diff --git a/GMC_identification.ipynb b/GMC_identification.ipynb new file mode 100644 index 0000000..b2cb2fb --- /dev/null +++ b/GMC_identification.ipynb @@ -0,0 +1,1825 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "ed442a32-91c1-41d1-88ad-047f53b10b85", + "metadata": {}, + "source": [ + "# Identifying and measuring the properties of Giant Molecular Clouds (GMCs)\n", + "\n", + "\n", + "## Authors ##\n", + "[Eric Koch](https://github.com/e-koch),\n", + "...\n", + "\n", + "## Learning Goals ##\n", + "\n", + "* Access and extract signal in spectral line data cubes\n", + "* Demonstrate and compare how cloud identification algorithms work\n", + "* Estimate the most common measurements made for GMCs\n", + "* Compare to catalogs available from the literature to place these GMCs in broader context of the known populations\n", + "\n", + "## Keywords ##\n", + "\n", + "radio astronomy, spectral-line data cubes, spectral fitting, spatial fitting\n", + "\n", + "## Summary ##\n", + "\n", + "Summary here, with description of the data.\n", + "\n", + "This tutorial builds off [example scripts](https://gist.github.com/low-sky/654819a7e5486f2c8acb6fdc5d638842) developed for Local Group and nearby galaxy studies from PHANGS written by Erik Rosolowsky.\n", + "\n", + "Code for the signal masking and moment calculations are described in depth in the [radio-astro-tools tutorial library](https://radio-astro-tools.github.io/tutorials/) under \"Signal-masking and calculating moment maps from spectral cube\".\n", + "\n", + "\n", + "## Requires ##\n", + "\n", + "```\n", + "pip install UPDATE HERE\n", + "```\n", + "\n", + "- spectral-cube\n", + "- astrodendro\n", + "- SCIMES\n", + "- astropy\n", + "- numpy\n", + "- scikit-image" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "f96b882f-7722-471f-97f9-a6d3bd4deff1", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Requirement already satisfied: 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sha256=5763e6a58aab2ad415b077eff927ff21a348304b86d2dae7780e94b3cf2f240e\n", + " Stored in directory: /private/var/folders/zq/1v3_7dn10sl0f6m5xqw37fvw0000gn/T/pip-ephem-wheel-cache-8pwqpgi5/wheels/be/17/8b/a1ecb3000b6dd99f5be48a243ee6d54f5be88ce620cffba080\n", + "Successfully built pycprops\n", + "Installing collected packages: pycprops\n", + " Attempting uninstall: pycprops\n", + " Found existing installation: pycprops 0.3.dev23+g35747c5.d20240708\n", + " Uninstalling pycprops-0.3.dev23+g35747c5.d20240708:\n", + " Successfully uninstalled pycprops-0.3.dev23+g35747c5.d20240708\n", + "Successfully installed pycprops-0.3.dev23+g35747c5.d20240805\n", + "Collecting git+https://github.com/e-koch/SCIMES.git@master\n", + " Cloning https://github.com/e-koch/SCIMES.git (to revision master) to /private/var/folders/zq/1v3_7dn10sl0f6m5xqw37fvw0000gn/T/pip-req-build-7wn3umhv\n", + " Running command git clone --filter=blob:none --quiet https://github.com/e-koch/SCIMES.git 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+ "Building wheels for collected packages: scimes\n", + " Building wheel for scimes (setup.py) ... \u001b[?25ldone\n", + "\u001b[?25h Created wheel for scimes: filename=scimes-0.3.2-py3-none-any.whl size=32962 sha256=fe68175322134eb357f1ba1fe94741f936fddaa5ecac49cfbc444f36e1fa6ebe\n", + " Stored in directory: /private/var/folders/zq/1v3_7dn10sl0f6m5xqw37fvw0000gn/T/pip-ephem-wheel-cache-ctkzxr86/wheels/48/a8/3e/23902bc1fd8841a248991a91b8484876ee9ebb21d21d04c54d\n", + "Successfully built scimes\n", + "Installing collected packages: scimes\n", + " Attempting uninstall: scimes\n", + " Found existing installation: scimes 0.3.2\n", + " Uninstalling scimes-0.3.2:\n", + " Successfully uninstalled scimes-0.3.2\n", + "Successfully installed scimes-0.3.2\n" + ] + } + ], + "source": [ + "## For installation on google co-lab\n", + "\n", + "!pip install numpy\n", + "!pip install scipy\n", + "!pip install astropy\n", + "!pip install spectral-cube\n", + "!pip install radio-beam\n", + "!pip install scikit-image\n", + "\n", + "# Install most recent dev versions of astrodendro, pycprops, and SCIMES\n", + "!pip install git+https://github.com/dendrograms/astrodendro.git@main\n", + "!pip install git+https://github.com/PhangsTeam/pycprops.git@master\n", + "\n", + "## NOTE: temp fix until the lastest PR is merged to the main branch\n", + "# !pip install git+https://github.com/Astroua/SCIMES.git@scimes\n", + "!pip install git+https://github.com/e-koch/SCIMES.git@master\n" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "39874f17-e093-480b-a8ba-125e9aafa9d5", + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline\n", + "\n", + "import matplotlib.pyplot as plt\n", + "\n", + "import numpy as np\n", + "\n", + "from astropy import units as u\n", + "from astropy.wcs import wcs\n", + "from astropy.io import fits\n", + "\n", + "import skimage.segmentation as seg\n", + "\n", + "\n", + "# All imports for relevant cloud identification algorithms.\n", + "# Each are imported in the relevant cells below; use the lines below to import all\n", + "# from astrodendro import Dendrogram, ppv_catalog\n", + "# from scimes import SpectralCloudstering\n", + "# from pycprops import cloudalyze\n" + ] + }, + { + "cell_type": "markdown", + "id": "86c09449-3027-4da7-bc73-ec2cca0319b4", + "metadata": {}, + "source": [ + "### Tutorial Dataset\n", + "\n", + "The data cube we use here is an SMA observations of the $^{12}$CO(2-1) emission in a nascent tidal dwarf galaxy (\"DF-E1\") near M82 that was identified in deep H$\\alpha$ mapping with the Dragonfly Telephoto Array ([Pasha+2021](https://ui.adsabs.harvard.edu/abs/2021ApJ...923L..21P/abstract)).\n", + "\n", + "The full set of observations is publicly accessible from the [SMA Data Archive](https://lweb.cfa.harvard.edu/sma-archive/) under project 2021B-S067.\n", + "\n" + ] + }, + { + "cell_type": "markdown", + "id": "0e19fdc7-e911-4fb3-8bfb-d22cd6874a4d", + "metadata": {}, + "source": [ + "## Loading and preparing the data\n", + "\n", + "This tutorial uses the [spectral-cube](https://spectral-cube.readthedocs.io/en/latest/) package to read and manipulate the CO data cube. You can find detailed tutorials using spectral-cube on the [radio-astro-tools](https://radio-astro-tools.github.io/tutorials/) site." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "id": "5c770157-9d68-48d2-b312-1dbe6d725e81", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "VaryingResolutionSpectralCube with shape=(69, 144, 144) and unit=Jy / beam:\n", + " n_x: 144 type_x: RA---SIN unit_x: deg range: 149.094257 deg: 149.174504 deg\n", + " n_y: 144 type_y: DEC--SIN unit_y: deg range: 69.698621 deg: 69.726427 deg\n", + " n_s: 69 type_s: VRAD unit_s: m / s range: 101453.231 m / s: 397912.263 m / s" + ] + }, + "execution_count": 5, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from spectral_cube import SpectralCube\n", + "\n", + "#####\n", + "# Final version of this tutorial will access this data set from the DataVerse\n", + "#####\n", + "# from astropy.utils.data import download_file\n", + "\n", + "# datafile = download_file(\n", + "# 'https://dataverse.harvard.edu/api/access/datafile/10359120',\n", + "# cache=True, show_progress=True)\n", + "\n", + "# TODO: remove hardcoded path in favour of download code above in final version\n", + "datafile = \"temp_data/DFE1_com_co21_5kms_natural_pbcorr.image.fits\"\n", + "\n", + "cube = SpectralCube.read(datafile)\n", + "\n", + "cube" + ] + }, + { + "cell_type": "markdown", + "id": "9d74f40d-b5d8-482e-98d8-7c70be603fc7", + "metadata": {}, + "source": [ + "To simplify the GMC identification and analysis, we need to apply 2 preprocessing steps to this data cube.\n", + "\n", + "1. Convolve to a common, circular beam: From the summary above, a `VaryingResolutionSpectralCube` means that the beam of the data varies across frequency/velocity channels. We will convolve the cube to have a common beam across channels, and circularize the beam\n", + " \n", + "2. Convert from flux density to brightness temperature: The cube currently has units of `Jy/beam`, or a specific flux density. It is convenient to instead use brightness temperature units (using the Rayleigh-Jeans approximation) for resolved structure." + ] + }, + { + "cell_type": "markdown", + "id": "67d46e59-f173-437e-8a30-81f8d2b49877", + "metadata": {}, + "source": [ + "### Convolve to a circular, common beam size\n", + "\n", + "The largest beam size in the cube is:" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "5f34b568-52c7-4f71-8f95-34dc66650c6b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "Beam: BMAJ=$4.380295753479004^{''}$ BMIN=$2.885484218597412^{''}$ BPA=$-48.6453857421875^\\circ$" + ], + "text/plain": [ + "Beam: BMAJ=4.380295753479004 arcsec BMIN=2.885484218597412 arcsec BPA=-48.6453857421875 deg" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cube.beams.largest_beam()" + ] + }, + { + "cell_type": "markdown", + "id": "a8478f88-8048-45d4-9610-2a8af0a172c3", + "metadata": {}, + "source": [ + "In this case, we will define the target resolution to be a beam with a FWHM of $4.^{''}5$, slightly larger than the current largest beam. Since we want a circular beam, we do _not_ need to specify the minor axis or position angle." + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "cd1bb70d-5f70-499e-a8ef-2ec8072609a0", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING: PossiblySlowWarning: This function () requires loading the entire cube into memory and may therefore be slow. [spectral_cube.utils]\n" + ] + } + ], + "source": [ + "from radio_beam import Beam\n", + "\n", + "circ_beam = Beam(4.5*u.arcsec)\n", + "\n", + "cube = cube.convolve_to(circ_beam)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "d5e7dfa4-6845-40a1-8c9c-89927be7a1fb", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "Beam: BMAJ=$4.5^{''}$ BMIN=$4.5^{''}$ BPA=$0.0^\\circ$" + ], + "text/plain": [ + "Beam: BMAJ=4.5 arcsec BMIN=4.5 arcsec BPA=0.0 deg" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cube.beam" + ] + }, + { + "cell_type": "markdown", + "id": "8984d91a-8a8c-40fa-8430-d0714f62e2d2", + "metadata": {}, + "source": [ + "### Convert to brightness temperature units\n", + "\n", + "For extended emission, it is convenient to convert the specific flux density (Jy/beam) into a surface brightness temperature (K) using the Rayleigh-Jeans approximation. See [Essential Radio Astronomy](https://www.cv.nrao.edu/~sransom/web/Ch2.html) for further information.\n", + "\n", + "spectral-cube handles the frequency and beam dependence of the data, so we only need to call `.to(u.K)`:" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "069ab1ea-5bb0-4d20-92a3-f4d5f0f7ea6f", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING: PossiblySlowWarning: This function () requires loading the entire cube into memory and may therefore be slow. [spectral_cube.utils]\n" + ] + }, + { + "data": { + "text/plain": [ + "SpectralCube with shape=(69, 144, 144) and unit=K:\n", + " n_x: 144 type_x: RA---SIN unit_x: deg range: 149.094257 deg: 149.174504 deg\n", + " n_y: 144 type_y: DEC--SIN unit_y: deg range: 69.698621 deg: 69.726427 deg\n", + " n_s: 69 type_s: VRAD unit_s: m / s range: 101453.231 m / s: 397912.263 m / s" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cube = cube.to(u.K)\n", + "\n", + "cube" + ] + }, + { + "cell_type": "markdown", + "id": "7489750f-3d89-4ae4-8d0e-b594a9de6237", + "metadata": {}, + "source": [ + "And for convenience, we will convert the spectral axis to km/s:" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "d689c73a-7dfe-408f-9689-e08f0b698fa2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "SpectralCube with shape=(69, 144, 144) and unit=K:\n", + " n_x: 144 type_x: RA---SIN unit_x: deg range: 149.094257 deg: 149.174504 deg\n", + " n_y: 144 type_y: DEC--SIN unit_y: deg range: 69.698621 deg: 69.726427 deg\n", + " n_s: 69 type_s: VRAD unit_s: km / s range: 101.453 km / s: 397.912 km / s" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cube = cube.with_spectral_unit(u.km / u.s)\n", + "\n", + "cube" + ] + }, + { + "cell_type": "markdown", + "id": "70e218a3-3718-4696-b4e0-097f43c28bbf", + "metadata": {}, + "source": [ + "### Quicklook at the data\n", + "\n", + "To get an initial sense of what is in these data, we will make 2 \"quicklook\" images of the peak temperature (maximum along the spectal axis) and extract a representative spectrum at a location where we see emission in the peak temperature map.\n", + "\n", + "To make the peak temperature map, we find the maximum along the spectral (`axis=0`) dimension:" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "74e9bf95-b1f4-4a88-9638-01bbf106c216", + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "WARNING: PossiblySlowWarning: This function () requires loading the entire cube into memory and may therefore be slow. [spectral_cube.utils]\n", + "/Users/ekoch/Library/CloudStorage/Dropbox/code_development/radio_astro_tools/spectral-cube/spectral_cube/spectral_cube.py:439: RuntimeWarning: All-NaN slice encountered\n", + " out = function(self._get_filled_data(fill=fill,\n" + ] + }, + { + "data": { + "text/plain": [ + "[]" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "tpeak = cube.max(axis=0)\n", + "\n", + "plt.figure(figsize=(12, 12))\n", + "plt.imshow(tpeak.value, origin='lower')\n", + "\n", + "# Add a symbol at the location of the spectrum shown below\n", + "plt.plot(90, 70, 'cD')" + ] + }, + { + "cell_type": "markdown", + "id": "26c218aa-3157-42b4-a33e-eb2b62149686", + "metadata": {}, + "source": [ + "There are several bright \"blobs\" towards the center of the field (as well as along the edge; we will come back to this in the signal identification section below). Recall that each pixel has an associated spectrum. To visualize this we select the pixel at `70, 90` in (y, x), shown with the cyan marker, and plot this spectrum. (Note that the axes are in pixel units.)\n", + "\n", + "To extract a single spectrum, we treat the cube like a numpy array by slicing out a single 1D array from the 3D structure \n", + "\n", + "**_NOTE:_** the axes are consistently in order of (spectral, declination, right ascension) for WCS coordinates defined with N in the +y direction.*" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "df906dba-8547-4a65-8618-398703371b5e", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 0, 'Velocity (km / s)')" + ] + }, + "execution_count": 18, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ypix, xpix = 70, 90\n", + "\n", + "# The axis order is: velocity, y=declination, x=right ascension\n", + "spec = cube[:, ypix, xpix]\n", + "\n", + "plt.plot(spec.spectral_axis.value,\n", + " spec.value, drawstyle='steps-mid')\n", + "\n", + "plt.ylabel(f'Brightness temperature ({spec.unit})')\n", + "plt.xlabel(f\"Velocity ({spec.spectral_axis.unit})\")" + ] + }, + { + "cell_type": "markdown", + "id": "5033bfd6-b54d-41ef-b002-294865e732bd", + "metadata": {}, + "source": [ + "There is a clear detection with a Gaussian-like shape! This is the signal we want to separate from the noise only component in the data.\n", + "\n", + "To do this, we will use morphological operators to create a boolean mask defining where the CO emission is located." + ] + }, + { + "cell_type": "markdown", + "id": "fe178250-4b02-41fa-8fcf-6956146b3225", + "metadata": {}, + "source": [ + "### Making the signal mask\n", + "\n", + "As the plots above show, we only expect a few regions, isolated in velocity, to be \"real\" emission. The remaining parts of the field are dominated by noise.\n", + "\n", + "To separate the regions with and without signal, we will use a standard masking routine often used with spectral line data cubes. \n", + "\n", + "**NOTE** The code for the signal masking and moment calculations are described in depth in the [radio-astro-tools tutorial library](https://radio-astro-tools.github.io/tutorials/) under \"Signal-masking and calculating moment maps from spectral cube\". See that tutorial for further details.\n", + "\n", + "\n", + "First, we need to estimate how the noise varies spatially across the map:" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "83358050-ccca-45be-8d93-bc963eee437e", + "metadata": {}, + "outputs": [], + "source": [ + "cube_sclip = cube.sigma_clip_spectrally(3) # Clip and mask values above 3-sigma\n", + "\n", + "mad_std_map_sclip = cube_sclip.mad_std(axis=0) # Calculate sigma along the spectral dimension\n", + "\n", + "# The warnings that pop up are OK to ignore." + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "3fcb7d60-4359-48a4-8456-dd71026f5b04", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plt.figure(figsize=(12, 12))\n", + "\n", + "plt.imshow(mad_std_map_sclip.value, origin='lower')" + ] + }, + { + "cell_type": "markdown", + "id": "13b1085a-fa64-4ab8-8126-c4aef56064f5", + "metadata": {}, + "source": [ + "Here we can see our expected noise behaviour: the noise level grows with the distance away from the center of the telescope pointing, following an approximately 2D Gaussian response function.\n", + "\n", + "We will use this noise map to create a signal mask of the 12CO emission.\n", + "\n", + "We will also use this when estimating the uncertainties in the cloud properties, and so we will save this noise map in another FITS file. Assuming the noise is constant along the velocity axis, we will expand the 2D noise map from above into the original 3D for use with the pycprops algorithm:" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "24f13acb-2d88-4653-a9bc-272dfd4fca3d", + "metadata": {}, + "outputs": [], + "source": [ + "noise_cube_hdu = fits.PrimaryHDU(np.tile(mad_std_map_sclip.value, (cube.shape[0], 1, 1)),\n", + " cube.header)\n", + "\n", + "noise_filename = \"temp_data/DFE1_com_co21_5kms_natural_pbcorr.image.K.noise.fits\"\n", + "noise_cube_hdu.writeto(noise_filename, overwrite=True)\n" + ] + }, + { + "cell_type": "markdown", + "id": "2f817e45-3798-4f72-aac8-9838032837b5", + "metadata": {}, + "source": [ + "In this example, we will use one of the most common signal identification techniques outlined in [Rosolowsky & Leroy (2006)](https://ui.adsabs.harvard.edu/abs/2006PASP..118..590R/abstract) (amongst others).\n", + "\n", + "This technique defines two initial masks:\n", + "\n", + "1. A low signal mask that includes more signal but is affected by spurious noise. Here we use $>3\\sigma$.\n", + "2. A high signal mask that includes less signal but is not less affected by noise. Here we use $>6\\sigma$.\n", + "\n", + "The goal is to identify connected regions in the low signal mask that are also in the high signal mask, and remove those that are only in the low signal mask as those are more likely to be spurious peaks in the noise." + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "8fc10a15-6e73-4a17-ae7b-61a9798891b8", + "metadata": {}, + "outputs": [], + "source": [ + "# Make a low and high mask\n", + "# The \".include()\" returns a 3D boolean mask.\n", + "low_snr_mask = (cube > 3 * mad_std_map_sclip).include()\n", + "high_snr_mask = (cube > 5 * mad_std_map_sclip).include()" + ] + }, + { + "cell_type": "markdown", + "id": "9a36618c-ccef-457f-a055-c7b579b0f61d", + "metadata": {}, + "source": [ + "Here we have defined an \"inclusion\" mask, meaning `True` in the mask are pixels we are interested in operating on. With spectral-cube's masks, the inclusion mask is returned as an array using `.include()`.\n", + "\n", + "Next, we will label connected regions in `low_snr_mask` and label them. `low_snr_mask` and `high_snr_mask` are both dask arrays. We define regions as connected as 26-connected, meaning all edge and corner connections are included in 3D. The equivalent in 2D is 8-connected and would have a structure element like:\n", + "\n", + "```\n", + "[1, 1, 1]\n", + "[1, 1, 1]\n", + "[1, 1, 1]\n", + "```\n", + "\n", + "In this example, we will use the [scipy.ndimage](https://docs.scipy.org/doc/scipy/reference/ndimage.html) package that provides morphological operations for numpy arrays." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "c51617df-5726-4d23-bf3b-27272248e55b", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Initial number of regions found: 347\n" + ] + } + ], + "source": [ + "import scipy.ndimage as nd\n", + "\n", + "structure = np.ones((3, 3, 3), dtype=bool)\n", + "\n", + "low_snr_mask_labels, num_labels = nd.label(low_snr_mask,\n", + " structure=structure)\n", + "\n", + "print(f\"Initial number of regions found: {num_labels}\")" + ] + }, + { + "cell_type": "markdown", + "id": "56f06beb-9a44-4d6e-b824-dcc94b6f758a", + "metadata": {}, + "source": [ + "That's a LOT of regions. Far more than is suggested compared to the Tpeak map above. We only expect a few real regions of signal based on the peak intensity map from above.\n", + "\n", + "Most of the regions are small, spurious regions due to noise. To remove these, we will apply 2 criteria:\n", + "\n", + "1. All regions in `low_snr_mask` must contain $>5$ pixels above $6\\sigma$ (the `high_snr_mask`). To do this, we calculate the sum of `high_snr_mask` within the `low_snr_mask_labels`.\n", + "2. Regions in `low_snr_mask` must contain $>40$ pixels. Similarly, we calculate the sum of `low_snr_mask` within the `low_snr_mask_labels`.\n", + "\n", + "Regions that do not satisfy these criteria are removed from the mask.\n", + "\n", + "The exact number of pixels for each criteria are approximate only and determined by checking different thresholds. A good rule-of-thumb is for regions in `low_snr_mask` to be greater than the number of pixels in the beam. $30$ pixels is approximately the number of pixels within the FWHM of the beam for these data based on the size of the beam, and so is the minimum number we expect for real signal within 1 spectral channel." + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "2858db52-9521-4ac3-907e-cf29520a2619", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "46" + ] + }, + "execution_count": 17, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Number of pixels per beam\n", + "ppb = cube.pixels_per_beam\n", + "\n", + "int(ppb)" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "19070518-6b30-4ac1-a8f0-7ffc9f304d2e", + "metadata": {}, + "outputs": [], + "source": [ + "num_pixels_in_high_snr_mask = nd.sum(high_snr_mask,\n", + " labels=low_snr_mask_labels,\n", + " index=range(1, num_labels + 1)) # +1 offset for mask labels\n", + "\n", + "# Repeat for the high signal mask.\n", + "num_pixels_in_low_snr_mask = nd.sum(low_snr_mask,\n", + " labels=low_snr_mask_labels,\n", + " index=range(1, num_labels + 1)) # +1 offset for mask labels\n", + "\n", + "# To preserve the low_snr_mask, we will create a new signal mask where we will remove\n", + "# regions that do not pass the criteria.\n", + "signal_mask = low_snr_mask\n", + "\n", + "low_min_pixels = int(ppb)\n", + "high_min_pixels = 10\n", + "\n", + "for num, (high_pix_num, low_pix_num) in enumerate(zip(num_pixels_in_high_snr_mask, num_pixels_in_low_snr_mask)):\n", + " if high_pix_num >= high_min_pixels and low_pix_num >= low_min_pixels:\n", + " # This region passes the criteria. Keep it in the mask.\n", + " continue\n", + "\n", + " # Remove regions that do not pass the criteria.\n", + " # NOTE: enumerate will start with 0, but the mask labels start at 1\n", + " # We apply a +1 offset to `num` to account for this.\n", + " signal_mask[low_snr_mask_labels == num + 1] = False" + ] + }, + { + "cell_type": "markdown", + "id": "0bac1ca3-2903-4523-b8e9-1921c6500da4", + "metadata": {}, + "source": [ + "To find the final number of regions containing real signal, we will label the final `signal_mask`." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "93b71ef6-c434-40a4-a7d8-9711fb122339", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Final number of regions found: 3\n" + ] + } + ], + "source": [ + "signal_mask_labels, num_labels = nd.label(signal_mask,\n", + " structure=structure)\n", + "\n", + "print(f\"Final number of regions found: {num_labels}\")" + ] + }, + { + "cell_type": "markdown", + "id": "fedab9e8-d083-45b8-85b1-1943d58172e7", + "metadata": {}, + "source": [ + "Nearly every region we initially found was likely spurious, and only a few regions remain.\n", + "\n", + "Before examining this new signal mask, we can apply an additional step to improve the recovery of faint emission near bright signal. Because we have imposed at $>3\\sigma$ criterion in the low signal mask, some faint emission adjacent to the signal will be excluded and we will underestimate properties like the integrated intensity.\n", + "\n", + "One simple way to correct for this is to extend the signal mask immediately around our remaining regions. We can extend the mask by one pixel in each dimension using [binary dilation](https://en.wikipedia.org/wiki/Dilation_%28morphology%29) to superimpose a structure element around every pixel included in the mask." + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "694270d4-ee9a-4d03-94e3-6ea0262df6e6", + "metadata": {}, + "outputs": [], + "source": [ + "# Use a structure that will increase the mask size by 1 pixel in each direction.\n", + "# Because we are applying it to the 3D cube, we need its size to be (3, 3, 3):\n", + "\n", + "# In the spatial dimension, expand by 1 pixel in each direction.\n", + "# The structure looks like:\n", + "# [1, 1, 1]\n", + "# [1, 1, 1]\n", + "# [1, 1, 1]\n", + "structure = np.ones((3, 3), dtype=bool)\n", + "\n", + "# In the spectral dimension, only expand the original pixel along the spectral dimension.\n", + "# The structure looks like:\n", + "# [0, 0, 0]\n", + "# [0, 1, 0]\n", + "# [0, 0, 0]\n", + "\n", + "structure_spec = np.zeros((3, 3), dtype=bool)\n", + "structure_spec[1, 1] = True\n", + "\n", + "# Add 1 spectral element on each side of the spatial structure.\n", + "# np.dstack stacks the arrays along a new 3rd dimension:\n", + "structure = np.swapaxes(np.dstack([structure_spec, structure, structure_spec]), 2, 0)\n", + "\n", + "signal_mask = nd.binary_dilation(signal_mask, structure=structure, iterations=2)\n", + "\n", + "signal_mask_labels, num_labels = nd.label(signal_mask,\n", + " structure=structure)" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "737ab67b-315a-40cb-bb2e-7dad900ecc2c", + "metadata": {}, + "outputs": [], + "source": [ + "masked_cube = cube.with_mask(signal_mask)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "id": "04c58908-d44f-4e41-a9f7-f1aefd96f7da", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 22, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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LsY7xL3/5S/zmN7/Bxz/+8QlsrcPhmEhMh3llssDntw0Pn98mKSaacTmmD573vOd1b7rppu4BBxzQffnLX9695ppr4t8WL17cPeWUU7r77LNPd++99+4ef/zx8WrbRRdd1N1zzz27++23X/eWW27pvuhFL+pZiVuyZEm32+12f/nLX3b33Xff7iOPPNK3Lddcc033ve997zPuy69//evuSSed1N177727u+22W/fQQw/t3nzzzd1Op/OMy3QkMZYxPuaYY7r33HPPBLbS4XBMJKbTvDJZ4PPbhofPb5MPmW53A6eKcswYrMvO1Q6Hw+FwjAafVxwOx3jAkxY4HA6Hw+FwOByOaQsnPA6Hw+FwOBwOh2Pawl3aHA6Hw+FwOBwOx7SFKzwOh8PhcDgcDodj2mJKpKV++umn8dBDD2G77bZDqVSa6OY4HA7HjEEURVi8eDFe8YpXYO7cuRPdnEkFn5scDodjYrCuc9OUIDwPPfQQFixYMNHNcDgcjhmLSy+9FG94wxsmuhmTCj43ORwOx8RirHPTlCA82223HYDhTj3nOc+Z4NY4HA7HzMGiRYuwYMGC+DnsGIHPTQ6HwzExWNe5aUoQHroKPOc5z8ELX/jCCW6Nw+FwzDy4y1YvfG5yOByOicVY5yZPWuBwOBwOh8PhcDimLZzwOBwOh8PhcDgcjmmLZ0R4PvWpT+Hf//3fe76///778aIXvSjx3fXXX4/Xvva1eM1rXoPzzz8fzWbzmbXU4XA4HI4+8LnJ4XA4HCGsE+FZvHgxTjvtNNx44409vy1atAgXXXQROp1O/N2DDz6I22+/Hbfddhvuu+8+PP3008FzHQ6Hw+F4pvC5yeFwOBz9sE6EZ+HChdh3331x3HHHJb5fu3YtFixY0LOydv/99+PQQw/F7NmzkcvlcMwxx+Cuu+5a/1Y7HA6Hw/EP+NzkcDgcjn5YpyxtZ555JgDgiiuuSHz/gQ98AG9/+9vxvOc9L/H9kiVLsMcee8R/b7XVVliyZElq+cuWLcPy5ct7vl+0aNG6NNPhcDgcMwg+NzkcjumETqeDbrc70c3Y6MhkMvFrvLHeaamvueYabLHFFjjiiCOwePHint9to/t1YuHChbjyyivXt0kOh8PhmOHwucnhcEw1rFixAsuXL0e73Z7opkwYstksSqUS5s2bh4GBgXErd70Jz1133YVCoYAjjjgCzWYT7XYbRxxxBK644gpss802WLp0aXzs0qVLsc0226SWdfTRR+Oggw7q+Z6bCzkcDofDMRb43ORwOKYSVqxYgWXLlmHbbbdFuVzeICrHVECr1cKaNWvwxBNPYMstt8TcuXPHpdz1Jjz33Xdf/Hnx4sU45JBDcPfddwMAXvOa1+CSSy7Bsccei8HBQdx666045JBDUsuaN28e5s2bt75NcjgcDscMh89NDodjKmH58uXYdtttMTg4ONFNmVDkcjmUSiWUSiU89dRTmDNnzriQv/UmPP2w//77Y9GiRTjmmGPQarWw55574pRTTtmQVTocDofD0Rc+NzkcjsmETqeDdruNcrk80U2ZNBgYGECr1UK32504wvPud787+P12222HX//614nvjjvuuJ7MOQ6Hw+FwjDd8bnI4HFMRTFAwU93Y+mG8kjc8o41HHQ6Hw+FwOBwOh2MqwAmPw+FwOBwOh8PhmLZwwuNwOBwOh8PhcDg2OJ566im89KUvxSOPPLJR63XC43A4HA6Hw+FwODYolixZguOPPx5r1qzZ6HU74XE4HA6Hw+FwOBwbBJ1OB3feeSeOPPJI/P3vf5+QNjjhcTgcDofD4XA4HBsEv/3tb3HeeefhyCOPxCWXXDIhbdig+/A4HA6Hw+FwOByOZ4gfXwb85LKJbgWw1xnAS894RqduvfXWuP/++7HVVltt9NgdwgmPw+FwOBwOh8MxGdFYDax9cqJbMdyOZ4jNNtts/NrxDOGEx+FwOBwOh8PhmIwobgIMbjvRrRhuxxSGEx6Hw+FwOBwOh2My4qXP3JXMMQJPWuBwOBwOh8PhcDimLZzwOBwOh8PhcDgcjmkLJzwOh8PhcDgcDodj2sIJj8PhcDgcDofD4Zi28KQFDofD4XA4HA6HY4Njn332wW9/+9uNXq8rPA6Hw+FwOBwOh2PawgmPw+FwOBwOh8PhmLZwwuNwOBwOh8PhcDimLZzwOBwOh8PhcDgcjmkLJzwOh8PhcDgcDodj2sIJj8PhcDgcDofD4Zi2cMLjcDgcDofD4XA4pi2c8DgcDofD4XA4HI5pCyc8DofD4XA4HA6HY9rCCY/D4XA4HA6Hw+GYtshPdAMcDofD4XA4HA7H9EOn08HChQvxxS9+EYsXL8bcuXPx6le/Gu95z3swODi40drhhMfhcDgcDofD4XCMO6677jp86lOfwgknnICXv/zl+OMf/4jLL78cjz/+OG644QZkMpmN0g4nPA6Hw+FwOBwOh2Nc0el08NnPfhZHH300zjzzTADAvvvuizlz5uC9730vHnvsMey2224bpS0ew+NwOBwOh8PhcDjGFWvXrsURRxyBww47LPH9TjvtBAB44oknNlpbXOFxOBwOh8PhcDgc44pNNtkE55xzTs/3DzzwAADguc997kZrixMeh8PhcDgcDodjEuILS7+AW5bdMtHNwLHzjsVb5r9lvcv5+c9/jmuvvRavetWr8LznPW8cWjY2OOFxOBwOh8PhcDgmIYbaQ1jWXDbRzcBQe2i9y/jJT36Cd73rXdhuu+3wsY99bBxaNXY44XE4HA6Hw+FwOCYhZuVmYV5h3kQ3A7Nys9br/K997Ws4++yzscMOO+C6667DnDlzxqllY4MTHofD4XA4HA6HYxLiLfPfMi6uZBOJ66+/Hpdeein23ntvfPrTn8bs2bM3ehs8S5vD4XA4HA6Hw+EYd9x666245JJL8LrXvQ7XXXfdhJAdwBUeh8PhcDgcDofDMc5Yvnw5Pvaxj2HbbbfFsccei1//+teJ37fffnvMnTt3o7TFCY/D4XA4HA6Hw+EYVzz44IOo1+t48sknceyxx/b8/rGPfQz//M//vFHa4oTH4XA4HA6Hw+FwjCve9KY34U1vetNENwOAEx6HY8y499570Ww20W63sXbtWkRRhGaziSiK0Ol0EEURut0uBgYGMHv2bGQyGWQyGQDA0NAQhoaGkMlkkM/nkclk0O12AQDdbhftdhsA4uP5fSaTQbFYxBlnnLHxO+xwOBwOh8MxDeCEx+EYI55++ml0Oh10Oh1Uq1U0m83471arhaGhIURRhEajgVarhWw2i1wuh0wmg0ajgU6ng2w2G7+63W5MdlqtFjqdTlwXv8tmsyiXyxPYa4fD4XA4HI6pjWdEeD71qU9h+fLl+MhHPgIAuPLKK/H1r38d2WwWm2++Oc477zzsuOOO6HQ6uPTSS/Hf//3faLfbOPLII3HaaaclVrEdjonAggUL0Gw20Wg0UCwWMXfuXJRKJVQqFZTLZWQyGWSzySSG3W43QXBarVYPaWGZjUYjVnOy2Sza7Xas6BBWzWH5ANBqtdBut9HpdNBut/HRj34UzWYT9XodnU4H9Xod7XYbxWIRxWIRhUIBg4ODyOfzGBgYQKVSwTve8Y4NPo4Ox2SCz00Oh8PhCGGdCM/ixYvxsY99DA899BAOO+wwAMA999yDb3/727jtttswMDCAL3zhCzjrrLNw22234dZbb8Vjjz2Ge+65B51OB8cddxx23HFHHHrooRukMw7HWKEuaYVCIXYdmzVrFiqVCgDEBEVJC1Wder2eUHHa7Tbq9ToajQa63S6azWb8WzabRaFQQKFQAIDY1U0JEIlUs9lEq9VK1F+tVpHJZBL107Uuk8kgl8vFx+Xz+YSLnMMxE+Bzk8PhcDj6YZ0Iz8KFC7Hvvvti5513xvLlywEAz372s3HOOedgYGAAALD77rvjqquuAgDcf//9OOqoo1AsFgEMBy/dddddPqk4Jhy1Wg1RFCGKIuTzw/8GxWIR7XY7VmNIPMrlMvL5PFqtFmq1Whyv02q1kM/nUSqV0Ol0YmWHSozG68yePTuuR6EryiQyjUYj4fZGd7hOpxMrQSRWJFskR81mcyOMnsMxueBzk8PhcDj6YZ0Iz5lnngkAuOKKK+Lvdt999/hzFEW49NJL8frXvx4AsGTJEmy11Vbx71tttRWWLFmSWv6yZcviyUqxaNGidWmmwwEAOP/882OiEEURqtUq2u02arVawmWMbmMkKyQTJBGtVitWWEJxN3RFozrD8+gSR1JCRYZuazyObVBXOapDrF9d3thetoOfWV+r1UK9Xsd//Md/oNFooN1uY82aNRgaGoqJWTabxWabbYYrr7xyo14Th2NDwOcmh8PhcPTDuCUtWLZsGd7znvdg7ty5OOusswCMZJlS2LgIxcKFC90Ac4wboiiKP5MQkNiQCJAsVKvV+N5UVzPevyQXSm7q9XqCtFD1IXHJ5/MYHByM3dmKxWKsyuRyuYQqQ6LTaDRQr9eRy+VQKBRipUnrZv0kTurWRnKVzWZjctPpdLB27do47ofKFVe3HY7pDJ+bHA6HwzEuhOfnP/85Tj/9dBxxxBE444wz4olj2223xdKlS+Pjli5diq233jq1nKOPPhoHHXRQz/eLFi3CggULxqOpjmmGc889NyYZzWYzNmToSpbNZnsMGyUO/KwqTrPZjM8hSaIaZM+1LnCq0gCIyQePA5DIxsa/Vbnhcfw/snWrMsUXlSNL0KyKZY8/5ZRTUCgUUCqVYlUpl8vFqbVPP/30DXfxHI4NDJ+bHA6HwwGMA+H51a9+heOPPx4XXHBBj//za17zGtx555147Wtfi06ngzvuuANvfOMbU8uaN28e5s2bt75Ncswg0E1MFQ1FqVSKEwRQUcnlcnFMDo9nVjVbpiYrIEgagGF1hq5i1kUNGE4kwNTUAGLVRrPA0QWt1WohiqJY4WEZVGmsmx2TI7AsVY+oIGm7CJbDjG/5fD4up1gsxiQxFHPkcEwV+NzkcDgcDmK9LZorrrgCnU4H1157La699tr4+7vvvhtvfvObsXjxYrzxjW9Es9nEwQcfjKOOOmp9q3Q4YrTb7ZhQqIqhWcpIMjS2JhQfw9/4zuxsJEyaXY0qSbvdRrVa7SExSlYymQwKhUJMYnR/HvaBLnaMI1IViBnZFEq4AMTZ4OgK1w/sK4kUM7uxPblcDo1GI+ES6HBMNfjc5HA4HA7iGRGed7/73fHnz3zmM6nH5XI5LFiwwCV/x7jglFNOibOkVSoVFItF5HI5lEolACN++SQOVqWgm1ea6gEgdosjcSDBocsblRPG1ZCIkNSQ8Fg3Osb80NWN6hHby3ggu78Pz6XqFIo7IAGLoigmVTyX7SeBs658jDtSwpbP5xFFEQqFAs4777yYTFWrVdTrdVx22WXjcj0djvGGz00Oh8Mx+dDpdHDjjTdi4cKFeOqpp7DDDjvgxBNPxBve8IaN1gb3WXFMGaiB3mq14kQAwIhhDwwrJkNDQ/F3PIZub9Y9jGUDw+mq2+028vk8yuUystks6vV6rPaQQFmFJZvNolgsxrFDujdPp9NBrVaLy2GWNBIJxv3w+GazmXCh4288XpUkftbscKVSKY4d0vaUy+WYOLXb7TiRAdtE1YuKGNUolmHb5XA4HA6HwzEa/vM//xPXX3893vOe92C33XbDgw8+iAULFiCbzcZ7p21oOOFxTEp86EMfihURxtBoTIoqK0zjrESGhITubRrHoy8LzYZGVYckiWoKVRZNbKCKjbrCURHSNrdarfh7VZA0qYC2jefpd3qu9lWTFeg52hZ1zdO+8h1AHAfEcc1ms3E2uVNPPTVWswYHBzEwMIAPfOAD43TlHQ6Hw+FwTBfUajXcdNNNeOtb34qTTjoJAPDyl78cv/rVr3DzzTc74XHMbBSLRaxduzaObdFUzFR62u02SqVS7IJGgz+KoliJIGnSwH7Grui+OmrYM3Wz3Y+nUCigUqkgl8uhWCyiWCwmAv0LhQLy+Xz8IhFhUoIoiuI6SIhIqDQJge6xw3o1gxowQswAxH0nKeTvjBtSZYhjpQkWWJfG8NTr9Tjhg57b6XRQLBaxySabJNz7HA6Hw+FwOCyKxSL+67/+C5tvvnni+0KhgDVr1my0djjhcUw4PvGJT2BgYCCOHaF7laZptq5oukEoUyoTGvTPzyQZAIJKimZ6A5DYw4bqBwkOCY1Nga2JA0h4SIZIvNh2TZetddhNRQEkUmwrydDx0HTZGudj+6dEi3Vb2I1S0/Yn0UQR5513XtwOtu3iiy9+5jeFw+FwOByOKY9cLofnP//5AIZtkr///e+488478YMf/AAXXHDBRmuHEx7HhKNWq8WxIjYZAJDc9FOVGBr/tVotYcQztTMwbNAzIxqPZ1lp2c+0LgCxqqKua3wpoSB50LbZ76wbGvsXgrqt8aVudITdJ4jtp7uflsf4JxKjUqkUt4XnMlZH45by+XysapVKJeTz+Zjg8TwSULbF4XA4HA7H+uGbP6vh/p/XJ7oZeM2LyzjkJZX1KuOrX/0qzjzzTADAgQce6EkLHDML1WoVABIZ1Wgw0+CnEU0DXAPrVRLNZrMJwkM1hca5lq0bhJJIkAwASJxDAkRiZZUSAH1VkVDKavuZ9YTe9Ti7oapmdbNkkW5ubL+SI01fzXPXrFmT2JMon89jYGAg3px0YGAgJj5UnkikqtVqwk3Q4XA4HA7H+qHe6GLl0MTPqfXG+rdh9913xxe+8AX89re/xX/+53/ixBNPxM0339yTgXZDwAmPY6NiwYIFwdTKVmmxLl4kJjbDmh6j59r0z6qOAOghB/3ctvq5dWl5bJu6z5GM2P5pX7RdWg9JDkkU+6pppW1/+Fn7Z13YdPxUiQqRNHWFU5Kl9fJ81sfvTj755Di1d7vdxlVXXdV3DB0Oh8PhcCRRLmaw2awNTwjG0o71xfbbb4/tt98eL3vZyzA4OIj3v//9+PGPf4yXvexl49DC/nDC49ioUIKh7l7VajXh7tVsNrF27do4eUCj0QAwQnCYMazVaiGKojhZAQ1vJi2gWmH35AGSJEHTPGvwPt/1fCU3avDXarU4XTbVE5uhjXVwLBqNRqxYsT4dJ3VDUyKnCpBVgXgc3dL4KhQKMXlUYqZtZOwRU37n83nMmjUrVng0DkqvRxRFqFarifgk9kld/xwOh8PhcIwdh7ykst6uZBOJp59+Gt/97nfxyle+MpG4YNdddwUALFu2bKO0wwmPY4Ph8ssvx+rVq+OAfRITjXexMR/8m7E8NN41XbSqOhq3QiNfy9OEBRpvw7qs65glNkqW1CVNyY4G6zN7XEjRUTXHKjbqIqeEyKbhDsGSCY4ZU0nbPivJsymqNZ02CQuzz5H46dhpOmsde7oR6niddNJJMYH9whe+MOr943A4HA6HY2qjXq/j/e9/P8444wycfPLJ8fff//73AQC77LLLRmmHEx7HBgMN61wulyAuqmTQWKehrS5sNKAbjUa8gaeSHyUBuvGnde8C0KPwaHA/f2c5VjGhQsIUzxq3om5nVJ2oToVIg7aDcUg6Huo2VigUerLTqcKjShP7wE1IlfBYlzWbSEGhaaw19omKHDPoVavV2BWR39fr9ThrnsY/6R5J7I/D4XA4HI7pj2222QZHHXUUPv3pTyOfz2PXXXfFj3/8Y1x77bV405vehOc+97kbpR1OeBwbDDS6SRKYIlo3AmW2MB6jhIckotFoxO5iNKoJ3QeH76oWKcki0VDlhG0ERtzaWD5JU6lUQqlUShyje+dom9nGWq2GXC6H2bNnx6QnjfCoqsPfOS5039MYHJvGmmVwDNX1jYqT9pPHqxudxuuomqMvdSekcsT6SXgAxMRT9w1SgumEx+FwOByOmYMPf/jDeNaznoUvfelLePLJJ7H11lvjPe95D0444YSN1gYnPI5xx/nnnx/vWWOziwHocWEj+dEsYkpKtAzuEUPQ1UwTBahhr2SA6g9B457lqrsWf7dGP2GD9a1yMVbDPi0zidZpN/5MQyhOhuTItotjbVUvPU9dB7WdliRxjEk2lbyF2tjpdPDmN785Vs5KpRIqlQouv/zy1L45HA6Hw+GYmigWizjllFNwyimnTFgbnPA4xh1DQ0Not9uJgPhutxsb17VaLU5CACRTNgMjxnaj0egJsqfSokY1EwRogLzWScOehIflNRqNRDY31q2xPVRc1MgHklnedBNQIkQ+1FUulO1Mx8MSDO5RxGPt8SGwj3RzU3c/dWezhIrti6IoVoY4BhzPQqGQiPcBRhQrdcvTuCW2I4oiAIiVK14Ph8PhcDgcjg0BJzyOccHJJ58cG8Q0zm18CA15zaIGjKSO1uD5kGqiREDVF6ozmpzApojWzUCBYdJhs7YRNPhtkgF7DJBUevpBCREVFlWg7DipaqJjxDp17PrVrS5v6g7HsVDFR8shKQKGXRM1c52Oiao6aSTOkhlLKkkajzvuOADAjTfe2HcsHQ6Hw+FwONYFTngc4wK6mjUajVhxUbLRaDRSA9b1e435Yblpq/8kPfquLm+qPpCM6YamNvOZDapX1ckea93ttA3ad8YPMZkBMLLBKpMc8DuN37FESl3MLMFgeTxWiaa6r7EfjPFRRYbqD+Os1B2RySN4vKplvDaqcqkbnU1fbfvF2C5VmxwOh8PhcDjGE054HOOCQqGAZrMZp6DWAHiqANbti9CAdt3DRhUf68ZFKMnQ1NGaIQ4YIVKahU2zj6kaoSRGDXBth82OxuOZdU3VDg32ZznACOFRcqekRuu0bdM6Qu54/I1EhARPExowAQTr1bZqe7iXkbbDxkPpmLAeuquxbnsNtR66tznhcTgcDofDMd5wwuNYZ3z0ox9FrVZDvV7vSe1MQ5sbUNJ1jMHvmrCA0MxlzPAFjJAWzTAWSoKgf1sXNBIdbrypBj5VGSpTmvpZXbw0MUEaMbIKBqEERl3LWIaWx/EJ7XWj6bgVaXsMsU2W0NlzdeyUKGmGNe0LFSDG8nDM2Ub2g0qbKktWQbNtIP71X/81Pu7222/v+d3hcDgcDodjXeCEx7HOWLlyZWIPGpvSuNPpYGhoCN3u8J4s6qalpEdjcMrlciIw3qooAGK1wQbC2880ojOZDAYGBlAoFFAsFuOEB6pw1Go1NJtNrFmzJk6SUK/XY9KlipGqFGqok1Rommqbwc1mhNMySbpIXHTj006nE6tmJD9M1KAZ6jgmHGNtu36vSQXSXhqLxXbS3S2KothFTxWwTqeT2FiWbVXSqC5zQDLDns2El5aIweFwOByO6Qaf89IxXmPjhMcxZixYsCChdPQLuKeBrvuwhEgMDV4qMGpEUw2xakPo5k/7zmYYA0bigmwGOLvpqBrr7IPG8rBOm45ax0bHSL8LHWtTQOuYaYro0FhoAgGN2eFvNgZJxytNKVMiBYwQH93Xh8fxO46HqnPqmmiv/2gPsiOPPDKR9S+bzeKb3/xm33McDofD4ZhK4FwaSvg0U0FXdyc8jo2OFStW9MS3aGIAzaym7k0WNHrz+TyKxSIKhQIqlQqKxSKAXkOfhCWU9avT6aBQKCTUCVVg1EWLiQEIVWuiKEImk4lTVWvMTaPR6CEZSpA0UF/TaZMsUMkIxfWoyxcw7NKnxEEVHpvJjtBMaXxgqssd+0jyqGNlXcps1jXWRyKlKb1ZNsvl+Oq10w1KgWECxFTZGlPFOjm+IXJEBcnhcDgcjumETCaDUqmENWvWxN4oMx2rVq3C4OCgEx7HxsfatWtjgzOXy6FQKMQEQwPTbfC6jS+hYZzNZmPCUy6XUSwWe+I+1DC2G4qSNGmGtpCLmxr4+pvWRbIVRVHCtY19sy5cjANSVzHG2airmpIjwsYGASNudhwfjXkiCeN4qcKmCRhUaVKyQ3A8dMxC6o5mmgupeNpvtpPJJkgMldAp+VJ1SAkuCZVeX20/x1fTmTscDofDMV0wb948PPHEEyiVShgYGJjo5kwYms0mVq1ahZUrV2L77bcft3Kd8Dj64tRTT0Wj0UAURT0B8Db5gMa5AEn3NgWNaJKGUAYvGwtDBSUU2N8v7oMuVdwbSNNF22xoCm2fTZNt62HbQ3sHcZxCiQqsImaP19TOOubW/S1UtrZNr1WaVK5lsM9KUpRYqase1SMmmyDptK6Mtu2q4nC8VeXRe8J+ftnLXoZyuYzvfe97wb44HA6HwzHVMDAwgC233BJPPfVUj900k5DJZDA4OIjtt98elUpl3Mp1wuPoC00RTdUjlHgASO5jw++pUKgBXy6XYxcoTVusQf76WYkO1Q7dt0bVG937BxhRbBhPpAa5VR/YT1WiACQSDqQlMWA7Q+QOQNDNr9lsJsaGQf00/llWiGCFMsJZaN+0j6ENV9kmJWMkuJp4IUT4WGalUomJjipFJEfcj4ljYFNRK5GyChGVIZva2+FwOByO6YK5c+dizpw5o87v0xU2gdF4wgmPI4hzzz0XQ0ND8d+hm09jYIDezSWtOkOFRfdoYRC+JTtphIdxMlQh+gXAq5GvaZN1o85Qm4FkumR1ldOkA3Ys0sZHx0K/t+RO+zFacL8mMAjFNtl2aOyVdVMLKWvaBn3n2KlroB0j2+Z+2ddCrmt634Tc21jOgQceGGeTu++++4J9dzgcDodjKmFDGfwzHU54HEHYlMRAUulQBUJdn/g3V/JJNBiszt+ZnpgJA+gWpQpDFEWxqlSv1+ONTdUlTo1hNdT5GhoaiusmSWKsiW7EGUVRvBGoblrKelS5IFnR+jU5gRIzdUtjum0SHdapLm90C2N57BvrIFi2jQ9SqDuh1qFuaWlxP/b6KtnJZrNxogirsNm6LLm0ySNCpFBVKSV+jG1S0pVGQB0Oh8PhcDgIJzyOGJ/73OdQrVaxZs2ahGqjBjdJDwmEwioX6vqmhEfjNZiOul6vJ8oj0SEZaTQaMSHRuA7Wq/EfSpoajQbq9XpspJPo0J1O1Sfd3FMTHdhsZvxeY4mAEZVDlQlVqjieHJdms4lms5lov3UJU4VFYcmdzXCm184qbZqpTcdLz1GCpuXpNdJNXVk3j2M9NruddT3U66f3UIgA8d4jsVQcdNBBaDabHtfjcDgcDoejB054HDHUdzLkemSD8kNJDGxwO2OAlEABI9m6qHAMDQ3FqaH5e61W60mCwCxlwEhCgmazGbvF0VWu2WwmNuCkosLj+B0JCDOzqWtZmnJiwb6SAKlrlxIojqGNHaIhz7SUuiEn+6luaDaWRomXpsrmdVPFi+OVllBCkwiEFCSNkVICbK8x22HTbmezWQwMDMSKnhJKtocKIUm1ZqDTeB/2wSZmcDgcDofD4VA44XHEsEH/fGnwuCU8ABJxNTRQSXRIMNSdLYqimKxQfWk0Gj0po0l4KpVKTASoGERRFKtCmraahroqUOxDrVbricVhn0iQSAqsYZ0GGvxKSKhuKKFgOVQ/lMTlcjmUSqWYDBSLxYTaw0QNHD9VSliHVYRsPBTJqCZWsPsSsXxeQ7aZSSZYh443FTr+xv5pIgodG6Ygz+VyKJfL8TXlfcKkGKtXr0atVkuoT+xfKM23bnzqcDgcDofDoXDC48Add9wRG5c2wF6NZWs8K6zhrKSCBrpmZQOSrkyEKgOqhtggeUINbBrlSsDsOao+WDeqsSJ0rBr8Wp+WrXEzNNw5TjTiNYucbujKttvAfavksG9avw3+13NtLI1edwBjSoqg7nRW/dHrq4SJREmz7Wl8jrrdqUJmYdv7spe9DADw6KOPBtvqcDgcDodj5sEJjyMRsK+xMvrOXe7pggYgYeCH4nxUHWFMCM9T49+SBKCXKLAcGuC5XC5WK9auXRssl99p8oG0TG6qkNh2MEEB/1bFy0KJCxULS1R0Y08eS/euUqkUfyYJYGY7HXsbs6PuYxrjZJU5TTigsUiWGGl7db8fjRfSPqgqpt9xjDn2xWIRpVIp7ivjqtQlkWqNxjpxzFmejWFSVUrdEh0Oh8PhcDic8Mxg3HTTTT2xJeoOpW5R1lUqtHpv1QpVD0iAbOpiW4ZVfWz8iBr6LJsGsRIaVU9C9VqkESEiFCcSUrk0hkljhEgibIyUkh7G7hQKhYSr3FhjVKxKY/cJ0rYB/TdRDSU+UBUpNMa2T+p+ZzPeMfkAXdpI7kiuCoUCisVij5uhVXts3BV/22OPPeKMfA8//HDfcXM4HA6HwzG94YRnBqNarcYGIoP2a7UaarUams0mqtVqHFNBUkF3MTVirUsTgDiegoayupmlKSO2DKsyqLGt2dq07BDBURKWBjXQ9W+bbMG6kClUNWE/qUgpKSCxUfc1q9DoONkxCY0fxzjN1TDUP+2PKkdKJhlPRVdBjSsikdV+aJkah6Rjr4kMeJ3UBVGPU9LI6xG6P1Td01TZDofD4XA4HE54ZjDWrl0bJDxDQ0NoNBoJwkO1gEa1dYsCwoH5NGJ1jxt1PwKSLlBq3KsB3Gg0EsauBqrT+Fa3N5ZDd7SQyqNubqogqCFtXfasemLdu9h/GvPqgqfxKlq3dQ205Sps4gj93iZDYJuUCPZTuXheyL2QGdvYP7bVkh0dI+uKyPOZiptjxHZq33W8rYqjddi4JLa/UCisc2yWw+FwOByO6QknPDMM55xzThw3oaviJDya0lld23QDTQA9hrl1cVNYNyk9Vg14JU48DugNTOdnLdcmBqBhzpiOkLqjG3sqEbB/p7m3WXJh30NJCfidJWE2WYOOtcapjAWW1KkrmMbV9FO8QmXZ5BUaZ6P9DZE26/LG/mncjZZtr6kdv1CbQq6UDofD4XA4HE54ZhhWrlwZZ8ciGAdDosM0yJrIoF6vAxhJZZzmlqbxPTTg6Q5n3bRscgEgmRUsRKaY3pqbktrNQhmEz+NJ1FQdSnOJApA4N5QRjtByQ6qJKiBUdegGaF0BtR6OfT6fR7FYjOtVd0KOk14/VXEs+L0SKO2DHQNLVBQca6YTB4bVu3w+j3K5nLg3rEubJS3cUFbvR/ZVEzTY36g4sQ+dTieOe8pmR/b3cTgcDofD4QCc8Mw4cH8adRFShUczZClpYepnGrGhbF5Akpzoar8qQ/qbZtvS70Lqg5alcS62Pq0HGMkSZt3T6PrEY7QetimtDfysRCOkaijJUlWH36kaYd3VrPph3bfsuPdT2fS6WXcwbVOay5uSRI2paTab8TF0e9NzVFkKqVm2PzbJAzBC7iyZ1euv9aj7IAC88Y1vRKlUwq233hrsm8PhcDgcjukNJzwzDDTkaaiGgtY11gQYXsG3sRihFXv+1ul04qxbaqTrJpwKTWpg01cTGjvDc2yAfVpChFBwO/uiSg3bqC5atn5LdtSo51joHkL9EEqKoOqLkgkladqXUKKGUEKFEJEKjZE9V+N2QmRIY7VCsVg28YElZVQXVW3id7bPjBsjgdWkBsViEQMDA3G6a1Uw8/k8Ntlkkz5XwuFwOBwOx3SGE54ZCDV+rWGsRitdquz+OdawtcHiQK8SoISqX3uy2WysFPRTebQsVUdCdYSUJGCEvLFetoXlW1XKGuo8Rt3p2P6QKqPnqqKh39tU0gq6uSm5UdWGJCBUnyZSsAqTnmOVPxIVHSOFKoJUsfiuyoumwLYxNnSn1DpYpsaaASMqD/tNolwul3sID8svFovYcsste9rucDgcDodjZsAJzwzBu971riBZ0LgbImSka9yJGq5KdtSotfX0K5vfh1QMPce6saUlLgglIQiBZaj7mo0zCo1VqFwlVQodD5uVzP6uyQnU5UtJisZIpbXHtkvbEkqooETJKk5aRkhB07FXwmn7yr9t29hPjS9SEmbbH3IDtP3R66aE6xOf+ATmz5+PrbfeGq9+9avhcDgcDodjZsAJzwyBkgVdNdc4m5AqQ5ckVXtU4clmsz37yrA+LTsUW6KxI4wt0pgaGq4aU6QkxxIeJTDaDvZB3c9YLqGGPsuwKas1zkgTCNhxVsJkY1Os2mFJSygzngbhsw8hdzg71kqA1P2QCRTYRh0TlsGEEKo6AUniqwkmmFTBjrG6xDWbzTi+Rttn3ff0vtF4HCV+6m7ZbrfjMUpLIpHP51EqlXoSdjgcDofD4Zj+eEYz/6c+9SksX74cH/nIRwAAd999N6699lq0Wi284AUvwIUXXojBwUEAwPXXX4/bbrsN7XYbr3jFK/DBD34wNmodGxYf+tCHsHbtWlSrVQAjpCe0YShhlRGruoTOCf0dUl5GQ78YHM1UZr9PU3lC7VAD37q6sQ2hpAmh+JMQ+ilYGm/DV8htji8SJI0V4mdts/YzRHa0D0BvDI/9nBYbpWNo22zbQ5cy3bTUKoMhhceCx7Hdmv2O77YPoTLsffvDH/4Qc+bMwS677JJ6nmPqwecmh8PhcIQw+kYcgsWLF+O0007DjTfeGH/3+OOP4+KLL8YNN9yAb3zjG9hqq61wySWXAAAefPBB3H777bjttttw33334emnn06c69iwmDt3LgYHB1EsFuPYEt1nxwaaqyFMckHlRVUToFeJaDQacfpqfTHNslVZQkRIFYh8Po9CoYBCoYBisRi/aOBq7AgRcpdSo1yTCeieQ41GI44jsYTCqjU6VqxH9yzSeCRCXf6UuLBuvpimme2x5IcpvvUcjnkURYiiKO6H3eiVZei11ZcFlRVNp61jwvN4fXUs9R5ThS2NLOsYsiwlbtofveaqMAKIx6JWq6FWqyWSbfC3oaEhrFmzBqtWrcLy5cv7/fs4phB8bnI4HA5HP6wT4Vm4cCH23XdfHHfccfF3DzzwAA444ADMnz8fAHDsscfinnvuQafTwf33349DDz0Us2fPRi6XwzHHHIO77rprfHvgSMWmm26KSqUSuwQpSVCjku5JNGppkKvxGTJW1QhX4qCEh4ZqyNVMCQXJDttBY5uB+sViMZFqmO2zqlCISIXc9ZTwqEEdUmhU3dI+KPkKER0dL01qoG1RgqMvS6BICuxYh85VcqDnc9xsHJQ9xhJP6yqm90eIPOlLx0QJo95Hqt4pqVGipmNirw3LYt+jKIr3aSJ4Xw4NDWHt2rVYvXo1VqxY0XO9HFMTPjc5HA6Hox/WyaXtzDPPBABcccUV8XdLlizB1ltvHf+91VZboVqtYuXKlViyZAn22GOPxG9LlixJLX/ZsmXBVddFixatSzNnPO69916sWbMmNlqLxWLCdUpVEbs3TBpoDNvgco2tUFclrcPGv4RcptLcpggbcG/rtG1i2ZYMhdQFdZvSdyoa2nYbb8P2sI12vELxPEp6bLk6DlqWEkYqJmnue5ZMkGzpd2lgAgNLSEPXWevWzyxf60wbG3uOHm+vs46FhZZFNzr2g8Qym82iXq9jzZo1yOVyiKIodRwcUws+NzkcDoejH8YlejfkPz/WWA/FwoULceWVV45Hk2Y0ms1mnCK6UqnEPus0kqkMaAICVXeska6bkNoYGh6n0L16WK8eT0OY5VmlwZIjbUs+n0er1QpmjQOQcKOy7bTuVSEypEqNGtb2OyoOSiZopGtMiv0/sKRF95NR8kewTUomtb3ahxBpUFKqBCRESoFkIgdbjhIQPZ6flWgAiJME9HNls+qSkkIqeprkIRQvxLL4O6+z7rO0du3a2O1v7dq1PSTQMT3hc5PD4XA4gHEgPNtssw0WL14c/7106VLMmjULm266KbbZZhssXbo08ds222yTWtbRRx+Ngw46qOf7RYsWYcGCBevb1BkDJRFAMq2xGvW6Wh4iAQqrwIQSDNjgd42H0d9DRIXQQHY1dC1UkVIFKaQ8jIY0lzg1su2xqqaokR6qX3+37oH9FKlQm3heiNDpZ0sY+51rCYQ9Tz9rHzUmK3Ruv2sQUrVsXfw7RPZGGw91G1QSZonnBz/4wficj33sY6ntdUw9+NzkcDgcDmK9Cc+rX/1qHH/88Vi6dCnmz5+PW265BQcffDCy2Sxe85rX4JJLLsGxxx6LwcFB3HrrrTjkkENSy5o3bx7mzZu3vk2a8Vi+fHm8eh1FUax6MDZGYyPq9XqsBtHwbTQaiRgXugR1u11EURQTEq7uq/rCDSeBESVHyZZNkGCzbLXbbURR1JPeWAPlSRo0vbB1P7NqVRqR0Dgmvluj22Y1U2VKlQ8eq8QwzW1LDXlVUPQ4bbu6poVUKq3L7kljiRXfrcLB68px13IYW6X9tGOnKqF+z3tNN0nltdaEDKpEpZFdEherRPHeVvWw0+mgVqvF92Qul4szFjLVOt89VfX0g89NDofD4SDWe5bfeeedcdZZZ+HEE09Es9nEjjvuiIsuuggAsP/++2PRokU45phj0Gq1sOeee+KUU05Z70Y7+mP16tUolUrIZrOJbFlMFcw9T2g0qsFqjVAlN8wsptm0eF4mk0GxWIzTuvI8qxQoOaDLkRIK1mMJBDCSmY19UZXHKjysL6QKWCKhYxBKPhAiS7o3jXXzskpPKLaGdYbIiJImtknHIuQaZlUPm2hB6wx9DvXXElklqCEXNP6mY2qVHG2PvddCMTuhdjHBQcjlUcvWctl23rfZbBblchmFQgGdTgeVSiU4Fo6pC5+bHA6Hw0E8I8Lz7ne/O/H34YcfjsMPPzx47HHHHZfInOPYMLj00kvjtMaZTCZOyaspjzVrllUTgBEjkVmy1CC1bmxq4CpZIAnSfVeINMVFjWZtE8uwhn/IFYzfa7xQiOBoP0KuUbZtFmm/pbmOsb5QUoiQ+5wSvFCsgSVHlpywjLT6bF1WueI7Y2j0XY8nkQjFU2m7qOzoxqJUh0L3F8cq5KZns7YBSKhO9niFbqIaisMCgNNPPx3lchkf//jHe853TA343ORwOByOENyPY5qA7marV69OfG/3nSGJoNFJQ7DZbMZGp1Vz1Cgl1Ki2K+8aL1EqlYIuTmmKhLo7aZpoGuE2HknLsEH56qKln236aatchNob+i2kSKTFS2nsjrZR22DVGEvQ+qkz1l3QXhvth3VV03r1GCo7TB6gbnRsE0mPjoOSCLunjoJ7DfHahK6BKkSasrrRaABA7JbWD7yXlXRxDyFgZI8eurc5HA6Hw+GYXnDCM02gxEYJhRqUaYYngMRxthxFyNVIV/1ZfrvdRj6fTxi/aoSHXMeIUPwLv1ejnnVb4tQvbbGOS5q6EXIb6wfbv1CdqvLYNut3ViHR8sfSjpDKwrYoqdG26ngSJDqawc8qTizHus/Za6D3lrZHs9mlXe+QW2Ka22FaBje2wSJEqvqpew6Hw+FwOKYmnPBME6xatQrVahX1eh3tdhu1Wi0RVK/GpJIfdeOiQlOv1wEkA8MZ/8Nz0mJMrKGrMRM29TF/U/WlXxKBXC4Xr8DTCFc3Omu4anyIKkasSxULEjM12kMERZWNtHHQNmgsFBGKF9J6bbn82yo3/N0mgkhzJdTEBzaeRuOPeL2pnuiGr7zGITJskxbo9bBE2sbhMKGBJi+wJLXRaCQ2zgUQbzDKZBxK0LQ//Yh6oVBAPp+P07g7HA6Hw+GYXnDCM8VxxhlnxIYlDcJGo4FarYZms4lCoRC7CmlQeWglmwanEghCUyrr5pT8zR5vV+LVWFc3LzWebbuU9PB8a8ymrchbNUDr0ZcSPlVirFubHmPBc9Lc0ThuSqrsdQgRvNA42DosSUtzm2N7bOIDHVstP5/PJxQe67bHfpEIh1Qi9ptuhJZ48l3Ps9fHjiNd5PR7TZ6Rlv3PQsdLM7wVCgX8v//3/+I9hC688MLg+Q6Hw+FwOKYOnPBMcRQKBURRFBMeKjwaR0OSYF3KQm5VNnW1NarVNUnVHFVONAUxj9N01UpAaMBalzur7Ggb1Thn2WpAa3khspMGq+7Y1M9sm46hkjWWkWa0WzJnyRbHRr+3xrvG0FiipW2z5ep9YFM+h0hWaFz4Wa9DyOWNYHxPyM3NjrcdOyUyeu1sf0N90iyAaW3Xd9YBjKg9lUoF5XI5dUwcDofD4XBMHTjhmeIolUpxBrZGo4FqtdrjLsRU0XaPEhIGXWVXwsO9d2jY8px8Pt+zuSkwQmSoALF8Nc5JiPgdSZLNmAX0umopEbGGr+7PouVqO22cRpqRTqVA3eaUJFrli3XzeBtHZcdcySDrV4Jq20T1QUmRzbin5dt6AcR7zSiBsopMP9KjbbOEg7/1y5ZmiamOg56n94WOpcYL8R7UNqtaw98tmdLjbH85lsViEaVSCZtssglmzZrVdzwcDofD4XBMDTjhmYK48sorY3KjagcNQnVZWheEDEH9LZSVTf8GelMdK/qpK7ZMrTfNBW9d69Ay0763L35vy7XkQo+x76O11yoxae2xZabVF3KVC/V/tHtEr6/ti23zM7nftA0htzabDp2kKXSeElX9n0gj0NpuLUtVKy4UOBwOh8PhmNpwwjMFsckmm6BarcZ7oVQqlTiWgqv/Q0NDCZWFq+VA0kXIGq5KmtQNSd221KWK5fE8rryHyJG6pqW5JjWbzXgvIX2p2qJlhNQM/qbuYexfyK1MX4xdUSVElaeQ0mNVJ3Wp07LTsrjxeH7HuguFQtwm9kevoabc1v6oIqIJB9gGdQNLc0ejgsTyrKqmfdD+cYytu6O2V6+NjqHWazO6AUioOnqNrAKom9KqmqX957uiWCzGr4GBAQwODsLhcDgcDsfUhxOeKYhSqYRmsxkbbSQ7hUIBxWIxNuysGqBGez8Vot+KvZId685GQ3O01X5NXkDjV8mLlqsKj42VUSXDvqf1IUR69PiQG5Ttv1Ud+rU3VI8tS1+WnKSpMXqOJQ92XKxapWX3c0Njdj0SC17jtHEeq7LHetUlj+82Pon9AUYID8sgYUtTdaz6ac/h/cpxpOsgyWaxWMTXvvY1DAwM4MADDwz2zeFwOBwOx+SHE54pCKbQZdrgKIrQ7Xbj+AOqPpr+WRGKMQF6A+75HZDcS8W6mIWMTb6Hgsn1fOt+pQqTJjbgxqhqpJJcaOaukPsZkIzzCcWuWAJgj9G+sjxV1FSFSov30fPYd3uctsW6sumYhMhhiOD2I7ahPtoyWRfJj2ZEs9fY7qmjGdn6EVFVkqzqotBYKUuW0s5NI1uamY3tYcpzbaumQnc4HA6HwzE14YRnCoJkp1QqIZPJxAYZs7Mx6UCr1UIURTEhsqpACGpQW6hrkrochdIaE7oqbw1plmmNfRq0JDJMyECjlr9TJbAJFGjoa1vUTcoqG0q01OXL9l3JiLrz0QXPKgZafkhVC5FHbYuOp1WU9DybNU9JZ6gtaSqcJWosTwmzuo2RNNC1kmVqAokQ4QllbGMZtm1pLpUcZ3Vp66dMavvZ9lKp1JPKWkkivyuVSn3LdDgcDofDMbnhhGcKQtWMNLWCGbBo0KnCYcuyf2sMCjBi7KuhzfLVUOSxbAffaURaFyUiRK60L1bdsOOgsSxKKtLc9cYCS5jUNUpjc+w5NpGDjof9LuQOZ8vT7y1xsW3Q2Ks0YsM26uajVm0LqTysU+OiOPYk2FqHTQseGiPbRx5r3dLsd6qiMb4qtJmqqkBWmbP3Bn+3ZI37BzkcDofD4Zi6cMIzBRFFEZrNZo+BSFe3bDaLUqmUSM1LtYfqDA3GZrMJIOyGZA09VRk0ixVdiWggqtrBz1qeGsxWsVADuFAoxMSD/VVCZwP5rUuXlm9dxfphNPcvbbOWF0otHTKwdazVYLdtUHKh488xVyM+LUZHCScJgJLVNNc4e40swbbuhwolO9adUu8DTZ2u6gpJlPbFxjOxTt4X2Ww2jl+zipMqctoHjq8S9lqthmw2i7Vr16JQKKDdbrvC43A4HA7HFIcTnimEL3/5y7FrVyg2ARhZ5acBrS5g1thXY9yubFtYdyfNyGaP0zrsPi3WlS304vEhdy6SNW2TGuS2b3aM7IvHKmhAp8V/hMrS9is5CrXDuqdpTFJoPEOfVfnSa893q4hov/hOcqBlWxWJ33EzWVWF+NkSYyXMIQVRx0WJl3VF5HvIxVDbStJo1SIdK5IgtsneR3wnYWe2wEKhgGaziQcffBCbbbYZXvziF/e0w+FwOBwOx+SGE54phGw2i0ajgUajgSiKUK/XY+VG3W/sarYqIjTuSGqs0Q6MKAA0zGn8EdaNSg1qGsaq8OhGpGmwyQvsO410IOkyleaqZ4/TtoaUHh6jhrEa3CxP1TRrMOv4phE5+1uIhKUpUUqMrKtcqAwdQ9bH5AP9XMtYl56nY8PjLFHTe0s3fg0dYwmJveZ2vDXGyp6TlmZa3elYLzMcMu6N8XBUE0l4Vq1ahVarFad/LxaLiKIIDofD4XA4ph6c8Ewh0BCv1+uIoghDQ0PodDqo1+sJNysbF2KD/JUkUKWxagONPxIGEiQalnyxDv6mqX3VXYhtB9I3srRKjU0QEHIT0/P4W8hlTomEJQP2WJIdm9ZYXcxICi3hYntt22wbeWyI3FkFyt4DVJHGovBoGSQsNOrteOr10vvFxvOEYmP0N1V4Qmqh9sWSJr0+BNukLpp6X+n1tGPO7H68l7kw0Gw2YyXHunkCwJo1a1Cv1zE0NBQTJLp/OhwOh8PhmFpwwjOFoOl0uQ+PGpnq3qVxFPo55EoEJF2NiJAqQajBbFfWrcpgy7PkLKSGqDFOQ1zLtkqKfk7rg22j7VuIIKWVYdthkfa91h0iJf3anqYa2WupZfNzqCz9bElyWpC/lhtKJkACotnZQtfEqoSq4Olne3yIzIXUodCYaf/0t1DcmhKxWq2GVqsVx6w5HA6Hw+GYWnDCM4VQLBZRqVQADBuFtVoNAFCv11Gv14PKB1ev1eWNBMjGqajRq8qOZqpSYkT3KA0w13TFin5tGc2QT0tXbI+1aoS2dzRyQdWD31sXKuuCpZnwQoqVhdY7mopj22z7OJpipKmWQ7DuhVqWqjf2d70WqnbZJAAE7xGrPLIs7iPFtvOetOqVLVcJGe89fq+kxZJY9lHdOzudTuwSynO73WE3TibmaDQayGazWLVqVXA8HQ6Hw+FwTG444ZkC+MEPfhC74JBg2NgZ66pmSY+qPdZQ1uMVNjmCVV607lAchrrQhepIUwAs+sWkhJSasSB0nI5ZKJZkXcqy7Q8pDCGVIm2sRvvOnp9WbqjNIWXNnhsilqq6kSSGxs6SUXWXUxdAJTdp10ERck20fbT3sCWarJf/F6EMco1Go++GqA6Hw+FwOCY3nPBMAdRqtQRxARCvPne7XVQqlTihAY02bjbabDbjVXZNZU2ogWdX4ZkRThMcqOGnBnKn04mJmB6jLncsr9lsxm1hOVaZ0nibUPpjNaJDCQ9CBr5VTvR4a1izzTTCqebo7/w7lASARnvoPaTwqMGviQXSVC1LJDUxRZpypLAkTMtlXbYMvSaMobH9IJHRBAd2zDVuTMmUKkVMTc0xUBc5jTNiWToWVA6ZbIP3rSqQqtLp+PLvfD4fp3kvl8vI5/Mol8t9x9ThcDgcDsfkhBOeKQBmh7KGPQ3CUqkUG7BKekh2NHDbJgagEWljgPgdDU2CBq8G96shTwNUjVd1jSPhIYnqp/ikEQM91hIebacSDbaFv40WB8L+pxGoEMnSOtLaEKo/RKSUCGgbQi5thLoWhmCJReg3vT+UxIRc8jSBhZbD721yBDvmIcJDcsLNTPVetTE+mghDx51kutFoJPaFUrKjn7VfLI/9yufz8Z5WdCd1OBwOh8MxteCEZwqgVqslCA3jYOw+JzQWdaUaGFn1VoMx5KKkMTUaa6PnW/ck1huKseG77lqvpEOhRCpktGt702DJk/0tRG5CCo89j+OsrnVp54RUEUve+rVdXbqswmNVsJArmx4XalvIZU2JV5r7XT+E2mDHKm3ctM6Q+1sa2dH7RJXHbreLfD6PVquVUKG0PpYT2idICZSSS74+/vGPx+rq6aefPurYOBwOh8PhmHg44ZkCePrpp2M1h6Sk0WjEKXVpNGazWRQKhYRxyJVqJRsEyyOR4jGaXECTCljjk8Yj6wilKGa5jUYjTqxgjWE1emlwppEea/CHvtO2hYx8VSg0lTN/5zvLIOmjMmCPI6zbncKmrtY22n7Ydmp7rBKj7n4aE2MTEygpJRGw5VmEyJa2u9/x+p3WqeUpyeJ3oXbY9Ne2/lBSC/6/UB3VOvR/RschpNrxf4djxH2mPKbH4XA4HI6pAyc8UwAa76LZ00hMNBEBkNwUUo3BNIVBjV5NbBByrwrFdoSIia6KqxrV7XYTxmKa6pKmbIzF8LbEwSolY0FIMbHEL+QGlzYmlrikucpZhSVNuek3JmltDZG0EMEb67iEfksjnHpP2rrT/ta4pFDWudGIlyXo2kaNM7KxUSSNqu7Z11jGyuFwOBwOx+SAE54pgHq9nojNAZBIAkA3N8bGWEONxmY+n+/ZYJGw31mDnEYrCZaucqsBSWOQJI1tp0sby7JxJKyPsRWhtum79s+in6oTIlJq7IcIiKpBaeRRjeZQ/+iKZQkK60hzv7LH2vapYmEz8Knhr2231y3kIhYix2rs6/1k26wE1xIWO856f+ZyuTheplwux7Fpmr5a6+E9B4yQIwA997gm3uD/jfZP/0+0LWxzFEWJTVv5/+ZwOBwOh2NqwAnPFECz2US1Wk0Y+BoTo2RI3W9Cqg9/04BvC7vqravz6g6kGbJIhlgujV5mZNN4iVCcjlUiQi5qVnWyQe9aTkjVCblU8XM/hLKSqeLA89Udz7r9pbmH2fLU3cwqbSFoWWnXM5PJoFAoBImMqi6h66HQuJqQAhgiGNZlUMvRsVLCUygUUCqVUCqVYjdN6/ZmNwrVNqeNGQkS20bwOyYpILFhu5j0g/FxIZXT4XA4HA7H5IUTnkmKK6+8sidzmhqKVFi63W6c0YoEg8oKz1FCZN1y+hmuaoirOkFYNzsAMeGh+qSqD8tMMxZDcTShdy2L9YZcqex7yKXLKjxp7bFkoZ/rln7PzyH3M20PiY4SHiU+7Kfd7NQa4OqS1W+s05B2jm27kjv+zuscUkDYH0tS+b1mRdOManxxLHTsODZWcbSb5hI2jkjvHVWKrBKlZZHYdzod/Md//AcKhQLOPvvsdRpjh8PhcDgcGxdOeCYpNCEBjTpFoVBAoVBIfNdoNBBFUbz/CFeu6/U6gBFXH5ucQGN3CLotqQKhK/j6TkOQRmKr1UIUReh0OnE/gHTXMiCZ+jhk3Np4DLZHXbL6ubiF3tnPkMuY7btusmmPtW3T36xCZful6oa+c3zVPdCqdBzrZrPZ0xdV4axrmx2X0HhZly++Uwmh2mEz+wGIXRhVGWP7lRipe1yhUIj3vSkWiygWi/G+N1R47P8Bx4Zudbq/D+89uq/xeJKjkEJIFzweq4sIvE7sR6lUisff4XA4HA7H5IYTnkmKkKqj4Gp4iDzQhYnGpBKCkNowliBsJT12lVyDv4ERYhVSMpREhH4DwipNmsrDNoQ26tTjbXkW/fofIkyWXITOt6SnX3khMjjauOn1TWu3JWgcq1C77fhZpcmWw2OsG6USz1DCgH5klgQp5ApnoUTdEnJVxlSdJHHS87U8JT9Kegi2UYmkw+FwOByOyQ0nPJMUGvitm3+Wy2XkcjlUKhVUKpU4eDybzcapqhuNBgqFQvyeyQwHXler1USqaSpAqvoQNoaHxl+INITc5NKUEpIxq5iEjFDrUqfHa5yRxheF4noUY3HZCp2bpkypQRwiQHYsbJl2LG0fu92RrHaaFjukSvFd04SrcqbqBo8PuR2yrrT28n7RcdH6rXKY1ke9N9TdbLTro3tENRoNNBqNxEandlxUiVJ1KuQiR7TbbURRFB+bz+cxe/ZsDA4OYtasWdh88809PbXD4XA4HFMETngmKZRE0DijYUiXHxIe7r1TLBbRbDZjt7YoilCv11Gr1WLXH0t4dJU8TU0aTf3RlfVQQLq2nUa7jadgPWp4K9nRdy2fbkjWcE3rC48JGcb6t6obCpIAJTlpRClE/vq1JaSw6DFKEJTcWONd417smFkXrtD3IbWJ7Vc3N6vEEarwWcKj5WomNNtnO46s0xK00H1rSTTPpbqj461KlFUNtW6OK13tBgYGYhc8h8PhcDgckxtOeCYpisUiarVaD+GhSw1jePL5PEqlUrzC3Wq1UCgU0Gw2kc/nUavVEEURut1uHBNBN6Q05cBmB+tHDhS6CabGmmj8iXXNolJDw93G8oSMfT0vtLeLttkSEmtcq3sa+67nWaVLz9Uy2Nc0NzZFqG00xK3aYdWiUNlWGbGuYZa4aB8tqU7L2mb7qrDHhwgFEcp4xzape5ySIb54f1PZ4TUh6eC1ZBlKNHm/kWxzXG1iCh2jfioh+8H/KYfD4XA4HJMXTngmKUqlUuyuo6SBZKdYLMarzJVKJd4TRffniaIoLiOTyWD16tXIZrOxa1smM7zHSafTiUmT7uVjYxrU+LQkA+h1g6IhT2NWjU4SLBIXtkdjTPQ9FNOh5IbvNiBeVSdLXLRNluCwzxr/YfvM+pQ09XPhslA1ysZG6Tn6u14HbYf+rS5toT2NbIyVJgPop+qQIFgSwzFNIzxK1HjtlcgqSQklAWB5SniYqEFjafQesvsDkWQp4bFjbtU2S5y0r1RWBwYGetrrcDgcDodjcsEJzyTDHXfcgVWrVsVxOSF3pNAKv646a+Yv3VukX4C7lmMJjdZvjdo0smOPscpLP6iBbEnQaAi1L2TUWqJgjXYto59KtD6w6o011tPqTyujX5957GhtsMfYJAch2PLT2po2BiGSASTjv/q5r+VyuZ7EBfYYJTtcHMjn8z1E1Y61ql8am2TJnMPhcDgcjskLJzyTDJVKJQ7Crtfr8Uo233WV27q66Yo50+YWi0WUSiU0m81YzWE5AHrS8KZ9RyhRCCUkCBE0frZuS1ZdsYHuBN3dFNZQ1bZZ1ccawjpWGmNkxzLkmpWmCthzVPWxsOqTEim696WpT9Y9kGOm37F+vmt2PVWJQgkLVPXR9qp6puWHzrFxWNoHHZcQ2ajVajE5oQqo182OucYrMRW2TcCRyWRQLpdRKpXicqkqUgnluUqq2F6mpq7X66jX66hWqxgaGkKr1XKXNofD4XA4pgCc8Ewy0CDTjFLWtSaUicy6IakxaLN2sSxVctQVi6vm/QL/9dhQbI4a2GpIajutOxi/0+/ZVusqFiISIRXJpiTWdltyEBpLfta2j6byhH4LGfuW8GgfLBHT30cjVaq66TiwH9omq8aExjzk1mfHwpYVUszsebbt6tqobdFz7f1syY/dr4rQDU2Zst2SPnvPAUiQ8E5neG8fvljffffdh0qlgsHBQey1117B+h0Oh8PhcEwcnPBMMtAQ01V+Xbmv1+txwoFyuZwwvIBho5BxOJraOmToqnGoG4SGDNu0tgIIGsaqJNGopDHLGCOuxutxbDPrVgJAAzXUhhBCxEe/t8Z9P9cwtsMSw9HqDx2T5nrGtoTctzgGNMwZu5JGEIERdzRbju1zSCmz5VgyqWpRqH+WVKaRqtC9RrVG6+P1t0qXtl9jk7rdbuy+phuaMtmHjk1ae3gMlcl6vR6XtWbNmjjtO//f+v2vOBwOh+MZ4okHgf9+N7Dy9+tf1jYvB/7PDcAmz17/shxTCk54Jhl0ZdyuYNP9pl6vxyly6aZDg4skgkaYqggsHxhRUpRoWOWiHwFgGQB6VJ1+hIflqBtWt9tFs9mMj1PCw3JDSQuIkBtXWpv7qRlpSorCJmCwZaUhpHSk1RFS8Nh367ZmXcXSvtO+W5c6JVc81gb9K/kGkEgFblUVm11N+0SESFaaekQXNDvOJIZKvJT0ZDKZmODQpY2ZDQEk/j/YDyX+bHez2US320W9Xo/HgKnh8/k8Go1GMNmCw+FwONYTf/k2cNehQKs2TuX9N7DwQODo7zjpmWFwwjPJQONJ1ZmQ2tJut+PUvKVSKSYFdIFT1xsbbJ1mnI/FtUsNaW2LhRqglnTZctLaY1fe0xQVJV79+sC/rRtVqExL/mx5ti/aTq0nrX/6XVo9/VS2tLHR721fQyRDX6H2j9aXNMI3mtoRup9se9VVzS4AKJS4WQXI3sO6eMC/NU12GpS0c48rkiBgmAAybs7hcDgc4wBDdpYMFbG2OWK2hh7ZnEKG55Iuut2Rz1sOtLB5pQOs/tMw6XnBsaO3YbPnAM8/Bsh7vOZUhxOeSYann346Jju1Wg31ej2YpSyKIixfvhz5fB5RFMVppRn/U6/X0W63MTQ0FJfTaDRiJYUIxT+kuW1Zg1rVIv3OKiZ6jrqWWVKRpiCpomGD4HVVX+OUNDGBnpum6qQRiNFIj32F4pRGI3RapsIG6af1X+tRg9+SHVvfaPv98Dhbh0IVkpBqFRpXey9bN0W2je5o5XI5cV21HVRWVK205fG+0PL1XmBdIbC8bDYbkxyWz/+1YrEY/585HA6HYxxglZ2dDsfbrliJVnc4qZKdM3Vu4HxAW4rP7i0qTdz4uj9hx00bw6TnkY+MrS3/+wXgyHuAgm9DMJUxtly/Y8ADDzyAww8/HEcccQSOPfZYLFq0CABw/fXX47WvfS1e85rX4Pzzz4+zjTnCICmhMtNPgYiiKHZxI6nhd81mMy5L//H7baiY5i5mHyzWsNbVb32xPpv5aiwIKShat7bBBpaHiEy/ekY7pp/7mTXoQ6+030Plh9zxQr+l1ZHWP6vehPrVr3/9yhzLGGpfQ3XZskh6NLW6viyp1OuuhCeUrGEs7bHQCbTVasV7XDFzW61Wc8IzSeFzk8MxxWDIznef3AwHX74CbeTjuUEXwXTfOfu7egesaJRx0gM7Y9HKdVRr/vLfwJcPB5rVDdBZx8bCuCg89XodZ5xxBu68804897nPxc0334zzzjsP73znO3H77bfjtttuw8DAAM444wzceOONOOmkk8aj2mmJbDYbp7xl7AAwkiqaoFrS6XSwevXq+J+8WCyi2+3GiQHWrFmDarUaG2Z0g9O4CF0VtxuHWmPWKgmqsFhjU/uk5eg+MyFFyCoEIYO/H9gma9infQ4pEmy3Pjx5jm2bfm8VMVtmqI5Q+7UeW3c/90I1/kNttH1WNzGrDKmqZPfEUXWN9djkCFqXbjQbUnhYp9ajZEcnMO2bkl0bR0NiQhWm2+0mNi1lH7gwoPFjQDJOif1mmZlMJvG/xP8tx+SCz00OxxRDQNk57+6/I5Mv9MSwqpcCn9e6qKtbT9BmWt3O4m0PvBgvnldDKT/8XS6bQyabQTaTBTj1doFZuRr+3wv/F4OF9gjpcaVnymJcCA+Ny1WrVgEAqtUqyuUy7r//fhx66KGYPXs2AOCYY47B+eef75NKH9B1hspMyA1Iv2u1WjFBYoA2gJgsVavVWP1hhjcAcaIDzX5mA/JD6lKauqOkJU2VUILFukIuWYp+Cgd/t7AuViHCkEactFySTBrbVmlStzdLUtIUBSULoX1zQkpJqN1pygvf6VrHdrAvIZcyJTLq8shjC4XkRMP+WbIaapcljfb+0nP0etkNdPWdbbXJBdT9jH0n4YmiKCZF/B9h3arc8LtQXI8qSLx+TB+ve2Y5Jg98bnI4phACZAdvuB2ZK17bkwyHC2m6IMdnN+fjZrOZWMzLZrPxOb8bGozL0IU9IBkX+te1RVx10O+Bxuph0nP3G4Gj7gsHEDkmNcaF8MyaNQvnn38+3v72t2Pu3LmIogg33XQTLrnkEuyxxx7xcVtttRWWLFmSWs6yZcuwfPnynu/pgjATQMMuFIsA9A+WZ0YpALHCQ9cbdW0LEYtQpjUtO82FyaoFoe/tOSE1Sc+xx1kVI9Qu/S5UP78bDSHFxv4WOl7rSTP+Q30da7vS6lWipeTLkipLyKyCpMdr+yzRUPKqipBtg56rE5PWbds6lrGwxyspCm1UyjpJZlTFYRka+5NGVNlntpEknwSx3x5AjomDz00OxyRBtwv85r+AP98PIDA3drvA726Lyc73n5qLD391Fdr/IDs2ay2AHrKiCo/NwNnpdOJ5KJfLoVAoBBfjdEG50+ngN6s2xcn374iPv/yXmF3sAH/+JrD8F8C8F2+skXOME8aF8Pz2t7/F5Zdfjq985SvYaaedcM899+Cd73wnnvOc5/QYMP0MmoULF+LKK68cjyZNWeTzeVQqFRQKhViRCcWl2PiYTqcTu9Qw4UGr1UokLKhWqz3phmn00VhUNyHrqmZX81VK5rnWyLft5su6SlFFYLm2TpvAINQeLduSJ+2rJXRp5Ma2J6SOcLy1DrYrDWNRmmx7tP16riV82hatxwbtK0nlypdODnptSqVSPDHwPBKIXC4Xu4NRVUybVGx/eG+HxlRhx5KqDMk522qVG70O1Wq153pq+by+7KsqfFqOrbvZbMblFovFvv1wbHz43ORwTAJ0u8CD7wN+ctnYjt/pcHzkG0PIFvLIm8RD+ioWi4m/lfCQyHCO4dxEV2lLeEaa2o1jkFneb1dvhjt/vznevus/Fj0aq8Z7hBwbAeNCeB566CHstttu2GmnnQAAhx9+OC666CK0220sXbo0Pm7p0qXYZpttUss5+uijcdBBB/V8v2jRIixYsGA8mjop8dOf/hQrVqzA6tWr45Vq/sPaDQ3TyAd/4z+oTSCgSQSse5I+SHSvHFtuP3VHy+I5ihDxoNFoCYA15NU1K9Qm+12a4dJPcbF9sH0LfZemOo21jlD77PkhJSf0mx4TKifULl3V4qTAiUFd0azrgNZHt0hghDjYZAMhwmMVPxvnZY/Te8USP3XXY3mhd5uww8YcqSsEywvdX3quuku4wjP54HOTwzHBWEey899/nY+Pf7OKTraArCg6qu6EEhbYuYnuxsBIfI/Gg+rcpIRH7SraX5lMBt3xy/HlmCCMC+F54QtfiBtvvBFPPfUUttpqKzz66KNotVp4xzvegcsuuwzHHnssBgcHceutt+KQQw5JLWfevHmYN2/eeDRpSmHTTTeNjaVCoYBWqxW7pHW7IwkI6LLG1XR+r3v2kNTQhU1jdxjHwA0T9Z9eXZDonqNpqnW1gwaxdXMKkTH7nUKN6FBgOh9SVA7SiBcRSnygbbPKVIgosB1W6rbG+liNW2swq9Eealu/863qZH/X8VWCpqQGSLoval+73S6KxWKC/HAVjQpgKDCUoMLBTGp2UrHKXRRFPeogXS5J2vW4VqsVHx9KfmDHLaRQartZlg1ytfE7vNa6csh+6QqjE57JB5+bHI4JRIjsvPrTeNMZVw8rLNkM8rk8srksspksGiji6UYFhXIybtTG7/DvcrncQ3hs8plCoRAr96rwhNzh1Obi8z60KbtjamJcCM8//dM/4bTTTsNxxx2HQqGAgYEBXH311dhzzz3x5z//GccccwxarRb23HNPnHLKKeNR5bTC4OAgoiiKVxNqtRoymUz8HY1MEh6+R1EEAAmyw3dVdpjmmq44mjGLRqoaksDIyrmukivx0YcPDUS7jw8QVoesaqEPHT6MLGHSstMIgpYfekBZ8hD6TftTLBZ7CIOqaFpWSO0KKVDa75CaMdpDNaQ8EaFkDVZN43iGVD67kgYgzvynRABAPAnw2ihBKhQKiUQDLIf3iBIPm1JcFSpVG+115QQGIEHm7LXU68UVv7SNclmWEkt7fTTDoE6cTngmJ3xucjgmEI9ekiQ7h1wH7HYCnhj6PIrFYuxapqpLsTgyhwC9rtk6V+ncpJ4KajNZ13mbwloXWa2No/ZINitzc8ef9VMR47bx6DHHHINjjjmm5/vjjjsOxx133HhVMy1RLBbjV6vVilNG0+hSg01JjK6GA70piYFeA85KwjyGsORE4yRYx1gMcyUffJhYd7WQRB16AOlDJ82otIRK267HhI6342Rz/Os4sU2a5c6W30+xse3Qh3maK1XomH5lptWjpFLd1Ox10PEg8QulhQYQp3xWla5QKCRWz7T9vIZKpjmWwAgx4hhwjKms8Hi9t6yCZcfAxnnZeDCWacen3/hqRje9hxyTDz43ORwThJ9fHX8857tb4d6br0Ch8Jkejw7OH+pJYNV2q/hwMU69FLj4pnHPXITTuYzHAyPzqi7ecSFO2zjUHIkRxXfeC/zLt4DK5htvLB3rjXEjPI5njsHBwUTK6FKpBGDE+KOiQxe1RqMRv4Cke5P+o/M3GpckUvZBowZ2yAWNxrHNymWVDeuiZY1S1qOkxRIdfehZ8qVuToQlZ6xTY5XSjFf2R0mOumOlBUQCw1nwcrlcvCeLbQ+hY2LfWaaqSlqOVWy0LyED3vbRroyxjwzu19UxO8Hw/stmsyiVSonVMFUalehUKpV4ErIZ0+w15ITC8khidJypeLIvLLef6551WyPUpU1X8LSfnAxDPt1aJ91Iu91uPJGS5DkcDofjH2B66U12wF2/H0CxmNwUVBfIdM61qg/nSLtApy5taivpvM5EUJybNLkNkJwbNFkBiU+hUEC328U3n9wa79qnCQwtAZb/HLjt1U56phh8SXISIKQs9HORstnL1IDXMvuREsKeb8mOEqc0w96+2771UyaIkKIS6oPtRz/Fo9/LJnywZYYUMF0V6uf6pG0Yy/dp/bR9G20M+9WrK2NAcgWNkwLfuZ8TyR9f/F5/s+cUCoWEYlkqlVAqlRKZ2yypsKQ3bVyte6WS6jTocXrP6jlKOEP3uf1f4GeSNi33rW99K0488cQxXCWHw+GYITDPVbsQmuZZoaSH805oHtI5ynoa6Jykn0ulUvydzks2TTXfV7YGcMyXt8Ly2j8IE0lP7e8TNKiOdYUvSU4C1Ov14Co9wX/4bnc4qF6D6YAR440rF2mEiK5DVhHSVXFNbqB79tjyNGaIDwU1AEcjK/1cvthndUlT/1y2ne2gKsDvdQx0fIiQ4cv2Wb9eS8Ksm1yn04lX+VVy13iUNHLG66qrWDyO48+y9Hppe/XeCCkb9rh8Ph/Hv5CIDPtNj6ysKQGxK3Aca66iMSlGsVjEwMBAXBbvRfal0WjErpiMTeMxugEux0XvbXWPo8KmgaQhwsPxY9yaxvDYFT6dMPX+AkYSFei4arwRNxyly12ofIfD4XAkofMsF844D402N/FF7wM7N7XbbdTrdURRhEKhgFmzZiGXy6FUKvWdm+hpQ1Wn2WzG8/vAwABWtIpY8Ohe+PjeP8UW5YYrPVMMTngmAWiMhVaXgV5jXH1V08iFroxoYDUVCpZPA5oGphqJSiJCbmRq/PPhMZZg/tEQIgZp5YVcvaxLnSVa6tvLc7QcrY/1q+JA8hVyDVSMpj7ow95mBmNbQ+oEz9W2WldBOz6hVTO7AqZuXXqcdX0jydNAfwaEc1IJbQLKTXFJVngf81jet/xN+6D9VBczVYpC469xbhw/zRgHJLPKcbxCiqCWy/9XTq65XC7uX7/FC4fD4ZgR6LSATjP+M83zIM2tnSpOqVTqmZuU8ITmJi6icQEqNDfpIqrOTfzNunqz/mXNOXj/j1+GS176KDZ30jOl4IRnEmDlypVxbA7f+Q+oLkcAehIaWGVBA7ttfIolBmo46ganLNcaf5aM6So40KuqWMKk5bBNVj1S0hRSlthfNbZ5bIgshgLUtZ0cL1uXbb81eC2UWFgiGCKyaQqYPc+eEypT69R+h5Q0dR9QFwA+zK37mXVD433F+4VjWCgUYj9pXUVjW9QfWpVGrp5x3LVce01tsgSSTktU0/rMMVEyxfHT/6GQ26Pec/be1/s2RHwdDodjRmD5L4HvnQ2s+gPQrAL1FcPfD2yFfH6ox1VZ7QW7QKsu0mlzk3pIkPDohtZcjKtUKrF3g52bcrnhLQ9YD0kPY6RZJuepXC6H5a08Pvizl+OjL3lYSM/BwL884KRnEsMJzyTA0qVL4xXoarWKWq2GZrMZG4TqNqXGopIc64YEIA4GV8JDWEWAsq4a06Eg7H6kKXQcjVY9zq6kW/c5bSNX6TWQkGUqgdJ6Qq56aYYzFQVLugD0pCAO9ZHjTmM6RMiUqLBfdhwsIeXv1ni3vsXWPY9jYMdQz9UJhRMAJf9yuRz7NOtKGM+j1K9B+/SJDrm0sW5OQiT1zEZYr9fj+lqtFmq1Wk96c50kLQlRF8S066OTH1cPlQxaBY/1WPJr7xOth6nfnfA4HI4Zib89BnzpVUDdxLRkC8C+5yOfPzuxyKmwC3EaY8N5xc5N+tznQhrnpk5neL9BdWkj4dGkSABi+6LZbKJSqcQubTyXngjVajV2fWs0GljRLuPcx16Bqw74338kMvjZMOl587eB8mYberQdzwBOeCYB1I2MLjJcOQZ6g6UJ665kV/1Hi3FgeWrEaVD+WF1zlHDYukKKhSVN6h5HkqEIuXRpvbaekAKjxIh/67sattoWEiKu3vNY+0obF9vvEELtTWt/P9hxHe04JTIhF0jdlBZA/JuOGRUfEiiN+VHo/cTxJZlvNps9G5ta90uC5CV0/+r1SRuDEAFVsmP/vyyZ1fvTKoBWNXQ4HI4Zg+9/KCY7tVYGzU4GS4eK+NRPt8Ejt3ygx04JzefWprFzk85PenwosybtKM5NLMMuxul8wnleF5p1sZllc6FtWWMOTv/eC3H+C5/G5qVomPT88rPAyxZs6NF2PAM44ZkEaDQaqFarCbe2drsd7/arKxC6izD/6fkQ0BV+EqY0skPjzQbGAyMGmxqfavQprEpBosU2apvUIFUjkb+zL3YFRl3KrFFvlaR+hr51seM42T6qkkRXLLtyz/HVoHirptjxCcGSAB0vJaIcT+u2ZRUebSf7wLKsoqETAIM/K5VKIrZHwclH+0+CoyoR00craeH4RFGEYrEY38ucTLgyByBWfxqNRo+bG8eKf2syhZDbYZr6qMeErgf7yzHSa8PEHq1WK1ZGWW6aMupwOBzTGqv/PPyeyeJVC3dB1B1xQSsUksl/1AvFLmZaLwSmnq5UKvHcMtrc1O12xzw3cT6Joij2rlGvmm63m4jx4blcEH26XcSVi/bBebt+d7gxq/60oUbYsZ7wmXkSgOSmWq327FNiVQR9OJDkaMA1oe4+Fko+1PgH0glFP2gyBRqe1s3KKjr6soQljbSE1KPQsf3aG3KZ0/5zBZ+kTeNUtGx1wdOHdkhx6jeGaeqV/mbLT1PAlOiMpvaosqPxOTb9p3X9Igm26lpI4eFKGZDcsJb3X7lcBgA0m00Ui8VY9eHxIQVNiR7LUtLYb0zT3M1UybHHsj/qN84shhrsastzOByOGYlMDrV2Afl8cpNrILmxdGhBVl22VeEJpaUebW7iZ01hrWmruZClbu98rheLxdj7gHVFUQRgeP861slF0TrKG3GAHc8UTngmAVRloHsb0yoygQHjHvRYNcr0waH/8GoQWlcbPceSD36nv1kSw8+hbGU0cPVvSwJCZWvb7EsRIk4hgpAG2wbN4sWHHsej1Wr1EB5VXrgixOsTGl/927ZLFTElovog1nNVDbIEmPWwHD2XioodH3td7H3F3zn5UI1RgsCVMyVOJAt2vDTFusaY2Xe7GqjKCcfFpstmP/U6KiFSlzQlhuo6QdBVr1wuBwNkeb15Pq9NiAQ5HA7HTIESFlXJ9bmuc4suboVsAVte2tyk3i08l4THLsaRuPA8qjp2buLv6vGicxOf/47JDyc8kwA0HlU+bbVaiQQG9Xo9Ppb/dGnKihruql7oXi88Rt3HeDzrUENRV+j1QaOGoD7I7PGsQ9unn9UljOelJVuwZYXaaV9sV9rqOx+SNGBJPtUYZhlaf4jwKOEIwV4DjjnHk+OnJEyTFLCvOiY0/u2kYuuzaggRWlGzyTA0Ew7LsIGmnFT0O3ttNEMb3dcYC6STC7+z6pWCbdL+9VPMeJ14rrr26cSsga82WJarfvw/ZVm8ZlwJdDgcjpkIGweqz1rriQIgMd/ZOTuk+rBctYE4d0RR1HOsPr/5mV4Fun8gF6uKxWK8OEeio25srJcLiPmcm9JTAX6VJgEYBxByZbMEgbAqC5Fm8KkhGnIDYnk2aUAacejXBovRyrBuWiFj1QaWqxGvRMCWkebOxTKVpNl+hOKWdEUK6CVq6wrbftZpV7rS1Dj+ZtWZUH+UELCuEAHVei3J1dgk+/to/UsjojxO22BX+6yKo33TujkpWWJoxzekatmgWlV/LAG3q4xKFn21z+FwzGTo89U+U0OLcSF35NDiJZGmAgEjc4B9juu5afOeXUS154TqdkwdOOGZBFi+fHlihYFubLoBqBq5aaqHBtLr6jPdiorFYrzCbjdkZBk8R4/rF5OTZuzqg4wPELsxJvtijX5rZOuKCqGk0LpXhR5OaszaFSOFnsf2alxPiAyE2hwysC1xSiMaoYe5rcf+Zo12S+TYD44XyS1JNq87P9sVNTXqdVWO6ZhDKpLWz7p5POvVNlAto2KmpEeJOTDiSsBNURXq0mbP432trhGaxUeDYZvNZkLl4meu6qkSVSwWUalUUCqVMGvWLDgcDsdMhXVNtotGFrQPmCCIczptEGAkYYCd6+zePCyPc4lCvSl0zuPxavPo/ESbisfoJtPdbjfYJ8fkgxOeSQC6qwGIs1fZVQ6FGsAhg92u3OtDQmNp1JjU8nSVXI3NUDvGAmvMKykIlREiV9aA50PGKgyjrQKlER4dE7vapGVb0pO2YmX7bdth2zmaChZSsWy/0lbRtI7QqpmSC/uy9dr7LkR4tVySRd5Ptvy0NqibgSUtlriqosIJ0yqYukig93w/ohiaxPR/SFcuOfGGMgg5HA7HTEKaih7yPtC5SLeCCC168Ri1WVgW7QHWE9pCQN2mdUFTX6E5ys5LWqZj6sAJzyRAtVpN/MNHUYR2u41arRZ/piKjRp99gNjV8k6nk4hxAJKbeWYymZ5/3pAhHFKC7Kq3PtBodOoDQY1QrUtduBQhRUUfcGp42leagW6JTsioVVet0APNqjBpyos+YHlcSOkJlRtqv21LmvuVLS9UFx/cXKnK5XJoNpvodrvx7tKa2pPXh9fbtpcTB1e91NWL9evGo8xGyPs7iqJY1dSXxsLY/tg6LLlXAhtCNpvtUe6U4Or9z7FhO3Slj0SHY2ZVTIfD4Zhp6Oex0O84zicaJ9loNBJzE5/pnANIcqwrsS5eciE5tHhKW4lpqRk/HUUR6vV6nDCKoQeNRiNuC9vezvpzfyrACc8kQLVaTRAL/nPyn05XI2wMgYLnqhFKlxtdIaFLjzXKCVWV1PDj38BIKmIrJbONIaXC5t63rnIh2N9Vsg6tGlnYVXwqAnqu7buSM22HJSNpioz+zj7aB20aQQmpSqP1x8Y39QOvP5AkyLzPoihCt9uNVQrNsqNZ10J9ZPvULdKuyuk+U9VqNf5bCQ/3ueGkQtg4G5vUwiqDQPJe03tFx0ljfux9r4sNBNupGdpIoNIIlsPhcMxU6OKmfmePUY8AbkhtF+P4TNdkTZrIgLCKjK07bW4i4eHf1pWN3yva+da4j5lj/OGEZxKA/5j856MR2mg0YgPUuuaogsJ/ZHWHU4RcmDSeQxFyPdJVb3Uj64eQ8anvIbVHDVF+1tX20RSpUL2jtbNf28fyd4iQ2L9tW0LueaGyQuWFyubnkHIWGg8lqKFJwK6EheJ79Lpw/K2/tN5fqvBw005OJhqzpi/dvJbjZj+HCGtIXRvNxzqN2JMg6r2obg9Knvmy/1MOh8Mxk2DdkUNzk4VdyLMubzr/8JmsG4La+UJtg9DcRFtH5yYSHi7CRVGUIDyaWIp1LPzizcA9/wIs+kfhhYHxHUzHuMEJzySABsZx5bvVamHVqlWxuxvQu1mkfTjoP711Y1OSY/+B9QHE1XU+AJrNZjC4P211Hejdrb5fwgH1x1VCpsdqxpWQSmTjUrT/IaPYkittv5alv1mDOLRSxfHQh7v1K7bnksSpiqAqTlrbtazQA94SGg3St2mn2W/K9UzHSX9qukZq3zm+NuGAHatGo9HzXq/X0el04pTrjUYDtVotdnNjWVzRo5LIum3MDVf57KRq74PQ9WK5vM95rP6v8P5jlkO9TpVKpce9bmhoCA6HwzFTwXmb8x+Jis5NABJzkqay1mczbRp171cvFbq8Af3nJp3buaCsz3j1PqBrG93caJfp3NTtdpHpNIGvvAn4wz3DHcpXgBe+fSOOtGNd4IRnEsDKq5oVRN16bLwBXdXUF1VX5+0qvCUZ+iKswqPGf8jIDvVFkRYrQ1gXMuvOpX3m8XYceGxIVRrN3StNrRlN5bG/WRKjUAJjkTaW66JQhcYjtIoWynBjCauNOeJ9xt8Yt8Jj9B4ieVbXSSqUSqJJeKj00H2N9yZfVuEbDdqHEDFNG2OrflrSqsGvIVdKulKoAuRwOBwzFXyW6wKlTZrE+cMuTipp0fkpzfuAc02/uUkzf/J4zjkkUtzvkC7ePIaEyL6+ctftvWTnjfcCW7xoo42zY93ghGcSQI3DKIpQrVZjBcYqEZa8EIwh4AOB5/I3NUhrtVq8kq9ECxhZFeFKjDWKQ4HyoXgXrds+vNIeflZ50XpDG3PqQ5Dnhh6eajSHFCn+bRUmSyL0QWtVlhC07pBKZtun46Z1hRSmEAHQ33Q8bNyXKoT2bx0fle61LYzpyWQyidiboaGhmLDzfiPR0c1ZOcHoO32i2UcqKgB6FELbf94DdvILKV2E7qINIDFZErxHddIEEG9GynI0gcdYyZnD4XBMV6hbr3qb5PP5+Fmryrg+jzVu1CZHAkbsAbVT1N7g3ETS0mw2sXbt2lHnJibKsQkK6vV6YuE4iiK0omqY7Gx/0MYbZMc6wwnPJIASHs1iZVeK1ZgKBePR8NPv1GVJg/+48s7f7EsNZmuMs3xLHvQ4NR5DSoOSHnXTUiKi/eIxITKi42QJiSVI1rXJKggh9zjbdr5b9SmkMPHvEOFJC6K3REoNaCU+Vp2wxMi60VnXK3WLtEkQeP/ptdJzuUs1yU6j0cDQ0FBiDyhVeNS9wK6s8X606pMdax0/qwgqydHVvrQxp+uEkhRLbPXe4STJe61cLieSJ1j3QIfD4ZiZ6KLbaYOcR5+rdmFSn/GhRbiQS7zaRnae0+QFmgCHcxMXepXwKAnSuYl/c27ivNBtRfj33f8H+MOK4QY52ZkycMIzCWBX7tUAs8Y03/sFYasBr8F66p6jqy4h9zb9HCI8QDgrWcj1zLpX2T5qv0LKiT1G6xrNnSxtbKyyZF+hfqrRbV0G7XHa9n7ucGl9tn2y4xpyWRsNllBYFUzLs66AuipGkqBEg8Gd/KxumXqtlQyExitEjtPuB6s+6TmaTECP1XI4WWoZ/C6k7tl7mK+0dKcOh8MxY1DadPi908JjH5wNlOeO/JbNA7scDez6FgDAK1/5ythVWp+t9nlvP9tnfWhu4tzI+UiT4qiLGuNw1I1fEfIQufO2W/+h7DjZmYpwwjMJoK5lukJv3db0GK5Oh4iErqJrGZpGmg8bGnS6d48GAapRNxpCZCJk/OmePqGHTMhwtAazdeezKkmIZOiDyxKlfqvy+rDVeI0QWUqrK03B4XGh5Aa2H2pcW7dDjoMiTaGy5yj5CakidE/gvZHNZlEoFBKEhwoPgzvpoqauiHaceS9a32v+xns0BPt/oWOrSQ70ex0vJU/8zqqnmqCA4HeqJlkS7HA4HDMOL30fsPhBoNsBnvpR7+9/uBdYuQjY97zEYpWde6y7W0j1J/gcHsvcpPvrWJtGvU2AEY8ItS3cjW3qo3+uVsdGgf6jWVjSYGM50tQIJTuaAYwr2KFMb0qI7D98SAVIg3Vx0yB0JTsh5SbUZ3tMSBVKO8+WYdUGS0rSiFLowWvdwPopJqF+ptXTT/FIc1+z42nrSnPvSqs77b5T5SaUrtOml7bt1Pr4rmM3FoTKCxEpm347pNRpe8ZCGPW30RRBh8PhmDHY6fXAof8FVLZMP+bhDwN//82Y3H5Dc2Ha3GqTPYXmJv1dEzcBvQueOhfw84FbLXGyM8XhCs8kgKox6rLGOAk1ypnhCkCcmEAJCs9nGmHdsJQr5lSHgJGVbx6vmygCiFfgCas4aBn6AOFDSV3qQoZgP8NR60lzfdOHX8jljcfq+Oq+KlZK70c41J9Y1Rkeo65e2h59qKqBb9WwECyp4XGazltjSbSvqnpZgqDtsuNF6NjwXtJVMVX/NGkB9zLQcQ0hpHRZl0o9V9Oc8jy7Uhgau2w2m/hfsZupqiKkvuFWgeQ42Gum/7NcYXQ4HI4Zh13eDDz3jUDTpOZ/6N+Bn181/Pnp/42/TpvzrV1gn+36Nz0e+OxWrxWbtIBzU9oCm52TdEHz2YPSp0M+62RnCsIJzyQAjUbr9kRDTI10+qjyPBpxPIdGoE0HqS9LeIBkIgG6+egqCA1CJR42dsWSDDXW+62uh87VukKf+ykRWpbGvKjLnyULqgSkKQ6h2JeQq5q2Ra9VmqKl56f1xRISSza1TSHFx45jmhqUpnDxN7vhm+5zwJSedm+nfn21PttKOPS+Yz91TyZLcvSz3s/6zvN03wf+T9i+2wmU/2vWJU4Jj7qLOhwOx4xDrgDkNkt+t8mzew5TO4Xot/AZ+p7PdXofqEdL2tzEPXzG4oKc6m1Rmdf3PMfkhM/MkwClUgnZbDbe/FAzZAHDDwZuBKk+q9YgJEIB22nuS7pizmOo9pRKpUQ7gGQ8B9C7h5BVFog0N7SQ4Z32bj+Hyg6RA+u2ZomOjoUlNGNB6IGoCo4SkX4IKVRW4bH1WoJky0sbC153G+elbdYytHw9j+k71VWAv3My0zFPi9ki4eAxSspHg8ay6QQYGhOLtPtJ/yesEmbHS9WgK6+8ckxtdjgcjpmK0Jytc7TOS/3mppCXgt1gnVlE1eOl37wQUney2SxWNksjBz3wLuDN3wE2edY4j4xjQ8IJzyTA7NmzE9lDSqVSvFKhyo8SCv4jWxcyQvPdW6PXxukAIwoE/7m73S6KxWL84CAJ0t2OrYuYqjnW5UsfTipRpxn5IeNef1MjV9WckMLDd5tNKxSDk6buhGR1C0uUlPSEiIOWF1LLLJHUNqS5cIXIDTAi75M4qxuAqnlWJQmNK4mOJijgvcF7iATGkm1LwvlOVSSU3MDeC6HgVo1RChFL2wfbNjvOWif/R9Sdj/+XdI/g/4fD4XA4+kO9RzRhks5NfLbSjgnNTUBy3tM4Us5NuhhXKBTieUcX1LQ86wnA9weX74B3vqwFrPw9sOoPwJcOBP71e8DgNht+wBzjAk9aMAlQKBSQz+dRLBZRLBZRKpVQKpVQLBaRz+dRKBSCSQaINJJg1R9r0FulhwRIX2wbXX+swW2VgDT3Kft7yPjsR3b6/T3WOmwZoVc/jKYWpGFdyrVtDqlcYynfjgERIi+h1TWrLPU71k5arDeNAFh3tFASDSo8ofvVJoyw+wlZZUjbpO22YxdytUy7diG1ywmPw+FwjA2heZ8LT/ZZra+07+zCp7q5aZlafxpC7uxr2yW8/WvPxpPVgeEvV/0BePTS8R8YxwaDKzyTAJtvvnnPxozdbjfe26TRaKBWq6HVaqFUGpZVu91kHAVXLKyaQOORhEpJDH8nqCCwDj44mIpZd6/ng0RX1lWBCEnN+kBS1ccaxzRsbZYtfRhqHSGXMvtgUzXLurHZc+352oeQrK6gOhZy6+PxmkgiLTZKx0TLsX20bnh2vK3CwyQUdBuzY64rX1bZ0Iw3qvJxQlE3y5ACZa+TEmxN9x1yI7NlKCHSc/l/QWWSrgza1k6ng2KxmCBIGsOjqmAarBLXbDZRrVZTj3c4HA7HMDiPqKcBU0gXCgU0Gg0ASbXFznfAyFynmUF18Y3PZ9oNdt4PzS0a39zpdFAoFOL3Ne1N8JFf7Y2rXvad4ZNW/XEjjZhjPOCEZxLg9NNPjz9fffXV8T9toVBAs9mMyQ4w4qqmq9gq59q9Q3ic7ixviYS+6wq5fWhks9nYlYkPHuvCZtvEz0p40ty27AMt9HCzq/VjUU/0Qcf6Q23up5RoWaHvlWj2a5MdB0uK7IrVWMq0fQm1WcdZEwPwWtJtQCcWqxKlraqFiIK6x1m3Nh1rnWRIgOx9ZImHEiS+8z7R/wWNJ1J3CUtcrYoUijWy18lOuGPZp8rhcDgcw+Dz2C6aKQFSd2tgJL7Yui/TZuo3R9m5OzSv6hxiXaU5N9W6lQ0/OI4NAic8kwzlcjmR5YoGnfqmkrQAvYqAGl5WKbGubQr9p1YlhA8OTWnN+lgmv7OkAuh1J0r7To1N9Zu1hnwaqbJ/h9SEELTMEJnhONiVIW2/pvAOKUCqMIXk+9Fc9qxqp23U30KxMjxWJwFVbLQOJTshAquqjq6kWVc27bcdX+tCpsqkXntFiPDwHOtqyXaqsmWJdrvd7snKFiI5OnYAYv9vqqRUQ22SEIfD4XCkw3o0aCwpvUm4wKrqPY+zc7b1PLBxQZzrdI4OEaHQ3MtnO+2cvJvNUxZ+5SYZBgYGYkJRLBbRbDbjfT3owtZoNFAul1EqldBqteKUi1RfgF55drRVbI2dKBaLAJLGIldVuDeQ/V1VHyBpkLM//D7NVYukQDdAtcGEfGCpgqBgmSGFIk0psWRCwXap2xTbwnc+TDUpglXQVIHQTHfa3lC9Smjtw9mSRXXxY//1+mkQaLfbjV0ndWyUQNhJRbMEMkEBSbiWY+8rEj3eQ7qKxr95j9PVLHRN9dqxnapIsg5VOZVU6pgoKbLjrvcCxz6TycTxdYVCAeVyOSY8o6mMDofD4RiBPn+ZTIeeBt1ut8etmueEXKX5G19RFMXznSo/OhfofKnJc3Re4ne6yNvtdlHMFjf08Dg2EJzwTDIwM5oa9Z3OcFYsrngAIwYsHxJAMnNXyIAPqSx6XpqLV9r3uVwufoDYTTdDbbDEYrS6+ikfaqSnlWkxVsOU5YZcnkK+v6H+hepiW20/rIwe6lPouoa+D13HUDttVhxeQ3WXDBEeG69jA0yBZIwWz7NKIKHuCXYys24LhCqWSqCUjIbUuhCZ4f+Qqm86jlSCSMqKxSIKhUKcSp6qTxphdjgcjhmN+krgd18a+Ts7vLilz367YKb2TyiTaEjhsV4M1sXNelZYIhNyldP5QEmQY2rCCc8kwxZbbBEHWjOVYqPRwKxZs9BqtTAwMIAoilCtVrF69eqE6kPDTVc59MHAfX5UdVB3HOuWo8SDBqGuxAPJFRiCDw9dRQkdo/WznrGQEpW3LSHR8vkeIiH2OzWW+VBT1zqNFeHY6UORpJQKA6FKj5Imq3RZxUPbRYO7nyJhz9FVLL0HbNyOfm9JHWFjc9hXVXhCMS+8xhajqWmhMbDHhO4VqyJqm+x4tlotDA0NoV6vo1wux4oN69dkCuVyGdlsFrNnz0a5XI6Jj8bDjfXedTgcjhmD+grg9kOApT8Z/ntgPrD9q3oOUyICoGej9bHMTdbFmlt9cGFL5yMu7unfduHKLtDGx2bHtj+cY/LBCc8kQ6VSiY0y7pmiWdK4At/pDO97oivnuioSRVFP2aHVEwA9DxO+W/c4u/rO49JieMai8NjYorHClqVG/2ir7WlkR8vV8mwiBYUau0rCrMoxmoIVarM9rp/6FTonpCbpapZ1P1MiHCIwVHPUtU2TIChp1PgvtsWu2KX1XQmN7YMlO1YtGs1lTaExcRqbw3Kp4JTLZeTzeQwMDMSfqfDYl8PhcDj+gW+dDiz9MQBgeTWLty0s4U+XvzSRIdQuToZc1kOLXGmqkM5NSoSAZEIdzZY6WtIZ1pvL5ZDN+XN+qsIJzyTDFltsEW+WRf/TKIrijG3qxlatVnsMVq5SMJubXb0HRoxXNda5mp3L5XpieHgeEyfk8/lE5rhQIH/oYWRVDJtMwcIa0loev7eGr1V0bCyLnhc63/7Wz8C2fdY6rZugbQPHQclqCHaFKaTAhRSeEImwxM0SHts2JSqW6KhvtFXaACQmFb1/bB/4N9uh6pjG5mi/tJ+8R1S90pU99dO2Eyi/t/1W5ZHua/y/4N5YjGVTBc8Jj8PhcAj+8sDwe2EW/u9dm+KJagWFQj6YNVbnS100s0izLaybtZ2jbAwp66Hy089dLTTvOqYenPBMMsybNy9OQsB9eKIoQrFYRKPRiAlPs9lEsViMU1HTwKQhS2ORhh+AnlUV/tPT8NYNUIGRFXMaf3xw6D4nAHoeFlZBsKqJdRdTKDGwufO1PCCcjtka/0p4LFFaF8LDsixGU4T44iqTfmfVoZAiE2qbfg6paCFYQsLry7aFJhZNT073Nbqy2Tgeu5eObbuSbhsjpASDrpNpq27W7UDL5xhzYcBmodNrw7Gyk5f+P5DklEqlWNXRzz7xORwOxxgwMA9/WpNDsZjc2NxuGq1QdzWdv5XUqLJjY3Xs98BIZlK1BWi7aBusK7raLo6pCyc8kwxqOOpKhabitQZ+KJg8RDSINLXDPoB0ZV8NURs0Ttg6LekZTSXRNllS0w8qiYcQIgajITReNqjR9jetHWkKk9Yzln7a40PttGXoA1xf9trZtqsCZAmjtsW6I6xLH7Qe3mOhtOr6t05U2l4bpMq4onW97kTadbUuoWn/Vw6HwzHjEK0CfnEtsOoPQLQaqC4b/j5fQS7X7lncUnvCkg5dCLTuyupebW2e0GKruq/pnMjnNxeNuRinapC257rPXjvspvdzxP1yTB044ZlkYNYn/sMxSxSTEBAMyouiCPV6HbVaLUFQmPBAdzTmg8YacgBidx3GLLAOlX6BEZWIknQoJbGqQKoehAz9kMGc5uZm3fdCZfA3XcXX8llO2mqNLVdVDB0T3Y+m2WwGyYE1htP6ZwlsyIVLFQo9RxEiLUz3yWurab8VmsCAxFbHXV3DeG+ybXaSCV0/tp/3jW03VRkAPepfSI2zfdV7nsoor5u2lX2xsWMhUsNFB7aLe0LoWOjigG8+6nA4ZiziBAU/7v1t95NRKHw2TutPTxKq6JybuL+Zzh/WRY3qPW0gHtNvcU4X49RdjnOqTd5k94YDgGIh/w+yc/VwoZkssNuJG2AgHRsK40Z4Hn/8cVxwwQVYs2YNstksPvShD+ElL3kJ7r77blx77bVotVp4wQtegAsvvBCDg4PjVe20gxq1oRUPIGmU8UFA9zI10PVzyMgM1Ws3HqUxqoaulX21zJC6Y1fDQ6viViEIGfTrovboOWM5LnSOGvTWwLbXQMuzf6fVZ9UdNaZD7R9tDPU4JVcalxK6flqnThY2zkfLtP1dVxXNruJp6lHbd+s/ba+Hrvqpa1u/9uhqnr2mdmVR/590LyOe/773vW/M/XZsfPjc5HBsBDz07z1kp9UBrvnZ5rj2pusSMTvqTZIWxwMkn83WpvnGN74xTLJqf0tv0+B2QGFYhdlnn30Sc53Gl3IO06yxd911F9DtACv/AKAL/OSyJNl53U3As189HiPn2EgYF8JTr9dx/PHH49xzz8UhhxyC73znO3jve9+La6+9FhdffDHuuusuzJ8/HxdddBEuueQSXHDBBeNR7bTEqlWrYgMviiK0Wi1EUYQoilCr1VCv11GtVjE0NIS1a9eiVqth7dq1GBoaCvqzajICoDfblq52pLkAqZGtq/2EZkHRGCKrBKg/bGiVXd8B9KSstm1XA5fH2AcmEZKylRiECIqOiQbHA0n3Pd2DiO86Hv3c1qziY32TLXQCsMa/9pWTCDfyZOwJVRYLVSlCG7zpNdTrpH3XMdUxDNWl5Jbjy1ShVqmzm76Gxsn6amtsmJ3ItE6i0+kkXEl1nwZgJBMhkxaUy+VEVjfH5ITPTQ7HRsKSR/7xIYO337M1VjeLWNEsYUVUiuchqjma6ZLPVD7rLZSYqAcJfvgR4IcXAO1GepvKc4D/8znguW9IJFlS9V9VHd0zDiseB+46DFjxu2SZJDsvOHYcBs2xMTEuhOehhx7ClltuiUMOOQQAcMABB+Dqq6/GAw88gAMOOADz588HABx77LF4wxvegA9/+MNBd6Jly5Zh+fLlPd8vWrRoPJo5JbBmzZpY1m00Gmi326jVaqjVavH+O3ytXbsW9Xoda9asiTO2WbevbDYbG2VqGOtKCcmJKjPWuNXV91AchVUFbNCfPV6N2jRVx8rMQFLepnGqRC1thUjL4bsqUiElSPuryQ8UVpFTtz57TD/VypJKrV8xmpLEdtB1jBMNJxkbHGrL0FU0+z+qLmaq+NkkBCxX7xMl1prVjeNLoqOkURUqvRdUwVFCqmRN22yvOdul/y/6PcdOY4HYdrp+8ju6fzomJ3xucjg2MrJ5/Hj5ZuJOPZKVTbNeqhsbbRQuOoU8J9RmOXy7PwPfP2f0ttRXAPe8CTj89sQiJOsCRuYIXejburIW+NKBwNq/JsvLZIHX3Qy84P+u/zg5NjrGhfD88Y9/xLx583DOOefg17/+NQYHB/G+970PS5YswdZbbx0ft9VWW6FarWLlypWYO3duTzkLFy7ElVdeOR5NmrJ41rOeBWB4IqXPar1e73nRhQ1IxtMo8eBvfJhoDA+QVE24apLNZhPZrQDE7VD/WXUZUsM05Pamx1lYly1FGhFRkhAiEiESY4mJdR+zLmv92pjWLts+21argKQpXPZYvtTvODROliT0e/EBH1KdWIe9l+wxob6mjaWqiHbiUdLCvacYy8bjtN3ASJwPgMREpfebVXVsW/ibnqtxTloH26mvfveAY3LA5yaHY+ODz2tVbnThyiZIApLP9H7P1m63i6N2WjLyxXPfCBQDrqir/gQ8+T2g0wTueRN+dt7/ATDGZ/ZTPwLWLh3+POd5wNb7ALkSsOtbge32H1sZjkmHcSE8rVYL3//+93HjjTfiwgsvxIMPPoiTTjoJBx100KhGruLoo4/GQQcd1PP9okWLsGDBgvFo6pTB4sWLY0O3Vqth1apViKIIf//737F69WpUq1UAww8WblZaq9XQaDQSrkwDAwMYGBhIyMVKWBjoTXciXdHmdWJihGazGdfBFNkaC0GoWgT0Xm9VkfpBlRuNK+K7jTUKBSoq2eLqkRIeqxQobPtChr9dhVKDnOekqU483pIOEh1VRGwslJIc3TNG1R2+9DutS7OihdQ61kHFMQTWr2VoSmiWQQKhyQn0dwAJH2/2X/vB3+h+1ul0UK/X43JsrI/92/aB7eKiQKFQwMDAQKI+JWjc44fnpSlsjskDn5scjo0P66amag5tE11Y4hxjvQ9U1VfviXLuH94Pg9sCR9wZbkSnDdz3duB/bxkmPX+4d907ssVuwL/8NzCwxTMYBcdkw7gQnvnz52OHHXbAS1/6UgDDbgP5fB7bbLMNnnrqqfi4pUuXYtasWdh0002D5cybNw/z5s0bjyZNeQwNDcWfqepEURRvqqiGKl2XGo1GYrXaBgjaeINOZ2QvHao3JD7WjUxX5/VvtoHQ+AxtCxEiOmkqh6KfYamqSSgmJ6SApCk1/dSotO9DRMm6BYbaGeq7rUdVnlB9IWUoRLL0XZURW6a+h8a037ikKW36CtWh6qAlyvY+0tVA29cQIU0bX6tI8n/Erkiy39b1zYnO1IDPTQ7HxofGxejf+r39Lm2u7I8+i6bZHPDazwPFTYBffhbotNKPDeFZrwIO+5KTnWmEcSE8+++/Pz760Y/iZz/7GV7ykpfgJz/5CRqNBg4++GC8853vxNKlSzF//nzccsstOPjgg4OGiSOJRYsWxXEXTFTABAYA4sDpQqEQkxUabjamRY05deNpNBo9mdxarRbq9XpsDALDq6RUdFhuSH3h93SX6nZHNkANGbuqQOgDkL+rqxNVAUvCQvEcIePaunopkbDJD3i8Kij2e8L6GNvvQr/rb5oVzP6WVpZtG8dOx9Kmnqb7mipyHDe2Q41/VZT0GP07bUJiGfY68B5VRS7kp63xUrbPSuA1Zodlk8TbDeaUrLFMLgBUKpX4f8kqPGy33idKkJz4TG743ORwbHwoibH7BwLJuU/nGl2MCyWkGbE7xvjczeaAg68C9r8YaNXH3oFMDqj0urY6pjbGhfBsscUWuOaaa/DRj34U1WoVuVwOV1xxBZ7//OfjrLPOwoknnohms4kdd9wRF1100XhUOe3x5JNPolKpxMpNrVZLrDRns8OZtzRdLtFut1GtVhNKi/rPKlFRo9Ma/fwcittRUGXisRrkrTEVGvegLkuZTCbOeqV1U8miEauGvs3SpQa0fbCSeIUIj33oap/48LUKkVVf9Jg0shMC2xZqr/1sy9R+2A3caKzb9vGzZpyzhNGqcXznb3puSDmz5+m9Zfti48AsubJKlk2Zrq5vGg+kL36n96GWl80OZwkql8vxuyU8bAvdOfVcJzyTGz43ORwbH6FFzBDsYhoRIjqJhc11bVBx9vDLMaMxbvvw7LXXXvjSl77U8/3hhx+Oww8/fLyqmTEgYVACYRUTrtozdqPZbKJYLCbczjRA26oGalSGVu1tcLcatvogUzXI/qaGsCUKoVz8BEkIgDgjWz9DOrn6E1ZDRnOZs+RF22I/h5SOfspH6HteP6twaF8sqdAxDbmvWRcuq/LYNoXULbvKrf1KGxeFtkXPtWQw7Zqq8kZ1JUSA+K7KpSpV/P/RhQLtY7FYRCaTiTOvKdHhd2wH28TzstksLrvssmD/HZMLPjc5HBsXOj8DyYynfJ7qQpXOczyO6rpdlLPPcodjrBg3wuMYXzAomy5sXLGnYaaqC116aBAyFsf+Rref0K7ENC41VkPduXg+jWx16bGESg3mkH8u69XdlrlPjK7K86HIvtL41N/1AapZ6lg3yaCNBwmRHparbnk8JrTfjBr07Jd9GFsXPX62x2i/dUWLv2tiAHUTsOqOXhvrIsC6rUpDYqATkMa4NJvNYJvTkJbcIfQ5TWlTN03ed6rgsY5SqRSfUygU4vuKfWo2m4mFAyKXy8VubHRp494Q+Xweg4ODqFQqietSLBYRRVHqveNwOByOcPIbXWjlAi6f73a+Und2fYbHCXFcWHc8AzjhmaTQDfDOPffc2ABlXI8lGBq7kclkEuTFroyE3H6Ifoatxl+sC6zaEFKDbJCjnhdSY+znNBUhDWlKjP4eUihUOQqpO7bfSnhCdVgFzV4XVVUs2QqNz1jcB6w6ZicidUfUvqZBV+WUMKWNRUhpC7U71EZbpyWxqg5xPENJGki2bUY7mzZVSb1NU+1wOByOXtiFRy6+6mJbyJZQxcd6IPCzw/FM4YRnCoDuNVyVpsJTLBbRbDbjhALc0Ev3M2GGt253OAYBGImd0JV7nqMrM2rcWfc1TRGsmz6qGqNQ9UBVE1UnWJ4eb5WNkGtTiASE0M8FTVecrByvahPrtIkP9BVSWNRNLZQK20r5of7p32n90r11bDyOKmJUbvR4ew6vg+5nYwmYhY0D4jG8t+yYaPuo9PF+YLp0rvDZvXE0Box12UlSsxDaBQLGjZVKpfj/S1N7WyJFFzcm8XA4HA5HLxhTHMqmqdsoAOh51ipUnWcymuGyXeJxrDuc8EwB0NVGXb9CGyPqDvF0ySKp4QMD6I0TIUIr6SHjW4P/rdGqagGhKo7+ZlfplUTY+kJ1WGWj398hJcb2N6TIWPKjbm6W8PD4TGYkrkSJWiibnB0/LSPkfteP3CkZ4TiHxkFdHDW7n1VENIbLJriwbouhlTetN5RgQNtJwqMqC39T0qL+3yRBej/yHL5IUqw7WzY7nPSDMTm6N4ReP02OwEUEvhwOh8Nh0O2ggAhRp5CYk9Rm4FxDO8UuJurzWhMztVotoNNAMeeEx7HucMIzBaCbLmpwP1ezS6VSwnDnyrg+bDqdTpyG2sZk0AVODV19IGlchT3P7ttjjeuQwd4vKF6Nfr7bxARqyOt5WrYSF1VWqOCoWmTVG46XVZVCLmjaZjW8LckjSChs27Vce25IMdFxUxLAOvR66vE29bZea45N6Fztr0Uobqmf0hZybeO1sfeLtrnZbCb+F2y8ETMFKunWewdIqoqlUgmZTCbO0GaJKideVSytCupwOBwOALOfBSz7KdBt40fHPwnky8DgdsD+lwDPfjV22223xGIWn9f6nX4GRp7/D9/5n8B33gus/AvQbgBRe6ROh2OMcMIzBWBdbnRVO5PJoFKpJAxoutwoaWi1WhgaGooDuWk8Mo5BlSAAPUYfyyHUINdUwQqu2qshz3P1GLsfjP2ef6u7EusPETBbhw3K15gO1mHPtWRH22T7qufryxIKXcnSfqpRHYpr6qdUaXssSeJ3CptxzKpPPFdjqeyKWz9lKU3N0+tjj1Wyas/vdrux+5juM0RywnK4m7ftsyVoen2sS5uWTXe/RqOBKIoSbpzM4uZwOByOf2Df84HFDwLRSqCxevhVXQbcdShw5N3x/n7Wc8POWQTnnd22GAJuPxhorEnWl68A+3sqecfY4YRnCsCufCsRUUPRGuchZURJg/1dzwH6B5KHYI/Xv0OKActTFYmw8TP2ZdUV1mfduliHJVSh87XN9p3laPu0DCVzoZctU8maHhOaEFTNCrUlTU2x8TSWfGh7QmM2VhXDkks7aYWOTVOQQm1lmZqV0CqCLFOJYghKWqgWKVmyG+VqmdlsFmedddaYxsThcDhmFOa9GPiXbwHfPQtY9QegVQOGngLaEfDlI/D4594PFAbWrcxOE3j0khGyU9kSKA4OK0ev+Aiw3SvHvx+OaQsnPFMAIVVH4wtotDF5QaPRQL1eR7PZjJMWMA4CSK6k0IjUmAW74g4gSJaUPFjDUAkZj2Hdasxq6mGF1tHPlY0IERRbHlMKa/vSEjRY4mhjNqzbVQhppCJksKta0Y/w2PN07EPxLIRVxoCRuBqOD6HEN62fISXFKoG2z3ot9Fgt3xJfYCQAlv1Sl01Nsc6+aRCsXguOc0jhYTwPrwMTgygBYpCtw+FwOAKYvyfwLw8Mf243ga8eAzx+xzDp+eEF/c8dDdu/GjjyK+tOmhyOf8AJzxTAySefDAD4/Oc/n6oWqJuWuq3xpYSB52lcS1qMTsilyipJCqtCpUnXbKsavlZBSUuuoMZ/qH2hv9lXulWpcmSVIdu3kBJk+x4at9C48LOep8a5HT97vIUda1uHVfj0GigBCik8On6WPIT6qOfRBcy2y46ZVRM1lkjd/QDE93UmM7JHkiVI9v/Bujgq4VGFhyTJpnxXolMqlVKvg8PhcDgEuQJw6H8BXzsW+N1t61fW9gcDR97tZMexXnDCM8VApSGU8YuKThRFqNfrseJDqJFrjVVVWlqtVpyRKs3QZapI6x6X5g4XUgBIzpj4wPZTN4vU1fs0shUiKqHjdAys8R5yn6OSFiI9lpwowVDyETLMeU20jWmEh0Y4x1mTUljlLzTmIeVI22JjjkKw19iWEQpC1bJ4//EaKgHluWyDtlv3wmk0GvH9B4yQZv4/UK1Mg3Vv5LWxiR+sghZylXQ4HA5HH+QKwGELgafeB6z96zMro7IFsO1+gD9/HesJJzxTDNatTFWZZrOJoaEhRFGEoaEhNBqNODNbaBVc42RoTPJ7kh6NZbDuX1SOaECqexHrYfn6TiihYZC4utAxkF8NUSUeVoEJxepYpULboRnvCB0rJVtp2bmUbKhiZtNXWxdAvo+mkOl4cxxCqtRoLmYkFlq/EmB15VKixT6F3Om03pDKpCAJUmLJ8guFQpwEQMfX7hHEexRAnJmw2Wz27Nujyp2F3h+sS4m3ksvQNXE4HA7HOiCTAbbee6Jb4XA44ZlK0FiFtBgXq4rw3cbOhMqmMa0r31YNoGGp0N2TQ6RgNNg6+R3fQ6qEGt4hwhNSmux3ae96rP0+zVUtZAzb89IC9dPq6ld3vzaF6ghly9NrTlj3Om2jVZMs2VGCltYv/Z73pI05sipkSF1T0mJVNb1vbSpyvT9J0EmY1H1Py01TCh0Oh8PhcEwNOOGZQqBao4ZYu91GrVZDs9lEo9GIUy1zNV9dfmiIqhFHI7HbHdl/JYqi2EBWQzcUUM7zSLb4OUQ41NAGkAgIH9lBGYlVev5tlZjR1B0b1G4TFFiiou/WvU0VjzSXJ/vOlyYjIEKkzsYpWYTOty5mShR4jCo3vKY2E5nGyfQDXc801iXkDjeassJ7sVAoxOpSsVjsIe4hhYuvVqsVu7YxrqfRaPSQl1wulyDoeo1YRrPZjLO0sU322gBIJP5wOBwOh8MxdeCEZwqByQv+8z//M2E80ujTJAA0+qwRrkYx/1YXIJYJjBh7VgWwsCrTaAipTWyHKkhKONKMaJ6rZVjCosfbOJV+ispYvw+RJ6tQWEUmpISFXNyAXnc1G1Ni+2jbrKmYrQsekNybJ9Qm/azkRl/a39D1sqogy9OEASQhbLO9XnZfJt6rSmp5nJJTq9ypkmm/V3VIx+jUU0/tab/D4XA4HI6pASc8UxArVqyIP3c6HVSrVbRarVjp0WQCqkRYI58r2vod4yLa7Xb8m1UE1Di26oTG/fDYUAyPNS7VIFaXJ75bA1rLVXJnSRo/KwlJi3exBKkfkbHjmslkUCgU4s1huZFlKIDejoe6Wyn5VLUmTZWy52rbdeyUpKg6w3YwSQXjpix5tpt9qnJllZiQ6x6vt25SS9XJXg/tn6oumhaafdb4mzSFh2Os0Dr0PNZlCZzD4XA4HI6pCyc8UxArVqxIGMO1Wg2tVivOzAYk3Z3UMGZKZrsqr8Y2DUC6/KiSEnKj4vlWOaFBqsdZWDc3lmVdpEKqkGbvUjcudYFif/m9JTzsiw3MZx8UakBb5HI5FItFFAqFBOFR10CNNVGyp9copIRwfLRuVexYhs00ZseZLxr1NtlCu92OM/uRSJBoqEucjblRRaQfSdD7kGNDomFdz7QcKkBKZtSNkv3Q/XfoNqftSFOxeBzJKq+nttPhcDgcDsfUhROeKQgbS6CJCmg4qsGoRp8agvrSmCBVMayRaEkB69DPVgUBEBuh/WDPYblqfKo6kuZ+lbaaz89q6JMoWdVGy7EKjy1XDWOSInX10narGhVqf+h7Qt3YLKGwapGqN0oGQ/VpP5mdT+N6LNGybdF7T8c0BFWJVN0JueXpPjlKjtgnHU+9J0PERgk670O9V/WaWWJsia/D4XA4HI6pBSc8UxBr166NP6uRB4wYiSRBGoRNBYCpfKlKKLlptVqIoghAMphdDUsbr0MD2aoANpFBo9HocZciVK3h31RJlJSxrNHihaxbHL+jwa191ngP9hvozd4WMob5uyo8+XwepVIpcZxNJa6w9StCfQy5kak6ZI1/JrFQosBzlcxoDJUSIZIBO76heCMtW8eO15YJClS5URdMvhjbk8/nMTAwkCA+ejyVKf6txNq6LaqSlc1mUSwW4zpKpVKs8FgiNhpRdzgcDofDMbnhhGcK4qabboo/H3PMMQnDzrqs8bPNXEYjXeMiaMBqxi4b3xIyctUlyG4gSbDMsayWqxubzSy2rvEUIbc0VTY0iUOagqPn6UuNenW5Crl+KYEAeomMVZiUsI3mDmjL4PW11yt07bQ/lnCGSFJa+9MUJ+uyqCSL45NGnDTZAokJ72GOi1Vx7Ev7pYTHKolaj5LsM844I9g2h8PhcDgcUwdOeKY4NG7BqhRUc6iyWNe3QqGAcrmcOI872auRCIwkFaCxqMYm6+fqeMgNyLpxWUNaFSq+yuVyT1wGU3MzxoT1a5k2PodgOTRutW+qvtAIV6WA40t1SGNzeIwea6GkUeuz/bexUbYfSmK1XRoTpIkjVK0iEWJsjh5nSVw+n0ehUEgkMlCli59V/emXoIH9Vnc2vlh3u91GFEVxX5RIKylhW1ge+xBFUTwWSrzt+Cu031pHKBW6w+FwOByOqQknPFMcGoSuxieNO7q3MakBSUE2m0WpVEK5XI4NO5ZB45TZ2oARwqOZ2axhSqISctEKKQUhxaNYLMZEh65M7CfbQIOdUOObbbOxHZa0aPYudauyLlbq8hYiPOqiZt3FLJSojdVVKk21UJJrlaQQkVJ3N9tPG6PD/rGv3N/JuvZxzJUs6BhYVUVJHgmXnm/vBRtnZvupKk+3243JuvbXukryO+2rvpPo0DXR4XA4HA7H1IfP6FMcNObSXL6sMsA4GBq03HBRVRHG+FBBsfEgoSQGqgaNhn4kQY1ONXBVObEGcj9XLSV4LNMSHhr9qoLYGB8lF9oW/aznKiFin0OKWRpUjVDipUkILIG0cT08F0gmFOD1UhKjSohVn1RB0rHQc0Kqlo6F9iF0zfQa2faFNvy0953ek81mMyay/cZW/x94r1ui5HA4HA6HY+rDCc8UB7NqASMpfK2aUSwW0W6343caeMViEZVKJUEuoiiK9zSJoije10ddvpT0aJC7uiyluQ6xzc1mM2E4a9wLXeOUmLBMa4ha1zNCVStgWDlisDwVMT2frl7qdsa6VC2zREzVJj2fYP+Y6lkTL4Tc36wBbxMQsF/avzRSaMu14wWgJ6GB1qVuhpboad9C11tdyyxx1LZoOd1uN06iAQD1ej2+n3mfW6KoG+6SGLFPvPdD7p48XvtN8s86HQ6Hw+FwTA844Zni+OIXvwgAOOmkk+LvLIHgd2rccQXc7nFC0mINciU8Vn2wxqSqJzY2hZ9VFQitxKcpBiFo2VaxsBtdqkGr7eP3qm5YtcMqGzzPuovZeBggGSeUFkui/bEv7aeSzRBsG/mdJRqqitj2Wjcw/S1UvpZrY4vSjrPvej+o+mIJrW1nSHFUwsrvQ2OsJJ71nn322b2D6nA4HA6HY8rCCc80QblcDq6+FwqFntgRYCR2hWoK33XH+Wq1CgDxhqbWWLduTXQLokscPzPZgMYEaaKBbrfbEy8RMvg1BbEtA0ju16PuXRwHpoqm0mONao2tUULH363BzN8tGaSrYEjB0T4rGVC3OGvEq4qiZEwVJatuWcKnBMTWxXinUPyNwqo8SqZZHv+2BJffq8JlM/epcthoNOINcEnuGFdDQq/l8xprO4GR7IAkuzxeY6FarRYajQby+XzQfc7hcDgcDsfUhhOeaYJSqZRwN6MxpwYt0Jtq2e5DokSBLnDq1qbqQsgdi65qNMyVTOj+O0o4tH1AcvVdjX0bK6T9s7Ezml4YQLxHjqYe1vpbrVas1qjBrvu9aPv0M8thcD9dr1Q10baE+qKxNZbo2bHWOvVa8lhghPQokbEKSrfbjfsdilfR+nm+EinbJo1/UVKq7dSEEKqG6VizXfV6PS7LEh6SG73e6orGe5B12EQOOu68/iRXDofD4XA4phec8EwTkPDYPXSsIavGsnUFo8Gn8Q+tVguFQiFOUdxoNBLnAL1KC7+zq/nWSLfttIawNVJZhpIPq6JYpQIYySSm8TfWLYqKAQkQyZbdW8e6hWm6b1XPlDjZ9qQRHi3XuiPqe2j82HYtVwmgop+bmR6T5nZn1TPtE5BMyMBjlYiTwOi9ymNUwdM9mHiddVx0g9C0GCP9bImdqmWME3LC43A4HA7H9IMTnmmC2bNno9lsxmoM3wkbDE/FxcawACPkp1KpxOeybLq28RwlD+qmpO5tmigBCGdVY1t4HJUbNVI1VbaNFWL9GtvClX/duFJjeXg8FQN1g1JDXlNys22qRERRFPeDpEhjoDie1g3LKl48X6+HtiMtboZlqKrClyax0HNCKpVtm431UfKk++lYlzu9DiE3MvaT7bP3Jcea147JBJRoqWubEtJQrJH9nteO2dxC96PD4XA4HI7pAyc80wTvf//748/nnntu0Ijt9+IxaiDaPVa4Mg/0Bo6nBd2rUR9CyGXNGvDWPW40A1X7MxpCMSnaLusCGOoj/w7F+Njj7d+aSMK2KS0GSOvTepX4KfECeokJocTRtlOTMejfqoDpPWGTPaj7oxK7tJgkbYONNwqpZGljo2NoFSC9XjaRw5e//OXU8hwOh2NDotPt4Aerf4A/1v840U1JoJQt4aDNDsIWhS0muikOx3rBCc80BAO+1YikOqNxPq1WC9VqtWdfGoKr69wMNJvNxmqGrsZbdy8gaRwDyaB5Xe23KgJjN6jsaFwFlaa0PWxCsRnq/qTGrY1/Ce1jRJLHczXeiC+OEdtnx1C/syRIyaB1QdPPWp+6q2ncD2HjfZSYaB9VudIMZfpSVz0dVypneu0VVMGUaKj7mfbLJjqwMT9WnWGfqMKF7hFVfKjmMX5L70P2j+qlw+FwTATa3TbO//P5+OrTX53opgTxmb9+Bp/Z+TN43sDzJropDsczhhOeaYiLL74YAHD66acn1BK74z1jcmj0WfcnGo50B+t2u3Hq5mazGQe8KzQ2wxquamyq4U7QAGa5GvzO8pQkhFb9Vd3gd0oUtF6rqoTKtP1jP1SxsAqJfQ/FwqiaZdui9Wi7bPY4ewzHVt0A2U5eP9tPG/+j9whdvjT+hufqONsxUsIDoMfdLDSG2m/th70+2idthypClmTbLIRMV91qtXDFFVfA4XA4JgqTnewAwKr2Krzr8Xc56XFMaTjhmcawMTAaQM5V8Wq1GpMaXR0PxZhwpVyNY42nUKNd3aGsQazt0RgPvqsrlo290E07CesWx7ZRVQjVZ128Qu5varCrAsU+hc6xbmq2X2yHKlA2ID+UDMC60Gl9Si5CLoeh+kPQmKdQIgZtZyg2iFD3RxtDk/a3jguQTHJg3d5snI62L+26KPkpFosAECtzDofDMRGwZCeHHHAbkFuTS6jU1mNBn5OcLzV+1y5u6hYGugimLuuxEp/JApmRhbnuwV1knpvZIKRn6co2bvjWWvxhadhrYzRkM8Bezyniba+ahXLBN4t29IcTnmkMDQjn30p2ms0mhoaGYvVgYGAg3q8GGFmpB0aMfu5cT6iRHIrx0DJUIeAxVEd0/xlNfBBSgNT41nZYxYblWFWIblAa15EW98O2MkudTYygLm7qKmbjWKhOqbGve8OwLtsubV9IEbJkjgRUN93kcVb1sX3UcpiNzyo5bJuSBau4WeXOurVZNzhVgOymtZrSXGOCaAQ0m83EeTYRgl4bkh3uWaXKnMPhcGxsfOwvH0uQnUt2ugTnfO+cODNqPp9HuVyOFyV1rzEg6blBl/V6vY5Wq4Vms4l6vY5Op4MoiuJnqC5U8t1uys3nc6fTQet3Lex6za74xdAvYtLz+V0+j2eVn7VefV+6so2P370aK4eeedKYThd49PcNrKp28O5DZzvpcfSFE54ZAKsM6Mq9urzRyNUUzZZEqJsb9y6x2cRURaFSEHJ9C7UxRD6simBduWw5fCeRo3FLsqebiJKkqHpgN0FVAqeky6pRSlJsOzWeRd8tMQm56dkYGjsWWpf9zcb42H7Z4636ZI8LudBZNzk9Jo2c8nzrthcqV8kjoWRZz9NX6P7Qa+GEx+FwTBSWNpbirr/fBWCY7HSv7uKc/z0nfkbR/VazVdr95VTB4cIUF/T4OxfgdH4ajfAoslEWvz751+ieOqL0LFy+EO971vvWuc+P/aWBXz/RQhdd/Pj3jZjsbDYrg6f+8hs5MkRcOLcDXXSBbhelTbdHrjgLv/trC5+4ezWeu3UehWwGez+viO02d/PWkYTfEdMYuVwuDsjWlXJN70xVZs2aNajVaiiVSvHD08rmAFAul2MCY12wdDWd9UVRFBMjG9OhYLwIkysAvXvSUFnQCUENet3HR4PhlZBofJE1jDOZDMrlcvzQJ/FRtaFer6Pb7cb9ajQaidUzhY6P1mX3l9G+WsPeEjglH5zYqJxoqma9drYsfseJ1Kox1o2QxFHvq1AaaC2D59p9oXRMbPICVd507ElKGTem5elKKDfPLRaLifZZ8sXyqWQ6HA7Hxsbq9ur48+vnvh73/fI+5ErDz9ZyuYxyuYxCoYBZs2bFnhelUil+dnJhiM9PzkPVajWee6vVKtrtNmq1WrzlA2NkOZfqhs66CEQyFUUROu0O2je30T1/eA5Z1V61zv2998c13P2jWs/3287N4cwjZuNNR3448by2i1bWW6LdbiM3+9nY9Q2XoRp18adlbfxp2fA8df8v6jjtdYN40fbFdW6nY/rCCc80xqWXXhp/fuc735l4WOiquXUl474nXPWxbnEAepQNQmNK9HuqK0pWQu5qLJvfASMr/nbjUCU8VsnQuA8SHfZH62F/1M2MhjMnBH3QMtYpk8mg0Wig2+2i0WjEahbB87RcS3RszIqOn/a/nwJkSWeasmHJTlp5Ot4sy8YkqUpiy9HJSpUwvSZWkbEbyWpf9NpaF0dNUkB3D71vQ+1kHR/4wAd6+u1wOBwbC4ujxfHnfGZkHtKNvzkf0bWNc5PuJQcMP9c1DpdzEud1Lhjl83k0m82Y6KjCo4SHz11drMx2s2jjmcXaPL6kGSQ70Yrf45GvX4I3f34odSNpnXvYV45TY82f8b/3nIltX/nvyFfmxOW22sCnv77WSY8jASc8MwQkFKqCqMGvaDQaCaPXui1ZNyTrrqTuQqoGpKUy1ocZV5742dZpSYO6PYVcqSyhIzGhOsD20E+6UqnEKbjL5XJiXDqdTuwnXSwW0Wg0UK/XE+59VNFIfqx7ghrgltjxM/tiU2XruRpbZVWktGtPcDIJkTAlgDb5gMbQsP1WQSHJU/IZmsDUVcOSNJJbvZe0bQDiCbpcLqNYLMbp0zWGiW3SMbMqnMPhcGxs/HTNT3HOn86J/37ewPPiRRuSHSo8lUoFxWIRlUoFlUolVrHtgmJobuKcRG8PxvbweWrnARsbBCAxlz1TLHpqZDHw4BeXcN2l/4ZCDmit+ctw/f8gcBrnqR4RChu31Go8hSe/+W5kZm2LTqeDTXc+HHN23N9Jj6MHTnhmCLhCrq5tXOVRULEAelUJoH/MiMZ8WMKjK++hmBKuKGUymTiLlgb1W+PaZmBTdzXti8baaIY39XPO5/Ox28DAwEDs1kYSpOXTFbBcLqPRaKBWq6FQKKDZbA6vODUa8XHazhAZoXuBkjabFMGSBF2BY/lWMbFjqi55eZlYrO+2Xl9CSWMoFkuPUQUnpPiwXr0fNAORjVey15eKm6aZLpVKCZc2JUgcA0vInPQ4HI6Jwk/X/BTvXvRu1Dt1AMB+m+yHIzc/ElcXro5VnXK5jEqlglKphE022SSeoyqVSmJu4rNWXdeHhoYQRRHq9Xo8N2Wz2ZjwRFGUSi4AxIuDus+eTUSzPth56wLqf/8t8I8+6OIXF600Xsku/OnCbb1ej9356vUnkel0sPzRy3Hwwa/GTxY1Y9Jz1pGbYMf5bu7OdPgdMENwww03AADe/OY3Jx5yunoPJBUGYMQVzQbNh4zGtOQEaujyOx6vx1nFSVexQvExCuv21e93PU4fqrq6xncdI3WJ0yDRRqMRG+Sq2lj3NRt/owqaJSehvuoKXIhQpEFdv1QBIeHQxBNKFDR2S8kY/w5dBx1rdYFLuy6htlLhsTFc1p3Rvqxrn1X9Lr/88r51OxwOx4aEJTudn3fww+t+iEMKhyQSEqjaw8Ucqti6uKOLYTo3AcPPUi4SMV6Rc72dm1QRB0YypNp5Zjxh5wV11WPfbVIktpGLtnbuJFG79aIjMW/vf8Omz34FWm3gO7+qY8f5g+PeB8fUghOeGQauipNMqI8skDRs+xnhfOAASWXHrvJzNYp1K2yaZz7o2Tb6GKuRTZWG79YQ5wOcypX2TX/nOMyaNQulUgmbbropisUiBgYG4lU0ug9orAlX0UqlEhqNRryPEVfRmMwgiqJEn63Llsam2P7YrGw6NiEXRA3GV7XFqiU8f2BgANlsNnaVCJE7bVO9Xo+TSdTr9bhO9kX7p0qPutLppEV1Ua+bHV8lLpZ0qsLD9it5s+Ngx9/hcDg2NkLKzvev+T6K+WIcm1OpVGJPA85Nm2yyCUqlEgYGBjAwMDDq3FQul+OEBYzZ4dxEJQjodU8PxcNqRtPxBp/vSujYL26Roa7KfK6rS1utVovTb/MzXcxX//oWbPrsVwAA6g1X9R0bgPD8/Oc/x7HHHosHHngAW221Fe6++25ce+21aLVaeMELXoALL7wQg4POtCcKIZ9Yfm+hRrN1Q9OsZDaTmBKMfql/lcyowsNVKavwaHpNNZZDfbFqivaPD3kSI32w8kUSoLE3qshwBYzkJ5vNolgsButShMgXx9pmaAsdZxU5G19lYYmgrqJpXxm3pBMoX3T/Y+CrrdMSizSFx45D6L6yypK9XgBSFR37Hdvpyo4D8LnJMXHoUXZ+1sH3r/k+sp1snJlNFQ3NPqnzUmhuymazcZyOKjycmziXhpIJAcnFKt1YW3+z+EPtD/jl0C8BAM8tPxeVXOUZj43G6nAxi1np7Nyki3F2biI5Y4xSp+vbDjiSGFfC8/e//x3nnXdevILw+OOP4+KLL8Zdd92F+fPn46KLLsIll1yCCy64YDyrdawD+OCzLmpqbKtBy79D5ELdjvQ8JTGa8tKC6TH5udvtxgHofPBpHIe6kWmdGgdjpXkb60Jlh6tkzHxjA0PVbYATEV0E+KDVzS81jkdjeHSlzI5zaEzsqpseF4oDUtLICc0mQ+D3nEjZ/4GBgVjtq1QqCdKgsV7sE+tWEqNEjWSI15LExbqhqfrGMtQvW7+zk2+ae5yqSTqGruw4AJ+bHBOHoLJz7fdRzpcT6kahUIiTsDAttcbyqPeBZmvj3KQkgHNTq9VCoVCIs5SqwmPdlXURKkSKykNltFa20N2si9/UfoN3/PYdAIDZudn4+E4fx0tnv3SdxkUXqrT/Gks72tykCYMAxHFK2WwW3XZhlBY4ZhrGjfC0Wi2cccYZWLBgAY4//ngAwAMPPIADDjgA8+fPBwAce+yxeMMb3oAPf/jDwZiDZcuWYfny5T3fL1q0aLyaOeNRKBSCK+tqKFvFQAmPdbXi7xoYr+WQtNj4EKo5uqLU6XTih72N+wFGkiiwDq3Pxv+kQVfMdFJR4sMHLAkP+wAk9yTSSYUPWraP+wpp+1Q1URc0ex1sACm/D5EgqwjZWCxeF43Z4QTLCbRQKGBwcDAmd1wxZD8Y8GrJrF57zRJE1wptr/U3t8qduvRxnDVVtxKY0Ljp/aduhP1imxwzAz43OSYKT9Sf6CE7l+50KQ7KHRSTF85HutcOiY4SnkqlErsj082LSg/VGT6P0+YmxrjogpL+beNqFeVCGfmFeTROaWCoMxR/v6a9Bu/5/XvwxRd8ETuUdxjz2Cjh4fykew9xTp41a1bCM4F90LkJGEnNzSyz7aYTHkcS40Z4LrnkEuyzzz7Yb7/94u+WLFmCrbfeOv57q622QrVaxcqVKzF37tyeMhYuXIgrr7xyvJrkCOCzn/1s/JmTv81mRrekfgH0QHKFiOVYI1OD4VWp0BV56zdMWMOWSgENeA1MTwvmt+3XVTH7WV0ENAMOjXQlH9zzgAoWgDi7nJIDvuueNNpu7RfLVjetNIVCx5hjoiTH7oHDfti+a5IGnVQ4sWQyI/sNhRJPqAubqnXaL+2DxthYN73QNQt95nhyHENjd9lllwXHzTHz4HOTY6LwjRXfSJCdR97xCF6NVycUC30W23jEtLnJuvPy+QwMz7k0/qmm69zE5yYX5YARDwu7qKR/Z7NZFJ8oovCpArJ7ZNEtdNHcuono2RGiboRvPP0NnLzNyWMeGzsv6IttJxnUxThtm85Nug9Rv7nTMXMxLoTn3nvvxV/+8pfgZn5pbjshHH300TjooIN6vl+0aBEWLFiw/g119IBGMt2RgBHjWFfM+cDkOUy/rC5a+iDm8WrgqkHLevmgbTQa8cMqzcdYH/bqqmYTH6SBD0V1X+MqEuXzYrEY+z2rG1w+n+9J7MAJhgpFNju84Vuz2YyTF6jqwTGwe/RQRdL+a19CfdKU3aqwWFXJuhdyEuGKIVfSQgqPpjplYgYmLWA7SVpJsKwrGtuogaeM0WIZvAfUFU4nL0u+eW/acbJpTB0On5scE4lGtxF/Pnbesfhl4ZexxwDd0uhhwDlJFR4qPlTlOTepmzDnJj4z7YIgSU7a3MQ01TYRkc59nO+y2SwyqzMYfGgQmUwGte1r+Ouz/woAiLrRmMeF7eeco+7WHAfOTbNnzw7OTWw/56YoiuJ5Z7itTngcSYwL4bnjjjuwdOlSHHnkkfF3J5xwAl73utfhqaeeir9bunQpZs2ahU033TRYzrx58zBv3rzxaJJjDGCq6re//e0Ael2H9MGqRndarAiQNOL5wLQGu13ZUfIwFhckG8ehhIjvVi3gb3YlyfbRriClxYOw3WlJFlSB4FgpYVNCYBUd+70dM/07bbzSEiCw7SG1RycVLcO20Y6nKlehpAx6T1iFJzS2es30d+uup99pfWO5hxwzAz43OSYTdN6xiQr4/LVJWfiZx+jzMm1uIgHi3KQxmJp8B0BicSk059l5NbSICQA/W/szfGvFtxL9nVechxcNvKhnHELtZ19DihcXyrQPjPUNzZ9ah8NBjAvhufHGGxN/77LLLrj++uuxZs0aHH/88Vi6dCnmz5+PW265BQcffLAbJJMMDLbXh22n00G5XE6QGpuNy0rjIUNWV9ytgcrvQmoNH9JajraF5XI1yz7o+LBT1zR14aIbl25wZu/LULYxrqaR4GhcERMX1Ov1OD5JFR2qGPxeJ6RyudyjWoT6w7G1SRnscQpdSVOVR985eShB1aQDWq6qOOyXxuHwb70PdBXPjjcJr7plMMaKSSbYZ63Lqj5sv6qRjpkNn5sckwnqQcANrqno2HgeNfbTXLTs3ASMzKmcm5i4oNlsolgsxumbdY7lefybyXn43NVFSSUZpZUlrM2txar2Kvx86Of4+R9/3tPG1815HfbtJhVWuyiqJMdmTuXcRPd49WLQOS/kYu9wKDboPjw777wzzjrrLJx44oloNpvYcccdcdFFF23IKh3PAEwWoHucACMrJGpgqqHLc0MuZSHCo9m9FFYZUILAMmwsh13R0XIt6VJFR9N96r4taWVpndoXNdBJbrLZbEweM5lM7KaXyYzsHcBzgRFfa1WjdDXNqik2O51dyVLSp2NrSZRdQeOkoquJnOC0fSybxI390e/0HuGkGyJc2nYb8wMguMmeTnIMVNVrzjJ4/zocafC5yTERoMsWF3I0VsUuCukCVJpaoeq6Lvzx+c1nuM5NABIu1Do38bnKtti5KbSQ+KnnfAqn//70RCIDxddXfB25NQcBeEn8ndoHIRVLSY8uxpHMab+AXk+HUPyxw7FBCM9vf/vb+PPhhx+Oww8/fENU4xgn3HrrrQCAk046KdWNShUW/U4fhCHCEFJOrGGsDycN6teVGlWWdIWHsJK+PpBtsGfIDUATJ9DIt8qKTkCqLLBO3Zun0WgkDHPdH4ErcbpqZcfV1s02EnbMrOITcjNMe+kxWp5meePffDHmi/VoZjqqWLriaANxbX/1c9IPO3nd1Efdtqvb7eLiiy+Gw5EGn5scEwk18vlZF4Xss1+fwzon8hjGRloFBBh5rnLu4dxEdYcLQ3xeA8nFOHWh08U4XVjLZrO49uxrsXN5Z6zYYQXa2X/s3dbpIspGWPFPK4Ac8Hj1ccwSwqN94Ge+c+7W4xR2TIBedWf43dVaRxIbVOFxTC1YVyN9IOkeOBqPAiRXi9T1CECPixGNZRrH1rhWqAuTBt/zwc3ybHu5ShbyNbZ9tAkUqNQo2WCqTAaYapkMoORqUxRF8bhowD/r4XcaCKrEL41ssq86hkpALEG0hMyuqNmXjjnr4Mof1Rxeh2aziaGhoYRbmSagYB8ZbMt7QF/aTlVrlKTqxns2OYWmJtedxB0Oh2OygnNTNptNqDrW44BQF17d3w0Ynhc0tXW5XE6QEd0qIJsdTlpg5ya6aOtzm3OzurOFvDN0nix3y9j0D5ui2+0iiiJ0Oh3UajWsfslqtGe10UFysVQX+tS1zXoiaB061+gWD3Z+sguzDgfhhMcR46qrroo//9u//RuAsDSsyQ2sf7FdmQmt4AC9KzIsNwR94CrBYXlUBawa08/3WetUhaDfA9M+kPmdxiDpBqSa2UbfdRVNA0itKmPfdfVO+6QkRScFq6yFrlFoPPhuV9KsGhcaPyUidD8LTWC8lrY9ViUMuS6qKwPb8PnPfz61Tw6HwzEZYD0hRnsW22ew3d8M6N3jTJ+fJBaca0isqJLbOYqLc1ToQ4uRoXmE86/ug9YvW2aavRA6RsmXHZfQ/ORwpMEJjyMIxp9YFUYD2RloXywWEyoDDV9gZIVKiQkfSnbFirAqDgmBEhiNNWE9fKVlkWFb2B6mtux2u6jX6/FKETdpo0uWjoOdWNTVig97dSFg5jb+zjarC4EdrzTCxXNZP2EnRPaDY8Z+6IShY6bt1esfRVE8Rty8jmM3a9asBMGxaULb7XacapVKjfqma7s5IXPcrRLFSVonXq549hsvh8PhmEywKr5duOF8yDTLnU4nTiDAeUNjMHXOtXMj56qQS1s2m42TJ3BO5HOb8wXn67TFLqA3rpTlqQtcCFa14WcdC53P1I3czk3cImO0jVMdDic8jiB0R2aCKz/AiJrB72n02nMA9Lh1ETwH6HW5IkIrYiFXLNbDukKrZ6oSqZsAgISMz/6FXPTYJq6I6aTCiYKGfbfbRaFQiN8bjUbcTlWllABpXTYeR4mj9k9jnlTq5xiFVr10AlM1Rt0bOD7qtkcSxexyrIuTr07m6qZhg3DTxlMJT4hcsn1cuaQ/usPhcExmrGytjJ/5aa5r1oUNGFl85HG62Jc2N9l4G87VzWYz/sy5id9xga7ZbCYyY7IduuDEetXdmn9rHGYalPBYWAXHumtzbtJ3dWkjssXZY742jpkBJzyOID772c8CAN75zncmXJBUbVGjW1NP29gOPjjV/Ysr94znsOWpyxvL0TqsWxkfsKp8WPcvS5LUX5mbsZGE6e7OjDnKZrNx32wMEOvpFyejyQoAJFwGWJYqPVq+EpoQcdRytc86FqFJhJMriYPGxfClyo7dlJUrjsBwylVOjjreIRc1vQZsl9ajJNK6uZHwcB8ph8PhmIzYrrRd/Pkjf/kIPv25T2O3Wbvh5JNPTqRj5gIRn3Gcm+iGxrmJz0TOw1Tf+SxWV+Y0MmTnKLZD51hV/+0inFVl1HMitJgYQmiRzc5zfIXmJut1YLcpuORTn8XH716Dv68Znhu33NQ3o3Y44XGMgsHBwfgB2W63Ua1WE+qBGrQ06lutFmq1Wkwe1G2J0KBNYCSZgAYg0kWKUNme56t7Fx+IrVYrDmBXEsJVLEInCPZJ01ZTmWHgPf+2mdU0FkXVCk4gGpSqfs42loXvSnrUbSyUHlxX3TTdNicOqkpaDkmKuvRpX0gAq9UqWq0W6vV6TPgqlUpC3eK14qoh7xFeY70/LPHktW80GvE1sKRPiayW028ydTgcjsmA/zPn/+DrT38dP1rzIwx1hnDa46fhuuddl5hndC4jOA9yHtG5iYuEhUIh3quMz2xVjpSU2IU3LkDauUnjhPi39UJQ0mPnJs45muo6BPUWCJEcdXfnuLD+er0e7yVUr9d7XNq6+cEE2dlqsywOeXF5PC+rY4rCCY+jLz75yU/GnxcsWBA/XEOSdMiNjMdo0KFCH8KhlSmN07HnaZ2qDKW5OOlx1m1Md6Lmb1xZ0gcwH+LaXl19SgOJEB/y6tqgx+iYpSky/D00LrZM61agkyDL1BTSSops5puQy5kqdro3EUlVSOWyxFMnUyWNuvLn6aYdDsdUQylbwmXPuQxnLDojJj1fWPaFxLwVijfVeUz3z+HzWze1VvcuYMRlGhjZxsGqPQpti77Uo8LOnTo/KVGxf6fBulSHXKyVSHFMOFfwZeeoTqeD7pyXJcjO+47cBJsMeDyPwwmPYx1QqVQSCgpVFLp/pcnd9ns+OHXXaRrEXO1XI1yNcl1xYpnWXUoNZoXWb8kClRBdcWPAKCeWUqkUH9NqteJ+sy4SosRqkyFvGlhq1Rl1WVOXBpsYQPsM9Lqy0e2BE46OmU4gHGsllVylq9frqNfriZW7kE+2JXJ0U+QYUsUbHBxEpVJBsVhEpVJJEOB6vZ5QnKgm6T3kcDgcUxGVbAUX7nAhDvnlIQCGY3lCLsd8t4tnVDq44BSamyqVCgDELti6P0+3241VFyUK+mzVxSogGa/DeVe9C5hQQdUVzn+MOaJ3RwhRFMXpuS25yWQyiKIo9grhfMV5KIqiWOHhO5MYdDoddHMDcT1vOWAWNnWy4/gHnPA4xowLLrig57t3vOMdPfE2itDqknVL09iaeJVGlAItazTY1SgL2xZLyjSbDY13urQBw8Y59+RhX+gioKtNaUSPk5C6DdjYopC7AN85ifRzFyOZ4GRox5bt0ox0JHw6aXHi0mQQ7EdozEn81CedbhPcJ4KEh/20406ixj7cdNNNo15zh8PhmMwoZArx52XNZbj5UzejkC3gAx/4QOI4u1ioz0g+23VuoksbAJRKpUQWzH5zk52XrdIUmpv4TCb5IakhiYqiKHatu/POO/F082m84VdvQK1T6xkPG+erhIfuzTYLJ4kVF1upbPHV6XRw+eWX4+r71uJ//vgPkuhcxyFwwuNYL1DZoIKgBvX/b+/ug6Oq7/2Bvzeb7FMSwCABYtVWfkIdNA6MF1vh8lSefqU0FLCAaS/EBwYs49hKoPIwV2ovLXF6gUpLSQcZWp+4VGkCOnRw2lLondpKRzuDY8EMlaKBYEBjyD7vuX+kn5PPfncTQDbs7sn7NZMBNrtnz/fscr7ncz7f7+erT6LpTq7pLtj1dnXgoNPaQNdQLTnBpxtiZ57UJXOgiwSY82aEXHRLxkeCAJfLZWdjZKiBnr8id6DkzpeeWJku9a+PlzmXxgwk5Zimm8QvWSM9tM8slKDv3unypNJWOUbSVp3h0fus30t/RnK8ZDx6UVERiouLUVhYiOLiYnsBV/m9/nzk85USrERETlHsLsYQzxCciZzBieAJrDq5Chs/tzHpXKcDDX1eNUcjyGskQ2L2TdInd9c3pStIY/ZNZl+ebriZBDmSlZcsUjQaxfnoeSw9sdQOdgYWXY9ImuNi9tt6dIOeW6tHUEQiEQSDQcTjcXt+aSwWQyQaxf/8b4cd7BS6gcEDWKyAujDgoasiJyf5u1wQywW5nIAlQAC65nuYi6QJMwOhh2HpC3edjtcZDvNCWrYlF9M6KNCZFB1kuVwue6iVFGHw+/320LZoNAqfz4fCwkJ7WJ50THIHSk7OesyxGeh018EIM9tjzl2SdkgQoocI6M5Sr+ItHaZkdWR7euhDOBxGKBRKuZtnVhTSw/Uk8xUIBOD1euH1ehEIBOwgSNbk0SVPdVDncrnsYYPpOnoionzkdrnxnzf/Jx5991GErTAOfXwIq06uQiKRQGGiMGW4t+6PzAI1BQUFCAaD9vC1YDCIQCBg93HSN+kCBwDs87tkR8xKZ+nm4HQX+MjNvI6ODrtwQCgU6nwPbwRLTyxFU6gJADC4aDDG9/93vGYcE3NekL6x2V3fJPutA55YLIZoLIbEkP+P1976V7EiANXji1HqZ4qHujDgoavy7LPPAgDuu+8+AF0nMTMoAbrmmsiFsS7JqYMXnfVJN9RLLvy7GyqXrpCBvtA3T7Lm0AEZvqWrzkhQJSd1vaCovJfOJOlAzbyLli7Q0XfOzIBHnittkbbqjI/Osmi6yIR+rg6k5JhIh2OO8Zb9kefKZ6IrzUk2Se4qSoAjwwElOJSiBfpz0d8Ft9vNctNE5DhjSsdg8//bnBT0jHxwJG703pjy3AIUYGDRQCwYtAAV3gosX7486WYcAPvGlPShfr8f8Xg86Qac7g8kS2LONdWV0dLdgOuun5KfX//61/jzJ3/Gq62vImpFcazjWFKws334dhx7uz+A5KFt6Yad675YZ790hkf3UbFYDD/5yU/wP//bkRTs/MekYoy7zXu1Hxk5DAMeygifz2efiOSiV4IMfae+oKAAxcXF8Hg8SSl3vXhYJBJJujBON9Ee6KpIpofPSSAgF+9y90neW16n/wSST7TynpJOb21tRWFhIfx+PyKRCDweD0KhUMokfNme3IWKx7vKeOvJ/1J4QAcW+k+z8o78qfdP3xGUwEOX/ZZjYs6n0UP6JAul2y5ZHZ1hkbbJZyMBDICkwgQyfK20tBR+vx9erxelpaUoLCy07zh2N5FW7kTK/B4iIqcZUzoGm4dtxqNNnUHPsY5jONZxrNvnHzh/APXD69HR0WGfk/VNpnA4DJ/Ph0AgkNQ3BQKBy+qbzKCnu75JMvx6KJz0Tftb9+OJ956AheQ5thLs3Oi9EceMYEeGiuth7TrQkfmjum+U/kpGH8jfGezQ5WLAQxmh78ovXrzYriAjF8pAV/bG5/PB5/MlXfyaQYtkDMwMijnfRWdD0k22lMBHX+jrgCdd5TGhL/qlI/D5fPbK1DpDoid3SqcinUR32R15TM9h0ZkcfcLXgYl+ns62mHf0zEIGZilp/b56P7pb40aOpc4mScAla0RIdkeGrklmx+/3J30ndPAmwdjatWu7/SyIiJxgTL/OoGfNP9bgfOx8j89tjbViw6kNdj9iDn0Dus7dMtRabhTqUv9y7tc30PQNJ/OmnO5zzMBHfnbu3Il9rfvSBju3+G7Bfw/777TZq39+GMPhw4cBAHPmzEn6nfQrZl9jBlzRaBT19fUMduiKMOChjPN6vfaQLyknLfN53G43SkpK4PV6U9Zu0RfdkpVIJBLwer0pGZju5v8A6QMfoGsIlfm4psshm2sAxeNxtLe32+0Jh8Pwer32hFHZp3SdkwznkjlEEihJ56Lnyeh/y7GRfdKv0xkhXZFHLz6nS1brIEkHgnI8LKurwlo6ejihvIcMR9ND0iQ7p//0er1JQxkty7LnVOnKQkRETjem3xi8evurOBs9m/b3kUQES04swYXYBbzT8Q7Kg+UpWXcA9vBrKRzk8XjsbIjum+S8rm/ApStKI6Mh0g31lkBD5v7sa92H9e+tt4Od+YPm477y+1CAAgz1DE3qR24Z3HWpuf+NEEp8BfhSpS+laJH0adIn6Tmkeu5RJBJhsENXjAEPZZzf708aSiUnZbnbX1JSYpfTlMyE1NuXgEdKVpuVavSaBPokqbNE5o8OXBKJrvULdGCg6fkteq5QLBbDJ598AqDz7pnP54PX60U4HE4KAnTxhkAgkFSgIZFI2MGdBDjS0UgBCN0BAV0Bk7TPLMYgQaWUrNYdnO50zAIBElhKhkZeZx4TPe9H9l/P2dEBjw505O8yl0c+c/lcpZ2SESIi6iuKCorwGe9nuv39gMIBuBC7gAQSuBi8iEQsdZhxOByG2+22gxe5iRQMBuH1eu3CO2bfJMPBzIBH+hVNzv06I/TRDR+lBDu1n6nt9mbZrUML8ZW7fNj/RggA8OKRDvQLpPbBckNNjzyQfk1XmMMNX2GwQ1eMAQ9l3ObNm1MeW7lyZUpWIF2BASB1FWaga/K9XPinG/trvs7cBpA6vEtOtmZxBP2YDj7kRCyBl+ybBAA6QDLXrdHrI+jgTJ6jf/SCazpDJel+XWI6XUZL2qePs2xLB0O64IAwhw3K/qWrrmd+buadQX089XbuvvvulO8IERF16ufuBwAIJoKY8dMZWH3TahS4CjBp0iT7vKtvBkoAEwqFkjL2+pyvh1SbQ9r08DVN3yizA57bP7rsYAfoPO9/9d8652dK0HPk7XDK8HRdmEFGQughdj//+c+Z2aFPjQEPXRN6UTS9do5ZOSzdpH0peQx0jVfWmQgzMNB3sXTxAT1xXy7edSZKBwpA14W/XmtAb1Pa1dHRkbR9yWrIPsv+p1uwVA93M4MPHTTI/kj75S6YWShCsitSFEIq9uj2STbHzOTorIseSiCfjR6qqINN/ZnJ5yElrPWdOgnOOHyNiKhni4csxmNNjyGBBPa27gUArL5pNdrb25Nu1EmfEQqF7BEVfr8fPp8PwWDQPuebSxaYC0vr4MO8mQUgqV+OF3RVUHtoyEM9BjvC5XLhK3f57YAn8q9N6Ips5vvK+8mQNgY7dDUY8NA18eSTTwIANmzYkHSxbQ5Lk5OxnID1nBF9QpbHdBln83XpskT6Yl3/mNknvQ19l0m2Jydh2RfpTOTOml4vyHxOdxkZkzl/J12GRz9PB3PSFunodLCnAx4zQybHQoIdPd8o3T6my8zpTlWGM1qWhSlTpnyarw4RUZ8zvv94/Ndn/wtr/rHGDnpcLhde//PrKHAVYNSoUUkLQMvQ8FAolDSqQIaySd8k/Zj0YbqgjpDt/mz7z/Bm+5toi7fZv0sggU2nNyEY+VfltUvHOmm1fBTHqh88C/dlLpVz7FSUwQ5dFQY8dE3poVh6bkwoFEI4HMbFixfxySef2GOJdZCiA5t0Q6r0CVyyMbpYglzoA8mLn+rAQAcqukCA+b5A19waM2CRuTkSLOiAwjwW8r7yHOl4zCF5uiSpBBHyXumGp0mGR5f/lrZJhTwdhMmPXuOgqKgoaZ6ROTROZ6fkPeUOYyjUeRdPxpRzjg4R0ZWZVjYNAOyg5+UPXwYAPH7j4zhz5ox9zi0qKkqaOxuNRhEKhRCNRlP6Gd3v6nO/5na7YXktLD2xFEfbj3a7fyP8IzDAPeCy2+MucGFERSH+/kEMbUELP/tN+xUfEwY79Gkx4KFrSl/c6+AkGAwiFArh4sWLaG9vTypCIEGPPKYv1uU56S7Y5SJdX5TrAEnPuzEryQGw5wvpgEcqx+l90EGQvoMmwYkOYuQ5AJICEdm+ObxABz867S9BiH5/PbxBOkId8MiP3+9PmkelPw9dPEEyMzIh1pz7ZB5bWZsnkUggGOy8++fxeOzCBEREdGXSBT2WZeFsy1n4fX67KEwsFkta187n89mZHQl4hB65ACD1hpa/AM2zmhFqD3W7X4OLBmPjLRsvazib9uDUEjz16za0fJy49JMNDHboajDgoWuqtrY25bEf/ehHKdkJXZ1FLuyBrophAFKCAp0hMef1aHKhL/NsdOCjAxd998sc36yZwwf0EDnZFwmU9J00PZ9FV53T76+HlJkZLbNtZtlSM7ulM1pm5Tg9tE8HmpKd0dksHYTqgg0SNEon+73vfa/nLwMREV2SBD1r/7EWccSxt3UvZrw5A0UFl86cJ5BAGOFLPk+vpdMWb0Mo1hns9HP3Q3V5NQpcXf1NibsE066bhgGFA66wJcCA4gKsmdcPb7wbQXvIuvQL/sXlAkbeWISbBvGylT4dfnMo63T1tUAgYJfAPH/+vD0h35xMqdPy6YoUyJAyuRDX2SEpjy2T8PWQNJ1l0YuHSvpfggCh58t4vV47EJDgQF4nz5U2SJtkfLW0SQ8z0AvH6Tk2eiia7LPO1ACw2xcIBFIKFug1kMwhbfIeutKc1+u1tymvkeIF+jj0tIYPERF9emamp7s1fDKpn7sffnrrT3Fb4LaMbjfgLcD4kb6MbpPoUhjwUNatWLEi5bGHHuqq/GKm2/UFuZDAQZjzZfQcF7Oimd62fl132R1zHo9ZKED+lEBFtit/1+Wq9eslABI6KJJARL/OnE+j90f+rivRpRuGZ1ZrM4s5pBu+JnOD9DFbvXp1zx8yERFdlWll01BUUIRtH2xDa6y1V9/rZu/NqL2xNuPBDlG2MOChnFRaWoqLFy/agYw5B0YP2ZKFLGUInGR4gK4AQJdqLikpgcfjsX9km0DnWgaybZmAryvFyRhpyQzJds3qb1JaWrI0EizocqKyfxKYSAbJrFynAzWv12vvk2xTSk9L6W9ppy5RLa+X7eo5Tno4oMyB0oGf7Lcura0LHzCrQ0R0bUwaMAmTBkzK9m4Q5R0GPJSTSkpK4PP57HVwdKZELtIlUJAsjcz9kcn3wrIseDwe+Hw+uN1u+P1+O9iRACbdYpsSIMjwOF3S2e/3p2SJZBtmyWyzGIEejmZmUvT763k8AJICKgladAUeGVKnh+npogJmuW2hh8aZx0FnrKStEmTpNZWIiIiIchUDHspJ6Sa8z5kzJ2lNGMmk6GFpkhHS2RE9eV+CHPm3Dj7MTEe6KjaSzZGASbYJwM6MmMPK9PwgAPacHWEWX5DHNNlPHVDJtiUDpRcb9Xq9diCULqCS7egMj654Jwu+Cr0C92OPPXY1Hy0RERHRNcWAh/JGIBBAR0cHLMuyMw0yvEpKNUuwIgGFBDbyXCmfrIeYySrOUjRASjPr0tlSrUyyRIFAICnDA8B+f6Br2JhknQCkLPDW3WKj6cpX64XjANiFBCRYkX2S4yGBna4CZ5bZlvabmS2Xy4VQKIRgMGhny9Kt1UBERESUDxjwUN549tlnUx5btGhRUqlkoCvYkAyQWYZZZ0j05H9zkdB0gYAOnvT2gK4ARpfSNgsi6EIGsk1hLjSq6epweu6MZJ5kf3Rgp4eamSWt9WO61LfL5cLy5cuv5GMhIiIiymkMeCivyRAuGcomP3qtHTPgkcyMkCxGLBZDOBy2F/WUbIy8Vso86wIA8nqgKxCR4EGyTbKf8jspriDMYMQcFqertMljZklpCXKkaIFkvcy5TzpTYxYmMIfRERERETkBAx7Ka88880y3v1uyZAk8Ho9dltkMfHRGRc/bkbk4uoy0rlKmy2WbJZ31n0DX3Bs9v0gPl5PnpCs1LUGZZKvMAgd6qJt+TAIfeW13RQoAMJtDREREjseAhxwrEAgA6FrYVCbx68n6AJLKSHu9XnsujzzHXLfGrEomAYmeMwN0VT2TxVN1QYV4PI5wOJw030gPwTPpqnR6kU+9cKnsiw5odNlo3V6gq2Q2ERERkZMx4CHH6t+/Pzo6OhCNRpOKG5gLmEpJZ5nEX1hYiGg0iosXLyZlcSR7Ys7VkYAmEAjYFdsA2EPN9MKpMg9Hhs9FIpGkinJ+vz+pwpum1wGSTJMeNmcWRTCrxelKbJZlJZXuJiIiInIqBjzkWOvXr7+s5z3xxBMp2RPJCvWUBUm34KY5xE3KO+uy0N0tMqqZa/DI9iTbpLNU3ZW4fuKJJy6r/UREREROxoCH+jxZS0eCEV3aOpFIIBQKJWVidJCh59zIHB8JSCRg0fNsdLAjQ9ESiYRdyEAHSfJ7CYzMRVZl27ItGS4XiUQQDAazeUiJiIiIcgYDHurz1q1bd0XPf+SRR5ICHp3BkcIBEthEo1EAXRXcANhzdIqKiuwhcWYZavn3888/f1VtIyIiIurrGPAQXSFz4VAZCgd0FReQYXHmuj6SoZG5QUVFRfaip3rujf6TiIiIiD49BjxEV0gKDwBIyupIdTePx2MXF5BAKBaL2cPkfD4fAMDj8djDz+T3uhqcng9ERERERJ8OAx6iK7Rt27Zs7wIRERERXSbeQiYiIiIiIsfKWIbnhRdewPPPP2+vJbJmzRpUVlZix44d2LNnD+LxOMaNG4fVq1fbw32IiIh6E/smIiLKSIbnr3/9K+rr67Fr1y40NjZi6dKlePjhh3Ho0CH86le/wp49e3DgwAGcP38eO3fuzMRbEhER9Yh9ExERARnK8PTv3x9PPvkkysrKAACVlZVobW3FwYMHMXPmTJSWlgIAFi5ciPXr12PJkiVpt9PS0oJz586lPN7U1JSJ3SQioj6EfRMREQEZCniGDRuGYcOGAegs2bthwwZMnDgRzc3NGDVqlP28IUOGoLm5udvt7N69G1u3bs3ELhERUR/HvomIiIAMV2lrb2/HypUrcf78edTX1+Pb3/52yloiPa0tMn/+fEyePDnl8aamJtTW1mZyV4mIqI9g30RE1LdlLOA5efIkli1bhsrKSmzatAlerxcVFRU4e/as/ZyzZ8+ioqKi222Ul5ejvLw8U7tERER9HPsmIiLKSNGCDz74ANXV1bj33ntRV1cHr9cLAJg6dSpeeeUVtLW1IZFI4MUXX8S0adMy8ZZEREQ9Yt9ERERAhjI8O3bsQFtbGxobG9HY2Gg/Xl9fj7lz52LhwoWIxWIYPXo0li1blom3JCIi6hH7JiIiAjIU8Kxbtw7r1q1L+7uamhrU1NRk4m2IiIguG/smIiICMjSkjYiIiIiIKBcx4CEiIiIiIsdiwENERERERI7FgIeIiIiIiByLAQ8RERERETkWAx4iIiIiInIsBjxERERERORYDHiIiIiIiMixGPAQEREREZFjMeAhIiIiIiLHYsBDRERERESOxYCHiIiIiIgciwEPERERERE5FgMeIiIiIiJyLAY8RERERETkWAx4iIiIiIjIsRjwEBERERGRYzHgISIiIiIix2LAQ0REREREjsWAh4iIiIiIHIsBDxERERERORYDHiIiIiIiciwGPERERERE5FgMeIiIiIiIyLEY8BARERERkWMx4CEiIiIiIsdiwENERERERI7FgIeIiIiIiByLAQ8RERERETkWAx4iIiIiInIsBjxERERERORYDHiIiIiIiMixGPAQEREREZFjMeAhIiIiIiLHYsBDRERERESOxYCHiIiIiIgciwEPERERERE5FgMeIiIiIiJyLAY8RERERETkWAx4iIiIiIjIsa5JwHP48GFUVVVhxowZqKmpQUtLy7V4WyIiom6xbyIi6ht6PeA5f/48VqxYgbq6Ohw4cACTJk3C448/3ttvS0RE1C32TUREfUdhb7/BkSNHMGLECIwYMQIAsGDBAtTV1eHcuXMYNGhQ0nNbWlpw7ty5lG00NTX19m4SEVEfwr6JiKjv6PWA58yZMxg6dKj9b4/Hg+uuuw7Nzc0pncru3buxdevWbrfFzoWI6NqS8244HM7ynmQW+yYiovx1pX1Trwc8lmXB5XKlPF5QkDqabv78+Zg8eXLK44cOHcKWLVtQW1vbK/tIREQ9O336NEaPHp3t3cgY9k1ERPnvcvumXg94Kioq8Kc//cn+dyQSwYULF1BRUZHy3PLycpSXl6c8LnfhtmzZgqeeegrDhg3rvR3uRU1NTaitrWUbsoxtyA1sQ264VBvC4TBOnz6NcePGZWHveg/7pi594XucD9iG3MA25IZM9029HvCMHTsW3//+93H8+HEMHz4ce/bswZ133omysrLL3kZZWRkmTJiALVu2YNiwYRg5cmQv7nHvYxtyA9uQG9iG3NBTG5yU2RHsm1KxDbmBbcgNbENuyFTf1OsBT1lZGTZt2oRVq1YhHA5j4MCBqKur6+23JSIi6hb7JiKivqPXAx4AuOeee7B3795r8VZERESXhX0TEVHfcE0WHiUiIiIiIsoGBjxERERERORYeRPwDBo0CMuXL09ZHyGfsA25gW3IDWxDbnBCG7LJCcePbcgNbENuYBtyQ6bb4LIsy8rIloiIiIiIiHJM3mR4iIiIiIiIrhQDHiIiIiIiciwGPERERERE5Fh5EfAcPnwYVVVVmDFjBmpqatDS0pLtXbosL7zwAmbNmoWvfvWrmD9/Pv72t78BAHbs2IEZM2Zg6tSpWL9+PaLRaJb39NLeeust3H777Thz5gwAoKGhATNnzsT06dPx6KOPor29Pct72L0TJ07gm9/8JmbPno05c+bgzTffBJBfbXjttdcwa9YsVFVVobq6Gk1NTQDy47u0efNmrFmzxv53T8c9V9tjtmHr1q2YOXMmZs2ahcWLF+PkyZMAgEQigY0bN2L69OmYMmUKtm7dilyZJmm2QRw8eBC333570mO5+jnkGvZN2ZXP/RKQ/31TPvdLAPumPtc3WTmutbXVGjNmjPXOO+9YlmVZu3btsu6///4s79WlHT161Jo4caLV2tpqWZZl/fa3v7XGjh1r/f73v7dmzJhhtbW1WbFYzHrkkUes7du3Z3lve/bhhx9aVVVV1vDhw63m5mbr+PHj1he/+EXrzJkzlmVZ1g9+8ANr3bp1Wd7L9ILBoDVu3DjrN7/5jWVZlvW73/3OmjhxYt614Y477rBOnDhhWZZl/eIXv7Cqq6tz/rv0z3/+03r44YetyspKa/Xq1ZZlWT0e91xsT7o2NDY2WnPmzLEuXrxoWZZl/fKXv7TmzZtnWZZlPffcc9Y3vvENKxwOW8Fg0FqwYIG1f//+rO2/ZaVvg3j33XetyZMnW7fddpv9WC5+DrmIfVN25XO/ZFn53zfla79kWeyb+mrflPMZniNHjmDEiBEYMWIEAGDBggV4/fXXce7cuSzvWc/69++PJ598EmVlZQCAyspKtLa24uDBg5g5cyZKS0vhdruxcOHCnF7pOxaL4Tvf+Q5qa2vtx1577TVMmDABgwcPBgBUV1dj3759SCQS2drNbh05cgSDBg3CtGnTAAATJkzAtm3b8qoN8XgcLpcLH3/8MQCgo6MDPp8v579Lu3fvxj333IOamhr7sZ6Oey62J10bbr75ZqxduxaBQABA5//t999/H0DnHam5c+fC4/HA5/Nh3rx5OdkGAGhvb0dtbW3KnbVc/BxyEfum7Mn3fgnI/74pX/slgH1TX+2bcj7gOXPmDIYOHWr/2+Px4LrrrkNzc3MW9+rShg0bhnHjxgHoTCVu2LABEydORHNzc1J7hgwZktNtqaurw913342xY8faj6VrQ0dHBz766KMs7GHPTp48ifLycqxduxZz5szBokWLEIlE8qoNxcXFWL9+PRYtWoTx48fjmWeeQW1tbc5/lx577DFUV1fD7Xbbj/V03HOxPenaUFlZiVGjRgEAwuEwnnrqKXz5y18G0Nm+IUOG2M/N1TYAwOOPP45FixZh+PDhSY/n4ueQi9g3ZU++90tA/vdN+dovAeybgNxtA9B7fVPOBzyWZcHlcqU8XlCQ87sOoDNSXb58Od5//31s3LgRAFLak659uWD//v04deoUli1blvK7dPuci+2IxWL44x//iNmzZ+Pll1/GAw88gCVLliAWi+VNG/7+97/jxz/+MRobG/GHP/wBa9euxUMPPYREIpE33yWtp+OeT+1paWnBokWLUFpaipUrVwJIf77KxXPV9u3bcf3116Oqqirt7/Ppc8gW9k3Z4YR+Ccj/vslp/RLAvikX9GbflHutNVRUVODs2bP2vyORCC5cuICKioos7tXlOXnyJObNm4eSkhLs2rUL/fr1S2nP2bNnc7YtL730Ek6dOoXZs2fbX74HHngA5eXlKW0oLi5G//79s7Wr3Ro8eDA++9nP4q677gLQOWygsLAw7eeQq204cuQI7rjjDtxyyy0AgFmzZiEejyMej+fNd0n0dNzz6f/GW2+9hblz5+Kuu+7C1q1b4fF4AAA33HBDShv0HalcsXfvXrzxxhuoqqrCkiVLEI/HUVVVhVOnTuXV55BN7Juywwn9EpD/fZOT+iWAfVOu6M2+KecDnrFjx+Ltt9/G8ePHAQB79uzBnXfeaY8/zlUffPABqqurce+996Kurg5erxcAMHXqVLzyyitoa2tDIpHAiy++aI/hzTU7d+7Eq6++ioaGBjQ0NADorJAxffp0HDp0yP7iPffcc5gyZUpO3i0YP348mpub7eo3R48eRSQSwZQpU/KmDSNHjsTRo0ftSkR/+ctfEIvFsHjx4rz5LokvfelL3R73fPm/cezYMdx///347ne/ixUrViR9Z6ZOnYqXX34ZkUgEoVAIL730Uk624cCBA9i3bx8aGhpQX18Pt9uNhoYG3HTTTXnzOWQb+6bscEK/BOR/3+Skfglg35QrerNvKuzF/c6IsrIybNq0CatWrUI4HMbAgQNRV1eX7d26pB07dqCtrQ2NjY1obGy0H6+vr8fcuXOxcOFCxGIxjB49Om1qPpfdeuutWLlyJR588EFEo1F87nOfww9/+MNs71Za119/PbZv344NGzago6MDbrcbTz/9ND7/+c/nTRu+8IUv4Fvf+hZqampQVFSEQCCAbdu2YfTo0Xjvvffy6rvU03dn/PjxaGpqyvn2PP3000gkEqivr0d9fb39eENDA77+9a/j9OnT+NrXvoZoNIopU6Zg7ty5WdzbK5cvn0O2sW/KLfnULwH53zc5qV8C2Dflg6v9HFyWlSOFuImIiIiIiDIst3KkREREREREGcSAh4iIiIiIHIsBDxERERERORYDHiIiIiIiciwGPERERERE5FgMeIiIiIiIyLEY8BARERERkWMx4CEiIiIiIsdiwENERERERI7FgIeIiIiIiByLAQ8RERERETnW/wGdJbHbjftDSwAAAABJRU5ErkJggg==\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "tpeak_signal = masked_cube.max(axis=0)\n", + "\n", + "plt.figure(figsize=(10, 6))\n", + "\n", + "plt.subplot(121)\n", + "plt.title(r\"T$_{\\rm peak}$ (signal masking)\", fontsize=12)\n", + "plt.imshow(tpeak.value, origin='lower', cmap='gray')\n", + "\n", + "plt.subplot(122)\n", + "plt.title(r\"T$_{\\rm peak}$ (with signal masking)\", fontsize=12)\n", + "plt.imshow(tpeak_signal.value, origin='lower', cmap='gray')\n", + "\n", + "colors = ['darkorange', 'limegreen', 'cornflowerblue']\n", + "contours = []\n", + "\n", + "for num in range(1, num_labels+1):\n", + " contours.append(plt.contour(np.any(signal_mask_labels == num, axis=0),\n", + " levels=[0.5], colors=colors[num-1],\n", + " linewidths=2., label=f\"{num}\"))\n", + "\n", + "plt.legend([val.legend_elements()[0][0] for val in contours],\n", + " list(range(1, num_labels+1)),\n", + " fontsize=12)\n", + " " + ] + }, + { + "cell_type": "markdown", + "id": "ec249ba6-0534-4748-a119-8864c75ecce6", + "metadata": {}, + "source": [ + "Next, we will visualize the mean spectra of each of the 3 labeled regions. While cumbersome for large numbers of regions, the mean spectrum can be a useful check to ensure the signal looks \"real.\"\n", + "\n", + "In the case of CO lines tracing molecular clouds, the line width is dominated by turbulent motions that (over a huge number of emitting CO molecules) is randomized. Thus we expect a Gaussian-like profile." + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "id": "e66b1767-d136-4428-bdbc-d7f6da51fbc9", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'Brightness Temperature (K)')" + ] + }, + "execution_count": 23, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axs = plt.subplots(1, 3, sharex=True, sharey=True,\n", + " figsize=(12, 4))\n", + "\n", + "# Redefine the color list from above (just for clarity)\n", + "colors = ['darkorange', 'limegreen', 'cornflowerblue']\n", + "\n", + "for num in range(1, num_labels+1):\n", + " \n", + " # Identify the spatial extent of the cloud in the signal mask\n", + " spatial_mask = np.any(signal_mask_labels == num, axis=0)\n", + " # Identify the spectral extent of the cloud in the signal mask\n", + " spectral_mask = np.any(signal_mask_labels == num, axis=(1, 2))\n", + " \n", + " # Cut the cube down to that spatial range of each clouds\n", + " per_cloud_cube = cube.with_mask(spatial_mask).minimal_subcube(spatial_only=True)\n", + "\n", + " # Calculate the mean CO spectrum over the spatial bounding box\n", + " mean_spec = per_cloud_cube.mean(axis=(1, 2))\n", + " \n", + " # -1 since we're matching to the cloud labels that start at 1 (not 0)\n", + " ax = axs[num-1]\n", + "\n", + " # Plot the whole mean spectrum\n", + " ax.plot(mean_spec.spectral_axis,\n", + " mean_spec.filled_data[:].value,\n", + " drawstyle='steps-mid',\n", + " color='darkgray')\n", + "\n", + " # Overplot the velocity range included in the spectral dimension\n", + " this_color = colors[num-1]\n", + " ax.plot(mean_spec.spectral_axis[spectral_mask],\n", + " mean_spec.filled_data[spectral_mask].value,\n", + " drawstyle='steps-mid',\n", + " color=this_color)\n", + " ax.fill_between(mean_spec.spectral_axis[spectral_mask],\n", + " mean_spec.filled_data[spectral_mask].value,\n", + " step='mid', color=this_color, alpha=0.5)\n", + "\n", + " # And a horizontal line at 0 for reference\n", + " ax.axhline(0., color='k', linestyle='--')\n", + " \n", + " \n", + " this_spec_unit = mean_spec.spectral_axis.unit.to_string(format='latex')\n", + " ax.set_xlabel(f\"Velocity ({this_spec_unit})\")\n", + "\n", + "axs[0].set_ylabel(f\"Brightness Temperature ({mean_spec.unit})\")" + ] + }, + { + "cell_type": "markdown", + "id": "3d2cea9a-b797-4bc2-b216-50618eb5cdf1", + "metadata": {}, + "source": [ + "The first two regions are clearly detected. The third appears to be a more marginal detection, but the coherent signal across multiple channels suggests it could be real emission, and so we will include all 3 sources in the GMC analysis." + ] + }, + { + "cell_type": "markdown", + "id": "070709bf-cfe8-479e-873c-052468ced669", + "metadata": {}, + "source": [ + "## Making the dendrogram\n", + "\n", + "Next we will construct a hierarchical structure to define the clouds and their properties. To this, we will use the [`astrodendro`](https://dendrograms.readthedocs.io/en/stable/index.html) package that implements a version of the dendrogram algorithm that can be applied to spectral line data cubes. See [the documentation](https://dendrograms.readthedocs.io/en/stable/algorithm.html#accounting-for-noise) for an overview of the parameters in the dendrogram and [Rosolowsky et al. 2008](https://ui.adsabs.harvard.edu/abs/2008ApJ...679.1338R/abstract) for a full description of the algorithm.\n", + "\n", + "The user parameters can be set in terms of the signal-to-noise ratio (see [the documentation](https://dendrograms.readthedocs.io/en/stable/algorithm.html#accounting-for-noise)). To find a representative noise level, we will re-use the noise map calculated above and estimate the noise near the center of the map where the sensitivity is highest.\n", + "\n", + "We set the `box_size` to be 30 pixels based on estimating a reasonable size from the peak temperature maps above with a reasonable size to include multiple beam elements. This size could easily be adjusted and, if not biased, should give comparable noise\n", + "estimates." + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "id": "c28e74f6-fc67-436d-af80-ce028c1101a2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/latex": [ + "$0.037650203 \\; \\mathrm{K}$" + ], + "text/plain": [ + "" + ] + }, + "execution_count": 24, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "# Estimate a representative median noise level based on the center of the noise map:\n", + "\n", + "pix_cent_x = mad_std_map_sclip.shape[1] // 2\n", + "pix_cent_y = mad_std_map_sclip.shape[0] // 2\n", + "\n", + "box_size = 30\n", + "\n", + "medrms = np.nanmedian(mad_std_map_sclip[pix_cent_y-box_size:pix_cent_y+box_size, \n", + " pix_cent_x-box_size:pix_cent_x+box_size])\n", + "\n", + "medrms" + ] + }, + { + "cell_type": "markdown", + "id": "f93a1ff1-b727-4182-a857-31e90c91d260", + "metadata": {}, + "source": [ + "There are 3 parameters to set for the dendrogram algorithm:\n", + "\n", + "1. `min_value`: the minimum value in the data to consider. Typically this can be some S/N level relative to the noise. Normally, we default choice of $2\\sigma$ or higher is a sensible starting place. In our case, we already computed a signal mask that defined where real signal is most likely, and hence, we will set the `min_value=0`.\n", + "2. `min_delta`: the minimum difference between data to consider for the hierarchical structure. This parameter is what defined where the dendrogram tree splits into `branches` and `leaves`. Similar to `min_value`, we will use $2\\sigma$ for the minimum difference.\n", + "3. `min_npix`: the minimum number of pixels in the cube for a structure to be considered \"real.\" This parameter will reject structures that satisfy `min_delta` but contain few pixels and thereby is likely a noise spike. We will use the number of pixels in the beam as the minimum size, corresponding to the expected area of a point source.\n", + "\n", + "**NOTE:** Since our signal mask above already defined the likely real sources, we are setting `min_value=0` to include all pixels in the dendrogram that remain in the signal-masked data.\n", + "\n", + "**NOTE:** The `cube` with spectral-cube has a defined unit using [astropy.units](https://docs.astropy.org/en/stable/units/index.html). astrodendro does not currently support units, and thus we pass a version of the masked data without units (i.e., as a normal numpy array) with `masked_cube.unitless_filled_data[:]`." + ] + }, + { + "cell_type": "code", + "execution_count": 25, + "id": "ec3eef2e-cefd-4c1c-96b4-24c308fcbeb6", + "metadata": {}, + "outputs": [], + "source": [ + "from astrodendro import Dendrogram\n", + "\n", + "d = Dendrogram.compute(masked_cube.unitless_filled_data[:],\n", + " min_value=0., # noise estimate\n", + " min_delta=2*medrms.value,\n", + " min_npix=1.0 * ppb, # pixels-per-beam\n", + " verbose=False) # True will enable a progress bar. However, it is not formatted for notebooks." + ] + }, + { + "cell_type": "markdown", + "id": "b6d37e2b-e800-473e-ab39-094ecb35423e", + "metadata": {}, + "source": [ + "We can visualize the dendrogram structure using [`Dendrogram.plotter()`](https://dendrograms.readthedocs.io/en/stable/api/astrodendro.plot.DendrogramPlotter.html). See the [plotting documentation](https://dendrograms.readthedocs.io/en/stable/plotting.html) for additional examples." + ] + }, + { + "cell_type": "code", + "execution_count": 26, + "id": "520ff93d-ce7f-4b3f-a212-f4e581929c84", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, 'Brightness Temperature (K)')" + ] + }, + "execution_count": 26, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "ax = plt.subplot(111)\n", + "\n", + "dendro_plot = d.plotter()\n", + "dendro_plot.plot_tree(ax)\n", + "\n", + "ax.set_xlabel(\"Structure ID\")\n", + "ax.set_ylabel(f\"Brightness Temperature (K)\")" + ] + }, + { + "cell_type": "markdown", + "id": "f55154be-8503-4338-9820-929d6ac57b4c", + "metadata": {}, + "source": [ + "The tree structure is largely what we expect from the peak temperature maps above: 3 distinct regions. One structure (label 1 from above) has additional substructure above the noise, and so the dendrogram algorithm has split the connected regions into two `leaves` connected by a branch.\n", + "\n", + "Next we can visualize which structure ID corresponds to the regions labeled above from the signal masking procedure. Structure IDs can be extracted from the dendrogram using a similar syntax you would use for a list." + ] + }, + { + "cell_type": "code", + "execution_count": 27, + "id": "00726229-a6ce-49be-bee5-bd89d2c50dd1", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5\n", + " 0\n" + ] + } + ], + "source": [ + "print(len(d))\n", + "\n", + "print(d[0], d[0].idx)" + ] + }, + { + "cell_type": "markdown", + "id": "c4b27a01-8843-4862-9780-f6db56f547b0", + "metadata": {}, + "source": [ + "Why 5 structures? Each branch and leaf is counted as a structure in the tree, and hence the middle structure counts for 3 (branch, leaf, leaf).\n", + "\n", + "The relationship between structures is defined as the `parent` and `children` properties of a branch" + ] + }, + { + "cell_type": "code", + "execution_count": 28, + "id": "a172562a-daf7-4839-ba4b-a0ff8d9451e6", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "None\n", + "[, ]\n" + ] + } + ], + "source": [ + "this_branch = d[0]\n", + "\n", + "print(this_branch.parent)\n", + "\n", + "print(this_branch.children)" + ] + }, + { + "cell_type": "markdown", + "id": "eda5d80e-95f4-47bb-8268-e20f9179e21d", + "metadata": {}, + "source": [ + "In this case, the branch is the \"trunk\" of the structure and has no parent structure. The two leaves on the branch are its children structures (idx 2 and 3)" + ] + }, + { + "cell_type": "markdown", + "id": "5005e730-7cec-4635-a267-f1fb0361325d", + "metadata": {}, + "source": [ + "With a clearer picture of what is in the dendrogram structure, we can next extract the regions of each on the original map. To do this, each structure has a `.get_mask` function that returns a boolean mask with the same shape as the original data cube where `True` defines the pixels inside that structure." + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "96190ee0-5739-415d-a9eb-81aa1f577f3e", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# Plot the masked moment 0 maps\n", + "\n", + "moment0_signal = masked_cube.moment0()\n", + "\n", + "plt.figure(figsize=(10, 6))\n", + "\n", + "plt.subplot(121)\n", + "plt.title(r\"Integrated Intensity (with signal masking; K km s$^{-1}$)\", fontsize=12)\n", + "plt.imshow(moment0_signal.value, origin='lower', cmap='gray')\n", + "\n", + "# Show the field of view of the original data, for reference\n", + "plt.contour(np.isfinite(cube[0]), levels=[0.5], colors='gray', linestyle='--')\n", + "\n", + "\n", + "# Loop through and plot all the structures\n", + "\n", + "colors = ['darkorange', 'limegreen', 'cornflowerblue', 'magenta', 'firebrick']\n", + "contours = []\n", + "\n", + "for this_struct in d:\n", + " idx = this_struct.idx\n", + " this_mask = this_struct.get_mask()\n", + " contours.append(plt.contour(np.any(this_mask, axis=0),\n", + " levels=[0.5], colors=colors[idx],\n", + " linewidths=2., label=f\"{this_struct.idx}\"))\n", + "\n", + "plt.legend([val.legend_elements()[0][0] for val in contours],\n", + " list(range(len(d))),\n", + " fontsize=12)\n", + " \n", + "\n", + "# And plot the tree with matching colors:\n", + "ax = plt.subplot(122)\n", + "\n", + "dendro_plot = d.plotter()\n", + "dendro_plot.plot_tree(ax)\n", + "\n", + "ax.set_xlabel(\"Structure ID\")\n", + "ax.set_ylabel(f\"Brightness Temperature (K)\")\n", + "\n", + "for this_struct in d:\n", + " dendro_plot.plot_tree(ax, structure=this_struct.idx,\n", + " color=colors[this_struct.idx])\n" + ] + }, + { + "cell_type": "markdown", + "id": "c5427f19-9bc6-49d2-9341-0601327297bc", + "metadata": {}, + "source": [ + "Now we can more easily connect how the dendrogram tree maps back to the data.\n", + "\n", + "In particular, we can visualize how the sub-structure in structure 1 corresponds to the bright peaks within the total area. We will investigate below the impact of the sub-structure on derived properties, but **it is worth always keeping mind that parent structures *include* all of the data within the children and therefore their properties are not independent.**\n", + "\n", + "Often fields can become far more complex than the relatively simple example we show here, in which case the hierarchical structure can be essential for distinguishing between compact and diffuse structures.\n" + ] + }, + { + "cell_type": "markdown", + "id": "9b46b4ed-b431-4665-8618-bf78c0bbf59c", + "metadata": {}, + "source": [ + "#### Exploring the dendrogram interactively.\n", + "\n", + "`astrodendro` includes an interactive plotter linking the data to the dendrogram described [here](https://dendrograms.readthedocs.io/en/stable/plotting.html#interactive-visualization).\n", + "\n", + "This functionality _also_ works in the glue visualization software! See [here](https://docs.glueviz.org/en/stable/gui_guide/dendro.html) on how to use `astrodendro` in [glue](https://glueviz.org/)." + ] + }, + { + "cell_type": "markdown", + "id": "3c9be502-2b7a-40d1-be0f-591e03f7c99d", + "metadata": {}, + "source": [ + "### Make an initial catalog from the clustering\n", + "\n", + "The remaining step is to calculate the properties of the identified regions which is done with the `ppv_catalog` function (and similarly for a dendrogram of a 2D image, you can use `pp_catalog`).\n", + "\n", + "Before running the catalog, we need to pass relevant metadata on the data units, wavelength, beam properties, and the WCS information.\n", + "\n", + "\n", + "**NOTE:** Warnings related to \"beam brightness temperature\" and \"vaxis missing\" can safely be ignored!" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "af22d1bd-6adf-4367-a042-76b9ec4b8552", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Computing catalog for 5 structures\n", + "\n", + "[========> ] 20%\n", + "[================> ] 40%\n", + "[========================> ] 60%\n", + "[================================> ] 80%\n", + "[========================================>] 100%\n", + "[========================================>] 100%\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/ekoch/anaconda3/lib/python3.8/site-packages/astrodendro/analysis.py:254: MissingMetadataWarning: vaxis (Index of velocity axis (numpy convention)) missing, defaulting to 0\n", + " warnings.warn(\"{0} ({1}) missing, defaulting to {2}\".format(self.key, self.description, self.default),\n", + "/Users/ekoch/anaconda3/lib/python3.8/site-packages/astrodendro/flux.py:144: UnitMetadataWarning: 'Kelvin' units interpreted as main beam brightness temperature.\n", + " warnings.warn(\"'Kelvin' units interpreted as main beam brightness temperature.\",\n", + "/Users/ekoch/anaconda3/lib/python3.8/site-packages/astrodendro/analysis.py:254: MissingMetadataWarning: vaxis (Index of velocity axis (numpy convention)) missing, defaulting to 0\n", + " warnings.warn(\"{0} ({1}) missing, defaulting to {2}\".format(self.key, self.description, self.default),\n", + "/Users/ekoch/anaconda3/lib/python3.8/site-packages/astrodendro/flux.py:144: UnitMetadataWarning: 'Kelvin' units interpreted as main beam brightness temperature.\n", + " warnings.warn(\"'Kelvin' units interpreted as main beam brightness temperature.\",\n" + ] + } + ], + "source": [ + "# Give relevant metadata to make the catalog\n", + "\n", + "from astrodendro import ppv_catalog\n", + "\n", + "metadata = {}\n", + "metadata['data_unit'] = masked_cube.unit\n", + "metadata['wavelength'] = (299492758 * u.m /u.s / (230.530 * u.GHz)).to(u.m)\n", + "metadata['beam_major'] = cube.beam.major.to(u.deg)\n", + "metadata['beam_minor'] = cube.beam.major.to(u.deg)\n", + "metadata['spatial_scale'] = cube.header['CDELT2'] * u.deg\n", + "metadata['wcs'] = cube.wcs\n", + "\n", + "cat = ppv_catalog(d, metadata)" + ] + }, + { + "cell_type": "markdown", + "id": "3c788e8e-0801-4c40-a7ed-3c1c56636199", + "metadata": {}, + "source": [ + "The output is table with calculated properties per structure:" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "48cf7311-105b-4893-88f5-7749fccab83b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
Table length=5\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "\n", + "
_idxarea_ellipsearea_exactfluxmajor_sigmaminor_sigmaposition_angleradiusv_cenv_rmsx_ceny_cen
deg2deg2Jydegdegdegdegpix
int64float64float64float64float64float64float64float64float64float64float64float64
03.5791990251932973e-062.0454475308632626e-056.2132211647901750.00099788252943586740.0008235851240489066-142.633558361285480.0009065545801504041221868.354551853123.1215012304450327149.1225137912710569.71238608640864
12.6300702203056442e-061.2968364197524938e-053.72989056341674540.00100111582034232460.0006032329890092723162.359712634403220.0007771139483046036228752.16958888081.5569543654878029149.1366649242406869.70577122949213
25.789610497236678e-072.2685185185174817e-060.84092957939997790.00045448862900179050.00029250169659439027-156.213646199969960.00036460759052148395230648.137342348261.2066023446032617149.1205394702091469.71273428000306
35.685182082284948e-072.1550925925916078e-060.57515266455022880.00041021891215695440.00031822241286627204114.559942798127510.000361304375879899210893.053561370670.7836195007541925149.1230008552709369.71266852929817
41.38467091369874e-065.8981481481454526e-060.81309451458833630.00065277971774270620.000487059458656136576.234999717516120.0005638639338931584189548.51172690540.8486429688383577149.12507663032469.70583083335463
" + ], + "text/plain": [ + "\n", + " _idx area_ellipse area_exact flux ... v_rms x_cen y_cen \n", + " deg2 deg2 Jy ... pix \n", + "int64 float64 float64 float64 ... float64 float64 float64 \n", + "----- ---------------------- ---------------------- ------------------ ... ------------------ ------------------ -----------------\n", + " 0 3.5791990251932973e-06 2.0454475308632626e-05 6.213221164790175 ... 3.1215012304450327 149.12251379127105 69.71238608640864\n", + " 1 2.6300702203056442e-06 1.2968364197524938e-05 3.7298905634167454 ... 1.5569543654878029 149.13666492424068 69.70577122949213\n", + " 2 5.789610497236678e-07 2.2685185185174817e-06 0.8409295793999779 ... 1.2066023446032617 149.12053947020914 69.71273428000306\n", + " 3 5.685182082284948e-07 2.1550925925916078e-06 0.5751526645502288 ... 0.7836195007541925 149.12300085527093 69.71266852929817\n", + " 4 1.38467091369874e-06 5.8981481481454526e-06 0.8130945145883363 ... 0.8486429688383577 149.125076630324 69.70583083335463" + ] + }, + "execution_count": 31, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cat" + ] + }, + { + "cell_type": "markdown", + "id": "c948e36e-a95e-4ac1-b3b3-538878ffd060", + "metadata": {}, + "source": [ + "The catalog has a number of columns:" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "d6d20bf4-3379-45cb-abae-3fb04379c4db", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "['_idx',\n", + " 'area_ellipse',\n", + " 'area_exact',\n", + " 'flux',\n", + " 'major_sigma',\n", + " 'minor_sigma',\n", + " 'position_angle',\n", + " 'radius',\n", + " 'v_cen',\n", + " 'v_rms',\n", + " 'x_cen',\n", + " 'y_cen']" + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "cat.colnames" + ] + }, + { + "cell_type": "markdown", + "id": "37da42a4-5399-47d6-a7cb-5d7866414a25", + "metadata": {}, + "source": [ + "These are the primary observable quantities describing the dendrogram structures:\n", + "- `area_exact`: the area (spatial size of the \"cloud\")\n", + "- `radius`: the average radius described by a fitted ellipse to the cloud.\n", + "- `flux`: total flux (~proportional to estimating the H$_2$ mass of the cloud)\n", + "- `v_rms`: the velocity dispersion describes the internal motions within the cloud, typically attributed to turbulence.\n" + ] + }, + { + "cell_type": "markdown", + "id": "0566c96e-57ea-4060-92d0-e64e5cd4dbf6", + "metadata": {}, + "source": [ + "**Are we finished with this catalog?** From this point, we _could_ interpret the properties, adopting the properties of each branch to use well-defined connected structures and assign these as \"giant molecular clouds.\"\n", + "\n", + "However, the dendrogram plot above shows that the 1 source that splits into 2 structures based on our dendrogram parameters *only accounts for a small fraction the detected CO emission in that region.* While the hierarchical definition provides meaningful separation, particularly in fields with substantial extended CO emission (e.g., gas-rich galaxy centers) or significant sightline confusions (e.g., CO along the Galactic mid-plane), we are left wondering whether there are actually multiple \"clouds\" in source 1, or if this is simply due to our input parameters.\n", + "\n", + "To better assess this ambiguity, we will add an additional clustering step to the analysis with SCIMES." + ] + }, + { + "attachments": { + "7566d3ce-2e2b-4f85-b3a7-ba29b713e2d8.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "id": "bc38b1f1-3cea-4b8d-b75e-91ea820fdace", + "metadata": {}, + "source": [ + "### Using SCIMES to cluster the dendrograms into \"real GMCs\"\n", + "\n", + "[SCIMES](scimes.readthedocs.io) (\"Spectral Clustering for Molecular Emission Segmentation\") uses spectral clustering to assess how distinct dendrogram structures are from their connected structures. This minimizes the ambiguity noted above with relying on only on the properties of the dendrogram. See [Colombo+2015](https://ui.adsabs.harvard.edu/abs/2015MNRAS.454.2067C/abstract) for a detailed explanation of SCIMES.\n", + "\n", + "This clustering is especially helpful for fields with complicated CO emission. For example, here is the dendrogram from the SCIMES documentation where colored regions of the dendrogram denote single clustered structures:\n", + "\n", + "![image.png](attachment:7566d3ce-2e2b-4f85-b3a7-ba29b713e2d8.png)\n", + "\n", + "How can this be applied to our tutorial data to assess source 1? SCIMES uses the dendrogram itself and the catalog of properties to asssess how distinct structure are:\n" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "d4aa99b8-a36c-428e-b960-56812731e655", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "5 5\n" + ] + } + ], + "source": [ + "print(len(d), len(cat))" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "dace2811-c8dc-40bf-870a-99336764f6a2", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "WARNING: clustering will be performed on the Aggregated matrix\n", + "SAVE_ALL_LEAVES triggered: isolated leaves and unclustered leaves will be retained\n", + "- Creating affinity matrices\n", + "--- Not necessary to cluster. 'save_all' keyword triggered\n" + ] + }, + { + "ename": "ValueError", + "evalue": "not enough values to unpack (expected 5, got 2)", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mValueError\u001b[0m Traceback (most recent call last)", + "\u001b[0;32m/var/folders/zq/1v3_7dn10sl0f6m5xqw37fvw0000gn/T/ipykernel_82468/3042351764.py\u001b[0m in \u001b[0;36m\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;32mfrom\u001b[0m \u001b[0mscimes\u001b[0m \u001b[0;32mimport\u001b[0m \u001b[0mSpectralCloudstering\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 2\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 3\u001b[0;31m dclust = SpectralCloudstering(d, cat,\n\u001b[0m\u001b[1;32m 4\u001b[0m \u001b[0mheader\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mcube\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mheader\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0msave_all_leaves\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;32m~/Library/CloudStorage/Dropbox/code_development/SCIMES/scimes/scimes.py\u001b[0m in \u001b[0;36m__init__\u001b[0;34m(self, dendrogram, catalog, header, criteria, user_k, user_ams, user_scalpars, user_iter, save_isol_leaves, save_clust_leaves, save_branches, save_all_leaves, save_all, blind, rms, s2nlim, locscaling)\u001b[0m\n\u001b[1;32m 1097\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcolors\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mcycle\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'rgbcmyk'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1098\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1099\u001b[0;31m self.clusters, self.catalog, self.affmats, self.escalpars, self.silhouette = cloudstering(self.dendrogram,\n\u001b[0m\u001b[1;32m 1100\u001b[0m \u001b[0mcatalog\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1101\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mcriteria\u001b[0m\u001b[0;34m,\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", + "\u001b[0;31mValueError\u001b[0m: not enough values to unpack (expected 5, got 2)" + ] + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from scimes import SpectralCloudstering\n", + "\n", + "dclust = SpectralCloudstering(d, cat,\n", + " header=cube.header,\n", + " save_all_leaves=True,\n", + " user_iter=10,\n", + " rms=medrms.value)\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2d1f5b53-657d-4f23-b958-2be522fbbb38", + "metadata": {}, + "outputs": [], + "source": [ + "# Extra steps to re-label the assignment cube with the clustered ids\n", + "# Shift to cprops expectation\n", + "\n", + "asgn = dclust.clusters_asgn.data + 1\n", + "asgn,_, _ = seg.relabel_sequential(asgn)\n", + "# hdu = fits.PrimaryHDU(asgn, header=rms.header)\n", + "# hdu.writeto('filename_scimes_asgn.fits', overwrite=True)\n" + ] + }, + { + "cell_type": "markdown", + "id": "f63b577f-2186-477b-94d8-c8d2cd389bae", + "metadata": {}, + "source": [ + "### Make the final catalog using the pypcrops approach" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "6d92dd67-b7fb-4ef8-b9c4-37404ba4879c", + "metadata": {}, + "outputs": [], + "source": [ + "# from pycprops import cloudalyze\n", + "\n", + "# catalog = cloudalyze(cube, asgn,\n", + "# distance=840 * u.kpc,\n", + "# alphaCO=6.7, extrapolate=True,\n", + "# bootstrap=0, rmstorad=1.91,\n", + "# noise=rms, verbose=True,\n", + "# channelcorr=0.0)\n", + "\n", + "# # NOTE above choice of alpha_CO. Not showing a varying alpha_CO example here\n", + "\n", + "# # Adding additional useful properties:\n", + "# catalog['RAD_PC'] = catalog['RAD_PC'] * (np.sqrt(2*np.log(2))\n", + "# / 1.91)\n", + "# r3d = np.array((catalog['RAD_PC']**2 * 50)**(1/3))\n", + "# idx = (catalog['RAD_PC'] < 50)\n", + "# r3d[idx] = np.array(catalog[idx]['RAD_PC'])\n", + "# catalog['RAD3D_PC'] = r3d\n", + "\n", + "# usf = 4902\n", + "# catalog['PRESSURE'] = (3 * catalog['MLUM_MSUN'] * catalog['SIGV_KMS']**2\n", + "# / (8 * np.pi * catalog['RAD3D_PC']**3) * usf)\n", + "# rho = (3 * catalog['MLUM_MSUN'] / (8 * np.pi * r3d**3)\n", + "# * u.M_sun / u.pc**3) # extra factor of 2 is the mass/2\n", + "# tff = np.sqrt(3 * np.pi / (32 * con.G * rho)).to(u.Myr).value\n", + "\n", + "# catalog['TFF_MYR'] = tff\n", + "# catalog['RMSTORAD'] = np.sqrt(2*np.log(2))\n", + "# catalog['SURFDENS'] = catalog['MLUM_MSUN'] / (2 * np.pi\n", + "# * catalog['RAD_PC']**2)\n", + "\n", + "# catalog['SIGMA0SQ'] = catalog['SIGV_KMS']**2 / catalog['RAD3D_PC']\n", + "# catalog['VIRPARAM'] = (232 * 10 * catalog['RAD3D_PC']\n", + "# * catalog['SIGV_KMS']**2\n", + "# / catalog['MLUM_MSUN'])\n", + "# catalog['MVIR_MSUN'] = (5 * 232 * catalog['RAD3D_PC']\n", + "# * catalog['SIGV_KMS']**2)\n", + "# catalog['ECCEN'] = np.sqrt(1 - catalog['MOMMIN_PC']**2\n", + "# / catalog['MOMMAJ_PC']**2)\n", + "\n", + "\n", + "# catalog.write('filename_scimes_props.fits', overwrite=True)\n" + ] + }, + { + "cell_type": "markdown", + "id": "7b83163a-aec1-415b-84d1-5a8db25312e2", + "metadata": {}, + "source": [ + "### What can we do now with this catalog?" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "979ce9ec-4d91-421e-9b84-d9b24f7ed3ce", + "metadata": {}, + "outputs": [], + "source": [] + }, + { + "cell_type": "markdown", + "id": "809dce2e-cb18-47d6-87ab-7d6d59f248d3", + "metadata": {}, + "source": [ + "#### Comparison to the nearby galaxy and Milky Way GMC properties" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "62e699cc-55db-4086-8964-5e91a7be3d4c", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.10" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/temp_data/DFE1_com_co21_5kms_natural_pbcorr.image.fits b/temp_data/DFE1_com_co21_5kms_natural_pbcorr.image.fits new file mode 100644 index 0000000..f69ac0a --- /dev/null +++ b/temp_data/DFE1_com_co21_5kms_natural_pbcorr.image.fits @@ -0,0 +1,6921 @@ +SIMPLE = T /Standard FITS BITPIX = -32 /Floating point (32 bit) NAXIS = 3 NAXIS1 = 144 NAXIS2 = 144 NAXIS3 = 69 EXTEND = T BSCALE = 1.000000000000E+00 /PHYSICAL = PIXEL*BSCALE + BZERO BZERO = 0.000000000000E+00 BTYPE = 'Intensity' OBJECT = 'DF-E1 ' BUNIT = 'Jy/beam ' /Brightness (pixel) unit EQUINOX = 2.000000000000E+03 RADESYS = 'FK5 ' LONPOLE = 1.800000000000E+02 LATPOLE = 6.971262583333E+01 PC1_1 = 1.000000000000E+00 PC2_1 = 0.000000000000E+00 PC3_1 = 0.000000000000E+00 PC1_2 = 0.000000000000E+00 PC2_2 = 1.000000000000E+00 PC3_2 = 0.000000000000E+00 PC1_3 = 0.000000000000E+00 PC2_3 = 0.000000000000E+00 PC3_3 = 1.000000000000E+00 CTYPE1 = 'RA---SIN' CRVAL1 = 1.491341000000E+02 CDELT1 = -1.944444444444E-04 CRPIX1 = 7.300000000000E+01 CUNIT1 = 'deg ' CTYPE2 = 'DEC--SIN' CRVAL2 = 6.971262583333E+01 CDELT2 = 1.944444444444E-04 CRPIX2 = 7.300000000000E+01 CUNIT2 = 'deg ' CTYPE3 = 'VRAD ' CRVAL3 = 3.979122627500E+05 CDELT3 = -4.359691650027E+03 CRPIX3 = 1.000000000000E+00 CUNIT3 = 'm/s ' PV2_1 = 0.000000000000E+00 PV2_2 = 0.000000000000E+00 RESTFRQ = 2.305380000000E+11 /Rest Frequency (Hz) SPECSYS = 'LSRK ' /Spectral reference frame ALTRVAL = 2.302320086557E+11 /Alternate frequency reference value ALTRPIX = 1.000000000000E+00 /Alternate frequency reference pixel VELREF = 257 /1 LSR, 2 HEL, 3 OBS, +256 Radio COMMENT casacore non-standard usage: 4 LSD, 5 GEO, 6 SOU, 7 GAL TELESCOP= 'SMA ' OBSERVER= 'ERICKOCH' DATE-OBS= '2022-01-12T14:08:09.080000' TIMESYS = 'UTC ' OBSRA = 1.491341000000E+02 OBSDEC = 6.971262583333E+01 OBSGEO-X= -5.462448949395E+06 OBSGEO-Y= -2.491969916598E+06 OBSGEO-Z= 2.164446105480E+06 INSTRUME= 'SMA ' DISTANCE= 0.000000000000E+00 USEWEIGH= T DATE = '2022-02-27T20:39:18.812218' /Date FITS file was written ORIGIN = 'CASA 6.2.1-7 CASAtools:v1.0.0' CASAMBM = T /CASA multiple BEAMS table present HISTORY CASA START LOGTABLE HISTORY 2022-01-15T23:05:37 INFO SRCCODE='::ImagePrimaryBeamCorrector::correct (HISTORY >file ../../imageanalysis/ImageAnalysis/ImagePrimaryBeamCorrector.cc, liHISTORY >e 208)' HISTORY History of image /reduction10/erickoch/DFE1/postprocess/DFE1/DFE1_com_coHISTORY >21_5kms_natural.image HISTORY 2022-01-15T23:05:37 INFO SRCCODE='::ImagePrimaryBeamCorrector::correct (HISTORY >file ../../imageanalysis/ImageAnalysis/ImagePrimaryBeamCorrector.cc, liHISTORY >e 208)' HISTORY End history of image /reduction10/erickoch/DFE1/postprocess/DFE1/DFE1_coHISTORY >m_co21_5kms_natural.image HISTORY 2022-01-15T23:05:37 INFO SRCCODE='::ImagePrimaryBeamCorrector::correct (HISTORY >file ../../imageanalysis/ImageAnalysis/ImagePrimaryBeamCorrector.cc, liHISTORY >e 208)' HISTORY History of image /reduction10/erickoch/DFE1/postprocess/DFE1/DFE1_com_coHISTORY >21_5kms_natural.pb HISTORY 2022-01-15T23:05:37 INFO SRCCODE='::ImagePrimaryBeamCorrector::correct (HISTORY >file ../../imageanalysis/ImageAnalysis/ImagePrimaryBeamCorrector.cc, liHISTORY >e 208)' HISTORY End history of image /reduction10/erickoch/DFE1/postprocess/DFE1/DFE1_coHISTORY >m_co21_5kms_natural.pb HISTORY 2022-01-15T23:05:37 INFO SRCCODE='::impbcor' HISTORY version :5.7.2-4 Fri 2020/12/04 17:57:28 UTC HISTORY 2022-01-15T23:05:37 INFO SRCCODE='::impbcor' HISTORY impbcor(imagename="/reduction10/erickoch/DFE1/postprocess/DFE1/DFE1_com_HISTORY >co21_5kms_natural.image", pbimage="/reduction10/erickoch/DFE1/postproceHISTORY >s/DFE1/DFE1_com_co21_5kms_natural.pb", outfile="/reduction10/erickoch/DHISTORY >E1/postprocess/DFE1/DFE1_com_co21_5kms_natural_pbcorr.image", overwriteHISTORY >False, box="", region="", chans="", stokes="", mask="", mode="divide", HISTORY >utoff=0.25, stretch=False) HISTORY 2022-01-15T23:05:40 INFO SRCCODE='::imsubimage' HISTORY version :5.7.2-4 Fri 2020/12/04 17:57:28 UTC HISTORY 2022-01-15T23:05:40 INFO SRCCODE='::imsubimage' HISTORY imsubimage(imagename="/reduction10/erickoch/DFE1/postprocess/DFE1/DFE1_cHISTORY >om_co21_5kms_natural_pbcorr.image", outfile="/reduction10/erickoch/DFE1HISTORY >postprocess/DFE1/DFE1_com_co21_5kms_natural_pbcorr.image_nodeg", box=""HISTORY > region="", chans="", stokes="", mask="", dropdeg=True, overwrite=FalseHISTORY > verbose=True, stretch=False, keepaxes=[]) HISTORY 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