{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How to remove scattered light from TESS data using the `RegressionCorrector`?\n", "\n", "\n", "Lightkurve offers several tools to the community for **removing instrument noise and systematics** from data from the Kepler, K2 and TESS missions. This tutorial will demonstrate the use of Lightkurve's new `RegressionCorrector` class to remove the scattered light and spacecraft motion noise from TESS Full Frame Images (FFIs).\n", "\n", "TESS FFIs have an additive scattered light background that has not been removed by the pipeline. This scattered light must be removed by the user. This can be done in a few ways, including a simple median subtraction. In this tutorial, we'll show you how to use *Lightkurve*'s corrector tools to remove the scattered light. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 1. Using `RegressionCorrector` on TESSCut FFI cutouts\n", "\n", "For this tutorial we will use the TESS Sector 15 data of [KIC 8462852](https://en.wikipedia.org/wiki/Tabby%27s_Star) (also known as Tabby's Star).\n", "We'll start by downloading the FFI data using MAST's *TESSCut* service, querying it through *Lightkurve*." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import lightkurve as lk" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "target = 'KIC 8462852' # Tabby's star\n", "tpf = lk.search_tesscut(target, sector=15).download(cutout_size=(50, 51))" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "TessTargetPixelFile(TICID: KIC 8462852)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tpf" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This cut out works the same as any *Lightkurve* Target Pixel file (see our full tutorial on working with such data products [here](https://docs.lightkurve.org/tutorials/01-target-pixel-files.html)).\n", "\n", "*TESS* FFI cut outs do not have aperture masks created by the pipeline. Instead, users must create their own apertures. There are many methods we could use to do this, but for now we can simply use a threshold aperture, using *Lightkurve*'s `create_threshold_mask()` method." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "aper = tpf.create_threshold_mask()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's plot the aperture, to make sure it selected the star in the center and has a reasonable number of pixels." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "tpf.plot(aperture_mask=aper);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Looks good. We can sum up the pixels in this aperture, and create an uncorrected (\"raw\") light curve." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "raw_lc = tpf.to_lightcurve(aperture_mask=aper)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "raw_lc.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The flux in the aperture appears to be dominated by scattered light. We can tell because TESS orbits Earth twice in each sector, thus patterns which appear twice within a Sector are typically related to TESS' orbit (such as the scattered light effect).\n", "\n", "To remove this light, we are going to *detrend* the light curve against some *vectors* which we think are predictive of this systematic noise.\n", "\n", "In this case, we can use the **pixels outside the aperture** as vectors that are highly predictive of the systematic noise, i.e. we will make the assumption that these pixels do not contain any flux from our target.\n", "\n", "We can select these pixels very simply by specifying flux outside the aperture using Python's bitwise invert operator `~` to take the inverse of the aperture mask." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "regressors = tpf.flux[:, ~aper]" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1190, 2541)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "regressors.shape" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`regressors` is now an array with shape *ntime* x *npixels outside of the aperture*. If we plot the first 30 of these pixels, we can see that they contain mostly scattered light, with some offset terms." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "plt.plot(pixels[:, :30]);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In linear regression problems, it is commong to refer to the matrix of regressors as the *design matrix* (also known as *model matrix* or *regressor matrix*). Lightkurve provides a convenient `DesignMatrix` class which is designed to help you work with detrending vectors. \n", "\n", "The `DesignMatrix` class has several convenience functions, and can be passed into *Lightkurve*'s corrector objects. Please consult the [DesignMatrix page](../api/lightkurve.correctors.DesignMatrix.html) in the API docs for the full details on the methods and features provided by this class." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "dm = lk.DesignMatrix(pixels, name='regressors')" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "regressors DesignMatrix (1190, 2541)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As shown above, `dm` is now a design matrix with the same shape as the input pixels. Currently, we have 2541 pixels that we are using to detrend our light curve against. Rather than using all of the pixels, we can reduce these to their **principal components** using **Principal Component Analysis** (PCA). We do this for several reasons:\n", "\n", "1. By reducing to a smaller number of vectors, we can remove some of the stochastic noise in our detrending vectors.\n", "2. By reducing to the principal components, we can avoid pixels that have intrinsic variability (e.g. from astrophysical long period variables) that can be confused with the true astrophysical signal of our target.\n", "3. By reducing the number of vectors, our detrending will be faster, (although in this case, this detrending will still take seconds.)\n", "\n", "The choice of the number of components is a tricky issue, but in general you should choose a number that is much smaller than the number of vectors." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "dm = dm.pca(5)" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "regressors DesignMatrix (1190, 5)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Using the `pca()` method, we have now reduced the number of components in our design matrix to 5. These vectors show a combination of scattered light and spacecraft motion, which makes them suited to detrend our input light curve." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "plt.plot(tpf.time, dm.values + np.arange(5)*0.2, '.');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note: the `DesignMatrix` object provides a convenient `plot()` method to visualize the vectors:" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dm.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can now detrend the raw light curve against these vectors. *Lightkurve*'s `RegressionCorrector` will use linear algebra to find the combination of vectors that makes the input light curve **closest to zero**. To do this, we need one more component; we need an \"offset\" term, to be able to fit the mean level of the light curve. We can do this by appending a \"constant\" to our design matrix." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "dm = dm.append_constant()" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "regressors DesignMatrix (1190, 6)" ] }, "execution_count": 26, "metadata": {}, "output_type": "execute_result" } ], "source": [ "dm" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now that we have a design matrix, we only need to pass it into a `lightkurve.Corrector`. To use our design matrix, we can pass it to the `RegressionCorrector`, which will detrend the input light curve against the vectors we've built.\n", "\n", "Please consult the [RegressionCorrector page](../api/lightkurve.correctors.RegressionCorrector.html) in the API docs for the full details on the methods and features provided by this class." ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [], "source": [ "corrector = lk.RegressionCorrector(raw_lc)" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "RegressionCorrector (ID: KIC 8462852)" ] }, "execution_count": 38, "metadata": {}, "output_type": "execute_result" } ], "source": [ "corrector" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To correct the light curve, we simply pass in our design matrix." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "corrected_lc = corrector.correct(dm)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can plot the results" ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = raw_lc.plot(label='Raw light curve')\n", "corrected_lc.plot(ax=ax, label='Corrected light curve');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As shown above, the scattered light from the background has been removed. If we want to see a more in depth look at the correction, we can use the `diagnose()` method to see what the `RegressionCorrector` found as the best fitting solution." ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "corrector.diagnose();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Regression corrector has clipped out some outliers during the fit of the trend. You can read more about the outlier removal, how to pass a cadence mask, and error propagation in our [docs](https://docs.lightkurve.org/api/lightkurve.correctors.RegressionCorrector.html#lightkurve.correctors.RegressionCorrector)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Watch Out!**\n", "\n", "The `RegressionCorrector` assumes that you want to remove the trend and set the lightkurve to the **mean** level of the **raw lightkurve**. This isn't true for TESS scattered light. TESS FFI light curves have **additive background**, and so we want to reduce the flux to the lowest recorded level, assuming that at that point the contribution from scattered light is approximately zero.\n", "\n", "To do this, we will first need to look at the *model* of the background that `RegressionCorrector` built. We can access that in the `corrector` object." ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "corrector.model_lc" ] }, { "cell_type": "code", "execution_count": 45, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model = corrector.model_lc\n", "model.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see above, the *model* drop below zero flux. This is impossible; the scattered light can't be **removing** flux from our target! \n", "\n", "To rectify this, we can subtract the model flux value at the 5th percentile." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "# Normalize to the 5th percentile of model flux\n", "model -= np.percentile(model.flux, 5)" ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks better. Now we can simply remove this model from our raw light curve." ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [], "source": [ "corrected_lc = raw_lc - model" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = raw_lc.plot(label='Raw light curve')\n", "corrected_lc.plot(ax=ax, label='Corrected light curve');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This looks great. As a final test, let's investigate how the light curve we obtained using `RegressionCorrector` compares against a light curve obtained using a more simple median background removal method." ] }, { "cell_type": "code", "execution_count": 57, "metadata": {}, "outputs": [ { "data": { "image/png": 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sJsCyuNphLigpKiqCp6cnW1/ZpcHMzEzcvXsX8+fPtylnqOnAxVF/8+LiYjbuM2fOwMXFBXPmzIGzc2nTqfJXW7gg1NFJZ3nvvfcevv76ayxYsACLFy+2CdAUCoXD8SiVSrtlTk5Odsvc3NyQkZFht7ywsNAmUBYIBHYf+I8ySYdMJgOPx7N7L7kTosr07dsXffv2RXFxMX7//Xds2rQJfD4f06dPZ19W5TvRVHRy4ujvi8/nOzwhKs/Ra3nixAm0bNnSpqzm8uXLNtuUfd+9vLwqPc7DuLm5wWw2Q6VS2bxX3GtZ9moSIeTJsnPnTrRo0cLuimNFdu/ejaCgIJvvxrJ0Oh2MRiMMBkOFgf+TKDMzkyUUzWYz9Hq9zdX1huyJbWm5f/9+6HQ6dvNgTWx7+vRpSCQSu5tG+vfvj4KCAty6deuxxvwkeu6559ClSxeHWXhOeHg40tLS0LRpUwQFBdn8FxgYCAAIDAyEUCjE6dOnbR576tSphx6fC97LZi5ycnIqLdmprkuXLtncnHnx4kVoNBqEhIQAKM148Pl8m8DvyJEjNvsICAiAl5dXlSZbcnd3ZzPdffzxx9BqtWxdUFAQLl26ZPMhVH58D9O2bVukpqbi/v37bJlOp8O5c+fQtm1btszLy8tujoXk5OQqHaMsHo+HVq1a4cyZMzbLK3tvy5PL5RgwYAA6duzIxiWXy8Hn85Gens62MxqNFZYRlf/7OnPmDFq1asVO1gUCQbVaVRoMBrusWflWr6GhoRCJRA9937l9VHZs7v05ceKEzfLjx4/Dx8eHZekJIU8elUpVrYSVXq+3+e4ojyu/aSzVATUhNTWVdTcDSoN6nU7XaIL6RpupX79+PVasWAGRSITQ0FCMHDnS5uauK1euQCqVIj09HYsXL0ZqaiqkUim6deuGCRMm2NQbV3Xb1NRUBAQE2GXjucAzNTUVbdq0qXDMFf1R6HQ6WCwWWCwWmM1mODk5sWxuY9eyZUt8+OGHD91myJAhOHr0KObOnYvY2Fh4e3uzkhyFQoEhQ4ZAKpXin//8J3744QeIRCLW/aayewu4QDk+Ph4WiwV6vR7btm2r8T72EokEH3/8MYYPH46SkhJs2bIFwcHBrJ6+U6dO2LNnDzZs2IBu3brhxo0bOHz4sM0+nJycMHHiRMTFxWHp0qXo168fBAIBbty4gaCgIDz77LM223t6emLx4sX4v//7P3zyySdYuHAhRCIRXnzxRfz888/417/+hWHDhkGtViMhIQFSqbRKf1f9+/fH7t278a9//QuvvvoqJBIJfvjhBxgMBpsT3+7du2PPnj0IDg6Gv78/Dh06VOXsenkvv/wyFi9ejH//+9+s+0354NeRbdu2QaVSISwsDHK5HKmpqfjjjz/YSaSzszO6deuGH3/8kd3oyrXbdOTw4cPs7+vYsWO4evUqFi5cyNYHBATgt99+w9GjR+Hn5weZTIYmTZpUuL+OHTti/fr1SEhIQJs2bXDhwgVcvHjRZhtXV1eMHj0aW7ZsgcViQVRUFCwWCy5fvozo6GgEBQWxeveffvoJUVFREIlE7HOnrBYtWqB79+7YtGkT9Ho9mjVrhhMnTuCPP/54pBucCSGNh1KprPTE/6OPPsInn3wCoDTp8LBkj16vh5OTU5WuHjd2VqsVJpMJZ86csUm+mUwmaLXaR+6oVtcaXVDv4uKCF154Ae3bt4dMJkNmZiZrt7dw4UIWROXn50Ov12PZsmUYMWIEXn/9daSkpGDbtm1ITU3F8uXL2RtX1W1VKpXDEhLuMndl9cYTJkyocJ1MJkNaWhoMBgMUCoVNCcCTTiaTYeXKldi6dSvi4+OhVCrh7u6OkJAQm8uI48aNg9lsxg8//ACr1YqoqCi8+uqrrIe3IwKBAHPnzsX69euxfPlyeHl5YeTIkbh48SJu375dY8+hW7du8PT0xJdffgm1Wo3w8HC89dZbbH3nzp0xfvx4/Pjjjzhw4ADatGmDBQsWYOrUqTb76dWrF0QiEXbs2IG4uDgIBAK0atWqwsupTZo0wZIlSzB37lwsWbIEH330ERQKBT7++GNs3LgRn376KXx9fTF16lR88cUXDmc0Ls/FxQWffvopvvnmG6xbtw4mkwkhISFYunSpTTvLUaNGobi4GAkJCXB2dsbAgQPRokULbNmypdqvX9euXTFt2jTs2LEDx48fR3BwMGbPno3Zs2c/9HFBQUHYs2cPTpw4AY1GAy8vLwwbNgwjR45k20ydOhWff/45Nm7cCIlEgmHDhsHPzw/nzp2z29/s2bMRHx+PxMREyOVyvP322zbdhwYMGICUlBRs2LABKpWK9amvyKBBg5CVlYWffvoJu3btQkREBGbNmoVZs2bZbPfSSy9BLpdj9+7dOHjwICQSCUJDQ1mdfqtWrTBmzBjs378fO3fuhJeXl12Pfc7777+PrVu3YteuXVAqlfDz88P7779fZ/f8EEIez7Vr11BSUlLtTl4qlarSGvhffvnFJqjXarUwmUw4cOAABg0aZLOtTqeDQCB4pLLKxubHH3/EF198gaFDh8LT0xMWiwXOzs4sU99YgnpYnwAqlco6fvx469tvv82WTZkyxTp48GDrjh07bLbdvXu3dfDgwdY///yz2ttOmTLFumDBArvj5+fnO3w8p6SkxDp48GBrbm6utaSkxO6/W7duWadPn27966+/rCaTyWo2mx/5tSDEkfT0dGtsbKz1wIED9T0U0ojdv3/fOmPGDOv9+/freyiEPLH2799v/f7779nvFovFGh8fX+njZsyYYd27dy/7vaCgwPrll1/abBMZGcl+XrZsmXXLli3WwsJC66xZs+z2t3jxYutnn31mHThw4KM8jUYlPj7e2rt3b+vatWutMTEx7HUaOnSo9aOPPrKOGjWqXsfHxZElJSUP3e6JqPFwc3NDly5d8Ndff0Gv1wP4O3vOZe45XF/sO3fusGVV3VYqlTrMxnPLKuu24eLi4vA/sVgMZ2dnODs7g8fjPTGlN6T+xMfH4+jRo7h8+TIOHDiARYsWQaFQoHv37vU9NEIIIQ9hNBptymgMBgPOnz9f6ePUarXN40pKSpCZmfnQ42g0Guj1eoe1+Hq9Hkaj8ZG7njUmKpUKMpkMer0ePj4+bDndKFtPrP+/9zhXUuOo3tTRdtXZNjAwEOnp6ayXOic1NRWAfUtNQuqLyWRCfHw8FixYgE2bNqFZs2ZYunQpJBJJfQ+NEEJIGTdu3LCJKwwGg00ZjdForFJrSa6mXqPRoHfv3qy8hsMlPbnYhgtW9Xo9W/fdd9/BaDTCarWipKQEWq0Wer2ePeZJpVKp4Obm5jCob0zlN09EUK9Wq3Hu3Dm0bNmStV3iMpIXLlyw2ZY72+W6klRn26ioKGi1WruuHAcPHoRCoXA48Qwh9WHSpEn45ptvsGvXLiQmJuLDDz902LueEEJI/dq2bZtNS1+TyWSTca9qv3i1Wg2TyYTCwkKUlJTAYDDYTHjHxTjcCYTBYIBGo4HBYGBB/blz56BSqbBnzx4cPXqUZair0/WrMSqbqX/xxRfRsWNHANT9ptbFxcXB29sbQUFBkMlkePDgAXbt2oWioiI2xTxQWkrz7LPPIjExEVarFSEhIUhJSUFiYiK6dOli0ymnqtt27twZHTt2xJdffgmNRgNfX18cO3YMf/zxB95//33qUU8IIYSQauF6wZf9vWwQXTZTbzKZ8O2332LMmDF2veO1Wi2MRiPrQmY0Gm2C+unTp7Pl3MSKGo0GOp2OBfVcRxxu31wwq9frn6he9Wq1GpmZmQgKCgJQ+jylUilKSkoQGRmJHTt2APg7qLf+/+44arW60kkv61OjC+oDAwNx4sQJ7Nu3D1qtFlKpFG3btsXMmTPtMuUffPABEhISsG/fPiQkJEChUODFF1/E6NGj7fZb1W3nzZuHrVu3slZ6AQEBmD17doWzpRJCCCGEVMRoNLKgGigNrB1l6gsKCrBu3ToUFhZCq9WyIPvQoUMwGAwQiUQwGo2sBSVXfnPixAmbDmoajYZN7MgF9OWDeu73skH9o8zS3VDdvn0bv/76K+bMmcOWSSQSZGZmQiAQsDlJuKBeJpOhoKAAzz//fJXub6gvjS6oHzFiBEaMGFGlbUUiEcaPH4/x48fX2LYSiQRTpkzBlClTqjQGQgghhJCKOMrMl//dbDajuLgYarWazfTKyczMhEqlgoeHB8xmMwvqjUYjtFotZsyYwTLPALB3717WnttiseDw4cMoLCzE999/D4PBALVaDbVajc8//xyrV68GUPOzsNc3g8GAv/76C0DpPQZmsxkuLi7QaDRwcnKCq6srcnNzYTKZoNPpIJfL2aR+VqvV4QziDUGjC+oJIYQQQp4U5TP15YN6LlOvUqmg0+nsgvqCggLk5ubCw8MDRqMRd+7cYT9z5TeXL19G37594eXlhaysLIjFYgBAcXExTp48CaB0lnMuU19SUgJ3d3eWqX/Sgnqj0ciC+iNHjiAsLAwajYbdWNyrVy+sXr0aVqsVOp0O3t7ebGZyvV7PXr+G5om4UZYQQgghpDEyGAxVqqlXq9XQ6/XQ6XQ22xcUFCArKwsKhQIlJSW4ffs22rZty8pvfH19cfHiRchkMgiFQmRnZ7M2lWXr5DMzM2EwGJCZmQm1Wg03NzcYDAY4OTnZnHQ8CYxGI/Ly8jBu3Djs3r0br776KsRiMQvq+/XrB4PBAB6PxzL1WVlZ8Pf3b9CTcVFQTwghhBBSx7RaLTZv3lzpjbKVZerz8/Px4MEDeHh44P79+wgJCYGzszPL1MtkMqSnp0Mul0MgECAnJwdKpRIAoFAo2H6ysrKg1+uxcuVKZGVlwdXVFXq9ngX3Bw8exP3799n2KSkpjbLVpVarhcFggJ+fH65evQqLxQKJRAIXFxebFqBSqRRarZa9hllZWfDz82vQQT2V35AatX37diQkJLDfpVIpAgIC8PLLL6Nz5871OLLaM3fuXIjFYixcuLDWjnHjxg3s3LkT169fh0qlglwuR4cOHTB06FC0bNmy1o5bk06fPo2CggLExMTU91AIIaTeFRcX4+bNmzZBvdVqtetLXzZTzwX1p06dQqtWrQCU1sVzmfojR46gd+/eSE1NZVcAPD09kZKSgh49ekCn0yE3N5dl6j08PACUZuydnJzYZFU3btyAq6srjEYjvLy8oNfrcfv2bbi7u6NZs2bIysrC6NGjcejQIchksrp82R7b4sWLERYWhuDgYGRkZLATEw8PD5uAXaFQsPdBLpcjMzMTPXr0oKCelJo5c6bdbLExMTHo0KFDPY2odgiFQixZsgRA6WXB77//Hp988gmWLVuGNm3a1PPoat6bb75Zq7MA79u3D+vWrUO7du0wadIkeHl5obCwEMePH8eMGTOwZ8+eWjt2TTpz5gxu375NQT0h5Kl348YN1nmGC+o3bNiAvLw8WCwWu0y92Wy2ydR//fXX8PPzw4YNGxAQEAAAeOaZZ/DgwQM2JwkXuLu4uKCoqAje3t7IysqCk5MTW9e+fXvWm14mkyE/P58F90Kh0CZTX/YKAleOU5X++Q2NTqdDXl4eevfuDR6Px0qQuPaWHFdXV/azTCZDbm4uZerJ31atWgUXFxe75WlpafUwmtrj7OyM0NBQ9ntoaCjGjx+PgwcP1klQbzabYbVawefXzZ93s2bNam3ff/31FzZs2IDo6GjMnDnT5o77Xr164ffff3/sY+j1eohEoiovbyga+vgIIU8vi8Xy0GTPgQMHIJVKWaCs1+uxe/duDB48GJmZmTAajThz5gxkMhnL1JeUlLAWizqdDrdv38a9e/dYUB8REQEA8Pb2RnFxMVavXo1FixahXbt2+PPPP+Hl5YX8/HwoFApYLBYApYnFs2fP4tq1a/D19YVCocDs2bPx3XffsbFKpVJ2AsIF8VxwbzKZ8NNPPz1SsubIkSPo06dPtR/3uIxGI3JzcxEREYF27dohLy8PANCiRQub7crOwM5djfDx8WEnRA0RBfWk1ikUCsjlcuTm5rJlVqsVu3btwq+//oqcnBx4enpi8ODBGDJkiM1jT58+jfj4eOTk5CAwMBBvvvkm5s2bh6FDh2LMmDEA/i5/6dmzJ5KSkpCZmYm4uBTA/t8AACAASURBVDgEBwcjLy8P8fHxuHDhAvR6PYKCgjB58mS0bt2aHeP3339HYmIi0tPTwePx4Ovri1deeYWVC1W23lH5zdWrVxEfH487d+5AJBIhMjISEydOZJc6s7OzMXnyZMycORM3b97EkSNHIBQK0bt3b4wfP55NZMZl4SdPnuywhVbXrl1tft+3bx92796NrKwsuLu7o1+/fhgzZgzb34EDB7BmzRrExcVh27ZtuH79Ov7xj3/gzTffRGxsLMaOHYuSkhIcPHgQOp0OSUlJAEqzSlu3bsXNmzfB4/HQuXNnvP766zaTcBiNRiQmJuLo0aPIz8+HXC5Hx44dMWPGDKxevRqHDh0CAMTGxgIovRHpvffeY+9zYmIi0tLS4Orqiu7du2P8+PHsQ/Xy5cuYN28eFixYgAMHDuDPP/9Eu3btarXkiRBCqqqgoIBltNVqNbZu3YrZs2dXuL1Wq2W13VymXiAQsEmOjEYjvvnmG/j4+CAnJwdarRbnz5+Hr68vMjIyAAC3bt1CQEAArFYr3njjDcjlcgCl37lczbyfnx8CAwMhk8ng7e2Nu3fvsu8hjkwmg1QqxTPPPIPMzEy0bt0a8+fPZ+ubNm0KjUZjUxZUNqjfs2cPBg4c6DCRlp+fD3d3d4eTc86aNatOe77rdDqIxWJ2k6xQKGRtQIHSKoPTp0+z7csmYTt06ICJEyeiQ4cODXp2XQrqSa3TarVQqVTw9fVlyzZu3Ij9+/fj5ZdfRkhICK5fv474+HiIRCL885//BADcuXMHy5Ytw7PPPovJkycjJycHcXFxDi/33b59G3l5eXjllVfg6uoKb29vqNVqzJkzB2KxGFOnToWrqyv27t2L+fPnY8OGDXB3d0dmZiaWLVuG6OhojB07FlarFffu3WOX1ypb78jt27fx4Ycfol27dpgzZw5UKhXi4+Mxf/58/Pvf/7bpNrB161Z07doVc+bMwfXr15GQkAA/Pz/2Gly5cgVBQUHsw/ph9u7di40bN+L555/H66+/jtu3byMhIQGFhYVsJkHOypUrMXDgQIwYMcJmPHv37kVoaCjeffdd9sF148YNzJ07F507d8YHH3wAvV6PrVu3YvHixVi5ciV77NKlS3Hp0iX2nhYXF+PUqVMAgFGjRkGpVCI9PR3vv/8+ALDn9Pvvv+PTTz9Fjx498NprryE7Oxvx8fHIyMjA4sWLbcb9xRdfoE+fPnj++ecbbJ9gQsjTZ+fOnbhz5w6uXLmCuLg4NqtrRbRaLZRKJat71+v14PF4LKDXarXg8Xi4f/8+rl27BqB08s3s7Gy2j5SUFAQHB8NisWDy5MksOHV3d2ffUdwkU1KpFF5eXhAIBPDw8IBWq2W15KNHj4azszPOnDmD/Px8u7GGhIRAq9WyUqGCggKMHTsWQOmVcaPRiJKSEoffUzExMVi8eDH69+/v8HXgAu260LdvX6xbtw5GoxEqlQp8Ph/h4eE23+fc6wXYBvUKhQLTpk2rk3E+DgrqSa3gPlwKCgoQHx8PFxcXvPDCCwBKA+WffvoJ06ZNw6BBgwAAHTt2hE6nQ0JCAgYOHAhnZ2ckJSWhSZMmmDt3LruMKRQKsWbNGrvjqdVqrF69Gl5eXmzZtm3bUFJSgs8++4xllMPDwzFlyhTs2rULEyZMwN27d2EymTB16lT2D5i7hAmg0vWO7NixA+7u7li4cCH7gPD398fs2bNx7Ngxmw+34OBgTJ06FQDQqVMnJCcn4+TJkyyoz8/Pt6vzq+j1TkxMRI8ePfDmm2+ycTo5OWHr1q14+eWX2WQjAPD8889j2LBhdvuRSqWYO3euTcC8ZcsWBAUFYd68eWx5s2bN8M477+D8+fPo3Lkz/vzzT5w/fx6zZs1C79692WO5n319fVk7tbKlWUDpzdVBQUE2M/u5ublh5cqVuHz5MsLCwtjyrl27VmkyOUIIqUsmkwkZGRng8/lQqVRsAic3NzeH22q1WmRnZ8NsNrPAWCgUwmAwwGw2488//7R7nFgsZi0mrVYrNBoNfHx8WFaey4YLBALWn577Dho1ahTc3NxYdprrPw+A1eBLpVKbJA8nMDAQV65cYZn63NxcWK1WODs7w2QysasTjoJ6q9X60BOcvLw8Vj5U27gTEoPBwDL1TZs2rXD7skF9XZXzPi5qaUlqnE6nw5AhQzBkyBBMnDgRx48fx8yZM9kHR3JyMgCge/fu7APNbDYjPDwchYWFrL4tJSUFXbp0salLjIqKcnjMwMBAm4AeAP7880+EhYVBKpWyYzg7O6Nt27ZISUlhj3N2dsbKlStx9uxZlJSU2O33YesduXr1KqKiomzO+ENDQ+Hj48MyLpxOnTrZ/N6sWTP2/KsjPT0dSqUSvXr1slkeHR0Nq9Vqd9zIyEiH+4mMjLQJ6HU6Ha5fv44ePXrAYrGw1zEgIAAeHh7sdbx48SJEIhGio6OrNW6tVot79+6hZ8+eNst79uwJHo+Hq1ev2ix/UjsoEUIaN64nvEAgYEF9nz59HF7V3b59O06dOoXs7GwWzOv1eggEgoeWdnBBPRd4+/r6wtXV1eG9etyNrNy2AwYMgJOTEwQCAdzd3R3Oiurq6moX1L/00kustSNXKsSdMEgkEhbUV/TdKJPJ2EmHI2XLcuuCRqOByWRCcXGxzXe0I2Vr6htLUN84RklsvPn9JWQU62p0n/5yMdYNr5kuPEKhEMuWLYPVasWDBw8QHx+PVatW4fPPP2e1flarFa+88orDx+fm5sLHxweFhYV2Z/5ubm4O/3GVre3mKJVK3Lx5065OHwArBfL398eCBQuQlJSEJUuWwNnZGREREZg6dSp8fHwqXe+IWq12OB4PDw+7G2zKZ3H4fL7Nh7qnp2eVPvS4L47ytZLc7+W/WByNz9HykpISWCwWbNq0CZs2bbLbnhubSqWCQqGodklMSUkJrFar3bh5PB6kUqnd61WVMiRCCKkreXl5EIlErGRGJpNBrVYjNTWVrec+58+dOwc+nw+lUslmbZVIJCxD7yiob926NTZu3IiPP/4YYrGYXfVOSkqCr68v3NzcHJ4IcMu4G2I5IpEInp6eMJvNdgE8l8kva+7cuUhPT4dGo2FBPRfAi8ViVi40ZswYVh+fnJwMrVYLiURi9zl+7do1/Pjjj+x+A0flPrVFKBRWWGrjSGhoKGbPno24uDgK6kntqangu7Y4OzuzkpHg4GAEBATg/fffR2JiIqZNmwapVAonJycsX77c4T8Uf39/AKUBaXFxsc06tVpd5RZaUqkUvr6+ePXVV+3Wlf3HHBkZicjISGg0Gly4cAGbNm3CmjVrWFvOytY7Om5RUZHd8sLCwmp3ygkLC8OhQ4egVCof2gtYKpUCgN1xucueji4BV4WrqyucnJwwYsQIh1dJuDFJpVIUFBQ4zP5UZf/lx821b+OeF4fq6AkhDcnkyZPRt29fFtR7eXlBqVSiuLgYTZo0QV5eHgIDAwGUXsVVKpU2ExwJhUKIRCKkpaWBz+fbfb9t3rwZEokEAoEAIpEI69evx4kTJ/DTTz/Bz8+PTRDFKX/jafnvjV69esFqtWL//v12N6/K5XKH9e0SiQSnTp2CyWRCt27dWObdxcWFZerL+vLLL2E0GsHj8aBQKFBQUAAAuHfvHlatWoXk5GRMnz4dPB7P5rWobe7u7iguLmaviaNSo7LkcjlGjhyJkpKSSrdtKKj8htS61q1bIzo6GgcOHEBhYSHCw8MBlGZ3g4KC7P7jLiUGBQXh3LlzNpmGM2fOVPm44eHhSEtLQ9OmTe2OwX3IluXi4oJevXohOjoa6enp1V7Padu2Lc6cOWPz4Xzz5k3k5OSgbdu2VR4/UNopxmq1YtOmTQ5n7jt37hyA0hMhuVyOEydO2Kw/fvw4nJycqn1cjlgsRmhoKNLS0hy+V02aNAFQek+EXq+3O35ZjrJQEokELVq0sHvcqVOnYDab0a5du0caNyGE1IX09HQEBATAaDRCo9HAw8MDmZmZcHV1RXh4uE05ZW5uLq5fvw61Ws2uTnp7e6NZs2YwmUzsRtSyuLa9fD6fBdxCoRCRkZGsMYSj8hsA+Oyzz+Dt7W2zjM/nQyAQwGw22yXVAgIC8NZbb9ntx9XVFampqcjIyIDRaGTJNq78hvuu476rc3Jy8ODBAyiVSptMvVKpRFZWFvtZKpXanJDUNoVCgfz8fHaSVFmmnjNx4sRanYumJlGmntSJkSNH4tixY9i9ezfGjx+PmJgYrFq1CkOHDkVISAhMJhMePHiAS5cu4cMPPwQAjBgxAjNnzsSnn36KgQMHIicnB//73//A5/OrlLEdMmQIjh49irlz5yI2Nhbe3t6sJEehUGDIkCH45ZdfcOPGDURGRsLDwwPZ2dk4cuQIOnbsCACVrnfk5ZdfxuzZs7Fo0SLExsZCrVYjPj4eTZs2rXbNeWBgIN544w2sW7cO+fn5GDBgALy8vFBQUICTJ0/i9OnT2L17N3g8HkaNGoUNGzZALpejS5cuuHPnDrZv347+/fvb3CRbXRMmTMD8+fOxfPlyREdHw83NDXl5eUhOTkb//v0RFhaGjh07onPnzlizZg0yMzMREhIClUqFU6dO4YMPPgBQ+oXx22+/4ejRo/Dz84NMJkOTJk0wZswYLFmyBHFxcejXrx+ysrLw3//+F+Hh4TY3yRJCSEPE4/FYaYqXlxfS09Ph6+uL8PBwm/KS3Nxc8Pl8FtQnJSVh9uzZEAqFkMvlbBZYANi9ezdGjhzJgkkej8eCeoFAAJlMBh8fH/j4+DgMOPft22dX1liWk5OTXVDv5OTkMFNfdj4Q7iZf4O/yG27MBoMBIpEImZmZsFgsdlcCdDodCgoKEBAQgFu3bkEmk7HHJiUloWPHjlVqDPGoZDIZO8GQy+VVDuobEwrqSZ0ICAhAdHQ0fvnlF4wYMQJTpkyBv78/9u3bh8TERIjFYvj7+9vcMNmqVSvMmTMH//3vf7F06VI0b94c7777LubNm2cz01tFZDIZVq5cia1btyI+Ph5KpRLu7u4ICQlBt27dAJRONnH27Fl8/fXXUCqV8PDwQHR0NKv3r2y9I61bt8Ynn3yC//73v1i2bBlEIhE6d+6MiRMnPtIlvEGDBqF58+bYuXMnvvrqK9ZloH379li+fDnbbvDgweDxeNi9ezf27dsHd3d3DBs2jPXzf1Rt2rTB8uXLsX37dqxZs4Z9cYWHh9u0KZ07dy4SEhKwb98+JCQkwN3d3eZG4AEDBiAlJQUbNmyASqVifeq7du2KuXPnIjExEYsXL4abmxv69OlDXW4IIQ0ed5Mrl612d3fHpUuXMHLkSAQHB+PYsWNsW6PRCIFAALVaDbFYDHd3d1ZL7+bmZtNm0s/Pz6ZssmymXiAQsJ8rah5QvnFEeXw+v8p14mWTaCaTiZXfcJl6Pz8/Ntstj8dj3e/K3yCr0+lgMBjQrl07XL9+3Saoz87OrvVJnUQiEbvJVyaTUVBPSGXGjBlTYRDJ9SfnDB48GIMHD37o/rp3747u3buz35OTk2GxWGxmfvv0008rfLyHh4ddj/ayQkNDHzqBUWXrKzp++/btsWLFigof06RJE+zdu9du+RtvvIE33njDbnmbNm1sJgOpyD//+U/WDtOR/v37V9gv2NF4OEFBQZW+DkKhEOPGjcO4ceMcrndxcalwMpZu3bqxEy1HwsLCHjo+QgipaxqNBnK5HHq9ngWncrkcWVlZeOGFF5CVlcVaRx45cgRisZjdd8SVzBQVFUEul8PV1dXmJk4nJyebwJzP57OMuVAofOze7tUJ6gFg+vTpWLt2Lbt3wN3dHWKxGGazGU2aNEG7du1gMBhssvM6nQ4mk4kdhwuo27ZtiwsXLkAmk7HyG25yq7ri7u7eaOrkq4OC+jo0c+ZMu8tkMTEx6NChYd/4Wp++/PJLhIeHQyaT4f79+0hMTETLli2p1poQQki9ys/Ph5+fHyu94fP5kEqlsFqt4PP5cHV1ZUH9d999h+XLl2PdunVITU3FvHnzAJQ2M/Dw8IBIJGLtFrlWil26dGHHKpup9/f3x3PPPfdYY+fxeNUK6gcMGGAX1Lu4uLBJs0QikcP6eJVKxbrtcOtDQ0Oxfft2dOrUiS3TarV1GtS/+OKLjaajTXU8ec+oAVu1apXDG1rS0tLqYTSNQ0lJCTZu3AilUgkXFxdEREQ0qptWCCGEPDlOnjyJHj16AChtV+nn58ducOXKaLiuXRKJBH/99RcuXLgAsVgMmUwGmUyG3Nxcdr8Qd3Ntv379EBUVhQULFsDT0xMA8O6777Ljls3Uu7q6on379o/1PPh8vl3N+8NwHWO4mnqZTAaxWMx684vFYhQXF7OySScnJ0ilUiiVSrRo0YKV5wB/d6GRSqXsCgd3QlMbbty4wVpQc608Y2JiauVY9Y2CetKgVVSuQQghhNS1b7/9Fl27dgWfz2eZei7LzAX1XC28SCTC1atXsXv3bnbTanBwMN555x2bfXp4eEAsFiMgIAAajcZh8q/sjbI1obrlN9zVA6PRCKvVCrFYDIlEAo1Gw9pyHjx4kG2vUCgQERGBS5cuQSaTobi4mAX1Li4ukMvlKCoqYq9VbWbqv/32W/b6m0ymKt2T11hRupMQQgghpApKSkpYcKpWq6FQKGAwGNgNr66urixT7+TkBIlEgosXL7JM8T/+8Q+8+OKLbH8bN260aSig1WodBp3dunVjs7LXhOoG9U5OTvj6669ZNl0oFLKgXiAQQCgU4vr16/Dx8YG7uzu8vLwwePBg7NmzB3K5nAX13GuycuVKvPDCCzAYDLBYLLVaU69UKpGamvpEltuUR0E9IYQQQkgVqNVq6PV6FBUVITs7Gx4eHqz7DZ/Ptym/AUqz0hkZGQgICHC4v4iICJsMPDfLbHnPPvtshTOBP4rqlt8AQPPmzVkNPBfUf/755wBKr0qkpKSgQ4cOiI2NxeTJk9G8eXPweDyboJ67wbZNmzbo1KkTsrOzMX78+BoP6s1mMywWCywWC2sj6urqCldXV7tJLZ8kFNQ3AFx9ONcGihBCGiLuM4ruaSFPg4yMDLtlarUahw8fxrBhw/Ddd9+x7jfcjbJc3TyHK6Xp06dPlY5Z2ezhNaW6mXqgtJXmzz//jGvXrkEkErGTj8zMTIhEIohEIvj6+sLf3x99+/ZlJzJcUK/X69GzZ0+bLj7nz59HUVER7t+/X6NB/b59+zB9+nScPHkSrq6u0Gq1UCgUCA8PR3Jyco0dp6GhT+YGgKv1unv3bj2PhBBCKsZ9Rj1sUhtCGrpr166xEpqKWK1WmzKZ33//HXq9HiUlJfjqq6/g7OwMtVrNes3zeDwIBAIoFArMnTuXPc7FxQW//fabTc/5hynfsrm2PEpQz22fn5/PMvUAcP/+fYhEIgQGBkIul9tMVgXAJlP/zjvvsL73XHJgyJAhrP1lTcnNzcWZM2dw6NAhVhKlUCjwwgsvYOXKlTV2nIbmyS8wagRcXFwQFRXF+nC3bNmy2pfFCCGktpjNZty9exd79+5FVFRUhdPSE9IYjB07FmvXrrWZA6W88gHmW2+9hbVr17Ke9P7+/igqKoJUKkVKSgqMRiPkcjkA2JTTlC/HqYrWrVtXa/tH8SjlN2VPAqZOnYr79+8DACZOnAiRSITmzZvDw8PDrnyobFBfPuAHSuesSUpKYp1wHtfdu3dx/PhxAKU3+EokEshkMnh4eEAmkz30fW/sKKhvIEaMGAHg4RMAEUJIfYqKimKfVYQ0Fvfu3YNQKIS/vz9bVtnEQ1wmX6/Xs9KSCxcuACjN4nPBqUQiYWU6jmZxXbJkSbUy4qtXr2YnB7Wpun3qucfExsZi79698PHxwYMHDwCUZtqvXr2KTp06oV+/fnaPUygUyMrKglqtdpgQ8PHxwYoVK3D27NlHezLl7Nq1CxcvXgRQeuOxl5cXy9Q/6SiobyCcnZ0xcuRIxMbGorCwEBaLpb6HRAghAEo/nzw8PChDTxqlP/74A3K53Caoryyg5W4IzcrKQvPmzREcHIxLly7B2dkZFovFJqh/2D6rW6rWq1evam3/qB6l/AYAFi5cyMqLyj6+Xbt2FU4K6eXlBY1GA4vFwkpvOM888wyA0nr9miq/4fY5ZcoUXLlyBaGhoXB3d6egntQ9FxcX+uIkhBBCaojRaLRrRFFZQKvT6eDn54cTJ07Az88P7u7uuHbtGp555hk8ePCATQYlEolw9uxZ5OTkYOHChbX5NGrUo5TfcLirHNUplxk9ejROnDhht/zHH38EUBrU19SNstwJV1RUFI4dOwZXV1dMnTrVYenPk4ZulCWEEELIE8tgMMBkMiEvL48ts1qtD32MTqdD//79ceTIEXTr1g18Ph/u7u5sJlc+nw8vLy84OTnB2dkZ3t7eEAgEtfo8atKjZurL0mq1Vd42MjIS06dPr3B9TQb1er0e8+bNg0gkQn5+Ptzc3CAWi+2uEjyJKFNfh2bOnGnXCi4mJuaJna6YEEIIqW9cUP/RRx9h3bp1AOxbSJvNZhw/fhx9+vSBxWKBTqeDq6srNBoNgNISEqvVirCwMOzfvx98Ph/e3t7s8Twez2YSqYauJoL6li1b4s0336zy9g8Lqms6qO/QoQNEIhEKCgqe6Blky6Ogvg6tWrWKSmsIIYSQOmQ0GqFWq6FWq9my8vXbv//+O2bNmoWjR49i/vz5ePXVVyESidgNs0FBQZgxYwa7mVMoFOL111+32cekSZNq+ZnUnMcpv+H4+vrW2HOu6aBeJBJBLBbDbDbXyY3HDQWV3xBCCCHkiWUwGFBYWMhufgX+Durz8vKwYcMGFBYWIjQ0FMnJyTh9+jRUKhXEYjHbLjg4GCKRiNWTCwSCRpWZL68mMvU1ic/n19iNsmWDegA1OhNvQ0dBPSGEEEKeWEajEfn5+TY3dp47dw5ZWVm4evUqvvrqKxQWFqJ9+/a4cOECzGYzbt26BbFYDIlEgtdee411dnFzc4OLi0ujqp93JDAwEL6+vvU9DEYgEGDv3r24fPnyY++rfFBPmXpCCCGEkEbCZDJh6NChUKlUduscZerj4+OxYMECPHjwAD4+PsjIyICnpyfS0tLQsmVL3Lt3jwX1/v7+rB68bdu2mDRpUqV97hu6rl27IiQkpL6HwXAnSUql8rH3xQX1QqEQLi4uT0XXGw4F9YQQQghp1NLT05GWlobi4mIAQEZGBpuAyGg0oqCgAAaDgXW9cXV1hclkwv379xESEoKMjAwoFApkZ2ejadOmKCwsZEF92RlinZycIBKJGn2mvqHhSoG49+9xcEG9s7MzfHx8Hnt/jUnDKaiqosuXL2PevHkO18XFxSE0NNRm2dWrV5GUlIQbN27AaDTC09MT/fr1w6hRoyo8xq+//orPP/8cYrEYSUlJNuu0Wi2+/fZbnDhxAiqVCgEBARg+fDiio6Mf/8kRQgghpNqysrIgkUjYja0bNmxAWloaNm/ebJOpz8/PB1D6Xd6iRQskJycjOjoaBw4cgKenJ7RaLdzd3ZGWlsZKOMpOMAWUBqAU1NcsZ2dn/Oc//8Hdu3cfe196vZ5dSWnatOlj768xaXRBPWfs2LEICwuzWda8eXOb348cOYLVq1ejZ8+emDlzJsRiMTIzM1FQUFDhfvPz87F582YoFArWyqqspUuXIiUlBePGjYO/vz+OHj2KuLg4WCwW9OnTp0aeGyGEEEKqLisrC4GBgdDpdFi7di2uXLmCjh07Aigtv1GpVHB2dsbPP/+M2NhY7N27F02bNsXZs2fh4eGBrKwsuLu7Q6PRQCaTIT8/H66urnBxcbEL6oVCYaMvv2mIfHx8cOHChcfej9lsZpn/FStWPPb+GpNGG9T7+fnZZeXLys/PxxdffIGBAwdi2rRpbHmHDh0eut8vvvgC7dq1g5ubG06dOmWz7vz580hOTsasWbPQu3dvtr+cnBxs3rwZvXr1euwWUYQQQgipnuzsbBbUJyYmIiQkhPUnNxqNLAOfm5uLgIAAAIC/vz98fX0hlUqh1+shEAig0WgglUpRXFwMV1dXSCQSu1bUQqGQMvW1QKFQsCspNeVpe5+e2Jr6/fv3Q6fTYfjw4VV+zOHDh3HlypUKJ1M4ffo0JBIJevbsabO8f//+KCgowK1btx5rzIQQQgipOrPZjEmTJiEvLw8BAQHQarXo2rUrVqxYwUpxDAYDzGYz3NzcWLAuEAjwzDPPwN/fnyXjuKBeJpMBAJuJtGxNPbfd0xYs1gWpVOrwRmdSdY02U79+/XqsWLECIpEIoaGhGDlyJGs5BQBXrlyBVCpFeno6Fi9ejNTUVEilUnTr1g0TJkywO/MuKirCV199hXHjxsHLy8vhMVNTUxEQEGCXjQ8MDGTr27RpU7NPlBBCCCEOlZSU4OLFi1AoFGjXrh1Wr14NPz8/SCQSaDQaZGVlIS0tDQBYUO/m5gaBQICQkBCMGzcOOp0Ob7/9NgQCAcxmMwvqXV1dMWjQIDRr1szmmFR+Uzv4fL7dTL+kehpdUO/i4oIXXngB7du3h0wmQ2ZmJnbu3Il58+Zh4cKFiIiIAFBafqPX67Fs2TKMGDECr7/+OlJSUrBt2zakpqZi+fLlNlMWr1u3DgEBAXj++ecrPLZKpcIzzzxjt1wqlbL1D+OoRt8RygIQQgghleNaIN65cwfPP/887t+/D3d3d4jFYhw5cgQZGRnIzMwEUPpdrVQq4erqCj6fD6FQyJJyoaGhLPiXyWTg8XgQiUQ2yUIOfUeThqrRBfWtWrVCq1at2O/t2rVDVFQU3nnnHWzevJkF9VarFQaDAWPHjsWIESMAAGFhYeDz+fjqq69w8eJFdhPNyZMncfbsWaxZs8Ym0K9pEyZMqNJ2o0ePxpgxY2ptHIQQQsiTQK1WQy6XQ6/XszIZk8kEPp8Pq9WKe/fusW2lUikyMzMhkUgcBuXcMplMBjc3twrjgYiICIfBW6pwNgAAIABJREFUPiH1rdEF9Y64ubmhS5cu+OWXX1h/Ui57zgX5nMjISHz11Ve4c+cOOnbsCK1Wi/Xr12Pw4MFQKBRQq9UA/p5CWq1Wg8/nQywWV1jvxS3jjlmRzZs325X9OEIZAEIIIaRySqUSrVu3hlKpZF1quJljJRKJTd9zNzc3GAwG8Pl81h2lLG6ZVCqFm5tbhcek8hvSUD0RQT0ANqEEd2YdGBiImzdvVrqdUqlEUVER/ve//+F///uf3fajR49G165d8eGHHyIwMBDHjh2D2Wy2qatPTU0FYN9SszwXF5cqBfWEEEIIqZxKpULr1q1x+/Ztm0w9AIjFYhQXF6Nfv344dOiQTVDvKHnGBfVCoRCenp519yQIqSFPRFCvVqtx7tw5tGzZkp09d+/eHb/++isuXLhgU65z/vx5AGDTI3t4eGDp0qV2+/z+++9x5coVfPzxx+ymmaioKPz66684deoUevXqxbY9ePAgFAoFgoODa+05EkIIIcSWSqVCUFAQCgoKWFDPBedc5v6DDz7AoUOHoFAooFQqKwzquWVCoRDDhg2ro2dAyhIIBDAYDI98JYRL3D6tGl1QHxcXB29vbwQFBUEmk+HBgwfYtWsXioqKMGPGDLZdREQEnn32WSQmJsJqtSIkJAQpKSlITExEly5dWD2cUCi0m8QKAA4cOABnZ2ebdZ07d0bHjh3x5ZdfQqPRwNfXF8eOHcMff/yB999/n3rUE0IIIWVcunQJnp6e8Pf3r5X9FxUVISwsDIMGDQKPx0P//v2RkZEBAGwSSa6UxtfXF0ajETwe76GZeoFAgMGDB9fKeMnDWSwWHD58GAMHDnykxxuNxqe6hLnRBfWBgYE4ceIE9u3bB61WC6lUirZt22LmzJl2mfIPPvgACQkJ2LdvHxISEqBQKPDiiy9i9OjRj3z8efPmYevWrdi2bRtUKhUCAgIwe/ZsREdHP+5TI4QQQp4oFy5cQEhISK0F9adOncLIkSNZlj40NBQ5OTkAgAULFuCTTz4Bn88Hj8eDt7c3AIDH4z20pt7ROlI3goKC8Nlnnz1yUM/dV/m0anR/uSNGjGDdbCojEokwfvx4jB8/vtrHee+99/Dee+/ZLZdIJJgyZQqmTJlS7X0SQgghTxONRgOj0Vgr+7ZarWzWV45QKGRBeUBAAJYvXw4ej2dTJ19Rpp7H41W4jtSNqVOn4saNG5VuV1RUBHd3d7vlZbsgPY2e2BllCSGEEFK7KqthLikpsQnqL1++jLfeeqtGjm02m+2y6kKh0CYod3d3h5OTEyQSCZtYsqJMPfd4KqVt+Pr37+9w+cWLF5/qzkQU1BNCCCGk2rRaLT755BMAQGFhIU6fPu1wG64bDQD89NNPyM7OrpHj6/V6uwCuoomhJBIJxGIxfvjhhwpvlAVAHeoagYedSM6fPx/Ozk9vaPv0PnNCCCGEPDK9Xs/maTl8+DCmT59ut01JSQkL6o1GIy5dulRjEzc56pJSPlPP4YL15s2bU1DfwInFYmg0mgrXm83mCteZTCYUFRXVxrAaBQrqCSGEkCec1Wp1OHni4zCbzWyiJ7Va7XDCJq6m3mAwYOHChQgMDITFYqmR4xsMBrubIgUCgcPSmrJ19w8rvym7HakfvXv3RnR0NPLy8hyur+jvR6fTAQAKCgpqbWwNXaO7UbYxmzlzpt1loZiYGMTExNTTiAghhDwNMjIykJCQgNmzZ9fYPs1mM6uXV6lUFQb1JpMJBQUF2L9/P4YOHcpmbn9cBoPBLuNeWaYeqPhGWYCC+oZg0KBBKCgowO3bt9l9EGWVz9QXFRWxLkvA09296Ol95vVg1apVdGmPEEJIndPr9SyrXlPMZjP0ej2AvzP1Go0GGo2GBWPcjbLFxcUASoPrwsLCGjm+o0x9RUH98OHD2c9isRh+fn4O90lBfcMQFBSEmzdvIioqym5d2aDeYrEgOTkZ586dg4eHB9566y2MGTOmLofaoFD5DSGEEPKEMxqNNjes1gSu/CYnJwdJSUmQSqVYsWIF5s+fz7bRarUwGo2szlksFj+0Jro6/h97Zx4eVXm+/3v2fSaTmewhJAEh7IhAUcAFqVQUtHXFrS5ouQT9KiJ+lbpwSYVqS8WVWvuV1gUUi3upIohAFWWRVZZAEsg6yezrOXNm+f0xv/dlzizJJJmEAOdzXV6SWc6cmZzJud/73M/zpHLq0xXKXnrppfTfarUa8+bNS7nNBQsWZGXfBLpHv3790NDQkPI+chx/8803aGpqwosvvohAIAC73Y68vLxzuk+9IOoFBAQEBDrFuT6K/UwkGAxm3akPhUIIBoNoa2sDAGg0GtTU1KCoqAhWqxVWqxUsy4LjOOrOZ7MHfGec+kwpLy/v5l4JZAOz2Zw2U08WhW+99Ra8Xi/a2trg9/tht9uRm5vbm7vZ5+hy/GbTpk1Z24kpU6ZkbVsCAgICAj3LuHHjsHPnztO9GwKdIBgMdmsI1NGjRxEMBjF8+HB6G3HqXS4X7rjjDlgsFnAcB5/Ph23btsHpdCI/Px/hcJg69dl0UdM59edypvpsQSqVpr2iQwplm5qa4PV6wbIsGIaBw+HAyJEje3M3+xxdPvJffPFFiESirOyEIOoFBAQEziwYhjmnJzeeaXAc166oZ1kWMpksbY/vI0eOgGVZDB8+nE7zJKLe7XajoqICjY2NkMlktK3gsWPHMGDAAF6mvqed+tLSUl7URuDMpaamBnv27MHo0aOxdetWhEIhXHbZZVTsO51OWnQtOPUxurWcLS8vT1nEkCnbt29HXV1dd3ZBQEBAQOA00NDQgIEDB57u3RDIkI5E/Zo1azB69GiMGjUq5f0ej4c6pFOnTsXOnTtpoazL5UJpaSndfjgchsvlQk1NDa644gqsWbMGgwcPhkwm63GnXqvVpn0PAmcWQ4YMwQcffIDRo0dj7dq1UCgUuOyyyxAKhSCVSlFcXExFPcnUG43G07zXp5duifrKykrMmjWry8+3WCyCqBcQEBA4QwgEAvjiiy8AxET98ePHMW3atNO8VwKZ0FH8hvSST4fX64VIJOJtIxQKgeM4uN1u5OTkwOPxoKioCIMGDcLf/vY3qFQqGI1GWK1WKJVKGAyGrDr1LMue00WRZzuLFi3C888/DyB2/JlMJgCxReOsWbPQ0tICm80G4NTk4mweX2ciXS6UVavV3f4yyeVyoX2UgICAwBnCt99+i2XLlgEAHA4HVq9efZr3SCBT2nPqA4EAr+d8KjweDwKBANxuN72NOPVutxsGg4HGHyZNmgSfzweXywWdTgcgdrwYDIasinCO4855EXc2o9VqqRPv8/loS/BwOAyxWIycnBwcOnQIGo0ma3HwM50uO/Vr1qzp9ovff//9uP/++7u9HQEBAQGBnufo0aMoLi6Gz+eDzWajLplA36c9p/5///d/MXjw4HZFvdfrhVKp5E2lDYVCCIVCVLC7XC4YDAaUlpYCiIluIup9Pl+POPXnetzibCZeqPv9fmg0GgCxQlmJRIKbbroJ119/PQYMGAC5XH66drNPIbS0FBAQEBDIiBMnTmDAgAHIzc1Fc3MzfD7f6d6lc4Z4h7wrpHPqo9EoLBYLwuFwu33svV4vGIah+3HdddfRgkW73Q6NRoNIJAKVSgWpVEqFPRH1Uqk0K1f440mVqRc4u9i6dSu2bNkChmHosRMKhSCRSFBeXo477rgDc+fOhUajEY4FCKJeQEDgDIZ02BDoHSKRCHQ6HfLy8tDY2Aifzyf0rO8l4gc6pePjjz+m/7bb7dizZw/9OZ1T7/P54Pf7O4zfBAIBXvzmxIkTVNQHg0GIxWJIpVLaEenNN98EEItQALGhU93tIZ9q38n2Bc5ObrrpJhw8eBBisZgeb+FwGBKJBADw4IMP4uKLL4ZKper2wvdsQGjm2ovMnz8/qV3YVVddhauuuuo07ZGAwJnNsWPHsG/fPqELSy+iVCphNpuxd+9emqkWWlv2LNFoFK2trR0+bsmSJbjmmmsgEonw6aef4h//+Ae++eYbADHhncqJJ32+E536PXv24F//+heeffZZALFWlCzL8uI34XAYIpGIFtjGi3riqhKnXqVSQaFQZDUm4Xa7odfrs7Y9gb7HjBkz8P777yM3N5fXXSlxFsE999zDW8Seq2Rd1NfX12Px4sV0lS5wiuXLl9NCDwEBge4TDAazNnJeIDNUKhUkEgkdJuT3+wVR38MwDAO/35/RY10uF3JycsCyLO98ky5+43a7wbIs7WQTCoVw9OhRfPHFF6iurk65fUI4HKZZeiAm6omYJ/8nOWilUgmZTJZVUe/1eumiQeDsRKFQYN++fZg8eTJddJJC2XiGDx/OG4x2rpL1+E0oFKIjowUEBM4N9uzZc1ra06ZzHwV6DhKj8Pl8UKlUVGwGg0HqCgt0D4Zh0NzcTH/2eDxp200mxp+sViuAWFwmPr/OcRyNLMS/Dtk2id80NzfjpZdeQn19PSorK5Nez2q1UnecYRicd955aGxsBMB36mUyGW+6a0849R6PR4jfnOXI5XJ4PB7odDqeqE88lgVidNqp76iFmcPh6PLOCAgInJkcPnwYxcXFKC8v79XXFZz63kepVCISiaCgoABOp5MWy7pcLmzatAmXXXbZad7DMw+bzUZ7cAPAwYMHsX37dsydOxdATLwyDJP0vPr6etx8883Ytm0b7RTS1taGgQMHIhAIIDc3F4FAACqVKmX7x0mTJuGZZ56hi+NQKASLxYKjR49iyJAhCIfDaGhowJdffkmfY7VaUVhYCLfbDYfDgdLSUuzYsQMAX9SLRCIYDAYAwN/+9je8/PLLmDhxIvLz87P2uaWKYQicXSgUCrhcLmi1WmoYC6I+PV0S9UajMe0XSXDNBATOPYgg6G0Ep77nWb58OWbPnk2jGyqVCuFwGO+//z7ee+89+Hw+7Ny5E4FAoN3hRQKpCYfDWLx4MV566SV6m8Ph4MVcvF4v77MlQt3hcIBlWTidThiNRqjVavznP//BhRdeCIZhUFxcDLvdjpKSEgSDQeqSb9q0CQcOHAAAfP3115BKpQgEAuA4Dq2trRCJRHC73VAoFDh69Chef/11TJs2DX6/Hy6Xiy5A7HY7xo4di7vvvhsAP34DgIr6YcOGQalUYtKkSQBAix4FYSbQEXK5HOFwGDqdjg5IExZz6en0p5KXl4e77rqLfjkTqampwcMPP9ztHRMQEDhzIHnc3kYQ9T2PxWKB3+/H1VdfjYsuughKpRLBYBBarRajR4/Ghg0bsGHDBjidTkyePPl07+4ZRzAY5Lnw1dXVWLZsGcaNG0dv83g84DgOkUgEHMdh8uTJ2LlzJzweD0wmExobG2E0GnHBBRfA7/eDYRgEAgGUl5fD6XTyRL3X68V7771HX7O1tRUGgwF+vx8cx8FiseD888+nrqjNZkNBQQF0Oh2NWkmlUkilUjQ0NGDo0KEoKiqit8fXVxBRL5PJcNttt9HbpVIpbUsoINAeZCGq1WrBcRzmzZuH22+/XTh20tDpTH1FRQVqamrS3i8SiYQWZwIC5xikwI78u7cQ4jc9T7wDH41GaaYeAMaNG4fvvvuOFs2ejoXdmQ7LsjxRf+LECTidziSnnnSZiV/EejweDB48GE1NTbR4sKqqCocPHwbHcVCr1eA4DitXrkRLSwuUSiUOHDiAPXv20OmuZGCU3+/H119/jcOHD2PUqFEwGo2IRqOwWq0YOnQoryBVJpNh8ODBOHbsGE9cJYr6W265BUBMF1x00UX0drlcLhwrAhkRL+oDgQD27duHdevWJRXKCsTo9Kfy61//GkOHDk17f1FREf7whz90a6cEBAR6lmAwiLVr12ZteyR+wzAMLrzwwqxttyMEp77nYRiGFkLK5XKYzWaYzWYAMbE2ZMgQGrkQ4jeZ8dlnn2HLli0Akp36hoYGALGuNB9++CGAmHjPyckBwzC45JJL6GO9Xi+qqqpQV1eH6upqyOVyVFZW4sSJExCJRJBKpQiHw3jzzTdx8uRJqNVqWkirVquh1+vhcrmg1+vh9/tx7NgxHDp0CEOGDEFOTg6AWIZ+2LBhtIsNEBPvVVVVqK2tbVfUX3rppSnfv9FohN1u785HKHCOIBaLIZPJoNVqYbVaEQqFsHXrVsGpT0OnRf2wYcMwduzYtPcrlUqMGDGiWzslICDQs/j9fuzevbtTz2EYBj/88EPK+0i7POLY9haCqO95AoEA6uvrAcRE/dixYzF16lR6//Tp03HHHXcAEJz6TFm2bBlqa2sBJIv6xsZGmEwmSKVSLFu2DNFoFF6vFyaTKakRhdvtRv/+/bFp0ybcdtttUCgUMJlMsNlsiEajkEqleO211wDEFmAqlYqKablcDqPRCIZhqKgHYnGrUaNG4b777gMQG/A2ZcoU3nlfKpXSyE2iqM9kYqzZbO52lzwhEXDuIJfLodFo0NbWRk1lIVOfGuH6hYDAOQjpS90ZWltbsWnTppT3Eac+PjLQG/SmqP/888/x448/9spr9SX8fj/a2tpQWFiYsh3hxRdfjN/97nc0ty3QMdFoFAqFAna7HS6XiyfqvV4vZs6cSYc8+Xw+eDwemM1m6rITPB4PSkpK6KIrGo1SUQ/EBPfevXsBxBblSqUSDocDVVVVCIVCyM3NBQAavwFO9ZMvLi4GEJsiXFZWxusBTtpVAnxxJZPJMhL1eXl5Se+ls3Acl9X2mAJ9F4VCAaVSCbvdjunTpwOA4NSnodui3uVyYcWKFdnYFwEBgXZ45ZVXsuZOdUUMk6mTqSCZ+s6IeqfT2W1ntzcz9Z988gk+++yzXnmtvgTDMLBarSgqKmpXRCmVSsGpzxCVSoVAIIB58+ZhxYoVcLlcdHIrx3GYM2cOlixZgjFjxsBms8Hj8SA3N5cnhN955x14vV4UFRWBZVkAsd8VEfUkfkPgOA5SqRQ2mw1z5syB2+2G0WgEAOj1egQCAQDgZedJm8x4yHaJqI8XV4sWLcrIQc3Ly+u2Ux/fzUfg7EYul0OhUCAYDNKFqCDqU9NtUe/3+7Fp0yZEIpFs7I+AgEAaVq1axXNC29raujwXoj2B3t5z0i0EiFOfKn7z4YcfplyMrF27Fvv370/7eq+//nqH+9SbTn385EzCa6+9Bq/Xm/TYaDSKyy+/vFf2q6cJBALUqW/PhVUoFIKozxC1Wo1AIACtVovm5maEw2E6bCoSiUAikWDIkCEYN24crrvuOhq/iRf1L774IqxWK0wmE3Q6HcxmM3Xj3W43otEoT/iQNoAOhwO5ublwuVxUIMXHb+JFPWk9mYhUKqWCOv41Mu1Bn5eXh9bW1kw/rpSQ9ypw9iOXy+nvmhxjQqFsaoRPpReZP38+7r//ft5/X3zxxeneLYEzAHIyjxf1GzduxM6dOzN6vs/n442Z74oYZhgm7UIgPn6T6NR98skn1EmMJxAI8PYpETLQJp5wOIxDhw7Rn3tT1Ov1erjdbt5tJ0+epMOX4rHZbO1etXA6nTRT3dchor64uDhpeFE8pNWlQMcQp95gMMBisQCIRWneeOMNGrsBTrWEZBgGBoMhyd2ORCKQSqXQ6/XIz8+nMZ7KykpMnz6dOuolJSWQy+WQSqWw2+0wGo08p568DsAX9UajMWmhRrL65HveFce0qKiINzG3KwhO/bmDRqOhxxup5RBqqVIjVBr0IsuXL4darT7duyFwBuF0OvHmm29ixowZAGJuOTnpOp3OjI+nTZs2QS6XY9q0aQC6FlthGKZDp5500ointbUVfr8/yVVjGCalIGZZFgqFIqXr39bWhn/84x9YtmxZl99HVxGLxUlXJBmGSelO19XVtbutn3/+GYcOHcI999yTzV3MOmT+AInftLS0pH2sEL9JTSgUolNYCUqlEgzDQKVS0WPK7XajtrY2pagHYldCSBciICZ0yHfNYDCgoKCAut8LFiwAAHz11VeIRqO44YYbsHr1akgkEjq4inTUkUqlUKvVUCgUYFmW1+UmLy8v5fdQJpNRQd2VhVw2WloKov7cIX6hSTpvpZqwLCA49QICfRqv14uWlhZ64ow/gTocDpqD7QiWZXkn0a4Uyrb3HJKpTzzRhkIh2O32lI58IBBIKeonTpxIO34knvgdDgcv7tJbor6urg4+nw9arZZ3O8MwKUUNaUuYDr/fD7/f3+frkRiGob3MBw4ciIKCgrSPVSgU57R7Nnbs2KSiVwDYvHkzrr76at5txKkn31+FQgGPxwOfz8c7nsaMGYOKigqEQiFccsklCAaDEIvFePDBB2EymajAGThwIAoLC5MWnRKJBKFQCGq1GjKZjA59kslkdKGt1+uhUChotOqxxx6jz8/Pz+cJKkJ8/Ka9q23t0d2ZNmTxL3D288QTT9B/SyQSiMVi4apgGgSnXkCgDxMIBOD1esGybNIfMofDkbFbQcQAAHz66adwuVwpxbDT6UQwGEyZjU0l6l966SU8+OCD1KknPYUJVqsV0WiU5z4SGIZJKwhYlgXLsggEArztEVHf1NSEL774AidPnkQwGMSePXswevTojD6LrvDCCy/QYq3E95Dq5OLz+aBSqdJuz+v1wu/34+eff876vmaLN954A0OHDkV+fj4sFguGDRvG64CSCOmaci7z5ZdforCwEBdffDG9rbW1FSqVCtXV1diwYQMuvfRSKuqJCDcYDAgEAnRyLCEvLw9DhgxBU1MTiouL8fLLL+Puu++mAp04+U899RSdJBsPiSyo1WoavwmFQpBKpbQDDxlCJZPJUFZWxruikJeXl1bUS6VSLFmyBEOGDOnSZ0UKH7sqzAWn/tyhtLQUwKlIJrmqJJCM4NQLCPRBDh8+DKfTyTvR63Q6+ocsHA7Dbrd3StQTsbB3714cOHAAoVAIPp8P27dvp49buXIlHn744ZTbSJWp37ZtG6LRKO1TTzpsEOx2O5RKJR544IGkBQGJ3/h8PkSjUZ7L6Pf7wbJskui32+1U1H/++ecAYi76gQMHMvocukq6xUc6Uc8wDNRqddqrCH6/Hz6fr9f7+nfEm2++iTfffBNAbAH1/fffY8SIETAYDCk7ocRDRH13CyDPZFJ9J9va2pCXlwe73Y6vv/4aP/zwA2QyGc+lnjhxIoYOHYq2trakAkCVSsUTr0TQazQaOiAKiAl3UvhKIHl3lUpFn0cKZgHwRL1EIsG6det4z6+qqsKkSZOS3idx6n/1q18lvWamyOXybrmtglN/7kH+Bl133XUYOHDgad6bvokg6gUE+iDffvst6urqeE69VqulJ8H169djz549XRL1LS0tqK2tRSgUQkNDAzZu3Egfp1Ao0m4zlVPvdrvh9XqpU08u7QPAyy+/jObmZprLJcNsCOS9zZkzBz///DPGjx9PC4LJNsm+EKHodDrh9Xpht9vR1NSEm266CUDP5ytTxYTIe0gn6slgn1SQ+I3H42l3mF9vE4lEsHr1agCx97Zr1y6MHDmSl+1Oh1arhcViwcsvv9zTu3nasNvtePTRR9Pe39zczPudcxyHgwcPoqCgAAzDwGKxwOv1Jl3RGDt2LMrLy9HS0pJ0n0ql4rnlpEe8Wq3u8PcilUohEomgUCggl8tpdEEikUAkEkEul2Pq1Kn0vkRMJhPGjRtHf45GoxCLxbjoooswYMCAdl+7I7rrtnbH5Rc4s3nooYd4x6XAKbIi6oXJbgICmfHxxx+nHLpCHNsrrrgCQEwMBINBKnyDwSDPqec4Do888kjGmfp4Ue/xeFBfX49wOExFOUGpVCadaDmOw969e3ltMMl3PhAIwG6300w9ubQPAMeOHUNtbS3y8vIAAPv27eP9rQgGg1i3bh0MBgPtaEM6xpBWncQhX7RoEYBYVxkyhIQM2gHQo5diSb4/Fe059UajMe3vh3Qj6mvFXiSSAcTew8mTJ1FaWppU/JyKBx54ABKJpNv9x/syx48fxzfffJN0Ozmu40W93+/HTTfdhMGDB9PCWJZl4fF4qEsdDochEong8/lovUImop4Ut2Yi6omrTp5Htk8GRd18883Uqe8IkUgEsViMQYMG0e9eV8mGUy/EbwQE+HQ7U6/T6TBr1qxe6xm6f/9+XtFEPC+88AKqqqp4tx08eBBr167F4cOHwXEcTCYTpkyZgptvvpk+Zu/evdi8eTMOHToEq9UKjUaD8847DzfffHPSJZ5AIIB33nkH27Ztg8fjQWlpKa6//npehlJAIB3Hjh3DsGHDaIEb4YknnsBrr70Gu91O8+RkfHy8qA8Gg/jnP/8JiUSCoqIiHDlyJKPXZVkWMpkMR48eRUFBAY4ePUq71fh8PjQ0NKC0tDSlU//ZZ5/hueeew7333kud+nHjxmHHjh3w+/1wOByIRCK8TH0kEoHT6URDQwPMZjMqKipQW1vLKzYlC4iFCxfinXfeAQDaMjJe1IdCITQ1NQGIXWUoLS1FW1sbJBIJvfTfk+KYLLBS0R1RT36vfYn43t+BQADhcBhGozEjp14sFiMUCqG1tRVOp5MXDTlbIO0nEyHfC5vNRn/nfr8fJ0+exPTp09HY2EiPUa/XC41GgyuuuAJqtRqXX345Ro4ciePHjwNIFvVKpZJXoE2ceo1Gk5GoJ51qSKaeLLqlUildwGUq6iUSSdaG/giiXkAg+3Rb1Gu1WsyaNSsb+9Ip7rjjDowYMYJ3W//+/Xk/b968GX/5y18wadIkzJ8/H0qlEs3NzbDb7bzHrV+/Hh6PBzNnzkS/fv3gdrvx0UcfYcGCBVi8eDFGjRpFH/vcc8+huroav/3tb1FSUoJvv/0WL7zwAiKRCC699NIee78CZwccx2H58uVYvHgxrxi1paWFun21tbU0n04KRV0uF43fbN26FePHj0dubm6nnfqvv/4a99xzD44dO8Zz6q+99lps3bqV59T7/X7IZDLU1NSgsrKSZurjW/BFo1HY7XZIpVJwHAexWAy1Wo1gMAiXy4WTJ09ixIjhJf3EAAAgAElEQVQRKCgowIQJE+B0OqlAUSgUuPPOO5Gfn0/FPPluOp1O2n7P5/NRZz4QCMBkMuHkyZPo378/FfU96dTH1xLEFxqS+1K15gsEAmlF/c8//4x169Zh6NChPbbPH374Ia6//vpOPefw4cN00RUKhRAIBGhnlEwF+q9//Wt89NFHmDlzJrZs2dKVXe/TNDQ08L63K1asQEVFBaZMmQK5XI5AIEDFOxGser0e0WiUJ+pzcnIwc+ZM3rbJVapUTn38MUZc90suuYT27E6HRCLhOfUSiYRuP76DTWed+myQjfhNqiJeAYFzmTO2+01xcXGSKx+PzWbDq6++imnTpuH++++nt48cOTLpsXPmzEk6aY0ZMwb33Xcf1q5dS0X9zp07sWfPHixYsACXXHIJ3V5rayveeustTJ48WRhdLNAuwWAQbW1tsNls+MMf/oClS5dCrVbD6/VSYdvS0kKd+kAgALPZDKfTSeM3LpcLfr8fOTk5GTtdRGSTsfLFxcWora2F2+2mHVjsdjtvguRHH32EsrIyuFwu5OTkUHFbX18PIPYdMxgMcLvdkMlk1KlXq9XgOA5erxc+nw+33HILCgsLsX37djidTtrJQCQSYd68eYhGo2BZFhKJhDr0DocDGo0GS5YswapVq+j2RCIR9Ho9Dh06hGuuuYZGAD755BPYbDb8+c9/zt4v6/9DHGvgVH/xP//5z7j88ssRDofR0tKCLVu28K7WMQyD8vLylKKeOLIdFZ52h2XLlnVK1G/fvh3PP/882tracNFFF9HWjHq9HkVFRbjuuusy2s6iRYuwZcuWszbrTL4LhP379+Ptt99GcXExdDodL1JFBCuJLsWL+lQO84ABAzBgwICUTn18bI049ZMnT+5wf+PjN8Spjxf15PdE7uuIvubUJ17xFBA418laZsbhcODAgQNJY+tbWlrwwgsvYO7cuVi8eDGOHj2arZdsl6+++goMw2R0YkvlQqlUKpSVlfHyz99//z1UKlVSN4CpU6fCbrf32nsTOHMhHWdcLhf++9//4sSJE1i2bBl8Ph+NlBBXnYh6vV4Pr9cLrVaLRYsWwev1wuv1dmqQGcuy+Oijj7Bhwwbo9XoUFxdDLBZTd7CoqAgOh4P2mt+/fz+8Xi9WrlyJ7777DhqNhjrx5DtutVphNpvh8/mog016YpPFiMPhQGlpKYYPH46cnBxetxciVIi4zcnJoU693W7HtGnTUFBQQItUv/nmG5SXl8NsNsPtduPWW2+lAiUcDuPbb78FEKtbyCbxTj2JJ3322Wd46KGHAMT+LsyfP5/3nHA4DLPZTP9+xHfBqa+vx5NPPtmnojdWqxVjx45FIBCgxwLLsrQzSnsGSiJms5ku3M424uNJ5GcA9DtCnPrdu3enFPUikShloSwQi7LOnTs36b5+/fqhoqKC/kxEfSYQp548J1WmHogtHDIR62KxOGuLUblc3i2nngzvEhAQOEXWRP2HH36IRYsW8bpEBAIBPPbYY9i2bRvq6+uxa9cu/P73v293KmGmrFy5Etdccw1uvPFGPPXUUzh48CDv/gMHDkCn06GhoQEPPvggrrnmGtx222149dVXMxqW4fP5cPz4cZSVldHbTpw4gdLS0qQ/fuXl5fT+9iAdLzr671yfyvj555/3uQLCbMFxHBX1QMy1/fDDD8GyLFpbW6n7Hp+pNxgM8Hq99FKz1+vtcJpsJBJBXV0ddeHjjymRSIRbb70V/fv3h9PpRFFREaqqqmCz2Wg2ePv27fD5fKivr6eX2zmOg0wmo+0abTYbzGYz/T5Fo1GEw2EolUpYrVYMHjwYAOh+5uTk0AVBJBJJuoyfl5cHq9UKtVqNtrY25ObmUoFpMBjwwQcf4JprrkFeXl7KhbhGowHDMFiyZAmi0Sh1xLvKzp07AfAn6cZHBhQKBcxmc1qHc9SoUdizZw+sVivuvvtuuohpaGjA1KlTe+yqXlcGQDEMg+LiYshkMhQWFuKLL76Az+fLKEufyLx581BcXNzp550JpBL1EokEVqsVWq0W4XAYDMPgxRdfTCnqf/GLX8Dn86UV5akc8/PPPx/jx4+nPxNxngnEqSd96BOd+s7Gb0jnnGxA+tR3lcTfhYCAQBZF/YEDB1BaWspzaDZu3AiHw4GLL74YK1euxOzZs8EwTFIv3M6gVqsxc+ZM3H///Xjuuedw3333wWq14oknnsDu3bvp42w2G1iWxbJlyzB58mQsWbIEv/nNb7Bp0yY888wzHXbsWblyJRiGwY033khv83g8KTN85LZUA3biueuuu3DTTTd1+N/atWs785H0edJ1DknHM888c9Zd9SDHWzAYhN/vh8vlQllZGQ4fPkwf09raCoPBwOv5brFYqBtOXDVSnNreCW3nzp24/vrr8fe//x3AqSjA73//ewCxhahcLqdO+pAhQ6hTf/7558NoNNJFJhF2RNSzLIvc3FyeqI9376RSKdra2mg0hoj64uJiWvDq9/uTFiUmkwlWqxXDhw/Hvn37qGg+ceIEBg0ahOrqahQXF8NsNqfsx63X6+n2Q6EQbXfZVebMmUPjFPFOPfksdTod/TxTUV5ejvr6ehw4cAAWi4Ue04FAABqNJqOOMl2BXA3pzKRd4tCr1WqMHDkSb7/9NlpaWrr0GVZVVfXKlN/TASlcf/zxxwHEvleFhYWw2Wy0VsTr9aK5uZkeJ2QByrIsfv/739Oi9VSQmEx7ZBqVAU459SaTCXPnzqU/k/vI35R4sd8eYrE4a5n67sZvBFEvIJBM1jL1NpuNOnOEHTt2QCKR4N5774Ver8fMmTOxceNG7N+/v8uvQ3KHhGHDhmHChAl44IEH8NZbb2HMmDEAYiIqGAzijjvuwA033AAAGDFiBKRSKf72t79h7969aSdQvvPOO9i8eTN+97vfZXXAwVtvvZVRZOJsmsrocDjw0ksv4emnn+7U81paWlLWP5ypfPDBBxg0aBB1Ud1uN/r374+6ujoAMfe8ra0NOTk51KX3+/1wOp0YNmwYmpqaeCfAQCAAqVQKpVKZUiDX1NRg+fLldAFNXvcXv/hF0r6Vl5dj1KhR2L59O8RiMR1HT666EVFPCkQZhqGi3mQywePx8BbJarUazc3NyMnJ4XXuKC0txe7du3HTTTfhpZdegkaj4e2HWCymLRUvueQSyOVymM1mHDlyBFVVVairq6O3JYp6rVYLnU5Hr5Z1xa1OhcVi4eXiSaYeAI1EkSsVixcv5h3nIpEIIpEIBw4cwHXXXYeDBw/y/kbq9XpUVFRk3bEnV0M2b94MiUSSUQE/EfUqlQqDBg3CtGnT8OWXX2LChAmdfn0y4OhsZsOGDVi6dCkYhkFlZSVsNhu9qutyueBwOOB2u/HAAw+gpKQEQOwzViqVdHGcClLQ2h6did8Qp14kEtGrSuS5CoWCCnxSq9IRpM99Nuhuoawg6gUEksmaUx8IBHj5tmg0iiNHjmDAgAG8PxalpaWw2WzZelkAsRP6uHHjUFdXx3PRAFCRT7jgggsAIO2l+dWrV+P999/H7bffjquvvpp3n06nS+nGk9s6qsRXq9UZ/Xc2iXoSJekMWq2WOq5nC01NTTh48CAV5omdLkwmE8+pDwaDcDgcMJlMkMvl8Hq9mD59Ol2gkjhNcXEx9u3bB5Zl4Xa7MW7cODz55JNUQIpEInAcR0V3vPgnkZ5HHnkE559/Pg4dOoRQKES77JCrA7/+9a/paxJRbzQa0dLSgoKCAhw7dowXtzAajairq4PBYMC2bdvoiVev12PXrl20R3uqBS7Zz9/+9reYMGECBg0ahI8++gglJSX0KmBZWRnuvvtu3usplUrk5eXh0KFDvCFd3aWlpYWKeNIbnBybHMdBqVTSK1EHDhxAW1sbnnrqKfp8kUiE6upqTJ8+nXdVBgAqKipQWVlJO5g0NDRkZZ+JqP/kk0/w/vvvZ/ScQCAAnU6H/Px8SKVSLFq0KGM3OBGJRJK1RVVfIBgMIhKJ0K5P5HhmGAYMw6CwsBB2u50XjwNiv0+TyQSRSASNRgOr1QqlUolgMJjWjc9E1E+fPp2XsW+PeGceOCXygVhcLf4K2x/+8IcOt5fN7jfdderJIklAQOAUWRP1JpOJ18O3uroafr8/qe1k/IjqbJJYdEdy7h09Lp7Vq1fjvffewy233MKL3RDKy8vR0NCQ5EIRdzCxpaYAaIykM+Tn56cc0HQm43Q6cfz4cSqMSUSCnMCLioqoux0MBmm3GqVSCZlMBp/PB6VSSQfUkM908ODBmDdvHr7//nvYbDZEo1GsX78e1dXVyMvLg0QiwT/+8Q/s2LEDYrGY5447HA4YjUYAMZdcpVLRaAgR3gaDIWlxS+I3FosFhYWFdPFOyM3NRW1tbco89p/+9Cecd9558Pl8vH2RyWQIBoOQSCSIRCIoLCxEeXk5Jk6ciPfeew9TpkzBX/7yFwAxYVJZWUmfu2HDBqjVaphMJuzZsweDBg2isyzIJNpUbNy4scM+/xaLhSfqr732Wrz++uswGo2Qy+VQKBT0iobD4cAjjzxC6xiA2ALVarUiNzc3KYZ27733UiEVjUZx7bXXJr3+7t27sXDhwnb3MRGPx0Mnhmb63SOuJyn4VavV2L59e6del0CKps8W1qxZg//+97/43//9XwAxUa/RaOByuRAMBpGfn89r1UrODydOnKDxlgkTJmD37t2Qy+UdOvUdnR/Ly8szLpKPF/EAeC0tEzvHZCKQs+nUZ6NQVhD1AgJ8sibqBw8ejKNHj2L79u3w+/344IMPIBKJeAU+QKzzQ3cn0SXi9XqxY8cOVFZWUgfkoosuAgDs2rWL91hS/JYYFVqzZg3ee+893HTTTWn77k+YMAGBQADfffcd7/aNGzciNzcXgwYNysr7OZsg3VSA2OAlMmSoPUiv9KVLlybVPvz44489sp89jdvthtPpBMdxMBqN8Hg8EIvF9HitqqrCkSNHYDabqVPv8Xh4ol4ul1MhTP4/ZcoUlJWVoaamBvX19bT9avz2yWO1Wi3vBB8IBHjigCzM1Wo13nrrLezZs4e6j/FFbQzDwGQyobm5GQaDARKJhBdTMxqNqK2tTVnMeumll0KpVOLYsWM8UU9iLancu0GDBiE3N5c3gCcRs9kMjUYDu90OjUZDF9rTp09P+5zHHnsMNTU1ae83GAxwOp1gGAYajQZSqRRarZa20yX5Z3Klzu12o6amBm1tbVRs9OvXD7fddlvKoV5isRhSqRRisTht3cmxY8c63e/d4/HQxVqmTijpJDJ8+PBOvVYqzrb4TXNzMxoaGuikXIVCgZKSEjgcDhQXF6O0tBSRSIR+5pFIBAUFBTxRP3XqVLz55ptUEKcznXJycrJ6HkkU9fHxm+eee67T2+trhbJna+tUAYGukjVRf+ONN0Imk2Hp0qWYNWsWfvzxRwwfPhxDhgyhj7FYLKivr+/WH60XXngBq1atwn//+1/s378fX375JRYsWACn04m77rqLPm7MmDEYP3481qxZg/fffx979uzB2rVr8fbbb2PcuHEYNmwYfexHH32Ed999F2PGjMHYsWNx+PBh3n+EsWPHYvTo0Xjttdfw5ZdfYt++fXjllVewe/du3HXXXUKP+hQQgdrW1oZ33303oxHyRACdPHkySRy8+eabWdmvjz76KCvb6Swcx0Eul8Pv90OlUkEmk2HkyJF44IEH4HA4UFVVBZZlEY1G4XK5oFKpIJfL4Xa7qUMokUio2JZKpbjjjjuwfv167N27F+PHj4dYLKaiUqFQwO1249VXX00S2YlOl9lsRnNzM09sk1hNfJacRA7a2tpgMBigVqt5zrnRaITdbk87sEiv12PJkiW81zGZTLDZbF3O2T799NN0HzmO67BondBe1EEikdBuJuRzB4DJkydjzJgxkMvlUKlU8Hq96N+/PyKRCBiGgc/no5HDe++9F1deeSWtF0j3OukiiSzLdlq4eL1e5ObmQiQSZSyashllEIvFNKpyNtDS0oLGxka68CKi3mq1YtSoUbjmmmsAAMOHD4dUKkU0GkVZWRlOnDhBF+1KpZJ3Loz/dzw5OTk0YpcNUol68nNXHPe+Uijr9/sRCAR6bZK9gMCZQtZyMP369cMf//hHfPrpp3C73RgwYAB+85vf8B6ze/duVFRUdKn4ilBeXo5t27bhP//5D82BDh06FPPnz09aLCxcuBCrV6/Gf/7zH6xevRq5ubm45pprkpx44v7u3r2b10GH8Nlnn9F/P/HEE3j77bfx7rvvwuPxoLS0FI8++ihv8IzAKYiot9ls2L9/f9ri5HiIsCMxFHISCoVCNIsOxITIpk2bcNVVV3V6v7788ktMnz69150eIurjXfJoNAq1Wo2ioiJUVlZix44d1AEmTj1xdTUaDXJycnj1G+SxFosFV1xxBZ566ilaIKtQKOBwOKBWq5NEdqKQM5vNaGlpoWJ7xowZWLRoEd0OGUZEigOBmECfPHkyvQpAXHwAtEAwESJ440Uu6Ywzfvz4LrV0LSwspAI4FApl1LYWaL9DTKKoJ8fhjTfeiO3bt1NRDwBDhw7ltbTtTGcb0hIxkePHj2PFihWdvrLp8Xh4on7Lli0oKChIujoZT1cWD+cKJFZKhp+pVCrafjX++zNw4EBIpVKoVCr069cPO3bsSLlQ2rRpU6/FRlJl6rtTs5VNp16lUmX8PU1k1apV2LFjR1b2Q0DgbCKr4fYBAwbg4YcfTnv/lVdeiSuvvLJbr3HDDTdk7GSQMfR33nlnu49bunRpxq+vUqlw33334b777sv4OecyJFNPCjnj5xikQyaT0ecFg0Eqfv1+P8/Zcblc2LlzZ5dEPYm39LSQ+fLLL+n+k4yzRqOhvdf9fj896b7wwgu8QrrW1lbq1BPxWFJSgsGDB6cV9US4kzx7/Hbir06RzyC+uD0vLw9ut5uK+jvvvJPuG3HBRSIRneSo1+uh1+tpW0eSHzcajdi2bVta8UAEb3z057zzzoPRaOxWRwyPxwO9Xg+JREIXDIkddhJJ5Z47nU7k5ORQUR8IBKDVanliRiaT0Uw9AEycOBF+v58OwOpMf3epVJrSqSfOMOn773a7eVdE0kHiN16vFxzHYf/+/QgGg+2KeqBnJ9yeycjlcurUR6NRPPTQQ/jmm29gsVioON+xYwcCgQBkMhmUSiUKCwsBIOXfl55qZZqK9uI3XSGbw6d0Ol2n2x0TztQYpoBATyNcuxLoUYgwJ6K+M84MceoJPp+P93P8UKBUNDc3p72P9JvuKm1tbRk93+VyobW1FTKZDNFoFKFQCHK5HC0tLRgyZAivPV1VVRVkMhkaGhrgdDp5hbJEfA8cOBDTpk3jiXoihFtbW6nQJsIh3ql/5JFHkvYv3jEkmWAituNFt1KpRCgUQjQapbGdUaNG8QSCVquli7b2nMjzzz8fH3zwAaZOnUpvGz16NP79739365I86eZD9mnq1KlpYw6EVE791KlT0dLSQrPhiU49EPtc5XI5LTAuLi7GxIkTAcTESrpOWKkWEWKxmF4Rqa+vpy00iXhSKBQ4fPgwfvjhhw7fi9PppE49EPsOWa3WDo/VjuZ2nMvo9Xo0NjbSuIdGo4FWq8WBAwfo91IkEtEiV6VSSWcsdNRzvqeRSCQYOnQo/bkvOfXpusllQleGogkInAsIol6gRyGFssFgMONYBBEzpK0jIVHUsyxLRf3ll1+eJNBmzJiR9jWCwWC3RP28efPwxhtvdPg4lmXR0tJCHXQyxXHixIkYMWJE0nRIhUKBH3/8EUOHDkUoFKK5+3hHXaFQ8EQjOUk7HA5otVqYzWbaJUehULQ7fTZ+u2Qfibsdfx8ZIy8Wi+H3+6FUKvHnP/+Zty2tVpvRZzp8+PCUjrNEIulWR4y5c+fikUceoZ/HsGHD0o6RJ8dNJBJJ2eWFZdm0mXog9pkTF5ZcTVGr1VAqlbjqqqvS9oYnvf7jkUgk0Gg0GDFiBGbNmkWjU/GTa4PBIMLhMO1KlIrvv/8eU6dOhc/no12USF6/PfEkCPr0cBzHu3pExKRWq8XWrVt5w7nI8UtE/fr163ldoU4HYrEYc+bMoT9rtVrk5eV1a3vZyrGr1eqMrtym2w/S4UpAQOAUgqgX6FFIjIYUWab7Ix4Oh/H3v/8ddXV1VHBxHIcFCxbQx3i9Xipu3n//fbAsS4W8y+VKKQZbWlpSuvkkfpNIJBLJqENPfCvD9mBZlraqFIlE1JlfsWIF8vLykkQ9EaRz584FEBPT8fEbICYi4/Px8ZNmVSoVSktLcf/99wOIRQecTmdacRsfBSCCRSaTQSKRJIl6sq8ktpR4cie99rtDd5z68vJy9O/fn36e7TmSRKyFw2HMmzcv6X7SejcUCqV06uMnf5KFl1qtRmFhIQoLC9M6iSzLJl3FkEgkqKqqQk5ODoxGI213So5nEskKhULYtGkTNm7cmHLb5DiIRqO0boNM900n6p9//nlYLJZuCb2zmcTWq2SmADkW4r+HJG9Pvit9Mc5UWlqKW2+9tcvPz2ZLy/aKxzMhsWZPQEAgy5l6gfaZP39+0h/Eq666qkuZ8DMFEr8hQi2dEA4Gg3j99ddx6NAhNDQ0oH///uA4Dna7nbqbPp+Pxng+//xzVFZWIhwO0xMDwzCIRqPQaDRU7C9duhQ33HADJk2aBJ/Ph59++gmTJk0Cy7IphU4wGMSOHTtw2223tfu+4ieJtgcR9cOGDaNiK/6SfGJfavJvUhypVCpp8R3hwgsv5J0M47eXKBgVCgU8Hk/KGMDmzZt5giXezSetKuO3S9ovEgc4kcRBb12huwNpgFNiPp2oZ1kWDocDSqUybZeWSCRChygFAgEUFhby3nP875E4s4MHD8bMmTORn5+fcps2mw233HILxo4dy7udXL2RyWTQarVwOBxwOp147bXXcOedd+L48eP0qpTH40kbOYt/vzKZDIFAgNYXpBP1H3zwAUwmU9oWi+c6fr+ffkfEYjHGjRsHIFY/RuYmxEOu1pytRccikUjo8iYg0IcRRH0vsnz58oyHhpwtxBfKAqB54VSPA4Camhq43W56WyQSgc/ng8FggM/nQygUgs1mw4kTJ7Bw4UKMHDmSPp5hGCxcuBBvvPEGfb2amho6qXPbtm1YtGgRdu7cmdapZ1k2o+4r7V063rVrF51cnCp+Ey++0mVcyW2hUAhKpZIn6hMXhkRAkIhM4n3BYDCla5jY9z3+MYmdcoj7OHLkyLQDmyoqKrBkyZKU92XKtGnTUFVV1a1txDv1UqmUN+znp59+wr333oshQ4ZAqVSm/V2ThWQ4HKaufkdOfUFBAe644460+0XEeW1tLe92MhBIoVBApVLB5XLBarXi6NGjuOuuu3D8+HF6hcrr9ab8DlmtVl67VyLqRSIR8vPz08aiVCoVvv3227SzOc51fD4f1Go1/v73v6Nfv360VkGn02Hy5MlJj4936s9GyFAzAQGBvkm3r6O5XC6sWLEiG/sicBZCMvVEZKdzeYg729DQQEV6ortPWjxaLBb4/X54PB6Ew2H88MMPkMvlYBgGFosFNpsNgUAAubm5aGlpoaK+pqaG1x4wlSgnVxY6oj1R/+qrr9IrBaSANScnB+FwGGq1mufitTdBcu7cuejXr19S/CYRIiBSLRi76hgminqFQgGZTIZZs2bhmWeeSfkckUiEX/3qV116PYLZbKYLoq4S79STKbmEpqYmAKACOl1+PxQK0Uw9EFsoJDr15HVIpr4jWJbFjBkzkqI5JIstl8sRiUQQCoXod4D8/uJFfXydCcHpdNLFAikWDgQCKCkpoRN8U2E2m3HixIm0hb3nOiR+M2rUKCro22PkyJFntVOfzULZ7iAsLAQEUtNtUe/3+7Fp06azatiIQNdI5SAmOvUqlYp3rNhsNvh8PuqYFhUV0fsTRX1rayv69esHi8VChVE4HMZXX32FW2+9FYFAAC6Xi3aqKCwsRDQaRVNTEyKRCJqamlBWVoannnoK0Wg0pUtL+uOvXLmSNygrGAzyeuSrVKqkCaEEh8NB95kMkjKbzQiFQjAajXjsscfoYxMz9cCpuQh33XUXSkpKOhT18QWb3eXDDz8EgCTHmcRvzgQSRX18TIosfDQaDZ1cDMR+T5s3b6Zimjj1JOqS2O9br9fTugfi1GfCddddhxdffJF3G5n8G18kTK4ikThVvKi32+1J2yWLXCCWqSeivqKiAqWlpYhGo/jhhx+SnkuugAmiPjWJmfqOmDt37lnt1GezUBboujgXirsFBFIjFMoKZI34loktLS0AYuIoHA7jr3/9K4CYGIp3Rz/++GNs2rSJCuz4XurEJSUCuaWlhYr6xx9/HEVFRXT7BoMBHo8HLMuioaEBDMOgoKAAWq0W4XAYM2bMwObNm6HVanHixAlwHJe2gDYUCsFqtdKCRQB4/fXX8cADD9CfU3UxITidThp3IO/VZDLR/vPxsZf4lpYEUoxH0Gq1tO91Kki/9FROvcVioZ1wMoFkqydNmsS7/UwSKqTQVyaToaioiLY2ffzxx+H3+3H77bfTCb1kYeb1erFgwQLs2rULAGjdQLxTH//7FolEKC0tBQBcffXVGS2otm7diuHDhyfdTjL1qUR9KqeeLBQ//vhjuo1AIAC/34/58+dj9uzZVNRfddVVdDDejz/+iMbGRt5rk0JpQdSnxu/3dzoyedFFF532rjc9RbZFPdB5gS4IegGB9AiiXiArRKNRHD9+nP776aefBnAqK0+GSJGJpISmpiYcPXqU5r5JsWX8iYMMfXG73TCbzWhqakK/fv2g0+mo6FIqlWhtbcXAgQPR2NiI2267DYWFhdDpdBgwYACdCgnE8sehUKhdp57jOF5kobW1lVeESgR6IqSY8dlnn6XbUygUyMnJQSQSSRLGqZz6RMxmM373u9+lvV8ul8NgMKQUljfffDPefffddrefCWeSUy+VSqHVaigwIG8AACAASURBVCGTyXDeeefh2WefBcMwaGxshN1uR0VFBex2Oy9+QxZh5GoTEfXkuEx06uOZMmVKRpGEdMKfLEDii4QT4zek0xPHcRg+fDg2btyINWvW4OTJk7z9zs/PR//+/SGXyxGNRlFaWkojZ/ExuFAohObmZtpOszcHIp1JkEx9ZxgyZAjMZnMP7dHpJduiXiaTtTtrJBWkM5WAgEAygqgX6DY7d+6E2+2G3W6nw4lIVCVeOOt0OhgMBjAMQ4W9zWZDY2MjOI7D7NmzMWbMGGi1WnoilUgkeOihh/DZZ59h69atUCgUqKurQ0lJCR12RHpDt7a2YujQoWhsbEQoFEJ+fj70ej2N6vTr1w9ATNSHw+GU2Xki6IPBIC+2QaaMEuKLL+Mh7v7u3bupo1RSUgKxWJyyKDaVU99Z5HI5dDpdSvGhVCqT8vFd4UwT9TqdDnK5HFVVVTh58iT+9Kc/obm5GVarFQaDAU6nkxe/8Xg8EIvFVBxzHAeJRAKr1QqTyQSJRNJjWWKSqW9sbKQCnNSPxMdviPgZOXIktmzZgvr6evzxj38EAHqsJtZXxP/OWJal37tjx47h//7v/wDE6icSi6YFYnAcd9oHSPUlsi3qSSF7Z2jvKqmAwLmOIOoFug3Jn0ejUQQCAbjdbup8chxHoyMGg4GK+oULF9KYDMm3y+VyVFZW8lotEifearXir3/9KxQKBex2O7RaLbRaLVpbW2EymWgBbUlJCY0uhEIhXHvttXRbJFpCtpnqZELab3IcR4VSJBKhIn79+vX46quvqFPvdDp5Q6+cTicMBgMdWgQAV1xxBYDUnW7aK5TNFJlMhtzc3B5tS3imxW+0Wi2kUilMJhPmzJmDr776Cg6HAzabjQ4TIvEbiUSCN954A5FIJMmpb2pqQn5+frtOfXchov6CCy6gES+LxYLi4uKk+A0Qc+N3795NrwoBp5x6IkDJMU/2mSxY4hcxra2tEIlEyMvLa3cCcF+nJ+MY6a7Inatku1C2K069IOoFBNIjiHqBbuN0OtHQ0ECnjXo8HhpdCYVC+NOf/gQAuP3226HT6cAwDOrr67FhwwbcddddAGInz3jRSJzGmTNnYty4caipqUFubi6kUikVyzqdjk43VSqV1OkkJ3mHw4EbbriBdid55plneAI8XaaeOPVkYTJ+/HgolUr4/X6sW7cO27ZtQzQahUgkwrvvvovq6mr6fL/fT/uUk89g9uzZAE7FLOJJzGp3BZFIhMWLF/MGdWWbxK49fRmZTIYJEyagpKQEQMyJJgs0q9UKuVxOW4UyDAOlUkmvsBBxTCbKOp1OGI3GXnHqr7vuOowdOxYsy8Jut2PQoEE8UR8KhagIb2lpwfnnn58k6snxRUQ92WetVgun08kT9Y2NjVAoFHjyySd75H31BpFIhPaO7y7//Oc/kxb66a7Inatkc/gUIDj1AgLZRhD1At3G5/OhqakJeXl58Hq98Hq98Pl81IGXyWRYtWoVpk2bRrvGtLa24tixYxg8eDCA5JMnEfUFBQUYPXo0jh8/DqPRCIvFggkTJgCI9UVXKBQ0flNfX4+8vDwaqyHbVqvVVNiTzjrpTiZE1IdCIV78hgh8l8vFa0nIMAxvcRAMBmnrO6/Xy+v0Q8RbPNlw6gGkHXiULXJycrBw4cIefY1sceWVV+Kee+6hU1Lji0GJqM/Ly0O/fv3AsizUajVdKJLe7mRwk1gsptGjnnTq4499iUSCiooKPPTQQzAajQBOZeqj0SiMRiNyc3MxefJkenWBHKvk+CJxGtJdRKvV0k5T//rXv+B2u1FfXw+FQoH+/fv3yPvqDY4dO9apx1dXV6OmpiblfT/99FNSi1NB1PPJ9vCprjj1HMcJol5AIA1ZEfVCNfq5jdfrpV1WfD4f3G43FRteNoTVP7swfPhwKpBcLhdYlkVTUxPNeyeePInTOHToUJhMJtTU1ECv1+PRRx+lRah33nkn8vPzIZPJYDAYYLFYYDaboVKpMHPmTDqplwyEAWKu+Zw5c/DJJ5+0WyibmKknuN1u2ilEKpXC6/XytkMKGS+77DLs2LGDusXk8Ykno0GDBuGXv/xl5z/008CZEtEgxwBBr9djyJAhmDFjBmw2G+RyOdavX4/x48eDZVlee9JAIAC5XE5FvUQigUKh6BWnnkDqIMxmM0QiEfR6PVpbW3ntNZcsWYJbb70VlZWV+Mtf/oLq6mredhLrK3Q6HWw2G1paWrB06VLU19cjHA73aL/v3jgvEIGeqTA8cuQI78paPGTh5PF4UF9fD0CI3ySS7eFTglMvIJBdui3qdTodZs2alfU2VwJ9H47jMHPmTAQCAZ6o93g8tP+1mw1jT+upbjdKpZL2f493sRNPniNHjsTNN9+MyZMno6ysDOFwmPbzjj/WiJCpqKiATCZDXl4etFotT9SR0e0AMHr0aMyePRu5ubntOvXBYJDX/Uar1SISidDYDRBbLDidTt52WJZFUVERLrjgAuzbtw/nn39+0r7Go9VqUVZWluEnLtAVcnJyUF5ejmnTpsHj8dDfgUQioaKexFcCgQBkMhnN2kulUigUCowaNSplO8pskHhcKBQK6tADsYXfgQMH4PP56HE9fvx4ALFju66uDhaLBXq9ni6MUx1nDoeDxoyqq6sxYMAAKl6zzfDhw/H888/zZjv0BMFgkBY+x/PWW28l3QaAXu1IBcMwCIfDOHDgANatWwcgJiAFp/4U2c7Ux8+CyBThdyIgkJ5uL3e1Wq0wYjxD5s+fn7T4ueqqq6ijfCZx6NAh3H777fTn1tZWjBw5kop6IvADwRDCcedQEpMBQOMRQLJTP2zYMNqzfty4cVi+fHnK/SDRBalUiunTp0Ov10On0/FcZRK/iSedQ0RaUHIcxxMkGo0GeXl5aGxspK6uSqVCQ0MDr4sOeR9SqRRtbW28wTWpMvUCPU9RUREuvPBCGsMhvwOxWAyGYaDVasEwDEQiEViWpdOJ4536nlx4JR4XSqWSJ+pHjRqFcDgMt9vN+84AsasQ27dvh1QqhdFoTOsqk0Wpw+GA0WhEXV0dJk2ahC1btvTIe7rnnnuwZ88ePP744/jlL3+JmTNn9siVjmAwiPz8fDidTl4byaamJvh8vqTOT9FolFdXs379eowbNw5msxmBQIC2Da2rq6PbF76zp+iJ7jdCoayAQPYQvhm9yPLlyzvd87ivEn9ilMlksFgsKCoqgtvtBsMwyMvLg8fjQYALIxQ9dbmWtJ7Mzc2lOXCxWAyWZdP2yhaJRHSATiJkcA8ALFq0CABoj3JCKlGf7hIyx3G0b7fFYqEnHK1WizvvvBMXX3wxNm/eDCAm6l0uV1KmnsQ1LBaLIOr7AAaDAdOnT6eLNFJ8So67/Px82oUJiB3Pq1evxvTp06mo70lSOfXxYnT48OHYvn07Zs2alfT3w2QyweVyQSqVorKyMu3xRSJjTqcT/fr1w8GDBzF37lzce++9PfCOYowePRovv/wy1q1bh//5n//BnDlzsn61I17Ux5NuDkVij/OjR49iwIABMJvN1KnnOA61tbV0+0L85hR9QdT/9NNPZ52o//sPJ3HLmBKoZD0T8UtHOBKFWNT1yb4CfY+sZ2bC4TC+//57/POf/8Qrr7yCDRs20PtsNhtqa2t5glDgzIQUjgJA07DfwGKxoKysDA6HAwzDoLi4OFaYx3KI4NQfDLVajZ07d2LkyJFU1CuVSl4sojPEi3pCqvhNJhM/gZhTr9VqwXEcysrK0NbWBolEAp1Oh9zcXFRUVPCcejI9dv369QBOOfU6nS5J1KdqaSnQe5Di0USnXqlU8iIZarWatiSVSqU9XktQXFzMmyJ82WWXoaKigvcYqVSacrrpZZddBiDm2CsUCt7xdeutt9J/63Q6SCQSOBwOlJSUoLy8HBqNhndFoCeQSCS44YYbsGTJEnz66ad49tlnYbfbs7b9YDAIs9lMh3URIpFISrEYiUSSOmCRn0nRO8dxaG5uBsuyQqFsAtnuftOVQtnnn3/+rBP1G6utcAbS1xZEo1HsbkiOk3WXV7bVYmtN9r6PAqefrH4z9u/fj+XLl9MhRCKRCOFwmBYC7t27FytWrMDChQsxceLEbL60QC9D8ub9+/eHLa8cUcRiDj/88AOdZLlgwQKgqAq5511BnzdmzBi8/PLL8Pl8tNOEQqGAx+Pp0skzXU49HrVaTQdPdYTX60VOTg44joPRaITD4UBRUREqKysBgLZBJNt1u92wWq04cuQIrrzyShrfMBqNCAaDgqjvQ0gkEmi12qRMfbxQjkQiKC0tRf/+/eH3+2mmvich+XjC2LFjUz4ulagfMGAAXnnlFSxfvhxyuZz3XXj44Yfpv7VaLfR6PZxOJyoqKngdnHqDnJwcPPHEE/j555/x9NNPY+LEibj++uu7Lc7IpOpEVz4cDqcUi4mZ+nA4TEV9IBDAhg0bYDKZUFJSgpMnTwrDpxIYM2ZM1jP1XSmUPduaczChMNjQqRqzcCSKaDQKqSS2gOLCUTz5nyP4YvYvsvq63mAIbjb9oqrG5oOXDWNkcfsTp78+2oZdDS48NmVgVvevr9DqYXHQ4sFlA/v+pOisLbnr6uqwePFiuFwuzJgxA4899ljSF++iiy6CQqHAd999l62XFehlXC4XVq1aBa/Xi4KCApjNZqgNRkRFYiqCGYZBaWkpACAYAYJxoXqxWIzKykqMGDGCihelUom9e/dmTdQnFjXK5XI8+uijGW3vxIkTGDBgAILBIIxGI44ePYqKigpcffXVAEAHFwExdzQajcLr9SIQCGDr1q04ceIEZDIZdUCF+E3fwmAw8Jx6UihLIMXbarUafr+/V+I3mRIKhVLG98jU5DvvvJN3vMWj0+mg0+ng8XhQVlaGRx55pKd3NyVDhw7FihUroNFo8OCDD2LXrl3d2h7HcfTKWjzpRH18pp5hGNq+lvz8r3/9C36/H4MHD0Ztba2QqU+guLgYBQUFWdteV5x6gH+l+GyA4SI8Uf/ZwRa8vauB/uznYqKf4cL47GBLt17rrR9P8l7XH0yfnNjV4MK22o6d/Oc2VmPd/uZu7Vdfptrqwxc/W073bmRE1kT9mjVrwHEcnn76acyePTulE69UKlFaWpq2T7DA6aeurg5r166lPydeKv/3v/+NV155BT6fD6WlpTGXLCrGpm+3QqfT0Uw9EfUimQLBuD9WqQgEAti1a1eXLuumcr8rKiowcGBmjsGhQ4d4PweDQWi1WrAsC6PRiCVLlvC64MRnQEkNgNfrhd/vx9KlS/HBBx9AoVDAYDBALBbzBKMg6k8/OTk5vCmr8aJeKpVSwafRaODz+VIuGk8XEokkpajXaDQwGAwYOnRo2u+QTqejOX21Wn1aM7RisRgzZszAH//4R2zevBlPPvkkLJaunTCJU58oDF0hMa+AnRAOh/H555/jxx9/xLvvvouDBw/SBUAoFALLsvB6vRg0aBBqa2uFosweprNOPTEKzzpRn+DUOwIcvOwpsR3gwgiGIzjpDPDEfiKtHha+dpx3ALj7/b1xr9u+qPeyIQS4juPS/mAYNbbkFtBnC75gCHZ/7DhtdjMdPPr0kjVRf+DAAQwePBijRo1q93F5eXlZzVQKdJ5tNTbsbUrdas5ut+P4iXq0emJu9BVXXMG7/+TJkygrK8NXX31FRT0TCoMNgwqKQCCAkpIS6PV6SOQKBMPti3rSDae4uLjT76Wroov7//v06quv0ttIy0Cz2QybzcbroZ8KIuo9Hg/8fj91sGQyGSQSCfLz83mCIFX+X6B3iZ8JQI7XeFFPREO8U99X+vOnE/UmkwkjRoxo97nxdSaZ1pf0NDqdDo888gh++9vfYunSpVi1alVKId4eezxyfO/Vggnyv6OvRyag1skmPT4SidBFOMdxNEdPInUsy8Lj8eC8886jHXCEIsKeo7NOPblKGm+0nA2wIb5T72ZCYEKnxLQ/GEYwFEGrh6XiEgAc/iCOW099Fn/+9ji+rramfZ3E9AQbisDfjmj3BcO8/UhHgIvA6gsilHCuZ7gw5n9yEAdbPB1uo6/y+nd1sPs52P2xv02/WbXzNO9R+2RN1Pv9fphMpg4fx3Ecrz+5QO+zt8mNI62p/ygyDIP/x955x8lV1+v/faadqbs722s2jVQSSCAklICCgIJSNKAgUq6KCooK/CxcFbGBFxXRS7uAQQUVIkiVSJMSAiQhpPeyJdt3dnbq6Wd+f5w5Z2eyu8kmBMz18rxeeSWZembmlOf7fJ7P89mUgN8VlOgKkU6nkWWZDRs2OKRe0qyyoA1N0xBFkRtuuAHBK5LVDNZ3JUd8PYCGhgZuuukmp3G2P63wp9WjqxGFOFhSf+Ef3iYHRQOmLrjgAqZPn05dXR2SJDn7894XdcMwcLvdw5R628tvb8/eMYgfKPX/elxyySXOv/cm9YVeYZvUvx+e+rHC4/GMaK8Jh8Ncdtll+33u1VdfDXDY7YOTJ0/mtttuo76+nq9//esHZM9slX3ctcPDUx1DtyVli/RI6hBZXLVqFY899himaaJpGsuWLWPnzp3OwCmb1Muy7MzZsGcXfID3Dgeq1NsK/eGq1Jtmjhe39R3w82TdRCkgzylFR9KGeJJtv+nLqMQyQwvfFW2DPLK20/n/W22DIzbcfv/ZLWzoSnLn6y0ADvmWdWNUpX57X5onN3YjayZff3zDiI95YEU7qm46ar5csDDJ5XIs+v0qbnt1F6/uigGWyv239V3O+4+lCvCvxgvb+uhKygxIGrlcjg3dycO6p+OQkfpoNMqePfsnYq2trcOylj/A+4usZq2+f/XKTue2x9d3kVF0JEliUNKKTij2BQ8shaS2thaApqamPKk3nIPTPkkLgkAgEMDl87OtL8OPn982oiftlZ39XHTV9UVZ/S9u7+ezD70zps9ysKQ+llXRcBcpPr29vcyZM8fZP8ePH8/5558/rPxuJ2KUlJTg8XhIpVLEYjEikQiBQMDZnp///OfDtvVwI1T/l2GTeJvUF1pXQqEQ2WwWn8932NgvRlPqx4oZM2Zw+umnjxod+27wZmv8XT1fEATOOOMMfvnLX7J69Wq+853v0NHRsd/niWa+2Z4hAm+TlKSs0d/fzzPPPMPLL7+MJElOKs727dudhJtCUm+aptO0/4FC/97jQCMtM5kMp512Gt/5znfew606eMQljdtf2z2mx+qG6ZBDWTP2qdTb9pvetEIsq2KY1vOymkE6b7fRDZP1XUkeXtPJrliGX72yk558xf3VXTE+fv8Kvvo3i5y3DUr59x1S6jsSElNufsl5z809aV7Y3s/WvjS/GeUzXfHwGmJZ1bn+K7rJH1a1O//uSSvURERnO9riEi9u78f7rWcAOH/xyjF9V/9KZDUjr9Rbf9KKUWSNOtxwyEj9nDlzaGtr44033hj1MS+88AJ9fX3MmzfvUL3tBzgIZFUDWTN5fMNQw80ja7tojUvIssyOtk42btvh3FeYAZ3L5SgvL+fXv/41xx57LCeffDKybjor9NraWscfGwwGcXlFDDPH5p40Nz23jZ++sK1oW5btHmBLb7HqkpB1xno9PdhEGVkzUXEXKfULFy5k9uzZNDQ00NDQgCAIRKPRYaTOzq4uKSkhHA6TTqfJZDLU1NQQiUQcUm9ng9sIhUKjNjJ+gPcfNom3iXKhUv+Rj3yEX/7yl/9y/3kh3i2pB7j55psP6SCtXbEMGUXn+89uOSSvFwwG+epXv8pXvvIVbrvtNu65554iUWFvSEaOr8yOFIkQtt0vrRjcf//93HjjjWzatAnDMByl3p4araoqiUSCe++91zlu0+k0Ho+naNLwB3hvcKBKfSaTYfLkyYftFO5BSdtnmkwhbn5pB+90WDZYRTdRCqwrKUWnZUByyHBWNVCNHL1pFdXI4fl/T5OSdTKqQTq/iN3Yk2JuQynPbunlpe39XPfkJjZ2p3hkTSf9GZXW+NC+POlnL6EbpqPUq7rJ3ctb2V5g5UmrOrkc/HNHbJ+fI63ozsJA1g0u+/Ma2uMSaUUnKeuMKwvQln9vWTcc1V7SDDb3pjHNw1f1BsuCFMuqDGRVOhLWuSguHZhN8P3EISP1F154IX6/n1tvvZUHH3yQ7du3A5YHrrW1lYcffpi77rqLSCTCeeedd6je9gOMAWfd+xZrOhL8NV+my2oGWc0gXujNk1T6MgpvdckkVZM1GzY599lDe3bt2kUmkyFUVs4mxWq8m330HAwz55D6mpoaurqsLvhAIIDgsS6U/RmVle2D/OLl4ibpWEYrKtlZ26JR5h8bUT9Yn7qsG6h4HFJvmqZD3srLy3niiScARlRqdV3H5/Ph9/u54oornFJwQ0NDUWTi3rj88svH3MD7Ad577K3UF5L6yspK5s+fz1e/+tV/ybaNBI/Hc9gNr7v8L2voTatk9tFsdzBobm7m1ltvZdq0aXzzm9/kn//854glb8mA+tIAWX3oPtXI4ctppBWdtWvXMm7cOCflZu+mWEVRiMfjrFmzxllw2zMzqqqq6Os7cCvFBxg7DtRTn8lkDrtjoBAJWXPsX/tDUtZJyPnkpbynvi2e5fXdAyRlnUfXdfHc1l7Att8YdCcVmqPW+UrJE3JbqV/TkeTUI6zIxddbrMrZtr40T2zopj9v2ZnXVMY3TrZmYKzvSjme+v6MysNrhmw8YC0swLp2uwSGkW+tYPFsK/U2eb/8L2vIqAYJWac67HPeX9JMetPWvwcljVhGJb6PfP73CllVZ9MYff4Z1SCW0dCMHJ1JmbKA91+yzWPFISP11dXV/OAHPyAcDvPII49w/fXXIwgCr7/+Otdccw0PPfQQwWCQ733ve+/5wJMPUIxnt/SyqSflqAJZ1SCZX+XbGMhqXPXoeu7d5SZZPhmPf0hRtpX6p556itWrV/PpK77M0nbrwJS1Ym/ckUceWTSciTypj+WbTEr8xQR5oKB0BxDLWCviaHD/pN40cyQFy+5S+f2lw5p09gVZM1HwOKPh954c+fSmHlKyjiiKw0i9PeRHEAQWLlzokPqqqirC4TBdGZ1leTUil8sd1v67/8uwF3Ej2W9sTJs27X3dpn1hf0p9WzzLPW+0vC/bkpQ1tvSk6Ekp9KQVMqqV/96XHt6cerAQBIFTTjmF2267jR07dnD99dc7zas2NDzUlfhJa0NNgKpuIuashYY9XGy1fzpp1SCtW4tyVVUd6002myUejzukPp1O4/V6qaiooLOzc+/N+gCHEAdqv+nv7x9T796/CgnZUqf3h809KToSMhnVoCelOPab7y/dyjef2EhS0VENi3Bv6EqyvS+DauRoH5Q4cXw5YC1eM6rukOr2QYkjKkMEvC5e3tlPczRAR0Kmv4A4uwQI+azr2ZrOhBNpOShp9GWK1eeUPHRdrivxk1aLP1dnXrVOKhbhBdiQJ8odCYkvLllLUtZwCQL2FVDKLyDqSkTWdiadz/9+4+E1ncy89eUxPTarGgxkVSKih56UwuTKYJEgerjhkJpFZ86cyd13383zzz/PmjVr6O3txTRNKisrOeqoo/joRz86bDDQ/yVce+21w4jD2WefXeQnf6/QlVSc1XJWM0jIGpmCg3Qgq7GjP0PAJSBFJ+Jx92OaJm63m61btzJ//nzicWv1r+TcThnKaZApIPUNDQ1A3tbg8RHwupzyeIlYvMvFssX+/eue3MhbbYM0lI6cOPL4+i7Om2VN3+xMyqwNTCMSiRDLaqRVg7LA2Napsm6gu3yoqoqu6zzwwANFpP5v67uojYgjKvWiKDqP9Xq9jtrf2NhISUkJv3u7m8c29LDzhtN4YGU7ZQEv58+q4/8CVN3k6sfWc++F+07BOhywL0/9+wF7QN9YYVtCRkNfWmVb36FPBTHNHC6XtZ1/39zDExu6aY4GueWlHZT6PfSmFNKqTldS4fqnNvGnS+Ye0vf3+/188YtfpLOzk9/+9rfU1tbyhS98gVAohIqb2hI/LyVL+eYTGzklt50Jx52KaKr0SAbdwSaatG7a/U28NWhi5HCmxg4KQQy3D0mSyGazjqXD9tQ3NTVx+eWXH9LP8gGKcaBKfU9PD0cfffR7uEXvDoOS5ijc+8Kj67pY3jLA/HFl/H5lO4phKfWr2gf58ORKtuYtqVnV4JtPbOSF7f2UBbyYuRw///h02gclR2VPqzqLfr+Kv2/u5a2vn0R9iZ/KkI/6Uj+dSZndA1maygLsimUJix7CPjfTqsN0JGR0M0dWM2iNZ50GW9PM8bk/vcOkyiEBoaHUT0LSKSmooMcljaqwj1hGY0pVCEEQnO3uTats68+Qy4FmmnjsZDzNwDBzNJYGOPu+twDoTinMqC22qr7XGJQ0RI+LhKRRGti3gJhRdQbyn7UjITOpIrTP6b//ahzyq1gwGOTcc8/lxhtv5I477uCuu+7ixz/+MYsWLfo/TegBfvWrX3HnnXcW/XmvCb2dEd+VlJ2VeFY1SEh6UZRVVjXwuV1M9ed9dx4RTdOYuPDjPPmWleWeSCTIIfDM5p4iUh/yuR1i7vF4eOKJJ/j205ssAuLyFJ0I9lbqY5lipb4jIaMZJmV+L198ZO0wlfuXrwzZd7KaQeO48fj8FtFJHMCBJusm+Kzn6brOs88+W0TqU4rOnkHJUeUL4ff7ndvsv++77z4mTZrEjTfeSEYzncVLy4BUlFZwuEAzTB5dd+hVyEFJc0qwhzv29tS/3w2xn/uT1QyujbHCFAqF9jnNUzWKY/EOFb786Dr68wp8LKPyP2+2sbxlgJMnlpNRDXrzSn1vWqEnpbC9L/2eVAzq6+u5+eabmT9/Ptdffz1Lly5Fw01DmXUcP7etj7tfXMeVS9bhy6m0pHJ0hidY0ZXuAHtkD2ldcKw4HSVTyIZrSWWyZEM1w5T6D3/4w3zpS1/iD6vaDyrR5APsH/X19Y7VcX+488476e7uPqTDrw41ElKxUj9aZnxG7SpyagAAIABJREFUtZovW+JZYlnVGT4lCAJul4A3P0k2qxnMbbSmP6cVHdHjwut2MaE8iKIblqde0VnZblXTK4I+Tp5Yway6EuY2lNKRkNnen+ETM2q49pSJhHxuQj4Ps+oidCRk/F4Xm3pSnHXfCmfbYlmVP73TQV9aJSxa55uGUj+JvWxFcUmjqSxAX0bhmMYyLp7TQPugTFOZn7ikYV+6k7KOgCVi2DyhscyPmYNowEtfWuE//rKm6LVjGfU9rXAnZB1FN/n1qyPPTCok7Zm8Ul8V8rEnIXFsYxkB76Gbqnyo8f5KUx/gfUdnflBC54hKvUFS1jDNHI1lfq5ZOIGT/NbFS8tZKS8JTym5iibHJ79k6cv86PltdKcUx0sfDXiRNIMvPmINtTDNHP/1z52ogpdZc48lkie4NRHR+beNve03g7LGyROt8uo7HYmi+0yzuLyfUfIDOfIkcqQGpSVrO9nSM9w7J2smpneI1Pf29haR95Si05GQR1Tq/X6/swCw77OzzKPRKElZd1b/exISPWnlgKxB7wd6Ugp/fufQkfq/vNPBa7tiJGQNaQy5xgeLhKRx1aPrDslr2aTe/u0ORqnf1pd2kigOFMtb4qQVnQt+P7bc4+nTp+/zfkU3UQ2TlKyzoi3OExu6WbL23f/G/RmVlDI8sm5GTYSsZrC9P4OZy/Hx+1fQm1ZYuqWPjd3vXeTgggUL+M1vfkNvby+yqlMVtn6/iqCPda5Gtval8RkKcRUkdwjFMNHcIu2Kl7QhYJomqqqi4cJwi/RmDXob5zuk3jCMogX+M5t6Wbyy/V1vdyyjsqZj5Pkg/1fR2NjopKntD2vXrqWzs/OwTs9LyJYCvL4ryZ5BifANz5ItqIjbdsyMapBSdFrjVjOsz+NC0c18VdvAJYDP7SKrDqXiGLkc5UFrv/R5XKhGjqxq0DYoURWybi/1e/jdZ47mu6dN5uzpNc71f0ZNhPHRICGfh5DPzcyaCN0pBbcgsLZzKG46GvDywjYr5747pXDekbX4PS4aSwPDbEUDWZWmUj+9aZWA14XocdE+KDGxojgMojzoozTgISEPDbJqLLWuvfWlfhKyziNrO4s8+9c9uZGu5Htny7FJ+0icQTNMjv/NMmdRkc176qvCIu2DMp+aXceZ06rfs217t/iA1P+boy+t4nO76ErKvLZrgKc2diNplocul4Mz/+ctkorOlKoQt35iBtXmIBfNKEPIp0QYbh+1TRNYuXIl26nizbY4mpGjvkRk9R6LdEeDXv6wag/3vWVl29te/Rd3xMi5RSry/vgHL56D2yUgawZXP7qegayKIAhFxL024ue+vHUjli1uwLNOhIX/153mlWjAO6KXcV1n0onvKoSZy2F6rPxxSZLQNA2fz4dp5nhgRTspWacjOTKpL1Tv7b8LbREJWac0X5HYMyjzi5d38dRhNmI6llX3OUnwQNGVtLybCVk/pK+7N+KSRsvAoakE2Kq3rdQfDKmfess/eXvP4H4fpxkm/9xRPBSmL6PQlZTZPcbPc/311+/zfnuAzRutA8y/fRkJWSMhafSlFaeZ7kBgVxBS8lBVb1DSOLaplIZSPydOKCca8LKyfZDjmsroSMj0phVe2RUb08CadwOv18ull17KnDlzCPl9iOhMrw5TLXVimDm8Nqn3BMmY1jHao3lZkY7QXzsH2QDD5cX0iJawIXiKKsn2cb1sV4yUMtTQOFaMlOixvivJY+u73sWn/veEIAhjml2jqqqTTHSgUHRjzBWxd4PBvHp9yh3LOea2VykLeIllhlTfP6zaw9839zrW19a4RGdSodTvIaPqREQP3UmFEr+XgNdFVrPI/8kTyykPeJ1Kt5hfBGRUg5YBiSsXNAM4YtLEihB1JaLje59WHSYsugmLbkI+N9UR0fk+Yj8+k4UTLZ9+TUTkxy9s44Kj6uhOKdz1qdn4vW4a80r9rliGlKzTk1JY9Pu3aSoL0JtSCHjdQ6S+vLjv54wpVdRF/HQmZKcH79imUk4cH6UmLNI+KJFRDcb95AXeykfjWrbcQ38O2RXLoBumczyPxBliGZUtvWl++sJ2+tIKsm6SUnQqQz72DEqUj6Hf71+Jgyb12Wz2gKf/7Q1VVYsiBT/AocegpNFQ6ndGG69oG0TShnbqtZ0JBrKqowBIksTt50zDzOVJvctDtLaeVatWsVuo4OWdVgPotadM4s7lLbTFJWojIhlV56zp1RhmjqSi8ZEjKvnnjn6SikZlXkUI+dy8tL2f/17WwpJ1nTy1sYeL5jQ4JbmkrBH0uh3/bn9GLcqDTat6UR9AVjPY3JPi5DuWM7ky5FQdCpFS9GHJHIaZoyzgRXdbpD6ZtJQKn89HWtX58zsdGDnoTiojNsr6/X4e6Ynwx1XtBINB7r777qKItaSsORWJrpTMoKS9K9VhtItRLpfjir3KlmPFQFbb5yTBA4Wim8iaSUI6dK973ZMbh92WVvRDljwgCAKCIDh2qn1ZW/YF24q2L/SkFO57c2igm6xZWcftgzI9ozSXtgxkueXF7aO+pmnm+F5BlKSim6gFY99tkv+n1R1OjNy+8JW/FldAptzyEk9u6CatDg2oiUsaH5tWzVH1pZx7ZC2nTq6k1O8lnN/fB7Ia7YPSez5Upi+t8KPntuF2Cfh8PsoFmSvmNVAX34zP7cJnSMQ1F5IrgCR4cRkqJYKGnHPROvUcWmvnY7o8GG6RlKKTc7mLImftfeHGf1jvMVasaIuzoz/Dp//49rD7bIL2AYohiuKYuISiKPuMN90XHnq7Y8Q5KYcChWEICVmnqSzAxIogp0yq4IKj6pwKOcDrLQO0xiXnutYyYHnZS/1e2gYlJpQH2dqXpjkawO9159NtDJZeuYBTj7CONcir+NqQgHLh0fUEfW7HtgMQDXqJ5Rs6Z9SECYuWSn/mtGoumF2HxyWgGiblQR/jo0E8LoGaiEhXUmFyZYjetELI5ybgdVETEUmrBotXtPPSjn5nP24qC+SVejd+j4uOpOyk8wA8/Llj+OpJ4xkXDXDkL16mK2X9fvPHRfnyCeOpjYi0xiWmVIUwc1YjMFiTcvdOxdsbo10X/99Tm0a8Hawozyc39jgJRSMdj7GsxoLmKN9fupW7lrc6t5f4PXSllGEW4sMNB03qL7roIu6+++539eZ33nknF1100bt6jQ8wOgYljcfWd1mkPqWw/Gsn8uTGHpbtHnD8cZJm0pVUKM+v8GVZJhKJYJomiqKgC14Ml49kMklSCLKhK4VLgDkNJRhmjl+/tou/fO4YnvvSAqpCPqtRSNY5uqGUtriErJlERA8R0UPQ50bWTVriWfrSKhu6UxxdX+IQgKc39XDGVKu0qhomacXgqseGiEZ6L4KeUQ0G84uTyZUh1nQmOW+vYRZpxSh6jm5Yk/uqwz50l/WZk8kkmUg9Xq+XhKSTUiylPSFro6bftMoe/r65F0EQOPbYY4saHgVBcPyEosc6xOxF1YGiIyHhyw/quP+tNufisbJtkD+s2sMDB2kLiGWGlPqxeheTssYja0a2c9gEsrDE+m7x+u6BYbelFJ149tD1KPj9ficWdX+k/rmtvcPGnQe8rqL859Fgx8iu70pimjl60wpBn5uLH1o96ve1sz/D7oHhosfTm3p4szXOL1/Z6ShbkPfUG0PDZBKS7jTg7e83yeVy3P1Ga9FtA1mNrX3p/MLYOs4GJY0vzm/my8dbymDQ56Yy5COcT9TweVx8dGq1o8gdamzsTnHlkrV86a/rOGF8lMcuPxav18tCYTfHNJTgyg5aqqEuIZsCbkwSnjL8chxjYA9u3ToO3Uoa0+3F8IikFIOcy1LqZ86cSTZcy0OrrcFXsazKgUwpeLM1zvqu5IgLNUkzihJFPoAFURTHRNbttKLRIGvGqHazjGq8J/0mAL9b0c55i1dy5ZK1LG8ZYFw0QF9G5eHPHcOMmoiT/AaWpbQ/ozrH00CedIdFN9v7MkysCNIWl2go9VMietjRn6UzKeP3uPC5XUVK/YfufIP2hMT660+hrsRfRKatx1iE/Ikr5lEZFh0/fVnAS2VYZHZ9Ccvz0ZdnTa9mZm2E2ohI0Gup+RnVQBAEKoI+wqKbX7+6i79t6GZnLOOQ4smVIdZ2JqgK+xA9LnI5q1pQEfRSExEpD1opcePKAuRyVuXa4xII+dycPb2aS49tpDWe5coFzfz+M3Mcu1Bc0oqm1I8E+7q4N17bh4Dhc1vVBD0v/o2k1PdnFM6dWcP3Tz+CG/+x1bk96HUfcLjBvwIHTeo/iOo7/GGYOe55s5WGUj9JWac5GmRdl6VKF5aTV7YPOkp9LpdzbChn/HELPYaflKIjyzJJAmzsSXFEZYiI6GHxZ47m71+YT3nQR9DnoSLkI5ZVSSo6JX4POSCHdQKqDPkI5ptLbGL0TkeCqdVhh3A8s6mX8460/JX2iXDplr6iPFzdzKHqJrph5odoWc+dXBnkhr9v4fltfcPGbdsn0D+saueoX76CrJvUREQ0wSL1iUSC9kln4vH6uObxDaRVHZ/b8iyO5qmvEAU6RiHqAa8LSTdIyTr1JZbf11bq41l1TMM21nRYFRQ7OiuXy/GFR9aSUa0y8jsdCW56zhrk9Uh+guBYEcuoXPTgarKaQctAlm8/vXlMz+tMyDw/SsOgkh9kkpC1Q2a/6U0Pb5ZKFSj1O/oz3L285V0NL7EXbX6/f7/2m4sfXM3jG4rtE83RIK3x/VcbM4qldt/03DYufmg15y1eycVzGpxBcCOhIyk7il5PSnF6QzZ1p9jUnWLxyvaiqkihUl8V9jEgqY7PXtoPybazo22kFZ3avGqXUgrtNzrRoNeppoXypD4kuqkrEVn+tRP54ZlTDimByuVyPLe1l/MXr+S3y3bzzZMn8tjl8/jIlCoEQcDj8VCv92GaJrIsE/C6EAyFoMukRo8RDzXgk+K40/2UxK3GuIGaWaRLx2O4/WRUA1OwlHqfKPKdH//caTzsTSsHpNTLmmlNAx3h+86qHyj1I0EURRRl/5VMRVH2ObyvMylz4R+GV0jAWlBph3DIUaG40T4osa4rybLdA6zpTNJY6iet6HlC7HWCEjTDqmbatlKv29qvvnR8M985dTLrupJMrQrjdglUhnx8aHIFL+3oZ9nuAQRBsEh9viLmyyvym7pTHFlnTYg+awSfdzTgc5o6owEv0YKkl6tOGM9vzjsSgM/MaWBiRZCaiEg06CXss1JyAKrCPkI+Dy0DElt60+zszzr84dimUrxuFx+fUeNsU9jnpr7Uz1dPHM+8pjIAxuUXHJ1JmfKgVdmLBn1MqAjSEpeoDPmoKxGHrpPSvu03hef8rKrz59VD06dHum7YaCrz0zYokcuB1y0MOx5NM0cso1ETEfnKCeP55Kxabj9vJmAJGNVhcdRtOlzwruoImzZt4vbbb39Xzz9QrF+/nhtuuGHE++xhJYXYuHEjS5YsYcuWLWiaRkVFBaeeeiqf+cxnih4nSRIPPvggy5YtI5VK0djYyKJFizj55JMP6nGHA8qDXnxuF435eEjbBvPnS+Zy5RJLAT9nZg23vLSDX3xihvM8l8tFG+XMdMM6Ochxio4iqRAWSMo6H51aTUT04HYJuF3uovfb2Z9BM3KUiB6qQj629mWY01BCfYlIMH+S2NqXpjYisqU3TVOZ3yEccUmjIr+NsmZSFvAyKGkMShoVQZ9zAH75r+tYvLKdzx83zpmmZyuFsm6yZG0XlxzTCBTbb17Y1k+p34usmVSHRXbGrO1JpVKoYilx08Xjm7oZXz6keIiiCG4vXUmZuhI/D7/TgSiKGLiIjNIB73W50I0cHQkrNzga8NKfsU5WP3p+G1+Y38zMvSK8dvZnmFQ5dMF6bH0XH5pUiSdPKOws30seWg3AguYouweynDA+yqf/+DaPXnbssAal0fDoui50M0dC0tg9kGXZCIr4SEirxqheaVupL5wu/G6RVq3ycqiguTqtGMQla8DL71a0ces/d/Loui6e//LxB/UeNpk/7bTT2LBhwz4fG8tqziLNRmHyU1LWipKebCQkjcv/soZIPkniuW19TK4McVR9CaLHxR2vtxTFRtroSMhs7Enx+5XtlAe9bOvLMK0mwqCskVZ1BrIafs/QQsT+DbKaQXVYJJax+mkMM7dfpd5eFGqGidft4qbnttEWl9iZ99BmVSuKLq3ohHxD+33Q56Yi6COXg9+cdyTTqsOHTMmSNYM/re7gz+90cPKkCv7ngtlUjXBRtd/Pri76vW4E0yDsMqg1Blhb0kRlx0oC2T5KBnYgNvfRNW4huNwYHpGsnkUrK+fm3aW4XEcyP1RGy/YOcrkcPXm/sH3uyao6Aa971M+oGCYJWRvxOJE0c0RSb5o5rn5sPXctmv1uvq7/tTgQUr+vSNd9aYySZqAbh47U3/1GCxceXQ9Y5+aOhEyJ6EHAus76PdYxUhnysa3POoZa4llOmlDOXctb0IwctRGR7pTC3Ytmk5J1etMqU6vDBH1uyoNe/ueCo7i3wLIneoqVeoAvzG927v/FOTOHbWc0aHnzwbpmLGgemhFUW+Ln8uOanP+HfG5qwiLRgNdZrAP8/OwZSJqVbpXL5diTkEjKOrefN5Nx0SDLvnoipQEvj6/vpsTvYdFR9SRknSNrI47Hf0pViI9Nq2ZrX5qKkM85h4R8Vjx2VdhHXYmfZ7f0cuMZU4hnhw+lLISW78G4Y9luTjuikosfWs1Fc60o7bhk5eb7PMOP0eZokD2DsvMdFir1D6xo59aXd3DVCZZdqK7Ez18vO5bXdg042/pvT+q7urqcVJSDxcFeAC699FJmzZpVdFtzc3PR/19++WVuu+02TjrpJK699lr8fj9dXV0MDAwnMT/72c/Yvn07l112GQ0NDbzyyivceuutmKbJhz70oQN+3OEAQRCoL/E7O6LP4yIiejhrejWybnDKpAp+fvZ0pv/Xy5SKxSrlbPZwzTHzueLZLosYi1VM9UtszQW59RPTne71QpT6vZx13wpOnljOZcc2MbU6zJrOJD/66DR2xVY7Qy+6kgoLJ5bz+u4B/B43sm7Ql1aoDg8lTrz0leN5bH0XX/7reuKSxu2v7eaevD1gaX7KXkdSwjBzTKkK8YUF43C7BG56bhtXLlnL/HFlvLprgHR+OAdYyQTRoBdZNyxPPW4CgQBvd2bQxAh7NOsAj2c1PG6BjoTMw7uDSNVHc/2Tm3jokrnc9Pw2fjjej4mlnPzurTZOPaKS8Xs1B2mmyfb+DE1lASZXhrCFhVhmZCV78s0vYf7i487xkFEN4pKKx2WdyNvzJ6KlWy1COLU6TMjn5rhxZSxviRcRrdFgmDlcAuweyPLNkyfyessAnQmZDd2pEUnl3kgr+qiKr03oFd10KjJjwYauJBMrggR9w09FUt6DXEjqbVK0qSfNfW+1oZu5MdlfRoMoWsfGhRdeuF+RwSUw7ELj97jY0JXkN6/t4smNPbyw1+LirdY4fq+LDd1JjqovwchBfYmf3QNZqkI+1Aprv1EMk4Cr+HvrSMhs7E6xuiPB8c3RombVtGLFrJUV+DsVw1Lls6pBTVhkIKtRHvQ5pP7Hz2/jo1OrmTeubNhna4tLuATr+y0P+tjUk8LvdeP3uIlLGq/uGuCzD73DGVOris7ZQa918b9sXtOw1zxY9KYU7lrewrLdA3x2biNPf+E4RM/+9ymb1Ac8LrwugaBLpzKXQglECSfaCKcsNa+sfzNd4z+EYOoYbh9ZPYvhL2Fb2kW1EKJtUKJlQEI1TMycVXlLKbDo96tY1T7IY5cfy9zGoe9wdyzLQFblmKYyx4I2UqXC9tRf87cN/Ob8I53bFcNkc+97lxZ0uGOspF5V1X0OX9sXCZQ00yGChwJpxUA3TDxuFz1pBc3IEctq1EZESvweJwqyORrkrPtW8PaeBCdOiHLaEZWOza0y5OOvlx0LQMTv4YKj6vLDo6yF8t7wFZB6n1tgQnmQWz6+70Ss8qDXUer3x7WCXje1EYvUh0WPs4CeN66Mt9sH0c0c5UGv1Tcna9TlBQ6buF9wVD0nTSinLODl2lMmFr+2z8NFc+q5csk6/njxHMf7H/S6McwclSEf5UEvLgFe2tG/X3HIHnb1tw3dzM8vVOJZlbKAl2R+Ue3zDK+8hnxusgXpQvb1pHUgy38+u4VJlUH+sqbTETkFQSCXH50V9LqLOMrhioMm9T/96U8P5XYcMOrr6/c57TEWi3HHHXdw5plnctVVVzm3z549XA1ZtWoVa9as4frrr+eUU05xHtfb28vixYtZuHAhbrd7zI87nFBfIlIV9nHSBKu7fUJ5kBK/F83I8bljGplWYynG2XgfUO8875TcDuqDC3ALOZZu6aUiOI1PlKqkc37GRUc+sZ44vpzL5zXx2q4YJX7Lu2efhO5ZNJuQ6OGSYxp48O0OSkQPH51Wjctl+c+39WWYWj2UPlEVFinLq562Imk3HM2sifCrc2by4+ct+8nVJ46nPOjj2lMm4nEJfOOJjcy97VXK/F4qQz7HfpPLgUsQkDWTgMeNx+MmEomwuM0PgosdGS9Bn5uErFMesAZNPLy+j6lVIbKaQkbR2daXYcbZRxLs6UUQcKb0XnJMIz6Pi/MXr0Q3cyzd0sfSLX089Nk53HTmFO7MN9zEJY3WeJZnt/TygzOmFH1/KUXn+0u3cnR9CVnVsBYXLqvSsqknhSCQHyVuxaDds2g2b7TG81Yh6wQ4Gjl/ZlMPVz+2ns/ObSAha3z31CPY0Z+hMynney5kGkZYqO29fZJmsK4zyaLfr2Lbd0917nNUYtVaMNmK7/5w+2u7+cL8cc6JuRCyZpJUdAoD79KK1YjWFpfoy1tGxjJ9eDTYpN7tduN2uzFNc9hcArAWRKV+77AUGb/Xzba+NDv6s2zvzxR9btPM8e1nNvPNkydi5qyFmmpYi9C+jEJVWGR6TYRZdZF8nF3xuaMzKVv7o6RZ/STKkAWmfVBCM3JIBRc+VTcZyGps6E5RHfbRm7bsN2Y+H/ov73TQnVRGJPW9aZUjKkMkJIvUb+lNExHdnDghyiNrO9nen0Y1zGE+14joOWQXuo3dKX796i4GsipXnTCeH5wx5YBEH7vkLnoEXC4ICTpRQYKciUcfWvi5DWu/8appdG8IWU2gYX33sVyAloEsLfGss4ANet0IWD0e3SmF/17Wwp2fmoU//3u9vWeQrX1psvmpoLJmjEhIbPvN8pYBFN3A63LhyqeBHUw60b8LxkrqZVneJ6m3bZeyZuD3unlnT4KtfWk+M6cBSTccInggMMwc97zRylUnjnduO+vet5B16ze+//UW/ra+27mv1G/NZbFFlhm1EbK3nMVFf3ybZzb1Fg1mC3jdnJi/LgM8cqlF8AMel2OHLYTlqbfOTaLH7Swc9oVowDvmTPVvnDyRjGrw6q5YkVIPOFX2aMCLxyUwkNWYVl2sWk+oCDIhL1KMdNxGgz5k3eTsGUNzBuzXrQqJCILATz82jWW7Bwh4XcPONfGsipmDipDPseQOZFWSso7f42JPQsbjcmHmrOvR7ljW2R4b9h6Qy1lKvT0ld9nuAW79xHTqS/ycevcbRVzEOQ/43NREDn+l/qA99bNmzTpkf94LPPfcc8iyzKJFi/b72DfeeINAIMBJJ51UdPtHPvIRBgYG2LZt2wE97nDCwokVfProel776okA3HbuUInOLuE1CEkEdbgvOOI2CLisnXq6e4BZUYGGkpEnvQLMaSzlvz4+nZ2xLKV+L1Orw44H0FZb/3jxXEI+NzedOZWnP38cYMVLbutLM6Wq2D4SFj343K5hnfA1EZHKkM9RaO3PIQgCtRGRUr8HRTfpSiloppUJ3BbPopkmIZ+bvoxCwOuirCxK13H/QadinVj2yC6m5Q/m2hLrdfYkJJKKzvHN5Ty9qQfDzFE/YTKBQIBowEtLXOKGZ7ewptMi949v6KbwfBbyefjY9BpcgnWBiGdVtvalWZ2PQUwWDPToSMj8aXWHMz48LmkMSCpNZQF2xjLOtqUUnfZBmUVH1fGb847knkWzUQ2TrqTMFQ+PnIazom2Q1rjEst0DJGXdWWx1JmVOmlDO7pj1+/eklFH9+WnF8n/3pRW291vRYHbSgKXUW82gFUHvmH31uweyw4aagNXQrJs5Uns1MqUUq6y7qWD2QKFP9EBhZ9QXkvqRLki9aYVJlcFhSUqix8VAViMha3Ql5SJyZvdztOSbXW1S11DqpzzooyrsY3Z9CQuao8iaQXdSZlcs4wys0Ywc0YCXhGxZyAqVeruB1rbV9KQUbn15Jxu6Uzy0uoPqiEgsqxYttuY2lrKmM0Hjj553fm8bfRmFSZUhdsYyPPj2HsZHrcX/ceOsxdaO/iwnjo8WXegBrjy+mdOnHHxueC6X4x9bhvzy154ykUcvn8dpU6oOuIprN1H6XBAUvRwjdBIRNLxKymmQBXDrFoF06QpeLUNGtD5jqU/AwGp89roEp7ndJkXjy4NUBL0sXtnOpX9+h6seXYdmmAxKGj0pleue3OQo9YWE5EtL1rK5J4WUJ++9aYW6Hz7vNHVKmjlsvxoJX3ts/QF9H4cDLn5w9X4f4/f799soOzg4iGEY+1bq8+TLFn92DWTY3p/J32egH4RS//H73+Lqgu9d1U2e3dJr9ZlpBuZenp/SgJcS0eOkQYG1/0iaSV2JSFj0oP3X2fnbR6Zftv0G4FfnzCD1s48BcOrkCiblSarPLTiV733hQEj99JoIzdEAJ00oJyx6io51e5FSHvQxLhpkQ3fqgFNg7PN04fb43C7cLoGqvDAwvSbCKztjjCsLDFsYX/GXNXwpn9Cl5hdothVzWnWYzoTsXEtOuXM5E3/2Iv/Y0jvitti9ftGAl9d2xRjIWil9M2oi1Jf4KSu4psysifCzs6ZR6vcOs18ejvhfm1N/9913c+6553LhhRfygx/8gI0bi+PvNmzYQCSycPB9AAAgAElEQVQSYc+ePVxzzTWce+65XHLJJdxxxx3DYjRbW1tpbGwcprKPHz/euf9AHjcastnsmP5o2qEbQXzz2dOLrA2nHlHp/Nv2a5+TfZ1KQcIwjKJmwZyhUyXm2PadDzM/OEg0HOD3F83Z5/vZJ4KTJpYzuTLIxXmfWyHCotVUa1+0XYLA23sSHFlbUvS4iOhhUqVVvrznjVa2fufDHF1fQnM0QFXYR0Y1CPrciAW/x9kzarjzU7O494Kj+MzR9Y6nvvknL7J0Sx/RgJetvRlqIpYysCYlknO5EcjRnskxrcoiztGAl1K/l6PqSohlNE6aUM6SdV24BMse4HEJ1Eb8bOtL05NS2NCVKtpuG7YVpSok0p9R80q95Ez3Lf3Ppc7FvTNhZb3b1YU/rNrDxu6URer7s0wp8NzHJRXRY8V/2pnFW3rTrGovzky3FY3dA1ncLoE9CZmUohMWPXjdAq1xiRPHl/Ofz24hl8vx8o5+lqwd2VKXVnXHEmNtg5WupOcTVmzyWBnyFTVw9qZGVuHSis72/gyD0nCV0j6h28NB7JSXlKJzdH0p6/MN3xfNaaAjIbN8jH0Be6Nw8JTL5cIwjBGrbXe83sIRlWE2dqeKFhouQUAzcuweyKIZuaII1gdWtiNpVtpTqd9DVjMo83uZPy5KedDrDIzxe6yS8Cd+t4LP/HE1NxTEVIZFjzMozl4ouYShoXL2bXsGpaJoTct+M0TqJc1ShnM5a/Go7OX57kurTK4McdZ9b/G5P73Dt0+dRInoYUFzlNeuPoEd/RlOn1LlNLzZCHjdeEaoyOxPE5U1g/vfauP0e95kZfsg914wm7sXzWZ6zcGPi7eVep8LwsEA5dkOvG4XPiWBp4DUuwwVwdRxmRohOUY2XEvE56Ix4sWNSWs8y9TqMJt7LEvMkJroY/t3T+VTs+tYsraLu5a3smdQJiHrdKdkdsYypBWdhKw5iv1Db++xJt2+0UpWsywBqXxfiN1sKOsW2e8bJdrUxupRBlf9afWegx6AphnmPvPb9244/OsBDjPb2pdm+e6BYYvIQoiiyGOPPbbP17H76PbVKGufM+yFbjyrOceqpJnDlPrtfWnm3/7asNfZHcvSMpBFM0yWbikOBtjca53nByU9n19u8PJVluXO53ZREfRR4vcMs0P+7Ypj+VXe8+5xu0j89KPMqiu+3tko8Q9VuL95yiRngfCx6TWOJcbncY3JcvntUyfTVDZ2IloVFvnCgmaOqAxxRsFiPeh143EJfPe0yUyqCLK6IzFskOT+MJItUxAEyoNDlY1xZQHWdaUYFw0M6wPqTavOew4p9RpJRWd6TYTOpOwcU5t70oRFt5V0Y5j8MJ9iI0BeKNEQ3S7OO7KWk+9YzqCsURbwUh0R+enHih0gTdEA3z3tCE4YH+X6D006oM/8r8D/OlIfDAY555xzuOqqq/jZz37GlVdeSX9/PzfccAOrVw+pArFYDEVRuOWWW1i4cCE/+clP+OQnP8lLL73ED3/4w6KTVSqVIhIZfjGxb0ulUgf0uNFwxRVX8OlPf3q/f5YsWXLgX8wBwuMSnK78ZDLJt771LXbv3u0oIYIgoKoqn2iEI6rCBAIBAoEA9aX7PkEIgoDy87PzwyjcXDy3cdhjwj53kbraWObn75t7hyn1x4+P8tOPTWNqVYj+jKVYv3L1Cdx05lRn8TCpIugo9WCRoIvnNnLZvCbCooeg110U+xgRPWzpTQ9bcVeLEFNwFiGlfg8XHl3PceOiuAQ4oirEP3f0M606zPb+DBUhHzURH7vyF6vPP7LWUbgLT3b2yaquROTxDV1s68uwO5Yt6tD/6QtWFvmOWAaf24Wcb3bc0J3ir+u6mFYdZtdAlilVQyXBQvIoelyoeo7tfRnaB2Uyik5/WuG+N1vxfesZTNMinYaZI+B1k8uB2yUQ9LmJZVRm1kZ4ddeAMzyqbS+PeneeQKYUHVm3SH1zNEAso9KXVulMymQ1S8XPagYVIV/RCfn8B1by+Pou7nuzeNF73ZMbaYtL3P9Wm7MvgjUwzH5+StYxzRzfeMJatLcPyiycWM66/CLqRx+dyo7+DK8dJKmfNMk6SXs8HtxuK7JspBScn76wHb/HxV/XdTlDpOzfL+B1sa0v43xHYC1YvvnkRmTNoC0ucWRtBFk3GRcN8LWFE6gM+ZymcL/HxdItfazpsHz3u2JZdMPELVjHiqXUD6U4FUamSppBLpcris0DqA77iGU1FMPIp99YSr+tkil7Ebm+jMqkiqBz/zGNZQ6xiOatAP9x3DiuWTjhoL5nG70phR/+Yyvn/G4FHpfAM184ju+dPoXKQ9CAZg8w8gg53Fj/drlcTNz0V4Tc0Od15QzEbAy3oRJAQwlUUB/x0VTipcqj0j4oM6067FSDAl43LgF0M0c06OOak4a+gw/ftZybnttGV1IhIVsTQhN5wtcal3hkbSf1JX4S+TQPv8flVHPs31PWrKqiHV7wZmuc/162myc3DNk6YCj+cG88+HbHQafqPLqui4fzSS4r2wadhvzvP7uFN1vjfOeZoWSsXC7HBSOky9gLxJGasXtSCp/+49v8bkXbsPtsiKLIc889t8+4yv5+65jbF6lXdIPyoJesZvBWa5z73mpz7BWSNnz41M5YlhVtg6QVvWjq+H8+u4XL/vwOCcmyfc6osc67b7QM0JofFJeUNVa1D/JOR4KG0gBBn5uygIc/XzKXiOhxghtsBH2eot6gEr+X//7kyC6FX35ixn6rVKJ7bKR+ek1kxEX3/tBYFuD0qUOkPpSvPpw/q47JlSHWdSZpHsWGOxrmNJai/PzsYbc3RwNDAp9LoDrsY1xZEFkz+fWru5xp7ANZ1eEN9gJN1kxiGdVS6pPWTBj7q5vXVEZC1lnXleRnL25nIH+OrA77ELAWRp+fP46zp1fTnVQcdX60/iBBEPbbd3Y44PBO0R8BkyZNci7EADNnzmTBggV87WtfY/Hixcyda3nWcrkcqqpy6aWXcsEFFwCWZcjj8XDvvfeydu1ajj766Pd12xcvXrzP8qGNkTy9hxqnT6lyGkkSCUsB6unpKTpp9vT0cMFMi+QGg8F9Jg8UYqQGlUKUBrxFxPcbJ0/kqhPGDzuRed0uzp9VxxlTqqj8wT8IeN0O6agJi9x/4VHcubyliNQX4odnTMHvdRP93lIAbjhtMn6vmzda4lw8t8F5nttQmDu+keWtcc6eUcNn5zZwTGMZcxqtrP3SgJfGfCzoBUfVs7U3Q1VIpDbiRzdz+Ux73YkFLFLqbQUiGuD7S7eimzla4hJJeWgyamtcYuHEcn796m4+NKmC361oczr0Lz2mkeaoZb/5/HFNBH3WQJJIQenT53HRGs/yzOZeTp1cwWl3v8H5s+r41Ss7CXhddCatSZ8AJaLHUVGDXkshnjeujK8vnMCC3yzjy8c3F03glTWDupueZ9t3PkxaMfIJHgbjy4P0pK24w1+8vIunN/Xw+ePGkVV1plaV0pNSCPk81EREtvVleGRtF+PKiveflGLw9OeP4+P3r+CdjgQfmVLF5x9ew47+DL+/aA7N+e/spInlzvbHsipH15ewM7+AKvN7iPg9B01qrrvuOmsfyNtvNE0bkdTXRkS+dHwzi1e205GU+fPqDo4fH8XvceH3uulJKdSViA6J2NKbJpezFELVyFEVFnELgrPP3f2p2Y733u91OSX+iRVBulMKG3tSTKgIklKs1Il0gf3Gykq2fKFmzrLjFE6tBMuillUNVD3neOolzXBK/oOSRkdCoqE0wNObenh0XReLZtcR8rlJyjrlQS83nHYEYMXA3XjGFJqiYzv+R8KGriS3v7abuKTxleObufEA/fJjweLFiwHwCTnc+b1cEAR86nCxJRrbQlXnKtx1U3DrMhGxlElRH13dGmslnWnVYdZ0JBEE6zgRPW7S+QFJR9ZFmFAedKpfKcWasGnkF881ERFFN2kflBiUNEry5wewfpd3OpLUREQyqtVsKWlWspC9MLvlxe08sbEHd74Kl7n5LHTDHDFTG4ZsXmUHYUNLK7qT2f2Prb0c3xylJlLF23usuGG7ItSRkJzIwkKsbBvkuNtfY/O3PsR3/76Fv10xr+j+3rRCqd/L4xu6ueSYxiKvsg3betPf309NTc2w+8ES6err6/c510bWrUFKWdXg649vZGX7IEfkhaK9Iy3vfL3FseO8vWeQpVv6uPlsq+l0cmWQV3fFSMg6Xz6hmZ39lnBz/gOrCPusIUuybnL+A6sAuO/Co5hRE2YgqzlNoyN9zrHimKbhPS97w1Lq3z/65i9o0p1UEWRSRbDoGjRWjMQNvr6wuKm2ORqkuTyArBs8s7mXC46qo6E0QFzSnP4pu4dsQnmAtkGJUydXsmRtl2OfUQ2Ty+c1cdmf1zC9JszZ02v4x5Y+XILlJgjkr30Bj5uGUj87Y5l3ZeM8nPC/TqkfCeFwmHnz5tHS0uI03NjquU3ybRxzzDEA7Ny507ktEomMqLLbt9mvNdbHjYZgMDimP+8Hqf/7F+fzxfxoaZvEtLe3U1IyVBJcvXq1s/AJBAJjWpCMBecfWVu04p1SFXaydkdCSPQMi4D0uF38x/xx+NyuUUl9bd4b97fLj6Wh1M9Pz5pORPSwtS9NQ6mf6rCPY8MZxiW2MqM24iinD352LnMaSwHbhuPB43YxsSLIOTNr+MPb7VSGfNRERNwugSlVYe69YDY9KYXKkI9Sv4fem86wtj1P6qdWhUlIGieOj+an8Pr52YvbWTixnEFJozzg5R9XzucHZ0xhfVeKuKSx5NJj+O0nZ1l9AGmVj8+o4dsfngxYixobPrfAb5ft5tZPTOfECeW8vSfB3W+00JtWWTihgk09Kaey0VQWYDCf895UFmB7XmGuiYjsimXpSiq0xrMs3z3Asl0xevJWoy29adKKjpnLkVJ0xkcD7IpZpGZzXuWyJomaHFVfwp9Wd1D7w+d4cVsfWc3gqU3dwwbyJGXNGZhie19bBiRiWY3ulMKi2XWMi1pjyONZyzvpdQmOcvyp2XWU5ReI7zb/27bfmKY5Iqmf11TGMfl9oiMh8+quGF98ZC3b+jIOUZ5SFXbK/Zt7UoR8bifasNTvQfS4cOeJ7IyC/dlWnQJeFxPyKUr/80YbVy5oJiy6KQt4nZx7uxG3/fsf4fxZtbgE+PrjG1nRPjSECnDSMxTdcOw3udxQJeHKJes493cr+dFz2+hNKVwxr4lSv4dYRmPpF+cjCAInT6oALFXxh2dOPeDv1PbLn/e7FdzxegvXnTKRv1527EH55ceCFStWAODBxEWBMj/C71nf8jI+LUPQpeNR04T8Po6qCXBeufU9TqsOs7k3RZnfigQUPS5HUCgP+vjGyROoDvu49eMzLOLvs+wJLfGhHpGdMcta5nFZsaJZzaApv7Cty5P63y7b7SjldrXK5RKoKxH55KxasqqBaVqLstHiZEeamr03FN3g75uHT1S1h6KBRZTs1+lIyPSkFMef3vijF5xzRWFG+FObuqmJiPRlVJ7d0kuiYNqzZe2xFist8eyoA/j6+iyLS3d394j3gyU8pdNpxy5XCNs2qOgm5UEvkmZSGfLhEoYqmpJm2aE+9YA1nNCa/GuR9d606hwXf1jVTkT0EMuozqRXsKyRC8aV0RKXnGZJexFVFvDy9OfnO+f60oCXn3xs9BCPQwFxjPabQwVBEJyG+AkVQa495dDZUOz4aRvjywOOp35Q0uhMKPnFr+lUKDXD5D+Oa+Jj06vZ0Z9lUkWIlniWjd0pmqMBZtWWcOJ4qwl5S2+aRbPruPih1XxocqVD6kW3C7/XRUXI5/QB/jvg34LUw1Ap3L5Y2D73/T3OfuyePXuGlf9sj7wdlTnWxx1uaG8ffeqorutUVlo++/Xr1zNxorVqrqiowOOxpiwC1NbWUl5ePurrHAi+d/qU/T9oLzyaj/7aG163MKKCVIi6Er9DckpED3sGZarDItVhEZ+p4ndDQ6mfWbXDF2XRoNc52P98yVzOml7D+i4riaY2ItJQ6ncIfk9KYf64Mr516mRH1bDVlKnVYY6oCnHL2dNRDZMZNWHWdCb4UJ44BbxuxkWDRbagRUdZaUS2p7K2xM/UqhBlAW9RF77ocTkZ6vUlfmdoUET0cNLEcv65I8asuhJ8+YWJPYr7zKnVToKHHXvakh+kdN9bbVzyp3foSSvMayqjfVAmrVoZ5SlFZ3x5kFtf3sn4aMBp2nxuWx8r2geZXV/Cg6s7uGhOA9c9tYlFs+vwuFxO+dOGIAiU+r2UBbxs7U1z75utxCWVgaxKV1LG73UjeqzGxUFZ47fLdnPl8c24XQLlAS/XnjwRj9uKaR1NxRwr3G73qKTejgK1y9gdCZm4pPHC9n6+e9pkJ5N6SlWItGrQOmAtjuY0lJJSdHxugfpSP9GA10mhKoS9yLpyQTMnji9HyP8O06rD/Pij04gGvAxIVvJDd9KqCDSUBvIxcD66kjJbCiIRv3R8s6OiKYaJkcsh5QnhTWdO5dsfnmxl3leHufEfW/n9qnYunttAid+LapjMaSh9V98lWL7/M+55k1V7BrnvwqO4a9FsJ2nrvYIkWfu1VzBxkyMcDpNKpUYdKiaKImGXgVdL4/O4GN9Qy7kfPR2ASRUhx2YXyO+HhY2DJaKXadVhPjm7joYSP5MrQzSW+cnlrEm+YDUXJ5X88DisZnI7aKCuxBpQ1D4o80p+AmYsqzl56vPHRbnmpAlO7F52lEQdyJN6ZTipv/+tNt5osWxpHQmZs+9bwW9f2130mGxBr4aq5wpIvVRE6gFW5Zv77QF4jT96nld2xjiiMkQso3LcuDKe2GgR86c2dhdMrAYBYdTtv+KKK/jGN76x33js0a4/KUXnuqc2IWumY7/xuAQaSv3ONsi6wUs7YjyWT6qJZTXa4lnKAl56UlbF8aXt/Vz92HrWd6U4cUI5L2zvpzQ/RPEXL+/k6hMnIDB0rpxaFaI2L+xUh30HVSk5WPjcrjGl3xxKLMg3zYseN1ce/95xnV+dM5O5jaVImtV70pmUeWZzLx+bVu0sbDUjR2NpgBk1EVa0xSkPelk4oZzvL93K+GiQkM89lOnvdjG1OsyuG07jGydPpCosOvZg0WP1QXSn5P06DP634N/iU6TTaVauXMnEiRPx+awT7wknnADA228XewBXrbJKZlOnDilPCxYsQJIkli9fXvTYF198kfLycqZMmXJAjzvccP7556Pref+mLBclDaTTacaNG8ePfvQj1q5d65D66667ju9+97vO484991xmzJjBvwrN5SNXCfal1NuozaflgJUHXBny4XYJltKuy4S8VpLAY5fPG/bcaEEsp51N/Y8r53P6lCpqIiLjowH+34cn5cvqCVyCQMDrxud24RKG7DfVYR+3nD2dgNcq346LBohnNcd7aZPrkdSXwtvCoofaiLiXUu/KP85DQ6mfGTUR5J+fzeTKIMc2/n/27jy+iTr/H/hrksl99b5oS2lpOVqucorcp1o5dGEBdRVWZF1dlS3ICquiq7Iq+0VRv8j+cL+oiICoeO0KKArIsSJyI8hdjpa29Mx9//6YzpA0SZuWtGnK+/l4+JAmk8kkk0ne85735/3RYfeFSuQmahClYDEpLwnj6mol+6dHofhZLojhB20WVZkxMD0aO85VIDdJg8vVFvRLi8KlajP0VoeQFe9aN5DQ5QauegyEVUrE6BSjRLXZjodv6YgKow09k7WoevE2/OdEGe5850dcrDJxrTcZro/yhO6JuFRtxufHruJilRmVJjuKa7iZQVO0cu4kCsDREj16pXBXdOJUUuG97Zms9crUe46XqT8gNBDP7jcikQjmutl2AS7w4Qeb39k9EdeELB6L6X06CFO458SpUWOxY9qan1FmsGJa7xRkRCuhk0uw5I5u+PWpkXjMT016ldmOPh20eLmgG9KiFdApWNSY7WAYBj1TtJicl4SvT5RBKRWjuNYinPgpJVyXjFKDVajpB4BnxmYLJWBuNyBmGDicXLflEZ3jkJukrntvXOgUo8QP5yuFAX7c5+jGg4Xlk/Pw1ewB+OuY0NTLB8NsNkMikeD+bCmiYYJSqYTJZArYZlgmk0EndiKm7DhkrBhRKiV6dOGuhKllYhisTmFQfv2gXiMXC+0FR2fHoYNOLpSX8YE89xm+/txuNzcQUSXlZt812py4qrdi38VqSMQMSvVW/H79ITAM8PED/TAkMxZzBqWjuq4ev36LP57nrNmeLlaZhRI/vm/+4595T7Dmm6nnurrwV8u8gvpLNeiWyH3GfynVw+Fy46dL1YhWSFBhsmNarxTsuVAFt9uNmesP4atfvK8MBNp+pVKJ3NzcgJl6l8uFoUOHYv369X7vrzDacbLMALPDiWiFFC99expWhwv90qIgZUV4fec57LlQhZ8vVwuTtV0z2nChylzX+tWKGrMdL393Gssm5mLrqXL0S43Csau1dZMVOnGuwogxOXGIUUqEjHWUQoJZdZM3MQyDp8dk+92+ltAxWoGCbv5LlVrKmwHGAISarq5jj9HmRI3Zjis1FlysMmNYZozwOf5//y2ClGXQJV4NiViERI0ML97eFVo5i44xCu+gnuViBL69JT+7vZRlIGe5OQEMfk6KI1XEBfVLly7Fu+++i927d+Po0aPYsmUL5s+fj+rqasyaNUtYLj8/HwMGDMD69euxYcMGHDp0CBs3bsSaNWvQv39/5OZeb+3Yr18/9O7dGytWrMCWLVtw5MgRvPXWWzhw4ABmzZol/CgEu1xbxAfy27dvx7Zt2wBwwc+mTZugUqkQExODsrIy4WqDXC4XsvRtmZRtPKhP1soxMZf7AtTIWKTouCAjQS3F2KG34LeTJ0ApFfsdBJMWpRBaSfLGdUlAzxQtYpQS3N8vDSM7x6FTjBIr9xYJJSYMw50o8AESwzC4o1siFBIxEjQyxCi5Ews+C8+XcKhl3KA8T56NLbonanBb13gkaq4HGHxQr5SKkRqlQIe6wcxzh2UiJ16Ng1dqkB6tQIpWjkEdo/H/pvYSHsu/5m6JavRO0aKo0oRJeUkY0ikGeUka7DhXgb6pOlyuMcNg5Wp/Pz1SgjHZcVg+ORdZsd5tHpVSbrZNw5LbcWunGFzVW4UvV4fLjQUjO+PV788K3QZUMhbvzegNm9ONSpOdG9xZ145UznLBz/7L1egcp8KpcoMQWHnOSvj+PX1wolTPTdR0uRq6v3JjKMr0Vsj/8p9AHwsvUqkUo0ePrqtXZ3DoSo0w2ZnR5hCyYl/WtWGtNl+ffEUhESMnXoUOOjkeWHcIv5QaUGqw4r6+qeiZohVef6CSE5PNiew4tXBip5ayXpMb3du3AzrFKsGA63rj+bxclskqnIAAXBaZn+Jd6JnvcaKjkIgRr5YKA3fdbu7kSidnwTDeLeeaKyNGGdSEUaHicDhgt9uhVCohdlrBgCsZtFgsATP1UqkUKrkUHfWnIGNFXAmNWASFRAQ5K8bwrFhMzkvCuC4JkLEi4cQX4N5j/sTp3Rl9kKSRCZ2BrA4XGAaottgh8hhHAQCxSgmSNDIka+X48pdSbDvNlZ7w2d9DxbXCQHaACxyv6q1cGY4bwqBBTwarQ5hZ+7vT14Tba612YSwKH7TUb0bAZ+qr6jolGW1OXKmxQCNj/WbquyWoUWtxoPf/7MSk3ERhuyuMNvRI1uJytRkF7+yD3enGz5evd+tp6EoDACQnJwtBvdlsFpJQANc1TqVSgWX913BXmmww2Zw4c82IGKUE/y2qQq3VgY/r+r7zJUF2p1tIBFQYbbhUbUaMUopSvRXfnL6GWzrGICtWhTIDV0Z5pcYCnYKFQiJGt0QNGIapa5DAvWb+ZJ03rktCwNcXatFKKcbcQCvZti4jWoEjxbXQyrly2Ss1FmTGcoNn3W433vnxIiQibhDz5LwkMAwDhmEwJjsOqToFVFJW+P5xut1eV/OTNDJo5GI8MjgDEjGD9GgF5g67sQYAbUnIgvrSUt96vUD42sfmyMjIwMGDB/Hmm2/i6aefxpo1a5Ceno5XX33VZ+DrggULMHHiRGzevBnPPfccvv76a0yaNMkrA81btGgRRo4cibVr12Lx4sX49ddf8eSTT/rMEhvscm0Fn7XkL02bTCZh3IHdbse7774LpVIJtVqNtLQ0YTKeSCERMY0G9VJWhCeGcVcgNDJWyHSOyY7H7CHZGJObjt4p/mv6s+JU+NMQ/wc8wzB4cGA6AC4Dt2BkllcXlygF6zMBk9JjKu4ohUQIFvlASiERI0kjx9ReycJj8jvocKUuo94pVonnx3fBvR5dhfjXr5SI0TlOhbfu5marvL9fGhI1MhisTqTq5OibGngAVna8Go/cmoEKkx13dk/EezP6YERWLNb+fBn906JQa3HA6XJj94UqXK6xQCNn8fjQTPzvb7yzN3zbMpWMFQb68eVLrn/ciWFZsThfaRJad/LvIwCv8pziGgvkrAiZMUp8fbIMt3VNQKneJnxRx6mkXgPFfik14JtT5Xhv/2Uka7nPcLWf/veBiMVi3HbbbXWdZbjWlHxZjNHm9MpeM+CCFP555BIRvvj9AEzITcSoznHQWx1cQCBnIfd4/YGsnt4b/5x6fVK8t6f09JpxVMaKcahwOBwuN/ZdrEbPuvEnCWopOsepUG6wIUEtg/nlO/D0mGyoZWJo5FzLUv40wo3r3wVKqVjYJq2MhU7OtZjlJ82JhA4P9dntdjgcDq9AXiaTwWazCUF9/ZMqmUwGtVqNHTt2QCYWCZ9dtYwb//D9H2/BI4MzAHAnzl7lN3LWq093kkYm1MvbnW5oZCyqTHZUmmxQS7nJq1xuN7omqjEwPRoJaimuGW3C4Pq/je+CrglqnxK1KIUEg97YJWTT+cCY76DD1xobbQ4UVZrwp01HhfaWtRauJ77L5YbR5kDh8Exk17XFdThdMNm4sp5SvRUxz05lQgYAACAASURBVGyBzcn12L9SY0FOvAqlBivUUlboanOi1ICuCWpcM9owNDMGc4dlCieYFSbueL5cY8FVvQV/GZWFUr1VCKacLjesDheqTDahvaCnuLg4FBcXw263Y8OGDThy5Ihwn8FgaHC8WoXJhkSNDBcqTUJ/d7PdCZGI+/xbnS4hi66QiGGxO3HNaEOlyY4oBYsyg4270havglbOwu3mvl+KayyIkku8Jh2KUUiQoOZKbnSKiOszEjFYsQj906IgFjE4VW7AlVozsuJUsNSNEXK43JCIGcSpZV5dhD5+oB9UUrFw8gZwJ7SeMUJWnApL7+yOCbncycCo7Di8NikP7UXIPpVPPPEE5syZg1GjRgVcxmaz4Z133sGWLVvw+eefN+t5pk6dKnSzaYxMJsPMmTMxc+bMRpdVKBSYM2cO5syZE5Ll2gqDgau15TP1FotF+HEzm80wGo1QqVRQq9VC6U0kCSZT70krvx7U6xQS6BQS4YfpRmlkrNBXHbieffOkkHA/ENFKCaLqgig5KxIuCzMMg9QouTC7IMBl0z1biXJ9jK+vU8qKwIoYoSbQc14ClVQMhUSEDjo53pl2PUMfaPs9jc2Jx+NDM9E9SQOPRC/2PHarEFx7PubMwlG478ODXuvwDH74z52Y4dqpek6FLmYg9O4HgFPlBtzWNQGT8hJx8EotcuJVeMOjHnhGnw7CDziv3GDF8at6ofVnjZ/+943hJ58y2ByoNtthc7hQZrD6dJqIV8kwvq6MSSHhfkTUMhaDM6Lx3ZlrqDBy5TMKibjRSVpiPYLFQKSsCPf17YB71x7EC7dxpYN/Hp6F9/dfwpqfLyM7XgW5RIwX6gboScXXu2MwDJCqlWPfxWphe3VyFi63G6yIQVacCiqpGC43fFrxRQqGYYSg3mg0QiQSQSKRwG63C1dQZTKZV+mhTCYT7kvWyoQgTSNjIZeI6rJ/dcuyImGCHMB3DM74Lgnom2rD37edAcCdLFVb7Fg0Oht3dk/E4i2/4lK1Gb1SdHh2XI4QlD84IB3/2ncRMUoJflkwAveuPeg1oJTP2L++8xwAroRFLGJw79oD+Pz3A2CwcW0yjTYn7n5vPy5UmlBcY0FatAK1FgdEDIOk57fi4Vu43uP8YNfvz1Tg6NVamGxchxGAK79ZvOVXLBiZhew4FbafrUBGjBIVRhtuzYjG7gtVSNZynUK6J2rQOU6Fab1T8N1p7vMeq5Lihdu6ICdeDafLje1njqFznBK/1PX7tzi4qwDbTl/zGXjNsiz27NmDrVu3wmq1CkkogPsNa+iqcYXRjs6xSpTUWoUxK/z3lYjh+s7/ZVRnvPjtaSgkYkxf8zOq6tpVSkQi2J0uRNf9DvDHarxaiuJaK3QK7juaL3eMUXKZep2cbTcDK9uqrDglLldb8OCAdDyz+Ve8dVcPWB0uodTS34zlTN2VMT4Js3B0Z/x92xmfGKE5bT4jRchemd1ux/Lly/Hqq68KgaSnM2fO4IknnsDmzZsDtq0iocf39+W/JC0Wi5Cp529TqVRITU3Fo48+Gp6NvAESUdOC+u6JGjzTjIG6wdDIWK+JiepP1ANwZQ6zB6Yjhs/US1kka+VeJQ9PNLEXuFQs8spMeGIYBh10Cr8nGPWlaOV40mNyDVYswrPjvN+rQ/OGob9HyzV+xuCrz41Dx2iFTz22VsYKy3g6XFyLWNX1H8UOOoXQhztOJcWh4lp00MkhY8V4+c5uQicW3vQ+HYRyFd77+y9jdHYcxHWz99bPejZk26lylBus0Ov10Gq1MFgdqLbYsflkGd744bzP61JJxVgwiqu/lrMioXwqI0YJjYwVyh64TH1oAuV78lNR/vw4rx+kOJUUnWKUmNDd+zuVYRjEKiVwgyt7ur1rAg4VcxN2KetONPgxEmvv6QOGYSAWcTMyRyKWZeF0OqFQKGAymcCyrBDU85n6qKgoIYiXSqWQyWQYP348AOAfE3MR4zGYvv7g+9wkjZDlBrg+3o96XMFL0cmR5xHk6xQSVJrseGRwBjJilEjVyYUTpi4JaqFtIX+ibbI7wTAM4lRSrzkHquqOibUHrgDgMvW1ddl0gJvHIVkrh9HGjQHhJzt79bszOHilBuUGK8oNNlzVW4XP8JUaMz49WgKDlaun11u5Fqb8oNIDl2uQE6/GVb0VnWKUKK61cDMUvzAe0QoJTpYZkKCWQiIWYW7dFdBKs40bH5ObxM0kLmdRarBiep8OwomRxe6qm7Ha/0RUL7/8Mtxut9dvFBBEUG+yIStOhRK9RdiH/G/CxNwkfPFLqfC5jlZIEKOU4pWCblxWHtyxoqkbq8QH6nEqKfRWB3Rybq4TPlP/2qRcJGlkiKrrikZazqz+6Ti9cBSeHpuDyhfG183Me33yw0ANMjyD+km5ScJtN4uQvdLXX38dGRkZ2LVrFx577DGvy2cbN27EggULcOXKFYwZMwZvvPFGqJ6WNMJgMECpVHpl6usH9Wq1GizLBuwY1JY1NVMvrpf1DiWNjPWqG/3od319lpGIRZiUl8Rl6hUsUnRy9ErRegX1/ibsaoiMFfmdrY/35IisoEoqhmXF4tUJDQ+G7pWi8woqlXWXOhM1MrBiEf45pafX8ho5K/Ru9vTHT456Zb89xy30StHCaHMKYwMArjfyzkcHB9yuksVjcbnGgrE58dDKJej+6vcBJ+vx5+uTZfilVI+amhrodDoYbE7UmB0oN3KTa3lmsI02J+QeU7wvqWuVCgAF3RIwsnOs8IPPZepDl9GrP+g0TiVFapQcT9a1OvUUo5QiL0mDw8W1mJSXhMPzhgO4Xn5TY+Z6m3t2pbnVT3eeSMAH6/zgWJFIBKlU6pWpnzx5slCXLZFIwLIsbrvtNp91ec52zZvaK6XR7j2ex1i0QgKD1SHclhal8OmO8tqkuhlGRYzQvYkbU3N9PYvGdMbDHp1GurzyPfRWB0pque/w4lqu1rhMb0WlyY4OOjl+ulSNZzb/irMVJlSYuMl4LlSahONt9/kqrD9UDJPNKQw87JWiFU4Ujl7VC7X3nWIUKKoy1w3K5sq9dp2v9BqoDwAOp9src6qVs7iqtyJKLsH+uUMBAKt/uoT9l2tQbrSiuMa3vaVMJoPVaoXNZvMK6vV6fYNBfaneiq4JapTUWoVe4/zxObVXChLVMiEBwGXgLeiZouWOAYsdyVoZNDIxkrQyaOUsWBEjHL86uQQ58Wqh1WxWnAoKiRh5SRoMzojMYyVSSFkRMure92ilFBIxg0+PXsX6g1wLWInY/2+aZ1DPxwaydpyZry9krzQtLQ3Lli3D3XffjcrKSjzzzDNYtWoVnnrqKaxZswYKhQILFy7E448/7rfXLGkZRqMRMTExQlBvNpvxxRdfYM+ePUJQH6r+8+Hw+JBOPj8w4dIrRYu7eiQJfzd0iS8rVoXJeUnokazF65NyMbxeJroppI3MLtiS7ccYhkGyR3Y3K857IJ5WJvHJ1PMnMD2SPYNJrl2aVCxColqGJI3Mq70nwzAYmhn4PUqqu3SeHcfNPnyq3IgKky2oE74Pfr6MHy9Wc1OO19YCqmi8vecCqi12XDPaUFJr9Xp/r+otXiVbXRLUQhCYpJWjoFui8J7LJaHL1PsTr5IFnK49USPDzP5pyO+gEzrpABBKgq4ZbT7bFmiWy7aOD9YVCoXQxlIikXjV1E+ePFkYMySVSgM2NnjrrubX126ayZXNScQMWI8gPzVK4fNe81nuXxaMEMbIqKWs12dWxnLjZHgmG1cDX2qwwmh14InPjmFMdhz2XKhCx2gFJnRPxD+2n8Wf69btcrsxKD0aRVVm4TN85poR1Wa7V8ecPh10wqRzpXqrMGlTlwQ1fvv+z0LA3iVBjT0XqpBQ74qOG97UUhblBhsUEpGQUT1cXIstv5bhqVGd8cI3p3zeOz6o5/8DAKvV2mhN/ZlrRvRPi4LV4ULvDloM6hgtlDNq5Cz2Pj5E2BdxKm5geYJaCp2CuyKTGaPE+K4JiFZIhEmW+BMgnYLFY0M7CZ1TAO7qW26SBqOy4wJuEwk9/juWb9/rr/wGAIZ2isWMPtykmfxnjzL1zSQWizFz5ky8+OKLUCgU+Oqrr3DixAn06tULb731Fm655ZZQPh0JgtlsRkxMjFf5TWlpKaqrq2EycZdBG5p6u63rk6prM/VxfdOi/LbF9EenkOD2upZkHWOU6BfELIKBNFR+0xoaGpNQf0AhwGUjHxyQjl4p1/uh56dGYd8TQ4WJQRaO7tzkvsH5HXTQKSS4qudOYB//7FhQswTuu1iN41f1wiBnq0SNoyV6nCjleudfqjYLMxkCXAvP5AbKVObc0lGYnKVLvNpvGVaoJGqk6BdgAPS6+/LRJUGNL+o69vBStDJM752CZK1M+PGLdHxQr1Qq8emnn2LIkCFCSQ4f1PPZe5ZlhX/7cyP99Cf3SBbq4D3Lw3okaTCwY7Tfx2THq4V5BdQysU8AkqCWYsHILGFOiwfWHYTT5cah4lr8eLEaswem45aMaLw3ozeW3NEVOfFq/GUU9/nrFKPEoI7RuFDpHdQD8OpalRGtFD7/0QqJcNzw/+dL2aIUEsSrpRjtEdBKWa4u3RN/hUJV7yRl74Uq3NYlQZhh15NUKhWy9FarFbW1tViyZEmjmXq91SEcY+nRSswemO7VeSlRIxOyuvF1ZTVqGQutjGudmBmrwjNjc4QOKkkaGVR1+8FfByd+4iISHvzJZ6DyG42cRVLdb5KMFYFhro9NuRmEPIVkMpmwdetWIWAEgMuXL+PixYuIjvb/pXazKCws9GmvVlBQgIKCghZ5PofDgStXriA2Ntar/Abggn2LxYL09HTExjY/S0zCT9YKU4ZLxIzQgaO++R51+PW9/ZsePuU3Gj81ywA3PfuUXslwutx4vN7U4cHYPGcgAODfswfi7nf3o9JkE2asbUhJLTeZVEVduY5MEwWA+/46W1f/6zmo9/NZ/YXBuI25t2/TSqmaSill8fxt/md7VQfI4CulLG7vliicVLYHnpl6l8uF4cOHC617+Yw83xFHJpOBZVn06dOnRbZFU69NLcCduAeaa8OTWsr6BIy/7Z2CKW5g0v/tw9Reydh7gZts53S5Ec+N4+YB8Bx4uv0Rrkxt959uxd6iKmTHqfDaznNCgH2x2gy1TAxT3SzDXeq6vkjEIux4dDAe3HAYneNUqHhhvNDSstRjLoqy58d7bZ9CIkKZwf93Q68UrdexbnG40DdN57evvlwu98rU6/V61NbWNpqpB4AojxI3riWp93soEYnq5sWQotbCTaKnU7AQMwyyYr33S6KGm0sg0GRSuUmaRge/k5ZzscoMsYgJWH7jScaKIBOLWmQG67YqpJ/MY8eO4bXXXkN5eTkyMzMxd+5c7Ny5E5988gmeffZZTJgwAQ888AAkkptz1PiyZctatdSlsrISb7zxBu666y6vTD3ABfVmsxmzZ8+OyFp6cp1EzDRYUx8KNRZHwEuYk/KS/N4OQMiYeNLIWL/lQtFKKSZ0T8SWX8ubtY18Vo2/cnBrRoxXn21PD398BHMGpaODTiF0G6kw2rBz505sO18LoBgXnx6DQW/sQnGtxatDzZAGyoBIePCBu0LBncTJ5XIhE88nUsRisTBAViQSYfbs2S2yLVvnDML5ShOe2+rburExGjnrMwCc/1xbHS6kaOXcpHkiBr+WG4SJkPwZ3CkGgzvFCFl0pVSMrFgVvjtzDbFKKYw2J0QMcPKpUfj0SAmkYgbZcdx8CwzDIEbJzVi8YGQWNh4OPNurw+lGoJCpa4JamLtDLRPj3em9IWPFXt20hNdZr/zGaDTCbDY3mKl3u90QMQzi1VKc/+to7nVKxF5jXgDuyoFKyiIzVolrRhuiFRKMyIqF0+UWSo14q6b28mlh6ilWJQ2qYxVpGRerzYhXSQOW33iSNXHMXXsQsqD+vffew6ZNm+B2u3H33XfjvvvuEwZf9u3bF8uWLcOXX36Jw4cPY968eRRItoKYmBi4XC6vmnq+VtFiseDKlSu0H9oBhmGa3DGnqe7KSwrZwDC1jA1YFqOQiL0ynM3ldLmhkopxzej//k1HS/DPvUV4d3pvlOitEIsYVJq4yYsM1ioAXD3tPyZ0x5yPDyNWeXMmIiKFZ/kNLzo6GjqdDiKRCGKxWKiz54P6ltI/PQoSMeOTLQ6GWupbfsPbNKs/5KwIU9//GdEKCU6VG9A5rvGrLRKxCMWLxyJJI0PPFA0uVJngdLvhdLkhqst2auUspKwIUQqJz2D3RaOz8dCgwONy5o/IgsFP5t2x9E6IRNdbDMYqpfhNz5SA65FKpV4DZU0mE0wmU4PdbywOl9B+lB9UqZSKIfMzXkIrZ9Gjbo4HpZQNeDWQHxfEzxBM2o7nxuXgua2n0DFaAWkQmfpgZpxvb0L2aj/55BNER0fjxRdfxMyZM71mf8vNzcWbb76JYcOGoaioCPPmzQvV05IGsCwLnU6H2NhYoc0on9Eym8146623AtaVksgysYFseSg8OqQT+qTqGl8wCFo569NjntcjWROSOm+FhCtJYhgum+fZatTpcqPcaEP3RDUu1dVnpurkuFht4pa1OvCbnslQSVnMyO8ArUwitMojbZNn+c3u3bsBcDOAb9myBWKxGBKJBGKxGDKZTOh805LUMrZZM/OqZb7lN7wYpRRKKYtEtQzZcSqcKjcGXQaSrOWy70M6xaCgWwJ+1zcVYhEjZMz5kjiGYXzKhHQKiddg3fr6pkVheJbvoFG+jlkq5iZga6yve/1M/ZUrV2AymYQ2s/6Y7U6fq5T+MvX8a8yJV2FgenDjlzb46V5GwmtxXZnZ8KxYytQHELJXO2TIELz55pvo0cN/9wSlUol58+Zh/vz5FEi2otjYWOTn53u1GJVKpaiurhbuJ6Q13ZefioLu/jOMWrkE3W5goCJPIRFDVTdb76lyIwq/OC7cV2G0QSUVo6BbIj47dhXjcuK5mTs7RuPzY1dhsDnwp1szhKAkNUre5EG7pHXxQTpfN+95O5+h54N7vod9S9I0N6iXsn4DUk8ddHJ0T9Lg13KD3zkgGpIercTv+qVh7rBM2J0usHXZzkDjXEJBKhZBp2AR5TEDq5/qGyGodzgcqK2txeLFi2E2m2G1WgPOdG6yOX3eZ4VE7PcqiUbGjRv47xNDg9puDdXNt0nPjM1G7xRdUF3vpGJRi32u26qQfWoXLFgQ1HLDhg1D9+4N98ImoRMXF4eoqCioVCoYjVwtgkwmQ3l5Oe666y506eJ/kB0hLaU1fiwVEjFUdaUMJbUWFFVdH7i/Ys8FPDI4AwtHZ2Pp9rP4+x3dcLSkFotGZ+OetQfQK1nr1SZy0ejsFt9ecmM8B8P6u08ikQgBPx/gtySNTNzMTH3g8hve4nE5sDldsDvdNzRg02B1CJMqaWRsi524SsQM1FIW9zUyaJwP6qVSKddaFhB+swIx2Z0+nb8yY5W400/SIFDrVxJZ/nZb16CXFYmYm26/h+UUJi6O+ru2lpEjR0Kj0aBTp044f/48ACA+Ph7l5eUNtgkjJJIpJGLuMjwrRkmtFUVVXJnNkeJaPL/1FIprLdDJuVkkR3SORXq0EnKJGDaHCwab06tzTEMDgUnb4Jmpr49hGCGonzhxIliWbfHyG4VEjL/fEXzwwcuKVWHhqIZPIlmxCMq6blc3MrFZbd2MwgB3ot1SZQr8jK2edfkyVgSrw7tjDj8DsGdQ7/Y3otaDyeZbfhOtlGJEZ98YY1rvwPX8pP262ToVhezVHjt2rEnL5+U1f4IPErypU6cCADIzM7F//37ExsYiNTUVmzdvbrRNGCGRiqup52prS/QWXKwy41S5Ab+WG7D0zu74be9kMAyDrx8aCIlYhA/vywfABSA1FvtNl92JdA0F9XwtPcMwGDt2LNavX9/iQT3DMMhL9l8H3hCRiEFakPMadE9U39DEZlaHSyhNUEvFLVqmUD+gVkvFMFidXn3gGYZBUVERpFIpXC6uY090dLTX7LL1me2+5TeBtOQkfKTtSrvJBjyH7Jtt0aJFTeoF+vnnn4fqqUkQ4uLi8O233yIrKwsPPfQQPvroIwrqSbullIihkrJIi1Jgxe4L6BitwKDlu/CHWzpieBaXmQeA3h28B/+mRclx8Epti84CS0KPD9L9/QaJRCKvWcxbo6a+NRxfMPKGHp+glqGsrt0kKxYhqYEJ1W5U/YBaJWVhtDl8WkNevHgRQ4cOxblz55CZmYmkpCShc5s/Jptv+Q0hnj64Nz/cm9CqQvbLNXLkSL9fqG63G9euXcPZs2dhMpkwYMAAKvsIA7lcjsuXL2PgQG6CHqfTSUE9abf4mvqnx2Tj2c2/YskdXfE/28/ii+NXMaVncsDHdY5T4fNjpVBRpj6i8DXy/mrl6w+elUgk6Ny5c6ttW1uVrJWhuPZ6wNya3V5UUrHXjLa8GTNmYN68ebj99ttRUFCAjh074ocffgi4HpOf7jeE3MxC9sv15z//ucH79Xo93nzzTVy8eBH/+Mc/QvW0JEhyuRxVVVVCH+eEhIRG6xUJiVR8UM8nGn7TMxkF3RLR6392IL6BCXuy41ToFHNzXa5tDxrK1IvFYq9gX6PRYO7cua22bW3V65PyvGaJbs0OT4GCer7dNT9J2Pjx4zF+/Hif5XiUqSfEW6ulozQaDQoLCzFnzhy89957ePTRR1vrqduMwsJCn5rPgoICFBQUtPhzy+VyVFZWCjMufvbZZy3eAYKQcJneJwUpdTPLPjggHfEqaV2vbBbxDbRCy4lXo0sCXUmMNPzgV3819SKRyKvV8ksvvdSam9Zmpeh8Z3tuLSopC5OfoJ6nUCgCtrH0ZLa7oJHT7xghvFa9xiyXy5GTk4N9+/bdlEH9smXLvGY8bE0ymQx2u10I6mmuANKeefa6f2daL+Hfz47LaXBgXZcENVb8xv9cG6Ttio6ORnR0dMCBso888ojwd0vOJkuCo5SKYfQzC61wv1IZVFBvsjuRqKHfMkJ4rf7tZjabhdlNSevhB4rxQT0hN6PC4VmNLuPZkYNEhjvuuAN9+vTxG7BLJJImNXEgLS9Q+Q0v2Ez92QojUm+y7iaENKRVg/p9+/bh+PHjSEmhfrGtjf+CpKCeENIeicViv8H7zXhVuK1rLKhXKpVBXU0+VqJHXhI1fCCEF7Lym+XLlwe8z2w2o7i4GEVFRXC73bjrrrtC9bQkSHwHCArqCSHtkUgk8jtOKCcnJwxbQxqikopRZrAFvF8ul3u1IQ1EyoroKgwhHkIW1G/btq3RZeLj4zFjxgyMGjUqVE9LmkAul1NQTwhpl0QiCvAiRWMDZYPN1BNCvIUsqG+oo4BEIkF0dDQSExND9XSkGSioJ4S0V2KxmAbBRghViAbKEkK8hSyo92wZRtqmYAcfEUJIpBGJRBTURwiNnEWtNXBQn5OTg/j4+AbX4XS5IaYLM4R4oWkTbyLR0dF0eZoQ0i5Rpj5yJKhlKG+gpv72229vdB02p6tVJ8wiJBLQEXETmTZtWrg3gRBCWgRl6iOHTs6i2my/oXXYHC7IKKgnxEuzM/WzZ89u9pMyDINVq1Y1+/GkecaMGRPuTSCEkBZBmfrIEYorxjanC1Ix7W9CPDU7qC8rKwvldhBCCCHNRkH9zYWCekJ8NTuo/+KLL0K5HTeFwsJCnx+dgoICFBQUhGmLCCGkfaCWlpGFYQC3293sfWZzuKmmnpB6aKBsK1q2bBmUSmW4N4MQQtqdQJNPkbZJxopgdbgglzRvn1GmnhBfzT4i/vrXv+KTTz7xe5/JZILNFnhkOyGEEBJKYrGYMvURhA/qm4sL6ml/E+Kp2UH90aNHcfnyZb/3zZgxAytXrmz2RhFCCCFNQd1vIotMLL6xoN5BmXpC6muRI8LtdsPtdrfEqgkhhBAfFNRHlpBk6qmmnhAvdEQQQgiJeNT9JrLIWBGszhstv6H9TYgnGihLCCEk4o0ZMwbR0dHh3gwSJBkrgsXubPbjbQ43BfWE1BNxQf3Ro0exaNEiv/ctXboUXbt2bdJyvLNnz2LdunU4ffo0DAYD4uPjMXz4cNx1112Qy+XCcmazGR988AF27doFvV6P1NRUTJkyBcOGDQvRKySEENJUaWlp4d4E0gShKb+hgbKEeIq4oJ53//33o0ePHl63dezYsVnLXbx4EQsWLECHDh0we/ZsaLVaHD9+HOvXr8fZs2fx9NNPC8suWbIEp0+fxgMPPIAOHTpgx44dWLp0KVwuF0aMGBG6F0gIIYS0U6EI6mXUwpQQLzcU1H/33Xf47rvvfG5nGCbgfbzPP//8Rp4aKSkpPtn25i63Y8cO2Gw2LFy4EMnJyQCAXr16obKyElu2bIHBYIBarcb+/ftx6NAhzJ8/H8OHDwcA9OzZE2VlZVi9ejWGDh1KfZIJIYSQRtxwTb2DMvWE1HdDBWl8l5vm/NeWsCx3blN/Yii1Wg2RSCTcv3fvXigUCgwZMsRruTFjxqCyshKnTp1qnQ0mhBBCIphMHIo+9VRTT4inZmfqv/jii1BuR5OtXLkSr776KmQyGbp27Ypp06YhNze3WcuNGjUKn3/+Od5++23MnDkTWq0Wx44dw+bNm3HHHXcINfVFRUVITU31ycZnZGQI93fr1i3gNptMpqBem0QigUQiCWpZQgghJNLcePmNG1o5BfWEeIq4mnqlUomJEyciLy8PWq0WJSUl+PTTT7Fo0SIsXrwY+fn5TVoOABITE7F06VIsWbIEDz30kHD7hAkTvP7W6/VISkry2SaNRiPc35BZs2YF9RpnzJiBe+65J6hlCSGEkEhzo0G9xe6EnPrUE+Il4oL6rKwsZGVlCX/n5uZi0KBBeOyxx7B69WohWA92OQAoLS3FCy+8gKioKDz11FPQ6XQ4deoUNmzYAIvFgscffzwk27569WqfEh9/KEtPCCGkPZNLxDfU0tJsd0EhoTFshHiKZ91ItgAAIABJREFUuKDeH7Vajf79++Prr7+G1WqFTCZr0nLvvfcezGYz3njjDaHUhs/wL1++HCNHjkSPHj2g0Wj8ZuP52/iMfSBKpTKooJ4QQghpz2RiEarN9mY/3uxwUlBPSD3t5toVP/iWYRoeDe9vuXPnziEtLc2rHz0AZGdnA+BaXgJc7fzly5fhdHpnF4qKigD4b6lJCCGEEG83Wn5jtjshl7SbEIaQkGgXR4TBYMBPP/2EzMxMSKXSJi8XGxuLixcvwmw2ey1/8uRJ4X4AGDRoEMxmM/bs2eO13LZt2xATE4OcnJxQvSRCCCGk3QpFUE+ZekK8RVz5zdKlSxEfH4/s7GxotVoUFxdj06ZNqK6uxty5c5u8HABMnDgRL730Ep555hlMmjQJWq0Wv/76Kz7++GOkpaWhb9++AIB+/fqhd+/eWLFiBUwmE5KTk7Fz504cOHAA8+bNox71hBBCSBBuPKh3QUGZekK8RFxQn5GRgV27dmHz5s0wm83QaDTo3r07CgsLvTLlwS4HAAMHDsSLL76Ijz/+GKtWrYLRaER8fDzGjx+PqVOneg1cXbRoEdasWYO1a9dCr9cjNTUVTz75JIYNG9Zq7wEhhBASybRyCWosza+pt1CmnhAfERfUT506FVOnTg3ZcryePXuiZ8+ejS6nUCgwZ84czJkzJ+h1E0IIIeS6ZK0MV/XWZj+eut8Q4ouuXRFCCCGkVUUrJKgy3UCm3kF96gmpj44IQgghhLSqxjrVNcTmcMHmdN3QOghpjyioJ4QQQkjE+PDAFWw+WR7uzSCkzaGgnhBCCCERo9zY/Fp8QtqziBsoG8kKCwshEnmfRxUUFKCgoCBMW0QIIYSEB8NwE0I2tYymwtj8WnxC2jMK6lvRsmXLoFQqw70ZhBBCSNhJxSLYnC7I2KZ1sakw2VpoiwiJbFR+QwghhJBWJxWLYHO4m/y4SpMNppfvaIEtIiSyUVBPCCGEkFYnZblMfVPZnW7qUU+IHxTUE0IIIaTVScVMs4J6Qoh/FNQTQgghpNXJWDFsDgrqCQkVCuoJIYQQ0uooU09IaFFQTwghhJBWx9XUN32gLCHEPwrqCSGEENLquO43Tc/UN7GtPSE3DQrqCSGEENLqpGIRrFR+Q0jIUFBPCCGEkFbX3Ew9IcQ/CuoJIYQQ0uqkbNMHyrrdbripDJ8Qv9hwb8DNpLCwECKR93lUQUEBCgoKwrRFhBBCSHhIxU2ffMrpcoMVU1E9If5QUN+Kli1bBqVSGe7NIIQQQsJOxja9/MbmdEEqpiIDQvyhI4MQQgghrY7L1DetlsbmdFNQT0gAdGQQQgghpNVxfeqbmKl3UKaekEDoyCCEEEJIq2tO9xub0wUpSzX1hPhDQT0hhBBCWp1UzDS5T72dym8ICYiODEIIIYS0uuZk6h/bdBQSCuoJ8YuODEIIIYS0utQoBU5fMzbpMf8+UQYJtbQkxC8K6gkhhBDS6rokqHGmCUG908V1ynE0sWMOITcLCuoJIYQQEhZNqY8vN1gBAAabo6U2h5CIRkE9IYQQQsJCxAAuV3CZ95JaLqg32pwtuUmERCyaUbYVFRYWQiTyPo8qKChAQUFBmLaIEEIICR+llIXJ7oRa1ng4craCK9WhoJ4Q/yiob0XLli2DUqkM92YQQgghbYJSIobJFlxQv/1sBXoma2GwUvkNIf5QUE8IIYSQsFBKxTDZg8u8n6804fGhnVBpsrXwVhESmSioJ4QQQkhY8Jn6YIgYBg8OTG/hLSIkctFAWUIIIYSEhUomDqpG3mh1QCkRt8IWERK5KKgnhBBCSFgoJWKY7I3XyF+oMiMjRtEKW0RI5KKgnhBCCCFhoZQGV37zzo9FmNA9sRW2iJDIFXE19UePHsWiRYv83rd06VJ07dq1Sct5On78ODZu3IiTJ0/CbrcjNjYWo0aNwvTp04VlzGYzPvjgA+zatQt6vR6pqamYMmUKhg0bFoJXRwghhNw8VEEOlD1zzYQhmbGtsEWERK6IC+p5999/P3r06OF1W8eOHZu93Pbt2/Haa69hyJAhKCwshFwuR0lJCSorK72WW7JkCU6fPo0HHngAHTp0wI4dO7B06VK4XC6MGDHixl8YIYQQcpNQSoKrqSeENC5ig/qUlBS/2fbmLFdRUYH//d//xfjx4/HII48It/fs2dNruf379+PQoUOYP38+hg8fLixTVlaG1atXY+jQoRCLaSAPIYQQEoy0KAX+Z8dZ3N8vrcHlmFbaHkIiGdXUA9i6dSssFgumTJnS4HJ79+6FQqHAkCFDvG4fM2YMKisrcerUqZbcTEIIIaRdGdgxGgqJGKV6a4PLuVtpewiJZBGbqV+5ciVeffVVyGQydO3aFdOmTUNubm6zljt27Bg0Gg0uX76MF198EUVFRdBoNLjlllswa9YsYRbYoqIipKam+mTjMzIyhPu7desWcJtNJlNQr00ikUAikQS1LCGEEBLJhmfGYue5CkztlRLuTSEkokVcUK9UKjFx4kTk5eVBq9WipKQEn376KRYtWoTFixcjPz+/ScsBXPmN1WrFyy+/jKlTp+Khhx7C6dOnsXbtWhQVFeGVV14BwzDQ6/VISkry2SaNRgMA0Ov1DW77rFmzgnqNM2bMwD333BPsW0IIIYRErM5xKvy3qKrBZaj8hpDGRVxQn5WVhaysLOHv3NxcDBo0CI899hhWr14tBOvBLgcAbrcbNpsN999/P6ZOnQoA6NGjB1iWxapVq3D48GH07t37hrd99erVQta/IZSlJ4QQcrPooJOjuNYS8H63203lN4QEoV3U1KvVavTv3x8XLlyA1Rq4Li/Qcnym3TPQB4C+ffsCAM6ePSss5y8bz9/GrycQpVIZ1H8U1BNCCLlZpDQS1F+utkDOtotwhZAW1W6OErebO49nmIYv0vlbjq+Jb2zZjIwMXL58GU6nd/utoqIiAP5bZRJCCCEkMIVEDIvdFfD+9Be/RY3F3opbREhkahdBvcFgwE8//YTMzExIpdImLzd48GAAwM8//+y1/P79+wEAXbp0AQAMGjQIZrMZe/bs8Vpu27ZtiImJQU5OTkheDyGEEEKuK6ltuDsOISQCa+qXLl2K+Ph4ZGdnQ6vVori4GJs2bUJ1dTXmzp3b5OUAruxmwIABWL9+PdxuN7p06YLTp09j/fr16N+/v9Atp1+/fujduzdWrFgBk8mE5ORk7Ny5EwcOHMC8efOoRz0hhBDSDAwDuFxuiET+r7ZfrglcnkMI4URcUJ+RkYFdu3Zh8+bNMJvN0Gg06N69OwoLC70y5cEux1uwYAHWrVuHzZs3Y926dYiJicGkSZMwY8YMr+UWLVqENWvWYO3atdDr9UhNTcWTTz6JYcOGtfhrJ4QQQtqjeJUM5UYbEjUyn/u6Jqjx52GZYdgqQiIL4+YLx0mLMZlMmDZtGjZs2BBU9xtCCCHkZrJ486+YlJeI/NQon/sm/msfvnhwQBi2ipC2Idg4sl3U1BNCCCEkcqVHK3C4uDbcm0FIRKOgnhBCCCFhdW9+B6w/WOxzu8XuhIzaWRISFDpSCCGEEBJWcokYMlaEvRcqUeLRs77W4oBWHnHD/wgJCwrqCSGEENImfHbsKg5eqRH+rrHYoZPThIyEBINOf1tRYWEhRCLv86iCggIUFBSEaYsIIYSQtqOk1opKkx1Olxt7L1SCYRjEqwPPP0MIuY6C+la0bNky6n5DCCGE+CFigMs1ZlSZ7Cg3WPHaznO4Nz8VSX7aXBJCfFH5DSGEEELCTi1jcbrciEqTDXuLqlBpsqPUYPXbu54Q4ouCekIIIYSEnVrGosbiwOUaCx7++AgqTXZcrbUiUU1BPSHBoPIbQgghhISd3elCvFqKKzUWlBlskIhFlKknpAkoU08IIYSQsCs32JATr0JxXUvLSpMNZQYrEihTT0hQKKgnhBBCSNiVGaxI1sihtzoAABaHC3qLA1KafIqQoNCRQgghhJCw++fUnnhufA7sThcAIFUnR7XFHuatIiRyUE09IYQQQsKuV4oOAKCScqHJwPRoXDPawrlJhEQUytQTQgghpM3QylmIRQyGZsbQIFlCmoAy9YQQQghpM7QyFn8Y1BEz+nRArxRtuDeHkIhBQT0hhBBC2gyNnMWIzrGIV8swnDrfEBI0CupbUWFhIUQi74qngoICFBQUhGmLCCGEkLZFK2OhkorDvRmERBwK6lvRsmXLoFQqw70ZhBBCSJullUuglFBQT0hT0UBZQgghhLQZOjkrdMAhhASPjhpCCCGEtBnzRmRBI6PwhJCmoqOGEEIIIW1GlEIS7k0gJCJR+Q0hhBBCCCERjoJ6QoJgt9vx4Ycfwm6nKcsjHe3L9oP2ZftB+7L9oH0ZPhTUExIEu92OdevW0ZdUO0D7sv2gfdl+0L5sP2hfhg8F9YQQQgghhEQ4CuoJIYQQQgiJcBTUE0IIIYQQEuEoqG9FhYWFeOSRR7z++/e//93s9d3IY2ndbUukvieRuu6WFKnvSaSuuyVF6nsSqetuSZH6nkTqultSpL4nrfF+U1DfipYtW4YVK1Z4/VdQUNDs9UXqhy9S192SIvU9idR1t6RIfU8idd0tKVLfk0hdd0uK1PckUtfdkiL1PaGgnhBCCCGEENIoCuoJIYQQQgiJcBTUE0IIIYQQEuHYcG/AzcDtdgMATCZTSNfrcrlCvk5at3/8OiNtu2ndvmhftp91075sP+umfdl+1k37MvTr5h/Hx5OBMO7GliA37Nq1a5g1a1a4N4MQQgghhESo1atXIy4uLuD9FNS3ApfLhcrKSigUCjAME+7NIYQQQgghEcLtdsNsNiMmJgYiUeDKeQrqCSGEEEIIiXA0UJYQQgghhJAIR0E9IYQQQgghEY6CekIIIYQQQiIctbQk7ZrJZMKGDRtw7tw5nDt3DrW1tZgxYwbuuecer+Vee+01fPfddwHXs3TpUnTt2rVJ6zx69CgWLVrU6PpIcFpiXx4+fBjbt2/HiRMncO3aNahUKmRnZ2P69Ono3Lmz1+PMZjM++OAD7Nq1C3q9HqmpqZgyZQqGDRsW+hfbzoVzX9JxGVotsS/PnTuHNWvW4MKFC6itrYVUKkWHDh1QUFCAkSNHej2OjsvQCee+pOMyNCioJ+2aXq/Hli1bkJGRgUGDBmHr1q1+l5s+fTpuv/12n9tfeOEFSCQSZGdnN3mdvPvvvx89evTwuq1jx47NeDU3t5bYl19//TX0ej0mTpyItLQ01NbWYtOmTZg/fz6ef/559OrVS1h2yZIlOH36NB544AF06NABO3bswNKlS+FyuTBixIiQv972LNz7EqDjMlRaYl8ajUbExcVh2LBhiI2NhcViwY4dO7Bs2TKUlZVh2rRpwrJ0XIZOuPclQMfljaKgnrRrCQkJWLduHRiGQU1NTcAvqeTkZCQnJ3vddvToUdTW1mLatGkQi8VNXicvJSWFsgwh0BL78uGHH0ZUVJTXsvn5+ZgzZw42btwoBIL79+/HoUOHMH/+fAwfPhwA0LNnT5SVlWH16tUYOnSo13pJw8K5L3l0XIZGS+zLHj16+AR2AwYMQGlpKTZv3iwEgnRchlY49yWPjssbQzX1pF1jGKbZcwN88803YBgGY8aMCdk6SfO1xL6sHwQCgEKhQHp6Oq5duybctnfvXigUCgwZMsRr2TFjxqCyshKnTp1q1nbdrMK5L0lotcS+DESj0XgFjHRchlY49yUJDcrUE+KH0WjE7t270atXLyQlJd3QulauXIlXX30VMpkMXbt2xbRp05CbmxuiLSWNaeq+NBqNOHv2LHr27CncVlRUhNTUVJ8foYyMDOH+bt26hXS7ia9Q7EseHZfhFcy+dLlccLvdMBgM2LVrFw4ePIg//OEPwv10XLYNodiXPDoubwwF9YT4sXPnTthsNowdO7bZ61AqlZg4cSLy8vKg1WpRUlKCTz/9FIsWLcLixYuRn58fwi0mgTR1X65cuRIWiwW//e1vhdv0er3fHyuNRiPcT1peKPYlHZdtQzD78u2338bmzZsBACzLYs6cOV613HRctg2h2Jd0XIYGBfWE+LF161ZoNBrccsstzV5HVlYWsrKyhL9zc3MxaNAgPPbYY1i9ejV9SbWSpuzLDz74ANu3b8cf/vAHn+43JPxCsS/puGwbgtmXU6dOxbhx41BTU4N9+/bhn//8JywWC+6+++5W3FLSmFDsSzouQ4OCekLqOX/+PM6cOYOJEydCIpGEdN1qtRr9+/fH119/DavVCplMFtL1E29N2Zfr1q3Dhg0b8Lvf/Q533nmn130ajcZv1o+/jc8MkpYTqn3pDx2XrSvYfZmQkICEhAQAQL9+/QAA77//PkaPHg2dTkfHZRsQqn3pDx2XTUcDZQmp55tvvgEAjBs3rkXW73a7AYAG27aCYPflunXr8OGHH+Kee+7xKtXgZWRk4PLly3A6nV63FxUVAaCWa60hVPsyEDouW09zv2NzcnLgdDpx9epVAHRctgWh2peB0HHZNBTUE+LBbrdj+/btyMnJaZEfBIPBgJ9++gmZmZmQSqUhXz+5Lth9uX79enz44YeYNm0aZsyY4XeZQYMGwWw2Y8+ePV63b9u2DTExMcjJyQnpthNvodyX/tBx2Xpu5Dv2yJEjEIlEQh09HZfhFcp96Q8dl01H5Tek3du/fz+sVivMZjMA4OLFi9i9ezcAoG/fvpDL5cKy//3vf6HX6/HAAw/c8DqXLl2K+Ph4ZGdnQ6vVori4GJs2bUJ1dTXmzp3bEi+13Qv1vty0aRPWrl2L/Px89OvXDydPnvS6n++X3K9fP/Tu3RsrVqyAyWRCcnIydu7ciQMHDmDevHnUmq0ZwrUv6bgMvVDvy7feegsKhQI5OTmIiopCbW0tdu/ejR9++AF33323UK5Bx2XohWtf0nEZGoybv7ZBSDv14IMPoqyszO9977zzDhITE4W/n3nmGZw8eRLvvfcelErlDa1z48aN2LVrF0pLS2E2m6HRaNC9e3dMmTKFMkjNFOp9uXDhQhw7dizg83355ZfCv81mM9asWeM1Hf3UqVNpOvpmCte+pOMy9EK9L7/99lt8++23uHTpEoxGI+RyOTp16oRx48Zh5MiRXsvScRla4dqXdFyGBgX1hBBCCCGERDiqqSeEEEIIISTCUVBPCCGEEEJIhKOgnhBCCCGEkAhHQT0hhBBCCCERjoJ6QgghhBBCIhwF9YQQQgghhEQ4CuoJIYQQQgiJcDSjLCHkhkyYMKFJyyckJOBf//oXSktLMXv2bOTl5eHvf/97C21d23Hp0iX8+OOPOHjwIIqLi1FdXQ21Wo1u3bph0qRJyM3NDWo9x44dw6JFi+B2u3Hbbbfh0Ucf9VmmsYmYnnvuOfTt29frtmD2Y8+ePfHSSy/53H7ixAls2LABv/76KxwOB9LS0lBQUIDRo0cHXNe1a9ewdu1aHDhwAHq9HvHx8Rg6dCh++9vfBpwS3mazYePGjdi5cyfKy8uh0WiQn5+Pe++9F3FxcY1uP+/bb7/F8uXLhb9VKhXWr1/vtYy/94NlWURFRSE3NxdTpkxBRkaGcF9j77k//GQ+/IQ/9Sf3qT8RkEgkglKphE6nQ1ZWFvLz8zF06NCA71dz8c/rOflaW2MwGDBjxgyv25YsWYIePXqEaYsICT8K6gkhN2TUqFE+t504cQIlJSXo1KkTOnXq5HWfVqttrU1rU5555hlUVFRAqVQiJycHXbt2xaVLl7B3717897//xYMPPohJkyY1uA673Y633nor6OccPHiw17TuvNjYWJ/b/O1H3v79+1FbW4vu3bv73Ld37168/PLLcLvdyM3NhVarxeHDh/H666/j/PnzmD17ts9jSkpK8OSTT6KmpgYdO3ZE9+7dcebMGWzYsAGHDx/GkiVLIJFIvB5js9nw9NNP48SJE4iJicHAgQNRVlaGb7/9Fj/99BOWLl2K5OTkYN4WAf/5lMlkAZfxfF9MJhPOnDmDHTt2YPfu3Xj++efRs2dPAEB+fj4SEhJ8XueJEycQFRWF/Px8n3X72zf+eO5Hk8mE0tJS7Nq1Czt37sS7776LJ554Av369QtqXe0Fy7LCvuG/bwi52VFQTwi5IX/+8599bnvttddQUlKCQYMG4Z577vH7uNjYWKxYsaLBgKo9SUtLw6xZszB48GCvgPXrr7/GihUr8H//93/o06cP0tPTA65jw4YNKC4uxtixY7F169ZGn/P3v/+9V+a3If72I8BlRH/44QcA8JrWnb9v+fLlcLlcWLhwIQYPHgwAqKqqwl/+8hd8/vnnGDBggBD48pYvX46amhpMmDABc+bMAQA4nU688sor2Lt3Lz766CPce++9Xo/56KOPcOLECXTt2hV/+9vfoFAoAACfffYZ/vWvf2H58uV4+eWXg3qtvIY+n7z674vD4cAbb7yB77//HqtWrcKbb74JAJg6darPY7/99lucOHECqampAd/fYPjbj1VVVdiwYQP+/e9/44UXXsCzzz7rc/WlPZPL5cJ7yn/fEHKzo5p6QkhYsCyLtLQ0n+xme/XCCy9g+PDhPhno22+/HX369IHL5cLu3bsDPv7ixYv45JNPMHbsWHTr1q2lN1ewe/du2O12dOnSBSkpKV73bd26FUajEQMHDhQCegCIjo7GrFmzAHBBt6dTp07h+PHjiIqKEpYBALFYjD/+8Y9gWRZfffUVHA6HcJ/D4cBXX30FAHj44YeFgB4AJk+ejIyMDBw/fhxnzpwJ3QsPgGVZ4UTgwoULMBgMLf6c/kRHR+Phhx/GfffdB5fLheXLl8Nut4dlWwghbQNl6gkhYRGopp6vd54xYwZGjhyJ9957D0eOHIHD4UC3bt3w4IMPIj09HU6nE5988gm2bduG8vJyxMXFYdKkSSgoKAj4fBs3bsTBgwdRWVkJpVKJvLw8TJ8+3adEqLV16tQJBw8eREVFhd/73W433nrrLahUKsycORM//vhjq23b999/D8A3Sw8A+/btAwDceuutPvf169cPUqkUhw8fhs1mE+q+f/rpJwBA//79fU5woqOj0b17dxw5cgQnTpwQ6qN/+eUXGI1GJCcnIysry+e5br31Vly4cAH79u1D586db+DVBicqKkr4t9PpbPHna8iUKVOwdetWlJWVYdeuXX73kz9OpxOffvopvvnmG1y7dg0xMTEYMWIEpk2b5nd5t9uNnTt34scff8TZs2dRUVEBkUiE1NRUjB49GrfffjtEout5wrfffhv/+c9/8Kc//Qnjx4/3u745c+agrKwMq1atEk7uL126hI8++ggnT55ERUUFFAoFYmNj0aNHD/zmN79BTExMM94lQm4OlKknhLRJpaWlmDdvHs6ePYu8vDwkJibiwIEDWLRoEaqqqvD3v/8dH3/8MRITE9GjRw+Ul5dj5cqV2LJli8+6jh8/jscffxxbtmyBXC7HwIEDkZKSgr1792L+/Pk4cuRIGF7hdVevXgXABbX+/Oc//8GJEyfw+9//HhqNJuj1fvPNN1ixYgVWrlyJL774wmvQZTDKysrwyy+/gGVZDB061Of+CxcuAIDfQFsikSA9PR02mw1XrlwRbj9//nzAx3jezi/n+e/MzMygH9OS+CsCWq0WOp2uVZ4zELFYLJxUHT16NOjHLV26FO+//z6qq6uRn5+PjIwMfPbZZ1iyZAncbrfP8na7Hf/4xz9w8OBB6HQ6DBgwADk5Obh48SJWrlzpNfAY4K5AAfB7PALAkSNHcPXqVfTu3VsI6M+cOYO5c+dix44d0Ol0uOWWW5CTkwOHw4EvvvjC63NECPFFmXpCSJv03XffYfLkyZg1axZEIhHcbjeWL1+Obdu24a9//StEIhFWrFghdD05fPgwnn76aXz00UdemUGTyYRXXnkFNpsNTz31lFdW+dChQ3j++eexbNkyrFq1yidz3BpKSkqE7PXAgQN97q+oqMD777+Pnj17NjiY1Z8NGzZ4/b169WpMmzYN06dPD+rxO3bsgNvtRt++fX0GOJtMJhiNRgAI2HkmLi4OZ86cQXl5uXA1pLy8vNHHeC7X3Me0BKPRiFOnTuGf//wnAP919OHAn+xcunQpqOX5gb5JSUl4+eWXhYHTV69excKFC3Ht2jWfx4jFYixcuNDnCktNTQ2ee+45fPfddxg7dizy8vIAABkZGejWrRtOnDiB8+fP+1wN44N9z2P1yy+/hM1m8xqfwbt06RJUKlVQr4+QmxVl6gkhbVJycjJmzpwpXNJnGAaTJ08GwP3Az5kzxyvI69WrFzIzM1FWVobS0lLh9m+++QZVVVW46667fMpEevfujTvuuAMVFRVCYN2anE4nXn/9ddjtdgwdOtRv6cjKlSths9nwxz/+Mej15ubmovD/t3e3MVWWfwDHv4fH4vCsGKH4MAzjwVgWNic5HpzKkhdZCRbNtV7EWhP7ZzZs09mirBcB1SRqK3tAK0EZjhjmsDHRE5ABtkNHebA8UIDjqRkHOOD/BbuPHM99DgdFDfx9trOx69zXfZ1zuF/87uv+Xb/rf//js88+o6ioiE8++YTnn38eFxcXCgsLKS0tdeo8jlJvBgcHLX/bW+ysVGyZeKzJZHLYR2m/kT7KcdMpJSXF8kpLS2P37t1cuXKFHTt2WK7HO0254XI2v7+8vByA5557zqoSUnBwsN30G1dXV5tF3gB+fn5s3boVwCYtbMOGDQA2i7oHBgbQ6XT4+/uzcuVKS3t/fz+AzcJqGF9oLqk3QjgmQb0Q4j8pOjoaV1dXq7bg4GBgfLGiMiM4kVLSsLe319JWX18PjFc6UaOUabxw4cLNf+gpKigoQK/XExwcrBq0nz59Gp1Ox9NPP82CBQucPm96ejoJCQkEBwfj6enJ/Pnz2bx5M2+++SYABw8eZGhoyOE5mpubLbOjEwOvqVBL41DaNBrNlM8zlT7TJTEx0fJas2YNDz74IAMDAxw4cGBK6S630lRahodiAAAJsklEQVR+H7PZjMFgwMXFRXUtxJo1axz2b21tpbi4mPz8fHJzc8nJyeGHH34AoKOjw+rYuLg4fHx8OHnypNX1VllZycjICElJSbi5XUsYUG5qc3JyOH/+PGNjY5N+HyHENZJ+I4T4T1Krpa7M/AYEBFgtylMoM7YTq4Aos/avvfaaw/EGBgYm/UwVFRXo9XqrNl9fX1588cVJ+17v0KFDlJeX4+/vz969e21y5f/9918KCgoICQmZtjSPFStWsHTpUpqbmzEYDKozooqffvoJGA/M1NKSJlagGRoawsvLy+YYJZCbeKzyt71Z9Zvp42zd96lQK0XZ0tJCVlYWe/bsYf/+/ZabzTtFuXa9vb0nPfaff/7BbDYTGBio+n/18vJCq9VaUqsUIyMj5ObmUlVVZffcE5+uAHh4eJCQkEBpaSnV1dWW9LHjx4+j0WhYt26d1fGbNm1Cr9dTU1NDTU0NWq2W8PBwYmNjSUpKUr3GhBDXSFAvhPhPcjTrOJUZW2W2b/Xq1Q5r4oeHh096Lr1eT2VlpVXbvHnzphzUl5WVcfDgQbRaLXv37rUpFQnjgWNPTw/z5s1jz549Vu8pTyJqamowGo3cf//9bNu2zamxQ0JCaG5upqenx+4xo6Ojltr08fHxqsdMDP4uX76sWl9fyc0OCgqytAUFBdHa2qqat+2oz8T3nOlzK4WFhbFhwwaOHj1KWVnZDd3UTafW1lYAh3scKNSenjijpKSEqqoqFi1axAsvvEBYWBje3t64ubnR3t5ORkaG6rmTk5MpLS3l+PHjJCYm0tTUxKVLl3jooYdsrnsvLy+ys7PR6/XU1tZy7tw5Ghoa+PXXXykqKmLfvn1T3mBMiLuJBPVCiFlt7ty5tLe3k5qaetOlK1999dWb2kQIxmfACwoK8PT0ZPfu3XYruii6urrsVq3p6emhp6fHZlbVESXveuJM+PUaGhosNxRRUVF2j1Pqw7e0tNgElGazmT///BN3d3fmz59vaV+yZImlLKIapX3x4sVWfeBa8OpMn1tN2QzKaDTetjHVjI6OWvY3UEqAOuLr64ubmxt9fX2MjIzYzNZPXAA9kU6nA+D1119n0aJFVu8p1ZvULFiwgOXLl3Pu3DmMRqNlgez1s/QKjUZDVFSU5brr7+/n008/paqqiq+++oo33nhj0u8oxN1KcuqFELNaTEwMcC0ouZPq6urIzc3F1dWVXbt2WfL51Sxfvpxjx46pvjIzM4HxhYjHjh3jww8/dGr8/v5+S/qQvZKScC31Jj4+3uFTkdjYWADVTbNqa2sZHh4mJibGUqN+Yp/a2lqbzZJ6e3vR6/VotVqr3yYiIgKtVstff/2lejOgjK+c+3ZQAtlbkfIzFUVFRXR3dzNnzhybijFq3NzcCA8PZ2xsjNOnT9u8rzyhuZ5yM6hWgejUqVMOx1QWzJaUlHDq1Cl8fHyc+qwwvhBX2ezrjz/+cKqPEHcrCeqFELNacnIyfn5+HD58mBMnTtikCJhMJiorK+2mdkwXvV5v2WRr586drFix4paM8/vvv9PY2GjzPTs7O8nOzsZkMvHYY4/ZLQ9pMpksN0D2Um8U69atw8vLi59//tkqQOzr6+OLL74AsKkQEx4eTkREBH19fRw4cMDSPjo6Sn5+PmazmY0bN1otoHR3d7dsKlZQUGCVW19SUsLFixeJjIx0KoVqOrS0tFhmnB999NHbMub1ent7KSgo4JtvvsHFxYXMzEynS7IqQXZhYaFVGlZXVxfffvutah8lVUapnKOorq62SUm73qpVq/Dz86OiooKhoSESEhJUP2t5ebnqrP8vv/wC3L70KiFmKkm/EULMat7e3uzatYu3336bvLw8Dh06xMKFC3F3d6e7uxuj0YjJZCIvL89uoDsd3nrrLYaHh7nvvvvQ6XSqTw4iIyNVd9+cCqPRSF5eHoGBgYSEhBAQEMDly5dpaWlheHiYhQsX8sorr9jtr9PpGBwc5IEHHiA0NNThWD4+Pmzbto3333+fffv2ER0dja+vL/X19Vy5coWUlBTLk5KJtm/fzo4dOygtLaWxsZHQ0FAuXLjA33//zbJly9i8ebNNn9TUVBoaGmhqauKll14iMjKS7u5uDAYDPj4+lqcX0y0nJ8fyt9lstow5NjbGypUrnd7B1Rn2nop8/vnnVuVBOzs7uXjxImNjYwQEBLB9+3Yefvhhp8eJj4/nzJkznDlzhoyMDGJiYrh69SoNDQ1ER0ej0Whsav4/9dRTnD17li+//JLq6mpCQkLo6OigubmZJ598kqNHj9odz93dnbVr11JcXAzYT70pLy9n//79hIaGEhoaiqurK+3t7bS2tuLh4cGWLVuc/o5C3I0kqBdCzHqRkZF89NFHlJSUUFdXR2NjI66urgQGBhIbG8uqVasmDWBvlpKn3NnZaVVH/3o3G9QvW7aM5ORkzp8/z6VLl2hqauKee+5hyZIlxMXFkZyc7HDB8MTUG2esXr2ad999l++++w6DwYDZbCY0NJQnnniCtWvXqvYJCQkhLy+PwsJCzp49i9FoJCgoiNTUVJ555hmrdB2Fh4cH2dnZHD58mKqqKnQ6Hd7e3iQmJpKenn7LZnEnzkK7uLig1WqJiooiISGBpKQk1SpMUzU8PAzYT+VRnoK4uLhw77334u/vT1xcHI888ghxcXGqv5cjGo2GnTt3cuTIEX788Ufq6uoIDAxk48aNPPvss2RkZNj0iY6O5r333uPrr7+mtbWV9vZ2Fi9eTFZWFmFhYQ6DehivPV9cXExERIRNTr4iPT0dnU6HwWCgoaEBs9nM3LlzWb9+PZs2bVJdUC6EuEZz9UaXwgshhBAz0IkTJ8jLy2PLli2WfO07ZXBwkNTUVDw9Pfn+++/vSC3+2+Hjjz+moqKCzMxMuzd7NyonJ4fKykreeecdpxYLCzFbyUy9EEKIu5JOp6OzsxNPT09efvnlO/IZysrKuHr1qiXtZTbq6uri5MmT+Pr68vjjj0/LOU0mE/n5+QA0NTVNyzmFmOkkqBdCCHFXamtro62tDa1We9uD+g8++ICOjg4MBgNubm6q6whmuiNHjtDW1kZ9fT3Dw8Ns3brVYerXVJjN5kkX6Apxt5H0GyGEEOI2S0lJwcvLi6VLl5KWljYr00aysrL47bffmDNnDuvXryctLW3WPo0Q4r9AgnohhBBCCCFmOKlTL4QQQgghxAwnQb0QQgghhBAznAT1QgghhBBCzHAS1AshhBBCCDHDSVAvhBBCCCHEDCdBvRBCCCGEEDOcBPVCCCGEEELMcBLUCyGEEEIIMcNJUC+EEEIIIcQM938X9T5mv6rwawAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "bkg = np.median(pixels, axis=1)\n", "bkg -= np.percentile(bkg, 5)\n", "\n", "npix = aper.sum()\n", "median_subtracted_lc = raw_lc - npix * bkg\n", "\n", "ax = median_subtracted_lc.plot(label='Median background subtraction')\n", "corrected_lc.plot(ax=ax, label='RegressionCorrector');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Lastly, lets show how you can do all of the above in a single cell." ] }, { "cell_type": "code", "execution_count": 62, "metadata": {}, "outputs": [], "source": [ "# Make an aperture mask and a raw light curve\n", "aper = tpf.create_threshold_mask()\n", "raw_lc = tpf.to_lightcurve(aperture_mask=aper)\n", "\n", "# Make a design matrix and pass it to a linear regression corrector\n", "dm = lk.DesignMatrix(tpf.flux[:, ~aper], name='pixels').pca(5).append_constant()\n", "rc = lk.RegressionCorrector(raw_lc)\n", "corrected_lc = rc.correct(dm)\n", "\n", "# Optional: Remove the scattered light, allowing for the large offset from scattered light\n", "corrected_lc = raw_lc - rc.model_lc + np.percentile(rc.model_lc.flux, 5)" ] }, { "cell_type": "code", "execution_count": 63, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = raw_lc.plot(label='Raw light curve')\n", "corrected_lc.plot(ax=ax, label='Corrected light curve');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## 2. Using `RegressionCorrector` on TESS 2-minute cadence Target Pixel Files\n", "\n", "*TESS* releases high time resolution TPFs of interesting targets. These higher time resolution TPFs have background removed for users by the pipeline. However, there are still common trends in TPF pixels that are not due to scattered light, e.g. from spacecraft motion.\n", "\n", "`RegressionCorrector` can be used in exactly the same way to remove these common trends." ] }, { "cell_type": "code", "execution_count": 64, "metadata": {}, "outputs": [], "source": [ "# Download a 2-minute cadence Target Pixel File (TPF)\n", "tpf_2min = lk.search_targetpixelfile(target_name, mission='tess', sector=15).download()" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "TessTargetPixelFile(TICID: 185336364)" ] }, "execution_count": 65, "metadata": {}, "output_type": "execute_result" } ], "source": [ "tpf_2min" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note, unlike the FFI data, the TPF has been processed by the pipeline, and includes an aperture mask." ] }, { "cell_type": "code", "execution_count": 67, "metadata": {}, "outputs": [], "source": [ "# Use the pipeline aperture and a raw light curve\n", "aper = tpf_2min.pipeline_mask\n", "raw_lc = tpf_2min.to_lightcurve()\n", "\n", "# Make a design matrix\n", "dm = lk.DesignMatrix(tpf_2min.flux[:, ~aper], name='pixels').pca(5).append_constant()\n", "\n", "# Regression Corrector Object\n", "reg = lk.RegressionCorrector(raw_lc)\n", "corrected_lc = reg.correct(dm)" ] }, { "cell_type": "code", "execution_count": 68, "metadata": {}, "outputs": [ { "data": { "image/png": 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z2XD33Xejvr4eDz74IJYvX66bT0CTmpqKRx99FNOnT8emTZuwatUqvPzyyzpv/JVXXom5c+fizTffxJNPPgmfz4ef/OQnUbUpKysLkyZNQlNTEzf96vTp07Fq1SrU1tZi9erV+P3vf4/NmzcjPz8f2dnZUZ1LIBAIBImP8Lf3P4Snvhc5E1JaLlq0yLBQE2HFihW632fMmIEZM2botvHSkE6ZMgVbtmzRbRs0aBBef/11S20aOnSo4fjHH3/cUO7iiy/GxRdfrP3+ySefQFEULR++2XFjx4411H/RRRfhoosustS+gQMHYtmyZdp8A5aUlBTceuutuPXWW3Xb6XvHu0YWeqEtHpMnT8bkyZMttVkgEAgEiUc03vq+8rcni/8/GRGivhc5U1JaJitr167FxIkTkZWVhePHj+OVV17B6NGjNR+/QCAQCKJHiDjrdPde9YVQj7bNvDaKdyQ+CPtNEnLVVVfFtVy0ZfsrHR0d+J//+R/89re/xcsvv4xJkybhd7/7nWF0RSAQCATW6W+TOFnbSjxtLFbuFX0+r9cbt3OzdfN+5xFNm8nE3ljqiIYz1Vok1EoSYrU3G02vV/SQgXvvvRcvvvgiNm/ejJdeegkrVqzA4MGD+7pZAoFAkBDQQimZRVN3284KUPb3np68Sp+PzbJGzs27xlgEerzENqmntyb29reOpFWEqBcIBAKBQBCRvkrbGG+ijYZHi1k0ujcIl+Iy3HVHiqQLkgMh6gUCgUAgEAgo4tVp6e6oQDxHRFjB7nK5UFFRgYqKirhF0iO118r6LdGcJ5lHjHoCIeoFAoFAIBD0S+Il+p588smYjovUOTBrH9m+ceNG03Lhro1nw2EFe0NDAyorK7ltjHTfzPaXlZXp6meJ1xwA0ma27We6yBeivhdZvny5lrqQ/HvjjTf6ulkCgUAgSHDiIVbORMFTWVkZl7kA27Zti1gmlrrNRD9pNxHi0dppyKKBpMzPf/5zS+0hopuum4hz+vrY+8qWBfpmYaxktoXFAyHqe5HS0lKsXbtW92/27Nl93SyBQCAQJDjxECtnquCJdS5AtNHxsrIyw/7uCNvKykpuZNuK7509bt++fZbOSdtjyLXU1tZq7WHbx5bltVesett7CFGfhJTvq4truWjLCgQCgUCQbEQbSY82Ok7sLPT5rAhw2h9OfO4EIrL//e9/a2ViXduG9bPTApycV1EUbVtlZSVcLhdXqFdXV+t+J9fNniPcPYjmeZyJo0yxIER9ElK+36Kot1gu2rJW2Lt3L1atWoVFixZh7ty5uPXWW7F27VqcOHEirufpSbZu3Yr33nsvrnU+9NBDeOCBB8KWefnllzF//nzt9/r6esyZMwe7d++O6lxWjztw4ABeffXVqOoWCARnBskipuKVT52GF2GOJjuM1fMRK0tlZaXWMWBFc2dnJyoqKrBx48aYJ5uy4pyup7a2FmVlZVAURXcvza6XtdmQe0V3Csi1mWElG4+VslbrOBMQol4Qd8rKyvDQQw/B6XTi5z//OR555BH85Cc/QV1dHR588MG+bp5ltm3bhh07dvR1M5CTk4PVq1fj/PPP75H6Dxw4gE2bNvVI3QKBIHaiFSWxiphwkzWTRUzFo53s7zxBywp92vfenXOz7eedu7KyMqYoPTungEz6pQW4z+cLmw4zXN0NDQ2ah5/UGekdiDTxWNjNYkOIekFc+fe//41XX30V8+fPx8qVK3HJJZeguLgYM2bMwKOPPoqf/exn3T6HWZQi3ivrJQqpqakYN24cMjMz+7opPUq8Up0JBH1JvARtLII6VhFDMqx0tz5y7WaTKHuTaCL3dLujZePGjVFF783OxdahKIqhs1BdXQ232x1V+1hLUGVlpTbpl42qk+9Q+rwdHR2GcuQaqqurNd+/1+s1TKTl2XsI0U48NltUK9xiW1bo6/c03ghRL4grmzdvRnZ2NhYtWsTdP3XqVO1nRVHw6quv4rbbbsPcuXOxdOlS/OMf/9CVJ1aUw4cP45577sG8efPwz3/+U7OWbN26Ff/93/+NRYsWYfny5dpxe/bswYoVK3D99dfjxz/+MdauXQuPx6Oru729HevWrcP/+3//D3PnzsVtt92GF198EQDwwAMP4ODBg9i7dy/mzJmDOXPm4OWXX46q/pqaGtx///2YN28efvrTn2L79u0x3VOejaarqwvr1q3DwoULsWDBAvzxj3/Etm3bMGfOHNTX1+uO9/l8+POf/4wbb7wRN998M1544QXIsqzd3/Lycng8Hu06I9mDvvzyS/zmN7/BDTfcgBtuuAErVqzA/v37AQSi/nPmzMFXX32lO4a1HZk91yVLlmDdunWGc77wwgu4+eabtXZ3dXVhw4YNuPXWWzF37lzccccdcbdKCQSxYCYM4+HnjhfhhFF3RE4iLE4Vi0CPtq28DC9WvfNm56KFtMvlgqIohjobGhp0ApvNSkP/n5RzuVymbVNVFVVVVdq5SWCFlG9oaIDP5zO11JBypAydzpKuz+v14ujRo1GvvMvLwMPm029oaNDua7h312xff4vm2/u6AWcSy5cvh82m70fNnj27x2wVvY0sy/jiiy9w8cUXw26P/GqtX78er7/+OubPn4/zzjsPn3zyCf7yl7/A7Xbjxhtv1Mr5/X48/fTTuPbaa7F48WIMHDhQ27dhwwZMnToV99xzj/aHZ/fu3XjqqadwxRVXYNGiRWhubsaLL76I9vZ2/OpXvwIQEIW//vWv4XK5sHDhQowcORKNjY34/PPPAQB33HEHnnnmGTidTtx6660AgNzcXMv1+3w+/Pa3v4XT6dQ6Gxs3boTb7cbZZ5/d3VuNF198ERUVFfjxj3+M0aNHY9euXabRtrKyMnz3u9/Ffffdhy+++ALl5eU4++yzcfXVV+PKK69EY2MjduzYgUcffRQAkJGRYXrezz//HL/+9a9x7rnn4q677sKAAQNQVVUV0yqEvOfa3t6Od955B0uWLEFKSgqAwBfPrl27MH36dG3bk08+ic8//xw33ngjRowYgb1796K0tBQDBw7EhRdeGHVbBIKehIiOWbNm9UjdvHrNtgMwbUtZWRny8/O1fS6XC/n5+dy6Ewk2QtwT95mGRJ1nzZoFn88Hh8OhiUwysZS15YQT9PTfT9oGQx9LQwt2RVEMOdsrKyu1AIjX69W1o6GhAR0dHdrvjY2N8Hq98Pv9Bn0Sja1IlmVdu9lr8vv9hnobGhqQn59v6X1iR+Lp+smEXl4ngC7T0+9FIiBEfS9SWlrKFUyxzmRPNFpbW+Hz+TTxG46Wlhb885//xHXXXYef/OQnAIALLrgAnZ2d+L//+z9ce+21SE9PBxAQfzfffDOmT5+uHU+i0WPGjMGdd96pbVdVFX/9618xffp0/OIXv9C2Z2dn4+GHH8aCBQswcuRIbN++HUeOHMHq1asxbtw4rdwVV1wBADjnnHOQkZGBtLQ03X6r9W/btg1NTU147rnnNBFfWFiIZcuWdVvUt7W14a233sKCBQvwox/9SLt3DzzwABobGw3li4qKNNvT5MmT8cknn2D37t24+uqrkZubi9zcXNhsNt11mvG///u/GDZsGB599FFNYF9wwQUxXQfvuUqShE2bNuGzzz7D5MmTAQCHDh1CY2MjSkpKAACfffYZ/vWvf+Ghhx7Szj158mScOnUKL7/8shD1goQjlmigmaDm1U2LFSI2YxExtbW1unMS0cU7JytY+1IwsTYaq5iJVlKPz+czvTZyf71eLxwOh7a9rq4OPp9Pm/RKl29oaICqqgY/eU1NDZxOJwDo6jOLgNOTWdkoOovP59PqJtfs9Xp1bevo6ICqqlAUBaqqhq2PbYcZtbW13NEGIPBeeb1erV308zN7j9hRBJ7Ip9/V7qTR7Ov3uTskpf3myJEjeOihh3DLLbfg+uuvx8KFC3HPPffg3XffNZR1u914/vnnsXjxYsybNw+/+MUvsHPnTkO5//qv/9LsB7x/X375JYCQvSBcmTMdSZIiljl8+DD8fj8uvfRS3fbLLrsMHo8HR44c0W03E2rs9rq6OrhcLkyfPh2yLGv/iouLIUkSqqqqAACffvopRowYYUnIxlL/f/7zH5xzzjk6AV9QUICRI0dGdT4eR48ehc/nw3e/+13ddvZ3AhHHhHPOOYcr/iPh8Xjwn//8B1dccYUm6LsL+/wKCwsxcuRIvP/++9q2nTt3YujQodqz2r9/PzIzMzFx4kTdM5g4cSKOHDmiRagEgkQg1qh2tKNf3fGFE1gLIRFS7DWQ0Tmr/vCehLSBjdTyyvFWVOVB6vF6vWFtHRUVFboINDmGiF1WeLpcLtTW1ur85FVVVYb7TiLpbrfbEAEnrF27VjcPqaGhwVTIknbQIvzrr7/Wfib1EEFPt1tVVZ3Qp++FmSe/oqJCuw9kNIG0kfzMinQgcueMfobsPYsE7emPtIpvMltykjJS39HRgdzcXJSUlGDIkCHweDzYsWMHSktL4XK5sGDBAq3sY489hq+++gqLFy/G8OHDsWPHDqxevRqKouB73/ueVu7GG2/E1VdfbTjXI488gtTUVIwdO1a3/eabb8aECRN02+Ih2JKZrKwsOBwOS3/Q29vbAQCDBw/Wbc/OzgYQiEYTnE4n0tLSuPUMGjRI93trayuAwHPnQcRsW1sbcnJyIraTxWr9zc3N2rXQZGdnG74EoqW5uRlA4H6zdfOg7UoAYLfb0dXVFfV5yYSpWO4bD7PnWlJSgtdeew133HEHbDYbPvjgA1x55ZXa/tbWVrS1teG6667j1tvc3GxptEgg6A16SyDwzkMijmzk0exvNJ25ZNasWdqkTDbq39jYiMzMTFMx73K5kJeXx20LELDP3XfffdFeIhfa3x1uZKOsrCxiGTNRTE/6pAVvWVmZTvASIUvuo8fj0YJcJELOJgRobGw0iGNShrbQsLD+epfLBZ/Px/3bTupjs92QbWx0njcZlxa87JwC+npVVcXGjRt155JlGZIk6coSyLnpe8/m+ifvDT1iQXec6PfO7PmSCcNmo1g9aZHrTZJS1E+YMMEgqKdOnYr6+npUVFRoon7v3r345JNPcM899+Cyyy4DAJx//vlwuVxYv349Lr30Ui3iOGzYMAwbNkxX54EDB9Da2ooFCxYYIpNnn3121FHe/k5KSormjff7/WF99SSTS3NzM4YMGaJtP336tG4/ED7yz+4jx91+++0oKioylCeCNDMzE0ePHo1wRebtjlT/4MGDDXmGgcD1sSI7WkhHqLW1lXvveooBAwbAZrOhqanJtExqaioAGDou7e3thvfB7LmWlJSgrKwM+/btQ2pqKlpaWrTPLxB4BoMGDcKqVau4x7MdPYGgr+ClTLQqGmLJBtXQ0KAT06yIISOJrHWGhYiqSNYOuiwQ3kpKC6a33norbqI+HGb51ulRBrpsbW2taRTX4/GgoqLCEB0HoFlJfD6fJmCBgJglgpxMOgX0vnleVJ8V2byotCzLWhSdbgcr6kl7yHloPz19fnYbscgQ6Amq5Hyqqmo2G3IuIPAekM4C7z2mO0hEhNOTfun3mLw3rJVHVVXtebAefV66TLocCz3fIdYUpYlCUtpvzMjMzNSJ7w8//BDp6ek6zy4AzJw5E01NTTh8+HDY+t555x1IkoSZM2f2SHv7I9dddx1Onz6NV155hbv/448/BgCMHTsWdrsdu3bt0u1///33kZaWhjFjxsR0/oKCAuTm5uLkyZMYO3as4R8RwRMnTkRNTU1YyxQvom21/qKiIhw/fhzffPONdmxtbS2OHTsW03XRFBYWwuFw4KOPPtJtZ3+3itXIfVpaGs4991xs377d1OJCIuT0l/vp06ej6kCdddZZOPfcc7Fz507s2LFDs+QQJk6ciJaWFtjtdu4zIB0LgaCniWStYSPZ0UTtWd9zJHj2CzaNIM92x/q1CXRbrYicioqKsJYIWrRFm5bRCqxYZVM5AiExWVNTw302brfb9BnJsmzo7NAinYbnSyeTRWVZhqIomv2FjnKbPW/27y3xvxO+/vprnQCn77WiKFoHgL4H5HczD/3XX3/NFeS1tbWG6+JdK6mXftbk3OSYzs5OANA6m4Bxvgb5mfed86c//cnQKWpoaNDZm8j7T169HPMAACAASURBVD5PPAsOm7WpN+1j8SYpI/UE0hNsb2/Hrl27sH//fl0e9GPHjqGgoMAQZS8sLNT2f/vb3+bW3dHRgd27d2PixIk466yzDPv//Oc/46mnnoLT6cS4ceOwYMECjB8/Pmx7yQvM4vF4tCE70qtmZ6EnC9/5zndwww034G9/+xtqampQUlKC7OxsuFwuvPvuu6irq8PUqVMxaNAg/PCHP8TmzZuRmpqKb3/72/jss89QUVGBRYsWmdptIiFJEm677TY8/fTT8Hg8mDJlCpxOJxoaGrBnzx7cfPPNGD58OGbMmIE333wTDz/8sJb95tSpUzh06JA28XbEiBHYvn07Pv74YwwePBg5OTkYMmSIpfqvuOIK/O1vf8PDDz+Mm266SRuSZO1GsZCZmYmrr74ar776KhwOB0aNGoVdu3Zpk4etzGmgGTFiBGRZxuuvv45x48YhIyMDBQUF3LKLFy/Ggw8+iN/85jf4wQ9+gIEDB6K6uhpZWVn4/ve/j9zcXJx77rkoLy/XIvt///vfw2bU4UGi9SkpKbj++ut1+yZPnoypU6fid7/7HebNm4fCwkJ4vV4cO3YMJ06c0E1gFgh6EivD9VYnvPKi+NHk4DZb/TSST9mKgCFiqKGhwXTRoMrKSm7Ul/a8hyvXXWiPNom2shYgMxFOYNslyzL3+Zl55lk7DFuW9qfTZYlIZwWzVdjsMiSo8qc//UlXLppJsF6v1xAgIaMN9MRb3rOkBTj5WVVVrdNHMu2oqgqXy4XGxkbYbDYMGDBAO47c93D3hLYukXaxnwM60u/z+bBx40bk5eVxP7vsSFcyktSi/rnnntP+YNjtdixdulTni29ra+MKcmKhoH3bLDt37oTP58P3v/993faMjAxcc801KC4uRlZWFk6cOIHXXnsNK1euxKpVq8JmArnllltM92VlZaGmpgY+n08Tj8nKTTfdhHHjxmHLli1Ys2YN3G43cnJyMGnSJCxZskQrd8stt2DgwIF4++238fe//x15eXm49dZbTb3SVpk+fToGDBiAV199Vctdnp+fjwsuuEDznaempuLRRx/Fhg0bsGnTJrS1tWnzNAjXX389Tpw4gdLSUnR0dGDhwoVYtGiRpfqdTicefvhhPPfcc3j66acxZMgQ3Hjjjdi9e3fUE3x4LF68GLIsY9OmTVBVFdOmTcPcuXPx/PPP6/4wWmHq1Kn4wQ9+gE2bNqGlpQXjx4/H448/zi07fvx4PPbYY9i4cSOeffZZ2Gw2nHPOObjpppu0MitWrMCaNWvw7LPPYvDgwbjpppuwffv2qK770ksvxQsvvABFUQyTqQHg/vvvx9///ne8+eabcLlcGDBgAEaOHKllLxII4kl3smGY+bhJncRfTkQG71y86CHPl07SFxIBDoTEkdUMMWbChkRQzRYNYrOp0MfR1wxEJy6joaqqSpvcygp3kraR3RYOYvkw65QRQakoCrxer07Mkvshy7IubzzNk08+qYuYu93usAE9tv30sbQ3nkTH2TVLooU9H7HV0PAi6GadNrqN5DjaOjRgwABD3n9iezKD7iR1dHTovv/od4A8I9LZc7lchg4qryOYbCS1qJ8/fz6uvPJKtLS04OOPP8a6devg8Xgwb968btf99ttvIzMzExdddJFu+5gxY3TWkPHjx2PatGm46667sH79+rCifv369dyIZV1dHdasWYMRI0agoKAg6khrIjJlyhRMmTIlbBmbzYYFCxboJjazLFq0iLuQ1dChQ7FlyxbT4yZPnmzI+sIycOBALFu2DMuWLePuHzJkiKlv20r9I0eOxBNPPKHbZsXKxV4z71pTU1Pxs5/9TDcy9cwzzyA/P1/7o2Z2j26//Xbcfvvt2u8pKSm44447cMcdd0RsGwB8+9vf1nLa8yApL2lYYW72XAmDBw82LERGk5qaioULF2LhwoWW2iwQdAdamJqJ+2iFPxHx27Zt04nzsrIyXT1EeNTU1OjOQY6rrq7WpWAk0XmSJpEWpbIsG9azoFMLksgpDf07KcsTcnQ54l9mxRiJkvYUjY2NutSQQEActrS0aJM4acwi9iT1JP07/X8CLerDzYEwG5148803DfWF6/BY3Ue3qzvw7hd59rHUbdZ+dtIrec/IZOBItjWS+pN0DMg2OhsP2+a6ujo0NDRwHRbJvDp9cno8guTn52Ps2LG48MILsWzZMlx11VXYsGEDWlpaAAQi8rxoPNlGT8ak+frrr1FVVYXLL7/ckj934MCBmDJlCo4ePRr2ZcjIyOD+S0tLg81mg81mQ0pKStJabwS9x4EDB/Dqq69i37592Lt3L5577jns2LED11xzTV83TSDol5SVlYUVF7x9tFcY4E/QpMUn/X8CiYyT3OcsRMSz3z08kakoimbNIJ0FM980GzEl2VVIPWzWERoygZKMMJByNTU1PepXJu2iIfYOWtApimJ4NuwxdDvJPSNWECsjDXQ7Dhw4wC3D8+L3hDUpXpDIPTsq0V14cxTIaE+4e03aQ/v2yXHsJF/63rKTgFlimaSeKPQr9VhUVARZlnHy5EkAAe98bW2t4eUjkxXNUlC+8847AKBLoxcJ8uL1RpR94eThcS0XbVlB35Oeno49e/bgqaeewqOPPopPP/0Ut912G6699tq+bppA0C+xIkZZwc5OTGVzqdPZVCJlpKH3kTzgdDk6WgmYR1KJYNq2bZvOfkD/7PV6tQWJCOz1+3w+Tezy7g19XaScx+OJap5AtLDCnbSDZxkhz4a0g2QrI5F9Ap2Gkp2MS1BV1RCMo+2GdH30MYks4HmQ9yEeFlJevSRbUKSRD/Y4XqpOdjtdnl1hN9xnO9FWT45EUttvWD777DPYbDbNRz9t2jRUVlbigw8+0A3/b9u2DTk5OdyUhF1dXXjvvfdQVFRkOe98e3s79uzZg9GjR+tWluspFl5gUdRbLBdtWUHf861vfQurV6/u62YIBAKY5/DmQe83yzxDttPWGCAgRtauXYsxY8ZokXtWyNLRdNZjTPD5fLDb7di2bZvWEXjrrbe0fYqicNfTMDsXgaQZpK+VrG/hdDp1x8czJzidYpFNr+h2u3W2FnoCq81mQ1lZGVpbW7XtLpdLFwikOwXhosZWvOYsybRQHv3exrPdrAgniUPM7jVP7PPK0usF8CDvN3nueXl53Oh9suWuT0pRv2bNGqSnp6OoqAjZ2dlobW3F7t278f7772PevHlanuoLL7wQkyZNwtq1a9HZ2Ylhw4Zh586d2LdvH1asWMFdFfOjjz5CW1sbFi9ezD336tWrkZeXh7FjxyIrKwvffPMNNm/ejNOnT+OXv/xlj163QCAQCBIDs5R4JCptFuGjbS1mHQCync000tDQgLa2Nt28LjPhoqoqN4MJwePxaP54WiixIphALBfhFi0CQvdClmVUVVXpFlDqqQmytbW13Kgt8WTT562rq9PK2Ww2LTJvtjpqOHFo9Xp66rp7k//85z89Ui8rpOk8/wTymeEt3mVWJ/3ceZ8zdtEwILltN4SkFPXjxo3D1q1bsX37dnR0dCAtLQ2jRo3C8uXLcfnll+vKrly5EmVlZXjppZfQ1taGgoIC3HvvvbosJzRvv/020tLSuBk3gIClZ9euXVqu3czMTJx33nlYvnw5N/IvEAgEgsSiO9lsCGwedzIZlQgDM/89sXCwPnSetYNnJzH7nRApwwsRO2y0lfzOiioS7SfXRdfHsz0QrzoRw5Ik6RYhYucQdBeeP5r2+vM6J0BI1PHsOUDIYsJ2Csyi1MlmpYmWnuqYWFkjhaxzYlV003nyAfPPmlUxH4+/F71FUor6mTNnWl4QKj09HUuXLsXSpUstlX/kkUfC7p8/fz7mz59vqS6W5cuXG3x3s2fPxqRJkwAk11CcQJBskM+XmIguiOeQOkkfmZ+fr0WGacJNYKX3mU1spX+mc7GzlhD693CLRZmtIMrmTafbZbfbw4pWn8+nTVbkLXAFhDobvDkE3YE3SZcs7BQJYj1SVdUQHY4k3tnziu/v+EF3uOj/k/c0Gp877z0j9ZGOG/udwL7ryWTBSUpRn6yUlpZyU1qSRamOHDmiLYwlEAjiy5EjRwAgLguACc5MeNFlNmJP8pITwq026vF4DIKCRMbNLDCKohiESkNDgy7CHm0UPFKUmRfNpq0NpF3h6iLlrURmo4E3wkE6SzyPNC2+eR0Zq+kMk3nV0WSBfbbkM8GmZaVhPzNHjx41zCuhJ+ayi326XC6t45AsQp5GiPoEICMjA9OmTdNyio8ePZrr9xcIBNEjyzKOHDmCLVu2YNq0aVGvbis4c+B9kdMCnV7dkl2k6cCBA5o4IEKf+LZJeRZ6P8Hn82HAgAE6Lzqgj8gTewGxupDINM8iwS7ywytjJf+5WRm2g9HbNpRI8wZYWCHPRtjp9IiCvoV993jZayLBdtJ4nTbSUVYURZtzwYvOJ4PQF6I+QSCWnnALKgkEgtiZNm1azNY5wZkBWfiJ/vImK6kCIUFQUVFhWH2ypaXF0GEkop3Ne86urFpRUaETzXSEkidMSTtIu8J5gklO9tbWVtN6ooEVwXSUHjCK/76cJBqLJcZsRIIlmRcoOtOgn5VZR6+uro67zgHdeU8GG44Q9QkCWV11zpw5aG5u7veTbgSC3sJms2Hw4MEiQi+ICBHe7Jd3bW2tZm2pqKjQWW7oRYxozzst+NnJnPRiUbwVM80mo5pN2mSFJ2tbOHnyJOx249e91YmHPMsKmQDr8Xi4GUv6O/HO1S6IH7x0rASzjp5Zdia2857oCFGfYJBVZgUCgUCQGNDed5KLngjixsZGZGZmGrJtECHAWwSpqqpKO56kfjSDnvhqNdjDRht5NpNo6gtXzqxj0dP0tRVCTIxNXLrzLvLedZfLlTSLUAlRLxAIBAJBGGRZNkymoyPt4SLeRPwpiqL9fPLkSV199fX1Yc8fzg9vFZ5YSWZhWllZiU8//bSvmyHoA3hWsu7Ajn5JkoSqqipNyDc0NJimqE00hKjvRcxSWs6ePbuPWiQQCAT9k2giuVbK8ia1AqGl7SNBC2h65VNSNwA8+eST3GMTcVGcRFhQadu2bQDC2y0E/Y+eeN5sp/fkyZOaTc7pdGqjZX09QhQJIep7EbOUlgKBQCCIL9FMarNSlnzpV1dXo6WlhbuP/J+3wBELTxS/+eab3HPzFpDqD8RLICVCB0OQnNDpLdltQGhVZ7P5NomGWIVFIBAIBP2aePhhSXS9vr4esizr8sXTq7ECAQ8+7ZO3miaRrFkSiWS2zRC8Xm+3LQ0iA42gJ6murgYQeM+S5V0Tol4gEAgE/RoiHp988kmuwOflvTbrCNCCmnzp88rQK6taFeGqqobNNd+fsNqBCYfIQCPoSerr67U5M4logeMhRL1AIBAI+hUkjzzLtm3bNIFPi/aGhgaDiLcSRQ7n7Y2nRaa/2G1o6Kw+0VJRUaGtoisQ9BRkRI78AxJ/JWEh6gUCgUDQr6isrERtbS0qKio0AQgEhtFpbywR8l6vF2VlZdy6wqWbDIcQnJGxIpB4Iyb0gmACQU9CbHfk85zo750Q9QKBQCDod3g8HlRWVuoEoM/n030pk2i8z+czFZgnT57kbheTM3uHZEklKOj/tLa2JrwNR2S/6UVESkuBQCDoHXjD5eFsLGQiHJtWkhbvQsgLBGce5HPv9/stT3rvK4So70VESkuBQCDoPVwuF2pra+F0OgEYF4oiXnpFUbRJl2+99RYmT57cJ+0VCASJTaLb6oT9RiAQCARJS7h0lQ0NDZqIp/3zBJfLhbKyMm1CHLuQlNliUAKBQJCICFEvEAgEgqQlnOeajspv3LhRt5Kry+XSTZylaWhogMvl0lYsFQgEgmRA2G8EAoFA0C9ho/KA3mtPVotkSfQMFwKBQMBDROrPEMr31fV1EwQCgaBHMLPgmE2M5UXn2aXhAbFiaU8Ty/2lU5QKBAI9QtSfIZTvF6JeIBD0T9gFpYjoI6KeTUNHR+JZYakoipbhItHT1yU7sdxfkaNe0NeEm8fT1wj7TS8iUloKBAJBz1FZWYlZs2ahtrZWt93r9cLhcBi2AUZhKcsyJEkSgj6B8Xq9XNuUQNAbbNy4EbNmzerrZnARor4XESktBQKBIL64XC7k5+frtkWydfh8PnR2dsJut3MtOqqqwuv1Jnz6uv5ARUVF1AJJdLgEfUlNTU1fN8GUpBP1R44cQVlZGY4ePYrW1lY4HA4MHz4cs2fPxuWXX64r63a7sXHjRuzatQttbW0oKCjAj370I5SUlOjKHThwACtXruSeb/Xq1Rg3blzUdQoEAoGg52loaNCJejI0rqoqJEniHuP1eg3Lv/MIt1iVoPsoiqKNrkQLWVdAIOhtErlTmXSivqOjA7m5uSgpKcGQIUPg8XiwY8cOlJaWwuVyYcGCBVrZxx57DF999RUWL16M4cOHY8eOHVi9ejUURcH3vvc9Q90333wzJkyYoNs2cuRI3e/R1ikQCASCnoUsIgUAZWVlun2Kouhsj/SEWBGJ71u6c/9Fh0sgMJJ0on7ChAkG4T116lTU19ejoqJCE/V79+7FJ598gnvuuQeXXXYZAOD888+Hy+XC+vXrcemllyIlJUVXz9lnn62LyrPEUqdAIBAIehaXy6VNlqUzo5BoPDuXSYj5xCMWG45A0F2a8oqR03Cwr5sRN/pN9pvMzEydoP7www+Rnp6O6dOn68rNnDkTTU1NOHz4cNTn6Ik6BQKBQNBzkMg8PWQuoryJR7hFxIDEzjgiSF6a8oujPiaRgwJJK+qJF7KlpQVvvPEG9u/fj+uvv17bf+zYMRQUFBgi54WFhdp+lj//+c+49tprccMNN+C3v/0tDh06pNsfS500nZ2dlv51dXVZvQ2CBEasDSAQ9A70xNiOjo6IZawghH/vYDU9ZSTRL0g8mvKiF8zJQCL/bUg6+w3hueee03rudrsdS5cuxdVXX63tb2trw1lnnWU4LjMzU9tPyMjIwDXXXIPi4mJkZWXhxIkTeO2117By5UqsWrUKF1xwQdR18rjlllssXdvChQuxaNEiS2WThfJ9dVh4wfC+bkavUr7/zLtmgaAvIFF4l8sFn89nsNvEQiJ/cfcn6PkQVhHPxkgi2kia8hOvTf2dpBX18+fPx5VXXomWlhZ8/PHHWLduHTweD+bNmxd1XWPGjMGYMWO038ePH49p06bhrrvuwvr16zVR313Wr19vKaVlampqXM6XSJzJAvdM7NAIBH0Bu+gUQYjAxCbaKLyiKLoJzwIhoAUBktZ+k5+fj7Fjx+LCCy/EsmXLcNVVV2HDhg1oaWkBEIie8yLnZBuJrpsxcOBATJkyBUePHtWGbbtbZ0ZGhqV//VHUn8nEupqvsO8IBJEhf5+JoOeJPVmWoxb2Z4po7K8Wid5G3EdBIpC0op6lqKgIsizj5MmTAAI+99raWsOEBuJ7Z1NV8iB/1Emu43jUKRBYJdbOQH9GdHQELD6fD7Isw+VyhfXNk7/nQnzpiWWiINB795HnuU/EDles97Hb52WeQ7K938nW3kSn34j6zz77DDabTfO8T5s2DW63Gx988IGu3LZt25CTk4OioqKw9bW3t2PPnj0YPXq0trx4d+sUCJKVRBHToqMj4KEoCnw+n+atDyf6EkV8JTu9dR/pFKUCI+xzIL8ny/uWbO1NdJLOU79mzRqkp6ejqKgI2dnZaG1txe7du/H+++9j3rx5GDRoEADgwgsvxKRJk7B27Vp0dnZi2LBh2LlzJ/bt24cVK1boMtisXr0aeXl5GDt2LLKysvDNN99g8+bNOH36NH75y19q5aKps7/S0/7w3vSfC6+7dc7kORFnAuE+C8nyOfF6vQntnReeZ+uEy1lvNVvOmU4s71tfTrYVn4/4ELOo3759e9waMWPGDMtlx40bh61bt2L79u3o6OhAWloaRo0aheXLl+Pyyy/XlV25ciXKysrw0ksvoa2tDQUFBbj33ntRUlKiK1dYWIhdu3ahoqICbrcbmZmZOO+887B8+XJD9N1qnf2VWMVdXYs7qvp7Q0gIoRogWUSbwJzuPsNwnwXevkR9ZxJZ1AusU1lZyRX1FRUVSRG5p8VxomSlkSQpom2JJ6zj3X4SkY/3PelOOxPlGcWDmEX9s88+q3nNu0s0on7mzJmYOXOmpbLp6elYunQpli5dGrbc/PnzMX/+/LjWyWP58uWGVGuzZ8/G7Nmzo64r2ahr8URVXgju3iNR77UV4Zio4jIeRHNtvf0ME/WdEcRGTwi37tRnJtzLysp0i4j1JtFcEy2OEyUCbbPZYlo0idhjeNcQy3MOV1936M59TpRnFA+6Zb8pLCzEtGnTYj7+o48+wtGjR7vThKSitLTUUkrLM51E8W+z9GcBmYhYGbVJNHEZz3ekJ64tUvustp+MvNHl++LzUVFRoYvOJ8IEykSK+pG2RGoTK2q6ew3RiCSyWBhtqzGz2NTV1UW9iFi86C3hF+7e91SUOxJm104L9ER6789kuiXqR48ejYULF8Z8fH19/Rkl6hORRBSqiToZMhaR1dMdlFifXyI+dzOSSbgnWltZ2Pax12K1/WTkjS7fF9deWVmZcEu2x1P8xUtcWxXtWicgzDXEW7yRyLsVW43bbc3GGS1WrsnnCJ+yOm5tMbHAkH0EUqbLGb5d4Z41W1d32tub74zAnJiz32RkZMDpdHbr5A6HA+np6d2qQ9A9ElVAJxqxivOevr9Pv1cV03GkXTFfVx+PpvTl+RPhM9Od66eP7e61hLPV9fU7QpOsmTV6KsOMWb287fS9a8orjnubyOgKidibUV1dHdN6A1awck1dzqy4n9cqTfnFOFlwUbAdmbr2+hzh20XKstbfpvxi7R/Q/c8Ir9NDOhyk7fS27hJte7tzfexnIJGJWdS/8soruP3227t18mXLluGVV17pVh2C+HLXawd6tP5IX/TReu97g/J9dWHFc1+Kl+7er5gXxupjYcs7fyKJSBbStoqKCktlI11Ld+5/PJ8dbcPpyfNYIVzE3pD2r5e+mLUIaw+cr9eugbp3PZXTnqwxwPt85Ofn6ybIJoLFyirxyIhH7h3pVNAinndfzUYUwnWGmvICnQZ6nmSkZ8bu53V6SFu7nFla+UidEKvo3ksLn4Vo/wbohHwcPgO9Rb/JUy+IDu6X8L46bPr0m5iPtXTeCBHiSFlyrAieeFO+vw7Vpzp1bWD392d0kd1EFs59+BzC3ZfyfXVa2yorKyPXtb/O0rVE8yzoslYzUUVTZyJ8BljREu5LO5YvZqsimo5ENuUX90h0m9Td08Sr4xCprUSwV1ZWGoR9Xl6epc+NpXZEsVBTPDpkbHQ8ErxzNg+dYF6ec1+JuNa9h3nF4UV9fjG6nFmgc59EembsfsVmN7SdV56UiyfWRlr0nR169MBQXw99ZnsDIerPULiRTotfzN05Ntby9HE9JSAMYp363d0VigJaiRKX76vrN/mU6euN572PdVQoETsW4e4Lve9LDO3Rc5rdG7osO7pDjrHcMSfl98e/oxAtLpcrooiIB2Zf8vxIqT4S2Z12xMuqQLAU0TSJUPbkuenJr0TAs+K+O3MnWE86z6NuOCY/chmaLmem5Q5ApHe2fkRIcLKR93CimI606yL6Q/nnY98vz8CzTOuOdKwabBfddh5qnEW91XvucwRGC9iRD159ySroASHqe5Xly5dj2bJlun9vvPFGXzdLh8ffe3merYgJU5HSA15wViRFI2DL99fprufp96rQ0KAX9T3RZrqzQZe1eq542Z3oERSr57YyKsQ9VwKIyVg5LOVbLsu7tu7acug6WXFutZPw9HtVhveOfo96czStoaHB9As4XhMbw33J09E+WjDE5Zx5xVFbFSJaCiKIFdavHU/Cebc9HuPfITY63x0vvdmqq9FC7DRmnbn6ERehKa848uTVCFYQIkABwMcRz6R+9jx2OyWYqai7jRL7rPCnPye+1AGW/eM+R5buHGqwXrN3Vnee4M90/bF2YE3nh3Dars0j4O0L09Gj2x7vjna8ibuor6mpwZIlS+Jdbb+gtLQUa9eu1f3r7Rz1kb5s2S/rniScmAD0tgWzY2M9pxViya1P/s87Nto217W4w94DwNgJi3RP6boBoKqxPWI7DpxojViGHkHp7iRcbv0mQjFR5mCYtaM79yDadyhcp4rUpRPfFt7Hp9+r5tZFv3c8O1pv2XHCTa6kfbz67ZG/lCNFq3nRPnrSodVz0R0B9pyRhZ+x7ljEKt3GePmdw8FrIxuF93q9miUnXiOe8ehwETuNWTTa58hCU36gMxaNn553T3TnYJYE8qbnaOeT7Q5tO528hBfRPz4msKAXuRdqil17hzX7DNWW+hEXw+fINO0gS8GGNeUVAxJfTjblFUOx2XWfR3JO/YhEhAm/UT4/nr1G60xQHUzy/usnH+uvl7S3Ka9Yu/eJStxFvd/vT4oV385UwgnocL/3FNFEznsbsygwG5U0ow1OS+XMz++x9LxirRuwNjLzTSvfrhGOSJ2RaIlGKMb73bVSH+mAGY6NZrQnxlEpKxH3WEc0zI6TldBkxb78nEbKWV43yriwYTjxYMWWYWm/yaRAg6ebzj7CqZMWZsYOQ0homJ3DymgFG63tKax0poiA9/l82s/x0hNWOjxWhSMr7Nh7rtjsaD17kk5kkwg5rxPX5czURdAVmx0+qsPod2ZBTQm8C6okQZHsIWFuC/xss9ngcDigBH/XbC5S4F05lTcezXnjYbPZNDuOItm1DoNqs0OBvo0+Zya6nFmmVpXOAXkA9OKctFO7N/mhtrC+evo+hrMVNeUVR7T1sOV5bWbPRzpgQOC5RbTm5BcH7lkCE7WoLy8vD/vvrbfe6ol2CnoYq9aTWKMmZiMAfAESOfpqVaSwgihc3VZEPF0uknDtCIr6uhYPN+Jp1sZw5VgBp6iqITIeTX2yokb9TC1N4oxCbBQV6wAAIABJREFU6F217kPzemKIzse1M8E843h3QulnFm5UKtrzsuXDjcCF+yy5u+RA55KpT1HDH9ebIyjshEDdPod+X6z2lGiH3KNJGRkO1n/Maz+xfPDOwYoTM/FOxA4RVlZGGKxulzi2DLPjq6ur4yLizeqnhRv3OMaaYWbTIMIuJSXFYM+S0wdBtdnRmHseusaEhKjD4cDxMbPQfNYEblrK5vzQhFj6uUsA5PRsyLbUwPOTJKiSTSdym/KLkWJP0Y5tyi+GCtpmk4mTBRdBtju4k3fJe6FCgs+RqatbSbEbhDoQeFe6glF8+tnKttRAxyHMfVZSUgP/pwRyOK99U34xPGk5YbP90M/W7HOmpKSGrtVmZ2w1WUntpSfEJOorKiqwdetW7r9//etfPdFOQTdZODm6RWG0xWWYL3PWJ26F8n11YYfr2W1WBLtV0cAKHrpu1lZiFoE38zYb6+a3qa7FjepTepuAWeYQeruXWg79rtcO6KLVpE2yYmyPVfvLyje/gKKGf6ZWshTxhXfkLEZA4Lreqz5lXo7jn+9NH3235llY6FyRVKmR6rVyXt0zYcobbFq699s4EkP2e/wK6lrc3JSudS0erbNg9Nj33jPyObJCtoIIEx9jTW3JG3I3E388ARSO9izzv82qJGnXBpj5fUNihBXjJGpL4GVGAUKCivyfjl4CtN0oIOLM7nO4TC00Zsf7/X58/fXXACKPwhjqDHbaTg89H035xbr7RvCm55h6pnmCsCm/WItk8+wp2jslhZ477WuvH3Gx9vOoUaPQnDcedrsdPkeWLjIPAM1nBe4deTZkrz8lEH2HJIU6aZJkGAXy2gfqLypoh/E5MiFLKehyZkG12XH6rPM1S40qSUGPfqiuLmeWzi+v2uyGa6dHAnQWtLxiQJKQkpKC2sIZQXtPpua3Z9tGX6+uDg6ks8KWDYwkZGqinH7uhncgeA8D125DlzNLN0LAtbQF7UPJQtSiPi8vDz/96U/xwgsvcP+tWrWqJ9op6CbRrvSoRaPjEPV8+r0qKIqqizLTX/rEZkL202I21og8vc1MXH3TaoxAkvKxiCxiwWDb3Or1Gye0smKRk1HER32psZNK6RSbtE2H7qjQ4p71pHv8imaraYD+y4A3ImC8Vk+o3v3GazbLsEIgIxdl/64NW46ts67FHfNk7p625bCdRHKN4fz2VjunVj4H9DvBa59un+lzdePp96otd1g7uwLPgn0mvTk3BwBODZ2o98dazULCmbzJO1a2pcI9IDTJ2T0g3zR3daTheXbEQE7NMOzXkGxozhvPFag0JPMKsdI05RXjcPGPoaSkmniL9fMNDKILev8wEUs+R5ZRxDHtoP8fC2SFWZ/Ph4qKCp2/PhxEYBNx3Jw/Xl+vI9O0wxUuSku88UqKAw6HQ3dtzfkTAhYVRxb3uberIb/7qeC9ktOyAQCSBJweej6OfyvwbLscmXAPyIfPkQVVkiBJkiaeuxD050vafwxC05s6AID+WZJUlbItVeskNOaeB78zC76MnEDUPxg1JwWIR9+dka87hyRJWieFvVfkvga2ByryOwM2JG96DiDZdN5/XbupDjMZ9bD6+a0fcREUmx2etFAdzXmh59501kTuceTagVBHlvj+eakvychCMhC1qB81ahSOHDliul+SpKRaHEIQP8xSFFaf6oSqyLoJpLRIqGtxBwTx/jp4fT6dmGWFipm44NlbrEwa5Ylrs8g5K6y+qKnn1kfa6A9+vDxdSkS7Aq+N/jAfzw5fSDTRowCs/53UXb5fv4BWh9ev/dwJB7e8GeT6nn6viho58Bj2s3UCoQ4DuRes+AtnUyJ1t1Ftj4ZuLdgUxi9P9rH3nrzX7AJNvA4T6RCYzW3hWWBYiFWGnJvuKBMPvMevaPecZysjHScruLtknbeebm9vZtFSbHYtikeil035xaYROJ6wY60MBiRJZ+XxcYQtHf00g9gu9OfQlyf76DbTQkVXlvLuh6L1WThZcBHaswv10V0KhY16Mm1WbHbUj7hIZ4lozhvP9UvTeNIGa+2h28cSTvSrqqpluqmsrITP50NVlfnif0T8kvvFs5d0OTP5ExylwPH05bNZWrT6JAlOp1N79k15xZBsEnzpOfCmDw5VYA/YLt0Z+Vr7AGC3NBpASHwDgeh809CJkKTAvetyZAZeh+AxgTkhks5KQ6Aj6LoIMxUF1zp02gVK8NoHQLGnaZ0QsoecQxutcWZBsaXq9tGfAfKeKzY7t0ND76frZcvItpBgZlN6hpscrnWAbHZNdBvSf9L2HurdJdtpu5nZKFWXM0u7f5E+34lA1KJ+7ty5OO+880z3Dxs2DI8++mi3GtVf6YuUlrwobSTC5Q9vg9NUWLNRV3J+WrgR4cBCtnV6u3TbO3x+rR5yPI+qxnadpYOuMxxsGVpUtnr9ut/ZDsY3raHOB5sRBABk6uMlK6qpMDO7J/TxrPilxVS49IKkfna7qhgjqeHekc+DHRha9FU16i1FRJiyz4i1GtFiVmFEoZbxJyj82Wvx+nxQODED3ghJPHn6vWrtOlwul+58VjpAdDnaQkWe3TetHi1KzrPRePyK9jP7+aTLkw4eeVeJsCf3zN0la+8pe3/Zn9njgJCVTkWoY1nX4tHK9cWkWTMvLh1dC63GmckVIFazvmgiQ7LpsmaQ4X9PRq4hCwidPcSQQpCyt7gH5HOtMmxZuh3mcwCyoHIsDtpkSyotIo+A91gvboDIoxC6ib2cVKBk4mik+60oii6Fpd9v3pG32WyBZ5AWiLKSc6i2VJ2fX+UJ4CBSMDIOILgIU+hnmhODxuqsKF77AMi2VE2YKjY7/EEB7ElJBxCI9DudTnTCERKWQV3YFZxUK0kS/MFJq0QyypJ+smzgmuzc39kOCxlV6nJmBeuTKAFLW04o4U0Jf39qeuA9Ju+QZAt0bihxi+A9o9tEj2axHUXtyoL/C9iWpFDEnEm1Sb8/REzrbEL0yEvwWG96jraNHcmgOw8EVsjTsFmBjo+ZpRP4iUrUon78+PG48MILTfenpaVhwgRrvrozjb5IaRmK0oaPgNKEyx/eAadp5JE35M5+ybd6ugz+chptmDGI5hmPMBnQ41c04UU6F+HOQzDaRkK+bU+Xgi9cbZoI4l0fHRnl+YsPnGiFCoDoULMUgeE86gdOtKIzWCdvdMDPEcb6tvHnCijUiBrx7JtxItiBIXW3ev06UQcAtSai2iyvvMevQFYUyJQ1i5R/+r0qw31xd8m6URz2HNwRAuZe8pah59ZnmGDt1q7jSEMLyvcHVhkO1xGiBTQPtiNIrpcdxSJ1EdjPJ12e9w7y/PBs/QRifSPXKyuq7jroHPXktatrcQc7raFIP/tO9gYG640kGaJqngG53ToHbWXxpucEspQ4AlFg2e7gjgKw2UNoAaZlsMkvRhflVedZRXwZOYb0ez5HJmS7QydgNJsDEUspdk0kyTaHITMPK366nJmAZIOaYtcJKVosdWaExBudzUWFFPRVG9M+kowwpK5IFgureenpyLwnLSck2lPssNvtWnsIvozA/Wc97ZIUeh52e+AaWctIc/4EnYj1pg4Mit+gOE5JhaLqBapkk3DNNddAQSAq7UVKKPtLasD6qKakQiUR+eCxMi20tW0hYaoGJ8wGjrdDluw4MWgsAP1IiMREzNmRDAVEmFP3g+oQkii9zWYLDiKE3gktyk86QboOU1D0m6S6rCucEayBXCMVBEtxhKw+JJMNR0wrkl13r5WUUAdLZTqYgeMDnRuV05FQJcnwvI+PmaXVc2oo38qTaIjFp84AaHFECz4SbaS9vYqqRhw69/gVnQjkWl9MRgfcftUQuafPp0KClxH2ZiMHvEmw5ftDIwPEpkGu7a7XDujOrajBCCinnSTS6elS0B6shxUqfth0Ipfg8Sva7zxLBs/rr5tIzFxXbYtH69wcbw2NZJTvqwsMVZvoJ16aRb0lI7BNgYRNn36jKx9plINYish5SH30szLMm6DeM2IDUSFBVvURabORC+LfBkLRcq/PF9bywVpkKisrraXktJDVqN3rD+s97/DJ3faW8+4D7zrJKImiGjt47AhTOHidJnK+8n11urrY1676VCe+cLXpIve9hUpNHGzKL0Z7VkFgh6TPwmH4oqcIv2iQMXKrSAHbjycjF3KKwyiMzNpKRcnNPN7e9BxDVFy2pcKdru+U+DJyoAbtRwCxIqVCTgmJE1IPiYwa/NBMu8l9lG2pOiEl2wJ1KikOdKWFovhEvNePuAiQJK3jw0Y/VZsdx3Ina6Ml4SY1q6oatY2X3IcWpOsEu6FzIQXuf0ZGYC4DnXWGPJfTZ50Pf9CS4bUP1Hz1BQUFuroMVh9JCnxPBM/v8StwDB6G++67TxPsMlI0W4t2Xon42m1IsdkQCNkH/8/UH/rZpvtdsaXgZHaRvjgCEX8gJM5ZW6cKqvPLi0IHxbbDEXj+zfkTtPdWsqVwj9NGS2jRjqDNJfg7z8Im2UIdUfIseHNC9O0zvydq0JpFe/1VXWcpcG1yiiMQBLClhuxCKXY0DpscshGlpBo6wIlIt0V9S0sL/vCHP8SjLYIegl5giHwpEwFMJlnSwoz2awN68emHDe4uWRct5C1gREYIzCwRIQuAxxDRlBlRz7P1sPAig2RT9akOlO+rw6ZPv9GEIUnn6O6SuQKOiDE1WI+i6MVzXYsHMmxaZNNDCU5ZVuHuUrScvyzEYkGfN+RzDnmwFUha1JOc2gc715PNm6hKRi/o/bxMJuSPLD3hlh7lCCfQ6BEKQP+saHsOsZYQiK2K3k+sWmYdCtpy1NDgQvn+OrR5/dr1uLtk81zv9DyJblhE6JEZMk+CniBLP4dwnS0g0BFUVGsTeAPnCpyb11EgnUeZ0vsulwtfuNp15X2yqrsOUh/vc8pO/KU7zDzavH64u5Re9dNrMNFAOTUd5EvcIGKDX9JELDTlFUNNseP4mKvC2kLIceyk1YDA0YsXAi0CuoITB1XJBm96Do6PmaVFFenIN+3vJXUQewTbCQgI9pAlQgmK+VA546RKukPBThDWjWwEI5t+exr1e/D/wfvtTc+Bz5GF7Ozs4L2jM7RQVhdiNyETNHsAzV6CFLiD+dMdDgd8TmOmGZ8zC06nE0p6Npryx2vCFwiKudyQxbjTMUgT7/n5+hWhaVGvHxWSACkFHT4/OlKD2Wwoq4khEk4dy5sToNVpsp1E+Z0Op34P/c6QaD9sgdFjVgxHgHyOagu/F+pwMveV1HkqOAeEnQsQyKoTsvSwdctpg7RrgiQFfPOc90X/roYi8AYkG+pGzdB11tnRO5X5XJHPnmxLhWpL1bU3GSbMdrvb0dnZie3bt+Ouu+4K8zIK+goi7rpko4WEFU/kS5wI5PJ9ddq2/91zHJU/uwgybGDXyQtEV/lCjM3SQiDtCFgwVINYoAUFvY8IBhIJL99Xh8GuA4aoMU17UPiRc5XvM7cjefyKQcyoCHrQpZTQuVvcUCAZIpt1LW7IaiBSw/5Ba3P7kJnuMLSxze2j2k/53iHxLSWmk1MlKKoKr8+HL1x+yIqKL1xtyHLatbLVpzqRZrdpnQRad9JijAhkYq3QJv36FaTZQ5/zuhYP2n0y0lNTtOMAIM1u00Z06HtDkBXARr1IgVz+oc5Gq6cLWWmphusk7WiDEwdOtEJGCqpPdaKps0u7Nz3lrT9wolW7vlDn2IPGDh9yB+iHbXmjSwdOtMKG0PWQjiD7LtLPgfxM7C3kidW1eHD8ND8CT+pvaHDBI+UhNSXwHtKdh+pTHdpz7Owyfn49fgXN7tCokKKqWkeGpdndFfiMMP773kINfu/oJw0aBVBAOIcEVJczCw5fG5ryiwPiOsUBu09/T+kJmOQ4etKq2aQ5Ohc2lMDfKk9ajhYlVCR7oB4plCmE4E3PCWQ/Cd5QJSVV+xkADl3wMzi9LYZzegbkmvp96U6CZruR7NoiREAoks92COgPKm2l8DkyteubMGECdgT76YrNDpvq164lUFMgGmyTbFDUFO7ETx7hJsgSSARZ1QzpgVzrNgAjRoyAJEnaKIMkSSAhkkP5l0BOz4bd0wLFlgJv0N9OBKsa7NTIKaloYbKokOw0wUoDH0vmkhQAqhLo7IY+exLIZ7hzQH7Qp67XTeESJJgKe+J1dwbz2Kt0tDol+OGU6NMbhbzBAi+FPtSANgrgc4Si7bKiaveJrlNLbcrUYQZJ69rhzEFm52kAgCKlQCZ2KDnwPumy7EiS7vtLP4cmNKGVnvAbaiN1pNb+0LZAJ5rzHOhrTVCECu/nkC9ijz/4BUFFBllLDm0VIRPzaoNf9turTkVIN+g2RB1JFN6vqFAg4eBJYhEI7D9wohUdwWgly/HTbtScNk64JJFcIojK99ehsrISgD77h947rs+p/fR71ahqbDfYB4DAKEVti0eLaBLoSavk3OQPW8j6AHzhMo5aELz+UEcGCESyr1r3Idx+RRdhpWnlZHohz+sLV5uuXECAB75ESBvpEQSvz6dZklQ1+NVG/cEl0XNin6B96uT6WcFGd0i0bVSb6REdMiJjZZEv8r56/AqqGtu1ayXtaEG69m66u2TUnHZr1hOzNRasEG6xq29aPWj1dGnnJPDeX968FPL5oo9VYeyIkv1en0+LopNTBJ6NiiMNLTjVERLdsqJCCT5TUl8bnLp3nB6h6PD5dR0GOisOAEOGIVkJdGRkRTVkvGE/K71JINIcGlZnc27T+E2sNWTSH+/LmqQEDGD03HItEgjZdFQp6OFNCbTNzF9MygJklU/Ki8wc4xmYz7UJmU0Y5nU81OB8g4AwtwXbHOgMhZ0MS9XlTc/RjqX366xAKXacyhsPfxrjibYQGQaAxsZGyHL4TqI2EkNHwhGwhhzIuxgSiEgL/c2WJAkNg4uC5YKjDmmDNfGvb6OkzQWgr1OSeAKcM1qj8kcHfakDuYFQ7bsmqgmZgbItSNcdK6c4me+5cHVGPp8s2YOdJ6rdWucmtCktN7oU2nIwI5DCjFCRZ0pGw+iVdHXn1v0sGUYEjOk0w1+rkhK+/OHiH4e/oD4k8Q1C/Yjly5cbPsSzZ8/u8cmy9JewrKimPmC/EvQxShI6fAGBTI6VFVUXUaR9tgR/sMwHR5uC9QZtJCoASNqXf6B3HxA5dASchjSZ/iixCy+Rto+h2iRJErpkFSvf/EJX1uMPecCrGts1G46iBkQ5iaz6lVAMiSdV2EnBHqRS1gej4OHZguhRiq1fNUKFBImqu81N+cQpUU7Ph1CZfZ4uBVnOQJtlpBj+ZHn8Crq8XiiSM+hlN36ZkABxVWM7/Fpk2HgfyLNXEeyoBJ+fGowGkbkK5FrIMXRnhldnmt1m8IS3ef2w2wLPFIBmaepCivaSKGrwRyZtKO+L9EsMRbgB1PL9ddqaDryMSx6/Sr42oSIwohBO0pL3ge6wdJpEslu9fmQ57do96PR2AXaHbh5Cmt0GWQnuk1JD8yNUQKIaIitq6As+CN0GYrMjnTvS+ZaQAnuXbOio0NluVGa7lWvuKVi/NBHRNO1ZwyGp4ArqLmcmvGn6pePbswp0kXC6voBg9WnnMkM7hhqyl9SQ11qVJJ3vPVBAoiKMEkd3hDZ40nNgU0IdL9XGdi4YAa1SHcmUkKc4EEmnf+bjGZhv2Ba4LioizNwnEh1tzp8At3OwVlbzVJusbms4T4QJsyezi4Au0sGlbSwSvlTOgizp52wh+PdWttnhcDq1aLkmIlXjQk5OZ+BZfXSsORjtDyDr/o4ytg6mnbrfyXkM494wtW3qj+V98qTAPVdDbZE5361yjJHmQKYfkwg2yDkD7WrssgPoMpQwy1VPQ69uS+qkO5r1Iy5CqrcN0UTMw61WC+1zSYID/I46TXt2oeVz9zZC1PcipaWl2uSc3oYnolRVRZeiIssZjKxQhWhRR6gLWk5kOSAd61rcmngmgq36VAeqT3WgZPQQps7g8J8aGK5TVGh/zgK+dVZFhL4A6fP7Ff1EXtbD3OHzQ0UoKkoEcFtwREBCwG5Ad1a+afVg06ffWLINlO+v0wkc+g8wZwTW1FfNZhBRERhB8PgVuKn0hXTNZBTA41cM9ydSrDRwPmK3kMMOi7YHr62qsSNgq1HVkJiWVShKhDzxqhqM+kvwyrLOthI4f6hDRbePCFYao7jUCwNA3xGra/Fooxt1LR4MH5SmO/6wlI9sTspN3uJsbKeAvKN0dI6MKNBtZUeJiF0r9M6Ra6HqVlR0ySpSbTJkJTRng/5KJvcICHRqyDvDQ1EBhTqaHRFQEXj3Ow0jDim6CD4N+7sZ4axw8cbggZckKIxwkFMzArYajggPpToMRslTUgHJAR/12TCkEWQ8yjx0xxDBQAlr3aI/CFmIAhHGyGJFsaXCpvgZX7E1AtFoSasntJ1kDTGKNp9zkGEb3c4vMTTUSZEAWUrVrtvnzAyIQQQ/OxIZGYicRtRKBpx25xD8f/bePTqO4kwbf7p7rpIl4csMNiObi4QxGOHgkCwsiWPWBgmchY0XA+JnQ9jNOjnZQ7IYJ2QJST7CQjbxHu8SCDhf9ls2wUAuS3wSNgfnYo4Bc1mTNSEWAUxMDJiLJSNjybrNrX9/9FRNVXV1T/dMz2hGquccW1J3dd26e+Z533ret2KZQ5DNQQ46coXxmIIHPKeHEY1EMBpqpo4V0v9j0eO4et6B1deBkXShpD9iLEo6AcvI5Ah24TPZqzSJvcb2t5vsRSorKd2GlenHwXAU4LSXiCu5LoAal2zcASf7ai2QeltHXWp1PqeZlpOx0nrqBQ1J6l977TXcf//9OHDgAIaGhhCJRJBKpbBq1SpccMEFXNmxsTFs3boVu3btwvDwMNrb23H55Zdj2bJlXLkXXngBO3fuxEsvvYTDhw+jubkZp556Kq666ip0dnbScnv37sXNN98s7demTZuwaNGi4AdcAUhOaYD3PB6byMIoeEBbo/JrWemHSesqauneOjpOdbeE5B6byELTilrwIhGQezFytD45CWAJ/0uHhgvEnSffL+N42haplzRLxsDyEbYc+7HHeqCdQMclGEDiuNxgFbdnrdn/3gjNCLNz/+HiiYK1QDzzbBCvE0wAWQcJkZPUB+BzjpOVD6s+zcq2AyCXzzt6a3jianX87aFxZPMmQrpWWA3iy5LfrbFb98wEv7OwFxDP+ViBaFvBvtbve98ZwqymCB0jC0Lee5embHEKrFFA5k0WV8JuxESItmma0DStcN94mRmruSepPaHpTJpQy4DWmFUPfqwaLef03JIy5P0RpVwm3J8FGYf38nx7o/7VguxL14NHnRYV9LaSurxmwCjKBLz0qfA5GIpIzsku12nGDi+wacCZeoq/OxsIbkQzG45hjzafv46ZRzYdYc6n4reU9AYA0pEZaDYOc8dMzVr1yzMxFFwedj1Cxz4cm104XcgCY8IKkGQwxmzQx84FdeqU0I6/8b7MwHW5d76kN0V4NbxL9kVmABsxWzlTdi3ckit4MFhl0pfCZaZm/S4GPlcCN0lcI6IhSf3IyAjmzJmDZcuWYfbs2RgfH8fjjz+OzZs3o7+/H1deeSUte8cdd+DVV1/Ftddei1QqhccffxybNm1CPp/H8uXLablHH30Uw8PDuPTSSzF//nwMDQ1h27Zt2LhxI2699VYsWcIHylxzzTW2fPwnnnhiVcddDlgPKSEvL/Ufs1465s2TEQdCIgnRYck0kVhkC1lhNOY4CkF1Mj24HYQ0Oi/XE+JByBoh0cQru09L0jqK15jcGAicPmsGxzL8x41kpQCQ575nx+/2wU6+AEjfxJJjmRzdjGl4ojRxL4V8gVSOZXLcSoisTiKTETMZsR4XEshq/4Ivrp6wKw8aWGIJ7ieAYsq6wpdvcT+AfLFtLWTboEo2x+TIGOM5H0ln8VL/MVz/0714e8iKqSB7ORIDl3jo/2Xn/gKp5zdyCk8MAQhTgwMo3EehT+z7s/+9EaQFtjyeyXPzzmYJIoYcYFVrwrofJjTk8iaNdZBJuY6MpnnvHOzknXRNfBdY2FbKUJxT9p7WG2wSFqdynPfetGQuRgh5IwJN4g3mJTdCCkBGa+0GazdQfxDJpFMfrGPeUmgCALtZlkshb3XRDhQu0QwcQ5Q5zBsHGaN4TtMZ2VxA6QFNaMW4CPoca8jlnY0Rrm0iH6TfRd5JHl+/bK220J6rnRggQS3nIrF9p/7Uivy6zUfhXKkp8/VsBTj/9YCGJPVdXV02Qv3hD38Yhw4dwvbt2ymp/+1vf4vf/e532LhxIz72sY8BAM466yz09/fjvvvuw0c/+lGaf/Yzn/kMjjuOX3JbunQp1q9fj5/85Cc2Un/CCSfUnVfeC0wUv9xzBTIqBsmxZTUUAzJZL4CJAgktkHhuE4dCnSKRESGSFJthQbPISLz4ppXZxYmoyDzxTsibVl8iRomX2zQxNO6wrCgpy/1eyIZDvNCylrJ5E2Y+73C29FjkHl0iN4JjvQAwlrU8xWId7C2SGV15WJ6tEdGAsy1pykkp35a4smC9m24rA1KYJq7/6V7k8ta1JGiVkHoSBC7biZXFSDqHgYF+oCXF5cg3C3EDXF+ZA2OZHI0BKBo3Fo4VgldLBdpaQdXWmMktkZVL50wYwtSUeu9kcPPYl+/9qz5MjynmRLI82lzIhAP55jh86jq5V921PU2XS1bKhr8VCBlGmxLBdEXSPBcwasuqUlzXYh8zL1IMLzChYTx2nOS4CzR7AUrQZSRP4okfsc2nVwOrSiSymuRUK0xY0B8FHrPjsDD1ECZKxGME9Ww1IgIxvfxuElEttLS0UJIOAM888wzi8Tg+8pGPcOVWrlyJwcFB7Nu3jx4TCT0AxONxLFiwAIcPH7ada2SId8vSm8vvoUVA5N/4MpJGPaaMZ9MJ4uVSTbuQ0YQFIfQD1P8qv7YU/JCWSp90Mpeyd8by0npYnnQYl1NMQJauDDgL2cHHAAAgAElEQVTXbcL+4UoMNllp7jo4EHZZfZLjBE7E0oRWzNbjBqZe2d4G49k8jiGKY+NFzT1ZfRA1oGyQOOBskJCjOVMwdLluFQ+8LwSvAu7PHz1TqIOV09HrbeRkesItcJWHZhFNjddY80WIxt1bMKf9es1Wr2jk1hqmJGiyMhQHJO4E7oRq2YdZt4w9QOF+cAcAFBwhkntlu1aCDM2aNF0Q4FjLnjcrwHwiNtNfnQHfJ++fNbVHxeZMS0sLent7JyVHfT5vBXseO3YMu3btwvPPP49Pf/rT9Pzrr7+O9vZ2jugDwEknnUTPn3766Y71j4yMYP/+/TjrrLNs57Zs2YJvfetbiEajWLRoEa688kosXrxYUksRo6PednYMh8MIh4Pf5MBJs26a3j5sxSKePqBFjzX7u/BiZFxS41HCKgkQHUbMXl8ZhmZ1t7YvUbeD3EcGN68qV18ZdYvB0iyKsg4344AFLzdygwkU++zUV7d7KnrR0nKj8hii1j4CKKZATbXFuTgCoPiuHEPUGkWpwOTC+WNpgdQL/SLkxykOg0peHObYzfD1itIrJkL1vmqfRAQsD6Db0weFwEl1/UDqMKCyMFT3IdI0j6+AvSPcyquTh94Brg4YL5+3ZXipy0Yt26oW6BhKx7XI5GqB96VOUTGpnzFjBnp7e4Poi2/ce++92L59OwAgFAph/fr1uPjii+n54eFhzJ0713ZdS0sLPe+GLVu2YHx8HFdccQU91tTUhEsvvRRnnnkmWltb8c477+CnP/0pbr75Znzta1/D0qVLHeu77rrrPI2rt7cXV199taeyflCLFHME5SzZu13hvktlZS8YJVK15vQ+yLZrVYV6snnT/sFtmvJrHOB236xVBv+T5Nv4CwAscWWDpSdMA9CAnfsPY6IQCCxuivbQnreoTOoYonD01UoMyVLp6MQYg1LlRHh6rxyeK7fnnD1Uz3Kb2sCau8HkmQ2xLbwU1SbSvlCDznj9HBXIbVm9EmJYJg2T2X4lRkIA/TbFAG9bX6o9N1OY1E8m1qxZg4suughHjx7F7t278d3vfhfj4+NYvXp1xXVv3boVO3fuxKc//Wku+01HRwc6Ojro34sXL8a5556L66+/Hvfdd58rqb/vvvs8pbQM0ksvpg0MHLIX2zS95cL18aHgFshXFsS0XzX7oLY8DfzfXi4r0TcPhNJTM14L+Jgrrk4mOLZieKxjPJOHUci8QzNeTOQQ0q0gYqKnJ8GzDz3/FpV2TcBwJvW1AjNO132e/D6/QiwMPeyja25wN8QbA42rzXUg0n7JWDU9vNX6qG1kr/RU8N57jEmosJEA65paCOwT68iRI3jrrbeQSqUwc2ZR7/Tuu+/S9JPJZBK9vb1YuHBhIG0mk0kkk1bmk3POOQcA8IMf/AArVqxAW1sbWlpapN54cox47EU89NBD+NGPfoR169bh4x//eMl+zJgxAx/60Ifw6KOPYmJiAtGoPEdkU1NTzfPUU6+badL840AdOXEAT2SkKvxgMj743Th9NfvDkmkvxK8ePFFe4STxIocgT62ay5vQDY3ZafiP3DWAFaxbMouT3/tW6dw2CGGpihOhhhhrTtavdrba5K8G5NJXPnYHeEptWK/3sBxMpbGUC6/PplMO/ymOwIRH//Vf/4Uvf/nLGBkpZpEYGxvDTTfdhF27duHNN9/E//7v/+KWW27Bu+++G1SzHBYuXIhcLkfrP+mkk3Dw4EFbrtvXX38dgDwF5UMPPYQHH3wQV199NSe7KQUSDBdk/tQgwD7CFa+q+/WyOpVz8O5XDeXWXQ8fAD505DVpsxbtV7tu0gR4qclbR8elenO3VJAKzqiDt6cipKPMVvP1hDr7jikbAYwjFGrUlZQCSs0Bt6eAw++V1F9NyPZFKLcOv+emMQL7xOrr60N7ezva29vpsR07duDIkSNYtmwZtmzZgk996lMYHx/HT3/606Ca5fD73/8euq5THf25556LsbExPP3001y5HTt2YNasWbYVgx/+8Id48MEHceWVV/qKEzh27Biee+45nHLKKYhEvOVNrnvUA6ElEI2JSvpW1rUedczVRj3dk0aBacUZOM2cyOFLG74VPIuTsjJUYwOagVvge0Og2oS+lqQkqLYC7nNxg67yrn2joyfA3viF5vpn+dXWMVmttG/1PLYpgsDM3Pfeew+nnXYad+y5556DYRj4u7/7O7S2tuLSSy/Fjh07sHfvXodavOHuu+9GPB7HwoULcdxxx2FoaAhPPfUUnnzySaxevRptbVZ+4HPOOQcf+MAHcM8992B0dBTz5s3DE088gT179uDGG2/ksuJs27YNDzzwAJYuXYpzzjkHL7/8MtcmyUm/adMmJBIJnHrqqWhtbcXbb7+Nbdu24f3338c//MM/VDSumqIM/W2g5eoVUhJUxjVezk0WJqu/dTgXnmJ4fV/QQNIlgnI+DxptjLVG0Mv9TvX5Pe6n7qpCw2DyTMwa6Cvr6sHkmTh23EnBdskrHIMzJ+kzbiq8i7IYt1q0NcUQGKkfGxtDPF7MwWyaJl555RV0dHSgtbWYFqy9vR3PPfdcRW0tWrQIv/nNb/DYY49hZGQEsVgMJ598MjZs2IALLriAK3vzzTfj/vvvxwMPPIDh4WG0t7fjC1/4ApYtW8aV2717NwBgz5492LNnj63NRx55BIAl6dm1axe2b9+OsbExtLS04IwzzsCGDRsCixVQ8AgnYlFCY12TdquJev4wqpu+icELznBM8eiQSagiuH2ZiMHbQaKadU83qHksDwEST+Lhz4mbj4ltBEl2pwJxDhL1NB9B96WB3/HASP3s2bNx6NAh+verr76K0dFR286vuVyuYh3cypUrsXLlSk9l4/E41q9fj/Xr17uW+8Y3vuGpvjVr1mDNmjWeyorYsGGDLZ//qlWrsGrVqrLqqztU+hJUKo1x8x5Wm+gHjUboYz3DO6e3bbK1952hqnTJDg+dFJ9br19e9S4LmooQHbXlzGsQ3spay3om4fkZTBLZTh1oxqdKO1MV02z+AiP1p512Gp544gk8++yzOOuss/DjH/8Ymqbhwx/+MFfuzTffxOzZs4NqtqGwefPmmme/8QXph7Mb8agD2Um1m1GEZ3IR1Py7ra4UjpMUjG8PVbCfgy8yDZWZbUqhTPlFI3oFK8kswpTNRCc9YWzjYyqR1nJSrtYKDfKeBkbqr7jiCjzzzDPU422aJrq6urgdWw8dOoQ333wTF154YVDNKlQDnHcQcuJRDWnCtMEkZ62pNaoVv+G7Hvd6RwopX0XPfXX6Uqd1KjQWaiU3qZI+Px0JcMder6jmbq9TiWAD/sdT7fHX2069dYjASP38+fPxzW9+Ez//+c8xNDSEjo4O2yZQe/bswcknn4xzzz03qGYVFBoPjfJ5E6jhVgeDLtEFkt5yUndUnRQJm4InTEYcJCEx0/i+DibKD6YtC0GkYqwHVKv/NkMS5b0X7DzX8vkOIoNPHb+PgSZ57ejowA033OB4/uKLL8bFF18cZJMKQaGOH1JfqPY4gkirOR3RQNNV0642QipUlemmAIG91NOXez31xQ88PFaOGXLUI1kn8MjqJ+MzZBp+btXhzhoKdQP6JdGAXxYKCm6QECCT+b8a9dd1veWi3vozWZiG5KFiaFpFmzUahqHmvV4wFe+DhoYclyL1CqVRD9/bijwo1ALqMVPvWiVoQBIQGMoYe14zShdygJhJTmEKY1Leq8Z8lxt8j+XGwpRPaamgMBUxFYNcJ7v9Rkc1SIZbnV503kH0qcYynpxezDPvVzsfjUSr0SWFyYAYlF0P/WhQKFJfQ9RlSkull7WgSM70RS3v/WQ+Z1XLKqRQMerhM7jcLlTSd63o5PKzu2wm2oJ0dEb57So0DmqRUWcKfaYpUj+dMYUeZAUFBYVJgR/SMRmZPpzas52bhKwvZbZlpcIMlyynoMChHoznKqNiUdrRo0dx5513BtEXBQUFhdpBGbU81HzUBqWIxTQgHpVgMHFm6UIKCtMUFZP60dFRPPbYY8jn80H0R0FBQWFyMB1J7XQcc7XRCKS8EfrogMGkReqzKs+HgoIN6q1QUF/sCgoKPNRnQvBoYCJdb8jrIeQqpS/qflQHtfjsCPrWeX0WGuCZUaReQUFBQUEOtdmaQh3C1EPIuzG7BiBfdYF6nifXvikJmxNUoGwNMWkpLdUXsoKCgkL9oZHJx2T3XVM+SQUBlQStT/bzHBAUqa8h6jKlpYKCgkI5UM6CxkeDEhlT0xp0ayAFhepCmboKCgoKCuVDkXt/UPNVORrUGJlUqDmzYwrOiSL1CgoKCgoKXiCSgClICiqCaLBUZedd+p+CgoKAQOQ3pvI8KCgoKExfkO8ARXJrh3qeax9985t3PmRYtEWxDgUFOyom9S0tLejt7bUFgCrUMZQRpqCgUA2YZn2TzXpBI85Rlfr8bvt5iKSHPZdPR1qq0g8FBSlqvQt0haiYic+YMQO9vb1B9EWhFmigh1NBQaGOMB0+O6pFthuRxBNUue+ZaKuv8hPh5ir1REGh8aGy39QQk5bSUkFBQSEITAViTzxvDeaBm6rIGZHJ7oKCgjsayCgPnNTncjns3r0br776KoaGhnDaaafhwgsvBAC89957GBoawoIFC2AYRtBN1z1USksFhQaAInoKUxn1QFCYPpiGNxoymDgTsw+/WK0eKSh4Rz28Qw4IlNTv3bsXmzdvxuDgIEzThKZpyOVylNS/8MILuPPOO/HFL34R559/flltvPbaa7j//vtx4MABDA0NIRKJIJVKYdWqVbjgggu4smNjY9i6dSt27dqF4eFhtLe34/LLL8eyZcts9Xot66dOBQUFBYUqw4vHXUPpyMo6/qIOBJM5vgp2ByUa+sGkIvUKCqUQGKk/cOAAbr31VuTzefzlX/4lTj/9dHzzm9/kyvz5n/85tmzZgqeffrpsUj8yMoI5c+Zg2bJlmD17NsbHx/H4449j8+bN6O/vx5VXXknL3nHHHXj11Vdx7bXXIpVK4fHHH8emTZuQz+exfPlyrl6vZf3UWQ8wAOQmuxMKCgoKk4nJWnxREp+KwWru30ssnsSeKCjUPwIj9T/84Q+RyWTw9a9/HUuWLJGWicViaG9vx2uvvVZ2O11dXejq6uKOffjDH8ahQ4ewfft2Sup/+9vf4ne/+x02btyIj33sYwCAs846C/39/bjvvvvw0Y9+lEqAvJb1U2e9IJwbQ06PTXY3FBQUphsUmS0fU33VQAI2q81g4kzMGuizlXn/+LNq2SUFhYZDYHko+/r6cNpppzkSeoJEIoHBwcGgmqVoaWnhCPUzzzyDeDyOj3zkI1y5lStXYnBwEPv27fNd1k+d9YJ8Pj/ZXVBQUGhETBdSXu0NpaYaQa/SeDLRVpqzfjDJ564fTJwJXddhhAxkdBVYq6DghMBI/ejoKGbPnl2yXCaTCYRo5vN55HI5HD16FL/4xS/w/PPP46//+q/p+ddffx3t7e02z/lJJ51Ez/st66dOGUZHRz39y2QynudBQUFBQcEDZGS0mnx7qpH5KsM0QjYyTzCYPBNosfiFqaukfQoKTgjs7Zg5cyYOHjxYstzrr7+ORCJRcXv33nsvtm/fDgAIhUJYv349Lr74Ynp+eHgYc+fOtV3X0tJCz/st66dOGa677jrX8wS9vb24+uqrPZX1henieVNQUJhcNMpnjQk5sa9UC68IvS9omoacHuaOiRKckVALoqHp6fDSNSBf4SvlJVa8nutX8IbASP3ZZ5+NX//613jmmWdw3nnnScv85je/wcDAAD7xiU9U3N6aNWtw0UUX4ejRo9i9eze++93vYnx8HKtXr6647mrhvvvu85TSMhwOlyyjoKCgoBAw2B1xVZBrzaBp4A0hzfLOs6Q+r4cxEZ5R+87VAUK6hnSusmfR0DVkK7UMFOoegZH6K664Ak8++SQ2bdqE1atX48/+7M8AABMTE3j99dfx7LPP4sc//jFaWlrwV3/1VxW3l0wmkUwmAQDnnHMOAOAHP/gBVqxYgba2NrS0tEg95+QY8a6T372U9VOnDE1NTSpPvYKCwpRGxNCQztaGPGgwYVZVQwPlda8BjrW2g10y0Qp3ljkAE0AmFK953+oB8bCBdC5b9vUagJwHQq+87Y2PwDT1yWQSX/3qVzFjxgz8+Mc/xsaNG6FpGp566il87nOfwwMPPICmpibccsstmDlzZlDNUixcuBC5XA7vvvsuAEvnfvDgQeRyfEJHons/8cQT6TGvZf3UWS+IZkYmuwsKCgrTCDPjtVtp1KcwBfFrSjSy6ZEx4pzxxNpRkfQQMpEW5E1U34CrU8RC3qia2+wYeum5MwJjhAqThUBv4eLFi7Flyxb87d/+LZYuXYr29naccMIJOOuss3DNNdfg3nvvxemnnx5kkxS///3voes61byfe+65GBsbw9NPP82V27FjB2bNmoWFCxfSY17L+qmzXhDNHpvsLtQe3JJ5Fb70y12SL3WdWupXqFeYTskNTIeftYEBh34F6F2vFo0Mul5CyGz1BjAXpIZ4uDasj/0oDE8MI83kqp9slJpNjfnpZ+ZF3l4OwXYi7oZu6fJFiH1sjqgg5EZH4HewqakJl112GS677LKgqwYA3H333YjH41i4cCGOO+44DA0N4amnnsKTTz6J1atXo62tDYAlyfnABz6Ae+65B6Ojo5g3bx6eeOIJ7NmzBzfeeCOXwcZrWT911gvMcjR0rK40cDhFpgUHPZdGPhStWv2amYep+b3XJsLjR5GJH+dYotr9nrIw84CmXEyTAvJZwXxmTKTTAFwId4BoioaRzQB50+fnCusVhofNZj2UmWzomtVLQweyFU49mR1xzK3REMYy6coqd0E62lJo1z7bXuefBJUGdc/iYR1jGWtCvTxhrHY9xlxbCrqmQddMGhC7ZF4r9rw1ZGtTHBf7t5MzXmeed6egW12zVgSOSq53mssgAnjrGez44iENY1mz7j8LGs4sW7RoEX7zm9/gsccew8jICGKxGE4++WRs2LABF1xwAVf25ptvxv33348HHngAw8PDaG9vxxe+8AUsW7bMVq/Xsn7qrAfk8/73ky2XtHr5yNPyeZi6h7orIGrRsUGMtcwr1BOUgVKZMaLlsmga7cfR+HGOdXH9VvAMzTRhTs9V+dpB+g6ZdO7pPTBNjI+NAXoMUZSvAfaKUxJtGBxN48B7xwp99P+eGrqGrI8gxFANAg5Zb6+sJTdioWv1TjsEMAHJE00JvNHRg0ykBeGJYvya5lBeBj9BpV5IqWjIsKQ9pGvI5XkThBBrQwdOT87AnreGCvUYGJrgv4/ZJzYeNjCWydG+p9ri9FqviIV0pHPu3/khXUMmZ/WZHX9I17BmyQm4+6kDtj46Bdm2REM4Op4tjHfqBeKyz9Lpx7f4vh+TgYYj9StXrsTKlSs9lY3H41i/fj3Wr18fWFk/dYrYsGEDdJ0nqqtWrcKqVat81+UVtVd0ePhS9UDYLZJQHpGOpIcxhnlMPb6rsMOvcSCM0cg5ebeKY2T7LYOWy8A0/OiVxfmTzWeQKyfVrl+hPmB9qGj5LCwFZ1F6o5mmtQ9JjRZOUm0xpNpieGPwGPKw3rOcIV/tChXIu0h5S0mNOW9dWEcu789bV6osOS8SzFhYRyZnSomSVwJVDr0nRFWGVFsMh44VP8v81l/KIMrrIRxJLAY0IJwepptR5QxhwymHz2K/nzTlZJVpCuuUnOsakAPvzSfEWtc0bFzeiasf2APAIu2jmbzNCACsex0L6RjL+HfCsYiH7YaDrEwmVyTiyJsgU3DX6i4bqQec3xHWs98cMSjBJ3A3PuvPyy/2lw1QJvfSz+rLZKDsj97R0VGk05Utw6XTaYyOjlZURyNh8+bNuOeee7h/1ST0AGBKWb2XN8nj22aaFoEtqRcvvgSaU1mmTDjtnvO/cIH06Kz+Yho008HDSH96tHrkfXbxFmXGvNXrYyM2u2FQDxr9INoIup/VHHedfQvVEoXnSc8W5DWFn+xzpuWzVnC+owa/OggVpD56XrI6UPgMYImJH72zoWvQNat8a9TZD+ZWn9u5WEGnHtI1qlnXNeD0ZIsjmWoK61ydGorBlGxQJdFYyyQcLOIhXp4hghxLtfHZZ8KGO7kOCZU1R0qv0ub1EEw9hGy0FUeO76LHvMDQNcTDBv29FE5ojXH9FX+K0DXQ+gHr91hY556Lzjkz6LnepSnuejJ+8jyRLpLr2XvXe3aKG4d4vwnE82I5ts8agI7ZTdzczCi0TeZCBvZ6AnF6O2YXM/uRU7J74PRsVIJquY24+1G4l6cn3bMcTjbKJvW9vb3YsmVLRY3fc8896O3tragOBXewBNcPNPrl6E5iNDMPzTQp6dUc0m5phPxz4IPrrDLW7/GRfqaYkxEgJ+VsbuNSMPISwzSfgzhu3bSPyxsht+oJTzDLdmZx3BpDQor3qhRx9Li0nPO5UUulRMxk76ekj2XVz9Tj1UipojGjyUjjdIBpQi8YldGxQZ7Ik99NE3o+ixMP70FkorbL1ITUR9KsZKPYR1bfT0m0AyGVgSUnLKlja4gJRJucN3Q5MSPHWqMhSnAIuTN0Dam2GFcPe23nnGZrDDpAhhEPG1TGAVjHmxgjwdCcyU9rjF8BZMerwZ2cOdVpaHbiFwvZ58iqpHg0b4SR08NIR1qg02hRb/dK14rkkrStwZlAds1rld4TFqwh0xwxuPsSC+k2Q4+cJ/2Ih3Xal47Z5L5ptD22RfbZIiRS16w6Y0KQMrlOd7mvgCWRYclpqi1On4tYSKfnuubxwchsnR2zm2xtiHMqGnyANV+lnpPJgJe+yMqQe1FPYxFRNqk3TdPBC6xQT7AIrnCfPNw36oXzifjYYcdzei4D3cxSYmSRYr4vLUdeK5DqYj81Sgb5spYxwdbBnreIpd3DzpNEzggplA1lx219dzJW+DISEl2okyUbRj5T9HrmsyArBl6MEWkbUphyr6VQhn0W7EYAMcSKJF3LZ4rnBEiNCIbo+zYyUHhGyFw5SphIE9Zz0nLkT77b8Ypy34vGRdHgnn3oBcDMI5IehmaaiKQt4k4MXvKuzR54kTfKawj2PQtDLkMgJKwp7D1uKB42KOEjJCgkEF+ZF9/y8mvUQ8uSe5YTkd/XLDnB1i4BS+oIgWqOhGDoGq2X1BMP65gRDXFe6+aIYSPZGuQZbZojBl2hiIWcKYzowSWGVCys0zGL5K+kB13TAU1HXg9B13WMNifdiwt/s+SStM16yEXoGmzzx2aeYUl855xmKXlly4j9YI02Uo4l2bObnSWVLVEDsZCOjcs70RoN0b66zaH4XPErN9ZPct/iYUM6Ho0paxHZeOF6b3RWfFfYfnmtww/cjE7xdwBojZVe+ZFlkwpydaFaqEhT/4c//AF33nlnRdcr1BKWvtmuM+d1z9QbaeaF4DPxpwXdzCKvWY9SeGIYmGHXhWv5LPR8FpH0ENKRVuQRgZbPwtQjnF59Yd8DeOHcG616cxnkQ1HoZhY5GNByWZgGeWQlryxTj5FL0z5p+QxMdgvyQjkjz5JMsxAgrNvqko3F1A36kyA+dhijM+YBZh4zB17EQOrD1lwLWUC0XBa6CeRDRZ2oxnqxuYwi/BiNXBpZ3Sj2jfbTv3Zdy2UBTacBjno+izx4PbKRz3B61vgoGSPTR5iApkuuN+k9BCCt3w7Js6iHYGoGYuODVttcOcYbm88gZ0SxsO8B/O+yr/qaCwUZTHqfdTOLBfu34/C8DwKw3vnwxDDGmpLWcxQK0c+NiYmJSevv7MN/wJGZpwKwvPesCRYPG0gzaWGIHlg8LiIetoiVaZpItcXx5yfNxHeeOkD11ECRABCtO3kyCQcgbTVHDAyN5QBoiIV0ZApBjbGQjvFs3qZpjoV0jDBe/IlsmuqQtQJhG8vkqAf5yFiGliUgb1M8bGA8m0cuZ2J2cxjvjWRg6HJjpGN2E/reHUZzJISO2c3oe3eIq4+8+rGQDnZNpgXjGEITWqMhpNri6Ht3yEakZdprGXJ6GLnYcciG3OUOYcPSxcsIl64B0C0P+Z63jtLATnJ/es9O4YnX3rNp2XXNtv0VNNi90am2ON46OsZp52m7DAi57T07hf/+w6GCvt5q87wTZ2H3G0e4dki7yzvmYPcbR9C7NIUbftaHFuZeDY1nuXas1Z04xrN5DE9kYZpFaQ0BSVmZaovT2IhUWwx73rLnvClmUyoaPGRVoJRbkDVS/9/uN5DJmZaGPmeiOWJgeEJ+/8vV2Zfi2mIMilOWHxay9J5xH46AyUJF4UzvvPMOduzYUfY/slGUQi0g82bLzhd1qZT0st5uk5eMaPkstFyWauB5uY+9zvDEMGYOvAg9m0ZsfNA65+DBJdcQL7mRSyMyfpRqy7V8lpHF8J5g1rMeHz3M9yWXASD30he9wjzht9rLcP3S89kiqS2MDbA8lgv2by/2pVAnOzfFawt/k3EwUibeMy2XO/ArFShKXBhPKg+TljNy6eKqCWdUMPEPOb6fZIxkforSK4nnPpsurhZ4iKMg13B/M88amw2DlGPvYXRs0N6Paq8mlll/ccXFeyyKN7isTJUBUVanm1nM6u+DlsvS55l67Av3Ku8jTqRWMJDnNL8sSm3sEwvpSLXFC17aGO5a3WUrQwhAU0FqYei8iU3IYCyk0xUE1vsfDxs2rTa5jpApwPIUknpNsyDLKEgoZB5XADbZBmARyVhYp6kOiQeZ1L1xeSfiYQMds60xs31riRoI6Rqtl/Ucz8EI55WWkSBHCY4IXcdI2Lt+WYyZIG03hQ2phxywJC7kmKEVryHHWAmPDKReIpXRYBF30cCIF/pAyq1ZcgK3UiTeO9nqSaotTu816R9L8qlMJ6RjwXFWfeSZF8cvrizI2ouHDU6P7+Zh56aVcYbdtbrLFhsSC+loYVaRAG86e9kpcqjUO8zKgLxCVqVHN3MAACAASURBVCd9VurYY1+2p/72228Psh8KVUZk/Ki1gYdTBhfG40qg5bKAEeE8+5qZh5FNIxsJg5V4xEf6kY61YdZAH/50+moAFvGS5V1fsH87jiQWWySt+XhHD24kPYRspJk7lvrTY3izoxswooiODSITbQUM1hMcsdVz/JvP4E+L/oq6l/R8FnkzTFcNrHGZ3E/eK2yBjDs8YfUrPDEEPZ9BOtbGzGOeIeiF3MaFOZo10IcDp/0lHZuezyCUHUM2HEdkdJDOL1kBoOMxeV1+LhSjfbVWMViPfzHFoNOqCTtOWRpNsrqgmTmEJ4aQC8UsakifHUuKMZD6MMLpYWQiLTbDD5rGEXKn4Ojw+BAy8TYQzzt9Fsw8NJd0rKSckUvT+SDPEz+WctKzekdk4ijSMee9BzgwGZGMXBpZI+y6IgRAsqrmE5WkdJXcs+jYIGYN9OHNju7C83wZ9dgTiDtu1wymiffmnCE9FULeShF48H3Hyw0NcEqEIpIgImswdBPjmXxBK209w/vfG8FYJoccY1BtXN5BPbnHYQwDCNN6CFgSQX7fuLwDn/zh846kZePyTtzwM7lsz+qzBhwdQzxs4ONnHI//++zrlMCdnmyhHng2fSIJ8LzhZ33YuLwDDz3/FueRj4cNaJpG+0SkLcT7Tv7uPTuF3W8coV5w/0+hhhyXXUmOeNhALp+lqx1A8f6MZXJSw0KX3OsZBe35UKHO4YkcJceAPc6AXE4Iua4B0ZCO3qUpfPKHz3N1p9ri2Li8g5a7a3UXfvLC29AK7+bG5R244Wd9SLXF0H8sLV09SbXF8NbRMVpf/7E0HSPpG5nzOy45Hf/fA3sKfbPiM/reHaZ97T07hUf+cIjW3RoN0cBcIr2x6tZoHAA7DyQ7EsmGpGsardMuh4rRd4L0nYzDyVsu6gIAYEbEntmHeOA75zTb0k3qWkE4WlhRSnvIWkP2eJDJ1MS66xVle+q7uroC+zddsGHDBnz2s5/l/v3iF7+ofsOmifhIv1wzXThv5DPWeYlnUGO8rVwArWk6BIBa5y0NrmUsyLzGs/r7YOQzDh5li4yLfZ010EfbZPWzoqd95sCLxXYG+uiqQ9ELnmHqt3vMi15h1ks9BJgm5h58hrYfH+m36dKLBN2aL8uDbIFoso9/8xnER/oRniD6ZMYLnedXEIg3PJIepm1Tg0G22sDCJWvPzIEXuXYj6SFupcLIpjH34DPWagwbGJnL0pWI+Eg/wgWNNT3PGCHWnDl/kDaN9heeK76Mkc8gNnqYf74gxhSIMRQQAjSdxx4UeO246TDfFtgVDWuu8zYJmPx3yTFxhUZW1iwRU+LYjlW/bAWNfyeLkAUQN6O2MhwN/GcAYHnoOaGey864LGkrFUNL9Oqt0RBiYR2pthg2Lu+knlKAJ4HEQ5tqi+HkRBu9hiWcop6evY5kVHE6n2qLoffsFFdfqi1OjZE7Ljkdd63uwvKO2Tg9OYNew5ZnpUJi/dZ4iu2yRI94jomXlUpNCteSAN7WWIjrk1eYJcyBWEjHnOYINxYSaBwP84GtTtpwsirB16vR4FGyIyshviTOoPfsFK0/pGt0bkVsXN5B52M+YyiIc5Vqi9tWVsT5IgYCez+IR53Uw943fvz8ygJ7jhyz4iFC0utJW6Tv7AoD26ZoSJEVA0MvpqG1yumFzE0atyogC/6VGWck4Jc1rMh1MwqxDGxAughN+ElWrtgVA3Fn396zUyVXBiYT9duzKYjJSGkJMERWkHxYMhaL0Gs5S/Mu+yK3rrOy3FBpTmbUTkYFScGC/dstz34ujfDEMEfeI+khzBqwlvFZWQULNsiXJa8RSbpLQo7C40PFtllPcS7LBHlaY2IDU4l8yOoP6acJIzNG58wKEMzbAlpZ4mTFDRTqonEE9v6ydbhlVDHyGT5DTuE6zTRt18kIi5FPF4hwoXyBQGv5LCcRIhppUofOrC6IAbfF1JrWuKVBkYVnIyIQfp6M8qsjQJHsRkYH6fVs5iEurSdZXWH6J2ZNss1tNTPj5LIupJEHNeZGiwafLJuTRgKpyXmAvot28Mf4zE6WQWHL2CQj/QVjg5c+We8Eef5EQ5zEy7DG9AfNNyV9rA6aMVGU6zFEnt0Aq/fsFPR8Dqm2mNTTZslCTMdsL2JZQsIJWWCJGWARDpGIpNriSCaTVHPeMbuJEhwi65G17CQfYevtXZrCug+2S0kz6dsvP32eVZaS0yIxmyGkmxSNjCYqCYpRrzM7Xl0DEokkd92aJSdYpD+s07Gm2uKe5Qt5aCi1pwkZrzjujcs7aZApQDTx8swl7H0gpJpkBOo9O0VJLk1reLyVNUdMWekkgWLLEUOBGDjkXpD27dl0+DqJgaBr1mZR8bCBE1pjNnmZOMfis8MGwLI4PTnDUc5F06ZKnm2g+Ox2zG7iiHHxnTC4v1ujISuuIxbmsvSIsQBO7YgSnpZoiI67Y3YzlRCxKBXsyp5OtcVt2vrepSnp2OsFitRPI0TSQ1SyQTXlpono2CD90iY696KX1fLGk+vIl/mMobdshIlq5AVdNCHkLHm3E3meXFD9eUEbbsvRLqwKkDaaRoukjiUlkfQQYiOH5QTaNJH602NM2WF6fMbQQU4TX8yfbydVYvrQ0tlnLJB5kyE6NiitJ5we5vTqRsba74GQQDLOyOigNXemCSObhp7LIDQxzK0ekHKAPHVneGKIJ5cELsTSSW5TTFtanFONI4/2lQvr3ha9/xqz6jJz4EVqrIrzLxJTt34F4cF33mCMqV+IoxCzIokxEqwhTgxXajyXMFDcMzY53CeyMpTLMsTdtBmm4vsbnhjC8W8+wxmKi3AItUILJhAdP4J0pAWaZnnnIlFe0te7NAXDzFJSmWqLc2kv42GD07sDoPIIGe5a3cXJGQgIOeuc00yJBVAkC3zZuI08uRFeUhdbB/s36VMpb7jMkysSFTZ2gPXqEwNCvB4Akskkdx35nRgxBF7lC6W89KQ/lve6U5oSkk0N2Xt2SprVhO3b6ckZNg+2SIhZo4aAbdst53uxzRg3l8T4kD0TBGuWnMDN/V2ruxAL6eia10qvIX0X55ikQSVwIrdiPUDx+SJB4+yKBFsLif8gsSDsteR6cTztTLwJAfu70xNA+k/OG7olCSt672O21RddK6YlFcdP4jDYOAVZHfUOReqnEcgXMZtnmmivyZc2CWSde/AZy1M6MWR5WwsBsezyu57PckSKBlEyRIo1BNwgehCJR1DPZWi9pJ5Z/X18EKmb5IEJ0I0UiLBN0mGaUg8kS3jCE9bKgswrTQiv6MGPpIe4PjtBJEjWNULwrUBOLemOZXiFx4cwY+gtAAUDwTSpoUBXDZhYgabR/qKMBwDMHC3HeY5pf4alhgU3P4whJPa3eA8KAZW5DDUo+ZUAF0OJWS2JjRym80pIJLmH7DzzxFRef9lw3HNBWrjYJ0HGxJ63VpOytufZFqyaz/KSKCY42ppX6+/wxFBx8zUPnn2ADxAPT1jvvWikyxBJD/vaH6IaiKaHrdzmuuWdOyVRlE7QMpljnGc0jJxFYgrzQ/Ldky/yUh5lUc7An4tzchxCInqXpqRSGwIvmTx6lxbJqUiyybFyIAuqBYqEk28j5qkdmYHhWb5Ant8ScSEkCNWtXjJvuqbhhNaY4721ZFTO4+o9O8XNP0EspNNn645LTqfH3e41Vy8l9x2ORhlrMLmt2gB2A1BmgJYCrWNpihoq8bDBPQ/sPMjSbcoMQNYIFfPj65o1ZzQtJkPS2TbZPRjYn6xUrSjBsgwlshpAjA6+70UpGRkrK69i4VdCVksoUj8NEZ4YdtWyL9i/nX5BExLLyjFYUjxroM9WD/HwA+AMAZZwed0US5b9hBDBWf1W24SIiGTdCmS1k1GW0LJyAbYNsZ8yCQ3bR5lX9Pg3nymO3YHwiPOg5QvzJRgUsw+9QP+e8f4B2qe5B59B+4HHmLLWvQ1PDPPZdoRYAbY/oUwxLz+X57vEBkIaY9SRlQ5O6kXazlvZkUjd0TFr9UD0EstWUVi5EdvH8ERRlsM+f3RcZr5g9PD3LeQg9eI3zuJOSI/LN1OTXQeaa5+NR7E//0Wjy2le2HFy88tkIqLzSlY7CmTIaYVCXJmJjQ9y9yE6Nui6kkRQ7iZ31UD7cXH6RT4DE9A1DTMK+v4TDz/PkQwrgDYGgxkz0bsDxYwiQYD1Ut61ussXuQKKRgIhL8X0hPL+9Z6dciQlTnDaMVdmtJAYAlbKU+yrXcfOImj5gjiXbvXHwwa65rU67pIr05uTzDPseVnKQ5mmXZYtyQ2yuQZKj1E8T4wMsT7yN7uaIJVsFbTjpN6ibMgyoIqyqyKJJ1mcnJ5talg4jBGwjN+7VndRrz/Jz88aErrmvHOwOJaO2U3UULJkVkX5mZW6tFgn6aO18lHMViQacDIjt16gSP00A01hKGjZZV/KvBe+SCg4Ly9knmZeR008qCyR9OvVkwbaDvRZ5I6SHp7Iiv1krxM9vU6YNdAnlaSIkEkvZg30lRyneJ5o/dn5m3uQlzUs7HvAurYwp5T4CilAOd2+zWtdhG3lolCP0/yJfSVtFWU69vtFjUOTjzlg27dSj1rEm72PMwdelBJ+VtYl3iNRwgMAME1GniX3hpcCawRqEsmPtJ/5LCKCgTlroM9mUEbSRSOErP5E0kN0ZU0ee1KMc9GYn3ouI32n2aB30bMPWIYoL1sbdox5IfWJ7zZgPZsDAwOO1wUFljzohT0juua1Uk87IfPk51kRefabsJan5QixDRvFL3mRpBDvqxN5cUuHR/tOCODZcs89S5YJOWcJaClvd+/SFEe+vMDNABDPsQQ21Ra3Bemy4xD74NV77RUiSbTNNXOfyLk4EyNAwHqz2T7L0nMSDbuoia8WnIiw02oRu4Ije05ZD7nsGZEZKGxZpxWYWCEDkAh3si+fOxLwHCqssmiQB9Cy9YptsPNA4xiEAHDWLiDSKl4u5rz6UG9QpH6agHzBs143znMuIZ/sMZYgkeNunlwix6DykxLkNpyWe14JnLJucP11MRzEnNqcjMjkSZEIqTaZIXSszCY8MWQjU169mIZh9y7JCBM9J4yvlIbfiZyJxhB5RmztliC+kXRRq8+uzkTSxTmJjg3S31ljjL2mabSfa3vB/u08Ie7nZTYkbzoLmSFWOhOMBMI1C/ZvtwJV86zhVCxD5s6KcSiuWhCjJsy8R9RQo9mChmnfSZYkIhvTzLz8ORKCtIFiHAY7h2Q+SP+K+wvwkhvZu+32/IrtsPW8+Wb1A2XJl+tCsx+artGViY3LOzgdMEEyaaXejIV09Pdb96T37BR0vRCghwlKOGfFw5z8gAXxvjp9uZfSvotjYL25Ypudc2Zw7QSZeUMM1HTTc7vJNwgRchqfSNruWt1VRopL2GQ4pepwk0exG0KVKi8zTESvc7mSJxm8rOIUA4SFlQaJkeFG7mXHghwLgRPZJ+3JYkHc9l9gg8dZeZBfwq0XYnDY987vKlo9QZH6GmKyUlpqzBcv55334S2XfbG7eXKJHMPNy8ciPtJP9dwyCYyolxa9nID7eMg5mRyG1SqzcMtKo+cy3JwWdf92bTH1pDvoQglJ1XWdkqmQRCYjXiNro1xQj3t/n+M9Y8nfYOJMaZ/IM8GuzoQnhunf5HfxupDkOAsxRWmpVR8+1WfeLpVxlNsI9TBBvQR6LkONl8HEmVzWGjJ3JMZBHIM0JqNwPTUShbgGEkxsZYuy7kEkPWRLNRqeGCoYmPb7R+aDSLu0gi6fk6gV5kisQ0raPRiq6XRpLX4Q6D07RYNyDb0okSBf7rJNpzrnzMDAQD8tC1gkYaHZ70m37NYXgPHkC4TWC+EQiYx9oyC7h1nsg1dSQryYLGn1E2TLHhM9oKUgShrKQan4Azdy6kb4RcgMk2rCS59KZdpxMrC8HJMFAvuFX4mVLEZDrIN9ZkQJDLvyoMGbQc3Ceu+KzwQp33t2ylPgc70gMFJ/6JD3TAe7d+8OqtmGwmSltCQEpNQXsVMueSdvsRcS7QWibl2U/bASDwLi5SRlS+m/SVk//dIlUhLW4+zUhhOamuQ7WrIklcwBm8XH6RonyO6jl/mhfXEYA2v0DCYlpN6BbJP63FYcZONl+7Fg/3Zbv7wEYAMkq4xcbuMaBMoEoLI/2TSlg8kzESlkh7LNMStB6+8rjkGimeeDtfn0r7MG+qiHfc67z2PmwIsIFzIYaV6kMoxBM2vACjKPjg0iOjbItaUJhokbSF9lxnWtQUjJ3Pf3UY87wUKzX0p+ZARt4/LOijP2kL7wmWP8eT3ZPN62+oXMOU598ERUWcmCS3k/BoLX9gC7pMERLuWcgl1l8ydLL+rUN9mxoLy3blKRIOHnGRD7JIsrkP0NgKbUFM+XMoidJFh8bAafGac5UkxZWWp8onEjlifPwwmtxWB2Wd793qUpLg1pvSMwUv/5z38ejz32mGuZdDqNe+65R+1GW2NQssyQLK8SF5aoORFDUQ7hByxpZ9skKKXrFsmwl7IiZKSd76Pda+mm13fC/PnzufViG0mN8LvheiXiItggWTeDSQRLvmXPByuj8YNyVxHcnguAf17dyCXxUmuCRxoAF4BsnbNnqrE2ZTNpxiXxvpBVKfEZZDdzYw1T0cCQBaKGJ4aFYGmr7gX7t1ODls9KxBsQ7HjE9qJjg5h78Bn6DDtlWPICt5gU8XmuNuYdfdV27PPdH7A0611zS15v1w7zmTrE3/3Cq6fXkaxLgh4rgde62HJuRLfU3FRDh+zkDZZJhbhNtcRxSLzbTgGmlYJtSybzqRXY9rl7zGWr4Q2fjcs7bfecpNQUy5ciwE4BxCT1JrtxGLnPsZBOdwsmkBkHso3fRJC4m655rZ5XFYJYwag2AiP1mUwGd955J771rW/h2LFjtvN//OMf8fnPfx7bt2/H8ccfL6lBoRZgJRG2cy5eWsCZONs8tD6InxM5Jh63cgihW25pGVhy6LU9mYSkFBKJBKKCrIH1LEaFvNpeDBVbvwSvuFdvuXhOFkRNpDOE1DoZHV7IoZuX3evzI1u5kYEE8JKMScW9GsTrTE5iRMroBU+6GAMg6weph1wXkcyROD9OnnG34F02nmPmwIv8qgArLZPUQSRisiDtICE+z7UC0coDQE9PD3qXpvDP113iux5Zpo5yiJ2YUrBclKvddiOKMlLuVN4tk4r4e63QMbvZfXxOmWRkMpSgjaYyjJxakny/YyUrQKXuudNmYKXShIrl2Mw7IlgJGo1vYYPmJTnyZf30SuadvP31iMBI/b/927/hpJNOwq5du3D99dfj97//PT33k5/8BF/84hfx1ltvYeXKlfj2t78dVLMKHlAqIJYr65XUunl8/UhvHMrG496/uERyyRJlT7KcSvXoPmQ9lkSi2Cc2OJYE8YnwY6S4SVxKZThyq5PtM81p72B0eCGHTqlD/UqkvIB4tMkuxoA8+FnL57m+kzJOsjRpCk5hhUSmoQ+CPLMxItbOzTx559JfumRvKt5/07Ocqd5BtPJ+0FzIjuOGcgmWm8a5nLZEb2ElHnIZQfNDhCcboo7fPXuPPKCU/h3w+IKoz/NqSh0FdpYKbJXBKTi11PhFuYxTelInyGQ3Tv1rFARG6ufPn4/Nmzdj9erVGBwcxFe+8hV873vfw5e+9CXcf//9iMfj+Md//Ed87nOfQyzWOEEHUwFuJCksZD4Jos5ywfajvb3d83U22QPr/c7YV4289sMryfEzF3PffxVzDz4jzXSTSCTcLy4rXUQRoteeHHO7/8SgYDPkiD999dPhnCxuImi4acXD3DPEb6rlFLgtbrIGFOQ1bKpPyRzJ5F4i8S5ntYIF22dqwEi89qyRI129q6P8814g7iLrtXyLA6n3EuTqd3OhkuVKeIyrJQupJmpFOr0ExnrJlU5QT2TZDZP5DPgNIHZcCfKQn7+Ud530xSmw1Z7uUr6q0MgINPuNYRj45Cc/iX/6p39CPB7Hf//3f+Oll17CkiVLcPfdd+O8884LsjmFABAf6Q+MSHny+spyZxeII9uPZDLpe/meElBGy+vm5BaD6og3WpopqAJyw3ra20deswIfYzGbB767u9t1VUVjGDG5NhQqboBSyghh55k1KtzuP5VBMR50PwRcNF7YMVTTMyyu0EjbYkiu3aNu0uOZaAtHuktl2yHpKNmVAb5v9hiNWe/y2n5iHHgFye3vmn6SkRZxbfX32fZZ8CLXKoVaZb9hEfWp4z8l0cb93d3dzf3tZZMZURtcSsZSCpOps64WOB15qfH4lE9K23MJfPVD4IIIIJ7qkO3j4Aa/c8p64Dcu7/SUkUrcpdapbbbvQe+dMFkIPKXl6OgofvWrX2F0dBSmacI0TRw8eBBvvPFG0E01HCYrpaUb/JDVUmVnDfS5SkUMw5CSBFlAXXd3N0466STPfWPh1RgQs9G4BeUGZfiQvkWjUW6uDMNAT08P5+FNvPcSgCKx1pl8XoTMt7YWP7xYsihbCaD16LpneRMxPvwQ+AjTD9ImGSsJZnRLncmWF+H1eRUDg2VtGXme5OpmlhoDLElPR1qLaU8ZQ7DUZl7FNKeljRdZTACJAfACktvfLRic7gotSYcq9jGI531iorSkZbLgRPB6enr4cuVo6EvIWMqtbyrAa2Yez/U5BO666dUDy2JTJ/elHowLpxgF2e9e62FXXeg+CEFImhxkV353/q1XBErq+/r6cP311+Pxxx/HKaecgm9/+9u4/PLLMTg4iK9+9av493//d2Qycm/RdMBkpbSUoRxPXKVf9CRAWiSczc3N9Hdyrqenx7fGXPS8i3WKdaRS/MvtFOwrkqBKAgBZomOyGwcJfWeDaMnPeDzuWV9PyDg7dlKPYRiIRCK2utg+0NSd0ajjvIplSbloxk6gybn2kdfo+Nzg1KbfZ1DqVRd23iWIjFpZYWCamPPu89y58MQQwhND3Hy6bebFotTGaeKzJlutKWlQlzhfan+Kakhv8vl86UKThHohZAoCfHrpZVKkycjCM5moJ929U/agcuacjR2pVdanejCQKkWodBFv+P73v49t27bBNE2sXr0aa9euRSgUwkknnYQPfvCD2Lx5Mx555BG88MILuPHGG8v2wgLACy+8gJ07d+Kll17C4cOH0dzcjFNPPRVXXXUVOjv55dJ9+/Zh69atePnll2GaJk499VSsXbsWZ5xxBlfuX//1X11Tcm7atAmLFi3C3r17cfPNN7uWaQSUIkeapnGks1Q5wzCQy+Wg6zpyuVyxHYYYdHR04O2337aVYbXk4jlyjKz6AJZnX+YFlF2r6br0OGBJfF555RXpuNw2N2pubqbteyE+snlMJpM4cuQI/Vu2WhGJRJDNZjFnzhwMDAygK/w+BgtjiUajnIFsGAbXl2g0itHRUcRiMddgYfY+x+NxjIyMAABmH36RKsvZ+ZM9F16ItuweSNOHhsPIZDK0vNtzSJ45GWb190lz6QOgQbPpSKut/KyBPhw47TIs2L8dRxKL6flSmYjc5thPcDqfgWhIetxPGxrjnR9pcf/CCnpDs1qS+u7ubrz4Yvk58xea9uDaWpMghWAwWaS93u9lLeald2kKDz1v33iv3Lp8X1Ou5K2BstuUQmCk/uGHH8bs2bOxYcMGdHXxyxiLFy/GXXfdhXvvvRePP/44brzxRjz88MNlt/Xoo49ieHgYl156KebPn4+hoSFs27YNGzduxK233oolS5YAsAj9l770JSxcuBA33HAD7ectt9yCO+64gyPgV111FS6++GJbW7fddhvC4TBOPfVU7vg111xjG+eJJ55Y9pjqDU5E2Kkc+RmLxSgxBLwRg2QyCcj3cgJgkbd8Po98Pg/TNDlSzfZDJLrkOIGMIOq6biMfMo2/E8olPolEgjMoZN5/Qsz//u//Hps3b8YiHMKzhXkWjQBd14t90fg6CCEl80Ou1QsGTyaTgWEYiEaj3L3TNA2JRALDw8P071AoROfYjVR7MQq9zF1TUxPtk1gneeZk/Zg14EzqAcszzZF6pi9EP+9nn4C5B5/B4PFWe0EFl5YyJLy0w2b9OTTfPaapmkHK1UZPTw82b95c9vXiplNBpzd0wlQgEeUiFtKRyeVK7OncOKjWvaxXY2Gy+rVmyQn4yQtvS8/5uQdeN19rNAQmv/nIRz6Cu+66y0Z0CZqamnDjjTdi48aNFW9K8pnPfAa33347LrnkEnR1deH888/HbbfdhpaWFvzkJz+h5R544AE0Nzfj//yf/4PzzjsP5513Hr7+9a8jHo/jP/7jP7g6582bh0WLFnH/MpkMhoaGsHLlSpuE44QTTrCV95OGsd6h6zolt6JMQ9M0ekyUScyfP5+rg0AmgRHr1jQNc+bMcewPGxQq1muELEmJV2kMK0URIWunUmiaRoPwSklo2HnTdZ3T+ZL5SSaTvuoBihmFyByx552eXVYCJTMkZM+G7PdIJCKda6f7xcYelIKjVMdBQuWkcacbmY0OFspZpDo8UXrTLTaepFbk2Gs7RFrjZafYRoaTXK8cTKUveRH1sgIRDxuIhR0oSADBslMF9foseslWU8lxJ7Da90qe5aDjO+oFgZH6L37xi5gxY0bJcsuWLcNdd91VUVvHHXec7Vg8HseCBQtw+PBheuyll15CV1cXl0KzqakJixcvxksvvYTBQRf3MIBf//rX0DQNK1eurKi/UxlEm00I39q1a+k5Jz03C5HAivIp0gZLKNkvb5HQsfp8EWJbpG6vEPvuZKg4XUfIOauVF0mrrutcvWL6VzI/RLKUSCSk5D6ZTNrmhpQl10ajUTp+PmOQxv1Nfm9ubrYF+DpBbDsajdoMB03T6P0Sg4ZJvIPbvRbvnXg/WD06S4BLadxZD7m1+/JwkfAzbYpEfyrTkHJWH7zI94JEyZSwsGe3mY6ohabYK1lqjQbvQFGoLbzm+/d63MszSHd7noKkvFIE0wV+JAAAIABJREFUnv3GC5y8sZVgZGQE+/fvx4IFC+ixTCaDcDhsK0uOHThwwLW+p556CkuWLMHcufYtxrds2YLLLrsMV1xxBb761a960nOOjo56+lcvwcQy8mYYBkfQiWeeeIHF7BEEkUgE3d3d0HWdI0Yyok3Q3d0NTdMQjUY58rt27VoYhuFKLtlz0WiU9lsMHvWTD5/0j5CHUgGk4nXs3+xcsP0hQaxs31l0d3dzhgshvSLZTCQS3DHDMCihSSaT9Hx7ezudK3ZcJ598Mu0nIfLJZLKkEWTFP1hGtq7rWLp0KW1TvO+6rmPFihXSOsi4EokEnR/RwGENDE3TPAfXFlOW+t+YjL0fswb6KJPXNA2ax+ehFPzuiOwVrhvGeViJmApw+nxSZN9CI5GkqWxENxImY9OuSndnnsoIjNT39fX5+hc0tmzZgvHxcVxxxRX02IIFC/DKK69wmulcLod9+/YBANUKy/DEE08gnU7jwgsv5I43NTXh0ksvxWc/+1nccccdWL9+PQ4fPoybb74Ze/bsce3jddddhyuvvLLkP1ZCNFmIRCJSTxshY+T3RCJBSZhIRljtdjQapV+ohEiz5WWkoqenh7ZBQFI/cgRO+HRPJBJobm6GpmmY+/4+tLe30/LNzc3ctbIle3bsbB9Z6UulYMmFzKvtdp1MPkMMFwCYPfAiPZZIJDCr38qLz7a5bt06ANZYiNyIjIu9r+SaSCTCGzPMnLNzpOs6TJiIRCLQdR3f+c53uNUBAmJk3XTTTdxxmUFDjDF2XgzD8OSZdVtNKaVZF1GK+NoyGE3ixk2yDdTciPlUIe3lwonsK1QPlRKzsDG9aX29yKgmA/Xar3pAYGtfN998sy8P089+9rOgmsbWrVuxc+dOfPrTn+bkGx//+Mfx7W9/G1u2bMGVV16JfD6Phx56CP39VqYDN0/rr371K7S0tNg2zOro6EBHRzHV0uLFi3Huuefi+uuvx3333Uc9kzLcd999ttzoMshWF8qF1yw2IkiQJlAkWtlsFpFIxLapjNM8zp8/Hy+//DIMw+CIMMk6Y5omrXvWQB+iBfmWSBLXrVuH+++/XxocCwA6Uz6RSCCZTGJgYAAjIyOYd/RVJBYvxv79+wEAqVQKr732muO4CXkkwZmhUIhmYens7MQ777xDy0YikcBXVURPuIy4kmPEc80aWWLAaDKZxKxXnkR01izuOBtYSNrs7u7Gk08+Sckz2xd2dUDXdWiwJDokgNkN7LUrVqygRqvouc/lcmhvb8dbb1nZEy699FK8++670jqJIblv3z6aJYgEArPPvDgn5BwhvaU+s4hRQHP1F+aRZOkhm2nJ3jGvRNkt4LhcyDZQU+Ahy3ijUDtsXN6Bf9m5H4eOlbdJmdvOotMB0zmQu177VQ8IzFN/wQUXSP8tX74cZ555JuLxOEzTxIc+9CFccMEFQTWLhx56CD/60Y+wbt06fPzjH+fOXXjhhbj22muxc+dOfPKTn8Tf/M3f4M0338QnPvEJAMAsgegQ/OlPf8If//hHXHDBBZ4I9owZM/ChD30IBw4ccN1wpampydO/IEl9JSBk8eSTT6Yebhnhc5JksLpvkZwSMsV6X2X15PN5mrM+Go1SuU80GuUMhbnvW6svbhpsoOihLgW6kVJBHkMINEsC58+f7xgY6gfsHIheetmqADlG5oLIWJw8/EQ6Q8o6td/T08Pp6aPRKLZv307lOix0Q+dy2JProtEo5gz8gZP/sPf1pptust17Mr+ixId48cV2xEBm2TNZCrMPv0j3AtBcdlotJbFibzl5BgncAniJDIyVs8nKBQG/9UzmCkMQ8ErWxYw3CrWFtVOo991dRXTMLu0gU1CYbgjMU09SRjpheHgYd911F9544w38y7/8SyBtPvTQQ3jwwQdx9dVXc7IbFpdffjkuu+wyvP3224jH40gmk7j77rsRi8WkQZmAFSALABdddJHnvsjkGo0KQpjT6TSOHTuGRCIB0zSpXImQN+Kxnz9/Prq7u/H0008DsK8OsCsbYkCm7HcWoheYkMtIJILOzk4MDw9D03XMO/oqR4DZVIykfDqdRk9PD2699daScR1iak5WCkI82mvXrsVtt91GDTkxfz47D25GkIyMkvlw0/qyRPumm27Cjh07pBlpWAmTE4Fk55UgmUzil7/8pY3QR6NRxGPFpXO66VRhjhKDLyG58FwMDAzQMt3d3dzfc+bMoXMlBgyLhgw7r6FQCB0dHTh48KB0POIqj7iaInrudV2HkZN7CmcN9AGCgZ1IJGiAvaXjL8Z2zDv6Ko445P2PRqPIZrPI5XKYNdCHUDiMlpYWmwSQpG+l7QtjK2fVLYgNuxoJiqxPDyhdtYITprM8p2aBsi0tLdiwYQNGR0fx/e9/v+L6fvjDH+LBBx/ElVdeid7eXtey4XAYJ554IpLJJPr7+7Fr1y5cdNFFUs9mJpPBzp07sXDhQs95548dO4bnnnsOp5xySsXpOicDIglsbm7mPK3d3d0c0SIe4lQqhe7ubiQSCbvO3aHuaDQqJapeiKcMkUgEJwz9EQBPctn+kmBPQuSj0Sg6OzttRJNt28nrzerMe3p6OGnJySefbCtPxs+WY+tesWKFqzactCWWcSL7rOfXz3ySFYzm5mYuSFUGy6iLcDIgYjCzYK/v6enh/pYZ1OTZENtNJBJFg6Gw6sPGa4hgA7ll2YX8QGyHjHHOnDmWAaXzzze7isC23dzc7Jg2lIyXBPuKsRKyullMBUdCEOju7vZN9Br5y7+R+66gUE1MZ3lOTbPfxGIxLFy4ELt3766onm3btuGBBx7A0qVLcc455+Dll1/m/hG8/vrreOihh/Dcc8/hd7/7HbZt24YbbrgB8+bN41Ivsnj22WcxPDzs6KXftGkT/vM//xNPPfUU9u7di1/+8pfYuHEj3n//fVx33XUVjasa8GJkNDU1cR5ekVSJQWTkfDKZlAaYid5ikYDKDAA24wlLfkoFtQKWh9QJxOBIJBKUSJI56enpofEVsvYAO7l38vDLAjdLecUBy8MujstNckPgJbCPXOMl1ztrPHgJQE0kklz9JJCWJdxin8lzIJsXUlY2LiLJSSQS6Ojo4J4nNoBXNGLEcbOyErZMeGKIk/eIO/Oy5bu7u2EYBjo7O7lYBi/GglNWI7KS1dbWxrUFuKdoFccy3dHT0+NbztHIX/6N3HcFBYXqoOZJYsfGxnDs2LGK6iBGwZ49e6QZZx555BEAlmfrhRdewCOPPIKxsTEkEglcfPHFuPzyy23p8Qh+9atfIRaL4aMf/aj0/EknnYRdu3Zh+/btGBsbQ0tLC8444wxs2LABCxcurGhc1YBs91UR8+fPx/79+5HNWjtpVprdJR6Pc2329PTgl7/8pa3M2NgY/dtJnsLeJxnZTCaTjpKESCRCx+J3TMlkEoODg0gmk5xEQuZhFtMpNjU1IZfLOQaRlupLIpHAq686Gyp+0N3d7SndKkGpvpHVrmQyCRTsoRUrVmDHjh30PFn9kBlzgHyjq0QiYTOwnPrW09ODrVu3ArCe3bVr1+IrX/kKkskk/vjHP1LJjWjQzj78IlDwdhMZTiQSQSQ97Cp7AYpB0US+xUJ83tkx5fN5vP/++7ZzF198MZ0zgq6uLvp5ls1mbc816QOR4VjpQ02bVExBQUFBYXqipqR+9+7dePHFF7ldR8vBN77xDU/lUqkU/vmf/9lX3bfddpvr+TVr1mDNmjW+6iTYsGGDzau2atUqrFq1qqz6vIDVALuVIdlhRIhL+168uGxKSCcvItFJi95kkYSW8jK79ccpB703T3QCL7/8sm1uCFGVbaxF8MEPfhD9/f04ePAgNZRKQSTTsVjM0dPthmg0ajOoNm/eTK912sRLbEc0wghk5Jvo+UU4SYecVo/8GF6sd76npwdf+9rX0N3djWeffZZmXSIGiNh2ORmL2IxIIsRYCoJk0lrNePLJJ+kx8j6ROSNzIQYPk8xTLMi4CAzDoFl/xL6Vq79XUFBQUGhcBEbq77zzTsdzY2NjePvtt/H666/DNE2afWa6YfPmzZ5SWgYJkj6yHCQSCRw5cgQAKGGSeb5lhJHNzFKqDba+np4e3H///Y7lWWLrRD5JGfEcu/mSF4g5zru7u227woq/E3JGPNaEnJVaMRDngeSYZyGTpnR3d1PvLiGxMoJJrmWNJCfjhqysOM1vMpnEEIrPhAzsfZKNmTXeyMZkToaEF5BYh2984xtYu3YtbrnlFjo+YtSSgNyxsTEbuSd/y9KCloK4msOCBFWTe9PU1MQ9E26rEyzRn5iYoIam2EeyqiSm8szn82qHHoW6Ru/ZKTzyh/ICm1VMgYKCHYGJMXfs2OH47+mnn8aBAwcwZ84cfO5zn8Nf/MVfBNWsQgDYv3+/a2AowG96BNiDIAE7YSzlWWb16Wx5N9LNElsnktvT0yM9R46x/RKDFAFwWVmc2hZRKnbBy+oAAMdYDxZs/3t6eqgBRXL0i2XcrneD03hJH9nzK1assPXLrT32fHt7u60t2TXd3d0l+85ucgbI7y8bQCuuFPnRp+fzeXqd0/sjrlZ4MapIP9gN08RzQPGZk9VDxzHNnPWK6DUWKokLUDEFCgp2BOapv/322x3PhcNhzJw5E8cff3xQzSkEiIGBAbS0tNiW8AcGBjhNO0tcZZ5V0RtNPKekPHuOJaAEbqTZqyfXSwApq/FnVzKIl1PcXAtwJm3ES+uVFPb390vTR4p9c5PeiGNkDYFEIoGjR49K4xhk13vR3Itz39PTg3v+Hx/sTnLKy9p0uifi80LGyK6IuNUjeya8Gk9c+cGit9tJnsNumsUiGomgv7/fdi/ddrKVgc2u09/f76jT59pmNogjdeTzec+yG+rNn0LoXZrCbueFPoUpAA3TzlZVUPCMwDz1XV1djv8WLVqkCP0kwatXlpAhkYyIZJZ4S2WkS8xCwl4veixF+Y4oqxHhlIFH7FslEPOls0RNJFhOXlI2Swr7twxu8QJepDdO58Rg3lIpM1esWOF4XqxfnGMvmXWc4DRGL4aZUznyXHlN80jGQ/pCMtCIIEYLYE9zKbYtO+fWNlvezeAD+HElk0mbDExs123nXL+Gh4KCgoJCfUPlQpviKEWQWA04SwqcpDBO0hb2Gi/SD9HzXEpWI0Im0XGS47j1AyjOAdmsiMCNsDqdI/pwUXvv1+CoxEARr2XnSjZvLGEt1a44xyL5rNSw8gun9sQ4B7JhGsDfO3E84+PjtuvZetjrrXSa/IZnBGwbLHlm59/pOZcZYewzyubsF7N4sak6dV3HrAFr91oi4SF9Ubnta/+sKgQDXT26CgqOUKR+GoMlLt3d3dzfTplL3ODF0+rXG+tXTuHUntfjgJ2oyoJWCWSeaxnxdVvZkNXjdX5kcLu21HzK4g78tl3pPWPh1cgotclUc3Mzva9ixhkZWCJOyolB7mTnZRnYZ4jti9uGXgTizsiJRIKS8lgsxm0KJzMuiREjSx1K+uK0kZUXVLI6U0+o5B1TmDw0RwwV/62g4ICyP9k/9alPld2opmn43ve+V/b1jYrJSGnpBpISDwDNvz1nzpyaerBKtSXLshM0xHsiplxl890TEHImy1vOgmzMJIMXr61flJIxeUWp/rgFJHrJw++nH15iKVKp6gTNJRIJEO4vklmSBYjF0qVL8T//8z++22F3WibjZY2GgYEBGv9A9P1sulI2baYYSAvw8jFC+gF5PvxSYPe+UKkzFSpFSNeQzXt/huJhA8MT/jJUKShMF5RN6kttFKNgx2SktJQhFApRMs8S2kgkgs7OzpKZS7xA1Co7wQ+ZDaJfMhBJAyEqXkin17SYXnb0DWosYqxDNT2RlWSe8JKhR4R4T9wkRoC3efeCdevW4dEfyQOJE4kEVp2dwn0/Kh77zne+g/PPP9+1Tie9PblfhNSLYyAk/qabbuKCdnt6enDLLbcgEokgnU5Ld2ueM2cO3n33XQDW+09Wn/bt2yfti4yss58bCgpBoTli4Oh41hO5DyltgYKCK8om9T//+c+D7IdCDdHa2orBwUHMmTMHhw8fpsdly+rlEkNy3bp168rrpMf6vaIUgXTaQKgSJBIJuruqG0rFKHhFo8gJyLj89NdPpiTAvvEYMQrI/Ugmk3QPhln9fcCsmdJ6enp6AAdSD1jGzX3CMSKVcTI8ZLIYFmxGIqesTzLpEHl/xexNsVgMnZ2dlNSz/Tlw4ADS6XRJb7umaejo6MArr7xCVwrIjrYKCpUgFtJxFN608rqKBVFQcIWye6cxxCwpfuGFdFabaHrJXV6LfsjgtOGUU3+3b9/O/V0NSU5QIH0tRz/vJSd9uWADvNlN0cjurkBRp0482rMG+lzr1PXSWWJEAy6ZTNriUshPlgjLMkaxcQlOsS2iJl7XdSQSCWkefDcNfHNzM+bOnWs7LltNIPNHAqvrNXuOCoCdmogYGk5ojZUuqKAwjVE2qf/yl7+Mhx9+WHpudHRUmutboX7AevrY9Ix+vhDrwTPslo3HD5LJJPL5vFRWUyp9ppUFRU5uk8mk5/SUfndUrXQTqUrID+lrECsxQT5HMvlRc3MzZ/yRe0yIa6lMMJoHFyK7OywxGgg6Ojq4suxno5PhJ/4tzrMsLz65hpwT65Bp7QHeuDcMA5qmIRaLQdM0m0HQCEGy9fC5pOAf8bC7kRgPG+ia1wpAZcBRUHBC2aR+7969OHjwoPRcb28vtmzZUnanFKoDlrywnjh2d83p+oWYSCSQz+el5LxU+sz29nasW7dOSpKDzATj1gevcNvEys+1lfTBL7yuxjhdm0gkqPHnFgvBvh+VkFeRgJcTvEz6TSDOs7gjLkEikbBJjwhI5hy3sRFpEClz8sknc+fZ3W0jkYhUfqPSZSr4hQZLhuOGjtnFZ2/+ce4SNgWF6YqqyG9M01RayzoCWSZnl+ydvHZu8BocOhmoxOtcaVDlunXrKGkU01SK/aomyfeCaqXKrCYqWY0Ribxs/slnFWvostl05r5vDyZ1e956enocjaeenh6OVDvV42SAiP0XnzdWZiQiGo0iGo1ixYoVnDyJhfguWNl/NKkch+TCV1AICm7m4MblxRWvOy45vfqdUVBoQKhP5Bpiw4YN+OxnP8v9+8UvflH1dnVdd/Seiekb3TDZhNQNlRDOSy65BIC3XUBLtS2mqRT7VYsUndMR4lw6ecfZ30VCzN5/9j7NO/qqrb1Sz5vXfRD8Prdu8Rle6kokErjpppvo6gULYvwTfT4B2ZRO9rzKdPWK6Cv4QaotDkO3frqBzbhVSfYtBYWpDPXpW0Ns3rwZ99xzD/ev1jnqCblndfTTHSTwr9ZkpJGkTvVugIhz6ZTak/2d1br7uRcrVqwop4tVQaVGAQvy/Ou6zpUjx53aIp8p5Ofxxx/vq08K0xupthiawgY2Lu+AoRiJgkJFUK/QNEAkEnGUmNQ7WasE9TI2v/2ol36zaCQDJCgQkioavsQIrDYqeQ78Guu6rtsCvt0y4IjxOWxZMTBYQaEUOufMQO/SVMmUlW6b3ikoKChSPy0QjUa5ALdkMkkzcPgha/VINt1Q6diCWsXwS4inI4GeTIjSNPHvoGJJxOw74nER5DkoJ9DWa59JOcMw0N7ejmQySTX/sZg9fSB5J9g0mLFYjMpwVJCsQjlItXlLVdm7NIU1S06ocm8UFBoXZW8+BQCPPfYYHnvsMdtxTdMczxH87Gc/q6RphTKQSCRw6NAhJBIJx8xFbqhXsrl9+/aK+9bT04Nbb72VO1YOmWs0w2e6wmlTp0QiQTel8irH8mr8OeWc7+npcU1nWskuwazmXYwhEI+JKTHdsuR0dnbSDbLa29vx2muvASgG48t2pFVQcALxwMdCOtK5nGvZu1Z31aJLCgoNiYo89STLTTn/FGqLRCKBjo4OX1lv6jnbDQu/+d39otFy9yuUBnufnAJkyfFS95/d1Kre4DQ22SqAiFL7M8jqVVDwi96zUzTwtXNOs7SMoRaAFBQ8oWxP/c9//vMg+6FQZYhZV9jdLwnEY/VIUiYDpTypCjzqfbWC7d/27dulHvnu7m48++yzAOyGmtPKUCXkthZzJludcHu2SdpLMg+kPKmLeOoJIpEI9dTruo5cCY+rggLAZ7JJtcWx560haABY15+hdptSUPAEpamvISYrpSWLaDRqy6dOUOsVlHomf5VseDTdUe+rFWz/WELrNdVkOQZeqWepGnPW3d3NSWi8ptkUPfqyQHsxjz6J2yHtuaXRVVAoBUXiFRTKQ0WaegV/2Lx5M5qamia1D26ym1ovo9cz+SN9m+4e+ulk2BBC6qQpd3s/nDT6BNV+1mX6956eHmzevNnTe93e3k7HQAx+cu+j0ajUCZBIJLB//356fX9/P72O9e4rKPiFrsHmrVdQUCiNhiP1L7zwAnbu3ImXXnoJhw8fRnNzM0499VRcddVV6Ozs5Mru27cPW7duxcsvvwzTNHHqqadi7dq1OOOMM7hye/fuxc033yxtb9OmTVi0aBH9e2xsDFu3bsWuXbswPDyM9vZ2XH755Vi2bFnwgw0IjSyjqSWpjEQiJcnZdEM9G17VAskUJdtd1QmTLdFi+yo+w17e/2QyaRsDe+/XrVvnen0ikaCkngSdq02oFMoB8dHrGpBTrF5BwRcajtQ/+uijGB4exqWXXor58+djaGgI27Ztw8aNG3HrrbdiyZIlACxC/6UvfQkLFy7EDTfcAAB4+OGHccstt+COO+7giDrBNddcg64uPrL+xBNP5P6+44478Oqrr+Laa69FKpXC448/jk2bNiGfz2P58uXVGXSFIJ46mQ623lFLUkmkSSyxmU6e6ukKL0Hj9Q5RMhO0geH2HsoM4UQiIY3bUVDwCkPXkCuw+lhIGYgKCl7QcG/KZz7zGdx+++245JJL0NXVhfPPPx+33XYbWlpa8P+3d+dRUVz5HsC/bEKDLKIQWUURgqyG4Jao0bjycIkZECE6DpMZNPMmiRqdRCYTNXlRo++oOB7FyRvJIiAi4tMxiFuQQSHqQ8GEFgIuUVEQUUAWWd8fnqrQdjc02CwF3885nCO3bt1abhf+6vatXyUkJIj1YmJiYGJigrVr12LcuHEYN24cPv30U8hkMuzZs0dl27a2tnBzc1P4kcl+fXX1xYsXcfnyZbzzzjvw9/eHt7c33n33XYwcORLR0dE99sEwITB9dh4sdc9cZ+pZWkvdKBULFy5Uu6ytPPfPlrX3RrblNSL8ffnTn/7UK26WqPvYmhlBTwfQ19WBzECv7RWISHpBvYWFhVKZTCaDo6MjSktLxTK5XA4vLy+FF6gYGxvDw8MDcrkcZWVl7d52RkYGZDIZxo8fr1A+depUlJWVIT8/v91tdoWW/+lKeSpOZ2DQTs+S4o1vaykq28pz37JsxowZSnVaOx/P/j0Rfp85c2avuFmi7mGkrwsvGzPo6eqAz8wSaU5yQb0qVVVVKCwshKOjo1hWX18PAwMDpbpC2Y0bN5SWRUVFYe7cuZg/fz4++eQTpakqN2/ehL29vcILXQDAyclJXN6a6upqjX7q6+s1Oex24TQSIkXqrgkp3/hqkn9ek/Vbau18ODs7a1SPSBPCS6iEkXmO0BO1j+Tm1KsSFRWF2tpazJ8/XyxzdHREXl4empqaxAe2GhsbxdH0yspKsa6xsTHmzJkDT09PmJmZ4e7duzh48CAiIiKwZs0a+Pr6iuu0fD26wNTUVKlNVcLCwjQ6npCQEISGhmpUV1MckSZS9Ozc82ezvvRkbX2boM3rXd35aDmXXtW8eil+40HdK8TXDm/FZIm/L3rZHv/IbH2wjIh+Jfmgfu/evUhNTcWSJUsUst/MmjUL27dvR1RUFIKDg9HU1IS4uDgxQ0PLzAzOzs4KI04eHh4YO3Ys3n33XURHR4tB/fOKjo7WKKWlqm8YOtOUKVNUlkshuNGmrgjq+to5lRIhCFUXEPekvuvKUXF156PlTZGqh3Nbm+dPpE7LHPV/f9OLQT1RO0g6qI+Li0N8fDwWLVqEWbNmKSybNm0aysvLsX//fiQnJwMA3NzcMG/ePCQmJsLS0rLVtvv3749Ro0YhOTkZT548gaGhIUxNTVWOxgtlwoi9OsbGxt2ep74lIUj58MMPVS7va6P7bQV12tDXzmlv8mzfdWeQr+m2Ozpa3tFja7keP+vUESb99GBnLlOaikNEbZNsUB8XF4fY2FiEhoYqTLtpKTAwEHPnzkVRURFkMhmsra2xY8cOGBkZKeW0V0V4w6rwZkQnJyekpaWhsbFRYV69MJf+2fSXPR3/09VcTxqlpZ7heeeva2PbbenoaHlH/zbwbwo9L+eBJlg5yRkhvk+DeqazJNKcJK+Wffv2ITY2FsHBwQgJCWm1roGBAYYMGQJra2uUlJQgPT0d06dPbzMzw+PHj3HhwgUMGzZMTM02duxY1NTU4Ny5cwp1T506BUtLS7i6uj7fgVGPdOzYMQYrfZCmU1x68mejJ+8bkSp25kZiQC/8TkSakdxIfVJSEmJiYuDr6ws/Pz9cvXpVYbnwUqmbN2/i3LlzGD58OAwMDHD9+nUcOHAANjY2SqNXmzdvhpWVFVxcXGBmZoaioiIkJSXh0aNHWLZsmVjPz88PI0eOxM6dO1FdXQ0bGxukpaUhKysLH3zwgVJWnJ5IeKaANJeSksLgqJdpeaPWcopKy1H3vvSgJ7+Jop5CmHYjsDOX4U55bTftDZG0SC6oP3/+PAAgKysLWVlZSsuPHDkCANDX10d2djaOHDmCmpoaWFlZwd/fH4GBgQq564Gn02rS09Nx7Ngx1NTUwNTUFO7u7lixYoXS6HtERAS+/fZbxMTEoLKyEvb29li1ahUmTpzYSUesXXzLI5HijVrLEfm+evPWV4+bep6Wo/RE1D6SC+o3bNigUT07Ozts3LhRo7pBQUEICgrSqK5MJkN4eDjCw8OP25UsAAAgAElEQVQ1qt/SihUrFLLuAEBAQAACAgLa3RYRkaa6YiSeo/3UWTgFh0gzkgvqpWzLli09KvsNEfUNXTESz9F+6ix25rLu3gUiSZDkg7JERJ2NI89ERCQlDOr7mL708F97dXcQ193bbw8p7WtHceSZiIikhEF9H9OVb6KUmu4O4rp7++0hpX3V1PPeqGi6fl+4ISIioq7HoJ6ICM9/o6Lp+r3phog3KNTZnk1xSUTqMagnIqIO6U03KNQzMcUlkeaY/aYLMaWlenxrK3UXjjYT9WwcrSfSDIP6LtSTUlr2tECGb22l7sLPHVHPxtF6Is1w+k0fxUCGiIiIqPdgUE+S19O+dSAiIiLqagzqSfL4rQMRERH1dQzqiYiIiIgkjkE9iTiNhfoafuaJiKi3YPabLtTTU1pyGgv1NR35zPNGgIiIeiIG9V2oJ6W0JCLV2npnAm9+iYioJ+L0GyKiFlJSUrp7F4iIiNqNQT0RERERkcQxqCciIiIikjgG9UREREREEsegnoiIiIhI4pj9pgv19JSWRERERCRNDOq7EFNaEhEREVFnkGRQn52djdTUVMjlcpSWlsLExAQuLi5YsGABhg8frlA3Pz8fe/fuxdWrV9Hc3AwXFxcsXLgQ7u7uHWrzypUriIiIULlfmzdvhpubm/YPmIiIiIioFZIM6pOTk1FZWYk5c+bAwcEBFRUVSEpKwsqVK7Fu3Tr4+PgAeBrQf/TRR3B1dcXy5csBAImJifj444+xfv16hQBc0zYFv/3tb+Hl5aVQNmTIkE4+ciIiIiIiZZIM6pcuXQoLCwuFMl9fX4SHhyMhIUEMwGNiYmBiYoK1a9fCyMgIAODj44M//vGP2LNnDzZt2tTuNgW2traSHJXnK+7bj+eMiIiIejpJZr95NvgGAJlMBkdHR5SWloplcrkcXl5eYkAPAMbGxvDw8IBcLkdZWVm725Q6vuK+/XjOeh/eqBERUW8jyZF6VaqqqlBYWAhvb2+xrL6+HgYGBkp1hbIbN27A0tKyXW0KoqKisGnTJhgaGsLNzQ3BwcHw8PBodR+rq6s1OhYDAwOV+01E2sEbNSIi6m16TVAfFRWF2tpazJ8/XyxzdHREXl4empqaxFSSjY2NyM/PBwBUVla2u01jY2PMmTMHnp6eMDMzw927d3Hw4EFERERgzZo18PX1VdteWFiYRscSEhKC0NBQjeoSEREREfWKoH7v3r1ITU3FkiVLFDLVzJo1C9u3b0dUVBSCg4PR1NSEuLg4lJSUAIBSznhN2nR2doazs7P4u4eHB8aOHYt3330X0dHRrQb10dHRGqW05Cg9EREREbWH5IP6uLg4xMfHY9GiRZg1a5bCsmnTpqG8vBz79+9HcnIyAMDNzQ3z5s1DYmKi2qk3rbWpSv/+/TFq1CgkJyfjyZMnMDQ0VFnP2NiYeeqJiIiISOskHdTHxcUhNjYWoaGhClNkWgoMDMTcuXNRVFQEmUwGa2tr7NixA0ZGRko57TVtU5Xm5mYAgI6OTscOhoh6pGPHjnEOPhER9XiSzH4DAPv27UNsbCyCg4MREhLSal0DAwMMGTIE1tbWKCkpQXp6OqZPn640ot6eNlt6/PgxLly4gGHDhqFfv34dOh4i6plSUlK6exeIiIjaJMmR+qSkJMTExMDX1xd+fn64evWqwnIhf/zNmzdx7tw5DB8+HAYGBrh+/ToOHDgAGxsbLFy4sENtbt68GVZWVnBxcYGZmRmKioqQlJSER48eYdmyZZ141EREREREqkkyqD9//jwAICsrC1lZWUrLjxw5AgDQ19dHdnY2jhw5gpqaGlhZWcHf3x+BgYEKuevb06aTkxPS09Nx7Ngx1NTUwNTUFO7u7lixYgVcXV21epx9CfOGExEREXWcJIP6DRs2aFTPzs4OGzdu1GqbQUFBCAoK0qjus1asWKGUcScgIAABAQEdaq834ZxlIiIioo6TZFAvVVu2bGH2GyIiIiLSOsk+KEtERERERE8xqCciIiIikjgG9UREREREEsegnoiIiIhI4hjUExERERFJHLPfdCGmtCQiIiKizsCgvgsxpSVRz8cXoRERkRRx+g0RUQt8ERoREUkRg3oiIiIiIoljUE9EREREJHEM6omIiIiIJI5BPRERERGRxDH7TRdiSksiIiIi6gwM6rsQU1oSERERUWfg9BsiIiIiIoljUE9EREREJHEM6omIiIiIJI5BPRERERGRxDGoJyIiIiKSOGa/6UJMaUlEREREnYFBfRdiSksiIiIi6gySC+qzs7ORmpoKuVyO0tJSmJiYwMXFBQsWLMDw4cMV6ubn52Pv3r24evUqmpub4eLigoULF8Ld3V2p3ZqaGuzduxfp6emorKyEvb09AgMDMXHixA7VIyIiIiLqKpIL6pOTk1FZWYk5c+bAwcEBFRUVSEpKwsqVK7Fu3Tr4+PgAeBrQf/TRR3B1dcXy5csBAImJifj444+xfv16uLm5KbS7fv16/Pzzz1i8eDHs7Oxw5swZbN68GU1NTZg0aVK76xERERERdRXJBfVLly6FhYWFQpmvry/Cw8ORkJAgBvUxMTEwMTHB2rVrYWRkBADw8fHBH//4R+zZswebNm0S17948SIuX76MlStX4rXXXgMAeHt7o6SkBNHR0ZgwYQL09PQ0rkdEvceMGTO6exeIiIjaJLnsN88G9AAgk8ng6OiI0tJSsUwul8PLy0sM6AHA2NgYHh4ekMvlKCsrE8szMjIgk8kwfvx4hXanTp2KsrIy5Ofnt6seEfUeM2fO7O5dICIiapPkgnpVqqqqUFhYCEdHR7Gsvr4eBgYGSnWFshs3bohlN2/ehL29vdIou5OTk7i8PfXUqa6u1uinvr5eo+MmIiIiIgIkOP1GlaioKNTW1mL+/PlimaOjI/Ly8tDU1CSmkWxsbBRH0ysrK8W6lZWVGDx4sFK7pqamCnU1radOWFiYRscTEhKC0NBQjepS16mvr0dCQgKCgoJU3jCSNLAfew/2Ze/Bvuw92JfdR/JB/d69e5GamoolS5YoZL+ZNWsWtm/fjqioKAQHB6OpqQlxcXEoKSkBAKV88V0hOjpao5SWvAh6pvr6esTFxeGNN95gH0kY+7H3YF/2HuzL3oN92X0kHdTHxcUhPj4eixYtwqxZsxSWTZs2DeXl5di/fz+Sk5MBAG5ubpg3bx4SExNhaWkp1jU1NVU5yi6UCSPxmtZTx9jYmHnqiYiIiEjrJBvUx8XFITY2FqGhoQrTbloKDAzE3LlzUVRUBJlMBmtra+zYsQNGRkYKo/pOTk5IS0tDY2Ojwnx5YY78kCFD2lWPiIiIiKgrSfJB2X379iE2NhbBwcEICQlpta6BgQGGDBkCa2trlJSUID09HdOnT4ehoaFYZ+zYsaipqcG5c+cU1j116hQsLS3h6urarnpERERERF1JckF9UlISYmJi4OvrCz8/P1y9elXhR3Dz5k3ExcXhwoULuHz5MpKSkrB8+XLY2Nhg4cKFCm36+flh5MiR2LlzJ1JSUpCTk4MdO3YgKysLYWFh4qi8pvW60tGjR9l2F7bdmTprv6V6rtmPbLu7SfWcSLXtziTVcyLVtjuTVM9JV5xvyQX158+fBwBkZWVh1apVSj8CfX19ZGdnY+vWrVi3bh2Sk5Ph7++PDRs2QCaTKbUbERGByZMnIyYmBmvWrEFeXh5WrVql9JZYTet1Fal+AKXadmdiUN91bXcmqZ4TqbbdmaR6TqTadmeS6jmRatudSarnpCvOt+Tm1G/YsEGjenZ2dti4caPG7cpkMoSHhyM8PFwr9VRZsWKFUtadgIAABAQEtLstIiIiIiKB5IJ6KduyZQuz3xARERGR1klu+g0RERERESniSH0XaG5uBgBUV1drve2mpqZOaZdtKxPalNp+S/Fcd2bbUu1Htq2Mfdl72mZf9p622Zfab1tYT4gn1dFpbqsGPbfS0lKEhYV1924QERERkURFR0dj0KBBapczqO8CTU1NKCsrg0wmg46OTnfvDhERERFJRHNzM2pqamBpaamUcKUlBvVERERERBLHB2WJiIiIiCSOQT0RERERkcQxqCciIiIikjimtKRerbq6GvHx8bh27RquXbuGiooKhISEIDQ0VKHe1q1bcfr0abXtbN68GW5ubu1q88qVK4iIiGizPdJMZ/RldnY2UlNTIZfLUVpaChMTE7i4uGDBggUYPny4wno1NTXYu3cv0tPTUVlZCXt7ewQGBmLixInaP9herjv7ktel9nRGP167dg3ffvstbty4gYqKCvTr1w92dnYICAjA5MmTFdbjNak93dmXvCa1h0E99WqVlZVISUmBk5MTxo4di+PHj6ust2DBAvj7+yuVf/bZZzAwMICLi0u72xT89re/hZeXl0LZkCFDOnA0fVtn9GVycjIqKysxZ84cODg4oKKiAklJSVi5ciXWrVsHHx8fse769evx888/Y/HixbCzs8OZM2ewefNmNDU1YdKkSVo/3t6su/sS4HWpDZ3Rj1VVVRg0aBAmTpyIgQMHora2FmfOnMGWLVtQUlKC4OBgsS6vSe3p7r4EeE1qA4N66tWsra0RFxcHHR0dlJeXq/1DZWNjAxsbG4WyK1euoKKiAsHBwdDT02t3mwJbW1uONGhBZ/Tl0qVLYWFhoVDX19cX4eHhSEhIEAPBixcv4vLly1i5ciVee+01AIC3tzdKSkoQHR2NCRMmKLRLrevOvhTwunx+ndGPXl5eSoHd6NGjUVxcjGPHjomBIK9J7erOvhTwmnx+nFNPvZqOjk6H3w1w4sQJ6OjoYOrUqVprkzquM/ry2SAQAGQyGRwdHVFaWiqWZWRkQCaTYfz48Qp1p06dirKyMuTn53dov/qq7uxL0p7O6Ed1TE1NFQJGXpPa1Z19SdrDkXoiFaqqqnD27Fn4+Phg8ODBz9VWVFQUNm3aBENDQ7i5uSE4OBgeHh5a2lNqS3v7sqqqCoWFhfD29hbLbt68CXt7e6X/iJycnMTlI0aM0Op+kzJt9KWA12X30aQfm5qa0NzcjMePHyM9PR2XLl3CkiVLxOW8JnsGbfSlgNfk82NQT6RCWloa6urqMG3atA63YWxsjDlz5sDT0xNmZma4e/cuDh48iIiICKxZswa+vr5a3GNSp719GRUVhdraWsyfP18sq6ysVPkflqmpqbicOp82+pLXZffTpB937dqFY8eOAQD09fURHh6uMJeb12TPoI2+5DWpPQzqiVQ4fvw4TE1NMW7cuA634ezsDGdnZ/F3Dw8PjB07Fu+++y6io6P5h6qLtKcv9+7di9TUVCxZskQp+w11P230Ja/L7qdJPwYFBWH69OkoLy/H+fPnsXv3btTW1uLNN9/swj2ltmijL3lNag+DeqJnXL9+HQUFBZgzZw4MDAy02nb//v0xatQoJCcn48mTJzA0NNRq+6SoPX0ZFxeH+Ph4LFq0CLNmzVJYZmpqqnLkTygTRgep82irL1Xhddl1NO1Ha2trWFtbAwD8/PwAAN988w2mTJkCc3NzXpM9gLb6UhVekx3DB2WJnnHixAkAwPTp0zul/ebmZgDgw7ZdQNO+jIuLQ2xsLEJDQxWmagicnJxw+/ZtNDY2KpTfvHkTANOudQVt9aU6vC67Rkf/vrq6uqKxsRH37t0DwGuyJ9BWX6rDa7L9GNQTtVBfX4/U1FS4urp2yn8Kjx8/xoULFzBs2DD069dP6+3TrzTty3379iE2NhbBwcEICQlRWWfs2LGoqanBuXPnFMpPnToFS0tLuLq6anXfSZE2+1IVXpdd43n+vubk5EBXV1ecR89rsntpsy9V4TXZMZx+Q73exYsX8eTJE9TU1AAAfvnlF5w9exYA8PLLL8PIyEism5mZicrKSixevPi529y8eTOsrKzg4uICMzMzFBUVISkpCY8ePcKyZcs641B7PW33ZVJSEmJiYuDr6ws/Pz9cvXpVYbmQM9nPzw8jR47Ezp07UV1dDRsbG6SlpSErKwsffPAB07N1QHf1Ja9L7dJ2P+7YsQMymQyurq6wsLBARUUFzp49i3//+9948803xekavCa1r7v6ktek9ug0C99vEPVSb7/9NkpKSlQu+5//+R+88MIL4u9/+9vfcPXqVXz99dcwNjZ+rjYTEhKQnp6O4uJi1NTUwNTUFO7u7ggMDOQoUgdpuy9Xr16NH3/8Ue32jhw5Iv67pqYG3377rcIr6YOCgvhK+g7qrr7kdald2u7HkydP4uTJk7h16xaqqqpgZGSEoUOHYvr06Zg8ebJCXV6T2tVdfclrUnsY1BMRERERSRzn1BMRERERSRyDeiIiIiIiiWNQT0REREQkcQzqiYiIiIgkjkE9EREREZHEMagnIiIiIpI4BvVERERERBLHN8oS0XOZPXt2u+pbW1vjn//8J4qLi/GHP/wBnp6e2LBhQyftXc9x69Yt/PDDD7h06RKKiorw6NEj9O/fHyNGjMDcuXPh4eGhUTs//vgjIiIi0NzcjJkzZ+I///M/leq09SKmtWvX4uWXX1Yo06Qfvb298fnnnyuVy+VyxMfHIy8vDw0NDXBwcEBAQACmTJmitq3S0lLExMQgKysLlZWVsLKywoQJEzB//ny1r4Wvq6tDQkIC0tLScP/+fZiamsLX1xdvvfUWBg0a1Ob+C06ePInIyEjxdxMTE+zbt0+hjqrzoa+vDwsLC3h4eCAwMBBOTk7isrbOuSrCC32El/48+4KfZ18GpKurC2NjY5ibm8PZ2Rm+vr6YMGGC2vPVUcJ2W758rad5/PgxQkJCFMrWr18PLy+vbtojou7HoJ6Insvrr7+uVCaXy3H37l0MHToUQ4cOVVhmZmbWVbvWo/ztb3/DgwcPYGxsDFdXV7i5ueHWrVvIyMhAZmYm3n77bcydO7fVNurr67Fjxw6Nt/nKK68ovNpdMHDgQKUyVf0ouHjxIioqKuDu7q60LCMjAxs3bkRzczM8PDxgZmaG7OxsbNu2DdevX8cf/vAHpXXu3r2LVatWoby8HEOGDIG7uzsKCgoQHx+P7OxsrF+/HgYGBgrr1NXV4eOPP4ZcLoelpSXGjBmDkpISnDx5EhcuXMDmzZthY2OjyWkRCZ9PQ0NDtXVanpfq6moUFBTgzJkzOHv2LNatWwdvb28AgK+vL6ytrZWOUy6Xw8LCAr6+vkptq+obVVr2Y3V1NYqLi5Geno60tDR89dVXeP/99+Hn56dRW72Fvr6+2DfC3xuivo5BPRE9l+XLlyuVbd26FXfv3sXYsWMRGhqqcr2BAwdi586drQZUvYmDgwPCwsLwyiuvKASsycnJ2LlzJ/bs2YOXXnoJjo6OatuIj49HUVERpk2bhuPHj7e5zd///vcKI7+tUdWPwNMR0X//+98AoPBqd2FZZGQkmpqasHr1arzyyisAgIcPH+LDDz/E//7v/2L06NFi4CuIjIxEeXk5Zs+ejfDwcABAY2MjvvjiC2RkZGD//v146623FNbZv38/5HI53Nzc8Omnn0ImkwEADh06hH/+85+IjIzExo0bNTpWQWufT8Gz56WhoQHbt2/H999/jy+//BJ///vfAQBBQUFK6548eRJyuRz29vZqz68mVPXjw4cPER8fj6NHj+Kzzz7DJ598ovTtS29mZGQknlPh7w1RX8c59UTULfT19eHg4KA0utlbffbZZ3jttdeURqD9/f3x0ksvoampCWfPnlW7/i+//ILExERMmzYNI0aM6OzdFZ09exb19fV48cUXYWtrq7Ds+PHjqKqqwpgxY8SAHgAGDBiAsLAwAE+D7pby8/Px008/wcLCQqwDAHp6enjnnXegr6+Pf/3rX2hoaBCXNTQ04F//+hcAYOnSpWJADwBvvPEGnJyc8NNPP6GgoEB7B66Gvr6+eCNw48YNPH78uNO3qcqAAQOwdOlSLFy4EE1NTYiMjER9fX237AsR9QwcqSeibqFuTr0w3zkkJASTJ0/G119/jZycHDQ0NGDEiBF4++234ejoiMbGRiQmJuLUqVO4f/8+Bg0ahLlz5yIgIEDt9hISEnDp0iWUlZXB2NgYnp6eWLBggdIUoa42dOhQXLp0CQ8ePFC5vLm5GTt27ICJiQl+97vf4Ycffuiyffv+++8BKI/SA8D58+cBAK+++qrSMj8/P/Tr1w/Z2dmoq6sT531fuHABADBq1CilG5wBAwbA3d0dOTk5kMvl4vzo3NxcVFVVwcbGBs7OzkrbevXVV3Hjxg2cP38ew4cPf46j1YyFhYX478bGxk7fXmsCAwNx/PhxlJSUID09XWU/qdLY2IiDBw/ixIkTKC0thaWlJSZNmoTg4GCV9Zubm5GWloYffvgBhYWFePDgAXR1dWFvb48pU6bA398furq/jhPu2rUL3333Hf785z9jxowZKtsLDw9HSUkJvvzyS/Hm/tatW9i/fz+uXr2KBw8eQCaTYeDAgfDy8sJvfvMbWFpaduAsEfUNHKknoh6puLgYH3zwAQoLC+Hp6YkXXngBWVlZiIiIwMOHD7FhwwYcOHAAL7zwAry8vHD//n1ERUUhJSVFqa2ffvoJ7733HlJSUmBkZIQxY8bA1tYWGRkZWLlyJXJycrrhCH917949AE+DWlW+++47yOVy/P73v4epqanG7Z44cQI7d+5EVFQUDh8+rPDQpSZKSkqQm5sLfX19TJgwQWn5jRs3AEBloG1gYABHR0fU1dXhzp07Yvn169fVrtOyXKjX8t/Dhg3TeJ3OJHwjYGZmBnNz8y7Zpjp6enriTdWVK1c0Xm/z5s345ptv8OjRI/j6+sLJyQmHDh3C+vXr0dzcrFS/vr4e//3f/41Lly7B3Nwco0ePhqurK3755RdERUUpPHgMPP0GCoDK6xEAcnJycO/ePYwcOVIM6AsKCrBs2TKcOXMG5ubmGDduHFxdXdHQ0IDDhw8rfI6ISBlH6omoRzp9+jTeeOMNhIWFQVdXF83NzYiMjMSpU6fw17/+Fbq6uti5c6eY9SQ7Oxsff/wx9u/frzAyWF1djS+++AJ1dXX46KOPFEaVL1++jHXr1mHLli348ssvlUaOu8Ldu3fF0esxY8YoLX/w4AG++eYbeHt7t/owqyrx8fEKv0dHRyM4OBgLFizQaP0zZ86gubkZL7/8stIDztXV1aiqqgIAtZlnBg0ahIKCAty/f1/8NuT+/fttrtOyXkfX6QxVVVXIz8/H7t27AaieR98dhJudW7duaVRfeNB38ODB2Lhxo/jg9L1797B69WqUlpYqraOnp4fVq1crfcNSXl6OtWvX4vTp05g2bRo8PT0BAE5OThgxYgTkcjmuX7+u9G2YEOy3vFaPHDmCuro6heczBLdu3YKJiYlGx0fUV3Gknoh6JBsbG/zud78Tv9LX0dHBG2+8AeDpf/Dh4eEKQZ6Pjw+GDRuGkpISFBcXi+UnTpzAw4cPMW/ePKVpIiNHjsR//Md/4MGDB2Jg3ZUaGxuxbds21NfXY8KECSqnjkRFRaGurg7vvPOOxu16eHhgxYoV+PLLL3HgwAFERUVh0aJF0NXVRUxMDA4fPqxRO61NvampqRH/re5hZyFjS8u6tbW1ra4jlHdkHaGeNs2ePVv8WbBgAT755BNUVVVh5cqV4uexuwk3XJrO709OTgYAvPXWWwqZkAYPHqx2+o2enp7SQ94AYG5ujsWLFwOA0rSwmTNnAoDSQ90VFRXIzMyEhYUFRo8eLZaXl5cDgNKD1cDTB8059YaodQzqiahH8vT0hJ6enkLZ4MGDATx9WFEYEWxJSGn48OFDsezy5csAnmY6UUVI0/jzzz8//0630+7du5Gbm4vBgwerDNrPnTuHzMxMBAYGwt7eXuN2Fy5ciMmTJ2Pw4MEwNDSEnZ0d5s+fj7/+9a8AgNjYWDx58qTVNgoKCsTR0ZaBV3uomsYhlOno6LS7nfasoy2vv/66+DNx4kS4ubmhoqICX331Vbumu3Sm9pyfhoYG5OXlQVdXV+WzEBMnTmx1/WvXriExMRG7du3Ctm3bsHXrVnz33XcAgKKiIoW648ePh6mpKb7//nuFz9vp06dRX1+PKVOmQF//1wkDwk3t1q1bkZ+fj6ampjaPh4h+xek3RNQjqcqlLoz8DhgwQOGhPIEwYtsyC4gwav/BBx+0ur2Kioo29yklJQW5ubkKZWZmZnj77bfbXPdZcXFxSE5OhoWFBdatW6c0V766uhq7d++Gra2t1qZ5+Pr6Yvjw4SgoKEBeXp7KEVFBamoqgKeBmappSS0z0Dx58gTGxsZKdYRArmVd4d/qRtWfZx1N8763h6pUlIWFhVi9ejXWrFmDnTt3ijeb3UX47Pbv37/NupWVlWhoaIClpaXKfjU2NoaJiYk4tUpQX1+Pbdu2IS0tTW3bLb9dAYB+/fph8uTJOHz4MM6ePStOHzt+/Dh0dHQwffp0hfpvvvkmcnNzcf78eZw/fx4mJiZwdXXFqFGjMGXKFJWfMSL6FYN6IuqRWht1bM+IrTDa9+qrr7aaE9/V1bXNtnJzc3H69GmFMmtr63YH9UePHkVsbCxMTEywbt06pVSRwNPAsaysDNbW1lizZo3CMuGbiPPnz+P27duwsbHBe++9p9G2bW1tUVBQgLKyMrV1Ghsbxdz0kyZNUlmnZfBXWlqqMr++MDfbyspKLLOyssK1a9dUzttubZ2WyzRZpzM5Oztj5syZSEpKwtGjRzt0U6dN165dA4BW33EgUPXtiSYOHTqEtLQ0DBkyBGFhYXB2dkb//v2hr6+PO3fuYOnSpSrb9vf3x+HDh3H8+HG8/vrrkMvluHXrFry9vZU+98bGxvj888+Rm5uLCxcu4MqVK8jOzsalS5dw4MABbNy4sd0vGCPqSxjUE1GvNmjQINy5cwfBwcHPnbpy+fLlz/USIeDpCPju3bthaGiITz75RG1GF0FJSYnarDVlZWUoKytTGlVtjTDvuuVI+LOys7PFGwoPD8k5N84AAAcPSURBVA+19YT88IWFhUoBZUNDA3755RcYGBjAzs5OLB86dKiYFlEVodzJyUlhHeDX4FWTdTqb8DKo27dvd9k2VWlsbBTfbyCkAG2NmZkZ9PX18ejRI9TX1yuN1rd8ALqlzMxMAMCqVaswZMgQhWVC9iZV7O3t4eXlhStXruD27dviA7LPjtILdHR04OHhIX7uysvL8Y9//ANpaWn45ptv8OGHH7Z5jER9FefUE1Gv5uPjA+DXoKQ7Xbx4Edu2bYOenh4iIiLE+fyqeHl54ciRIyp/3n//fQBPH0Q8cuQItm/frtH2y8vLxelD6lJKAr9OvZk0aVKr34qMGjUKAFS+NOvChQuoq6uDj4+PmKO+5ToXLlxQelnSw4cPkZubCxMTE4VzM2LECJiYmODu3bsqbwaE7QttdwUhkO2MKT/tceDAAdy/fx8DBw5Uyhijir6+PlxdXdHU1IRz584pLRe+oXmWcDOoKgNRenp6q9sUHpg9dOgQ0tPTYWpqqtG+Ak8fxBVe9nXz5k2N1iHqqxjUE1Gv5u/vD3NzcyQkJODkyZNKUwRqa2tx+vRptVM7tCU3N1d8ydZf/vIX+Pr6dsp2rl69ipycHKXjLC4uxueff47a2lqMGTNGbXrI2tpa8QZI3dQbwfTp02FsbIwffvhBIUB89OgRoqOjAUApQ4yrqytGjBiBR48e4auvvhLLGxsbsWvXLjQ0NGDWrFkKD1AaGBiILxXbvXu3wtz6Q4cO4caNG3B3d9doCpU2FBYWiiPOfn5+XbLNZz18+BC7d+/G3r17oauri/fff1/jlKxCkB0TE6MwDaukpAT79u1TuY4wVUbInCM4e/as0pS0Z40bNw7m5uZISUnBkydPMHnyZJX7mpycrHLU///+7/8AdN30KiKp4vQbIurV+vfvj4iICPzXf/0XIiMjERcXB0dHRxgYGOD+/fu4ffs2amtrERkZqTbQ1YZPP/0UdXV1eOGFF5CZmanymwN3d3eVb99sj9u3byMyMhKWlpawtbXFgAEDUFpaisLCQtTV1cHR0RF//vOf1a6fmZmJmpoauLi4wMHBodVtmZqa4r333sOmTZuwceNGeHp6wszMDJcvX0ZVVRVmz54tflPS0rJly7By5UocPnwYOTk5cHBwwM8//4x79+7hxRdfxPz585XWCQ4ORnZ2NuRyOZYsWQJ3d3fcv38feXl5MDU1Fb+90LatW7eK/25oaBC32dTUhNGjR2v8BldNqPtWZM+ePQrpQYuLi3Hjxg00NTVhwIABWLZsGV566SWNtzNp0iRkZGQgIyMDS5cuhY+PD5qbm5GdnQ1PT0/o6Ogo5fz/zW9+g6ysLHz99dc4e/YsbG1tUVRUhIKCAsybNw9JSUlqt2dgYICpU6ciMTERgPqpN8nJydi5cyccHBzg4OAAPT093LlzB9euXUO/fv0QEhKi8TES9UUM6omo13N3d8ff//53HDp0CBcvXkROTg709PRgaWmJUaNGYdy4cW0GsM9LmKdcXFyskEf/Wc8b1L/44ovw9/dHfn4+bt26BblcDiMjIwwdOhTjx4+Hv79/qw8Mt5x6o4lXX30VGzZsQHx8PPLy8tDQ0AAHBwcEBARg6tSpKtextbVFZGQkYmJikJWVhdu3b8PKygrBwcEICgpSmK4j6NevHz7//HMkJCQgLS0NmZmZ6N+/P15//XUsXLiw00ZxW45C6+rqwsTEBB4eHpg8eTKmTJmiMgtTe9XV1QFQP5VH+BZEV1cXMpkMFhYWGD9+PF5++WWMHz9e5flqjY6ODv7yl7/g4MGDOHHiBC5evAhLS0vMmjULoaGhWLp0qdI6np6e+OKLL/Dtt9/i2rVruHPnDpycnLB69Wo4Ozu3GtQDT3PPJyYmYsSIEUpz8gULFy5EZmYm8vLykJ2djYaGBgwaNAgzZszAm2++qfKBciL6lU5zRx+FJyIikqCTJ08iMjISISEh4nzt7lJTU4Pg4GAYGhpi//793ZKLvyvs2LEDKSkpeP/999Xe7HXU1q1bcfr0aaxfv16jh4WJeiuO1BMRUZ+UmZmJ4uJiGBoa4k9/+lO37MPRo0fR3NwsTnvpjUpKSvD999/DzMwMEyZM0EqbtbW12LVrFwBALpdrpU0iqWNQT0REfdL169dx/fp1mJiYdHlQv2XLFhQVFSEvLw/6+voqnyOQuoMHD+L69eu4fPky6urqsHjx4lanfrVHQ0NDmw/oEvU1nH5DRETUxWbPng1jY2MMHz4cCxYs6JXTRlavXo0ff/wRAwcOxIwZM7BgwYJe+20EUU/AoJ6IiIiISOKYp56IiIiISOIY1BMRERERSRyDeiIiIiIiiWNQT0REREQkcQzqiYiIiIgkjkE9EREREZHEMagnIiIiIpI4BvVERERERBLHoJ6IiIiISOL+H5zbzLR/7Fx9AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = raw_lc.errorbar(label='Raw light curve')\n", "corrected_lc.errorbar(ax=ax, label='Corrected light curve');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As you can see the corrected light curve has removed long term trends, and some motion noise (e.g. see time around 1720 BTJD). We can use the same `diagnose()` method to understand the model that has been fit and subtracted by `RegressionCorrector`." ] }, { "cell_type": "code", "execution_count": 69, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "reg.diagnose();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To show the corrected version has improved, we can use the *CDPP* metric. As shown below, the corrected light curve has a lower *CDPP*, showing it is less noisy." ] }, { "cell_type": "code", "execution_count": 70, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "897.0934061715499" ] }, "execution_count": 70, "metadata": {}, "output_type": "execute_result" } ], "source": [ "raw_lc.estimate_cdpp()" ] }, { "cell_type": "code", "execution_count": 71, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "836.8752819184294" ] }, "execution_count": 71, "metadata": {}, "output_type": "execute_result" } ], "source": [ "corrected_lc.estimate_cdpp()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Further reading\n", "\n", "* [RegressionCorrector API](../api/lightkurve.correctors.RegressionCorrector.html)\n", "* [DesignMatrix API](../api/lightkurve.correctors.DesignMatrix.html)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 2 }