diff --git a/README.rst b/README.rst
deleted file mode 100644
index a1f1dd2..0000000
--- a/README.rst
+++ /dev/null
@@ -1 +0,0 @@
-Browse the branches to see the different notebooks I've been working on!
\ No newline at end of file
diff --git a/ccd_QE.csv b/ccd_QE.csv
new file mode 100644
index 0000000..287d209
--- /dev/null
+++ b/ccd_QE.csv
@@ -0,0 +1,69 @@
+100, 0.0, 0, 0
+309.4560021465238, 70.30747424892068, 16, 40
+319.539015188068, 73.11442326755378, 14, 30.35714285714286
+329.9917387078021, 75.26541144025542, 15, 35.46666666666667
+339.70504127115635, 76.58538173145493, 14, 30.35714285714286
+349.7880543127005, 74.70200948669466, 10, 16.1
+379.53294278525584, 77.10351031374742, 12, 23.66666666666667
+390.00376402070555, 81.79762370567437, 13, 26.153846153846164
+399.57293120532483, 84.52897199856781, 16, 41.1875
+409.3114413012829, 87.18136275806562, 15, 35.46666666666667
+419.59611460365807, 89.04058920481614, 15, 36.26666666666667
+429.14136694965316, 91.16038905508852, 10, 17.700000000000003
+439.5268703824437, 92.49142617037583, 12, 23
+449.97959390217784, 93.66048522401442, 15, 35.46666666666667
+459.69289646553193, 94.87582372383835, 14, 30.35714285714285
+469.6078592897171, 95.64295584810637, 12, 23.58333333333333
+479.8589225486203, 96.56602958452065, 14, 30.35714285714285
+489.5638226011066, 97.20551595368505, 16, 41.1875
+499.5983596184127, 98.01709917645256, 13, 28.615384615384617
+509.9916192150812, 98.32588678561568, 13, 26.153846153846157
+519.5607863997005, 98.26189461661147, 16, 41.1875
+529.3044672715774, 98.79719418907516, 13, 26.92307692307692
+539.8528501458082, 99.10133837554409, 14, 32.85714285714285
+549.5997627526343, 99.09379281366604, 12, 22.916666666666668
+559.5147255768194, 99.35788747939766, 12, 22
+569.9467659928786, 99.30100555139393, 13, 28.000000000000014
+579.6807516599077, 99.14661174681237, 12, 22
+589.5957144840928, 98.81209183688566, 12, 23.58333333333333
+599.9631202011678, 98.74843825078625, 13, 26.153846153846157
+609.5600803063503, 98.30855134089073, 15, 35.46666666666667
+619.6526962174579, 98.04495971261765, 14, 32.57142857142856
+630.0958168676286, 97.9845952175933, 16, 40
+639.6746792570956, 97.24513015354478, 16, 40
+649.5056169726012, 96.85779131047175, 12, 22.91666666666666
+659.840705340184, 96.40002722320364, 16, 40
+669.7685951041659, 96.0343576860368, 13, 28.000000000000014
+679.5025807711951, 95.87183789174043, 12, 23
+689.9637068017972, 95.09275862783217, 16, 41.1875
+699.7849493124552, 94.89671912596216, 13, 26.15384615384616
+709.5355553306517, 94.49854562993605, 14, 30.357142857142854
+719.8346329373718, 94.12126753603376, 14, 30.35714285714285
+729.728589484387, 93.52139536672911, 16, 41.1875
+739.8843165622885, 92.57268606752402, 13, 26.153846153846164
+749.9673296038327, 91.77633907547178, 13, 26.153846153846157
+759.6625344514713, 90.30410093890463, 17, 45.88235294117648
+769.5904242154533, 88.68846298384065, 13, 29.692307692307693
+780.3785430640984, 86.74856762101211, 11, 20.36363636363637
+789.5964794185556, 84.85909033073233, 16, 41.1875
+799.6067784237425, 82.8540023686008, 13, 26.153846153846164
+810.0775996591923, 80.76562301189239, 16, 40
+819.6564620486593, 78.18504084960068, 14, 30.35714285714286
+829.5234105250274, 75.90628116243079, 14, 30.357142857142854
+839.8224881317476, 72.63150730735885, 16, 40
+849.6894366081158, 68.93418198711632, 14, 30.357142857142854
+859.77244964966, 65.34249453316644, 14, 30.357142857142854
+870.0715272563801, 61.79608045048484, 14, 30.35714285714286
+879.7176097327907, 58.137992052008144, 15, 36.533333333333346
+889.8109643261723, 54.49429826388342, 13, 28.61538461538462
+899.9424533919547, 49.879751854580746, 16, 41.1875
+909.7313785531205, 45.18326838232029, 12, 24.583333333333332
+919.6943557251225, 41.57397461732164, 14, 32.857142857142854
+930.065454853568, 36.82027063415269, 16, 40
+939.644317243035, 32.80603171503223, 12, 22
+949.7273302845791, 28.791792795911775, 12, 22
+959.9586229296754, 25.094467475669248, 17, 45.882352941176464
+969.6772918024916, 21.397142155426735, 14, 30.357142857142854
+979.7603048440358, 18.43928189923271, 14, 30.357142857142854
+990.0593824507558, 14.892867816551103, 14, 30.35714285714286
+1100.0, 0.0, 0, 0
diff --git a/synspec.py b/synspec.py
new file mode 100644
index 0000000..acdead2
--- /dev/null
+++ b/synspec.py
@@ -0,0 +1,50 @@
+from synphot.observation import Observation
+import astropy.units as u
+import numpy as np
+
+
+def from_R(source_spectrum, bandpass, R, waverange, force='none'):
+ """
+ Returns a spectrum with bins defined by a spectral resolution
+ R and a given range of wavelengths. The bin width varies over the
+ range of wavelengths such that the ratio of the wavelength to the
+ bin width at that wavelength is equal to the given R.
+ """
+ first_wl = waverange[0].to(u.angstrom).value
+ binset = np.array([first_wl])
+ binwidth = first_wl / R
+
+ while binset[-1] <= waverange[-1].to(u.angstrom).value:
+ next_wl = binset[-1] + binwidth / 2
+ binset = np.append(binset, next_wl)
+ binwidth = next_wl / R
+
+ return Observation(source_spectrum, bandpass, binset=binset * u.angstrom,
+ force=force)
+
+
+def from_wave_binwidth(source_spectrum, bandpass, binwidth, waverange=None,
+ force='none'):
+ """
+ Returns a spectrum with bins defined by a constant bin width specified
+ by the user.
+ """
+ if waverange is None:
+ waverange = bandpass.waveset
+
+ # make sure units are the same before stripping them for np.arange()
+ waverange = waverange.to(u.angstrom).value
+ binwidth = binwidth.to(u.angstrom).value
+
+ binset = (np.arange(waverange[0], waverange[-1] + binwidth, binwidth) *
+ u.angstrom)
+
+ return Observation(source_spectrum, bandpass, binset=binset, force=force)
+
+
+def from_wave_array(source_spectrum, bandpass, waveset, force='none'):
+ """
+ Returns a spectrum with bins defined by the wavelength array provided
+ by the user.
+ """
+ return Observation(source_spectrum, bandpass, binset=waveset, force=force)
diff --git a/synspec_examples.ipynb b/synspec_examples.ipynb
new file mode 100644
index 0000000..6b08c1b
--- /dev/null
+++ b/synspec_examples.ipynb
@@ -0,0 +1,1016 @@
+{
+ "cells": [
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "# Simulating spectroscopy with synphot"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Authors\n",
+ "Tiffany Jansen, Brett Morris, Pey Lian Lim, & Erik Tollerud"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Objectives\n",
+ "
\n",
+ "- Query data directly from other websites using
astropy.coordinates.Skycoord, astroquery.Gaia, astropy.io, and astropy.utils \n",
+ "- Construct a source spectrum using
synphot.SourceSpectrum \n",
+ "- Model the effect of the quantum efficiency on the source spectrum with
synphot.SpectralElement \n",
+ "- Combine all of these effects into a simulated spectroscopic observation with
synspec \n",
+ "- Compute the expected count rate from this observation with
synphot's countrate() function\n",
+ " - Get the expected signal to noise ratios with
synphot.observation's howell_snr() and exptime_from_howell_snr()\n",
+ "
"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Keywords\n",
+ "synphot, synthetic spectroscopy, astropy, astroquery, astronomy"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "## Summary\n",
+ "In this tutorial we will:\n",
+ "\n",
+ "- Query the properties of our target star (HAT-P-11 to start)
\n",
+ "- Download model spectra from PHOENIX
\n",
+ "- Construct a source spectrum
\n",
+ "- Simulate an observation with a spectrometer
\n",
+ "- Model the effect of the quantum efficiency
\n",
+ "- Combine all of the effects and \"observe\"
\n",
+ "- Compute the count rate and total counts
\n",
+ "- Estimate the expected signal to noise ratio
\n",
+ "- Look at another example, this time with TRAPPIST-1
\n",
+ "
"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 41,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "%matplotlib inline\n",
+ "import matplotlib.pyplot as plt\n",
+ "import numpy as np\n",
+ "\n",
+ "import astropy.units as u\n",
+ "from synphot import units"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "The cell below will mute the warnings that astroquery raises, which will disappear anyway in the yet-to-be-released `astropy 4.0`"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 42,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "import sys\n",
+ "\n",
+ "if not sys.warnoptions:\n",
+ " import warnings\n",
+ " warnings.simplefilter(\"ignore\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "## 1. Query the properties of HAT-P-11"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "First we get the star's parameters using astroquery's Gaia query and astropy's SkyCoord: "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 43,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Query finished.\n"
+ ]
+ }
+ ],
+ "source": [
+ "from astropy.coordinates import SkyCoord\n",
+ "from astroquery.gaia import Gaia\n",
+ "\n",
+ "ID = 'HAT-P-11'\n",
+ "\n",
+ "coord = SkyCoord.from_name(ID)\n",
+ "width = u.Quantity(1, u.arcmin) # width / height of search\n",
+ "height = u.Quantity(1, u.arcmin)\n",
+ "search_results = Gaia.query_object_async(coordinate=coord, width=width, height=height)\n",
+ "\n",
+ "# the queried star will be the one nearest to the given coordinates\n",
+ "search_results.add_index('dist', unique=True)\n",
+ "hatp11_info = search_results.loc['dist', min(search_results['dist'])]\n",
+ "\n",
+ "# now get the parameters\n",
+ "stellar_radius = hatp11_info['radius_val'] * u.R_sun\n",
+ "# divide 1 AU by parallax (arcseconds) to get distance in parsecs.\n",
+ "# parallax is given in milliarcseconds, so multiply by 1000: \n",
+ "distance = (1 / (hatp11_info['parallax']) * 1000) * u.pc\n",
+ "T_eff = hatp11_info['teff_val']"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "## 2. Download a model spectrum for HAT-P-11 from PHOENIX:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 44,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "from astropy.io import fits\n",
+ "\n",
+ "T_eff = round(T_eff, -2) # round to nearest 100 K\n",
+ "\n",
+ "url = ('ftp://phoenix.astro.physik.uni-goettingen.de/v2.0/HiResFITS/'\n",
+ " 'PHOENIX-ACES-AGSS-COND-2011/Z-0.0/lte{T_eff:05d}-{log_g:1.2f}-0.0.PHOENIX-'\n",
+ " 'ACES-AGSS-COND-2011-HiRes.fits').format(T_eff=int(T_eff), log_g=4.5)\n",
+ "# Unit from PHOENIX model file:\n",
+ "flux = fits.getdata(url) * (u.erg / u.s / u.cm ** 2 / u.cm)\n",
+ "\n",
+ "wavelength_url = ('ftp://phoenix.astro.physik.uni-goettingen.de/v2.0/HiResFITS/'\n",
+ " 'WAVE_PHOENIX-ACES-AGSS-COND-2011.fits')\n",
+ "wavelengths = fits.getdata(wavelength_url) * u.Angstrom"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "## 3. Construct a `synphot` source spectrum object from the above arrays:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 45,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from synphot.spectrum import SourceSpectrum\n",
+ "from synphot.models import Empirical1D\n",
+ "\n",
+ "photlam_hatp11 = SourceSpectrum(Empirical1D,\n",
+ " points=wavelengths, lookup_table=flux)\n",
+ "\n",
+ "# Scale the flux to get the value at Earth\n",
+ "photlam_hatp11 = photlam_hatp11 * float(stellar_radius / distance) ** 2 / np.pi\n",
+ "\n",
+ "photlam_hatp11.plot(flux_unit='PHOTLAM', left=0, right=60000)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "(for other methods of constructing source spectra with `synphot`, see the first bulleted list here) "
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "## 4. Simulate an observation with a spectrometer"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "We will model the spectrometer after the instrument on the planned CHEOPS satellite, setting a spectral resolution R = 1000."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 57,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "aperture_radius = 32 / 2 * u.cm # radius of 32 cm CHEOPS satellite\n",
+ "aperture_area = np.pi * aperture_radius ** 2\n",
+ "R = 1000 # spectral resolution lambda / delta_lambda"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "To see what the binned spectrum looks like before hitting the CCD, create a bandpass object from a box uniform bandpass of amplitude = 1, which is equivalent to observing through no filter:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 47,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "from synphot import SpectralElement\n",
+ "from astropy.modeling.models import Const1D\n",
+ "\n",
+ "uniform_bp = SpectralElement(Const1D, amplitude=1)\n",
+ "uniform_bp.plot([3300, 11000]) # CHEOPS spectrometer will range from 3300 - 1100 angstroms"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Now we simulate a spectroscopic observation of resolution R = λ/Δλ (defined to be R = 1000 above) using `synspec` and its `from_R` function:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 48,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYsAAAEKCAYAAADjDHn2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJztnXmYFOXRwH+1B7ss933DglxyybECKiIeIIIRzwieSUyMGpMY8sWgUYOaGDQmmkRNNGoSj3hEY0RR8T5BDpVb0OUQFpD7lHOhvj+6d+mdnZmemZ2emd2t3/Pss91vv91dc73VVfW+VaKqGIZhGEY0stItgGEYhpH5mLIwDMMwfDFlYRiGYfhiysIwDMPwxZSFYRiG4YspC8MwDMMXUxaGYRiGL6YsDMMwDF9MWRiGYRi+5KRbgGTRvHlzLSwsTLcYhmEY1YpPPvlks6q28OtXY5RFYWEhc+fOTbcYhmEY1QoR+SqWfuaGMgzDMHwxZWEYhmH4YsrCMAzD8MWUhWEYhuGLKQvDMAzDF1MWhmEYhi+mLAzDMAxfTFkYRhhUlR17D8Z93qHDyj8+Wsn+0kMBSGUY6cOUhWG4lGzbw7X//pRn5qzm5Lvf5ZhbX+fhD1ZQOGka9739JQD7Dh7i4KHDEa/x1OzV3PrSEnrc9Bqlnn5bdu8v37e690Z1xJSFUauZv2Y7ew6U8vn6nQy78x1eXrCeXz6/kFVb9gDwm2mfA3D361/wz49W0vPm1+j2q1dRVQonTePEu95mz4FSijfu4t43v6hgjVz08CwAdu47yKDfvMmUV5dy/zvFdL7hFdZs3VNBjpJte9h3sKI1svWbAzw9ezVbdu/n1y8u4kDpYZ6c9RWPfLiSw4eVNVv3sKBkuykfIyVITfmiFRUVqaX7qN1s33OAWSu3cnrv1mGPHzx0mE279nP8lLdp17gua7fvLT925fAuPPT+iirL8J3jC/nnjFXl+zNvOIVv9h/itD++V6lv8W/P4G/vLefu178AoGm9Ovz14oH87b3lvLNsEz1bN2Dp17vK+zcpyGXbHn/X2NLbR5Ofm13l12LUDkTkE1Ut8u1nysKoKVz094+ZsXwLs288lZYN88vb9x44xPode/n11MV88OXmlMo0rGtzrh/dg7Pu+6jSsdOObsWbn28I5L5j+7Xh/osGBnJto2YRq7II1A0lIqNFZJmIFIvIpDDH80TkGff4LBEpdNsvFpF5nr/DItI/SFmN6sOitTvoN3k64+77sLxt1eZvmLF8CwALSnaU9yucNI2jb3mNU/7wXsoVBcCHxZuZv2Z72GNBKQqAaQvWs9p1pe3Ye5BfvbCQxet2WODdSJjALAsRyQa+AEYCJcAcYIKqLvH0uQbop6pXich44BxVvTDkOn2BF1W1S7T7mWVRO1BVOt/wSvn+LWf2YmiXZny5cRc/fXoeAM3r5/G7c/vyg8fs+7BqylgKJ02r0Hbvhf0Z178tIpImqYxMIhMsi8FAsaquUNUDwNPAuJA+44B/udvPAadK5W/wBOCpAOU0MpwvNuxi6dc7eXLWV6zZurfCsdteXsKYP39QoW3z7v2mKFw+DGNNXffMPO5+fRngKN8Pv9zM1U98wuMzVwFObMcsECOUIOtZtAPWePZLgCGR+qhqqYjsAJoB3m/4hVRWMkYNwxmgDvPH179g6dc7GduvDRcP6cSarXsYdc/76Rav2nLJI7PCtt//znIWr9vJu8s2lbe9uuhrRvVuzZA73gLgT+P7M65/OwCenbuGDk0KOO6oZsELbWQkQSqLcDZuqM8rah8RGQLsUdVFYW8gciVwJUDHjh0TFNPIBEbd8z4rN39Tvj9j+RaWfb2LMX3bxHT+/oOR1z4kk1vO7MVtLy/x75hETu3ZkreWbozrnFhmTnkVRRlligLgzc83MqZvG7794Ew+W+3EXaZeewJdWtTnm/2lNCmoQ50cm31fWwhSWZQAHTz77YF1EfqUiEgO0AjY6jk+niguKFV9CHgInJhFEmQ20oCqVlAUZTw28ysemxlTES+uf35BssWqxEndW9C0Xp3A7xPKI985tlLcwY+5N43kqBtf8e8YhZfmr+PdZRvZta+0vC10VteCyaN4Z+lG/vJ2Ma9fN5ysLIuD1FSCfCyYA3QTkc4iUgdn4J8a0mcqcLm7fT7wtroRdxHJAi7AiXUYNZi/vrc83SLERG52FocOp+eZ5JwB7Xz7DOjYuHw7O0mDtldRhOOdpRv56dPzKN64my43vsKGnfsAZwZW6CLDMmrKdP3aRmDKQlVLgWuB6cDnwLOqulhEbhORs9xujwDNRKQYmAh4p9cOB0pUteorpYyM5q7XlqVbhKiM6NGClg3y+PEpXTkUMtDNvvHUlMhwz4X9iTZ5aUzf1jx4yaCUyOLlphcqeoiH3PEWm3fv55hbX6ffra+zYtNu9pceYv6a7Vz26GwKJ02j8w2vMOL377B8025UlcNpUsBGfATphkJVXwFeCWm7xbO9D8d6CHfuu8DQIOUz0se67XsZftc7XDPiqHSL4svEkd3p1955av98/c4Kx1o2zGf5HWPKXT5dWtTjvgkDy2doXXdaN+5988ukyBHtgfyiwZ1oWDc34vHCZgXlKUy8dGlejxUhLsCcLKE0xgF81/7KlseUV5cCcKD0MKf8ofLKdYBVW/ZwqnssLyeLZb85g2Vf7+KXzy/g8SsG0yA/8msx0oNFp4y08NbSjZQeVv78dnG6RfFFPPMwvJZFm0bOKnGvy+ftn4+gV9uG5fuxuI+SRVaI6ZHjkSv0WBnPXnUc153WrULbz0Z2r5IcH6/YElf//aWHefiDFZx+7/vMW7OdvpNfZ/f+UlTVXFYZhCkLI6X846OVfLFhV7UaBLzjbJfm9QGYcm5fZt4Q2QX11A+G8ovTe4QdpD+adErSZYTKcYp3fzGifDtS4Ll5/TwKm9Wr0Naobi6/OL1HwnKUbNvr3ymEsoSNZfT59XSu/fdnnPPAjITlMJJLoG4owwjl1pecaacTBnfw6ZmZHHdUM96cOJyjWtT37XfcUc0o2VbZ9dOucV0a5uewM0rwuGPTAlZvrXxuJBQlVB/UyT7yLFhQp3JiwZ6tGwBwOERxTxjckQffT/+kg2kL1wOw50ApBXVsqEo3ZlkYaeGp2Wv8O2UIodZB15YNYk6VEcn9c1KPlhHPqZubzZPfD12/6k+oTPkeBXH/RQO56qQj8aGHLyviuauPByrHQrKzpJK1kWxO6t4i5r6XPBx+YaGRWkxZGIGz9ZsDjL73/bBrKVJFUacmMfXLy8li1ZSxXDCofXlbVVIoRTr39+f346Vrh1Vq/9P4/nx++2g6NC2odKxD07oR7+Md8I9q4Qz0DT1B4g5NC5h0Rs/y/ZN6tKB+nvO0HmpZAJzRJ3yadz8a5MdmAcQzs/fT1dvLC059s7+UwknTeOLjrzhQephFa3ckIqaRAKYsjMC4/rn5/OH1ZQy8/Q2Wfr2Lv72bPtfG5LN6x9SvbHD//QXH0LVl/QptiRBqWUz7iaMg8nOzadfEGfwbegbYsvQaAHed14+bxh5dvv/8VcfzxBVHLI6uLetzTPtGFa7/wjXH89xVx/vKle2RK5yyEJG41mpcflwnwFG2sVB6WLn3wv7kZAk3n9nLt/+2PQcA+M4/ZgNw0/8W0f2mVznzLx+GdfUZyceUhREYz84t4S+e2U65ObENPuf6zCDKzY5/9O7TrlHEY37BXAmblSY2QhWNdwV4jvs6Oreoz7M/PK6SHN8+tgPfP/FIsuWWDfMZ1q15+f6bE0+qNMV0QMcmNImyyvySoU5aHG/A2ztLNlbLIJSJI3tw6dBOXHhsbLGo0kPK2QPaUXzHGK4Y1rm8/c7z+obtP/i3b3H4sDJn1bZKx56evYYl645MaV5Qsp2Jz8wrX79RvHEXf39/BQtLdrDdVTpG/FjUyEgKry1aT8/WDSlsHtnXvWHn/piude7A9vz3s7URj4/q1bo8+JkMmhRET+FRJTcUodNZjzyfNczP5eHLihjYqQlN69VhcOem8V/fvXysc8tuO6tPpSd5r2Ux51enxS0DQKOCXG4/uw8PvBvbVOjSw+FzeTXMz6V324YsXrez0rEuEdKX3PdOMfe9U8yqKWNZt31veUqScwa2Y9e+Um7+3yK2fOMoiZ6tG/DadcNjktGoiFkWRlK46olPGXH3u+X7oTWmAd5YEluxn6ww38qRvVqVb4dzm1QFrzLo3bayBRKLrmjdMJ/m9f3zRuWEuHZO69WqSvmmyuISkayt0EByVpaQl1NxZpTXsvCWY01kenNuuA8vDEM6h89eW5CXUx5/+eO3j4nr3r98bgG/9UzBvfSR2Vzz5KfligJg6de7KN64m0c+XMmM4s3s3HeQq5/4hI27nDQlT89ebXGQCJhlYSTMys3fcPLd71bwqwM88fFX3PS/sImCYyI7zKN8p6YFfO+Ezjz60cqkK4syujSvx6OXH1u+H89gOSPGtRPZCbjQovHbc/rQp10jjusSfvD9x3eO9X2/Ir3ORN7lnBhe3/u/OLk8XhNKvTrZ5fft3qoBz111HOf/bWZM935mbmwz7Lz10Pu0a8iitTt5ddHXvDnxJCb9dyEAc286jeb182K6Xm3BLAsjYSY89DFQeUFVVRQFhE+C17FZAT88yfHfXzykU5WuH4nBnZvSqCCxNBNZWRJTxtVwirAqNC6ow9Ujjoo4lTcrS8jJjv4zbxQhTUiZDvnpqc4K7wZ5OVw8JHopgHBThf9wQUULoWOzgojB84I6OeXKK0sk6vqK/1x1XFRZYmHR2iPuLq8SKfrNm1W+dk3DlIWRMLv2Ra+XkCjhxr1LhnSiVcN8Vk0Zy/A45ugHJU+iJCsbbDL5Vr+2UY+PdqfR1snJ4rfnhA9Al+G1Ysb0bc25A9sxtl9sNUkA8nOPDEki0L1VfS4sCh80r5+Xw6opY1k4eVTM14+Hu6cv48V5a7nk4VlMW7CeHzw2l23fHOC9L5w6ILUtAaK5oYyECeqnEs4rEvrU/sI1x3PhQx9zoNS/6JF3MVq8900mAzo2jnlqaSrxs4hC4yEndW9RPmCG4h0/WzbIj3nKchn5udnlCkcEcrKzuPP8fmFdTGWxngb5uYhU/Pwa5Of4plf34753jgTrPyx2incOWPJGhT7/veZ4crKkPNFkTSbzvrlGtSGowTWWB7YBHZtwtJuuIhK3jevNnef1rbAYLdXUy3MCxt89oZAXrjkh5pXfmUSu68Yq+1j+9b3BEftW9Wm7cUFu+fcq2pTll64dRquG+UfO87jSurasz8LJpzMkgdll8XLuAzM4676PeODdYpas28m0Bev5akv6Fp8GiVkWRsJoGNti3fb4k8hVum6MWujBS4sY+ru3Ih7v1KxehdlAPzixM3//YGWlfkEO3wV1cpj/61Hlq6WrI2Uxj1g+l9B6H7Gy/I4xfOPmgCq7gtfgOWdAO17wTKfuG7IY0auEy+Iqp/duzayVW2mYn8NZ/dvyxMerE5ItFu56bVmluixPXDGEt5Zu4L1lm7jr/H50a9mAvNysCjPOqhPV9xtspJ1w48JYt45DvHjdBrEON60b5Uc93jgkcPursb2YMLhjxBoLQREpgFxdKHNDxfK5JDpTLTtLyqcB92vXiOKNu6nvWSB49wXHcMc5fTn6ltfCnu9V+JcMdSZAfPeEQs4d2I7G7joar7IY2qUpH6/wVnCGsf3acFyXZuTnZvN//5kPwPWje/CvGatiXiPk5ZJHjuS08s7oun1cb07s1iLqmqRMxJSFkTDhhoVtexILei+cfDp3vbaUAR2bVBpwEkmqB45LIxYiDW+ZGr58/WfDY4rVJIuyhYSx6IFkuCbvOLcvlx1fSJtGR6bXZmcJdcNkzg1HmdtMRMoVBcCLPzqBFz5byz9nrGLyWb0ZfW/FB5v7LxpYvn3OgHZkiXONa0Z0pXjj7gqzparCzS8urrD//NXHMyjG3GXpxGIWRsIke8C6fnRPRvZqVWnAiXe++7GFzg+vRYP4zoscTsisOEP3Vg2ipi9JFt85vhA44g5KVQ2S/Nxs+neIL2Bc9tm98bPIq7OP6dCYyWf1ZtWUsfRs3TBiP3CUk9e11bVlfdo1jpzIsYy7zu8Xm8AezvvrDAonTePihz9mhhtIz0TMsjAyjtAxKd6Y8JPfH8rm3fvjroFQjeoxJZ1/fOdY9oco/19/qxc3n9mL3VWcVZQanC9JLGtdEsVr8S657XSueuJT3g+ZFTby6Fahp8XMR8Vb+Kj4SJXBW8/qzVEt6nNC12YZMTEiUMtCREaLyDIRKRaRSWGO54nIM+7xWSJS6DnWT0RmishiEVkoItEd1EaNoXvrioWF4v2Z1MnJom0MT4GJXr8mcnLPluXrKcoozzwbR/4pr/URbny7+4L4UnjEStm94ln0eM6Adny7qL1/R5fTXEXw8GVFFNTJ4bHvDWbVlLG8/OMjqeYb1c1lcGH4WVjxxq5+PXUxlzwyi9teXhLXeUERmLIQkWzgfuAMoBcwQURCcxFfAWxT1a7APcCd7rk5wBPAVaraGxgBBLMCzIiblxes45hbXw/s+i0bOIvvysiAh6paTVmAu3OcAdlwltpZx0RfAJgoZV+ReBY93nNhf+46P3bldcu3ejH7xlM5rVdF68HrEszKEp69qnIGYaiYpHG8m523Y5i6JaH846NVrNu+l2fnruHSR2Zx60uL6XHTq8xZtdX33GQSpBtqMFCsqisARORpYBzgVZPjgMnu9nPAfeLYW6OABao6H0BV46sAbwTK7S8vYcfeVOpu0xbppKBODo9+p4hjYlh45ucuCXoBe5BuqNzsLFo2jOzg8KZ3v/qko/j99IpTaet4FmT+auzR9GzdgK17DvLnt770vfc1T37KvDXbAfjgSyeuccHfZlZ4qAqaIN1Q7QDvsssSty1sH1UtBXYAzYDugIrIdBH5VESuD3cDEblSROaKyNxNm8KvKDWqP8m0LOKa416LYxihnNKzFc3inGgQ7nMLyvdedtlEdEXLBnnlLqZE+fiGU/nw+iPJJP2UVoP8XL5zQueofbyUKYp0EqRlEe7dCv35ReqTAwwDjgX2AG+JyCeqWmEFlqo+BDwEUFRUZD/tFJHqQHA8v/+nrxwa9XjbxnX5y4QBDOvanAG3vxG1b/n9zbCJGb8ZU1V98O/RqgHrd1R94aeX2QnW8PASbc3PL0f3ZM8BZ5LA9OuGl6/qTwZPz17N+MHRkzsmiyCVRQngzQDWHlgXoU+JG6doBGx1299T1c0AIvIKMBCIvFzXSBkbd8W/QKkqxPo0WlAnm6ERUnV7+VYEv3m4FelG4oRL11FVy2J6hKmxValmGBTPXDmUnOysCmsoeoSmqPEo11d/eiKzVmxh8kuxB7Qn/XdhypRFkG6oOUA3EeksInWA8cDUkD5Tgcvd7fOBt9V5NJkO9BORAleJnETFWIdRiwh6GDDLIRjSoXwzafrzkC7N4lpsl5udxcVDO8W9QC9V2W8DUxZuDOJanIH/c+BZVV0sIreJyFlut0eAZiJSDEwEJrnnbgP+iKNw5gGfquq0oGQ1MptYB3Mb82svZ7t12xOtIZ4uQof53Owsnr/6+Liu0eXGV/goBYv5Al1noaqvqGp3VT1KVX/rtt2iqlPd7X2qeoGqdlXVwWUzp9xjT6hqb1Xto6phA9xG6inzvaaSdLkYrjm5K+CUTDXiJ5Wf2/Wn92Dh5FE0yK++ebjae6oHNnFT1fzo5NjS61/3zLxAZPJSvdSwEQiHDivrd+ylSUEd6vlkRz3vr7GVuPTjyuFdGNWrFe9/sYkTfYoZRbMsCupks+fAoSrJcoybWiJ0Rsz5g9pz/qDYF20Z6SMrS6qloihzm00c2b3CTL3XrhtOyba99O/QmPvfWe57nYcuHRSUiOWYsjA49Q/vsmrLHnq2bsBr1zkBxP2lh8jLqTxr4/P1Oyu1JcKNY5y63UURVrvGyru/GMHg31Zt3kPP1g0p/u0ZvuVHjfgY0LHmFwRKFqHPQ60a5pfX6zi2sAlzVm0rP1avTjbnDmzP4x9/Vd7mTboYFPbrMFi1ZQ8AS7/eBUDxxt30uOk1Xpy3NtppKSOaZdG8Xnxz/yNhiiK5nDOgXcRZZ8YRYpkEEC5of91p3SrsFyRxOm4k7BdSizl0WPneP+dUai+zHl5fvCFp92oZZwZYL9GmW9pMpsykbWOL88TCpUML6duuERceG77OuJc7zztS/zx0gWRBCgoqmbKoxWzYuY+3l25Myb1yqrAaK9qZIsL06yKnpTZSS6Spq6f0bJlaQaoJrRvl89KPh0VNI1JGE7c2R9nDk9dyS4VlbMqihvKvGasonDSNbd8cCHt87fa9lVJSVyKJT+1VWYzld2q8dSuM4AmdCfXgpYNYOHlUmqSp3nRq5iRwLCvkVPbOnutOFz7JZ4JIsrAAdw3lqdlOCcn1O/bRpF6dSsdPmPJ2SuWpirvIbwqmeaIyn9zsrPIKdkZ83H52b87o05o+7ZyCTd1DVoGnyhVryqIGsn7H3vJg9ebd++k7eTrdWtbnv9eckDaZmtarQ8m2xHL6+P0YqvJjKYixVKdhpIuCOjnladGf/P4QereNXuUvKExZ1EC+2LC7fPuyR2cD8Onq7ZQeOszVT37KG0uSF7iOlb9fVsSQOxKb4hqrLojX1fXqT0+kWf3KVpdRdSzPVjCc0LV52u5tyqIGEqla2IrN3/gqiqDqLLeqyipoP8vC7RCv7Ee3Sc8TmmEkg7JFfE3DuJmDwJRFDWP3/lJmLA+fJ+b//jPf93zv4p9MeTj0TRthQYuMIxOzwNY0hnZpyu3jepfnxQoaizjVMH72zDweeDd8eoAFJTt8z//2gzPZtif8DKp0EXMiQVt0YdQiRIRLjytMWZoTUxY1jOUbd/t38uGWFxc7Gxky9vqJYToi9Xz4y5P59/eHpFsMI4WYsqhpJHHgnLZgffIuVgXMYsg82jcpoGvL+pXaM8RzaQSAKYsaRpDD6pbdiVXI6xZmUIkHUxUZSpQPxvR7zcMC3EbMfLV1T9znvPzjYXRsVlCl+/qus6jS1Q3DiAWzLKo51z83n8JJR4oIBumyue7p+Aus9GnXiIZVDMD5zawx10d6iPa5ZFJ5UyM5mGVRzXl2bgngrDH476dr2R7ATKZFa3cgAqsTsCzC8ZNTusbVX2J8pDELI7WYq6l2EaiyEJHRwJ+AbOBhVZ0ScjwPeAwYBGwBLlTVVSJSiFO3e5nb9WNVvSpIWas7Vz7+SWArs8/8y4dJvd7EUT3i6h/rmGQPs6klejbglIlhpIiYlYWINAHaAnuBVaoaNWWpiGQD9wMjgRJgjohMVdUlnm5XANtUtauIjAfuBC50jy1X1f6xv5TaTTpSeKQKmw1lGOknqrIQkUbAj4AJQB1gE5APtBKRj4EHVPWdCKcPBopVdYV7raeBcYBXWYwDJrvbzwH3iY0MRggx54YKVAojFPup1i78LIvncNxEJ6rqdu8BERkEXCoiXVT1kTDntgPWePZLgNBVPOV9VLVURHYAzdxjnUXkM2AncJOqfhDLCzKSy76Dh9Itgrk0MhT7WGoXUZWFqo6McuwT4JMop4f7LoW6lSP1WQ90VNUtrlL6n4j0VtWdFU4WuRK4EqBjx45RRKmZRCpslEx63vxa4PfwI9Z6Frk5NrkvlYRT4jYLqubi54YaGO24qn4a5XAJ4C0s2x5YF6FPiYjkAI2AreqkD93v3uMTEVkOdAfmhtz/IeAhgKKiolr3NR1+VyQPYM3Cz7JokJ/Lz07rzth+rVMjkOGLWR01Dz831FxgMU6sAip+BxQ4Jcq5c4BuItIZWAuMBy4K6TMVuByYCZwPvK2qKiItcJTGIRHpAnQDVsTwemoVu/aXpluEjOGnp3VLtwi1jqjrLFIoh5Ea/JTFz4HzcGZAPQ28oKoxZapzYxDXAtNxps4+qqqLReQ2YK6qTgUeAR4XkWJgK45CARgO3CYipcAh4CpV3RrnazNqCBazyFDCfC72WdVc/GIW9wD3uNbBBOAtEfkKuENVfZfzquorwCshbbd4tvcBF4Q573ng+ZhegVHjsdoImYnFLGoXMUUEVXUl8CLwOs6U2O5BCmUYXuxpNTOJuigvZVIYqSKqshCRLiJyo4jMAm4F5gM9VfXZlEhnBEK41NKJ0iwFJR1t4DGM9ONnWRQD3wZewwlCdwSuEZGJIjIxaOGMzOd7wzoHfg9b/JWZ2OdSu/ALcN/GkYkNoY+j5p2sphyuZo5lG5IyE/tcahd+Ae7JkY6JyLFJl8ZICcn8kafi4dIeYDOTsAFue4asscSVdVZEeuFMb50A7ACKghDKiM5jM1fxwmdrEz4/Nzt5K53jman0lwkDyM6Kf+Q3d4dhpB9fZSEinXCUwwSgFOgEFKnqqmBFMyJxy4uLq3R+q4b5LP16V1JkiWcc/9YxbZNyTyMzCPegYNOcay5+s6Fm4KyTyAXOV9VBwC5TFNWXnq0b0Kttw6Rdz4aG2osZfLULP3/EJqAB0Apo4baZUzLFzF65lU279iflWkM6N03KdcqINmAc3SZ5SsmoHljMouYSVVmo6jigL/ApcKuIrASaiMjgVAhnOHz7wZmc88BHSbnWoMKmSV1lG83t8N0TCpN3IyPjiGpZmNlR4/CNWajqDuBR4FERaYlTye5eEemgqh2in20ki5Jte9m8ez9NChJfBDdj0im0bVyXJet2+neOERsTDKN2ENe0GFXdqKp/UdXjgdkByWREoOg3b3L368v8O0agbeO6gLkKjOQQzqps0SDP+V8/+JX9RmqJa+psCLbOIg28mYxa28l0Q5lpUWsJ99FPOLYjDfJzObNvm9QLZARKVZSFjRLVlGTaFdGWTdgXpGYT7vPNyhLOsinSNRK/qbNNI/w1w8aCtBDrg/xPTukarCCG4WLGZe3Az7L4BOdBNNzXIfgC0EbCDOjYJOIxTeJ0qGiXMhdVzcY+39qFn7IYoapfpUQSwzCqFWWqYlCUBxOj5uCnLF4ABqZCECM2Yk6nEKVbMnNDRbNR7LmzZpOVJbz842F0alaQblGMFOA3atjvPc0k02VUxo9OtniGkRz6tGtEg/zcdIthpAA/y6J/GLSYAAAgAElEQVSdiPw50kFV/Um0k0VkNPAnIBt4WFWnhBzPAx4DBgFbgAu9eadEpCOwBJisqnf7yFojSVRXlGn54d1bcMuZR3Pw0JEL1cvL4d3/G8GIu99NgnyRBTSXtmHUHPyUxV6cIHfciEg2cD8wEigB5ojIVFVd4ul2BbBNVbuKyHjgTpwV4mXcA7yayP1rCqFD8d6Dh+I7X5WuLRtUam+apEVT0ZRZThLdXYZhpBc/ZbFFVf+V4LUHA8WqugJARJ4GxuFYCmWMAya7288B94mIqKqKyNnACuCbBO9fIwh9cl+9dU9M56V7psqPT+nKmD6t0yqDYRjJw+/RryrTY9sBazz7JW5b2D6qWopTUKmZiNQDfgncWoX71wgS8UK9OXF40uWIRKTUIT8f1cMsC8OoQfiVVR0qInWAi4HeOGPXEuDfquqXMzvco23oyBKpz63APaq6O9oTsohcCVwJ0LFjRx9xqieJxCy6tmzA2u37ki9MGKpZOW/DMBLEbwX30TjKYQSwGsc6GAEsdkusRqME8GalbQ+si9RHRHKARsBWYAhwl4isAq4DbhSRa0NvoKoPqWqRqha1aNEi9HDGc+iwUjhpGo98uDJin0ST/lls2TCMZOIXs7gPuFpV3/A2ishpOMHrk6OcOwfoJiKdgbU4tbsvCukzFbgcmAmcD7ytjpP+RM+9JgO7VfU+31dTzdhf6gSrb395CVcM6xy2T1Wf3IN68j+1Z0veWrrR8tcaRi3Bd+psqKIAUNU3ReQv0U5U1VLXGpiOM3X2UVVdLCK3AXNVdSrwCPC4iBTjWBTjE3oVRiWCjm+3bJgPwOEA/VC92zak9JCpI8PIBPyURZaI5IXGJ0QkP4ZzUdVXcGp4e9tu8WzvAy7wucZkv/tUV6pzcfsyZRTka5j2kxP9OxmGkRL8pqs8BjwvIoVlDe72s8DjQQlV29mw80hwOtEH98GdmzKqVytuG9c7SVIZhlGb8avB/RvgNeB9EdksIluA94A3VPW2VAhYkwkXvH5t0dcMueMtPvhyU8Q+sZCXk81DlxXRpUX9KskYiTIlZqu0DaN24DsRXlXvU9WOQGegUFU7qWrUeIURG+Gshs9WbwNg0dqdEfskgzpJWgMRTleM7NUqKdc2DCNziBp3EJGJYdrKt1X1jwHIVGuImrFV/PuE8sDFA+nSol5MffNzszm7f1v+Ny90NnPVuOu8fpw3qH1Sr2kYRvrxe7xs4Pn7v5D9ygmHjLiIJaNsPFln2zTKp2frhjH3b9+k6qmlQ91QuTlCdrRaq4ZhVEv8VnCXp9sQkbO9+0bVORxGD4Q2xWNZtHKnsxqGYSSbeBzXNuE92Xje0TeWbKhwaN/BQzw7d41vzOKu8/ox68ZTmfaTYbRtXDfO2zsX//nI7nGd5yV06qyl/zCMmonvWgkjOLwznX7w2FxWTRlbvn/vm18CUD8v+kfUpnE+rRrmV8mq8LqSmtevw+bdVl7dMIyK+AW4F+I8/wpwlIgsKDsEqKr2C1i+Gk24p/DQGMXufaVRr5GMRXGq8PKPh1GybS+/emFhXOfa1FnDqB34WRZnpkSKWkosHhu/dBrJGqz7tGtEn3aN4lAW4eUyN5Rh1Ez8AtxfuUWIugILVXV6asSq+Xy+ficN8iu//X//oGIGWr+xNxm6wqtwbKw3DCMcfm6oB3DqWMwAbheRwap6e0okq8EsWbeTMX/+gN5tK05zXROmCt6vX1wc9VoN6+YmLEdZnKNFg7yErxGKKRvDqJn4uaGGA8eo6iERKQA+AExZVJExf/4AgMXrdlZoP/Gudyr1PXDocNRr5edmJyzHJUM60bx+HqN7J17+NN3lWw3DSA1+yuKAqh4CUNU9YiNDxlGVTyQrSxjTt02FttgXAdpXwTBqE37rLHqKyAL3b6Fnf6FnZpSRRoIesm8/u0+EI5EC3OaIMoyaiJ9lcXRKpDASJitgY29Ur1bc/L9FEY+bfWEYtQM/ZbFafR4VRUT8+hjBYY5BwzBSgZ8b6h0R+bGIdPQ2ikgdETlFRP6FU0PbSBNBV9vzewwIVVb21GAYNRM/y2I08D3gKRHpDGwH8nFqar8O3KOq84IV0YhGsi0L72B/+9l9fIsvmWFjGLUDv0p5+1T1AVU9AegEnAoMdAsg/cBPUYjIaBFZJiLFIjIpzPE8EXnGPT6rrHyriAwWkXnu33wROSfhV1jDSbay+Nslg8q3j+vSLLkXNwyj2hJzIkFVPQisj7W/iGQD9wMjgRJgjohMVdUlnm5XANtUtauIjAfuBC4EFgFFqloqIm2A+SLykqpGT5RUDTgULi95FUj2bOahXZqx/I4xrN66h87N67Fu+96Y79+zdQNGWZU8w6iRJKe2ZngGA8WqukJVDwBPA+NC+owD/uVuPwec6gbM93gUQz41yBX++fqd/p3iIAg3UHaW0Lm5U3GvdcN8Jgzu6HOGY+G8dt1wGhfUCUAiwzDSTZDKoh2wxrNf4raF7eMqhx1AMwARGSIii4GFwFXhrAoRuVJE5orI3E2bNgXwEpLP9c8ld3lK0FNns7KE353bl+b1j6QEmTHplPLAt83GMozaQUzKQkR6hWkb4XdamLZQCyFiH1Wdpaq9gWOBG0SkUsEGVX1IVYtUtahFixY+4mQG+0sPJfV66Ris4y2yZBhG9SdWy+JZEfmlONQVkb8Av/M5pwTo4NlvD6yL1EdEcoBGwFZvB1X9HPgGiLSUuFrhl+spXtL9YF92f1tpYxg1m1iVxRCcQX0GMAdn0D/B55w5QDcR6SwidYDxwNSQPlM5sk7jfOBtVVX3nBwAEekE9ABWxShrRnOgNLnKIv3aIt0CGIaRCmKdDXUQ2AvUxQk4r1TVqKOeO5PpWmA6zrqMR1V1sYjcBsxV1anAI8DjIlKMY1GMd08fBkwSkYPAYeAaVd0c52vLSJKtLIKOWRwhNUWYDMPITGJVFnOAF3HiB82AB0XkfFU9P9pJqvoK8EpI2y2e7X3ABWHOexx4PEbZqhXJVhaZMkabG8owajaxKosrVHWuu/01ME5ELg1IphpNaYavs4hypzhaDcOoacSqLDaG5ocC3ku2MLUBv5ra8ZJlo7VhGCkgVmUxDcdpLTgxi87AMpySq0YcHDyUZMsiTc/2ts7CMGoXMSkLVe3r3ReRgcAPA5HIiI+UDdYWlDCM2kxCK7hV9VOcYLeRZlL3ZF/xRmZRGEbtIibLQkQmenazgIFA9civUcNJ1dTZSnUrytxQFuI2jFpBrDGLBp7tUpwYxvPJF8eIl5StsojghSpTIqcdbdlmDaMmE2vM4tagBTESIxPcQTMmnULTepZt1jBqMlGVhYi8RJTIpqqelXSJjLjIBDeQJRY0jJqPn2Vxd0qkqMZ88OUmtu05yFnHtPXtqwEsc84Ey8IwjJqPn7JYqaqrUyJJNeXSR2YDxKQskl0lD1KnLPp3aMSbn2+sfP/U3N4wjDTjN3X2f2UbImIB7SqS7FQfkDo31BXDuqTkPoZhZCZ+ysI7EtloEQNvL93AvoPhCxwlO9UHpC7dR5cW9VJzI8MwMhI/ZaERto0wfLZ6G9/751zueOXzsMcDsSxS5Idq1bBioUK1r4Nh1Cr8YhbHiMhOHAujrruNu6+q2jBQ6aoRX2zYxfa9BwH4asueCscWrd1B+ybBzBiymIFhGKkgqrJQ1exUCVId8dbT3nPgUETb68y/fEiPVg349w+GJF0Gmw1lGEYqSCg3lOEw8dn5YdvDDeDLNuwKaDaUaQvDMILHlEUVeGPJhrj6f7Q8fGXYok5NkiGOYRhGYASqLERktIgsE5FiEZkU5nieiDzjHp8lIoVu+0gR+UREFrr/TwlSzkSRkO0NO/dF7f/kx+GXrJzUvUXc975oSGgtqvRgho1h1A4CUxYikg3cD5wB9AImiEivkG5XANtUtStwD3Cn274Z+JZbR+NyMqwe90ZXKez31NMWgUn/XRj1vEhOqFgHXO/Cv9+e3Ycvf3tGbCcahmFUkSAti8FAsaquUNUDwNPAuJA+44B/udvPAaeKiKjqZ6q6zm1fDOSLSF6AssbMS/PXMfiOt/iouKJLKdLiOG+Kj2Sm+xARcrPNi2gYRmoIcrRpB6zx7Je4bWH7qGopsANoFtLnPOAzVd0fkJxxMWfVVgDeWVox9YXXOvDqBG9M+9PV28Ne04LUhmFkOrHWs0iEcCNg6KN11D4i0hvHNTUq7A1ErgSuBOjYMbU+/KyQpdM/eGxu+fbhgKyJTOL60T05eEg565hQ/W8YRk0kSMuiBOjg2W8PrIvUR0RygEbAVne/PfACcJmqLg93A1V9SFWLVLWoRYv4g8SJUDb2LyzZUaF9/Y7wwe1YVEWshkUmGSDN6+dxz4X9qVvHluIYRm0gSMtiDtBNRDoDa4HxwEUhfabiBLBnAucDb6uqikhjnGp8N6jqRwHKGDdlaS5mrtgSsY/XsggiH1S6uHFMT3bvK023GIZhpIHAlIWqlorItcB0IBt4VFUXi8htwFxVnQo8AjwuIsU4FsV49/Rrga7AzSJys9s2SlUr58jOQA4fmSQVsRxpIqTbsLhy+FFplsAwjHQRpGWBqr4CvBLSdotnex9wQZjzfgP8JkjZEiWWwd9rTew9ED4DrZeiTk1jundZIPyP3z4mpv6GYRjJwuZexkkshsKslVuZ686amlcSfgaUl8GdY1MW5TLUHM+WYRjVhFqvLFSVFz4rYc+ByL74xet2lOd1inWgfu+LTQDkZtX6t9gwjBpArR/J5n61jZ89M5/JUxeHPf75+p2M/fOH/PDxT9w1FrFpi7L4QtN6dZIjqGEYRhqp9cpi937HotiwM/yavy27DwDw5ucbuOBvM2O/sBtfKEji1NIyBWReKMMwUk2tVxZ+1Mmp+BbF6oZ6ab6zpOSD4vCZZhMi3dOhDMOotZiy8Bn8S7btid4hAis3fwPAzf9blND50aipq8INw8hcTFn4EFrgKBnj9E1jj07ovEjJCg3DMILGlEUayKpi3g6zKwzDSDWmLOJEkzBUZ5mBYBhGNcOUhct7X2zigy83VWj7bPW2Sv2S4YYKzVhrGIaR6Ziy8PDEx1+Vb6sq5zwwI5D7RKtfceOYnlHOczfMD2UYRooxZRGBSBbElm8OVPna0QyLaMn6zB4xDCNdmLLw4FUQkR7e315a9cS32VUOcJtpYRhGaqn1yqJD04Kw7UHWoUh0NlTT+k7qkHp5gSYLNgzDqEStH3Wa1z+Su2nnvoPl2x8mc+V1KAkaFj87rTsdmhQwpk+b5MpjGIbhQ623LLwL3T5esZV3l21k38FDfPcfc9IoVXjyc7O5ZGgnm01lGEbKMWUR8g7c8+aXlB5OjgsqlsJHhmEY1QFTFgFe+xfPzffvZBiGUQ2o9coiNNisqny9Y29Srv3ygvVJuY5hGEa6CVRZiMhoEVkmIsUiMinM8TwRecY9PktECt32ZiLyjojsFpH7gpWx4v6Ckh2c9sf3g7ylrZcwDKPaEdhsKBHJBu4HRgIlwBwRmaqqSzzdrgC2qWpXERkP3AlcCOwDbgb6uH+BUdWkfsliTN/WdGpWL91iGIZhhCXIqbODgWJVXQEgIk8D4wCvshgHTHa3nwPuExFR1W+AD0Wka4DyZRQPXDwo6vFzBrRLkSSGYRiVCdIN1Q5Y49kvcdvC9lHVUmAH0CzWG4jIlSIyV0Tmbtq0yf+EMKTDsoiWGyoSw7o2D0ASwzCM2AhSWYQbEUPnpMbSJyKq+pCqFqlqUYsWLeISrlyANHihElkmYQk+DMNIJ0EqixKgg2e/PbAuUh8RyQEaAVsDlKkS6bAsxvaLbwV2brYwvJtZFoZhpI8gYxZzgG4i0hlYC4wHLgrpMxW4HJgJnA+8rSkuMJ2O8HZeTnZM/R773mAAhndPzGoyDMNIFoEpC1UtFZFrgelANvCoqi4WkduAuao6FXgEeFxEinEsivFl54vIKqAhUEdEzgZGhcykSgrpngx1bpTAtSkJwzAyhUATCarqK8ArIW23eLb3ARdEOLcwSNnKSCTYnEx+f8Exab2/YRhGLNT6FdzpJtuSAhqGUQ0wZWEYhmH4YsoiTZhFYRhGdaLWFz9KF/NuGcnhw+GPXTK0I098vDq1AhmGYUTBLIsq0rl5YvmcGuTn0qggN+yx28f1YcUdY6oilmEYRlIxZVFFfnRy8tNXiYhVwzMMI6MwZVFFUryG0DAMIy2YsnA5McF0Gss3fZNkSQzDMDIPC3ADq6aMBaBw0rS4z92572CyxTEMw8g4zLKoIp2aFqRbBMMwjMAxZVFFLH+TYRi1AVMWVSQ0xXm4SUx/uyR6FTzDMIxMx5RFFQlVDk/9YCi92jQs32/dMJ+G+RYaMgyjemPKooqErodo27huhap2ipYXzaifl8PzVx+fOuEMwzCShCmLKtK8Xl6F/f2lh+jasn75viqIqy16tW3IoE5NUiqfYRhGMjBl4cNPTu3GfRcNoFm9OpWO3XBGz0opO5rXz2PKuX3553ePpVOzAm4/uw/92jeia8v6TDqjZ6rENgzDSCrmTA/Dqz89kTP+9AEAE0d2B+DMfm15deF6rn7y0/J+PzzpKADaN6lLyba9DOvanMYFjlIZ0aMl7/2iZXnfNyeelCrxDcMwko4pixDq5GRxtCdA7eX03q25ZGhHji1symFPmo9pPz6RrXsOJJxU0DAMI9MJVFmIyGjgTzg1uB9W1Skhx/OAx4BBwBbgQlVd5R67AbgCOAT8RFWnBykrwOJbT49akzsrS/jN2X0rtTcqiJxB1jAMoyYQmLIQkWzgfmAkUALMEZGpqrrE0+0KYJuqdhWR8cCdwIUi0gsYD/QG2gJvikh3VT0UlLwA9fKOvB3PXXUcyzftDvJ2hmEY1YYgA9yDgWJVXaGqB4CngXEhfcYB/3K3nwNOFRFx259W1f2quhIodq+XMooKm3LhsR1TeUvDMIyMJUhl0Q5Y49kvcdvC9lHVUmAH0CzGcw3DMIwUEaSyCOf9Dy3+EKlPLOciIleKyFwRmbtp06YERDQMwzBiIUhlUQJ08Oy3B9ZF6iMiOUAjYGuM56KqD6lqkaoWtWhhCf0MwzCCIkhlMQfoJiKdRaQOTsB6akifqcDl7vb5wNvqlJ6bCowXkTwR6Qx0A2YHKKthGIYRhcBmQ6lqqYhcC0zHmTr7qKouFpHbgLmqOhV4BHhcRIpxLIrx7rmLReRZYAlQCvwo6JlQhmEYRmSkptSQLioq0rlz56ZbDMMwjGqFiHyiqkV+/Sw3lGEYhuGLKQvDMAzDlxrjhhKRTcBXnqbmwOY0ieNHJssGmS1fJssGmS1fJssGmS1fJssGVZOvk6r6TietMcoiFBGZG4sfLh1ksmyQ2fJlsmyQ2fJlsmyQ2fJlsmyQGvnMDWUYhmH4YsrCMAzD8KUmK4uH0i1AFDJZNshs+TJZNshs+TJZNshs+TJZNkiBfDU2ZmEYhmEkj5psWRiGYRhJotooCxHJF5HZIjJfRBaLyK1ue2cRmSUiX4rIM24eKty8Us+ISLF7vNBzrRvc9mUicnoSZcwWkc9E5OUMlG2ViCwUkXkiMtdtayoib7jyvSEiTdx2EZE/u3IsEJGBnutc7vb/UkQuj3S/OGVrLCLPichSEflcRI7LINl6uO9Z2d9OEbkug+T7mft7WCQiT7m/k0z63v3UlW2xiFzntqXtvRORR0Vko4gs8rQlTR4RGeT+zordc6PU3oxJtgvc9+6wiBSF9A/7mYnIaLetWEQmedrDfi9iRlWrxR9O2vL67nYuMAsYCjwLjHfb/wZc7W5fA/zN3R4PPONu9wLmA3lAZ2A5kJ0kGScC/wZedvczSbZVQPOQtruASe72JOBOd3sM8Kr7ng8FZrntTYEV7v8m7naTJMj2L+D77nYdoHGmyBYiZzbwNdApE+TDqfGyEqjr+b59J1O+d0AfYBFQgJOH7k2cpKBpe++A4cBAYFEQvwOchKfHuee8CpxRRdmOBnoA7wJFnvawn5n7txzogvNbmg/08nw/Kn0vYpYvmT+mVP25X75PgSE4C1Fy3PbjgOnu9nTgOHc7x+0nwA3ADZ5rlferokztgbeAU4CX3XtlhGzutVZRWVksA9q4222AZe72g8CE0H7ABOBBT3uFfgnK1RBnwJNMky2MrKOAjzJFPo4UCWvqfo9eBk7PlO8dcAHwsGf/ZuD6dL93QCEVB+SkyOMeW+ppr9AvEdk87e9SUVmE/cy8n7e3H1HGo1j/qo0bCsrdPPOAjcAbOBp0uzpV9qBiRb1UV+G7F+eHcNjdb5ZBsoFTPOp1EflERK5021qp6npXjvVAy1D5QuQIQr4uwCbgH+K48B4WkXoZIlso44Gn3O20y6eqa4G7gdXAepzv0SdkzvduETBcRJqJSAHOk3oHMuC9CyFZ8rRzt4OS00u8skUbj2KiWikLVT2kqv1xnuIH45holbq5/6tUhS8eRORMYKOqfuJtzgTZPJygqgOBM4AficjwKH1TKV8Ojun9V1UdAHyD4wrIBNmO3NTx754F/MevawQ5gvjeNcGpV98ZaAvUw/l8I90npe+dqn4O3InzYPcajkukNMopaflsoxCvPKmUM+WyVStlUYaqbscxy4YCjcWpsgcVK+pVqQpfnJwAnCUiq4CncVxR92aIbACo6jr3/0bgBRxlu0FE2rhytMGx2CrIFyJHEPKVACWqOsvdfw5HeWSCbF7OAD5V1Q3ufibIdxqwUlU3qepB4L/A8WTW9+4RVR2oqsPde31JZrx3XpIlT4m7HZScXuKVbTORvxcxUW2UhYi0EJHG7nZdnB/K58A7OFX2wKm696K7nbIqfKp6g6q2V9VCHFfF26p6cSbIBiAi9USkQdk2ju99UYgcofJd5s4GGQrscM3z6cAoEWniPtWOctsSRlW/BtaISA+36VScoldply2ECRxxQZXJkW75VgNDRaTAnXVT9t5lxPcOQERauv87AufivIeZ8N55SYo87rFdIjLU/Twu81wr2UT6zMJWKHU/50jfi9hINEiU6j+gH/AZsABnoLvFbe/ivknFOC6CPLc9390vdo938VzrVzjxjmXEMVshRjlHcGQ2VEbI5sox3/1bDPzKbW+GE5T/0v3f1G0X4H5XjoVUDKx9z5W7GPhukuTrD8x1P9v/4cwwyQjZ3OsWAFuARp62jJAPuBVY6v4mHseZHZMR3zv3uh/gKLD5wKnpfu9wlNV64CDOU/gVyZQHKHI/i+XAfYRM3EhAtnPc7f3ABioGr8N+ZjixoS/cY78KGQcqfS9i/bMV3IZhGIYv1cYNZRiGYaQPUxaGYRiGL6YsDMMwDF9MWRiGYRi+mLIwDMMwfDFlYaQFEblH3Cyk7v50EXnYs/8HEZmY5HvuTub13Gv2F5Exnv3JIvJ/MZwnIvK2iDT0tJ0jIioiPQOQs1BELkr2dT3Xv1ZEvhvU9Y30Y8rCSBczcFYbIyJZQHOgt+f48cBHaZArXvrjzGuPlzHAfFXd6WmbAHyIs5Aq2RQCYZWFZ1VvVXgU+EkSrmNkKKYsjHTxEa6ywFESi3BWvzYRkTycvF+fiUh9EXlLRD4Vp07AOAARuVNErim7mPtE/3N3+xciMkecGgS3hrt5uD7u0/fnIvJ3cWoIvO5mC0BEjnX7zhSR34tTo6EOcBtwoTi1Li50L99LRN4VkRUiEmkAvRjPCloRqY+TNuYKPMpCREa41yqr9/GkuzoYERnjtn0oTu2EsjoqJ8mR+hufibN6fwpwotv2MxH5joj8R0RewkkwKZ7XtbDstbj3f09EnhWRL0RkiohcLE5tmYUichSAqu4BVonIYL8P3qimJGulpv3ZX7x/OGnTOwI/BK4Cbsd54j4BeN/tkwM0dLeb46w+FWAA8J7nWkvca43CqUcsOA9DLwPD3T673f9h++A8fZcC/d1+zwKXuNuLgOPd7Sm4aaRx6kfc55FjMo7VlOfKuwXIDfPavwIaePYvAR5xt2cAA93tETjZYdu7ss4EhuGsxl4DdHb7PcWRzAEv4SSOBKjvvocjyo575C7hyGrl83AS/mUDrXBSibRxz9vubucBa4Fb3XN+CtzrueavgJ+n+3tlf8H8mWVhpJMy6+J4nEFwpmd/httHgDtEZAFO8Zx2OCmlPwNaikhbETkG2Kaqq3EUwSic1DCfAj1x8uZ4idZnparOc7c/AQrFyUnWQFXLZPq3z+uapqr7VXUzTlK6VmH6NFXVXZ79CThJKHH/T/Acm62qJap6GJiHo9R6AitUdaXbx5u36iPgj65V01iPpKUO5Q1V3epuDwOeUiez8wbgPeBY99gcVV2vqvtxUki87rYvdGUpYyNO9lujBpIMX6VhJEpZ3KIvzpP7GuDnwE4cHzg47poWwCBVPShOZt9899hzOInRWnNkoBXgd6r6YJT7hu0jTpnR/Z6mQ0Bdwqd3jkboNcL9zkpFJEtVD4tIM5xMxX1ERHGe7lVEro9yvYgyqeoUEZmGY6V9LCKnRej6jWc72mv03v+wZ/8wFV9bPrA3ynWMaoxZFkY6+Qg4E9jqPtFuxSmpehyOlQFOGu2NrqI4GaekaRlP4/j3z8dRHOBkBP2eGwNARNqJm/nUQyx9ylHVbbjZRN0mbwB6F9AgnhftsgwnsRuu/I+paidVLVTVDjjVA4dFOX8p0EWO1NEui5cgIkep6kJVvRMnQWPPGOR8Hyf2ki0iLXDccvFmnu2Oo/SNGogpCyOdLMTx638c0rbDdeEAPAkUichcHCtjaVlHVV2MMwCu1SOVzl7HcRPNFJGFOEqkwiAZS58wXAE8JCIzcZ7Cd7jt7+AEtL0B7liYhhMPAMfl9ELI8eeJMHvJfQ17cWpqvyYiH+JkJC2T6To3UD0f50n/VZyMvqUiMl9Efhbmki+4feYDbwPXq5M+Ph5OwHEVGjUQyzprGDEgIvVVdbe7PQmnZvNPq3C9NjjWxMiqyiSoJlYAAACBSURBVOTOjrof+FJV70n0elVBRAYAE1X10nTc3wgesywMIzbGutbDIuBE4DdVuZhrCf1dPIvyEuAH4tSkX4zjrosWpwma5sDNaby/ETBmWRiGYRi+mGVhGIZh+GLKwjAMw/DFlIVhGIbhiykLwzAMwxdTFoZhGIYvpiwMwzAMX/4fr+kXhZQ+AdQAAAAASUVORK5CYII=\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "import synspec\n",
+ "\n",
+ "waverange = np.array([0.33, 1.1]) * u.micron\n",
+ "observation_preccd = synspec.from_R(photlam_hatp11, uniform_bp, R, waverange, force='taper')\n",
+ "observation_preccd.plot()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "### Plot the binned photometry (aka spectroscopy) on top of the source spectrum for comparison:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 49,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 49,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(photlam_hatp11.waveset, photlam_hatp11(photlam_hatp11.waveset), label='source spectrum')\n",
+ "plt.step(observation_preccd.binset, observation_preccd.binflux, color='orange',\n",
+ " label='observed spectrum', where='mid')\n",
+ "plt.xlim(3300, 11000)\n",
+ "plt.xlabel('Wavelength (Angstrom)')\n",
+ "plt.ylabel('Flux (PHOTLAM)')\n",
+ "plt.legend()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Zoom in on some spectral features to see the binning:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 50,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 50,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYsAAAEKCAYAAADjDHn2AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzsnWeYHMW1sN8zM5uTpFWOu0IJBSShTBBBgYwwwcjYBIMNXF9wwNjgACYYjK99ja8xBnMvYBsHEfwZZIPBiJyRBCLJBCGtQAiU42rz1vdjpmd7ZjpP9+zsqN/nkXZmurqquru6TtU5p06JUoqQkJCQkBArIt1dgZCQkJCQ/CcUFiEhISEhtoTCIiQkJCTEllBYhISEhITYEgqLkJCQkBBbQmEREhISEmJLKCxCQkJCQmwJhUVISEhIiC2hsAgJCQkJsSXW3RXwi759+6q6urrurkZISEhIj2LlypVblVL97NIVjLCoq6tjxYoV3V2NkJCQkB6FiKx3ki5UQ4WEhISE2BIKi5CQkJAQW0JhERISEhJiSygsQkJCQkJsCYVFSEhISIgtobAICQkJCbElFBYhISEhIbaEwiIkJCQkxJZQWISEhISE2BIKi5CQkJAQW0JhERISEhJiSygsQkJCQkJsCYVFSEhIiAOUUnR0Ksfpm9s6bNM0tcbTNLa089aGXby8dhtKGZfR2NIOQGt7Jxt27OPfn+4GYHtjK/et+JgNO/Yl07Z3dBp+Bvh4+z7WbN5LS3sHm3Y3O76egok6GxISEixb9rRQW1GMCOzY10Z5cZSiaIRoRADYta+NT3Y2ceCgKkSED7fsJSJCLCLct+JjFk0ZTEcnbNvbwiGj+joqc29LO3c8u5Zz54zg1XXbefHDbdSUFXHOnBFUlMSoKIl3Yf+z7ANuXvZ+8rwhvco4Y/pQpgzrxXl3L8/Id/6B/fnNF6fR1NpBTXlR8ve2jk5+8fj73Pb0hynpzz+0nrteWAfA4aP78twHW5k3rj+9K4r56WkHEY0ISikuu+8N/vb6JynnDu9Tzu1fmsaYAZXEohGuWfoOv3uxIXn8iDH9eOb9LcnvF80dSSwq3PpUvA5PfPsI5v33MwD0rSxh696WZNqasiJ2NbXZ3sebTp3EgJpSvqy7FxMGV/POxt2252qImRTzAxE5FvgfIAr8n1LqprTjJcAfgGnANuBMpVSDiHwR+I4u6UHAwUqpVWZllQ4arf77z//k6fc2c+4hdVzy59cZ2beCJ759BCKSTHf9P1Zz5/Pxhz5+UDW1lcX84IQDqe9bwZJXP+ZHS98B4MK5I3l/0x6OHNOPL80ekWgMsKe5ncX/+zL//nQ3sYhw95dnsKJhB//zxAcAnD17BPe8HI/4e94hdTS2tHP/yg3J8i84rJ5DR9UyvE857362hz+9/BG/OHMyP3/sfT4/fSjjBlYTiwq7m9v43YsN/PaZtUweWsOiKUM4a9Zwfvjg28wd04/SWISPtu9j3oEDGNq7jKJocJPE9z7bw4DqEnqVFxseb+/o5OMdTcmRz7iBVcSiEZRSNLV1UF4cf6G37W2hpChKZUk4RvGbzk5FJCKs39ZIRITNe5p59v2tXHB4PVUlMTbtbmHr3hY+3r6PCYNrGF5bnjz3wy172dvczuRhvQBoae9g7A8fBeBb88fw19c28MB/zGHmDU8Ylj1uYBW/XDyFY3/5nKs6v/L9eQyoLuW1j3bwjzc+5YcnHEgk0vWufnPJ6zy4aqNlHut+cjx/fOUjrnrwbVdl6/n7JYdxy5Mf8K0FY/jjy+v50ysfuTr/qhPHc/0/VlNRHKWx1Xw28fWjR3H2nDpm3LDMc12DYP1PT1yplJpuly4wYSEiUeB9YAGwAVgOfEEptVqX5mvAQUqpi0VkMfA5pdSZaflMAh5SSo20Kq9k0Gg16NxfZvx+ypTBNLd1cvkxY5j/i2ezvq585UcnjWdo73IWjB/gKP237l2VHAGdNHkw3ztuHIN7lbFlTwuf7Wrmkr+8xmGj+lJZEuO3z65Nnvenr8zi0LRR4Sm3vsCqj3c6ruuLVx7NPS+vTxm9HTy8F699tJPrT5nI2bNHsHNfK5UlMWIBCsGezF9XbmDt1r3873PraG3vtD8hjTeuXpgcUU+97l/s2NfGmdOHcdNpk/jHm59y6V9e97vKhlx78oTkAA3g3euPpbQoyk8ffTdjdG/E3efN4Mu/y5w55CMDqkuYPLQX/1q9qburkkI+CIs5wDVKqWMS378HoJT6iS7NY4k0L4lIDPgM6Kd0lRKRG+OnqR9YlWcmLPY3lv9gPv2qSizTbN7dzMwbM0eJH9xwHBf8fgXP6qbERqz7yfG8/cluJg6pplPBAd9/JKs6mzFmQCV/+epsfv3UGob1Lmd7YyuXLRiTMvosZDo6FY2t7fzgb28zo643o/pV8ttn16aoLLKh4aYTOPeuV1Pyu27RBK5+6B2Ls4Ll6hPHc/5h9dRd+TAAk8ve49IBS6iMNBmmr67qw/feX8QbTWNzWc28wO7e7O0s45ZNizPuTfp5cy5625GwCFIfMAT4WPd9AzDLLI1Sql1EdgG1wFZdmjOBRUYFiMiFwIUAxQNH+VPrLPH6AP1ixg3LuPfC2cwaWZvye3NbB6fc+gLfnD/adMT23md7bAUFwOOrN3HhPSsBOHfOiOTvfl/7+5v2Mu3HqVP2Nzbs5I6zp1NWHKWto5NYRFLUjIXAe5/t4Zhfps6C//6GtTrGC81tHRmC52ePvud7OW647h+rOf+w+uT3SwcsYX61xcxBwaUDmvhKw49yULv8wvbeJEi/N07PSydIYWH0BqdPYyzTiMgsYJ9SylAhqZS6A7gD4jMLj/X0Fa8P0E/OvONlfnv2NI6ZMBCAtzbs4vTbX6SlvZPvPvAmu5vbDc9zqkr6+5ufJj///qWuHRlzce3PfbCVA69+lDd+tJDJ1/6LIb3K+ONXZhEVIRoVhvQq85x3d7O7uY2DrvmXL3k5EdwbPyzP+H1Pi3Hb8KM8L4MkLb/dHRWsbqpPOTa+bB3V0UbTMr1gdR3VZUVsbIwFOthzg9d7k3meM3tPkMJiAzBM930okD480tJsSKihaoDtuuOLgb84KeyAkk/4Vd213f4gvT5Au5eNoip+8tHpjq/tontW0nDTCQD8aOnbtCT02maCAuClD7c5yvutDcZCJZcv9uRr453qJzubOOrnTyd/v2zBGL4+b7QvZeSKrXtbeGjVxhQvFydYtZnZlfYdwGfv3wh801WZZvg1UJg6vJfh76ub6lm8NsU/hiUjr3R0nQA/P2Myl9//hm06u+sYXx3/62TAs3jGMJYs/9g2nRVWz3h8WdxRx+u96TrvREd1CVJYLAdGi0g98Anxjv+stDRLgXOBl4DTgSc1e4WIRIAzgLlOCiuPNDG/ejnzq5fz8t6JKcf8Vv0YPcCSoigtbR2eH6CTl+3SAe0ZjfSosf146j1r1ZHZjCG9MW9x2Fk1bNtnedzq2seXrWPJyCszzvHrGf3i8fc5e/YIelcYe27lEx2dioU3P8OHWxo9ne+0g05/HzTB3fDZZ57KTScaEd8GCrv2tTlan2DFBzccxz+fXkr5Bzcmy5y9o5ZTjlasXL8DpZRpezO7jhl1fYjsegNp28XMitWmbfiePWfzzLa4L86l80ZnLSycPOO9nbmZTQcmLBI2iEuAx4i7zt6llHpHRK4DViillgJ3AveIyBriM4rFuizmAhuUUmvT87bDqEM2EiJ2mDUo0weosyu7fYBeX7a7vzwzaQw0w2wd0ayRfVIa86vrthsn9AHtflRHG00FptkzcitIpl7/OMsuO4JR/Su9Vzhg2js6mfCjx5IzPi9YtRmA2WPqOPmZo3mzaUzK725G5E6I6mxG2c4Amto6aOvwfk+0+kzZdQvD9e/o5nhnN6siNa3ZDCH9OhouPAH19Emw8R/2bbgm3ob7vdybJSN3AMGo4bR8f7XpC67y9EqgDu9KqUeAR9J+u1r3uZn47MHo3KeB2Y4Lqx7HW6ofjY07Un7WP1SvL0h6gzJ6gLNH1vLy2rgaJ5sHmO3Lls5Dqz4xPRaLdLmlDqop5dNdzldzGtG/uhRM3vNbNsXHAXYqE6vrdGPr+Omj7/K/59g6eHQbo37wT0fp3KohFk0ZzEOJtQkNF57Am49aDyT8IOrQO83JrLK1vZP2jvjo5pqTxkOaY1ZEzAc/yTQRoUjFZ2vaOzpb5/ChdqxC2nbZznTOmDY0ZY2UTLyKZe9uct6Gt8PstPFKehu2Uz+baSq0hYGLpgzmzYZM54c+iZm10T3X8nRL4ayOilVwa+fNPLo2dWpt9DCmj+jDivXmo+iq0iKGyftURxsNp5xGD7DhwhNYnDbC//NXZ3HW/76S1WVlw47GVt7csMv0uH4hX1lR1FXeRguQBteUQUJWz6zrw6sNXff4jaaxpp299oxmDyvm7U9S66ufVRVFhbYOZ34Mj6/exN0vrGN3UzvfmJ9fNoxf/Mu5x5FbNUS6J/x3jhnLzx7z18PpB8cfyA2P/Dv53U5YOJlVQrwjbe3o5MMtewHYZ6COGtW/kvc37TXN4+nLjwRIhsxY3VRP31NehP5VyTTq8SORLc9Y1hkMrqvvzIw2rLVJo37m4BG9eW39DlPNQG1FMdePfJCDxF6VmK6pWDhhIM99sJWIiSfgmCGDYeNrlvfcrfajcIQFoDKcrYw7qTfPWchiC6+TaSN68x/yTeZXL8/qZtdWWK93cEJlSYzxg6phj/tzt+xtIWbxIhdFu46VFbsTFtPq+mS42ZYUxYXP1OG9+fOCWXQolVwJbIX2jBouzhS4+lmVnaDQr54HuPbvqxP16cXcMf3sLypH/OrJNY7TulVDDO8T93Caf2B/0zytXI3tRrp9KksY01rJEZP2sr0xbuOKRoSxJeajVaNZ5egBVXywaU9GR9ra3pmMhvD46k0cnNZD/eH8Wby0divfutfYWF3XN65n0reUfpWlKWmcOlprt6m+b4VpmlgkQltHR7INTx5awxuJAdryL8xn8VPLDDUD9188h+F9ytn599QZkBHaM546vBevfxS3Px4/cSD3vNTARUeMzAgvAoDFLEifpxsKS1g4dJ61aywnTx7MLY+bq00AKit786tNn7PMZ8yA7HXmZ0wfSnVZkSdhsXNfG7ubzePG6EdOJbGuWYYTN8gVRf/Js6Su5NZyK4lFIBpJaVzHTRzIP9/2blA1U2Fo9bll02Ja2ocaHj/nrld5/oqjGNo701U013S6CESnJ10N8V+nHcSPlr5DU2L0PXFINf+49HBufjweH2nC4BrT8gbVlIKJU5wjo/lmGCOAQfM2GkDpB2xDepXxyc4m/nnS4Sz+n+cyOtKW9k6e+2BrRh4j+1Vy25yDGVhTyuemDk0RFiltY9nPABjY8a5p9Z0vy4knvOAw404coDgWST4DN8yo6wNAWU0Z7DZWP6czRfcoaytL+Ne3jqCl3aRsg1lQthSUsHCK3SKuc+aMYPKw8znlVnNj1ClTBvNmk/VCqfRyBiZ0+m70iN9eOBYchty5fOEYfv6vrmBq2xtbTUfj35g3OkVY6FVSTjqMgdzJ7VzhrGLAbV+axnl3v8rTNp5b6ThVYQAsk/mmx2585N/85ovTXJUdBGf89qWM3/TCWURSoo6atYvPzxjGivXbuW9FXKdupo4wevpW4srWaK7T/X+0fR8bdzYRjQgdncp2tPr782cyfURvmts62Okg+J1+Vty/qoTjJg1KOW7YNjbH/0T1aTyu2dRuqdX9Ko6Zh6NJfyRGQq26ybkt0qgeZs9dz6QhNbz1ibk62ikFJSycjtmsVKwi8U5er6LRo+nivawaVkVV0GLd8aWPzNKD7mkjMyPSw2Ds2NdqOpI9bcQnVH5wKUtGxgVeTVkRu0a2UVYcpT4aV5NYeWaVibX7rBFWd8zMZmJlGNfXR+tozXjkrc949v0t3aqOUiruupmOV/dIq5m0dqjTKJGDF0Ub6abbiRouPCH5+b7H3uPXr62hqjTGHov1OxpHJO59RUmMfRYB9zROmTqE8n+bd1FGbUMvzJat2cevNn2Be0zOtxu0JVuTxY0usuhMtNm6lVDTcGQ/MKiHE2HhV3icwhIWjtVQ5jfv/EPrLfP6/IxhcWHhtnLAyqr/5MMte7PSI1q1jWjawe2NrXSYXEi/9T+jbOe/Ur010tQKrzaOT5nKxiLCH+uuYHbl244aqVOOnTCQ7x9/oOExK8M4uPMUO+euV5MLFbuDbY2thr8bjeZryosZ07+Sdz/bw6f7YobtQj8O0Dqm9MeSbei3a06ewA/+Znx/nTSBi+aOTAlEqVFiMCJPD9V91Nj+DNxdDSaTUaO2oRdmX1n2sHE9Y3Fjt92gTWvjVrcwvSPWp60qLeKqE8dzyxPOhJodRuM+J3LArze1oITFWbOGsezfm6itKDZ9McG6kWuHzF6ypIrAwxPYUjyFy9MatzaFd8L4snXcUnQZLb11o7JlP+P/6vZxy6bFRCOpHW5jS7tp3tGOuEeJ1kH1rihmR2Mr5SUx9rW0GwquC+eOhET05kGd72XaEHZ4W4B03KSBKSGzzTh92lAe0Lky6hlfto6BbRewaGSqIE73b1dKdVssqY26GeGwPmV8vD21rnq99dwx/fjDwpncdOcrPNeQqcOH1Hb8nWPGpR5MtNOAtyDI+O36Uyby7PtbeDwRWfW7x44zFBb9q0szfps9sjZFWMSiYjoomVHXm+UNmbM0Rzg0/k5JaL2s7ExG9asqjXH6tLj9bFZ9H653KNTsMHqXRYS7zpvO0lUbTcO5+9XcC0pYHD1uAA03ncBx//Ocd2GR1FNav2RWsxOI+0Eb/fbTNOegiIDthFw3EpoafSNl8R+bYX4iBEEDp6Sc1qGUsRqCrhdd66BOmDSIh9d+yuShNdx46iQW/+r5zGpEJDldLmVP5qhMU0PHqnDDiFpzbxONVVcv4KUPt2UIC/0Uv7pjOXUmPgXay3rJX17n1rMOdlU/v9i8u2uF/GULxph69Og5fdpQQ4NvOlWlxq+ynagY3b+SS44exTeWGG8VY9XOjY6cOGkQq3Ub6jhdgwGZo2T9OqB07r/4EH77zIf85J/mhmxTHBp/pyb+pt/D3uVFlBfH+GRnU8Z9VwreuuYY93VywOBeZaz+NHOzoqPHDeCFNeahesKZRRbYdfRWaDtz9dbtrpXO81ccRd/KTLfZYX0yR8/xuti80rqRUGlRNCUcwuzeH0NigVH6SG9A6xucwK2cMzIz3Edsd+osQLPRRCOS9KTJqKtIUk88rlZStnGExNQ6VgWTrjY63ZCnLj/S0jUxWTaScZcikqq3TrfnGPm3P/zmp9yaHnQmB2xvbOXZD7pGzcVRa1dlbUawaMoQvvvAm8mV3j884UCG9s7Ub2cMgDQVik3TikaE+Qc62wPFDH3RIsaqkcMc7IyXPkqPmdgN9WU5wevbbjRzWnrJoQysKeWh1zdywyP/ptTl+qRs+O/PT07GREvH6jl/YeZwXku43Op3/HNLQQqLuWP6JvenNSIi8OuzpnLJnzM3eLFTURw7YSDXLZrA56cP4/+eN77p/apKKImlNqIHLp5j3LidtGTdSKi+bwXrtnbFEmqY/zPY/ExKVjPr+/Dup7s5tPl2xsrzhi6O2ixAG5lr3lBWozno0hN/d9xY/mtl6mIv/dTaKU4EBYAYVOu0g4dy/8quWcM354/ml699kDxuZs/Y3tiaXOGaKw6+/vGU78dMcN5Bv/r9+Uy+Lt5JVJXGOHbioIw0pmpTx24f7jFSwQiS0c7fvGYhpTHrTnVazUeM2HIWk0Z2te2KZ/8LdpnPvrIZ9LlBr/05aGg80OGAmrgabUivMkOnhSCoKTMfoFpxxvRhfOeBN4HsVFIFKSy+e8w4zplTx6E3PWl4PO6eaHyu3b2MRIRz5tRZpzF4ItPr+rDHYM2D22dnlV5fbCwaoViZL/iZWV/LjtYSfvXBsQAUJQyOVmoDff7FOd7BLmLwzNJv81cPH8mupjbufqEh5fd0r5fokzdCWVF8FjTxKug7M6Bad6F3j502og+xp37GmqMVKxq224Zf0O8R/e5nXQtunLQdraM78aBB/EMXWj6Zh2R27qnHXR6TTMFVXWreySUHKx27GdTxCoP0Axu99s1Atdmd25icdNAgyoui9KksZqlPe40cM2EAj73jbRe9IAcFGgUpLKIRYXBNpgFNI+g25iZ/p15F5x1SF9/k3SK5Pq+IdKltjBb8rLngOFav3cabz70KdLkAWk399SM5N7poL3xx1nBiEUnul2HcL6X+WlES40cnTUgKC9M1GntIXeR45N/9q7gBSqlU99iEejlGauwgJ+6TpoMck8ehpT9wUHVSWOizyOYpaufqZ+NuO3BNjThtcBEtbR00bOuaWcyqr43n51K1mVHPLKWKYdsTYf74ARkRndM7bSf+BeMHVbP60930rSyhOBbxtE2uUz+GbF7bghQWYN1AROwNf9lMcf10K3WTd8rMImI+e0qmR/+Sd9ks3NZj/oEDOHPGMIvU7vn+8Qfy/17TBXGTzBfRRmNmukajrm9FfIVv2y5o97A03iX3r9jAcJ17bNWg6ck7v/KjHbS1d9Kvd19+telk27z0e6w7aWbaPTNLK+LeiJ2Ovsm4bfmaWvPZM47i6fc3c/XyrsiBdmrNfNgh0a4GTkb8i2cO4+qH3rF8t79zjHW02i/MHM49L6+39azM5p4VrLCwIuhGZpZ9+gI7gENH9WXZvzOnnlUlMX78ucxw3U5qLsQ7fSu3SRExbMhWsaRSz+/6fMPnJjLAwBXSqEynVKTdK8FI+FnnZ7pGY22qrSdo/vn2p1yU+Ly6qZ7Z859OHvvajcvYtLuFr88bzZtNH8SFosX7rt8JcNKQmuQKbq9k8ypo1YxI5qDDDU9++wiG15a7Ptdp6iDf9vQqpwteJyP+pDe+RUXP1m1fbMTYgVV8eOPxttsV6IvoU1HMcRMHcqN9FYH9VFhY4kPLMmv0IpLhsTOzvrehsLj/P+YwbmC17tzUv4b56z7HopneQ2YcNqpvMl+nNotcYyTYsqnP3pZ2Q7t/EDz13hYuGmmdRrvtDnzjknxp9giueig1hneGXcdi5+LxZev4ScnXKXmmmiUjtyd/y0xpTbbtQvMocqsiyYOJha0Gwq0lwSw33y41kdHMuj7cd/EcgFBY2GE66g7YTmRW7vGTBjKwuox7l39EY2tHRiPUYipZhWfWvz3rt+1jW00Lo016RCG1Y9HKs/KGMhMkXhry8D7l/OkrsyzT6O9UWVHU10fTmCNhsd1ivY8e7f5LYmrhxDYhIozuX8kHm/dmtBerZ9JC3AOtOtrIpOgq2JK574JmP3E4z0z55LqDTJzuVn2bB7LCFieLIp2k8UsbIgjv//g4TzbH/VZY2JGrUYv2kpfGolx90nj+/ubGuLBIK1/vLmtGcnTqoO6pnY7uhTVoRBOHVDO7vpbzD61P7o2Q7e2ZOryX4boTI740e3hGgL1sWbe1ER+CAtuyabezDaWSM8e073Zod8TUwG3QdT9bfDEfb9pHZaSJipIYEwZXp+ySmM3mXV7eG+0dcD+zcK8y9YJXbzFwJjinJyLQHj2uP/dmuQ2rE6yCH1oRCossGFFbznqb/ajTMW08iUbntT8cX7aO+k8Wc8DIvVSXFdFxoKIu6mzxjVJdnZTRC1teFOOHJ443zyAgwWqXbU8YWTrdItRpR2mm9rC/V10pPolO4oaELWfy0BruPXIOi5+w33ckHSNdu2ThGuLaZuFjA9B2nsuW9DpVm6ys1zNxSA0f3ni8tQo424pp+WSRUaDO8iJyrIi8JyJrRCRjMwIRKRGRexPHXxGROt2xg0TkJRF5R0TeEhF7C2qOefjrh9umuerE8Xxx1nDbdG7UCCnoQoEMaH6Z2ZVvMz76OpOKVlEVic9GjFwy01/M9Eb02lUL+PVZU80rozdqemjKXtqs3TqLfOTWp5xtdORVzeB0tmXqlePDTdTn4MTT0KwK3amGCmol9qj+zkLfBO2KrpFNKYHNLEQkCtwKLAA2AMtFZKlSarUu2QXADqXUKBFZDPwUOFNEYsAfgbOVUm+ISC1dkYcCZZDF+ox0jLyb0knfOMVph+f4vdGFAhnZt5K1W+Mzi1hEaGrrYFtLCRuGfBsazLOIq6ESOvPEb30qipOrnP1qxtmqkazcEJ9KbKeZbzhdZOXEgcHouJ0ayrbcLM71G9f9pVM1lIMW7LWvzpm62qdy8nUF90xgjVJqLYCILAEWAXphsQi4JvH5AeDXEu+1FgJvKqXeAFBKmUfJ8pHPTR2SXJ09flA158wZwR9fXm+7QXy3ogsF8tOpk7ji1beYPbIP/apKeWfrLjbsaOL84fXAh5bZGLYhBy59To7nArOwIUsunI0AZ97xMgClRRGa29wvegqa7ENXGJ8/JjGyHdnX2ECTnets5hoObzaLON05s/B6/z1rBHogQaqhhgB6a82GxG+GaZRS7cAuoBYYAygReUxEXhOR7xoVICIXisgKEVmxZYu7HdjKizPl5MLxA5IG3khEuG7RROocRER1g/0ineRY0XXeSY8ahKhAe6f1gqyUmiRHtpJx3OhF8vJSpK70dZ+DM7fQVGaPrGWWbu+AR78x13W5uaDLddbdfTlwUNy9uqLEWI1y6sFD+Pslh3HsxIGGx+1Ks2qtXdH6s1NJJs91beD2L53dAs/uxq84WIN7OdhkyYQgb5HR1aW3PbM0MeAw4IuJv58TkXkZCZW6Qyk1XSk1vV+/zB3Q/nHpYaaVm39gf358Suait+4iY3GPp96462MksU+G05gxXYKmC7/2NO/Kz90ULYgJnZPFg92B1xH+z04/iPsumsOgmngnkPGCiTBpaGoUYf1zEMnGJK3lYfz5oiNsFpckT4r/cT+z8G8cb1S2M5dW36oQSH7pnDR5sOdzgxQWGwB9DIihQHrErWSahJ2iBtie+P0ZpdRWpdQ+4BHA9SYEpUVW++MKX5ptvSoyF/i5mlyfU0wTFsq8M0/tNCzyDaABW2U5JIvRj225OdQTOPWEAl3H57J+5cUxZtb3yczPsXeVd4zmwPrPw3o7c43uWmPirnxqRWxDAAAgAElEQVQ/n6VleKAc1cEK32wWWZwbpM1iOTBaROqBT4DFQPpOAkuBc4GXgNOBJ5VSSkQeA74rIuVAK3AEcHOAdQWMH0iuzRVZbMTXZaSWxA58Kj6vcLTuIuODdVyh9MVhfrH8B/MpK46rVNLVHH7MvoKM25XOlj0t9okS+KlSsSMlkKDYDBQc5JeuXvTqx9CdNgsrA3d3mSwXzxjGkizWXfzta4fw2a7UdT55GRtKKdUuIpcAjwFR4C6l1Dsich2wQim1FLgTuEdE1hCfUSxOnLtDRH5BXOAo4BGllLO9B/OcTL27MV4eqv6MiAidnSq+jaiZb37KS67lobNZGOikg6ZfVeamUf6OIFO/dyoV2PT6kbcyQ4Jn1MfBswmSIMNVuBWA3Rnuw+sgwsm78dTlR7J+WyPn3b3ccb6PfXMuYwdWZSUspg7v7flcIwJdlKeUeoS4Ckn/29W6z83AGSbn/pG4+2wWuG0A3efL4HfJsYjYG7j1aiiLGhjOLNJCPLimm251eqfQ3qFwuw3S46s3MaRXGeMHV1umq610v8GS3W3xXYgEqHN3P8PoPpuFparJ6lj6QYPnU9+3go7O7Dzw8sHjMFzB3c2Y+s17yEvz6BCJG7g7O52Zt/Ub4KS87A7LdRuawil2BsYsfQAAXLtFb29s5at/WAFAw03WIbQbW+Lb347sV0GVxQZA4CzyqCMcxSJK/e65SIOysp0RB4Gz8DcGBu4A6tLd5KvNotvpToOZW/zQx+tHWjHNZmFh4E49NxM/YjG9ec3CZN5es/NVVZchnN1VSh+ja/XG3Zazi8aWdgD+fslhfHS/P43L7ybqR35ZLyz1mN5PPC/KCyAlGPQHebCCI8+9i/OL0w4e6nuefjYBfQOL6NRQZm9h6joLyahP1+rgzPPT4wGZUV1aZDuqNsN2RYoH6ZN+LW6zOO22F5Of//m2tU2isaUdESgvdh5KItedgn71vhFO9zfJrg7B9tTOVnB7tFnk0DHBD7KpRygsXPC948dlnYdj1U6WnUY0YeCO52VXlnGaMQPiq38/N9W7b7aebOcpGatlfXgDnUTzNeOWJ63jPr3w4bb4zM5FPXO9Wt6snVWVxPjPow7glKnp62i7MA814u5JS9rf7sDadbz7e/o8qEKBq6G6uwIGTBpSw5Pvbk5+N98oKbtynBi47cob0qvMVC8vpl/M8TPEuFv6VBQb7i2xpzm4kGMr1+/wfG6u2q5IZlknTx7Mjz83kWqHM8LuUpH4Oyv3mpuz8/KxL3JLQQsLtzgZgWfLLV+Yyjsbd/P5376Ulnc8dz86VEEM96WwOwdyZ9Rz08H4MbJ76D8P5Y0NO5PfvUQZvefl9VnXwwy3thO/yjK6tQNrSh0LCmO86eeDGsE7CvfhVROWYVvwhwwnK9/y9Z5TqIZygR+NuaIkxsHDe+nyzDpLXV5dmUX1aygcNJBs6hHUFDldbmbToQ7rU86JB8XVaQ03ncDIfu53PrrqwbczfrMS7qP6V3L8pHhMJqe3yH7A4u/NdpPf/AMHpHw3v/TcCD5fox9YZOXLAC7LuuaDKqyghYX7zVS6/4FoZFuVaFQnLMzyStlW1R15dKs84bb6re2pfvJaePp9rR2m5zS3ddjOYJKr5H0SAlbBH42wW8Gt57YvGUfcMRuVO66DtkLfWTUCwcrA7TUUSKFR0MLCb+waxlOXH8ndX56RVZ7ZjGH0eaXOLGzO03UYXgZRTl+Y6rIu1YaTDiqf/Nx/9cQHKd9H1MbjHr2zcbfpOc1tHZR53FTHL3dUI7wOlIuiAXUXAfe4TrL37g0VjM0iMPVW6A1ljOsHZPCbmylofd8Kjhrb374cG1dUszRO0WJDmeWtkaq79mbjcHPujZ+bxLiBznYOSykrkf0hB/Q1/N0Lbs99b9OelO+f7GwC4Ow7XzFMv3lPM1v3tvLM++5C52v3Mle+APEFmf721p7X07ishr8GbvNjbvqAnj7jtqKghYXf5LIhZFtUqrCwzk1/NEhDa01ZEeen7RxoRfpLOqC61PNIPR39NW/e3WyaTqM9LYKsNspuaTcO4/DBpr0AbNgRFypm6qje5YndCB0+cD+aYIVuh8ds8usKNJmdR1/Q75UTYWg0s3BSrVx6rXU3obBwQSAuggEZ6fTC4sPNew3T6/virEbp3k91mL//JRTHupr+Cgcurk+9lzpDsKuRFp78v047CIDhfYzDdd/95Rlct2hCRgDFIDuHb84f7Wt+GarUXM0s/HQO8XpengjEXFDQwqInPCCzFy3buutHU+kqlMyyPGyA47V+WU5cUlRnWQgRvf798dXO9snWU2KxVwp0zTi0cCBmRuBBNWXJrXwd4UObLi+OcdHc+MZE+fCO5EEVXLuaB09qffLB+aaghYVbbJ+HT89Ln42pIdNDYV4jwYq+Hl4M3B7ui6v6BfyeDO3tfrOlz08bZnm8vSN+IwMzCmdJcu+TLPJQXa5XaXl7yy+oxX2O1EkB1zkfYjtlS3625DwliE4rqEak18EqBSt+OJ9Xv5+xM62uHu7IRdO3U2f49TzsOvSOtNC0p08byoWJLUOrSo3XtbYnQlLHot3TSTgNG+LHiDVbNZTXOvirhjLPzOpy8mDA74rQG8oEtx1xdz74LtdV5yE6zPJI/xyJQN/KEvqn7T+dvmNa+m+Oyw1YdASZu4jQ1Ga+VgJg297UHe8EKIlFufToUTS2tCdjcOlp02YWEW+vmNk1O73Xfu+f7gWneUvGh9zjlxaqh8kOV4ThPlwQpK+zb3sMGJxv18HE4wPlXzM38sxKMcr7UIZI5oK7dDbtNt4etaasiE4Fe5rbqSlPDY+heU/lembh1OalHe5pI2M9bhYe2hH0drt+Ge8nDK6mtjJzN0mN6lLjPdn9IBQWLgjCyBRUG9U3ftN1Fvqd8lw3Zvv8Dcv0MHcJ8j2OiCQ9l8zYsjd9H+P4X83tdWdTa4awaEvMNvwWFv7fC28uo2Aewt7tM85XgeXkfc913R/++uGWx9+85hjL4zmJDSUivUVkgoiMFBFH54nIsSLynoisEZErDY6XiMi9ieOviEhd4vc6EWkSkVWJf7c7rWdq/l7Oyi2Z8Y8SZGs0TlFJGWd26Ki+zKjrzZXHdYVe787IsE743Zdn+ppfe0cnf3hpvWWa9JAe2xvjkWp7JQTEzn2ZkWs7tJmFRzVUEPz8jMn89xmTAb3Nwnt+hyYWSc6oMx7Jduciu5R8A+wI8sFLKVdYzixEpAb4T+ALQDGwBSgFBojIy8BvlFJPmZwbBW4FFgAbgOUislQptVqX7AJgh1JqlIgsBn4KnJk49qFSaor3S/OfYHXn6WV5L01EUmcWJukqSmLcf/EhADzz/lZ3ZXitW5Z3cc4BtVmd74XmttSZx4Yd+wAoS2xqZBQfqt3jzKLLZmV8nms7gI7Tp2Vu3pXN0zhsdF/evf5Y/vn2p/zl1Y+Sv4+orQDIWDtihtc2kY/9dCELD7thzwPAx8DhSqmxSqnDlFLTlVLDgJuARSJygcm5M4E1Sqm1SqlWYAmwKC3NIuD3urLmScB3227fZCv8qlkuGpQT91yj9J4M3AGpocwmORcdkds1Ai3txgbw8uL4WKuprT3jWLYG7lyR7T0sLYpmdPYXH3EAd395BkePG2Bylllduq+j9e46GwzBzbK8n2s5s1BKLbA4thJYaXH6EOKCRmMDMMssjVKqXUR2AdrQsV5EXgd2Az9USj2XXoCIXAhcCDB8+HCrS3GE0QgnV0qZDAO3n95Qeah7dRNIML0Tqa0o9r9CFrS0Gds0yi1mFrc8GQ886HZmYRuaxea4U2EcpENDNCKOYqQl65Lng3Erzez+tILbTg1lHJM4gVLqNavTjU5xmOZTYLhSapuITAMeFJEJSqmUEJ9KqTuAOwCmT58eeL+eS4+hbEoScKSGyqa8FMHk4uyucNT25yQ9eyzS/PqsqdT3rXBcfjoDq0tN10po/OGlhpTvWoetxakyEhbab073sO4uU1E+ecF1Z020+z97ZB9eXrvdcz75czf9x84bagXwDnFbBaTeCwUcbXHuBkC/zHUosNEkzQYRiQE1wHYVV9y2QHwGIyIfAmMS9XGM39I8yNFBNiuodblk5ofTmUU8TdCd1slTBrNqw06+s3Cs85PSqq+vo7ahkVciEaHJYk8KgIZt+1K+a2v4tJmF1fmeF5x5OstF/j4YuNPzyjV+q61e+t7R9C4vZtxVjzqvg2P33fwQI9nUwk5YfBs4DWgibnP4m1LKOCpdJsuB0SJSD3wCLAbOSkuzFDgXeAk4HXhSKaVEpB9xodEhIiOB0cBah+UWBL42Lic2iyyKc3NuaVGUGz83yVFaO5WKH/coKvG9ylvbO1OCC1qWm7ihms3CagMkv3Fs4O5B6hE/BVc2DKpxH/YlqDrni3DRY/l2KKVuVkodBlxCfAbwhIjcJyK2XkpKqfbEeY8B/wbuU0q9IyLXicjJiWR3ArUisga4DNDca+cCb4rIG8QN3xcrpbzPDXsg2TaVoNRQx05IbBOag7bcpYYKrjAtgNy+1kwjtRma+qm0KIIINLk4N1+Q5N/865RC8hNHi/KUUutE5CGgDDibuEpolYPzHgEeSfvtat3nZuAMg/P+CvzVSd2s8Fs656SDzOJcMwO3o3praigv5Xo4x1X+6WooH/PWdhTc19pBL+Mo4gAcOqqWF9ZsS1RIq5dQVhTNmFl4Wavi2DDt983OA1nhxo6Vel5usIwN5TCPPLjNQHZ9ouXMIrEA7/si8gpwLfAGME4pdZ/nEkMcka1aSP/iObJZuC0jxT4S7KtglrvZ70N6OVcnaJ6tZqokLe7T9BHGC8/Ki6M0pp3barMiPC/wIeqsX+ShxgVwOsgKvBp5g52Sdg3weeBR4naF4cDXROQyEbks6Mpli/+DsFx6Q2VXlt4Jx9E6i0SafFrB7bUuL1xp5XeRiiZIzYzUjQkVU2WJ8SS8vDiWoYbSFvF9T7cy3i/s2kWuIr4GgV/xk7zg1w6RZnXKl9Xs2WCnhrqOrllYZdqx/OlVckQevVeG6Kvn2hsqmxXjns+0xq+NoKyI2tgsGlviQqTCVFhkqqFa2qzPyQVOt9L149ZmK3Dy/LWypKfZfALzhlJKXWNaqMiMLMoNMUE5WVxggxcFQ3eO6szo2lsntTCzTXe8oAnS3c3GwmJvS/z3ihLdHtq6YVJZcTQjxLk2szDbd9sJpvc3F+7gLsvwazaa7aVNGlKTRdkeXZx7lqzICldDHxEZT9wF9gvALmB6EJXyC9/XWfibnXVZHgrTj/BS1VDObRZBh/tww9ThvQCYNqJ3yu+aysCPUZ02s7jonhWs/UlmKJg9zfEggdWlRXz/+HE8/NRDXFH2/2BZ/NW5oWo3nQpYFt8+lVgVDI5raEtttl7tTiyfWY51Bt7XoqSed9d53sevfqmhzOhpMxAjbIWFiIwgLhy+ALQDI4DpSqmGYKuWf+RCv+tXk00JIe4ovU8F+8jho/vx2lUL6GMS3sOPF1y7bIP9i4CuGUd1WYwRtRVcOmAJ04qWw+b48fHa5GFz1zk1zW3ApZTGnM8s8shU1H3kYRsE65lTepX9EgrBrd/wfq5duI8Xia+qXgKcrpT6QETW9TRBIeL9Zcz1S6yVl81mLCKpTdZZIEHNwu2tvKAwEhR+3COnaDOLqtIitu5tpTLSFD9QVAO9p/DB5r00trQzZVgv2LEK2nZRseslloz8hAM/rIaNiX0udth6mjvCt2CWVp1ajjttr8VlRGr2XZPgYEbusNB8HIy5xW5msYV4mI4BQD/gA3qQYdvvqV8Qz9tsdOylLP05+mCnjjrVHtSYk2G8/cjL5vjupsTMorQotbzeU2D+09z51zd5ct1mXv3yfHj6JNj4D2Idu5ld+TbsIf5Px95O96uE3eD25cyHx55cwZ1lbfLhWgoZuxXci4BJwGvAtSKyDugtIv7uQJMv2LS23Bh1ve/BrSd1nYWT9C7z78ah0oLx8VXkx08aFHhZuzWbRVnM8JrLiqNdbrcTr4LBJ7K9Yg4v751IY82h0P+I5L9lu2fwq01fyKo+ft31QhjpBs3M+ritbKKF4Xx/WpRna7NQSu0C7gLuEpH+xDcn+qWIDEvsa5G39IQXwszTx8soK+V6XXs3xU8I2tDnB2MHVmW1L4kbdje1EYvEV2ob3dL4orx2lFJI35lw5N95btUnfOOlVSw75QhG9e/yOP/KsoddlOyt8c4/sD+3Pf0hh4/u66yUPHhJtDpkuxbB72s5duIgVvxwPn0t9rwOzLaQN+KlC1fuGkqpzUqpW5RShwCvBlQn33F62+32Scjli+WlKL19JXUPbufeUE7Jv6bsDbvr2N3cRlVpfFZhdBvLi2N0Kmhp71q13ZJ0nXXvDWXnhmr3LKeN6EPDTSdw0NBe1vm4rllhY3bbrQTF/kY2vn0Ftc5iyYWzbV+wIEgfyfvmDWXy2TS9Zt/O/4mFr5QWdwUFNGJvczuVFvtdaEEF9SvAmxM767lZZ9G1ADG33Xg+CQ23dcmHppoxA8jR+pjuIBthkfeX76aCs0fmfm/nVFK9kbKKDUX6zMLBOXn/NINBgDOmDaV3ufGscl9rBxXF5sJCW6y3T7cwr7nNvbBwSj7aLPJlgNEtTXg/em/sXGeNo6fFb1GPuU2Sje9szlCJ//2PURNEuI9CEi4VJTEaW4xXcO9r7aAsMfswuuYybR9uXbiQptaEGsrh/hh6kp5eubq/efQcsw4bkkfXkk4hvF92Bu6VxHsxo6q3+l+d/Q8/Ddyp+eo+u5hZ5L1MDYByg5AdGvta2y1nFuUGW6s2t3cQiwixqHthkSs1VD4YtrMlH9pqAdxGx9gJiyOVUutzUpMg6AEPMn0mcdas4fzhpfXJMBTu8upCXBq43ZKP3hpeqSiJ0dZhvFvevtYOahNGTqNr1rZWTREWbR1JW4bfFHLn5Ke7eK7IXMFduNgNff6Wk1qEoDWza06awLvXH+tJWCRzktQXz5mBu+e4zvqNFn5cW1OhJ26zMO/4ywz24W5u66TEo7DIpxDxTsmbNpNFTx30FRSCkLcTFlldoogcKyLvicgaEbnS4HiJiNybOP6KiNSlHR8uIntF5HJP5fcoOR9vrpGI+GIYTVVD+e86W0j0TrhM79yXqVmN2ywSE3AT11no2vcC4iHKsw0iaO5U43dUgvx58vlTE+cUgjrPKXZqqCEi8iuzg0qpr5sdE5EocCuwANgALBeRpUqp1bpkFwA7lFKjRGQx8FPii/40bgb+aVNHW7J5nD01GmVENzNx4zrrlEJ6R8qT7q+ZO9zta21PqpoMzzWaWbR3BOIJ5SeF8Pz8fDe93o6etoI7G+yERRNxI7cXZgJrlFJrAURkCbAI0AuLRcA1ic8PAL8WEVFKKRE5BVgLNHosP4WfnX6Q5bL97iIoYaRvnM7CfSTUUDbVKYROJoUdq5jRdCpLRu5mxKoaeDfxSsSqUBN/SFNbh6WwKEnMIJrTFuWVuPSEctoKfA+WZ5Bfd8023F5bV0BJqKutMN3N0FFeHs8ruPfBAru7u00p9XuPeQ8BPtZ93wDMMkujlGoXkV1ArYg0AVcQn5V4UkFB6oM8Y3peRybBj7GHXt+dYrNwooZyWHwPVKkbE6uK/23bRU3bi8yuBHYn/iVQKJT6D4oSXk1Gt6gkEYa8RedN1dLuXljkGj8FQne3ieMmDuLWLx7cvZXwmXwUQnbCIhv3WKPLTW9WZmmuBW5WSu216uhE5ELgQoDhw4dbpLOrauHhej+LxN9CkQW2TLwq/rd9D40tHbz1yU7GDKiKh0RPhBqnbS9gPTPTbBMp4T7aO5JCJN/Jr1cjv2rjhHSha74Hd8+7tnTsos7OFpFiEfmyiPxcRH6W+OwkYMoGQD+cHwpsNEsjIjHie2dsJz4D+S8RaQC+CXxfRC4xqN8dSqnpSqnp/fr1c1ClfMa6m65KhJzQB6azQky/mKTv+W3ZHYmgf8x/ms2zHmXx2pt4Zvh9MP/pePhxQO90AMYvfHE0gkjXqm2A1vbOpHrKLblbZ5GTYnKDh2t56XtH+1N0WtltHYU73LJs0SJyIHEbw5HAR8Q79yOBdxJbrFqxHBgtIvUiUkx8O9alaWmWAucmPp8OPKniHK6UqlNK1QG/BG5USv3a8VVp9Xd7Qh4zrHc5AKdMGWyaRqeESu10HLXfQrpb7igzMXA72WRJRCiNRdNmFp0Ue1iQFy8zt51NPgkN1zaLYKqRFSvX7zD8PY9us2fs1FC/Bv5DKfW4/kcRmU/c0+kosxMTNohLgMeAKHCXUuodEbkOWKGUWgrcCdwjImuIzygWe78Uc7LRz+bu3fW3ObldpuF0BXc+dS5+kRQWaau4I7veYMnIKxm+pQKWlTJ5XxuRsnUZ55cWRQxmFtmpoczVGVll25WPP9nkBYV0LRr5qLaydZ1NFxQASqllInKLXeZKqUeAR9J+u1r3uRk4wyaPa+zKMcPPG/5/50z3La9ckCIgHXlDOaO7jZlBUFqc8GjSOvyE8VvadjG7clfccrcZekF82KNLA/GAgc1pBm63M4ueuBjPb7qze/R6+/OwTw8MO2EREZESpVSL/kcRKXVwbkGgNaKxA6usE+YZ+1MjzpbiaISIkLrjHdDespsV67czoraCQTWl7NzXxruf7aa4tIaDJyXHPJTEIpkG7oBsFn55MRVC1NlsBGyu61wI76Ndh/8H4K8icolSqgEgscr6V8A9gdbMTywe1IDqEtp7kFHKaSNPDffhpqX2nHvhFyLxnfCSaqiE8Xt3YyuLn3qcaydO4NxD6njrgy2c/eKrHHJALX+u7drOpSQWTW54BNm5zubcZuHjeH7KsOz2g/GqCehOlU0+rYAPGkthoZT6ccLu8KyIlBPvdvcCP1dK2aqhuhsnj/GlK+cFXg8/0LoQq/eiawOd1EbsZOFfPupIc0mZQeTZjs6EN1TarUm/VSVFEVra09RQWS7KM+uE/LNZ+P+86/tW+J5nvuP0ebgOUe6hLkHjZA/uXxNfWV2V+L4n8FrlkIhDS3BP60u91nd/NHBD3O6gD9kBOmFh00ZKYhFaO+IzC6Xi0Wt7zDoLH59ngTaNkAR2mx9dZvBb8rNS6hcB1Ml3sooN1UMNjyk75Tm4A04X5fXQ22FLeXGmsPjdiw0ArN2SGnEm/X6WxLoM3JrQCGoFt18dciEJfb8v5dw5I5jsUKVWQLfRFruZhd6qexHw2wDr4ju+jpq6+e1yK7S8+qzvT41fT1lxLGVrVICH34qvId22t8XolCQlsQi7muLhzTVDd76H+9DoyULDz4GLXlV77aKJjs9z3C/04PusYWezuFb7LCKn6L/vL+TbQNpp48xiO4z9kvKiKPvStlbd1xIXHuWJAHVmnZPeZtHqVVgk7U0978H59Y7kchZfWZrfzpz52AzctOh86zdt8dOIl4fPzhTR/Q/52fDyjfLiaMpudwB7E8Ijfde79PtZHO1yndX+ujVwO8V/YRLPb0B1yX7VTqpLi3j5e/O4bMEYwHtf4fQsr/f2sFF9vZ0YAPktXn0im5egp+roU6J9+HgNhdqhGHlDaR2/3SxN7zrbNbPIbqe8oO9zutB55fvzufWpNfzssfeCLTgAvN6rgTWlxKLxk71uFRD0c/rdl2fQ3pkfnZCdgfst4jMKAQ4QkTe1Q4BSSh0UcP3yhu7uJJ11+F2JrOIZGVGgMsAx8ZlFu2Uas0egV0Npf/PdwJ3MzyBD9/tKaDq07OvjqlwflB1+aB96lxfRq7yYdVt92XonhVg0Qr441tnNLE7MSS2CwofG+4cLZrLk1Y8ZWF2afWY5RH/pR461j8ibH2OX7qO8OJahhnKKfgV3q0c1lNbx5SzqrFVdvIa+6K5Nk7ql1ETZIrx+9ULWbN7L/F88w0iTtSZu65iPi/3sDNzrEzvWjQLeUko9lptq+Us2N37MgCquPskuwG7+oe9zTppsHqnWLT1VLWeHkeushnbNZgbYEl3U2ZYs1VB2dPcMN8SY/eG52IUo/w3wLaAWuF5ErspJrUIysJpyHzdxYMp3kVAN5Zby4ijtnSo5M9BjdytLYhE6OhXtHZ1J20W2Bu7gbRbB5p8L8nHgYlalnujllo6dGmouMFkp1ZEI9/EccH3w1fKHnvV8vLf833zxYDoVPL76Mx/rY0zPuqfOKSuOvwpNrR2uO3otaGBrRyetHQHbLHx+APrcPK/696UmIfmOXYtuVUp1ACil9hEOQAPE+tbq4z5lnClCNM1lp1A79aAoL46rjRoNjNzpI9j0DrtrH+6umYXbqLM5j4KaB3XIKL8HF25n43dts8jD99duZjEuzQNK84jqEd5QeXi/LbBurbNH1vLB5r3UlBU5ys3tCHR/Hx1qwsLIyK3S/qajzURa2juT4T687pSX6zabj52SU7oGUN4vwr/r7x6PsFxiJywOzEktAibIF+LuL8+gb4WTLcmNcWp8v/qk8Zx3aF1GnCI9+pFhAbfZQChPqKHs3Gch896WJIVFh25m4XGdhaez3GPUwWb7nnSX4Mku9ptv1QAK+72zExYfKZs1+CIidmm6myAf4FFj+/uSj90dLIpGOKBfpaWw0PDi/VXIjdwJFWkzi04XC6GSaqj2zuQ6C68zi1yTEso+r9/i/MZultOTZ3Aadi36KRG5VESG638UkWIROVpEfg+ca3ayiBwrIu+JyBoRudLgeImI3Js4/kpiYyVEZKaIrEr8e0NEPuf+0noGTve+Tqa3ODa8thyA6XW9C6Jx5pKyhLDQ3Gf1q7nHD6qOfzCLDaXNLNo6u1xn3dosEn/Dx5Zb/HpPOn3WQuVjO7CbWRwLnA/8RUTqgZ1AKfGdiP8F3KyUWmV0oohEgVuBBcAGYLmILFVKrdYluwDYoZQaJSKLgZ8CZwJvA9OVUu0iMgh4Q0T+rpSy1xHo0F5At26k3UhM4OUAACAASURBVIHTKlrJlAmDa3j2O0cxrE8Zm3ZbR0oNSaUiESxQM3A3JuJCnXdIHacePMTyXE0wtLR3eI46O6A6rsoc1qec1Z/uztmiLF9eje7aVrV7irXE7H7m4yI7t9gtymsGfgP8RkSKgL5Ak1Jqp4O8ZwJrlFJrAURkCbAI0AuLRcA1ic8PEN9kSRKeVxqleGwXaj8crmmzC68hyvdXkgbuRKTZxsQMY/KwGlsDql4NlVzB7VINdfS4AfzuyzPY1dTGN5YYjr98Jc81x47wM8xItndDaz8H9KvMvjJ5iuMWrZRqU0p96lBQAAwBPtZ935D4zTBNYtawi/gCQERkloi8A7wFXOx2VhGvdPzPfiQrkuyP15wNFcXGMwvtdz0Z26rGUmcWxbGIJw+dI8f2z3CBziU9YAKetwzrU87vz5/Jz8+Y3N1VCYwgrXCGrtxO0yilXlFKTQBmAN8TkYzgTCJyoYisEJEVW7ZsMcgot/F28gqXl7wf3qEUyktSDdxJYVHSJSzMVtEn1VBtcQN3NgvyunPAn23ZPbkN+VH3I8b0S2kvKfm7Dw6VdwQpLDYAw3TfhwIbzdKISAyoAbbrEyil/g00AhnbVyml7lBKTVdKTe/XLzNYXk+YaY8ZEJ+2Hjyit6P0TtUHhaAjzSXF0QixiCSFhCY0jF7+TNfZuKBp7ehM7L/tw2sV8ON7/N+bAHhhzdZgC8oBfrT1HtBVdDuOWrWIZETSE5EjbU5bDowWkXoRKQYWA0vT0iyly5vqdOBJpZRKnBNLlDMCGAs0OKmrni4Dt9szc8e0EX14/oqjOGPaUF/z3R8nU9kgIikbIO1NqqHs10sUp3lDBRVE0E9WNOwA4EOdK3Z3txm3gzs/OvjwNXGO0yHQfSJyhcQpE5FbgJ9YnZCwMVwCPAb8G7hPKfWOiFwnIicnkt0J1IrIGuAyQHOvPYy4B9Qq4G/A15RSrodA2ks8s76P21NzytDe5YHG/HFCOLLSwpRrMwsDNZSd62x7B60Jm0VPxOtM3I99JbqLnlvz3ON0p7xZxN1aXwSqgD8Bh9qdpJR6BHgk7berdZ+bgTMMzrsHuMdh3UypLInx2DfnMrxPebZZhewHlJdEk15QexNeUcYG7vTYUF3hPrK2WXg+s/vp7plJIZGPamSnrboNaALKiLuyrlNKZcZyzkPGDqxKLrgqBJx2Jm5nKvnXNHNPRXGMfZrNIvFXM3xbke46G0TE2SoTw+l+jUVwTafkqt0XgiB12gKXAw8R90yqBX4rIqcrpU4PrGYhWRGqodxTXqybWbS2UxyLUKRbL2GmpimKCiLQ0tblOus3//zm4Xywaa9v+eXn8/a4D7bPtQgxxqmwuEAptSLx+TNgkYicHVCdQixw+mIUwkgm11SUxNi8pxmIL86rNHODTP8uktxataW9kzKPQQStyhjau5yhvYNVp3rezyI/JY8rgl6k6FatlI/vr1NhsTk9PhTwjN+VCbHHsRrKbeN0X5WCo7w42rWCu6U9uSpXw+rea1urNrd10LvcWRh5I3K2stqgmOzXWWTXigpB6BQyToXFw8SblxC3WdQD7wETAqpXSLaE4T5cU1EcS7rONrd3UOpihhCfWXTQ3NbRI1xnC2F04KcX1n65cNcljoSFUmqS/ruIHAxcFEiNQnwhbPvuKSuOJsN9tHUoV/GdihNqqOa2TtcRZ/OF7t5W1W0+VrtHui47aDVUAbyPnlq1Uuo14sbukDylANpmzqkoiS/KU0rR1tFJkYmh2ujF19ss3MxIzAh8pBuAGqonkq+deD5Wy9HMQkQu032NAAcDmcGYQgLH8b4XHt+CfH15ckF5cYyOTkVLe2dcWKQt/bcafZbEook9uLNbZ5ErevJCup5IIbxWTm0WVbrP7cRtGH/1vzoh3c3+OLrU0O+W19auUtxmU8l89UuKEjYLl7YOM7qjc+m526oWQlec/zi1WVwbdEVC/CV8fdxTrm2A1NJOa0cn1cXOvZpKYhGaWjto61A9IupsPg4KuiM2VIhzLIWFiPwdi2eilDrZ7FhI9+J1lOd4x74CfFO10B77WjtY9XHmti12rrPbG5sAsppZdIXV95yFw3IKh56gOnUdUSEPL8puZvHznNQixAXBhCh36w2Sh205a7TQHjv3tVqmMzNw725qT37OlqBvr9Hz9hxI0ON5d547nfXbujbF7M7d+wpx8OM3dsJinVLqo5zUJMRXCrEzDxptZrF5j/v9y0uKouxubot/zmKdxf7Uac07cEBW5/txr3K213lOSgkWO2HxIHHPJ0Tkr0qp04Kv0v7B1SeOZ/KwGg9nBtPs8nHam2u0FdtmwsKqcyqJRZIL+kqzWGfRtXYg2OdhdCnd3QS89v3Z1Dv0CnOOXavWP4aRQVZkf+P8w+qZNsLLPhsO1VBuV3A7HKYV8shX27tCiw910RHGTd7o1uqDB2Y1s7AoI9/pbmGTz0QiwrcXjHGcPh9vpZ2wUCafQ/Kc0J3QPZrr7Jbd8ZnFoQf0TUthtc4iYvjZMwE/Pj+z92t07t4bKvtyc/meXDpvdM7KCgI7NdRkEdlNvG2VJT6T+K6UUtWB1i7EM25HeaEaqst1VlNDGe2/bYZ+NpFNuI9cGXkLYeTXdavCtpsLLN8GpVQPiIgW4gfd6YmSL2ihxbfujQuL9KizVuhnE9m5zsYJesSbj4/b7UxBSx3x4Vbl4e3IOwKNSyAix4rIeyKyRkSuNDheIiL3Jo6/IiJ1id8XiMhKEXkr8ffoIOvZk3Ac7sNzCfvvKC0aEcqKomzdG3edNRMWhq6zRf6ooWorigEY0rvMcx7dR3Ztx7WAVLlZk9Id5OM1BbZXo4hEgVuBBcAGYLmILFVKrdYluwDYoZQaJSKLie/zfSawFThJKbVRRCYCjwFDgqprIRK0WikP23IKXz96FANqSl2fV1ESZVtjfGbhZhOjFDVUFgbuo8f15/YvTWPegf095+GV7p5tzKjrzZdmD+ePLzvz1vdzFpbv7TkfCHJmMRNYo5Raq5RqBZYAi9LSLAJ+n/j8ADBPREQp9bpSamPi93eAUhEpCbCuBcf+3vgvWziWL84a4fq88uJYstMsTd/8yMZ11uizW0SEYycOtIhL5Q+nTo2PvUb3rwy0HDfEohF+fMok+4QJfA1Rnn0WBU+QLXII8LHu+wYyZwfJNEqpdmAX8T2+9ZwGvK6Ucr9Saj8mH6exPQG96il9ZmE1kk0RFj1gP4uTpgwGYFCvLnVXT9tWVbOzZdPUw/fEOYGpoTB+hunNyjKNiEwgrppaaFiAyIXAhQDDh6fv+lqYON5W1eQtuPPc6b7sEV2oaB5QRVHJGN1bjWT16yxKe8JOedq1dG8tsqIzRwsYu4N8dH0Pcgi0ARim+z4U2GiWRkRiQA2wPfF9KPA34Byl1IdGBSil7lBKTVdKTe/Xr5/P1c9Psh3FzTtwAIeMSl8/EKKhzSyMBKpVkD+/XGdzTU/uZ48cG3/nFyVmSSHBEuTMYjkwWkTqgU+AxcBZaWmWAucCLwGnA08qpZSI9CK+Z8b3lFIvBFjHkAROZVChh0fQOv0yA08oq1AcegHhZjvW7sLP55hUz+VY8IzsV0nDTSfkttD9mMBadcIGcQlxT6Z/A/cppd4RketERAttfidQKyJrgMsAzb32EmAUcJWIrEr8y717SB4SdGfdk0eafqDZHsqLM8dRnRY6cr3NItYDhMWw3uUAzBmZbiIMCTEmyJkFSqlHgEfSfrta97kZOMPgvB8DPw6ybj2VoI2J3e0+2d1otgerhXURo5lFT7BT6Bg9oIoXrjyawR7ciwuRvGv3eThoC1RYhPhPUG3aTzfEnow2QygzsDtoMwujFcM9Yd/tdIb08mnhnw9eSXpOmTKYo8aFioR8IxQWIQBMGBwP83X6tKHdXJPuRZtZFBt0/gcN7QXA8ZMGZRzLJix5vmA2uv71WVOJReyvz6+Bxi8XT/UnoxBfCYVFCADD+pSHxkK6jNNRg+nDARYGVSPVVE9DW7eQbnI58SBrb6N80+B4oQAeX+D0/OHQfkY+BfyrKi28sYbm1eTWz70QfP01o35VaZGr87Qm2RMFpsqz9SZd97J762FE4b3tITlBBF79/nw68kh4+UFx1JuhOg/fbdecPWcEnUpxzpw6V+dZeYnlO515FowwVzsleiEUFiGeMVqL0NPRbBVtHZ2uzuuJo+p0iqIRvnK49w0x87GDc0q+1T2/ahMnFBY9jAIbyOcdmldTq0thkWd9TU7pyW0y37axtYoSkA1fPbyeNzfsyiqPUFiEhOjQDNs9uQPMNfmmytG47YsHs7Wx1TJNZ54ZLbqq42+FfnDC+KzzCIVFD6O6LHxkQeLVsJhvHWV3kG/B744zcHFOJ6jO2YxTDx7CwvEDzeuT+JuP7Sn0huphHDW2P7d8Ie6HPqK2POflF/qI26vuuhBsFvszuXp8v/j8FI6daC4s8plwmNrDEBFOmjyYUf0rGVgdhmrwG6+d/v4sK/LZ3dMOP/bE8BOVpyo9CGcWPZYDB1XTO7Ffc4h/eH1J800Fk0uCMsrmgtOnDWNk3wrOmpUf++H4uVWs34Qzi5AQHaHNwj09WTU5sKaUJy8/srurkSSfY7SFM4uQEB1ebRb5+HLnii6j7H58E3zil2dOoaasiFge6vTCmUWIR/KvMfuBZ5tFgd4PJ2hhX2rK3IUJCcnklKlDOGXqkO6uhiGhsAgJ0eG1y9+fB9WLZwyno1OxeEZ+6P1DgiEUFiEhOhxE4jZkP5YVRCPiOp5USM8jtFmEhOjwqoYK11mEFDqBCgsROVZE3hORNSJypcHxEhG5N3H8FRGpS/xeKyJPicheEfl1kHUMCfGDUFaEFDqBCQsRiQK3AscB44EviEh6gJILgB1KqVHAzcBPE783A1cBlwdVvxBv9GAvSUd4X5QXSouQwibImcVMYI1Saq1SqhVYAixKS7MI+H3i8wPAPBERpVSjUup54kIjJCRnhCu4Q0KMCdLAPQT4WPd9AzDLLI1Sql1EdgG1wNYA67VfURuu8naFV/f2fLVZtLW1sWHDBpqbw3HX/k5paSlDhw6lqMibi3OQwsLo7UnXYjhJY16AyIXAhQDDh4due+ksu2wufSpKfM0zn1eY+oF2XW7Vbfl6OzZs2EBVVRV1dXWhqmw/RinFtm3b2LBhA/X19Z7yCFJYbACG6b4PBTaapNkgIjGgBtjutACl1B3AHQDTp08vdHW6a0b1rwog1/htzteRdLYEGXX2le/Py/nK3Obm5lBQhCAi1NbWsmXLFs95BGmzWA6MFpF6ESkGFgNL09IsBc5NfD4deFKpnhxppvDp7MERRp2gdfpuL89JXzygupTaSn9nek4IBUUIZN8OAptZJGwQlwCPAVHgLqXUOyJyHbBCKbUUuBO4R0TWEJ9RLNbOF5EGoBooFpFTgIVKqdVB1TfEGfm6K5pfhCu4Q7Lh6aefpri4mEMOOaS7q+I7ga7gVko9AjyS9tvVus/NwBkm59YFWbcQb3TZLAqzd9RWcLud3haqWi4faW9vJxbLz+ATTz/9NJWVlYbCIp/r7YRwBXeIK4b2LgMKN2ic56izPtejUGhsbOSEE05g8uTJTJw4kXvvvReAJ554gqlTpzJp0iTOP/98WlpaAKirq2Pr1rgz5IoVKzjyyCMBuOaaa7jwwgtZuHAh55xzDh0dHVx++eVMmjSJgw46iFtuuQWAlStXcsQRRzBt2jSOOeYYPv3004w63X///UycOJHJkyczd+5cAH73u9+xaNEijj32WMaOHcu1116bTP/HP/6RmTNnMmXKFC666CI6OjoAePTRRzn44IOZPHky8+bNo6Ghgdtvv52bb76ZKVOm8Nxzz3Heeedx2WWXcdRRR3HFFVdwzTXX8POf/zyZ98SJE2loaKChoYFx48bxla98hYkTJ/LFL36RZcuWceihhzJ69GheffVVn5+Me3qumAvpFq46cTxzx/Tj4OG9u7sqgeDVZtETZhbX/v0dVm/c7Wue4wdX86OTJpgef/TRRxk8eDAPP/wwALt27aK5uZnzzjuPJ554gjFjxnDOOedw22238c1vftOyrJUrV/L8889TVlbGbbfdxrp163j99deJxWJs376dtrY2Lr30Uh566CH69evHvffeyw9+8APuuuuulHyuu+46HnvsMYYMGcLOnTuTv7/66qu8/fbblJeXM2PGDE444QQqKiq49957eeGFFygqKuJrX/saf/rTnzjuuOP46le/yrPPPkt9fT3bt2+nT58+XHzxxVRWVnL55fH1xHfeeSfvv/8+y5YtIxqNcs0115he35o1a7j//vu54447mDFjBn/+8595/vnnWbp0KTfeeCMPPvig3eMIlFBYhLiitCjKMRN65h7CTtC6fNeus/kvK7qFSZMmcfnll3PFFVdw4okncvjhh/PGG29QX1/PmDFjADj33HO59dZbbYXFySefTFlZfGa7bNkyLr744qRap0+fPrz99tu8/fbbLFiwAICOjg4GDRqUkc+hhx7Keeedx+c//3lOPfXU5O8LFiygtrYWgFNPPZXnn3+eWCzGypUrmTFjBgBNTU3079+fl19+mblz5ybdUPv06WNa7zPOOINoNGp7r+rr65k0aRIAEyZMYN68eYgIkyZNoqGhwfb8oAmFRUiIjkIO92E1AwiKMWPGsHLlSh555BG+973vsXDhQk4++WTT9LFYjM7OToCMhYQVFRXJz0qpjHuulGLChAm89NJLlnW6/fbbeeWVV3j44YeZMmUKq1atAjKfoYiglOLcc8/lJz/5ScqxpUuXOn7m+nrrrw9Sr7GkpMtTLhKJJL9HIhHa29sdlRUkoc0iJERHoboEdxcbN26kvLycL33pS1x++eW89tprjBs3joaGBtasWQPAPffcwxFHHAHEbRYrV64E4K9//atpvgsXLuT2229PdqLbt29n7NixbNmyJSks2traeOeddzLO/fDDD5k1axbXXXcdffv25eOP44EmHn/8cbZv305TUxMPPvgghx56KPPmzeOBBx5g8+bNyXLWr1/PnDlzeOaZZ1i3bl3yd4Cqqir27NljWu+6ujpee+01AF577bXk+T2BUFiEhOgJhYWvvPXWW0nj8A033MAPf/hDSktLufvuuznjjDOYNGkSkUiEiy++GIAf/ehHfOMb3+Dwww+3VN185StfYfjw4Rx00EFMnjyZP//5zxQXF/PAAw9wxRVXMHnyZKZMmcKLL76Yce53vvMdJk2axMSJE5k7dy6TJ08G4LDDDuPss89mypQpnHbaaUyfPp3x48fz4x//mIULF/7/9s48yqrqysPfD1EJERHR2AomoAiK5aMYChBQhggoghNEcEgokY4abZFEE2Ivegnp1Q3EBgOVoMQBMUaCGCJqVBxaFEWhKmAJgopACJGOQzmAgLFk9x/nVHEpakSq3ivY31pv1bnnnnvu75567+4z3Ls3qVSK/v37s2XLFo499lhmzZrFJZdcQocOHRg+fDgAQ4YMYcGCBaUL3GUZOnQoRUVFZGdnM3PmzNKpuPqADpR34Lp06WL5+fnpluHUc15d/xEjZr1KhxOP4tHre9bo2FbjwiLuxknn14a0fWLNmjWcdtpp6ZaR8cyePZv8/Hzy8g7siAjlfR8kFZhZl6qO9ZGF4ySoD081OU468AVux0ngaxYHJ7m5ueTm5qZbRkbjIwvHSeADC8cpHzcWjrMHbi0cpzzcWDhOgpKRhZsMx9kTNxaOk+BAD+7kOPuKGwvHSVDyKLnbitpl48aNZGVlpVvGXvTp04e6fgR/9uzZvPde2bhwmYcbC8dxDggywSXGvlCZsSjxcJsJuLFwnAQlr6jWB19P9YWpU6eSlZVFVlYWd9xxR2l+cXExI0eOJJVKMWzYMLZv3w7AuHHjaN++PalUqtR76wcffMDQoUPJyckhJyeHl19+GdjbdXm3bt32cPHRp08fCgoK+Pzzzxk1ahQ5OTl07NiRRx99FAiOAUeMGEEqlWL48OHs2LGj3GsoT1Nubi7XXnstZ511Fm3btuXxxx8Hwg3+lltuIScnh1QqxV133VVaz5QpUzjjjDPo0KED48aNY/78+eTn53PFFVeQnZ3Njh07aNWqFRMnTqRXr148/PDDe4x2PvzwQ1q1agUEI3PRRRcxZMgQWrduTV5eHlOnTqVjx45079691AXJ/sLfs3CcBKVrFumVUTsU3AQfr9z/9TbLhs53lLuroKCA++67j9deew0zo1u3bvTu3ZtmzZrx1ltvcc8999CzZ09GjRrFb37zG0aNGsWCBQtYu3YtkkpdiI8ZM4axY8fSq1cvNm3axMCBA1mzZk3pOUpcl0+bNo158+YxYcIEtmzZwnvvvUfnzp259dZb6devH/feey+ffPIJXbt25ZxzzuGuu+6icePGFBYWUlhYSKdOnfa6hqKionI1QZhOW7x4Me+++y59+/Zl3bp1zJkzh6ZNm7J8+XK++OILevbsyYABA1i7di1/+tOfeO2112jcuHGpW/O8vDxuv/12unTZ/RJ1o0aNWLJkCRAcH1bEqlWrWLFiBTt37qRNmzZMnjyZFStWMHbsWObMmVOlJ9+a4MbCcRIUR4+gDQ7Et/M+XgnvL67TUy5ZsoSLL7641PPqJZdcwksvvcQFF1zAiSeeSM+ewaXKlVdeyfTp07npppto1KgRo0eP5vzzz2fw4MFAcEn+5pu7oyp/9tlnpQ77kq7LL730Uvr378+ECROYN28e3/teCMS5aNEiFi5cWBp4aOfOnWzatIkXX3yRG2+8EYBUKkUqldrrGo488shyNZWcr0GDBpxyyimcdNJJrF27lkWLFlFYWMj8+fOBEMPjnXfe4dlnn+Wqq66icePGQOVuzUt8TVVF3759adKkCU2aNKFp06YMGTIECK7hCwsLq1VHdalVYyHpXOBXhBjcd5vZpDL7DwfmAJ2Bj4DhZrYx7vs5cDXwFXCjmT1dm1odB3aPLEoiAtaEnm2ak33iUftZ0X6kWXad11uZ77nyXII3bNiQZcuW8dxzzzF37lzy8vJ4/vnn2bVrF0uXLi01CkmSLsBbtGhB8+bNKSws5A9/+EPpFJCZ8cgjj9CuXbsqdZSlIk0VXYOZMWPGDAYOHLjHvqeeeupruzUv67a9Lt2a15qxkHQI8GugP7AZWC5poZm9mSh2NfCxmbWRNAKYDAyX1B4YAZwOnAA8K6mtmWXOao9zQNLj5OaMH9ye4Tkn1vjYB0d3rwVF+5EKpopqk7PPPpvc3FzGjRuHmbFgwQIeeOABADZt2sTSpUs588wzeeihh+jVqxfbtm1j+/btDBo0iO7du9OmTRsguCTPy8vjlltuAWDlypVkZ5dvpEaMGMGUKVP49NNPS4MJDRw4kBkzZjBjxgwksWLFCjp27MjZZ5/Ngw8+SN++fVm1alW5vfGKNEEI0Tpy5Eg2bNjA+vXradeuHQMHDmTmzJn069ePQw89lLfffpsWLVowYMAAJk6cyOWXX77HNFR13JoXFBTQtWvX0tFKOqjNBe6uwDozW29m/wTmAheWKXMhcH9Mzwe+q2B6LwTmmtkXZrYBWBfrc5xaRRJX92rNEYf7DO3+oFOnTuTm5tK1a1e6devG6NGj6dixIwCnnXYa999/P6lUiqKiIq677jq2bt3K4MGDSaVS9O7dm2nTpgEwffp08vPzSaVStG/fvtJ5/GHDhjF37lwuvfTS0rzx48fz5ZdfkkqlyMrKYvz48QBcd911bNu2jVQqxZQpU+jade/bTEWaANq1a0fv3r0577zzuPPOO0unq9q3b0+nTp3Iysrimmuuobi4mHPPPZcLLriALl26kJ2dXTolVrJQXrLAXZabb76ZmTNn0qNHj9L45Omg1lyUSxoGnGtmo+P294FuZnZDosyqWGZz3H4X6AbcBrxqZr+L+fcAT5pZhWbVXZQ7zt64i/LaIzc3l8GDBzNs2LB0S6k2meqivLzJubKWqaIy1TkWST+UlC8p/4MPPtgHiY7jOE51qM2x9mYgOfHbEij75klJmc2SGgJNgaJqHouZzQJmQRhZ7DfljuM4VTB79ux0S6hTanNksRw4RVJrSYcRFqwXlimzEBgZ08OA5y3Miy0ERkg6XFJr4BRgWS1qdRzHcSqh1kYWZlYs6QbgacKjs/ea2WpJE4F8M1sI3AM8IGkdYUQxIh67WtI84E2gGLjen4RynH3DzPyNdKfSx5irg8fgdpwDmA0bNtCkSROaN2/uBuMgxsz46KOP2Lp1K61bt95jX3UXuP35QMc5gGnZsiWbN2/GHwBxGjVqRMuWLff5eDcWjnMAc+ihh+7Vk3ScfcG9zjqO4zhV4sbCcRzHqRI3Fo7jOE6VHDBPQ0n6APhrLZ7iGCB9jlm+Pq4/vbj+9FGftUPt6/+OmR1bVaEDxljUNpLyq/N4Wabi+tOL608f9Vk7ZI5+n4ZyHMdxqsSNheM4jlMlbiyqz6x0C/iauP704vrTR33WDhmi39csHMdxnCrxkYXjOI5TJQe1sZC0UdIbklZKyo952ZJeLcmT1LXMMTmSvoqRAEvyRkp6J35Glj1PpuiX1Cfmr5a0OJF/rqS3JK2TNC4T9UtqKukxSa9H/Vcl6smk9u8gaWnMf0zSkYnyP49t/JakgYn8TGr/cvVL6i+pIOYXSOqXqKdzzF8nabrqyGNhTds/7v+2pG2Sbk7k1Xn778N3JxX3rY77G8X8umt7MztoP8BG4JgyeYuA82J6EPBCYt8hwPPAn4FhMe9oYH382yymm2WafuAogsv3b8ftbyWu6V3gJOAw4HWgfQbqvxWYHNPHElzaH5aB7b8c6B3To4BfxHT72LaHA61jmx+Sge1fkf6OwAkxnQX8PXHMMuBMQoTLJ0v+f5mkP7H/EeBh4GZL4/e/hm3fECgEOsTt5sAhdd32B/XIogIMKLHoTdkzQt+/0DMPZQAACOFJREFUEb5s7yfyBgLPmFmRmX0MPAOcWxdCK6Ai/ZcDfzSzTQBmVnINXYF1ZrbezP4JzAUurEO9ZalIvwFNYs/pCIKxKCbz2r8d8GJMPwMMjekLgblm9oWZbQDWEdo+09q/XP1mtsLMSv4Xq4FGCsHJjgeONLOlFu5ec4CL6lp0goraH0kXEToTqxPlM6n9K9I+ACg0s9cBzOwjM/uqrtv+YDcWBiyKw+ofxrybgF9K+htwO/BzAEktgIuBO8vU0QL4W2J7c8yrC6qtH2gLNJP0Qiz/g5hfX/TnAacRjMcbwBgz20Xm6V8FXBDT32N3eOCKdNYX/UmGAivM7AuC1s2JfRmpX9I3gZ8BE8rUka72r0nbtwVM0tOS/iLppzG/Ttv+YHdR3tPM3pP0LeAZSWsJ4V3Hmtkjki4lRPM7B7gD+Fm06Mk6ypsjrKtHzGqivyHQGfgu8A1gqaRXqT/6BwIrgX7AybH8S2Se/lHAdEn/QQgP/M9YtiKd5XXYMlE/AJJOByYTertQf9p/AjDNzLZlyO+3JtobAr2AHGA78JykAuCzcuqtNe0HtbEoGVab2fuSFhCGpCOBMbHIw8DdMd0FmBu/aMcAgyQVE6x5n0S1LYEXals71Fj/ZuBDM/sc+FzSi0CHmJ/sPbZkz6m3WqOG+q8CJsXh9jpJG4BTybD2N7PbiTdSSW2B82Pxyto5Y9q/Ev1IagksAH5gZu/G7M1RcwmZqr8bMEzSFML63S5JO4EC0tD++/DdWWxmH8Z9fwY6Ab+jLtu+thdyMvUDfBNokki/QpjrXgP0ifnfBQrKOXY2ey5wbyAsrjaL6aMzTT9hCuc5QgehMWHImxW31xMWXUsW+E7PQP0zgdti+jjg7wSjnWntX/LgQAPCHPKouH06ey5wrycsrmZa+1ek/6iobWg5dS0HurN7kXVQpukvc+xt7F7grvP234e2bwb8Jf5uGwLPAufXddsfzCOL44AFcaTQEPi9mT0laRvwK0kNgZ3ADyupAzMrkvQLwj8NYKKZFdWi7hJqpN/M1kh6ivBUxS7gbjNbBSDpBuBpws3rXjNbvdfZ0qwf+AUwW9IbhB/Gz2x3TyuT2n+MpOtjmT8C9wGY2WpJ8whPpBUD15vZV1F/JrV/ufqBG4A2wHhJ42PeAAsPSlxH6EB9g3DDejID9ZeLmRWnof1r+t35WNJUwnfcgD+b2ROxXJ21vb/B7TiO41TJwf40lOM4jlMN3Fg4juM4VeLGwnEcx6kSNxaO4zhOlbixcBzHcarEjYWTFiRNk3RTYvtpSXcntv9H0o/38zm37c/6Yp3ZkgYltm9TwqNpJcdJ0vPa07PoxZJM0qm1oLOVpMv3d72J+m9QwhOwc+DhxsJJF68APQAkNSC8YHd6Yn8P4OU06Kop2QTvuDVlEPC6mSVdNlwGLAFG7A9hZWhFcCa5F/Gdlq/LvcCN+6EeJ0NxY+Gki5eJxoJgJFYBWyU1k3Q44Y3zFZKOkPRcdKD2hqQLASRNlvSjkspij/4nMX2LpOWSCiWVdRxHRWVi73uNpN8qxA1YJOkbcV9OLLtU0i8lrZJ0GDARGK4Ql2B4rL69gsPG9ZIquoFeATya0HME0BO4moSxUIhB8oKk+ZLWSnpQ8W0uSYNi3hKFWAaPx/zeUc9KSSskNQEmAWfFvLGSciU9LOkxgkM7Ja7rjZJriedfLGmepLclTZJ0haRlsdzJAGa2HdioMvFfnAOI2n4t3z/+qehD8On/beAa4FrCW9qDCDfNF2OZhgQ3zBBGH+sIb3B3JPjLKanrzVjXAELMYhE6Q48DZ8cy2+LfcssQet/FQHYsNw+4MqZXAT1iehKwKqZzgbyEjtsIo6bDo96PgEPLufa/El0+xO0rgXti+hWgU0z3AT4l+P1pACwlOJVrRPCW2jqWewh4PKYfIziqg+DOvWGs5/HE+XIJPoeOjttDCW6xDyG8YbwJOD4e90lMH05wszIhHjMGuCNR578DP0n398o/tfPxkYWTTkpGFz0IN8Glie1XYhkB/yWpkOATpwVwnJmtAL4l6QRJHYCPLcTqGBA/Kwj+dE4FTilz3srKbDCzlTFdALSSdBThxl6i6fdVXNcTFuJWfEiIfXJcOWWONrOtie3LCLEUiH8vS+xbZmabLbhkX0kwaqcC6y3ExoBgLEp4GZgaRzVHmVlxBTqfsd2uUXoBD5nZV2b2D2AxwcspwHIz22LBJfm7hABVEFzFt0rU9z5wQgXncuo5B7NvKCf9lKxbnEHouf8N+AnB9fK9scwVhMh4nc3sS0kbCb1qgPkEl+b/wu4brYD/NrO7KjlvuWUktQK+SGR9RfC5U9NQlWXrKO93ViypgZntktSc4Ho9S5IRevem3XELyquvQk1mNknSE4RR2quSzqmg6OeJdGXXmDz/rsT2Lva8tkbAjkrqceoxPrJw0snLwGCgKPZoiwjeTc8kjDIgRMt7PxqKvsB3EsfPJczvDyMYDggO4UbFNQAktVCIGZCkOmVKsRCBb6uk7jEruQC9FWhSk4uOvEUI5UnUP8fMvmNmrczsRIL33F6VHL8WOCkaOICS9RIknWxmb5jZZCCfMAqpSueLhLWXQyQdS5iWW1bDa2pLMPrOAYgbCyedvEGY13+1TN6ncQoH4EGgi0JQ+ysIN0kgeHIl3AD/bmZbYt4iwjTRUgUPtfMpc5OsTplyuBqYJWkpoRf+acz/X8KCdnKBuzo8we44HJcR4kQkeYQKnl6K17AD+BHwlKQlwD8Smm6KC9WvE3r6TxK8DRdLel3S2HKqXBDLvE6IM/9TM/u/GlwPhLWmZ2t4jFNPcK+zjlMNJB1hZttiehxwvJmNqeKwyuo7njCa6P91NcWno34NvGNm0/a1vq+DpI7Aj83s++k4v1P7+MjCcarH+XH0sAo4C/jPr1NZHAn9VomX8vaBf5W0ElhNmK6rbJ2mtjkGGF9lKafe4iMLx3Ecp0p8ZOE4juNUiRsLx3Ecp0rcWDiO4zhV4sbCcRzHqRI3Fo7jOE6VuLFwHMdxquT/Afb0gG2wVBZuAAAAAElFTkSuQmCC\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(photlam_hatp11.waveset, photlam_hatp11(photlam_hatp11.waveset), label='source spectrum')\n",
+ "plt.step(observation_preccd.binset, observation_preccd.binflux, color='orange',\n",
+ " label='observed spectrum', where='mid', lw=2.5)\n",
+ "plt.xlim(5830, 5970)\n",
+ "plt.xlabel('Wavelength (Angstrom)')\n",
+ "plt.ylabel('Flux (PHOTLAM)')\n",
+ "plt.legend()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 51,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 51,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(photlam_hatp11.waveset, photlam_hatp11(photlam_hatp11.waveset), label='source spectrum')\n",
+ "plt.step(observation_preccd.binset, observation_preccd.binflux, color='orange', label='observed spectrum',\n",
+ " where='mid', lw=2.5)\n",
+ "plt.xlim(8450, 8510)\n",
+ "plt.xlabel('Wavelength (Angstrom)')\n",
+ "plt.ylabel('Flux (PHOTLAM)')\n",
+ "plt.legend()"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 52,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 52,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(photlam_hatp11.waveset, photlam_hatp11(photlam_hatp11.waveset), label='source spectrum')\n",
+ "plt.step(observation_preccd.binset, observation_preccd.binflux, color='orange', label='observed spectrum',\n",
+ " where='mid', lw=2.5)\n",
+ "plt.xlim(3800, 4100)\n",
+ "plt.xlabel('Wavelength (Angstrom)')\n",
+ "plt.ylabel('Flux (PHOTLAM)')\n",
+ "plt.legend()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "## 5. Model the effect of the CCD's quantum efficiency on the spectrum"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "For this we use the values in the table found in section 3.5 on this page."
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 53,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "quantum_efficiency = SpectralElement.from_file('ccd_QE.csv', wave_unit=\"nm\")\n",
+ "quantum_efficiency = quantum_efficiency / 100 # convert percentages to decimals\n",
+ "\n",
+ "quantum_efficiency.plot(left=3300, right=11000)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "## 6. Combine the effects and \"observe\""
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Finally, we convolve the source spectrum with the CCD efficiency and use `synspec.from_R` to simulate the spectroscopic observation:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 58,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(3300, 11000)"
+ ]
+ },
+ "execution_count": 58,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "observation = synspec.from_R(photlam_hatp11, quantum_efficiency, R, waverange, force='taper')\n",
+ "plt.step(observation.binset, observation.binflux)\n",
+ "plt.xlim(3300, 11000)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 63,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "(0.05, 0.075)"
+ ]
+ },
+ "execution_count": 63,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "# zoom in to see binning\n",
+ "plt.step(observation.binset, observation.binflux)\n",
+ "plt.xlim(6300, 6700)\n",
+ "plt.ylim(0.05, 0.075)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "## 7. Compute the count rate and total counts"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "To get the expected count rate for a specific collecting area, use the countrate() method on the observation object: "
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 64,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "countrate = observation.countrate(area=aperture_area)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "How many counts can we expect in a 10s exposure?"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 65,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "HAT-P-11 counts in 10 s exposure:\n",
+ "2395321 cts\n"
+ ]
+ }
+ ],
+ "source": [
+ "counts_hatp11 = countrate * 10 * u.s\n",
+ "\n",
+ "print(\"HAT-P-11 counts in 10 s exposure:\")\n",
+ "print(int(counts_hatp11.value), \"cts\")"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "## 8. Estimate the signal to noise ratio"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "To estimate the signal to noise ratio of this observation, input the total counts into `synphot`'s `howell_snr` function:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 66,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "SNR of HAT-P-11 in 10 s exposure:\n"
+ ]
+ },
+ {
+ "data": {
+ "text/latex": [
+ "$1547.6824 \\; \\mathrm{ct^{1/2}}$"
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 66,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "from synphot.observation import howell_snr\n",
+ "\n",
+ "print(\"SNR of HAT-P-11 in 10 s exposure:\")\n",
+ "howell_snr(counts_hatp11)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "You can also use `synphot` to calculate the exposure time needed to obtain a certain SNR:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 67,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "Exposure time needed to obtain SNR > 100:\n"
+ ]
+ },
+ {
+ "data": {
+ "text/latex": [
+ "$0.041748056 \\; \\mathrm{s}$"
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 67,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "from synphot.observation import exptime_from_howell_snr\n",
+ "\n",
+ "desired_snr = 100 * np.sqrt(1 * u.ct)\n",
+ "\n",
+ "print(\"Exposure time needed to obtain SNR > 100:\")\n",
+ "exptime_from_howell_snr(desired_snr, countrate)"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\n",
+ "## 9. Another example, this time with TRAPPIST-1"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {
+ "collapsed": true
+ },
+ "source": [
+ "(using the same instrument and telescope)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 68,
+ "metadata": {},
+ "outputs": [],
+ "source": [
+ "T_eff = 2600 # approx temperature of trappist-1 [K], Gillon 2017\n",
+ "\n",
+ "url = ('ftp://phoenix.astro.physik.uni-goettingen.de/v2.0/HiResFITS/'\n",
+ " 'PHOENIX-ACES-AGSS-COND-2011/Z-0.0/lte{T_eff:05d}-{log_g:1.2f}-0.0.PHOENIX-'\n",
+ " 'ACES-AGSS-COND-2011-HiRes.fits').format(T_eff=T_eff, log_g=4.5)\n",
+ "# Unit from PHOENIX model file:\n",
+ "flux = fits.getdata(url) * (u.erg / u.s / u.cm ** 2 / u.cm)\n",
+ "\n",
+ "wavelength_url = ('ftp://phoenix.astro.physik.uni-goettingen.de/v2.0/HiResFITS/'\n",
+ " 'WAVE_PHOENIX-ACES-AGSS-COND-2011.fits')\n",
+ "wavelengths = fits.getdata(wavelength_url) * u.Angstrom"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Unfortunately Gaia does not have all the parameters we need for TRAPPIST-1, so we use the values cited in Gillon 2017:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 69,
+ "metadata": {
+ "scrolled": true
+ },
+ "outputs": [],
+ "source": [
+ "photlam_trappist1 = SourceSpectrum(Empirical1D,\n",
+ " points=wavelengths, lookup_table=flux)\n",
+ "\n",
+ "# Scale the flux to get the value at Earth\n",
+ "stellar_radius = 0.117 * u.R_sun # radius of trappist-1 in solar units\n",
+ "distance = 12.1 * u.pc # distance to trappist-1 in parsecs\n",
+ "photlam_trappist1 = photlam_trappist1 * float(stellar_radius / distance) ** 2 / np.pi"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "\"Observe\": Bin the flux according to the spectral resolution, which this time we will define by a constant Δλ = 100 angstroms using `synspec`'s `from_wave_binwidth` function:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 70,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 70,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "wavebin_width = 100 * u.angstrom\n",
+ "observation_preccd = synspec.from_wave_binwidth(photlam_trappist1, uniform_bp,\n",
+ " wavebin_width, waverange=waverange,\n",
+ " force='taper')\n",
+ "\n",
+ "plt.plot(photlam_trappist1.waveset, photlam_trappist1(photlam_trappist1.waveset), label='source spectrum')\n",
+ "plt.step(observation_preccd.binset, observation_preccd.binflux, color='orange', label='observed spectrum')\n",
+ "plt.xlim(3300, 11000)\n",
+ "plt.xlabel('Wavelength (Angstrom)')\n",
+ "plt.ylabel('Flux (PHOTLAM)')\n",
+ "plt.legend()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "Zoom in to see how spectral features translate:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 71,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 71,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "plt.plot(photlam_trappist1.waveset, photlam_trappist1(photlam_trappist1.waveset), label='source spectrum')\n",
+ "plt.step(observation_preccd.binset, observation_preccd.binflux, color='orange', label='observed spectrum')\n",
+ "plt.xlim(7500, 9000)\n",
+ "plt.ylim(0, 0.0022)\n",
+ "plt.xlabel('Wavelength (Angstrom)')\n",
+ "plt.ylabel('Flux (PHOTLAM)')\n",
+ "plt.legend()"
+ ]
+ },
+ {
+ "cell_type": "markdown",
+ "metadata": {},
+ "source": [
+ "After hitting the CCD we get:"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 75,
+ "metadata": {},
+ "outputs": [
+ {
+ "data": {
+ "text/plain": [
+ "[]"
+ ]
+ },
+ "execution_count": 75,
+ "metadata": {},
+ "output_type": "execute_result"
+ },
+ {
+ "data": {
+ "image/png": "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\n",
+ "text/plain": [
+ ""
+ ]
+ },
+ "metadata": {
+ "needs_background": "light"
+ },
+ "output_type": "display_data"
+ }
+ ],
+ "source": [
+ "observation = synspec.from_wave_binwidth(photlam_trappist1, quantum_efficiency,\n",
+ " wavebin_width, waverange=waverange,\n",
+ " force='taper')\n",
+ "plt.step(observation.binset, observation.binflux, color='orange', lw=2)"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 76,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "TRAPPIST-1 counts, 10 s exposure:\n",
+ "10142 cts\n"
+ ]
+ }
+ ],
+ "source": [
+ "countrate = observation.countrate(area=aperture_area)\n",
+ "counts_trappist1 = countrate * 10 * u.s\n",
+ "\n",
+ "print(\"TRAPPIST-1 counts, 10 s exposure:\")\n",
+ "print(int(counts_trappist1.value), \"cts\")"
+ ]
+ },
+ {
+ "cell_type": "code",
+ "execution_count": 77,
+ "metadata": {},
+ "outputs": [
+ {
+ "name": "stdout",
+ "output_type": "stream",
+ "text": [
+ "SNR of TRAPPIST-1 in 10 s exposure:\n"
+ ]
+ },
+ {
+ "data": {
+ "text/latex": [
+ "$100.7099 \\; \\mathrm{ct^{1/2}}$"
+ ],
+ "text/plain": [
+ ""
+ ]
+ },
+ "execution_count": 77,
+ "metadata": {},
+ "output_type": "execute_result"
+ }
+ ],
+ "source": [
+ "print(\"SNR of TRAPPIST-1 in 10 s exposure:\")\n",
+ "howell_snr(counts_trappist1)"
+ ]
+ }
+ ],
+ "metadata": {
+ "anaconda-cloud": {},
+ "kernelspec": {
+ "display_name": "Python 3",
+ "language": "python",
+ "name": "python3"
+ },
+ "language_info": {
+ "codemirror_mode": {
+ "name": "ipython",
+ "version": 3
+ },
+ "file_extension": ".py",
+ "mimetype": "text/x-python",
+ "name": "python",
+ "nbconvert_exporter": "python",
+ "pygments_lexer": "ipython3",
+ "version": "3.7.1"
+ }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 1
+}