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AstronomicalData/_sources/04_select.ipynb
2020-12-29 16:52:17 -05:00

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{
"cells": [
{
"cell_type": "raw",
"metadata": {
"tags": [
"remove-cell"
]
},
"source": [
"---\n",
"title: \"Transform and Select\"\n",
"teaching: 3000\n",
"exercises: 0\n",
"questions:\n",
"\n",
"- \"How do we move the computation to the data?\"\n",
"\n",
"objectives:\n",
"\n",
"- \"Transform proper motions from one frame to another.\"\n",
"\n",
"- \"Compute the convex hull of a set of points.\"\n",
"\n",
"- \"Write an ADQL query that selects based on proper motion.\"\n",
"\n",
"- \"Save data in CSV format.\"\n",
"\n",
"keypoints:\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.\"\n",
"\n",
"---\n",
"\n",
"{% include links.md %}\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Transformation and Selection\n",
"\n",
"This is the fourth in a series of notebooks related to astronomy data.\n",
"\n",
"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",
"\n",
"In the first lesson, we wrote ADQL queries and used them to select and download data from the Gaia server.\n",
"\n",
"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",
"\n",
"In the third lesson, we read that data back and identified stars with the proper motion we expect for GD-1."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Outline\n",
"\n",
"Here are the steps in this lesson:\n",
"\n",
"1. Using data from the previous lesson, we'll identify the values of proper motion for stars likely to be in GD-1.\n",
"\n",
"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",
"\n",
"3. We'll also see how to write the results to a CSV file.\n",
"\n",
"That will make it possible to search a bigger region of the sky in a single query.\n",
"\n",
"After completing this lesson, you should be able to\n",
"\n",
"* Transform proper motions from one frame to another.\n",
"\n",
"* Compute the convex hull of a set of points.\n",
"\n",
"* Write an ADQL query that selects based on proper motion.\n",
"\n",
"* Save data in CSV format."
]
},
{
"cell_type": "markdown",
"metadata": {
"tags": [
"remove-cell"
]
},
"source": [
"## Installing libraries\n",
"\n",
"If you are running this notebook on Colab, you can run the following cell to install the libraries we'll use.\n",
"\n",
"If you are running this notebook on your own computer, you might have to install these libraries yourself. See the instructions in the preface."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"tags": [
"remove-cell"
]
},
"outputs": [],
"source": [
"# If we're running on Colab, install libraries\n",
"\n",
"import sys\n",
"IN_COLAB = 'google.colab' in sys.modules\n",
"\n",
"if IN_COLAB:\n",
" !pip install astroquery astro-gala wget"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Reload the data\n",
"\n",
"The following cells download the data from the previous lesson, if necessary, and load it into a Pandas `DataFrame`."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import os\n",
"from wget import download\n",
"\n",
"filename = 'gd1_dataframe.hdf5'\n",
"path = 'https://github.com/AllenDowney/AstronomicalData/raw/main/data/'\n",
"\n",
"if not os.path.exists(filename):\n",
" print(download(path+filename))"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"\n",
"centerline_df = pd.read_hdf(filename, 'centerline_df')\n",
"selected_df = pd.read_hdf(filename, 'selected_df')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Selection by proper motion\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 the coordinates to the `GD1Koposov10` frame 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",
"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",
"\n",
"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",
"\n",
"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",
"\n",
"As a reminder, here's the rectangle we selected based on proper motion in the `GD1Koposov10` frame."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"pm1_min = -8.9\n",
"pm1_max = -6.9\n",
"pm2_min = -2.2\n",
"pm2_max = 1.0"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"def make_rectangle(x1, x2, y1, y2):\n",
" \"\"\"Return the corners of a rectangle.\"\"\"\n",
" xs = [x1, x1, x2, x2, x1]\n",
" ys = [y1, y2, y2, y1, y1]\n",
" return xs, ys"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [],
"source": [
"pm1_rect, pm2_rect = make_rectangle(\n",
" pm1_min, pm1_max, pm2_min, pm2_max)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The following figure shows:\n",
"\n",
"* Proper motion for the stars we selected along the center line of GD-1,\n",
"\n",
"* The rectangle we selected, and\n",
"\n",
"* The stars inside the rectangle highlighted in green."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"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_df['pm_phi1']\n",
"pm2 = centerline_df['pm_phi2']\n",
"plt.plot(pm1, pm2, 'ko', markersize=0.3, alpha=0.3)\n",
"\n",
"pm1 = selected_df['pm_phi1']\n",
"pm2 = selected_df['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": 8,
"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_df['pmra']\n",
"pm2 = centerline_df['pmdec']\n",
"plt.plot(pm1, pm2, 'ko', markersize=0.3, alpha=0.3)\n",
"\n",
"pm1 = selected_df['pmra']\n",
"pm2 = selected_df['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, and use that polygon as a selection criterion in an ADQL query."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Convex Hull\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, we'll select columns `pmra` and `pmdec` and convert them to a NumPy array."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(1049, 2)"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import numpy as np\n",
"\n",
"points = selected_df[['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_df[['pmra','pmdec']].values\n",
"\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We'll pass the points to `ConvexHull`, which returns an object that contains the results. "
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<scipy.spatial.qhull.ConvexHull at 0x7fa7c4c03a90>"
]
},
"execution_count": 10,
"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": 11,
"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": 11,
"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": 12,
"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": 12,
"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": 13,
"metadata": {},
"outputs": [],
"source": [
"pmra_poly, pmdec_poly = np.transpose(pm_vertices)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"This use of `transpose` is a bit of a NumPy trick. Because `pm_vertices` has two columns, its transpose has two rows, which are assigned to the two variables `pmra_poly` and `pmdec_poly`.\n",
"\n",
"The following figure shows proper motion in ICRS again, along with the convex hull we just computed."
]
},
{
"cell_type": "code",
"execution_count": 14,
"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_df['pmra']\n",
"pm2 = centerline_df['pmdec']\n",
"plt.plot(pm1, pm2, 'ko', markersize=0.3, alpha=0.3)\n",
"\n",
"pm1 = selected_df['pmra']\n",
"pm2 = selected_df['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": [
"So `pm_vertices` represents the polygon we want to select.\n",
"The next step is to use it as part of an ADQL query."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Assembling the query\n",
"\n",
"Here's the base string we used for the query in the previous lesson."
]
},
{
"cell_type": "code",
"execution_count": 15,
"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": [
"And here are the changes we'll make in this lesson:\n",
"\n",
"1. We will add another clause to select stars whose proper motion is in the polygon we just computed, `pm_vertices`.\n",
"\n",
"2. We will select stars with coordinates in a larger region.\n",
"\n",
"To use `pm_vertices` as part of an ADQL query, we have to convert it to a string.\n",
"Using `flatten` and `array2string`, we can almost get the format we need."
]
},
{
"cell_type": "code",
"execution_count": 80,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'[ -4.05037121,-14.75623261, -3.41981085,-14.72365546, -3.03521988,-14.44357135, -2.26847919,-13.7140236 , -2.61172203,-13.24797471, -2.73471401,-13.09054471, -3.19923146,-12.5942653 , -3.34082546,-12.47611926, -5.67489413,-11.16083338, -5.95159272,-11.10547884, -6.42394023,-11.05981295, -7.09631023,-11.95187806, -7.30641519,-12.24559977, -7.04016696,-12.88580702, -6.00347705,-13.75912098, -4.42442296,-14.74641176]'"
]
},
"execution_count": 80,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s = np.array2string(pm_vertices.flatten(), \n",
" max_line_width=1000,\n",
" separator=',')\n",
"s"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We just have to remove the brackets."
]
},
{
"cell_type": "code",
"execution_count": 81,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"' -4.05037121,-14.75623261, -3.41981085,-14.72365546, -3.03521988,-14.44357135, -2.26847919,-13.7140236 , -2.61172203,-13.24797471, -2.73471401,-13.09054471, -3.19923146,-12.5942653 , -3.34082546,-12.47611926, -5.67489413,-11.16083338, -5.95159272,-11.10547884, -6.42394023,-11.05981295, -7.09631023,-11.95187806, -7.30641519,-12.24559977, -7.04016696,-12.88580702, -6.00347705,-13.75912098, -4.42442296,-14.74641176'"
]
},
"execution_count": 81,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pm_point_list = s.strip('[]')\n",
"pm_point_list"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We'll add this string to the query soon, but first let's compute the other polygon, the one that specifies the region of the sky we want.\n",
"\n",
"Here are the coordinates of the rectangle we'll select, in the GD-1 frame."
]
},
{
"cell_type": "code",
"execution_count": 82,
"metadata": {},
"outputs": [],
"source": [
"import astropy.units as u\n",
"\n",
"phi1_min = -70 * u.degree\n",
"phi1_max = -20 * u.degree\n",
"phi2_min = -5 * u.degree\n",
"phi2_max = 5 * u.degree"
]
},
{
"cell_type": "code",
"execution_count": 83,
"metadata": {},
"outputs": [],
"source": [
"phi1_rect, phi2_rect = make_rectangle(\n",
" phi1_min, phi1_max, phi2_min, phi2_max)"
]
},
{
"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": 84,
"metadata": {},
"outputs": [],
"source": [
"from gala.coordinates import GD1Koposov10\n",
"from astropy.coordinates import SkyCoord\n",
"\n",
"corners = SkyCoord(phi1=phi1_rect, \n",
" phi2=phi2_rect, \n",
" frame=GD1Koposov10)\n",
"\n",
"corners_icrs = corners.transform_to('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": 85,
"metadata": {},
"outputs": [],
"source": [
"def skycoord_to_string(skycoord):\n",
" \"\"\"Convert SkyCoord to string.\"\"\"\n",
" t = skycoord.to_string()\n",
" s = ' '.join(t)\n",
" return s.replace(' ', ', ')"
]
},
{
"cell_type": "code",
"execution_count": 86,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"'135.306, 8.39862, 126.51, 13.4449, 163.017, 54.2424, 172.933, 46.4726, 135.306, 8.39862'"
]
},
"execution_count": 86,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"point_list = skycoord_to_string(corners_icrs)\n",
"point_list"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now we have everything we need to assemble the query.\n",
"Here's the base query from the previous lesson again:"
]
},
{
"cell_type": "code",
"execution_count": 87,
"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\n",
"\n",
"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": 88,
"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": 89,
"metadata": {},
"outputs": [],
"source": [
"columns = 'source_id, ra, dec, pmra, pmdec, parallax, radial_velocity'"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exercise\n",
"\n",
"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": 90,
"metadata": {
"tags": [
"hide-cell"
]
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"SELECT \n",
"source_id, ra, dec, pmra, pmdec, parallax, 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(135.306, 8.39862, 126.51, 13.4449, 163.017, 54.2424, 172.933, 46.4726, 135.306, 8.39862))\n",
" AND 1 = CONTAINS(POINT(pmra, pmdec),\n",
" POLYGON( -4.05037121,-14.75623261, -3.41981085,-14.72365546, -3.03521988,-14.44357135, -2.26847919,-13.7140236 , -2.61172203,-13.24797471, -2.73471401,-13.09054471, -3.19923146,-12.5942653 , -3.34082546,-12.47611926, -5.67489413,-11.16083338, -5.95159272,-11.10547884, -6.42394023,-11.05981295, -7.09631023,-11.95187806, -7.30641519,-12.24559977, -7.04016696,-12.88580702, -6.00347705,-13.75912098, -4.42442296,-14.74641176))\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": [
"Now we can run the query like this:"
]
},
{
"cell_type": "code",
"execution_count": 91,
"metadata": {
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"INFO: Query finished. [astroquery.utils.tap.core]\n",
"<Table length=7345>\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",
"radial_velocity float64 km / s Radial velocity 7294\n",
"Jobid: 1609278364817O\n",
"Phase: COMPLETED\n",
"Owner: None\n",
"Output file: async_20201229164604.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": 92,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"7345"
]
},
"execution_count": 92,
"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": 93,
"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": 94,
"metadata": {},
"outputs": [],
"source": [
"from gala.coordinates import reflex_correct\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",
" skycoord = SkyCoord(\n",
" ra=table['ra'], \n",
" dec=table['dec'],\n",
" pm_ra_cosdec=table['pmra'],\n",
" pm_dec=table['pmdec'], \n",
" distance=8*u.kpc, \n",
" radial_velocity=0*u.km/u.s)\n",
"\n",
" transformed = skycoord.transform_to(GD1Koposov10)\n",
" gd1_coord = reflex_correct(transformed)\n",
"\n",
" df = table.to_pandas()\n",
" df['phi1'] = gd1_coord.phi1\n",
" df['phi2'] = gd1_coord.phi2\n",
" df['pm_phi1'] = gd1_coord.pm_phi1_cosphi2\n",
" df['pm_phi2'] = gd1_coord.pm_phi2\n",
" return df"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Here's how we can use this function:"
]
},
{
"cell_type": "code",
"execution_count": 95,
"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": 96,
"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."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"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)."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"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": 97,
"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": 98,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-rw-rw-r-- 1 downey downey 698K Dec 29 16:46 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": 99,
"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": 100,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-rw-rw-r-- 1 downey downey 1.4M Dec 29 16:46 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": 101,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
",source_id,ra,dec,pmra,pmdec,parallax,radial_velocity,phi1,phi2,pm_phi1,pm_phi2\r\n",
"0,635559124339440000,137.58671691646745,19.1965441084838,-3.770521900009566,-12.490481778113859,0.7913934419894347,,-59.63048941944402,-1.2164852515042963,-7.361362712597496,-0.592632882064492\r\n",
"1,635860218726658176,138.5187065217173,19.09233926905897,-5.941679495793577,-11.346409129876392,0.30745551377348623,,-59.247329893833296,-2.016078400820631,-7.527126084640531,1.7487794924176672\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": 41,
"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": 42,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>source_id</th>\n",
" <th>ra</th>\n",
" <th>dec</th>\n",
" <th>pmra</th>\n",
" <th>pmdec</th>\n",
" <th>parallax</th>\n",
" <th>radial_velocity</th>\n",
" <th>phi1</th>\n",
" <th>phi2</th>\n",
" <th>pm_phi1</th>\n",
" <th>pm_phi2</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>635559124339440000</td>\n",
" <td>137.586717</td>\n",
" <td>19.196544</td>\n",
" <td>-3.770522</td>\n",
" <td>-12.490482</td>\n",
" <td>0.791393</td>\n",
" <td>NaN</td>\n",
" <td>-59.630489</td>\n",
" <td>-1.216485</td>\n",
" <td>-7.361363</td>\n",
" <td>-0.592633</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>635860218726658176</td>\n",
" <td>138.518707</td>\n",
" <td>19.092339</td>\n",
" <td>-5.941679</td>\n",
" <td>-11.346409</td>\n",
" <td>0.307456</td>\n",
" <td>NaN</td>\n",
" <td>-59.247330</td>\n",
" <td>-2.016078</td>\n",
" <td>-7.527126</td>\n",
" <td>1.748779</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>635674126383965568</td>\n",
" <td>138.842874</td>\n",
" <td>19.031798</td>\n",
" <td>-3.897001</td>\n",
" <td>-12.702780</td>\n",
" <td>0.779463</td>\n",
" <td>NaN</td>\n",
" <td>-59.133391</td>\n",
" <td>-2.306901</td>\n",
" <td>-7.560608</td>\n",
" <td>-0.741800</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" source_id ra dec pmra pmdec parallax \\\n",
"0 635559124339440000 137.586717 19.196544 -3.770522 -12.490482 0.791393 \n",
"1 635860218726658176 138.518707 19.092339 -5.941679 -11.346409 0.307456 \n",
"2 635674126383965568 138.842874 19.031798 -3.897001 -12.702780 0.779463 \n",
"\n",
" radial_velocity phi1 phi2 pm_phi1 pm_phi2 \n",
"0 NaN -59.630489 -1.216485 -7.361363 -0.592633 \n",
"1 NaN -59.247330 -2.016078 -7.527126 1.748779 \n",
"2 NaN -59.133391 -2.306901 -7.560608 -0.741800 "
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"candidate_df.head(3)"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
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" Unnamed: 0 source_id ra dec pmra pmdec \\\n",
"0 0 635559124339440000 137.586717 19.196544 -3.770522 -12.490482 \n",
"1 1 635860218726658176 138.518707 19.092339 -5.941679 -11.346409 \n",
"2 2 635674126383965568 138.842874 19.031798 -3.897001 -12.702780 \n",
"\n",
" parallax radial_velocity phi1 phi2 pm_phi1 pm_phi2 \n",
"0 0.791393 NaN -59.630489 -1.216485 -7.361363 -0.592633 \n",
"1 0.307456 NaN -59.247330 -2.016078 -7.527126 1.748779 \n",
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"source": [
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},
{
"cell_type": "markdown",
"metadata": {},
"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."
]
},
{
"cell_type": "markdown",
"metadata": {},
"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."
]
},
{
"cell_type": "markdown",
"metadata": {},
"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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