{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Non-parametric deprojection and mass reconstruction\n", "\n", "Observed galaxy cluster profiles are _projected_ realizations of the true 3D cluster properties convolved with instrumental effects, in particular with the telescope's point spread function (PSF). The projection and PSF convolution process is lossy, thus the inverse procedure amplifies noise and direct deprojection of thermodynamic profiles creates very noisy profiles. \n", "\n", "To alleviate this issue, we recently introduced a non-parametric approach to deprojection and PSF deconvolution based on the decomposition of 3D profiles onto a basis of functions. Namely, we set a dictionary of functions $\\{\\Phi_i\\}_{i=1}^P$ and we assume that the true profile can be written down as a linear combination of the basis functions,\n", "\n", "$$ X_{3D} = \\sum_{i=1}^P N_i \\Phi_i $$\n", "\n", "with X the thermodynamic quantity of interest and $\\{N_i\\}_{i=1}^P$ the set of coefficients of each function. Since the convolution and PSF convolution process is linear, the individual basis functions can be individually projected and fitted directly onto the projected data. The relation between the 3D normalization and its projected counterpart can also be worked out analytically. \n", "\n", "_hydromass_ and _pyproffit_ include an implementation of this technique for the specific case of galaxy cluster profiles. The model includes deprojection, PSF deconvolution, and spectroscopic-like temperature weights. This tutorial explains how to use the two packages to extract non-parametric 3D profiles of the relevant thermodyanamic quantities (gas density, temperature, pressure, and entropy) and of the hydrostatic mass profile and gas fraction.\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "\n", "import pyproffit\n", "\n", "import hydromass\n", "\n", "import matplotlib.pyplot as plt\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we reload the surface brightness profile of the test cluster MACS 0451. To extract it again see [the tutorial on mass profiles](https://hydromass.readthedocs.io/en/latest/Mass_model.html)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "DATA structure found\n", "Corresponding pixels coordinates: 428.00000000000836 416.0000000000049\n", "PSF structure found\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "WARNING: FITSFixedWarning: RADECSYS= 'FK5 ' / World coord. system for this file \n", "the RADECSYS keyword is deprecated, use RADESYSa. [astropy.wcs.wcs]\n", "WARNING: FITSFixedWarning: 'datfix' made the change 'Set MJD-OBS to 53264.994907 from DATE-OBS.\n", "Set MJD-END to 53265.507373 from DATE-END'. [astropy.wcs.wcs]\n" ] } ], "source": [ "datv, p2 = pyproffit.Reload('../../test_data/sb_pyproffit.fits')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's have a look at the reloaded profile..." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "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.Plot()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Loading the data ##\n", "\n", "We start by loading the spectral fitting results for MACS 0451 into a [hydromass.SpecData](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.tpdata.SpecData) structure. We also compute a PSF mixing matrix appropriate for XMM-Newton data\n" ] }, { "cell_type": "code", "execution_count": 4, "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", "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", "spec_data = hydromass.SpecData(redshift=z_m0451,\n", " spec_data='../../test_data/spectral_results_MACS0451.fits')\n", "\n", "def fking(x):\n", " r0=0.0883981\n", " alpha=1.58918\n", " return np.power(1.+(x/r0)**2,-alpha)\n", "\n", "spec_data.PSF(pixsize=2.5/60., psffunc=fking)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are now ready to define a [hydromass.Mhyd](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.mhyd.Mhyd) object, which will specify the data to be used and the parameters of the source" ] }, { "cell_type": "code", "execution_count": 5, "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": [ "mhydNP = hydromass.Mhyd(sbprofile=p2, \n", " spec_data=spec_data,\n", " redshift=z_m0451)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We also need to compute the conversion between count rate and emissivity, which can be done easily using the [emissivity](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.mhyd.Mhyd.emissivity) method of the Mhyd class. Note that this function requires XSPEC to be available in PATH. See [the tutorial on mass profiles](https://hydromass.readthedocs.io/en/latest/Mass_model.html) for more details." ] }, { "cell_type": "code", "execution_count": null, "metadata": { "scrolled": true }, "outputs": [], "source": [ "mhydNP.emissivity(nh=nh_m0451, rmf=rsp, elow=0.7, ehigh=1.2)\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Conversion between count rate and emission measure: 21.22\n" ] } ], "source": [ "print('Conversion between count rate and emission measure: ', mhydNP.ccf)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Running the code ##\n", "\n", "We are now ready to run the non-parametric reconstruction. This is achieved through the [run_GP](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.mhyd.Mhyd.run_GP) method of the Mhyd class. The main parameters of the reconstruction are the smoothing scales of the log-normal mixture model. The temperature profile is described as a linear combination of a large number of log-normal functions, \n", "\n", "$$ T_{NP}(r)=\\sum_{i=1}^{N_g} G_i \\frac{1}{\\sqrt{2\\pi\\sigma_i^2}}\\exp\\left(-\\frac{(\\ln(r)-\\ln(\\mu_i))^2}{2\\sigma_i^2}\\right) $$\n", "\n", "with the mean values $\\{\\mu_i\\}_{i=1}^{N_g}$ of the log-normals adaptively set between the core and the outskirts. The standard deviations $\\{\\sigma_i\\}_{i=1}^{N_g}$ act as effective smoothing scales, with larger values of $\\sigma$ corresponding to a higher level of smoothing and lower values increasing the fidelity of the reconstruction with respect to the actual data.\n", "\n", "The level of smoothing can be set in two ways: either adaptively or manually. In the adaptive case (default), the smoothing scale is set to the width of the loaded spectroscopic bins, such that fluctuations smaller than the bin width are killed and fluctuations on larger scales are permitted. The _bin_fact_ parameter allows the user to tune the size of the smoothing scale with respect to the bin size. For instance, setting _bin_fact=2.0_ will increase the adaptive smoothing scale to twice the bin size. \n", "\n", "Alternatively, the user can provide custom values _smin_ and _smax_ of the smoothing scales (in arcmin). In this case, the values of $\\{\\sigma_i\\}_{i=1}^{N_g}$ will be logarithmically spaced from _smin_ in the core to _smax_ in the outskirts.\n", "\n", "In the following example we explicitly set the default parameters of the non-parametric model, i.e. we use adaptive smoothing with _bin_fact_=1 (i.e. set to the width of the bins) and $N_g=100$. This is equivalent to running the [run_GP](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.mhyd.Mhyd.run_GP) method with no argument." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Single conversion factor provided, we will assume it is constant throughout the radial range\n", "coefs -187.90419872441586\n", "GP -391.4670806758654\n", "Running MCMC...\n" ] }, { "data": { "text/html": [ "\n", "
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\n", " \n", " \n", " 100.00% [1600/1600 00:08<00:00 Sampling 4 chains, 671 divergences]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "Sampling 4 chains for 200 tune and 200 draw iterations (800 + 800 draws total) took 18 seconds.\n", "There were 159 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The chain reached the maximum tree depth. Increase max_treedepth, increase target_accept or reparameterize.\n", "There were 183 divergences after tuning. Increase `target_accept` or reparameterize.\n", "There were 168 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The chain reached the maximum tree depth. Increase max_treedepth, increase target_accept or reparameterize.\n", "There were 161 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The rhat statistic is larger than 1.4 for some parameters. The sampler did not converge.\n", "The estimated number of effective samples is smaller than 200 for some parameters.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Done.\n", " Total computing time is: 0.3832083503405253 minutes\n" ] } ], "source": [ "mhydNP.run_GP(nmcmc=200,\n", " tune=200,\n", " bin_fact=1.0,\n", " smin=None,\n", " smax=None,\n", " ngauss=100)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Inspecting the results ##\n", "\n", "We can inspect the fit by comparing the fitted profiles and its uncertainty to the data" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "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": [ "plt.clf()\n", "\n", "plt.xscale('log')\n", " \n", "plt.xlabel('Radius [arcmin]')\n", "plt.ylabel('$T_{X}$ [keV]')\n", "plt.errorbar(spec_data.rref_x_am,spec_data.temp_x,yerr=np.array([spec_data.templ,spec_data.temph]),fmt='*',color='red', label='Data')\n", "plt.plot(spec_data.rref_x_am,mhydNP.ktmod,color='blue', label='Model')\n", "plt.fill_between(spec_data.rref_x_am, mhydNP.ktmod_lo, mhydNP.ktmod_hi, color='blue', alpha=0.3)\n", "plt.plot(spec_data.rref_x_am,mhydNP.kt3d,color='green', label='Model $T_{3D}$')\n", "\n", "plt.legend(fontsize=22)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "As we can see, the projected model (here in blue) follows the data very closely. That is by design, as we have set the smoothing to the bare minimum, i.e. only fluctuations smaller than the bin size are removed. The 1-sigma error envelopes of the posterior temperature distributions at each radius are very similar to the actual statistical uncertainties, indicating that our model truly is non-parametric and does not force any additional constraint on the data. \n", "\n", "We can also have a look at the fitted surface brightness model, which is decomposed into a linear combination of King functions (see [Eckert et al. 2020](https://ui.adsabs.harvard.edu/abs/2020OJAp....3E..12E/abstract))," ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": [ "
" ] }, "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": [ "plt.clf()\n", "\n", "fig = plt.figure(figsize=(13,10))\n", "ax=fig.add_axes([0.12,0.3,0.8,0.7])\n", "ax_res=fig.add_axes([0.12,0.1,0.8,0.2])\n", "\n", "ax.set_yscale('log')\n", "ax.set_xscale('log')\n", "ax_res.set_xscale('log')\n", "ax_res.set_xlabel('Radius [arcmin]')\n", "ax_res.set_ylabel('Data/Model', fontsize=20)\n", "ax.set_ylabel('$S_{X}$ [cts/s/arcmin$^2$]')\n", "\n", "ax.plot(p2.bins, mhydNP.sb_dec, color='blue', label='Deconvolved Model')\n", "ax.fill_between(p2.bins, mhydNP.sb_dec_lo, mhydNP.sb_dec_hi, color='blue', alpha=0.5)\n", "ax.errorbar(p2.bins, p2.profile, xerr=p2.ebins, yerr=p2.eprof, fmt='o', color='red', label='Data')\n", "\n", "\n", "ax.plot(p2.bins, mhydNP.sb, color='green', label='PSF-convolved Model')\n", "ax.fill_between(p2.bins, mhydNP.sb_lo, mhydNP.sb_hi, color='green', alpha=0.5)\n", "\n", "ax.set_xlim(3e-2, 6)\n", "\n", "ax.legend(fontsize=22)\n", "\n", "resid = p2.profile / mhydNP.sb\n", "err_resid = p2.eprof / mhydNP.sb\n", "ax_res.errorbar(p2.bins, resid, xerr=p2.ebins, yerr=err_resid, fmt='o', color='red')\n", "\n", "ax_res.set_xlim(3e-2, 6.)\n", "\n", "ax_res.plot(np.linspace(1e-2, 9., 100), np.ones(100), '--', color='black')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Again the model is doing an excellent job at reproducing the observed profile shape at every radii. The effect of PSF deconvolution can be clearly seen in the cluster core, where the PSF deconvolved profile substantially exceeds the data. PSF deconvolution also leads to a slightly steeper radial profile in the outskirts." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Thermodynamic and cooling time profiles ##\n", "\n", "The posterior 3D models of gas emissivity and temperature can then be combined to reconstruct radial profiles of the main thermodynamic quantities. This is achieved easily using the [hydromass.prof_gp_hires](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.nonparametric.prof_GP_hires) function, which allows the user to extract 3D profiles in any user-defined radial range.\n", "\n", "To estimate the radiative cooling time, _hydromass_ includes tabulated values of the bolometric cooling function computed using the APEC model, as a function of the gas temperature and metallicity. The cooling function profile is drawn from the temperature profile for a (constant) input metal abundance that can be tuned by the user." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "thermo_profiles = hydromass.prof_GP_hires(Mhyd=mhydNP,\n", " npt=200,\n", " rin=40.,\n", " Z=0.3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The resulting object is a dictionary containing a number of output 3D radial profiles," ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "dict_keys(['R_IN', 'R_OUT', 'R_REF', 'P_TOT', 'P_TOT_LO', 'P_TOT_HI', 'T3D', 'T3D_LO', 'T3D_HI', 'TSPEC', 'TSPEC_LO', 'TSPEC_HI', 'NE', 'NE_LO', 'NE_HI', 'K', 'K_LO', 'K_HI', 'T_COOL', 'T_COOL_LO', 'T_COOL_HI', 'LAMBDA', 'LAMBDA_LO', 'LAMBDA_HI'])" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "thermo_profiles.keys()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For instance let's have a look at the output pressure profile and compare it with the \"pseudo-pressure\" obtained by multiplying the 3D gas density with the spectroscopic temperature," ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 13, "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": [ "plt.clf()\n", "\n", "plt.yscale('log')\n", "plt.xscale('log')\n", "plt.xlabel('Radius [kpc]', fontsize=28)\n", "plt.ylabel('$P_{e}$ [keV cm$^{-3}$]', fontsize=28)\n", "\n", "plt.plot(thermo_profiles['R_OUT'], thermo_profiles['P_TOT'], color='blue', label='Non-parametric 3D')\n", "plt.fill_between(thermo_profiles['R_OUT'], thermo_profiles['P_TOT_LO'], thermo_profiles['P_TOT_HI'], color='blue', alpha=0.5)\n", "\n", "pvals = np.interp(spec_data.rref_x, thermo_profiles['R_OUT'], thermo_profiles['NE']) * spec_data.temp_x\n", "epvals = np.interp(spec_data.rref_x, thermo_profiles['R_OUT'], thermo_profiles['NE']) * spec_data.temph\n", "\n", "plt.errorbar(spec_data.rref_x, pvals, yerr=epvals, fmt='o', color='orange', markersize=12, label='2D')\n", "\n", "plt.legend(fontsize=22)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The model provides a very good approximation of the pressure profile in-between the data points but it clearly cannot be extrapolated beyond the fitted range, which makes sense since the linear combination of functions is unconstrained beyond the outermost data point and below the innermost one. In a similar way, by design the pressure gradient is unconstrained at the two boundaries, such that the hydrostatic mass cannot be computed there. \n", "\n", "We can also have a look at the radiative cooling time, defined as the ratio of thermal energy to cooling efficiency,\n", "\n", "$$ t_{cool} = \\frac{3/2 (n_e + n_H) k T}{\\Lambda n_e n_H} $$\n", "\n", "with $\\Lambda$ the bolometric cooling function" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "image/png": 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77777yJax8briiit48MEH+e3f/m0ymQy33XYbd999N1dccQWf//zn+cxnPjOmGu1xO2bM1atXc8899/DP//zPXHLJJTz22GN87Wtf49FHH2Xu3Ln8wR/8Abfddlv+53GyaRasA4LYsGFD3LhxY7GnIUmSiuyJJ57gnHPOKfY0StJjjz3G+eefz5e//GVe+9rXjnjPpk2bOPvss/nGN77BDTfccOT5N7/5zfz0pz/l6aefZvv27Se9p7Kykjlz5vCRj3yEd7zjHWOe42CYmBG/V2f6oPcAlFWln7N9ULUIKsa3qnQy4/nfRAjhvhjjhpGuuc1MkiRJ09bZZ5/Ns571LH7v936Pw4cPc9ppp7FlyxZ+8pOf8LnPfQ6As846i+c85zn8wR/8Af39/cyZM4d///d/55vf/CY//OEPqampGdM9jz76KD09PRNemZkRsn3FnsG4uM1MkiRJ01Z5eTlf//rXueaaa/jgBz/IS1/6Uj70oQ8d1/nsK1/5ChdeeCHvfOc7ef3rX09XVxd33303V1999ZjvefDBB6moqOD888+f0s84rWR7IZRORHCbWQG5zUySJIHbzGa6GbPNLEbo3gNlFQy2ZXabmSRJkjSDlXyIGRQHGH6+TCkonTUkSZIkSYWT7S/2DMbNMFNATU1NhBBO+tXY2FjsqUqSJGm2y/RMab1MY2PjmH5XBhpGG8MwU0ANDQ3EGE/6ZZiRJElSUcWYK/4vP/m9edLY2Dim35WBptHGMMxIkiRJs13MQMxSSvUyYJiRJEmSVIL1MmCYkSRJkpTtpdRWZcAwI0mSJM1uMUKmG8qmrl4mXwwzkiRJ0mx2pF6m9KJB6c1YkiRJUv5k+4o9gwkzzEiSJEmz2RSfL5NPpTlrSZIkSZMXYy7MlF69DBhmJEmSpNkrDgCRUuxkBoYZSZIkafYq0fNlBhlmJEmSpNmqhOtlwDAjSZKkaWDTpk384z/+I295y1s4++yzKSsrI4TAV7/61TG9/n/9r/9FCIGf/vSnRz3/7//+74QQuPjii0/4+q9+9auEEDjzzDMn+hFKT4zpsMwSrZcBw0xBNTU1EUI46VdjY2OxpypJklRU//Iv/8L73/9+vvCFL7Bp0yZijON6/de//nWWLl3KVVddddTz999/PwAXXXTRCV//8MMPA/CsZz1rXO9b0o6cL1OcepnGxsYx/a4MNIw2hmGmgBoaGogxnvTLMCNJkma7888/nz/8wz/kS1/6Es888wzXXnvtmF977733smPHDl75yldSXn70KoNh5gSKXC/T2Ng4pt+VgabRxqiYuulKkiRJI/ut3/qtCb/2tttuA+DGG2886vlsNnskpBhmRpDto1S7mA1yZUaSJEkl7fbbb2fevHm84AUvOOr5J598ks7OTuDEYaa9vZ1t27YBsy3MlHbxPxhmJEmSVMIef/xxNm3axMtf/nKqqqqOuja4xayhoYElS5aMOsbDDz9MjJF169axaNGigs532ohZyA6UdPE/GGYkSZJUwkbbYgZDYebCCy884Rizc4tZaZ8vM8iaGUmSpCJb/0f/Peq1v7zxAt707LUAfPHuHfzx7Y+Meu+2v375kcev+Kef8ejuwyPe98bL1/BXr06/4D+yq41f++e7Rh3zW++5mgtWzwfgA7c9zH/es/Oo9ym22267jZqaGl760pced20wzHzve98b7Ip1QseGmaeffpr3vve93HXXXdTW1vKGN7yBv/mbv6Guri4/ky+m7ECxZ5AXhhlJkiSVpG3btvHAAw/wa7/2a8yZM+eoazFGHnzwQQDOPfdc5s6dO+o4DzzwAH19fUeFmdbWVp73vOexbt06vvrVr7J//35+//d/nwMHDvBf//VfBfk8U2oG1MuAYUaSJKnoxrrS8aZnrz2ySnMy337vc8d03wWr54/5/f/q1RceWdGZDga3mL361a8+7trmzZtpa2sD0srMmjVrRhyjt7f3SNAZHmY+/vGP09LSwoMPPnik3qaiooI3v/nN/Mmf/AnnnXdeXj/LlDpyWGbpR4HSj2OSJEmalW677TYqKiq44YYbjrs2uMVs+fLlowYZSKsy/f39rFy5khUrVhx5/jvf+Q7XX3/9UY0DbrrpJqqrq/nud7+bx09RBDGTAk2Jt2UGw4wkSZJK0L59+/jlL3/JNddcM2IHssEwc/nll59wnHvvvRc4vl7miSee4Nxzzz3querqak477TSefPLJyUy9+GZI8T8YZiRJklSCvv71r5PNZkfcYgZDYeayyy474TijhZmWlhYWLFhw3P0LFy6kubl5AjOeRrK9zIRVGTDMSJIkqQTddttthBB41ateNeL1Bx54AJh4mAFG7IAWYxxTZ7RpLdMDZaV9vsyg0q/6kSRJUsm7//77efe7333k58cffxyAP/7jP+bv/u7vjjz/q1/9itbWVn7yk59w+eWXs2rVquPG2rFjBwcPHgRgw4YNo77n4cOH2bRpE3B8mFm4cCEtLS3Hvaa1tZVzzjlnHJ9smskOpJqZUHXye0uAYUaSJElFd/jwYe6+++7jnn/66aePe+5b3/oW/f39o24xG1yVOeWUU44q4D/WfffdR4yRxYsXs3bt0V3izjnnHJ544omjnuvt7WXz5s287W1vO+nnmbZmUL0MuM1MkiRJ08B1111HjPGkXzDUkvnGG28ccaxXvvKVxBjZsmXLCd/zec97HjHGI6s4w73sZS/jRz/6EYcOHTry3O23305vby8ve9nLJvoxi28G1cuAYUaSJEkl5sorr+Rv//ZvOeOMMwr2Hu9617tYsGABr3zlK/n+97/P5z73Od773vfy+te//rguZyVlBtXLgNvMJEmSVGL+z//5PwV/jwULFvDjH/+Y973vfbz61a+mtraWN7zhDXzoQx8q+HsXTDYzo+plwDAjSZIkjejMM8/ke9/7XrGnkT9xoNgzyDu3mRVQU1MTIYSTfjU2NhZ7qpIkSZrpplnxf2Nj45h+VwYaRhvDMFNADQ0NYypkM8xIkiSp4LK9EKbPr/+NjY1jbfrQNNoY0+fTSJIkSSqMGCHTC2HmFP+DYUaSJEma+WIGiMyktsxgmJEkSZJmvhlY/A+GGUmSpCkxeOCjVBTZvmLP4Ih8/m/BMCNJklRgZWVlZLPZYk9Ds1mme9rUy2SzWcrK8hNDDDOSJEkFVlNTQ1dXV7GnodkqZiA7MG3CTFdXF7W1tXkZyzAjSZJUYHPmzKG1tdWtZiqOaXS+TIyR1tZW6uvr8zKeYUaSJKnAFi5cyMDAAHv27KG3t9dQo6mVKX69TIyR3t5e9uzZw8DAAAsXLszLuBV5GUWSJEmjKisrY82aNTQ3N7Njxw4GBmZmZylNU/2Hcw8m0JY5ZqDiEJRVTnoaFRUVzJ8/n2XLluWtZsYwI0mSNAUqKipYtmwZy5YtK/ZUNJsMdMKjfwX1ayBMIMx07oDVb4L55+R/bnngNjNJkiRppuranRZkJhJkSoBhRpIkSZqp2p/Jyxax6cowI0mSJM1UbY9B1YJiz6JgDDOSJEnSTNTXmr7K83Omy3RkmJEkSZJmoq5dM7ZWZpBhRpIkSZqJDm+C8ppiz6KgDDOSJEnSTNT+FFTOL/YsCsowI0mSJM00fa3Q3wnl1cWeSUEZZiRJkqSZpnsvhFjsWRScYUaSJEmaaTq2QllVsWdRcIYZSZIkaaZp3wSV84o9i4IzzEiSJEkzyUAX9ByA8rpiz6TgDDOSJEnSTNKzL50vM8PPmAHDTEE1NTURQjjpV2NjY7GnKkmSpJmia3exZzAmjY2NY/pdGWgYbYwQ48zvclAsGzZsiBs3biz2NCRJkjSbbPkM9OyFqoWTH6tzB6x/E8w/d/JjTVAI4b4Y44aRrrkyI0mSJM0UMQud26FibrFnMiUMM5IkSdJM0dcC2X4oqyj2TKaEYUaSJEmaKXoOALOnjMQwI0mSJM0UXTsgzI5VGTDMSJIkSTNH+zNQOTvqZcAwI0mSJM0MmT7oboKK+mLPZMoYZiRJkqSZoHd/+h5mz6/4s+eTSpIkSTNZ955iz2DKGWYkSZKkmaD96Vm1xQwMM5IkSVLpixE6tkDlvGLPZEoZZiRJkqRS19cCmR4oqyz2TKaUYUaSJEkqdT170+rMLGOYkSRJkkpdxxYory72LKacYUaSJEkqdW1PQNX8Ys9iyhlmJEmSpFLW1wb9bVBeW+yZTDnDjCRJklTKupuA2VcvA4YZSZIkqbS1Pw1lBaiXiZlp31SgotgTkCRJkjQJbU9C1YL8j3vgLmj6HlQvhPnn5n/8PHBlRpIkSSpVfa0wcBjKa/I/9oFfQl8zZDP5HztPDDOSJElSqereS0HqZbr3QOdWKKuCFdfnf/w8McxIkiRJpapjSwoc+Xbwl+n7vHOgoi7/4+eJYUaSJEkqVe2boDLP58vELBy8Oz1ecFF+x84zw4wkSZJUivo7oOdQ/ldO2p+C/laoXgJ1q/M7dp4ZZiRJkqRS1LMXQgHGbb4vfV90GYRCvEH+GGYkSZKkUtS5HUKef52PGWh+ID1efGl+xy4Aw4wkSZJUitqeyH+9zOGnYKAdapZD7fTeYgaGGUmSJKn0DHSlbWYVc/I7bvO96fuiS6f9FjMwzEiSJEmlp2s3xJjfwDHQDYc2pseLn52/cQvIMCNJkiSVmo7NUFaZ3zEP/QqyvTD3LKhdkd+xC8QwI0mSJJWatsehakH+xosR9v80PV52Tf7GLTDDjCRJklRK+tqgN8/ny7Q/Bd1NUDkPFl6cv3ELzDAjSZIklZLu3fkfc88P0vdl10JZRf7HLxDDjCRJklRKWh/L76pM125oezTV4Cy7Ln/jTgHDjCRJklQqsgNw+HGoWpi/Mff+T/q+5DlQmedWzwVmmBlBCOF3Qwj3hBB6Qgh3HHOtOoTwiRDClhBCRwjh6RDC+4szU0mSJM0q3U2Q7cvfVrCB7qGzZVZcn58xp1DpbIibWnuAvwYuA6485loFsBd4EbAFuBD4fghhT4zxS1M6S0mSJM0u7U9DKM/feM33QLY/tWOuWZ6/caeIYWYEMcbbAEIIa0e41gn8ybCnHgwh/DdwFWCYkSRJUuG0PARVi/I33v670velV+dvzClU0tvMQggfCCF8JbflK4YQtp3g3rIQwu+FEJ7MbR/bGUL4+xBC/STnUAFcDTw8mXEkSZKkE+prg748tmTu3AFdO6C8DhZdkp8xp1hJhxngL4HnA5uBlpPc+w/A/wMeB94LfAV4H/CtEMJk/hw+ArQBn53EGJIkSdKJ9eyDGPI33r6fpO9LrkidzEpQqW8zOy3GuAUghPAoMGL7hRDCeaQAc1uM8aZhz28lhZE3AF8c75uHEP6etCrz/Bhj3/inL0mSJI1R5/b8Ff73d8Che9LjEmvHPFxJr8wMBpkxeCMQgA8f8/wngC7gLeN97xDCh0lNAK6PMR4c7+slSZKkcTm8CSrn5WesA3dBHID550Ft6RX+DyrpMDMOlwFZ4J7hT8YYe4AHc9ePCCFUhBBqSCtXZSGEmhBC1bDrHwFeQFqROVDguUuSJGm2y/SmbWb5qJeJGdh/Z3q8/HmTH6+IZkuYaQAOxhh7R7i2G1gyPKwAHwS6gb8Fnpt7/AOAEMI60pa104GtubNmOkII3z124KamJkIIeftqbGzM6x+KJEmSSkTPPiDCpEq9c1oehr5mqF6WVmbyrLGxMa+/A5N+lx9RqdfMjFUdMFKQAegZdk8fQIyxEWgc6eYY43bSlrWTamhooKmpaTzzlCRJko7XtYsx/gp6cvtzhf/Lr81PODpGY2NjXv8jfAhh1F+oZ8vKTBdQPcq1mmH3SJIkSdNP+1NQOWKvq/Hpakq1N2XVsOSqyY9XZLMlzDSRtpKNFGhWkbag2Y1MkiRJ0092ADq25Kf4f/c30/clV0BF7eTHK7LZEmbuJX3Wy4c/mSvyvxjYWIQ5SZIkSSfXsxdiFkL55MZp3wwtD6QzZRpelp+5FdlsCTNfAiLw/mOefwepVuYLUz0hSZIkaUw681AvEyPsvC09XvFCqFow2VlNCyXdACCE8FZgXe7HpUBVCOGDuZ+3xxg/BxBjfCSE8FHgPSGE24DvAOcA7wPuZAIHZkqSJElT4vATk6+X6dwKHc9AeR2sfFF+5jUNlPrKzNuBP8t9LQMWDPv57cfc+37gD4DzgI8CbwD+CXhFjDFbiMmNtTWzLZclSZI0omw/dGydfL3MvlwHs2XPhfLpUSsz1hbOnKA1c4gxTt2MZ5kNGzbEjRstx5EkSdIEde2Cp/8V6tdOfIy+Nnjoj9JWs4v+AqoXj/21nTtg/Ztg/rkTf/9JCiHcF2PcMNK1Ul+ZkSRJkmaujm1Mul5m/x2pgcDCi8cXZEqAYUaSJEmartoendwWs4HuoS1mK16QnzlNI4YZSZIkaToa6E7bzCrnTnyM/T+BTDfMPRPmnp6/uU0ThhlJkiRpOureDUQIE/yVPdMHe/8nPZ4h58ocyzAjSZIkTUftz0ConPjrD/0KBjqhfj3MOztv05pODDMFZGtmSZIkTVjroxM/3DJG2Pfj9HjF9RAm2USgAPLRmtkwU0ANDQ3EGE/6ZZiRJEnSUfpaob8FKuom9vrDT0L3HqicDwufldep5UtjY+OYflcGmkYbwzAjSZIkTTddu2Eyx0Hu/WH6vuxaKKvIy5SmI8OMJEmSNN0cfhIqaif22vZnoO0xKKuGZdfkd17TjGFGkiRJmk5iFg4/AZULJvb6Xd9M31dcP7m2ziXAMCNJkiRNJ70HYaAHyqvG/9rDm6B9E5TXwYoX5n9u04xhRpIkSZpOOnfCRJuP7fle+r7i+ok3DyghhhlJkiRpOjn8BFTMGf/rOndC2+NQVgXLrsv7tKYjw4wkSZI0XWQz0LEZKueN/7V7vp++L70aKicQhkqQYaaAPDRTkiRJ49K7H7L942+n3LkDmjdCKCuZWhkPzZzmPDRTkiRJ49K1a/yviRG2fwmIsPz5UL0o79MqBA/NlCRJkmaStgnUyzTfBx3PpNc1vLww85qmDDOSJEnSdJAdyNXLzB/Ha/pg59fS49WvnBUdzIYzzEiSJEnTQc9+iANQVj721+z5IfQ1Q93qVPifT9kBiJmJH945BQwzkiRJ0nTQuY1x/Xre1zZ0rsza16Xi/3zq2g3Lr4e6Uevvi84wI0mSJE0HrQ9B1Ti2mO35ftpmtuAimHdWfufSexBqG2D5dfkdN88MM5IkSVKx9XdA5y6omDu2+/vaYP9P0+NVv5bfuWT7YaAL1r5m/C2ip5hhRpIkSSq2rp0QgHSuysnt+T7Eflh4MdSvyfNcdsGKF0Pt8vyOWwCGmQLy0ExJkiSNSetjUF47tnsHOuHAXelxwyvyO4/ufTDnVFj6nPyOO4J8HJoZcgfRqAA2bNgQN27cWOxpSJIkaTrLDsBjfwnVi6Gs8uT3N30Pdt0O886Bs9+fv3lkuqG3Bc5637Q6eDOEcF+MccNI11yZkSRJkoqpaydke8cWZLIDsO8n6fGKF+ZvDjFC9x5Yc+O0CjInY5iRJEmSiqn1YSirHtu9h+6G/tbUaWz+ufmbQ3cTLLgYFlyYvzGngGFGkiRJKpZsPzQ/kLaYjeXe3f+dHq988dibBZxMf3sKU6tekb8xp4hhRpIkSSqWjm2pK9lYtpgduAv6DqVVmcWX5+f9sxnoOQDr3wCVc/Iz5hQyzEiSJEnF0vLg2LqYZXqh6Tvp8epXQsjTr/FdO2DFC1IHsxJkmJEkSZKKYaAr1cuMZYvZvp9A/2GoXw8LLsrP+3fvTSFm+XX5Ga8IDDOSJElSMRx+EogQyk9830BXOiQTcqsyeahrGehK7732NVBWMfnxisQwI0mSJBXDgV9A1YKT37f3h5DpgrlnprNlJitm06rMmtdC1cLJj1dEhhlJkiRpqnXvTee6VM478X39h2Hvj9Lj1a/Kz6pM125YciUsyGNr5yIxzEiSJElTreX+sW3vavpeOlBzwQUw97TJv29vc6rRaXjJ5MeaBgwzBdTU1EQI4aRfjY2NxZ6qJEmSpkqmFw7eAzXLTnxfbzPsvzM9XvXKPLxvHwx0wLrXQ/kYD+ksoMbGxjH9rgw0jDZGiDFO3YxnmQ0bNsSNGzcWexqSJEmaTloehh1fgvp1J75v6+fS2TKLNsDp75jce8YIndtg9Y2wJE9n1EyREMJ9McYNI11zZUaSJEmaSgfugsoFJ76nZ19qEEAZrLph8u/Z3ZRaOi++bPJjTSOGGUmSJGmqdO9JBfhV80983+5vA1lYeiXULp/ce/Z3QFk1rP61/DQQmEYMM5IkSdJUOXQPlFed+J7OnXDoXggV0PCKyb1fzELPgXSeTEX95MaahgwzkiRJ0lQY6IRDG6H6JIX/u24HIiy7FqoXTe49O3em1Z15Z05unGnKMCNJkiRNhdZHgAhl5aPfc3gTtD0GZTXQ8LLJvV/3XqhfAw0vndw405hhRpIkSSq0bAb23QnVS0a/J0bYeVt6vPJFUDln4u/X35HqY9a9AcoqJz7ONGeYkSRJkgqt/Wnob4OKutHvaXkgtU+unAcrXjDx98pmcnUyb4CqBRMfpwQYZiRJkqRCihH2/fjEwSJmYNfX0+OGV0zuUMuuHbD8eTDvjImPUSIMM5IkSVIhde2Erl0nDjP7f5bOlqleBkuvnsR7NcGcM2DF8yc+RgkxzEiSJEmFtO/HJ26L3N8Bu76RHq+58cQNAk5koDPVx6x7LZRVTGyMEnPSTxlC+NOpmEiM8f+biveRJEmSpkzHNmjbBHPWj37Prq9DpgvmnQMLL5nY+8QsdO+DU2+GyrkTG6MEjSWyNQKxwPMAMMxIkiRp5ohZaPoOVM1PncVG0rENDtwFoSx1HhvtvpPp3gMLL4b550x0tiVpPNvMQgG/ZqSmpiZCCCf9amxsLPZUJUmSlG/tm1O9zGgHX8YsbP8vIMLy66F2xcTep68Fyuth1SsmPNViaGxsHNPvykDDaGOEGE+86BJCyJJWZi6IMT6ezw8QQjgfeBiIMcYJbg6cvjZs2BA3btxY7GlIkiSpGJ75FPQeGD3MHPgFbP0MVM6HC2+F8trxv0emB3r2wxnvhrpRf+cvaSGE+2KMG0a6VuwGAFOxfU2SJEmaWt37oGMzVC0c+fpA99ABmWtumliQiZnUvWzta2dskDmZYocZSZIkaeZp3pg6i41WA7P7WzDQDnNOh8WXT+w9OnfA8utg4UUTnmapG0sDgOflvm8twPtvHTa+JEmSVPr6O+Dg3aPXwHTthn0/AcLEi/67dsPcs2DFCyY11VJ30jATY7yzUG8eY+wCCja+JEmSNOUO/AKII5/1EmOu6D8Ly66D+jXjH7+3GSrmzqrzZEbjNjNJkiQpX/pa4cDPoHblyNeb74P2p9IhmqtvGP/4mW4Y6IJT3nrigzhniQlHuRDC+3IPHyrk6o0kSZJUMvb/DAgjr5hkemDnV9Pj1TeOP4xkcwX/p7wFapdPeqozwWTWpT5M6kb22vxMRZIkSSphPfvh0K+gbvXI15u+m86EqVsLS68a39gxC53bYeULYcEFk5/rDDGZbWYtue+FaAwgSZIklZamH0BZNYQRjk/s2Qd7/yc9Xv9GCOP8NbxzByx9TjpcU0dMJswMhpjF+ZiIJEmSVLI6tsHhx6BmhO1fMcL2L0McgCXPgTmnjm/sriaYewY0vGxinc9msMmEmduBAEygckmSJEmaIbIDsOubULVg5LDR+jC0PQrlNbDmxvGN3dcG5dWw9jWzvnPZSCYTZj5CWp15ZwjhRXmajyRJklRamu+Dnj1QtfD4a9l+2PHl9HjVDVA5b+zjZnpTd7T1b4HKuXmZ6kwz4TATY2wHXgQ8Cfx3COGTIYTnhRAWheD6lyRJkmaB/vZU2D9aK+Y9P4Deg1DbAMuvG/u4MZsOxlzz6omdRTNLTKY1c2b4j8Dbcl+D10/08hhjdJ1MkiRJpW3fHUA2bSE7Vu8h2PPd9HjdG0ZuDDCazl2p4H/xpfmY5Yw1mUBxbFpxNUaSJEmzR89+OPjL0VdOdnw1bTNbtAHmnTW+cesaYOVL8jPPGWwyYebWvM1CkiRJKjVNP0grMiOtuLQ9AS33Q1lVKt4fq/721P1s3RugvCp/c52hJhxmYoyGGUmSJM1OrY/D4Ueh/pTjr2UzsP1L6XHDy0ZuDDCSTF/amnb6O6F6Uf7mOoNNppuZTqKpqYkQwkm/Ghsbiz1VSZIkjVVfC+z4CtSsGLkV874fp+5m1ctgxQvGNmaM0LULVt8Ac9bndbrTVWNj45h+VwYaRhsjxBinbsazzIYNG+LGjRuLPQ1JkiTlS8zC5k9B916oHeGAzL42ePhPIdsDZ74XFpw/tnG7dsPcM2H9GyG43jBcCOG+GOOGka75JyVJkiSNVdvj0LFl5CADsPO2FGQWXDj2INPXBuW1sPqVBplxykt75Ny5MhcDFwFLgFpO0t0sxvj/5eO9JUmSpCmR6YXd34aaZSNfb38GDv0KQgWsfd0Yx+xJB2Oe+TtQOSdvU50tJh1mQgg3A7cA68b5UsOMJEmSSsfBu6H/MFSvP/5azML2/0qPV74YapaefLyYSdvL1r4e6lbndaqzxaTCTAjhL4A/YmxnzMQx3idJkiRNL72HYO8P0vkvI9n/M+jaCVWLxnY+TIzQuQOWXweLn5XXqc4mE96UF0J4NvCB3I8/JG0zG/ybiEA5sBR4KfBNUpC5C1gZY3QzoCRJkkpDjLDrW+nMmLIRzn7p74Bd30iP1752bOfDdDfB/HNhxYvyO9dZZjKh4ndy37cDL48xPgz0D16MyaEY4/djjK8Cfhe4GvheCMETgCRJklQa2h6Hw5ugdsXI13fdBplOmHcOLLzk5OP1tUF5Hay5CcpGOHBTYzaZMPMc0grMR2KMAye7Ocb4L8DXgAuBd0/ifSVJkqSpke3PFf2PUgPT9gQc+Hkq+l/3hpHPnTl2vL6W1IK5oi7/851lJhNmVua+PzbsuezggxBC5Qiv+Rxpu9nrJ/G+kiRJ0tRofhD620buNJbphW2fT49XvXz0lZvhOnfCypdC/dq8TnO2mkyYGQwr+4c91zHs8UjxdVfu++mTeF9JkiSp8DI9sOd7o58ps+Mr0HsQalfDiheffLyuJph/Diy7Kr/znMUmE2YO5L7PG/bcPiCTe3zOCK8ZXM2ZO4n3lSRJkgpv/12Q7U0HWh6r+T448LO0vey03zh57UtfK5RXw5obPRgzjybzJzm4vezswSdijH3Dnh9pK9lbc9+bJvG+kiRJUmF174X9P4HaEVox9x6ErZ9Lj9e+BurWnHisTHc6n+aUm6Fy3onv1bhMJsz8jFT/8rxjnv9S7vnfDCHcGkI4L4RweQjhY8DrSE0DvjuJ95UkSZIKJ2ZTq+XyOig75ljGbAae+WQKKAsvhmXXnXysriZY9/rRz6jRhE0mzHw99/0VIYThEfMfgW25sT8IPAz8EnhX7noL8FeTeF9JkiSpcA7dC53bRu5gtvtb0LkVqhbCKb9+8u5l3Xtg0aWw4IKCTHW2m3CYiTE+RlqVuRGoGPZ8V+75n5NWaIZ/PQpcH2PcddyAkiRJUrH1HEytmGtXHX+tc2dqCECAU38TKupPPNZAZ1rZaXhZQaaqYSFkImKMd47y/HbguSGEs4Dzcu/zdIzxgcm8nyRJklQw2Qzsuh3Kq9LXcDEL278IRFj+fJh35onHitlUd3Pqb4zc1ll5MakwczIxxk3ApkK+hyRJkpQXzfdC+2aYe+rx1w7+Ejq2pAL+VTecfKyunbD06tSKWQVjXzhJkiRpcHtZ3erjr/W3w46vpcdrXgMVI7RqHq73IFQvg5Uvyv88dZS8rMyEEOYDrwGuBFYAdcDbctvNBu9pABYAPTHGLfl4X0mSJGnSYja3vaz6+O1lADu/BplOmHcOLL78xGMNdEKmD057ZxpPBTXpMBNC+B1Sd7LBgzADqf3ysRVR1wGfB3pCCKtjjM2TfW9JkiRp0pofgI7NMGeE7WWHN6UtZqEC1r/xxN3LsgPQvR9OvRlqlhRuvjpiUtvMQggfBP4ZmAf0Afef4Pb/AvYC1cCrJ/O+kiRJUl70H4amb498OGa2H7Z9IT1ueBnULD/xWF07YeX1MP/sE9+nvJlwmAkhXAjcmvvxP4GVMcbLRrs/xpgFvkJauXnBRN9XkiRJyosYYfd30jaz8prjr+/5HvTsg5qVJ69/6WqCuWfBsmPPk1chTWZl5r2kYHI38JYYY+sYXvPL3PcLJ/G+kiRJ0uQduhtaH4Talcdf694DTd9Lj9e/CcoqRx+n9yBUzIG1r4Gy8oJMVSObTJi5jlQb89EYYxzja7blvo9wCpEkSZI0RTp3wq5vpu5l4ZhfibN98MwnIA7A0qtOfKZMfwdk+lOdjOfJTLnJhJnBjYWPj+M13bnvI6zjSZIkSVNgoBO2fRGqFkLZCN3LdnwFunen9sprXzf6ONk+6D0Ap74VapYWbr4a1WTCTCb3fd44XjNYNdU2ifctGU1NTYQQTvrV2NhY7KlKkiTNDjELO78OmS6omn/89YO/gv0/Td3LTn/nyLU0g+N07kwHaI7UBU0n1djYOKbflRlaRDnOZMLM7tz308bxmufnvm+dxPuWjIaGBmKMJ/0yzEiSJE2Rg7+E1kdH7l7WuQO2fj49Xvd6qF8z+jidO2DJlbDkisLMcxZobGwc0+/KQNNoY0wmzNxBagDw9rHcHEJYCbyTVGfzo0m8ryRJkjR+HVth97ehfvXx58X0d8DT/wqxP9XJLH3u6ON07Ya5Z8CqV5z43BkV3GTCzL+RgskVIYR3n+jGEMKpwPeABcAA8PFJvK8kSZI0Pn2t6cyY6iXHdyaLGdj8Seg7BPXrYd0JDsfsbYbKebDudVA26fPnNUkTDjMxxgeAj5JWZ/4phPDNEMKvD7vlWSGEt4YQvkBqEnA+Kfz8VYxx+2QmLUmSJI1ZpidtH4tA5dzjr+/6Ohx+AirmwunvGr0N80A3DHTB+rdARX0hZ6wxmmycfD8wB/gN4OW5r8E2zZ8Zdt9gtP14jLFxku8pSZIkjU3Mwo7boGcv1K89/vrBX8GeHwBlqeC/etEo42TS2TOnvAVql498j6bcZLaZEWPMxhh/E7gJuJ8UWkb6ehR4XYzxdyY3XUmSJGkc9v0EWh+GuhGK+Tu2wtbPpcfrXn/i82Q6d8Kya2DB+YWZpyYkLxv9Yoy3A7fnivwvA5YB5cBB4IEY45Z8vI8kSZI0Zm1PwJ4fphWZY2tg+lrg6Y+lgzGXXQPLrxt9nJ59ULcKVr6woNPV+OW1ainGuAf4Zj7HlCRJksatew9s/0+oXXF8oX6mD576GPQfhrlnwto3jD5OXxtQlpoCjFZLo6KZ1DYzSZIkadrpa4Et/5GK9Cvqjr4WI2z9DHTtSJ3NTn8XlJWPPM5AVwo8p/7G6LU0KqoJh5kQwodDCG4alCRJ0vQx0AVbPpMK9qsWHn+96TvQvBHKauCM34XKOSOPk+2H7r2w/s1pi5mmpcmszLwPeCiEcE8I4V0hhHn5mpQkSZI0bpk+2PbFtDJTs+z46wfvgd3fBAKc9naoaxh5nJiFzh3Q8HKYf3ZBp6zJmUyYyZI6lV0KfAzYE0L4TAjh2rzMTJIkSRqrmE3nxXRsG3kl5dBG2PLv6fGaG2HhhaOP07kNllwJy64u0GSVL5MJM6uADwBPkUJNLfAW4MchhGdCCB8IIYwSdyVJkqQ82vdjaL4f6lcff631Edj8KSCm1ZaVLx55jMEgs/gKWH3D8R3QNO1MOMzEGPfFGP8mxngOcDXwaaCTFGxOBf4c2B5C+HYI4cYQQl47p0mSJEkAtDyUa8G8DsIxv952bIVn/g3IphCz6tdGHuO4IGOfrFKQl7+lGOMvYoxvB1YAbwfuIoWacuClwFeB3SGEvw0hnJuP95QkSZJoexK2/1faWnZsV7LuPfDUP0O2L20bW33jyKstMQud22Hxsw0yJSavf1Mxxq4Y46djjNcAZwJ/A+whBZulwO8Dj4QQfhlCeHsIYZT2EZIkSdJJHH4atn4WapZDec3R13r2wZP/AAMdMP98WP/WkwSZy2CVQabUFOxvK8b4TIzxA8Ba4EZgLynUBOBy4N+AphDCv4QQTi3UPCRJkjQDde5I58XULD3+LJnegynI9LfB3LNOfJZM505Y+CxY9crR79G0VdDomdtS9rek4LIciLlLkRRq5gDvBJ4IIfxpIeciSZKkGaJ7L2z+d6hakA7GHK63OQWZvhaYcxqc+W4orxp5nM6dMO/s1N3MIFOS8h5mQghzQwjvDCH8CngEeD9pi1kAHgbeAywmNQ34D6APqARuCSH8Zr7nI0mSpBmkZ3/qTFZRC5XHHHPY15aCTO9BqF8PZ733+O1ng7r3Qu1KWPdaKLNPVanKW5gJIVwbQvgsqUbmX0hbyQLQQVqZuSzGeEmM8WMxxrZc04DfBM4A7svd+958zUeSJEkzTM9+eOYTEMqhauHR1/oP54LMfqhbA2e9D8prRx6n91C6dspbRg87KgmTiqEhhFXAbwBvA04ZfDr3/W7gE8B/xRi7RhsjxrgrhPAB4AekYCNJkiQdbXiQqV509LWBTnjyH6FnD9Q2wFnvP3772aD+dsj0wZlvP35lRyVnwmEmhPAd4IWk1Z3BANMMfB74RIzxsXEMty33fZT4LEmSpFnrhEGmG578MHTvSl3Nzv49qBylYW6mO9XUnPFOqFlW8Gmr8CazMvOSYY/vAD4JfC3G2DuBsbqAnzLUIECSJEnKFft/EkLF8UGmvwOe+ifo2gHVS3JBZpTVlkwfdO2BU96aDtfUjDCZMLMP+AzwyRjjM5OZRIyxCbhuMmNIkiRphulqSkGmvPr4Gpm+lqGtZVWL4ezfP/6eQZnuFGTW3gQLziv8vDVlJhNm1sQYB/I2E0mSJGlQ12545pOpa1nVgqOvde+FTf8Ifc25Gpn3jR5k+jtSd7NT3gILzi/4tDW1JhxmDDKSJEkqiCNBpg6q5h99rWNb2lo20AFzToUz3zN6sX9fS6qpOf230r2acWyqLUmSpOmjYyts+TRUzD0+yLQ9Dk//K2R7Yf75cPo70xa0kXTvhbIqOOO3oXZF4eetojhpmAkhXJh7+GSMsS+fbx5CqAbOAogxPpzPsSVJklRi2h6HrV+A6sXHdyQ7dA9s+Q+IGVh8OZxy88iHXcYIXbugZkXaWnZsINKMMpaVmQeBLHAh8Hie3//0YeO7SiRJkjRbtT4K276QQkjFMad17P0f2PGV9HjFC2HNqyGMcPZ7zEDnjrRqs/YmD8ScBcYaIMLJb5mUQo8vSZKk6ar1Edj2xbQdrHxYkIkRdt0Ge36Qfl5zE6x80chjZPtTkFl+Hax4EZSVF3zaKr7xrIZ4BowkSZLy68AvYdc3oG7l0UEmm4Gtn4VDv0qrMKfcDEuuGHmMwSDT8ApY/typmbemhfGEmR+EEPrz/P6VeR5PkiRJpSBmYc//wL4fQf1aKBv2a2GmG575t1RDU1YFp79r9LbKmR7oboLVr4Slz5mauWvaGM82s1WFnIgkSZJmiZiFpu/A/rtgznoIw7aE9R6Cp/45BZSKuXDm78KcU0Yep/8w9LbAujfBwgtHvkcz2ljCzGcKPgtJkiTNDtkM7P4GHLwnF2SGFfJ3bIOnP5pCSs2KdIZMzdKRx+nel157xrvSyo5mpZOGmRjj26ZiIpIkSZrhsgOw83Zovv/4INN8P2z591T/Mu+stLVspMMwY4SunVC7Eta/GaoWTNXsNQ2N0NNOIYTfDSHcE0LoCSHcMd7rkiRJOkamD3Z8FVoegDnrhoJMzKaA88zHU5BZchWc+b5Rgkw2rd7MOxdO+y2DjDzbZRR7gL8GLgOunMB1SZIkDcr0wLb/hPZnoH4dhNypHAOdsPmTqdCfsnR+zIoXDF0fLjsAXTtg2dWw8qW2XhZgmBlRjPE2gBDCiBswT3ZdkiRJOf2HYevnoXtvWpEZ1LULnv4X6D0IFXPg9Hem7WUjGWy9vPKFsPz6kcOOZqWS3mYWQvhACOErIYQtIYQYQth2gnvLQgi/F0J4Mrc9bGcI4e9DCCOsYUqSJGnSuvfBU/+aAkv96qHnD90Lj/9Ner5uLZz3/xs9yGR6UpBZ/crRV200a5X6ysxfAs3A/cCCk9z7D8D7gNuBvwfOyf18SQjhBTHGbAHnKUmSNLu0P5NWZMproHZFei5mUn3M3h+mnxdfAae8OZ0lM5KBTug5AOvfBAsvmpp5q6SUepg5Lca4BSCE8CgwZ6SbQgjnAe8Fbosx3jTs+a3AR4A3AF8s/HQlSZJmgYN3w66vQ82yoUL+/g7Y/G9weFMq/l/7Olh23egrLT37U53Mab8Jc0+fqpmrxJT0NrPBIDMGbyQd/PnhY57/BNAFvCWP05IkSZqdYhaavp9WX+pWDQWZzh3w2F+kIFMxF87+fVj+vJGDTMxCx3aoXABnvdcgoxMq9ZWZsboMyAL3DH8yxtgTQngwd/2IEEIF6c+mAigLIdQA2Rhj31iuS5IkzTqZPtj1DWi+L9d6Oddt7OCv0naz2A/1p6RDLqsWjjxGtg86d8KSZ0PDK6B8lO1nUk5Jr8yMQwNwMMbYO8K13cCSEMLw/7V8EOgG/hZ4bu7xD8ZxHYCmpiZCCHn7amxszMefhSRJUn71taUDL1sfyh2GWZ7qY3Z8BbZ8OgWZpVfDOf979CDT1wZdTbDmRlh9o0GmhDU2Nub1d2DS7/IjCjHGqftkBTRYMxNjXD/Ctc1AZYzxuFbKIYTPAm8FFsYYW/M5pw0bNsSNGzfmc0hJkqTppXM7bPtCqm8ZLPQf6IRnPgGHn0j1MeveAMuuHfn1MUJ3E5TXpUL/+jVTN3eVhBDCfTHGDSNdy+s2sxDC1cCDMcaOfI6bB13AslGu1Qy7R5IkSWMRs7D/57Dnu1C9CKqXpOe7m+Cpf4He/ak+5ox3wdwzRh4j2wedu2DB+bD6VVA5Yi8naVT5rpn5KZANIWwhtUt+IPd1f4zxYJ7fazyagHNDCNUjbDVbRdqCZr2LJEnSWGR6UpF/y0NpJaWsMj3f8hBs/hRke6FuDZzx7hR0RtLbDP3tsPoGWHJFWsGRxinfYebPgEtyX6/LfUWAEEITuWCT+/5AjHFHnt9/NPcCLwIuB342+GSucP9iUgiTJEnSyfS1wNYvQM8+mHNK6kgWs9D0Xdj9zXTPog1wys0j173ELHTtgqrFcOavQ92o5RDSSeU1zMQYbxl8HEJYAlxKCjbPyn1/OfAKhgJOC0MrN/83n3M5xpeAPwbez7AwA7wDqAO+UMD3liRJmhk6tsK2zwNhqLalryUV+R/elJ5f/SpY+eKR2y5n+qBrsFvZy6G8egonr5loShsAhBDmMbRyMxhwzgbKYozlExjvrcC63I/vBaqAv8/9vD3G+Llh9/4T8B7gduA7wDnA+4CfA8+PMWYn8plOpKGhIe7Zs+ek991yyy12KpMkSdNXjKnF8u5vQfViqJybnm95ELZ8FjKdqT7m1N9I9S8jGb6tbPHlox+WqVmjsbGRW2+9dSy37okxjriEV/RuZrmtXhfGGO856c3Hv/YOYJTWGNwZY7xu2L3lpJWZdwLrgYOkFZs/LVTDAruZSZKkkpfphV3fhOaNufqYqvTcjq/AgdyGl/nnpW1lVfOPf33MpLNjalbAutdC7cqpnb9K3pR1MzvJJOpIKzBHBYcYYw/HHGY5VsPDyhjuzZBWbf7+ZPdKkiQJ6D2U2i73HMjVx5RB545U5N+zF0JFOhdm+fNHLuDP9EDXblh2Dax80VCjAClPCh5mQggvBv4GuCD3cyup4P7TMcZvFvr9JUmSNAHtz6RC/7KKtCITs7Dnh7Dr9rTaUrsSTnt76lo2kp79aQVn/Zth4YVTO3fNGgUNMyGE64D/BgLwONAMrARuAG4IIXwfeN00PJdGkiRpdsoOwP47U3CpWZbOfulrgy3/AYcfT/csuxbWvGbkbmXZPujcDXPWwZqboGbplE5fs0uhV2ZuIR1GeX2M8d7BJ0MIq4D/C7wb+E4I4bpCFOBLkiRpHPpaYMfXoGMz1K9NqzItD8HWz8JAB1TUp9qYhReN/PrufemMmYaXwdIr0+ulAir0/4VdBvzn8CADEGPcDbwvhPAQ8Angt4GPFXgukiRJGk3roynIhJDqY7J9sO0/Yf8d6fq8c1K3sqoFx792oDMFmblnpm5lNUumcOKazQodZgZIW8tGFGP8VAjhbcCvY5iRJEmaepk+aPoOHPwl1DZARW061HLzp6C7CUJ5OjtmxQuOL/KPGejak86LOeXNMP98Wy5rSo3QdiKvNgHPOck9d5HOmplxmpqaCCGc9MszZiRJUlH0HIRnPp7aLs85BcprYO+P4bG/SkGmZjmc+0epE9mxQaavLXU2W3wZnP17sOACg4zGpbGxcUy/KwMjnjEDBT5nJoTwXuDDwLtijJ8c5Z5PAG+MMc4p2ESKxHNmJEnStBQjNN8Pu76RVlVqlkL/YdjyGWh7NN2z9GpY+7p0/ajXZlO75cp5sO51UL/u+PGlPCrmOTMfA94EfDyEcBnwtzHGZ4ZN7BLg9cD9BZ6HJEmSINW37PoWtDwIdQ1pNab10dStbKAdyuvglLfComeN8Nou6N4DS66AlS9JW9KkIipomIkxZkIILwK+BrwDeHsIYTewA1gAnANE4NZCzkOSJElAxzbY/l+Q6R5W5P/F1IoZYO5ZcNrboGrh8a/t3pO+n3IzLDh3yqYsnUjB++XFGNuBF4UQXgu8HbgKWEMKMQ8AH4wx/qjQ85AkSZq1shk48DPY832oXgzVq6B9c1qN6d2fivxX3TBybUymD7p3paCz5saRu5lJRTJlzb9jjF8BvgIQQlgA9MQYe6bq/SVJkmal/sOp5XL7JqhbC0TYeRvs+UF6XLsKTn0b1K85/rU9B9IqzupXweLLjw86UpFNWZgJIdQBZTHGjhhj61S9ryRJ0qzV+hjs/Foq+J9zKnTuhC3/njqVEVLdy6pXQFnl0a/L9qci/7rVsPYdULOsKNOXTqbgYSaE8GLgb4ALcj+3Aj8FPh1j/Gah31+SJGnWGeiGPd+Fg3dD7YpU5N/0Hdj9rdSNrHpZOgBz7mnHv7a3Oa3mrHwxLL0Kyqbsv31L41bQtcIQwnXAf5OCzOOkM2UOATcAt4cQvhNCmHEtmQd5zowkSZpyndth0z9B8wOpyL+/HR7/UGrDHLOw7Do4/4PHB5lsX2oQUF4DZ74Hll9rkFFBlcI5Mz8BLgWujzHeO+z5VcD/Bd4N/AK4LsaYLdhEisRzZiRJ0pTJ9MG+H8O+O1KRf8Uc2PtD2P1tiP2pQ9kpN8P8c45+XYzQszc1CWh4caqNOXbbmVRExTxn5jLgP4cHGYAY427gfSGEh4BPAL9NOpNGkiRJ49W1C7Z/Cfpa0iGWXTtg00dSFzKAxVfAutdDRd3RrxvohJ59MO88WPVyqF409XOXJqHQYWYAaB7tYozxUyGEtwG/jmFGkiRpfLIZOHBXarlcNR+ql8KOL+fOjYlQvQTWvxnmH3MuTMymJgBl1bD+rel62s4jlZRCh5lNwHNOcs9dpJUZSZIkjVXPwdSprHM71DZA26Npdaa/NbVQXvFiaHg5lFcd/bq+NuhrhsWXpSL/ivqiTF/Kh0KHmc8DHw4h/FaM8ZOj3LN4CuYhSZI0M8QsHLo31cKUV0PlPNj8CWh9OF2vPwVOeSvUrTr6ddl+6GpKtTOnvyO1apZKXKFDxMeANwEfDyFcBvxtjPGZwYshhEuA1wP3F3gekiRJpa+3GXZ+HTqegpoGOHgX7PomZHtTF7LVN8Kya44+3DJG6Nmf7llxPSy9+vjVGqlEFTTMxBgzIYQXAV8D3gG8PYSwG9gBLADOASJwayHnIUmSVNJiNrVa3v2tFFRCBTz596nQH2Dhs1KBf9WCo1/X3w49B1IHs4aXQ82SKZ+6VEgF394VY2wHXhRCeC3wduAqYA0pxDwAfDDG+KNCz0OSJKkk9TanM2IOP5W6je39Aez9ERDTlrF1b4SFFx39msEtZZXz4bS3wdwzLfDXjDRltSoxxq8AXwEIISwAemKMPVP1/pIkSSUlZuHQPdD0nbQSk+mAx/8tFe8TYPn1sPqGtL3syGsGz4zph5UvgiVXuqVMM1rZyW+ZuBDCRSGEm0II84c/H2NsnQ1BpqmpaUynmjY2NhZ7qpIkaTrpOQDPfBJ2fgPKqmD3N+Gpf05Bpm4NnPcBWPe6o4NMfwd0bIU5p8HZvw/LrzXIaFprbGwc0+/KQMNoY4QYY8EmGEL4L+AG4NQY496CvdE0tWHDhrhx48ZiT0OSJJWKbAYO3Z1WY8qqoH0T7LwdMt3p51U3wIrnQygf9pp+6N4DFXNg9atg/tlFm75UCCGE+2KMG0a6VuhtZlcC3x8tyIQQzgI+Avx1jPEnBZ6LJEnS9NW9B3beBl27Un3L1s9Cx+Z0bf4FsP6NUL146P4YoWcfZPtg+fNg6VVHr9RIs0Chw8xy0sGZI4oxbgohrAbeCxhmJEnS7JPpg/0/hX0/TufGtDwEe7+famYq58G6N6RuZcML+Ae6oHsvzDsbVr3CLmWatQodZlqB+Se5527g+gLPQ5Ikafrp2AY7vgZ9LTDQAZs/Bb37gQDLrk3bxirqhu6P2bSCU1YB698ECy6wS5lmtUKHmXuAXwsh/EGMsXOUe/YDywo8D0mSpOljoBP2/g8c/CWUVcO+H8GhX6VrtQ2w/i0w97SjX9PXAn2tsPgyWPEiqJwz5dOWpptCh5lPAN8g1cW8fZR7Tge6CzwPSZKk4osR2h6HXV+HgZ5cnczXUrgJlbDq5bDihWnlZVB/B/QegLrVsPb1MGd9sWYvTTsFDTMxxm+FEP4TeFsIYRXwRzHGBwevhxBeBLwS+HEh5yFJklR0vc2w+7/h8GNpu9iub0D7U+navHPStrGaYZtVBrpTgX/VQlj/Zph/LoSCnqohlZypODTzrUAb8NvAC0MIu4BtpK1lZwIR+NAUzEOSJGnqZQdyh19+D7K96fH+nwLZ1E557Wth8bOHal8GWy2X18KaV8PCi49eqZF0xIT/lxFC+DHwEPBnMcbm0e6LMWaBd4cQPg/8L+CFwHNzl58C/jjG+KOJzkOSJGna6tyR2i1374XOrdD032lLGQGWXQerfm2o9uWoVsvXwZKroKK2iJOXpr/JxPzrgGtJdTGjhplBMcZfAL8ACCHUkw7s7JjE+0uSJE1PA52w90epwL+vOR2C2bUrXZt7Jqx7faqBGdTXmrahLbgAGl5y9HkykkY1pWuWIYT5wGXA/SdazZEkSSpJ2Qy0PpRWYLoPwsGfQ8t96VrVYlh709FnxgwW99c2wBnvhDmnFm/uUgma6iqy1cAPSO2YZ7ympiZCCCf9amxsLPZUJUnSZHVsg6c/Blu/CAd+AZv/JQWZssq0nezCRlh0aQoymZ50f3YgFfef+bsGGc06jY2NY/pdGWgYbYwQYxzTm4UQ/hK4F7g3xrgrhJAlFe9fEGN8fIxjnAc8AsQYY/mY3riEbdiwIW7cuLHY05AkSYXU1wZ7fgCH7oOeXdD03bS1DGDRBlhzE1QvSj9nB4YOvVz54hRuyiqLN3epBIQQ7osxbhjp2ni2mf0RKbwQQjgw7PmXhxDKgcdjjJmTjDFYxZYdx/tKkiRNP9n+1Jlszw+gZz/s+/FQq+XBM2HmnZl+jlno3gexH5ZeA8uugor64s1dmiHGE2Z6gJrc42FN0Pnr3FdfCOFx4AHgwcGvY4r8r8l9b53AXCVJkoovRmh/BnZ9E7p3Q/NGOHAXEKG8Hta8EpY+d+hMmJ4DqSHAwktgxfVDqzSSJm08YWYucCFwOamI/zdzz+cq2KgGLgEuHvaaGELYCjwJVALPJ63u3DPxKUuSJBVJ9z7Y811ofRw6nkmrMplOoAyWXQurbxhacelrSx3K5p6eOpTVrSrq1KWZaMxhJreF7IHc18dDCINh5gbSis3Fw74Gi3QCcBpw6rCfM8DfTW7akiRJU6i/HfbdkVot9+xNIaZ7d7o276y0pWwwrAx0p3NlapfD6W+HOacNdS+TlFeTac28H1gKbMk1APjq4IUQwhKGVmkuBs4C6oAtwIdjjD+ZxPtKkiRNjUwfNN+bwktfS9pO1vJAula1GNa+Jm0fC2GouL+8Bta9DhZcCGUzvt+RVFQTDjMxxhW50NI+wrWDwA9zX5IkSaUlRmh7AnZ/C3r2QesjsP/OVMBfVgkrXworXwhlVRAz0LU3nTGz7BpY9lyoqD35e0iatEkdmpkLLZIkSTNHV1M69LLtKWjfBPt+BJmudG3RZbDm1amIP2bTdrJMDyy5PNXMVC0s7tylWWZSYUaSJGnGGKyLOfCLVNy/7yfQdyhdm3tmOi9mzvr0c28z9LfB/PPTCk3NstFGlVRAhhlJkjS7HamL+SG0Pw0Hfgpdu9K12oa0EjP//FQXM9AJ3fuhfg2sfyPUryvu3KVZzjAjSZJmp+wAtD4Ke74Hh5+Ggz9P28ogbRdb9Wuw5Mp0XkymNxX3V8xJIWbB+UPnyEgqGsOMJEmaXWIWDm+Cpu9A+2Y4dDe03J+uldfCypfAiuen4v5sP3TthrIKWPVyWLQByquLO39JRxhmJEnS7NGxLYWYw0+lAHPwlxAHIFTA8utSl7LKObkOZbtT8Fl2LSy9cugwTEnThuujBdTU1EQI4aRfjY2NxZ6qJEkzW/c+2PJZeOqfU7vlzf8GB36Wgsziy+HCW2Hta6GiLnUo69yZVmHO+d+w8gUGGakAGhsbx/S7MtAw2hghxjh1M55lNmzYEDdu3FjsaUiSNHv1taauZAfvTlvL9t8J/S3p2rxzUnF//dp0rkzvwVTgv+ACWPECqFla1KlLSkII98UYN4x0zW1mkiRp5hnoSi2W990BnZth/0+huyldq1uT61B2bvp5sM3ynNOh4cVQt7po05Y0PoYZSZI0c2R6ofk+2PvDVB9z4K50ZgxA1WJY/UpYfFnqRNZ/GHoPpXCz7vUw55SiTl3S+BlmJElS6csOQOsj0PRd6Nyezo1peSBdK6+HhpemAv+yyrSVrOcAVC+FU38D5p5hm2WpRBlmJElS6YrZdNDl7u+k7y33waF7gQihMrVYXvmSVNif6YaO3VA5P63EzD8fysqL/QkkTYJhRpIklZ4YoWNzOvCy7cnUZvnQPamlciiDJVdDw8ugehFk+qBjezpDZvWrYNElaYVGUskzzEiSpNIRI3RuhabvweEnoeVBOPgriP1AgMVXwKpXpE5k2f7UYjmUp9WZJZdBeU2xP4GkPDLMSJKk0tC5A/b8ENoehdaHUreybG+6tujSFGJqG1L9TNeuFHyWXQNLn+M5MdIMZZiRJEnTW1cT7P2ftArT9ggc+Hmqf4F0JsyqG9JZMdkMdO1OW82WXgVLngNV84s6dUmFZZiRJEnTU/e+dOBl833Q9nAKMQOd6dq8c2D1DTDn1BReBkPMkitTkKlaUNSpS5oahhlJkjS99ByE/XfAwXvg8GMpxPS3pWtzTktnxcw7K3Uy696TCvyXXJ62lFUtLOrUJU0tw4wkSZoeeg/B/p+mWpi2R+HgL4dCTN3aFGLmn5d+7jmQVmkWXgzLnw81S4o2bUnFY5iRJEnF1dsMB34G+3+eCvsP/goGDqdrtath1cth4SUQQrq3rw3mnQkrXwx1DcWdu6SiMsxIkqTi6D2UtpDt/1kq7j90Nwy0p2t1a1OIWXBhOjemrw36mqFuTTrwcs4pRZ26pOnBMCNJkqZW9144cBcc+CW0PpgLMbnC/vr1qcXy/PPTSkz/4RR6apbDqW+DuaencCNJGGYkSdJU6d6TupMd2ji0EpPpStfmnAoNr4D556YQ09cGfS1QvQTWvzl1LysrL+r0JU0/hhlJklRYXU25FsvDQ0zunJg5p6eVmHln50JMC/S1psMvT/n1VBvjSoykURhmCqipqYkQwknvu+WWW2hsbCz8hCRJmkpdu2BvLsQ03w/N90K2N12be1aqiZl7Zq6w/1DaUla3FtbclFZqDDHSjNbY2Mitt946lltH7fQRYoz5m5GOsmHDhrhx48ZiT0OSpKkTI3RuTSGm5QFouS8depntT9fnnwsNL4O5Z6R7+w5BfzvUnworX5BqZsbwHwIlzR4hhPtijBtGuubKjCRJmrxsBtqfgr3/A22PQ8v9aTUmDqTrCy5KIWbO+vRz78EUYuacnmpi6tcVbeqSSpdhRpIkTVymLx1wufdH0P7MUIghCwRYdCk0vDS1VIZ0Tkx/W1qJWfemoXAjSRNgmJEkSePX3wHND8D+O4ZCTNtjQATKYPEV0PASqF2Z7j8SYtanc2LcTiYpDwwzkiRp7Hqb4dA9sP/n0PFUqofp2JyuhQpYcgWsfAnULIWYhZ796QyZ+lNh3eug/hRDjKS8McxIkqST694HB36Wzog5/ETqTNa9J10rr4Vl18Ly50PVfIgZ6NqTOpfNPw+WXQP1a4o7f0kzkmFGkiSNrmsX7LszdSZrezStyvS1pGuVC2DFC2DZ1SnQZPugc1dakVmyAZY8B2qWFXX6kmY2w4wkSTpajNC5Dfb+GFofgtaH4dC9kOlK12tWwMoXweJnQ1lFqp/p3g5lVbD82lT0X7WgmJ9A0ixhmJEkSUk2A+1Pw74fQ+sjaTWm+X6IuTNi5pwGK18MCy5IB1r2taZVmqpFsPamdIZMeU1RP4Kk2cUwI0nSbJfpgZZHUohp35SK+lsfIXUmAxZcmELM3NOPPuiybg2suiEdgFlWXtSPIGl2MsxIkjRb9ben4LLvjqGDLo90JiuHxZen7WS1DSnE9ByAgY60QrPujbZXllR0hhlJkmabngNw8G448PNUD9O8EXr3p2tlNamgf8ULoGphKubv3ptWb+adlTqW2ZlM0jRhmJEkaTaIEbp2pM5kzfdBy4NpJWagI12vWgjLr4elV0NFba69chNk+9M2s+XXDB2AKUnThGFGkqSZLJuBjmdg749yAeaB9D0OpOt1a2HlC2HhpanuJdsPXbtTmFl0aQo3NUuL+QkkaVSGGUmSZqIjRf0/SVvJWu5Ph10OWnABrHghzD0z1b1keqCzCQiw9Dmw5NlptUaSpjHDjCRJM0lvMxzaCAd+mg65bL4vHXwJECpgyZWpHqZ2RXpuoBN6DqaWyiteCIueBZVzijd/SRoHw4wkSTNB1y7Y//N0uGXrQ9ByXzoDBqBiDiy7Lh1oWTkv1c/0NkP/4bT6svYmmH8elFcX9SNI0ngZZiRJKlVHDrkc3Er2UKqJyfak6zXL0yrMkiugrCrVwXTvgUwv1K+DNa9ObZY9I0ZSiTLMSJJUaga606GWe3+ctpK1PpjOiRk85HLumWnL2ILzIZTlivp3pTbLC5+Vwk1dQzE/gSTlhWFGkqRS0deS6mH23ZnbSvYgdA/Ww5TDostgxfVQvzY9l+mBnv1AOSy9KlfUv6BIk5ek/DPMSJI0ncWYVlUO/AIO/iqtwrTcn+pdIFcPc236qpqfnuvvgN6DUF4HK14Miy6xqF/SjGSYkSRpOsoOQPtTsO8OaL4/rcK0PgyxP12vbUirMIsvz9XDDC/qXwRrX5sr6q8q5qeQpIIyzEiSNJ30t6dC/n0/yR1y+SB0bhm6Pv+CFGLmnZ3Ohxle1D/nVFhzE8w9LdXKSNIMZ5iRJKnYBreSHbonbSdreSBtJxtsrVxWnc6HWf68ofNhMn2pHiZm0zayJVda1C9p1jHMSJJULJkeaNuUDrgcXIVpfWRoK1n1shRgll4J5bXpucFDLssq07kxizYM1cpI0ixjmCmgpqYmQggnve+WW26hsbGx8BOSJE0PPftTHcyBX0DbY2kVpmP4VrLzYPnzYf65Q9vF+lqgrw0q58PqV8HCC6C8phizl6S8aGxs5NZbbx3LraMuO4cYY/5mpKNs2LAhbty4sdjTkCRNB9kMdGyGA3dBy8PpfJiW+4/eSrb0ObDsuqGtZDGTgk+mN7VbXnYdzD0dyvxvkZJmjxDCfTHGDSNd8/8bSpJUSP2H09ax/T+D9qdTR7KWh068lSzTCz370hmYiy7O1cOsKtYnkKRpyzAjSVK+xSx0boMDv0pBpv3p3FayzUP3jLSVrL8deg+l7WPLr4dFz7IeRpJOwDAjSVK+DHRC62Ow/07o2g2HH4fmjSNsJXse1C5Pz8Us9BxIr61ZBmtflwKO58NI0kkZZiRJmqyuJmi+Bw7dn858aXskFfifaCtZth+690EcSGfGLHsu1K/zfBhJGgfDjCRJE5HphcNPpbbKnbugczM0PwAdzwzdM//8FGKO2krWkbaSlVWkVZpFG6BmSXE+gySVOMOMJEnj0b03dSE7eA/0t8HhTXDoV8O2ktUM60o2fCvZfhjogqrFqbXygvOgoq5Yn0KSZgTDjCRJJ5Ppg/anUkeyrl3QezBtJTu0cWgrWc3yFGCOOuCyO9XDEFPB/9Ir3UomSXlkmJEkaTQ9B6HlATj4yxRMunfBobtTd7JBx24li9kUdvo70gGXq16a7rErmSTlnWFGkqThsgO5wy1/Du3PpFWZjqfSYZcn2kqW7YOufUAW5p4Fa58D9adAWXmxPokkzXiGGUmSIK3CtD6SVmEyndDXllZlDt179Fay5c9Lh1iW16TnjhT0V8Kya9LZMNWLi/c5JGkWMcxIkmavTF8q4D/4y3TIZcxA5/b0c9eOofvmn5874PKc47eSVS2EtTflzoapKdpHkaTZyDAjSZp9evanNsoHfwXZ3rQS0/wgHLoHsj3pnvL6VLC/7Jq0IgPpbJiupnQ2zNwzYe3VMOdUC/olqUgMM5Kk2SHTl86A2X9XbhUmQvdOOPAL6Nw6dN+c04e2i5VVpuf6D0NvS/rZs2EkadowzEiSZrae/dDyUK4Wpid9tTyYzobJdKd7ymtTHczS50JdQ3ouZqF7X7qndjmsfS3MP9utZJI0jRhmJEkzT6YXDj8FB3+RamAi0L0bDv48dSobVH9KbhVmA5RX5V7blwIQGVhwESy5AurWQAjF+CSSpBMwzEiSZo7uPdB8f+pAlu1LNS4tudqYTGe6p6wGljwblj03hRRIW876WqDvcFp5Wf48WHQJVC0o2keRJJ2cYUaSVNoGulNHsgN3QXcTEKCnKdXCtD81dF/d2rQKs/iyoa1i2X7oOZCCT/06WPVrqWZmcJVGkjStGWZmuPV/9N+jXvvLGy/gTc9eC8AX797BH9/+yKj3bvvrlx95/Ip/+hmP7j484n1vvHwNf/XqCwF4ZFcbv/bPd4065rfeczUXrE4nYn/gtof5z3t2jnjf+avm8e33PvfIz34mP9NI/Eyz+DMt7OTbL34otVVufYD1339f7sprjv9MV7fwpmVd0N/BFx+v4I/vPQ1YP+yOrbkv/578TH4m8DP5mQ4f9dx0ZJiRJJW22A+7bofDT+SeeN/o9/a3Q8dOqF4CC58FtE3FDCVJBRJijMWew4y1YcOGuHHjxmJPQ5JKW3YAOrambmSHN6UzXUKAQxtTQX9/7r+GllWmQv5l16TC/sGC/Uxv2koWMzD/vNRauX6tZ8NIUokIIdwXY9ww0jVXZiRJ01PPAWh9OBXvD3RCRS30NafamLbHSC3KgNqVsPSaVNRfUZ+eixF6m9NKTHktLL8uV9C/sFifRpJUAIYZSdL0caSl8s+haydQllZcWh9JIaa/Nd0XKtKhlsuuhTmnDa3CZPuge39ahZlzCqx+Fcw9bejwS0nSjGKYkSQVX/deaLkfDt6TamAq5kJfWwowrQ9zZBWmZnk62HLJlVA5Z+j1fW0p6IQqWHp1WoWpWVqMTyJJmkKGGUlScQx0pRqYg7+AriYoq4Cyajj0QAoxfc3pvlAOCy9JtTBzzxy2CjPYVrkf6hpg5Utg3plQXl28zyRJmlKGGUnS1IlZ6NwBzfdBy4NAhMp56UDLPT+F1ofSPZA6ji19birYr5w3NMaRVZjKdGbMomeluhlJ0qxjmJEkFV5vM7Q+mjqS9belovzyOmi+Gw78HHoP5m4sG1qFmXf2UMex7AD07B+2CvNimHeWqzCSNMsZZiRJhZHphfZnUoDp3AqUQdUC6DsEB35xdEeyqsWw7GpYchVUzR8ao/8w9LakLWiLLoPFl7oKI0k6wjAjScqfmIWuXdDyADTfD3Egt0WsPNXGHMq1WYZcLczFsOQ5MP/cYasw/blVmIEUXNa+Jq3SVNQW61NJkqYpw4wkafL6WtNKy4FfpMflVakjWcsDqc1y5/ahe2tXw9KrYPHlQx3Jhp8LU1aZzoxZeImrMJKkEzLMSJImJtuf20b2q/Q9hHQoZbYb9v0PND+Q2ixDqo9ZfFkKMXVrhzqSZbqh5yCQhfrTYPUr07kx5VVF+1iSpNJhmJEkjU/Pfmh5KNXCZHrSNrKKOjh0d25l5tDQvfPOSd3IFl4MZbmAErMpwGS6oGIOrHghLDgfqhcV5eNIkkqXYUaSdHID3XD4KTj0C+jcCaEircJ07YRdX4fDT3JUMf/SK9PBltVLhsbo70hBJ4ZUI7Pkcqg/BcrKi/GJJEkzgGFGkjSyo86EeQhiJtdpLMCBn8Ghe9LqCqRws/CStI1s3lnHFPPnDrasXgKrboD55xx9bowkSRNkmJEkHa2vBVoeTd3H+tugvCZtB2u5L20t69o5dG/d2lwx/2VQUT9sjGMOtlx4MdQ2DNXKSJKUB4aZY4QQfhe4GbgQ+FWM8bpjrlcAfw+8FSgDvgr8boyxd4qnKkn5k+mDjs1w4JfQuRkog8r56TDLg7/KnQmTTfeW16duY0ufA3Vrho3Rk2ph4kB6fuVLYN4ZKQxJklQAhpnj7QH+GrgMuHKE638MXAucD/QD3wT+Cvj9qZqgJOVFjNC9G5ofhOaNaStYRX067PLQ3Wl7WaY73RvKYP4FqQ5mwYWpfTJANpMCT6Y7vXb5Nem+2uVF+1iSpNnDMHOMGONtACGEtaPc8lvA78cYm3L3NQL/FUL4gxhjdmpmKUmT0NcKbY+nVZj+5rQVjAitD6UQ03tw6N76dbD4Cli8YajOJca0Fa2vLVcrcwEsuhTq1lnML0maUiUbZkIIHwCeBVwKnAJsjzGuH+XeMuB/Ae8C1gMHgC8Dfxpj7BzHey4A1gAPDHv6fmDw+e3Hv0qSpoFMD7RvTlvGOrYAASpqoGNbqoPp3Dp0b9VCWPzstJWstmHo+YFO6DkERJhzKqx8Gcw9HSpqp/jDSJKUlGyYAf4SaGYoTJzIPwDvA24n1buck/v5khDCC8axojI3971t2HOtx1yTpOkhOwCd26HlQWh9OG0jK69L7ZEP3Q2tj6QOZQBl1bDoWbDkCph75rBuZAPQuz/V1FQthFUvS22VqxYU61NJknREKYeZ02KMWwBCCI8Cc0a6KYRwHvBe4LYY403Dnt8KfAR4A/DFMb5ne+77fGBwH8aCY65JUvHELHQ3pfBy6D7I9kCohoEuaL4XDm2EzOCCdO68l8VXpG5j5dVD4/S1pk5moSKFnIXPgrpVQyFHkqRpoGTDzGCQGYM3AgH48DHPf4JU6P8WxhhmYoytIYSdwMXA5tzTl5BWZ3aO8jJJKryeg6kO5tDduZbIFUAZtD6anuvZN3Rv7aq0ArP48qNXWDJ90LM/dSOrXwsrX2o3MknStFayYWYcLiP1E71n+JMxxp4QwoO560fkWi8PfpWFEGqAbIyxL3fLJ4H/Xwjhl6RuZo3Apy3+lzTlBjrh8KZU89LdBJRBRV06B+bgr6D96aF7K+cN1cEMb6ccM9B7KK3clNfCsufCwougZtmUfxxJksZrNoSZBuDgKOfA7AaeE0KoGhZWPgjcMuyebuBO4Lrcz38JLAEeI50z8xVSu+bjNDU1EfJ4QNwtt9xCY2Nj3saTVIKyA9C5DQ7dm85+iRGq5kH/4RRgWh6C2J/uLauEhZekbWTzz4aQ6zQWY9pC1teWto0tuCBtJatfD2Wz4Z8FSVIhNTY2cuutt+ZzyIbRLoQYYz7fqCgGa2ZG6mYWQtgMVMYYj2u1HEL4LOnwy4UxxtZ8z2vDhg1x48aN+R5W0mwTs9C1G9oeTWe/DHSnVZRMZwo1h+6BgcGyvZAK+JdcAYsuSfcNGuhKqzAxm2u5/Oy0jayirigfS5KksQgh3Bdj3DDStdnwn+C6gNH2S9QMu0eSpo8YoXsPHH48BZb+jrRqEiqh/cm0CtPdNHR/zYpcHcyzoXrR0PPZAeg9kOtGtgBWvjgV/Q+/R5KkEjUbwkwTcG4IoXqErWarSFvQ+kZ4nSRNvb4WaHsiHWjZ15wOoSyvg+5daQXm8CYgt6JeMQcWX5a2kdWvg8FtrcO3kZUNdiO7BOpW241MkjSjzIYwcy/wIuBy4GeDT+YK+y8GflqcaUlSzkBnOtDy0N2pHoYAlXOh72AKMK2Ppg5jkLqULbgwrcLMPz+FnUGZHug5kIr67UYmSZoFZkOY+RKpQP/9DAszwDuAOuALRZiTpNku0wMdW6F5Y1ptiREq69N2suZ7ofmBdEYMAAHmnZVaKS+8BCrqh8aJGehtTvUwFfWw/Hkp7NQsKcrHkiRpKpVsmAkhvBVYl/txKVAVQvhg7uftMcbPAcQYHwkhfBR4TwjhNuA7wDnA+0hdysZ6YOa4jbWbmV3KpFki0wed26HlQWh9JK22VNRDti+FmkMbhxXykyvSvxwWbTj6PJgY01kyfYfT1rL556X76tcfvVIjSdI0No6uZzOvm1kI4Q7g2lEu3xljvG7YveWklZl3AuuBg6QVmz+NMXYUao52M5NEdgC6dkDLwynExP5cJ7I+aNmYivt7Dw7dX7M81cEsuhxqlx89Vn97qqOJwJxT031zT7cbmSRpRpuR3cyGh5Ux3JsB/j73JUmFlR1IB1e2PpICTLYXyqrTtbYn0jayrl1D91cugMUb0upK3dqhQn6ATHcKO9kM1K6AVTekLWfDV2okSZqlSjbMSNK0ku3PBZhHjwkwMRdg7ksrNIPK61KXscWXw9wzju4ylulNASYOQMU8WP4CmH8O1IzWZV6SpNnJMCNJE5Xpgc4d0PpwruNY/9AKzOEnU4Dp3D50f1k1LLwo1cDMPxfKKoeuZftyKzD9KegseQ4sOA9qG2ynLEnSKAwzkjQeA53QsQ1aHoDDTwGZ1Po4lEPbo7kAs23o/iMB5tJUqD88wAxfgSmrgUWXwYLzoXa1hfySJI2BYUaSTqavFTq2QPOD0LllqI1yeXXaUtZ8H3RuHbq/rDq1R150aVpdKasaupbpht5DqaVyeT0suTJtITPASJI0boYZSRpJ7yFofyZX67IbCFA1N20Ba30wtVE+KsBUDQsw5x8fYHpyAaZyLiy9Buaf7RYySZImyTBTQJ4zI5WQGKH3ALQ/nc586d4PBKhekAJIy/3QfD90bB56TVkVLLggVwNzPpQPDzB9abzsAFTOg+XXwrxzUkcyA4wkSbP7nJlS4Dkz0jQXI/Tsg8Ob0kpLfzNpBWZRKuZvfiAFm6MCTCXMvyC1Up5/ftpqdmS8TFrRGehKZ8ksviyt1tSuPLrdsiRJGrMZec6MJE1INgM9e1LxfvN9qR4mlEH1Iqicn1Zfmu/LBZjcf+wJlbkVmNwWsvKaofFiBnqbU4AJZbn7ngX166HM/xcrSVIh+S+tpJlvoDud8dL6GLQ9lloqh3KoXpwOn2y5H3bcl2pkjgSYihRcFm1IAWV4gMlmoK85dTYLFamAf+HFMOeUo++TJEkFZZiRNPPEmFoed26HlodTBzJIXcaqF6VVlJYHYMeXUo3McQHm0rQ97KgAMwB9h2CgJ3Udm39eCjD16wwwkiQViWFG0syQ6YPuXan+peVhGDgMMdeBrG419OxPAab1IejYylEBZv55KcAsvDDVugzKZqDvYG4lpyKt0Cy4MBdgqkechiRJmjqGGUmlq68tHWDZ+jB0PA0xm+pUqhZB1fx0NszeH6cA07Nv6HWhAuafm1uBuQgqhgWYmE1byPo701gLzoeFl0Dd2qO7lUmSpKIzzEgqHTEL3XtTbUvrg9CdCyiVc1PHsJiBtidgz/+kgDPQPvTa8vq0srLwohRkjiriz0J/G/QdTl3H5p2VamWsgZEkaVozzBSQ58xIeZDpg66dcPhJaHlwqGtY1UKYsw7621NwaXkIDj8O2f6h11YvSSsvCy+Guaelov9BgwGmP7cdbc6psOIl6b7KOVP9KSVJmnU8Z2aa85wZaYL6WqFjO7Q9Cu2b0opLWVXaPlZenbaMtTyUvoa3UIZUz7Lw4hRiahuOPt8lxtwKTBuQCzCLLjXASJI0jXnOjKTpLTsA3U3QvjltH+s9mPJJZT3U5A6c7NwOTd9J9S/de4ZeG8rTtrAFF6cC/qqFx4/ffzgFpBhT2FnxAph7RtqeJkmSSpZhRtLUy2bS6krXrrQ1rGNLWn2hHKoXpsCR7U9by5q+l7aR9bcNvb68NtdZ7CJYcN7RHcgG9XekQv6YTSs0q26AeWemc2UkSdKMYJiRVHgxCz0HUu1L2xPQ8UwuvDBUvB/KU/1Ly0Np9aXtCcj2Do1RtSgV7y+4COaemc56OdZAVzoLJmahagk0vCzdW7Nkaj6nJEmaUoYZSYXR25y2jrU9kepeBrrT85VzoWZ5anscI/TsgYN359orb+Go+pe6NbkAc3E6K2akhhr9HdDXkgswC2D5C2H+2VCzbAo+pCRJKibDjKT86GuBrqbUNvnwk6lOJQDldSlkDIaLbCatzLQ8lAJM74GhMUJFrv7lorSNrHrR8e8TY2q53NsKRKhdBitfnLaQVS8dOfBIkqQZyTAjaWL6WqFrN7Q/BYc3wUBHChrlNenAyuphhfgDXUPhpfVRyHQNXauYk6t/ufD481+G62+H3hYgQl0DrH4uzD0dqhcX8lNKkqRpzDAjaWwGulJ46XgGWh+D/tYUXipqoHL+8asoPQdy4eXhFHhiduhazUpYmCvgn3NqOjdmJINF/ESoWQGrfy11IRtpxUaSJM06hhlJI+vvSC2Qu7ZD25PQszc9X1YBlQuhfu3R92f705kvrY+l82G6m4ZdLEuF+AsuTO2Ta5aP/J4xm7an9bel0pnaZRbxS5KkURlmCqipqYkwhv37t9xyC42NjYWfkDSaGFPNS8/eVIR/eFNuRSSkLmOV81Mx/rH/99xzIAWXtsfg8FNHdx8rr4H556cAs+B8qKgf5b0z6b37O9P7zVkHy6+HuaeOfGaMJEmaERobG7n11lvHcmvDaBdCjHG0a5qkDRs2xI0bNxZ7GtLxYjYdTNm9Bw4/DR1PpW1kMUJ5dQovFSOc3ZLpTUGn7TFoexx69x99vXZ1qnuZf27aDlY2yn8vyfalbmfZ3hSW5p6VupbVr4fKOXn/uJIkqXSFEO6LMW4Y6ZorM9JskO2Hnv2p5uXwJujckp6DdOBk5XyoHmEbV4y59sqPpa/2ZyAODF0vr4P558D881KAOdFKykBX7hDLDJTVpPAy/7y04lNend/PK0mSZgXDjDQTDXRBzz7o3JnaJHft5Mj5LRVzUgvj0VZNBjrTa1pzAaa/ddjFAPWnpBCy4Ly0kjJa8X7Mpg5kfW3pvasWwLJrU/1LbcPIh15KkiSNg2FGKnUxC72HcuFla1o96T1EOuQlpEMq61adOHR0bh9afenYylEHV1bOy628nAfzzjnxNrDsQKp/GehK712/NgWYOadawC9JkvLOMCOVmoHuFFy6d0P709CxLW3dIgtl1Sl8HNtp7Fh9banmpe0xOPx4Wo0ZFMphzulp5WX+uakO5kSNLDLdufqXASirTNvOFlwAdWutf5EkSQVlmJGms5jNdRnbl0JL+9O5ovvBVZc5ULNs9C1jg7IDqW3yYIDp2nn09eolw1Zfzhr94EpIdTSD7ZOJUDEPljwnva5uVQo0kiRJU8AwI00n/YdTu+PuJmjfnLZ/xf5hXcbmphWPMbT8pvdgCi6tj6UamOFtk8sqUwexwdqX6mUnHjObScX7R7aPrYKlz03tk6uXjm0+kiRJeWaYkYol05s6jPXszQWXrTDQQVp1KYPKeqg5QaH+ceP1QftTQ7UvPfuOvl7bMLT6Mvf0k6+gZHqh71DqehYqYN7Z6cyY+nVuH5MkSdOCYUaaCjGb6kp696ftYh3PpCCTLqYDJSvmQfXicYwZoWfPUNex9qePaZtcmwr2F5wH886F6kUnH7O/I21ri9k0p0WXw/yzU91MedV4PrEkSVLBGWakfIsxtTPuOZDOdenYnGpUYiZdL6vKbRdbM/7tWb2H0paxw09B+6YUPI4IqVXy/HPT6sucU1Ix/4lk+qC/BQZ60s81S2HFC9PKTe2K0TugSZIkTQOGmQJqamoijOGX1VtuuYXGxsbCT0iF0X841ad0NUHHllTnku1N3Y3LyqBiLtSsmNi5Kn0tQ8Hl8Kb0PsNVzB3aOjb/nBSSTiRmU+F+32EgQEUNzDsvrb7UrU6d0CRJkqZAY2Mjt95661hubRjtQogxjnZNk7Rhw4a4cePGYk9D+TTQBb0HoHtfWnHp3Ja2Zg2uYFTOSYdSTqSjV8wMreS0b07f+5qPvqe8DuaekTqHzTsbaleefPUk25e2uGV6071zT4P556f2zdVLXH2RJEnTWgjhvhjjhpGuuTIjjSTGtILReygV6Hduh86d6UT7QFp1qaxPKyPjqXMZLtufDqhs35QOuuzYenTHMUh1L3NOy4WXs3Jb08YQPgY6obcFyKQxFl6U6mfq15647bIkSVIJMcxImZ60ctHXAt17UnDp2pVaIg8ml4o5qSC+euHE3yfbn1ZyDj+Vtox1bMm9xzDVS9KBlXNPSyFmLCsvkFon97fkVolCarW84vpc7csYx5AkSSoxhhnNHpm+VJjf25y2inXuSKFl4DBQlupJyipTaBlPS+QTvV/n1tRlrP3ptG0se0x4qV0F886EuWem8FI1fxzjd6fPEgdSof/cs2DBBal18njGkSRJKlGGGc082f60ytLXkusotgu6d+c6f+VWWkKA8nqoqJvcastwA925epdceOncNtTBbFBtQwou885K38d7Xsvw1smV82Dp1amGpm7VxOp0JEmSSphhRqWrvyPXmas1ndnSvRu696bVlyNCCiwVdRNrhXzC928fCi7tT6fQxPCGGiG959wzcl+nj79bWIypW1p/W3pcsxRWvjiNVbM8v59HkiSpxBhmNL3FCAPtQystXbtSx6/uvUM1LTGbtoSV16bQUpnn0DLoSJvkZ1J46dlz9PVQns55GQwvc06Ditrxv0/MpPfq7ySdHbMGlj8P5pw6toMvJUmSZgnDjKaHGGEgt4WqrzkFlq5dx4eW8uoUWPJR03IyA52pUP/wk+mrZ9/R18sqU2CZe3raMlZ/CpRXTey9BtsnZ3tz9S9nw8ILUzga71Y0SZKkWcIwo6k30JlCS28zdDflQkvT0DkoUx1ahs+rY+tQeDl221hZde6MlzNzdSprJz63mE3b1Aa3j1Xk2ifPPy+NO9FQJEmSNIsYZlQYMZtqPfpaUw1L155U09KzNxXKh1whfllVOgiyevHUFrBnM9C9K4WXjq2p69ixKy+hYtgZL2enVZKy8om/Z6YnhbhMX/r8dWth6VUw55Rc/YvtkyVJksbDMKPJyfRAX9tQy+PupvTVeyAFmuHbw8proWoh1Cyb2jnGbGoQ0LkDurbnwsuO4894CRXpUMm5Z6bwMve0FLYm/L7Di/dJ28UWbUjj162eWD2NJEmSjjDM6OQGfynva0mhpXtvCiw9+1KdC2Uc2Y41WIRf21CclYaYTfPq3D4UXjp3plqUY1UvS6sic05J9S51qye/pS07kFt96YIYoH5Vrn3yaVC91O5jkiRJeWSY0dFiNq2w9B1KW8M6t0HXYBgYXGXJbQ2rmJu2hxVzrj17U2g5El5GCS6VC9JhkvVrc99PyV9hfX9H2k5HBkIlzD8XFpyftpFZvC9JklQwhpnZKtOXWh73t6dVl+7dKRB07xk66DGUQcWc1A642AcyxpjbKrY1F1y2pwL9kYJL1cIUWOrWDoWX8Z7vciLZ/hReBrrSz7XLYcX1aYWntmHqGhZIkiTNcv7WVUBNTU2EMWwruuWWW2hsbCzMJLr3plbHgwdL9uyH3oOQ6QTKIJA7p6UKKuqhdkVqDVxsg53FBovzO7amrVvHqlo0FFgGw0s+gwsM6zx2mCNNC+adCwvOTVvT8v1+kiRJs0BjYyO33nrrWG5tGO1CiDGOdk2TtGHDhrhx48biTSA7AI/+OcSB9HN5ba4Qv2Zyhe35NtCVtod17Uz1LSN1FgOonJ+rb1k/FF4KtY1roDvVvsQB0sGVa1Pb5Pr1qfPYZLqaSZIkacxCCPfFGDeMdM2VmZku9qdf/KeDGFNA6NoJXTvSNrHOnak+51ihMgWIOafAnFNTjUvVwsIV0GczqblBf0f6uWohLLkyHYhZtyoFQEmSJE0rhhkVTjaTgkvHM9D+NLRvTnU6xwqVKTDUrYa6Nbnak9WFX/3IdKdmB3Egba2beybMvwDmrE1hRpIkSdOaYUb5k+mBji3Q/kwKMB1bIdt39D0V9Wl72GBwqV+TOzByCrZtZQdS3ctAR1olqloAS54D886E2lWpS5skSZJKhmFGE9PXlraJde1M37t3pWYDHFODVbM8bdWac3r6PpVnrcRM7tDK3GpQKE/zmH9Oqn2pXuy5L5IkSSXMMKMTO9ISeftQcOnaOcp2sTKoWzcsvJw2tZ2+YnZYeIm58HIqLHteWgmycF+SJGlGMczoaP0dQ62QO7dCx7aRWyKX16SAULs6bRWrXQ11DVPbJS1m05axvrb0OJSlFZelz03NA2qWe+aLJEnSDOZverPZQFfusMydQwGm98Dx91XOSyFhsNalfg1UFWmL1kBnOjNnsGVy3SpYdDnMWQ81K6x7kSRJmkUMM7NBNgM9e1Nw6cp9de9KbZKPVVaZWjnXn5I706XALZFPJtufwstAbnWoenFaeZl7KtSshIra4sxLkiRJRWeYmal69sN9vwf7/gd6D6Vi+GOFyrQ1rHZ1WtmoPyX9PBWdxUYTs6nmpb8t/VxWDfPOSUX7dauhan7x5iZJkqRpxTAzU1XMge3/yZHuYtVLcjUuq9LWrNrVULM01ZkUU4xp61h/awoykFaGll6VVoZqlhd/jpIkSZqWDDMzVUUdXPlZ2Ps/sOhZ0+sE+yN1L7nVotqVsPB5ucMyV0J5dVGnJ0mSpNJgmJnJ1r0BDj9R/CCT7Uv1OZkeIOTqXq7OhZeGFLwkSZKkcTLMKP+OnPdyOP1cXgPzzoP5Z6etblN59owkSZJmLMOMJi/GdBbNka1jIZ3zsvSaXMvkZda9SJIkKe8MMxq/I0X7bSm8RKB2aa5o/9S0+lLsrW2SJEma8QwzGpv+jqM7jtWsgGXPTYdp1q6Eivpizk6SJEmzkHt/CqipqYkQwkm/Ghsbiz3V42X7oecAdGyHzh1QVgHLroPTfhPO+2M46z2w4gUw93SDjCRJksatsbFxTL8rAw2jjRFijFM341lmw4YNcePGjcWbQHYAHrklndtyMjHCQDv0tQHZ3GGV58KCcy3alyRJUtGEEO6LMW4Y6ZrbzGarkepe6lfB4ityh1WugLLyYs9SkiRJGpVhZraImVzdy2FScolQszKd91K/Lp33Ujmn2LOUJEmSxswwM+OFVPNCWWqXvOTKtG2sdoUdxyRJklTSDDMzWVkFrH8zVM5PZ72U+dctSZKkmcPfbme6+ecUewaSJElSQdiaWZIkSVJJMsxIkiRJKkmGGUl5MS0Pf5UkzWj+2yMPzSygoh+aKU2hEAL+/xNJ0lTy357Z4USHZroyI0mSJKkkGWYkSZIklSTDjCRJkqSSZJiRJEmSVJIMM5IkSZJKkmFGkiRJUkkyzEiSJEkqSYYZSZIkSSXJMFOiSuHE22LPcarfv9DvV4jxi/13pNLm//2c3Ez7M5run2c6zM9/e4ozpmav4KmphbNhw4a4cePGgoxdCifeFnuOU/3+hX6/QoyfzzGL/fetqeff+cnNtD+j6f55psP8/LdnasecDn/nKrwQwn0xxg0jXXNlRpIkSVJJMsxIkiRJKkmGGUmSJEklyTAjSZIkqSQZZgqoqamJEMJJv+zqIUmSpNmmsbFxTL8rAw2jjWE3swKym5ndzKb7+HaU0WT4d35yM+3PaLp/nukwP//tmdoxp8PfuQrPbmaSJEmSZhzDjCRJkqSS5DazAgohHAC2F2j4BqCpQGPnS7HnONXvX+j3K8T4+Ryz2H/fmnr+nZ/cTPszmu6fZzrMz397pnbM6fB3rsJbF2NcOtIFw4wkSZKkkuQ2M0mSJEklyTAjSZIkqSQZZiRNiRBCdQjhEyGELSGEjhDC0yGE9xd7XpKkmS2E8LEQws4QwuEQwu4QwodDCFXFnpfywzAjaapUAHuBFwHzgNcCHwghvL6os5IkzXT/DJwdY5wHXAxcBPzfos5IeWOYkTQlYoydMcY/iTE+E2PMxhgfBP4buKrIU5MkzWAxxsdjjJ3DnwJOL9Z8lF+GGUnHCSF8IITwldyWsBhC2HaCe8tCCL8XQngyhNCTW8r/+xBC/UneowK4Gng4z9OXJJWgQv7bE0L4oxBCO7AfuBD4p8J8Ck01WzNLOk4IIQLNwP3ApcDhGOP6Ue79R+B9wO3Ad4FzgPcCPwNeEGPMjvK6jwGXAVfFGPvy/RkkSaVliv7tOQd4K/CxGOOufH8GTb2KYk9A0rR0WoxxC0AI4VFgzkg3hRDOI/3jcVuM8aZhz28FPgK8AfjiCK/7e9KqzPMNMpKknIL+2wMQY3wihPAg8B/AC/I5eRWH28wkHWfwH5MxeCMQgA8f8/wngC7gLce+IITwYVITgOtjjAcnPktJ0kxSyH97jlEOnDGuyWnaMsxImozLgCxwz/AnY4w9wIO560eEED5C+i9hz48xHpiiOUqSZpYx/9sTQpgTQnhbCGFBSC4A/gT4/hTOVwVkmJE0GQ3AwRhj7wjXdgNLBnv5hxDWkbYFnA5szZ010xFC+O7UTVeSNAOM+d8eUueyNwFbgHbgG6ROmu+fgnlqClgzI2ky6oCR/jEB6Bl2T1+McTtpW4AkSZMxnn97OoEXTsmsVBSuzOj/396dx8pVlnEc//5YSmWVsgiy1hD2CtS2CgUpa8oiiKyi7ItQCKuiNoaWRBOUPWxCC2WxVRBBDVAkFkoQyiZrFQyxFCkF2lqqIGUpffzjfW/v6TAzd6b3zp07098nmZxz5rzvOe+Z23TOM+95n9esOz4AVqmwr3+hjJmZWU/xd48t4WDGzLpjNqk7v9yXykakxwCcrczMzHqSv3tsCQczZtYdT5P+HxlWfFNSf2BH4JkmtMnMzNqbv3tsCQczZtYdd5AGV55T8v4ppOeVJ/Z2g8zMrO35u8eWcAIAM/sMSccAm+XN9YB+kn6St1+PiNsBIuIlSdcCZ0q6G7ifNAvzWcAjVJi0zMzMrJS/e2xZKCKa3QYz62MkTQV2r7D7kYgYUSi7IunXsVOBzYF5pF/NLoyI9xvZTjMzax/+7rFl4WDGzMzMzMxaksfMmJmZmZlZS3IwY2ZmZmZmLcnBjJmZmZmZtSQHM2ZmZmZm1pIczJiZmZmZWUtyMGNmZmZmZi3JwYyZmZmZmbUkBzNmZmZmZtaSHMyYmVnDSbpFUkiaWWF/5NfY3m1Zz5A0onANxdeVXZQd0euN7SGSppa75ma3y8yWLw5mzMxaSJWb5pC0UNIsSZMljZK0erPba2Zm1kgrNbsBZmbWY/oDG+XXSOACSQdHxAvNbdZy50Tg6bw+r5kNabATgNXy+ijg9Ca2xcyWUw5mzMxa1/XAdYXtdYGtgPOALYHNgMmStoqI95rQvppFhJrdhh70WkRMb3YjGi0iXutYlzSnmW0xs+WXHzMzM2tdcyJieuE1NSJuAAYBD+UyGwKnNq+JZmZmjeNgxsyszUTEx8DYwlv7NKkpZmZmDeVgxsysPT1bWN+kXAFJK0jaU9Klkh6TNE/SJ5IWSHo+v79pLSeTtE3OWPaGpA/zcpKkoTXWr5jNTNLYWjJlSdq8cJzjK5TZQtKVkl6U9J6kjyW9lbcnSjpW0hq1tLmRJK0haUq+lsWSzirs+8x1SjpU0oOS3smf/6uSrpD0hRrPt3Uu/7yk+fkYM3IbzpNU9t+QmVmzecyMmVl7+rSw/kmFMhcCY8q8vxawQ36dLum7EXFPpRNJOgK4DVil8PbGwLeBwyWdVk/DG0XSocBElm4nwAb5NQg4GpgDPNC7reskaT1gMvAVYBFwQkT8qkr5ccDJJW9vAZwDHCtpv4h4qkLdFYCfAhcAK5bsHphfewIHASPqvRYzs0ZzMGNm1p62LazPrFBmJeAt4B5gGjAD+JDUk7MLKUPV6sAkSYMj4uXSA+Sel4n5WB8DVwH35uMMA0aTEhX8vdtX1A25h+JWUiAzl5Q44fG83h/4EjAc+GaTmghA7gl7kJTIYSFweETcV6XKKGAoqSfucuAVYB3gKOB4YADwgKTtI2J2mfrX0JmFbA5wLfAX4F1gbWAwcAjg+WPMrE9yMGNm1p6+X1i/s0KZ8cBFEVHac/Ms8AdJVwNPkFI9jwaOKXOM60jfJZ8CB0TEnwv7npJ0N/AkqZenmQ6gM43wXhHxUsn+acBESWeTgpteJ2kbUiCzMbAAODAiHuui2tBc58CSv+ODkp4AbiAFJZcA3yk53/50BjLPACMj4t8lx38IuNSPmZlZX+UxM2ZmbULSOpJ2lXQ/6REvSL+ylw1mImJmmUCmuH8W6SYY4CBJS6VPzr0yQ/LmhJJApuMYs4Hz67uShtggL98tE8gsERGfNCONtaRhwKOkQOZtYPcaAhlIvWEnlvs7RsSNwMN583BJ65cUGZ2XHwGHlQlkisd6o4a2mJn1OgczZmata0xhIHiQJmh8FNiPdJN7E7BfRCyq5WCS1pQ0UNJ2kraXtD3wQd69Jmn8RNHehfUJVQ59D6mnoZk6HrFaW9LBTW1JCUn7AFNIj4fNAIZHxIs1Vn8wIt6ssv/mvFyZwpgXSQNIjxIC3B0Rr9fVaDOzPsLBjJlZe/oHcGVEvF+tkKTNJF0taSbwH9LN9HTgpfy6sVB83ZLqg/JyMfDXSufIvQbP1dX6nvdH0jgQgHskPZyzdA2V1MxHrg8jjTFaHXiRFMjMqKN+2YH9FfZ/ubC+I9DR0/ZoHeczM+tTHMyYmbWu60kBxSBgJ9K4kBtI2csGAY9I2qpSZUn7kQbmnwlsVsP5PleyPSAv/xsRH3VR950ajt8wETEfOBD4F+kmfgRwGelmf4GkeyUdkbN79aYzgH6knrSDI+LtOuvP6WJ/8XNfp7C+XmH9rTrPaWbWZziYMTNrXXMiYnp+PR8R90fEaaTsU4tJwcYkSaUpd5G0DjAJWBV4nzTJ5s7A+sAqEaGIELBXsVrpYfKylkxXpXV7XUQ8DmxJyvR1O9DxaNVqpEDwDmBaTo3cW36Xl/2AOyWtVWf9rj77Wj53Zyozs5blYMbMrM3kVL6/zJuDSSl6Sx0OfD6vHxIRF0XEExExNyI+LpQb8NmqS8zPy7Uklc7dUqp08Hk9FnesdNFzslqVfQBExEcRcUdEHBsRmwObAt8DXshFhpF6t3rLNcB5eX0oKQtZPQFNV5NiFj/34gD/eYX1L9ZxPjOzPsXBjJlZe7oI+F9eHyOpX8n+7fJyfrksZAVDquzryAq2AmmCx7LymJQdqxynK8XsYmtXKbd1vQeOiDdy1q9hpLFCAN+QVPpIXcNExBV0ZnwbBvxJ0po1Vh/Wxf6hhfViFrfn6OyR+XqN5zIz63MczJiZtaGImENnD8MmwHElRToGvfev1NshaVXKzy3ToRgElR6/6BCqByFdKQ6IH1qxVMk8KvXIvVEdA+FXAup93KtbIuJyOucG+iq1BzT7SqrWs3JCXi4CphbONx/oSP18iKRaxkyZmfU5DmbMzNrXJcCHef3HJVm7Xs3LVYEjSivmcTbjqfIIUkQ8RZpgE+AkSXuUOc4GwKX1N30pj5NuxgHOLxd8STqGFDSVJWlktZt+Sf2B3fLmeyz9GFaviIjLgB/kza8BD0hao4tq/YDx5TKySTqJzjFPd0VEaRKGi/NyFeCunK65LE+aaWZ9lYMZM7M2lTNj3ZQ3B7J0z8WdpMkSASZIuljSXpKGSDoOeJI08WZXEzeOIgUaKwKT83F2yymPzyClbN6QzjEpy3Idc4Hf5M29gfsk7S9pJ0kHSroNuLWLth4FzJQ0WdI5kvbO9XeVdHKuu30uO67WuXl6WkRcClyQN3em64DmadK8QtMkHS1psKR9JI0HxuUyC+js9Sme6z46U28PAV6WdKGkPSTtmJfnSnoUuK37V2dm1vOamVvfzMwa7+fAKaRf8EdLuj0iFkfELEmnk3pf+gM/zK+iO0g3xBXH1ETEk5KOBW4h/cJfepxFpIBnOLBDN67jPNIN99bAyPwqmgKcBfytyjFWrlC36LfA6GVvZvdFxCWSRPrb7UIKEkdWmDPoOlKP0onAxDL73wUOqDKx5umkbHbnkpIFXFSh3CN1XIKZWa9xz4yZWRuLiDdIvRaQ0hIfWdg3gXQj/HtgLml+mreAB4AjI+Io4NMazvFr0jw3twOzSXOmvEnq/dk1IsZVqV7rdcwlPXr1M+AV0uNzC4BpwGnAvsAHVQ5xNvAt0s3/08Cs3M6FwD9JaapHRsQRNcyZ03AR8QvgR3lzOCmgWb1C2ZNIf9cppL/jR6RrugrYNiKmVTnP4og4n5Sg4TrgZdJjdgtJY5WmkD67o7p/VWZmPU8RTi9vZmbWHZJGAA/nzT0iYmoDz7U58FrePCEibmnUuWolaSwwBiDPT2Rm1iv8mJmZmVnPGiipI4HAvDx2qe1IGkjn3D7dmUfIzGyZOZgxMzPrWTcX1q8CzmlSOxptArB7sxthZss3j5kxMzMzM7OW5J4ZMzOzbspjZJarsSIRMaLZbTAzc8+MmZmZmZm1JGczMzMzMzOzluSeGTMzMzMza0kOZszMzMzMrCU5mDEzMzMzs5bkYMbMzMzMzFqSgxkzMzMzM2tJ/wfrovGbfLpp2wAAAABJRU5ErkJggg==\n", 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" ] }, "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", "plt.yscale('log')\n", "plt.xlabel('Radius [kpc]')\n", "plt.ylabel('$t_{cool}$ [year]') \n", "\n", "plt.plot(thermo_profiles['R_OUT'], thermo_profiles['T_COOL'], color='orange', label='$t_{cool}$ profile')\n", "plt.fill_between(thermo_profiles['R_OUT'], thermo_profiles['T_COOL_LO'], thermo_profiles['T_COOL_HI'], color='orange', alpha=0.4)\n", "\n", "ylim = ax.get_ylim()\n", "xlim = ax.get_xlim()\n", "\n", "thubble = 1. / (pyproffit.cosmo.H0.value * 1e5 / hydromass.constants.cgsMpc) / hydromass.year\n", "\n", "plt.plot(thermo_profiles['R_OUT'], np.ones(len(thermo_profiles['R_OUT']))*thubble, '--', label='$1/H_0$')\n", "\n", "plt.axis([xlim[0],xlim[1],ylim[0],ylim[1]])\n", "\n", "plt.legend(fontsize=22)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "MACS 0451 is a non-cool-core cluster, in which the radiative cooling time is much larger than 1 Gyr even in the cluster core. We note however that at the redshift of the system the resolution of the profile is insufficient to determine the shape of the cooling time profile in the innermost ~30 kpc." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Changing the smoothing scales ##\n", "\n", "As explained above, the choice of the standard deviations of the log-normal functions sets the level of smoothing of the reconstructed 3D temperature profile. Small values of $\\sigma$ similar to the example provided above allow the model to follow the data as closely as possible at the expense of relatively strong local fluctuations. On the other hand, larger values of $\\sigma$ impose a smooth 3D profile with better control over the temperature gradient, but do are insensitive to possibly real small-scale temperature fluctuations. \n", "\n", "Here we look at how the resulting profiles change when increasing the value of the _bin_fact_ parameter to 1.5 and 2.0" ] }, { "cell_type": "code", "execution_count": 15, "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", "Single conversion factor provided, we will assume it is constant throughout the radial range\n", "coefs -187.90419872441586\n", "GP -391.4670806758654\n", "Running MCMC...\n" ] }, { "data": { "text/html": [ "\n", "
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\n", " \n", " \n", " 100.00% [1600/1600 00:05<00:00 Sampling 4 chains, 743 divergences]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "Sampling 4 chains for 200 tune and 200 draw iterations (800 + 800 draws total) took 14 seconds.\n", "There were 187 divergences after tuning. Increase `target_accept` or reparameterize.\n", "There were 178 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The acceptance probability does not match the target. It is 0.6574660063976415, but should be close to 0.8. Try to increase the number of tuning steps.\n", "There were 183 divergences after tuning. Increase `target_accept` or reparameterize.\n", "There were 195 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The acceptance probability does not match the target. It is 0.7138455409965613, but should be close to 0.8. Try to increase the number of tuning steps.\n", "The rhat statistic is larger than 1.4 for some parameters. The sampler did not converge.\n", "The estimated number of effective samples is smaller than 200 for some parameters.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Done.\n", " Total computing time is: 0.2790591478347778 minutes\n" ] } ], "source": [ "NP_15 = hydromass.Mhyd(sbprofile=p2, \n", " spec_data=spec_data,\n", " redshift=z_m0451)\n", "\n", "NP_15.ccf = mhydNP.ccf\n", "\n", "NP_15.run_GP(bin_fact=1.5,\n", " nmcmc=200,\n", " tune=200)" ] }, { "cell_type": "code", "execution_count": 16, "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", "Single conversion factor provided, we will assume it is constant throughout the radial range\n", "coefs -187.90419872441586\n", "GP -391.4670806758654\n", "Running MCMC...\n" ] }, { "data": { "text/html": [ "\n", "
\n", " \n", " \n", " 100.00% [677/677 00:00<00:00 logp = -363.79, ||grad|| = 0.012854]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/deckert/opt/anaconda3/lib/python3.9/site-packages/hydromass/nonparametric.py:1129: FutureWarning: In v4.0, pm.sample will return an `arviz.InferenceData` object instead of a `MultiTrace` by default. You can pass return_inferencedata=True or return_inferencedata=False to be safe and silence this warning.\n", " trace = pm.sample(nmcmc, start=start, tune=tune)\n", "Only 200 samples in chain.\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using jitter+adapt_diag...\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Multiprocess sampling (4 chains in 4 jobs)\n", "NUTS: [GP, coefs]\n" ] }, { "data": { "text/html": [ "\n", "
\n", " \n", " \n", " 100.00% [1600/1600 00:06<00:00 Sampling 4 chains, 749 divergences]\n", "
\n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "Sampling 4 chains for 200 tune and 200 draw iterations (800 + 800 draws total) took 15 seconds.\n", "The chain contains only diverging samples. The model is probably misspecified.\n", "The acceptance probability does not match the target. It is 0.3814422734525634, but should be close to 0.8. Try to increase the number of tuning steps.\n", "There were 180 divergences after tuning. Increase `target_accept` or reparameterize.\n", "There were 176 divergences after tuning. Increase `target_accept` or reparameterize.\n", "There were 193 divergences after tuning. Increase `target_accept` or reparameterize.\n", "The acceptance probability does not match the target. It is 0.6293460276245902, but should be close to 0.8. Try to increase the number of tuning steps.\n", "The rhat statistic is larger than 1.4 for some parameters. The sampler did not converge.\n", "The estimated number of effective samples is smaller than 200 for some parameters.\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "Done.\n", " Total computing time is: 0.3091507355372111 minutes\n" ] } ], "source": [ "NP_2 = hydromass.Mhyd(sbprofile=p2, \n", " spec_data=spec_data,\n", " redshift=z_m0451)\n", "\n", "NP_2.ccf = mhydNP.ccf\n", "\n", "NP_2.run_GP(bin_fact=2.0,\n", " nmcmc=200,\n", " tune=200)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now let's see how the fitted temperature profiles change as a function of the _bin_fact_ parameter" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 17, "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": [ "plt.clf()\n", "\n", "plt.xlabel('Radius [kpc]')\n", "plt.ylabel('$T_{X}$ [keV]')\n", "\n", "plt.errorbar(spec_data.rref_x,spec_data.temp_x,yerr=np.array([spec_data.templ,spec_data.temph]),\n", " fmt='o',color='black', markersize=10, label='Data')\n", "\n", "plt.plot(spec_data.rref_x,mhydNP.ktmod,color='green', label='$T_{NP}$ bin_fact=1.0')\n", "plt.fill_between(spec_data.rref_x, mhydNP.ktmod_lo, mhydNP.ktmod_hi, color='green', alpha=0.3)\n", "\n", "plt.plot(spec_data.rref_x,NP_15.ktmod,color='red', label='$T_{NP}$ bin_fact=1.5')\n", "plt.fill_between(spec_data.rref_x, NP_15.ktmod_lo, NP_15.ktmod_hi, color='red', alpha=0.3)\n", "\n", "plt.plot(spec_data.rref_x,NP_2.ktmod,color='cyan', label='$T_{NP}$ bin_fact=2.0')\n", "plt.fill_between(spec_data.rref_x, NP_2.ktmod_lo, NP_2.ktmod_hi, color='cyan', alpha=0.3)\n", "\n", "plt.legend(fontsize=22)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The impact of the smoothing scale on the temperature profile is very clear. While the minimal smoothing is probably a good choice to investigate the shape of the thermodynamic profiles, the variations in the temperature gradient are too large to allow a reasonable estimate of the hydrostatic mass profile. Conversely, a binning factor of 2.0 provides a smooth temperature profile with a good control over the gradient, but misses out on obvious fluctuations. The latter profile is thus more appropriate to determine the shape of the mass profile.\n", "\n", "We can use the [hydromass.prof_GP_hires](https://hydromass.readthedocs.io/en/latest/hydromass.html#hydromass.nonparametric.prof_GP_hires) function to check how the recovered entropy profiles depend on the choice of the smoothing scale," ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "profiles_15 = hydromass.prof_GP_hires(Mhyd=NP_15,\n", " npt=200,\n", " rin=40.,\n", " Z=0.3)\n", "\n", "profiles_2 = hydromass.prof_GP_hires(Mhyd=NP_2,\n", " npt=200,\n", " rin=40.,\n", " Z=0.3)" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "text/plain": [ "
" ] }, "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": [ "plt.clf()\n", "\n", "fig = plt.figure()\n", "ax = fig.add_subplot()\n", "\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "plt.xlabel('Radius [kpc]')\n", "plt.ylabel('$K$ [keV cm$^{2}$]')\n", " \n", "plt.plot(thermo_profiles['R_REF'], thermo_profiles['K'], color='green', label='bin_fact=1.0')\n", "plt.fill_between(thermo_profiles['R_REF'], thermo_profiles['K_LO'], thermo_profiles['K_HI'], color='green', alpha=0.3)\n", "\n", "plt.plot(profiles_15['R_REF'], profiles_15['K'], color='red', label='bin_fact=1.5')\n", "plt.fill_between(profiles_15['R_REF'], profiles_15['K_LO'], profiles_15['K_HI'], color='red', alpha=0.3)\n", "\n", "plt.plot(profiles_2['R_REF'], profiles_2['K'], color='cyan', label='bin_fact=2.0')\n", "plt.fill_between(profiles_2['R_REF'], profiles_2['K_LO'], profiles_2['K_HI'], color='cyan', alpha=0.3)\n", "\n", "\n", "M500 = 9.0387E+14 # NFW M500 in Solar mass for this system\n", "R500 = 1230 # NFW R500 in kpc\n", "eofz=pyproffit.cosmo.efunc(z_m0451) # E(z)\n", "K500=1667.*np.power(M500/1e15,2./3.)*np.power(eofz,-2./3.) # Self-similar K500\n", "\n", "Kmod = 1.42 * K500 * (thermo_profiles['R_REF']/R500) ** 1.1\n", "plt.plot(thermo_profiles['R_REF'], Kmod, '--', color='black', label='Voit+05 self-similar profile')\n", "\n", "ylim = ax.get_ylim()\n", "xlim = ax.get_xlim()\n", "\n", "plt.plot([R500, R500], ylim, ':', color='black', label='$R_{500}$')\n", "\n", "plt.axis([xlim[0], xlim[1], ylim[0], ylim[1]])\n", "\n", "plt.legend(fontsize=22)\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Non-parametric mass profile ##\n", "\n", "The reconstructed 3D gas density and temperature profiles can be combined to determine the hydrostatic mass profile in a non-parametric way,\n", "\n", "$$ M(" ] }, "execution_count": 21, "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": [ "plt.clf()\n", "\n", "plt.yscale('log')\n", "plt.xscale('log')\n", "plt.xlabel('Radius [kpc]')\n", "plt.ylabel('$M(" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.clf()\n", "\n", "plt.yscale('log')\n", "plt.xscale('log')\n", "plt.xlabel('Radius [kpc]')\n", "plt.ylabel('$M(\n", " \n", " \n", " 100.00% [1208/1208 00:01<00:00 logp = 17.593, ||grad|| = 0.0074496]\n", " \n", " " ], "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "Only 100 samples in chain.\n", "Auto-assigning NUTS sampler...\n", "Initializing NUTS using advi...\n" ] }, { "data": { "text/html": [ "\n", "
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