{ "cells": [ { "cell_type": "markdown", "id": "46b21fcb-ac68-4e99-92af-a596e3889c79", "metadata": {}, "source": [ "# X-ray instrument response optimization\n", "\n", "In this notebook I will discuss some ways to optimize folding a spectral-timing model through an instrument response. " ] }, { "cell_type": "code", "execution_count": 1, "id": "d10ec27d-69bc-49d4-9a0c-12063ba07cfc", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Arf missing, please load it\n", "Arf loaded\n" ] } ], "source": [ "import sys\n", "import os\n", "import gc\n", "\n", "import numpy as np\n", "from scipy.interpolate import interp1d\n", "import matplotlib.pyplot as plt\n", "import matplotlib.pylab as pl\n", "from matplotlib import cm\n", "from matplotlib.colors import TwoSlopeNorm\n", "import matplotlib.gridspec as gridspec\n", "\n", "from matplotlib import rc, rcParams\n", "rc('text',usetex=True)\n", "rc('font',**{'family':'serif','serif':['Computer Modern']})\n", "fi = 22\n", "plt.rcParams.update({'font.size': fi-5})\n", "\n", "sys.path.append(os.path.dirname(os.path.dirname(os.path.abspath('__file__'))))\n", "from ndspec.Response import ResponseMatrix\n", "\n", "rmfpath = os.getcwd()+\"/data/nicer-rmf6s-teamonly-array50.rmf\"\n", "nicer_matrix = ResponseMatrix(rmfpath)\n", "arfpath = os.getcwd()+\"/data/nicer-consim135p-teamonly-array50.arf\"\n", "nicer_matrix.load_arf(arfpath)" ] }, { "cell_type": "markdown", "id": "d39461c6-28c6-40c7-a071-f34d51a92c05", "metadata": {}, "source": [ "## Rebin the instrument response over channels\n", "\n", "Taking tens of milliseconds to fold a model through a response matrix can be comparable to (or even larger than) the computing time of a typical Xspec models. As a result, careless folding of the instrument response can be a major bottleneck in fitting modern, multi-dimensional data.\n", "\n", "In practice however, one never needs 1500 channels when it comes to most X-ray data, particularly for the case of spectral-timing analysis. For instance, typical NICER timing products like lag spectra only use a few dozen energy bins, meaning we can (and should) rebin our instrument response to a grid of a few dozen channels instead. nDspec provides this functionality within the ```ResponseMatrix``` object.\n", "\n", "Let us define an arbitrarily spaced new grid of 35 channel bounds. We can then rebin our matrix object with the ```rebin_channels``` method to this new, smaller grid made up of only 35 channels. After doing so, let us plot the response again, comparing channel and bounds:" ] }, { "cell_type": "code", "execution_count": 2, "id": "e6c39180-cbe2-4486-984f-8cd2140487cb", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/matteo/Software/nDspec/src/ndspec/Response.py:515: RuntimeWarning: divide by zero encountered in log10\n", " p = plt.pcolormesh(x_axis,energy_array,np.log10(self.resp_matrix),\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stderr", "output_type": "stream", "text": [ "/home/matteo/Software/nDspec/src/ndspec/Response.py:515: RuntimeWarning: divide by zero encountered in log10\n", " p = plt.pcolormesh(x_axis,energy_array,np.log10(self.resp_matrix),\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "11356" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#define an arbitrary grid, from arrays of lower and upper energy bounds\n", "new_bounds_lo = np.array([0.1,0.3,0.6,1,1.5,2,2.13,2.21,2.3,2.4,2.52,2.6,2.9,3.,3.5,4.,4.25,\n", " 4.4,4.54,5,5.5,6,6.1,6.3,6.4,6.8,7,7.2,7.3,7.6,8,9.5,10.,12.,13.])\n", "new_bounds_hi = np.array([0.3,0.6,1,1.5,2,2.13,2.21,2.3,2.4,2.52,2.6,2.9,3.,3.5,4.,4.25,4.4,\n", " 4.54,5,5.5,6,6.1,6.3,6.4,6.8,7,7.2,7.3,7.6,8,9.5,10.,12.,13.,15.])\n", "\n", "#rebin the response matrix and plot the resulting new matrix\n", "rebin_chans = nicer_matrix.rebin_channels(new_bounds_lo,new_bounds_hi)\n", "rebin_chans.plot_response()\n", "rebin_chans.plot_response(plot_type=\"energy\")\n", "\n", "gc.collect()" ] }, { "cell_type": "markdown", "id": "421a232b-64ea-46de-91ae-3dc43a2c93da", "metadata": {}, "source": [ "The response natrix is now much coarser, but for spectral-timing data this is not a problem. Note also how the rough 100:1 mapping of channels to energy, initially present in the response, is no longer there, and in fact it is impossible to directly relate channel numbers to energy bounds. This is purely because we chose a very un-regularly spaced grid.\n", "\n", "Let us now define a sample spectral model, using a blackbody with a temperature of 1 keV and unity normalization, convolve it with both instrument respones, and compare the two folded models. Note how the rebinned matrix produced a much coarser folded model, but otherwise the count rate at each energy is roughly identical:" ] }, { "cell_type": "code", "execution_count": 3, "id": "107ea576-df73-46a4-aa4e-721f5402f5d7", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def bbody(array, params):\n", " #with these defintions, this model is identical to the xspec implementation\n", " norm = params[0]\n", " temp = params[1]\n", " renorm = 8.0525*norm/np.power(temp,4.)\n", " planck = np.exp(array/temp)-1.\n", " model = renorm*np.power(array,2.)/planck\n", " return model\n", "\n", "#define the energy bin mid points and widths, from the matrix we just loaded\n", "nicer_grid = 0.5*(nicer_matrix.energ_hi+nicer_matrix.energ_lo)\n", "nicer_bins = nicer_matrix.energ_hi-nicer_matrix.energ_lo\n", "\n", "#define the model and convolve it with the response\n", "bb_params = np.array([1.,1.])\n", "bb_model = bbody(nicer_grid,bb_params)*nicer_bins\n", "nobin_fold = nicer_matrix.convolve_response(bb_model,units_in=\"xspec\",units_out=\"kev\")\n", "channel_grid = 0.5*(nicer_matrix.emax+nicer_matrix.emin)\n", "\n", "rebin_channel_fold = rebin_chans.convolve_response(bb_model,units_in=\"xspec\",units_out=\"kev\")\n", "rebin_grid = 0.5*(rebin_chans.emax+rebin_chans.emin)\n", "\n", "fig, (ax1) = plt.subplots(1,1,figsize=(6,4.5))\n", "\n", "ax1.step(channel_grid,nobin_fold,label='base',lw=2,where='mid')\n", "ax1.step(rebin_grid,rebin_channel_fold,label='rebin',lw=2,where='mid')\n", "ax1.set_xscale(\"log\")\n", "ax1.set_yscale(\"log\")\n", "ax1.set_xlabel(\"Channel bounds (keV)\")\n", "ax1.set_ylabel(\"Counts/s/keV\")\n", "ax1.legend(loc='upper right')\n", "ax1.set_xlim([0.1,20.])\n", "ax1.set_ylim([5e1,2e4])\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "id": "363cddf3-09ae-42a4-bda2-bbd62b340c3a", "metadata": {}, "source": [ "Now we can benchmark the two convolutions and note that, as we would expect, the re-binned convolution is much faster:" ] }, { "cell_type": "code", "execution_count": 4, "id": "956e984c-b4b8-4cbd-8721-92a6a21df0a7", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Unbinned convolution runtime:\n", "9.63 ms ± 347 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n", "Channel rebinning convolution runtime:\n", "25.3 µs ± 6.81 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n" ] } ], "source": [ "from timeit import Timer\n", "\n", "print(\"Unbinned convolution runtime:\")\n", "%timeit nicer_matrix.convolve_response(bb_model,units_in=\"xspec\",units_out=\"kev\")\n", "\n", "print(\"Channel rebinning convolution runtime:\")\n", "%timeit rebin_chans.convolve_response(bb_model,units_in='xspec',units_out=\"kev\")" ] }, { "cell_type": "markdown", "id": "45eb55e2-60fc-4bcd-ad1f-4729f95e69e5", "metadata": {}, "source": [ "In general, rebinning over channels prevents one from finding fine energy-dependent features in the data, which is almost never the goal with spectral-timing analysis. Therefore, this is the preferred rebinning method to speed up the respones convolution." ] }, { "cell_type": "markdown", "id": "d6dc1b42-42f3-4c46-9081-5621d016c228", "metadata": {}, "source": [ "## Rebin the instrument response over energy\n", "\n", "Rather than over (arbitrary) instrument channels, it is also possible to rebin a response over physical photon energies. Rebinning to a coarser energy grid has the added bonus of speeding up the computation time of a model (since it has to be calculated over fewer energy bins). However, rebinning to a coarse energy grid can introduce spurious features in the model (and therefore the residuals, once that model is compared to data), so it should generally be done with care if at all. \n", "\n", "Let us look at potential issues that might appear. First, the effective area can change noticeably when rebinning over energy. Let us show this by comparing the NICER arf, before and after interpolating it over a coarse energy grid:" ] }, { "cell_type": "code", "execution_count": 5, "id": "934358dd-33b6-4124-8c11-03bdf05a6c91", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#define a coarse, geometrically spaced energy grid:\n", "coarse_grid = np.geomspace(0.2,10.,50)\n", "\n", "#interpolate over the nicer arf:\n", "interp_obj = interp1d(nicer_grid,nicer_matrix.specresp)\n", "interp_arf = interp_obj(coarse_grid)\n", "\n", "fig, (ax1) = plt.subplots(1,1,figsize=(6,4.5))\n", "\n", "ax1.plot(nicer_grid,nicer_matrix.specresp,lw=3,label=\"Arf\")\n", "ax1.plot(coarse_grid,interp_arf,lw=3,label=\"rebin Arf\")\n", "ax1.set_xscale(\"log\")\n", "ax1.set_yscale(\"log\")\n", "ax1.set_ylim([1e2,2e3])\n", "ax1.set_xlim([0.2,10]) \n", "ax1.set_xlabel(\"Energy (keV\")\n", "ax1.set_ylabel(\"Effective area (cm$^{2}$\")\n", "plt.legend(loc=\"lower left\")" ] }, { "cell_type": "markdown", "id": "0bc13732-7b3d-4952-9fa3-6f73e23c1510", "metadata": {}, "source": [ "Note how the sharp features are all completely washed out by the interpolation over such a coarse grid. Rebinning over energy can have a similar effect to the interpolation shown above, if it is done aggressively. Let us show this explicitely by taking the NICER response, rebinning it in energy, and comparing the folded models before and after energy rebinning. \n", "\n", "In nDspec, a ```ResponseMatrix``` object can only be rebinned over energy by integer rebinning - that is, it is only possible to group a fixed number of energy bins together in a new matrix. This is done with the ```rebin_energy``` method, which takes as an input the integer factor desired by the user. Compared to allowing for an arbitrary grid this is much safer, as we do not have to deal with a new grid edges potentially not overlapping with the initial ones, and replicates the functionality in Heasoft. \n", "\n", "First, let us calculate the rebinned response for both a coarse and intermediate resolution energy grid, and compare the size of the arrays:" ] }, { "cell_type": "code", "execution_count": 6, "id": "6b165e41-f7e6-44a3-8231-f33fd8bd7988", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/matteo/Software/nDspec/src/ndspec/Response.py:378: UserWarning: WARNING: rebinning a response in energy is dangerous, use at your own risk!\n", " warnings.warn(\"WARNING: rebinning a response in energy is dangerous, use at your own risk!\",\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "The rebinned energy with coarse resolution grid has a size: (70,)\n", "The rebinned energy with intermediate resolution grid has a size: (346,)\n" ] } ], "source": [ "rebin_coarse = nicer_matrix.rebin_energies(50)\n", "print(\"The rebinned energy with coarse resolution grid has a size:\",rebin_coarse.energ_hi.shape)\n", "\n", "rebin_inter = nicer_matrix.rebin_energies(10)\n", "print(\"The rebinned energy with intermediate resolution grid has a size:\",rebin_inter.energ_hi.shape)" ] }, { "cell_type": "markdown", "id": "293a2977-8642-46e4-86d0-caa835dfe868", "metadata": {}, "source": [ "Let us now fold our black body model through these responses, and compare the results to the initial matrix:" ] }, { "cell_type": "code", "execution_count": 7, "id": "961527ea-9582-4ef8-be55-4aacca4f4c2c", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#define the energy bin mid points and widths, from the matrices we just calculated\n", "inter_grid = 0.5*(rebin_inter.energ_hi+rebin_inter.energ_lo)\n", "inter_bins = rebin_inter.energ_hi-rebin_inter.energ_lo\n", "\n", "coarse_grid = 0.5*(rebin_coarse.energ_hi+rebin_coarse.energ_lo)\n", "coarse_bins = rebin_coarse.energ_hi-rebin_coarse.energ_lo\n", "\n", "#define the models and convolve them with the response\n", "bb_inter = bbody(inter_grid,bb_params)*inter_bins\n", "energy_inter_fold = rebin_inter.convolve_response(bb_inter,units_in=\"xspec\",units_out=\"kev\")\n", "\n", "bb_coarse = bbody(coarse_grid,bb_params)*coarse_bins\n", "energy_coarse_fold = rebin_coarse.convolve_response(bb_coarse,units_in=\"xspec\",units_out=\"kev\")\n", "\n", "fig, (ax1) = plt.subplots(1,1,figsize=(6,4.5))\n", "\n", "ax1.step(channel_grid,nobin_fold,label='base',lw=3,where='mid')\n", "ax1.step(channel_grid,energy_inter_fold,label='rebin inter',lw=2,where='mid')\n", "ax1.step(channel_grid,energy_coarse_fold,label='rebin coarse',lw=2,where='mid')\n", "ax1.set_xscale(\"log\")\n", "ax1.set_yscale(\"log\")\n", "ax1.set_xlabel(\"Channel bounds (keV)\")\n", "ax1.set_ylabel(\"Counts/s/keV\")\n", "ax1.legend(loc='lower right')\n", "ax1.set_xlim([0.3,10.])\n", "ax1.set_ylim([8e2,1.5e4])\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "id": "93c39647-cb16-47c2-a2e7-3bab2cae8757", "metadata": {}, "source": [ "With our extremely coarse grid, we have gone from the 3451 energy bins in the default NICER matrix, to just 70, while keeping 1501 channels. The result of folding a model through this response is the introduction of horrific features that are not present in the un-binned model, and are therefore not physical. This means our energy rebinning was much too aggressive, and is a textbook example of why energy rebinning can be dangerous.\n", "\n", "The intermediate grid, instead, has 346 energy bins. In this case, some features are still introduced in the folded model, but they are much less noticeable than with the coarse grid. These may or may not appear as residuals depending on the data quality, so users still need to exercise caution.\n", "\n", "Let us now look at what happens when we rebin in both channels and energy:" ] }, { "cell_type": "code", "execution_count": 8, "id": "9ccdf4b7-e213-4673-b710-eed03040e704", "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/matteo/Software/nDspec/src/ndspec/Response.py:378: UserWarning: WARNING: rebinning a response in energy is dangerous, use at your own risk!\n", " warnings.warn(\"WARNING: rebinning a response in energy is dangerous, use at your own risk!\",\n" ] }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "full_rebin = rebin_chans.rebin_energies(50)\n", "full_rebin_fold = full_rebin.convolve_response(bb_coarse,units_in=\"xspec\",units_out=\"kev\")\n", "\n", "fig, (ax1) = plt.subplots(1,1,figsize=(6,4.5))\n", "\n", "ax1.step(channel_grid,nobin_fold,label='base',lw=2,where='mid')\n", "ax1.step(rebin_grid,rebin_channel_fold,label='ch rebin',lw=2,where='mid')\n", "ax1.step(rebin_grid,full_rebin_fold,label='ch+en rebin',lw=2,where='mid')\n", "ax1.set_xscale(\"log\")\n", "ax1.set_yscale(\"log\")\n", "ax1.set_xlabel(\"Channel bounds (keV)\")\n", "ax1.set_ylabel(\"Counts/s/keV\")\n", "ax1.legend(loc='lower right')\n", "ax1.set_xlim([0.1,20.])\n", "ax1.set_ylim([5e1,2e4])\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "id": "850c120a-431d-4d03-8d14-0e1c439a4516", "metadata": {}, "source": [ "Even with very coarse channel bounds, the very coarse energy rebinning introduces some unphysical features in the folded model, which are especially noticeable around 2-3 keV. Once again, this shows that energy rebinning, if done at all, should be done with care, particularly because the performance gain is much smaller than rebinning in channels: " ] }, { "cell_type": "code", "execution_count": 9, "id": "938af901-078e-4a80-a313-b2906708dedc", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Unbinned convolution runtime:\n", "9.52 ms ± 958 µs per loop (mean ± std. dev. of 7 runs, 100 loops each)\n", "Channel rebinning convolution runtime:\n", "16.4 µs ± 734 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)\n", "Intermediate energy rebinning convolution runtime\n", "43.1 µs ± 5.78 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n", "Coarse energy+channel rebinning convolution runtime\n", "2.55 µs ± 12.7 ns per loop (mean ± std. dev. of 7 runs, 100,000 loops each)\n" ] } ], "source": [ "print(\"Unbinned convolution runtime:\")\n", "%timeit nicer_matrix.convolve_response(bb_model,units_in=\"xspec\",units_out=\"kev\")\n", "\n", "print(\"Channel rebinning convolution runtime:\")\n", "%timeit rebin_chans.convolve_response(bb_model,units_in='xspec',units_out=\"kev\")\n", "\n", "print(\"Intermediate energy rebinning convolution runtime\")\n", "%timeit rebin_inter.convolve_response(bb_inter,units_in=\"xspec\",units_out=\"kev\")\n", "\n", "print(\"Coarse energy+channel rebinning convolution runtime\")\n", "%timeit full_rebin.convolve_response(bb_coarse,units_in=\"xspec\",units_out=\"kev\")" ] }, { "cell_type": "markdown", "id": "7e49c3b6-8d6c-4e0e-80fa-8eb796cfbc7a", "metadata": {}, "source": [ "## Rebinning responses for two-dimensional models\n", "\n", "The same considerations also hold for folding two-dimensional models. Let us show this by defining the same impulse response function as in the last tutorial, and then compare the effects of the coarser energy grid:" ] }, { "cell_type": "code", "execution_count": 10, "id": "0feafa7c-b44a-4baa-b980-9a9c479d6d81", "metadata": {}, "outputs": [], "source": [ "#define our model functions:\n", "def gaussian(array, params):\n", " center = params[0]\n", " width = params[1]\n", " norm = np.multiply(np.sqrt(2.0*np.pi),width)\n", " shape = np.exp(-np.power((array - center)/width,2.0)/2)\n", " line = shape/norm \n", " return line\n", "\n", "def powerlaw(array, params):\n", " norm = params[0]\n", " slope = params[1]\n", " model = norm*np.power(array,slope)\n", " return model\n", "\n", "def gauss_fred(array1,array2,params):\n", " times = array1\n", " energy = array2\n", " norm = params[0]\n", " width = params[1]\n", " center = params[2]\n", " rise_t = params[3]\n", " decay_t = params[4]\n", " decay_w = params[5]\n", " sigma = width*powerlaw(times,np.array([1.,decay_w]))\n", " fred_profile = np.exp(np.nan_to_num(-rise_t/times)-np.nan_to_num(times/decay_t))\n", " fred_pulse = np.zeros((len(energy),len(times)))\n", " line_profile = np.zeros(len(energy))\n", " pulse_profile = np.zeros(len(times))\n", " for i in range(len(times)):\n", " fred_pulse[:,i] = gaussian(energy,np.array([center,sigma[i]]))*fred_profile[i] \n", " line_profile = np.sum(fred_pulse,axis=1)\n", " pulse_profile = np.sum(fred_pulse,axis=0)\n", " return fred_pulse, line_profile, pulse_profile\n", "\n", "#define a time grid and evaulaute the model defined earlier\n", "time_res = 250\n", "time_array = np.linspace(0.1,400,time_res)\n", "\n", "norm = 1.\n", "width = 2.5\n", "center = 6.5\n", "rise = 10.\n", "decay = 60.\n", "slope = -0.25\n", "\n", "#first define a model with the base energy grid\n", "impulse_base, line_profile_base, pulse_profile_base = gauss_fred(time_array,nicer_grid,[norm,width,center,rise,decay,slope])\n", "#then do the same with the coarse energy grid\n", "impulse_en_rebin, line_profile_en_rebin, pulse_profile_en_rebin = gauss_fred(time_array,coarse_grid,[norm,width,center,rise,decay,slope])" ] }, { "cell_type": "code", "execution_count": 11, "id": "61f9c27b-c8d2-47ce-ad6d-837b548ae046", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "19528" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "colorscale = pl.cm.PuRd(np.linspace(0.,1.,5))\n", "\n", "fig = plt.figure(figsize=(9.,7.5))\n", "\n", "gs = gridspec.GridSpec(200,200) \n", "gs.update(wspace=0,hspace=0)\n", "ax = plt.subplot(gs[:-50,:-50])\n", "side = plt.subplot(gs[:-50,-50:200])\n", "below = plt.subplot(gs[-50:200,:-50])\n", "\n", "c = ax.pcolormesh(time_array,nicer_grid,impulse_base,cmap=\"PuRd\",\n", " shading='auto',linewidth=0,rasterized=True)\n", "\n", "ax.set_xticklabels([])\n", "ax.set_xlim([0,400.])\n", "ax.set_ylim([0.1,10.])\n", "ax.xaxis.set_visible(False)\n", "\n", "below.semilogy(time_array,pulse_profile_base,linewidth=2.5,color=colorscale[3])\n", "below.set_xlabel(\"Time ($\\\\rm{R_g}/c$)\",fontsize=18)\n", "below.set_ylabel(\"Response\",fontsize=18)\n", "below.set_xlim([0,400.])\n", "below.set_ylim([1e-1,3e2])\n", "\n", "side.step(line_profile_base,nicer_grid,linewidth=2.5,color=colorscale[3],where='mid')\n", "side.invert_xaxis()\n", "side.yaxis.tick_right()\n", "side.yaxis.set_label_position('right')\n", "side.yaxis.set_ticks_position('both')\n", "side.set_yticklabels([], minor=False)\n", "side.set_xlabel(\"Line profile \\n (arb. units)\",fontsize=18)\n", "side.set_ylim([0.1,10.5])\n", "side.set_xlim([12.5,-0.5])\n", "\n", "fig.colorbar(c, ax=side)\n", "\n", "ax.set_title(\"Energy space model\")\n", "\n", "plt.show()\n", "\n", "gc.collect()" ] }, { "cell_type": "code", "execution_count": 12, "id": "d59ecfa3-4aee-41f0-b464-27d9f3d47166", "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAA0kAAAKvCAYAAAC/E4RrAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAAA9hAAAPYQGoP6dpAACwcklEQVR4nOz9fXQbZ54f+H4LIAiRksgS5e72Gy2xIHW7bbVsAVRvz+ZlJybQPcnsvZm0CXFuzmY2p2MS09ebTe7EJsT0ne3pneuhgfbuOdl7nTYgzZwke24SibAzyUkyGRNyJjOZTO6IhGW35HHbRlG02nZ7bIIlSiJF8aXuH4UqooDCe4EAge9HBwesp6qeevBCCj88z/N7BFVVVRAREREREREAwNHsBhAREREREbUSBklEREREREQ5GCQRERERERHlYJBERERERESUg0ESERERERFRDgZJREREREREORgkERERERER5WCQRERERERElINBEhERERERUY6uZjeAiGoTj8cRi8Ugy7JRJkkSBgYGTMdlMhnTMcPDw5idnd21dhI1QygUwtzcHGRZxsTEBCKRSE31BAIByLKMTCaDmZkZ+P1+m1tKREStSFBVVW12I4iodvF4HKFQCBMTE4jFYkWPSyQSGB8fx8DAANLp9C62kKg5UqkUfD5f2d+NUhRFQTweRzgcxuzsLIMkIqIOweF2RHuc3nMkimLJ40ZHRzE/P49MJrMLrSJqPq/XC0mS6qpDFEWMjo7a1CIiItorGCQR7XHlgqNckiRheHi4cY0hIiIiagMMkog6TDAYNM1RIiIiIiIzBklEbS4/IJIkiUESERERUQnMbkfU5mKxmCmzl9/vh6IozWtQhZLJJFKpFERRxJkzZyCKImRZRjKZhKIo8Pv98Hq9zW4mERERtSEGSURtTFEUy4Aodx5TborjS5cuQZIkxONxAEA6nYYsywiHw0WzesmyjEgkAp/PB0VRkE6nEQgEjMnuiqIYQ/wymQzm5+ehKAouXLhgnD8zM2Nq88jICEKhECYnJyHLMkZGRjA8PIxAIICJiQlEo1FcuHABFy5cQCKRMHrGvF4vLl26ZHp8evY//XFXm8Y5Go0a9SmKgqWlJQQCAczOziISiRQ8Pv36ejY1RVGQyWQQCoWKXjf3MejPeygUKhkEKoqCcDhseqyHDx/GxMREwTy1cq9RpUq9V5aWlpBKpUzvFf1x6fsCgQAmJydLPqbp6Wl4PB7T+7bUObpwOGw8B4D2Wk9MTJQ8x67nhYiI2pBKRHva7OysCkCdnJw0lafTadXv96sTExMlz19eXlYjkYgKQJ2ZmVEjkYhl/el0uuDcWCymer1edXl52VTu9XpN111eXlYnJydVAOrs7KxxjVgsZpTp/H6/Ojo6aqpvfn6+aBtUVVUlSVJFUSz6GCcnJwvqrMTo6KjlNUdHR1W/329s5z6+SCSizszMmI5Pp9OqKIoFr5GqqmokEim4hn58/muhm5mZUUVRVOfn5y3ry309Kn2NKlHpe2V+ft7ycUmSZPkc6Od6vd6Cc+bn51Wv12v5WFVVe64kSTK9h/S2TkxMqKIoWj7Oap6XdDpd8D4lIqL2xiCJaI/TP5iKoqj6/X7V7/erXq9XFUVRBVDRB2H9Q2DuB/9cVh/w9XOsPrzqQU3uPr0sP1jJ/eCp15kfZOhtKBbo6MFWsSBqcnKy4MNwOel0WvV6vZb7lpeXC54r/fGVCgKsHpvVc6K32ep7rOXlZSMYK3aNWCxmPIZqXqNKVPJe8fv9lgHF5OSkZTC7vLxcNOhTVe1xSZJkuU+SpKLBpP5cFQt6Kn1eGCQREXUeJm4gahMTExOYnZ3F7Ows5ufnsby8bJqLVIliw7sGBgYKkj2EQiFIkmR5jr4+jdUCnvnr1uQOQUulUpbHFGuDTh9WVerxVpMqPbc9VtcURbHocxUIBCzL/X4/JEnC+Pi4qbzYOj4ejwcACoZL6ueXGoKmr51V62tUiVLvlbm5OcuhhYcPH7Yc/qkvclysTr/fj0wmYwyp04XDYciyXHRYnSiKlq97I58XIiJqDwySiNpYJXM5cukfzPNZfdBMJpMl58xIkoS5ubmC8tOnT5dtR7EFb/UP/1YmJiaM+TG5EomEMSepGvqHaI/Hg2AwiEQiYfqAX20ACuwkzciff5Q7J0unP9b85yKVSpUMJlRVNebU1PoaVaLUe6XatbgSiUTZJBzDw8NIJBKmsmQyCUmSqg6AG/m8EBFRe2DiBqI2Z/VhNh6PW377XioIyaV/yJdl2TIwAbT1mKzqK9ZzAuz0KqVSqYKeCD2BRDHhcBjxeLzgsV2+fLnmifjz8/MIhUKIx+PGB3RJkhCJRGqqU38tUqlUwfOQSqWMZBYejwezs7OWdciyXFHiiXpeo0qUOq+aoEVvZ7l26NkNc5UKGMtdr1HPCxERtQcGSURtzqo3KZ1O21L38PBw2Qxi1RBFEZFIBNPT06Z2h8NheL3ektfSe35isZhxnCzLRXs8KhWLxRCLxZBKpZBMJjE7O4tgMIiJiQlbhmQlk0kj810kEjECjIGBgYKeE10161zZ/Ro1i91p69vleSEiosbgcDuiDlTvB069F6QRi9IuLS3h3LlzCIVCiEajiEajALRenXJCoZBpHlFuwFStZDKJZDJpbHu9XkxOTmJ2dhYzMzOIx+NVP496cKr3fuhpsUdHRxGLxSrqgfF6vRU97418jeykt7PYEEtdJpMp6H3zer1VvwZ75XkhIqLmYpBE1GH05Aj1Gh0dLTtvIzfIqJQsy0bQMDk5icnJyYrn/+hrBNUyX8hKsSFvo6Oj8Hq9VT8+fQ6N/kFdHz44NTVVcGz+h3g9WBwbG7Pcn0vvgWrUa2Q3v99fsh2KolgOwfT7/WWDHasgaq88L0RE1DwMkog6TDgcrnsIGgCcO3cOAIrO65BluaZv6/VhbbU6c+aMMTeploQNuYo9NgBFs7EVC0L1hVVzkzRkMpmiGdguX74MoPBD/uTkJCRJKjo/S1/sFWjca2S3WCwGRVGKvu4XL160DH714YnFHl+x12KvPC9ERNQ8DJKI9jj9w1y5YUeKoiAYDFpm9tLPLTbkSVGUgvpFUcTMzAzC4XDB3BlFUQqGuul1lxtWFYvFEAgEIAiC6ebz+YzhdKXowcPMzEzJJBGVsgpGUqkURFG0rD+dThe0MZVKYXx8HLFYzPTcj42NWQYHuRn5rD6sz87OIpVKGb1LuvznvdrXqBK1vFd0S0tLpjp0kiRhdnbW8vVNpVKIRCK4dOmSZTB56dIlRCKRgvNkWcaFCxcgimJBr1G1z4veXrvnRRERUesSVFVVm90IIqpePB7HzMyM6QO2VdazTCZjmXZa/4AfCASMb8719M2xWMzorUgmk8YHUK/Xi7GxMVNSBUVRMD09DUVRIIqi0Uulf8jUg7O5uTnjmOHhYSP5QS49g93p06dNwYTe/gsXLiCVSpX9cO/z+TA1NVVzVjtAG26lKAr8fj/i8ThEUTQ+JIuiWHD9VCoFn8+H2dlZDAwMGK/L0tISFEVBOBy2DKoSiYQRPB0+fBiA9jrqw/nC4TCGh4dNSR104XDYeE71c60SdZR7jSpV63slmUwiEokY7wE9yUZ+6nO9nfpj0YOqcsMn9efX4/GYEl+Mjo7i0KFDxnZ+VsJKnpdSj5mIiNoXgyQiahkejwczMzMl0zpHo1GEw2EsLy8XTXQQDodtm5dUqdwgqZIU3URERNS6ONyOiFqCPuyp3Lo3k5OTlkOocuk9EURERES1YJBERC2jmkVIiy32mUgk6hpmR0RERMQgiYhawujoaEVZxfS5Pl6vF4lEAj6fz7T/8uXLnC9CREREdWGQREQt49KlSwgEAkVTQetZ3/SFZS9fvmzKOBaPxy3XHNoNerY3ZkAjIiLa+5i4gYhaTjweRzqdNs0tSqfT8Pl8BamZc7Oh6VnhdlOx7H3MgEZERLR3MUgiIiIiIiLK0dXsBhARERERUfuKx+PGaIt0Oo1AIFDTchmyLCMYDOLcuXNlR45Eo1HTPGWPx1PV+oAMknbB9vY2Pv74Yxw8eBCCIDS7OURERNRitra28MEHH+DYsWNwOp3Nbg61OFVVcevWLTz44INwOKxTDNy9exf37t2z/drd3d3Yt29fxceHQiH4fD7TYufBYBAAKg6UQqEQMpkMJEkyFi0vJRAIIBgMGouWK4qCkZERDA8PVz4sX6WGu3HjhgqAN95444033njjjTfebLvduHHD8rPn2tqa2gtnQ655//33q2traxV9Bp6fn1clSSooT6fTqiiKVX+mXl5eVgGo8/PzRY+ZmJhQJycnLa9X6rx87EnaBQcPHgQAfPATGQcPHsTOLDC16DmAdY8TO6KIiIjaz0cffwTv8JO4ceMG+vr6mt0cagG3L7+HD4K/ZWwfm/mHOHD6ywCAlZUVDA4OGp8x8927dw+r2MLfwsPotjGZ9T1s4//82U9x7969inqTYrGYZW+RPgQumUzWNOyuGFmWEY/Hsby8XHC9/LJyGCTtAn2I3cGDB9HX1wc1GyXVkjKjeJBUPnpigEVERNSabt26BQDo6+tjkEQAAMf+AzgguIztvv0HcCDvvVFuGkc3HLYGSdVKJpNFF3iXJAmzs7O2BkmRSARer7eqxemL4TpJRERERERtSGjAv2rIsgyPx2O5b2BgoKL5RdVIJpMYHh42rp1MJssuUl8MgyQiIiIiItp1+kLsdpFlGaIoIpFIQJZlDA8PGxnxql3sncPtiIiIiIjakAMCHFX2/pSrD9DmROVyu91wu92msnJBiSiKNffyWNGvJ8syxsbGjCx2+nC+kZERzM/PV1wfe5KIiIiIiNqQYIRJ9t0AYHBwEP39/cZtenq6pvbZMXconyzLBWm+/X4/UqkUEolExfWwJ4mIiIiIiCqWn4UxvxepEtUOfytHD7j0OUn5vF4vZmdniyaSyMcgiYiIiIioDQmArcPt9JoqycKoBy2lgqGBgQF7GmZxXStzc3MV18PhdkREREREZDuv14ulpSXLfbIsIxAI2H49u4IyBklERERERG2o2SnA/X5/0eQMsizbukaSfr1ivUWKohTMVSqFQRIRERERURuyP21DdUHS2NgYkslkQXkqlYIoipZBSz1zlUKhEFKpVEEdsixDlmWEQqGK62KQREREREREtvN6vThz5gzi8bipPBwOY2ZmpuB4n8+HQ4cOFe19KreukiRJmJycRDgcNpWHQiFEIhFIklRx2zsycYO+qNS5c+dKdrvF43EoigJRFJFOpxEIBGzvFiQiIiIiaoRahsiVq69asVgM0WgU0WjU+EwdDoctP1MPDw9DUZSCuUPhcBiKohi9UsFg0Dg/FouZjo1EIojH4wiFQhBFEYqiFL1eKR0VJIVCIWQyGUiShFQqVfZYn8+HyclJoywYDAIAAyUiIiIiogrlfp4uJT/g0UUikaquNzExUdXxVjoqSNKfeEVREI1Gix6XSqWQTCYtI1Ofz4fl5eWGtpOIiIiIqF61zCMqV1+n4JwkC7FYzLK3SB/HaDUBjYiIiIiolTQ7u91exiDJQjKZLLoQlSRJmJ2d3d0GERERERHRrumo4XaVkmUZHo/Hct/AwEDZ+UxERERERM3G4Xa1Y5BUg3LpB9fX17G+vm5sr6ysNLpJREREtIfkf1a4dftWE1tDe1X+Z0y32w23292k1rQXDrfLU24BKz2VYCnT09Po7+83boODg6b9qpq9bavGbVu/bW2bb7n7tlVsb2VveeWqWs8NFd+IiIiofj98KYovPfgF43bK90Szm0R70ODgoOkz5/T0tGm//UvJdk7o0DmP1EbF5ivppqamcPPmTeN248aN3WkYERER7QnPPzeJTz/+zLi9Of9Ws5tEe9CNGzdMnzmnpqaa3aS2weF2VSrXiwSwq5OIiIhKy/+scOsWh9tR9fr6+tDX11d0P+ck1Y5BUh69l6hUMJS/CjARERERUathkFQ7Drez4PV6sbS0ZLlPlmUEAoFdbhEREREREe0W9iRZ8Pv9kGXZcp8sy5YLzRIRERER2UXd2Ky7DrsXgO2kxWQZJFkYGxvDyMhIQXkqlYIoivB6vU1oFRERERF1AnVjE+//0m82uxkdrSOH25Vb58jr9eLMmTOIx+Om8nA4jJmZmUY2jYiIiIg63OrVxYIywe2quh7B5gTg7ElqU+FwGIqiIJlMAgCCwaAxdC4Wi5mOjcViiEajiEajEEUR6XQa4XCYQ+2IiIiIqKHU9Y2Cst4TR6quh8PtatdRQVIkEqnq+MnJyQa1hIiIiIioMsd/99chuDrqY3vT8dkmIiIiImphtQZITAFeu46ck0RERERERFQMe5KaSFVV4+ftbaM0/6jsvRa5C4Jp04jnVYvAXsj7Qb+cIOQfnH9N/TirNhfUXhWrOomIiIjIfpyTVDsGSUREREREbciR/WdffdZfrLcjDrcjIiIiIiLKwZ4kIiIiIqI2JMDeIXKdM9iOPUlEREREREQm7EkiIiIiImpDTAFeOwZJRERERERtiNntasfhdkRERERERDnYk0RERERE1IY43K527EkiIiIiIiLKwZ4kIiIiIqI2xDlJtWOQ1ESqmvuztrG9rRbuBABBe1Mab01BL9ZL1NzDTAcZZfo5+mrJ5oML3vaqxe9B/vWKEYr8DuU/LOsr16bYNYmIiIg6EYfb1Y7D7YiIiIiIiHKwJ4mIiIiIqA2xJ6l27EkiIiIiImoR6sYmVq+km92MjseeJCIiIiKiFqBubOLdb34Pa29ft6lGrS/JPp3Tv9I5j5SIiIiIqIWtXl20DJAEt2v3G9Ph2JNERERERNQC1PWNgrKek0fRe+JITfVxTlLtGCQREREREbWgh1/4FXzh73wLgqu2j+xcJ6l2HG5HRERERNSCep/01BwgUX34rBMRERERtaFWGW4Xj8ehKApEUUQ6nUYgEIDf76+6HlmWEQwGce7cOXi93orPCwaDmJmZqepaDJKaQFVVAMD2tmqUbW1ta2VbqumYYgRBvxfyyoWCY/QfjD1FzzUfsHO+qfV5deXVYToq/1zrduYcXRGhSJ3WT1njuoWLtYOIiIiINKFQCD6fD5OTk0ZZMBgEgIoDpVAohEwmA0mSkEqlqrp+NBqt+hyAQRIRERERUVtq9pykVCqFZDKJWCxmKo9EIvD5fFheXq6oHv18RVEQjUYrvr4sy5idna28wTk4J4mIiIiIqA05IMAh2HirMkiKxWKWvUWSJAEAksmkLY+zmEQiYfRaVYtBEhERERFRC1A3NpvdBFslk0mIomi5T5Kkmnt5Kr326OhozeczSCIiIiIiajJ1YxPv/9Jv2lqnowG3asiyDI/HY7lvYGCgprlC1Vxb77GqBeckERERERE12erVxYIywe1qQkvKW1lZMW273W643e6q68lkMnY1ySQej2NiYqKuOtiTRERERETUZOr6RkFZ74kjddUpCILtNwAYHBxEf3+/cZueni64tqIoJdsmimLZY2pRbw+Sjj1JREREREQt5vjv/nrdC8nWMkSuXH0AcOPGDfT19RnltfQiASg6X6keiUTClG68VgySiIiIiIhaTL0BUiP19fWZgqRaNKIXKZFI1D3MTte6zz4REREREdVMT91tW30QALWyY/VeolLB0MDAQP2NylIUBZlMxrbeKQZJTaBm31zb2zvvsq3Nbe1+S7tXN7V96va2dSXZN7w+NlTv/xQcO78I+oJfxu+GYN7euTf/8giC9XlaneYf8s/Na55xYMFhws5jL6ihWJ3ZezW/wPL6BUfXpNTfFbVs1fb9USp6hcZfgoiIiKgmXq8XS0tLlvtkWUYoFLLtWvF4HOl0uqDOubk507XC4XBFc5YYJBERERERtSEh+8/O+qrh9/shy7LlPlmWLRearVWxeUjRaBSKoiAWi1VVH4MkIiIiIqI2JAiAw8ZRJ9VWNTY2hpGRkYLyVCoFURTh9XoL9imK0pCEDtViCnAiIiIiIrKd1+vFmTNnEI/HTeXhcBgzMzMFx/t8Phw6dKho71Mt6yql0+mazmNPEhERERFRE6gbm1i9ugh1fQNr1woXk61XQxI3VCkWiyEajSIajUIURaTTaYTDYcuhdsPDw1AUpSChQzgchqIoSCaTAIBgMGicX2wYXSKRwOzsLC5evAhFURAMBjEwMFDxsDtBVctPP6f6rKysoL+/H59+/Bn6+vqwmU3SsHFvyzhmc0P7uXMSN1j+WHC9IqcUKcitwp4/CPVVw8QNRERUmY8++gjHviLh5s2bdadWpr1B3djEu9/8Htbevm65/8v/7gc48I1HLffpny2LvV/0/ee7/OgV7OsTWVU38cxmsiPep+xJIiIiIiLaZatXF4sGSAAguF11X0OAvV/ZdtJ3s5yTRERERES0y9T1jaL7ek4eRe+JI7vYGsrHniQiIiIioiYbjH4HPY8fgeB2offEEQiu+j+mOwTYPCepczBIIiIiIiJqsp7HjxSdg1QrB4Saki2Uqq9TdFJASEREREREVBZ7kppB1TPX7SQW1LPabdzRxqdu3dsEAGxnM+GpW6rp3Py0ZnpWO1N2O6c5A55xjNNhec7O/rzzcrPblcmUVyybnVGH+c5cl7mKCjLnlbqmmrsr78iSlZmOs0z9WOZLlJ1225c4slhPeW25KXf/WyBm4SMiItp9DpsXk+2k3pVOeqxERERERERlsSeJiIiIiKgNCdl/dtbXKRgkERERERE1mLqxidWri0bq77Vriw2/Jofb1Y5BEhERERFRA6kbm3j3m98ruXgstRYGSUREREREDbR6dbFsgCS4XbZf1yEINq+T1DnD7Tqp14yIiIiIaNfpQ+yK6Tl5FL0njuxSa6gS7EkiIiIiItpFg9HvoOdxLSgS3C70njgCwWX/x3ImbqgdgyQiIiIiol3U8/gRHPjGow2/DhM31K6THisREREREVFZ7ElqAjV7v729bZRtrmpjVe/dWgcAbGS3t+5taudsaMeq2ypKMc3Nc2gxsKCHwtmvEhx6uVPI7s/eOx2mbYfTXG4+Vj/XYT5W/7pCMNehbxvn5TTU+Nl8t3OOuQrjiPx5iLl15vcGF9QJWB4glJjcWLhLKLJftWxDkaaVu0jpc6r4dmjnsZV+D9Wj2NOn1nXJ1urat3H+KxERUUMJEGxNttBJw+3Yk0RERERERJSDPUlERERERG1IEOwdAdE5/UgMkoiIiIiIbKFubGL16mJByu+1a4tNaY/D5uF2nbROEoMkIiIiIqI6qRubePeb3yu7aCztDQySiIiIiIjqtHp1seIASXC7GtuYLIcgwGHjeLtO6kli4gYiIiIiojrlD7ErpufkUfSeONLg1lC92JNERERERGSzweh30PO4ORgS3C70njgCwbU7H8EF2JtsoXP6kRgkERERERHZrufxIzjwjUeb3QyqEYMkIiIiIqI2xDlJtWOQRERERETUhhyCdrOtPvuqankMkppB1e62t1SjaHNtEwBw7/Y6AGDj1j0AwNYd7V69t6Wds7mtbWfvsVNFoewvhaB/g+DU7gWH+R5Oh2W50JX9Vcj57TL26XXp52a39WMdDnP5znnmawGAI78u/VhBsK4jv/3Z4/R6csvy6zCeE+Rv55+HAjtlxY/JvWZB3YUVWewrUlfxKqz2FjlWLXLRksUVXVgvLfp2rOIPdOFjLvUmt0c1X7KpNTentb99s3OxQSIior2OQVIFotEolpaWAACKosDn82FiYqLJrSIiIiIiKo6LydaOQVIZoVAIkUgEoigaZYlEAqFQCLFYrHkNIyIiIiKihmCQVEIikUAgEDAFSAAwOjqKCxcuQFGUgn1ERERE1B7UjU2sXl2saA2ktWuLu9Ci6giCUHTofk31sSeJAGB2dhaBQMBynyRJmJubg9/v3+VWEREREVGjqRubePeb38Pa29eb3ZSaOWBvsoVOStzQSY+1ah6PB9PT05b7UqkUhoeHd7lFRERERLQbVq8u1hUgCW6XfY2hXccgqYSJiQnIsgyfzwdZlo3yYsPwiIiIiKg9VDLErpiek0fRe+KIja2pjb5Okp23TsHhdiWIooiZmRkEg0F4PB5EIhFIkgRRFDE5Odns5hERERHRLhmMfgc9j5cPfAS3C70njkBw8WP2XsZXrwy/34/5+Xn4fD6Ew2F4vV5cunSp5Dnr6+tYX183tldWVhrdTCIiItpD8j8r3Lp9q4mtoUr0PH4EB77xaLObYZL/GdPtdsPtdpvKOqfvx14cbldGKpVCLBbDwsICIpEIUqkUhoaGkEqlip4zPT2N/v5+4zY4OLiLLSYiIqJW98OXovjSg18wbqd8TzS7SbQHDQ4Omj5z5s+l53C72gmqWvv68e1OD5By10OSZRnBYBCpVArz8/Pwer0F51n1JA0ODuLTjz9DX18f7q1vAgBWb98zjrn1kfZNwNqntwEAG8pdAMD2La0eV/ZY16o2PtZ5bwsA4Njc1u63si/jtsXL6dDe0Gr2fa3q2w4tRt52ZreNe3P5tstpVKUfs92lH+MwbQv6ffYa+jbytvX9JY/V751CyeMcDn175yEL2TJH/rnZ9uq/4/q2/jVLfl16PVbnGH8nhLxr6Pf6AXpdRgU57YS5zNil11nkb9FOeenjil3XYnPnmpaVFKmz6DWL7qn8nDJ/h0vuLte+0lXXcXD556bRdvfye+s/yw76v532gPzPCh9/8jFO+Z7AzZs30dfX18SWke72f30X7/3i943tL/+7H7RMT9LKygr6+/tx48YN0/tF70nS9/9H8ZdwQLAvgcRtdQN/Rfndqt+n8XjcWDonnU4jEAjUlCFa/xx+7tw5y8/gumg0iqWlJaNTIxwOV309DrcrYXx8vGBonSRJmJ+fRyAQQDgcxuzsbMF5Vl2dRERERLr8zwq3bnG4HVWvr6+vZLBid++Po4Yvx0KhEHw+n2k+fzAYBICKA5dQKIRMJgNJkkqO5gK0gGhqaspIsJZMJhEIBBCJRKrKKcAgqQhFUTAwMFA0g93MzAyGhoZ2t1FERERERHtEKpVCMpk0jcoCgEgkAp/Ph+Xl5Yrq0c9XFAXRaLTocfF4HKFQyPT53e/3IxKJGL1JpXqgcjFIKiKTyZTcL4oiJEnapdYQERERUS3UjU2sXl2sOqX32rXFBrVo9wiwd2B0tXXFYjHL3iL9M3Qymaxp2F0x6XQaExMTBeUTExMIh8O4cOECg6R6SZIEWZaN8ZP5UqkUxsbGdr9hRERERFQRdWMT737ze3UtCruXCXBAEOzL0yao1dWVTCYxOjpquU+SJMzOztoaJEWjUSiKUtBzJYoiRFEsO1QvF7PblaCvkaQoiqlclmVMT09zrSQiIiKiFrZ6ddG2AElw25cAoVPIsgyPx2O5b2BgoKqgpRJ+v7/oVJliHR/FsCepBK/Xi1gshnA4DADGE+vxeDAzM9PElhERERFROdUOsSum5+RR9J4ov5BsqxEEm3uSsnVVsj5TJcpNb6mWVUI1QAvWACAQCFRcF4OkMiRJKuiyIyIiIqK9ZzD6HfQ8Xl2wI7hd6D1xBIKLH5t1+WuAfv/738dv/MZvmMryR2LlE0XRCF4aLRaLQRRFy/lKxfDVJiIiIqKO0PP4kZZZ62g3CNl/dtYHwHJ9plpUM/ytVqlUCvF4vGBZn3IYJBERERERUcXKrc9UiXI9TXYJBoOYmZmpOKudjkFSE6iqdr+9sWWUba5qY2a37tzTCpbXAAAHPlsFAOzLaNvOFe1euHUXAOBY1Y4X9DG3m9s7F9rWLiRs55QBUB3ZsakOwXSvdmXLnU7zdpdz51xX9ufsPrW7y3QPp16uHbedPXfbpZVv6ec5d77V2M6Wbbuc5u3sMfq5el3GuV3mxyF07Yy5FfSy/H1GubYtOIW8csFUrm9rxzgs9wmC9TkF99nnJndNN71M/5KnoC7B2KE1wWneNurKqXSnXcg7Vn+s5msZ10b+do68hejy16UrXKdOKFKee05+JRbXtbq29aVK1120DUX3VH+OUa5WWWNFDaq4DuPqVX5xWOlzVuRqtrNx7UODWra5DbjoLmvE80ZEe5ggADbOSarmj4zeS1QqGBoYGKizQaUFg0FEIpGaMugxux0RERERURvSEzfYeauG1+vF0tKS5T5ZlqtKpFCtcDiMsbGxoinIy2GQREREREREtvP7/UWTM8iybOsaSbni8TgCgUBBgJRMJiuug0ESEREREVEbEgTB9ls1xsbGLAOTVCoFURQt5wnVO1cpmUxCkiTLAKyadZk4J4mIiIiIWo66sYnVq4t1rXW0dm3RxhZRtbxeL86cOYN4PG5Kvx0Ohy3XHPX5fEilUkin05AkqWB/uXWVUqkUYrEYxsbGkEgkTPtkWeZiskRERES0d6kbm3j3m9/D2tvXm92UPU2AA4KNA8dqqSsWiyEajSIajUIURaTTaYTDYcuenuHhYSiKUpDQIRwOQ1EUo1cqGAwa5+euZzoyMgJFUQoCJF2xxWatMEgiIiIiopayenWxIQGS4HbZXmdLEwR7017WWNfk5GRFx+UGPLkikUhF5y8vL1fcpnI4J4mIiIiIWko9Q+yK6Tl5FL0njtheL7Un9iQRERERUUsbjH4HPY/XHuAIbhd6TxyB4Oqsj761pO0uV1+n6Kx3ChERERHtOT2PH8GBbzza7GZQB2GQRERERETUhlohccNexSCpibY3t42ft9Y3AQCbt+8BAPZ/vgoA6P3kFgDA+VMt5aHzM217a1W7X9+4rZ23eVe737pr1Klub2nXUbV7Vd3Wd5gbku06FYx7IXvvBAA4hJ23icORLXO4svuy206XqbzLYd52OLU61Gw3t9qd89brdubtc5qPcZm3jXu9XL937vzibru0n7e6tPtt/T5brh9rlDu1x7xVZL9Wln1esvsEfduRPcaR3c6eI+jb2Xs487ZN+/TnPq/cYb4WjOL88p06HXll+e0wrqE/X8bh+uMTTNumuvLbl1decM388tw69csL5scmwLxtNKFIW6wU7it9TsG6DxbHFVYplNlfqn3FdqqlLlFR5UXPKTPXVsi7dnWVV3Wpik5SyzSn2rU6KlPBc1ChhjSvAqrapAs3SLOeR6J2UcvaRuXq6xSdEw4SERERERFVgD1JRERERERtiIkbascgiYiIiIjqpm5sYvXqoi3pu9euLdrQIqLaMUgiIiIiorqoG5t495vfa8gCsFQHwWHMPbetvg7BIImIiIiI6rJ6dbGhAZLgdjWs7nYmZP/ZWV+n6JxwkIiIiIgawo4hdsX0nDyK3hO1LyRLVAv2JBERERGRrQaj30HP4/UHNoLbhd4TRyC4+JG1FloKcDsTN3ROTxLfcURERERkq57Hj+DANx5tdjOIasYgiYiIiIioHdmcApyJG2hXbG9u7/x8bwsA4FjVxvTuU9YBAM6PlwEAXR9lAAB37nwKAFhb17ZX128DAG5vbmrbW1tGnfe2tZ/Xt7XrbG5rq8mr2VXlt4ssae/IdqXqk/O6HDtdq87svq7svdO4135pXNljXdntbodebr53Onbeeg6HK3uvlXU53Xnlruw52Xtnt7ncqd2rXTlv526nVrYvuy/bTa/q5d3ZY13mbeM+W46unT8G211a2bZLK9vK7lOdQna/I7vfaSrfOS6737nzfBrnZPcJ2X1Cdhv6tsN8D/34/PJS5+ivq7N0OfTzcrrUjXME67oL6iq6f6eZRl351zfKYV23APN2zmMv2KcX5P1NN8qNu8L2GcfmVV5spEFhuVBmv0V7rE8tbJZFZUWrz6+rhqESO6fk/82wrquiS+Qfo5benU+t4mHUNDikxhEl+vNb5M/rLih94eaPlKmuAc17HqvT/OeViOzGIImIiIiIqA0xu13tGCQREREREbUjrpNUs855pERERERERBVgTxIRERFRB1M3NrF6dbGutY7Wri3a2CKyi5YC3Mbhdh00AY9BEhEREVGHUjc28e43v4e1t683uylELYVBEhEREVGHWr262JAASXC7bK+TqifYnALc1nTiLY5BEhEREVGHqmeIXTE9J4+i98QR2+ul6glwQLAxBYGddbU6BklEREREBAAYjH4HPY/XHuAIbhd6TxyB4OJHTNrb+A4mIiIiIgBAz+NHcOAbjza7GWQXQbB3teMOStzQOX1mREREREREFWBPUhOoqqrdb6s7ZZvbAADn3U3t/vY6AMCxvAoAWLubAQDcWfsMAJC5exsAsHzvHgDg5oZ2v7q9adS5Bq2Oe9DKNrL3m9gCAGxDNd3nc2RXVXZs7XxroK+07MzG1zv3TgCAK+9eL+/Syx3a8a6ciX9up7nMOMahXcvtMJ/rzt53ZcsdDm1yqNPZbdTpNMrc5mPyjt05V7tXu7RfCXVfdsJpt9OoU80OHVCzZWp39tfHZd42yrOPSz9+uyt779p57NtOIbsve2z2HH3b2K9fI+/4Lf0azp3XSP9ZyO4T9O3s8waHvi2Y9hvl+rdEOXUKeefoj00/1CjPXsN4efPqFHLrNE7Ovs+c5u38axpfXuXVlZuO1PjZYX2NgvYKRep25NaZty/vGoWPR78zb5uOLahcNW/mH79zQkXHW7bLKDD/vhdUYVFp0cvk15U9V7X+k1KkfdblapGr7jxlJS6Sd2r+kRV9D6qfVOG3pjvNqubBV36o6bQ6vsmtpnn1sm7mLjbA0Phvvu14XnfztaHOwcQNtWOQRERERETUhpi4oXad80iJiIiIiIgqwJ4kIiIiojahbmxi9epixam9164tNrhF1EyCINQ1RNeqvk7BIImIiIioDagbm3j3m99ryOKwRJ2GQRIRERFRG1i9ulh3gCS4XfY0hlqCAMHexA27kAilVbRckLSysoK5uTnIsgxFUbC0tITDhw9DkiSIoghJknD06NFmN5OIiIiopVQ6xK6YnpNH0Xui9oVkqQVxnaSatUSQtLKyglgshlgshoWFBXi9XgwNDQEABgYGsLy8jD/90z+FoiiQZRnLy8vw+/0IhUJ46qmnmtx6IiIiotYzGP0Oeh6vLOgR3C70njgCwdUSHw2Jmq6pvwkrKyt45plnsLCwgFAohNnZWSM4KufSpUu4ePEiQqEQIpEIvv3tbze4tURERER7R8/jR3DgG482uxnUREwBXrumBUmvvvoqLl68iKmpKZw6darq80dGRjAyMgIAOHfuHMbGxnDu3Dn09fXZ3VQiIiIiIuogTQmSfvjDH8Lj8eDChQu21Dc+Po4zZ85gcnISZ8+e3TNzlnJXZtd/dm5uAwCE7Lhi4a52v7GxCgC4t3kXAHB7cxMAcGtT239r+55WjjWjzjWsAwDWoR1zD9o5m9n7LWjX2i6zArojZ5KePmHPCWf23mF578q+tXa2teO7trtM2wDQveUylbmyEwxdDu2+u+A+e5xDa4vb2N75dsOd/bkru8/pdGuPxaFdv8vYdpnunc5u7X7NXK7t035Wu/X77K9Pt3YNNTtEQdW39f0ubdvR3WUuBwCnw3TOdlf23qWVbzuFbHn2uOzx+rax37XzfKp6mXGu07St7xeyz5GQfR5hlJvvc9tZsC/vHH2ssnGc07rcVJY9Ziu7y6G/jtk7o516VfltyBkfnb9v5xj9UMF0b1xDyGtnbjPzH5u+L/+x5pcXuwaw8xsnqNnmZV+bvKHe+qZqnKuarqVa/OruXCZbp2o+J//XXd8UrCoV8o4pvFpeZUX+llgMYdevV+yU/IaWesyF7ci/Vsndlu3bOVgte4ipzirG6wul//RanKA3qdoTm5O2t4ZmNmi6Qw0N6aDJ6dTeBMFhb+IGG+tqdbseJL355pvw+/019R6V0t/fj1deeQXnzp3D+Pi4rXUTEREREVFt4vE4FEWBKIpIp9MIBALw+/1V1yPLMoLBIM6dOwev19vQ6+16kGR3cJSPARIRERERUWssJhsKheDz+TA5OWmUBYNBAKg4cAmFQshkMpAkCalUquHXA5o4J2lsbMy24XZEREREnUrd2NTWSLq22OymUItp9nC7VCqFZDKJWCxmKo9EIvD5fFheXq6oHv18RVEQjUYbfj0AzUtRkUwmsbjIX2YiIiKiWqkbm3j3m9/DT/z/EDcmf6fZzSEyicVilr03kiQB0OKBVr1e04Ikfa2jqakpXL9+vVnNICIiItqzVq8uYu3t65b7BLfLspw6iL6YrJ23KiSTSYiiaLlPkiTMzs7a8CAbc72mDbfzer2Ym5sDoKXwTqVS8Pl8eOaZZ5rVJCIiIqI9Rc1mw83Xc/Ioek9UtpAsUaPIsgyPx2O5b2BgoOz8omZer2lBkh4gATvJFt58802cPXsWgiBgbGwMTz75ZJNaR0RERLT3DEa/g17vMfSeOALB1bSPedQqHA7tZhfV3kFomUzG1vrsvF5L/facOnXKyH736quv4pVXXsHw8DB7l4iIiIgq0PP4Eew/Zf1NOnUeVRBy1tqzpz4AWFlZMZW73W643W5TmaIoJesSRRGyLNvWNruv17IrQj399NN45ZVXMDIygrNnz2JqagpXrlxpdrOIiIiIiDra4OAg+vv7jdv09HRN9RSbP9Qo1VyvpXqSrAwNDeHFF18EoPUuxWIxHDt2DOPj4+jr62ty64iIiIiIWpRD0G52UbW6bty4Yfocnt+LVIlyPT92q/Z6LR8k6d544w1cvHgRMzMzAIB/+S//JS5fvtzkVtXHakEuo0s07w2t56V3ZPd3Ze+d2XsHsts5nYP6z/n7VDjNdUMt2U79fO1Yh6muwnunaduV3e7KvtX0bVdOG4xzBf1eu54rO4a2K1u+s53dL+Rv77TTeF4EZ9691g4hv9yRt99hLtcqzf7c5TDdq9ly1SjPHufM7u/K2+/ceY30sm2nfq+1O/s3CKpDv0be/uz7Qy9Xc94uxjH6dfS6ss+J/r4T9PeY07y9U77TTqNMv05eXTvb2f2OIuU5r5HgNNfp0MdM683OO1fIqxP5jwMWSXeMQ/Pam3eN/Hbm1lnsMRjPV7HnpFQ/vfHQrf/jMkrzHlCpERPF9pUbZVHwd8ji+IKiSodu2PD/cvFLla+8bDMraF/FD6GK4SxVPy11PI92LiLZSK3TzJZpCFFL6+vrK9tZoffalApOBgYGbGuT3ddr2eF2gDbe8aWXXsLx48cRCAQwMzOD0dFRzM7O7vkAiYiIiIioofSeJDtvVfB6vVhaWrLcJ8syAoGAHY+yIddryZ6kN954A5FIBMlkEqqqQpIkvPjii5iYmEB/f3+zm0dERERE1PoaNNyuUn6/v2iyBFmWLRd+rYed12takPTGG2/gqaeeMravX7+OWCyGeDwORVGgqiomJiYQCoWMjHdEREREVNzatUXTtuB2MR04Nc3Y2BhGRkYKylOpFERRhNfrLdinKErNCR1quV4xTfuNCYfDuHz5Ml577TXEYjGj18jr9SIUChlrJxERERFRZW5M/k5BWc/Jo3j09RcYKHUg1SEY85ttqa/KniSv14szZ84gHo9jYmLCKA+Hw0aegVw+nw+pVArpdBqSJBXsL7fOUbXXK6Vpvy3z8/NwOp1QVS1pAHuNiIiIiKojuF1lj1l7+zpWry5y/SRqilgshmg0img0ClEUkU6nEQ6HLYe+DQ8PQ1GUggQL4XAYiqIgmUwCAILBoHF+LBar+XqlNPUrhVOnTmFqagpPP/10M5tBREREtCf1njiCnpNHsfb29ZLHqesbu9Mgai2CzXOStmura3JysqLj8gMeXSQSacj1SmlakOT1ejE3N9esyxMRERHteYKrC4++/gJWry6aAqG1a4uWQ++ow9iduMHOulpc04KksbGxZl2aiIiIqG0Iri4OpSOyWdPWSXr++edL7r9+/TrOnz+Pqakpo+zmzZt44403Gt00IiIiIqK9r8nrJO1lLZnm5OzZs8ZkK0EQMD09DQDo7+/HoUOH8NJLL+G5555rcittkLPEuJB90227tLh1u6cbAKAecAMAXHf2AwDcrgMAgP6tLe04aIkvHNm69m3uvKR31X0AgHVo3e+b0M7Zwnb2fsvUHKOu7IrjQvbekRNLO7M/6/tccGbLnab9LsGZvc8el82sYtwLO3Xu7NOOdTucecdq5d1O7bE5HNokVad+7+w2lWtlbtMx+j5Hto6u7H61K/t8dWvXVLu1bTWbAWgrW64do+/LO1Y/xmXe3u7K3jvzXtuunceuOs1lO8dmr6FvG/sdpnL9XsjJXCN0mcv091ZX9l7InqP/oTPOzd4JRnnOH8LsdfW3rLHPuAbMdQrmaxnbjsL3PPL2Gff6bqfeMP1wc525X/UYZUJeHfnXEmDedliXW11HyNlnatfOD7l3uY2z+rHYIebKy5xXql1FNotWZllatL2V/WdZ+rDSdRQ9t4JLV/xfeYWPo6o6az4h59Qq2tVMzW9m0xtARG2oaT1JxZw7dw6yLCOdTiOTySAej5v2nzp1CuPj4zh//nyTWkhERERE1Pq0FOD23jpFy/UkpdNpXLx40di2+iZN71HaTdFoFJcvXzZytns8HlP+dSIiIiIiag8tFyR5POaJh/o6SvkWFhZ2ozkAgEAggGAwaCxCpSgKRkZGMDw8XNXKvURERETNsHZtsarjBbcLvSeOcAHavU5w5IyJt6m+DtFy7/xKx2Cn0+kGt0QTCoXg9XpNvUaZTAayLO/K9YmIiIjqVUs68J6TR/Ho6y8wUNrLmAK8Zi33rl9eXsZrr72Gb3/72wCsg6bvfve78Pl8DW+LLMuIx+NYXl42lUuSVFBGRERE1CoEt6v8QWWsvX0dq1cXmV6cOlLLBUnPP/88hoeHMT09jbGxMaTTaYiiCEVRcPnyZcTjcfj9fjzzzDMNb0skEoHX64Uoig2/FhEREZFdek8cQc/Jo1h7+3pd9eQuUEt7EHuSatZyQRIAzM3NIRqNYnJyEgAQj8ehqipEUUQkEsH4+PiutCOZTMLv9wPQepVkWYYkSUbyBiIiIqJWJLi68OjrL2D16mJVgc7atcWahuYRtZuWC5KuX7+Oo0ePYnJyEpOTk1hYWDCCk6GhIeO4qakpY/2kRpFlGaIoIpFIQBRFDA8PY25uDuFwGOfOnSvaw7S+vo719XVje2VlpaHtJCIior0l/7PCrdu3bL+G4OriULk2l/8Z0+12w+12G9t2p+3upBTgLZeiYmZmBm+88YaxPTQ0hJGREVOAdPPmzYL1k+ymKAoAGAGa3++HKIrw+/0IhUIYGRkpeu709DT6+/uN2+DgYEPbSkRERHvLD/+3KO5/6AvGzTv8RLObRHvQ4OCg6TNnQQeCPtzOzluHaLmeJACIxWJ46qmnLPdduXIFo6OjRhDTaLIsF6T59vv9SKVSSCQSGB0dLThnamoKv/Zrv2Zsr6ysmAIlPRmFw7nzRhNcTgDAxj7tJdk8qH0L4LzvIADAvXqf6RpOZzcAYP897Zunw5vat1FrW1vGMevb2s8b21oa9S11GwCQ3YQKc3p1Ibtquf7+d2Tb6cxJnqH/3JVNAalvuxyObLl52+nQHo/D4cred2XLdyaU6vucTrdpn3GOM+8cl/bY0a09Z2q3tl/Nyb6jZvfB2Kdtb2e31/X92XP047e7svcurf3bOa/RdpfDdK86HXnH5u8XzOdl9wu5r3u2DNkywWG+h35OdrvLKC9yfO452SJjn0OvK3tcttyRLde/MhEc5vNz22mU5b+Hhbx2GJfMq9tUqWDdzrzy/LoLynPrzL+OcZf3R9282/xgCzeL7KvsHMuMndbNKVpZ0eZYVV1hhtAilyp/gVLnVHDpiltXxeOo+r/sGv6Pr/Z53W3NbV5rPzf1aOTzOvncJP7e3/17xvbHn3yMUz4GSlSdGzduoK+vz9jO7UWi+rRcTxKg9Sa99tprBeVTU1Pw+Xzwer3o7+9vaBv0oXTDw8OW+71eL2ZnZy33ud1u9PX1mW5EREREuvzPCgcPHGx2k2gPyv+8WRAkORz23zpEyz1Sr9eL+fl5LC0t4cqVKwC0eUrDw8OIxWJ4/fXXcfHiRczPz+9Ke0pltpubm9uVNhARERER0e5pueF2+lyfU6dO4dy5c7hw4QKi0SgmJiZMQUnuHKVG8Xq9JYf1DQwMNLwNREREREQ1EWyeR9TiQ4/t1HJBUq7x8XH86q/+Kl555ZWCtN9XrlzBk08+2dDr+/1+JJNJy32KohjpwYmIiIja0dq1RVvqEdwu9J44AsHV0h892w6z29Wu5d+pr7zyCqampnDr1i0cPLgzXnd6ehoXLlxo6LVDoRCi0SgURTENu9PXTAqFQg29PhEREVEz2blmUs/Jo3j09RcYKNGe0LR36be+9a2Kj11aWkIikTCyzCmKsivzgSRJwuTkJMLhMGKxmFEeCoUQiUS4qCwRERG1FcHtKn9Qjdbevo7Vq4tcu2k3CYK9Q+Q43K7xLl++jOHh4YL02pXYrSAJACKRCOLxOEKhEERRhKIoCIfDHGpHREREbaf3xBH0nDyKtbevN6R+dX2jIfUS2a1pQZIkSXj99ddrPj+TydjYmtImJiZ27VpEREREzSK4uvDo6y9g9eqiLQHN2rVFW4fsUZXsXgCWc5Iab2Zmpq7zI5GITS0hIiIiIp3g6uKQuHbBIKlmTVsnqd4U3ruRApyIiIiIiDrPrvckLSws4PDhw+jr62tI/W+88QaeeuqphtRtNyEnGne6ndoPB7oBAHfFfVr5g6LpnO6MtpLyvmWtfHNjTbvfvAsA2NpaN47dVrdM90XbAa0dgqDFzA7BmW2fM7u98zbZKcveO7QJnk6ndq92ZY/t0upSu7uy99nH5+oylQOA6nKay7LHqtljN7Pb97LHbWfr3nZlr+Ewb1sds+10mMpVp2A+LrtfyG4br41z5zUSnOZ9gr5P3862w5FX3pV3fO7rrq9cLehNz+5z6CtaZ+8K6hbMdeXWqc+p1NsL45S8dgh5dembFnUWXE/IK9cL9EvmT+zU64ZgUZbXcOtNi7miQpHyQjuP1bJZpS5icUyZa1Sg+KHWO4oeX8ljr70xtVyuygMtTm3RScHNaVZrPhf1aNGXl6htaSnA7esT6aQU4LvekzQ0NITJyUlcv37d9rrPnz9ve51ERERERNRZmjLc7pVXXsGLL76Il156yZb6FhYWcObMGUiStGd6kYiIiIiIGkqfk2TnrUM0LXHDK6+8gldffRXDw8MIBAIIhUI4evRoVXW8+uqriMVi8Hg8OHfuHPr7+xvTWCIiIiKq29q1xbrrENwu9J44wkVpqaGa+u56+umn8fTTT+PVV1/FxMQE5ufnjbWTPB4tq8rAwAAALeW3oii4fPky0uk0FhYWMDExgVgsxiQORERERHuAXenAe04exaOvv8BAqRxmt6tZS7yz9GDp5s2bSCaTkGUZc3NzRmCkkyQJfr8fZ8+exalTp5rXYCIiIiIqS3C7GlLv2tvXsXp1kanKy2GQVLOWCJJ0/f39ePrpp5vdDCIiIiKyQe+JI+g5eRRrb1+3vW47FrslKqalgiQiIiIiah+CqwuPvv4CVq8u1h3UrF1btG24XqfQUoDb1/vTSSnAGSQRERERUcMIri4Oi6M9h0ESEREREVE7EhzGwvW21dchGCQ1gb7iuMPlNMqcbu2l6NrfDQBYva/XdI67R9vv+lKfdu6dda2u1XvaeRtb2v22unPS9nb2PluW30XapV3f6Dp1am98NVuOrux2d87bJHvMVrd2zEZ2ezt77LbLvK0W2b/VtfNLZhyT3ae3R98WnPq9Vi44zNt6m4Scx5d/jv7Yndn7nbr0/fnXMB8HAIKQvy97jpB3TUde3cYlso855++L8Vj0Q41z8q6l3+vN0fcbb6acOgXzdQXkb5vrKLJZsJ17tvW+nGubD4d1VXnXt75U8bpLKDzU+tyiVVZwqbKHVNDeih9RDaMbqnm+Gm33m9I6j70WLfTSEdFeJwj2/lHpoD9QnRMOEhERERERVYA9SURERERE7YgpwGvGIImIiIiI9py1a4t1nS+4Xeg9cYQL0u6CeDwORVEgiiLS6TQCgQD8fn/D6ohGo1haWgIAKIoCn8+HiYmJqq7HdwURERER7Tl2pAPvOXkUj77+QtsGSq2QAjwUCsHn82FyctIoCwaDAFBxoFRNHaFQCJFIBKIoGmWJRAKhUAixWKzidrfcnKSpqalmN4GIiIiIWozgdtle59rb17F6tb4eqZamD7ez81aFVCqFZDJZ0IsTiUSMIMfOOhKJBAKBgClAAoDR0VFkMhkoilJx21suSIrH41hcbOM3KxERERFVrffEEfScPGp7vfUuckvFxWIxy94iSZIAAMlk0tY6Zmdni9YjSRLm5ubKXk/Xcn2Ly8vLmJiYQCAQwOjoKI4ePdrsJhERERFRkwmuLjz6+gtYvbpYV2Czdm3RlqF6e0KTEzckk0mMjo5a7pMkCbOzs2WH3FVTh8fjwfT0tOXxqVSqqhFrLRckRSIRPP/88wCAS5cuYWZmBh6PB9/+9reb3DIiIiIiaibB1YX9pzzNbgZVSJZleDzWr9fAwABSqZStdUxMTGB6eho+nw8zMzNGb1OxYXiltFyQpAdIADAyMoKRkRHcvHkTP/zhDyEIAnuXiIiIiIgqoAoCVBsXgNXrWllZMZW73W643e6q68tkMnW3KbcOURQxMzODYDAIj8eDSCQCSZIgiqIp6UMlWm5OkpX+/n48//zzeO6555BIJHD69GmcP3++2c0iIiIiImpZenY7O28AMDg4iP7+fuM2PT1dcO1ySRJEUSx7TC11+P1+zM/PQxRFhMNhTE9PY3h4uGQ9VlquJ6mY8+fPIxaLYX5+Hl6vF6qq7uHeJe0N5nDtxKiuXi1jy+bBbgCAurUNAFjLHrPer0Xnzrub2v29La2OLVWrMXu8FSNdYzb617dVp3a/7XSYt7scluUAgOw+fUyqkN0W9O3sOYLTvA19O3ucw7nz2IW8fXA4LMt3th3ZOvL359SpP2RnXvsEc136gY687fzzc8t2jtHbC/M1oJ9suiuo28rOvtLHGte22J9/vYLyIgVCBd80FR5ifU7Rqko99sovWmmVNR9cyXOxG3anGa3xWCvVIi8NEVFHu3HjBvr6+oztWnqRAFQ1/K3SOlKpFC5cuICFhQXE43GEw2EMDQ3h0qVL8Hq9Fdfbcj1Jr732mvHzlStX8N3vfhdOpxMTExPw+XyYn5/H3NwcxsfHjd6ldDrNniUiIiIiolyCYP8NQF9fn+lWS5BUTTruSutIpVKIxWLGOkmTk5NIp9OQJAk+n6+iOVC6lutJGh8fhyzLuHDhAlKpFE6dOoVXXnkF4+PjRc8ZGRkBALz00kt47rnndqupRERERERkQe/hKRUMDQwM2FrH+Pg4Ll26ZNovSRLm5+cRCAQQDodLpgnP1XJB0vLyMsLhMMbHxxGPx3Hq1KmKz+3v729gy4iIiIio3axdq259TsHtQu+JIxBcLfcxuoDq0G521lcNr9eLpaUly32yLCMUCtlWh6IoGBgYKDqEb2ZmBkNDQ5U1HC0YJOnRXjUBz6uvvooXX3yxoieaiIiIiEhXy5pJPSeP4tHXX9gTgVIz+f1+yLJsuU+W5bJrJFVTR7lMeaIoGinBK9Fyc5JGR0er7hHSxxlW8kQTERERUecS3K6661h7+zpWr1bXA9UMegpwO2/VGBsbQzKZLChPpVIQRdEykUL+0LpK65AkCbIsFx2al0qlMDY2VnHbWy5ISqVSFSdheO211zA8PIyzZ8/iV3/1V/dYhjsiIiIi2m29J46g5+TRuutR1zfqb0yjCYKWkdiuW5VBktfrxZkzZxCPx03l4XAYMzMzBcf7fD4cOnTI1HNUTR36Gkn5gZIsy5ienq5qraSW6yMMBoN45plnyh735ptv4plnnsG5c+fQ399vPFG56QiJiIiIiHIJri48+voLWL26WFWgs3ZtsaaheZ0uFoshGo0iGo1CFEWk02mEw2HLEWDDw8PG3KJa6vB6vYjFYgiHwwB2Ej94PB7LoKyUlguSdK+99houXLgASZLwy7/8y3jiiSdM+8+ePYtIJIKnn34agPbg4/E4s9sRERERUUmCqwv7T3ma3YzGEwDVzvXlaqyr0h6cWCxWdx2SJJWsp1ItN9xufHwcAwMDGB0dRTqdxszMDLxeL377t3/bdNzc3BwCgYCxPTQ0BFVVd7u5RERERETUZlquJ+n8+fOIRCKmdZEURcHExASCwaAxnE5RlII5SHas2rsb9OGcDsdOjNrVo00idB00L8bl2Ke9RNv3trT7LTV7vw0AyI8LTUNFjQtp90LePZzmbYd+73SYj3futFPIO2dn25E9N39/fl36tQrr1NubX4dent9+QRDyzs956DCXGbv0c/K+CdnZtt6fe738b1EK6i44sUg9Fgp3WR9bcFyJb3aK7irSjqq+JCpzcKnH2kiNvWxzHlOlmvSUExFRC1IdAlSHff8x2FlXq2u5nqQPPvigYOFYURQRiUSMzBY3b960PLdZH8iIiIiIiFqNKtid4a7Zj2j3tFyQdPjwYctyQRDKDqcrtRovERERERFRJVpuuJ0oinjppZdMCRiuX7+OUChkZKWQZdkyYPr88893rZ1ERERE1LnWrpVeJ0lwu9B74khzF5wVqk/bXba+DtFyQdL4+DjOnDkDp9MJSZKQyWSgKArGx8eRTCaxtLSESCSCSCSC8+fPG+nCX3vtNZw+fbrJrSciIiKiTlBJOvCek0fx6OsvNDdQopq05Ct28eJFJJNJJJNJeDwe+P1+DA0N4ebNm5ibm8P8/Dz6+/tx9uxZjI2NYWBgALIs4/d///eb3XQiIiIiakOC21X1OWtvX8fq1cWmpRtXHdrNzvo6RUsGSQDg9/sLFojq7+/HyMiIsf3iiy/i1VdfRSaTwY9+9KPdbiIRERERdYjeE0fQc/Io1t6+XtV51SxYazc94YKd9XWKlgySrl+/XpDeuxh9MVkiIiIiokYRXF149PUXsHp1sWTgs3ZtsaKheNTaWi5I+uY3v4lLly5heXnZWBOJiIiIiKjZBFdX04bO1cQhGOtl2lZfh2i5kYWBQACvv/46AyQiIiIiImqKlutJAmCad1TM1NQUpqend6E1DZANwh050birV5sMuL25re3r0uLXrXtbpnIj9bmeAT0voHc4cuLe7I9CtszhFLLb2Xunw7ydf28cv1Nn0ToE87V2rp09LttQYyhrzpjW/OGtO9tCkf1C7u6dpyC3zoIf8s5FfnlBSflj8uu2rNmy8grOKXpKtsrGf5PTmEu0xjdQHTSkmoiIOpi2mKy99XWKlutJmpiYwEsvvYQrV66UPE6W5d1pEBERERHRHqQ6BNtvnaLlepLOnj2LTCaDWCyGTCYDSZIwMDBgOiaTySCVSjWphURERERE1M5aLki6cOEChoeHS2atW15eZk8SEREREVEpgmDvGPMOGq/eckGSJEl4/fXXyx63vLy8C60hIiIiIqrd2rXFgjLB7ULviSMQXC33UZyyWu6VmZmZqei4SCTS4JYQEREREdWn2JpJPSeP4tHXX2hooGT3PKJOmpPUcokbhoaGAGgLyp4/fx5TU1PGvps3b+KNN94wHUdERERE1CoEt6ui49bevo7Vq4W9TNQaWi5IArTkDZIkYXJyEvF43Cjv7+/HoUOH8NJLLzWxdURERERE1npPHEHPyaMVHauubzS0LSp20oDbcmtoa1tLyw23O3fuHGRZRjqdxtDQEF599VXT/lOnTkGSJJw/fx7PPPNMk1pJRERERFRIcHXh0ddfwOrVxYIgaO3aYtHhdw3hELSbnfV1iJYLktLpNC5evGhsWy2aqfcoERERERG1GsHVhf2nPM1uBtWh5YIkj8f8hlJV6469hYWF3WgOEREREdGepAoCVBvTdttZV6truSDJqufISjqdbnBLGkd/jA7nzmN1dmsvRfdBfdsJANje2tYKtotU5jDXKeR0g+o/G/dOh3lbP8dp3oZ+p+/PeUl2fi7cZ1lH3ol5p5vPKbiGxcG5+/OvnX+adWXFjy25o/L3ZjXqr7I5f6w66G8kERERdaCWS9ywvLyM1157zdi2+mD63e9+Fz6fbzebRURERES0p+gpwO28dYqW60l6/vnnMTw8jOnpaYyNjSGdTkMURSiKgsuXLyMej8Pv9zNpAxERERFRCXpWOjvr6xQtFyQBwNzcHKLRKCYnJwEA8XgcqqpCFEVEIhGMj483uYVERERERPVZu6atkyS4Xeg9caShC8tSdVr2lZicnMTk5CQWFhYgyzIkSeICskRERETUNnLTgfecPIpHX3/B3kCJKcBr1rJBkm5oaIjBERERERHteYLbVXTf2tvXsXp1kanDW0TLJW6o1NjYWLObQERERERUsd4TR9Bz8mjR/fmLz9ZLTwFu561TtGxP0pUrV5DJZCz3KYqCVCq1yy0iIiIiIqqd4OrCo6+/gNWri1DXN7B2bdE05M5uqkO72Vlfp2i5IGlhYQE+nw+KopQ8rhFr1hARERERNZLg6uKQuj2g5eLBcDiMc+fOYXl5Gdvb20VvIyMjzW4qEREREVHrEgT7bx2i5XqSTp8+jaeffrrscYFAYBda0xj628uR80ZzdmnxqiBoL4nT7QQAqNuq+dy8N6exbb7TfnZYH2ucUuxc/bj8Blte33xQwe+ORbusD7Q4pswOO3oTa6ui8X8gOuhvEBEREVHLabkg6dChQxUd9/zzzze4JUREREREe5fqEKDamLbbzrpaXcsNt1NVFSsrK2WPe+2113ahNdaCwWDTrk1EREREVAlmt6tdywVJ4+PjuHjxIq5cuVLyuAsXLuxOg/JEo1Fm1iMiIiIi261dW8SdN9NQNzab3ZSO13LD7b71rW8B0BI4KIoCSZIgiqLpGEVRIMvyrrdNlmXMzs7u+nWJiIiIqP3p6cB7Th7Fo6+/AMFV50d1AfZOpa6xrng8DkVRIIoi0uk0AoEA/H5/Q+uIRqO4fPkyJEkCAHg8HkxMTFR8vZYLki5fvgy/34/x8XEcPnzY8pjPP/8c58+f3+WWAYlEAsFgEJFIZNevTURERETtRXC7LMvX3r6O1auLbZEqPBQKwefzYXJy0ijTp65UGihVW0cgEEAwGMTMzAwArYNlZGQEw8PD8Hq9FV2z5YIkSZJw8eLFssctLCzsQmt2JJNJjI6OIplM7up1iYiIiKg99Z44gp6TR7H29vWCfer6Rt31q4LNiRuqnJOUSqWQTCYRi8VM5ZFIBD6fD8vLy7bXEQqF4PV6Tb1GmUym6lFoLTcnSY/4yjl37lyDW2Imy7LRXUdEREREVC/B1YVHX38BX0n+Fgaj32l2c2wXi8Use3r0z9SVdD5UU4csy4jH45iamio4dnl5ueJeJKAFg6ShoaGKjuvv729wS3bE4/GqxjCur69jZWXFdCMiIiLS5X9WuHX7VrObRE0iuLqw/5QHPY8fqfrc/M+b6+vrpv3Nzm6XTCYLcgvoJEmqaK5/NXVEIhF4vd6ix1ej6cPtVlZWIMsyMpkMAOCpp54y7b958ybi8TiWlpZw8+ZNiKIIj8eD4eFhPPnkkw1vXy09SNPT0/jBD37QoBYRERHRXvfDl6J4Yfr/1exm0B43ODho2v7+97+P3/iN39gpcMDeLpEq65JlGR6P9byqgYGBijJGV1NHMpk0ep1kWTY+x9cyGqxpPUnHjh2D0+nEyMgI5ubmcOjQoYIACdB6jJ5//nm8+OKL+NGPfoShoSFMTExgeHh4V9qZSCSqzr4xNTWFmzdvGrcbN240qHVERES0Fz3/3CQ+/fgz4/bm/FvNbhLtQTdu3DB95swfZtbq9E4Su+qQZRmiKCKRSECWZQwPD0OWZQSDQSiKUlW9TetJymQyGB8fxyuvvFLVefqwt+9+97uNaJZJIpGoapidzu12w+12Fz8g21PpcO50WTpV7WdB0OJWh1rkVCF/WzCX5xwg5P0g5J0s5B2wU0fe+RYnFewr0vuaf81KVH+K/QubddBaaURE1AT5nxVu3eJwO6peX18f+vr6iu4XBKGmz2Kl6gNQMJXE6rNvuaBEFMWyyRSqqUM/VpZljI2NGfOP9M6OkZERzM/Pl6wvV1PnJFUbIOkmJiYaPidJURRkMhlbxjQSEREREbWLwcFB9Pf3G7fp6ema6rHjc3Z+HbIsFyRo8Pv9SKVSSCQSFdfbtJ4kq+FyV65csTxWkqSCKLnRw+3i8TjS6TRCoZCpfG5uDrIsG+XhcJhZ74iIiIio9Qiwd3hMtqobN26YPpuXHEFVRLXD38rVoQdLxWIEr9eL2dlZjI6OVlR304KkQ4cOFZSpqgpZlhEOh7GwsICJiQkEg0HLIMTqfDvlLlaVKxqNQlGUglztRERERER2Wb2Sxn7fMQiuOj6uC7B3VkK2rnLD/ICdoKVUMDQwMGB7HaV6p+bm5kpeL1dLpQA/deoUnn76aVy8eBFDQ0P40Y9+hKeeeqrsi0BERERE1E5++r1/hne/+T2oG5vNbkrNvF4vlpaWLPfJsoxAIGBrHV6vt66gLFdLBUk6r9fbskPY0um0LZk4iIiIiIh0gttVULb29nWsXl2svc5s4gY7b9Xw+/1FkzPIslxRBulq6vD7/UV7ixRF2duLyepaLWFCIpFAKBTCxYsXoSgKgsFgwXwlIiIiIqJa9J44gp6TRwvK1fWN3W+MTcbGxpBMJgvKU6kURFG0DFrye4KqqSMUCiGVShXUoa+ZVM1n96YFSeUma5WLVO2Y7FWN0dFRxGIxLC8vQ1VVzMzMcF4SEREREdlCcHXh0ddfwMMv/Ip9lToacKuC1+vFmTNnEI/HTeXhcBgzMzMFx/t8Phw6dMjUc1RNHZIkYXJyEuFw2FQeCoUQiUSqGqnWtMQNly9fxuHDh4vuVxSl7H4iIiIionYhuLrQ+6THxgoFm7PbVV9XLBZDNBpFNBqFKIpIp9MIh8OWQ+2Gh4ehKErB3KFq6ohEIojH4wiFQhBFEYqiFD22lKYFSQAwNDRU1QQq3dLSUtF04URERERE1DqKZY3OV2qUVqV1ANqaqvVq6jpJr7/+es3nf/Ob37SxNbtLH0qYO6TQ4dT6LwWHqhWo+Seh4Bxt23yAabdguis4qbDc+hqVKH9K/d9i2PlFCBEREVG7qyXZQrn6OkXT5iRVkvKvkecTERERERFZaVpP0vPPP9/U84mIiIiI2lqDFpPtBE2dk0RERERERMXVtZhsCyRu2Ktadp0kIiIiIqJO9/4v/WZ9gRLVhEESEREREVGLENyugrLVq4u11SXYf+sUDJKIiIiIiFpE74kjBWXq+kYTWtLZGCQREREREbUIwdWF47/76zZVxq6kWjFIIiIiIiJqIYKLudWaja8AEREREVE7cgjazc76OgSDpCYSct5oepeeqprffAW9moLpzjjA8i2rH1th12jxw2r/heigXlkiIiKiliLA5gzg9lXV8jjcjoiIiIiIKAd7koiIiIiI2hEXk60Ze5KIiIiIiIhysCeJiIiIiKgdCbB3IlHndCQxSCIiIiIiakeCIFScwKvS+joFh9sRERERERHlYE8SEREREVE7YuKGmrEniYiIiIiIKAd7koiIiIiI2pED9naJdFD3CoMkIiIiIqI2xMQNtWOQ1AT6+8v0PnNoG/lvvYK3onFu+Tdp8UOqe4N30O8DERERERGDJCIiIiKitsR1kmrWQSMLiYiIiIiIymNPEhERERFRC1M3Nms7kSnAa8aeJCIiIiKiFvb+L/1mTYGSHiPZeesUDJKIiIiIiFqI4HYVlK1eXWxCSzoXh9sREREREbWQ3hNHCsrU9Y3qK+Jwu5qxJ4mIiIiIqIUIri4c/91fb3YzOhp7koiIiIiIWozgsuFjukMw1uK0hZ11tTj2JBEREREREeVgT1ITCaZxnWqJfVbnFt1TwXXLHkJEREREexynJNWOQRIRERERUTtilFQzDrcjIiIiIiLKwZ4kIiIiIqI2xI6k2rEniYiIiIiIKAd7koiIiIiI2hG7kmrGIImIiIiIqB21SJAUj8ehKApEUUQ6nUYgEIDf79+1OoLBIGZmZqq6HoMkIiIiIiJqiFAoBJ/Ph8nJSaMsGAwCQMVBTj11RKNRpFKpapvNIImIiIiIqB0JAiDYmIGg2o6kVCqFZDKJWCxmKo9EIvD5fFheXm5oHbIsY3Z2trpGZzFxAxERERER2S4Wi1n29EiSBABIJpMNrSORSBg9TtVikERERERE1I70OUl23qqQTCYhiqLlPkmSKurlqbWOZDKJ0dHRSptagEFSUwjZW06JIOTdir03tf07dZhvNr+3iYiIiGivKv6RsfZbFWRZhsfjsdw3MDBQ0VyhWuuQZdnobaoF5yQREREREVHFVlZWTNtutxtut7vqejKZTN1tsaojHo9jYmKirnrZk0RERERE1IZyRyHZc9PqHRwcRH9/v3Gbnp4uuLaiKCXbJopi2WNqqaPeHiQde5KIiIiIiKhiN27cQF9fn7FdSy8SgKJzjeqpI5FImFKF14pBEhERERFRG9qZy25ffQDQ19dnCpJqUa6XqJY6EolE3cPsdAySiIiIiIjakQP2Tq6poi69h6dUMDQwMGBbHYqiIJPJ2NI7BTBIIiIiIiKiBvB6vVhaWrLcJ8syQqGQbXXE43Gk0+mCOufm5kzHhcPhiuYsMUgiIiIiImpDjRpuVym/3w9Zli33ybJsuUhsrXUUm4cUjUahKApisViFrdYwux0REREREdlubGwMyWSyoDyVSkEURXi93oJ9+UPraqnDDgySmqiyBV+tV/DiQrFEREREVFKpD5u13qrg9Xpx5swZxONxU3k4HMbMzEzB8T6fD4cOHTL1HFVbR750Ol3TekwcbkdERERERA0Ri8UQjUYRjUYhiiLS6TTC4bDlULvh4WEoilKQ0KGaOnSJRAKzs7O4ePEiFEVBMBjEwMBAxcPuGCQREREREbUhu0ca1VpXpesWlQpgql37aHR0FKOjo1XPRdIxSCIiIiIiakOCQ4DgsDFxg411tTrOSSIiIiIiIsrBniQiIiIionbUKuPt9iD2JBEREREREeVgT1JT5UbjqkWZxRmdE8ATERERUR3YkVQ7BklERERERO2IUVLNONyOiIiIiIgoB3uSiIiIiIjakc0pwMEU4ERERERERJ2JPUlNoA/nVFVTacljiYiIiIiqIcDmKUn2VdXyGCRVIBqNYmlpCalUCgAQDofh9/ub3CoiIiIiohKYuKFmDJLKCIfDmJqagiiKAIBkMolAIIBIJILJycnmNo6IiIiIiGzHOUklxONxhEIhI0ACAL/fj0gkgnA4bPQsERERERG1GiGbuMHOW6dgkFRCOp2GJEkF5RMTEwCACxcu7HaTiIiIiIiowRgklRCNRhEKhQrKRVGEKIrsSSIiIiKi1iU04NYhOCepBL/fbxpql0tRlKL77NBB8+KIiIiIqAEEQYBg44dKO+tqdQySSpidnbUsl2UZABAIBHazOUREREREtAsYJNUgFotBFEVjblK+9fV1rK+vG9srKyu71TQiIiLaA/I/K9y6fauJraG9Kv8zptvthtvtNrbZk1Q7zkmqUiqVQjwex6VLl4oeMz09jf7+fuM2ODi4iy0kIiKiVvfDl6L40oNfMG6nfE80u0m0Bw0ODpo+c05PTze7SW2DPUlVCgaDmJmZgdfrLXrM1NQUfu3Xfs3YXllZYaBEREREhuefm8T//Hf/nrH98ScfM1Ciqt24cQN9fX3Gdm4vEgCtO8TOLpEO6l5hkFSFYDCISCQCv99f8rj8rk4iIiKiXPmfFW7d4nA7ql5fX58pSMrH4Xa1Y5BUoXA4jLGxMYyOjtpWZwe9z4iIiIiI9owO6jSrXTweRyAQKAiQkslkk1pERERERFSGINh/6xAMkspIJpOQJMlyiB0XkyUiIiIiaj8cbldCKpVCLBbD2NgYEomEaZ8syw1dTJaIiIiIqB52d/50UEcSg6RSRkZGoChKQYCkK7bYLBERERER7V0MkkpYXl5udhOIiIiIiGoiOAQIDhuz29lYV6tjkERERERE1I443q5mTNxARERERESUgz1JRERERERtiB1JtWNPEhERERERUQ72JBERERERtSN2JdWMQRIRERERURsSBJuz23VQkMThdkRERERERDnYk0RERERE1IY42q527EkiIiIiIiLKwZ4kIiIiIqJ2JMDmrqTaTovH41AUBaIoIp1OIxAIwO/3N6yOaDSKpaUlpFIpAEA4HK76egySiIiIiIjakCAItiZbqKWuUCgEn8+HyclJoywYDAJAxYFLNXWEw2FMTU1BFEUAQDKZRCAQQCQSMZ1fDofbERERERGR7VKpFJLJJCYmJkzlkUjECHLsrCMejyMUChkBEqAFUZFIBOFw2OhZqgSDJCIiIiKiduRowK0KsVjMsrdIkiQAWi+PnXWk02mjPJceYF24cKGyhoNBEhERERERNUAymTT16uSSJAmzs7O21hGNRhEKhQqOE0URoihW1ZPEOUlERERERG2o2XOSZFmGx+Ox3DcwMFBR0FJNHX6/v2hApSd9qBSDJCIiIiKidiSg5ox0ResDsLKyYip2u91wu91VV5fJZOpuUm4dxXqmZFkGAAQCgYrr5XA7IiIiIiKq2ODgIPr7+43b9PR0wTGKopSsQxTFssfYUQegzWsSRbEg+UMp7EkiIiIiImpDQvafnfUBwI0bN9DX12eU19KLBKCq4W+11pFKpRCPx3Hp0qWq6mWQREREREREFevr6zMFSbWopAfIjjqCwSBmZmbg9XqrqptBEhERERFRO2rQnKRK6D08pQKZgYGBhtYRDAYRiUQqXrQ2F+ckERERERGR7bxeL5aWliz3ybJcUSKFWusIh8MYGxvD6Oho5Q3OwSCJiIiIiKgNCQ24VcPv9xuZ5fLJslxRD08tdcTjcQQCgYIAqZLFa3UMkoiIiIiI2pEg2H+rwtjYmGVgkkqlIIqi5Tyh/KF11daRTCYhSZJl8FTNYrIMkoiIiIiIyHZerxdnzpxBPB43lYfDYczMzBQc7/P5cOjQIVPPUTV1pFIpxGIxKIqCRCJhukWjUS4mS0RERETU6Wro/ClbX7VisRii0agRpKTTaYTDYcuenuHhYSiKUpCModI6RkZGjADJSrHFZq0wSCIiIiIiooaZnJys6LhYLFZXHcvLyxW3qRwOtyMiIiIiIsrBniQiIiIiojbUCsPt9ir2JBEREREREeVgTxIRERERUVuqZXWjcvV1BvYkERERERER5WBPEhERERFRG+KcpNqxJ4mIiIiIiCgHgyQiIiIiIqIcHG5HRERERNSOBAECx9vVhD1JREREREREOdiTRERERETUjpgBvGYMkoiIiIiI2hBjpNpxuB0REREREVEO9iQREREREbUjLpRUM/YkERERERER5WBPEhERERFRG+KcpNqxJ4mIiIiIiCgHe5KIiIiIiNoRu5JqxiCJiIiIiKgNCYIAwcZkC3bW1eo43I6IiIiIiCgHgyQiIiIiIqIcDJKIiIiIiIhycE4SEREREVEbEmDzWrL2VdXyGCQREREREbUlprerFYfbERERERER5WBPEhERERFRGxIEm4fbdU5HEnuSiIiIiIiIcrEniYiIiIioHXFKUs0YJBERERERtSHGSLXjcDsiIiIiIqIc7EkiIiIiImpHzNxQM/YkERERERER5WBPEhERERFRG+KcpNoxSCIiIiIiakeMkmrG4XZEREREREQ52JNERERERNSGBEGAYGOyBTvranUMkoiIiIiIqGHi8TgURYEoikin0wgEAvD7/Q2rw47rMUgiIiIiIqKGCIVC8Pl8mJycNMqCwSAAVBy4VFOHHdcDGCQREREREVEDpFIpJJNJxGIxU3kkEoHP58Py8rKtddhxPR0TNxARERERtSF9LVk7b9WIxWKWvTeSJAEAksmkrXXYcT0dgyQiIiIiorYkNOBWuWQyCVEULfdJkoTZ2Vlb67DjejoGSUREREREZDtZluHxeCz3DQwMIJVK2VqHHdfTcU4SEREREVGL6XnsEXz53/3AtF2tWobIlavPTplMZlfrqOZYBkm7YGtrCwDw+fKf497W3Sa3hoiIiFrN58t/DgBQFKW5DaHW8tiDxo93sAmsrAAAVrL3qqqWPH3l1oqtzdHr06+vc7vdcLvdprJy72VRFCHLcsljqqnDjuvlYpDUQC+//DJefvllrK2tAQAef/zxJreIiIiIWtmRI0ea3QTaQ27duoX+/v6C8u7ubtx///04/hXroWf1OHDgAAYHB01l3//+9/Ebv/EbVddVbP5Qo+qo5lgGSQ307LPP4tlnn8Xy8jIGBgZw48YN9PX1NbtZRERE1GJWVlYwODiIhYUFDAwM7Mq1+Lmk9RV7rVRVxa1bt/Dggw9anrdv3z4sLCzg3r17trdJVVUIeePu8nuRKmFHr2k1dVR7PQZJu8DpdAIA+vr6+MeIiIiIihoYGNi1zwr8XLJ3WL1WVj1Iufbt24d9+/Y1slkl6b02pYKTcl8IVFOHHdfLxex2RERERERkO6/Xi6WlJct9siwjEAjYWocd19MxSCIiIiIiItv5/f6iyRJkWbZc+LWeOuy4no5BUgO9/PLLeOyxx3D69OlmN4WIiIgIgDZ/5Pvf/35N80hod+3112psbAzJZLKgPJVKQRRFeL3egn35w+WqqaOW6xUjqOVyB1LdVlZW0N/fj5s3b3LsLxERERXgZwVqV6FQCD6fDxMTE0ZZIBBAOBwu6Nnx+XxIpVJIp9OQJKmmOqo5thQGSbuAf/iIiIioFH5WoHYWjUYBaMkV0uk0AoGAZcASCoWQTCYxPz9fkK670jqqPbYYBkm7gH/4iIiIqBR+ViBqLZyTRERERERElIPrJBERERG1EVmWEQwGce7cuZIT1ePxOBRFqWtIEjUOX5/mYpBERERE1AZCoRAymQwkSUIqlSp7rM/nw+TkpFEWDAYBgB/EWwBfn+bjnKQGevnll/Hyyy9ja2sL7733XkPGGW+v3cPan32Iuz/5COvXP8Xm5zex+fkKNpdWsJm5DXVzC1BVqNsqoKoQurvg7N0Hx343HPv3wdnfC9d9/ei6rw9dX+hH1339cN3Xh64v9qP7gQEILsbRREREjWbnnCRFUXDo0CHMz89b9iSlUikEg0Gk02lTuSzL8Pl8WF5eruv6VB++Pq2Bn4ArEI1GIUkSMpkM0uk0IpFIRec9++yzePbZZ40/fHZZ+8lPofzrP8HKH/wYq6kPoG5s2Va3iSDAdf8hdA/eh+7BL6D7ofvQPXgf3ENfglt6AN0P3wfByWltREREe0ksFrPsjdBTLieTSfZWNBFfn9bAIKkMPYXg6OgoAO2NGQwGMTMzs6vtULe2sfxv/is+/X//G6y9tbBLF1Wx8UkGG59kcOdP3yvYLXR3wX1UC5jcnvvhlu7HPukBuI89CNcDhyAIwu60k4iIiCqWTCaNzzX5JEnC7OwsP4Q3EV+f1sAgqYzp6WnMz88b236/H4FAwJhItxtu/eFVfPj8b2P9g49LH9jl1IbK3deHrvv60TVwAEK3C4JDAAQBEAB1fRNbd+5ie3Ud26t3sbl8G5ufr2Br+XbV7VLvbeLuex/h7nsfFexz9vVi31cexr5HH8a+rzyMnkcfxr4vPwzXgwMMnoiIiJpIlmV4PB7LfQMDA2XnM1Fj8fVpDW0ZJNmV1SWVSkFRFAwMDJjOE0URFy9eNK3k2wjba/fw0W/+c3wW+z3L/fu+/BAO/vxJHPjGV9Dz+BG4j34JQpezpmupG5vYXLqFjeycpo1PlnHvo89x78ZnuHfjc9z76ee499HnUO9uVFTf1soq7lx+D3cum3ugjODpKw9pwdNjj6DnxFG47uOaEERERK0gk8k0uwlUAl+f3dFWQZLdWV30N2F+j9HAwAAURbGv4Ra2bq0h/X97Ebf/5F1TuaPXjft+ZQSH/4e/gp6vPmLb9QRXF1z3H4Lr/kNFj1FVFZt/fhPr8ie4K/8M6+lPsC7/DHfTn2B94WdQ1+6VvU6x4Mn1pUPoefwR9Dx+BD0ntNs+zwNMHEFERGSjcp9fRFGELMu70xgqwNendbTVJ9BYLAZAe4Ppc4mspFIpJJNJ43hdJBIxZQ0p9UZdWlqqv8FFbK2s4oOx6YJ5QPf9bT8emBprWq+LIAhwfUmE60siDvzcV0371O1tbHyyjPX0J7j7/kdYe/enuPveT3H33Z9i8/OVsnVvfLqMjU+XsfLGWzvXc7uw7ysPoefxI+g9cUQLoB4/gq6Bg7Y/NiIiItLs1nQCqg1fn93RVkFSpSrNGtKMN6G6vQ35b//vpgDJeegAjsb+LvpHntz19lRKcDjQ/dBhdD90GAf/8gnTvo3PV3D3Jz/F3Xdv4O5PPsLaT7T7zc9ulqxTXd/A2tvXsfb2deR2LLseGEDPiSPoPTmk3Z6U4HroMOc6ERER1anRI2WoPnx9dk9HBkmVZg3R5yLlJ2nIZDJFJ9TV67Nz/wG3/tOPje2uwwdx7LX/J3pPHG3I9XaD674+uO57DAf/wmOm8o3PV7B29TrWri1i7dqHWLu2iLs/+WnZlOZ6xr2V2TeNMufAwZ2g6Ykh9JwcgvvoFyE4mKKciIhIp3+eKfVhO38uNu0evj6toyODpEqzhni9XoiiiEwmYwqSFEVpSOrFu+99hI/+139ubDt63Tj+u/8Leh6zb+5RK3Hd1wfXz59E38+fNMq2721qw/WuLmLtnQ+1+2uLZXudtjK3cOsP3satP3jbKHMc7DECp57s/b7jD3JtJyIi6mher7fotAFZlhEKhXa5RZSLr09r6MggqZzcrCETExNIJBJGggd9KJ4+NM8uqqpi8X9+xZQ97qH/9W+1bYBUjKO7C72PH0Hv40dM5RufKli7dh1r1z7E6tVFrP34Ou6+/xGwrRata/vWGm7/8Tu4/cfv7NTf69bmOJ0cQs8T2cDpKw/D0c1fBSIi6gx+v7/o5H9ZlrkGT5Px9WkNHffJsNqsIZFIBNFoFPF4HACQTqfLLiS7vr6O9fV1Y3tlpXzigtt/dM2U8a3vqSdw39/mL4FOSxjxJPqeetIo27pzV+ttemsBq29rt7U/uwFsFh+ut726XpBdT3C7tMDpSQn7T3nQe0rCvi8/zB4nIiJqS2NjYxgZGSkoT6VSEEWx5PIp1Hh8fVpDxwVJlchP2JCbJrwS09PT+MEPflDVOX8e+/c7G04HBv/3cSYiKMO5fx8OnP4yDpz+slG2vb6Bu392A6tvyVrg9NYC1t75EOp68fWd1PUNrKY+wGrqA3yeLXP0utFzcgj7n5TQe8qD3icluKX7OceJiIhaXrl1dLxeL86cOYN4PG5a8zEcDpf9Ipgaj69PaxBUVS0+XmmPUhQFhw4dwvz8fEG0re+LxWKWi8EGAgFkMhnMz8/XfH2rnqTBwUHcvHkTfX2F6bvvyj/DO1//+0D2pTj0N34OQ+f/fs3XJzN1YxNr731k7nH68XVsr66XPzmHs68XvU9kg6ZT2n33w/cxmCUiorqtrKygv7+/6GeFSoTDYSiKgmQyCVmWIUmSMTQrf9kTAMZyKaIoIp1OIxAIcChXC+Hr01wd15O0G1lD3G433G43Xn75Zbz88svY2iqdre2zc//BCJAA4Iuhv1bX9clMcO3Mczr8N38eAKBubWM9/YnW4/TWAu68mcba2wslA6etlVXc+qOruPVHV42yrvv60PukhN4nPeg95cH+J6WSC/ISERE1SiQSqer4akfK0O7i69NcHRckAbuXNeTZZ5/Fs88+a3w7ZGXr9l0s/X//o7Hd6z2G/TnDx6gxBKcD+778EPZ9+SEMBP8SAC1wuvveT7H6pow7b6axekXG2tXrUO9tFq1n8/MVrCSvYCV5xShzPTCQDZwk7Pd60PukhwvgEhEREe0htgVJ169fRzKZRDqdxvT0NADg5s2bmJ+fx1NPPWXXZWyxW1lDKulJuv3H17B9566x/cWJX7Dl2lQ9welAz1cfQc9XHzF6nLbvbeLun31oBE2rV2SsvfMhsLVdtJ6NTzK4+UkGN39vzijrPvLFnMQQWuDkPLCv0Q+JiIiIiGpgy5yks2fPIhqNQhRFCIJg6qV58803cenSJTz33HP1XqZipeYkAVp2kJGRESwvL1dUXq9S44x/+uv/DH/+j/+dtuF04IkPfhvOvl5br0/22l67h7Wr13cCpzfTuPv+x6Yhk2U5BOz7ysPY7z2GXq8H+73H0PPVQQiujuzcJSLqeHbMSSIi+9T9iezcuXOQZRnpdBpDQ0N49dVXTftPnToFSZJw/vx5PPPMM/VeriKtktWlkp6kW//5mvFz7xMSA6Q9wNHTjf2nv2waFrl1aw2rP17Aak7gtL7wafFKtlXc/bMbuPtnN4zhlsI+F3pPDmG/77gROHUf+SITQxARERHtsrp7ks6ePYsXX3zR2H7ttdfw7W9/u+C4V199FU8//XQ9lyqrVbO6FPt2aHP5Nt4+/ozRA/Glv/fX8dD/8jdtvz41x+bybS0xRDZwuvNmGhsfWc+FK8Y5cFCb1+Q9pvU6nfLAdR+/YSQiajfsSSJqLXX3JHk8HtN2sZhrYWGh3kuVtdeyutz+L39mGqJ18C893sTWkN26Dh1A38+fRN/PnzTKNj5VtGF6qQ9wJ/UBVlNpbN28U7SOrcytgsQQ3Ue/lBM4edD7tSE4et2NfChEREREHaXuIKnSoUDpdLreS+055Ybb5Q61E1xO7P/6V3aradQkri+JEH/BB/EXfAC0LxXW5Z/hzvwHRuC09uPSGfXuXf8U965/iuXX/otW4HSg57FHtIDJdxz7vR7s+/LDEJxc+JaIiIioFnUHScvLy6YhdlZB03e/+134fL56L7XnlEsBbpqP5D0G535mO+s0giBgn+cB7PM8gMNntFTk2/c2sXZtMRs0pXFn/n2sv/9x8Uq2trH24+tY+/F14J9eAgA49ru1tZuyc5v2e4/B9dBhzm8iIiIiqoAt2e2Gh4chCALGxsaQTqcRDAahKAouX76MeDwOv9+PCxcu2NHePclqnPHG5yv48VfGjWPuf+5pPDh1pllNpBa3tbKaM0wvjdX5D7DxaXVZGLu+2I/93p2kEL2nJHSJBxrUYiIiqgbnJLUuRVEwNzcHRVHg9/shimKzm0S7wJYgCdCSIJw9e1arVBCgqipEUUQkEsH4+HiZs9tT7nC79957z/SH72byTaTHdhJeHP9Xv46Df/lEs5pKe9C9jzNa0DSfnd/0Ztq05lYl3J4HdtKQ+46j52tH4ehmGnIiot1WT5AUjUZx+fJlJJNJKIoCr9cLSZIwNTVluRQKVUZRFIyPj+P06dNGNuR4PA6v12sk+lIUBcFgELIsQxRFzM/PN7PJZCPbgiTdwsKCkVluaGjIzqr3LKs/fJ/99u/jxuTvGMd87d04XF8oHJJHVCl1axt33//YlBRi9doisFk8BX0+we1C79eOotd3DPt9x7F/+Di6H/kCh+kRETWYHT1JPp8PqVSqaBItKx6PB36/3zILcKfz+XyYmprC6OioURYIBJDJZAqCIT1QYpDUPmz/ynhoaMgIjq5fvw4AOHr0qN2X2fPWb3xm/Cz0dKOLaZ2pToLTgZ5HH0bPow/j8N/8eQDawrerV6+bAqd1+WdF61DXN3Bn7n3cmXsfn+H3AABd9/VpQZP3GPYPH8d+7zGu50VE1IIGBgZqGgrG4WOF9F653AAJ0IIkK6dPn4Ysy7vRNNoldQdJZ8+excLCAgYGBhAMBvHUU0/hzTffhN/vx8DAAE6dOgVBEDp6TpKVe4t/bvzsHuQ39dQYjp5uHDj9ZRzIWfh2M3MLq1fSWlKI1AdYnf8Am5+vFK1j8/MVrPx+Ciu/n9IKBAH7jj+oBU7Dx7Vhel8dhNDlbPTDISIim3Vi9uFKzM7OQpKkgvJmLx9Du6fuIOn06dPweDymeUfBYBAjIyO4ePEiAODmzZt46aWX8Nxzz9V7uT2lVArwex/u9CR1P/KF3WwWdbiugYPoe+pJ9D31JAAtDfm9Dz/Dnfn3sTr/Ae7MvY/VH1+Hur5hXYGq4u57H+Huex8h8y/+EwDA0etG7xND6B0+jv3e49jvO4buhw7v0iMiIiKyH3vYOlvdQdLCwoIp+Hn11VexsLCAVCpllPX391umwG53pVKA37uRGyR9cbebRmQQBAHuI1+E+8gXMfDtvwAgm4b86nUtKcTc+1hNfVBymN726jpu/8m7uP0n7xplrvsPYf/wcWN+U++TEtPcExER0Z5Qd5CU/+Ff755k+sritm7fxebSLWPbzZ4kajGO7i5jfSWM/wIAbZjenVQ2aMpm1NtS7hStY+Nny1D+7Z9C+bd/mq1U0Ba99R3TFr31HcO+Lz8EwcFFb4mImiEQCBRkZZNl2UhCMDw8jNnZWcTjcQAwlneJRCKWQ9EALdOe3gOTTqfh8XiMzHDl5F97ZmbGuPbS0hIURUE4HDZdO/ecM2fOIBKJGOfMzs5idnbWdI1EImE8ZkVRAJiH0CUSCVy4cAGpVAqZTAbBYNDYp6cCB7R1QitVz3NCzVN3kHT4sHlITTKZtJzUNjAwUO+l2sa9G39u2uZwO9oLugYOot9/Cv3+UwC0YXrr6U+0RA/z2tymktn0tlWsXV3E2tXFnUVvD/Zg/ymPFjQNa4ETszwSEe2O2dlZhEIh44M/AEiShPn5eWPNy3g8jjNnzhgf8hOJBHw+n2WQYJUNLhgMIp1OIxKJlG2Pfm09g9zFixdNAUwqlYLP58O5c+eMa+SfE4/HMTk5iWQyiXA4bGRc1tsSCARMdcqyDJ/Ph5mZGUiShNHRUYyOjiIcDiOVSmFmZsbUxmg0iunp6QqeXXueE2qeuoOk3Al/b775phHR57py5QoTE+TInY8EAN2DDJJo7xEEAfuOPYh9xx7E4V/+7wBks+m9LWvD9LKBU+7Q0nzbt9Zw6w+v4tYfXjXKuh/5AvZnk0L0+o6j92tH4djX3fDHQ0TUiTwejylI0kmShHg8jkgkYpqb4/f7oSgKUqmUaQ2maDQKAAXZ4CKRCDweD0KhUNHep3xerxfxeLygt8Xr9WJqagrj4+MFi7p6vV4kEglMTU0Z7VxeXjaOicfjkGW5oE5JkhAKhRAKhQp6naxU+hgAe58T2n11j3MZHR3FmTNn8N3vfhcjIyMYHR3FU089BQB444038Ku/+qsYGRnpyDfByy+/jMceewynT582la/nB0mck0RtwtHTjQP/zaP40v/9v4f0238fJ678f/C1d2KQ/s/n8KW//0s4+JdOwFFmXtK9Dz/D8r/6E/z0e/8M7/3Cr+Oto38b745M4Ub4d7B08Y9wN/1JVWuAEBFR9Q4fPmwsTJtLDzoymYypPBwOY2xsrKAeSZIgiiKSyWRV1y/2uXFiYsLo4cqXyWRM7c0Nooq1DwDOnDmDZDJZdRvLsfs5od1Vd0/S0NAQzp07h2QyiYmJCZw6pQ3FWVhYQDqdhs/ng8/ngyzLePLJJ+u93J5SLHFD7jfrjv1udB0+2IzmEe0K15dEiH/tNMS/pn1ZoG5t4+57PzV6m+7MvY+7794Atq0DH3VjC6tXZKxekYHzvw8AcB46oPU26fObvMfQdejArj0mIqK9TFGUijK3VfoFt74+UDqdRiKRsDzGrlTjoihCFEVcvny5YF+x9sqybBnw5dYJaMP5/H6/Le3czeeEGsOWxWT7+/vx9NNPm8qGhoZMacFpR+4aSd1cI4k6jOB0oOerj6Dnq4/gvv9B63Xeun1XW7tpficxxManxSfFbi3fxkryClaSV4wyt+eBbOCkZdTrefwIHN22r5dNRLSnKYqCixcvVpQ4oNIU2HpAEAwGLYOM/OFm9ZIkyXLh1mLz3ytZ5LVY4FWr3X5OyH679glibGyMC8pmrTP9N5GJ88A+HPyLj+PgX3wcgJYUYuPjJSNoujP/AVbfkqGu3Stax3r6E6ynP0Hm4h8BAIR9LvSeHDKCpv3Dx9H98H38UoKIOlpuIgO76PXp2eIaTZblqnp8Kmmfoii2Pi+7/ZyQ/WwLkq5cuVIwPlWnT/AjTW7iBjeTNhAVEAQB3Q/dh+6H7sOh/+s3AADqxibW/uyGETTdmX8f6+9/XLQO9e4G7vzpe7jzp+8ZZV1fErFfz6Q3zLWbiKjzXLhwAaFQyNY69Tk2ly9fLtpDUukQv3IURYGiKAXzvcu1Dyjeo6SXV1NnJdfcreeEGsOWxWR9Pl/ZSJnf3mq2VlaxtXzb2O4+wiCJqBKCqwu9J4fQe3IIX/jONwEAmzfvYDX1QU42vfdNa5Dl2/xUwc1/fxk3/312SIXTkV27aSdwcnvu59pNRNSW9IQHegY4O0UiEYTDYcu01vqaQ9X0/hT7XDk9PQ1RFE1pvCttXywWszwvkUjA6/XaPgTO7ueEdlfdnwTC4TDOnTuH5eVlbG9vF72NjIzY0d49b/1GfvpvDrcjqlVX/370/ZUn8MBzT+PYvwjjaz85h8fn/hGOxv4uvjDxV9HrOwah1LykrW2s/fg6Pv8ns1j8n/4x3vnG/wNvH38GH5yZxifRGay8cQWbyu3i5xMRtZBiI3oALejQv9TO772wCkj0xVtL1ZdrYmICfr+/oJdKURQkk8magoH8hAepVArxeByXLl2ybE+pxz85OQmv14twOFxQZywWK1gPqdhjL/cc52rEc0K7p+6epNOnTxckbbBitcBsu3v55Zfx8ssvY2trZ3HN/DWS3FxIlsg2giDAPXQ/3EP3Y2D0LwIAttc3sPbj68YQvTtz75uSp+TbUu5g5dIVrFy6YpS5jz9o9DTtHz6OnkcHIXQ5G/1wiIgqEo1GMTs7a0xtCAQCpkBIlmVjn16uKArGx8eRTCahKAoCgQAikQgkSTKVB4NBjI2NYXR01LgOoH1JfuHCBVNwMTMzg3g8jlAoBI/HA0mSkMlkqu710dvp9/sRj8cxMDAAWZaRTqexsLBQ8NjC4bCpvZIkWfbe6O0Lh8M4fPgwAC0YnJ+fN+q0qi8UCsHv9yMYDCKVShnPVzAYxJkzZwqeL/14u58T2l2CWueCI+fPn8czzzxjV3takp4JZmZmpqKFxvLpKcBv3ryJe//6Mj78+zu5/b/2TgyuL4k2tpaIytn4c2UnKcTc+1h98wNs31mv+HzHfjd6T3l2hun5jvP3mIjqkvtZoa+vr9nNaSo9SJmfn292U6iD1d2TpKoqVlZWyv5Cv/baa/j2t79d7+V2XTKZNL69qCSFZDnbq+YPYuUW1iQi+7m+KEL8q8MQ/+owAG3tprV3b2A1GzTdmXsfd9/7qOj523fWcfs/v4Pb//kdo6x78AvYP3zMCJp6Tg7B4XY1/LEQERGR/eoOksbHx3H+/HkMDw+XXCz2woULezJI0rtLrVZ2rkX+t9WO3m5b6iWi2glOB3ofP4Lex4/gvv9R+503kkLkBE5byp2iddy78Rnu3fgMy//qT7Q6u7vQ87WjpmF6XBeNiIhob6g7SPrWt74FQOsa1XPMW00IrLUXRpZlBINBnDt3ruhKyYAWxOiTEdPpNAKBQEtOiNvK6UkSerqZRYuoRelJIfr+yhMAtF7z9fQnO0HT/PtYu/YhsLVteb56bxOr8x9gdf4DfBb7Pa3OL/bnpSD3wHmAvclERLm4thC1grqDpMuXL8Pv92N8fNyYBJfv888/x/nz56uqNxQKIZPJQJKksmsshUIh+Hw+0yS4YDAIAC0XKG2v3jV+dva6m9gSIqqGIAjYd+xB7Dv2IA7/8n8HANi6cxerb8mm3qbNT5WidWz++U3c/L053Py9Oa3AIWgpyLND9PYPH4f72AP88oSIOlKppAlEu63uIEmSJFy8eLHscQsLC1XVG4vFAGjfJkSj0aLHpVIpJJNJ43hdJBKBz+fD8vJyVddttNw5SY5efoNMtJc59+/Dwf/2MRz8bx8DoPU2bXy0ZAqaVt9egLq+YV3Btoq1q4tYu7qIz/9JUquzfz/2+46hVx+m5z2GrkMHdushERE1jSRJBam4iZql7iCp0jfzuXPn6r2UpVgsZvkNg766cm4e+kQigQsXLpStU0+B2QjmIIk9SUTtRBAEdD98H7ofvg+HfunnAGRTkF9d1NKPz7+PO3Mf4N71T4vWsXXzDlbeeAsrb7xllLmP5aUg/ypTkBMRETVS3UHS0NCQ8fMbb7yBVCqFy5cvQ5IkfP3rX8ff+Bt/AwDQ399f76UsJZPJoiskS5KE2dlZI0gaHR21fTXlauUmbmCQRNT+HG4X9vuOYb/vGIC/CgDY+OymkYJ8de593El9gO07d4vWsf7Bx1j/4GNk/uV/0urszUlB7tMy6rnuP7QbD4eIiKgj1B0kAcD169cxMTGBZFIbLiKKojHpzufzIZFI4MiRI3ZcqoAsy/B4PJb7BgYGys5n2m25c5Ic+xkkEXUi1xf6If6CD+Iv+ABoKcjv/uSnpmF6d3/y06Lnb6+u4/Yfv4Pbf5yTgvzh+3aG6A0fR+/XjsKxj9kziYiIamFLkDQ6OopQKISZmRlTj9HCwgJmZmbg9/sxPz/flMXRMpnMrl+zFM5JIqJ8gtOBnsceQc9jj+C+XxkBoKcgT2eH6GVTkC/fLlrHvZ9+jns//RzK72ZTkLuc6PnakDkF+SNMQU7U7mRZbtiUAapdKpUqmaWZWk/dQdJLL72EmZkZ07A73dDQECYnJ+H3+zE9PY3p6el6L2dSLkWkKIp1LwCrJ4a4cOGCkXXF4/FgYmKi6Dnr6+tYX98JhlZWVoyftzgniYgqoKUgP4m+v3ISQDYFufwzcwryq4vFU5BvbGE19QFWUx/gs3g2BfkX9BTkx3ZSkB/s2bXHRESNFQqFEIlEmt0MKiIajZoyMVNrqztIUlXVMkDK5fV6cenSpXovVZP8NZuq5fV64fV6q3pTT09P4wc/+IHlvtyeJKYAJ6JKCYKAfZ4HsM/zAA6P/WUA2t8TUwryy+9j49PiGT03P7uJm/9hDjf/Q04K8q8OGinIe4ePY9/xB5mCnGgPCoVCCIfDdX/uKUZft1KWZQwPD2N2drYh12lXXq8XsiwjkUg0fX48VabuIOnQocomCzdjiEezFiObmprCr/3arxnbKysrGBwcBJA3J4lBEhHVwdHrxoGf+yoO/NxXAWRTkH+cl4L8rTIpyK99iLVrH+Lzf6p9keXs60VvNhmEkYJ84OBuPSQiqkEikYDH42noMDtJkjA/P49AINCwazSbx+OB3+8vWFYGsGe43OjoKILBIPx+f8OCWbJP3UFSpYHI0tJSvZcqoL/BSrVhYGDA9uuW43a74Xa78fLLL+Pll1/G1taWsc+c3Y5zkojIPoIgoPuh+9D90H049NezKcjvbWLt6nVjiF7ZFOQrq7j1H9/Grf/4tlHm9jxgTkH+2CNMQU7UQqanpzE/P78r1/J6vS2XFMtOxYKXWCxmGTxVa2pqCuPj41wPag+wJQX4+fPn8cwzzxQ9ZmpqqmgGunp5vd6iAZgsywiFQg25biWeffZZPPvss1hZWUF/fz9UVTUnbmB2OyJqMEd3F/Z7j2G/NycF+ecrWM1JCHFnvkwK8vQnWE9/gsyFPwQACD3d2P+kpGXT82WTQjyw+19IEZHWi2S1XiRVL51OF91X7xx3nT7sTlEU9ia1uLqDpKeffhpnzpxBLBbDL//yL+PUqVMAtN4dWZYRi8Xg9XptT9qg8/v9Rd+4siw39Q9Hfk+SencDUFVjP4fbEVEzuO7rQ/+3fOj/Vk4K8vfyU5B/ZPp7lUtdu4fbf/Iubv/Juzt1PnTY1NvUe3KIKciJdoFdPRxUXCKRsLW+UCiEeDzOJA4tzpYU4BcvXkQ8HsfZs2ehKAoEQYCa/c81Eong+eeft+MylsbGxjAyMlJQnkqlIIpiU9Mt5vckba+Zv6llkERErUBwOtDz1UfQ89VHcN/f0v6ebq2s4k7qA6On6c7c+9jK3Cpax8ZHS1A+WoLyr/+rVqeegvx0TgryQaYgJ7KToiiYm5tjyu8GkmUZ4+PjGB4etq1Ov9+PQCDAIKnF2RIkAcDExAQmJiYgyzIWFhYgSVLZrHeVKLfOkdfrxZkzZxCPx01pucPhcNPHe+b3JG2t3jPt55wkImpVzr5e9P38SfT9fE4K8oVPtWQQelKIa4vA5pbl+aYU5LFsCvIvidrwPD1wetLDL4uI6pBMJst+eFcUBfF43BjaNT8/j1AoZPoSOTdz3ZkzZxCJRBCPxwEAs7OzlpnsFEXBxYsXje35+XmEw2FbAzZFUTAyMmIMTcuddxWNRhGLxZDJZIw1OfMfi56FT38siqLg8uXLiEQiBe0MBAKQZdl0nXg8jtnZWQwMDGBubg7BYNA4PrcOPWudJEnIZDJQFAWSJBnXyidJEofc7QGCqhYZT9Fk4XAYiqIgmUwaC6PpvwBW3crRaBSANuEunU4jEAi0zBhdvSfpZ5ffwUff+g2jXPqn/wDif//15jWMiKgO26vrWH17IScF+XvY+FnxFOQFnA70nDiSDZy+jP3Dx+Ee+hJ7m6gj6Z8Vbt68ib6+vorOiUajWFpaKrk2UjgcNu1XFAVDQ0OmwEIXCAQgiiJOnz6NyclJJJNJBAIBpNNpIyAIh8NIJBIIh8MFa0b6fD5EIhHbP3/pQU9+cgpZluHxeDA7O1twzWAwCEVREAwGcebMGSMYSSQSGB8fx/Jy4d+qUCiEubm5guuEQiHIslw0WLRKxKAHWMW+sG/Uc0X2sa0naWVlBfF4HJcvXzaCmq9//ev4B//gH9RUX7WLoe2FLsvc9N8AEzcQ0d7m6HXjwDcexYFvPGqU3ftoCXfm3jPWbVp9S4Z6b9O6gq1trL21gLW3FvD577wOAOg6fNBICHHg9JfRe4oL3hIVk06n4fP5iu5PpVJIJBIIhUJGkCOKIiYmJhAOhwuCAa/Xi0QigampKQDasLDl5WXL3o78AAnQPrsFg0HLAKQep0+ftpx/XqrXSpIkxONxRCIRU/v9fj8URbFM6e3xeDA3N1dV25LJpGUm5YmJiZIZB/XeJGpdtgRJr732Gp555hmj21CSJCN6/q3f+i288cYbeOKJJ+y41J6SP9xuey1/uB2DJCJqL90PHUb3Qz+3k4J8fQNrVxdNgdO9G58VPX9z6RZWfj+Fld/Pphh2CNj36CAOnD5u9Di5jz3ABW+JUH5KgiiKyGQyxpfXOo/HYwxBs6ozN3iwCpCKDRHTA5BoNNr0L68PHz4MRVEKAiG97eWeu0pJkoSLFy8WDGEEYBqeZ6VZ63lSZeoOkhYWFvDMM89gamoKExMT6O/vN/bdvHkTv/Vbv4WnnnoK169fx8GDnbUgYUHihpz03wDnJBFR+3O4XdjvO4b9vmNAdkWGjZ8ta8kgLr+nrd30Zhpq3pdIhm0Vd9/5EHffyVnwtn+/Vmd2blOv7zi6+vfv0iMiah2KopRcD1KSJFOvjj4PplwPRz30uTitYDcSWni9Xvj9fvh8PmNqSCAQwOjoaMmhdAMDAw1ZQ5TsU3eQFI1GcenSJSP1d67+/n5EIhGMjY1hcnISP/rRj+q93J7GniQiIsB1/yGIv3ga4i+eBgCoG5tYe+dDo6fpzvz7WJd/VvT8rZt3sPLGW1h54y2jbN+XH9KSQWTnNu37ysMQnOxtIlIUBdPT01AUBT6fz/hAn5t0IVepoKsSoii2zDCy3UqKMDMzg2QyadzH43FIkoSZmZmSWZYPHz68K+2j2tQdJPX391sGSLm8Xm9HpqcsWCfpDlOAExHlE1xd6H1CQu8TEr7wd74FIG/B28vv406q9IK3d9/7CHff+whL//wPAACOAz3Y7/XsBE6+Y+g6XNlkeKK9pNSwMVmWjQQBuXOI6g2ESrEa4taOEokERkdHTcnF9J4jPZnDyMhI0flZmUwGgUBgN5tMVao7SLrvvvsqOs7j8dR7qT0nf7jd1pp5uJ1zP4fbERFZsVrwdu3dG0b68duX38P6+x8XPX/79hpu/eFV3PrDq0aZ2/OANkwvGzj1PPYIhC5nwx8LUaNIklRyXkswGIQkSQVJFvIDq2QyaVuWNVmWEQqFbKmrnN2c05P/nOm9Zclk0pSBGdB6sGZmZuDxeArmg+mY/rv11R0kVZpB3Grc5RtvvIGnnnqq3ibsGRxuR0RUG8HpQO/jR9D7+BHc9z9qH0Y2ldvGQrd68LS1slq0jvX0J1hPf4LMxT8CoP0N7j3l0RJCZBe8dX1J3I2HQ2QLn89nmZZal0qlLBMozM/PmwKMaofHFQtOEokERFG0PWmDKIqW10wmk7ZepxiPx1PyWlbp1AGU7FErFjxR66h7wPbExATOnz9f8pjXXnsNY2NjBeVW6x21s9zEDUJ3F7/BJCKqQ5d4AP0jT+LBcBDHZv4hTqZ/G1/9L/8bHvk/fhWHf2UE+x57BCix5tL26jpu//E7+PT/+NeQf+Ul/PixEK6e+p+wMP6P8Oex38Od+Q+wXSx9OVELGB4eLhng+P3+gg/3siwbw7z0VNj6grSKolSU9W10dBSJRMJUps99unTpUsHxwWCwrhFFZ86cMZJO5F5Pb6vVc7C0tFSyp6nYPqtyv99vun5++vCLFy8ilUpZ1lMsEMpkMgySWlzdi8l+61vfskwvqdPfJFZdiqlUypiv045y5yS99957eOf5V7D2228AAJzifjyR/p0mt5CIqL1trazizpvpbCY9rddpK3Or4vMFtwu9TwzlzG06ju6HONma7FfLYrIAcOjQoZLrEoVCIdP8F31oWDQaxezsLILBIPx+P8LhMJLJJBRFwejoKCRJslyzMh6P48yZMwBgSv4wPz9fsCaRrthisNVIJpOIxWI4ffq0cY2JiQkIggBRFOH3+zEzM2PMB8p9LGNjYxgdHTUesz5Ezuv1Wp7j9/sRiURMgVAikcDs7KyxLpU+hDGRSJjWPNIDN0VRivao6Y+l2EKz1BrqDpIGBgYwPDxc9SS95eVlJBKJjkh/qP/hu/rsP8L6v/hjAIDrwcP42o//cZNbRkTUWVRVxbr8s2xCCC0F+dq1D4Gt7YrrcD14GPuHd+Y29Z4cgmNfdwNbTZ2g1iApHA7j9OnTGB0dbWDryE6hUMgITql11T0nSZIkvP766zWda/eKzK0ud7gd5yMREe0+QRCwz/MA9nkewOGxvwwA2LpzF6tX5J3Aae59bH52s2gdGx8vQfk3S1D+zf9Pq9PlRM/Xhox5TftPH0f34BcglBjqR2SXUCiEUCjEIGkP0XuSqLXVHSTV01Vo1Y3bzrZyg6T9DJKIiFqBc/8+HPwLj+HgX3gMgNbbdO/GZ1rq8WzgtPrj68Cm9fBwdWMLq6kPsJr6AJ/Ffw8A0PXFfuwf/rIROPU+KTGjKTWEJEnGcC/OcWl98Xi84z7/7lV1D7cr5fr16wCAo0ePNuoSe4LehZ76678O9Y9+AgA48HOP4sv/9gdNbhkREVVie+0eVn+8YPQ03bn8PjY+KT/B3eB0oOfxR0yBk1u6n71NZKh1uB2wsy4P57i0Nr5Oe0vdPUlnz57FwsICBgYGEAwG8dRTT+HNN9+E3+/HwMAATp06BUEQcOHCBTvau6fkLya7vXoP+n+Hjl5+o0hEtFc4erpx4OtfwYGvf8Uou/fREu7M7wzRW31rAer6hnUFW9tYe/s61t6+js9/Rxui7hw4uDNEb/g49p/ywNnXuxsPh9qMKIoIhUKIx+MFayJR6wiHwzh37lyzm0EVqrsn6dVXX0Umk8H4+LhRduzYMXi9XiPryc2bN3Hu3Dk899xz9bV2j9K/HfrTv/j34HznEwCA+H/5byD9k19rcsuIiMgu2/c2sfbj61pPUzZ4uvfhZ5VXIAjY99VB7B8+jgPDx9E7fBz7jj8IwVH3ah20B9TTk6TT030zIUDricfj8Pv9HBK5h9Tdk7SwsGAKfl599VUsLCyY8sX39/ejv7+/3kvtedur69BXRmLiBiKi9uLo7sJ+3zHs9x0D8FcBABufKlrQlA2cVt9Mm5L4mKgq7r7zIe6+8yGW/pm21oyzfz/2+46hd/g4Dpw+jl7vMXSJB3bpEdFew+CodbGHb++pO0jKD35mZ2chSVLN34K0s+3Ve8bPDJKIiNqf60sixF88DfEXTwMA1M0trL3z4c7cpvkPsJ7+pOj5WzfvYOWNt7DyxltGmfv4gzhw+stGCvJ9X3kYgpO9TUREdqo7SDp82LyoXjKZNBYsyzUwMFDvpfa87bXc7Hack0RE1GmELid6Tw6h9+QQvvB3vgUA2Fxa0Ra6zQmctu/cLVrH+vsfY/39j7H0z/8AgPb/yX7vMew/vTO/qeswv6gkIqpH3UFSOp02fn7zzTchyzKCwaDpmCtXrjCDD/R1krRv+9iTREREANB1uA/93/Si/5vaouzq1jbu/uSnpnWb7r73UdHzt+/cxa0/uopbf3TVKHNL92O/77gROPU89ggEV93/5RMRdYy6/2KOjo7izJkzOHz4MC5cuIDR0VE89dRTAIBLly5hZmYGMzMzuHTpUt2N3evUzS1A0IIkJ4MkIiKyIDgd6HnsEfQ89gju+5URAMDmzf9/e/cX29Z55nn8R9mW/C/WEZWm6aSJo8M40+lk04aUg6K7292ByGB2dzDAFKSN3Yu9GNQiurnaoNCJrorcRD1ELzdFSWUwN4vdscUOFuhg2g3pi0FRDAKJdJt2Mjt2eOQm/ZM0EXWkxHZkW+Ze0KRJkZRIiRT/6PsBjEbn8By+lJ5KfPi87/Pe0M3MtXL78RuZd7S5dqPhPTac97XhvK/8wk+K9zw2rBPP+e4nTsWpekc+a+zHywGAvtSWfZLW1taUTqdlmqaee+45ScWGDqUuK1JxWt7Xv/71vT5VX6lsAX716lX9w9hf6KTniCTp8dhflqdaAADQisK9e9p453fFSlPmmj5ZvKZP//k9qYU/6cOPf6Ziit7TOvavntTQMNWmbmlHdzsA7dO2zWSvX7+udDotx3H06quvSiomT5lMplxZOqhKv/gqk6TT/+O/afw//7sujwwAMCg2P76lm1dy+uR+4nRj8Zo28x83fb1n5IiOPztRlTgNPza+84VoC5IkoLe0JUl6+eWXFYvFZBiGPB6PVlZWyueuXLmiy5cv9/UeSZZlSZIcx5HX65Vt2zIMo+nr6yVJE3/93zX251/pxHABAFChUNDG8gcP1jZlrunWL38lbd5r+h5HPue930WvmDgd/5KpoaPDHRz1wUWSBPSWPdfV5+fn5TiOcrmcJiYm9IMf/KDq/HPPPSfTNPX666/rG9/4xl6fbt9Fo9GqpCgSiWhqakqZTGZP96VxAwCgkzwej46aj+qo+ajGz/1bSdLmjU918+fOg7VNS1d19/drDe9x53d5uT98U+4P3yze88ghHXvmyXL78ROTZzT8xGdozgRg4LSlu92lS5fKX9f7RTk6OqqxsbG9PtW+c123PIXQ7y92HZqdnVUgEFA2my0f2w2SJADAfjt04qge+uoX9dBXvyipWG26/d6HDza8XbymW79YVuHOZt3rC3c2dfNKTjev5PTh/I8lSYcfGS02hLifOB3/sqlDbHMBoM/tOUny+XxVXzeavbe8vLyr+5dais/Pz2+blCQSCbmuK8MwlMvlFAqF2rLzdD6fr0qSShWlymO7ceg4f0AAAN3l8Xg08sQjGnniEXm//q8lSfc+va2bby1XJU53frvS8B53f7+mtR8tae1HS8UDh4Z07I+fqEqcRsxHqTYB6Ct7TpKa/aVXuZ9SM6LRqPL5vEzTVDab3fGxgUBAMzMz5WOlvZr2kigZhqHV1dWqY6Wx7DUBo5IEAOhFQ0eHdfL5P9TJ5/+wfOz2b1aKzSDuJ043f+aosHGn/g027+nWW9d1663r+uivU5KkQ96HiglT4Kni//qf0qFTx/fj5QDAruw5SVpdXdXf/u3fltt710uavvnNbyoQCLR033g8Lqk45S0WizV8XDabVTqdLj++xLZtBQKBmiRnryzLarlxQz1DJ0iSAAD9YfixcQ0/Nl5uOHTv9l3d+uX1+3s2FROn27/6fcPrN/Mfa/2NrNbfuP+hp8ejo1/4fHld04nAGR19+g/kGRraj5cDADtqS3e7yclJeTwenT9/XrlcTpFIRK7ranFxUYlEQsFgUBcvXtzVvV3X1djYmDKZTN3pbdFoVJJqkiRJGhsb08LCQrnqk0wmmxqHbdsyTbPmeKnLnW3bLb2Get3tnn3nr3R47GRL9wEAoFfd+cAttx6/kbmmm1dyundzo+nrD506ruOBpyoSp6d02Dg4fyfpbgf0lrbtkxSLxfTyyy8Xb+rxqFAoyDAM2batCxcu7Pq+OyVJPp9P4XC4buISCAQUDAZbTmrqKa15qpzS16x6SdKXf/s/NTRyZM/jAgCgFxXuburW2+9WtCB/Rxu537V0j5Ezf6ATk2d08uzTOj55Rse+8Lg8hwaz2kSSBPSWtm2tPTMzo5mZGS0vL8txHJmmqYmJiXbdviHHcWqaR5R4vd4d1zM1I51Oy+v1anp6WlIxcVtaWtrTuiQPu5oDAAaY5/AhHX92QsefndBn/vIFSdLdlXXdyLzzIHHK5nTvk1sN77Fx7bfauPZb5f/3P0iShk4c1Qn/Uzo+eUYnz57R8cAZHXmYhAJA+7X9nfrExERVcnT58mVduXJF4XBYTz75ZLufbkf5fH5P12ezWS0sLCgSiSidTkuSUqlUeZpfPRsbG9rYeDDFYH19veYxdPkBABw0h8dPafQFv0ZfKM4MKWze06dXf31/z6Zi4vTp1d80vP7ejU/18U9+qY9/8kt9cP/YiPlosZPe/Q1vj/3xaXkOH9qHVwNgkHW8nDE1NaWpqamObCbruu625w3DkOM4e7r/1NSUXNdVIpGoOrfdFL65uTm98soru35eAAAOAs+hIR37oyd07I+e0MP/dUqSdHfthm5m3ylWmpaKVafNtRsN77HhvK8N533lF34iqdg99vhzvqrE6cgjxn68HAADZN/mfO2U0HTKXrrQ1WsB3ozZ2Vm99NJL5a/X19f1+OOP73ocAAAcFIdHT+jUn3xJp/7kS5Kkwr172njnd/fbj1/VJ4vX9On/e0+6V39J9b2bG/rkp2/rk5++XT42fPqRYjOI+/+OPfOkhpj2DmAbLf+GeP3112XbthzHUSgUUjwe1+nTp2set76+Lsdx5DiOUqmUHMfRt771rbYMulndSsxGRkY0MjKi1157Ta+99po2N7fsXM5UOwAAmuIZGtLRpx/T0acf0/h/+feSpM2Pb+nmlZw+Wbxa7qi3mf+44T1u/+r3uv2r32v1Bz8t3vPoER3/kvmgk97kGQ1/zrsfLwdAn2gpSfrud79b7u5mGIbeeOMN+f1+LS8v69SpU1pfX5dlWbp06VJNgpJKpdo26JJSlWi7ZMjr7d4vvRdffFEvvvhiuWMNAADYu0MPHdNDX3tGD33tGUlSoVDQxvIHxSl69xOnW//0rrR5r+71hU/v6Mab/6Ibb/5L+djw5x8uN4Q4ETijY89O0IUWOMCaTpLW1tb06quvKpVKaWqqOG/YdV1ZlqWXX35Z3/ve9+T3+5XP5zU5OSmpmMSYpqloNNqxTnd+v18rKyt1zzmOs22DhU5rWEkCAABt4/F4dNR8VEfNRzV+/muSpM0bn+rmz5z7a5uKjSHufrjW8B63f/2Rbv/6I7n/5x+L9xw+rOPPTjyoNp09o+HHHt6X1wOg+5reJ2l2dlbBYLCcIFU6d+6cnn/+eX300Uf6zne+09YB7rRPkmVZchxHCwsLNec8Hk/D6/ZTzT5JQx75P/ybro4JAICDpFAo6Pa7Hz5Imhav6uYvfyXdbf6DzCOf85YTphOTZ3T8S6aGjg63ZXzskwT0lqYrSY7j1E2QJGl6elqzs7NaXFxs28Cadf78+brjymazMgyjqwkSlSQAAHqDx+PRyOlHNHL6EXnD/0ZSscnDzbeWKxKna7rzQeOGTXd+l5f7wzfl/vDN4j2PHNKxZ56srjY9/hm2+QAGQFtau5w9e7ZhArVXO+1z5Pf7de7cOSUSifJmr1KxwlSvurSfWJMEAEDvGjo+opNf+YJOfuULkorVpju/WdEni1d1c+maPlm8qltvLatwp/6HnYU7m7p5JaebV3L6MPEjSdLhzxrF9uOlitOXfRo6PrJvrwlAe7QlSRodHZXP52vHrcosy5LruuUNXCORiILBoCQpHo9XPTYejysWiykWi8kwDOVyOVmWVX58z+ETJgAAeo7H49Hw5x+W9/MPy/sXX5Uk3fv0tm7+4np1tem39ddCS9LdD1yt/f2i1v7+/uyaQ0M69sxpnZx8utwYYvjJz1JtAnrcvm0SMDs7q7m5uaYfv91mrfWUuu71EqbbAQDQ34aODuvk2ad18uzT5WO3f7NSbD1eWtv082UVNu7Uv8HmPd36+bJu/XxZ+qv/K0k6/PCpYqXp/oa3x597aj9eCoAWNJ0k7bTn0HafiFy/fr1rexZ1E9PtAAAYPMOPjWv4sXGN/flXJEn3bt/VrV9cL294e2Pxmm6/92HD6+9+tK61H2e09uNM8cCQR5tPf3Y/hg6gSU0nSalUSuPj4w33Hcrn8w2rP47jVK0XAgAAGBRDw4d1IvCUTgSekqL/QZJ05/3VcuvxG0tXdeNnjgq3bte/wb2Cbv3ze/s4YgA7aWm63cTERMMkabt9kJrsMj5wGk63Yx4yAAAD7cijYzL+7HkZf/a8JKlw565u/dO7unG/IcTNzDVtLH/Q5VECaKTpfZJeeOEFvfHGG7t6krW1NVmWpe9///u7ur7f1eyTdPiQ/B/8r24PCwAAdNGdD9d0I/OObixe1Qf/+JYCP/oO+yQBPaLpSlIoFNr1k4yOjioQCOz6egAAgEFz5DOjMv40IONPA3po/T9Jo9/p9pAA3Nd0JQm7t7WS5DlySM+9TyUJAAAUld4rUEkCesNQtwcwyF577TV98Ytf1NmzZ7s9FAAAAABNIknqoBdffFFvv/22FhcXuz0UAAAAAE0iSeoGutsBAAAAPYskCQAAAAAqkCQBAAAAQAWSpA5q2LiB6XYAAABAzyJJ6iAaNwAAAAD9hyQJAAAAACqQJHUDs+0AAACAnkWSBAAAAAAVSJIAAAAAoAJJEgAAAABUIEnqIFqAAwAAAP2HJKmDaAEOAAAA9J/D3R5Ar3NdV4lEQoZhKJfLyXEc2bYt0zS7PTQAAAAAHUAlaQcXLlyQYRianp6Wbdvyer0KhUJ7uqeH6XYAAABAzyJJakImkyn/t8/nk+M4XRwNAAAAgE7q+el2juMoEolofn5efr+/4eMSiYRc1y1PiwuFQgoGg3t+/oWFhaqvU6mUwuHwnu8LAAAAoDf1bJIUjUaVz+dlmqay2eyOjw0EApqZmSkfi0QiktSWRKkkkUjINE3F4/G93YjZdgAAAEDP6tkkqZSIuK6rWCzW8HHZbFbpdLomcbFtW4FAQKurq20ZT6lSJRWrWzRuAAAAAAZTzyZJzYrH43WrRaUkJp1Ol88nk0ldvHhxx3vW6143PT0tSYrFYvL5fMrlciRKAAAAwADq+yQpnU43XCNkmqZSqVQ5SQqHwy2tJ3JdV4FAoCoRq0y4Kqf3tYb5dgAAAECv6vvudo7jyOfz1T3n9Xp3XM+0073z+XzNMUnbNpEAAAAA0L/6vpK0k61JTiv8fr/OnTtXNZ3v4sWLCgaD2zaE2NjY0MbGRvnrtbU1SdKNwh1J0tC9Ia2vr+96XAAAYLCU3hcUCoUujwSA1OdJUqmRQiOGYex5TyPbtmVZlsbHx7WysiKv11vTFnyrubk5vfLKKzXH/6P7d8X/WJU0+jd7GhcAABg8KysrGh0d7fYwgAOvr5OkZhiGsefrbdtu6ZrZ2Vm99NJL5a9d19Xp06f17rvv8ovvgFtfX9fjjz+u9957T6dOner2cNBFxAIk4gAPrK2t6YknnpDX6+32UABowJOknSpNnTIyMqKRkZGa46Ojo/wRhCTp1KlTxAIkEQsoIg5QMjTU98vFgYHQ1/9PLFWJtkuG+EQGAAAAQCv6OkmSis0VVlZW6p5zHEehUGifRwQAAACgn/V9khQMBhs2Z3AcZ9sudPtlZGRE3/72t+tOwcPBQiyghFiARBzgAWIB6C2eQo/3mnRdV2NjY8pkMnX3Jspms5qamtLq6mpTxwEAAABgOz1fSdppn6PSXkaJRKLquGVZO7bqBgAAAICteraSZFmWXNdVOp2W4zgyTbM8dS4ej9c8PhaLSSo2c8jlcgqFQj0x1Q4AAABAf+nZJAkAAAAAumGg90nqBYlEQq7rUuEaQI7jKBKJaH5+vu56uZJWYoB46U+xWEwrKyvKZrOSipXwdvyMiYf+4rqu5ubmyl87jqOzZ89qZmam7uOJhYMlEok0XAZALAC9hySpg6LRqAKBQNUfyEgkIkn8Qutj0WhU+XxepmmW3xRv99hmY4B46U+WZWl2dra8b1s6nVYoFJJt2zVvjomHwVVKkGzbrjoeCASUSqWUSqWqjhMLB0ssFmv494JYAHpUAR2RyWQKpmnWHM/lcgXDMLowIrTb6upqQVIhk8nUPd9KDBAv/SkejxdyuVzNcdu2a2KDeBhstm0XgsFgzfF4PE4sHHC5XK4QDAbr/hyJBaB39Xx3u34Vj8frfqpjmqak4qfNGGytxADx0p9yuVz5Z1RpenpaknTx4sXyMeJhsBmGoaWlJbmuW3Xc6/VKqu7USiwcLMlkslzt2YpYAHoXSVKHpNPp8vSbrUzTrJl6gcHTSgwQL/0pFospGo3WHDcMQ4ZhVE2vIR4G2/T0tFZXV2t+bouLi5Kqp0IRCwdHOp1WOBze9jyxAPQmkqQOcRxHPp+v7jmv17vjWhb0v1ZigHjpT8FgsOGbltLC6hLi4WBKJBI121YQCwdHaQuT7c4TC0BvonFDl+y0SS4GXysxQLz0pkaf3DqOI0kKhUJN34t4GCyO48iyLNm2XZ5+2SxiYTAkEomWf/ZbEQtA91BJ6oCtc9K3Mgxjx8egv7USA8TL4InH4zIMo/wGiXg4OBzHUSwWUzwe19mzZ2uqCMTCwbBTBUkiFoBeRyWpSxpN0cHB0UoMEC/9I5vNKpFI6PLlyy1dRzwMBtM0q9ozh0IhLSws1Ey52w6x0P+SyWTD/bFaQSwA3UMlqQv4tAetxADx0l9KG0Zut8HwVsTD4LJtW4lEQslksqnHEwv9L5lM7nmanUQsAN1GktQBpU9ztvulVWoLi8HUSgwQL4MjEonItu2aNr3Ew8FVSpZLlSRiYbC5rqt8Pt9UVYdYAHobSVKH+P1+rays1D3nOE5LC7rRn1qJAeKl/1mWpfPnzzds90s8DDafz6dYLFb3nGmaWlpaKn9NLAyuRCKhTCajaDRa9S8ej8txnPLXpeYuxALQu1iT1CHBYLD8S3Arx3HqbgiHwdJKDBAv/S2RSCgUCtX8nNLpdPkY8TC4HMdp+PMqnd/tz5dY6C+N1iHFYjG5rluzNo1YAHpYAR2RyWQKhmE0fRz9Z3V1tSCpkMlk6p5vJQaIl/6VSqUKqVSq7jnbtsv/TTwMtunp6brHM5lMQVIhHo9XHSMWDhbbtgumadYcJxaA3sV0uw7x+/06d+6cEolE1XHLsrSwsNClUaGddtqTopUYIF76UzabVTwel+u6SiaTVf9isVjVugTiYbBFo1FZllVz/MKFCwqHw1UL+YmFgyeXy9X9m0EsAL3LUygUCt0exCArzVE3DEO5XK7ulBz0F8uy5Lqu0ul0eS+M0s+0XpvfVmKAeOkvY2Nj2y6kTqVSNT8/4mFwua6rubm58teldSKNOp0RC4MvmUwqlUrp0qVLcl1X4XBYXq+35m8FsQD0HpIkAAAAAKjAdDsAAAAAqECSBAAAAAAVSJIAAAAAoAJJEgAAAABUIEkCAAAAgAokSQAAAABQgSQJAAAAACqQJAEAAABABZIkAOgBjuN0ewgNpdPplq/JZrMdGAkAAPuDJAkAuiwajcrr9XZ7GHUlk0nF4/FdXRuLxdo8GgAA9oenUCgUuj0IAAebz+dTPp+X1+uVaZoyDEPSgwqGaZoyTVOS5LqulpaWJEm2bWt6erorY26XaDQqy7LKr08qJhepVKr8+oPBYPl7UmKapmZnZ2uOt1soFJJlWQoGgy1fm0wmJUnhcLjdwwIAoKNIkgB0ncfjUTwer0l4LMtSLBZTLperSiJc11UkEpHf75dt2+XjPp9PwWBw15WP/ZZMJuU4jmZmZuqeDwQCchxHq6urNefS6bQikYhmZ2cbXr9XrutqYmKi7vM3KxKJaH5+vuPJHAAA7cR0OwBd5bquwuHwthWhrVPRDMNQPB6X67o1j+2nN+Nzc3PbJjher7fhNLxgMKiFhQVZlqVEItGR8V26dGnPlbrZ2VlduHChTSMCAGB/kCQB6Kp8Pq/z58+3fF3ltLySXC5XVVnqZclkcldT2CqVru/Ua47H47v62VTy+/1yHKduQgsAQK8iSQLQVa7rVk2la8X4+HibR7N/4vG4otHonu9jGEZHOuOVEhu/37/ne0Wj0Y5VuwAA6ASSJABdZRjGrpOkdryB74ZS84ndvu7K+7iuu+eKVD3tSuIk9dU6MQAAJOlwtwcA4GDbS6JQmRyEQiE5jiPDMJTJZCQVqyGRSESO42hyclKpVKpc0cjlcspms7JtW36/X9lsttw1L5PJyOfzNVwvFIvFylP9crmcfD5fS2t30um0Jicnd/OSq1iWVV6f1W7JZLL8fWx0fnFxUePj41pZWdn2e2CaZrky1U9rxgAABxdJEoCBkEqlFI1Gy4mOVHxznslkFIlE5LquEomEzp07V36jnkwmNTU1pcuXLyufz1e9yff5fDIMo+aNfyAQ0OzsbFVb60gk0tJ6KMdxdl0FK1Wh4vG4vF6vlpeX2554ZLPZumu+SizLkuM4WlhYqBqXZVkNvwd+v19LS0sdqXoBANBuTLcDMDB8Pl/d46ZpamlpSZOTk1Vv/IPBoFzXVTwer3nzXuoeV6m0OerWfX9s21YsFmt6bVCp+tSMfD6vRCJR/jc3NyfLsnT27FnF4/GOVGbi8bgikUjdc+l0WrFYTPPz81XHHccptzSvp1RNAgCgH1BJAjDwxsfH6zYhKCUY9RIWwzCUz+erjjWqlJSqLul0uqlpd1vvux2v11v3npZlyefzKZPJtD1RunTpUsMpfJZlKRwO1zxnPp/f8XXR4Q4A0C9IkgAcCNutfWpm6lupCpLL5ZRMJus+JpfLNTUW13Ub7n/ULNu2lUgkZFlWW9ck7dSaPJvN1j0fDAa33XTW6/VqZWWlLWMEAKDTSJIAHAh7rbaUkqRIJFI3Sdg6BW8/TE5Oblv12Y2LFy827GpX+h7stvV6P7dsBwAcLKxJAoAmlCpR7Zoy1sqUu+2U2oC38vjtzqXT6YaVpNL3YDcVoXw+v+eW5wAA7BcqSQDQhNK6o8XFxYZVo2ZbXJum2ZZkq/RcjbrlRaNRBQIB5XI5jY+Pl9ujW5ZVN2G5dOmSzp07t+PYt2vA0Oh7QPtvAEA/oZIEAE0qrQOqp3KfpZ0EAgEtLi7ueTylRKcyaUmn05KKCVJp7yLbtssd/OLxeMOKTjMbyNq2rWQyWTfJcxyn/Pz1zlFJAgD0C5IkAD2r9Ea8lalp9d68r6ys7DjNrBnT09MKBoM1icRO09S2mpyc3LEdtuu6chyn/K+e0jhSqVT5WDablVSsClVWl0zTbNhwQlJ5s9edmliEw2FNT0/XbRGeTCYbVtmYbgcA6CeeQqFQ6PYgAKAkm81qbm6uvGmq67oyTVN+v19er7dukwLXdXXhwgWl02m5rqtgMCjbtmWaZtXxcDis8+fPKxwOKxaLKZVKKZ1Ol++/sLAgx3FkWVbVNdFotCoBSiQSymQy8vl8Mk2zZiPaZoyNjTXsBle6fyXDMOq2H0+n07JtW6FQSIZhKBgMyjRNhUIhRaPRctJSbxPcSqU9oGZmZpoafzKZVCqVaup7kE6nFY/Ha/adAgCgV5EkAUAXlDaE7VRXvGQyWU5MlpaWdkxSfD6fUqlUR6o90Wi0YVdAAAB6EdPtAKALotFoW1t3b5XP57WwsKB0Oi2v17ttgpTNZmUYRsemw7UyFREAgF5AkgQAXWCa5o6d4vYik8kon88rHA7vuM6omYYNu5VIJOpOEwQAoJcx3Q4AuqS0lqoTa3Wy2awCgYCk4nomr9dbXqu1tRX32NiYlpeX296iu5OvDwCATqKSBABdYhiGotFow7biu+W6rubm5rS6uqpCoaDl5WWlUikZhqGpqamqx5amwnViDyPLsjQ/P9/2+wIA0GlUkgCgy0p7C7Vr3U4ikZDX663bFGJrVz3LshQKhdq+ZiiRSJQ77QEA0G9IkgBgwJTaqG+d5pbNZmVZVtW+SgAAoBZJEgAMoGw2q4sXL8rn88nr9Sqfz8t13ab3QQIA4CAjSQIAAACACjRuAAAAAIAKJEkAAAAAUIEkCQAAAAAqkCQBAAAAQAWSJAAAAACoQJIEAAAAABVIkgAAAACgAkkSAAAAAFQgSQIAAACACv8f0wKZctwBDwgAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "14642" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#and now the low resolution model\n", "fig = plt.figure(figsize=(9.,7.5))\n", "\n", "gs = gridspec.GridSpec(200,200) \n", "gs.update(wspace=0,hspace=0)\n", "ax = plt.subplot(gs[:-50,:-50])\n", "side = plt.subplot(gs[:-50,-50:200])\n", "below = plt.subplot(gs[-50:200,:-50])\n", "\n", "c = ax.pcolormesh(time_array,coarse_grid,impulse_en_rebin,cmap=\"PuRd\",\n", " shading='auto',linewidth=0,rasterized=True)\n", "ax.set_xticklabels([])\n", "ax.set_ylim([0.1,10.5])\n", "ax.set_xlim([0,400])\n", "ax.set_ylabel(\"Energy (keV)\",fontsize=18)\n", "ax.xaxis.set_visible(False)\n", "\n", "below.semilogy(time_array,pulse_profile_en_rebin,linewidth=2.5,color=colorscale[3])\n", "below.set_xlabel(\"Time ($\\\\rm{R_g}/c$)\",fontsize=18)\n", "below.set_ylabel(\"Response\",fontsize=18)\n", "below.set_ylim([1e-3,4e0])\n", "below.set_xlim([0,400])\n", "\n", "side.step(line_profile_en_rebin,coarse_grid,linewidth=2.5,color=colorscale[3],where='mid')\n", "side.invert_xaxis()\n", "side.yaxis.tick_right()\n", "side.yaxis.set_label_position('right')\n", "side.yaxis.set_ticks_position('both')\n", "side.set_yticklabels([], minor=False)\n", "side.set_xlabel(\"Line profile \\n (arb. units)\",fontsize=18)\n", "side.set_ylim([0.1,10.5])\n", "side.set_xlim([12.5,-0.5])\n", "\n", "fig.colorbar(c, ax=side)\n", "\n", "ax.set_title(\"Energy space model\")\n", "\n", "plt.show()\n", "\n", "gc.collect()" ] }, { "cell_type": "markdown", "id": "e7273c5c-40b8-4bb3-8df6-ff3ec2947954", "metadata": {}, "source": [ "We can now fold these two models with the rebinned respones we calculated earlier, and compare the output for each combination." ] }, { "cell_type": "code", "execution_count": 13, "id": "29eb7a13-8e03-4d42-97e1-5d9dcdba7827", "metadata": {}, "outputs": [], "source": [ "#now let us fold the models through all the rebinned responses, and compare the outputs:\n", "nobin_fold = nicer_matrix.convolve_response(impulse_base,units_in=\"rate\")\n", "channel_fold = rebin_chans.convolve_response(impulse_base,units_in=\"rate\")\n", "energy_fold = rebin_coarse.convolve_response(impulse_en_rebin,units_in=\"rate\")\n", "both_fold = full_rebin.convolve_response(impulse_en_rebin,units_in=\"rate\")" ] }, { "cell_type": "code", "execution_count": 14, "id": "d409472e-7858-493d-bdb3-c99539aa350a", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "14724" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#first: plot the unbinned model\n", "convolved_line_profile = np.sum(nobin_fold,axis=1)\n", "\n", "fig = plt.figure(figsize=(9.,7.5))\n", "\n", "gs = gridspec.GridSpec(200,200) \n", "gs.update(wspace=0,hspace=0)\n", "ax = plt.subplot(gs[:-50,:-50])\n", "side = plt.subplot(gs[:-50,-50:200])\n", "below = plt.subplot(gs[-50:200,:-50])\n", "\n", "c = ax.pcolormesh(time_array,channel_grid,nobin_fold,cmap=\"PuRd\",\n", " shading='auto',linewidth=0,rasterized=True)\n", "ax.set_xticklabels([])\n", "ax.set_ylim([0.1,10.5])\n", "ax.set_xlim([0,400])\n", "ax.set_ylabel(\"Energy (keV)\",fontsize=18)\n", "ax.xaxis.set_visible(False)\n", "\n", "below.semilogy(time_array,pulse_profile_base,linewidth=2.5,color=colorscale[3])\n", "below.set_xlabel(\"Time ($\\\\rm{R_g}/c$)\",fontsize=18)\n", "below.set_ylabel(\"Response\",fontsize=18)\n", "below.set_ylim([1e-1,3e2])\n", "below.set_xlim([0,400])\n", "\n", "side.step(convolved_line_profile,channel_grid,linewidth=2.5,color=colorscale[3],where='mid')\n", "side.invert_xaxis()\n", "side.yaxis.tick_right()\n", "side.yaxis.set_label_position('right')\n", "side.yaxis.set_ticks_position('both')\n", "side.set_yticklabels([], minor=False)\n", "side.set_xlabel(\"Line profile \\n (arb. units)\",fontsize=18)\n", "side.set_xscale(\"log\")\n", "side.set_ylim([0.1,10.5])\n", "side.set_xlim([1e4,1])\n", "\n", "fig.colorbar(c, ax=side)\n", "\n", "ax.set_title(\"Detector space model, no rebin\")\n", "\n", "plt.show()\n", "\n", "gc.collect()" ] }, { "cell_type": "code", "execution_count": 15, "id": "1d1b1fc9-5484-441f-8ffa-99613f05b200", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "14499" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#first: plot the channel-rebinned model\n", "convolved_line_profile = np.sum(channel_fold,axis=1)\n", "\n", "fig = plt.figure(figsize=(9.,7.5))\n", "\n", "gs = gridspec.GridSpec(200,200) \n", "gs.update(wspace=0,hspace=0)\n", "ax = plt.subplot(gs[:-50,:-50])\n", "side = plt.subplot(gs[:-50,-50:200])\n", "below = plt.subplot(gs[-50:200,:-50])\n", "\n", "c = ax.pcolormesh(time_array,rebin_grid,channel_fold,cmap=\"PuRd\",\n", " shading='auto',linewidth=0,rasterized=True)\n", "ax.set_xticklabels([])\n", "ax.set_ylim([0.1,10.5])\n", "ax.set_xlim([0,400])\n", "ax.set_ylabel(\"Energy (keV)\",fontsize=18)\n", "ax.xaxis.set_visible(False)\n", "\n", "below.semilogy(time_array,pulse_profile_base,linewidth=2.5,color=colorscale[3])\n", "below.set_xlabel(\"Time ($\\\\rm{R_g}/c$)\",fontsize=18)\n", "below.set_ylabel(\"Response\",fontsize=18)\n", "below.set_ylim([1e-1,3e2])\n", "below.set_xlim([0,400])\n", "\n", "side.step(convolved_line_profile,rebin_grid,linewidth=2.5,color=colorscale[3],where='mid')\n", "side.invert_xaxis()\n", "side.yaxis.tick_right()\n", "side.yaxis.set_label_position('right')\n", "side.yaxis.set_ticks_position('both')\n", "side.set_yticklabels([], minor=False)\n", "side.set_xlabel(\"Line profile \\n (arb. units)\",fontsize=18)\n", "side.set_xscale(\"log\")\n", "side.set_ylim([0.1,10.5])\n", "side.set_xlim([1e4,1])\n", "\n", "fig.colorbar(c, ax=side)\n", "\n", "ax.set_title(\"Detector space model, channel rebin\")\n", "\n", "plt.show()\n", "\n", "gc.collect()" ] }, { "cell_type": "markdown", "id": "453fecf3-5537-4c19-bb79-b77786e86616", "metadata": {}, "source": [ "Unsurprisingly, rebinning to a coarse channel grid causes the instrumental features to barely appear in the folded line profile." ] }, { "cell_type": "code", "execution_count": 16, "id": "e5562e08-8935-4a17-b225-552d786d1ae8", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "14484" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#first: plot the energy-rebinned model\n", "convolved_line_profile = np.sum(energy_fold,axis=1)\n", "\n", "fig = plt.figure(figsize=(9.,7.5))\n", "\n", "gs = gridspec.GridSpec(200,200) \n", "gs.update(wspace=0,hspace=0)\n", "ax = plt.subplot(gs[:-50,:-50])\n", "side = plt.subplot(gs[:-50,-50:200])\n", "below = plt.subplot(gs[-50:200,:-50])\n", "\n", "c = ax.pcolormesh(time_array,channel_grid,energy_fold,cmap=\"PuRd\",\n", " shading='auto',linewidth=0,rasterized=True)\n", "ax.set_xticklabels([])\n", "ax.set_ylim([0.1,10.5])\n", "ax.set_xlim([0,400])\n", "ax.set_ylabel(\"Energy (keV)\",fontsize=18)\n", "ax.xaxis.set_visible(False)\n", "\n", "below.semilogy(time_array,pulse_profile_base,linewidth=2.5,color=colorscale[3])\n", "below.set_xlabel(\"Time ($\\\\rm{R_g}/c$)\",fontsize=18)\n", "below.set_ylabel(\"Response\",fontsize=18)\n", "below.set_ylim([1e-1,3e2])\n", "below.set_xlim([0,400])\n", "\n", "side.step(convolved_line_profile,channel_grid,linewidth=2.5,color=colorscale[3],where='mid')\n", "side.invert_xaxis()\n", "side.yaxis.tick_right()\n", "side.yaxis.set_label_position('right')\n", "side.yaxis.set_ticks_position('both')\n", "side.set_yticklabels([], minor=False)\n", "side.set_xlabel(\"Line profile \\n (arb. units)\",fontsize=18)\n", "side.set_xscale(\"log\")\n", "side.set_ylim([0.1,10.5])\n", "side.set_xlim([1e4,1])\n", "\n", "fig.colorbar(c, ax=side)\n", "\n", "ax.set_title(\"Detector space model, energy rebin\")\n", "\n", "plt.show()\n", "\n", "gc.collect()" ] }, { "cell_type": "markdown", "id": "a34fc090-ecec-4e4e-8222-66c753f8817e", "metadata": {}, "source": [ "Once again, rebinning in energy causes issues in the folded model. Despite the fine channel grid we're using, there are clear distortions in the line profile that are not present in the unbinned model, and are therefore unphysical." ] }, { "cell_type": "code", "execution_count": 17, "id": "d03cab83-465a-48d6-8f9c-bf8895190e48", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "14499" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "#finally, the channel+energy rebin mode\n", "convolved_line_profile = np.sum(both_fold,axis=1)\n", "\n", "fig = plt.figure(figsize=(9.,7.5))\n", "\n", "gs = gridspec.GridSpec(200,200) \n", "gs.update(wspace=0,hspace=0)\n", "ax = plt.subplot(gs[:-50,:-50])\n", "side = plt.subplot(gs[:-50,-50:200])\n", "below = plt.subplot(gs[-50:200,:-50])\n", "\n", "c = ax.pcolormesh(time_array,rebin_grid,both_fold,cmap=\"PuRd\",\n", " shading='auto',linewidth=0,rasterized=True)\n", "ax.set_xticklabels([])\n", "ax.set_ylim([0.1,10.5])\n", "ax.set_xlim([0,400])\n", "ax.set_ylabel(\"Energy (keV)\",fontsize=18)\n", "ax.xaxis.set_visible(False)\n", "\n", "below.semilogy(time_array,pulse_profile_base,linewidth=2.5,color=colorscale[3])\n", "below.set_xlabel(\"Time ($\\\\rm{R_g}/c$)\",fontsize=18)\n", "below.set_ylabel(\"Response\",fontsize=18)\n", "below.set_ylim([1e-1,3e2])\n", "below.set_xlim([0,400])\n", "\n", "side.step(convolved_line_profile,rebin_grid,linewidth=2.5,color=colorscale[3],where='mid')\n", "side.invert_xaxis()\n", "side.yaxis.tick_right()\n", "side.yaxis.set_label_position('right')\n", "side.yaxis.set_ticks_position('both')\n", "side.set_yticklabels([], minor=False)\n", "side.set_xlabel(\"Line profile \\n (arb. units)\",fontsize=18)\n", "side.set_xscale(\"log\")\n", "side.set_ylim([0.1,10.5])\n", "side.set_xlim([1e4,1])\n", "\n", "fig.colorbar(c, ax=side)\n", "\n", "ax.set_title(\"Detector space model, energy+channel rebin\")\n", "\n", "plt.show()\n", "\n", "gc.collect()" ] }, { "cell_type": "markdown", "id": "6b0fe7ff-2fca-426b-b5dd-bdda8979c843", "metadata": {}, "source": [ "Finally, folding with a response rebinned in both energy and channel to a coarse grid behaves somewhat similarly to the channel-rebinned response; however, there are still some small (unphysical) introduced by rebinning in energy. This further reiterates that energy rebinning should be carried out very carefully. Finally, let us compare the performance in each case:" ] }, { "cell_type": "code", "execution_count": 18, "id": "30c99b0b-3d26-4829-985b-05713679843a", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Unbinned response fold time:\n", "26.4 ms ± 4.88 ms per loop (mean ± std. dev. of 7 runs, 10 loops each)\n", "Channel rebinned response fold time:\n", "1.91 ms ± 40.7 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", "Energy rebinned response fold time:\n", "811 µs ± 101 µs per loop (mean ± std. dev. of 7 runs, 1,000 loops each)\n", "Channel+energy response fold time:\n", "75.1 µs ± 7.56 µs per loop (mean ± std. dev. of 7 runs, 10,000 loops each)\n" ] } ], "source": [ "print(\"Unbinned response fold time:\")\n", "%timeit nicer_matrix.convolve_response(impulse_base,units_in=\"rate\")\n", "print(\"Channel rebinned response fold time:\")\n", "%timeit rebin_chans.convolve_response(impulse_base,units_in=\"rate\")\n", "print(\"Energy rebinned response fold time:\")\n", "%timeit rebin_coarse.convolve_response(impulse_en_rebin,units_in=\"rate\")\n", "print(\"Channel+energy response fold time:\")\n", "%timeit full_rebin.convolve_response(impulse_en_rebin,units_in=\"rate\")" ] }, { "cell_type": "markdown", "id": "6394f6b0-2fcf-443d-9f81-a0d501634cdf", "metadata": {}, "source": [ "Note that in this case energy rebinning does provide a major performance improvement, at the expense of model accuracy as discussed above." ] } ], "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": "3.10.12" } }, "nbformat": 4, "nbformat_minor": 5 }