{
"cells": [
{
"cell_type": "markdown",
"id": "ec5a2f4f",
"metadata": {},
"source": [
"# How to find an Exoplanet with TESS data\n",
"\n",
"When a planet passes in front of its host star, from a certain view point, it causes the light of that star to dim. This is known as a transit. \n",
"\n",
"\n",
"\n",
"Many space missions have been specifically designed to detect planets using the transit method. One such mission is the [*Transiting Exoplanet Survey Satellite (TESS)*](https://heasarc.gsfc.nasa.gov/docs/tess/). \n",
"\n",
"*TESS* is a NASA-sponsored Astrophysics Explorer-class mission that is performing a near all-sky survey to search for planets transiting nearby stars. The mission observes from a unique elliptical high Earth orbit (HEO) that provides an unobstructed view of its field to obtain continuous light curves and a more stable platform for precise photometry than a low Earth orbit.\n",
"\n",
"\n",
"\n",
"\n",
"*TESS* is equipped with four CCD cameras that have adjacent field-of-views to produce a 4 x 1 array, or 'observing Sector', yielding a combined field-of-view of 96 x 24 degrees, as illustrated below. \n",
"\n",
"\n",
"\n",
"Each hemisphere is split into these observing Sectors, and each Sector is observed for ~27 days. Since 2018, TESS has observed approximately 80% of the sky, mapping both the northern and southern hemispheres, and detecting thousands of planet candidates. \n",
"\n",
"Data from the *TESS* mission are publicly available from the [**Mikulski Archive for Space Telescopes (MAST)**](https://archive.stsci.edu/missions-and-data/tess). The main data products collected by the *TESS* mission are described below: \n",
"\n",
"- [Full Frame Images (FFIs)](https://heasarc.gsfc.nasa.gov/docs/tess/data-products.html#full-frame-images): The full sector images, with a cadence of 30-min (years 1 & 2) or 10-min (years 3 & 4).\n",
"- [Target Pixel Files (TPFs)](https://heasarc.gsfc.nasa.gov/docs/tess/data-products.html#target-pixel-files-tpfs): Postage stamp cut outs from the FFIs, focused on a selected target of interest. Each stamp has a cadence of 2-min or 20-sec. \n",
"- [Light Curve Files (LCFs)](https://heasarc.gsfc.nasa.gov/docs/tess/data-products.html#light-curve-files): The time series data produced for each 2-min or 20-sec TPF object. \n",
"\n",
"To learn more about the *TESS* mission and its data products, please visit the [*TESS* GI pages](https://heasarc.gsfc.nasa.gov/docs/tess/data-products.html)."
]
},
{
"cell_type": "markdown",
"id": "277d593e",
"metadata": {},
"source": [
"## Learning Goals\n",
"\n",
"In this tutorial, we will teach the user how to access, analyze, and manipulate data from the *TESS* mission (this can also be applied to *Kepler* & *K2*). We will be utilizing a [Python](https://www.python.org) package called [*Lightkurve*](https://docs.lightkurve.org/index.html) which offers a user-friendly way to analyze time series data on the brightness of planets, stars, and galaxies. The package is focused on supporting science with NASA’s *Kepler* and *TESS* space telescopes but can equally be used to analyze light curves obtained by your backyard telescope. \n",
" \n",
"This tutorial assumes a basic knowledge of python and astronomy, and will walk the user through several of the concepts outlined below,\n",
"\n",
"- How to use *Lightkurve* to access the various data products and create time series.\n",
"- How to account for instrumental and noise effects within your data.\n",
"- How to recover a planet transit from your data."
]
},
{
"cell_type": "markdown",
"id": "8203313e",
"metadata": {},
"source": [
"## Imports\n",
"\n",
"This tutorial requires the use of specific packages:\n",
"- [**Lightkurve**](https://docs.lightkurve.org/index.html) to work with *TESS* data (v2.0.1)\n",
"- [**Matplotlib**](https://matplotlib.org/) for plotting.\n",
"- [**Numpy**](https://numpy.org) for manipulating the data."
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "26c70fdf",
"metadata": {},
"outputs": [],
"source": [
"import lightkurve as lk\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"id": "a549f0cc",
"metadata": {},
"source": [
"### First time users\n",
"\n",
"If you are not experienced with *Python*, or cannot download *Lightkurve*, you can run this notebook as a [Colab notebook](https://colab.research.google.com/notebooks/intro.ipynb?utm_source=scs-index). Colaboratory allows users to write and execute *Python* in your browser with zero configuration required. \n",
"\n",
"All you need is a Google account and to copy and paste in the following command at the top of your colab notebook:\n",
"\n",
"`!pip install lightkurve --quiet`\n",
"\n",
"This downloads the *Lightkurve* package."
]
},
{
"cell_type": "markdown",
"id": "9034138e",
"metadata": {},
"source": [
"## 1. How to use *Lightkurve* to access the various data products and create a time series\n",
"\n",
"You can search for the various data products for *TESS* using the following *Lightkurve* functions.\n",
"\n",
"- To look for your object in a full frame image: [`search_tesscut()`](https://docs.lightkurve.org/reference/api/lightkurve.search_tesscut.html?highlight=search_tesscut)\n",
"\n",
"- To look for target pixel files: [`search_targetpixelfile()`](https://docs.lightkurve.org/reference/api/lightkurve.search_targetpixelfile.html?highlight=search_targetpixelfile) \n",
"\n",
"- To obtain light curve files for your object of interest: [`search_lightcurve()`](https://docs.lightkurve.org/reference/api/lightkurve.search_lightcurve.html?highlight=search_lightcurve) \n",
"\n",
"\n",
"In this tutorial, we will be examining a nearby, bright target [Pi Mensae](https://exoplanets.nasa.gov/exoplanet-catalog/7271/pi-mensae-c/) (TIC ID 261136679), around which *TESS* scientists discovered a short period planet candidate on a 6.27 day orbit. See the ApJ paper by [Huang et al (2018)](https://iopscience.iop.org/article/10.3847/2041-8213/aaef91/pdf) for more details. "
]
},
{
"cell_type": "markdown",
"id": "c6754d85",
"metadata": {},
"source": [
"### 1.1 Accessing the data products\n",
"\n",
"Let's go through each one of the above functions and see what data is available."
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "8419e26c",
"metadata": {},
"outputs": [],
"source": [
"search_ffi = lk.search_tesscut('Pi Mensae')\n",
"search_tpf = lk.search_targetpixelfile('Pi Mensae')\n",
"search_lcf = lk.search_lightcurve('Pi Mensae')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "01e4ad28",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"SearchResult containing 13 data products.\n",
"\n",
"
"
],
"text/plain": [
"SearchResult containing 13 data products.\n",
"\n",
" # mission year author exptime target_name distance\n",
" s arcsec \n",
"--- -------------- ---- ------- ------- ----------- --------\n",
" 0 TESS Sector 01 2018 TESScut 1426 Pi Mensae 0.0\n",
" 1 TESS Sector 04 2018 TESScut 1426 Pi Mensae 0.0\n",
" 2 TESS Sector 08 2019 TESScut 1426 Pi Mensae 0.0\n",
" 3 TESS Sector 11 2019 TESScut 1426 Pi Mensae 0.0\n",
" 4 TESS Sector 12 2019 TESScut 1426 Pi Mensae 0.0\n",
" 5 TESS Sector 13 2019 TESScut 1426 Pi Mensae 0.0\n",
" 6 TESS Sector 27 2020 TESScut 475 Pi Mensae 0.0\n",
" 7 TESS Sector 28 2020 TESScut 475 Pi Mensae 0.0\n",
" 8 TESS Sector 31 2020 TESScut 475 Pi Mensae 0.0\n",
" 9 TESS Sector 34 2021 TESScut 475 Pi Mensae 0.0\n",
" 10 TESS Sector 35 2021 TESScut 475 Pi Mensae 0.0\n",
" 11 TESS Sector 38 2021 TESScut 475 Pi Mensae 0.0\n",
" 12 TESS Sector 39 2021 TESScut 475 Pi Mensae 0.0"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"search_ffi"
]
},
{
"cell_type": "markdown",
"id": "e361e925",
"metadata": {},
"source": [
"The above table provides several important pieces of information. \n",
"- The sector in which the object was observed.\n",
"- The year in which the object was observed.\n",
"- The author of the data. This has multiple options, and each is a hyperlink that when clicked will provide you with more information. \n",
"- The cadence of the observation. \n",
"- The name of the target.\n",
"- The distance of the observation from your target of interest. This is useful if you conduct a cone search around your objects co-ordinates. \n",
"\n",
"The table above indicates that our object was observed in multiple Sectors. Note that in Sectors 1 - 13 (2018 & 2019) that the cadence of the FFI data was 30-min, but in Sectors 27 and above (2020 & 2021) it is 10-min.\n",
"\n",
"Let's see if any other data exists - i.e., was it observed as a target of interest and does it have a Target Pixel File. "
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "7c5cc524",
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"SearchResult containing 30 data products.\n",
"\n",
"
"
],
"text/plain": [
"SearchResult containing 12 data products.\n",
"\n",
" # mission year author exptime target_name distance\n",
" s arcsec \n",
"--- -------------- ---- ------ ------- ----------- --------\n",
" 0 TESS Sector 01 2018 SPOC 120 261136679 0.0\n",
" 1 TESS Sector 04 2018 SPOC 120 261136679 0.0\n",
" 2 TESS Sector 08 2019 SPOC 120 261136679 0.0\n",
" 3 TESS Sector 11 2019 SPOC 120 261136679 0.0\n",
" 4 TESS Sector 12 2019 SPOC 120 261136679 0.0\n",
" 5 TESS Sector 13 2019 SPOC 120 261136679 0.0\n",
" 6 TESS Sector 27 2020 SPOC 120 261136679 0.0\n",
" 7 TESS Sector 28 2020 SPOC 120 261136679 0.0\n",
" 8 TESS Sector 31 2020 SPOC 120 261136679 0.0\n",
" 9 TESS Sector 34 2021 SPOC 120 261136679 0.0\n",
" 10 TESS Sector 38 2021 SPOC 120 261136679 0.0\n",
" 11 TESS Sector 39 2021 SPOC 120 261136679 0.0"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"search_lcf_refined = lk.search_lightcurve('Pi Mensae', author=\"SPOC\", exptime=120)\n",
"search_lcf_refined "
]
},
{
"cell_type": "markdown",
"id": "d886ca96",
"metadata": {},
"source": [
"We now see 11 search results. Let's download these and see what the light curve looks like."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "f5b9ba1e",
"metadata": {},
"outputs": [],
"source": [
"lcf = search_lcf_refined.download_all()"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "ce58ec1e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"LightCurveCollection of 12 objects:\n",
" 0: \n",
" 1: \n",
" 2: \n",
" 3: \n",
" 4: \n",
" 5: \n",
" 6: \n",
" 7: \n",
" 8: \n",
" 9: \n",
" 10: \n",
" 11: "
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lcf"
]
},
{
"cell_type": "markdown",
"id": "4f280b9a",
"metadata": {},
"source": [
"The above indicates that we have downloaded the light curves for each Sector and stored the data in arrays. You can look at the data for a specific Sector by specifying an array number as indicated below. This displays the data for Sector 1 as a table."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "27e1df7e",
"metadata": {
"scrolled": false
},
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nan
1630.65089
8.4083091e-05
260.74716
1.3951387e-04
6.2483948e-02
-7.1828649e-04
\n",
"
"
],
"text/plain": [
"\n",
" time flux ... pos_corr1 pos_corr2 \n",
" electron / s ... pix pix \n",
" object float32 ... float32 float32 \n",
"------------------ -------------- ... -------------- --------------\n",
"1325.2969604950604 1.4641956e+06 ... 9.0913408e-02 -7.2966635e-02\n",
"1325.2983493645327 1.4643365e+06 ... 6.2022530e-02 -1.0871942e-01\n",
" 1325.299738234005 1.4643485e+06 ... 6.1673984e-02 -1.1394957e-01\n",
" 1325.301127103477 1.4643674e+06 ... 6.0909923e-02 -1.2573890e-01\n",
"1325.3025159730657 1.4642560e+06 ... 5.3837594e-02 -1.2532526e-01\n",
" 1325.303904842538 1.4644681e+06 ... 5.2977830e-02 -1.2562653e-01\n",
"1325.3052937121265 1.4643586e+06 ... 5.7222184e-02 -1.3051888e-01\n",
"1325.3066825815986 1.4643564e+06 ... 5.5443291e-02 -1.2712292e-01\n",
"1325.3080714511873 1.4645452e+06 ... 5.1877767e-02 -1.2947108e-01\n",
" ... ... ... ... ...\n",
"1353.1645661947705 1.4646795e+06 ... 5.5579260e-02 -1.1038263e-02\n",
"1353.1659550506233 1.4649392e+06 ... 6.0031198e-02 -1.2474478e-02\n",
" 1353.167343906477 1.4646214e+06 ... 5.7689309e-02 -9.8480135e-03\n",
"1353.1687327622717 1.4647834e+06 ... 6.3572161e-02 -1.4975319e-02\n",
" 1353.170121618124 1.4644656e+06 ... 5.4697301e-02 -3.3739604e-02\n",
"1353.1715104739196 1.4647081e+06 ... 5.7749905e-02 -1.5640877e-02\n",
"1353.1728993297734 1.4646606e+06 ... 6.7496188e-02 -1.1539744e-02\n",
"1353.1742881855687 1.4648560e+06 ... 6.1896853e-02 3.0782772e-03\n",
"1353.1756770414217 1.4646049e+06 ... 5.2571520e-02 -3.2142449e-02\n",
"1353.1770658972157 1.4646141e+06 ... 6.2483948e-02 -7.1828649e-04"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"lcf[0]"
]
},
{
"cell_type": "markdown",
"id": "a8b738be",
"metadata": {},
"source": [
"In this table, you are given the time and the flux for your object of interest.\n",
"There does however seem to be three entries for flux: flux, sap_flux, and pdcsap_flux. \n",
"By default, the flux = pdcsap_flux, but what do these entries mean?\n",
"\n",
"- **Simple Aperture Photometry (SAP)**: The SAP light curve is calculated by summing together the brightness of pixels that fall within an aperture set by the *TESS* mission. This is often referred to as the *optimal aperture*, but despite its name, it can sometimes be improved upon! Because the SAP light curve is a sum of the brightness in chosen pixels, it is still subject to systematic artifacts of the mission.\n",
"\n",
"- **Pre-search Data Conditioning SAP flux (PDCSAP) flux**: SAP flux from which long-term trends have been removed using so-called Co-trending Basis Vectors (CBVs). PDCSAP flux is usually cleaner data than the SAP flux and will have fewer systematic trends.\n",
"\n",
"\n",
"You can switch between fluxes using the following commands,\n",
"\n",
" pdcsap = lcf[0].pdcsap_flux\n",
" \n",
" sapflux = lcf[0].sap_flux\n",
"\n",
"Let's now plot both the PDCSAP and SAP light curves and see what they look like."
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "144d43a7",
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = lcf[0].plot(column='sap_flux', normalize=True, label=\"SAP\");\n",
"lcf[0].plot(ax=ax, column='pdcsap_flux', normalize=True, label=\"PDCSAP\");"
]
},
{
"cell_type": "markdown",
"id": "8538805c",
"metadata": {},
"source": [
"There are some big differences between these two light curves, specifically the dips in the SAP light curve and its overall gradent. These differences will be discussed later in the tutorial. For now, let's think about how we can manipulate the light curves.\n",
"\n",
"#### 1.2.1 Manipulating a light curve\n",
"\n",
"There are a set of useful functions in *Lightkurve* which you can use to work with the data. \n",
"These include:\n",
"\n",
"- [flatten()](https://docs.lightkurve.org/reference/api/lightkurve.LightCurve.flatten.html?highlight=flatten#lightkurve.LightCurve.flatten): Remove long term trends using a Savitzky–Golay filter\n",
"- [remove_outliers()](https://docs.lightkurve.org/reference/api/lightkurve.LightCurve.remove_outliers.html?highlight=remove_outliers): Remove outliers using simple sigma clipping\n",
"- [remove_nans()](https://docs.lightkurve.org/reference/api/lightkurve.LightCurve.remove_nans.html?highlight=remove_nans): Remove infinite or NaN values (these can occur during thruster firings)\n",
"- [fold()](https://docs.lightkurve.org/reference/api/lightkurve.LightCurve.fold.html?highlight=fold): Fold the data at a particular period\n",
"- [bin()](https://docs.lightkurve.org/reference/api/lightkurve.LightCurve.bin.html?highlight=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. For this tutorial, let's stick with the PDCSAP flux."
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "2453fb97",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'PDCSAP light curve of Pi Mensae')"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax = lcf[0].plot() \n",
"ax.set_title(\"PDCSAP light curve of Pi Mensae\")"
]
},
{
"cell_type": "markdown",
"id": "ae1e00d6",
"metadata": {},
"source": [
"We can kind of make out a possible transit but let us manipulate the light curve some more to see if we can pull it out. \n",
"\n",
"### Flattening"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "03d2fe44",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Zg0mTJsHPzw9NmjRB//79eW5Bzz77LGJiYvD7779jw4YNKFeuHN566y106tSJJ29BQQH27NmDZs2aITAwUPS6ORwOrF69Gunp6Wx2rWHDhqFcuXKS15ogCIIgCGticwjT8xCWIzs7Gz169MCyZctE3TIuX76MuLg4xMTEKPqNE4SZ0LNKEARhPSIiIpCQkGC2GISbUBpHMtBMgRcRExPjFAwaFRXFy4ZDEARBEARBEFohpcCLiIuLk5wpIAiCIAiCIAi9UPYhgiAIgiAIgijkkFJAEARBEARBEIUcUgp8ACbOoKCgwGRJCEIe5hkVWyiNIAiCMA/uOjdE4YS+zD5A2bJlAQApKSkmS0IQ8jDPKPPMEgRBENbgzJkzZotAmAwFGvsAQUFBiIyMxLp16wAANWvWhL+/v8lSEcT/KCgoQEpKCtatW8cuLEcQBEEQhHUgpcBHiI6OBgBWMSAIKxIZGck+qwRBEARBWAdSCnwEPz8/9OjRA506dcLt27dht9vNFokgWPz8/FC2bFmaISAIgiAIi0JKgY8RFBREAy+CIAiCIAhCExRoTBAEQRAEQRCFHFIKCIIgCIIgCinp6elmi0BYBHIf8iJiYmKc8rtHRUUhKirKJIkIgiAIgrAaqampWLduHQYOHKhY9vz58x6QiPAGSCnwIuLi4ihegCAIgiAIWXJzc5GVlWW2GISXQe5DBEEQBEEQPgZlISS0QkoBQRAEQRCqycjIMFsEQgUFBQVmi0B4GaQUEARBEAShmg4dOpgtAqECUgoIrZBSQBAEQRAm8dtvv5ktAuGjkFJAaIWUAoIgCIIwibi4OLNFIHwUiikgtEJKAUEQBEEQhI+hdqbAZrO5WRLCWyClgCAIgiAIwscg9yFCK6QUEARBEARB+BikFBBaIaWAIAiCIAjCx6CYAkIrpBQQBEEQBEH4GPn5+WaLQHgZpBQQBEEQBEH4GDRTQGiliNkCEOqJiYmBnx9fj4uKikJUVJRJEhEEQRAEYUUopoDQCikFXkRcXByCgoLMFoMgCIIgCIujdqaAUpISDOQ+RBAEQRAE4WNQTAGhFVIKCIIgCIIgfAytMQWkRBCkFBAEQRAEQfgYamMKHA4HACA7O9ud4hBeACkFBEEQBEEQPgYFGhNaIaWAIAi3sWrVKgwbNsxsMQiCIAodpBQQWiGlgCAIt3Ht2jUkJyebLQZBEEShwuFw0DoFhGZIKSAIi/Prr7+aLQJBuMSKFSuwdu1as8UgiEKF2pkCJiUppSYlSCkgCIszefJks0XwKux2Oy5cuGC2GASHXbt2Ye/evWaLQRCFCnIfIrRCSgHhc6xdu5ZcVgoxly5dQrdu3cwWgyAIwlR8XSl48803zRbB5yClgPA5pk6dSlZJgiAIolDj6zEFJ0+eNFsEn4OUAoIgCMKtMHnQCYLwHFpnCiimgChitgCEemJiYuDnx9fjoqKiEBUVZZJE1oUGIdaBPjQEQM8BQRjB1atXsWHDBgwcOFCxLK1QTGiFlAIvIi4uDkFBQWaLYXlo8GEtSEEjCIIwhuTkZMyZM0eVUuDr7kOE8ZD7EEEQBEEQhAWw2+1IS0szpC6tKUkJgpQCwich67R18PQHh+69NaH7QhDKJCUloWPHjpL7tbxHvp59iDAeUgoIn4OsHgRhLUghIAh1GOnyQ0oBoRVSCgiCIAi3Q8o6QShjpALtqoKRnJyMQYMGGSSNaxw7dgzDhw83Wwyfh5QCwichy2Thhe699SCFgCCMwZPuQ0ePHsWRI0dcqsMorly5gu3bt5sths9DSgHhc9AAxDrQAJ0gCML97Nq1C3fu3OFtKygo0NQHC7+dkyZNMkQ2wnvwypSk2dnZWLZsGVJSUpCSkoK7d++iV69e6N27t6rjc3JysHjxYuzZswdZWVkIDQ1Ft27d0LJlS7eXTUxMxKhRo0Tlio2NRZ06dVReBYIgCO+AlEOCcC8xMTH44Ycf0LZtW952u90Of39/2WPJkEYweKVSkJWVhY0bNyIsLAyRkZHYtGmTpuPHjRuHM2fO4K233kLVqlWxc+dOxMbGwm63o3Xr1h4p27dvX4SHh/O21ahRQ9N5WIV79+5h2rRpGDlypNmiEAJWr16Nhg0b4vHHHzelffrYEAz0LBCE62hVsNUoBQTB4JVKwWOPPYYlS5bAZrMhMzNTk1KQkJCAY8eOYdiwYWjVqhUAoEGDBsjIyMC8efPQokUL9gVyV1kAqFKlis/MCty4cQMrV64kpcCCxMbG4uOPPzZNKSALMUEQhHkUFBSgaNGismWs3k/n5+cjPj7ebDEKBV4ZU2Cz2XRbnfbv34/AwEA8//zzvO1t27bFrVu3kJyc7PayBEEQBEEQQlwZoIuNi7QEG1t1Nu/OnTs4cOCA2WIUCrxSKXCFixcvIjQ01Gk6LSwsjN3v7rIAMGvWLLz66qvo3r07vvrqK/z777+KsmdnZ6v69/DhQ8W6CIIgPInVrZEEYUX+/fdf7N27V/fxtFYBoQWvdB9yhaysLFSqVMlpe3BwMLvfnWWDgoLQuXNn1K9fH6VKlUJqair++OMPjBo1CmPGjEHjxo0lZe/Xr5+aU9QUdE0QvgYNPq0H3ROC0Mfq1atx+vRpPPfcc7qON3IxNML3KXRKgdnUqlULtWrVYn/Xq1cPkZGR+PjjjzFv3jxZpWDevHkICgpSbEPJf9BorDjlSIMQgrAWVuwnCMKXEHvH8vPz2e+ht72D6enpqFixotliFCoKnftQcHAwz8LPwGxjLPvuLCukZMmSaNq0KS5cuIDc3FzJckFBQar+eVopsBre1vG5G1KQCLOhd5LwFazcn3LfM0ZOu92OCRMm4Mcff1R1nFW4d+8eoqKizBaj0FHolIKwsDBcuXLFyc+O8fnnpgV1V1kxvFWTJ6xNYXyerPzRJgjCu2natCkyMzPNFoNlxYoVyMnJASAdaJyamoq0tDTJOh48eOA2+QjvotApBZGRkcjJycG+fft427du3Ypy5cqhdu3abi8r5N69ezh8+DBq1qyJYsWKuXJ6PoXD4dA9wKOBIUFYB3of3cOVK1fo2pqAu5J5zJkzBwsXLtR0zA8//CA74FcTaDxkyBBNbRK+i9fGFCQkJCA3N5fVkC9dusRG6Ddp0gQBAQFITEzE6NGj0bNnT/Tq1QsAEBERgUaNGmHGjBnIzs5G5cqVsWvXLhw9ehRDhw7lZQ9yR9nY2FhUqFABTz75JEqVKoVr165h1apVuHPnDr2YAuLi4pCbmyu5ArQUhdE6LgcNGgjCN+nSpQs2b96MsmXLmi2KIbRo0QK7d+82WwzT+Oeff3DmzBnZMlr7c8o+RGjBa5WCmTNnIiMjg/29d+9eVimYO3cuAgICADzypxO+RKNGjcKiRYvw66+/IisrC6GhoRg+fDhatmzp1I7RZcPCwrBnzx7Ex8cjJycHwcHBePrppxETEyM7m1AYSUtLk42xIJQhBYkgzCchIQGNGzeGn1+hm5zXBGPkI4xDS/Yhq34vrCqXL+K1SsHPP/+sWCY8PBzr1q1z2h4YGIiBAwdi4MCBinUYXTY6OhrR0dGKdRGEFfjll1/w2muvoUyZMrrroA6dKOy899572LZtG0qVKmW2KIQP4+riZQRBZguCICSZMWMGLly44FId5L5EEARhDlZXCt5///1C7TJmNUgpIFyGLMG+jSsuD6QQ+A579+7FuXPndB1Lz0HhJiIiwmwRvAI131K5d0lupiAjIwNTp051uX2jOXr0KNLT0z3eLiGObvehbdu2GSZEmzZtDKuL8B1sNhtlHzIAV6+Fqx8KUhp9g0mTJuGFF17AJ598YrYoBOGz3Lx5U/Mxcn0sE1Nw8eJFJCUl0ftLyKJbKZgyZYphH3tSCggjoUHo/zDiWrhSh9pjb9y4gZCQEN3tEJ6BlG2CsB5y6xzl5+fzyhCEHC4FGoeFhSEyMlL38QcOHHDZX7kwERMT4+TKERUVRav+EW7FFaVA7Yeoffv2SEhI0N0O4X48oRwS3suaNWuQlpaGQYMGmS2KT6NlcO/v768p+5DZHDt2DI0aNTJbjEKNS0pBzZo12fz/ekhPTyelQANxcXEICgoyWwyPQZYNY3D1OkrFFKSmpmLhwoUYMWKES/UbDT03xpOXl4dLly7pPp7uifuwisKVmJiIM2fOyCoFBw8eROnSpVGnTh0PSiZOWloa7t27hyeeeEKyzPTp01GhQgV0796dt13uec7IyMD48eMxefJkw2RVgnkGhM+Cv7+/5QONufTv31/UOKT1GU9PT0eFChUoBbAOdF+xoKAgFC9e3KXGixUrhsDAQJfqIHwbPdZjq3wkuSxZsgTx8fEeb1fpWqxevRrXr1/XVcfFixexfPly3bJpgYwH5mLECq5WfC99AakB6t27d5GVleVhaeSZNm0aVq1aZbYYAICFCxfiyy+/lC1z5MgRnDx50mm7nFJw/fp13dl0jH5H/Pz8MGPGDMs9B+4mKioK//77r9lieCW6lYKlS5fivffec6nxDz74AEuXLnWpDsJ3sdlsbltO3tNs3boVBw8eBADRQfjs2bM9LRIA4LvvvsM///yj+Tgjs4mosSJ369bNsPY8ia9lXSGLv/cwZswYjBs3zqNtetvz4W3yAtrdhxITE5GamupTSrmaftUb760VoLkVwmuRS2NmtQ6BK88rr7zitP///u//dNXbvn173TKpRepjYtWPjNXuvS/hyrWl++JZCgoK2CBTT2DV/kAKb5NXD/7+/uzf9+/fd7m+U6dOoXXr1i7Xo5XCcK+sAikFhMuY8cLm5+dTgDUeZe1xFaX7Z6ZSkJ+fj5ycHLe34+tkZmbqSnXI8MEHHxgoTeHE4XAgIyPDbDHchjcqfd4osxxMn5yeng6Hw8EqBUb11VlZWbh3754hdXG5desWTp06ZXi9hHZIKSAIExg8eLCiL79RuCvQWC1XrlzBb7/9puvYFStW4O2333apfeJRkoLPPvtM9/GMf64rz1Jht/bdvHkTHTp0MFsMU2Gen7S0NJMlcV9WNXc85xcvXlRVjmk7KioKN27cYPtuK797DocDa9askV0/wR3K29mzZ5GYmKhaycnOzsbWrVsNl8NqGK4UXL58Gf379ze6WoLQxaxZs8wWQZS9e/e6ZLm1Alo+NAcOHJDcJ9fh379/H7dv39Ykl69Z/4zCygODwoCvP5dqny+bzYaOHTs6bb9z5w7vd4sWLQyRSw7hPbFqDBDX9UftINbhcKBIEZcSTHoUvf3Tnj17dB03bdo09OvXD2PHjlVVPjk52XKZ9tyB4UpBfn6+xyyghG8j10mo7UDmzp1rlDheC3Otbty4oStwW2qmwFODTLMHU1u2bEHfvn1NlYGwPnv27MH8+fMl95v9HLsTh8PB61vu3LkjmcBAeB0WL16M48ePY/To0bzt7nYbVNN/ORwOyynTP/zwg9M2qTGX0Sk59T7Dw4cPd6lduXtw5coVAMBvv/3Gm4HiHpOTkyMZdJ+Xl+eSbFrwhix6mp+YJUuWyP7766+/3CEnYRIFBQWmWU+4HdC3337LZu/ReqwVMEue+/fvs2137NgRGzdudCqjN6ZAjhkzZuDUqVMeP2+5GQm93LhxA+fOnTO8Xm/EXffzwYMHXpVPXYwjR45g7dq1bm9n+/btvGxlcu+np96/gwcPYv369ezvLVu2YMCAAapkWrhwIRISEnjxFjNnznSPoDK4w1deCrvdjhUrVsiWEa6NIBc/9v777wMQX6dAbLun2b59u1vrX7p0KeLi4nDixAnR/ZmZmfjjjz9E93nyG+UNWfR0KQXx8fHYsmWL6D8tAzfC+uh5YdLT01nt3Sg2btyIlJQUVWWFHeD58+dNVxL++ecfrFu3zlQZ8vPzdQ289HxQ5s+fb0qe6I8++sjjbfoix44dw9y5c3H37l2PtNe3b1+sXr3aI20xJCcn4+rVqx5t0wj++ecfbN68WbGczWbDjh07ZGcvjELtgNpms0lmROL27z///LMhcgFQXIuAQSqXvzu+HXl5eaIWfy7C71379u3x008/yR4j7KuZmQKpVY337t1rifgO4JFhQC/JyckGSlK40awUVKhQAQMGDMDPP/8s+m/MmDHukJMwicjISM3HTJs2Dd9//yV5VdIAACAASURBVL0bpPkfWjrq6Oho5ObmulEaz/DgwQOXOk4AuHr1Krp06WKQRMpwP1InTpwQ7by1BO1lZGS4deCfkZHhNgUyMTHR7e+FUfTv3x+zZs3CtWvX0Lt3b0PqZNYdEXNhy8jIMCRloha++eYbLF682NA6zTA+KLUpl7oZkHY9cRWhXA6HAw6Hw2k2xd3XTKv3QkREBPssShlEtMpcUFCAGzduYMeOHZqOE8JV8JQMPPn5+WxMgdR3Y9SoUdiyZYvq9t15r5hrrrWNixcvsqutc4812xDorWhWCh5//HFZi63NZqObUcjRe//1BvHk5ubi999/l5XBnc9kZmYmFixYoPk4rRb477//Ht9//z0yMzN558N0iFKkpqayf2dmZmqexdHrl8oMApi/p02bhoULFyoed/fuXZ4rAjfQ+ObNm25xEWLo0KEDzp4965a6z5w549JqrmfPnuVdFy0wvtHDhg0DACxbtky1ddcoK5zD4UBsbKxoYN+DBw80B5S7mwsXLuD9999XbbU2ykVjy5YtiusLcN9/pUG/XN9XUFAgum6KXpKSkuBwOFBQUACHw4F27dqx++RW1TXbveXUqVOYOHEi+5sZcBsVU/Ddd9+hd+/e7PvHcPr0aQCPXIMuXLiAffv2qa7z2rVrsvuHDBmimH0oICDAEimflb7Pcvdg7dq1OHbsmOq21qxZ47TNVWObL6H5a9+1a1c8/fTTkvsrV67sNdYwbyMmJgYffPAB79+GDRvMFsvphdXbkQrTfamt49atW7wOXew4dykFrVq1wuXLlzFt2jS31M8lKysL9+/fx4svvogjR46w2w8fPix73O+//+6ShUrq2un9WF6/fl12oJWcnIyvv/5aV91GYFWjxp49ezB58mSX6mCeg9jYWNVpDrkIr41WBTMzM9MpywzwyKq5aNEizfK4k6SkJBw+fNjj/u2ff/45bt26pbp8nz59ZPd7+nlOSEhAbGwsHA6HqgxrWuQz0u+fa8A8cuQIdu/ezdu/bds2w65denq66D194403ADxyDRLzN09LS1Mc/MuhZNApUqSILpdSI2NnpAx4Wgb6YnVJfZ++/fZb3u/Dhw/jxRdf1NyWr6JZKahXr55s4GlAQADCw8NdEooQJy4uDjNmzOD9M2sBr88++8zQjmHUqFGy+7V2zr/88otLx6vFHS4Pc+bMkfTHZzo6rSuVMhYqseugNLiXaos5Tu4aMGW4bZw9e1Z2oOXqvbLqoN5sjJg94x4zePBgnitaXl6eZDCksK3MzEzRclK+z0aSnp6uyjKoR+mVu6ZiFkouaWlpqgdoZlvW5XB14L5y5UrJfXKr6ebk5CjOmgph7pfwujscDt3regjvjSsZ8CZNmqQpTlPYtp6UpGoy5HBnn/UyZMgQNp2o2PM8ZMgQ0eO0ZAtiZqvF3su9e/cCAB4+fOhW9+KRI0e6rW53QIuXEbo4efKkSxYMIZs2bVIsw+04tFoRuJ2CGQGwWpg/fz4SExNF97nq/6tnINijRw/Z/SdPnnTaZrPZcOXKFbbjdTgcOHLkCDtdrlcmKw+G1OCq/NxrpcXNyR3Xjbm3DGvXrsVrr72mKMPFixdNtcxFRUWha9euiuW0XjPG8vzOO++I7t+5c6fs8R07dsR//vMfAMoDHy3vjFWU5M2bN4u+/0LGjx+vqd4NGzbgxIkT+PPPPzVld+HeXyWLulRA+ssvv6wYqOuutXLEnk+pQGM5hM+H0RlyuFl/uIv3HTx4UHQMofS8Nm/eHMCjDHdKxx48eBBdunRxcpFS+04YkXlRTVIAK+GyUpCZmYn//ve/RshCeBF37tyR7Cg98RHiuswIO0Klj/lbb70F4JF7gNWzFgg7vqSkJADA0KFDDWtjypQpuo5Tus4bN250GriqcSewWlB4Xl4ecnNzceHCBTZjyO3bt1X7mjPxLkrvhcPhkM32I7zePXv25P3Oz89HREQEz9LncDg0uaKIyaSGjIwM3L59W3EdDCbY2NX2XIVRro1cmZYpz83Pz/Wp13JunkwGoIWzZ8+yz+iNGzfYWQE110ou05MrSuvs2bOxc+dO9vrKPV/c+wEou0Y6HA5cuXIFr776quhxt27d8mgqUzVwZ24ZpUBptlctet7Po0ePsn9z085y69MTICz0BhA7lhmnCNO7uhKXNmHCBN5vu93udH0dDgfPcJmYmChpLLAaLisF2dnZ2LZtm0emfQnzOH/+PO93Tk6OYlaHdu3aiQ4C796963Led62dk1j56dOnY968eS7JYQRCq2VeXh6WL18OgN/xcc9BaeD8wQcfKLbLuHqI+YVPmDBB1QCP+78Qrrz79+9n/5ar98GDB5LTxlyYvNyeCBBj2khJSWFzi1+4cEG1r/m2bdvYv202G3788UfRcidOnECbNm10y8n0wdxc3X///Tdefvll3XUKkXrvYmJiMHv2bDx8+FBxNoupQyzA1Z1KwfXr1yXzmBuB2Htg5qrlQnm+/vpr3rMoVkaK9PR0rF+/Hm+//Tb+/PNPAMCHH37IvgOnTp1SrEMqycCdO3cwffp0VXIoYbfb8eyzz0ru594P7rmLxcUBkFWoubExv/32G+7evYvFixfjww8/1Cy3FHreB+77zvTtns7sxYU5B2HMBveaK52nXCIPPUYkV64H821mWLhwIQYPHszbZrfb0b9/f/Z3v379WGOBmfdCDeQ+RKhCanVKOUv7zZs3kZ2d7bR97dq1HtGauVYJqU7nwYMHovsGDhyouh29AxnmQ3j58mWnfXqCQBcvXsxarw8dOqRYvn379pL7li9fzutsz58/r+rDz0Xs3ttsNsTExLC/s7KyeB9X7rU8dOiQ5KCFmSl6/vnnNcnEUFBQICqfq/z555/44osveNscDgdPeVmyZInowm5qfGVzc3OxY8cO0Q+h2HPIWLCMXJn1wIEDsgsv7dq1S1U97kqFKcXq1atdmmHLz8+XjIVQg9brf/78eaxZs8blFVeZ43fv3q34Dv/xxx+i7jBHjx7F119/zXuOuc/UsmXLXJJRioKCAkWD47Vr11QZd4QWfW6gsZSbjZzvPKPkOBwOxMXFITY2FlOmTPHY2h5i2Gw2Xt+gJkbFU7NzjIFLa1yb3W5XbURUE2hsNLdv30Z6ejoKCgrwySefKJbXMrYwA1IKCJeQWhiHO/2qFa3BYlJw/Rel5Ni9ezeOHz/utJ075amE0Lda7VLmWtLPqeH48eOqYy2krvHcuXNFc7f/8ssviIuLEz1GqvNVGnRHRETghRdecErTx6AUfK4WsTzcGzduxOuvv87+7tu3r+isQ35+vmKAKJfLly+z94DxYz1y5Ahee+013mBLKWOMFLm5uRg2bJjs8Vqn4hcvXixpQRcLTt6zZ4+TtUzYZlZWlpOrhhrcPUDhPqunTp3CkSNH8Pfff6s6dtWqVejVqxf7e8mSJaIBqsCj7E7MIFTN8yN23gcPHsS3336L5s2bK87aybF+/XqcOXMGmZmZoi4XXMaNGyfah4jJl5GRgaVLl0ruV4NS9qpRo0bh//7v/zTXK/QFv3TpkmSQcl5enqwLqtS3QOj6IoyX4N53rpFGyyy5Xhc2BiWFSkv9gwYNkox1Ax4NjsWeA6EMYv2TXJ/18ccfq5ZR6TmMjY2V3KfV6CVss6CggP2my8lhptKoBlIKCFVIdR5aOhXuB1WKiRMnygYrqkHshZR7SdW6oIwePVo0foYZYJ85cwaAtkAtLeng5M6hY8eOmu6F1OrKx44dk+z4he0zgylXXQeN9skVyvn55587lcnJyeFZqpOSknguTgx37txRzAPPhbE+3r59Gy1atGC3Z2RkKFoz5e5fZmYmL+0t486nJQuI1OB33rx5SEhIUF2P0of39u3byM7O1uU6426lQJgr//z58+zAVojwfuTl5fGm/n/88UdJX+1ly5axridMXI3cuSllmNHzjnHllwrwVbrep06dwoYNG0TdaIx4b4XuTEJSU1OdMlpxZxq5yJ2LXHIJJnBVL1LtClNfMmRlZalW3F2NeZFbG0IrR44cke0LX3rpJSc3Y+B/gbZSipfSM3jw4EHVBjTu+yhWr1yg+6effqq7/9GyPpdVAv+lIKWAUIXebBfcv5lBsxx6chMLkRoo9evXj7XScK3H3A9ufn6+ZEcaHx8vmkudOUel7CJiMIHDDHpSvdlsNqSlpRmSV1tq+lXKig4A7733nkttqp1ZuXPnjqylSgti10nMgqMUiJiUlIQ7d+6wcTJ+fn6w2+2Syh73mnJnKuTaAqTdyTp16iTbhprMF3qeGbkByezZsyUzVimtnrp582a3fjRdCWIX+/DLZXfRsiiUVhchsWvEVUKPHj0qqZRpub6DBg3CmDFjeIGZRrpl6LnXUu5pcnV9+eWX7N/x8fE8f29X5XL1eRWbqWZwZYbIHTDuc1Kuf3rdlbTEF8jxzTffsDF6GzdudNrPjC9++uknp33Xr19nxwIHDhxw2yKWVoeUAsIllGYQtFrtuRkqhHVL+fOq/UglJiayH8rPP/9cdOpy3bp1eOGFF9jfYp2fnsVeGIQuNULZpT4C06dPl7SWcDMxHThwQNaqoqbDZWTiugtt377d6Vh3+GxyrWvC9rZu3eqU+UEtBQUFrDX2zp07okoOt+3U1FTJeBMuAwYMQHx8PBsnc+DAAclc/UIuXbrETlmLLejFhZvWTwru88xkMpKKBRKyYMEC3VmKli5d6hRbJGdFlrumqamp+OKLLzy6urHa51jMWi8MVuWeG7MwFeMio9cizOzfsWMHZs+ezW7r27cvrwxXCfnwww95Bgfu8/7888+zAx4xI4zY9XAlW4tSQgpPc+PGDScDlZrZwNatW7PX2Ejji5yiamR2LFdg5Ni+fTuAR/E5gPP3TE5exqDDLcP0OUYaApgYPakZQEDabY0xDMXFxaly+7Pb7bh//77oDIkUNFNA+DTx8fHsx+f06dO4du0aUlNTeR2Wlly/cpH5XN9SqRdL6mVnyotZ7xwOBwoKCpCTk+PUQYtlSHn48CH+/vtv1rqnJQ+xMC+zWsujmOsJ00EL25eTR0wRkpJH2CkyAwhGKRKmlwMeDepccSeSW69CadDKPGfCLBfAo0E3kxVk0KBBbED26dOnnVZgX7duHTp16oS1a9fyzmXJkiXs38yK0sLryFwjKRcHMbkAoG3btuw2MYVFbgCwefNmp5XNjx8/jjZt2rD1S1mt586di7t37yIrKwtJSUlOfrViMQVCZs6cqWpQK/Z3fn4+Lzivf//+6Nu3L7744gv2+bYCV69exZQpUxQHaWL7hc/jiRMncPXqVaSkpGgaIBw7doy1fl66dIk36FcatHPjWXJzc1mlTczqzsikdrVqJYuq3OBMLXPnzsV3332n6RiHw6FaIRHOAIu9b/fu3ePNxjD9kdyM0NSpU522LV26lJe5TC6zjtYBpNEL7jEwqZiFtGzZ0mnbpEmTcPbsWeTn5+PTTz91aufs2bP47bffAPwv+JhrfDNy0Dx69GhN5V966SVNBok9e/aw30kjXMKsgCFKgdVPknAdKf9I4H/Tn19//TUWLFgg6795+fJl2Gw25Ofnq17pMTs7mzdYl0uxKJXfm3EJkso+Eh8fj+joaKegYTEcDgcGDBig6A61bNkyp4+1cMAnDGJTs9gMw6pVqyTlU0IqQByQ/7B88cUXGDFiBABx63WnTp14Ad5Gojbzy5w5c2T3nzt3jn0eUlJSnK4jM6Ngt9t515Lrk8981JkgReE1F7qFqYG57lozKm3atMlpqpyZcWIGLlIDbO7CSnv27FEMgNaaOYQrD2NV5NYxadIkp5mtOnXqYMqUKUhKSsLXX39tWGCe0ntx9uxZRfc5YR1ct66CggJVazBMnToVc+fOxbhx49h+Te039NKlS6KzP0pBksJ7xCjfUvfuwYMH6NKli6iRRmm9DC0xOGrPm1GitCLmbsisyyLnB65GyWUU8QEDBkiWE0vDumXLFt77KJcpTk4OV9YfYVCrRIitMdG7d28AwI4dO9htDocDS5cuxdmzZxEZGcmbxWaYO3eubApas8eTajwBmNTRVltTxwhcVgqCg4PRq1cvTYMZwndRshIz/n65ubmYNWuWqo9ox44dedulOsP4+HjJuuSClx0OBxsYKRZs6nA4RD+OSp3X8uXLneoTBvhyg0cBbUqBkUjlzheyceNG0RWMudy4cUOVT71WtH4sTp06xVrKtQS9MjLm5+erbvP06dO68k9zB8RGuiTIMWnSJADOLj7M8dztYoG0etzIjh8/zlrMuS4HUvelWLFi+PDDD/H6669jxIgRqpR1JeTiQ7Zs2YKePXvi1q1bePfdd3H37l1V15MbOzF//nzZ54y5TmLZbMQycAktj8zxYj7oQkVB6Z4wC+rpmdEV89XmWsuF/bNRgzwlVzixWS3mPMXKLly4UJMCYyRGBKWuXLnSaZue/lVNvyUmB+MyKJbClnkexGY9xWaYvQHuNWAMFWLXWyku0GylR4kirlZQsmRJVVllCNeJiYlxGjRGRUUhKirKJIn4iC0Gw7wA3Cl07kuRmZmJkJAQ2XrVWgq1ThVyZeR+dMVo1aoV+zcj/9tvvy1bv9Vffi5LlizB0KFDcejQIZQuXVq2rLvOS8kFQmsudK7VW08Au5oc6YxcatPoCp8xIwLrGbgDIGZxNzEYdw5hJi3mXLlpK999911emZUrV6J79+6889Ca4URLUG14eDgmT56M6dOnY8eOHRg8eDBKliypqT01MBmqrl27huPHjyMzM5OXEpd55j2xWB4D15q6cuVK2cEG4wZ048YNxfgULsz5cI/JycmRHSzLBcYCcFrDQs+aK0KE372LFy8iKSlJ1L1TC3rXgJBLbakGtS6W7nYfstlskoqTWjnEDEBysxje8F1MSUnBf/7zH8Vy3G8SM8PbqVMnUeMig9XP32WlgPAccXFxCAoKMlsMWYQvA/MCcH0L1SLWwTEzC3IByWoRpgFU+4FQ+1KLBZzKtXHz5k3erIiYvyYXpTRtYtmQ1ARPKbnpuKtT++ijj5y2qbm3V65cQWhoqK425c5l2rRpePHFF522M+5TDFrW1RBa3rluRtxzPXHiBCpUqICKFSs67ZOC8YVVe39cCZg3CjXvXEBAAIYOHYqEhAQMGzYM/fv31xSnpAXmmsgN2iIiInj92bFjx1CnTh3FurkW0tOnT8su/AjwFRDG5UWJhQsXsv7aamBm/T777DN22/fff88zgmhFaMQxYgVX4fP/xhtv4MGDBzylQDhQl7uHWjJDibFnzx6XjlerFIi531gNsTSgcn3QyZMnUbx4ccn9Vhk0c70Ytm3b5vTM2O12yTTPzDkIVzoGHo0LlIyQZmKYUnD79m1cvXoVVatWRdmyZdntaWlpWLRoES5cuIDHHnsMvXr1Qu3atY1qlrAAzMOdnZ3NfuSZAatwkSMh586dQ4kSJVS3xcQEyAWkaiUxMVE2PkBsbQIlMjMzRT+GUusDAM4DJFdX3FXrEqQVVzptd3SEXbp0UVzBmflwCX1Av/rqK6ey3A+22Md769atesSURMz6PGLECLz66qsYOHAgBg4cKJvdQs2HWAype6HkUuFwOFxem4JBi1tQREQE6tati6lTp2LHjh346KOPEBAQYIgcQoTXUujmOHnyZPZvsWBSMbjXTGwVcyPQohBs2rSJTQcs7Hv0pFd2F3r7m+joaN11ujsVqJ41PDyBllkmBjUuhkK8wRefG4T/2WefoUqVKrz9asYgUv3b3bt3FWfkzcIwB+YVK1bgiy++4A2EcnJyMGLECOzZsweXL1/GkSNHMHr0aFEfNML6SFmQGXcEsY5UKS95YmIiL6MDg9SHVuiPaIRVYdWqVbKWH+EKv2raZCzMv/76q2vC6WD9+vUAnDMdKaE2kE9tyk0jEMsnLYbSDAiTXlXNveMOwD1htRKmluS2GxERgaNHj8pmxGDcnBi51SpewpVVmTbFfMa5LF++XNOqrEZSokQJjBw5Es899xyGDBmi6MqiFalBkVIGHb2DPDOthaNGjTJ84UCjYa6PnuvkiuLVvn17zcd4eqArdk1cfZ70zIBwZxwZxdeVftPsmQLGSMNcSyaQWvg9dWUGzKqzBICBSsGJEycQGhrKm8bfunUrbt++jZYtW2LWrFno378/Hjx4oCrnNmE9mNzEUqSnpzu90HrzjS9cuFBUoRDWb8QCI0Z1Qg6HQ9Tqq3bq32x3ju7du5vaviuozUykFU98oBhlTG+Wnd27d/PWp9Ars9L7bSWeffZZxMbGYvXq1Zg2bZpu33CA/4FmAn65GVUA+XUX1K4FwcXTAx8rD0LkYK6TN8gvlqHHnbjjmkjNAEqt3A08yvbGJPnwBaVg5MiRPDmkxqty11/pHKz8PBumFNy8eROVKlXibTt8+DD8/f0xYMAAVKlSBZ07d8bjjz9u2KqkhGfR4tesFq3ZdoQvW0FBgcsvmFRHqHUq9e+//xZNJ/nnn3+qOl4qnWphRalj5fqVu6uTNcpNRg3cgF2Hw4HTp097rG1vJDg4GGPGjEF4eDiGDBmimBVLS0pL4QyVkjuNVqVUKsWpu+AGj4tx4sQJj8hhFGYbUHwVqedRaUZp/PjxAJzjrbwRph9RypLkLhdAszFMKcjJyUFgYCD7m/mo1apVC6VKlWK3h4aGWtafjpBHyRVID64O5vr06eNyWjmpaV9h5hUGqY5TKnjNylYBT+OulWrdNajxpNVq7NixvN96/bq1Zmnydlq3bo1x48Zh8eLFmD17tqRV05XZBCWs7oZjVZTer6SkJGRkZDgtyMi4qroa8OvNGPFdEdbB3I8vvviCt11thjHmW+yKMcXsmQK1CBe84+LNSqthSkH58uV5g7MzZ84gOzsb4eHhvHIFBQUoUoSSHnkjTKYUVz+u3MBdrekMxax9SqlBlZDqhKRS6QljDJQgJVgfWj4Oale/1epuZtYHirvCp1a0ZEPyFcqUKYPvvvsOYWFhGDx4sKb7bKbSzsS6ENLs27dP8jsxZMgQD0tjbfSkJOXCDOaFcUVav9PeMrB3F3qSk1gFw5SCp556CsnJyThw4ACys7Px+++/w2azoVmzZrxyly9fRvny5Y1qljABI6cIhTmtvYGff/5ZdDu5xRmLO1x3tGYOUlq1mrAONpsN7dq1w9ixYzFnzhzMnz/f8ha7wh5fV9gHj0bjqlKg131IGHTrS/dVz7korTZtZe8Bw5SC7t27o2jRohg/fjx69eqFQ4cOoX79+qhbty5bJj09HZcvX6aUpF4OdyEyV7FC52EFGQhnjMhvLkRuylcMb/QbLezPc0hICCZMmIBy5crh008/NWTxLIKwGp4MNPYkVuu/9My8Ks1cG5lS3WgM8+OpVq0aJkyYgLVr1+Lu3buoVasWXnvtNV6Zo0eP4vHHH0dkZKRRzRJejquLyBiBXGYFonBjtQ+UGjy56q4SdrtdczIBI7DZbOjcuTOaNWuGiRMnolmzZppjgQjC6rjaPwnfTW59TCYuPXhjvymFO7JK6VkPwlMY6txfq1Yt2ZVrX3nlFZeXJScIgvAUVrCceTPbt28XXRXaU1SqVAmTJk3CypUrJYNSuYsUEYS3YMQ6BVIxBYBzWl4teHNKUk9QKNyHCIIgfI3C8IFyJ1aYtfDz80N0dDQGDRpktiiEAHq/jMVdMQVaWbBgge5jC8MzYWWlgNIAeRExMTFO031RUVGIiooySSKC8G2U8rsT8ljpA1+1alWzRSAEWOn58DauXLmi6/o5HA52UCo8nu6HZ7DydSalwIuIi4tDUFCQ2WIQBEGowkruV1a2zhGEVvQmYmCUgvz8fJw/f563zwrvq5UHzIUBch8iCIIg3IIVBhkMpBQQvoaeATTzTopl5aIBuWfQugK6JyGlgCAIgnALNMggCPchXGTMVeh99QyuLE7pblxWCjIzM7169TaCIAjCPdAggyDcx7hx4zQfw7yTYu+mFd5XK8hQmHFZKcjOzsa2bdssNU1MEITnSUtLM1sEwmLQd4GQgwaA+rHZbChSRHtYKPNOiq32TfeDIPchQhLqIAgtHDt2zGwRCILwIugbo5+cnBwULVqUt23q1KmKxzHXfO/evU77rKDEnzt3zmwRCjWkFBAEYQj0gSeEpKammi0CCwUaE77EuXPnnGYKjh49qvp4sUBjK3Dr1i3RWQxfwsp9kdelJM3OzsayZcuQkpKClJQU3L17F7169ULv3r1VHZ+Tk4PFixdjz549yMrKQmhoKLp164aWLVt6pKyWOs3m8uXLZotAeBGkFBBCli5dio8//thsMQBY+0NMEHpwxX3o0qVLTvusMBi32+04e/as2WK4FSt/K71OKcjKysLGjRsRFhaGyMhIbNq0SdPx48aNw5kzZ/DWW2+hatWq2LlzJ2JjY2G329G6dWu3l9VSp9k8fPjQbBEIL8LKHR1hDrm5uWaLQFiUzZs348qVK2aL4dX4+/trPiY/Px+jRo2ybErScuXK6VJ2vIlDhw6ZLYIkXnflH3vsMSxZsgQ2mw2ZmZmalIKEhAQcO3YMw4YNQ6tWrQAADRo0QEZGBubNm4cWLVqwL5k7ymqp0wpYoYMgvAd6XgiCUMvIkSPNFsHr0TN4/v3337F//35kZWU57bNCH7548WIMHTrUbDHcSk5OjtkiSOJ1MQU2m033NPD+/fsRGBiI559/nre9bdu2uHXrFpKTk91aVkudBEEQhHH4+Xnd544gZNGjFBw+fBhPPvmk6D4rBBoXFBT4/LtqBeVLCkOuvJVPkMvFixcRGhrqZI0PCwtj97uzrJY6xcjOzlb1j9x+CIIgCMK30aMUfPzxx7h27RoqVarktO/06dOix1SoUEFzO3o5ePAgZs2a5bH2zMDKY2aX3YeCg4PRq1cvr9DssrKyRF+E4OBgdr87y2qpU4x+/frJ7mfQEnhNEEZh5Y6OmxXG1wAAIABJREFUIAjC19CjFNSvXx95eXkoU6aM6mM83bcfOHDAo+15mrp165otgiQuKwUlS5ZEr169jJCFUGDevHkICgpSLCfMXawXsY7g3r17htRN+B6kFBBWhrIPEb6G3oDcgoICSwfzZmZmmi2CW2G8Q6yIdZ8KNxAcHCxqjWe2MRZ7d5XVUqcYQUFBqpQCoxAb5HXr1s1j7RPeBSkFBEEQnkPvwN7hcGg6lvp2Y7GygcJwn5+CggLs378fCxcuxE8//YTNmzez+27evInz58+blgs3LCwMV65ccWqf8eWvUaOGW8tqqdOq3Lx502wRCIIgNBMeHm62CARhKHqVArvdbumZAl/HytfeUKUgMTER/fv3xw8//IAVK1Zg8+bNSEpKYvcfP34cQ4YMMc1fLDIyEjk5Odi3bx9v+9atW1GuXDnUrl3brWW11GkFxKwDZDEgpKBng7AyxYoVM1sEgjAUUgq8kwsXLpgtgiSGPRUXLlzA2LFjYbfb0alTJ9StWxcTJkzglWnevDlmzZqFffv24bnnntPdVkJCAnJzc9lcr5cuXcLevXsBAE2aNEFAQAASExMxevRo9OzZk415iIiIQKNGjTBjxgxkZ2ejcuXK2LVrF44ePYqhQ4fysgK5o6yWOq1AQECA2SIQBEEQBCGC3jGDVqXAyu4u3ki7du3MFkESw5SCpUuX4uHDh/jmm2/QsGFD0TIBAQEIDQ1FSkqKS23NnDkTGRkZ7O+9e/eySsHcuXPZwazdbneyXo4aNQqLFi3Cr7/+iqysLISGhmL48OFo2bKlUzvuKKulTrMhyy+hBXpeCIIgPIferI8OhwP16tVTvbIu9e3GUq1aNbNFkMQwpeDEiRN46qmnJBUChgoVKuDYsWMutfXzzz8rlgkPD8e6deuctgcGBmLgwIEYOHCgYh3uKKulTrOhjoBQy9GjR+l5IUQxK4aMIHyd48eP6zrObrejePHiBktD+AKGxRRkZ2ejfPnyiuUePnxoiVXzCGVokEeoZebMmfS8EKL8/vvvZotAED6JXjdsu93uFWtLEZ7HsKeibNmyuHLlimK5ixcvenR1PEI/pLwRanE4HLh//77ZYhAW5O7du2aLQBA+yZgxY3Qdp0YpaNGiha669dC8eXOPtWUFrByjYZhS8Mwzz+DSpUvYv3+/ZJktW7bg+vXraNq0qVHNEm6ELL+EFOvXr3faNnXqVKdtFStW9IQ4hIWxSj9i5Q8xQXgSh8OhqBSUKFGCV96dFDZDsVX6RDEMUwq6d++OgIAAxMbGYvHixThz5gwAIDc3FxcvXsSyZcswc+ZMBAcHo0uXLkY1S7gRKz+4hLlUqlRJVTmabSLU0qhRI7fWX6pUKbfWTxDehJJSULJkSQ9J4t0Ku6+ldjXsbB577DF89dVXmDBhAn7//XcsX74cNpuNzQzkcDhQunRpjBo1CmXLljWq2UJFTEyM04scFRWFqKgot7RHAzpCLVLJA0ixJG7cuGG2CAC8e+BBEEajZabA3Xjzu9m4cWPVWZwYrHy+hqo49erVw6xZs7B582YcO3YMGRkZsNvtCAkJQcOGDdG+fXuPap++RlxcHIKCgjzWHg3oCFeReoZKlSpFvuaFhNWrV6sqR/0NQXgOTyoFYWFhll6wyxWio6M1KwVW7usMn/cICgrCq6++ildffdXoqgkPwzy4ixYtwptvvmmyNIQ3ItX5vfLKK1i2bJmHpSE8RVBQELKzs80WgyAICTwZU9ClSxdMmTJFcn/VqlVdqt9MrGz11wPlpCIkYdyH6tata7IkhLci5YJmhRzZNWvWtNwq4r6CHtdDK1vPCMLX8ORMgVJbXbt2NawtT6On37KyIkFKAUFIEBgYaLYIXo/D4cC7775rthiitGrVyusHomoWcjQDikcivJXg4GCzRfAISgNTI129lfoDKw+SCxu6lYLs7Gzk5eW51HheXh5NMVsY7osszAxiFfewZs2aSe7r0KGDS3X/3//9n0vHE48QsxJZ4SNgs9lQtGhRs8VwiYYNG+LFF180WwwnSCnQzxtvvGG2CIp8+eWXZosgySuvvOLS8Vbom9Tg6uJjSrOkTz/9NPu3q8YT6g/4VKtWzWwRJNH9VPXq1QuzZs1yqfEZM2agV69eLtVBuA/ui/zCCy+YKIln8cRHoV69em5vwwpILZJjBQu9zWbziUxoSufw/vvve0iS/6FnEOCJxZLWrFnj9jZcxRtmKK28/oirbi+FRSlQOp67dkCVKlVcaotmCvg89thjZosgie6nyuFwWOLDTrgPbiyBkS+tv78/WrZsiZ07dxpWpysIZxukcvCHhYVh9OjRANRNrcpZYoYPH65BQvNgAsCWLl2q63i73e7Ss7N8+XLdx7qbHj16mC2CKsz44OqxhLVp08YNkvApV66cpvIvvfSSmySRhnu/rBqA6YlnSu8sXmEZYLpbKeBeR7Xr0kjx/PPPu3S8lXnyySedtrl6vczEpexDSUlJ+O9//+vS8YR14QaDutoBcbHZbIiLizOsPleJiYlBz549nbbLfVzULFgipjSXL18eN2/eVFSomzdvjn379im24SnEFn5q2rQpDh8+LHvc4sWLERQUpDirWLNmTaSkpDhtDwsLA/DIirx7927ZOl5++WVs2rTJaTtzzcXqccWwUb9+fUtkUDLTOCN135YtW4bIyEhNdZUuXdoosSTRMtBs3749vv32W2zevFlzOyVLlsS9e/d0HWck7733nuS7N3r0aHz33Xe66jXyeyCFv78/Hj58qPk4V5UCb1Eq3K0UcHH1mjCzmZUqVUJaWprh9ZtF8eLFERoaCgB4/fXXsXLlSgDA+vXrERERYaZounHpqUpNTcXWrVt1/xN7OAjfR64DqF69umF1AepWSX3iiSd4v+vUqSNaN/e31OCicePG7N9yg7VixYopyuUOtLom2Gw2VK1aVXS68/XXX1c8vlq1aqoGOpUrV5ZsHwBCQkIkj23atKli/Qy1atVira9aPkRt27Z12mblKWAuYufZvHlzyfIBAQGy9XFjdaTiGYoUKaLpXS5fvjzKlCmjurxetKw+GhwcrGuw8uSTT6Jfv36ajwOAWbNmGaLkMe27S9HyxCBO73VwdbDsqQHqggULXDr+mWeecel4TygFwll4M2bePMWzzz5rtgiGoHum4PvvvzdSDsLLcKXjlDu2T58+GDdunO661bYjxxNPPIHt27c7uf8I66tUqRKysrJw//590XratWuH+Ph4VK9eHVWrVsX+/fvZfU899ZSiHAEBAXjw4IEm2bt27YpVq1ZJ7tf6ofXz80NBQYHovoiICNSvXx8nTpzQVKcY1atXx969e3Udy1XQAgMDkZOTI1pu2rRpSEhIYO+jzWZTfT3ElEBvUQrElCY5i3lMTIzsO9ilSxf8+eefiu1++eWXGDBggOT+zz//HIsXL8aVK1c8HvBdu3ZtJCcnu6VuMSVYzmLPhVFaKlasiPT0dN0yMM+4u2aR9Ay827Vrh40bNxoqR2RkJA4cOMDbdvToUd31lS9f3lClICIiAgkJCaL7xGZftSCW1nnEiBGYMGGCquO1nKfwOQoODkZWVpbicW3atMGhQ4d4fa4UISEhlln9vDCjW6UODw837B9hfYQvc/369Xm/GQs0d4GSFStWYM+ePYp1uYvnnnsOL7/8suryjKVy0KBB2LJlC2rWrImvv/6aV4bbOXbu3NkpLoK7nwnOGj16NGux0/KR1ur/DABffPGF5mPkqFWrlqTMZcqUMTw4dNKkSaLbg4KCVF0PsQHZkCFDADyy5DgcDt7zZ/SgiZmF2LFjB7vNEwG0cjNPwncVcM2a6qr1OSYmBgDQrVs3dobI0+tWfPLJJ26rW2yGsX///ppnQfUgbIORhUlsULFiRUMyx+npw1977TWX2mDiubiIPceuKHsbN24UnRXUi1z/4o7v4HPPPae6rCtrtMTHx8vu16P8iSVMEJvpl5pVVkOHDh3QoEED3cfL4a0uUEJonQJCFcIH/oUXXmBfrkmTJrG+39yAImabUl0MU6ZM4WW1YMrJ5WKXqqtp06Z4+eWX0b17d8ljhXB9h8uUKQObzYaOHTsqtiWEydTk5+eHN998k+dSpBaHw2FoMLKUC4/SStVhYWHsh23u3LmGySOF1DV+4YUXsHbtWtF9zMDAZrMpuspwlYIiRYq4bKEWDpAHDx4MgD9IN3IRIDEcDgdq1qyp6RjGjWr58uXsM8Ao9HLPeatWrXjnrGfQ07t3b9aNgCnj6TSccnK7GiQoNHQtWrQIAPDHH39oqmfWrFmsv7JahO4aYsqW3GCwSpUqqgaWWgdA/fr1Q5MmTTQdI0TM9atWrVqa61Ga4RPrE6Kjo3m/1T4jno73UXKP4/b3agwDnTt3xuOPP+50v5UUCikl39/fX5MLKzcDEoOSe6MSRg3ehw0b5pZ6zYaUAi8iJiYGH3zwAe/fhg0bPNK20F+uRIkS+OWXXwAArVu3xsyZM1XXJffy1KhRw2lbw4YNUb58eXTu3Nlpn1SnKyWP3OBD6aVW89I7HA6207PZbOwgsUuXLpo/8EastssM5KVkV7Iaco9r1KiRk0x6PsqA9H1j2mvZsqXTduZjIBxkC89NuD6F1Lm/8cYbmD9/vmqZxdi6dSv79/Dhw9G4cWN8/vnn7LYlS5bI+u9zEQ6ahOtkyC2qZLPZNKUe7dmzJ9asWYPHH3+c3Va+fHkAzteey48//qhaKZBj/PjxAP53bzwdYyMnt9I5cfO3C+nRowc+/vhjOBwO3e4hTPsRERGaYiAA52e9Ro0arGHj22+/5ZURO89PPvlE1UyQ2GBNjkGDBmkqL4bwuWzQoIHsMy+0CDOzeOXLl1fl/sZFeK2mT5+u6zgjEevXlJ4X7myrGqUgICBA8zNYokQJSSOUlOGG2acGplzt2rU1yaWlDXeg91vpaUgp8CLi4uIwY8YM3r+oqCi3tsmkolSyjJQsWVI0S4fYSzh06FDJeridKPdYf39/0dzYYvW3b99esn7hFPZff/0lWVasLa58Yh2+0D2FISIiAi1atND0kZDrwJTyRjNWSeEHXs9HinuMcDDQunVrxeO1dMRMWTlXA0bp6t+/P4D/KU/VqlWDzWZzspZKtR8QEMD7SLZq1Uq1nGL06NEDZcqUQbdu3dhtTz75pGrL1uzZs3m/hdPpP/74o+iHkLk/rn50mHq0WPK0Bq4LreVmfaT1KAXM/RC6Y3H7Rk9k5VGDzWbDnj170KBBA3ZQ5+qiXly0zn5pHVgCzs+GUCn+5ZdfZJVJ4X1kZl4dDofsbIEw8YQrSD1L7lqfSek6c+PD1Bq5tFClShV2pkXropVibkHc9hnXWD3PklAGI9bZKFKkiOjz5+1r31ijByMsC9NBqulAxF6G4sWLO73EXbp0cSr3yiuvIDQ01KkT2rJlC+831+oq5VsoFRgrBmMdlWPGjBkAHrlGMfJJXQ+uUiBWRm0n63A4ZAcYSj7YzECZsQTrHXwJj3NXDBBj3VeSs3r16myZ9957j3cMc706duwo6TMupbQBj1wchG4C3HqFcD8IctmRmHsuHPRL8dVXX8nWxQz+uZZooQVOzP9aCmaQy8gp9oxKzVrJfaDFrrOUz7unkRrURkREOJ1/8+bN0aJFC/Y6CS3Q7dq1c6pH73mFhoa6dE24z2pAQIBTXRUqVGCfm+LFi4tmfHI4HC4tVlW3bl3N8QOdOnUSlYOL0nVhrNPCmRxmhpYZrCplwBEztAllURvvJbVol7vy2GtRCtTG8YhZ94sUKYJvvvlGtKzwtzDuTkrGiRMnOm0T64sY9zZhW2riB41U2jt37owVK1awv4XffU/HSRkFKQWELpgHXyqzAhc10+jffvstz3+dQfjRUmN1zc/PVywjxeLFi522MZbnDz/8EHXq1BF1QeL6dMspBXIfNmFQs9x1Y6xmUosbcTu/HTt2wGazsYqXEKVpWO49GT9+vFO2Dy0w2WhsNhtvgStmoTylD7+YssQMWJ999lm8/fbbAB5lsWIQBhZLtVG6dGmMGDHCaXvDhg15xxQrVgz79+/nWZsYBYXbjhApn2ru9d+1a5doGabOgoIC9nnctm0bbz934M58eJn0ukK458MEQssprFLuEq4GUjIpb9XMOBkJN4BxwIABKFeuHJo0aYIpU6awrofMMzl16lRWVsBZQeIGkjP3Uq/biFL/9tFHH8nut9lssoGYc+bMYd/Bdu3aYfXq1QCcFVFm0MrU9dlnn/H2azG8qEFrbI8wFuqPP/5gFRlmppi5X0yiAYa33npLsf5JkybxUoZy72fRokVlXfm4REVFoVevXk7vgrvcirQoBa765oshlsShRIkSvO1BQUGix8q5yzZr1oxV5phyzLmKrTEkRVRUFDtTwF2cVQgTFyiEyeRWo0YNFCtWjGdUFN5jvdn0zIaUAkIVrlivuO48YpZ5bmeg1FlyB4RSAzzhAI2L0nlIDaL+85//AHiUxePTTz/l7ZMaVIu1JWep4AZmyw3UK1SowOaolrpeRYsWZTslxoJWq1Yt0Y6XcTESut0A+vxWpepo0qQJGjZsKCu3kiWna9euPJ99bv3h4eGspV+qHjmlQOm8GAWYO0VuBNz0zlIfTAa73S758RS62wH8mTXubIZQyTl48CBr1dQy7e9wOFxacMtms6F27dqGL9qlhaioKDRq1AjFihVDQEAA+x5yY5iY5/Xw4cM8WevVq8ebdeBeJzNmQZT6z2LFirEzXP7+/uy5cJ997jvCuIdxEzZMnjxZ1AIu1+8qofVaMbFaDMwMVHR0NHr37o01a9a4lKihdevWbMYmIVLWfzFKliwpmnDDXc+7FqVAj9VcLt4IeHQfuMYPV98B5nn+6KOPnK4Z08fJDe4BfkBw0aJFUbNmTURGRiI2NlbyGKnryMRCqY0TY9Ba3kxIKSBU4crLzVgBq1SpIpqqjDttGBISIurCwaVZs2aiMxSMxUDOt1qvhUYusEyPz7wYXNk++eQTXlnGgt2mTRs8+eSTaNOmjWQ9+/fvR0hICG/68plnnuG5BMyZM8fpOMZNikufPn10ZR0Sy8k+e/ZsXiC53EyK1AxI3759nVJ8Sg2SmcBKtR8/vanuihcv7tQG914WK1ZM8b5zp75r1Kjh5JLy3nvvoVatWrDb7ZLnw93+0ksvOfm7Mvvj4+OdZqH8/f3ZwU5gYCB69+4tKa/YzIswE4ewnFxdZq7IzEVJDjE3irFjx4qW9ff3ZwcWWs9PGLfEnUVRI6MeuMfZ7Xb2t5gbXosWLURnCoyMWXCVqlWrSvYhemEMRsx7smXLFsyePZs1dIghNmtcqlQpQzKSibnhivUNTz75JPs3V6HRoxQorYHw8ssvs2W4z2qZMmV4q7+rDfR2OBxo3ry5aHA/EwOm5NIrTJIycuRIDBw4UFX7DK+99hrPGCi3OCHXdbNx48aw2Wxo0qQJb2bcyhimFGhZaOXQoUNGNUt4CHdavbh1lyxZEiNGjJDNJSxntTSD4OBgtpOXCpQGHk3Jh4eHY8mSJaL1COXn/mbck6TOvUOHDqy1TMyKPWnSJN7Akxsgyq2TUdAYF4qSJUvqGiy7usQ7NyuOElIWyldeeQWbN29GUFAQG1AuNlMgVDCZsoxViDlOijVr1sgOiJ577jmn2Bgh3MXCGjZs6LQ4ZHR0NMqUKYMZM2ZIfpDq16/PuoYUKVKE5/ccExPDBldKxT9wBwzMjIWa4GubzaZpCl94rBbLq9G0bdsWVapUMbx/i46Oxq+//qr7eOGMA6OYSz2H3OBYYZnWrVsr+vgLFT1mwMhNMc1F6Z5xZZCLkWEwI0CbUdqYhAVycPsN5tzKlCmDJk2ayKbMFmPt2rV48cUXJZ85tQqD2sQCSpnetKAks3C2kqsUceWVCvQWC/IWa7NixYpOrrBi5/nVV1+pmr2TiwmrXr06Ro0axXMbFospsdls2L9/P282JSIiAiEhIejbt6/szISVMOxNHDx4sJOPq5C8vDzMmDGDVkP2Qjw9Fa4mq5LD4WBjDnbt2uXyCpF6mTx5MqZMmYLJkyfLBhq/8cYbiI2N5VluuDAfRrlVYKUoWbKkrsAmPz8/XmfKzEAoTckahTCloJ7nTC7VKxP8riWFIqMwMdegoKCANxshlDEkJETWncjPz88pC5TWdHrMs1GpUiUnf2bm/gUHBzstvMTI2qNHD8yZMwc9evSQbENsoMcod9xnSykDl7BtOcyeKfjhhx9EB6TcxeekqF69OipUqCB6ngEBAbIDDa00atQI5cqVkxyMyw1Mn3/+ecXUw9xr8OKLL/KUXKUV5n/++WfZmUuuG5aU8iwWK8G9rn379mX/lnJh0fochYeHo0OHDqrcnt566y1NwftcatWqxfuelShRAn5+fqhYsaJmi7UepJ4Z7j13Nf31+vXrnepZs2aNU3poJcQMY2LBy3K/uTRq1EiVUUvu2eE+20r9nfA7EBISgho1aojOMloVw5SChw8f4r///S8mTpyIe/fuOe0/e/YsBg8ejPj4eEPSQRHmouUBZ14ksYHZvHnz2OAdPTBTxEFBQShVqpTmgbER0+2BgYEoXbo0m3JULtBYiq1bt6JevXqYP3++ITm9pWAyRjD3xOgsGEo+8ULeffddnquK3vuxfPlyVeXkYgoYgoKCeOtcML7mRqJmYB0SEsKmLlSSWWjFFOLv749ixYrJ+llzBw+9e/fGrFmz0LVrV+zevZvnX601K4wcZcuWdXmFZHegxue7f//+KFGiBHs9BgwY4FZlWs11LlKkiK4BCHeA2LZtW142ILGsLpUrV2bXyGnYsKFo5hgp+cSQs45Xq1aN58YUFxcnWVbreatVJEJDQ/HUU0/JluH6jXOVykaNGmHMmDFOiQaKFCkiOhNj9OBRSingtuPqTE1wcDA2bNjw/+3deXxM9/4/8Ff2fZEQCQlDCLLRNFFb7LQae0MSza2qWtrbhdhTtXRRrd4QlPi6pa2tdqWtUrRyY/dDUEHtuyCWkJBtfn94zHQms53ZcmYyr+fj4fGQcz7nnM+cz5wz530+G7p06SJfFhgYqPJ7rOl8a2pq5+npqXQtbt++XWdeFH/T6tatCycnJ/z73//Wuo22vhi6Ovdr069fP73mcLIEJgsK5syZA4lEgpycHLz//vs4fvy4fN3atWsxfvx4XL9+HV27dpWP5kC2Rd3FERUVJWiscyEPc1XphRdeUNtGUDGfugIUxYd/Hx8f2NnZKY2B7uXlBX9/f0EjPAk9P40aNcKBAwfkN19Zu3Ndw/QJpas/iDppaWny/xv64yS0uZHsc8vebKljb2+PuLg4+fmcNWuWUsdGIedZ18OGbH1ERITGh2JPT0/5nB6GfPcVq++FUHx48Pb2RmxsLFxdXeHm5gY7Ozv597ByQKNYG6GviRMnIj09Xe/tTEHxuho1apRKB3ZFmuYkUTRixAi1TTr0Lbv4+HiDagunTp2Krl27CnrQ/eGHH/TePwDMnz8fwD9jvSs2BTa0T4420dHRShMMGjPztT5vmLXR9OJD8fdAXVApG5LYVL9jQvejabQlBwcHeT8JUzTJrV27tkEDMBw+fFj+0qXy8SZOnKhUQ6PYbEcxreIgGUKbcynWuOrqQC3j6emp1ySR1lRDIGOyoCAkJAQZGRno378/CgoK8PHHH2Px4sWYOHEili1bBjc3N0yaNAkffPCBWYbCIsvxn//8R+1yc81aKuShWdbe3lQX6GeffaaxalR2DF0PyLp++IODg1U6ZsfFxaFly5byalpDml44ODgIGuXJVCMmqBsVR0haIctzcnIMyo8+NSReXl5KgauQuS2E+v777wU1MxHaQV3Rt99+K2j4RV370ZZOsVNqv379BB9LxsnJqcpnM1YnKChI54zj+n43gefBp7o3zNpq1CIjI9U299HV1KpXr14qE6tpothxc8SIEfI8Kn6WefPmqWzXqlUrpb8Vg3hz9AtwdnZWCporj/ymqFatWkppdd3rDbl39u3bV2Nb/sr7i46O1jpJWuVthIyzr0job5mmDtd2dnaYPXu2yY4jhLe3t173T1dXV5XnxcjISL07tcvOreL14eHhofZ7r0g2ZK+Mk5MThg4dqjattT38a2LSq9jBwQFvvvkmPvvsM7i5ueHnn39GXl4emjdvjvnz56v0AqfqqXLnxDp16qid4EdMlW+Gim+jjFF5PGtTS0xMRGpqKpo0aSLvEPvWW2/pvR9dTUDs7e3NUqMXEBCAnTt3alyv741V3xcMEolE41CDQgl50Nb2gPTzzz/r3cyt8v4U21gD6s9bzZo19ZpxOCAgQFBTPhcXF6xZswaA9hqqyssXL14sOC+WZuDAgXjttdf03i4wMFDlPPTt21dnAKLO119/rbNvgCGGDRuGkJAQtG3bVmmEMkv4vdbnwf0///mP2ge2Vq1aYdmyZWjevLlKDYmsbBwcHIweHAF4fs3JHiSXLFmiNB+GLpruGepGGdKHtj4FQgMnY2dLl0lJSVE78l3l42nTtm1blSY948ePx7vvvquStvJodpXPsbrP36FDB/lyfa5TBgUaFBUVYfv27SgqKoJUKoVUKsW1a9dw5coVUx+KrERQUJDJOpcbOySfbPvKw1oKfcOmS1U1c7Kzs5P30TDkeIrn0cvLy2TjZqt7A2pnZ6fUZlhTc5kBAwZonV/AFAYMGICPP/7YqH0IeSOq7aFf334cQUFBKjUsim2sTXVuQkNDBbV/tbOzUztZn8yhQ4fULpfNrWGN2rZtq/KQrDi8rr6EXrOKZRsZGSl/86xuBmBD9q8oMzPT6D4RukbZAlRnhDYVJycntW3DXV1d0axZM7i4uKgd2hJ4PrqbPiOeqSO79xsS8GljbJ8bTZ9LSFAAPP8uCRmhSQgHBwf5vVHdd8XQkcgkEon8vEulUsTExBicR00tHUxB3z53YjBpUHDy5Em8//772L0adO/KAAAgAElEQVR7Nxo2bIi5c+ciMTERBQUFmDJlCv773/+itLTUlIe0KWlpaXj33XeV/sk6e1U1cz/4hoaGomfPnvK/hw0bJm/OIjv2pEmTlCZG08bUN2ptzHFu6tevL5+t1xTq1Kkjb+7xySefqB1n3hDq3mQ6ODioTHWvzoQJEwSfO3VNG4whtBnSlClT9B45yFhbtmzRWesk1lsqdQGJLC/VvZmo7EVCSEgIvv76a8HbNWnSROPs1kIpvtSYPXu2XjVC5qQ4A70hI9po60SsL336/oh9/UycONHoGkxN/P39NfZ1MeZzi/1m3BSjDWp6fjDkRYuQ86E4S7al0m9qUi2+//57bNy4EVKpFP3790dqaiocHR0hkUjw4osvIiMjA1u2bEFubi7GjBkDiURiqkPbjIyMDKuINE2hRYsWSlWv6sbZ1jSGtjqzZ8+Wz0oso+mtkTHMNbxizZo1jRoFQd3+PvroIwCmfXhTfBAYNWqU3tsL/aExddMGoedAcXhFY5jyezJw4EC1I75VBW01Y4q1CdWZi4uL0gRjuvTv3x8ODg5YuXKlwcfs3Lkz+vfvjw0bNqjUen799dcm7fciY4oJt/Rhb28vKLAwNMAScq+Jj49Xag4ra/2gTpcuXVT6XFSmqf9bYmKixloWTX1u9Hkob9asGc6fP6+0rPI8AkLY2dnJm5iZ47dOn31qa+o4dOhQHDlyROc+UlNTMWfOHMHHNFZwcHCVHs8QJgsK1q9fD39/f6SlpSEqKkppXUREBObNm4eFCxdi9+7dGDNmDNavX2+qQ5MNCQ8Px9OnT/XeTt2Pi6EjcGgje0hSNzuwJsY0ZzHHjblly5Zah2gTKjU1Ve9tIiIisHHjRqOPbUtkI4iIoU2bNvK5IEgYTQ9gBw4c0Cu9Jub6Pgip7VPUvXt3eb8nQ4wbN07Qix/ZqD6Vubi4GN0HQ0hHXBmJRKL33BRCyjYuLs7g/jiaBrNITU2Fn58fSkpK9Nqfg4MDNm/ebFBeKnN3d1cZjCMsLAxXr14VtL22cyd7AWiKIceF6N69u6AZtJ2cnPR6mSkGkwUF7dq1w7vvvquxbbK7uzvGjBmDuLg4qxu3lfRnzFswbfQZTUWdqmrvrzhEmrXRJ6CpzNjz6+DgYDXTwdu6Tp06ITIyUt6Mpn79+vjmm29EzpXl03SNqHtxIebEbsb69NNPDQoKXnvtNUgkErRs2VKpOZK+nJyc9HrhYsy5/uabbwwKjoUc05j28Zr6I8hqcU3RnNvQWltnZ2dMmDBBaVmPHj20DkRhqXRN8GdNTBYUjB8/XlC69u3bm6XZBlmWqm53DTwfg19oHwNzEeNHXOy2nZWZqn+CIkv7jPR8/gZFTk5OKk30SFVVj1NvSVxdXXU2gZ00aVIV5eYfzs7OggYQ0NQO35Tf+6osV12THooZlArpM1CvXj2tHbGFDvzBCXX/YbKgQB+mnP6dSCYuLs6o2ZFNwZDRh6zxx12b5ORknWms4Q1odSsXMo169eoZNCcDAR9++CHKy8tVhq0Ww8CBA+UtG+bMmWOWIaT1ERsbi9mzZ2PKlClVdkwhfQoMmZ/DUPr+Lqxbt07jpHT79+8XPHfG4MGD4efnh+nTpyvtwxaZLCg4efKkXulNNQQkicNaLxpzP4xa2szLVU2fz26L56nyZDimZg3BlrWrW7euvJO+uVW3+4kljUjVtWtX+f+NaaZkKr6+viqdxrUxxffCkr9bQu5l6h76ZdsZ0y9u/PjxyMvLM3h7a2ayoCA9PV2vL9hPP/1kqkMTWYyqrimw5odAffJujZ9T3URKVTk0LlVvlvxAR8aLiorCiRMnTLIvQ++fVX3ftZT7vI+PDzZs2CB2NkRhsqCgU6dOam9SUqkUd+/exfnz51FUVISWLVuabKIkIn1VVUfjqmQpN1JAeF5s4YHmnXfeqfJj2sJ5NZamEVnEkpWVhZEjRwpOr2lYS7I+6u6Xc+fOxZAhQ6rk+EL7UVQVTcOvUtUxWVAwevRoresLCwsxb948XLlyRa+JXoiqO1NMIOPl5WVVQ0NaUiAjBnN9fls/r0KMGDFC7CzIeXh46OxQaUuBni19Vk0qD+lujHr16mldr+t8u7i4aGzyZcp8ypizeZmfn5/Z9l2dmHRGY228vLyQlpaGoqIiq5jVjcha2NnZYfjw4SadDbQqsP8B2bI33nhD5yRjthDkKY5UZ+mfV9vkZYbQdV8zdpLGNm3aGHX89957T+PvSnBwsMYWIpZo+/btYmfBKlRZUAA8jwLDwsJw8ODBqjws2bjKQyeak1g/ao6OjnBxcRHl2ESkP2t5mDK3F154QewsiEbb74WdnR3mzZundb25ubq6itbcu6p+S3/77bcqOY61qNKgAACKi4vx+PHjqj4smcC6devEzoJBOnXqVGXHqm6jheirunceNhVb/o7YMsX+ALb8/VdkTedB0zwFptatWzeDz4s+v3dCh+yszjhEvrIqnafg4MGD+OuvvzhjqYHS0tJULuKEhAQkJCRUyfElEkmVHMecfH19zRokVHVQYGk/qJaWH0vFPgUkRHBwMAfmsEFubm5VchxLfjlhyL1s9OjRVtW3zhKZLCjIzMzUuK64uBg3btzA5cuXIZVKOfGLgTIyMnTOBknaeXt7m7U5ka3XFOjD0s+TOfPHh3eS0fZdSE9P17jO0q8f0k3s+4Alf4c8PDz03ub11183Q05si8mCgp07d+pMU6tWLaSkpKBz586mOiyRxbHkG601mTlzJgCgefPmoowcIfYPNpEtULxf8t5pHrruZULO+4ABA0yVHZ0aNmyIFi1aVNnxAH73ZEwWFHz++eca1zk5OaFGjRqoXbu2qQ5HIgkMDMStW7fEzobFMuRB0tibkSXdzIR+fiHpZDOOfvvtt0blyRKlpqZi8uTJYmeDRBQXFwcfHx+xs2Fy+t6PGHwbRtN51ud8yvZRr149nD17VmvaCRMmGHUsfbi4uFjU75otMVlQYI4xa8nyfPHFF1U2sYo1mjdvns21Afb398e9e/fQq1cvvap8Lf2mb878matzW/369TFnzhyz7JtMq3Xr1mjdujXOnDkjdlaq3LRp0zBt2jSxsyG64OBgvPHGG0btIzk5GT/++KNB28r6KH777beIj483aB+Wfh8n/bDrOemFNwDtgoOD4evrq9c21n5Oe/fuDQCYOnWqXpPP8A2h6bm4uKBdu3ZiZ0NJdHS02FkgC9OzZ0+xs2CQgIAA1K1b12T78/PzwwcffGDUPurXr6/0tyE1BZY4CpG1/y5aqyodfYisHx/kqDIHBwe9t+EN33b07t0bx48fFzsbVEXGjx+vV22p4v3D0n9fhg0bViXHEXIenJycADxv6//ll19qTWst91sx8xkbG4tPPvlEtONbCoODgrffftvgg9rZ2WHx4sUGbw88H9Fo+fLlyMnJQWFhIYKDg5GYmIj27dvr3Pbs2bNYvnw5Tp8+DalUisaNGyM1NRXh4eFmT3vixAmNI0rMmjULTZs21eMsUHVgLTdsTQYPHoy+ffvqtY2l//gDz98KZmVliZ0NquYMvRYs9b4RGRmpV/qXX37ZTDkxPUs554cOHTJJnwIZS/lcLVq0wM8//4xx48ZV+W9EYGAgXn311So9piUyOCjIz883ZT70NmPGDPz9998YPHgw6tati927d2PWrFmoqKhAx44dNW539uxZTJw4EWFhYRg9ejQAYP369Zg8eTJmzJih9FBurrTA8ynuK/fDqFwNSGQN3NzcDBpX21J+iDRxcHBAbGys2NmwetYQAFqj6nJe9Q0ibIGue6Ol3zsN5eDggMDAwGr7+ayBwUHB5s2bTZkPvRw+fBjHjh3D2LFj0aFDBwDP263m5+dj6dKliI+P19ikYcWKFfDw8MC0adPk7Z+bN2+OYcOGYcmSJfjqq6/MnhYA6tSpY5W1ArxYTWvLli3w9/cXOxtEJBJj7qlhYWEmzIn4+PtiPHXBYnUJIMn8LK93iQD79u2Dm5ubSoe6rl27oqCgQOvQWnl5eYiKilLqEOnu7o6IiAjk5eWhoKDA7GmJZIKCguDs7Gzw9rzZE9kuXv+2JyQkxKT7279/v8Hb8vtX/RgcFHz00UdYv3692nVFRUUoKSkxOFO6XL58GcHBwSq1ARKJRL5ek9LSUnkHHUWyZZcuXTJ7WgDIyspCnz59MHDgQEyZMgV//fWXxjxbEt4EyBSSk5Px6aefip0NItFVtz4FZB4rVqwAALz77rsm3a+jo3HjzZjje+jj42PQjMZkPIO/DSdOnEBAQIDadSkpKejSpYvRQ21pUlhYiMDAQJXlXl5e8vWa1KtXD2fOnEFFRYV8GK7y8nJ57YLituZI6+7ujt69eyMyMhLe3t64efMmNmzYgPT0dEydOhUxMTEa815UVKTjzDzn5OSkNkAhshRBQUEICgoSOxtUBfgigch01D3EOzk5obS0VP53RESEXi8aLS3AnDVrlkGj2pHxzDIkqVQqtdgfgp49e2Lu3LnIyspCUlISKioqsGrVKnnHacXxes2RNjQ0FKGhofLtIiIi0KpVK7z//vtYunSp1qBA6KRhKSkpGDRokMAzoh9Lu3kQEdkqS/2dJfNRN8KiWN8Dcx1Xn/luyLSscp4CLy8vtbUBsmWyGgN1unXrhocPH2LNmjXYunUrAKBp06bo168f1q9fDz8/P7OnrczT0xNxcXHYunUrnj17BhcXF7Xpli5dCnd3d437kWEtgW1hoEZkvUJCQjBx4kS9t+N1X31pe9hW9wY9OjoaR44ckf9tbJMgffB7WL1YZVAgkUiQnZ2N8vJypQtE1pdA19CeiYmJ6NOnD27cuAE3NzcEBARg/vz5cHV1RaNGjaokbWWym4C2C8zd3V1QUEBEZAmWLFmCunXrYsaMGWJnxWJ5eHggMTFR7GyQhdMWKPTu3VspKPDx8UFOTk5VZIuqGascfahVq1YoLi7G3r17lZbv3LkTfn5+goZpc3JyQv369REQEID8/Hzk5OSge/fuat/SmyutzOPHj3Ho0CE0bNjQqJFoyDaxCQFZqujoaHh7e4udjWqL1371VPnloKyTsSatW7fGnDlzAPzznVBsgsPvCQlllTUFsbGxaNGiBRYsWICioiIEBQUhOzsbR44cwZgxY+S1BydOnMDkyZORnJyMlJQUAM9rE/bu3YtGjRrByckJFy9exLp16xAUFITU1FSl45gj7axZs1CrVi00btwY3t7euHHjBjZu3IgHDx5g1KhRZj5zxpNIJJg8ebLY2SAismlstmE7mjRpgtOnT2tc7+/vrzREu77fDUO/Sx06dGDAUc0YFRTs2rULu3btUlluZ2encZ3MTz/9ZMyhkZ6ejmXLlmHFihUoLCxEcHAwxo0bp9IJp6KiQulL6+joiNzcXGzZsgXFxcWoVasWevTogcTERJXOLeZIK5FIkJOTg99++w3FxcXw8vJCeHg40tLSrGIiGk9PT/Tt21fsbBCRlXB0dMTatWvFzgZZoAkTJoidhWqnKh/S+/TpU2XHoqphVFAgZoTo5uaG4cOHY/jw4RrTREVFYcuWLUrL6tati5kzZwo6hjnSDhgwAAMGDBC0TyIia2dnZ4cGDRqInY1qpzq8oeVvoXmwFokMZXBQsHnzZlPmg4gMxB8AIqLqTeiIQtUhWCTxWGVHYyJ6jj8ARLaJLwNsS2hoKH7//XdBafndIEMxKCAiIiLR8WFWMzs7O9SoUUPsbFA1x6CAiIjICrGmkIhMySqHJCUismYtWrTAunXrxM4GWTG+VSd1XnvtNbWzHhMJwaDAiqSlpcHeXrlyJyEhAQkJCSLliCwBHw6sj6OjIyQSidjZILIorPkwXocOHcTOAlkxBgVWJCMjA+7u7mJng4iIiKoJvlgiGfYpILJifLNGREREpsCggIiIiETHN9ZE4mJQQEREZGWcnZ3h4uIidjaIqBphnwIiIiIrM2zYMAwePFjsbJAVYXNT0oVBAZGVY5U7ke1xdXWFq6ur2NmgaoC/ISTD5kNEVoxvfoiISAg+/JMuDAqIiIiIiGwcmw8RERGRqObOnYvo6Gixs1GtsWaZdGFNAREREYmqTZs28PT0FDsbNq9ly5ZiZ4FExKCAiIiIyEYp9jUYNWqUiDkhsTEoICIiIqqmZM2GhHQ0Zmdk28Y+BVYkLS0N9vbKcVxCQgISEhJEyhERERFVFwwKbBuDAiuSkZEBd3d3sbNBREREVoYdjUkXNh8iIiKiKnX48GGxs0BqsKbAtjEoICIiIqrmND3wKy5nUGDbGBQQEREREYMCG8eggIiIiKiaE9KngEGBbWNQQERERFRNubm5iZ0FshIMCoiIiIiqqTFjxsDf319QWtYU2DYGBURERETVlKurK1xdXTl5GenEoICIiIiommOfAtKFk5cRWTGpVMqbOBFRNfLee++hpKRElGPz98S2MSggIiIishB+fn5iZ4FsFJsPERERERFrCmwcawqsSFpaGuztleO4hIQEJCQkiJQjIiIisgbsaEy6MCiwIhkZGXB3dxc7G1Zr+fLlYmeBiIhIFOxoTLqw+RDZjKZNm4qdBZNjR2MiIjIV/p7YNgYFREREREQ2jkEBERERUTXHPgWkC4MCIiIiomqOfQpIFwYFREREREQ2jkEBEREREbGmwMYxKCAiIiKyYQ0aNADAoMDWMSggIiIismFr164VOwtkARgUEBERERHZOAYFRERERMTmQzaOQQERERERMSiwcY5iZ4CES0tLg729chyXkJCAhIQEkXJEYpNKpbyJExGRSfD3xLYxKLAiGRkZcHd3FzsbRERERFTNsPkQEREREbGmwMYxKCAiIiIiBgU2jkEBERERETEosHEMCoiIiIiIbByDAiIrxtGHiIjIVPh7YtuscvSh4uJiLF++HDk5OSgsLERwcDASExPRvn17nduePXsWy5cvx+nTpyGVStG4cWOkpqYiPDy8StIak3ciIiIic2FQYNussqZgxowZ2LlzJ5KTkzFt2jQ0btwYs2bNwp9//ql1u7Nnz2LixIkoKSnB6NGjkZaWhpKSEkyePBmnT5+ukrSG5p2IiIiIyFysrqbg8OHDOHbsGMaOHYsOHToAAKKjo5Gfn4+lS5ciPj4eDg4OarddsWIFPDw8MG3aNLi6ugIAmjdvjmHDhmHJkiX46quvzJrWmLwTEREREZmL1dUU7Nu3D25ubmjXrp3S8q5du6KgoABnz57VuG1eXh6ioqLkD+4A4O7ujoiICOTl5aGgoMCsaY3JOxEREZE5sfmQbbO6oODy5csIDg5WeaMukUjk6zUpLS2Fk5OTynLZskuXLpk1rTF5JyIiIjInBgW2zeqaDxUWFiIwMFBluZeXl3y9JvXq1cOZM2dQUVEBe/vn8VB5ebn8Db3ituZIa0zeAaCoqEjrehknJye1QQoRERERkTpWFxQYo2fPnpg7dy6ysrKQlJSEiooKrFq1Cvn5+QAgf6A3Z1pjDBkyRFC6lJQUDBo0yCTHJCIiIuvm4+Oj1MRZnU2bNsHNza2KckSWyOqCAi8vL7Vv1GXLZG/d1enWrRsePnyINWvWYOvWrQCApk2bol+/fli/fj38/PzMmtaYvAPA0qVL4e7urjUNANYSEBERkdyiRYt0PhsEBwdXUW7IUlldUCCRSJCdnY3y8nKltvmy9vj169fXun1iYiL69OmDGzduwM3NDQEBAZg/fz5cXV3RqFEjs6Y1Nu/u7u6CggIiIiIiGdYAkBBW19G4VatWKC4uxt69e5WW79y5E35+fggLC9O5DycnJ9SvXx8BAQHIz89HTk4OunfvDhcXF7OmNUXeiRTVrl0bnp6eYmeDiIiIrJzV1RTExsaiRYsWWLBgAYqKihAUFITs7GwcOXIEY8aMkb+BP3HiBCZPnozk5GSkpKQAeP5Gfu/evWjUqBGcnJxw8eJFrFu3DkFBQUhNTVU6jjnSCs07kVDfffcdHB2t7jImIiIiC2OVTxPp6elYtmwZVqxYgcLCQgQHB2PcuHFo3769UrqKigpIpVL5346OjsjNzcWWLVtQXFyMWrVqoUePHkhMTFTpgGOutELzTiSEs7Oz2FkgIiKiasBOqvjUTBapqKgISUlJWL16NfsUEBGRVYiNjcXhw4fFzgbpieVW/Qh9jrS6PgVERERERGRaDAqIiIiIiGwcgwIiIiIiIhvHoICIiIiIyMYxKCAiIiIisnFWOSSprUpLS4O9vXIcl5CQgISEBJFyRERERETVAYMCK5KRkcEhSYmIiIjI5Nh8iIiIiIjIxjEoICIiIiIAQHR0tNhZIJEwKCAiIiIiAMCSJUvEzgKJhEEBEREREZGNY1BAREREJrdz506xs0BEemBQQERERCbn4+MjdhaISA8MCoiIiIiIbByDAkJpaSlWrlyJ0tJSsbNCOrCsrAfLynqwrKwLy8t6sKysC4MCQmlpKVatWsWL1gqwrKwHy8p6sKysC8vLerCsrAuDAiIiIiIiG8eggIiIiIjIxjmKnQESLi0tDfb2ynFcQkICEhISRMoREREREVUHrCmwIhkZGUhISMCCBQvk/yw5IPjll1+sZr/WlFdzsKbPb015NRdrOa8sK55XlhXLyhx4Xs2zXwYFVoYXLS9ac7Cmz29NeTUXazmvLCueV5YVy8oceF4ZFBARERERkRkwKCAiIiIisnEMCoiIiIiIbBxHH7ICUqkUAFBUVISKigoUFRWZdP+y/Zl6v+bIq7n2ay15ZVlZT17NVVaA9ZxXlpVtn1dz7dOa7oMsK+spK3Pt1xLyKksne57UxE6qKwWJ7u7duxgyZIjY2SAiIiIiK7V06VLUrFlT43oGBVagoqICBQUFcHNzg52dndjZISIiIiIrIZVKUVxcDD8/P5X5rhQxKCAiIiIisnHsaExEREREZOMYFBARERER2TgGBURERERENo5DklqpoqIirF69GhcuXMCFCxfw6NEjpKSkYNCgQUrpLly4gGXLluHSpUt49OgRnJ2dUbduXSQkJKBTp05KaXNzc/Hnn38iLy8Pd+/ehYeHBxo3bozk5GQ0atRInu7EiRNIT09Xm69Zs2ahadOmpv/AVswcZaVP2uLiYixfvhw5OTkoLCxEcHAwEhMT0b59e7N/dmskZnnx2tKPOcqqsm3btmH+/PlwdXXF2rVrldbx2hJOzLLidaUfc5SVPmXA60o8DAqsVGFhIbZt2waJRIJWrVph+/btatM9efIENWvWRPv27eHv74+nT59i9+7dyMjIQH5+PpKSkuRpt27disLCQvTu3RshISF49OgRNm7ciLFjx2L69Olo3ry50r7feOMNREVFKS2rX7++6T+slTNHWemTdsaMGfj7778xePBg1K1bF7t378asWbNQUVGBjh07mvvjWx2xywvgtSWUOcpK0b1797B06VL4+fmpHQ+c15ZwYpcVwOtKKHOWlZAy4HUlHgYFViogIACrVq2CnZ0dHj58qPGijYqKUrkAW7Zsidu3b+O3335TumhHjhwJX19fpbQxMTEYPnw41q5dqxIU1KlTh29YBDBHWQlNe/jwYRw7dgxjx45Fhw4dAADR0dHIz8/H0qVLER8fDwcHB1N+XKsnZnnJ8NoSxhxlpeibb75BREQEPD09sXfvXqV1vLb0I2ZZyfC6EsacZaWrDHhdiYt9CqyUnZ2dUXMWeHl5qVxYlQMCAHBzc0O9evVw9+5dg49l68xRVkLT7tu3D25ubmjXrp1Suq5du6KgoABnz541OF/VlZjlRfoxZ1n98ccfOHnyJN555x2163lt6UfMsiL9VOU9sDJeV+JiTYGNqKiogFQqxePHj5GTk4OjR49ixIgROrd78uQJzp8/j+joaJV1WVlZ+Oqrr+Di4oKmTZsiKSkJERER5si+TdGnrHSlvXz5MoKDg1Vu0BKJRL6+WbNmZvsstsCU5SXDa8s8hJ7/Bw8eYPHixRg8eLDG2T95bZmXKctKhteVeehzD9RVBryuxMWgwEYsXLgQv/32GwDA0dERw4cPR48ePXRul5WVhadPn2LgwIHyZe7u7ujduzciIyPh7e2NmzdvYsOGDUhPT8fUqVMRExNjts9hC/QpK11pCwsLERgYqLKdl5eXfD0Zx5TlxWvLvISW1cKFCxEcHIxXX31V4754bZmXKcuK15V5CSkroWXA60pcDApsxIABA9C9e3c8fPgQBw8exKJFi/D06VP0799f4zbLly/Hn3/+iREjRiiNPhQaGorQ0FD53xEREWjVqhXef/99LF26lDdYI+lTVoaUK5mWKcuL15Z5CSmrPXv24ODBg8jMzDSqCQUZx5RlxevKvISUFcvAOjAosBEBAQEICAgAAMTGxgIAfvjhB3Tp0gU+Pj4q6VetWoXVq1fjX//6F3r27Klz/56enoiLi8PWrVvx7NkzuLi4mPYD2BB9ykpXWi8vL7VvVmTLZG9fyHCmLC91eG2Zjq7zX1xcjKysLPTs2RN+fn54/PgxAKCsrAwA8PjxYzg6OsLV1ZXXlpmZsqzU4XVlOobc1wD1ZcDrSlzsaGyjwsLCUF5ejlu3bqmsW7VqFVauXIlBgwYpNRvSRSqVAgDfrpmYtrLSlVYikeDatWsoLy9XSnf58mUAHI7PHIwpL014bZlH5fP/6NEjPHjwAJs2bUJKSor8X3Z2Np4+fYqUlBR8/fXXAHhtVTVjykoTXlfmoc89sHIZ8LoSF2sKbNTx48dhb2+v0nbvxx9/xMqVK5GUlISUlBTB+3v8+DEOHTqEhg0bwtnZ2dTZtWmaykpI2latWmHbtm3Yu3cv4uPj5el27twJPz8/hIWFmS3ftsqY8lKH15b5VD7/NWrUwIwZM1TSrVu3DidPnsS0adPg7e0NgNdWVTOmrNThdWU+Qu+B6sqA15W4GBRYscOHD+PZs2coLi4GAFy5cgV79uwBALz44otwdXXF/Pnz4ebmhrCwMPj6+uLRo/2+t0IAABYNSURBVEfYs2cP/ve//6F///5KVXsbN27EihUrEBMTg9jYWJw+fVrpeLKxhWfNmoVatWqhcePG8Pb2xo0bN7Bx40Y8ePAAo0aNqqJPb11MXVZC08bGxqJFixZYsGABioqKEBQUhOzsbBw5cgRjxozhcJgaiFVevLb0Z8qycnZ2Vhl3HQB27NgBe3t7pXW8tvQnVlnxutKfqe+BQsuA15W47KSyuhuyOkOHDkV+fr7adf/9739Ru3Zt7NixAzt27MDVq1fx5MkTuLq6okGDBujevbvKNOSTJk3CyZMnNR5vy5YtAIC1a9ciJycHt2/fRnFxMby8vBAeHo7ExERG8RqYuqz0SVtcXIxly5YpTRk/YMAAThmvhVjlxWtLf6YuK3Vmz56NvXv3Yu3atUrLeW3pR6yy4nWlP1OXlT5lwOtKPAwKiIiIiIhsHDsaExERERHZOAYFREREREQ2jkEBEREREZGNY1BARERERGTjGBQQEREREdk4BgVERERERDaOQQERERERkY3jjMZEJKpevXrplT4gIADffvstbt++jbfffhuRkZH44osvzJQ7y3H16lUcOHAAR48exY0bN/DgwQN4enqiWbNm6NOnDyIiIgTt5+TJk0hPT4dUKsUrr7yCf//73yppdE1kOG3aNLz44otKy4SUY3R0ND7//HOV5Xl5eVi9ejXOnDmDsrIyhISEICEhAV26dNG4r7t372LFihU4cuQICgsLUatWLcTHx2PgwIFwdnZWu01JSQnWrl2L7Oxs3LlzB15eXoiJicHrr7+OmjVr6sy/zI4dO5CZmSn/28PDAz/++KNSGnXnw9HREb6+voiIiEBiYiIkEol8na5zro5sEinZRFOyv2UqT0Blb28Pd3d3+Pj4IDQ0FDExMYiPj9d4vgwlO65swktL9PjxY6SkpCgtmzFjhtpZkolsBYMCIhJV586dVZbl5eXh5s2baNCgARo0aKC0ztvbu6qyZlE+/vhj3Lt3D+7u7ggLC0PTpk1x9epV7Nu3D/v378fQoUPRp08frfsoLS3F/PnzBR+zTZs2cHV1VVnu7++vskxdOcocPnwYjx49Qnh4uMq6ffv2YebMmZBKpYiIiIC3tzdyc3MxZ84cXLx4EW+//bbKNjdv3sS4cePw8OFD1K9fH+Hh4Th37hxWr16N3NxczJgxA05OTkrblJSUYPLkycjLy4Ofnx9eeukl5OfnY8eOHTh06BBmzZqFoKAgIadFTvb9dHFx0ZhG8bwUFRXh3Llz2L17N/bs2YPp06cjOjoaABATE4OAgACVz5mXlwdfX1/ExMSo7Ftd2aijWI5FRUW4ffs2cnJykJ2dje+++w4ffvghYmNjBe2runB0dJSXjex+Q2TrGBQQkahGjx6tsmz27Nm4efMmWrVqhUGDBqndzt/fHwsWLND6QFadhISEYMiQIWjTpo3SA+/WrVuxYMECLFmyBC+88ALq1auncR+rV6/GjRs30K1bN2zfvl3nMd966y2lN8/aqCtH4Pkb2f/9738AgE6dOqmsy8zMREVFBSZNmoQ2bdoAAO7fv48JEybgp59+QsuWLeUPzjKZmZl4+PAhevXqheHDhwMAysvL8eWXX2Lfvn1Ys2YNXn/9daVt1qxZg7y8PDRt2hSffPIJ3NzcAACbNm3Ct99+i8zMTMycOVPQZ5XR9v2UqXxeysrKMHfuXPzxxx9YvHgx5s2bBwAYMGCAyrY7duxAXl4egoODNZ5fIdSV4/3797F69Wr88ssv+PTTTzFlyhSV2p/qzNXVVX5OZfcbIlvHPgVEZJUcHR0REhKi8na1uvr000/RoUMHlTfgPXr0wAsvvICKigrs2bNH4/ZXrlzB+vXr0a1bNzRr1szc2ZXbs2cPSktL0aRJE9SpU0dp3fbt2/HkyRO89NJL8oAAAGrUqIEhQ4YAeP7Qrujs2bP466+/4OvrK08DAA4ODnjnnXfg6OiIn3/+GWVlZfJ1ZWVl+PnnnwEAI0eOlAcEANC3b19IJBL89ddfOHfunOk+uAaOjo7yQOLSpUt4/Pix2Y+pTo0aNTBy5EikpqaioqICmZmZKC0tFSUvRGQZWFNARFZJU58CWXvvlJQUdOrUCd9//z2OHz+OsrIyNGvWDEOHDkW9evVQXl6O9evXY+fOnbhz5w5q1qyJPn36ICEhQePx1q5di6NHj6KgoADu7u6IjIxEcnKyShOnqtagQQMcPXoU9+7dU7teKpVi/vz58PDwwJtvvokDBw5UWd7++OMPAKq1BABw8OBBAEDbtm1V1sXGxsLZ2Rm5ubkoKSmRt3s/dOgQACAuLk4lQKpRowbCw8Nx/Phx5OXlyduHnzp1Ck+ePEFQUBBCQ0NVjtW2bVtcunQJBw8eRKNGjYz4tML4+vrK/19eXm7242mTmJiI7du3Iz8/Hzk5OWrLSZ3y8nJs2LABv//+O+7evQs/Pz907NgRSUlJatNLpVJkZ2fjwIEDOH/+PO7duwd7e3sEBwejS5cu6NGjB+zt/3lPuXDhQvz6669477338PLLL6vd3/Dhw5Gfn4/FixfLXw5cvXoVa9aswenTp3Hv3j24ubnB398fUVFReO211+Dn52fAWSKyDawpIKJq6fbt2xgzZgzOnz+PyMhI1K5dG0eOHEF6ejru37+PL774AuvWrUPt2rURFRWFO3fuICsrC9u2bVPZ119//YUPPvgA27Ztg6urK1566SXUqVMH+/btw9ixY3H8+HERPuE/bt26BeD5Q7E6v/76K/Ly8vDWW2/By8tL8H5///13LFiwAFlZWdi8ebNSp1Uh8vPzcerUKTg6OiI+Pl5l/aVLlwBA7YO6k5MT6tWrh5KSEly/fl2+/OLFixq3UVwuS6f4/4YNGwrexpxkNRLe3t7w8fGpkmNq4uDgIA/KTpw4IXi7WbNm4YcffsCDBw8QExMDiUSCTZs2YcaMGZBKpSrpS0tL8fXXX+Po0aPw8fFBy5YtERYWhitXriArK0up4zbwvAYMgNrrEQCOHz+OW7duoUWLFvKA4Ny5cxg1ahR2794NHx8ftG7dGmFhYSgrK8PmzZuVvkdEpIo1BURULe3atQt9+/bFkCFDYG9vD6lUiszMTOzcuRMfffQR7O3tsWDBAvmoM7m5uZg8eTLWrFmj9GayqKgIX375JUpKSjBx4kSlt9rHjh3D9OnTkZGRgcWLF6u8ua4KN2/elL89f+mll1TW37t3Dz/88AOio6O1dgZWZ/Xq1Up/L126FElJSUhOTha0/e7duyGVSvHiiy+qdBAvKirCkydPAEDjyD81a9bEuXPncOfOHXltzJ07d3Ruo5jO0G3M4cmTJzh79iwWLVoEQH0/AjHIgqWrV68KSi/rKB0YGIiZM2fKO57funULkyZNwt27d1W2cXBwwKRJk1RqeB4+fIhp06Zh165d6NatGyIjIwEAEokEzZo1Q15eHi5evKhSGycLFhSv1S1btqCkpESpf4rM1atX4eHhIejzEdkq1hQQUbUUFBSEN998U94kwc7ODn379gXw/AFh+PDhSg+JzZs3R8OGDZGfn4/bt2/Ll//++++4f/8++vXrp9LMpUWLFnj11Vdx7949+YN5VSovL8ecOXNQWlqK+Ph4tU1fsrKyUFJSgnfeeUfwfiMiIpCWlobFixdj3bp1yMrKwr/+9S/Y29tjxYoV2Lx5s6D9aGs6VFxcLP+/ps7ishFzFNM+ffpU6zay5YZsI0tnSr169ZL/S05OxpQpU/DkyROMHTtW/n0UmyxgE9q/YevWrQCA119/XWkkqsDAQI3NhxwcHFQ6yQOAj48PBg8eDAAqzdpeeeUVAFDpFP/o0SPs378fvr6+aNmypXz5w4cPAUClYzrwvKM+mw4RaceggIiqpcjISDg4OCgtCwwMBPC8s6fsjaQi2ZCU9+/fly87duwYgOcjzagjG2bz77//Nj7Telq0aBFOnTqFwMBAtQ/9e/fuxf79+5GYmIjg4GDB+01NTUWnTp0QGBgIFxcX1K1bFwMHDsRHH30EAFi5ciWePXumdR/nzp2Tv51VfHDTh7pmKLJldnZ2eu9Hn21MpXPnzvJ/7du3R9OmTfHo0SN89913ejXXMSd9zk9ZWRnOnDkDe3t7tX1B2rdvr3X7CxcuYP369Vi4cCHmzJmD2bNn49dffwUA3LhxQyltu3bt4OXlhT/++EPp+7Zr1y6UlpaiS5cucHT8p8GDLCiePXs2zp49i4qKCp2fh4j+weZDRFQtqRtLX/bmuUaNGkqdGmVkb4wVR2GR1RqMGTNG6/EePXqkM0/btm3DqVOnlJZ5e3tj6NChOretbNWqVdi6dSt8fX0xffp0lb4CRUVFWLRoEerUqWOyZioxMTFo1KgRzp07hzNnzqh9Iyvz559/Anj+YKeuWZXiCEDPnj2Du7u7ShrZg6BiWtn/Nb3VN2YboeP+60PdUKLnz5/HpEmTMHXqVCxYsEAerIpF9t319PTUmbawsBBlZWXw8/NTW67u7u7w8PCQNw2TKS0txZw5c5Cdna1x34q1OwDg7OyMTp06YfPmzdizZ4+8+dv27dthZ2eH7t27K6Xv378/Tp06hYMHD+LgwYPw8PBAWFgY4uLi0KVLF7XfMSL6B4MCIqqWtL311OeNsextY9u2bbXOiRAWFqZzX6dOncKuXbuUlgUEBOgdFPzyyy9YuXIlPDw8MH36dJWhPoHnD54FBQUICAjA1KlTldbJakIOHjyIa9euISgoCB988IGgY9epUwfnzp1DQUGBxjTl5eXyuQk6duyoNo3iw+Pdu3fVzq8ga5teq1Yt+bJatWrhwoULatuta9tGcZ2QbcwpNDQUr7zyCjZu3IhffvnFoKDQlC5cuAAAWue4kFFXeyPEpk2bkJ2djfr162PIkCEIDQ2Fp6cnHB0dcf36dYwcOVLtvnv06IHNmzdj+/bt6Ny5M/Ly8nD16lVER0erfO/d3d3x+eef49SpUzh06BBOnDiB3NxcHD16FOvWrcPMmTP1nqCOyJYwKCAi0qJmzZq4fv06kpKSjB56dPTo0UZNQgU8fwO/aNEiuLi4YMqUKRpH1JHJz8/XOGpQQUEBCgoKVN7qaiNrd674Jr6y3NxceUASERGhMZ1sfoDz58+rPJCWlZXhypUrcHJyQt26deXLGzRoIB/WUh3ZcolEorQN8M/Dr5BtzE02mdi1a9eq7JjqlJeXy+e3kA3hqo23tzccHR3x4MEDlJaWqtQWKHYgV7R//34AwLhx41C/fn2ldbLRs9QJDg5GVFQUTpw4gWvXrsk7GFeuJZCxs7NDRESE/Hv38OFD/N///R+ys7Pxww8/YMKECTo/I5GtYp8CIiItmjdvDuCfhxoxHT58GHPmzIGDgwPS09Pl/RnUiYqKwpYtW9T++/DDDwE878i5ZcsWzJ07V9DxHz58KG/+pGlIUOCfpkMdO3bUWisTFxcHAGonXTt06BBKSkrQvHlz+RwFitscOnRIZbKt+/fv49SpU/Dw8FA6N82aNYOHhwdu3rypNpiQHV+276ogexA2R5Mlfaxbtw537tyBv7+/yog96jg6OiIsLAwVFRXYu3evynpZDVFlsmBS3QhQOTk5Wo8p63C8adMm5OTkwMvLS1BegecdmWWTxV2+fFnQNkS2ikEBEZEWPXr0gI+PD9auXYsdO3aoNHF4+vQpdu3apbFpiqmcOnVKPknb+PHjERMTY5bjnD59GsePH1f5nLdv38bnn3+Op0+f4qWXXtI4vOfTp0/lAZSmpkMy3bt3h7u7Ow4cOKD0gPngwQMsXboUAFRG6AkLC0OzZs3w4MEDfPfdd/Ll5eXlWLhwIcrKytCzZ0+lDqhOTk7ySekWLVqk1Ldg06ZNuHTpEsLDwwU1ATOF8+fPy994x8bGVskxK7t//z4WLVqE5cuXw97eHh9++KHgIXVlD+krVqxQakaWn5+PH3/8Ue02sqY+spGLZPbs2aPSpK6y1q1bw8fHB9u2bcOzZ8/QqVMntXndunWr2lqH//f//h+AqmseRmSt2HyIiEgLT09PpKen47PPPkNmZiZWrVqFevXqwcnJCXfu3MG1a9fw9OlTZGZmanxQNoVPPvkEJSUlqF27Nvbv36+25iI8PFzt7K/6uHbtGjIzM+Hn54c6deqgRo0auHv3Ls6fP4+SkhLUq1cP7733nsbt9+/fj+LiYjRu3BghISFaj+Xl5YUPPvgAX331FWbOnInIyEh4e3vj2LFjePLkCXr16iWvqVE0atQojB07Fps3b8bx48cREhKCv//+G7du3UKTJk0wcOBAlW2SkpKQm5uLvLw8jBgxAuHh4bhz5w7OnDkDLy8vee2Jqc2ePVv+/7KyMvkxKyoq0LJlS8EzCAuhqVZmyZIlSsO73r59G5cuXUJFRQVq1KiBUaNG4YUXXhB8nI4dO2Lfvn3Yt28fRo4ciebNm0MqlSI3NxeRkZGws7NTmfPhtddew5EjR/D9999jz549qFOnDm7cuIFz586hX79+2Lhxo8bjOTk5oWvXrli/fj0AzU2Htm7digULFiAkJAQhISFwcHDA9evXceHCBTg7OyMlJUXwZySyRQwKiIh0CA8Px7x587Bp0yYcPnwYx48fh4ODA/z8/BAXF4fWrVvrfAA2lqyd9u3bt5XmUajM2KCgSZMm6NGjB86ePYurV68iLy8Prq6uaNCgAdq1a4cePXpo7XCt2HRIiLZt2+KLL77A6tWrcebMGZSVlSEkJAQJCQno2rWr2m3q1KmDzMxMrFixAkeOHMG1a9dQq1YtJCUlYcCAAUrNjWScnZ3x+eefY+3atcjOzsb+/fvh6emJzp07IzU11WxvkRXfgtvb28PDwwMRERHo1KkTunTponYULH2VlJQA0NwUSVYLY29vDzc3N/j6+qJdu3Z48cUX0a5dO7XnSxs7OzuMHz8eGzZswO+//47Dhw/Dz88PPXv2xKBBgzBy5EiVbSIjI/Hll19i2bJluHDhAq5fvw6JRIJJkyYhNDRUa1AAPJ97YP369WjWrJlKnwSZ1NRU7N+/H2fOnEFubi7KyspQs2ZNvPzyy+jfv7/aDvlE9A87qaFDCRAREdmgHTt2IDMzEykpKfL26mIpLi5GUlISXFxcsGbNGlHmYqgK8+fPx7Zt2/Dhhx9qDBYNNXv2bOzatQszZswQ1NmaqLpiTQEREZEB9u/fj9u3b8PFxQXvvvuuKHn45ZdfIJVK5c12qqP8/Hz88ccf8Pb2Rnx8vEn2+fTpUyxcuBAAkJeXZ5J9Elk7BgVEREQGuHjxIi5evAgPD48qDwoyMjJw48YNnDlzBo6Ojmr7UVi7DRs24OLFizh27BhKSkowePBgrU3X9FFWVqazgzORrWHzISIiIivTq1cvuLu7o1GjRkhOTq6WzV4mTZqEkydPwt/fHy+//DKSk5OrbW0IkSVgUEBEREREZOM4TwERERERkY1jUEBEREREZOMYFBARERER2TgGBURERERENo5BARERERGRjWNQQERERERk4xgUEBERERHZOAYFREREREQ2jkEBEREREZGN+/+10nByo1s6XgAAAABJRU5ErkJggg==\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"flat_lc = lcf[0].flatten(window_length=1001)\n",
"flat_lc.plot();"
]
},
{
"cell_type": "markdown",
"id": "bd24e89d",
"metadata": {},
"source": [
"The light curve looks much flatter. Unfortunately, there is a portion of the light curve that is very noisy, due to a jitter in the TESS spacecraft. We can remove this simply by masking the light curve. First, we’ll select the times that had the jitter."
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "bf6a5169",
"metadata": {},
"outputs": [],
"source": [
"# Flag the times that are good quality\n",
"mask = (flat_lc.time.value < 1346) | (flat_lc.time.value > 1350)"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "8cdfe098",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"masked_lc = flat_lc[mask]\n",
"masked_lc.plot()"
]
},
{
"cell_type": "markdown",
"id": "973c905a",
"metadata": {},
"source": [
"We can use Lightkurve to plot these two light curves over each other to see the difference."
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "f9ca16b1",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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TMGbMGFZ5NRoNTp8+jcceewze3t6c7xvDMNi9ezdyc3MNs2vNnj0b/v7+vO81IYQQQqRJxphOz0MkR6lUYty4cfjzzz850zIyMzMRHh6O0NBQq3njhLgSfVcJIUR6Bg8ejIsXL7q6GMRJrNUj9ainwI2EhoaaDQYNCQlhzYZDCCGEEEKIWBQUuJHw8HDengJCCCGEEEJsRbMPEUIIIYQQ0shRUEAIIYQQQkgjR0EBIYQQQkgjZ7zODWmcKCgghBBCCGnkkpOTXV0E4mIUFBBCCCGEENLIUVBACCGEEEJII0dBASGEEEIIIY0cBQWE3Hf06FGMGTPGaYOtdu7ciTFjxjjl2IQQQggh9qCggBBCCCGEkEaOggJCCCGEkEYqNzfX1UUgEuHh6gIQ4UJDQyGXs+O4kJAQDBgwwEUlcrzvv/8eKSkp+Pe//40//vgD2dnZeOCBBzBz5kw0a9YMv/zyC+Lj49GiRQtMnDgRw4YNAwDExcVh7969uHPnDmpqatC5c2dMmDABgwYNMhy7oqICERERuHjxIsrLy9GiRQs89NBD+Oijj3jLc+zYMSxfvhzTpk3D6NGjAQCZmZlYt24dEhISoNFo0L9/f0ydOhUdOnQwPE+pVGLVqlU4d+4cPD09MXLkSPj6+jrpXSOEEELqZGdnY9++fZg6darVfe/cuVMPJSLugIICNxIeHg4fHx+z7ZmZmS4ojfMUFxdj7dq1GDduHBQKBVavXo1ly5bBy8sLffv2xbPPPotDhw5h2bJlePDBB9G2bVvk5uZiyJAheOWVVyCTyRAfH4+FCxfi66+/Rv/+/QEAv//+O+Lj4zFp0iS0bdsWxcXFiI+P5y1HVFQU1qxZgw8//BAjRowAAOTk5GDOnDno2rUrZsyYAZlMhq1bt2L+/PlYtWoVPD09AQA//vgjLl++jEmTJqFdu3aIioqiCy8hhJB6UV1djfLyclcXg7gZCgqI5FRUVGDp0qXo3LkzAKCoqAi//vorXnvtNbz55psAgJ49eyI2Nhbnzp3Diy++iBdeeMHwfK1WiwEDBiAjIwMHDx40BAVJSUl46qmn8M9//tOw7/DhwznLsG3bNmzevBlz585FcHCwYfvmzZvh6+uLRYsWoUmTJgCAhx56CFOmTMHhw4cREhKCzMxMxMbG4oMPPsAzzzwDAHjkkUfw3nvvOfBdIoQQQvhptVpXF4G4GQoKiOT4+/sbAgIA6NixIwBg4MCBhm2+vr5o2bIl8vPzAQAFBQXYsGEDrly5guLiYjAMAwB44IEHDM/p0aMHoqOj0apVKwwaNAhdu3blPH9kZCROnDiBzz77jHVOALh8+TKGDRsGhUIBjUZjKEu3bt0Mq0EmJSWBYRg88cQThucpFAo8/vjj2L9/v83vCyGESMHV21l4uEegq4tBrNDfowgRioKCRui/2//G3dIqhx6zUwsvrHzdMWMbmjVrxvpbn5Jjut3DwwO1tbXQarVYtGgRlEol3nrrLXTo0AFeXl7YuHGjIWgAgGnTpsHPzw+7d+9GREQEAgICMHbsWDz//POs4545cwZdu3ZFnz59zMpWVlaGvXv3Yu/evWaP6XsOioqK4OHhYTaGoGXLliLeBUIIkaaBv1wGs4yCAqmjoICIRUFBI+SoyrtUZGdnIzU1FZ9++ikr1aempoa1X7NmzfDee+/hvffeQ1paGvbu3YuVK1eiS5cu6Nevn2G/+fPnY/HixVi8eDHmzZtnCEoAwM/PD4MHDzYLJADA29sbgK6nQ61Wo6KighUYlJSUOOw1E0Iahne+34YNM8e6uhikAaKggIhFU5ISt6ev/Ht41MW4eXl5uHnzJu9zgoKCMGXKFABAVlYW67FOnTph0aJFSExMRFhYGOvC+vDDDyM9PR3du3dHz549Wf8FBupaznr27AmZTIbY2FjD8zQaDc6fP2//iyWENCiRWV6uLgJpoGhMARGLegqI2wsMDERAQADWrVsHrVaL6upqbNy4Ef7+/qz9PvroIwQHB6Nr166Qy+U4duwYPDw80LdvX7NjBgUF4csvv8T8+fMRHh6OWbNmQS6XY8KECQgNDcXnn3+OUaNGoWXLligpKUFCQgL69u2Lp556Cl26dEFwcDB+++031NTUGGYfogs0IYSQ+iK0p0Amkzm5JMRdUE8BcXuenp745JNP4OnpiaVLlyIyMhJvvPEGKyUI0M0SdPz4cSxduhRLlixBbm4uFixYwBrUbOyBBx7AF198gbi4OCxfvhwMw6Bjx44IDw+Hn58fVq5cic8//xxr165FdXU1goKCDM+dPn06Hn/8caxduxbh4eEIDAxESEiIM98GQgghxIDSh4hY1FNAJGXmzJlm2/r37499+/aZbf/9998N/+7VqxfCw8NZjz/99NOsvydPnozJkyfznnvkyJEYOXIka1vv3r2xdetW1raOHTti7ty5/C8CuhmJZs2aZbZ97FjKHSaEEOJ8FBQQsaingBBCCCGkgaGUVSIWBQWEEEIIIQ2MWq12dRGIm6GggBBCCCGkgaGeAiIWjSlwI6GhoZDL2XFcSEgIBgxoWOsOEEIIIcQ+NKaAiEVBgRsJDw+Hj4+P2fbMzEwXlIYQQgghUiW0p4CmJCV6lD7UAOh7D6hVgEid/jtq2uNFCCHEsWhMARGL7swNQKtWrQAAqampLi4JIZbpv6P67ywhhBDnEDumgIIIQulDDYCPjw+Cg4MNc/l3794dCoXCxaUipI5Go0Fqair27duH4OBgzjQ4QgghjiM0e4BhGACAUql0ZnGIG6CgoIHQL4rFtcgXIVIRHBxMC7gRQkg9oJRiIhYFBQ2EXC7HuHHjMGbMGBQXF9NUZEQSvtwSjbMZZTj88Wto1aoV9RAQQkg9oaCAiEVBQQPj4+NDFS8iGRlVHrgjC0CnTp1cXRRCCGk0GIahxkEiGg00JkTi3g7f5uoiEGKXqSt2Yvrqva4uBiGNitCeAv2UpDQ1KaGggBCJ23jXy9VFcCtqtQbRlxNdXQxi5NDtUhxOKnR1MQhpVCh9iIhFQQFpcKav3ou9sX+7uhjERWISUjAyMsnVxSCEEJdq6EFB6+nrXF2EBoeCAtLgrLquwvpTN1xdDEIIIcRlGvqYgiJPf1cXocGhoIAQQgghpIER21NAYwoIzT7kRkJDQyGXs+O4kJAQhISEuKhE0nV/LRYiATLU84dBHz4hpIG6e/cuoqKiMHXqVKv70grFRCwKCtxIeHg4TTdK3A4Dan0ihBBHSEpKwurVqwUFBQ09fYg4HqUPEUIIIYRIgFarRU5OjkOOJXZKUkIoKCANkpZSSCSjvtOH6LMnhLirGzdu4IUXXuB9nBFxfWvosw8Rx6OggDQ4MqoTEiIp9JMkRBhHpvxQUEDEoqCAEEIIIUQCxPQEWGNvgJGUlIRp06Y5qDT2WXv4PHrNinB1MRo8CgpIg0Qtk40XpQ9JD2UsE+IY9Zk+dOnSJcTHx9t1DEe5mp6HZAS4uhgNHgUFpAGiSqFUUP2cEEKc7+TJkygpKWFt02g0ooII0wHH3333nUPKRtyHW05JqlQq8eeffyI1NRWpqakoKyvD+PHjMWHCBEHPV6lUiIyMxOnTp1FeXo7AwEC8/vrrGD58uNP3TUhIwLx58zjLFRYWht69ewt8FwghxD1QbEiIc4WGhmLJkiUYOXIka7tWq4VCobD4XJp9iOi5ZVBQXl6OQ4cOISgoCMHBwTh8+LCo53/zzTdITk7GpEmT0KlTJ8TExCAsLAxarRYjRoyol30nTpyI/v37s7Z17dpV1OuQirsFJXj1+904//W7ri4KMfH/Vu3BS0N64ZlBD7nk/HSvIXr0XSDEfmLHHAgJCgjRc8ugoG3btti8eTNkMhlKS0tFBQUXL17ElStXMHv2bDz11FMAgAEDBiAvLw8REREYNmyY4QfkrH0BoGPHjg2mV+BWZi4uVLV2dTEIh5WJGlRUX3dZUEDpQ4QQ4joajQaenp4W93Hk4GZnUFXXYMeNAkBOYwqczS3HFMhkMpu7u2JjY+Ht7Y2hQ4eyto8cORJFRUVISkpy+r6EEEIIIabsqaBz1YvEDDaWahrR7ewCZFJAUC/cMiiwR3p6OgIDA82604KCggyPO3tfAFi1ahVeeuklvPHGG/jss89w/fp1q2VXKpWC/qutrbV6rAZP2g0fhDQ6Em+MJESSrl+/jjNnztj8fFqrgIjhlulD9igvL0f79u3Ntvv5+Rked+a+Pj4+ePHFF9GvXz80b94c2dnZ2LlzJ+bNm4fPP/8cjz76KG/ZJ0+eLOQlihp0TRq4RlgRoylJpYc+EkJss3v3biQmJuLJJ5+06fmOXAyNNHyNLihwtR49eqBHjx6Gv/v27Yvg4GB88MEHiIiIsBgUREREwMfHx+o5rOUPOppcgl2OTGOsDRMiYRK8TBDSoHCl/6jVakNKklTTg/hcTsnEIw90dnUxGpVGlz7k5+fHauHX02/Tt+w7c19Tvr6+GDJkCNLS0lBdXc27n4+Pj6D/6jsokBr3uuw5n5biI+JiblYXIYSXlAflGlf69eXUarVYunQpli1bJuh5UnGvoASPrrwCgO7p9anRBQVBQUHIysoyy7PT5/wbTwvqrH25uGskT6ROujcwZ2EoCiKEOMmQIUNQWlrq6mIYbN++HSqVCgD/QOPs7Gzk5OTwHqOqqspp5bMVXcVdo9EFBcHBwVCpVDh79ixre3R0NPz9/dGrVy+n72uqoqICcXFx6N69O5o0aWLPy2tQtFqtzfmQVC8kRDok3Ljq1s5cu0054y7grMk8Vq9ejfXr14t6zpIlSyxW+IUMNJ4xY4aoc5KGy23HFFy8eBHV1dWGCDkjI8MwQn/QoEHw8vJCQkIC5s+fjzfffBPjx48HAAwePBgDBw7EL7/8AqVSiQ4dOuDkyZO4dOkSZs2axZo9yBn7hoWFoU2bNujZsyeaN2+Oe/fuYdeuXSgpKaEfpokRX0SiSq3FhW/eFflMqoEYk3J3N2k8qA/U8YZG3EDSTD/0DGzr6qI4hGLGDmh+eM3VxXCZv//+G8nJyRb3EXs9p9mHiBhuGxSsXLkSeXl5hr/PnDljCArWrFkDLy8vALrWZtMf0bx587BhwwZs3LgR5eXlCAwMxJw5czB8+HCz8zh636CgIJw+fRoHDx6ESqWCn58f+vTpg9DQUIu9CY1RTqUa1VqqShBxKAQiUrMq6gymjAqGhwetLGuJVkE95Y4mpidJqunLUpzMpKFy26Dg999/t7pP//79sW/fPrPt3t7emDp1KqZOnWr1GI7ed+zYsRg7dqzVYxEiBa8t3YJv3/knenRsY/Mx6HJOgMYdrP33WBGeG1yCru1o5XfiPPYuXkZIoxtTQAgRbmdeM5y6lmrXMRpzZZAQQlxJ6kFB4IwILN12zNXFIPdRUEDsRl17DZtCbvtlgoYzNBzf7TiOA3HWV14nxJRslnmPPTEnJH3H0pgCSz0FeXl5+Omnn+w+v6Pdk7VCSm5JvZ+XcLM5fejYMcdFdk8//bTDjkUaDpkdiSdUGa1j73th732CQsaG4YuYuwhunYXnhvS16fn0PSDEusLCQtHPsVSZ148pSE9Px40bNzB9+nSby0YaPpuDgh9++MFhUSUFBYQ4hyN+ofb0FAi9RFxLu4d+QR1tPg+pHxRsEyI9ltY5UqvVrH2khqFMA0mxa6BxUFAQgoODbX7+uXPnkJaWZk8RGpXQ0FDITSpoISEhCAkJcVGJSGNgzzVb6H2o//J4MMsoKJA6aVYriBR88Ose3CmoxP5PJ7i6KA2amMq9QqFwi3Us9LeYtYfP491nH3dpWRo7u4KC7t27G+b/t0Vubi4FBSKEh4fDx8fH1cWoNwwYUNKB/Rg7q3IeCu6egrhbaZgeGYPYrybZdXxH00q0RcydlSurUOnZAgDl/kqNXC6Na2RsWjHSKy2XZfneU+jk74dXhw6sp1Lxi09KR05xOUIe78e7z88//4w2bdrgjTfeYG23VDHPy8vD4sWL8f333zusrNboewhMewoUCoXkBxobm3woD+8+a75d7Hf8ckom+gd1pCmAbWBzXoCPjw+aNm1q18mbNGkCb29vu45BGrZMtBT9HGncItkm/rAdcyP+csGZLVeQ31+1Bwmpd3TQWP4AACAASURBVC3uw5cmGJuYgXMqf5tLJkb05cR6OQ/hVllV7eoiEB5anuXb03MLkZlXVM+lseyLo6lYeuCKq4sBAJi+/gTe3njJ4j7x8fG4efOm2XZLQUF+fj5OnTplU5kcPdBXLpfjl19+QXl5uUOPWx/seSceXXkFW2Isf7aEm81BwZYtW/Cf//zHrpP/73//w5YtW+w6Bmm4ZJCBkbvtUhosh+9U4HCibrE9rkr4C19vqu8iAQB+SZZj+9lrFvfhujg7cjYRId3bIyOTHHa++tTQZl2hPhj38fTSPXg2bE+9ntPdvh/uVl5AfPpQQkICsrOzJbswGR9Lr1LIdZU6jG1DU5ISt3U5JZP3MXtTZhzNuDQDfjZvwYgq8rPpuF7TrQfV9l4c+aaclepNRqoD6hoCem/dh5qRQcPTi+AMEr0c8HK38tpCoahLn6msrLT7eLdu3cKIESPsPo5YchlVVesLvdPEbq7IaVVV1+DRlXzd0FKtuDi+XNWezew+pbV1Jvg+3/r42Kuqa1BQWuH8EzVwaTkFuJmebfPz+3+x267zS/UXWZ8YhsHV21muLobTULzoevqGmtzcXDAMYwgKHNWAU15ejooKx1+Ps8uqsOM0+37eCGI2SaKggBAX6DYzwmouv6PYe6+2Z0pSAKj0bI53vt9m03P/s2ovHliw067zE+Cl7/dhRPghm59f4KkbO0IVP9slZuVh4C+X6/ms0qpa6b8+8UnpLi0HYO86OOIWELNXerqw90t/7pCQEBQUFBhmK5Rqr67e0RwZJmzlHzemZRw/g1LU+WuIjI7DvQJhkyfkFZfh80jbr6HuwuFBQWZmJqZMmeLowxLCIvQSF/L1RqeWw1Zp8gAk38t3dTEE4XuvxdxoTmbwty7xDZQEgFJVLVQQN6GBpeM1ZtKuFjR89T0rVn1/3kIvBzLIMPjXv822p5pcDxUzdjiiWBYxJu/S4MGDnX5OWxin/ghtqWcYBh4e7jQmj7HwF79vtx+36Wz/b0sc3vkrByMW7xK0/19xN/Hl5RqbzuVOHB4UqNVq5Oe7R2WHSJulm4zpeg18/ipq7qDSuC/923g97R4qVeJnkVHwTElqLe3IURgX12YXbDiEgOnrXFsIInlh249j7Lf8Y3yYBhysarVa1GrqXt/te/nYcDSOc1/T8V4Tlm3FuiMXMCJsP/uYiiaOL6gRIZcvhmEk18q+ZMkSs218dS6h90mhbB1T1GtWhF3ntTSm4MZd3QrQ73y/DReNeqCMP7aC0go8Nm8t5/Nr63EZB3eYRU90GLl582aLjxcXF9tcGCI9NbVqNP34AJhlY+r93MbXn0GfrMW7T/TABy8OE/1c6aj/m4vGoykYqAAA/X+8gBl9FQifwv4srd30bKn8P7coElP+r1+9D/j+cfdJdG3TwqHHzCwqR7HCtoHgDY2tn6a1b1BxeSWaeTVFE093atlkO3gtC+eLnP8b/3LTEVy4k29YJMzSmK76+vUt33saV9UBaA3dFKhLdp7C77fleGfkEPMymRRqRzoDVe1tlGo8DM2Uz3+1EUD9Nug4I1eej1arxc6dO/H666/z7vPGG29g69athr8LCgoQEBDAue9///tfANzrFHBtr2/J4C63JWJK/O6P2xGZ5YVu529hcK+uZo+n5xYirro153OF/kYc8VsaGZkE5pEHHXAk57EpKGjVqhVvt5R+SW3SMGhsWA3xckomlFU1eLJfD4eV44rKD3GpuYL2Nb2YHIm/iX8+8qDDW03EyPNojbxal50eAMDIFajViP88eWcfsvCcg8V+6HL1juhz2WvGqVLsetWxQUFjtPbweey+lIofJz+Lru24b6ZiWLuhBn26E28+6Itf33/F7nMJtTf2b7Rp4Ysn+nSvt3M6womkHFwUsPyADEAKAjD22y3Y9tGbTi1TQbnKbBvDcd2QAVDzXILKPOvWpDlQ7LiAoP9HEUj4drLV/fjm8nfGjFs1NTVYsmSJxaAgNTWV9ffo0aPx7rvvWjyuaeVff8/jm/b5zJkz6NHDcfdpe2hktjcI/J1dAaAp73VGkm2EEiX6U2jTpg0mT56MoUOHcj6empqKmTNn2l0wIg0+88QPrHln9VGU1ABZPzjvYiNm6fZnN6WgsGcX+De3MlOPxBWX6/JKW/nZ/jpS8srhO30jKn56S/iT7GhlMh7Mt+n4Rfh6NcGLTwxg7WMp19o0ILl6OwtjVhxBxvfWb/K2uHo7C/27dXRKABkZHYcfo68j7pt3HX5sR5t8KA+ALyYmZ2Lg11GAZyu7jykDDOlrzbzZ40QqZV4oVdVvvu7kzZfRqzkQ+5V7BQWmrI2hySqznDKYkHoX/bt3cmSROBsMtFotGACXa9lBprPTA69pxLVSDx48GDExMWjWrBlvC7vYQEGj0aC4uBjXrl2za0rPtWvXso5pPOWoKbVabWi8raqq4txn3rx5eO+99wSf35lTEms8dNcErVYLuVwuuCKfmF+JeyoAHuzySTNbQPpE3/m6detmFsEak8lkNJd1I2frx997tm15h6UVSvz7J/agNNPvoDMH+aXlFGBc2J+inyc2LWf4oq0Yvmgr0nIKWEFRzNVki8/LKK5rxSuqUqPSU1wrnIeNFWSGYVjpQ7N3J2Dernirz0vPLUTomrrFaWo9fAz/Tr6Xj0y5+K5ooQb+chlRF6475dinE7NwkacLW4i/zl/DzN9sWwyNga6i1vN+bu/kn3bgroBZNxgAJQ4ICPTH+r9Fm/H45+YL9WnlnsirkNYgvujLiQicEYFXllhOmdVzVIbGgg2HoKq2/F4YD5BNSLtneV8Ll76aWjXnuili6UtT6OmvG1+g1X3jmhqto5KZz59aXF/jk/jsOH0Fz4XVTbur0WgAOG5MwVdffYUJEyZg9uzZrO2Jiboc84KCAqSlpeHs2bOCj3nvnuXPfcaMGVZnH/Ly8oJKZd7LU9+s3Z0tpchdqPRDrofw6+oHv7IX9GNQ1+BGbAgKXnnlFfTp04f38Q4dOuDrr7+2q1CEW2hoKP73v/+x/ouKinJ1scwuOLZWvxMZdmVP6LU4KSsPf6RbHpQmpmdBDI8Z23H2Zhq25vhY39lOFWpAqWbQLSwWvx2INWzfdNryisRnVf74assRm8/LF1DZerNMSL1rsaJ14OItfH/TpkM7hFQbNSJOXsOKa/bdwFPu5/auTW+CU9dui36+6VtzRuQxymoYlHGk0TFyBY6XtzR/wIUOXErGXUUAduf71ut5v7pSg6SsPMH7v7aLfxFHoP4Xclz111msTW8CyGSosbaOikhCp48UQoa6e9WuC8m4KgtkPX7s2DGHXQtyc3NRVGSe8/XWW7oe29GjR3OmEuXk5Fit/FtircfTw8PDEACJsXfvXluLxIF9H9H3fG08IX76XuN7Fd/taUUS+z3JREsELLCeESGt4ebOIzp9qG/fvhYf9/LyQv/+/W0uEOEXHh4OHx/nVz6FeHBWBEY92Bo/TX3RIcfrMycCsDgYyfgSbt3BEnZeubN6CjQKcdNlCjHmm0146x8P4s0Rg8we01fEq9XiLuQL4nTdx1xvg7VFyKpquQdD6Fv3copK0d6fO4+fay7wo1dTLFa07P2s6nvqR3dh+q7Y8jYZVzC7zYxAmjwAzDJdmmC5sgrpeUXoF9TR6nHScgoQ1N78965Wa+DhwZ8S4QiXUzIR1M7f6n6677fYN4n/x7Qk6hIA/l6Xi0npGNBNWBqPTMJZ0gVl9gWu037eBb6qSafFp3gnvSgorcD1tGw89XBP0edUmzQaMQyDjz76CP369RN9LNPGkjVr1og+ht53332H8+fP23xuW6YkTUtLQ1BQkMV9srNtXwhRr1toBP77D915uH41c2O5B36XK7lTobjoGwO5Zv5Ku9/jzMg9BP2abP3F9ZkTgRthzkl3dQZavIzYJLO2KW7ncw/MssVNrfWUEOPK6zqe6e74GOfdbjlhPYXFlaLyvXGQZ5BuSa19P1lbLmzPb+FPFwSAPbHcPRXJBZWIK6y72WZ7BCCjyvwmJaYXx2WzaDiqDmZ3wFL3+v86b7mHiPtZjpNmksY164+/MPCHWJ6968pQoGmKbmH8+znboyuvoMOn1ls6xaa0yO5X1dt+uJbz8YsllitoQ379G00/PgAAKLcydbDp/PoW95VI/PDN9pMo9rQejK1OFVeRnbVmPzYfj8enkUcwYt0Nwc8z/nitfdZ373IvNPnss88iJyfH4nNXrVoluExicF0L+QYaW2LaG2Jp8LMt/vNL3ToAXtPreojTmZZIvGfee8LVqGP8qpov0PV6P7co0mw/09eyYt9p+M3YjKIKJfscAu85slm2pWsaE1K3kRK7g4LS0lL8+OOPjigLcSPV8qbIKOXPe3V21W3P5bS6c1lr6ga7Tjd+n647dmvMJeyNNV9ER0pML3yF92+qM08UOOwcS2KFpyoYs/a+xxZ5oNQkH10l87J63IoqF0/TZKKqVgOtwhPRl24h+FPdegXJWXmCc831412sVc60Wi3Scwt5H5eb/KpCtrIDR1V1DWSz9rHmwtZqtUjMtFxpsURo+sTV21nILa+C1sJ84oYyWbjt1FcvT7WnrqfK0unExp/6/fON8puNc+rFGBYhvHJbn6LOXzN8R6+l3TOMSxHyXt0u4J/y055Yf+XfZVh7+qbhu2ppLRbTz0MfXJmeX1+5ZhgGWVlZeOmll9jPu3+uoqKiep3KVAjjhc70QQHfrJBiG1lsSac6nVaX8qX/3enpq+bGRxVaYTdkAxg92bR494oqoPRsjtGb2WmOP+45JegcXP4xn71mjVqtMRsDpNVqEXG4rocnMjqOt7FAauwOCpRKJY4dO+a0nG0iDUfi2UneWkUTq7M6NJ2+BTfTzbsZ03MLcSDOvsGcYi9OXN/PWbuuYu5O1/ca+E5nV/wZuQd23NZ1kbLSoIxeslbuafGYgTOsD9q+fn+AItfA43/MX2d1oTN96xr/jaVue4ZRq3JVLf+0xcXllbzdxsb0r49rgJijq5WVNbpUrdM3M3C+SheUnbyeKjjX/GBqGat0wz9bz7nfpuPxCPpW+EBDU+r7083uv5hk2PbHofPo/YO4XjVL+H52T/8Yjb0FfmDkHkhI5W5VNRzj/v+NWw31nHkfSUi9i83Hnfd75/oZODqnXhST8gycG4GFGw+ztgntDbmckomZv+3Di5sT8fkW3QqyQ8OPYtyPukGb5+5YX7A0uox7zEithw925DrofZLJ4Tv/MO/Dxp+H8XXLNM3RuNLPp6SkrrK7adMmlJWVITIyEu+//77oYvOxpRL+7LPPGv6dlZUFgB0o1Df9S1i67ZjNx5iy+iDvY1pF3b1Q6LtVVCE8BclUrIrd2zU+fBt6zd3I2qbWaPGvQ3WNbe/8lWNoLMgpKrX53PWB0oeIIHuNKhqs7RZa2ms8m6GgzPxi9ElkNMZEOn8k6dXbWYZ/87VAVmu4KyIdPxQ+E5K1KQH5fLhdN+tHpad5Pn4FxzZrJizbami9vquw3mXZbzl/BSlW5Y+Syrrc4CPxN7Hj9BVR5VFzBi4M5p2v68rNzCtCSnZdr4fG6L38ed8p3hZE/evz/8K2G01NrRp5xWXWdxRp9u/70XcO+7vDMOzg5VRlK+w4fcXse6estt5DopUr8NWWIyg16Q4HuL/H1fdbCPWzDznCT3tOYuqKnbyPrzhwQdBxTFsNAefOJz7/zxi8u8vyTF2WqKprkJbjuB46a47E38QHv+4RlUPNpeb+SsPXq5rhXKrlXsH//LKLtSqs3uaTf+OHW+xVhhnIDJXp6EJvu8rIp6ZWDbWV8VMqTz8cLmlh9btjOkhZBhi+cHyz21jKnV+/XhfcMwyD8PBwhIWF4YcffkBZmeOvK0LJZDJUV9c15ggZRFxfEyssO50BwHrgb1oatVqD26XC1r8yfi1yef2MvMmvrEGp1gM1tWp0nWm93tDni91W93ElCgqIXT7maGlndwWK/1lam2JTqIG/1M1ewHfhuyML4ByfkO0hPA9w8zl2wCR0KfMMB0+tefFeBS7lCqtA8L3HLy/ZjLfCdatoGt8mQ/88h/+3jTso4Gtt1Cgszwglm7UPXZaewf+Fc7fszTxq+6wbxj7bYD6zxLz1B9Hl87qZuwKmr0MRRwCrqq7BURHZN7dyypBarRt8XlCq6/HI9ghAh0/3Iq2o7vivW5kxho9W7okFcVXoPG8H7z7GX3UhP78Jy7Zi0/GL3OczOQADYNvFNGxNqjDbXnd+Bpl5RTalztgaYAtl/E0t8vTHjXI5fj90TtBzP1i9H72/qZvFa+IP21Fj0uulT0cZumCdoRJqOgUiF66K0sbT17EiSY7mC45Y7bWz5Ko6APvOJUDt4W02AYOpX297YPsZ815crkaVSpkXTit16YG2fmrWZq8a8MkGvLxU/HTPprngMVeT0Wkxd8pIubLKbLIF416ES5e4p2zV31P0/9dPL6q3Z0/d537hQl2gfPu28Bm7xKb3mO5vrQIu5vjTpk1DQkIC7+PFxcU891mT6cGNfuNc+5teA7rNXi+4QcNa+uHQBet4HxPb6KWnP2V1rdpwT7f0vlfBci+/q1FQQAThu3iIuWS1ms6dNmHsyfnrMGL9LRFHFVYGS5WNMqWwG26/jyLw9BcbzLbfKdHlE+47p7tgjozk7lXhYlqpsMTS5c5n+ibOmX74fLOXe0aLS7lViL8nrKs56ooup9105g4AkIlofaqGY2ebMb3RLLpiPvalvKqW1VJd6OmPFfvNU3dSswtQ5ekn+Nwyma5imJyVhzZfHjdsr/b0xWErFTJLqRxpOQWsaW/L76/+GncrTXDZcnjm8t6WAey6mCLoGAysT3GZW16FgrJKm1JnnD2moNYkUC33bImwI9y9lqbXvKpaDav3a0NmU971BM4o/ZF8V5dSc/Wu9XSBFftOW3xcbcO0kcalP5aQxrmPtfd75+krmLVmP7JLzXumNB7WxwdZs/wgdzCqV1AjR24l+z3uEfoH576WXkpUPP81WT9w1VZ8DU6LFi3i3F5eXm6yyBZ/wS09JqRCz7dKsy3i4+ORm5vL+/gzzzyDO3fMJ8jIzuZuVTG041t5HVmKAKQLbECr0dTdi7Ra8+H4KWX87+dbW2/alb7YUFLoKSgggli8OJntW/dv45uOkEWQbpTZn+Sg4qjE6WcF0Y9lMG491hj9mKuqa5CZx51Hel0TYHEu9d9PCJ8NRm/rSfZczGIqeXoyme41JyHA7u5S48/OuEu9mqNOUnv/AvzfY+bvFyOiBUpfwbUm9V4+Dly2PBOSUFzf5/xyrpQc7ndUX4HfGnMJt+/lG8bJKGQyADJD2o4lzWewF/GyVEE7dY17NqrHfjNvuTN+69fFCmmVdOy0AHsL/DBkOXfru+laJKa+2HTUqTdXa2NxLNG9ryZTPlpYUbaYI8WLT6WA1DEWjq+KYkZd79GaA7EoU9fd3o2/E2Le3ze2pSD8JoNTmXUNBY6cAcyWGDBV1obnWPwHC7te95o/jvgL7a0M+hSTUmNv+s3Vq1d5H6vlmQ7aVUpLdQFufj73GBIh6UrWAlF7GgaWJ8oMY/R+PWEe7OsXOfs+zjwNsNrT1zAu68fdJxElYnY3UxKZ8MsmFBQQu/DdH/TbuX7gln4w5TL+dRgKeFY8FTLtGqCbFSQ1R1eBNW49Ni5j6B9/ocvSM4a/uQZNimndN2Wax26ay8qXVz5qUSRva8nJO3W5spnyAITvPMF7fjHX25CwuqnkkjkCDjE9E0IN/2ob6wzGlu46jd/TbKvU1dSqsXyvLn3g9r18VFSbf4bGi9rE3UpDUVml1RvU+N1pWLQtBvM2RmPMxps4l1ONagst5MY9KJWeLbDzfpf17XuWB2ouO2L9BqU1pDPUzWSUXMlfaTVu8d+dpbB5lqJ3f9yOYg92wG+5FZn/e3M7vxz95q5DsojFu+oL13fB+PdrehV6Zacuhzqrwv68bi3D4KstR/DC13WBZMB0diqEcb7/1MM5hpnKAPaMXp6huw0VnrVHzMd/cF3T7VlF/KM/XL/AprGMogoUyHx1K9/cf63Gq77zGTFihGH1X3sDAePnG48BsLSfqfqcnllfjuPHdb2fu3fr8uKVSiXnflzyFbrvo3FQmltm33gZLvoxeqeVrXjrGlyTawBAeq6ufvDZsXQsjbK+0rdarUFFrVZwwxYg/YCBggJil+uaAEPX7O4zV3H+5h0U1rAnTxQz16/Gg38xsKiiuh4Avrau0zw5qvoW31KOVCGG0VUaC0oroKxhVxYH/Gx+YahQVeP3Q+cMAwDFzEMcl5TBWS49DwX3T5Ir9eTLTUc4z7/hQhrv+fVnE3JPu1TDTjfRt7Log6J75ebvZdytNKjVGt70IWu3MUvvZY6VRZH037N1p8xbiG7fy8f0GF3wNGjJAWzL0JVk95mrGDJvLWvf7w5cwWO/JWDO2oOstI1VF+rGOOy9pOux0HdQ61+u/j0aES4sJSGrUBckPrCsrmWda0YlSxWA+esPYtaa/axt64/GIejbs6iCrqJYxRPHvrxkM9QeXlB7eGHP+ZuGIEXPtCLM9bFGpsJqCgBrzIHRrlXVNQgyGpy3+5Px+OqlR/B/30UZvt9SEHsjFZvuelu8ofN9Rndk7O/05uPxiL2RikMXbwhutWcYIPpWDk7k6vavaNKCVen/cfdJi89PK6qrvGkVnsgr1X3HNp03TxvTf8Znrt0W1Ilkbb2MiCv2D85+efFmDP5krajnaLVazoCE62PS9wCXtupxfx/znSoqKjBs2DDD3/qZifSBApeffvrJbNuWLVuwcuVKw9/r1vHnuYsNPmwJFIScY8mSJZzbhw8fbrbtu+++Q0pKCtRqNWbOnGlcOABAVNwNvPO9rvFHP8bFOJXTkT2F314Tl3bX6/vzohokwnaeMNwnja+VltKVxawx4goOCQrqa/Q6cR3TpcGNnUzR/Ygm/3kV0yNjUGC8QI3Jd+NUQsr9Fho5Xl4sbJ73vOIy1rRjTafzDzzjm9/7XqGu2/PTC+YXcAbAJ+sOosuCvTieZj0HU8swmHI4H1EXLE+rOvmnHfhpD/tmbTp+Yd8ldjoMX1DA5fe4LM7tQn6PR0r589st3Vf6zolA34914yriqs1z1B/7LQG+odvMtjtCkVJYD83+QstjAEo9W0F9vyX7bGIWLpq8jqslujdAwzCsi7txTr5+OlJG7gGZ7H52rNHbXihgkSbAJF3r/hvPPaMS/2e69eo9bL/O7mlQ1uhahms8dT1vyTyrhe8xmlZ15+UMvGZlADT3eALr3zc1I0OVxny/EV9uNusBe3XoQNz8ZjzO3M7FwLkRFtduEMPaGOa/zl9jVUiMx3gYz8Rl7MTfdQP21VoGGgu3VP3pZ+3+G/9bfxKTNlxA6f3jCk2ZqPRsgevF5hWd08mWB+Wb/qbXnLx1fzv3j724vBJDI25wrthu+gpN18tIzRc+5aJWYLtpemk1MoVnYxmcSTUPSDbd1c2UxPXSS1s/CMD6NZRhGERF6QKO9957j3c//QxFxo4ePWpocQfYg5C5zsPH0nSpQgkNIrgWb5swYQIA4MSJE4ZtDMNgy5YtSElJQXBwMOLi4sxW3/5412VsyuDvwXT1ivQ1AlI/PT/U3eMqJbamjiPYHRT4+flh/PjxglM4SMNm7cY7fK2uFVer8MSeAl9Bs2p0+oI9e4y+omNqbsRfvMewNHiZYRiUqmpQpfDmnBFIq9Vyzi1s7dq1I0WJnZfSWNt+OMrOATcePAoAChFBgSPxzZ1v6oY2AFm1lgcYVns2AyPnu+jbfsG3NsDV1I7TVwxpOclW0nOM6W9itRqt4BtUQm6lxV4uPsbfD3tvhhqBM/cMW6D7rAvKTLr+779u46kbq2vNK6CmxRRSrcjzaG3IBVfL69Jciqq4W/L8fLxwaMHbmP1sPzy5eC++23Gccz8x+N5emUw3xihk6x0kZuai3YdrkZ5bKOjzMF7t+0hpC4uDq/XvE9fMZgvizNMojD9OLVPXvpjHMWD8Ura4GvPZ+3Ot8/XoWnrp+2+bN5wYpy6ZpoQ4porHcL5uVhlM/9YyhtdpTobospZQKtifV3mLLrYXUQShDamW9tuxw3wGMlt6CoSsYcBVjqQkXYYA14rO+t6Tqqoqs5bx4tr79zg3a0s2vh7oG5W43m9bxgVKibj1xDn4+vpi/PjxjigLsSI0NNQs+AoJCUFISIiLSmSd/odkvHCJ8bXgTm4h+gV1tHgMtcBZLsR2FeppGeb+RY//gtrh67oWf31r4oT9llvndBdDkd2/ovZ2nFOVupzwLEUAPGpUFq8MzrqWm6ZAmJ7njFJY67uebtpPXcv3nrhkAJanSDWl1jCGgWeWbEtRodLTtpzr6yWOeDd135r3V0cB0AWZ7x8v5t1bP43k59FpgNHgf30ldOLP+wDo0inePciebeRCVWv8w7uI9T0V+vvUY+TCbztv/3MInh/SBy9/twN/xq/FntCX0TFAeP6uUPoxRvEpWcjzaI2MvGIs/ruuxZC5/+ZorUyz60gb02TQT8w1fc1fuFfB34KpD7iup91DWq7wFuQqte77nWoUNJdV1eCqhQXorFXOjxY0ZV0/SuT2L0xmOjPX8StJOHApGd/+y757n9l3UWClOiwszK7zCk8bc276kEwmw9atW+0qB9fgYku9GKa9qubnslocpyvzbAmA/xqqt+ZiNnD/96Dv4X3stwRUfNXBwrOknT5kd1BA6k94eDh8fPgH4krB9YomMJ6GVx8UfHzOMSsq6nsWMsvquu2ErsppKstkgS+hlRWhLboquRcAdgteDUcKhd7N9GwM/rVuMTiPGTsAC5UQa+scfPPnUbNtpuMEuKg9nLMQkTUzTpn3xgj5ZE9fu42h/XrYdE5Ln+XWHB98wLG99+wIwCgdh2vxOT6mPSjGaUbG3+NNxy/ioc7t8MgDcywoTwAAIABJREFUnQFYH9QtA5BXWQPA535KhvV3TiuBm1OtVma1v9q/eTOc/HIifo06gyFf7cKCZ3rhPyFPOqwMxu+CfkYtS8GgbNY+vNWpCoAuGIo4fB4vP9HP6nlUHnWV4zSl3OpsbMYByOZ73gCs/y7/98dRnKxsBQi8liWXMYAnMHTpfuB+D8bKFAUOp5wBeFLOrDENErlSkMQy/aaOXJsAraIJvjXatjadfa20NI2rhncWKmG/idOnLU8ha43QoCAuznGrkTuL2ijdxnTtBgBm6UNFnv6Qa/jTblydPqQ/u/G9euHGwyhTsSc6Uas1vNM8619Dt5kRgMl9utqzGbRarWSzaxxWquLiYly7dg3FxezoKicnB2FhYXj//fexcOFCQ5cTaTj0FZZaKKC537Slr7Au3G35onb879uGRZ6E6DNPN/uGmMG91pxIzMaxNP5VKP/55Ubex1iMrmVpOQWcN8MrtfzlrjBJpbK2+Jc1X51x1gwu9VOZFHqWYRE3rK56qp+/2nQl4GU3zG9AxpVlDUfl0Nq0mmJxLZr2713J+Gyrbrakjh9G4JqKv0JYN3hcbK8U9/7ZFlqk9edz1G07TcSsNtNCnkT8Z68i4mwyhi1Yz/m+OYppxUQ/RkNv4926iu/HUTfRe76AcTSyutttmQNaz7mcrLQ+7bPevHUHUCzTlaOWYf/abtsYEIgm4Itkax0xYI6FFnCehiT9VMrOngq0sNAx42QcraSkxPpOJtQcOfisdRg4ruRahSdrnKAUXSmvu/9+cakaK/9m1xHmcyyKaYrv+pbBM+25FDgsKNi+fTs+/fRTVn6aSqXC3Llzcfr0aWRmZiI+Ph7z58/nzEEj0peWwz2LhD4dQcPx479Ybjm1IPpGFmuRJ72RC80XCQOAUg27pdURMxUcL/BEmoz/JnjCZG0CIauudguLBQDEVAi/STvKVbXutXCt12DJoYvcg7RNWZpy09G25wo71/TfLM9wFZml+x4Kybs3nl6uPlqtus3fabZNf1bZrH3I9ghArQd/D6GG0eVTp5XpAiO5wHCq1KSlWv9Sb1gJuGNV/mbPrS/t/Vvg/Nfv4tVHu6L/Z1uxjmNKTXvcvT8blGlNdNF+y6udVjC2VXBs7eV0hMV/qx2yAJkz6d8dW94mMT14pkaPHi36OZamFnUGrlQhe6cptaUHxDh9SH8/tmfyGVcvAlZaoRsPoX8nv9qimwXN9H5aLHDRUy71OZ2sWA4LCq5du4bAwEAEBgYatkVHR6O4uBjDhw/HqlWrMGXKFFRVVWHnTvObIJG+uRuiLT5e5ekHkwYni5UZS6LLWgpqkbU2A5AQYqcI47vcMWA4Wy//j2MVZC41Vlq7nW30ZiELXdUfMbeV/ArHz3cN1M8Nqux+EJJTIrzHzNgdWQAy5XWrfgqd0cVUvIDUMqmY+cpTODfvJfwQfR3PLIw0TA9srwUXdcdZFc0OAiotdJ5Yy7GXAmkmKlhnCI7r7Yy2n4lrhh5nckbFku96x9UboLd69WocPHiQ9Xy7ggIXpw+9uFoXGOlLseY89yx/lt5+a/cNVzYGWOOwa0VhYSHat2/P2hYXFweFQoH33nsPHTt2xIsvvohu3bohIcF8FU4ifUK+x2KDAIXIH4dpBb5WrXHAD4z7+akiZqwBgPjcarReaD6d5NkiYWlAQ3mmU228rOTRG82WIrR1XCx1PbZaFZSzK7Y3C+u35dHddG7rj8tLJuOpB9vhoXmbsf3UZYv7pxQLfz+357B7qKyl01TLxKX66ccL1FcF6CDHOifGCjylH9gYY2ROCnMkXFmrD3yV+YoKyw0WixcvBgDMnTvX4WWqb0X3x3np107g+4Um5dnWiCN1DvtlqVQqeHvX5b0yDIPExET06NEDzZvXrR4XGBgo2Xw6YtnRDMe3xtp7DX5tVyaupduXjqbhGZT38BLunEG+VoAa024SAwlMpyARtvYcWXM5xzn55fXZavVjIvtvW/O6I69ZnzWjIZn/5jOI+egFfL73Cl74ehNU1dwrn9c4Mb6TehqOVFn7dRV6+qOgisHlSnaQpp8UImy7/VPVssvjPkGBI3oKTI+hDwo+/fRT1vbycuvr9wBAbq5utjJ7eliFpOdKwfFy/lnQqmuFrakjRQ4LClq3bm34QgBAcnIylEol+vfvz9pPo9HAw4MmPXJH+plS7O2q33KvLngsUYkb0FXGsZy4talBbVXBk5M6bfUBUcexNHc5cYxktBG038F489WOLWFcdIMyXuFTrFK57c91Vz06tkHC0kno36kles3daHWVXWOurAaOWuychf4aknR5AO+0tx/FOri11s17CmyZktSYvjJ/6BC7QUxoUKBn3ONQ3K6/hT0bpjHfuW+KvMOCggcffBBJSUk4d+4clEoltm7dCplMhscee4y1X2ZmJlq3dq+uSsI2cP4mhx3rRLG0p1jlcqC4Oef2fDfILXYnzmi1+z1GXFBw4nq6w8tAnEMul2Pxu8/jwIxRmLk1DmPDtqBG4i12XKuCNyZSmJPemDv1FHCxNyiwNX3IdAE0e8YUSOwrYZPiKsuvQqrTkQIODAreeOMNeHp6YvHixRg/fjwuXLiAfv364aGHHjLsk5ubi8zMTPTq1ctRpyUuoF8oxxGkcQFw7xtBQ2XLCsHWHLPQ5cvlZo752glE2voFdcTNsEno0MIHPT/agONXaBpsIkytVwvkdnoc5S2DRC/KV9/qc6BxfZJCGYwVaMRPDZ5sJfVz0VbHpr05ksPyeDp37oylS5di7969KCsrQ48ePfDqq6+y9rl06RK6deuG4OBgR52WuLn6XCGUj+mCUoToSa0lUwgp/Kb01GoNPDzq//cll8vx09QXMTEpHeNWRWNYzN+8DRBVGobaBQgAIOBePLyV+aj07YCC9gOh8fCGTKuBl7IA3pW58KnIQVNVEe8aH/XNnhZ5wLzF2vh4s2fPtvm49pZLSpSe3JkB9sgvl+4kEg5N7u/RowdmzpzJ+/hzzz2H5557zpGnJIQQp3H19HjubtGWo1j49iiXnX9wr65I/HYS/rNyD+9aJI7s+STuTaNogubFqWhenGrYppUpUOUTAJVvO+R3GIRqb38wMhma1FTAuyIH3pW58K7IhYfG/dYp4BtTAAAnTpywqVyAe09JWh+kPHSFRvwSQgiPhtTi5QoVVc5dGVYIDw8F1nzwKvIXb8LeAnEL+hHnklwFkGOqUzmjgU9lLnwqc9EafwPQpb3WNvGFyrc9Kpt3Rn6HwdB6NIVMq4a3Mh/eFbnwrshB06rieu2EctaYArHWrVtn83MbwzVXwjEBBQXuJDQ01Ky7LyQkBCEhIS4qESENm7X53YllUqr09WzbHCiQTnmIVMaU1fGuzLW+E3SVuiY1FWhSlIIWRSmG7VqZAqpmbXW9Cp0eR7V3SzCQoUl1GXwqcuFdmQPvyjwoNNzT5oqRlZVlUwWaYRhDMGD6/MZQIZcCKb/LFBS4kfDwcPj4uN9sPYSQxkkjoUqGbpFD6ZSHoMF9HHJGg2YV2WhWkW3YxgCobdocymbtUN6yG/I6PQ6toglk2lp4V+bD534KUpOqElEtyKYz/gilDwrUajXu3LnDekwKg3zdZZ2ChoqCAkIIIU4hpRu8M2ZrIcQaGYAm1WVoUl2GlkXJhu0auSeqmrWFslk7lAU+gRqvFgBkaFJVAu8KXbqSd2Uu5Fr+aXVtadnXarWQy+VITzefblkKPQWuL4HzFSpdn1bJh4ICQgghTiGl9CEKCSRIch9K/RVIoa1Fs/K7aFZ+17CNAVDj1RKqZu1Q6v8Acjo/Aa3cEwpNDbwr8+BdkQOfylx4VpcBMF9kzF5SCAoag7xK6a6fYndQUFpairVr1+LDDz90RHkIIYQ0EFIKCogESezrwXAMNK5PMgBNq0rQtKoELQsTDds1iia6sQrN2iO7dS/UNG2OXD8/HNl4Hk3aD9QNbK7ME3QOfcWfKwCQQlAgpd7FxsjuoECpVOLYsWP44IMPJL1KGyHEueKTaPVfwialG7x0SkL0GPpUBFFoauBblgXfsizDtr79+uFmQQkKZX4oDXgQOV2G4n9HcpDa+1VD6pF3RQ48aypY/R/6cQMajcbsPFIICohrUfoQ4SWFQUfEfWw9c93VRSASI6UqhuQyVQgkFDPquNGXpEqlQgttJbTFWWhVcBMA0NvrNsqSr0Pl2w6qZu1REvAQapv4AgyDpqoi+FTm4srdMjzSpTXOnDljdkwp3POjryajZ2BbVxej0aKggBDiENTKREylFSpdXQQDGmdMrGHcKCq4ffs22rRhL7x36dIleADwK82AX2mGYTsDGaq9/aH0bY8d13KwJCYN1255oqj3y3WDmiuETcfqbBkFZaiplW7OvSNI+VrkdkGBUqnEn3/+idTUVKSmpqKsrAzjx4/HhAkTBD1fpVIhMjISp0+fRnl5OQIDA/H6669j+PDh9bKvmGO62qmE264uAnEjlD9OTB0rls4UyjT7ELHKzb4jHh7CqnAyMPBSFcJLVYgvRvaAj48PJk/+BZdTUqDybQdls3YoatsPhc3ao6LvQ/BSFeqChYoceKkKIWPqrwdBq2Xw14WG3ess5Vul2wUF5eXlOHToEIKCghAcHIzDhw+Lev4333yD5ORkTJo0CZ06dUJMTAzCwsKg1WoxYsQIp+8r5piupqyxf4EV0nhI+UJHXEOr8HR1EYhEzV9/EOml1QCktMq0ewUFCoVC9HPUajXmzZuH9PR0eKhV8CtJg19JGgCgT58+uH7zFqq8W0Pp2x6F7R5GlU9rMDI5PGuV9wc058CnIhceapWDX41O5wA/NG3idlVTUZJrpNNYYsrt3vm2bdti8+bNkMlkKC0tFRUUXLx4EVeuXMHs2bPx1FNPAQAGDBiAvLw8REREYNiwYYYfmTP2FXNMKWAkl/BJpIwGDRJChPr6ai2AAFcXg8Wd0ocA4T0FxrZu3YrY2FiUl5ebPcYwDGSMFt7KfHgr8wEkGB6r9fSByrc9lL4dUNh+INQe3pAzGngpC+4HC7nwUhZCZud9IOxYCiImPWnXMaROI5Nu1dvtpguSyWQ2dwPHxsbC29sbQ4cOZW0fOXIkioqKkJSU5NR9xRxTCqiKRwhpKBQ0Ox6xpoGmDxmLi4tDz549OR+zNNDYs1aJ5sWpaJ8Vi263dqPntc3odmM7WuVdByNXoKD9o7jddxyS+01AWq8xyOv4GMpbdBFdPg0DeCga+m9Vut8zh7zz7jLAMD09HYGBgWat8UFBQYbHnbmvmGNyUSqVgv6rrZXuanmk4XKTywAhhDQItgQFH3zwAe7du4f27dubPZaYmMjxDJgNaNaTM1r4VOaide7f6Jx6GA9c34IHrm1Cx7TjaKoqRGXzzqLLl6UIwH/WnxL9PHfCSDj4tLsPw8/PD+PHj3eLNQrKy8s5fwh+fn6Gx525r5hjcpk8ebLFx/XEDLwmxFEoKCBSJt3bMJEKKVfWuNgSFPTr1w81NTVo2bKl4OeIafiVAWhSU4EmNRVoUXwbd7uPFF3G5JpmbpjcLlwbbamri8DL7rfd19cX48ePd0RZiBURERHw8bE+QMXT0zGD+7hmk7lXUOKQY5OGRwsGVPUiUuVm9T3iEu71JbElKAB0C5fZ+tz6UOvh7eoiOFWgdMcZN+RYzJyfnx9na7x+m77F3ln7ijkmFx8fH0FBgaNwtQ50//Ig4Nms3spA3Ifu++JeN1VCCNFrDAONAd21Wsxz3SVF3F1I+Vvm8JwfjUaD2NhYrF+/HitWrMCRI0cMjxUWFuLOnTucy2vXh6CgIGRlZZmdX5/L37VrV6fuK+aYUlXtIeEQlxBCeLz6RF9XF4FInLcyz9VFEMXWoECr1Uq6p6Ch85BLNyxwaFCQkJCAKVOmYMmSJdi+fTuOHDmCGzduGB6/evUqZsyYgXPnzjnytIIFBwdDpVLh7NmzrO3R0dHw9/dHr169nLqvmGNKgZZrSlLqgyc8qDGJSJmvd1NXF4FIXKv8m64ugigUFLinzP/P3p2HRVW2fwD/zjADM8Cwi4AIKIIoggqouOCuZeMeLrikllqZVqK2mKltvpqFS4b4WlmpmZotmpmmlb4upf7MnTLNrTQRVxSUgZnfH+MMs5wzc87MmY25P9fVlcw855xn5izz3M9613mLwfEl2FVx7tw5vPbaa1Cr1ejTpw+aNGmCefPmGaVp164dioqKsHfvXrRvb/s8tAcPHsT9+/dRUaFdPOPChQvYs2cPACAzMxMymQzHjh3DjBkzMHToUP2Yh6ysLLRo0QKFhYUoLy9HdHQ0du3ahUOHDmHKlClGswI5Ii2ffbqD4IDa3a+PCItiAuLOqDqD1Da2lhn4BgW0Griw+jUOdXUWWAkWFHz++edQqVR4/fXX0bx5c8Y0MpkMsbGx+Ouvv+w61tKlS1FSUtPMt2fPHn1Q8MEHH0AmkwHQXvimfeGmT5+OlStXYvXq1SgrK0NsbCymTZuGjh07mh3HEWn57NPVmAYaE8KG+p0SQjyZp80+ZOusjxqNBqmpqdi/fz/n9LYSqauhEbtXhaerNY9jnuLVHQgWFBw/fhyNGzdmDQh06tSpg8OHD9t1rA8//NBqmrS0NGzatMnsdblcjvHjx2P8+PFW9+GItHz26WqWFjIhxNAHW/ZREEkYVaqqXJ0FQmqlI0eO2LSdWq2Gn59zutPRr4JnEWxMQXl5OcLDw62mU6lUVNj0EFTII1y9+v0fNKaAMBr7/teuzgIhnIg87CFmazdstVrtEWtLEecT7KoIDQ3F33//bTXd+fPnWVfHI+6lupqCN8KNBsCtikpXZ4O4oet36bognsHTug/NmjXLpu24BAU5OTk27dsMh+80Tl0qzLE8hDuP0RAsKGjZsiUuXLiAffv2sabZvn07rl69ilatWgl1WOJA1R5Wa0Kc5+CT6Wavrb1sPl2tTHXHGdkhbkzjJh0IxG48DSAhzqTRaKwGBQEBNesR2TdezPp9FyHzrnvTncffCRYUDB48GDKZDPPnz8eqVavw559/AgDu37+P8+fPY+3atVi6dCkUCgX69+8v1GGJA7nzhUtcKzOZ25oadAURrupWXXPo/uMiwxy6f0I8ibWgIDAw0Ek58eyZwURq16y75SiCDTSOjIzEzJkzMW/ePKxbtw7r16+HSCTSzwyk0WgQHByM6dOnIzTUfadjcmf5+flmN7JSqYRSqXTI8aqo+xDh6IqEbTyRJz/uiRCu3FG5OgsAbJ+phZDaiE9LgV3HUaug9vG1mMaNe9NYVU9zA38jgtc27tx9SNDVK1JTU1FUVIQffvgBhw8fRklJCdRqNSIiItC8eXM8/PDDTo0+a5uCggL4+ztvRWEaaEzsxXYFSaruoUoic2peiGv8X6X1CSgAalUixJmcFRRIKu9C7lOGW77cngOeZlzrWMz6v3u8tnHnXhiCL2nn7++Pfv36oV+/fkLvmjiZbkXj9f1jMehr64PICTHHXCPSJqgce8opKKitfKorUW2ldpAQ4jrOGlPQ9P+K0GzI81j1D3uahFAZDv5r8yFcqrYNVaL2VMKq+kFQkJvT0sU5IZ5Kw/LAlElc/+gJUt0ENNRFzhHctx6MEAI4r6XAp7rSav+g+SO7C3IsV1Db8LBz5+5Drv9lJm7LXWYNcRVxNU2laD8ReoXednUmGGXXcd8HM1cfP1zX1VlgpBHx/2nx7qcNcQcSVTkUCoWrs+EU1gqmQnb1rrZScnbnQrK3sTkoKC8vR2WlfYWmyspKlJeX27UP4jjV1TU3sunMIBm+jp0phKvYavb5jdMk9s19vC430a7tibagJ2Z44IvcYACyGIDYw2eOGNWjNRqL3HGOb9efX0/VKfCGq7Ng1cRk921ha+Zj+/0ggucUUO0dOO/j42Px/aZNm+r/bW8feBqfaKxN4zhXZ4GVzVdVXl4eioqK7Dp4YWEh8vLy7NoHcZxqg5Wnu8cL05ToEZzwAItQXXf4MdyDCD4MTxl3aIUSiUTwU/MbIOaOQvwsP8b713H+WhG2LALVsZ7jx5jsfSLV4cewV4Cv5cKaO0iKct8ZBAOk9hWWvSUosLa94SKzMTExdh3L2ppHTBVHtVnzxFhXZ4GVzVeVRqNx6xHUxH4D2qXp/y3kPStSV6Oh5iouv9JRuJ3aoZ5Ja4O8SluIMv3ICtVNTEjSBko+VRwKkxb6qy8a4P6FEwDwV2m7/mwe3MCm7TUQ2dUqsG1YI5u3dbT2/p4R2LniBzewqoz3Ns/0zHBATowl1Yvklb6J2PmtMIb3i+7+czfOKDiL1FU2bVfbBn6ycXRQYHiOo6Ki7DrW6I7N7NrenXVLb2j2mlzF//nnLuyafejkyZNYtGiRXdsT9xUcWDP9qY/AT9ozBY8Luj97/DevFZTrzpq9bqkwJYYatnQ88VXdRaU0QD+zE5s4dSkuiPnNfexI9SJCzF+rLsU/Ppbz+NPYFogICsA3iw9aTBekuonbUvNjdGvZGPjsNBpqruIvUR2GLWs0EZeiWG2eH913DsBsP/ZUa7RrEIE9J1zfjcKVrS5s5+3q/MGQT9/Ka1/xkY6vfQ6UcZ8RKdWnFEfnjoLPtM28j+NTdQ/VNky5y6mygYd+de7gm6vMfcMnJKlR+KdtBUuhfw+YiDRqm65se3NGLQXm7P1OGkaFAzgLuaoMFVLzMRueuoaIuFqF9s0SAZxEa9k17L+nnXa1fPEwiKZscm3mbGRXUHD58mVcvnzZrgx4yg1IhMT+qA+svIU7vsGCHalu1TULC2tpPdKmGWAQFMRK7+FPKCC28MMnZmkFiKq6hn/1x2Pfnk/hREji6kqrC8kYEkFbW6lt7vzN6L0xmTF487DlcUU5aY1w6471cUNhPlVgqhPV/ViEycT46z7ztlyCE53EEF/8W3ob5dKgB61f3J4/jUWl+ENjfIxGUaHACfcYW2MJ0yM2Xl2K8yxBp7VrJE1SimNV2m1z6vpgM0ODiczPl9e97Ku6i4YxloM+Icj8uF/7Cl+xTYWVENUN9Kzvh3U2TLG4blASPtx5gv+GJnqG3MK2m8GICPADrtq9OzM+Tvndtu0Y9raMOatM8sknn2DUqFE2b9+ypX2zAjojKGjdujX279+v/zs7rBo/eW4lukV9mtXD/oOe3x3V5qDgrbfeEjIfxMM46rE5vEkAlp0RZl+25jE5TIY/rwNSiXHfXtP9yVVlqBT5olrix7ifVMk1nKiOQGDlLYRJVEY1//3bNwe+vGAxH3wL8ACQ5XcNB+8LuUiMBmzf5OhuGSg6sBmlUvuPV1/hg3N3bdvWxyB7lr6zgg5B+O7oLf2nEUHEuSZSKgZMm4aa1I8E4P5BwaOtkrDh20tGr1maEXZcstjiPfhs5xSM2269W83C3o0wdht7iXRsAxXWnKrAXWkQfODcFpcQ1Q3clDqmZUImMv8s/SLu4JtS67O5yKTan2SZqgz3GGpUudKdXkd18fWxIVhqKi7FSYaWPHvUV5fioklwe/wWAKlt+wsPDxc0KMjKysLBg8ytpEFBQXbt28/P/HfnxRdfxLx58zhtz+dzml5HCoUCZWXWS/ddu3bF/v379RVslhqY/FR3cV/qwWMXa0n9ts1tNmlpaYL9R9yf6QMkO974B1U3fefbbWt++LaPSMb12V3N9+Wk7g7KplFQJnL/YZVWaWu0v31lGM5MycZDmU0wuYlxGsOHY7cooGpRLuv+6iu0v0wLHkmEQv8jxf3J4admqRq34MCc0by3sSRGWgkNS54TY+qgQwxzQGSrN7KYu1wESMXwVVlvcZCqzVsunmuhvQYmD+j0oKuN464/XR/wf17O0b/WQOP4fumW+l/ndck0e82exvp6EfYVZkbEamvTlk8ciBCx9nw5OyiY3TXBeQfTaPD1y3kIUN2yntTOQwVWGh9D99zWTWwgU5UJMnOcyIbuQ891acxzC+Nv45kk82uE6Tq2J9jbunUruncXbs58S0GZI1ok2rdvzzmttdmHLPn+++8tvr91K7+ugyIAcpg/u01nPQTs66+fJilFJMM+hVBbBkt7Zkcu4nSmF8rU/u31N9cbWTKEqLWDc6fldtGn6daS5UeA5UE5r20gGtUNMUtnaS52tvuwXnUp5ozqhQ+ffZR1W1P3FgzS/7thTB2IxWIUjO1TcyyOP9lJ0BYCxWIRuipuYmyvtpzzYGhWjn2Duwyx9VXuqrhpcbsGITW17h89xG+Qpi3YumyNat8Yl9/szbzNg03YHskTHmmj/7fhpSf1EUFsZzFMUlVh9PcLbbRdYBT+NcGNv+DrxhvTaIDQan4DUpPCfOGvuo1twxrpr4F5DwJ6Sz9uiShFXJ2aQpel8Qxs+1k5eRBSHgzg1aUYnuLcGkJLUyTaO0iwWZjxCf9ioHb6wTuLR/Daz9KuYQgT85v2OzXIuDnL38/84vOxUHaRq8qQoLYexPLtPtQz5BbGP9KO1zamfBmatxKD+d9cfirLs3FJpebNDIMGDTL6m+vAW2dPxiKRWP4+Ro4cqf83l+5Dffv2RYMGDcwCGGsBBVMrBqAdi8Jn/Z8wX/PvT2LTaD7hjYozrrSrLV3hKSjwIPn5+ZgwYYLRf5s38x8EZ4vRXZob/R0VGoQri0YDAGbk9cCxmf0EOU42w/y9o3q0hq/qLlpKzSN8tmfu3wvHML5uaQ5wIQY7aQDIHjyXRRBhx2ztQ3hSp2QE8JxJRMo0lydPKx4U5NkeV9P7trK4vWEOxvRsA5HJvP6Z8bZ1B2A7b7oHa0ONcbcTsUiEsCBtwdGnyvhhbFqwN12fwvBhrQEgepD8wwl98ds085YsPlSLBuv/PTq+EiO6tMS4Bir9axsHJeDhxtz6ykdXGef7g57G20msDELlM/Xo4jE9cXfxcPTIbKL/9ho+CMgnGQRRpk6/OwYJdWu6i9la5imeb3x/yqUOjpxMWCqsWftI4RamE27vfx0/zBqAZuUiAAAgAElEQVQBNTRWzxd73rT/f0rZHhKe5QzTcklmgyg0f3A/TEsVG6Vh+g6mtAqHgkOPxcax/MZ/fP3CYOuJrHiuj3FQEVl1DV+/MIglNVDHpEZY14oXgEocnsCvP77pd/X+++/btJ2QmAqh1oKCsLAw/b+5/N7JZDKr+zQVEBDAuvCZGPx62TB9e7rtQ1T81/MQvNjOY4fBNuTXFSgo8CAFBQUoLCw0+k+pVDr0mN8+mIoyo1F9i+liIkJwarJ5YYKptvCpFPaHjPFDtObfImgQw/BrxRScp1pYvGbWgGyjv48+w30aRBGMaxiZnvdsPfCfVLZHRkg1NDweIpZqHqzVZv78WAoAoF64aVcP+x6LsmrjLjwz8npY3YZPsKW7Xp5qxz4FqkSj7SrzSNhto20SQnwhAtCtkXGgwlZjHRYUgMb1a2r8EmFfN58Vzz6KxJg6+O/EgfrX+mSnQcFxUPmlRcYF5YQ6xrP6LH04lvGHUHcZ8gnQmL4R3YxY4UHca+0D/NhrDJmOobsu9WlcVLlmqaWArbucrnthY5NbyvBedJcuBCKRCNdmdcXIblmQPGhKe/txJYQqFtUN4TfeQc5jgDeb+nWMuwVdWTTaqEXOmtkda+batzRPfKNGwk2DzBYUOGp9JmsF+OrqmkodLjXbfIOamJgYfUsL03Pf0jHDpeYtAIaHf7qR9n17W3dF0Hajs5fUR8y4+KXuOeGpKCggFinbaOcXtjQTj05SrHn3kuBAf7Pa5fefMm9VaOZTisyG0WZTdZ6eYlyIjzdo2mYrGFfzeGY0ibPeDLyks7Zw1rqOmFPNqH4gqx2/vxoAEgstBdaaUH2l2sJaj8wmFtNZY/oQT/DjP86Bi2d7aMcW6QpVbF+ztl+29t3NrwzX5vHB37ptF4zrgyHRzA9mjXYDRm/0TkdbOUMtMMtMU4HymiZyPxX7KGldAXRZN24Dsic1tnyR6WqcDGuiRTC+Rycw9L9mk9Mo0iifTAVm03tYR2oh4GMqAHRqnmSchnMuhRWu8Gd8PYZhhfR4dSkaaEpR30d7jjskGteStw9n6utu2ydr26SBXc8Nw65BYUEBZgWzQNxHyIOmTH9fCWMBRqOxXulg6QoNU11HKz9+/bZbMLQCm7JWuaDrImnakqNroZX5aj939/qWAwmmijbTwrFhjbslajXLLHV2zvvPhk9QwNbFx5RIJDK7lyUSCV5//XXGtKZ/79y50/g1lufpybkjGV831brOgxYvk6uQy5oiNUG7/U+egscfwdH8Dmb71rVEi6tVTJu5PQoKCCemt5DuAa15t495YhPSausFyWNvj0G3jBSzAkmiyTSFVhZvBQBUW1kDwJIvBpi3iDzTRztodOurI9AlNY6xC1KQqqZvvu7ByHcs3vPGlaiIDmWfrUQu0j7c2RY3khj8gGoHvWrQzKcUCrV5FxNrzbCG3+bJ+WNQPuchi+ktUYZpCxsiEYwGXubmtNS/bo3pj4HuYTykTRKGJ2l/6FY9XzMA3LAwodFoWMeGxEYEY++b5lMERlXfMMqXSF2FO2/2REuD1rOxTeVG2zAVBtj6VBt+/1dmdGJMA2gL62qIkP6gAUG1yLjrhMSgn6/vg4AyjKWri2EAMXVgJ/3+2RR2Z+4uYulO41JrrpvydtqAHKtphTSmZ02rpjKsDL6qckRXleLY64OxebT2WmwVp62ZPrfAuAXHtFvfsLY1gU5GrHYb22bYh76LHJvcKMtTdIkgslig/2vuUHwxRXtvzHnsYZx9VXsvmwaiISLtM1u3r8fjjfuBV6psW1iMDd9FiLuYjIX6+bEUKDTa8T29GhgHfC+1Na6sWjttiNX9v/POO/jkk0/0fxsGBVKpFAoFt5YSpVKJvLw8s8Kyo7oV8QkKZDLhVxA36qr54DMGBARALKo5wVINc2HZ10IXwnrVpXhlUGcA0Ld86Z52Hfy5d8t5MicJIgBBovusz0agZlwgUz4AIFB1Cwp/GZrER+vfMz3H1QsHwhNRUEA4sae/fXZITVDgy1SjalBzYKlgApgXGpmKHYuGsveJtlZQebRDC8bXYx88DIZ2zsTPrz1m9J5hoc4w90wr+YosfL5WjWoeMMkh7A9IP9UdpD8YzMjW1cFf5oubr3UDoO3aBQApEXLG1AFi7Q+F6crOgO77Nt6Kb1cA3XceXVWKHqnaZnu2r8HaVIe946SYbTIAW1e+HdGtFT6YpH0QSyTM3VosXV4yK/3adQFwYPUdBMiFm3Vp3aiacR2RoQZ9UxiuVQ3YF44yfFlXcG1dp+Z7MGzNMPwBU/jLcH9uL1Q/aGKTMAwiZLtvNBqNXQtuiQDUk1bqr1FXeKlfGyRIyyEVawvl3TK00fni8X31aXSXTfV8JcIVNQFghOo6IoJqCqHGX5MDCn5WdmltITuFv0zf5cZXKtEvSqgLIkUmh5A+aJE0nLBhbnYAqqoZpl3lMabFFN/WkR9nG9cq61qg2sqvY+XkQdj7RCoKc5szbcpJ586dkZrKvOo8W+0/k8DAQCQkJDC+7gh8ggJbftM7duxo8f24uDhkZtbMdmbv4Fvd87pgQHOzBTTFD6rkW8dbbrUxHBAs95UiLhBoXdcXWyd2Zt2GbcrmXS9oJ7toGWJ+DVj6pHEcBu+7CwoKCCf29JUd+aAmTa4qw/3FQ83ef6tNTe1YSv26zF04DMRWlzK2UOhqDHq1Yn6YA9aDDjYXWQYuA0yzEml0bzCkZWfYdWr7rJFGD9QnErS1K8koRV2fe3iiE3u3oDtv9kRqQozRitQJkrtIqluzkNTy7g/6nxscg2lw9n+fVGLXBP6zJxV1NX9QX1o0Bu1SzAeSG9JdZy0bMDevfz51CF4cZDw4mK1FRjewkuuA7VYpCZzSmRKrVWbd6wyvM38/qcVoRK3RGDV9ZzaIQlOTpvB+EXfQvUUS1BCxzh5jGFC9NrwHwzSl2jwcm5SJ+LrGXZl8pRJUPSjsRAQHomOApQH5hrWB2mvadCYOgGNBT+TICWL5sZYPkUhkVpD6fDRzBYRELNYvcMi3VtgwuQZAI4NaS6t5FGDBL7Wm5tzN6Gje9/7FQV1RWWXeUvBiX/bKGGdr27QhWiU/eNYI1EctJUUbLOqCgu3bt2PZsmVo3pw9+NA9ww2f5UFBQQgIsH+2rf79+5u9xlTQT0qqackyDGhsCQqsrYHQs2dPfRrD6z4xJgLfDW2o/5vrQG8NNIhXl2JwJ/Oxf51j5fo0APtpHtUp3ejvX98ajU3Th3E6vk4rv2sYXu+e/v5bPq4na9rZHWrGdkVVXQM0GmTH+KMOw5gJdyRYUHDlyhXOaQ1XuCOegcuYAlsZPjDrRYRg75ujzGaO4MJaLZmjyMVq+InMb3jTbywuRI44aTk2Dkpg3I9p2cHwodo6UVtIZitopUlK9d1xmGqx/3x3DOaM6qX/OySQuel4doZ22/e7aLtB1IsIsamw/KSS+3zZhnSfj89YiGWPMddevf24Eqcmt0FkaJB+QDnTQHDTAFOX9pXmNVMTWirXHXkuG/8Zyd6lasqATjj7guXpGE8azMYzqkdrnDCZnWfhmB5oGFMHP0/MwYqnmScXyG2fpu+eJffzhay6ZrrUEbH3oIC24N4sIYZx+2qD2t/ABwOIuQ6+/vg59vU6LBFDY3OgLoTGolJkpyTY3o+fZcPC8Uocyrdcq2pxtyb/1s0ixvZVWZrZZEhmPIamWm6JMesL/uD/hlNMG2JqKTBkmE1rY2QAZ62QbEw3TkY3YYElGo1G/x3pnsshISHIzMzEhx9+yOu4GzduRLdu3Vhr0bkGDImJiZzSsQWlttTiW8uz4fs+Pj41XWnFYqPKOraB3ubXMXOYK1PdQUq08TXN9CknNdYYBbxslZuWxoQFqG5h/5zRWJVf013TcIIKfU5F2gq5lwd307+WVdcXflV3sWbKIPwx3/bVq51JsKDgueeew48//mgxTWVlJQoLC2k1ZA8kxHSdfAxIDraaRgMg6EG57cqMTgiR2biMpZ2OvDYI+1/ujbnZAQ9qTnVjCowfQKvyB+HUu4+jTzbzgn26gcW6gh0fCqkYUhsWgJKYnNdZw7U1IP2zm/HeFx+6B7jpNJq2/FC1b8b+46gb/J7WsB7n/elm3+mVoa1hU8Py3O7NEmLMAjHD32GJxAcJUcYzA/GdTk/XCpCVHI/6kcatMLpj1Y8MwzM9jWstdd/nhxMH4K+5Q9Hen70VrpqhW0S7+tq+04Hymi5jhi1alvrOO7IiQSi/vzOGsavZ3y9bH+MQoLqF1PgoxoJGqCIAqSzBly1G92wDX1U5qlkKeL/PZp8SelpuF7z3pOUpow27pD2aHoPcpjXX68vplrukfPxwXSRbCB4Nu2E1Y5kZ7st881pvQ92CasYQmE5XbKu66ptIk5TqJyywZNSoUZgxY4ZNx0lMTDQavBwQoB0AXrduXYwfP96mffLB1t3J8DfdnoXMAODbb781288333yDRx55xK79Mk0MYRomWGode7RNE2QlM7dOG25lKWxtZ/DoNp0IxZBYJDL7HagXIke4+B7EYrHTy1C2EiyXKpUKixYtwttvv407d8z7Fp4+fRrPPfccvv/+e9Sty74YFfEMfLoT6WoCFSLzRUtWPhKFcQ/Z3uwcF6wtrESGBiEswJf3iH9bCy6GW0UEByIhKuJBtxaRvvKQT/n27LS2GNKpJT7rHYNvX+HXtMnHquHaWnDdwy0jyfJUs3z58FiYBgC+einPqKuKreXIbcO4TSOoDdos11xGhij0LSUAIBFpIGPrZCoAtpryJvXrIufBd2PtB0X3tWlYfrR8pRIo/GXY/QZ7bVWVQeGhcOzDKOoahkVP9MLVmV0w1KD5Xm3av8WOFroQPzEUUvcLHkz7LzN5qnkIosKC9d+HMqwMPVs0tLIVPxrTv6x81RIfXXcVfscx7Hr2xsiHsHB8TeuZYQujTqvG8Tj0tHb81agerfHHu+zdK43yx3KDR4WxVwIFqG5h+6yaMQRnCh5nTcv3SuLaSBUbG4vGjS2vyNyuXU1r4M8//6z/d4sWLTBr1iyjvvaAtv9/hw4dYEroRbDYggLD49hbYFUoFNi8eTO6daupJY+KijKb4Yit1ULmq63QMx0jFyDR/qfz+/OW19UBjGfOatu0AQLkfni0ruUB+mILFWrbZvJbdNBQ4VP9cLHAM1oIdAT7pVu4cCESEhKwe/duTJo0CUePHtW/t379erzwwgv4559/0L17dyxevFiowxIPcvo/5uMJRnRrhYhgboOu3GQKcABAouweUqJM1wAw7p4il1qufekbUfPwSoiKgFgsRl6Xmh+O6NAg+KrucprhiWuxTNmmGe7P7VUTqD0YdGg6nZutxbwuoRXWE8H4x3vn6zUDt60NNGbDtbuRrovZgSfTWdNIJD6Y0LuDPmD8ZXo/fPtCzUBLLpehtS4xuncjVNfN5l/XiYkIwa4H3w3b4GJLRNDwumcMZ+2KrxuOJ5XtEaoIQERwIMRisf46NCxkaFATZJm2QnDp375rZh7+N8sxc7ZbY3hfrRzbBWuesNDdh2lNEpPXvn1lGON4Jr6FvJHtU/BEqmEXEm5343ONgXEWxhoZWtuXe8uZoYU52sK7WCxGy0b1oZpXUxPcKjnepn1aUqfqGo5Pf1j/t6XFJ60RquHK3595Otv69WsqWJgGEi9btgyAcIV+rvsZNYq5UOrj46MfJ8G2Lz7jYerWrcu4GrQ1mnf76GfdMj3aTzMG43+v1ix8Z9htxzBrsQaTZOx5lttMZoaBf4sgbpWJMeHBvBaJ9KQWAh3BlpGsX78+CgoKsHLlSnz11Vd49dVX0bt3b5w5cwYnT56EQqHAxIkT0bYt/0GLxLO81VqOV/abFw75LDTDB5dCc4DqFu5KgwVbXOj42xYGHj84RNFTfVnTAMA3Lw+DaMom1vfbN0vE/cXGXWNyEoJRXlkFKcvsOlz4SiVWC61SH7FgMyYYtsZYmnYOYG+BYnv9+mzbViTO4lGAMe2uoxALNx3j1cXcapEsXbdsZ3J/fhfUDTUPXNlwncrX8NrRbqPN2/TemVCuO8v5eADz+BdX4DJuhu0MWDo3B59MN5q6VsenuhLVPsyzeOV1yTSqHDA8vqVxU7ra/bFfnWJNo2M4cLNvRBl6tmiNNw8XGwWRBR3Mr53n+hsHToZdr9hm/LKHVKQx6npnOvOboSCfaoQaXE+OWEiuf//+OHPmDON7pgXo9PR0REaar93Dtk3Pnj2xbds2znnhGhTUq8ccAIpEIixYsAC9epm3BNlyHC5C/X0RAG4VR4C2G56pzinRqKz+h9dxp/RujQ0fnkBe55rrPiosGKGq67ghDWOtHd89pqnR3wFyP3z1EnMlhtAtPK4iaAjj4+OD0aNH480334RcLse3336L4uJiNG/eHEuWLKGAwEtMH9Ld6O+WDWPMZlNxtbnZxg+b1b2jWVLyY/iz4IgCz/KJA7E6fzAGtEvXD4h9OOSWla3MWeobCQBSiQ/OL2APfGzVPDEWZ6e1ZS3a8P0hZ/rRsCQlUoHEAP5jLwy90MX6AD9LMx4deDIdUp5tMabThBr2sdYy319qQgznVjgASImNYJyW1lRwgBzf5yXqj6pbrMc0B6an8oOezGsdeIJnOiRgQgf+XYMyk+PNagozfa9BobbcnYHJigFJeH2w7YOX2Xzz8jDkpDVCgroUafE1hdjJA9jXzHAWPmPQT84Zhi+mmg94n/BIO6zvH4sRXTLNWkj0XT3V1YwL1/EVERGBr7/+GgDw0UcfoUUL5imumbDVKDPNMsSHpTEF1gqyuqCF66Bmaz5+diBOzxlkPaEFUx/tgm0zRxg9bz4e1Q7LR5nfG7rfk7ZNtfeuaeDK9OkNJ1ewNF6N7VieTvB2jfLycmzbtg3l5eXQaDTQaDT4+++/ceHCBaEPRTxEq5QEs9lUhMF0E7LMtPDgZV0tp+m0lsO6ZDk0V0ITi8X6wbO21FAY/tgG+ACBAvXr1s1aY8hHLIaPwQJ2upo/kcmpypZfhw9LYVqoGWo+mDQQ//ef0Xbtg0tXHsPpYE3xaaUAtH1k/UxaWAz7WAs1eU+vVqmM09KaEovFeCjrQQ0aw5iC6vnaQZWmP5JPPGS8OrknmfpoF7NCcmai7avSWhvXwiSvS6Z+1pYWUssFWFumJj27YIx+EUFbma5AzyTShpnluAiQ+0HGsIZKWFAAcnNaIjjQn3FqSwAIrr6N+ED7ikO6GYpiY5ln1rFVcLD1STcsadCgAePrXIICQPv7MnbsWLvyoOMrleifjWcYrhWNxrbfoW4tG+sL8Gq1WjsVqI1OcxwfY4rLzzDfMXeuIGhQcPz4cUyaNAk7d+5Ew4YNsXjxYuTm5uL69euYOXMmPvjgA6hUnrn0szvIz8/HhAkTjP7bvHmzS/Li6JlFspNi0NK3pv/o6BQZ8tomA6i5+V7vGIX8XubN7EzCJc677hxRYdC+aQJ6BPNvEWDTslE9ZPlpH5y/zB6MHTPMx3vY4s2h5rWLvlIJqhZan7Jy35ujONe2MHVtsAfXbkiTGmvQKzPFekIBlS8eZrXVyVWVVEzdWXQ1nsEBjuku6C50FQkdUhvijVbcP2uLmCCkhdh3wvqn1dR4z80OQESQYxbD4stwBXrdlJ98zGnDHkzzxaUvtwtnw31wfG0GXnrpJdbF0uwVHh7OWNMvEons6vLi6u4yUSH2XysPJ8itJ+KIy/exZWRTq2lcTbAxBZ988gm++uoraDQaDBw4ECNGjIBEIkFCQgIyMzNRUFCATZs24ciRI5gyZQrjKn/EsoKCAtZBTrXNmJ5tMKZnzaxERRMGAABe33xM/xrbHNpMTr09En4vbTF6LdzCMue2ctRvTGpCjF2zIJhqlhCDA3NGA+DfBccSX4MVNfNiLPcdZaoU4hoUCN21get3YDi9oj2EvE5m9G6Bq7f4d0cRglrD3jL2UFZTYA1z/+vaJDjQHzOG9uCcvvCpvvCVSiyOJ7Jm1vCe2HziYxy4H27W6rlqcFMkxQjfVcuwtc8ZRBoNp8HB0VXCdE1luidzcnLQqVPNs0bX+4FJt27dkJ1tuaXk4MGDjK/n5uZi+/btjO/5+jKPPeFTKG/SpInZWAjDdQS47kskEiEmRjvVLt9F+bjg01DwtLI9Jv7MXCk6vVsint1p2sXS3Or8wfjMjvuQr3ZNG2Je23+ddjxbCNZSsGHDBoSGhuLNN9/E6NGjjZbbTk1NxXvvvYeOHTvi/PnzmDJlilCHJV6meV1/pEfw76vPNMC1dPEowWcG0EAEEURY0tn6lIY6E5Pt6+MutNjqUv0Ucfb4bMpg64lMDOnUErtGc1+4jAADO7TQLxbn7IrPvLbJGJHEXGghzNgC3/tzmQd88u0KNLBDC17rcnDFpbXPUKrU9pmCAODZND/seqG31XSXFjF39wgJkCPD176uSgsWLODcpz8hIcEogOCCS2G8VSvr03CyGTduHOPrI0aMQFhYGO/afh8fH2zcuNHm/BiqE6JAtty4Yi7Wl3uLvqXf7kl9cx6kcU5rRhNxKVo2tL4uSYDcDy/wqMx0BcFaCjp06IAJEyYwTsUFaKfxmjJlClq1aoWlS5cKdVjipr7JFX56OgBYO22IXds7YzCQSAQ804fbtGju6CKHfuVs+DyETccUANrgLSeN25oDxLWScBXDuvTRd6PpnJ6ExVfsKwh6A7Z7hKniwsW9W+xy7O0xNrWGtJZdQ+M6gRjVJRsN7WjxCJD78Ro/ZE/F9/vvv4/QUOaphS0f0/pBMzKYx0FwwTYe4fnnnwcAQbpz2zqBjMJfhn1vGs++NiIzFq8evGd3npztpEPGTLqGYEHBCy+8wCldx44d0bSp+/erIvbp25Z9HnhHyW4UhZNXTjv9uKac3dPS3SY9GBUnfDeD2jKzQ21y6l3jRaQC5H76GjrCTqjWSU+8JeQSEfzElltGf31rtHMyY0ACNXw4Drplql1v08b2BTiZjuEsumOxBSeO6CLElaTKenAQWHkLUSHsrWJqtQZcbrfYYBl4zJRaqwkWFPARERFhPREhPE3o3QETepuvEOlMhouXcSXEj4C71CiKAHz8nPVuBu6SX0soECFMshvXR9aBXa7Ohkfa/GIu7quqEP2W67+/cVnRCFdoB5r++pIS/jLXdoPLysrCggULMHPmTKcdk8uYArb3HBG8cFwqRe/Ggjyzljdd0F0+5yHOa2esnTYE0f/dhEV/aP/25ie/YEHB8ePHeaVv1qyZUIcmLuBpq/TpCDW1pSXeXJbk1YfTC78n08VwhOaM69vbtW3aEAfm8F+zwBYaTe16ngg5qYG9Xh/5kP7f9nRTEkpISAhycri3tAlRKHf1DEL2Yir069ZlkDNMT8vV5il9kPbW9zZv78kECwqmT5/O6wL75ptvhDo0IW5DY8MM4WI7SsceXQTkkXlPLOz2Cr1t9hqfxXAIscSWtQiI50hLS8OxY8esJ+TA1m5Azu4+5MruSoYSoiJQ9p5ws/15EsGCgi5dujAGBRqNBqWlpThz5gzKy8vRunVr1sHIhDiaswYaO5ObPEcBWF8pWccbijPfzRju9GNSlyfrlGFlrs6CkaKuYXjqR+7TI2ve7ePA3BBnYioEL168GGPGOGfgKpcWf2e2Jsj9pACcO/UtMSZYUDB58mSL75eVleG9997DhQsX8M477wh1WEI8nj3PXN2mIX4+CBR7zsKAbhTHuISjPr8ntqg427evDHN1FvR8qu4jOkwBQPg1UzwRBbXaFgKhxMXFWXzfWoHfz88PMhnzwnxC5lMnWO64cR2+qnKH7bs2cVrHcIVCgfz8fJSXl+OTTz5x1mEJqfVEIuDLFwbj+Jv2TdfqdDx+/6mwQGqbbkE3IdN43vSLQgtR1Uxj6+5BraXFy2xhrVBu63SfOu3atbPr+BMnTkRBQQHje7Gxsaw9RNzR/cUe9vvoIk4dLSqTyZCcnIz9+/c787DEy72WyVzT4Qiu+kmT+/kiOND1q1279086Ie6DxgRopQZ771PDUoAhEonw3nvvWXzf0WQymcu6ezvrqjg+KdNJR/IMTp9CpqKiAnfu3HH2YYkAtg9PcnUWbDJzWA+nHs+bf+q5jikA4NURhDdfI97McDyAxptvAANu3jhghG2dAqH16NHD5haJLl24r5jrqbMICik1wfpKxN7EqesU7N+/HydOnED9+vWdedhaIz8/3+wmViqVUCqVTjl+t4wUYPWfTjmWoyREhSEJpQ7bvwYiiJiW6nXY8dyLWmN5YSKi5ajz5i6zdxBurD0qov1FCPLjNtc6qT3kcrlTjuNuXX+Mbwf+eRte7x4aucH0sp5MsKBg0aJFrO9VVFTg0qVLOH/+PDQaDQYMGCDUYb1KQUEB/P1d30XEk8XXDcepdx04s4OG/4PWzZ7LzuPmn5vGMRBnsNS6tn/OaNb36PL0fK4O4t0tKDAk0fCfOGNV/iAH5MS7CBYU7Nixw2qaOnXqIC8vD127dhXqsIS4FY3I7cu6HmNGC+1MFJFV19AwyrGLfjFx90GPhNQGhuVSCsQdw1rwwSU4GDTI8QVuXS6CVDfROLDa4cczOjZdegAEDAreeust1vekUilCQ0NRt25doQ5HXESuKkOFVOHqbLg1vs8WewccutOARa5jCrQ/Upbz/caDFUevLBptZ67cz9iWdfD2cef+6BH3okyPQ/jpf12dDcHxfRpR7G0btoI8n9YH3T7i4uJw6tQpi2lffPFFu47FhW5vEqipkO4iggUFjpizlrif//ZLwsjvat8PmVC+H98W0WFBrs6GU/mq7qJSGoAW0muI4vHZRW43IsKYI2stG0YGwxFz03dKa4R5/1wTfL9EeJMHdAIAfL3niE3be3KZaXITYEGxq3PherGxsXjsscfs2sfQoUPx+eef27Stbozihx9+iJycHJv24c5dkAh/NPSc8CIW0wPAknPXyOUAACAASURBVA7NEpHIc6CTfc9U15+PznWqAAC/zR2NUEUA5+00bpD32iY40B8v5HKffcQZ6lRRkEKMFYz1zFWZIyMjUa9ePcH2FxYWhmeffdaufcTHxxv9bUtLgTvOQuROLeDexKmzDxHPx2vKSeIVJDYEilS75D0GNQlFoWdPWkZ4WDwgFXWDuc9t72Pw/HD3cTzjxo1zynG4FOylUikAbV//efPmWUzrKc9bV44pGdEpHT7iYy47vruwOSgYO3aszQcViURYvny5zdsD2hmNVq1ahd27d6OsrAyxsbHIzc1Fx44drW576tQprFq1Cr///js0Gg2SkpIwYsQING1qPphR6LTHjh3D9OnTGfM1f/58pKSk8PgWSG3g6YPrPpnYD+ev8KsN5jKmwNWaJ8aiqOs/rs4GqeVsLQi7690zrEsWr/RPdXH+JAK2cpfC9YEDBwQZU6DjLp9rdI/WyGj0Dx5a8rPT1/HITI5HZnK89YS1nM1BQUlJiZD54G3OnDn4888/MWrUKNSrVw87d+7E/PnzoVar0blzZ9btTp06hZdeegnJycmYPHkyAGDDhg2YMWMG5syZY1Qod1RaAHjsscfMxmGYNgMS4gkiggMRwaNmUMfdxxT4SiV4Utne1dnweK6edrG2qi3fKt8gwhtYK6S7SyFeaL5SCbKS49024PUGNgcFGzduFDIfvBw8eBCHDx/G1KlT0amTdrBWeno6SkpKsGLFCuTk5MDHh3nBl9WrVyMgIACzZ8+GTCYDADRv3hzjxo3DRx99hLffftvhaQEgJibGI1sFaEyBsPaPS0NKXJSrs0EIcRF7WgpDVDcEzInreXqrqTtgCsIpMCdcud/oEg727dsHuVyODh06GL3evXt3XL9+3eLUWsXFxUhLS9MX3AHA398fqampKC4uxvXr1x2elhCdVikJUPjLrCdkQY96z0TnjRBii/r16wu6v19++cXmbSnYqH1sDgpeeeUVbNiwgfG98vJyVFZW2pwpa86fP4/Y2Fiz1oCEhAT9+2xUKpV+gI4h3Wvnzp1zeFoAKCoqQr9+/TB48GDMnDkTJ06cYM2zO6GBxkQI8/M64qNBzVydDUJcrraNKSCOsXr1agDAhAkTBN2vRGLffDOO6MoU4KOGwpe5twdxLJuvhmPHjiEyMpLxvby8PHTr1s3uqbbYlJWVISrKvMuFQqHQv88mLi4Of/zxB9RqtX4arurqan3rguG2jkjr7++Pvn37olmzZggKCsLly5fx5ZdfYvr06Zg1axYyMjJY815eXm7lm9GSSqWMAQoh7qJVSgJapSS4Ohsu400FOnefUYYQT8JUiJdKpVCpVPq/U1NTeVU0utsYhcOvD4avncEKsY1DvnWNRuO2zUq9e/fG4sWLUVRUhCFDhkCtVmPNmjX6gdOG8/U6Im1iYiISExP126WmpiI7OxuTJk3CihUrLAYFY8aM4fQZ8/LyMGzYMI7fCD80poAQQtyDe/7KEkdimmHRVeUtRx2Xz3o3RFgeGYopFArG1gDda7oWAyY9evTArVu3sG7dOmzZsgUAkJKSggEDBmDDhg0ICwtzeFpTgYGBaNWqFbZs2YL79+/Dz8+PMd2KFSvg7+/Puh8daiXwLm5WyUM4oMIc0WnXtAHGHf6L93Z039delgrbTJOopKen49ChQ/q/7e0SxIe7tTIQ+3hkUJCQkIBdu3ahurra6AbRjSWwNrVnbm4u+vXrh0uXLkEulyMyMhJLliyBTCZDo0aNnJLWlO4hYOkG8/f35xQUEEKIO/i0VxSykmKxbPFBV2fFbUWFBeO/Ewe6OhvEzVkKFPr27WsUFAQHB2P37t3OyBapZTxy9qHs7GxUVFRg7969Rq/v2LEDYWFhSE5OtroPqVSK+Ph4REZGoqSkBLt370bPnj0Za+kdlVbnzp07OHDgABo2bAhfX18O3wAhNdy0px4hGNm9FeIi2VtJCSHmTCsHdYOM2bRt2xYLFy4EUBM8GM6E6K7duYn78ciWgqysLLRo0QKFhYUoLy9HdHQ0du3ahUOHDmHKlCn61oNjx45hxowZGDp0KPLy8gBoWxP27t2LRo0aQSqV4uzZs/jiiy8QHR2NESNGGB3HEWnnz5+POnXqICkpCUFBQbh06RK++uor3Lx5E88//7yDvzn7dU5rhGf+oFVeCSHElUReNVzduzVu3Bi///476/vh4eFGU7Tz7dJjaxegTp06UcBRy9gVFPz444/48ccfzV4XiUSs7+l888039hwa06dPx8qVK7F69WqUlZUhNjYW06ZNMxuEo1arjS5aiUSCI0eOYNOmTaioqECdOnXQq1cv5ObmGkXWjkqbkJCA3bt34/vvv0dFRQUUCgWaNm2K/Px8Ti0crhYTEYIlT/VzdTYI8WjeVJyT+0mxbZjl7pPEOz2RoLKeiPDizEJ6v35UFqht7AoKXBkhyuVyjB8/HuPHj2dNk5aWhk2bNhm9Vq9ePcydO5fTMRyRdtCgQRg0aBCnfRJCaidvqlsTi8XokdnE1dmodTTQwNPDyw8m0VgKR6DBv8RWNgcFGzduFDIfhBAb0fOfEEJqN64zClF3HmIPjxxoTAghhHgzGlPgXRITE/HDDz9wSkstBcRWFBQQQgghxOWoMMtOJBIhNDTU1dkgtRwFBYQQQogH0lBrASFEQB45JSkhhHiyUd1bISma/yq2hOhQpTph8uijjzKuekwIFxQUeJD8/HyIxcaNO0qlEkql0kU5Iu5ATIUDjyP380W3jBRXZ4MQt0KDZO3XqVMnV2eBeDAKCjxIQUEB/P39XZ0NQgghhNQSNJaD6NCYAkI8Gj3MCSGEEGI/CgoIIYQQ4nJUY02Ia1FQQAghhHgYPx8xJFC7OhuEkFqExhQQQgghHmbt5AEoq7jn6mwQD0IDuYk1FBQQ4uFoZVNCvE9YUADCggJcnQ1SC1C3LaJD3YcI8WBU70MIIYQLKvwTaygoIIQQQgghxMtR9yFCCCGEuNS77RUY0rGFq7NRq9GYAmINtRQQQgghxKXyB3ZGvYgQV2fD67Vu3drVWSAuREEBIZ6OuokSQgixkeFYg+eff96FOSGuRkEBIYQQQkgtpes2xGWgMQ1G9m40psCD5OfnQyw2juOUSiWUSqWLckTcAnUTJYQQIgAKCrwbBQUepKCgAP7+/q7OBiGEEEI8DA00JtZQ9yFCCCGEOJXm3T6uzgJhQC0F3o2CAkIIIYSQWo6twG/4OgUF3o2CAkI8HT3DCSGECICCAu9GQQEhhBBCSC3HZUwBBQXejYICQgghhJBaSi6XuzoLxENQUEAIIYQQUktNmTIF4eHhnNJSS4F3o6CAEEIIIaSWkslkkMlktHgZsYqCAkIIIYSQWo7GFBBraPEyQjyaCCJa0pgQQmqNiRMnorKy0iXHpqDAu1FQQAghhBDiJsLCwlydBeKlqPsQIYQQQgihlgIvRy0FHiQ/Px9isXEcp1QqoVQqXZQjQgghhHgCGmhMrKGgwIMUFBTA39/f1dnwWBsG1Hd1FgghhBCXoIHGxBrqPkS8xsAOLVydBcFpRICYHuKEEEIEQEGBd6OggBBCCCGEEC9HQQEhhBBCSC1HYwqINRQUEEIIIYTUcjSmgFhDQQEhhBBCCCFejoICQgghhBBCLQVejoICQgghhBAv1qBBAwAUFHg7CgoIIYQQQrzY+vXrXZ0F4gYoKCCEEEIIIcTLUVBACCGEEEKo+5CXo6CAEEIIIYRQUODlJK7OAOEuPz8fYrFxHKdUKqFUKl2UI+IO6BlOCCFECBQUeDcKCjxIQUEB/P39XZ0NQgghhBBSy1D3IUIIIYQQQi0FXo6CAkIIIYQQQkGBl6OggBBCCCGEUFDg5SgoIIQQQgghxMtRUECIRxOB6nUIIYQIgVoKvJtHzj5UUVGBVatWYffu3SgrK0NsbCxyc3PRsWNHq9ueOnUKq1atwu+//w6NRoOkpCSMGDECTZs2dUpae/JOCCGEEOIoFBR4N49sKZgzZw527NiBoUOHYvbs2UhKSsL8+fPx888/W9zu1KlTeOmll1BZWYnJkycjPz8flZWVmDFjBn7//XenpLU174QQQgghhDiKx7UUHDx4EIcPH8bUqVPRqVMnAEB6ejpKSkqwYsUK5OTkwMfHh3Hb1atXIyAgALNnz4ZMJgMANG/eHOPGjcNHH32Et99+26Fp7ck7IYQQQgghjuJxLQX79u2DXC5Hhw4djF7v3r07rl+/jlOnTrFuW1xcjLS0NH3BHQD8/f2RmpqK4uJiXL9+3aFp7ck7IYQQQogjUfch7+ZxQcH58+cRGxtrVqOekJCgf5+NSqWCVCo1e1332rlz5xya1p68E8JE4+oMEEIIqTUoKPBuHtd9qKysDFFRUWavKxQK/fts4uLi8Mcff0CtVkMs1sZD1dXV+hp6w20dkdaevANAeXm5xfd1pFIpY5BCail6hhNCCCHETh4XFNijd+/eWLx4MYqKijBkyBCo1WqsWbMGJSUlAKAv0DsyrT3GjBnDKV1eXh6GDRsmyDEJIYQQ4tmCg4ONujgz+frrryGXy52UI+KOPC4oUCgUjDXqutd0te5MevTogVu3bmHdunXYsmULACAlJQUDBgzAhg0bEBYW5tC09uQdAFasWAF/f3+LaQBQKwEhhBBC9JYtW2a1bBAbG+uk3BB35XFBQUJCAnbt2oXq6mqjvvm6/vjx8fEWt8/NzUW/fv1w6dIlyOVyREZGYsmSJZDJZGjUqJFD09qbd39/f05BASGEEEKIDrUAEC48bqBxdnY2KioqsHfvXqPXd+zYgbCwMCQnJ1vdh1QqRXx8PCIjI1FSUoLdu3ejZ8+e8PPzc2haIfJOiKFAzT2Eyn1dnQ1CCCGEeDiPaynIyspCixYtUFhYiPLyckRHR2PXrl04dOgQpkyZoq+BP3bsGGbMmIGhQ4ciLy8PgLZGfu/evWjUqBGkUinOnj2LL774AtHR0RgxYoTRcRyRlmveCeHqwtzBkPtSdzFCCCGE2MfjggIAmD59OlauXInVq1ejrKwMsbGxmDZtGjp27GiUTq1WQ6OpmbRRIpHgyJEj2LRpEyoqKlCnTh306tULubm5ZgNwHJWWa94J4ULhb3ngGCGEEEIIFyKNYamZuKXy8nIMGTIEa9eupTEFhBBCPIJoyiZo3u3j6mwQnrKysnDw4EFXZ4MIiGs50uPGFBBCCCGEEEKERUEBIYQQQgghXo6CAkIIIYQQQrwcBQWEEEIIIYR4OQoKCCGEEEII8XIeOSWpt8rPz4dYbBzHKZVKKJVKF+WIEEIIIYTUBhQUeJCCggKakpQQQgghhAiOug8RQgghhBDi5SgoIIQQQgghAID09HRXZ4G4CAUFhBBCCCEEAPDRRx+5OgvERSgoIIQQQgghxMtRUEAIIYQQwZ2d1tbVWSCE8EBBASGEEEIElxAV4eosEEJ4oKCAEEIIIYQQL0dBAYFKpcJnn30GlUrl6qwQK+hceQ46V56DzpVnofPlOehceRYKCghUKhXWrFlDN60HoHPlOehceQ46V56FzpfnoHPlWSgoIIQQQgghxMtRUEAIIYQQQoiXk7g6A4S7/Px8iMXGcZxSqYRSqXRRjgghhBBCSG1ALQUepKCgAEqlEoWFhfr/3Dkg2Lx5s8fs15Py6gie9Pk9Ka+O4infK50r+l7pXNG5cgT6Xh2zXwoKPAzdtHTTOoInfX5PyqujeMr3SueKvlc6V3SuHIG+VwoKCCGEEEIIIQ5AQQEhhBBCCCFejoICQgghhBBCvBzNPuQBNBoNAKC8vBxqtRrl5eWC7l+3P6H364i8Omq/npJXOleek1dHnSvAc75XOlfe/b06ap+e9Bykc+U558pR+3WHvOrS6cqTbEQaaymIy5WWlmLMmDGuzgYhhBBCCPFQK1asQEREBOv7FBR4ALVajevXr0Mul0MkErk6O4QQQgghxENoNBpUVFQgLCzMbL0rQxQUEEIIIYQQ4uVooDEhhBBCCCFejoICQgghhBBCvBwFBYQQQgghhHg5mpLUQ5WXl2Pt2rX466+/8Ndff+H27dvIy8vDsGHDjNL99ddfWLlyJc6dO4fbt2/D19cX9erVg1KpRJcuXYzSHjlyBD///DOKi4tRWlqKgIAAJCUlYejQoWjUqJE+3bFjxzB9+nTGfM2fPx8pKSnCf2AP5ohzxSdtRUUFVq1ahd27d6OsrAyxsbHIzc1Fx44dHf7ZPZErzxfdW/w44lyZ2rp1K5YsWQKZTIb169cbvUf3FneuPFd0X/HjiHPF5xzQfeU6FBR4qLKyMmzduhUJCQnIzs7Gtm3bGNPdvXsXERER6NixI8LDw3Hv3j3s3LkTBQUFKCkpwZAhQ/Rpt2zZgrKyMvTt2xf169fH7du38dVXX2Hq1Kl47bXX0Lx5c6N9P/bYY0hLSzN6LT4+XvgP6+Ecca74pJ0zZw7+/PNPjBo1CvXq1cPOnTsxf/58qNVqdO7c2dEf3+O4+nwBdG9x5YhzZejatWtYsWIFwsLCGOcDp3uLO1efK4DuK64cea64nAO6r1yHggIPFRkZiTVr1kAkEuHWrVusN21aWprZDdi6dWtcuXIF33//vdFN+9RTTyEkJMQobUZGBsaPH4/169ebBQUxMTFUw8KBI84V17QHDx7E4cOHMXXqVHTq1AkAkJ6ejpKSEqxYsQI5OTnw8fER8uN6PFeeLx26t7hxxLky9P777yM1NRWBgYHYu3ev0Xt0b/HjynOlQ/cVN448V9bOAd1XrkVjCjyUSCSya80ChUJhdmOZBgQAIJfLERcXh9LSUpuP5e0cca64pt23bx/kcjk6dOhglK579+64fv06Tp06ZXO+aitXni/CjyPP1U8//YTjx4/j6aefZnyf7i1+XHmuCD/OfAaaovvKtailwEuo1WpoNBrcuXMHu3fvxm+//YYnn3zS6nZ3797FmTNnkJ6ebvZeUVER3n77bfj5+SElJQVDhgxBamqqI7LvVficK2tpz58/j9jYWLMHdEJCgv79Jk2aOOyzeAMhz5cO3VuOwfX7v3nzJpYvX45Ro0axrv5J95ZjCXmudOi+cgw+z0Br54DuK9eioMBLLF26FN9//z0AQCKRYPz48ejVq5fV7YqKinDv3j0MHjxY/5q/vz/69u2LZs2aISgoCJcvX8aXX36J6dOnY9asWcjIyHDY5/AGfM6VtbRlZWWIiooy206hUOjfJ/YR8nzRveVYXM/V0qVLERsbi0ceeYR1X3RvOZaQ54ruK8ficq64ngO6r1yLggIvMWjQIPTs2RO3bt3C/v37sWzZMty7dw8DBw5k3WbVqlX4+eef8eSTTxrNPpSYmIjExET936mpqcjOzsakSZOwYsUKesDaic+5suW8EmEJeb7o3nIsLudqz5492L9/PxYtWmRXFwpiHyHPFd1XjsXlXNE58AwUFHiJyMhIREZGAgCysrIAAJ9++im6deuG4OBgs/Rr1qzB2rVrMXLkSPTu3dvq/gMDA9GqVSts2bIF9+/fh5+fn7AfwIvwOVfW0ioUCsaaFd1rutoXYjshzxcTureEY+37r6ioQFFREXr37o2wsDDcuXMHAFBVVQUAuHPnDiQSCWQyGd1bDibkuWJC95VwbHmuAczngO4r16KBxl4qOTkZ1dXV+Pfff83eW7NmDT777DMMGzbMqNuQNRqNBgCodk1gls6VtbQJCQn4+++/UV1dbZTu/PnzAGg6Pkew53yxoXvLMUy//9u3b+PmzZv4+uuvkZeXp/9v165duHfvHvLy8vDOO+8AoHvL2ew5V2zovnIMPs9A03NA95VrUUuBlzp69CjEYrFZ373PP/8cn332GYYMGYK8vDzO+7tz5w4OHDiAhg0bwtfXV+jsejW2c8UlbXZ2NrZu3Yq9e/ciJydHn27Hjh0ICwtDcnKyw/Ltrew5X0zo3nIc0+8/NDQUc+bMMUv3xRdf4Pjx45g9ezaCgoIA0L3lbPacKyZ0XzkO12cg0zmg+8q1KCjwYAcPHsT9+/dRUVEBALhw4QL27NkDAMjMzIRMJsOSJUsgl8uRnJyMkJAQ3L59G3v27MH//vc/DBw40Khp76uvvsLq1auRkZGBrKws/P7770bH080tPH/+fNSpUwdJSUkICgrCpUuX8NVXX+HmzZt4/vnnnfTpPYvQ54pr2qysLLRo0QKFhYUoLy9HdHQ0du3ahUOHDmHKlCk0HSYLV50vurf4E/Jc+fr6ms27DgDbt2+HWCw2eo/uLf5cda7ovuJP6Gcg13NA95VriTS6thvicZ544gmUlJQwvvfBBx+gbt262L59O7Zv346LFy/i7t27kMlkaNCgAXr27Gm2DPnLL7+M48ePsx5v06ZNAID169dj9+7duHLlCioqKqBQKNC0aVPk5uZSFM9C6HPFJ21FRQVWrlxptGT8oEGDaMl4C1x1vuje4k/oc8VkwYIF2Lt3L9avX2/0Ot1b/LjqXNF9xZ/Q54rPOaD7ynUoKCCEEEIIIcTL0UBjQgghhBBCvBwFBYQQQgghhHg5CgoIIYQQQgjxchQUEEIIIYQQ4uUoKCCEEEIIIcTLUVBACCGEEEKIl6OggBBCCCGEEC9HKxoTQlyqT58+vNJHRkbiww8/xJUrVzB27Fg0a9YM//nPfxyUO/dx8eJF/Prrr/jtt99w6dIl3Lx5E4GBgWjSpAn69euH1NRUTvs5fvw4pk+fDo1Gg4cffhjPPPOMWRprCxnOnj0bmZmZRq9xOY/p6el46623zF4vLi7G2rVr8ccff6Cqqgr169eHUqlEt27dWPdVWlqK1atX49ChQygrK0OdOnWQk5ODwYMHw9fXl3GbyspKrF+/Hrt27cLVq1ehUCiQkZGB4cOHIyIiwmr+dbZv345Fixbp/w4ICMDnn39ulIbp+5BIJAgJCUFqaipyc3ORkJCgf8/ad85Et4iUbqEp3d86pgtQicVi+Pv7Izg4GImJicjIyEBOTg7r92Ur3XF1C166ozt37iAvL8/otTlz5jCukkyIt6CggBDiUl27djV7rbi4GJcvX0aDBg3QoEEDo/eCgoKclTW38uqrr+LatWvw9/dHcnIyUlJScPHiRezbtw+//PILnnjiCfTr18/iPlQqFZYsWcL5mO3atYNMJjN7PTw83Ow1pvOoc/DgQdy+fRtNmzY1e2/fvn2YO3cuNBoNUlNTERQUhCNHjmDhwoU4e/Ysxo4da7bN5cuXMW3aNNy6dQvx8fFo2rQpTp8+jbVr1+LIkSOYM2cOpFKp0TaVlZWYMWMGiouLERYWhjZt2qCkpATbt2/HgQMHMH/+fERHR3P5WvR016efnx9rGsPvpby8HKdPn8bOnTuxZ88evPbaa0hPTwcAZGRkIDIy0uxzFhcXIyQkBBkZGWb7Zjo3TAzPY3l5Oa5cuYLdu3dj165d+Pjjj/Hcc88hKyuL075qC4lEoj83uucNId6OggJCiEtNnjzZ7LUFCxbg8uXLyM7OxrBhwxi3Cw8PR2FhocUCWW1Sv359jBkzBu3atTMq8G7ZsgWFhYX46KOP0LJlS8TFxbHuY+3atbh06RJ69OiBbdu2WT3m448/blTzbAnTeQS0NbL/+9//AABdunQxe2/RokVQq9V4+eWX0a5dOwDAjRs38OKLL+Kbb75B69at9QVnnUWLFuHWrVvo06cPxo8fDwCorq7GvHnzsG/fPqxbtw7Dhw832mbdunUoLi5GSkoKXn/9dcjlcgDA119/jQ8//BCLFi3C3LlzOX1WHUvXp47p91JVVYXFixfjp59+wvLly/Hee+8BAAYNGmS27fbt21FcXIzY2FjW75cLpvN448YNrF27Fps3b8Ybb7yBmTNnmrX+1GYymUz/neqeN4R4OxpTQAjxSBKJBPXr1zerXa2t3njjDXTq1MmsBrxXr15o2bIl1Go19uzZw7r9hQsXsGHDBvTo0QNNmjRxdHb19uzZA5VKhcaNGyMmJsbovW3btuHu3bto06aNPiAAgNDQUIwZMwaAttBu6NSpUzhx4gRCQkL0aQDAx8cHTz/9NCQSCb799ltUVVXp36uqqsK3334LAHjqqaf0AQEA9O/fHwkJCThx4gROnz4t3AdnIZFI9IHEuXPncOfOHYcfk0loaCieeuopjBgxAmq1GosWLYJKpXJJXggh7oFaCgghHoltTIGuv3deXh66dOmCTz75BEePHkVVVRWaNGmCJ554AnFxcaiursaGDRuwY8cOXL16FREREejXrx+USiXr8davX4/ffvsN169fh7+/P5o1a4ahQ4eadXFytgYNGuC3337DtWvXGN/XaDRYsmQJAgICMHr0aPz6669Oy9tPP/0EwLyVAAD2798PAGjfvr3Ze1lZWfD19cWRI0dQWVmp7/d+4MABAECrVq3MAqTQ0FA0bdoUR48eRXFxsb5/+MmTJ3H37l1ER0cjMTHR7Fjt27fHuXPnsH//fjRq1MiOT8tNSEiI/t/V1dUOP54lubm52LZtG0pKSrB7927G88SkuroaX375JX744QeUlpYiLCwMnTt3xpAhQxjTazQa7Nq1C7/++ivOnDmDa9euQSwWIzY2Ft26dUOvXr0gFtfUUy5duhTfffcdJk6ciIceeohxf+PHj0dJSQmWL1+urxy4ePEi1q1bh99//x3Xrl2DXC5HeHg40tLS8OijjyIsLMyGb4kQ70AtBYSQWunKlSuYMmUKzpw5g2bNmqFu3bo4dOgQpk+fjhs3buA///kPvvjiC9StWxdpaWm4evUqioqKsHXrVrN9nThxAs8++yy2bt0KmUyGNm3aICYmBvv27cPUqVNx9OhRF3zCGv/++y8AbaGYyXfffYfi4mI8/vjjUCgUnPf7ww8/oLCwEEVFRdi4caPRoFUuSkpKcPLkSUgkEuTk5Ji9f+7cOQBgLKhLpVLExcWhsrIS//zzj/71s2fPsm5j+LouneG/GzZsyHkbR9K1IzkUYQAADbBJREFUSAQFBSE4ONgpx2Tj4+OjD8qOHTvGebv58+fj008/xc2bN5GRkYGEhAR8/fXXmDNnDjQajVl6lUqFd955B7/99huCg4PRunVrJCcn48KFCygqKjIauA1oW8AAMN6PAHD06FH8+++/aNGihT4gOH36NJ5//nns3LkTwcHBaNu2LZKTk1FVVYWNGzcaXUeEEHPUUkAIqZV+/PFH9O/fH2PGjIFYLIZGo8GiRYuwY8cOvPLKKxCLxSgsLNTPOnPkyBHMmDED69atM6qZLC8vx7x581BZWYmXXnrJqFb78OHDeO2111BQUIDly5eb1Vw7w+XLl/W1523atDF7/9q1a/j000+Rnp5ucTAwk7Vr1xr9vWLFCgwZMgRDhw7ltP3OnTuh0WiQmZlpNkC8vLwcd+/eBQDWmX8iIiJw+vRpXL16Vd8ac/XqVavbGKazdRtHuHv3Lk6dOoVly5YBYB5H4Aq6YOnixYuc0usGSkdFRWHu3Ln6gef//vsvXn75ZZSWlppt4+Pjg5dfftmshefWrVuYPXs2fvzxR/To0QPNmjUDACQkJKBJkyYoLi7G2bNnzVrjdMGC4b26adMmVFZWGo1P0bl48SICAgI4fT5CvBW1FBBCaqXo6GiMHj1a3yVBJBKhf//+ALQFhPHjxxsVEps3b46GDRuipKQEV65c0b/+ww8/4MaNGxgwYIBZN5cWLVrgkUcewbVr1/QFc2eqrq7GwoULoVKpkJOTw9j1paioCJWVlXj66ac57zc1NRX5+flYvnw5vvjiCxQVFWHkyJEQi8VYvXo1Nm7cyGk/lroOVVRU6P/NNlhcN2OOYdp79+5Z3Eb3ui3b6NIJqU+fPvr/hg4dipkzZ+Lu3buYOnWq/np0NV3AxnV8w5YtWwAAw4cPN5qJKioqirX7kI+Pj9kgeQAIDg7GqFGjAMCsW9vDDz8MAGaD4m/fvo1ffvkFISEhaN26tf71W7duAYDZwHRAO1Cfug4RYhkFBYSQWqlZs2bw8fExei0qKgqAdrCnrkbSkG5Kyhs3buhfO3z4MADtTDNMdNNs/vnnn/Znmqdly5bh5MmTiIqKYiz07927F7/88gtyc3MRGxvLeb8jRoxAly5dEBUVBT8/P9SrVw+DBw/GK6+8AgD47LPPcP/+fYv7OH36tL521rDgxgdTNxTdayKRiPd++GwjlK5du+r/69ixI1JSUnD79m18/PHHvLrrOBKf76eqqgp//PEHxGIx41iQjh07Wtz+r7/+woYNG7B06VIsXLgQCxYswHfffQcAuHTpklHaDh06QKFQ4KeffjK63n788UeoVCp069YNEklNhwddULxgwQKcOnUKarXa6uchhNSg7kOEkFqJaS59Xc1zaGio0aBGHV2NseEsLP/f3r2GNP39cQB/T53WNrXmJVrNCktxatLFIjLQjGqkDzJqFkJED5IINbphD4oiuz1IV5HYg+797OYFRcQKC9FcatYsZiunltNSw7So1pr6fxDfb5v7bs4y+9c+LxDku+/5nk334HzO+ZzzYVYNduzYYbe/Dx8+DPueysrKoNFoLK55eXlh8+bNw7YdKjc3F6WlpZgwYQIOHDhgtVfg8+fPyMnJgUQiGbU0lblz52LmzJloamqCVqvlnJFl3L9/H8D3gR1XWpX5CUBfv36FQCCwuocZCJrfy/xua1b/V9o4eu7/SHAdJarT6ZCeno79+/fjzJkzbLD6pzDfXZFINOy9Hz9+hMlkglgs5vy/CgQCCIVCNjWM8e3bN2RlZaGiosLms81XdwDA3d0dMTExKCoqQlVVFZv+dvv2bfB4PCxfvtzi/oSEBGg0GtTU1KCmpgZCoRBBQUGIjIxEbGws53eMEPIDBQWEkH+SvVnPkcwYM7ONixcvtlsTISgoaNhnaTQalJeXW1zz9/cfcVBQUlKC//77D0KhEAcOHLA66hP4PvDs6emBv78/9u/fb/EasxJSU1MDvV6PyZMnIyUlxaG+JRIJmpqa0NPTY/Oe/v5+tjZBdHQ05z3mg8d3795x1ldgctP9/PzYa35+fmhububMW7fXxvw1R9r8ToGBgVi5ciUKCgpQUlLyU0HhaGpubgYAuzUuGFyrN44oLCxERUUFpk2bhk2bNiEwMBAikQhubm5ob29HcnIy57PlcjmKiopw+/ZtLF26FI2NjWhra8Ps2bOtvvcCgQAZGRnQaDSora3F06dPoVar8fjxY9y6dQtHjx4dcYE6QpwJBQWEEGKHr68v2tvboVAofvno0e3bt/9SESrg+wx8Tk4OPDw8sG/fPpsn6jC6urpsnhrU09ODnp4eq1lde5i8c/OZ+KHUajUbkISGhtq8j6kPoNPprAakJpMJr1+/Bp/Px5QpU9jrM2bMYI+15MJcnz59ukUb4Mfg15E2vxtTTEyv149Zn1z6+/vZ+hbMEa72eHl5wc3NDb29vfj27ZvVaoH5BnJzKpUKALBr1y5MmzbN4jXm9CwuU6dORXh4OJ4+fQq9Xs9uMB66SsDg8XgIDQ1lv3d9fX04e/YsKioqcOnSJezZs2fYz0iIs6I9BYQQYkdERASAH4OaP6murg5ZWVlwdXXF3r172f0MXMLDw1FcXMz5k5qaCuD7Rs7i4mKcPHnSof77+vrY9CdbR4ICP1KHoqOj7a7KREZGAgBn0bXa2loYjUZERESwNQrM29TW1loV23r//j00Gg2EQqHF3yYkJARCoRBv3rzhDCaY/plnjwVmIPw7UpZG4tatW+ju7oaPj4/ViT1c3NzcEBQUhIGBATx48MDqdWaFaCgmmOQ6AaqystJun8yG48LCQlRWVsLT09Oh9wp838jMFIt79eqVQ20IcVYUFBBCiB1yuRze3t64efMm7t69a5XiYDAYUF5ebjM1ZbRoNBq2SNvu3bsxd+7c39LP8+fP0dDQYPU5Ozs7kZGRAYPBgIULF9o83tNgMLABlK3UIcby5cshEAjw8OFDiwFmb28vzp8/DwBWJ/QEBQUhJCQEvb29uHDhAnu9v78f2dnZMJlMiIuLs9iAyufz2aJ0OTk5FnsLCgsL0draCplM5lAK2GjQ6XTsjPf8+fPHpM+h3r9/j5ycHFy5cgUuLi5ITU11+EhdZpB+9epVizSyrq4uXLt2jbMNk+rDnFzEqKqqskqpG2rRokXw9vZGWVkZvn79ipiYGM73Wlpayrnq8OjRIwBjlx5GyN+K0ocIIcQOkUiEvXv34tChQ1AqlcjNzUVAQAD4fD66u7uh1+thMBigVCptDpRHw8GDB2E0GjFp0iSoVCrOlQuZTMZZ/XUk9Ho9lEolxGIxJBIJJk6ciHfv3kGn08FoNCIgIADbtm2z2V6lUuHLly+YNWsWpFKp3b48PT2RkpKC48eP4+jRowgLC4OXlxeePHmCT58+IT4+nl2pMZeWloadO3eiqKgIDQ0NkEqlePnyJd6+fYvg4GCsW7fOqo1CoYBarUZjYyO2bNkCmUyG7u5uaLVaeHp6sqsnoy0zM5P93WQysX0ODAxgwYIFDlcQdoStVZlz585ZHO/a2dmJ1tZWDAwMYOLEiUhLS8OcOXMc7ic6OhrV1dWorq5GcnIyIiIiMDg4CLVajbCwMPB4PKuaD2vWrEF9fT0uXryIqqoqSCQSdHR0oKmpCatXr0ZBQYHN/vh8PpYtW4a8vDwAtlOHSktLcebMGUilUkilUri6uqK9vR3Nzc1wd3fH+vXrHf6MhDgjCgoIIWQYMpkMp06dQmFhIerq6tDQ0ABXV1eIxWJERkZi0aJFww6AfxWTp93Z2WlRR2GoXw0KgoODIZfL8eLFC7S1taGxsRHjxo3DjBkzEBUVBblcbnfDtXnqkCMWL16MI0eO4Pr169BqtTCZTJBKpVi1ahWWLVvG2UYikUCpVOLq1auor6+HXq+Hn58fFAoF1q5da5FuxHB3d0dGRgZu3ryJiooKqFQqiEQiLF26FElJSb9tFtl8FtzFxQVCoRChoaGIiYlBbGws5ylYI2U0GgHYTkViVmFcXFwwfvx4TJgwAVFRUZg3bx6ioqI4/1728Hg87N69G/n5+bhz5w7q6uogFosRFxeHDRs2IDk52apNWFgYjh07hsuXL6O5uRnt7e2YPn060tPTERgYaDcoAL7XHsjLy0NISIjVngRGUlISVCoVtFot1Go1TCYTfH19sWLFCiQkJHBuyCeE/MAb/NmjBAghhBAndPfuXSiVSqxfv57NV/9Tvnz5AoVCAQ8PD9y4ceOP1GIYC6dPn0ZZWRlSU1NtBos/KzMzE+Xl5Th8+LBDm60J+VfRSgEhhBDyE1QqFTo7O+Hh4YGtW7f+kfdQUlKCwcFBNm3nX9TV1YV79+7By8sLS5YsGZVnGgwGZGdnAwAaGxtH5ZmE/O0oKCCEEEJ+QktLC1paWiAUCsc8KDhx4gQ6Ojqg1Wrh5ubGuY/ib5efn4+WlhY8efIERqMRGzdutJu6NhImk2nYDc6EOBtKHyKEEEL+MvHx8RAIBJg5cyYSExP/ybSX9PR0PHv2DD4+PlixYgUSExP/2dUQQv4fUFBACCGEEEKIk6M6BYQQQgghhDg5CgoIIYQQQghxchQUEEIIIYQQ4uQoKCCEEEIIIcTJUVBACCGEEEKIk6OggBBCCCGEECdHQQEhhBBCCCFOjoICQgghhBBCnBwFBYQQQgghhDi5/wH6vuQuPUkQ4AAAAABJRU5ErkJggg==\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# First define the `matplotlib.pyplot.axes`\n",
"ax = flat_lc.plot()\n",
"\n",
"# Pass that axis to the next plot\n",
"masked_lc.plot(ax=ax, label='masked');"
]
},
{
"cell_type": "markdown",
"id": "acc020d0",
"metadata": {},
"source": [
"This looks much better. Now we might want to clip out some outliers from the light curve. We can do that with a simple *Lightkurve* function remove_outliers()."
]
},
{
"cell_type": "markdown",
"id": "dbd7d0f8",
"metadata": {},
"source": [
"### Remove outliers"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "b1eba7e3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"clipped_lc = masked_lc.remove_outliers(sigma=6)\n",
"clipped_lc.plot();"
]
},
{
"cell_type": "markdown",
"id": "d00e0f6e",
"metadata": {},
"source": [
"Finally, let’s use *Lightkurve* to fold the data at the exoplanet orbital period and see if we can detect the transit."
]
},
{
"cell_type": "markdown",
"id": "2abe7c02",
"metadata": {},
"source": [
"### Folding the light curve and finding the transit\n",
"From the Pi Mensae paper, we know that planet c has a period of 6.27 days. We can use the `fold()` function to find the transit in our data as shown below."
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "f1ee31c8",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"folded_lc = clipped_lc.fold(period=6.27, epoch_time=1325.504)\n",
"folded_lc.plot();"
]
},
{
"cell_type": "markdown",
"id": "403d25f7",
"metadata": {},
"source": [
"It looks like there’s something there, but it’s hard to see. Let’s bin the light curve to reduce the number of points, but also reduce the uncertainty of those points.\n",
"\n",
"### Binning the light curve"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "dda897b3",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import astropy.units as u\n",
"binned_lc = folded_lc.bin(time_bin_size=5*u.minute)\n",
"binned_lc.errorbar();"
]
},
{
"cell_type": "markdown",
"id": "a9ceb59a",
"metadata": {},
"source": [
"And now we can see the transit of Pi Mensae c!"
]
},
{
"cell_type": "markdown",
"id": "b259d380",
"metadata": {},
"source": [
"### 2. Creating a light curve using FFI data\n",
"\n",
"In our previous FFI search, we found that *Pi Men* was observed in Sector 1 with a 30-min cadence. This data is stored as the 1st argument of the *search_ffi* array. \n",
"\n",
"To create the light curve from the FFI data, we must first download the relevant images. Note that we do not want the entirety of the Sector 1 FFI, only a small region surrounding our object of interest. We can specify the size of the region we want to cut out using the commands below, in this case we want a 10x10 pixel region."
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "515cc8fa",
"metadata": {},
"outputs": [],
"source": [
"ffi_data = search_ffi[0].download(cutout_size=10)"
]
},
{
"cell_type": "markdown",
"id": "ea1bc8b8",
"metadata": {},
"source": [
"Let's now see what this cut out looks like and also check that our object is at the center of it."
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "db4666e1",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ffi_data.plot()"
]
},
{
"cell_type": "markdown",
"id": "53abdb41",
"metadata": {},
"source": [
"The above figure indicates the pixels on the CCD camera, with which *Pi Men* was observed. The color indicates the amount of flux in each pixel, in electrons per second. The y-axis shows the pixel row, and the x-axis shows the pixel column. The title tells us the *TESS* Input Catalogue ([TIC](https://tess.mit.edu/science/tess-input-catalogue/)) identification number of the target, and the observing cadence of this image. By default, `plot()` shows the first observation cadence in the Sector.\n",
"\n",
"It looks like our star is isolated, so we can extract a light-curve by simply summing up all the pixel values in each image. To do this, we need to first define an **aperture mask**. \n",
"\n",
"Many decisions go into the choice of aperture mask, including the significant blending of the large *TESS* pixels. In this tutorial, we are going to define an aperture by defining a median flux value and only selecting pixels at a certain sigma above that threshold. \n",
"\n",
"In most situations, a threshold mask will be the best choice for custom aperture photometry, as it doesn’t involve trial and error beyond finding the best sigma value. You can define a threshold mask using the following code:"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "70190b5e",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"18"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"target_mask = ffi_data.create_threshold_mask(threshold=10, reference_pixel='center')\n",
"n_target_pixels = target_mask.sum()\n",
"n_target_pixels"
]
},
{
"cell_type": "markdown",
"id": "a942fae8",
"metadata": {},
"source": [
"This indicates that there are 18 pixels which are above our threshold and so in our mask. We can now check to make sure that our target is covered by this mask using plot."
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "1504f455",
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"
"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ffi_data.plot(aperture_mask=target_mask, mask_color='r')"
]
},
{
"cell_type": "markdown",
"id": "408213b4",
"metadata": {},
"source": [
"Nice! We see our target mask centered on the 18 brightest pixels in the center of the image. Let’s see what the light curve looks like. Note that this light curve will be uncorrected for any anomalies or noise, and that the flux is therefore based upon “Simple Aperture Photometry” (SAP).\n",
"\n",
"To create our light curve, we will pass our **aperture_mask** to the [`to_lightcurve`](https://docs.lightkurve.org/reference/api/lightkurve.KeplerTargetPixelFile.to_lightcurve.html?highlight=to_lightcurve) function."
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "6cf55a52",
"metadata": {},
"outputs": [],
"source": [
"ffi_lc = ffi_data.to_lightcurve(aperture_mask=target_mask)"
]
},
{
"cell_type": "markdown",
"id": "cbf2988b",
"metadata": {},
"source": [
"Once again, we can examine the light curve data as a table, but note this time that there is only one flux value and that as default, this is the SAP flux."
]
},
{
"cell_type": "code",
"execution_count": 24,
"id": "f5cd8690",
"metadata": {
"scrolled": false
},
"outputs": [
{
"data": {
"text/html": [
"TessLightCurve length=1267 LABEL="" SECTOR=1\n",
"