{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "pWS6oL4-dz6G"
   },
   "source": [
    "# Combining multiple quarters of *Kepler* data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "kvwmGwXod-ez"
   },
   "source": [
    "## Learning Goals\n",
    "\n",
    "By the end of this tutorial, you will: \n",
    "\n",
    "- Understand a *Kepler* Quarter.\n",
    "- Understand how to download multiple quarters of data at once.\n",
    "- Learn how to normalize *Kepler* data.\n",
    "- Understand how to combine multiple quarters of data.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "jbksIHc6ebWv"
   },
   "source": [
    "## Introduction"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "PSZ_8PvYe9_L"
   },
   "source": [
    "The [*Kepler*](https://archive.stsci.edu/kepler), [*K2*](https://archive.stsci.edu/k2), and [*TESS*](https://archive.stsci.edu/tess) telescopes observe stars for long periods of time. These long, time series observations are broken up into separate chunks, called quarters for the *Kepler* mission, campaigns for *K2*, and sectors for *TESS*.\n",
    "\n",
    "Building light curves with as much data as is available is useful when searching for small signals, such as planetary transits or stellar pulsations. In this tutorial, we will learn how to use Lightkurve's tools to download and stitch together multiple quarters of *Kepler* observations.\n",
    "\n",
    "It is recommended to first read the tutorial discussing how to use *Kepler* light curve products with Lightkurve. That tutorial will introduce you to some specifics of how *Kepler*, *K2*, and *TESS* make observations, and how these are displayed as light curves. It also introduces some important terms and concepts that are referred to in this tutorial.\n",
    "\n",
    "This tutorial demonstrates how to access and combine multiple quarters of data from the *Kepler* space telescope, using the Lightkurve package.\n",
    "\n",
    "When accessing *Kepler* data through MAST, it will be stored in three-month chunks, corresponding to a quarter of observations. By combining and normalizing these separate observations, you can form a single light curve that spans all observed quarters. Utilizing all of the data available is especially important when looking at repeating signals, such as planet transits and stellar oscillations.\n",
    "\n",
    "We will use the *Kepler* mission as an example, but these tools are extensible to *TESS* and *K2* as well."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "0wEdptxneRHW"
   },
   "source": [
    "## Imports\n",
    "This tutorial requires the [**Lightkurve**](http://docs.lightkurve.org/) package, which in turn uses `matplotlib` for plotting."
   ]
  },
  {
   "cell_type": "code",
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    "execution": {
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   "source": [
    "import lightkurve as lk\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "UEQFmg6I0_ug"
   },
   "source": [
    "## 1. What is a *Kepler* Quarter?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "xjaRMY6h5KUp"
   },
   "source": [
    "In order to search for planets around other stars, the *Kepler* space telescope performed near-continuous monitoring of a single field of view, from an Earth-trailing orbit. However, this posed a challenge. If the space telescope is trailing Earth and maintaining steady pointing, its solar panels would slowly receive less and less sunlight.\n",
    "\n",
    "In order to make sure the solar panels remained oriented towards the Sun, *Kepler* performed quarterly rolls, one every 93 days. The infographic below helps visualize this, and shows the points in the orbit where the rolls took place.\n",
    "\n",
    "After each roll, *Kepler* retained its fine-pointing at the same field of view. Because the camera rotated by 90 degrees, all of the target stars fell on different parts of the charge-coupled device (CCD) camera. This had an effect on the amount of flux recorded for the same star, because different CCD pixels have different sensitivities. The way in which the flux from the same stars was distributed on the CCD (called the point spread function or PSF) also changed after each roll, due to focus changes and other instrumental effects. As a result, the aperture mask set for a star had to be recomputed after each roll, and may capture slightly different amounts of flux. \n",
    "\n",
    "The data obtained between rolls is referred to as a quarter. While there are changes to the flux *systematics*, not much else changes quarter to quarter, and the majority of the target list remains identical. This means that, after removing systematic trends (such as was done for the presearch data conditioning simple aperture photometry (PDCSAP) flux), multiple quarters together can form one continuous observation.\n",
    "\n",
    "<!-- ![](https://keplergo.arc.nasa.gov/images/program/Orbit_Mar5_09L.gif) -->\n",
    "<img src=\"https://upload.wikimedia.org/wikipedia/commons/thumb/8/84/Kepler_space_telescope_orbit.png/800px-Kepler_space_telescope_orbit.png\" width=\"800\">\n",
    "\n",
    "*Figure*: Infographic showcasing the necessity of *Kepler*'s quarterly rolls and its Earth-trailing orbit. Source: [Kepler Science Center](https://keplergo.arc.nasa.gov/ExtendedMissionOverview.shtml)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "iJ6UwtaVMkc9"
   },
   "source": [
    "**Note**:\n",
    "Observations by *K2* and *TESS* are also broken down into chunks of a month or more, called campaigns (for *K2*) and sectors (for *TESS*). While not discussed in this tutorial, the tools below work for these data products as well."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "P-YzWvbEgS-F"
   },
   "source": [
    "## 2. Downloading Multiple `KeplerLightCurve` Objects at Once"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "wNT61D9ugYzF"
   },
   "source": [
    "To start, we can use Lightkurve's [search_lightcurve()](https://docs.lightkurve.org/reference/api/lightkurve.search_lightcurve.html?highlight=search_lightcurve) function to see what data are available for our target star on the [Mikulski Archive for Space Telescopes](https://archive.stsci.edu/kepler/) (MAST) archive. We will use the star [Kepler-8](http://www.openexoplanetcatalogue.com/planet/Kepler-8%20b/), a star somewhat larger than the Sun, and the host of a [hot Jupiter planet](https://en.wikipedia.org/wiki/Hot_Jupiter). "
   ]
  },
  {
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    {
     "data": {
      "text/html": [
       "SearchResult containing 18 data products.\n",
       "\n",
       "<table id=\"table11128045280\">\n",
       "<thead><tr><th>#</th><th>mission</th><th>year</th><th>author</th><th>exptime</th><th>target_name</th><th>distance</th></tr></thead>\n",
       "<thead><tr><th></th><th></th><th></th><th></th><th>s</th><th></th><th>arcsec</th></tr></thead>\n",
       "<tr><td>0</td><td>Kepler Quarter 00</td><td>2009</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr006922244</td><td>0.0</td></tr>\n",
       "<tr><td>1</td><td>Kepler Quarter 01</td><td>2009</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr006922244</td><td>0.0</td></tr>\n",
       "<tr><td>2</td><td>Kepler Quarter 02</td><td>2009</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr006922244</td><td>0.0</td></tr>\n",
       "<tr><td>3</td><td>Kepler Quarter 03</td><td>2009</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr006922244</td><td>0.0</td></tr>\n",
       "<tr><td>4</td><td>Kepler Quarter 04</td><td>2010</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr006922244</td><td>0.0</td></tr>\n",
       "<tr><td>5</td><td>Kepler Quarter 05</td><td>2010</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr006922244</td><td>0.0</td></tr>\n",
       "<tr><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td></tr>\n",
       "<tr><td>11</td><td>Kepler Quarter 11</td><td>2012</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr006922244</td><td>0.0</td></tr>\n",
       "<tr><td>12</td><td>Kepler Quarter 12</td><td>2012</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr006922244</td><td>0.0</td></tr>\n",
       "<tr><td>13</td><td>Kepler Quarter 13</td><td>2012</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr006922244</td><td>0.0</td></tr>\n",
       "<tr><td>14</td><td>Kepler Quarter 14</td><td>2012</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr006922244</td><td>0.0</td></tr>\n",
       "<tr><td>15</td><td>Kepler Quarter 16</td><td>2013</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr006922244</td><td>0.0</td></tr>\n",
       "<tr><td>16</td><td>Kepler Quarter 15</td><td>2013</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr006922244</td><td>0.0</td></tr>\n",
       "<tr><td>17</td><td>Kepler Quarter 17</td><td>2013</td><td><a href='https://archive.stsci.edu/kepler/data_products.html'>Kepler</a></td><td>1800</td><td>kplr006922244</td><td>0.0</td></tr>\n",
       "</table>\n",
       "Length = 18 rows"
      ],
      "text/plain": [
       "SearchResult containing 18 data products.\n",
       "\n",
       " #       mission      year author exptime  target_name  distance\n",
       "                                     s                   arcsec \n",
       "--- ----------------- ---- ------ ------- ------------- --------\n",
       "  0 Kepler Quarter 00 2009 Kepler    1800 kplr006922244      0.0\n",
       "  1 Kepler Quarter 01 2009 Kepler    1800 kplr006922244      0.0\n",
       "  2 Kepler Quarter 02 2009 Kepler    1800 kplr006922244      0.0\n",
       "  3 Kepler Quarter 03 2009 Kepler    1800 kplr006922244      0.0\n",
       "  4 Kepler Quarter 04 2010 Kepler    1800 kplr006922244      0.0\n",
       "  5 Kepler Quarter 05 2010 Kepler    1800 kplr006922244      0.0\n",
       "...               ...  ...    ...     ...           ...      ...\n",
       " 11 Kepler Quarter 11 2012 Kepler    1800 kplr006922244      0.0\n",
       " 12 Kepler Quarter 12 2012 Kepler    1800 kplr006922244      0.0\n",
       " 13 Kepler Quarter 13 2012 Kepler    1800 kplr006922244      0.0\n",
       " 14 Kepler Quarter 14 2012 Kepler    1800 kplr006922244      0.0\n",
       " 15 Kepler Quarter 16 2013 Kepler    1800 kplr006922244      0.0\n",
       " 16 Kepler Quarter 15 2013 Kepler    1800 kplr006922244      0.0\n",
       " 17 Kepler Quarter 17 2013 Kepler    1800 kplr006922244      0.0\n",
       "Length = 18 rows"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "search_result = lk.search_lightcurve(\"Kepler-8\", author=\"Kepler\", cadence=\"long\")\n",
    "search_result"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "de-_j_QMh7JH"
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   "source": [
    "In this list, each row represents a different observing quarter, for a total of 18 quarters across four years. The **observation** column lists the *Kepler* Quarter. The **target_name** represents the *Kepler* Input Catalogue (KIC) ID of the target, and the **productFilename** column is the name of the FITS files downloaded from MAST. The **distance** column shows the separation on the sky between the searched coordinates and the downloaded objects — this is only relevant when searching for specific coordinates in the sky, and not when looking for individual objects.\n",
    "\n",
    "Instead of downloading a single quarter using the [download()](https://docs.lightkurve.org/reference/api/lightkurve.SearchResult.download.html?highlight=download#lightkurve.SearchResult.download) function, we can use the [download_all()](https://docs.lightkurve.org/reference/api/lightkurve.SearchResult.download_all.html?highlight=download_all) function to access all 18 quarters at once (this might take a while)."
   ]
  },
  {
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    {
     "data": {
      "text/plain": [
       "LightCurveCollection of 18 objects:\n",
       "    0: <KeplerLightCurve LABEL=\"KIC 6922244\" QUARTER=0 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux>\n",
       "    1: <KeplerLightCurve LABEL=\"KIC 6922244\" QUARTER=1 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux>\n",
       "    2: <KeplerLightCurve LABEL=\"KIC 6922244\" QUARTER=2 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux>\n",
       "    3: <KeplerLightCurve LABEL=\"KIC 6922244\" QUARTER=3 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux>\n",
       "    4: <KeplerLightCurve LABEL=\"KIC 6922244\" QUARTER=4 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux>\n",
       "    5: <KeplerLightCurve LABEL=\"KIC 6922244\" QUARTER=5 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux>\n",
       "    6: <KeplerLightCurve LABEL=\"KIC 6922244\" QUARTER=6 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux>\n",
       "    7: <KeplerLightCurve LABEL=\"KIC 6922244\" QUARTER=7 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux>\n",
       "    8: <KeplerLightCurve LABEL=\"KIC 6922244\" QUARTER=10 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux>\n",
       "    9: <KeplerLightCurve LABEL=\"KIC 6922244\" QUARTER=8 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux>\n",
       "    10: <KeplerLightCurve LABEL=\"KIC 6922244\" QUARTER=9 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux>\n",
       "    11: <KeplerLightCurve LABEL=\"KIC 6922244\" QUARTER=11 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux>\n",
       "    12: <KeplerLightCurve LABEL=\"KIC 6922244\" QUARTER=12 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux>\n",
       "    13: <KeplerLightCurve LABEL=\"KIC 6922244\" QUARTER=13 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux>\n",
       "    14: <KeplerLightCurve LABEL=\"KIC 6922244\" QUARTER=14 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux>\n",
       "    15: <KeplerLightCurve LABEL=\"KIC 6922244\" QUARTER=16 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux>\n",
       "    16: <KeplerLightCurve LABEL=\"KIC 6922244\" QUARTER=15 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux>\n",
       "    17: <KeplerLightCurve LABEL=\"KIC 6922244\" QUARTER=17 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lc_collection = search_result.download_all()\n",
    "lc_collection"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "S-RmBfXKiOaQ"
   },
   "source": [
    "All of the downloaded data are stored in a `LightCurveCollection`. This object acts as a wrapper for 18 separate `KeplerLightCurve` objects, listed above. \n",
    "\n",
    "We can access the `KeplerLightCurve` objects and interact with them as usual through the `LightCurveCollection`."
   ]
  },
  {
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    {
     "data": {
      "text/html": [
       "<div><i>KeplerLightCurve length=4116 LABEL=&quot;KIC 6922244&quot; QUARTER=4 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux</i>\n",
       "<table id=\"table11133664032\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>time</th><th>flux</th><th>flux_err</th><th>quality</th><th>timecorr</th><th>centroid_col</th><th>centroid_row</th><th>cadenceno</th><th>sap_flux</th><th>sap_flux_err</th><th>sap_bkg</th><th>sap_bkg_err</th><th>pdcsap_flux</th><th>pdcsap_flux_err</th><th>sap_quality</th><th>psf_centr1</th><th>psf_centr1_err</th><th>psf_centr2</th><th>psf_centr2_err</th><th>mom_centr1</th><th>mom_centr1_err</th><th>mom_centr2</th><th>mom_centr2_err</th><th>pos_corr1</th><th>pos_corr2</th></tr></thead>\n",
       "<thead><tr><th></th><th>electron / s</th><th>electron / s</th><th></th><th>d</th><th>pix</th><th>pix</th><th></th><th>electron / s</th><th>electron / s</th><th>electron / s</th><th>electron / s</th><th>electron / s</th><th>electron / s</th><th></th><th>pix</th><th>pix</th><th>pix</th><th>pix</th><th>pix</th><th>pix</th><th>pix</th><th>pix</th><th>pix</th><th>pix</th></tr></thead>\n",
       "<thead><tr><th>Time</th><th>float32</th><th>float32</th><th>int32</th><th>float32</th><th>float64</th><th>float64</th><th>int32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>int32</th><th>float64</th><th>float32</th><th>float64</th><th>float32</th><th>float64</th><th>float32</th><th>float64</th><th>float32</th><th>float32</th><th>float32</th></tr></thead>\n",
       "<tr><td>352.37632485035283</td><td>———</td><td>———</td><td>0</td><td>-1.410670e-03</td><td>682.69125</td><td>190.13296</td><td>11914</td><td>4.3689148e+04</td><td>6.6459765e+00</td><td>1.6722699e+03</td><td>4.6767941e-01</td><td>———</td><td>———</td><td>0</td><td>682.60927</td><td>7.8001787e-05</td><td>190.36814</td><td>1.1752916e-04</td><td>682.69125</td><td>1.8638317e-04</td><td>190.13296</td><td>1.8306405e-04</td><td>9.8764673e-02</td><td>-1.7217098e-01</td></tr>\n",
       "<tr><td>352.3967580484896</td><td>5.2490750e+04</td><td>8.0003128e+00</td><td>10000000000000</td><td>-1.411072e-03</td><td>682.69084</td><td>190.13270</td><td>11915</td><td>4.3698070e+04</td><td>6.6462421e+00</td><td>1.6698400e+03</td><td>4.6764868e-01</td><td>5.2490750e+04</td><td>8.0003128e+00</td><td>10000000000000</td><td>682.60900</td><td>7.7997785e-05</td><td>190.36777</td><td>1.1751152e-04</td><td>682.69084</td><td>1.8633612e-04</td><td>190.13270</td><td>1.8303936e-04</td><td>9.8700106e-02</td><td>-1.7229939e-01</td></tr>\n",
       "<tr><td>352.4376244455707</td><td>5.2484055e+04</td><td>7.9999790e+00</td><td>10000</td><td>-1.411874e-03</td><td>682.69038</td><td>190.13302</td><td>11917</td><td>4.3694105e+04</td><td>6.6461620e+00</td><td>1.6731306e+03</td><td>4.6705514e-01</td><td>5.2484055e+04</td><td>7.9999790e+00</td><td>10000</td><td>682.60862</td><td>7.7994831e-05</td><td>190.36848</td><td>1.1754913e-04</td><td>682.69038</td><td>1.8634219e-04</td><td>190.13302</td><td>1.8301954e-04</td><td>9.8306537e-02</td><td>-1.7180158e-01</td></tr>\n",
       "<tr><td>352.45805764463876</td><td>5.2491809e+04</td><td>8.0006199e+00</td><td>0</td><td>-1.412275e-03</td><td>682.69084</td><td>190.13257</td><td>11918</td><td>4.3698316e+04</td><td>6.6463132e+00</td><td>1.6741406e+03</td><td>4.6687824e-01</td><td>5.2491809e+04</td><td>8.0006199e+00</td><td>0</td><td>682.60872</td><td>7.7998680e-05</td><td>190.36792</td><td>1.1751390e-04</td><td>682.69084</td><td>1.8635279e-04</td><td>190.13257</td><td>1.8304381e-04</td><td>9.8410256e-02</td><td>-1.7202987e-01</td></tr>\n",
       "<tr><td>352.4784908439324</td><td>5.2478277e+04</td><td>7.9992733e+00</td><td>0</td><td>-1.412676e-03</td><td>682.68949</td><td>190.13304</td><td>11919</td><td>4.3687648e+04</td><td>6.6459165e+00</td><td>1.6723815e+03</td><td>4.6764576e-01</td><td>5.2478277e+04</td><td>7.9992733e+00</td><td>0</td><td>682.60829</td><td>7.7993544e-05</td><td>190.36814</td><td>1.1756293e-04</td><td>682.68949</td><td>1.8641398e-04</td><td>190.13304</td><td>1.8308057e-04</td><td>9.8039381e-02</td><td>-1.7183834e-01</td></tr>\n",
       "<tr><td>352.4989240434661</td><td>5.2475855e+04</td><td>7.9986620e+00</td><td>0</td><td>-1.413077e-03</td><td>682.69036</td><td>190.13318</td><td>11920</td><td>4.3686480e+04</td><td>6.6458707e+00</td><td>1.6734375e+03</td><td>4.6817183e-01</td><td>5.2475855e+04</td><td>7.9986620e+00</td><td>0</td><td>682.60852</td><td>7.7998702e-05</td><td>190.36875</td><td>1.1761812e-04</td><td>682.69036</td><td>1.8637831e-04</td><td>190.13318</td><td>1.8304847e-04</td><td>9.8102726e-02</td><td>-1.7151666e-01</td></tr>\n",
       "<tr><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td></tr>\n",
       "<tr><td>442.1013323661464</td><td>5.2484648e+04</td><td>7.9707704e+00</td><td>0</td><td>-3.378539e-04</td><td>682.49086</td><td>190.34446</td><td>16305</td><td>4.3164066e+04</td><td>6.6142449e+00</td><td>1.4996798e+03</td><td>4.6686992e-01</td><td>5.2484648e+04</td><td>7.9707704e+00</td><td>0</td><td>682.42295</td><td>7.3321760e-05</td><td>190.68497</td><td>9.3209848e-05</td><td>682.49086</td><td>1.8497877e-04</td><td>190.34446</td><td>1.8690305e-04</td><td>-7.9818368e-02</td><td>1.3874538e-01</td></tr>\n",
       "<tr><td>442.1217667319579</td><td>5.2479809e+04</td><td>7.9702587e+00</td><td>10000000000000</td><td>-3.370880e-04</td><td>682.49145</td><td>190.34413</td><td>16306</td><td>4.3160660e+04</td><td>6.6141462e+00</td><td>1.4999071e+03</td><td>4.6648329e-01</td><td>5.2479809e+04</td><td>7.9702587e+00</td><td>10000000000000</td><td>682.42312</td><td>7.3320341e-05</td><td>190.68516</td><td>9.3171802e-05</td><td>682.49145</td><td>1.8498853e-04</td><td>190.34413</td><td>1.8685416e-04</td><td>-7.9732254e-02</td><td>1.3886212e-01</td></tr>\n",
       "<tr><td>442.1422009979142</td><td>5.2475605e+04</td><td>7.9712372e+00</td><td>0</td><td>-3.363221e-04</td><td>682.49124</td><td>190.34487</td><td>16307</td><td>4.3157629e+04</td><td>6.6139336e+00</td><td>1.4981315e+03</td><td>4.6694338e-01</td><td>5.2475605e+04</td><td>7.9712372e+00</td><td>0</td><td>682.42282</td><td>7.3328265e-05</td><td>190.68556</td><td>9.3097420e-05</td><td>682.49124</td><td>1.8495553e-04</td><td>190.34487</td><td>1.8686226e-04</td><td>-7.9895072e-02</td><td>1.3914314e-01</td></tr>\n",
       "<tr><td>442.16263546398113</td><td>5.2475305e+04</td><td>7.9707313e+00</td><td>0</td><td>-3.355560e-04</td><td>682.49104</td><td>190.34460</td><td>16308</td><td>4.3155801e+04</td><td>6.6138582e+00</td><td>1.4982946e+03</td><td>4.6778497e-01</td><td>5.2475305e+04</td><td>7.9707313e+00</td><td>0</td><td>682.42288</td><td>7.3337091e-05</td><td>190.68500</td><td>9.3226627e-05</td><td>682.49104</td><td>1.8501762e-04</td><td>190.34460</td><td>1.8689682e-04</td><td>-7.9854071e-02</td><td>1.3877387e-01</td></tr>\n",
       "<tr><td>442.1830698302001</td><td>5.2465984e+04</td><td>7.9693055e+00</td><td>0</td><td>-3.347898e-04</td><td>682.49114</td><td>190.34490</td><td>16309</td><td>4.3148465e+04</td><td>6.6134605e+00</td><td>1.4987802e+03</td><td>4.6625513e-01</td><td>5.2465984e+04</td><td>7.9693055e+00</td><td>0</td><td>682.42267</td><td>7.3346317e-05</td><td>190.68542</td><td>9.3117917e-05</td><td>682.49114</td><td>1.8503764e-04</td><td>190.34490</td><td>1.8691395e-04</td><td>-7.9959184e-02</td><td>1.3906266e-01</td></tr>\n",
       "<tr><td>442.20350409652747</td><td>5.2471043e+04</td><td>7.9698005e+00</td><td>0</td><td>-3.340235e-04</td><td>682.49069</td><td>190.34464</td><td>16310</td><td>4.3151559e+04</td><td>6.6137042e+00</td><td>1.4977747e+03</td><td>4.6697757e-01</td><td>5.2471043e+04</td><td>7.9698005e+00</td><td>0</td><td>682.42272</td><td>7.3345473e-05</td><td>190.68528</td><td>9.3169489e-05</td><td>682.49069</td><td>1.8501126e-04</td><td>190.34464</td><td>1.8690964e-04</td><td>-7.9990946e-02</td><td>1.3905971e-01</td></tr>\n",
       "</table></div>"
      ],
      "text/plain": [
       "<KeplerLightCurve length=4116 LABEL=\"KIC 6922244\" QUARTER=4 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux>\n",
       "       time             flux      ...   pos_corr1      pos_corr2   \n",
       "                    electron / s  ...      pix            pix      \n",
       "       Time           float32     ...    float32        float32    \n",
       "------------------ -------------- ... -------------- --------------\n",
       "352.37632485035283            ——— ...  9.8764673e-02 -1.7217098e-01\n",
       " 352.3967580484896  5.2490750e+04 ...  9.8700106e-02 -1.7229939e-01\n",
       " 352.4376244455707  5.2484055e+04 ...  9.8306537e-02 -1.7180158e-01\n",
       "352.45805764463876  5.2491809e+04 ...  9.8410256e-02 -1.7202987e-01\n",
       " 352.4784908439324  5.2478277e+04 ...  9.8039381e-02 -1.7183834e-01\n",
       " 352.4989240434661  5.2475855e+04 ...  9.8102726e-02 -1.7151666e-01\n",
       "               ...            ... ...            ...            ...\n",
       " 442.1013323661464  5.2484648e+04 ... -7.9818368e-02  1.3874538e-01\n",
       " 442.1217667319579  5.2479809e+04 ... -7.9732254e-02  1.3886212e-01\n",
       " 442.1422009979142  5.2475605e+04 ... -7.9895072e-02  1.3914314e-01\n",
       "442.16263546398113  5.2475305e+04 ... -7.9854071e-02  1.3877387e-01\n",
       " 442.1830698302001  5.2465984e+04 ... -7.9959184e-02  1.3906266e-01\n",
       "442.20350409652747  5.2471043e+04 ... -7.9990946e-02  1.3905971e-01"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lc_Q4 = lc_collection[4] \n",
    "lc_Q4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 387
    },
    "colab_type": "code",
    "execution": {
     "iopub.execute_input": "2023-11-03T14:12:47.282637Z",
     "iopub.status.busy": "2023-11-03T14:12:47.282513Z",
     "iopub.status.idle": "2023-11-03T14:12:47.524015Z",
     "shell.execute_reply": "2023-11-03T14:12:47.523635Z"
    },
    "executionInfo": {
     "elapsed": 43310,
     "status": "ok",
     "timestamp": 1598466306853,
     "user": {
      "displayName": "Geert Barentsen",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64",
      "userId": "05704237875861987058"
     },
     "user_tz": 420
    },
    "id": "w-KTcjk5jR3K",
    "outputId": "0bd635f5-f033-426e-9226-c9ebeed01da2"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 848.5x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lc_Q4.plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "xEQSm6E4kDRS"
   },
   "source": [
    "#### Note:\n",
    "The example given above also works for downloading target pixel files (TPFs). This will produce a `TargetPixelFileCollection` object instead."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "jghJAa5ckPLW"
   },
   "source": [
    "## 3. Investigating the Data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "vf6NDWeqk-4g"
   },
   "source": [
    "Let's first have a look at how these observations differ from one another. We can plot the simple aperture photometry (SAP) flux of all of the observations in the [`LightCurveCollection`](https://docs.lightkurve.org/reference/api/lightkurve.collections.LightCurveCollection.html#lightkurve.collections.LightCurveCollection) to see how they compare."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 387
    },
    "colab_type": "code",
    "execution": {
     "iopub.execute_input": "2023-11-03T14:12:47.526280Z",
     "iopub.status.busy": "2023-11-03T14:12:47.526082Z",
     "iopub.status.idle": "2023-11-03T14:12:47.751256Z",
     "shell.execute_reply": "2023-11-03T14:12:47.750615Z"
    },
    "executionInfo": {
     "elapsed": 43864,
     "status": "ok",
     "timestamp": 1598466307447,
     "user": {
      "displayName": "Geert Barentsen",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64",
      "userId": "05704237875861987058"
     },
     "user_tz": 420
    },
    "id": "WB55sn5z7myH",
    "outputId": "b8d1fcfc-be06-49fa-e41b-756bd7e44611"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 848.5x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = lc_collection[0].plot(column='sap_flux', label=None)\n",
    "for lc in lc_collection[1:]:\n",
    "    lc.plot(ax=ax, column='sap_flux', label=None)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "mzHYwsU1mEZN"
   },
   "source": [
    "In the figure above, each quarter of data looks strikingly different, with global patterns repeating every four quarters as *Kepler* has made a full rotation.\n",
    "\n",
    "The change in flux within each quarter is in part driven by changes in the telescope focus, which are caused by changes in the temperature of *Kepler*'s components as the spacecraft orbits the Sun. The changes are also caused by an effect called *differential velocity aberration* (DVA), which causes stars to drift over the course of a quarter, depending on their distance from the center of *Kepler*'s field of view.\n",
    "\n",
    "While the figure above looks messy, all the systematic effects mentioned above are well understood, and have been detrended in the PDCSAP flux. For a more detailed overview, see the [*Kepler* Data Characteristics Handbook](https://archive.stsci.edu/files/live/sites/mast/files/home/missions-and-data/kepler/_documents/Data_Characteristics.pdf), specifically: *Section 5. Ongoing Phenomena*."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "rghAhfNzqaR_"
   },
   "source": [
    "## 4. Normalizing a Light Curve"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "cof4vrNiobH9"
   },
   "source": [
    "If we want to see the actual variation of the targeted object over the course of these observations, the plot above isn't very useful to us. It is also not useful to have flux expressed in physical units, because it is affected by the observing conditions such as telescope focus and pointing (see above). \n",
    "\n",
    "Instead, it is a common practice to normalize light curves by dividing by their median value. This means that the median of the newly normalized light curve will be equal to 1, and that the relative size of signals in the observation (such as transits) will be maintained.\n",
    "\n",
    "A normalization can be performed using the [normalize()](https://docs.lightkurve.org/reference/api/lightkurve.LightCurve.normalize.html?highlight=normalize#lightkurve.LightCurve.normalize) method of a `KeplerLightCurve`, for example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 387
    },
    "colab_type": "code",
    "execution": {
     "iopub.execute_input": "2023-11-03T14:12:47.753741Z",
     "iopub.status.busy": "2023-11-03T14:12:47.753579Z",
     "iopub.status.idle": "2023-11-03T14:12:47.929089Z",
     "shell.execute_reply": "2023-11-03T14:12:47.928771Z"
    },
    "executionInfo": {
     "elapsed": 44414,
     "status": "ok",
     "timestamp": 1598466308014,
     "user": {
      "displayName": "Geert Barentsen",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64",
      "userId": "05704237875861987058"
     },
     "user_tz": 420
    },
    "id": "qN3F6nxilRVd",
    "outputId": "3d72e3f5-6de2-4e90-cb58-46c348459975"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 848.5x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lc_collection[4].normalize().plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "Nro9qhV3lT3f"
   },
   "source": [
    "In the figure above, we have plotted the normalized PDCSAP flux for Quarter 4. The median normalized flux is at 1, and the transit depths lie around 0.991, indicating a 0.9% dip in brightness due to the planet transiting the star."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "Zkip4rM8paC4"
   },
   "source": [
    "The `LightCurveCollection` also has a [plot()](https://docs.lightkurve.org/reference/api/lightkurve.FoldedLightCurve.plot.html?highlight=plot#lightkurve.FoldedLightCurve.plot) method. We can use it to plot the PDCSAP flux. The method automatically normalizes the flux in same way we did for a single quarter above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 387
    },
    "colab_type": "code",
    "execution": {
     "iopub.execute_input": "2023-11-03T14:12:47.931343Z",
     "iopub.status.busy": "2023-11-03T14:12:47.931196Z",
     "iopub.status.idle": "2023-11-03T14:12:48.406887Z",
     "shell.execute_reply": "2023-11-03T14:12:48.406566Z"
    },
    "executionInfo": {
     "elapsed": 45362,
     "status": "ok",
     "timestamp": 1598466308978,
     "user": {
      "displayName": "Geert Barentsen",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64",
      "userId": "05704237875861987058"
     },
     "user_tz": 420
    },
    "id": "7oyn8KpApjJf",
    "outputId": "129b53d3-6172-44a1-8590-6c24aa7cb906"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 848.5x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lc_collection.plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "ie7A1JRFpkEo"
   },
   "source": [
    "As you can see above, because we have normalized the data, all of the observations form a single consistent light curve."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "oU4wvbg6pqTc"
   },
   "source": [
    "## 5. Combining Multiple Observations into a Single Light Curve"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "28XuRx21qU21"
   },
   "source": [
    "Finally, we can combine these different light curves into a single `KeplerLightCurve` object. This is done using the `stitch()` method. This method concatenates all quarters in our `LightCurveCollection` together, and normalizes them at the same time, in the manner we saw above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 548
    },
    "colab_type": "code",
    "execution": {
     "iopub.execute_input": "2023-11-03T14:12:48.409016Z",
     "iopub.status.busy": "2023-11-03T14:12:48.408822Z",
     "iopub.status.idle": "2023-11-03T14:12:48.547608Z",
     "shell.execute_reply": "2023-11-03T14:12:48.547219Z"
    },
    "executionInfo": {
     "elapsed": 45353,
     "status": "ok",
     "timestamp": 1598466308986,
     "user": {
      "displayName": "Geert Barentsen",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64",
      "userId": "05704237875861987058"
     },
     "user_tz": 420
    },
    "id": "tdt-OSTVrgVL",
    "outputId": "a6aa34cc-eefe-4b35-d5b3-b8d4e62ff49f"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><i>KeplerLightCurve length=65504 LABEL=&quot;KIC 6922244&quot; QUARTER=17 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux</i>\n",
       "<table id=\"table11178266688\" class=\"table-striped table-bordered table-condensed\">\n",
       "<thead><tr><th>time</th><th>flux</th><th>flux_err</th><th>quality</th><th>timecorr</th><th>centroid_col</th><th>centroid_row</th><th>cadenceno</th><th>sap_flux</th><th>sap_flux_err</th><th>sap_bkg</th><th>sap_bkg_err</th><th>pdcsap_flux</th><th>pdcsap_flux_err</th><th>sap_quality</th><th>psf_centr1</th><th>psf_centr1_err</th><th>psf_centr2</th><th>psf_centr2_err</th><th>mom_centr1</th><th>mom_centr1_err</th><th>mom_centr2</th><th>mom_centr2_err</th><th>pos_corr1</th><th>pos_corr2</th></tr></thead>\n",
       "<thead><tr><th></th><th></th><th></th><th></th><th>d</th><th>pix</th><th>pix</th><th></th><th>electron / s</th><th>electron / s</th><th>electron / s</th><th>electron / s</th><th>electron / s</th><th>electron / s</th><th></th><th>pix</th><th>pix</th><th>pix</th><th>pix</th><th>pix</th><th>pix</th><th>pix</th><th>pix</th><th>pix</th><th>pix</th></tr></thead>\n",
       "<thead><tr><th>Time</th><th>float32</th><th>float32</th><th>int32</th><th>float32</th><th>float64</th><th>float64</th><th>int32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>float32</th><th>int32</th><th>float64</th><th>float32</th><th>float64</th><th>float32</th><th>float64</th><th>float32</th><th>float64</th><th>float32</th><th>float32</th><th>float32</th></tr></thead>\n",
       "<tr><td>120.53979406206781</td><td>1.0002389e+00</td><td>1.7835133e-04</td><td>0</td><td>1.641642e-03</td><td>676.76061</td><td>192.21102</td><td>568</td><td>4.0029211e+04</td><td>7.1942086e+00</td><td>1.3501000e+03</td><td>6.9019127e-01</td><td>4.9790078e+04</td><td>8.8780060e+00</td><td>0</td><td>———</td><td>———</td><td>———</td><td>———</td><td>676.76061</td><td>2.4257520e-04</td><td>192.21102</td><td>2.8915040e-04</td><td>-6.1361594e-03</td><td>1.2139007e-02</td></tr>\n",
       "<tr><td>120.56022845695406</td><td>1.0000123e+00</td><td>1.7952095e-04</td><td>0</td><td>1.642437e-03</td><td>676.76010</td><td>192.21002</td><td>569</td><td>4.0014566e+04</td><td>7.1924801e+00</td><td>1.3488469e+03</td><td>6.8939346e-01</td><td>4.9778801e+04</td><td>8.9362278e+00</td><td>0</td><td>———</td><td>———</td><td>———</td><td>———</td><td>676.76010</td><td>2.4263318e-04</td><td>192.21002</td><td>2.8926603e-04</td><td>-6.3053877e-03</td><td>1.1505429e-02</td></tr>\n",
       "<tr><td>120.58066275172314</td><td>9.9970073e-01</td><td>1.7981241e-04</td><td>0</td><td>1.643232e-03</td><td>676.76146</td><td>192.20988</td><td>570</td><td>4.0000406e+04</td><td>7.1918778e+00</td><td>1.3513733e+03</td><td>6.8988037e-01</td><td>4.9763289e+04</td><td>8.9507360e+00</td><td>0</td><td>———</td><td>———</td><td>———</td><td>———</td><td>676.76146</td><td>2.4270279e-04</td><td>192.20988</td><td>2.8932444e-04</td><td>-5.5118860e-03</td><td>1.1369802e-02</td></tr>\n",
       "<tr><td>120.60109724637005</td><td>1.0002698e+00</td><td>1.7900635e-04</td><td>0</td><td>1.644026e-03</td><td>676.76139</td><td>192.20938</td><td>571</td><td>4.0018668e+04</td><td>7.1936789e+00</td><td>1.3461132e+03</td><td>6.8999070e-01</td><td>4.9791617e+04</td><td>8.9106121e+00</td><td>0</td><td>———</td><td>———</td><td>———</td><td>———</td><td>676.76139</td><td>2.4260787e-04</td><td>192.20938</td><td>2.8922342e-04</td><td>-5.5788676e-03</td><td>1.0246177e-02</td></tr>\n",
       "<tr><td>120.62153164102347</td><td>1.0001223e+00</td><td>1.7974019e-04</td><td>0</td><td>1.644821e-03</td><td>676.76213</td><td>192.20898</td><td>572</td><td>4.0008617e+04</td><td>7.1923513e+00</td><td>1.3499850e+03</td><td>6.9054097e-01</td><td>4.9784277e+04</td><td>8.9471407e+00</td><td>0</td><td>———</td><td>———</td><td>———</td><td>———</td><td>676.76213</td><td>2.4259168e-04</td><td>192.20898</td><td>2.8918759e-04</td><td>-4.6821944e-03</td><td>1.0072310e-02</td></tr>\n",
       "<tr><td>120.6419659354433</td><td>9.9984479e-01</td><td>1.7990815e-04</td><td>0</td><td>1.645615e-03</td><td>676.76170</td><td>192.20871</td><td>573</td><td>3.9994742e+04</td><td>7.1914024e+00</td><td>1.3490905e+03</td><td>6.8729931e-01</td><td>4.9770461e+04</td><td>8.9555016e+00</td><td>0</td><td>———</td><td>———</td><td>———</td><td>———</td><td>676.76170</td><td>2.4268354e-04</td><td>192.20871</td><td>2.8930244e-04</td><td>-4.2848983e-03</td><td>9.4073853e-03</td></tr>\n",
       "<tr><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td><td>...</td></tr>\n",
       "<tr><td>1590.900002857561</td><td>9.9988633e-01</td><td>1.8179342e-04</td><td>0</td><td>1.018638e-03</td><td>676.80148</td><td>192.10108</td><td>72526</td><td>3.7831559e+04</td><td>6.9085450e+00</td><td>1.2787664e+03</td><td>5.9414190e-01</td><td>4.8594551e+04</td><td>8.8351736e+00</td><td>0</td><td>676.75930</td><td>1.4916631e-04</td><td>192.31896</td><td>1.9152595e-04</td><td>676.80148</td><td>2.5232948e-04</td><td>192.10108</td><td>2.5263420e-04</td><td>-4.0509203e-03</td><td>1.4821382e-02</td></tr>\n",
       "<tr><td>1590.9204372017994</td><td>9.9999821e-01</td><td>1.8173133e-04</td><td>0</td><td>1.019482e-03</td><td>676.80166</td><td>192.10131</td><td>72527</td><td>3.7836602e+04</td><td>6.9087906e+00</td><td>1.2786053e+03</td><td>5.9385866e-01</td><td>4.8599988e+04</td><td>8.8321562e+00</td><td>0</td><td>676.75946</td><td>1.4911903e-04</td><td>192.31899</td><td>1.9154462e-04</td><td>676.80166</td><td>2.5230341e-04</td><td>192.10131</td><td>2.5262410e-04</td><td>-4.0993756e-03</td><td>1.4611045e-02</td></tr>\n",
       "<tr><td>1590.9408717461629</td><td>9.9969560e-01</td><td>1.8179418e-04</td><td>0</td><td>1.020326e-03</td><td>676.80144</td><td>192.10146</td><td>72528</td><td>3.7825430e+04</td><td>6.9083652e+00</td><td>1.2797456e+03</td><td>5.9316140e-01</td><td>4.8585281e+04</td><td>8.8352108e+00</td><td>0</td><td>676.75953</td><td>1.4916577e-04</td><td>192.31908</td><td>1.9160371e-04</td><td>676.80144</td><td>2.5239564e-04</td><td>192.10146</td><td>2.5271456e-04</td><td>-3.9369571e-03</td><td>1.4928485e-02</td></tr>\n",
       "<tr><td>1590.9613061904092</td><td>9.9994302e-01</td><td>1.8176372e-04</td><td>0</td><td>1.021170e-03</td><td>676.80124</td><td>192.10091</td><td>72529</td><td>3.7834938e+04</td><td>6.9087672e+00</td><td>1.2764705e+03</td><td>5.9434044e-01</td><td>4.8597305e+04</td><td>8.8337307e+00</td><td>0</td><td>676.75914</td><td>1.4914536e-04</td><td>192.31884</td><td>1.9145805e-04</td><td>676.80124</td><td>2.5227590e-04</td><td>192.10091</td><td>2.5260207e-04</td><td>-4.1014180e-03</td><td>1.4680510e-02</td></tr>\n",
       "<tr><td>1590.9817405346475</td><td>1.0001228e+00</td><td>1.8151020e-04</td><td>0</td><td>1.022015e-03</td><td>676.80224</td><td>192.10165</td><td>72530</td><td>3.7828816e+04</td><td>6.9086733e+00</td><td>1.2774485e+03</td><td>5.9289569e-01</td><td>4.8606039e+04</td><td>8.8214092e+00</td><td>0</td><td>676.75981</td><td>1.4909096e-04</td><td>192.31980</td><td>1.9197758e-04</td><td>676.80224</td><td>2.5231845e-04</td><td>192.10165</td><td>2.5264811e-04</td><td>-3.6829417e-03</td><td>1.6025381e-02</td></tr>\n",
       "<tr><td>1591.0021750787782</td><td>9.9999636e-01</td><td>1.8174112e-04</td><td>0</td><td>1.022859e-03</td><td>676.80192</td><td>192.10123</td><td>72531</td><td>3.7825363e+04</td><td>6.9084020e+00</td><td>1.2774999e+03</td><td>5.9428430e-01</td><td>4.8599898e+04</td><td>8.8326321e+00</td><td>0</td><td>676.75964</td><td>1.4915710e-04</td><td>192.31887</td><td>1.9161010e-04</td><td>676.80192</td><td>2.5232456e-04</td><td>192.10123</td><td>2.5267553e-04</td><td>-3.9303382e-03</td><td>1.5094034e-02</td></tr>\n",
       "</table></div>"
      ],
      "text/plain": [
       "<KeplerLightCurve length=65504 LABEL=\"KIC 6922244\" QUARTER=17 AUTHOR=Kepler FLUX_ORIGIN=pdcsap_flux>\n",
       "       time             flux      ...   pos_corr1      pos_corr2   \n",
       "                                  ...      pix            pix      \n",
       "       Time           float32     ...    float32        float32    \n",
       "------------------ -------------- ... -------------- --------------\n",
       "120.53979406206781  1.0002389e+00 ... -6.1361594e-03  1.2139007e-02\n",
       "120.56022845695406  1.0000123e+00 ... -6.3053877e-03  1.1505429e-02\n",
       "120.58066275172314  9.9970073e-01 ... -5.5118860e-03  1.1369802e-02\n",
       "120.60109724637005  1.0002698e+00 ... -5.5788676e-03  1.0246177e-02\n",
       "120.62153164102347  1.0001223e+00 ... -4.6821944e-03  1.0072310e-02\n",
       " 120.6419659354433  9.9984479e-01 ... -4.2848983e-03  9.4073853e-03\n",
       "               ...            ... ...            ...            ...\n",
       " 1590.900002857561  9.9988633e-01 ... -4.0509203e-03  1.4821382e-02\n",
       "1590.9204372017994  9.9999821e-01 ... -4.0993756e-03  1.4611045e-02\n",
       "1590.9408717461629  9.9969560e-01 ... -3.9369571e-03  1.4928485e-02\n",
       "1590.9613061904092  9.9994302e-01 ... -4.1014180e-03  1.4680510e-02\n",
       "1590.9817405346475  1.0001228e+00 ... -3.6829417e-03  1.6025381e-02\n",
       "1591.0021750787782  9.9999636e-01 ... -3.9303382e-03  1.5094034e-02"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lc_stitched = lc_collection.stitch()\n",
    "lc_stitched"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "2m4t5VsDriLk"
   },
   "source": [
    "This returns a single `KeplerLightCurve`! It is in all ways identical to `KeplerLightCurve` of a single quarter, just longer. We can plot it the usual way."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 387
    },
    "colab_type": "code",
    "execution": {
     "iopub.execute_input": "2023-11-03T14:12:48.549540Z",
     "iopub.status.busy": "2023-11-03T14:12:48.549402Z",
     "iopub.status.idle": "2023-11-03T14:12:48.857715Z",
     "shell.execute_reply": "2023-11-03T14:12:48.857361Z"
    },
    "executionInfo": {
     "elapsed": 46378,
     "status": "ok",
     "timestamp": 1598466310026,
     "user": {
      "displayName": "Geert Barentsen",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64",
      "userId": "05704237875861987058"
     },
     "user_tz": 420
    },
    "id": "tYzdKj-7r6N6",
    "outputId": "9d2ce19e-0548-4d35-e3a8-0a86bcbe5f01"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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/R0VFITo6Gu+++y6WLFmCyZMnC147ePBg0byXLl2KlJQU1KlTB2XLllUkH0EwFBYW4vLly9i0aROaNWtmd7krgiAIgiDcl2Kp0Ht7eyM/P9/mOKPIM4q9GoSFhaFZs2Y4dOgQCgsL4eHhwZtu0aJFgkqVyWTC+vXrceTIESQmJsJgMKgmH/Fk06xZM/Tu3dvVYhAEQRAEoSHFUqEPCgriDau5f/8+AKhuAQ8ODkZBQQEeP34sqLT7+vqKWkkHDBiAHj164P79+zCZTKrKRzx5GI1GBAYGkmWeIAiCIJ4AiqVCX7VqVZw8eRLZ2dkWCk1SUhJ7Xk3u3LkDb29v+Pj4OJSPPaWfIAiCIAiCIKxx+9mXubm5uHHjBjIzM9lj0dHRMJlM2L59O3ssPz8fu3btQkREhOIVbrhlMFy5cgWJiYlo0KABTWYlCIIgCIIgnI6uLfSbN2/Go0eP2PCZxMRE9u/OnTvDz88PFy5cwLhx49CvXz+88sorAICIiAhER0djyZIlyMzMRGhoKPbs2YOUlBSMHDlSUTkA8NVXX8Hb2xu1atVCmTJlcP36dezYsQMlSpTAa6+9pnl9EARBEARBEIQ1ulbo161bh5SUFPb34cOHcfjwYQBAq1atWEWbj7i4OCxbtgwJCQnIyspCeHg4Jk6ciLp16youJyoqCvv27cOGDRuQnZ2NgIAAPPfcc+jXrx/CwsJUuWeCIAiCIAiCkIOuFfoFCxbYTVOvXj1s2rTJ5ri3tzeGDBmCIUOGqFIOAHTt2hVdu3aVlJYgCIIgCIIgnAEFfRMEQRAEQRCEG0MKPUEQBEEQBEG4MboOuSlOxMXF2ayCExsbi9jYWBdJRBAEQRAEQRQHSKF3EjNnzqQ15gmCIAiCIAjVoZAbgiAIgiAIgnBjSKEnCIIgCIIgCDeGFHqCIAiCIAiCcGNIoScIgiAIgiAIN4YUeoIgCIIgCIJwY0ihJwiCIAiCIAg3hhR6giAIgiAIgnBjSKEnCIIgCIIgCDeGNpZyErRTLEEQBEEQBKEFpNA7CdopliAIgiAIgtACCrkhCIIgCIIgCDeGFHqCIAiCIAiCcGNIoScIgiAIgiAIN4YUeoIgCIIgCCdjMBhcLQJRjCCFniAIgiAIgiDcGFLoCYIgCIIgCMKNIYWeIAiCIAiCINwYUugJgiAIgiAIwo0hhZ4gCIIgCIIg3BjaKdZJxMXFwWi0HD/FxsYiNjbWRRIRBEEQBEEQxQFS6J3EzJkz4evr62oxCIIgCIIgiGIGhdwQBEEQBEEQhBtDCj1BEG6L2Wx2tQgEQRAE4XJIoScIwi2hXRYJgiAIoghS6AmCIAiCIAjCjSGFniAIgiAIgiDcGEUKfVZWluS0Fy5cUFIEQRAEQRAEQRASUKTQjxgxAidOnBBNYzabsWrVKnz00UeKBCMIgiAIgiAIwj6KFPr79+9j4sSJWLBgAQoKCmzOp6SkYOzYsVi+fDn8/PwcFpIgCIIgCIIgCH4UbSz1xRdfYObMmdi4cSNOnDiBUaNG4amnngIAJCQk4KeffkJ2djYaNGiA999/X0153RbaKZYgCIIgCILQAkUKfWRkJL777jvMnTsX+/fvR1xcHPr3749Lly7hwIED8PLywtChQ9GlSxe15XVbaKdYgiAIgiAIQgsUKfQA4Ovriw8//BCNGzfG3Llz8csvvwAAqlevjri4OFSuXFk1IQmCIAiCIAiC4EexQg8AhYWFuHr1Kh4/fszu2FhQUACTyaSKcARBEARBEARBiKN4Hfpbt27hww8/xLp16xAUFIRPPvkEL7zwAq5du4a4uDhs2LBBTTkJgiBUZcOGDdi/f7+rxSAIgiAIh1Fkod+2bRsWLlyIx48fIzo6GsOHD4e/vz+aNm2KJk2a4IcffsDChQvx119/4f3330dQUJDsMnJychAfH4/k5GQkJycjKysL7733Htq2bSvp+vz8fCxfvhwJCQnIyspCeHg4BgwYgAYNGjhUjtR8CYLQN+vXr0fVqlXxwgsvuFoUgiAIgnAIRRb6H374AUajEe+//z4+/vhj+Pv7s+datmyJOXPmIDIyEsePH8e7776rSLAHDx5g5cqVuHHjBqpWrSr7+lmzZmH9+vVo2bIlhg4dCqPRiMmTJ+PMmTMOlSM1X4IgCIIgCIJwBooU+lq1amH27Nlo06YN7/ng4GBMnToVr732GnJychQJFhQUhCVLlmDhwoUYPHiwrGuTk5Oxf/9+DBw4EEOGDEGHDh0wdepUhISEYPHixYrLkZMvQRAEQRAEQTgDRQr99OnTUaFCBdE0BoMBPXv2xDfffKNIMC8vLwQGBiq69uDBgzAajejQoQN7zNvbGzExMTh//jxSU1MVlSMnX4IgCIIgCIJwBopi6K03SBJDSbiMo1y+fBkVK1a0Wfe9Zs2aAIArV66gXLlyTs03OztbUhleXl7w8vKSLRtBEARBEATxZOLQspV6JT09ndfqzhxLS0tzer5Sw4b69euHV155RZF8BEEQBEEQxJOHIoW+W7dustI7ewnLvLw8Xiu3t7c3e97Z+S5atEjSTrFknScIgiAIgiDkoEihDw4O5j1uNptx//59FBYWAoCisBY18Pb2Rn5+vs1xRuFmFHBn5uvr6ytJoScIgiAIgiAIOShS6BcsWCB4zmQy4eTJk5g3bx7Cw8MxevRoxcIpJSgoiDf85f79+wCAsmXL6ipfgiAIgiAIglCK4p1iBTM0GlG/fn1MnDgRx44dw2+//aZ2EXapWrUqbt26ZTMRNSkpiT2vp3wJgiAIgiAIQimqK/QMFSpUQEREBHbt2qVVEQCA3Nxc3LhxA5mZmeyx6OhomEwmbN++nT2Wn5+PXbt2ISIiQnEokFb5EgThGsxms6tFIAiCIAiH0XSVmxIlSuDevXuKr9+8eTMePXrEhrkkJiayf3fu3Bl+fn64cOECxo0bZ7E6TEREBKKjo7FkyRJkZmYiNDQUe/bsQUpKCkaOHKmoHCX5EgShXwwGg6tFIAiCIAhV0EyhT0lJwenTp1GmTBnFeaxbtw4pKSns78OHD+Pw4cMAgFatWrGKNh9xcXFYtmwZEhISkJWVhfDwcEycOBF169Z1qBw5+RIEQRAEQRCE1ihS6Pfs2SN4LicnB7dv30ZCQgJycnLQqVMnxcKJTb5lqFevHjZt2mRz3NvbG0OGDMGQIUNUKUdJvgRBEARBEAShNYoU+lmzZom6q5m41NatW6N///7KJCMIgiAIgiAIwi6KFPq+ffsKKvSenp4IDAxE3bp1UaFCBYeEIwiCIAiCIAhCHEUKPTP5lJBOXFwcjEbLRYViY2MRGxvrIokIgiAIgiCI4oCmq9wQ/zFz5kzaKZYgCIIgCIJQHc3WoScIgiAIgiAIQnskWejHjx/vUCFTp0516HqCIAiCIAiCIPiRpNCfOnVKcQG0eQtBEARBEARBaIckhX7+/Play0EQBEEQBPHEwCzxTRBqIEmhDwkJ0VoOgiAIgiAIgiAUQJNiCYIgCIIgCMKNkaTQz549Gzt37tRaFoIgCIIgCIIgZCJJod+9ezfOnj3Le65bt2743//+p6pQBEEQBEEQBEFIw+GNpcxmM03skADtFEsQBEEQBEFoAe0U6yRop1iCIAiCIAhCC2hSLEEQbgl5BgmCIAiiCFLoCYIgCIIgCMKNIYWeIAi3hHahJgiCIIgiJMfQHzx4EKdOnbI5bjAYBM8x53/++WflEhIEQRAEQRAEIYhkhT43Nxe5ubmyz5EVjSAIvUJx+ARBEERxQJJCP3/+fK3lIAiCcCpkbCAIgiCKC5IU+pCQEK3lIAiCIAiCIAhCATQpliCIJxay0hMEQRDFAdpYyknQTrGOc+PGDVSsWNGmHgmCIAiCIJ5kSKF3ErRTrOO89NJLWL16NapVq+ZqUQiCIAiCIHQDmToJt4JCJAiCIAiCICwhhZ4gCIIgCIIg3BhS6Am3gtYNJwiCIAiCsIQUeoIgCIIgCIJwY0ihJwiCIAiCIAg3RtIqN3v27HGokDZt2jh0PUEwUMgNoSb0PhEEQRDFAUkK/axZsxStLmI2m2EwGEihJwhCd9CKSQRBEERxQZJC37dvX5vO799//8XevXtRokQJNGjQACEhIQCAlJQUHD9+HLm5uWjVqhVCQ0PVl5ogCIIgCKKYYjKZkJqaivLly7taFMJNkKTQv/LKKxa/b9++jbi4OLRq1QpDhw5FqVKlLM5nZWXh559/RmJiIr7++mv1pCUIgiAIgijmnDhxAkOHDsWxY8dcLQrhJijaKfaXX36Bv78/3nvvPXh4eNic9/f3x8iRI/HWW2/hl19+wbhx4xwW1N2Ji4uD0Wg5Bzk2NhaxsbEuksg9oZhngiAIorhjMplcLQLhZihS6E+dOoUGDRrwKvMMHh4eiIiIwD///KNYuOLEzJkz4evr62oxCIIgCIIgiGKGomUr8/LycP/+fbvpMjIykJ+fr6QIgiAIgiAIgiAkoEihDw8Px5kzZ3D8+HHBNCdOnMDp06cRHh6uUDSCIAiCIAiCIOyhKOSmd+/emDp1KqZMmYKWLVuiRYsWKFeuHAAgNTUVf/zxB/bu3QsA6NWrlyLBcnJyEB8fj+TkZCQnJyMrKwvvvfce2rZtK+n6/Px8LF++HAkJCcjKykJ4eDgGDBiABg0aKE576tQpwfkAM2bMQK1ateTfKEEQLoHmYxAEoVdoWV1CLooU+qioKAwbNgzz58/H7t27bTaeMpvN8PLywptvvomoqChFgj148AArV65EuXLlULVqVZw6dUrW9bNmzcLBgwfRtWtXhIWFYffu3Zg8eTKmTp2KyMhIxWkBoEuXLnj66actjtHynARBEAShjNGjR2PGjBmuFoMg3BZFCj0AdOzYEY0aNcLOnTtx9uxZpKenAwCCgoJQp04dtG3b1qH1U4OCgrBkyRIEBgbiwoULiIuLk3xtcnIy9u/fj8GDB6NHjx4AinarHTFiBBYvXmzRaMhJyxAZGYno6GjF90YQhD4gKz1B6IOEhARXi0AQbo1ihR4AQkJC0L9/f7VkscDLywuBgYGKrj148CCMRiM6dOjAHvP29kZMTAyWLFmC1NRUNkRITlou2dnZKFGihOhKP4T6kAJGqAW5tAmCIIjigkMKvV65fPkyKlasaLNMZM2aNQEAV65cYZV0OWkZZs+ejZycHBiNRkRGRmLw4ME2ITgEQRAEQRBKIIMDIReHFPrr169jx44duHDhAh48eICoqCgMHjwYAHDu3DlcuHABrVu3ttlJVmvS09N5rfvMsbS0NEVpPT090bx5czRu3BilS5fG9evXsW7dOowZMwZfffUVqlevLihTdna2JNm9vLzg5eUlKS1BEARBEARBKFbo169fj19++QWFhYUAikaTDx48sEizYMECeHl5oWPHjo5JKZO8vDxepdjb25s9ryRt7dq1Ubt2bfZ3VFQUoqOj8e6772LJkiWYPHmyoEzMQMce/fr1wyuvvCIp7ZMIhdwQBEEQBEFYokihP3r0KBYuXIjy5ctjyJAhqFOnDl599VWLNLVr10bp0qVx5MgRpyv03t7evBtaMco5o6zLTctHWFgYmjVrhkOHDqGwsFAwpn7RokWSdool6zxBEARBEAQhB0UK/fr16+Hj44PPPvsMFSpUEExXrVo13Lp1S7FwSgkKCrIIlWFgdrctW7asorRCBAcHo6CgAI8fPxZU2n19fSUp9ARBEARBEAQhB0U7xV66dAkRERGiyjwAlC5dmlWMnUnVqlVx69Ytm7j1pKQk9ryStELcuXMH3t7e8PHxcVR0giAIQuecO3cOp0+fdrUYRDGGJsUSclGk0Ofn56NkyZJ202VkZGi+rGNubi5u3LiBzMxM9lh0dDRMJhO2b9/OHsvPz8euXbsQERFhsWqNnLTcMhiuXLmCxMRENGjQAEajouokZEAx9ARBuJoFCxbg559/drUYBEEQLIpCbsqXL48rV66IpsnPz8fVq1cRFhamSDAA2Lx5Mx49esSGxCQmJrJ/d+7cGX5+frhw4QLGjRtnMZk0IiIC0dHRWLJkCTIzMxEaGoo9e/YgJSUFI0eOtChDTtqvvvoK3t7eqFWrFsqUKcOu8lOiRAm89tpriu+TIAiCIAiCIJSiSKGPiopCfHw81q9fj+7du/OmiY+Px4MHD9C1a1fFwq1btw4pKSns78OHD+Pw4cMAgFatWsHPz0/w2ri4OCxbtgwJCQnIyspCeHg4Jk6ciLp16ypOGxUVhX379mHDhg3Izs5GQEAAnnvuOfTr18+hgQtBEAThXpC3kCAIPaFIoe/Zsyf27t2LRYsWISkpCc899xyAohAbRunet28fypcvj9jYWMXCLViwwG6aevXqYdOmTTbHvb29MWTIEAwZMsRuHlLTdu3a1aEBCuE41IkSakLvE6EEim8mXElhYSEyMjIkLdpBPDkoCvr29/fH559/jipVquDgwYP45ptvAAB///03pk+fjr1796JSpUqYNGkSrexCuA2dOnVytQiEEyGljCAId+SPP/5A+/btXS0GoTMUbyxVsWJFzJ49G4mJifjnn3+QkpICk8mE4OBg1K9fH82bN9d8QixBqAk3vIsgCIIg9EhBQYGrRSB0iGKFHgCMRiOaNWuGZs2aqSVPsSUuLs5mFZzY2FiHQpIIgiAI10DhWoSrIO8iwYcihf706dMwGo2oU6eOaLpbt27h/v37vBNRnzRmzpxJ4UcEQRDFAFKoCK2hd4yQiyKFfty4cTAYDGjSpAk+/PBDwQ2V1qxZg4SEBGzYsMEhIQmCIAhCT5CFnnAVpOwTfCjeCclgMCAxMRGjR4+m2GOCINwS6hgJJdB7QxCE3lCs0Lds2RJdunTBtWvXMGrUKNoGmyAIp0NWUkJNkpKSJKeld49wFTSgJPhQrNAbjUYMHToUw4cPR1ZWFiZMmIDt27erKRtBEIQg1KkRatO/f39J6ejdIwhCbyhW6Bnat2+Pzz//HH5+fvjhhx/w008/wWQyqSEb4eYMHjzY1SIQBEFoAlnoCS2hQSMhF4cVegCIjIzEzJkzUaVKFWzduhWffvopsrKy1MiacGNOnTrlahEIgiBUh5QtgiD0hioKPQCEhIRgxowZiIqKwokTJxAXF4c7d+6olT1BACCrGKEu9D4RBEEQxQHVFHoA8PHxwbhx4/Dyyy/jzp07OHfunJrZEwRBqAZZWQmCIIjigqJ16Nu0aSO6qdSAAQPw1FNPYcmSJWQBIwiCIAiCUAkyRhB8KFLo33//fbtpWrRogRYtWijJvlgSFxcHo9HSIRIbG4vY2FgXSeSe0ACRIAg9QG0RQTiPxYsX46WXXkJAQICrRdEtihR6Qj4zZ86Er6+vq8UgCIIgHIQspIQreRLfvzlz5qBx48ak0IsgSaFnNo2qWbMmvL29ZW8iVbduXfmSEQRBEIROIQs9QRB6QpJCP27cOBgMBsydOxcVK1Zkf0tlw4YNigUkCD4aN26M+Ph4VKlSxdWiEATxhPEkWkgJ/UDvH8GHJIW+devWMBgMbMgI85t4cpg5cyaCgoIwaNAgl8rBtYo9fPjQhZIQzuD8+fOoWbOmzfwTgnA1ZKEntKS46lhZWVn47rvvMHbsWFeLUuyQpNB/8MEHor+J4s/58+dRvnx5V4thAXWoxZ8BAwZg06ZNCA0NdbUoBMFSXJUtwj1w5/fv3r17WLt2LSn0GkBmryeI1NRUxdeazWaYTCYVpXGcx48fu1oEgiCeUMig4D7Mnj3b1SIQ/09hYaEq+Vy/fl2VfIoTpNA/QXTs2FHxtf/88w927NihojTK4HaiGzdudKEkBEEQhDuwdOlSV4tA/D9qKfQ9evRQJZ/ihKSQmz179jhUSJs2bRy6niC4PHjwAAAorppwGLKyEkpx57AHQv8U1/dLLYWesEWSQj9r1ixFL5fZbIbBYCCFnlCNjIwMZGVlAQAaNmzoYmmKN2fPnkW1atXg4+PjalEIQnfQYJAg5PPqq68qvra4DnLUQpJC37dvX6pIB6GdYtVh2bJlOHbsGACgatWqLpameDNw4EB89913eO6551wqB7U9hN6gd5JwJfT+EXxIUuhfeeUVreUo9tBOsfYZMWIEXnnlFTRv3lwwDaPMAyDLMUEQBEEQsvjtt9/w3HPPoWLFiq4WRVUoCJnQDceOHcOtW7ckpxdyeefn56slEkEQxQiz2YxLly65WgyCcAiy0DvG9OnTcfz4cVeLoTqk0BOivP322+wkVK3x8PBQZcKMq0NECHUoKCgQPb9p0yYnSUIUF7Kzs9GnTx9V8tLjUr4EQUijOA6KJIXcCJGSkoKjR4/i9u3byMnJ4bWYGgwGjBw50pFiCBdy7Ngxp+3I6uHhIajE/fTTT06RgdAHKSkp6NSpk6vFcDqFhYVo06YN9u3b52pRih1Xr15FcHCwKnkxykDTpk0twgCJ4ovZbIbZbNbF6mrFURl1NsWxDhUr9L/++itWrVplocQzfzMVxaxyQwq96zh58iQ2btyITz75xKnlMivRAMAvv/yCZ599Fnv27EFcXJzgNUajUdDi9fPPP6suI6Ff8vLyXC2CSzCbzXj06JGrxeDlzp07KF++vMs6wjt37uDAgQPo3bu3out79eql6nrktMpN8eXLL79E586dERkZyR778ccfcfv2bXz22WculEweFy5cwN27d/H888+7WhRNYHRMJUi5bs2aNejUqRP8/PwUleFsFA01Dxw4gF9//RXBwcEYPnw46tevDwCYPHkyhg0bhrp168JsNqNbt274/PPP1ZSXkMmlS5ewfv16h/LgWs0vXrwo6ZpWrVqxf3/33XfYu3cvVqxYIXqN0Wjk7STthV4QBKE9nTt3xvnz511W/unTp/Hll186lIdaSrjBYMDdu3dVyUsqLVu2dGp5TzJr1qyx6etSUlJkzfHSEqlK7JYtW3S1S+6WLVscut76vrUeVH/55Ze6eeZSUKTQb9myBZ6envjiiy/Qrl07BAYGAgAaNGiAjh07YurUqRgyZAg2bdqkC/fUk4wa1jRuyM3Ro0c1k8NgMPB+oM2aNZNURuPGjZGTkyNbNoIozty8eVNSx7dr1y7cv39fNI0rY8bVaMvUVAAeP36sWl5ScIbnZsmSJS4dtOkJvvfNmV4ZvvI3btyIXbt2OU0Gtfn0009dLQJLcQy5UaRtX716FbVr10ZISAgAyxAbhu7du6NixYpYvXq1CmISWlNYWIgXX3yR91xGRgb795o1axTlL2VgJxZyY82QIUN4jxcHa/7du3edriwIcePGDZq/4OZ0794dN27csJtuzJgxOHHihGgaV4aZ6EmhNxgMxUYhuHXrFrsy2Lx58/D333+7WCJ9YP18hQxOzmTLli3Yu3evS2VQg5o1a9ocy83NxbVr12Tl48jzKC7fLxdFCn1+fj7KlCnD/vby8gJga0GoWrUqLly4oFw6wilcvHgRZrMZmZmZvOe5q9xYu5m5yj4fzDsh5eORo9AzeVsr8K5ucNXgpZde0s0KLsnJybLmL6xcuRLz5s3TUKIi7t27p3kZhOPcuXPHYj6NUnJzczFx4kQVJOLHZDLZrLBlNpvRtWtXzcrUC926dcO+fftgMpmQm5tbLNpQNeBT6J3F2bNn3b6NO3PmDA4cOMB7jqs/MuzevRs9e/aUVYajCr09/YVJ5y4oUuiDgoIslL+yZcsCgM3o6t69e7Ss1/8TFxeHd955x+Kfo/FkUrD3Ml67dg19+/Zlf3/33Xc2aTIzM+Hv7w/A1s1sz4XWv39/ABBdjjI9PR2bN29GWloaa31o3LixaL4A8MYbb2DlypUWx7jv25EjR1jLk8lksll+8+bNmzh8+LDdcrQkOzvbZgJofn6+4kbk6tWrqiz9ycAnx7fffotvv/2WN/3Jkyexdu1au/keOHAAe/bsUSyX9UDuzp07OH36tKw83KmhVgrfngwZGRnsO3fz5k3MnTtXcn5yO9DXXnvN5htVQnZ2NnJzcx3OR0j+hQsXYsyYMTbHb9++zZveYDCwXsfU1FQAwOzZs/H77787LKMYUr1lR44cwbBhwyTnazQaFYdTOkpGRobqa4JnZmbijz/+cCgPZ4TcCIW4ffDBB9i4cSPvObkyuGqAtnnzZvz444+850qVKmVzTGpYrloYDAa0bdtWtfz0gCKF/qmnnrKYKFCvXj2YzWasWLGCbXQPHDiAs2fPokqVKupI6ubMnDkTc+fOtfgXGxvrarHw/vvvA/gvTn3ZsmVYt26dxYSgBw8eICAggPd6PusbtwFh4u/FVpc4e/YsJk2aBAA28Zv2QmjEQlOGDx+OmzdvAgAOHTqEmJgYi/M7d+7ExIkTbRSF3NxcfPTRRxbHhLwXUtm/f79NGUBR/Vt30mazGR4eHuxvvvdk5cqVSEhIsDneq1cvzb1ia9euxfLly/Hyyy/bnDOZTEhLS7Obx+bNm7Fu3TrVZNq4cSNGjx5ts6u1moMbZ6D2IGPRokUALL/J/v37s6FzFy9exMKFCyXnp0SZkHJPJpOJ/ZbHjh1rM8hVay6WkIEpJSUF//77L/v71KlTdvNi7qtjx44Air7xs2fP2qS7dOkS2w7Z47fffsO2bdsEz0v1lv3777+yFHSj0cjWubMVwISEBLzxxhuq5nn06FG2b1O6j4p1PfCF3Fy+fNmhZUuZTc6kzv2S2z5obbSQ8p1IRev5liaTSdG77U6GH0U12LRpU6SlpbHxlnXq1EG9evVw6tQp9OvXD6+88gq+/vprGAwG1TbxIORjMpmwe/du0TTWsbWFhYWYOnUqDh06xB7LzMzkVehNJhOys7NtjnM/Gk9Py5VRv/32W1y9etXimHUaLjt37hSVX6xsAKxi/PjxY17l7v79+zbrnT969Ah79uyx6JyF5hdIxXq5TmYZsYcPH/I25txGhG81DUaBPXjwINasWWMxKGAaxgsXLlgoMGKKQm5ursUgjhlw8DWyzLnLly/bnOOzOO3duxeLFy+2OGavkTx58qRoWqGGOTk5GcnJybh79y7Onz+PqKgodpUnoXkX1phMJly8eBE//PCD3ZWZGObPn28zaJNSjtbKE9+79ejRI/a9YL49qSu2SJGXWa8bKPK+8bURQFFbwwzgmzZtiujoaABF33xeXh7OnTvHeuq4A1zrMoS4fPkyHj58aOGlELuG+54NHjyY/ZtrVNiyZQv7LvOFZJhMJuzatcvCSDB16lTMnz+f/W09yf/8+fMoKCjA8ePHsXPnThw8eFD0vpTy+++/C+b94Ycf8raPCxYskJy/UN1yDQ9RUVHs32lpaZg/f77FdYWFhZLCIPi4c+eORb/FwOQnJVpg3rx57Hc8adIkC4MR87y5iy+sXr0aX331lUUeubm5gu88w927dy3uu3PnzgD+e9cMBoOgYcTe5OgdO3bY7ffVgvudMCxbtszmmJx9Ne7evYuLFy9aRA4IYTabsX79ekkDori4OCxfvpwdXP/111+SZXIXFCn0rVu3xty5c1GtWjX22Pjx49G+fXv4+/sjJycHlStXxgcffIBGjRqpJiwhj6SkJN4GTgrclW0yMzN5Y96ElORVq1axf1s3SsuXL7exIAsp9JcuXcKECRNE5Txy5Ajr8ubCKAI9evQAYNnZWIfzWFtwmLQDBw7kLdNaOZWKWEOclZWFe/fusS5+IWvFnTt3YDabkZycDOA/1yzXcsdY2vr168da6ZKTk3nrsnHjxjh79ix+++039O3bF3fu3AHw34CD6cTWrFkjGNP5448/spYmppHMyMhAWloazGYzxo4dizlz5gAoepeYMCcx5Ups4tfdu3fRpUsX9vfAgQMxb948VtaxY8dixYoVrPeICe3hDhIYeQHYWE/379+Pvn37YsGCBZg5c6ZgaNB7773H/r1lyxa7E0qtyxk4cCBGjBiBnTt3YsaMGRbntFxpJCsri+0AGcXDngLCwPfMUlJSLMIbmjRpgiZNmrC/uW1JVlYW+71eu3YNAwYM4C3H09PTog6slWfrMvh4+eWX0aZNG0yZMoUNx2KUOrPZjFGjRrFl8BknevXqBaDIi8aEDuzatYt9l61hlt0dM2aMhdHi5MmTFsqktddxwIABWLBgAd544w2YzWaLNvXUqVOSLe1Cezds374ds2bNwqpVqywMJNZyML9zc3PZ7+OHH36QVHZWVpbF8+DKMnr0aPZv7r1duXIFP/74o4UXZ/fu3RYGFjElfPTo0RbnExIS8PHHH7P3YJ0Ht+y8vDw0btzYZtPEbdu2WbQT0dHROHz4MCZMmGDhUWzRogWSkpLw22+/2Rg25syZgw8//BBAUf/EpzjGxsbi4sWLrBElMzMTOTk57GAvNzeXN4TQYDDgjz/+wNixYwXrZevWrdi+fbvN8fT0dIfj8pm+Lysry6L943pYZs2aBaCoz2DCsEeNGsX2Lfbo168fvvjiC7ZuxLxbZrMZn3/+OVq0aMEei46ORuPGjXH//n2LJTuvX7+OtLQ0JCYmsvIBYHWk06dPs+3TDz/8YNOeZ2RkqBL2pyWKFHovLy9UqlTJIg7K19cXw4cPx9KlS7Fu3TrMmTPHYi1ywvlwO0HrWNr09HQ2zIUP7oj6wYMHKF26tE2a7OxsmEwmfPfdd9i2bRv27NmDFStW2HUvMzHW//zzD1avXo2kpCTedGKbUDH8/fff6NixI6u8CcViWsfH/vPPPxb1s3nzZgDA4cOH7Vr+5syZg+3bt6OgoAAXLlyA2Wy2qd+UlBQARQr35MmTAQDTp0/nze/y5cto1aoVOnTowE7CY+6DK0tBQQE6d+5sEadrNBpx7tw5AP9NFB00aBC7XjfTSTOd6pkzZwAUKfKMEnbjxg3B0CbGuvbll1+iQ4cO+PPPPy3O7927F/Pnz7fZuKxt27Zo37495s6dy9YNszfFu+++C4PBgD///BNLly6F2WxmPUWrVq1C48aNLZRobkfcuHFjG2WX8aQwdX7t2jWYTCa8/fbbAIo6b6Yes7OzkZ+fjz59+uCvv/7CtWvX0L17d+Tm5iIrKwtJSUk2A7yPPvoIeXl5bP4MBw8eZDssk8nEOwjjhiZ2797d4tzVq1fZDn/VqlVYunQp2zEOGDDA4cmkGRkZbD1av9Pz5s2D2WzGuHHjABQpV1xmzJiBf/75B2azGV988QV7nMlnwoQJrNIQHx/PhjfwhR8wdQsUvUcdO3bE+fPneeP7GaWa8RQCRQMCIY/OvXv3kJubi+nTp/Out202m5GUlIRBgwYB+M/jt2XLFuzbtw+LFy/GtGnTsGXLFvZZMgN+5vfdu3dZCzszyc+6Yzebzbh8+TJ7zYABAyyUzbS0NLRr187iOVy6dIn9ZpkBeW5uroXSPXLkSAwbNgzffPMNe6x9+/YW5b/zzjswmUxo3rw5r4csKSkJ+/fvR0FBgYWno1mzZhZtLNMG/Pjjj+jTp4+sUBXmWsYD0Lx5c4vzf/75p40yybcp5bhx4ywGA88995zF4Hv9+vXIzs7G7du3kZCQYDG34ubNm+xAlenbHj16xObHKMOnT5/GiBEjAPznwUpKSsLjx49hNptt6pDp3wDLEFOhDTNXrlyJxMREfPnll5gyZQp++eUXAEBiYqLFplSFhYUW3wvXS2Y9kGncuDEaN27MDu6sByKnT59mvyej0cgaU5j+KSUlBYMHD2a/9/fff98ieoLPK8IdwBw4cADXrl3DnDlz8ODBA7Rq1Yp91ps3b8bx48ctPLyM/Lm5uWz/znghypUrx1tvzDf++PFjdlCVn5+P7t27WzxD7sRZ7jvEhBcyXpUBAwZYhPoyA0duewb89xwHDRqE/fv349KlS1iwYAFef/11i3T9+vVjn6VeUbxTrNbk5OQgPj6edaEzI0Kpkxjy8/OxfPlyJCQkICsrC+Hh4RgwYAAaNGjgtLSuhrsJy3PPPQegSP7MzEysWrWKVWL54I6mMzMzUblyZZs0OTk5MJlMOHjwINsRpaen28QxW8M0YocOHcL27dstYle5yNnQgRk8cq1BDHwTcxYtWoSIiAj2N9MBTJs2DS+88IJFWqahzM3NZRXtM2fOYNKkSRaK8LFjx3D37l2kpqZi0KBB+Pzzzy1m+efm5iI1NZVV8BmFmk8J2rBhAyZMmIDx48ezxxgrBNf64uHhwcrAWB6A/6wPO3fuRKNGjdi6fO2119jyGCVs/Pjx7OTlzp07W8hj7WGxVqYZS9SFCxdslH3gv0YWKOpwrZXU2bNno0qVKhg1ahSOHTvGG8/dtWtX/Prrr6zCNmrUKJs01nCVouvXr7PWwxdeeMHiu2AGA88//zxGjBiBOXPmWFh7GBgFJTo62kJx7NmzJ/bu3Ytbt25h48aNGD58OD744ANUq1YNgwYNQrdu3VClShV2MLd9+3a0bNkSJUuWZDsjZpUwa4W0VatWkuJzjxw5guHDh2Pt2rUIDg6GwWCAr6+v3baSu2oMM2eEUY5WrVqF33//HfHx8YiPj7exQv7999/Ytm0bOnTowCq71p4vJhRh69at2Lp1K44dO8YqZ1zLPNdzxHx73E2UWrdubWFg4Fq/f/nlF/z666/sb67VkIErO/NdMBN1pazpzQx2pkyZwh6zDgVkFC2uR/TevXvs0s4PHz5Eeno6a/F+7bXX2ME1F+Z9zMrKwuHDh1nFjRu2kpaWhtTUVKxZswYvvvgiEhMT2aUmY2Ji8Oqrr7IerpEjRyIiIgKFhYU4c+YMzpw5gwkTJuCtt94CYDm3x3pRizZt2titGwZGGXvvvffYd/btt99m294RI0awO/zOmDEDo0ePZt9/sYFDYWEh+vTpg4SEBPj7++Pzzz/H559/jpkzZwIo+kYqVqyIiRMnsp5hbvvdu3dvdiD+8OFDts2rWLEigCIjwMGDBzF16lS0aNECN2/etDFIMd5QoKgtYeC2jYyyyPXCMu8ao6i/8847AIradqDoG3jqqafY9Ex4365duyy8RXwDX2sGDRqExYsX4969e2yfw/WYfP/997h16xbbDzB9z4MHD9jn/PLLL+O9995DiRIl2AG1wWDAtWvXsHTpUjad9XvB9J1Dhgxhv9P4+Hj2vPXmonzGQQBsX8cNc2L0ltatW7PHrl27xvvtfP/993j22WfZ30y9L1u2DAMGDBCdz8O0XWIraaWmpup+WWzd7vr04MEDrFy5Ejdu3EDVqlVlXz9r1iysX78eLVu2xNChQ2E0GjF58mTeF0GrtK6koKCAd8LKjh070KFDBwtFi4/s7Gy2USkoKGCVDgAW1k6z2cy6mpmPRSwmnovBYOB1AUqNdZYKN36V+XAPHTqE3377zSbt7du3LVbl+O2339hG5fnnn2ddur/++qvNxz1s2DCsW7eOTWNttU5ISEDHjh1Zxff9998XHbSYTCbWGs+1dHMHCdzGz9fX1yaPzZs32+x4yLeC0PLly9m/+UKYGITCDQCwVi8hXnrpJd7jjIIeFRUlGDc6d+5c3gEDXxw/YLmspbVlnXk+1jD3JrTUGlBkgezRowf+97//sceY58zIfuDAAfzyyy9sJ3T9+nV2kPvJJ5+gRYsW+Oijj9hnx1VIrcnNzbUbx8zUe8+ePfHKK6/ghRdeEFwlyt6cioSEBFZhvn//PnsPzECWGUwynWX79u0F5bLeg6Rx48YWypGYHNZwB/3cPKwnoQq9Y9YoCWkSWnUE+E9Z4/Lyyy+z7x5jCWYGrPb6i1atWlkYIqzDFXbv3o0VK1awVkRum7V06VLW43Xo0CE8ePDAop0ZPnw4bxiI0ITbf//9l/2eRo0aZfFuTZgwAZ999pnFHCPm/LFjxyys7YxFl1G8mXfx+++/tylz7ty5Fu/9m2++aaGgctveW7dusQMUwDJ8jPvtcxdFYOpj0KBBrCdI7Lu3B2O5tQ6dY2AmTlvDfa+PHDkCwNabzPQ/fJw7d46ti0ePHrEGFmu4K+pxBwjcVe1Wr17NzmNh0uzYsYO1cttblSw7O5v1pnK90YwHmcF6PowUrBe/eO211wDYehb4Ft9gQoDMZrPDqy5a9yV6w2BWOCvr2rVrWLduHU6fPo379++LjlyYEakc8vPzkZWVhcDAQFy4cAFxcXGSLfTJyckYNWoUBg8ezMZQ5+XlYcSIEQgICLD46LRKy5CdnY0+ffpg1apVvAqXVnTr1o1XWezVqxevIitGzZo10aRJE1bp69ixIz777DOcOHGC7VC4+bZp08bux7927Vp8//33spcubNiwIf7++28MGTJE1uoczqJp06YWlnJH6NKliyrr0U+fPp13ST5CfcaOHYtp06apll+5cuWQmpqKTZs2ITQ01Ob8J598whsvy0fbtm0xatQoQeVCCpUrV8a6deskLSurJs2aNeMd0PHx3HPPYfbs2WjatKnGUj1ZHDt2zOK5V6tWTXBALSWv/fv3SwqrdBeOHTuGl19+WXGdKGXevHl48803Vcvv2LFjePjwIVq3bo0yZcoonqQsRJ06dRAaGmrhKQWkLVVdp04d3pWk7JGYmKi4PVi5ciUeP37MDiIcWdVICXJ0SEUW+lOnTiEuLg579uxBamoqfHx8EBwcLPhPCV5eXggMDFR07cGDB2E0GtGhQwf2mLe3N2JiYnD+/HkLC6RWaV2NkOV369atDud96dIl5OXlWcws5w4SpCjpPXv2lORKtMbb21v2Nc5ELWUegGqbS5Ey7zzUVOaB/7wlQsumSlXmgSJXviPKPGC7KpazkKrMA0XzYPQ42Hd3rNfkd1RxLU7KPIOzlXkAqirzDIxnTm1lHoBFqKtclCjzABwa3HOVeb2jKIZ+8eLFyM/Px8svv4wePXo41fIshcuXL6NixYo2cjHbDV+5coWdmKFVWr0idTULMZKTk9G8eXOb5brkoiQezZ3WhCUItVAy+H2SEdrQhlCOmrvm0oaTTy58fbie9wvRen18NVGk0F+9ehURERGCS465mvT0dF7rPnOMG6erVVprpCrSXl5eFvHqeoCZwOfj42OxuoKjgwNHdmklxZ54khg8eLDTXb0EoRVyd3UmijdSl7R0BULLweoRRQp9qVKl2Nn7eiQvL49XKWbCNbgPSKu01vBtwMAHszGXnmBmpYeGhlosbye27KUWtGnTRvKOegRBEIQ+Edtngnjy0LPHhrsvgd5RpNA3btwYx48fR2FhoaIZy1rj7e3N66JmFG5uHLZWaa1ZtGiRpNAkvVnnAbCbSjl7S3CCIAg9U758ecm77BL/IbT3COFamL07tITPu269D4bWlChRwmblHCH4VubSK4qCg1599VUYDAb873//s7sNsSsICgri3WCDOVa2bFnN01rj6+sr6Z8eFXqxjV0IS7p166ZaXkOHDlUtL4JQA+560ARQoUIFV4vgllSpUsXVIqgCs/+Jv78/AMsdU92RAwcOWGwo5Sysl7bUmrCwMMlphw8frqEk6qJIoQ8ICMA333yDixcv4vXXX8eECRPw7bffYvbs2Tb/uOs1O4uqVavi1q1bNjHejFWAu669VmndlRIlStgcc8Ya+w0bNhQ8x8jkCg+BnM1VAPBuwKUUZmc9gtALaq/i4+4ItUmVKlVysiTCSF2b35lwNw4D+PsdPcGdL8gNN/bx8QFQtCM4ANSvX1923tzJxny7HTuTuXPnsoMTZ+LsOPU+ffqwm4vZw50G7YoU+uzsbHz55Ze4efMmsrOzceLECSQkJGD37t28/7QkNzcXN27csFjWLTo6GiaTyWJJt/z8fOzatQsREREWK9FoldbViCnIYvBZ4u/fv69ImX7mmWckpy1VqhTv8X79+ln8drangFFghELLuMsAWlvUuRtsiXWqzDJe1mV4eXnJqkM+ypcv79D1wH+7KgYFBSm6fuDAgQ7LwGBvKds6deqoVhaXyMhIwXMBAQEO5z9o0CD2b2aPCzlwt0OvXLky7/smtimYGHXr1mX/trdpnNqWV+5OmtWrV3coLzW8C7GxsZLSSd3RXAncd8Ua7i7Hr776KoCid5e7bJ/UZ8S31N+kSZMEN0+SQ6NGjSx+S/VMM/ueAOJ9HLetUnvxDutd4evXr88q5WLtBHcg0KxZM/ZvbvtRsmRJxXJJ2V9GqJ9l8PPzs9iASwzurqxiMF4MMbSw0FvrDlwMBgOWLFkCAAgPD7ebl6PL/ToLRQr9woULcerUKVSpUgVDhw7FhAkTMHXqVN5/1tv+ymHz5s1YtWoVu812YmIiVq1ahVWrVrGhPhcuXMA777xjsRNaREQEoqOjsWTJEixatAjbt2/H+PHjkZKSYtMYapXW1QQFBSEqKgpAUYPhiJWGcU8pUaalWJmbNWvmsKLO7cjE4O4oKMbLL78MoEjJNhqNrFL79NNPW6Rj5hcAQP/+/dmd9gBY7J7ItXq88847rGJUpUoVtoPlGzSNHDnSrqxcr0BMTAw7l6Ny5coW26Ar7diYgYb14IA72LDXUTBYK9xcDwjfbpuAZT2KvSfc/SGA/54hYDmoaNSokcXgSUrnbzQaBcOpXn75ZbYjbtKkCZ5//nlBGYXg3pecTv3QoUOsfIyH0NPT0yK/5s2bAyjaCAj4z+IUHh5u0elxlSWj0WgxeLLu5IUGHYwM1hZXpR0iV9nhWsq460JHRUUJWtG4z5NrcLEeKEv9NqwHtXINHdzv0RqmvQaKQveYe7e29osZCvi+j/r161tYjrltFiDcJnp6etp4KNu3b4/atWsL3gNTHh8BAQFs++nl5YX9+/ez55ilnwFbw0a7du148+O2JXXq1LGoi+7du7N/c59R7dq1Ld5lNYwNHh4evPXeu3dvi9/cd1nIOiw2z65v377s33z9uRTjjdius0IIPe+MjAxJhsNy5cpZPF8+mJ2Ihe5BitJtjY+PD68hjlmGknkeXA+J9WCNYcKECbLLdwWKFPojR44gODgYM2bMQJcuXdCkSRPUq1dP8J9S1q1bh2XLlrFbgx8+fBjLli3DsmXLkJWVJXptXFwcunbtioSEBMybNw8FBQWYOHGihbVJ67R6Qkzh4p7ja5ikWqUAy9G4wWCQ1OEpnVjN3baa+8G3bt1a0nvXrl07tqGpUqUKOnXqxJuuf//+7N8Gg8GiMbVeo5ar8EvZBMtaEeGWBfzXmTMrDQG2ylKXLl3Yv318fFCrVi0AtsoG99n27NmTVfCs4XZE1p0SF+5W7FwLcf369QU3lON2KGXLlhV8P6wVQO51jOXRGmtFmFtP3HKefvpptkMNDw+3GIRxGThwoIUCx82DW+fAf3Vr3YlImVPh4+MjuNZx48aNERAQIBjCwX3HuFZO7rO27pCZc9bfOvd6641UrBWNcePGsX/7+fnZzZtvl1u+crlwLeply5YVzKNMmTLsgNna+sx9ZgaDwSIP7jNUMnfphRdesMif+z1w4Q4sxWC+W6BIVuYdNZvNol4gxnNRq1Yt3vbbeoAnB+vv08vLCxUqVMAnn3zCHmvVqhU7aCxVqpSgV7F169aCoTVcxZA7sAEsjSHc+zAYDILhIWL9Dre/U7KHDlcGsXK4stkbBDEwITxA0TvPNVJwy+V+c7Vq1ULbtm3Z9k9oEyTr5zJkyBD2b+uV9X7//Xf2b+57zW17r127hr///lv8hnjgexe5980Ht42uV6+e6HxFR7COrWcGfN7e3qp4prRGkUL/+PFjRERE2H0IjrJgwQJs2rSJ9x8zkqtXrx42bdpk80J6e3tjyJAhWLJkCeLj4zFz5kzB0aRWaV2J2WwWbHi4ykFsbKxdF6wchbtChQqskmqt0HMtDGJwGxol+Pj4SFKmrTtJJbGDQiEIYqEyYp2AdWPHKMZRUVFsI+br6yu5LrlwlUY1Qpe4eXDzNhqNFp2AdVnMs7HeMZCbLjg42OK9Y+pMqkVUqpVbbNApVkdSvwnuwEaqd4hLuXLlUL16daxfv140nbWsfN8+3wBPrD6l1DV3OV5up2s2mwWX6q1WrRobfhAQEGDxLvfp04f9m6tscRUYPrj3KzSPRemzFiuTyS8mJkawvbUeVDAenLJly1oMhMXk4VqprZVae8/JejBonTf3enuWVCmychELexDKo2zZsqwc1apVE83f3nshBzGl27rOhc4Jwe0PrD0kXLjtVkBAgIUhx7ocbj7cdEKD0xIlSgi+K9bXMIYMa0MgV4YOHToI6j5cxZivTOtjYnVijXXfyjUicgfp3DLEdqe1rlfGwxQcHGzxPNxhlT9FCn21atV4V3sh3APrCUlcuDGAjDWlRo0akvO27ryEOjY1kGIpsQ43ktpxS+mcHUGJAsGNIVZyvdCzeeqppywUKaG8zWazRYcv1skJlStVPqkIWeulItWLxHed3HTcclq0aMEOpJUoCEqwd59yBpqOlB0ZGWnhmeKeUzI50vo9FGrflN6DkJIr9O4oVTKVDiqk5sEMogwGg2BoQ3R0tENx3FooPWrUixQaNmzIa6S0fieV3iNznZghVOz9t37PhbxhUq6Xc05KuvLly1t4c2/fvs3+nZOTY7evsLcbq3XfxdC0aVOLwYjQPEY/Pz9BD5o17ryinyKFvm/fvjh//jz++usvteUhNELImmoN32QuuUqPVEWPQcybIPXjEtuYgmu9EEOqFUbqPSnBUUVdbazz5oYyKXlOerByqCGDGgMq7oRPoXRKZBW6xlpRU2MQpjZC75R1G8FFjQ5YqE1s0qSJ4HMSG/gqwVmKhMFgsJiUKmaxdzVqyCYnDyn5q/F8tXzWzjJQiF3DnZOyZcsWu/sOdO/e3e6EeynliqXTKkxHTyjaWMrT0xOxsbH47LPP0LJlSzRo0ABly5YVrGi9x5c7g7i4OJtOIzY2VlZ8uhbIGbVzf0dFReHIkSMOlRUYGMjr6VGzQZJzf1IUVDkNsZaNttqDCin52RvY+fn5ObQvhZgiK7cu5aQXe+5CHZgSZU7p+6BksMR3TUBAAF5//XVs3bqV9xql5UpBiRdCyTO0vh+p34BS66Wjyq8UL6MYSttKsZAgoXRy8peLswYRWg+a1M5fy7qUkk5KKJ89evfujYMHD1pY7a0xGo2iYTdSv2tHPafujiKFfty4cezHnpCQYHcb5w0bNigpplgxc+ZMRRNwtEDuS8+3ggR3CS4l5fbr1w979uzhTafEQqlE6VHjQ1a7MZAqn1RLidjAREmD7mg6uWmVokbdieWjd4+EULliIXFK8hNDrYGIvbz4lI5jx46hcePGksq3lkEqYvXnqCIm5pFQMgiTapVW+n5IQY22XGkeAQEBFktbyy1XD7jaQOTIdfbmp5lMJrthN44iV4kX+wb1iiKFvnXr1m53o086jnQw1us/i02cUqMxFgufkYqQ0uZMBUtuWXI6XUcnuKqtjKiBs1zS1mU6653QixWSG3ur5gDXmd+WK94VPqS0VVrWi5bhMu7cxyv11GgpA4O9wen69estlt0Uuk6JgioXZ9XbiRMnkJKSInnfFCkDV0fnOrgjihR6Zlc0wn3Q0hI3YsQI3k1r3PnDcLQzk6pUyblOqeIu5biUhlCskxSzLkrtXLVURsTCCqSks5c/V0l2FY6GJUkNPXJUBr0MqrX8xvWgDKsR683Ng7sfhKP5WqO2J1YJanstucgJIXR0l2Fn9SFq5M1QUFBgd9NALmo+J3fWU6xR5ON47733MH36dLVlIZyEo/HJ1tcUFhYK5q/EBawH9G7VV7Ne1QqXcbSzVTJZzVF51HI1O2swogZaWuqUDIgcHQS4UnmWMjh1VHatw9n0YNXXuo1VU7lztM1QY6Aldk5tBVypkUMOPj4+ojvPammQFNKH9DAol4sihf7WrVuKNwMi3AetR7jOUPatrcVKGyStLfZyy3DUteiqAZUajaTUwZYaISRCZalp6dJaWVXSwTtrMqRaKPF4SUXuYFJpGJd1O8XkIccAI7Ue9KCsOBo2pbbiqrc6EXvuWrZ7SvOTUn9CO+Teu3dPdGEVPYVM6RlFCn1YWBgePnyotiyEihgMBqc1UNw4UrUVELU7ai1H+mrLIHSdWgqglnHIQsqvnHvXynIoFgLkaOevhfVNLmKTueSEPTir/dByQCr1ftWcFKtF7K4rBizW56TObVISUqcX5Ulvk4DVvEYNHDUOCG34mJGRIWt5aTXnf+lhIKcWihT6mJgYnD59Gjdu3FBbHkIlzGazwx2lWMMsRUmzV76aH5K1PM6a4Kd2OldY2KQqEkqVXVfFMkop12g0KppQpsRKKlWh0cNgUstOTm2PhFgHr0ZdiskkdwK/2vWqRly6kryllumqdktJHko9K0I4ahyQU3d6MFQ56uEWa4ulGl3UDHVzRxQp9F26dMGLL76IcePGYf369bh9+zby8/PVlo1QES1HrtadmpAS6E4fkdZxzHJxNNzDGqWNr9rWVLEGmPmt5XsjpxMXepddoTjJQe05M0rKVdOipjQPvbQ/WlqB9RC6ogRXDObVvM4eagykHfXSKO3TnPXdOMvwI+ahdXU/7yiKVrnp1q0bgKKbX7RoERYtWiSantahL944y2WutbVN6jWuCkXQ0u0uBbGGUKocXO+O1M5LaTiE1Ph3JWWp/U7oRdnkIrWjEwo7UeL5keoVVANXxNc7Ey3D6FyFlpZobn0FBASgadOm2Llzp+x85OIsb7JSpBjlxPoCe+9hQUGBZE+pHJSGHespjl8uihT64OBgteUg3BilsZFSFUC51yj5kJUqDFIbLiX3qgZKGmCp6cSucbWlSw3E7lVLq6aSAYarOhsxWdV+56V6/pxVF1K9O86Sx/q7Uxqa4OrBqTMHQ0Lvb9myZVGuXDmXyMTF0Zh1NZDqHVZaRxkZGQgKChLNQ2sZiguKFPoFCxaoLUexJy4uzmYntNjYWMTGxjqlfCWdYWRkJI4dOyaal/U1YumkXKM2cj5wNUfmWrr1lF6vtmVabRepli5gtfNWI45Tat6u8sAoQYr3xbosR98PNcL6lD4n5jqlRg1HkfquaN3eOstTUVy8Dkq8rXroTx2Fz9hz7949BAcH24TuhoaG4t9//xXMh/u/WBolMrorihR6Qj4zZ86Er6+vq8XgRUixK1myJK/M1h+l9Tr0fHnZy8NZqKUMO4qaVixHQiP4ZFGqqEupW6lWTTWsMFoOEKQqTu7cOTg6uJHqTVNShpTJc3LyV4L1u6zme6Q0P7UnikpBD9+jHKS+O1p5X5Ten1A77azYc7H85AzgrWGWrExNTWWP+fn5oU+fPpg1a5ZNejUMU8UVRZNi+cjKykJWVpZa2REqYu8lV2Jd0TLkwFU42jlzceV9u8Ki62jsuVRFXynODA9SEu5VHHGVF85V4W1KEPqGtBiYCLVvQn+rMTh1tJ7FBnJqD6DEzjsaOqrkGi2MT1q2TVI8ZXzHGQu9WnLYK684h+w4ZKE/duwYNm7ciHPnziEvLw9A0TqjderUQZcuXdC4cWNVhCQcx1EF3JkTb4RwhcKn17Kk1pcS66nSTlNKWWKDR7Wt22o+U60tv45amdSw0mlZX46WpUX9C+VRsWJF3Lp1i7dcMbnUGOAqSaemIUJtpV2N8EI1LbBS3yMtlT61lWQ1cOUANy0tDdWrV7d5j5V8W1LrS4qe46ooAkdQrND//PPP2Lx5M1sBvr6+MBgMePToEf755x8cP34cXbp0wRtvvKGasIQ8lCjnYh+VVq49OYqcXMVfLyE2jqKlu1TOOUfCK8Ty1qPVxFXx73qxHjuK2sqImu+BWF61atVC6dKlce7cObt5MHG/YvmVLFnSYfnUnN9gjdTv3VmhclojdE9a1LmauMLYpkXoo1AMPfecPY+tI4M8tY0NekKRQn/gwAFs2rQJAQEB6NOnD1q3bg0/Pz8AQHZ2NhISErBq1Sps2rQJERERaNGihapCE/ZRy9pZXKzi9lBaX0oscUonkGmlNGuhLGipyOqto5WKUquts+5XS+u9GoNsLlIHC0oHZcx1ahgxqlSpIlqWkjz58hD7BrVsa63bNi2NQGqHHmkVJ+9K1PbwSakvOUqyddq0tDR2lRspMqjxTrnbM5WKohj6LVu2wMvLC9OnT0fnzp1ZZR4ostTHxsZi2rRp8PT0xNatW1UTllCG2o251I9XC0VRbZerWFlC1yhVyO0hx73vqKVcqeVFSQcoZqGRWpdMOqXuaiWoMShxtHNVywqmBDVDHYRQw9Cg9F6lxJQ7Iw+1UCtEwFmeEKmo+e4pDV1y1oBISbusF8OY0rDZ/Px8lChRQvC82HHrcl0xz0NPKFLor169imeeeQYVK1YUTFOxYkU888wzuHLlimLhCNcitXERa5CUNDZ6aLic2aBLQY2BjRIrmFZhVo7koabipEWcpB7eXyFcJYNU67Ez3zdH87cXFiB0jZJzYsgd3LjKW6vEYmowGFT93vnyF/vNhzsrgM4yMDh6DaBtmJmzrnc2ihT6/Px8+Pj42E3n4+OD/Px8JUUQDiJn1OoKBUTJ5CRnWme1DD9QG6VuUC6utuzprU7VQu1QE7llqoEaiqba7m8lVk2xtkSpxV8Nj5UjOPO7VeMZylX0xOrOVYM6NbxmWoYkCqF2mUr7SO5AWOh5Wg+WlRoGi2NIlRiKFPrQ0FCcPn0aubm5gmlyc3Nx+vRphIaGKhaOUA+ljZCSUAcpMnAto3IaDamDD63CYtTIQ21Ll7spinIbWS1jIa0tgHzn3RGp4WNSztnruPnOq/3MxDwpSi2AaoQUuULJUgMtFWNnWXTlpuVDrJ9wVruqtgfCWR5HpWVxr3n06JFFyDZzTg/fhTuiaFLs888/jxUrVmDq1KkYNmwYwsLCLM7/+++/+PHHH/HgwQN07txZFUHdHVfvFMtFbYu80o9AzY9WS3ewHpA6sJFjNVHSeGoVV20wGGx2CuQr15mdvVheYgqR3LhqZ3deUt8dqWEnasqil1hZufdu/T4osVir4RWU8my1eN9coYBp2V8pVWJdGRZqDz2EqVkjZQ16QNm3r7aXXe86AqBQoX/ppZdw5MgRnDhxAu+88w6qV6+OkJAQAEBqaiouXrwIk8mEGjVqoHv37mrK67boeadYKaihyOklftfRaxwNEVCKo5262uWoiRZlqtkAa9mYaxFWoLUCpyZqx81r+dytB2iO1LPSUEipeThT8XTFs5Gan1ILuJbeFzXq39EJpFLlETO0yK0j6/RpaWkoW7as3euEjFHuoGQ7E0UKfYkSJfDFF19gyZIl2LlzJy5cuIALFy6w5729vRETE4OBAweys5cJ98NoNMoOXZGqCKvRWAp1plooM3pqOLS2qDsariQW2iD1OjHFSU3UHpxqIafcd1jpO6/0uTkqhxKLqdi7ojZibYuzYnTV8O5oFYao9oBM7XLltIFaedGk9kl6CzUR86Cp0V5ItdArKVconNJVg09noHhjqZIlS+Ktt97Ca6+9hkuXLiE9PR0AEBQUhOrVq0uaNEu4BrUtvWo06Fo1ZO72Uaod0qJViIxYWVqGQ0gNPZKD2p243j0kcp+PUm+Vlu+blgMqOWFAfOekXq+1106PnhlHvRhKjEJqtBlaen3crY8SQsk3mZaWhho1athNZ12OVs9Dj9+MHBQr9Aw+Pj6IjIxUQxbCScjpYJRMinXUDadWvmqW5WgstJSOSKlsjirQatW/3LhhMUuLo4M/IeuMK3FVx+1oXaoRGqI0bynp1Lbecz2T9r5pKW2ps5672aztEqx6VDyVPF+93Yfe2ikuag/Yrdvle/fuoVmzZhbnmf8dVbS1nmejRxStckPoH6mT9uTA/diEGno5k9rUjG131O0ux32oBxe6mnWnFD13oEoVQKl5SM3bFVh/W3rvpLQInVCzXLHrnamsO4qQB02NQZWa4ZRKkWIosefRkHIfWn7jUj0uzjRYaOkFEoqhl6PQq+lxdCStHpBkof/1118dKqRfv34OXU84jtSPUkpjr6XFTi3kKglahHLYK5MPLb0QSgY9aivtatero+XqXdlVih7CfvQ84LNGTpiNknRaIsWb4Ei+DI5aSdVQDLU0eGilQKqF2oMmJW2no/VvXeaDBw9QunRpSXk6Gz1823KRrNDLtUZwHygp9PrF+mN1VEGSY2FwpBxA/QZOaiiHVohZiJQ8F0c9MfZQ0uE7q5FUqqCpjRrvqKOyy/E+yS1TD4N3pWj1bNR616QomFKfrdbPydFyxYwQWirnfOXxXVNcDAKOhnsqwV79y/X2S+13xN4dd263xJCk0A8cOFBWpmlpadi5cyfy8vKKbcW5G3oMH5BiWXKWDHLSOyvcRUknokTJ1qKO1bZwOap8OTq4cZXF1pntp9ohBkqUKjXKUhO15o2oea07ecPUDpNyNK7aOg8pbam9NtVdwiS1aEuk1pFc5AwCHMXdBmViSFLoe/XqJSmz+/fvY82aNfj999+Rn58PX19fdO3a1SEBCcex9/IradSklCUnnl6KbHqwsroqPzmdiN47AUeRUn9KvYlqpNPqei1QYhFztBwuzlTg5ZTligl5SlCjHpQMVtWal8WHkr5BSd5q5OdK1GyPXDHYKCgogKenpQqqN0Vdj222GA6vcgMAmZmZ+O2337Bt2zbk5+fDx8cHL730Erp37w5/f381inB79LRTrFSElEgtlCUlSLUEqRkPrNb9OJqP3mJ81bbEieXvaEdkna9Ut6xWg0t3UySscVUYldRzfNgzNkidhyLX4CGWn1LU/B6U5OcqT4CW+Sm9JzWNA1INYlLPKclPy287LS0NQUFBgudd5XVzZxxS6B88eIC1a9di27ZtyM3NhY+PD3r27ImXXnoJpUqVUkvGYoGzd4rlKipaKrha404hDK4azbvCsqp1WY7OxVB77oUeOnipKP3e1Yw3tReaJtQ2OTOcRMn9Cin0Ytc56xsSq3Nnhqk5CyXWdjnfhtpeJSl5qBG77yzFXYkXi3uN2C6xegu1dRcUKfRZWVmIj4/H5s2bWUW+R48e6NGjh25nLD/puDru2/qckjhE6w5USaPmiklBgDQ3t5z4fCWhTXrBFTKpbcVUgprvq1rowcWtRBlwFUoGII5O0BQ7LqcdVaKgqh3eJiUPtb9PNfoaJQj1VUpj8JWUq3Y6qQMiKf1TWlqapF1ileQtJltxRpZC/+jRI6xbtw6bN29GdnY2SpQoge7du6Nnz54ICAjQSkZCBaRaNa0bHkcVDUcbRWd+lI66QZVeJ1fZVCPkyVWNotjARknYjtbudEfrT4p89uSR+wyUxkirgZR60VoetdscIYUmLCyMtyxXeGXkoIYXhPEAM3kpCceUitr1qcRDp2Y8th4GplLRMsT03r17NhZ6NY2I7lTPaiFJoc/Ozsb69euxceNGZGdnw9vbG926dUPPnj1RpkwZjUUklKBE6eP7MOTGiMpRbtTMW+uQCDXKciQPV8aVOjMGVS5quMXdKQRNS4qDl0Bt5U8snfWEPrn5K/XIqY2jXk81UOJBc1a7ZK8cNQcFzm635KKm8pyWloaaNWsqKldL45s7I0mhHzJkCHJycuDl5YUuXbqgV69eCAwM1Fo25OfnY/ny5UhISEBWVhbCw8MxYMAANGjQwO61Fy9exNKlS3Hu3DkAQEREBAYPHoxq1aopTnvq1CmMGzeOt7wZM2agVq1acm9R17gqTlUNioOCZY2j9+ToXApnxuSrnYfSunsSOwVno2TuhFAeSpUrRz1vYkqxWmW5AiXeIVd5hKQcV7scveTnaN5aGzX43gk+Cz03Ly3nfejBk6gFki30BoMB+fn52Lp1K7Zu3SqrkHXr1ikSbtasWTh48CC6du2KsLAw7N69G5MnT8bUqVMRGRkpeN3Fixfx8ccfIzg4GP369YPZbMaWLVswduxYfPPNN6hUqZKitAxdunTB008/bXEsNDRU0T26AjUUIlc1Glriqg/YldZ3V5TpLPmUhPAIoQclRe081Ai9sLYyO9qhOrNtkhJ6aM8r6Or3Sov3Usq9613Z0dLroySO3Bpnhvo4Uo49L5IUD6nQ9fYmxYoN9NX2dhQXJMfQMxVYWFiomTBckpOTsX//fgwePBg9evQAALRp0wYjRozA4sWLMWPGDMFrly9fDm9vb8yYMYOdpNuqVSu8/fbbWLJkiYWVXU5ahsjISERHR6t5u5og1DBLnazDdy0fUt2lrvrApCgPcmTTe2cmF1dNylKap6PuebEOWcn7Kze8TS0XvpY4OmDXWhlUYzAiFbE8TCYTbxpnDtLVGMBIyUtvngaldS6mhHLDT5X2D44gp23T0oItJJOaFBQUwMvLi/2t9B1XI+yyuCBJod+4caPWcthw8OBBGI1GdOjQgT3m7e2NmJgYLFmyBKmpqShXrhzvtWfOnEHDhg0tVtwJCgpCZGQkjh49ipycHJQsWVJ2Wi7MpGAPDw+1bllTtHQZOiu20ho1XGVyXfX2ZHL0GjUaaa2etRxlV67CpcX8CCnlWiNWl+5isVSq7DpqKbeXv1Y4Gi6jZp5SUKpAq1WmvXOOxpmrHaeuZn5yBj9q1r+SNlpOnbjKYq2HuR1cnKWX6BVVNpbSgsuXL6NixYo2a7czkyiuXLkiqNDn5+ejRIkSNsdLlCiBgoICXLt2jY13l5OWYfbs2cjJyYHRaERkZCQGDx5sE4JTHHD049BLLKnUxt2ZI3o1Yz+daa1Usxw91Lca12s9t8HR70Tp85Ay2BJDTWugPde/s7xM1sq4lHvUm7XemfNJtP7G3UlpU+JZFOsnpBhalMhmjdp17KinSGp+TyK6VejT09N5J94yx9LS0gSvrVSpEpKSklBYWMha0PPz85GcnGxzrZy0np6eaN68ORo3bozSpUvj+vXrWLduHcaMGYOvvvoK1atXF5QpOztb0n17eXlZuKEcQQ8TeVxhpVOj43enRkLLQYCj11jD7YikluVuioSW8btK0rpi4CxnUKK3b1KJFVeOBVaJ9VjIuCIWGiLVgyn12fDdI3NMy2eopaVcyjk9zp9R0j7qJQwOAB4+fIiQkBCHyyQs0a1Cn5eXx6vYent7s+eF6NSpE+bOnYv//e9/6NmzJ8xmM1atWoX79+/bXCsnbe3atVG7dm32d1RUFKKjo/Huu+9iyZIlmDx5sqBMgwcPlnTf/fr1wyuvvCIprRykKLxy4gb1EA/vTnnrEUeteVLj0pWgpfdEi/hYNV35elMg5MTyqu2tUCqTWuXIyUeuR1MNj6UzQ/mUoPXz1KrNVtpGCFmZte5bHB1Qadnm8PUN9+7ds9Cl5KI3I4Be0K1C7+3tjfz8fJvjjILNKPZ8dOzYEampqVi3bh327NkDAKhRowZ69OiB1atXw8fHR1FaPsLCwtCsWTMcOnTIwspvzaJFi2zCh/hQyzrPRc5L7WjnrDTOWqjxU8P6IIazFAM145PthR9wcTRWU879KSlLroVPDbQeqIpZ+pzZcTpyjR68e2ojdZAoJ37aFeFQzgyZUbsMJbHearZ19tKoqfC6UziQGsh5L/l2iZXqeXImemi35KBbhT4oKIg3rIaxnAstd8QwcOBA9OjRA9euXYOfnx/Cw8OxZMkSAEDFihUVp+UjODgYBQUFePz4saDS7uvrK0mh1xOOukfVatCUNLJ6/hC1nsSqVA65uEJuLSYvS1HwnfnMlAxoha53FXIGnXoJGWCQGi6k5P7kKOaODsb18B6ogTPDdKRcV7VqVdl5aaHcC7UTarcZWrxHDx8+tKvDSZFBjf5AL/2xGuhWoa9atSpOnjyJ7OxsC0U4KSmJPW8Pf39/i/Xqjx8/juDgYN615eWktebOnTvw9va2a813FVq/sGIWFUc7JSnnleavtF7U8Fyo6RlQ4tbW8h1QI5RAS1e9ls9dizAFuffoDqESauanRry6Myf+qo2az6C43Y/S/KwtxNy/la5sp2V4kJZ5ONq/COVtbaFXiqOGA2d545yB0dUCCBEdHQ2TyYTt27ezx/Lz87Fr1y5ERESwK9zk5ubixo0byMzMFM3vwIEDuHDhArp27QqjUfy2hdLylXHlyhUkJiaiQYMGdvN1JWq4IxnkvNiOKnNSrZWOWjXFZJBzTo38HclLqqIv5s4UUnbU6pD45FJDoVJirdEiDEZuPckJ8XAUra2GQmVZo7biruU1Qm2LGs/Nna2BfIiFSigZqKoRSql3RUwP74DadSQlP3sKPYU5yUe3FvqIiAhER0djyZIlyMzMRGhoKPbs2YOUlBSMHDmSTXfhwgWMGzfOYjLp6dOnsXLlSjRo0AClSpVCUlISdu3ahYYNG6Jr164W5chJ+9VXX8Hb2xu1atVCmTJlcP36dezYsQMlSpTAa6+9pn2l6AgpI3otGiqxuFc+GbRGidXbmROkHO1Q5Vje1Rw0qv081bbAKlUYpCiBWlvclKDVABRQfx6LMwfcelM6lHxfjt6rFmFwjubnqjlVYnkpmT8gBbF8O3XqhK1bt0q6TkrfqmY7LKbQq/UcHK1PPQy25KBbhR4A4uLisGzZMiQkJCArKwvh4eGYOHEi6tatK3pd2bJlYTQaER8fj5ycHJQvXx4DBgxA9+7dbdxlctJGRUVh37592LBhA7KzsxEQEIDnnnsO/fr1Q1hYmOr3rxVqu9PV+AC08A7IzdtZKLFcquEVUeO5K2ncHa1/qe5gpSFFSt49vcVdqq3EqlEnjsogB1eEJanRZmnpHdJ6sMEdnLr6/dcS6/kgagz21PZOCOVXsmRJhIWF4fbt25LzUlKOknfNz89PNA9XWNvd3cKva4Xe29sbQ4YMwZAhQwTT1KtXD5s2bbI4FhoaiilTpkgqQ07arl272ljtixtaWuIcTatGnJ9Yo+HMkblUT4PUc3LS2LtO60bNWbHoUsuXUudavg9q3auWMop15FrOzRBC7XAeqflz827UqBHGjh2LadOmiaZTEkJoLYsePC5KQ/gcwV5eUudIKCnX0QGulONS5JBbrhpzSpQgt3/iSy/U3qrR90uFG47pbug36JtQFSmWNGeGyGjdIUvJT6klWk35nGnVVNsLorZ7WEo6tdz7ane8QmVKtWA7qhQ76xqtcZVMSpS3SpUqoWfPnrLydqVnR22DgKut864Ks1SKVgYZsXqQOq/PmfNppLbLjnr/9P4+aAEp9E8AchQ0KR+eWh+K3Hy0+EClKlJqho0oVfrkotTVL2YdUbPBVQMlMcNaWHCZ30rj4/Vef64u156VWk+dt1pzJKQozErnpPCVo0Q2tdBqgK0UsbkuenrXpKBGWKK9fPl+2ztujZYhk1qHAusFXYfcFCfi4uJsRsuxsbGIjY11SvmucItrgRJruxoNs7MsulJkkBPTKUUZcKa3RCpahgA5I7ZYTdR8x7SYWyAFscGfo/Ni1FBqrZEik9IBs6vCGoVQU4m354HQ0ruphseQG/LhqAdC7cGW0nK1HJhIDUl0RRiLlqF3eoUUeicxc+bMYruxlNbxd2qGE6gdmuAsV6CWHaMeyhWziHHLVSqP2HVqe2kc7QSUxiNrqYQKYe+5yc1bD54KR5+z1t+m0jbHUXn1aLHWm3FKS0+uEM4c1GlRNl9eWjxXue+vuynzAIXcECIobVCkjsa1agzELICOxoc7M+Zd6BqpITFqKINqxNNLscjK8TpILUfqOSWoEerjKq+ZlmW5YydojZaWPetnrmWYnxKUeqJcEaqjtSGJQQ1PrhrXSH1XnPUNqmFMEUurpoKvt4GfVpBCX0xR4tbWooF0ltKih7AMpfkpaRil5Gcv7lhu+Wpcp3XDqocQISG07OzlDGa0kkPpty8lnbOUNwZnKUVqhxs5y6vqTO+t2uhh7o8SXOG5k9P+aPms1Y73F8vbncOTKeTmCcHR0a4a8YpS85ZyvmvXrsjLy+NNr8b9ST3nrshp4NQMqVCKVm5ROR2Rlveo9oBPSZladpqOIiarGnWnZpiUdblqv7t6NDYoydsVyPmWhBR/Le/JVZ46sXbQnQdvXPQe9qcGZKF/QlDDmqr2yNWRmLbQ0FCbjSmE0NK654rGTi0XsNoNsNQ6kus1UOJOtg5ncLSRVqoYKhkoOtMaLTVUTe+dupQQOTVCG4Tytr7OWd+WErRUbMTmVChpi9QwtMipOz0ppa6MjVfremuU9l2OepGlhqlKlUevkEJfTFEatyb1GjGkNOhKrYNKZJXaMDirMddayVbSQDlLYdO68WSuk6MI6Fn5ciV6juHW2krtyGBL7blDSuPatURpGJcew/TkyqDGO6okHE1pWVKukdp/Ki1TrpdXi35aD++R1pBC/wQi1lk56lp0lcKsh7AJPaA0VlkNi66rUWMAqsRSqEek3oeWMevOrDNnvZdSPRpCx5V+d0pQw8ghdI1YOWrek7WnTUk5Sr00SkINtRzYCOUhx5MuVBdaKsly6khNr6o9OYojpNA/IaitnOvNHe9My54e3JhadjZc3NWqIbWTU9rZKJVDD6g5x0SqJ0TLNkLtOTNK0imxcMrJX03s1ZfcQa3SwZSWz836Gj0Yk7RCjUGFGvM51FDUmXNSB1Ri8giVL+d6Vz9buZBCTwgi9BGq0Qk509KrB+u9q6wDasYWKy1XSgPuSuuJo4qFGgqDO797fPeuhTtey7A86wGfXK+NGoNnNRD77uTehxzF31nKuRhy5+ZIvcYatfs/NZD6zsv1oGsdHiqUn9IBspJr3F2J50Kr3DgJV+8UqwQ5rjwlyHXh6sUK76jb0lFFQC2Lk9ruTa0aQq070OLg5lXbsq1GJ6fl+6W1xdURb5bY9UoGOnLuVY0QKqmDbDXfbSX1JSecRIl3wdH704tiKOU+xOrI0UGP2GBZ6Bq1kGKUdKY8WkMKvZPQ606xUhs+tdF6sKAELeOn1Y4zlSqr1MZcDRmkxhDzpVMaBiClfDn5qjG3wBXvr1TFR8lA1V7+SsK/hORTGyX3ruS91iPWz9PRtqBUqVKyZdBDmKUzQ+W0NA6IlSWWRk/vqdlstjFscpEyIC0uoY9aQCE3xRRXupGkfJRlypRxOF8tGypHvQRy8pZ6Tm7+WljyHW1MtQ5N4VpJlaAkrEPOe6kkLMBRF7OzFGapz0Zt1BjICeWnZViBK1EiR4cOHZxSjlgeUgfcWnqQlVzjqgGtVNQOYxG7Jy8vL+zdu1d2eVLQylDmLpBC/4SjVNly1BKh945SSWOlNCTIUZemqyxVSspVOsgQc+FKkU2K69UarQeQUu5Diw5GSkiF2gMitd8BqeUqyUsNpLaPSgb3Wg6KtTY2KEHr+T58aHGvcp+n0ntVep2Wlm9rmfz9/WVfI7ccpe+5njwacqGQmycEJVYnbrr69eujbNmyOH/+vOpWaldOMtLDiFyu7Fo39EobaSVhMc6yWNvLkw9Xh9FYyyAHJUqC2lY6tVEiu5JOXapSKzcmVwvUHpRZ34eUdtrZiqejiMXac//WQ6iVGkq2I/K66tkq+QaV5sfFVd+xWpCFvhgjtzGwbsS413fs2BFvvvkm7zmhv5VOqpJ63NHGTs4Hq9XHrYYlVGtl0x0bOXt1ouYgSkvLPd9vJXnIzc/R90vJXA45Mkk57my0+ia1qEsxlBh8uMfUlE9pH2KNo6F4SsoUQ6nRRCv08A1pbZTTUq/QC6TQF2O0HCU7C7FBhlSUTNqTMmCRgxpKmquR0/DpLQSCi9LQMin3K6Z8KQ3J0hK13f1S8taiLDXhtjlayOZoiKKWniMtwye1HvhKKdeZypuj9WKvz1Di3VTzekA4fE9JiKPYdXLlelIhhZ4QRA13m5QGJSQkRNEkWTUsx1JkVUNJkyqDGmjZKatthZSrnKhtedcCvcUh66FOuOhhwGLvGiXtghDOul+tPY5SDSNqvv9yYp2VKINq14PUMCwlMmjZ16jRZzjruTszDy56a0f5IIX+CcSZ4QNSyoqOjsYzzzyjarlS5FFiqdXDRBsxt7bSRlWKfHKulxKnqgSxcpQMNuyFMzhaL0rSqY2W37tQvK4c66IerKRKkPquODMWW4qi6Mz3UGtPjzOfr6M4OpCwRmrb5Kz3Tw/v25MOKfTFFDXcoI5+iFJH8HLccErSaNkw683iqsR6ZI2zYvLVCF+S2lkp8apo8Q1JseA5GlamlzARZ8ZSC6VVw3OnRA4trXnOsjzas7a7GncaCKo9KJHa34n1wY6+o0qMH1LzVHsuhtzy3RVS6J9AlDYGcpHzccgpa/jw4UrEAeC6OE61EWuYpQ6cisMkPrF60HLQoqWrXilS7knrDkuqwuBOHafcAaAWyogzFUwp6P3+rFEjXEhNGdRWpqWeU7McQPpkY7kyaeGFVpKHnge0fNCylU4iLi7OZoe02NhYxMbGukii/5D6UcrNz16eShuewYMHK5ZHbdQOWXAmrlKqpAw4xDo/KRYog8GgSsOsxBsgNT9Xoeb3LqdOmE5aaZugZKDqqEVdiaxKB7RSvUpiskr5NuQM7KWUq7eBs3W5Yvckdr3eB516aEvkMmTIEFStWlXwvDvek54ghd5JzJw5E76+vk4rT42G0NnMmDEDo0ePlpze0dAJa+VCb1YrqXkrsUo4GtYhRya9xfWKodTCoxf5nY1SBdwV9SWnTGcM1NWwJsqx1Mq1UiuZY6QUNQZyQoMZtds9Jahxf1Ku4UvnjDZXah1169ZN07LU+G71PpATg0JunkCkfhDO7nRbt26teRl6jE+WipCFTe71ashgLYc7xbMqLUsNa63U/OTC7YjEBhvcdM4K89E6P6nPTI25E2rLp+Q6rQeTaniitEJpqJujdaRE6Zaahx6uUQM99AFK++riYpAhhb4YI1cBtOeyVRshxUINy5Xa6CGuTklnpnZHpNX7ofVETjlhO3JlUnugpFQOJXk7611Ww6rmigGkVLmV3J+j4UBK04ldJ3bvelDopaJEsbOuB6nPTW/KoLM8toC2gz81PAtKBvRKy9IDpNA/geihE3dX1Jiso8RipHaDKydPJROa1D4nJIvaE6fU7qyLQ2iOWjK7YgCo1MKpZPCgREHSMp0a4SVSvQSuaOvV9phx87R+B0qUKCE5D2ehJBRJynG1UVuRlqqkS/0W9OKBVwNS6AkAwPbt222OqW15dLQTqFatGsLDw2XL4KrYdimoUceOTs7T2hIdEBCAiIgIm+P169fHs88+Kzs/JYq/1HNyy5GDlqFSUr0RaqPEu+EqC6erBleuUhK0jDXmomU9ahE2IXWQwqVMmTI4duyYZFlcidKwJCV5aelN18pDMmDAANSsWVPwvDsaXRhoUiwBAAgODka7du0sXnRXxe9xP9hq1aqhbdu2yMzMxPvvvy+YztGyXDkydzSUIDo6Gk2bNsU777xjc84VVlHrdOXKlcPy5cvRuHFji+MDBw4EAHz33Xc2eajdUXh7e9u9rkqVKggMDJSUnxB6mGNh/TcXtQczYgMJPYT6aImzFGa181Y6sNGDJVONPskVsus9TAfQTiYxr7azZQEgWY9wR2s9WeifQIQa5tGjR+P555+XdT2grME0mUzsdRkZGXj48CFvuqZNm2LSpEn49ttv7eYpBUeVZz1+5IGBgWjatCkA4OWXX8Zbb73Fm07JJDupnb/UDqtdu3aYO3cu7zmG7du346mnnrI5/vbbbwMAPDw8eK8rW7Ysypcvz5bPlSEqKgq7du3ivY5JFx8fj9q1a4vKxofYvesxbtNRD4ejeesRLy8vi99S7t8VbUGvXr1QsWJFh/JQe6K2ljH+Yn2L2vkJ8eqrr1q0C+70bXDLHDduHN5991276aQc50MPITwVK1bEBx98IFseLdtEZ0IK/ROO2o0TNz9fX1/WMrpgwQJERUXxpr137x7u37+vSA5X4GjDrGRQYf2cSpQogaefftomXWRkJJo0aSI7Py5SZbJWgqyv+/DDD+Hn52eRLjAw0G6YTXBwMO/xN954AwDg5+eHQ4cO2Zx/6623MG3aNLzwwgsAAE9PT8yYMYOVrUyZMuI3ZEW5cuV4BxZ+fn4WMbVM/nzprOtIL7TmrCjl5+enSRladoC1a9dmO25fX1+ULl2aN139+vWxfPlyu/nVqFEDe/fuRWhoKNtmWe8bIgZ3T5Fvv/0WL774InvOESPC9OnTLX6PGTMGISEh7O8WLVrg5ZdflpUnI0f79u0BWA6QlSrMSowFelOQatSogZiYGPzxxx/ssY0bN+Ldd99FnTp12GO+vr4oW7asK0RkkVp3kZGR6Ny5MwCgcuXKCA0NBQBUqFBB1WW0R44ciRYtWsiWTypSDUt+fn7o378/fvvtN5QuXVr1OVB6hxT6J4CwsDCUKlWK/c19SevVq2cRCuHp6Yndu3c7VB6T/8yZM9ldXZ999lk0aNAA8fHxNunfe+89DBkyhFc+qQQGBqJatWro27evxfHp06ejXbt2vNeITU7lHm/evDm6du0qWyYxhDo2f39/1KpVy+41Pj4++PXXXwXz/+2332TJIJfdu3fbDNAA4JNPPmH/7tu3LzZv3oy2bdsqLkcIRukqWbIk/P39ARQpYB4eHpg5cyabrrUDS6H27NkT//vf/wAA7777Lnr16gUA2LZtGztoEGPTpk029y4nFIZvwKYWzEAHAPbt22chw4cffmih5Lm6U2OeNVemkJAQ9O/fH6+//jqGDh3KPidrvLy8eOdvcDEajfDy8oK/vz82bdrEDtYSExMBSFNOXnzxRfZZN2nSxELptsZsNqNBgwZ28wRg99uJiopCz549JeVlzdSpUwEA1atXx++//84eVzqx9s8//1Qkh9aEhoZaKOQMgwcPtng3WrRogXHjxsHHx4c9FhYWZnNdmzZtsH79etEyZ8+ezWsMYLA2fNkb+C9btgyNGjXivZ5LtWrVLMIGo6Ki8N5779mkW7t2rcWgkw8+o4kQsbGxdr8ze7Rv3571IPTq1QvR0dEAitojuZ7T8PBwSd6Y4cOHIygoSKHE+oMUeicRFxeHd955x+Lfli1bNCuvXLlyKFeuHABg6dKl7Cidy59//onevXuzoQwMAQEBssri+1B+++03+Pv7WzSORqMRVapUkZW3VFq2bIlVq1bhww8/tDjepEkTVKhQwSa9nMbq+eefR79+/WyOt2rVirfBd4TSpUtj2bJlDucTHh6OuLg4tGzZUjTdqlWrFOUfEBCAihUrIjY2Fp06dYKnZ9F0nO7du1ukK1WqlIUixhcu89lnn6FGjRq88ev79u2Dl5eXYIfXvHlz3gndasAN22ncuDE70PL19UWZMmVQs2ZNbN682WKwzBASEoLSpUsLhgcJsWbNGlSqVAkARAdsWtK3b1+LztDb25t9vmog1XpXvXp11K5dm/1WPT09bSYmDhs2DF5eXihZsqRoXq1bt0aJEiVYb8SQIUPQqVMnAMDvv/9u8Z2UKVOGtWRy8ff3t5iL4Yj35eeff0aFChUs3p3IyEjedkYqpUqVsmhv+bD+PoGi99xaqWEGeVz4nht3wKzmO+Io3Pe3Q4cOvAO+4cOHs4ssHDt2zKLfi4uLY41RfHkz71tYWBhvHxAdHW0zb0eIBg0a8Nb33Llz2V3Ra9WqxeaXmJgo6D1avXq1heIvRIkSJex6S/jklzLAGzp0qKJ+sVatWuz71KtXLzRv3hxAUXvEHSBzZe3QoYOkMGEhuQcPHmzxzTz//PNo06aNbNn1gn6+wGKOs3eKHTVqFAAgIiICXl5evC+0lg2wvdVopHbqUhrFuXPnIjQ0VPCj9fLyQlhYGBo0aMA2DHz5cmUqW7asXQvp119/zSoYI0eOtKjP6OholC1bFps2bRK83sPDQ1Dmzp07C4YRSKVDhw7Izc0FAPzwww9IS0uzSVO9enX2b29vbzz11FPsQNCasmXLWiggISEhmDx5MoAiBcUehw8fZpWgKVOmsMc7duyIjh07IiUlBd98843FNX5+fvj4449hMpkAFE2g5XYWRqPRrhJjTeXKlVGrVi1cvXoVU6ZMQUBAABuWERwcjHr16iE9PZ1Nbz2ZFyhyWa9YscLiWO/evXHt2jUAwNatWwXLr1+/vsXvb775BgEBAVi4cCGqVq0Kk8nEhhepgXV4EMNzzz2HatWq2b3+yy+/hIeHBz7++GPJZYaHh4u+vwaDAW3atMGDBw/YEKuJEyeyz1npiiJxcXHsPArgv+98xowZyMvLQ58+fdCqVSu0atWKTWMditW9e3cLj5zBYMAzzzyD2bNnw8fHBy+88AJq1qwpe7BmzaJFi/D48WPMmTMHf/zxB3x8fBATE4NmzZph7969gtcFBgaiSpUquH79usXxWbNmwdPTE0uWLLG5pm3btnj66afRunVrSe8WNwzryJEjvN44QPru3ps2bbI7d4YhIiICJUqUQHJysuzQjXr16uHUqVNsu+rh4aGon5O6mtrIkSMtfvv6+uKnn34CALzwwgtYtmwZBgwYAD8/P7btrF69OtvG7ty5E2XKlOHtB6wNUaVLl0bZsmXthoJVrVoVX3/9tY1xy5oqVapg8+bN2Lx5M3x8fHhlsK7/1q1bo3PnzujatSveeecd5Ofno3fv3hZp3nrrLdH3V00Yr2lhYaGFd5hLmzZtkJ2dLZhHs2bNMHnyZEyYMIEd5Pfs2ROHDh2y6B/dAVLoiylMZ2P9sckhKioKMTExFsd8fHxQqVIlWW6qOXPmKCrfXqderlw5rF+/nrVoClGiRAls3LgRAJCQkGBz/sCBA1i5ciWefvpp/PLLLwCKOhU+C2m3bt1QpUoVrFy50uI4s2ILw+uvvw4A+Pzzz9G4cWMLJYPhyJEjNh0Cw6RJk3iPHzt2DDdv3pRc/15eXujSpQuaNGliN5SKsYSaTCa0bdsWHTp0YM9t374dpUuXhtFo5FXepXS8XIsm03By4SpINWvWZMOnuMrFM888w/69efNmtl537NhhkdczzzzDTh708PCwsOD26tULvXr1wssvv2wT3vTUU09h0aJFFsd+/PFH9u+XXnpJ8P4+/vhj7Nq1S1CBDgoKQrVq1TB//nwsXrwYALB//340a9bMYrBVvXp1hzqSOXPmwM/PD0uWLMEff/yB48ePs+f8/PxYBZb77q1evRr37t1jvUO+vr4IDAyEyWTi9UAwREZGomfPnli6dCl7LCEhAb6+vrh79y5mzZqFWbNmoVSpUigoKMB7773HDgy++uorAEBWVhZmzZqFrl274tSpU5IsbkJwr927d6/Fu+Pt7W0zkOcLaTEajTZK08KFC9m/5br/AwMDUaFCBdy5c8fiOON5+vPPP22MASaTiS1n0qRJCA4OZtumWrVqIT4+3mKgOXz4cBuDUWBgIPseVatWjXfw9tJLL9lVXpUOXD755BN4e3ujZMmSCA0NZZXYhg0bCl7DrQvmXeQqmjVr1sQbb7yB+fPno3Tp0ggJCcG3337LtpeLFi1ivWkbN260aykODw+3acvlYK0EG41G1kLu6+uLWrVq4dixY8jLy4PJZMLzzz+P2bNnIy8vD19//bWsVbXCw8Nt2jmgaGDOvU8fHx+0atUKq1evFp0fYzAYUKFCBbzxxhtYvXq13Xv09vZG6dKl2TbXut/lGxBs374dCxYsYOVUCl/eI0aMYP/u0KGDjULfoUMHREZGolGjRrhz5w48PDx4+8CKFSuiYsWKmDBhAnvMaDQ61A65ClLonxCUTFLx8fGxiT38448/UFhYCKPRiFmzZknKp1mzZqrJxMVgMPAq8wMGDEB+fj5mz55tc65FixbYvHmzxbGSJUti8ODBKCgoAFC02gnfShItW7bEK6+8IlvOH3/8EcnJyezvDh06sI3bm2++CQ8PDwwfPhyXL1/mjfW0xt4AhouHhwc+/fRTm2NiGI1GBAcHY8+ePaziKTRRlQvT6Hbr1k1RXGLZsmWxf/9+AECdOnXs1gXXgmU9SY0bI37gwAFejwx3cCCV8ePH2xzz8/Nj71cs5jkmJgb9+/cHAAwaNAgALGKXHaF3796IiYnB22+/bfHuWnsvXnvtNVYGLtWqVYPZbGYVgL59+6Jnz56ioSy7du1CmTJl0LJlS7z11luIi4sDAHYAwLwPTMcoNBna39+fHbzXq1fPbrsydOhQSd8AM7dCDOtJp45y9OhRi9/MoKJXr1548cUXUa5cOZtQHT4LMneCIaMAW4cJcgeaTGgGl6pVq9oNqeN7nxm6du3KDk47duxoERMeGhrKTr4vU6YM6wkEitrTBg0aoHv37jCZTOx8kxEjRsBsNrPtj7e3N95//300btwYWVlZ2Llzp6g1PSEhAf7+/jAYDPjrr7/Qv39/9OvXj50nwQ3nNBgMNso8owCWKVOGVd48PDxQo0YN0TriMmzYMPZbl/PtMu3Ptm3bBNNwDVj2QkJ79uyJVq1aYdCgQRg2bBhvGu4Ajvsdyx2QlilTBvHx8Rb1u3PnTpt0Pj4+7HGmbw8ODkZERAQ8PT3ZqAElREZGYsOGDXj33XfZ94dpQ4UICQlhPfJMX6F0vglQNECTG47sbEihfwKpWbMmXn31VcXXO+pqBoRXkPDz85MceyhEZGSk4DlPT0/emHouQnH+1uEgQNHKCNauTW4c7MGDB22uKV++PBvOU7duXbvlAkWW4/z8fJvj8+bNY5UbRqGyx5EjR3Dv3j3WDent7c37TIVCJuy52PnidKWiRVga932y54ZWQo8ePdClSxfRNIMGDeKtTyZsx9HwNz6lhFmtIywsjI1N9fT0FCyrevXqbCyvWDoGbqiKj4+PTdhZuXLlWCu89XVcBVAK3377LatICS3LqrZyLhWuossMYnx8fFC+fHl2UOHp6Yl9+/bBZDIpNmRYt4t8oWAA2DAPuXBX+AFg4aH77LPPLNI2b96cjXH+6KOP2HsKDQ1FcHAw68UzGo0Wk9a5eHh4WMjJeFGF4HqKmPyZdktsYMJgTwGUAuN5BaDIaCEUzmgN9zlYDxKBonoODQ21OzmX4cCBA+zfXG8atzyhAbDBYLDpm7iehfnz5/MeZ5DbH3D3U2EGOUajERUrVkR8fDwSEhLYCbNyGTt2rOA5ewtJtGjRQtN5j2qga4U+Pz8fy5cvR0JCArKyshAeHo4BAwZIWiHg4sWLWLp0Kc6dOwegKIRi8ODBvG5HOWkdkUkvVK9enV2yzBUcO3aMdcNZs3nzZty9e1dSTLYeKFOmjM3KOlxLBGPhKl26NMLDw/HZZ5+JhjDwMWPGDMHVWrjuazneA67Ffe7cuYJhIrGxsTaTrPr06SO5HL1h/awYHJnc7OHhITjILVeuHAYNGmThHuYjICCAd5WQjh07isZ/WsO18jHW+SpVqlh4LLTCOnzJ09OTd4LZxx9/LFupFdvZkUHqakqOTDzlY+3atTbH/P39eTt/OUthKqVWrVpYuXKloIGgatWqvIrlpk2bkJycLHtJRq7HYcmSJZrMzZIaf+8ueHh4SO6DxSaiyvHWitG5c2fFk0Gt5wQ5CnfFOz5at27N2x9u2LBB8oCJD3uhZwaDQfZ8LWej61VuZs2ahfXr16Nly5YYOnQojEYjJk+ejDNnzohed/HiRXz88ce4c+cO+vXrh759++L27dsYO3Ysbt68qTitIzIVZ5gGhztSt0dQUBAqV65sc9x6VRQtadasmUUst8Fg4F3dQg0qVKiA3377DbVr15a9DKAjSy9KoUyZMoKhFdWrV5dkDeGGnbgj9qyDSvH397erzDPwKULR0dE281iscXSZWWfj6enp0vX5HXH9uws1atQQ9HSOHz8eb775Ju+5mjVrshMNleDt7a3aoOXNN99Ep06d8Oyzz7Ib5xUXPDw82GVD9YCnp6fDizC4mooVKzrs3Xd3dGuhT05Oxv79+zF48GD06NEDQNFs5REjRmDx4sWiFqfly5fD29sbM2bMYF/SVq1a4e2338aSJUswbtw4RWkdkelJoH79+pKXg2RWkhBaPcEZWCvKHh4eoqvScOFbT1/vNGzYEF9++aUmeffp08eh+ERCOXqP6yQIJQgNOgjn0bFjR7db6eVJRrcW+oMHD8JoNFrE8Xl7eyMmJgbnz59Hamqq4LVnzpzBs88+azHiDAoKQmRkJI4ePYqcnBxFaR2RSU9IsaCsX78e9erVs5vGOr/XXntNMJyGi8FgEJx1XrlyZYsJX3pEq/X0tSQwMNDuZiJK8fT01L07kiDkUqdOHVmTJgmiODF+/HhF3pFKlSpp7lkmbNGthf7y5cuoWLGizSQ5JpbyypUrgvFS+fn5vDHBJUqUQEFBAa5du8bGe8pJ64hMUuNgxTbRcYRSpUrh66+/xrPPPmuz7jIfUmLzmDSNGjVitx/38/OTtZU8n3XR09NTcMIXQRCEs+DbZZPQN/369ZO0vwKhHU8//fQTH7HgCnSr0Kenp/POmGaO8W2Sw1CpUiUkJSWhsLCQjcfOz89nlw7kXisnrSMy8S0rxke/fv0ULY1oDw8PD4vNVNTEaDQ6NBmFIAiCINTgSZgjQRB86Fahz8vL47VUM5Me8vLyBK/t1KkT5s6di//973/o2bMnzGYzVq1ahfv379tcKyetIzItWrRI0pJ8rpwsRhAEQRAEQbgfulXovb29edfdZpRmsdnMHTt2RGpqKtatW4c9e/YAKJr136NHD6xevdoi1ldOWkdk8vX11WSNbVdTp04dt17dhCAIgiAIwt3RrUIfFBTEG8LCWM7trZU7cOBA9OjRA9euXYOfnx/Cw8OxZMkSALDZBVRqWkdlKo4w9UQQBEEQBEG4Bt0q9FWrVsXJkyeRnZ1tYdlOSkpiz9vD39/fYtfQ48ePIzg4mHfCp5S0ashEEARBEARBEGqi22Uro6OjYTKZsH37dvZYfn4+du3ahYiICHYSZm5uLm7cuIHMzEzR/A4cOIALFy6ga9eudpdtFEorVSaCIAiCIAiCcBa6tdBHREQgOjoaS5YsQWZmJkJDQ7Fnzx6kpKRg5MiRbLoLFy5g3LhxFqvDnD59GitXrkSDBg1QqlQpJCUlYdeuXWjYsCG6du1qUY6ctFJlIooGOmvWrEHv3r1poq9CqA7VgerRcagOHYfqUB2oHh2H6tBx9FiHurXQA0BcXBy6du2KhIQEzJs3DwUFBZg4cSLq1q0rel3ZsmVhNBoRHx+PH3/8EWfPnsWAAQPwySefsEtTKknriExPGvn5+fj11195JxET0qA6VAeqR8ehOnQcqkN1oHp0HKpDx9FjHerWQg8UrRozZMgQDBkyRDBNvXr1sGnTJotjoaGhmDJliqQy5KSVKhNBEARBEARBOAtdW+gJgiAIgiAIghCHFHqCIAiCIAiCcGNIoXcSb731Ft555x2Lf1u2bFGcnyPXOjNPNXGHe9Z7HQL6v2eqQ/3mqSbucM96r0NA//dMdajfPNXEHe5Z73UIOCYjKfROws/PD3PnzrX4Fxsbqzg/d/h41MYd7lnvdQjo/56pDvWbp5q4wz3rvQ4B/d8z1aF+81QTd7hnvdchQAo9QRAEQRAEQTyxkEJPEARBEARBEG4MKfQEQRAEQRAE4cboeh364oDZbAYAmEwmZGdnq5av2vmpnSeTz5N0z2rnp0UdAvq+Zy3yc4d3Ue/vtjvUoRZ56r0OAX3fsxb5ucO7qPd32x3qUIs89V6HgK2MzN+MLimGwSwlFaGYe/fuYfDgwa4WgyAIgiAIgnBDFi1ahODgYNE0pNBrjMlkQnp6OkqWLAmDweBqcQiCIAiCIAg3wGw2IycnB0FBQTAaxaPkSaEnCIIgCIIgCDeGJsUSBEEQBEEQhBtDCj1BEARBEARBuDGk0BMEQRAEQRCEG0PLVhJ2SU5Oxp49e3Dy5EmkpKSgVKlSiIiIwKuvvoqKFStapM3Pz8fy5cuRkJCArKwshIeHY8CAAWjQoIFNvnLSFjdWrVqFZcuWoUqVKvj+++8tzlEdinPx4kX8+uuvOHv2LPLy8lChQgW0b98eXbt2ZdNQHYpz+/ZtLFu2DGfPnsXDhw9Rrlw5tGzZEi+99BJ8fHzYdFSPQE5ODuLj45GcnIzk5GRkZWXhvffeQ9u2bW3SalFfxaFepdahnL4GoDoUeg+5iPU1wJNVh4D8epTS3wD6qEey0BN2Wbt2LQ4dOoRnn30WQ4cORYcOHXDmzBm8//77uHbtmkXaWbNmYf369WjZsiWGDh0Ko9GIyZMn48yZMzb5yklbnLh37x7WrFljoThxoToU5u+//8bo0aORmZmJPn364M0330STJk2QlpZmkY7qUJjU1FTExcUhKSkJsbGxGDp0KGrVqoUVK1bg66+/tkhL9Qg8ePAAK1euxI0bN1C1alXRtFrUV3GoV6l1KKevAagO7WGvrwGerDoE5NWj1P4G0Ek9mgnCDmfPnjXn5eVZHLt165b5pZdeMn/99dfssaSkJHPnzp3Na9euZY89fvzYPHToUPOHH35ocb2ctMWNL7/80jxu3DjzmDFjzO+8847FOapDYR49emQeMGCAeerUqebCwkLBdFSH4qxatcrcuXNn89WrVy2Oz5w509y5c2fzw4cPzWYz1SNDXl6eOT093Ww2m83Jycnmzp07m3fu3GmTTov6Ki71KrUOpfY1ZjPVoVAdchHra8zmJ68OzWbp9Si1vzGb9VOPZKEn7FK7dm14eXlZHAsLC0OVKlVw48YN9tjBgwdhNBrRoUMH9pi3tzdiYmJw/vx5pKamKkpbnDh9+jQOHjyIoUOH8p6nOhRm3759yMjIwKuvvgqj0Yjc3FyYTCabdFSH4jA7D5YpU8bieGBgIIxGIzw9iyIxqR6L8PLyQmBgoN10WtRXcalXqXUota8BqA7tYa+vAZ68OgSk16PU/gbQTz2SQk8owmw2IyMjA6VLl2aPXb58GRUrVoSvr69F2po1awIArly5oihtcaGwsBA//fQT2rVrh/DwcN40VIfCHD9+HL6+vkhLS8Pbb7+N3r17o0+fPpg7dy7y8vLYdFSH4tSrVw8A8N133+Hy5ctITU3FgQMHsG3bNnTu3Jl1z1M9ykOL+qJ65e9rAKpDMaT0NQDVoRhS+xtAP/VIk2IJRezduxdpaWno378/eyw9PZ135Msc48adyUlbXNi+fTtSU1Px+eefC6ahOhTm9u3bKCwsxOeff46YmBgMHDgQp06dwubNm/Ho0SOMHj0aANWhPRo1aoQBAwZg9erVOHLkCHv85Zdfxquvvsr+pnqUhxb1RfXK39cAVIdiSOlrAKpDMaT2N4B+6pEUekI2N27cwI8//ohatWqhTZs27PG8vDwbdylQ5FJizitJWxx48OABli9fjj59+iAgIEAwHdWhMLm5uXj8+DE6duyIt956CwDQvHlzFBQUYPv27ejfvz/CwsKoDiUQEhKCunXronnz5ihVqhSOHTuGNWvWIDAwEJ07dwZA76JctKivJ71ehfoagOpQCKl9DUB1KIbU/gbQTz1SyA0hi/v372PKlCnw9fXFmDFj4OHhwZ7z9vZGfn6+zTXMS8q8tHLTFgeWLVsGf39/VlkSgupQGOZ+XnjhBYvjLVu2BACcP3+eTUd1KMz+/fsxZ84cvPvuu2jfvj2aN2+OkSNHok2bNli8eDEePHgAgOpRLlrU15Ncr2J9DUB1KITUvgagOhRDan/DpNVDPZJCT0jm0aNHmDRpEh49eoTJkyejbNmyFueDgoJw//59m+uYY9z0ctK6O7dv38aOHTvQpUsXpKen4+7du7h79y7y8/NRWFiIu3fv4uHDhwCoDsUICgoCYDuZk7FCZWVlsemoDoXZunUrqlevjuDgYIvjUVFRePz4MS5fvgyA6lEuWtTXk1qv9voagOqQDzl9DUB1KIbU/oZJq4d6JIWekEReXh4+++wz3Lp1CxMnTkSVKlVs0lStWhW3bt1iV9FgSEpKYs8rSevupKWlwWQyYd68eXjjjTfYf0lJSbh16xbeeOMNrFy5EgDVoRg1atQAYBtnmJ6eDgDspDmqQ3EyMjJ4V2soKCgAUDShDqB6lIsW9fUk1quUvgagOuRDTl8DUB2KIbW/AfRTj6TQE3YpLCzEV199hfPnz2PMmDGoVasWb7ro6GiYTCZs376dPZafn49du3YhIiIC5cqVU5TW3alSpQrGjRtn869KlSooV64cxo0bh5iYGABUh2I8//zzAICdO3daHP/999/h4eHBrt5CdShOWFgYLl26hFu3blkc379/P4xGI7sqBtWjPLSoryetXqX2NQDVIR9y+hqA6lAMqf0NoJ96pEmxhF0WLlyII0eOoGnTpnj48CESEhIszrdu3RoAEBERgejoaCxZsgSZmZkIDQ3Fnj17kJKSgpEjR1pcIyetuxMQEIDnnnvO5vjGjRsBwOIc1aEw1atXR0xMDHbu3InCwkLUrVsXp06dwsGDB9G7d2/WXUl1KE6PHj3w119/YcyYMYiNjUWpUqVw9OhR/PXXX2jXrh3VIw/MyhaMtS4xMZH9u3PnzvDz89OkvopTvUqpQ6l9DUB1CNjWoZy+Bngy6xCQ9i5K7W8A/dSjwWw2mx3OhSjWjB07FqdPnxY8v2nTJvbvvLw8LFu2DHv37kVWVhbCw8MxYMAANGzY0OY6OWmLI2PHjsWDBw/w/fffWxynOhSmoKAAa9aswa5du5Ceno5y5cohNjYW3bp1s0hHdShOcnIyVqxYgcuXL+Phw4coX7482rRpg549e1pMPqR6LOL1119HSkoK77n58+ejfPnyALSpr+JSr1LqUE5fA1AdcuG+h9YI9TXAk1eHgPR6lNrfAPqoR1LoCYIgCIIgCMKNoRh6giAIgiAIgnBjSKEnCIIgCIIgCDeGFHqCIAiCIAiCcGNIoScIgiAIgiAIN4YUeoIgCIIgCIJwY0ihJwiCIAiCIAg3hhR6giAIgiAIgnBjSKEnCIIgCIIgCDfG09UCEAThnnTp0kVW+pCQECxYsIDdDVJsZ8PiQm5uLv755x8cPXoUZ8+eRUpKCoxGI0JDQ9G8eXN0794dJUuWlJTXJ598ghMnTgAAFi1ahODgYIvzp06dwrhx4wSvj4iIwNdff223nNOnT2PcuHEwm82IiYkR3JI8OTkZ8fHxOHfuHDIzM+Hj44OnnnoKMTExePHFF2EwGCzS79q1C3///TeuXLmCjIwM5ObmonTp0qhVqxa6deuGOnXq8MqSkJCAixcvIj09HVlZWfDx8UHVqlXRtm1btG7d2qYcMazf2TFjxiA6Opr9/e2332LPnj021/n6+qJy5cpo2bIlOnXqZLGbLnNvs2fPRps2bfDBBx/YXH/z5k2MHz8e6enp6NChA9555x0YDAb2W/jiiy9Qr149Nr31jqlGoxElS5ZE6dKlER4ejmeffRatWrWCn5+f5HuXAnP/1vLojZEjR+LKlSvs7379+uGVV15xoUQE4XpIoScIQhFt2rSxOXbu3Dn8+++/qFq1KqpWrWpxrnTp0s4STTfs27cPc+bMAQBUrlwZTZs2RU5ODs6dO4cVK1Zg//79mDZtGsqUKSOaz65du3DixAkYDAbY29w7NDQUtWvX5j1uj/z8fFZeMQ4ePIivvvoKJpMJ1atXR506dfDgwQOcOXMGZ8+exfHjx/Hhhx9aXLNlyxZcuXIFTz31FOrUqQMvLy/cunULhw4dwuHDhzFs2DB07NjR4pojR47g999/R8WKFVGtWjX4+/sjLS0NZ86cwalTp/DXX39h9OjRduXl4uPjg+bNmwMoGmTyUbt2bba+TCYTUlJScP78eSQlJeGvv/7Cp59+KnkgcePGDYwfPx73799Hp06d8Pbbb0u+tmHDhuy7kZOTg3v37uHo0aM4fPgwfvnlF7z55pto27atpLyKE02bNkXVqlXx77//4ty5c64WhyB0ASn0BEEogs8S+e233+Lff/9Fs2bNBC1mH3zwAR4/foyyZctqLaLL8fT0RPv27dGtWzdUrlyZPZ6eno7Jkyfj8uXL+Pnnn0WV0szMTCxcuBANGjTArVu3kJKSIlpm7dq1eZ+NFFatWoXbt28jJiYGv//+O2+awsJC/PjjjzCZTBg1ahRatWrFnrtx4wY+/vhj7Nu3D+3atcMzzzzDnnv77bdRuXJl+Pr6WuR35MgRfPHFF5g/fz6aN2+OgIAA9lxMTAy6d+9u867cvn0bY8eOxf79+9GyZUs0bdpU8j2WLl3abv20a9fORlG+cOECxowZg7/++guHDx9mBwViXL9+HePHj0dGRga6dOmCN998U7KcANCrVy8bS/mjR4+wYcMGrFq1CrNnz0ZhYSHat28vK193Z8CAAQCKBrqk0BNEERRDTxCEUwkJCUHlypXh6Vn87QkvvvgiRowYYaHMA0BQUBCGDRsGADh8+DDy8/MF8/j555/x+PFjNr1WXLt2DWvXrkVMTAyvhZ/h5s2byMjIQMWKFS2UeaDIC8Ecu3DhgsW5iIgIG2UeAKKiolCvXj3k5eXh/PnzFueqVKnCO/ALCwtDp06dAAAnT56UcnsO8/TTT7PhOWfOnLGb/tq1a6wy3717d9nKvBB+fn545ZVX8P777wMA5s2bh/v376uSN0EQ7kvx71EJgtAVQjH0Xbp0QUhICObNm4c1a9Zgz549SEtLQ0hICHr27MlaTE+cOIFVq1bh4sWLMBqNaNq0Kd544w3ekJ7CwkLs2LEDe/bswfXr11FYWIiKFSvixRdfROfOnW1ioZ1JeHg4gKIwl4cPHyIoKMgmzV9//YV9+/ZhwIABkkJmlGI2m/H999/Dz88PgwYNwpEjRwTTenl5ScqzVKlSkstnnoOcQZ6SaxyF8R4UFhaKpmOU+czMTPTo0QODBw9WXZbWrVtj+/btOHv2LH7//Xf06dNH8rU7d+7Epk2bcOvWLfj6+qJhw4YYNGiQYPozZ87gwIEDOHPmDFJTU5Gfn49y5cqhWbNm6NWrF/z9/dm0Bw8exPTp0/HCCy8Iep7mzJmDHTt24L333mO/68zMTKxbtw6JiYlITU2F0WhEmTJlEBERgc6dO6NmzZqS748gnkRIoScIQld8+eWXOHnyJOrVq4cKFSrg9OnTmD17NgCgZMmSmDFjBiIiItCwYUOcP38eCQkJuHv3LqZPn24Rm/z48WNMmTIFJ0+eRKlSpRAREQFvb28kJydj/vz57CRSo9E1jsq7d+8CKFJI+ZTf3NxczJ07F5UqVUKPHj0k5/vvv//il19+wcOHD1G6dGnUqVMHDRs2FL3PrVu34ty5c/jggw/sKuLly5dHaGgobt26hb1799qE3Ozduxf+/v547rnnJMl74sQJnDx5Ev7+/oiIiJB0TWpqKrZt2wYAaNy4saRr1ODixYsAYONx4XLlyhV88sknePDgAXr37o2BAwdqJs8LL7yAs2fP4uTJk5IV+sWLF2Pt2rXw9PREvXr14Ovri7///hunTp2ymffCsGjRIly5coWdkJuXl4fLly9j7dq1OHr0KL7++mt2cndUVBQCAwNx+PBhPHjwwGagnZOTg/3798PX1xfPP/88ACA7OxujRo3C3bt3ERwcjPr168PDwwOpqak4cOAAKlSoQAo9QdiBFHqCIHRDSkoKSpYsiZ9++om1hp48eRLjx4/H0qVLkZ+fj/Hjx6NJkyYAihSB0aNH4+zZszh16pRFzPbChQtx8uRJtGjRAsOHD2dXBMnOzsaMGTNw5MgR7Nixw2YiprPYuHEjgKKJj3xW7+XLlyMlJQVffPGFZKs4UDQx2TquODw8HGPHjkVYWJhN+rS0NCxZsgTPPPMM70Rnazw8PPD+++9jypQp+Oabb7B+/XqEhYUhMzMTZ86cQeXKlfH+++8LDgx27dqFU6dOIT8/H//++y8uXrwIPz8/jB492sLSy+X8+fPYtm0bTCYT0tPTcfbsWZhMJgwYMAB169aVUCvKKSwsRGpqKjZv3ozTp08jODgYrVu35k1769YtjB8/Hg8fPkSfPn3YWG+tYBTwmzdvSkp//vx5xMfHw8/PD1OnTkX16tUBFCnZn3/+ORITE3mv69u3L2rXrm2xqk5+fj5++ukn7NixA+vXr0e/fv0AFA1Q27ZtizVr1iAhIQHdunWzyGv//v3IyclBx44d4ePjAwA4dOgQ7t69i6ioKJtBdmZmJjIyMqRVCEE8wVAMPUEQumLo0KEWEyOfeeYZVKtWDenp6WjUqBGrzANFywkyEwK5y/xlZGTg999/R3BwMN577z0LRcTX1xcjR46Ep6cntm7d6oQ7suXYsWPYuXMnPD09eZW+ixcvYuPGjWjTpo3k5QN9fX3Ro0cPfP3111ixYgVWrFiBzz//HBEREbh69SomTJiAR48e2Vz3448/Ii8vT1aMfp06dTBt2jRUqFABly5dwoEDB3Dy5EkYDAbUr18fFSpUELz27Nmz2LNnDw4cOICLFy+iVKlSGDlyJBo2bCh4zb///os9e/Zg7969OHnyJEwmE1555RVZngs5zJ49G126dEGXLl3QvXt3DB06FBs2bEDLli3x9ddf884FAICkpCQ8fPgQNWvW1FyZB/5bOSorK0tS+m3btsFsNqNLly6sMg8Ueb7eeustwdV3GjdubLNEppeXF4YOHQoPDw+bEK0OHTrAaDRix44dNnnt3LkTACwm8mZmZgIo+tatPUkBAQF46qmnJN0fQTzJkIWeIAjd4OnpyWtxrVChAi5fvowGDRrwngOKVo5hOHXqFAoKCtCoUSOUKFHC5prAwECEhYXh2rVrePz4MW8arbhx4wa++eYbmM1mDB482CbMobCwEN999x38/PwwZMgQyflWr17dQkkDgGeffRZ169bF+PHjcebMGWzduhW9e/dmzx86dAh//vkn+vbti0qVKkkua9++fZg9ezYiIiIwevRoVKlSBenp6YiPj8f69etx6tQpzJgxg9ezMHLkSIwcORI5OTm4desW1q5di2nTpqF9+/YYMWIEb3mtW7dG69atkZ+fj5SUFOzZswcrV67E0aNHMWnSJEHLvlK4y1YCwP3793Hx4kX88ccf8Pf3ZxVZa6pVq4bbt28jOTkZixcvFo1LVwN7S5haw0zmfeGFF2zOValSBVWrVsXly5d5r01LS0NiYiJu3ryJ7OxsmEwmAEXf7O3bty3ShoSEoGHDhjh27BjOnTvHTrK+evUqkpKSUKNGDYt3tUaNGgCA+Ph4lClTBo0bNxYcNBEEwQ8p9ARB6IYyZcrwKkqMa55vxRMmdpe7UgyztOOOHTt4rYRcsrKyRBV6ZtlIa9q1a4fIyEjRvK1JS0vDpEmTkJWVhe7du6Nr1642aTZu3IjLly9j5MiRFp4KpXh4eKBnz544c+YM/v77b1ahz87Oxk8//YSwsDC8/PLLkvO7ffs2Zs2ahYCAAEycOJGt/7CwMIwYMQLp6ek4evQodu7cya5Ew0fJkiVRo0YNfPzxx8jPz8eOHTvQoEEDi42erPHy8kLFihXx6quvolSpUliwYAGWL1+Ot956S7L8UuBbtpIJ1dqyZQv8/f15LfDh4eEYPHgwpkyZgrVr16JkyZKyJqvK5cGDBwCkT0BmBr3lypXjPR8SEsKr0K9fvx6//PILCgoKJMvWsWNHHDt2DDt27GAVeuZbtF5m89lnn0W3bt2wceNGzJgxAx4eHqhevTrq16+PmJgYUY8PQRBFkEJPEIRusDdBVeoEVsZ6WK1aNXY1GSHsrZKSm5vLu3tovXr1ZCn0Dx8+xIQJE5CSkoK2bdsKWt8TExNhMBiwe/dum3KZ5QmnT58OLy8v9OrVC40aNbJbNhM7z13e8NKlS0hPT0dISAgmTpzIW86xY8cwduxYBAYG4qOPPgJQFANdUFCAhg0b8u5y+/zzz+Po0aM4c+aMqELPpVWrVjhy5AiOHDkiqtBzad26NRYsWIA///xTdYWeD19fXwwaNAjHjh3D5s2bBUNq6tevj48//hjTpk3DsmXLULJkSd6BmxowyrfYJF1HOX/+PBYsWAA/Pz+MGDEC9erVQ2BgIOt9ee211yy8YwyNGjVCcHAw/vjjD7z55pvw9PTE3r17UbJkSV4PwRtvvIEOHTrgyJEjOH78OM6dO8fuRvzhhx9Kfi8I4kmFFHqCIIodwcHBAIpivR1V9sqXL49NmzY5lEdOTg4mTZqEGzdu4LnnnsOIESNEdws1m82ia50nJSUBKFrnXgpMjDWfJyIlJUVws6r79+/j/v37Fjuq3rt3DwBsYqoZmONS47qB/2LBmVhqKfj7+8NoNLJWamfALLP66NEjZGZmCnpQoqKi8MEHH2DmzJmYP38+fH19NdnR9cCBAwBgMRlcjMDAQKSkpCA1NZV3EMD3Hvz5558AgFdffdXmfXv8+LHgGvgeHh5o3749li9fjr1798LX1xdZWVlo166dYDhNpUqVUKlSJfTs2RN5eXnYvHkzFi1ahB9++IEUeoKwAyn0BEEUO5jJdYmJiXj99ddduolVfn4+Pv/8cyQnJ6Nhw4YYPXq06Pr306ZNEzz3+uuvIyUlBYsWLWIHLVI4dOgQAFjELderV09woLJr1y7Mnj0bMTExGDlypMW5wMBAALYbRzEwx7mDAHswE5rlrLXPrHTjzHAMZqlRg8Fgd95Fy5YtkZubizlz5uC7776Dj48Pu0yjGuzZswfnzp1DiRIl0K5dO0nXREZGIiUlBX/88Qe7Kg3DjRs3cOXKFZtrmIEZX7jbwYMHReP427Vrh5UrV2LHjh2sEi91V1tvb2/06NEDGzZsQHp6OjIyMlCmTBlJ1xLEkwitckMQRLGjbNmyiImJQUpKCmbMmMFrRbx9+zYOHjyoqRyFhYWYMWMGTp48icjISIwdO1bWEpRy2LBhA1JTUy2Omc1mbNu2DRs2bIDBYJAcAiNGVFQUALCTbLmcP38eGzZsAAALi+qNGzdw4MABmx1xzWYz9u/fj7Vr18JgMNgsmxkfH89r6U9OTsZ3330HAJpYvvnIzs7GokWLAAB169Zl53WI0b59e7zxxhswmUz45ptvcOzYMYflePToEX799Vd2b4a3335b8lwLZonWDRs2WCjvubm5mDdvHq9yzoRr7dy50yKG/vr161i8eLFoeUFBQWjatCkuX76M06dPIzw8nHc9+cOHD9vsEgwUrfaUkZGBkiVLCnqECIIogiz0BEEUS4YOHYq7d+/i0KFD+Pvvv1G1alWUK1cOjx8/xvXr1/Hvv/8iKipKU1f+li1bcPjwYQBFYSU//PADb7ohQ4Y4PAF248aNWLhwIapXr47y5csjPz8fV69exd27d2E0GvHmm2+yq4k4Qo0aNfDSSy9h3bp1+OGHH7BlyxZUrlwZ6enpSEpKgslkQvv27VG/fn32moyMDHz11Vfw8/ND9erVERgYiEePHuH69etISUmB0WjE66+/bqPsLVq0CEuXLkX16tUREhKCgoIC3Llzh1VGn3/+eU3i03///XecOnXKQv4LFy6wm3W9/fbbkvPq1q0bcnJysHz5ckybNg2TJk2yWYpUKPzqt99+w65duwAUKd1paWm4dOkSCgoK4Ovri7feekvS3gEMtWvXZp9dXFwcnnnmGfj6+uL06dPw8vJC06ZNbdaib9u2LdavX4/ExES8/fbbePrpp5GVlYXTp08jKioKFy5cEAzZAooGEcw30KFDB940p0+fxsaNG1G2bFlUq1YNvr6+SE9Px5kzZ9glSrUaCBNEcYEUeoIgiiUlSpTApEmTsG/fPuzevRtXrlzBhQsXULp0aYSEhKB169a8k/PUhGtdZpQaPl555RWHFfru3bvjn3/+wfXr13Hjxg0UFBQgKCgIrVq1QpcuXVTdaXPIkCGoXbs2tm3bhosXL+LWrVsoWbIk6tati3bt2qFly5YW6atUqYL+/fvj1KlTuH37Ns6dOweDwYDg4GDExMSgU6dOvIONt956CydPnsSVK1dw7do1FBQUICAgAFFRUXjxxRcl70YrF+vNuby9vVG+fHm8+OKL6NGjBxt2JJW+ffsiJycH8fHx+Oyzz/DZZ//X3v2zJhLEYRx/TmzEP2CTFEFIIxYWK2hE7KKlUdBObSQBrfMarhV9BUIIS6zsfAOSJm6RJsYisUqTIo0R7IRcEXIceHdcwhJv4vdTL7+ZhS0eZmd+812xWOznH4s/rfZfX19Lej0M7vP5FAwGdXBwIMuydHh4+KHWjsfHx9rb29NwONTNzY38fr8SiYQajYbOz8/Xng+FQup0Ojo7O9NkMpHjONrd3VW9Xle5XFaz2fzrePF4XF6vVx6PZ+27eJPP5+XxeHR7e6v7+3stl0uFw2GlUimVSiVZlvXu9wS2zbeX9zayBQDAQMViUTs7O+r1epueiqTXg6bz+Vy2bbvSovR/NBqN1G63lcvldHp66mrtt7Me1WpVtVrN1dqAaVihBwBsjcVioW63K0k6OjpSNBrdyDwuLy81n88ViUS+bJhfrVYaDAaSpEKh4Fpd27b19PSkx8dH12oCpiPQAwC2xq/3CqTT6U8P9L1eT7PZTNPpVJLWus18BePxWFdXV7q7u9PDw4MymYyrW74cx/ltRx5gm7HlBgCAT3JycqLn52ft7++rUqkom81uekquu7i4UL/fVyAQUDKZVKvV+ufbbAF8DIEeAAAAMBh96AEAAACDEegBAAAAgxHoAQAAAIMR6AEAAACDEegBAAAAgxHoAQAAAIMR6AEAAACDEegBAAAAgxHoAQAAAIP9ABWDyc1Nzc6DAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 848.5x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lc_stitched.plot();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "U7uOGZXJ62Qm"
   },
   "source": [
    "In this final normalized light curve, the interesting observational features of the star are more clear. Specifically: repeating transits that can be used to [characterize planets](https://docs.lightkurve.org/tutorials/02-recover-a-planet.html) and a noisy stellar flux that can be used to study brightness variability through [asteroseismology](http://docs.lightkurve.org/tutorials/02-asteroseismology.html)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "oz2KOdF5LYJm"
   },
   "source": [
    "Normalizing individual *Kepler* Quarters before combining them to form a single light curve isn't the only way to make sure different quarters are consistent with one another. For a breakdown of other available methods and their benefits, see *Section 6. Stitching Kepler Quarters Together* in [Kinemuchi et al. 2012](https://arxiv.org/pdf/1207.3093.pdf)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "lhbv9ZKRPmMY"
   },
   "source": [
    "## About this Notebook"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "nU-5JtvpPmMZ"
   },
   "source": [
    "**Authors:** Oliver Hall (oliver.hall@esa.int), Geert Barentsen\n",
    "\n",
    "**Updated On**: 2020-09-15"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "colab_type": "text",
    "id": "ZANsIso_B_si"
   },
   "source": [
    "## Citing Lightkurve and Astropy\n",
    "\n",
    "If you use `lightkurve` or `astropy` for published research, please cite the authors. Click the buttons below to copy BibTeX entries to your clipboard."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 85
    },
    "colab_type": "code",
    "execution": {
     "iopub.execute_input": "2023-11-03T14:12:48.860328Z",
     "iopub.status.busy": "2023-11-03T14:12:48.860124Z",
     "iopub.status.idle": "2023-11-03T14:12:48.863536Z",
     "shell.execute_reply": "2023-11-03T14:12:48.863084Z"
    },
    "executionInfo": {
     "elapsed": 46365,
     "status": "ok",
     "timestamp": 1598466310031,
     "user": {
      "displayName": "Geert Barentsen",
      "photoUrl": "https://lh3.googleusercontent.com/a-/AOh14Gj8sjdnDeqdejfe7OoouYPIclAQV0KSTpsU469Jyeo=s64",
      "userId": "05704237875861987058"
     },
     "user_tz": 420
    },
    "id": "7vUtrWVjnlY7",
    "outputId": "05c053a6-5366-47d2-a2fd-2d0a92a11eb0"
   },
   "outputs": [
    {
     "data": {
      "text/html": [
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       "\n",
       "<style>\n",
       "    button {\n",
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       "@MISC{2018ascl.soft12013L,\n",
       "    author = {{Lightkurve Collaboration} and {Cardoso}, J.~V.~d.~M. and\n",
       "                {Hedges}, C. and {Gully-Santiago}, M. and {Saunders}, N. and\n",
       "                {Cody}, A.~M. and {Barclay}, T. and {Hall}, O. and\n",
       "                {Sagear}, S. and {Turtelboom}, E. and {Zhang}, J. and\n",
       "                {Tzanidakis}, A. and {Mighell}, K. and {Coughlin}, J. and\n",
       "                {Bell}, K. and {Berta-Thompson}, Z. and {Williams}, P. and\n",
       "                {Dotson}, J. and {Barentsen}, G.},\n",
       "    title = \"{Lightkurve: Kepler and TESS time series analysis in Python}\",\n",
       "    keywords = {Software, NASA},\n",
       "howpublished = {Astrophysics Source Code Library},\n",
       "        year = 2018,\n",
       "    month = dec,\n",
       "archivePrefix = \"ascl\",\n",
       "    eprint = {1812.013},\n",
       "    adsurl = {http://adsabs.harvard.edu/abs/2018ascl.soft12013L},\n",
       "}\n",
       "    </textarea>\n",
       "    <textarea id=\"astropyText\" style=\"position: absolute; left: -9999px; z-index: -9999;\">\n",
       "@ARTICLE{astropy:2022,\n",
       "       author = {{Astropy Collaboration} and {Price-Whelan}, Adrian M. and {Lim}, Pey\n",
       "       Lian and {Earl}, Nicholas and {Starkman}, Nathaniel and {Bradley}, Larry and\n",
       "       {Shupe}, David L. and {Patil}, Aarya A. and {Corrales}, Lia and {Brasseur}, C.~E.\n",
       "       and {N{\\\"o}the}, Maximilian and {Donath}, Axel and {Tollerud}, Erik and {Morris},\n",
       "       Brett M. and {Ginsburg}, Adam and {Vaher}, Eero and {Weaver}, Benjamin A. and\n",
       "       {Tocknell}, James and {Jamieson}, William and {van Kerkwijk}, Marten H. and\n",
       "       {Robitaille}, Thomas P. and {Merry}, Bruce and {Bachetti}, Matteo and\n",
       "       {G{\\\"u}nther}, H. Moritz and {Aldcroft}, Thomas L. and {Alvarado-Montes}, Jaime\n",
       "       A. and {Archibald}, Anne M. and {B{\\'o}di}, Attila and {Bapat}, Shreyas and\n",
       "       {Barentsen}, Geert and {Baz{\\'a}n}, Juanjo and {Biswas}, Manish and {Boquien},\n",
       "       M{\\'e}d{\\'e}ric and {Burke}, D.~J. and {Cara}, Daria and {Cara}, Mihai and\n",
       "       {Conroy}, Kyle E. and {Conseil}, Simon and {Craig}, Matthew W. and {Cross},\n",
       "       Robert M. and {Cruz}, Kelle L. and {D'Eugenio}, Francesco and {Dencheva}, Nadia\n",
       "       and {Devillepoix}, Hadrien A.~R. and {Dietrich}, J{\\\"o}rg P. and {Eigenbrot},\n",
       "       Arthur Davis and {Erben}, Thomas and {Ferreira}, Leonardo and {Foreman-Mackey},\n",
       "       Daniel and {Fox}, Ryan and {Freij}, Nabil and {Garg}, Suyog and {Geda}, Robel and\n",
       "       {Glattly}, Lauren and {Gondhalekar}, Yash and {Gordon}, Karl D. and {Grant},\n",
       "       David and {Greenfield}, Perry and {Groener}, Austen M. and {Guest}, Steve and\n",
       "       {Gurovich}, Sebastian and {Handberg}, Rasmus and {Hart}, Akeem and\n",
       "       {Hatfield-Dodds}, Zac and {Homeier}, Derek and {Hosseinzadeh}, Griffin and\n",
       "       {Jenness}, Tim and {Jones}, Craig K. and {Joseph}, Prajwel and {Kalmbach}, J.\n",
       "       Bryce and {Karamehmetoglu}, Emir and {Ka{\\l}uszy{\\'n}ski}, Miko{\\l}aj and\n",
       "       {Kelley}, Michael S.~P. and {Kern}, Nicholas and {Kerzendorf}, Wolfgang E. and\n",
       "       {Koch}, Eric W. and {Kulumani}, Shankar and {Lee}, Antony and {Ly}, Chun and\n",
       "       {Ma}, Zhiyuan and {MacBride}, Conor and {Maljaars}, Jakob M. and {Muna}, Demitri\n",
       "       and {Murphy}, N.~A. and {Norman}, Henrik and {O'Steen}, Richard and {Oman}, Kyle\n",
       "       A. and {Pacifici}, Camilla and {Pascual}, Sergio and {Pascual-Granado}, J. and\n",
       "       {Patil}, Rohit R. and {Perren}, Gabriel I. and {Pickering}, Timothy E. and\n",
       "       {Rastogi}, Tanuj and {Roulston}, Benjamin R. and {Ryan}, Daniel F. and {Rykoff},\n",
       "       Eli S. and {Sabater}, Jose and {Sakurikar}, Parikshit and {Salgado}, Jes{\\'u}s\n",
       "       and {Sanghi}, Aniket and {Saunders}, Nicholas and {Savchenko}, Volodymyr and\n",
       "       {Schwardt}, Ludwig and {Seifert-Eckert}, Michael and {Shih}, Albert Y. and\n",
       "       {Jain}, Anany Shrey and {Shukla}, Gyanendra and {Sick}, Jonathan and {Simpson},\n",
       "       Chris and {Singanamalla}, Sudheesh and {Singer}, Leo P. and {Singhal}, Jaladh and\n",
       "       {Sinha}, Manodeep and {Sip{\\H{o}}cz}, Brigitta M. and {Spitler}, Lee R. and\n",
       "       {Stansby}, David and {Streicher}, Ole and {{\\v{S}}umak}, Jani and {Swinbank},\n",
       "       John D. and {Taranu}, Dan S. and {Tewary}, Nikita and {Tremblay}, Grant R. and\n",
       "       {Val-Borro}, Miguel de and {Van Kooten}, Samuel J. and {Vasovi{\\'c}}, Zlatan and\n",
       "       {Verma}, Shresth and {de Miranda Cardoso}, Jos{\\'e} Vin{\\'\\i}cius and {Williams},\n",
       "       Peter K.~G. and {Wilson}, Tom J. and {Winkel}, Benjamin and {Wood-Vasey}, W.~M.\n",
       "       and {Xue}, Rui and {Yoachim}, Peter and {Zhang}, Chen and {Zonca}, Andrea and\n",
       "       {Astropy Project Contributors}}, title = \"{The Astropy Project: Sustaining and\n",
       "       Growing a Community-oriented Open-source Project and the Latest Major Release\n",
       "       (v5.0) of the Core Package}\",\n",
       "      journal = {\\apj},\n",
       "     keywords = {Astronomy software, Open source software, Astronomy data analysis, 1855, 1866, 1858, Astrophysics - Instrumentation and Methods for Astrophysics},\n",
       "         year = 2022,\n",
       "        month = aug,\n",
       "       volume = {935},\n",
       "       number = {2},\n",
       "          eid = {167},\n",
       "        pages = {167},\n",
       "          doi = {10.3847/1538-4357/ac7c74},\n",
       "archivePrefix = {arXiv},\n",
       "       eprint = {2206.14220},\n",
       " primaryClass = {astro-ph.IM},\n",
       "       adsurl = {https://ui.adsabs.harvard.edu/abs/2022ApJ...935..167A},\n",
       "      adsnote = {Provided by the SAO/NASA Astrophysics Data System}\n",
       "}\n",
       "\n",
       "\n",
       "    </textarea>\n",
       "    <textarea id=\"astroqueryText\" style=\"position: absolute; left: -9999px; z-index: -9999;\">\n",
       "@ARTICLE{2019AJ....157...98G,\n",
       "   author = {{Ginsburg}, A. and {Sip{\\H o}cz}, B.~M. and {Brasseur}, C.~E. and\n",
       "\t{Cowperthwaite}, P.~S. and {Craig}, M.~W. and {Deil}, C. and\n",
       "\t{Guillochon}, J. and {Guzman}, G. and {Liedtke}, S. and {Lian Lim}, P. and\n",
       "\t{Lockhart}, K.~E. and {Mommert}, M. and {Morris}, B.~M. and\n",
       "\t{Norman}, H. and {Parikh}, M. and {Persson}, M.~V. and {Robitaille}, T.~P. and\n",
       "\t{Segovia}, J.-C. and {Singer}, L.~P. and {Tollerud}, E.~J. and\n",
       "\t{de Val-Borro}, M. and {Valtchanov}, I. and {Woillez}, J. and\n",
       "\t{The Astroquery collaboration} and {a subset of the astropy collaboration}\n",
       "\t},\n",
       "    title = \"{astroquery: An Astronomical Web-querying Package in Python}\",\n",
       "  journal = {\\aj},\n",
       "archivePrefix = \"arXiv\",\n",
       "   eprint = {1901.04520},\n",
       " primaryClass = \"astro-ph.IM\",\n",
       " keywords = {astronomical databases: miscellaneous, virtual observatory tools},\n",
       "     year = 2019,\n",
       "    month = mar,\n",
       "   volume = 157,\n",
       "      eid = {98},\n",
       "    pages = {98},\n",
       "      doi = {10.3847/1538-3881/aafc33},\n",
       "   adsurl = {http://adsabs.harvard.edu/abs/2019AJ....157...98G},\n",
       "  adsnote = {Provided by the SAO/NASA Astrophysics Data System}\n",
       "}\n",
       "\n",
       "    </textarea>\n",
       "    <textarea id=\"tesscutText\" style=\"position: absolute; left: -9999px; z-index: -9999;\">\n",
       "@MISC{2019ascl.soft05007B,\n",
       "        author = {{Brasseur}, C.~E. and {Phillip}, Carlita and {Fleming}, Scott W. and\n",
       "          {Mullally}, S.~E. and {White}, Richard L.},\n",
       "         title = \"{Astrocut: Tools for creating cutouts of TESS images}\",\n",
       "      keywords = {Software},\n",
       "          year = 2019,\n",
       "         month = may,\n",
       "           eid = {ascl:1905.007},\n",
       "         pages = {ascl:1905.007},\n",
       " archivePrefix = {ascl},\n",
       "        eprint = {1905.007},\n",
       "        adsurl = {https://ui.adsabs.harvard.edu/abs/2019ascl.soft05007B},\n",
       "       adsnote = {Provided by the SAO/NASA Astrophysics Data System}\n",
       " }\n",
       "    </textarea>\n",
       "\n",
       "    <p>\n",
       "        When using Lightkurve, we kindly request that you cite the following packages:\n",
       "        <ul>\n",
       "            <li>\n",
       "                <a href=\"https://docs.lightkurve.org\">lightkurve</a>\n",
       "                <button onclick=\"copyBibtex('lightkurve')\"><i class=\"fas fa-clipboard\"></i> Copy BibTeX</button>\n",
       "            </li>\n",
       "            <li>\n",
       "                <a href=\"https://astropy.org\">astropy</a>\n",
       "                <button onclick=\"copyBibtex('astropy')\"><i class=\"fas fa-clipboard\"></i> Copy BibTeX</button>\n",
       "            </li>\n",
       "            <li>\n",
       "                <a href=\"https://astroquery.readthedocs.io\">astroquery</a>\n",
       "                <button onclick=\"copyBibtex('astroquery')\"><i class=\"fas fa-clipboard\"></i> Copy BibTeX</button>\n",
       "                —  if you are using <i>search_lightcurve()</i> or <i>search_targetpixelfile()</i>.\n",
       "            </li>\n",
       "            <li>\n",
       "                <a href=\"https://mast.stsci.edu/tesscut/\">tesscut</a>\n",
       "                <button onclick=\"copyBibtex('tesscut')\"><i class=\"fas fa-clipboard\"></i> Copy BibTeX</button>\n",
       "                — if you are using <i>search_tesscut()</i>.\n",
       "            </li>\n",
       "        </ul>\n",
       "    </p>\n",
       "</body>\n"
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