ag3t5Pw9kX7gGqFV5pEkoZSL5q4TugCW+o3p5Shqwf7CWqaj3I/p/Xcfcc6x8cRQ1ny2h3XlexXUYYG3kPXvhDNqN3ulwhJqceyWwcvJUbjBIpAMyUCeiXg2BZXZ3R5oQIpC8xev9X9Dh5R2XttB5RzMM92aCAgG4lSoKQCUaOEARHx3L8UxP9eltwlVN0TAnBAO5HLPSaUw2TE5hyUXLQXEQtBr8k/6cktOg0gcSpAgPTU7x/pPKc/oTfEks4tmaAZO9/PSmceSRdpnZUg+FRhkKlkmwzLVBr5xFnDYYS0ER6vbYdmM61zbawuzb7xgMFA9to72iNgWo4qpZEKqIIS5psMtftEcYmMC4xXBvpg6wphTlmh8GJ91vXix2gAEC4cNxxpGnHeLDFzEV0L9TmTRlnqkrG4qzzINxahckVXQi7Fnt8E5ai1u13nc7cv+s2ySn9MQNBywfnilwE29nnufavUcVSBuUo8QNC4rj/p87rMrLFPSj3W9EUcN6NqupatmDFMkqgGXlyvakmiQwXKuLYt57gSAMyKWCmAMc3TT4jC7BvX2+/nEZe9b95EZPuWGECgFEEUSVCmyy0JhS6hkgqpSc4brZgOpo4btQoD2G0WCNCA7bDG1+cncXsQhNgmrTjHKEr1pGHGZ1mU3YuIrgVKn/3wbE/narVPTivJeBnbcRQ55mKiZTdC4Ny9Rhfgd463AK5aSJhjVSuM5OWbuPvcucgBBBVPiTsmgXpcumPSbgdqvgFA245BjJzqssLKdtjyQgVQpkP0ShHNVUIlZt88nt041ted39gFnc/MvWsFUpJUKxwlTfajLbssBAoKjAZN5W3E+mw8pouS2ENe1eDoWs15QMBur49rThZlUYBSAtbXetSN87X29U9yQc78Pjkuiceiv497TEiOqNQLjVpof18c0Co1Ixrdd4C9SjEb+2zsrsPLFLpfCwhCVMQNzgInKYhLRKaHQkqkrhcGAKJ1RBkcwmId/wO0TilFkL9xo/3Mj7jc/+bNqoIgiWrgbsmXFCcgcd3ZcZ6WSAYxImM7lJNjVHkF7CTuE0EJ0Ta67u/91ZwdJz4QcPZVJcnO+cqSI7ahn0UTVVf/EneiCshCEN348SlM2l3XOQ1AABzJdixcTHXZjT56c0rB4giUkvZCwoCJTopiO0eEbI4dUyEqYkrbi167GObWQ1bnuighMYwZCijIiEAJp/poQKC4HnPao6b/nUQcYpohu3W//U4WyLG+7OFrt0CgQKFjFAB0qQN1QwT1BJ1JnTw1dJPz+uiHXbHJQMG7D5yjOv8CF50nZSlqdP8whAaWkb5V/jKx+b7fvMsegmNdq+PYOInBjTu5vb/HZdhbvdAz5lpZ5gFXICWNsMwwZsilamgciUj9N1VVuRAlCoxIZK8/fmDg4NVbiExsk9l4J1W6FNmIG0LJhMRw6LvgSTs8YLYHtx11cux1MzfPp5RqhgkWhQZOKg8CCCxrO04qp2E7FkkI8Dvn1yHGQG7OwnBDj40ISWfFQnsbcc5tc2UyJRtjvkFNzFA1O9PdP9WxQozHetvpmzuGIEXfAKUKJLLJhKgoRPVOgpwYlFN1HAuQMNhabeF9GJ+m2JxTVVSfAeKYEH2o2deViMKl0qVBgWQQ97qdskBBlmrGASwfVzsthH4a11lSqY+dEd2nmFIiHiRQhEAEsEB13dC5LWVoayVnPFw+A53d5yfAmnKgIDumGevDmCHNykanTiUVaFxjBhLJuvU3VcgeQ89Afm0HgK6JVoqAUQnG6lwBt6wQlKAgCkNnfNkGRa2W515Gt76IE1x1xX7zYF5BOAEVlOrx4JUrC5t4nPTYDrpgYql+s4T96MsxOKntOKpdOY1z9d3zMpVYy1ynKzlUSkRJXCWPN8RSFHex0EoVZqg11W6tZGJVe7Ra57Geg+qnxgMQMwzNebLM8JRU5ct1My8lbXjRliZLzL/9oMDAWzu6HtjUNtqSKEgCmuhnU4V5oCFDoSQiQkBtgkTcdI0Y+qR6m31xbqzFpQ91jbRL/eh/hAZFrUc/7FF/CoXu9qP2HjtXkg8YCDxoeVgBgbRomAJEf8PG8U7pTgsQuGOj0e5a9Y81e5+JM9G49cW+69rEABPGUJQCoFonAK0jJNI6A0kASRDHEkJSRExAHs5R3J92v69HTNLdGcTBrMo10oSBQtdHK93TRNMPG9sxoCikQAzoBCtG64WEW77plnBJx+hSAxBcmxKx8EKCUiDx6r2dfcrnCTDn41wnSLG4w3b4QKCjx8FS9iN0fitHtR3HDQ0uOu+i64RkUdgVR2QzrQ7yktIDIcmIddgNt1TQn/TdseHzkbgLCbdkmYs6V8COFTdPpUF5buc/BhYzRIToZmxU6wQAHTKgqKj/pSKImNTFcVQhfWun+311yLFGwPzanaqxiFIELJaw1KoktjkA0O68iKDgAolVTBcBmYSIduwukIVpcgrCqzXHMPhiYoAh+mGXPphLBcY6lO47GQgc5doPEhA4xsJ+N26VDQgYXQcQBElhOmiILSCQsj15+NnpDsWo4s55kggJJRBCQkplwgOkWgGTuKYbZQ4lL6MS6Tv3wu/iEZSDN+8CqBMHAe1VtEKtGTC2Q1IFoRQSO67cskIXbFmxddp+2MYmbblAwEqVVxDIBrecJj08AXoi0VwXzf2y2yNwGrTlfYm2IQmdZ4nrLy195zqq7eiq3jgKIOjrWeDZDlF9K2dB4F/bAoLQeS0g8LzaFSBwk1ntvTJW8WRU4i+SASBhSCitKh5820EHqpp7mZNIWLxzJ/CS+uVYoyC/cbdKArKgQJ9N1d+U1nkDpVBImFEMr81rZ+ylixGqSxYNuAWUk0JKRCEwcRpxvkXysAOBo9zDg6hp9r5JFNXfUO/vAm4nKK0MGrmOcdsqdyNVW+xCuEptdlOAODwdVqcYUUjfvtt/z4+QzN7ZBXUoiDXGNl4A95UZ22Hdt0nM2u/VX+k1toe/S3AyOWrs1xNrtlsLiVPQ16X4BR5H23EccHTMe4kipr07C667+JzhcRRchPb8vgUgKUGcMBROKKORawQ4tOZ1Hg6/8QA8AzwtgIMppCI6WcEShjBNj6hMtrRtWwypDWBsm4q4FKJJAAlZt59PuGJyCgj3OOjd8i7/GEJropkuClAAkBKi5Nrd7Ir1ZgCdOQj2+JB0lqf49/i4SdczeeVZvb8J7bffwPUAoDbEwi0R6qMojaL2Pbqufm8f4RytnAB7jN/i2CJ4j2I0Nsx5hZCARN3OGObfpFZqasoLAaC8+fh4BuY39hARBQWik4+pzoJmdhFhKrForHOOilJ/y8HAlGq63pZQPoDlf/fzjsw3JX72t60ckapZkuzuQ0c2uxkLwrSnboCBBavMBlHZcVfB1Q97cgishDLiH6Qse/0luzYuZTuCoQcnnGzOwRit8j5q29FeFPZWr3ETqvb32dJkvwQZ0GM01OIY8JgzJZIoQmlPK22uEWnoDKO6GolSCQqF8v4MfJa330GPHHkmmt+4b5J/UCUQWhpRQNdNkwggMdW0q1yikEortHk4wCsrtG1hXYNrY31Ap8GtXnIgZtMAArDlZW7CYnOy4CUHa6xOAufsG6zLxLh8hTgKEHgvldle/yj30OIIaB+7VL+C6scOEPD2M6YTRq1hroQ1XcgNo+4CgpD73+4LAVW7vaKqNStXqeqJiBqKUaWMQlPdQ8EJIZBYM4opi0MGClIQcymtY/zO0UuEHlaZGtuho4WmJFnpVqwAIEuiGRnNQiLPOcAo4pHHJxBHINYeFA6Ic9ue+zzxZqwQN0/JGx8t7pJqn8dN4EwWvNQTAbPbQq5yd3yFGEs93Toy4+AygMBe50HLstfsW2yFfu4vtEK2gwRsuLufUjBqwIB/Ducbt0qTPS6S1rxiKhiI63Hw+2FUCcZOboGlHa56aiioQiCJKEoG7d3iejFBEu0dkAYlsIGAqk4pIBWQ39nvfH8hOTIYyHf2wYiEBGmECOyqRnMM1KeVhYRkBIlbQaBUi2kpSCHakQtQTezBTHDZAgKt4zwgoJSClEqHCbriXgFU2f6NXNyMqLqZY3gE3mtAcFRZ4hmX6lfQt8pylJqHsoLNyi+4uotqz1DrnCbW1zquK7fAUox6DHn2vgkhiGMGTlFzDUDrSsW6x5qhAgnyWIGB9PYBIqIqr6IVW1ZY8ZMYKUqBZMhAbK6Jib0Sn37YMrr524Bg2SfhPDw2q8VHyKtkAIG3ahRCIrLla4vi74uoy3EC6uFlAcHDKH33fpKQQZeHwNnP4giCCyjfmwQAjIU5SoB6jIQow0O0xhYQAOGKOW+bO8ZjpnPaVEIrrgEApmrP/NsZljo5l6DY2WvfW48ceUYq7h3oCxKXF9kxbt4ZS/Ob2LrR/LwBuy2UnGHjJ94koDq2N+QI5YHWTcQY7T9uCfrQToIMs/87VpZR3C6xAK+nvDCKWO3ua527+7jukIYKx5mtB8vfbkuKAvkCdlvMqO6SFjV/496Cq0uMKJR39sL39whKuXsIAIhonUDomgI3bwIASijE/vcJfcuQXvaMl2BCoD13T116aPIRQoL19TVYVk56/MOaO/Ag8oxO8FyRqQDqLUsOiSW2O84YCxFahSjUzbkTM3eWXDT6mkA2daYqUSYKEVXId95lz0BhFDpmAkLQimxICVIzIxXGDUqJZk7iEsy+NNuQoXApYI2btUEHSoKrsKoBhDUAfSs333VflW403clKaQNPezLKT0w/HJo8jiKnlfV7XDnO9UPgzpMj0xN3VJIQRhF8o+ZbtzjH3fHRtc+EoYK5H34XSy6aYxnQY9yW0wJglECUAiSpOfVVIUEHxFATE1jyIWlq8Mv7h6GneiSFm4VERCWE1KVQjElIoQ0YjeuSZFBARgRUAtb/aTkampUa1nZ4uQCRswpz7YetGvBXZ5TUHAN+l0o4xt0b0xLQdqPPw+Xaj+PYDu83LXlYgcBRrr1gBR88ZFnb0UNPTIjer0L9F2w7c39il7IuPwxVt5mx1eysK+sx17IdBlg41TKqNK2ME6Zz2ZQCL6T2upvbVNzylChIUVOZC0kQHcN2HHmElLu67pkQBSlrjgHJAZKYm5TQLyoxZRtSgZaqwTFgXX6N5Aobc6XElGuQ+oRdCV5uUpC/zzUCrQSOGhBIaGUlcFGXEz88Kf1wlzIouRwoeJg8CsvcS99zHQU0ddVTB8oLKQ0otA/6Ai2Qq3O6QNCnEnVjfQ53QTVGhRMDdPpqVMQ4hmuAcgVhJ63E/sZcJtE6BGiucSkNGDjIagreR1hEKcAP5wB0CERIisjmDXAKmihUvRqkAh0wCCgwAOBSu02TeoJXXJimUN53s+Wd7hixxrnLBlggYMUjFuriGIAZcyS00rMSsh9HtR2PMhA4yj0sAgQnsR0+IDD7qbmmBGleI8Q1UP3hhwMDXCTVcQFQ6o5Rd/5iOslYudsShihmgFDa80kJ6ECHMKseQImC4tTcioCQVNuOvXn7HfXIkUcJP5hXnk+pSOXWVIrULgwJQOkSCGFQPSMIrMBUO9bnvjBXlOEF78oSDWSB2/P1dqKi9YqSdrkg++Qk7u/vVDnpOwt8E0oIpK0yoN3hHNXVVtRO+h3Z3yoYxmqDEgBh1syIgRFAmHOQiAAKqLgGGIFS+nzWM0AJwIhEeXA0pX4YJT9IQYEqPKAatgM1xwDMa46ITu8hRFcotdoUq3B1BxD2HoVCOzZXqYtHQMpujgHzHSUIaKgbqL1mX2VNzzjvDTceRR4m+3NK97IwFNu13wKCxiJCfzvpfg9/sjcS5Bux0rWvy2Nkx2ioas47B0sYlFB16XREGqbINvjSl1OVHeH7RyMsOzoYmKagRFVMR7ZBAmUOsQIFQABIQJgYaxQHjHBE2y+jK1mMhd10brJXZ0bqgvIe+yJJKJfhmIk5S9GH2vvok4dJma0cY7JuiHknx64ZVrJl8AkhWqGt9AHHrozsrqTUKhktQCVqr+WKXbU2fisRxayqS4eE1hH7M1n3JrDldvb0jwMYKA4zAPVnY1RWlROUqaphU8VPIhWEVGCUaNeop8MkouESQiAIxMLJpwYg+GWFzr7wCrSe5CUXbbsBLAd4e2zDqSQhP462AwvezQKQ5d+D/XZKYWFYgVRJooHvzXn3PiC8EA5tF6KVIMugK4+EPYabUlwHu7jA2ib2i8N32TMgp3NIgzyiSEBwoj0FsYI0zZ902YOO7QlDI0riJuNSVVrou1hdFia3TNBFUj7NJFCjskbdsVMn3FXeIyWkMQaVZ8ACDCtdFKL2up4sRR9q76NPHkZltnJcpfZjsX2xvpCL1K8rN/spJbVCu8d75UWVcQ+5/UJeKTdE1Yj9OuVrcYRQqIs0St0kaEQhrPExcUKbPS9LrUOEAIKTyoUOAGJ+tHrhh1HKwwy2qRmgSyeloI7tMMAgrnMphNIACoxCFY49sFTDLoNboANctd3yBbjd6Wz5YMi745YWSq+s0I6BqsJBgKJrNdizQLGyyH68bztq8XPHevb3An5nf+UZ4LxtNxw70KgqCPAJ6ONIa1815phHaRzqtGkZNCl1KIsVUEqdE0WbtsPqiixJZTukoFXJ/1HtxtHBQKofThcFqDqJEGi4PPUDazrRKHaUo+Q6eSryXoyfZdmbxOUYAF9xXGIZRypAECjvkUIDDGpXCiF051KItl7KgkHq/UZTzj3CymxlGaU+Ks1oXyywh2KUUqK/Y6ikx8Tw22WCjsL5hiSwyuxNXg0lwUYmUdDWolNqmUOr8kLCjMvPDi+mdYoQVc9TadF+7kdMeFpoZ6ECKHQ1gZDadhCiqjQT241NCZ1fwQaOTSg0dTBxgbrllvDBOzc0w543pyItCxl069rvan3uAQG9y3wn2WEfLCA4if0Ixb/75HGxHa4cBzS5diPk+jd2A0pCddkNSha3QO8Aki2CPNsC3V/Q2rHr8KQQO7cZ7gFGCGSsPWZVK+OofjRCtGdRSGM7oMDnR7MbRx41qtAXIA7Kb41Ni2CkghQe53/ITesmZbliftu50u4aUEdUBr2iVCChFrjLymnF+IBHQ5mtLHuvy7yfE7xDohRkqOZ3kSwaQyFPRij05Ca7+ucxv2WUaDAg0ejq6epP499Gx2T66HsGeM4rz4D1qiuFqjwZMM9eISBAKAXqLwK6XPJB2xGK5dvS0I44/xEnWilVnXjcuRDoCCd5stD9DTweQMDKsoDgJOGUrrCzvYRZgMouDpNF99cVRtJJdeF9IdsRuhYhDdshbI6RrI9r2g4FdwoTR7QbR/cMFGXD3ee2H3Xjn4CO/SkCEPfZk0CiRRcZQ8QAwZcnfrFGIYDkKm6CQNmQPtZkBXcliFg5TumPv39RHsJpAot3Wxbdq9+UpU+W8aq09ulVPXFL+vxjTY5BEFR2JZe51SuOECl1xnCIXhRotTFWXFTua0JQdRuzfTsaeTZA1Y7UCiUKMtRv/RETmZtQnPOJIiarnCMSsB0gBMTVxcTJlKpOYgyyDwQj1szUNlIlE4eAYxSF7YO7IAmMRcIsQOyyDaR74jDnB5ZIjAO+c21Hh1TvrM929HBOEKW697u5TSHboWQ4+ZR3VK/Ycepvt+O0RaalqgoabTskEJGW7SDV0CBwG38Fx3iPHAMM6J7rSunsZxYpCE7qjGAKqNK66vVLVpVhpTr+Z2Mj9kmCNI1OeRAXzY/uUsWG4nlA2H1jxVf4EI+An2PQ5+628cOjeCoeB6VeVpld6XhHnd0d+8IrvnvfDwFZha2uHXALV8f17XOMdaPtdlzfR6j01Y5xRitFVzYkZv8uNTigsdZ9wbVOWf0iRGH7Bz4cfGePkshStypmRNMs62oCCcEJpNAxTwCQxrNJYvt+9DskEa0mfmU5StzSQjd/wC0tdEJHyg0rurkgQLM8zLMPrdbnvu3oc1eHbEtjf3O8nwpHycNuO0Jud1+OylES+k3LNgSqTNxju2yHv5Dw9jUAQaP8mNaAQMoGVXnFtuvOhaa0EIAe4wYgkGqb0QWjG1ZXaKxpzG2uka0miIcdVXQd0kGT1C1zXoLJAlRwiFxCjQqAA3GhEI8AlPo/xiIQCaQFR5ZzzOc5sDIEcpNQkZcgIgaGg5qACNAxkkGgnSihUIOBUf7AKiCJmsQj1b5IfxCftx4AQIEowjzjyLIC83ne7FxINXjpFGcAHQkIuPKA6oTn88w8Y3bicy1lbI5psCoFX2QwRHN/mhYoihLzrDQInANhGiLNGR7KIFdSj8UQohYCJM/bz1VwPabde5UKyAqorGxsm88LZAXHvOCV10Ck5j4UUGQAN2N4llMUokTeRY32iImQAqkoUcgSVJSQJQcZlKBcISoFBkqClAAEwGIKKoGMC6RZiXlagKwkte2AsR2jAaqsZUB/i0EMP58PlAKDxHhlvAmBRYYONjBWWKTLyYI8D9p2ZDmHVETbN/+aOrEq/EIWeMqCq1FfHoDtOFW7AZya7ej1ovTZDqUaiwjOhXm+AnEUmaZDri/ePa/SeQAiYDuk0uPP3ycViOBAXrTvqeBAWjSfVyogzaFyZ1wrhSwrEROpbQcAKThEJnXIUQF5zsC5LkmelhS5AKg6mmfgyGDgeraLwew+BpFAFHGMiYYnUaoQcVS+BpoykCHD7VmGWV7qaoJx0lBGkkTAoLmtQk2xh2oI1YxOIdpGRk32ZWDgRwyqa0InemUxneV4+8Y9RDFD5J6fEjRIn31xVgWqSzG7Sk3ce1gkXQblCJJlBd584yYAYDhMTnayZXIrFip0RwxPuWCgL1wjGvtv3NpFWXLdn0AZFN5xD0QE3Mr6pBo0hoy/EDoz2D9nKYCybN6rVEBe1CtYs23v7iFu3J9haJuQZAJyLupLHwDCZNXPpyk4j5CVDJ/sfguPjMxFjrezu5jKEgPGkUQCE5WDEgWWSyRCwpYks5yCDBne3D1EVnLc4SXIYdy0HXEEDBO4PGFgDBgGbATRXhwVCiVRU8EU0lPKoFgU9p8a23Ht+l3EcYS5H5+t8hJ67EIfGOij33bvYZGc0Hacqt0ATs12kL7f9NoOs8/s50Lgjbd2wLnAysqo33ZI6IldBmyHSY5v7ZMKRAigKNvPXoo2SFDQC4myaTtev3eICaE4MCBBZQJiJmG5SooDpr1simA2G6DgDKNsHR/vfkstOTIYeHK4haEQmCQlRoMSgxEHiSTikUQ01mWFJNK1wWTIsDZKcFCUePnKlp60zaqfREzHQwhtKqP9txsmsBUF1mXrKrtL7egTD7kr9xbxUL1vf5ohihhefv5K7RlwXYOL6oiP6x14gMlAFtm/+OITGI+Hp3PS44QJeo5reAX6fmuVykH449EARVHi+acv1McEEH7VScxfPbhuY9ftD1SuZmJ/43ZQLMraENhtJTdeBlGHyPISd5MIA0bx8vkNqEJCZQJqVUJxBVUo8BgoUwrFKXIaIc1jzIqAl+wRlDEb4MnhNrYGOcZxifGgxHBQIook4pFAPJKgCUBiAjokoEOGjAs8ubmC7e0VHSe1nU8Z0wsJh9EUhOoVPkUzTGDtBaUGDNCWXQHQpoh1ywdblLP1vohSJMMBrj5x1tnt2oaAdyBgO1xp2ZFgctmD8ygCD9huAB2TsafLofP02Q6lmiBBSnAuwEuBZ566gPWVYbftsF4Bu89fzVs99+2DlBoM2DCBdPaVpb5EwetjSg5wEwqzYYWcQ2Ucq6C4vDoGuILMBORYQZUKsgDKiKJMGTinyFiMeR4Dg/X2++mRI4OB0SDGIE0wjhRGsUQEgsGQgyUUBABjBHSsFY5QglHEUDKCsY2vRkx7CdwWxozW9ZbuRG8BQRw3FcRO+m4JGOC45mjLDad8I+DsK7nAcBBhPB44nQs9BfZBhi9HBQTvQVbwcJhgPB6enlIDRwcERwEC/jFBA6EVbjRKQInCeBjofOkoJ4k9Y2H3SwW4+2w+ipIA9+qNrSegKPXqFABEpI8pOEAYAL3iVFmpPQ1cYpxEGA0TjCMGxQGVECBSkDMJAQWVAEIR5NMILKYgIoLgCfI7+xicPZpiP2wSRRHGUYSYAuMIGEcKCSEYDUtEA4CAIYoV2ESvqAkhGEYM40mCsU3AZNpuEDeMaPMG3HptoAYEtpzLiLI95IlnO/RNNu2HFZtAGNg3HMQYGNthf9sSN2+gx3YAS9qPB2w73hW7ARzNdiyyG12/cW1HwFvAi1I/3zDqth22LNn1Vrt2g/PmPgsIuNCLD7vPtR1lCTBjOxJmQgwCkGYOHMQ6VFBwKKowjBnGSYxxEkEJARUTgCmImQIvCAYDgCuG2TQBjSgUj1GIo42DI48aGkcV6RAAXRNtz2K/RUWOoHRMw51XiwBTUygTG9AvlUVtBenI9K7cQ4F4Wx/PgD5W6TaWISAALM5sXTSw/WSWPnkcy4OAo72jZa9h3K1KiKCy9/IMuGWC/r6OrHNFqY4zh2hEgWZFDCXaA+aGCyjROmHbGDuldIC+VeEosVQE06+/3fX0j4xQkxXtfiIuaFVaqEK2Q9Op1QcUor3KtiQtoQztAJsk6bIdgDbqIfvgxqhDK3mbv9JXWqj69utzv19a6MlRSgv7bEcHEACg+5l07XcTh0O2g9Bw7pEZW8S3EXachipfKG3nvBFS8QwoBa0bXLVsR9XfhOp+QVaC5ZI9cuSRQ0wWpHJm+NaCrSp5IJo32b0pW/rXOCltHOf/tjNrtGsAHCebdkEMb/Hxp6iED3s2sCunea8neIe6Ycwxjj/iGOrsb+6yZfrnsSxnUmmFo1o37HGu/jT+bXSMJI9+qIAl9SKipv9GVVoIoG5wBmhPfItimoRjzqEY8aI67y7jf8TE1wY26ZyQSP9+e66+/e+XFgZlYQ+HCsSFcyeUAe/B1Ipl7q9jYbmQ56L1+45wqJ3wgToFhdbHNW0HaTwHDSXi98jRwYBxi0pTHqRbkNr4nLkpmwEdETBKwW2dNCXadeqWUwA1d3hjVUVr5XRLC+15gEBpobOq9xBbH88ANW5DaT9KyFD0oVRnQCzVgnSZboWPglIvoyzK+z4BOVIr0tY+/c2UAihrrwQrd16IZ8COkVB5WGAFWZUWKtledVrPhLvi5FKP9apnugL1eQVEk2dcCq1TSpFqGLLRKSRuvcfChnFl0CRMWbLpT6AUqapGbY8CwggopRC5YxMSzQOi3JWVS19upWo6JQNd5MzvBW/quesl8jPCbZjArvCd8UqpaXTWtUCxIYKT2I/HrbQQOHp4cVFp4SK70VFaqJTeH+w8aTwGwcoOO378fc74aTW5ErZc0Mttc2nNjVSdC41HTUgJxqG9jcx6z+pHU0qX6DJqbAcIIhu6WlKOHiaYjCrSIc6ZqYmG4Uc2D1JY4hAKRohu28plxTugf2Neppvhy0WTXrRR26vq7X6tOVADgcZLNh/Fd/27Ck2pnkSAehXiA4LQaq/Hbbiw/tW9jz55mJX6uMmDofBN129Cq3Bficx+KV06aed4j2egAgQuWLSGojrO+/YuNXGjvtihEXX5B0znsaqawPAMiEKAmpUtSexv9N801jqkFMAiBc5r40RHR1Pqh1HiybARXuSCgjLp2A7DM1Da90PBKNELCSH1+7I6XNY12A3bUTi2o75QbZwb/eVVExB0GPQKCLj7HPtBKG0Xobmr0SCA7Z/Elm5/3iePue04rfbn1uY3FhJuPoC9JdeuhIAk0B5TcBLXhVeybLcXnu2wJFplvVAhCYPgslpIkEgDU6srtreHXhBJcBNmPOoi4shgIFrRSk0JICSpYn5SEOdFAzBMa9RQKopStAc2l+G4P9BGcVY5QxOzJXLpUryuHACr0G7nKvc4m2NwDFnIjOXeR588jEp9XGW24sbijiMmB6BxSVV/RwBtIFBdOxCmsuekJMhaV42B1oqxw/0bsXb8j1JwLsAq6lrAbWEMSioPG6EKQpK6SGbllBO33gNJVvUz2M9m+xIA2nbYngRVPgUlmr5ZKU224umw4nL5FsbWPvhiPYF9LYy73MBmbNGIhavllnFfn8T9DXxn2g4sEU45Qm5S3frXWQx05BAoe+6Q53hRC+NW/gAJb2dMj21HBBRUKcGsfYua/UwIRW07iNYtAKCTo9mNo4OBtXFVoUGJcm6ibqBg64UV1y1I9QMh/EKKtksOQPulEtNOtMvA+80fnPO1Ejnca0lZdR2ToUF0UoV7GBXyvZaTvrPAN5G20ZT1JnSFJHgAlNpzdk0ayuSttIBoYFUJmCTZ9oQkFSqFVlzBbWGshKp7EQgC2yZcSIJ4fRJ8lkdJkrUhJJw8iIbtQIM7iFAAXGmvolS6rLAFrsjyLYy7kkTtBNDXwrhrnxkLFHrstX9DG6AhvL97nB+7vbcvD5P9OaV7OXYLYzvJO/utzSfEWSR0tTDua1Pcta9rUeh6ul0RbRskS2HCZhZAqKZz3MmrlZJUdiRaX2nfZ48cHQysjwFopaZUgXOjFBGgLJUohZnopQYDlEBahTbuD2JJOdz6bsfFWtVv2xO62d1+xycXfXXEqFuAwOlMRgFASUgX4rugZBGtbmCQL92GdBnPw6Om0H3P5aLyvjgf0D1pBybhKjnPPb7Vsc7LSXHPWY1B2lRQd5+73R2jfqjL5ChUSYKmdlhGFMzyjxf2N+YyhdYhAOCcglJNScwGDNHk0Q8TDFaHIGYFLiQFo7IKhZBIQhZ6tUMYtL3IBSqu0Yjq1VJRVx0R630R3ner6redMcI6srurNsWqCQg8LyPp2idluEFWKKzQuX8J29Gnc0uspB8K+3FST4f3Ho5sO/zVvtlvbT6Fal7Db2EcCita4bw5VzlSjblGGMIZo+78JQTAZd2xEAAKAV4IgBHd8E8qyFwDBsLMYxUEJJLmFFq3hKSIzVy9rBwZDMRbawCAUrA6eVASEKYzG2WuQBJ9WiUVKFcgEYWwL8tyiLu93kPJVy6Rgx8rqgwubX9095iusiJ/kiD6ekq0r1fdy6JEuKMMVODo4YdFRuHdluNc/zTbkAJh953Zr4QMd52s2okGDHanC8/sCyWvMidhzb0XNwnWbk8iM46NokqJKIk04ZCN/yUUMldmIlSAJJVnoBQM0WPgFbBCN/VKhUsKRhW4oKYFukmAKgGS1KFGygFJVbXsUYV+t8Rt6FJY2+FNwCEjDDj95f3wpAEEIZ4BOJOBN6YpVF1aCHTYBjfX5Bi2w/tNSx52QHAaQCB0yLK2o6d0UCn9bYgKeI7Mt255hyh1woqB/AELPosyuL1tO4wXqajtEIltTpHQcychiGKqQ2YWr0RaZ3SfDw0EuDC6JSnijaPZjiODgWRrFYAmR7FlQVU1AdrfNDK/4VVynmqXB1kXXjBRry6vsEI6tjekU6nag8K2SRWix8W0qFbY3O9StcLfiXKS0ICdmLvqZimFEKJ2o7XO3X1ctxtX57q0k0FJPV5dsV3p/Gs5rGdcKkSmVrjxE+dUri4JRRCfWQ/f3yModiHBJanCBa4pULz5/ahqvarwtwzpZc94qdy9vlQlYR0hpsAYpZRAVHz2J5CTHv+wAoLTyH04jWt0iBB6nLAO09FbHdZVoooAgLDiV83Zc/nb7G+h7QYARDGrQ/EAQJs6Y3VJKQIuCZIza+F76JAjg4HB9iqEoqBQVaICAKgq+QlVdyUAiBIKcInCop7KnequtE3srnSQFNC5cquqA0LJXtWKrv0xquO8RDDGqE68sAg/iDKdZLGeAULkgiYa1c18BwCDoyQD9a2IupJKnf1CymZfCStCr/aCIK0qLQyAUJM/0El45W8vy3bMkDfvuygFIqWAyFHgQtahAhcISK1j0dnN9n0/ojI8uwqutNdDuOQo5pVq21Ebu0HCkGe8iRgoaSVYgdB27lGV9Nm2EYrScLMZN/PbF1tV4BntKGK6z3yVXLZgBb/ANixswNN54CnlGLwX0nfvPc+8FMfAAo+DKDkIo6ChJFIhuhtG2TESIq9SgUWhdEJavp0qeGubO8YLLkAARKWqygoB44W3kQeXPV1qHUvOb7TvrUeOPIJGFzdQSj152hIGyhR4bsAA0/WPtvUojRliQpDnTttRQurSQqCOubqoyS3dEiJclmHjuY1YkVOO6ACCVnmhDwiiCI0GcaFzPuhWpP6xp5VUdBw56vWPWicc+o27v6JzJa39SuluXSwO1PVW5/Ymdu7wgfvndHNPWmVqTv6APc6GBmzOC4CqtJDociEuJEQpkBCnJWkpda2w9R7mpMqw50LrGNt+fMDAirEdlOgwI2Cyn3P9bxorKGEAAQUGgwiSC4jM5BkldSlnxTWQOK5XCwhc22G/mR0rNh7r8wn4paWNfV55oQMIWBSZxEhjPEKAoKus2Tn/wrI5K12VMMvIe2E/lr3mohJM/+d+fkDIdqiADXf3SwkhJJg9vuMbtwCBX5LqzyvGu9RqX8wDtsMtLTRjWdkSe1NWWAipmdJtiMyCZomqJFfkrEoiLDgDJTgyhfmRR8fw7Bo4iyp0L4WN2eo6RxLZ+J7JAqZAElGUuZNsZUR11gWLcJalVG0ih64Er2qfYyB8cWqJWczAfVeNlGEg4O43x4fkVOqFH0U5bp2w+5s+o+eVB3Lz/Vkc1ccHV3fWK8Xb99iVoAroMRdy70WsE6g22hczhrLUyUEJ08pMIuLwcWjdsZ4BKWi1co7PPz5gYHRxA1wRECgdZlSkKqNUEtrISUCWCoQSJKZve54b74CbF2DrsH3eCS7CJYdK1kDAip30KWmXF7rkMcGVoTPmYLyK1bELvFkez0lIlgYEyzYsehQWEktSly9lO7qqzux+cw4upE7Mc48PuOyVa1f80IDtaRHgH1ARa85RVhirx2v1YOYabsfCiKLgHLFTkkwogSxVQ2dsmb+UFBIENKIYbL/LYQJCKZJzmyhNiMAlEoFVagAu/3rMKAqbOOi6/GzMJRR3CW47pgut63zOcVHEmgq96LjTlIc13nece3gQ4Mb7Jva7RawHSASOa+8/4vjqGreBvIHCKHhs7tH27QD0K3Njfzb8JhTB8Mp2/z0/QjK5vAmpSGU7NAho5w5A6uTj2BjgohTt9xrK26i2h79LuMtdd9x3GWEVvgwsJE4oSwGCx9F2nCQ0cMR7EULWnWqXOXfnPBIeR1V+25K/b+UdSYUyF0gcDhXXdgD1IkJJUi0i6PntI9OzHwsujq5sN/IFREl1tg8AVVr3CfRKniskjKEw5VZubI9YBrFWrkAgH8Ct+12W2MHus3H8AHcBAEBqQocWGFhUXmiOXWrwLhpoD7tSnwYQMOdYaOS69neUFdrvxohznwFOgKqvQDB/oLuSJFhf7OQVuL/VuQOkub3gKKRe7caMGmVWlfapso79idJ5LkkxeozAwOoTZwAACvW7aTRWsWaAAuAKkVlolBYpFG0PTGMVZRnc/DwB+z24aCd2MUNbHEr4MkmhnVwDACJLqhayHV0TgUtNvKz9aF3fGafHtR1LXH9p6TvXUW3Hcb0li57FAkjPduiSvX5vDrFJoqG8pKIM7iOc1zbCtx1CNBk0gSb7bnVugUJJxLENITRth8xJNfdajgGlCJIrTkvtJeV4YODqOShlkpxIzTUAqnsrK1mXCKlMx0lLt7TQf2ipmlSiVlkKJ0vXqQluAALmtEK2BtqKW0LoAwLPJcUIILrq0O09fqcCgocNCFixVSDGLchc4hDAMboOELDijg0XeFLSP9bsfRaOm9oNMVQlg+a3hmOgFFqhiSJQmTC/IVBc6wyoAqhCWZoafMGgCMHo0lb3+3rEZPO5c5CUQUii6YgJUJYMlCiTO0Ch46A2+KmQEIYSOh9DCelwDTgLgEYeh+NqtWE+16a4gKCR7CmagMA17D4gcLgGGNN+WtHY77m73XHbRW1+FEAQmiyPajv8c57ErvSd67i2Y5kcLPca/jsMEYQFwrZciOYiwh7rcww0bIc7WZdt4AkHCNjz2TwB6cx/lIbz4uzYLgSUkCikwiCJAAmo3NhRRgAJiFI3J6JEGV3SHrfhgwIDw6vnIRWpEgil1FwDgKmkylWjK1ssFRQlKK3S+pUFQJ2EFcq0bCV/qLBC65vRL7Ujxt81qCJCwO2HPUJZYuO6jxsgWHbV8F4AASuUmu+mGiFlVzo7DRLaUZHiKHQLgJB25rolyvLaFwOoxnrOBQZJVNXK68vbOmHzmJxWJXdCEsSXzoImgSznR1jiS9o7oJOQdUWS2wZd5KS2SlIhVkCO+hso0/SMeJ4XS/TUkFBeAVB/89B2HrA3QA0IPEKiyAw6XjgGPnDsUiGqZexHX+x9WdvRGUY7opfgNM7Vd8/mWY9tN9xuuKHfUApRcu3dCR1LSRsIVMcSwzEg28f5i1L3XkrPdljiPddjbsafKgVKIaGUQjJgOinf2o7I6Io5tRAUwuhUKSnGT58Pv5MeORYYWHnmHBQIhKJVzoAoaQUIgDpfAACGlEFJhdR18zn115WYFV7zDkm3IvXF+3pLStrHxDFDaT9g3+A7DT7w0wIEixTxJG61ZY3Cg3gfC44tixKM0Yovorm/xwh3enp6xlVoe6B8zc+PSUuOAdVovrq8G/uTdW8CqbRujZ651H3vj6isPH0OXBH9jJanxM01AqrOhQAwoBRZ5hlQqaBC36Fr21HyWBblEHjno5SCEoLSTgyL3NQnldOwHctc47gT8FHkQfRWWLCAK7moXPAN6VuA2PMe5Xt2nS+wTTnnTg1IGJk5tPqNoxJSAILXeThSEUyeubD8vRk5FhhYe+4CSjCNQiylKFUQpcs1oGAB/WAYgZQSWRUKMElUbnmhLe3Jynb8SMpWXkFvdmeodMhsr49rIrc4iVGWQpcIdQ12t2yxta8/EzZYd9onyyr1InffMjG847oMj6jMx6YfBjpXa5ASpVCI/UxxoPrGC1uQNs7Zk0VeGs+RG9MTpqTNzSmQTsfCSLOcZTnHSNGaY0DZihtzmrJu+lVyrVuDxxAMbLx4oUogLHjt9RCFWQVGCqqs+7SPRzHm86L2CLDACivUAQ5w8gECFOZAmNekan0cZqWsQo3O+eI4QmnrkkO2wy9Z67MfHbq3FL159eNT8hwuYzuOK0ewHQtZGbvsRsNT17a/SgiUpUDsdrO0x9rQYtB2iNoOhGwE0KY0tyFv1/Pd1Wmz8mgRZFyASoVY1BwDFdNvZHIFSlrZjoJHACEPzjMQjQeILp2FMuheSWKajehwQcWZnGnXHY0ZRnGE+TQzJ7ATsnTavLpxGMft5+YDmBfdKBGyxtsCArdEyAMErUHlDJY41rkH3PUOBGJB9ckWTGJHGcxdclRAsMwqf9Fv3mWPwJHphxv7vCQcc3xZcsQDT6E9Y96sE/cAZORSYzdriJU7cVTGh9TuPX/ygQG5NqEsosi5gCwERjGrjpWZrLn4JYE0sT9hygqVIhg9d7n9fh5x2XjhIrj1JtryQpN3ZBuuWGMHSjAexFBSIZsW+rtY28ElVG4MrwvSrdF1bYct4TJMhY2xYI23G78F2oDAK4slDsCwC4nGsX0Tle+tCC0UFtmPZWzHaXkJlr3mMrLMfS1aTC0CXD30w+7x1tbHbkmy0t+2syw8mJxqAWoNLqsFiDsmq9+b3AE7z9ntgB7ThnCIJAxpXmIgCYgiVcK9zE2ogGivAOe0ShzUFUhnEI2P3s/kWGAAACYvXIY0ylw4vdetdwAwrgzzUYYRQ1oIzazUeLmyvUKTymRhBpREBKhEq3rhDsXr2geYLlG0QoedSh2SBxUyOI08AinRooE+6jmWvZ93O1TifZeSi9ozQGmY2hMw+wKepL591faA8Sm831Nqmuc0DUk6LwAFDONIxwOlarj5XJ3hQucNSEWw+tKV7nfwiMrmy5fAjdFybYeSxKxw9O+s7RiaCTorhOYm9hgelfS2WeMbzAfwqj+s2AoQXywg6MpuryYTpsME/rGLQgZL0Jv3yklj8stKiLf/WOc5JTvWJXbyXTK3y9r62AGBvR1uQ+HAABCo9wWq4oCaMdMjRVJStZh504xjSJs9e6ztIFR7BWx5bsEZlCIYv/hk+BkWyLHBwOrLT4Ibd59SBMLlSHZTA4SC4hKjmCErhR5YfgKWnfx96fgwjQYQ/u+7BgvnHayAGqXFxgXTUmpgMSBYEF9bijZzkTwM5ESnoMydyXzu8YuAgCdlKTS6r8BioDRIynD5mD3nccaaf53QOQqOtBSIqrJC2eAXV47XWPCasx9bm0cmDXkUZOX8GuLtNZRS5xtJ5RCXGQ+JFcWBSAERpUjtuy28d+wbUEAb6KBxpu3GU872znEZAoMwqz8lEVPSXEQ07u/kun9simIrj4HtWIpf4IjvunTAnLU7nV6YEImZ3WfDCf79drVLt9TlrlgeHlcKgaw0HkVA2w57G1J74uv+QLU+jV960GDgQ0+CyxrZc05NuEBB5NAxF6ozI1UmMGAUQikUtjzIL6MonXifdb3YeGx1t7Su/W10hHIyfEP8BNW+DkCgJCKikzYaSu1+ML/TlHd850BcJiMWePiV+rSAANBTrdEDBHzA6JyjLLkGcx0K2wACfvtRFwj4JUW2usTvYlfwesXouqJtrM8teysEUi4wjHQCkMoECDWti6XWFcoUlCRViW7B2bEV+lGQ1Q9ehVCkWkxYG2JpzZVd2FNA5VJ7FYXQfxsmRwBVnXYj98h+Q6nCeQWmhIv4NiJIbe58Xw8QVJOGVIgjitIHjZ5LuiVuaKNronGOP3ZGfXXDD7HtWHD/1QKi7xlFB7146Brm25RmfET2+5sx1ApJVEy1pGkHrO3wKlkqIOCWvFopba6SMy/ZHCPLkwEAXCJPCwgojAY6jKlyCZgpUElNX06oMutrMw9LitUPPNH9nnrk2GBg/cVLQBKjlDrZSQoKwa2RI5C5c3YFnTzFCDK3vFCa3s1Arbyy+WKb9Zde7a9VQN9YW6X2yoD0PgcQuB+QEMQUKPLC7OtAiEcBBAG0+Egq9Sko81J9CHqz+8P7pJQQXCD29d+WB4Y8AtWEIdsAw7Yt9euH3fajfgmhlLWSw5QGSVmtYjMuMBrFQCGrpFpQQKQApNaZsqSQwpYGMax+1zPhd/EYyNZHnoRUBLnQPCVSUpQlqwybW16oJDBQxIABG1c179qlNs+c/vBWKo53zz74PPHVSWQ7N8SVDg9BwhiE4JC9ja88ngJfOs7tnuPEC4qH1Xb0yFKexD7qcSBcAkgpCrOIIOioDAid289hCyWmtmyEGX/ugtf+XqoWdTmkgsq1RxGUYJREkLmoL0W1jihlADRnkIbzp2QJ1l46Xq7RscEAjSOMXnyyIhABrHdA75cCcMuoEkUQE4KpbVgUcu/ZWu2eRL/m73sGSlfsxx4XkCRhKLJ88eDrEhcQ9MQCT0WpH4Rin0J+QO+zuqunI4YG7PF5WgCSI+mqx++7ftcY6RpXPpeAuYeKI8PdZtx+XEhkXGAliqrmXfpccGhEUZUVcpNAuPLhxxcMnP3okyikzo2wlQVc1LFPKZolmBPoECN3czF829G5rcP9L0R3fPiItiMxhDB5VhzfdgBL6doDsR3L2JZlzvFuA4Fl7qMrNAi98Eti2r3AO4btID4QcH8fDIV3j+NpXiJmBAmljW6eitf2QjnzbykpVj5wFdRv2LakHBsMAMDKR5/X9y5YlUxoS4QA6GYKlm+AAGPGMM2KxjmqjGCgRl3eb/TJOgwx0JHYQYJNZ6yE6IkHSYzceCz6BlHn4DkNmtHqGidQSKuIfYqy6DenGRboOtZ9R10NV/qSgThHnuUAoZqhyzuu8/rWJRwirKq6Zi4JSO1Ydc7ljulZUUIJiTFjsCy8iivIUjMOArqsziYNcsFAxwOsvvD4lRVaOfuhK1DjISQ0CLCfuHSomGWBKj66MogArjCbe6542/zMShe1eSgnyXqOQjkhtpy5Z5Jwx5Yde7b/xEJAcALysnc9B8luX2Q7ljlHn5yGR6B3v/Em9oQk85xj4JcVLrp2z3mrsdSVS9RFXe5ua9gOjgmNoLhqJNa6ycdWZ6QJFay9cvxFxInAwNbHn60SgUrOQKmCFKSiSAQAmakq43clijA9yCGFhFtiUZUXWre+dJIMKel30QK1EXfde/Zj+YDAWY36gGAwSJDbD2oBQXCFaI5bRDPq/j8g74pSL/r7uMcc8d6WSnryf9OgiFbd4QHn2xQlByUEcZI0jm0otF925PYh6BtDVvxQVcUuaNzVTq6B8krbDtMSkdDkOTZjWGZ1aZAoNdmQ5eyQimD8keeP3GTkUZOtjz6NUlIIRVFw3QVVimZFgcw1KdNgGCGiBIeHWa1zbl6ANIyndlvuLCZc161rlF3KaRcQuKx1PgOlB/btGI/jCDSiyG2+UWgyaZXGBQDBkl37ThUQuBP7cW1H3zmOcW9LAYHqx6Fwrmc3Oko386LEYJC04/1dixR/TDj7SOEAU5ci3x13jdwB83tKqgojN59AKYVZVmBip2hDWFaVFVLdtlgKAkoUCh5BgWD94891v7cFciKLs/HhJ1DEQyhlEL5x84mc6nbGBNDJEbqd8cogghQS6bSowQAACFEnUFixhAyhfAATSmgnevS4/UJlPB4gSOIIJRft3uRdExKwGOW7/w/IqQKCZZD6SVYES97TsYBA4zeq+zfeN8nzshki8IGAFVt21OUC9rxLVZ2w36LYjiGf4MYmsglnwqEEs2mOFcNjULUtlpqLX8fH64ocXVYIrHzixe5385jI1ieeRSaYiRbSqvFZWbB6KHJU1OaTJMI0K3VfB+ZO2Ebvo2b5VUVjHmpxHGpiVTh8A+55LMd8R08BYoBfksTIXS+n611cJv+or0V6SE4LEADLexCX8RYsktMEAtVB/iIi8JtqcajBupSafXCQxDX1cJe9t7TlPji0yeGF56FqHCOa2yydeYPnhFU9TCrmQakgcoGJGdck0vwC1iugJKqEYyGpTsYdDrD+4avh97aEnAgM0DjCxsefR2HCBGVpSiAUIAvicK5r1+g4jkAIcJgV7VKKLnriUAigKw7YN5B6jrFKNTDENS2l7nQZmX1Z3pP8tlhJllLqRb85jRjeCRMFgVMoAeoDAoF7yIumq6/TmMgeIHCUYyqvkPd7qeC351alwDQrMTFgRXFVxf58HSlLrUOFYNj67hfC9/kYycVPPw9hcgakyzegAOmEC6ztWElizEoOWcomj4MFBL7tsHkc/pjuiun6nr7G9g7dqSYPZUKMHWXJvWP5BNwfywKCZUHBuykL7qNKMj4qEGjs7+FD8M5dmG9VLSTssaHjlez+Vl3jxl9EVOcJhLttpZpznuk8BxHAOHZsh0tBXOqFg+XqkIpg/MoLoC4oPqKc2Be59b0vVUlAUtXlUUoRKMdbp0oJooCJUWolZFOJCalLtqq7o2FAEDGdABQq5wmVCNl9faQRUmFg6jmLRltUB1GGJM+0y2ee9ic6doUcjJxoEj0thV9kuBbIQo/AgnfQSx8KBFdaeVHqmK1LNhIkqwokptrJPuA1IkUZWHE6Y9HPTi846tiYnqBmaQFF6pi3KqUTTkDFKVAWdc4NPb+N8ZNH7zj2qMnGU9sYXN5CIVll1MrSGD5bUQAAFFCFwgrTv8uENO/S88o4zG12W+Vd9DO+pQxniXdttzwEPiAw3iMiJRJGUBSBXCdgsX6GQIt/fM++hVVKfefo836697dIt09gO5Zq4ta37whEQ1YscBvEZi6xOu3biCq/yAkpWrEVIF3bQ5TEfq4Sl3osuzlHpcB0XmAyiEEIAYRZRNgUubxeRHBDNKQUsP7dL3W/gyXkxGBg+9MvQiiK3PCM84I5fAMEynrYJKByiZWIYWomW7eDWyMO67pagRrN+wPCBwRu7W6jLa1nuL3z2HBDzLRiZ3nAZQi0AUHuxDCFAGazbkAALI+O+6S1IpXNfx8HFPjH9V0jICcumVQy/N4a4aFAnwmlUBQcg6jOCA72gAiBDBcIAM24oQUCofP4yUAuF0ajN4HANC9BqU6c1R3HTI2w0ApNiOYXsE1GCsGw/pkPd76mx03OfvolcEmQC200S2PYCDEETIJUNdVDQUGUwqGdrAszATjhxgYgcPOMfEBgtzv149W4cbf70hgvzXE2jBiKeQ4lOwBtSAf8kMQJAAFwjJDjMnreZxeOe05HTh0ILKB2tvvzogSBQkIC782hJu4OK9ZhQuXzUYQ8Am5YsRqbHqW2zR0oJKY5x8owAqSqqcuprkASBTVUxLTqDZTLCNufebn7PS0hJwYDo/MbGD53BaVDo+pmBYvUqRnmCqs0QqkU5gUHlILKnAQgKzbe5+cQ+Cs1oAYEIUQXYiEzx1iKYnfyIIRgOIiRzbNuxeRc/+cCAVdmMyBNw8cCS03YSyv1CVbxC3+7jJLiFEIcy6D6Dq9MUXBILjD0+hLU8X4eBhlStmuEAb3KCwEB44nycwSq+J+Rimo402N7PyuwOkqAwqmqoUYnjJSlYQ6TFKWg2PzMh7rfxWMml77/JXBFUFRshEBeWLctQZm5SZwEK4iw71QaqdQmXDlhhTyg8zZ2G7GATeFtAMlFs2eBvy9QcTIaJpBKoZwvCBmGFijV/hMCgqOEDZaxHccBB8tcw8hSZELHsR2LCJ8AZFmOEWN65R06NuTmd6mHvX3K2hvfRkSss6ywWUmnFzQq5ZgXHKWUWBsPIFPZrB5wdEKHBwAhCQbPP4HhufXgsy4rp5KyvPH9H4ECQW7cfJaACDChaqdGcsIYCFc4sEqttEu11ZLUIXGpJFQiVO3rmrx7VuoBRsLhIEF2MAW99jbIbNY+RnDQf/5F0H/xJZDApE84B339DZCbN5czCh1y4uSgZZTshNd4IECgZ1+W5QC0IW7d13FKQ6UMf7NQgpDN/nWk4hZXCkJqdL/GosbYlnndkU/wmoq34AxsfQXrH3mq+74fM7n4qWcgVlcgFUFuVjhS1rYDkkA6nvdVFmM6KyCccaF4YIyFcghsKVdgeyffQN/49UiCLCDN/HLHrnN2TqQnAARmf5+nbmnv4wltx1L3cBL702c7lgAZ6TzHaNguKwyGivzzBoSEGGp7xlybY0fqsQxgPyvACNGVBC72KgDYJH2uFxAAkPEIW589+SLiVMDAuR/6MLjUHQyt28KWPVi3qAUElFGsRQz7B6aDoUVmeVkbTYvA8sJzAZE2yrL1wiH0ZbNMu/jlgRYgGDMgv7kDFBzk5m2Q6WHj5/T3vgrxjR2Ib90B/sXvNwAB4Rzk1g4wS0HevgHy7TeOR5hkz7dAmY6dZ7DEcYuu8a4DATe/oIOtMM0KMEZ0XwL3vvqAgMta2bieIaHx6YqLugSovr5TvmbuTbk1woTgMCuhSom1KKq8XrqSwJxCEIi8do8LSbD2mY889iWFvpz97AdRSopS0qqlcVlq2wGqoASBKvU4WR/FUELh4DBrniRzxoq1J+5iwrpx7WLCtymCtwFBF0WxKw4gSJIIjFLt8QTqcGSX/i0CBCcIN3aFDdy/l7Idx5S+6ywdFujb75N8hY7te+9CIMtLDEaD9v4+IBCgHgYs0RBv2winfNDNTXNbFFfnzurrHmQFVigFkai96qXWBZjyfZusX/AIQhGc/aGPhO/7CHIqlmflyW1Ezz5haoZ1MhQA8Kw+vS6LUAAB1pMEh7McPOdefXCJRhcya3StK9DtP9DgkzclHh3bARijbicXv+SIm7akHKP5DDwrdXtLLkBu3AbZ3QWkBP3GqxBfv1k/0zsHwK9/CeTuvRoITGtvAtndA3njzVMFBIv+7rxO6N/HuOaprCyWAQJ95zYrpywvMRzVXoEWEHAndimboLDqc6HLyqrJwB1nrkfAjid3TAKouo3lteITSrA/zTBQwIBqsiHFVaNG2OqGzaQXimLrh1/pfu7HVJ78/IeQ2YoCU2qoJEGRO51Qc0AJhWHCMIgY9g5ynW8UGZDFZQ0IXNvh8sAD1URQAYJGLhFvjgErofyjBgdFDQiGg7jONwL0tRZ5BxdNen2yxIRqdTWks+8GIOi7zonDAsByIKkLCJjcpLLk4Fw2PYo+EGhM4A4QqPY7c07jONoEAu6c447Japseu9YrwJXE4SzHGjXlyFSPfZHXlyhynZcnlc4zGj1/BZMntntf2zJyasuQ7R/5KDKTAFSUkc4QlgQ8rxXHGsO1QQxIYH/fQ/ju6qqxLZCl2xGHITxQZeAeA4RrejkHDg4wMpNJahG+VCA790C/9i2I3/52y70jb8+gfu33QX7/G8DBtH0/u3ugX/tGdx6BncD6XFAnXaXb6ywqY+o5F5ESJM8WK/KiioHjAgFbWeIoZJoVWqFtjXDoWNPYqps+NBCOAtorSCu+twpoM+EB2NvPsO4QIdmxD0A345E6A1jrCoFY38DGR58J3uPjLJe+51nE22tIhbYZjVCjBQSS6D4O0LbjIC910xbnnVtAQFqrM29MuIAgkAWu84+87X7PAl8MIBiOB0h99lSpFqw2l6iwOYWwQZcs7WFcIIvOcyphgUVAoO9dOnbHArbhINax/kUegWB+ETH5RYHqk6pU0DsmFPp2gAAAHGQlUCisD2rbYXuYANbjbpIgzTy7/kMfC9/7EeXUwMCFz7+CQkWQSocLbImhLGkd95O6oiCJGEZxhIO80E1H/PhJyHCHMoJlzwAJVR8AesCEFCzNQGZzDIYxCAEyt2Z45z4O/6tvIf1mUSeCVfcAzL6c4fp/fhfid6+FJ5DDGeg3XgUODsL3muemEiEwmJdB01hOGUmPUVl4/M4O6Ne+AbKz0++C65NFcb4+jwBvf/8sLzEcJCZeF7i2NSBd99uVXBg6xmYEt+7LrxmWmB9mOgHIxJH1xGVOX6Cqo+dcJw1KRbDxw58A6eln8TjLhc+/glxoNsJSskavE+G0NJaZwloSoRQSacmhCtnkdoAuy2p9u9B36/qeQHgxYZlRu0C1lBgx2vQMVPt6AIE5th9knzyPYNH+3kWAWmIxcgr30CnHKB1siGhOwmlWgBDNK0OKojuub791YPHYueAMzVN2u3/PwrcxCvuHGYYx0+3OZc1WCmi2UrezaSkZBI1w/vMf7X72I8ipWZ/R2TVMPv4Ccm4JiCIIqVssCtOWFKZMSKYC68MYe3kJpVTdhQzQbtdSNF8eM7XBWdl21biZv0ZqtOcZhqpUkTcVTAiQw6n2AjCG4TDG3CL8NEP2P99EPo2QHUTIrglt3I1k1zhu31jFLEtw7X8agf/Wm817t8+VZqDfeBXk7t3mi8vzGtFmeRMQhIDBAlnkDjyyu1BKkJ0dkHdu6rDJzdtNQLAkWFkqzte1LwQEsgKSS4xt3bgv1oBU3ATuirEeG0EWS1tX7J4rMytDt3NmwZs1wlKP5b2sAGMUK0kMmZpuY1QT6Nj6eSHruvqcM5z7wifDz/8dIFd//BWUiiCzZVJlVIUaRU4hDYWDUsCYR6AA9oyHRmVe/hAXTUBgY/+ZZ7wtQ5yrq04oqNe72OFNGiURVFk2ScusLPIQvFeAwNFjf8JfxpY0gMCiaxz13oDlgUCv16Z5fJoVGMURaOlVDtnfWbvR5U2s8ohoEyjY8kEfPNh5ywlX6VbcTe+UnJXYm+fYGCYaCMxVhXUlr9lKLf0/AIw+9jKGZ9e6388R5FSXIud+/FMoJa1oVYvckogQbQTN91JcYTOKIaTSbhHpAAKbkGUBgW/E/RcL1IBAyvbvu9x7LiA4nDYGxXg00IlAXKD8529ierPOOs0OIkxfV5CpQLlTYuf6Sk2lKije/I0x0n/0hpk8PFcRFyCvXwN5+7q+rgUC7v3O036X5BEBwXHAgXstcu0tkLffaRqNm7dBrr1V3/tJ3Xt9zypl0AjOZzmIkhgPHCpivz445GkIjYmKcCaQnOoCAXe7BQL2us4Y3jUKjVLWniRpyUI0QC7yqKLxTl58CivPnO9+R4+5bD1/HuOXnkCpKArjKSnKqG5pXNDKKBIJrJEYu6kB66YcC0AjSbD+Ng73iAUEIdpzP4fAAgK7MgzRFLv5JADGowSQCvPDQBWSPW4RIFhUBbMIECzQ58b+jsXGUl7GZRYsR70fX5ZNMj4CEACAdJZhkpBuJsoQ7bCTX9TaJ1WQnhxAcwFrE4ktEHDyWVTKsZ8VEEphc5RAZQpKWNtBGjpQGLBcCIpzX/hE9/s5opwqGLj0Ax+AWltHxvXNSknATRdDKZplQgNBMZQEu3OTGcEl1KxovFD90gKDrctd2zXpdPENcA4UZWsVMBkmSEsBeXcf2fX2YOIZw+5XY7z+B1sVjaoVISmuv7aOvb/3FtTtveB9kjeug/76bwdLEwEAWdZ9z8BSK/EjKXRI8hzkW6+C7N4PXp/s3gd5551u46akzpM4rnuvBwhAKqTTOQYRQxSi3wzF66z0cU90hae8c6l50WTA4wIq1YQ384IjKwU2o7hRUisL1G2KC93HQyqCjEfY/vHvCd/Td5Bc/alPopQ6iVApglLQajGhKy9qU7XBEmTzUgN2qfR/pbfC4wIqRP7iewiAOv+oNbEpnVMSEtfrZCSKGAZJhPks6z/uNADBSb0Ei/RumUl80TkW3UOX2OdbFFI8BhBQ6Rzp3d2K5rchRQmyf9B53WB+kZT1+PHF92QDekz6+Uil/vv+LMcoijAE011N7aOYZmaArrSxnD5idQ3bf+gD4ec/hpwqGKAxw9qPfgpCEWSFXk2XJYM0cT8lSCORal3GuH8/hTQvRtwrwN88cBL9TDKGnwQEmGSMwEAoyzCjVMfgAKVQqysN9+94mECVJdKixMr3rCKZND90WTK8eusM3jpcwTRP/DMi4xG++vp5vPH/KqB29pvX5RL8S9cx/ZVrkP/VPwUJ5RGYxjbHjjOeVKFnM9Df/Zcg124As44JPY5BDmftsAegwy73dkF2d0H2949//x1AgBQFZtN50ytgj+vMEVAV0ZQrxHoKQvcQGHdqbwa4pW1cQN6cQR7oc+zOczAFrEb1vcnclAUBkGVdFpQVMTAZ4+wpxfweZXn+pz+O+WCCUlGkJnzCBa1zjwSqJMLVJAIygrv35/UJJDTZkysiMPlboqjQ2OryyPV56rws8/Eo0SFGKbsBAdCv20B/MpwFQKFnqCbSE9gG97fLbDvqNaxud92/fb6+c/ddu+PdkjxD9tXXgOs7GMM7R1GC3LoD7O637UGvjQhst/kofiJqVrbyBDTpHiClwl5WYDNJGnlpItVjH9A5NDafJi0jnP+j3w0aAjXHlFPPWHryp78bGWITLtBGjxe0+u6qqDkHNuMY5QHH/d1UK3OhIA5lExBQqr0D1jBXNcOyCQgaJUUBQGDLPUId6CKmAUGsAcwopiCHc8yzEmR9jNXvXcHkbGlOQ/DO7joOeQQF4E42xG46qk5ZCIaDPIFSBDcOVvD1/1JBfPVGNcDlGztI39Bx5PmrHOLv/QbInTv1PUVRDQaqEpUOV1xIMRb9veg3h4egX/4KcGgMbZoDqTP5Uarfky2tub+vSy+tlCXI/fs6BAJo70DqGG1ggaFzninYXa6AkgLzNMd4GDffRaMFsVs6asNITQNTAQG31Meey44tp8RI7c2gDrKa6MYCgRmHKiWUUrh3mGGTaU5xQvWYtj06lETlKdMJQBRbf/iTYMM2oPxOlEs//nFkwnAOGA9BkUfVqkgWut8JIQSbcYI7tzPI1NoJAEI2AQEhpsqgzfTWAASe7XDHZpVTUnqZ4+5YcQDBeDTAzHo7Q4CgoyyxcX9WFk58HiDw/+2ffxnb4F83dPyiib7rbztR993zUTyJHfwj9X6HYnz/AOSbb2C+OwWREuN7e3W5eZpqIJBrzzS5v19fR/Bqwm/lF4VshwUCraqBUo9Fh/FQZVyDAwrsZQUkV9hk9eSuCj3mAUAKYkKL2ntWguHST52uR/HUwcDKpU2Mv+fD4IIiKyNwm1CY1q1JZa6N5CBimDCGO7fmkIdlhYjEoYR4q0n20wAEVqQ0pV6yHdMrTe24P2C63MERg1qdAHEMOsswohTzXF+PrI8x/J5trFwssbs3wd2sJqtQAPaKGLvpCIVgmBZJ1YAGAHbTIX7/H61BfOk65LdvI/2DZmggfUMg/y9+E/Ta200g4N9zX4xuWbfdgt+QnR3Q3/39GghUN5lrDwHQAAL6OKV5FnZ3dWjB/N8VcjitAcEiDgH//pz+8qQoACWRFxxSKUwsx0ClmIFnC4WPKNVjwwcINiHVjilHLBCopBCQtzUQ0NdRODzIUaYcW4MYINChAfMqlATKtO7uWfAIAgwXfvrT3e/jO0xe+rnvxh6PUQiGgjOTe6SNoC2t4qkGBJvDBJxL3L+dQ6XO97WAwG38YgGB3+o2MwlkAdtRAUFXuvoWSKknFiUxGSWQUtVVBQYQkND5gOYqvrPV8RKAoCtsoJawDV1/hyb/k4CLvns8bsWAywXQcX5yfw/k1WtAmmOWlxglEWhegNzd1VVkt+42y9fTHGQ2D/cZqBaiAdshRJ0rZrcRWgMB5xwVEDCye5hhDIqEUL2I4Hqs62dzgADXurH2fR/G6MJG9/s6hrwrtUxXf+7TOCxj3WWsiAxBAgEvSA0IjK5sDgc4yArsvSaQ369vRxwIqLvT5gDgMjyRh0IG1i0cGkBdme2UakAwGmA8jDFzsoJJEmHw8TO4cP4AlLSPvZ0N8M9ubeGwbE/mszLG3//7V/Br/++tBu+ClWKPYvqff1mvyLsmy5O6/uQCZRMc5O69znIrzDINCrokTXUOREfSHulK6LPS5S0wRsICAQDVyms8GvQnKErVUz4YQO8h4CAV1I3dJhAAoGYF5Kz+rSyAu3dmiAnBJNFMeTYkpj0CWgeUJFV98Oi7P4LxKZCFPC6y/uQWtj/9Iu4WCYQiSI0NEZIiT6O6y+OcYiQTxIzifpqjuC2g5k1A4OcaKd4xTjpyBYLlZvb3PY2Mxobidu7qitHNTtrj0Cq+cV6+OI+gT7eXyTHosh/WbvTuX2B7Fl5/wf33PX/I2+AIKQqQnXvVt5/npQ4vSoXsV74G9T98OTzhA+G5pmtsdOUNCNEEAoAemw4Q4KXE/mGGLcMtoDggnXmiyBmE1AmEuWEcPP+z3x983pPIuwIGzn3sKbAXnjaMYnWMVJa0Kq0iFAAl2DIu0mu3CX73m5eQ7zqA4F4BuXPYHGi2S1wDlZFgohdgy0C87YaCNOwhiKAuncfk8lmknDd40AFg/YdW8akX3sGQOR9TEXzzMMFbM4Lf3h1ht2i6fe+XMb52EOOf3h7jt755GTyr8xOUIihmDLu3xrjxf7sO8t//z/2AoEsqlNWhsKF/WzETo3z6Kahnnwi658ElsD8D9rwcB0qg1tegzp2DmkyAycTbT4HJBGo0Qqf0AiBVtxc1MktzDJMYjNFuIxKiCAW0UQ6VjVl3r9cwS76+A3Fz1oz1CQmfMzy9K3FvP8eZ0QBQgHLrg3NScQsUhU6uLSXDhX/lB8L3/h0sH/hj34fdIsK9fAAhSZWgm+cR0gM90fKM4uDOEBtkiN2sQJEqzF4TUFNnHBWBXCMug16f4DZKa++iL3ZCCAhTmilxOg8A5z5AAHTzjNj/hwBzw+vXFWdfIsegz7ZAtvgclj7HwhwAhU5A4T9zaH9nMqYCyXKgLKHObgJxBCEk0oJjwhgO//Et/MZvXsGXfmUN6q5j0ygB1leghoPWKStvYig8EcozyIt2AnzJ9di0whXu7Orqk81honFhWr8rnrG6q6mhLS+ffx5brzwVfu4TyLvGcvLUH/t+zHkEbtos8sL0LOCk7lUOnYG7NUxw/VBir2D4vVcNIDBGWdzLIW8c6CxMS10cAgQ2VuO2mDWTmqabDQwawdsUteb/k6cvA+fPYGqylJUFG5Rg/QfW8OnPvoNJpM/59jzBjlk43i+A39pNsGMSC/fLGF/eGyATgFDAr90Z4R987SqKmeFhnzPM5/q3XFDc/HtT4O/+qiYhqu7LmaC6FM7+3/cgLAIHdoVstqlLF5uAwAIB+28XEFACtbUJtbUF2wtcTSaAnfhNcmYnELDKHhKlDWeV+0EpYOJph9MMK6NB201nJcQMBtM7wu1N4K4A/KSyrIR8dQfybqYn98LsE7XRJZGukCl2gbvzAqIEzo6HkHNZU1jkpGq8wwvt+uaCInrxGWx811PhZ/8OliuffAqbH3kS76QJZmWMwtgQqQjmaYJ8WicXJtMNSK7ffTlnNSCo2qELzQ6plPOtpWGMtOPK9kYpmrbDSulVGzU45sPeg5VBjKkbavNizcGmNlYW8Yx0ueyr/X62u2r+uyteH/obaIKAPtsT+tt3/YfurQ/8dAEE+/8+IJA7FVlxDFzYxrTgUGmJ/V/J8dtfvwyhCO7lA+z/93v6XiIGbG3U9srtaFuUzQnftR1VnxInj8Rtp00NSUZe1kCAEoAryJRjZ5phazIEA4WYqWqhIYq6aVfJdWhxVsa4/POfDT/3CeVdAwNXfugDiJ68iFkZV7EOmxnMi2aZ4fZ4iIOCYC5y7JcRfu/VS+AWrElA3C8gr3tZ+VXGpkcOE2gvqS8qNCAIUY0GVorD0QDRmQ1MtzeAiDZdjJQgfmkD3/v9N0EAvDlrnjMTwO/sJvjqwRhfOxxg5oxZqYBvHTL8t9+4iru3ViogUN8mxfVfJZB/61d1iWFXnNEFAKH9y4QNPCBQHW4BgQsE3AfYnwEHh1DnzkKtrze/gQUEg4FJyuxIjltAHRpcQVEKLhSyrMDqpI3cAVSx2+ZxRH/7jnHRohvlEvLbdyAPnXFRyAYQ0ARaCsUuIAXB3TzHGovBnFMprse6flzdt0MpgpTHuPTHPxe+//cF3/VLn0EmCa7NR+CSahIiqfMHDqdD5JnhbVcR4vkEd2bamFSAYG75L5Q2vlnZnpRCxEDWdgTyjMLeJKdM0DlmdTJEOs/BQzTqAGweQS8g6HOLL8wPsvXpgfMvk2MQ+vey++32rhwA996OG/bkvLtigAsTrmwmiqvVCaaHKe78E45v3zsH4eR1/cvXL+ieMxtrUEm7k2GwrXkH4R2AFj05oUSPwUI0nl9lAvtpgVJInB0PdFjRAoFSl+XXOUYMXFLcu3AVT3/u9MoJG4/0rpzVyPYvfg6FYLg9nVSJQMoAApGTilRhMojx/IUpcqm5/ffLCDeurUHO68GgUmFW5wFA4EtX/Karb4EFBN7gWxkPccgSqOefBJkMW4fR9RgrEcdaoBNmKoD/7Pot/E+3MvgqoQEBxd959SJuH6y0DwYw/bYC/R9/S9e9hqQrHu4+06KwQl+cbjIGzm2GwUgcQW1tQPnJhFYohVpdDQMBKUHu3gV950anselrKTs1iYwr42FrXxAIwChzFxDwt0sFzDLIuTOuGAHdbIIPOeVI39ZA4LAskRUS4/laVSmjm4vYRjq0SgBKiwjJ80/izPe9HH7G9wXP/sALGD9/EfslxV6eaINoSqqUIsiLOi9nBSu4f8BwaPSaZxTiXgklXNtRovjyvWb/+K6VvRDhLqdC9IcMnH0rYz1WptO0u9QVPX0xgMU5QosScfvCEYti9KKHs2WZ/QtzALrfid6/oNqoKz+AC129FHg35Jtv4jf/do5bB+0cnVJSvPNrUXBiJ138NSGAEBpTUupx52xTBggoqXBnlmHEKEacVVVHUtRsg0UeYXc2hlQEbx6u4OVfene8AsC7DAae/bEP4+DiE7ibJ7g3G0PabmRSM7GJFBUguPpCjKcvvgOGAhRAKRh23xhWgIAMKKAUVAvlyzbyB8Irvi6q0UaXuvr3K5MBZmkOORhAvXgVZGu1PqYQeOfXY0gAn9pK8eSkvr5UwFf2D3Fd/gG+qH4dv7G7i8Ibv7kA9grgH7yzjm/vbkI6SHVlNcfkSYB/6x7UP/h1kHu7zYP7XG/u9r44YZeLXUpdEZBmUFubwIWtJiAYJVAvPgVsbYLkOVD4jVkkOpE95yA3b+mEnsMZyL37zfvrMrj2vIJjOk2RxBGSJGru62hN3KAOdZ8/5EHioqqaIEOT18EI2NkRsDIATHthOeWYviqrzoN3ZjmywxUUsw3drlsoPbYVAcyYl5LoChse4fKf+JHwM74vlfyhv/QDOOQEe0UCbrwCVtx/r0QJIAd4a09WHm0lAbmbV4BATTnSWxT5lxxAYNkKQ2VgIUBgWx2HcpCARg5SkkRIYpM3IOW7AwiA7klzKe/BgpW7/++j7F/q2h33vWTHUl9IURqSs0BY4de+hN/8v+R4a8YQ0UHD1hIAEVV4fXcD5a9+tXFc1YjIZ7XtAgIVk6VDOxwAAsj1sTkXOEgLbLOBrqSjGgjwtGbwfe3uJgBgZz7C/OJFPP+jH+p+PyeUdxUMEErw1C/9MOac4duHExymgwoQKAlU3cikwtZkiNUrCk9ffgOTiCOJOPIiqgABGUe6RlM6gKCKa0sgK+ptfbFgoAYEocFclNWAXJ0MoZTCbF4AoxHU81dBzm0AAA5+Y4q37q8DAIZM4CPrKZ6aKFAA12clvobfgYKEVByvqt/Br+/fhKVRzwQqb8FBCfx3N8b4+t0tSEWwsppj9VkJEpv60nsZ1H/3LzS5TxfiPlKcsOMcpp8D2dtrGEK1tVl7CCZDqOev1jkBgHbJWUAQSnKy/7ZAwKnhJbt7uoTHVAR0MiJyXiHuw2mGVddLw3l4Jdf1jbtyS7gADlMdFqEEdDWpgcBYezhIRCGnHLPXJIRpI5plCm/dYRhizVQLoOoypiQcIMCQ8QiDl546Vdawx1Ve+MEXsPqBy9gvGTKTONUlZ5IR7qYCu4cRCAFoogGZBQTiUOtzdoc1AQGgjbrXkrra7ncgBNqAwOcNMONqZTLE4cwkEtkEs07X9gJAcBTyMf/fXTH3av8pTP7uv/vylY56r670VQxkeRsImPPJf/jb+P/97XVcmzEoAEM6qEIEjChE1HjyQPDVXz8Dcv12Ewj4UvAaCDTyUAqvz4EHBKpW53V1wZ3DFLQENiLdeVWXE2ogwDnF9ftryATDQRHj9dkIr/z5HwQNeWpPSd5VMAAAH/yxD2D21BPIJMGrB2vI8hiCU/CsCQioAs6MB8i2U3z0uetIIoOeDCDwB50KUD0iKwKIrSOUIHuoRk0Z3HAQg1FaK3UUQT37JMhogNfe3G5wWDEi8eH1Oa5MFL4ovwSh6mxiBYlr8l/iHx9+DfuFaoUNSgX8s9tDfOPuFlaeEBUQqG71Xgb5939D9wPoEgsUuhRWSA07u4xOlmmPQGBiVVsbwIUtqBefbgABK5WHoOt95jnom9dA9j3uCClBbu2AZHkYCFhwYb6pEBLzrKjcsL3NRLoMbKjqRBgg4Mo4aQABAFC5BgK2GoRzildvUeRlgvV4CEalLgkyQMBmAitJkJlWxVd++Y+E39H70pIf/Ss/hLdTTc6U8jgICKQiWI8HoAS4NSsxPRzopmgwgOBeDr5fj4PsDkP+u/egZpl7Em3MfTuhZBgQKLnQQ7A6GWCeFhBuFUpPWSLhfPnEQl+WWW337V/k1l92f5+X4iRejL5EwTRt8ZoAAPIC2f/91/FP/5tzyARDKgpQQjCgMTJJIRRpRUD38gT5P3tTf9sQ8MiK4MIyFG7yPQLwgICQEnf3U2zGCahZ5OreJQAkwds7G7iXD1BIimuzEVZevoyXf/TdXUS862AAAL7/r3wON1KG/ZLhy3fOQAiKsqzbkypBIFKF86MhpFKYnc1x7tkZmEFtZcnAb+Z1ZjAAlBzq9kEzEcgmt/n18BaZt5CqCieHADq/oORYWxnhYOpNFOtjfPBjOxiy5nGlpLiXE3wE34UR3WzsI6C4JK+glAoioFiEAK/NBviD3zrb6IpY7Y8IyNffALl1q32v9hkXJQx2KDTZvQf6pa+AvH0jrHh2sGdhngEV6g9gRXCQw8OqEqAhls1wOg18G/M8zrex32FtZWQ8OOG63qBHoGsM2MoU93kKrrcNnXueFyivpQ0g8OadVbw1FdhMRhgw4PyFOr9DlASlKSec5zG4pEg++kFsfuyZ0Ft6XwLy7Pc9jYuffg538gG41H0crFBaf9+IEmzFI9wrUkwzivvfTurcDa6qcI6VvbcH+N3/IoF47W69sRDgX74B9dad5tip8onaHqbOXBTBsWbCWC3bYQFBSFc57+C/N5NtT7ihN85u9/ftW0h/3DNZL+JBWJjf0MchIMJgpGcxR2Zz8L//O3jj61vITRO5ucgxZgOkguLLezG+fjhonJJA4anNfbDNCJh6jaakCucjWTsRWqi627iEyrn2DBjZuTeH4ArnxyMNBFJUlQNFznBQJrpkfZpgKig+9W+8+wnHDwQMPPd9T+PiZ57HbkFxN4/wtZ0zkIJCFLQi4VEcYCXBmeEAO9MUdIvh7DMaEESmpl9cn2ryF6XqF3znsAYEStbu3plHoWsRXEfJWRc5zdogwmyWgRulJ3d3gazE8LOX8fE/uoe1pKYp/uZ0iL1C4epKgj+UfBJjdqY61UX6Ep4a6WTBTCiUzsBIKPDEWGFAFX7v/hq++OsXwHfr+6FrMciZCRSXIL//Ksgbb4ZdbH3oP/RvaCBAvvqaBlD7M0PQwavfktlcr+i50M9+OG0cr5LYdPQKAJg812EBLqBGQ8Cl3aUUGA2BiLXjfXY14H2Tg2mGYRwhQYdxEqK7hNQCGjd3oOQ1ELDdwwoOzHLt+jPfSN2boXhtClkChCpwTvH23Q28OSuhQHB+MMTly3sYrOt74rnuMgZozxYXDCUiPPEX/mj73t6XXvnTf/sXcLNIUJhuqJZ3gDHZAARnB9pjdTfPcDAd4v6rGhAoripudyvT+QBvzUb4jX+wXQECNcsg9gWKr+1DvblTG3NC68mgMXvUZcshQJBEFEMKHBzMW/sqcquQXspFlQYhkiRHb/r0v4unwP13aH9XdVKf29/+3dfZ1D0+dGwPmRixz0Jog7WV7O5h+p/+Hq5/cYJRUuLsIIdQEpksIeQYv78f4V6u8OYUuGvKv2Mi8eyZPVz+uP5W6roDErmov73frtizHbXH2vl2hdDdTB0Rc47b+3OcGQ0RE5s7Z0rpc4Yij1BKgm+YSrQnPvsCnv7ep8Pv4hTlgYABAPjx/83ncLtkSAXBa9MhvnVnS3cjK4yHQAJKAOeiAYRSuDPPEG1HGhBEeqCoQkLcSjUgMO4WVYoaEFRlG1KDgcN521VTOGUpLnd1ByBYHw8AIbRSpylwb79CiOy5bXzkjxzi4soMN9IBvn1Yn29zQPGZ+OPYZFexyi7gg/EVMJfPxgACAuDcEBiy+j6/sj/BP/0XV1HeFSDjCOTMpOK0VgUHvv4m6LdeDQOARQrqbCO790C+/nqTnMUCAgMEMHPeoVQaEMyM0gwGHsVrfS2Spho4ONvUZKxreSOmgYDrp0uzeuXe0VRq/2CG9VGyHBCoYr8B9A7oZ3bzBiipgYDzvOreDMVbGZTpIiYFwdt3N7CbM+yVc2wnAzx55QCDDQnIGggoSVAUuka+EAwbP/59WHnmQvu+35eFcvUnP44Zj5ALHTLIS81qyphExCQoAWJGsD0Y4n45h1CyAQh8OTR04nfzRAOCb9yB2s+qFWjxrUOo1241PUZSaTdxYOIngc6nALC+MsD+/qxbBzubajmAIAQKFtGT+23R/f1dx4b2d9mWRcBjUb5CHzAJLAT0ftUEyXFLJwAAWe1JREFUAlYY0xTj197B4d/6Cu7cqCu0tidzSMxxUFJ883CMPTMehAK+NY1AoPDBqzu4+IkMJDYJwrdnOpHYbW/tigsEnHtrAAFKaiDg2pNUYGc/hZDaE26BgJIaCJQlRVFG+PrhEG/PFEYDik//1c+338W7IKfX8miBnHvuLL73j38cv/63fgOXxgpfPYiwemeI89uHwBQYEAE21C9tyBmu7R5iEkegawTD51KkUgFW397mYNtOqVfBgawE2Rjpmk4rqQktrHmseFkBJFHVmMg5ERShre1EKty+fR+jEQVSL250eQ2XfmKK7P/JkXkDeCUGPj94DpMIuJVycG9MSQ58wDgP/GqDN+fAP//iNr77qQOQUM7D198CwKAuXWzvs+KsgudpjiwraprULAX9g2+FXf/3DoHhEDictRWBEuDOLmQyAEQ4bEB4aY4NGIvBCKTIw7kJpdAgISDpPMPh/hznVkaYp14ctyxBQjG+sgzni+SB1VxWQN2fNp5X7XMUb2eokkMocHtvhNspsFvsQ6kCL15WkCsS8xIQGUE+BwCJImeY5RJCAofxCC//0h8OPtf7sli+8O9/AX/3134PfF5AQiBiEiqXGMT6G5YQKATFJIqwU2a4lR9gK54g3WeYvcYwHDfHwF6hkBs+9HdSgn/0K2fwqZduaEBnZP71PSRFCfL8pebNdNoOAFGhy23tn4zhcDrHvZ09jCYjzVcSkoi1WT+BmsgrVL4LGMDbtZ7Lw2W//vkXiLYbZZNeeZH0hSsW7u8JZ/Z4P8mtHdz7z97A4XSAeqLQlSd3c45vTylGtDkO7mUEq4MDsGc53EpiIgnYvUNgJUCWlgby0koe8AhwqLlj47iCnJYQpcS1/SnWaIxsXwHQ5yqmDHkmAaXwrd0hXj0oERHg47/4SWw9dQYPQh4YGACAH/3LP4h/8l//D7g13QcFEN3L8Qw7AGMKLJWIRxKIgEJKvJVOcZCX2JoMdf2HUDULHCWgyoABpXRqPiWguZPVbmWUAMMDXRbmKhwlehtlrVp6RZuup537h9h/awfzq+dA9lPtcXAmH3V3ipc/9DamX76A37w3gDSDghKCz5+d4YntPfz22xfwxXsU0qQPEhC8uA5cmOzhbjrCO2nSSEhciyTy+B5+738sMHouBtl0BiYlIKtj4FvXoW7tQU1WArS7DkIlFFlW4I23dgBoLwSZzkBmOXB3rzm4GYO6cAZqykH2Mx0icCZDDAZQmxRqfqMqtWu+PAkipE4odCd8QjSCjyIdG5033acqjjQvQShbVgjc253i7u4hkoiC3nF+Y5vA+M8uRZMkyNybTg71fm9WAGqa1aGBUkAdluAH5t0QIFpluDUVeHue406xixfPZ7jBYty4D4ADZUohSgohCLIsBhcUaRnjo//rn0Wy4QHS92VpIYTgiX/ts/jif/R3cKvgmMQcg1RglJRgkQRlElkWQwiKFBlexy7uz84DIBgUHGNRwDY6UorgTilwvxwhFRRSAQMmsbJziEHKQe0agxLEuxLktZtA7E3WFPVY9oVRKKZtipQK127sYpYWOLMx0baGdeTXRBSdEzslUF7OjQW/itBOPdQ/pG2g4e4L6ZutQGLMsRsKQxvmE2Lxsfb8/nW79gGAkM3ncp+3qwU9AHLjNtRbd1AMZrh3e1yVngpJcGs6we/uHaLAGDmv3f9DRvDkSOCreyn4jfsgibkeA9gTG8DeDNh1cgeUBEoT3nFvQxj+G6Ga2zLnfoWCuK/npvtFgZ39FNvpBu4NDhENJXhBMD8YgEUSeR7jd3YT7PE5XnpqHZ/513+w+YqEAOsaQyeUBwoGhitD/Jn/4Bfxj/7q/wfbA4mVSOJqwjAcFogSCZZIREMFkgBb8wSHkuOFzVWwWD+8khoQkIiAXRzrk3IJJRRITEG2jHvIJrxQqtGdbUMbM4dy2AzkqiWvBwgIrRD7lXMbeO2tO7h6cQvjpy+AzKbAzh6gJNRhBnkogefG+OBTBZ7/J1v4xzdHKKXCK5sKn3/5AJSt4uWzMzz3jSfwqzcjCABXJgQ/eeUeBvEanl8lOMiG+NrBCkpJEFOFT1+4g/X1CYAJ6G2JtXMJyNmJBgIbK8DWWvUsajiAOrvtUKV6kx2lmJu8ihevnsGkKIBtzZlA5nPg5l09yOMI6vmrUKtr5sAnQO7eBdnd03+OhlDnz9bXpQZMWXGCs0RKHU6wjG5JVLnzdBgn1R4CACoZNPMJXDHEQK8CuHhmFc8+cdZ8ID2xtzwCVXavrP+276QUze1SAbymDVWHKVAKqBnXpCAjBR5zjWPWGMiQYeXNBGlG8fQ5iVeubmIwYIDUQEAyzRqWZzEKyjArYkQfeg4v/0xToZVSICRgSN+XTvn0L34WN/7hVxG/9gbGEcfGMMcoLjGMBeIBB11TmM0TEDbEjeFtbBMBdrCNJBKYrNf5QyJnmGSreGJEcVjEuF8kOJMUeGmzAKhCPFCIJgp0SBC/dAFIDEBNWHsCtOPan9goNYRcBMMkhlQKzz9pxi2Lju4hsOd0Y+Nu+M22da/AhGwuBkC7bQPQBDXeynteCgAELz53STcGa4TinPMC4UTAxnUD9+Xcb+uZ7LP2NDEjb16HnOfA1iqwsYIDWWLv/ghcUHxzdxNTrrARUzw52sLtdIhSKpwdEnxovcSQSgAbuHwArL0E0HEE+sw2sDZ23ocBN7Y1tsvRUnINBKrfqYqGWElAd9AUEHsl5HgIDIGv7+xjtVzDmWQT6+sZQBX20xHYqj78TjlBQtbwvWcUPv/v/hxGq03vxLtpNx4oGACAV37iu/D1/+9XIb74TUApRGqASFAMSYmISRCuEMUKT62t4uv393AwzXHp7Grt/h8CikuwxJnACwEMI5CB47qTSivd2EtaY0wrsCuUhAEB1YBgNFzFzbv7KEqO7c0VYLQFMhkDt+5CvnMAZc+XAD/yY3fx0m+P8Q+vXcD/4qVrGA7Mvgj4kQ/dxKXxefzqrVV84eIBNoYEgL7n8QrHiGX45sEKPrZ9H2c3OQg1xyqAf11iNcrAnj8HXDjjufgk1PQA6tzZ3nc/ZAqTosDYfU+jBGSYAHfvQz37JNTaWvOgJy+DxAyEC6jtrdZqSNl3KgT84UQGsc6ziBwgUF13ABwc6vceoAAFoD0LBOBElxVevriF8SipgQALeEPKEiDe9y249sYRAGD1b/MCUPVqTXEBNU8hObRhBiDHBGw9AiJ9rVEMnDtzC5cvDLBhmpnwkiKOdIVBJmIQRlEWAzCa4IW/+nMgnjv2fSBwdCGE4Af+vZ/GP/lj/ynGyCEFw3CQ6sZAJEcyEBhHEkU+BJtMcK/I8fzFFMXBECNnzArBMKQJQIER0zpxZigwTsy44ECUKoyuxGAro+aYjRkQ+7ajCxAQqIjhwvYq3r69hyRmiGzVjV1odLB3dnoP/MnXkRoQGHFX0U6flk7pAgvzHMNhjPFooN9RwrqP8/c1blC278m5106OESkBX88BHRr8/dcgb+1XugoAw5cVDn9jiK/e38TdMgJXB0hogjPxCggoGAFeWi0wYgzWFuze28al7Rnos+cBn2m25EChgKFjo7gA8hKKEMDaUqmAtIACrcCeSjn4/RJKMCAGbk5TpLdiPBGdwSiiGJIYB/tDDAgFgcJeOoRUMbYHMT70/U/hhR/9cOux6RKhnePKA0sgdOUL/94XUCa6NvggG+gWpVkEKbQbr5xTxCXF2fEQt/YzpLcLyNxZdQ5Zc2AlrGYUs2KbGjUSCGWYeU5KXavquaGI1OVDREpsrI5x38kMVqMhcG5LlwK4x8QUT/6hDH/hz93A2pVmbJsy4JUP3MK/+8vX8OTWfuu9rI8yfP75t3Hx0j4Ibd6LLCnK67kelIEBQfJcJ+11CecgadZ6RgBQqxOol55tAwG7/9xZqAvngm5RIiVIRwc3bSjjNhCwMhmHgYCUDTbIvcMUCsDG6qgqHQyGBvK8bcwsE2UjEUq1O4pJBWS8SUMMNIAApEJx5i5GGxwXxhqxW8phKYA8iyAkRVZEyDnD9s/+EFZf8GLO78ux5dxLF/DUL3wGU85wWMaYFQmEJEizBFIQUKYwHJc4b7gw7pEZ1s5nDecVZQqJKQmmRGEtKXFmvVlKxgsCElq9u4QzVqTsIDbTtNobowGUUthzeSxsuKorAc9nTnX3dZXTSacBUqg0sY9CeFELZSEWlP91EALZ9uKhlvFVMmAH2RjnIDt3wqXOeQ7yxtsaCPg2e6xt1F1DWT0XGcZsCEoJXtnI8bGNDCPWvN4oLkGvbLaBQKDsWM8VpW6c5z5LXkK53QiVgrhXQFmiuZnCq9+SmMg1JFTbif39EaSkmBUx7s3GKKXuRXB5k+C7/rc/2X7ud1neEzCwfnkDH/1Ln4NUwJ10iJIzCEFRpAYQSGB2J8ZZOQRRBG/ezHD9ixPw+/WHUTlvGfMw0UPRHohuSVlje7hMiHCOzckAWcGRObwGajIG/e6XQC8248HsmTMgP/wxDH/mwxiera9NiML4E6ugP/V9uPQXr+Ds+WaZ3sZaivUXBMaXFaJhc8AONziG33NOUy8fenWwlEBtrms3Ykh5jItODYZtFyUlml0xSboVGuhOYjJuRV+hCed6cuYiaCj7Mql9Wuj7B3OsjgeICMKlg10NQwrebmMbGhN27FBSe6CkasYBpcLsIMe9MseFyRgRpToLWBFIARRpBM4ZSs6QljGiJy7iyT/9YLKAv5Pk+/7y50Aun4dQBNMirtq6pqkGBACgsggXhmPcTTMUjCPZkGCRydWJJM5uTTFONFBnVGK4UiJKXD0FyCRudje0EhxTshMoJARYi1kTDADopMS2bvpQXbuNuZeBlssGKHTW3lsd9e/RbTEcBAuyJiwL2QeXByDQsZAEbEN1T11kSGkK8s5NYHcf8InK0gzkjetAmoNMmqFFNefgtwtceWof5wYchSzBFcdaNMQH12Z4YWMfG0m9QCMAPnr5Np75gTnU3E9KDlUMyPaYkHVooH4nsm6WBSDfo/jnXxlgng1xdjAxP9G2Y5oneHV/FVwSCEWRCoYX//UfxfqljeA7ezflPQEDAPDKL34KZz/5DA45Q1pEKDmDFEQzEypACIrZnRG2+Qj3shz35sA7X12tAYFUUGnp9YYW2qi3UFugr3SoDXKX5wDA+jACk6LhHQCMh+CV50GfWAMoQFYiqJef0jG+7S0kP/khjJ7QQGB0lQKf/ohO0nvmKtb/3EcqQDAZFVh7husvEhGMLirEI30f0VBi9NE17VoHdAKjAwjU6oqe6O3zuoDA1gkDAIXuKGjdahYI2BV/h0JXf4b6eDtilZ5U9MFmv7sK8oGAX27kVRkIIXE4y7AxisOGrizDK/+Qca762buEIOExo4SqSUKkgkwFru/PMYwYzg4HVeKwFDXToK2DLxDj6l//OVA/HPW+nIr89H/7F5GTCKmheC54BCF10qYUmsVtQ44QK4Z3pnMQRhCvqwoQsFjizNYcKwM9ARDjRY8SpfNDYqXDi1zo7HHfnnDRAQhCnPUSG6MBDvemEGWYoKizqZALCOz/q4m7m9HP1xN3Mg4Cgsb9uKtbz7XvL6r6PA2e6z+4WOgCAjduV8RxZHdPlx0rCUynINfeqVoGk/VxlTypphz8nrbn0YrCx8/fQS5SjBnwiU2Oiysz7QkaFGBEYcgkPvnUTZz7NAEZMqj9tP6mtuzYsxPBsRACAll9bL5H8dXX13A7L3FuMAFFTa09zRN85X7tjS0lQfKR5/HSz34q/F7fZXnPwAAAfN+//1NQ45HpW85QlhGE0FTFhCooRTCYryEWMXaKKdIiwjtfXYW4V8JmuKuchwGBP4jLMgwIQp3L7ATjCCEEG+MB7u8etBFyHAOvPA/20jnQD14BBnXZo9reQvQzn8LkoyNEn/tAo3ROndvG+l/8KK5+aoqtpzOQxImNRQTDSwSjLY7VT45Bzq42r2kAgVqd6AneFddYBNr5qslEu+ddIOBKTwtS1RVbtECgKMLueiEc8p/wqiZkFPcOZlCcY2slUHIYXFmZbx0CAv63DgABZYBA9TeXkKnA/rzAYVrgYjKGST7QbUYz7dXiXLcZLSXF2V/4Eax/8Mn2/b4vpyZP/bHvRyEpCsmQG4+MUgYQlBSEEJxnK9iblthP8xYgIFRhc3OO1WFdMkeoBgLRqqoz9O1q0LUHFmyGWhT7fe8BbK6NoLjA/u5BUKcqQBCa3F2A4ds02+o4wAdATJVNaFVeAYKQ+x4wGfNh/a/2dfEABICAe11iwUqIv2D/AOT6rSbQMtwm5N4eyJs3mu+cEpD1EeReAX6vqdvnn5pie7CPj22WODupvTIxEzg3yvA9H7+Oze9h9QwopLaplpbaffayDHsE0iLsETDHlnsKr187g7fTFAPCsJUMTJ4hwbzQQGAuKMZMQiiCfLSCT/0ffrr9Xh+QvKdgYOXiBj7x1/8IbqUj5DzCPI8hJYEQmrQFMJMwNnFQcuyXGdIiwvU/WEX+Zl3/rXJeZ3sCxmuQt0lDQh6CKvvcG/hctFaRm2tjZGmO/HDeVgZCoZ59Qmfb+zIYgHzu41DntluTs9raRPTzn0by0e0mRwIAEhOMfuwpkA9fDScAjQfBXgH2uUjouZx7CgIBG8fr5fzviC0eToG9/W6jFuJ5B6qKgZYIgb17+1gdxIhdyuPqW3YAgda3DHgECt4GjbxpAFWhIFNdrfLO4RwTEmMt0q5JxQnKuQYCglNNOSwo1HPP4ck/+cPh53xfTk1e+Qs/jPHLV3BYRhCKYlYk+v0rgjyLoATBepJgrAZ4+/5cV3AwgmRDIV4xbKJUYXN7jnjsrGApwEaBXKMiEIriUq9gu2yH0fU4YpgME9zfm9WMhV0LkJC+dtEeV7kAHaHBHppgYkIKnZN2qPmX3R/K2XGO6+754oAXXwTXPU5CICMvgJ3d9j7GQK5sV3kCrsjzBB/67lu4OGna1M31OT78hQMMnvOy9Ecmt8mfH0rjfXYrHbjUQMC1FbmuQKoO2ylx/fUN7OQcc1Hgg1sMSaQXuEJSvHawgrmgWIkkhkyglBTP/Fs/jbWL6+3nf0DynoIBAHjqC9+F8z/2Mbw9nSDnkU4GMkDA0o1uDiKM6RDXU80ulpURbn3bAwRCNgEBDImNH/cpzaQUTCgLxO8cBV2bDMAoxe7erJvC2HKZh8Sufn1XfBQBn3gZ7PmtRoY8e24L6uVnoC6dB85uNM+1PtHgAm0XHFBP2pqoo7misOQdIaV1iT2Wdu0BwGwOcnCgkxR9o2lXSyGvgO0O5nswhIDIchwcZthccxTXLx20EgBvkFJ/69b9cD02XMma21ShoAoFQoGbB3Okc45LhvK2AgKSQEqCrIh14mC8guf/9z8P2ter4X05Nfmhv/PnUAzH2C907wcLyDhnyFMNCC6NxkjnEjd2DZMmJYg3SAUIAF18QmMnZyChOiHMHyOFCHsD/I51APzEwq21MQ7mGbhlK3T10v1/Vz0970jikzKclwPUHj7/OEfHfT0nFkR02QdrAzwgQbxztvWTN3kG/PvkQjOUro7b+6XUuU5ulQVjwNkNqPVVsO96AsQm+VKC+PIQe5fXkby0jSfOGOBHFLbPzHDmRydgT22B2CovSkDWhyAXNtpVZnnR9DrDzCl5056onNccONBA4OB6gv0swt1iH0+vc1y9wPXnlRTTIsGMM4yZxPmhHk+TH/kUnvuxD7Wf/QHKew4GAOATf/3Hwa6cw9vTCdIiQl5EkJKAUFWRilwZT8AlwfW5dvkISXDr26uYfTXXvaChAUGD9QmGPCYz29z2pKHudS5FrRVbacAFKKXYXBvh3v7crKB5OHGtam4SiIu7yuu64qII+MQHEH3ySRBGwM4OgY+9VJGGqAtngSvn9DOsDKGevFQ3/wkptHO9ChBIR2kDv/X3uecNuvas7O2D7NWZvcTyC4TiqPZ9dSVJmd8QzrG7p/MitmzdLxc9FQMBg5c517a9B7K2kVfzUoNJ+7cBAgCQlhw3d1Oci4YY0Qiy0EBAKUBwiryIUHCGtIzw5F/5WYyvbLef53151+RDf+0nkQldXVAIhrzUFNBSEuRphIFKcG44ws39DNPDeozEGwSDdVE73GgNCMjITDrWe+RK5WWSzfK4rkoD00l1ywDa3QNtv6oVdCjL3vUQ+KGBLqph2+/Air/gcHsEBFz0VUghEG6wErIBjeNCrn+gBgKhexOOV5BSXdHklm+657Qge5AAF7Y1HTqlUNubiC5revPkuRWQF85jNy2wtbGKrY9TMKpw6ekDbPz4Joit2x9r/giyOdZt6d08KimDXmSVly1vs0rLGghwhfytEtN3YihJcLc8xPn1A3zkaQIpCAoeYVbEmHOGmKoKCKgrF/HRv/ZH8V7LQwEGovEA3/c3/xWU8QBvTVeQlxoQ8EJ/IMoUNoYSZ5MV3Cty3DdlhkIS3L6xiulXHOVRSgMCV4mE1NmijW1CTxYhQNBVaVCWOLM6RlFy3dbYuNSDpUAV213IvSfDrkJKoZ5/CtH3Pg36vS83cg9AKNTWJtSTF6EuX2h3AbRxwg7ObyINu1doX9dxdn8RyF62z7G3ryf/xnalt4Vi91LVnoLQOyvLqkTq3v4c6ytDRJQG8zgAdGd3+y2updJjoNFS1oBH5br7JGSuoBQgpcIbO1PEiuLCZASR1wmuRc5MEyJdGrTxE5/Buc+90r6/9+Vdlad/7CM495PfjVxQ7BdJ1bsgL6LqO52Nx0gIw7X9OcS8/v5slSDZkEFAUAmXUKk3/rkMU1qHxiIAFCUiJbE+GeLegVMJxEV3K+SOROZKf7r0UfR4CUJVCPa4Lq+flCCi2640jg2dtwy0/bX3E6ooihjU5np9vCuUAJMRsL2pG6RVBHIU9INXkHxgHeTKGRymBQoucGZtBPbMGVz9bIrxZ8+BOCt/MohBL6yDbK02QZ3hEGhWqpkxwD3bkfJqIQqpkL1dYno3gVQEM1FguLKD5y7GSBhDNo+RlpH5KcHZQQFKgDQa4mN/4+cRjztI1x6gPBRgAADWn7+Aj//bP4G5YLgzG0NKnZktuL7FlZUMT68TjFmM6+khVlbSqpvh7p0JxD0ndmcBgatMyjSScD+okjrm5yudCLicAYALrMQUgyTS3gEjhHe0ze0qHzLn6lJqdfUy1OpKWIm6avMB0+CjI15XFppt76jHdTUNsc8WEsa0snZJR/IRyYoqVyHNSsyzAtsbk+5EwZB7lgv9TZU/6ReNSR/cUIaqWpnVlENm9W925hlmGcfVtRUoTsAzCqWAsmDI8hhSUkzzAQYvXsUzf/Enup/3fXlX5VP/9k8gfukqCklxkGvugayIUZYaEJRZjMuDFcwKjtsHOcRMe8kAnR9AR6QBCFQhO8qWm9vgrxSBcLjKbD8zjDFPc6SZozeChwGBlCaG3hEa6AIEtiIn5HHoKsEF6mTqkHR5QIEw4Aeati90L0XZHfagpK6ccmU0BLbW2y3TpQRWJiDGK3fvIMUwjjAZD4DNFbAPX24QE+nzJ8DqqO3daSWfy2BuUaMlsVSQ+yXSXW3zCJG4S/ewuU6wPRpClAR7M+2RiJlETCUYUeCS4MN/7Sex8dz59rO+B/LQgAEAePILr+D5n/0UdosE0zyBlDr+Z+uHt89N8ZGzFFwK3Ern2DgzRxKZgciVzuR0lFjNPWUVsg0IgDqD1JWexMLtUYz7h3OIxiozAAjsv0XAQ1Chag8duy43PxZokbTtie6KjTX6pYX2nKF/9x0nZTPL2XdB2u2DRP9nhTGo8VDH9PpYz/w8Bs+43dufIWIMaxFZPlEwlOHN5RJNRHQWsDLjghCgEAI3ZynOjoYY8hg81UmtZcFQFBEsWYhY28Dz/+GffL+M8D2Wz/2dXwZfW8OcR5iVsQEEEcoyghQEAzHEJhvhxjRFmgmItAYEJCJgE1ITV1r3r5uDZDwELbIZ60l03fqhhFUA68MYkVS459fOKz3xB2P01ovmhhwrvgEfoMhal/0QhGtX/Ind2hVfz8296XPKYF5P8DjXPrTCB8692fO692juTa2uOK57qj0Ck3ayNOEm8VBpWySUwt4sw5n1cc0MmUQO/TzR9sq2tbf3ZL06blIgFy2PgMq4Lmm3m6TuRKjMp2NU4X50AE4FnlhZAS8I8nmEQjAkkQAhCkIRRETh0s9+Bk/++Edbz/ReyUMFBgDgw//mF3Dmk89gL0+QGjesBQSKU5w7W+LlbYIbhwUyUmDjbIrhoITMdO9yNRf64xnjrzLeDAdYD0HmKcQyiYVmoGytDCHzAvf3jcvPUdSu/uYN5O0rqV+H7+8LJd5YQFApXKDsyJ7DJRZxQwV+spJVTnuM/xxKNhXdbh6N9ORvgYDfEKpPfFeplFBK4d7eFGdGEYi9PXufR0kUzMomEDDhg8rIKwUUEmoutLuvciwpXDuYIQLBeTaBKAmUIChyhrJkugFREaHAAM/9B38Cw3PvXQbw+1LLJ//mLyCnSQUISqFLDstS8xCcZ6sgguLa/gyyVBAzBWmxIyVgEwoaox6zpTCG3xlreVnz0QO1h8AHp77nSup+FFvjAe7d2Yfy4+hAlSvTygGyycqhCTnUh8P+e9GkW+UtefvsPfs2wF2c+C5+F6QEFzhdIMXRTVd/KQFWJjUQcEqyGwnQ7jERw/2shKQEW9trtR0ytgkRbS5c7PWr0kG3kog3EwUNQISbb8Ql5Ex7CBRXiBIJvjLHnSLFheEYEY8hcoY8i8GoRMIEch4hpgrjjz2PD/ylH8XDJA8dGKARwyf/o5+DvHABhWBVuSHnDEWu47XPXCA4u6Fw7XAKSQRWNvOK9lFJAwic7E5VCF1p4AICfvw8giSOsD4aYOfO/eAqnLgZw419qk4+8o5BUYarEOy+UB2yTRrqqvm1LrwWUBDdZUz2fCFPRldogxKo8bANBPqk5z3t3tsHzwtse006evMD3Hdg8gOUAwr173iTMrTQBCHW3WcTgW7OUhwWJa5Eq1BchwbyNEJZMkhJMM91stqlv/yz2PjIU8s97/vyrsu5j17FB/7aT+KQRyglxbyMUQqKvGTI0hgEBJfjdewfStycpXoeTFUdGqIAHVt+AXNS4xJu6EoZSCy0lQb+YsIbs2c3xuClxO7dg84Sw1BZX03kFdDZsst2LHDHd5YsLghvhqp57L6jhi+AIDcDAKjhQFcX+BM4HI+JJzvTDBsbK0j8HhKhttM2UdCvGMjLFtdBg/FWAioTkKmo/xYAGZe4djjFOIqxqcYQpbYdXFAkTOiFrSRIrmzjw//hLz50VUcPHRgAgMH6GJ/4v/4xHAw2UEqGaTaAlESvyjIGgOCptQmEBN6azkAooLhO/gIMIMgEkIvaQ8BlCxBAGi+BO0C78gi8BLZzmxOkaYnp/cPwZFwlwjUVo7cCYVF+QUgWKXtXYs8ipe28Vsf9hZTcNhQKlDZViZe+CIE7d/axNkowdBsqhRIIQ/kB9puKABDgzrfPRRMI5BKyAA6LEjcPU5ynY4yQaGXOao/ANBuglAybP/95XPojnwi/p/flPZNnf/JjePIXvx8HZYxcUBzmuvcJFwxZFmMSxTgbT3B9N8dBypuAQELnDJSWRc6clEu9KnR5KLjQXCahxMIgINBjd5jEWBsPcOf+tPY6+mC9I1m2MzepAv4BOyA67I15hk4wcCzb0XE+YPH9BZ6JFGU7UdqeK+CJOTyYI01znF0ft38fCPeGEwUd229CPtW3B2ogkNdAQHul9VwkBcFltgrJ9cI1yyxlNkXKY5C1CV7+P/0SEv8eHwJ5KMEAAKxePYsP/80/iTlGKARDWsQVICjSCDEiPLkywX5R4E6aQQrzUdJ6MKpCG3w3SQxuYqFSdaVBVx6BG/OqXNQSa5MhhkmEnfuzTmTbSg4y/yeum85KV36BO4j9SboxaL14v90Xctl17XNdeK1M6abLrHEPIYY0JZvkJH4oJWQYyhKz/RlmWYFzGyv1cY1QjfkeXfkBrYoBob+5m1yaiYaHQKUCqlDgXOCN+1OMRYKz8UiHBhyPQFZoj8Dosx/H07/8Y+37f18eCnnl3/g8tj73Ucx4hFxQzAvtISi5BgTbyRgTkuDb92YoSz0uZK4g57ICAKqUkPNmtngLEEgVziNIvZCVO16VxLmNCWZZiZn9XWiC98GyE8JrAAKznYT0ys0HCrBvVg2KGvfv24dASLPa5+mZ5Qtp5VWU9X24xxj7WJcm1s9UczF4IdCuZOKixJ27exgmEdZswyElm3bcPYcfFrD5AV7uhxsmUlzpMVHWwEDMdPXRzjzDflriUryCSMYVPXZR6qZEOWcoWIIX/8afwuSJh7P8+KEFAwBw5pWreObf+UXMRIy0jJEWseYgMPHbFQxxdjjEO7MZ5oUeuIoDcibqVaBJDoOQdfZn5pUP2jyCQrQHXrBZhQYE59bH2JtmKCw/gRuHq84tq4Ht1/STIvB7oAYEvvIANSoPhSDcWmJXqmQe1QY9FdAJ1TzbibcMbFdNIOA8b/XMjhDXkPk1x1ZpucDO3gyDOMLaKG686+Y74G1DWYhgoqAlolLSAr/a3ae4NGNF38Lrd6bgc4KrKyuQpQ5LSUGQ5XrsZTxC/F0v44X/3c/hfXm45Xv+j/9LjD76AmY8QiYipGWMvNT8JUWe4NJgHUoCr92d1Z0nS23cYQGAUCaxtAkIVObpip9HAHQwFuow5No4xiAi2DE8Gpr3pGzru5sf4wF6kuWVXjfsiptwGPI4uLlDVtxEYX+itaDB6ru/zx7jghA3R8kHITbXwAuHVICAC/1soZwDnxjOCV0WWY69aYZzG5PapmQB4GAZBR0J5gdUiYI1ENDziF0sKYiZhOLAvOR4+/4cm2SMtWgAzinyTBNgZaVOHpyrBM/9O/8qNr/rKTys8lCDAQC4+IMfxNV/82cwKyPkPEJeRjqbW2hSkfPxBKMowht7U5S51GNcQtPI2rwBaT5kWbuFUQjA7VSllB4UPi91lUfgTZR5ga1xAkoJ7uyZMkMu9PGBxDuSB0IPQB0390WItvfAShebn1RAFqBHBfQEGApncBE+xnov+kIagfMFn8cYkirr17++Qe4lF7h/mOLs+kQbB3/lL1UwPwAF19/OBQLzOhaopNLf3uENV4WETPVKUEngxu4cezOOq6sTEMNgZ4FAwRlyHoE8+xRe+ht/AtSPR74vD6V89v/xpxC9cBWHZYTMEEOlRawjhMUAF+N1HOYc79zPIVJDSsUBMVO17VCAmjUZ5oKJhTaPwNXJQrTpiqUEyTnOrgxxf5qitDZBCJ0EG8rVCekNLHFRQAdthn3Ild+l09ZdH+xMGAAJgGMHunlZWiJ7KidsGKR1fdFNNmaSNO/sz0EJwZm1kVkEBMI1ad4EAlKG8wO8REFVSKgZrxOMC6nHCAeElPj2zgyxiHFpNNb8I5keY1kRI+cMGWd46t/6GZz/gQ+2n+0hkoceDADAEz/1KTzx538Ch8ZNmxYxiqKuIb4yWAVXEq/tzMCnDiCYySqPAECVR+DWh2LurDyV0oyFftjA8g54q2omJLaHMe7cn9ZlhtYl2OqI6MQCW1m/YfIRwk2YIUQkYlflvoL0KagvlkPAP7fNKA5VEwgR5h+XTiVFK2ExEBe0sVTHhbdzfwYKYHsYtftKWDerG5IwYQFVuqEgab6pmfRlnR9QPUYuIWc1ENjdzXF9N8X50QhjDJDPtDIXhQafOY8gLl/BB/7PfwbROFD//L48tPLD/+WfBXvqoskhYJWHUSkgEROcica4OZ9j94CDzwwgkBoQyMyxHWlzDIFLqFnRDBsYxsJQr/smgJXYHiYghcDOrtPGXMl2qaI9h62WCVUT9MTcu/S0K/eg09644tiBzuv22bOunAcfPFhbFlpcOImZQkjc2Zthe3UMWojaY2FFiHBYwOWJsPZk1rTzKhON0LPMDBCQuurotVsz5Bnw1MoqyiKqgID1JOaC4cIv/wSu/MQnu9/nQyKPBBgAgKu/8Idw6U/9YUyLpAkIJAEpBriSrOEwL/H2Xlp9LACQc911rooFFkIzR1XuH6ljyovCBtZN5XkJzq+PIfMCd3YPmjdsk/78ydGGEwLxuIVK5Cupu3oPudW6sn7tcQH3Y/B8S4CA1n1bt6If47PbvWRELgR2dg9wdhSDEdL8vV8DbBU3FBaYl1WISAnDEmZXAxKQqdCxYfNY0/0Sr+/OsBYlOMdWUKR61V8UehWZ8wjy4iV88D/+ZSQbk/a7fF8eevnc3/1LIJfO4bCMjYegBgTragNjDPHGwRTTudSAwNqOVOcRuEmmau4kFtpVpGsnTBJhs/zQuKwdVzRjFOfWRtjZ2QNPPQ+YCOgNUHvRQqyePcnHXZVNrTJom9Pk2htffDvghTXCk31PyXUXmLGU8V5Zt+sNsHJnfwZZcJy3oUXnGZGXLS9BFRaokgJNmNH19khATnkjKV3PJfX+N25n2E8Frk7WQHjSAAKpGWvnfunH8fS/+tn2cz+E8siAAQB45pc+hwt/ogkIUtPDfMDHuBCt4U6WYecgB5+qumdBpvvRV7E/LqFmNR+9MoOhwT2gNOtYq9rAegmMsscRw/baGLd3DiBTr+tWtfoNTNadrv7uzl/ENjrqcum7vAE2BleVEUo9cVblhrK+dmP1Hgg9hCoC4CL9gGehC6QUZTAUs3N7DygFzm+u1Nt9b4C5H5WVGtW7QMCAt8pwt/IDzBjI6hhgui/w2r0pBozicrRehQbSTE8WhWAQ5y/iA//xn8XgzGrr+d+XR0c+//f/MujlJiCY5wmkojjPtkB4jDcOD5FnQDGlFYmMTixU9bgKJRbmvJlHYCahdrWB0MmFptz3vAGXO3cP2vFtqTQAbpUrGh0KsW9WHsx20rAF7O3mY6KaqIONyay9MHbEtwPExvkDIQvSuVCQzXyI0DOEjsmLVmmxLDhu397H9mRQdzaVqvYGeGBHpXnTS2DzA5zyUZsoaPMD9N8KMrd/AzfuFrgzzXF5PEEihsgznTQ4z5MKCJz94z+KZ//kD+JRkUcKDADAM3/mc7jwJ2tAkJe606FSwBqZYFNN8PbhDPvzEnwOyNLGiC1TlDMIpnVsSNnkuqkX2w+xFjYUVeHC5gqElLi7N2snt9nf93VFDLn/OjwIpEexK6VseQlkrdBe8mGVyNijyM3zdaz49UvsBjkh5Te/F2mBnd0pzq6PETFavy+PEazyBvjVAtNc77O/LYX+tm7yj6kYAPSYKGYKr9+fQkrgiWgDwlDXplmi81IEg7h0BR/8T/4cBmfX8L48+vK5/+Yvg105XwGCjEeY5wmUorg82EKWMbx+MIXgGhCIXB+nSgVxKGvbYRML3bCBzSNo8dcXdTIzUHsJSo6IEGyvjrGzP4coTZzbz3y3uhDsiliGy/zsAiB0TLVoaF6DdOg0URJECN2fIKTTVQl108vZubjou7e+5wkRjRUcd3b2IbjAhar6qMMbYHtMtL6Plx+QiUaioLKJgmYeETlwd5fj+uEc28kIK3KlIrWaZQkyrvNTzv/pL+C5f+1zeJTkkQMDgPYQXPyzfxTTQqOwgrMKEGyzVQz4CG/sT5FmEmJGGohOzkQrj0ClOvlMSbMCsKyF1Y86vASGdjQhwNbqCLfuTyG5rLa3BrwFEF3uv1C5oVXejok3OPl3bVdtUOErbGN7F+uh79arYnuB+7QgwCcLqtyAOt4nlVkp2d/73PBd3oCM199NKR0WaOUHiMZKT8wIru3NMSs4LrMNgCcVECjMqlE88RQ++J/8+feBwGMmP/xf/69Anr6CgzJGyk2md56AIcLlZBN7M4W3DmdQgqCca0Bgc5DEoazzCFR32KBBY2y9BHlZg1UYV3Wa48LKAFJI3DkwSchlGc6CD3nJgKY7vQu0dy00gnX/Imyj/OND9wLU9qFrodBVrtjn6Qj1f8hKyLzA7b0ZtlaGSBjVNibNGzkbSpq+En7OgFctAAnNRJr//9s70yDLkrM8P5lnuWvt3V3V1ftMTy8zkkaANLIsISFAGwgEYiAcCNmWFywCFIRtFEGEgTCBg38yBsIRYBvCNhgCC4vFwgjEIiQQSAi0975M93R3VS+13P2eJTP9I0+ee+6tWyOhBU13n/dPd539nnu/L998vyV1niiohxrV0bjcIhVBp2N4ptWj4YUsmLmcCPSjTK1Offb/wJt55O3fuPv7e57iviQDAMfe+ioO/cj30FMB/dgSgm6/gjGSg9VZiEIubHaIEoUaiFEegcbGfnoFIy6UH0L2A3LVBpMqwWAiaSgz9pV6SJoo7uYtis3uA3y+hPIUo3AxwbGFdkYy3Q5ZrbDS39jgvwtZEGb6YC90oRHQrs5jIqnQrTy2mzNyn2U34qANSmnWt7rsadYIJhN9XG7AYFrvgNjmf7hjJ8ICNoFU5bXjLilMDQTPtnts9GJW5DwVbEOrbr9CnHr04wB56jgv+Ll3EC6UOQIPIl776z9I+MQjdBKfXqYCdYYVQlFhfzjHektzvTUAnRGCgRjlIA0MqlvII0g0upuMVAOwKkFv5yyUCZXAaEOgDXuqAesb7VESsiu1ndYefUoP/V3JeNGn7GbXxcWQpoVDi9f7fCRgWsXU5LNNhk12U1KnJlJq+06yfg13231SpVmZreWLRo0Rruyd71ADevG4GpAa+x0mI/+vuqP8AKMh7Qm6HcPl7Q6e9lkWC2hjG5F1hhVi5dHTFQ792+/m6Pd+/c73cx/gviUDAIfe/FKO/+Q/Ziir9OOAVHn0BiE6DThSmycZ+py71yFONSrKCIHLI4iN7StdDBv00+ldCyclpykqQVVK9lR81u5uW8nPIdUj+c/BEYLCoDjaV4irTzPsXRNuCvG9IhwpSBJEsotTyKW7yeRAM04CphnytMTBuPAsxed0JT8F41zbaGOSlP21YHc1oPgOnBow2U2wWDaYZt9tXJT6DCoS3Or0We9E7JVzzHo1ksT+ZlJliUD1ZS/iBT/z/QSzOxdFKfHg4DW/9C9pvOxxeqlPN7Y14d0opCEbrFRmuNFKuNEagrarVSaFPIIdYQOTlR/uphIUbSBKxprbGG1YaVYxUcra7e3xh3RlzbutjLhL2G1HiWKRFEz6m/x60U4bd8+wW46Cq5yaRgLyfKldSMC06ggXEpmmTDjfkT1DqjRrGx32VAOq2tjqgGIewCD+vL0DcjWgWDaYZt+tCy+nkHQlwyFcbnXQqWS/vwTGJ0k9ulFIqiR9apz4qbdx6Due4n7FfU0GAFZe8wJO/cw7iOpzdGPr1AdRgElDHmnMkUQe5+50SbVGJ4K0u0vYwI0tsdpFJZiI5ynbjrSYNbx/voGJlTXqyXiZM4AdSULZ4D7J9l18b1cFYco+d59deh3sWuO/qyEnOw25ONhPbndkY1q3sykOKuoPuHO3zUqjOkr+wUqoppiM6ZxOP5mqBhSrBaaFBdKuQCeC2/0BN7cj9spZloKarRiILInsxiEzb3gFp3/6n+BVn2P55RIPDF75s29j4dteTjf1acXhiBCIGfaFTa5vJzy7ZTP9dSLG8giKYYMdKsG0ngSTFQeDUegs8D2WZ+rc3uwStQfjpNiVG05rkZ5mM+VJP+BIwbQ4u5tQPJfv2K3dcPE60yYsMPIPUxMZXS7QFBIQp5mPmOKjBpF9B4Vz1u910FFqiVTxcyTpuBpQrBSY6B0wqQbo/igsADYsEHclcWS41G4TDz1W/T14eAxjPycCveo8p3/m+1l+9RO7v7P7APc9GQBYfPIIL/yFH0Iv76MdhSTKflkqrnKkNkcUCc6t90hT24NgetigoBKkBZUgg8mY5dj6BgBJmoUOFIHvsTLf4M52j6gXjWezajPxo58gBUUpvgizGykwu5OC4kxgl3Kj55T2d+sXsJvcWCyFmkYC3PPlztCGA27dbuMLwfJcI99uCk5ydA2brZ0bfVENcEpPpgZMCwsYDbe7Q65tRCx6TZaCOoNhYJe4VR7tpMLKv/p2HvvRpxHeA2ESJb5APPXvvp0j73gjA+2zHVu5d5AENMU8eyt1nm1H3NhM7aqpBpK+JOmMhw10d0IlGKhxlSDNclmKi91A1pTIhsCW5+r4nuDmRme0qurkYP1cOUfTGhbBLqTgOZTJYuhvWka/8zc7ypwLJGBa6aMjAZPY7dl3yzXShqgz4PbdNiuz9dEkQmUEq9hUKFtkygxGfiJXAwZqTA3QXT2aJGpIOjZElCrNpe0O/b7HgXCRQHh5xUCsPOKVA3ztf/1BFl98dOdnu88gjDHm8x92fyBu9TnzY7/K4JMXaIQJVT/FkwaCPtcG21Q9wcm9DcKKsIvrSYNft+uZA3bVsqpEBIUBwReIUNrlLwv17yLMlsQsLtErJcaTfPbmJjO1kGNuaVt33OSKflKM1uyetl2bnUsA77YqoBTZGt1TGL2U9OOEs9fucvrQHurhlA567txJB+SwozFR9mzTSh1h+naj83yL3jDh3K1NjuyZYU+zahsH7UiA0uOrDBq3TY+MG9BRVingHHRiUANAZ0SgHfHM1oClsM5yOMNgGNre4anPwGvwyI+/lb1ff3+z+hJfGq7/6Vk+95P/myAa0PBTqr4ikIqW3mI77XG40WBl1scPNUiD9MCvamRhQT1ZEYiqQDibFSCqHsIvLukNBNm2Md8huBclXNvocHp1kXq2SJfw5chHTByPkDv9g9x53R37p8Hzdto40I9Szt64x+nDe6mHwdRjEHJ6HgHs9EeTpGTafqN3Hgd2spBqrt5t0RnEvODgHvvxpkyUTKqtElAUWdJsASpHArSxZedRwZfEkA4lWoFKDRc2u/SGgiP1BXxC+lFAom1XwfDJk7zwp7+P8AEJKT5QZABAp4qLP/t7bPz2h6n5KbUgwZMaI4dcjzap+JITC01qdYOQmT1VjDXkzE6ED6LmjYwaIJSWFLiZozEghCUFYWFA14aNYcy1rR4nDiwxU8u8hdbWqH05PqAbbf/2vZ2Gm6rsnIl9bqD1s3W6i0gSa/De+Dn9YczZ63etUVfdM5lRueHk8p4uT2CSsDhFwj3b2MvP9rnPVPyMaaZWSIkxhnO3NjFKc2rfHELp8c8XZwsJZe/YPk9GAopLU2tXLjq6jY4MOhJ5VOTWVsz1zoDFoMZyMGcVIy0ZJAFmeZnH/sM/Zeb4CiVKbF26zcd+5FcR6/eo+ymNIMWTmq10k67usVJrcGAmJKwohG9/h35o8Gpm5Du8bBlkych/eMKSgrFBGksKCr7DKM3Zuy1E6HNqdRHhfvvGgCcRzg+466SZ3QT+Tt+hlPUBk0Qi1QVfNGG/LuQZjq5n/cY9Th/eM/IbMFIC3PFFOP8gs0mUO97tc882+bwuMbt4TpYPgNIgBJ1BzIX1LY7umWEpDEbvwL3DWO0kATpbxdaVC2qTK8JGuWOsYpzG9lpxDOc3evQieKQ5j9QVW2WkJb3EZ893vZoT73zj824Z4i8FDxwZcLj5+5/g2rvfQ5BENMMYT2qUiFhLN5ASTszOUG+AF5hcJfBqIIPC7L8qkJXCly0zRSAcZ9fCk5YQ+DL/0Z9f3yJB8MSRvfYHo21sUbjB1ZGCIgv2Jgb+onRWJAWpGsmN7nrOuIrxene8542TgcAbDdzuGo4MFBdJAvucvjdOAorPBKN9qnA999kyEpB/dim5s9Xl+u0Wp/bN0nDLFEthj41V3gwqR5wpBEXhIBo1EIKdaoBKBM9uDlkbDNkb1pkX8yTZUqLdOKT+1OOc+InvJZh5MFh9iS8f/vyHf4XeR89Q9RQNPyXwNFtJiy4t9lXqHGjUqFRTvGBcJRDZmCgkiEAg6wVfIoVVHEOJkCIPeYlQIoKR7+gNYs7daXFo7wz79sxaMmyyGbSU46SgOLN2PiX3A9lA7WzRDdiTdl8kBcWcqGwg76dqnAw431M8zl07nfQdBV8Wp+O+zq3v4UhA/kwy/2w5Ccg+uzZw5uYGgdac3DM3Uicz32ESledr5O841nZJ6oJyoPsGk4y61JrUhn+MAbSgPzSc2+iRasHR+hw6rRMrj0RJerLOYz/6NKuvf/Hf5Sd1X+CBJQMA7cu3Ofdj/xN14zYzYUzoK1JS1tO7CKk5NjPLbFUS1O0PUUiQgUHWRirB1NCBtPLfGEunQAqkYJiknLm1xcpsndV9czuYe04KJhk9jIcUJvcXB+DJczLSMW1fbtSrizvDBC7EME3an0ZMiveflPSK+4sZvhniOOVzz9xhqVnlsOvq55J8iiTAzQqGEyw/yWq9nSHrLG6bjNSAZCC52hqwGQ9ZDmZoMofSgjj16Kgqq29/PYff9hrEbpJpiYcen/ulP+Paf/tDQhQzQULVV2wlXVp6m73VkIP1BmGoqdRSkPY37vkGv2byTCzhZ6GDcIIUVAozZpwvEJYUANc3O2z0Ip44sEhYD6dL/Z4cVxqK+/xdfteTs/H8nN1DjP1YcXZt04YXnX+Zds9d/E6uPk5DkVQU4FYYndx3a6PL+kaHx5fnqRYWCzOJsnkZY/lKdl2a8d4ONiTglEQ0pAOBSt0iVZJW33Bxu4swkoPVBVRaJdEesZKo1VVe8FPfy+xj+6d/nvscDzQZAEh6ERff/Ttsf+Cv87CBJuFWtAV+zCOzM8yGPn5V4QUZW/cNXsWy+7HQQUXuiP+JqrfD+BwpuNXqs97u8/jqAlWvwNyLRpyxWxH6O7c7yWzyHGdcnrczBpgkU8MO/WHC2WfvWaN22fJFWX8yTKCzLOZMWRh7LsfmJ8gQOlv5cTLXoXDO5XttelHCEwcW8RDTlQAX25uM90V6LCRgEmObwmTGrBJBPJBc7XRpRQn7/HkasoHSdk17vbjE8Z94K/MvPkaJEp8P6x9/hk/9+/cg7m1S91PqfkpH9bmXbLOvLjlcn8H3zJhKIAT4FYOsZL5EZqGDqh3wHaaRArD5S8oTnLm9TSP0eXRvIe8onBjMnZ0F/hgxMJnvyH3KWIhRj663I8SYGVch7NCPCn6jUvARrnrIHV+EUuP3KZ7jfIQUO585meI7AGLFcBBzZi2bXM03yFciTSeGrykkgNSghwZdrDSMBGkkcjVAJZLNruFyp0MgPJaDJbSu2IZCqc/8657i1LvejF8LeVDxwJMBh1t/8Cmu/cffRA76NIIEz0u4MdjG+AMOzzZYCCsEgcavqtGkPLChA+GLPAxezCfIpT5fjEhBkYl6krMbbTxfcnLPrI0BSjE+wBcHQicBuusUpbOxcybCBMXYYDFMUNg3RgZ8Od4DoBgmcHJ/MUzgeeMkoChNOonOSXqFzzJ+jmGrF3Flq8MjSzMsBIFl9A7uOsORgbt37PIC3HdgUhsS0Mlolbl06NGP4FqvQy9S7POWqHtV4tSjlwTMvupJHn3X04Rz9S/uB1TiocVfvOvXaX/oM1Q8zUyQMNR91qItFquCYzNNQk/g+4pKVSGkmRo6AJDBKJ/AEV0RFBKUC/a4HcdcafV4dN8c84VY/VjicrEyIbNT4cvRzBpsXpMvd9hqPhA7wiBk1vBLj6R6X1pl4OaG9RuBP5YEnOceuO1ZHsHIL477MpPqvIeLUzaMW1p98rMUEoiNMZy/3UJjOLVvHqmy6o2i/8oSi11/APeOdV+PkQCTjhIEbUhREA097vUTnu33CAnZ6y8BthnVoDrL8X/9Zlbf8OIv8tdz/+ChIQMA/bUtLvz0e+h/8iI1P6Xix6xHLbp6wMGZgNVGDU+CX1X44YjZy8AgK+SMVUgQoUAEE2ECP0solKNje1HChc0OK/MNVheb4w/kjHpydp+Rhqky4G4JK24GME2yl4J+qi0ZWF2wRj3t/GL53ySmlC25GQiTPyEnGRYMPE4VZ25uMlsJOOZKCSG7Z9bfocjydRbXi0exPbRBR+QhAYA0FqRDj06ScrXdJYp9DlTmqUib8BNXmhz54e9g5Y1fN/1zlSjxBeDy736Ci//pfch+n7qfIuWAm8MtAqk5OV+jEQR4UhNWUltxADYPyTd4FbMznyBk3HcEbtAebbuy1aGTpjx+YJHQ98armXLfMRlC2KVCqeBTJkN3echyio33E8XZ9S1OH1yi7u0SJsjOnXbdXX0ETA9L5kmDo/vc2u6y3h5wcnGGuuePn5PaY3MSkF1Dx+zIC1BRFhLQWZJg5JFEkpv9AXejARUzw55gHrBJgtUXn+SJH3+a2vL8zmd/APFQkQGH6//nr7jxC/8XLxrSCBLaqsPduMtCVfLIXJ3AF3jSjIcOXNVBwOcnBTJTCjJSsNbqc2u7x8mVeWaa1XHpzMnt4UR2rxtQfW9HfNAZyljZkduXZfjmrDxDP0o4e2PDGrWT+9yMHqykWIRj8u4+7vpu1uEqDYpEJlWj5irFcxLF+ZubxIni8dUFPClHJGA44UR2IwEJeZUA2JBAOvRQWrAxiHimPcA3FQ5U5zA6pJcENJ96nEfe9V0PjTGX+Mrjz9/5P+j99TlCqal6EbfjTWITc7RZZ6Vh7cqTehQ6AJDGVh1URvkEkCkF1YkBXWKTln2B0pozd7YJheTEyrzdLsVYhQ1SjBIQHYohRl/utFHI/coYnOzvjcoh+1HC2ZubnD6wOBYmyGf0MCVMoMfvkz+XSyieEmLMEgDRZqxiqzuIOXdzi9V6lf3FJcRTg47GQ4noneEAtCUBaTwiASqRREOfKIVn+x02h4oFf46FoGnVgKDO0Xd8C4effjkPEx5KMgDQv7XFxXf/Fr2PnaXqpSjRZy3aJvDgxEKNZsX+IH1f23pib3dSANaoRTDO0oVvs4fx4MLtFrHSPL48jxd61oAnZ/IuhOAMezcZsFiTP5FhbIbJWEmeIwz9JLVkYHWRuifH2/l60pKByQze7Poi8HaX89xzFtdrcJ9FG0yiWNvscavd5+TeOZq1wCoAsR5fzQ3L5PVwguFPIQEqlqSpLVF8tjPgVjdl1quzHM4yTAPSxiyH3/lmVt7wtc/xCyhR4ovDlfd9kgs/93vIdpeKTOnoDTpqwN5KlWMzFQLfIITB8zRhqKaTAgdZIAVF+Lb6oGcU5+9ss9qss3+uDr60fVGclF4I5wnvOXxHmOUXFWvyJ0OWSTpequd79FPFubUtTh9YpBb44wO9IxyBvyMkmF8/9K0viXf3HUbp8bBnJvunseLMrS1LhvbNIjyZhQL0WJ8RYEQCCreYRgLi2EMpySBVXO506ceSlco8NVmllwTUX3qa0z/6ndRX5j//D+EBw0NLBhzWPvBprv3872C2WvjekNvxJoqEw806K00/JwFTScFE+ABAhrZciKJtS0GC5sxmm9lqyKN7ZrPt2bnTMoNzg5Q7txdLavLtrjZXTw079JOUs7c2Ob2ysLOaoHjOZOMfd69JOa/Y7rOAUSawnfl3hjEX77VZbtRYbVTHY31gO7bFGh0Xn2dnOEAr2yM+Te1zDhPN5e0B7VizL5ylIWfopwFLb3gpR3/gW8tFhkp8RTHc6vPpn30/G7//cQKpiU2b7bRFw/c51qwzUzF40pIC31eEFZX7jrHwQbFqKciUxqL5SsHaYMDt/pATe+doutm5XyD7E8fnyuXkzH833+H2pXqHv+knKWdvb3N6fxZenOYHJnKlgOf0HXnC8GRYUo9UT1LD5Y02nTjh9NIcoZQ2FFDMydJZhUCBBBi9MxyglSCOPNLUwxjB3eGQa50hmJAD1Xm0rpAuLPLoO9/E6mtfxMOKh54MACTdIVd++U+4994P4euY7XSTnukxF4QcbdapF0hAEGi8yuhvAK9SIAVjSYUC4WVGZ2B7GHOl3WX/YpMD2WA1JsWH0ib8uFhbUQYsGrDryjepJIBtlwyjfIRMputHCWdvbdmcgUowitc546sWCMLkTN9lMbt4XkHOy5/VjM/2hS+JUhtvrCE5Ptu0CZTudSjb/SvPE8jenY6sMTtoJVCRJElk/vftbsq17gCJZDmYR9DAP3aQY//mLcy/6MgX/sWXKPEl4s4nr/O5d7+P+OKzKDOkpTYQKFbrDfZVQ2phghAghCEIFEGoxn1HqMdJAYWSRNcaQBkubXUYoji9f4FKRuZNNosfy1WCfFDNcxAKkw0TjfzDmJIAtn9/FoYQmV/pR4nNGVhZmAgvZsmA2iBqhSqDiZm+qGTPmocXzejZXDQgzZIFs4mC8CW32n3W2n2OzTSYk1k3xvx4xksEKZCAePR5JklAojSX20M2o5QZr8aecJ6BqbDy9Ct59F98M0Gj8nf67h80lGSggO61u1z++ffR++gZIt1jM90i8DSH600Waz5BkFrDliYnBUJMKAUhIEdhPWuoIv/hr3X6rPeGHNszw+JM1W4cm+Fn2cWOqRf3eba0cVJeF44o+HK8N7e7ti/pK8XZtS1O753LEoEmvvbQywnAjkQgd8/JPgC+HDPi4j6lNefWW2ilObk4i58rD5bN56tHGrtNx+NKgDEjEmC0LQEaRJJr3QFbcURDNJj355GLixz4Z29k/5u+ruwbUOKrhkvv/TiX/8sfordatNItYtNnqRKwv9qkGWoqzncUlILcR0hjK5cqupgjaFXGrLw51ZrzG22kByf3zeFXdiYJ5oP/lPBjHlqYXAgo8x3Ck+PVPdm+gVKcvdvm9P556tKzA/2kfwi8cam/CF/aScKkCuCeMTU7/NnWIOLK3Q77azVW6qOmYK6cuKgiGgMqkpnvEPm2IgkwBu71FVd7A7SBPcE8Hg1mX/4Ej73zW2ge2bvzuR9ClGRgCu5+/BKX/vPv0j17hY10GyUGLFUqrNbqVAKD749IgUs0LIYPhGdzCoQ/IgXGgAwsMbjW7tIaxhxfmqWe1QjnTDlv8pMlG7kYIaN9JtaWAIQF1uEQqcJsYLS5nyrO397m5N65PExgNDlbZ9K5uJm+NpacQG7MjskXnylPCEztOVe3OnTjlMeWZqlKL5PzzNj7MCnoBIwq5ASkAhXZxEBHAtLUZ2uY8myvS6oF8/48jcYi+7/7Gzj2tm/Crz/cjL7E8wPGGD79i3/MlV/9IFF/i+1km6qvOVRv0gwCqn5KJRiRAN9T+IHC853vMAjP4AUG6Y+7ZRnCUCgub3dohj7H5mcwuhCWnIIdPoXMd2TEwE4ish1ZRc/YZAToxynn72xzct/8eHjRDeLa7FQlXFlgasafTZudEwf3XBkx6PZSLrc6zFUCjsw1pxIAAJ0KVCIy35HlBKSCNPFIlfVlSkOUSK73hmzFQyqiyry3QPP0MU7+4JvY99Rju3yTDydKMvAcuPD+j/HJX3wvaxcv01Udqr5hX7VK0w8JfIXvj5QB39NIv2DEwkp/XmCgGKIXYCQ82+2hpOFws07oEnhkNssPhI2BqSzmJrD7As+en+hRkqDMQhHeiCjkt5LZdimIlOLqRoejC03bAEmNKwC50SqDUYVyIJG1UTVZpy+NXehDm+zaQGJyYwZY7w7YThMO1Go0vMBer/grS20ioNGAyeJ6qUCnglTZ5zBGECceUQL34gHtJME3VRYaS5x6+rW8+J9/G/Wl2S/L91yixJcT3Xtt/vIXf4/PvueP2e5voE3MQuizt1olkJLAUwS+QgpjTVsavEDhFcIH0rehSJlVM6EFSENfJdwY9lmoV1ipVfPjhScQHojAJtbmiXSy6AeAYgmeFOAxCvcNC8qAADxBZDRXWz2OLTYtqU+19UtmdJyoeKMwgGJ8sC/4MrcmQP5cQthWwcqGDWOlud7u4fuSQ406MhU2hSn77GDVQ51ItB4RHKUEKvHQWmSuSRAnPq045V7cJ1bQ9GZYOX6cl/zQW3jstS/5Ir/ZBxslGcAyejE5w3b7tObGBz7FpV/+f9y4cIHYDFmoeBxq1Kh4Et/ThJ5GZguXeJ4zYo3MJttCGKSfMX/fqgc2ftXBYHhs7yyVsTUQnBLAxOImo1n41MQhGFMUihikivN3W5xYmp1g+NoaqD+6dg6X0CN37hsz7ML2G1t97nQGHGw2WKpUsmPJmgYJdGoHegCtsIatBCojATqVxEqSpILNOOJWf0iifJYaSxx/yzdy9K3fuGupoDEGYwyyDBeU+HvCc/mO3u0Wn/vvf8bZ3/wT2oNNPKE4WKuxVKnge4ZAakJf4XvWkKQweNkkI1caBQhf4/nWhwBsDCNu9rvsrVU5uFAfC0uOlT3749uQWP/gT+9hMlo/ZLSvn6Rc2Ghzcu8ctcmOhVlIcbdruXtN+gnXQKy4LUoVlzY7kAqOz83gMbqXTu2s36Qyb1eglSBNJSr10Jk/SZUkTj26CawPu7STFEmVwydPceLtr+fQ657cNZSolEII8VD7jpIMfIEwWnP7Q2e59Ct/wNVPfBpBwkq9ymqtaqtzpCHwFUGQ1fkLSwz8UCM8k6/bIz1r1DIwJEJx4V4HgJN7ZglDGxIQ/shgcqP2R8mIeVatSx4KRsRAD9w6C3Y2ILIYYj9VnL2zzek9c9R9z8p1BXVA1lySoFUecjlPjkomjXIxvvFnM6kNHdxs9VlvDzjQbLA8W83CAJYAaCXyd2CUII0lSo2MO0n8bCEhQSdJuN7v04lhYW4Pp7/7tRz6R6+mMtm0qUSJ+wD9ex0u/vpH+Mxv/BGt1j2avuBwvcF86FsCICwpcGoBWKXRD5Vdgj2D9ExODDaSIddbPVbqNQ7M1pFB1thIkkn19hzhZ+FJl4wYU/AdrnohI+d9F/rLcp18QV8pzt1rcWpPFl5UVuq3/iE7vJ6peTrrD5KO7uGWeLa+YJT0ZxeHs88aDTQXNjtoBScWZgl9OUYAtCqoAFqQxl6uIGojSFKPOPVItOBu1GdtOEDrgKNPvojTb389K9/w+Jfvy3yAUZKBLwIbn7jK2f/1AS598COExrC/VmO56mcl/9qqBb5CZoxfCFuaWOxfDta4E6G41G7h+ZYRh55XYPQZ4y+w/byVqYTJEqSc+RdjgVhi0E/S3KjHGL4mSwYUo/9nMHp0r6KDQZs88Q+soa/1Bqz3+qzU6ixX6zkBAJckaPt/p2Ps3jL5VEmUlgxTxY1+xEYUM3/wAC/6vm/l0Le9rMwJKPFAIOlFXHjvx/jbX3s/rRu3WAgqrNZqzGRNzjypc7VASm3DCAJ8X9lQgqfHfMedpMftYZ/9jSorddtmW/rkPqZYtgjZpML5jonSZyHtYC288dLGvko5v+n8hj9Wx2+JvUEGWciv6Ducf5CMLQyUn5f5hGGkuNzuoI3h+OwcPt4YATAGlLJhAZsQaAmA1tZ3xMpDadiMI9aHA3pacPqbX8ETb3stS0+WlUV/F5Rk4EtAf32bs7/xp5z77T+CVo+Vap29tYDQs7NzLzPsIFAIYTBGIKUZIwZga+av9FpI33B8sUk98HNjcX3ORTgiBjpy5YuZjFioTVaDbJ8n8pAEUtBXGRlYtNUErkY3bxVey4yvsN2ko/apjgCYmLyvt31+w/VOj3u9mOWwwb6wnn+uIgHQWuTvIEksk1faPnQ3MdzqD9lMEw68/MU88T2vY/8rHt9ZJ12ixAMAozXXP3yOv/m1P+TGRz7Nol9huVpjNhAE0g74ntSEniL0VZ6XJIXB9zSer/Gyicb6YMCdYY+9jZBDs3U835Jwl1LkBQbhmzxk6dbzyP2KUxMANSAnEcIH4UFfKc5vtTi15MiAsTH+dDSoey7hPwsH5v4B8pwHrUDHYuzZIpPYFQKV4GhtHl/4uTKilESlklTJPAxgjCgQADupuBdF3BoOMXNNXviWb+L006+isbrwFf3+HlSUZODLAJ0orn3wU5z9rT9l82OfYzmosVQJqfgKL2P4njT43ojhA/n/pWdIjeZqz3YpPDbfZCYIbLmiV2xMYvLlzXPm71h/9n8TM1IN3D5hjfrcZotT87PUfKcZjmb/ImRi9j8ydndPZ+BGZ/X/yvBMp0M7SjnUaLAQ1Cxzz3IAXJJPzuyVDQNoYxMFewmsDQdES00efdPXc+o7X01zdekr+VWVKPG8QvvWFp9974c5+9sfJtjosVxp0PCh4mk8YYlBIG1eQeDZhGUhDFKY3H9sJwNuDjvMBCGPzDSRQthyRc/kxFwI60u0EuM+BecrDDoWubLgMEhTLnRanFyYoyb88SUGshwgGRrsoj+jXc5HuHvm52lLCDpRypVum0D4HGvO4mMTAJ2vcBMFlf0/VZJEW2VAGcndYcLtdMjSU6d44s2v4tg3fQ0y2GXdlhJfEEoy8GVG7/Y2F9//Vzz7Bx/Fu3KHhaBC1TeEXpY9LEweSvA9SxS0EZYReyk3hm36Oma1XmcpqOdGLTyTG7FKRmEDG0ccyYLpoJhAlM0IJAxUyrmtFifn5qh7PlqBSUcG7NdMPvibNGPw2T4vMLlxG2X3DRPN9UGbSCmO1GepiSoqlflncQO+CwEYY0lArDzasaJVkcy98gUcf9MrOPDU6a/CN1WixPMHRmuu//VFzr3vL7n3wc8wMxQ0A59QqpwYgM0lCKS2EwvXp0AY+mrIzWibmi853JghlL4lDZ6diFjfYVBZ865JvwJ25U+3z20fknK+tc3J+TnqXpCH/4olfX7VKqFF/+D2eYG2icNK2ImAsh0A14Zdmn7AoeocRvu5j4Cs/YDySDISAJYADFLBRhxjHtnLkTe8hFNv+oc03BLPJb5klGTgK4jNq+s888d/w+aHPoN/+TY1T+IJQ+grvIzde9Kyfd/TWbKQ5nbU5V40tLW2M3VCT4w1KDF6nPkX4386kQhfj+S+THYb6JTz2y1OzM5R933bjCMf/CUyGNF6pwI4o3b3dPs2opjr7R4eHkcas1RkYJsEaUsA7P8tMVCZtJdq6NUCKv/gBAe/+SUcevkTeNNWTyxR4iFHGidc/YszXPuTT9H5yAXq3ZTAg0Bo/CyvwKmNQtiqBE9qIp1wY9AiNZqD9QZL1QqezPKWsmO1ksgs98Ar5DQBpKnM8xJE5lf6acrFzjYn5uaoZZ0AjSHvAaKUxM8qqdxI4hKD3b2srxGkWnO912crjlkM6qxUmhhE7i8SLXM/oo2wZEBLekpjHtnD3te8kEdf9xIWjiz//X4hDwlKMvD3hM7aJjf//LO0P3qB5JPPIKMhvrSKgRAGScG4PU1XDbgx6OALwaGGDRt4nkZKk8ffYVS14GRA17bXJR850jAwCRdaLR5rzlMVQW7MLh4XBDqX84pZ/i7PQWtBnMLNfp+teMisX2W11kQYn0QVjDgz7lh5pFogDu+j/rLH2PvKJ1h+8jiyzAMoUeILhlaaG39zkfW/OE/ro5dJr961g78wuWJgW5FkCoBIuBN3aCVDFsIKq7UGvhRjKiQU/INwiYmGNB3J7FIYpKcZmoTL3S0em5mn6gVoJdCFOD7YBEdjROY3xv2Ku+d2lHKj30UZ2F+ZZTaooLQg0VmDMQRp9m+kJKYaUnnRERZecZJDr3oBM8tlHsBXGiUZ+CpAJSl3P3WV7b+9zPBTV+mdvY5IUiv/ZSxfYoi0Zm3YIjIRC2HIgXqd0JPoLJ4mpc6zkEUW50sSb8zIpbTy4FAlXOxs82hzgZoM8vicM94gsFKfyWJ0Soux+2xGETf7PVItWK7MMuPXkRg0WUwvY/bh6hK1Fx6l+bWPsuelJ0oZr0SJLyM6t7dZ+9glWp+4Ru+TV4lubSCAIFMMPGHwpWErHnA3buNL2F+rsxRWkcKgnHzvcpjESD2MU68QyrR+ZahTLnU3eay5QNUL7GQh8w8u9Bf6me/IJgRuP4AmZW3YYyuOqciQlXAeKfys27pVDhMtUUGF5qmDNL/mCEtPHWffC4/ilTkAf68oycDzACpO2D5/i86ZG/TOXGdw/lnitXugbQ1yJ+2zkXQAzXKlxlzQJJAjJcEZsBTWoD2p8/pkmcmEsUm41NniWGOBmhfkA72b1Ye+ypoOWgN3ht1NFXeiFj2l7OIewQxC+Cgj8Zo16icOUjt5iMapg8w/eZTa0sxX6zWWKPHQoXenxcZnb9D63E3aZ67Tu3gLugMADCnbSYuuGlD3fPZXZ6jIMOtt4JQEkyuTsfLySgaJVQ4iHfPMYINHGwuEopL5BvJJgDEQeipXBHXmNxING/GAzaQLRrAUzjLr10mMJDWS+uE9NE8eoHnyAHMvPMTi6YPl4P9VRkkGnqdIBzGdS+t0L68zuH6X/vXbrF9+hts3noVUMx/U2VOpEkqZZx1LYUiUzCVA19DEGfWV3hZH64tUZYAycmTYRhB4Ov9bGUk7ibgTDRjomLk9ixw8eoyZQ/upH1umfmyFxrF9NA4sfrVfU4kSJSbQW9umdXGd9pU7DK7fY/PqTW5cuUp3c4uqDFgMGsyFFRtigHzikGiR/y2wRCHRMVf7mxyrL1L1ApSbLODCghBk5ystiI1mIx6wEQ0g8Dhw+CArRw/TOLpM89gyzUf2MfvIvod+hcDnI0oycJ/BaE3/Xpv2rXt01zdJN3vQ7sP2EN3tE3ViTH+IGkSIJIU0QaiUWMXciFocrC0SBFVkJcRUQmQ1RDZqVOer0KxiZqrIpSa1vXM09y0ys7pEUDb9KVHivkfSj2mvbbJ96x6Duy3U9gCzPcS0BqjegGEnIe0NMFGCSFNIU5I0Yj3a5EB9icALIQgQlRCqIV4txJ+pU5mrQLOCWKhR2TNDY988sytLNJfnypVE7yOUZKBEiRIlSpR4yFHSthIlSpQoUeIhR0kGSpQoUaJEiYccJRkoUaJEiRIlHnKUZKBEiRIlSpR4yFGSgRIlSpQoUeIhR0kGSpQoUaJEiYccJRkoUaJEiRIlHnKUZKBEiRIlSpR4yFGSgRIlSpQoUeIhR0kGSpQoUaJEiYccJRkoUaJEiRIlHnL8fwlYVWekAhX8AAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "spectra = jax.vmap(lambda temp: planck(bands, temp))(spot * 3000).T\n", + "star = star.set(y=spectra)\n", + "\n", + "plt.subplot(121, title=\"phase $0\\degree$\")\n", + "show(star)\n", + "plt.subplot(122, title=\"phase $180\\degree$\")\n", + "show(star, np.pi)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can now compute light curves observed at each waveband." + ] + }, + { + "cell_type": "code", + "execution_count": 49, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from spotter.light_curves import light_curve\n", + "\n", + "time = np.linspace(0, 2.0, 300)\n", + "f = light_curve(star, time)\n", + "f /= np.mean(f, 1)[:, None]\n", + "for i in range(f.shape[0]):\n", + " plt.plot(time, f[i], label=f\"band {i}\")\n", + "_ = plt.legend()" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "spotter-dev", + "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": "3.11.10" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +}