mirror of
https://github.com/AllenDowney/AstronomicalData.git
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1457 lines
467 KiB
Plaintext
1457 lines
467 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Chapter 4\n",
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"\n",
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"This is the fourth in a series of notebooks related to astronomy data.\n",
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"\n",
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"As a running example, we are replicating parts of the analysis in a recent paper, \"[Off the beaten path: Gaia reveals GD-1 stars outside of the main stream](https://arxiv.org/abs/1805.00425)\" by Adrian M. Price-Whelan and Ana Bonaca.\n",
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"\n",
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"In the first lesson, we wrote ADQL queries and used them to select and download data from the Gaia server.\n",
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"\n",
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"In the second lesson, we write a query to select stars from the region of the sky where we expect GD-1 to be, and save the results in a FITS file.\n",
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"\n",
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"In the third lesson, we read that data back and identified stars with the proper motion we expect for GD-1."
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Outline\n",
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"\n",
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"Here are the steps in this lesson:\n",
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"\n",
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"1. Using data from the previous lesson, we'll identify the values of proper motion for stars likely to be in GD-1.\n",
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"\n",
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"2. Then we'll compose an ADQL query that selects stars based on proper motion, so we can download only the data we need.\n",
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"\n",
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"3. We'll also see how to write the results to a CSV file.\n",
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"\n",
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"That will make it possible to search a bigger region of the sky in a single query.\n",
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"\n",
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"After completing this lesson, you should be able to\n",
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"\n",
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"* Convert proper motion between frames.\n",
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"\n",
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"* Write an ADQL query that selects based on proper motion."
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {
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"tags": [
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"remove-cell"
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]
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},
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"source": [
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"## Installing libraries\n",
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"\n",
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"If you are running this notebook on Colab, you can run the following cell to install Astroquery and the other libraries we'll use.\n",
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"\n",
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"If you are running this notebook on your own computer, you might have to install these libraries yourself. See the instructions in the preface."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 1,
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"metadata": {
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"tags": [
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"remove-cell"
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]
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},
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"outputs": [],
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"source": [
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"# If we're running on Colab, install libraries\n",
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"\n",
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"import sys\n",
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"IN_COLAB = 'google.colab' in sys.modules\n",
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"\n",
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"if IN_COLAB:\n",
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" !pip install astroquery astro-gala pyia python-wget"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Reload the data\n",
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"\n",
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"The following cells download the data from the previous lesson, if necessary, and load it into a Pandas `DataFrame`."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 2,
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"metadata": {},
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"outputs": [],
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"source": [
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"import os\n",
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"from wget import download\n",
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"\n",
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"filename = 'gd1_dataframe.hdf5'\n",
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"path = 'https://github.com/AllenDowney/AstronomicalData/raw/main/data/'\n",
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"\n",
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"if not os.path.exists(filename):\n",
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" print(download(path+filename))"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 3,
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"metadata": {},
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"outputs": [],
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"source": [
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"import pandas as pd\n",
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"\n",
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"df = pd.read_hdf(filename, 'df')\n",
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"centerline = pd.read_hdf(filename, 'centerline')\n",
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"selected = pd.read_hdf(filename, 'selected')"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Selection by proper motion\n",
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"\n",
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"At this point we have downloaded data for a relatively large number of stars (more than 100,000) and selected a relatively small number (around 1000).\n",
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"\n",
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"It would be more efficient to use ADQL to select only the stars we need. That would also make it possible to download data covering a larger region of the sky.\n",
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"\n",
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"However, the selection we did was based on proper motion in the `GD1Koposov10` frame. In order to do the same selection in ADQL, we have to work with proper motions in ICRS.\n",
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"\n",
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"As a reminder, here's the rectangle we selected based on proper motion in the `GD1Koposov10` frame."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 4,
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"metadata": {},
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"outputs": [],
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"source": [
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"pm1_min = -8.9\n",
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"pm1_max = -6.9\n",
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"pm2_min = -2.2\n",
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"pm2_max = 1.0"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 5,
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"metadata": {},
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"outputs": [],
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"source": [
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"import astropy.units as u\n",
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"\n",
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"pm1_rect = [pm1_min, pm1_min, pm1_max, pm1_max, pm1_min] * u.mas/u.yr\n",
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"pm2_rect = [pm2_min, pm2_max, pm2_max, pm2_min, pm2_min] * u.mas/u.yr"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"The following figure shows:\n",
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"\n",
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"* Proper motion for the stars we selected along the center line of GD-1,\n",
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"\n",
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"* The rectangle we selected, and\n",
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"\n",
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"* The stars inside the rectangle highlighted in green."
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]
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},
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{
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"cell_type": "code",
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"execution_count": 6,
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"metadata": {},
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"outputs": [
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{
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"data": {
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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"import matplotlib.pyplot as plt\n",
|
|
"\n",
|
|
"pm1 = centerline['pm_phi1']\n",
|
|
"pm2 = centerline['pm_phi2']\n",
|
|
"plt.plot(pm1, pm2, 'ko', markersize=0.3, alpha=0.3)\n",
|
|
"\n",
|
|
"pm1 = selected['pm_phi1']\n",
|
|
"pm2 = selected['pm_phi2']\n",
|
|
"plt.plot(pm1, pm2, 'gx', markersize=0.3, alpha=0.3)\n",
|
|
"\n",
|
|
"plt.plot(pm1_rect, pm2_rect, '-')\n",
|
|
" \n",
|
|
"plt.xlabel('Proper motion phi1 (GD1 frame)')\n",
|
|
"plt.ylabel('Proper motion phi2 (GD1 frame)')\n",
|
|
"\n",
|
|
"plt.xlim(-12, 8)\n",
|
|
"plt.ylim(-10, 10);"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Now we'll make the same plot using proper motions in the ICRS frame, which are stored in columns `pmra` and `pmdec`."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 7,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"pm1 = centerline['pmra']\n",
|
|
"pm2 = centerline['pmdec']\n",
|
|
"plt.plot(pm1, pm2, 'ko', markersize=0.3, alpha=0.3)\n",
|
|
"\n",
|
|
"pm1 = selected['pmra']\n",
|
|
"pm2 = selected['pmdec']\n",
|
|
"plt.plot(pm1, pm2, 'gx', markersize=1, alpha=0.3)\n",
|
|
" \n",
|
|
"plt.xlabel('Proper motion ra (ICRS frame)')\n",
|
|
"plt.ylabel('Proper motion dec (ICRS frame)')\n",
|
|
"\n",
|
|
"plt.xlim([-10, 5])\n",
|
|
"plt.ylim([-20, 5]);"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"The proper motions of the selected stars are more spread out in this frame, which is why it was preferable to do the selection in the GD-1 frame.\n",
|
|
"\n",
|
|
"But now we can define a polygon that encloses the proper motions of these stars in ICRS, \n",
|
|
"and use the polygon as a selection criterion in an ADQL query.\n",
|
|
"\n",
|
|
"SciPy provides a function that computes the [convex hull](https://en.wikipedia.org/wiki/Convex_hull) of a set of points, which is the smallest convex polygon that contains all of the points.\n",
|
|
"\n",
|
|
"To use it, I'll select columns `pmra` and `pmdec` and convert them to a NumPy array."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"(1049, 2)"
|
|
]
|
|
},
|
|
"execution_count": 8,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"import numpy as np\n",
|
|
"\n",
|
|
"points = selected[['pmra','pmdec']].to_numpy()\n",
|
|
"points.shape"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"NOTE: If you are using an older version of Pandas, you might not have `to_numpy()`; you can use `values` instead, like this:\n",
|
|
"\n",
|
|
"```\n",
|
|
"points = selected[['pmra','pmdec']].values\n",
|
|
"\n",
|
|
"```\n",
|
|
"\n",
|
|
"We'll pass the points to `ConvexHull`, which returns an object that contains the results. "
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<scipy.spatial.qhull.ConvexHull at 0x7fd67bffd910>"
|
|
]
|
|
},
|
|
"execution_count": 9,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"from scipy.spatial import ConvexHull\n",
|
|
"\n",
|
|
"hull = ConvexHull(points)\n",
|
|
"hull"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"`hull.vertices` contains the indices of the points that fall on the perimeter of the hull."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"array([ 692, 873, 141, 303, 42, 622, 45, 83, 127, 182, 1006,\n",
|
|
" 971, 967, 1001, 969, 940], dtype=int32)"
|
|
]
|
|
},
|
|
"execution_count": 10,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"hull.vertices"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"We can use them as an index into the original array to select the corresponding rows."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"array([[ -4.05037121, -14.75623261],\n",
|
|
" [ -3.41981085, -14.72365546],\n",
|
|
" [ -3.03521988, -14.44357135],\n",
|
|
" [ -2.26847919, -13.7140236 ],\n",
|
|
" [ -2.61172203, -13.24797471],\n",
|
|
" [ -2.73471401, -13.09054471],\n",
|
|
" [ -3.19923146, -12.5942653 ],\n",
|
|
" [ -3.34082546, -12.47611926],\n",
|
|
" [ -5.67489413, -11.16083338],\n",
|
|
" [ -5.95159272, -11.10547884],\n",
|
|
" [ -6.42394023, -11.05981295],\n",
|
|
" [ -7.09631023, -11.95187806],\n",
|
|
" [ -7.30641519, -12.24559977],\n",
|
|
" [ -7.04016696, -12.88580702],\n",
|
|
" [ -6.00347705, -13.75912098],\n",
|
|
" [ -4.42442296, -14.74641176]])"
|
|
]
|
|
},
|
|
"execution_count": 11,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"pm_vertices = points[hull.vertices]\n",
|
|
"pm_vertices"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"To plot the resulting polygon, we have to pull out the x and y coordinates."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 12,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"pmra_poly, pmdec_poly = np.transpose(pm_vertices)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"The following figure shows proper motion in ICRS again, along with the convex hull we just computed."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 13,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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ex91zeILRhGVw7NixW4SB+gye5sudlSSurf9eL7DcRYzpfTrq3x988IH26quvai+88IJ27Ngxl+tmMqVCFSZ6n446Vv05t9P/xNX11Xt4Eiru1qSrY6dyDfUzd34MV/dUI72meu+7pU9DMGia9ofvc4iLi/PIAFSaKpN3tWhuJ+zQ01hux3y+E3IHq+k/c4efq8xlKuPUz4srAaWnwcFBmT2qMilVK1W1TndhsXrrydX7dbXp9c+p/pSUlGjvvvuuEwTkCt+eipKhJp+px7t6Fj1Tfu+996QV5WouhSXi7rndOe2F4FUFjYB+XFkhQlCKuXY3nskE8FTm63b+93QtT+folRJP61usU3fP+0nu40+DPAmHP4jaSr6+vk517t3R7dSs19e7SUhIoLGxcUq1UsQ57somu2ruru9LPVlpbU+k9gZ21cNa1Buqra2VdXXc1TLS1z0S86fOgyg9DhO1ZPT1iVw9S3t7O+vWraOpqUk+u8PhAJDzLPpNA4yMjFBbW3tL/X59OXBPvRCMRiM2m43z58/L3xUVFbccn5GRwYoVK9i4cSPt7e3Y7XY0TbullpI6d+J92mw2p/F5e3uTkpICIGtpnT9/nsrKylvmRV8q3eFw4OXlRXx8vHx2QWKezWaz07nqO05ISAAmajmdOnWKiooKrFYrVVVVNDU1OdXREmOvra0lKipKzqOowdTU1ERCQoKs7aQvQe2pHpLRaCQlJcVluXNP50+lntNUSmaL64vfrkrlu9tfZrOZTZs2uSy57aou2GS9Hf4r0R+EcFDr8nuiqRbhcrfAVQGhZ5KuruGuwYurMUwIcedzVQZ8u4tOX3xM/V8w55SUFBYsWHCLIBTF3FxtVn2hNz3jVT931+RHnBMcHExGRoZkHF5eXnKea2pqnM6ZPn26E5PVFyqcrICbGF9NTQ1jY2Oy+Ju4piiUJ4SFEExC+IiCfUII2O12ue4Ew7FarRw4cICzZ8/KsYtnEgK5vb2d+Ph4vL29ncaqX181NTUApKSkYDKZnISi1Wp1KrRnNBoJDQ11EvZiTABxcXF4eXkRERFBXV0d3t7ebN68GaPRyPnz5+V9mpubGR0dlYLDaDTK4ngGg0E+t6oMqORqXdvtE02V9MJNT56K17miqSh46rHuCvHplSdX+8xTLwZXe+eTKCb4mZA7k+K/0s/t1FZSyZ2Z6qk0gmqKejI53V1ffz13x7rCpadyLVfwkP5vcT1PcIs+9FVP7hyS4rqeQj7djd8d7OHqudxd1x0UId5rf3//LY5i8S5FQTzxHO6cusKB7conoT63iuuL99nW1ubxGdR7HD16VI5VhZfEvdX7qBCYOv83b074CN59913tvffek88ojtFHQKnn6z9z9Yyu3qGrZ9Jfz1Morzsfjqv7uTtGT+58YFOFria7/mTfu5qXzwNxp7CSwWAIMRgMLxgMht8ZDIbzBoPhlMFg2GUwGL5kMBj+S1sd7koiw62WiKuuX0L7Xr9+vdTsJrufq+upn6mkQiWqtubJEnH1TK60bLvdTm1tLYATHKLXrsxms9Rm9WWM1fEKiEace/bsWQ4cOODyWP0zCI1ahTYOHz58y3txByno59gTNOFwOOjs7CQyMlJq1QsXLsRms9HU1CSPF/MzMjLiNGZ1fENDQ9TV1d3yjALeFNq91WqloqKCsrIyzGYzL730Ej09PfI+ejhRfF5VVUVHRwfx8fEYjUZ8fHzk3+Pj4/LdinPDwsLkGPTz7+3tTWpqKunp6WRlZWE0GiktLaW2tpa4uDgnGE/c/9ChQ1gsFlnSW6wPAT2dOHHilrLegOymp7eqxT2EZaauWRXKTEhIoLKy0qmMuH6eXO0fT21oxTvTQ8L667paZ+pzT2a9e+rAN5Wy87fDQ+7mmKmSWwZvMBj2AG8AduDnwNeAZ4DjwDqgxGAwrLhnI/mUSc9U1Rfoqs68nsEJv4HZbHYraFQYR/3bHbNzNUZ1rIDL2vviGfSmufjfVS8ITdPkc9hstlv8ICqzU6EU0QZVxbhra2sZHByU48rKymLLli23PI+AGNRWqlar1WnjmkwmtmzZwsqVK+U56vF6yE1PrrBsdVwpKSl0dHRIPN5ms7F//34iIyMl4zQajbLfgxizgIqMRiNbtmwhNTUVLy+vW55P/G5vbycnJ4eenh5mzZpFd3c3RqORxx9/nN7eXnns0NCQ03nix9vbm9DQUCls4uPjaW9vl3Pe3Nwsn6GmpgaDwSChm6ysLPLy8pyepa6uzsm/4nA4SElJwWw2ExwcLGE8MZb169fT2dlJSkoK8fHx8n4mk4mIiAhKSkqc3oG4l4AIbTYbBw4ckMeI96J9BJ+qyoz4Xnzu7e19C9wpztMLYyGEPPVpNhqNREdHu1Sg1Ou62sPiupO1ufUEKbnyTaj3cHd/laYCS91r6MqT9v+KpmlrNU37haZppZqmtWuaVq9p2mFN054FVgGX78ko7pLEC74dEhtdv0BV68DdeeJYFYt05fRVr6dqVpP1vNV/pwoT4bRVj/MkiPTMXvydkZHhhKm7W9hi46mbScXHASIiIigtLeX06dNODEjfgMZoNLJgwQJSUlKkUGpqamLu3Lny3sLRqn8O4cAV99Zj2KJpkqqx2u12SktLOXHihJMfQMxhRUUF5eXltLW1ceHCBaf5bG5uZnx8XDJm/TwXFhZKTV7cU2ihYowWi4Xg4GBKSkpYtWoVR48eJTs7WzbrsdlsnDp1irKyMml9nT17lpqaGmJjY7l69ap8ftF3vLa2VjJhMU8LFiwgMzOTlJQUKisrsVgsHDp0iNLSUiwWC7W1tQwPD+NwOLDb7VitVilo2tvb2bVrF9evX8dut0urw2azMTAwIOdCnevg4GCeffZZqRiJZxHvWIwtOjoawElrzsjIcKn0iPdht9udnNdiPjMyMm5hfkJwCye6O9+A0WgkLS1N7kVViIjxuGPuQjCI63givVLi6jvVWlGfRz8uV9eezF86lWNuh9wKB03T6sXfBoPBx2AwxOq+t2ua1n5PRnGXNDo6eosmqWpBetK/lKk6wlTN19W13DFm8bfROOHgUzeIutD111PvKZ5PaKvunkFoOsAtWoQn89nd8Y2NjU6wjxi7alEEBwfzne98h+XLl0ury2g0smnTplvu29jY6GTRLFiwAD8/PwDp0LZarU4aW0pKCl5eXk6CV1UIbDYbR44cITQ0lMrKSieN1eFw0NHRwcjICJWVlZSVlUkBl56ezvLly3n00Ufx9vaW2rNgcD4+Pk7MUYXbNm3aJJnjqVOnqKyslDAUfGxxWSwW1q9fL6OKAOk4NplMfOc732HFihVSCKWlpbFgwQLMZjNbtmyRjEl9B8nJyZhMJqxWK/v27aOsrEwynPPnz7N3714cDgcRERHk5+dz/fp1enp6GB0d5fTp0+Tn5xMQEMDu3bt57bXXyMjIYPny5ZhMJtLS0sjLy+Pw4cPs37+fkpISUlJSSElJoaamRlouPT090oLs6emR700wa4C0tDSpeAAuI8NUuGZ8fJzKykoqKiqcLFTx3l1ZtxkZGYSEhEgnukr6dSf2pRpU4o6EoFSVEFf8xN1nnjR41XrSQ8eeuvndDtpwT8idM0L8AOuBFqDro/8XAkcmO+/T/FmwYMEtWaeTlarQO2r1WaWeHMCenMd6h5sn55nqgHNXekE4FNUaOZM5ZN05p/XJP2rtGnfXc5dhrHfcu3pmV0XzXDmyVWehcKqqDlX9uFVnrDhXTVRSv1f/V53R6vOqmdh6p72maVp/f7/Lyrji2q+//votx4jzVWd0f3+//F+fi1JcXKy9+uqr2tGjR7Xi4mLt2LFjcjzvvvuu9stf/lJ77733nJzhInlP/H3x4kXt7/7u77Rvfetb2rlz57SbN29qR48e1fr7+2Xm+Xvvvae1tbVpv/vd77QXXnhBa2hokONRcxg++OADra2tTf6vz7lQ5+7111+XpU30e0B18OvzI/r7+2/pM+Eu8U91aqs0ODiovfjii9rRo0c9Osn1wQHqe9Qfr65v/TqcimNcXTuuyJ1j2lM2vye6neP1ex0PDmmDNgkkYzAYKoEcoFjTtEUffVaraVrKvRNRd0fp6elacXExjY2NTlaA3W53gihc4dHnz593wjcFXrpv3z62bdsmz9efp5fQektBXMvV8ep4xHEqzAU4jVe1RCoqKtA0zcn6UEnAQK7MSxWbhQkNdnx8nKysLKe5Usfj6nnEZxUVFdJSUI9RIQYBE6n4vRi7iLnv7u5m48aNmEwmzp49C3wMX6WnpzvNkc1mY+fOnTz33HMA7Ny5kx07dmCxWG7B4MW558+fJz4+niNHjkgtXryD0NBQCgoKiI6OJjk5maamJuLj4zGZTPL7wsJC1q1bR09PjwxHTUhIoKysTDqKxdyJuRfWzPr16yUk1NTUhMPhkA7lFStWYLPZMJvNWCwW6uvrZcjp0aNHZbhpRUUFcXFxctxlZWX4+vrKMFxhRRw5coR169ZhtVp55ZVXeP755ykqKuLGjRts27aNlpYWYmNjKSgoYO7cuURHR3PlyhUGBwe5fPkyoaGhGAwGvL29SUpKks9rNBqprKwkOTkZgLq6OrlmjEYjp06dYnx8HH9/fwkpARK+Es8eGRlJZ2cn6enp2O129u3bR1hYGKtXr5brSl0fYs0K7V2sB/26tlqtLvOcxJo8f/68hBI1TcNgMEirRn+8K2hI3auCJtsb1dXVTpDUVMmdVe/peFe8zdOxAhJeuHAhDz74YKWmaemujp+KcCjXNG2JwWC48HkWDmrUgX4C9MxOkM1mo7KyEm9vbycmJ5yUTzzxBEaj8RZG7ell6Bmg+MydMNEzYXFtwazVz/WYpP58vWPO3fhgwsQX2K7dPhGdojLA5uZmpzkRQlQVIHr/gGCKBw8eJCoqCm9vbzRNY+nSpRiNRiwWi3RyWq1Wjh07xty5c0lMTJTMvaamRjJb8Yx6slqtEqYR14yIiKCjowOHw0FaWprT/IlnFZ+Ja1osllsY4OjoKBcvXmTbtm1OWL94ThHhYzQa2bdvH5s3b8ZkMklBKeamurqa4OBgQkNDneAFm81GVVUV9fX15OXlsXfvXrZv305xcTF5eXkAdHR0MDg4iJ+fHwaDgdHRUcl4Kysr0TRNMmEhwMQziedrbGzk/fffZ8aMGfzTP/0TeXl5+Pr6kpWVhc1m47333sPf35+YmBiOHj1Kbm4ura2tjI6O0tjYyLRp09iyZQv19fVy3UyfPp3x8XGam5vZtGkT+fn5bN68GbvdTkFBAatWrcJqtcr1V11dLQXD2NiYFIpCGJw9e5bk5GQ53tDQUCk8xLoTglGsZ08Kl6c9pr6Ds2fPMn36dJeCRt0jeqVH7ANV8QBc8gNPStrt0FSExe0IFD3fMRgMboXDVMJR6w0Gw1bgAYPBEG0wGF4FSqc0kk+JhFYgJsiVk9XVwmlsbCQtLe2WxagyAL2jyJPTRywkNRTWVQicCBsUTFXVtIX2qzqBxefCAQy4jBry5G8Q4xP3FZq58B+sX79eMko1RFOdY4E5i3uqmaZCoDU1NREVFUVqaqrc+DDB0Hft2sWsWbMoKyvjtddeY9WqVfj4+NDX1+eUfdve3i6f2xVuKzRou92O2WxmdHSUlpYW4uPjpW/i8OHD0goReHldXZ0MBrBYLBQWFkrGbzROJOEtWbJEOqBVwaDi4gJTF8fZbDan6C+Y8BEcO3YMi8Ui35fVaqWuro6kpCQcDgd9fX3s2LGDK1euMGvWLOrr6zl06BCRkZHARNRcWlqaFAwwEZYaFxcn5yg0NJRXXnmFF198kZKSEs6fP4/VaqW0tJTBwUHa29vx8vIiOjpaRmNZrVZ++9vfUlZWRmtrqwyDvXbtmkzOu3HjBna7nfr6ekZHR5k+fTrJycmkpqYSFxcnjxGCbu3atRQXF8vIJzE2s9lMRkYGqampdHR00NHRIddMWloalZWVVFZWEhwcTGFhIREREU57S/ghxJwL5U0NMHCF8es/q6mpobKyEnBOqNSTEADq/hIkfByqRQquk/8mi26aCk3mu1DHNdl19MdOZVxTsRx8ge8BawED8A7wI03Tbkx69U+J5syZo9XX18tNrMI1nsidtiFoMkvBndavniu0VqHFihA/4WxUNQxAaqB60kNPJ0+eJCsrC0BqXUKbVqEy/fhUWERfZkNvVYjxqXkc4li95aCeZ7d/HO2jmu/t7e1Ss7TZbAQHBztBAvpxgHutrLa2Fk3TiI+Pp6ysjOnTp8v5EAxQtRJUaE61lEwmE7W1tbfMubiGmCsh+OLj46mqqpKQ0MGDBwHYsGEDwcHBTmMvLCzk8uXLbN68mdOnT9PV1QXAli1bpNYt5q+mpobIyEjy8/NZs2YNf/u3f8vLL7+M2WyWlpJ4f3V1dU6Ct6enh1/96lesXr2a5cuXy+cVWv/AwABDQ0PSGjp8+DDp6elcu3aN5ORkLly4QHl5OaWlpfzgBz+gtbWVoaEhAgICsFgspKWlkZaWRnNzM8PDw3h7e0srIDExkWPHjrFx40bKy8vx9fUFIDY2lldffZVnn32W4OBg+f7NZrNcp1arlYMHDxIaGsr06dOZP38+FovFaQ8JgSqijSoqKhgZGaGjo4Nt27bJtTgZ1CuyzkXUk7BsPO0DV9dVjzl79qwTJKu/pzu6E03/TmkypOOuLAdN00Y1TfuepmkZmqalf/T350YwAAQFBWE2m6UGC7fWmlFJZRR60puv7iwFvVRXj1OPFRq6en0R4ge3ahiqsD579iylpaVSi1EZXUtLCxUVFRiNE6UTdu3a5RShI+bAarXK6wm4SF8HSI16MhqNUqvSl8MQTFXMnygZIc4XY29vbyciIkKWjhDaXnFxsYRwenp6sFgsHDlyRF5PjFcIVXCdt1BTU0NERAQLFiygrq6Onp4eYmNjnRiFEETiHPg4EUtYSmaz+ZaQWKEpCgEXHBxMbW0tlZWVcl5FGKjJZGLbtm1s3rxZRu+o1qCfnx9RUVEAdHV1MW/ePJKSkjCZTFIwCOsmPj6e4OBgtm3bRnBwMF/72tcwmUycOnWKnTt3OsE1Fy5coKSkhN27d7N7924uXrworYKSkhJ++tOfUlVVJX0Hs2fPZsaMGTJ0eNasWQwNDWEwGGTJjOnTp5Obm8vevXvZv38/ERER7N+/nxs3bkgBHxISwsWLFwkPD+fixYtcv36d3t5e6S/y9vZm/vz5pKWlYTabyc7OlpZCdXU1L730EiUlJfIdNzc3s3nzZlasWMH4+Di9vb3S8j179uwtyYkwYU2tXLlSCgZ17aoKjHqO2GcLFiyQ69ZmszkleOqTQNX9r7dQxD7z9vZ22iPuNH1PFs1k5M56nip5Qjomo6lYDunAi0A4ILN+Pmmfg8FgWAf8X+ABYLemaT9zd2x8fLxWU1Nzi3apOiZVxqrihu4wTE/kyrrQaxzqsXoNxB0eKZik0NhrampkTLxeuz116hSZmZlOzj8VF09PT8dqtVJYWMj69eulM1TTNNLT06msrKStrY2NGzc6CUS7fSI0UziJ9d+pWpLq41AtCLGphfVy6tQpUlNTpSNTaIRCExcwkcVi4dixY4SHh+Pl5SV9Feo82mw2ysrK6O7uZsuWLfKz9vZ2OZ82mw2LxcKePXt48sknsVqtLFy40Gk+amtrWbp06S3vVH0fJ0+e5OLFi+Tl5UlfidFopLCwED8/P4zGjx2kqjUTGRkpITox7r179xIbG8uiRYtobm7GaJxITtu/fz+hoaHSwjAaJ3wfaWlpci6rqqowGo2S+R4+fJiYmBj5Ph0OB11dXcTExEhYaNGiRRiNRurq6pg7dy4vvvgiixcvZtu2bTQ3N0sFQAh8Hx8fmpubyczMJDQ0VEJD06dPZ9myZbS2ttLc3ExgYCCBgYHMmTOH3bt388wzz0iL6Y033uDKlStkZ2fz2GOPSeFss9l46aWX+OY3v8nw8DCXLl1i48aNVFZWSs1brAWxzg4fPiwTKcVnrtaaSnpfo3ouIPd9REQEhYWFMtTalRWhrgvV3yfGoV5fKAriWVUrQj3eFa9xxR9c3f9e5i+o5MlymIpwaAG+DdQBvxefa5p28V4OUnfPB4BW4ItAH3Ae+JqmaY2ujk9LS9MEnijIFc7mjom7goT0pJ6rChd10dbU1OBwOCQDVM/Vv2BXYxCRSAsWLHDaCFarVTJ89V56p7d6PiBzFMxms5PlIZ7DarXS0tLC6Ogofn5+kpmXlpYSEhKC1WolNDTUKUrHXaanILXCamZmJna7nZdffpk1a9aQmpoqBYGIIBFQ0NmzZ2lqaiI3N1fCEOq7Uje+0C7BuQKt+P3rX/8agICAAG7cuCE1W+HcBDh48CCbN2+WkUKHDh3Cy8uLzZs3S2e8uKZ4B2Ie9+3bx4YNGyQ8IgSmYAYCIrpw4QJFRUXk5OTIORbRQAImOXHiBN7e3oyOjuLt7Y23tzf19fVs2bJFjmnDhg1cuHCB8fFxenp6iIyMJDExUTqQW1tbgQmIx8vLi+TkZAoKCpgzZw49PT2sWLGC3/zmNyxdupTly5dTVlbG+Pg4LS0tREREMDIyQk1NDV/5yleIj4+nsbERk8nEoUOHqKqqIjg4mC9+8Yt4e3tTW1uLl5cX4eHhMqBg5syZzJs3D19fX8LCwjh16hS5ubns3LlT5lsEBwfj6+uLt7c3S5YsAeCNN94gMTGRS5cusXbtWlpbW6mvr2fRokUyl0NAlWItt7e3ExoaSktLi6x4K/aGqlipDF8fxaju56nA0ELwC5hUVZb0e1i9nuATKqys3l+/rj35Mj8JwWC32z1GK03FIX1N07QjmqZ1aZp2Ufzc43HqaTHQrmlap6ZpduAA8GV3B+trIYmX5OozlUkKMhqNtzhy3ZmCRqOzU6qystLJmeqqpIK4vv6+6r2EFqrPXBblJQSkod5LD1elpKSQkZEBfJwwJJixcOip53R0dDA6OkpHR4esN2Sz2XA4HBw/flw6CUNDQ+Wm1G8Egb0K51x6erpMWqutrZWJXqmpqRKOgYnMVLVcRVpaGnPmzKGvr89JEIt7qCUMxEYT9X/EuxKCKTk5mU2bNjFv3jzy8vIkUxfHNTU1ERYWRlNTE1arlfz8fIKDg8nNzcVkMjE+Pu40Z6I2j8ViwWicqAXV0tIiM5z37dvntK7GxsYkPr98+XISExN5//33SU5OxtfXV8I0drsdPz8/kpKS8PX1paOjg5iYGG7cmEBtY2Nj2bBhAyaTiYsXL2K324mLiyMxMVHCcd7e3iQmJrJt2zaWLFki53Pjxo2sWbOGNWvWsHv3blpaWkhMTAQm4BC73c7Q0BCtra0YjUa2b99Ofn6+9AUdO3aM7u5uIiIiCAkJYXx8nIULF2KxWLh+/TptbW1cv36duro6HA4H7733HsPDw1y8eJGwsDBMJhO5ubn8r//1v9ixYwcpKSkUFxfT0NCA3T6R8d7V1cWiRYvYuHGjVFLEc4t3JmBZkXwYFRVFfn4+IyMj0pLTNE1ascLiho8hSbG3xfs5f/68nKep+CdFIqa6JoSCozrG1XuqfMKdNaLuZ0+Wwd1CS+KebsbgtqT1VITD3xgMht0Gg+FrBoNho/i5q5FOTnOBXuX/vo8+k2QwGP7EYDBUGAyGimvXrjmdrL50lamrJZH1BbfUQmzqeer1VM1bnCcwUZhYRHptvrq6GovFckuZY1djVK+tYucbN24kMzOT2tpa6X/Q18JRo4dUq0OQmr2rCrnly5eTnJwsi+y1t7eTlJQkw0k3bdokQzILCwudIquEsBA9B8TYRTlwAbmYTCYZ+VNTU+NUFlulq1evEhISQm1trWTEoaGhTpmq4hyTyUR2djYFBQUcP34cu90uy03HxsZiMpnQNI2WlhYsFgsHDx7kypUrEu5avXq1DM0NCwujr6+PI0eOYLPZZMSTYAZCIy0oKMBms5GamgogGYXwKwim5+3tTUhICPn5+YyPj9PZ2cnGjRsJDg6Wlot4hw8//DAdHR0yustun3AkFxcXy+xuu91Obm4uFouF8PBwWltbcTgcxMTEAMjw0rq6OoaHh9m7dy/l5eXY7XauXLnCd77zHf7+7/+e4OBgGhsbmT9/PmNjY1itVgIDAyWzTEpK4syZMxw+fJjAwEA++OADOjs7CQwMpKCggL6+PgIDAxkeHmbGjBkMDAwwe/ZsCgoKuH79Os3NzZSVlTE4OEhTUxOBgYEcP36cnp4e9u7dS2pqKomJibS0tDB//nynrPeGhgYJm3V2dsp3Nm/ePMlsBUwVFhYmS4gbjROZ5aLfhNFoZGxsTK6piooKWchPKAiqMiksbvG+9Uqhul9FlJO4r1AGxXl6hVT1Xeg/F3tf31vC1b1VJelOyNX5yhjcQkdTEQ5PMpEVvQ74o49+8u5olFMnV9LM6SE0Tfvnjxzk6UFBQU4HisnWM3VVQotoC7jVmaw/T48RqgtBZYriWurfgqmqDVRU0gsJfS0ioTEJ7UVcQzRhEaGLwux2pYXYbDap6aoCSzBuVYNPSEigo6OD2NhYjhw5Ip+5p6dHVqCFj0NTbTYbCxYsoKmpSWrPwvx39RwLFiwgLi7uFsFmMpnYuHEjfX19tLa2snPnTnp6esjPz6ehoeGWEEebzSZrFvX09GC32/H19ZURP2VlZRJXb2lpISgoiNLSUiIjI+UziI25evVqtm/fLoWKeB5RNqK8vJzq6mrS09Npbm6mqqqK2NhYUlJSWLFiBampqdTW1kpNVwjb9PR0li1bJudW5M/s3r2bsrIyLBYLr732GtevX5fWk9Vq5YUXXpAWVGRkJIcPH6ahoYGhoSEKCgoYHR0lJCSEgoICKisraW1tJSUlRVomN27coKOjQ1qBAL29vdhsNkJDQzly5Ajnzp0jISGBhx9+WFoNZ86coaioiMHBQWw2G21tbYSFhREUFER2dja7du0CkFDgpk2bCAsLY9OmTeTm5kpGKyzdn/3sZ1y+fJmjR4+ycOFCQkJCnOotzZgxgyNHjlBeXo6XlxeLFi0iICCAuLg46uvrGRoa4ujRo1itViwWC3/913/N3r17GR8fl88nIB/Ro0MoVKo1npaWRnx8vAxnVf0tNTU1jI6O3mIJ6BmquJaqcAnBJNaRmgs1Gen5jHo/V/eeDM6d7F6uLJPJoKqpCIcFHzHhb2ia9uRHP0/d1uhun/qAecr/IUyxyJ8KH8GtEyD+18M/eh+B/np6oSDgDb1/QT+Wzs7OW2rr6K8r7h8VFeXSwhBkMpnkAhVa+djYmMwtEJsCnCGrqqoqHA4HVVVV2O12Gd2kRvOo4zEYDJjNZnJycpwWsXgGkdX7zDPPyM8cDgeVlZXSOSy0aZVE0uH+/fv59a9/TWlpqVNpa7PZzKxZs3jnnXdY+FEzoM2bNxMREUFzc7NkBkKT37RpE6GhodLKSU9Px2w2yzwBk8lEbGysrFek31zCd+Nqrh0OB3V1dQD4+/uzY8cOKioqZD7Cvn372L9/PzabjebmZkZGRqirq2NsbIySkhLq6uokjCNwcQELJSUlERMTg5+fHzk5OSxatAgRUJGQkMC1a9fo7e2lq6sLk8nEqlWrWLJkCQ8++CCBgYF4e3sTEBDAvHnz+PDDD/Hy8pJBAKI09/r16yW0tW/fPnp7ezl48CB1dXWsW7eOHTt2cPz4cc6cOUNTUxNeXl5s3bqVP/uzP8NqtTI0NMTTTz/NzZs3peB/8cUXWbRokRx3W1sbAwMDnDp1ig8++ICRkRGSk5NJSUnh7NmzhIeHEx0djcPhwN/fn4CAAPbs2YOvry/l5eXyHa5evVrWqhJKm8jN2LBhA01NTZw5c4bBwUHy8vLIyckhLi7uligyQSJHSVBNTQ3Nzc1OTZbEPl6wYAHe3t6S0Qu+oCptrtaHEIRi76m1m243Gkm9nyvlVD3O0/U93fNOfBZTEQ5lBoMhYfLD7imdB6INBsN8g8FgBLYAR6ZyogofuZssAam4ksTipav9CVy9NCHtJ9MURkZG3DqjFn6UOCagIn2nMVfnqM8A4OPjIwu1qWNTfRyaprFlyxbpBzCbzTz33HMS1xWF6gSsFBcXh81m47XXXuPUqVNOeLo43mq1yvDNxsZGkpOT5cZKSEigublZamE2m022xkxLS+OJJ55g69atLF26VIaVCuZ/6dIlFixYwNq1a+Wz9PT0cP36dcrKyti3bx+nTp1ymnuhyYpxZmVl4eXlhdVq5eWXX+add96huLiYJ598ko6ODk6dOiXfr8FgkPkKQoNsbGwkNjZWMpKUlBSCg4MJCwuju7ub2NhY5s+fT2RkJEbjhK9H5AKMj49z+vRphDUrwlBHRkaoqqoiNTWVmJgYDh8+jMFgkDCLqJhqNBpZuXIl3/3ud9myZQsWi4WXXnoJq9XKhx9+yLlz57Db7aSmpuLt7c3w8DBr167lyJEjdHV1YbfbGR4epqGhQcIr7e3ttLe3s2LFChwOh7QAAgMDGRgYoLW1lYCAAP72b/+Wc+fOMX/+fKKiovjiF79ISEgI4eHhwETyYVNTEydOnKC2tpYZM2Zgt9t57LHH+PDDD2UY7oYNG3A4HDQ3N9PR0QFMFMfcs2cP8+bNo6amhmeffZannnpK5roUFBRgtVolPBYREUFZWZmEb4KDg/n5z38uocwVK1ZIqyA1NdUpCVGf+Sywf2HNqda1gEWFxaH35ekZsd6SyMjIcOp7Iva13sp1RSqsre5p/d/6fe/KQrlb6MkVeU1+CNnANwwGQxdwkwnIR/skQ1k1TXMYDIb/yUTC3QPAG5qmNUx2njs4abJz9JFEaqTKZOepUTwqiZcnHImqIBJRRQIrdTgcTpqKfkzif31UgxBy+sUlNokQPiIOfunSpXIsQuM3Go2EhYXJCB01Iuj555/HaDQ6RUYZjUbJLFSHn4BjxH3VKp7Nzc1ERkZKRiGuKY6PioqSORKCwarlM2JjYzEYDGRmZhITEyM3gQhpzcvLo76+nuPHj/Pcc89hMplwOBxyU/r6+hIfH8/Q0JAch+iPIKC6sLAwWYVVzEFERASVlZUMDQ0RFBTE/PnzuXLlCklJSTKTuaysDJhgwLm5ufj4+JCZmSkjdkT2tsPhoKWlhfHxcRoaGrh8+TJr166VobsxMTEybyUlJYW6ujpqamrw8vIiLy+P4OBg0tPTGRkZYfr06RiNRvz9/VmzZg0mk4krV65w6NAhqqur5XpctmwZiYmJlJWV0dLSQlFREdnZ2ZIRvvjii9hsNi5evCjhHpvNxpo1azh+/Djt7e309/fj5eUlhde0adPIyMjAYrGwePFiwsPDiYqKoqenh8LCQqxWKyUlJcTHx0sh5uXlxZw5c3j33XdpbW2ViolI3szPz2fOnDkYjRPhvSLBb+7cuXJMIkdBjQCqrKxkfHxc+pbS0tKc9qHYa2pZE1cIgVjbYr+I71Q+oo+AUhM3BSzqiueIPAjRh1pVavT8wxMCoRccKo8Qn93rcNepWA7rgGgmMqSFv+GP7tkI3JCmaUc1TYvRNC1S07SXPB37+9//3glO0juG9KQ6oVzhfsJZqC8brEpnwRSFtg8fd8ESGrPJZHLKhBYLLz09XeLaCxYskJovfKyp6DFGfVSDuojVJBz42HoSm0Et/ayWBbZarVJTFUxSlJoWpbWNRqP0byjvRjboEYJIPK963/j4eOrq6hgaGqKzs5P4+HjZl0E4BcUcCkwYcOqvLLB4X19fGbl18OBBrFarZJwdHR0kJSWRlZVFS0sLZWVlVFdXU1BQwDPPPEN0dDR79+6lv79fCiphaQny9vYmIiKCw4cPy3G1tLTQ29tLSUkJ3t7e7NmzR56blJQkQ0dFopnA2h955BGioqJobW2lt7cXh8PBokWLWLhwIYsWLSIxMZHt27djs9lYu3YtqampHD16lLGxMfkeHA4HXl5exMbG8sgjjwCQmZnJ8uXL5fykpaWRlJTEwYMHefDBB1m6dCkffPAB/v7+TJs2jaCgIKqrq2lsbOTixYvExcVRUlLCww8/TFVVFefOnWPPnj2Ulpaya9cu6XA+fvw4169fJyoqim9961usX7+e4eFhzp8/T0REBNOmTZPQ2IEDB2QpkoCAAMbGxsjJySEjI0Naow6HgwMHDrBq1Sqee+45mVgYHBxMS0sLYWFh+Pr6UlVVhaZpskR6UlISJSUlfOtb3+Kdd97h4MGDREZGOjViEmHBsbGx8jx1v4pIJjWyTViyJ06ckF3rxOfCKlb3ufhcVRzE8Wr/C1ckoDO1BpnKP1RHuis+pfIflVRlUr3mvaRJ8xzkgQbDLGCa+F/TtJ57OpK7ILXwngr3uCIxySL13ZWkF1qtHj4S5+u1D/U7u/3jJDQ9FBMeHo6Pj48MN1W1GrWapxAaQqgcOHCAsLAwVq5ceYvWoNdqxII5f/68TMZSI5cEDCT8DkLT1mshonSE0KbUZxKLVrWY9NqQwOGFEMjMzARg9+7dMnlNn09QW1srC+ipRf6qleqpojid2WyWMfBqI6D58+djMpkoKSmRBfl6enqYPXs2vr6+jI+Pc/XqVdkpbf/+/axfv56jR48SGRmJwWAgNTUVk8nEiRMnePvtt1m8eDE2m42goCDJqAEOHz7M3Llz8fHx4fr16zQ2NkontVgP5eXlMn8hKCiIS5cucebMGUZGRnjyyScpKipi/fr1MldB5IZUVVURHh5OcHAwFRUV1NfXy0gnEd45Pj5ORUUF/f39rF69moUfJfpdvnwZq9XKW2+9xde+9jVCQ0Opr6+nqqqKtLQ0EhMT+fu//3s2b95MQkIC+fn5rFy5kvLycmbPnk11dTVNTU0ym3vatGmyYq2/vz/nz5/nmWee4cqVK8ybNw+TycQ///M/k5aWRlBQECUlJYSGhlJbW0tmZibj4+MkJibS0NCAn5+fLHnS2dlJbGwsWVlZWK1Went7ZcCAsF7tdjt79+4lLy+PtrY2AJlEp5bVcLUv1TwfkcsSFxeHt7c3sbGx5OfnS8Ekkgk1TZNdCNV9LfiFSmL9CZqs0KcrfqFWNtYf5ylPwt01b+c7uMvyGQaDYb3BYGgDuoCTQDfw9mTnfRbkymRUSUy43W6/xSGtXkMNk9Nfd7J7qM5ilbZs2cKKFSuc4BmRK6EmdokKliL6RUTxiAWnt3bEPfXWxvXr12X8vup/Edq96ncQGpHQUvT+D3Au6yFgKX38OHxsCURERDB9+nSSkpIkXGOz2ejp6WHfvn2UlJQwPj4uM57LysoICQmhsLCQhx9+2MnBJ4SbaPUokuTExoyNjZW1eXbt2kVJSQn+/v5s3LgRf39/IiMjeeSRR/D19cXHx4e1a9dSUFDAe++9R1tbGw0NDWzYsIGVK1eSlJTEkSNHsFqtJCYmEhMTQ25uLps3b8bX15d//ud/5uWXX8Zms7Fx40ZWr14t8zocDgcOh4PTp09z+vRpqqqq8PX1JTU1leHhYX7wgx9w6dIl3n//fdLS0uju7qa1tZWDBw9KqO6dd95h7969lJWVsXv3bqxWK3FxccTFxRETE4OXlxdZWVmkpaURExODyWTi+eefJzs7m/379/Pzn/+coKAg6YuKioqirKyMzMxMzGYz586do7+/nxdeeIHs7GxMJhM9PT2cOXOGnJwcAB5++GG+//3vExUVxfz585kxYwavv/46aWlpBAQEMGfOHJnn0NLSQklJCYODg8ydO5eSkhKuXbvG6OgoXl5exMTE0NLSgtFo5NKlS0RGRtLU1ITBYCAyMpK0tDRsNhu7du1ixowZFBQUAM6dFrds2UJhYSEw4WMTCoK6p4WCIPb32bNnJWQjlCdh5WmahtlsZtu2bSxfvpysrCzS09Nl1VqxP9WgFiEYVC1eLV6pVkP2hP+rVr/gAa4Eg4CMhY/EE8ztSTDcjR9iKrDSj4BMoFXTtPnAauDMHd3tEyQVZvHUilMwfnf9EMB1D+nJ7uPO/BMmrf5c+DicTcUwMzIyWLFihVMrTbFJRIcsd/dQP/fx8WHOnDn09vY6hdGK0D/RiUxk/J46dUqWchDCRy0MqI/2UaE3q9WK1Wrl7NmzGI0TUVcdHR3ExcXJjN7Dhw9z7tw5duzYQUxMjKyHJKp6VldX09XVRU5ODsePH5elJw4cOEBRURGVlZUyvFZ0HCsrK+PXv/41+fn5hISEEBwczMqVK/Hx8SE5ORmLxUJycjL+/v4YjUaJZZvNZik4Vq9eLTFru30iZDc7O5tDhw7J/ghqAT+Hw8H27dv5t3/7N6qqqrDZbJSXl8u8geHhYVpaWmhpaQFg7ty5Eg40m8089NBDrFu3jqVLl5KUlMQLL7yAl5cXhYWFDA8Pc+bMGWbPnk14eDg7duzg6NGjHDp0iOHhYQlbiaivw4cPExoaKoUlwPz58/nXf/1X3nrrLZnFbLPZ6O7uJioqiszMTEZHR3n99dfZu3cvFy5cYPHixQQGBnLkyBHOnDnDunXr6OjoYO/evdTV1fHggw8SFRVFeXk54+PjbN68WUJbg4OD+Pv7s3nzZq5du0ZAQAADAwM0NzfT3d0tFQJAJiSKDH4vLy+qqqq4cOECgYGBXL58mTlz5sh13NPTw8svvyyVuSVLlpCens6FCxfYu3evjBBTo4wcDgdWq5Xi4mLsdrtsrdrU1CTrWakMWjiRBaNWQ7VdtblVYSV9i1HVT+YJKvLEsFU+oiIXrs5xdw2Vv7iCoadKUxEO45qmDQJfMBgMX9A07T0m8h4+N6RpmtR4xUt2xfxVSe3pxbkj/UtKSUlxKlXhqly2iMYBOHDgAMePH3fKqlQzO8UYVaEhFq9wKAtrQ8VVVVxTfc6ZM2dKx6s4VkAfKmwmSmzDRCMXNdZbn1AnhKKA3uLi4jh48KBkJDabTYZ0CqYYHBzMqlWrKC4u5ujRo3h5eUn4wNvbmy1btpCRkSELtgkymUzk5eVx+fJlRkdH5XMKf0ZqaipPPPEEubm5HDt2DLvdzpIlS5g+fbqTf0Y4x6uqqmS7UJgQoNnZ2U4wgAhLDA0NZfbs2Rw/fpwTJ05QVlbG8PAwNTU1DA0NUVVVxcDAAOXl5RQVFeHr68szzzzDzZs3ycvLY/v27cyZM4eXXnpJ5imEhYXh7+9PYmIiO3fu5C/+4i8A2L59O1u3buXRRx9l1apVjI2NsX//fgC2bdvG+vXrGRsbw8vLi8DAQAoLC5k7dy43btyQxd/q6urw8vJi+fLlPPXUU9jtE2GzCxcu5KmnniImJoYTJ07IAAkvLy9WrVqF3W6npKSEsrIyHA6HhNQCAwN56aWXpEBNTU1lyZIl9PT0yGzm7u5ufve73zE8PMzOnTvp7e2lu7ubrKws6Rdoampizpw5nDt3jgMHDlBYWIjdbufSpUsyws3X15ennnqK1NRUDAYD+/fvp7CwUCbjmc1mWXcKkH07kpKS8PLycko+HR8fp6+vT0amiTpS4vvGxkYZBltRUSGhK3Xf2+0TDvv169ffwpz1+1LlLYLUhFRxPXcMW+UV6n7ToxX6gBdPAkMfIi8+U30pU6Gp1FY6DmwAfgoEAleBDE3Tlno679MkfSc4dz4BV6ROlN7k83RsRUUFo6Oj+Pr6OnUrU+8pjhd4vtjEgJOZ6qrJid4HIEhYEvpr659BmMXqsfoxqR3hBPZvt9slo9GX/VbnQQglMSZV0yktLcXhcMjeyELTHR4exsfHh7S0NFlorampSfpgxH1ELSlRGE9lfvHx8Rw8eJAbN27gcDjYvHkzfX19dHZ2smHDBid/kbA8tmzZIv0mg4ODssaP8IOIiKOYmBgaGhrYu3cvX/rSlwgJCSEkJIS+vj7Zwa28vJyAgAAJc6WlpdHT0yNLUVssFo4ePUpQUBDvv/8+6enplJSUEBAQwMyZM1myZAlms5n29nYqKioIDg7m+vXr+Pn5kZKSQlVVFe3t7TJqKy4ujl/84hecOnWKH//4xxQWFrJx40YGBgb4z//8T7Kyspg9ezaxsbFcuHBB1i0SUUPr1q3DbDbzn//5n/zjP/4jX/nKVwgNDWV0dFRmOPf29rJq1Sqam5spLS1lzpw5JCQk0NraSmtrK6GhoXzwwQd0d3fz1a9+lcWLF/PGG29w+vRpoqOjaW9vJz09nbi4OAoKCli4cCFpaWmEhYXJrPeamhqampoYHh7m+eefx2QyybUp1qlYN2qdqaSkJMxmsywGuWXLFqxWKw0NDbeUIoGPu/6psKjeHyZCuEV3O7WEvT4/6uTJk9IHofoG9ftS3XP6AoGuCn3qz3P3v/q5PqpS5TOTXUP1par+i7tt9vNlYBT4FlAIdPApRCvdDmma5jKUzJVkVklowaIstso4PUlkoY16eXk5pdMLEi9MbQYCE07UrKwsJ0d4QkICnZ2dcpMIcoXnC/hIWEiqRiGew2q13lJiA3DK2xDaT21tLTU1NU7P0NTURHJysgwzVbUedS70mpGoNCqsFlHX3263y+5l2dnZrFy5Uoa9iiglNY9C3E9gxWfPnpXJhiKfY9u2bSxbtozLly9z5MgRfH19ZdSMcICfPHkSgPDwcDk+ETs/MDBAfX09drtdFqEbGhpi586dJCYm8qUvfYmBgQFCQkIoKSmReH9iYiLZ2dkEBgbKlps2m43vf//7/NVf/RVvv/02DQ0NzJkzh2vXrrF27VpCQ0MJDAzkrbfeYnBwkKqqKlkd1mKxMGvWLIqLi7l+/TpVVVVkZmayefNmRkdHGRkZwW6fqFYronS2bNlCSUkJMTExrF69mr6+PkZGRrhw4QItLS0cO3aMn/70pxiNRtavX09HRwcWiwV/f3++/vWvI5Qob29vgoODCQwMlFZdX18fS5cuZdq0adLi0zSNgIAA2traSEhIYPHixbS0tGAymXj88ccJDw/niSeeICMjg6GhIb761a+SkpLC+Pg4RUVFWCwWCgoKOHXqFCkpKTz99NM0Nzc7raX9+/djsVikNeDr6yv9AyKXRkSm2e12jh496lThQI1QFMxPhXnEOhX5NyrzFElsgrHv27ePffv2yf1YXFws92VNTY08Vs9nBLyqt7QFVKxWN1DJFbqh32vic3fh8lOxBozGj32pOrqz2kofVUf9naZpv9c0zaFp2v/TNO0XH8FMnxsSyUuuJtqVCadOeHp6uoRr9AxXfy0Vb3QHTQmy251ruOhxRBFOJwRNSkqKxNOFb0EweUF6+EiMS1zDYDBQV1cnmYq4v91uvyWLVJTj0GsSIpNaPO/p06ed/DdCMIgMaDWBTHyvL/Uhupc1NzdjsVhkPH9CQgLl5eW88sorWCwWbDYbJ0+epKCgQCbBtbW1OZVJsNsnqsn+6le/YseOHTzxxBMsXLiQXbt2ERUVJS2gEydOYLVa0TRNzonRaGT58uUMDk4sXxGRBTjN1dDQEA6Hg+7ubnJycigvL+fb3/42r7zyCnPmzGFoaMjJOrl58yYffvghY2NjdHR0kJ2dTW5uLufPn2fv3r14e3uTm5vrJJQCAgKIjY2VOPvChQudGNfo6Kh8Z3FxcXzrW98C4NixY7S1tdHa2srs2bOl09fX15eQkBDa29uZPn06hw8fxm63c/36dV599VVGR0fJy8uT2dNdXV309fXh7e3Nm2++yY0bN0hMTGTp0qVEREQ4lZKoqqoiJSWFL37xi3R1dWEwGJg/f75sJrRixQpmzpxJbGwsK1eulI7/0NBQ+vr6yMvLY/Xq1WRnZ9PQ0EB9fb10INtsNjo7Ozl48CD19fXSsjYYDHR2djr13q6vr6e2tlbCc8nJyRIeEj6qmpoaTp06Jd+leA6h/IlkOaNxwskswq2Fv2zbtm2yd7zZbObZZ591qgIg3pGr/a72StGTq6TcyRi6K8avV3ZVHufuHHDv/MZDbaWpwEpHgD/WNG3Y44GfIbkq2e2K9FCMO1NMmIaezEf9ca4sFmHCimNVTaa0tFQ2OlcT1kQlVvFbH4qqfx71vhaLBZPJxOnTp/H395e4ryglLsL+BJWWlt6yaER3LtE17JVXXnHq5iWeRb2mGo4nnluFi0Qi3MWLF6mpqWHlypVOfYTnz58vawkJxiN6SguY6/z580RHR7N8+XLa29sJDg4mODjY6V2oz3DhwgU0TZPtLcvLy2UIpBDOhYWFrFu3DqPRSHl5OYmJiXR1dTkVwBNRSP39/RgMBh5++GEGBwc5d+4cZrOZ+Ph43n33XR555BF8fHykxnvw4EHOnTtHVFQUs2bNIiIigsWLF8uaQbt37+ZnP/sZwcHBMiTzjTfeYP78+fj4+EhMWxTXu3z5MmFhYcBErwaLxcJ3vvMdEhMTmTlzJlu2bKGmpoaioiKWL19OX18fMTExLF68mHPnzuHj48P8+fMpLCwkODiY7u5uAgMDKSoqYu3ataxZswZAVpgVEN7Y2BjHjx8nMzOTI0eOsH37dtauXYvdbufHP/4xS5YsYfbs2SQlJXHu3Dn8/PxkUUCj0cgrr7xCZmYm165dY82aNfziF7/ghRdekM25qqsnem2L9a2HmlSmp0KG6h4QsKAIUS0oKGDjxo1OperF+QJyEvutoqJCJviJiC79PhbHivvqYR3xtyAB2eqT3lzxCFc8xtMeV6/nio95OscV3S2sdAOoMxgM/2IwGH4hfqZw3qdG+iQtQa6k52TOHaEZq85lfcSCIDXpS08iwUVcU+04Jl6WqFmvWjft7e3SghDlsoWWpT6TXkMQhfCsVisXL14kIiKCpqYmamtrWbBgAcnJyVRWVsrucoIRq3HaQjiJYoIiTFJfF0rAQiJCRIWlxHOPjY1JzU2UQxgZGWHHjh2sXr1azpmXlxdms5mUlBSWLl1KWloaFotFRpkYjUZ8fX3p7e2lqamJ8vJyoqKiZPy/zWbDarWyb98+Tpw4wYkTJ3j11VcJCwujtbWV+fPnYzQa8fPzIy8vTzIco9Eo8fiqqipOnjyJ3f5xlV0RvZSSkkJqaiqXLl2iqqpK+ge2b98uey4/9thj0vcwNjbG0aNHmT9/Pi+++CJms1lCYDbbREXXnJwcnnzySUpKSjh06JAsc/HBBx9QVFTE2NgY8+fPlxVKExISWLNmjfSVABw/fpykpCRaW1t5++23OXDgAG1tbcyfP5+lS5cSExPD6dOnuXDhAt7e3gwODrJ7926ys7OxWCzMnTuXhx9+mL/8y7/koYce4ty5c1y4cIGOjg4uXbrE1atX5Tvu6enBZDLxk5/8hMDAQKqqqgAICQnhypUr1NfXU1JSwunTp5k1axbDw8OyRMfzzz+Pv78/ubm5NDQ0yJ7aaq/tlpYWysvLZQn1wsJCXnnlFU6cOCE75Qmns0oCShJtS4eHh2UkmqgHpUKrAlYRe1s0A4uJiaG1tVXWylL3ulBQRDSgqoyoPEMVHK6qP+uZNbiuAO2J9PdxlxEteIk4507DWadiOXzD1eeapv2/277bJ0RpaWnaL3/5y1sSstwlurmSuvoXr08am6xLlOoUE8kxtbW1knGeP39eLm6hXatp81arlR//+MdcuXKFH/7wh0RFRcmFeuDAAdmwRr2fOk74OONZdNgSYwSkpp+cnCwjOETzG2GdCM1KPIsYvysrSmyKyspK2dNYTUhSndxlZWWy57KqtYlnqKiowGAwyHcloKO6ujquX7/Oa6+9xtatW3nooYfo7+8nLi5OdpbTNI3r168D4OfnR0REhCwJ8fbbbxMaGkpGRoaEIITD89ixY8TFxbF161ZMJhMWi4Wuri7Gx8eJiYmhvr5eJtFlZmbKRKzGxkaZvNXQ0MDmzZtpaGigo6NDJtpFR0dTWFjI7Nmzeffdd3nwwQdJTk6muLiYpKQkFixYQGJionz+I0eOsH79el555RVmzJhBXFwcFouF4OBgCf/4+vry9NNP09fXx/Xr1zlx4gSzZ88mODiYvr4+tmzZIq0etQudyWSisLCQ5uZm5s2bR1hYGIODg7S1tTFt2jQCAwNlDaPt27czMDDAnDlzMJvNMhzX19eXkydPsnDhQtkkKDg4GH9/fxYtWgRAfX09FotFMv/58+cTGBhIcnIy+/fvJzIyUjY1Wrx4sVQ4Tp06JeGpvLw8CgsLaW1tJSsri4CAACens0gIjY6OdurdbLPZKCgooLq6mu985zsYjUa5dsvKyvDy8mJsbIwlS5bQ3NyMpmlOZWdqa2sZGhrCaDTKIAr9/gZc7nFh/ehL24j9oVrVKl/y8vKSEVSi6KSe9NaFO0vB03murBaVDAZDlaZpaa6+c2s5GAyGEx/9mfCRr8Hpx+PoPgPSS2G73S7xakFqVI0+/lddEGpoqclkkuGN4jP1HFVLEFbG+Pg4RuNEnRihIakROSLmXR2D2Wzm+9//Pq+88gqhoaHy3kajkby8PBmOKpi4cH4JPF4cX1tb6wQfCadzfHw8WVlZsviY8EMUFBTI+42NjcnSFBUVFQwPDztZWsL3IBaf0ThR2kLUwxH5EypUZbfbZbw74KSJibLhKt4v3pPoIrZs2TJycnJYt24dwcHBbNq0SXYkS05OJi4ujtLSUgAiIiLYuXMn//RP/4TdbudP//RPSUxMlBaauI+ox7Nu3To5r319fWiaRnh4OK+99hoOh4OcnByp8Qu6fPkyMTExLFq0SEY3wUQRO19fX1paWmhsbJSC4rHHHmPFihWEh4fzgx/8gISEBEpKSnj11Vc5ffq0jNARTvf4+HgsFgshISFYLBa++tWv8qUvfYmnn36aS5cuERcXh5eXF9/97nfZunUrM2bMICUlha6uLmntRUVFUVdXR319PVarlaNHj8qcnJCQELy8vPDy8mLt2rXU1NSwatUqduzYwZtvvklgYCB79uyR0FJsbCxDQ0NcvnyZ8PBwli9fzrx58/iP//gPWTfq3LlzDAwMSKdyYmKitDpEEh9AamoqCQkJvPrqq1itVmw2Gz4+PmzcuJGkpCSuXr0qq7Q++uij+Pj4EBsbK9e50TjRxEi0UFXLWNTV1bFjxw75ubCIRVmUkpISABnmDshKuOnp6axZs0Zmtou1qO5vlbEL34XYY+4a9tTU1DA2Nubk8xBjEvCYUA5cld9Q+ZQrS8GVD0O1SvQwmJ4+OtbH5Zd4hpVmGwyGlcB6g8GwyGAwpKo/Hs77TEg/gSKzWJiXQusQL1fF7fRwj+p4FlCPKiD0eQwiMkJEQwinl1o3Rb2X+tLU64lwSPG/zWajtLRUOuaEoHE4HDLKorKy0qm2i1i04j6ijpPaX0EsyNTUVDZu3EhHRwe1tbWkpqYSGRlJS0sL169fv6VooGCuYp7Fdz4+PtIJreaXWCwWmpqaWLVqFVVVVbz88ssSH87JyaGgoAC73U5aWhrJyckSAjCZTKxevZrly5dLpimSp8xmM2lpaRgMBpqamjAajTz33HMyHn7VqlXMmzcPh8PBW2+9RUNDAyUlJdjtE9VbMzMz8ff3l2UfRA8M0cHOarXy9a9/HV9fX06dOkV6ejqtra3cuHGD48ePs2HDBjIzMzl37hy1tbWUlZVx5coVKisrCQsLIyQkhM7OTrq6uhgdHZUlrsX6Gh0d5fTp0+Tl5UnhPG3aNCwWC6dPn5YlKrKzs7HZJnoqWK1Wuru7uXDhAu+9956sSnvw4EHefnuiWMHY2BjJyclUVFRQVVXF8PAw1dXVlJaWMjo6yre+9S0eeeQR2traJHRmNpvJzs6WpdkFIxN9I+bNm0dLSwvJycksW7ZMZilnZGQwZ84cFixYQGxsrMwFCQ8PJz09ncTERHbv3s306dN56aWXCAwMpKOjg/Lyco4fPy6tPtHMp6+vj6SkJJmE1tbWht1ulw5+keV99uxZ6urqOHFiQm8VikZnZ6f0ix0+fFhGFIlaXWazWYbPqqSuZ7FmRVMgoQjpYV9RwkMtgSPWrcqEjcaJarI+Pj4YjUYn6FVNthN5UO7KY+ivqSqoet4lnO8iSnIy+ujcMXffu4WVDAbDJuB/MFGVtUL3taZpWs6URvApUHx8vCa0AEFi0lQTTjXfJnMkucsRcPUbPnaIqp+ppmdpaSkpKSkuHV6q30IsAAFFjY2NkZmZKR3UotyFeix83EtZPVdl1KrDVsBa6oK0WCyEhoY6he2JInOu4Dar1cqRI0dkUpo6fwBFRUWUlpaSkZHB+++/z8aNG+WY1eJ7qamp0kchiqipTknRntRsNjvFi4vxCEhGKAQ9PT3U19djMBioqakhLCyMqqoqHn30UZnXYLfbeeONN6QGvX79eunDCAkJ4fDhw6xdu5b29naKi4tZsmQJM2fOlImC5eXlvPXWWwwPD9PV1UVCQgKpqanYbBPNdTZt2kRDQwNFRUXMnz+f4OBgxsbG+Pd//3dWrFjBv/7rv/LVr36VJUuW4O3tzc9+9jNCQ0P58MMP+fDDD+nr6+P73/8+r7/+OqtWreK3v/0tP/jBD+js7MRms7FixQrMZjO7d++mv7+fP/uzP2PPnj08//zztLS0yGirpqYmKQxPnjyJw+EgPj6etrY2goODeeihh+jt7WX27NmcOXOGBx54gAsXLrBo0SKZHNjQ0EBMTAzj4+N0dXXx1FNPUV5eLhsC5ebmcubMGc6ePcsLL7wg18jhw4fZvn07JSUleHl5YTAYiI6OdlpPIox4fHycy5cvs23bNiwWC3/1V3/Fpk2b6O3tlY5l0bfbbrfzN3/zN/zwhz+ktbUVTdMwGAwStqyrq3OqgaT6EIUmr/bwViEgo9F4CySsBpGI/abuGz3yoB7r7nuVXEHc7kiEsusrvOrH4mk8+ms9+eSTFzRNc6nsu7UcNE07pGnaY8DLmqY9ovv53AgGmMBE1YcXODZMJJsJfFG0udQ7mYVjS4WIVCtBT3pLwGKxcODAAU6dOiW1FaEtiOuIFoqq6SdgIpjQWETvBKGJqI1IbLaJPsZWq9VJOKkmr5qZKSIwxE9tba20moSlI5zTFouF73//+/T09EjrJD4+ns7OTicoSTXj29vbnUpLGI1G2Qa0rKyMy5cvs2PHDv7oj/5IbnCxqcSGTkpKor29XeLRwmku7nf48GHMZrPMqhW1ZsS7NplMrFu3jsrKSiorK2lvb+fVV1/F4XAQFhZGQEAAjzzyCM8//zyZmZlUVlby61//GoDExETWrl3L7Nmz2bVrFxaLhdHRUVmtc/fu3SQkJMgSJKmpqRiNRhm2u3btWr761a/yp3/6p6xcuZLGxkbZQ7mtrY3ly5ezbt068vLyOHfuHMPDw/zFX/wFly9fJiUlhejoaIaGhqivr+eJJ54gJyeHxx57jFWrVhEWFsZ//Md/MH/+fB566CHS09PZs2cP+fn5shz4L3/5SwAeffRRgoODmTlzJna7ndjYWNra2mhra+PatWvMmTOHM2fO0N7eLktQzJ07l/Pnz8ukOV9fXwnf/dVf/ZWcH+H8rqqqktaGcBh3d3czbdo0jhw5wocffsjKlSs5deoU3/jGN/jBD34gI8mys7Pp6enh4sWL/M3f/A3vvPOOzFCfM2cOHR0djI+Py7IZBQUFfOlLX2LZsmU4HA4Zkisc18HBwfz0pz+ViYRjY2Oy8uqRI0eIjY112tMCCYCPG/uMjIw49YI+efKkzG0Q60vsXRVGdcVk3fkzVYGjwteueIkqGAT07er4qVgZqhWkH4/+Wps2bQL4vcuLMYVoJU3TfjTZMZ816XvCqpFBYrLExIqCcaopqEJRgnGqv/XCQMX1hNDJy8tzKqwn7i2uk5ubK6tlioSZAwcOUFZWRm1tLZGRkXR3d0tzWixetTOV0IJFuCF8bFoL81ZYIZqmyRwFmIgo0jRNbkybzSYrUQpISJ0bfdkB9V4iGUhosir8FhkZyYoVK9iwYYPElUVCmyiQJhII6+vrCQ0NdWouLyAFo3Gib0RfX58UQmIeBPZ7/Phxzp07R0tLCwMDAxQWFuLv78/IyAi7d+9mxYoVdHR0SIfn3LlzZWOXhoYGXnvtNby9vcnIyJDHjI+PExoayvbt2wkNDZUx72LOhLBYuHAhCxcuxM/PD7PZzMqVK8nIyJDhpqovadWqVWzZsgVvb29WrlxJVFQUXV1dlJSUcOPGDebNm8e5c+doaGigrq6ONWvW4O/vz9WrVzl79iwREREEBQWRnJxMVFQUK1asoLq6Gi8vL7kGL168yM9//nOKi4vx8vJi06ZNLF26lJqaGmJjY/nyl7/M5s2bsdlsXLlyhejoaCorK/nxj38sK8fChJKSnp5OWVkZqamprFmzRjr8Q0JCpD8FJoSGl5cXb731FqOjoxgMBp5++mmZ3yAUtDVr1lBcXMwjjzzCpUuXGBoa4p133uFnP/sZ06ZNo7e3l87OTnp6eujq6mJgYACj0SgLDRqNRierTygkubm5sm6WUBREHSfVT1ZWVsaBAweAiTLn06dPl2HewqIOCwtz2ueu8H5XPMAV89X7P/VQtJ5UwSCUTFe14QRULWDyqSa/uQt3/Whdu02Cm0qzn/9SJDA98bcgu90uS0SrTlD9ce40AzHJgGzWk5GRoUpgp+NVyKi2thZN02TvgevXr0ufiCrtRSlrkXmt1owBWLlyJXa73Wkj681kMQZRymDJkiXy8/T0dNnKUxSV6+jowGh0LkSohrKKjSDupVaiHBoaksImKyuLqKgoed3Ozk5CQkJkmQyBwQr4Ly4uToYHjo2Nce3aNRYtWuQ0J6LhfUdHByaTySkfZGRkhMbGRulYvXz5smTyDoeDDz/8kMuXL5OUlER+fj6jo6OUl5fz9NNPYzQaZYN7kXvQ3t7OmjVrqK+vJysrS9ZSio2NZcOGDVRVVXH8+HHi4uK4ceOG7A8BE/4TX19fWbrCx8eHnp4eDhw4wNWrVxkZGSE7O5v09HQsFgvvvfce2dnZREVFce3aNV566SVSU1N54IEHWLFiBZGRkfzud78jKSmJkJAQzp07R09PjyznffHiRRnddeTIESIjI5k7dy42m01GObW1tVFcXExHRwcvv/wyZrOZw4cPc+rUKaKjoxkeHiY+Ph5fX1+mTZvG4OAgq1evpqioiGnTpvHLX/5SOpm3b99OfX09fX19AKxfvx673U5HRwddXV08+uijtLa2cvbsWZ544gkCAgKIiYkhLi5OlkTPzMxk1apVFBQUYDAYmDlzJs8++yyVlZVs3LiR8+fPc+DAAbKysli1ahVGoxFvb2+pKdvtE07gsrIy6uvriYmJ4fLlyzKKD5BRd+peFL6BzMxMub5HR0epra2Ve0TsSxWCUvex+FucAx9Ds2pfEKG0iKg78bmr/AyVxD0ET1AVIT05HA6nplCTQVGurqPL43IbrjqVPIf/UuQJ4xP+FSFAJsMBVVhGnCfO1bcZVZ3d4lixUIVTWCRNXbp0SUJNgrkqklx2htOT+CwrK0vmGghBoWooot2igHPU5xGlRkTPXiHgBE5bWlrKwYMHnRodAbLy5djYmIwWuXz5sjTjYcLxt379eqnJHzlyhOvXr1NXVycjiiIjI6mtraWlpUX2TxAJUgUFBZSXl3P+/HkJ1R06dIgZM2Y4zacQMNHR0URERFBUVER1dTUNDQ0YjUZycnL4m7/5GzIzMwkODiY3N5fs7Gy+/vWvYzKZ2L9/P/39/TLvYcWKFWzevJlLly4BEyGxmzdvJjY2lldffZW6ujpSU1PZvn07DQ0NzJs3j2nTppGTk8Py5ctleKdIWgwJCeHo0aOEhobyzjvv0N/fT1lZmZzPL3zhC4yMjNDe3k5RUZGM1unt7WVoaEjmMGzbtg2bzYafnx+jo6OyqdWSJUtISEjgP/7jPxgYGGDRokWEhIRw8eJFli1bRl9fH0uWLOHpp59m586dlJSUsH//fpYtW8bMmTNlbsmVK1fYtm0bDz/8MK+//jpWq5XHH3+c1NRUdu3aRU9Pjwx1LigoICAgAJvNxiuvvMJ3vvMd3n//fQCmTZvGzJkz2bZtG2vWrGH79u2sWbNGZj83NDTIUNuIiAi8vb1lvaWgoCCMRiOBgYFs376dwMBA6urqeOedd/jd737nFMmzdOlSUlNTmTZtGqmpqWzZskX6MASsKaxoFQ4V31dUVGCxWLh48SJjY2O0tLQQHh7upISpZTf02rlQMGEiP+PgwYPSUhFQtZrbJParm7IV8poikklY3+pe15MowCmUR1fWxWT/uyru54o8OaR9majIOv7R/7FALnBR07TDHq/6KZPa7EfvtJzMMeOOxKR6uh58LIVVB68KfbS1tcmoKXEdIQiEf0Ftr2m32/n1r38t4+9VZ1V7ezslJSXSUhFjsVqt5OfnA5Cbm0tnZyfNzc2yRLF4HiGIhJXhyhGmCkM1W1s4a1977TWZGCdM8tLSUlkkD5DhmTChsdlsNlpaWhgZGaGzs1M+m3o/MWd1dXXExsbS09NDaGgoZ86c4dq1a0RFReHr60tcXJzcFKKMN8CFCxcYHx/H19fXKaciODiYV199FX9/f5qbm/nSl75EUFAQ4eHhHD9+HIfDwRNPPCGvKeZyw4YN8h0ZjRNx8yKxb/r06cBE9vLBgwdpaWkhJCSE6dOnc+PGDeLj42XBtt7eXs6cOcOCBQuIjo7m2rVrkvlmZ2fL93/16lUKCwuZNWsWycnJTJ8+na1bt1JdXU1raysrV67knXfeISAggJycHHbv3k1KSgrnz5/nm9/8Jm+++SaJiYlMmzaN3/3ud/yP//E/+Id/+Ad+8pOf0NzczKFDh1i4cCE3b96UTL20tJR//Md/ZHx8HG9vb4qKiigoKODVV19l3rx5/OpXvyIgIEBq9r29vVy7dg0fHx9ycnI4d+4cgYGB2Gw2MjMzyc/PJyAggMTERGJjY9m1axeJiYkygzo/P5/AwEDJANetW0dJSQkOh4PZs2fz/vvvS1iupqaG3t5evvWtbxEcHCxzd4QS1NPT45R7Y7PZ+PWvf42Xl5d8d3b7RETX5s2bAaisrKSlpUUqRmKdi/2rFuAT+1coQvrgFJvNxq9+9SsGBgZkboW4h1r1QIWuXEE7gseoza1cWS1CwVMhK1e5Ffr8Bnd7XHz/4IMPus2Q9iQcTgH/Q9O0NoPBEAWcA94EEoBzmqZ91+WJnwEJ4QC3Rh9Nlp4+Galag75Uhj5BTmgBIsZavAD9wtJfXxxnNE4kxOzfv5+4uDgZd200GrFYLHzve9/j+eefJzQ0lAMHDshaQiKySAgQteyE8CtkZmbeUj7A3byouGt1dbWEn0TrR3VjCSYtNoQauiuead++feTm5tLa2kpzc7NkxqJekij/nJeXR0tLC5qmSWGsH5canVRUVERPTw8RERE4HA46OzuZP38+iYmJlJSUkJOTQ29vryxcZzKZKC4uJi8vT1ZSbW1tlaUjxHjffvtturq68PLyIi4uTs5hS0uL7ElgtVrp6uri+vXrHD9+nCVLlvDAAw9w5coVYmJipBP15z//OatXr8bLy0smRIlKrzabjWnTpnHo0CHy8vIICAggKSmJ5uZm+X1qaiqNjY1s3bqVV155haysLAYGBpg2bRpLly7lF7/4BXFxcQQEBMjoo2nTptHa2sq0adOYNWsW8+bNk1nYfn5+zJ49m7//+7/n4YcfBia00Tlz5jAwMEB/fz83btyQEJWIlBPd8P72b/9WJiFeuHCBmTNnkpOTw7//+79z8uRJtm/fzsMPPywL4wmBrWkaMTEx1NTUyByMJUuW8MUvfpH+/n5aWlrYuHEjwcHBsvyJOHd0dJTLly+zYcMGCgoKiI6OJjY2FqPRKMu0iL0XFxcnS3qPj49TXV1NTEwMV69eZdWqVRQWFvLEE08AH3duE4qEKPsiyvCLCKn8/Hwn35Mgq9UKTAgOtWubnhGLTGz9mhb8yRVvccXYXQkOvcI72f/6Pb5kyRK3SXCehEOdpmnJH/39I8CsadqfGQwGI1Apvvs8kLvaSkJiu5vkqUw2fFygTc2SFp8Ji0FoCGfPnsVgMMjywu78Ga60CSFsgoOD6e3tvQW6EhmoYkELoXP69GnZIQxwskoiIyMpKChwOxZ3z93e3s5zzz3Hj3/8Y0ZHR0lJSZEOVtUUFqVLhIYlHNlnz57l4sWL5OXlcejQIZlBLa6hWk1i7kTYqqh4KhiBmtVts9no6OhgcHCQzs5OWXzOx8cHh8NBY2MjQ0NDfOUrX2F8fJyQkBD27t1LSUkJ//AP/yDr+NhsNtkzYevWrVRWVsrxtrS0yExps9lMWVkZSUlJ7Nu3j+7ubmbMmEF7ezsLFixg06ZN7Nu3Tyb0paSkEBQUJOPhhSVRVFSE1WolKCiIpUuXMjAwQE5ODmazmd7eXv7hH/6B2NhYTCYTly9fJjc3l5dffpnvfe97vP3222zZsoX8/HyeeuopSktLeeONN1iyZAn+/v6sWbOGX/3qV4SHhxMWFsalS5cICQmRkJDamzkuLo60tDTpZG5ra2PGjBmsXbuWw4cPy2zsmzdvSuipsbGRmJgYNmzYQGBgIAMDA4yOjnLy5EmeffZZLl++zH/+53+SnJzM3LlzGRwcpL6+nu3bt7N3716SkpI4f/48QUFBXLt2jdWrVzN79mx6eno4efIkf/qnf8rRo0dl3oSA5IQAunjxImvWrCE0NFRaDvn5+TgcDuLi4sjMzJQ9OIKDg53CysvKymTNpebmZsbGxli+fLm0FozGj7u4AU7WtbBM8/Pz2bx5s9u6S+JegoQ/QhQMVP2B58+fx+FwSCtI8ABXyqMnpON2URB3AuJOLYdaTdNSPvr7DPB3mqblf/R/jaZpC6Y0sk+BVFgJPtbY1ZIVKjMU2r1aFkKYkDU1NVITEbCK0FaFEBCN7oUjy2AwEBERIcsNCCZoMpk4deoU3t7esj+CWgZg7ty5LF++XI5NLCp3gkh1fInFLYrSiYJvvr6+t8RpC2hI3ENvdiYkJEitVsVb33nnHR599FGpke3atYsdO3Y4FeETG7C5uZnIyEgppES0i5h7cT8xbrFx9CUzOjo6GBsbw8fHR2r7FRUVUvP19fUlNjaWffv2ERISQnd3N1evXuWLX/wiiYmJtLS0EBAQwH/8x3+QkZGBv78/4+PjXLx4EZjweUyfPp2QkBC6urokQ66trSUgIIChoSHi4uKw2yei0BYvXsypU6fIzc0FYP/+/Xh5ebFmzRouXryI0Wikvr6eiIgIQkND+b//9//y+OOPy34EYWFhBAcHc+zYMc6ePcvTTz/NtWvXGBgYkLkFzz77LMeOHcPLy4vs7GwqKytpa2tjdHSUWbNmsWzZMl5//XVaW1v5xje+wWOPPYbFYpGFAy9fvsyePXv4yle+gre3tzy3ubmZ5cuXU1JSwuOPPy4dsALys1gssq5Vd3c3vb29PPTQQ5SVlfHDH/5QluI4ePAgvb29zJs3j6amJmJiYvDx8aG6uppt27axcOFCampqpE+qsrKSr3/96yQkJMiyJMPDE3U7vb29ZQ/rxYsXc+TIEXJzc+nr6yM+Pp5r164xY8YMZs6cCUxE64WEhMjugEIQiKrAgLTkxD4V+0fd9yIHQrVKhUavlsEQNb3UFr6hoaESxtILAldMV4Wa1SAY8Z1QikRJGyEoXBXxVPeZJ6vCHU0GLXkqn+EpWqnWYDD8PXAJiAKOARgMhgCPo/mMSDB9EUUEzhmQKgmBqDLbtrY2kpOTMRgMTslV7e3tMoNUMNLm5mbCw8Nl7L7dbpfN5pcvXw4grYr29naJeaovPy8vj/z8fOx2O0FBQaSkpMjvxLjg1kQvlcG2t7eTnJyMpmm3JOyoFoHI2l6wYMEtafXCrBVRPgLKqq2tlZm9IpJix44dHDt2TJr1whkoWk8K57iwAsLDw2VyltFodIK1BOMXYywtLZV+EkGiB4N4jx0dHURERGC327ly5QohISEkJCTwxBNPYLPZOHr0KHPmzJECXhSqmzNnDidPnpSCzWab6Fm8fft2mpubuX79OgkJCezevZuMjAyGh4dllvKePXuYP38+r776Kjk5OcTHx2MwGBgYGKCrq4vg4GAiIiLw9fVlYGCAxx9/nEceeYSSkhJGRkb42c9+xpe//GUCAwNloT/B2NRaW//8z//M+Pg4ra2t+Pr6Ul1dTV5eHv39/fT09ODt7c2GDRt46623pGVQWlpKb28v3/zmN/nKV77C0qVLOXLkiBSaERERtLe389hjj+Hv7y97O4yOjhISEkJQUBB1dXWSkX7zm98EJgINDhw4wOXLlykpKcFsNjM4OMj8+fPx9vamo6ODvLw82ebz9OnTmM1mHnjgAaZNm0ZiYqLsmyHyV8T7nzdvHkajkcHBQVJTU0lNTWX37t0MDQ0RFRVFbm4uR48eZeXKlXR0dMiS2nPmzJFhrcJaP3HiBB0dHWzduhW73S6TwxISEjh16hSXL19my5YtsvaSiIQTzFnAR0J5EftOJFCq+0WsdQGFqnxG3WvwcdUEo/HjyElxjFpAUAgIu93uVIdNT2p0kTpWdxC1Sq6OVZVC7rB8xjeBASAcWKtp2uhHnycAf+/hvM+ExIsQYZPqi4GPo3mMRqPTSxHYuoh8SE9Px2w2S5M/NDRUan1Cm09PT2fFihWSURuNEzVf/Pz8nKIBTKaPK5w2NzdLplBdXY3ZbGbDhg1cu3aNiIiIW+q9V1dXyxLc+hagCz+qzZSQkIDZbGbp0qVOjFZoRGKxiL4NaoVKdd4AqfWLz0R/CPF3Y2MjZrOZLVu2SGZ54sQJCS9dvXpVNtapr68nKCiIrq4u2XZSQFCiZEV+fj5lZWUSjomLi5POyIMHD1JZWcnAwAD5+fkkJyezZMkSNm3axPTp02UbyIGBAdkMZvfu3cyZM4eoqCgZ1urn58f8+fMpKipi4cKFXLp0ibKyMsxmMzt27ODq1at0d3fzr//6rzQ2NpKRkSGtDGEJPPnkkxIaWLRoEdOnT8fHx4ekpCTmzZtHSUkJbW1tsne0r6+vLIWRkJDAX//1XxMcHExqaqpsD9rT04PVauXYsWPU19eTkJBAeHg4f/d3f8ecOXPYsmUL27dvx2w2S8GYk5NDREQEiYmJjI2NUVpaSmBgIA899BC7d++WdZpmz55Nd3c3MFHvadGiRTz88MMMDw9z7do1tm7dSkxMDH5+fnzlK18hKCgIgO7ubnbv3s0//dM/YTAY0DSNmzdv8uCDD7Jy5UqmTZvG6tWrCQoK4n//7/9NSEgIjz76KD09PSxatAhN05g2bZq0vnJzc2VugoBq5s2bx65duzAajXzve9/j1KlTUukwGo2cPn0aQBZ/VGFVPz8/adEdPHgQi8VCS0sLN27c4OjRo3z3u9+VPgCYEHBr166VgmHWrFlybTscDiorK6moqJCVilWYNy0tjfj4+Fva9womHhERIQWL4CEij0etwqo6nPW93wXfEc/oylcgfqsQmH7fqse7y3twZTEoUVluy2d4ypAe0zTtZ5qm/bmmaTXK56VAp7vzPksSDkt99rOoUaTWIBKMT++YFbDR7t27sVgs9PT0kJeXx/Tp0295ieKl1dTUSEGgQkJGo9EJNhGNQoTTNjg4mC1bthAcHCzzIcT1g4ODZQluYbXoLYLa2lpZBVM8Z2NjI5GRkbJWkfgMJkJk1QRBMWe1tbX4+Pg4aTmALJgntDWxwC0WC08//TSrV6+WyXNqRc3R0VH6+/sZHBykt7dXmtKqoz4qKorR0VFefvllenp6yM/Pl8IrKiqKtLQ0fH19CQsLk5ZZVVUVaWlpREREMDQ0xKZNm1i/fj1Xrlxh6dKlLFy4kKKiImbNmiWVgNbWVhwOB4GBgcydO1c2HOrt7SUkJISqqioWLFjA4sWLpcYukudOnDhBd3c3K1asYGhoiHPnzsl5PHfunAzJDA8PZ2BggHnz5jE+Ps7u3bv5whe+wJ49e2Toa3l5OQ0NDXh7e/PKK6+we/duli5dyuXLlwkODua5554jMzOTyMhIrly5Isfj5eVFb2+vhKlEKHRoaCj/3//3/xEYGEh2djYZGRmUlpYyNjaG1WolJSWFNWvW0NDQwODgINXV1WRmZvJv//ZvhIeHM3/+fPr7+6V19eUvf5kdO3YQFhbGunXreOGFF7hx4wbbt2/nyJEj+Pj4cPr0acbGxjh16hRnz57lzJkz/Pmf/zk5OTlcv36dxMREiouLGRoaoqurC4Dk5GQ6Ojo4ffo0DQ0NBAYGSmXi0qVL7Ny5k/b2dlkTq6Ghgblz58q1XVlZKS3rgoICWaKkoaGBxMRENm/ezNDQEN/+9rdlwyiTaaL3eFdXF/n5+TKS7uDBg9jtEzW2kpOTZYl4EVQhFMja2lqampoIDQ2VhSjFvhgdHZWKjQiXFYw2Pj7eqd2u2LMis1+Q0Wh0amGq8h9xHzUjOyEhQRaIdEeerAl31/2I3OY5uIWVPuoCtxmYCxRqmlZvMBjygBeZMEUWuR3pZ0AC43elZRuNRpYuXSqzItWaR8I3ofZ4NZvNPPfcc7IQnjAHwRmzV81Qu93u5KAWJO6xdOlSJ61ewEDq4hCL02SaKCH9zDPPSCeYmoAnFtrAwABvvfUWzz//vFxsUVFREuISZUWEsFIdY6ozTGXaai0qEYIryly3tLRgMBhkqClAV1eXLIyXnJwsIQSBicOEWSw0YAH9ZWZmYrVaOX36tMwgf/XVVzlz5gx+fn4YjUZpyTQ3N8sEqqSkJI4ePUpAQADDw8NcunSJtWvXMjo6KmEeo9Eow1G9vb1lD2nRe/rw4cPMnj2byMhIQkND2bx5M8HBwSxfvpzo6GisViszZszgwoULvP/++wQFBbFmzRpZeO/cuXMUFxezatUqmWuyatUq6uvrSUpKApDhpydOnKCxsZGenh5WrlzJ9OnT6ezs5MqVK8THx7N27Vqampp47rnn+N//+3/j6+srC94J2EVYY5qmcePGDbq7u8nOzpb1khwOB319fcyaNQs/Pz+ee+45mYkvaiuJUtT9/f3YbDb6+/v5xje+QXR0NAUFBaSlpVFQUMDFixfx8vLikUcekUle4icqKgovLy/mzp3LlStXuHr1Kr/5zW9YvHgxfn5+/OY3v+Gb3/wmmqbJUihZWVkyvNrhcBASEkJzc7Ps+yD8Un5+foSHh9PQ0EBhYSGLFi3i0KFDTJ8+nfLycnbu3ClzErZu3SrLxIt1YjKZCA0NlQpbR0cHsbGxjI6OUlRUJDvdifWo1gUzGo2yWGZjY6MMl7Zardy4cUPeq729Xb4TYQ0L+Mlmm+iIuGHDBgoLC9m0aZNTqKnKOwCnz8Ue1MO94n99pQZ3cJI7a0KFo6aS3yDIE6z0L8AOYCbwC4PBsIcJOOllTdM+V4JB07RbJKLe+y8cjKJshPoi1Jo9Km4ovhfaNXBLkTwBXwmsUy/hxQsS18zIyJAwktVqlRq/0IgOHjyIzWYjISHByfEr8E41gMDPz49nn31WOlRFuey8vDz8/PxITp4IKBPmsbAaROVGUfpClPUWbTXj4+MBZJKcyCVISkqSTkqz2cyuXbucelOL5LzKykqKi4vZtGkTW7ZsoaioSGaWioRAgM7OTlktMzQ0lGeffZZr167JJMD09HQyMzNlFFJbWxsnT54kKChIavF5eXk0NDRIoTU0NMTChQuJjIzkwoUL2O12Lly4wMGDB+nq6iIqKorZs2fz7//+75w5cwYvLy9ZBqSyspLCwkJMJhNvvvkm2dnZBAUFsWHDBkJDQ6Vy4efnx7Jly1i4cCGLFi3C29tbJh5WVVWxcOFCvLy8ZAJcUFAQDzzwAP7+/mzatAk/Pz/Wr19Pb28vBw8e5F/+5V9ISkoiLi6O4uJi9u7dy9mzZykpKaGqqkomXonnW758uYRJQkJCOHv2LJcuXSI6OprW1lZOnz7Nd7/7XZYuXcqyZcsApCa/ceNGKioqOHHiBG+88QYlJSU0NDTQ1tYm+z2MjIxw5swZRkdHJYTj5eWFr68vUVFRXLlyRUbMpaSkYLFY2LZtG3/9139NV1eXhH9ERdmjR48SFxdHUlISxcXFWCwWioqKMJvNDAwM0NjYiMPhwGKxsGHDBmbPnk1fXx/Lli3jG9/4Bjk5OVy8eFFmSBuNE9n5dXV1GI1G1qxZw2uvvSat8srKSq5fv05LSwvLly9n06ZNZGRksGTJEiorK6mqqnIKMMnKypLMWfjyrFYrhw4dIjY2ltjYWKn4VVVVyVamgISoysvLZSkakYckeIIrP4EqMNSaaK6ilvS8xJ01oCf9PYXwU5EVT+RJOKQDX/wonyEX+CqwSkQsfZ7IYDBIx6qYbP2EqbWVVCxTkGC+Z8+edWLaglTNwh1ur0p49Tv9CxKtGoUforKykv3795OUlCQXoFqADj6ugiryGcS1hWUjmG5lZaV05IliafooCwFPiCKBwldTUFDA2NiY7KkrIojy8/NpaWkhJiZGLvirV6/yzDPP3FJLSmw24cMxm81ysxw6dAir1SqL8zU3N0vIzGazERwczIYNG/D19ZVzrZIowhcZGckXv/hFGelVVFTE6OiohLcsFgvz58/n4sWLxMbG4uPjQ0xMDDk5OQQHB5OVlUVgYCDx8fHs2LFDWnFCCF66dInU1FRGRkZkCKNghMJJ3tjYyM6dOzlw4AC9vb385Cc/wWQyUVVVRWtrK3l5eQQGBkrfyCOPPCJLkBuNE1nc27dvZ8OGDSQlJfG//tf/Ynh4mISEBLy8vLhx44aE6IRg7erqIiYmhpUrV5KQkEBiYiIPPfQQOTk5LFu2jJUrV8q1+o1vfIPg4GAKCgoYHx9nZGSE/Px8UlJSePHFF9m5cycGg4Hf/va3DAwMEBgYyMyZMwkODqa+vp6jR48yNjZGeHg4ubm5cgwOh4Oamhp+9rOfYTKZZM+GgoICjMaJQnv19fUUFBSwatUqAIaGhqiqqsJms8kQ35ycHFJTU9m8eTMBAQHSKjGbzYSHh3Pt2jXGx8fp6+tj69atMkqtu7sbq9VKSUkJQ0NDMjhhyZIlUpsXuTLj4+PY7XZ6enpkqPX4+LhT+XpAFrU8efIkzc3NhIaGygCNxMREWZbDaJzIIxofH5cMPS0tjbS0NPz8/JySOw8cOCDXuidmLoSEKixU34n+HFfQkSdrQM+L1HYEk5GnaCW7pmm/B9A07YbBYGjVNM0y6RU/A1IZt5goVx56tfOa+rnw3J89e5aWlhaGh4fJzs52ciyLMNTJogTcfScYvRBSajP52NhY6urqMJlMZGZmUlZWdsszNTc3y8JiQiDoTVGYYPwCJhKRV6pDWIWRVKe1yWSSuRDCXBbOvDVr1tDY2Cg1QIGrqr1/VRLXEBBSfHy8HH9nZ6fMbRAJVqJev1oKRPhdxP8i8/lrX/sapaWlslAaTDAab29vyQhCQ0PJz89n9uzZdHV1ydBe0bPbbrfzwAMPsGfPHhlGunHjRjo7O9m0aRN2+0SPANHzobCwkNLSUrKyspg+fboMFvizP/szgoODqaqq4vHHHwcmOqJFR0fj4+NDbm4u1dXVVFRUEBUVRU9PD5cuXWLevHmyIOK1a9fIycmhqKgIk8nEe++9xyOPPCIFXGdnJ97e3miaJiEYUcJCJMTNmDGDt99+m6SkJAmbbdy4Ebvdztq1a+X7Hx0d5Uc/+hGJiYlERUXx4IMPkpGRQU5ODr/5zW/42te+RktLC6tXr6a6upqmpiYCAgJYtWoVxcXFUlmaPn06f/mXf8mVK1c4ffo0ly9fJiEhgZ/85Cc8+OCDrFixgrVr10r/n7B8UlNTZUTU//k//4eHHnqIxYsXywglkccgSoIMDAzg6+tLV1cX/f39jI+Pk5eXJ9eOeP/x8fFUVVVht08kfkZGRrJkyRJqa2tlf27ht9q4caMsEy/WYVNTkyylAh870GNjY53Cne12O5s3b8ZoNDrxBuAWJSk8PByj8eMabmrEkVpvLT4+XkJcYi8cPnyYLVu2OKEXeohK7AtR80zAhq5gJ/V4wcOmQp6EQ5zBYKj96G8DEPnR/wYm+jmkuD/10yVN05wEg4rtwcfMRi3KpeJ0wuqYPn0669atY8+ePWRnZ8sXok9TV0nNktbjfuLlicWrJsYJBltZWYmmaRKyAGSugjo2TdOcfCD63AcV4oKJCInIyEj2799PRESExGbtdrtsnZiSkkJNTQ3Xr1/H399fJpkJ6wqQlVFFKKW6AYTGJTK11VBaNWu7qalJFhsUXfJUgVlXV0dzc7PcILW1tfT09PDSSy+Rk5MjNXiYsM5MJpPMpG1paWHRokXSChHvODIykrS0NAkHCp+P2OSiNLXYyDDhwxkYGKC0tJSFCxfy7rvv8vWvf52enh4Z3RQREcGFCxf48MMPZXkOHx8fWdJ7wYIFXLp0icjISOrr6/H29mbhwoUMDQ3xwgsvsHXrVtasWcPu3btxOBxkZ2fLaCeHw8G3v/1tCgoKsFqtspT5+Pg4nZ0TMSCdnZ0EBATQ1dXF6tWrWb9+PdXV1WRnZ1NcXExgYCAzZsygqKiIoqIiHnjgASIjI5k2bRobN27E4XDQ3NzM6dOnycjIkEl4Fy9e5MSJE8TGxspOdKKN6JtvvklaWhrd3d1ER0fzwQcfcOTIEUZGRsjKyqKzs5MHHniAgIAAFi5cSH9/PyaTibi4OLq7uxkaGmJkZIRz587h6+vL+fPnuXr1Kn/yJ38i81oCAgKAid7d06dPx2azsW7dOi5dusTcuXPZtWsXixYtYnh4mP7+foaGhjCZTE5KQWpqKpqmScszJSVF9rtuamqS79lkMkk4KDk5WVrLRuNEpNL4+LiMtCorK5NhsHV1dTJfyRVCoO57EXYr9rnwhYg1KPwagFNPFCEg9HzGHSoRHx/P4cOH5Xj1fVzUMenLb3z0t1v0yBOsFA/80Uc/ecr/eR/9/tzQ6OioU4SQvqqigC3UsDU97CSiaaKionj22WelNi0iEQTT0ZuIasSSWnhPkFh4Xl5e5OXlYbc7Nyv38vKSobF6Bi/GXVtb61TVUWXKejNVHKMW+zIYDFIYwEQOhsD1RfRLREQEp0+f5qc//amMkDIaJ3rqpqSkcPHiRYndi7LbRuNECLDQzFUYbGxsjAMHDlBVVcW8efNksUFRVkFguna7XbYaFRViU1JSuHr1Kn/+53/OlStXyM3NxWic6KVQWFjIa6+9Rnt7Ozt37uTs2bPU19dz/fp1aa1UVlbK5xetT4UQt9kmen1cuHBBPo+o2CpCKZ955hny8vJ4+umnKSoq4oMPPiA4OJi4uDiam5uJjo4mKiqK1tZWqqqqiIyMpKqqirKyMvr6+hgYGODcuXO0t7ezaNEi0tLSuHHjBn/xF3+BxWLh+PHj+Pn5MXfuXCwWC3V1dTz44INERETIPIwvf/nLvPnmm7INaUREBDExMTJU1WAwkJCQQENDA/n5+bz99tv09/dz8uRJsrKynJoHhYeHyzXv7e3NF77wBdk8SZQB2bhxI+Hh4dTW1tLZ2Ul0dLT0e+Xk5EjoLTQ0lO7ubtasWcP7779Pe3s7V69epaenh7KyMlJSUqSjOCYmhsbGRhITE3nggQdobW1lZGQEq9UqM60jIyMZHx/n3LlztLa2EhQUxLFjxwgMDKS7u1sqE1lZWaxevZr+/n7WrVsnaz4JCyI3N1eGos+dO5dXX32Vo0ePylLsGRkZJCUlceTIEbnmNE2jrq5OWtXCWhehwMJCUSulCjhWrHM9P1CDTgQJHlFVVcWBAwewWCzSqhJ7V93DS5cudeJfniAgEV4uxqfeVyUVTVGVTmCau2t7shy8gYc1TTujfmgwGJYDlz2c95mQiqmLDEd1ImACbxQSXS+FBTMRmGVTU5PEm8ULdzgcTo3B1WsLvB+cY5SFFQAfZ2SqDTtcSXn4eEE1NzczMjIixyYgMJEzoZag0EcgGY1GnnjiCanlixIUojCZsIbUxf/www87LUyYWIDbtm0DkEl+amKRGKOoSrpw4UJSU1Oprq6WWu/atWtlaeykpCRaWlpYvHixHK/opKa+y4GBASorK0lISGDFihWEhYWxaNEiFi9eTGdnJzt27JCa5Z49e1i8eDEGg0GW2xDvPDIyEoDQ0FBMJpMMYY2MjGTDhg10dHQwb948mWHd1dVFa2urDC1taWmRFk5JSQmBgYFs2LCBtrY2xsfHqauro6GhgdjYWObMmcNbb73Fww8/TG5uLiaTiSVLljAyMkJdXZ2M2Ll8+TJPPfUUJpOJAwcOkJeXJ3NJtm/fzqlTp2Q47/j4OG1tbRw7doyQkBCioqKkcB8fH+fBBx9k+vTpLFu2jG9+85u0tbUREBCAl5cXN2/eJCUlRQo+gP7+fllevKysDIfDQXR0NIGBgfzxH/+xzMZOS0sjKSkJm83Ga6+9xoIFC3jnnXf4whe+wIkTJ5g9ezbDw8M89thjxMfHc/ToUZkbVFlZyejoKIsXLwaQVlZAQADf/OY3Zbnz5uZmFi1aRHR0tIw2S0xMZNWqVdTV1XH9+nWOHj3K2rVr+dWvfsWsWbMwm81ERkbKvtnV1dW0t7eTm5tLS0sLHR0dbNiwgf/3//6ftBYEVLh+/XpgQhMX1qQ+AU1Y96KApK+vr6wmKxQOUVFBjVAUe1OtyiD8BDBRyn3t2rWyF7qwEtR6aGoBTsCpZpOaua3yDBV+8lRtWv/5Rz69Gy4PxrPlsBP4wMXnYx9997mh6dOnO0lffUkQFa5RhQZ8DC+pkyqaqojyu0bjREST6Cqnn2QRjSRgm4qKCkpLS51KWIhrqJnM6thU7UAIHbPZTFxcnKwCKj43mSaa84gwU0Am4djtdmkliWKEMNGYZXR0lLNnz1JQUAB87AQTEVY+Pj5OzmuRvCMsCeHArqys5NChQ8ydO1eayAaDgfz8fEJDQ+UzTZs2jUWLFsmidePj4+Tm5lJfX8/p06f5yU9+wokTJ7Barbzxxhu8+OKLHD9+HLt9oiNXTk4OP/rRj2TCodCShTZ19epVYmNj6evrk9YeIBMV7XY75eXlzJ8/n/3798sEtGPHjsmGNUajkXnz5vHaa685RT0JjXP58uVyzoOCghgeHiYzM5O2tja8vLxkBrBwZp86dUqGxu7Zs4fdu3dTXl6OxWJh/fr1LFiwgGnTprFs2TKuXr0q33tNTQ2HDh2ipqaGU6dOERQUhK+vLzDBzMPDwwkPDyckJARvb2+uXbvG/v378fb25o//+I954IEHpPUsniMqKor6+nqqqqqYP38+UVFRREVF8fDDD2OxWPD39yczM5OoqCj8/f2ZO3cu5eXl3Lx5k8uXL1NVVcWePXs4dOgQM2fOxNvbm/r6em7evMnq1atpaWlh5syZZGRkcO3aNXJzcykoKKC9vZ3e3l5aWlro7u6mu7ubtrY23n33XcrLy3nzzTcJCwvD29ub69evc+jQIQml2Ww2hoeHpTbf29vLnDlzMJvN/P73v8fhcGCz2fDx8WF0dFS2IV2xYgXHjh1jbGyMOXPm0N/fzxe+8AUJhdbU1DA8PCxL16hJb2LvC6tS0NjYmCzfUVBQILPzRVh3XV2d7Fttt9ulL0GsKxW1EFZ6UVGRkx9QCAbVjwHIvaxGUgrLRkQa6klvYahKqqsgmo/2v9tOcJ5qK9Vrmpbk5jtZlO/zQKmpqdqvfvUrp+qorqSn/nMVh1MZolosy9N19Azd0+fV1dWEhobKipEiOU5cT81fEOepBf/Usaj1WQBp1QisVEA8KSkpUrMRtaBULUMvINUFJ+ZRLd8hLA9V2xIVKePj4ykvL8fX15fk5GTZFzozM5OzZ88yNjZGZ2cnSUlJsm+wGkd/4sQJ2WO4rq6OkZERDAYDFy9eZPbs2RgMBjo7O8nLy6OgoIDt27cDE/2cRWE2UX9Hdc6pvbFFRJTVaqWsrEyWnI6MjCQxMRGTySSjkXbu3Mlzzz3nNEevvPIKiYmJWCwWrl69yvbt2xkYGAAm/F5paWkcO3aM0tJSvLy82LFjByaTCbPZzOnTp4mOjqahoYGSkhIeeeQRYmJiKC4uZsaMGTz66KO0t7fz5ptvSvy4t7eXiIgIGR0WEBDAa6+9RlZWFt7e3rKR0rVr10hLS6Onp4e2tjZaWlpYsGABa9eu5dVXXyUiIoLHH39chnI7HA6Sk5OJjo7m2LFjzJs3j4yMDI4dO0Z6err0XVgsFq5du8bs2bNlHsff/d3f8c1vflPmoNhsNhITE2loaJD5BqKg4T/8wz/Q39/P7Nmz+cUvfoHVamXLli04HA6ZNBgYGEhQUBDl5eUcP36cP/qjP8Lb21t+fvnyBEiRlJQkO/+J3JTq6mreeecdcnJymD17NhEREdTV1UloZWBggJkzZ5KVlYXNNtEzGSb8USLSTWj7ZWVltLe3ExYWhr+/PyEhIRw7dkzWTxscHJSlQwCp+ZeVlQHIsjMC8xd7SkRyCehHCAY9LxFh5SIyrqyszEmZFccKPyXgxEMET9DXihKhvV5eXkRGRt5SF81T4T1PsJJbLAoP9Tg+CxKhrHrGDLdq5Cqp8JJ4SSKyRi8YVMYvCnSJHg3iZajOWnGOWAxqlzSxwNRrqxq/aGOo1lQSQkyFuMQ9xWIU4a+qiSwY8MaNGykvL5eZ0KKGvLiGCON1OBxcunRJmtaigY+wVkST9tTUVCksrl+/jtFolI5AESEi5kJs1sTERFJTUykpKaG1tVVWUN2xY4ecE1G8raenh9jYWHJzczl8eKJ9iHCsnz9/nry8PC5dukRHRwfr1q2juLiYsLAwMjMzZUG5iooK2tvb5bOIjnLCIdnU1MSf//mfU1tbi7e3Nz4+PnJOnnnmGZnsNmfOHKKjo5k5cyZms5mhoSESEhJkLoT67AMDA6xYsYLFixfT0tJCcXExTz75JGVlZbz55pts3rxZWjkFBQWkp6dTUlKCzWZjYGCAuXPnkpGRwZEjR2QkVE9Pj3Q8j46OYrFYWLZsGadOnSIqKoqgoCBOnDhBZWUlkZGR+Pn5kZeXx5UrV2TLUeE7aGpqoqurS/Znttls3LhxA19fX8nsxNzGxsby3e9+l7/8y7/kwIEDJCUlsXjxYtkJ7vjx4yQmJsp+08PDw/j6+vKP//iPcu0UFxfLMOjo6GgWLFhAQUEBN27coL+/n/j4eF577TU0TeO5557jzJkzxMbGcvnyZX7961/zve99j4aGBvbt24eXlxd/+qd/SlFREQ0NDRJSE420jEYj06dPJyUlRead9PX1SZ+bmvQmYFsV8hFWht0+0ctaRHoJyFjTNLZu3YrRaJSJqt3d3bJmE0zAy3a7XRbWFFn+gtSgDXXv7du3D4fDwdatW2lqapJRh66goNjYWBmgAM7KogpNiWfz8vKSpUtEcq/gY3hoE+rJcvgNUKRp2uu6z/8HE7WW/n/uLno3ZDAYfsBEXadrH330oqZpRz2dI0p2C+YKOBX7Un0F4L4uiRqdpJfuqoWhRijBx7i//hzR7EdoDVarVb4YsQgFsx8bG5N1fdTYenUxwceVW8UCVa916tQp2tvbiY+PlxmqFy9eZMuWLVitVnbt2sXSpUvJzs6WURyCIVZUVFBdXU1iYiLJycmSuQqsU9M0Gdq5d+9etm/fTlNTk4RkRDIe4HReXFyc9DWIzbd//35mz54tax9duXKF69evOyUnxsTEEBwcLIVeUFAQ77//PgsWLKCoqIiZM2cyY8YMLl68yPLly2UUSE9PD8899xx/8id/QnZ2NvCxFSS0PJHF/Mtf/pKgoCApgEU2uihDUVNTI0NmRWXdFStWyMSuoKAgFixYQHd3N6mpqVRWVuJwOPD29pYtPa1WK42NjZw+fZqvf/3rhIaGUlJSgr+/P/39/fT19XHjxg3pX4iNjZXrbXR0lEOHDvHVr34VPz8/qqurMRgMrFu3jjfffJPp06czbdo0oqOjgQn/Snd3N+vWrZPwnqiO+95773H48GGSkpKIiYlhfHyc/fv3yxyMxYsX09TUREJCAn5+frIK7oEDBwgPDyclJUX2VvD19ZWZ6SaTiYMHD5Kbm8uRI0cYGBiQIbf+/v4MDQ2xaNEi+V4PHTokLTWAhoYG2ft88eLFMrO9paWFuXPnYjabeeONN4CJhL+NGzdKxu9wOAgPD6ewsBCHw0FSUpIMIS0qKiInJ4eGhgaWLFkiE9cEHxAaveiWaLVaqa2tpbm5mbCwMEZHR/H396e9vZ1t27a55BnCVyQUDoE8iOvX19dLK1DlK/oWAEIxFEqVei/9fdWKr4KXqGiH+p3KN4QVoy877sly8ORzeA540mAwFBsMhlc++jnJRNb0n3s4717Q/9E0beFHPx4FAyC1KQGniMzOiooKFixYQFZWloRgXCWZqFi++K3/Xg2DVcPKjEajTAzSWylZWVnS2SvwRSEQrFYrZ8+elZVKRZkDtW68fpGIcdTW1lJbW+sU7WA0TkRWbNu2jbS0NJqamjAaJwoCAhw7dowdO3bg7e0tIzQAqSmLqrACnrDb7TKyKCUlhXnz5vHDH/6Qnp4eWcMmPj6evr4+nn76aS5cuCAtFxEmWF1dzaFDh0hNTWXDhg10dnZSVVVFaGgogYGBxMbGcvXqVSIjI2VRu6SkJIaHhzly5AgWi4XGxkbmzp3LgQMHpHDKyclh3rx5/OxnP6OyspITJ05QV1eHzWaju7ubH//4x+Tk5FBXVydblJaVlTE+Ps7Jkyd5+eWXKS4uxsfHh9DQUM6fPy/9ETCBNQ8PD3P16lWJe3d2dsr3YbFYyM3NZXx83ClLvKOjg0WLJooHlJWVsX//fvLz8+np6eHJJ59kdHSU9957j4MHD+Lv74/FYuHGjRvcvHkTmFBozp07x7e//W0aGxsxGAxkZmZKZ+iHH35IQkIC/f39ZGZm8tRTT6FpGl1dXfT29srQ0V27dvHjH/+Y9vZ2mTT2/vvv89xzz/Hkk08SGBiIt7c3W7duJScnhxkzZhAWFiYtopSUFLy9vaWjuKGhgfj4eDRNkzWe1q5dK3tKi/Bn0dnu/PnzFBcXy+KLe/fuZd++fVy4cEE6vw8fPiy76AnB0NHR4dS9sK+vT2Yei5wREfQg5iQ4OJjIyEjmzZtHf38/L774Iq+88oosnClav2ZlZTnxgc7OToKCgmhubpbCRgRrjIyMcO3aNZKSkmQwg9i358+f5+zZswBSEInkTvg4d6i+vl4GRYh929jYKCOVRKkPsYeNRiPJyclOiZ9qBJOAfFUntt4fqlZpEDCVeg29YHDnuBbkqfDeFU3TlgI/BLo/+vmhpmlZn7dkuAcffJDCwkIiIiJYuXIlq1evZtu2bbJaKUjPPKGhobcU5wPnwnsqqdq96KssSDiv0tLSXDYQt9vt0qkNE5mMwoTcv38/drudyMhImbEpcgXEPYUzS3UswUSWakREhFNCixijCjUJC8BoNEo8X9ScEdqwcGSrdefVHJGKigpqa2sxm81897vfZWhoiO3bt3Ps2DGqqqoYGRnBbrdz8uRJ+vv7Zc38tLQ0tmzZIvM3RM8DAd/ExsZy7Ngxenp6OHDgAAcOHJCx8GfOnOHKlSscPnyY4OBgrly5wo4dO+jq6pKhvWazmb/+678mLS2N3t5e6Zw8evQoxcXFWK1WvLy8iI2NldFioryE8MVMmzaNqKgorl27RlxcHHv27MFiscjS1s888wyhoaGySqrAlRMSEmhpaeHcuXOkpqbKKBZRTdTX15fU1FS2bt1Keno669at4/3332fWrFkEBgbKkMzY2Fjmz58vW6iK95ucnCzPWbp0KT/60Y/w9/fn6tWrzJ49W0ZUGY1GZsyYQW5uLiEhIbK8tmiU8+///u9ER0dTXFzM0qVL+Zd/+RdZMbeqqor09HSWLVtGTEwMZWVlbN++neLiYsrLyyW0umXLFhYuXEhTUxO1tbWSwYlObRaLhYGBAaxWqxQISUlJLFu2jGvXrjFv3jyuXr2Kw+Fg0aJFJCUl0dbWhsPhICYmhrVr1+Lv709dXZ20Vmpra2V4M8Dg4CAmk4mVK1fKcNqjR49Kx7W3tzddXV1cuXKF9evXs27dOpmgmZeX55QRLbKDIyIiCAgIkOHJohzHhQsXOH36tIw0E9bXvn37qKysJD4+Xr4nHx8fmdSq7mGj0Si7CAIy4TEhIUFGTAUHB0tFVITCi4oJgo+IfWixWDh06JDkBepxKjwlSAgi9W9VcVV5iyfyBCuZXX7xEWmaZvX0/Z3SR7DSE8B1oAJ4XtO0910c9yfAnwCEhoamXbhw4ZYmOYLUiRGwjCpF3ZEKJ4n/XTUIEhaLGp8sIh/UFp0C3hJlvOHjZiKdnZ2kpKRQVlaGj4+P9COINpriGqID2rRp06S5KyAxAeOoTmgBaQnTdf/+/bJwWWxsLIWFhU69IkTPXdURLgTP4OAgPT09EhYQXdLa29vJzMykoqKCvLw86uvr8fLyks8bFxfHzp07WblypTTxs7KyZGmOoKAg/P39iYmJoauri7lz58oKnJmZmbKTl4ABysrKMBgM+Pn5yTpQMJHoJLq0iW5qx44dY9asWRK3P3z4MMuWLWPfvn1s27aNmpoa1q5dK7vPqcl1WVlZWCwWOjs7MRgMzJ07l5KSEtatWwdMRICFh4dTVFTE1q1bgY8DEKqqqqT/47e//S0RERGcP3+eLVu28Oabb2I2m/nqV79KX1+fdHb29PTIFp0BAQFERETg4+Mjo8JefvlljMaJsN+hoSHZx0A4WrOzs3nzzTdZsmQJ2dnZ9Pb28vLLL7NlyxZCQ0P5n//zf/Lyyy/T1NQkK80ODw+zaNEiOV51/DCR8W2z2aQDemBgQDpun376aQ4cOMD27dsJDQ3lxIkTDA8PExgYiKZpsomN3T5R32rJkiWS2Q4MDEi/z9e//nWuXbsmI5TGx8dJTEzk2LFjrF27Fphwzl+/fl2Gog8MDNDb2ythMlFqxMfHh7S0NAnL6mFiq9Uqe0kLx7TqJ7Narbz66qs8//zz9PT0yDBVAfGKAnsiU1rARGqgh3hmAUGLPCeRDCsqAwg+IToNigRQUSJfNPNqa2sjLy9PwqylpaXS2te35j106JBTqLw+UEblT42NjXfcJrSLiXKuBpzLuooM6Qj3bNUzGQyG40Cwi6++B5Qx0UdCA34EzNY07SlP1xOd4PRNMcDZn6Bq5a4iBgSpoWZw6wSLz9WucWoMsupH8PLykiWD1fuI38KktdvtslOXwEHF9wLTNZlMTlFH6gITC1csFrHBk5KS5KI6f/48g4OD5OTkyIqZ4tyKigpGRkZoaWmRuRHqHAqMVlRHnTZtmvQhiKSzpKQkzGYzZ8+elRFLwhcjNHLRV0LMm81mo7OzU0aHhIeHy5yHw4cPy6gkIfAA9u7dy/j4OI8//jhXrlzB4XCgaRoREREcPXpUhkkK34Laj3jOnDmyuUxKSgoREREsXrxYYuGi37EIhX355ZdZunQp4+PjVFVV8aUvfYlz587h5eXF7NmzOX/+PAsXLsTf35/6+np8fHwICgqSFVHfffddrFYrP/jBD7h48SJ+fn48/PDDHDp0SGqddvtEWG5ISAhG40TP7ZiYGBYvXsyBAweIiIigp6eHdevWYTKZqP//t/ft8VFV1/7frWSAMAKGh+EVIOGRACGQBHnIWwqISpFSfl7rtWq9tbXF2mtbq97W2l770GK1VCyVVkvRcpEixUgjzxACCSQBEl4JJAHCIxGSFMhAyCSwf39M1mbNzj5nzkwCwTbr85lPMmfOfu+91trruX8/+vXrpzy2CwsLVQrOTp06oaKiAvv378fly5exc+dOvPDCC0oXd/nyZVy+fBkJCQkYOnQo1q1bh9tuuw1lZWVo164dHnroIRQUFKB3796KGSJ9S69evfDTn/4UAwcOxH/8x39gwIAByhqMdF4UJuXIkSOq/jFjxmDjxo1wu33Rd3ft2oWNGzeibdu2eOyxxxRT4XK5kJGRoZStkZGRKC8vx7BhwzBs2DDs378fdXV1GDlyJLZv3658QCi/NIW+6dKlCxISEvws6rilT11dHc6fP4/27dsrM3Gv16v8FiIjI5WFG+kTqa78/HyleKfIBosXL8ZTTz2lYjCR1RAZldC6UTwxnh9+48aN2LhxI6Kjo/HQQw8hPz9f+V/wPA76eeS4i+eo9ng8irHjuFDXm1LZtm3bBk8cbgYQQvQDkGJlUktAxAEwy9JIFEEHftWqVcoUjSuRSGmjpxvk3DngU9KZQkYA15xWuHs8LQ6ZfFrVy/Pg8jpTU1Oxc+dOlVFNJ2w8BDk9W758Obp164bs7Gz84Ac/UEo34npyc3MbOfEAPmLEzd1o7kghTbeFQYMGYd26dYiJiVF5fymNo8lZhxNV+rt69WpFDDjyX7lyJfr27Yvi4mLMmzdPERWXy4X09HRcunQJBw8eROfOnZVDHyG/srIyFfDtjTfewIgRI1BeXo4+ffrgxIkTGDRokAoXMnDgQJw8eVIZA3Tq1An9+/fHgQMHcPfddwMANm3ahJEjR6KwsBCdOnXC+++/jy5duuDRRx9VBJnEQhRwjyxdIiIisGLFCpV0hosC/vCHP6jQJPn5+fjv//5vZGRkqJzUCQkJSEpKwgcffIDIyEicPHkSQ4cORVJSEpYtWwbAZ7115swZjBs3DsuWLUOHDh1w4cIFzJ8/HxUVFejRowf279+v4jR16tQJ58+fh5QSJ0+exMiRI9GpUye89tpruP/++5VsPyMjA+vXr1eI+Rvf+Iaf7LuoqAilpaXo0aMHTpw4gSeeeMJP+V5SUoLCwkKl2N2/fz/uvPNOzJw5E1lZWcpCavjw4Rg/frzyVRBCKOszCtBHeRvCw8NVnog+ffrg73//O374wx/izJkzqKmpwd13361uxnS2c3Jy/ELl19TUICwsDP3798fKlSsVAab9Q3nDy8vL1Zmk2zgxOvw80z4nnYuJqayqqlJl8/LycMcdd+DMmTMKF1HyIDrX6enpyhSbzh6/SXBFsx4miJ81/aZghRuFEMGbsgoh+kkpj9n8LgD0klKetHonFBBC9JBSljV8fQDAfqdlTYOnZ0QE3W7/nA8Nbap3i4qKVPRWTn2JI6A8ByalNQC1gUxWTxTXJjY2tpG5GQClaCJZJy3+zJkzlcmk3i71Ozc3F2FhYUrmSRZLZKJIYycETKEqBg8erAJ/AVBiJrKE4JuXkDnFeaK6Tpw4oTg3AGrjE/J0uXw5NM6fP69MVqOjozF9+nQcPXpU6U7o3b59+2LChAkYOnQoiouLceHCBTXOY8eOYfLkyWjfvr0KHz5kyBClSP/973+P8vJyPPLIIxg1apTKfUz6B8AXJXTcuHHYvHkzxo8fr/RVgwcPxooVK3Dq1CmMHDlSHURKJXrp0iWMHz9ehWamNeTJ4gFf9NR169YhISEBgwcPVlwo+W/U19fjzJkzGDhwIB5//HGl9zl+/Dg8Hg/atWunTIHnzZunvMlJATx48GCEhYWpG9aJEyfwzDPPKJHD66+/jl69euHkyZOIjo7G2bNnMXToUAwaNAirV69WoTj69++Po0ePYv78+ejbty9eeOEFtGnTBp06dcL06dOVBU9aWhr+9re/4bPPPsOMGTOQmJiIqKgoZGVl4fLlyygtLcXSpUtx6tQpfOUrX8F9990HACr50fnz5zFz5kzk5ORg4sSJcLvdOHr0KOLj47Fv3z6V66F///6IiYnByZMnER4ejv79+yu/GRJHRUdHY/z48UhISFBJjSj6MAHdFCnuUm5urhprr169kJ2djWPHjqG+vl552vfv3x+rV69WNx8S51KQPgqbwX2geP4XLnLme8HtdqvoCxQHiURlBw8ebJS/+tixY8rCifCWy+VSpvAcdxGDqVs1mggDx1FOlNGAvVjpQ/gU1n8HkAufaWk7+PJJTwFwN4CXpJQbArYSBAgh/gJgBHxipWMAnmTEwgjJyclyx44dxmsTp66mSeNWAFTGRG05h24VjI+3RxyW/jvnKni9JG+lpCK0ybjoiG48dldM/j7JUslZht+gCBETAqc5IIRAorCtW7fi+PHjyuqJxEhjx471WwOPx4OdO3eiY8eOiImJQWpqKmbOnKkSn5D4KDY2Fh6PR4l/2rdvj3HjxqlIo6NHj0ZpaSnmzZunxFipqakYNmwYxo0bp/QUffv2xd13363m7+TJkzh37hx69OiBu+66S3GOpOQkE2GCiIgIJeqqrKxUHsKEUE+cOIGYmBisWbNGmWmeO3cODz74IBYvXqxuY1w8mJGRgdOnT6Nz587o0qWLQn719fU4fvw4OnfurG4ApCim6KmLFi3CnDlzcOnSJVy8eBGDBg3CkiVLMGHCBISFhSn9ClmaDR48GAcOHEBhYaGSu2/evFnN+YEDB/DAAw9gw4YNOHv2LJ566imcOXMGOTk5yoy0sLAQkZGRmDx5MkpLS+F2u3HmzBlcuHBBmTsPGzYMLpcLpaWl+OijjzBw4EDMmTMHRUVFeOGFF/Dyyy+jrq4O3bt3V+eBuH2yTiJHvRMnTiAvLw+9evVSaVCrqqrg9fp8JkiPQnuSRKgk+8/IyFA3lk6dOiExMVFx7HSrHDRoEA4cOIANGzage/fuePTRR7Fq1SrU19fjjjvuUPHPxo8fr8Rd06ZNQ1paGjp37gyXy4UzZ85g+vTpygmO9IF0SyScwLM80vkCfJKFgQMHKiLCccrGjRtx+vRp5Ruh3zRoLDreoj1G55uSctFZI7zATfJ13EPA67YTK1neHKSUXxZCDAHwFQCPA+gB4BKAQwDWAXhFSmkZlyNUkFL+ZyjlyMqGI3b9ma6TIMsh7lVrAppYkl+SeIBz/bQBCKnzkMB8YbKysvyis5JiicpwCyTeV7rxANcWl8slOSdL3NKhQ4cUd09j520RFwT4NjT1qaioCNHR0YiIiEBSUhLi4+P9Ql6TiSvftB988AHq6+sxd+5cJR+nXA5er8+piHQl5PPAD53b7Va+EuSzQmKX2NhYP7EZ6RSoD5WVlVi+fDkeffRRTJkyRelweAKn0aNHw+v1Ys2aNRgwYAASExOVEhrwxZR65ZVX8P3vf185ye3Zswd9+/ZFREQEZs6ciZ/+9KcKAZANO33/4IMPcPnyZcyZMwenTp1S8Z2EEAgPD8e0adOU8xf1/b777lPKysceewxpaWlo27YtwsPDkZKSomTq4eHhai+dP38eYWFhWLlypdpTRBimTp0Kl8tnWv3kk0/i4MGDOHPmDMaOHYvNmzer/UM3u127dmHnzp0ICwvDjBkz1D5btGiRMons2bMnNm/ejPr6eggh8PHHH2PYsGHYu3cvXn75ZcTFxSE9PR3nz59HXV2dCsx47733Ij09HWfPnsVdd92FgQMHwuPx4Ctf+QoqKiqUvmnlypUQQmDbtm249957/XRypIgnxWxpaalSulOyo2HDhqnYWCQOplvn6tWrlV6HAhhOmjQJR44cwcmTJ1UKWCIQZ86cUefD7XarTIgxMTHKoZIMLoip5no+On8PPvggAJ+lHwX0o5vGtGnT4PF4/BxoSSIBXGNSTYidR4UNCwtTuihSQHu911IQ68FHebZLwi8NVlThRqQHew9pSCkPwqck/twBIWtOGPQAW3Rd43kErMJpeL2+kN7R0dFISUlRnIG+Mbh8k98MpJRISEhA+/bt/cRS3O1dl2ly4kPPSW8B+BTidCjmzZun3idTQM65cKuGnJwcxMXFIT8/X+keiIi43W5Mnz4dixcvRteuXZU4hnIKkGiHrr4kLomOjlbXdLrqEwItKChAz549UVhYiKSkJDW/xPUtXLgQd911Fzp37ozk5GT0798fL7/8Mp5//nml/zh48CAiIyOxZMkSjB49WokM3G437r//fhV+2uVyKfNEWlOyGqNELlJKvwxr8fHxyuxx8+bNytlt8+bNiImJUYf3xz/+MaqqqvDMM88oBeO6deswbdo0lTsiLy8PXbt2VUSfIDc3F9HR0SgpKUHXrl3x7W9/G48++ih69Ojh50D50ksvIS4uDgMGDEBVVRUOHz6s1rW0tBQ7duzAl770JQDArFmzcPr0aeXFnpGRgS5duijlLnHZY8aMQWpqqpob4k7vuOMOTJ48GUeOHFHevgDQpUsXHDt2DJ06dcKyZcswYsQITJ8+HV6vF++8846y2EpLS0NZWRkOHjyIuro6tG/fHvPnz8esWbNw/PhxDBo0CDNmzMCUKVPUrZSMGT766CM899xzuO222/DnP/8ZL774Ii5duqQQal1dHQoLC5UyvHfv3qioqMClS5fw5JNPKsU8KewpWx1Z/Xi9XrRr1w7l5eVIS0tDr1690L59ewwdOhQJCQlYs2YNzp07h/3796OmpganTp1S54WLj+rr61FcXKwYFLfbrRxHaV8Sc8ZDctMcm3SPbrdbEQOSGOigSyMoCRTtFbJKJNE1t47k4cIJB+oOwF6vl55ZMvg3tULaKZBYiStmdSRPohsSl+hU2UoeR6Igkr1TljXSC3CxE3DNVJb7DVAd3KMZaJwLgsqTfoNb9pBya9++fcq1nnuDc0UVV7DTd9pU/DuJenjMeZozuu6TWSplQSOERyIrup0MGzYMe/bsUTJiui1wJ0DqL49bRcHWCLHTja6qqgonT55UCVHo0FKOCOKi+CHLz8/HxYsXVfgRuh2RopEirdJcl5eXKyRKB5v6RAiFMowBPhFbUlKS8uWIjY3F8uXLMX/+fJSUlKCyshJZWVl48skncebMGZw7dw4dOnRQyZySkpKwZcsW3HXXXVi6dCnGjBmj8hHTWpWWliIvLw91dXVYvXo1hgwZgtjYWISHh2Pbtm0YPHgw9u7di+rqaowcORLR0dHo2rUrwsPD8frrr+PHP/6xCujHA8ZRROL169fjzJkzePDBBxEXF4f3338fX/7yl/H++++jV69eePDBB1XOZPJSTktLU7fKTZs2AQDuvvtu5QW8d+9eXL58Ge3atUP//v1x9uxZxMTEKKLLz0lVVRXee+89pKSk4Nvf/jY6deqkGJTjx49jzpw5StxE5q87d+7EJ598gltvvRULFixAWloa+vXrh0GDBmHlypXo06ePSppETE52djb69OmjREMRERFKN9K5c2eF/Inpo3wcumUd7ceVK1ciLi5OWfjReSOmMzY2FitXrlQhMEi3eOjQIb89SoSHxLJ0FjkO0nERERr6TTfRpTNNCneSBpj0k1Qv4akuXbocklIOMb1ne3P4vAG3INBjJvGgdhTkjt8sCPSF4aIfWlh9w/Ny1K5OGEwyQB52QxdLETdBHpc8AB5tYvKx0PusR44lhRhtMooVQ/bTwDWvbwK32xeCmCMvUqSTcmz27NlqI1KojlmzZqmDRA5I5OyTlJSkosW6XC5ER0dj4cKFuOOOO5CQkIBJkyb56VZoXkj2TPGkDh065BdmgOy+6cZAHN6oUaOULmTlypV+ehyyZ+/bty+mTp2KZcuWobS0FJMnT1amkW63W3mwA0BaWhri4+MhpVTRcNu1a4fDhw8rjhUAjh07hkGDBiE/Px9du3bFvn37cPnyZXTr1g2rV69W4TUofwLfX0RgxowZg5/85CfIz8/Hrl27MHnyZIwZM0aFrrhy5QomT56MsrIy9O7dG4sXL8b06dOVtdu2bdvUzTI/P19xnRMmTFBRU8lZLyoqClOmTFEyfJfLpYLvRUVFKQJfWlqKuro6dOzYUTEOiYmJ6NevH44dO4Z+/fohLS0N06ZNg9vtVpF4pZQoLi5WeqJ58+ap9kePHq0IcFVVlfJEX7NmDS5fvowJEyYoa7E+ffogKioK9913HwoLC3H48GEAPgu1rl27KjFWfHw8hBAq5SjVnZaWpsK+nDhxAkOHDlU6JvJ9mD17tiIopFtzu93KwIN0ITQnLtc1pTE3yqCzSFIHkg7ExMSguLhYMZOUrTElJQW33XYbevfu7WceP3z4cHVekpOTG4XeINxDBIjApLPgOI45ytUakSn+RW4OFFvJdAswKal37NhhNEO1K8ffIzC9w4HL+vRQ3VzBrSug6PZACJ3kk+RxqV8niYsgRMY3DbVF3E9sbKy6PfG6SUlNNx4qx6O/cnM6U5wWmh/iBPltic81v21t27YNUkp06NDBz2nK5XKpuD7c8oTs0rlCPCcnB927d1f29rytzMxMVFRUYPv27XjqqaeQkZGhZLQbN27EsGHDlKNcWFiYSi9J4gByxiOFPI2d+3bs3r0bp0+fxvTp0/HBBx+gTZs2GDFihMpb0atXL+XX0LVrV2Vqu2jRIowfP15FCKU90bt3b2zcuBHdunVDWVkZOnfujGnTpqm6Dh48iN27d6Ndu3Y4ceIEfvSjHzW6tS1duhS7du3C/PnzkZGRgX79+mHevHk4efKkkqtTiIfY2Fi/CKalpaV4+umn8bWvfQ33338/Dh48CLfbjVdeeQVdu3bFs88+C7fbjf/93/9FYmIi8vLyMGHCBBXvinQU0dHRCA8PV7oZ0juR8vv06dMKsRKjU1FRgZkzZ6pbCZk5U27rxMRExdUTeDweZTjgdruVnsDtdqs8FsePH0fXrl3RuXNnFBQUoE+fPujWrRt69+6NkydP4vz580oHRToqfvOls1JfX+/nI0E3aW7ufeLECXUz4YwonaeYmBiUlJSoWzFZKL766qv4n//5H0RFRSlJR3JyMnJzc1Wq0hUrVvgRJl3Swc1pObOs4wPCLbfddpvlzcEuthIAQAgRZnjWNVC5GwnEZes3AeLEdeTNYyHRgaT4OFbl6F0iHAD8bif8PQ4JCQl+hIjeIW6R3NypLmob8CE9UmzTAlNcFsrxTBy/1+vFhQsXsHLlSqSnp/uNB/BtXvLNoHERd01ipdWrV6swDuQ3Ul9fr7KrRUVFoaCgQFlikTKWb9C8vDxFGN544w2Ul5erZOv0LrnzHzx4EBMmTMC0adNUmRUrVqggaXPnzsXEiRMxevRolREsKSlJERFah969e+Oll17C6tWrVf4J6tvFixcRFhaGyZMnIyoqSoUeJy/kyMhIzJ07VyFpkue+8cYbWLNmDVJSUjBu3DhlLECivcrKShQVFcHl8kUCnT59Og4fPowzZ86gX79+CAsLg9vtxsWLF1Xuh9mzZ6Nr164qn8aTTz6pku6kp6cD8MV1ioqKwsSJE3H27FmMHz8e+/fvx549e1BRUYGlS5eqtJp9+vRB27ZtAfjyTsTHx+ODDz7A8uXLUVtbqzLY9evXD3369EFqaioqKyuVOHHYsGGYN28eevbsib///e/Izc1Feno69u3bh/79+ytCHBkZic2bNys90NGjRwFcs/iaMGECxo8frwhD165dER0djTZt2ijjBdJlFRcXIyIiAps3b8a5c+eUfsHlcqF3797YuXMnSktLUVJSgkuXLqmcCfv370dqaiqWL1+OyspKeL3XAimSWfXevXuxc+dOVFZWYs2aNdi2bZvi5OfMmYNu3bphzJgxePTRR3HPPfcgNjYWmzdvRmxsLO6++27MnTtXheLYv38/7rvvPuzevRs7duxAQUGBuj106tRJ3XwPHjyouPq4uDisX79eiZ9cLl9EYoqg4HL5EgUVFxdj+PDhSk82YsQIREZG4qc//SnOnDkDwGc0QGe1rq5O5TGh5EUUZ0qPv0RhNujM03mm90g3wZioGliAnZ/DFAB/AdBWCLEHwNeZ38N6AIlWZW8m0AmD1+v1UygBMGZX0gmDvkFMtwyu+AWucRNc5ghcu3FwUY7eT57hjQgQ+WCQMo479q1evRq9evVSMluqkxM8IlLcsY1ntSO5MgDF0REizsnJQWFhoXqu59em8B0kbnG73Upx27dvXyXu4bJSTlxJt0KWHllZWTh//jxmzJiB3bt3K5NNAq6riYiIQHx8PMrLyxEeHo4//OEPykHu8OHDqK+vV+bFhLBJrg5AmUgOHjxYBbujw01hC86dO6fMaDt37ozc3FxlXeX1enH06FEkJiYq8RJxZqWlpejZs6dSEk6cOBGDBg3CqlWrcO7cOXTu3BlRUVHYtm0bunbtioyMDPTt2xfvvvsuEhIScOnSJTzxxBOIjIxEXl4eHnnkEWUNRf4LtC6xsbEqUFyPHj3Qq1cvvPfee4iJiVHip/T0dGzfvh2jRo3C7t27la5gzpw5mDRpErZv344tW7Zg0qRJaN++PbZt24acnBwl0wd8YUr69++vFMXjx4/Hzp078ec//xkDBw5ETU0NoqN9ARRKSkpUNsDLly9jyJAhKjR8eXk57rzzThUz68SJE/jKV76CtLQ0TJ8+XSXOWbduHXr27Ilp06bhwoULSpy0adMmFaZj0KBBeOONNxAREYExY8aotKFkbOJ2u9XepT1O1nS0B0mcRPoZACq3OenYKLkTAL89RGds4MCBflw9iV3p1k24h99uPR4P3njjDTz11FPK6MPlcilRNBl/APDL48GdaWmM3A+C6yVJp0aicSdgp3N4FcAMKeUBIcQ8ABuEEP8ppcyCTQzwlgCaUKAxkuVAyJsUnNy8y66cy+XCuHHjlAiI6w84p08bgBCvbn1EREG3QtKV58A1PQHXaXAFVHh4uApqB0DJYcm5jcdsHzFihF+2K+58w4kcv91wvQWNX59jjuQBKNEUJRehOojAcILA6/F6vX5Epby8HFlZWcjIyEBcXJyKrZSYmOjnlMhFVtxjedu2bSruPok2SHlJMXHOnz+vQo5v2rQJU6dORXx8PNasWYPExER07twZ58+fR0VFheKk9+3bh549ewLwceokYqqpqUF9fb1SVJO/CqWaJU6OPKdPnDiBrl27oqSkBI888ghcLhcuXLiAnJwcPPbYYzh16hS6dOmC8vJyZTU1depUxMTEKKJy9uxZjBo1CikpKcoXYsWKFRg8eDA+++wz/PnPf8awYcPwk5/8BC6XC4cPH0ZiYqLaB4cPH8aUKVOUKIUy3x09ehQVFRXo2LEj4uPjsXv3blRUVGD48OH42c9+hqSkJAwaNAh79+7F8ePHcebMGUyePBmjR49GRUUFOnXqhLq6OpSVlSEmJkYpy/v06YOsrCwMGTJE6XRcLpdyDCST2gsXLqBfv36IjIxUa0WIuVevXli8eDG6d++ugtjFx8cjMzMTQggVc6pfv35Yv369yjFNImed4aPvpJylKKudOnVCbGys0hVt2LAB+fn5mDp1qooNdvHiRZSUlKh6yFqLiAFx6CQhiIqKUuH06XfCGSNGjFB5Fjh+IeW6y+VSRIHnSTFJRfgZpt+2bduG48ePIzY21k/X2nCeLU1Z7Zzg8qSUCez7UACrAfwQwI+klDfNzSE2NlYuWbLEDyEBZm9B7uvAwXTD0GV5/FagWwKQyInL+wB/XwXeH50gcMStZ36j+k05JShoHxEjLtulZPXctI4OAuduAGf6E26Sy+O5ANesLngWOiJQdOuaM2eOivPE287MzERdXR0mTpyoFH69evVCjx494PV6lZ07N83Nzc1VTmbx8fEqyCDgOwyjR49W1iPkZbxnzx488cQTao6mT5+OAwcOIDU1FQsWLEBUVBR27NihnPJIIUhOe5cvX1aetuQfsWHDBng8HjzwwANKRLR7926V7e7OO+/EG2+8gXHjxmHIkCHYuHEj5syZo6KQUvykU6dOqT54vb5QFBTUzuPxqFwcZKxw9OhR5cxGweNWrlyJMWPGqPAuly9fxuzZs5UoEvAp70eMGIGTJ0/i8ccfV+v93nvvITY2FomJiUqfRBwqzeeuXbswfvx4pa+4dOmSqqu0tBS7du3CpEmT0KFDBwwaNAgA8D//8z/48Y9/rMyWaf3pnGRmZuL8+fN+gRLJuojEH8QBu1wunDt3Di6XL7nSxYsXkZiYiPfeew8DBgzAyZMnMX36dJw9exYVFRXo2rWr2iOkkOdcOd16KXFXTU2NyvlOZ2bTpk3IyMhAUlKSMt4gc9vBgwercVFAPcB366VwINQ+GX9QetEGvOUX+4zOIflRkTMd6deo75ypJdyl4yuOt7gOTccpbdu2LZBSxjUqCHvikAPgPh6eWwjRG0AKgBgp5W3Ggi0ASUlJkmKs6+IeUwAq03tcvKM/A3yLRmk+9dsG+SroJmqkRDZFgDVxMrQxdM9qvQwh/KqqKj/LCcC3cSsqKnDmzBml/IuKilJelAD80glyO22dqBLoBIb6wN/JyclRjnM8+BeVS09PV56hPDDYkCFDsG3bNpWhjlsHkbLU7XZjx44dfodt3759yvKDoswmJSWpg0kIHrimRKZ3Dh48qGL9U3gHihFEY6L2Bg8erJSdtI6kICTzSMqwRYrIiooKHD16FKWlpXjhhRewZ88eAL5kPOT9zT1tydQ2MjJS7T+Px4Nly5Zh8ODBGDlyJDIyMtChQwcUFxer/Be0FtRnEnuNGTMG58+fV7GUsrOzVWylnj17Yv369Thy5AhmzJiBrl27Yvjw4UpxO3LkSKSkpOD2229XyJViXVEyIvJQb9OmjbLgWbp0qfKHoNSt8+fPx5YtWxAeHo7CwkIVoZeCztE+IkJPe4WMIig6Lt3GuIUaMQhnz57FypUrMXv2bJw8eRJuty+kN0UPDg8PV/osAHj11VcxadIkTJgwQfWB+sHPP2+nqqoKR48e9UumA0ARTzLpnjNnDgoKCrB//34/8Y7L5VIxy7iebvfu3SgqKlJRkEn0SeeD94+YM1KA67ceMpnVJQCBJCpCCEsPaTuF9A8B3MEfNMRRmgzglzblbjjoIhjg2rVLl22TElN/D4DiVPgzen/IkCEoLS1VymGqj4uqSE7pcvnMRSlvgK6kpncA/8WjNvVbDb1DSIOUTm63W8k4uZJ75syZylN5wIAByovS5XIpszwSK1Fob6pbV3JVVVWpZCakPOdKZZqf6OhoLF68WAUaGzBggEpm4na7MW3aNDz44INKAUdOQwBw6tQpxaGT82BBQQHOnz+vHNWSk5NRV1eHQ4cOIT4+Ho8++qhSwrrdbmV/fuzYMWWNs3v3bhw6dAjl5eUoKipCUlIS3G43IiMjkZaWBq/Xi8TERNx11104deqU3zwTYSgoKMDly5eVnNvtdqvw4VVVVYiKisK0adMQGRmJUaNGYfDgwTh79izmzJmDqKgouN1u5Z19+vRpzJ49G6WlpUhKSsKkSZOQlJSExMREnDx5EtnZ2SgvL1fJiyIjI1WKzPLycgwdOhTz5s1DmzZtsGfPHixbtgzp6enIzMxUOQM8Ho9yTlu4cKEKNFdWVqbEUffddx9mzJihuGQSWxQWFmL//v2YPHkydu/erQjgnDlzlGivpKREhWyvr6/HL37xC6xZswaPPPII+vTpo3R6lEGvU6dOkFJi8ODBmD17NsLDw+Hx+CepIl0AjUFKidLSUqSkpCA+Ph7jxo1Ta0fnjtahW7dumDt3LiIjI5GcnIx58+Zh6tSpePTRRzFy5EglcqZUs5MmTVIpXVetWqXOcH5+vgoKuHz5cqSnp2PHjh3Izc3F0aNHlUf0kCFDUFBQgJ07d+LChQtK1DNnzhyUlpZi+PDhKvsh5YEoLy9HSkoKSktL1Rki3YgebYGfHRNzmJWVpfQIJGqmrHgej8fP+IPmWQe+z+EfcdsP7JL9bJRS5hmen5NSvmJVriXA6vajy7b5Ipjeq6ur80PWNPmEVIkT1gkNITtSPJPIx6o9AqqDuAlSTHEETQtMCT8A+MVXInk+R+Ber1chYQog6HK5kJmZqW4bWVlZyM7OhsvlU6J5vV689957WLlypULauhKc32Z0whsZGakU0EIIhfypP7r+hCLEcjPRN954Q8m+KS0l6VUI6cTFxalAa0QU6HcSFblcLpVn4o477kBqaqoaU1VVFTZv3oz77rsPY8eOVWaEU6dOhdfrMz2mCJ3FxcVITk5W4qq8vDzFzXbv3l2ZuXbu3FnNF9nzR0REqNtdbm4uysrKMGvWLL8kL4DvFrJv3z4MHz4ccXFxWLFiBTZv3oxu3bqhoqIC/fv3x9ChQzFz5kysXbsW+/btUxY+NJeUbKq4uBhDhw7FsGHDMH36dMyYMQO//e1vceTIEcycORPl5eUoKytDSkqKKk+QmJioRGVRUVF49tlnFadLRGP//v2IjY1FUlIS1q9fj6FDh6JHjx6or6/HwYMHERMTg5SUFLhcLrRv3x4ej0chfrICio6OVp7qxJUT504+HnfccQeWLl2K7t27qz1DjAYhwPLycqSmpqJ///7o06cPxowZo7zxc3NzFXEhZoOsfO6++26MHTvWLzc66abIQ5ysmoYPH46xY8ciKSkJycnJ6kzHxsaiuLgYYWFhSq9YXFyMIUOGKKQfHh6OYcOGoW/fvigpKUH37t2xfv16PzNVGlt6eroiUuTLQzcHTkSTk5OVgp3A7XYjOTlZ+WP069cPhw4dMjrYUhuEc/Y2IYf0SinlfCHEPpjzOQw3FmwBiI2NldwZzAqs5Ov0nJyp+M3A5H8AwI9b5/JpLrKhd+zk+Xq8J55nmtokj2sSUZnEXsRNmeJHUTgPyocL+BNMIk7cntrkuU3XXu71yeviojziBHl8KW5dlZmZiZ07d6psXKRv4ESE1oNClpD4LD093c/qg+aKvHcp1/HQoUNVAD2yER84cKBK6sN1QxTzitu10zpz2XdBQQEuXryoRBy8/b179yIiIkLFg/J4PEhNTVXBAEk3xOeOxFckjszMzESvXr1w+PBhFTSwU6dOAHzxnEiBTf4QlPEMuBaYjfrj8XhU7omJEyciNTUVx44dUxZKgwYNUpw9GQSQSI7vf7rBAL7sZ9HR0UrvkpaWhrq6Oqxbtw4/+tGPsHv3bixevBhf//rXUVFRofw93G63UhxfvHgRR48eRX19PT777DN85StfQUZGBgoKCnDLLbdg2rRpCAsLw8CBA1FVVdVI3JKVlaVyeVNUXo5oKyoqkJKSgu9973u4ePEiEhISGq0v39P0P4Vqeemll/Diiy+qMCEUMJIzhpSzxO12Izs7GxcuXFCm0DT3dO54EiUAylfB5fLlut62bRumTp2q9BQUMoSHvOB6Oq6zMd0uTGVorsiqksrb5ZC2Iw49pJRlQoi+pt+llMeNBVsAyAlOB112SGElAGudA/9Nr4MilhYVFamEPCQL9HqvhebQ69CRnl0/9ecEPCQG/UYIl9rWdQZcj8Ete3QxF9ePFBQU+DnncJGc1+tVjmkUypj0L5w4cWVjUlKS0sdQEh1KmFJcXKxkxTpB5tmtKHwyIQQyi6UcEEVFRYiKisL+/ftRVFSEadOmYePGjRgwYIDy6CVvaZfrmjLSlJ2P2ly+fDkANEouT85ZdKvh+qSioiK8++67Krxzx44dceXKFVy4cAE/+MEPFDEBoOTHtBa0l8ijOzU1FbfffjsuXLiAZ555Bi6XL9Uqyes3bdqkrJgolAVFwt2+fTvKynyBjGfPnq08uCnrHuWBJh2Cy+XycxzjiKW8vFzlPmjfvj1qamqQlpaGp556CqtWrcLu3bsxe/ZsHD16FLfddhseeeQRRaQWLlyIJ598EmlpaUoZSzcWKSV69eqlckPQbdjj8eDkyZPo3LkzVqxYgaeeegoRERHKcRW45mTJGRjaM1lZWX6MCIXFoLq5cpqvNw+R0b9/f0RFRaksgOfPn8epU6caZVWkfej1etWNm9aH9hp5WdMe8ng8SuTZpk0b1NTUYOTIkXC73X6KY45DrJhUO10qxz1ZWVnYsmULFixYoBT9dN7s8jn8S3hI82Q/BDrHTsiKLxR/18mtg5AdiVu4OSVgjs9E5QAY29b7wG8j+uJzZRNH/Dwst94XutVw5EvBBCn/A71HCEpH9LyPOoKlOik9IQ83zkN78/FR/0xt0v96TCnqz8KFCzF+/HgVrptCRGzevBmzZ88GAEUs6MCRXJ0zBzRmalP32aA2+fgp01lsbCwGDRqkLGtI/LJq1SqMHz8en332mRJnRUVFKQLFs+xR0qLS0lK0adMG8+fPx759+5SV06VLl/y8wo8fP67yXNA8btu2TeV1WLt2LaZOnYo9e/bgb3/7GxYsWIDz58+rNuLj45WllZRSKTYJIZKiecCAAZBSqjSaeXl5yM3NxYMPPogpU6bA6/Vlx3vmmWewcuVKREZGomPHjhgyZAhSUlLwyCOPqDlLT0/HmDFjVOpbTnzKy8uxZMkSPPbYY8qCKyIiAtnZ2bjjjjuUrwPtDzJDJqTKY6RxZocT3fz8fBVU78EHH4TX61VZ7srLyxsh26ysLBVCRGdS+Fmg80Pmq6NGjUJVVZWKu7Zz505kZGRgwYIFKnYZ1bFq1SpMnToV69atU9ZZ5F/Eb+UmJM/PPj8XNO66ujo/HMPHQKJmr9erLPICEQcnHtJzhRBHhBDnhRAXhBDVQogLgcrdSNAJHE2eLsohhbEOgQgD1UnZqXgiIJ2w0ILo3LkdEeZyQJ7ulERY9A73fuTjo3HRLYa8o6kP/H/A58NAclQ6XGvXrvWzvaY+8DrIY5vapoPucrlUgiA6cLm5uX7+J1TnihUrVEhuUtbT2KqqqpRnNnm9ezy+mFK0uRcsWKByEQM+j+ITJ06o9kk3VFpaCgB+Zok8qdOOHTuUIp7rk8h6atGiRdi2bRsyMzOVroasbUiBTHoHOqSzZ89GVFQURo0ahaioKDz66KMYP348evTooeT5fB1Onz6NefPmqdsJ/SalRHh4OMLDw5WX8qxZs1TwvR07dsDr9Sr/Bmrb7XajW7du+OEPf4i8vDyVSnT27NmIj4/HyZMnkZSUpCJ6kvyclL2UyY/CtA8dOhTJycm499570alTJxQUFMDlcuGee+6B2+1Gu3btlKNcXl4eLl++jN27d6ubNIlTJk6ciLi4OKxZs0bN5YkTJzB8+HBERkZizpw5SE1NhcfjwYULF7Bx40YVrnv58uVYv349+vb1CTCOHTumkk8RkaE6SSQM+MSBpLe677771B6ndLTch4DOUVhYmJ83M9cN7du3TynMExISEB8fj4kTJyoLodLSUqUPCw8Px5NPPqmU5LRXSbdVUlKCvn37wu12K8KQnZ2N3bt3q1hMOn7gZ9Hl8oXVX716tWI8hw8fjjZt2jQ66zQGfsN1gu8ABzcHIUQRgPullIdsX2xB0NOEWsn4de7cyY2Bg4mT1nUTpnpNckAd6B2i6hyp6voIXoZzNxzBcJFTfX29ktHr9t08uiTn3E0yTf32QuXI6Y/HdcrOzkZMTIySc9L4OQHiNy9qXxf9eb1ev3FnZmbiyJEjmDt3Lnbv3q08ZLluhIgqOSFRLl9CoPwdXadCbZApKDmCkbxaX0Pygo6KilJiE0qVSo5UlNuB6iQxHHBNd5WTk4NLly5h0KBBirun8uSoFh8fj1WrVqFr164oLy/Hgw8+qMKiUyBFChNCehky9yWx3vDhw9Vc8Fsb7RVSvFLIjPHjx2PJkiUqnpJ+Y6R9uW/fPhw4cEDl/KacGvX19RgzZowSpdTV1eH48eOYNm0aFi9ejC984QsqxSfpk7iX+cqVK/HJJ59g3rx5mDFjBqqqqpSDm9frC9FCxJ9EUDwmF93ahBDo378/IiMjlb6AbpV6hFXONNGe5aKYzMxM5eBIZtbcr0fXy/Gb+IoVK9CrVy8AvnhPDz/8sPqNzLhJXMVF0bRONN8vvvginn/+eURFRfmJxqzEwiZc02SxkhBiu5TyLtuXWhh0sZIJAeviGi6zIzDJ7J0SDzukb5IdmtoCrl2LrRTbhND5eAD4JVOnMfLc0DQ+aodk1Dz6KQDFiRA3adV/OsyEaD0eX/CzmJgYTJo0yU9Uo+s5dFEAXdO5HTu1x5Oyc8UeiRq6deuGGTNm+OXToLFzJb5+LQeu5UPW9wDVT2V4f7dt24bNmzdjwoQJ6NixI1wul+JGb7/9dpw9exazZs1CYWEhhBDKjp0Tb5KR6wYFmZmZKuuey+VSCMnj8cVC6t27N/bu3YvDhw/jxIkTSE5OxsWLF9XNo7y8HEuXLlVWYxwpmYg8zQsP1ULzQnNXVVWFjz76CN/85jf9+k8Ikde/bds2DB06VKUABa7lAz916pTfuIYPH45ly5apLHY8817Xrl3RrVs35WPRuXNndO3aFWFhYairq1P5sQEoAwrK20DiI8CXgAnwWfeRPooMMjIzM3HgwAG0adNGedfzvUFiUYokTE6adOZIVBYXF4cPPvgAgwcPVmeGzhD55JDzpc6YZmZmYtKkSX7z7nK5sHXrViURIBGTx+NRjoqke+O55rmDqo4PdFzEcUmXLl2CFys1iJPmAsgRQvyfEOI/6FnD85sW9INAZlt0ELgIAUAjUQw39dKveCawIwx0xaZ+6YQhOzvbzx6ZuBMKiMeVUxQqm0xdidPJzc3FxYsXlbgmLy9PKWo5ECHJzs7G/v37/TJI8bESJ+nxeBoF8CPC8MYbb8Dj8SgusqSkRJk1AtdCgHPOODMzEzt27FD9oDHHxcWhrq5OBUPMzMzEpk2bkJubi0uXLql4QXl5eWouioqKMHHiRNU/mlda16KiIqVg57cigvT0dKxevdqP86K6qqqqkJWVhYULF+K9995T+4Ic7JKSktC+fXsMHz5cRfWcPn06evTogVmzZmHdunWor69HYmKi0iVQCAdyNiM5cHZ2tkpdmZSUpHxBACixW2lpKXr37o0lS5agrq4Ojz/+OBYsWIADBw5g2rRpak64OTExCPwvPwcLFy5EeXk58vPzVV4Lr9eLrVu3Yt++fTh79iyqqqrw0ksvoba2Vq1hTk4OysvLsX//fixbtgwff/yxqquwsBBvvPEGsrOzVSjyhx9+GKNHj1Zez263G+PGjUNERAQeeeQRDBs2DIsXL1bK32nTpiEnJwcXL16E2+3G/PnzVRiM+Ph4lJWVYdeuXejfv78SqblcLnz22Wfo168fvF6vMk9+6KGH8NBDDynzUjI6AIAOHTpg7ty5fnHSCHJycpCVlYV9+/bB4/GoWEv8tjdx4kRlLRcTE4P6+nqsXr0aHo9HJcgqKipC//79cerUKTX3xCTwWwGdTRIddejQAfHx8UbdAwF3qCNxminPDMdF3CyWcAnsaICNtdK7VoXgM2V93Ob3GwomhTRwDfkSB05XQlKSEmdGwDlEpzcHakO3JCLQf9PLUh+4KEdP1sP7w7lBzrV5vdfCa3OTUZJnXrhwwU8xp8ektyKCPKw4v1qXl5cjIiJCccCEPIk74xwLjZW4MQB+MWL4bcXl8ilri4qKlMKOmx/y21JeXh4uXLiAu+++W/2mzz+ZipLVFF31KRlMeXm5n+VS//79sWTJEixYsMCP26dQHBSOIiYmBlJKpKenY9y4cQgLC8PIkSMRERGBjRs3or6+Hh07dlQhl+vq6tCvXz+88sorePHFF3H48GFlxktZ6err61V4Dxovv70VFRUp5S2JYIQQiisnI4lt27apZ+RrsWbNGgBQil9SFpOI4pVXXsHhw4dVNFIS+VRWVqJLly7KAIBMQin0SHh4OHr16oVTp04pyycyNCDPZ0ppSmIYAhLvZGRkqLhEFOmV3uPxyi5cuIC//vWvGDp0KJ555hkAaGT0wG/M6enpjcxC+Tu6UQnn4AHfLTE83Bd6iHK72yXmovUiR1C6jW3atMm4R/nZ4gm5TMYofN9TGxQyhsrwHPO8bl00xc1tb7vttuBvDlLKx2w+Nw1hAOyd4DgH7vV6lQUIL8eRAPcotCIMOiLlaf4IuROxsqP+RPEBKK7B6/X6KU6pLs550AanTQRcC7/tdrv96vR4PEhISEB4eLhCFm63Lz9uQUFBoxsTnw+X61pYca/X65c3lxS+nGOfOHGiIgx8jmhzu1wuDB48GFJK5ObmqpuClNIva9iYMWPw8MMPIyoqSm1+Kl9VVaXMTEeNGqWQFnFF+jiSk5MV10eJkwCfUrG8vFxZNZGS/ujRoyr5DLV76NAhzJo1S3Gh8fHxGDlyJKZNm4ZnnnkGI0aMwObNm7FixQql+C4tLVW3KBKxnDlzBt///vdx5MgRbNy4UYUbmThxIubNm6fSWn7ve9/D0qVL/faJ1+tLz9qzZ0+l2B0zZgzat2+vcnMTkS4uLlbOgJs2bUJhYSHmzJmD+fPnq3WjIIbEYRPCaNOmDdxuN6KjozFw4ECcO3cOYWFhimAlJiaqNSGdzMmTJ7Fv3z6lZyBP+SNHjsDlcmH+/PmYP38+Dh06hMzMTKSnpyu5/M6dO9GmTRvU19cr5y1yZMvJyUFUVJQymZ46dSp+9atf4amnnlJn6siRI4pB4rdGEhnGx8f7+dpwXZt+s6X9QzdUCj5IDmZECOhsE2GhM84JA08T3KlTp0biY5frWvIsfubpLJPntH6rP3jwoDLnJi90qo9ExHRuc3NzkZmZqYiK1+tv1NKw5pZOcE6slaKFEB8LIc4KIc4IIf4uhOgfqNyNhEuXLllyvhzxHzx4UC0IgEbZk7jYx6o+vli0KblFAidIvG0qa9U/kj/rEVM5cbPzUOb9o+90dfR6verQU/+JiNAccEUjud8D/uIh/i5tXuJoOAHQ52hvQ+z5rVu3Ys2aNcrzlOqj/M70Pg8dQPJ5aoOHBad3uGUXFzFR/0k5Rxm/yDM8KipKeTlT38lSiEQoXq8XNTU1WLduHbKyspCVlYX+/furciUlJSgpKcGCBQswcuRIeDwedOzYEQ899BCGDRuGvLw8pTjv3r07/vnPf6Kurg7du3f3u/lRFNKoqCjMnz/fzySUxl5UVITx48djzpw56NChA7xen8K3sLBQietyc3NRX1+PAwcOKP1IRUWFitZL+4zMfQ8dOoTRo0ejqKgIw4YNw0MPPYTIyEjMmzcPp06dUsHh1q5di9LSUiU6Wbt2rSJu48aNw0MPPYRx48bB7faFJ4mIiFCe72TlROHuyVJq/vz5CAsLU45fhMTpBieEULGkyOjgxIkT2Ldvn0LQxOTQHPH9SjG6OCNFNwYdWXMGk7yUExIS1LvEmPHcKpyho9Ana9euxe23365CdHCcw0XVtJ50y+FMWFVVlbIepDXTbzx0hvh54zcE2st1dXV+Flg85lMDkWhvRHRwQBwAfABgJYAeAHoC+BDACgflbhiEh4cbRQr8f5pk4hj41VB/T6fWvD6Xy6XkxWR+qbfNkSTVZafD4Aidm8/x/uh903/ntwzSSbjd1+K787wNNH5OVKjdqqoqlaRHBypD3Bkh8+XLlytzQuobJ3YUGEwIobgdajsnJ0flxAZ8ijR+dfd4PBgwYIDi5ggRccsqHh5kxYoV6jn1r6CgAAMGDEBxcTHq6ur8AvtRmGZag+TkZEycOBHjxo1TBH7ixImYP38+hBDYv38/Dh8+rNJPEiGPiIjA4MGDsXjxYqUjSUlJQUxMjApFvXTpUvTp00eJOsh6paqqSqV/9Hq96Nr1Wi4teofmweVyKR3EqlWrUFdXh8GDB6O+vh67d++Gy+XC3Llz0b59e0yYMAELFixAZGQk4uLi/MI20HwQIiRCuXPnTkX0yPIqMjISM2fOxOHDh5WJKcWIor3JES43ZyZ9WFZWFlauXAmv16tCorhc18ywKcyGx+PB/v37sXbtWsTHxyMuLg6pqanqnI0aNQpjx45VyNTlcil9W3p6umJsXC5fWBEuOqI9zhkJ2q9cIU+Egpfh+5nqJ6SdmZmJmpoalJSUYPz48VixYgWio6NVOY5zuGUhxUXiRI2IxtSpU/3wAEVg5nVxU3raG1x/OW7cOEycOFERM05ASDcJ4HKjg94AToiDkFL+RUpZ3/BZDptgTS0BXAyjixd0xK//NZl6mZ5zJE+bkpy+OIfMbwm0SHpyGw468dB/I1ki5851pTaVGzVqlPIc5ptQr5eXJYJC/Y6IiMBTTz2F0tJS1aY+j/zaq3OEZD9OV1cae0JCAhITE9G+fXulOKe+kJUHAJUVDPBZVC1cuBA7d+70S1BCYoONGzdi+fLlKiPY2LFjlUUMKXrJOYj6IKVUB5JEWAD81pYTa5o7t9utgs+NGTNGWa4AvtDLeXl5cLl8lkskiurXr58SQ3Xp0gWTJk1Slmbt2rUDAPTr1w9btmzBypUrlXI8Ojpacegulws9e/ZUZrKECAoLC3H5su9cU3BCwGe9Q9FhAeDEiROKGO7du1eJKPPz8xEXF6d0MSUlJRg3bhxOnToFwGc33759e7VPCgoKVDt5eXl+yIwQHSXnIVPs48ePY/DgwRg7dqwKMsfT0NItmRIheTw+D+bBgwcrAuJ2uzFz5kzlB0F7jp+nDh06qCCJH3zwgbpF6WeOxEf0of1JfeF7kjNk/NxwCzPARwCLi4tVrgwyCjAl3MrJyVEZHE03FrodREVFYfPmzao/gE8KoM8Bjc3j8Xl3U2w1PaKr/r5+A7cCJ6asvwRwDr7bggTw/wC0BfBWw+CqLAvfIND9HPTrlQnsfrMCKmMyiyTllG46Rr9xW3+revW+c2UvIXkT0dLr1eszvcPfpU3J6ya5pilLHnGzPHMczUteXh4qKyuxY8cOjB07Fp07d1bWHoT4KHyzKZSJrsDnXqD8Pa/XF8qDkudQXbqJKL3PZctk4sf9J2iuyGaf56imOdTNfMvLy1X4agBK/6Gbj/IYU1VVVUhJScHkyZOVJ/XSpUuRkJCgEgmRDJpMdymOEnlkFxcXq7hLiYmJCokcPnzYLzhhXFycEmkRZ0t+CHo+cR5+g0wkudk330+kcNaVoLR2HMmRSIkMJHiICNqXpLgmWf2gQYMQERHhl62Q3uXGGHwv8H3u9Xr91pDOpo44SS/BCQRZ4+mhY6gOOoc8HL3H41HWQxQ3iZ8dep/6l5+fr0RpJvNzbnpNbRPTZQr/X1VVhQ8++MBPd8SNR0xA83bbbbdZ5nNwcnP4fwCeBLAFQBqAbwJ4HEAugMYmQi0MgZAhYO3F7LRukuHRM6LKJnt+4Bp3EqhNE5dCXBK/kurjMNXDI7uaxsv7b+KwyGFJ7xe/xtKYOMeVkJCALl264IknnlC26oDPRDc2NlaFq+ZiLt5vXYFP2bH099xun3cpeSTr3BEvw2WuhJg8Hl9SIS6GoLUlxSifM5fLpSJ05ufnq6ifhNCPHz+uRHGEHKkshZT3er1ITU3F5MmTcfLkSVy4cAFnzpzBU089hZ49eyIpKQlJSUno0KGDUhh7vV5ER0ejvLxc5eeIi4vDxIkTMWbMGGRkZOC73/0ufv3rX+PSpUtISEhAREQEYmJiVPTa+vp6lJaWYtCgQepWM2fOHIW8vF6fuezMmTP9kC7dELkJsdfrVVwqcC1CMAAVvyo3N1ft+fr6ehXOghTdK1euxNatW5Gbm4usrCxIKdXN7tKlS1i8eDE8Hg+Sk5P90vmuWLECpaWl6iZNHvVcjwRA5fvQb9pcHEN6k6ioKGV2y/UxXPRE+51uRkRoKOIueclz8Q5P90mhOVauXImdO3cq6znSJRLHz/UhnCGKiorC6tWr1T7Wz3FBQQH69Onjd4O0Yvp1vGUHAYmDlLK/zSc6UPkbDToiNCFjK3ESr8MOidPE8zaIE+EImThVssoxcf12hEp/lyvAdPkuiaAAKIUWIXCd+6N+mQgZ/X7s2LFGNuCcGJHyMSoqSvlekEdyQkICqqqqlDz+2LFjflya3bwHWgtdvEV918vyKzm3slq7dq2y6+/Xr59CIjSfycnJyuSShxzn83Tx4kXFxc+cORMTJkzArFmzsHjxYixdulTpB7jXMRG02bNn49SpU7hw4YIK3kecOo2J9C8DBgxATk4OUlJSEBUVhcjISD99j9frVbF9nn76aXTp0kXtw1WrViEmJgYTJ07E3XffjUcffVQFhSMDALJmycvLUx7ey5cvV2tJfhA1NTXweDzK8sXj8WDLli1Yvnw5PB6P8hPyeDz44IMPsG/fPqW72r9/v+oPBS3s27cv4uPjkZSUpLhnQlYUJLG4uFiJvyhcSN++fXHy5EkVQ2vt2rWIjY31M244ePAg4uPjVb5x2gc7duxQ60dc/8yZMxEREaFC9dO+pDPFdXgkiqQ1onWIj4/Hfffdp3yKaK15VkSXyxfCfM6cOSr5EDF8tCe5BZW+/0tLS3HfffepW57OtAwfPhzdunXzSwRkMq3X/ZYafr8EC/iXCrxnEqeYRDF2QIiTrrNWohjgWjhtPbMZv3pSP7i3MNWhi0BMHLqpXd4/+n7x4kXlXUuyf+7OrwcTI9tsXQzGRVkmERl/TldhUpRxkRC/+pODE/eX0OeXREq6Vzh/lzh7k+cnX4sBAwZg5cqVfma11A7lAeBZ8SjtKYUuoKB3FL1Tv97z8dF4kpOTlSMYH1OHDh38xuP1XvMHmTVrlsowRqkn4+PjsXPnTmzdulXlHvB6vX6e3F6vz1+ETGxJX0BrU15ejldffRX33HOPn0ULed1zhTCtI3lEk1cwZSnr1q0b2rdv72c5ROG7+/Xrh549e6p1Ba75LlD2PSKKhKSXL1+Onj174syZM5g7d64SsXBfBQodT17hhw8f9ktMxNeSE1adieBzxAPcZWdno6amRoVEoZsDxZzSRVA8eCNnsLjingJy7t69W4Wq4cEj+dnVRbVchGTCFWSsoPs9mHADF3nRM57Cl6IbU/l/i6isO3bssJTJ88Nqx7XqlBawF03RoeKHny+4HheJX1f5+xxpc0Ski3p07l7Xe9Azvtl27NiBoqIiv3DDhNysHG30KychbgpvzeX7PK0pzRevG7iWYY/nCeBzqx9qUzRaQsIXL16EEMJvg9M7hNhI9DF//nw/nQLvn76umZmZCAsLQ3R0tIquScif1tPj8eWe7tatG06cOAEAeOihh5TToZ4Dg4+HLLYo7j8RuoKCAhXSgZzlKMCfSb7M5de5ubkQQiAxMRFu97VQJjk5OaipqcHo0aP9ciMTUeD5v6kfXq8vX8Xu3bsVIvZ4PEqnQtFfSQyyb98+uFwudbukDxcxEujrpDNwOTk5SuRI/aeop4WFhRg2bJjSv1B9uhMY7VHuBOrx+MKfd+zY0S/ul74f9HWiZ7zeuLg4xWBlZmaq0N9z5sxR+4UcJckfxikSp+c87AY/UzpuMJ0hAq4nor80H3QD4uH9/y2Ig55dSQe7W4QVMibkpx9SvpBSSr/J1t/jyJ+u7keOHFFcDEc+pKzTN5beP05MdETOiRDnRkwyRhNx4kpAHckRmDgeeq4fJuoTR7SmudTjyOi3Ezoo5O1LiJ+vE3l9kw1/YWFho5zexLXpnvPUFy775dYgy5cvR2xsLGJjY1FSUqIU6xQ/hzh80zzTGCIjI1UQO45MeeA3nk8ZuHZL5N6zhNyjo6OxYsUKDBs2DBMnTlTt80Q0dFNJTEz0C6dObdNNy+VyKe91SoZE8+31elXoaeoTiTBycnKwf/9+JSaiWFgxMTFo3769EtUB/km2yFksJiYG+/fvV1w8KWPp9rBq1So89NBDqn+UE4S840ePHu2XV4WIe0JCgiK2RFhozaOjo1UKXa445rcN8q0gYqgTIp1B42dEZ9p0bp/fEPiZzszMVPiEnzWTcQMn8FbnWr+RUNC/u+++2xFxcKKQhhCilxBinBBiIn2clLvRYCc6crnM5qlWv7lc1+KPcPk1laMYOybCoFN1l8ulwkjHx8crwqDLDi9duuRnwmjVd6qPvDWpDpJfRkZGNpKVm/QavD5SqJNjnNU88WfUBulaaJ64tyspfvntRp8r7gBFiJTM/Ui5SW2XlJSgZ8+ejUIrR0REqMNLhPHIkSPqHe6YCFwz++Uerya7dBo3yXQjIiKUySIRBhoHd5zTYcSIESr9psvlUkpVPcd4XV2d8g72er1KKctNbLljJA/Xzj3Z9+3bp2T15HRGN46DBw8qh62oqCglL6eYQGQy6fX6rH5SUlIQHX1NvUj9oP1CYb/pXJBvBxFTfQ/TnqisrERKSgoSExMVYaB3uac23RovXbqklPtklkznBYDKGEgxlM6dO+e310eNGoXo6GiVZ+PQoUNK37C3wQdg7NixKlDitm3bFAHo1auX334AfCbENMfc5BmA0tGQWS2dD/rfdKYpXzY9ozL8nNP4af+acB4RG75n3G5fVATKKmjaozo4MWX9FXwWSwcBXGl4LKWUswPWfoPAKrYSYC1K0kU5VsC5WCflOJcPNDYB1eWQOsLlsmwnY9C5F+LI6BrNkQzgz9XoZa3Gy7ls3n86lKtWrcLMmTP9UjZyObZuVsj1IfSd2jTpDkhBTPUSh6snNiFiQroCGq9u+sjDgge6VQE+2fYPfvAD3HvvvbjjjjsUZ8ejyQLwu/nx+aRESHo0Xd3klRBgWFiYXywfXX7MTYD5rYwfePIZIAJG0UVJdJaamoqpU6eqdKmcw6S6aR4o/0JNTQ0SExNVffwmExMTo+qMiIhQNwgAGDZsWCORIp8HEnVRMiCql8SDc+bMQWFhIbxer+LmuTiK9vmlSz7dKkUtfeONNzBu3Dh06dLFL6YWFxFx4GeyvLwcixYtwrPPPgsAjW4OtE/p5sHNX/laUn9IfMdvgfq54+bhuuiN94/ATj9I71rdbqhsSGlC1QtCFAIYLqWstX2xBcEu8J5JlMQPpm7fz8vaiajskDc/yHwj0IbW48XzcrqyVidGduImepaeno7w8PBGtuVr165Vpoe6LoLmhW9QE9LgQf14mGyaT55Lm2TdXIFMCmFCllSGK9j5Idi0aRPCw8P9xE46AiMERTkLSH5NfSNbfN3XgQiJTqzpik8EzeW6FvSOUkGaDqoujiLgoj49TLxuXEDAb1H8fcpGqIedp75zpHXx4kXFkbrdbpVjIzIyUukNvF6f0pwQHInm6EZUV1fnl3q1b9++aNOmjVK0czFcREQEMjIy1B7j80PfaZ1obikwYkVFBbKystC3b1889NBDyjDA6/Wic+fOiI6OVkYNfL9y8RwPPU5iXCKc1D73c6E6+BxzcS3hCU6E+Fj4GHWmh86inh/CxJDRu/ra6u/piJ36r+fn4ERD3/scT7hc9vkcIKW0/QD4BwB3oPda8pOUlCStoLa21u97dXW1fOedd2R1dbWsra1t9Du9s3PnTsvf9frpXf15Wlqa3L59u99v9L9dOf196k91dbVfffSbXn779u1+z2ms/Bn/TvVVVlbKtLQ0WV1dLbds2eI3T9u3b1e/Ud/1+iorK2VGRoYaA72rz2tZWZlfedM46HlGRoasrKw0zhN/h9qqrKyU27dvl5WVlbZzROvD9wH1qbq6Wr799tuqLmpLHw9fK/qft0tlaG55HXx/6WthaoP6lpaW1qjd6upq+e6778rq6mpZWVnpNw7ag/QbvUe/0RxUV1fLjIwMuW7dOlldXS03bNggKysrZXV1tVy/fr3cvn27LCsr85szfZw7d+5U49TXkPpRVlbmt0f4s7KyMjUP1B/qG983ZWVlql79PJjmTZ9nmh9qn68ZrTnv45YtW9TZo+f6WvF55+ea7y/9N6s9rb9Hv+k4iZ7xOeV7ju87mi+9TgC50gKvOtE5XAKwVwixRAjxW/o4KHfDQNrcfnTu3+VyYeDAgQCuhUbgHA5xxNxxTdc5ANeCoZHskAPVN3bs2EYKI13Ob+qffjPg78oG5xoSj3CHPOoPt54iMQz5IPD+8Ssy+UYQlzlu3Di/Ky4PcwD4x4Ci28rq1av9YubraUa5ByhPs6q/y+eCgp/p80t29YB/VFzKuMYd2XTQ55z0MUOGDFF5FyjkhJRStcPFfcTpUS4GwMfVk4PY3r17UV5ejlWrVin5fnl5udHnhTi8qqoqv3AmXOTF19+kkyLTXC6KcrvdfnGI3G63ei8/P1853blcPsewmJgYdOzYUYlIKFbTpEmTlHxbNsRA0ueQ9DU6t0trmJSUhOHDhytlMdURGxurTGQ5h+92u/3ETKSzi4yMVPkfdLm7zhUD/j4LmZmZSvdC++3SpUsqcF92drayPuSxlqhfXB9H75MfBJ93fvPIz89Xuofc3Fyl/OdOqnyuqO+61RvfAzoOiYiI8AshxHV2XKelR49ukLaENzogDeBErPRV03Mp5Z9tC95AiIuLkxTbxgmYroRWZqMm0ROJX0jzT3XQglr5SZiudVZ9s/rOTdX4JuHiJ27CVldXpyw8uGket3TQ5eDUrj43RGxMpqvkJ+Byufyu7DyHgkmsEGg+TOsFwM/CiTvYAVAmrXaiQ6/X65eSlQjXBx98gPj4eAwePFghI7KR102BufUMPdu9e7eSMXNiWFVVpeLZtGnTxi++EDdv1i1T+B7yeDwqnwIR7h07dijibRJH6MiHENbZs2cxYcIEPwsm8lmhcR89elStE6XGJLEazYMuJtUt/Ph+Gz58uJ+YhcZDiZ7OnDmDadOmKTHS4sWLVfIivv6lpaXIyMhQsc1MVob8HHDdCEf6NMfcC5vmSd/3OmNFbfA1pHdIdMVzS3i91/RhcXFxfqIgvlZc8cx1anbnQv9fF5VZnTGv14u2bdvullImGRuwulLwDwAXgGENnzAnZQLU92UABwBcBZCs/fY8gCIAhQBmOKkvMTFR6hBIHOT0XZP4RUopy8rK5DvvvKOubXStNIlTqCy/FlqJlPSrnwlM107eP9OVVn/PSpRj6itv991331ViHn6Npus/iS242EB/x8kYTX1KS0vzu+7zuSSRAxdt6ePVxQEbNmzwE7lRG7SWVNeGDRsaiXeoTRI3rF+/XqalpcktW7YYxQ4kxiHRDI2F7xtePxd78TWnOaT6SSxitc66iGTDhg3y+PHj8rnnnlPjJ+Bimw0bNjQaC4mZ+D4g0Q+BLrqivpv2ZlpamvzNb34jjx8/LhctWiT//ve/q3K8PRIdkYiHRFG8Pg5clKeLePT5oDbeeecduW7dOjVmKzEn1cfFZ7q4iurXxdN8HuzEiJWVlXL9+vWW4ifeF120a/W/aX9IKSWAHGmFp61+kNeQ9WQAxwFsBZAO4CiAiYHKBagzDsBg+GI1JbPnQwDkwRfYrz+AYgC3BqqPdA66LC4UBKR/p83EEQaBLmekjW2nZzC1pR/2QO/zMlb9tiNAVJ7rFALNBT2zO/D8OSeU9NyJHsfqNyKcJv0BrQNHbtQmvUPryGXjixYtkp988omfbojWlyMf0zroSJCQtL4utC+2bNkiN2zY0EjPobfB99KGDRsUcdX1SDS3hKA5AtXnhyPCF154QVZWViq5PQGNh4jXokWL5PHjx/36xdvhRFXfZzoB0c8DjaesrEzpdnSGgs7c9u3b/RA2J95W4+VnUtdX8fngejXStwWqX2eC9Db5HuHrRHoX/TeaU16W5t+kn9L7wpkJq/GSvtB0fppKHHIBDGbfB8FGiRHMx0AcngfwPPv+KYCxgepJSkpqhAydUFQOdsiUc4p8U/B2+MbWOS47QkWHkiuOdOSu10GbyvSeiVsxjZE2odUtxDQ/dGArKyuNhMV0CHUFnv67jiBNijiaZ1N5QuycQBCSoz7q5Wle1q1b54esaS2OHDkif/SjHzVSrvL+cEJC9esHXUd4+q3Gaq05QqE69HIbNmyQb7/9diNiY7pZ8fr5rY/+15XJlZWV8pNPPpFvv/22XL9+vR8TZNrX+lryOTH1nSNKnbvnc8vbpLUmjtoOcfI9QwjftAf5LYXvC1pD07nTmR5elwn4XOvI2XRmeb/571Z4hJelc8lvnKZ2+JibShzynTwL5WMgDr8D8DD7/kcA8yzKfh2+qLA5UVFRfgtvhVjtCAD/a/eb1QHRF8JUh6lu3XqntrZWERfThufIRn9GV27O1enELBDitWt3w4YNctGiRXLDhg1KJGE3t7yfpue8v1aHnA4WR/T0XEeg+nj4POqIjBAUIQjOAPDbh1V/dEsZTmDoHZ275POr94H303SI+fgIUVpxiVwcxkUc/D0inmSJxJkTapvES3xP8Tp0oqRzxqY9pO83K85eF5lUVlbKLVu2NGJoTHtP37N8H/D9qM819Y0jcVOdpvHp/dXHQ3Out29VL59XfluzepevSaCbDxet2TH6ThD4nxqQ9OSGzzsA3nVQbiOA/YbPF9k7OnF4y0AcvhSoLbo5mCaMJsT0v5Sy0UTqh9DOpMy0UFZ9sHrOD4wJEerlrJCtFcdjkm3q/3MkrctkTRwNP9xOxFs6MeO/WV3F9fKmK7mUUokkTIfTJIbhc0TIXOe29PXX949pDuj2x5G63h99Trm4SZ9PnevmfSEEpq8jzQftIxqrjky52IYTNKtbsIlLJ2LAzU3tdElUhq9VZWWl3w1Nb4OvG82vbirM94hp73NEr/eRP9d1Sfq+t7rR0l+9jL5/0tLS5Ntvv+231k5whxXjYEdQdVGT1T6Usuk3h7YA/hvAagAfAfgugLaByjn5NJdYKTEx0RJh210T+aajjcOVnvSOPqFOkX6ga6AVQbPjEExXU86BWvWFy9x1AqDLPE2EVR87IRUr+2q+MYkAmYgaR3h2h8A0F9XV1QqxE1emH3henhTHOvdmpdCV0qzU1Ik3JwQcGdP/vD86B84NG3h/6F39dqLfDnX5Or8FcAJjEjPwOdD9D/gam/YUJ4C6+IcD3z9E4DnSNvlF6PuDyphukFysqBtDBLoR6PteXyfeB/186PPORcOm8XDiZRqrXsbuDJjOmQk/8fUxtVVbW9s04nA9PwbiMFRTSJc4VUjzCdG5JB0hmDa5lXiCiy907lefaJOox2rRrYiH/q7+u5WCjzhBvQ7+v+nQ60pUq/7qB2T9+vVy0aJFct26dX6I2orLttJv0G+LFi3yQx6mtTLNjW4xRAfeSjRgIlDUD50I6PUQkMiJ3uN7i/YJKXYJ8eviQ97m8ePH/YiJCWlR/VZMAPWVREl8zUz7lo+XM0acuybmydQXnSkwITNeniNjjtStGBr+jJ9lnfPWbwZ6Wf6eXpbPld6eXp7+WiFiqzNEv9nVZXpHf5/3z3RzMI3dignlv4ckVgKwsuHvPgD5+seqnJMPgAcAnARQC+AzAJ+y315ssFIqBHCPk/p0D2nTxFktCj0zHTr9IFshcnrfJI6x4xasNoDpXd6GSbZrknFbER86tEeOHJEvvPCC36Ex9U3nQGpra+W6deuUpQ8944p4aoesUazEIPQeF9XoFmJWm5sTJI5EdIRtp2fic8UVtO+8846yLtIJBvdG1g0Q+M2BW+HwZxyREmHgXL/JFFfn7vX11NdKX0P+u763+XzS/OtIjxMtfX75R2dQdGaBl9MJkdU66WJfvX4rBMjHrs8dnXndBN3EvPH5pPHb4QLeLu0l2t+muaUbka7HM9XH/7ciwlbEzdTHkG4OAHo0/O1r+liVa4mPKXyGzjXYTS5tFLv37JCU1f+EHHUEY6rbjvPQ27NabCukYALOzZrmw4Rc6XfazCZlot5Xq3APVua+/B39tqK/W1tb6+eDYIX47Lgq/g4Xt+nmlfwAEmHgIkl9XCZuWh8LNx8l4qpz0/S+lehCv7HZEUMuWjRxyyaumD7cl4Mrw3md/KZkWjO+XrxPdmtttX70l5glE8PEiSr3z+Ft62PUdZC07iS2XL9+vZ/uwHQe9TXg+4ifB13PoZsJ8/EH0n3qjJUd/uPQVJ3Dr5w8a8mP6eagi5ZMHHwgMZBeJ/8rpVmurbexYcMGP7t7rrjkC2ulOOL/2yFifexOiI3ppkTtWJmgcg44EJj6TDbXJicf0yHT+6Zzd8Rtccscu0NkGrveXx3p6cidzwEhdbpl6OPSiZY+VpNBhN4nfgsxzQ0pjflvJl0BjYH7dfD9os+b7j9B9epzzesnDl2/adJNkOz39f1hQtqm9TN95zcQfS31W5zpvOp16GvAzVBpDui7lbjZdD5N50qfA9O8m255+vzp4yawEisS2BEHJ7GVvmB4do+Dci0GehwSctun/KnkAu+bm2tldBd5vU5yzac69NzMPC4OgZQSKSkpKjTFvHnz/HLFUhwZPdaQ3hbFhvF6vSouC4/5xCOVmnIf6+MiF3tejs8ZjxLK5yUvL882zDnFdOGhAHg9w4cPx+DBg9GhQwe/cVIcJL4+egwZACokAcWPofzUx44daxSfRx+XHueJf9f3wfDhwzFq1Ci43W4VD4fCINC6U1TZmpoaFWa7Q4cOKswIX0O9H/Sc547Q+8jXc+3atX7ryOulLHRUhsJVU6Ie/i7FR+JpL2nvcaA9QKEuaC0KCgr88m/ocZYKCgpQX18P4FpcI8AX18fr9frln+Bxr/geo3NJe0HPe6B/d7vdxpSzFE+M3qe9y/ubk5ODHTt2ID8/X4XR0ENMuN1ulUfB5XIhIiJC7Q09T4g+HtOccuDRpPnZGz58uFpPHrNKPyc8PhNfY3qXIjLbhOEQlj9wBOn3gxDfBPAUgGj4dAAEtwHYLqV82KrSGw1OMsHxmDWmfAs8fk+gfA2mWCV8gfTYNvoz6k9WVpYKra3HNtL7RIiZ4ubr+RP4mEz9pwPDQxr3GzAY/7e7HHmnqtE27Ba0D7sV7Rr+um4BqirOIKpXJDq7w9Eu7Ba0ERKflZYgLjoK58+cwqSxyZBX6v3Cei9fvhwDBgzAmDFj1OHk48vJyUFRURHmzp3rF8eJ5yzgcW3s5oT/zvPs6nVQOVO9POaOKRw5hUSmsMf6Wi9fvlylhuQxdCinBk/5aBczi/YE5X7ggdz4/tUJCO8TjYtiJFE2N32fUjhyPo86Qeb7lgceNO1nvgaUw+PQoUMqSRHFbtLzXZhi/fD8HhRWnvaKab70UNS8Lv48JycHdXV1jeIV6YhV3yN6yHQ91lIwoO9vACq+lynuV0FBQaMQ8RS3ifqqpxbm3ymnRPv27RvFeSMIKU2oEKITgNsB/ALAD9lP1VLKqqBn5jqCXQ5poHHwPH1x9d/tgrWZvut5W02JfjjQAT106FCjdJem3BNUt9frVUlwiGvltxedUOl9pWB18SMS8dfsk1iy7SiqLtahR2cgPKwDLtddRU3dFVyuu4Kauiuw2Bp+0PaWq+jWsT26tZUYN7gHXNWnMaiLC3dP9E91yDcvPeMEnXNf9IwixXLEbAV8zKbx83o5oaRAgElJSSp4ICFm6qOewIevFUfaPAeECYE43UumgIEccdIe4AloeL/03MS8beImecpPnveD8jrs3r0bRUVFmDNnDtasWeNHAHUESsmeKE8H5UCgNgg4UbICPm5C8AUFBZDSP0mOTkhNZ1VPDWu1Bnw9+R7i+Vj43Oq4wYpY8LnXx0VrnJuba5wTun0SkeVBM03pdPW15edAHzeHJueQFkIkAJjQ8HWblDIvYKEbCPrNQeeUAt0E9KQ89NzE1eiHVY/+aOJ+TXXqHBjndPS+U3J6nvOYH3Y9Gqe+iVT99Vfxtz2n8PbWYyi/cBnjB3TFXbH/xDfHz1TvUN/j4uKQt/8gevftj4IjxYgeFIs6eQvO19ThyPEybM/ZC3eXSLTtGIFzNVeQd/osys4DUgJCAAO6uTEyqjMSo27HyKjbMaC7G1fq6xpx/fTdKluVVQ5vneu1uzmZ1tKEvOjGoEfyNHFdtF78wFOiJD2RDKV01RM48b1kxc2bGAVKYpOTk2PkOvma8wjB+vhon8TFxeHQoUOor69HfHw8Vq9ejV69eiEsLAwTJ05UxKJ9+/Z+4iTeL1PGPZ1x4hF67QgEZbfja8qJF9/7ppuDfhvi7ekMginRE+fSTUwLb8+OkaTbCt0eBwwYAAAK4VO4fasc9Kb6TXue98+Ey6zA6/XaZoJzopB+Gj7P5p82fPYBWBCo3I38cIW0SQEZSNHsVKFkZzVhqlf/bmfxRHbYuge0rngz1aMruPUxXbxUI3/+183yrl9ukn2fS5FzF2+XO4oqVPlfb/+1TDmQ0shxi9e3qWST3zjIwoasZSorK+XHhzbK36avl69/ekg++qedMuHlT2Xf51Jk3+dS5NAfp8qH3smUv1p3QL69Jl2WflZl6ejjxD7bzhhAV4aaLGH0ciZLHd1XwqTo1q2idAW0yTyU3uX/c5Ncu/1LTnO66bUVmPrDf9MV/Hwc/F3yTrazKtL7a5p7u3NAbXOzTF6nXVgL/p7dftINVaz2jdX49D2inxmqh/6SBRqF/+CWTqYxmubQbp7136xMYU31Nvg57JZNsFbKB9CBfe+AZoqt1FwfOz8HJ2C3wUybTJ9ku/qcEimyfOB28joyMSFN06Gn51euXJVr956Sk1/bLPs+lyLv+U2a/P3f0+Xly5fVe5tKNqk6yNZeRzyphal+dRMhqa2tlSkHUuSGDRvk6x+9LmtrfZYcb617S9bW1sqrV6/K/cc/k699uFU+v2qvnPVmuox+/hNFMCb+apN8ZsUe+c6WArnv5Dnprb8ScG5pLkxza7Kg4XOnOxDyOTc5EHLkYTIR1JFebW2tXzgME5HX11Ifk927fJ0CIRJTu1YE0Wo+6ffKykpjED7TfOv9DXQ+TN+tiJ5uHmzlB2P3Xf+f1lYnfKbytMd0ayrdzJn7G3ECwAmCEyIWyIrRitDazbu+/wEclBZ41Umyn30ARkkpLzd8bwcgW0oZH/DecoMgKSlJUgavUBRFJtDFBqYrnZX8kV+H7XJGm9oEzGIRu+uiXq+UEhsPncHC9YUoKK/GoDvceHpKDO5N6IW6ujoA5ms2Vxq7XC5Ud63GlH5TsHfvXvyz8z8RFhaGPWV78Oy4Z9X8LNu2DA+OfhDvbX0PD419CKmpqeg8sjPmJMyB1+vFkvVL8Njkx1S/z3lqsCY9F5623ZB/qhq7S/+JCo9v3O3CbsHwXp0xsm9nxPe4DWHnT2DK2CRb8R5/zpOsmHQ3/BoP+GTgdXV18Hq9OH36tJ9IiK+Hrsfg4hrSWwghEBsbq2T1Dz/8sNJZ8JzFulKRr4XV/rMTkeliG9Kf8FzeunhRF6mZxKN8/Dk5OTh79iw6d+7sp1PhbZDIU8/jbNIB6uN08h5/n4urTGJHfZ6s/qfvlDDJpCw3iXWAxmvGRWpOctRb9UXXG5pwkK54thKlW+lh+H4QQoSe7Ae+uEp5AH7S8NkL4JlA5W7kJzY21pYbC8RZmMCKI9frCMRpmCKDOmlb/25nq0xw+fJlufnAaTn7dxmy73MpctKrm+WaPSdl/ZWrjcZl16fa2lr5y62/VDcGPkYuXvrtx79VnNDrH70u31z7pqysrJSbSjbJ1MJUmVqYKt9c+6aqh5elz9WrV+WLqQvl2r2n5E/W7pdf/F2GHPDCtdvF2J9vlE+9nyuXbiuRucer5OW6elvO2TR//D2dC6Q4/ia/DbsrOnHU9L9+86PnJFbQ2+VOdybOkId2MI1P5zCpv9z+XrdxpzKmkBF246V6dD8PnTvWb1uBfEkIeDiSYMCqv/qtyG6/cxEa94fSQ5A4ObemPgQjitbfswuyqc+/3U2Ul9XrQlNjKwFIhE/38B0AI52UuZEfygSnT44eKZPeceLtbPpuet+uLlpgJ3LSQBDonYzCcjnj1VSFUFfsOq7ENKa6dEStt/HLrb+UO3fu9BMh6XWQWOHX238tUwtT/ZDMW+vekr/c+kv17Nfbfy03lWySr2x5RaYWpspvv/9t+a33v+XX9qaSTfLX238ta7z18g+ZG+SSLYfl9F//nxz7842KWAx44RM57ser5X8tTpWrc47Lks/OyaysrIDraeVEZOUkZCdmoPr0cCVWuiuTKIO3r4tnuAe6LkrhRMWEaKlOK0JCdTpJSMWBhzC3O09835sc03Tdmh6Z1TRnVmB6z7S2VmuvB+vToxNbiYAC9cn0v5TWMah4f/W5stLX6KI1vWwgj2r6jqaE7JY+4nA7gOENRCIRQKKTcjfqYwqfIaX0Cy6nc1A6WG0AJwRCf4/XpcdusVqkYDkTKnuo7Lz86p92yr7Ppcjkn62XS9OPyMt19Y43MhEB2mzE5VNAO3qP6ttUskkRlsrKSvnr7b9W7/x6+69ldXW1fHrF07K6ulq9S+9XV1fL6FeiFYHgc/DWurdUe/Q+b7v8fI38x74y+Y0PUuXc322Tg19cpwhG8s/Wy68vy5ZvpxXJrOIKebG2rtFB0rO28cOmEwB6PxBHa8UV2s23SUHLYyrx9KEmBEF/rZCzPlZ9L/L0nvoetCKEhMCtUnNaIWnTfND8c2Kgh7Wwy2ynz6XVuaN51eN96W3obfN5tIoSwOsJ1Cc+bitlfm1trQo9wn/nZUze23Y3G6v+6uWbdHMA8DMAJ+CLoLql4bM5ULkb+bGKrcQ5LdMmMZUx1eH00OsLzvvAbzKm94KB2tpaefjkWfnIWxtkvx+myPiXUuX3VqfKS7X16neda+MIl/dZR9JS+gjD9Ceny5+v+LnqHymZCdm/vOFl+f3F31fjeWvdWzLlQIp8a91bjWLrbCrZJH+59ZdSSik/2vuR6gvVlVqYKj/a+5F8esXTsra21k8MlVqYqtrmff/2X78jdx4+LX/6QZpc8EGunPTqZkUsop//RM56M10+/7e98m+5J2Th6SpZUVGh5sUqMxgHu4QpVM7pulkdaJ2B4JwqlbOKqGoVvoJ+50RCb980bl38ooOer0BvN9A5Mc0B769VWAs7BB0IYQciLvyMmuoOFIXZKTNJ79qFnLEi+PSxS6TkpC/6e/R/k24O8EVHdQV6ryU/pmQ/UjY2LQwFnG54q/c4N2YyOQ1kOqfDpZrL8tvvbJADnk+RA1/4RL7yyUH5z4u1jTh0fWPrxIHa098hxPxhzod+/eI6CCIGZWVlCqET4Ug5kCIf+OMDymqJENWba9+U1dXV8oE/PiB/ufWXSoRUXV0tf/vxb+Wba9+UKQdS5Ed7P1KEhoC3qz/j763K+4fcdKhcvpZaIB96J1MO/XHqNVPaH30iv/rHLPmbTw/JzQdPyws13kZzwf/aiRQIOQcSI+ncn/6OzkAEWh96pofX5jcEXo/p5mcHvL92iJf6YEqJyt/j5UzWf/w3q/EHuuWZ+tfU30x9wsZJsQAAOplJREFUdFqnHR6wYiDt+kD/B9I5Bppz0w2jtraJOgcAfwPQPdB7LfmhZD/6ATTJPZsL7LglnSOyQgz83UDcFz0/VHZe9n0uRca+mCJXpW613BRWh4ja/vX2X6t36fbAv/N3+a2A9Aj0js4NvbLlFZlyIEU+veJpWVlZKX/78W/lN5Z9Q77+0euyurra7+bwxJon5Bff+aJMOZAia2tr5Yc5H8p5r8+TZWVlyjRWSqmICJ8f6vPTK55W/+s3jPorV2VB2QX5lx3F8tn/2y2nLUxTxKLfD1PkF15Pk8+typPLd5TIVRu2y/MXLsidO/2jeNI6muZXn3t+S+W6ATumQEfc/B0rhMDLrVu3zi+vsgkJO8lFQv13qoDVCR8nFlZKbeqLnTjODjGbzhMvZyUdCHS29H7qa2XqswmcnmFerx4J1qpMIEIVqD1dTEbQ1JtDMoBT8GVlW0ufQOVu5CcpKSkgZb4eYLcRdYWRfuhNC2XHVfA6lm4rkX2fS5EP/WGHvFhb16gOXk6X3/PUjk9+/KSsrq5WSmdOJAjZckTBkXDKgRRZXV0t578xX+kXqqur5cRXJ6rbAhGg2lqf6OT1j16X4385Xj6++nHVn1c/fFXW1vr8Jea9Pk/+fMXP5Ud7P5Lxv4hXB/KXW3+piA2Ve2vdW6o//MYU6DCdu+SV6YfPyNc/PST/c2mmHP6Ta456w36cKh/8/Xb5zNINMmXXYbkjM8tyX5nWi9bbFHrZxBTo66oTDStRAkF1dbVctGiRMdKpSbdhmg9dzMUz0jk5O/p4ArWhh8Y37XMevto0ZiviYxUu3PTdaiwmZs4Uzt9uHpwC7REr4sP3FP8eLE6jdkxz2tSbw4EGS6UpACbRJ1C5G/khnYMTit0c4ISrMv3lvwciDCanKw7/l10q+//Q5+187pJPRJJamGpptkfObrrDT1pamjJBlfKalRJtKELCvG8kCqqtrZWPr35cIeeUAynqhvD0iqflrL/MUt7X33r/W4pAEFKvrq6W816f50dc6DdSWm8q2aQsbB744wONCB8v98V3vqjMa99a95Z8ecPLjW4TVDYjI0P+9uPfysuXL8uCU1VyVc4J+cLqfDnzN1tlvwZiMeLlT+Vzq/LkhvxSWVNzuVEdOvdP7VgZHpg4eKt9YKUQNSFFE2KxImomYkTlA+lZQgGTItaOUSJLLcowaAKr53oipVDGYFL+B5oPfS8EAzQHdsYApmx8VnVZ1W9FgJpKHLYGeqelP1bWSjQ5Tq96Tp8Hs/GC4Vj0gxwoZ8K6/NNywAufyJlvpMszFy43ao9z1QSE6AkJZ2RkyLKyMj8kSj4Ken0kWtIRF4maSBlNYiAiSFysVFtbKz/a+5Ec97tx8ok1TyidAREL3saba9+UH+Z8KHv9qJesrKyUqYWp8pUtr0gpr+lQPtr7kZz/xvxGeaArKyv9bhu8TGphql/WNx1hpm7cIr+59A/yqeXZcsiP/iH7Ppcix/x0nfxD2hFFiOldnbPkCNckPnHCMJg4/1CQnhU3avpu4poDgRMmyU4MRH/1euj2ZaU/seuDEw4+0Nk2GQ3YAScgwcwhZwTsxH5O19FEoEzMCy9vRxyc5HPIFUL8QggxVgiRSB8H5W4asPNQ5PHQAz0HGseT52WCqT9QnV6vF2vXrlXhkk313xPfA0u/OgpHKzyYvyQTK/M3wuVyYfPRzdh8dLNxzDMGzVB/XS4XEhIS8Iutv0Dfvn3V+/X19ViSsQSfHv4UGacyAAC/Sv8Vjh8/jkcmPIJdZ3dh1KhR2HJsC8rLy3Hbxdvwm6zfYO7IuXh5w8u4eOkilm1bhrq6Omw5tgVtbm2Dr078KpZtW4Zfpv8SC1MX4r6u9+Fno3+Ge4fci08OfoI3176Jry75Kvbs2YPu3bvjrd1v4cqVK5g5eCZ+96XfIbsiG3f1vAu5ubmoqqrC1P5T4fF4sKVgC748/st4ecPLfnP38oaX8fyk5/H+jvfh8Xjwq/Rfqd8OHDiAny7/qfKapnwNtBZ3jU5GbPca/ObLw5H7oy/gtS8NQ/fOHfDKPwox5ueb8PzqfBw8fUGVadOmjV9AuiFDhiA/Px95eXmWwd/0OPw5OTkq3wjtB/K4pTrdbncjb3y7vWfK6WGKFGtq01Sf/t3qjPC6TQEveVk9iB8AREREIDY2VvXf4/Fg+fLlKo8JtUm5DXheE6txEvB8CPq4+Bzwv3ZnncbCx2uad6tyNAc+PG0GU6h4Ux4HHniSPOypb7yMk7UD4OjmsMXwuelNWXVqaqK2Vs+CedfEffJ37Sh8oLpNpm0myD5aKYe9lCpH/e8GuXB9oTxUdl5evXrV8taggy42Ij8FHV7Z8oriQFILU+WrH74qR/xohCwrK5MpB1LkpNcmybKyMmWZxOuk20Vtba382h+/Jl967yUZ86MYefz4cfn6R6/LhasXyiNHjsj45+Pl0FeGysrKSvm1P35NLly9UD6++nH51rq35PR3p8s5r86RsxbP8hNV0VzR7YW49jnvzJG/+vBX8vWPXpe//fi3fkr0+5fcr8RgC1cvtF0Pupq/9/dN8rt/zZGD/2edCmC4Zs9JWfnP843mShcz6euo12+nBLa6WZpSbFqNwQrs9hbfw1ZZ9uwgkOVToPHytX377bf9LMjoHW5iy8diJ8O3OlehzJdpHFbjtcIR+v92fdf7ytfGql7TjcbJzcFRyO6bHShktwmsQtya4hzpoX4DxfTRY+zocfV57Ha9HV6/k/gydv0FgIOnL+C/V23H4bKruCqB6K4dcE98JO4Z1gOf1eZgQu8JxiRHBJuPbsaesj0Y2WMkxvcaDwBYlLMIz457FpuPbsad3e7E9z/6PgQE4m6Pw2OTH1OxZygejcfjwXc3fRdD5BB8a9a3sChnEQBgWNdhKC4uxhN3PwGPx4M/bv4j2rRpgyn9puCPB/+I7LPZ+NEXfgQA2LNnDx6Z8AhcLhe+/OcvY1a/Wbjc+TK+M+o7yK7IRk1NDU6cOIGvjPsK7nv/PvxH///APbH34Htp38M3J34TCR0T8JeMv+A7s78DANhybAum9Jui1sHr9WLppqXo2bOnLwlK11F4f8f7eHL6k3C5XFi4YyGeHfdsozmuqqrCe1vfw9Gao5gSfy+qzg3C8qzjOFZ5CR1dAg+N6Yf/HNcfvTq39yvr9fqH8jbF0+F5B5yuP4+To8ffMZU1rbkp1Db/jecm4XGr7DIB8jbtQuUHijvEkzfR/FM9/GyZ4kF5vV6sWrWqUYIm07m3C4HNf+f/81DhwZxbJzjH1HdTXfyZHlrc1AfAfJtqcj6Hmx0o8F4gsNsIfDPn5+dDStkoYBlgTiBj9dxqoa3ad7q49N20MU9XVWPz4Sq8n30Qhad9hCIqIhz3xEciouNxPJo8BXl5efhn539ixqAZxnY/Pfwpbqu4zS9g4JL1S1BfX4//mvZf2Fi8EadPn8YTdz+hxE4AsKdsDxYkL1DB9raf3q7a2FC0AUkRSVjw1wW4/fbbMSV2Cp5d9ywWzlqIiooKPDb5Mbyd+ja2Ht4KeVXC1daF+0fdjx0lO5BdnI3w9uGYGzsXX5v6NQDA8u3LERMTg3h3PJIWJ+E78d/BIxMewT3L7kFFTQUOPXsIERER+PTwp5jSbwq+/9H38cq9r2Br6VYAQHFxMWpra9GuXTu/wID6vD+76ln8YvYv/ALK0Xz9ozAVba8k4JWUbTj6T1/a0zkje2HB1IHo1TFM5aPYt2+fba4GnjDIav1Nv5mCvZnK8pwOvE2rZDkmxG4ViM4OrBCxVQ4Sq/Z1AgrYB47UCZ6pz4GYLd4PLq6hZEt2TKapvJ1Ym4Im0vh0htJqHvXvVmOy64Nd4L1/SeJgt2AEpsQkVjcHJxyCk3Y4WPUxEGcJwI9j1DNB8UNQ6anFhoOfYd3+cuwoqkD9VYlendtj+pBuuC+hN4beEY78/DyMGDECGacyMLX/VCzcsRALkhfg95/+Ht+Y8Q31nMsnH1z+IJbNX4Yl+UtUhNaMUxnYU7YHw7oOQ319PUpKSlBXV4evf+Hr+NOWP6G2tha7TuzCL+7/BaKiorDl2BYV1XNn6U6MjhqNgwcPYm/5Xh+XeJsbW85twcFvHcTmo5tRUFCA9Mp01NTUYHbMbADAN2d+E263G+Xl5fjPf/wn9p/ajyf7PIncU7n42r1fw6y4Wfj+R9/Haw+8hnWH1uHIkSPYdWIXHp3xKCZFTcI7G9/BoEGDUHCuACN7jFQRZzcf3Yyp/adiTd4avJf9HpY/uBzvpr2rbhf3f3A//jbvb1i6aSmeuPsJAMCpczV44i/LcepcNLz1V3H/8B74xvg+qC47akzlyLlyuxudCZHSvqC6XC6XJTKn/wl4/Tx1biBEyZ+b3g8E+tj1vloxS6YzqY+NbhCUa3vevHmK2FoROqccv07E7SLBBiqv/6a/Z5pXfkM0EedANx+qg0DHLW3btj0kpRxiGoOtQloIcYsQYpzdOzcDXLp0ye9aFkjZ4vV6Vfhm/r7VQQGsldqBwOr6bcdJ6IuZkJDgx8VTsnYaA5XlKUMBoIu7LR68MwpLHx6BHT+YhNfmDcfgyNuwfOcJfOntHZj8egZSTrdD3mkPJvedAgAK2T8+5XG/PvK5eXL8k3C73ViQvEBx1+N7jceC5AVYt2cdvjDgC3hs8mMqKfvgwYPxndnfwaL/WIQXP3kRG4o2YMagGRg+fDju6nkXDhw4gPr6elS7qxHmCkOnTp1w+fJl3HPHPXC73Tj4z4PIPpmN057T+M6072DIkCFo06YN3k17F58e/hRutxsPRD6APU/swbBhwzAuZhw2HtgIr9eLV+59BQCw6cAm3HrrrVjy1SX4woAvwOVyofhSMb4w4AsY1nUYAGBkj5GKMHxy8BP8Ne2v+NPcP2HX2V0YNGiQmoPvjv0uMk5loLpDtUJC/bt3wj8W/Bc2f3c8ZvZvi5R9pzD799lYe6odamSYmjtd0UnPTGvPkZGu5HS5rik/AfgpQr1eX2Y5UtRSvylbIq+DxLH6ebHbn6bnds/obHGlun4u9PPFEZ6eP5srVrOzs5Gfn48hQ4YgIiJCEQZ+pvX26Fkgjp8TT8B3locMGYKioqKA+IW3T33Vf6O+0F9OJDgIIVTZvLw8dcb1duzGlJ2dbVx/ADVW43CSzyFTSjnW9qUWhmBvDl6vVyX2Jgh0nQyVOAQLTq62tDlMqUCtOA8u0z5fU4f1+09j/aGz2Hr4LLz1V9H9trYYFlWPh0cOQ0rab9Cnd28MGjQI9w65F4BP1ER6A9qYSzctRd++ffGPvf9An9598NzE59Tm23JsC/6+8+/44ugvYm/5Xjw38TkAPlny3vN7UVdXh/0V+/HsuGfh8Xjw1u634Kpy4cODH6Lbrd2w6D8W4bWM1/DyzJfx/o73kXcmD6/OedUv3j4AbCjagOLiYlS6KnH2zFmUlZfhzqg78eQXnsRLqS9h4G0D8Y0Z3/Cbjxc/eRGzRs7ClH4+gkg3ANKx0Hjv6nmXrfWOHWd9oqIaS7NOY2XOCbhuvQVfG98f/zUxGp3ahxnLWHG3etx+u35wJLR8+XLExcX5ibP0nCCUBjUhISFkUZGVyCaQOEYfu1XbTkRQgLWYKVTQdS76mJ3oXKgfhJSTk5P9Ugk7FQHpdZlSlzrpB2+TxmCnc3BirfQygC+hgZDcjB87Pweuseff7Vz9g7XKcPpOKGDXF6d9NNWhnOAyMuXfco7Lb/zlmhXOyJ9+Kr/yxxT5zsfb5MVLNY3aIOczCqan100WQ69++KryW6AQGeR7QGEvuO9Bbe01T2qyOKH3v/X+t1R7vK03174pX/3wVfnbj38ry8rK5M//+nP56oevKosl3QrkrXVvyY/2fqTGwfvPrVjeXPumrK2tVWHGCch3gyy66B197DS/azZtl08tz5Z9n0uRw3/yqXw7rUgFSORgZaFit8b69+rqxhFZ9d91yx4rj2L9mZU1nRM/Brv37Nrh6+LU3yAUnya7+kxWQsE62FVXV6v8HKY6g+mjE8so/puVNzntEzTRCa4awFUAdQAuNHy/EKjcjfxYRWWlv1ax5WminEyoHViZKPJ2ApUPVK/T9+xMBE1t8ncv1tbJlLzT8qn3c+WgF695CT/87j/k5oLPVKgOHlWV/5VSqpAZFA4j5UCKCsKXWpjqRyw4YXh6xdPyiTVPqD4RsSACwpEwHwMhQYrj9PMVPuJw/5L7lUktzQk56RGB4I5+PBRIamGq8gBPOZCinvOxkuMS7Ss7z9ra2lr5p10bVGj1O1/ZIDOOnFXjsGNSrDzeTeaJVJeTdbdr16pt3RSSExertgJ5DpuYFk5QAu19u/r4d6tz7aRvToiyXT9or5hMSZsCToim1W/UlyYRh8/Dx5RDOpAtsum9QBNqB/oBtjrQVn0I5AEaiNugT3MFG7xUWy8/3nNCfvv9HBXdNOb5T+Sc322Tv1h3SH6676Q8bxHZlICHkeDIlZA+AYXA4PW8ufZNv+B79Jwj52+9/y2/cBnHjx/3y05HXtZz3pnjtwcowN/C1QtVWSIwprHofdMDE3JOjCC1MFWFLNiYnin/mF4kZy/apkKK/0/Kp6puu/AJvN96P+wCtgUCK+bI9I4JWVPZUJET/WYVD83kZW5i7uwgEB6orbUOShiISeTzx4M06mWtiHigMQQaq129TsoT2BEHJzoHAeArAPpLKX8mhOgDoIeUcpdtwRsIJj8HpzLH5pBNmvIO6xYodrJVLlcNJucsL8utF3QrplCAlJphYWGITxiJ3JPVWJGbg5KTt6Lk3BXUX5W4RQBDenbEnf26ICmqI9pdOIkJoxP9+rj56GbU1dVhSr8p6jnXX3i9Xmw/vR3r9qzDaw+8pt755OAnKCkpwWOTH8Ous7tQV1eH4uJiVHeoxojIEVi3Zx1eufcVbD+9HWFhYcgozsCBAwfw9n++jeyKbNWeSSa9dNNSPDja53eQcSpD9Y90Dy6XSymm+byTzFdKia11WzGm7xiM7zVeWZHwOb9Ycxl/+kcW9nk6YEvhWdRdkYiNvA3zknpj9oie6H5bO6UHqK+vV7oB0zroVj6kb6J80VZ5r+3WVreasrKo0fUHgayanMjA9fUw1UnvkSk4KZmpH7q+za49ky7ESmdhNzb+nNdTVVWFgoICS12AnS7QNAY7nWegenl5K90kh6bqHN4G8BaAQw3fbweQHajcjfwE0jk0J+ick84x8vec3kj4u8FwYXbXfSccod3vxFWZxG6Xautl2qEyuXB9ofx/S3bIQSwr2/TXt8pH//wPuXbvKfnZ+Rp1UzAl7CFRzkd7P1K3Av6prq5WNwEp/cODU04ILmoivcZdv7tLvrn2Tb80pfxdK09xJ56pqYWplrF3rl69KncfPStf+vt+OfKn62Xf51Jk0s/Wy59+fEAeONXYi5rPdaD1oP5xsYtVGk4n+cbtArnZcdyh3AT4/3YiXtM7ppsDvWPVd7tnTb1Rm+aB5j2Y/tiNwarPgW4z/F2+R+3aQRN1Drsb/u5hz/IClbuRn1CJQ7AbxbQ4dte6QGG5reo0vWuF9E3l7OS1Tq7LwUSYrK2tlRk7suT2w+Xyd5uPyIeXZsm4hmB1fZ9LkZNf2yJ/8GGe/L+dR+WJqouNylOQNRPCTi1MlQtXL5TfXPZNWVlZKee/MV+F+5bSnMCIkHfKgZRGWeSIUAUat+k3HThy/ex8jfz+R6nyCw35Iga88In85vIcufFgufTWX3Fcp91zvV2rd02iE9M7gXRketA7p4HorPaalWjHKvRMoKCTTpGnU/GQEwhmj3CRkt2cBEvgAs29KR2yXZmmEoedAG5lRKIbJxQ3wydQyG6riQw1NrqT302cgVWbTrg3KZ1bbfA67eI+WYGTqJJ29dXVX5F7S/8pl2wtkl97b5eMf+laRrbEn30iv7tij/zrzuOy5KxHXrhwwVZHQnoDkj/TDYAU33qf3lz7pvzmsm8qhbLeT57uVC/r9LZVW1srt+3Ikqtzjsuv/mmn7P9D39i++LsM+e62IvnPi9ZrZoU06LdAiMxKPm76HogI6O1xBoT+0jM7qyY7CDReymjHobq6ulE+Zad1m9qwY+BCMT4x/W9Vrx0Bd0I8gulnba3zxEQETSUOX4Evwc8pAK/Alzb0y4HK3cgPpQltykI3B+h9CDUYGr1n4p6CIU6ETJworXgZJ9xhMJYkV65clXuPV8h3M0rkk8t2ycQGkUvf51Jkwo/XyQcWp8hlO47KgrIL8sqVq35lKfWonlcitTBVmZty4AmL9Hr0vnJLKBJlmG4wNN6Ll2pkVnGF/OHf8mXs//j6P+bnG+Wv/nFIHvnMnOTdKtCbHdKwAjr8dgyH6bvdmloRFl2EFUwoaqu+62BFBIhoOCWkdkhazxnupF9Oma9QbyRO94EToxq9vWAYSCmlbSY4R+EzhBCxAO5u+LpZSnkoYKEbCKSQbqpyuTnAiTu7kzoyMzNx5MgRFbDNaTmuaBwwYAAOHToUUOllp3i0mtOqqipERERYKvlMjk7Ur4SEBJw4X4ddR6uQWXwW2cfOofzCZQDA7eFhGNUvAnf2j8CY6C6I69ERt94i8OnhT1W4ccCn1D58+DCenP6kCvHhFCiQoK7I5+Mm+OzCZWwtPIv/y92HI+W34sLlerjaAGN6tsVjU4Zi4uBI3HqLsFxvPUyLqQ36zS6Amsm5y8rByUoBGso+5E5TJuW1k3rtHNP0IHYmpz8nDoBWQGHZ9ZhMproInJ7bpuCbYOaN/rcLj2GltA7UXpMD7zXkbxgPQALYLqXcHbDQDQS7qKzXC5x6rDZl8+hWR8FsKIpqaRdBM5CliZWXqMfjwYoVKzB37lxFIAJtYjvkJqXEiaoa7DxaiV1Hq7DzaBVKqy4BAG5r2wZJ/W5HclQnjB3QHfG9OsHV5ha/8tyyyG5eaAzUx7Pus8oDnKDuylXkHv8n/rwrB8c+C8ehsgsAgO63tcXkwd0waVB3TBrcDS5xNaD1iD5/gTyB8/LyHBFyekbERK/biQdvKGBF9J1YO5ksowJ5Wzf3WbKzzLIK7BdsO03xzg6E1O3W1a6s3To1iTgIIX4M4MsA/gZAAJgD4EMp5f/aFrSv88sAfgIgDsCdUsqchuf9AByCT3QFAFlSym+Y6uCQmJgod+++cfTKziTueoXacMKh6/0gU7ZQN6oe2I0f2vT0dF/IawtkBjQOkhZoPBxKz17AnlPV2Hm0CjtLKlF89iIAoH3YLRjRpzP+X3IvzEmMMvZ9zZ5TyD1WiasQqL8iUVtfjzNnK1B3FejYqTOuSMBbdwVXJFB/VaLuylXUXZGov3IVZecvw1Nbj1tvAZKibseU2DswaVA3xPW4TcW4Mc2RVUIbU9gHu5tVMISch8Pg0Ui5+acV8W/qLdsOEepry28HVkyEXp+dOafdvFj11cn86sxYsPMRyDw42D5azQEQmHg5uU0ATScOhwCMlFJebvjeHj7ldJxtQfs64+Dzul4C4HsacUiRUg4Lpr64uDiZl5d3Q0VKVhsdcB7hMpQ2OZiIBT2jNptCrOyQSSARiZODYlW/iXCUVXmQc/yfSNlVgEMV9YjuehZ/eOxBYx++v3I31uafRAdXO4S1uQVtbhG+z623wNXmVtwqAFebW9Dm1lsQdqtAm1uu/b0sz+LBxBG4M6ojigr2B5w7uxDWThCn3bv8uekvccP6PFPAODuxYbDI1rQ+ToiZ3XiBawwE2eLzZ/R/sHNp1x+r3+zmxGl9wd4cAt2c9HeC7acT8VJT/Rz+AaAz+94ZPgTeZEUygDQAyex7PwD7g60nMTHRkfLleoITy4XmaIPbsVsps/QYOs0JwSjUnb5vZbVh9X9tba28fPmysRyN3SrZvElJbDU2U3wiu7E6hUBzY2c9pI/Jri59/QNZ2uhzoz/nZYLxztb7aFK2ktVSsCazgcbkpG/cMiuYMk05W3YhU0ztmb47NU7h3/U20URrpTXwWSq9B+BdACcBrADwWwC/DVQ+QN0m4nARwB4AWwFMsCn7dQA5AHKioqICTkxzQKh1NieCcWK10FTLklDrDmVjB9rogRCFyXKHp5c01W2FZHUbcbvQCsGAHSIOdICt/tr5O1gRQqt+mYir3ZibA6Hq9elpSO2QvhUzEcy+dzJmp+WDhWD6ajXWQATKbn9xaCpx+Krdx6bcRgD7DZ8vSmvi0BZAl4b/kwCcANAxUB8DxVZqDmjuG4CTup0gxFB+bwrYIQ/dzNKOa3fCIerIPpj+Bbo90XOObE1mok7Xygrs3m/K+uqxe0xceW2tOSYSf8/OD8aOYPO2Q0HI+nM7AufEmZT6ZXICM7UXrO+PHYRSNlRmUF/fQIxiIGgScfCVhwvAsIZPmJMyDuv1Iw7B/k4fu6iszQlNXQh6zwkhcMpZNqUvgfppVZ8JGfCDaYc4rDhhK2gKV2dCnlY+B3pf7Q6ek7kPxPmGUqfVM1P9fEyBxmFVv2ne9UBzoUZPtWtHXxsn4UConJOw2KH0M5j+NxdYraGJEQgVmnpzmAzgeIOYJx3AUQATA5Vz8jHcHLoBuLXh/+gGcVZEoHqaM7ZSsAeXfg+GOwyGkATzPFBfnIK+Ke2crOzed3qgAz1v6sHjhIHHwuJj0sNFOI1RpLcT6EYUaP70d4OdTw5NFZdYldP1DVZ7wynBC4b4OTmLTt9tLrieBIiYrmBiNwUDTSUOuQAGs++DYONV5+QD4IEG3UUtgM8AfNrw/EsADgDIA7AbwP1O6msu4hCIiwlUVodQDmdzQHPcKuzEMlacarBtWM231XOnddo9MyFgfvicctyhcONWfaBnduKhUIluMIgrFCWz1f+BGKZQwso3ZV+Y6mouMM11MIQyUJ9CYQycQlOJQ76TZy35aembg1U9dvJyqzqbKr910qem3lz4b029qVgdqFAOWqjEncvQ7eqn34iYhKL0D4Q0Td/5XyfjCfSO6XdTXoLmHg9/7jSqqt33UNoOVC5Y4MyESTTptL3mPJvBQFOJw7sA/tggXpoM4B0A7wYqdyM/FFspVLheVNmK+7ZCdnYhwPX+hrq5rRBgMHWFwhU5bcsJRx6sLNnJoQwUP0hfv0CiI1O/A/XHSchwu/LBcNRWNwen7wb6PVBfTNywaV+Fol+zYjIClQumftN3J8r9UPa+6b1QRY06NJU4tAXw3wBWA/gIwHcBtA1U7kZ+EhMTm4QsQxUbOa3ftJgmxSh/HqjdYJGg/l4whzBYrjCYtkOBUA623f/64XZi52/VD32tnVhlUdt2uUECQVNFmHZjDEVvYZoDPtdO59QpwTOVC2bdrOp0GlnZqr9256ypZ6A5xNYhEwcAtyAEp7Qb/Qn15uCUqjcXQrNCFnbtOpXNBnsQgnkvGDn09SS0wdSjIyWT6aepv1YHLhjfDivRgqms3nYowMfaFLDiRENhGvRxbd++XaalpfntZ6d7iv4Go+S36mOw+9nKjDYUBoV/b+qaUflgxYA6NPXm8D6AqEDvteQnGJ2DHRW/XqZvJu7HqQNMIIsZO84qVKLmlHszHfJgOcxQ3zEdLhNCtxLr2dUfzM3BqeWRqf9cd9EcjAf/Hmo9ThGW3djtCGGw+yMY6yen+6mpe7S5mMVQOX+OQ5rKFDSVOGwGUA1gE3x5HdYCWBuo3I38OCUOps3WlEMVKjftdNMH4uScbNJQxmS14Uxct9MNHgrhCvSOjvyD4fj1dvicBuMVbXovmDmhTHjBWO8E2ktNQVyhWizZPQvmd/2dYOakuZW+TvsY7Pv6OQoG9L0V6vkjaCpxmGT6BCp3Iz+h3Bzo/+bSVQTi4K2QTTBcKX8eKEtWU6ApylYT2I0lEDghoPRX75tThKHHqwrFEklvzym3G8hs1qqMXRuh7gk7xsCujFPmpKkIvLluDqa6muscWfW7OUxwrdYn1PMnZYjEAUA7AM8A+B2AJwG0sXq3pT888F5zcP/BcnAmjtrqUASjcLR6XlZWFrSDVqA6A73X1MPTlL4GQip23LMTpKG/w4P2Oe2nKTaQEw4x1HlxMiehtBdMf3TCavrdDikG08dARCOY247dfgnUl+tB2IKBphB+E4RKHP4PwPIGwrAGwJtW77b0h4hDMJvEbhKbeuhM71RXVzs2VbUDSq24YcOGJhGxYCBYzr85DoLpAAd6n4OVNVigftL7wYhXTDF9OFFoDqsS09xbER279QrF+cyuP8HcHJz00a6c3RlzShisiLWTebTi3IPtRzBlm7s+HUIlDvvY/23gy+HQ4oTA9OFiJSecYiAIdUPb1Wd3cwgWmisaZjBgOkwmrrA5CLRVm1bPTO8EGnNtbWBHLKf6CpMYKhiE4qQNKyQVTFgF05ib25Ev2HpCqT/Y9psyXhPT0Vz7W28nGAV/KPWZIFTisNvu+8300YnD9Vg8Xv/noVxz12Gqy2ojB9NesO8GY2NuVw9HrMFw36b3TLbwVv1y0j+rdvTvdgTOCvQYUqZYU077E+xtLhgIJH4NhTkKZk1D+f161BvKDYnAicWcXSgkXzJeMyQIIS40fKoBDKf/hRAXbMq1KLhcruuSppPXfz3L8WxvlOlKzwDnFPRsW00F3h+e9YraoHkPlHHLVJ/VOxzs1tbpXFHWsfz8fCQkJACAsZzeFo3Z1Kfk5ORGWdL4u3oGtEB9tWpH/663HagOyhxHv7ndbsybN0+lFw12rwUaQ7BjtOonPcvMzHS0p+k57VG+L3lmvFD6TW3rEGj+Qq3XlE7WyRp5vV7k5+db7gOPx4OcnBwACLesxIpqfJ4+zRlbqSVBlwlz7qwpoqym3qasREfBXLGt+tBc12hel9UVXR+D6TereoOJ0hpIHBIoqN/11JvZmSgH650dDCcc7DqbxDlvv/12QF2Sk70ZzA3UCTgVHTZlLkN5z8qBj/vXwObm0OKIvTk+wfg53MzAxQTNgdxDuYab6rDzH2iqCMnptTnY63VzEh2qozn2jxNFd6hzYvWbiWhatdFc8xaonlD28pYtWxzV4YSham5ccL2IeVPasfPqp3pgo3OwEyv9S0FTRTSm+ppaxiTKIDGBfh0eMmSIrWgqkCjC6iodaBwmUQ6/9gcjZrNKEG8lgrF6z4kIRB97U0SNNM5gyptEZV6vF0VFRRgyZIhtWSeihED72STmonkAGouEaH/k5OQYRYXB7He9b6b55/0zlae/vI5x48b5lbNaD3put16hrmVz1Gcq62R/BitW0kVzvD0n/f23IQ6hbnQThEJo9DJWdZgOkMfjsVxop/2hg+/xeNR3u3J2CLu55tLpodDbO3jwYEAEa6ojFGjqWpuQs8vlCqpO0xyFMnf03a6sj5n0Lx/sHNgRAw5WOqfs7GwlE8/OzvYjEFblrheEoosBgmcenRCGYJicZtG9Wl0pPk+fYD2kr4cZnlOzR7vvVmWaKs+k3ynwmZP8yk5EH801l8GC07ZD1ddY1RNqGTtxWqD+X89QFk7rCbWuUNozpZu9kf3R2wjFDDnUcoHqux5jRlNzSN/sn2AV0qEgaTtoDuc2u/40FwLkhy0Ymb3pN36AWwqcINbrmY2vOYhOc8TGspLpN4e+4EZCcyPV5oBQ56K59931WhM74vBvI1biEKp5mBVwk8Cmgukaa2caunfvXmOZQLJGJ+IIO5AN4ofrZTLsBALJlEeMGAG32217vQ6kB7ICEn+EYqrJ+2inS3Kq0zGJ+azECoH6FaoYxUndgYCvWXPVaQdO1yiYPUHgdrsD6gmDgZY4Z/+WxIFDMLI5u03SXISB5OlOkJkVAgxVTq7XbwUulwujRo1q8pxdbwhECJ3qgfj7HIQQjuq1AjuloalvdmDSDTgxADD1x7T/SFdlN5bm0AM0B+PmVGHrdI1CeU9f2xtxDpq9DasrxefpYydWas5r3fX2vHYSt+V6mLw1RQTTXDLz5oSm9N9Oxh2MOWawZqZ274Wy7qHK6k2/B5O+1kkbwQDVFUwQxOY+I6G+F8r6hQqhtoF/V51Dcy7KjZCvNzfSD6XtUIjK9VIchoLkr+dBbIqehiAQAQ5lHk1IqbmcHul7cyDnYPvDCYMdcWpuHWKoEOwaNXc/Q6kPIYbP+NxDc9i309/s7Ozm7JoRnMqXmwOsTGiD9VuwspvX6w2lf8HYdJP8v1lM+CwgkJ+JE3NiO7GhXR1W75vKNMXUWNc5UP1O59NO1xGMiIi/b6fTsxr/jYZQ9iv3KXFSJhAEq19qAGn1w780cQBCd3bRD4mVfDnYepsLmlJnU5SOOgSymw8EVn3ghMfuPYL6+nq/sk7KhAomxb+TOTApXE2/O9Xl7N27F4C1H4QVwgpG59BcOrlA9ZiYFf5+c8yZUwhl39j1w6QLGjVqlGVcrEDlnUBz6ID+5YmDU+CTqR8Sl8s6wFkw9TZXP5tSZyDuNVS4XnPDrbHslKJt2rSxrbs559/k4AY0z80vFA7dqowJYQW6nZiIVzAIzI7x0Ik2d8g0WdsFMxfNBU05W8Gsg937en90RslpX1qd4KR/JrimgFNFYTDvBHqvuWX8Te1Pc0JzzCGXO4eaHKa59RDB7pNg67zecD0Uxvx/J0YKlZWVluHCW9pH4EboFp2GDm+u4JlWgH91Pwcu8jFd+Z2Clbu/qc5gOAynppRO6gnELer1B9Of5gSnY3PKSQfyVzA9D0U04gQChYVwAnYiTKemtKFCc+qtTDenQPWPGDECERERfnoEfqsI9WZrZRJsJ9sPRk8W6k3dVL9uem4C/bxfz1QEJviXIA4Edld++t1UJpQ6m2uxgq3D6buBkLPTjR7Ivt0Krsdmbkpd10uRH2odViJMOz1BU8STwZajvpnKBqNn0cuRngQw6xEC6WUC1W13xpsyp80t93fqk+SUEbku+jWrK8Xn6aNngtP/t7qWBXO9M/3fFLhRts+htO3UhPBmhevti9IcJqJ2e6q5zYKd9FvvD4/5z8s2VeRzo/c7jcWq36GYSze1T81Rr14+1DWBjVhJ+H7/fENycrJsyGrUCIgyk0LHZO7VEqZvN6ptqzbsntN8uVwueDyeZvH+DhWCnaNA622q22kbwSie7foVzHqEAnpdgfpt6hsvw+dp7969GDJkSIvuiWAh2HW2Kn+9yzQF7Nqz+00IkSulTDb99i8lVjJBIDl9SxGGQG03t/hCf24nu+fy3uuJBIIR6Tktxy07AonVAlnXmN4PFYIxdbRq3wmYrLQC9TuQNY2uu/k8EQYON8rasKkiwFCgufSafmB1pfg8ff5V0oQSNLdndzB13whxVzDtNMX712ndTr3Dr6fVixMLn1Ct40Lpd0uEPbke0BxjCcXa8GYSu9nViX9nsdLnFZpyLTWV5VdrwJm45XqDU5GVSUzS3P0LJPa5Geq7WcQUnzcIRmwYigiTi9lCqUNXTt9Iq6R/a7HS5xWC3WD8f5OVFhehNGfboQJZ6YQiWroe/bse5q7Xy3z2RsC/CmEAgnPiC0b8QiJY2scmkV4wbbaEuaod/NvdHP4VOKJA3Eagm8PNMv7m4OhupvF8niAU5XqguQ5mLW7EbTBYaA6Fta68D4TsW3rcrTeHBmgJRVFzgxNuI5BDWHP1o6nlAzkBObWy4Tb5wbR/PUC/sV3v9kIBrze0wG9OFPxO6rNSmrfEHIVyI9X7qZ892ttObgFWBgrXE5zW3yLEQQjxmhCiQAiRL4T4SAjRmf32vBCiSAhRKISY0ZztNue1raUOu1Ni0BQI1YoomPrtnBWdtuHUMqm5+++kXidjbClwuZwFftMRp51Xb6CzZVdXS4lTroclErd+u1HWUder/hYRKwkhpgPYLKWsF0L8CgCklM8JIYYA+CuAOwH0BLARwCAp5RW7+m60Qvp6KY7sxEE3Cm7Uddh0FTe9AwQXoCyU9psTrMbV0uKDYMFuHwS7/1tC0RoImiJmtduvzeEHcr33Cq//phMrSSnXSykpxnIWgN4N/38RwAopZa2U8iiAIvgIxU0F14PTsVMkXw8O1wqach0OBpzefJyOP9j+XC8fE9O4bibC4FQEZ7cPgt3/wbx/I25X/FyFsi5WZXQ/EKciNqf1Nxc4rb9N4FeuOzwO4P8a/u8FH7EgONnwrBEIIb4O4OsNX2uFEPuvWw8NzcMmSYZD6AqgwkG9+jMnbdu9IwC0B1DjoB4dTH0OpQ/BQCjjJwimv7z+UOenOeoLpc/UjpN9Ed7w/yWH/XECofZZB5qrywCuNkN9VtAVQCUCn7VAz+2Arzts6uV7w66d5ppjHfpa/XDdiIMQYiOASMNPL0op/97wzosA6gG8T8UM7xsnS0r5BwB/aKgnx+pqdLNCa5+vP3ze+gu09vlGwOetv0DL9Pm6EQcp5TS734UQXwVwH4C75TXFx0kAfdhrvQGcvj49bIVWaIVWaAUraClrpZkAngMwW0p5if20FsCDQoi2Qoj+AAYC2NUSfWyFVmiFVvh3hpbSOfwOQFsAGxoS9WRJKb8hpTwghFgJ4CB84qZvBbJUaoA/XL+uXjdo7fP1h89bf4HWPt8I+Lz1F2iBPv9LeEi3Qiu0Qiu0QvPCv5WHdCu0Qiu0Qis4g1bi0Aqt0Aqt0AqN4HNNHIQQXxZCHBBCXBVCJGu/XbcwHM0FQogRQogsIcReIUSOEOKmc/jTQQixoGFODwghXm3p/jgFIcT3hBBSCNG1pfsSCOzCy9xMIISY2bAXioQQP2zp/gQCIUQfIcQWIcShhv37nZbukxMQQtwqhNgjhEi5ke1+rokDgP0A5gJI5w8bwnA8CGAogJkAFgshbr3x3QsIrwJ4WUo5AsCPG77ftCCEmAKfF/twKeVQAL9u4S45AiFEHwBfAFDa0n1xCBsADJNSDgdwGMDzLdyfRtBwnt4CcA+AIQD+o+Hc3cxQD+BZKWUcgDEAvvU56DMAfAfAoRvd6OeaOEgpD0kpCw0/fS7CcMDn4Nex4f9OuPl9Or4J4JdSyloAkFKeaeH+OIXfAPgBms8j+LqCTXiZmwnuBFAkpSyRUnoBrIDv3N20IKUsk1Lubvi/Gj6Ea4zAcLOAEKI3gHsBLL3RbX+uiYMN9AJwgn23DMPRwvAMgNeEECfg48JvOg5Rg0EAJgghdgohtgohRrV0hwKBEGI2gFNSyryW7kuI8DiAf7R0JwzweTljRhBC9AMwEsDOFu5KIHgDPsbmeoYTMcLNEFvJFpyE4TAVMzxrEa7Rrv8A7gbwXSnl34QQ8wH8EYCtZ/n1hgD9bQPgdviu5KMArBRCRMsWtocO0OcXAEy/sT0KDCGGl7mZ4KY5Y8GCEMIN4G8AnpFSXmjp/liBEOI+AGeklLlCiMk3uv2bnjgECsNhATdNGA67/gshlsEnTwSAD9ECV0cdAvT3mwBWNxCDXUKIq/AFBDt7o/pnAqs+CyHiAfQHkNfgbNkbwG4hxJ1SyvIb2MVGEGJ4mZsJbpozFgwIIcLgIwzvSylXt3R/AsBdAGYLIWYBaAegoxBiuZTy4RvR+L+qWOnzEobjNIBJDf9PBXCkBfviBNbA108IIQYBcOH6RIpsFpBS7pNSdpdS9pNS9oMPoSW2NGEIBDbhZW4myAYwUAjRXwjhgs8AZG0L98kWhI9D+COAQ1LK11u6P4FASvm8lLJ3w959EL4cODeEMACfg5uDHQghHgCwCEA3AJ8IIfZKKWc0IQzHjYb/AvCmEKINfGGKvx7g/ZaGPwH4U0N4dC+Ar96kXO3nHYzhZVq2S/7QkKjr2wA+BXArgD9JKQ+0cLcCwV0A/hPAPiHE3oZnL0gp17Vcl25eaA2f0Qqt0Aqt0AqN4F9VrNQKrdAKrdAKTYBW4tAKrdAKrdAKjaCVOLRCK7RCK7RCI2glDq3QCq3QCq3QCFqJQyu0Qiu0Qis0glbi0AoBQQhxpSFy7H4hxIdCiPCW7lMoIIToLIR4in3vKYRYdZ3bfE8IMc/wXLUthOjSEC3UI4T4XYD6Vgkhohv+P0ZRZoUQkUKIFUKIYiHEQSHEOiHEICFEPyFETcP6HRRCLGtwBIMQIlwI8b4QYl/D2mY0eA/rbX65IZLpluaYEycghIgXQrx3o9prhcbQShxawQnUSClHSCmHweff4Gdzfz0j3jZz3Z0BKOIgpTwtpWyEuG8EaG1fBvAjAN+zKyOEGArgVillifZcAPgIQJqUMkZKOQS+sCF3NLxS3BD5Nx4+T+b5Dc+/A+AzKWV8w9p+DUCdoemvAXhKSjlFa/e6+UlJKfcB6C2EiLpebbSCPbQSh1YIFrYBGCCEmNzA7X4An1NROyHEuw1c6J6G8N4QQjwqhPi7ECJV+GL/v0QVCSEeFkLsauBqlxAhaOCgfyqE2AlgLG9cCJEmhPiNECK9gZsdJYRYLYQ4IoT4X/befzdww/uFEM80PP4lgJiG9l5r4Kr3N7xv1//VDf0/IixyWDRw8b9qGM8uIcQA9vNEIcQOIUQJ3SJ421LKi1LKDPiIhB18BYApntgUAHVSyt/TAynlXinlNv5SgyPoLlwLkNcDwCn2eyFF3GXj+jGA8QB+3zBnjzbcHj8GsF4I4RZCbBJC7G6Yuy+y8RUIIZY2rMH7QohpQojtDfN4Z8N7HYQQfxJCZDfMO4/s+jF8nsGt0BIgpWz9tH5sPwA8DX/bwIecvglgMoCLAPo3/PYsgHcb/o+FL3dCOwCPAigD0AVAe/hycCQDiIPv8Ic1lFkM4JGG/yWA+RZ9SQPwq4b/vwNfCJIe8HkUn2xoJwnAPgAdALgBHIAvAmc/APtZXep7gP6XwBdSvR2A4wD6GPp1DL6geQDwCICUhv/fgy9u1i3w5T0o0ttmdTwK4Hc267AVQLzWZlcATwP4jUUZPsZ2ALbAl48DAEYAOAMgE8D/AhhoM+fJrI8nAUSwPdGx4f+u8IXHFw3t1sN3W7kFQC58HvYCvtDeaxrK/BzAww3/d4Yvf0WHhu93Afi4pff/v+un9ebQCk6gvfCFG8iBD2n+seH5LunLlwH4uMu/AICUsgA+JDqo4bcNUspKKWUNgNUN794NHxLPbqj7bgDRDe9fgS84mhVQDJ99AA5IX5z+WviQeJ+G+j+SPo7c09DmhABjtOv/JinleSnlZfhCsvS1qOOv7C+/8ayRUl6VUh7ENVFPKNADoQU5jGmY40oApVLKfMB3u4Bvzl8DEAHfWsQ5qG+DlLKq4X8B4OdCiHwAG+G7ldAYj0pffKur8BHoTdKH9ffBRzwAX8TcHzb0Lw0+AkaipDMAeoYw3lZoBvhcx1ZqhRsGNdIns1bgE3PjIn9kU16P0SIb3v+zlNKUw+KytI+FRaKPq+x/+t4mQF+swK4Mb+MKrM+NtPiflw+lbwQ18CFPHQ4AsNOdFEspRwghegBIE0LMllKuBQBGPFcLX5TdWQicdYyv+1fgi22WJKWsE0IcY33U14avG82hAPAlaU7a1Q6+MbdCC0DrzaEVmgvS4UMUFLE1CgAd+C8IISKEEO0BzAGwHcAmAPOEEN0bykQIIaw48lD6MqfBGqcDgAfg05VUA7gthP47hf/H/mYG22kHcAjAAMPzzQDaCiH+ix406GIm8ZeklGUAfoiGpFJCiLuEELc3/O+CT+x1PMg+dYIv50Bdg54m2DX8FMCCBqU6hBAj2W+D4BNDtkILQCtxaIXmgsUAbhVC7APwfwAeldeUmxnwiWz2AviblDKnQcTyP/ApNfPhy5vcozk6In2pIN+DT/m6E8BSKeUeKWUlgO0NCtLXgui/U2jboET/DoDvBlOwgeN+HcCjQoiTwpzb+BP4dD1+0CCqeQA+IlwshDgA4Ccw51dYAyBcCDEBQAyArQ1j3gOf2NBOnGeC9wEkCyFy4COuBUGW/xmAMAD5DQr6n7HfpsA35lZoAWiNytoK1xWEEI/Cp8z8dkv35XpCA3JPllJet/wWDTevLQDuCiB2+9yDEKItfAr48fJaPu1WuIHQenNohVb4nECDQv8lfI5yNTcBogD8sJUwtBy03hxaoRVaoRVaoRG03hxaoRVaoRVaoRG0EodWaIVWaIVWaAStxKEVWqEVWqEVGkErcWiFVmiFVmiFRtBKHFqhFVqhFVqhEfx/sbnP8nbUskcAAAAASUVORK5CYII=\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"pm1 = centerline['pmra']\n",
|
|
"pm2 = centerline['pmdec']\n",
|
|
"plt.plot(pm1, pm2, 'ko', markersize=0.3, alpha=0.3)\n",
|
|
"\n",
|
|
"pm1 = selected['pmra']\n",
|
|
"pm2 = selected['pmdec']\n",
|
|
"plt.plot(pm1, pm2, 'gx', markersize=0.3, alpha=0.3)\n",
|
|
"\n",
|
|
"plt.plot(pmra_poly, pmdec_poly)\n",
|
|
" \n",
|
|
"plt.xlabel('Proper motion phi1 (ICRS frame)')\n",
|
|
"plt.ylabel('Proper motion phi2 (ICRS frame)')\n",
|
|
"\n",
|
|
"plt.xlim([-10, 5])\n",
|
|
"plt.ylim([-20, 5]);"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"To use `pm_vertices` as part of an ADQL query, we have to convert it to a string.\n",
|
|
"\n",
|
|
"We'll use `flatten` to convert from a 2-D array to a 1-D array, and `str` to convert each element to a string."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"['-4.050371212154984',\n",
|
|
" '-14.75623260987968',\n",
|
|
" '-3.4198108491382455',\n",
|
|
" '-14.723655456335619',\n",
|
|
" '-3.035219883740934',\n",
|
|
" '-14.443571352854612',\n",
|
|
" '-2.268479190206636',\n",
|
|
" '-13.714023598831554',\n",
|
|
" '-2.611722027231764',\n",
|
|
" '-13.247974712069263',\n",
|
|
" '-2.7347140078529106',\n",
|
|
" '-13.090544709622938',\n",
|
|
" '-3.199231461993783',\n",
|
|
" '-12.594265302440828',\n",
|
|
" '-3.34082545787549',\n",
|
|
" '-12.476119260818695',\n",
|
|
" '-5.674894125178565',\n",
|
|
" '-11.160833381392624',\n",
|
|
" '-5.95159272432137',\n",
|
|
" '-11.105478836426514',\n",
|
|
" '-6.423940229776128',\n",
|
|
" '-11.05981294804957',\n",
|
|
" '-7.096310230579248',\n",
|
|
" '-11.951878058650085',\n",
|
|
" '-7.306415190921692',\n",
|
|
" '-12.245599765990594',\n",
|
|
" '-7.040166963232815',\n",
|
|
" '-12.885807024935527',\n",
|
|
" '-6.0034770546523735',\n",
|
|
" '-13.759120984106968',\n",
|
|
" '-4.42442296194263',\n",
|
|
" '-14.7464117578883']"
|
|
]
|
|
},
|
|
"execution_count": 14,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"t = [str(x) for x in pm_vertices.flatten()]\n",
|
|
"t"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Now `t` is a list of strings; we can use `join` to make a single string with commas between the elements."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 15,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"'-4.050371212154984, -14.75623260987968, -3.4198108491382455, -14.723655456335619, -3.035219883740934, -14.443571352854612, -2.268479190206636, -13.714023598831554, -2.611722027231764, -13.247974712069263, -2.7347140078529106, -13.090544709622938, -3.199231461993783, -12.594265302440828, -3.34082545787549, -12.476119260818695, -5.674894125178565, -11.160833381392624, -5.95159272432137, -11.105478836426514, -6.423940229776128, -11.05981294804957, -7.096310230579248, -11.951878058650085, -7.306415190921692, -12.245599765990594, -7.040166963232815, -12.885807024935527, -6.0034770546523735, -13.759120984106968, -4.42442296194263, -14.7464117578883'"
|
|
]
|
|
},
|
|
"execution_count": 15,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"pm_point_list = ', '.join(t)\n",
|
|
"pm_point_list"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Selecting the region\n",
|
|
"\n",
|
|
"Let's review how we got to this point.\n",
|
|
"\n",
|
|
"1. We made an ADQL query to the Gaia server to get data for stars in the vicinity of GD-1.\n",
|
|
"\n",
|
|
"2. We transformed to `GD1` coordinates so we could select stars along the centerline of GD-1.\n",
|
|
"\n",
|
|
"3. We plotted the proper motion of the centerline stars to identify the bounds of the overdense region.\n",
|
|
"\n",
|
|
"4. We made a mask that selects stars whose proper motion is in the overdense region.\n",
|
|
"\n",
|
|
"The problem is that we downloaded data for more than 100,000 stars and selected only about 1000 of them.\n",
|
|
"\n",
|
|
"It will be more efficient if we select on proper motion as part of the query. That will allow us to work with a larger region of the sky in a single query, and download less unneeded data.\n",
|
|
"\n",
|
|
"This query will select on the following conditions:\n",
|
|
"\n",
|
|
"* `parallax < 1`\n",
|
|
"\n",
|
|
"* `bp_rp BETWEEN -0.75 AND 2`\n",
|
|
"\n",
|
|
"* Coordinates within a rectangle in the GD-1 frame, transformed to ICRS.\n",
|
|
"\n",
|
|
"* Proper motion with the polygon we just computed.\n",
|
|
"\n",
|
|
"The first three conditions are the same as in the previous query. Only the last one is new.\n",
|
|
"\n",
|
|
"Here's the rectangle in the GD-1 frame we'll select."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 16,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"phi1_min = -70\n",
|
|
"phi1_max = -20\n",
|
|
"phi2_min = -5\n",
|
|
"phi2_max = 5"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 17,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"phi1_rect = [phi1_min, phi1_min, phi1_max, phi1_max] * u.deg\n",
|
|
"phi2_rect = [phi2_min, phi2_max, phi2_max, phi2_min] * u.deg"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Here's how we transform it to ICRS, as we saw in the previous lesson."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 18,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"import gala.coordinates as gc\n",
|
|
"import astropy.coordinates as coord\n",
|
|
"\n",
|
|
"corners = gc.GD1Koposov10(phi1=phi1_rect, phi2=phi2_rect)\n",
|
|
"corners_icrs = corners.transform_to(coord.ICRS)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"To use `corners_icrs` as part of an ADQL query, we have to convert it to a string. Here's how we do that, as we saw in the previous lesson."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 19,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"'135.30559858565638, 8.398623940157561, 126.50951508623503, 13.44494195652069, 163.0173655836748, 54.24242734020255, 172.9328536286811, 46.47260492416258'"
|
|
]
|
|
},
|
|
"execution_count": 19,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"point_base = \"{point.ra.value}, {point.dec.value}\"\n",
|
|
"\n",
|
|
"t = [point_base.format(point=point)\n",
|
|
" for point in corners_icrs]\n",
|
|
"\n",
|
|
"point_list = ', '.join(t)\n",
|
|
"point_list"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Now we have everything we need to assemble the query."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Assemble the query\n",
|
|
"\n",
|
|
"Here's the base string we used for the query in the previous lesson."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 20,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"query_base = \"\"\"SELECT \n",
|
|
"{columns}\n",
|
|
"FROM gaiadr2.gaia_source\n",
|
|
"WHERE parallax < 1\n",
|
|
" AND bp_rp BETWEEN -0.75 AND 2 \n",
|
|
" AND 1 = CONTAINS(POINT(ra, dec), \n",
|
|
" POLYGON({point_list}))\n",
|
|
"\"\"\""
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"**Exercise:** Modify `query_base` by adding a new clause to select stars whose coordinates of proper motion, `pmra` and `pmdec`, fall within the polygon defined by `pm_point_list`."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 21,
|
|
"metadata": {
|
|
"tags": [
|
|
"hide-cell"
|
|
]
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"# Solution\n",
|
|
"\n",
|
|
"query_base = \"\"\"SELECT \n",
|
|
"{columns}\n",
|
|
"FROM gaiadr2.gaia_source\n",
|
|
"WHERE parallax < 1\n",
|
|
" AND bp_rp BETWEEN -0.75 AND 2 \n",
|
|
" AND 1 = CONTAINS(POINT(ra, dec), \n",
|
|
" POLYGON({point_list}))\n",
|
|
" AND 1 = CONTAINS(POINT(pmra, pmdec),\n",
|
|
" POLYGON({pm_point_list}))\n",
|
|
"\"\"\""
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Here again are the columns we want to select."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 22,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"columns = 'source_id, ra, dec, pmra, pmdec, parallax, parallax_error, radial_velocity'"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"**Exercise:** Use `format` to format `query_base` and define `query`, filling in the values of `columns`, `point_list`, and `pm_point_list`."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 23,
|
|
"metadata": {
|
|
"tags": [
|
|
"hide-cell"
|
|
]
|
|
},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"SELECT \n",
|
|
"source_id, ra, dec, pmra, pmdec, parallax, parallax_error, radial_velocity\n",
|
|
"FROM gaiadr2.gaia_source\n",
|
|
"WHERE parallax < 1\n",
|
|
" AND bp_rp BETWEEN -0.75 AND 2 \n",
|
|
" AND 1 = CONTAINS(POINT(ra, dec), \n",
|
|
" POLYGON(135.30559858565638, 8.398623940157561, 126.50951508623503, 13.44494195652069, 163.0173655836748, 54.24242734020255, 172.9328536286811, 46.47260492416258))\n",
|
|
" AND 1 = CONTAINS(POINT(pmra, pmdec),\n",
|
|
" POLYGON(-4.050371212154984, -14.75623260987968, -3.4198108491382455, -14.723655456335619, -3.035219883740934, -14.443571352854612, -2.268479190206636, -13.714023598831554, -2.611722027231764, -13.247974712069263, -2.7347140078529106, -13.090544709622938, -3.199231461993783, -12.594265302440828, -3.34082545787549, -12.476119260818695, -5.674894125178565, -11.160833381392624, -5.95159272432137, -11.105478836426514, -6.423940229776128, -11.05981294804957, -7.096310230579248, -11.951878058650085, -7.306415190921692, -12.245599765990594, -7.040166963232815, -12.885807024935527, -6.0034770546523735, -13.759120984106968, -4.42442296194263, -14.7464117578883))\n",
|
|
"\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"# Solution\n",
|
|
"\n",
|
|
"query = query_base.format(columns=columns, \n",
|
|
" point_list=point_list,\n",
|
|
" pm_point_list=pm_point_list)\n",
|
|
"print(query)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Here's how we run it."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 24,
|
|
"metadata": {
|
|
"scrolled": true
|
|
},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"Created TAP+ (v1.2.1) - Connection:\n",
|
|
"\tHost: gea.esac.esa.int\n",
|
|
"\tUse HTTPS: True\n",
|
|
"\tPort: 443\n",
|
|
"\tSSL Port: 443\n",
|
|
"Created TAP+ (v1.2.1) - Connection:\n",
|
|
"\tHost: geadata.esac.esa.int\n",
|
|
"\tUse HTTPS: True\n",
|
|
"\tPort: 443\n",
|
|
"\tSSL Port: 443\n",
|
|
"INFO: Query finished. [astroquery.utils.tap.core]\n",
|
|
"<Table length=7346>\n",
|
|
" name dtype unit description n_bad\n",
|
|
"--------------- ------- -------- ------------------------------------------------------------------ -----\n",
|
|
" source_id int64 Unique source identifier (unique within a particular Data Release) 0\n",
|
|
" ra float64 deg Right ascension 0\n",
|
|
" dec float64 deg Declination 0\n",
|
|
" pmra float64 mas / yr Proper motion in right ascension direction 0\n",
|
|
" pmdec float64 mas / yr Proper motion in declination direction 0\n",
|
|
" parallax float64 mas Parallax 0\n",
|
|
" parallax_error float64 mas Standard error of parallax 0\n",
|
|
"radial_velocity float64 km / s Radial velocity 7295\n",
|
|
"Jobid: 1605744463707O\n",
|
|
"Phase: COMPLETED\n",
|
|
"Owner: None\n",
|
|
"Output file: async_20201118190743.vot\n",
|
|
"Results: None\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"from astroquery.gaia import Gaia\n",
|
|
"\n",
|
|
"job = Gaia.launch_job_async(query)\n",
|
|
"print(job)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"And get the results."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 25,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"7346"
|
|
]
|
|
},
|
|
"execution_count": 25,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"candidate_table = job.get_results()\n",
|
|
"len(candidate_table)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Plotting one more time\n",
|
|
"\n",
|
|
"Let's see what the results look like."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 26,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"x = candidate_table['ra']\n",
|
|
"y = candidate_table['dec']\n",
|
|
"plt.plot(x, y, 'ko', markersize=0.3, alpha=0.3)\n",
|
|
"\n",
|
|
"plt.xlabel('ra (degree ICRS)')\n",
|
|
"plt.ylabel('dec (degree ICRS)');"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Here we can see why it was useful to transform these coordinates. In ICRS, it is more difficult to identity the stars near the centerline of GD-1.\n",
|
|
"\n",
|
|
"So, before we move on to the next step, let's collect the code we used to transform the coordinates and make a Pandas `DataFrame`:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 27,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"from pyia import GaiaData\n",
|
|
"\n",
|
|
"def make_dataframe(table):\n",
|
|
" \"\"\"Transform coordinates from ICRS to GD-1 frame.\n",
|
|
" \n",
|
|
" table: Astropy Table\n",
|
|
" \n",
|
|
" returns: Pandas DataFrame\n",
|
|
" \"\"\"\n",
|
|
" gaia_data = GaiaData(table)\n",
|
|
"\n",
|
|
" c_sky = gaia_data.get_skycoord(distance=8*u.kpc, \n",
|
|
" radial_velocity=0*u.km/u.s)\n",
|
|
" c_gd1 = gc.reflex_correct(\n",
|
|
" c_sky.transform_to(gc.GD1Koposov10))\n",
|
|
"\n",
|
|
" df = table.to_pandas()\n",
|
|
" df['phi1'] = c_gd1.phi1\n",
|
|
" df['phi2'] = c_gd1.phi2\n",
|
|
" df['pm_phi1'] = c_gd1.pm_phi1_cosphi2\n",
|
|
" df['pm_phi2'] = c_gd1.pm_phi2\n",
|
|
" return df"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Here's how we can use this function:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 28,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"candidate_df = make_dataframe(candidate_table)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"And let's see the results."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 29,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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\n",
|
|
"text/plain": [
|
|
"<Figure size 432x288 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"x = candidate_df['phi1']\n",
|
|
"y = candidate_df['phi2']\n",
|
|
"\n",
|
|
"plt.plot(x, y, 'ko', markersize=0.5, alpha=0.5)\n",
|
|
"\n",
|
|
"plt.xlabel('ra (degree GD1)')\n",
|
|
"plt.ylabel('dec (degree GD1)');"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"We're starting to see GD-1 more clearly.\n",
|
|
"\n",
|
|
"We can compare this figure with one of these panels in Figure 1 from the original paper:\n",
|
|
"\n",
|
|
"<img height=\"150\" src=\"https://github.com/datacarpentry/astronomy-python/raw/gh-pages/fig/gd1-2.png\">\n",
|
|
"\n",
|
|
"<img height=\"150\" src=\"https://github.com/datacarpentry/astronomy-python/raw/gh-pages/fig/gd1-4.png\">\n",
|
|
"\n",
|
|
"The top panel shows stars selected based on proper motion only, so it is comparable to our figure (although notice that it covers a wider region).\n",
|
|
"\n",
|
|
"In the next lesson, we will use photometry data from Pan-STARRS to do a second round of filtering, and see if we can replicate the bottom panel.\n",
|
|
"\n",
|
|
"We'll also learn how to add annotations like the ones in the figure from the paper, and customize the style of the figure to present the results clearly and compellingly."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## Saving the DataFrame\n",
|
|
"\n",
|
|
"Let's save this `DataFrame` so we can pick up where we left off without running this query again."
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 31,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"filename = 'gd1_candidates.hdf5'\n",
|
|
"\n",
|
|
"candidate_df.to_hdf(filename, 'candidate_df', mode='w')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"We can use `ls` to confirm that the file exists and check the size:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 32,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"-rw-rw-r-- 1 downey downey 756K Nov 18 19:07 gd1_candidates.hdf5\r\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"!ls -lh gd1_candidates.hdf5"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"If you are using Windows, `ls` might not work; in that case, try:\n",
|
|
"\n",
|
|
"```\n",
|
|
"!dir gd1_candidates.hdf5\n",
|
|
"```"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"## CSV\n",
|
|
"\n",
|
|
"Pandas can write a variety of other formats, [which you can read about here](https://pandas.pydata.org/pandas-docs/stable/user_guide/io.html).\n",
|
|
"\n",
|
|
"We won't cover all of them, but one other important one is [CSV](https://en.wikipedia.org/wiki/Comma-separated_values), which stands for \"comma-separated values\".\n",
|
|
"\n",
|
|
"CSV is a plain-text format with minimal formatting requirements, so it can be read and written by pretty much any tool that works with data. In that sense, it is the \"least common denominator\" of data formats.\n",
|
|
"\n",
|
|
"However, it has an important limitation: some information about the data gets lost in translation, notably the data types. If you read a CSV file from someone else, you might need some additional information to make sure you are getting it right.\n",
|
|
"\n",
|
|
"Also, CSV files tend to be big, and slow to read and write.\n",
|
|
"\n",
|
|
"With those caveats, here's how to write one:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 33,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"candidate_df.to_csv('gd1_candidates.csv')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"We can check the file size like this:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 34,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"-rw-rw-r-- 1 downey downey 1.6M Nov 18 19:07 gd1_candidates.csv\r\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"!ls -lh gd1_candidates.csv"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"The CSV file about 2 times bigger than the HDF5 file (so that's not that bad, really).\n",
|
|
"\n",
|
|
"We can see the first few lines like this:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 35,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
",source_id,ra,dec,pmra,pmdec,parallax,parallax_error,radial_velocity,phi1,phi2,pm_phi1,pm_phi2\r\n",
|
|
"0,635559124339440000,137.58671691646745,19.1965441084838,-3.770521900009566,-12.490481778113859,0.7913934419894347,0.2717538145759051,,-59.63048941944396,-1.21648525150429,-7.3613627125974945,-0.5926328820644919\r\n",
|
|
"1,635860218726658176,138.5187065217173,19.09233926905897,-5.941679495793577,-11.346409129876392,0.30745551377348623,0.19946557779138105,,-59.247329893833296,-2.0160784008206476,-7.52712608464053,1.7487794924176672\r\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"!head -3 gd1_candidates.csv"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"The CSV file contains the names of the columns, but not the data types.\n",
|
|
"\n",
|
|
"We can read the CSV file back like this:"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 36,
|
|
"metadata": {},
|
|
"outputs": [],
|
|
"source": [
|
|
"read_back_csv = pd.read_csv('gd1_candidates.csv')"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"metadata": {},
|
|
"source": [
|
|
"Let's compare the first few rows of `candidate_df` and `read_back_csv`"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 37,
|
|
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"text/plain": [
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" Unnamed: 0 source_id ra dec pmra pmdec \\\n",
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"0 0 635559124339440000 137.586717 19.196544 -3.770522 -12.490482 \n",
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"\n",
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" parallax parallax_error radial_velocity phi1 phi2 pm_phi1 \\\n",
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"0 0.791393 0.271754 NaN -59.630489 -1.216485 -7.361363 \n",
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"source": [
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"read_back_csv.head(3)"
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]
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},
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"cell_type": "markdown",
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"metadata": {},
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"source": [
|
|
"Notice that the index in `candidate_df` has become an unnamed column in `read_back_csv`. The Pandas functions for writing and reading CSV files provide options to avoid that problem, but this is an example of the kind of thing that can go wrong with CSV files."
|
|
]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
|
|
"## Summary\n",
|
|
"\n",
|
|
"In the previous lesson we downloaded data for a large number of stars and then selected a small fraction of them based on proper motion.\n",
|
|
"\n",
|
|
"In this lesson, we improved this process by writing a more complex query that uses the database to select stars based on proper motion. This process requires more computation on the Gaia server, but then we're able to either:\n",
|
|
"\n",
|
|
"1. Search the same region and download less data, or\n",
|
|
"\n",
|
|
"2. Search a larger region while still downloading a manageable amount of data.\n",
|
|
"\n",
|
|
"In the next lesson, we'll learn about the databased `JOIN` operation and use it to download photometry data from Pan-STARRS."
|
|
]
|
|
},
|
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{
|
|
"cell_type": "markdown",
|
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"metadata": {},
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"source": [
|
|
"## Best practices\n",
|
|
"\n",
|
|
"* When possible, \"move the computation to the data\"; that is, do as much of the work as possible on the database server before downloading the data.\n",
|
|
"\n",
|
|
"* For most applications, saving data in FITS or HDF5 is better than CSV. FITS and HDF5 are binary formats, so the files are usually smaller, and they store metadata, so you don't lose anything when you read the file back.\n",
|
|
"\n",
|
|
"* On the other hand, CSV is a \"least common denominator\" format; that is, it can be read by practically any application that works with data."
|
|
]
|
|
},
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