{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Understanding LightCurve objects"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Learning goals\n",
"\n",
"In our [TargetPixelFile tutorial](Target-Pixel-File-Tutorial.html) we learned, how to obtain data files for our objects of interest and how to examine the `metadata` stored in the headers.\n",
"\n",
"In this tutorial we will learn the following,\n",
"- How to use *Lightkurve* to create a [`TESSLightCurve`](https://lightkurve.github.io/lightkurve/tutorials/1-getting-started/what-are-lightcurve-objects.html?highlight=tesslightcurve) object.\n",
"- How to examine the object data, and understand its format.\n",
"- What is simple aperture photometry (SAP).\n",
"- How to plot a light curve."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## What is LightCurve object?\n",
"You can create a `TESSLightCurve` object from a `TargetPixelFile` (TPF) object using Simple Aperture Photometry (SAP). \n",
"\n",
"## What is Simple Aperture Photometry (SAP)?\n",
"Aperture Photometry is the act of summing up the values of all the pixels in a pre-defined aperture as a function of time. By carefully choosing the shape of the aperture mask, you can avoid nearby contaminants or improve the strength of the specific signal you are trying to measure relative to the background.\n",
"\n",
"The SAP light curve is a pixel summation time-series of all calibrated flux falling within the optimal aperture, as stored and defined in the TPF.\n",
"\n",
"In this notebook we will demonstrate, let's create a `TESSLightCurve` from a `TESSTargetPixelFile`. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Imports\n",
"This tutorial requires that you import *Lightkurve*."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline \n",
"import lightkurve as lk"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Defining terms\n",
"\n",
"- Target Pixel File (TPF): A file containing the original CCD pixel observations from which light curves are extracted. \n",
"\n",
"- LightCurve Object: Obtained from a TPF and contains light curve information derived using simple aperture photometry.\n",
"\n",
"- Cadence: The rate at which TESS photometric observations are stored. \n",
"\n",
"- Sector: One of TESS's 27 (to date) observing periods, approximately ~27 days in duration.\n",
"\n",
"- Simple Aperture Photometry (SAP): The act of summing all pixel values in a pre-defined aperture as a function of time."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Downloading the TPF\n",
"For this tutorial we will use the [L 98-59 System](https://arxiv.org/pdf/1903.08017.pdf) focusing on planet c.\n",
"\n",
"First we search for appropriate Target Pixel Files on [MAST](https://archive.stsci.edu/tess/) using the [`search_targetpixelfile`](https://lightkurve.github.io/lightkurve/reference/api/lightkurve.search_targetpixelfile.html?highlight=search_targetpixelfile) function. "
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"SearchResult containing 7 data products.\n",
"\n",
"
\n",
"# observation author target_name productFilename distance \n",
"0 TESS Sector 2 SPOC 307210830 tess2018234235059-s0002-0000000307210830-0121-s_tp.fits 0.0 \n",
"1 TESS Sector 5 SPOC 307210830 tess2018319095959-s0005-0000000307210830-0125-s_tp.fits 0.0 \n",
"2 TESS Sector 8 SPOC 307210830 tess2019032160000-s0008-0000000307210830-0136-s_tp.fits 0.0 \n",
"3 TESS Sector 9 SPOC 307210830 tess2019058134432-s0009-0000000307210830-0139-s_tp.fits 0.0 \n",
"4 TESS Sector 10 SPOC 307210830 tess2019085135100-s0010-0000000307210830-0140-s_tp.fits 0.0 \n",
"5 TESS Sector 11 SPOC 307210830 tess2019112060037-s0011-0000000307210830-0143-s_tp.fits 0.0 \n",
"6 TESS Sector 12 SPOC 307210830 tess2019140104343-s0012-0000000307210830-0144-s_tp.fits 0.0 \n",
"
"
],
"text/plain": [
"SearchResult containing 7 data products.\n",
"\n",
" # observation author target_name productFilename distance\n",
"--- -------------- ------ ----------- ------------------------------------------------------- --------\n",
" 0 TESS Sector 2 SPOC 307210830 tess2018234235059-s0002-0000000307210830-0121-s_tp.fits 0.0\n",
" 1 TESS Sector 5 SPOC 307210830 tess2018319095959-s0005-0000000307210830-0125-s_tp.fits 0.0\n",
" 2 TESS Sector 8 SPOC 307210830 tess2019032160000-s0008-0000000307210830-0136-s_tp.fits 0.0\n",
" 3 TESS Sector 9 SPOC 307210830 tess2019058134432-s0009-0000000307210830-0139-s_tp.fits 0.0\n",
" 4 TESS Sector 10 SPOC 307210830 tess2019085135100-s0010-0000000307210830-0140-s_tp.fits 0.0\n",
" 5 TESS Sector 11 SPOC 307210830 tess2019112060037-s0011-0000000307210830-0143-s_tp.fits 0.0\n",
" 6 TESS Sector 12 SPOC 307210830 tess2019140104343-s0012-0000000307210830-0144-s_tp.fits 0.0"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"search = lk.search_targetpixelfile('TIC 307210830 c')\n",
"search"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Our object of interest can be found in seven sectors. Let's take the first sector, sector 2 and download that."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"TessTargetPixelFile(TICID: 307210830)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"tpf = lk.search_targetpixelfile('TIC 307210830 c', sector=2).download()\n",
"tpf"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Creating and analizing the LightCurve object"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Great we now have our TPF! Lets convert this TPF into a `TessLightCurve` object using the [`to_lightcurve`](https://lightkurve.github.io/lightkurve/reference/api/lightkurve.KeplerTargetPixelFile.to_lightcurve.html?highlight=to_lightcurve) function. \n",
"\n",
"To create the SAP light curve we will pass an **aperture_mask** to the `to_lightcurve` function. The default is to use the [`SPOC`](https://heasarc.gsfc.nasa.gov/docs/tess/pipeline.html) pipeline aperture, which sums all the pixels in its defined mask."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"TessLightCurve targetid=307210830 length=18317 \n",
"\n",
"time flux flux_err centroid_col centroid_row cadenceno quality \n",
"electron / s electron / s pix pix \n",
"object float32 float32 float64 float64 int32 int32 \n",
"1354.1088231272427 21566.349609375 16.116119384765625 664.6090864691554 339.4764484490161 91191 0 \n",
"1354.1102119888994 21563.88671875 16.118038177490234 664.6261723169015 339.46842003296774 91192 0 \n",
"1354.112989712153 21475.162109375 16.089221954345703 664.606630403678 339.4604662968742 91194 0 \n",
"1354.1143785738097 21583.30859375 16.12527084350586 664.6414481151693 339.4832617761526 91195 0 \n",
"1354.1157674355243 21575.640625 16.121679306030273 664.6354584758038 339.4735678477034 91196 0 \n",
"1354.1171562971804 21563.1015625 16.115528106689453 664.6334974032626 339.472138768046 91197 0 \n",
"1354.1185451588947 21552.935546875 16.112627029418945 664.625177003332 339.46675685339096 91198 0 \n",
"1354.1199340205515 21532.90234375 16.10567855834961 664.6301979867933 339.4699372207359 91199 0 \n",
"1354.1213228822667 21533.828125 16.105731964111328 664.6262018316135 339.46553338843 91200 0 \n",
"... ... ... ... ... ... ... \n",
"1381.5001032523294 21262.494140625 16.291688919067383 664.5744500858646 339.3513278016392 110913 0 \n",
"1381.5014921207378 21289.828125 16.302898406982422 664.5797804765874 339.3491398520347 110914 0 \n",
"1381.5028809891458 21266.3515625 16.29288673400879 664.5790106545255 339.3513312907625 110915 0 \n",
"1381.5042698574382 21234.845703125 16.279603958129883 664.5730941550626 339.3555631381705 110916 0 \n",
"1381.5056587258466 21244.953125 16.281909942626953 664.5782007755507 339.3468316465567 110917 0 \n",
"1381.5070475942555 21210.7578125 16.267162322998047 664.5770708377116 339.3442359060069 110918 0 \n",
"1381.508436462548 21231.01171875 16.27315330505371 664.5786574675517 339.34217245510536 110919 0 \n",
"1381.5098253309563 21250.466796875 16.277507781982422 664.5722297003167 339.3513272975753 110920 0 \n",
"1381.5112141992488 21236.35546875 16.2720890045166 664.582152318805 339.3452178427711 110921 0 \n",
"1381.5126030676577 21265.83984375 16.278945922851562 664.5729270180528 339.349710493043 110922 0 \n",
"
"
],
"text/plain": [
"\n",
" time flux flux_err ... cadenceno quality\n",
" electron / s electron / s ... \n",
" object float32 float32 ... int32 int32 \n",
"------------------ --------------- ------------------ ... --------- -------\n",
"1354.1088231272427 21566.349609375 16.116119384765625 ... 91191 0\n",
"1354.1102119888994 21563.88671875 16.118038177490234 ... 91192 0\n",
" 1354.112989712153 21475.162109375 16.089221954345703 ... 91194 0\n",
"1354.1143785738097 21583.30859375 16.12527084350586 ... 91195 0\n",
"1354.1157674355243 21575.640625 16.121679306030273 ... 91196 0\n",
"1354.1171562971804 21563.1015625 16.115528106689453 ... 91197 0\n",
"1354.1185451588947 21552.935546875 16.112627029418945 ... 91198 0\n",
"1354.1199340205515 21532.90234375 16.10567855834961 ... 91199 0\n",
"1354.1213228822667 21533.828125 16.105731964111328 ... 91200 0\n",
" ... ... ... ... ... ...\n",
"1381.5001032523294 21262.494140625 16.291688919067383 ... 110913 0\n",
"1381.5014921207378 21289.828125 16.302898406982422 ... 110914 0\n",
"1381.5028809891458 21266.3515625 16.29288673400879 ... 110915 0\n",
"1381.5042698574382 21234.845703125 16.279603958129883 ... 110916 0\n",
"1381.5056587258466 21244.953125 16.281909942626953 ... 110917 0\n",
"1381.5070475942555 21210.7578125 16.267162322998047 ... 110918 0\n",
" 1381.508436462548 21231.01171875 16.27315330505371 ... 110919 0\n",
"1381.5098253309563 21250.466796875 16.277507781982422 ... 110920 0\n",
"1381.5112141992488 21236.35546875 16.2720890045166 ... 110921 0\n",
"1381.5126030676577 21265.83984375 16.278945922851562 ... 110922 0"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lc = tpf.to_lightcurve(aperture_mask=tpf.pipeline_mask)\n",
"lc"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We've built a new `TESSLightCurve` object called `lc`. Note although we used the SPOC aperture mask you can pass your own aperture, (specified by a boolean `numpy` array) as seen in the [Making Custom Apertures tutorial](Making-Custom-Apertures-Tutorial.html).\n",
"\n",
"The above table displays all the light curve data. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Metadata\n",
"\n",
"`TESSLightCurve` objects have many useful functions that you can use. As with a TPF you can access the meta data very simply."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"2"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lc.sector"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Of course you still have access to time and flux attributes. In a light curve, there is only one flux point for every cadence. "
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(,\n",
" )"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lc.flux, lc.time"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"You can also check the Combined Differential Photometric Precision (CDPP) RMS per transit duration noise metric (see [Gilliland et al., 2011](https://iopscience.iop.org/article/10.1088/0067-0049/197/1/6/pdf) for more details) of the light curve using the built in method [`estimate_cdpp`](https://lightkurve.github.io/lightkurve/reference/api/lightkurve.LightCurve.estimate_cdpp.html?highlight=estimate_cdpp):"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/latex": [
"$300.86106 \\; \\mathrm{ppm}$"
],
"text/plain": [
""
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lc.estimate_cdpp()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The above is the Savitzky-Golay CDPP noise metric in units parts-per-million (ppm)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plotting the light curve"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can now use the built in `plot` function on the `TESSLightCurve` object to plot the time series. You can pass `plot` any keywords you would normally pass to [`matplotlib.pyplot.plot`](https://matplotlib.org/3.1.3/api/_as_gen/matplotlib.pyplot.plot.html)."
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"scrolled": true
},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"lc.plot();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Manipulating the light curve\n",
"There are a set of useful functions in [`LightCurve`](https://lightkurve.github.io/lightkurve/reference/api/lightkurve.LightCurve.html?highlight=lightcurve#lightkurve.LightCurve) objects which you can use to work with the data. These include:\n",
"* [`flatten()`](https://lightkurve.github.io/lightkurve/reference/api/lightkurve.LightCurve.flatten.html?highlight=flatten#lightkurve.LightCurve.flatten): Remove long term trends using a [Savitzky–Golay filter](https://en.wikipedia.org/wiki/Savitzky%E2%80%93Golay_filter)\n",
"* [`remove_outliers()`](https://lightkurve.github.io/lightkurve/reference/api/lightkurve.LightCurve.remove_outliers.html?highlight=remove_outliers): Remove outliers using simple sigma clipping\n",
"* [`remove_nans()`](https://lightkurve.github.io/lightkurve/reference/api/lightkurve.LightCurve.remove_nans.html?highlight=remove_nans)\n",
"* [`fold()`](https://lightkurve.github.io/lightkurve/reference/api/lightkurve.LightCurve.fold.html?highlight=fold): Fold the data at a particular period\n",
"* [`bin()`](https://lightkurve.github.io/lightkurve/reference/api/lightkurve.LightCurve.bin.html?highlight=bin#lightkurve.LightCurve.bin): Reduce the time resolution of the array, taking the average value in each bin.\n",
"\n",
"We can use these simply on a light curve object"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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+Y0vaAwMDERERYTJs7OzZs7F582asW7cO5eXl6Ny5M+bOnWsSyBUWFuL8+fMYOnSo4Heanp7O9k+YP38+7z1/f39s2rSJfb19+3ZcvnyZfb1lyxYAwIsvvsh2Dvbx8cGSJUvwzTffICIiAjVq1EDv3r1NmiRNnz4du3btQnx8PB4+fIjatWujR48eGDt2LNsPpWnTpjhz5gy+/fZbFBYWok6dOmjdujWioqLQvHlzdl8eHh5YtGgRNmzYgBUrVrDzQUyePJmuY0IIIcTFuF1QEBwcjISEBJw+fRq9evVilx89ehR169ZFmzZtrFqXUVZWhuPHj6NNmzaS5x0oLCzEuXPn0KJFC1SvXt2GT1e57N+/X3D5k08+KfgeM44+dyx9KZo0aWKSMRfj7e2NDz74AB988IHZ9Xx8fBAXFyf6fqdOnUQ/n7GlS5dKWq9x48b49NNPza7j7e2NN99802z/hfbt22Px4sWSjlm3bl3MmTNH0rqEEEIIcV4uGxQkJSWhtLQUxcXFAB53bkxMTATweOQYT09PJCcnY/78+QgJCUFoaCiAx+2gu3TpgrVr10Kn06Fhw4Y4efIkLly4gJkzZ/JqBOSsyzh79iy0Wi0mTpwomO7IyEjUr18frVu3hp+fH/7++2/ExcUhLy8PM2bMUPo0EUIIIYQQYpHLBgXr1q3jjbWfmJjIBgUbN25kJ4piZmXlmjdvHrZu3Ypt27ZBq9UiICAAs2fPRu/evU2OI2dd4HEHY09PT17NAldgYCBOnTqF+Ph4FBcXw9fXF+3bt0d4eLhgzQMhhBBCCCH2pjEY55iJ09HpdBg9ejQaN25sMv/AwIED0blzZ0RFRSE8PJztVEqIs0pPT6frlRBC3EBJSQl69uyJpKQktZPi1ph85M6dOwUHrGG4bE2BO4qKihL8MtPT01VIDSGEEEIIqSzEp70lLoOpPaioqFA5JYRYxlyn5mbdJoQQQohj0VO5EqhTpw4ACM4uS4izYa5T5rolhBBCiPqo+VAl4O3tjeDgYHaIyxYtWrjtJGbEeVVUVCA1NRX79+9nJ5cjhBBCiHOgoKCSGDlyJADxsf0JcRbBwcHs9UoIIe6utLQU1atXp0kfieooKKgkqlSpgtGjR2Pw4MHIzc2FXq9XO0mE8FSpUgV16tShGgJCCOHo06cP1q9fjy5duqidFOLmKChwIeHh4YJDkg4cOJB97e3tTZkuQgghxEWUl5ezE7ESoiYKClyI2JCkhBBCCCGE2IJGHyKEEEIIIcTNUVBACCGEEEKIm6OggBBCCCFERTTyEHEGFBQQQgghhBDi5qijsQuRMvoQIYQQQgghclFQ4EJo9CFCCCGEEGIP1HyIEEKIosaNG6d2EgghhMhEQQEhhBBFXbt2Te0kEEIIkYmCAkIIIYQQQtwcBQWEEEIIIcRtFRYWqp0Ep0BBASGEEEIIcVt9+/ZVOwlOgUYfciE0JCkhxNmlpaWpnQRCCCFWoKDAhdCQpMSdpaeno0mTJmong1ig0+nUTgIhhBAruFxQoNPpsHPnTqSmpiI1NRUFBQUIDQ3FmDFjJG1fXFyMmJgYnDp1ClqtFgEBARgxYgR69+5t9brJycmYN2+e4PEiIyPRrl07q45PCPnHsGHDkJSUpHYyCHEZS5YswfTp0wEAPj4+KqeGEOLsXC4o0Gq1SEhIQGBgIIKDg3Ho0CFZ20dERODGjRuYOHEiGjdujBMnTiAyMhJ6vd6kTZmcdQFgwoQJ6NSpE29Zs2bNbNonIYQQYo24uDhMnDgRb7zxBo4dOwY/Pz+1k0SISykrK0NJSQl8fX3VTopDuFxQ4O/vj9jYWGg0GuTn58sKCpKSknDp0iXMmjULffr0AQB07twZ2dnZiI6ORq9eveDh4SF7XUajRo14tQK2HJ8QQlxdUFAQ1e44CYPBoHYSCHE5sbGx2Lt3L/773/+qnRSHcLnRhzQaDTQajVXbnjlzBl5eXujZsydvef/+/ZGTk4OUlBSr1rXH8QkhhBBr3Lt3D7Nnz1Y7GcQKSUlJOH78OK5fv47XX39d7eS4vaKiIpSWlqqdDIdxuaDAFnfu3EFAQIBJaXxgYCD7vjXrMtavX4+hQ4di1KhRWLBgAf7880+rjy9Ep9NJ+ldWVmZ2P4QQYm+3bt1SOwluKzs7Gz///LPaySBW2L9/P2JiYpCfn4/s7Gy1k1NpGAwGFBQUyN6urKwM1apVs0OKnJPLNR+yhVarRYMGDUyWM23FtFqtVet6e3tjyJAh6NixI/z8/JCZmYk9e/Zg3rx5WLhwIbp27Sp7n0ImTZpk6SMCgKyO16RyyM3NRZ06ddROhuLWrl2Lzp07m9SuEec3cuRItZNAOKytYSeOR029lHflyhVMnDgRbdu2xbZt2yRvR0EBka1ly5Zo2bIl+7pDhw4IDg7GtGnTEB0dzQYFtoqOjpY0JKk7XcDksZdffrnStd02GAz46aefoNFoKCgghLgFjUaD33//Xe1kVDpMC4rr16/L2k6v15vMD1WZuVVQ4OvrK1gazyzj9i6Xs64QHx8fdOvWDQcPHkRpaSlq1Khh8z69vb1pngLiNpYvX46srCy1k0EIIYS4BfcJf/C47X5GRgYqKip4y5m2/NzhQ+WsK4apAmSqbZXYJyHu4u+//wYAk98LIcQ8oeYn1HzIuTHfD31P6jMYDPjrr7/UToYq3CooCA4ORnFxMU6fPs1bfvToUdStWxdt2rSxal0hhYWFOHfuHFq0aIHq1asrsk9C3MmNGzcAoNI1iyLEkaZMmQKAgmtnZ9yKgPoVqCcrKwujR49WOxmqcMnmQ0lJSSgtLUVxcTEAIC0tDYmJiQCAZ599Fp6enkhOTsb8+fMREhKC0NBQAI/HzO7SpQvWrl0LnU6Hhg0b4uTJk7hw4QJmzpzJGxVIzrqRkZGoX78+WrduDT8/P/z999+Ii4tDXl4eZsyYYdU+CXFn165dw71799ROBpEpPz8fe/fuVTsZhIMZwea7775jZzcmzmfOnDm8ApDbt2+rlxjitlwyKFi3bh1vqK7ExEQ2KNi4cSM8PT0BPO4gYhxtz5s3D1u3bsW2bdug1WoREBCA2bNno3fv3ibHkbpuYGAgTp06hfj4eBQXF8PX1xft27dHeHi4Sem/nOMT4q4WL17M/k3V6a4hOTkZ169fxw8//KB2UtzWnj170L17d8H38vLyHJwaYouNGzeqnQQi0enTp/Ho0SP07dtX7aTYzCWDgk2bNllcp1OnTti/f7/Jci8vL0yZMoWtUjVH6rojR46UPPyenOMbCw8PN+kFP3DgQAwcOFD2vog4dxttgBAlREZGoqioSO1kuLWIiAgsWLCArUXnovlrXEtubq7aSbCLFStWYObMmWonQ1H79++HVquloIA4VlRUFI0+5ADdu3c32469sLAQnp6eqFqVfj6EcFE7aOdw5MgRk2X3799XISVErspeMxobG1vpgoLKhIpDCZFp4sSJ2LFjh9rJEDR8+HC1k6C4ypjRLCkpYT/XjRs3XHqki4yMDBw9elTtZBALKntmkxBbXblyBZ988onayVAVBQWEyKTValFaWqp2MgSlpaXR2P4uoGfPnvjzzz8BPJ6BfMOGDSqnyHq//PILFi5cqHYyCIdQAHDz5k0VUkLkouBNPXfu3MHBgwfVToaqKCggDhEbG8vOx1AZOHPptSv2MSksLBQdbaiyPiT/7//+D7du3VI7GTZz5t8C+Qd1NCaEb+TIkSgpKWFf072MggLiICtWrKCp24morVu3ina+r6w36rt371aaQNlc4FZZvz9nVlnPeXx8vNpJsLvKVAiyb98+p74Wb926hUePHrGvv//+ewDA1atX1UqS6igoIMQKlenG7Szs/fAoLi5GeXm5XY/h7tLS0tROAqnE5s+fr3YSXFJZWRkKCwsdftxPP/2UnTRPp9Ph8OHDDk+DHEwTu9mzZ/OWS3k2OXPwIwcNn+JCaEhS51FZbgDOQqPR8M6pPc5vWFgYBgwYgAkTJii+b1u50vVUVFSEmjVrsq9XrlzpUuknxFndvHkTP/74o+L7jYmJQUJCgqoDZNy8eRNz585V7fjWcrcCQAoKXIirD0laWX5cleVzOBPjoMD4Paa0yRZ5eXmC47eryRWvpT59+iA+Ph7jx4/HmjVr2O/typUrKqeMMC5evKh2EogVcnJy7LLfkpISh9YUFBcXw8vLy2HHs5cXXngBw4YNUzsZDkXNhwiRiUpFlaPT6SStt337djunhMhRXl6O+/fvo6CgQO2kECOuGGgS+3LkMysjIwO9evVS5djWMPd7KS0tdfr0K42CAkIqidTUVLWTIEt0dDR69+4taVSUypr5lDI7OyHGzNV4LV682IEpIa7CUcFiZZw5250CbQoKiMNUlh+Ws34ONTqS2WLNmjUAHpc6m2s+lJycXGmHU3T1JjcpKSlqJ8Et9erVS3QIX0KMKVXa/frrryuyH2dw5swZq7ctKSkxeSY5a75ALgoKCCEO89tvvwkuNxcUAMDJkyftlSSn4KpV1MuWLVM7CW6LKZEtKyvDmDFjVE4NAczX4KjN1kzrwYMHkZ2d7fDj2su0adOs3nbTpk149913ectc9R5ujIICUmm4Wkm5Ej744AO1kyDLe++9J7jcUlBAXBd9r/bBnNfy8nKqsXESvXr1wrVr19ROhl188sknaifBLuQELX///TeAx7+50tJSeyVJVTT6kAuhIUnN69u3L5KSktROhkOdPXtW7SQQha1atQpt2rTBq6++qnZSiAuhwMA5cCfDciZql9g7a+GAnHQNGTKk0ucxKChwIa4+JCmxL2e96UrFTb/xA8w4GK7MfvnlF5SXl1NQQCRhfiuHDh1y6HEzMjIQEBDg0GM6yokTJ/Drr7/io48+AvB4Eq4FCxbY/bhqZ9ytdfToUVy6dAkzZ86UtP7hw4fx8ssv2zlVfGrO0eBK3OdJS1Tnqjc8Yl8Gg8Hk2jAOcFzx2jEYDCgqKpK07s8//2zn1JDKRu1CgDfeeEPV49vT9evXeb/Jffv2Sd5W6vdy+/Zt5Obmyk6bPWi1Wpvmgrl27RpOnDgBQNrnz8rKsvpY1jpy5Aj7d35+Pvv3w4cPsWLFCpv3/+uvv9q8D2dAQQFxGLUfYsQ5MUGBM18fCxcuxK5du2Rtk5SUhL59+9onQYQYccXA2Z1Nnz7dZP4VOcGHHNHR0WZHq3rjjTeQkJCg6DGdudO1Vqtl/87IyEBsbKzZ9W/evMmbEFCoIKuyoKCAEOIUDAYD0tLSeCU6DLVvwFevXkV6erqsbbKysqwOdORu58wBFbEP+s4db8qUKbh7966i+wwODmb/zszMVHTfXOZqAvLz8yX3hcjNzcV///tfi+vdv3+f95p7D3fFa/f8+fNqJ8EhKCggDqN2xq6yiIyM5E3m9cMPP6iYGmVoNBrk5uZi2rRp+Pzzz03eV6O62VZCwY0U1vxOunXrJnl2aEdzxe9OKYWFhbymCvbAXC/R0dF2PY6jlZWVsSW6zjJPyYULF/Dw4UPeskuXLqG8vFzWfv7v//6P/Zu7rStkls+fP4+lS5fK3o772Vzhc1pSGT6DEAoKSKUwY8YMSett374dX375pZ1TY187d+7klcIwn8dZblIlJSW4dOmS5JktX3/9dTbjqHQpHFdWVpZDM07GmXtuJsce9Hq93fZtbNCgQZLXdedJtlasWIE5c+aonQyndOzYMcHlzP3s+eefR79+/XDt2jX0799fdD+ObpdvXGIcFhbGq0WUch8Wa6rjLPdwY9zfsKXrmbnvGX8Wbk2Eve5VQUFBAB4HkebSaet5Fiu4+frrr23arzOgoMCFhIeH47333uP9++mnn9ROlmT2rCk4deqUpPVu3brl8rPIOrtLly4hLCwMzz//vOTAgFv6Zs8Ho9wSPS5b07Vr1y6MGzfOpn24ImfN6DhCeXm5TR04zWHOqz2bnNgTM7IPV0FBAX744QfenDOWfjMvv/yyVZNqWSJ23TIzsduDs9Sml5aW8u6VUpoLMds5g4cPH5qtqX3zzTfZvy2dc+O8BVPzJ7Td3r17ZaTSOdGQpC6EhiSV7t69e2jQoIHaybCbnJwctGzZkrfMWR4oXNZmCMUyUo8ePUL16tVtST7XU10AACAASURBVJJVlDi3jx49kjwakT3l5ubi5ZdfFh1v22AwoLCwEL6+vg5OWeWkdFCUmprK26+jhyK1p7/++gsABIf/ZCYFy8rKgq+vL+9ZqHTJsy2/93v37rlkR1RuesPDw9G5c2e88847ZrcpLi5GRUUFWwP7wgsvYNWqVYLrOlPzIW6TvunTp5td17j2+t1330X37t0F15VaCObMXDIo0Ol02LlzJ1JTU5GamoqCggKEhoZKnuq9uLgYMTExOHXqFLRaLQICAjBixAj07t3b6nV///13HD9+HFevXsWDBw9Qs2ZNtG7dGiEhIWjVqhW7XnJyMubNmyeYrsjISLRr107GmSBiBg0aZDbT44q41a/vvvtupZpExfgBeuvWLcH1Vq5ciY8//lh0P48ePUK1atWc9oFcXFxssTTN3iMxlZSUmH3/1q1bGDVqVKW6vtQi9TrcuHEjwsLCeMt++ukneHh4mMxXMWrUKACPM8KXL1/Ghg0blEmsExHq9MqMZjNw4EBMnToVYWFhGDx4sF2Ob8vvb/78+Zg/f77o74dbAu+smcicnBxJTR2joqJM+gxJ+Uz2fgbb+/4ZExMj+J4tNdHOwiWDAq1Wi4SEBAQGBiI4OFh2SUlERARu3LiBiRMnonHjxjhx4gQiIyOh1+tNhhCUuu7Bgweh1WoxZMgQNGnSBAUFBYiLi8OsWbOwePFiPP3007z9TpgwAZ06deIta9asmazP4WqcIaNmrzTo9Xq7T7C1bNkysxlKZ7whiZ3vGzdu8F5LPXeWOtP+61//wowZM/DSSy9JS6BESmXUS0tL8emnnyqQIvsRuo62bt2KVq1a4fnnn1chRa5L6jWzfv16jBs3DlWrVkXVqo8fy4cOHUK1atXYDObdu3fRuHFj3nb27sQsRXFxMby8vBx6TI1Gg8zMTLs2nVLqWfHgwQP4+PjA09MTwOPOygxnqDlk5OTkICYmRlYTx5KSEpNnktgEZkrXFPTr1w9Hjx512MSWf/zxh8V1nDXIk8PqoECsk5A1XnzxRVnr+/v7IzY2FhqNBvn5+bKCgqSkJFy6dAmzZs1Cnz59AACdO3dGdnY2oqOj0atXL3h4eMhed+rUqahduzbvWF27dsWUKVPwww8/mAQFjRo1cttagcuXL6Njx452P46jqnAfPnyIAQMG2L1k1dKwcUuWLLHr8ZVkPIIH93sy96DUaDSIj48Xne03MzPTYQ9aJvPMZOKMiV17So8HLpc1D+Q9e/agX79+aN68uextuSNlEXEzZszA008/jXfffVfw/aFDhzpl7U2vXr146Tp06BC6deuGOnXqyN7X6dOnAQj/do4ePcr+XVhYaLdaAjmk9BcZO3Ysxo4diwkTJjggRfJkZ2fDz88PAJCSkoLDhw8LBgXWPEfN3WeUCAq0Wi27n8mTJ+Pbb78VXE+poJW5NtPS0mzelzOzOij46quvFMtwyQ0KbDnumTNn4OXlhZ49e/KW9+/fH8uXL0dKSgqeeuop2esaBwQA4OXlhaZNm+LBgwdWp7cyevPNNx3ycLt06RKeeeYZWdtY0wlZ6vjO9paTk6N2EkwoHZRpNBrMnz9fNChwpHnz5iEgIAD//ve/Fd+3szZxs2Z0qMOHD7vlJG579+7FwYMHJd+DcnNzsWnTJowePRp169blvSfUZj4kJMQpRzuZN28eli9fbtV3zrRNF7pvHD58mP37zp07vPdu3ryJzMxM2fd7c4x/g0LXvpQmNuXl5Th9+jRWrVqFvXv32nWgC7k11iEhIXjrrbcA8M95QUEBDh48iFmzZgGw7n40YsQI3mtrS9Fv3ryJZs2aoVq1aibvMbPGcycWM2YctBLzbGo+xDTfsdbZs2dx+/ZtW5Ig2507dxAQEMCW8DMCAwPZ95mMvpx1hRQVFeGvv/5C586dTd5bv349li1bhho1aqBdu3YYPXo0OnToYDbtUschr1atmuAPSG0ajUb0QXH79m0kJCRY7Ngkx+TJk2XfDL777jurj3fgwAF2qMYbN24gKyuLF1AGBQVh3rx5aN++vdW1RNwb9/Xr161Oq5Ddu3eb3Mjt4dNPP8Urr7zCW+YMTcvkYpoFGGPO48mTJwE8flDLmUNA7XPhrAGJo+Xk5CAsLAx79uyxavuMjAwA5s+nVqvF//73PwD/fO86nY4NCo4fPw4Aoh0bXd2NGzcQGBgo+3llnEHfuXMnCgsLbRpyeNGiRVi0aBEA4d9gcnKyybK5c+dK2jczhPT27duxc+dOdrnxtSF0rZSVlfHOD7OOcRqTkpKwcOFCWSMSVlRUsPvjzkAsZW6Rc+fO4eDBgyYBrJi4uDj2bzn3mJCQEKxfv54dbtSYcVNULuZc2Puexv0uQkJCsGPHDrsez55sCgpatGiB0NBQq7fPyspyeFCg1WoFR6VhRtrgRv5y1hWyfv16lJSUsB3DAMDb2xtDhgxBx44d4efnh8zMTOzZswfz5s3DwoUL0bVrV9H9TZo0yfyH+//kdLp2NO5Qc1zXrl3Dt99+KykouHr1KqKjoxESEmL2fIlRuuaGueEsWrSIDQoOHDiAxMREk1qmiIgIDBs2jDd5jSUVFRWCpUtjx46VnVZzo/d88cUXDgkK9u3bZ9egwB6ZarE+BULHMj6P27dvxzfffMOWyDmSwWDAw4cPUa9ePd4ya/dlzbauGmQUFhbavanAnTt3EBkZaddjWOO///0v6tati379+tn1OKGhofj2229ll/AzoxQxlOjzc+DAATYokOLmzZs4d+6crGNYqs0Vup98+OGHWL16Nfv65MmTWL16tcmklb/++qvsiQI1Gg1SUlIAAL/88ovgOnq93qS5JwC2mZvUGuoTJ06wfzvqnmDvJrV9+vTBiRMneJ/n5s2bdj2mvVkdFHh7e6NGjRo2Hbx69eoO76DkKDExMTh+/Djeeecd3uhDLVu25A0l2aFDBwQHB2PatGmIjo42m8mNjo6WNCSpkrUE5eXluHjxIrp166bYPm2VnJyMY8eO4d69e/j+++9lb6/0mNa21C5Ice/ePUyaNMniA9rSjba8vBw9evRwyqpUazLyQUFBgp/FUSXtzPk+duyY2SaQDx484JXCOdIff/yBt99+W/Q7f/jwIS5cuAB/f3+Tfk9ctpzTP//80+ptXZlYia7QOoB1Mz/bK3N14MABNG/eHHq9XlanfWvmZMjLy0NmZiZvKEum/TaXpc9q7v27d++iZs2ags18LWFG69q0aRNveUhIiMX0GH/33CZQzDpcQuePO1El8LiZ2a1btzB58mQsXrwYjRo1AmDdjNYajcZis56kpCTs27dP9r4ZSt/7Hj58iNmzZ0taV2wiNaUw/dcqQwdjhtXdtnfs2IGpU6fadPD33nvP4dUsvr6+giX8zDLu2Nxy1uWKjY3Fzp07MX78eEkzf/r4+KBbt264ffu22dFlvL29Jf1TMihIT08X7fgmZs6cObh06RIA4LnnnhNdj1udKPTg/Oabb0yWnTlzxqYMiq0ZxtWrV5uUmnAndsnKysLly5fxv//9T/Ebka37s3Z7S0NYKkHtJjNCjh07xpYECpVEMg99oUmYuOSOCmVtqadOp2ObmzCM26JrtVpeh7wJEyZg7ty5dp10x56zVKvp5MmTkkZqMRgMktqe23O2a2t9/PHHos02hDD3Cku/5xUrVrB/z549G/fu3TPJMBuzVCJt7jfzwQcfSC5AKigo4D17mFpdsWGSAWDkyJGi6TEYDCZ9IMTSfPnyZZN1xM7lxYsX2XPCbY0gh0ajMdsnLikpyebJ9xITE02WGQwG5OTkoLy8HHq9XnRwCKFnT15enuBIQPHx8QDAGy6UyU/Zs/ldWlqayX1XSEZGhkvUmrrdjMaBgYHIyMgwudCZHy13WFA56zJiY2Oxfft2jBkzRtYPVUqpkhqsmRTmyJEjbLW7uRuKpao9odEEpk2bhi+//BKAvEzugwcPMHnyZHYklOTkZLad9/3799ng1NL5505nL2T48OGYOXMmcnNzJaUrKChI0g2FYc31cffuXYvHMNekyrgJlBw6nY6dbInL2pujI34fzLUbExPDtve2lJ41a9YIVrED/5T0Sb0mmH1OnjxZ0vpvv/02gMd9TJiOgWIyMzNx4MAB9jVTwrVv3z6zmVJXeJg52sOHD9kJtYRwz5k1zXCkXOu7d++WvV+p7Pmdx8bGKnosc+dq/fr1Fu/bXH///TfvNbfZizlbtmzhvdbpdCgqKjI7+paUzy3lOuDeY/v06YNDhw5h6tSp2Lt3Ly9dxvdijUbD9n0SYmvBrzmDBg1CfHw8Tp06hddee01wHW7/iPLycpMggRkyHng8PwTweBAcR5I6i/Mbb7yBe/fu2Tk1tnO7oCA4OBjFxcUm1ZNHjx5F3bp10aZNG6vWBR7Xnmzfvh2jR4+W1deisLAQ586dQ4sWLVSZrdUctavFrOlMy62G/+6777Bx40bk5+fj4sWL+P333wE87p/BNKm4evUqli9fbrIfg8Eg+/NbE0StWbNG9jZCxEpbjh8/jk8++YR9AF28eBH/+te/eOswo/ncv3+f7ffx3nvv2ZymQ4cOSQqOpWb2HdEHafjw4RbXqaioQGZmJlsLEB0dLZohZ66J7du3S9ov85ARGlHjm2++MRkOmrmmw8PDLe7fGPe8MxlX48yNvf32228O71umBHsFqPfu3ZPc5OLUqVN2SYMlQvfF27dvY+PGjexrrVbrsGZz5mrXrO0oLhe33T/wuNBLTh8FMcbXmaXrrqioCNnZ2bh69SouXLjAK6k3vhc7Yp4LoUEW9Ho9Hj16BL1ej9LSUt46QkHKZ599hoiICJM5EPbt22cSYDqaUG3Gzz//rEJKlOGyQUFSUhISExPZ6v20tDQkJiYiMTGR/ZKSk5MxdOhQ3kUTFBSELl26YO3atUhISMAff/yB1atX48KFC5g0aRJvpCE568bFxWHbtm3o2rUrgoKCcO3aNd4/RmRkJLZs2YLExEQkJycjISEBs2bNQl5enuSOxK5AasmPWEaWySSMHTtWdhv4gQMHsn+fO3cO69evlzQM3LfffsurIr5w4QL69+8vmqnNy8tTZDhSc+fq/v37Ng9ht3LlSt7rnJwc0ers1157jR0h6rfffrPqeNzmImIPMGszVEy1sZwmDfbw3HPP4eHDh9i/fz+7TKzESE71++7du3Hnzh32mvjxxx952x8+fFhwFBTAtH36kiVLTK4tKe2Ohdo9azQa3L17V7EmLnl5eezfS5Ys4dVeuLKCggKTGiG582ZMnTqV1yRRaRUVFZLuqdzfqHHGhztnAOPq1avYunUr+3rmzJm8fgLA48ySNX0nLJFyP7Gm/5ktSkpKzD4frClAAmyvVWGuR6aDsb1FRUWZLON+BuPvTqhw4+7du0hNTUV+fr6kEZscWbMplG9bunQpgMd9c7iDFThbSxAhis9onJ6ejsWLF/NKDOxh3bp1vA6jTEAAPJ4ynpk9UK/Xm1wg8+bNw9atW7Ft2zZotVoEBARg9uzZ6N27t8lxpK7LZKAuXLjAm7GQwWQeAgMDcerUKcTHx6O4uBi+vr5o3749wsPDTWoe3EGfPn2QlJRkMhoPd/SWzz//HD/++KNgu00AZkeAYEpbzd2AmR8qtx3p7t274eHhgaKiIsHmLwAwceJEk1Jl4xI0c6P9MIyvz02bNqFq1aqYOHEi4uLisGHDBsH1zNHr9SguLkbNmjVNtjUu0ZKirKwMWVlZ+PrrrxEZGYl///vfGDNmDDskcVlZGWJiYjB48GD2hgj8c27v37/POzdio1DJdfPmTcTHx2PcuHFWdSKUKiUlBZ07d0ZQUJDZUToY3KBFzsOfyXQzmbDPP/8c/fv3Z4c+1ev1vCBBbEbXv//+G3FxcSbV8pbabRszGAzo1q0bmjZtimPHjik2aWX//v15GVNnbJ7EfYAfOXIErVu3tjjr/IoVK5CZmYkNGzawn8nckIn2nuBJyMOHDzF16lSLgQH3+D179sRPP/2EJ598En/88Qe7rblMb2lpqcn9cPbs2YrPNi6UXkvKy8vx66+/4oUXXrDqWFLuXzk5OWY72WdmZpqMoiSXWMDJLP/pp5/QtGlT3nvr1q3DrFmzREcodETtjtB3VV5ebnaIe7VbLcjBfL6IiAh8+OGHJt+BM1M8KCgvLzfpLW8PxiMBCOnUqROvJI/h5eWFKVOmYMqUKRb3IXVdbkbInJEjR4pmbi0JDw83mZhk4MCBvJJxZyF1+EYpMjIyoNVqRTt6MX0MhDClt0ytjtQ0fPHFFxg2bJjJcu7n0ul0ZjuRGgwGSaP9GJ+rdevWAbDtJnjkyBEsW7YMR44cMTmGcftac81OmA7jJ0+exMcffwzgca3Y6dOneXNOZGZmYs2aNTh79ixve+Z8R0RE8DLTc+bM4a1nqe2+mMTERGzZsgXVqlWzao4LpolY9erVkZ+fj1q1apmsw2R8mMx9r169BPcllvmX08SD+Z641c96vZ4dqzwtLQ3bt2+Hn58fwsLCJLdRTUpKEqxdEesHobRffvlF9LwpMZykvS1ZsgRvvfUWxo8fD+Dxdyp0L5ETAN6+fVs0QC8rKxPsoKnEZGVMuo1ner137x5GjhwpGvQmJCTghRdeQGxsLBtc9ujRw+b0AKaTkVnj2rVrmD9/Pj7//HPecqFrKysrC9OnT7d4bxZ75kgZPEBKjYiUWmBzzYfef/99wc/A7Y9n3Kfh+vXrZpt0Gl93tnY0toT5PJbmvLp+/Tratm3rEqXtDL1eb5LeOXPm4IsvvlApRZbJDgostd+S2pmOyBcVFSVpSFJHKC8vR9Wq5i8fpiqZydzK6exlzNbxspkfptJV11JuUMazTMbFxaFOnTombfZjYmJ4o5msX7+eF4zKyTjpdDpeEw1z25vraLZs2TIAYAMCwHzHu/PnzwsuF8to2IPUh0ZQUBC+/fZbvP/++zh9+jReeuklwQ5vUjM+9iphi4uLw9GjR3nNH/73v/8hLCxM8meVUjJsT+aCF+YzHDhwAIGBgejYsaOjkiWZ8XmeMWMGPvnkE8F1uaPOmJOSkiJYqwyIl0Tbcg81lpOTg8aNG7Ovi4qKeNew8WdetWqVaM3A7du3RUeTu3TpEi5evMjOqyLU9MjW8eSZ48XHx6N9+/aipeDnz5/H008/LfpbNf7OxEr6pfzulJoPR6PRICgoCEeOHFGkNvThw4ey5t9YvHixzcc0Zq75kDmuEhCYuwcwBXXOSnafgtjYWMTHx+PIkSOC/3799Vd7pJOoZO3atQD+maiktLQUer0ewcHBuHTpEoKCggQn4vryyy/ZTAiT+V2/fr2kY9qj9FLox7lx40bcunXL6puS1Ey6UOkh9+HO7MfSqAm2lqYKPQiFRniyhJuOlJQUzJ07V/G+A9akxdjmzZstZtR1Oh0vo3Pw4EEA/zTf4dY0Wjr/mZmZNgUGffr0ERyFrKCgAFeuXOHVRqalpWHx4sUmgR/w+KFz9epVk/3IlZeXx5Yy2jqJl16vR1BQkGi/C4PBgG+//VbWSFyOZvz9C51bKeeb6WNmbl2x95Q4P8y+mf8HDhwoODOv0PW+Z88ewTScPXuWF+AwBUFXrlxBWFgY1qxZo1itgiVRUVG8+yv3XO7evRu7du1iR+wy1q1bN0mTT6mRObW2/5rx88dS52Lj9e1R0CslKBDqv3Tt2jVJz0FHdKA2x9qgxxnIrimoX78+Jk2aJDpMYWpqKj788EObE0bUl52dzY68dO7cOaSlpWHWrFlsiQ/TpyMhIcGkpKesrIz9YVgqnec2HVmzZo1NU9WLERoF4sqVK7hy5YpgkxEAbMZKiNz2/UKYpjZS91VaWir5BiNUhd6/f3+T9YTmguAy1xnt559/Rq1atXD48GG8//77ktJlL0LncO3atXjllVcQEBBgcXvjpjU9e/ZEkyZNZKdDrImMFEVFRexIKUIPFeOmBvv370f79u1N9rN27Vr2mpY6rKmQGTNmCI6bbg3mWhf6LTjjQ3PLli1o164d+9pcEyduTeC5c+fYkVTEfvfjxo3DgQMHzH5uR44AlZWVhcOHDyMsLIxdJpY2sYkfjUdv+/jjj9GhQweHdWY1NmzYMOzfvx+FhYW8762iooIdKpRx8+ZNXkDDdORXqqRfKdZ2TDZuPmQpw2zc3NEezfuYz6LRaESvtX79+ll9P7XnUKpSXb9+HRUVFSZNvgHhie2cheyagubNm4t2vARco30okca4yn/OnDlITU3FZ599BsC0itv4JsrcfIzHfTa2YMEC9m9L61qi5Cgm5sYg/+abbwRLaQHTmg6hm/nhw4fZ82Xu98J0MgYed2a3tiZOiVGSGEx6z5w5wy4TK00yDk6UxrTJ3rhxI4YOHWry/oIFC6DVannnmFtaPX36dNF9GzfVcMR9TSgjwjw8zAWpxutLSSu3M78QpQIC4J/mYwaDgTdCDVdRUZHDh0MVs3r1ajYIKywsRHl5ueg5HTx4MPv3/fv32QyncRDHvZ+q2czWuKaAwb2fudozXKzfgPHQ4EJtvKdOnco2kwT4k1GKnQdHZuiYY+3atQuLFi0yqbVTus2/cW2eUKZWKZauM6Fmp8bPU3v3ebBGfn4+OwhEUVGRyehdckckcyTZ3/awYcMES6cYDRs2tLl9IHEOlm4Gxp24mbHuGdZc+HJuQMwNhdshl+kYK1VCQoKs9aU0ITCm1+sFO6Zt3rzZZL+OHGrTXGc5oU6O5jjDcLpCM+f+8ccf6NevH+/h8sUXX1h1nh2ZUeIG3OauMaGRbQwGAzIyMkyWG8++KzQ3gFigqySxzrLOMLrI+PHj2XPHfN9hYWG8exlT82mpn5Lx9TJo0CA2OLfnDNJSaTQa3mhUTEf9AwcOiA57K4cjfy9CmUeh41dUVMge91+II4MCZuCWv/76C1evXsV3333He1/pkR6Nm+1Y6jtoDSZjf/nyZdnn0rgmw9aCRHthCs2++uormyYAdTTZ33aHDh3Mvu/p6YlOnTpZnSDivIQm6TDGbTpmLoM/YMAAweVyq2zXrFkjmBmU6urVq5IywBUVFYIPSikTUun1esHOWkyJj8FgsLpq2ByNRmMyyg+XuRIWa4YtdRZCJeXczK6jJlRyBKGJmcTa/5ur+WIINTFzBK1W6xSlZ1evXmWvFeYaMq4RZUZ742Zm9Ho9r5BkxYoVgr9pprne7t27VZlrIyUlBfXq1QMAjBkzRnC2XXvOkeBIzPfHrZUxbrZhrtUD4BwluswzUew5pXQfPOP5abjzMSmF+W727NkjO8PMTNbo7IR+/1LyUGpTPgQkduPoIUmNI3hznQ0nTJgAgF9iY+6GK3YjMzfngBDj/gdyM3y5ubn44YcfLK6XnZ3Na3PL3V4MN2Nq7sZtrxI1jUZjdqQDa8fo5s7w7WztboHHTYbMzRLt7KM/GHPWtqe22rt3L1566SWkpaXZ3JFZScYjhzD/l5aWinb0LSsrY5tVAo8z1szcElzcJmBqfK/Hjx9nh8QWCggAKFJLAEgbbtOehO6rxvMWffXVV2bv4WK1qWrNJC3E3jM2C81IbCvud2A8wR3weBQpMXJrsZ2JMzZ1MmZzUJCfn48tW7aYbZtLlOHoIUnlNOVR+wHAkNscSCprMu7cTnnmMgCZmZlmJzhSg9TPGxkZaeeUWMces6Zy+1A4kj3b9Doat/Tss88+M2kK4UyMfwNarZbXMZ87eMGgQYN46z569Ag5OTkm++SWwqrVbr+yBpnGhM7v6dOneYUa1po/f77N+3Bn3O9GqBmjPQYbcTTuEL2uxOanjU6nw7Fjx+zS/IGoy9LDQ6kSJVfwxx9/yN5GbPhFIUKT7NnKlt+kq3U0tESJ9upiI6/YmzXDxjor46YJzlRDYIyZc4MJMHfs2CEavFvTcXjFihXWJ85KGo0GO3fulLSus7bVlkqsJoRLbHIyYl+Wnk22zvTsrFyh6VPlKYIixI5srfazFGBJfVA7SmW7KUudcZzY10cffaR2Eizat28fAPGJ+JTCdCB1NKlBpr0/v71JudacoXO7O6pshU5SRUREqJ0EiygoIKIqU7MFW9lyE9u4caNd2mUSQpTnqtX+RD5LfaIsTShJSGVDHY2JKGdve+oqpQ0xMTFqJ4EQYoG5IXoJIcpxlWe3O6KiYCLK2YMCQghRCmVUCHEM6oPqvKimwIU4ekjSmzdv2mW/Srl+/brDjkUZBkIqN3coBJEyrwoh9kbPU+dFQYELcfSQpHJGzyGEEOLcjGerJYQQLkWaD1HUVznZY3pzV+UKMxESQgghzo6aDzkvm4MCX19fhIaG0kg1lZA7VKdLlZeXp3YSCCGEEJfn7gXJzvz5bc7J+/j4IDQ0VIm0ECdDgd4/HNl/gRDieM78oCakMsnMzFQ7Capy5nsN5fqIKKop+Mfx48fVTgIhhBDi8i5fvqx2ElSVkpKidhJEKdZoPDc3F3fv3kXjxo1Rp04ddvm9e/ewdetW3L59G/7+/ggNDUWbNm2UOiyxIwoKCCGEEKKk4uJitZOgqtzcXLWTIEqxoGD37t04cOAA1qxZwwYFxcXF+Pjjj5GXlweDwYD09HT8+eefWLVqFRo0aKDUod2Go4ckpeZDhBB34cxV+oQQ4giKBQWXL19GQEAAAgIC2GVHjx5Fbm4u+vTpg9DQUCQlJWHjxo3Ys2cP3nvvPaUO7TYcPSQpIYQQQghRjjO3wlAsKHj48CHatm3LW3bu3Dl4eHhg8uTJ8PPzw5AhQ3D06FEkJydbfRydToedO3ciNTUVqampKCgoQGhoKMaMGSNp++LiYsTExODUqVPQarUICAjAiBEj0Lt3b4esK2efanPmC5cQQgghhChHsaCguLgYXl5e7GuDwYDr16+jZcuW8PPzY5cHBATg3LlzVh9Hq9UiISEBgYGBCA4OxqFDh2RtHxERgRs3bmDixIlo3LgxTpw4gcjISOj13OAbkQAAIABJREFUevTt29fu68rZp9qo+RAhxF1Q8yFCiLtTLCh44oknkJWVxb6+ceMGdDodOnXqxFuvoqLCpkmx/P39ERsbC41Gg/z8fFlBQVJSEi5duoRZs2ahT58+AIDOnTsjOzsb0dHR6NWrFzw8POy2rpx9OgOqKSCEEEIIcQ+KFQW3bdsWKSkpOHv2LHQ6HXbt2gWNRoPu3bvz1ktPT8cTTzxh9XE0Go3VmdUzZ87Ay8sLPXv25C3v378/cnJyeMNE2WNdOfskhBBCCCHEURSrKRg1ahTOnDmDpUuXAnhcFdupUyc89dRT7DpZWVlIT0/Hyy+/rNRhZblz5w4CAgJMSuMDAwPZ95n02mNdOfsUotPpJH3OatWqoVq1apLWJYQQV2QwGFBWVobi4mIUFxejpKQEJSUl7N/c5WLvl5SUwGAwQKPRuP0wiYQQx3DmVhiKBQVNmjTBl19+iX379qGgoAAtW7bE8OHDeetcuHABzZs3R3BwsFKHlUWr1QoOherr68u+b8915exTyKRJk8y+z5DT8ZoQQpxJZGQkLxNvrq1/9erV4eXlBU9PT/Z/5m/mda1atQSXe3l5oUaNGmzfqezsbLz++uuO+piEEDflFkEBALRs2RIffvih6PuvvfYaXnvtNSUP6Vaio6MlDUlKtQSEEFc1duxYwUw7IYRUBm4TFDg7X19fwdJ4ZhlTYm+vdeXsU4i3tzfNU0AIqdQaNWqkynGd+UFNCCGO4FZFMIGBgcjIyEBFRQVv+Z07dwAAzZo1s+u6cvbpDOghSQhxF3S/I4S4O7cKCoKDg1FcXIzTp0/zlh89ehR169ZFmzZt7LqunH0SQgghhJDKxZkLIFyy+VBSUhJKS0vZ0SLS0tKQmJgIAHj22Wfh6emJ5ORkzJ8/HyEhIQgNDQUABAUFoUuXLli7di10Oh0aNmyIkydP4sKFC5g5cyZvVCB7rCtnn86AJvMhhBBCCHEPLhkUrFu3DtnZ2ezrxMRENijYuHEjPD09AQB6vd4kYztv3jxs3boV27Ztg1arRUBAAGbPno3evXubHMce68rZJyGEEEIIIY6gMdhYHJyfn48tW7Zg+vTpSqWJGNHpdBg9ejQaN25sMhLHwIEDMXDgQLsc98SJE5g5c6Zd9k0IIUKSkpJUOe6DBw/w6quvqnJsQoj7WL58Ofr27evQYzL5yJ07d5odsMbmmgKdTodjx45h2rRpNHScnUVFRdHoQ4QQQgghRHGUiyeEEOL2atasqXYSCCFuwJk7GlNQQEQ584VLCCFK8vLyUjsJhBCiKgoKCCGEEEIIcQBnLnCloIAQQgghhBA3R0EBIYQQ4kDt27dXOwmEVAoNGjRQOwmVikvOU+CuwsPDHTokqTNXcRFCiL29++67WLduneL7pf4LhChjw4YNOHHiBFasWKF2UioFRYICmvnWMRw9JCl9r65r9OjReOaZZzBnzhyb91W7dm3k5eUpkCpCnFvDhg2RmZnJvp4wYYJdggJCiDIMBoPLFWA6c3ptbj7k6+uL0NBQmqOAECdSr1499O/fX5F9hYSE8F63aNFCkf3a0/r16+2270WLFtlt3+7mySefVDsJPM78sCbiqlWrJvre888/z/7t6ekpa1viGij/qRybz6SPjw9CQ0OVSAtxMkIPyHbt2qmQEseqUqUK3nzzTcH3mLbASpTA25Ner1dsX23btmX/rlu3LjZu3KjYvu3FnplNHx8fu+1bqsrS/MQZayPfeust0feUmsvAGT+3K/Pw8JC03gcffGCyrFOnTkonR3GNGjVSOwlOzdWCeWf+/VN4RWRhSo3Hjh2rckr4lLwp7NixQ7SZFlPS5O/vb/Nx7NkG0p43HT8/PyxcuNBu+3d2ckql5AYnTNBtnPk0zswcPnxY8j6bNm0qKw2O5MwPR8A+6atRo4aiQbscTKFGly5dVDm+vTBBQYcOHUze4z4bhGoFpAYUaqtXr57aSVBUy5YtLa6zc+dOSftytaDAmSkeFFRUVODMmTP4/vvvsXr1at7D6+HDh7h16xYqKiqUPixxMF9fX7PvL1++3Oz7s2bNUjI5qFpVuT7zBoNBcH+DBw/G1KlTFTuOPVmT6QgKCuK9FnpYvvfeewDg0L4tzkZOUPDSSy9Zte8nnniCt3z8+PG810LNIFwRk+l2ltmEfXx8UKNGDdH3lcp8qBUMff/99wCAPn36AABefvll0XXr1q1rcX+DBg1SJmE2Yn43lkrUa9eubbLMWa49czQajUntoKvXFtaqVcviOlICB3O/VyKfokFBcnIywsLC8MUXX2D37t04fPgwrly5wr7/+++/Y8aMGTh79qyShyV2VqdOHfZvoYeiNSWRxu3UbfXVV1+ZfV/OEIAGg0G09Kh+/frs36NHj5a8T0ezlOmYM2eOxQDnueeeA8D/zplggLt/phT7jTfesCqt1lLrYS6nZNGazJ+Pj49J51axYw4bNkz2/p2Js9UUbNiwgQ3APvjgA1StWlWxpmjM9arRaEw+93/+8x9FjiHVmDFjLK7jSm3tzQXq3HMtVJMQEBBglzQpjfvsAZzvtyPX119/je7du0ta11zGv169epICWCKNYkHB7du3sXjxYuTn52Pw4MH4+OOPTS7aHj16oEaNGjh9+rRSh3Ur4eHheO+993j/fvrpJ7sdj8kMTps2jc10N27c2Ob9inVUHTVqFPs3t0Snc+fOFvfJZGDFDB06VGLqHmM6p40ZMwZLliwRXKdXr17s38Y3bCnseVO3VFMwYsQIiyVNDRs2NFnWtWtXk2VMtbYjg4KpU6fihRdecNjxGB07dhQ8L0o6fvy4zRnR5s2bK5Qa++L+5p2Bj48PqlevDgB48803UaVKFV6J5ocffihpP0I1OUK1j2r10bIU2CYkJLjEgAIM5vMI3Z8sMQ4omNpQYl9eXl6Sv68ePXqYff/FF19UIkmSKJEHcmaKBQU7duxAWVkZFi5ciLCwMMEHtqenJwICApCamqrUYd1KVFQU1q5dy/tnrzkKuDQaDdtciHlg2uKZZ56xuA7zUJ08ebLFKntuiZZYjYC5fQh1nOU+EMW2DQ4OZv82d9NSo82qlOZDjRs3Nps2pvSF27GWCQDUbsPp4eGBTz/91OJ6Slexb9myBU2aNJG8vtzAT0p1uRQjRoxQZD/2FBgYiLfffhszZsxQOymS1KlTh1e40LNnT9F1pQ5jyhQmqPV7Yo5r3Hne09NTUprUvg8wPDw88Pzzz7PnMzw8XPK23NGJAPMdzdXELS2fPHmy7O2tuSfYu3AhLCwM48aNs+sxlFbZm84qFhRcvnwZbdu2xdNPP212vfr16yMnJ0epwxIHMBgM7Ag0Go0GTzzxhElm5+DBgybbmNuf1OXvvPMO+/exY8cA/FO6yLS73rx5M7uOWDWyuYeXuU53Go1G9oOPKRH88ssvAQDfffed5G2VGtmGOZdCv8fY2FgAQN++fbFq1Sqz+6lTp47F3zQA7N69G0899ZTJcnsGrZb6kYwcOdJsBr5Dhw54++23ZQdtcq4HuUFB3759Za0vhaX0qtUm11kylELOnTtnssy4iQKT/t27dwPgB3RCn41ZptFo2KDdUtDqiFLJ7t27Y8KECQD+aVZk7rrl9m8R+w65n8sRoxMa/4b9/PwE16tXr55JYYIrNB/SaDS8Gmvuc1HOPuR69tlnZW/jSEzfGKIcxYICnU5n0jlOSFlZmWojLxDreXp6on79+vD19TW5uRgMBlnNZ+QEBVzMjb5KlSqoX7++4I1fieHluM0Fhg8fzvu8zN/GbVM1Gg3effddAP98DqaTqdjNuEWLFiY3NaWaFDG/scWLF5u817p1a0n7CAkJwaZNmyTV1AQGBrIPZm4fE3s1kZLygOvYsSOvNHfAgAG893v06GFzTUKbNm3Mvq/k5xfq3C+0/xo1asjKADiiPS7TITUpKYldxk2js7WPllNKHhgYCMBy6S2T+dRoNGjSpInZTr4Me5dKajQarF27Fn5+fvDw8GCDA0C8qdTbb7/N2x4A+vXrx1vHmu/TluZKHh4eosdk0tiiRQtUrVrVpfpKMJ588knRQMcdiNXK0fwEylPsjNapUwcZGRkW17tz545V7a+J+g4ePGhSqmL8MLCl1IWbQTP3UDbuqMddV6z0WE4miXt9ipU0GwfAGo2G97CUcuymTZvabVhSuQ9lodqAWrVqiXYiZ5pL7dixw+wIO6+88oqsdChFo9Fg4MCBvPbBS5YsEWwqxnw/TB+RI0eOSD5ORESE2feVzOz+/PPPVm3Xu3dv9m+hDvljx461e2nu66+/brJs0qRJJss2bNhg13TYQs49RCizwg0g27Zti6VLl1rcj6ODJe7xhJqOHDp0iPeaOSeRkZGyjiPU4deWkd2sGSKaqdmx9zlWYvhqqXkmpimO8XMwNDQUgwcPllTry+WI2jwpx3CmEaKsPSdSCgGcgWJBwTPPPIO0tDScOXNGdJ0jR47g/v376Natm1KHJQ4gdNNklhl3umTaBxv/cKQ0ixF7KBgfv0qVKhZLhYxJLVEwHvpRyr4B859Po9Fg27ZtkiagUbqmQKpNmzbJWp8J4OrVq2fyAOJ+BrkPIVtZumEbNxV7/fXXERUVxVsmNGyh2DHsmaGwthSsWbNmvNquNm3aoFmzZmaPY3wsSx37lPDaa6+xfzPnVMmhhZXCfMfG37W5716oKR23+ZC5ZULb2AvTdGzQoEHYu3evxfWNa5XEmp4JnRvuNfj++++bvG9Lqa/xb7Zjx47sqGhMUMxkrJm0GdccWsvSoAC7du2yaf9itZldu3Y1aV7GBJ5Ck2u2b9+eV0AgFKgbU6OJ3/79+x1+THuZPn06+ze3D6IzUywoGDVqFDw9PREZGYmYmBjcuHEDAFBaWoo7d+5g586dWLduHXx9fR0+dCGxjfHNk1tSb81DnLstU13dv39/yW2bzd2oxDpCS33gcH/EUo7HmDhxouD6o0aNgr+/P9q2bWuxqUrHjh1FMxrcgELKqDvMfho0aIDVq1eLrmfrTV+oKp459saNGx1e0im3ZsLf3x/du3eXPTqVVLZ8fksZRjFbt241OQ/m0tGqVSuTkrjBgwfLOqY74g6YsG3bNnYEtJdeesnsbPA1a9ZUNfj54YcfADzO0DO1AZ6enmjQoIHJusY1wQD/Xir3czAl2UL3Y1vuRe+88w6mT5/O3hsDAwPZWemZz8U0h2J+C3ICX24Aa8zSCIC29hMTGzzDw8OD1+TKy8vL6qa5YtQICuw9upsjMU0LAf7Q7s7cFEyxoMDf3x8LFiyAj48Pdu3ahVmzZkGj0SAxMRH//ve/sW3bNnh7e2P+/Pm8k0Okc/SQpAzj4fWYG8WpU6cA8G843FI1bvthoZtS165d2WpkuVWsBoNBcJ/2yMwIlewZE3s4fvTRRyaTtAiNbuHh4YFBgwaJlvBzazCkBDjMfqpWrWq2hELou5NDqFrX1n1KYfw9cIMyIf/+97/Zv6dPn867KVetWhWffPKJ6LY+Pj4YMGCAYKc7S59PKKNljtD+5D6YPTw8TLYx1/eha9eueOutt/D111+zy5Su6rb0GQwGAxo0aOCUD0umFJr7GVq2bMnLKLZt2xa+vr4ICAhgS2+5pbLA4wx2jRo1sH37dvzrX/8C8E+wz903k5m1FyYQELpnGdeKDBkyxGQdKf0chPodWBq0wZrhRBnNmzdH69atUa1aNd5zh8t4ZC8pNbeMzz77THD5li1beK/Hjh0reZ/WEhui+5dffhHdhvk+5d5LlBhtUA5zTTc/+ugjB6ZEGczIVh988AEvuHPmGcUV7aXRoUMHrF+/Hm+//Ta6du2KgIAANGrUCJ07d8aECROwbt06wWpVIo1aQ5KKkTJsnVCbdOYGtXbtWsH26ELtTblGjRrFG3GIS6wTmaV0tmvXTnSGRWtLbI0xn3v48OFm1xMaWWLkyJG89FhqluMMnfmFJmkSY0tpWrVq1djRsRjGGRduB8rx48ejXr16kh94TAdqa64DW5pECB3H2pGCvvjiCwCmQQdzXqpWrcpmfufPnw9AWvMCa4jNKXLgwAFeyZqzWLlypcmyyZMnC94vDAYD+71FRUWxGdTBgwejdu3aSExMRO3atdn7FNOMhhu0Mc1eAOvmP5FDrJmn1N+t8XCeADBlyhSLw3oaz88wZMgQwY70ttq4cSMbbBh/1urVq6NevXqCn1UssDDWsWNH3msl+g8YCwsL483nwb0+xBjXLggFBVLuY6+++qrUZCpCrOmmRqOxek4TKUNXK42pnWcC7xEjRrDDeTs7xeswvb29MXToULtVxzOKi4sRExODU6dOQavVIiAgACNGjDApnRGSkpKCmJgYXLt2DQaDAa1bt8a4ceMEq+mkrrty5Up2yEwhkZGRaNeuHZKTkzFv3jyz6zi74cOH826G5h4gCxcuFO2AK2bYsGGCHUIZPj4+oiWKYmkxzpzVrl0bs2bNYjNAtWvXFhz+z/gmqkR1qqUHrtjDsU2bNkhJSVHkGEIsfTappd6OaDLEpPXEiRPw8vLCuXPn0KBBA2g0Gjz77LMWR9TZvHmzSQbbXCd5az8Ts11MTIyk8biFHtrcttg//fQT+vfvz77mZianTZuGX3/91WSf3IIYc+elQ4cOOHXqFFszKBQ0eXp6oqSkxOLnMMb9XHPnzjVpQurMw5My54Obxj59+si6Jixl7sUyQ1JG9FOScTBt6XsRqoWcMmWK7ONYM+4+l1g6mRLZuLg4k/c8PT0RHx+Pu3fv2nRsezPugynlt8K9L3h7e7PBntzfmVhBmT0oNXO4MTVmO1ZqaHE1uOx4ThERETh69ChCQkKwaNEitG7dGpGRkTh+/LjZ7VJSUjBnzhw8evQIH374IcLDw/Ho0SPMnz8f165ds3rdkJAQREZGmvzz8/PDE088YTIM5IQJE0zWNdcZ0JmEhYWxDwNLNxmhqmah0iUuqZlv5pxaM8nOtGnTUK9ePfaBzy3hk8PDwwPLli2TPHSgpVFe9Ho9NBoNTp8+bXJD3r59u+R0WVNTYDAYFOl8JzRxELftq9Bsr3JL1JnvqmbNmqhSpQqee+457Nu3DxMmTJBUkubj42NSq8StTeBiMhZC10fDhg0xa9Ysi8ezpskkczzu+apduzZOnjzJvub2HXjxxRexdu1ak/0wpe/Lly9Hq1atzB6Teywm08uMXQ8Id2BUgrMNSfr/2LvzsKjKvg/gX5YRBhhAFBRBQUFCkCVCxVIURYtcyF4QMNMss1UzyFIylywy6TE1Q3p8kkrJJXCtUFwSHkRTX1NJUVxRw0TFBQUFgfcP3jPNMGdmzsycWc7M73NdXpecc59zfjP3nOW+z720JVtLuXnzZohEIs7XC02aqaiTnZ3N276UXfPWr18vrZjQpbCmqg9V2/3yPclgW7KjyLX9rWnShl3d24y2+5bNL7ZzUxuq3ljKHp859uLFi6UFtWeeeUZaoSlbEFXWT81QD9Te3t7Iz8/XeDt1zUYB5a0H9Mnf31/atHvMmDFyFVCGbpKlKUEWCg4fPoyjR4/ijTfeQFxcHEJDQzF16lSEh4cjJycHTU1NSrfNzc2Fo6Mj5s2bh/79+6N///74+OOPIRaLFZqkaJLW09MTgYGBcv8aGxtx9+5dxMbGKkyu0qVLF4X0+r4waorLDeGxxx5T2fG1Z8+eKC0tlV6sHnvsMbmaTk1NnjxZ+gDOZUg/RtuHThsbGzzxxBPYvXu32m1lvwcHBwe5dvS///47hgwZwumhlkvBg0kje+FgJkEDWl+Hc2mWo23zIT5qbNlqPdXVnPBxXGtrawQEBPAyV4Wsf/3rX4iNjWVtqicWi5GcnKx0W2Uj13Dh7+8PZ2dnhe9GtgCqLp9l37gNHjxYq+ZHfMzIHR4eLp3kqy1TfkvA6NGjh/R3xbxREolErG2gVU1cxubnn3/mHEdkZCTat2+vtgkiF8p+k35+ftJ4VfVHaluIbns91mTkMXUjfumTJhUSukz0Z+gx9SMjIwG0FvSZZiwdO3aU/o5l3+C3bdrC9JUw1LlpZWXFWlmkjmyLBWXDZxuDlZWV9M3Hhx9+KC2YcKlAMjatf6V1dXVoaGjQ6eANDQ2oq6vTeLv9+/dDLBYrTGgRGxuLmpoalU0sysvLERISIvcDdHBwQHBwMMrLy+VmW9YkLZudO3fCyspKp4dgUzds2DC1HYC0KRm3vWExHYhff/11hQ5yyi5csrUcyka7kL3Iq3twa9euHVxdXVFUVKRR7Fz3z6RhPg9z45dtQqBtByVlbWQ1uegnJCRwSqdtpzZN6GOwAlX5M2TIEOkEXMrwURMoG8MPP/ygcg4IoLVQoKommq8ObVyaZapia2trkv0FuEpISGBt9tn2YVabN46yzfK++eYbtellHzh0wSVWVQVC2c77gGJtf9sa7eXLl/PSidqYHU5VVTgC/3xWtr4FxngblpKSovRNiOw90ZgFc76OvXHjRl72ow6XeFUVAE29EkTrQkFKSorOrzKzsrK0mjSnsrIS3t7eChcs5qZTWVmpdNvGxkbW10nMsosXL2qVtq379+9j3759CAsLY22LnZ2djfj4eIwdOxZz5szBiRMnlO6LUVdXx+lfY2Oj2n3pw5IlSxAREYH58+cr1NbGxMTAy8tLLyeEshNQdlp4dcdVtZ5Zp0stEdc4li5dKh0G8K233oJIJGId4Udd7a0uHY2V9dfgckP/+eef5frbMDdCdUOFalKLlpOTY9QO9oy2I/QwhV9NJj9T57nnnlM5qVNTUxO2bt0KQLubDddhGWXncuDaCVOZzp074+uvv5b+bepNh3TF9fPFxMQojHDFdt6omqdFE127duW1zXjb3x8TY1JSEoDWfGeOp8t9YPDgwVpvKxuXrHXr1nHadu7cufj888/VvmFmCkjM55R9W64rZp8uLi4K1+q2x0hLS+PUL0XTeX+EhO/rizbNlYVE647GyoaENITa2lrWB22mvV9tba3Sbbt164bTp0+jublZ+iDS1NQkfbsgu60madsqLi5GQ0ODwoODg4MDRo8ejd69e8PZ2RlXr17Fxo0bkZ6ejrlz56oclo1tBlA2KSkpcu2ADYV5c8P2wDZ//nx8++230vkrVNFk1Jrt27ezXvRCQ0PlOmjJPnTGxsZq1H+D6ajJ19jibJ/Nz88Prq6uCq/r9+3bp/DAbGVlpXaGR7ZCQXp6OkpLS7WImDvZ81I2HwcMGIAvvvhC6XaaXET56vCtKobExETpeO5sYmNjlTZfU9UUIiYmRqOZidWNxKXrKFNMEwM2qs7BkSNHatTsRZatra3SEYiETpd7ItuswGz9r2xsbNTWWHOxevVqTk3DnnzySYXrhmzfPabgouyzazosrzr6mN2Wa4xtWydw1a5dO14qlYB/rlPp6eloaWnhbVjyyZMnqxzgQ5+4njd8/fb1zSILBQBw8uRJubGttdne0EaOHIlly5YhOzsbSUlJaG5uxtq1a1FdXQ1A/uFRk7RtFRYWQiKRKFzU/fz85MZLDg4ORlRUFKZOnYqcnByVhYKcnBxOHVqN0bGGC3XD1GmD6zBfsicpMzwj1+08PDywe/duzhf10NBQ/PHHHwrLVV34cnNzWZdr2w6V7WHx+eefV2iLLBvTwIED4eTkxGvBQdVs2IbCjMuujmxcwcHBKgsFbL8htu+c2Wf79u3x9ttvKwxQoIu8vDzeH7i44vOmJ+QbaFvaDligCSsrK16GHOZaybFkyRL07dtXbplsH6GMjAyV2/N1vo8ZMwabNm3SuM+GJtoObcwnZfMLaIr5rHzc519++WWlw3sbiiY1725ubrh+/Trv+9cEl9+zsvt2dHS03kZZ4otOhYKrV6/i6tWrOgWgTYZJJBLWWnpmmaoRAoYNG4Y7d+5gw4YNKCgoANA6ZvKYMWOQn58v1w5dk7SyLly4gLNnz2L06NGcTlwnJyf06dMHBQUFePjwodKHTwcHB86j3Jgirnnd9qTT5KbCdUjSthITE1XmFdfX7F9//TVKS0tx69Yt1vXKvgNNa8rV0eahgRkyc9myZRpvy8ZUHvZUPdyr0/ZhSBVVv1M7Ozu89NJLakfv0eQ7M1QbfU3HNrd0+v6ObGxsDDoPiS6fJyYmRuHay0x6qSlmyGi+5otho6xyRlNsIwTx9bvgczbsN998E6tWrTJqyw9zpCyvu3TpwutoZPqg9a9Ltr22ofn6+qK4uBhNTU1yrz+ZvgTqmoYkJCQgPj4eVVVVEIvF8PDwwPLly2Fvb68wZJ8maRk7d+4EoL4dtSxDdM4UMk2/F9kb0datW9VOKjNo0CCt4mqrX79+SmvadRmJRpm+ffvi4MGDSo+l7T75aBdvbW0NFxcXLFiwQG08pvC7Z4tBk8l7unTpojAD7ODBg+Xaz6tjSjfm6OhobN26Ve8VEZ07d1aYBEqo5s2bx/r2Rtff95gxY1BYWAig9bwyhckJuWCrjNFmlBnAePfItLQ0zmnVNcd67rnnsHnzZq1j2b17t8pZv3W5fnB98xAeHo6jR49qfRw2XONuaWnBK6+8gm+//ZbX42vCFO5V+qR1oYDvYf80ERUVhR07dqC0tBQDBw6ULt+9ezfc3NzkJu5QRiQSSQsP1dXVKCkpwfDhw1lr6TVJ29jYiL179yIgIIBzu/V79+7h0KFD6NGjh0mNYWusHz8fx5XdhymVzPn6TvkakpQtnoULF6psa85FYWEh2rdvDysrK8TFxeHy5cvSdT4+PpwnYWOjr9+lrg/k7u7umDNnjtwyrk2XTNHgwYNRUlLCWjPJZ+Fl6NChakdZEgq284aP78rLy0uaD3w1HzIUvs5Xvj6zpvmhyWAoY8aMQVlZGU6fPs263s/PDzY2NnBwcFDZJ1EZZW+smcEIuI5wx7Zs/Pjx2LBhg9yoimx5N2LECF4LBZp23NX0TYkpVbQIAe8zGhtCZGQkwsPDkZXgz2D7AAAgAElEQVSVhbq6Onh6eqK4uBhHjhxBWlqatLReVlaG2bNnIzk5WXpiV1ZWorS0FP7+/hCJRLhw4QLy8vLg6empMOOoJmkZBw4cQG1trdJJNTIzM+Hu7o6ePXvC2dkZVVVV2LRpE27fvo3p06fz+C0Ji6oLw2effca5sKSqmdD777+PRYsWaRwb39rWyEydOlWj7bnUtBn7Qti2aR0TT0FBAW7dumWUjvDaEHKHWLbZjRn79+9XO4kgoH2tLpGn64OxbKd9ITUf0lRYWBiOHTvGuk6fbwr4ul7a2dnJDXzBFqtIJEJsbCzrLMvamjx5ssbbtP3M9vb28PLyUjvUOt8GDhyocjZ5WZoMQqIv9KbARKWnp2P16tXIzc1FbW0tvL29MWPGDIXxtJubm+V+RLa2tjh27Bi2bduG+vp6uLu7Iy4uDgkJCQo3QE3SMgoLC2Fvby/3BkOWr68vSkpKsH37dtTX10MikSAoKAipqamc3nCYI19fX5UnuiadKZlmQmwn7tixYzUqFPA9wzTzGT08PLBv3z7pci6zMsqaNWsWWlpa8Oeffyr9HRr7wtkWE4+7uzvc3d3h6OiI+/fvS9drUvtjyI70mnQKU3az+Pjjj/kKR6Pj8zHpGDE9YWFhcjP0mipHR0dOTc9khzafOHEiUlNTIRKJFIbWZoY61mefAlXWr1+vdN2BAwfkRo5TFiNzbH2NoMPXdd/T0xOJiYkq+8DxdaywsDCVE905ODiY1MSuVCgwUWKxGFOmTJFO380mJCQE27Ztk1vm5eXFefQZTdIyFixYoHJ9YmIiEhMTNdonIzU1VaEmfMSIEXobs92Qsxm2/dsUHmq1mXZdFRcXF+lweroMT8fcaAsKCjB37lzWNEIYtk2WJr81oRWen332WWOHwBtzvyHqw8CBA5X2P+NizJgxctfD2bNnA9BsFDVD8PLykmsGNn/+fE7bsTW52r9/v8JyZk4NfY4+pIrsqIFtta3UUPVWw8rKymhzCclSNTJchw4d8MEHH5hEM7XCwkLehnPlgyk8m+iTYAsFlmjx4sWCHn3IUvTv35/17caKFSsMVsttahcuIXQ01lXbz6jpJF9eXl4q5zggwvTBBx/otP2HH36I7777zuTPke7du+Pzzz+X/q2u6VlQUJBWw5IbqvmQg4MD6urqlG7TdmZ7prCmKj5myNqGhgYtI1XN29tb7VwKycnJ2LBhg9bHMPTvkJowGpbWMxoTwhe2C3JWVpYRIuFHVFQUa+c0sVjM63BygPILNNcaHmdnZ07Drb744osaxUXYqbqhbtmyBeHh4XrZNyGmZtCgQUqH9danjh07SiekVEXd+dR2ErXnnnsOgOoKEA8PD+mw5voQGRmJJUuWqEzTrVs3AP/EKdt0RyQSyfXfM+VrSvv27ZWu43Om7rZM+TvhAxUKiFK+vr4G6RDa2NioUIPu6+urcU2rLHd3d13DEoRRo0axLuf6piAwMBC7d+9WWF5cXCz39zvvvKN5cDI8PT3lhjFuO/6/tpO0EcMy9xuiqeLSpJJ52NOXSZMm6XX/XOn6G4yKisLq1avllolEIl4rbJTFOGzYMPz73/9GVFSUwkRppvCWcPr06QrfjSr6atajbJbmiRMnSu8ds2bN0suxLR3diYlSnp6eSE1N1ftxPDw8eHmIZya3Af7plGbunnjiCdblunZE5LuZmp2dHZ5++mnp35mZmQo1beZkwoQJBj8m3xPg6XN7wr+NGzfqbd9BQUF466239LZ/TejjtycWi3HgwAHej6NuHwkJCdKmpoauGGHr9xAcHCzXd6Jt/I6OjnKFU31dB5QN8JCcnCx9m8p2bEu57+sTb7/Ca9eucU7LNtkSsVwrVqzA2LFjdd7Pli1bALRe4C39ocUQhTljGDJkiN723aFDB52arcn+5qZNm8ZHSCZFIpFQ+14j4aOPkC79mX744Qedj9+Wk5MTOnbsKLcsJCRE7WAdhrq263uI8LZ5KoTRw9r2ozA1hvhtmPuzBW+FgnfeeQd79uxRmaahoQFZWVlGnQ2ZmB5bW1tea0lMrZOtofDdX8GQuF5on3rqKb3FYGNjo9CsiW+yv01txhZXhpn/RJ9++eUXTjN/G6OduCVQdo7ExMQYOBJ+JCQkYNWqVXLL2rdvj7i4OOnfCxcuVJgh3lAPZbJvnjUhe46rK4hZWVlJP48x71uaHtsUHox16X+lC2XfFde5Fkwdb08RjY2NWLp0KQ4fPow333wTTk5OcuvPnj2Lf/3rX/jrr780Gnee/MPQQ5IKmSlctAwtNDQUR44cMXYYWuGaX87OznqORJgM8WDItUlZp06dDD4BEhEeGxsbtbXhHTt25DxxJd90uYdYWVlh7969OjWRtLW1NcjQ0qZ6r1RXyczW0diYn+Wxxx7DlStXjHZ8vvBWKFiyZAm++OILlJSUoLy8HO+++y5CQ0MBAD/99BPWrl2LR48eITY2VuXcAkQ5SxmS1FQvUoRfs2bN4jSMn7my1DdahB+ffPKJ9Pwh/NP1mtS2YlTT482YMQOffPKJTjFwpem1iEt6f39/nD17VtuQqALISHgrFHTt2hWLFy/G6tWrsWnTJnz00UcYOXIkzp07h5MnT0IikeDtt99G//79+TokIazoYUsYnnnmGQQGBiIhIcHYoejM1dVV44cIIf9OVcUu5M9lqthGH2Iq3YgwPfvss/Dy8kJJSQnreq6Fiv3792t1fD7OUy8vL5w7d05v+zdF5l6BxWt3dxsbG7z00kv45JNPIBaL8fPPP6O8vBxhYWFYvnw5FQiIwSg7cX/77TcDR2I4QrxY+fr6apTeVD/jrl27aFjV/2euDwPGxPU7nTlzpp4jsRzaXmtiYmI4zesyfvx4Xpr96TohpqafUzZ9WlqaXvt5aUo2tsWLF7OmmTdvnl6O3bbTvFDxfherq6tDYWEh6urq0NLSgpaWFly5cgWXLl3i+1DEDLm4uOh1SnOJRKK3fRubqT4wq5OSkgIfHx9jh2EQsnlED89EE1zOb02brBD+RUREKJ0/ho2xrtvM9cfLywseHh4ab8d49913eY1LF/Hx8dL/R0dHK6yfPn06Ro4cqdMxlOWXkAf6kMVroeDPP//E1KlTUVRUhB49emDZsmVISEhATU0N5syZg//85z9obGzk85DEzGzduhVDhw7VaR8jR46Ev78/TxGZvueffx6A4W8uL7/8Mi/7SUtLg6enJy/74otQC1iGour7oe+O6NuuXbv0fgxD/46Ndd7MmTMHb775plbbWllZqR04RrYfpCaFD20ws0rLsra2lnZaHj9+vMrtX331Vb3EJSS8FQq+//57zJ49Gzdu3MDzzz+PL774Ar6+vpgwYQIyMjLQsWNHbNu2Dampqbh48SJfhyVmxtHRUedmGLNmzUJkZCRPEZk+ZhhNQ99UtL2RsOE6+IChatepFl979N3xg8vwr4Blft+GmP3X3Au3spOX6dKESNncJabw/RUWFuLxxx/n3Gn5tddeU5tG2flmCp+XD7y978jPz0eHDh2QmpqKkJAQuXXBwcH46quvsGLFChQVFSEtLQ35+fl8Hdpi0JCkhE1sbCz69Olj7DB0YoibPCFC0ra9uZAf/hcuXGjsEEyeqT9Ubt++XaP0bWdMDgsLQ1VVFe9xqaKPOVNMPZ90xVuhYMCAAazzEzAcHByQlpaGPn36YMWKFXwd1qJYypCkhBibuV/4ienjWggwxZlv24qNjTV2CBoz52tA3759NX6WYOtI2/Y36u7ujuvXr7Nuby7fp+znWLBgAT766CMjRsM/3poPvf/++5w6OUVHR+Orr77i67CEkDb++9//GjsEYsE6depk7BDMUtuHKuZvc3sosVTK8lcfsrKyIBaLOacvLCzklI5pydClSxet4hIa2dm3zYVRxtAzl6GbCDElzE1Ek4s9YWeIphpCbg6iiuwIIET/aMQh/TCXmm0+cG2G4+Pjo7L9vqGuefpsUdF2BMO9e/fq7VjGwFvzoT///FOj9L179+br0IQQ0E1MCCxh6FWuHWSJato8QHXp0gX9+vXD77//rrDOHK8P/fv313ryLnUsZfQhTbm7u6N37944fvy4Qsxff/01srKysGPHDjz11FNyE5t5enri4cOHuHHjhl7je/vtt5VOqKatw4cPSwcvefPNN1FaWipdZ26Fct4KBenp6Rr9qLds2cLXoQkhANq1a2fsEMyGvm7Qr7/+OlxdXfHFF1/oZf/EsoWGhuLrr7+2mNHXnn76ab0VCgxt9OjRWLlypbHDUGvAgAEYMGAA629M9ro5bdo0/PDDD9Jl8+fPx4EDBzBt2jS9xvfSSy/pdf+6ThZn6ngrFMTExLDeSFtaWnDjxg2cO3cOdXV16Nu3r9mVrAyFRh8iqlhCJ3RzaHKTnJyML774Ai0tLZg5c6YgR2Yxh3wQkj59+igU+oVSsyxUhv5+X3vtNUEUCmRpch2wtrY2i1nfzf3ax1uhQN2sdrW1tfjqq69w6dIlqiXTEo0+RIh5OnDggLFDICbEyclJrkYyODgYwcHBOu2TChHEEGxtbeVm9/Xw8MC9e/eMGBHRhMHmZZZIJEhNTcWUKVPw/fff46233tJ6X/X19VizZg1KSkpQW1sLb29vJCQksE5r3VZFRQXWrFmDU6dOoaWlBT179sT48eMRFBSkddqysjKkp6ezHi8zMxOBgYG8xE6IpVq3bh2Sk5ONHYbeyN5EhUCTB0zqP6a5LVu2wNHR0dhhmDx9FnQMVYgy9cJaQUGBRuknTJiAxMRE6d8+Pj44f/48ANOrZe/Ro4c0Nq5MPb90ZdA7kb29PQICAnDw4EGdCgUZGRk4c+YMJk6cCC8vLxQVFSEzMxPNzc0YPHiw0u0qKiowc+ZMBAQESN9s5OfnY/bs2cjIyJB7eNckLWPChAkKE7e17ViobeyEWDJ/f38A5n9BNkfm0GTA0FxcXIwdAjGCJ598Uq4Tqylwd3fXKL1YLJYbAc9Srtnm8jkNfrWur6/X6VXS4cOHcfToUbzxxhuIi4tDaGgopk6divDwcOTk5KCpqUnptrm5uXB0dMS8efPQv39/9O/fHx9//DHEYjFWrVqldVpGly5dEBgYKPdP9uTQJXZCVHFxcVEYKo0QYhnUvVXQpRLOlIWHh2PmzJl62bcxHvKWLVtmdpWDQnxYXrdundo0mzdvNkAkhmfQQsHBgwdx4sQJnSa22L9/P8RiMQYMGCC3PDY2FjU1NaioqFC6bXl5OUJCQmBvby9d5uDggODgYJSXl6OmpkartIaInRBV5s+fj9TUVLz44ovGDsUsCPFGRixXUVGRyvXmOneJl5cXEhIS9LJvY10DhDSPE5fvyNSaDHHBvJlWxdvb2wCRGB5vzYeWLl2qdF19fT2qqqpQWVmJlpYWjBkzRuvjVFZWwtvbW2Fqd19fX+n6Xr16sW7b2NjIOpwUs+zixYvSSTo0ScvIzs7GokWLYGdnh8DAQCQlJcl1DtMldgCoq6tTuq5tjOY+bBaRZ2dnBwB45513jByJ9tLT05GRkWHsMAAYbvKy8PBwvR+HECIcM2bMQF5enrHD4ITLdVI2jTkPmy3Ewg8b3goFu3fvVpvG3d0dKSkpGDJkiNbHqa2tRefOnRWWM00namtrlW7brVs3nD59Gs3NzdJ2rk1NTdIaetltNUnr4OCA0aNHo3fv3nB2dsbVq1exceNGpKenY+7cuYiIiNA5dgCYNGmSyvWMlJQUjBs3jlNaQkzF888/r7ZQYC4XXgbb9UDfVFXgEOHQtCZbiG+/jHm+G+v7altpKHSy32NERAQmT56M//znP0aMiKjCW6Hg008/VbpOJBKhffv26NSpE1+H08rIkSOxbNkyZGdnIykpCc3NzVi7di2qq6sByHeI0yStn58f/Pz8pH8HBwcjKioKU6dORU5OjrRQoKucnBxOQ5LSWwJCdGOIBwJjPfA89dRTePTokcGOJ8SHUUJ8fX2RmZlp7DAET/b8t7KyQmRkJBUKTBhvhYK2o+7oi0QiYa1RZ5ap6mw5bNgw3LlzBxs2bJAOsxUYGIgxY8YgPz9frjmQJmnZODk5oU+fPigoKMDDhw9hZ2enU+xA6xsJmqeAEEKIub01MzX29vaIiYkx2vEff/xxk2lOSf5h7pUcwhocG62l9+LiYjQ1Ncm9ZqusrASgOARoWwkJCYiPj0dVVRXEYjE8PDywfPly2NvbK3Qu0SQtG+aizfyIdI2dEEII0VRLS4vZP8yYGzc3NwwfPtzYYZD/1759e9y6dcvszyPBDSAdFRWF+vp6hbF8d+/eDTc3NwQEBKjdh0gkgo+PDzw8PFBdXY2SkhIMHz5c2llT27Sy7t27h0OHDqFHjx7SzjV8xE6IuUtLS0Pfvn2NHQZRgWqpjU/Vw8nhw4cNGAmxRK+++iq6d++uNp0pP0SzxdavXz/WtMzcIab8efig9ZuCyZMna31QKysrrFy5UqttIyMjER4ejqysLNTV1cHT0xPFxcU4cuQI0tLSpDXwZWVlmD17NpKTk5GSkgKgtUa+tLQU/v7+EIlEuHDhAvLy8uDp6Ynx48fLHUeTtJmZmXB3d0fPnj3h7OyMqqoqbNq0Cbdv38b06dM1jp0QS5aSkoKwsDBMmDDB2KEQHlABgmjLEvrHxcbG4vvvvzd2GBp77bXXOKUz5YdotmvT119/bYRITIfWhQKmw60xpKenY/Xq1cjNzUVtbS28vb0xY8YMREdHy6Vrbm6Wy3RbW1scO3YM27ZtQ319Pdzd3REXF4eEhAS5+Qg0Tevr64uSkhJs374d9fX1kEgkCAoKQmpqqkLtP9fYCSHEVJnyjZ4oEmLzob1796qdlM0cTJ06VZCFgrYsvVO20M4vZbQuFGzdupXPODQiFosxZcoUTJkyRWmakJAQbNu2TW6Zl5cXFi5cyOkYmqRNTExEYmIip7RcYlcmNTVVbtQjABgxYgRGjBih8b4IMWXKapep1pkf5nIDI+bLycnJ2CEQDXh6eho7BMIDwXU0tmSLFy+m0YcIMRNCrL0lpoN+O+Zr7969xg5Bb4T+u1UVv6urK27fvm3AaPindUfjDz/8EPn5+azr6urq0NDQoHVQhBDCRug3FEKMgQqgwmJOb0nM7Xen6vM4OzsbMBL90LpQUFZWhitXrrCuS0lJQXZ2ttZBEUKIMZnz5GXEsqSlpRk7BEKkhFxIeOGFFwQdPxd6GZK0paWFbniEEI3Fx8cDMP4DsyGOb+zPSCwDM/oeIZaMr2F6qVBACCEG8tFHHxk7BEIEQZOHEyqAEkK4oEIBIYS0Ye61QYQQYgijRo2S+9sUr61sb9P27NmDTz75xAjRGBeNPiQgNCQpsTQdOnTAzZs3pX+bU41np06djB2CXh0+fBiRkZHw8vIydiiEECMJDAw0dghqpaWlYe3atXLLnJ2dMXToUDz++ONGiso4qFAgIDQkKbE00dHR2LRpk8GPa4jCh4uLi1kVcpSZP3++sUOweKZYO0uItrSZ54lNfHw8vvzyS6XrRSKRtPKme/fu6NSpk9JzqVOnTvDz88OlS5d4ic1YdCoU7NmzB3v27FFYbmVlpXQdY8uWLbocmhBiAagQLHxt324SflhinwJVzxTENOnjGs5XocDHx4dzWmbG5qqqKtb1ycnJSE5OxqNHj3iJzVh0KhSYy4WGEGKa3n77bcTGxhr8uFSzSojpMYdx4M2VsudBOzs7A0fCXb9+/ZTOt6WMunuDra2wG+BoHf3WrVv5jIMQQhSIRCKEhIQYOwxCBI8KusQUmMLvsEuXLqiqqoJIJNLobQFgGvHrE73XJYQQA+vRowdcXV2NHQYRMFdXVyxatMjYYRBiUUz5zQcfhP2egxBiliQSiVk/NG/YsAEAcO/ePSNHQoTK1tYWQ4YMMXYYhAAw/xp0Rvv27XmbCM0UUaFAQGhIUmIpfHx8sGvXLrllb7/9Nnr16mWkiAgRFk9PT1y9elX6t6U8tBGiDvWHVY4KBQJCQ5ISS/bSSy8ZOwSzQQ+I5k/2wYceggghXFCfAkIIaYMemgkhhH90bTVtVCgghJA2qGaVCF3bhy9zexgzp3bd5vBZLPmaWVRUZOwQeEOFAkIIIcSMCf2BbdSoUcYOgfDEFAqnfJ8Pjo6OvO7PmKhQQAghbZjCjYsQ0mru3LnGDoHwhK6tpo0KBYQQYiR0gyT60rY2lH5rRJ+4/r6CgoKwefNmPUejWrt27Yx6fFNGow8JCA1JSgghRFNCbz5EzIeNjQ28vb2NGoO3tze8vLyMGoOpokKBgNCQpIQQQgghurG3tzd2CCZJsIWC+vp6rFmzBiUlJaitrYW3tzcSEhIQHR2tdtuKigqsWbMGp06dQktLC3r27Inx48cjKChI67THjh3D3r17UV5ejhs3bsDR0RE9e/ZEcnIy/P39penKysqQnp7OGldmZiYCAwM1/CaIKlx+D4QQQgjRHr2NMg+CLRRkZGTgzJkzmDhxIry8vFBUVITMzEw0Nzdj8ODBSrerqKjAzJkzERAQgHfffRcAkJ+fj9mzZyMjI0PuoVyTtAUFBaitrcXo0aPRtWtX3L17F5s2bcJ7772H+fPnIywsTC6OCRMmICQkRG6Zj4+Prl8LaWPx4sXGDoEQQoyKHtgIUW3QoEHGDsEkCLJQcPjwYRw9ehTvvfeeNCNDQ0NRXV2NnJwcDBw4EDY2Nqzb5ubmwtHREfPmzZO+PgoLC8Orr76KVatWYdGiRVqlff311+Hq6ip3rIiICEyZMgU//fSTQqGgS5cu9FaAEEIIIcSARowYofCM+K9//ctI0ZgWQY4+tH//fojFYgwYMEBueWxsLGpqalBRUaF02/LycoSEhMi1J3NwcEBwcDDKy8tRU1OjVdq2BQIAEIvF6NatG27cuKHV5ySEEEL4QKMPEdLq6aefRmxsrLHDMEmCLBRUVlbC29tboaTn6+srXa9MY2MjRCKRwnJm2cWLF7VKy+b+/fs4d+4cunXrprAuOzsb8fHxGDt2LObMmYMTJ06o3BcA1NXVcfrX2Niodl+EEELM13PPPWfsEIgFUVXozMnJMWAkRBeCbD5UW1uLzp07KyyXSCTS9cp069YNp0+fRnNzs3R4z6amJunbBdltNUnLJjs7Gw8ePMDYsWOlyxwcHDB69Gj07t0bzs7OuHr1KjZu3Ij09HTMnTsXERERSvc3adIklcdjpKSkYNy4cZzSEkKIppgHAC8vL/z1119Gjoaw6dOnD7KzswEA8fHxiIqKMnJExFK17T9JTJcgCwW6GDlyJJYtW4bs7GwkJSWhubkZa9euRXV1NQDIzQOgSdq21qxZg7179+K1116TG33Iz88Pfn5+0r+Dg4MRFRWFqVOnIicnR2WhICcnh9OQpGxvNwghhKFrUxKm4+qWLVsQGRnJR0hEj9q3b4/27dsbOwxixqgzu3kQZKFAIpGw1tIzy5g3BmyGDRuGO3fuYMOGDSgoKAAABAYGYsyYMcjPz4ebm5tWaWWtXbsW69evx4svvoiRI0eq/TxOTk7o06cPCgoK8PDhQ9jZ2bGmc3BwoHkKCCGEqEV9CAghmhJkocDX1xfFxcVoamqS61fA9CVQN7RnQkIC4uPjUVVVBbFYDA8PDyxfvhz29vZytfqapgVaCwQ//vgjxo0bJ9dsSB2mlE0XckIIIYQQYmiC7GgcFRWF+vp6lJaWyi3fvXs33NzcEBAQoHYfIpEIPj4+8PDwQHV1NUpKSjB8+HDWWnquadetW4cff/wRSUlJSElJ4fx57t27h0OHDqFHjx5o164d5+0IIcJGr9wJIeZq2bJlxg6BaEiQbwoiIyMRHh6OrKws1NXVwdPTE8XFxThy5AjS0tKkbw/Kysowe/ZsJCcnSx/SKysrUVpaCn9/f4hEIly4cAF5eXnw9PTE+PHj5Y6jSdpNmzYhNzcXERERiIyMxKlTp+TWM3MSZGZmwt3dHT179oSzszOqqqqwadMm3L59G9OnT9fXV0YIIYQQYjBPPvmksUMgGhJkoQAA0tPTsXr1auTm5qK2thbe3t6YMWMGoqOj5dI1NzfL1cbZ2tri2LFj2LZtG+rr6+Hu7o64uDgkJCTIzUegadqDBw8CAI4cOYIjR44oxLtt2zYArU2fSkpKsH37dtTX10MikSAoKAipqamc3nAQQvRvwIABWLVqlbHDEKxnn33W2CEQQgyImj6bB8EWCsRiMaZMmYIpU6YoTRMSEiJ9GGd4eXlh4cKFnI6hSdrPPvuMU7rExEQkJiZySttWamqqwohHI0aMwIgRI7TaHyGEnZOTE0JDQ40dhmB9/PHHxg6BEEKIhgRbKLBEixcvptGHCCGEEGJSqH+UeRBkR2NCCCGEKEfz1RBCNEWFAkIIMRKhtsPlGvf27dv1HAlRJjAwEHv27DF2GIQQAaFCASGEEK3t2rVL6bqOHTsaMBIiy8rKCs7OzsYOgxAiIFQoIIQQohHZ9sOurq5GjIQQQghfqFBACCGEEEK0JtSmkEQejT4kIDQkKSGEEEJMDY0+ZB6oUCAgNCQpIYQQQgjRB2o+RAghFsbKygqFhYXGDoMQQogJoUIBIYRYIDc3N2OHQAghxIRQoYAQQgghhBALR4UCQgghOomJiTF2CIQQQnREhQJCCCGEEEIsHI0+JCA0JCkhxBS0HZO8e/fu+O2334wUDSGEED5QoUBAaEhSQogpevPNN/Hrr7/i77//NnYohBBCtETNhwghhGhE2URF48aNM3AkhBBC+EKFAkIIITqzsrKCvb29scMghBCiJSoUEEII0Ujbvk2EEEKEj67shBBCNOLk5ISOHTsqLG/bAZkQYhno3DcP1NGYEEKIxpycnIwdAiHEBPz6669wd3c3dhiEB1QoEBAakpQQ8+Lg4IC8vDxjh8EbZR2QCSHmy8PDw9ghEJ5QoUBAaEhSQsyLlZUVfH19jR2GxiZNmoSkpCRjh2O5tcEAACAASURBVEEIIYRHgiwU1NfXY82aNSgpKUFtbS28vb2RkJCA6OhotdtWVFRgzZo1OHXqFFpaWtCzZ0+MHz8eQUFBOqXlGpMusRNCiClwdXWFq6urscMghBDCI0EWCjIyMnDmzBlMnDgRXl5eKCoqQmZmJpqbmzF48GCl21VUVGDmzJkICAjAu+++CwDIz8/H7NmzkZGRgcDAQK3SahKTtrETQgghhBCiL4IrFBw+fBhHjx7Fe++9h0GDBgEAQkNDUV1djZycHAwcOBA2Njas2+bm5sLR0RHz5s2TjqcdFhaGV199FatWrcKiRYu0Sss1Jl1iJ4QQQgghRF8ENyTp/v37IRaLMWDAALnlsbGxqKmpQUVFhdJty8vLERISIjfBjoODA4KDg1FeXo6amhqt0nKNSZfYCSHE1FFHY0IIES7BFQoqKyvh7e2tUKPOdNarrKxUum1jYyNEIpHCcmbZxYsXtUrLNSZdYgeAuro6Tv8aGxtV7ocQQvhG45QTQoiwCa75UG1tLTp37qywXCKRSNcr061bN5w+fRrNzc3SoT2bmpqkNfSy22qSlmtMusQOtI74wUVKSgrGjRvHKS0hhBBCCCGCKxToYuTIkVi2bBmys7ORlJSE5uZmrF27FtXV1QAgNweAJmkNJScnh9OQpGxvOAghhBBCCFFGcIUCiUTCWqPOLGNq3dkMGzYMd+7cwYYNG1BQUAAACAwMxJgxY5Cfnw83Nzet0nKNSZfYgdY+DTRPASGEEEII4ZvgCgW+vr4oLi5GU1OTXNt8pj2+j4+Pyu0TEhIQHx+PqqoqiMVieHh4YPny5bC3t4e/v79WabnGpGvshBBCCCGE6IPgOhpHRUWhvr4epaWlcst3794NNzc3BAQEqN2HSCSCj48PPDw8UF1djZKSEgwfPhx2dnZapeUaEx+xE0KIKaKOxoQQImyCe1MQGRmJ8PBwZGVloa6uDp6eniguLsaRI0eQlpYmrYEvKyvD7NmzkZycjJSUFACtNfKlpaXw9/eHSCTChQsXkJeXB09PT4wfP17uOJqk5RoT13SEEEIIIYQYkuAKBQCQnp6O1atXIzc3F7W1tfD29saMGTMQHR0tl665uVlu3GxbW1scO3YM27ZtQ319Pdzd3REXF4eEhAS5+Qg0TatJTFzTEUIIIYQQYihWLTTbjMmrq6tDUlISvLy8FEY9GjFiBEaMGGGkyAghpFV8fDyGDx+Ot956y9ihEEIIkcE8R65fv17lgDWCfFNgqRYvXkyjDxFCTBbVMRFCiHAJrqMxIYQQQgghhF9UKCCEEEIIIcTCUaGAEEIIIYQQC0eFAkIIIYQQQiwcFQoIIYTwgjoaE0KIcNHoQwKSmppKQ5ISQkwSzWhMCCHCRoUCAaEhSQkhhBBCiD5Q8yFCCCGEEEIsHBUKCCGE8IL6FBBCiHBRoYAQQgghhBALR4UCQgghOqOOxoQQImxUKCCEEEIIIcTC0ehDAkJDkhJCCCGEEH2gQoGA0JCkhBBTJZFIYG9vb+wwCCGEaIkKBYQQQnSWnZ0NkUhk7DAIIYRoiQoFhBBCdEZvMQkhRNioozEhhBBCCCEWjgoFxGAaGxvx448/orGx0dihEI4oz4SH8kx4KM+Eh/JMeCjP1KNCATGYxsZGrF27lk5IAaE8Ex7KM+GhPBMeyjPhoTxTj/oUCAgNSUoIIYQQQvSBCgUCQkOSEkIIIYQQfRBsoaC+vh5r1qxBSUkJamtr4e3tjYSEBERHR6vdtqKiAmvWrMGpU6fQ0tKCnj17Yvz48QgKClJIe+7cOaxduxZnzpzBvXv34O7ujkGDBmHMmDFyY3J/+eWX2LNnj9JjZmZmIjAwEGVlZUhPT1eZhhBCCCGEEEMSbJ+CjIwM7N69G8nJyZg3bx569uyJzMxM7N27V+V2FRUVmDlzJhoaGvDuu+8iNTUVDQ0NmD17Nk6dOiWX9tKlS3j//fdRXV2NyZMnY86cOYiOjsa6devwxRdfyKVNTk5GZmamwj9nZ2d06NABPXv2lEs/YcIEhbQ+Pj4afw+//PKLxtsYc7/6ILTvQGj71QehfQdC26++6CNeoX23lGfC+24pz4T33VKe6Xe/ygiyUHD48GEcPXoUb7zxBuLi4hAaGoqpU6ciPDwcOTk5aGpqUrptbm4uHB0dMW/ePPTv3x/9+/fHxx9/DLFYjFWrVsmlLSoqQkNDA2bNmoWBAwciLCwM48aNw7Bhw/D777/j3r170rSenp4IDAyU+9fY2Ii7d+8iNjYWNjY2cvvu0qWLQnqxWKzxd2EuP0RdCO07ENp+9UFo34HQ9qsv9LBCeaavfQpxv/pCeUZ5pu/9KiPIQsH+/fshFosxYMAAueWxsbGoqalBRUWF0m3Ly8sREhIi1/THwcEBwcHBKC8vR01NjXS5ra2tdL0sJycnWFtbS9crs3PnTlhZWSE2NpbzZyOEEEIIIcTQBFkoqKyshLe3t0Ltu6+vr3S9Mo2NjRCJRArLmWUXL16ULhsyZAgcHR2xYsUK/P3336irq8PBgwexfft2PPvss3IFi7bu37+Pffv2ISwsDJ07d1ZYn52djfj4eIwdOxZz5szBiRMnVH1kAEBdXZ3Cv+bmZoVlNNwWIYQQQgjRhCA7GtfW1rI+aEskEul6Zbp164bTp0+jublZOrxnU1OT9O2C7LadOnVCZmYmMjIy8Oqrr0qXjxo1Su5vNsXFxWhoaMCwYcPkljs4OGD06NHo3bs3nJ2dcfXqVWzcuBHp6emYO3cuIiIilO5z0qRJrMuTkpLk/k5JScG4ceNUxkcIIYQQQghDkIUCXYwcORLLli1DdnY2kpKS0NzcjLVr16K6uhoA5OYBuHbtGhYsWABXV1fMnDkTLi4uqKiowPr16/HgwQNMmzZN6XEKCwshkUjQv39/ueV+fn7w8/OT/h0cHIyoqChMnToVOTk5rIWClpYWAEBWVpZCv4P09HRkZGTILROJRKirq+P4jbBj3kDwidkf3/vVR6y031aUZ8Lbr77yDNBPvEL6bvW1X8oz4e2X8kx4+xVanvG5X2YfzPOkMlYt6lKYoPfeew/Nzc1YvHix3PLKykq8/fbbeOutt/DMM88o3T4vLw8bNmxAfX09ACAwMBDBwcHIz8/HwoULERwcDABYtGgRysrKsHLlSrmmQrt27cLSpUuRkZGBkJAQhf1fuHAB06ZNw+jRo9W+UWBkZWWhoKAAeXl5sLOzk1t348YNpW8JCCGEEEIIUScnJwcdO3ZUul6Qbwp8fX1RXFyMpqYmuX4FTF8CdUN7JiQkID4+HlVVVRCLxfDw8MDy5cthb28Pf39/abrz58+ja9euCn0HmOFFL126xFoo2LlzJwBg+PDhnD8TUzazsrJSWOfm5oacnByIxWLW9YQQQgghhLBpaWlBfX093NzcVKYTZKEgKioKO3bsQGlpKQYOHChdvnv3bri5uSEgIEDtPkQikbTwUF1djZKSEgwfPlyulr5Dhw6orKxEfX29XLMdZj6DDh06KOy3sbERe/fuRUBAAOd5B+7du4dDhw6hR48eaNeuncJ6a2trlSU7QgghhBBClHF0dFSbRpCFgsjISISHhyMrKwt1dXXw9PREcXExjhw5grS0NOnbg7KyMsyePRvJyclISUkB0Po2obS0FP7+/hCJRLhw4QLy8vLg6emJ8ePHyx1n9OjR+PTTT/HRRx8hPj4ezs7OOH36NPLy8tC1a1c88cQTCrEdOHAAtbW1mDhxImvsmZmZcHd3R8+ePeHs7Iyqqips2rQJt2/fxvTp03n+pgghhBBCCFFPkIUCoLWD7erVq5Gbm4va2lp4e3tjxowZiI6OlkvX3Nws17HC1tYWx44dw7Zt21BfXw93d3fExcUhISFBoZlQv3798MknnyAvLw8rV67E/fv34e7ujqeffhqJiYmsQ5sWFhbC3t5e7g2GLF9fX5SUlGD79u2or6+HRCJBUFAQUlNTOb3hIIQQQgghhG+C7GhMCCGEEEII4Y9g3xQQw6irq8P69etx/vx5nD9/Hnfv3mWdB+H8+fNYvXo1Ll68iLt376Jdu3bw8vLCiBEjEBMTI5e2rKwM6enprMfLzMxEYGCgRumIPH3kGePEiRP46aefcOrUKTQ2NqJDhw4YMmQIkpOTpWnq6+uxZs0alJSUSN/iJSQkKLzFI/8wZp7ReaYdfeTZl19+iT179ig9pmx+0HmmOWPmGZ1n2tHXtfHcuXNYu3Ytzpw5g3v37sHd3R2DBg3CmDFj5FqNWNp5RoUColJtbS127NgBX19fREVFobCwkDXd/fv30bFjR0RHR6NDhw548OABioqKsHjxYlRXVytMsAYAEyZMUBi9ia1zNtd0pJW+8mzv3r348ssvMWDAAKSmpsLe3h5Xr15FTU2NXLqMjAycOXMGEydOhJeXF4qKipCZmYnm5mYMHjxYXx9b0IydZwCdZ5rSR54lJycjLi5OYR8LFiyASCSSjnwH0HmmDWPnGUDnmab0kWeXLl3C+++/Dy8vL0yePBnOzs44ceIE1q1bh3PnzmH27NnStJZ2nlGhgKjk4eGBtWvXwsrKCnfu3FF6QoaEhChc6Pr27Ytr165h+/btrIWCLl26cKod4ZqOtNJHnt28eRNff/01nn76abz55pvS5aGhoXLbHz58GEePHsV7772HQYMGSdNUV1cjJycHAwcOlBtGmLQyZp4x6DzTjD7yzNPTE56ennJpy8rKcPfuXSQlJUnPHTrPtGPMPGPQeaYZfeRZUVERGhoaMGvWLGnehYWFoaamBjt27MC9e/fg5ORkkeeZtfokxJJZWVnpNDeCRCIxu5PG1OkjzwoLC/HgwQMkJCSo3Hb//v0Qi8UYMGCA3PLY2FjU1NSgoqJC67jMmTHzjGjHUNfGnTt3wsrKCrGxsdJldJ5px5h5RrSjjzyztW2tD3dwcJBb7uTkBGtra+l6SzzP6E0B4RUz2tO9e/dQUlKCP/74A6+99hpr2uzsbCxatAh2dnYIDAxEUlKSdDZpbdIR7XDJsz///BMSiQRXrlzBJ598gsrKSkgkEvTv3x+TJk2SXlwrKyvh7e2tcBH29fWVru/Vq5dBPpc54zPPGHSe6Zcm10bG/fv3sW/fPoSFhaFz587S5XSeGQafecag80y/uOTZkCFDsGXLFqxYsQIvvfQSnJ2d8eeff2L79u149tlnpX0KLPE8o0IB4dWKFSuwfft2AK2l8SlTpii0t3RwcMDo0aPRu3dvODs74+rVq9i4cSPS09Mxd+5cREREaJSO6IZLnt28eRMPHz7EwoULkZiYiFdffRVnzpxBbm4uKisr8fnnn8PKygq1tbWsN0KJRAKgtX0o0R2feUbnmWFwybO2iouL0dDQgGHDhsktp/PMMPjMMzrPDINLnnXq1AmZmZnIyMjAq6++Kl0+atQoub8t8TyjQgHhVWJiIoYPH447d+7g4MGD+Oabb/DgwQM8//zz0jR+fn7w8/OT/h0cHIyoqChMnToVOTk50osj13REN1zyrKWlBQ0NDZgwYQISExMBtLbhtLW1xcqVK3Hs2DGEh4cb6yNYHD7zjM4zw+CSZ20VFhZK3+4Qw+Mzz+g8MwwueXbt2jUsWLAArq6umDlzJlxcXFBRUYH169fjwYMHmDZtmhE/gXFRoYDwysPDAx4eHgBaZ54GgB9++AFDhw6Fi4uL0u2cnJzQp08fFBQU4OHDh7Czs9MpHeGOS54xNSNtb1xPPPEEVq5ciXPnziE8PBwSiYS19oRZxuyH6IbPPGND5xn/NL02XrhwAWfPnsXo0aMVJsqk88ww+MwzNnSe8Y9Lnn3//feor6/HsmXLpE2FmDc4S5cuRUxMDEJCQizyPKOOxkSvAgIC0NTUhL///lttWmYePXWdirimI9phyzOmDWVbbfPC19cXV65cQVNTk1y6yspKADT0nr7okmfK0HmmX+qujTt37gQADB8+XGEdnWfGoUueKUPnmX6x5dn58+fRtWtXufkIAEiHj7106RIAyzzPqFBA9Or48eOwtrZmbZcn6969ezh06BB69OiBdu3a6ZyOaI8tz5588kkAwP/+7//KpT18+DAA4LHHHgMAREVFob6+HqWlpXLpdu/eDTc3NwQEBOgzdIulS56xofNM/1RdGxsbG7F3714EBASwPnjQeWYcuuQZGzrP9I8tzzp06IBLly6hvr5eLu2pU6ek6wHLPM+o+RBR6/Dhw3j48KH0BLp06RL27dsHoLUpgr29PZYvXw6xWIyAgAC4urri7t272LdvH/773//i+eefl3vVmpmZCXd3d/Ts2RPOzs6oqqrCpk2bcPv2bUyfPl3jdEQR33kWERGBvn37Yt26dWhpacFjjz2GM2fOYN26dejTp4909IzIyEiEh4cjKysLdXV18PT0RHFxMY4cOYK0tDQanlYFY+UZnWfa4zvPGAcOHEBtbS0mTpzIelw6z7RnrDyj80x7fOfZ6NGj8emnn+Kjjz5CfHw8nJ2dcfr0aeTl5aFr16544oknAFjmeWbVwry7IkSJV155BdXV1azr/vOf/6BTp07YtWsXdu3ahcuXL+P+/fuwt7dH9+7dMXz4cIUpxn/66SeUlJTg2rVrqK+vh0QiQVBQEBISEuRK3lzTEUV85xkAPHz4EGvXrkVRURFu3boFNzc3DB48GCkpKXLtZ+vr67F69Wq5aeETExPNdlp4vhgrz+g8054+8gwAPvroI5w6dQrff/+9wtCxDDrPtGOsPKPzTHv6yLPjx48jLy8PFy9exP379+Hu7o4+ffogMTERzs7O0nSWdp5RoYAQQgghhBALR30KCCGEEEIIsXBUKCCEEEIIIcTCUaGAEEIIIYQQC0eFAkIIIYQQQiwcFQoIIYQQQgixcFQoIIQQQgghxMJRoYAQQgghhBALRzMaE0KMatSoURql9/DwwLfffotr165h8uTJ6N27Nz777DM9RWc6Ll++jN9//x1//PEHqqqqcPv2bTg5OaFXr16Ij4+XzlCszp9//on09HS0tLTgmWeewVtvvaWQZtasWfjzzz+V7mPevHnSWT8ZXPIxNDQUn376qcLy8vJyrF+/HqdPn8ajR4/QtWtXjBgxAkOHDlW6rxs3biA3NxdHjhxBbW0t3N3dMXDgQIwdOxbt2rVj3aahoQE//fQTiouLcf36dUgkEkREROCFF15Ax44d1cbP2LVrF5YuXSr929HREevWrZNLw/Z92NrawtXVFcHBwUhISICvr690nbrvnA0zcRMzuRPzN6PtpE/W1tZwcHCAi4sL/Pz8EBERgYEDByr9vrTFHHfbtm287pdP9+7dQ0pKityyjIwMhISEGCkiQoyPCgWEEKMaMmSIwrLy8nJcvXoV3bt3R/fu3eXWyc42aUk++ugj3Lx5Ew4ODggICEBgYCAuX76M/fv348CBA3jllVcQHx+vch+NjY1Yvnw552M++eSTsLe3V1jeoUMHhWVs+cg4fPgw7t69i6CgIIV1+/fvx8KFC9HS0oLg4GA4Ozvj2LFjWLJkCS5cuIDJkycrbHP16lXMmDEDd+7cgY+PD4KCgnD27FmsX78ex44dQ0ZGhtws20BrgWD27NkoLy+Hm5sb+vXrh+rqauzatQuHDh1CZmYmPD09uXwtUszv087OTmka2e+lrq4OZ8+eRVFREfbt24f58+cjNDQUABAREQEPDw+Fz1leXg5XV1dEREQo7Jstb9jI5mNdXR2uXbuGkpISFBcX47vvvsM777yDyMhITvsyF7a2ttK8Ya43hFg6KhQQQozq3XffVVj25Zdf4urVq4iKisK4ceNYt+vQoQOysrJUPpCZk65du2LSpEl48skn5R54CwoKkJWVhVWrVuHxxx9Ht27dlO5j/fr1qKqqwrBhw1BYWKj2mC+//LJczbMqbPkItNbI/ve//wUAxMTEKKxbunQpmpubMWvWLDz55JMAgFu3buGDDz7Ali1b0LdvX+mDM2Pp0qW4c+cORo0ahSlTpgAAmpqa8Pnnn2P//v3YsGEDXnjhBbltNmzYgPLycgQGBuLjjz+GWCwGAGzevBnffvstli5dioULF3L6rAxVv09G2+/l0aNHWLZsGX777TesXLkSX331FQAgMTFRYdtdu3ahvLwc3t7eSr9fLtjy8datW1i/fj1++eUXLFiwAHPmzFF4+2PO7O3tpd8pc70hxNJRnwJCiCDZ2tqia9euCrWr5mrBggUYNGiQQg14XFwcHn/8cTQ3N2Pfvn1Kt7906RLy8/MxbNgw9OrVS9/hSu3btw+NjY147LHH0KVLF7l1hYWFuH//Pvr16yctEABA+/btMWnSJACtD+2yKioqcOLECbi6ukrTAICNjQ3eeOMN2Nra4ueff8ajR4+k6x49eoSff/4ZAPD6669LCwQA8Nxzz8HX1xcnTpzA2bNn+fvgStja2koLEhcvXsS9e/f0fkw27du3x+uvv47x48ejubkZS5cuRWNjo1FiIYSYBnpTQAgRJGV9Cpj23ikpKYiJicH333+P48eP49GjR+jVqxdeeeUVdOvWDU1NTcjPz8fu3btx/fp1dOzYEfHx8RgxYoTS4/3000/4448/UFNTAwcHB/Tu3RvJyckKTZwMrXv37vjjjz9w8+ZN1vUtLS1Yvnw5HB0d8dJLL+H33383WGy//fYbAMW3BABw8OBBAMBTTz2lsC4yMhLt2rXDsWPH0NDQIG33fujQIQBAnz59FApI7du3R1BQEI4fP47y8nJp+/CTJ0/i/v378PT0hJ+fn8KxnnrqKVy8eBEHDx6Ev7+/Dp+WG1dXV+n/m5qa9H48VRISElBYWIjq6mqUlJSw5hObpqYmbNy4ETt37sSNGzfg5uaGwYMHIykpiTV9S0sLiouL8fvvv+PcuXO4efMmrK2t4e3tjaFDhyIuLg7W1v/UU65YsQK//vor3n77bTz99NOs+5syZQqqq6uxcuVKaeXA5cuXsWHDBpw6dQo3b96EWCxGhw4dEBISgv/5n/+Bm5ubFt8SIZaB3hQQQszStWvXkJaWhnPnzqF3797o1KkTjhw5gvT0dNy6dQufffYZ8vLy0KlTJ4SEhOD69evIzs7Gjh07FPZ14sQJTJs2DTt27IC9vT369euHLl26YP/+/Xjvvfdw/PhxI3zCf/z9998AWh+K2fz6668oLy/Hyy+/DIlEwnm/O3fuRFZWFrKzs7F161a5TqtcVFdX4+TJk7C1tcXAgQMV1l+8eBEAWB/URSIRunXrhoaGBvz111/S5RcuXFC6jexyJp3s/3v06MF5G31i3kg4OzvDxcXFIMdUxsbGRlooKysr47xdZmYmfvjhB9y+fRsRERHw9fXF5s2bkZGRgZaWFoX0jY2N+OKLL/DHH3/AxcUFffv2RUBAAC5duoTs7Gy5jttA6xswAKznIwAcP34cf//9N8LDw6UFgrNnz2L69OkoKiqCi4sL+vfvj4CAADx69Ahbt26V+x0RQhTRmwJCiFnas2cPnnvuOUyaNAnW1tZoaWnB0qVLsXv3bnz44YewtrZGVlaWdNSZY8eOYfbs2diwYYNczWRdXR0+//xzNDQ0YObMmXK12kePHsX8+fOxePFirFy5UqHm2hCuXr0qrT3v16+fwvqbN2/ihx9+QGhoqMrOwGzWr18v93dOTg6SkpKQnJzMafuioiK0tLTgiSeeUOggXldXh/v37wOA0pF/OnbsiLNnz+L69evStzHXr19Xu41sOm230Yf79++joqIC33zzDQD2fgTGwBSWLl++zCk901G6c+fOWLhwobTj+d9//41Zs2bhxo0bCtvY2Nhg1qxZCm947ty5g3nz5mHPnj0YNmwYevfuDQDw9fVFr169UF5ejgsXLii8jWMKC7Ln6rZt29DQ0CDXP4Vx+fJlODo6cvp8hFgqelNACDFLnp6eeOmll6RNEqysrPDcc88BaH1AmDJlitxDYlhYGHr06IHq6mpcu3ZNunznzp24desWxowZo9DMJTw8HM8++yxu3rwpfTA3pKamJixZsgSNjY0YOHAga9OX7OxsNDQ04I033uC83+DgYKSmpmLlypXIy8tDdnY2XnzxRVhbWyM3Nxdbt27ltB9VTYfq6+ul/1fWWZwZMUc27YMHD1RuwyzXZhsmHZ9GjRol/ZecnIw5c+bg/v37eO+996S/R2NjCmxc+zcUFBQAAF544QW5kag6d+6stPmQjY2NQid5AHBxccHEiRMBQKFZ2zPPPAMACp3i7969iwMHDsDV1RV9+/aVLr9z5w4AKHRMB1o76lPTIUJUo0IBIcQs9e7dGzY2NnLLOnfuDKC1sydTIymLGZLy1q1b0mVHjx4F0DrSDBtmmM0zZ87oHrSGvvnmG5w8eRKdO3dmfegvLS3FgQMHkJCQAG9vb877HT9+PGJiYtC5c2fY2dnBy8sLY8eOxYcffggA+PHHH/Hw4UOV+zh79qy0dlb2wU0TbM1QmGVWVlYa70eTbfgyZMgQ6b/o6GgEBgbi7t27+O677zRqrqNPmnw/jx49wunTp2Ftbc3aFyQ6Olrl9ufPn0d+fj5WrFiBJUuW4Msvv8Svv/4KAKiqqpJLO2DAAEgkEvz2229yv7c9e/agsbERQ4cOha3tPw0emELxl19+iYqKCjQ3N6v9PISQf1DzIUKIWWIbS5+peW7fvr1cp0YGU2MsOwoL89YgLS1N5fHu3r2rNqYdO3bg5MmTcsucnZ3xyiuvqN22rbVr16KgoACurq6YP3++Ql+Buro6fPPNN+jSpQtvzVQiIiLg7++Ps2fP4vTp06w1soy9e/cCaH2wY2tWJTsC0MOHD+Hg4KCQhnkQlE3L/F9Zrb4u23Ad918TbEOJnjt3DrNmzcLcuXORlZUlLawaC/PbdXJyUpu2trYWjx49gpubG2u+Ojg4wNHRUdo0jNHY2IglS5aguLhY6b5l3+4AQLt27RATE4OtW7di37590uZvFbWcawAACMpJREFUhYWFsLKywvDhw+XSP//88zh58iQOHjyIgwcPwtHREQEBAejTpw+GDh3K+hsjhPyDCgWEELOkqtZTkxpjprbxqaeeUjknQkBAgNp9nTx5Env27JFb5uHhoXGh4JdffsGPP/4IR0dHzJ8/X2GoT6D1wbOmpgYeHh6YO3eu3DrmTcjBgwdx5coVeHp6Ytq0aZyO3aVLF5w9exY1NTVK0zQ1NUnnJhg8eDBrGtmHxxs3brDOr8C0TXd3d5cuc3d3x/nz51nbravaRnYdl230yc/PD8888ww2bdqEX375RatCIZ/Onz8PACrnuGCwvb3hYvPmzSguLoaPjw8mTZoEPz8/ODk5wdbWFn/99Rdef/111n3HxcVh69atKCwsxJAhQ1BeXo7Lly8jNDRU4Xfv4OCATz/9FCdPnsShQ4dQVlaGY8eO4Y8//kBeXh4WLlyo8QR1hFgSKhQQQogKHTt2xF9//YWkpCSdhx599913dZqECmitgf/mm29gZ2eHOXPmKB1Rh1FdXa101KCamhrU1NQo1OqqwrQ7l62Jb+vYsWPSAklwcLDSdMz8AOfOnVN4IH306BEuXboEkUgELy8v6fLu3btLh7Vkwyz39fWV2wb45+GXyzb6xkwmduXKFYMdk01TU5N0fgtmCFdVnJ2dYWtri9u3b6OxsVHhbYFsB3JZBw4cAADMmDEDPj4+cuuY0bPYeHt7IyQkBGVlZbhy5Yq0g3HbtwQMKysrBAcHS393d+7cwb///W8UFxfjhx9+wAcffKD2MxJiqahPASGEqBAWFgbgn4caYzp8+DCWLFkCGxsbpKenS/szsAkJCcG2bdtY/73zzjsAWjtybtu2DcuWLeN0/Dt37kibPykbEhT4p+nQ4MGDVb6V6dOnDwCwTrp26NAhNDQ0ICwsTDpHgew2hw4dUphs69atWzh58iQcHR3lvptevXrB0dERV69eZS1MMMdn9m0IzIOwPposaSIvLw/Xr19Hhw4dFEbsYWNra4uAgAA0NzejtLRUYT3zhqgtpjDJNgJUSUmJymMyHY43b96MkpISSCQSTrECrR2ZmcniKisrOW1DiKWiQgEhhKgQFxcHFxcX/PTTT9i1a5dCE4cHDx5gz549Spum8OXkyZPSSdref/99RERE6OU4p06dwvHjxxU+57Vr1/Dpp5/iwYMH6Nevn9LhPR88eCAtQClrOsQYPnw4HBwc8Pvvv8s9YN6+fRs5OTkAoDBCT0BAAHr16oXbt2/ju+++ky5vamrCihUr8OjRI4wcOVKuA6pI9H/t3V1Ik20cx/GvM7XypVxFMLilqJDWIKIXkBZkCSLlQUVNQ+gwiUgPIrDD6P0guSkKT4Io6Q1NghApCgLxPjBxEoxVOqEpTYOOQhvDdfCwPZmbLfOxR/f7HHly7Zo7uv/3/3dd/6z4ULqmpqZJZwva2toYHBzE6XSmFAGbDf39/fE33tu2bZuTPX/25csXmpqauHfvHjabjbq6upSv1I09pDc3N0+KkY2MjPDgwYOEa2JRn9jNRTGdnZ1TInU/KykpYdmyZXR0dPDt2zdKS0sTftf29vaEXYc3b94AcxcPE5mvFB8SEZlGXl4eZ8+e5fz585imyf379ykqKiIrK4vR0VGCwSDj4+OYppn0QXk2nDt3jnA4zOrVq7EsK2Hnwul0Jpz++juCwSCmaWK323E4HBQWFvL582f6+/sJh8MUFRVx8uTJpOsty2JsbIwNGzZgGMa0e+Xn53Pq1CmuXr3K5cuXcblcFBQU0Nvby9evX6msrIx3an5UX1/P6dOnefr0KX19fRiGwfv37/n06RPFxcUcOXJkyhqPx4PX68Xn83H8+HGcTiejo6P4/X7y8/Pj3ZPZ1tjYGP87EonE95yYmGDHjh0pTxBORbKuzO3btydd7xoKhRgcHGRiYoLCwkLq6+vZsmVLyvvs3r2brq4uurq6qK2tZfPmzUSjUbxeLy6Xi4yMjCkzHw4dOkRPTw937tyhs7MTh8PB8PAwHz584MCBAzx58iTpfllZWZSVldHS0gIkjw61t7dz8+ZNDMPAMAwyMzMZGhpiYGCA7OxsqqurU/4fRdKRigIRkV9wOp1cv36dtrY2uru76evrIzMzE7vdzvbt2ykpKfnlA/CfiuW0Q6HQpDkKP/vToqC4uJiKigrevXvHx48f8fl8LF68mLVr1+J2u6moqJj2wPWP0aFU7Ny5k0uXLvHw4UP8fj+RSATDMNi3bx9lZWUJ1zgcDkzTpLm5mZ6eHoLBIKtWrcLj8XD48OFJcaOY7OxsLly4wOPHj3n9+jWWZZGXl8eePXuoqan5z94i//gW3GazkZuby6ZNmygtLWXv3r0Jb8H6XeFwGEgeRYp1YWw2G0uWLGH58uW43W62bt2K2+1O+HtNJyMjgzNnztDa2srz58/p7u7Gbrezf/9+jh49Sm1t7ZQ1LpeLK1eucPfuXQYGBhgaGmLNmjU0NDSwbt26aYsC+Gf2QEtLCxs3bpxyJiGmpqYGy7Lw+/14vV4ikQgrV66kvLycgwcPJjyQLyL/yojO9CoBERGRNPTixQtM06S6ujqeV/9bxsbG8Hg85OTk8OjRo78yi2Eu3Lhxg46ODurq6pIWizPV2NjIy5cvuXjxYkqHrUUWKnUKREREZsCyLEKhEDk5OZw4ceKvfIdnz54RjUbjsZ2FaGRkhFevXlFQUMCuXbtm5TPHx8e5desWAD6fb1Y+U2S+U1EgIiIyA4FAgEAgQG5u7pwXBdeuXWN4eBi/38+iRYsSnqOY71pbWwkEAvT29hIOhzl27Ni00bXfEYlEfnnAWSTdKD4kIiIyz1RWVrJ06VLWr19PVVXVgoy9NDQ08PbtW1asWEF5eTlVVVULthsi8n+gokBEREREJM1pToGIiIiISJpTUSAiIiIikuZUFIiIiIiIpDkVBSIiIiIiaU5FgYiIiIhImlNRICIiIiKS5lQUiIiIiIikORUFIiIiIiJpTkWBiIiIiEia+w45Go1QpVyabgAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"flat_lc = lc.flatten(window_length=401)\n",
"flat_lc.plot();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Folding the light curve\n",
"From the [L 98-59 System](https://arxiv.org/pdf/1903.08017.pdf) paper we know that planet c has a time corresponding to zero phase (noted as epoch_time) of 1367.2755 BTJD days and period of 3.690621 days. We can use the `fold()` function to find the transit in our data."
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"folded_lc = flat_lc.fold(period=3.690621, epoch_time=1367.2755)\n",
"folded_lc.plot();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Binning data\n",
"Often to see a trend it can be beneficial to bin the data, this can be achieved via the `bin()` function."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"binned_lc = folded_lc.bin(time_bin_size=0.025)\n",
"binned_lc.plot();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can now see our transit very clearly! Note that we can achieve the same plot from our data using one line of code instead of several, see below."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"lc.remove_nans().flatten(window_length=401).fold(period=3.690621, epoch_time=1367.2755).bin(time_bin_size=0.025).plot();"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.10"
}
},
"nbformat": 4,
"nbformat_minor": 2
}