{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# How does the SFF method work?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Vanderburg and Johnson (2014) introduced a method for \"Self Flat Fielding\" by tracking how the lightcurve changes with motion of the spacecraft:\n", "\n", "[A Technique for Extracting Highly Precise Photometry for the Two-Wheeled Kepler Mission](http://adsabs.harvard.edu/abs/2014PASP..126..948V)\n", "\n", "In this notebook we replicate the K2SFF method following the same example source, #60021426, as that in the publication. We aim to demystify the technique, which is extremely popular within the K2 community. We have focused on reproducibility, so that we achieve the same result at the publication.\n", "\n", "The Vanderburg & Johnson 2014 paper uses data from the Kepler two-wheel \"Concept Engineering Test\", predating campaign 0, and sometimes called campaign *\"eng\"* or abbreviated CET. This vestigal \"campaign\" lacks some of the standardization of later K2 campaigns--- it was much shorter, only about 9 days long, it lacks some of the standard quality flags, targets have non-traditional EPIC IDs, and other quirks." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from astropy.io import fits\n", "import pandas as pd" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Retrieve the K2SFF data for ENG test source `60021426`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we will retrieve data and inspect the mask used in the paper." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "path = 'http://archive.stsci.edu/hlsps/k2sff/cet/060000000/21426/hlsp_k2sff_k2_lightcurve_060021426-cet_kepler_v1_llc.fits'\n", "vdb_fits = fits.open(path)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The `BESTAPER` keyword explains which aperture was chosen as the \"best\" by Vanderburg & Johnson 2014. The FITS header for that slice contains the metadata needed to reproduce the mask." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "MASKTYPE : PRF FIT\n", "MASKINDE : 4\n", "NPIXSAP : 29.0\n" ] } ], "source": [ "keys = ['MASKTYPE', 'MASKINDE', 'NPIXSAP']\n", "_ = [print(key, ' : ', vdb_fits['BESTAPER'].header[key]) for key in keys]" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We want the *exact same* mask as Vanderburg & Johnson 2014, but the publication version and MAST version differ!\n", "\n", "Publication version:\n", "![img](https://www.cfa.harvard.edu/~avanderb/k2/ep60021426image.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "MAST Version:\n", "![MAST Version](http://archive.stsci.edu/hlsps/k2sff/cet/060000000/21426/hlsp_k2sff_k2_lightcurve_060021426-cet_kepler_v1_image.png)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Aperture 7 should yield a bigger mask, more similar to what was used in the paper." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "53" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "VDB_J_mask = vdb_fits['PRF_APER_TBL'].data[7,:, :] == True\n", "VDB_J_mask.sum()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Save the mask for easy use in our next notebook." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "np.save('VDB_J_2014_mask.npy', VDB_J_mask)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Manually reproduce with the Vanderburg-provided diagnostic data\n", "Retrieve the Vanderburg-provided diagnostic data for the Kepler ENG testing. \n", "Uncomment the line below to retrieve the data programmatically, or manually get the linked file in a browser and save it to this directory." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "#! wget https://www.cfa.harvard.edu/~avanderb/k2/ep60021426alldiagnostics.csv" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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BJD - 2454833Raw FluxCorrected FluxX-centroidY-centroidarclengthCorrectionThrusters On
01862.5023680.9951190.99598525.13509724.6610742.3274800.9991301.0
11862.5228010.9973130.99676725.28975224.4186891.1753221.0005481.0
21862.5432350.9967130.99613625.28805224.4294061.2146271.0005800.0
31862.5636680.9969300.99627725.27521624.4484051.3066171.0006560.0
41862.5841020.9968620.99622825.25386424.4801841.4602591.0006360.0
\n", "
" ], "text/plain": [ " BJD - 2454833 Raw Flux Corrected Flux X-centroid Y-centroid \\\n", "0 1862.502368 0.995119 0.995985 25.135097 24.661074 \n", "1 1862.522801 0.997313 0.996767 25.289752 24.418689 \n", "2 1862.543235 0.996713 0.996136 25.288052 24.429406 \n", "3 1862.563668 0.996930 0.996277 25.275216 24.448405 \n", "4 1862.584102 0.996862 0.996228 25.253864 24.480184 \n", "\n", " arclength Correction Thrusters On \n", "0 2.327480 0.999130 1.0 \n", "1 1.175322 1.000548 1.0 \n", "2 1.214627 1.000580 0.0 \n", "3 1.306617 1.000656 0.0 \n", "4 1.460259 1.000636 0.0 " ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "df = pd.read_csv('ep60021426alldiagnostics.csv',index_col=False)\n", "df.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can mean-subtract the provided $x-y$ centroids, assigning them column and row identifiers, then rotate the coordinates into their major and minor axes." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "col = df[' X-centroid'].values\n", "col = col - np.mean(col)\n", "row = df[' Y-centroid'].values \n", "row = row - np.mean(row)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "def _get_eigen_vectors(centroid_col, centroid_row):\n", " '''get the eigenvalues and eigenvectors given centroid x, y positions'''\n", " centroids = np.array([centroid_col, centroid_row])\n", " eig_val, eig_vec = np.linalg.eigh(np.cov(centroids))\n", " return eig_val, eig_vec" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "def _rotate(eig_vec, centroid_col, centroid_row):\n", " '''rotate the centroids into their predominant linear axis'''\n", " centroids = np.array([centroid_col, centroid_row])\n", " return np.dot(eig_vec, centroids)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "eig_val, eig_vec = _get_eigen_vectors(col, row)\n", "v1, v2 = eig_vec" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The major axis is the latter." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "platescale = 4.0 # The Kepler plate scale; has units of arcseconds / pixel" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 374, "width": 331 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5, 6))\n", "plt.plot(col * platescale, row * platescale, 'ko', ms=4)\n", "plt.plot(col * platescale, row * platescale, 'ro', ms=1)\n", "plt.xticks([-2, -1,0, 1, 2])\n", "plt.yticks([-2, -1,0, 1, 2])\n", "plt.xlabel('X position [arcseconds]')\n", "plt.ylabel('Y position [arcseconds]')\n", "plt.xlim(-2, 2)\n", "plt.ylim(-2, 2)\n", "plt.plot([0, v1[0]], [0, v1[1]], color='blue', lw=3)\n", "plt.plot([0, v2[0]], [0, v2[1]], color='blue', lw=3);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Following the form of **Figure 2** of Vanderburg & Johsnon 2014." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "rot_colp, rot_rowp = _rotate(eig_vec, col, row) #units in pixels" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can rotate into the new reference frame." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 374, "width": 331 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5, 6))\n", "plt.plot(rot_rowp * platescale, rot_colp * platescale, 'ko', ms=4)\n", "plt.plot(rot_rowp * platescale, rot_colp * platescale, 'ro', ms=1)\n", "plt.xticks([-2, -1,0, 1, 2])\n", "plt.yticks([-2, -1,0, 1, 2])\n", "plt.xlabel(\"X' position [arcseconds]\")\n", "plt.ylabel(\"Y' position [arcseconds]\")\n", "plt.xlim(-2, 2)\n", "plt.ylim(-2, 2)\n", "plt.plot([0, 1], [0, 0], color='blue')\n", "plt.plot([0, 0], [0, 1], color='blue');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We need to calculate the arclength using:\n", "\\begin{equation}s= \\int_{x'_0}^{x'_1}\\sqrt{1+\\left( \\frac{dy'_p}{dx'}\\right)^2} dx'\\end{equation}\n", "\n", "where $x^\\prime_0$ is the transformed $x$ coordinate of the point with the smallest $x^\\prime$ position, and $y^\\prime_p$ is the best--fit polynomial function." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Fit a $5^{th}$ order polynomial to the rotated coordinates." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "z = np.polyfit(rot_rowp, rot_colp, 5)\n", "p5 = np.poly1d(z)\n", "p5_deriv = p5.deriv()" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [], "source": [ "x0_prime = np.min(rot_rowp)\n", "xmax_prime = np.max(rot_rowp)\n", "x_dense = np.linspace(x0_prime, xmax_prime, 2000)" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 277, "width": 408 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(rot_rowp, rot_colp, '.')\n", "plt.plot(x_dense, p5(x_dense))\n", "plt.ylabel('Position along minor axis (pixels)')\n", "plt.xlabel('Position along major axis (pixels)')\n", "plt.title('Performance of polynomial regression')\n", "plt.ylim(-0.1, 0.1);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We see evidence for a [bias-variance tradeoff](https://en.wikipedia.org/wiki/Bias%E2%80%93variance_tradeoff), suggesting some modest opportunity for improvement." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "@np.vectorize\n", "def arclength(x):\n", " '''Input x1_prime, get out arclength'''\n", " gi = x_dense " ] }, "metadata": { "image/png": { "height": 265, "width": 276 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "aspect_ratio = plt.figaspect(1)\n", "plt.figure(figsize=aspect_ratio)\n", "plt.plot(df[' arclength'], arclength(rot_rowp)*4.0, '.')\n", "plt.xlabel('$s$ (Vanderburg & Johnson 2014)')\n", "plt.ylabel('$s$ (This work)')\n", "plt.plot([0, 4], [0, 4], 'k--');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Yes, we compute arclength correctly." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we apply a **high-pass filter** to the raw lightcurve data. We follow the original paper by using *BSplines* with 1.5 day breakpoints. You can also apply data exclusion at this stage." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [], "source": [ "from scipy.interpolate import BSpline\n", "from scipy import interpolate" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "times, raw_fluxes = df['BJD - 2454833'].values, df[' Raw Flux'].values" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We find the weighted least square spline for a given set of knots, $t$. We supply interior knots as knots on the ends are added automatically, as stated in the `interpolate.splrep()` docstring." ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "interior_knots = np.arange(times[0]+1.5, times[0]+6, 1.5)\n", "t,c,k = interpolate.splrep(times, raw_fluxes, s=0, task=-1, t=interior_knots)\n", "bspl = BSpline(t,c,k)" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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GIH27f9+ZYHv455FhdzbHxDDGVAF/BKqAHyaqtiUiIlJISmkNg7BEnWwIrXR96i3z0n6Ln2s6lBMpTOFzrNvSxPbmdvrXVlE/qDbrEZF0RlfyNnIW7AgFGJ+8FQo4Nr0Fm97OPG2qdhDsczD0r4f+B3f/ufv32oFZjVL4fkTIAaUagKQSflqsk8d0T2R/EDgBeAT4n3RPbq2dmOCcS4AJ6TdTRETEeaW0hkGkcUP78cJ3p8Yt+5rpW/xs06Gc6LDGO0e254qUanTFk5GzrmAo2PjodWhYEgo6Nr+TWfpU32Ew6NDuX4d1/xoVSo9ykK9GhFxUqgFIeLQi0VPTJ2q/bI/Zozv4eAg4j1DVrEvCk9VFREQKnZsTmv1u3uotcdecgMzf4meaDuVEhzXRObI5V6ZcGTnbvTUUbIR/NSyNW20qrpqBsN84GHIEDBodCjgGjoKquszbkYVSmUtVqgHIe92/j0qwPVz9LHK+RzbHAGCMKQf+RCj4+BNwmbW2cEsXiIhIycgktSfvpU89Fr43j76xMel+bs5/caLDmuwcmZ4rUzmPnHV1hUYzPnx1b8Cx/YP0Lt53GOx3ZHfAcWToz733y+vk7lKZS1WqAUi4lO9pxpiyyEpYxpjehFKkWgitWB42F/gJoVXT/zvyZN1lfUcRWhV9XdS2SkIjHucADwBXRFfeEhER8aNsUntcL33qE8lSlqK5Of/FiQ5rup1aX5QCDnaG5mt8+Cp8+Ero99YdqS9UNwSGToYDJsH+40MBR01/hz9N7kplLlVRByDGmApgBNBhrd1Tmcpau9YY8zyhSlffBG6POOwGoBb4Q8QaIADzgHeBKcaYs6MWIrype587ItOquiec/w04E7gHuFrBh4iIFIJSyUXPRqqUpUhuz39xosOabqc2L6WAO9vh4ze7g41XYMNrqSeKByphv/Fw4ORQ0HHgZOhzgCMjG26sVxKpVOZSFVwAYoz5AvCF7v8MfwvHGWNmdv95q7X2+91/PoBQ0PAhMDzqVN8AXgVuM8ZM797vGOAUQmlUP4nc2VobNMZcQWgk5DFjzGPABkLldCcBrwC/ibrGHYSCj61AA/CzOIsnvmStfSmNjy4iIuKZUslFz0Y6KUvgzfwXJzqsyc6R6bnCMu2o7xk5szZUAveNx2HdS7D+FejYnfA4IFSJ6qDjYdhxcODRofkb5VVptzVdXlSnKpW5VAUXgADjgcujflbf/QtCwcb3SaF7FGQS8AtCaVVnAp8AtwE3WGu3xTnmNWPMZEKjJKcBvbuv9wvgRmttW9QhB3f/PhD4WZLmvJSqvSIiIl4qlVz0bKT67CeMGMD5k4d6Mv/FiQ5rsnLCmZ4Lsuio72wIBRvhX7s3J79AnwPgoBNCQcdBJ8DAka7P2/ByRLAU5lIVXABirf058PM0913P3vK48bZvBK7I8PrvEJpMns6+J2dybhEREb/wcy6622kwqaT67OdPHurp6JATHdbIc6zd3MT25g7611ZmvA5IWh112wbrF8D7s0MBx9ZEazx36zcMhp8UCjaGnwD9DvJ8orjXI4LFPpeq4AIQERERcZ9fc9H9sEibH++NEx1WJ87x5PKP496XA81mTmlZxs67b6W68XXobE14ju22jle6xrC8Yjxf+vIljB5zZE5tcoJGBJ2lAERERERiOJWL7uRohRdpMOm0t1Ty9DO1fOMOrn9iJQAVdDKp7D2mlb3JKWXLOKTs49BO/4w9zgaqWNx1KC+2H86CriN4xw6nizLogL///Z8sGBXM+z3184hgIVIAIiIiInHlmtrj9GiF22kwmbS3FPL0M9HaEeSHM5/nrOBiTqlYxollK6gziUc5GHgojDoNRkznqR3D+Najq+Lu5peCB34c9SpkCkBEREQkoWzTctwYrXAzDSab9hZ7nn5atqyGVU/RvPTvPBd8Cyri79ZiK3mj7AiOPe0iKg47DfYZvmfb+jlrkl4i1/QmJ0bhNOrlLAUgIiIiJcaLSdxujFa4mQajssNp6uqChiWw6ilY9Q9oDAUP8Zb029A1iLldR/FS13iWl49l5pVTqIgz8uXm9+rkKJxGvZyjAERERKSEeDWJ243RCjfTYDTJOInONvjg5VDQ8d7T0BRnIgfQactY3HUYc7qO4sWuo1hn9yNcjPRXZx+Z8Ply63t1YxROo17OUAAiIiJSIrxcy8CNt9qJ0mBqKgNcdtzwjM+XSXtKbpJxezNt7z7LlsV/Yd9N86kMJlgMsKIGDplO+8gzOeMf1azbHbsA4MC6Ss4at3/CS7mV3qRRLf9SACIiIlIivOyQufVWO5wGc+f8ddwxby3N7UGa24PcMns1Dyxcn/VIjiYZA+3NobU5Vj5O8L1nqOps4cB4+9UMgEM/C4d9HupPhopeVAK/GZR4dC1VEOFGelMxjmrlew0cpygAERERKRFedsjcnrT7wML1NLcHe/ws19Sakpxk3NECa2bDO4/De89CR2ikI/rTfti1L893TeK1qmP5v+u+TnVVZcypcg0iwulN4U72XfPX5dTJLrZRLT+sgeMUBSAiIiIlwusOmVuTdt0aySmZScYdLfD+C7DycVj9LLQ3xd3t/a79+UfXsTwTPJpVdihgoBOee3dLwvub6xwJJzvZxTSq5WX6pBcUgIiIiJSIfHTI3Ji06+ZITtFOMu5oDQUd7zwO7z2TMOhgwEgW10zlp++PZLU9kPAk8khupS453ckuhlGt8GjQ80U2n0UBiIiISInwskPmZq56saXWuKYrCB/MhxWPwbtPQNun8fcbcAiM+WLo176H88nyj1m9ZlnC07p1f90Y2SrkUa14o0GJFNp8FgUgIiIiJcSLDpnbuerFlFrjOGvh46WhoOPtvyYsmUv/EXuDjsFjwOwd6cjX/U3ViV67OcGoTQpujGq5PRk80WhQIoUWdCsAERERKTFuphl5kateDKk1jtv6Pqx4NPRr29r4++xzMBzxZRjzBRh8RI+gI1K+7m+qTvR9r65n+ujBeZ9w7cVk8GSjQdEKMehWACIiIiKO8arUbyGn1jhm16bQKMeKR+HjN+PuYmv3xRzxZRh7HhwwIWHQES0f9zfZyAvArtbOvE+49moyeLopVYUadCsAERERKXB+WhvA61K/hTTx1hHtzbDqH7D8z7DuRbBdMbvssr14NjiZWV0nsCYwnjuPOJZxB2b+Zt7r+xseebn47kU0tQXj7pPvCddeBdipRoPOHDuE08cMKdigWwGIiIhIAfPb2gCpOk7vbvqUWcsafN9x8lNQR1cXbFgIy/8EK2dB+66YXWygkhe7xvNo23HM7TqKNrrX6dgdzPuoQSbGDe3HjBPruXXOmoT7ZBPEOvV9ehVgJxsNqqsK8F9fHEu/mti1WAqFAhAREZEC5ce1AVKl0Ty9YhNPr9hETWWAa6aO4Oop9b7rGPsmqNu2DpY/Ehrt2PFhnB0MDD8Rxp7HM8HJfONvH8Q9Tb5HDTJVP6g26fZMJ1w7+X2murbN6GyJJZqHA9DUFuTUW+YV5AKEYWX5boCIiIhkJ510EK+FO04D65K/nW1uD3LL7NWccNNclm/c4VHrUksV1LV2xE8Ncq4BO2HJ/XDvGXDbUTDvxtjgo/8ImPZT+PYK+OpTMPFy1u6qSHraQirTGg5i48l0wrXT3+fpY4YwoDbxvb5/4XrHnpFxQ/vxwnen0rs6drzAs+fRJQpARERECpSX8y0yEZ7AfOuF4znziOSdxUYHOlIt7UEef7OB2+esYdayhpzO5URQl3F7gp2w5gV47Er4n1Hw5LWhlKtI1X1h0pUw4wX41hKY8gPoN3TP5mJaGyVREJvNhGung/TqigCXH39wwu2NTe08ufzjjM6ZzLzVW9jV2hl3W75eMjhBKVgiIiIFys+dzvAE5g2NzTz9dvJOUi4pQk6nS+Ua1MVrT8J0s82rYNlD8Naj0BTnHpkAjPwMjLsIRp0BFdUJr1tsa6M4VYXLjSA9VR2x659YyajBvR1Jj/LrS4ZcKQAREREpUIXQ6Uw3CMqmI+XGHJhcgrpE7Qmnm92/cD0zLzqMsTvmwNIHoeGN+CcaMhbGfQXGngt1+6bVbjfX7sjXhHwnqnC5EaSnOqa53bmJ/35+yZALBSAiIiIFyssF47LthKaalB6WTUfKjZKouQR1idtjmWze44K2lzjkwdeAtthdaveFI88PjXYMOSKjNoe5sXaHbybkZ8mNID2dZ9qpif+F8JIhGwpAREQk73xV8rTAeLFgXEZpRVHCQdKVMxfTuLsj7j7ZdqTcSE/JJaiLvt4gtnNu4GXOC7xEfVmcFKuyCjjsTBh/CYyYBoHcu2VOrt3hxyprmXIjSA+f86K7FtHcnnh+jxPpUflald5tCkBERCSvCv0Nqx+4uWBcOmlF96b4rsYN7ccrP57OnfPXcce8tT06bbl0pNxKT8k2qBs2oIZyOjmlbBnnB17ilLJllJvYhQK31oxg4En/AkdeALUDsmqjF7xadM9tbgTp44b244azx/CDx95KuI9T6VH5WJXebQpAREQkb4rhDWuxS9YJhb1VrFJ9V9UVAa6dPpKrp9Q71pFyMz0l46Buy2o+t+kBTqh+kIHElhX+1PbiyeDxPBI8mRnnfIlzjjow67Z5pZgmQLsRpJ81bn9uenaVJ+lRXq9K7zYFICIikjfF8oa1mKXTyczku3KyI5X39JS2Jlj5d3jzQdj4GuXAwKhdFnWN5i+dU3m66xhaqQp1TI/Yz912OSTVG/whfRNX5fIrJ9M98/78FTAFICIikjfF9Ia1WLlZxcoJnqenWAsfL4UlM+Htv0F7U+wudUN4Y5/P8v8+HM+q9kF7fl5oHdNUk61vfHaVY+VmveBGumcxpkd5QQGIiIjkTbGWmCwmblaxcoon6SmtO2HFo6HAY9OK2O1l5aG1OiZchhkxncmBch7vCBZ0xzRVAYF00+/8wM10z2JLj/KCAhAREcmbYi0xWSjSSUdxs4qV71kLDUtgyX2h0Y6OOKM8Aw+FCZeGJpRHrdmRScfUr5Xgxg3tx48/OzrhZOtCSZVUuqe/KAAREZG8UQ51/mSSjuJWFSunOdaJb9mxd7Tjn2/Hbi+vhjFfgomXw9BjwKRaGzu5eN/FgNoKLjtuOGXG5D0g2bSzNen2QkiVVLqnvygAERGRvFIOtfeySUdxo4qVk3LO77cWPnqje27HX6GzJWaXVV1DeaL8NM688DqOOOQgR9qd6Lto3N3Bb15Ys+e/81mauhhSJYvhMxQTBSAiIpJ3yqGOFX6bv25LE9ub2+lfW0X9oFpHOvy5pKP48bvKKb+/ZQe89ZdQ4LF5ZexmW8mTweP4c3Aab9pDoN3wl4dXs+BHBzoSeKUqcxyWz9LUxZAqWQyfoZgoABEREfGZeG/zw5x4E15s6SgZB1TWwsbFoaBj5d/jjnbs7HMov2o8nlnBE9hFz7fjTs4ZyORe52uuQjGkShbDZygmCkBERER8JNHb/DAn3oQXWzpK2gFVy3ZY/kgo8NjybuyOFTVwxJdh4hU8sKo3D0WkQGV6zXRleq/Tva7Tk9qLIVWyGD5DsVAAIiIi4iPppOTk+ia82NJRknfiLeNZBX/7H3jnceiMM6F6yFiYeAWMPQ+q+4TOubUhh2umL90yx5lc1431LsCf6XeZKobPUAzK8t0AERER2SvdN9y5vIEPp6MMrKvs8fNCTUcJd+Ij9aWJKwLPMKf6R5z08iXw1sM9g4+KWphwGVw1F772MkyesSf4SHTOMCeDtETfRbbXTTUfprUjmOBIEe9oBERERMRH0n2znusb+GJKR9mT3z9zMQc3r+Ci8rl8ruw1qkycdUuGHAmTroAjzu0RcCQ8pwdzBqK/Cwvcv3A9jVlcV+td5J9f13TxEwUgIiIiPpJOSo5Tb+DzlY7ieAeteRvjPvozi/vdR1kwzryNyjoYey5M/Crsf1Tap/UySIv+LrItd1xsBQYKjVvpb8VGAYiIiIiHUnW+E715DyvUNKkwxzpo1sKGhfDGffDOLAi2xeaV739UKOg44stQ1Tur9uYrSMv2usVWYKCQ5FQOusQoABEREfFIup3vyDfvazc3sb25g/61lY6tA5IvjnTQwpWs3rgXtr4Xu72yNxx5Hky4HPYf72DrC0N7tveOAAAgAElEQVSxFRgoJEp/S58CEBERKWp+ycfOtPNdjNV6su6gWQsNS0JBx9t/i7tuB/tPiBjtqHO24QVE613kz9rNu5NuV/rbXgpARESkaOU7Hzsy+Nm8q823b0e9CtIynp/Qtqt7lfL7YNOK2AMq6+DI80OBx37jnGtoFL8EsekKj6A9ufxjXly1GQyccui+HDokuzQ0SW35xh3c+8q6pPso/W0vBSAiIlKU8p2PnWw183jy9XY0XjtrKgNcM3UEV0+pd/QepT0/4ZPlobkdKx6F9qbYHYeMhUlXhtbtyHJuR7ryHcRm671Nu7jp2VV72v30ik3c9Owq37fbK04GleF/a5raEpc4VvpbTwpARESkKOUzHzvVaubxOPF2NNNOVaJ2NrcHuWX2au5fuJ57HeywJpufcECt5czOOXDXzFC6VbTyXqH0qklXwgETwBhH2pRMvoPYbLnZ7kIbDYrH6aAy1eKhvavLlf4WRQGIiIgUpXyWI01nNfNIdVUBpo4alNM1s+lUpWpno8Md7XjzE0aaj5hR/SLnBV4h8NSnsQcNOiwUdBx5AfTy9s19oU4qdqvdXo6WucWN4CzVvyVXHD9co05RtBK6iIgUpXyWI800uGlqC3LqLfNYvnFHVtfLdvXrdNoZ7rA6ZdzQfiz43vH89YSNvLLvr5hd9UMutM8QaI8IPgKVMPZ8uOJZ+MYiOOZrngcf4E0Q29Ie5PE3G7h9zhpmLWtwZKVyN9qdarTshJvmZv38eimd4CxTqf4tGbFv6RZFSEQjICIiUpTyWY40m+Bma1M7F9+9iBkn1mdcbjfbN97pttOx0aLGtfDGvVQv+xMTW7bFbu9fDxOvgPEXQ+0AZ66ZA7eDWLfml7jRbq9Hy9ziRnCm0seZ0wiIiIjPufGGtBSE030G1lX2+LkX5UjDHZJMNbUFuXXOGq57eBknZvBGOdtOVbrtjNdhTfu5DHbAysfh/rPh9gmw8P8gMvgoK4fDz4HLZsG/LoETrvVF8AHJ70+uHctsR63S4Ua78zFa5gY3grN8/ltTqDQCIiLiY4VagccvIhf029CYfNKsk5NrU61mno5MctKz7VSF23nlzMU07u6Iu0+8Dmtaz+X2D2Hp/bD0Qdi9OfbEfYfBxMvhqEuh9+Ck7c8XN9fUcHN+iRvt9ny0zCVujVZk8m+NKAAREfGtQq3A4zfpLOjnRqAX7pBcOfN1Xl3bmNU50u2I5tKpGje0H6/8eDp3zl/HHfPW0twe7HFsdIc12XN59cxFvPylTirfnAnvvwDYnhczZTDqjNCk8hHToMz/z69bHUu355c43e5kz1gkv6914WZQWYyLh7pFAYiIiE8VagWeQuN2oPfWR7lNzE2nI5prp6q6IsC100dy9ZT6lB3WeM/lYLZxYeBFLuh8kcpH48zt6L0fTLgcJlwKfQ9M+Xn8xo2OZbqjVrmMzDnZ7mxHy/xIoxX5pwBERMSn8llGNp5iqP8fj5uB3nMrNyVdnCwd6b5RdqJTlU6HNfzcGbqYUraCrwTmML1sKeWmK2pPExrlmHRlaNQjoC5HpHRGrfyWgpnpaJmfabQiv/SvgYiIT3lRRjbdoMJvHSEnuRnopTr2+PoBTBq+D/e9up5drZ0x2zN9o+xFp2pkbTNfDzzBRYE5DCvbErO9kT50HnkJg0++Gvof7GpbClmqUSvAlymYmYyWiSSiAERExKfcLu2YblBR7HNR3Az0Uh17wdFDOWf8AUwfPdiVnHTHWAsfvgKv38Pp7z7JGRWxKTivBg/nj8FTeb5rEn3fqWHBWcOozkNTC0myUatZyxp8nYKpEQTJhQIQERGfcnOyZCZBRbHPRXEz0Ev33L7NSW/dCcsfgTfugS2rADARm3fYWh4NTuXPwWmss/vv+XkhPRf5Ti1M1JFPNXq2dnMTj7/ZkFa78/0ZRaIpABER8TG3OqaZBBV+m4viNLer4qR7biffKOfc4dy0Al6/B976C3Tsjt0+9BierT6T61YcRBvx15sohOciX6mF6Xw/qUbPotP2ErW7mNMnpXApABER8Tk3Uh0yCSq8mIuSb26OQKQ6t9Nvp7PucHa0wjuzQqMdG1+L3V5ZB0eeD5NmwJAjaFvWQNuKZQlP5/fnwsvUwsjv2AL3L1xPY4rvJ9nomYGYOUPx2u3FZ9ToimRDAYiISAnKJKhwey5KPPno1LiZ057o3E6/nc6qw7ntA1hyH7z5EDTHWa9k38NDlayOvACq++z5sRPPRT47r16lFsb7juNdL/r7SbaYpY13kjjtdvszanRFsqUARESkBGXSeXQzRSmeUunUuPF2Ou0OZ1cQ1syG1++Ov2BgWQUcfg5MngHDjgNjYs6X63OR7+/Zi9TCRN9xPFub2nly+cecN2nonp+NG9qPF747lZNufjFulbR4Itvt5mcs9uIU4i4FICIiJSjTzqNXk6RLqVPjxtvpVB3KLZ98BLsehjdmws4NsTv0HQoTvwoTLoO6fVNeL9vnwg/fsxephcm+43iuf2Ilowb37hGAzVu9Je3gA3q2283PWOzFKcRdCkBEREpUpp1HL8puPrn845Lp1Ljxdjp+h9IyybzHpeUvcNbixWCjO7MGDjk1NNox8jQoy6zjn81z4YfOqxephZl+h83twZgALJNzRLfbzc9Y7MUpxF0KQERESpifavkv37iD659YmXSfYurUuPF2OrLDWUsLXwws4JLACxxWtjG0Q2SmVa/+MOFSmHhFzIKBbs/NcLPzmm7bvUgtzOY7jA7A0j1H7+ryuJXV3PqMpVCcQtyjAERERPIunJLT3B5Mul+hdGrS6QS78Xa6uiLAH8/qzVuP38Jnu+ZRZ1pj9tnWfzx1J15D5dgvQkXsUoHZzs3IJGhxq/OaadvdTi1M9h0nExmApXuOK44f7ulnzEdxCikeCkBERCTv0smVr6sKMHXUII9alL10O8GOvp3ubIN3n4TX7+bQDQs5FHqsGNhCFX/vPIGHgqfyzsfDGfh0JfcMamXc0J4BSLZzMzLt+LvRec227W5XP4v3HddVBWhqSxxsRwZg4XNcfPeipMeM2LcuaTuc/oxeF6eQ4mKsTVTMTQqBMWbJhAkTJixZsiTfTRERydrtc9bw69mrU+7n92pYrR1BTrxpbsKOdbxOcGtHMPu309s/hCUzYekD0Lw1ZnPXwFH8z7aTeLD5OHbRc1QhXntmLWvguocTr+1x64XjYzqy2XxmcL4KVjZt90r0dzx11CBOvWVeRvdsR3N7wmpYye6z23J6fqXgTJw4kaVLly611k7M5TwaARERkbxLN+XG79WwsplcHf12uqU9yONvNiROZerqgnUvwuK7YPWzxJbQLYfRZ8GkGTy542B+98jytNuTzdyMbCeUO50a5OdJ0fFGIDIdPehXU8lDM47x3YiDn+aRSeFQACIiIjkJ5/6v29LE9uZ2+tdWUT+oNqPOZCa58n6uhpVrJzjpqMAgA8v+DK/fBY3vxx7c54DQhPIJl0LvUArThjlrMmpPNnMzcvnMTnZeC21SdDYBmFflsEXcpgBERESylmyV50zSaZKt+hyPX6th5dIJTjSHYZ/d61h9710cWb4A07E79sD6U+Doq2Dk6RDo+b/1TNuTzdwMJzr+TlTdKoRJ0fE+Z6YBmEYcpBgoABERkaykWuU503SpyLe7z729iaff3pRwX7+9zQ7LpRMcmcoUIMhnypZweeB5jgu8E8qy6ojYuaoPjL8YJv8LDDzEsfZkM7E4146/U3NBMm2726WGo+V75XcRP9Ek9AKnSegiki+pJv2GZTP5N9uJzX6QbUfz9jlruH/261wYmMtXyuewv9kWu9O+h4dGO8aeD1WJqx7l2p5MJxZn+5mTfc91VQEW/Gga/Woq0/mYGbXdi1LD0W0q1OdZJJImoYuISF6lmwaVTbpUIZf4zDhP31r46A2+8MH/8rWqZ6g0PUutdtoynuuaRN+p3+TE6eeAMfHP41R7yDzNJ9u5CckmsDe1BTnp5hd5aMYxGY+EJGu7V6WGI/lh5XcRP1EAIiIiWUk3DSrbdKlCnnCbVge+owXe/hssvhM+WcZQ6LF2xxbbhz8Hp/Gnzul01u3HgqnTMg4+MmpPjrK5RqrgdFdrJzPuf53Z35nKvNVbHEmXyiYYyDZoCfNzhS6RfFAAIiIiWUmnclWuk38LbcJtWik62z+EN+6BpQ9CS2ya1XJGcW/7qTzTdQztVBTEqE+20glOtza1M+VXPde/yCVdystSw2GFVqFLxG0FF4AYY84FpgLjgXFAb+CP1tpLsjjXgcAvgDOAAcAnwOPADdba7QmOORz4OXAy0Af4EHgYuNFa25LgmOOBnwLHAtXA+8C9wO3W2sTLmoqI+FiqylXF3HGOJ2mKzoF9967d8d4zxKzdEaiCsefB0f/CoYOOZNrKTRwSNerj9aRpL6Rbfjl68b1s0qVqKgNcM3UE+/Wtjtk/ktOlhqEwKnSJeKngAhBCHflxQBPwEXBYNicxxowAXgX2BWYBq4CjgeuAM4wxJ1hrG6OOOQaYC1QAjwEbgWnAz4Dpxpjp1tq2qGPOAf4KtAKPANuAs4DfACcA52XTfhERP4hMk1q7uYntzR30ri5nV2sH/WurWN+4m0OH9C74jnIqiVJ0Wpt28Px9NzB2n5cpa4yzJkffYTB5Bky4DGr6A6G3VNFv0/NRQcmLgCccxF589yKa2jJ7H5dpulRze5BbZq9mn5pyaioDNLfHXs+tUsOFPKdJxA2FGIB8h1Dg8T6hkZAXszzP7wgFH9daa28P/9AYc0v3Nf4TuCbi5wHgPqAGOMda+0T3z8uAvwBf7j7uxohj+gB3AUHgZGvtG90//3+EAplzjTEXWmsfzvIziIhPFOPb6VSiP/M3TjmE9zbtKslSo9EpOiNMA5cHnudLgZep62qFxqgDRkyDyVfBqNOhLPlzkuv8g2x4GfCEg9iTbn4xZqQjlUzTpQC2N8e/hpulhqGw5zSJOK3gAhBr7Z6Aw2Q5Gc8YUw+cBqwHfhu1+XrgauBSY8z3rLXhVZ+mAqOB+eHgo7s9XcaYHxIKQK4xxtxk99Y2PhcYBDwQDj66j2k1xvwUmAN8nVAKl4gUqFKs7x/vMw+orSDYBTtaOnrs60RH2e8B3obGZgxdnFy2nCsCzzIlsCJ2p8recFR47Y6RaZ/byQpK6dzHfAQ8/WoqeWjGMTHXrasKJB0ZySZdKp66qgAvfHdqwpK/To1gFNqcJhG3FFwA4pBp3b8/b63titxgrd1ljHmFUIByLKEgIfKYZ6NPZq1dZ4xZDYwC6oG1qY4B5gPNwPHGmKro1C0RKQz56KzlW6LP3Li7I8ERuZUadSvAcyyoaf2Uk3f8lc9X3svBZf+M2by66wBajprBuDOvhqreGZ/eqQpK6d7HfJWMjTdCMHXUIE69ZZ6jK7PH09QWZN7qLUk/l0YwRJxTqgHIod2/r06wfQ2hAGQUewOQdI4Z1f0rHIAkPMZa22mM+QAYQyhoeTfdxouIf5Riff9UKS6JZPNm2q0Az5GgpnFtqITum39kbPsuKNu7KWgNL3RNZGbwdNb0Gs+Cz0+HLDuqTlRQyuQ+5rNkbPQIQUt7kMuOHc4d89f2mLORbbpUMul8Lo1giDijVAOQvt2/70ywPfzzyP8LeXVMXMaYREudZzUJX0ScUYr1/bP9TNm8mXYjwMspqLE2VM1q0R2w5nmiq1ntooY/d57CA8HP8JHd15FJxk7MP8jkPvqhZGxLe5C75q+LCTzClayunlKf8J6G06WunLk46ahcNJXCFfFOqQYgqYQnl9ike+XnGBHxET901ryWzWfKttSoGwFeVkFN+25Y/jC89gfY+l7sgQNHwTFfo+Lw8xi8pokLHEzRcWL+QSb3Md8lY5dv3JEweGhuD/LAwvVcPaU+6TnGDe3HKz+ezp3z13HHvLVxK15FUilcEW+VagASHnnom2B7n6j9vDwmLmvtxHg/7x4ZmZDqeBFxR747a/kwZeSg7lK7sdWE+vYqpzxQRqNDpUbdCPAyCmq2fwiv3wVLH4DWOP9UjzwdjvlaqKqVMd0ldBP9k5+9XOcfZHIf81kyNjw65cR8ouqKANdOH8nVU+r3lIles3kX81ZvTTudS0TcUaoBSPj11agE28PlSSLnbmR7zKTuY3qkUBljyoGDgU5gXeomi0g0P1RGKrX6/uG5E/GCj/BnPnRIb8cm6roR4KXsjPfvBesXwKLfw3tPQ89aJXurWR19NQwYkfH1sxWefxB+7u+avy7l/Q3vu25LU8KgMd59zNeE63TnF2Uy8lVdEWD4gFp++dQ7cRcmTJbOJSLuKNUAJFzK9zRjTFlkJSxjTG9CCwS2AIsijpkL/ITQqun/HXmy7rK+owitir4u6piLu4/5c1QbphBaU2S+KmCJZM5PpW+97KzlM+hKNHcCYsuYOjVR140AL1FQU0U7F9e8xlkL/ws2vx17YP96OPprMP4rUN0ndrsHMnnu4+1rTGgaS/Sx8e5jPiZcpxtYZDLylWxhwnTSuUTEeUUdgBhjKoARQIe1NlyZCmvtWmPM84QqXX0TuD3isBuAWuAPEWuAAMwjVKlqijHm7KiFCG/q3ueOiDVAILRa+k3AhcaY2yMWIqwG/qN7n98782lFSocfS9960VmL16H08i1usrfT6ZQxzZbTAV50UDOERi4pf4FLyufSr2sXbI46oP4UOPbrcMhnoKws7jm9CAwzee4T7WttKFiccWI99YNqfVdGNp3AItORr1KsVCfidwUXgBhjvgB8ofs/w/8CHWeMmdn9563W2u93//kAQkHDh8DwqFN9A3gVuM0YM717v2OAUwilUf0kcmdrbdAYcwWhUY3HjDGPARuA6YTSrF4BfhN1zKfGmKsIBSIvGWMeBrYBZxMq0fsY8Ejmd0GktJVihyLZW9xbZq/m/oXrudfl0R8/lWfN1bih/Xjlkt5smf2/7N/wPGVETVKuqIFxF4ZGPPZNXmzQq9G4TJ77VMFi/aBaX/4dSVVCd0AWI1+lWKlOxO8KLgABxgOXR/2svvsXhIKN75NC9yjIJOAXhFKkzgQ+AW4DbrDWbotzzGvGmMmERklOA3p3X+8XwI3xUqmstY8bY6YSCmi+DFQD7wPfBW6LGjERkTSUYociVW58owejP0VR8SvYCauehIW/o+qjxRwYvb3vMDj6KphwKfTaJ+XpvByNy+S5L9S/I4lS7nIZ6SuK51akyBRcAGKt/Tnw8zT3Xc/eUrfxtm8Ersjw+u8A52V4zCuEAhwRcUApdigWfxDzTiSG26M/BV3xq3UnLH0wVEZ354bY7cNPClWzOvRMKEu/g+vlaFwmz30h/x1xOuWuoJ9bkSJVcAGIiEipdShaO4LMWtaQ1r5up0EVXMWv7etDQcfSB6F9V89tgUoYe15ofseQsVmd3suRhmTPfV1VgHVbdjNrWQOnjxlS8H9HnEy5K8jnVqTIKQARkYJTah2K51Zuoqkt+UJqYW6/2c5XedaMWAsbX4OFv4VVT8WW0a0ZAJNmwOR/gd6Dc7qUlyMNiZ57CM3ruHXOGmDv34NS+juSSkE8tyIlRAGIiBSkUupQpPsW3as32/koz5qWYAe8MwsW/Q4alsRuH3goHPcNOPICqOjlyCW9HmkIP/d3zl/H7196n5aOrph9IueflMrfkXT49rkVKUEKQESkYJVKhyLd0qSl+GYbgJYdsPT+UKrVp3FS1UZMg2O/CYdMDy2E4aB8jcY9sHB93OAjLHL+SSn8HRGRwqIARETE55K9Za+pDHDD2WM4a9z+pRd8bFsHi+6ANx+Cjt09twWq4Mjz4dhvwODDe2xyes0Or0fj3FgtXETESwpARER8LtVbdq9Xfs8ra+HDV0NpVqv+AURVMq8ZGCqjO2kG1A2KOdytNTu8HI1zY7VwEREvKQARESkApTTnJa5gB6z8O12v/payTctitw8aDcd9M1TVqqI67im8XLPDTW6sFi4i4iVHAhBjzFestX9KsU858Ctr7XecuKaISKkplTkvPbR+Cktmwmt3wKcNlEVtfsWMZ8jp32fEMZ9POb/DyzU73OTGauEiIl5yagTkIWPMNOBb1tqW6I3GmHrgYWAioABERESS29kQCjqWzIS2T3tsarUV/C14EvcGz+B9eyADX6hkwcSulB3uQl0dPJobq4WLiHjJqQBkPnAlcIwx5oLu1cIBMMacD9wJ9AF+49D1RESkGG16G169Hd5+DLo6e2zaYvvwQOdp/DF4Ktvos+fniUYvoiebD+kbPzUrrJDmTJR8Sp6IFDSnApBTgJ8DPwFeN8ZcCzwE3A7MALYBZ1lr/+HQ9UREfMvpKkuFKu37YC2seykUeKydE7t9wEjm7nM+X397JG1Uxr1W9OhFvMnmA2or6Nergh0tHTHHF+KciZJMyRORouBIAGKttcD1xpiXCAUedwL/DQwAXga+Yq392IlriYj42eIPtjHj/tfZ1br37X0pVqtKq9pU98RyXr0NNq2IPcmw4+H4b8GoM9j11ie0vR1n8nl414jRi0STzRt3d9C3VzkD6ipp1OrgIiJ542gVLGvti8aY2wgFHwOBLcDFCj5EpBQs/qCRC+5chI2qDOv3KktOj9ikrDb17clUv/UQLPo9fPpR1NEGRp8FJ1wHB07a89NMVhxPNtl8Z0snvzr3SCrLy5S6JCKSJ44FIMaYOuAPwIXAx4TmhVwIvGGMudxa+7xT1xIR8ZvWjiBXznw9JvgI82uVJTfWxUgUAAxmG1e0Pkfgf6+Azl09N5b3gqMuDpXS7V8fc2wmK46nmky+aWcr35o+MsNPJSIiTnGqDO9RwCPAIcCzwGXW2q3GmCcIpWM9bYy5Bfg3a23QiWuKiPjJcys30dSW/J83v1VZcmtdjOjPOcps5Oryf3B22StUmiBEzi2vGQhHXw2T/wVqByQ9b7oTr1NNJi+kyeYiIsXIqRGQhUAZ8CNr7a/CP7TWPmyMeZ1QcPJ9YApwrEPXFBHxjXSCC791fN1aFyP0OS3Hlb3D1wJPcXJgeexO/UfA8f8K4y6Cil5pnzudideZpGuJiIj3nApAPgEusNYujt5grV1rjDkO+BXwLYeuJyLiK6mCi97V5b7r+LqyLkZXF58NvMGI6l9wBO/HbF7GYRx+7k+oPPzzUBa9rKAzMknXEhER7zkVgBxlrd2RaKO1tgP4tjHmBYeuJyLiK8neuhsD9/qw4+toqlJnO6z4C7xyK5VbV3NExKYua3iuaxJ/qfwC3/7qJVR6UA1M62SIiPiXU2V4EwYfUfs95cT1RET8JtFb97qqAPd+dTKTD+6fx9bF50iqUlsTLL0fXv0/2NWz4KENVPLh0HOYP/Ai+h54GL/3OACITtdqaQ/y+JsNJb8+i4hIvjlahldEpNhkUqK20N6655SqtLsRFv8BXvsDtEa9g6rsDZNnYI79OsN7D2G4O83PiBvVvkREJDtOVcFal+au1lo7wolrioi4ITLgsMD9C9fHXbQuUac18q17S3uQZ9/294roGQdNOzbAwt/Ckvuhs6Xnttp94divw6QroZd/OvVuVfsSEZHsODUCUgbEq37fFwj/X+hjoMOh64mIOC7eW/Jo6XZavX7jnstigulUluKf78Art8Lbj0FXZ89t+wwPLRw47itQUe1Yu5ziVrUvERHJjlNzQIYn2maMOQS4DagFTnfieiIiTkv0ljyeVJ1Wr9+4uxrsbHgNFvwGVj8Tu23IWDjxOzD6HAjE/u/EL2lPrlT76uaHAEtEpNC4PgfEWvu+MeZLwNvA9cC/uX1NEZFMJXtLHk+yTquXb9xdCXashTWzQ4HHhldjtw8/CU78NoyYHirx5VW7suTWwoR+CbBERAqNO0XYo1hrW4HZwEVeXE9EJFOZvgVP1ml18417tHSCnbQFO+GtR+H3J8CfzosNPg77PPzLHPjqU3DIqQmDD8fblaNwta94sl2YMFWA1doRzKqtIiKlwMsqWJ2Av1bhEhHpNqRvdeqduqXqtLr1xj0eR4KdznZ462F4+RbY/kHPbWXlcOSFcMK1MOhQb9uVpXhpUU4vTKh5JSIi2fMkADHGDAS+CGz04noiIplYvnEHNz7zblr71lQGUnZaHVlfI005BTsdLbD0wdDk8k8/6rmtohYmfhWO+wb0PdDbduUgWVqUkyWS8xlgiYgUOqfK8P4syfmHAucQqoil+R8i4ivhVJrG3ekV6bvh7DEp8/tzWl8jQ1kFO2274I17Q4sH7t4c1fh+cMw1cMzXoCb7xRPdDsLijXIAKeedODUqka8AS0SkGDg1AvLzFNs/Bf7DWnuzQ9cTEXFEJpPPB9ZVcta4/dPa16tFCTMKdpq3weI7YdHvYxcPrB0Ex/0rTJ4BVb29bVeGEo1yXHbccM/Sorwc5RIRKTZOBSCnJPh5F7AdWGWt7Uywj4hI3qSbKpNNxzmt9TUckDLYadocWjzw9buhvannwX0OCK3hcdSlUOnsW3s3grBkk7/vmLc26bFOpkV5OcolIlJsnFoHZJ4T5xER8VqqVJkzxw7h9DFDfL++Q9xgZ2cDvHobLJkJna09t+1zcGgNj3EXQXn8ClGutSsHyUasmtuTV55yOi3Kq1EuEZFi42UVLBER30mVSnPL+eMLr0O5bV1oDY9lf4auqLktgw6Dk74PY74Yd/FAv0s1ilFTGYgbiLiVFuXVKJeISDHJ6v8+xphh2V7QWrsh22NFpHj4ZQXpokql2bwKXv41vP0Y2K6e2/YbB1N+AId+Dso8WQLKFalGMa6ZOoIHFq4v/O9SRKSIZfv6az1gszjO5nBNESkSflpBuqU9yAdbd/OVo4exvbmD/rWV1A+qLaxUmn++A/NugndmEfNP89BjQ4HHIYlXLS8kqUasrp5Sz9VT6l1Pi/JLAC0iUoiyDQYeILsARERKXKoVpBf8aJpnHblkgZCTbXCts7rp7VDg8e4TsVsFCx8AACAASURBVNvqT4Ep34eDTiiKwCMs2YjV774ygWff3nufr5pS78qz5KcAWkSkEGUVgFhrv+pwO0SkRDy5/GNfrCDtVSDkSmf1k7dCgceqp2K3jToDpvwQDpyY8WkL5a1+9OTvIX2r2bitma/OfL3H/A83ggI/BdAiIoVK6VAiRcqPncnlG3dw/RMrk+7j1QrSyaopxQuEsrmfjndWP14G826G9/4Ru+3Qz8HUH8L+49M/XwS33+o7/TyGJ38v37iDK2cujruQpBtBQabPjYiIxMo6ADHGXAYss9a+5WB7RMQBfkwRCXfGvS6VmkiqQCdye7b307HO6sdvwks3wepnYrcd9nmY+iPY70jAJ4FSFLeex+2727nkntfY1Zp4mSmng4JMnhsREYkvl1IoM4EvRP7AGHO5MWZuTi0SkZyk6ky2diQPANySzorjXq4gnSrQCW/P5X7m3FltWAJ/PB/uPDk2+Bh9NlyzAC78457gY/nGHZx081y+/cgyfj17Ndc9vIwTb5rL8o07Ys8dIZ1AKVtuPY/hz5os+AhzMihI97kREZHEnK7FOByY6vA5RSQDbnYmc5HO+g1elkoNV1OKJzIQyuV+puqMDulbHX/DR2/AQ+fCXdNgzXMRGwwc/gX4+qtwwYMwZOyeLXkNlJJw43kMf9amtvSCFyeDgnSfGxERSaxwi8GLSFx+TRFJ1Qm84ewxnqaHhaspRXcmo6tg5XI/k3VWAW58dlXP0YmNi+HBL8Hd0+H92RF7GhjzJfjGQjj/fhg8JuZcbgZKuXTg3Xge0xlNC3M6KEj3uRERkcQ0CV2kyPg1RSTV+g1njdvf8zZFV1OKN2cil/sZ7qwmmiTd2D068colval6+SZYG53BauCIL4fW8dj3sKTtSNWRX7u5KeG2VN9NLh14N57HdIOWAS4FBek8NyIikpgCEJEi42ZnMhd+XXE8XE0pkVzv57ih/fjxZ0fzg8di63UcYdbx3bbHqJq5rOcGUwZHnBsKPAaNSutzpOrI3/fqeqaPHhx3lMnN78aN5zHVZ60sL+NfTzmEq11aBwRSPzciIpJYrgGIFiMU8Rm/dvShMN8cO3E/N+1s7fHfh5kNfKf8MU4PvNFzR1MGY88PBR4DD8monck6+gC7WjuTVrRy67tx43lM9lnrqgIs+NE0+tUkTn0TEZH8MtZmF0MYY7rIPACx1lqNujjIGLNkwoQJE5YsWZLvpojPtHYEC6qj73e53M9Zyxq47uFljDANfKf8r3w+sKjHdovBjD0vVE43w8Aj0vKNO7j47kVJJ2ffeuH4vLy5d/p59GOpaRGRYjdx4kSWLl261Fqb+Wq3EXINBozL+4tIlpQi4qxc7ucZ+zXzu153cHrXywRMz/c2s81xTLnq11TtHzuxPFPjhvZjxon13DpnTcJ98lWEwOnnsRBH00REJCTrAMRaqwpaIiLJbP8Q5t9M1bI/c6YN9ngF83xwIvdVXsSPv3oeVfs798a+flBt0u3FtE5FPoJsp1d0FxEpRUqHEhFPlFTHbWcDvPw/sPQB6Oq5UN4/B5/ES/tdRfXwSdznwj3waxGCaIX4PCjtS0TEGQpARMR1JdNx27UJXr4FltwHwagA4OCpMO2nDB56NBe42AQ/FyGAUOBx1/x13DF/Lc3te+eq+P15SLXQY6LJ/SIiEksBiIi4qtg6bnHf3LdvhwW/gdfvgc6WngcMOx6m/QSGn+hZG/06P2L5xh0J10Tx+/OQzkKPmnMlIpIeBSAi4iq/dtyySQGKHsnpTTNbej3DFYFnCHRGTe4+YFIo8Kg/BYz39TecmB/hZJpUOBCNF3yE+bkj78aK7iIipUoBiIi4Kp0Vuh9/s8HTuQDZpIRFjuRU08blgef5evkT9LO7IXKax37j4JSfwMjT8hJ4OMGNNKlkgWgkv3bk3VjRXUSkVCkAERFXpbNC967WvT34msoA10wd4doq1tmmhD23chM7mpq5OPAS15b/jcFmR4/tn/YZSZ/P/hwO+1zBBh7gXppUuoGFXzvyhTK5X0SkEKiUroi4Ktxxi8cYegQfAM3tQW6ZvZoTbprL8o074h6Xi3RSwmJ0dVH97t94ofIH/GfFvT2Cj/Vdg7m2/Zvcf+QfYfTnCzr4yCRNKlPpBBZ+7siHJ/dHP8t+mdwvIlJINAIiIq5KVJWpriqQdMXuRpcmJWeUy28trH4W5vyS0zev7PHK5p+2H7d1folHgifTSTm3DqxzrI354maaVLIRBIABBdCR9+vkfhGRQuNIAGKMmQm8ALxorW1w4pwiUhxa2oN8sHU3Xzl6GNubO+hfW0n9oFrWbdmddMVucGdSctq5/OsXwJxfwMbXemzfYWv5XefZPBA8jVaqAH+/uc+Em2lSiQJRt1PunBI9If8qn7dXRMTPnBoBuQy4FMAYswaYC8whFJBsc+gaIlJgkk32TpfTk5JPHzOEAbWVNO6On8t/Rv9/woPfgrVzem6sqOWfY67k/BWT+LCtoscxfn5zn0klK7fTpAp1BKFk1rEREfGIUwHIGGAacCowFbgG+BpgjTFvsTcgmW+t3e3QNUXEx1JN9n7hu1OTpuSEOT0p+b1Nu+js6or5+bjqzdw/dDZV9/6j54ZAJUy6Ek76HoPr9uW5z4U69Gs3N7G9uZ3+tVWsb9zNoUN6+64jnWnH2Ys0KSfKA3up2NaxERHxA0cCEGvtu8C7wG+NMQaYCEzv/nU8MA74DtABVDtxTRHxt1STveet3sI9l09OWHEJnE9tCncmd7bsnfg+mG18u/yvnMc8yj+ICExMGYy7CE7+MfQbtufH1RUBhg+o5ZdPvePrN+LZdJwLPU3KDX5dx0ZEpJA5PgndWmuBN4A3jDHPAJ8DrgP2BSqSHSsixSOdyd7njD+AV348nTvnr+OOefHXnHCywxvZmexNM9eUP8GVgWfpZaI6mKPPglN+CvseFnOOQnkjnm3HuVDTpNyiBQhFRJznaABijDmYvSMf04CBgAHWA/cQSsMSkTxxcmXrVNKd7F1dEeDa6SO5ekq9653eDY3NVNLBJYEX+Nfyv9PfNPXc3u9ohp13IxwwMeE5CuWNeC4LQEanSbW0Bz1fLNIvtAChiIjznKqCdRehoOMgQgHHPwlVxZoLzLHWrnfiOiKSPa8n0ma6cJvrcwO6ujiueS7nVP6KYWVbemx6u2s4/915EeeffCnDDkjeBi/fiOcSMKbqGN/7ynqa2vamoiV6Fkp9ArYWIBQRcZ5TCxHOIBR8zAaOs9buZ6292Fp7j4IPkfxLlTbU2pF4PY5s+WrhtnUvwV0nM2nJD3sEHxu7BnFt+zc5q/0/eK9mYlqdSa/eiC/fuIOTbp7Ltx9Zxq9nr+a6h5dxYgaLMyZbABLoEXxA/GchH8+N3/jqORYRKRJOpWAtAI4GTgNOMcYsJpRuNQdYZK1NvKyuiLguX2lDeZ9PsGkFzL4+pqTuDnpzW8cXeCh4Ku1UZNSZ9OKNuBPzTMId52ST/KNFPwuFkm7mtrw/xyIiRcapKlhTjDG9gJMIleI9Bfgp8DOg2RizgFAwMtdau8SJa4oUA6/mZORzIm2mqVWO3JMdG2Duf8JbjwB278/Le8GxX6f6mGsZt7aZfbLoTCaqFOXkG3GnOv7jhvbjx58dzQ8eeyvta0c+C5qAvVehlQ8WEfEzxyahW2tbgOe7f2GM6UcoEJkGnAd8hlBPwPHKWyKFyMvc+kKZSJvzPWneBi//GhbfCcGIDrwpg/EXwyn/Dn32pxo4Z/w+Wbcz1zfiqYIsJzv+m3a2pr0v9HwWCuW5ERGRwuJKMGCM2YdQ8HEqocnp+7pxHZFC5XUp13xMpM10JCOne9LRCq/dAQtugdadPbeN+iyc+vO4JXVzke0b8XSCLCc7/pnsG/0saAK2iIi4wakqWOH0q3AJ3vGEqmEZ4FPgKfbOCREpeV7n1idbYO6y44Y7dp2wbEYysron1sLbf4UXboCdG3puO3AyfOYXcNDxOX0WJ6UbZDnZ8U+1unlYTWUgJoXMi3QzEREpPU6NgGwntMigAVqBl+ie8wG8bq3tSnyoSOnJR259OG0octG/5vYgt8xezQML1zuW+pXtSEbG92TDa/Dcv0PDGz1/3n8EnHo9jD4bjMnqM7gl3SDLyY5/+FwX372IprbEVatuOHtM3O9fE7BFRMRpTgUgb7J33Y9XrbVtDp1XpCjlI7e+pT3Ik8s/jllxHJxN/cp2dCfte7JtHbzwc3hnVs8dagbAyf8GE78KgYosWu6+dBYHDHOy4x8+10k3v8iu1s6Y7QPrKjlr3P4Jj9cEbBERcZJTVbCOc+I8IqXC69z6eClR0ZxK/cp2dCflPamvhud+Aq/9AboiysoGquDYr8NJ34Xqvjm13W2pgqz7Xl3P9NGD94xEONnx71dTyUMzjlE6lYiI5J0qUonkgZe59YlSouJxIvUr29GdRPdkSK3hrxNXUP37q6Ble8+DjvgyTL8e9jko53Z7IdV8jF2tna4UIQhTOpWIiPiBowGIMaYKmAwcAFTF28da+4CT1xQpVF51BpOlREVzIvUrl9GdHvdk626Obl/I5Pdvpey1tT13HHoMnP5fcOCknNvrpXTmY7i9wJ/SqUREJN8cC0CMMVcCNwOJiusbQuuAKAAR6ZZOZzDXhfnSHdVwKvUr19Gd6ooA5+y7Gd78KXy4oOfGfgeFKlsdfo7vJpina9zQfsw4sZ5b56xJuE/kXBAREZFi41QZ3jOAu4GVwH8CvwYeBxYDJwOnAY8CTztxPZFS4cRihemMajid+pX16M7Oj2DOL+Gth3v+vKovTP0BHH01lMcdXC0o9YNqk26PngsiIiJSTMocOs/3gEbgeGvtb7p/tsxae6O19gzgKuBLwNpEJ8iEMeZAY8y9xpiPjTFtxpj1xpj/7V4AMZPzfNEYM9cYs8MY02qMedcY8zNjTHWC/SuMMd8zxiwzxjQbY3YZY141xlyS5Bp9jDH/3n3MdmPMTmPMCmPML40xgzL97FI6UpWzbe1IXFI1UjglKp6aygC/OvdIFvxomuOd3fDozremj9xTWjah9t3w4n/B7RN7Bh9l5XDMNXDdMjj+WzkHHy3tQR5/s4Hb56xh1rKGtO+h0+dM9p1AaC7IxXcvYkdzeqlzIiIihcSpFKwJwCxr7a6In+0Jbqy19xhjLuX/t3fncXqN9//HX59MZrJLSJAiRBAhNCSC2gUJaqvSzS62avFDW1vVXktLi1JVNLbvV/ul9hJij71B6BAhkSZCSCZCtslMJp/fH+fcyT137n059zLv5+NxP45c51zXue5rknE+59rgAmC/Qm5kZpsArxDsrv4wMAXYHjgD2NfMdnb3pizKuQz4NbAIeIAggNoFuAQYbWb7uPvSuOsbgCeAUcAMYFx4an/gbjMb7u5nJdyjN0Ev0GDg33F5dgvvfayZbefuX+TWClKIQoc0RaVYmxVmGhJV1rfs7vDe/fD0b2DhZ+3Pbf7dYLhVv00Lvs3Sljb++uJ0bnmx/RLEhbZBvj1U2cwFWbSsjV2veY57xu6gnhAREakpxQpAegCfx/25GVgj4Zp/A8cX4V43EwQfp7v7jbFEM7sOOJNgCNgp6Qows20JgqEFwAh3nx6mG3AD8HPgHODiuGynEgQfrwL7uPviME8Pgv1PzjSzR9z9+bg8JxEEH39z93bf3czGAccAJwOXZv3tpSDFGNIUlWJuVliRqx/NfguePBdmvd4+/VvDYPQVsPGuRbnN5FkLOH7cGzQtbl3tXCH7n+S74WJMNnNBSr0qloiISDkUawjWHCB+ONHnwOYJ1/QGCvo/qJkNIphPMgO4KeH0RcBi4KgwKEjnewST4m+LBR8A7u7A+QST5X9qZvH1PTQ8XhELPsI8i4HLwj+elnCfQeHx0SR1eCQ8ahhWRIo1pCkq/XsnHQm4Uq4rVuU0JKqUFs6Bh06Fv+7ZPvjosQ4c9Cc48fmiBR+xn3my4CMm1puUq2x6qDLJNBekkPqJiIhUqmIFII20DzheAvYys10BzGwr4AfhdYUYFR6fcvcV8SfC4V8vA92BHTOUE1vqZ3riibCceQS9LFtnkycuba+E9Nj3/W6SPAeExwkZ6ipFUowHxqhMnrWAq574IOX5nl3q2H1wlcWuy5fBxD8E8zzeuXdVeqd62PkMOG0SDD8KOhXr11L2SxDns/9JMXqoMs0FyaUsERGRalGsIVhPAH80s/Xc/TOC5XgPB543s/nAWgQ9DpcXeJ9YkDM1xfmPCHpIBgPPpClnXnjcOPGEmfUC+oV/HAK8E5dnszBP4pNhrKejt5n1d/fYk+xtwI+BsWa2NTCRoB12BbYELnD3h9PUM75ek1KcGpJNfinukKZSyuat/aJlbex93QsFDx0rxXyY1crccl26TnsSnroAvprR/uLN94fRl0PfTQq6ZyrZ/kzz2f8k3w0X42UzFwQy94ZJ6VTLnDERkWpSrADkLwTL7H4F4O7vm9leBBOtNyGY//FHdx9f4H16h8evU5yPpWd6InsMOA84wcxudvcZcecuJwgSoP2eJo8B3wHON7PnYhPUzaw7wXwS4vLMAXD3ZjMbBVxPMNdj+7jr7idYqlgiUowHxihk+9a+kPkLUJr5MIllDrZZ9O96Dzv4e+0vXHsI7HslbDIqSSnFk+0SxPnsf1LIhovxYvNzdr3mORY2L096zVVPTmHwur0qbp5SraumOWMiItWkKGMd3L3V3b9w95a4tNfc/QB338Ld9ytC8JGNWODg6S5y91cIgqY1gXfN7G9mdq2ZvUYwAT02dCr+leT1wFvAzkCjmf3JzG4Kr90M+Cwxj5n1BcYDhwA/AvoS9K78iKAX5HUziw9K0tV5RLIPwSpgkoV0w12KtQlfMeTSE5Pv0LFSzIeJL7MPC7m08994ouHc9sFH1z6w3+/glJczBh/FWDI30xCnvgXsfxLrvUgsP589Vfp0b+CesTvQt0d90vNNFTpPqZZV25wxEZFqUrSd0LNhZmu7+9wCioj1cPROcX6NhOtScvdTzOwNgpWqfhAmTwLGAGOBocCXcdcvNrPdgHMJhpedSDDp/RmC3pSXwkvjv9+1wO7Awe7+SFz6382smaAH5BqCzRqlxArdoTsqufbE5DN0rFhL/CaWuWDREo6pe4YzO99PH1u5VgPLvRMzB/2IQYdfAd3XylhWsd48p/qZd2+o45TdN+Gk3QYV9HMv5upiwwb04dz9tuCX97+b9Hy+PxfJTyn+jYiISCCSACTcD+Mcgt6FxOV5c/FheByc4vxm4THVHJF23P0O4I7EdDO7LfzPNxOuXwxcGH7ir9+YYJL6x+7+Vdyp2ETz55LcPpY2Ipu6SnFU5HK0CdIN7UkmU8CSbAx7KebDtE17kccbLmfzTp+2S3+pbSsuXX40B20witOyCD4KXd42Ual/5rHVxYphztfNac9XyjyljqBa5oyJiFSjggMQM9uI4CG6FXgjflO9cEfxM4FfEAx3KvQ3duyhfbSZdYpfCSucPL4zsBR4Ld8bmNloYCPgBXefnWW2E8PjvQnpsW2b1wYWJpyLLWGkrY4jVswHxlJI9dY+mUxDx1L1JBz9nYFpy82pF+brT+GpX3No44PtBnXOWLEuly8/kgkrhgOWdZmZ3jw/OvkzDt9uQPb1o/J/5jHVMk+pI9DPQkSkdAqaA2JmNwDTCCagPwTMMLNTw3N7EPRYXA50I5hDMSh5Sdlx92nAU8BA4GcJpy8h2BDxrvh9OsxsiJmttlKUma3WExPusn4rwTyOc7PMsz9wNjCb4DvGiw3LusjMOsXlqQvrC+lX65IOKvbW/vofbcPZ+wzmrH0G0zfHuQbpehLufOWT1cqLLzer+TDLl8FL18KfRkLjgyuTF3lXrmz9MaNbrmHCihGA5TTHJtOb5YseaWTyrAVZlVVtqmWeUkegn4WISOnk3QNiZscQDKlaQbAsrREsk3uDmS0mmORdFx4vD5fnLYZTgVfC++wV3nsHYE+CoVcXJFwfWzLXEtJvD3tvJhGs3rUpcCBQD5zg7sl6UaaY2bsEE7+XAdsR7E0yFzgwYfgVBMPOdgKOBkaY2bNh+l4Ey/DOI9j4UGQ1iW/tT9ptUE7DiNL1JDQtbuWsfQZz16sz8psP89EEeOJXMH9au+SvNjmEH8/YnynLeuZeZijTm+UlLW01uzt4tcxT6gj0sxARKZ1ChmAdSzB8aE93fxUgnKT9NHA78CnBQ/l7KUvIg7tPM7PtgEuBfYH9CXZevwG4xN3nZ1nUY6yagN6LYML5A8A17p58FmgwxGpfgqCiHphJMNH86mST6939PTPbliAQ2YdgKV4HZgF/Aq7KYZiXdHC5DiPK1JNgkPvciK9mwJPnw4ePt09fdyuW7XMVLywcxOh1FzFySStr9Whg0No9cp5vkc0cmFqeBFwN85Q6Cv0sRERKo5AA5NvAg7HgA8DdXzSzh4DDgOOLHXzE3WcWcFyW1yb2fMTS7wTuzPG+vwR+mWOeT4BTcskjUgzZjGHPOqhpXQoT/xjsZN62bFV6l94w6tdM7n8oY+9+m3mL3ll5Kt83xbE3zz/+62ssaUm91GktTwKuljkrHYF+FiIixVfIHJDewMdJ0j8Kj68mOSciESnKGHZ3+OBRuGl7eOGq9sHHtkex9JQ3+Een/fjx7f8u6n4Jwwb04ZKDhqa9RpOARUREqlMhAUgngpWvErUCxHYKF6k1xdggLwoFb5Q37yO451D4+5GwYOaq9PW2hROeYfLwy9n1pvf41QPvpuypyHejRIADh62XMoDq26Nek4BFRESqVKHL8KbdcVyk1hRrg7yo5DWGfdkiePEaePVmWBH3jqHbWrD3RbDt0TS3OWOvfjarvUryHSoVC6COvuN1vl66vN25thXw4ZyFFdnmIiIikl6hAcjFZnZxshNmluyVqLt7pLuvixRLsTfIi0rWY9jd4T8PwFO/hoWfr0q3TrDd8bDnBSt3MR//7uyibZSYzub9e9G5bvWO2gVLWyu6zUVERCS1gvYBIVhIJ5dPofcTKZtMG+TlO9SoEjTPbmTuTaPhgbHtg48BO8BJz8N3r10ZfED2vRqF7pcwvnEOTTXa5iIiIh1V3r0R7q5gQjqUTA/dVbkqU8tivnzsMtZ691bWZlWn5Tz6sGS3i9hwz+PAVl9ILptejWLsl1CTbS4iItLBaTiUSJb69+6a9nxVrcrkDlMex584h3W++XRl8nLvxLi2Mfxx+ffp+kofJu66ImkAkW6vjoY64+KDhnLo8A0KHh6VzVLCIqWwtKWN8Y1zmDVf+3+IiBSbAhCRLEyetYCrnvgg5flChxpF6qsZ8MQ5MPVJ4vs23lixORe2HseHviEAi9Js9pdql2iAljbnuqenMnS93gVPEk8X6FRVm0tVqbbFJkREqo2GUYlkEJt83rQ42arT0LcIQ40isXwZvPg7uGkHmPrkyuQm78UvWk/mBy2/WRl8xKQb4jRsQB8mnLU7vbqu/h6jkD1A4hW8lLBIjjItNlGpy26LiFQT9YCIZJBu8jnAufsOqfy3otOfh8d/AU0fxSUanww8nEOm7M3X9EyaLXGIU+KwlJblK1jYvDxp3nlpelBykddSwiJ5ymaxCe2MLiJSGAUgIhlkmuj80NuzaejcKbKH4pzGpi+cA+MvgP/c3z69/7fhu9fxrf7Dqb/6WchiiFOyYSndG9J/32JNEs96KWGRAmnhAxGR0lMAIpJBponOL09r4uVpTZGMEc96bHrbcvj37fDs5bDsm1XpXdaAUb+G7cZCXWe6QtK5HIlDnFINS0m1A3qMJolLtdHCByIipacARCSDdBOh45V6Q8J0Y9OPuO01Jp4zij7dG+DTf8NjZ8Kcd9sXsNVhMOYK6NV+4nY2Q5wyDUNLRpPEpRpp4QMRkdLTJHSRDFJNhE6mlJvjpQsCFi1r47vXPMq8+06F2/ZuH3z03QyOfhgOu3214CMmNsTptL024+Bt1l8tgMo07CRxKJYmiUu10sIHIiKlpx4QqWpRrdUf30vwjzdn8fK0ppTXlmqMeOpyncPqXuQ8/x/6Tlm4KrlzV9jtF7DT6dC5S0H3zjTs5JKDhtLQuVPJJ4lrbwaJghY+EBEpLQUgUrWiXqs/fiJ0ugCkVGPEk5U72GZxef0dbN/pw/YnNhsD+18Daw4syr0zDUs5cNh6JX84094MEiUtfCAiUjoagiVVqZxr9ccexpMp5Rjx+Pt2p5nzOt/LvxrOaxd8fOr9eGzL38NP/l604APKPyxFezOIiIjUDgUgUpWyWau/VMr1MN61vo7bj96OQ7r8mwldfsHJnR+ns60AoNXr+PPyA9ln2TW0Dd4fzDKUlrvYsJTrf7QNZ+8zmOt/tA0TzxkVSe9DOX/eIiIiUlwagiV5K+d4/GlfLk57vpjzMJJ9z7KMEZ8/nWEv/oo/2tPtkl9bsQW/bj2Oj32Dkq/SU65hKdqbQUREpHYoAJG8lHM8/uRZC7jj5elprynWPIxM37PYD+NJgzpa4eXr4aVroW3Zymub6M3lLT/hwRW7AFbTq/RobwYREZHaoQBEcpZpPH6p9sGIv/eiZanH/BerFyDq75ks2Plu9w+4ruc9dPnmk7grDUaOpceu57PH9GYGdYBVevLdm0GrZomIiFQeBSCSs2zG45dqmE6mDfF6de1ctF6AbL7n6C37F+UBNzHYWZf5XFh/DweseA3iNjLnW9vAAdfB+iPoChy8TR5frArF5t1k2rE9nlbNEhERqUwKQCRn5RyPn6ns43YaWLSHy0z3emP6fC577P2iPODGgp062ji2bjxndr6fnta88nxr517Uj74ItjseOnXMN/i5zLspZy+diIiIpKcARHJWzvH4mcr+8IuFXPjQe6zVowuD1u5R0JCbTPd65N3PWNi8vF1avg+4M5uWMNymckX9HWzRaWa7c/9s24X5O1zICdvvmH3l81TpQ5ays1gf1gAAIABJREFUnQRfzl46ERERSU8BiOQs3/H4pb43wPjGL1arT75DbtLdq2eXutWCj5icH3CXzOfAmVdxWpf72yV/tGJ9Llx+HK+t2JLrvzUg5/rnqpaGLGnVLBERkcqlfUAkZ+XclM4djt5xIN0bsrtHIRvVpfuemYKLrB5wV6yAt+6CG0cw8L+rgo+l3sDVrT9i/5YreW3FliUP6qD2NvrTqlkiIiKVSz0gkpd89sEodHhPsjf0DXVGS5unzVfIkJtU33N84xzufX1mynwZH3Dn/AcePwtmvd4u+XkbyQXNRzKbtYHodhqvtSFL5eylExERkfQUgEjectmUrtDhPane0GcKPmIKGXKT7Hvm/YC7bCE8dyW8fgt4XK9C7w1h/2vYcdBofhXl5oahWhuylM+qWSIiIhINBSBScsVYkSjT8ruZFHvITc4PuO7Q+CCMPx8Wfr4qvVM97Hw67PoLaOgeLq0bfU9Dpvbp37srD709u2InpydTlt3qRUREJCMFIFJyxRjeU8gb+FINuYl/wJ325SK+WtLCWj26MKNpMZv377XqQbdpGvzrFzDt2fYFDNwVvnsdrD246HXLVboend7dOnPVk1NoqsLJ6bn00omIiEg0FIBIyRVjeE+mN/S9unZOuipVqYfcdK2vY2DfHkn3A7njiK359ow7YOIfoC3uwb7HOjDmt7D1YWBWknrlKlWPTt8e9bStoF3wAdpPQ0RERPKnAERKrhgrEmWaczHhrN15YercsCeilbV6NBS8D0g2k+ZTDS8buuRN1rzz58CcVYnWCUaeCHueD90qr+cg2ZClluUr+OX97ya9vhonp4uIiEj5KQCRkivGikSZ5lz06Z55adxcZDtpPnF4WX+a+E393exf90b7AtcbDgdcB+ttW7Q6lkLikKUbn/ko7fXVNjldREREyk8BiJRcsVYkimpScS6T5mMP4J1ZzrF14zmz8/30sGWryurci65jLoERx0Kn6huqpP00REREpNgUgEgkihU8RDGpOJdJ8xv27c5Im8Ll9XeweadP2117f9tu9NjvCvYb+e2S1reUtJ+GiIiIFJsCECmaTHMmqmVFoqwnzS+aywHTLuXgLve1O//hig24sPU4pvcYxsThQ7O6Z6GbNJaK9tMQERGRYlMAIkVR6EaDlSTjsKO1usCbt8Ezl1LX/PXK9MXeheuXH8odbfvR0NCFU74zMKv7VXrbaT8NERERKSZzz24naalMZjZp+PDhwydNmlS2OjS3trHL1c+mHKZTjKVao+whSPd9dusxk3Hr/J1On7/dLr1tyIHcucbJ/P61xSxpWbXDeaZAIoq2ExERESmGESNG8NZbb73l7iMKKadTsSokHVemOROPTv6soPInz1rArtc8y//7+ztc+/RUzrjvHXa5+lkmz1pQULmpxIYd9evZsDJtDRbxu253cmfbee2DjzU3hiMeoPX7d3LzW83tgg9YNXG9ubV9ekw2801EREREaokCEClYpjkTFz3SmHewkGlFqlQP9oWKDTu6/ofD+Ou3p/LmGudyuI/HCHsM67rAHufBqa/BZnvnHUgUY5NGERERkWqiAEQKlmnOxJKWtryDhXL2EHSd/yEHv30i+0y9mC4t81ed2HRv+NlrsMe5UN8VyD+Q0DK3IiIi0tEoAJGCxZZqTSffYKEsPQTLFsL4C+CWXWDmK6vS11gffnA3HHE/rDWoXZZ8A4l0badlbkVERKQWKQCRgsXmTHRvSD9ZOp9gIdIeAndofBD+tD28+ifwsMemU2fY+Qz42Ruw5UFgtlrWfAOJZPNNYnlyXeZ2aUsbD709mxuf+YiH35ldsuFpIiIiIoXQMrxSFMMG9OGSg4byy/vfTXlNPsFCZBvhNU2Df/0Cpj3bPn2jXeC7v4d1tkibvZD9MoqxzG2plvKt1P1JREREpHopAJGiOXDYelz95JSiBgsl3wivdSlM/EPwaVtVfnOXvrw48AyWDvk+Y9b8Fl2zKKqQQKKQTRozTdTPZynfpS1t/PXF6dzy4rSclhUWERERyUQBiBQs/i350d8ZyJ2vzqCpiMFCyTbCm/oUPPFL+GrGyiS3TvyDMVzx9aF8M7kHTJ5Mv8c/yPqhuxy7vWczUT+XOk2etYDjx71B0+LWpOXlG9SIiIiIgAIQKVCyoT99e9Rz1j6DMShasFDUB/sFs+DJc2HKY+2SV6w3nKO/+CETFw9ol17pD93FnKgf601JFnzE5BPURE1Dx0RERCqXAhDJW6qhP02LW7nr1RmV98C+vAVeuwleuAZa4x7Ku/aBvS/m0bq9mfj35HNYKvmhu5gT9dP1psSr5P1JSjUfRkRERIpDq2BJ3qpqF++Pn4E/fwcmXNw++NjmSDhtEmx3HDPnN6ctolIfuou5lG+237FS9ycp18aVIiIikj0FIJK3TA+r075cVP5lYb/6L9x3BNxzKDR9vCp9naFw/Hg45Cbo0Q+o3k0BUy3l272hjqO/MzCnsrL5jpW8P0lVBcUiIiIdlIZgSd4yPaz+7ZUZLGxevvLPkQ6DaW2Gl6+HidfB8riejS5rwJ7nw8gToa79X//IlvwtgdhE/VtfnM4tLwQrVy1paeO6p6dy16szsm73dG0A0LdYq4+VSFk2rhQREZGcqAdE8pZu6I8Z7YIPiHAYzIdPwM07wPO/bR98bHNEMNxqx5+uFnxAcTcFLJe7Xp3RbtlcyK3d0/WmnLXPYF4+Z1RFz6Oo1l4sERGRjkQ9IJK3VHt09OxSx6JlyR92SzqZu2kaPHkefDS+fXr/b8P+v4cNd8hYRMmW/I1AsZbjreY2qOZeLBERkY5CAYgUJNnD6vS5i7n+mY9S5sllGExWy6m2LIGXroVXbmi3mSBd+8Bev4ERx0Kn7B+ey7GXRzEUc/hRtbZByTeuFBERkYIpAJGCJT6sPvzO7LTXZzsMJuNyqu7wwSMw/gL4elZcToMRx8Co30CPvjl9l6iUYp8KDT8KVHMPjoiISEegAESKrhjDYDItp/ry2A3o8vR5MP259hnXHwH7/y44VqhS7VOh4UerVGsPjoiISEegSehSdMWYzJ1qPkMPlnJC8zjqb92lffDRvS8cdCOMnVARwcfSlrakSxCXcp+KWphEX6hU7S4iIiKVQz0gUhKFDoNZfb6Cc1CnVzm//l7621fgYbJ1gpEnBEvrdltztXJKMdQpk3Q9HDOaFhdlongqHXn4kXZAFxERqQ4KQKRkChkGEz9fYSubzkX1dzGy09T2Fw3YMRhu9a1vJy2jHA+kmXo4jthho7T5i7FPRUccfpSp3SeeM6pDBGEiIiLVQEOwpCKNGdqfwT2WcFXnW3mk4cJ2wcc8+tBy0J/h+CdTBh+lHOqUTqalcOcvTn4upqNMFC827YAuIiJSPRSASOVZ3kLXN27iiU5n8qPOz9PJgvFWrV7HPXYgnx81kYbhPwl2O0yhXA+kmXowenWpS7l5Y0ebKF5M2gFdRESkemgIllQOd/joqWAzwfnTiB8w88lauzB92/M4bMfvZDWUplwPpJl6MO5+fSYXHbAlVz05RftUFJGWIBYREakeCkCkMsydCuPPg48ntE/vuxnseyUbb7YPG+dQXLkeSNMthQuwsHk5Vz05hQln7c4LU+d2uInipaIliEVERKqHAhApr6UL4IWr4Y1bYcXyVeldesMe58D2J0Fdfc7FluuBNLYU7hG3vcaiZcnnmcxb1MILU+d2uInipaQd0EVERKqHAhApjxVt8NZd8OxlsKQp7kS4i/mev4aea+ddfDkfSIcN6MPYXQZx/TMfpbxGcxKKryMvQSwiIlJNFIBI9GZMhCfOhS/ea5++0c6w75XwrWFFuU05H0gHrd0j7XnNSSiNjrgEsYiISLVRACLR+eq/8PRv4P2H2qf3HgCjL4MtD0m7slU+yvVAqjkJ0SrHhpMiIiKSHwUgUnrNX8NL18Jrt0DbslXpnbvBLmfCTqdBQ231CGhOQnS0A7qIiEh1UQAipdO2HCb9DZ6/MmGeB7DVYbDPJdB7g6RZy/FGu9j3jB8CNu3LRXy1pIW1enRhRtNiNu/fS0FIEWgHdBERkeqjAESKL7afx1O/hnlT259bfwSM+S1suGPK7OV4o12qe3atr2Ng3x5c9tj77cru3lDHKbtvwkm7DdIDcgGy2XBSc0JEREQqi3ZCl+Ka8x7cdTD8zw/aBx+9B8D3b4exE9IGH5neaDe3Jl/aNp2lLW089PZsbnzmIx5+Z/ZqZZTinpnKXtLSxnVPT2Xnq59l8qwFeZff0WkHdBERkeqjHhApjm8+h+cuh7fvBXxVekMv2PUs2PGnUN8tYzHFfqOdTc9GKd+ipysboElDhQqiHdBFRESqj3pApDAti+H5q+HG4fD2PawMPqwTbDcWTn87CECyCD6guG+0s+3ZKOVb9GzyxoIcyV1stbFktNqYiIhIZVIAIvlZsQLe+R+4cQQ8/1tojXvQ3mw0/PRVOOC6nDcTLOYb7Wx6Nop9z3zzaqhQfmKrjSUGIVptTEREpHJV5RAsM9sAuBTYF+gLfA48BFzi7l/lUM73gNOA4UBX4BPgf4Fr3L05yfX1wOnAUcBgoA14D7jZ3e9Jc5964KfAEcAQgnafDbwGnO3uc7Otc0WY/RY8egbMebd9+jpDYczlsMmovIsu5v4Z2fZslHLPjnRlx9NQofxpB3QREZHqUnU9IGa2CTAJOA54A/gDMB04A3jVzPpmWc5lwD+BkQTBy03AN8AlwAQz65ZwfQPwJPB7oDcwDrgbWA+428yuS3GftYCJwPUEgccdwJ+AfwN7A+tm980riFn74KPnunDgDXDKSwUFH1DcN9rZ9myU8i16rOy+PepTXqOhQoWLbTh52l6bcfA26yv4EBERqWDV2ANyM7AOcLq73xhLDAOAM4ErgFPSFWBm2wIXAAuAEe4+PUw34Abg58A5wMVx2U4FRgGvAvu4++IwTw/gWeBMM3vE3Z9PuN1dwPbAqe7+54R6GFUYBLLetjDsx9D4ULCJ4M5nQJeeRSu+WG+0c+nZKOVb9GED+vDyuXtx64vTueWFaSxpWbWqloYKiYiISEdj7p75qgphZoOAacAMYBN3XxF3rhfBUCwD1okFCCnKuRS4EPi9u/8y4Vwv4GtgLrCeu7eF6S8CuwIHuPvjCXkOAB4F/unu349LHwU8A9zv7ofn+73TMbNJw4cPHz5p0qRSFJ/awi9gxXLoXdl7LFTaLtnNrW0aKiQiIiJVacSIEbz11ltvufuIQsqpth6Q2Piep+KDDwB3X2hmLwOjgR0JHvxTib36np54IixnHkEvy9bAO5nyxKXtlZD+k/A4zszWBQ4Iy50TfofZaepY2XpVx8ixSpsfEBsqJCIiItJRVVsAsnl4nJri/EcEAchg0gcg88Ljxoknwh6QfuEfh7AqAJkHbBbm+SAh26Dw2NvM+rt7bE3VkeFxMPAPIH5SQquZXerul6epZ3y9UnVxDMkmf0cWe+hf2hL0Pvz1xellD0REREREOqpqC0B6h8evU5yPpWcaW/MYcB5wgpnd7O4z4s5dTjCMC2DNhDzfAc43s+fcfSmAmXUnmE9CXJ5YALJOePwd8D8EK3fNJejJuQW4zMw+dfdxGeorBaq0oVgiIiIiHVW1BSCZxAKHtBNb3P0VM/sLcDLwrpk9AMwHdibotWgEhhIssxtzPfD98JpGM/tXeL/9gV7AZwQrYsXnib1efxs4xldNuHnQzJYDjxAEQuMyfbFUY+3CnpHhmfJ3ZJk2JNQu5CIiIiLRqbYVmGI9HL1TnF8j4bqU3P0UYCzwPvADgpWzWoAxBHt7AHwZd/1iYDeCHpIW4ETgxwTL6e7IqraM39MjtifJQ776bP/Hw3IGm1mq79PhLG1p46G3Z3PjMx/x8DuzV+5WXohsNyQUERERkdKrth6QD8Pj4BTnNwuPqeaItOPudxDsy9GOmd0W/uebCdcvJlg968KE6zcmmKT+ccJGiB+GdV2Q5N4rzOwbgvkm3cgiaKp1pRomle2GhCIiIiJSetXWA/JceBxtZu3qHk4e3xlYSrDDeF7MbDSwEfBCDqtUnRge701Ij02E3yrJfdYlCD4Ws2pSfIeVaZhUIT0h2W5IKCIiIiKlV1UBiLtPA54CBgI/Szh9CdADuCt+DxAzG2Jmq60UZWZrJEnbBLiVYB7HuVnm2R84G5hNME8k3r0EvR/HmtnWcXk6AdeEf7zf3ZcnltvRlHKYVGxDwmS0C7mIiIhItKptCBYEO5K/AtxgZnsRLIm7A7AnwdCrCxKujy2Zawnpt5vZRsAkgrkamwIHAvXACe6erBdlipm9C0wBlgHbEaxoNRc4MGH4Fe4+z8xOAu4DXg8nu88FdieYOP4x0G4jxI6qlMOkutbXcfsxI1MO79IEdBEREZHoVF0A4u7TzGw7giVt9yVYhepz4AbgEnefn2VRjwEnEUxA70Uw4fwB4Bp3fzdFnnvDe+5EEKjMBK4Frnb3uckyuPv/mdls4HxWrZg1K8x3RWLQ0lGVephUpW1IKCIiItJRVV0AAuDus4Djsrw2secjln4ncGeO9/0lefRYuPsrBLugSwqxYVLJhmEVa5hUql3IYxsUzpqvwERERESk1KoyAJHaU65hUtqgUERERCRaCkCkYkQ9TEobFIqIiIhETwGIVJRUw6RKIZuVt6Kqi4iIiEhHUVXL8IoUkzYoFBEREYmeAhDpsLRBoYiIiEj0FIBIh6UNCkVERESipwBEOqzYyluJQYg2KBQREREpHU1Clw5NGxSKiIiIREsBiHR4Ua68JSIiItLRaQiWiIiIiIhERgGIiIiIiIhERgGIiIiIiIhERnNApGIsbWljfOMcZs3XZHARERGRWqUARCrC5FkLGHvnm8xb1LIyLbYc7rABfcpYMxEREREpJg3BkrJrbm1bLfgAmLeohbF3vklza1uZaiYiIiIixaYARMpufOOc1YKPmHmLWhjfOCfiGomIiIhIqSgAkbKb2bSkoPMiIiIiUj0UgEjZbdi3e0HnRURERKR6KACRshsztD/9ejYkPdevZwNjhvaPuEYiIiIiUioKQKTsutbXcfsxI1cLQmKrYGkpXhEREZHaoWV4pSIMG9CHieeMYnzjHGY2aR8QERERkVqlAEQqRtf6Og7eZv1yV0NERERESkhDsEREREREJDIKQEREREREJDIKQEREREREJDKaAyJlt7SljfGNc5g1X5PPRURERGqdAhApq8mzFjD2zjeZt6hlZVps+d1hA/qUsWYiIiIiUgoagiU5W9rSxkNvz+bGZz7i4Xdm09zallc5za1tqwUfAPMWtTD2zjfzLldEREREKpd6QCQnxeyxGN84Z7XgI2beohbGN87RsrwiIiIiNUY9IJK1YvdYzGxaUtB5EREREak+CkAka9n0WORiw77dCzovIiIiItVHAYhkrdg9FmOG9qdfz4ak5/r1bGDM0P45lSciIiIilU8BiGSt2D0WXevruP2YkasFIbE5JVqKV0RERKT2aBK6ZC3WY5FsGFa+PRbDBvRh4jmjGN84h5lN2gdEREREpNYpAJGsxXosUq2ClW/Q0LW+TqtdiYiIiHQQCkAkJ+qxEBEREZFCKACRnKnHQkRERETypUnoIiIiIiISGfWASNksbWljfOMcZs3XUC4RERGRjkIBiJTF5FkLUk5mHzagTxlrJiIiIiKlpCFYErnm1rbVgg8IdlMfe+ebNLe2lalmIiIiIlJqCkAkcuMb5yTdSwSCIGR845yIayQiIiIiUVEAIpGb2bSkoPMiIiIiUr0UgEjkNuzbvaDzIiIiIlK9FIBI5MYM7U+/ng1Jz/Xr2cCYof0jrpGIiIiIREUBiESua30dtx8zcrUgJLYKlpbiFREREaldWoZXymLYgD5MPGcU4xvnMLNJ+4CIiIiIdBQKQKRsutbXcfA265e7GiIiIiISIQ3BEhERERGRyCgAERERERGRyCgAERERERGRyCgAERERERGRyCgAERERERGRyCgAERERERGRyCgAERERERGRyCgAERERERGRyCgAERERERGRyCgAERERERGRyCgAERERERGRyCgAERERERGRyCgAERERERGRyCgAERERERGRyCgAERERERGRyCgAERERERGRyCgAERERERGRyHQudwWk41na0sb4xjnMmr+EDft2Z8zQ/nStryt3tUREREQkAgpAJFKTZy1g7J1vMm9Ry8q0fj0buP2YkQwb0KeMNRMRERGRKGgIlkSmubVtteADYN6iFsbe+SbNrW1lqpmIiIiIREUBiERmfOOc1YKPmHmLWhjfOCfiGomIiIhI1BSASGRmNi0p6LyIiIiIVD8FIBKZDft2L+i8iIiIiFQ/BSASmTFD+9OvZ0PSc/16NjBmaP+IayQiIiIiUVMAIpHpWl/H7ceMXC0Iia2CpaV4RURERGqfluGVSA0b0IeJ54xifOMcZjZpHxARERGRjqYqe0DMbAMzu8PMPjOzZWY2w8z+aGZr5ljO98zsWTNbYGbNZvaBmf3GzLqmuL7ezM42s3fMbImZLTSzV8zsyCzvZ2b2tJl5+OmQAWDX+joO3mZ9TttrMw7eZn0FHyIiIiIdSNUFIGa2CTAJOA54A/gDMB04A3jVzPpmWc5lwD+BkcBDwE3AN8AlwAQz65ZwfQPwJPB7oDcwDrgbWA+428yuy+K2Pwf2BJqzqaOIiIiISK2pxjfwNwPrAKe7+42xxDAAOBO4AjglXQFmti1wAbAAGOHu08N0A24gCBTOAS6Oy3YqMAp4FdjH3ReHeXoAzwJnmtkj7v58intuDlxNEMD8CNgoly8tIiIiIlILqqoHxMwGAaOBGQQ9FvEuAhYDR4VBQTrfAwy4LRZ8ALi7A+cDDvzUzOLHBh0aHq+IBR9hnsXAZeEfT0tR784EvSWfhPUUEREREemQqioAIeiBAHjK3VfEn3D3hcDLQHdgxwzlxNZ7nZ54IixnHkEvy9bZ5IlL2yvF/X4NbAsc4+7LMtRNRERERKRmVVsAsnl4nJri/EfhcXCGcuaFx40TT5hZL6Bf+Mch2eQBBoXH3mbWbjMLMxtJMNzrKnf/d4Z6iYiIiIjUtGoLQHqHx69TnI+l98lQzmPh8QQzG5hw7nKC4VkA8atqxfKcHz9B3cy6EwQYJOYJr7sbeB+4NEOd0jKzSck+tA+SREREREQqWjVOQk8nFjh4uovc/RUz+wtwMvCumT0AzAd2JlgVqxEYCrTFZbse+H54TaOZ/Su83/5AL+AzghWx4vNcQ9A7sr27txb21UREREREql+1BSCxHo7eKc6vkXBdSu5+ipm9AZwE/CBMngSMAcYSBCBfxl2/2Mx2A84FDgdOJJj0/gxwHvBSeOlcADPbHfgZcLG7v5PNl8tQ3xHJ0sNekOGFli8iIiIiEoVqG4L1YXhMNcdjs/CYao5IO+5+h7vv6O49ws9u7j4B+E54yZsJ1y929wvdfYi7d3H3tdz9cIJej/7Ax+7+VXj5tgQ9JJfEbTzoZuasWoK3NUzbJpv6ioiIiIhUu2rrAXkuPI42s07xK2GFk8d3BpYCr+V7AzMbTRAgvODus7PMdmJ4vDcu7T/A7Smu/yHQE7iDYLhYUx5VFRERERGpOlUVgLj7NDN7imAvkJ8BN8advgToAfwlfp8OMxsS5p0SX5aZreHu3ySkbQLcStCjcW7i/VPk2R84G5hNME8kVtcJwIRk38PM9iYIQE529+UZvraIiIiISM2oqgAkdCrwCnCDme0FfADsAOxJMPTqgoTrPwiPlpB+u5ltRDDv4ytgU+BAoB44wd2T9aJMMbN3gSnAMmA7gr1J5gIHxg2/EhERERGRJKouAAl7QbYjWNZ2X4JVqD4HbgAucff5WRb1GKsmoPcimHD+AHCNu7+bIs+94T13IghUZgLXAle7+9z8vpGIiIiISMdh7mlXrJUKZ2ZN3bp1W2uLLbYod1VEREREpIZ98MEHLF26dL679y2kHAUgVc7MPiFYfnhGmatSTWKbN05Je5UUm9o9emrz8lC7l4faPXpq8/IoZ7sPBL5x940LKUQBiHQ44d4pKfdWkdJQu0dPbV4eavfyULtHT21eHrXQ7tW2D4iIiIiIiFQxBSAiIiIiIhIZBSAiIiIiIhIZBSAiIiIiIhIZBSAiIiIiIhIZrYIlIiIiIiKRUQ+IiIiIiIhERgGIiIiIiIhERgGIiIiIiIhERgGIiIiIiIhERgGIiIiIiIhERgGIiIiIiIhERgGIiIiIiIhERgGIVCwzO8zMbjSzl8zsGzNzM7snzfVdzOxnZvaGmc0zs0Vm9oGZ3WBmG6XJ19PMLjSzyWGehWbWaGa3mll9wrXHm9lDZvZxWKfF4T3+amabF/P7l0sltnuSvIPDtk9bt2pRiW1uZuPCeqT6DClmG5RDJbZ7XJ6BZvZnM5tuZs1m1mRmr5vZ2cX47uVSaW0etnO6v+exz67FbosoVVq7x12/tZnda8H/U5ea2Wwze87MfmhmVf+MWsHtvruZPRb+XllmZtPM7Foz61Os756JNiKUimVm7wDDgEXAp8AQ4F53PzLJtZ2B54GdgSnABGAZMBLYDfga2Mnd30/INxB4GtgUeAl4HTBgIDAK2NDdF8Vd/yzwLeAtYA6wAhgKjAbagEPc/YnCv335VGK7J7nny8CWQM9UdasmldjmZjYOOAa4HliQpNp/cvd5eX3hClGJ7R7mGQP8E+gMPAZMJfi7vjnQ3d13KfCrl02ltXn4wPX/UlR3AHA80ASs7+7L8vrSFaDS2j28/kCCv+crgEeAaUA/4HvAWsBt7n5i4d++fCq03U8E/gIsJ2j/WcDw8NqpwM6R/G53d330qcgPsCewWfgPaQ/AgXtSXHt4eH4C0Cnh3CXhuTsS0uuBt4EW4KAkZdYRBulxaV1T3H+f8B7vl7vdarHdE87/huCX8unp6lZNn0psc2BcWNbAcreFlCJ+AAAOiElEQVRPB2v3QcBCYCYwOEme+nK3W621eZq6Xhne47pyt1sttjvQGJa1e0J6f+CL8NyG5W67Wmr3sG2XAq3A9gnX/jK8x7go2qbqu7ekdrn7c+7+kYf/MjIYFB4fd/cVCeceDo9rJ6QfBWwDXO/ujyS5f1vivd29OUVdnyZ4S7xpFnWtaJXY7jFmth1wIXAZ8G4W9asKldzmtaxC2/1igt6On7r71CR5WrOoa8Wq0DZfTfg2+tjwj7dmUdeKVqHtPgj4xt1fSLh2DsFb/GT3qSoV2O77A12Bh9z9jYTLrwXmAj8xs7WyqG9BOpf6BiIRaQyP+5nZ9Qn/eA8IjxMS8vwkPI4LuzD3A/oQvHl80t2bsr25me0S5n0rx3pXu8ja3cy6AXcB7wBXAVU7DKVAUf9d38/M1iAYYvgx8Ky7f1NA/atVyds9HKt9GPAl8C8z255gOEZn4APgKXdvKc7XqQrl/L1+MMHb4hfdfUquFa9yUbV7IzDCzHZx94mxRDNbB9ge+Ax4P0m+WhVFu/cPj9MTb+7uK8xsBquGfD2Ux3fImgIQqRWPE4xlPBR4z8wmEHRJjiB4UL0R+FNCnpFAM8E/2Ctp/+9hsZmd7u53JLuZmR0GbAV0AwYTvFWYD/y8WF+oSkTZ7lcRvCEa7u7LzayoX6SKRPp3Hbg54c8Lzew8d7+psK9RdaJo99jvlFeB+4AfJJQ308wOc/c3i/OVKl7Uf9fjnRQe/5J/9atWVO1+JsEcpwlm9jDBQ3E/4BCCEQU/cfelxfxiFS6Kdo/N7dg48ebhpP+B4R9Lv8hIKcZ16aNPsT9kGDsZXmPARQQTqzzuMwHYMeHaLuG52LXXABsSTHw7jmAM9gpgVIp73Zdwj6nAduVup1ptd2CvMP1XudStGj8V1ObHEzwAb0jQZT8IOBv4JiznpHK3Va21OzAmLs/C8GewVpjv6vDcXKBfudurVto8xT0HEvT4zQO6lLudarndCRYT+U/CPb4BzifFnMtq/VRCuwMbEcz/aCHhmQU4K+5+V5e8Pcr9A9FHn2w+mf7hEjwg/SP8B3cyQTfjGgRvBT4K/7EdHHd997h/aPcnKe+08Nz4DPVaA9gJGE8wMfrYcrdVrbU7q7qTXwXqsq1btX4qoc0z1O8AVj0I1+X6/Sr1UwntTtCTGsvz8yR5HgjPnVfu9qqVNk9x3yvC664tdxvVcrsTLN7SRPD/z+FhOYOA68LrXwY6l7u9arDdzwvTlwH/C/yOYBUtByaHx9+WvD3K/QPRR59sPln8w704PH96knPDwnMzEtKXhelHJMmzQXjuqyzr10AwKXopsEG526uW2h24A1gCbJ5L3ar1UwltnkUdPw3zbF3u9qqldge+E/dAsX6SPEeG5x4sd3vVSpsnuaYzwdwDT/ydUyufSmh3grf088PfJd2T5HkwzHNsudurlto97tzBwHMES/suBf4N/IhVK7/9v1K3h1bBkloRm6D1XOIJd59M8ItuIzPrG3fqw/CYbI+Dr8Jjt2xu7sHE0GcI3mDsmE2eGhFFuw8P/zzF4jYGi7vnEWHaO/l+iSpT1r/robnhsUcOeapdFO3+Ydx/F+tnVc3K8Xf9QIK9nl5w9w/TXFfLomj3nYA1gdfdfUmSPLF7j8i20jUgsr/v7v6wu+/p7r3dvZu7b+fu9xH8XABKPs9MAYjUii7hcbUl+8ysC0E3JgRdmDHPhMetkpQXS5uRQx3WD4/Lc8hT7aJo938Ctyf5/Cs8Py388z9zq3rVKuvfdTPrTTBB0bPNUyNK3u7uPp9glbes89S4cvxdj00+r/qldwsQRbunvEdCekda9a3cv9uHEEx2/4RgyHNplbtLSh99svmQuevyZlZN1OqScC7WpfhGQvoQgslYc4gbNkXQizEhzHNxXHpfUgw5IXhz0UowdnPNcrdXLbV7vnWr1k8ltDnB2ONNk9y7J6uGRjxV7raqtXYPz50Qd5+ucekbhOU4sEe526uW2jzumo2o4cnnldTuwHrh9W3A6ISyBhAsRe3A/uVur1pq9/DcGknuvQ7BNgIOHB5Fe1h4Y5GKY2aHECzHB8ED0RiCZfpeCtPmufsvwmvXB14j+J/0DOBJgnGNOxOsJ74U2Mvd20X1ZnYWweY78wnWvF4c3mcwwUZIe3q4DKCZbUOw4+hbBOt1zyaYIL0NwbCrVuAod/97EZshcpXW7mnquQdBV/W97n5k3l+4AlRam8e17asE+098SdDDt09Yv+nh9TOL1wrRq7R2D6/vRDDZ/BCC1fXGEwx1O4Rg3PwN7n5GsdogapXY5nH5LgN+TbDz+dnF+caVoRLb3cx+Q7DD9wqC5XinhHU7lPBlh7sfWqw2KIcKbfffA/sS/H6fG97vIKA38Bt3v6xoDZBOuSNCffRJ9WHVhKxUnxkJ168N/J7ggamZoJvyv8DfgCFp7vNd4FmCyVjNBBsfXQh0S7huTYLVUV4CPg/LXxze7xZgi3K3WS22e5r8e1AjPSCV1uYEbyD/QhBszyUIrr8G3gAuAHqVu81qsd3jru8MnEEwHGsJsIhgRaAjy91mNdzmdQQvlZwanHxewe1+MPBE+HtmOcESvK8AP6UGVtmrxHaPu/bLsPwvCIYw7xpl26gHREREREREIqNJ6CIiIiIiEhkFICIiIiIiEhkFICIiIiIiEhkFICIiIiIiEhkFICIiIiIiEhkFICIiIiIiEhkFICIiIiIiEhkFICIiIiIiEhkFICIiIiIiEhkFICIiIiIiEhkFICIiIiIiEhkFICIiIiIiEhkFICIiIiIiEhkFICIiUhXM7C4z+9LMeuSQZ4aZzShhtfJmZiPMzM1sbLnrIiISJQUgIiISGTM7K3zo/kmO+bYDjgSucvfFpaldtNx9EvAQcLmZ9Sx3fUREoqIAREREojQ8PE7KMd9vgW+APxe3OmV3JdAfOL3cFRERiYoCEBERidIIYBHwUbYZzGwwsDfwD3dfWqqKlYO7vwFMAU42s7py10dEJAoKQEREpOTM7Gozc2AI0BNoC4diuZkdmSH78YABf09RtpnZz82s0cyazWy2mf3JzHqnuP5YM3vAzKab2VIz+8bMXk6sh5kNCev3bJrv9Z6ZtZpZ/7i0g8zsGTP73MyWmdlnZvaCmZ2aopj7gA0JgiwRkZrXudwVEBGRDmEScCdwDPAK8HTcuRcy5N0baANeS3H+jwRDmD4HbgVagYOBHYAGoCXh+j8D7wMvhnn6AvsDd5vZ5u5+IYC7TzGz54A9zWywu0+NL8TMdgK2Ah5w9zlh2knAX4A5wKPAPGAd4NvAccDNSer/cnjcBxifoS1ERKqeuXu56yAiIh1A3MP5ye5+a5Z5egBfAx+4+9ZJzu9E8AA/Ddje3eeH6V2B54Adgf+6+8C4PJu4+7SEchqAJ4DdgIHuPjtMPwz4P+Bad/9FQp5xBAHVaHd/OkybRBCUDHD3LxOu7+fu85J8h97AAuBNd98+m3YREalmGoIlIiJRiU1AfyuHPOsDdQQ9FckcFx6viAUfAO7eDJyXLENi8BGmtQA3EYwM2Cvu1EPAZ8CxZtYllmhmfYAfEAQ+ExKKW07QC5N4j9WCjzD9a6CZYBiWiEjNUwAiIiJRGU7wYP5eDnn6hsev0pQJyYdxvUQQDLRjZhua2U1mNsXMlsTmogAPhJesH7vW3ZcDt4X1+H5cMUcB3YBbvf1QgnuB7kCjmf3BzA4xs7XTf0UA5gP9srhORKTqKQAREZGSM7POwNbA++6+LIessVWvuqY4H5to/kXiCXdvA5oS6jGIoAfmFIJ5GrcBlwOXEMxRAehCe7cSBDInx6WdRDC35G8J97yOYFjWTIJ5KQ8CX5jZc+FeJql0Y9V3FRGpaZqELiIiUdiSIIjIZfgVQGweRd8U578Oj+sC0+NPhMva9gVmxyWfFaYd5+7jEq7/MUHw0I67zzazR4HvmdkWwJoE8zz+7u5zk1x/F3BXOExrJ+B7BCt5jTezLZLMDekE9AE+SfEdRURqinpAREQkCtuEx7dzzPc5MBfYPMX5WECze5Jzu7L6i7ZNw+MDrC5ZGTGx1atOCj8QTKhPyd0XuPu/3P1EYBywVlinRJsTLDP8TrryRERqhQIQERGJQqwH45tcMoXzK14E+pnZpkkuGRceLzCztWKJ4SpYVya5fkZ43CM+0czGACekqcozwFSCHpIfAFPd/bnEi8xs33C4WaJ1wuOSJOd2DI+rlSciUos0BEtERKIwKTxeYWZbAYuBRnf/vyzyPkAwAXwM8HH8CXd/2cxuBE4D/mNm97NqH5CvWH31rJsJVs76PzN7gGB41lbAvsA/gB8mq4C7u5ndAlwXJqXq/bgPaDaziQTBjhH0eowkaIPEFbMARhPsc/JwijJFRGqK9gEREZFImNnPCQKFjQgmev/W3S/IIl8DwaTu/7r7DknOG/Cz8DOIYOL5g8D5wGSAhH1AdiKYeL4twYu4ycDvCfbieA64xN0vTnKfNQk2FmwF1nf3piTXnEIQKA0D+hMsr/tf4H+BP7v7woTrexNMhh/v7odkagsRkVqgAERERCqemZ0H/BYY7u65ziMpVh32IAhQ7nH3o4pU5mnADcBu7v5SMcoUEal0CkBERKTihXM6PgTedfcDy1SHfwH7ATu6++tFKK8bwUaGr7j7YYWWJyJSLTQHREREKp67N5vZUcCeZtbD3RdHcV8z2xo4ABhBEHw8VozgIzSQYI+RcUUqT0SkKqgHREREJAUzO5Zgs8FvgPHAqe4+r6yVEhGpcgpAREREREQkMtoHREREREREIqMAREREREREIqMAREREREREIqMAREREREREIqMAREREREREIqMAREREREREIqMAREREREREIqMAREREREREIqMAREREREREIqMAREREREREIqMAREREREREIqMAREREREREIqMAREREREREIqMAREREREREIqMAREREREREIvP/ATRZjJD2h3x9AAAAAElFTkSuQmCC\n", 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" ] }, "metadata": { "image/png": { "height": 265, "width": 400 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.plot(times, raw_fluxes, '.')\n", "plt.plot(times, bspl(times))\n", "plt.xlabel('$t$ (days)')\n", "plt.ylabel('Raw Flux');" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The Spline fit looks good, so we can normalize the flux by the long-term trend. \n", "Plot the normalized flux versus arclength to see the position-dependent flux." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [], "source": [ "fluxes = raw_fluxes/bspl(times)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Mask the data by keeping only the good samples." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [], "source": [ "bi = df[' Thrusters On'].values == 1.0\n", "gi = df[' Thrusters On'].values == 0.0\n", "clean_fluxes = fluxes[gi]\n", "al = arclength(rot_rowp[gi]) * platescale" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [], "source": [ "sorted_inds = np.argsort(al)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will follow the paper by interpolating **flux versus arclength position** in 15 bins of means, which is a *piecewise linear fit*." ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [], "source": [ "knots = np.array([np.min(al)]+ \n", " [np.median(splt) for splt in np.array_split(al[sorted_inds], 15)]+\n", " [np.max(al)])" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "bin_means = np.array([clean_fluxes[sorted_inds][0]]+\n", " [np.mean(splt) for splt in np.array_split(clean_fluxes[sorted_inds], 15)]+\n", " [clean_fluxes[sorted_inds][-1]])" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [], "source": [ "zz = np.polyfit(al, clean_fluxes,6)\n", "sff = np.poly1d(zz)\n", "al_dense = np.linspace(0, 4, 1000)\n", "interp_func = interpolate.interp1d(knots, bin_means)" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 386, "width": 345 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(5, 6))\n", "plt.plot(arclength(rot_rowp)*4.0, fluxes, 'ko', ms=4)\n", "plt.plot(arclength(rot_rowp)*4.0, fluxes, 'o', color='#3498db', ms=3)\n", "plt.plot(arclength(rot_rowp[bi])*4.0, fluxes[bi], 'o', color='r', ms=3)\n", "plt.plot(np.sort(al), interp_func(np.sort(al)), '-', color='#e67e22')\n", "\n", "plt.xticks([0, 1,2, 3, 4])\n", "plt.minorticks_on()\n", "plt.xlabel('Arclength [arcseconds]')\n", "plt.ylabel('Relative Brightness')\n", "plt.title('EPIC 60021426, Kp =10.3')\n", "plt.xlim(0,4)\n", "plt.ylim(0.997, 1.002);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Following **Figure 4** of Vanderburg & Johnson 2014." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Apply the Self Flat Field (SFF) correction:" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "corr_fluxes = clean_fluxes / interp_func(al)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "image/png": { "height": 374, "width": 634 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,6))\n", "\n", "dy = 0.004\n", "plt.plot(df['BJD - 2454833'], df[' Raw Flux']+dy, 'ko', ms=4)\n", "plt.plot(df['BJD - 2454833'], df[' Raw Flux']+dy, 'o', color='#3498db', ms=3)\n", "plt.plot(df['BJD - 2454833'][bi], df[' Raw Flux'][bi]+dy, 'o', color='r', ms=3)\n", "plt.plot(df['BJD - 2454833'][gi], corr_fluxes*bspl(times[gi]), 'o', color='k', ms = 4)\n", "plt.plot(df['BJD - 2454833'][gi], corr_fluxes*bspl(times[gi]), 'o', color='#e67e22', ms = 3)\n", "\n", "plt.xlabel('BJD - 2454833')\n", "plt.ylabel('Relative Brightness')\n", "\n", "plt.xlim(1862, 1870)\n", "plt.ylim(0.994, 1.008);" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Following **Figure 5** of Vanderburg & Johnson 2015." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*The end.*" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.6.7" } }, "nbformat": 4, "nbformat_minor": 2 }