{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# What are LightCurve objects?" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`LightCurve` objects are data objects which encapsulate the brightness of a star over time. They provide a series of common operations, for example folding, binning, plotting, etc. There are a range of subclasses of `LightCurve` objects specific to telescopes, including `KeplerLightCurve` for Kepler and K2 data and `TessLightCurve` for TESS data.\n", "\n", "Although *lightkurve* was designed with Kepler, K2 and TESS in mind, these objects can be used for a range of astronomy data.\n", "\n", "You can create a `LightCurve` object from a `TargetPixelFile` object using Simple Aperture Photometry (see our tutorial for more information on Target Pixel Files [here](http://lightkurve.keplerscience.org/tutorials/1.02-target-pixel-files.html). Aperture Photometry is the simple act of summing up the values of all the pixels in a pre-defined aperture, as a function of time. By carefully choosing the shape of the aperture mask, you can avoid nearby contaminants or improve the strength of the specific signal you are trying to measure relative to the background.\n", "\n", "To demonstrate, lets create a `KeplerLightCurve` from a `KeplerTargetPixelFile`." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from lightkurve import search_targetpixelfile\n", "# First we open a Target Pixel File from MAST, this one is already cached from our previous tutorial!\n", "tpf = search_targetpixelfile(6922244, quarter=4).download()\n", "\n", "# Then we convert the target pixel file into a light curve using the pipeline-defined aperture mask.\n", "lc = tpf.to_lightcurve(aperture_mask=tpf.pipeline_mask)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We've built a new `KeplerLightCurve` object called `lc`. Note in this case we've passed an **aperture_mask** to the `to_lightcurve` method. The default is to use the *Kepler* pipeline aperture. (You can pass your own aperture, which is a boolean `numpy` array.) By summing all the pixels in the aperture we have created a Simple Aperture Photometry (SAP) lightcurve.\n", "\n", "`KeplerLightCurve` has many useful functions that you can use. As with Target Pixel Files you can access the meta data very simply:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'Kepler'" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lc.mission" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lc.quarter" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And you still have access to time and flux attributes. In a light curve, there is only one flux point for every time stamp:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(array([352.37632485, 352.39675805, 352.43762445, ..., 442.16263546,\n", " 442.18306983, 442.2035041 ]),\n", " array([43689.15 , 43698.08 , 43694.105, ..., 43155.8 , 43148.465,\n", " 43151.562], dtype=float32))" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lc.time, lc.flux" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can also check the \"CDPP\" noise metric of the lightcurve using the built in method:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "406.81792796620886" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "lc.estimate_cdpp()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we can use the built in `plot` function on the `KeplerLightCurve` object to plot the time series. You can pass `plot` any keywords you would normally pass to `matplotlib.pyplot.plot`." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%matplotlib inline\n", "lc.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are a set of useful functions in `LightCurve` objects which you can use to work with the data. These include:\n", "* `flatten()`: Remove long term trends using a [Savitzky–Golay filter](https://en.wikipedia.org/wiki/Savitzky%E2%80%93Golay_filter)\n", "* `remove_outliers()`: Remove outliers using simple sigma clipping\n", "* `remove_nans()`: Remove infinite or NaN values (these can occur during thruster firings)\n", "* `fold()`: Fold the data at a particular period\n", "* `bin()`: Reduce the time resolution of the array, taking the average value in each bin.\n", "\n", "We can use these simply on a light curve object" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "flat_lc = lc.flatten(window_length=401)\n", "flat_lc.plot();" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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Venq61SkohY0Qbm5uFrdlKToGgwFXr15FXFwcHxRrrnxqtZqXgVUcmAsXLlg9zxjhtb5t27YAgKlTp/LH2PG9bt06AIX3o6SkJEX7tiYsLEw2MLYH+63s6b1ITU012wovt68///zTrilFu3fvjkOHDmH37t1YsWKFyfNdunTB33//zf925RZ6pX766Sds375d9jp5/vz5IvemGI1G0XcmJDd5iCv0YlpDAX0pJndBkabcCA9SdjMyN7Uhy3M/e/Ysf+ybb74RbRMaGsr/Lb1ZsIDeaDTy3GDhzfj+/fs4cuQINm7cKHqdsIw6nc7kBm4wGJCSkoKff/4ZwL+fW+4EXLRokUn35oMHD2Rbf3U6neiGOmrUKMyfP99kO+nnAKC4i/D777+Hm5sbf721vD2WGnXp0iUAyoNm1tIrDEATExPRunVr3Lt3z+7BhQDwzjvviL5T9l0ajUZs3LgR0dHRVvexefNm/m92kV28eDE6dOjAAyJrF9Q///wTXbt2NfucXIu4Xq/nj3fp0sViICrtKt6+fTuuXLlisVw7d+40m/bz3nvvmX0dc/LkSRgMBrOt4XIuX75ssfKZkpKCixcv8nKznGrhSp+PHz/G6NGjTfYrpNPpMHToULRs2RJZWVkA/k33sNajlZKSgiVLluDXX3/FokWLLG67efNmi8e58Nzr1q2b7DaWAvJ9+/bh3r17mDlzJi93r169RNsovZkPGjTIZPudO3fyfw8dOhQbNmyQ3Sc7h7Zt28YfYxU6AIiMjDQpE0vRyc7Oxi+//IKVK1daDEzZ7yOcBtNoNCI9PR06nQ4TJkwwu/Dc5cuX0a9fP/63MGhkZT958iSvLOj1esTHxyMmJgbZ2dkOTfe5d+8eDh8+7JB9sfNfr9ebHCM3btyw+Nr3339fFFimpKSgQ4cOAOTvv7b0kOr1en4vfPLkCQoKCvD777/j+PHjstsLzzlXz6FXcj6xOETuuh0dHY0tW7bwv4UNUykpKaLrUUhICIxGIwoKCmA0GnlveFpaGnr37s1fl5qayn+biRMnmrzn4MGDlX24YuTavzopEkut8Ow54cWFnTjSiw4LToUt+NYYjUZ88sknosfY6x49esRvmK+++qpom/Lly+PSpUuimrOwLCqVCqdOncKdO3f4Y6mpqXjzzTcxadIkvs2WLVtEr+vUqRMAYM2aNfzkz87Oxo4dOwBAFHTpdDrk5+ejoKAAhw8fFg1MZBfYiRMnIiQkBDqdDjk5OWjRooXJdxAVFWX5S0Jh3rBWq+UXYzayfurUqThw4ACOHDki26I3duxY/t2kp6fj559/tnjBYQF9RkYG/15Yy2pkZCRfWVIuELt37x727Nlj8XOw1/3yyy+8G95oNOK3337jN8WNGzfihx9+AADExMSIKj0xMTEACo9BdpFl5Txx4oTobwA4cuQIr9SwIE6updZgMCAnJwfh4eGiFnZWgTEajaLPnJeXhy+//JI/p2TuYeENJy0tDadPn+Z/b9myhfc4GY1Gi2k2cjnkc+bMwcsvv8xbAaWDZOVujF5eXrI5uaxSMG/ePERGRuLTTz81W5Z27dohISHB7PNAYaWSteayYFOv1+PRo0fQ6/WigaB5eXmiXO6UlBQAhb0ewoBXzty5c6HX66HT6fDf//7X5Hl2HHft2hV3794Vjf8ZOHAggH8DWSEWiE2bNg1r1qzBDz/8IOptEJ53BoMBZ8+eFX3f0dHRuHnzpsk+hdfdzp0784aMESNGoKCgAD///DPy8vLQvHlzpKen8wDt3XffNflswl5NljK0a9cufPvtt7h27Rp/rl27dsjJyYFWq+WDYuUI00rY+WIwGNCzZ0/s2bMHjx49QqVKlfj2Q4YMQWJiIvR6PR4+fIibN2/i+PHjGDduHMaPH2/yPQkrcxMnTsRHH30EoDDg0uv1ePLkCXr06CFbNqVYL5xGo8Hw4cPx66+/mt02NTXVauDPvi+5Y6R///5WXyvUr18/3rorrRyMHj0aubm5VgN6NgNTdna2qAFJpVJZTOeS3ielYyueJnZvNEdJpYat8SHdlk3nKqxItW7dmv97+PDh2Lp1K7Zu3crPqRMnTqBXr1548OAB+vbtC8D02tmzZ0+LvSf2TiP7NFFAX4rJtUgJW+EB04D+n3/+wcKFC2VPOPaYdL9vvvmm7L6Af7uEhc+zE33Dhg2i1yxbtgze3t4AIGopZTf/3377Denp6cjLyxO1+gqDe6DwRJ0zZ47ohJW2cP79999ITU3lwdusWbN44Lh69Wq8//77yMzMxPXr12Xz8FnONfvO5LDPEBcXx29sclJSUqDX60Vdqfv378ehQ4cwceJEk6AB+Pc7fPz4Md5++21MmjQJiYmJAApv/MnJyfjwww95WgPraVizZo1JpU6r1fJAhvWwbNy4kVdyUlJScO3aNeTl5eHEiRO4desWT79gF0dWHmFQ8vXXXyMzMxPly5cHABw/fhxnzpwB8G9gKp2lR9glz26uLGAQtsisWLGCB4KsnKwMaWlpvJdAp9Pxi/0XX3zBX9+mTRsAha2hwhuPTqfDjh078M8//6B58+Z4/fXXISW9UQmPYRbsCLdZsmQJCgoKsG7dOpNK3q1bt/jn+P77761WAnv16oX+/ftDp9Nh7969fBD3wYMHsXfvXty8eRNeXl4mPU73799Hp06d8OTJE/69SnvQANObXGJiosmgWXY8ClNXWKuXwWDAH3/8Ab1ej+XLl+Phw4fQ6XRISEjAhg0b+Pcybdo0AIVBpbAXbPv27SY9AwCwfv16PH78WDZ4Y4EpC/TYd5idnc3z3gsKCkxS/sLDw/nxt2nTJgDilj5WWdm9ezcPClna4bfffov169fjzp07sjMRscrbgwcP+Hd34cIFqFQqXLlyhbcgTpkyBdOmTUNubq7ZXkJpIJGQkIDly5ebVOBXrlyJjIwMXL9+3SSg7969O3Q6HXQ6HR83wYIXds6zSu7nn38OnU6HhQsX4sqVKxg8eDDu3LnDv5vp06fj1KlT/Ly7cOECf5/MzEw+QFhYsTUYDPx7kF6v2ff1zz//mO0pFFYO2bVKrVbjjz/+wO3bt82mDi5evNjq9J+s58CeHHrhebFkyRJRhV26r4SEBOTk5OCPP/6wOGaHpX1JK/8zZszA9evXzQb0er1e9N04K0VUKXZe/v777yYDytlnO3PmjKhH/q+//uL/Zr3J0likc+fOyMzMFI13A/69LrOJClJTU/n+0tPTce/ePas9hyV9kUAK6EsxuVYa6QErHASm1+v5ID65gJ5dSKQBPQu4hcEIu7CwLmGg8Ga5ePFifpOVmz7N09MTgDgA/+CDDwAAI0eO5K+1dEFkga05RqMRvXv3NtmOdf1v2rRJNI2npVq70Wg0u1gXCyAWLFiA+Ph40XPZ2dk8B5S1jktzAo8ePSraDxMZGclvYP369TPJeY2MjESfPn1w+PBh2VZf9puz40OY8gMUBmfz589Ht27dcPPmTaSlpSEzMxMLFizA+++/j7///huXL1/GpUuXeCAn1zq+b98+nDt3Dl5eXrh06ZJo4Nb9+/cBFLY2Cl/LgpRbt26ZBPS7du1CZGQkbt26Ba1Wix07dohubmy7rl278l4C4UBGuVbrI0eOmAT0AEQttaxlFCispAkDFaAwwGXl8PDwgNFoNOmybdGiBRYuXIjbt2/zXgqgMBeUVSqBwnx2a93RN27c4DPosLIdPnwYa9euRb9+/eDp6YnffvtNFOSwgKht27YWg5a8vDx+3AGFv8f27dtFqXSsN0Uuh5Wdt+x77NKlCw4ePIjMzEwsX74cX3/9teh8KSgoQJkyZXhFbtasWaKeAZbSt3jxYh7YPnz40GzanhCrtAGFx4a7u7vJNsIBowAwefJk/m+1Wo2tW7eKBtGyyj071sqXL29y/rHn2PcvV745c+YAKGykePLkCVq1asWvo0LXr19H586d+d/jxo1TlIMt7Vn6559/MG7cOFGlQfj7ubu7i3o2cnNzRdfn7777jn83rDLCSFPH5AaCT506VXTvuXv3LvR6PQ/g165di+7du6NNmzYmYzIA8Tz+LPWTnSexsbF45513+PPsuwVM74GHDh0yuXcYjUZoNBrk5eUpCuifPHnC74/C30w6JkSuQY2VOS4uzur7sHOINTQBhb+rudZtg8HAG9eKM+WGHR/suE9KSuJpZqxCzo6FX375hVemAWDAgAH839KUm6SkJH7vkvsOQkND8euvv+LBgwe8csN+f3b+C49B9lsIJ6SQxkclbSFO26cdISWGpRx6Ji8vD+XKlQMgnnedHews9eXAgQNmW+iBwiBaeOHZv3+/yTYsBYflicsNYGTBq7Cmbo30JGSpN6yFnKV2sCks2UVBOpMPSw3JyMhAxYoV+eOWZiMSvve9e/ewcOFCnsqg1WpNBvgChUHK7du3Tb6jQ4cOAfj3Qsj2LQ3ohQGmlFx+ZXp6Ovr06WP2NWXKlMHatWt567pwvYB+/fqhSZMmovdkQYFwIG9CQgI+++wz2f0bjUa+bUFBAT7++GMelCxYsAALFiwweU3fvn35xVh4nFy8eJH3CgDivG+5yoswGGMBlvR4EfYqyM3MI8xdfvfdd3lAy1y5cgWbNm3C8uXLeSAlF5wxwuNu0aJFMBgMorETcgGNlLBS8M0334jyntl5P2HCBJQpUwYxMTGi7S21Qk2fPt2k12TBggX8nE9PT8fJkyfNvp6dY+zGrdPpMHPmTP742rVrRS3yOp0OWq1W1PsCFH7nsbGxvEcH+Pdmz3KUGbmAWdrSazQa8e2331r9boW9bSdOnDAZeLls2TIA4D2JJ06cMJkY4M8//4TRaOQt2MJJBNgxzcb7CClJQ1A6a5fc9Vd6TAqn2nz06JFobJS0LHK9OebIzRR0/vx5NGvWjP/95MkTjBkzBikpKfj8889FKZbs+DQYDMjOzub3J4al+rB7VH5+vui8ZalIX331lcn5zK7lwtl59Ho9/13YcZ6ZmcnTFFNTU1GxYkXe2NS9e3ee8mjOnTt3ZO+/rMzsHBg3bpzZ6WhZQP/+++/zxyyl3KSmppodr6PT6aBWq59KoP/aa68B+Pc6xr7TgoICnjKn1+sxfvx41K9f3+zAVGnKTUREBCIiIgCIj0/h9yHcv1xAz2YTunjxIr/HCyu50uP+xx9/LLbVlu3hsgF9dnY2Nm3ahBs3buDGjRvIzMxEREQEz4m0JicnB+vWrcOJEyeQlZWFgIAA9O3bV9Rq4+xtixs7mO/cuYPq1asDKDyxx4wZw/OU8/Ly0L17dwDiAYLs/2y7tWvX8qCQ3dCFB7+w+7coc8ay4O3BgweKp4oUDqgUYvnxDLsZsvx9SzdQSxUK4edjszsAhZWfAwcO8IrEo0ePeGqB3GvNkeZ89uvXTxTYWMJ6M4TkgpiYmBjUr18fwL+pBazlSzqzhrSLXC5YNRfMA+LgMyUlxWKwK2RLa5YSLMizNEc46xpmM3PIkUuBkg6WNvcZpQuosZuJcFVCW2cekk6nKB28Ls0DthQUmss39vb2xsOHDzFy5EiLZZEbRJiXl4d58+bxv4XT1rGAXtp7wiqQSsYwsMFuQsLzhZ3vGRkZFueSl7I0iwq7tkqDeaCwgle3bl1eiRWef8W5irUt8/VLey5sIV2dlhH2un777bf8HJk+fTreeOMN/pxKpUJeXh4mTJiAM2fOyM7qAvx7/XZ3dxfdK27cuIG7d+/yVmEhd3d3k2OKtdADhfe5y5cvY9euXbzVf+TIkejRowdPBcvMzLS6ONfBgwf5d/jw4UNUqFCBvxdQ2EjTqVMnZGRkiFKqWG/t0qVL+X1ZiI2REPrxxx8BiHuXzp07J9pm3LhxCA0NfarBaZcuXXD27FmTXi2g8Jpw8uRJNGrUCEBhb66wpxL4dyyfsAGCjeViv/e9e/dMUm+AwmtM165deQXm3r17oh66yMhIXpESNphJGzsWLVrEx2qVBHYF9Pfu3UOVKlUUbXv27Fm8/PLLNr9HVlYW9u/fj8DAQISGhopysZWYNWsWkpKSMHToUNSoUQNHjx7FvHnzYDAYTObOdda2rmLHjh28FVKv1+Ps2bP8YhETE8MDnA0bNvALlU6nE6WkGI1Gk+kOlc51q3Rgr2wCAAAgAElEQVQaNODfm/2FCxccNq2dOY6ehoq1kioJQiyRa2VRGtDLkc6OAYgDVhboshZQaZe+NIfX1mXsXcnNmzdFM3WYw1KC5Dhqujxz5AZHWiIdvCo9fqzN1KEE63o215pmLxZ0+fn5yT6vJAj95ZdfTO5Hwrxpe1bbrV69umyuN8Na6s1xxHfuaMU9qE84laq04iht1RdOljBixAjZ/Qlbu4UV6MePH5ttYHB3dxelBDVv3hxGoxFeXl4ACmMblv7FKtsVKlTAihUrRGM7rDVKLF68GL6+vgCAPn368JRLVqHTarW8giOcaYX10q5atUq02CPDglyj0YgHDx6YXYFd2vudlpZm16rDRZWcnMx7o4QBPUsjY70pwoYvViFkKTfCuIPdW9l3Z2nq7z179vDrwtatW+Hv7y96nlWAhHGMwWAwSSkTHqusAcJV2dX/Mn78eKsjx/Pz87F06VKTWpdS/v7+2LBhA2bPnm1zrTIhIQEXLlzAO++8gzfeeAPBwcEYO3YsmjZtitjYWFEtzFnbuhJhlyUbRMfKKvwdpa0OwtZEaS4iy1NTwtqiGeZYu2m6GuF0c3KULB4FwGTaTiX7tsTWG7k0/aE0URLMA+K8VXsI0wtsJZy9xJyRI0fynhRpi76lyogrkJtbXW660Li4OIsLczHfffedaIVnR2ADuc1x5rW+cePGTtu3qxIGe9KUL+bQoUOi2UykaaHCx8wFXbt27cKNGzcQEhLCx2IA/46v0el0/P2lY41CQkKwbds2xQ1ZLN1P2MDDKnrm1hcQzsQlNwBcrVbDaDQiOTkZXbp0kQ3mAfF0p+x1xRGfCK+3crO1yaWIsngvLy8P165dK9KCTsK4xdwaJcLfc9y4cTxlV45wLJErsiugLygowMKFCzF37lzZkfl//vknxo8fj3379iluyZdiUzTZ4/Tp0/Dw8BDNtQsU5l6yWQCcva0rYDOR5OXlmeRdK0lnEbaOXb16VZR/9/jxY7uXN39WCXO/LZELyCzlzdsiMDDQIfshljl7hglLubT2LhYmHRvgLMJpES2RG1thjpLA3xbWAnpnkpvlx1U4a8EiYRxhbi2JyZMni45t1oMiTGmSBuFMYmIirzSy9zKX/sT2y1I5hQMjt2zZIltZkKbSSUkbZJS08sqlDLFZbqydq9J0Uzbzi7NZ6lGTC+jZuARL28tNVauUkuNVWkGzNl2vK7MroI+JiUFgYCBOnDiBsWPHimqVW7ZswYcffojU1FR06NDB6qIhzpCcnIyAgACTH4oFM8KTz1nbSmVnZyv6z5Y8R2vYxe3kyZMmaRdKAnppXqvw5Bg8eLDVOXpLMldbOttRo+3lZnoxRy5Vx5EsXcxLoqe5OqNKpVI8xkQp6eBDZ7E1+Ba2yj4tbNArALODFqViY2MdMujQlVekZLngjibXMGirdevWmR34PnjwYJNUtjVr1ijar/B4dXd3lx30a23xvP/973+iv+UGLUuZS+u5deuW1R5E1hrNxmyZWyzS0cwtvAj8u+iakKUFDVnqoC0pu1JKGh2NRqPFgf4liV1Xn5o1ayI6OhpvvvkmMjIy8Mknn2D58uWYPHky1q5dCw8PD0yZMgXjxo2TnSrM2bKyskQXZIY9JsyRcta2UpGRkRgwYIDV/xyV7iA8eeWmOVNyk5IOphTO410UxREst2zZEkDhCHxz+bpCc+bMMZkFx1HYSP3iYEs6hrBlxNzNr1q1aqK/pYOxLKlatSqAoqWnuDJ7eifr1aunaDs2A0dR1KpVS/S3h4dHkfdpi+DgYADWF2Br0KCBTfsVfjf2nmvCXgSWX22NXq/nAxQtYZ9bSHgOyN1jikrJqsRA4b1dek4L5ebmWh0YLaXk89jS0GBOTEwMX5RJScOYtcXy5JgbIOnKAeGYMWOeWgu9pdTQp1GhsEffvn35zEklnd3NCRqNBsOGDcPMmTPh4eGB3bt34+rVq3jxxRexZMkS2ZUzn2WxsbHYtGmT1f+U5vhao2TqO2uEC4Y4klxAL835M2fGjBl2BUpsRpdatWqZvbBJyyVtbZOuaitk6SYoZWuAYo2lnD8hHx8f0d9yufpCwhZnc13EderUMfsaa1gLs71peQDwwgsv2DXo3hb2VkDlptG0xtz3LA2iIiIiTD73Cy+8UKT3etoBPcsjtjZDWNWqVS2moUiPazYXNwDRHO7SQXGWCLdV2urOFiiSEs7rDxTOYMKwKQmFlRDhOfXzzz9jwoQJFt+3Ro0a8PX15T2mwusUm2mHXf8AyykF6enpsqkRQOFYqPLly1vsGXrppZdMHlNybTeX32wvc5/hWXT27FmT1d+fFY5o+JBy5VlvitQ/mJ2djQMHDiA7OxtGo5Ev9qF0Wjpn8fb2lm0tZ48JWwycta2Up6enov/MDZaxlb2pO2xkPmB6I3IUuYD61KlTonnNmRo1agAovMlVrlwZqampFueFlxMcHMxb2fLy8vgNiT3GepGkN2Nzy4AL5z5n5H63qVOnypbH3A3R09OTj3sATHNpWQA3a9Ysi+WU4+bmhv379/PZbd544w3Uq1cPlStXNvsatt9Dhw6JbgasjFu3bkXZsmXNvr9w/mQ5LFd1ypQpOHfunGi+bqZ27doW95Gfn4/hw4cDMJ97W7ZsWcVpEz4+Przc5cqVw4QJE3iQUrNmTbP7B0xTJdzc3ETnkxLmcrelQaubm5tJjnlMTIxoJhHAtMIlJK2o+Pj4oFOnTibbValSRTSfP2B5Wk9LfHx8+PlmNBpRv3592W534TztjRs3tjgxAptdbPz48di/fz80Gg3vfRA2bAg/L5sdw9z0jM8//zyvKCutpEor9ey48PDwEK10KiwH66Xq1q0bf0yY+uTt7W2xl6FSpUro3r078vLy+PVMGMyylnk2bbElwcHBOHjwoGxKCass+vr6iqaflPZeyAVQSlKIHJ1mZG7qTCWElZ/SIisrS3GjWUkl15MmdywX1dNu+LCF3QH9pUuXMHbsWBw9ehR169bFokWL0LdvX2RkZGD69OlYsWKFQ/PBbREYGIjbt2+bBI4sx10YJDhr2+Jmbwu9XFCtdO5/AOjRo4fVbZS2kAOFrcidOnWCm5sbqlevLjulI1vIwhxfX1/eaidsoZ8zZw527NjBe5Okx6v0Rs5avuRyy+U+E5v/WspcEK3T6XiOakxMDEaMGCGas5vdqNkFJTAwEG+//TZeeeUVAJZbIwwGA7RaLU/pYIGEpS5S9vm1Wq1oWW3WWqzRaFCmTBke7LNcZ5Yr6eHhgdGjRyMhIUG0OuOKFSug1Wp5GTw9PaFSqWQrBnJ5l0KZmZm8pfnzzz/nj48ZM4Z/l3l5eejQoQOfbcnX15evm8AqjEx8fDx/z+effx4RERHQ6XRo3rw5/P39RVPJsdStdevWyQ70LFOmDLRardk0DLnUL2E6xnfffceDu9q1a2Po0KGiNBnp720wGEzSaFiqmdx5PWXKFCxatIj/zj4+PiaVRQBo0qSJqDW/WbNmaNiwIT+OhdPLSvOUpS22H3zwAZYuXQqtVgsfHx/odDrZYE7YOBIUFMSDEbljnB1HlStXhq+vL4xGI/9M+fn5/DfWaDQoW7Ysxo4di2nTpkGj0WDu3LmifbHWcA8PD14ZYsGsNJ3svffew/PPPw8AeOedd1CtWjVR0HTy5El+XL/00ks8MBde54xGI+rVq8dTRSwFC8LjhX0Pws/JxqRIKwAHDx7k47xYD3CdOnVM3is6Ohru7u6yFSw3Nzfk5+fDy8tL9Ly7u7voNxYeJ+y66swBxsJVRh2lOMYwhIeHO3X/6enpiip1T5N0jRZbSVPXhGtdSBtArLGl11zpoP7iYFdAv3r1akybNg3p6el48803MX/+fAQGBmLIkCGYNWsWKleujF27diEqKkrxVH2OFBoaipycHJMFVOLj41GpUiVRDdxZ2xY3pZUpdiNh5BazYDdMJZTmQ7/11lsmj40cOVLUwujt7Q0PDw/Ur18ftWvXRmBgoChgkQaA0tmHGJ1Ox2vv/fv358F9aGgoatasafbkN9fyzAJYNq1mWFgY/76FAYe5lr1WrVohISHBpNW4du3ayM/PR7ly5fhnCQ4ORkREBOrWrYuCggK8+eabvIVz69ateOedd1CrVi3069cPPXr0EH3/L730ElQqFTp16sRvUuwzvf766wCU5Qer1Wp+EStXrpyoR0MYwLCBbR988AGWLVsGDw8Pvq1wAGzTpk1x5swZUWXF3Pel1WoxYcIETJw4UbZs//d//yebptKpUyfs379flJbCVnfcv38/v4HKVSJZOdh39tlnn+GLL75AQEAAtFotT1lgKx8HBgaaDehZRVTOrl27cPDgQcTHx/P0HGGLsVqthkajQf/+/fHKK69g7NixWLp0qex6Fy+++CKvwLDfpFatWvx7F45l+uSTT3DgwAEEBwejZcuWOHfuHLZu3Wqyz0WLFvHvLzAwkPcYsZ4UlUqF/v37i3qcwsPDERcXx79XYct0QkICunXrhuDgYJw5cwajR4/GBx98gAYNGuDYsWMm79+0aVOTx9h83sLrB6tgs+NgyJAhfAEpnU6HnTt3Yu7cuejSpQtGjhyJkJAQuLm5yU6VyYL3MmXKwN/fH+Hh4fw7lB6fbdu2xZo1a1CxYkX+nHTQqLASMGHCBCQkJECtVvNFvwwGAzZu3Ai1Wo24uDi+ynR8fLwoNaZWrVp49913+RoQ7u7uKF++POrUqYOKFSsiPz+fB+itW7fGuXPneC+KcNVr1uvQs2dP3gDFKsLCsrN5/Nm1v3379qhcubKossTKL7zmCf/NWkeFvQ/WCNcPUNKibGvgJkfau2qtMUzptKLWGiOEAgICnJIewri5uTl8EL2ULRWht99+W7Zhy5aJEqTrgbz88su80U0uvrBEeB8QXoMDAgJMpmh3xDHnLHYF9Nu2bUPFihUxc+ZMDBs2THRDbdy4MRYvXow2bdogOTnZav6fJQkJCTh58iS/KKakpODkyZM4efIkb628ePEievbsKZriKSQkBE2bNsXSpUuxf/9+/PHHH1iyZAnOnz+PyMhI0Y/nrG2Lm7mLUpMmTUR/C0ffDx8+XHamC0v5iOxiyKb4klsMg2Er74WHh2PcuHHYs2ePaLlxrVYrCtjZZxg2bBj+97//Yfr06fzmfezYMZMBxHJTefn4+CA0NFQUnI8fP140N75wlVsh4WuEF1t24QoICABQuHAISwk4efIk1q9fL8p5NperLlzC/ty5c1i/fj0KCgpMfoMJEyaIVsOVa8X76KOP8NFHH4nSVj755BOsWrWKL54i/EwNGzYUvV46NRhbZIq9hgWlwtY5jUaDd955hw8oEqYLhYSEwNPTk39v7H2FaQmVKlUSBS3C84dVlgwGAyIiImQvouXLl0deXp5sxYvNRiU8L4UBS9WqVS1OI9qjRw8+Y0a1atVQuXJlTJ48GR9//LFoH0BhoNeiRQteCWN521qtlgcl0p4rf39/aLVaVKxYET4+Pvw3rV+/Pg+uNRoNmjRpghdeeIF/xqpVq8rOJLFy5Uq+DTsnt2/fjh49eojWc2jatCkqV65sUgERTmfKprxr2bIlD94aNmxossCPWq2Gj48P6taty9PLPDw80KBBA1FLPeslkHruued4K67c5AlyvQXsMwoHsbH7D/vcvr6+CAwMhK+vLz/+2rdvj9GjR2PYsGEWAzL2O7i7uyMwMFC2IskaBFgLfn5+vij4NJeaJfc5hEFQgwYN+DVBeryvX78eXbt2xX/+8x9ezr59++Kbb77h5WHBkEajgUqlMjnHe/fuzd83PDwcy5cvx08//SQ7tiAkJAQqlYpXqiIiIjB+/HgYDAbReert7Y1Jkybxip+wJ4gF8mx7dn4IB+hKW6bZtS88PBx169Y1KRdQ2PvGOGLSDfbbse/PWmOY0mlhLc0aJT0GtVotf39LaZD20mq1do3pscW1a9cslp0d29u3b8dbb71l0tAxYMAAk7S1vXv3mu2FkYu3WEXeXIoea8hiWK+ycMY+9vtPmDABP/zwg0mjlyNmsnIWu0rWqlUrLF682CQ4ZDw9PXmrWlHytr755hvMnj2b18ROnjyJ2bNnY/bs2aLFGtjKaUIff/wxXnvtNd7qce3aNUyaNEm2dctZ2xYnFgwPGDBANMUVC2rkasKjRo2S3ZelC9jp06cRFRUlyhWWtpSzlmjWZTxx4kSoVCr4+/tDrVabtM6x9AzWWiXH09MTtWvXNhssML1798aAAQNMTkLWugqY3oDbtWuHevXqiV4jnMWAtdCzYy44OFh0Y6pfv77s3LmWWh/Yugvt27c3O+sHm3vc2k2MXbQCAgLQpEkTvhiJOWvXrkVkZCR++uknzJkzBwBEg9qFF07hza5ChQrw9/fnKQ3S3z00NFS0pHv9+vWxa9cus+UQtvxJW5NYGXx8fHjFjQXOwt/Jy8tLVCkMCQkxuwiesGJ0+vRpk+ekx72bm5voela3bl0eWI4fPx4xMTH4z3/+I/q+2HtMnz5dtC/pDBtNmjTB7t27AfwbXKtUKsTExJgdG2BuX8IyVqtWDSEhIXjppZfwzjvvYMWKFRYHd7P3Zay1uhkMBpQvX1602iUgvqHKBeZS7DcUttBKWyy3b99ucYyRtKfmp59+4tP2WcMqlhUqVMDu3bstpk+2a9dOFGzm5eWJzklbZsdSOlDR3d1ddJzPmDEDYWFh/Loxbdo0q4PDhWN6tFotPDw8UKVKFdmeMY1Gg4MHD+LDDz8UNRK8/PLLePHFF/nfa9euRc2aNfn3Vbt2bfz444/w8fFBjx49cObMGd5S/emnn2LmzJlo1aoVL6vwM7E0LKDwHmEucGJjZgD5sUvWzhfp78N+O9YII5d3LWwMUNKK7Ovra1I24T3iu+++w/r16/nfGo2GN67Fxsba9F5KsM/kzHSiwYMHm8zt/8MPP/B/N2rUCEBhb1O5cuVQt25dUcVVugrrf//7X/j5+eG5554TNaQwwuusMD102bJl/Nhh6agMe5z9n/327Pjt27cvL5Ncipzwt3FFdq1hK7zoWtKmTRueY2iPlStXWt2mSZMmskGCh4cHRo0aZTZIfRrbFqf8/HxROZctW4aYmBiULVsWXbp0wf379/lKdB999BHmzJkjOpmaNm3KZ7np168fOnbsiIEDByI4OFi07gBgmmMfExODgQMH4tNPP8WgQYPQoUMH/PTTT2anNJRetMqVK4dz584pHoxmNBp5gL5lyxYkJibyv5XcMDUaDfbu3YuIiAg8fPgQ7777LgICAsymixmNRiQkJCiaH3ffvn3w9fXFpEmT0LlzZ1GrPCMNes2lbikN6OfMmSMaayD9HqWpBuxCW6VKFT7jjDCglgbMDCuHue9YWk7hDUyO8MKZnZ0tmjuZleHgwYP836wFTPi6HTt2iPKvVSqVqMzCf3t4ePDp8qQ33zfffNNsCpeQtGtXp9Px8uj1etkbstwc0mq12iS1zd4eP7lGlP/85z+8ddca6XchPH6EQYmlxa2Afwe2Kv0cNWrUELUWSwN6VlFj15EFCxaIevhYjxljzxLtFStWlC0vq6CcOXMGWq1W1JCg0+lEx7qvry8/p6yxZ+aRZs2amVRUzI3XUcJcQM+CWGEaH+ulmT17tqh37e2330Z4eDjc3d1RvXp1nhol/A0qVqzIe3CXLl2KPn368HN50KBB2LZtG7y8vGQD+bfeegs3btwwqTi6ublh8+bN6N+/P55//nmsXr0aSUlJZqekPHbsmMl37unpiQcPHvDjXi6gDwsLQ1xcHN9+3LhxFtfYmTx5Mh/0zwhXfmVjEhi1Ws1/U2Er9aBBg7Bq1SrRGK1GjRrh6tWrAAq/d2mcVK1aNZP511njxMWLF2WnTXWk+fPnIykpCV5eXqJxH3KVL6PRyD9PUFAQ3N3d0bVrV/Tq1Ut0rW7SpAkCAwPRv39/Pu6FnafTp08XfSb2Pfr7+/NroZ+fH6ZOnYqffvoJzZs3xxtvvIHPP/8cU6dO5QPBVSoVT0ljjStMQkICQkJCbJopqzjYFdDbwhndR8Q6aTdwSEgIypUrB7VajV69euHx48f8AtOrVy/eMsu0bduWB/T+/v78QI6KisKwYcPQpEkT2dVL2c2BBW8s6KpSpYpNAYrSYH7MmDFQq9U8CK5Tpw7+/vtv+Pv7w93dXfEN08/PD4cOHUJISAgPUnx9fREQECBKmRk+fDhvnVPS2sGOf5bCcuDAAZNthFPrWdK6dWv4+fkpGmUvDA6lN0glv4PwBsJef/jwYX5MCfP/HdXqU69ePWzYsAERERHIzs4WTbVWr149UQAAFAaA7dq1Ez1mbcCScOamPn364OWXX8aff/5pst1zzz2H5557zubPMHXqVHh4eCAxMRFubm6iMSodOnTAoUOHFKcJKJ3xSnquLFq0qEgLAFWpUgVnzpyRfU6YgmItoLd1PvWdO3fi77//5ml1ZcuWlZ0piX3e1q1b8y7zoqzuuHfvXgCFQaa5c2PcuHEA5CsJPXv2FFXCq1atirVr11p93ylTpsiOE7BGbjYo5qOPPrJ5f9LrQ9u2bW0+fipXrmzzvd5gMPDfMjIyEm+88YZoPIXw2JKbJ5z95nXr1sWZM2eg0+nMDq5nPD09YTQaMXz4cD6Gp3z58hg1ahR/nVxALzyWx4wZgxdeeIEH9J9++ik+++wzNGjQALdu3cLAgQPRpk0bkwkHqlSpgqSkJACF37mw0UTuuCtfvjy8vLxQu3Zt3Lhxgz++du1aGAwGvPzyywgKCsKRI0dEGQIrV65E9+7dRdfwhg0byq5H4yjCfbdr1042Y0Hunr5582b8+eefOHr0qMUUyKCgIJ6K2LZtW4SFhfHvrFKlSrIroO/ZsweTJ0+GVqvFyJEj0apVK5w9exZubm6oU6cO3njjDR6f5ObmKlpDxZUXfQPsDOhtnTPW1Ws1pVHlypVNauIs/5HVYL/88ksA8ifaoEGDTAadxMTEoF69eqhSpQqMRiPPV7NEOLuJM8YYSPNEgcIbfYsWLfDuu++KWkgPHTqkaJ/spG3UqJGoyxAQ529KT24lg7+kAWezZs0UDzpmrWOWVteTY88KpuxmcObMGf564WwVwp4GPz8/uwITKa1Wi6CgILRo0YIP5GPfcWBgIKZMmcK3XbNmDerWrYtevXqZtIQp5evrC19fX7vKLh0Yz7BZhNiYHuGc6FOnTuUta9YcOnTI7sFX9lREpFjg+uKLL5qtQEqPK3PT3Gq1WpPZhMypWbMmz79XqVRmx7c4EmtFtHc9A2H6ni369Olj1+ssccQ6Jkqu647A7kcxMTGoUKECr0RY6/kDYLLOjVar5cesNKBfsWIF7t69y2dVUalUqFy5MrRaLdRqNQICAjBq1CgeMLK0QtYqu2LFCrzwwgtITEzEkSNH+MDp3bt3Y/fu3aKewq5du/LjV9pTJv2bpfDl5+ebVBRPnz4NrVYLg8GAjh078mlWV6xYYfIZpeenn5+fyXfHepudNc7P0qKa7DOqVCqTdCdWEQwNDVX8XlWqVMGaNWv49cdSw0e1atXw2muv8eswqxiy8UlAYYVQSWrT6tWrXT6WtSugHzFihE1Bws6dO+15G1IEAQEBJl3Qw4cPFx245lqGt2/fDrVajQ8++EA01zVLQWjZsiWuXbuGtm3bmrzWUg321VdfFU1x5ywqlQpubm5YtGiR6EKptNVJaS1cetGUztWthKXWNnNsHQhmzyAe1nqkJG2hadOm/EbjCIsXLwYAi7n/wlS+6tWrP/WVGu0ZG+Tt7a34WmhLC6k9FTal5MaCCN9X+PuYmzHJzc2N7gEuzJnHjyVsIS5zqW1jx47FgQMHZKd9ZdcIOcJzMzw8nFfYhdMkNmzYEEOGDBHl47dp00Z2vQpfX19otVq8/fbbogaqqlWrYsSIEXz8Td26dUVjLxo3bozu3bvzlOB+/fph1qxZPHht3Lgxjh07htDQUB5os/2zIFWj0cDPzw/r1q3D4MGDFTU+sPufMKWHpRc6K6C3NEPPgQMHMGXKFFSvXt3qInJKsev/zJkzLQ5yf++990TXKLnPL5xwgpFbsVvp7EbFya6AvnHjxrIXAYPBgPT0dNy/fx9GoxENGza0K4+xNIqKijIJrMLCwnjN+2kwVwuWBk0sV3XQoEEmi9eYew1QeMGyFDx6eXnZvJplUdg7A4LSY7ZGjRpOnzlAjlqtlp1m0Bxbb9hjx44t0tgXR2nVqpXiuZOdOeWbK9u7d2+xpjW6ehc0se5pBPQsNUpo9uzZFhdeCw0NRYMGDcyu42BOQEAADh06ZFIpFo63CA4ONunBZq2v69ev5+PCtm/fzhvGzM0cx1J0pA06QUFBePfdd7Fr1y74+vrKLkio1WoxdOhQnrIlNzOOWq2W7YkGxGOdqlSpwidE+OGHH9CtWzfe6NSxY0fRTICOZqmVvFy5chYrYEVhaVY9wP4eCWurqLsqu6Jt4VSHcm7fvs0XLLGn1bI0io6OdtiIdUezdFMWTu/IdOzYUTTTAWNP/qarOXLkiMXpxoS0Wq1NXYWOJJczaI6tLfTC6SeLk3ChECJPbnGqp6V79+42LchCXJM9Ab2tqVByDUNKWjwrVqyI48eP2/RegHwPl5Lr4NixY1G/fn2ebiqcMcvcdJaBgYGiVEwhFnAL7/3S2QHZ+hi2UqlUyM7OhkajwS+//CIKXv39/XH27FmeXssaqe7du2e2clAUrjyV47PEKb9CQEAApk6dipSUFKszW5DiV6ZMGezbt0/2Obn80JdfftmmxUJKEqXBfElCF1viDCNGjJBteSUliz0BvdxgZWdRMgmAo7DGDLmpXc210AcGBopSd4RYC7lwNixHTX3o6enJx1NZa4lmzxdlXSBL7JmtiTie0+70Pj4+ZlcAJK6HZiMqvQIDA2VXACZicmNCCCntatasKVoIj8iztoKsHFZZEmFZF74AACAASURBVA6Od5RmzZopHmvj7EUv2SQK5qYLJU+H0xPcHz586Oy3IIRYUK9ePYuLdJFCT2t2D0JciY+Pj8XBz6RQ48aNRQNrlahWrZpoIK0jmRvfJsfZvbSshd7VZ4Ep7Zz2K//111+4ePEi/cCEEEIIKdH8/PzsWsDLUWmcq1evtut1Go3mqbXQk+JlVwu9pdHSubm5SE1Nxa+//gqDwWB1FDIhhBBCCDHP3mkT9Xo9HxTrrLRCyqF3DXYH9NZWCSxbtix69+5dpCWpCSGEEEKI/dRqNY4fP46PP/7YKfungN412BXQyy3DzHeo1aJSpUoICgqyex5wQgghhBBSdBqNBh4eHnZNAaqEXq/H5MmTnbJvopxdAT1bvIAQQgghhLiup5FDT9MjFz/6BQghhBBCSilnB/QGg4ECehfg9GkrSaGoqCiTAz4sLAxhYWHFVCJCCCGElHZPo4Xe2e9BrFMU0I8YMcLuN1CpVFi+fLndry8toqOjRcs/E0IIIYQ4y/z58zFx4kQ+y42zVnamFnrXoCigT0tLc3Y5CCGEEEKIg7Rr1w5z587FCy+84NT3oRZ616AooP/xxx+dXQ5CCCGEEOJA7du3d/p7GAwG3gtAig/1kRBCCCGEELtQyo1roF+AEEIIIeQZYGlBUHtRyo1rUBTQT506Fdu2bZN9Ljs7G/n5+Q4tFCGEEEIIcRyNRuOUVV2phd41KPoFLl68iNu3b8s+FxERgWXLljm0UIQQQgghxHHUajX0er3D90st9K6hyFUqo9HolC4cQgghhBDiGM5qoaeA3jVQHwkhhBBCSCmn0Wig0+kcvl9KuXEN9AsQQgghhJRyarUaubm5Dt/vrVu3kJ2d7fD9EttQQE8IIYQQUsrt2bMHY8eOdfh+r1y5gidPnjh8v8Q2tBLAUxIVFWXSJRUWFoawsLBiKhEhhBBCnhWvvfYa3N3dHb7fV199FUFBQQ7fL7GN4oD+8OHDOHz4sMnjKpXK7HPMzp077StdKRIdHQ1PT8/iLgYhhBBCnkFRUVFYu3atw/ebl5eHsmXLOny/xDaKA3qayYYQQgghpGQqU6YM8vLyHL7fgoICuLm5OXy/xDaKAvoff/zR2eUghBBCCCFOolarndI4m5eXhzJlyjh8v8Q2NCiWEEIIIaSUU6lUTgnoCwoKKKB3ARTQE0IIIYSUcs4K6PPz8ymgdwEuPctNTk4O1q1bhxMnTiArKwsBAQHo27cv2rRpY/W1169fx7p165CYmAij0YigoCAMHjwYzz//fJG2/euvv7BhwwYkJSXh8ePH8PPzQ9u2bdG7d2+njB4nhBBCCCkqZ6Xc5OfnUw69C3DpFvpZs2YhPj4e4eHhmDFjBoKCgjBv3jwcOXLE4uuuX7+OyZMnIz8/Hx988AGioqKQn5+PadOmITEx0e5tU1JS8OGHHyItLQ0jRozA9OnT0aZNG2zcuBHz58939McnhBBCCHEIlUoFg8Hg8P3q9XpotS7dPvxMcNlfICEhARcuXMDEiRPRtm1bAEBwcDDS0tIQGxuL1q1bQ6PRyL42Li4OXl5emDFjBm81f/HFFzFy5EisWrUKc+fOtWvbo0ePIj8/H1OmTEG1atX4thkZGdi/fz8eP36McuXKOeX7IIQQQgixl7NSbohrcNkW+tOnT8PDwwOtWrUSPd6hQwdkZGTg+vXrZl979epVNGnSRJQC4+npicaNG+Pq1avIyMiwa1tWA5XOJ1+uXDmo1WqqoRJCCCHEJTkr5Ya4BpcN6JOTkxEQEGDSCh8YGMifN8fcnKjssVu3btm1bfv27eHl5YVvvvkGd+/eRXZ2Ns6ePYt9+/aha9euFnPos7OzFf1XUFBgdh+EEEIIIfZQqVTQ6/XFXQziJC7bpJyVlYWqVauaPO7t7c2fN6dWrVq4du0aDAYD1OrCOoter+et+sLX2rJtlSpVMG/ePMyaNQsjR47kj3fv3l30t5zIyEiLzzMREREYOHCgom0JIYQQQpQoU6YM8vPzi7sYxElcNqAvim7dumHRokVYtmwZBgwYAIPBgA0bNiAtLQ0AeOBu67b37t3DF198gQoVKmDy5Mnw8fHB9evXsWnTJuTm5mLcuHFmyxQbG2uSqiOHRooTQgghxNEo5aZ0UxTQb9iwwe43UKlUCA8Pt/l13t7esq3w7DHWUi+nY8eOePToETZv3oy9e/cCABo2bIjevXtj27ZtqFSpkl3brl69Gjk5OVi0aBFPr3nhhRdQvnx5LFy4EK+99hqaNGkiWyZPT09FAT0hhBBCiDOoVKriLgJxEsUBvdzoaOGBwZ6TPmZvQB8YGIhjx45Br9eL8uhZ7nzt2rUtvr5v377o2bMn7ty5Aw8PD/j7+2PJkiVwd3dHvXr17Nr2xo0bqFmzpkmufFBQEIDCaS3NBfSEEEIIIcWJWuhLL0UB/fjx400eu3r1Kg4cOAA/Pz+0bNkSfn5+AID79+/j1KlTuH//Pjp16oRGjRrZVbDQ0FDs378fp06dQuvWrfnj8fHxqFSpEurXr291H25ubjzwT0tLw4kTJ9CpUyeULVvWrm19fX2RnJyMnJwceHh48MfZfPW+vr52fVZCCCGEEELspSigf/3110V/JyYm4uuvv8aAAQMQHh5uMhPNsGHDsGnTJmzduhUdOnSwq2AhISFo2rQpli5diuzsbFSrVg3Hjh3D+fPnMWHCBP6eFy9exLRp0xAeHo6IiAgAha34p06dQr169eDm5oabN29i69atqFatGgYPHix6H1u27dGjB7788kt88skn6NmzJ8qXL49r165h69atqFmzJl566SW7PishhBBCCCH2smtQbFxcHGrUqIFBgwbJPq/RaDBw4ECcPn0acXFx+OKLL+wq3Mcff4y1a9ciLi4OWVlZCAgIwKRJk9CmTRvRdgaDQdSNpNVq8fvvv2PXrl3IycmBn58f3njjDfTt29ckXcaWbV955RXMnDkTW7duxfLly/HkyRP4+fmhc+fO6NevHw1oJYQQQgghT51dAX1SUhJCQkKsble7dm0kJCTY8xYAAA8PD4waNQqjRo0yu02TJk2wa9cu0WM1atTA7NmzFb2HLdsChavVBgcHK96eEEIIIaQ00ul0tH6Oi7B7Yanbt287ZBtCCCGEEFLynDlzBqmpqcVdDAI7A/pGjRrh5s2b2L59u9lttm/fjhs3btg9KJYQQgghhLgug8GAIUOGFHcxCOxMuRkyZAguXbqE1atX49ChQ3yWG5VKhbS0NJw6dQqpqakoW7Ys/dCEEEIIIaWQdGpxUnzsCujr1KmDmTNnIiYmBrdv38bmzZv5/PNscGr16tXx/vvvo06dOo4rbQkWFRUlWnUWAMLCwhAWFlZMJSKEEEIIsZ9erzeJbUjxsCugB4AGDRpg6dKluHjxIq5cuYKMjAwYjUZUqlQJzz//PIKDg2lFMoHo6GhaKZYQQgghpYZOp4NWa3coSRyoSL+CSqWiWV8IIYQQQp5BBoOBpux2EQ7pJykoKEBGRgaysrIcsTtCCCGEEOLiKIfedRSphX7Pnj3Yt28fkpOTAQDt27fH+PHjAQDHjx/H8ePHMWzYMFSvXr3oJSWEEEIIIS6DAnrXYVcLvV6vx+eff45vv/0WqampqFWrlmilVgCoWbMmzpw5g+PHjzukoIQQQgghxHXodDoK6F2EXQH9jz/+iISEBDRv3hwrV67E4sWLTbYJDAxElSpV8Ouvvxa5kIQQQgghpGgyMjKQm5vrsP3p9XoaFOsi7AroDx8+jIoVK2LSpEmoUKGC2e2qVq2KtLQ0uwtHCCGEEEIc4/Lly9iwYYPD9kcpN67DroD+zp07aNCgAcqWLWtxu/LlyyMzM9OughFCCCGEEMfKz8932L4ooHcddgX0bm5uyMnJsbrd/fv34eXlZc9bEEIIIYQQB6OAvnSyK6APDAxEUlKSxdb3tLQ0/PXXX6hXr57dhSOEEEIIIY7jyICeBsW6DrtGMnTs2BELFy7EV199hUmTJqFcuXKi53NycrB48WLodDp06tTJIQUt6aKiokyWRw4LC0NYWFgxlYgQQgghz5qCggKH7YsGxboOu36F119/HefOncOpU6cwYsQINGrUCABw9epV/O9//8PFixfx+PFjtG3bFi1atHBogUuq6OhoeHp6FncxCCGEEPIMK1OmjMP2RSk3rsPuatVHH32E7du3Y8eOHXxqyjt37uDOnTvw9PTEoEGD0L9/f4cVlBBCCCGE2G/+/Pl49OiRw/ZHAb3rsDugV6lU6NOnD3r16oUbN24gLS0NBoMBvr6+CAoKgpubmyPLSQghhBBCikCr1To85YYCetdQ5MQnjUaDoKAgBAUFOaI8hBBCCCHECdzc3KDT6Ry2PwroXYdds9wsXLgQS5YswZ07dyxud+DAASxcuNCughFCCCGEEMfRarUODeh1Oh0NinURdgX08fHxOHjwICZOnIjff//d7HZXrlzB4cOH7S4cIYQQQghxDDc3N0q5KaXsCugBoEqVKsjLy8OMGTOwe/duR5aJEEIIIYQ4GAX0pZfdAX3jxo0xa9YseHt7Y/ny5ViyZAn0er0jy0YIIYQQQhyEcuhLL7sDegBo0KABoqOjUbduXRw8eBDTpk2zuHosIYQQQggpHlqtFqtWrXLY/iigdx1FCugBoHLlypgzZw5atmyJy5cvY8KECUhOTnZE2QghhBBCiIM4egArDYp1HUUO6IHCVcc++ugjDBw4EGlpafjwww9x+vRpR+yaEEIIIYQ4gKPXCKIWetfh0GpVeHg4ateujQULFmD27NmoUKGCI3dfokVFRUGtFtefwsLCEBYWVkwlIoQQQsizxNGt6Xq93iS2IcXD4f0kLVq0QNWqVTFz5kzcv38fKpXK0W9RIkVHR8PT07O4i0EIIYSQZ5SjW9MNBgMF9C7CroD+yy+/RMWKFc0+X6dOHURHR2Pfvn0wGAx2F44QQgghhDiGo4Pv9PR0arh1EXYF9E2aNLG6jY+PDwYMGGDP7gkhhBBCiIOVK1fOoa30V69eddi+SNFQPwkhhBBCyDNArVbj1VdfLe5iECdQ1EK/cOFCqFQqvPXWW6hYsSIWLlyo+A1UKhXGjRtndwEJIYQQQggh5ikK6OPj46FSqdCnTx9UrFgR8fHxit+gKAF9Tk4O1q1bhxMnTiArKwsBAQHo27cv2rRpY/W1169fx7p165CYmAij0YigoCAMHjwYzz//fJG2BYDLly9jy5YtSExMREFBAXx9fdG+fXuEh4fb9TkJIYQQQp4Go9FY3EUgTqAooP/yyy8BAH5+fqK/nW3WrFlISkrC0KFDUaNGDRw9ehTz5s2DwWBAu3btzL7u+vXrmDx5MurXr48PPvgAALBt2zZMmzYNs2bNQsOGDe3aFgCOHDmCBQsWoFWrVoiKioK7uzv++ecfZGRkOP4LIIQQQgghxApFAb10EKySQbFFlZCQgAsXLmDixIlo27YtACA4OBhpaWmIjY1F69atzQ7siIuLg5eXF2bMmAF3d3cAwIsvvoiRI0di1apVmDt3rl3bPnjwAF9//TU6d+6MMWPG8MeDg4Md/vkJIYQQQlxZ69ati7sI5P9z2UGxp0+fhoeHB1q1aiV6vEOHDsjIyMD169fNvvbq1ato0qQJD9ABwNPTE40bN8bVq1dFrem2bHvgwAHk5uaib9++jviIhBBCCCGEFJnDF5ZylOTkZAQEBJi0wgcGBvLnGzVqJPvagoIC2eWN2WO3bt1CpUqVbN720qVL8Pb2xu3btzFz5kwkJyfD29sbLVq0QGRkpMWFo7Kzs6184n/f19FLMxNCCCGEkNJLUUA/derUIr2JPTn3WVlZqFq1qsnj3t7e/HlzatWqhWvXrolWMNPr9bxVX/haW7Z98OAB8vLyMHv2bPTr1w8jR45EUlIS4uLikJycjDlz5phdYCEyMlLR546IiMDAgQMVbUsIIYQQQoiigP7ixYt2v0FxrCDWrVs3LFq0CMuWLcOAAQNgMBiwYcMGpKWlARCvlGbLtkajEfn5+RgyZAj69esHoHA8gVarxfLly/H777+jadOmsmWKjY212ILPUOs8IYQQQpyFVnYtnRQF9CtWrHB2OUx4e3vLtsKzx1hLvZyOHTvi0aNH2Lx5M/bu3QsAaNiwIXr37o1t27bxFBpbt2Xv2axZM9H7vfTSS1i+fDn++usvswG9p6enooCeEEIIIYQQWygK6P39/Z1dDhOBgYE4duwY9Hq9KI8+OTkZAFC7dm2Lr+/bty969uyJO3fuwMPDA/7+/liyZAnc3d1Rr149u7YNDAzEtWvXTN6LzelKtV5CCCGEuDJHzUNP89m7Fped5SY0NBQ5OTk4deqU6PH4+HhUqlQJ9evXt7oPNzc31K5dG/7+/khLS8OJEyfQqVMnlC1b1q5tW7ZsCQD49ddfRa9NSEgAADRo0MDmz0kIIYQQUtJIG1xJ8XLZWW5CQkLQtGlTLF26FNnZ2ahWrRqOHTuG8+fPY8KECfwgunjxIqZNm4bw8HBEREQAKGzFP3XqFOrVqwc3N7f/1979h0VZ5/sff/FjgEFRIbUIElNQk9Ry3bSOP7ZWLR38VZRibmanyD3Xnj1H0rMd1/Xr7rkOdelensu2zDZXagXR1E1lXbM9JocIy8zwR4GYKWuacvwJyCAwM98/PMw6gggzN8zAPB/X5XXRPZ/7vt8zn+6L13z43J9bx48f16ZNmxQdHa1Zs2a5nKclbYcOHaoHHnhA69evl8PhUP/+/XX06FGtX79eP/zhD5WYmNg2Hw4AAIAX2Ww2BQf7bIz0O273RHV1tbZu3apPP/1U33//vaxW603bbt261a1zLFy4UGvXrlVWVpYqKioUGxurBQsWaPTo0S7t7Ha7y59+goODdeDAAeXk5MhqtapHjx6aMGGCkpOTXdabb2lbSfq3f/s3ZWdn64MPPlB2draioqI0ZcoU55cJAACAjq6uro4Reh/iVqC/cuWKXn75Zf3tb39TYGCggoOD5XA4FBkZqUuXLjnDdY8ePTwqzmw2KzU1VampqTdtM2jQIOXk5Lhsi4mJ0auvvtqsc7SkrSSFhobq2Wef1bPPPtvsfQAAADoSRuh9i1tz6Ddt2qTS0lI9+uij2rBhgx566CEFBATo3Xff1caNG/Wv//qvioyMVP/+/b2yQg4AAABaDyP0vsWtQP/pp58qKipKqampCgkJcVndJSQkRI888oj+4z/+Q3v27NH7779vWLEAAADwvqqqKnXq1MnbZeD/uBXoy8rK1LdvX+efWuofvlRXV+ds06tXL917773atWuXAWUCAADAUwEBAbLb7R4fp6KioslnAqFtuTX5KSQkxOWJpmazWZJ08eJFl3nzERERKioq8rDEjiEtLc3lqbOSZLFYZLFYvFQRAADwNyaTSbW1tY0u4d0S5eXlBHof4lag7969u8rKypz/HRsbK0k6fPiwHn74YUnXbpY4evQonf1/li9fzpNiAQCAV4WEhBgS6K9evaqQkBCDqoKn3Jpyk5iYqNLSUl25ckWS9MADDygoKEi///3v9Ze//EV79+7VK6+8orKyMt17772GFgwAAAD3mEwm1dTUeHwch8PBTbE+xK0R+lGjRumbb75RcXGxfvCDH+i2227TM888ozVr1uitt96SJOcylizvCAAA4BtCQkIMC/TXL4oC73Ir0CcmJuq3v/2ty7apU6fqnnvu0Z49e1RZWamYmBiNHTuWKTcAAAA+on4OvafsdnuDewPhPYY+EaB///7q37+/kYcEAACAQbKzs3X77bdr1qxZHh3HbrczQu9D+GoFAADgRw4ePOjxMRwOByP0PsSjEfrq6mp98803unjxYpN/vnnkkUc8OQ0AAAAMEB8fr6FDh3p8HKbc+Ba3Ar3D4VBWVpa2bdumq1evNtkuICCAQA8AAOADkpOTFR0d7fFxHA6HAdXAKG4F+vXr1+u9995TcHCwhg8frujoaIWFhRldGwAAAAwUFBQkm83m8XFqamrUuXNnAyqCEdwK9B9++KHCw8O1bNky3XXXXUbXBAAAgFZgZKDnwVK+w63JT+Xl5br33nsJ8wAAAO2IUYG+trZWJpPJgIpgBLdG6O+8805ZrVaja+nQ0tLSGtw8YrFYZLFYvFQRAADwN0FBQaqrq/P4OIzQ+xa3Av3EiRP1hz/8QSdPnmSUvpmWL1+u8PBwb5cBAAD8WHBwcJMLmjSX1WplhN6HuDXlZsKECRo/frwWL16sjz76SOfPnze6LgAAABjMqCk3q1ev1tmzZw2oCEZwex36xx57TAcOHNCKFStu2Xbr1q3ungYAAAAGMSrQw7e4FeiLi4u1ePFiVVdXKyAgQBEREQoNDTW6NgAAABjIyEDPspW+w61An5GRoerqaqWkpGjKlCnMDQcAAGgHjLopdsSIEbrvvvsMqAhGcCvQHz9+XP3791dKSorR9QAAAKCVBAcHGxLoQ0NDFRzs9sxtGMytm2LDwsIUGRlpdC0AAABoRcHBwYZMubHb7QoKCjKgIhjBrUA/bNgwHT16VLW1tUbXAwAAgFbCTbEdk1uBfvbs2TKZTFqxYoWqqqqMrgkAAACtgEDfMbk1+emdd95RXFycPv74Y33xxReKj4/XbbfdpoCAgAZtAwIC9POf/9zjQgEAAOAZowJ9Y5kP3uNWoN+1a5fz5ytXrujAgQM3bUugvyYtLU2Bga5/ELFYLLJYLF6qCAAA+BujAr3D4TCgGhjFrUD/n//5n0bX0eEtX76c5T0BAIBXGbXKDXyLW4F+0KBBRtcBAACAVsaUm47JrZti/+Vf/kWvvvqq0bUAAACgFTHlpmNyK9CfOnWKtUcBAADaGaOeFAvf4lagv/POO1VRUWF0LQAAAGhFRs2hZ8qNb3FrDv24ceOUkZGhkydP6q677jK6Jier1arMzEzl5+eroqJCsbGxSk5O1ujRo2+5b0lJiTIzM1VcXCyHw6GEhATNmjVLAwcO9Kjt9Xbu3KnXX39dYWFh2rhxo9vvEwAAoC0YFeiZcuNb3BqhnzRpkn784x9r4cKF2rJli06fPt0qT41NT0/Xrl27NGPGDC1ZskQJCQlatmyZcnNzm9yvpKREL7/8smpqajRv3jylpaWppqZGixYtUnFxsdttr3f+/HllZGQoKirKiLcKAADQ6hih75jcGqGfMmWKpGvfzjIyMpSRkdFk+61bt7b4HPv27VNhYaHmz5+vMWPGSJIGDx6ssrIyZWRkaNSoUTedx5+VlaVOnTppyZIlCgsLkyQNGTJEL7zwgtasWaOlS5e61fZ6b7zxhhITE9W5c2cVFBS0+P0BAAC0NUboOya3Rui7d++u7t27q0ePHs6fm/rnjj179shsNmvkyJEu28eOHasLFy6opKTkpvsWFRVp0KBBzoAuSeHh4UpMTFRRUZEuXLjgVtt6u3fv1uHDh/XTn/7UrfcGAADgDUYE+tOnT+vjjz82qCIYwa0R+j/84Q9G19FAaWmpYmNjG4zC9+7d2/n6Pffc0+i+tbW1MplMDbbXbztx4oRzqkxL2krSpUuX9Pbbb2v27Nkt+rJSVVXVrHYmk6nRegAAADwVFBQku93u0TG+/fZbg6qBUdwK9G2hoqJCd9xxR4PtERERztdvplevXjpy5IjsdrsCA6/9EcJmszlH9a/ftyVtJenNN99UbGysJk6c2KL3M2fOnGa1S0lJ0cyZM1t0bAAAgObydP47y176HsMCfVVVlQICAmQ2m406pNuSkpL02muvadWqVZo+fbrsdruys7NVVlYmSc7g3tK2n3zyifbu3asVK1a0+GLIyMhQeHj4LdsxOg8AAHzZ1atXvV0CbuBRoP/iiy+Uk5OjoqIiVVdXS5JCQ0OVmJiopKQk/eAHP3D72BEREY2Owtdvqx+pb8y4ceN0+fJlvffee9qxY4ckacCAAZo2bZo2b97sMoWmuW2tVqtWrVqlpKQkRUVFqbKyUtLfv6VWVlYqODjYZS7+9cLDw5sV6AEAAHwZgd73uB3oV69erZycHOddzvVhtaqqSl988YX279+vSZMm6fnnn3fr+L1791ZeXp5sNpvLPPrS0lJJUlxcXJP7Jycna8qUKTp9+rTMZrN69uzpXDM+Pj6+xW3Ly8t16dIlbdmyRVu2bGlwvpSUFA0fPlyLFi1y6/0CAAC0BU9XqKkfxIXvcCvQf/zxx9q2bZu6du2q6dOn6+GHH1anTp0kXQv0u3fv1oYNG5STk6P+/ftr1KhRLT7HiBEjtHPnThUUFLjsv2vXLkVFRalfv363PIbJZHIG/7KyMuXn52v8+PEKDQ1tcdvIyEilp6c32G/Tpk06fPiwlixZoi5durT4fQIAALQnNTU13i4BN3Ar0G/fvl0mk0mvvvqqYmJiXF4LDw+XxWLRfffdp5///Of6y1/+4lagHzZsmO677z6tXLlSVVVVio6OVl5envbv36+XXnrJOWp/6NAhLVq0SDNmzFBKSoqka6P4BQUFio+Pl8lk0vHjx7Vp0yZFR0dr1qxZLudpbtuQkBANGjSoQZ3//d//rcDAwEZfAwAA6Gj69++vp59+2ttl4DpuBfoTJ05o8ODBDcL89WJiYjR48GAVFRW5XdzChQu1du1aZWVlqaKiQrGxsVqwYIFGjx7t0s5ut7v8+Sg4OFgHDhxQTk6OrFarevTooQkTJig5ObnBHPeWtAUAAOgIHA6H26vd2O12RUdHG1wRPOFWoK+trW1W2A0LC1Ntba07p5Akmc1mpaamKjU19aZtBg0apJycHJdtMTExevXVV5t1jpa0bcy8efM0b948t/cHAABoS0FBQbLZbAoOdu9Wyhvvb4T3ufWk2OjoaB0+fLjJmyKqq6t1+PBhvsEBAAD4kMDAQI9ujPXkywBah1uBfuTIkbp8+bJeeeUVnTlzpsHr33//vV555RWVl5e7NX8eAAAArSMwMFA2m83t/Rmh76vgYgAAG7xJREFU9z1ufb2aNm2aPvvsM3355ZeaO3eu+vXrp549eyogIEBnz55VSUmJ7Ha74uPjNXXqVKNrBgAAgJsCAwNlt9vd3r+uro5A72PcCvShoaFKT0/XH//4R/31r39VcXGxiouLna+HhIRo3LhxeuaZZxpdItIfpaWluTx1VpIsFossFouXKgIAAP6IQN/xuD0Bymw268UXX9Ts2bN17NgxXbhwQZIUFRWlvn37skLMDZYvX86TYgEAgNeZTCbnk+7dsXLlSj333HMGVgRPeXxHQ1hYmBITE42oBQAAAK3MZDJ59HCos2fP6q677jKwInjKrZtiAQAA0D6FhIR4FOjHjh2rAQMGGFgRPNWsEfrNmzd7dJInnnjCo/0BAABgDJPJ5NFzgux2O3PofUyzAv27777b7KeJ1a9ren17Aj0AAIBv8HSEvq6ujnXofUyzemPGjBktejzwxYsX9dFHH6mmpsbtxwoDAADAeJ6O0NtstgYr98G7mhXoZ86c2ayDlZeXa/PmzcrNzVVNTY3CwsI0ceJEjwoEAACAcTwdoXc4HAR6H2PI30sqKir0pz/9Sdu3b9fVq1cVEhKiadOm6fHHH1fXrl2NOAUAAAAM4Gmgh+/xKNBXVlY6g7zValVISIgmT56s5ORkgjwAAIAPItB3PG4F+srKSm3ZskV//vOfZbVaFRwcrMmTJ+uJJ55QZGSk0TUCAADAIAT6jqdFgf7KlSvasmWLcnJynEE+KSlJycnJBHkAAIB2wNObYuF7mhXoq6qqtHXrVm3dulVVVVUymUyaOHGinnzySUVFRbV2jR1CWlpagxtILBaLLBaLlyoCAAD+KCQkROXl5d4uAwZqVqD/x3/8R1VVVSk4OFgWi4Ug74bly5crPDzc22UAAAA/xwh9x9OsQH/lyhUFBATIZrPpww8/1IcfftjsEwQEBGjTpk1uFwgAAADjMIe+42n2HHqHwyGHwyG73d6a9QAAAKAVEeg7nmYF+m3btrV2HQAAAGgDnky5qa2tVVFRkcEVwVM85gsAAMCPhISE6K233nJr3yNHjujcuXMGVwRPEegBAAD8iMlkcnvf4GCPnkmKVkKgBwAA8CP1odxms7m9L3wLgR4AAMAPsXRlx0GgBwAA8CMOh0OSdPXq1RbvW1dXZ3Q5MACBHgAAwI9UV1dL+nuwb4m6ujqNGzfO6JLgISZCtZG0tDQFBrp+f7JYLLJYLF6qCAAA+KPKykpJcuvZQtXV1Ro4cKDRJcFDBPo2snz5coWHh3u7DAAA4OcGDBigmJgYtwL95cuXFRkZ2QpVwRNMuQEAAPAjZrNZI0aMcCvQX7p0SV27dm2FquAJAj0AAICfCQwMdCvQW61Wmc3mVqgIniDQAwAA+Bl3Az18E4EeAADAz5hMJrfWoXc4HAoICGiFiuAJn74p1mq1KjMzU/n5+aqoqFBsbKySk5M1evToW+5bUlKizMxMFRcXy+FwKCEhQbNmzWr0zuzmtj1w4IByc3NVVFSkc+fOqVOnTkpISNCMGTMUHx9v2PsGAABoTaGhoc7lK1uCQO+bfHqEPj09Xbt27dKMGTO0ZMkSJSQkaNmyZcrNzW1yv5KSEr388suqqanRvHnzlJaWppqaGi1atEjFxcVut92xY4fKyso0efJk/b//9/+UmpqqS5cuaf78+Tpw4IDRbx8AAKBVhIaGuvVgqb/+9a8Eeh/ksyP0+/btU2FhoebPn68xY8ZIkgYPHqyysjJlZGRo1KhRCgoKanTfrKwsderUSUuWLFFYWJgkaciQIXrhhRe0Zs0aLV261K22c+fOVbdu3VzONXToUKWmpmrjxo0aMmSIoZ8BAABAa3A30BcVFRHofZDPjtDv2bNHZrNZI0eOdNk+duxYXbhwQSUlJTfdt6ioSIMGDXIGdEkKDw9XYmKiioqKdOHCBbfa3hjmpWtLP/Xq1Uvnzp1z630CAAC0tbCwMLcCPXyTzwb60tJSxcbGNhiF7927t/P1m6mtrZXJZGqwvX7biRMn3GrbmCtXrujYsWPq1atXk+2qqqqa9c+dG1QAAABawp059A6HQ5IYofdBPjvlpqKiQnfccUeD7REREc7Xb6ZXr146cuSI7Ha7AgOvfWex2WzOUf3r921J28asWrVK1dXVeuqpp5psN2fOnCZfr5eSkqKZM2c2qy0AAIA7goODVVdX16J96kf0CfS+x2cDvSeSkpL02muvadWqVZo+fbrsdruys7NVVlYmSc7g3tK2N8rMzFRubq5efPHFW65yk5GRofDw8FvW3thfCwAAAIwUGBgom83Won3Onj3r3Be+xWcDfURERKOj4/Xb6kfqGzNu3DhdvnxZ7733nnbs2CFJGjBggKZNm6bNmzcrKirKrbbXy87O1oYNG/STn/xESUlJt3w/4eHhzQr0AAAArS0wMFDfffedrl69qtDQ0Gbt8+abb0pSs9uj7fhsoO/du7fy8vJks9lc5tHXz52Pi4trcv/k5GRNmTJFp0+fltlsVs+ePfX6668rLCyswWh6S9pK18L8unXrNHPmzFtOtQEAAPA1gYGBWrlypbp166bHH3+8WfuUl5dLurYgCHyLz/7NZMSIEbJarSooKHDZvmvXLkVFRalfv363PIbJZFJcXJx69uypsrIy5efna/z48Y1+s2xu2/Xr12vdunWaPn26UlJSPHuTAAAAXnD9fYPNVVlZKUkuKwPCN/jsCP2wYcN03333aeXKlaqqqlJ0dLTy8vK0f/9+vfTSS85R+0OHDmnRokWaMWOGM2CXlpaqoKBA8fHxMplMOn78uDZt2qTo6GjNmjXL5Twtafv+++8rKytLQ4cO1bBhwxo8eGrAgAGt+IkAAAAYIyQkRNK1VfiaKy4uTl9//TUj9D7IZwO9JC1cuFBr165VVlaWKioqFBsbqwULFmj06NEu7ex2u3MpJenandsHDhxQTk6OrFarevTooQkTJig5ObnBt8qWtN27d68kaf/+/dq/f3+DenNycox66wAAAK0mOPhaBCwsLNTs2bNv2f4Xv/iFc+CSEXrfE+C4PgnDcFVVVZo+fbo2bNjATbEAAMAn7Nu3T3PnznX+fCvDhg3ThAkT9KMf/Ug//vGPW7s8/J/m5kifnUMPAACA1nHjgzub4/Llyyyv7aMI9AAAAH7m+kBfVFSk3NzcW+5TXl7unKoD30KgBwAA8DPXPxxq+/btWrly5U3b2u12SdeeBUSg900EegAAAD9z/Qi93W5v8umv58+flyRdvXqVQO+j6JU2kpaW1uBisVgsslgsXqoIAAD4q4SEBOfPDoejyUBfW1srSTpz5oxzuUv4FgJ9G1m+fDmr3AAAAJ8QHBysxx57TB988IEcDoccDofWrFmj5557rkHbmpoa58+NPZwT3seUGwAAAD80ceJESdem3Fy9evWm8+jr6uqcPxPofROBHgAAwA899NBDGjVqlG71SCJG6H0fgR4AAMCP2e122Wy2Bturq6s1bNgwl0DPU2J9E4EeAADAT3388cf69ttvnUtTSlJ+fr4cDoeqq6slMeWmPeCmWAAAAD926NAh9ezZU5KUlJSkM2fO6Omnn9a4ceMkMeWmPSDQAwAA+Ln6KTdnzpyRJGVlZSkuLs5lmyQFBAS0fXG4JabcAAAA+LnG5tDXj8ynp6dL+vuqOPA9BHoAAAA/11Sgr/eb3/ymrcpBCxHoAQAA/FxFRUWDbTcGevgu5tC3kbS0tAaPVbZYLLJYLF6qCAAA+LsPPvhAjz32WKOvEejbDwJ9G1m+fLnCw8O9XQYAAIBT9+7db/ramjVr2rASeIIpNwAAAEA7RqAHAABAk3Jzc71dAppAoAcAAECTOnfu7O0S0AQCPQAAANCOEegBAADQqKeeesrbJaAZCPQAAABolN1u93YJaAYCPQAAABrVpUsXb5eAZiDQAwAA+LF9+/bpV7/6VaOvDRw4sI2rgTsI9AAAAH5uypQpkqS5c+c6t919993q3LmzoqOjvVUWmoknxbaRtLQ0BQa6fn+yWCyyWCxeqggAAODvpk6dqueff16rVq3SqFGjdOrUKQ0bNkw5OTneLg23QKBvI8uXL1d4eLi3ywAAAGjUokWLJEmfffaZ3nrrLVVUVHi5IjQXgR4AAABOQUFBev7551VXV+ftUtBMBHoAAAC4CAkJUUhIiLfLQDNxUywAAADQjhHo0SHU1tZq3bp1qq2t9XYpMBh927HRvx0b/dtx0be+xaen3FitVmVmZio/P18VFRWKjY1VcnKyRo8efct9S0pKlJmZqeLiYjkcDiUkJGjWrFmNrqfakrae1ITWU1tbq+zsbE2dOlUmk8nb5cBA9G3HRv92bPRvx0Xf+hafHqFPT0/Xrl27NGPGDC1ZskQJCQlatmyZcnNzm9yvpKREL7/8smpqajRv3jylpaWppqZGixYtUnFxsdttPakJAAAAaA0+O0K/b98+FRYWav78+RozZowkafDgwSorK1NGRoZGjRqloKCgRvfNyspSp06dtGTJEoWFhUmShgwZohdeeEFr1qzR0qVL3WrrSU0AAABAa/DZEfo9e/bIbDZr5MiRLtvHjh2rCxcuqKSk5Kb7FhUVadCgQc6ALknh4eFKTExUUVGRLly44FZbT2oCAAAAWoPPBvrS0lLFxsY2GPHu3bu38/Wbqa2tbXQ+V/22EydOuNXWk5q8Yfv27X51Xm/xt8/Zn/rX3z5jf+pbyf8+Z3/qX3/7jP2pbyU+58b4bKCvqKhQREREg+3125p6elmvXr105MgR2e125zabzeYcQb9+35a09aSmqqqqZv0z8m5x/odvG/72OftT//rbZ+xPfSv53+fsT/3rb5+xP/WtxOfcGJ+dQ++JpKQkvfbaa1q1apWmT58uu92u7OxslZWVSZICAwPdauuJOXPmNKtdSkqKZs6cacg5AQAA0PH5bKCPiIhodMS7fltjI+X1xo0bp8uXL+u9997Tjh07JEkDBgzQtGnTtHnzZkVFRbnV1pOaMjIyFB4e3tRbliSWfgIAAECL+Gyg7927t/Ly8mSz2VzmrNfPU4+Li2ty/+TkZE2ZMkWnT5+W2WxWz5499frrryssLEzx8fFutfWkpvDw8GYFegAAAKAlfDbQjxgxQjt37lRBQYFGjRrl3L5r1y5FRUWpX79+tzyGyWRyhuyysjLl5+dr/PjxCg0NdautOzU5HA5J1+bQtzW73e43560/n7+8X386L33bsc9L/3bs83qrf/3pM/bWebl220b9+erz5M0EOG7Vwot+9atf6ZtvvtGzzz6r6Oho5eXlaefOnXrppZf0ox/9SJJ06NAhLVq0SDNmzFBKSoqkayPmBQUFio+Pl8lk0vHjx7Vp0yb17NlT6enpMpvNznO0pG1za7reuXPnmj1/HgAAALhRRkaGunfvftPXfTrQW61WrV27Vvn5+aqoqFBsbKyefPJJjR492tnm0KFDWrhwocvNpKdOndLvfvc7/e1vf5PValWPHj00evRoJScnu6w339K2za3pena7XRcuXJDZbFZAQICBnw4AAAA6MofDIavVqqioqCYXavHpQA8AAACgaT67Dj0AAACAWyPQAwAAAO0YgR4AAABox3x22UqgKVarVZmZmS43JycnJ9/05uSm7Ny50/ncgY0bN7ZCtWgpT/r3wIEDys3NVVFRkc6dO6dOnTopISFBM2bMaPAMCrQeT/rQyOsbrcPdPuL69H1GXX/8bm1bBHq0S+np6Tp69Khmz56tmJgY/c///I+WLVsmu93e6PKhN3P+/HllZGQoKirKK2vaonGe9O+OHTtUUVGhyZMn66677lJ5ebnef/99zZ8/X7/+9a81ZMiQtnkTfs6TPjTq+kbrcbePuD59nxHXH79b2x6BHu3Ovn37VFhYqPnz52vMmDGSpMGDB6usrEwZGRkaNWqUy5N8m/LGG28oMTFRnTt3VkFBQWuWjWbytH/nzp2rbt26uWwbOnSoUlNTtXHjRgJDG/CkD428vtE6POkjrk/fZtT1x+/WtsccerQ7e/bskdls1siRI122jx07VhcuXFBJSUmzjrN7924dPnxYP/3pT1ujTLjJ0/69MSxIktlsVq9evXTu3DlDa0XjPOlDo65vtB5P+ojr07cZcf3xu9U7CPRod0pLSxUbG9tglKB3797O12/l0qVLevvttzV79uwmn7yGtmdE/97oypUrOnbsmHr16mVEibgFT/qwNfofxjK6j7g+fYenfcvvVu8h0KPdqaioUERERIPt9dsqKipueYw333xTsbGxmjhxouH1wTNG9O+NVq1aperqaj311FMe14db86QPW6P/YSyj+4jr03d42rf8bvUe5tDDqw4dOqSFCxc2q+2KFSvUp08fj8/5ySefaO/evVqxYoUCAgI8Ph5uzhv9e6PMzEzl5ubqxRdfZBUNwMdwfXYc/G71LgI9vComJkY/+9nPmtW2R48ekq6NFDQ2SlC/rbHRhXpWq1WrVq1SUlKSoqKiVFlZKUmqq6uTJFVWVio4OFhhYWEteh9oXFv3742ys7O1YcMG/eQnP1FSUlKz94NnPOlDI/sfrcOoPuL69D3u9i2/W72PQA+vioqK0qOPPtqifXr37q28vDzZbDaXeX71c/vi4uJuum95ebkuXbqkLVu2aMuWLQ1eT0lJ0fDhw7Vo0aIW1YTGtXX/Xi87O1vr1q3TzJkz+VN+G/OkD43qf7QeI/qI69M3udu3/G71PgI92p0RI0Zo586dKigo0KhRo5zbd+3apaioKPXr1++m+0ZGRio9Pb3B9k2bNunw4cNasmSJunTp0ip1o3k86d9669ev17p16zR9+nSlpKS0ZrlohCd9aET/o3V52kdcn77L3b7ld6v3BS1ZsmSJt4sAWuLOO+9UUVGRdu7cqYiICFVVVWnjxo3Kz8/XP/3TP7nMwz506JBSU1MlSYMGDVJQUJBuv/32Bv8KCwv13Xff6Wc/+1mjy6qh7XjSv5L0/vvv649//KOGDh2qRx99VOfOnXP5x8oLra+5fdhY/7Wk/+EdnvQv16dvc7dv+d3qfYzQo11auHCh1q5dq6ysLOejqRcsWNDoo6ntdrscDocXqoS7POnfvXv3SpL279+v/fv3N2ifk5PTeoXDqbl92Nj12ZL+h3e4279cn77Pk2sX3hPgoDcAAACAdot16AEAAIB2jEAPAAAAtGMEegAAAKAdI9ADAAAA7RiBHgAAAGjHCPQAAABAO0agBwAAANoxHiwFAHCaNGmSy38HBAQoPDxccXFxeuSRRzR+/HgFBAQ4X/+v//ovffTRR0pPT3c+DRQA0LYI9ACABh555BFJ154GeebMGRUVFenrr7/WwYMHtWDBAi9XBwC4HoEeANDAvHnzXP77yy+/1K9//Wvl5eVpzJgxeuCBB7xUGQDgRsyhBwDc0v3336+HH35YkvTpp596uRoAwPUYoQcANEufPn0kSefOnWv09cOHDys7O1tHjx6VJCUmJmrOnDnq1auXS7vKykrt3r1bn3/+ub777jtdvHhRZrNZCQkJmjp1qu6///4Gx66urtaf//xn5eXlqaysTDabTd26dVPfvn01fvx4DR061KW91WrVli1b9Mknn+j7779XUFCQ+vTpoylTpujBBx804uMAAJ9BoAcANIvVapUkmUymBq/t3btX27ZtU1xcnO6//36VlpZq3759OnLkiN544w1FRkY62x45ckS///3v1b17d8XExGjAgAH63//9X3355Zf68ssv9c///M8aN26cs73NZtPixYtVVFSk7t27695771VwcLDOnz+vzz//XKGhoS6B/uLFi/rlL3+pkydP6rbbbtP999+vq1evqri4WOnp6XrmmWf05JNPtuInBQBti0APALglh8Ohzz//XJLUu3fvBq9v27ZNaWlpGjNmjKRrIXzp0qUqKCjQ9u3bNWvWLGfbmJgYLV26VPfcc4/LMY4dO6Zf/vKXWr16tUaOHCmz2SxJ+vrrr1VUVKThw4dr4cKFCgz8+2zRK1eu6Pvvv3c5zooVK3Ty5Ek98cQTmjVrloKDr/2qO3PmjBYvXqzMzEwNGzZMd999t+cfDAD4AObQAwBuymaz6fTp01qxYoWKi4tlMpk0duzYBu1Gjx7tDPOSFBQU5BwF/+qrr1za3nHHHQ3CvCT17dtXFotFVVVVOnTokHP7pUuXJEmDBg1yCfOS1KlTJ8XHxzv/+9tvv9UXX3yhe+65R7Nnz3aG+frzPvfcc7Lb7frwww9b8jEAgE9jhB4A0MCN69FLktls1rx58xQdHd3gtcbmvcfExEi6NgXmRjabTQcOHFBxcbEuXryompoaSXKOtp8+fdrZtk+fPgoMDNSf/vQnRUZGatiwYQoPD2+07sLCQknS8OHDXdbLrzdw4EBJcs7zB4COgEAPAGigfh36wMBA54OlHnroIXXu3LnR9t27d2+wrX7KTG1trcv2c+fO6Te/+Y2OHz9+0/PXz9eXrn0xmDNnjt59910tW7ZMgYGBiouL05AhQzR27FjFxcU52549e1aS9M477+idd9656fHLy8tv+hoAtDcEegBAAzeuQ38rjY2G38zvfvc7HT9+XA8++KCSk5MVExMjs9mswMBAffDBB3rjjTfkcDhc9pk6dar+4R/+QZ9++qkKCwv11VdfacuWLdq2bZtSU1NlsVgkXXsQlnRthZ3bb7/9pjV06dKlRe8PAHwZgR4A0Gaqq6tVWFiobt266Re/+IWCgoJcXj9z5sxN9+3Ro4cmTZqkSZMmyWazKS8vTytWrNDq1as1ZswYde7c2fmXgoceekiTJ09u1fcCAL6Cm2IBAG3mypUrstvtioqKahDmbTZbsx9aFRQUpIcfflgJCQmqq6tzzrkfMmSIJOmzzz4ztnAA8GEEegBAm+nWrZs6deqk0tJSff31187tNptNGRkZOnXqVIN9Dh48qMLCQud0mnplZWU6efKkAgICdNttt0mSBgwYoCFDhujgwYN6++23XebiS9em5Ozfv7/ByjsA0J4x5QYA0GaCgoL0+OOPa+3atfr3f/93DR48WBERETpy5IguXboki8Wi7du3u+xz/PhxrV69Wl27dlXfvn3VpUsXXb58WV999ZVqamo0efJkZ6CXpJdeekmLFy/Wtm3btHv3bt19993q2rWrzp8/r1OnTuny5ct6/vnnlZiY2NZvHwBaBYEeANCmnnrqKXXv3l1bt25VUVGRQkJCNHDgQD399NM6duxYg/Y//OEPVVFRoYMHD+rEiRMqLy9X165dNXDgQE2cOFEPPvigS/vIyEj99re/1Y4dO5Sfn6+jR4+qrq5OkZGR6tOnj4YPH66RI0e21dsFgFYX4LhxKQEAAAAA7QZz6AEAAIB2jEAPAAAAtGMEegAAAKAdI9ADAAAA7RiBHgAAAGjHCPQAAABAO0agBwAAANoxAj0AAADQjhHoAQAAgHaMQA8AAAC0YwR6AAAAoB0j0AMAAADtGIEeAAAAaMf+Pz/BWfxSWH2KAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "folded_lc = flat_lc.fold(period=3.5225)\n", "folded_lc.plot();" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "binned_lc = folded_lc.bin(binsize=10)\n", "binned_lc.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Or we can do these all in a single (long) line!" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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