{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Fitting a mass model\n", "\n", "Since the sound crossing time in a galaxy cluster is much smaller than the cluster formation time, the gas in these systems is roughly in equilibrium between the gravitational force and the thermal pressure gradient. Therefore, the hydrostatic equilibrium equation can be used to get an estimate of the total gravitating mass profile,\n", "\n", "$$ \\frac{dP_{gas}}{dr} = - \\rho_{gas} \\frac{GM(" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "prof.Plot(model=mod, axes=[7., 15., 1e-4, 1e-3])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see that the background beyond 7 arcmin is reasonably flat and thus can be reliably subtracted to determine the source profile. \n", "\n", "Now we extract a new profile with logarithmic binning and subtract the background..." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Determining X-ray peak\n", "Coordinates of surface-brightness peak: 428.0 416.0\n", "Corresponding FK5 coordinates: 73.5456401039549 -3.0148262711063816\n" ] }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "p2 = pyproffit.Profile(datv, center_choice='peak', binsize=5, maxrad=4.5, binning='log')\n", "\n", "p2.SBprofile()\n", "\n", "p2.Backsub(fitter)\n", "\n", "p2.Plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Modeling the PSF ##\n", "\n", "To model the PSF we can either supply a function or an image. The function should take an array of radii (in arcmin) and return the 1D PSF profile. Here the provided function gives a good description of the on-axis XMM-Newton PSF. Again we refer to the _pyproffit_ documentation for more details on this part.\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "def fking(x):\n", " r0=0.0883981\n", " alpha=1.58918\n", " return np.power(1.+(x/r0)**2,-alpha)\n", "\n", "p2.PSF(psffunc=fking)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The final profile and the PSF mixing matrix can now be saved into an output FITS file to be reloaded later and avoid re-extracting the profiles," ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: VerifyWarning: Keyword name 'ROT_ANGLE' is greater than 8 characters or contains characters not allowed by the FITS standard; a HIERARCH card will be created. [astropy.io.fits.card]\n", "WARNING: VerifyWarning: Keyword name 'ELL_RATIO' is greater than 8 characters or contains characters not allowed by the FITS standard; a HIERARCH card will be created. [astropy.io.fits.card]\n", "WARNING: VerifyWarning: Card is too long, comment will be truncated. [astropy.io.fits.card]\n" ] } ], "source": [ "p2.Save(outfile='mhyd/test_sb_profile.fits')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Defining the model ##\n", "\n", "Now that we have extracted the surface brightness profile we can define the mass model and load the appropriate data into it. This is done through the [hydromass.Mhyd](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.mhyd.Mhyd) class. \n", "\n", "X-ray spectral fitting results (temperature, normalization, and metal abundance) can be loaded using the [hydromass.SpecData](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.tpdata.SpecData) class. The data can be passed either in the form a FITS table file including the definition of the radial binning and the spectral results, or directly as numpy arrays. An SZ pressure profile and its covariance matrix can be loaded in a similar way using the [hydromass.SZData](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.tpdata.SZData) class.\n", "\n", "Here we load the spectral results FITS file provided as part of the test data. We also compute a PSF mixing matrix that is appropriate for the radial binning of the spectral results, using the same PSF model as for the surface brightness." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Reading spectral data from file ../../test_data/spectral_results_MACS0451.fits\n" ] } ], "source": [ "z_m0451 = 0.5398 # Source redshift\n", "\n", "spec_data = hydromass.SpecData(redshift=z_m0451,\n", " spec_data='../../test_data/spectral_results_MACS0451.fits')\n", "\n", "spec_data.PSF(pixsize=2.5/60., \n", " psffunc=fking)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The constructor of the Mhyd class requires the following input:\n", "\n", "- profile=_prof_: a [pyproffit.Profile](https://pyproffit.readthedocs.io/en/latest/pyproffit.html#pyproffit.profextract.Profile) object including the SB profile\n", "- spec_data=_file_: a [hydromass.SpecData](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.tpdata.SpecData) object containing the X-ray spectroscopic temperature profile\n", "- sz_data=_file_: a [hydromass.SZData](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.tpdata.SZData) containing an SZ pressure profile and its covariance matrix\n", "- redshift=_z_: source redshift\n", "- cosmo=_cosmo_: adopted cosmology in astropy.cosmology format. If cosmo=None (default), use Planck15.\n", "- directory=_dir_: name of output file directory. If directory=None (default), a subdirectory with name 'mhyd' will be created.\n", "- f_abund='_angr_': abundance table definition for calculation of electron to proton ratio and mean molecular weight. Default='angr', also available are 'aspl' and 'grsa'\n", "\n", "Note that either spec_data or sz_data or both can be specified. In case both a spectroscopic temperature profile and an SZ pressure profile are provided the two datasets or fitted jointly. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "No output directory name provided, will output to subdirectory \"mhyd\" \n", "No cosmology provided, will default to Planck15\n", "Luminosity distance to the source: 3199.29 Mpc\n", "At the redshift of the source 1 arcmin is 392.511 kpc\n" ] } ], "source": [ "tmhyd = hydromass.Mhyd(sbprofile=p2, \n", " spec_data=spec_data,\n", " redshift=z_m0451)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's define a mass model. This is done with the [hydromass.Model](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.functions.Model) class, which accepts the following option:\n", "\n", "- massmod=_NFW_: mass model definition. Available models are 'NFW', 'EIN2', 'EIN3', 'BUR', 'ISO', and 'HER'.\n", "- delta=_val_: overdensity at which R_delta and c_delta are defined in the model (default=200).\n", "- start=_start_: an array containing the mean values of the Gaussian priors on the parameters. If None, default values for each model will be set.\n", "- sd=_sd_: an array contianing the sigma of the Gaussian priors on the parameters. If None, default values for each model will be set.\n", "- limits=_limits_: a 2D-array containing upper and lower limits for the parameter values. If None, default values for each model will be set.\n", "- fixed=_fix_: a boolean array describing if a parameter is fixed or fitted. For instance, for a model with 2 parameters for which we want to fix the first one, we pass fix=[True, False]. If fix=True, the value given in start is used. By default all parameters are fitted.\n", "\n", "To begin with, we fit an NFW model with broad Normal priors on concentration and overdensity radius. We also set the acceptable ranges of the model parameters, which here are very broad." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "start = [4., 2000.] # Central values of the Normal prior on concentration and overdensity radius (in kpc)\n", "\n", "sd = [3., 1000.] # Standard deviation of the Normal prior\n", "\n", "limits = np.array([[0.5, 10.],[300., 4000.]]) # Lower and upper boundaries on the model parameters\n", "\n", "model = hydromass.Model(massmod='NFW',\n", " start=start,\n", " sd=sd,\n", " limits=limits)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we have set the following priors\n", "\n", "$$ c_{200} \\sim \\mathcal{N}(4, 3) $$\n", "$$ R_{200} \\sim \\mathcal{N}(2000, 1000)$$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To determine the conversion between detector count rate and intrinsic emission measure, we need to simulate an absorbed APEC model spectrum with known emission measure and fold it through the response of the instrument. This is done through the [hydromass.Mhyd.emissivity](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.mhyd.Mhyd.emissivity), which uses a model spectrum to relate the normalization of the APEC model with the expected source count rate. An XSPEC command under the hood, so XSPEC must be accessible. If no temperature is provided, the mean spectral temperature of the loaded spectroscopic temperature profile is used.\n", "\n", "Since we are observing in a soft energy band (0.7-1.2 keV), the emissivity is a weak function of temperature and can be assumed to be constant across the radial range given the average cluster temperature of 8 keV. This is not necessarily the case for galaxy groups, for which the emissivity depends substantially on temperature and metallicity." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Mean cluster temperature: 8.161195 keV\n", "\n", "\t\tXSPEC version: 12.12.0\n", "\tBuild Date/Time: Fri Jan 14 18:24:26 2022\n", "\n", "XSPEC12>cosmo 67.74 0 0.69101\n", "XSPEC12>abund angr\n", " Solar Abundance Vector set to angr: Anders E. & Grevesse N. Geochimica et Cosmochimica Acta 53, 197 (1989)\n", "XSPEC12>model phabs(apec)\n", "\n", "Input parameter value, delta, min, bot, top, and max values for ...\n", " 1 0.001( 0.01) 0 0 100000 1e+06\n", "1:phabs:nH>0.0454\n", " 1 0.01( 0.01) 0.008 0.008 64 64\n", "2:apec:kT>8.16119\n", " 1 -0.001( 0.01) 0 0 5 5\n", "3:apec:Abundanc>0.3\n", " 0 -0.01( 0.01) -0.999 -0.999 10 10\n", "4:apec:Redshift>0.5398\n", " 1 0.01( 0.01) 0 0 1e+20 1e+24\n", "5:apec:norm>1.0\n", "Reading APEC data from 3.0.9\n", "\n", "\n", "========================================================================\n", "Model phabs<1>*apec<2> Source No.: 1 Active/Off\n", "Model Model Component Parameter Unit Value\n", " par comp\n", " 1 1 phabs nH 10^22 4.54000E-02 +/- 0.0 \n", " 2 2 apec kT keV 8.16119 +/- 0.0 \n", " 3 2 apec Abundanc 0.300000 frozen\n", " 4 2 apec Redshift 0.539800 frozen\n", " 5 2 apec norm 1.00000 +/- 0.0 \n", "________________________________________________________________________\n", "\n", "XSPEC12>fakeit none\n", "For fake spectrum #1 response file is needed: /Users/deckert/Documents/Work/devel/hydromass/test_data/m1.rsp\n", " ...and ancillary file: \n", " Use counting statistics in creating fake data? (y): \n", " Input optional fake file prefix: \n", " Fake data file name (m1.fak): \n", "10000, 1e time, correction norm, bkg exposure time (1.00000, 1.00000, 1.00000): \n", "\n", "No background will be applied to fake spectrum #1\n", "\n", "No ARF will be applied to fake spectrum #1 source #1\n", "\n", "1 spectrum in use\n", " \n", "\n", "Fit statistic : Chi-Squared 851.53 using 800 bins.\n", "\n", "***Warning: Chi-square may not be valid due to bins with zero variance\n", " in spectrum number: 1\n", "\n", "Test statistic : Chi-Squared 851.53 using 800 bins.\n", "\n", "***Warning: Chi-square may not be valid due to bins with zero variance\n", " in spectrum number(s): 1 \n", "\n", " Null hypothesis probability of 8.81e-02 with 797 degrees of freedom\n", " Current data and model not fit yet.\n", "XSPEC12>ign **-0.70\n", " 47 channels (1-47) ignored in spectrum # 1\n", "\n", "Fit statistic : Chi-Squared 799.19 using 753 bins.\n", "\n", "***Warning: Chi-square may not be valid due to bins with zero variance\n", " in spectrum number: 1\n", "\n", "Test statistic : Chi-Squared 799.19 using 753 bins.\n", "\n", "***Warning: Chi-square may not be valid due to bins with zero variance\n", " in spectrum number(s): 1 \n", "\n", " Null hypothesis probability of 1.04e-01 with 750 degrees of freedom\n", " Current data and model not fit yet.\n", "\n", "XSPEC12>ign 1.20-**\n", " 720 channels (81-800) ignored in spectrum # 1\n", "\n", "Fit statistic : Chi-Squared 32.64 using 33 bins.\n", "\n", "Test statistic : Chi-Squared 32.64 using 33 bins.\n", " Null hypothesis probability of 3.39e-01 with 30 degrees of freedom\n", " Current data and model not fit yet.\n", "\n", "XSPEC12>log sim.txt\n", "Logging to file:sim.txt\n", "XSPEC12>show rates\n", "\n", "Spectral Data File: m1.fak\n", " Assigned to Data Group 1 and Plot Group 1\n", "Net count rate (cts/s) for Spectrum:1 2.125e+01 +/- 4.610e-02\n", " Spectral data counts: 212515\n", " Model predicted rate: 21.2197\n", "XSPEC12>log none\n", "Log file closed\n", "logging switched off\n", "XSPEC12>quit\n", " XSPEC: quit\n", "Conversion between count rate and emission measure: 21.25\n" ] } ], "source": [ "nh_m0451 = 0.0454 # Galactic NH\n", "\n", "rsp = '/Users/deckert/Documents/Work/devel/hydromass/test_data/m1.rsp' # on-axis response file\n", "\n", "tmhyd.emissivity(nh=nh_m0451, rmf=rsp, elow=0.7, ehigh=1.2)\n", "\n", "print('Conversion between count rate and emission measure: ', tmhyd.ccf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Running the code ##\n", "\n", "We are now ready to run the reconstruction. This is done using the [run](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.mhyd.Mhyd.run) method of the [hydromass.Mhyd](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.mhyd.Mhyd) class, which includes a large number of options:\n", "\n", "- model=_model_: hydromass.Model object containing the definition of the mass model. \n", "- nmcmc=_1000_: number of output samples from PyMC3/NUTS run (default=1000).\n", "- tune=_500_: number of PyMC3/NUTS tuning steps (default=500). Increasing the _tune_ value leads to better convergence but slower runs.\n", "- nmore=_5_: fine grid definition for mass model calculation. The spec_data/sz_data grid will be split into 2*nmore bins inside which mass and pressure derivatives will be computed. Increasing nmore leads to greater precision in model pressure calculaton, but obviously slower runs. \n", "- p0_prior=_p0_prior_: array containing the mean and standard deviation of the Gaussian prior on P0. If None, the prior on P0 will be set automatically by fitting a gNFW profile.\n", "- dmonly=_False_: decide whether we want to fit the total mass or the DM mass only by subtracing the baryonic mass (default=False).\n", "- mstar=_mstar_: in case dmonly=True, input a stellar mass profile as a 2D array including R (in kpc) and M_star (in Msun) in the two columns. \n", "- fit_bkg=_False_: choose whether we want to fit the background on-the-fly and the counts using Poisson statistics, or if we use directly a background-subtracted brightness profile (default option), in which case Gaussian statistics is used. \n", "- bkglim=_bkglim_: in case fit_bkg=True, set the maximum detection radius beyond which it is assumed that the source is negligible with respect to the background. If bkglim=None it will be assumed that the source is important everywhere.\n", "- back=_back_: in case fit_bkg=True, give an input value for the background and set a narrow Gaussian prior centered on this value. If back=None the input value will be estimated as the mean value at r>bkglim.\n", "- samplefile=_file_: name of output file to save the final PyMC3/NUTS samples.\n", "\n", "Here we do a quick test run with standard parameters and a small number of tuning steps. The pressure at the outer boundary ($P_0$) is estimated on-the-fly by fitting a model to the pressure profile and extrapolating it to the outer boundary." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Single conversion factor provided, we will assume it is constant throughout the radial range\n", "Estimated value of P0: 0.000546325\n", "coefs -187.90419872441586\n", "cdelta_interval__ -1.0833801859728536\n", "rdelta_interval__ -0.9384616845706304\n", "logp0_interval__ -1.2303705795943691\n", "Running HMC...\n" ] }, { "data": { "text/html": [ "\n", "
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This is more likely to happen with a non-robust model and highly influential observations.\n", " warnings.warn(\n" ] } ], "source": [ "tmhyd.run(model=model, nmcmc=100, tune=100)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualizing the results ##\n", "\n", "The PyMC3 optimization run returns a trace object which can be visualized using the [Arviz](https://arviz-devs.github.io/arviz/) library. Here we use Arviz to check out the resulting chains and verify convergence\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([[,\n", " ],\n", " [,\n", " ],\n", " [,\n", " ]], dtype=object)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "import arviz as az\n", "\n", "az.plot_trace(tmhyd.trace, var_names=['rdelta', 'cdelta', 'logp0'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Clearly the four individual chains return very similar results and the chains look well converged, even with just 100 steps and 100 tuning steps. We can also have a look at the posterior distributions for the parameters of interest" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([,\n", " ], dtype=object)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "az.plot_posterior(tmhyd.trace, var_names=['rdelta', 'cdelta'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To check the quality of the fit, _hydromass_ runs posterior predictive checks, i.e. it generates random datasets from the model including the expected statistical uncertainties. The generated values can then be compared to the data. The posterior predictive samples can be accessed through the _Mhyd.ppc_sb_ and _Mhyd.ppc_kt_ attributes of the Mhyd class. In the following example we compare the posterior predictive surface brightness distribution to the data to determine whether the model does an appropriate job at describing the data" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/deckert/opt/anaconda3/lib/python3.9/site-packages/arviz/plots/hdiplot.py:157: FutureWarning: hdi currently interprets 2d data as (draw, shape) but this will change in a future release to (chain, draw) for coherence with other functions\n", " hdi_data = hdi(y, hdi_prob=hdi_prob, circular=circular, multimodal=False, **hdi_kwargs)\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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gAEjmELWCAqisTKxdeXnXxyPdj9cH3jynd6IjYtFGyVE99D4GfjRpaxWJBj6vs5WcB4MKMDUb8EXq8DWs3ho0zlqtNga94gukevzOmjxePzHjIxz1EYr6CYcjhEKVhMJQXwc1tVBXm01tXTZ1dX0JhbZ+n6+P+NhUlcPqckPZpghrK+rZUF3LpppqymsqqaqrIFS9hloqiLEeWIOlmjrWU8d61gNftf4HSJACcsmlkCz64mUAlh0IMyyeDO1MDQOBvoC/Y3/KIiIikiAlOOlu/PjEhsNMmJC8mCS9eLzOAqKBHOf92T+CAw6HadNg5sytFcImTIArr9x2Xkk0Eh8+V9do+FyN8z5UBbWbob4C6ivw1FcRjFUStNXgjUFOfFhdIfF65TEnFo8f6w0QsX7CUb9T3S5c4fQQxXuHamr91NUVxTeIRPbEGCcZ2lydy9oKHys3hVlTEWJDVS2bqhuSoUpqw5uoD29o1DO0mXo2Uc8mNgLL2vjjKgcKEvlzLciHjRudBFREREQSpiFqSZb0IgOa0Czpxtqt84vCNfHCDNXOvnYz1G6Eus1QV+5soer4hfFhdBZnwVMAbyDeO+QnFAsQjgYIRTxbhszV1TUaLlfvvK+P11CoD/vYXJPL+sogKzdFWFNez/qqOicZqq2iqq6CmtDmeDLk9AzBOqZjuZjWK8CFgOf7DOHDYw/g+IP7sO/ee5DVbyjkD3LmBWUXOXt/TtcVQxAREenmNAenm+hO6+CoJK1khFjM6SUKVcfnDcWTovpKJxmq3Qy1m6Buk5MQ2fjwuIZScTYWHyYXAF/A6R2KNUqEwhAOOYlPbXzOUG3t1mQoEoFQxEd5bS4bKrMJla3iV/OuIyvW8pygamAUsHTLES+5wSHs0LuYvYb24fCR2Xxvfz+7De2Hp7AYCgdDwRDI7QMNxRF8wa7+kxUREUkpJTjdREoSHHB6chIZMiSSyax1EqD6KmeIXH3l1kSoej3UbNw2ETKerZN9bCzeIxRwkgtfEDw+ojG2SYRCYfAu+Jy+0x+ESBRPo9rcUeMlYrz8pv+5PFpfwIbKb6iPfAZ8CWxfmc6YbAqzh7Fjv0HsO6yQo/fJ4th9ggwqCmKyCyG/GIp2gILBkN17azU4TyfLImiRUhER6QaU4HQTSV/oU0Tc12wiVAFVa6FqHdSsh5oNTrluY5wK3A3/1nr84MuCtdXw5Hx4+SOoDWGzA4SP3JeK4w+jPLcPGzc5dT/WbwqwdE0BH31bwxerNlG2uYxN1UsJRz8FypoNz+vpTe+8nRk+cCCjh+dx/L4ejtw7h/zsgJOUFQyCoqFQuCPkxctgZ/dKrOy1eoRFRKSLaaHPHiZlPTgiklzWOkUT6iuhzimUQO1mqF7rJEI1G5weIRsFPGCcxWG3JEC+LPAFieKlpgZqqqGyCjZtgs2bYfWGLD5fncWib6ooXbOeVeXfUlG7jGhsMVDRbEgB3xD6Fw5jt8H9OXi3PMbubzlot2z8Xq+TiOUNcBKfomGQ3x9y+8cTn3iPj+b0iYhIN6IenG5CCY6IbNHQE1RX7iQ/deVQudrZqtc6w+JsdOtQuIZhcL4sop4sakJBqmsMVZWwMZ74rFyXw8ffGhZ/W8nStWtZW7mCyrqvsPYzoLlqin5yAjszqPeOjBjal8NHZHPy/jFGDAlijHHmHxXuAL13hhsfgYefgnAr6xxpkVIREUkSJTjdhBIcEUmYtfEeoHKnMlzt5ngCtAqq1jjFEWioohYD4yPqyaYmnE11fZDKKrOlx2f4X27nJYbxJkV8jOEbKqjgG2wLha0NuRSxAztSwD7EOJyNXMiyrl3UVP89EhGRdlCC000owRER10Qj8cRnkzPcrXIVVKyEirLtk5/T/7n95Xj4hB15gR2YRwFLiLKSjVSzDFjXTHuU4IiISLfRUoKjFeRERHoqr88pEJDbd/tzTZOfT74Hm79xEqD6CjBevNayZwyGh7O4IJRDeU0Wmzd7WLfRw4dLfXz0TRVfrt7Ayk2r2FyzlMro+xQmEJbN9mMevBiwTjW5XsOg7+7O/J6CYsgq1Po9IiLSZZTgiIiko9aSn3BtvMjBBnxVa8nb9A155SsYUF0GA50mJxxoqY0EqQ4VUF4zgE2b9mfDwwFyF72Hz25fsrpBCLiz1sf/XbyMI/fZhUu+n8d3dl0J677AWWUVCOZD392crXAHJ+nRuj0iIuISDVFLMg1RE5FuKxqJ9/hscCq9bfoaNn8NlWuc0W5l5dgrH8HUt1xkYPtFSsHnGcawAftx7AE7cenpRew5JOLMLQrXOgUUsE6S028P6LsrFA5xqrepl0dERFqhOTjdhBIcEelxohEn6aleC/97Gi673qmkFt3ak2O9HqzXy+fn/ICZm3bj1SVr+HzVF2yueQ8o3+Z2Ad8Idineh5MOGsrPzyxkx34WQjVO0hOLANbp5ek/EvqPgKIhTgnrRNbpERGRjKEEp5tQgiMiPV5pKUybBjNnQmUl5ObASYfBKaMgt5ZYLEZ1DVRUGJavyeWRuX7e/HwdX65ZQlX9QqC20c28ZAf2YcTQvTj10CH87NRc+hWxdQ2hSC3gccpV99kFBu4NvYdBwQ7OMDwREclYSnC6CSU4IpLWYlFn/Z6qNU5Bg/VfEN2wnJqKesorYPlKeGBukDe+3MDSdUuoDX0INB7yFiQv6wBG7bwnZx85mItOCpCXjdOzU18JoSqnmccHfXaFQaOg906QX6yER0QkwyjB6SaU4IhIxrHWmdtTuRo2f0N49edUr1hG5eYQn38ND8+zvFm6keUbFlMfWdzk4nyKcsdwwG4jOO/YgfzwGC/BAI0SnkqcHh6vU7Rg0D7QZzjkDQRPlxa1FhGRFFOC000owRERAWIxZ15PZRn1a5ZTXvoZNSu/YdFXUR59J8zcZev4dtNiwtHSJhf2o1/hgRw8YlcuPHEApxwSw7t6Izz6Brz8EdSFIMsPR42EieNhzDHQayfILkrFpxQRkS6kBKebKC4utqtWrWqz3ZQpUygpKen6gEREuotoBKpWU7v6WzZ+8Rk1X3/G/EWbmTU/xIJvyijbvIio3fbfz7H0YxYbCWDx0ah8tdcDPg9cfTzsPxTyB8Lg/aHfCOi1I3j9Sf5wIiKSqJKSEq677rpEmq6y1hY3PagEJ8nUgyMikiBroa6cqrKVrP9yKeVfLmbee8v47/u1fPjtCnIr3ucjKsht7R5ZfrjzMuiXBXXlYGPO/J2Be0Px/s5wNvXuiIj0SOrB6SaU4IiIdEKknvIVK1n7+TIK/vgH+s6dh7eV/46FMXyy54GMuOl0soLxHp5YfL2fcK2z1k5BMexwIPTfw6nOprk7IiI9QksJjkrOiIhI95Dgwp6F8S0Rfiw7L36XnLGr2J29OJ8qLmU++duUqo578mcQyIMhBzrFCnoN01A2EZEeSAmOiIiktTzA8g2f8Q3XAtdSzM4cyTmEmMx79KbSaVg4xFl/Z+nrUPqqk9wUHwCD93PW4PFnp/JjiIhIgtQPLyIi3YO17dvy8xO7bXYePz11OiOKz8TvKQbKWMps/swr9CGbQb3OYdLJN7ByXQB8Wc6QtcIhkN0Hyt6Hd+6A566G9+6EVYvgsyUwaRIUFDjD2QoKnPelTSu+iYhIKmgOTpJpDo6IiEsmTYIZMyAcbrmN3w8TJ2Jvnc6aNbDkw0oeu3c2r7/1LKWrXycUWd6ocS/65h/DiQftze8uyGfXwXVbT8UiULMR3vsCbnwRohYi0W2f4/fDrFkwdqzrH1VERLanIgPdhBIcERGXlJbCqFFQU9Nym5wcWLQIhg/f5vD69bD4kyiPz3ydl15+nK9XvURd+MtGLfIpzDma4w7Yl99O6M2+u1TDyg1w8S1Q10pC1cLzRETEfUpwugklOCIiLpo9G8aNc3pxGvfktKNHpbwcliyBRx/8gBeffYhlK5+jNrS4UYts8rKO5uGC1Yxd/wGeWKzFe+HzwgU/hDvvTbhogoiIdIwSnG5CCY6IiMtKS2HaNJg5E6qqIC8PJkyAK69sX09Ko4RkMUH+j114jjo24Myt2Uzi1dtapf/uioi4QglON6EER0Skm2qhx6UUHzeyC7fzmTuVefTfXRERV2gdHBERkda0kHgMB24Jge1dANWVbd8mJ4j535T4m5izqGioBnwBGHYobF4BhTtoCJuISBdRmWgREZE2BALgPX+8M6+nFSHg9po8DvnZZl7/IBeMB3L6QNEQyO4FS9+A1/4Mc/4CK+ZDuK7V+4mISPtpiFqSaYiaiEgPlUDVtmpgFLAUgCwKc8Zy3jEH8eeLvRTmxYsgWAv15VBXAd4A7PRdGHqws/6OenVERBLW0hA19eCIiIgkYvhwpypbTs72PTl+PzYnh8//+BRDjniI3JwjgTrKa57k9md+Q69T/sneP1rFrDm5WAxkFUHRUMjpDUvnwKs3wJt/h9UfQzSS/M8mIpJG1IOTZOrBERHp4dqo2mYtLF8OjzyylDvuuJtvV9xDNFYWv9hLTuAYTjnkUG76eS6D+4acw9bG5+pUwiYLr66Cp+dsvf/48TB5stbXERFpRFXUugklOCIimaOuDj74IMrf/vYCr746g4qKZ4CGHpqB7DzgJCb/YCQ/PaUerwd493MoeRAiEYg2+u9zO9b1ERHJFEpwuoni4mK7atWqNttNmTKFkpKSrg9IRESSYvVqeOaZNUydOpPS0hlEIp9vORfwfofzRuzDjC9m4AmFW75JTg4sWqSeHBFJayUlJVx33XWJNF1lrS1uelAJTpKpB0dEJLOFw/Dpp5Zp0+by9NMz2LjxUaCG6cDFQKC1i70eGD8O7noAvFrpQUQym3pwugklOCIiGa5JpbTNQAl7cD2fU0An/pus/56LSIbRQp8iIiLdUBFwM5+lOgwRkbShBEdERCSZWuppKSiAyso2L68PBPHPnoLHAKEaqFkP/mz46hXY8TvOaxGRDKZ1cERERLqD8eO3X1+niRBwZ6ieghNf5ZfTo4RMjrOeTiAfPp4FL/4OSl+FcG1yYhYR6YaU4IiIiHQHkye3meBE8DGNANX1LzP1id+Td+Jj/GBKFRtr44mOPw8WPQYv/h5K50C4zrmwtBQmTXJ6iTweZz9pknNcRCTNqMhAkqnIgIiItGj2bBg3zim1Fm5ULjq+Dk7tzFk8UTua3/3uNpYvvw1r1wNgzI4cNvJU7rx6MLsPjTo9ONXrIJgHawfAz6e0eE+trSMiPZWqqHUTSnBERKRVpaUwbRrMnAlVVZCXBxMmwJVXbln/JhSCt9+u5aqr7uXjj28iGm3oiSlijx1OZ/rle3DM6Ch8/S387N9QH2n5eVpbR0R6KCU43YQSHBERcUssBp98EuVXv3qGOa/9jfrQvPiZAIOKTubloSsZuXg+RGMt38Tvh4kTYfr0pMQsIuIWJTjdhBIcERFxm7VgPIaHGMq19OFrPgQsm4HCjt5QRKSbaynBUZEBERGRHq5h7dBz+YZlfMBcerM/B5Gf2rBERFJCCY6IiEg6sHbLdohdz+uV7xDJykvs2txsqN6w9R4iIj2YEhwREZE0lJcHgQsnYNsoPW29HvjuLvDSH2DJ0xCqTlKEIiJdQwmOiIhIupo8GdNGglMTtfxiw+FUmgHwxfPOGjpL34BouNXrRES6KyU4IiIi6Wr4cGedm5yc7RYRDeOhGsM4LLe8dzu9Tn+M8/7Rn6poIXz0ILxyPaxapCFrItLjKMERERFJZ2PHOuvcTJwIBQXg8UBBAb5JP2P5o28T2/9yvJ4BRGMf8+Cc6yg64ynG31pMVVUM5t0Gb02DTcud9XkmTdrmHkya5BwXEelGVCY6yVQmWkREuhNr4eM3PuWaK2/khQ//R9SuA8DnOYBzjzid2y/ZTN7Hi+GmVyBqIdxo6Jrf72yzZjmJlIhIEmkdnG5CCY6IiHRHNhpl8Ytv8ptr/8nzH71M1G4AYDezD4vMEoKxVubk5OQ4vUTDhycpWhERrYMjIiIirTBeL3uNPZJn3rmLjx/7ByePOh2P6cXl9iNMa8kNOL0606YlJ1ARkTaoB6eTjDFBYDpwDNAfWAXcZq29ubn26sEREZFuL75yaDkQwEM2sfZdr+8WIpIELfXg+FIRTJrxAauB44GlwCjgBWPMKmvtIymNTEREpBMKAdqb3IiIpJiGqHWStbbaWvt7a+1X1tqYtfZD4Fng0BSHJiIi0jHWbt3y8xO7JicAX70CkVDXxiYi0oa0SHCMMdcYYx4zxiw1xlhjzNettPUYY640xnxmjKkzxqwwxkw1xuS6FIsPOAxY5Mb9REREUmr8+O3W0GkqBNxvd+XDp5511s9Zs0TD1EQkZdJiDo4xxgIbgfeBA4AKa+2wFtr+A7gceBKYDYwALgPeBI611sYatQ0Crf2rXmutjTa5/+3AGOBQa+12v8bSHBwREelRSkth1CioqWmxSTXO+OylDOCIkefy6OQw/UeMhL3OhPwBSQtVRDJLuldRG26t7WOtPQ4oa6mRMWZPnGTmCWvtGdbaO621VwFXAUcB5zS55C6gspXt8Cb3n4rTezO2ueRGRESkxxk+3FnnJidn+54cnxcb9PHKMceyLmsUsIbXl9zMoJ+8xI+uXUro+ethydMQajk5EhFxW1okONbapQk2PRcwwM1Njt8J1ADjm9x3vLXWtLLNaWhrjLkZp9DAMdba9R38KCIiIt3P2LHOOjcTJ0JBAXg8zv6nl2Dmz+OUP53F6hkH8fPjL8Lv3ZGY/YJ750yl4Lz3+eufXsO+PAVWLICYChaISNdLiyFqjRljPgHymhuiZox5ATgWyLHW1jc59zawm7W2XweeeQtwNHCUtfEloFugIWoiIpJ2rIV1n8GHD7BuxRrOvzXGC4uewtqNAPTJO4EZP9uV004eCqN+AEVDUhywiKSDloaoZVqC8zHQ31q73YBgY8yjwFlAsD3Dy4wxOwJfA/VApNGpN621Y5u2V4IjIiJpK1IPpa8RW/IMi5cZxt+8kUUrngTqAD+7DTyVR6/uzz5HHw4jToJgghXaRESake5zcBKVg5OINKeuUZuEWWuXx4erZVlr8xpt2yU3AGVlZRhjXNtKSkraE66IiEjX8QVh9xPwHFfC3gePYOHf83n6mssY3Ov7QIQvVs9i38n3c9R5z7L5iSmwfC7Eom3eVkTSQ0lJiavfg4Hi5p6jHpyt5zrUg9Ne6sEREZGMYC2sXgQfPkhdRQX3P2Lg6ac4K7qKfKAKw5e7jGD/KSdgTrwUeu+U6ohFpIdRD46jDOgbL//c1GBgvaqfiYiIuMAYGLQPHFtC1qZ+/OS5O7mINRTifPkowLL3V0uonXAzX149CT58AOoqUh21iKSBTEtw5uN85gMbHzTGZAH7AupaERERcdM3ZTB5KtRHMNFtq6gFgBxiFN/9PJdMmEXts1Pg67c1bE1EOiXTEpxHAAtc0eT4xThzbx7o6gASnYOjuTUiIpIWpk6FcLjVJn5gr0+eove5L3LnX+6BN26CzSuSE5+IdDuJztUhnefgGGMmADvG316G80uhqfH3y621Mxu1vRW4FHgSeA4YAVwOvA0cba3t0iL9moMjIiJpz/ni0S7lGIpwvpPsNvBEnv39Duzy3eNht7EQaFf9HxHJEGldJtoYMwc4ooXTr1trj2zU1ovTgzMRGAasx+nZ+YO1tqor4wQlOCIikgE6kOBYYAzHs5DXgDDG9OaC747lzvOy8b1dAU/MhqoqyMuD8eNh8mQYPtz10EWk50jrBKcnUYIjIiIZpaAAKivbbpcToO7eS7j5qQFc/+hsasNvcQIwC0O2BzyxRt9X/H5nmzULxja7KoOIZABVURMREZHkGz/eSUZa4/fDeeeRNWhnfn3GcpbdfSTn73YJs4Bc7LbJDThzempqYNw4KC3tstBFpGdSgpNkKjIgIiIZZfLkxBKcX/8WDrkMM/oiBhRVcc9Ob5HtaeNrSjgM06a5F6uIdAsqMtDDaIiaiIhknNmznd6WcHjbimrNDTXrwPwdwFlYVEQyioaoiYiISGqMHQuLFsHEic6cHI/H2U+c6Bx3ex5NaSlMmrTtsyZN0nA2kQyhHpwkUw+OiIhIAhIsTlBpfKy8+RL2OOZY2P0EeOnVxHuLRKRHUw+OiIiI9BwJFCcIAffaCHte8QxXXf0m0fsmw5lnOgUImi4uqsIEIhlDCY6IiIh0PwkUJzA+P7f7diVmlzNt9lRm/uwFYvX1rd9XhQlE0p4SnCRTFTUREZEEDB/uDCfLydk+0fH5IOjD/5vjeG3meA7e9TzAx+mhr/DEYq3fNxyG227rsrBFpPNURa2H0RwcERGRdigtdXpcZs6EqirIy4MJE2DSxVDzPnwzj2h2f1468V8cz/rEf3Or7z8iPV5Lc3CU4CSZEhwRERGXWAurPoL3Z0I0ROzcf+OpDbV9XUEBlJd3fXwi0qVUZEBERETSizFQvC8c83sYsBee7w7Hetv4auP3Oz1AIpK2lOCIiIhIz5ZdBAdNhN9ej/G1/tXGeoGfXrDtQa2bI5JWlOCIiIhIz2cMHD4OHpoJWX7wmm1Oh4Bq4PKCU9j40UPwzXvOELfZs2HUKJgxw1l3x1pnP2OGc3z27JR8HBHpOCU4IiIikj5OPwcWfQLnnAzZfjAQyw7yaPZgRgHT1z7ODj9ezNO3PAZP/dVZF0fr5oikFSU4SaYy0SIiIl1s193g/qeh7Ct44Q94HryQc5+6hFNOuRhjCqgNv8ipU+/lhUsexdbXtX4vrZsjknQqE93DqIqaiIhIEoXrYPGTsPQ1yO3H24sNp/zhBTZWL2AzUJjoffR9SaTbURU1ERERyTz+LNjnHDjkUgjXcugulax4+FQuYG/yUx2biHQJJTgiIiKS3oyBQaPg6N9B753JCa3g7hfPJBIIJHZ9QUHXxicirlKCIyIiIpkhpzd851LY+yw8VasJHDtS6+aIpCElOCIiIpI5PF7Y9Vg44lcw7uA2183B74Mrr9z6XmvmiHR7SnBEREQk8/TeCc67Cf7v5xD0bdeTEwJqjY/6y44B/zqtmSPSgyjBSTKViRYREekmArlw+TR4/n7M8SMhJ4A1hkrj59/AXjZC8XQPnz7xADx9k9bMEUkSlYnuYVQmWkREpBva/A2892+o2UQ4ezA/u3ENd71yF1CN17MXi/bwM+LzjzDRWMv38Pth4kSYPj1pYYtkspbKRCvBSTIlOCIiIt1UqBo+eBBWzsfmD+b+5+u56B8PE44uS3zNnIICKC/v2jhFBNA6OCIiIiKtC+TCmItgn3MxVauZcGyUj/91AQMLD098zZyqqq6MUEQSoARHREREpIHHA8OPgiOuBmD3vuv5cubx1Hp8iV2fl9eFwYlIIpTgiIiIiDTVe2c46rfQbzfywivIPnE/Is6k5pZpzRyRbkEJjoiIiEhzsgrg4Ekw8jQ8Y4fjDbTRi+P3b7tmjoikRIL9rSIiIiIZyOOFPcZCrx0xa+vgr//DRmLbVFMLYfAFvHiuPx8G90thsCIC6sERERERaduAkXD1DLjrCsxxI7A5QWJAOfBvLCMju/DU2iyY82fYtDzV0YpkNPXgiIiIiCQitw/84I8wch/MsjewuYO47/EQV971INHYZ5z+t9VcueQ8ptb9DbPfeBh6MLQ1b0dEXKcenCQrKytLaGXWkpKSVIcqIiIiTfmCsO95sP8FeGrXcelpMd668Sf0yjkG2My0/93Ggb9cS+3cu2DRIxANpzpikR6npKQkoe/LQHFz12uhzyTTQp8iIiJpYuMyePefEK5lfd0AjvtVGR8u/xcQpSh3P+b+aRQj9tvbWVsnuyjV0YqkHS30KSIiIuKm3jvBkddAr53o61vB3OmDuPDI64HB9K7+gDlXPEzo2N9Abi8oyIdJk6C0NNVRi6Q9JTgiIiIiHZVdBN+5FHY5huz6b/j3r+v539iTWISHi6gnEI6ABSqr4M47YdQomD071VGLpDUlOCIiIiKd4fXD3uNgzEX4lpVy4qt3k0uMQNN2kQjU1MC4cerJEelCSnBEREREOssYGHoQLDCYSKz1tqF6uOlvyYlLJAMpwRERERFxy933Q7SNBCcShfvuheoNyYlJJMMowRERERFJMltbD3P+4lRiExFXKcERERERcUt+fkLNKqzh+QW18OZNsPLDro1JJMMowRERERFxy/jx4Pe32iQEzMRy4nUP8O+XDLx7B3z1KmhtQhFXKMERERERccvkyW0mOF6/n3/6v4u15fzfbXcy7+q52FEngNcLBQVaL0ekk4xtx28LjDF/6MJYtrDWXp+M56TC6NGj7YIFC1IdhoiIiHSV2bOdUtDhsLM18PvAY+BXJ7Ck+DCuu/JZ7q57Az9sW1La73e2WbNg7NgkBy/ScxhjFlprR293vJ0JTgxnuaouZa31dvUzUqW4uNiuWrWqzXZTpkyhpKSk6wMSERER95WWwrRpMHMmVFVBXh5MmACTfgLrX4HFC4ldMQtPKNzyPXJyYNEiGD48eXGLdAMlJSVcd911iTRdZa0tbnqwowmOSfii9rPpnOCoB0dERCTDRerhnBPgqdch2sr3ML8fJk6E6dOTF5tID9JSD05H5+DsZa31uLkBozr3EUVERER6AF8QHp/TenIDzvC2++5LSkgi6aQ7FRlQ6RARERGRxqoqYYMKDoi0R3dKcEREREQyQ4Lr5USDAXhrGqxZ0sUBiaSP9iY4RwFHA12x7O6yRvcXERERSV8Jrpfz77oA8+dVwQVnQX4eeDwqJS3ShnYVGZDOU5EBERERobQURo2CmpoWm1Tj4TJi3Apkezx4YrGtJ1VKWsT1IgMiIiIi0lHDhzvJSU7O9j05Xg826OPzk8ZxKx5yYdvkBpwCBDU1zno76skR2YYSHBEREZFUGDvWWedm4kRn2FnD8LOfXIiZcRn7RZeQ3dY3tXDYWW9HRLbQELUk0xA1ERERaVN9FWQlVoiAggIoL+/aeES6oU4PUTPGDDTGnGGMOcUY06uVdkcYY/7Q0UBFREREMl4wL/G2VVVdF4dID5RQgmOMuQL4GngMeBJYYYz5dQvNjwSmuBCbiIiISOZKsJQ02QGIhrs2FpEepM0ExxhzDPB3wAAvAc8BXuDPxphZxhhf14YoIiIikoESKCUdwWAP3xnm3wWR+iQFJtK9JdKDcyUQAY621p5grf0+sDvwFnAG8KiSHBERERGXTZ7cZoJTj2VS2a7Eyj6Cd/8N4dokBSfSfSWS4BwIPGWtfbvhgLX2G+AY4CHgNJwkx9slEYqIiIhkolZKSVuvh1rjZxzwz0X/5eQ/VRBd8ynMux1C1amJV6SbSCTBKQC+bHrQWhsBxgP34SQ5jyjJEREREXFRc6Wk87Ixx+5O5Lafs2bH3wKG2e8/yAnXbSa6YSnMvRXqK1MduUjKJJLgrAb6N3fCOjWmLwRm4gxXewjQcDURERERtwwfDtOnO6Wgo1GoqIZpfyN/QDWv3xzgwOFOkvPyooc4+nebCG/8Ft7+B9RuTnXkIimRSILzKXBESyfjSc6PcJKcccDlrkSWpsrKyjDGtLmVlJSkOlQRERHpjoyBPU6CvcaRH/uWV27ycdhuvwU8vLHkIY64Zj3hzWvhrWlQszHV0Yq0W0lJSULfl4Hi5q5vc6FPY8zlwM3AEdbaN1tpZ4B7gPNx8h4NV2uGFvoUERERV1gLS+fARw9R4yvm5GuiLF/yZ64ixgXGRy4RTHYAfnge/Oa3Tk+QSBppaaHPRIaTzQIGAX1aa2SttcaYC3HWy9mxI0GKiIiISIKMgeFHgcdPzgczmT2uEnuDF4+NEbARp01NCO65Fx58GGY97szpEUlzbfbgiLvUgyMiIiKue+MxOP6HUB9puU1ONiz6WD05kjZa6sFJZA6OiIiIiHRnD78G0Tba1NfDX29ISjgiqaQER0RERKQnMwbuuAMirfTeAERj8OBDUL4yOXGJpIjrJZ2NMR5gJLAzkA+0WWzAWnuf23GIiIiIyLZsbQjz5lQ47EooGpLqcES6hGsJjjEmAPwWuATo245LLc5ioSIiIiLSXtY6i4BWtr24Z7XxkxXz4XtsCrwTgceegqoqyMuD8eNh8mTN0ZEez5UhasaYIPAS8DugH2DauYmIiIhIR40fD35/q01CwH9iYX572QfYy2bCvQ84SZG1zn7GDBg1CmbPTk7MIl3ErR6cy4HD46+XALcCC4CNQMylZ4iIiIhIcyZPhnvvhXC4xSZR4+NxG+F/37zc/G+Xw2FnGzcOFi1ST470WG4VGTg3vn8XGG2t/Ze1dqG1dpm1dnlbm0sxiIiIiGSm4cNh1izIydm+J8fng6APz+/P5LLCfWi9nwcnyZk2rasiFelybiU4u+LMpfmbtbbOpXuKiIiISKLGjnV6XiZOdObkeDzO/qc/hdefIbhfb84o/4hAW/cJh2HmzGRELNIlXFno0xizGadi2v7W2o86fcM0poU+RUREJCXWLIaBeyXW1uOBaFsL64ikVlcv9PllfN/PpfuJiIiIiJsG7Al5uYm1zcvr2lhEupBbCc5DONXQTnHpfiIiIiLitgnnO3NyWuP1wDlnJScekS7gVoIzHfgQmGiMOcqle4qIiIiImyZPhkDrs3CszwPfyYbazcmJScRlriQ41toQcAJOaejnjTE3GWP2M8ZkuXF/EREREXFB42prTXpyQkA18Mghp2J7eWDedKirSEmYIp3h1kKfUWAVcAjgB67ESXaqjTHRNraIGzGIiIiISAIaqq399KfOnBwDsewg9/l2ZhRw7pyXuO3ZHGzlGnjnNghVpzpikXZxa4iaabQ1fZ/IJiIiIiLJMnw4TJ8OlVWwbC6e+y/g+LsuYEP2iUAFl995J/e/UYDd/C28+y8IaxUQ6TnamGWWsOtcuo+IiIiIJNOOh0CklqEfPcy8mw9h9GV11IRe5cJp91CYexGn7P8VzL8LDrwYfG2uoiOScq6sgyOJ0zo4IiIi0u1YC5/PhsVPMn/Fzhx+9dPUR97B59mRF/84gaP2WAc7jIb9fwRet34/LtI5Xb0OTkYzxtxujFlhjKkwxqw0xtxsjNGvOERERKRnMAZ2Hwu7n8CYoct47rrT8Hn2JRJbztg/PMr8FQPg2/nw4YMQi6U6WpFWKcFxx3RgD2ttAbAvsA/w65RGJCIiItIexsDI02Gn73L0iKU8+utz8Zg9qI98wZFXP8GSdQNh+VvwySynx0ekm1KC4wJr7RJrbeMSIxbYJVXxiIiIiHSIxwOjzoHi0Zw2ZhkzLrsQY3aiJvQJh1zxHMsqi+Grl+HTZ5TkSLfVrkGUxpihDa+ttd80d7wjGt+rI4wx1wD7AwcAOwHLrbXDWmjrAX4B/BQYBqwDHgX+0CRJaW8MvwF+C+QBG4BfdfReIiIiIinj9cEB52PCNfzoqC8or/4ZV951MxW1Czjosiw+ufMY+n/6P/Dnwq7HpDpake20q8hAfL0bAGut9TVzvCO2uVdHGGMssBF4HyfJqWglwfkHcDnwJDAbGAFcBrwJHGutjTVqG8RZ16cltdbabT67MWYEMAG43Vr7bdMLVGRAREREeoRQDbz9D2IVq7nuwcFc/+jfgA0M738iH/xzDPm2DEb/GIYenOpIJUO5VWSgpbVr2rvujdvr4Ay31vax1h4HlLUYvDF74iQzT1hrz7DW3mmtvQq4CjgKOKfJJXcBla1shzd9hrX2U+BD4D+d/EwiIiIiqRPIgYN/hmdjhCmVD1LjrSIKLFz7HC/86AHq1gdh4T2w+uNURyqyjfb2nFzYzuNJYa1dmmDTc3ESqpubHL8T+CswHniw0X3Hx4+1lxfYtQPXiYiIiHQfc+bBpffgqa8nO+oMcikETqn4itjP/kn492fi9/wTDrsK+gxPbawice1KcKy197bneDc0BogB7zU+aK2tM8Z8GD/fLsaYPOAsnCFv5cBewO+BFzobrIiIiEjKlJbCuHFQU7vdqQBALEL9DY8T/ddFeOfeAof/EoqGJD1MkaYyrYpaMbDeWlvfzLmVQN8OrF9jgR8CS3GGrf0XeBa4ornGZWVlGGNc20pKStoZroiIiEgCpk6FcLjVJiYW4f3/e5eYJwiPXw8/uRAKCpxqbAUFMGmSkyiJACUlJa5+D8b5br+ddhUZ6AmMMZ8Aec0VGTDGlAJ+a+12Vd+MMffhFAfoZa3d3FXxqciAiIiIdHsm8SnS5cA73z+L4198EhOJQbTRQqB+v7PNmgVjx7ofp2Q0t4oM9HQ1QLCFc1mN2oiIiIhIAvKAw56ZhamPbJvcgNMDVFPjDHVTT44kSafKMzdljPEBJ+FUF9sZyMeZcN8aa61NVhH1MmCkMSbYzDC1wTjD10JJikVERESke7LWGWJWWdlm0wjgp40RQeEwTJsG06e7E59IK1xLcIwxRwL3AI2Hf7XWv2nj55M5Rm4+cDxwIM66NwAYY7KAfYE3khiLiIiISPc1fjzMmNH6PByvwR+1bQ8JCodh5kwlOJIUrgxRM8bsi7No5lCcpKUe+AQniXi9he2NRvtkeQQnobqiyfGLgRzgga4OINEiAyoeICIiIik1ebIzf6Y1fl/iXyarqjobkWSIRIsR0JVFBowxTwGn4CQ2VwH3WGvrOn3jxJ8/Adgx/vYynOqFU+Pvl1trZzZqeytwKU5Z5+eAEcDlwNvA0dbaJoNH3aUiAyIiItJjzJ7tzJ8Jh7ftyWkoHnD/PXDeBKhNYIR/QQGUl3ddrJJxurrIwGE4PSN/stbekczkJu4i4Ib41h8oavT+oiZtrwB+CewJ3AacA9wKnNzVyY2IiIhIjzJ2LCxaBBMnblv+eeJE5/jpZ8O5Z4O3ja+UPq8z5E0kCdzqwakCsoGDrLXqnmiFenBEREQkrZSWwt57QW0rv98O+uB//4ZjL0xeXJL2uroH5+v4vo2BmiIiIiKSVoYPh8efgOws8G5bXyoEhLw+Yr8/ByrmwfJ5qYlRMopbCc5T8f13Xbpf2lKRAREREUk7Y8fCoo/hzGMh2481hgp8/BvYM1rArM3DsPmD4P17Yc3iVEcr3Vx3KTLQD/gAZxHNMdbarzt90zSlIWoiIiKStqJheOcOWP8FH5UN4aDLn6E+8jZB3+689pdzOWTvMNSVw5CzYMbDcP/9TnW1vDxnjs7kyU6PkEgCunSImrV2HXAiUAu8a4z5iTGm0I17i4iIiEgP4fXD6Ashuxf7DFnLo9ecisfsRn3kc04qeZGlZVnw0Wr4zjEw405nIVFrnf2MGTBqlFO5TaQTXOnB2XIzY4YB7wJ9caqqrQdq2rjMWmszJlVXD46IiIikvYpVMOcv2EABNz+az1X33ASs5+g+x/By1RuY+lYWD83JcSq0qSdH2tDVRQYwxpwJfIiT3Jj4vfsDwxLYRERERCRdFAyCAydiatZx+Q/qmXjsFUCQMza8QqQ+0vq14TBMm5aMKCVNuTUH5xDgDcAbP7QcWARsBtpcW8ZamzE1A4uLi+2qVavabDdlyhQVGhAREZGe7YsX4JPHqc8exsUnvsWtzCahOQxaFDSjlZSUcN111yXSdJW1drtCA24lOM8CY4Fy4Dxr7XOdvmma0hA1ERERyRixGCy8B1YuxJ5+B5YEhw95PBCNdnFw0tN19RC1A3Dm3ExRciMiIiIigJOo7PtDKCjGPHMlZAcTuy4vr2vjkrTmVoKTG9+/5dL9RERERCQd+LPhwIlgY3iO2ZOYp42vn34/TJiQnNgkLbmV4CyL73Ncup+IiIiIpIu8/nDgxTB2N4zf23pbnxeuvDI5cUlacivBeQKnctr3XLqfiIiIiKSTAXvCUeMxvzwGG/QTNdt+DbVeDwT9cNWRkF2VmhglLbiV4EwFvgSuMMZsN9FHRERERITdT4CxJ2JuPgdz8hjq8RLFqVL1RN7ObJp6OXx3NLz3L1j3RaqjlR7KlQTHWlsJHAN8ArxhjPmTMWaUMSbLjfunk7KyMowxbW4qES0iIiJpx+OFA86HHQfh+dkR2Odu4IS9bqAID+PKv2LSAxuoqs+BrCKYeytsXNbmLSX9lJSUJPR9GdiuRDS4Vya6cR0/g1NRLVHWWuvrdBA9hMpEi4iISMbbuBRevxHyB7K5MsBBk6r5YvWfAC+/+v7FXD9pKEFbDtF6OPyXUDg41RFLN9TVZaJNo63p+0Q2EREREckUvXeGUWdDxUqKCi0v/l8+ffImAVFu/N993PXYaiL+QlhdBT88GYxxtoICmDQJSku3v2dpqXMukbaS1tzqwZnSmeuttQktVZoO1IMjIiIiQnwR0Luh7AMo2IG5C4Ic89t3qAs/ht/blzmnH8Eh/3saE45CNLb1Or/f2WbNgrFjnWOzZ8O4cRAOO1trbSVttNSD40qCI4lTgiMiIiISF6qB1/8PQtXY7D48/L9Cxt/8GMPsHBZhyG1t1kNODixa5LweNQpqatpuO3y4u/FLSnX1EDURERERkfYJ5DiLgEbqMJFazjqxnJKzJnAVvfG3NaU7HIZp02Dq1G17bVprKxlBPThJph4cERERkSZWzIf37oSiodSGvHhOnEKQNpKW9ioogPJyd+8pKaUenG5CZaJFREREmthhNOxyNFR8S3bQup/cAFRp8dCeoruUie4L/C3+9vfW2pVttB8M3IBTTvoqa23GpNPqwRERERFpRiQEb02DylVwzj+hpr7tawoKwFqorEysrXpw0kpX9+CcAfwI2K+t5AYg3mbf+DWnuxSDiIiIiPRUvgCM+QkYDxw1ErxtfE31Gjj1WBg/3qmU1hq/HyZMcC9W6dbcSnBOxemNmdWOax7FWQPnDJdiEBEREZGeLLePU3TgpN3B5229rc8HhwTg/JMTS3CuvNK9OKVbcyvB2TW+f68d1zSM09q11VYiIiIikjn67wFHXwC/PAay/NgmPTkhIBbwQ8kPYefhsPpZuOdWpxR000TH73eOz5qlEtEZxK0EZ3B8v7Yd16xrcq2IiIiICOx6PJx8Kvz9bMzJYwBnqFA5hn8D5w46hLKhu0MgF4L5kPMJzH0FJk7ceo+CAuf9okVa5DPD+Fy6TxjIAvLbcU1DW+NSDCIiIiKSDjwe2G88VKyEiwfCL05l8yY4+Tf9mfvlJbD8Dfrdswd//PkwigoLoXo9rH4abrwBpk9PdfSSYm714DQUFhjTjmsOjO9XuRSDiIiIiKSLYB4cdAlE6iBcS69eMPOadQwqvBqAO155hIefqaS2DsjtC/XV8M4/IVyb2rgl5dxKcN7A6Ym51BgTbKuxMSYL+DlOb+MbLsUgIiIiIumkcDDs/yOoWg2xKDsNszz6m74Efd8jZsv55QP/4423IkSiQP5AKF8BC/4D0UiKA5dUcivBuSu+HwY8Zoxpcaha/NyjwE7xQ3e7FIOIiIiIpJsdDoBdjoPyFRhr+c6Yem696HgMQ6mu/5hL7/qIjz50lsOhYAdY/SF88lj8gGQiVxIca+0C4D84vTgnAZ8bY/5ojPmeMWaUMWbv+Os/AZ/H21jgIWvtXDdi6CnKysoSWpm1pKQk1aGKiIiIpJ4xsOdp0GcXqFqLxwPnn17PT4+9GPDz1ZrHKXlgI19+GW9bOBRKX4UvXkhx4NJRJSUlCX1fBoqbu95Yl7JbY0wAeBwneQEngWm2aXz/PHC6tTaBZWrTx+jRo+2CBQvabigiIiIiW9VshFf/CL5sCOZRUQHfm/wt75TeDhTwqxOv4RfnWYoHAdEwVHwLo38MQw9OdeTSRYwxC621o5sed2uIGtbakLX2+8ClwDc4iUxz2zfApdbaEzMtuRERERGRDsrpDWN+AjXrIRahoABmXTeYfvnHAhVMff5Bnn05wOZywOuH/EGw8D+wZnGKA5dkcy3BaWCtvR1nfs1+wEXAb+LbT+LHdoq3ERERERFJ3ICRMOJkKF8J1jK42PDU7w7D7x1KNPYxVz/yEW+85XUqq/myIKcvvHMHbPo61ZFLErmS4BhjLo9vRwBYx0fW2nustX+Lb3fHj2nGl4iIiIh0zG5jof8eTmU14JDRAf5+4VlAgPKamVzzkOXdd3EqqwVynW3urVC5OqVhS/K41YNzMzAN6OPS/UREREREtuf1wQEXgDcAdRUYAz89qw8/PPQsAJaU/ZGbny5m0aL4hPCsIsDA3FugdlMKA5dkcSvBafjbssyl+4mIiIiINC+7Fxz0U6jdCNEwfj/869cjGVH8HaCK/37wFx56uR+lpfH2OX2chUDn3Qah6lRGLkngVoLTkNioB0dEREREul7fXWHP06HCmY+Tl2d49i/HUZi9M/A5056/l+fm5LJ2bbx9/kCoWAXv3QmRUCojly7mVoLzJE6FtFNcup+IiIiISOt2PQ4G7g2VqwDYaUiQZ0rOwu/tT9S+xbWz5vDaW14qq+LtCwbDus/gg/sgFk1d3NKl3EpwbsHpxZlojDnepXuKiIiIiLTM44X9J4A/G+rKAThsTCG3/3Q8hlyq65/k6gdLmTcPQiG2LgS6Yj58/Cio9lVaciXBsdZWAscDnwHPGmNmGGOOMsb0NvFlRkVEREREXJdVCAde7BQQiIYxwI9O68uVJ/0Y8LJi478peWw9C9+HmMVJcoqGQulr8Nn/lOSkIbfKREeBL4C9AS9wIfAysA6IGGOirWwRN2IQERERkQzVd1cYeeqW+Tg+H1z/s0GcuM9PAJj31T+Y/nQ5ny6JV1YzHigcAp8+A0vnpDJy6QJuDVEzjbam7xPZMkZZWRnGmDa3kpKSVIcqIiIi0nPsejz02x2q1gCQmwP/uXZH9hg0Hojy4Du3cf8LlXz7bby9x+fMyfnoYVixIGVhy/ZKSkoS+r4MFDd3vXFj3U1jzJTOXG+tva7TQfQQo0ePtgsW6P9EIiIiIq6r2QivXA+BPGeBT+DTT2Mc+qt32FT9P7yegdwy4SLOPSWXXmde61zzwh+geg0c+gvoPyKFwUt7GWMWWmtHNz3uc+PmmZSgiIiIiEg3ldMbRl/orHfjGwoeL3vs4eGhqw7nlL+sJxR5h189/Bj9C89hXMM1/izI7gPv3A7fvdqZnyM9mltD1EREREREUm/gKNjlGGc+Dk5NgaMPi3Lj+LMx7EZ1/Rdcft+zhBtfE8wDXw7MvRWq16ckbHGPEhwRERERSR/GwMjToHCHLcmK3w8/PqOOS465nJ3pzW83LySEwQL25Ovg5v/CxihEI05PTn1Vq4+Q7k0JjoiIiIikF18QxlwEsRCEawHIy4M/jp7PJ6aKi4FcrFPtqqYenp0PF98Cizc5RQrmz4BIKKUfQTrOlTk4jcXXvdkX2AfoC2TTRqU0a+31bschIiIiIhksfyDsO8FJVnrtCGWb6P2PB8GGt28bjTnbdQ/CnZdB7HP4YCYc8CNnMVHpUVxNcIwxFwBTgB3beakSHBERERFx15AxsP5z+GYePPY+hKOttw9HYdbbcPkpsOI9ZxHRvc50hr1Jj+HaEDVjzJ+Au4FhJLbuTUaugyMiIiIiSWIM7D0O8vrD0+86vTSticbgpQ+d6wqHwJcvwpcvJSVUcY8rCY4x5iDgmvjbl3CGqO0ff28BL9APGAs8jZPUvAUMstZqHpCIiIiIdA1/Noy5OOHmtjY+98bjhYId4JNZ8M07XRScdAW3koufxffLgZOstYtga/U969hgrX3BWnsa8HPgMOB5Y0zApRhERERERLZXOBjychJqGgsGsA1vvH7IHwQL/wOrP+mq6MRlbiU438HpqbnFWhtpq7G19g7gcWAUMMmlGEREREREmjfhAvC1XjAgBMzrvxMrVjQ66MuCnL7wzh2wobRLQxR3uJXgDIrvFzc6tmWQozHG38w1M3GGqv3ApRhERERERJo3eTIEgq02CQM/XrGCZ15Zz8ZNjU4EciFY4CwEWr6yS8OUznMrwWlIYNY2OtZ4haR+zVzzbXy/i0sxiIiIiIg0b/hwmDULcrLBu22NK+v1EPYFOJtD+NJW87tZj/PaG/XU1DZqlFUAHj/MvQWq1iU3dmkXtxKchp9yQaNja4CGWnwjmrmmodcn36UYRERERERaNnYsLPoYzjll67GcIObkMVTffBm7n/AzYASba5bzh1nP8+67lkjjyRc5vSEadpKc2s1JDl4S5VaC0zA0bY+GA9baUKPjzQ1DmxDfl7kUg4iIiIhI64YPh/ue2Pr+f1PgF6dSNLIPl571LSfs/TuggCUr3+WWZ+fz4UdgbaPrc/tBXQXMuw1C1cmOXhLgVoLzJs58mqOaHH8kfvzHxpjrjDF7GmMONMbcDpyNU5hgtksxiIiIiIi0zdPoK3Dd5i0vd9oJrp+wnF36/x8ATy18msfnLOPLr5pcnz8QKlfBu/+CSH3Xxyvt4laC81R8f7IxpvEwtX8AX8ef8ztgETAP+Gn8/CbgLy7F0COUlZVhjGlzKykpSXWoIiIiIumvrgKizto3Bth3X5h6QQ35WZOBGDc9/yivvL2R1WuaXJdfDBu+dEpIR9ssIiztUFJSktD3ZaC4ueuN3abPreOMMUcAPuADa+3GRsd3BO4HDm1yySfABGvtR64E0EOMHj3aLliwINVhiIiIiAjAFy85i3kW7QjOl2aqquDex4u4/L6nidnn6Z23C//80Xi+d2yAgsa/yrcWNi+HnQ6Hfc/bcr0khzFmobV2dNPjPrceYK19vYXjy4HDjTG7A3vGn/mltfYDt54tIiIiItIhuxwN6z+D9V86i3oCeXlw5gmb+WrVOdz84ldsrPqKv/5vDgV5x3PEEZDVUG3aGCgaCsvegOzesMeJqfscsoVbQ9TaZK393Fr7hLX2USU3IiIiItIteLyw3wTwBqC+csvhgQNg4mllfG+v3wNZvP/1HJ5Z8DXz34NotNH1xgOFQ2DJU/DNO8mOXprR7gTHGHN8Cwt3ioiIiIj0PNlFcMCPoGY9xLZmL7vvDr87eyVDek8G4J+vPs6nX9exaJFTKWsLj8/p/Xn/PljftCKBJFtHenCeBzYYY2YZY843xvRxOygRERERkaQauBfsfBRUrNxyyGNgzBi4aUIvAr7vEo1t4PePv0npUktpaZPrfVkQLIR379BCoCnWkQQnCuQBZwD3AKuNMW8aY35ljNmj9UtFRERERLqpPU+D3D7bLOIZDMJxR4S45uQTgQLWVrzGv95Yz8cfw5qmldWyCsDGnCQnVJPEwKWxjiQ4fYBzgYeAzYAXp0LaX4DFxpgvjTFTjTFHGmO8rkUqIiIiItKV/Nkw+sdQXw6xraWfexXBj06J8b29LgTg5Y9n8MGKAO/Nh4qKJvfI7Q9Va2DhPSofnSLtTnCstRXW2kestecB/YGjgWlAKU758OHAFcArwDpjzAPGmHOMMYXuhS0iIiIi0gV67wx7nLTNUDWOvpZhP76WP13Qn4GFRwOV/OXpp9hcm8W8d6Cu6Vqf+YNh1SJY/KRTSlqSqlNV1Ky1UWvtHGvtZGvtbsBI4DfAXJy5V0XAOcADwFpjzCvGmF8YY3buZNwiIiIiIl1jtxOcymjV67c5PGofwz9+dCheTz8i0bf49cMbqK7xsGB+08pqxrn+q5dgWbMrqUgXcrVMtLX2M2vt36y1hwMDgB8BTwBVgB84Cvg78KUx5hNjzF+MMd9xMwYRERERkU7x+p2qapFaiIa2HPb7YOwx2Vx23OkArNp0I/98bSjr1sPHHzetrOaFgsHw4UNOb44kTZetg2Ot3WCtvc9aexbQFzgBuB1YgTOUbSTwK+BNY8waY8zdxpj9uioeEREREZGEFQ6GPc+EirJtDufnwS8nDGP0TkcAIV76+G/M/2YXli6DpU0rq3kDzpycd/8FG5cmLfRMl5SFPq21YWvti9baS621w4D9gD8AC+JN+gEXAN9PRjwiIiIiIm0afiT03XW7w8XFcOslR5KfNRD4kL89vZCN9X0ZfvG1cPS12zYO5EAwH+ZOh4pVSQk70yUlwWnKWvuRtfaP1tqDgMHAT4FnAdXTExEREZHuweOF/c/f7rABxhwQ5E/nngIYorEbufahIZRTAEBFZZMLsgqdq+beCjUbuzrqjJfUBMcYs7Mx5kBjTP+GY9ba1dbaO621p1hrb0pmPCIiIiIircrrv/V1o4poXg9cNG4Ypx1wBBBjXeWl/JB/EcMwb14zldVy+0K4BuZNh/qmGZC4yZUExxjT1xgzMb5tVw46ntjMB74E5gFlxphHVTpaRERERHqMqrXbvM3JhluvPJrBvQYDpTzHHP7MtdTXw3vvQSTa5Pq8AVC1Dt65A8K1SQs707jVg3MG8E/gamtteeMTxhg/8BywP06Pnok/90ycCmsiIiIiIj1AFCJ12xzZodjH7ZPOwOvxAf/i9xzCZ2t3YuNG+OijZpbByR8Em76G92ZAJERKGONsacqtBOf4+P6pZs6dD+wWf/0C8GvgRZxE50hjzJkuxSAiIiIi4p7SUpg0aev78+6GqbNg5bbr45x89CB+etyx8Xc/4YbHx1BHAcuXwxdfNrmnMVCwA6xdDB/cB9FIl36ETORWgrMHTunvd5s598P4/k1r7Vhr7Y3AWGBO/Pi5LsUgIiIiIuKO2bNh1CiYMWPrsaoaeOUz+Mkt8O7nWw57DNx42WF8F4DVVNWdQ8mjx5OT52HxYlhZ1uTexkDhUFgxHxY9BLFYEj5Q5nArwekX3y9vfNAYEwS+g5P8/KvhuLXWAjNwenEOcCkGEREREZHOKy2FceOgpgbC4W3PRWJQH4GSB2Hlhi2Hc3I8zAJ2xAMs4PNVv+JfLx1Jfj4sWACbNjV5hjFQNBSWvQVLnmxmLJt0lFsJTq/4vmkf2xggGH/9UpNzDasdDXApBhERERGRzps6dfvEpqlIBGa95bxeuQFu/i/9gGXEKAem8xSLFtzJm5+PIBiEee84+dI2jAcKh8AXL8DnzyvJcYlbCU51fN+/yfHvxvefW2vXNznXUDwvbX6SxphsY8xXxpjNqY5FRERERDrAGLjjjrYTnKiFlz5whqpdfAs8O9+5HCgALgYWcRfvP/ECqyv7EIvBO+82uu3R8UVBPV5nTs7iJ2HZG134wTKHWwnOV/H90U2On4aTwDT302pIhta4FEN3cD3wbaqDEBEREZEkqAk5Q9XqwhDddh5NAMgFHrH/5Pb7avEG/FRWwvvvQ6zpr/e9figohg8fhG8Xdl28TYsmFBQ470tLu+6ZKeBWgtNQFe0SY8yJxpg8Y8xlwOj4+f82c80+8X3TaVc9kjFmf+BE4C+pjkVEREREOshayM9PrK3P6wxVa4UfOL/qakoe24X8fChbBUuWNHevoLNOzvwZsO7zZhokoLXyz80VTaisdN6PGuWcTxNuJTi3AJuBPOAZoBy4OX7uE2ttc39iJ+L07szr7MONMdcYYx4zxiw1xlhjzNettPUYY640xnxmjKkzxqwwxkw1xuR24vk+4E7g52wdeiciIiIiPdH48eD3t97G73dW8oy2PtsiAEwgzHtfXc4Dbw6jsBC+bFo6ess9syG7N8ybDptXdCj0ZrVWNCEcdo6PG5c2PTmuJDjW2jXA94FVbF3M0+AMXTuraXtjzC7AYfG3L7sQwp9xhseVAk1rVDQ1Dfg7sAS4DHgMuBx4xhizzZ+HMSYY741qafPGm04GFllr57jwWUREREQklSZPTizBSZDTH7SCu+dM5aPlfVrvIArmgS8b5t4CVWsTfkarEimaEA7DtGnuPC/F3OrBwVr7NrATcAxwHnAUMNJa+0UzzQcCN+DMWXndhccPt9b2sdYeRytD3owxe+IkNU9Ya8+w1t5prb0KuCoe7zlNLrkLqGxlO9wYMxyn5+aXLnwOEREREUm14cNh1izIydk+kfH7neOzZiU8lC0aCJITGAws5DcPPk15bXDLuaqqZi7I7uWsjfP2P6C2rd/dJyCRognhMMyc2flndQOuJTgA1tqwtfY1a+1D1trXrbXNDkq01r5lrb0uvtW58NylbbcCnEVFDVuHzzW4E6gBxje573hrrWllmwMcjrMO0GJjzGrgCaDAGLPaGPOdTnwsEREREUmVsWNh0SKYOHHrsYIC5/2iRc75RIayeT1w3L789Zwf4DGFhCLP8vO7lhCNfw1/510INZd75PaF+iqYeyvUVbj3uVrTbLbV87Q7wTHGHG+MSbxPrnsZA8SA9xofjCdZH8bPt9cjOD1X+8a3n+D07uwLLOhooCIiIiKSYsOHw/TpW9+Xlzvvhw933ic0lM2L/5zDOOuEvlzxvfMBH2vK7+IUxgJQXQ0LFzZTWQ0gfyBUr3eSnPrKjn+ORIsm5OV1/BndSEd6cJ4HNhhjZhljzjfG9HE7qC5UDKy31jZXCGAl0NcYE2jPDa21tdba1Q0bsNE5bFdba0NN25eVlWGMcW0rKSnpyJ+DiIiIiHRWa0PZvB7I8sOUH8LgPgwcCBd9fxCn7ncRAM/xPNdzAAUFsHo1fLqkhcUh8wdB5WpnTk5He3ISLZowYULH7p+gkpISV78H43y3346x7Vwx1RgTBhom11ucHpF3cKqnPW2t/azDn9oFxphPgDxr7bBmzpUCfmvt0GbO3QdMAHpZazd3VXyjR4+2CxaoY0dERESkx2govdzS9+bSUmeC/m23Oe9zgnDcvjDuMBi8tS8gFoO5c+GSfy9h8bf3A7n86Zyfc/CuRZSXw+gDYMiQFmKoWAX5/eGQSyG7qH1xlpY6paBralr+jDk5ztC7ht6pHsAYs9BaO7rp8Y704PTBmcvyEE5paC9wKM76L4uNMV/Gyy4f2ajKWHdRAwRbOJfVqI2IiIiISGKaDmV78lfwi1O3SW4APB44YDT85QcjKOYooJo/PHoP324sJz8fFr4PG1uqKVAwCKrWwVvToHpD++NLpGhCD0puWtPuBMdaW2GtfcRaex7QH6c88zScEs0GGA5cAbwCrDPGPGCMOccYU+he2B1WhjMMrbkkZzDO8LXthpWJiIiIiCSsuuXyztkbNnDsx0+zgteIAhti66i74zbsmm/JyoJ33oGa2hYuzh8IdZXw5o3OsLX2SKRoQproVBU1a23UWjvHWjvZWrsbMBL4DTAXZ/haEU7p5QeAtcaYV4wxvzDG7NzJuDtqPs5nPrDxQWNMFioKICIiIiJuyC5yKqA19e7ncPEtZL8yHw/Ol9JC4EexKg6dcQd9v15MLAbvvQeRZmsRA3n9IBKGN26ETV87x0pLYdKkrW0KCpz3TRfubKtoQppwu0z0Z9bav1lrDwcGAD/CKZtcBfhx1pr5O/ClMeYTY8xfklxK+RGcxOuKJscvBnJwErEulWiRARUPEBEREemhRp4BNU2Gka3cANc9CHVhiMa2ORUAcrDs+eiD9K5bR3k5fPBhy1N+yO0LHh+8cRM8cLszv2bGjK3nKyud96NGwezZbn6ypEi0GAFuFRnoiHhZ6aOAU4CTgYZJ/g0PXw88C9xqrf2gA/efAOwYf3sZzt+TqfH3y621Mxu1vRW4FHgSeA4YAVwOvA0cba3d9m+cy1RkQERERKSHaavIQNN2kTC8egNE6iErPkvj5v/Cs/O3S24aCwEv9B1A7s8uZ/Nmw557wu67tfK8r7+Fn/0b6lvq7qH54gGJfp5uzs0iA+0WXwD0RWvtpfHqZvsBf2DrkLB+wAXA9zv4iIuAG+Jbf5yhcQ3vL2rS9grgl8CewG04Q+huBU7u6uRGRERERDKA1wd7nQm1m5wk4uhr4el3W01uwPkN/XfXr+HBt16nsBCWLIFVrU21eWohRNr4+hoOOxXeMkhSenBaDcCYgTiJzfeBN6y1N6U0oC6mHhwRERGRHqa9PTjWOjWh3/ibU/Hs5MS/3kYBH/Cb08Zx1Ij9qauDI46AwoImDY++NuF7UlDgzLdpLs4eLKU9OI2C2NkYc6Axpn/DsfiCmHdaa09J9+RGRERERDKEx+P04tRXwCt/ctbGSUBVfOWSv/33ST5a8SU+n1NZra65ZeoTVdVMwYM05kqCY4zpa4yZGN+2KwcdT2zmA18C84AyY8yj3aR0dFKpyICIiIhIhuizCwzYC2rWwbH7grf1r94xj4e3+p0EXE3MRvnDIw/ybflK6uvhvXchEm3U+NU/J5w0kZfX0U+QEp0tMuBWD84ZwD+Bq6215Y1PxAsMPAfsj7NOjok/90ycCmsZpbi4GGttm5sSHBEREZEezhjY81QI18JZ3wG/t/Xmfi/esTszYvClwLnUheu55sH7qI5uYuMm+OCDJqPKEkia8PthwoTOfpKkKikpSej7Ms4al9txK8E5Pr5/qplz5wMN9R9eAH4NvIiT6BxpjDnTpRhERERERLqXoqEw5GAoiMCUH0KWf/ukxOuBLD+m5IeMOLoXV33vvxRmTweOYmNVJb9+4B68wVq+/RY++2xrGWLOOqzNpAm/H668cttj1vb4+TetcSvB2QPnz/rdZs79ML5/01o71lp7IzAWmBM/fq5LMYiIiIiIuK+zCcGIkyEWhdE7w52Xw8ljtp7LCTrv77wcDtqdoUNh/z2ruGrs8xgeB/ZmxYb1/PWpx8gviPHpZ7Dim/i1g/u0njQFffDb06C4d8dj74HcSnD6xffLGx80xgSB7+AkP/9qOG6dPqUZOL04B7gUg4iIiIhI95PbF3Y9DqpWO0nJL07deu5/U5z3g/sAzpfjUXvDoSOXM/6wRTgDpIqY+8VnPPT2HAoK4P0PYP36+PUH7d5y0jTjF7B3P3jrZqjZmJSP2h24leD0iu+brjI0BmiY/fRSk3NL4/sBLsXQI6jIgIiIiEgG2uVY8Aad+Tht8PngwDFwxui5HLRLDHgQMNzz2iu8//UXZGfDO+9CZUNxtNaSprwBUFsOb9/slKzuAbpLkYHq+L5/k+Pfje8/t9aub3Kuodhd+g4AbIaKDIiIiIikqdaGsgXzYM/ToXptQrfKz4fRB8Cko55hUK+DgRIslj8+/ggbazZiDMybB/WJlI/OHwB1lfDWVKhal/DHSZXuUmTgq/j+6CbHT8NJYN5o5pqGZGiNSzGIiIiIiHRfOx4Cuf2grrzttsDgwbDPnnVcPfYJ/N5fAydTWVfLHx59AG8gRF0dvPdek/LRLcnrD+E6ePMmqGg2L0gbbiU4DVXRLjHGnGiMyTPGXAY0rCz632au2Se+T+8/YRERERERAK8fRv0Aajcl1NwAe+4J++6ylkuPexGYCQznq9WrmPbsf8nLs2zYCB99mGANhNx+TrGDN26CTV93+GN0d24lOLcAm4E84BmgHLg5fu4Ta+3sZq45Ead3Z55LMYiIiIiIdG8D9oR+uyfc3OeFMWPgqJGfcNJ+S4EngRxe/OgDnl74LoWFsPwb+PyLBG+Y08dJtN64CdYs6cgn6PZcSXCstWuA7wOr2LqYp8EZunZW0/bGmF2Aw+JvX3YjBhERERGRbs8Y2Htcuy7Jy4UD9ofzD3mZPYr74BQjhtuef5bF3y6nqAiWtCdXySqCrEKYewt8PTft1sRxqwcHa+3bwE7AMcB5wFHASGttc/nkQOAG4HrgdbdiEBERERHp9oqGtvuSQcWwx+5RJp/wBIU5pwK/IBKLUvLog2yuqSQ/v503DOQ5FdYW/geW/NcZupYmXEtwAKy1YWvta9bah6y1r1trm5aNbmj3lrX2uvhW52YM3Z3KRIuIiIjIFtFwQs0MsOdIGL5DJVef+BSG/wMOZ0NVJdc99hDGszVBqahI8Nm+LCgaAp8/B+/8E+or2x1+V+gWZaKNMd+Nb9ntuCbYcJ0bMfQUKhMtIiIiIltUrUq4qTc+H2fU0OVceORc4FEMA1n0zdf866Xnt7R7ey5U1yR4U48PiobBuk9hzl+6RfGB7lImeg7wKs4QtUTt0Og6EREREZHM4w1CpJUBTUdf62xxDfNxTtr7HQ7bvRzL44CfWe++zUPxNtEozJ0LdYmskQPOvKCCwc6Fc/4PPn8+4Z6l7sjNIWomydeJiIiIiPRse3wfqhJb/LPBoGLYZRe45KhnGdJnd2AaAD8BPgLy8qCuDt55B8LtyVOyiyB/ECx5Cub8FTaUtiuu7sLVOTgdfHb6zGgSEREREWmPYYdCIBfCiY4p2zofp7h/Pb8++QmCvp8AE6gBjgeWrV1Dfj6Ul8P8+U7HTMK8fijaEeoq4I0bYcF/IBZr10dKtVQmODvG94kt5SoiIiIikm78WTDyNKhe367LGubjDO2znqtOmg38C8OxrAWuuncGy9aupqAA1q6DDz6EWHsrQef0hsIhsOJdiCY61q176FCCY4wZ2nhrdGpQ03PNbLsaY04A/oKz0OdiNz6IiIiIiEiPNGQMZBVAqLpdlzXMxxmz46ecedDHWJ4myJFsrqnmyniSU1gIK1bA4k+cL97tYjzO/JwextfB65Y1c8wAL3bgXvd1MAYRERERkZ7PF4QRp8AH9zvD1dphUDEMHw7nxF5j3bu1vMFs8rLGUl4zh6vum8HU8y9ip36D+PIrCAZht9266DN0Ix0domaabC0db22rB2601t7dwRh6JK2DIyIiIiLb2WG0s/hmuLZdlzXMx+nTO8bFP/uQfgUhqupm07/gUMprarjq3rtYunYVhYWweAl8vbxrwndTZ9fBMfEa0u1ijLmgyaF7cHq9fg+sbOVSC9QBq4APrLVV7X54Dzd69Gi7YMGCVIchIiIiIqnUMPSr8Xfx0lfh48egsNEMkIYS0a/+udXbVVXDa6/B8o0DuWrmBMLRKDv3P5yla+dTkJ3N1PMvYljfYior4eCDYNCgBOMsXwEnTQV/wstdJo0xZqG1dnTT4x0aomatvbfJze+Jv3zKWrukI/cUEREREcloQw6GJU9DNATeQLsubZiPE3lvNVec9Dw3Pn0y36x/jb2GHMonKz7iqnvv4qbzf8xOfQfz3nw47FDo06eLPkeKuVVF7SjgaJqfmyMiIiIiIm0J5MDOR0F1+9bFadAwH+c7O33M6WMWEInlsmrTy4zeeS8q62r55X13s3TdSrKyYO48p9cnHbmS4FhrX49v7Rs0KCIiIiKSiazddnhag2GHxc+1f+2Zhvk4RUVw/qGvMGroN2yo6ktN6CkO2W2kk+TMvIuvN3yLMbBwYY9b4iYhqVwHR0REREREGsvtA8X7QfW6Dl3u9cKY0eD1xLj2tCfpV1DBkm+H0yfvbg7bYyRVdXX8cubdrNj8LRs3wpdfuhx/N+BKgmOM6WuMuTu+DU6g/eB427uMMYVuxCAiIiIikhaGHw2R+uZ7eBKQmwujDwC/raHkrCfweyP87/2DGDP8zxw+Yk+q6ur41QN3E/VUsuRT2LjR5fhTzK0enDOAHwH7WWtbq6IGQLzNvvFrTncpBhERERGRnq/3zlBQDPUVHb7FwEGw6y5QnLeKK096HoDpz5/EWQdfyf47Daeqro7/vPEyWVkwfwGEwm4Fn3puJTin4pSAntWOax7FGSp4hksxiIiIiIj0fMbAbidAXXnHbwGMjM/HOXzXjzltzELCUR/XzzqbC474AV6Ph9kfLKCsYhV1dfDJx86X+XTgVoKza3z/XjuuaVgMZtdWW6UZLfQpIiIiIm0aNAr8WZ26RcN8HGvh4qNeZtTQb1hfmc+MVy/h5AMOJmYtt7/wHPn5luXfQFmb47CSo7MLfbqV4DTMu2lPTbuGmVNtztlJJ8XFxVhr29yU4IiIiIhkMF/QmYvTSbm5MHo01NXG+P2ZT9I3v4KPvxlCKHw9eVlZvL+slHe/+pzcXHj/A6ipcSH2TiopKUno+zJQ1tz1biU4DaP28ttxTUNb41IMIiIiIiLpY+h3XLnNoIGw667gjdZw3dlO0YHZHx7D4SPOBuCOF5/D440CsPB9iPXwsWpuJTgNHVpj2nHNgfH9KpdiEBERERFJH7l9XLvVyJHQuzcMLVrFxGPnAPDOF9Mo7tWPFRvW8/SCd8nLg/XrofQr1x6bEm4lOG/g9MRcaowJttXYGJMF/BxnLtMbLsUgIiIiIiLN8HqcoWoAJ+83n72HrmBTdW/6FfwOgHtff4WquloKCmDxEti8OXWxdpZbCc5d8f0w4DFjTItD1eLnHgV2ih+626UYRERERETSU31lp2+Rm+Osj1NbA1d//1mCvjAfLb+MnfrvSUVtLfe9/ipeLwSDTunocMSFuFPAlQTHWrsA+A9OL85JwOfGmD8aY75njBlljNk7/vpPwOfxNhZ4yFo7140YRERERETSVu0mV24zcCDstivkeTfxk2PmAIYNlf/GYHhy/jxWbFhPdrZTbGDx4p5ZOtqtHhyAS4BncZKcgcA1wHPAB8CH8de/iZ8zwAvARS4+X0REREQkPXl9EHVnNc49RkCvXvC9vRYwaug3VNR+h0G9TiMai/Gvl2YDkJ8Py5bBxo2uPDKpXEtwrLUha+33gUuBb3CSmOa2b4BLrbUnWmvr3Xq+iIiIiEjaGnY4VLdnRZaWeT2w334QjcDkk58j6AtTtuk2Ar4gb3/+KR8sK8XjcUpMf/4ZbHSn8yhp3OzBAcBaezvO/Jr9cHpofhPffhI/tlO8jYiIiIiIJGLYYWCjzqqdLigsgD12hwJ/w1C1QXjMrwC47YXniMZiBAIQicI777jyyKRxPcEBsI6PrLX3WGv/Ft/ujh/riUP5RERERERSp6AYeu/i2lwcgF12dXppxo5yhqrVha8h6B9I6ZpVvPDR+wB89+93cOKpOa49Mxm6JMERERERERGX7XochKpcu53PC/vvD6F6+OX3nyPo81EfngrAXa++RE19z5xNogQnycrKyjDGtLmVlJSkOlQRERER6U76j4BgHoRrXbtln96w887OULWLj50DnIvXM5qNVZU89Pbrrj2nPUpKShL6vgwUN3e9ac+IMWPMqPjLz6y1oc6Hv829g8DuANbaRW7euzsZPXq0XbBgQarDEBEREZGewPkiv3XuzRcvwpKnoHCIa48IheGVVwADv3n4PBYt/xY4lIDPx5eRCEMbP78bMcYstNaObnq8vT04HwLvA7u4EVQTuzS6v4iIiIhI5iothUmTtr4vKHDeh/sCBmJR1x4V8DtV1epqnQVAs/yjgR8QikS4xrWnJE9HhqgZ16NI7v1FRERERLqv2bNh1CiYMWPrscpK5/2Bh8NyP1Svc/WRAwbADjtAgX8zFx8zB/grEORB4F1Xn9T1OjoHp/v1UYmIiIiI9HSlpTBuHNTUQLjJwp7hsHP8mn/DSncTHAPsvRd4PHDSfgvZZ0cDXAnAFFef1PV8HbzuRWOMO0upbuV3+X4iIiIiIj3L1KnbJzZNRSIw+0vYaRgE8117dFaW03G0cCFcfcpzXHTHZOojYX7AEteekQwdSXAMMNjtQEREREREMt4dd7TdJhyG1z6FH49xNcEBGLIDrFgBmzZt5qfHvc8ts2/iOR7jQlef0rXam+Dc2yVRiIiIiIhI4mpqwHghFgFPRwdlbc8Y2HcfeOVVZ6jaobNnMI5ZwFmuPaOrtetPw1rbk5I3EREREZGeJT/fKSjQlrx8GHowrHgH8ptdDqbDcnNhzz1h0SI4m8dcvXcyaKFPEREREZHuYvx48LcxNd3vhwkTYNihEI10yRo1Ow2DoiLXb5sUSnBERERERLqLyZMTS3CuvBKKdoT8QRBKoMennTwe2H8/12+bFEpwRERERES6i+HDYdYsyMnZPtHx+53js2Y57YyB4UdD3eYuCaWwsEtu2+WU4IiIiIiIdCdjxzoTYCZO3HqsoMB5v2iRc75B8T5gPBCLJj/Obsq9kgsiIiIiIuKO4cNh+nS47TbnfXl58+2C+TBoX1izBPL6Jy287kw9OCIiIiIiPdmOh0KkLtVRdBtKcEREREREerK+u4I/GyL1qY6kW1CCIyIiIiLSk3n9sOMhULMh1ZF0C0pwkqysrAxjTJtbSUlJqkMVERERkZ5i8AFg06PQQElJSULfl4FmVzg1tgsWBpKWjR492i5YsCDVYYiIiIhIT+B8kW97Mc9YFJ7/DfhzwJfl3vOPvjax56eAMWahtXZ00+Nd3oNjjDm7q58hIiIiIpLRPF4YcrCGqZGcIWoPGmOuSsJzREREREQy16BRYGOpjiLlkpHglAI3GmP+kegFxph9uy4cEREREZE0VLQjGC/EIqmOJKWSkeAcAswDLjXGPG6MCbbU0BhzkDHmGWBhEuISEREREUkfvgAMGAF1LSwKmiG6PMGx1m4EjgEeB04HXjHG9G7cxhhzhDHmJWAucBIwp6vjEhERERFJO4P2g3B1qqNIqaSUibbW1ltrzwamAd8B5hpjdjLGHG+MeQN4FScJehE4zFp7TDLiEhERERFJK713Bkyqo0gpXzIfZq2dbIz5GvgH8Fn8+QZ4BrjBWqv6ySIiIiIiHZXXH4L5EKlzt1x0D5LUhT6NMWcBF8Xf+uP7a6y1pyq5ERERERHpJGNg4N5QuznVkaRMMtbB8RhjxhtjlgAPAyOB+4CzgY3ADcaYH3d1HCIiIiIiGaH/SIiFUx1FyiRjiNrnwM5ABLgL+Iu1dhmAMWYR8DxwpzFmB2vt9UmIR0REREQkffUaBliw1unRyTDJGKI2BLgD2MVaO7EhuQGw1n4BHAx8AEwxxtxpjEnqsDkRERERkbSS3QuyekGkPtWRpEQykolh1tpLrbUrmjtprV0LHIFTQe0i4GljTE4S4hIRERERST/GwICRUJ+Z6+EkYx2c1Qm0qQZOBu4FTkTr4IiIiIiIdFz/ERANpTqKlEhqmejWWGujwIXGmG+Ba1Mdj4iIiIhIj1U4NNURpEy7ExxjzGDgcWAB8Ii19k03A7LW/t4Y842b9xQRERERySi5fcGf7fTieAOpjiapOtKDczJwIDAGmNVaw3jBgJOA/QALLAOetdZuau06a+2dHYhLRERERETAmYfTZzfY8CXk9El1NEnVkQTnsPj+C2vtnJYaGWMG4pSA3rvJqbAx5q/A9dbaWAeeLyIiIiIibek/ElZ/CGRWgtORIgO74/TGPNVGu3uBUYBpsgWA3wMPGJOBhblFRERERJKhaDDJKZrcvXSkB6d/fP9OSw2MMQcBx+EkQgZ4HZgL9AbOAPoBZwPzgb93IAYREREREWlNfjEQy7gFPzuS0vWL71e20mZCo9d3WGuPstb+1lr7M2APnGTHANcZYwo7EEO3Yoz5jzEmZIyparSNSXVcIiIiIpLB/FlOkhOuTnUkSdWRBMfG99FW2pwY38eAP25zsVNg4CygEsgBxncghu7odmttXqNtfqoDEhEREZEM13c3qK9KdRRJ1ZEEZ318X9zcSWPMjsAwnERovrV2VdM28WMP4vTiHNOBGEREREREpC19hkMssxb87EiC82F8f1gL549r9PrlVu7zSny/bwdi2IYx5hpjzGPGmKXGGGuM+bqVth5jzJXGmM+MMXXGmBXGmKnGmNxOhnG+MWajMWaxMWZyvES2iIiIiEjq5A0g0woNdOTTvoDT83KhMSa/mfOnNXr9Uiv3+Tq+79uBGJr6M3A0UAq0usYOMA2nsMES4DLgMeBy4JmmSYkxJmiMyWtl88ab3oJTXa4f8BPgF/FNRERERCR18gY4+wxanaUjCc79QDnOl/mHjTF5DSeMMSOA78XfluMUE2hJwxyerA7E0NRwa20fa+1xQFlLjYwxe+IkNU9Ya8+w1t5prb0KuAo4CjinySV34cwVamk7HMBa+761dp21NmqtnQf8FfiBC59LRERERKTjfAEoGAShmlRHkjTtTnCstZXAL3F6cU4ASo0x9xtj7gXeBrw4828es9a2VoigoRpbp8s6WGuXJtj0XJy4b25y/E6ghiYFD6y14621ppVtTgvPyZwUWURERES6t97DIZQ5hQY6NCDPWnsXcBNOstAPJ3EYDzSUfA7Hz7dmv/i+xR6XLjAGJ/l4r/FBa20dztyiDpV2NsacbYwpMI7RwG+AxzsZq4iIiIhI5/UaBtHMKTTQ4RlH1tpf4SQ2X+EkOg1bNfBja+2Xbdziezg9PZ91NIYOKAbWW2vrmzm3EuhrjAl04L6XAt/gDFt7ALgdmNrhKEVERERE3JI/ADyZU2igU5/UWvuItXY3YCTO2jffAwZbax9s7TpjzC7AEfG38zoTQzvlAM0lNwB1jdq0i7X2u9baovj6N7tba/9mbfMzucrKyjDGuLaVlJS0N1wRERERySR5AyAWA2vbbtuFSkpKXP0eTAvL1vjcCNZa+xnt64n5A05vj8WpypYsNUD/Fs5lNWrTZYqLiykrS+aoPBERERHJaIFcyCpwhqn5gikLo6SkxNVfzhtjmv1S7UqC0wFzgCqgn7X24yQ+twwYaYwJNjNMbTDO8LXMGaAoIiIiIpmhaChsWp7SBCdZUjIYz1p7t7V2krX2rCQ/ej7OZz6w8UFjTBbOgqMLkhyPiIiIiEjX67UThDpdvLhHyJzZRo5HcIbFXdHk+MU4c28e6OoAEp2Do7k1IiIiIuKagkE4X4O7v0Tn6tDCHBxjUzzZyA3GmAnAjvG3lwEBtlYxW26tndmo7a04Vc+eBJ4DRgCX46zhc3RLxQHcMnr0aLtggTqKRERERCQBzhf5zhcIKP8WXvsrFA5u33VHX+vO87uAMWahtXZ00+OpmoPjtovYWpWtwQ3x/evAzEbHrwC+BiYCJwHrgVuBP3R1ciMiIiIikhI5fcDGK6k1JE1pKi0SHGvtke1oG8Xp3dE6NSIiIiKSGfzZEMxLeSW1ZMi0OTgiIiIiIpmpYDCEa1MdRZdTgpNkKjIgIiIiIilRNATCXbrkoytUZKCHUZEBEREREUmYW0UGAFa8BwvucdbESVQPLDKgHhwRERERkUyQ3Qs86f/1P/0/oYiIiIiIQHbvnrIUTqcowRERERERyQRZhYB1ykWnMSU4IiIiIiKZwOtz1sOJ1Kc6ki6lBCfJVEVNRERERFImv7jbl4pWFbUeRlXURERERCRhblZRA1j8JHz1KhQ0mxtsT1XURERERESk28obCLFwqqPoUkpwREREREQyRVYheLypjqJLKcEREREREckU2UVgTaqj6FJKcEREREREMkVWIaAy0eIiVVETERERkZTx54A3ALFIqiNpkaqo9TCqoiYiIiIiCXO7ihrAKzc4a+EEcttuqypqIiIiIiLSreX0TevFPpXgiIiIiIhkkvz+EFWCIyIiIiIi6SC3X7eeg9NZSnBERERERDJJViHQRqnolRvg5v9ufV9QAJMmQWlpl4bmBiU4IiIiIiKZJJjf+vl3P4eLb4Fn5289VlkJM2bAqFEwe3bXxtdJSnBERERERDJJsLDlcys3wHUPQl0Yok3WywmHoaYGxo3r1j05SnCSTOvgiIiIiEhKBXJpcbHPx96CcLT168NhmDbN9bAaaB2cHkbr4IiIiIhIwrpiHRxr4ZkrILcveHxbjzeseZOIggIoL3cvpg7QOjgiIiIiIuIkTdlFEA13/B5VVa6F4zYlOCIiIiIimSa71/Zr4bz6Z8gJJnZ9Xp77MblECY6IiIiISKbJ6QOR0PbHj90XvG2kCH4/TJjQJWG5QQmOiIiIiEimyenT/BC1sw4Dv7f1a/1+uPLKronLBUpwREREREQyTU5vsJHtjw/uA1N+CFn+7Xty/H7IyYFZs2D48OTE2QFKcEREREREMo0/B0wLPTUH7Q53Xg4nj9l6rKAAJk6ERYtg7NjkxNhBvrabiIiIiIhIWgnkgmnl/OA+8ItT4b/vOu9TXBK6PdSDk2Ra6FNEREREUs6fA7a1DCd1tNBnD6OFPkVEREQkYV2x0CdAXTk8fw0UDmm9XcPin90wZ9BCnyIiIiIi4vDngI11y8Sls5TgiIiIiIhkGq8ffFlgo6mOxHVKcEREREREMlEwv/m1cHo4JTgiIiIiIpkoWKAER0RERERE0kR2EcSU4IiIiIiISDpQD46IiIiIiKSNrAKIRVIdheuU4IiIiIiIZKJgvqqoiYiIiIhImvBlg0m/dCD9PpGIiIiIiLTNn0U6pgPp94m6ubKyMowxbW4lJSWpDlVERERE0pkvC7CpjmI7JSUlCX1fBoqbu95Y2/0+VDobPXq0XbBgQarDEBEREZGewPkiD13xnb2iDF77MxQMbrnN0dd23fM7yRiz0Fo7uulx9eCIiIiIiGQiX1a3TFw6SwmOiIiIiEgm6qZD1DpLCY6IiIiISCbyZTn7NOvFUYIjIiIiIpKJPB7wZ6fdYp9KcEREREREMpUvK+0W+1SCIyIiIiKSqfw5EFOCIyIiIiIi6cCfpSFqIiIiIiKSJvw5YGOpjsJVSnBERERERDJVIFc9OCIiIiIikiZ82ZqDIyIiIiIiaSKYpwRHRERERETShD9HZaJFRERERCRN+LJSHYHrlOCIiIiIiGQqrx9MeqUE6fVpREREREQkcb4gYFIdhauU4CRZWVkZxpg2t5KSklSHKiIiIiLpzhuE/2/v/sMkq+o7j78/0zMwGVBEwOgoIhsTcYmKZnQToxHQjcRojCFRiKg8Kq4/oqBmTcRoGk2MiWFB3UQTMBhZiAQWjImQ/UF2iKIbQdCV+CuKKDgaYBEV+c1888e9Y9c0VdU93dVV1bffr+e5T1Xde+6559btqalvnXO/h5p0K3YyOzu7qO/LwOZ++6dquk6o67Zs2VKXX375pJshSZKk1SBt78pKfWe/+RtwyR/BfR/cf/vhJ67s8Zchyaerasv89fbgSJIkSWvVzO5TGbwshwGOJEmStFbNbJh0C0bOAEeSJElaq9atZ9ruwVkuAxxJkiRprVq3ftItGDkDHEmSJGmtmtngPTiSJEmSOmJHD06HghwDHEmSJGmtStpenO2TbsnIGOBIkiRJa9nMbgY4kiRJkjpiZgPUPZNuxcgY4EiSJElr2frd7cGRJEmS1BEzu8N2AxxJkiRJXWCSAUmSJEmd4RA1SZIkSZ0xs7tJBiRJkiR1xIaN9uBIkiRJ6gjnwZEkSZLUGWZRkyRJktQZGzZ6D44kSZKkjlj/Iw5R070leVaSK5LckuRbSf7zpNskSZIkLWhmw6RbMFLrJ92ALkhyBPA+4IXAJcAm4KETbZQkSZK0GDMbIJl0K0bGAGc03gb8XlVd3L7+HnDVBNsjSZIkLU5mJt2CkerEELUkb0xybpKrk1SSa4aUXZfktUm+mOT2JNcmOTnJHks89h7ATwGbknw+yb8muSCJPTiSJEmafus6ERL8UFfO5u3A4cBXge8sUPYU4L8AnwdeDZwLvAb42yQ7vR9Jdk+y55BlBtgbCPAi4BnAgcD1wH8f4flJkiRJKyPraL7OdkNXhqj9WFVdDZDkKmDPfoWSHEwT1JxfVUf2rP8a8G7gKODsnl3eDzx/yHEPA65sn7+7qq5p63sTcEOSzVW1bUlnJEmSJI2DQ9Smz47gZhGOpglPT523/jTgVuCYefUeU1UZsmytqu8CXweqd9elnYkkSZI0ZlnXqSQDnQhwdsHjge3Ap3pXVtXtwGfa7UvxPuD4JPsn2UiTdOBye28kSZI09dbN0KXf57syRG2xNgM3VtUdfbZ9E3hikt2q6s5drPePaO7FuYImaPw4cOTQPSRJkqRpkJkuxTdrrgdnE9AvuAG4vafMLqmq7VX1W1W1X1XtU1XPrqpv9Cu7bds2koxsmZ2d3dXmSpIkSXOSsQxRm52dHen3YJrOi3tZaz04twIPGLBtY0+ZFbN582a2bXPkmiRJkqbEmIaozc7OjvTH+SR9v1SvtR6cbcC+SXbvs+3BNMPXdnV4miRJkrR6dSxN9FoLcC6jOecn9K5sEwMcAlw+gTZJkiRJk+M9OKvaOTSX74R564+juffmrJVuwGLvwfHeGkmSJI1F1k1VB85i79VhwD04qVr94VqSFwAHtC9fDewGnNy+/npVndlT9j3AbwAXABcCjwReA1wKHF5V21eyrVu2bKnLL7ejSJIkSYuw4+b/lfzOfsv1cPFJcN+H3Hvb4Seu/PGXKMmnq2rL/PVdSTLwEuAp89a9rX28BDizZ/0JwDXAy4BfBG4E3gO8ZaWDG0mSJGnqdGyIWicCnKo6dBfK3kPTu3PyQmUlSZKkzkumaojacq21e3AkSZIk9Vo3M5VD0JbKAGfMTDIgSZKkqTJlaaJNMrDKmGRAkiRJizaOJAN33goX/ibstf+9t63CJAP24EiSJElrWboVEnTrbCRJkiTtGu/BkSRJktQZmaFLeaINcCRJkqS1LAHSmV4cA5wxM4uaJEmSpkrSDFObkl4cs6itMmZRkyRJ0qKNI4sawEeOhz32awOdHmZRkyRJkrTqrJuB2j7pVoyEAY4kSZK01k3RELXlMsCRJEmS1rp166dyGNpSGOBIkiRJa126MxeOAc6YmUVNkiRJU2eKhqiZRW2VMYuaJEmSFm1cWdQufhvcfQfstsfO682iJkmSJGnVmaIenOUywJEkSZLWuphkQJIkSVJXzJhkQJIkSVJXZD3gRJ+SJEmSumCdPTiSJEmSusKJPrVUzoMjSZKkqbNuPdOSRc15cFYZ58GRJEnSoo1rHpxPnQ43fBE27bPzeufBkSRJkqTJMcCRJEmS1BkGOJIkSZI6wwBH6jgTVkjSvfnZKHWXAY7UcSeddNKkmyBJU8fPRqm7DHAkSZIkdYYBjiRJkqTOMMAZMyf6lCRJkgZzos9Vxok+NW5J8N+5JO3Mz0atGk70OZATfUqSJEnqPAMcSZIkSZ1hgCNJkiSpMwxwJEmSJHWGAU6HTToT27iOv1LHGWW9o6hr0tdTy7cWruFqOMdJt9HPxtHVNelrqdFYC9dxNZzj7GkfmezxR/gemUVtzMaZRW3SGWLGdfyVOs4o6x1FXUutY9J/B5qzFq7FajjHSbfRz8bR1bWc/Sf9d6A5a+FaLOscx5RFLQn1d6+fWBa1pbxHZlGTJEmS1HkGOJIkSZI6wwBHkiRJUmcY4EiSJEnqDAMcSZIkSZ1hgDNm27ZtI8mCy2pIJyhJkiSN2uzs7KK+LwOb++1vgDNmmzdvpqoWXAxwJEmStBbNzs4u6vsysK3f/gY4kiRJkjrDiT7HLMkNwNfHdLjNDIhsO3b8lTrOKOsdRV1LrWPSfweasxauxWo4x0m30c/G0dW1nP0n/XegOWvhWqyGc5x0G5dy/AOqar/5Kw1wJEmSJHWGQ9QkSZIkdYYBjqS+krwqyaeS3J5k66TbI0njlmR9kncluSnJzUlOT7L7pNslaTgDHEmDfAt4B3DKpBsiSRNyIvAU4CeBHwcOBv5goi2StCDvwZE0VJITgF+uqkMn3BRJGqsk3wBeV1Xnta+fDnwI2Keqtk+0cZIGsgdHmlJJ3pjk3CRXJ6kk1wwpuy7Ja5N8sR1Sdm2Sk5PsMcYmS9JErMTnZZL7AfsDV/asvgLYsV7SlFo/6QZIGujtwE3M/Yc6zCnAa4ALgJOBR7avH5vkab2/NLbjxzcMqeu2qrpnGe2WpHFbic/L+7SP3+3Z9+Z52yRNIQMcaXr9WFVdDZDkKmDPfoWSHAy8Gji/qo7sWf814N3AUcDZPbu8H3j+kOMeBmxdVsslabxW4vPy++3jXsCN7fP7zdsmaQo5RE2aUjv+s16Eo4EAp85bfxpwK3DMvHqPqaoMWbYut+2SNE4r8XlZVTcD1wKH9JR7LE0vzrVLaqiksTDAkVa/xwPbgU/1rqyq24HPtNt3WZsedSNNT++6JBuT7LbMtkrSJO3q5+XpwJuSbE6yHzALnGGCAWm6GeBIq99m4MaquqPPtm8C+y4xMPkd4DbgncCT2+f/c8mtlKTJ29XPy7cDHwf+GfgK8Hma1NGSppgBjrT6bQL6/WcNcHtPmV1SVbN9hq8dutRGStIU2KXPy6q6u6peU1V7V9VeVfXStrdH0hQzwJFWv1uBQTNrb+wpI0lrnZ+X0hpggCOtfttohlX0+0/7wTTDMe4cc5skaRr5eSmtAQY40up3Gc2/5Sf0rmwTBBwCXD6BNknSNPLzUloDDHCk1e8coIAT5q0/jmYs+VnjbpAkTSk/L6U1wIk+pSmV5AXAAe3L/YDdkvxO+/rrVXUmQFV9LsmfAL+R5HzgQuZm5r6EnSf5lKTO8fNSUq9U1aTbIKmPJFuBpwzYfElvRrMkMzS/SL4MeBjNrNvnAG+pqltWsp2SNGl+XkrqZYAjSZIkqTO8B0eSJElSZxjgSJIkSeoMAxxJkiRJnWGAI0mSJKkzDHAkSZIkdYYBjiRJkqTOMMCRJEmS1BkGOJIkSZI6wwBHkjRQkg8kqSTXDNhe7TI73paNRpJDe86hdzl10m1bTZJsbd+3rSt4jIcNuFYfWKljSlqdDHAkaQyGfJGuJLcluS7JRUlemWTPSbdXkqTVav2kGyBJYiPw4HY5AnhDkmdX1Wcn26w158XAZe3zGyfZEPX1TeBRPa//B7B5Qm2RNMUMcCRp/N4L/GnP632BRwCvA34COAC4KMkjqur7E2jfolVVJt2GEfpaVV016UasRlV16BiOcRfww+uT5K6VPqak1ckhapI0ftdX1VU9y9aq+jOaX6f/oS3zIOBlk2uiJEmrkwGOJE2JqroTmO1Z9R8n1BRJklYtAxxJmi5X9Dzfv1+BJOuSHJ7kj5NcmuTGJHcluTnJZ9r1D13MwZI8ss2Udm2S29vHs5M8fpH7D8yilmR2x/YF6ujNjnXsgDIPT3Jqkv+X5PtJ7kzyrfb1WUlemOQ+i2nzciR5UJsI4rwk/5LkB0nuSPLNJH+T5HlJBv7fOi/ZxKFpHJvk4iTfTnJPkg/32e+gJKe01/em9lpd3e73uiT3+luZf22SHJbkw0m2tYktvpDkzUn2mLffM5Jc2FPu80nemGS3Iec1MItav+ub5Kk9bbmj/bs7I8nDB7/7krQ43oMjSdPlnp7ng+4xeAvwu33W7wU8pl1ekeSYqrpg0IGSPBf4ILB7z+qHAEcDv5bk5bvS8JWS5EjgLHZuJ8AD2+VRwK8D1wN/v4LtmAGuo/+Pg5uBX2qXlyT5laq6ZYEqN9K09+eHHHMd8HvAG4CZeZsPbJfD2+MeOqSe3wbeDvTeM3UQ8FbgiCRPB34AnAIcP2/3R7b7/lySZ1bVPSxDkt8HTpy3+iHAscCRSZ5eVZ9czjEkrW0GOJI0Xf59z/NrBpRZD3wLuAD4JHA1cDtNj88TgVcCewJnJ3lcVX1hfgVtD81ZbV13Au8C/q6t5wk0X0DfC3x+2We0DEl+FPhLmuDmBprkDJ9on28E/h3ws8Avj6M57eM/ABcBn2vbcZ+2HccBP0MztPBPgBctUN8fAo8GPgqcQXO99wF+tKfMfwVe0T6/vq3348B3gL2BxwHPAYb1kv0CzTX9JPAe4Ms0iS2Ob7c9Efht4KZ23UXA6W17HgK8Efhpmgx/xwHvW+C8hjmuPd6lNH9fXwL2AH4VeBXNe/nfkhzUJhWQpF1XVS4uLi4uK7zQ/Lpe7TI7pNzZPeV+fUCZhwEbhtTxEJqehgLOHFDmsnb73cDT+mzfDFzb05ZrBtQz8Jxo7ieq5r+aoe/Nw3rqOXbethf3bHvUkDo2APdZ5nU5dIGyAR6+QJmT2rq2Az++wPEK+IMhdT2jp9xlwD5Dyu4/5NoUcB4wM2/7DE3QU8D3gNuAU/rUs4km2CngswOOv7XdvnWB61vAXwDr+pR7S0+ZZy/i2u1o0wd29bq7uLh0e/EeHEmasCT7JHlSkgtphodB8yv9X/crX1XX1JBft6vqOuCd7ctfSrJTKue292ZL+/KMqvrfferYBrx+185kRTywffxOVX1uUKGquqtWOKV2Nb6yQLG30syhE5phY8N8BXjzkO07hnHdAfxqVf3/IW27dkg9twIvq3lDy9rXf96+vA9Nb9Qb+tR9K00vGsCjk+w15FgL+Tbwyqra3mfbqcwNy3zKMo4haY1ziJokjd/vJul3Dw00w8XOBE6oqrsXU1mS+9IMbdrE3DCqW9vH+9Lcp3F1zy5P63l+xpCqLwBuBu63mHaskG3t495pJj/9mwm2ZSft/TEPpAkONvRsuo5mCNhjFqjiQ4OucZL70wzlAji/qr6+jKb+r6q6acC23slkzx8SOPeWOxD4zBLbcl5V3d5vQ1V9L8mXgYNphvxJ0pIY4EjSdPkScGotcIN6kgOA3wSeRTMx6DD7snOAs2M2+O3ApwftVFV3JbkSOGyhRq+gjzB3v8kFSS4B/hb4GHDlYoPAUWl7w54PvAT4D8CPDCm+7wLVfXbItkOYC1Y/ttj2DfDlIdtuXkK55WSru9f9YPPsCMRWPCOepO4ywJGk8Xsvzc3y0HwO78jA9WKa4OOSJE+sqi/12znJL9DcU7Fpkceb/yX8/u3j96rqjgX2/ddFHmNFVNVNSZ4J/BXwUJp7WA5tN/+gTUv8QZqegX7DnkYmyUbgfJob8xdjWPADTeA2yH49z7+1yOMNcuuQbb3v2WLLzc/mNqq29B5nOceQtMZ5D44kjd/1VXVVu3ymqi6sqpfTZMPaThOAnN2mJd5Jkn1oEhFsAm6huZH/Z4AHALtXVaoqwFN7d5tfTfs4dH6aAfuOXVV9AvgJ4Cia4Xs7hmvtAfwicA7wyST79a9hZN7EXHBzCfBc4OE0Getmet77HT0uC713i023vJjrJElqGeBI0pSoqo8yl4L3cTTzgsz3a8zdE/Ocqjqpqv5vVd1QVXf2lLv/vXf9oR3DgPZKMn9umfkesMD2YX74q/+wyS9pApWhquqOqjqnql5YVQ+j6c35T8wN83oC8GfLaOtQ7dC0l7YvPwYcXlXnVtVXq+oH83qPhr33i3Vjz/PNI6hPktYMAxxJmi4n0Uy4CE0ygvmzxx/cPt7UL/tZjy1Dtu3IRrYO+KlBhZKsp7kXZKl6s5rtPaTcQbtacVVdW1V/ThPYXNWuflaShYaFLdX9mcvodu6g4XBJ9gQeMYLjXclcz83PjaA+SVozDHAkaYpU1fXM9UTsz70ni9xx7+TGQb0iSTYBLxhymN7AaNhklM9heGCykN7EBo8fUu75Sz1A22u1Y0jYemA5KYyH6b1ndViP00sZwf2tbdazS9uXz2mTSkiSFsEAR5KmzzuBHal039j2pOzwL+3jJpp7QHbS3rdzOkOGNVXVp4Ar2pcvSXKvLGlJHgj88a43fSefoJlIFOD1/QKyJC+gCaT6SnJEkoHn0t74/+T25ffZeWjXKN3AXCaxo/sN7WvnF3rbCI/5jvZxd+C8NnV0X0n2H+FxJWlVM8CRpClTVd8G3t++PJCdezj+mmbiR4AzkrwjyVOTbEnyIuCfaCYLvZThXkkTfMwAF7X1PDnJ45O8iiZ99IMYnsp4ofO4AfhQ+/JpwEeTPCPJY5M8M8kHaSaQHNbWo4BrklyU5IQkT2v3f1KSl7b7/mRb9rSVShvdDkk7q335aODjSY5u3/enJjkZ+EeawHRYuuVdOeZHmZuIcwvwhSRvSXJYkkPax9cm+RhNJjlJEqaJlqRp9YfAccBuwIlJzqyq7VV1XZJX0PTSbAR+q116nQOcxs5D0XZSVf+U5IXAB2h6CObXczdNEPSzLDxh5TCvo/lyfhBwRLv0uhh4DfDPQ+rYMGDfXucCJy69mYvyJpr34xCaczp73vabgCOBt9JkfRuFV9Bky3stTcKHkwaUu2REx5OkVc8eHEmaQlV1LU3vBjRflp/Xs+0MmmFZH6YZOnUXzVwpfw88r6qOYhEpiKvqr4DH0qRe3gbcCXyTppfoSVV12gjO4wbgp4HfB75I08NxM/BJ4OXAzzN8bpTjgV+hmTfoMuC6tp23AV+lCTKOqKrnLmJOn2Wpqu/SBDhvpknUcDtN8PEFmuF8j6mqfxzxMbdX1etpgqo/bY/1fZrzv5omQDyepqdLkgSkyvT6kqS1KcmhwP9pXx5WVVsn1hjtkiTXAAcAf1lVx062NZKmiUPUJElqHJhkR5KCG9t7oTQlkmxg5xTcGybVFknTzQBHkqTGX/Q8fxdwwoTaof4ezNwcTpI0kPfgSJIkSeoM78GRJEmS1Bn24EiSJEnqDAMcSZIkSZ1hgCNJkiSpMwxwJEmSJHWGAY4kSZKkzjDAkSRJktQZBjiSJEmSOsMAR5IkSVJn/BsB8G7O4CSnUAAAAABJRU5ErkJggg==\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.clf()\n", "\n", "plt.style.use('MyStyle')\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot()\n", "\n", "plt.yscale('log')\n", "plt.xscale('log')\n", "plt.xlabel('Radius [arcmin]', fontsize=28)\n", "plt.ylabel('$S_{X}$ [cts/s/arcmin$^2$]', fontsize=28)\n", "\n", "plt.plot(p2.bins, tmhyd.sb, color='blue')\n", "plt.fill_between(p2.bins, tmhyd.sb_lo, tmhyd.sb_hi, color='blue', alpha=0.5)\n", "plt.errorbar(p2.bins, p2.profile, xerr=p2.ebins, yerr=p2.eprof, fmt='o', color='red')\n", "\n", "plt.plot(p2.bins, np.median(tmhyd.ppc_sb['sb'], axis=0), color='black')\n", "\n", "az.plot_hdi(\n", " p2.bins,\n", " tmhyd.ppc_sb['sb'],\n", " ax=ax,\n", " hdi_prob=.68,\n", ")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here the blue shaded area shows the best-fit model and its corresponding 1-sigma range, whereas the orange area represents the 68% confidence region of the generated posterior predictive samples. Clearly the model provides a very good representation of the data. \n", "\n", "We can now do the same thing with the temperature profile..." ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/deckert/opt/anaconda3/lib/python3.9/site-packages/arviz/plots/hdiplot.py:157: FutureWarning: hdi currently interprets 2d data as (draw, shape) but this will change in a future release to (chain, draw) for coherence with other functions\n", " hdi_data = hdi(y, hdi_prob=hdi_prob, circular=circular, multimodal=False, **hdi_kwargs)\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.clf()\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot()\n", "\n", "plt.xlabel('Radius [arcmin]')\n", "plt.ylabel('$T_{X}$ [keV]')\n", "\n", "plt.errorbar(tmhyd.spec_data.rref_x_am,tmhyd.spec_data.temp_x,yerr=np.array([tmhyd.spec_data.templ,tmhyd.spec_data.temph]),fmt='*',color='red', label='Data')\n", "plt.plot(tmhyd.spec_data.rref_x_am,tmhyd.ktmod,color='blue', label='Model $T_{spec}$')\n", "plt.fill_between(tmhyd.spec_data.rref_x_am, tmhyd.ktmod_lo, tmhyd.ktmod_hi, color='blue', alpha=0.3)\n", "plt.plot(tmhyd.spec_data.rref_x_am,tmhyd.kt3d,color='green', label='Model $T_{3D}$')\n", "\n", "plt.plot(tmhyd.spec_data.rref_x_am, np.median(tmhyd.ppc_kt['kt'], axis=0), color='black')\n", "\n", "az.plot_hdi(\n", " tmhyd.spec_data.rref_x_am,\n", " tmhyd.ppc_kt['kt'],\n", " ax=ax,\n", " hdi_prob=.68\n", ")\n", "\n", "plt.legend(fontsize=22)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again the model seems to provide an accurate representation of the data, as all the data points are included within the orange range. Here we have plotted both the fitted projected spectroscopic-like temperatures in blue and the corresponding 3D temperatures in green.\n", "\n", "Finally we can save the resulting samples to an output FITS file using the [hydromass.Mhyd.SaveModel](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.mhyd.Mhyd.SaveModel) method. The posterior parameter samples of the mass model and of the gas density model are saved and can be reloaded later on using the [hydromass.ReloadModel](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.save.ReloadModel) function." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "WARNING: VerifyWarning: Keyword name 'LOWcdelta' is greater than 8 characters or contains characters not allowed by the FITS standard; a HIERARCH card will be created. [astropy.io.fits.card]\n", "WARNING: VerifyWarning: Keyword name 'LOWrdelta' is greater than 8 characters or contains characters not allowed by the FITS standard; a HIERARCH card will be created. [astropy.io.fits.card]\n" ] } ], "source": [ "tmhyd.SaveModel(model, outfile='mhyd/test_save.fits')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Computing overdensity radii and masses ##\n", "\n", "_hydromass_ allows the user to compute the radius within which the average density is equal to any user-defined overdensity from the fitted mass model. Namely, for each parameter and a given overdensity $\\Delta$ the code searches for the radius within which\n", "\n", "$$ \\frac{M(" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "res_r500, fig = hydromass.calc_rdelta_mdelta(500, tmhyd, model, plot=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The output of the tool is a dictionary containing the median and 1-sigma error envelope of the overdensity radius, enclosed mass, gas mass, and gas fraction" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "{'R_DELTA': 1232.9910674475118,\n", " 'R_DELTA_LO': 1157.723867339469,\n", " 'R_DELTA_HI': 1319.885040080051,\n", " 'M_DELTA': 909576034021675.5,\n", " 'M_DELTA_LO': 752964668916140.1,\n", " 'M_DELTA_HI': 1115754822457740.8,\n", " 'MGAS_DELTA': 125096386365429.19,\n", " 'MGAS_DELTA_LO': 117992291349397.7,\n", " 'MGAS_DELTA_HI': 131245245662375.42,\n", " 'FGAS_DELTA': 0.13787990881204581,\n", " 'FGAS_DELTA_LO': 0.11748226889506014,\n", " 'FGAS_DELTA_HI': 0.1580835501934931}" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_r500" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The [hydromass.write_all_mdelta](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.delta.write_all_mdelta) tool can be used to extract a diagnostic file including the best-fit overdensity radii and enclosed masses for $\\Delta$=2500, 1000, 500, and 200. By default the results will be stored into a file entitled _MODEL.jou_ under the output directory, with _MODEL_ the name of the chosen mass model (here NFW)." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [], "source": [ "hydromass.write_all_mdelta(tmhyd, model, rmin=100., rmax=4000.)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Output mass profiles ##\n", "\n", "The handy function [hydromass.mass_from_samples](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.plots.mass_from_samples) allows the user to extract posterior mass profiles within any user-defined radial range. The tool also extracts the cumulative gas mass profile and the corresponding hot gas fraction as a function of radius. The output profiles can be easily plotted from the data and saved into output files." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "res_mass, fig = hydromass.mass_from_samples(Mhyd=tmhyd, \n", " model=model,\n", " plot=True)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The output is a dictionary including the resulting mass profiles" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "scrolled": true }, "outputs": [ { "data": { "text/plain": [ "dict_keys(['R_IN', 'R_OUT', 'R_REF', 'MASS', 'MASS_LO', 'MASS_HI', 'M_DM', 'M_DM_LO', 'M_DM_HI', 'MGAS', 'MGAS_LO', 'MGAS_HI', 'FGAS', 'FGAS_LO', 'FGAS_HI', 'M_STAR'])" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_mass.keys()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also have a look at the output gas fraction profile, defined as the ratio of cumulative gas mass to cumulative hydrostatic mass\n", "\n", "$$ f_{gas}(r) = \\frac{M_{gas}(" ] }, "execution_count": 24, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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a7JLzc4AMwAfob6GIiIhIFSouhqlTXWPUVq1iPRuJF4keC18HGODJcuefBXKBG0LdwFq7yVpb5PXBxpjGxpgGlVxyHpAKPFcaAJU8bwWwEBhTEiiJiIiISBX58EP47julwZXqsnIWXVbOivU0Yi7Rg6ABQAD4ouxJa20esKLk9arwDyAbOGiMWWuMuc+Yo6rMlz77syDjlwLNgBOraH4iIiIiSW/FCtcTqHPn5OsHVJHLnhnOZc8Mj/U0Yi6h0+FwKy07rbX5QV7LBM4yxtSz1hZE6XmFwDvAe4C/5Pm34Vai+gC3lJtb6TyCzQ2gI/BNlOYmIiIiIiW2bHH7gDp2TN5y2MFsPHVorKcQFxJ9JagRECwAAsgrc01UWGuXWGtHWGsnWmtnWWsnAmcA84Bxxphzys2NCuZX6dz8fj/GmKgdPp8vWn8EIiIiInHvwAF45RVo0QIaVLZ5IQnNu3sW8+6Oz3Q4n88X1ffAHF6UOEqiB0G5QP0KXmtQ5poqU1J97tGSL68o81Lpc4PNr9K5paamYq2N2qEgSERERJJFaSGE/Hxo3jzWsxEvfD5fVN8D4zK3gkr0dDg/0MsYUz9ISlxHXKpctFLhKrOh5GPrcnMrncfqctd3LPkYLFVORERERCK0YAGsXQvdY9SVsbAQduyArVth1y6w1qXj1aoFjRtDSoo7WrSAOon+TjyBJfof/ZfAJcBAyvTtKana1gf4pJrm0aPk47ZycwM4E/iw3PVnAPuBtVU8LxEREZGk8d13rhpc167V87zdu2HNGsjMdEHP1q2wc6cLfEKpU8fN8/jj3XHccdCsWdXPefwEVyFi0sQwJlmDJXoQNAV4ENeAtGzz0jtw+20ml54wxnTANSvdZK2NKEXOGNPKWrur3Ln6uJ4/AGUTLD8GsoDbjTFPlOkTdDpwPvCitbYwknmIiIiIyJF27IA33oD27auuEEJhoQt6vvrKBVzbth19jTHQti20a3e4OWsgAEVFkJ0Ne/bA3r3u4w8/uKNUmzYuIDrxROjdW+l8VSmhgyBr7SpjzL+Au40x03FV23oC9+KCkLKNUh8FbgYG4/r0AGCMGQQMKvkyreTj3caYvSXPeKTMPeYaY/y4Zqel1eFuwK0EPW2tPVSq21pbaIy5DxeoLTLGPIsri/0AsAN46Fi/fxERERGB3Fx4+WWoXx8aRa0k1mGrV8OiRfDNN67paqkGDaBHD7eK0769O9q0gbphdILMyYH16w8HQhs2uEBuxw5YutRd07mzu3ejRtCwoVsp6t0bmjaN/HtJ9hWgUgkdBJW4H7cnZzwwBNgJPA38oaRoQSgXcHRA8osyn5cNgqYCVwL3AC2AHGA58JC19vXyN7bWvmWMOQj8DvgbrlLcR8BvrLXaDyQiIiJyjIqLXSns/ftdOexo2rABZsxwqz6lOnWC00+HU06Bbt0iX3Vq3NgFNL17u6+Li11a3bp1LthaswY2b3ZHWbVrw2mnwVlnuTmo/HdkjA0naVGqVVpamk1PT4/1NERERETi3pw58Mkn0S2EsGEDzJsHy5a5rxs2hIsvhp/8BFq3rnRo1BQUwPffu5S7gwfd4ffDt98e3nPUrBmccQacfbZbhYonGzfCqFHQt2/s5mCMybDWpgV7rSasBImIiIhIEvrsM1i40K3IHCtr3V6fDz5wwQe44gUXXACXXeZWbqpTvXpupeeUU448v2cPfP45fPqpC5Def98dPXrAlVfCCSdUft9L/zkMIG57BVUXBUEiIiIiknC++AJmzoQuXY49JWztWpg2za0AgdvrM2iQC4BSUo55qlGVkuKCsksvhR9/dMFQeroL3P76Vzj1VLjqqopTA7uuml29E45TCoJEREREJKEsXw7Tp7v9OeEUIajI9u1uP9FXX7mvmzWDSy6Bc85xKXDxzJjD5bVHjXIrWB9+CKtWwddfu9S9YcOOTt+be9c7sZlwnFEQJCIiIiIJ49tvYcoUt9JRr17k91m6FF57DfLzXVW5Sy6Biy5yq0CJpmFDGD4czj8f3nvP7ZFauhS+/NKtaA0Zcrii3KbTh8V0rvFCQZCIiIiIJITdu+HNN6FDBxe4RCI/H15/3e0nAkhLgzFjqqdRaVVr1gyuvdYFc++841IGFyxwe4iuvBLOPdf1LRIFQSIiIiKSAIqLXQpc7dqRp6pt3Qr/+Q9kZbk0umuvdZXVjInuXGOtdWu49Va3ujV1qutz9NprsGQJPNFzEq1awXeDxsd6mjGlWDAO+f1+jDEhD5/PF+upioiIiFSLTz91TUXbtYts/IoV8OijLgDq0AH+93/d3p+aFgCV1akT3HcfjB8PLVq4stVXzZ3AoMkTKCiI9ewi5/P5wnqvDKRWdA/1CYpD6hMkIiIiclhmJvzrX24fkNdCCIGASw2bM8d93b8/3HRTYu79ORZ5eTBrFoz+cDwW+EO7Sdx0U+iS2pFSnyARERERkQgdPAhvvAHNm3sPgAoL4cUXISPDrfhcdZVLEavJqz8VadAArrkGfkybxH//C9uyXEntgQNhxIjqawIbLxQEiYiIiEhcstat4uzb51K7vMjJgX//2/XPadAAJkyAXr2qZp6JpHt3+O1v4d13XVntL75wQeJ558HQodXfFDZWFASJiIiISFz68kvXE6hbN2/jdu+Gp55y+39atIB77vEeRNVUjfb6AbjyylTOOedwFbn582HZMpcqeMopMZ5kNVBhBBERERGJO5mZMHOmC168lHXets2leZUWQPjNbxQAlXXDbzpyw286AoeryP32t67p6t69Lngs7Z9UkykIEhEREZG4kpvr3og3b+6tIWpmJvztb24l6Ljj4Fe/gpYtq26eiSineQdymnc44lznzvDLX7o9U7Vrw8cfw5/+BH5/jCZZDZQOJyIiIiJx5b334MABbys4GzfCP/7h9gKddBLcdVfyVYALx+THgkc2tWrBZZe5VLgXXnAB0J//DDfeCAMGVPMkq4FWgkREREQkbnzzDaSnQ2qFHV6OtnkzPPmkC4BOPdXtAVIAFJnOneF//sdVjcvPh+eegzffdM1qaxIFQSIiIiISF/btg2nToH378PcBbdvmVoByc6FPH/jpT72X0pYj1a/v9gqNGeP+O3z0ETzxhPvvU1MoCBIRERGRmAsE4O23XVnsRo3CG7N7t3tzfuAA9OwJt9/u9rRIxa76U3+u+lP/kNcZAxdcAL/4hdub9f33bp/QunXVMMlqoCBIRERERGJu2TL47ju3ChSOAwdcCtyePa4IglaAwtNm0zLabFoW9vUnnOCqx51wglsJevxxWLDABauJTIURRERERCSm9u6F2bNdSWtjQl9fUAD/+pdLhevUCe6+26VwSWjTH0z3PKZ5c/j5z12q4kcfwRtvwKZNcP31iRt4aiUoDvn9fowxIQ+fzxfrqYqIiIgcE2vh3Xdd8BNOMYPiYnj2WVi/Hlq1gnvvhcaNq36eNcXOrv3Z2TV0Olx5tWvD6NFw220u8Pn0U9ePaffuKphkCD6fL6z3ykCF5TWMTfS1rBooLS3Npqd7j9JFREREEs3q1fDf/0L37qFXgax1/YM++cQFPr/+dfjpcxI9mzfDv/8Nu3a5FbghQ9z+obKrQhs3wqhR0Ldv7OZpjMmw1qYFe00rQSIiIiISE7m5MH06tGsXXhrcnDkuAKpb1/UBUgDkXf9ZPvrP8h3TPTp3hgcfdNX48vPdf8P/9//g66+jMsVqoT1BIiIiIhITH30EeXnQpk3oaz/9FGbOdMHSbbe5jfpV5eBB2LnTrTwZc7gIgDGuil2tWtCwoVsFqV/fBWXhBHHxoP/shwHIGOY7pvs0aeKKUXz7LUyZAlu3wtNPw003wdlnR2GiVUxBkIiIiIhUu02bYMkS6No19LXffAOvvOI+HzMmuilW+/e7oKegwAU4AM2awcUXw4knuiCndm0X5OTkuCIOO3a4N/27d7sjJ+dwEGQttG4dfpnv6pYx9KGo3q9XL/jDH9wq3axZ7r9Tw4Zuv1Y8UxAkIiIiItWqsNClUKWkhO7rs2kTTJzoApRLLoHBg4/9+bm5bj9LcTGkproeQy1auOAnJcWdC9astWlTl4J38slHni8qcsHU/v2wfTt8+KFbSerQIf6qpx3rClAwtWvD0KEuAJw9G55/Hq65JuqPiSoFQSIiIiJSrT77zK2mhFoF2rHDpVjl58PAgXDVVZE9LxBwPW7273dfp6S4gKpnT7dqc6zq1IGWLd3RrRucdpr7HufPd6+1b5846XLHYuhQF2DOnw9Tp8Kll8a2MEJlFASJiIiISLXZsQPef9+ttlRm3z7XDHX/fhes3Hxz8NWZUHJyXOraCSfAhRe6ICUagU9lGjRwK1Z9+rjy36tWuUAoHkp5t96YARBRmexQjHErQLm5sHSpS5G7+eaoPyYqFASJiIiISLUIBOCddw4XE6hIbi489ZRLKevaFe68062oeH1WVpYbd/PNbu9KdUtJgbFjXRnwGTPc/qHU1NApgFXp6v9zFaMnTayaNjm1arniCC1bwq9+VSWPiAoFQSIiIiJSLZYtg++/h+OOq/iawkJ45hnYssWVzr7nnvCaqJa1b58LOPr0cT1smjQ5pmkfE2NcANatGyxY4IpBNGwIbdvGJkVuR5d+Vf6M2rXdn30kK3fVRUGQiIiIiFS5XbvcKlBlaXCBALz0kguUWrSA++5zxQjClZ8Pfr9Ld6vqMtpeNWrkArK0NHjvPVi71lVQa9aseucx47cZ1fvAOKUgSERERESqVCDg0sHq1q18VWfmTEhPd9fcc4+3Mss7d7qeQ8OGwYAB8VeVrVS7djBunAv0Zs6EDRtcFbn69WM9s+SiIEhEREREqtQXX8C6dZWnwS1aBHPnuhSqCROgU6fw7h0IuNS51q3hjjvCa7waa8a4HkT33++Cvrlz3bkOHZKjilw8UBAkIiIiIlVmxw5XIa2yoObbb+G119znY8eGX8SgsBA2b4Z+/WD4cO97h2Ktbl0480w45RSXKvj11y5dsCq/j7G/dvmIkx/zV91DEkAcb1dKXn6/H2NMyMPn88V6qiIiIiIVysuD1193b+rr1Qt+zc6d8NxzbkXnssvgnHPCu3durguAhg93ZZkTLQAqq1kzF/xdc43789i+veqe1XhfFo33ZVXdA6qBz+cL670yUOEONGNt1ZTHk8ilpaXZ9PT0WE9DREREJGLWuoaZX30FnTsHv6agAB57zAUzvXvDz34WXkWxffvcMXas6yFUk+zaBW++6VL8OneOfoW1RnvdClBuixCNmo7Rxo0walRsm6UaYzKstWnBXtNKkIiIiIhE3dKlkJEBHTsGf91alwK3ebPbx3PrreG94d+xwwVPd95Z8wIgcMUgbrsNzjjDFU3Iy4vu/XNbpFZ5AJQIFASJiIiISFRt3AizZrl9QBUFNp98Ap995tLk7rwTGjcOfd+tW10VtZ/+NPzCCYmoXj1X5e7aa2HbNsjOjvWMah4VRhARERGRqMnOhsmToWXLivcB/fADTJniPr/xxvACGr8fUlJceenmzaM23bjWp4/7Xp97zjUgbdjw2O957ivjAVh046Rjv1kC00qQiIiIiESFta73TX5+xU1A9+2DSZOguBguvBAGDgx938xMaNvWpYklSwBUqnt3Fyhu3Rqd1Liei5+l5+Jnj/1GCU4rQSIiIiISFV9+6QohVNQPqLjYBUB790KPHjByZOh7bt/u9gyNGweNGkVztonj5JNh9Gi3etapU8UrbOH4ZOzE6E0sgSkIEhEREZFjtm2b63XTqVPFDT+nTnVNU1u0gPHjXYpXZfbvd6tLY8cmbwBUqm9f1xdpxgwXFDZpEtl9vhs0ProTS1BKhxMRERGRY5Kf71YpGjVyhQuCWb4c5s93gc/48RWny5UqKIDdu10qWEpK9OeciAYOhNtvhwMHXJU8iZyCIBERERGJWCDg9gFt3w6tWwe/Zs8eeOUV9/nIkXD88aHvuXkzjBgB3bpFdboJ7/jjXT+lxo3dXimvuqycRZeVs6I/sQSjIEhEREREIrZkCSxbVnGFt0AAXnwRcnJcQ9QLLgh9z02b4KyzwiuakIxat4YJE1wz1S1bvI297JnhXPbM8KqZWAJRECQiIiIiEVm7Ft59170Zr6gf0AcfwJo10LQp3HxzxfuFSmVluYpoV1wR+tpk1rCh2yvVsaO3FaGNpw5l46lDq25iCUKFEURERETEs5074bXXoF07qFs3+DWbNsHbb7vPb7459D6gvXvdnqIxYyq+pxzWsKHbM/Xyy66PUmpq6DHz7lYqHGglKC75/X6MMSEPn88X66mKiIhIEsrPdwFQ3bpub0owgYDbBxQIwPnnw6mnVn7PvDxXDe7GG0MHS3JYo0Zw003Qvr3bR5UMfD5fWO+VgQrDQgVBcSg1NRVrbchDQZCIiIjEwnvvuZLYbdpUfM0nn7iVoJQUuOqqyu8XCLiUrlGjXHqXeNOokeuj1KMHbNjg/jxrMp/PF9Z7ZcBf0T0UBImIiIhI2JYtg6VL3T6giuzffzgNbvRoaNCg8ntmZUG/fnD66VGbZtJp0ACuvx7693eBUHFx8OvGTzCMn6DNVgqCRERERCQsW7fC9OlutaaiQggA06bBwYOuGlzfvpXfMzsb6tWDIUNUCOFY1anjVt3OOw82bqz5K0LHQoURRERERCSk/Hx44w1o0qTylZ21a91KUd26cO21lQc2gYDrL3Trre6+cuxq1YJLL4XCQvjsM+ja9ciAddJEG7vJxRGtBImIiIhISO+/Dzt2QMuWFV9TUACvvuo+v/zyyvcMgetxc8YZcOKJ0ZunuKBnyBCXYrhpE1jFPUdRECQiIiIilfruO9cUtbJ9QACzZ7uCCR06wCWXVH7tvn3QvLlbtZDoq13bpcb17Om9oWoyUBAkIiIiIhXavx/eesv1A6psH9CGDW61yBhXsrmyPj/FxbB7tyua0LBh1KcsJerUcX/G7du74BTg0n8O49J/DovtxOKAgiARERERCSoQgBkz3MeK+gGB23/y3/+6tKuLLoLjjqv8vps3w+DBbr+KVK369WHsWBfA7tsHXVfNpuuq2bGeVswlfBBkjKlljHnAGPOdMSbPGLPZGPO4MaaSH9Ujxo82xrxojFlpjCk0xlhjTLcKrj3PGPMvY8wqY8wBY8wOY8wSY8x1xhy97c8Ys7DkfsGOtGP81kVERESq1Pz5sHq1S2+rzJw54PdD27YwfHjl1+7e7VYmzj8/atOUEFq0cKtze/fCrDveYe5d78R6SjFXE6rDPQHcC8wAHgd6lnzd1xhzkbU2VHHAu4CfACuBH4CTKrn2L0CnkmetAhoDY4DXgAuAO4KM2Qk8EOT8jyHmJSIiIhIzq1bBhx+GXq3ZvNkFQaVpcPXqVXxtYSEcOAA331z5dRJ9nTu71LjXXhtG1641Iwg4Fgn9/RtjTgHuAaZba0eWOb8eeAq4FhegVOYmwG+tLTLG/JPKg6DfAIuttYfaTxlj/gEsAG43xvzDWvt1uTE51tpXw/6mRERERGIsMxOmTIHUVLfBviLFxS4NLhBw6W09eoS+72WXhV5Zkqpx+uluJW7uXOjWrfL/tjVdoqfDXQcY4Mly558FcoEbQt3AWrvJWlsUzsOstR+XDYBKzgWAqSVf9g42riRlr1mwlDkRERGReHLgALzyCjRrVnk/IHBvpjdvhtat4corK792507XZPWss6I2VYnA+WsncePBSUnfTDXRg6ABQAD4ouxJa20esKLk9erQqeTjtiCvdQSygX1AtjFmujHm5Gqal4iIiIgn8+ZBbq7bR1IZvx/efdd9fuONlQdMhYWQkwMjR7qKZRI75s4J9H56Ameemdw9hBI9CEoFdlpr84O8lgm0NsZUacapMSYVmIDb47O43MvrgceAW4BrgGeAy4HPjTGnVnRPv9+PMSZqh8/nq5LvXURERGqWDRsgI8OlwVWmNA2uuBgGDYKTQ/x6NzPT9QNq3z5qU5VI3XEH3HEHQ4fCaae5lbx44fP5ovoeGBcrBJXosXgjIFgABJBX5pqCqni4MaYRrkhCY2CYtbaw7OvW2lvKDZlqjHkHWAj8Hbg42H1TU1Px+/3Rn7CIiIhIBYqKYOZMtwJUWT8ggI8+cgFTSgpcfXXl1+7c6YIqpcHFiUmTAKiN+2+3bx9kZcXHPi2fzxfVX94bYyp8Q53oK0G5QP0KXmtQ5pqoM8Y0AN4G0oBbrLWLwhlXct0nwGBjjNqDiYiISFxIT3cNNVNSKr9u+3Z4p6TC8g03VN7stDQNbtQopcHFo3r14PrroVEjVzAhmSR6EOTHpbwFC4Q64lLlor4KVCYAugi4I4LqbxtwAXiIf2ZEREREqt7+/a7IQajVAGtd0YTCQjjjDOgdtCTUYZmZcPHFSoOLK36/O0o0bepKluflQXZ2DOdVzRI9CPoS9z0MLHuyJEjpA6RH+4ElAdcM4BJgvLX2hQhu0wMoApIs5hYREZF4Y63r82Mt1K8ov6bE4sWwdq1743zNNZVfW9oU9ZxzojdXiYKOHd1RRtu2rsfTzp1QUCWbSOJPogdBUwAL3F/u/B24vUCTS08YYzoYY04u2ccTkZIA6G3gUuBOa+1zlVzb3BhzVPV1Y8wQ4Gzgg5IqdiIiIiIx89VXsHx56FWgPXtgaklTkDFjoEmTiq8tKnKrS0qDi0MdOgT9j33ccTBihCuUkAylsxP6r6W1dpUx5l/A3caY6cB7QE/gXuBjjmyU+ihwMzAYV5gAAGPMIGBQyZdpJR/vNsbsLXnGI2XuMRm4DPgQyDXGlO9D9JW19quSzwcDfzfGzMJVjivCrVjdAOzk6MBNREREpFrt2gXTp7v3xJUVQ7AWXn/dpUyddhqkpVV8Lbg0uAsvDF1lTmKgkuJbAwe6fWGffw5du1bjnGIgoYOgEvfj9tiMB4bgAoyngT+UNDIN5QLgoXLnflHm87JBUOmP/EUlR3kPA6VB0BogAxgKtAPqAluA/wD/Z63NDGNuIiIiIlWiqMit7NSpU3lxA3Bls1eudL2Arr8eKmv/vns3tGnjSmdLYjEGLr/cFb/IzIyPinFVJeGDIGttMfB4yVHZdeOAcUHO+wBfmM/q5mFeq3G9gURERETizqJFrsx19+6VX5edDW+84T4fObLy6nGlaXA33gh160ZtqlKN6tZ16Y4vvOBS4zp2DF0yPRHVwG9JRERERCqzcSO8/z507hz62rfeggMH4MQTQxc52LIFLrjgqH33Ek/693dHJZo2hQkTXPW/DRtqZrGEhF8JEhEREZHw5eS4/T2tWoUuWvD117B0qVsduOGGylcE9uxxVcaUBhfnli0L67IGDWD0aOjSBWbNcimOjRtX8dyqkYIgERERkSRhLcycCQcPhl6tyc+HySV1docNg3btKr62uBj27YO77nINOCWOpYffQcYYOPNMF9y++KI7V1MCIaXDiYiIiCSJL790JbHDqdo2a5YrctC5M1wUrBxUGX4/nHsudOoUnXlKFQojHa684493DVV37oTc3CqaVzVTECQiIiKSBLZtc4FNp06VV3cDtyH+o4/cdTfcALWP6nx4WE6OS50677zozlfiS48erqHq9u1uJTHRKQiKQ36/H2NMyMPn88V6qiIiIpIACgvhzTddKexQ6WqBgEuDCwRcYNOtW+XXb9/u0uUaRdyOXqqVz+eOCJx0kqv8l5Xl0iVjxefzhfVeGahwzdNYa6tvxhKWtLQ0m+4hX1NERESkMh9+CAsWhNcA8+OP4bXXoHlzePjhynsI7djh9grdemvNLKNcI5UuAx5DDLBsGUyZ4oomVFQKfeNGGDUK+vaN+DHHzBiTYa0N2tpXhRFEREREarCNG11qW5cuoa/dtw9mzHCfjxlTeQBUXOz2hwwdqgAooTz00DHfol8/lwY5e7ZbKawsXTJeKQgSERERqaEOHnS/sW/ZMrw3qm+95cb07u3e6FamtBhC+/bRmatUkyhtpzjnHNdI9+OPXSCUaIFwgk1XRERERMI1b55rdNq8eehrv/3WVY+rWxeuu67y4gk5OW6VSMUQkpcxcOmlkJYGmzbFejbeKQgSERERqYF++ME1Og3VDwhc4YTXX3efDx0KrVtXfv327TBiROXpchKnMjLcEQW1arm/ByeeCFu2ROWW1UZBkIiIiEgNk5cHU6e6YCacNKU5c1xg06FD6J5A27a5KmG9ekVnrlLN0tLcESV168K117q0yKysqN22yikIEhEREalhPvjA7ddo1iz0tVu3wty57vMbboA6lewYLyx0pZGHDAnda0jiVL9+oTd8edSggSud3aSJqxiYCBQEiYiIiNQg69fDkiWQWmGHlMMCAXj5ZVfp7eyz4YQTKr8+KwsGD4Y2baIzV4mBKKbDldW0KYwb5z7fsyfqt486BUEiIiIiNURurqvw1qpVeNXgPvjA7R1q3hxGjqz82uxs95v+c86Jzlyl5mnVyvWMys11f1/imYIgERERkRogEIC333ZvPsOpBpeZCe+84z6/6SZo3Ljy63fsgGHDoH79Y56q1GAdOsAtt8T/3xP1CRIRERGpAT7/HL76Crp3D31tURG88IL7eO65ri9QZXbsgOOPVzGEGqE0T9Lvr7JHdOsGd94ZOrCOJQVBIiIiIglu82aYNQs6dQqvYMHs2a6kcevWMGpU5dcWF7u+QCqGUENUUwm3446rlsdETOlwccjv92OMCXn4otTxV0RERBJXTg689hqkpEC9eqGv37zZNVE1xm1kb9Cg8uuzsuCss1yak9QAmZnuSGA+ny+s98pAheVBjLW2+mYsYUlLS7Pp6emxnoaIiIjEOWvhzTfh22/Da4oaCMBjj7kKcuefD9ddV/n1eXmwdy/8/OeuKIJIIjHGZFhrgzZF0kqQiIiISIJatQqWLQt/lWbRIhcAtWgBV14Z+vqtW+GyyxQASc2jIEhEREQkAe3dCzNmuH3utcJ4R7dvn7seYPRoaNgw9PVt20a9r6bE2vjx7khyCoJEREREEkwg4AIaY0IHM6XefBMOHoRTTw0d2FgLu3fD8OFQR2W0apZnn3VHktNfaxEREZEEs3QprFkTfgWub7+F9HSoWxeuvTZ0lbdt21zZ7Hiv8CURmDgx1jOICwqCRERERBLIpk2uxHWnTuFdX1QEb7zhPh861JXFrkxhIRQUuL1AUgMpFQ5QOpyIiIhIwjhwACZPDr8cNsBHH7mVnXbt4MILQ1/v98PgwdCq1bHNVSSeKQgSERERSQDFxTBtGuTnQ/Pm4Y3Zswfefdd9PmaMS4erzL590LIlnHvusc1V4tisWe5IckqHExEREUkAH3/s9gF17x7+mOnTXdDUpw+cckrl1wYCrhjC+PHhrzJJAho+3H1M8l6hCoJERERE4tyaNfD++9ClS/hj1q6FL75wqz/XXBP6er8ffvITb0GWJKChQ2M9g7igIEhEREQkju3cCa+/7vb0hFuuuqAAXnnFfX7ppaGLIeTkuNWfiy8+trlKAlAqHKA9QSIiIiJxKy8PXn3VBSiNG4c/7u23Yft210g1nCpv27bBlVd6e4ZIIlMQJCIiIhKHAgEXzOzaFXolp6y1a2H+fKhVC8aNC10MYds2OPHE0HuGRGoSBUFxyO/3Y4wJefh8vlhPVURERKrIF1/AihXh9wMCt3L03/+6Pe+XXw5du1Z+fVGRGzNkSOgGqlJDGJPw/7F9Pl9Y75WB1IruYWySV4aIR2lpaTY9PT3W0xAREZEY2boV/vlPaN/eW6W211+HhQtd4PS//xt6D9Hmza4c9iWXHNN0JZGUBkBJEAMYYzKstWnBXlNhBBEREZE4kp8Pb7wBTZp4C4DWr3dltEvT4EIFQDk50LChegIlnSQIfsKhdDgRERGROPL++64iXMuW4Y8JBNwqkLVw0UXQuXPoMdu3u5YxDRtGPleRRKUgSERERCROrF4Nixd72wcEbszGjdCihdvfE8quXdCtG/TqFcksRRKfgiARERGROLB/P0yd6vYB1fLwDi07G2bMcJ+PHg0NGlR+fSDgnnX55d6eIzXEsGHuSHLaEyQiIiISY4EAzJwJxcXee/XMmAG5udCzJ/TrF/r67dvh1FOhS5fI5ioJbvbsWM8gLigIEhEREYmxZcvg229dipoXP/7oUuFq14Zrrw1d+bi42BVeuPjiiKcqie6dd2I9g7igIEhEREQkhnbscKtAqane2reUFkMAF9S0bx96TFYWnHkmtGkT2VylBlAqHKA9QSIiIiIxU1wM06ZB/fru8GLRIti0CVJS4IorQl9fUOCCrEGDIpurSE2iIEhEREQkRj7/3FV1a9vW27gDB+Dtt93no0eHF0Bt3QoXXADNmnmeptQkkya5I8kpHU5EREQkBrZvh/feg44dvY8tLYbQqxf07Rv6+oMHXT+gn/zE+7OkhpkwwX0cPz6284gxBUEiIiIi1ay4GKZPd4FJvXrexv7wAyxZEn4xBIBt22DkyNDlsyUJ3HFHrGcQF5QOF4f8fj/GmJCHz+eL9VRFREQkAqVpcF4LFBQXw2uvuc8vvhjatQs9Zv9+aNUKTj/d+zylBqoB6XA+ny+s98pAakX3MNba6puxhCUtLc2mp6fHehoiIiJSBXbuhCefdNXcvK4Cvf++K6TQqhX4fOGNX78exo2Dk06KYLIiCcwYk2GtTQv2mlaCRERERKpJIOAKGtSv7z0A2rULZs1yn19/fXjjd+1yvYdOPNHrTKXG8vvdkeQUBImIiIhUk5Ur3Z6ecNLYyrLW9QQqKID+/aF379BjiotdKtyQId76D0kN17FjZNU4ahgVRqgB8vPz2b17NwcOHKC4uDjW0xE5Sq1atWjQoAFNmjQhJSWFWrX0+xcRST7798M774TX1LS85cth1SpX2GD06PDG+P1w9tnQqZP350kN1qFDrGcQFxQEJbj8/Hw2bdpESkoK3bp1o27duqUbwUTigrWWQCBAbm4ue/fuZf/+/XTu3Jk6dfTPj4gklzlzXDpcw4bexuXlwZQp7vMrr4QWLUKPyclxz7ngAq+zlBpPqXCA0uES3u7du0lJSaF169bUq1dPAZDEHWMMtWvXpmnTpnTq1In69euze/fuWE9LRKRarV3rVnMi+SX8zJmwd6/b23PeeaGvt9aVxL7ySmjUyPvzRJKBgqAEd+DAAZqp9bMkCGMMrVq1Yt++fbGeiohItcnNhalToW1b8JoNvGkTLFjg9vSMHRve+K1b4ZRToGfPyOYrkgwUBCW44uJi6tatG+tpiIStXr16FBUVxXoaIiLV5v33XUpbkybexgUC8OqrbmXnggugS5fQYwoLoahIxRCkEv37uyPJJXwQZIypZYx5wBjznTEmzxiz2RjzuDGmcZjjRxtjXjTGrDTGFBpjrDGmWyXXNzfGPG2MySx53jfGmJ+aCvLQjDFXGGM+NcbkGGN2G2PeMsZ0j/DbrWhO0bydSJXS31cRSSY//ghLl0JqhS0bK7ZwoWuompICw4eHN8bvh8GDoWVL78+TJLFsmTuSXE3YmfwEcC8wA3gc6FnydV9jzEXW2kCI8XcBPwFWAj8AFbYSM8bUAz4A+gJPA6uBy4FngHaAr9z1VwNTS+79K6A5cD+wxBiTZq3VzjQREZEaKi/PpcG1bu09DW7PHrcXCODaa11VuFAOHnR7gM480/tcJYmkp8d6BnEhoYMgY8wpwD3AdGvtyDLn1wNPAdcCr4W4zU2A31pbZIz5J5UEQcDtwADgXmvt0yXnnjXGTAMeNMa8aK3dWDKHurhAaTNwrrU2u+T8HCADFzCN9/L9ioiISOL46CM4cAA6d/Y+9s03XRB1+unQp094Y7Ztg5EjvVefkySjVDgg8dPhrgMM8GS5888CucANoW5grd1krQ13g8L1Jfd9ttz5J4G6wJgy584DUoHnSgOgkuetABYCY0oCJREREalhNm2CRYsiS4NbtcplK9Wv71aBwrF/v1txOv10788TSUaJHgQNAALAF2VPWmvzgBUlr0eFMaYW0A9YXnL/sr4omUfZ55V+/lmQ2y0FmgEnRmt+IiIiEh8KCuCtt9y+nNq1vY99/XX3+bBh4e/t2bkThg4FtWCTkHw+dyS5RP9RSQV2Wmvzg7yWCZxljKlnrS2IwrNSgIYl9z2CtTbfGLML6FhubgS7vsy5jsA35V/0+/1hbx6fM2cOOTk5lV6TmppKaiS/ihIRERHPPvkEdu+Grl29j509G3btgk6dwm90umMH9OjhDpGQHn7YfYzDQMjn8/Fw6fyio8I3wIm+EtQICBYAAeSVuSZazyLE88o+q7LrK51bamoq1tqwjq5du5KWllbpkewBULdu3TDGYIzh3XffrfC63r17Y4xh4cKFFY6v6Hj77bcBWLduHcYY6tSpw/79+4M+589//vOhcZ9//nnQa2bPno0xhg4RdNWbO3cuF110Ea1bt6Z27doYY3jmmWc830dERLzz+11fn44dQ19bXmYmfPDB4Z5A4awiFRdDTo5KYosHDz3kjjjk8/nCfg8czgFUWIQs0VeCcoG2FbzWoMw10XoWQP1Knlf2WZVdH+25SZj+93//l8svv5xaXsv0AJdeeint27cP+lqXkuYNJ5xwAp06dWLLli0sWrSIIUOGHHVt2SBr4cKF/OQnP6nwmsGDB3ua47x58xgyZAi1a9dm8ODBtG/fHmOM5/uIiIh3RUUwbRo0beo9La2wEF54wfUGGjQIjjsuvHF+P5x7LlTwvyeRo8XhClAsJHoQ5Ad6GWPqB0mJ64hLlYtGKhzAHuAgR6a8AWCMqQ+0Aj4uN7fSeawOMjcInionVaRRo0asWrWKyZMnc+ONN3oe/z//8z+cf/75Ia8777zzmDx5MgsXLjwqCCoqKmLJkiWccsoprF27loULF/Kb3/zmqHt8/LH7qxTO88p6+OGHCQQCTJ48mWvD3U0rIiJRsWgRZGVBt27ex86cCVu2uOIGI0eGvh5cSex69eC887w/TyTZJXo63Je472Fg2ZPGmAZAHyBqhdBL+g0tw/UfKr+6M7BkHmWf92XJx2DV+s8A9gNrozU/Ce3ee+8F4KGHHqKgIFqx8dFKA5fyaXUAGRkZZGdnc9lllzFgwACWLFlCUdGRxQn379/P8uXLAW8rQXv27GHp0qW0aNGCa665JuL5i4iId6WpbJGkwa1e7cbWqgW33RZeTyBwAdewYa43kEjYMjLckeQSPQiaAlhcA9Ky7sDtt5lcesIY08EYc7Ix5lj+qXi95L7l+/vcDxQBb5Y59zGQBdxujGlSZh6nA+cDb1lrC49hLuLRyJEjGThwIOvXr+c///lPlT2nNHBZvnz5UfuCSld4zjvvPAYNGsSBAwfIKPcP0eLFiykuLiY1NZUeYexyXbNmDcYYWrZsibWWvXv3UqdOHYwxNGrUiEAgVL9gERE5FqXV4Jo3h7oem19kZ8NLL7nPhwwJPw1u1y7o0gVOO83b80RIS3NHkkvoIMhauwr4F3C1MWa6MeZ2Y8zjwN9xQUjZRqmP4tLSyq8aDTLG/M4Y8zug9G/E3WXOlfUsrtHp340xj5c8bzpwNfBna+36MnMrBO4DOgOLjDF3GWP+B3gf2AHE5460Gu7Pf/4zAH/605/Izs4OcXVkjj/+eDp37kxxcTGLFi064rWFCxdSq1YtzjnnHM4ryV8ov2LkdT9Qfn4+N998M31Kuun169ePm2++mZtvvpkHHnggov1PIiISvoULXYW2lBTvY197DfbuheOPh8svD29McbHrCzRihFs9EvGkXz93JLma8KNzP/BL4BRcQHQt8DQwtCSFLZQLgD+WHKU71H9R5twhJfuLLgIm4hq1/gs4GbgH+EP5G1tr3wKG4yrE/Q34DbAIONtaq/1AMTB48GAuueQStm/fzuOPP15lzykNcEpXfgCKi4tZsmQJp512GikpKZx99tnUrl37iGvKjgl3P9Bpp53GSy+9xOklHfJ+9atf8dJLL/HSSy/xpz/9KQrfjYiIVGTzZlcNrlMn72NXrnRZSfXrwy23hN9TKCsLzjorstQ7EaXDOQkfBFlri621j1trT7LW1rfWdrTW/txam13uunHWWmOtXVjuvK/kfNAjyPP2Wmvvttamljyvl7X2n7akDl+Q62dba8+w1jay1qZYa0dZa3+I6h9CJYxJzKMqPfrooxhjePzxx9mxY0fY4wYPHhy0PPa4ceOOujbYvqBly5axf/9+Bg0aBEDTpk3p27fvofQ3gOzsbJYtW3boeV6UptX179/f0zgREYlMURHMmAEtWnhvinrw4OGmqMOHQ5s24Y+rWzf8HkIiElyiV4cT8axfv36MHj2aKVOm8Kc//Yknn3wyrHEVlcg+55xzjjpXGsCUBj7NmjU7FBCdV6aMz6BBg0hPTycjI4OBAweyaNEiioqK6NSpE8cff3zY39PBgwdZvXo1zZo144QTTgh7nIiIRC49HbZujawa3Ntvw549bqyXgGbrVhgzBho39v5METlMQVANF3x9Sh555BGmTZvGf/7zHx544AG6htHWO9wS2QDHHXccXbp0YdOmTSxevJgrrriCjz/+GGPMoZUgcAHR3//+dxYuXMjAgQMPpcJ5XQVauXIlxcXF9OnTB6NueSIiVW7/fpg7FyLoac2PP8LHH7v9PDfcEP6+np07XdCkYghyTFJT3Ud/hX1Ek0LCp8OJROKEE07g9ttvJz8/nz/84ajtXFFRtvBBcXExixcvplevXrRu3frQNeeeey7GmEOrRKUfvfYHKk2h61fBRsfs7Gzuvfde2rZtS7NmzfjZz37GjBkzMMawa9euQ9dNmzaNiy66iHbt2tGwYUN69+7NG2+8ccS9FixYwIUXXkjr1q1p3Lgxp5xySpVW2xMRiUfz5rlfNNavqIV6BYqK4JVX3NiLL4bOncMbV1zsKskNH65iCHKMsrLckeT0YyRJ6w9/+AONGjXi1Vdf5euvv476/cvuC1qxYgX79u07YhUIICUlhVNPPZXFixezb9++Q/t6It0PFCwIKioq4vLLL2f69Ok88sgjvPXWW6xbt45f/OIXdOrUiVatWh269quvvmLUqFG8+uqrzJo1i/PPP58bbriBb7/9FoDPPvuMyy+/nH79+vH6668zffp0brjhBup4bY0uIpLA1q+HZcsiWwV6/333C/g2bWDo0PDH+f1w9tmRPVPkCJmZ7khyeuciSatDhw7cd999PProozz44INRv3/ZfUGzZs0CjtwPVGrQoEF89dVXPPXUUxQVFdGlSxe6d+/u6VmVrQQ9+eSTfPHFF3z99deH+g7179+ftm3bMrTc/4EffvjhQ58XFxdz/vnn8/zzz/P555/Tq1cvXnvtNc466yz++te/Hrru0ksv9TRXEZFEVlAA06dDy5beV2S2bYN333Wfjx0L9eqFN+7gQbfi5PH3YyLBlabDJTmtBMUhv98ftApZ+cPn88V6qgnvN7/5DS1btmTWrFmsX78+9AAPunfvTteuXSkuLuapp54COGolCA4HRk888QTgfRUoPz+fb775hkaNGnHyyScf8Zq1lieeeIK77rrriMarrVu3plmzZod6C5Xe5+mnn6Zv3740b96cOnXqULduXfLy8mjSxPX7bdSoEUuWLOFPf/oTGzZs8DRPEZGa4JNPYPdu1xjVC2vh1VddOtyZZ0LPnuGP3brVrRo1OpZ27yI1iM/nC+u9MlBhxKcgKA6lpqZirQ15KAg6ds2bN+d//ud/AMjNzY36/UsDnD179nDiiSfSIUgeQ2lgtGfPHsD7fqBVq1ZRWFjIaaedRu1yNVq//fZb/H4/I0aMOOJ8Tk4O+/btOyIIGjFiBH/84x+55pprmDJlCl988QV/+9vfAOjVqxfgUgjvuecennrqKbp3784ZZ5zBggULPM1XRCRRZWbC/PmR9edZsgTWroWmTWHUqPDH7dwJXbqoGIJE0fjx7khgPp8vrPfKQIXVHxQESdK755576BRJl7swlF3VCbYKBNC2bdsjVnC8BkGV7Qfyl1R+adu27RHnSwsw9O3bF4BPP/2UefPmMXnyZB588EEuu+wyBgwYwA8//ECDBg0Oza9x48b87W9/Y+vWrSxZsoSioiKuuuoqAoFw+hKLiCSuoiKYNg2aNQOv2yD373djAUaPhpLF9ZCKi+HAARVDkCh79ll3JDntCZIaL1TaVoMGDdi8eXPE4yszbty4oM1Uy1u9enXEz5gwYQITJkwI+lppJbrvv//+0GpOUVERf/zjH2nevPmhvUel33/ZYOzbb7/lxRdfpHfv3ketMBljOOuss7j22mt56KGHVJZbRGq8JUsi7wn01luQmwu9esGAAeGPy8qCs86KbOVJpEITJ8Z6BnFBQZBIDda7d2+6d+/OL37xC4qLi6lfvz5PPvkk33///aFVIHCrSLVr1+bnP/85d955J6tXr+bJJ5+kYcOGh1Lmxo8fT+3atTn//PNp164dy5cv549//CM/+9nPFASJSI22daur6hZJMLJmDXzxBdStC9dfD+H+c3nwINSurWIIUgUSPBUuWhQEidRgdevWZdq0aUyYMIGxY8ceCoj27t17RHpejx49ePbZZ/n973/PnDlzOPfcc5k2bRpnnHHGoSCoZ8+eTJkyhSlTplBQUECPHj3429/+xm233Raj705EpOoVFsKbb7q9PHXrehtbVASvv+4+v/xyVxY7XFu3ur1D4abOiYg3pmTTkMSRtLQ0m56eHta1q1evpqeXEjOS9N577z1GjBjB6tWrOeGEE2IyB/29FZFE8eGHsGABdO3qfezcuTBjBrRtC3/4Q/hB1O7dLui68063GiQSVSVtOxg2LLbzqAbGmAxrbVqw17QSJFKDLVq0iIULFzJw4ECstSxcuJCnnnqK3/3udzELgEREEsWmTfDRR9C5s/exu3cf7gl03XXhB0CBAOzbBzfcoABIqsjw4e5jki+EKAgSqcFyc3OZMmUKjz76KNZaTj31VCZOnMiNN94Y66mJiMS1vDyYMsU1RfVaDQ7c2IIC6N/fFUQIV1YW/OQnUEVFS0Vc0ylRECRSk1166aVceumlsZ6GiEjC+fBDtyLTpYv3satWwYoVUL8+XHNN+ONKiyFcdJH3Z4qErTQdLsmp6ryIiIhIGT/+6EpiR1INrqAA3njDfT5sGKSkhD9261Y3RsUQRKqegiARERGREgcPumpwrVpFtidn7lzYuRNSU+GCC8Ift3On60F0+unenyki3lVpEGSMucMYM8kY4+H3ICIiIiKxMWeOa2zarJn3sdu2wbx57vPrrw8/iCouhuxst1+9ln49LVXNmPAbVtVgVf2jdhNwobV2T+kJY0wnY8wiY8xOY8wsY4xKVJXj9/sxxoQ8fD5frKcqIiJSY6xd6xqbpqZ6H2utS4MrKoIzz4QePcIf6/fDoEHQoYP354okI5/PF9Z7ZaDCn+aqDoJ6AJ+UO/dn4GygELgC+NgY46F9WM2XmpqKtTbkoSBIREQkOnJy4K23XE+fSFZjli+Hb7+FRo3g6qu9PbdhQzjvPO/PFImItQlfHtvn84X1XhnwV3SPqg6CWpR9uDGmEXA18BEuMjsXaAP8pornISIiIlKhOXNcUYNIihKUltMGuPJKb6l027e7NLiGDb0/V0QiV9VB0FageZmvLwbqA09a51PgXUAFy0VERCQmVq+G9PTI09Fmz4a9e6FrVzj33PDH7dgBxx/vrY+QiERHVQdBX+MCn1JjgHzcSlCp74CuVTwPERERkaNkZ8O0adCuXWRpcJmZ8NFHbp/59deHf4/iYleAYehQFUOQajZsmDuSXFU3S/0HMM8YMwMX7IwGZltr88pc0wq3P0hERESkWr37LhQWQuPG3sdaC6+9BoGA29PTrVv4Y/1+t2rUvr3354ock9mzYz2DuFClQZC19gNjzF+AXwMjgBzg4XKX9QKyqnIeIiIiIuWtXu0KGngJXspauhTWrYOmTWHEiPDH5eRAgwYqhiAx8s47sZ5BXKjqlSCstf9rjHkG6AmsstYeCniMMV2BM4HXqnoeIiIiIqVycmD69MjT4HJyXBodwMiR4a8kWev6Cd14o4ohSIwoFQ6ohiAIwFq7Gdgc5KWWwMvAjOqYh4iIiAi4pqb5+dAmwiYdM2fCgQNwwglwxhnhj9u6FXr3VjEEkVirliCoItba5cAtsZyDiIiIJJd16+DLL101t0hs3AiffOJWkK6/3hVFCEdents/NHRo+GNEom7SJPdx/PjYziPGqjwIMsacAdwAdAQyga+AZcBX1tqCqn6+iIiISKmDB10aW+vWkaXBBQKuGIK1cNFF0LFj+GOzsuCqq6BFC+/PFYmaCRPcxyQPgqq0KKMx5kLgY+AuXGGEnwL/Bj4HDhhjlhtjnjfG3FWV8xABOHDgAH/9618ZNGgQbdq0oV69erRv355LLrmEiRMnUlAQ3Zj8vvvuwxjDJ598EtN5iIjIYfPnu7LYTZtGNn7RItiwwQUyQz10OdyxwxVgSEuL7LkiUXPHHe5IcsZaW3U3N2Y+MAC4BFiBqw43F8gFhgD1AANYa23tKptIgklLS7Pp6elhXbt69Wp69uxZxTNKfAsXLmTMmDFs376dJk2acNZZZ9GqVSu2bt3KZ599Rl5eHieccAIzZsygd+/eUXlm165dOXjwIFlZWdSuXTtm84hH+nsrIrGwaRP8+9/QpQvUjuBdx7Zt8MgjUFDgfonev39444qLYfNmuPdelcQWqU7GmAxrbdBfPVR1e67ewExr7WfW2oMl55Zaa0cBpwHfAFNx6XIiVWLRokVccsklbN++nd/85jds27aNefPm8dprrzF//nz8fj+33nor69at45xzzmHNmjXH/Mwvv/ySTZs2MWLEiEMBUCzmISIiTmGhqwbXokVkAVBxMbzwgguABgyAfv3CH5uZCeefrwBIJJ5UdRDUGNhY5msL1Aaw1n4PDAcuB3ZX8TwSit/vxxgT8vD5fLGeatzLzc1lzJgxFBYW8v/+3//jz3/+M40aNTrimpSUFJ5//nnuuOMO9u3bx7XXXsuxrpBOnz4dgKuuuiqm8xAREWfxYpeSlpIS2fjZs10aXMuW3oohZGdDo0YwaFBkzxWJOr/fHQnM5/OF9V4ZSK3oHlUdBGUBrcp8fQA49M+PtXYDMBv4ZRXPI6GkpqZirQ15KAgK7fnnnycrK4sTTjiB3/72t5Ve+/jjj9O8eXNWrFjBrFmzjum5M2bMoFmzZlx00UUxnYeIiLiy1B9+CKkVvh2q3Lp1MGeOC3xuucUFNeGwFrZvhyuvdM1RReJCx47eKnrEIZ/PF9Z7ZaDCaK+qg6BlwEllvl6HS4MrayOgbYJSJd4p6Yp8/fXXUytEGaCmTZsyoqTl9zvH0E3522+/Zc2aNQwZMoR69erFbB4iIuLS2N5+2wUudet6H5+XBy++6AKaSy+FE08Mf+y2bdCzpztE4kaHDu5IclUdBM0FzjHGtCr3ddlM2nOBoiqehySpVatWAdCnT5+wrj/99NMB+PrrryN+ZvlUuFjNQ0REID3d9fWJtCnq1Kmwcyd07gzDhoU/rqDA7UNSTyCJOzUgHS4aqjQIsta+AHQGCktOPQnsBRYaY940xiwDzgA+qMp5SPLavdttN2vWrFlY15det2fPniPOf/DBBxhj2LRpU8h7TJ8+nQYNGnD55ZdHfR4iIhK+vXvhvfci/6X3N9+4kth16rg0uDoeuitu2QJDhkCrVqGvFZHqV9UrQVhrt1pr95d8vhO4DLdXaBTQB1gKPFDV80hmlW0Ym1TaNRiYNGlSqM1lh/Tv37/C68aXab6VkZFR6T0zMjIOXTt+/PijnnOsWpR0pNu7d29Y15cGHSnlds6uWLGCVq1a0aVLl0rHb9iwgeXLl3PxxRfTpEmTqM9DRETCY60rZlCrVmT7cXJz4eWX3efDhnnbQrF9O5xwAgwc6P25IlI9qjwIKs9am26tPQk4EehqrT3bWrutuuchyaF79+4ALF++PKzrS6/r2rXrEedXrFhBvzDqoZamwl199dVVMg8REQnPt9/CqlWRl6WeMsWtJHXvDhdfHP64/HyXCnfVVS4AE4k7/fuH3+SqBovZj6e1dp21dnOsnp9MKquaUXbVZvz48aEqbBySkZFR4XVlV5f69+9f6T37l/khnDRpUtRLQg8rSeCeOnVqyHtnZ2fz7rvvHjGu1PLlyznttNN45JFH6NKlCykpKYwdO5Z9+/Ydcd306dOpU6cOw4cPr5J5tG/fnoceeohHHnmEzp0706RJE2677TaKi4tZunQp559/Po0bN+a0004LO+ASEalpcnJcMYT27SPbj7NyJSxd6gopjBvnra9QZqbbB6Q0OIlby5a5I8lVaRBkjPmnMeY2Y0w/Y0y9qnyWSDC33HILTZs2Zc2aNbxcmtdQgb/85S/s37+fjh07cuWVVx46f/DgQdauXcvrr7/O5s2befHFF/H5fEyfPp1f//rXh67btm0bn332GYMGDaJly5ZRn8f27dvZtm0bL774In6/n+eff5777ruPF154gbvvvpsJEyYwfvx43njjDfbv388DDyjLVESS07x5bkWmcWPvY7Oz4dVX3edXXultJak0DS5NNW8lnqWnuyPJedjiF5G7cA1SAYqMMauB5bjS2cuBFdba7CqegySxjh078pe//IW77rqLu+66i759+3LaaeWrtMPcuXP5v//7PwD+/e9/H7GfZ9WqVRQXF3PllVfyr3/9C4ALL7yQdevW8cYbbzBx4kQA3n77bQKBwFGpcNGax8qVKwG46aabeOSRRwC45JJLePrpp3nnnXdYtWrVoeBr+fLlh+YqIpJMfvgBPv/cpbFF4vXXYf9+6NEDLrgg/HGFhXDwIAwfrjQ4iXNKhQOqPh3uVGAKYIC6QG/gZuAfwMfAXmPMd8aY/xhjzqviuUiS+ulPf8oDDzxAbm4ul112GfPnzz/i9ddff53Ro0cTCAR48skng6bC1a9fn9/97ndHnO/duze7du0iEAgALhXOGHPE6k0057Fy5Urq169/xOpTUVER+fn5/OxnPzti9enAgQOHijGIiCSLvDyYNs2Vw44kEMnIcL8gr18fbr7Z2z38fhc0tW3r/bkiUv2qOgjqB4wG7gdSrLV1gHbAtcCXJc9PAW4H5htjPjDG6J8PiYqdO3cybtw4xo0bx+7du2ncuDFZWVlcfPHFzJ07F4CJEydy/fXXc+DAAdq2bcvy5csPjSm1YsUK+vTpQ4dyNVa3bdtGamoqtWrVYu/evSxYsICBAwfSsVwJoWjN46uvvmLAgAFHlNn+9ttvKSgo4MILLzzimV999RW9e/eOxh+jiEjCWLgQ9u2DMLsRHGH/fpg82X0+cqS3vkL790OLFnDuud6fK1LtfD53JLmqTof7X2C6tfap0hPW2h3Am8CbxpgngYuA84DrS66fb4wZaK3NreK5SQ2XnZ3Nf//736POBwIBtm7dCkBWVtah89u3bz/i+pdeeglwQVCwKm3Tpk3j4pKSQbNmzaKwsDBoKly05rFy5UoGDRp0xD1WrlxJrVq1OPXUU486f9dddx31TBGRmiozEz7+GEJ0MgjKWhcA5eRAz55Q7p/aSgUCsGsX3H471NPuZ0kEDz/sPiZ5IFTVK0HdgXWVvP4AUAxcb639AzAO6AXcW8XzkiTQrVu3CqvSla6w+Hy+SqvhBQIBvvrqK3744Ycj7j1t2jS+/vpr7r//fuBwaeyrrrqqSuZRWFjI6tWr6dOnzxH3XrFiBSeeeCKNGjU6dG7btm1s27btqGtFRGqq4mKYMQOaN/dWya3U55/DihWun9BNN3mrKOf3Q9++cPzx3p8rEhMPPeSOJFfVQdAW4IyKXrTuHd48YEzJ15NxRRNGVfG84prf76+0wWjp4UvyCL46rF27ltzcXHbt2sUvf/lLFixYwGOPPcZNN92Ez+fj9NNPB+DMM8/kr3/9Kz169KiSeaxevZrCwsKgQVD5c6UFFErnJiJS06Wnu5WgcoU5w7JnD7zxhvt89Ghv9zh40AVdl13m/bkiMVMD0uF8Pl9Y75WB1IruETIIMsZcboyp8AYhvAGcZ4yZUMk1LYCyi9efAydF+LwaITU1tdLeOqWHgqCqt2LFCmrXrs0HH3xAeno6l19+Oc8//zxPPPEEv//97w9d9+tf/5pf/vKXVTaPlStXUqdOnaP2+axcuTJoENSiRQs1WhWRpLBvH8yZA+W2bYbFWnjlFRfMnHoqnHWWt/Fbt7qeQJHsQRKRyFWWQVMum8Zf0T1MqMaNxpgAEABOtdau9jJBY0xj4DPgFOAl4C/W2rVlXu+LqxK321rbreTcX4GfWWsbHXXDJJGWlmbTw6zfvnr1anr27FnFMxKJLv29FZFomTIFVq+G1Ah+Xbt4sQuCGjVyvxhv3jz8sTt2uOIJt9+uktiSYDIy3MckKJVtjMmw1gbt3BVuYQRTcpS96S+Ar4EF1tqCYIOstTnGmEHAf4FbgHHGmE3AJtwK0Cm41aj/V2bYccDOMOclIiIiSWrdOreXJ5KF71274K233OfXXectACoshNxcGDFCAZAkoNJuviEWQmq6cIKgfKBekGv/ilshOg34tqLB1tq9wAhjzIXABOBC4NySsT8Cf7XWPgtgjGkJXA685+m7EBERkaRSUOCKIbRq5T0QCQTgv/91fYX69oUBA7yNL+0J1K6dt3EicaFfv1jPIC6EEwTtADoCxwNflXst7Pop1tqPgI8AjDFNgIIgK0j7gXMAlccWERGRCi1a5PYDRVIS++OPYc0aaNIErr/eWzW4ffsgJUU9gSSBlabDJblwfnfyBS7Y+a0xJiq/87DWZgdLobPWFllrl1lrv4vGc0RERKTm2b4d5s+PbB/Q9u1Q0tWAsWO9FTUo7Ql09dXqCSSS6MIJgv5T8rEvsNEYM8cY87syryd3QqGIiIhUm0AAZs6Ehg2hjseW76VpcAUFLgXOa1ZQVhYMHAjHHedtnIjEn5BBkLX2Q+A3uKam9YBLgIfLXPKFMeZTY8wzxpjxxpiBxpgGVTPdoxljahljHjDGfGeMyTPGbDbGPF5SmS7ce1xR8j3kGGN2G2PeMsZ0D3LdQmOMreT4wMP1QStViIiISMW++gp+/BHatvU+9qOPXDGFZs1cMQQvcnNd0HXJJd6fKxJXUlMjW0atYcL6HYq19q/GmBnAeFwQVLZZSWNcQ9SflDkXMMZ8D6woe1hrtx/7lI/yBHAvMAN4HOhZ8nVfY8xF1tpAZYONMVcDU4GVwK+A5sD9wBJjTJq1tmx98T8BzwW5zRhgKDAryGs7gQeCnP+xsnmJiIjIkfbvh3fegfbtvY/NyoK333af33gjNA77V6XOtm1w7bVuH5FIQsvKivUM4kLYC8nW2nXAr4FfG2MaAdm4VLhXcd1YTwdalVxeGzgZ1/R0TOk9jDHbcAHRcmvtb4918saYU4B7gOnW2pFlzq8HngKuBV6rZHxd4GlgM3CutTa75PwcIAPw4QI/AKy1HwS5DSXpgfm4P4vycqy1wc6LiIiIB3PmQHGxS4XzorgYXnoJiopcQ9TTTvM2futWOOkk7+NE4lJmZqxnEBciqm5vrS1bve3P1tqLrLVtgC7AcOAh3MrMBg73GDJAe+Ay4H+OYc5lXVdy3yfLnX8WV2HuhhDjz8MFcM+VBkAA1toVwEJgTEmgVCFjzLm4YG+GtXZ3BdfUMsY0M8ZL/RkREREp9d13sGwZdOjgfey8ebBhg6vqNnq0t7EFBa4v0PDh3qrIicQtpcMBHlaCgngJl3p2qMqbtXYLsAWYXXrOGNMM6FNy9C35GK1W8QNw/Ya+KHvSWptnjFlR8nqo8QCfBXltKXABcCLwTSX3uK3kY7A0OXDlxbOBhkCuMWYe8KAq4ImIiIQnN9dVdGvXzntPoMxMmF3yruSmm7yvImVmugCoZUtv40QkvkUcBFlrbw3zuv3AJyUHAMaYYwm+ykoFdlpr84O8lgmcZYypF6wcd5nxpdcGGw8uiAkaBJUEeNcA64H5QS5ZDyzB9Vcqxu2buhu40BhzjrV2VbD7+v1+wl00mjNnDjk5OZVek5qaSqoifhERSVAffAAHD0Lr1t7GBQLwyisuHW7QIOjVy9v4nTuhUydXEU6kxhhfstNj0qTYziMIn8/Hww8/HPrC8FX4BjhawYgn1tqiKN2qEW4vTjB5Za6pKAhqVPIx2D3yyl0TzHUlr79grT2qVLi19pZyp6YaY97Bpdr9Hbg42E1TU1Px+/3BXjrK6tWr6dkzWgtrIiIi8WXDBli6FLp29T528WJYvx5atHC9fbwoKoLsbLjlFqhd2/uzReLWs8+6j3EaBPl8vqjdzxhT4RvqmARBUZQLVFQks0GZayobD1A/wvG34VZ4XqzkmiNYaxcZYz4BBhtjGlprD4Y7VkREJJkUFMC0aS4VzWsa3P79MGOG+3z0aO9pcH4/XHBBZHuQROLaxImxnkFcSPQgyA/0MsbUD5IS1xGXKlfRKlDp+NJrVwcZD8FT5TDGnIrbU/SutdZrmY0NwPlACqAgSEREJIhFi2DXLujWzfvYadPcXqJTTvHeFDU725XCPucc788ViXvjx4e+JglEVB0ujnyJ+x6OyNYtadbaB0gPYzzAmUFeOwPYD6ytYOztJR8rKohQmR5AERC0mpyIiEiy27YN5s+Hjh1DX1vemjUuha5uXdcU1UtVN2th+3YYMQIaVFvrdxGpbokeBE3B9Sq6v9z5O3B7dSaXnjDGdDDGnFzS46jUx0AWcLsxpkmZa0/HrdS8Za0tLP9QY0x9YCywjTKV8Mpd09wYc1QWsTFmCHA28IG1Nu/okVIVXnjhBYwxRxy1atUiJSWFCy64gOnTp8d6iiIiUiIQcI1NGzVygYwXhYUwueT//pdfDm3aeBu/fTucfLI7RGqkWbPckeQSOh3OWrvKGPMv4G5jzHTgPVz57XtxAU7ZRqmPAjcDg3GFCbDWFhpj7sMFU4uMMc8CzYAHgB24fkfBXIlrDPtYJUUeBgN/N8bMAn7ErfwMxPUu2snRgZtUoWXLlgFw2mmn0bdvXwBycnL48ssvWbBgAQsWLODvf/87DzzwQCynKSIiQEaGK4jQvbv3se++61aR2reHSy7xNrawEPLyYMgQ9QSSGmz4cPfx6JpeSSWhg6AS9+P22IwHhuACjKeBP1hrA6EGW2vfMsYcBH4H/A1XKe4j4DeV7PUp7Q30fCW3XgNkAEOBdkBdXA+l/wD/F8E+IjkGpUHQ3XffzR133HHofEFBAaNHj2bmzJn84Q9/4K677qJ+/WB1MkREpDrs3esCmUgKEmze7BqjGgM33uh9FSkrCwYP9r56JJJQhg6N9QziQsIHQdbaYuDxkqOy68YB4yp4bTYVpLVVcH3I3y1Za1fjeghJjAUCAb766isAevfufcRr9erV48EHH2TmzJlkZ2ezbt06TjnllFhMU0Qk6VnrsnRq1fK+H6e4GF5+2aXSDR4MJ5zgbXx2NjRtCuee622cSMJRKhyQ+HuCREL67rvvDjWUDRbgdCyz61arQCIisbNqFXzzDbRr533shx/Cpk2unPaVV3obay3s2OGKIeh/AyLJQUGQ1HilqXBdunShWbNmR73+/fffA65J7fHHH1+tcxMREefAAZg50+3l8bofZ+vWw7/cHjvW+yrStm3QqxecdJK3cSKSuBQESY1XGgSVT4UDsNby6KOPAvDII49gtBNWRCQm5syBoiJXEc6L4mJ44QVX1ODMMyHIP/WVKix0TVmvuELFECRJGKO/7CgISg7B/rIPG+bOlc0LnTTJnSvbRMvvd+dSU48c37+/O5+Rcficz+fO+XyHz2VkuHP9+x85PjXVnff7D58bP75KfiiDBUGFhYVkZGQwfPhwPv/8c1544QVuueWWI8a99NJLR5XVNsZw9913H/WM77//nssuu4wmTZrQpk0b7rnnHnJzcz1fIyKSjNasgWXLIiuGMHs2bNwIrVrBmDHex/v9cPHFbryIJI+EL4wgUhlrLStWrADgscce47HHHjvi9bZt2/Lxxx9z+umnV3iPuXPn0rx580Nft2/f/ojX9+7dy+DBg+natStTp05l+/bt/PznP2fHjh288cYbYV8jIpKMcnNh2jRo29YVRPDihx/cCpIxMG4cNGzobfyePW4P0ZnBWqaL1FRJXhq7lIKgOOT3+8NKy3rooYcYE86vvYL9ZQ9WGWT8+CNXgcCt2AQbX3YFqJTPd+QqELgVoGDjy64AlZo0yR1R9MMPP7Bv3z4Arr/+eurWrUtxcTHr16/n008/Zfv27Vx99dV899131K2glmr//v1p3bp1hc+YOHEie/bsYcWKFYeuq1OnDmPHjuX3v/89p5xySljXiIgkow8+gIMHoZJ/ZoPKy4MXX3T/i7nkEjjxRG/ji4pcOe677oJ69byNFZHY8vl8PPzww+FcmlrRC0qHi0OpqalYa0MevvIBhxylNBWuXbt2TJ48mZdeeolXXnmFxYsXM2PGDIwx/Pjjj7z99tsRP+O9997jwgsvPCJQGjlyJPXr12fOnDlhXyMikmx+/BGWLoUyRTrD9tZbrqJbp06Hez96sWULXHghdO7sfayIxJbP5wvrvTIQ5LfujoIgqdFKg6ABAwYc9dqIESO4pKSd+GuvvVbhPXr37k3t2rXp3r07Dz/8MEVFRUe8vnr1anr16nXEufr163P88cfz3XffhX2NiEgyyctzaXAtW3pPg1u5EhYvhjp14NZbvTdF3b3bVaE77zxv40RqhGHD3JHklA4nNVplQRDA7bffzrx585g3bx65ubk0KlOWqEOHDjz88MMMHDiQ2rVrM2fOHP74xz+yfv16XnrppUPX7dmzhxYtWhx175SUFHbv3h32NSIiyWTBApeO1rWrt3H798Mrr7jPr7rK+ypSYaG7x003eQ+eRGqE2bNjPYO4oCBIarTly5cDMHDgwKCvX3755TRs2JCDBw/y/vvvc2WZDnuXXnopl1566aGvL774Ypo3b47P5+P3v//9ET2Fgu3hstYecT6ca0REksGmTfDxx94DIGvh5ZddT6GTT4YLLvD+7MxMVw2ufNFTkaTxzjuxnkFcUDqc1FibNm1i586dAKSlpQW9pnHjxlx22WUAYe0LGj16NHB4hQncas6ePXuOunbv3r2kpKSEfY2ISDIoKHD7eVq2hNq1vY1dvBhWrXK9hMaN855Gt2uXK8N97rnexonUKEqHAxQESQ1WugrUvXv3Squ7jRo1CoDZs2dTXFxc6T1tkEp3PXv2ZPXq1Uecy8/P54cffuDkk08O+xoRkWTwySduT06QDOFK7d4NU6e6z6+7Drz+/qiwELKzYdQot5dIRJKbgiCpsUaMGIG1lh9//LHS666//nqstezcuZPaIX4tOWXKFIwx9C/T/PWKK67go48+YteuXYfOzZgxg/z8fK644oqwrxERqekyM2H+fO/7eKyF115zxRT69IEKMpwrtWWLK6UdSUNWkRqlClqSJCL9LkSkApdeeikXXHABvXv3platWsyZM4dnnnmG2267jeOOO+7QdRMmTODpp59mxIgR/P73vz/UCHXMmDGHKsKFc42ISE1WmgbXrJn3lZiMDJcG16CBWwXyaudOF3idfbb3sSI1zoQJ7mP53pBJRkGQSAV69uzJCy+8wJYtWygqKqJHjx785S9/4f777z/iuhYtWjB//nzuvfderr76aho2bMi1117LY4895ukaEZGa7JNPYPt26NbN27icHHjjDff5yJHe0+gKC909br1VaXAiANxxR6xnEBdMsD0OEltpaWk2PT09rGtXr15Nz549q3hGItGlv7ciyWXLFnjmGdfY1Gsg8t//wqefQo8e8POfey+GsGEDXHqpegKJJCNjTIa1Nmh1LO0JEhERkSpTUOAKGjRv7j0A+uorFwDVqQM33OA9ANq92+0BUhqciJSnIEhERESqzIIFsGOH92pu+/a5VSCAESOgfXtv44uKXFPUkSOVBidyBL/fHUlOQVAc8vv9GGNCHj6fL9ZTFRERqdCaNS4I6tTJ27hAAF56yZW07tkTLrrI+7MzM+HCC9UUVeQoHTt6L9EYZ3w+X1jvlYEK/wVQEBSHUlNTsdaGPBQEiYhIvNqzB6ZMgXbtvDdF/egj+PZbaNw4sqaou3dD27YwaJC3cSJJoUOHhK8V7/P5wnqvDFS45KUFYhEREYmqoiJ4800wxgUyXmzeDG+/7T6/+Wbv1eBK0+Buugnq1vU2ViQpKBUO0EqQiIiIRNmHH8LGjW4VyIvCQnjhBRfInHcenH6692dv2aI0OBEJTUFQDaAy55JI9PdVpGbbsAEWLoTOnb2PnTnT/ZK6XTsYNcr7+N27XQEFpcGJSCgKghJc7dq1KSwsjPU0RMJWUFBAHZVqEqmRCgpg2jRo1cr7PqC1a90KkjFwyy1Qr5638YWFLg1u1CilwYlUqn9/dyQ5vRNJcE2bNmX//v20bt061lMRCclay65du2jevHmspyIiVWDRIrca07Wrt3F5ea4anLVwxRXQvbv3Z/v9cPHFSoMTCWnZsljPIC4oCEpwLVu2ZNOmTQA0a9aMunXrlpYEFIkL1loCgQC5ubns3buXoqIi2rZtG+tpiUiUbd0K8+dHVnn3zTdh1y7o0gWGDPE+fvdul0J3zjnex4oknfT0WM8gLigISnD169enS5cu7N69mw0bNlBcXBzrKYkcpVatWjRs2JDGjRuTkpJCLa/1bkUkrhUXw/TprhKc12zXlSthyRI37pZbvI8vTYNTNTiRMCkVDlAQVCPUr1+fDh060CHBa76LiEhiWrrUlbb2msZ24AC88or7/MorI0tlUxqciERCv44VERGRiGVlwXvvQadO3sZZC6++6gKhE090Za29Kq0GpzQ4EQ98PnckOQVBIiIiEpGCAnjrLWjSxHsq2uefw4oV0KCBa4rqNUu2oACys+Gaa5QGJ+LJww+7I8kpHU5EREQisnAhbNvmvRrczp3w+uvu89GjwWuBU2tdU9SrrnIrQSLiwUMPxXoGcUFBkIiIiHi2cSMsWOAqunlRXAzPP+/KYvfpA2ed5f3Zfj+ceioMGOB9rEjSUyocoHS4uOT3+zHGhDx8+kssIiIxcPCgK2vdsqX3pqizZ8OPP0KLFnDjja45qhf797sUuhEjvKfQiUjN4PP5wnqvDFRYMsVYa6tvxhKWtLQ0m64a7iIiEqfeftu1GvG6CrRmDTzxhPv8gQfgpJO8jS8qclXoJkyAbt28jRWREhkZ7mMSlMo2xmRYa9OCvaZ0OBEREQnbmjWuJLbXICQ7G154we3nueIK7wEQQGamqyKnAEjkGKSVxARJvhCiIEhERETCkp0NU6dC27beUtGsdf2A9u6F446DoUO9P3vHDujYEc4/3/tYESmjX79YzyAuKAgSERGRkKx1+3kKCqBNG29jP/nkcDns227zvo8oL88do0dDHb1zETk2pelwSU5bCkVERCSkb7+F5cshtcJtxsFlZrpeQgA33BBZOWy/H6680vtYEZGKKAgSERGRSmVnw/TpriePl2puBQXw3HNQWOhKYUdS0jorC047TRk8IhJdCoJERESkUu+95yqzNW7sbdxbb7lVnHbtYMwY78/NyXGpc0OHei+lLSIVSE31vqRbAymzVkRERCr03XewbJn3imyffeb2AtWpA7ff7vYDeREIwLZtrpdQs2bexopIJbKyYj2DuKAgSERERILKzXVpcF6rwW3eDJMnu8+vu857PyFw79P69oVTTvE+VkQqkZkZ6xnEBQVBIiIiEtTcua4qm5eCBDk58J//uH1AZ58N55zj/bk5OVCvHgwZ4n2siISgVDhAe4JEREQkiLVr4YsvvL1fCgRcQ9SdO93qz3XXeX9uaRrcyJHQpIn38SIi4VAQJCIiIkfIzY2sKeq778LXX7sCCnfeCXXren92ZiYMHAgnn+x9rIiEYfx4dyQ5BUEiIiJyhNI0OC8rMatWuSDIGFcIoVUr78/dv9898/LLvY8VkTA9+6w7kpyCoDjk9/sxxoQ8fD5frKcqIiI1TCRpcDt2uDQ4a2H4cOjVy/tzi4tdGt2YMdCwoffxIhKmiRPdkcB8Pl9Y75WBCv8lM9ba6puxhCUtLc2mp6fHehoiIpJk9uyBp5+Gpk3D7wlUUACPPeYqwp1+ukuD85JCV2rTJldE4bLLvI8VEQnGGJNhrU0L9ppWgkRERISCAnj9dRfAeGmKOmWKC4DatoVx4yILgHbvdhXoLrjA+1gRkUgoCBIRERHmznVFCdq2DX/MF1/A4sWuIer48dCokffnFhbCgQMuDa5ePe/jRcSjWbPckeTUJ0hERCTJrVgBS5ZA9+7hj9m2DV591X0+Zgx07hzZs7dscf2AOnSIbLyIeDR8uPuY5FtiFASJiIgkMb/flcPu2DH8VLaCApg0CfLzYcAAOPfcyJ69bRscfzyceWZk40UkAkOHxnoGcUFBkIiISJLKznarOU2bQoMG4Y976y23gtO2LYwd68pie3XwoKsId/XVULu29/EiEiGlwgHaEyQiIpKUiopcMJObCykp4Y/78kv45JPD+4AiKWcdCLgVqJEjoWVL7+NFRI5VwgdBxphaxpgHjDHfGWPyjDGbjTGPG2PCrm1jjLnCGPOpMSbHGLPbGPOWMeaozGhjzPnGGFvBMftY7i0iIlKdPvzQ9QTy0g9o2zZ45RX3+ejRx7YP6Kyz4NRTIxsvInKsakI63BPAvcAM4HGgZ8nXfY0xF1lrA5UNNsZcDUwFVgK/ApoD9wNLjDFp1lp/kGGTgEXlzm2J0r1FRESq1OrVsGABdOsW/pjCQtdkPj8f+veHQYMie/auXa4ctvoBicRIaf6qCiMkLmPMKcA9wHRr7cgy59cDTwHXAq9VMr4u8DSwGTjXWptdcn4OkAH4gPFBhn5mrX01xNwivbeIiEiV2bMH3nzTVWPzshfnrbdcP6A2beDGGyPbB5SfDzk5cOutUL++9/EiItGS6Olw1wEGeLLc+WeBXOCGEOPPA1KB50qDFABr7QpgITCmJJg5ijGmsTGmsm2kEd9bRESkKhQXu0pwxnjr6ZOeDh9/fGz7gKx1fYiuvBLatfM+XkSixNqkXwWCxA+CBgAB4IuyJ621ecCKktdDjQf4LMhrS4FmwIlBXvsHkA0cNMasNcbcZ8xRvxOL9N4iIiJV4pNPYP16aN8+/DHbtx/eB3TNNdClS2TP9vuhTx+XSiciEmuJHgSlAjuttflBXssEWhtjKus/nVrm2mDjATqWOVcIvAP8GhgO3Ansxa1EvXCM9z7E7/djjIna4fP5Kv4TEBGRpLBhA7z/PnTqFP6YwkLXDygvzwUv550X2bP37XMrT8OHR5ZGJyLJwefzRfU9MIffjx8lofcEAY2AYAEQQF6ZawoqGU8F98grdw3W2iXAiLIXGWOeBd4DxhljnrfWLo7k3mWlpqbi96tmgoiIRMfevTB5MrRq5VLawjV1qtsH1Lp15PuACgvdPqQ77/SWgiciVWTYMPcxDvsF+Xy+qP7y3hhT4RvqRA+CcoG2FbzWoMw1lY0HCLY9M5zxWGsDxphHgUuBK4DSIOiY7y0iInKsCgrgjTfcfqBmzcIfl54OCxce2z4gcOWwL7ss8jQ6EYmy2UG7uiSdRA+C/EAvY0z9IClxHXGpchWtApWOL712dZDxEDydrbwNJR9bV8G9RUREImItvPeeW83p2jX8cVu3wssvu89HjfI2tqzMTOjZE845J7LxIlIF3nkn1jOIC4m+J+hL3PcwsOzJkqptfYD0MMYDnBnktTOA/cDaMObRo+Tjtiq4t4iISES+/BKWLvXW1LSgACZOdOWsBwyA88+P7Nl79kCTJjBypLdS3CJSxYYNO5wSl8QSPQiaAlhcA9Ky7sDtt5lcesIY08EYc7IxpmxG8sdAFnC7MaZJmWtPB84H3rLWFpY536r8BIwx9XE9fwDKJld6ureIiEg0bdoEM2a4Qgi1wvy/vbXw2muuklu7dnDDDZHtA8rLgwMHYOxYaNzY+3gRkaqW0Olw1tpVxph/AXcbY6bjChT0BO7FBSFlG6U+CtwMDMb16cFaW2iMuQ8XTC0qKXLQDHgA2AE8VO6Rc0s2WGXg0t1Scb2IegBPW2sPleqO4N4iIiJRsXevK2vdqhXUq6xGajlLlsBnn0HdujBhAjSorBteBQIBF0Rdey2kVliXSURiZtIk93H8+NjOI8YSOggqcT9uT854YAiwE3ga+IO1NhBqsLX2LWPMQeB3wN9w1dw+An5jrS2/Z2cqcCVwD9ACyAGWAw9Za18/xnuLiIgcs4ICeP1174UQNm9248CtAHUM2sQhvPucc47rCSQicWjCBPcxyYMgY9UxNu6kpaXZ9PRQ25lERESOZK1LgcvI8FbM4OBB+NOfYMcOF8DceGNkz9+6FTp0gHHj3GqSiMSh0uCndEWoBjPGZFhr04K9VhNWgkRERARYtAi++AK6dQt/jLXw0ksuAOrc2aWxRWLfPhf4jBmjAEgkriVB8BOORC+MICIiIsDKla4cdpcu4RdCAPjwQ1ixwvUBmjAhsgAmP99Vg7vhBm8peCIisaIgSEREJMH9+CNMmeIKEdTxkOOxciVMm+Y+HzcO2rTx/uziYtcQdeRIb6W4RSRG/H53JDmlw4mIiCSwrCz473+hdWtv1dw2bIBnn3XpcEOHRlbIwFpXivv886F/f+/jRSQGSqueJHldAAVBIiIiCWrPHrefp1Ej15g0XDt2wD//CYWFcOaZLgiKRGYmnHIKXHJJZONFJAY6dIj1DOKC0uHikN/vxxgT8vD5fLGeqoiIxEhuLrz8sktHS0kJf1x2Njz9tGtm2rOnqwQXSUPU7dvd6tOoUVC7tvfxIhIjNSAdzufzhfVeGdfTMyiVyI5DKpEtIiKVKSx0AdCmTd76+RQWwpNPwrp10KkT/PKXriCCV/v2uX5Ed93lLQATEalOlZXI1kqQiIhIArEWZs50xRC8BECBALz4oguAUlLg7rsjC4AOHnRB0M03KwASkcSlIEhERCSBLF4M6eneK7FNn+6aqDZoAPfcE1kAU1joGqJed51bSRKRBNS/vyqZoMIIIiIiCWPNGnj3XRcAeekFtGABfPCBG3Pnnd5WkEoFArB5MwwZ4oohiEiCWrYs1jOICwqCREREEsD27fD669CunbeGpitWuB5CADfd5IohRGLTJldJ7pxzIhsvInFC+84BBUEiIiJxLycHXnkF6teHxo3DH7d+PTz3nNtHNGyYC2IisWULnHiiWwWKpJKciMQRpcIB2hMkIiIS14qK4M03Yf9+aNUq/HE7dsC//uX28Zx1lgtgIlFaCnvMGKijX52KSA2hIEhERCROWev2AK1b520fT/leQDfcENkKzp49rgfQTTdFVklOROKQz+eOJKcgSEREJE4tWQKffeatElxhITzzDGzb5iq4TZgQWTPTnBx3jBsHLVp4Hy8icerhh92R5LSwLSIiEoe++QZmz/ZWCa60F9APPxxbL6D8fJdOd9tt0KGD9/EiEsceeijWM4gLCoJERETizA8/wOTJLgDxUgkuGr2AiopcIYRrr4Xjj/c+XkTinFLhAKXDiYiIxJXNm+Gll6BNG2+rOPPnR6cX0MaNcNll0Lev9/EiIolCQZCIiEic2LoVXngBmjf3Vgp7xQpXQQ4i7wVkrQuAzj4bzj/f+3gRSRAZGe5IcgqC4pDf78cYE/LwaTlTRKTG2LrV9fRp0ACaNQt/XNleQMOHR94LaNMmOPVU9QISqfHS0tyRwHw+X1jvlYHUiu5hrLXVN2MJS1pamk1XN18RkaSxdSs8+yzUq+dtH8/27fDYY64U9tlnw403RhbAZGa6Agw33eTmICI1WGmz1CRYDTLGZFhrg0Z8KowgIiISQ5EGQLt3w5NPugCoVy8YOzayAGjrVteE9brrFACJJIUkCH7CoXQ4ERGRGMnKgkmTvAdA+/e7AGjXLujePfJeQDt3uuILN9/sbQ+SiEii00qQiIhIDGRmur08DRt6a0aakwP/+MfhZqj33OP2EXm1Z4/bR3TLLa4Qg4hIMtFKkIiISDXbssWlwDVq5C0AysuDp55y49u1g/vui2wFZ/9+OHgQbr0VWrf2Pl5EElhqqjuSnFaCREREqtHmzfD88y548bICU1AA//oXbNjg9vA88IC3KnKlcnJg71644w7XjFVEkkxWVqxnEBcUBImIiFSTjRtdANSsmbcApqgIJk6EtWtd4PTAA972EJU6eNBVlLv1Vuja1ft4EakBMjNjPYO4oCBIRESkGmzYcLgRatOm4Y8rLnaB09dfQ5MmcP/90KaN9+fn57tfAN94I/To4X28iNQQSoUDFASJiIhUuR9/dAFQy5YukAlXIACvvALLlrniB/fdF9n7l4IC98vf0aPhlFO8jxcRqWkUBImIiFShr7+G1193+3i8BEDWwpQp8NlnroT2vfdCly7en19Y6PYhjRwJ/fp5Hy8iNcz48e7jpEmxnUeMKQgSERGpIp9/DjNmuAIEDRt6G/v227BwIdSpA3fdBccf7/35hYWwaRNceSUMHOh9vIjUQM8+6z4qCBIREZFoshYWLIB586BzZ7eS42XsrFkwdy7UquV+aduzp/c5lAZAQ4fCmWd6Hy8iNdTEibGeQVxQn6A45Pf7McaEPHw+X6ynKiIi5QQCMGeOC4C6dvUeAE2fDu++6wKgW2+F00/3PofSAGjIEDj3XO/jRaQGGz/+cEpcgvL5fGG9VwYq3EVprLXVN2MJS1pamk1PT4/1NERExKPiYpg92+3j6doVatcOf6y18OabMH++C4Buvx369/c+h7IrQAqARCSZGWMyrLVpwV5TOpyIiEgUFBW5/T/LlkG3bi6QCVcg4IonfPKJ2wM0fvyxrQANGwbnnON9vIgkgVmz3Mdhw2I7jxhTECQiInKMCgrgrbdcJbiuXb0HQC+/7FaP6taFO++E3r0jm8PmzTBiBJx1lvfxIpIkhg93H5M8G0xBkIiIyDHIz3elrNeudStALg09PMXF8NJL8MUXbu/QXXdFVgQhLw/8fhg1CgYM8D5eRJLI0KGxnkFcUBAkIiISoYMHYfJk2LjRew+fwkLXQHXZMqhfH+65B3r0iGwOW7fCdddFlkInIkmmNB0uySkIEhERiUB2Nrz6qluB6dzZ29i8PPjPf2D1atc/6N574bjjvM+hNAAaOzayFDoRkWSlIEhERMSjvXtdGtvevdCpk7ex2dnw9NOwYQM0bQr33ec9iALIzYXt2+Hmm+Hkk72PFxFJZgqCREREPNixw6WxFRZCaoUdKILbswf+8Q/IyoJWreD++6FtW+9zyMmBnTtdAHTSSd7Hi0gSK924qMIIIiIiEo4tW+DFF10Za6/By7Zt8OSTsHu3C57uuw9atPA+h+xsd49x4yLbQyQiIgqCREREwrJmDbzyCjRv7g4vNm2Cp56CAwfc3p+774bGjb3PYd8+d4/bb3eV6EREPEvyFaBSCoJERERCyMhwfYDat4dGjbyNXbMGnnnGFUM45RSYMMFVg/Nq926XgjdhAnTs6H28iIgcpiBIRESkAtbCwoUwd64rgOA1ePn8c/jvf10/oAEDXApbnQj+z7tjh2vAOn48tGvnfbyIiBxJQZCIiEgQRUXw7rvw6afQtau34MVamDMHZs50X194oWtkWquW93n4/dCsmQugWrb0Pl5E5AjDhrmPSd4vKIJ/jqWq+f1+jDEhD5/PF+upiojUSPn5MGUKLF0K3bt7C4CKi10D1ZkzXRGm0aPdEUkAtHmzS8EbP14BkIhEyezZ7khgPp8vrPfKQIU1PI3V5qi4k5aWZtPT02M9DRGRpLR/P7z2GmRmuhS40mqy4cjLg2efha+/hrp14dZboV8/73MIBFwxhZNPdgFUgwbe7yEiElTpClDpilANZozJsNamBXtN6XAiIiIltm1ze3jy8rw3MN23D/75Txe8NG4MP/sZHH+89zkUFrp7nH02XHFFZHuIREQqlATBTzj0T6uIiAjw44/w8stu1aV9e29jN2+Gf/8bdu2CNm3gnnsiK2CQmwtbt8KIEXDmmd5WoUREJHwKgkREJKlZ6/b+vPOOC2CaNPE2/ssv3epRYaHbP/Szn0HTpt7nsWcP5OS4Aggnn+x9vIhIWCZNch/Hj4/tPGJMe4LikPYEiYhUj4ICtz/4iy/c/p969cIfGwjAjBnw/vvu6zPOgLFjvd2j1Natrvz2TTdBhw7ex4uIhK10iTkJYgDtCRIRESln925XAS4zE7p181a9LSfHFUBYvdqNu+YaGDzYe/paIABbtrgA7PrrXSlsEZEqdccdsZ5BXFAQJCIiSefrr2HqVFd0oEsXb2O3bHH7f3budGlv48fDiSd6n0N+vgvABgxw+5QjWUESEfGsNB0uySV8nyBjTC1jzAPGmO+MMXnGmM3GmMeNMY093OMKY8ynxpgcY8xuY8xbxpjuQa47zxjzL2PMKmPMAWPMDmPMEmPMdcYc/fs/Y8xCY4yt4Ai6NCciIlUnPx/efhtefRVSUqBtW2/jv/wS/vIXFwB16QIPPhhZALRnj0uBGzUKrr5aAZCISHWrCStBTwD3AjOAx4GeJV/3NcZcZK0NVDbYGHM1MBVYCfwKaA7cDywxxqRZa/1lLv8L0KnkWauAxsAY4DXgAiDY+uJO4IEg538M8/sTEZEo2L7d9f/ZudN7+lt+Prz5Jixe7L6OdP+PteD3u+ILP/sZpFbYxk9EpIr4S97aJvk/QAldGMEYcwouGJlhrR1Z5vw9wFPAWGvta5WMrwtsAIqAU6y12SXn+wAZwPPW2vFlrj8PWGytLS5zrhawABgEnGqt/brMawuBbtbabl6+LxVGEBGJrq++culvDRpA69bexm7eDM8951Zu6tRx+3/OO8/7/p+CApdK16cPDB8OjRp5Gy8iEhUqjAAk/krQdYABnix3/lngz8ANuFWaipwHpAJ/KA2AAKy1K0oCmDHGmJ9ZawtLzn9c/gbW2oAxZiouCOoNfF3+mpJAqQlwwCZy1CkikmDy82HePPj0U1d1rWHD8MdaCwsXuuCpqMiNv+MO6NjR+zx274bsbJf6NmCA+v+ISAypBCWQ+EHQACAAfFH2pLU2zxizouT1UOMBPgvy2lJcituJwDch7tOp5OO2IK91BLKBhkCuMWYe8KC19rsQ9xQRkWOwZYur/rZnj/f0t+xs1zh15Ur39bnnwujR3tPfSqu/tW4NN9+s9x4iEgf8/tDXJIFEL4yQCuy01uYHeS0TaG2Mqex/Wallrg02HlwQUyFjTCowAbfHZ3G5l9cDjwG3ANcAzwCXA58bY06t6J5+vx9jTNQOn89X2bcgIlKjFBXBxx/DM8+4z7t08RYArVkDf/yjC4AaNXLV3264wXsAlJsL69e7lZ+f/lQBkIhIKD6fL6rvgTn8Xv8oib4S1AgIFgAB5JW5pqCS8VRwj7xy1xzFGNMIVyShMTCsNG2ulLX2lnJDphpj3gEWAn8HLg5239TUVPyK0kVEPNu506Wvbdzoeu/UrRv+2OJiePddeO89lwp3/PFw223QqpX3eWzd6u5x883Qq5f38SIiycjn80X1l/fGmArfUCd6EJQLVFTgtEGZayobD1Df63hjTAPgbSANuNlau6jSmZaw1i4yxnwCDDbGNLTWHgxnnIiIVCwQgGXLYOZMqF8fuh/V5KByu3bB88/DDz+4/TpXXAFDh0Lt2t7uU1joCimccAKMHOnKcIuIxJX+/d3HjIzYziPGEj0I8gO9jDH1g6TEdcSlylW0ClQ6vvTa1UHGQ5BUuTIB0EXA7dbaVz3OewNwPpACKAgSETkG+/e74Ofbb13KWYMGoceUshaWLoU33oC8PGjRAm69FU46yfs89u51xxVXwNlnew+gRESqxbJlsZ5BXEj0IOhL4BJgIHBoJaYkSOkDfBLGeIAzgQ/LvXYGsB9YW/akMaY+LgXuEmC8tfaFCObdA1eWe3cEY0VEpMTq1S79LRBwxQ+8VF3bvx8mT4YVK9zXp58ON93kevh4EQi4fcZNm7q9P507exsvIlKt1IYFSPwgaArwIK65adl0tDtwe3kml54wxnTANULdZK0tTXH7GMgCbjfGPFGmT9DpuJWaF8vu8ykJgN4GLgXutNY+V9HEjDHNgeyyPYVKzg8BzgbmWGvzgg4WEZFK5ebC3LnwxRfQrh00buxt/PLlLgA6cMCtHF17rWuA6rV0dV4eZGZCv34wbJh6/4hIAihNh0tyCR0EWWtXGWP+BdxtjJkOvAf0BO7FBThlewQ9CtwMDMYVJsBaW2iMuQ8XTC0yxjwLNAMeAHYAD5V75GTgMtyqUa4x5oZyr39lrf2q5PPBwN+NMbNwleOKcCtWNwA7cYGbiIh4tG4dvPmmC0C8lr4+eNClvi1d6r4+6SQYNw5atvQ+jx073P2uuca9p1DvHxGRxJHQQVCJ+3F7bMYDQ3ABxtO4BqiBUIOttW8ZYw4CvwP+hqsU9xHwG2tt+f1ApR1nLyo5ynsYKA2C1gAZwFCgHVAX2AL8B/i/IPcWEZFK5ObC+++7AKZtW9d7x4uvv4ZXX3V9g+rWdY1Lzz/fWxAFrux2Ziakprry2W3aeBsvIhJTpdXXkryFirHWxnoOUk5aWppNV76miMgh330H06e7lZeOHb0FLvv2uZWj0n9Wu3WDW26B9u29z2PfPti9Gy68EM47z1sJbhGRuFC6bJ0EMYAxJsNamxbstZqwEiQiIjXUgQOub8/y5d5Xf4qL4ZNPXOW4gwdds9Phw+GCC7xXbgsE3OpPs2Zw553Qtau38SIiceOh8rs9kpOCIBERiTuBgAt8Zs8+XPnNy+rPmjUwZYoLXABOPRWuuy6yxqcHDrgmrGedBRdf7K0Et4hI3EnyNLhSCoJERCSubN/uVm9+/NGlrDVsGP7YnTth2rTDbTBatYJRo6BvX++FC4qLXenrJk3gtttcA1QREakZFASJiEhcyM+HRYtgwQIX+HTv7m3svHmucEJhoUt9u/xyt3ITyb6d0r0/Z50FF13kLRATEYlrGRnuY5KXylYQJCIiMWWtS197+23IznaFD+qE+X+nQAC+/BJmzHBV3wAGDICRIyElxftciorc6k/z5q7ym5dATEQkIaSV1AlIgsIIlVEQFIf8fj8mjLyNhx56CJ/yOkUkge3YAe++64KgNm2gS5fwx65dC1OnwsaN7uvOnV3T00jT1nbsgJwcVzhh0CC3miQiUuP06xfrGRwzn8/Hww8/HM6lqRW9oBLZcUglskWkpjt4EBYvhoULoX59aNcu/D0727a5ctkrVrivmzeHESPgzDO99/wpnUtWllv1GTEistLZIiISf1QiW0RE4kJxMaxcCXPmHO75E27qW3a2qxb38ccuDa5ePbj0Urfvp35973MJBFzwU7s2jBkDp58eWRAlIiKJR0GQiIhUOWvhhx9cELN9u1v5adMmvLGFhTB//uHAyRg4+2y3atO8eWTz2bXLlb4eONAVPmjSJLL7iIhIYlIQJCIiVWrTJle57ccfXbGCbt3CGxcIuCJGM2a4oAWgVy9X9KBTp8jmkpPjgrAuXeDGGyO/j4hIwkot2Sbj98d2HjGmIEhERKrE1q3w4YfwzTfQtGn4ldasdWPefhs2b3bnUlNd8NO7d2Rzyc11wU+zZq54wqmnKvVNRJJUVlasZxAXFASJiEhU7drlev0sW+b663TrFn7Rg++/d8HPunXu6+bNYdgw16+ndm3vc8nLc4UUGjeGq692+34i6RskIlJjZGbGegZxQUGQiIhExd69ruLbZ5+5QKNLl/BXWzZtgpkz4euv3deNG8Nll8H550dWqrqw0P2ys149F0T166eS1yIiwOF0uCSnIEhERI7J/v3w6acuAKpVy+2zCXfVZssW1ydo2bL/396dx8lV1vke//6STjrppBOyQdIsAYzsOx1EQUBBXNFRUdEZdXBhXBH1js4wXlN5Xe+Md9xFmQHcRi+OO3fch3sZQFSWJAiIIAhZCOmEJBDS2Tq9/e4fv3Osk6K6uqrT1VXd5/N+vc6rlrPUU43H9Lef5/k98bq1Naq9XXBB9CLVamCgONLj/POlM88c2XUAABMbIQgAMCLd3dKdd0q33RavOzqqL3e9fn1UikvX+mlpkV7wgih53d5ee1sGBmLYW39/DJ07++yY/wMAKHHZZfF47bWNbUeDEYIAADXp7pbuuCPCj1mUu652ns3atdLPfx5rBUlx3vOfL114YVSOq1Uafvr6pM7OGD43kusAQG5cd108EoIAABjetm0x7O2OOyL8LFxYffh59NEIP+mcnylTpHPOiZ6fkaz1k4af3t4IP+ecI82fX/t1ACB3rrmm0S1oCoQgAEBFmzdLv/mNtHJlzPVZtKi6YW+Dg9J990k33hghSIriBOeeGz0/Ixmulu35Of10wg8A1CwdDpdzhCAAwDO4x7yd226LNXtaW6sveNDXF3OFbrwxAosktbVF+Dn//JHN+enri2sNDkaxg+c9T5o7t/brAAAgEYKaUldXl6yKRTWWLVumQqFQ/wYByI3+/lir5+abIwTNmFF9qevu7qgQd/PN8VyKoHLBBdJZZ0nTptXennSdn5aWmDu0dKl0wAG1XwcAkPjJT+Lxoosa2479UCgUtHz58moOHbIeuLn76LUIo6Kzs9NXrlzZ6GYAyJFdu2Lo2i23SDt2RNCoJmy4x1C3W2+NMtf9/fH+oYfGkLfTTx/ZIqfd3dJTT0UP0nnnxTo/bW21XwcAUCL9Q3sOMoCZrXL3znL76AkCgBzbtCnm+tx5Z/x7uGCBNG/e8Of19Eh33RXh5/HH4z0z6aSTotT1sccW/52t1uCg9OSTEcgWLJAuuUQ65hgWOQWAUfWKVzS6BU2BEAQAOdPfLz3yiPSrX0XJ6ilTqi920NUVweeOOyIISTHH5+yzY7haNQGqVDrfZ2BAOvrouNbhh1c3BA8AUKN0OFzOEYIAICe2bIn1ee64Q9q9O0pTL148fI9NX18sanrrrTFfKLVkSQxVO/XU6hdJzdqxI4a8TZkShQ46O6n0BgAYG4QgAJjAenoiuNx+e/T6tLTEULMDD6x8nru0bl2sC7RiRYQmKarEnXlmVHo7+ODa2zMwEGFs795ox2tfKx133MiKJgAAMFKEIACYYAYHY57OPfdIq1bF8LdZs6rr9enujvlBv/1tDH1LHXZYVHg788yRBZa00MHkyVHkoLMzSm7XOm8IALCfclQYoRJCEABMEFu3Sg88EL0+3d0xzOzAA+Oxkr17Y5jcihXS/fdHiJKkmTOl5zwnhqodckjt7enpiTYNDMSco4svjjk/M2bUfi0AAEYTIQgAxrHubunhh2Oez8aN0dMyb540Z07l8/r7YxHUFSsiAPX2xvuTJkknnhi9PieeWPtcn/7+qPDW0xMlrc85J65z0EEj+34AgFGW8x6gFCEIAMaZ3btjbZ4VK+LRLNb0Wby48nkDA9JDD8UQubvvLs7zkaQjj4yFSDs7Y+hcLQYHpW3bpJ07IzSddFIMeTvssJGtEQQAQL0RggBgHNizR1qzJsLLQw9F8Ghvj0VJK5WS7uuT/vjHOO/ee2MNnlRHh3TGGRF+aq3K5i5t3y49/XR8/rOfHdc58kiKHAAAmh8hCACa1O7dEXx+97ti8JkxI6qyVQo+PT3Sgw/GeffeW1zPR5IWLoyS1kuX1l7dLQ0+27fH68MPly68MEplz5xZ89cDADTCRRfFY87XCyIEAUAT2b69GHweeSTemzEjem0qDS178knpvvtie/jhmJuTOuSQCD6nnRbXqcXgYLSpuzteL14snX9+BJ/Zs2u7FgCgCfz0p41uQVMgBDWhrq4uWRV1Y5ctW6ZCoVD/BgGoG3fpiSek1asj+KRlqYcb6jY4GGEpDT7ZctZmMSzt5JMj/NRalKC/P+b4pHOGnvUs6cUvjmvWOl8IANBkfvzjRrdgvxUKBS1fvryaQ4f80585FSKaTmdnp69cubLRzQBQJ3v3xjo+Dz0UAWbHjmJxg/b2odfO2bkzhrndf39sO3cW97W2SscfH0UJjj++9rCyZ0+s49PfHyW1jz02qrotXkxJawDA+GRmq9y9s9w+eoIAoM7cY72cdesivDz6aPTkTJkizZ0bWzm9vTEk7sEHY1u/ft/98+dH6DnppChMUEs563SY244d0b5Zs2I9oKOOiuFzw60tBADAeEYIAoA62LkzensefjgWME17bdrbh57fMzgoPfZYVHN74IEIS9m5PS0tMRfnuOMi+CxcOHSvUTm7d8cwt/7+GGZ3xBExv2fx4ghUtVwLADBOXXttPF52WWPb0WAMh2tCDIcDxp+enpiXs3p1LEK6eXOEiqlTY5hbubLRAwMRlP70p+jxefjhfUtYSzEv6NhjY1uyJK5Xrd7eKGG9Z0+0Ze5c6YQT4jodHZSyBoBcSv/ilYMMwHA4ABhle/ZIGzfGELcHHojn7tFbc8ABsVBoac9Kb6+0dm0x9Dz6aMwPypo3LwLPMcfE1t5efZv6+iL0pAUNpk+PXqOjj45y2AccMPLvCwCYIN75zka3oCkQggCgCt3d0qZNEXoefDAqupnFsLLZs2MeTWklt+7uqOC2enUEn3Xr9h3eJkkLFkTPzJIlMR9nwYLqh6X19MRnpD0906bFNY45Jnp65s1jiBsAoEQ6HC7nCEEAUGJgQNqyJYa0PfJIBJju7ggUkydH6Cnt6entjfk8a9bEtnZtrN2TZRZhacmSKGSwZEn1vTODg9HD091dDFLt7dFrdNRR0qJFhB4AAKpFCAKQa+5RJW3Llpif88gj8ZgGjenTo3LanDnFcwYGpA0bomdn7doIPRs2RFDJam2NogNHHhmB51nPktraqmtXb28EnnRomxRB56yzIoAtXMhipQCAEUgXlqt19ewJhhAEIFe6u6Nc9caNMUxt3boYVibFcLb29ggYafW2np4IRevXF7eurmcOa0t7eY44Qjr88HhctGjoxU6z+vqietyuXRGk3GNtnjQ8LVwYw+RaW0f1RwEAyKODD47HHBRGqIQQBGBCGhyMIgFPPhnzd9asieFqu3dHMHGXZs6MHp4pU+L1tm1xzIYN8fj44zEkrty/EwsWRI9MGngOO6y6kNLbWww86XWzPUaLFsW1a13sFACAqixa1OgWNAVCEIBxr6cnws5TTxWHqXV1xbA1KULPjBkxfGz+/OgN2rAhSlJ3dcW2cWOxRyhr8uQYMXDoocXtkENimFwlg4NRsGDXruJ10x6eQw+N4LRwYbRn9mzm8gAAxkg6HC7nCEEAxo29e6O3Ztu26KF57LH4//Lu7mLvzpQpETQWLIjjnngitk2bYuvq2neeTVa6kGk29HR0RNnrobhHyNm9O0LP4GAx0Bx4YKzLc+ih0Z65c6P3CQAANBYhCEBTcY/hYtu3x3C2J56IXpuNG4thZ3Awemja2qK3p68vAk428GzZ8sxCBam2tmLYyW6V1uRJe3bSsCNF2HGPIXVHHBE9RAceGGHngAMqhycAANA4/BPdhLq6umRVjI1ZtmyZCoVC/RsE1EFa7nn79uix6eoqhpe+vuJxg4PR07JrV7GK29atsZUeW2ruXOmgg4rbwoURdoYafuYevU179sTW11fsYZo0KXpzsmvwzJkTYWfKlFH/8QAAUB+nnx6Pq1Y1th37oVAoaPny5dUcOmQJPPOcV4ZoRp2dnb5y5cpGNwPYL4OD0o4dsXV3F4emZYOOWbEU9N69EYx27Ii5PWnY2b698uekQ9+yYSfdpk595vEDA/FZPT0RdPr7ixXc3CPUHHRQzBs98MAITLNnR6GCaiq9AQDQ1NK/AuYgA5jZKnfvLLePniAAIzIwEMPWdu4sBp2tW2OuztatMZRtcLA4tK27O0JHenw6t2fnzsqfM3ly9LrMnx9hZ/78fZ+XFigYGIhgtWtXhKm9e+P/79Oha+n1Fi+OkJNWYks3hrABACY0/tAuiRAEoIzBweiVSUs579oVgWXr1mIvzaZNxf07dsTz3buL5+3YEeFnuD80TZ4cw8rSrTTwzJlT7IEZHIyA09sb4ebJJyP0ZEPOpEkxDK6jo3iNWbNivk97e/QcUYkNAJBb6XC4nCMEATmSzq9Jw0oaWNKhao8/HnNztmzZ95g0CKWBJ7vGTSVmMZRszpwIJulj9nl7exzX11cMOOm2a1exkpt7HDdrVvHcdF7OzJnFbfp0Qg4AAKiMEASMc2nVsnSOS7o2zaZNUVVt06aorLZlS/TiZINN9nlvb/WfaRbhZfbsmEOTzpkpfT1jRrSvr68Ycvr7iz03aWEEqbiOz8KFxZAzc2a839YWj9OnMy8HAID9khbVynlxLQojNCEKI+RXWp0snbifVkPbvDm2tKhAujDo9u3Rk5MNQT09sdV6a0+aVBwyNnNm+edtbfG6tbUYbtJQI+071zJdGLS9vRiQ0q2tLQJNW1vxOeEGAIAxQGEESfQEAaPOPXpWtm6NsJIGlm3bolhAWhBg27YIMWkFtbRXJp3vsnfv0OvcVGPatGIPShpGZs7cN3hMnx7HtbZGQYDSMJMaHIxKazNmFIedpcFo1qzidbKPra0EGwAAms6yZY1uQVMY9yHIzCZJ+oCkv5F0uKQtkr4n6ePuvqvKa7xM0scknSxpr6SbJH3E3deUOXa2pE9Ieo2keZIelfQlSf/qZbrVark2xlY6jCw7+T9doLO7u1jxrLt73ypo6fHZQgA9PcXem97emKw/Glpantljkm6trcUAM3VqbOkx06ZFwQGp+IeetDLa9OnFIWZpSEqHnWWvO3VqPKbPqZoGAMAEkPNhcKmJ8GvN5yRdLukGSZ+RdGzy+lQzu8DdK/4t3cxeI+kHku6V9LeSZku6QtJvzKzT3bsyx06V9H8lnSrpKkkPSnqppKslHSSpMNJr51k6rCoNEdlhXaVzXbKT+tM5Leljekz22D17iotfpkEl7WmpZQ5MrSZNKgaKbKjIBpZ0S4NM6ZYGj7QgQBpI0i0NQ9mhZeWun90IMgAAAON8TpCZHS/p95JucPfXZt5/v6QvSvpLd/92hfOnSForqV/S8e6+M3n/FEmrJH3V3S/LHP8eSV+WdLm7X5V5/4eSLpL0bHdfN5JrZzV6TtAPf7hvha40MJS+TodsZXtA0n3p6+w56cT47CT5vr7R6zUZiZaWCAdTphQfh3qeBonS91paisdme1myYSbba5M+nz69eN6UKcW2ZK+X3QcAALDfVq2KxxyUyq40J2i8h6BPSPoHSee4+22Z96dJelLSre7+sgrnX6Do2fm4u/+Pkn03SeqUNN/d+5L3fq3oBZrn7j2ZY58v6VeSPuru/zySa2c1OgS1tIx9MJk0KbaWlhiy1dKy71YuFKTHpq/T55MnPzN4pEPE0iFf06cXJ/iXCzZpGJk8ed/2lD7PfnZLC3NgAABAk6MwgqTxPxxuqaRBSXdl33T3HjO7J9k/3PmSdHuZfXdIeqGkoyT9IZl7dJqku7MBKHFX0o7s51V97WHaOOYuvlh6+OHopSkXBEoDQ7bHpHTLDu9KA0n62NZWHNqVBohJk4qfl31d+ljp+eTJrBMDAABQ1mmnNboFTWG8h6AOSVvdfW+ZfRskPc/Mprr7ULM/OjLHljtfkg5WBJU5kqaXO9bd95rZk8mxI7n2Prq6umSj+Fv8smXLVKhhEtx3vhPzdNK1XAAAADBBpMPhmlChUNDy5ctH85IdQ+0Y7yGoTVFxrZyezDFDhaC25LHcNXpKjql0bHp8W+Z1LdfeR0dHh7q6GlszgWFdAAAAGEuFQqGmP9wPx8yG/IV6vP+qu1tS6xD7pmWOqXS+hrhG6fmVjk2Pz35WLdcGAAAAMEbGewjqkjTfzMoFjYMVQ+UqFULuyhxb7nypOHRtm6Q95Y5NPn+e9h36Vsu1AQAAgPrr6Igt58Z7CFqh+A5nZN9MqsOdImm4Emsrksfnltl3pqRuSQ9LUrLe0N2K9YdKQ9cZSTuyn1f1tQEAAIAxsXFjbDk33kPQdyW5YgHSrHcq5ttcn75hZovM7Bgzy87DuVXSRknvMLOZmWNPlnSepO+XlLD+9+S6pev7XKFYD+h7+3FtAAAAoL42bIgt58Z1YQR3/72ZfVnS+8zsR5J+LulYSZcrQkh2odR/kvRWSS+QdEtyfp+ZfUARpm4zs+skzZL0QUlbJC0r+cjrJF0q6bNmdrikByW9TNKrJX3C3ddk2lbrtQEAAID6YiicpHEeghJXSFqr6J15uaStkq5SLFI6ONzJ7v59M9sj6WOSPq2o5naTYuHTDSXH9iaLoH5C0hsV84AelfR+SV/en2sDAAAAGBvmOVgtdrzp7Oz0lSuHm84EAAAA1OiyZFbHtdc2th1jwMxWuXtnuX3jfU4QAAAAgGpdd11sOTcRhsMBAAAAqMY11zS6BU2BEAQAAADkxWWlRY7zieFwAAAAAHKFEAQAAADkxU9+ElvOEYKaUFdXl8xs2K1QKDS6qQAAABhPXvnK2MaxQqFQ1e/KkoZcFIkS2U2IEtkAAACoi4suiscc9AZVKpFNYQQAAAAgL3IQfqrBcDgAAAAAuUIIAgAAAJArhCAAAAAgL8xiyzlCEAAAAIBcoTACAAAAkBdUhpZETxAAAACAnCEEAQAAAMgVQhAAAACAXCEEAQAAAMgVQhD+rFAoNLoJwLjDfQPUjvsGqB33zegyp0JE0+ns7PSVK1eO+eeamfjfA1Ab7hugdtw3QO24b2pnZqvcvbPcPnqCmlBXV5fMbNiNvwgAAAAgbwqFQlW/K0vqGOoa9AQ1IXqCgPGD+waoHfcNUDvum9rREwQAAAAACUIQAAAAgFwhBAEAAADIFUIQAAAAgFwhBAEAAADIFUIQAAAAgFwhBI1j1a4TxHpClTXbz2es2jPan7O/1xvp+bWex30zOprt58N9U9/zuG9GR7P9fLhv6nse983oqNfPh3WCmlC16wRVWy9+tI+baJrte49Ve0b7c/b3eiM9v9bzuG9GR7N9b+6b+p7HfTM6mu17c9/U9zzum9GxP9+bdYIAAAAAIEEIAgAAAJArhCAAAAAAuUIIakJdXV0ys2E3AAAAIG8KhUK1vyt3DHUNQlAT6ujokLsPuwEAAAB5UygUqv1duWuoaxCCAAAAAOQKIQgAAABArhCCAAAAAOQKi6U2ITPbImldFYd2qMJYxzoeN9E02/ceq/aM9ufs7/VGen6t53HfjI5m+97cN/U9j/tmdDTb9+a+qe953DejY3++92J3X1BuByEIAAAAQK4wHA4AAABArhCCUBMzazGzL5jZU2b2tJl9xcxaG90uoJmZ2XvN7C4z6zGzWxrdHqDZmVmrmV1nZqvNbKeZ/cnMrmh0u4BmZ2ZXm9l6M+s2sw1m9nkzm9rodjUjQhBqdaWkcyWdIOnZko6X9E8NbRHQ/DZK+qSkzzW6IcA40SJpk6QLJc2S9DpJf29mb2hoq4Dm9yVJx7j7LEmnSDpZ0kcb2qImxZwg1MTMHpP0IXf/QfL6xZK+I2meuw82tHFAk0v+kv0X7n5eg5sCjDtm9jVJO9398ka3BRgPzGyBpO9KWu/ub210e5oNPUETlJn9vZl9PxlK4Ga2tsKxk8zsg2b2x2S4znoz+4yZzSg57gBJh0r6XebtuyWl7wPjWj3uG2CiG4v7xsxaJJ0t6b5Rbj7QEPW8b8zs78xsh6TNkk6SdFV9vsX4RgiauP5R0gslPSpp2zDHfk7SZyU9IOn9kr4v6XJJPzGz7P9G2pPH7Zn3ni7ZB4xn9bhvgIluLO6bLyr+7fnmfrcWaA51u2/c/ZPu3i7pOEnXKoaWokRLoxuAunmWu6+WJDO7X9LMcgeZ2fGKG+pH7v7azPtrFP/oXCLp28nbO5LH2ZK2Js8PKNkHjGf1uG+Aia6u942ZfUbRC/RCd+8d/eYDDVH3f2/c/UEzu0fSNyRdMJqNnwj4a+UEld5YVXijJJP0+ZL3r5O0W9JfZa75tKT1iol2qVMVvUHrR9RQoInU474BJrp63jdm9nlFcYTz3X1r6X5gvBrDf28mKwpZoQQhCEslDUq6K/umu/dIuifZn/UVSf9gZh3JhLuCpK9TFAE5U9N9k5SWn6bofZ9kZtMoWYocqvW++aLir9cvdPctY9RGoNlUfd+Y2Uwzu9TMDrBwoqT/Luk/x7C94wYhCB2Strr73jL7NkiaX/LL2j9K+rWkP0h6RDE+9cq6txJoLrXeNx+TtEfSpyQ9P3l+Y91bCTSXqu8bM1usGAK0RNKaZK2gnWb2i7FrLtAUavn3xiW9SdJqxTSF/5D0M0lXjEE7xx3mBKFNUrkbS5J6Msf0SpK79ysm41GiFHlW631TUPSaAnlW9X3j7usUQ4CAvKvlvtkl6UVj0qoJgJ4g7JbUOsS+aZljABRx3wC1474Basd9UyeEIHQpulLL3WAHK7pgqcYD7Iv7Bqgd9w1QO+6bOiEEYYXifwdnZN9MJnGfImllA9oENDvuG6B23DdA7bhv6oQQhO8qJtJdUfL+OxVjTK8f6wYB4wD3DVA77hugdtw3dUJhhAnKzN4saXHycoGkqWb2seT1Onf/liS5++/N7MuS3mdmP5L0c0nHKgof3CoWfESOcN8AteO+AWrHfdN45u6NbgPqwMxukXTuELtvdffzMsdOVvyF4TJJh0vaqvjLw8fdfWc92wk0E+4boHbcN0DtuG8ajxAEAAAAIFeYEwQAAAAgVwhBAAAAAHKFEAQAAAAgVwhBAAAAAHKFEAQAAAAgVwhBAAAAAHKFEAQAAAAgVwhBAAAAAHKFEAQAaFpm9g0zczNbO8R+T7bC2LZsdJjZeZnvkN0+P8yx5415Y0eJmd1S7js3ul0A8oUQBAA5UOGXbTezPWb2uJn9wszeY2YzG91eAADqqaXRDQAANNw0SQcn20skfcTMXuXu9za2WbnzNkkrkudbG9mQOrtU0ozk+XskvbuBbQGQU4QgAMiff5F0deb1fElHS/qQpKMkLZb0CzM72t13NKB9VXN3a3QbRtEad7+/0Y2oN3dfkz43s82NbAuA/GI4HADkz2Z3vz+z3eLu10g6UdJ/JccsknRZ45oIAED9EIIAAJIkd++VVMi89aIGNQUAgLoiBAEAsu7OPD+03AFmNsnMXmhmnzaz35jZVjPrM7Onzeye5P3DqvkwMzs2qQC33sx6ksdvm9nSKs8fsjqcmRWqqTxmZodnrvPXQxyzxMw+b2b3mdkOM+s1s43J6+vN7C1m1l5Nm+vJzNrN7Kbkuwya2eWZfc/4nmb2WjO70cyeSH7+fzKzz5nZQVV+3jHJ8feY2VPJNVYnbfiQmZX93xAANBpzggAAWQOZ531DHPNxScvKvD9b0snJ9m4z+yt3v2GoDzKz10v6pqTWzNuHSHqjpNeZ2btqaXi9mNlrJV2vfdspSQuT7URJb5K0WdIvx7Z1RWa2QNIvJJ0uqV/Spe7+vyscf52kd5S8vUTSFZLeYmYvdfe7hjh3kqRPSPqIpMklu49IthdKeqWk82r9LgBQb4QgAEDWcZnna4c4pkXSRkk3SLpd0mpJPYqeo+cpKn7NlPRtMzvN3R8svUDS03N9cq1eSV+Q9NPkOmdIulJRwOGB/f5G+yHpEfk3RQDaoigo8dvk+TRJR0o6S9JfNKiJkqSk5+1GRYGLPZJe5+4/q3DKeyQtVfT8fVbSHyXNk3SJpL+WNFfSL83sBHfvKnP+l1Ss6rZZ0pcl/VrSNklzJJ0m6dWSWP8HQFMiBAEAsv5b5vn3hjjmK5KWu3tpT9Hdkv7DzK6SdIei5PaVkt5c5hpXK/4NGpD0cnf/f5l9d5nZjyTdqehVaqSXq1jO+Xx3/33J/tslXW9mH1CEojFnZscqAtAhkp6W9Ap3/80wpy1NznlFyX/HG83sDknXKMLMpyT9ZcnnvUzFALRS0kvc/cmS6/+XpE8zHA5As2JOEADknJnNM7OzzezniqFoUvxVv2wIcve1ZQJQdv/jil+eJemVZrZPGeukF6gzefn1kgCUXqNL0odr+yZ1sTB53FYmAP2Zu/c1opy4mZ0h6TZFANok6dwqApAUvW9vK/ff0d2vlXRz8vJ1ZnZgySFXJo97JV1cJgBlr7W+irYAwJgjBAFA/izLTJB3xcKct0l6qeKX469Keqm791dzMTObZWZHmNnxZnaCmZ0gaXeye5ZifkjWBZnnX69w6RsUPRuNlA4Fm2Nmr2poS0qY2Ysk3aQYxrZa0lnufl+Vp9/o7hsq7P9a8jhFmTk9ZjZXMeRRkn7k7utqajQANAlCEAAg6yFJn3f3nZUOMrPFZnaVma2VtF3xS/j9kn6fbNdmDp9fcvqJyeOgpFVDfUbSS/G7mlo/+n6smOciSTeY2c1J1bOlZtbIIeUXK+ZQzZR0nyIAra7h/LIFD4bYf1Lm+SmS0p6922r4PABoKoQgAMiff1EEkRMlnaqY93KNohrciZJuNbOjhzrZzF6qKFjwPkmLq/i86SWv5yaP3e6+d5hzn6ji+nXj7k9JeoWkxxS//J8n6TOKkPC0mf3UzF6fVEsbS++VNFXRc/cqd99U4/mbh9mf/bnPyzxfkHm+scbPBICmQQgCgPzZ7O73J9s97v5zd3+XoprXoCKkfNvMSksfy8zmSfq2pDZJOxWLqz5X0oGSWt3d3N0knZ89rfQyyWM1lcNKzx1z7v5bSUcpKqd9S1I6BGyGIkB+V9LtSYnqsfLD5HGqpO+Z2ewazx/uZ1/Nz53KbwDGLUIQAECSlJRU/tfk5WmKUsmlXifpgOT5q919ubvf4e5b3L03c9zcZ576Z08lj7PNrHTtnVKlk/JrMZg+GaanZkaFfZIkd9/r7t9197e4++GSDpP0N5LuTQ45Q9GbNla+JOlDyfOliqputQSh4RZDzf7cs4UPtmaed9TweQDQVAhBAICs5ZJ2Jc+XmdnUkv3HJ49PlavqltFZYV9aZW2SYmHPspI5N6dUuM5wstXa5lQ47phaL+zu65Mqamco5kJJ0kVmVjr0r27c/XMqVtA7Q9J/mtmsKk8/Y5j9SzPPs1XxfqdiD9A5VX4WADQdQhAA4M/cfbOKPRqHSnprySFpMYBpQ/WumFmbyq8NlMqGp9LrZ71alcPLcLKFApYOeVTJOji1SHq/0gIBLZJqHZa2X9z9syqu7fQcVR+ELjSzSj05lyaP/ZJuyXzeU5LSEtyvNrNq5oQBQNMhBAEASn1KUk/y/O9LqqD9KXlsk/T60hOTeURfUYWhUu5+l2JhVUl6u5m9oMx1Fkr6dO1N38dvFb/ES9KHy4U2M3uzImyVZWYvqRQWzGyapOcnL3do3+FiY8LdPyPpb5OXZ0r6pZm1D3PaVElfKVfhzszeruKcrh+4e2lxik8mj62SfpCUzS6LxVIBNCtCEABgH0mlsa8mL4/Qvj0l31MskilJXzezT5rZ+WbWaWZvlXSnYsHV4RbsfI8ioEyW9IvkOs9PSk+/V1E6e5GKc25G8j22SPpO8vICST8zs5eZ2alm9goz+6akfxumrZdIWmtmvzCzK8zsguT8s83sHcm5JyTHXlft2kqjzd0/LekjycvnavggtEKxLtTtZvYmMzvNzF5kZl+RdF1yzNMq9jJlP+tnKpZA75T0oJl93MxeYGanJI8fNLPbJH1z/78dAIy+Rq5xAABoXv9L0jsVPQZXmtm33H3Q3R83s3crenumSfposmV9V/GL9JBzhtz9TjN7i6RvKHoUSq/TrwhKZ0k6eT++x4cUv6gfI+klyZZ1k6TLJf2hwjWmDHFu1vclXTnyZu4/d/+UmZniv93zFOHyJUOs+XS1ogfrbZKuL7N/m6SXV1hQ9d2K6oAfVBRRWD7EcbfW8BUAYMzQEwQAeAZ3X6/oJZGiPPQbMvu+rvgF+v9I2qJYX2ijpF9KeoO7XyJpoIrP+HfFOkXfktSlWPNmg6K36Wx3v67C6dV+jy2KIWL/U9IfFcP8npZ0u6R3SbpQ0u4Kl/iApNcoQsMKSY8n7dwj6VFFufCXuPvrq1jzqO7c/Z8l/V3y8ixFEJo5xLFvV/x3vUnx33Gv4jt9QdJx7n57hc8ZdPcPKwpXXC3pQcVwwD2KuVg3KX52l+z/twKA0WfulPkHAKARzOw8STcnL1/g7rfU8bMOl7QmeXmpu3+jXp9VLTMrSFomScn6UgAwJhgOBwBAczjCzNLCCluTuVkTjpkdoeLaTPuzDhQAjBghCACA5vC1zPMvSLqiQe2ot69LOrfRjQCQb8wJAgAAAJAr9AQBANAgyRygXM2FcffzGt0GAKAnCAAAAECuUB0OAAAAQK7QEwQAAAAgVwhBAAAAAHKFEAQAAAAgVwhBAAAAAHKFEAQAAAAgVwhBAAAAAHLl/wM5Y5wog/V+YQAAAABJRU5ErkJggg==\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.clf()\n", "\n", "fig = plt.figure()\n", "ax= fig.add_subplot()\n", "\n", "plt.xscale('log')\n", " \n", "plt.xlabel('Radius [kpc]', fontsize=28)\n", "plt.ylabel('$f_{gas}$', fontsize=28)\n", "\n", "plt.plot(res_mass['R_OUT'], res_mass['FGAS'], color='blue', label='NFW $f_{gas}$')\n", "plt.fill_between(res_mass['R_OUT'], res_mass['FGAS_LO'], res_mass['FGAS_HI'], color='blue', alpha=0.4)\n", "\n", "ylim = ax.get_ylim()\n", "\n", "plt.plot(res_mass['R_OUT'], 0.156*np.ones(len(res_mass['R_OUT'])), '--', color='black', label='$\\Omega_b/\\Omega_m$')\n", "\n", "plt.plot([res_r500['R_DELTA'], res_r500['R_DELTA']], ylim, ':', color='red', label='$R_{500}$')\n", "\n", "plt.legend(fontsize=22)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The hydrostatic gas fraction converges to a value that is very close to the cosmic baryon fraction at $R_{500}$. This is a good indication that the reconstruction is accurate.\n", "\n", "We can now save the output profiles into an output FITS file through the [hydromass.SaveProfiles](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.save.SaveProfiles) tool," ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "hydromass.SaveProfiles(profiles=res_mass,\n", " outfile='mhyd/NFW_mass_profile.fits',\n", " extname='MASS PROFILE')" ] } ], "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": "3.9.7" } }, "nbformat": 4, "nbformat_minor": 4 }