{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Experimental API: sWeights without fits\n", "\n", "It is possible (although not recommended) to obtained sWeights without fitting anything. This approach has a large drawback, however: the variance of the sWeights is much larger than for classic sWeights, with a corresponding increase in the uncertainty of any parameters derived from the sWeighted t-distribution.\n", "\n", "There is also a subtle issue. With this technique, it looks like we are extracting sWeight that are independent of the m-distribution, which would make error propagation easy, since the sWeights would then be independent of the t-distribution. The truth, however, is that we are choosing the shapes so that they match the data. If they would not match very well, we would manually iterate to find suitable ones. This is effectively a fit, with us (the observer) in the loop. This is similar to the flip-flopping problem, see e.g. F. James, Statistical Methods In Experimental Physics, World Scientific Publishing. Since we are becoming part of the estimation, this technique makes it impossible to do full error propagation.\n", "\n", "That being said, the method produces such a large uncertainties in derived quantities, that such subtleties are probably negligible. Nevertheless, the bottom line is that the classic approach at least provides with the means to do full error propagation and produces sWeights with smaller variance, so it should be preferred." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "from scipy.stats import norm, expon\n", "from iminuit import Minuit\n", "from iminuit.cost import ExtendedUnbinnedNLL\n", "import numpy as np\n", "\n", "from sweights.testing import make_classic_toy\n", "from sweights.util import plot_binned, make_bernstein_pdf, make_norm_pdf\n", "from sweights.experimental import Cows" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We generate our usual toy experiment." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mrange = (0.0, 1.0)\n", "trange = (0.0, 0.5)\n", "tsplit = 0.2\n", "\n", "toy = make_classic_toy(1, mrange=mrange, trange=trange)\n", "fig, ax = plt.subplots(1, 2, figsize=(10, 4))\n", "plt.sca(ax[0])\n", "plot_binned(toy[0], bins=100, color=\"k\", label=\"total\")\n", "plot_binned(toy[0][toy[2]], bins=100, marker=\".\", color=\"C0\", label=\"signal\")\n", "plt.sca(ax[1])\n", "plot_binned(toy[1], bins=100, color=\"k\", label=\"total\")\n", "plot_binned(toy[1][toy[2]], bins=100, marker=\".\", color=\"C0\", label=\"signal\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To perform a fit-less computation of sWeights, we use a set of fixed signal PDF and background PDFs. As explained in our paper, one can compute weights for more than two components. We split these in two groups. The signal group consists of truncated normal distributions which peak in the middle of the distribution. These shall capture the signal. The background group consists of Bernstein basis polynomials, which shall capture the smooth background. Computing sWeights will work as long as the signal pdfs cannot be expressed as a linear combination of the background pdfs or vice versa. If they are, then you will get an error message when you construct COWs." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use three background pdfs and four signal pdfs, this is how they look like. Note that the true background is exponential, but we pretend here that we don't know this." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bpdfs = make_bernstein_pdf(2, *mrange)\n", "spdfs = make_norm_pdf(*mrange, np.linspace(0.4, 0.6, 4), 0.07)\n", "\n", "x = np.linspace(*mrange, 100)\n", "for bpdf in bpdfs:\n", " plt.plot(x, bpdf(x), color=\"C1\")\n", "for spdf in spdfs:\n", " plt.plot(x, spdf(x), color=\"C0\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we compute the COWs. Note that we compute them without passing in the sample, so the weights are apparently independent of the sample. Actually they are not, because we chose them so that they are able to describe the signal and background, respectively. We check that explicitly by fitting them. Note that `Cows` will do this fit automatically if you provide the sample, because it reduces the variance of the weights. But we are not doing this here, because we want to compute the weights without explicitly using the sample." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cows = Cows(None, spdfs, bpdfs, range=mrange)\n", "\n", "# let's check whether these pdfs are able to describe the observed density\n", "def model(x, par):\n", " return sum(par), sum(p * pdf(x) for (p, pdf) in zip(par, cows.pdfs))\n", "\n", "\n", "m = Minuit(ExtendedUnbinnedNLL(toy[0], model), np.ones(len(cows.pdfs)))\n", "m.migrad()\n", "\n", "plt.figure()\n", "plot_binned(toy[0], density=True)\n", "x = np.linspace(*mrange, 100)\n", "yn, y = model(x, m.values)\n", "plt.plot(x, y / yn)\n", "\n", "\n", "# for reference, let's compute optimal COWs as well\n", "def norm_par(x, mu, sigma):\n", " d = norm(mu, sigma)\n", " return d.pdf(x) / np.diff(d.cdf(mrange))\n", "\n", "\n", "def expon_par(x, slope):\n", " d = expon(0, slope)\n", " return d.pdf(x) / np.diff(d.cdf(mrange))\n", "\n", "\n", "cows2 = Cows(\n", " toy[0],\n", " norm_par,\n", " expon_par,\n", " bounds={\n", " norm_par: {\"mu\": (0, 1), \"sigma\": (0, np.inf)},\n", " expon_par: {\"slope\": (0, np.inf)},\n", " },\n", ")\n", "\n", "# now we plot the true signal in the t-variable and the weighted estimate\n", "plt.figure()\n", "plot_binned(toy[1], weights=cows(toy[0]), label=\"COWs (no fit)\")\n", "plot_binned(toy[1], weights=cows2(toy[0]), label=\"COWs (optimal)\")\n", "plot_binned(toy[1][toy[2]], marker=\".\", color=\"k\", label=\"signal\")\n", "plt.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The optimal COWs have much smaller variance than the COWs computed without fitting anything. The no-fit COWs are always much worse, because the variance of the weights increases a lot with every component that has to be separated. This becomes clear when we look at the weight functions." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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tNJttXh+3rsVCbYsFgNE9RahdrbNUyrci+Nx///2sXr2ao0ePsmvXLu6//35WrlzJtdcOUCwOVSr2Qul2EVmeduXAj+eqo/5y4MdShIbijWBthbgsyJwysGOZYmHKJWI7X5mTKRQKhcJ7lKBWhIxWi43jdcLhW7ax6kpiTARpccKs7IgPTt/S4TsnKZoYk9HjPjLl+2hNKxabw+tjKxT+oLKykuuuu44JEyawbNkyNm/ezGeffcaZZ54Z6qGFJ7veELfjz4bY1IEfb8RJ4rZkq0rxHayUbBG3Ixb73i7LE7Iuf8/7YFOZIgqFQqHwDs9KQ6EIAoWVLWgapMWZSInt7vAtGZ0eR3VzLYVVzUzLTfT62OK5nqPTAFkJUcRHGmky2zhS3cKErH4a2igU/eCZZ54J9RAGD5rm7hE89TL/HDNzCuiN0FoNDcch6QR1TR/MlG4Xtzmz/XO8vIUQnw1NZVD4NUw4xz/HVSgUCsWQRkWoFSHjUJVIte6pxlnSH6dvtyFZz8fW6XSMVcZkCkX4U7Fb1LYao2Dc2f45ZkQUZDhblElhphhclOaL22Gz/HM8vR4mXSS25QKOQqFQKBR9oAS1ImSU1rcDkJcS0+t+/XH67svhW5KbLM5d1tDm9bEVCkWQ2fOeuB17hjAU8xdSiClBPfhoroKGYkAHWQNwfO+KrKM+8DHYLP47rkKhUCiGLEpQK0JGeYMQ1FkJUb3uNyJViGJZb+0Nct/hqb0L6qyESADKnGNRKBRhhqbB3vfE9uRL/HtsJagHL2X54jZtHET5sYVc3gKIy4T2Bjiyyn/HVSgUCsWQRQlqRcgob3QK6sTeBbUU3BWN3oteuW9fYj0rMbrTWBQKRZhRuQ9qDoEhUhiS+ZOOgloZkw0u5CKIv9K9JXoDTLpQbMuFHIVCoVAoekEJakXI8Fb0ZjijyNXNFuyOvie9ZpudulareG58ZK/7usS6ilArFOGJFDVjl/k3EgmihtpggvZ6qDvq32MrAkugBDW4MyH2fwx2q/+Pr1AoFIohhRLUipAh06z7ilCnxprQ68Du0Khp6buVSVWT2Mdk0JMUE9HrvlmJKuVboQhrpDnU5Iv9f2yjCTKnim2V9j24CKSgHrEYYtKgrQ6OrPb/8RUKhUIxpFCCerBTvhvWPAKvXQtPnwnbXx4UqYtWu4PqZiF8M/uIUBsNelLjhPCtbOxbUFc490mPj0TXR29SmfJd2dSOw4vod8jRNNj6Ajx9Brz+HVj7N6jYG+pRKRSBofYwVO0X7a3GB6iFkaqjHnw0lonWVjo9ZE3z//H1Bph4vtg+8In/j69QKBSKIYXqQz2Y2fE6vHcbaA73fcc3we634MK/Q9Lw0I2tD6qazGgaRBh0pPbSg1qSmRBJVZOZyqZ2oPde1FVN7a7n9EVGfCQ6HVjtGrWtFtLi+n5OyKg9Ah/8CI6ucd+370P46ndw+dMw5dLQjU2hCAQHPxO3wxdBdFJgzqEE9eBDGpKlTwRT78aT/WbCubDtBfEZPO8v0MfirEKhUChOXFSEerCy7b/w7q1CTI9eCmf9Dk57QPRpLfwKnloGrbWhHmWPyBTrjPgo9Pq+JyqZ8dKYzPsIdV+Rb4AIg57UWCGiy8M57bu5Ep5eJsS0MRpO/yWc+RCMPBkcNnjrJtj5RqhHqVD4FxkdnHBu4M4hBXXZDnA4et9XER4EMt1bMupU8X3aUASVKgtIoVAoFD2jItSDkZ1vwgd3iO2534Pz/gp659rIlMvg1W9DTQF8/ku45LHQjbMXKrx0+JZIYzJvnL7lPn0ZkkmyE6OobjZT3tDO1Jzeo98h49P7obUG0ifB1a9Aymhx/6Lb4cM7YftL8M73hcGS7KOqUAxm2hvh2DdiO1Dp3iCinMYoMDdCbaFow6QIb4IhqE0xQlQXfAYHP4XMKYE7lyI8+OgeMDf1sVOXAIBO1/k+nV7cp9M5t+WPQZSu6A1giBDf1YYIsUAeEQURsRAZL35iUiAmVdTxG/vO4FMoBj3mJhE4aquDtnowN4ClFaytYGsHm1n8OKxgt4lAkmYHh10EFjWHKInUHIDmLH3tUMbZsRQ2YRic+Ru/vwQlqAcbzVXwvx+L7fm3wrl/6pyKljYWLn4Mnj0L8l+CGd+GUSeHZqy9UO6lIZkkwxmhrmzqO0It98nwIkINIpK9q6QhfFtnFXwh0vh1erj0cbeYBvHlfOE/QR8BW5+Dj++FUaeIL2SFYjBT+KX40kwdB6ljAnceg1GIpZKtULFbCerBQPlucZs1PbDnGX+2ENQHPoWTfxzYcylCz94PoLU61KPogE70RE/MFdfA9IniWpU7T33HKwYfDjtUF4hssPKdUFMofFIajoO1JXjjSJ+kBLUCWPFLaG8QRixn/8FzXdfwBTD3JtjyLHx0N/xgHRjDqza43MuWWRKZvl3pQ4Tam5RvcDt9h2XKt6VViGSABbd5jsjo9aLGr2gDVO2DL38jaugVisGMrJ/2d+9pT6RPFIK6uiDw51IMDHMTNJWK7fTxgT3X+HPE9ff4Zmiphti0wJ5PEVpOfwCsnuYBHgxLXREvzcO25o6WyR+HTQgKhzO6Zre4o25WZyTO3CQyc9pqRUaa5oDmcvFTsqXz+TMmw5jTRYu33Lmqxl8RnrTVw/6P4NAXcHiliED3RESsyMyIToTIBOGPEREjfoyR7qwOvdGd7SGzP1wZIc6MkU63dN6ODsxilBLUg4kja2DHq4AOLnhURFZ6YtmvRA/NmkOw6UlY/KNgjdIrXBFqL0WvTN/2JkIt22Z5n/ItnL7DMkK94d9QfwwScuC0n/e8nyECLngEnjsXtj4PM6+FvPlBG6ZC4Vccdij4XGwHsn5aIqPSVQcCfy7FwKg+KG5jMyA6ObDnSswRi9flu8TnceY1gT2fIrTMvSnUI3DjcAhR3Xgc6ovF575yn4ju1RSIuv7KvbD+X5CYB/Nuhrk3QlSYlq0pTiyKNsLmp2HfByJlWxIRC9nTRXZR+niRcZk0QmRiRMaFbrx+QAnqwYLdCh87U87m3iRWJHsjOkkIsA/vEgJr0R1htYIpxWumlynfMtrsSw21txFqX44dVBwO4TILwoQsMr73/UcshpnfEan+H90Dt64WK3gKxWDj+BYxmYxKhLwFgT9f2gRxW60EddhT5RTU6ROCc77x5wpBffBTJagHwOrVq/nLX/7C1q1bKSsr49133+WSSy7pcf+VK1dy2mmndbu/rKyMrKysAI40TNDrIS5d/HTNTGuugmNrRdDkwCfQUAxf/ApW/xUW3gYn3Ss8ABSKYFOaLzrPHFrhvi99Eky+CMYsg5w5vQcDBzHK5XuwsOddMdmLSYNlD3r3nKmXi9WgmkNQtD6w4/MRGaHO9lpQi2hzVZMZey/9os02O3Wt1k7P6QsZJS8Lt5TvI6ugvggiE703GjvztxCVJGpB930YyNEpFIFDRqfHniGyLwKNFGfVh5TTd7gjI9RpAU73lkhDvENfiYVtRb9oaWlhxowZPPaYb0apBw4coKyszPWTkZERoBEOIuLSRZvMy5+GnxTCxf8WosXSBKv/Av9eCAc/D/UoFScS1jb45Gfw5KlCTOsMIsBz81fww/UiwDd8wZAV0xBEQf3HP/4RnU7H3XffHaxTDh00Db5x1sQu/IH3/Vgj42Gqszfxtv8GZGj9QdM0n2uoU+Mi0evAoUFNS89p3zLd22TUkxjt3URcGqNVhJug3u78m02/AiKivXtObCrM/77Y/ubvnZ0NFYrBwqEvxO3YM4NzvqQRoj7L1iaiPYrwpTrIEephM0XNnaVJ1FIr+sW5557L7373Oy699FKfnpeRkUFWVpbrR69XcaBORETBrGuFaLnyv5CQK8rEXrlCCBy7LdQjVAx1ynfBk6fBxsfF79OugDs2iy5DuXPCKjs2kATlyrR582b+85//MH16gB05hyqFX4qIY0QszPueb8+ddZ243fueMLsIA+pbrVhsIgqU4WUU2aDXkRbnrKPupRe17EGdER+Jzst/Yimom8w2ms1h8uXTWgv7PhLbs77j23Pnf1+0ASrd5m47pFAMFlqqRZ0gCNOdYGAwQorTSVwKNkV4Iuvcg+XGrjfAGGfq8aEvg3NOhYuZM2eSnZ3NmWeeyTffqO+zHtHpRFrt7RtFiR8IgfPyt3o3glIoBsKhL+CZs4QhbmwGXPuWyJwIZGeOMCXggrq5uZlrr72Wp556iuTkABuIDFVkdHrO9b6bsOTNF6lx1lbY/bb/x9YPZGp1aqyJSKP3Nb7e9KKu9LEHNUBcpJG4SJGGEjZO37veBLsZMqdB9kzfnhuX7q71k58dhWKwUPg1oInPfnxm8M4rHaOVMVn4YrOINivgrnsPBmOWidtCJaiDRXZ2Nk888QRvv/02b7/9Nnl5eSxdupRt27b1+Byz2UxjY2OnnxOOyDg4+/dw5YvCHfnw1/DsOdBSE+qRKYYae96FV74t9MXopSJLYlyQssrCkIAL6ttvv53zzz+fM844o899/XExXFdYzbGaIPYzCzSl2+HIalGPsPCHvj9fp4NZ3xXb28Mj7dtX0zBJphe9qOVjvh7blfYdLsZk8m81+7v9S5dZdAegE7WoFXv9OrSQUl0Ax9aFehSKQCJFy9ggRaclsiZXRajDl7ojoNnBFA8Jw4J3XpkpUZqvhEmQmDBhArfeeitz5sxh8eLFPPvssyxevJi//e1vPT5n+fLlJCYmun7y8vKCOOIwY/LF8L3PIX4YVO0XkWpzU6hHpRgq7HkX3roJHFZRz3/Nmyd8W8GACurXXnuNbdu2sXz5cq/2H+jF8JHPD3DNUxv56+dDaEK0QdYkfAuS+vnlMONq0Z+tZKtovxBiXPXTXhqSSTK8cOPur1iXtdxhEaGuKRQ1KfoIUYvSH1LHiPQvcNe1DAW++LVoDbb6r6EeiSIQaBoUfiW2ZVQwWLicvofQ98dQo2O6dzDr8hKyIWMKoImInyIkzJ8/n0OHDvX4+P33309DQ4Prp7g49POdkJI1Da57T3gAlG6DV6/uoc+2QuEDJdvg3dtEn/TZ18Hlz4DRFOpRhZyACeri4mLuuusuXn75ZaKivBM3A70Ynj1VtFL4cEcpe0uHQKpPewPsfV9sS6Op/hCXDrnzxHYYpKxJ0eqr6JVp3BVe1FCn+5Dy3XEsYdGLWhoyDV8IMQNoQD//VnG7+x2wDIGsjZKtsP8jsTg08YJQj0YRCCp2Q3OFSFUcvjC451Yp3+GPbGsWLIfvjsiMCVVHHTLy8/PJzs7u8fHIyEgSEhI6/ZzwpE+A77wNpjg4ugY++3moR6QYzDSWwWvXiN7S486CCx5V7VmdBExQb926lcrKSmbPno3RaMRoNLJq1Sr+8Y9/YDQasdvt3Z4z0IvhlGGJXDBdXGwfWTEEJkW73xEf2vSJonfbQJDRnjCYDPjaMksiRW9VUy811E39E+tyLGERoZZ/o7EDjNCNWAzJo8DS7F6YGcx89TtxO/3bkDExtGMZxLRbu197wwb52R95Mhh9WxQbMKlOk6u2WpXWG65UF4jb9BAIalcd9Vdh2z3BYnPg6KWtZChpbm4mPz+f/Px8AI4cOUJ+fj5FRUWACKhcd911rv0fffRR3n//fQ4dOsTu3bu5++67+eqrr7j99ttDMfzBTc5suPIFsb3lGbfhqULhC3YbvP4daCoTuuTyZ5SY7kDABPWyZcvYtWuX6wKan5/P3Llzufbaa8nPz8dgCMwf4Z4zx6PXwRf7KtlWNMidDbe/JG5nfWfg6W1SnB1eFfI2Cr62zJJkJvQdoZYO4N72oHYdOzFMItQ2s1hFhoGnvOp0op0GwPaXB3asUHN0rZjI6iNg6U9DPZpBya7jDSxa/iXn/2NNqIfSM4V+WkzqD6YYSBwutquHwILsUMSV8h1EQzLJ8EUic6K5HCr2BP/8XvDm1mKm/Oozfv1B+I1vy5YtzJo1i1mzZgFw7733MmvWLB588EEAysrKXOIawGKx8OMf/5hp06Zx6qmnsmPHDr744guWLQvBtWEoMPYMWHyn2P7gDmgoCe14FIOPdf+Aki0QlQhXvwpRKgOkIwHrsB0fH8/UqVM73RcbG0tqamq3+/3JmPQ4vjUnlze2HOevnx3glVuCnDboL6oOiA+uzgDTrxr48YbNEg7hbXXiuP1Ip9xb2sgD7+2ivtVKu9XO2Iw4nrpuLlERvi2OuOqcfa2hdpmS9R2hlvt6S5YX9dk90Wqx8b3nt3C0poWoCAPJMRH88fLpjM+M9/lYFK0XjolxmaL+aaDMuBq++j0cWyvccVNGD/yYwUbT4MuHxPac6yF5ZEiHM1jJSIikrKEdvU5EqX39vw04llYo2iC2g9Uuqyvp46GhSFx/RywOzRgUnnE4OkSoQyCoI6Jg5EnC6LHwK8gK3Dymvxwsb6LNaifSGH69mpcuXYrWS2T/+eef7/T7fffdx3333RfgUZ1gnP5LsWBfuh3evRWu//CE6RGsGCDVBbDyj2L77OWDcy4ZYMLvqusH7lw2DpNBz7rCGtYWVId6OP1DRqfHnw1xGQM/nt4Ao/vfS9Pu0Pjp2zvZXlTPkeoWyhraWVNQzbPfHPH5WG4nbl/rnMX+VU1m7B7S2sw2O3Wt1gEduz+C+snVh1l/uIayhnaOVLewraien729s9fJQ4/Iv82Y0/3zRZeY6+6hmv/KwI8XCgpWQPEGMEbDKT8J9WgGLRnxkSRGR+DQ4FBlc6iH052i9WC3QEIupI4NzRiUMVn40lgC1hbQG0O3qDZ6qbg9sio05++D/eXCxblfi7mKoY/R5DSQihbCes+7oR6RYjDgcMD7d4hWrmOWuduyKjoRVEG9cuVKHn300YCfJzc5hmsWiNS9P3+2v3/CJpTYbbDzdbE96zv+O65Mo+yHMdkbW4rZVdJAfKSRl763gJ+fJ2pYH/+6kJrmnlOwu2KzO6hrtQCQFueb6E2Ni0SvA4eGx3PKdG+TUU9idIRPx5ZjqW2x+PR5qWxq58nVoi/qry6czIs3zSfGZGBbUT3vbu9HSpV0OB7bd5s5r5GfofxXwRHG9bOecDjgy9+I7QXfh/is0I5nEKPT6ZiQJSbaB8rDsH2KFCmjTw1d1CTNWUcdQGOypnYrNz2/mR+9up2DFWH4d/CRdqudp9cc5uJ/rWXF3orAnUgucqSMAYNv13e/MepUcXtsneiJHUZomsYB5+dJ/p8rFN1IHQMn3S22VzwI1raQDkcxCNj+oghqmOLgwkdVVkMPDMkINcAdp48lxmRg5/EGPt1dHurh+MaRVcLpNiZNuOj5C5lGWbLNJ9OdhlYrf/lMTDDvOmMcJ41L4+aTRjNlWAJNZhv//KrnNhZdqWu1omni/zE5xjebfYNe5xK+nnpRy/sy4iPR+fgPnxIrxmK1azS2e19j/rcVBbRa7MzMS+KGxSM5ZXw6d5wuomvLP9lPs9mHevXGMuFyjM6dTeAPJpwval4aj4so4GBi99viPYlMhCV3h3o0g56Jzol2WAq5w05BLUVLKJCR8TrfM2+85ek1R/hqfyUf7ijl7EdXc+/r+eFtFNcLn+4u45Q/f83vPt7HjuMN/PzdXbRZAvRaasXCZciyFwAyJovvZWurKJ0KI6qazNS3WtHrYGxGXKiHowhnFt8pMoEaimHdv0I9GkU4Y21zp3qf9gAkDQ/teMKYISuo0+IiuflkkeP/l88PYLM7QjwiH9j7nridfJF/V+IThokJgY+9NP/2xUFqWyyMy4jj+sUjAdDrdfz8vEkAvLThGEeqvWvLVNMiRG9KjAmD3vdVLtkOq8qDoJb3+doyCyAqwkB8pLAU8DbiXlDRxOubhYnKA+dPcon47500ilFpsVQ1mfnnlwXeD0JGp4fNhNhU75/XFxFR7jZTe97z33EDjc0CXzudvU+6a2AtxBSAOxV0f7hFqFtroWyH2B4dQkEtU4nriwKSzVHXYuGZtUKszx6ehKbBO9tLXPcNJhrarNz5Wj6VTWZykqLJTIikqsnMC+uPBuaEdc7jhtJDQa+HUaeI7cMrQzcOD8j/6ZFpseHnj6AIL0wxcKYz82vtI9BYGtrxKMKXzU8LV+/EPJj3vVCPJqwZsoIa4JaTR5EcE8Hhqhbe2no81MPxDrvV3dJg8iX+P76MUh9Z7dXuDa1WXt54DIBfXTiFCIP7I7NkbBpLJ6Rjc2g8ubrQq+PVNIs0udS4/jWBl5Hk2pbu6XYylTw1tn/HlmOq8XBsTzy+qhCHBmdPyWTeSLfYizQaePCCyQA8v+6o91Fql7t3AAyZ5Gdp3weDJ+172wtiEh2XCQtuC/VohgQTwzXl++gaQBOtOEKZ1p8wTDjJO2yiZtfPPLG6kGazjcnZCbx122IeukQYW32QP/gmtJ/tLsdiczAuI46v/u9UfnK2KAN6YlUhTe1W/58wHAQ1uBd8DodXHbX8n56o0r0V3jD1cshbKLIt1jwS6tEowpH2RvdnY+nPgt/KcpAxpAV1fFQEt58m0sMe/aIgcKlo/uToGtEHNSYNRizx//Glu3fJVq92/2JfBVa7xoTMeE4al9bt8ZuWjAJg5YEqr2qPq53R39TY/v1jpvYiqOV9Kf0W1GJM3kSoHQ6NVQeqALjR+R50ZOmEdEalxWK2Ofh6f6V3Azi+WdwOX+Td/r4weqlI+26ucDsphzPmZlj1J7F96n1gig3teIYI452T7fLGdhpaAyB6+ks4pHuDMG+UKW11x/x66MrGdl5YdxSA/zt7PHq9jotmDMNk0HOgoon95Y1+PV+geX+HWHC4ZFYOkUYDl8wcxuj0WOpbrYGJuNc7/x6hFtTyM1qyRVynwgRX/XSmamWj8AKdDk5/QGxv/y80V4V2PIrwY8O/hR5JHQfTvx3q0YQ9Q1pQA3x30QhykqIpb2znuXWDIK1Oui5OuhAMAehqljtP3FbuBXPfUapPdpcBcM5Uz1Gj+aNSMBn1lDW0U1jVd9r3QCPUyVJQt/YsqJP7K6idz6tu7jtCva+8kZoWCzEmA7OHJ3d7XKfTud4z+R72Smst1Dhr0XPmeD9obzGaRC01DA5nz/X/gpYq0Zph9vWhHs2QISEqgmHOdnUHwqmOuqMhWaiRgk1GRP3Ek6sP0251MGt4EqdNEJ0bEqMjWDohHRhcUerKpnbWFwofjotmDAPAaNBz75njAVEn7tcotaa5FzhCLahTRkHSCJHFcGxdaMfSARmhnpCl6qcVXjLyZDHfsLXDpv+EejSKcKK9EdY/JrZPfyAwemSIMeQFdaTRwI/PEl/yj68spM7LdN6Q0DHde8olgTlHfBYkDgfNIczJeqGp3crqg6Lt2HnTsj3uExVhYL4z3XltQd8rnLKG2leHb0mK08is1oPodUWofTQ7k7gj1H1/RmQ7tkWjUzH10PPzvKniPft6f1Xf2RHHnQY3qWMDVyssP1PhnvbdXAnf/ENsL3swdI6+QxS303eYREQbSsRikk4v+vyGmgAJ6q+cmSq3nTqmk2niRTOFIP1wZ+mg6Ujx8c4yHBrMGp5EXkqM6/7zpmaTlxJNs9nGlqN1/jthWx2YnZ/XcDDFkQs/YdI+y+7QXEaDE7JUhFrhJTqd2+xz05NeBVkUJwg7XhXX3LTxMOniUI9mUDDkBTXAJTNzmJSdQFO7jce+9t6ROui40r1TYUQAJ5a5c8Xt8U097rLuUDWX/XsdFruDUakxjM/sedVbpoKv8aLntytC3c8ockpc3xHqfqd8x8oa6r5TvuVr9ZQGL5mak0BucjRtVjuXPLaWjYd7cVaXf4vc+d4P2FdGnybcssM97XvVn0W/2Zw5gfEROMGRE+6wMSaTomTYbFGWEGoCIKirm80cdho3LhzV2XBw2cRMYk0Gimvb2F5c77dzBpIPdohouoxOS/R6nev1bT5a678TStf1+GxhshhqRoVXHfWxmhbMNgdREXqGd1jgUCj6ZOIFIqW3vQG2Ph/q0SjCAYcDNjozFuZ/X5gxKvrkhHiX9HodPztXGKa8uP4YxbWtIR5RD+x9X9xOuiiw6RV5TtF23HPbj8/2lHPDc5spqBT1YQ7Ns6u25KSxQlRuOFyDxda7m3q1K+V7gBHqgNRQOwV1HxHqdqudTc7J4sm9COryxnZkwOlARTPXPbup53pqWT8tFzsCgdEEE51p3/KzFm7UFMLW58T2mb9V/Q4DgEwJDZvWWUecZnzSPTnUBEBQy2jthMx4EmM6Z1xEmwycOTkTGBxp30U1rWwvqkevg/Ond89ckgaNW475MUIdLoZkEimoK3aJcp0QI/+Xx2XE96t7huIERq+HJXeK7fX/BrsPrT4VQ5PCL6G2ECITYMbVoR7NoOGEENQAp4xLY8nYVCx2B3/9/ECoh9MdhwMOfCq2J10Y2HPJOurjm6FLiuF720v44cvbsNgdLi1zrLaVi/71TY9u1ZOzE0iNNdFisbO9qPdJlIz+DtTl21Pqvr9Myar7MCXbdKQWi81BdmIUY9I9R+4bWq1c9K9vKKlvA0CvA7PNwS0vbuHjnV1qqh12OO40icsLYIQa3J+tA590+9uHBV/8WtQmjjsrPNJ/hyDStGh/eVN4pBgfXStuR50c2nFIAiKoheiaO7K73wLAxTNzAOG3EBZ/k174bE85AIvGpJIR3z1aPMf5GncU12O2+am0JNwEdVy6cKQHOPZNaMeCO9tkgnL4VvSH6VcJI9ymUjj0RahHowg1G58Qt7O+C5HKk8FbThhBrdPpuP/cSeh08H5+KTuP14d6SJ0p2w7N5WCKC7yQyJoOhkhorYHaw667yxvaue+tndgdGgtHp6BpkJUQybDEKMob2/l4p+foiV6vY4kzSr32UO9p3zL6mzbQtlkBSPlOc6V89x6hlq/xpLFpnWohO/L+jhKqmszkJkeRFmfCoYnIjc2hce8b+Z1Fe9UBsDRBRCykT+rX2L1m9FIwRkFDEVTsCey5fKVog6jv1ulFdFoREMZkxGLQ62hqt1HW0B7awdQdE59FvRHyFoR2LJLkEeK2tdpvLs4yWtuxvV5HFo5OxaDXUdFopqKx75KTUJLvTEs/eVy6x8dHp8WSEmvCbHOwu8RPdfrhJqjB/T0tF4RCiGqZpRgQxkiY4XRx3vZiaMeiCC3VBc5FFR3MvznUoxlUnDCCGmBqTiKXOiMBv/94X3hFAmR0eszpge/1ZjRB9gyx3SHt+7l1R7DYHcwdkczwZFGHdf70YVy3eCQAb2zpuZe3TH1e3Ucddc0A22ZJB+/6Vis2uzu9vM1ip80qoiGBbpu1+qAwXzt5vOcJJcAbW4oBuGnJaJeh28SseKbnJmK2OXhxfYeWPDLdO2d24J0UTTHudMWDnwT2XL6gafD5L8T2rO9CRoAXFk5gIo0GRqWJNmQhd/qWvddz5oRPa7SoRIh2RpLrB946q81iZ3dJA9BzhDraZGBchogEhN1ibxd2ltQDMD3Hc727Tqdj7gjxOrf4q446XBy+OyIFtSxZCCHy/3h8phLUin4y67vi9uCn0FQR2rEoQoesox9/tuiyovCaE0pQA/z47AlEGvVsPFLLF/u87A8cDKS4mXBecM7nqqMWZlhN7VZe2VAECBdaWSO8eEwql83KwaDXsfVYHYcqPU/AZbRi1/H6HvvbtlnstDjdrvub8p0UHeFKRa9vc59HRqwjDDriIvsnSuWY6rqI9Y5UN5td6XVLxqR63GdPaQO7SxoxGfRcOiuHRaPFfpuO1HLrKWMA+O/6o27nb5ch2bx+jdtnJpwrbuUiTjiw9z2xsBARC6f9PNSjGfLI1ND9ZaEW1M7oXril9/sx7Tu/uB6bQyM7MYqcpOge95vmFKi7nOI7HKlrsVBcK8pYpvQgqMEdid/sL6fvcIxQS+PQyj3Q0ovhZIBpt9o56jS8UxFqRb/JmChMUTU77Hgl1KNRhAK7DXa9KbZVu1KfOeEEdU5SNDedNAqA5Z/sw9qDcAoqDcehfJdIdR13VnDO6XL6FtHR1zYV02S2MSY9lik5CRytaUWng7kjU8hIiOI0Z6/UN3uIUmclRjEiNQaHJgSlJ2T9tMmo77foNRr0JEYLU5+OxmR1HdK9e0rD7ovkGJNLrHtKKQfYdVy8tnEZcT0aq8n36MzJmSTHmpg/SkwuD1Q0MX9UCnkp0dS1Wnlzq4hiu7IEgiWox58jbku2ihZVocZmFrXTIMxR4j33PFf4j0nh0DpL004IQS2jtHNGJPd6bZqeKwTqzuPhK6il2B+ZGuO6DntCRuK3HqsdeCaY3Sq+I0H0fw4X4tLdJTohrKMuqGjGoYnvvvT4AGe3KYY2s68Tt9v+G54eK4rAcmSV6AITnQJjzwj1aAYdJ5ygBvjB0jGkxpo4XNXCKxuLQj0cYRAFYnUw1nPU0+/I9kzlu7G2N/PsN6ItyS0nj2bTETEBnJyd4Jo0XTk3D4C3t5X0uAgxydmOZ2+Z50m6q356AKIXOtRRdxDUsu45uZ89qAEMep3LRbwnp2/52iYP89zrs91q593tJQBcMTcXEKnkMp1z67E6bj5JpNE8veYI9tZ6qNovnhwsQZ2QDdkzAQ0Ofhacc/bGpieFcInLgkV3hHo0JwRh0Tqr/hg0FIM+InzqpyV+FNSb+6iflkzLTQKEaA2rcqQOSEEtx9oTU4YlEhWhp67VSmFVy8BO2nBcRM2MURCXObBj+ZswqKPe71wUm5AZP6DvVYWCKZcKH5/aQji2LtSjUQSbna+L26mXidJQhU+ckII6ISqCe84cD8DfvjjYY4py0DjoTL2dcE7wzpkwDGLTQbOzbv1ayhraSYuL5JJZOWx0CuoFHfqlnjYxg7Q4E9XN5h5bP0mR2aOgdkaoU/qZ7i3x1DpLRqj7m0ou6at1lktQZ3sW1Cv2VtDQZiU7MaqTac+C0WIyvfFIDVfMzSUpJoKi2lY2b3TW3yXkiohHsJBp3wdDnPbdUg2r/iK2lz14QjlKLl++nHnz5hEfH09GRgaXXHIJBw4EpwOBTA0trGoOXZaOFCHhVD8t8ZOgtjs0tjkFdU/105KJWfEY9TpqWyyu7gDhhqzv7ql+WmIy6pmZlwT4oY5a/g2SRoRfP9SwENROQ7Jsle6tGCCRcUJUA+x6I7RjUQQXczPs+1BsT/92aMcySAmzb6fg8e15eYzLiKO+1co/vyoI3UDMzXBktdgef27wzqvTQdY0AA7v2gDAtQuGExVhYONhUQ8mRSBAhLMeGOCT3eUeDznJKTL3lnoW1K4e1P00JJN4ilDX+iFCDe6xSfHflX3O1zapB0H9qbOlzGWzczr1A5WLExsP1xJjMnLN/OEAHNkt3nv5twgaMu278CuwhtDpeeUfwdwgnOdPsH6Hq1at4vbbb2fDhg2sWLECq9XKWWedRUvLACN6XpCbHE1cpBGrXePwQCOI/UWaOYVbujf4TVAfrGii2WwjLtLIxCzP1wxJVITBVdu+K0zTvuW4puX2LqjBj/2ow7F+WjKyYx1174acgUJGqFX9tMIvTL1c3O77UPWkPpHY/zFYW4URmSwJVfjECSuojQY9D5wv6p9eWH/UZeoRdI6sBrtFTBbSJwT33E4RF1G1G4CLZg6jqslMYVULOh0sGNU5RVG2xpJtU7oyKdsd9bLYuke9ZNR3oFFkT72oB9oyS9JbhLrVYuNIjfic9CSo84vqAfd7JZGLE/vKG2lotXLhjGEAGJ3vfdAFdfYMiB8mLqChqv+rOgBbnhXbZ/8+/KJPAebTTz/lhhtuYMqUKcyYMYPnn3+eoqIitm7dGvBz63Q6tzFZKOqow7l+GjoI6mPg6H8E/6DTfXlSdnynBbaecNVRh6ExWVWTmdKGdnQ6mNJDyUtH5D4FA3WSD2dBHZsGGZPFdoii1O6WWX3/TRSKPhl5MsSkiraqR0PvYK8IEjLde/pVoEpH+sWJNYPtwtIJGZwyPh2rXeP3/9sXmkEUfilux54R/A9xphBxE3XHmJAZz5j0OFf99ITMeJK6RHtlCt+R6hbqPZh25SRFkxAlol6HKrv3b5XtqNJ6MPPylmQP/aKlidhABbUcm6cI9YHyJjQN0uMjPZq/VDa1U1Lfhk4H07vUGGbERzE6LRZNg81Ha5mYFc+otFgmclTsEGxBrdPB2NPF9qEvg3tuyWc/F7WRE86HUaeEZgxhREODEFEpKZ5rbc1mM42NjZ1+BsJEl6AOQR11fRE0Hnf2n54f/PP3RUIu6AxgN0Oz54wcbyh0XgfHpHtXyjAtJwkIzwi1bP01Oi2W+KieDckk8jUXVrUMrCY8nAU1wIgl4rZofdBPXdVkprrZgk6nWmYp/ITBCBMvENt73wvpUBRBoqUaDn8ttqddEdqxDGJOaEEN8MvzJ2HQ61ixt4JvDgU5ZUvToGCF2A6Fo55TxE3SHePcqRmAqPEFWDi6uzlaUozJ1b/WU5Rap9O507491FFLAZw60CiyjFB3EPW1zX6KUMf2HKGWr6mv6PT4jHiPLuYd66h1Oh3nT05jvE4YmAVdUIP7M1cYAkF98HM49IUwpDrroeCfP8xwOBzcfffdLFmyhKlTp3rcZ/ny5SQmJrp+8vLyBnTOic7P8f4ePA8CijS8GTYr/OqnQUwqk5zv7wDSvqUh19gM7wS1jFCHozGZNCTruljYEyNSYzHodTSbbVQ2eS6h8QrZCzxsBfVicRuCTB8ZnR6ZGku0yRD08yuGKFMuEbcq7fvE4OCnoDlE6V3qmFCPZtBywgvqcZnxfHehaMXx2w/39th/OCDUHhaTBX2ESLMJMo1xI2jXIojVmblkuJjwbDwsDck8R8lmOCd8Pad9i0n6Pg+T9GpnhLqndlPekuzBlMxfEWo5tmoPgnqfS1B7jgTI92RGnuf6QlcdtTML4OK8ViJ1Vpq1aFpjcwY07n4xeqlo1Va1H+qLg3demwU+u19sL/yBuoADt99+O7t37+a1117rcZ/777+fhoYG109x8cD+ZhNdrbNCEKGW4kOKkXAk0SmoGzy3CvSGwirfItTjM+MxGfQ0tFld/Z7DBdnOa1ofhmQSk1HPiJQYAI8ZS14jr01JA1tAChjyM1y+G9rqg3pqVT+tCAgjTxGtk1pr4FjoDPcUQWL/x+JWZiYo+sUJL6gB7j5jHEkxERyoaOLVzUEUFjLVdsSikLgbf3mghv2amKSMtB2hodXKAWe927weBLVM++5JULucvj0Yk/mthjquZ1OylAGakqW40sm7R1Tka+rJ4XuH0wF3Zp5nN18Zod5d0kCL2cZYx2FxXG04Kw/WDGjc/SI62d2qK5hR6s1PQc0h4TJ/yk+Cd94w5Y477uCjjz7i66+/Jjc3t8f9IiMjSUhI6PQzEGQNdWlDe/A7Hcj02OGDQVD37zvB7tA47PTm8FZQm4x614KdvJ6EC7tK6gF3FN0bRrvSvvspqK1t0OrMHEvs+X8jpMRnCSMfNCjeFNRT7ysT39cTlKBW+BODESY5xdWe90I6lEDSbrWz+Wgt/1lVyK/e380PXtrKd5/ZyM0vbOFHr27nT5/u5/38Eg5VNoVdxpDfsLQIc1qAieeHdiyDnO55qScgSTEm7jljPL/6YA+PfH6AC6dnd6sfDgiHvhC3Y5YF/lwe+N+uck53jGCm/jCU72JHhKgFG5Ea02Od88zhQizuKK5H07RufS+l2NxX3tjtcSlS0wbq8t1L26yBtuRK68GUzOHQXLWmngS1w6Gxs1hEcOSiQ1eyE6PJSoiivLGd3SUNLCjfBcBexwi27CrjvGnZAxp7vxizDIo3is/inBsCf77mKlj5J7F9+i8h6sQ10tE0jR/96Ee8++67rFy5klGjRgX1/AlREeQkRVNS38aBiibm97CI5neaKsSCCjoYHmb9pzuS6Mwa6WeE+nhdKxabg0ijnpzkaK+fN3lYAjuONwzczMuP1LdaqGgU1++JPSwoemJMRixf7HPXkvtMg7MkJiIWopL6d4xgMGKxyDg79g2MPytopz1QISPUJ+51VBEgJl8C214Uad/nPwz6oVFSYLbZ+XJfJW9tPc7aQ9UeDXQ9MTwlhrMmZ3LZ7FxX4GhIUPgV2NpFW8LMKaEezaBGCWon1y4Yzssbj3GwoplHVhzktxd7rmP0Gzaz20ExBPXTrRYbqw5WkaWJdHfKd5FPPdCzIASR7mwy6KlrtVJU28qI1M71j2Mz4jDqddS3WilvbCc7UUwkNU3zu8t3bYsFTdPQNHc99UAj1DLlWxqoSYpqW2m12Ik06l115B0prGqmyWwjOsLA+Myeo1Ez85L4dE85+cX1bkGtjeCr/ZW0W+1ERQT5S2vsGbDyD3B4FditYOjbbGhAfPkb0SYrewbM+k5gzxXm3H777bzyyiu8//77xMfHU14uzK8SExOJjvZegA2EiVnxlNS3sb+8MXiCushZP505VWRJhCsyIipFnY/IqOyotFivHL4lHc28wgU5luzEKI/+ED0x1vlaDvU3Qt3oXMxIzA1v59kRS2D7S25vgCBgszs4WCHe157KkBSKfjPqFIhMFBkiJdsgb16oRzQg2q12Xlx/lCdWHe4UjEmLMzF3RAqj02PJiI8kPioCs80hurpUt3Cwoomdxxsoqm3l6bVHeHrtEU4Zn85tp45m8Zi0Xs44SOiY7h3O19hBgBLUTowGPb++aArXPLWRlzYc4+r5w3s0n/ILRetFy6K4rJCsCq07VIPF5qA6YTxYEILaWg/0LqgjjQYmD0sgv7ie/OL6boI6KsLAmPQ4DlQ0sbe00SWoG9ts2BwiZWagdc7y+WabgzarHbPVgfPQLgfw/iLFfovFTpvF7jJ6kYZkE7LiMRq6V0psd6bAT8tN9Pi4ZOZwp6AuqoMK0TKrPHocrc0i9ejkcekDGr/PDJspaqXaauH4FlF+EChKtopJJ8C5fxkyK9795fHHHwdg6dKlne5/7rnnuOGGG4IyhonZ8Xy5v9KVOhoUjjnTvQP5WfMHLkHdvwi1rBse46UhmWR0urim9jtNOgAcdo5Fjs1b5GsvrOzn4kBDB0Edzgx3fpZLt4OlFUwxAT/l0RqRARFjMpCXHPjzKU4wDBEw5jTh9F3w+aAV1Jqm8e72Ev786QHKG9sByEqI4rLZOVwyK4dxGXHdMi270mK2saagig93lPHJ7jJWH6xi9cEqzpqcya8vmsKwpOAsgPsduw0OfCK2Vbr3gFE11B1YPCaN86dl49Dg1x/sCWzNhEz3HrssJKtCKw9WApA9wdnAvamUo0XCTbU3Qd3x8e1OV+uuyNXyjsZk1c507/hI44CjsDEmAyaj+OjWNFtc7uHxUUYiehGz3hAfacTkPEbHOmqXIVkPqXWypnyWl+9dSfFhYfihM5A7fhYAKw9UDWDk/URvEF+aAIdWBO48Dgd88lNAg+nfDu9U3yAhsiu6/wRLTIM7VfRAMHtRyyheOBuSgWidBe4oqY9IETnWy/ppyeg0sf+R6hYcjvCo25MRajk2bxnj3L+8sZ1mcz/cgmV2QGIITBt9IXkkxA8DhxVKtgTllNKQbHxmPHofMiAUCq8Zf7a4LfgstOPoJ9XNZm7971bufWMH5Y3t5CRF85dvTWftT0/jvnMmMj4zvk8xDRAbaeScqdk8du1sVv3kNL67cARGvY7P91ZwxiOr+O/6o4OzxrpoHbTXi6BKnpqTDRQlqLtw/3kTiYrQs/FILR/uLAvciQpXitsxpwfuHD2gaZpLvC2eNBKSRe1mdvshIgy6PutD+jImczl9d3AP9le6N4j2XB1bZ9X5yeHbdWwPddSyfrpHh2/n4sKMPgT1tJxE9DpIbT4o7kgbz0mThPnRygOVAxj5AJA1/IdXBu4cO16F45vBFAdn/Dpw51H4hPw8HyhvCo54a6t3ZWaEtSEZuEVcewOYfY/guxy+fYxQ5yZHYzLoMdsclNSHh9P3YZdbuW8R6sSYCJcfR7/qqKUhXGKYOnxLdLoO7bOCk/a935lVohy+FQFj7JnitmwHNJWHdiw+sulILec8uprP91YQYdDxf2eN56v/O5Ur5ub1mkXYF3kpMTx0yVQ+vvNk5o5IptVi55fv7+Ge1/Nps9j9+AqCgIxOjz9HGNEpBoQS1F3ITY7hh0vHAvD7j/f2b1W9L5qroELUzzJ6qf+P3weFVS0cr2vDZNCzeGxqh37URUzOTiDS2HsEWQrqvaWNmG3dLyCy5+qRDjWANX5qmSWRrbNqWiwu4esPQQ1u0d8xQi0nlGMzuk9e2ix2lzt6X9H92Egj4zPjmaxz9lbNmsaSsWkY9DoKq1oorm31wyvwEfkZLN0emLYvbfWw4kGxfcpPICEE5msKj4xMjcVk1NNisXO8LgjirXgjoEHKGIjPDPz5BkJkPEQ5Ha37UUdd2E8RajToGZEqUnilS3iokeMY7WO0HWBsxgBS2GXKd0KYR6jBXcIQLEFdLts4DiGDJEV4EZcOw2aL7YIAZrD5mffzS/jO0xupbrYwITOe925fwh2nj+tzbusLE7LieePWRfzi/EkY9Dreyy/l0n9/Q1lDeCyCeoXsNBREI8WhjBLUHvj+KaMZkRpDRaOZf35Z4P8THF0tbjOnQWzwTQ1kJHT+qBRiTEa3oNYX9SkIQbiAJ0QZsdgdHPZgnDPSadp1tKbFlQZT3RIY0VvXYvGbIZnr2LGde1Hb7A6KnEJ3ZFr3WrWCyibsDo20OBPZiVF9Hn9mXhIT9UXil8wpJEZHMMfpnr7yYAjSvhNzIHUcaA44GoCek1//QRibpI2HhT/0//EV/cZo0LtM9PZ66B3vd1zp3mFePy3pZy/qmmYzda1WdDrf06TBXat8OAzqqG12B8dqnO2/fIy2g9tkrV+9qBtlyneY11CDMCYD0TrLHvg2dPtUhFoRDAZZ2vcTqwq567V8LHYH50zJ4r3blzBlmPet/nxBr9dx88mjeeXmBaTFRbK/vIkr/7M+NIERX2k4DtUHQKcPSWBvKKIEtQeiIgz86sLJADyz9oj/25fI1NrRp/r3uF6yyinalk5wGmClTwRgnO44M4cn9fl8nU7nilQc9RBByUuOwaDX0WqxU9kkoryyrVWqnwR1cofWWbV+FuvyOHLMpfXtWO0aJqOeYYndzSfkosLo9L7NLUAI6nE650QxQ3zOTnX+LVaFKu1bXlD9nfZdtlP0nQY47y9gDEI7OoVPSF+AfcEQ1EUbxG24p3tLZGTUxzpqWXOckxTtMjb0hQH3b/YjxXVtWO0aURF6shP6XjDsypj+vhZNGzymZABpE0RrL1sblO8M6KkaWq2ucgBf2pgpFD4zzpn2XbgSbJZedw01z6w9wh8/2Q/ALSeP4t/Xzu7X9ddXFoxO5f07ljAiNYbi2ja+/eQGj3PjsEJGp3PmhHe3jUGEEtQ9cPrETM6YlInNofHg+342KHMJ6qX+O6aXtFpsbDxcC7gFtSVlPABjdaXMzPVuJW+0MwrtKSXRZNST5+y7KsWmFL0DdeGWdGyd5W9B7RLrzsj34Wpn+5vUWI/mL650SA/ttDwxMyeW0bpSAOxp4r2Xf4t1hTUe0+gDjlzc8aegdjjgfz8Rke/Jl6hV0DBFTsj3B9qYzNoOpdvE9vCFgT2Xv+in07c73dv3iG7H53nKAAo2h13tv+L6ZX7lcvr29bW01YlOGAAJw3w+b9DR692fa7lwFCDk/2pOUjSJ0QFudag4scmeBbHpYGkS3WnClNc3F/HQR3sBuOeM8Txw/uSgmvXlJEXz+vcXMTo9lpL6Nq59eiOVTe1BO7/PFDoFtfTQUQwYJah74VcXTibSqGf94Ro+2FHqn4PWHoH6ItBHuFttBJH1hTVY7A5ykqJdk7b9ljTMmpEYnZmRhmqvjuNOSfQ8SZK9mo84xaa/07JTOpqS+T1CLSYo8rjyNXjqP93xcW9byowzVmHS2WnRIjlkFiuDk7MTyIiPpNViZ/ORugGNv1+MPEmk/tQU9LvvbjfyX4biDRARC2f/3j/HVPgdtyt/gFtnlW4HuwViMyBldGDP5S+kMZmPglqmN4/tR4o09H19DSb9rQWXyPfgaHULVrvD+yfK9zwmDSIGSVsal6AOrPBwdZ1Q/acVgUavd5uTBbITyAD4Ym8FP3tH+BLdcvIo7lw2NiTjyEqM4vXvL2JUmhDVt7y4lXZrGBqV2W3u4MlYJaj9hRLUvZCXEsOPThf/mA99tI+GNj/URckPce48iOzfZGsgdEz3lunJ+SXNHNaEUZSu6oBXxxnlau3iOY2v6+P+jlDL43Rsm+XvY9e2iL+3S1D3MKHsGMHxBkONeI8LtBzyjzcAIo3+1PEiSh0St+/oZMieKbaPrBr48Vpr3UZkS382OFI2T1BkyndRbWtgTBglxTLde0FIWgX2i37WUPe3b7NkwO2m/EjHkpb+kJ0QRXSEAZtDc3lReMVgSveW5ElBvVGkrAcId9cJle6tCAKyG81hP8wN/MyR6hbueT0fTYOr5ubx8/MmeVV6FyjS4yN59oZ5JMVEsKO4nh+/sSNs2h+6KN0muldEJbpN5xQDJqCCevny5cybN4/4+HgyMjK45JJLOHDAO8EWLtxyymhGp8dS3Wzm4c/9MPYQpnsDrHYKaineAHYUN1CgOSctVfu8Os6oXlK+wS0+u0WoY/2TnpbaIeXb79HvGHf0G3qPUGua1mcEuxuVosanwJHLDqegBncd9ZoC77IE/I4/66i/+BW01Yoa8YU/GPjxFAEjOdZElrM2NqD9qF3104PEkAz6nfJd7HRMH5naP0Et2k2J69CREEepBxqh1ut1DE8RZo4+OckPJkMyybBZYDBBSyXUHg7YaWSEWvaRVygCyqhTxG35LrFYHia0mG3c+t8tNJltzB2RzEOXTA2pmJaMSovlie/MIcKg4+NdZTy5JnDXgn4h66dHL1XtsvxIQAX1qlWruP3229mwYQMrVqzAarVy1lln0dIS+jQ2b4k0Gnjo4qkA/HfDMXYer+//wRwOOOJ0+A6BoC6qaeVoTStGvY5FY1Jd9+88Xs9Bh3PS4hR7fSHFY32r1ZUa3enx1C6C2hntTfaT6E2KEcK8vs3qEr7+jlB7k/Jd2WSm1WLH0GHS2CfORYsCLafT52nJmDR0OjhQ0URFYwhqb1yCetXAoivFm2Dbi2L7/EfAoGr8wh2ZOro3UGnfDkcHQT1I6qehgylZqXgNXqBpGsfrRCQ2N7n/qcrSHfxwD1lAwUJGqPtbDw7u90G+L17h6kE9iAR1RJQ74hOgOmq7Q3O1aVQp34qgEJ8J6ZMAzT2HDQN+/u4uDlY0kx4fyb+vnY3JGD5JtwtHp/Kbi4R2+OtnB9jVIXgScmT99NgzQjuOIUZAP32ffvopN9xwA1OmTGHGjBk8//zzFBUVsXXr1kCe1u8sGZvGxTOHoWniH9jmSx1YRyp2i6idKQ5ygp9mseaQiE7PHp5MfJQQOS1mG4eqmjtEqL0T1NEmA8OcLaI8RallhLqothWb3eF347CkaHGc+lYL9U6xLkX2QHEZnrVaaLfaXW6qngS1jN7kJUd7fzF3Lloc1HI5UN7kqrFJjjUxPUeYwoUkSp23AIxR0FwOXqb+d8NuhQ/vEtszvzN42iOd4LiMyQLl9F19ANrrISIGsqYH5hyBIGEYoAO7WbR+84KaFgvtVgc6HWR76ArgLTJdvLA/7ab8RH2ru6TG6wwcD7gFtQ8R6sGY8g0Br6M+WtNCu9VBVISeEf3MgFAofCZQnUD6ycc7y3g/vxSDXse/r51NRj86EASaq+fnce7ULGwOjbte206rJbTlOwC01UOJU4PJVH6FXwjqck5Dg1ihSUlJCeZp/cIvzp9MQpSR3SWNvLD+WP8OcnSNuB2xOCRRO5nuffI4d+/rPaWNaBrUxzpNgqoPeh2JGdVLr9TshCgijXqsdo3CqmbaOohGf5DcwTisyVlj6K/otzxOQ5uVw1XNaBrERxk9tvzyOd3bboWaQwBURY3Gatc4UO6OCp7iTMVfHYp+1BFRkDdfbMvPqq+s+ydU7oWYVDjrIf+NTRFQZC1mwFpnyWhdzpzBlbFgiID4LLHtZdq3FI1ZCVEDipi4BHUI269IZ+6shChiI/ufGpib3I+Ub2mOKLMEBgtSUBdvDMjh5f/ohKwEDEF0MVac4MhOIP7wWBkgNc1mHnx/NwA/XDqGeSPDU1PodDqWXzaN7MQoDle3uFzIQ8qxb0TnldSxg2+xMswJmqB2OBzcfffdLFmyhKlTp3rcx2w209jY2OknXEiPj+T+8yYB8PDnByit92FiIDniFCkjT/LjyLzDZnew7lANACd3qJ+WKcfJuRNE7Ze1Feq9WzAY7TIe6z7h0+t1LpG5q0QspBj1OuIHMCnriIxQ2ztkJidE+enYzki3pokFBxAtsTzV5hzx1bCn9jA4rGCKIy1nDAA7S9ypQCePE3+btYeqQ2NkMdJZK3V0re/PrT0Cq/4kts/+A8SE55ecojuTskTq6IHypsB87gZj/bTExzpqf6R7Q3i0zpKLpWMyBhYJ7V/Kt4xQ5w3o3EEnb4G4rT4ILf7PNNrvLMuQ/7MKRVAYsQR0BjGHqS8K6VAe/GAPNS0WJmbF86PTx4V0LH2RFGPikStnAvDqpmI2Hw1xDbqc2408ObTjGIIETVDffvvt7N69m9dee63HfZYvX05iYqLrJy8vvL5Ir5qbx9wRybRa7L73pnbY4dg6sR2CD/KO4/U0mW0kxUQwLcfda3qns65jal4KOHsie5v23bU1Vk+PywhscqzJb4YR0SYDkR2iPwlRRowG/3ycIwx6lziXY+8pAn3YZ0Myp+lb2nim5yUBsLO43vXwrOFJxJoM1LZY2BuoaGFvyMWeo2t9q6PWNPj4XrC1CwOT6VcFZnyKgDAqLRaTUU+LxU6xL6LHW2T662Cqn5bICKmPEWoZle0vcpHuSHWzb981fsTnDJwe8DlCbbdBU5nYThxkEeqYFEifKLYDEKV2t8xShmSKIBKVIDKMIKRu35/vKefjnWUY9Dr+8q0ZYVU33ROLxqRy9XyhZ37x7m7f2gf6GxnYG6UEtb8Jyifxjjvu4KOPPuLrr78mN7fnFIP777+fhoYG109xcXEwhuc1er2OP1w2jQiDji/2VfDJ7nLvn1y+E8wNEJkQkhrC1QfFSvmSsWmd0sRk9Hh6bpJ7EuCtoE7vXVCP7CK4Pblw97senc4p3v1NJdc0zeMYZB21FMwj++pB7e2EU763GZPEe477bwBCzC8aI1LyVxeEIO07Zw4Yo0W9qJefAwB2vgGFX4EhEs7/2+Bpi6QAwGjQMz5TCDi/96NuKhdZLzq9aBc42JARauk63Qf+ilDnJEWj10G71UFVs3lAx+ovss1Vf93KJfK9qGoye9eXtbkcNDvojRCXOaBzhwQZpQ6AMZlsmTVRRagVwUamfYeojtpss/P7/4mgxPdPGc203MQ+nhE+3Hf2RJJjIjhQ0cQL646GZhCttVAh+nWrCLX/Caig1jSNO+64g3fffZevvvqKUaNG9bp/ZGQkCQkJnX7CjfGZ8fzgVJGq++D7e2ho9bI3tUyzGLE4JDb1Upyd0qF+uqHN6hKE03ISIcMpqL10+h7TIeXbU5qojGrIFjKy7tnu0PhyXwU3v7CZ8b/4hPvf2dWvCExHE7KkaN/rMjVN4763djLhl5/y/Re38PWBSuzO1yEFupxQeorQWGwO1+Nep3zLCHX6RKY7vwwOVjTRZnFPMk8Z7xTUoaijNppEn2Bwr2T2RUs1fPozsX3qfZA2NjBjUwQU2Y/a75kRxZvEbcYUEeUYbLhSvr1b4HVHqAcmqE1GvcvUrNiX/s1+RJ43z9sOBj2QFBNBrMkA4DJ57BWZDRA/DPSGAZ07JEhBfXyzXw/b0Gp1vX8TB1mEevXq1Vx44YUMGzYMnU7He++91+dzVq5cyezZs4mMjGTs2LE8//zzAR+nohekMdmRAXYC6ScvrjvGsZpW0uMjueO0wTXPSI418bNzxRz7bysOUt4Qgk4uUoekT4S4jOCff4gTUEF9++2389JLL/HKK68QHx9PeXk55eXltLX1o/7YW6oOgiWwNWe3nz6WMc7e1H/4n3d9m0NZP93QamWHM634pHHu+undzshoXkq0EJDpokbc217UOcnRRBh0mG0OShu6/01l1FZeOFJiTWiaxg3PbeJ7L2zhi32VODR4dVMRT/WjT18nQd0PQ7LHvj7Em1uPY3dofL63ghuf28yt/92CpmmuaLocu6wX70hxXSt2h0Z0hIHMhEjvTtohQp2ZEEVGfCQODfaUuqPUpzj/RluP1dFsDoErpFy59NaY7LOfO3tOT4EldwVuXEBTu7XHjAjFwJg8LEDGZDLtNW8QRqehHzXU/kn5Blyt+I7VhEZQywVDr1sC9oBOp/Mt7dtVPz3I0r0lUlCXbANb97aS/UUuduUmR5PYj0XkUNLS0sKMGTN47LHHvNr/yJEjnH/++Zx22mnk5+dz9913c/PNN/PZZ58FeKSKHsmdJzqBtFQJj4AgUtNs5h9fFQDwk7MmDMgkMVRcMSeP2cOTaLHYefSL4L5/gHtOp6LTASGggvrxxx+noaGBpUuXkp2d7fp5/fXXA3PCLc/CE0vgy8C6C0caDfzxcpG2/fqWYtYd6sN4xG5z1xCG4IO85lAVDg3GZcSRk+SOmsj6aZl67E759s7p26DXudp2eBI5Mqrb0ObuQf3xrjLWFFQTadRz80mjuHOZMJRY/sl+vtpf4f2Laq7i5/W/5l3Tg7xrepAf1/5apLN4yae7y/nr5+KC9uMzx3PTklGYjHq+2FfJF/sqXRFqKWhHpnWfUEpDslE9GJZ1o4PDt3yv5Xu/s0OPwhGpMQxPicFq11hfWOP1a/Ib8jN67Ju+PwcFX8DO10U670X/DLiD8/JP9nPOo6t5Y3N4lYMMBQLm9C0j1FJkDDYShonbxrI+d+3Yg7rjtba/SCFbFIIIdWO7lTpnBtZAI9TgozFZY6m4HWwO35LUMRCdItqtle/022EHc/30ueeey+9+9zsuvfRSr/Z/4oknGDVqFA8//DCTJk3ijjvu4Fvf+hZ/+9vfAjxSRY8YI91lO/0xLh0Aj35RQFO7jcnZCVw+Z3C6U+v1On7uNDd+c+vx4AcHVP10QAl4yrennxtuuCEwJ0waDnYL2sYnoCgwLSsk80am8J2FwwH46Ts7e+8vV74DzI0QlQhZ0wI6Lk+sPCBSh5dOSO90/66SegBX72NSRokaWFub107fUjR7cqJNiTUR38F5OzE6gj9/Kvob/2DpGH5xwWTuOWMcV88fjqbBna/mU9noZRrMx/cyvXUDs/SHmKU/xPTmb+CTn3r11NL6Nu59Ix+AGxaP5EfLxvHghZO5+SRRkvDHT/Z1SiFPi4t09e3uyOFq4YAra8n7pPYwOGyiD7kz6iXTvjvWUet0OtffauWBSu+O7U9yZot+wa01vWcrtDe6e04vuA1y5wR0WOsKq3llYxFmm4PclIGLFUVn5CT9eF2baxFswFjboSxfbMuWbIONeKegbq4Q5pK90KkHddLA+6IOTw2doC5yRsVTY03E+SEa5FMvamlIlpA94POGBJ3OvYDkR2MyGaGePAgFta+sX7+eM844o9N9Z599NuvX99zfO5w7xQwZRiwRt9JkNwgU17by6ibhLP7LCyYP6nZxc0emcPrEDOwOjb+tCGKUurnKPZ8bEfxM2ROB8LfH84HHikfypu0UdGho798uJnMB5KfnTGRYYhTFtW389bNe/jFc9dNLgl4P5nBorHLW4p46vnPNhIyKuowd9AbRmw7ckdQ+GN1LL2qdTseIVHdko7CymaJaUf9yy8mjXfv85qIpTBmWQLPZxnv5Xhj/7H0f9n2AAwM/ttzGT6zfx4Eedr0BB/tOB3tn23FaLXZm5iXxi/Mnue6/bekYUmJNFFa1dHI67vgaOiJXF8d4a0gmU6TSxrlMu+R7L9uXSU4dLwV1VfAdfg0Rbjfm3lahv/g1NB6H5JFw+i8COqRWi42fvb3L9fvuDgsQCv+QGB3hiqr6LUpdtgPsFohNh+TePTTClrgM0S5Gs0Nz7wtcUixmxkcRaRz4tV5GqENRQy3PObyH65+vyJTvEm8EtYxQy8WMwYhcQPKjoB7MEWpfKS8vJzOzsyFdZmYmjY2NPZYNhnunmCHBSCmovwlaHfXjqwqxOTROHpfGojGpQTlnIPnxWaKjzoc7S/2fEdYTMt07cyrEDv73MBwZUoL6lHHp/InrqNSS0NUUuHviBoj4qAj+cJmIOD+37ghbj9V53tHV9y34q0L7yhupajITYzIwb1Sy6/6aZrNr8je1Qxst0pw9/aoOeHX8ESlCTPYUdcjrUEe41pkaf88Z4zvVv5iMeq6eL6L97+eX9n7Ctjr4+P8AyB9xPW87TuFN+1L2Dr9WPP7RPSJy2gOapvGe8xzXLBjeqdVWQlQEd54uFhS+OeROtc7rwVyouFa85uHeOuDK91S2J8OdHVBY1UJjuzsquGhMKiaDnpL6NgpD0YdWpn0fWe358SNrYMszYvuif4JpYC7AffHw5wddUbpIo87Vr1vhX/xeR+2qn14weJ3f9Qa303RT79cnfzl8S0JZQ+2v+mmJTynfgz1CDR0i1Jv8IjysdgcFFWLhesqwoS+o+0O4d4oZEuTMBX2E+B+tOxLw05XWt/HmFvF3DPee094yZVgi50/PRtPE3CYoqP7TAWdICeppuYn830UL+IX1RgC0b/4OpdsDes6lEzL41pxcNA3ue2tH95YgDru7dYZMlQkiMt178ZjUThETGZ0enR5LQsd0Zin2vDScyHFOknpybu04GWux2BmbEceVc7vXv5w3LRujXsee0kYOVfbStueLX0NLJaSO4/Ck2113H51+l4iUNpbAV7/r8en7ypo4VNmMyajnnKlZ3R6/ZsEIRqTGdDID62lCKV+z17WS1cJQw7VoAaTGRbqev7tDHXWMyciC0SlAiNK+5eJP0fruk0FLC3zwI7E950bRdzqAbD1Wx7Nr3V/cf7x8+gkRoQkF8n3dW+pvQT1I070lUtj1UUftL4dvibz2VDaZO3UCCAb+F9Q+mJLJ93kwR6iHzRJtv5rKvHaI743CqmYsdgfxkUa/fb7CmaysLCoqOvuqVFRUkJCQQHS059c/GDrFDHpMMe5+1Ee/Cfjp/rOqEKtdY8GoFOaPSgn4+YLFvWeOR6eDL/ZVUFDh51aVnpA+TiMWB/5cJyhDSlADfHv+cJJmX8qH9oXoNDvWt28FW2B7eP7y/MlkxEdSWNXCI11rIip2i/ppU3xI6qdXHZDp3p0jejucKcYzpCGZJH2CuJXirw9ynHWCPQnqrmY21y8e2SkqLEmJNXGKc4wf9BSlNjfDDqeh3QV/Iz7e7bwdF58I5z0sfsl/Gayex/P+DpFSvmxiRueFBCcmo57vLhzR6b5cDxNKTdP6IahlyveETnfPzEsCYMfxzmnM8m+2KhTts7JnOvtR13RfXPniN2JlOiEXzvxtQIfRbrVz92vbkZL+uwtHcOmswWlIMhiQtZn7yv0gqDXN3TZosBqSSeKdgrqpL0EtI9T+EaFJMREuHwqvIrt+pMhPLbMkUgRW9tWL2uEYGhFqU4z7O18a8w0Aucg1KTvBOxPMQc6iRYv48ssvO923YsUKFi1aFKIRKVx0TPsOIJWN7bzqNCC9a9nQiE5LxqTHcdZkkfn09JoAR/pba6Fyr9gerv5/AsWQE9QAv714Kq+k/ogqLYGImgPYvvpjQM+XGBPBcmfq91NrDrP1WAe3aWncMHxh0OunG9utbC0SaehLJ3iun56Rm9j5STJ6Wu1dyvcwp5hsard1SlmWdFxJ1+vgXA9RYcnFM0U04v0dpZ7rhg9+KgzTUkbDyJNI7tAqKznGBGNOFyLP0gwFK7o93eHQ+NAp1uW5PHH+9M6TOE8RmupmCxabMB/KSvTCfEjTOkSox3d6aHoPddTyb7bxcG3vpneBwGhytznq+KV5ZA1s+o/YvugfAe8r/MdP9rv6mE/JSeAXF0zq4xmKgSBTSQ+WN2O19+303yv1x4SRlz5CLNAMZlxO332lfPs3Qq3T6ULm9O3vCHXHXtSlvfWibq0Bh/O7JK7n74tBQce07wEiBfXkQZru3dzcTH5+Pvn5+YBoi5Wfn09RkTCbuv/++7nuuutc+992220cPnyY++67j/379/Pvf/+bN954g3vuuScUw1d0REY5Ayyon1t3FIvNwZwRyUOidror3z9FeAm9u72EyqYAej7JLNnUcRCnyuUCxZAU1FERBv583eks138fAP26R9GObw3oOZdNyuSy2TloGvzfmzvd6XnyghOCNItvCqqxOzRGp8d2ijJomuYSb9Od0VEXqU5B3VoDLX23bIoxGUl29oP2NElKj3f3Z14wKoW0uJ77NZ85OZPoCAPHalq7RWsB2P2OuJ1yGeh0rvOCU1Dr9TDlEnHHnne6PX3LsTpKG9qJjzR2W2DoSHZiNDNz3ZOW7ITuglm+1oz4SExGL/6NmsrA0iTMjVJGd3rIU+ssgDHpseQkRWOxO9hwOATts7q6eZqb4X1nmv2cG2DssoCefvORGp5fdxSAhCgjT1831y9GT4qeyU2OJj7SiMXuoNCD0aBPSBExbCZEDNzxOqTICLXXgto/IhRCU0dtsztc5mE9mTL6ite9qGWdemy6WNgbzPjRmExmjUzKjh/wsULBli1bmDVrFrNmzQLg3nvvZdasWTz44IMAlJWVucQ1wKhRo/j4449ZsWIFM2bM4OGHH+bpp5/m7LPPDsn4FR3IWyDmMvVFUB+YOvV2q53XnM7et5w8ekhmZcwZkcLs4UlY7A7+u967zjr9osg5h1Pp3gFlSApqEGlql15zGx/YF6PHQeOr3+sxDdhf/OqCKWQmRHKkuoU/fbpfRCWlGAlB/fRX+0Xtbdd075L6NqqbLRj1uu7tN0wxkCgMwqjxMu1b1lF7mCRFdRBAp03sWcSCEOdnTREpMO9t7+L23d4Ah5xR56mXiWOb3B9fV3su52Mc/EzU+nbgfaeD+DlTs4iK6F2YLZ3gdhf1JJj7ne6dMqrbJHFabiI6nThmVZO7PKFj+yz5twwq8uJ71Onm+fkvRNQxcTic1XOduj9otdi49aVtAOiAJ6+bS3bi0K8bDDU6nc5//ailiMgd5PXT4I5Q92JK1rEHtT9rXEMRoS5raMfm0DAZ9GTG+28xxKvWWa766UGc7i2Rn/3yXd2+j3xB0zR3hDo7sY+9w5OlS5d6bKP6/PPPA/D888+zcuXKbs/Zvn07ZrOZwsLCwLVcVfhGZDxkzxDbAWqf9eGOUupareQkRXPGpN7njoMZGaX+74ZjgctEPKbqp4PBkBXUACePS6fqlIeo1JJIbDlC+bsPBPR8iTER/PHy6QA8v+4o27dtFJFeY5QwKAkidofmEmFnTOrcekJGQidkxXsWlj46fQ9zCh1PEeoDHcwWJmT1vbJ+3jQxiVpT0KVueP//RPudtAmQMVncp3VcsXSmiA+bLczJrK0iRbwDshZZnqM3Oo71gAfDCPlah3krqKtk/fT4bg/FRRoZmy7qwbumfcu/3Rd7K4PfPsvl5lkq6tK3Pifuv/hf4gs1gNz12nZqWyyAaDGxcPTQS/cKV2QEbMDGZK766XkDHFEY4IpQ91xD7e8e1BLZtiqYrbPkuXJTotH7seerV07fctEioeeynEFDYq747Gh2KM3v92EqGs3UtVox6HWMy4zr+wkKRaAJYB21pmm8sP4oAN9ZOMKj785Q4czJWYxIjaG+1co727xoG+srlhYoyxfbqn46oAzdT6mTm86Yw1s59wGQsfdZand/2cczBsZpEzK4ZoGI8H7+iTPtOHde0FPXthXVUdNiISHK2M0ZURqSTe9qSCZxGZP55vR93IOgXrHX7dJZ39q9xror80eKsRZWtVDnFFSAO4V76uWu9jstHVbz6tuc2zqdSAkHd4o4UNHYzvG6NvQ6mDvS3T6sJ5ra3cf+bE95t8dlhCXH20hUdc+CGtx/i66p7ovGpBJrMlDe2M6uYPdeNsVAzmyx/dnPxe2CH8DoUwN62re2FrNir1gMWjImldtPGxvQ8yk6426dNQDnUUsrlO8W27lDQFC7ItQ9C2p5TciIj/RraUIoItTH/Fw/LfEq5XsoRah1OsidK7blAlM/2Fsmrv1j0mP7zK5SKIKCFGd+7LMu2VZUx+6SRiKNer49b2j3EjfodS4j3Nc2F/Wxdz84vgUcNkjIgaTh/j++wsWQF9Q6nY7rr7+VT0xnoUfD+s5ttDf30C/aTzxw3iSGp8QwwbxL3BGCdG8pZE+fmEFEl9W9HcX1AMzM6yF1zGVM5qWgTuo55Xt9h9rfIi9qAJNjTYzNECvwrr7erbVQ+JXYlinddBbo9a0dxLfcp2AFmIUo2HJUHGtiVgLxHty9u1LcIYLSsSe1RKZ853qd8t29B3VHZjj/FvJvI4mKMHCqM+274+JE0MhbKG7bG8TYz/hVQE9X3tDOz94W/zepsSaeuWHekKydCmdkyvee0ob+Z0WUbhdRufhs8UU+2JHiztLcY5/7Ml/LQLyko6B2OIKTpeJvQzKJzOgpa+hNUMsI9RD43IA77XsAgloubql2gYqwQRruVe0XczQ/8vw6UU988cxhJMcOch8FL7hsdi4mg57dJY3s8uQfNBBku6zhi1zBKEVgGPKCGiA20sjUGx+jhHQyHZXsfOq2gKbPxkYaeeSK6SzQ7wdgg31iwM7lCU3T+NwZVT1zcmeXVIdDY3eJmBD2GKH2tRd1kueU77KGNsob3M6FxV62fZk7QkSQN0u39IIVYoUtc2qnHs4dRXSn6HfmVGGuZjfDoS/EsY6KY3kTnYbO0aCi2laqmzu3XvM55bsHh2/JDJcxWX23z+aZztYKn+8JgaDWOjg9X/oERASujtnhcHDpv7/B5tDQ6+DN2xapaEwIGJ8Zj0Gvo67VSnljP51HpXjInTc0vsQj4yDSuQDZQ5Ravlf+rvUflhSNQa/DbHNQ1eU6FCgCJahlR4Syhl4+V66U7yEQoQZ3hsbxzcKLoh/sKRWT7G6eJwpFqIhNc89n/Bilrm2x8OlucY29btFIvx03nEmJNXGOswPOq/6OUofQGPlE44QQ1AB52RnUnvVP7JqO+Q2fsuKtJwN6vrlJTWTrarFqBu5aa+x9Rd7PHKps5mhNKyaD3hXdlByubqbZbCMqQs+4jB5qsWSf5LpjYO17Qi1FZdde1GsKqjv97m3K4hynoN7qjCpzdI24HXN6p/3qOojouo4Rap3Ove9RcTGR0e65Izunv/dE13rFbw51fi0uUzJvUr7bG92T8A4LAh2ZmB1PhEGImK7pkKdNyMCg13GgosmrKL/fqDsG2553/x4f2JrGH76y3TXR/t0lUxmdrmoFQ0FUhMFV09/vOuqOgnqoIAVeD07fcvHQqzZ6PhBh0DPMWZMdrLTv4gAJ6mzne1PR2N5ztH0opXyDcLnXG0ULuYb+OSLL/8MpwwanIZliiDLcmcEmo6B+4IP8Eqx2jWk5iUzNOXE+79+eL1LbP8gvpcXsJ3Myu1WkfIMS1EHghBHUANMWn8ueMd8DYN7u37J2247AnczpqlcYMY6Kdj0/fmNH0NL1PnemBi8em0pcpLHTYzuKxUr31GGJPRs9xKZBVBKgQc2hPs8nRWVlkxmLzR3R7Cqoi2u9W1SY5xS9O4830G61u1fYRp7Uab/OKd9d6rM7GGa0mG3sdToWy+h3XxTV9rw40GK2uc7nVYRaRqfjMiE6yeMukUaDK51vRxdjsqQYk6u2/PO93eu5A4LDDu/eKlLmI5yTaj9+aXbl5Q1H+XS3zKrI4JoFIwJ2LkXfyH7Ue/ojqDVtaApqKfB6iFDLxaBsPwtq6JD2HaQFNVeE2k8tsyTp8ZHodGC1a9R2XATtyFAyJQOR1ZM1TWz3I+27qd3KUefffbD2oFYMUWQddZH/ItRvbTsOwLfm5PrtmIOBRaNTGZkaQ7PZxsc7e/bq8ImyncKgNyrJHShTBIwTSlADTLtmOcejJ5Ksa8bw/u0cKAuQ0VOxaKSeNXUp0REG1hXW8OSaw4E5Vxdkre1ZXdK9AfKdNbo9pnuDiPD6YEyWGmsi0qhH09xRGodD6xbVLWto6yS4e2JEagxpcSYsdgcHCg5C7WHQ6d2roU46p3x3mZzJuvXKvewuOIzdoZGTFO2VAG6z2LuleK8tqHalYst07/goIwle1GP3ZUgmkWnf+UX13R6T7cSCVke95hEhoE3xMPlicV8AzEdA1I3/8v09gJhwP37tnICcR+E9k4e566h9pqFYROP0RhGdGypIgRfkCDVAXnLwjMka262uBcM8P/bTBhFtT4+LBOhUDuTC0ir8GmDoRKihQ9r3Fp+fKuunsxOjSDkB6kkVgwg5Jyvd5lU2Y1/sL29kd0kjEQYdF80YIgtqXqLT6fj2fGEa9somP6V9O3UIwxeC/oSTe0HnhHuHdUYTGTe8SLsukkW6XXzxzC+6iSe/UCQ+yEkTT+HBC0Wbp79+dqCb6ZS/KWtoc4lmT737thWJ1OfZI5J6P5APxmQ6nc5tTOYUm3vLGqltsSA7rkQYdDg0z621PB1v7ggRka3c5TQjy5oGUZ3TfzpFqNu6RKhj0yBd1K5X7v4a8L5+WtZ6Rzvrd3U6UR9ZWNXc6TX63IO6D0E9a3gS4P4bdUTWUW8+WtupV3VAKNoIK5eL7fP+AuPOdN7v/wh1RWM71z69EYcGBp2O125ZMKRbZAwWpKDe259e1DIKlzUtoDX3QSe+95TvskZxXQhEhDrPGaH21odiIMh075RYE7FdMpz8QXZvddQy+h8R0+16P6iRgrp4k89P3etc1JqiotOKcCN5FMRmiJampdsHfLi3t4ro9LKJmSeEGVlXLp+di0GvI7+4nqPV/e9b78KpQ1wGcoqAckLOXE2ZE7CfJQTD960v8+dnXxWpxf6itVY4HwLkLeDb8/I4b1oWNofGna9tp9lf9REe+HCHmOzNH5lCRkLniV2rxcb+crHaPXt4H+LSZUxW4NV5u9ZRr3VGp6UozYgXUQmvjcmc4jfi+Dpxx4iTuu3TsW66zlNLLmeUOuK4EIJep3s70+vSnWOONYnXINO+AyWo5d9kd0kjZlvnz2NucgwzchNxaPC/XX5KB/JEWz28fbNwaJ5+Fcy82u30Xb7L5Zrul1NZ7Fz71AbX/8NvLp7CmIzA9rdWeMeUbCFmimvbaOi6WNUXxUMw3RvcNdQeUr4dDo2KBrHQlZkQQEEdhAi1PEeen+unJTKCX+7JV0QuVsRnDw0zO4n8XyjfCTbfFkRl2cVkVT+tCDd0Or/VUVvtDt7dLv7/T7R0b0l6fCSLx6QC8MEOzwu3XqNp7qzCLtmdisAwpAR1Q6uVvaWNXonj2IU30Tz6PCJ0dm6rXs4v39zgP+dv+SFOGw+xaeh0OpZfOp2cpGiO1bTyi3d3Bcxl/D3nBeniWd3TZXYUN2B3aGQnRvWd+izrLWS7pz7o6vS9pqDK4+PepixK87DhTc5VT1kT3YEe22ZJnM8Z4TyG14ZkTtGf4zQC0jsndlJQ++7w7RTU6b0L6hGpMaTEilR36cTekYtnijYy7+WXeHdeX9E0+PAuaCgSK8/n/VXcn+jsX6g5BtT6pSMOh8aPXt3GoSqxCnvmpAy+s7Dvuul2q509pQ00tvso8hQ+kRgT4fqf9dmYbCjWT4PblM9DhLq21YLF7kCng4z4QKR8i7+Ftz4UA0GeI88bw8V+IF3Qe41QD5X6aUnySIhJE5G8sp0+PdUlqJXDtyIccdVRbxjQYVYfrKK62UxqrKmbme6JhJznvZ9fMjCdUHfUWXoVAcNm+Wdwil4ZUoJ6zaEqzvvHGiY/+Cmn/uVrbn5hM3/8ZD9vbz3OzuP1nZ3zdDrivvUY5pgsRuvLWbjvD/ztC++isX3iIc0iMSaCv397JnodvJdfyptbjvvnXB0oqGhib1kjRr2O86Z2rz9zpXv3FZ2GDinfh8DRd93zsA69qNutdjY7HbrbnIsbI1JjAe8F9ZRhCeRENDKaEjR07ot2B+rbemibJXFGtSdwjJzIdsZnehf9lGOUYzY76743HK7BYnO4+m175fBtt4oacOgzQq3T6Vx/m+0e0r4vmJGNXgfbi+oDY0605RnY+56off3WMxDVYQLnZ/ORP366jy/2VQIie+Hhq2Z2erzZbGNHcT1vbT3O8k/28b3nN3PKn79m0oOfcv4/1rKhsHtvcIV/mdKftG+bWUThAHLnBmBUIaSXCLWsB06Li8Rk9P/XqowWVzS1d8te6RFNE3WN1nZxHfISuaAY+Ai1B0HdMUI9lNDpOtRRe5/2bbE5KKgUWUEq5VsRlsjoZ/FGr+aKPSGzKy+aOYyIE7js6+wpmZiMegqrWvpXciWRgb1hM4dW6VUY4/8CqRDS3G4jMTqChjYrx2paOVbT6pq0S3KSohmbEcfYjDjGZcQx69S/M+6Tq7ncsJYff/0Mb6f8iMsHmm4iBXUXETh3ZAo/PmsCf/nsAA9+sJsZeUlMyPJfiuv7+eKCtHRCusf6k23O1lGyVrdXkkaAwQS2Nmg8LiKUvSDFZWlDG5uO1GKxOchMiKSiUaS3jXW26PI2ZTHCoOeylCJogMaE8STGdI8u99g2SxKfSWPsSBJajnJpajEGvXcphDJCMzrdLahTYiKobbWyvaiO0noxEfQq5bvuqOihHRHrVdup2SOS+GJfhcc66oz4KJaMTWNNQTXv55fwo2WeW3D1i7Id8On9YvuM30BOF2Ow4Qth5+t+qaN+dVMRT64+AoBeB/ecMY6Pd5ZRUNFMQWUThZXNlPbSpzYpJoKm9sCVTSgEk4cl8PneCt+Mycp3iShcTKrIchhKyP/f5kohUA1uQ8JAOnyDMH6MjjDQZrVTUtfWd0s5axs8tQwqhdkf+gixSCYNBnvBlfLtZ0MyiVc11EOlB3VHcufCwU98MiYrqGzCatdIiDKSG6CMAYViQGRNF54H7fUiozFjks+HaLfaXXP1C6YPsewUH4mPimDZxAw+2V3OBztK+98qT9VPB50hJai/PX84V83Lo7rZQkFFEwWVzRyqbOZgRROFVc1UN1soqW+jpL6NVQfdKcl3GC7n/yLe5KGI57jo7THsPL6Ys6ZkMS4jztnmw4daLmu7cDwEj3ULPzh1DBuP1LL6YBU/fHkrH9xxkl+MXzRN4/0dIhX4ImfKSNfHtzvNyuZ4U0tsMELKGKjaJ1KW+xDUsk9qSV0b65zRw1l5yXy6p5xYk4FRaUKcdu2x3BsnRYg69ILo6XSNdWmaRkMHQd3gKUINFERNZ07LUU4y7vf6vMedEZrxGfEY9TpsDo05I1JYsa+CdYU1rhpq71pmyfrpsV65LMoI9dZjdWia1u2zd9GMYawpqOa9/BLuOH2sb5/NnmhvhDeuF0Jo/Lmw6Pbu+8jFoeNbuomJvtA0jcomMwUVzXyyu4yXN7odLB0a3P/ubo/PS4uLZGxGLOMz412LYOMz40mNNfnndSt6RX6R+5TyLcVCzpyhVQMLEJsusjccNpFKl+heeJX1wFkBqJ8Gkb2SlxLNwYpmir0R1LvfdotpAIcVVv4JJl3U59+l2HmNzksJjICT71F5Yy8R6oTu32GDHrlIWbLV66e466cT1DVPEZ4YjOKzfXSNiIr2Q1CvKaim2WwjOzGKWXlJ/h/jIOOiGcP4ZHc5H+aX8tOzJ6L3MhjUCVdgT9VPB4shJahBTDzS4yNFcf/YtE6P1bVYOFTlFtmHKpsprGzm3w0Xs0i/lyWGPfzL+A8uWZ/GC+uPAZAQZXRGs8WkflxmHOMy4xmWGOX5C650uxAmsRmQMrrbw3q9jkeunMH5/1hDYVULP393F49eNXPAX5bbiuoprm0jxmTgzEmZ3R4/WtNKbYsFk1Hv/YpX2jinoC6AsWf0umtukohmlNS3sfGwENTjMuP4dA8kx5rITfbdVGeCeRcA39gmdhPUrRY7Frs7vajJbMNqd3RLFfrGNpE5fMB457H6QtM01xhzU2JIjjVR1WRmQlY8K/ZVsOFwtWsi6FXEwEtDMsn03EQMeh0VjWZKG9q7RcHPmZrFA+/tprCqhT2ljUzNGaBRjabB+7dD3RFIzINL/u15wp02QbjutjeIKGTObA+H0iipb6OgspkC5/+XXNTqLaKckxTNmIw4xqbHMT4zzvX/lhjjvWhX+B+ZYnqospl2q50op8Fgr5RIQT3E0r1BLIjFZ4u2YI1lnQR1oCPUICLGByua+76GahpsfEJsn/4LmHkt/HOOENhH18Kok3t5quZaUAxchFrWULd1XzSUEeqhlvINzmumDuqPQUu16ETRB3Ixq99RKoUiGAxfKAR10UaYc4PPT/94p1hIO3dqdv/E4xDjtIkZxEcaKW1oZ2tRHfO89P9x0VYn5u6gItRBZMgJ6t5IjjUxLzal24ez2Wzj2NHxtL19LhMtxfzG+AI/d9yKw6HR2G5jW1E927r0Bo6LFEJ7QmY8E7PjmZAVz+TsBJJkSuzwBT1GAtLiIvnn1bO5+qkNvJ9fypwRyVy3aOSAXts720RN9tlTsog2dZ/4ynTvaTmJ3tf4SRFY1bcxWVZiFDqdSI/eWSJSRHOdYjA11uSKdtS1Wmk224jrKypvbiaxuRCA/9UP564uD8sUb5NB7xLW9a1WlzM3iMnh/xqGcyeQ3HhA1HcaI+mNulYrLRZRo5ibHE2qU1DL8W8vqsfu0Igw6Fz9VHulyjdBHWMyMjk7gV0lDWw7VtdNUMdHRXDGpAz+t6ucd7aVDFxQr/8X7PvAmRL6HHhIrQeEmMhbCAWfQdEG6pKmsq+skX3lTRwob+RARTOHKppc7123p+sADeQSSEJ0BI9dM4vZw5MD0ppHMXCyE6NIiomgvtVKQUUz03K9+KzJCHXuEO0lLgV1U2djMncP6sCl5XrdOqtog1j0MkbD3O+J/+npV8HW52DTf3oV1FXNZtqtwlzNa9NFH8lIENfNdquDhjYrSTEdypMah7CgjkoU3wPVB8T/yYRz+nzKXmVIphgMyE4gsu+xD3RM9z5/epY/RzVoiYowcOaUTN7ZVsL/dpX5Lqhlp42U0RDXvX2uIjCcuJX/HYiLNDJlwgSir34eTafnKuNKLtWtZFxmHG/etoh/Xj2LO5eN49ypIg3cqNfRbLaRX1zP61uK+c2He7nmqY3M/O0K1n79MQBrLeP45lB1jy2y5o9K4f5zRZ/khz7a67Fm1lua2q28t12ke1/RQ/23PL5X6d6SdOn03bdZm8moJ80pMO0OjZykaHTOlcbkWBPxUREkOSOOx71pnVW2A53moFRL4UBLLJVNndMDpQlZUkwEidHiuA1tneuoj9e1sb89mVotHp3DCuWeU4s7P0eMLSM+kqgIA8nOyV6U0UBaXCQWu3BdzEyI8m4l1ccINcDsXvpRA1wxJw+At7YW09aDgPWKo9/Ail+J7XOWQ55nV+amditrC6pZbxM121+veJ9ZD63gmqc38tBHe3ljy3F2FNfTYrETYdAxPjOO86Zlcdeycfzrmlm8eetCRqXFusS0Qafj2evncvK49BNaTK9evZoLL7yQYcOGodPpeO+990I9pE7odDpXlNqrOuqWGpHpAN1r8IcK8c4JX1N5p7uDEaGWGTHH+3L63vQfcTv9CvcC2YJbxe3+j6G+uMenSv+I7ISogJirgZgspjo9PjrVUTsc0Ox8X4diDTW4jfpK+q6jdjg0lynRlBwlqBVhTO5cQCcMWJsr+9y9IzLdOyshill5PsxPhzjnTBHfNZ/vqfDd7VsubOSpdO9gMqRms43tVu59PZ87l41jem6S7wcYdQq6pT+Hr3/H7yKe45LKUTz8uYkXbprPhTPcRgkWm4OjNS0crGjiQHkT+8ub2FfWyPG6VqbY94MO/ro3ifw9GzHodUzNSWTR6FROm5DOnBHJGJ1pyd87aRTbiur4365yfvjSNj740ZJ+tVx5Z1sJLRY7YzPiWOTsYdeVrcekw3eS9wd2OX0f9Gr3rIQoqpqECdmC0SnUtQiBm+IUpXnJMdS3NlBc28bErD4mCM469MKI8WAWK/UZE9zvTUdBbbaJSEfXXtT7yhoBHYUR40mxbRXH7CNy5moZ44wGpTgnfnWtFhaMTuHjnWWu19onmuZejPBFUI9I5oX1x7plRUhOHZ/O8JQYimpbeT+/hG/P772+3SONpfDmDaLf9LQrYd7Nroesdgdbjtax8kAl6w/XsLukAYcG83QpvBkJk+wHAI3hKbFMzIpnYlY8E7ISGJ8Zx8i02E5p9+1WO9c+vZFCZ3ssgJ+eO8HrFmZd2Xqsjv+sKuRvV80c9GK8paWFGTNmcNNNN3HZZZeFejgemTIskW8O1bhqOXtFekekjoXoIToxkpHTLk7fFY0yQh3AlG9vItQNJbD3A7E9/1b3/RmTYNQpcGQ1bH4azvyNx6fLBcXcADl8SzIToqhpsVDe0M4kGX1trRH16QBx3cuWhgQ5cyD/Za+MyYpqW2k22zAZ9Yzpq2ZeoQgl0UniGlO5V9RRT7rQ66f+b5e4lp47LUule3fg5HHpREXoKalvY29Zo29lH7Iby3CV7h1MBveMtAuPfH6QL/ZVsq2onrduW9S3cYsnTv4xFK0nqvBL/mN6lAsPP8S9r0fyj6tnuVyiTUY94zPjGZ8ZzwXT3U9tOr6X+KebsekjGT51IVXFLZTUt7GjuJ4dxfU8saqQpJgIzpqcyRVz85g7Ipk/f2sGB8qbKKxq4YcvbeOVWxb6FBnQNI0X1x8F4LsLR3isxW5qt3KwQrTe8KplliTVKahbKkVNRh+T5MyEKHY5070XjkqlsLoZwOU4npscza6SBu8i1E7jltqkadAM+8qaWDrBnboiU76TYkyYbQ6O1bS6BLxkX1mT+xjVW53HvKXX08rJqowGJceK6Hdtq5WFo9yCOtObiXNzJZgbQKf3WE/fE/JvtKekgTaLvVsKv16v4zsLh/OH/+3nhfXHuGpenu/Gea9dK/6uGVPgwkfRgI2Ha3hr63E+31NOY5ea59zkaPJyl+A4ZCSLOnbdM5n4zN5fk83u4M5Xt7P1WB3OjG/OmJTJLSd7/1505GBFEzc9v5mGNit//7KAn5/nu/lJOHHuuedy7rnnhnoYvSIj1Lu9iVB3NCQbqniIUGuaFrQaaujDh2L7f8Ui2YiTIGtq58cW3CYE9bYX4PRfCjOhLgTa4VuSnRjF3rLGzhFquUgRm+6T6eGgwmVMtk1E5HsxqpT/c5Oy4k/oNkKKQULeAp8FtcXm4Iu9FQCcP22IZqX0k2iTgVPGpfP53go+31PhvaC2W93GhypCHVSG1FX6/86ewLScRGpbLHz3mU2uqIFP6PVw+dOQOJwRunIeMT3B/3aV8OsP9vSZdhFfJSI0xtw5/OPaBXzzs9NZ+9PTePiKGVw6K8dVj/jGluNc8cR6lj28io92lPLva+cQH2lky7E6fv3hnl7P0ZV1hTUUVrUQazJw2WzPzqhbjtbh0GBkagwZvrjQRsa53VarD/W+r6YxV7eXqw1fcqXha063fI29XqShyyivK8LSV8oiiAkHwDBhfrWvSz+++jYRjU6OiSDZmUou75PsLXOKAGmgJY/ZC10NeWR0/XhtK00d0vc1h9Z3Go6M7CeNgAjv3/fc5GiyE6OwObQe076vnJtHpFHPvrJGV/aBV2gafHSPiCZGJ2O+4r+8tK2apX9dybef3MBbW4/T2G4jJdbEZbNz+NtVM1j3s9NZ+9PTeeTaheiHzQAgvrL391LTNB54dzef761ApxNiekRqDA9fOaNfBnwl9W1c98wmGtqszBqexN1n+LFl2CDBbDbT2NjY6SfQyC/xfWWN2B19fN6HsiGZxEOEurHNRptVlF5kBsjlG+jmQ+GRI6vF7fQruz82/hxRx9tWBxWey1/cGTqBbdHk7kXd4btALlLIRYuhSOYUMEaJhdaa3r9TZVbIlIH6ZCgUwUC6ScvoqBdsPlpLk9lGWpzJt2DPCcJZMu3buejgFWU7RbvbqCSfMiMVA2dICeq4SCPP3ziPUWmx7gl4D+2UeiUmBa58AQyRnKHfyg+NH/DfDcf4+5d91BLLRup581135SbHcPmcXP521Uy2PHAGr31/IVfMySXGZOBwdQs/e2cXNz2/mSvm5aHTwSsbi/ivM+LsDTI6fdnsXOKjPK/qr3e6bi8c7TkdvFdcad89GJNZ2+Cbf8C/5nLb4R+xPOIZ/hzxFGkrfsT9B67gyYiHmdi2HYA8Z9S3T1OdlhrhhAqkjBXvZdcG9/XOaHRyjMlV51zf6jlCnTLOmfZSfVC0iOqFrhPKWud53tlewp8/db8H/9tdzpl/W80za4/Qbu2hjlm+Zz5e1HQ6netvtd7ZgqwrSTEmLp4pyhBedDrSe8WGx2HHK2g6PSun/4mlTx/lF+/t5lhNK3GRRr49L483bl3E5gfO4JErZ3LprNzO5kTSMbK49y/Nv3x2gNe3iFpNTYOoCD1PfGeOq97dF8QC2UbKG9sZmxHHs9fPI8Y0pJJrvGL58uUkJia6fvLy8gJ+zlFpscSYDLRbHRyuau55R01zr4oPVUMy8BihLmsU14yUWJN3Tuj9PXUHHwqPUWq71b1o6KlVit7gXuw4vtnjOYoD7PAt8diLeig7fEsMEZA9U2z3UUe925ntJbNEFIqwRs4NyvJFFpwXfOk0IzttQoZK9/bAsokZ6HViQdvrDjkuHbLAq1atCv8x5N7t1LhIXrxpPhnxkRyoaOLG5zfRaum5ZU+P5MyG8/8KwP8Z32SpPp9HvyjghXVHe35O8SZx24NNvdGgZ+HoVP5yxQw2P3AGvzh/EunxkZTUt/Hs2iOMcEZwf/3hXtYUVHk8RkeO1bSwwrly9d1FI3rcT4qynuqre0WKQU911HVH4ZmzYMUvoeYQ7bpovrTPYo1uDgybjQEHZxm2smzTzfDRvQxPEJPNPntRu2oxxzFuhDBZO1zV3Em41rlqqE2uSWbHGuqmditFzgvQ2FGjIXE4oImLfS/ICWV6fCQ/fWsnL3XomTwzL4kI50XfoNNxqLKZhz7ay5X/We/qTd0JV/2079HURU5BveGwZ0ENuJzhP9ld5vn8XTnwKXz2cwD+G38LN6yKo6yhncyESH594WQ2PbCMP14+nfmjUlzlDd2Qi0W9COqnVh/m3ysLO923/LJp7lpJH2hqt3L9s5s4XNVCdmIUL94031VCcKJx//3309DQ4PopLu7ZXMpfGPQ6l8Nwr2nftYdF5NMQCZnTAj6ukOEhQi1FYaB6UHek17Tv8l3uyERqD9ecPhbEXII6wDXU0g29Uy/qEyFCDW5jsl7qqDVNc0Wop6qWWYrBQPJI4X1gt4j2sX2gaRpf7hfz12UeWr0qRLnk/FHCb2aFt1FqaUim6qeDzpAT1CAmA//93gISoyPYVlTPrf/ditnWDzfk2dfBnBvRofGf6H8zUlfGrz7Y42pR1Ym2Oqja7xzA/O6PdyE20sjNJ49mzX2n8dNzJhJp1HO0phWjXofdofHDl7dxqLKp12P8/csCHJowqRqfGe9xn4Y2q8uht38Raimou0TnD30J/zkVyndCTBpc+HeuTnie71l/wv8Zfw7f/5obY/7JS7ZlYv8tz7DwqysZoSvneG1r7+nSMsqSM5vMhEhSYk04NFx14OCORifFRJAU3T1CfaBc7JudGCUEWM4s57G39nhaTdMocYr9hz7ax+tbipGyclRaLO/dvoR4Z4R1YnY8D10ylaSYCHYeb+DCf65l3aHqzgfsh8O3RP6tdhyv73FBSJrdWe0a//qqj5T88t3w9vcAjTccy3iw8hSiIvQ8cN4kVv3kNG5YMsq7qG/ufPfxzN0jlq9vLuL3/xP9DyMM4t27YfFILp3l2X2+N9qtdm5+YQu7ShpIiTXx3+8tCFgrn8FAZGQkCQkJnX6CgWzNtrukl+wO+X+VPR2MQ3jBQ4q99gawCPFZHoT6aYnMnCn2tCgpo86583qOTEgnf7n42wGb3UFpfXun8wSKEzZCDR3qqHv+LipraKe2xYJBr2NClufvdoUirNDpOiy4990+q7CqhWM1rZgMek4e13dP9hOVsyaL75zP9pT3sSciU0ym3Kv66aAzJAU1wISseJ67cR4xJgNrCqq5+7V8bHZH30/syrl/hrwFRNqbeSPxX8TRyk/e2snnXT/ccrU5ZQzEen9xiIow8IOlY/jkrpOZNzIZm7NOsandxo3Pb3a5ZnflUGWzq1XWvWf2LNg2H6nFocHotNj+1fd5ilAfXgmvXAXt9WJycOsq2qd/l93V4v2VvYi3t2fxC9v3+Hj6v2gxJhNZs5c3Tb8lw3KMhz8/yIHyJs/CutRdP63T6ZiULSYUezs4DUtTsuSYCJdxWF2LO0ItU8RdUdFhvdRRaxqU76bliz/yK/7DYxGP8rOGh/hVzFv8d0Ex6QhRq2kaLc7axcKqZq6el8eHd5zE1JwEalss3PD8ZjYdqXUfVy5CyPZjPpCXEk1OUjRWu9ZrjfS9Z4m/z5tbiimq6SElqLEU7ZWrwNLMN/Yp/NxyPQtHp/LZ3adwyymjfUtTTcyBhFxhfFTa+b38eGcZ97+zS+wWHYHVrrFwdAoPnO+7eZjV7uCOV7ax8UgtcZFGXrhxPmMzlNNtKJjsTeusE8GQDEQNstEpNp0tnlwR6mAI6t4i1B1T/Xoix9nepv4YNHWOeJQ1tGN3aJgMejL70W3CF9w11CdwhLpityiZ8oCMTo/LiAtoGYFC4VekiPOijvrLfeL6s3BM6qDv2BFIzpwsovdbjtXR0NZHCWv9MfG9pDfCsFlBGJ2iI0NWUINwS37yu3MxGfR8sruc+97aiaMvY52uGE1w5YsQn01G+xFeT3sWzWHnjle2d07L7iPduy9Gp8fx6i0LuXaBuwVScW0bNz63yaMBjYxOnzk5kxl5ST0e11U/3Z90b3AL6tojYLMIw4PXvgMOK0y6CG78BBJz2VFcj9XZo7nZbOOz3WWu1la3b0rhtObfsdcxggxdPa+ZfsenK1dy9qOrWfbwKp775ggWm3Oxo2MtpnNyPsnZYqujMVnnlG93ayvJPpegju90rE6pSDYzrPsX/GMWPLGEuG/+yDXGrznfsImzDVu40fEOJ+34Kesif8Rv2v9Ey74vXZkO7VYHu0sbyUuJ4a3bFnPGpAwsNgc3v7BZRNItLdBQ3Pk99AFv6qgB5o1M4ZTx6dgcmuca//YGtJcuR9d4nEJHNj+03sV3l4zl5ZsXMiI11udxAR7Tvr/aX8Fdr23HoYnJckOblZykaB67ZrbPDrV2h8Y9r+fzxb5KIo16nr5+LtNyh17aY3NzM/n5+eTn5wNw5MgR8vPzKSoq6v2JQUamnO4paez5+ikXV4ayIRmIKEyXOmpprBWMCLVsZ+WxU0KxM0LdQz95AKISRHsbgOOdo9Qy3TsnOTrg9YwyPb7ZbKOp3TlJPFEi1Il5wsncYROZPh6Q9dNTlSGZYjAxfJG4Ld4o5nK98OV+UT+9bGJGr/ud6OSlxDA2Iw67Q+ObrlmQXZELGdkzwBTYsh1Fd4a0oAY4aVwa/7pGtLx6Z3sJv3x/t+9N0uOz4KqXwRDJlOZ1/DvrYyx2B7e8uMUdkfRgSOYrRoOe310ylZ+dO9F13+7SRn748jasHaLr+8sb+XBHKdB7dBrcNbj9SvcG8dojE0RE8tg38PK3wNIk2rJc9hQYIwHY6Hwf5Afq1pfc0ctpOYmcuWAGu5a9yEHdKNJ1DbwZ9QfGGio5XN3Cbz7cy1l/W8Wnu8uh4Ti0VIkVtixRiymjzPvKu6d8C1Myp8t3hxpqaUjmjlDPBHRC5DZVwO534F/z4PMHoO4IDkMkX2pzecT6LX7vuJG2M/4Ic27EkTWDCJ2dc/SbiHvjcl6K+AOTDCIzYKPzvY2KMPDPq2cze3gSje02rn92E9VHnROlmFRhctcPFo4Wz+utjhrcn4F3tx+nsKNxlM0Mr12LrnIvlVoS11t/xp0XzOdXF07puUbaG1x1mGJCvu5QNbe9tA2bQ2N0WizlDe1ERxj4z3fnkBoX6dOhHQ6N+9/ZyUc7y4gw6Hjiu3P6/9kNc7Zs2cKsWbOYNUusJN97773MmjWLBx98MMQj68y4zDhMBj1NZptnQ0G50AZuR/2hTJc6ahmhDqTDt8Rl7Ni1U0JjGTQUiRZ9fWUJuBbEOgvq485jypaBgSQ20khClIhKudK+T5QItU7XIWPKc9q3zAaZqgzJFIOJ7Okig6ettnuZYAfqWy2uzLvTlaDuk1PHpwOw8kBl7zvKVHuV7h0ShrygBmE9/8iVM9Dp4OWNRTz00T7fRXXuHLj4XwCcU/8q9+fspN3q4KbnN5N/rLpD37eBGQHodDpuO3UMD3Tosbv6YBU/fmMHdmerpt99JGpUz5+W3avRU32rxZX6LMVZPwbkTln++MfQXAEZk+HbL3dqBbW+UKycSdlvdAq2uEgjH/7oJH5/6TSuOnUmz455lD2OESRr9Xye/nf+cm42aXGRHK1p5baXtvL8W++IA2RMdh1f1pAVVLhTxDu3zXLWULcJka1pGocqhbCcIGvLI+Pdr+OtG8VP/TGIy6LxjL9ylvE5vme+l3/YL6Ni0vVEn/QDuPBR9Let5iL7n3nRdiZ2vYmTDHv4MOJn/Mz4KlsOu1Mmo00Gnrl+HmPSYylraOe1jz8XD6T3v1eyFJI7jze4Us09MTMviTMmZeDQ4PcfOz/bdpuomT66hiYtmhss9/H9i5byvZNG9Xs8LjpMyLccqebmF7dgsTmYnJ3A4eoWAB6+cobP0RVN03jwg928seU4Br2Of149i9MmDN0v26VLl6JpWref559/PtRD60SEQc9EZ6aHxzrqyr1gN4t0aB/6rQ9aukSoZXvG7MTAC1FX68G6Lj4UMtqcMUVc63pD+iB0cfoOliGZRKZ9VzS2i+tVi3OyONQj1NAhY8pz+0H5f6ZaZikGFYYI92e7aH2Pu606WIXdoTEhMz5o15vBzNIJQlCvOljVu3aREWplSBYSgiKoH3vsMUaOHElUVBQLFixg06buhiiB5uKZOfzpsukAPPvNEf746X7fRfX0K2HJ3QB8v/4Rrsspo9ls43fPvQ2WZhHJTZ/Y+zG85OaTR3VK//5gRyk/f2cXb2wpZu2haiKNen5ydu+1uRuP1KJpMCY9loyB1MRJIVpbCJGJcPVrEJ3kenhPSQMbDtd2esp3FgrX8fT4zhHKlLQsbrD8lDpTNvr6I1xx4MesvGseP1w6Br0OWo6KWsz65Kmu54xJj0OnE2ne1c0W7A7NVUvS1eVb0zRKG9ppNtsw6nWMTOuQ1pzkdEI/9g3oDHDKfTTfuolvb53IoQYh/gFGp3dOha6OGcuDtht5bubrfG6fgxE7txk/5J6jP8Re6a4tT4418cz184g1GdDXHOz83vWDvJQYcpOjsTk0Nh+t7XXfn507EZNBz1f7K/kg/zi8/0PY9yEWzcit1ntYuPg0lyv4gMmaJlah2+v57fPv02qxMy0nwWUad9eycZw3zbdJsaZp/Pajvby0oQidDv56xXTOmXoCTKwHCbJ1j0en7w6eB/Sjx/igo0uEuqJR+FxkJviWjdEfcpOj0emg1WKnurlDm0BXyVEv6d4SuSBWsk1kFzg55vRgGBGkCa6M6Fc0mkVWkuYQEfbY9KCcP6Tk9OzpUd1spryxHZ2OfnVGUChCimzZ10snkFUHRLnkaSo67RXzRqYQHWGgotHM/g6Zmp1obxCL26Ai1CEi4IL69ddf59577+VXv/oV27ZtY8aMGZx99tlUVvaRuhAArpyXx0OXCKH2n1WHefjzg76L6mUPwsQL0Nkt/Kb1D5yX085Eq4gYN6fN8FvfN51Ox28umsIp492Ti9e3FPPL9/YAcM+Z4zuLRQ8MqF1WR/Qdegdf9HdIdrfoenNLMZf++xs0QAcsGJUMQGO7O4LckbyUGKpI4s9pv4foZCjdRtyH3+e+M8fyyi0LmR0h6kf/vjeW1QfFRTfaZHCZ8RRUNtHYZnWV5yRGR7hqqC02B21WOwVOYTcqLdZdv3vgUzj8tdg2RsGNn2A99X5+8MZ+9pY1khZnYnymML3q2oNVtmna25bC960/5vm831OnxTNZdwTdk6fAzjdc+45Mi+V3l05lnE44wR8zDKxXsGyfta6XOmqAsRnx3H7aWHQ4sH1wD+x8HRsGfmC9i5gJp/fLGKxHDBE0p4nFqQm2/czMTaKotg2bQ+P86dnctcy3NmGapvHHT/bz3DdHAfjTZdP75QquCBxTZB11qYcItcvz4ARI94ZOEep2q921uJcRhJTvSKOBYc5IeFFti/sBXzw8UseKa6/dLFptOTnmNDobkRocQS0XeSsa293103GZol/2UEemfNcUQFt9p4fk/9iotFjXIq9CMWiQgrqHCLWmaawuEBmNp4xX7t7eEBVhcM3jVx7ooaVu8WZAE+3L4lUbslAQcEH9yCOPcMstt3DjjTcyefJknnjiCWJiYnj22WcDfWqPfHfhCB68YDIA//r6EH9b4aOo1hvgsichewa6thr+yXLOihU9d18uyexknDVQjAY9j1w5o5MotdgdpMRGcNPikb0+t2OPv1PGDWDFv60e9r4vtqOSYMqlYhw2B794bxc/eWsnFqcZ2dLx6czME4JapkGmdOkZLMXqluY0uPp1IW4Pfgqf3MfCkcksiBJCdKtlODc+v5lXNwmBLcVuQUWzy3wsLtKIyagn1mRwtWiqa7VSUNHsfI4z9XHTU/Da1aI/IkB0MlrefB54dxdrCqqJjhDp2jLi0zUFSb4GWetXm3cmv819krX2KehtbfDOLfDJz8AuJtaXzsplVpR47/+6Te/RVM5b5ILKV/v7XoD6wSkjeSL+eS7XVuBAx92WH7IjZjF/vWLGwGqmu7C7pIE3y4WoODO+iNpWCw1tVmYNT+LhK2b4ZGikaRp//HQ//1l9GIDfXTKVK+cNbBFC4X/crbMaul8vS5xGf0Pd4VviilCXU+mMTkdF6F01wYFmuPP6JCPK2MxQli+2c72IUOt0HdK+3dliRTUtzuP306zQR2REv7Kx/cSpn5bEprozpuTfzonLkEz1n1YMRnLnATqoPQzN3ect+8ubqG42Ex1hYM6I5OCPb5Ai66hXHexhLigXMIYvDtKIFF0JqKC2WCxs3bqVM844w31CvZ4zzjiD9eu7r16ZzWYaGxs7/QSCm04axS+cEbt/fNUPUW2KFWIwfhiGmgJOdjjNmSxjuOapDX4V1Wlxkfz6oimd7qttsXL/u7ux9+JYfqiymeLaNkxGPScNpMff578QBhMg+g7brVQ2tnP1Uxtc6bkyonHKhHRXGl91k9s0rCPS8OZ4XRta3nyxOIEOtjwDX/8OfVs1mt7IhOkLsDs07n9nF4+sOOhqmVRQ2dTB4VssNOh0OrfTd4vFlXo8LiMWvvg1/O//RDrh9KvEIJrKeObTTbyx5Th6HfzrmllMzUmktN6zKY98DdXNztTOxCgmjJ/Addb7+SjxWrHTxsfhxYuhuQqsbaRahWnc+qZ0/vzp/n6++UJQG/U6DlU2c6ympecd7VZMH9zG2dYvsGl67rH8gI8ci3jo4imu98Yf7C5p4NqnN7LeImplx1v3U1TbSm5yNE9+d65PLV5cYnqVENO/vXiKq1RAEV5MzIrHoNdR22Lp3DvY0gJVIkPHFXUb6nSIUFc0uQ3JdEFKd5fXW5egrj4oFgt9qWGX2QTOCHVju9V1XR0epAh1p5TvZimoT6AyjxzPxmRSUE9RhmSKwUh0kvDAAY9p32ud0emFo1OINJ4A2Sh+QtZRbzla5+6M0JEipyHZcJXuHSoCKqirq6ux2+1kZnZOP8jMzKS8vHuT8uXLl5OYmOj6ycsLXKTq5pNHdxLVf/38gG+iOiEbrn0TTHHobGJSZcucQV2rlWue2tCpZ/JASY6JQE7VkmIiMOh1vL3tOLf+dyutFs/RT9mSYPGYVGJM/YycFH4N2/8rto3RoNnYuyefC/+1lq3H6oiPMvLUd+dQ7eyVvWBUqstoRkaRu0aohyWJGsA2q7MGcPLFcPYfxINrHgZAlz6JP397PneePhaAf3xZQH5xPQAHK5o7OXx3fI9AOH0XVDZjxMa3in8Pa/8mdjjtF3DpfyBVpCOvWfMlAL+5eCrLJmVS1iBSliMMum5uvfI1yNeUGR/FglEpONDzQOMlOK58CUzxojb7yaWw70N0aFgjk6kmgRfXH+vcn9oHEqMjmDdSGMr1GKU2N8Gr34bdb6HpI3jAeC/vO05CR/f3fyDsOi7EdEObFVuWmAwOtx0jK8rKczfM61Yv3xuapvH7j/d1EtN+q/FW+J2oCAPjnItau0o61FGX7RCLVfHDxDXxRKBDhFpm4gS6b3NHpOAtkr2oqw6I2/SJ3tewS68P53NlD/u0OFPQ0oxdgrrpBIxQgzujo0sdtfz/mqYMyRSDFWmKJUVeB1Y7282eNJDMyROQEamxjEyNwebQ+OZQlxJAmwVKhP+Qq3WZIuiElcv3/fffT0NDg+unuLg4oOfrKKof+7qQ5Z/4aFSWNdVlUgbw7Pj1TM9NFKL66Q2uleaBUFjVzB2vbEcDDHod9a1Wbj1lNJFGPV/sq+Cq/2wQKXNd+HKfSDnud48/czN8eKfYnncLWqZYcXz8jY+oaDQzLiOOD+44ibT4KFr+n72zDI/rutr2fYbFzGBZZmY7tsMMbZo0acMMbdq87fsmpRSSppR+bQppmjYNc5uG24bjQBPHzEyyJVnMrMHz/dizj0b2SJqRhiSd+7p0zWh0YM+M5sxeez3rWQ43KXFmpucmaZMkKXNOOyags5gM5Hm30VrwLP8GLL+9byNbMoqicMfZ0/jFRbMxKGimZ/tr22nuEoFtqo8Uvq8XtZ3a+nqeMP+Wwoo3hPnYlx6CU74LikKFVQTUs5XDfOPUSVzjzYjKNjQFqXHHyaNl4N7RK55TboqN2QUpxFuMtPU42Zt6CtzyoahNbD8Kr38DAHPODC5fIozlvv/Kdnqd7iDegD7OmCHew1V7/ATUbVXwxHlw8AMwx7Nh2Z94sWshJoOCCnz9uU2DZ7YDZEtFC1c+tlZIu4tSyC+eyFE1E4Oi8uRZBqbkDOEs7IOqqvz0X7t47LPDAPxcD6ZHBXN8ZN8a461+Gvrq0xwdNDWJiU1OBHpQSyZ4Jdna51oLqIMwQJTbNuwDVdWy3cURdNyVku+6tt7x04Pal/zjjclauhwcbRHfRbrDt86oRZpiHRNQ9zrdWnLh5JEoJ8cpUvZ9XD/qmm3g6oW4dMgMzsNGJ3SENaDOzMzEaDRSV1fX7/G6ujpyc49fibZarSQnJ/f7CTc3n1TKvV5J9SP/LePef+/GM4iU+jhkXS5gXfcgL87dwvyiVFq9mWqZWR0Oe2raufyRtbT3ulhYnMqNK0sAYZ3/ws3LSE+wsKOqjQv/vJqNPi7QLV19Pf6G7aL40a+gtQJSiug++Ues7xQf5InqUc6emcNr31zJxMwErUfykpJ0DAZFy1D3OETwmO5HbqxlWKRkEeDsX0Cy14iqYg3sfAUQbuF/uWoRVpP4V23tcbHXK6n3l6FuObqfZ9UfcbJxB6o5Hi5/ARZcDcCrm4/ybIWo2bkgq76fS7o0+CnOOL5+MD1BHNvuEk3BcpJtmI0Grf5nbVkTZE0VQfWUc8DjleN0NfDDs0vISbZyuLGLB1YN3JdxMGSfxnWHm/pLfQ5/Co+eBnU7ICEb93Vv8qNdBQB87eRS5hSIxZ3L/rZWM2obDpvKm7nm8fV09LpYUpLGqdOyeW5tBVs8QkEww70v4GO5PSo/fG0nT68pR1Hgvi/P4Ro9mB4VzPYbUHuDgfEUUFuThCIF6GkWpR05QagzRsqEYzPUjd7PX2YQAXX6JLHY6OiAjhrKvde/CX6uf+FCLr7Wd9hR28dhhjpvnnA176jWMvTSRX9CRjwpcebB9tbRiV1khrpmKzj65nkbjjRjd3nITbZpZXw6gbNisliEWH3omIBaq59ePj46bcQoYQ2oLRYLixYtYtWqVdpjHo+HVatWsXx57MgSrltRwq8ungPAU58f4fuvbB+0Prkf0tRl+gUAxH34Y/5+QjmLJqTR3uvi6sfWDdnyyB8bjjTz1b+toaHDzvTcJP52zWK+cepkEixGdlW309jl4LVvrKA0K4Ha9l4ue2QtD39yCI9H5ZP9DXhUUfdYmDaMjEP1VlETDJSd8Au++Mg2VjWK4PHCgjYevnqRJguUK2UrvA6E2d6JpXz1js1Qgx9THRAXAa+pF6oHXr4RPv5/oKqcOzuXF7+2HJk4fnadMCrrl6GOs3C2YQNf3nwdUwxVNCgZKDe+A9POxeNR+e27e7njn9vY6SkBYAZl/Woe+zI0x/eS9X0OZqNChvf3ld6L2+fy4mbzthTLnCp+bzpA8jNn88Ap4mP26H/L2FsbfClAaVYipZkJON2qqD/yeOCT38IzF4q+4Fkz4OYPeLMplwP1nSTZTNx6yiQeu24xk7MTqW3v5St/W8OWipagz73mUBPXPL6eTruLE0rT+dL8Av7wgVgYyJx+ktjo6MaAjuVye7jzn1v5+3pRe/+bS+ZyxdLioXfUiQlkQL2jqr1PyePbMms84Q38nK1VAMeViYQTuSDZ2OkQSiBfyXegmCx99dYNe7XFzUhmqGWJiMuj4m4XCxPjKkNtTex7z7wLU1LuPVvPTuuMZlIniDIgj6tPikxf/fRJUzIj5jkxljihNAODAmUNXdT6epno9dMxQdgl33fccQePPvooTz/9NHv27OG2226jq6uLG264IdynDoorlxULh2IFXtp0lG//YwtOt2fwnTxuOOqVPJ7yA1h2GwBxb/4Pz53SzrKJ6XTaXVz7+Ho+P1aiMdAhPSqPfVrGVY+t0zKCL35tOVlJVtISLNywciIAf3h/P0Vp8fzr9hO5cF4+bo9oPfTVv63htS3CKVtKhYPC44Z/fxtUD3syzuLMf5k51NBFvU2cdzJVmouz3eXWFguk8ZnZaCAzsS8AldldX2QWpNy37UtHLXTVAQosuUU89vGv4J/XQkct84tStaDd4c0Ubyz3mjP0tHJV7X08YvkDie42tnlK+UPJw5A3j9q2Xm59dhMPfSSc2JeccCoASmsFdPctdGgtY/w43Ppm2bOTbNrzXzlJPOe1Zc245P+KwSBeQxABdsMeTvjgUv6c9zYGj4MfvrojOAWEF5ml3rXlc3j8LPjoF2LhYd6VcMsq3CnFPPCB6H19y0mlpMSZyUm28dLXlmuKicsfWctTqw8HfP5P9jdw/ZPr6Xa4OXFyJlcvm8A9/xJt275+yiSWn3Ku2PDoBhiiVMLucvPNFzbz+tZqTAaFBy5fwFcW627eo4mZeckYFGHOV9duF5+fliPij/kLojq2iONjTAaQHYEe1JJkm1lT5FQ0tEGTuLaRNTW4A2my7/19PagjZEgGx3xXjMcaajjOmGynXj+tMxZQFJjgTZqV9xkQy3ZZJ03V66eHQ0qcWbs2aLJvj6d/hlonaoQ9oL7sssu4//77ufvuu5k/fz5bt27lnXfeOc6oLBa4ZFEhD125ELNR4T/ba7jlmY2adNkvjfuFZM6cIFwNz/kVzL4UPC7iXr2OZ053ctKUTHqcbq5/agMf7q0b+FjA4cYurnh0Lb94cw8Ol4ezZ+bwzI3L+km/bj5pIklWE3trO3hvdx2JVhMPXD6fX108h3iLkY3lLXyyX3zQFhYH35LAs+4RqNlKOwlcW3UxHhW+ND+fe2+6xPucD4Bb1BJvLm+l1+khK8mqGRZB/2zNsS7f0JcF6Sf5rtkmbrOmwQX3w4V/Fv2v9/wLHpgPH9zLyowuQCXJZgJUumv28dqvr8P+2xnMbXwLt6rwvOnLfMVxD+bUfO57ew+n/PYjPthTh8UkWpDdceFSSJvY/5w+Y/HncOubofadOM/MTyY13kyn3cW2o14ZrLMXWkRtMDe8K0zXVDdfaHmWD63fofDoW/x9/ZGBXv4BOWcC3G16hv8tu1ms+FqSRG34xX8FSwL/2V7NoYYuUuLM3OAtDZBjf/7mZZw+PRu7y8NP/72ba59Y3/+198O7u2q55emN2F0ezpyRzY0nlnDHP7fh9qhcuqiQ7587DXLngNEC3U2iRcYAdNld3PTURt7dJd6Hh69exIXz8oN+DXSiS5zFyJRsIXXeUdUG1d52WemThLPreMKbSTV3i2t6JDPU0Fea0lSxV5SYmBP6SmYCRQuo92ry8UgG1CBeNxMuTD3eyeF4ylBD30KUt3WWbkimM2aQwV3F5wA0ddq1DjgrvckRneBZPukY2XfTAdGJx2QTZSQ6USMipmS333475eXl2O121q1bx7JlyyJx2mFx3pw8Hr12MTazgY/3NXDN48LV2C+VXrl3wUIwmkR28uKHYeq54OrF+tKVPH6WgbNm5uBwebj1mU38e1v1cYepau3hB69s58zff8K6w83EW4zc9+U5/O2aRcRZ+rcVSI23cO0KYaT17NojgGgbdeWyYt6/4xTmF6Vq237j+c385PWdbK1sHTIr2dzl4O/vf07vu/cCcJ/zckwpufz1qoU8cPkCUnJLwRwvJm/e4EmukJ04ub98J9unntCfy/RxNYDQF9zmzRe3C6+BG98V/VJdPfDZ77lt25fZar2V17iT3dYb+dh6J9fyJlZPN/s9BXzVcTc/6boUB2aeXlPO3z4pw+7ysKQkjVe+voIvL/ROOOVFxzegHmRC6fscfGsljQZFy5prq4VNB0Tm2JYK2dPhq8/ApU9AYi6FSgN/svyZpe98kY6PH+yXIfeLxwOVG+Df/8vi10/hRtM7mPDQUHQu3L5eqw0HeHZNOQA3rCwhydZfFZBgNfH4dYv5+ZdmYTMb+OxgI6f/7mN+9NoOatp6jjvtK5uO8o3nN+Nwe7hgTh43n1TKN5/fgsPt4dxZufz6y3PE+22y9r1fA8i+W7ocXPnYOj472Ei8xciT1y/hzJmxt5imExh9su82H7n3OMtOg5ZJtdmFY22kA+oJ3kXJrurd4oHMKeL7Jxi8cmNP/V6qvdeBSPWgluQk28jCuxhpMAtTnfGE/OxUbaa1y66ZY+o9qHVGPRNWitvKDeB2asay03OTyEiMnKJnrLFysphzrjnUJEqvZHa6YLEo5dGJGpHpjzHKOHVaNs/dtIwbn9rAxvIWLvvbGp6+cenxk6ajG8Rt4ZK+x4xm+MpT8PxX4MinWF64lL9c8y++Y8nnja3VfOsfW+i0u7h0USGf7GvgHxsq+WhfvVazfdq0LH564axBzWGuWFrMXz4+xOqDTRxp7KIkU2xbkBpHXoqNrZWiPq2hw86za8t5dm05uck2VkzKoCQzgcK0ONwelV6nm7LGLrZUtLKrupW/Gn5LvLGHLeo0is+8jY9OLO3rK2wwiIxG9RZo2AtZU/nsmPppiW/f42SbH8m3d9JW32Gnx+EWiwbVW8UffVfYChfBTe/Bvrdg9QN4qraQ6ukilS5QQFUMNGcv51HXeTxSVYLHZ33IbFSYX5TKbadO4rRp2f3rdfLnw+7XtaxAW7dTWzTxV0PoW6t9bMZ95eRM3tpRy2cHG/nWGVP8t7CZfQlMPRfPmr/Q+/HvmKJWwsc/hv/eK8ZSuETUM5rjhUlNawU0HYTD/9X6sypAecJcftxyPhkJ5/LH5L4M7/66DjaWt2A0KAPWJCuKwjXLS1g5OZN7/rWLTw808vy6Cl7cUMkZM7K5fEkxJ07J5O/rK7j7DSHrvnRRIVcuLeK6JzbQ43Rz8tQsHrhiPiajz8S9cInwETi6AeZd1u+cVa09XPfEeg7Wd5IWb+bJG5b2W/DRGX3MKUjmlc1eaaptq3hwPBmSSbyZ1AyP1+U7gpJvgBLvwp8ynPppidfrQW3Yh6pCgsXYr1wnEuQkW2lWvN4OSbnBLwqMdnJmi4WEnmYOHhD93IvT40mJ1w3JdEY5WdNFYqG3FWq2s6ZMXFtOKNWz0yNh8YR0LEYDNW29HG7solRK6vX66aijB9QDsLgknRe/tpxrn1jP3toOvvyXz3n6xqX9nQllVq5wcf+dzXFwxd/h2S/D0fWYn7uI31/zBqj5vLGtmrte3cE9b+zC4VOjvWJSBnecNZXFJUOv0BemxXPK1Cw+3tfA3zdUcNd5ovVXa7dDa6309A1LaO1x8vy6Cj7eW09tey+vbqka8JgXGNZypnELbsXMlJufYEGhH+v9rOlaQN3Wcx7bj7YCfeZcEmlYZjUZtHpjX1LizSTbTLT3uqho7mZabpIW3B4nWVEUYfg2/QLsPT1c+vMnyKCNSjWbB752IXNLsvkBcNLBRq56bB0ARgW23n02CQP1U5Xn8AbxspY7K8nqt2e31WTEZFBweVSSjnFePdH73LdUtNBld5FQLyZFZB8zwbUkYDjlu1QUX87fH/8dlxk+ZCblIhCVCzP+sCTB1LNhyc20GGby6UOrse2qpaPXqWWiX/CatJ05I3vITFlpViLP3rSMdWVN/P79/aw73My7u+p4d1cdVpNBczK/ZGEBVy8r5ton1tNhd7F0Yjp/u3oRVlN/xYT2v3/Mc9hX28F1T6yntr2X3GQbz960NKjWWjqxyZxCnwx1nFfyPY4z1NlKK0k2k9/rRjiRku+EjmHWT4M3oFYw9jaTTjs5GYURNwrKTrL1D6jHGyYr5MyCmq00H1gHFOpyb52xgcEgZN/734aKz1lbNheA5brce0TEWYwsnJDK2rJmVh9qorRcSOqZsCK6A9PRA+rBmJGXzKu3reDaJ9ZzuLGLSx/+nMevW8yiCenQ2y4ytSCkFj443R7K2xSOLPoLs1qvI69zF+2PXMA++w8BkUF0uD3EmQ1ctayYy5cWMzk7uGDjyqXFfLyvgZc3HuXOs6ZhMRn49/YaHG4PM/KSmemVjK2YlEmv082aQ03srmnnSGMX1W09mI0G4sxGcpJtLM2Fcz76FvSA8ZTvkFg42/9JZRakbhdry5rwqFCalUB+an9nbJtZZBmO7efsy4SMBHZUtVHe1MW0hG5orwIUyJs74D5xcXF0pM5kl1eenZrUt7jhKzMvzUocOJiGPplyy2HoaaG8ScjsJgzicGv0BtTyuUmK0+MpTIvjaEsP6480c5oMqLNm+D3O9IlFxJ/4dc7/+EwWJbXw7LlG4uu2CFMeZ4+Q1KcUiox17jyYeJKYdAHzVJXSrATKGrp4e2ctX11cRK/TzaubhQldMI7Zy0ozePFry9lf18E/1lfwwroKel19CzyvbK7i1c1VqEBeio2rlhVT3dbDhPT4YzLU3v/9up1i/OY41pY1ceszG2nvdTE5O5Fnblx63P+IzuhkZl6KcNvvqAOn9zObO/BndszizVDn0hxxuTf0laZk9RwRDwwnQ22Jh9RiaC1nslJFevowgvIRkpPsE1AnjtNSkPwFYkG5egtQqDt864wdJqyA/W9jP/QZB+tLURQ4YaIeUI+UlZMyWVvWzN49O6GtQrRALIrdUtrxgh5QD0FRejwvf305Nz69kW2VrVzx6DoeuGw+p1r3EodKb3w+/9jeTUXzbsqbujjc1EVlczdOt5BwJ/O/PGf5FXMNh/m75Rf8MuM+qm1T+bysiR6nh067m5Jh9P48fXo2OclW6trtvLe7li/MzdcCq0sWFvTb1mY2ctr07IF7Ur96K/Q0iknZif838ElzRWsx6nay2tpXP30sJuPQWY7ijHh2VLWJ2mWztz9z5lTR43UQJmUlaPXOvrI43/tThupvGJ8OaSXCobh6KxXNRdqYhsJ8jCRRURRWTsrkxY2VrD7QyGm1O8Qf5Gvlh2+fMYW3d9SwqUnh3sNF/L9LrxzyvPJclyws5Lfv7uPVzUf56uIi3txeQ3uvi4LUOE6eErxz5sTMBFp7nFowvXJyBg0ddvbXdWqtz2raevn2P7YCYDEaKEqPY2JmAhMyEihOi+NyWybW3kZ6K7fybnsx331pOw63h0UT0nj8usX9SgB0RjdxFiOTsxMpaPBmp7OmifY/4w1vNjVHaSEnKfL/3xPS41HwUOw5KupBgulB7UvWNGgtZ4qhisQIG5KBkHy3KF4vieRxalSYvwA2PUl62y7gi8wuSI72iMLGQw89xG9/+1tqa2uZN28eDz74IEuXLvW77VNPPXVcNxir1Upvb6/f7XViEG/WVKlYg8LVzMxL1csZQsCKyZn87v39KF7DN/IXjM/v4RhjnBUsBYbHo1Lf0cvWylbe3lHDa1uqmFeYQlaSFYfLw23Pb+ZPT/8DgA86ivjpv3fzxOrDrNpbT1lDF063SrzFyJyCFM5eNI0dpz9NZ+Y80pRO7u/6MS+cZ+TXX56DQYF/bKjkmy9sptc5iJu4H0xGA5d52w69sK6CQw2dbKloxWhQuHB+EBOTXa/D9hdF7e6Ff9ayoX6RQWLTITYeqAREBvxYFERA7XIPbIQ2wbcXtbcHZyC1mEXe/RQg2da3HpQaZzlum0GRfXOrN1PeJCTfg/VgdQ1i6rbS2zJs6/4jYrUQIHeALD9igeP/XTIXRYEXN1ayas/g7u++XLSgAEURrboqm7t5Yb043xVLi/zK6wejx+Hm689u4tXNVRgNCr/7yjz+98ypVLeKCcu0nCS+f840LllYyOyCZOLMRhxuD4cauvhgTz2Pf3aYe/69m/92icz4bx5/nm//YysOt4ecZCuz85N5ZXMV7+ysYVtlKw0d9mG1DNOJLWYXpDBX8bq6j0e5N/SZkilOShJcET99VpKVUnMLcYoD1WARC4TDOpAIxCcrVQEtKIaanGQbOUqr+GU8Sr5B+wxNdR8E1DFrSPbiiy9yxx13cM8997B582bmzZvHOeecQ319/YD7JCcnU1NTo/2Ul5dHcMQ6IyZvHpjjsTjbmKxUs1yvnw4JcwtTiLcYme3cKR7Q5d4xwbjLUKuqSku3k5q2Hmpae6lp66G6rZeaVu9tWw91bfZ+9c3+mG84CEBN4izOzc+lKD2OCRkJTMxMoCQzgbxkW/8A54T/CKOyyrXwzJe4/PLnSL1qId/6+1be3VXH9U+u59FrFx/n0DwYX11SxJ8+PMjnh5p4cvURAE6ekkl2UoASxI46+I83I33iHVC0ZPDtE7MhMRc6a7E17cVomOa3Hkb273a4PTjdHszG49dtpGSxvLkbugKvxZTySqNB6VfvZzEZMCjgUQN03M1fALteheotlLeu6DemY+l2uDTTOH+B9cpJGSgKmBp3gQVInSB6UA/CstIMbj5xIo9+epjvv7KD9/4vza8j+rEUpMaxvDSDzw818fhnh9lU3oJBga8G2dO5rdvJTU8L0z2rycBDVy7EaFC45vF19Do9LC/N4LHrFveTzns8KtVtPRxp7OZwUxfljV1UtnRTVTUTejeLz4R3Xaiu3c7Ta46f/FiMBnJTbOSl2Mj3mujlpcaRn2IjN8VGfkocqfHmiNdy6gTO3IIUCneM84DaHEePMYk4dwcTrR0RP72iKCxPaoRu6EoqIdE4zK/yzL6AWomwwzd4Jd8IybcrIXf8TUgAsmfgMVhI9nRzQmpbvzaNY4nf//733HLLLVrW+eGHH+bNN9/kiSee4Ac/+IHffRRFITd3nC60jAWMZmFcevgTlhr2ckLpRdEe0ZjAbDSwaEIay8q9JYYlJ0Z3QDrAGAuofYPl2rZearwBck1bLzWtvdS2i997nYMHyyC8sHKSbOSliol/oXfyn58ax4bDTczfIALq6sRZ/PqSOUPLWm3JcPUr8OJVUPYxPP9Vzv3yIzx148nc+swm1pY1c/kja3nqhqVkJQXmGFuYFs/C4lQ2V7Ty0kaRMb480DpaVYV//Y/oX5c7B075fmD75c6Bg7XMNJRjK1ner0e2xLd3d2OnnbyU4+tnZRa5orETFNl+Z+gMtXTc9qgqqqpqgZeqqqjeWDcjkAmJzIZXbaHC7u1BPcCEsr7drt3vtB+fjcpItLKoOI2ZR70B5CByb1/uPHsaH+9r4EB9Jz98dQd/vXphQIHkFUuL+fxQEy9uEO/5sokZZAdRx1nX3st1XrO9JJuJx69bQnVrD995aRsuj8qp07L461XHt2wzGBQK0+IpTIvnRG9WvrnLwUOPz4RemG84xG2nlLJwQjpVLd1Ut/VS1dpDVUsPNW091HeIhaqK5u7+LdOOwWY2kJfiDba9t7kpNvJTbeQmi9/1oDt6zC1ModAgeq2r+QsYr+9CizGDOHcHRebWqJx/rq0WuqExroThiv08mdMwAJMN1biikKHOSLCQ662hbjNlMC7zV0YzDQlTyenYydmpNdEeTVhwOBxs2rSJu+66S3vMYDBw5plnsmbNmgH36+zsZMKECXg8HhYuXMivfvUrZs2aNeD2drsdu73v+7q9vT00T0Bn2HTmLiPx8CecYNjD0tJx1hYvjJye72ZiZR0eFAy6w3dMMKYC6idWH+Hn/9kd0LaZiRbyUuK8WTGRJfPNmuUk2/xmVgHOLnTDxlZcqoG/V6bz0UOrefTaxUO7GFsT4cp/iprl3a/Dyzey4pxf8o9bruK6Jzewq7qdSx/+nGdvXBaw/O682XlsrmjF7vIwNSeRs2YEaOyy+o9w4F0wWuDiRwLvX5c7Bw6+z0ylnNIBztXc7dDu17X7D6hlWzB3axVYGsBgGlQmLUnwuul6VGjsdGiLD1WtPVrNr+2YQNAvefMABdqP4rLXASkDZqjr2vtqtpq7HH63OXNmDpnVMqAOzKTJZjbyh8vmc9FDq3lnVy1Prj7CjSdOHHK/8+fk8bv39nGkSQSl580JfAX/cGMX1zy+jqMtPWQnWXnqhiX890Ajv35bGOxdvKCA31w6d8D/fV92V7dz67MbaWvJ5ic2KFbq+f7JWZBwfBkAgMPloa69b6GrutVnwcurGGnqctDr9HC4sYvDjV0DnvvnX5rFNctLAn7eOqFjZmInNkVc/xrjpzBe80f1pJPPEXINrVE5/1RjNQBHKKRkmMeoNhdTCOQpzbhsDiCyQbXBoGivXz3p4zOgBvYYJpHDThaZD0d7KGGhsbERt9tNTk7/OUNOTg579+71u8+0adN44oknmDt3Lm1tbdx///2sWLGCXbt2UVhY6Hef++67j3vvvTfk49cZPlsMszkJONG0h+TBzGJ1guJkq/Ae2k8J06zJ43ZhO5YYU//dud4sXWaihdwUkc3KTxXBcX5q/2zXce1/gqFKtMtyZc4gszuVI03dXPTQav5w2XzOnjXE9NJkhUufgLczYcNj8O4Pmb34EC9/7R6ueXIT5U3dXPLw5zx9w1Jm5g9tTnLqtCx++ZaQfVxzwoTA6mjLPoZVPxP3z/sN5Mwceh8vXekzSABmGsrJmOk/oG7s9A2o/RuI5CbbsBgNzFS9bV+yZ4h2Y0Od39GXIT5Q16EF1AfqO7XHO3oDqGm0JgkTtMZ9zFLK2GBePGBmu66jb8W7sdPud5szZ+TgWCUC6u6MGQFPS2cXpPCjC2Zw779386u39jC7IIWlEwdfxTUaFK5YVsx9b4mJyGnTBjCbO4YdR9u4/sn1NHU5KMmI58nrl/DwJ2W86FU33HTiRH50/oyA/ofe2lHDnf/cRo/TzYSMTOzmyVhbD0LVJph6jt99LCYDRenxg9a49zrd1LX3Ut3aS227CLprvQF3bXuvFnTn+lmk0YkMtvrtAOxXi6istZM7TqOgKncq84FMtTkq5893i2zmLkcWpw7zGPvbFGxqMplKO6a2cohPDdXwAsPZQzLi2l3tTsV/b4Sxz+ruYk4FSuz7oz2UmGH58uUsX75c+33FihXMmDGDv/3tb/z85z/3u89dd93FHXfcof3e3t5OUVFw5VA6oeXdtgKWqGbSaIXG/Zpvg87IKOkUpZKrXdMxNXT1b+mrExXGVEB95sxs9v3i3JEFy4Hg7T9tK1nKv04/kW88LyTbtz67iW+eNok7zpo2aMsoDEY4/35hJPPeT2Dj40xsLuO16//CNX8/yN7aDi772xoeu24xy4Ywcfj0QKN2P6AVqtZKePlGUD0w/2pYdH0ge2l83pXPWcAMQyXWFP8BaJNP0Fk/QEBtNCgUpscxt8UbUAdYi9na7dTu76/rYIXXZfxAXYfPNv6zyMeRvwAa9zFPKaMu45QBJcS+z6Gp0/+xJ6WbcRlEn+81XQWcEdgIALh+RQlbK1t5Y2s133h+M29+68Qh68CNPmP974EGrlo2YdDtVx9s5NZnNtLlcDO7IJnff3U+P3xtJ2vKmjAocPcXZnL9yqGz4y63h9+8u49H/itqaE+aksmDVyzA+u5SaD0oPhsDBNSBYDMbmZCRoCkY/NHrdGPQ5d7Ro1p8kW/3TOTo0TbOGWoRcQyiqioVjmQwQoqrKSpjSLWL683m9tRhH+NgfSepajaZSjs0H/YqdyJIh1gU6FEtVPeMT/ff5i4Hn3QW8iMrJLfuAo9bzBHGEJmZmRiNRurq+htw1tXVBVwjbTabWbBgAQcPHhxwG6vVitUaWMmcTmRYU97JJs9UVhp3wZFP9YA6RBgrRanEOs90bIeb9IA6BhhTLt9WkzH8wTT4uFIvIj3BwrM3LeP6FSUAPPTRIa57Yv2AmUwNRYEV/wOXPQumOCj7iKwXzuGlL8WztCSdDruLa55Yz3u7agc8RI/DrQU2AO/uHsIturMBnr0YupvExOmC+8U4guCNcitdqhUrDmg+5Hebpq7+ku+BmJAezxzFK3ELOKDuO/Z+n6z0/rpOn22cBIT3nHMMZYP2oPbNsjd1+X8+SsM+zLhoVRP4z5HgPlaKonDfl+cwLSeJxk471z6+npYBpOWS933e64c/OYTdNbBL/Fs7arjhyQ10OdysmJTBXedN57on1rOmrIl4i5HHrlscUDBd397LVY+t0/7nbj25lCevXyL8AwoXiY2qNgXwjEeGzWzEYhpTl67RRc1WAHaqE9le1RbdsUSJlm4n1Z5UAOJ6B3YpDhvOXsxd4rthS2ca7b0BXvOO4UBdJ+WqV2nUEgW5cYd4DnVqGrUdQ3xnjlF2VLVxUC2gFwuKowua/H+vjmYsFguLFi1i1apV2mMej4dVq1b1y0IPhtvtZseOHeTl5YVrmDohprHTzqGGLtaqXhXk4U+jO6CxQmcDNAiF4nrPdNaVRUclpdMffVYaLB63lqGhcDEgHPd+euEsHrh8PnFmI58dbOS8Bz5l9cHGQQ7kZcYX4eYPIG0itFWQ9Nz5PD93K2fPyMLh8vD15zbxT68k91h+994+att7yUoUmeI1h5poGyiY7GkRwXTTAUguhMueD0hi7Yvd5ebjA83sVb3GZ7Lnsg9Ot6dfQFvfMXDPyAnp8cw1SLfgoQ3JQExkJb5Zad/7LYFmqL3GZPMMZRSnD/xa1PtM9Jo6Haiqn9ZP3tdit2cCH+5rwDWES/yxxFtMPHbdYnKSreyr6+C6J9fTMcAkubHTzoYj4gKakWChsrmHP6064Hfb59eV880XNuNwezhvdg4nT83khic3UtPWS2lWAm98cyWnTx+67v7jffWc98CnrDvcTILFyF+uWsgPz5+BSdZaF4jPAlWbwN/rozM2UFWo3grADs9Edhxt9f95GOPUtfdSr6YBYOwceNEzbLSWo6DSRRzNJHHQZ3ExGA42dFIhA+rmaATUIkNdR9qgi69jmR1HW/FgoCZuinjAu2A11rjjjjt49NFHefrpp9mzZw+33XYbXV1dmuv3tdde28+07Gc/+xnvvfceZWVlbN68mauvvpry8nJuvvnmaD0FnSDZ6J2nVKV65wdHPtPnB6HgyH8B6EqdTitJrD/cPC6/h2MNPaAOlvo94OwCi7cG14cvzS/gjdtXMjUnkYYOO1c/vo7fvLMXh2uI4Cp3Ntz6MUw9D9x2zO/9gIf5JTfPteBR4Xsvb+dvn/Rftd5U3sLjq8UE6P9dOpdpOUm4PCrv++tp3FEHz34Z6nZAQjZc9y9IDb6uaG1ZM512F4dNpeKB2u3HbSODWZn3HmySNDOumVSlCydmyA6sjrtfhrquE1VV8XjUfjXUAWeoc2bjxkCW0sb0hIFb3/hmqF0elfYePzXa3oC6zDiRth4nG460BDYGH4rS43n+5mWkJ1jYfrSN655Y308+L3lvVx0eVbgt//JiYeT28Cdl7Djaly1UVZU/f3iAH722E1WFi+bn09zl5Ndv78Ph9nDurFze+ObKIY30ep1ufvXWHq5/cgNNXQ6m5ybxr/85kfPnHJMlyJkFJhv0to7JDIuOl/Yq6G5ENZg4aJhAS7eToy090R5VxKlr76XWG1DLLGtE8Qa/DeZ8QOFgXfABtaqqHKzrpNzj9WCIcoZ6IL+Nsc4273W7O8NryuldsBprXHbZZdx///3cfffdzJ8/n61bt/LOO+9oRmUVFRXU1PS5nLe0tHDLLbcwY8YMzj//fNrb2/n888+ZOTNwzxed6LL+sJgHJZcuA3M8dDeKObTOyCj7BADr1NMwGxVq23sH7ZyiExn0gDpYpKQ1f77fOqepOUm88c0TuWJpMaoKf/n4EF96aDV7aoZo3xCXClf8XdRWm+IwHP6YHx25niemfI4ZF/e9vZdfv70XVVXpdbr53svbUFX48sICTp+ew9mzxJfSx/uOkR9WbYJHToXqzRCXBte+ARmThvXU/71NuMoa870u1n4y1LLGONHr5jjYJGkWohbqkHFiwC7jMkOtKNDW46Sh005Vaw/dDjdGRW4TYIbaEk+ZQWTbZ6oD12XJtllxZvF+N/qTfXtfC2OBqEH89/bqwMZwDJOzk3jmxqUk2Uxsrmjlwj+vZucxslr5Hp89M4dzZ+dxwdw83B6V7768DYfLg8ej8os393D/e8LgZnlpOu/trmPd4WbiLUZ+dfEc/nr1wiF7nu+sauPCP3+mSbyvXT6B17+5kklZfmp1jOa++ssIyL51ooR3sq9kzaA0V/gX7BiHsu/6djt1MqDurAVPcIqUEeMNfrsTxMLowYbgA+r6DjsddhdHFW8Na/ORUI0ucNrFdbJOTevXnnA8IRdC4yZ4s3hjNEMNcPvtt1NeXo7dbmfdunUsW7ZM+9vHH3/MU089pf3+hz/8Qdu2traWN998kwULxmnf+1HK+iPCX2LhpByQrZ2OfBbFEY0RDouA2jT5NOYVpgLosu8YQA+og6Va1k8PLFGOsxi578tzePjqhaQnWNhT086Ff/6M3723j17nwLWuKAosvQW+/ikULkFxdHJ65Z/ZkPYTLjJ8xmOf7OOuV3fwk9d3cqihi6wkK3d/QazWnjw1CxDmUx6PCs4e+PT38MR50FENmdPgpg+CcvT2pcvu4q0dYvV4+vwV4sGa7cfJd2RAnZ4ggrX6QeriijtFhnudozRgibQMlnOShGnXgbpODtSL7LJsz9USYIa61+lmg3NSv7H4Qy4KpHtdwI9rnaWqWkA9Y/5KQCw+DPpeD8LsghRevW0FEzMTqGrt4dKHP+eR/x6i1+nG5faw5pD4kpLv+c8unEV6goW9tR3c++9dfOelbTz+mZhwp8WbWVPWTLfDzZKSNN761klcuax40B7OPQ43/++dvVz00Gr213WSmWjh0WsX87MvzcZmHsSjQMr25WdEZ+whJ/v585hbmALAtqOtURtOtKhr76WRFDwo4HEJX4pI4s1Qq2nC+8C35CVQDniz2u6UEvFA+1FwBbgYGSp8M9SDlAeNVerbe6lt78WgQO50b8BRsz3yCzQ6OiGmo9fJ7mqRSFpakg4lJ4o/eOXKOsOkpRxajoBihAkrtK4wsgxQJ3roAXWw+BiSDcW5s/N4939P5qyZOTjdKg9+eJCz//BfPthdN3i9Q+YUuPE9+NJfICGL1J5y/mj5C59Y7yB985/ZvHkdCir/75I5whAKmF+USqLVhNLdRPWHf4UHF8Oqe8Fth2nnizrtzMnDftpv7qih2+GmNCuB6XOXgWIQ8p2Omn7bSdOuLG/A29zlGNAwK7FuAwBr3dMoD1CuIoPZ0izhAr2/rkObGJZkJni3CSzTUdbQxXq3cJyMq93gd5tOu4suhxi/bNF1nAy75QjY28BgZu78JRSmxdHR6+LdQQzlhmJKThKvf3Mlp07Lotfp4Vdv7eXM33/C797fR4fdRVq8mVn5IqDJSLTyK6/0+/l1Fby6papvaN1OspOs/OGyefzza8u118gfqqryzs5azvz9J/z140O4PCrnzc7V/oeHRH4mqvSAeswi5ah587WA2rfUYLxQ19GLCxM9Zin7rhl8h1DjzVDH5Yhr+nAy1HIhMiOnEMwJovNDa0XoxhgI3oC6Xk2jtds57EXI0YpUd0zOTiQ+f6YwKHV0DGj4qaMzWthU3oJHheL0eHJTbFBysvjDkc/0BaORcNi7IFGwCKxJLCkRAfXG8uDLDHVCy5hqmxV2nD1Qt0vcD9BEKyvJyiPXLOKdnbXc++/dVDR3c/MzG1lYnMp3zpnG8tIM/9lCgwEWXAUzvgDrH0Vd9zAFXQ18z/wi3+NFagy5ZG+cB2UlYDRj7m7iddt2JrIb42feYD25EM74Ccz5qjjeCHjJa4x26aJCFEsCZM8SNdmV62HWRdp2sgd1TrIVi9GAw+2hocNOYdoxLto9rSje13KjZxoH6zv9S4l98DU8m56bxOeHmthf16nVqM/IS+Kzg400dwnjsMGysCAmoRs8IqBWaraBowss/QNOmZ1OtJq0gLrx2NZZlevFbd48DGYrlyws5IFVB3hp41G+NL9g0DEMRkqcmcevW8Irm4/yu/f2cbSlh79+3Ofq/r2Xt5MWb8bp9nCkqRuTQcHl6VuoyUqyctOJE7n6hAmaBN8fqqqy+mATv31vH9sqWwEoSI3jpxfOCiyQlkjVRu12cDuFDFxn7KCqPhnqBcwxpAIiKPB41ID6l48VpDdEb1w2Cc5mEVDnzY3cALwZ6oyiaYCDoy099DjcxFkC73Ihjcwm5yRBVwnU7xKB+ggWXoPGuxDRZEgHDzR02AftUz/W2O5djJpTkApGk/BTObpBLFxlTonq2HR0RoLMmMqAj/wFwnuop0XMHSPdom+s4JV7U3oKAAuL01AUONzYRUOHXZun6kQePUMdDLU7QHULY6+UwoB3UxSF8+bk8cGdp/D1UyZhMxvYXNHKlY+u44I/fcZza8sHdOdWrcm8l3E1Z3r+zHedt/Kxex4O1USepxbjwXdh/d9gzZ9h29+ZbN+FUVE5YpoEZ/0c/mcjzLt8xMH04cYuNhxpwaDAJQu9z1vWw1Ss7betzN5mJdnIThYfbL+y78r1gEqDuYAGUgNyqdUMzxSY460b2V/XwX6v3HFOgciYOd0q7b1+jMOO4WB9J1Vk0WrOFrJNb39xX2RdX3aylUyvm/pxvagrRD9A+Zpcuki8RqsPNVLVOjLDJqNB4auLi/joO6fy/XOnE2cW72VLt5NXNh/lsc8O8/Sacj7Z39AvmAaINxuYmpNIwgCT7NZuB8+uOcJ5D3zK1Y+vY1tlK3FmI7efNpn37wgwK+1LeinYUsDVC/W7h/V8dWKY9mroahBSs5xZTMlJxGoy0NHr4khTV7RHF1Fkb3pPgrf+OJIZao8bWssBSMmfSlq8GVWFQ0FmqaWR45ScREj3ts2LpNO3qmoZak+iuNaMN2Oy7d5yCan2IG++uB3DddQ644MNXkOypRO9Kh6jCSaeJO4f+jBKoxrlqGpfhnqiCKhT4s1M85rLbirXZd/RRM9QB0OVT/10kP2bQWQ5f3DedG5YWcKfPzzIixsr2V3Tzo9f38lP3tjJjNxkFhSnkhxnxmw0cKihkw2Hm7WAtCv5XM648E52WB387bl/kOWqYUFSGxfMySUuJYsGNYUvvWmkwZjFtiVnE28Ozdv78iaRnT55ahY5yULKTfEJsOHRvmDSi5RkZyRYyE6ycrSlR5t89sO7X0P6QuggoIBaHjst3sKs/GQA9ta04/DWX88tTCXBYqTL4aa5y0FK3OAZ0oNeyWNj+kJS694RY/Ku+klk26+cJBsZCV7J97GScrmoUCz6aRalx7O8NIM1ZU28suko3zpj5JmGeIuJK5cV89t3Re/BH54/HbcHqlp7eGtHDc1dDq2ndEuXk3v/vYvy5h5ufGojOclWlk7MoDQzAbvLQ3uvk83lLeyr69BK4G1mA5cvKeabp00e/gqnoohV6LKPhTGZvgI9tpCT/KzpYI7DDMzKT2ZzRSvbjrZSOoTCZCwhM9SG5HyoIbJO3+3V4HaAwQwphUzJrmb9kWYO1ncy27uoGAiHZECdnQT1JeLBSDp929tFxwy8r2Nrz7hqnaWqqubwrQXU+fPFbc226AxKRycE2F1utnoXi7QMNcCk02HfWyKgPvH/ojO40UzDXuisE6UhRUu1hxeXpLG3toP1h1s4d7bepz1a6AF1MEizpQDl3gORk2zj5xfN5s6zp/LK5ir+uaGSfXUd7K5pZ7cfN3CrycDNJ03kG6dOJsEr3f3WrV/j2ifW83yrg4f3JfLcTcvISbairP4IZ2sP68qaOW169ojGCeBweXhlk6jJ/coin1Zb3uCR2u1g7wCrWCGTcuiMRKsWfPudJHkDanfhCVAeYECtGZ5ZKM1MwGoyaPXNiVYTxenxpCda6GruoanTzsRB6oWh75zuohNABtTHIDMmOclWMvxlqLubocHbBkJm7YGvLC5kTVkT/9xYyTdOndTXr3kErDnUhEcV9eO3njyJqtYern5sHc1dDjITrTx381Km54qFhlOmZfHghwd4cvUR6trtmkP7sUzPTeLyJUVcvLBwyAWIgChY5A2oN8PiG0d+PJ3YQdZPy0k/MK8oVQTUlW1cvCBw1c5oxu1RafAqcSxp3pKOSGaom71lH6nFYDAyKTtRC6gDPkSXgyZfPwotQ102yF4hRi5CWFNITUkFesZVhvpoSw/NXQ7MRoUZeeK63Zeh3ibqTEeoLtPRiQY7jrbhcHnITLT0n4eVniZuK9b6LbHTGQJvuyyKTwBTX+JjSUk6z62tYKOeoY4qekAdDLIdUACGZIGQGm/hphMnctOJE6lv72X9kWb21LTT6/TQ63STm2xj6cR05hWlHueuPLsghX9+bTlXP7aOg/WdXPrw5zx/8zJOnprJ39dX8umBxpAE1C9urKS2vZfsJCtnzvQ5XkoBpBRDW4WQSk8SF0qZvU1PsPgE1MdMkpy92muZPO1kWF3JoYbOIeswG32y3yajgel5yVrN78y8ZAwGhYwEK5XNPdpkcSBcbg+HG0V2JGXaKbARqNwAbpeQJnmRiwE5yTYyEmUNtc8CwVGvmVnGFEjI1B4+b3Yev3hzD0dbenh1SxVfXRx83+9j+fRAAwAnT8niUEMn1zy2juq2XgpS43j+5mX9DMcSrSbuOm8G/3fmVLZUtLL+cDP1Hb3YzEbizEZm5iezpCQ99PU2mtP3ltAeVyf6yAy1nPSD1rJjPDl9N3XZcXtUFAXiM2RAHcEMtcwie4PgKdlCGRBMQC23LUyLI95igrQoSL7lIkRSrlYeNJ6cvuVnZnpuct/3e9Z0MNlE9r7l8LBbXOroRBNpkLVoQlp/L5uMSX3zxvLPYcpZURrhKKXsI3E78eR+Dy/2qgB2VbfTZXdpiTedyKK/6oHS0wpN3l7F+aHvhZidbOMLc/P5wtz8gPeZnJ3IS19fzjWPr+NIUzeXPryGW08qBfqCr5HQ63Tz0IfiOX/ztMlYTcfU4hYvgx0VYrVRBtTe7G1moqVvknRshrp6i5AsJmSTXzoLk+Eo3Q431W09x5uX+dDsDWRlpnimb0DtlYBnDNTa6hjKm7txulXizEayS+eBLRV6W6F2W78FE7kYkJ1sI9PfsbX66b5+miBap339lFJ+9dZe/rTqABfNL8BiGlm24dMDjeJU6fF89eE1NHU5mJSVwHM3L9Nahh2LzWxk+aQMlk/KGNG5A0Yak9Xv1legxxKqOmCGGmB3dTtOtwdzCJQYsY70VchMtGJM8V6vI5qh9ga93iB4sjeglq7dgSC3lftqGeqWI5HLjMpFiKRcbfF1PPWiloZk84p8ZPpGE+TMhqqN4ntSD6h1RiEbjzUkkyiKmCtuflrIvvWAOnBc9r766cln9vtTQWocBalxVLX2sLWylZWTM/0cQCfcjP3ZT6iQ2ZnUCZAQoeAkAIrS4/nn15czPTeJhg47D6w6AAjDmYZBekAHwgvrKqht7yU/xcblS/1kWKXEubLPmKxJC3qtWq/o+mOzDhWfi9sJyzGbjJokaKgMiwxkZT9oWUcNfQH1gL2ij0Gea1J2AgajcUCTNVm/np1k1TLU/bLfx9RP+3LNCSVkeevIX/LWoQ+XqtYeKpq7MShw/7t7aepyMMerUhgomI4KyfmQlCda8NQM3NtbZ5TRUQtd9aJdXs5s7eGSjHiSbSbsLg/7aoPvhTwa8S0DIUmakkUxQ50jguIjTd30OAJrO7W3RrxXMrtNSpEwm3PbI7c4oGWo88RryfgyJZOLwXO9Kg8NrY56awRHo6MTGlRVZZNPhvo4Jp0ubg99FMFRjQHKPwdnNyTmQO6c4/68uES81no/6uihB9SBEmK5dyjJTrLx4q3LWVqSTqfdhRTYbBzBB6vH4eYvH4temLefPuX47DT0BZFeqXSv063VNGf4ZKiPyzqUr+m3/+QAJYtNWkAtjjszry+glsG1X1m2H7SWMdJISQbU5Z/3265emzzbtMx4S7cDl9sjVgylUZ2fgDrOYuQbp4oMw58/PDiiHqsbDov3UlWh2+lhxaQMXrhlmfZ8Ywop+5afGZ3RjzRJypwGlj4ViaIoWkAwXmTfWhlIkg2SvBnqznrRKi4SHJOhzk22kZ1kxe1RNdfoodhcISa8UmGA0Qyp3kXTSBmTyUWI5Dxt8XW8BNRuj6r1oJ53bEAtzRz1BUmdUcihhi5aup1YTQZm5fsxSZx4MqAI75l2/94uOn44+IG4nXymX1NkKfveeETvRx0t9IA6UHwdvmOQlHgzz9y0lLNn5iCbJz3+2WFUaeMcJH/68ACNnXaK0+P5yuIBzIayZoA1RTi11u3QAl6L0UCS1dRXQ+2boXb29smkJ6wA+gLqodq++MrJAZJsfRUL0lArUMm3dLjVJI8TVorbI59pE2NVVX1qqK2kxVtQFBHUtnQ7hQTWbYeELNEyyg9XLC0mL8VGTVsvD39yaNAxDYSqqjyxWkxyVeCCuXk8ecMSkmwx2ue5wFsSIU38dEY/MqD249wuJavbK9siOaKo4VsGQnwGGEyAKoLqcKOqQpYN2jVHURQtE7S5onXIQ3Q7XOz1qgn6ZZDkNSxSddRyMp2UJ15Lxo/k+1BDJ90ON/EWY993kEQLqLfBML+/dXSihWzdNL8o1X+ZW3x63zxaz1IHjm9A7YclJfI7oEUkfHQijh5QB4pWPxj6+ulQYTMb+ctVCznRWz+xsbyFO1/aFnRm9IPddfzVm53+wXnTB66LNBj6rPsr1vrIvS0oiqJlHVq7nX1jOPwJODpFZidHyFa0GsC64CTfhxr6et/KfQOVfB/QAmrhTk7BIojPFHXU5asB6LC76PGOOzvJhtGgkBbvdfrusvctDBQtG7CNms1s5PvnTgfggVUH+O/+4Grbe51uvvWPrVq93enTs3nw8gX+FQOxgm5MNvYYJKAebxlqrZVeslVcAxMjKPvubhaGVQBpE7SHFxb3TaaGYltlG26PSl6KrX+5iDQmi3SGOilXk3x32F102V2ROX8U2eqVe88uSMF4rBFn1gzREq23FVorIj42HZ2RsMGbIZUSZL9I2ffB9yMwojFAa6VomaUYoPRUv5tMzU4iyWai2+HWFkx1IoseUAdCZz20HwWUmO+tazIa+O1X5mq/v7q5ioseWh1wfWNFUzf/98+tAFy3fALnzxmip90Er9T50IdaBllKo5PjTFi9K5RaPfeef4vb6Rdoxjea5Luhc9CMuq+DONCvxZi8L8/d2DlwQO3xqFo2XMsOGIww7TzvGP8D9Mm9k20m4iwigJUZ8KZOR5/joh+5ty8XLSjgiqVFqCp8+x9bONrSPej2kl3VbXzxwc/6tbz6zaVzB3VCjwnkolNzGfTo8qMxQa1Xfpo397g/zffKhvfXddDtGPvBkK/zP+BTRx0B+aLMTiflgbkvGF4oM9TlLUOqkmTQLYNwjbSS/ucINzKgTswl0Woi3nuNrR+h98doQErz5WenHyYLZM8Q9/V+1DqjDFk/vXhC+sAbTTlH3B5cFblSmdGMzE4XLhEZfj8YDIp2TR9JuafO8NED6kCQ2enMqVq/5VgmL0U4/oGQRe+t7eCLf/6Mv31yaNBs9f66Dm58egMdvS4WFqfyowtmDn2y6V8Qt4c+oq1ZSB5ljbOiKNqks7a9Fzxu2PeW2H7GF7RDTMpKRFFEJnuwdlfNWtsscfzd1X0S013e+/JvzV0DT8pq2nvpdrgxGRQmZPi4is/4orjd+yZ4PNS2HTNxpi9gb2+q7nNcnH7BgOeS3PPFWcwpSKGl28lNT20ctF681+nmoY8OcvFDn3OgvpPkOCFtL81KIDMWa6aPJT5dmPeBPiEcC3Q1QZvXVM+PGUpOso2cZCseFXZWtR/397FGP1MyEEZ8AO0RMPNqPSJuUyf0e3h2QTIWo4GmLgcVzYMv2G32TngXFKf2/4PMeLeUh2CgQ+Dx9C1ApBT0+64YD3XU27zlEXML/dSYQn/Zt47OKKGx087hxi4Uxc+CnS8FC4Ui0N7ep/TTGZgh5N6Sxd6FVdm2TCey6AF1IEjpaozWT/tj6USxinXZ4iJOm5aFw+Xhvrf3cupvP+bpz49Q29Y3aWnrdvLIfw/xhQc/42B9J1lJVh66amFgbZ6ypkH2LPA4Sal4F0BrLwWQm+INqNu8tdPdTRCX1lezjJBFF6eLwHZ3tf8JucvtEXXL9AW1u3y2lffTE/sk3wNlavZ4ty3NSugvZ594CliSxESverNYBPB5DuLcYhKdcvht4WSdv6Cv5cwgSDl+RoKFfXUdXPCnT3nis8O09fTVa1e39vDEZ4c56Tcf8dt39+FwezhrZg4Xzxe9bpcMtuIbaxTosu9AeeihhygpKcFms7Fs2TLWr18f7SH1p9Y7qU8vBZv/AEDrR+2Vso5lZIY621vS0hdQV4X/5DLYTesfUFtNRmYVCGPGTYNMplRVZYv3PTrOgVcG6a0RCKi7GsDjEhLGxBxAdFKAsR9Q9zrd7K0V30HHGZJJZEAtlSE6OqMAaYg1NTuJlPhBPF4MRpjqzVLveycCIxvFuJ1Q9om4P0RALa/pg30H6IQPPaAOBGmuFMP108ci61d2VbfzxPVL+M0lc8lPsVHb3ss9/9rFCfetYukvP2Dlrz9k3s/e41dv7cXh8nDatCze/J8Tg2vFNPtiAIqrRUAtA14QDrTgDai9UmqmnidcZX2Q0rctA5jqyGBaUSAt3kJzl4Man0WB8qZuOnqdmiTb6VbpGKAWT0oej5PbmW19fRH3/Jvatp5+zwH6FguKqt4WD8z6st9z+KMoPZ43v3USJ03JxO7y8LP/7Gbeve9x4v/7kKW/WsWKX3/Iz/6zm4YOOwWpcfzuK/N45JpFmhvskomjKKCWnxU9oB6UF198kTvuuIN77rmHzZs3M2/ePM455xzq6yNgcBUog9RPS6Rb9NYxXkftcnu00hNNuaIF1BGQfMtg95gMNcCiAOqojzR109zlwOLPgVcG6V0Nood8OJGLD4k52nfBeOlFvbumHadbJT3BQmHaAN+zefPFrZ6h1hlFSEOyRYPVT0tkQL1fD6gHpXw1ODpERl9eFwZgfnEqRoNCTVsvVa09kRmfjoYeUA+FqvYFBaMooF7qtdDfUtmCy6Py1SVFfPTdU/n5l2YxIy8ZgyJq1eSHrjg9nl9dPIcnrl+iOa4GjDeoLGnfSDrt/Vo59WWoe2CvN6D2kXtLhjLVkXLv1DgzRoOiSbwnZMST5z3Hrup2bGYjCd5avKYB6qgHrCH0Hdve//QF1MdkqLNpoaBjq/e5X+z3HAORm2LjmRuX8vMvzdImU0dbemjosGM0KMzKT+ZXF8/ho++cyiWLCrG7PH0BdSBfUrGCHlAHxO9//3tuueUWbrjhBmbOnMnDDz9MfHw8TzzxRLSH1ods35N7fP20RC5ObQ3AZXo009jpQFXBaFC0xTuShYIkIgH1ABlq8K2jbh1wd5m5mFOQcrwCKS5NdG2A8JthyR7UcjGCPgl9fcfYzlDLz8j8olSUAcwsyZklsveddZHtca6jMwI2avXTAcxVJp0uzPeaD0HjgTCPbBSz901xO+08zXdoIOItJq2drJ6ljjymoTcZ53TUiC81xQg5s6M9moCZlJVIaryZ1m4nO6vaWFCchtVk5JrlJVyzvIRuh4vd1e24PSrT85K1tlPDImMS5M3HWLOV84zryUg4UfuTzO6aG3aIOkxzfJ/Dow++AbXHox5nvHWsIdm6MrESuqAoFYfbQ82OWtYfbuaE0gzSEy10NffQ3GVnYmZCv+O43B6tfm2hv4v+5LPAaIGmgxhs+4G4YwJqCxcY12JAFe7esndrECiKor0Pbd1O9tS2YzYqzMxL0czPJFsrW3G6VbKTrJosflQgs5mtFaIGNyEjuuOJQRwOB5s2beKuu+7SHjMYDJx55pmsWRNDdWUBZKjnFqagKFDVKhaHspJGQa3/MNBaZiVZ+65RkZR8D5ah9l7P9ta202l3kWg9/utdLiYeJ/eWpBVD7Q4RuEtjrHDg0zJL0ldDPbYz1NsGMySTWOKFZ0vDXvH5k8Z3OjoxSq/TzU7v4v+ghmQSaxKUnCjMXfe/A5lTwjzCUYiq9gXU049PRPlj0YQ0dlS1selIMxfOyx96B52QEbYM9ZEjR7jpppuYOHEicXFxTJo0iXvuuQeHY/B2RjGHzLBlzxBfcqMEg0HRLmr+Gr3HW0wsLklnWWnGyIJpyWyRpf6CYW0/4ywZjJ5Y94J4YMpZ/dxpJdPzkogzG+nodfntR93nIC6OvaasCYAVkzJZPkm0CVtzSDwmTdH8Zaj31nbQ43STZDMxOSvxuL9jS4ZJZwBwUuPfxXPwNSVLsPJFozfYCULuPRAp8WZOKM1g0YT044Jp6HNrXFKSPnA2IxaxpUDGZHG/Rs9S+6OxsRG3201OTk6/x3NycqitPT4rZbfbaW9v7/cTdnrbRQYBBg2ok2xm7fM0luuo+/WglvhKvsPZN9jjFu1TwG+GOifZRkFqHB4Vtg/wHkhDsoXHGpJJIlVHLRcfZHafvtd0rNdQy5ZZgwbUoBuT6YwqdlS14XSrZCVZKUoPsGRQdlbR66j9U7NVXCvNCVB6SkC7yHJP3Zgs8oQtoN67dy8ej4e//e1v7Nq1iz/84Q88/PDD/PCHPwzXKcODJveeH9VhDAeZhdhSGYEPllf6vMywhwJHmfZwboqNhcp+TrR/Aihw0nf87m42GjTHU3+y7z6Hbwtddpc2aV8+KYPlpSL7uamihV6nW6tz9ucYLo+9oDht4PZTJ38XgDPsq5ilHO6XoS7u3cdCw0E8KDDzS/73DyGyptxvNj3W0WXfIeW+++4jJSVF+ykqCl4dETS1O8RtciEkZA66qVZHPZYDam9LpxzfDLzMsrrt4W0T11EDHicYTP0CUV/kdeLTg43H/a2+vZd9daJ94oAOvFrrrHAH1N4Mta/kO0lKvsduhrq5y0F5k3Bhn6cH1DpjCJm4WTwhLfDF/ylni9uKNdCtt3o6DpmdnnyG30SUP+S8f0+NUCrpRI6wBdTnnnsuTz75JGeffTalpaVceOGFfOc73+HVV18N1ynDwyisn5bIFXApcQ4nnuQi3vcsxqCoTPzk2+D01h8nWfmx+TkA1PlX+u1jKxmsBlAGx+kJFjYcacblUSlIjaMoPZ5JWQlkJVlxuDxsrmjRZOHN/gLqoTI0AIWLcM+6FAMqPzY9T66cPDu6mPzZ/wLwrnoCJA/Ro3uEqKoamDwwVtEC6q1RHUaskpmZidFopK6urt/jdXV15OYeL/G86667aGtr034qKyvDP0it//TA2WnJ/HEQUNdrLbN8MtQmKyRkifvhlH3LIDelULjk+uG82eL/5p8bKo9rkfj8ugpUVUy4BvTJiFiGWgbUfQsDvm2zhuqlPVqRC8GlWQlDK8O0gFp3+taJfTRDsmAW/9Mnii4xqk9LVZ0+gpR7Q1/bXI869j1NYo2ImpK1tbWRnj5wbUVUJI2DMUoNySRzfOoaw2300tLt4C7HTTSoyZib9sIHPwVVJfvI6yw0HKRbtdK87PuDHmMwY7KmTpG1yEi0+si9RWZaURTt/tpDTVrrLH+S780y4ztYj0Sgfun36VXNLDfuJr38bfG/8O4PsbSWUaumcZf9ejp6nYMeY6QcbemhsdOByWtWNurQM9SDYrFYWLRoEatWrdIe83g8rFq1iuXLlx+3vdVqJTk5ud9P2NHqpwdeCJP0LeC14vGMzYDouB7Ukkg4fQ9SPy05e2YOeSk2mrocvLm9ry+2w+Xh+XXCaOz6FSUDnyNSvag1yXdfhjrb+5p2O9xjNrMiW5bNH6hdli+y53tbhZ6904lpVFXVTLCCCqgBZl0kbne9HtIxjXqay6B+t/Bvmnp2ULsu0vpR69eNSBKxgPrgwYM8+OCDfO1rXxtwm6hIGgejrVL0TTaYR5UhmSTRamJqdhIQ/pWqunY7jaTwc+Pt4oF1D8P9UzC9cRsAD7u+SI0nddBjLPBmjQ/Ud2r9mSW+km9ZK718Up/RlZR9rylrItNbQ93c1V862Nhpp6K5G0UR7QUGo5pMHnOfD4Dy8vVw/1TY9BSg8GNup5WksJvnyEzfjLxkbGb/GamYJncuoIjJc0fdkJuPR+644w4effRRnn76afbs2cNtt91GV1cXN9xwQ7SHJgjA4VsyPTcJm9lAh91FWePxPghjAa0H9bEZXs3pOwIZaj/10xKT0cDVJ4i/P/X5ES3T+9aOGho77eQkWzl39iAGV74Z6nBliVXVr+Q73mIiySaM1MaqMZlWPz3E9w8gfCikBF/vR60Twxxq6KKl24nVXzu+oZh5kbgt+zi8JTOjjb3ejH3JiaIDQxDIOmrd6TuyBB1Q/+AHP0BRlEF/9u7d22+fqqoqzj33XL7yla9wyy23DHjsqEgaB8PXkMw0Ol1rIyXDrPNmwA+mrIBlXxcPdjWAwcQay3IedZ/fr2+0PzITrUzIEMZvx45XSr5tZqPmJNkvoPbe31rZSoLV2G8fiZR7T8lOJNk2uNyupq2Xv7ouZKN1mahZ7PL2BV75LQ4nLwb65J/hImDzmljFmiicakGYa+gcx2WXXcb999/P3Xffzfz589m6dSvvvPPOcUZlUcHZC437xP0AMtQmo4E5BWIytTUCZSbRoM6f5BtiJkMNcMXSYiwmAzuq2jRFzpOfHwHg6mUTMBsH+dpPLRa39vbwTW57WsDlvXYm9S+byRnDxmSqqmqS74Cv6XIhS3oZ6OjEIHJuNa8o9fh2fEORNRWyZwp/iL267Ftj12viNgi5t0TzT6poxT1G1WKxSNBts+68806uv/76QbcpLS3V7ldXV3PaaaexYsUKHnnkkUH3s1qtWK0xFLjK2s9RaEgmmVeUyosbK7Va3HBR7yuFPPuXMGEFJOZC3lye+PsuenbXURvAJGlRcRrlTd1sKm/hlKlZ2uMyQ13X3otHhYmZCeSl9Jk0FKfHU5AaR1VrjxZIHyv53jRUyxgfatt66SKOpyb8msVfmSGkr531MP0Cco5s4FBDl7aIEC6CnnzFIvnzRVBWvRWmnhPt0cQkt99+O7fffnu0h3E8DXvA4xKr4wOYYB3LvMJUNhxpYWtlC5cuKgzzACOPvIblRiOg1jLUJYNulp5g4Uvz8nlp01F++eZuFhansa2yFYvRwBXLigc/hyUeErLFAmJrOcQH0P4mWGQWPz4TzP1fx9xkGwfrO6kdYvF1NHKkqZu2HicWk4HpuQGWa+TOhT3/0uuodWIaKS0OqP+0P2ZeJOTNu1+HBVeFbFyjlubDULVR9KIfhvnt9NxkEq0mOu0u9ta2B68a0BkWQWeos7KymD59+qA/FouoYa2qquLUU09l0aJFPPnkkxiGaEoec8isWt78aI5iRMhgbHtlW1jrGqVELyfZBkaTuAgULwNzHHlel+zatp4hj7NAutQeaOj3uKyhPtzQBcAJpf37GiuKoj12pFFs42tKpqoqnx0QzrcLhqifFmMVE7q8FJtwVyw+AWZeCAZjRPqlOt0edngz8QHJA2MV+dnRM9SjD1+5d4CurfJ/dSwak/U63bR2i1KU4wPqCEi+A8xQA1znrZPeXNHKY58dBuALc/P6tTQckHDXUfuRe0vktTWQxdfRxlZvt43Z+cmBZ/GkMkSXfOvEMLJFk5QaB42soz70EfS0hmRMo5qdL4vbiSdDUvBqNaNB0Uooddl35AhbhCuD6eLiYu6//34aGhqora312181JlHVPkOeUZyhnpqTKPo72/33dw4VfvuzetEmSW1DB6DnzMzBZFDYUtHKrmoRULo9Kq3emuoN3pVQX7m3RBqTyQtIU5ddqyHcUtnKrup2LCYDZ84Y+gJVO5C0kz7znHDKEvfVdmB3eUiymZiYkRC284Qd+dnRW7+MPqTMNAC5t0Qu4O2t6aDH4R5841GGXGSzmQ0kxx0j7gp3htpl7zv2IDXUktkFKfzmkrlcfUIxV59QzC0nTeQH508P7Fzhdvr204Nakpsirq1jMUMtfUzmFwURdEjJd+N+rXOGjk4s0dzloMyb6BjK7HVAsqZB1gwh+9bdvmHHK+J2zleGfYjFE4S6SLYz0wk/YQuo33//fQ4ePMiqVasoLCwkLy9P+xkVtB31GpKZhK3/KKV/XWNr2M7Tl6E+PgOiZajbh54QZCfbNNOcZ9eICV1Lt0Pzxzna0kNKnJnTp2cft++ZM3JItJo44u3z6XSrdHjdYuWxvjg3X2urNRh9Gerje//lJInnUx/GDLVv/fSA/bJHA7lz0IzJOhuG3FwnhqgN3JBMUpAaR1aSFZdHZWf12Kqj9pV7H9dnNckbULdVhcfMq+0ooII5vq9F1xB8dUkRv7hoDr+4aA4/umAm2UkDtMo6lrBnqL3u434y1LljOEMtHb4XBKM4SsoV0njVA3W7wzIuHZ2RsPGISHJMyU4kNX7oudWAzLpY3O54KQSjGsXU7RLlVkbLsOqnJboxWeQJW0B9/fXXo6qq359RgZSoZs04rs5rtBEJGaZsy5XjZ9KmTZICzDpIueLrW6to7XZo0m0ZV964ciKJ1uPL/1PizVy7fEK/bZs7HTR02LUWMtetGDq7Az6T55TjFwgiYZwz6g3JJNYkyJgs7uuy79GDxwO1O8X9IAJqRVFY4P2f3eKn/d1oZkBDMujrSe/sEoZeoabliLhNLQ5Yfj9swp6hHlryPdZMyXqdbnZXi/+LoAJqRdFl3zoxzSZN7j1Cv4W53mxs2cfh9aKIdeSCwpSzIS512IeZX5SK0aBQ1dpDdauubokEo6yoOYJohmTzojqMUBAJp+/BJps5KcHVHC+ekMaMvGR6nR5e2niURm/9tEcVrcAG66N604kTsZkNyHLxpi4HL26owOH2ML8olbkB9P/0eFQt++zv+cggO5ymZGMmoIY+2bf8TOnEPs1lIjg0xUHmlKB2lR4FW8Lcqi/SyAXB3BQ/AbUlAWyp4n44JoNB1E+PmLBnqAeTfAe3+Dpa2FHVhsujkpVkpSD1eNXToOTqAbVO7LLBm6FeMtz6aUl6KUxYKdQY2/4RgpGNQlTVR+596YgOlWA1MSNPtM3dqGepI4IeUA+ErPkcxYZkEq2usbaDXmfo6xrdHpWGjoEl3zJD3Wl30dHrPO7vx6IoCtct7+ul+sHuvh7G1y6fQEr8wC2vMhKtXLWsb9L57q5anltbAQSenW7uduBwe1AU/Mok5WN17fawKC46ep1avfu8sRBQ68Zko49a7/UvZyYYguuBvtCbgRtzAfVADt+ScBqTBdCDOmRoGeoKoVQINYNkqOVr29hpx+UOw7mjhFRrLChKPb5cYChy54hb3elbJ8bodbo189QlI81QA8y7QtxufSE8pTOxTvnn0FYBlkSYeu6IDyfrqDd5Fz10woseUPtDVceEw7ckL8VGZqIVt0dld03o5YhNnXY8qpBZZ/hxkU2wmkiyCYl2oFK+L80vINlmoqq1hydWHwHE8W86ceKQ+956cqmminzkv2XUtveSkWDh/DmB1e/L7EhGgtWvG6s0JXO4PLT1DL1AECw7q9pRVVGPGpArb6yjG5ONPqQhWRByb8mcwhSMBoXa9t4xJTWrax8kQw3hNSaLZIY6pRAUI7jt0BkGE1EtoD4+Q52RaMVoUPCo0NAZPo+KSCMXlxYOp61QnlclV7cLPGPL6E9ndLOtshWnWyU7yUphWpDKC3/Mukj4RDQdgKpNIz/eaGPTU+J29pdFd5kRIuuo9Qx1ZNADan+0V0NXg5hU5M6O9mhGjKIozC0UxmQ7jobeKEhKubOSxGTIHzLzUBOglC/OYuRPVyzggrl5ZCeJoHLZxHS/Afux5CTbtCxZbrKNL8zN44HLF2A1BZZp65N2+j+X1WQkzZslD0frrB1VrQDaezbqkUFZWyV0NUV3LDqBIbNhQTh8S+ItJqbnCqnZWMpSa9eFATPUYQyoZQ11+tALiiPGaBZBNYRe9t3bDo4OcT/5+AVOo0HRrvdjSfYtPwcLhqM4Si8FcwK4eqDpYEjHpaMzEmSgtqQkPXjlhT+sSTDjQnF/6/MjP95oorsZdr8h7i+6PiSHlBnqPTXtdHoNenXChx5Q+0MzJJseklWiWEA6fW8PS0A9iFmPl+HUxp06LZuHrlzI0onionBGAO2uJHLbFZMz+POVCzlxSmbA+/ZJOwd+78NpniPfo9kFYySgtiVD+iRxv2ZLdMeiMzSqOiyHb18WanXUY2dlXOtkMGCGOoyS72bRS5q0ktAf2x/yPDKQDxVyscGWKurO/TDWjMmqW3uobe/FaFCYM5xFUoMRcrydRnTZt04MIeunh91/2h/zvbLvHa+Mr1Zx2/8pVEE5cyB/YUgOmZtiozAtDo8Km/UsddjRA2p/aPXTo9+QTKJlqL3Zz1AizbkGa8uSO4JJ0mAtrAYibwTmNnWDOHxLssM46ZM1SWMmQw267Hs00VnnVegYIHvmsA4hnYy3hNEIMZJ4PGrfdSHSGeqeFuhtFfcjIfkGn4D6cGiPO4ghmSTYrhCxjsxOz8hLIt5yfHeKgNCcvvXrp05s4PaomsN3SOqnJSUnQ0ox2Ntg5yuhO24so6qw+Wlxf9F1Ie3kIBNS6w/rddThRg+o/aE5fM+P5ihCisxQH6zvpNsRWulHXZvMUA8cgMoAN1DJty+DtbAaiJwR9DOtCSCAz/HKEus7Qiv5but2Uu7toz1nrGSooc+LQHf6jn1k/XTGFLDED+sQ0ul7R1UbDtfoN5dq6nLg8qgoiiht8UuyTy/qUCJl1wnZYE0M7bEHItwZaj9yb4mmZgpDOU006DMkG0EWTxqTyVZ2OjpRZn9dBx29LhIsRq3EJyQYDLDkJnF/3d/GhznZ0Q1Qv1t01ZjzlZAeeql3sWO9bkwWdvSA2h9jMEOdnWwjJ9mKR0Xrhxkq6gZpMSXJ9QanwQbU/TJDQWWoxba1bb1BO3HXtAmZ0WDPJ1yyxJ3VIjtdnB5ParwlpMeOKnqGevSgGZLNGfYhSjLiSYs343B5wmKEGGlktjQz0YrZOMDXZkqRuG07GtpJoAxqIyX3hr5a7VAH1G2V4la+Vn7oKw8aG3LPzTKgDqb/9LHkyIB6x/gIMHRino3eAG1BcRqmga6Jw2XhtWCyidKjynWhPXYssvFJcTvr4hH1nvbHEm+GemtlK3aXbmoYTvSA+lg66rzOpgrkjH5DMl/mFKQCoa+jlpLvwTLU0gGysrk7qGM3dztwulVvC6vAM9RSNtjtcNMRpBlDZbOYyBUN4lopn2uoA2r53gyr1i6WkcFZa7mQsOrELlpAPfzrn6IoWpZ6LNRuDdkyCyDVGyQ6OkL7P94S4fpp33OFOqBuFS0MSS0ecJPcEaiLYg2Hy8NO7wK2/DwMi+wZogSju1GUZOjoRJn1R8Q1LqT105L49L4+zOsfCf3xY4mOWtjxkrgvM/MhpDQzgcxECw6XJyymxDp96AH1sUgznswpkZPXRYi+OuoQB9TeDHX2IJPNonQhHT3a0hNUxjigzJAf4ixGkmWrriCy4m6PqrX6kWP2R18NdWhliZrD91iSewPEpfXVf8qATSc2qfPKSkeQoQafftRjoI66NgDjRcxxQpYNfYFjKIhGhlqeq7MOHMEtgg5KAAF1TpiurdFgV7UoeUiLN1OSMbzyCUCUXmRMFvd12bdOlFFVlfWHRceOZRMzwnOSpV8Tt7vfgPaa8JwjFlj3N/A4oegEKFwc8sMriqK5feuy7/CiB9THIh2+h+luG8vIrOf2o60hPW69nGwOYkqWn2pDUaDH6aax0xHwsYdsVTMIecOQmde09eDyqJiNSkCS73o9Qx040lhHl33HLo4uaDwg7ueMMKCeMHYy1HWar8IQ1yEZKIYjoI5EyyxJXBrYUvqfPxRoAfXA5mq+HSGCLdeJNaRp06IJaSNvK6TVUetO3zrRpbypm7p2OxajYWSlDIORNxeKl4PHBRsfD885oo29s++5rfifsJ1GNyaLDHpAfSxa/9WxUz8tkSZXZY1ddPQ6Q3JMh8tDU5cIkAeTfFtNRi0ormwJPOPRZ0gWfECdkxK8dFDKvQtS4wbsqQ19z7W+w47HE5pJX3OXg6Mt4vxjpmWWL/Izpbd+iV3q9wCqyLQmBd6mzh/zClMxKFDV2qP5EoxWAr4OhTOgjmSG2vd8oQqo3c4+l+8AJN89TjftvaO7d2pf/XQIZLGyBG0UK3weeughSkpKsNlsLFu2jPXr1w+6/UsvvcT06dOx2WzMmTOHt956K0Ij1RmMdd7s9LyiFGxmY/hOtOzr4nb9I6KH/Vhj6/PQ2ybaik47L2ynkQH1piMtuEM0X9U5Hj2gPpYxaEgmyUy0UpAah6rCrhAZkzV0Clme2aiQNoSJVlGakLwFU0c9ogy1lA4GkaGWwf5gcm8Qr6WigMuj0twdeMZ9MKQUf2JmAsk2c0iOGVNIp289Qx27hMCQTJJgNTEjLxmAzeWtIz5eNKkLRPINoQ+o3U5o9Rp5RTygDrExWXsVqB5hNpSYPeBm/cp1RnEdtaqq/TLUI0aq5upGp+T7xRdf5I477uCee+5h8+bNzJs3j3POOYf6+nq/23/++edcccUV3HTTTWzZsoWLLrqIiy66iJ07R+fzH0us82Y6ZaAWNmZ8ETKniaBzrNVSu12w5iFxf/k3RL/5MDEjL5lEq4kOu4u9tWNwYSJG0ANqX3pahGkShGRCGYvILHWoZN9ywpOdZMMwSEYXoDBdSLBlFjYQQpGhrgliUnbUG+wXpg0eUJuNBjISQmtMtsP7noypdlm+yAlh0wEhLdaJPUJgSOaLDCQ2jXLZd8ALe6EOqNuOguoGoxUSc0NzzEAJdYZaviYpRUP2WfWVfY9Wqtt6qWu3YzQozCtMHfkB5Zyk6WBo69ojxO9//3tuueUWbrjhBmbOnMnDDz9MfHw8TzzxhN/tH3jgAc4991y++93vMmPGDH7+85+zcOFC/vznP0d45DrHsq5MBNRhq5+WGIxw8nfE/TUPCYn0WGHHP0W8EZcO864M66mMBkUrwdJl3+FDD6h9kZPJ1GLhMjgGmaMZk4VmlUqrnx5E7i2JeIY6ZTgZamlINnSLLk32HSLzHK1+eqwG1Ek5IihQPVC3K9qj0fGHZkgWGg8JLaCuGOUBtbawN8R1TtYGhyqg9pV7GyL8dR2ugHoQubckZww4fctFpFn5ycRZQpB9SsqBhCxx/azfM/LjRRCHw8GmTZs488wztccMBgNnnnkma9as8bvPmjVr+m0PcM455wy4vU5kONrSTVVrD0aDEhrlxVDM+jKkl0JP89ippXY54OP7xP2V3xamg2FmmVdNIBdDdEKPHlD7Ims7x6AhmWRuiI3JZMCbPYghmUTKqIdTQz2kGZAfZBAejCmZDPaLhshQQ+gnfTKgnjsWDckkujFZ7OLx9DkIh6hl4EJv7eiuqjZ6naOzB2a3w0WHt5Y3KMl3KAy1olU/7XtO2bZrpAQRUOcOo1wn1pBmfAtDUT8tGaXGZI2NjbjdbnJy+vsy5OTkUFtb63ef2traoLYHsNvttLe39/vRCS0ywzm7IIUEqyn8JzSa4KQ7xf3PHxwb6rbNT4vrYWIOLL01Iqc8oVSoCdYebgqZ749Of/SA2hetfnp+VIcRTuZ6e1GXN3XT1j1yYzIp3y4YpGezpEjrRR2E5Ns7ocoZjuRba78S+hpqEM7lIFZsR0p9ey+17b0oyhg1JJNoxmR6QB1ztBwGZ5eocZUtekZIYVoc2UlWXB5VWzAabchrUILFSNJQ3gah7kUdjR7UEi2gLheLLSMlmIB6GIaSsUZI66clcqFrlNZRh5v77ruPlJQU7aeoqCjaQxpzyID6hHDXT/sy9zJxPepqgNV/itx5w4GjG/77W3H/5O9GJDsNIlETbzHS2u1kb21HRM453tADal/kqm/e2M1Qp8SbmeDth7nd2/N4JFR4M7rFAQSgMkitbu0JyGmw0+6i0y4yQyORfDd1ObC7hs6O9TrdWu/TogAWCORzrghigWAgZLAxOSsxMqu+0UKqP0ZZhmVcIEtesmeKrEAI8baJpgAAVgNJREFUUJQ+WeDmUSr7DmpRL9S9qKOZoU4pAsUIbjt0DpwVDJjhSL5HaYa62+Fid43IjoY0oNaun6PL6TszMxOj0UhdXV2/x+vq6sjN9e8NkJubG9T2AHfddRdtbW3aT2Vl5cgHr9OPiBmS+WI0w5k/FfdXPwBtVZE7d6hZ/wh01onr4MLrInZas9HAkhLxnq0pa4rYeccTekAtcXRB435xfww6fPsy12uQEoqMkRZQZwQmkTYbFVweNaA2OnIylWQzDSvITI03YzGJf/FA6pyrWsWY4i1G0hMGdywHKE5PAKCiaeQSpO1VUu6dOuJjxTTys1W3W9QR6cQOITYkk0jJ62g1JqsJtAe1JJTGZNHoQS0xmvoy7qGoow6gB7VEqn+CKdeJJbZVtuH2qOQm28hPHXpxNmDkZ7N2Z2hUAxHCYrGwaNEiVq1apT3m8XhYtWoVy5cv97vP8uXL+20P8P777w+4PYDVaiU5Obnfj07oqGvv5XBjF4oCi0si7DM08yLRl9rVA6t+Ftlzh4r26r7s9Kl3gWnoeWYoWT5JyL7XHNID6nCgB9SSul3C7CMxB5Ii7KYaYeaGyOlbVdWgMtRGg0JBauCy75EYkoHIjuUFIR30rZ9WhnChBd8M9cgl39Lhe0zXT4MINmyp4HFCw+gy1hnzSBlpTmg7HEh30c3lLaihqCuOMNWtfb3pAyIcAXU0MtS+5x1pQN2vB/XQMlwZhFaP0v7lUo0RctOmjCnC8d3ZFbra9ghxxx138Oijj/L000+zZ88ebrvtNrq6urjhhhsAuPbaa7nrrru07b/97W/zzjvv8Lvf/Y69e/fy05/+lI0bN3L77bdH6ymMe1YfbASEcWpKXIRbeyoKnPNLcX/7P6BqU2TPHwre/RE4OqFwCcy9POKnX+6to153uEnvRx0G9IBaIiWoY7Rdli+a0/cIM9SNnQ66HW4URdRKBkIwxmQjaZklyQnCmCwYh2/oy8q3dDtp7x1+PbqqquPDkAzEl6JmTKbLvmMK6bwe4gz17IJkLCYDTV0ODjeOPkOZai1DHeGAurtZ9F+FgLK6YUEG1M0jDN5kD2qjtU8SPwjytW7tdtLtcI3s3FFAqjEWhjqgNpoge7q4P8o6JVx22WXcf//93H333cyfP5+tW7fyzjvvaMZjFRUV1NTUaNuvWLGCF154gUceeYR58+bx8ssv8/rrrzN7dmivTzqBs/qgyGyumJQZnQEULOoLRP9zh+jlPFo49BHsehUUA1zw+8h3bUB0HEiymujodbG7WjfsCzV6QC0ZBw7fktkFKSiKmCg2dAy/5ZPMzOYl27CaAmsLIgPqowFkdWu92YnhZqh99w3ELTbQHtSSRKuJDK80vKJp+Fnq6rZemrocmAwKM/LGgURtlNYBjml6WqDNW2+YMyukh7aajMzzLhRtHIWy72FnqNtGWL8pg9jE3IgZ1xxHmldq3nxoZMfR5N5FAU0kk20mEr1lPtWto0v27fGobDwi6kyXlIShrZBUkIxCY7Lbb7+d8vJy7HY769atY9myZdrfPv74Y5566ql+23/lK19h37592O12du7cyfnnnx/hEetIVFXVMtQnTo5SQA1w1r1gS4GarfD5A9EbRzA4e+Etbz/tpbdGzafJZDRote9ryhqjMoaxjB5QS+TkfgwbkkkSrSYmZSUCsGMExmQVzSLbFEj9tES2owpEJj2SllmSoCTfQTh8S+RzH4nse3tlKwDTcpOwmUPQrzTW0Y3JYo+63eI2pVhMVkKMrLeTgcZoQvo95KUGWkMdol7U0tMjc8rIjjMS5LkbD4zsOEEYkkH/cp1A/DZiiQP1nbT3uogzG8OzQCoXvEZZhlpndFPW2EVtey8Wk4HF4VgoCpSkXDjvN+L+x7/u++6KZVbdC00HRUnpaT+M6lBk+yy9jjr06AE1CNlIvfdDOQ4y1NAnLd5WOXzZd0WTmOgEUj8tkXJqKa8ejJG0zJIE4xYr67oDcfiWhKKOus+QbIzLvSVaL9XRZawzppHZrhDLvSWLvdLX0ZahVlWVKu+1KmBzqVD1om7yBrFRDainesdyaGTPJciAGnzqqFtHV0C9sVwsGi0oTsVsDMMUSzMm0xU+OpFDZqcXT0iL/sL/3Mtg6rngdsAb3xAeDbHKgQ9g7V/E/QsfDMuCdTBIY7INR1pwuvX5VyjRA2oQExdXL1gS+yRuYxxpTLajavgBdbk3Qz0hIyHgfWSGujLCGepAshzDyVBP8G5bPgLJ946j48ThW5LpNdZxdEDrkWiPRgf6JuchlntLpDlTWUMXTZ3DLzOJNO29LrocouVefsA11F7TLXs79LYO/+QyK5wRxYA6rQQMJmGC1V49/OOMIKCuGmWS741HxKJR2FyQZS/q1nLo1esgdSKDDKhXRlPuLVEU+MIfRXBavQXevzvaI/JPZwO8fpu4v/RWmHpOdMcDzMhLJi3eTKfdxVavOlInNOgBNfTVT+fMjopRQDSYo7XOah22867mih1UhlpsW99hp9c5cG9oVVU53CAC9qIAa5oHO9/hxq5Bn2dHr5PWbme/fYI5fiALBP4QhmStgHDOHBcYzZAzU9zXjcliAykfzQlPhjo13sLUHFFmMpqy1HIhLi3eTJwlwKxMqHpRN8ZAhtpo7ltklhL04RBEyyxJvlwMHWUZ6g3hrJ8GiE+HpHxxv34UyF11Rj1uj6pJhFd4M5xRJzkPvvSQuL/2L7Dj5eiO51jcTnjlJuiqh+yZcFZstPoyGhRtUeS/+xuiPJqxxfiIHodC1nKOg/ppyaz8ZEwGhcZOB0cDkF/7Q2ZlJwQRgKbFm0nwTkyPDuL0XdXaQ5fDjdmoUJIZeAb8WCZnJ6Iowom7sXPgvsdS7p0Wb9bMcAJBZudltj5YDjd20d7rwmoyMC03aVjHGJVosm9dthh1PG6o97YwC2OXg0UTRMZuNPWjlnLjgB2+JTIT21I+vBN73NBcJu5HM6D2PX/TweEfQ74OKUO3zJKMxtZZtW29HG3pwaDAguIw1pnqsm+dCLKzqo32XhdJNlNsLfzP+CKcdKe4/8btoowsFlBVYUJ2+BMwJ8Alj4mF1hjh5KlZgB5Qhxo9oIa+L6Vx0DJLYjMbmZUvDFNkz8xg6HG4qfc6hAdTQ60oCpOzRaZqb23HgNvtrxN/m5SVOKI6NJvZSIk36JXH9MfeWiGdk2MLFPncq1t7h1WPIoOLeYVhqreLVXRjstihuQxcPWCOD2u/Y5mx2zCKjMmkw3TA9dOS9FJxO9wgtLUC3HZRGhFEEBoWMiaL2+FmqB3d0H7Ue6xJAe8mTeBqRpHkW9ZPz8hLDmphNmh0YzKdCLL6kJB7n1CagSnW5imn/QgmnS6+w56/FFqORHtEsOYh2PQUoMClj4etlGq4nDxFBNTbq9po7ho40aQTHDH2yYgCqurTg3r8ZKihbwV98zAyRrLeOMlmIjXeHNS+M/PFCueuQfrg7avtBGBqzsiztlJqum+QAF6OZVZ+cKuv2UlWrCYDbo86LPMcuZixYEJq0PuOavTWWbGDfA+yZ4IhfGYzS7w1pTur2uhxDFzuEUv0tcwK0sdBmnkN1x1bBuIZk8L6ngREqJ5LXBrEBy4XLdBqqHuGXZYUaWT99JJw1U9LZGnGKGydpTP6+HifyGSeNCUG6qePxWCESx6HrBnQUQPPfAnaa4beL1xsfhbe+7G4f86vYNp50RvLAOSm2JiWk4SqwmcH9fZZoUIPqNurRA9Wgwmypkd7NBFFGgVtGkaGWvZdLk6PR1GUoPaVmfHBAmqZTQ6FDHqaNygfLEO902vOJscWKAaDotVRD8fpW2aoF4VTHhiL5MwCFPEF2KnLjqKKVj8d3lX0wrQ4cpKtON0q27y+AbFOjbc7QF6wGeosGYTuG96JY6FllmSkkm/tuUwTZkIBkuutoba7PLR0x7CLrw9SfRH2tkJaQL1b75SgE1baepzaPOW0adlRHs0AxKfDta8Lv4eWIyKobquK/Dg2PAb/uh1QYdnX4YTbIj+GADl5ql5HHWr0gFqaImVOA/Pw3aRHIzKg3lPTQbfDFdS+5d7gcUIQPagls701OLuq2gbMPMhsckgy1N6gfN8AAbWqquyuGV6GGobv9N3W4+RAvcjEL5wwzgJqa2Kf/FOXfUcXrWVWeEteFEVh8YTR1Y+6qjXIllkS36zucLKrseDwLZFjaKsExzC8Ioa5OGA1GclMtAKjo3VWp93FHu/3iPw/DxsZk0U5gLMLWg6H91w645pPDzTg9qhMzk4MyrA14iTlwrVvCMO+xn3w2JmRU8CpKnz6e3jTW899wjfg3F8HtYAYaWQd9acHGkaNAijW0QNq+YEbR4ZkkvzUOHKTbbg9atD9qIfj8C2ZnpuE0aDQ1OWgrv34Fjout4eDDSLQnBaCgFrLUNd2+L1wVDb30NHrwmI0MCUnuBpqGL7T99bKVlRVLErIieO4QjMm0wPqqBJmh29fFmt11KPDmEy6fOcH27ovvRQUg2id1VkX/IllNjgWMtQJGRDnDRCbDgW/vxZQTw16Vym1Hw0B9ebyFjyqUGLkjqDVY0AYTZA9Q9zX66h1wshHe0UG87RpWVEeSQCkTYAb3xEJso5qeOJc2PtmeM9p74CXroNV94rfT/w/IfWO4WAaRFmKzWygrt0+YLJJJzgiElDb7Xbmz5+Poihs3bo1EqcMHK1+evwYkvkis9TBGpOVN3l7UKcH78BtMxuZlCX221V9fCBf3tyNw+UhzmykMG3kzoglmQmYjQpdDreWcfJlp3cM03KThmUMJrP0wWaox63cW6LXUUefnhaReYS+VmZhZOnEPqdv1zBM/CKJ26NS2zZMUzKTtc/grWEYsm8ZhMZChhp8ZN/DqKOW2fasaUHvqjl9j4KAev1hobqQ/+NhR6+j1gkzHo/KJ/vrAThteozKvY8lbQLc9B6UnASOTvjHlcIB3B6GoLFyPTx6Oux+AwxmuOB3cMY9MR9Mg5iHn1AqPC0+2afLvkNBRALq733ve+Tn50fiVMEzDh2+fZFS42Bb2ch64WAcvn2ZNYgx2X6v3HtKTiIGw8gvTGajgdJMkXn2V0ctg/pg66clxcOsoZZmcONO7i2RAbXeizp61Hn72KYUgy387VCm5yaTZDN55bGxvSre2GnH6VYxKMJ8MGgyvQFksO7YvT5Z7czJwZ83HMiAOlhjMo97RNl22a6sui32nb5lQL0sUgG1bJ2lZ6h1wsSOqjYaOx0kWk3hL2MIJXGpcPWrsOJ/AAW2PAt/WQHbXwqN50B3M/z72/D4WeL6npQPN7wNS24eFcG05FSv7HvVnvooj2RsEPaA+u233+a9997j/vvvD/epgqe3DVq9/THHa0BdnAqIDHWgdRROt0fr2zycGmroC16lGZgv++tC5/AtkXXU8ti+9Dl8Dy+glr2ojzR14fYE9hq6PSpbK1sBWDhuM9TeCWHzIdFaRyfyRMiQTGI0KCz2LiCtj/E6apkVzU22Da9VzHCDUJkFTsyJyCJHQGQM87m0VoCrV9T7pk4I+rT5o0Ty3et0s9VrtBd2h29JtldRogfUOmHiw70i0DppSiYW0yirEDVZ4OxfwPX/EQvGbRXw6s3wt5NEYO0cxjWltQLe/gH8Yba3LRYw/2r4+mdQtCSkw48EZ83KBUS7v8bO48svdYIjrJ+Quro6brnlFp599lni44cOvOx2O+3t7f1+wor8IkopEi09xiGz8lOwmAy0djspawzMcGZfbQcOt4dkm2nYkuxBM9TS4TuEAfU0b230fj+ts3ZWeQPqguFNXidmJhBvMdLtcFPWcHzA7o/9dR102l0kWIwhcTIflSTmQEIWqB6o3xPt0YxP6iMbUAMsnShkZusPN0XsnMNh2D2oJZnDdPqOJUMyyXAl39pzmTys9l+jRfK9/WgbDpeHzEQrEzODL4MaFvIz23IY7IF97+joBMNH+0aZ3NsfJSfCN9fCGXeDNUWUSLx6M9w/Fd74Jmx7UQTK/hJK9k44uglWPwCPnQV/nAvr/irMAHPnwvVvwUUPCZ+JUUhBahyzC5LxqPChnqUeMaZwHVhVVa6//nq+/vWvs3jxYo4cOTLkPvfddx/33ntvuIZ0PFLuHQEznljFYjIwrzCFDUda2FTewqSsoU25ZGZ1XlFq0C2zJDO92eCq1h5aux2kxlu0v0mDhKkhDDRltvtY84X69l4aO+0YFJiRO7wMtdGgMLsghfWHm9la2cqUABYCpMR+QXEaxhDI2kcliiI+e2UfCS+DwkXRHlFE+eUvf8mbb77J1q1bsVgstLa2Rn4QWoY6/PXTElljuuGIUMUM9xoSbqQhWdAtsySyZjjYrK7cPhYMySTa4sBBMfEM9D0bYfsvGVDXxLjkWy4OLZuYHrn/54RMsSjZWScWJEdhhkwndqlv72X7UaEgPHU0GJINhiUBTroTFt0A6x+BLc+LjPWW58QPCBWNVAW5ekVHg47q44818RQ48X+h9LRRJe8eiLNn5rKzqp33dtfy1SVF0R7OqCboDPUPfvADFEUZ9Gfv3r08+OCDdHR0cNdddwV87Lvuuou2tjbtp7KyMtjhBYdWPz1+A2roq+FdVxaYBHObDKgLU4d9zpQ4s1Z7vNsnS213uTnszZSHNEPtDc4P1Hf2k2XLDHlpViJxluAzKJJ5hSK7HWh/3XXeertxWz8tyR2/xjoOh4OvfOUr3HZblHpVejx9NdQRXFScU5CCzWygucvBoQAVHdGgr2XWMB2bM7z1z+1VwRniNOwVt7EUUKeVgMEkMjNtQXwvy+z8MAzJoO+1r2vvjWkTu/Ve1/ol4e4/fSwyS12vy751Qss7u2oBWFCcSnbSGGkpG58Op/4Avr0Nrv0XLL8dChaJa5vbLoLsuh1CiSOD6cQcmHwWnH8//N9uuO5fMOn0MRFMA5w9KweA/x5opMseXPtcnf4EnaG+8847uf766wfdprS0lA8//JA1a9ZgtfY3c1m8eDFXXXUVTz/99HH7Wa3W47YPK+PckExy0uQs/vZJGZ/sb8DjUYc0ApOrlvOKUkd03ln5yVQ0d7Ozuo0Vk0WT+bIGUYecbDORkxy6/4WitHhsZgO9Tg/lTV2UejPxsoZ79jDrpyXytZCvzWC4PSqfHhCuiidNyRzReUc9mtP3+AuopRrnqaeeis4AWstFgGS0QvqkiJ3WYjKwoCiNNWVNrDvczOTs2Cx5qJGS75RhZqjj00VJQ1eDyDoXLAzwxNvEbd684Z03HBjNoma3djtUb4XU4sD207LtwbfMAshMsGI2KjjdKnUddgqGqxYIIy63h01HpMN3hKWfObPg0Id6HbVOyPnP9hoALpiTF+WRhAGDAUpPET8ALjt01Aq1h70dTHFgjhO+D6NUzh0o03KSKE6Pp6K5m08PNHDu7DH4fkeIoDPUWVlZTJ8+fdAfi8XCn/70J7Zt28bWrVvZunUrb731FgAvvvgiv/zlL0P+RILG7eqr2xzHkm+AJRPTiLcYaey0s7tm8Lr1LruLA/Ui2yKzssNFmoBt9OlJu+aQkM5Ny00KqXTOYFA02ffnh/pqNzd524XJmu7hIrP1e2rasbvcg2677Wgrrd1Okm0mFoxwUWLU49v6JRTum2OYkHtMyEl41jTR1zaCSNm3dEaORWSGOm8kPYU1qXSAsu/OBm8GWOlbbIoV8heI2+otge8zQsm3waBoTt9VLbFZR727pp0uh5tkmynyfhjZ3gy1VJro6ISA+vZeNngXic4biwH1sZisot1W0VKYfCaUrBQLoGM8mAZQFIWzZ4os9Xu76qI8mtFN2EzJiouLmT17tvYzdaqYWEyaNInCwsJwnTZwmg4IiYclEdImRns0UcVqMrJikrcf3f7B+9HtrGrDo4pJZnbyyGRAp04TRhfv76ljd3U7vU43D39yCIAL54W+zZo85l8/PoTD5WFbZSsf72tAUUZeI1SYFkd6ggWnWx2yHdDH+2R2Omt47sFjicwpIkPq6ITWI9EeTUxz3333kZKSov0UFY2w3inCDt+++AbUgXYXiDSVLd7WgMPsZAD4BNQBts6q2erdbwrYRqaaCTnBBtRdTdDtXbwcgcFaUboIqCuDbEsYKeSi0OKS9Mj7YcjPbt1O/6ZKOjrD4J1dtagqzC9KjUlViE5oOcsbUK/aW48zhktrYp3xO5uXEtOcWUL+Mc45xRvcDtXgXdYIj6R+WjK7IIUL5uahqvCbd/fy3Npy6r2yvnCYI1x9wgRykq1Utfbw4sZK7ntbKBQuXlAQkJHYYCiK0ldH7a0xH4hPvM6Zp0wd5UYfocBohuzp4v4YkH0H6jExHELuMREFh2/JguJUTAaFmrZejsZg5rG910lrtxMQ5SLDJlinbxmsyuA1lvANqAMJ3uQiQkoxWIb/GkqvDbnAEWtIP4yItcvyJWsaKEbobYV2PwZKOjrD4M2xLPfWOY7FJelkJlpo63Hy3yGSajoDE7FIsqSkBFVVmT9/fqROOTh1usO3L7LB+6aKFtp6nANut61S1AjPLQpNf9TvnD0Nk0Hh430N/P59MQH7n9MnYzUN3yBsIGxmI988TRgF3ffWHtaWNWMxGrjjrOHV9x3LXO8iw2ABdVOnne3euu1TRrtzZqjI8XoYSE+DUcydd97Jnj17Bv0pLS0d1rGtVivJycn9fkaEzFBnR87hWxJvMWm+A2vKYq99lsyGZiRYSLCOQA4vA+qGMRBQZ88Eo0UEby1Hht4+ROZqhd4FjYoYzFB7PKqWoV4+KQryUJO17/Wt12XfOiOnvqOX9ZrcOzfKo9GJBEaDwhe9Cs7XtlRFeTSjl/GbmtUNyfpRlB5PaVYCbo/K5wcbB9xOZqjnhyBDDaKH8xVLhcFNt8NNcXo8lywKX0nAZUuKyE+x0e0Qdc7XLp+gTdhGynxvgDCY0/enBxpRVZiRl0zOCCXzYwb5GRwDTt+BekxEHUc3NInyimgtKp5QKjJ6a2M4oC5KH+G1QRqLNe6HnpbBt4XYDqhNlr7/lUBk30c3itv8+SM6rZahjsGAek9tO209ThIsxhEbWw4bX9m3js4IeXenkHvPK0oN2dxIJ/b58gIx735/dx3tvQMn1XQGZhwH1N4vHz2g1jh1qpB9fzyA7Lup067JM2eP0JDMl2+dMYV4b8uqb50xBXMY64qtJiO3ny5W9JNsJi1jHQrmel+TQw1dA16QPtbl3scjW2eNgQx1MFRUVLB161YqKipwu92agWNnZwRaSTXsBVSIz4TE7PCfzw8nlIqM3rqy2KujltnQ4pEG1IlZfe2zKtcPvm17DXTUgGKI3e+lYOqoK9aI26ITRnRK+R7EYoZ6rbfV5JKJ6dHzw5AKE92YTCcEvLJZZCi/oMu9xxWzC5KZnJ2I3eXhnZ210R7OqGR8BtQdddBVDyiQPSPao4kZpDHXJ/sb/E5wZUuoSVkJJNvMITtvVpKVR69dzD1fnMmXFxSE7LgDcdmSIn58wQwevXYxaQmhyxZmJFopTBMGHjv9tM9ye1T+e0Bk/0dqgjamkBmWtsrAsnhjhLvvvpsFCxZwzz330NnZyYIFC1iwYAEbN24M/8k1Q7KZUeunuWhCGiaDQlVrT8zVUYcsoIa+gLJi7eDbSUOyrOlgSRj5ecNBoAF1Zz00HwIUKFoyolPK96Cu3U6vc/AOCpFGdqWQi0NRQeuUoLfO0hkZ+2o72FrZismgcFEE5mI6sYOiKFzsfc9f26zLvofD+AyoZf10xuTYnbhEgaUT00mwGKlt7+UjbybVl1V7haX+SPtP+2Pl5ExuWDlxyB7YocBoULj5pNKwTIKk7PuDPce/fu/tqqW5y0FKnJlFE9JCfu5RS1yaMC6CMWFMFihPPfUUqqoe93PqqaeG/+RaQB09D4lYrqOuaBYBfkgC6uIAA2oZpObNH/k5w4UMqGu2Dd7mTj7X7Jni8z0CUuPNJHnr2I/GkDGZ26Oy/nAsBNTeBcnGfeByRG8cOqOeFzcIo8szZmSTlWSN8mh0Is2X5os66rWHm6huja1F7tHA+AyofR2+dTRsZiNXnTABgD9/eLBflrqp085LG48CcGkYa5xHO7L++8UNFbR198m+VVXloY8PAqJuO5yy9lFJrp5liSj10TMk82W5NxCJtTrqkNVQAxQvF7dVm8BlH3i76q3iNhbrpyVZ08FkA3s7tBweeLvKdeK2eGRybxCZkyKtjjp2Jnl7atpp73WRaDVFr34aIKUQrCngcYl2oDo6w8DucvPaFjHHuywMXVZ0Yp/CtHiWTkxHVXVzsuEwPmf1ctKeqzt8H8vNJ07EYjKwuaJVqw8DeHpNOXaXh7mFKdokWOd4Tp2axbScJLocbp5bV649/sn+BnZWtRNnNnLDyvHd99wvurFOZKkXLePIiW5AHYt11G6PqmVCR9SDWpIxSdSqu+19QfOxqGpsG5JJjKa++u7BZN+yflouJoyQWKyjlotAS0rSolc/DaJkQ5auyc+1jk6QvL+7jpZuJ7nJNk6eopekjVdkwuyFdRW49J7UQTG+A+qcGDV+iSLZyTa+ulh8oP7izah2O1w8s+YIAF87eRJKlGouRwOKovC1U0RbpCdXH9Fq/v7ykXBUvnJZMekhrNseM+h1gJGjswG6GgBFZByjyMIJqZiNoo46VrKPte29ON0qZqNCbiic+BXFR/a9xv82bZXC10Mxxv5Crwz4j27w/3dHl5CEQ0gy1NC3sBFbAbVYcI6q3FsiA2r9+qkzTKTc+9JFhdFdINKJKhfOyyct3kxVa4/f0kWdgRl/nxqXXdQagS75HoCvnTwJo0Hh0wONPLX6MH/+8CCt3U6K0+M5d7bel3Aovjgvn/wUG42ddv768SEe+7SM9UdEz+tbThpeD+Ixjwyo6/eAJ7aMh8YcUu6dVhJ1D4l4i4l53hZ8sSL7lnLvgtQ4jKHydJCZWimFPpbd/xK3RUvBHBeac4aLiSeL2z3/8V9HXbVJyI+TCyA1NNLRIq/ZY6wE1G6PyrpYqJ+WyLmM3otaZxgcaeziM2+71K8u1uXe4xmb2ai1sn368yPRHcwoY/wF1I37xZe9LUXUHukcR1F6vGZO8NN/7+YvH4vs6i0nl4ZugjmGMRsN3HiikHU/sOoAv3hTyPAuWVRAboree9ov6RPBFAeuHmgui/Zoxjaa3Ds2FhRlQBIrxmQVoayflsiAumKt/yB058vidvYloTtnuJh8FliTof2o/wUCaUgWouw04FNDHRsB9e7qdjq89dOzolk/LZFeCHpArTMMHvm0DFUV3UdCUuaiM6q5+oQJGA0Ka8qa2FvbHu3hjBrGX0Dt626rS5cH5K7zZnD9ihKWTUwnPcHC3MIULl2oL0AEyuVLi5mZl0xGgoUTStO5ceVEvntOdOW1MY3B2FfPq9dRhxd5DYyRloErJomAevXBxpioo64MZcssSd5csWDU03y8cVTTIVGPrBhh1sWhO2e4MNtg+hfEfbkQ4EuI66ehfw11LPyPrD4ksnnLotl/2hf5WW6tAHtHdMeiM6qo7+jl5U3CjOy2UyZFeTQ6sUB+ahznzhJqVD1LHTimaA8g4tR6W2bFSHYmVslKsvLTC/XXaLgkWk289e2Toj2M0UXOLCEXrd05OgKL0YrMYkXZ4VuycEIaVpOB+g47hxo6mZydFNXxhLQHtcRoFv2YD/8Xdr0Op36/7287vEHppNMgITN05wwncy6FbS/Artfg3F+L5wfQUQflMqAOXYa6IC0ORYFuh5vmLgcZidFt6bPaK49dOTlG3q/4dEjKg44aoUApWhrtEemMEp5cfQSHy8PC4lSWTkyP9nB0YoTrV5bw5o4aXt1cxR1nTdPbqAVADCytRhgtQ60Hizo6MYVuTBZ+PB6o3yvux8g10GY2sqRETOQ+O9AY5dGEKaAGWHS9uF3zEPS0iPuq6iP3vjS05wsnE0+BhCzoboKyT/oe/+z3omyjYHFIe5xbTUbyvAZx0a6jtrvcbDgiDMliJqAGXfatEzTtvU6eWyO6kdx26mTdcFZHY/GENOYXpWJ3eXjoo4PRHs6oYBwH1LrDt45OTKEH1OGntRycXWC0QHrsGOStmOyVfR+Kfh11SHtQ+zLzYvE/bm+D1X8Sj9XuEL4eJhtMvyC05wsnRhPMvEjclwsCbUdh4xPi/uk/DnlJVVGMtM7aUtFKr9NDZqKVqTmJUR1LPzSnbz2g1gmM59aW02F3MSU7kTOmZ0d7ODoxhKIofPecaYBooVXVGhtdOGKZ8RVQd9aL1iQokK3Xs+roxBSyhrqtAnpaozqUMYvMXmVO65PpxgArJ4lM39qypqj2vuyyu2jsdAAh6kHti8EAp/1I3F/3MFSsg/fvFr9PORtsMWBuFQxzvBn13f8SsvWPfw1uB5ScBKWnhvx0xTFiTCbl3ismZcRWRk93+tYJgsZOO3/1tvO87dRJGHTDWZ1jWDk5kxWTMnC4PfzpgwND7zDOGV8BtTQ7Si+NersYHR2dY4hLg2Sv8Z0+KQwPMnuVExv105LZBSkk20x09LrYWR09V9HKFhGspcSZSbaFYcFh2nlQsAic3fDE2VD2ESgGWHpL6M8VbgqXip7Uzi545SbY8qx4PAzZaYidDHVf/XQMtMvyRUq+63aJUgIdnUH43Xv76bC7mFOQwkXzC6I9HJ0Y5TveLPXLm49yqKEzyqOJbcZZQO2VkuaGrrZLR0cnhOTqsu+wohmSxYbDt8RoULT2WTJgiQblTWGqn5YoCpz+k77fp5wNt3zY19t5NGEwwHX/FgG0NUU8NuXskJqR+SLfE/keRYOOXifbjrYBsGJSDNVPA2RNE4szPc1CjaejMwC7qtv4x4YKAO7+4kw9O60zIAuL0zhzRjZuj8rP/7M7JrosxCrjM6AOoVmKjo5OCJGyRb11VnjQAurYMCTz5cQpIkCJZkAtV+BLs8KoYJp0Glz7LxFIX/WSyPKOVqxJcPJ34X+3wSWPwyWPhe1U8j051NAVtnMMxfrDzbg9KhMy4kNfYz9SzHF9vgj1+oKkjn9UVeVn/96NqsIX5uZphpA6OgPxg/OmYzEa+HhfA69vrYr2cGKW8RVQ13on6THibqujo3MM8rNZqwfUIcdlh0ZvHVSMSb6hL+O3sbyFXqc7KmM4WC8C6slZYTabKj1FSL/HCnFpoqbalhK2U0zyvieNnXbaup1hO89grD4oTPNiLjst0WTfesmMjn+eXVvOusPNWE0GfnCe7iWkMzSTs5P41hmTAbj337tp6LBHeUSxyfgJqN1OaNwn7usBtY5ObCLVI/V7RIsnndDReABUt5DnJsdezdykrARyk204XB7WH26Oyhhk9nNSdgy5N+sAkGA1kZciWmcdjFIt36cHGoAYrJ+WaK2z9kR3HDoxyd7adn7xpvjf+N650ylMizGVhU7M8rVTJjEjL5nWbic//dcuXfrth/ETUDcdFA6kliRIKY72aHR0dPyRPgmMVmF01Hok2qMZWyRkwjn3wYnfDotp1EhRFIWTp4rM33/3N0T8/KqqckhmqPWAOiaR74t8nyJJdWsPB+o7MShwYiz1n/Zl0ulw0ndgziXRHolOjNHrdPOtv2/B4fJw2rQsblxZEu0h6YwizEYDv710LkaDwps7anjG279cp4/xE1DL+unsGcJMRUdHJ/YwmoS5DuiyxVCTlAvLvwEn3RntkQzIyVOzAPjvgcgH1HXtdjrtLowGhQmhbpmlExKk7DsaGWqZnZ5XlEpqvCXi5w+I4mVwxk9EYB1DNDc3c9VVV5GcnExqaio33XQTnZ2Dv4ennnoqiqL0+/n6178eoRGPLTwelbte3cH+uk4yE6389ivzYqvlm86oYHZBCt8/V8zPfvaf3do1UUdgivYAIkZ9bLaL0dHROYacWVC7XXxmZ3wh2qPRiSAnTs7EoMD+uk5q2nrIS4mL2LmlIVlxejxWkzFi59UJHCnFPxiFDPV/9wuzvJOnZEX83KOdq666ipqaGt5//32cTic33HADt956Ky+88MKg+91yyy387Gc/036Pj9cXuoJFVVV+9p/dvLalCqNB4Y+XzScz0ar93e1243RGx5NAJzYwm80YjYF9591yUin7ajt5ZfNRvvH8Zl77xkpd0eVl/ATUusO3js7oQHf6HrekxluYW5jK1spWPt3fyFeXFEXs3DJImxRuQzKdYSPN4iLdD9XtUfnM6z4vVRQ6gbFnzx7eeecdNmzYwOLFiwF48MEHOf/887n//vvJz88fcN/4+Hhyc3MjNdQxyQOrDvDU50cA+O2lc7VuCqqqUltbS2tra/QGpxMzpKamkpubO6RyQVEUfvXl2Rxp6mJTeQuXP7KWZ29ayoy85AiNNHYZRwG1bBejZ6h1dGIa3al2XHPy1Cy2VrbyyYGGqATU+mp77CLfm8rmbnqdbmzmyCgJth1tpa3HSbLNxLzC8DmZj0XWrFlDamqqFkwDnHnmmRgMBtatW8fFF1884L7PP/88zz33HLm5uXzxi1/kJz/5yaBZarvdjt3e50Dc3t4emicxCnG6Pdz77108t1b0m77nizP58sJC7e8ymM7OziY+Pl6XgI9TVFWlu7ub+nrRuz4vL2/IfawmI49cs4irH1/Pnpp2vvq3NTx5/RIWj/MWbOMjoO5tgzZxUdEl3zo6MY7MUDcfAmeP6K+qM244ZWomf1p1gM8ONOL2qBgNkZnoyaynHlDHLpmJFlLizLT1ODnc2BWxrMgn+0St4IlTMjEZdQ+WYKitrSU7O7vfYyaTifT0dGprawfc78orr2TChAnk5+ezfft2vv/977Nv3z5effXVAfe57777uPfee0M29tFKc5eDbz6/mTVlTSgK3HXedG5YOVH7u9vt1oLpjIwYdazXiRhxcWKOVV9fT3Z2dkDy74xEK/+49QRuemoDG8tbuPKxddx13nSuW16CIULf2bHG+PhmkC0kkgtEv0wdHZ3YJTEH4jNA9UDD3miPRifCzCtMJclmoq3HyfajrRE7b5/kOyFi59QJDkVRtPcnknXU0iRPr5/u4wc/+MFxpmHH/uzdO/zr96233so555zDnDlzuOqqq3jmmWd47bXXOHTo0ID73HXXXbS1tWk/lZWVwz7/aERVVV7aWMkZv/uYNWVNJFiMPHLNYm49eVK/7WTNtF6TriOR/wvB1NOnxJl59qZlnDkjB4fLw73/3s11T67naEt3uIYZ04yPDLXm8K1np3V0Yh5FEZ/VI58K2Xf+gmiPSCeCmIwGTpycyds7a/nv/kYWFId/EbS910l9h5CK6j2oY5vJ2YlsrmiNWEDd1u1kW2UroNdP+3LnnXdy/fXXD7pNaWkpubm5mpxU4nK5aG5uDqo+etmyZQAcPHiQSZMm+d3GarVitVr9/m0so6oqn+xv4M8fHmRjeQsA03KS+NMVC5iWmzTgfrrMW0cy3P+FOIuRR69dxHNry/nFm3v49EAjp9//CVcuK+abp00mK2n8fB7HR0CtO3zr6IwucmaJgLper6Mej5wyNYu3d9by0b56vn3mlLCfTwZnOclWkm3msJ9PZ/hovagjZEz2yYEGPCpMyU4kP1UvP5FkZWWRlTX0AsPy5ctpbW1l06ZNLFq0CIAPP/wQj8ejBcmBsHXrViCwGs/xQl17L2/vqOHv6yvZV9cBQJzZyP+eOYUbT5yIWS9P0IkAiqJwzfISlk/K5Cev72RNWRNPfX6EF9ZVcPasHL66uIgVkzLGfLnM+AiodYdvHZ3Rhe70Pa45fbqoudx2tJWGDnvYV7kP6Q7fowatF3WEMtQf7qkD4PQZ2UNsqeOPGTNmcO6553LLLbfw8MMP43Q6uf3227n88ss1h++qqirOOOMMnnnmGZYuXcqhQ4d44YUXOP/888nIyGD79u383//9HyeffDJz586N8jOKDqqq0tBpZ1dVO+uPNLO2rImtla2oqvh7vMXI5UuKufmkieNy4ef666+ntbWV119/PaLn/elPf8rrr7+uLfiMZyZnJ/L3W09g9cFG7n9vH1sqWvnP9hr+s72GZJuJlZMzWTEpgzmFqUzPTYqYqWSkGPsBtarqDt86OqONbBlQ6xnq8Uh2so25hSlsP9rGR/vq+eri8Lp9H9QNyUYN8j0qa+wKu2mdy+3hI68h2ZkzcsJ2nrHO888/z+23384ZZ5yBwWDgkksu4U9/+pP2d6fTyb59++juFrWXFouFDz74gD/+8Y90dXVRVFTEJZdcwo9//ONoPYWQ4vGoONwenG4PvU4PvU433Q43nXYnHb0uWrudNHU5aOy0U9XSQ1VrD4caOmntPr6+dWFxKhfMzefShYWkxI9fdc0DDzyAKlcXdKLKysmZrJycyc6qNl7aWMm/tlXT0u3k7Z21vL1TGBEaDQpFaXEUZyRQlBZHdpKNrCQrafFmUuLMJNnMxFuNxFuM2ExGrGYDZqMBk0GJ2VKFsR9Qt1eBvQ0MJsicGu3R6OjoBEL2dECBrnrobIBEvXZxvHH69Gy2H21j1Z66sAfUh/SWWaOGwrR4LCYDDpeHoy3dTMgIn4nc5grRLis13syCotSwnWesk56ezgsvvDDg30tKSvoFQ0VFRXzyySeRGFo/zn/gU1q7Hcc97i9MU1VQUfGN4VT5uKqiAh5VxeMR27hVFZdHxeX24Blm3KcoMDEjgUUT0lgyMZ2TpmSSlzL+stH+SEnR29nFGrMLUphdkMLdX5zF9qOt/Hd/I5sqWthZ1UZzl4MjTd0caQrewMxsVDAaFIyKgsGgYFAUDIqQnov1VQVFAQXxmZEoiF9KsxJ44ZYTQvIcfRn7AbWUe2dOBZMlumPR0dEJDEsCpE+E5jKo3wWJp0Z7RDoR5ozpOfzxgwN8eqARu8uN1RQ+eZisP5ysS75jHqNBoTQzgb21Heyr7QhrQL3KK/c+dWrWmK//0xE1yU1dxwfU4cZmNhBnNpJkM5NoNZGWYCYt3kJmopWC1DjyUm1MzExgUlbimJPJBsvLL7/Mvffey8GDB4mPj2fBggW88cYbfPOb3+wn+e7o6ODrX/86r7/+OsnJyXzve9/jjTfeYP78+fzxj38ExELOrbfeysGDB3nppZdIS0vjxz/+Mbfeeqt2vu9///u89tprHD16lNzcXK666iruvvtuzObxqwYIFqNBYUFxmmYwqqoqde12Djd2UdHcRVVLDw2ddurb7bT1OGnrcdLe66Tb4abH4cZ1zAqU063idA9fjZAcF57QN6wB9ZtvvsnPfvYztm/fjs1m45RTTol4fYNmapQ9I7Ln1dHRGRnZM70B9R4oPTXao9GJMLMLkslJtlLXbmdtWTOnhMlhubXbQWVzDwCz8vUsx2hgTkEKe2s72FnVxtmzAneKDpZVe4U79Rm63Htc8OxNy3APkT72pzYV2TDxB4NB3BcZM5E1Myoii2YyKpgMIrtmMQkJq9VkiAkJq6qq9DjdUTl3nNkY0GtQU1PDFVdcwW9+8xsuvvhiOjo6+PTTT/1Kve+44w5Wr17Nv/71L3Jycrj77rvZvHkz8+fP77fd7373O37+85/zwx/+kJdffpnbbruNU045hWnTpgGQlJTEU089RX5+Pjt27OCWW24hKSmJ733veyF57uMRRVHITbGRm2Jj+aSh+6C73B4cbg8OlwenW8Xl8eD2qNqPRxVqEF/ViLwv8f0XsZrCszgatoD6lVde4ZZbbuFXv/oVp59+Oi6Xi507o2AwpNdP6+iMTrJnwt7/9KlMdMYViqJw+vRs/r6+kg/31IUtoN5R1QZASUb8uK5BHE3MLUzhpU1H2e5978JBeVMXB+s7MRkUvV3WOGFmfnK0hxA1epxuZt79blTOvftn5xBvGTocqampweVy8eUvf5kJEyYAMGfOnOO26+jo4Omnn+aFF17gjDPOAODJJ5/UTPB8Of/88/nGN74BiGz0H/7wBz766CMtoPat2y8pKeE73/kO//jHP/SAOoKYjAZMRgPxMS4yDktA7XK5+Pa3v81vf/tbbrrpJu3xmTOjENTW7xG30jVYR0dndCDb3MnPsM6444zpOfx9fSUf7KnnpxeqYcnkbD8qgrI5hakhP7ZOeJDv1Y6jbahqeP4vVu0R2eklJemkxOkLLTo60WbevHmcccYZzJkzh3POOYezzz6bSy+9lLS0tH7blZWV4XQ6Wbp0qfZYSkqKFiT74usaryjKcX3TX3zxRf70pz9x6NAhOjs7cblcJCeP34UXnYEJS0C9efNmqqqqMBgMLFiwgNraWubPn89vf/tbZs+OYOsqtxMa94n7uuRbR2d0ke0TUHs8QkunM65YOTkTq8lAVWsPe2o6wpJB2uENqOcW6HLv0cL03CRMBoWmLgfVbb0UhKFN0Pu7Rf30GXq7LJ1xQJzZyO6fnRO1cweC0Wjk/fff5/PPP+e9997jwQcf5Ec/+hHr1q0b9rmPrYVWFAWPxwPAmjVruOqqq7j33ns555xzSElJ4R//+Ae/+93vhn0+nbFLWGaoZWVlgOjP9uMf/5j//Oc/pKWlceqpp9Lc3Dzgfna7nfb29n4/I6K5DNwOMCdASvHIjqWjoxNZ0ieB0QLOLmiriPZodKJAnMWoSb3f3lkTlnNIyfecQj2gHi3YzEam5SYBsONoa8iP39hpZ93hJgDOCWONto5OrKAoCvEWU1R+glGYKIrCypUruffee9myZQsWi4XXXnut3zalpaWYzWY2bNigPdbW1sb+/fuDek0+//xzJkyYwI9+9CMWL17MlClTKC8vD+oYOuOHoALqH/zgByiKMujP3r17tdWdH/3oR1xyySUsWrSIJ598EkVReOmllwY8/n333UdKSor2U1Q0wlYpvoZkenZLR2d0YTRBpleipcu+xy3nz8kD4M0dNSHvM9rYaaeqtQdFgf/f3p2HRVmv/wN/zwAzLA6gMGwKCSSL21ExDZdQo4NZLtf3HLX0q5im5tKV2aKmhR3F7ZB2MquTWprHI9exo/4s+ZkLWrkrQpICikC4gbixyjqf7x/I6CgKMzDbw/t1XXPlDM/zzH3DzN3c83w+n6dTC54/aY263vsCpG7IfnPaczYfGlG7+JlvG8dmPz4R6e/48eNYsmQJTp06hdzcXGzbtg0FBQUIDdUdgapSqRAdHY333nsPBw4cwNmzZzFp0iTI5fotANehQwfk5uYiPj4eFy9exGefffZI805UR68u85133kFaWtoTbwEBAfD2rv0A9OCcaaVSiYCAAOTmPv5M07x581BYWKi9Xbp0ycC07snnCt9EVq3uvcuFyVqsQaEeUNjIkVVQigv3rhfdXOrOTge4O0Flz3my1qRLW1cA9/+GzaluNMSLXXh2mshSODs745dffsGQIUMQFBSEBQsW4JNPPsGLL774yLYrV65EeHg4Xn75ZURGRqJv374IDQ2Fvb19o59v2LBhePvttzFz5kx069YNR44cwYcffticKZGE6DWHWq1WQ61ueLXLsLAwKJVKZGRkoF+/fgCAqqoq5OTkaFfmq49SqYRSqdQnpCe7zhW+iayaZ0cgFTxD3YI529vhuSB37Eu7joTUawjyVDXbsbXzp7kgmdV58Ax1cy5Mdru0Ekcu1g73HtLZu1mOSURNFxoait27d9f7sw0bNujcV6lU2Lx5s/Z+aWkpPv74Y51rTOfk5DxynJSUFJ37K1aswIoVK3QemzVrlvbfCxcuxMKFCxsVP0mbUcZBOzs744033kBMTAz27NmDjIwMTJs2DQAwcuRIYzxl/bQrfLOhJrJKHlzpm4AX7zU2CanNO49au8I3FySzOkGeKihs5Ci8W6W9jnhz2HMuDzUagY7ezmjv7tRsxyUi00lOTsaWLVtw8eJFnD59GmPHjgUADB8+3MyRkVQZ7TrUf//732Fra4tx48bh7t276N27NxITEx9Z3t5oKstqFyUDeIaayFrVvXdvnK9dtd+Gw3JboshQT9jZyHA+vwSZ14vxtEfznKVOvXIHwP2znWQ9FLZyhHqr8NvlQpy5cgd+bs0z1zkhNQ8AMITDvYmsWlxcHDIyMqBQKBAWFoZff/0V7u7u5g6LJMpoK3XZ2dkhLi4O+fn5KCoqwt69e9GpkwmvBX0jA4AAHN0Ap4aHqRORBXJpByhUgKYKuJlp7mjITFwc7dD36doPQnUNT1PlF5Ujv6gCchmMcjkuMr66ldlTm2lhssKyKhzOvAEAeLELh3sTWavu3bsjKSkJJSUluHXrFvbu3YsuXbqYOyySMOkufZ3/wPzpZppbRUQmJpNxYTICALx0r8HZkXylWVb7Trl0BwDQwUMFR4XRBmuREXW9tzBZ8r2/ZVP9cOYqqjUCIV4qBKpbNcsxiYhI+qTbUHNBMiJp8JTePOqcnBxMmjQJ/v7+cHBwQGBgIGJiYlBZWWnu0CzWi1284WBng6wbpTide6fJxzt0ofZM5DP+JpqGRM2ul38bAEBy7m2UVFQ3+XjfJ10GAPw1rF2Tj0VERC2HhBvqex++ecksIusmwYXJ0tPTodFo8M9//hNnz57FqlWr8NVXX+GDDz4wd2gWq5XSVnsZo++TmnZJRSEEDp6/DgAYEOTR5NjIPNq7O+EpN0dU1Qgcvbcyt6Eyrxcj5dId2MhlGN6tbTNFSERELYGEG2qeoSaSBG1DLZ0h34MHD8a3336LP//5zwgICMCwYcPw7rvvYtu2beYOzaKNDPMFAPzw2zXcrawx+Dg5N8tw6dZd2NnIEB7o1lzhkRlEBNWukfLzvS9IDLX1VO3Z6YHBHlCrmvHynUREJHnSbKjv3gaK711exSPEvLEQUdPUjTK5/QdQWWreWIyosLAQbdq0eezPKyoqUFRUpHNraXr7t4FvGweUVFTjp7OGL072c0Zt8/VM+zZwUnL+tDWra6gPZhQYPLe+ukaDbclXAAAje3K4NxER6UeaDfX19Nr/OrcD7Hk5FCKr5uR+b6V+ARRkmDsao8jMzMTq1asxderUx26zdOlSuLi4aG++vr4mjNAyyOUy/KVHbcOztQnDvn8+XwDgfjNG1uvZADcobOS4fPsusm8Y9oXbLxcKUFBcgTZOCgwM5hQAIiLSjzQb6oK6+dM8O00kCep77+WCdPPG0YC5c+dCJpM98ZaerpvDlStXMHjwYIwcORKTJ09+7LHnzZuHwsJC7e3SpabNI7ZWdQ31kYs3kXuzTO/9y6tqcDSrdr5tRDAbamvnpLTVLixX90WJvuJP1L6XRnRrC4WtND8WEUnBgAEDMGvWLKMdf8KECRgxYoTRjm8OOTk5kMlkSElJMXcokibNsW5ckIxIWjw6Ajm/3l8bwUK98847mDBhwhO3CQgI0P776tWrGDhwIPr06YOvv/76ifsplUoolZzb6dvGERFBavx8vgDrDmXhb8M767X/qZzbKK/SwNNZiWBPlZGiJFN6roMahzNv4pfzBXitr79e+2YVlGBvWj4A4NVeLW/UBxERNZ20G2o1G2oiSagbbXLdss9Qq9VqqNWNO+t55coVDBw4EGFhYfj2228hl/PMWGNNjQjAz+cL8J9Tl/DW8x3g1qrxXzTULV71XAc1ZDKZsUIkE4oIVmPp/0/H0aybKK+qgb2dTaP3XftrNoQAIkM90IFfsBBRM6usrIRCoTB3GGRk0vwExzPURNIisUtnXblyBQMGDICfnx/i4uJQUFCAvLw85OUZvtBWSxIe4Iau7VxQXqXBxqN/NHo/jUZgz7nas5HPcf60ZAR7quDlbI/yKg1+0WPY9/Xicvz3dO3q3lMjAo0VHhE1o+rqasycORMuLi5wd3fHhx9+qF2QcNOmTejZsydUKhW8vLwwZswYXL+uewWAs2fP4uWXX4azszNUKhX69++Pixcv1vtcJ0+ehFqtxvLly7WPLV68GB4eHlCpVHj99dcxd+5cdOvWTfvzumHjsbGx8PHxQXBwMAAgNTUVgwYNgoODA9zc3DBlyhSUlJRo96tvOPuIESN0Rr21b98eS5YswcSJE6FSqeDn5/fI6LYTJ06ge/fusLe3R8+ePZGcnNzo3y0ZTnoNdUkBUHaj9t/qYPPGQkTNo24OddFloNz6V7feu3cvMjMzsX//frRr1w7e3t7aGzVMJpNh6nO1DdB3R3NQVlndqP0OZFzHHzfLoLK3xaAQLj4lFTKZDMO7+QAANhzJafR+Gw7noLJagx5+ruj5VGsjRUdkBYSovYqGOW56rs6/ceNG2Nra4sSJE/jHP/6BlStXYt26dQCAqqoqLFq0CL/99ht27NiBnJwcnYb0ypUreO6556BUKpGYmIikpCRMnDgR1dWP/j8kMTERL7zwAmJjYzFnzhwAwObNmxEbG4vly5cjKSkJfn5++PLLLx/Zd//+/cjIyMDevXvx448/orS0FFFRUWjdujVOnjyJrVu3Yt++fZg5c6ZeuQPAJ598om2Up0+fjmnTpiEjo3bB1pKSErz88svo2LEjkpKSsHDhQrz77rt6PwfpT3pDvusWJGvdHlA4mTUUImomDq6Ayrv2cngF6YBvL3NH1CQTJkxocK41Pdngzl7wa+OI3FtliD9xCRP7NTx3dv2hbADAq738eLksiRnfpz3WHcrGkYs3ce5qETr6OD9x+6LyKmw6Vju6YWpEIIf/U8tWVQYs8THPc39wVa/P676+vli1ahVkMhmCg4ORmpqKVatWYfLkyZg4caJ2u4CAAHz22Wd45plnUFJSglatWmHNmjVwcXFBfHw87OzsAABBQUGPPMf27dsxfvx4rFu3DqNHj9Y+vnr1akyaNAmvvfYaAOCjjz7Cnj17dM40A4CTkxPWrVunHeq9du1alJeX47vvvoOTU22un3/+OYYOHYrly5fD09Oz0fkPGTIE06dPBwDMmTMHq1atwoEDBxAcHIx///vf0Gg0WL9+Pezt7dGpUydcvnwZ06ZNa/TxyTDSO0NdN8eS86eJpKVuCodEhn1T09jIZZgaUbvA2z/2X8D14vInbp92rQhHLt6EjVyG6D7tTRAhmVJbVwcM7uwFAPjmcHaD28f9lIHi8moEqp3wQmjjP8wSkXk9++yzOl+AhYeH48KFC6ipqUFSUhKGDh0KPz8/qFQqREREAAByc3MBACkpKejfv7+2ma7P8ePHMXLkSGzatEmnmQaAjIwM9Oql+4X+w/cBoEuXLjrzptPS0vCnP/1J20wDQN++faHRaLRnlxura9eu2n/LZDJ4eXlph7WnpaWha9eusLe3124THh6u1/HJMNL7ir5uFWDOnyaSFnUocDGRDTVpje7piy0ncvH7lSJ8/MM5rBnT47HbfnPv7PTgzl5o6+pgqhDJhCb188euM9ewM+Uq5gwOgVpV/2J1p3Juac9OLxreGXI5z05TC2fnWHum2FzP3QzKy8sRFRWFqKgobN68GWq1Grm5uYiKikJlZSUAwMGh4dofGBgINzc3fPPNN3jppZee2Hw/zoONc2PJ5XLtXPA6VVVVj2z3cDwymQwajUbv56PmJb0z1HXXqa1bxIiIpKHuS7ICNtRUy9ZGjmX/0xU2chl2nbmGffcWHHvY9aJy/L+U2g+LkxoxNJysUw+/1uju54rKGg02Hc2pd5uK6hrM3ZYKIYCRYe3Q52l30wZJZIlkstph1+a46Tnd4vjx4zr3jx07hg4dOiA9PR03b97EsmXL0L9/f4SEhDyyIFnXrl3x66+/1tuo1nF3d0diYiIyMzMxatQonW2Dg4Nx8uRJne0fvl+f0NBQ/PbbbygtLdU+dvjwYcjlcu2iZWq1GteuXdP+vKamBr///nuDx374ec6cOYPy8vsjto4dO6bXMcgw0mqohXjgDHWIeWMhoubFId9Uj85tXfB6/9omecGO33H5dpnOz0srqjFlUxIqazTo7ueKHn5cfErKXu9XOw3gi4MXcSBD98O0RiOwNCEdmddL4N5KgfkvcSQbkbXJzc3F7NmzkZGRgS1btmD16tV466234OfnB4VCgdWrVyMrKws7d+7EokWLdPadOXMmioqK8Morr+DUqVO4cOECNm3a9Miwaw8PDyQmJiI9PR2vvvqqdtGyN998E+vXr8fGjRtx4cIFLF68GGfOnGlwDYaxY8fC3t4e0dHR+P3333HgwAG8+eabGDdunHb+9KBBg7Br1y7s2rUL6enpmDZtGu7cuaPX72bMmDGQyWSYPHkyzp07h4SEBMTFxel1DDKMtBrq4jygvBCQ2QBuHcwdDRE1p7pV+0vygbJb5o2FLMqs54Pg7+6EvKJyDP/8ME7m1L4+Kqs1eONfSUi5dAeujnZY8ZeuDRyJrN2Lnb0wopsPqjUC0/6VhKQ/al8LZZXVmLnltHYV8I+HdYarI68NS2Rtxo8fj7t376JXr16YMWMG3nrrLUyZMgVqtRobNmzA1q1b0bFjRyxbtuyRZtLNzQ2JiYkoKSlBREQEwsLCsHbt2nqHdXt5eSExMRGpqakYO3YsampqMHbsWMybNw/vvvsuevTogezsbEyYMEFnznJ9HB0d8dNPP+HWrVt45pln8Ne//hXPP/88Pv/8c+02EydORHR0NMaPH4+IiAgEBARg4MCBev1uWrVqhR9++AGpqano3r075s+fr3PJLzIemXh4wL4FKSoqgouLCwoLC+Hs/OQVOwEAmfuBf/1PbTP95injB0hEprWqC1CYC0xIANr3bdQuetcRKyHVvAx19c5dTP7uFM5eLYKdjQyB6la4VVqJ68UVcLCzwebJvXl2uoWoqtFg8nencDCjAEpbOdq1dkBZZQ2uFZbDzkaG2BFdMOoZX3OHaRGkXEeknFtTlJeXIzs7G/7+/g02gtSwF154AV5eXti0aZO5QzEYXxP106eGSOsMtXb+NIdxEUkS51HTY/i4OmDrG+F4sbMXqmoE0vOKcb24AkpbOb783x5splsQOxs5vhjbA73at0FFtQYXC0pxrbAcbZwU+PfkZ9lME5FBysrKsHLlSpw9exbp6emIiYnBvn37EB0dbe7QyMyktcp3578Arf0BexdzR0JExtBnJtDzNaBtmLkjIQvkqLDFmjE9cDr3Nsoqa9DK3hbt3ZzQxolDe1saR4Ut4qc8i7S8IhSXV+NuZQ26+bqiNV8LRGQgmUyGhIQExMbGory8HMHBwfjvf/+LyMhIc4dGZiathlrlBYQMMXcURGQs/s+ZOwKycHK5DD3btzF3GGQB5HIZOvnwC3Yiah4ODg7Yt2+fucMgCyStId9EREREREREJsKGmoiIiIiIiMgAbKiJiIiIiFoQjUZj7hDIQvC10HTSmkNNRERERET1UigUkMvluHr1KtRqNRQKBWQymbnDIjMQQqCyshIFBQWQy+VQKLhoo6HYUBMRERERtQByuRz+/v64du0arl69au5wyAI4OjrCz88PcjkHLhuKDTURERERUQuhUCjg5+eH6upq1NTUmDscMiMbGxvY2tpylEITsaEmIiIiImpBZDIZ7OzsYGdnZ+5QiKwez+0TERERkVHExsaiT58+cHR0hKura6P2EULgo48+gre3NxwcHBAZGYkLFy4YN1AiIgOxoSYiIiIio6isrMTIkSMxbdq0Ru+zYsUKfPbZZ/jqq69w/PhxODk5ISoqCuXl5UaMlIjIMBzyTURERERG8fHHHwMANmzY0KjthRD49NNPsWDBAgwfPhwA8N1338HT0xM7duzAK6+8YqxQiYgMYtENtRACAFBUVGTmSIjIWtXVj7p6IhWsj0TUVJZYH7Ozs5GXl4fIyEjtYy4uLujduzeOHj362Ia6oqICFRUV2vuFhYUAWCOJyDD61EeLbqiLi4sBAL6+vmaOhIisXXFxMVxcXMwdRrNhfSSi5mJJ9TEvLw8A4OnpqfO4p6en9mf1Wbp0qfZs+INYI4moKRpTHy26ofbx8cGlS5egUqkavZx7UVERfH19cenSJTg7Oxs5QuOQQg4A87A0UsjDkByEECguLoaPj4+RozOtllofAWnkIYUcAOZhafTNw9D6OHfuXCxfvvyJ26SlpSEkJESv4zbFvHnzMHv2bO19jUaDW7duwc3NrVE1sqW+BiyVFPKQQg5Ay81Dn/po0Q21XC5Hu3btDNrX2dnZqv/ogDRyAJiHpZFCHvrmYClnXppTS6+PgDTykEIOAPOwNPrkYUh9fOeddzBhwoQnbhMQEKD3cQHAy8sLAJCfnw9vb2/t4/n5+ejWrdtj91MqlVAqlTqPNXZV8Qe1xNeAJZNCHlLIAWiZeTS2Plp0Q01ERERElkWtVkOtVhvl2P7+/vDy8sL+/fu1DXRRURGOHz+u10rhRESmwstmEREREZFR5ObmIiUlBbm5uaipqUFKSgpSUlJQUlKi3SYkJATbt28HAMhkMsyaNQuLFy/Gzp07kZqaivHjx8PHxwcjRowwUxZERI8nuTPUSqUSMTExjwz7sSZSyAFgHpZGCnlIIQdzksrvTwp5SCEHgHlYGkvM46OPPsLGjRu197t37w4AOHDgAAYMGAAAyMjI0K7KDQDvv/8+SktLMWXKFNy5cwf9+vXD7t27YW9vb7Q4LfF3ZwjmYTmkkAPAPBpDJizpWglEREREREREVoJDvomIiIiIiIgMwIaaiIiIiIiIyABsqImIiIiIiIgMwIaaiIiIiIiIyABW2VCvWbMG7du3h729PXr37o0TJ048cfutW7ciJCQE9vb26NKlCxISEkwU6ePpk8PatWvRv39/tG7dGq1bt0ZkZGSDOZuKvn+LOvHx8ZDJZBZzCQx987hz5w5mzJgBb29vKJVKBAUFmf11pW8On376KYKDg+Hg4ABfX1+8/fbbKC8vN1G09fvll18wdOhQ+Pj4QCaTYceOHQ3uc/DgQfTo0QNKpRJPP/00NmzYYPQ4LZkU6iMgjRrJ+mg59RGw/hrJ+th0rI+WUx8BadRI1kfWRwCAsDLx8fFCoVCIb775Rpw9e1ZMnjxZuLq6ivz8/Hq3P3z4sLCxsRErVqwQ586dEwsWLBB2dnYiNTXVxJHfp28OY8aMEWvWrBHJyckiLS1NTJgwQbi4uIjLly+bOHJd+uZRJzs7W7Rt21b0799fDB8+3DTBPoG+eVRUVIiePXuKIUOGiEOHDons7Gxx8OBBkZKSYuLI79M3h82bNwulUik2b94ssrOzxU8//SS8vb3F22+/beLIdSUkJIj58+eLbdu2CQBi+/btT9w+KytLODo6itmzZ4tz586J1atXCxsbG7F7927TBGxhpFAfhZBGjWR9tJz6KIQ0aiTrY9OwPlpOfRRCGjWS9ZH1sY7VNdS9evUSM2bM0N6vqakRPj4+YunSpfVuP2rUKPHSSy/pPNa7d28xdepUo8b5JPrm8LDq6mqhUqnExo0bjRVioxiSR3V1tejTp49Yt26diI6ONnsxFEL/PL788ksREBAgKisrTRVig/TNYcaMGWLQoEE6j82ePVv07dvXqHHqozEF8f333xedOnXSeWz06NEiKirKiJFZLinURyGkUSNZHy2nPgohvRrJ+qg/1sdallAfhZBGjWR9vK+l10erGvJdWVmJpKQkREZGah+Ty+WIjIzE0aNH693n6NGjOtsDQFRU1GO3NzZDcnhYWVkZqqqq0KZNG2OF2SBD8/jb3/4GDw8PTJo0yRRhNsiQPHbu3Inw8HDMmDEDnp6e6Ny5M5YsWYKamhpTha3DkBz69OmDpKQk7ZCerKwsJCQkYMiQISaJublY2vvbnKRQHwFp1EjWR8upj0DLrZGW+P42F9bH+8xdHwFp1EjWR9bHB9k2R1CmcuPGDdTU1MDT01PncU9PT6Snp9e7T15eXr3b5+XlGS3OJzEkh4fNmTMHPj4+j7wQTMmQPA4dOoT169cjJSXFBBE2jiF5ZGVlITExEWPHjkVCQgIyMzMxffp0VFVVISYmxhRh6zAkhzFjxuDGjRvo168fhBCorq7GG2+8gQ8++MAUITebx72/i4qKcPfuXTg4OJgpMtOTQn0EpFEjWR8tpz4CLbdGsj7ex/p4n7nrIyCNGsn6yPr4IKs6Q03AsmXLEB8fj+3bt8Pe3t7c4TRacXExxo0bh7Vr18Ld3d3c4TSJRqOBh4cHvv76a4SFhWH06NGYP38+vvrqK3OH1mgHDx7EkiVL8MUXX+D06dPYtm0bdu3ahUWLFpk7NKImscYayfpoeVgjSYqssT4C0qmRrI/SZVVnqN3d3WFjY4P8/Hydx/Pz8+Hl5VXvPl5eXnptb2yG5FAnLi4Oy5Ytw759+9C1a1djhtkgffO4ePEicnJyMHToUO1jGo0GAGBra4uMjAwEBgYaN+h6GPL38Pb2hp2dHWxsbLSPhYaGIi8vD5WVlVAoFEaN+WGG5PDhhx9i3LhxeP311wEAXbp0QWlpKaZMmYL58+dDLreO79oe9/52dnZuUWdfAGnUR0AaNZL10XLqI9ByayTr432sj5ZTHwFp1EjWR9bHB1l+xg9QKBQICwvD/v37tY9pNBrs378f4eHh9e4THh6usz0A7N2797HbG5shOQDAihUrsGjRIuzevRs9e/Y0RahPpG8eISEhSE1NRUpKivY2bNgwDBw4ECkpKfD19TVl+FqG/D369u2LzMxMbTEHgPPnz8Pb29ssxdCQHMrKyh4peHUFvnY9B+tgae9vc5JCfQSkUSNZHy2nPgItt0Za4vvbXFgfLac+AtKokayPrI86DFrKzIzi4+OFUqkUGzZsEOfOnRNTpkwRrq6uIi8vTwghxLhx48TcuXO12x8+fFjY2tqKuLg4kZaWJmJiYsx+2QN9c1i2bJlQKBTi+++/F9euXdPeiouLzZWCEEL/PB5mCSs0CqF/Hrm5uUKlUomZM2eKjIwM8eOPPwoPDw+xePFic6Wgdw4xMTFCpVKJLVu2iKysLLFnzx4RGBgoRo0aZa4UhBBCFBcXi+TkZJGcnCwAiJUrV4rk5GTxxx9/CCGEmDt3rhg3bpx2+7rLHrz33nsiLS1NrFmzpsVfFsba66MQ0qiRrI+WUx+FkEaNZH1sGtZHy6mPQkijRrI+sj7WsbqGWgghVq9eLfz8/IRCoRC9evUSx44d0/4sIiJCREdH62z/n//8RwQFBQmFQiE6deokdu3aZeKIH6VPDk899ZQA8MgtJibG9IE/RN+/xYMsoRjW0TePI0eOiN69ewulUikCAgJEbGysqK6uNnHUuvTJoaqqSixcuFAEBgYKe3t74evrK6ZPny5u375t+sAfcODAgXpf63WxR0dHi4iIiEf26datm1AoFCIgIEB8++23Jo/bkkihPgohjRrJ+mg59VEI66+RrI9Nx/poOfVRCGnUSNZH1kchhJAJYSXn5omIiIiIiIgsiFXNoSYiIiIiIiKyFGyoiYiIiIiIiAzAhpqIiIiIiIjIAGyoiYiIiIiIiAzAhpqIiIiIiIjIAGyoiYiIiIiIiAzAhpqIiIiIiIjIAGyoiYiIiIiIiAzAhpqIiIiIiIjIAGyoiYiIiIiIiAzAhpqIiIiIiIjIAGyoiYiIiIiIiAzwfzZVqiSZv8LzAAAAAElFTkSuQmCC", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1, 3, figsize=(12, 4))\n", "plt.sca(ax[0])\n", "for i, ci in enumerate(cows):\n", " plt.plot(x, ci(x), color=\"C0\" if i <= cows._sig else \"C1\")\n", "plt.sca(ax[1])\n", "plt.plot(x, cows(x), color=\"C0\", label=\"signal\")\n", "plt.plot(\n", " x,\n", " sum(cows[i](x) for i in range(cows._sig, len(cows))),\n", " color=\"C1\",\n", " label=\"background\",\n", ")\n", "plt.sca(ax[2])\n", "plt.plot(x, cows2[0](x), color=\"C0\", label=\"signal\")\n", "plt.plot(x, cows2[1](x), color=\"C1\", label=\"background\")\n", "plt.ylim(-1, 2)\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Shown on the left are the weight functions for each component. Shown in the middle are the sums of the signal and the background components, respectively. COWs are additive, therefore the sum of all signal components produces the signal COW. Shown on the right are the optimal COWs.\n", "\n", "We can see that the optimal signal COW shows low variation and peaks where the signal is the strongest. The no-fit signal COW shows several oscillations and does peak where the most of the signal is." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Robustness\n", "\n", "Even if the component PDFs for signal are chosen poorly, the signal weights will produce an unbiased signal density in the t-variable as long as the true background can be approximated by a linear combination of the background PDFs. This is a proven property you can find in an appendix of our COWs paper. The amplitude of the signal density will be off, but the shape will be unbiased. Here is a demonstration." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bpdfs = make_bernstein_pdf(2, *mrange)\n", "spdfs = make_norm_pdf(*mrange, [0.55], 0.05)\n", "\n", "x = np.linspace(*mrange, 100)\n", "for bpdf in bpdfs:\n", " plt.plot(x, bpdf(x), color=\"C1\")\n", "for spdf in spdfs:\n", " plt.plot(x, spdf(x), color=\"C0\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that this approximation of the signal is not adequate by fitting it to the sample distribution, which is clearly a bad fit. Nevertheless, the COW-weighted signal in the t-variable looks good, if we **normalize** the weighted densities. This is important, because the normalization is not correct if the signal pdfs are chosen poorly." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cows = Cows(None, spdfs, bpdfs, range=mrange)\n", "\n", "# let's check whether these pdfs are able to describe the observed density\n", "def model(x, par):\n", " return sum(par), sum(p * pdf(x) for (p, pdf) in zip(par, cows.pdfs))\n", "\n", "\n", "m = Minuit(ExtendedUnbinnedNLL(toy[0], model), np.ones(len(cows.pdfs)))\n", "m.migrad()\n", "\n", "plt.figure()\n", "plot_binned(toy[0], density=True)\n", "x = np.linspace(*mrange, 100)\n", "yn, y = model(x, m.values)\n", "plt.plot(x, y / yn)\n", "\n", "# now we plot the true signal in the t-variable and the weighted estimate\n", "plt.figure()\n", "plot_binned(toy[1], weights=cows(toy[0]), density=True, label=\"COWs (no fit)\")\n", "plot_binned(toy[1], weights=cows2(toy[0]), density=True, label=\"COWs (optimal)\")\n", "plot_binned(toy[1][toy[2]], density=True, marker=\".\", color=\"k\", label=\"signal\")\n", "plt.legend();" ] } ], "metadata": { "kernelspec": { "display_name": "venv", "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": "3.12.4" } }, "nbformat": 4, "nbformat_minor": 2 }