{ "cells": [ { "cell_type": "markdown", "id": "2a59a10e-1a1b-4cfd-b6ba-c6d954c8802a", "metadata": {}, "source": [ "# Fitting two-dimensional data\n", "\n", "nDspec allows users to fit generic two-dimensional data, using identical methods, optimizers, inference etc as the other fitters in the package. This method allows great freedom for users, as in principle they can fit any dataset they can import provided they have a model for it.\n", "\n", "If users wish for one of the two dimensions to be photon energy, then they can provide an instrument response matrix, and the fitter will automatically fold the two-dimensional model through the response when evaluating the likelihood. " ] }, { "cell_type": "code", "execution_count": 1, "id": "37fd5add-504b-4c76-9d81-617556fb1b6a", "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import warnings\n", "import os\n", "import sys\n", "\n", "import matplotlib.pyplot as plt\n", "from matplotlib import rc, rcParams\n", "rc('text',usetex=True)\n", "rc('font',**{'family':'serif','serif':['Computer Modern']})\n", "plt.rcParams.update({'font.size': 17})\n", "\n", "from lmfit import Model as LM_Model\n", "from lmfit import Parameters as LM_Parameters\n", "\n", "sys.path.append('/home/matteo/Software/nDspec/src/')\n", "from ndspec.Response import ResponseMatrix\n", "from ndspec.FitTwoD import FitTwoD\n", "import ndspec.Models as models" ] }, { "cell_type": "markdown", "id": "81832401-aa80-4845-89b4-1831818d6405", "metadata": {}, "source": [ "## Dynamical power spectra\n", "\n", "As a first example, let us fit a power spectrum where a broad component remains constant, but with the addition of a QPO whose centroid varies over some phase. We will begin by defining a model and two grids to generate fake data from:" ] }, { "cell_type": "code", "execution_count": 2, "id": "909e7769-bbf5-4ba0-b5cc-3560782ee697", "metadata": {}, "outputs": [], "source": [ "#lorentzian model with one narrow lorentzian drifting over phase \n", "def lorentz(freq,peak_f,q,rms):\n", " par_array = np.array([peak_f,q,rms])\n", " model = models.lorentz(freq,par_array)\n", " return model\n", "\n", "def sin_wave(phase,norm,center):\n", " return norm*np.sin(phase*2*np.pi)+center\n", "\n", "#x_grid is phase, y_grid is frequency\n", "def twod_lorentzians(x_axis,y_axis,peak_1,peak_2,q_1,q_2,rms_1,rms_2,mod_norm):\n", " peak_2_mod = sin_wave(x_axis,mod_norm,peak_2)\n", " model = np.zeros((len(x_axis),len(y_axis)))\n", " for i, peak in enumerate(peak_2_mod):\n", " model[i,:] = lorentz(y_axis,peak,q_2,rms_2)*y_axis\n", " model = model + (lorentz(y_axis,peak_1,q_1,rms_1)*y_axis).reshape(1,(len(y_axis)))\n", " return model.T\n", "\n", "#define our grid of \n", "phase_grid = np.linspace(0,1,30)\n", "freq_grid = np.geomspace(1e-1,10,50)" ] }, { "cell_type": "markdown", "id": "d3899ec1-8de7-40eb-a77d-829532090061", "metadata": {}, "source": [ "We can now take our model, and draw random numbers from it distributed along a Gaussian function to generate our data, using a standard deviation of 5\\% to fake the errors. Note that the shape of these arrays is (50x30) - 30 rows in phase, and 50 columns in Fourier frequency:" ] }, { "cell_type": "code", "execution_count": 3, "id": "9112784a-ceda-43b7-a896-19dd1de2c93f", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(50, 30) (50, 30)\n" ] }, { "data": { "text/plain": [ "Text(0, 0.5, 'Frequency (Hz)')" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "peak_1 = 1\n", "q_1 = 1e-1\n", "rms_1 = 2e-2\n", "\n", "peak_2 = 5\n", "q_2 = 5\n", "rms_2 = 1e-2\n", "\n", "#this controls the modulation of the centroid frequency of the QPO\n", "mod_norm = 2.\n", "\n", "starting_model = twod_lorentzians(phase_grid,freq_grid,peak_1,peak_2,q_1,q_2,rms_1,rms_2,mod_norm)\n", "dynamical_psd = np.random.normal(loc=starting_model,scale=0.05*starting_model,size=starting_model.shape)\n", "dynamical_psd_err = 0.05*dynamical_psd\n", "\n", "print(dynamical_psd.shape,dynamical_psd_err.shape)\n", "\n", "#test plot in 1d with errors\n", "fig, ax1 = plt.subplots(1,1,figsize=(6.,4.5))\n", "ax1.errorbar(freq_grid,dynamical_psd[:,0],yerr=dynamical_psd_err[:,0])\n", "ax1.errorbar(freq_grid,dynamical_psd[:,10],yerr=dynamical_psd_err[:,10])\n", "ax1.errorbar(freq_grid,dynamical_psd[:,20],yerr=dynamical_psd_err[:,20])\n", "ax1.set_xscale(\"log\")\n", "ax1.set_yscale(\"log\")\n", "ax1.set_xlabel(\"Frequency (Hz)\")\n", "ax1.set_ylabel(\"Power*frequency\")\n", "\n", "#test plot in 2d\n", "fig, ax2 = plt.subplots(1,1,figsize=(6.,4.5))\n", "ax2.pcolormesh(phase_grid,freq_grid,dynamical_psd,cmap=\"plasma\",shading='auto',linewidth=0)\n", "ax2.set_ylabel(\"Phase\")\n", "ax2.set_ylabel(\"Frequency (Hz)\")" ] }, { "cell_type": "markdown", "id": "1a224e9d-67c8-429f-8945-9b957e6aab6a", "metadata": {}, "source": [ "Now that we have generated our fake data, we can initialize a `FitTWoD` object and use the `set_data` method to assign the data, error, as well as the grids along the X (`column_grid`) and Y (`row_grid`) axis over which the data is defined.\n", "\n", "We can then plot the data using the `plot_data` method to make sure everything worked out correctly. If at any point during our work we wish to ignore (or stop ignoring) any data bins, we can do so with the `ignore_row`, `notice_row`, `ignore_column`, or `notice_column` methods:" ] }, { "cell_type": "code", "execution_count": 4, "id": "6cf2281f-d688-4ac9-bb71-dbe7d43a43f9", "metadata": {}, "outputs": [ { "data": { "image/png": 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RaNTWfThVdmJiAplMpmlZXdexvLx85HkANndLbW5u1rKez58/b+euiYiITpRuLr8QiURgGEbTvxmG0db8MJJ9OFHWMIxDy0nOA+gwuLl79y5u375dmxLZ5/MhEAgAOGiC8vl80HUdoVAIr732GhKJRMd9h0RERCeBHTk37ZqensbU1FTD88ViEZqm1bp1nlddxFJlH06U1XUdiUSi6QKZ1blw2l1KQqlb6p133sHk5GRtiNaNGzdQqVSwv7+PcrmMcrlc+/fy8jISiQQsy0IsFsPFixdx//59lWqJiIhOji6uLRUKhXDp0iXkcrm651OpFBYXFxvKh8NhjI6O1rWUSPbhVNlkMolUKtVwvJcvX0YsFmt7rhufZbXf+PXBBx8glUrh7bffxptvvtnuZnU2NjYwNzeHjY0NXL9+XWkfTtvc3EQgEMC/MfB76Pedans7zRoS1fOp/WHpoeFVhca28yO7ovI/84p8sqef0b8jKj8wsCeuY2h4R1R+7QfnxHV8+K0x8Tal758VlTcqFXEdP+zbFpV/6pNf3yfCbbYhr2NA+HvqsU927wJAH+S/lCuQ9QF0o44BhV/8ivPFiUiPS+VaqThjDbZddt96huL+f4WNjQ1HehOq3yEPZ38FI8PtH1fdPrZ2MTb3T8XHWM1X0TQNpVIJ0Wi0aVdOdSHKlZWVhqHY7e7DqbLVlcGrqnk5kkn82g5u3nvvPayuruKLX/xi2ztvZXV1FZlMBul0+th1VTG4YXAjweCmfQxu2sfgRuY4Bjf/6ku/2lFw8zPX/i/HjtHr2vqmXF1dhaZptgU2ADA+Po7r16/jxo0buHz5sm37tdOo5ccA2p8waWy//UAIAH5OYS6mf+cXvyneZvJv3hWVHxgzxXVYw/uyDYblX/DYkn0xflZeA0L3XxFvs/YXr4rK3/mjXxbX8f989yVR+XKfPPAY7JMFj48VvrR2fLLX/SXBF1atDgjvRQB7wlPpU0gSHUK/rA6VAEqYhTooPCYA2BVe3xFLbdI5qTNW+z/89iz5PaKmg7WluhQUelVbd8P4+DjGx8cdOYDjGtgQERF1opsJxVSP89wQERGRp9gyz83NmzfxhS98oe65jY0N5HI5lMtlnDt3DpqmNZQhIiLyLIVRT3XbkjJbWm4SiQQ+//nP49GjR7XnAoEArl69irm5OZw/fx7JZNKOqoiIiE6E6iR+qg9SZ0twk81m8ZnPfAbnz5/H17/+9Ya/x2IxvPXWW3ZURUREdCJUc25UH6TOluDm3LlzWFxcxNzcHN566y38xm/8RkOZ1157zY6qiIiIiFqyJbiprieVSCTw4Ycf4v3338dnP/tZ/Nmf/VmtzIuTBBEREXma5evsQcpsCW6eX8q8umrnm2++iVAohN/7vd+zowoiIqKTpeKDpfhgQnFnbAlu8vl8w3PpdBrf+MY38JWvfAUXL17ExsaGHVURERGdCMy5cY9twc309DRu3bqFBw8e1J6vLnNeqVSaLoRFREREZDdb5rmpVCrY2NhAuVzGi0tVaZqGfD6P9957z46qiIiIToZOcmfYctMRW4Ib4GBem0AgcOjfORSciIh6CZdfcI+oW+rKlSvKFXWyLRER0UljVTp7kDpRy83y8jK+/e1vY3R0VFRJuVzG8vKyaBsiIiIiFaLgZmVlBbquO3UsRERE3sGcG9eIghtd15uOerIsC7lc7tD1oyzLwjvvvKN2hERERCcQc27cIwpuIpEILl++3PRvxWLx0L9V/05ERNQrGNy4R5RQ3GquGp+v9QvBeW6IiIioG0QtN+Pj48oVdbItERHRicOcG9fYNs8NERERfcyycLBOlOK2pE4U3Ny9exevv/5607+9ODOxZNvjamx/GEO+U22X/+VPPRPt/69P35EeEj75n98Tb+N7eEZU/i+uR8V1fOfBp0Xlnzw5La5D0x6Jygc/WRbX8YlXfyTe5pVf/1NR+V//5b8U1zHx7q+Kyv/xP/tZcR0P9mUfwv198g/tx9gTld+HfLKPik/+rTDQhS+SfuFqNxbkBzWIflF5lfV3BoS/iQcgv09OW/Lf3ef3h9suuwML/7e4Bjnm3LhHdG8vLi4e+rejcm5abUtERERkF1F4PD8/j/X19aaT+BUKhUNnIS6XyygUCrh+/braURIREZ001k8eqtuSMlFwY5omFhYWoGla07/Pz88fut1RLTtERERewm4p94jnubl9+7ZSRW+88YbSdkRERCcRgxv3iHJuolF5oqkd2xIRERG1S9Ryc/XqVeWKOtmWiIjopLEqPvWh4Irb0QHOc0NEROQETuLnmra6pVZXV3Hz5k3bK9/c3MRXv/pV2/dLRETktmrOjeqD1LUV3IyPjyMcDuPKlSvY3Ny0peL33nsPc3Nz+OIXv2jL/oiIiIgAQULxhQsXcO3aNczMzODKlSt48OCBUoXvvfceLl68CJ/Ph7m5OaV9EBERHXdsuXGPKOcmEAjg3XffxQcffICZmRl88MEHiEQiCIfD0HUdwWCwbg4c0zRhGAbu3buHlZUVrK+vY3p6Gt/4xjfsPg8iIqJjxbLU14ji2lKdUUoovnDhAhYWFgAAd+7cQT6fx+3bt2EYBkzTRLlcrgU6uq4jGo0ikUh0dWXwTCaDe/fuQdd1AMDExAQSiUTX6iciot7GeW7c0/FoqampKUxNTdlxLLaJRqOIx+O19axM08TU1BQmJycRCoVcPjoiIiJykueGgieTSYRCobpWmnK5DMMwXDwqIiLqORXfwUN1W1LmqeDGMAzkcjmsr6/XPa/resNzRERETmK3lHs8Fdyk02mEQqFDF/YkIiLqFgY37hGtLXXcFQoFTE5OAjhoxSkUCuyOIiIi6jGeCm4Mw4CmaVhaWoJhGJicnIRhGIjH4zBN89Dttre3sbm5WfcgIiLqBOe5cY9ngptq8GIYBnRdRyQSgaZpiEQiSCaTLUd0zc3NIRAI1B5jY2NdOmoiIvKuTgIbBjed8FmWN6YKMk0To6OjCIVCWFlZafi7z+fD4uIiYrFYw9+2t7exvb1d+/fm5ibGxsZw/eXfx6m+U20fw3965Q9Ex/zSL3xHVB4APvh7vyLe5l/+1XlReeO7AXEd5p7sjVgR1wA8Ed6pn1AI3YOn9sXbjI+ticr/4ht/Kq7jp+KN93Qr3/zqr4rr+MP/8/Oi8n+xJ38Vv9v/TFS+AvnH057CNlK7Pvl9MmDJbkiVc+8TfiH2K3yB+tEvKq9VhsR1fLoyKN7m3/7MRttln1ae4fLDv4ONjQ2MjIyI6zrK5uYmAoEAivEv4KVB+fkDwOPdHYQWbzp2jF7nmZabahJxNefmRaFQCPl8vunf/H4/RkZG6h5ERER0MtkS3Fy8eNGO3dii1Uip5eXl7h0IERH1NKvS2YPU2RLc5PN5zM7O2rGrjoRCoZaJw8FgsHsHQ0REPY0Jxe6xZZ6bagLvjRs34PP5EIlEcP78eTt2LRKJRFAoFJr+zTRNRCKRLh8RERH1Ks5z4x5bgpuVlRUEAoHaiKQ7d+5gcXERExMTePPNN+2ooi3JZBKZTAamadZ1TxmGAcMwkEwmu3YsRERE5A5bgptAoH50TXUxzY2NDdy8eROmaSIWiznemqPrOmZmZpBKpZDNZmvPJ5NJpNPp2grhRERETmPLjXscXX5hdXUVt2/fxtLSErLZLJLJJHRdd7Q1J51OI5fLIZlMQtM0mKaJVCrFLikiIuoqy1IPUrwxSYt7bAluHjx4UGuV2dzcxMLCAq5du4bV1VW89dZbyOfztS6rjY0N3LhxAxMTE3j99dftqL7B8yuCExERucLyHTxUtyVltoyWisfjuHv3Li5duoTR0VGk02kkk0mUy2UsLCzUzQ4cCARw+fJlhMNh3Lx5047qiYiIiGpsSyiORqN46623cPv27ZZLHVQFAgGMjo7aUT0REdGxw5wb99jScqPretNWmsOsrq5ienoaPh9fPCIi8ibOc+MeW1pukslkw4ipo1iWxdFLRETkWZ3MNMwZijtjS3Bz9epVUfnx8XEsLCzYUTURERFRHdsWzrxz5w6mp6dx9+7duudv3LiBW7du2VUNERHRicBuKffYEtzcvXsXwWAQpVIJhmHU/e3y5csYHx9vCHqIiIi8jMGNe2wJborFIi5cuIDl5WV84QtfaPj7hQsXWi5oSURE5DUMbtxjS3DTTjJxuVy2oyoiIiKilmxJKN7Y2DiyTKlUsqOqrvq1/zmLkdP9bZffKX1CtP8/TP0t6SFh+V/+lHibNWHWvQX5vN87PlklT4TlAQDCHzIq4fSpp/J4/7t/JXtNfrQmXwrk3/+xbDTiz775L8R1nAk8EZX/R/9EPsN43/4pUfly3664jh3I76094f04ZMnvk4rwfdUvveEB7ArPfcQaFNdxxpJ9bXyqIq9j6l//kXib/+Tv3mi77ObTfVyOi6sQ4zw37rGl5ebHP/4xvv71rx/695s3b8LiQhlERNRD2C3lHltabq5du4bJyUn87u/+Ln7t134N4+PjAADDMDA/Pw/TNPGtb33LjqqIiIhOBLbcuMe2VcGXl5eRSqUa5rxJJBJ499137aqGiIiIqCXbghsASKfTSKfTWF1dBYBaCw4REVHPsXxAhauCu8HW4KaqWVDz4MEDnD9/3onqiIiIjh12S7nHthmKj5JOp7tVFRERkeuYUOwe21pubt68iXw+f+hkfYVCAdevX7erOiIiIqKmbAluvvSlL2FpaQmRSKRpl5RpmtA0zY6qiIiITgTLOniobkvqbGu5+fDDD+3aFRER0cnXSfcSu6U6YktwMzExcWQZ5twQEVEvYUKxexwZLdWMz8cXioiIyEm5XK6WClIqlRCNRhGJyJZ8kezDqbKZTAZra2soFosAgFQqJToPW4KbSCSCW7du4c033zy0TCqVYkIxERH1jG633CSTSYTDYczMzNSei8cPFtFqNzCQ7MOpsqlUCrOzs7Vc3UKhgGg0inQ6Xbd9K7YEN9VoLJVKIRQKIRgMNpRZWFhgcENERD2jm8FNsVhEoVBANputez6dTiMcDmN9fd3WfThVNpfLIZlM1g1CikQiSKfTtdabUCh05LnYMs9NNptFqVTChQsXYFkW1tbW6h4ncUVwIiKiTlgVX0cPiWw227R1Rtd1AAetH3buw6mypVKp9vzzEokEAGB+fv7I8wBsarmZnJzE7du3W5Z5++237aiKiIiIXlAoFBCLxZr+Tdd15PP5I7umJPtwqmwmk4Fpmg2tPJqmQdO0Wg7OUWwJbl48iGZSqZQdVXXVj+78HLb8g22X/5P5KdH+/+qHp6WHhO+hIt7mWd++qPyWT15Hv7AJtQL5JA47wuMasuQNk3s+hcklhJts/mhYXMXa0i+Jyk/9UBPXEb7c+gfKiy6/9Excxz+88ddF5R/s+sV1rPXtibfZEb6vVG6TJ8LjOlORfzxLe0BGFOr4afSLyv97v/BdcR2/8o/liy0/+aN/rf2yW7sAvimuQ+pgnhvVbilZecMwDh25HAwG2woKJPtwqmwkEjl0XjzJnHm2BDftLJDJRTSJiKiX2JFzs7m5Wfe83++H3y8P+svlstJxqO5DtWw+n29axjAMAEA0Gm1rn7atLXX//n288cYbOHfuHG7dulV7/p133sHdu3ftqoaIiOhEsGNtqbGxMQQCgdpjbm6uoZ7Dlj2q0jTtyDKSfThVtpVsNgtN02q5N0exJbj54IMP8PrrryMajSKXy9X97erVq7AsC/fv37ejKiIiop7x8OFDbGxs1B6zs7NK+7FjCSTJPuwsWywWkcvlcOfOnbb3adtQ8NXVVQQCAQCoa7kBgKmpKdy6dQuf+9zn7KiOiIjo2LOjW2pkZAQjIyMdHUc7LSN27sPusvF4HIuLi20NAa+yJbgJhUK1wOYwdvT3ERERnRTdmuem2vLRKlBoNv+c6j6cKttMPB5HOp0Wz7JsS7fUuXPn6v5tNUnz5lw3RETUS+zIuWlXKBTC2tpa078ZhtFWIq5kH06VfV4qlcL09PShw8hbsSW4ef/99/Ho0aPav19cR+rWrVtNAx4iIiLqXCQSqY0oepFhGG21fEj24VTZqlwuh2g02hDYtDMZIWBTt9Ts7CwuXLiAK1euYGpqCoZh4MGDBygWi5ifn4dhGLh3754dVREREZ0I3Vx+YXp6GlNTjXOtFYtFaJrWNF/lxXljJPtwqixwEMDout406CkWi20Fara03AQCAdy+fRtf+9rXEAqFMDMzg4mJCcRiMQSDQQY2RETUcyyrg+UXFLqlLl261DBiOZVKYXFxsaF8OBzG6OhoXYuKZB9OlS0Wi8hmszBNE0tLS3WPTCbT3Un8gIMplJeXl7G6uopisQhd13HhwgW7dk9ERHSidHtV8Gw2i0wmUwsCSqVSbbHJF01OTsI0zYZkXsk+nCg7NTVVC2yaOWySvxfZFtxUjY+PN52N+P79+xwKTkRE5KCZmZm2yrVaNqndfThRtp3Vy9th2wzFRzmJa0sRERGpOlhbSv1B6mxpubl48WLLv5fL5bZX8iQiIvKCiuVDRbFbSnU7OmBLcHPv3j1EIhHoul73vGmaWF5ehq7ruHTpkh1VddWf3pnE6f5TbZeXrvL9Y4XQfFNhxWPpCtwqq2k/88mOq1+h0VB6Hn2Qfzhs+WQrqKvYVVh1fW+3/dXpAcD///28uI7Hj14Slf83//h/FdfxNx63/34CgD/+g18W1/EXm7JrBQBl4ftqT2FV+0/uyxc7lDpTka3Y/Smf/D0yFX4gKv/6f/t/iOswv/YL4m3+5B+3/pH9vGeVZwBui+uQ6nbODX3MluBmcnISCwsLh/79zp07DRP9ERERETnBlpybZsPMnled+4aIiKhndDI7MVtuOmJLy81R60oBXFuKiIh6C7ul3GP7UPDDcG0pIiLqJQxu3GNLcHPlypWWf19eXsb09LQdVRERERG1ZEtwMz8/j8nJyYZpkaszH167dq3puhJEREReZVV8sBRGpFW3JXW2jZa6fdv5YXVEREQnBbul3GPLaKlW0zi38uDBAzuqJyIiOnZUR0p1EhTRAVuCm2ZrSbUjnU7bUT0RERFRjS3dUl/60pewsbEh2qZcLqNQKOD69et2HEJL8Xj8yLl4iIiI7MRuKffY0nJz7do1RCIR3Lt3D5Zl1T3y+XzT560urQqWyWS4rhUREXVdxfp4fSn5w+2jP9lsabm5f/8+fD4flpeXm/79vffeQzgcxvnz5+uef/vtt+2o/lCGYSCfzztaBxERUTNsuXGPLS03hUIBb7755qF/f+utt1AoFBqeT6VSdlR/qKWlJcTjcUfrICIiouOlazMUj46ONjynmojcjkKhgFgs1jSoatf7H34Cfl/7K33/ELLVnlVW+B5UWOl6V1xevmr1gHAlcZXVt09bsttVZfVtS2G1Z+k2py3Zys0AsC2s43tP5XU8K8rej/3/8X8mruOX/pf/TVT+b479SFzHH/3D/0C8zV9+T7Yi+rZCl4H0blTplfhrAdm7/fOTfymu47X/fklUfqf40+I6vvG1qHibf/FwpO2yO1366mPLjXtsablZW1s7sszq6qodVbXNMAzout7VOomIiKosC7Aqig/m3HTEluAmGAxidnb20L/fvHmzrQDILrlcDolEou3y29vb2NzcrHsQERF1gvPcuMeWtrmrV68iHA5jaWkJb7/9dq27yTCM2gR/3/rWt+yo6kgqLTZzc3P4nd/5HYeOiIiIiLrJto7HlZUVpFIpfOUrX4FpmrXnE4kE3n33XbuqOdLS0hJmZmZE28zOzuI3f/M3a//e3NzE2NiY3YdGREQ9pDqsW3VbUmdrVlU6nUY6na7l1ziZMNzM0tKSqDuqyu/3w+/3O3BERETUq5hQ7B5HUsa7HdQAgGmaKJfLDSuTExERuYHBjXtsC27u37+PmZkZrKys4MaNG7V5b9555x2Ew2G8/vrrdlXVVC6XQ6lUQjKZrHt+eXkZhmHUnk+lUhxFRURE5GG2BDcffPABpqamMDs72xBcXL16FXfu3MH9+/fxuc99zo7qmjoszyaTycA0TeWVy4mIiFSw5cY9tgQ3uVwOq6urCAQCAIBbt27V/X1qagq3bt1yNLghIiI6TqwOEooZ3HTGluAmFArVApvDlMtlO6oSK5VKrtVNRES9y7LUJ+PjJH6dsSW4OXfuXN2/m634XSqV7KiqbUtLS8jn81hYWIBpmojH4wgGg+yeIiIi8jhbgpv3338f0WgUZ8+eBQD4fPXNabdu3Woa8DgpFoshFot1FMyYsDAkOO5dn+wcfQrrRA0qNFX2+WTbPIN83SepPoVz3xde30HheleqBoUTfW8prHl1Wngu31V4Dbd2ZetR/bN7f01cx/DVS6LyF3IL4jr+xph8NvS72f9QVP67H31CXIe0e+LlT5riOj7787IfkZ/9b74hrmM7f15U/g9+/y1xHfceaOJtHgveVzuW/D2owqr4YCl81lW3JXW2BDezs7O4cOECrly5gqmpKRiGgQcPHqBYLGJ+fh6GYeDevXt2VEVERHQiMKHYPbb8tA0EArh9+za+9rWvIRQKYWZmBhMTE4jFYggGgwxsiIio51RnKFZ9kDrb5rnRdR3Ly8tYXV1FsViEruu4cOGCXbsnIiIiaostwc17772HQqGA69evY3x83JUZiomIiI4TjpZyjy3dUvPz811PGCYiIjrOqjk3qg9SZ0twE41Gj1z5++7du3ZURUREdCIw58Y9tgQ3k5OTDbMSv2hxcdGOqoiIiIhasiXnZmVlBaVSCalUCpFIBJqm1U3st7a2hoWFBVy/ft2O6oiIiI495ty4x5bgZmZmBrquY3x8HGtra1hbW6ubkdg0TZimaUdVREREJwLnuXGPcnCzubkJwzAwPj6OyclJ3L59u2X5t99+W7UqIiKiE6eT3Bnm3HRGFNxcvHgRy8vL0HUdyWSy1lrTzhIHqVRK+SDdsg9LNOW/NIHJgrzdcV+4lAIACFctgMqqBcPSjRSaXP3CK7yvUMmQwskPCqdXr6i8hsI6VJLpngiv1+ae/Dz++Z/+rKj88N/5j8R1/Nw7fyjeJjqyJCq/8eeviuso/6ufEpUfv3hfXMf+L/5YVP5Hv/95cR13/+DfFZX/9vfOiuvYFm8BnBG8d6VLptDJIwpu8vk8UqkU5ubm6p4/akVwAJz7hoiIeoplAarLWDHnpjOi4EbX9YbAhoiIiBpZVgcLZ7JbqiOi4CYUCjU8d+PGDZRKpbqVwM+dO4dEIoGRkZHOj5CIiOgEqlg+VBSDG+bcdEYU3Dw/vLvq8uXLAA5yar761a9iZWUFn/vc52w5OCIiIiIp2xbO/K3f+i188MEHDGyIiIgAwFIaO1HbltSJUsZbrR8VCASg6/qhf79y5YqkKiIiohOtYnWyBIPbR3+yiVpufEcMYW3193K5LKmKiIjoRLM6aLnhaKnOiIKb+fl5rK+vY3R0tOnfC4VC0xaacrmMpSXZPBJEREREKkTBjWmaWFhYgKZph5aZn59vut1RrT5ERERewqHg7hEFN5FI5MhlFg7zxhtvKG3npj1Y8AkaFaWz9EpnnQWAPchnhBoWzsap0hxaETa+nrXkuew7Ptm5d2O2YQDYFZ77oMKHlnQ2631xDRDNxg0ATxTOw3gse92H//kviOso/xdB8Ta/9Lf/qaj88H/55+I6PqntisrvfV/+Htn4nyZF5f/fP/m3xHVIZxz+9o78fdgv3gJ4Ivh82FGdWU+oYkHhE/vjbUldx/PctCsajSpvS0REdNIw58Y9opD62rVryhVdvXpVeVsiIiKidtk2zw0RERF9jDMUu4fBDRERkQPYLeUeBjdEREQOYHDjHnkaOxEREdExxpYbIiIiBzDnxj0MboiIiBxgoYNuKTsPpAcxuGlhBP0YstqfTmpbPNGa/PYdUOhJlB6XX2Hyu2Hhr4wd4YRxAADhcZ1WOA+VCbcqwskFzygcl/Rq+ZUmiJTVsqNw/w4Jj+uHG35xHX0f/rR4G/z9XxEVH/4nW+IqAuc2ROW/9+1Pi+v4qw9fEZV/sqUwmWbF+WwGr+RLcBI/93jlHiIiIiICwJYbIiIiRxws4KO4tpTidnSAwQ0REZEDrA66pTgUvDMMboiIiBzAhGL3MOeGiIiIPIUtN0RERA7gaCn3MLghIiJyALul3MPgpoV+yC7QnnD/gwrZ8JrCHCmPhG+T9mf2+di+sLzKr5lh4bmfUbi+KsfVLzwuldddOqeM9PUAgGHhce0q1CH9wHmmcCI/MOVz4zz988+Iyg/75QfmH5R9Qmzvyj+en27Ltilvyd/t28JvXfmrofYZdE7wPtzuUkYGW27cw5wbIiIi8hS23BARETmA3VLuYXBDRETkgAo66Jay80B6EIMbIiIiB7Dlxj0MboiIiDwil8vBNE1omoZSqYRoNIpIJOLYPpwqCwCGYSAej+PGjRsIhUKic2BwQ0RE5IBud0slk0mEw2HMzMzUnovH4wDQdoAj2YeTZcvlMnRdR7FYbOu4X+SzLK5g8aLNzU0EAgEk8Q/gx+m2t9sSNiRu+eSX3itDwXcVzn3Qkg1VPtuloeDS170bQ8EHFOqQDtlVGQo+KCx/SmHtwNP98nvr7LDsDj6uQ8GfPJNts/bM+aHgKtMSqHwGSWzjKf4e/hY2NjYwMjJi+/6r3yG/IfwOeZ70GIvFIuLxOEqlUt3zhmEgHA5jfX3d1n04VfZ5pmlidHQUKysrbLmxk+8nj3b1C79QTgm/rAHgqUJPrPQLJeCTH9cT4WFpCue+JSw/pPDFuKYQ658Svu4q8374hHWofKFIjXRh0WKV8+hTOK69fdlGj5/KPzrLe0Oi8gMKQdqTXdmPH5VrJZ1/ReU22VbYRuV95bRuttxks9mmrTO6rgMACoXCka03kn04VdYunOeGiIjohCsUCtA0renfdF1HPp+3dR9OlbULW26IiIgc0M3RUoZhYGJiounfgsFgW7krkn04VdYuDG6IiIgcYEG9W6oa3GxubtY97/f74ffLO+HK5bLikajtw6my7fJkt1Qmk0EqlUI0GkU0GkWhUHD7kIiIqMdUOnwAwNjYGAKBQO0xNzfXUI9pmi2PQ9O0I8tI9uFUWTt5ruUmlUphdna21r9XKBQQjUaRTqfrhqAREREddw8fPqwbLaXSagPg0JwXp/bhVNl2earlJpfLIZlM1l2oSCSCdDqNVCrlSL8eERFRM1aHDwAYGRmpe6gEN3a0jEj24VRZCU+13JRKJSQSiYbnE4kEUqkU5ufnRWPlX/IBfsE4xqfCzlXp0GYAGFEYpr0jzExTiXilw837VcaHSufXUMjke1XhwHaFr/szheOSznPzaYXzkF4v6ZBgANgRlpfeVwDweE9hfiPh/FFDCsO0pdf32Y78nTjUJz0u+bUaFX5rPFEYz6/yuq8LpnGQvp9UdWsoePUHfatAIRgM2rYPp8rayVMtN5lMBslksuF5TdOgaRpbboiIqGusDv+TCIVCWFtba/o3wzAQjUZt3YdTZe3iqeAmEokc2ndXXc+CiIjIayKRCAzDaPo3wzDamiRPsg+nytrFU91Sh00EVL2oh0WH29vb2N7+eE7MF4feERERSXVzhuLp6WlMTU01PF8sFqFpWtOUjBd/9Ev24VRZu3iq5eYw2WwWmqY1zccBgLm5ubqhdmNjY10+QiIi8ho7EorbFQqFcOnSJeRyubrnU6kUFhcXG8qHw2GMjo7WtahI9uFU2ed1Mv+N5xfOLBaLmJqawp07dw6NDpu13IyNjeGLvn8Av6/9Rc+6kVD8kkIirjSheFihji1hHYMKdUjXrxqWV4GXFFbs60ZC8RMmFDtKutimSkLxjnD9qp2K/DWUJhTvKazxJr21VBKKVb6UZAnFT/GP8LcdXzjz1/H3MaS4cOYOnuJ/VzjGTCYD4CDXtFQqIRqNNu32SSaTKBQKWFlZaUjZaHcfTpVNpVIwTROFQgGGYUDX9bp1qtrh+eBmYmLi0EW7DlO9Mb88dBPDguDmsXDROpULrzLISPqB90z4IazizID87Le6cFwqr4k0eFQ5C2kwuKtwItK4TuVanRJW4lOoZV/hC1u6gORZhVXBpStwnx2Ud2hIP4P2FF5E6ZlrCu/1Rwoj3iQB6pb1FHP73gxu6ICncm5eFI/HkU6nHUlWIiIiasWCBcun1n7g8XYHx3k2uEmlUpienkYsFnP7UIiIqAd1M6GY6nkyoTiXyyEajTYENlxjioiIusWOtaVIjeeCm0KhUJd89DxO4kdEROR9nuqWKhaLyGazmJ6extLSUt3fDMPgJH5ERNRF8pmGn9+W1HkquJmamoJpmg2BTdVhk/wdZmuvD5av/cYt6aikQfE6MMBORd7YJh09ovKWko6gGFA491PC8iqjvlSGN0tHGUlHDAFAvzApcVRhpM2ucISKwjJn4uHQKu+RbYWRNn7h9X20LX8RpaOfVPJJz53eE5V/qnAefuF5SO8rAPApjCmUfM5VFEbUqWDOjXs8Fdysr6+7fQhEREQAPl5bSnVbUue5nBsiIiLqbZ5quSEiIjou2C3lHgY3REREDrB8Bw+lbWv/QyoY3LQwMryPYV/7qbLmliw5b0hh5kp/v/Px/KDCmjbShNc9hTp2hdtIp9QH5EnhAHB6SPaa7CkkOksTcVXqGBCul/RMONU/AJwSJqM+2pEnvI4IXw9AnoR8Zki+/II0sVZ6vwPAgPB171P4DOpG4rnK8iySaiqW1ZWmkYOWG7UIhS03nWHODREREXkKW26IiIgcwJwb9zC4ISIicgCHgruHwQ0REZED2HLjHgY3LQRHtnBKkJXqHxwS7X93vzspT4+Fic4qyf1bwnM5NSB/60qPS+V3z6AwqRYA9oWJn9LkYEA+U++ZYXnC6+NnsvvkrEIdUmcVEnelM+gCgGXJzn1bIZlamrwrTVQH5Melcq22hHWcVnk9dsWboE9wWAOWBcgmc6YThsENERGRAyqwOhgtxW6pTjC4ISIicgDnuXEPgxsiIiIHsOXGPQxuWlh/5Mcz33Db5fuFeREqE62d9ss7igckndEAhhX6+k8L34cqOQvS/ADp6wEAp4fl19d8LMu1GjklzyOR3iv9ffLXcKBf9poMKeRNSfOTLIWfvTt78nsr8JIsyWNX4f6V3o+Pnsk/nj+pbYnKP3k2KK7j3MiOqLylkBkrvRcB2QrnKiuu08nC4IaIiMgR6kPB2SfVGQY3REREDuBQcPdw+QUiIiLyFLbc2EjaR64yx8Sewtw40gURKwoL9vkHnZ/zRJrjMahwTOVNv3gbaR7JJ7VtcR27e7J5WJ5ty9/a2llZLoVKvsageOFX+XtEJddKmhciye+okh6XylxFT7dkr4lKfpL0ve5T+Qmt8HEiyhW0KoDsdlfChGL3MLghIiJygAX1zBmGNp1hcENEROSAis9CRTgzdW1bhjcdYc4NEREReQpbbloYHLAw5Gu/H1ea26Iyz41PYbZL6XFt7ajk9cgOTHpMADAsnOOnTyH3QiVfQzq3iPmo/bmTqoaHZOeuMo+H+Ug2X4/KfEh9wtddJW9qTyGPZECYzzVyWr740Y4wb0rlNRwakF0v6XpXALC9KzuPYb/z+XiALJ9rr0sT3TDnxj0MboiIiBzAnBv3MLghIiJyAFtu3MPgpoVT/l2c6mv/EpU3Zd0NKtPXq3QZnREuKaAyFPzZjqyp+iWFZQ5+vCG7vqeG5M3hgwPyDxTpUHCV7rL9iux1V+m+lHYzqXRpSIdcrz2SD833Dyp8KQiHBe8qdCmfPSXrynqkMNT+pWHnvxBHzsgulnR4OgBUFJbd2N5u/z2yZTHd1OsY3BARETmALTfuYXBDRETkAC6/4B4GNy18r3wKw77TbZcPnJZ1tajMcqrSnbPxRNYsrDIKZkjYnbOrMNOydEbnJ1vy66syK6x0dM7pYflIG2k3k8qq1Vs7so+DM8JuFkC+gvopv/xeVBkII55hW3itAGBQeP+ehfz6dqP7Utqtuqswes2n0OUp6X7vs/YB2SBHJVYHC2eqL7hJAOe5ISIiIo9hyw0REZEDrA5ybthy0xkGNy30+yz0C5pHpc3hKqOlpCNzAOClU7Imd5XunNPCibpUuuSeCZu3AwpdTJvCxU8BYFi6AKp83UxsC7uZVLrXtndl95Z/8Hg2/KpMEPlkS/a69yucunShUemEfID8vftUocuoLO3mVviceyQcfQkAwVPt37/blnz/Kio+S6mLDWBCcacY3BARETmgAkAhram2LaljcNPCTqUPfb72f9n0CefKGFT4hamyZIMp/DUXFCZGA8CAYOpzADgjX4EApy3nW6AkLXVV0lYVaWI0IF8WovxU/tb2C+uQTsMPyOfGkUypX6VyXNLXRKXlcXtfuGzBgLxVZVuYqH9G4V6Ufm5VFBogzioMalh71v717VbLDbmHwQ0REZEDKrDg4zw3rmBw08KAz8KA4JdmRfhjQzhqEwCwpTDE9+URWZLHRxvyWWHPKPzKlJIOW1WZqVbaAgUAj4R5Oip5U9KWBaUhvsJWlUcKrRd+4fXdVGiB2leY3XZQuPCrynBzae6J9PMEAD49+kxU/vFT2dB8AHgmnCVdmo8HAE8Ucm7OCt4jg1ZFPCu1Cg4Fdw+DGyIiIgew5cY9DG5a2Nr3wRL8BD4l/LGxJRydAgBP9hR+kgsnTttTeE9J14J5rHAe0sE5psIvs8Cgwpo2wpYYpXMXtthtKfzqf0mYS7GvcJ9IR7yp1KEyiGtX+F7cVri+fuFxnVIYZfSd8ilReUnLdNWe8L2+r5D7tqtwffcF60Vtc20pz2NwQ0RE5AC23LiHwU0LjyxgR3B/bQt/0ZxS+PEwpLDNhrCl4LRCHY+EdagMj9yQd92L+RRymjaEn0FBheu7I/wlO6RwgaUtUFsKn73SU/crnMeWwn0yLGxcEKboAFBo7VFZtkBY/pnC6EvpZ5BKHdsK95bkNVHZvwoGN+5hcENEROSAg3luVIMb6gSDGxuJf8kq3L2mwjCNEeHQGZWcm2fCbQSTidZIe+5VRgxJzwMARoT1SFoDq6THJR8DI29VUTmPM8JrtaHwHlHJpugT1mOq5NwIyz9RaIGSttiptL5J1xhVSGNTarGTnApnufE+BjctbAuH8QWE36aPVT5YFDp0fiyMol5SGKMu/RxWmZFcmh88pFCHfB1medLrlsIvuX7h666SiCv9wFe5VtJtVAIVlV+8PxTONDek8D6ULkKt0nW7Lvzxo3J994VH1o3uS6kujAIHAFg+QGHmh4Nt7T2UnsPghoiIyAEHeTPMuXEDg5sWHqOCQV/7vwN3hL9oBhR+m6nk1J4SDnt8ptSyILOrcO47wuPyKdSx3YUPFJWWhX3hcan88vULr9eewrWSJl+r/OjdUWgW7BcOBlB5j8iWm1Q7j13hcZ1RGBItPY/Hgs/QqtMKxyV570o/S1QxuHEPg5sWhuATNT8/FX5tDQnWrapSmbWyG02wQ8IPo3WfPEyTfsGXFb4cziisOSN9TVSCG2kdwwrhzUYXUhil3arS95RKHYC860Dlg/OpsPwThffIWeH9+0gh8JBSCbQ3FM5dcia7FtN1vY7BTQsbvn0M+tpfRFL6Ba/y4aXS2vNM2N7jV/g4kv5i3OyTZ2yctWS/GaXBEAA8FrzeVdJ8mEGF5QF2hYHavkJQIG2J2VUKPGT31rDCL3i1ry3p9ZWT3o9K73VhsPJSRR7MP+6Tnb1Kfp0KSVDbrSn89jtYfoEtN51hcNNCP3yiL6594btY5cvBUvjA6xNuIw1UAIj7D1S6NKRBmvSLFFALiIaEwcpGnzyAGhR+yVcU7i3pfaLy5Sv9oN9UuFYqX6bSc1Hp8pRS+QKWvncf98uvr/Q+UblUKq+h5PN319rrylhrdku5h8FNC499exhQ+CXfLpUv3w2fvMVD+oV9WqFrRtr1ddqS33q7wl+le1BphZG/JmWf7OzFXw4AIDz3HYVPbmkLVDe+fKXHBACDCt29W0ptMTLSgL4bwbnKF6hKUCulMsJIcu57XZpFhsGNexjctLDl28eAoOtI+ut6VyFw6lPo0pB+QTxT6S6TJi33yTOBlIICaR0qyz0LqbQOPRXeKypBgXNh/Mekr+G2QtChEjhvCe95lS+eYeGPBpWWXekPAJW7XToUXOV+V7l/Ja9Jt4Ibcg+DmxYqsERvGOkbUuWDW/rhBaj8IlcYZST88lXph+7GeVS6kCCgdFxdyIcZFo55U6lDeu4q3ZfSQAWQX1+V4Eaaz6U24k32Gkq7eoHutNyoOI5Hte+rwFJM2lbpWqaPMbhpYcu3h37BB9IT4YeXygekSlAgbd5WaR3aEb6BVb7gd4UfxCp1qHRLSV9H1QRDCZXzeCKcYu+UQgvJnjB4VOv6cr6LqRvvERUqwYq8DufvX5UASnJ195WmoJRjQrF7GNy08Ax76Bc01kubOgcUPrpVPiD7hO8RhQmKxSPFVM5jQPiFIv0iVakDkH8IdaPlRoU0z2FH4YtUWof0vgLUuhyk70WVFr7j+GWlktui8ppIqcw3JXlf7XelE/bgNVcNbrrxI8jLGNy08Ni3hz5BAq+02+SJwhtM5QPylE/2Mqt0N2wLuwKkzecA8EiYTK2SkClc3FxJN3IQVOqQ6ldYvEt6XNL7ClB7j0i3OaXw0Sl9X3UjGFJ5jzxzcJBFlVqra/vbVLrQwkXuYnDThPWTpNId6yn6BB9I+8LWiH6FX0BPFOaH2erCLy1x0rJCHYPChMxuNJ8D8tf9uAY3w8Jupm7MCaTyHlEhfQ0rCsd1HO+TbXENct1KKJbUY/1kpS/L4QEEe74t5VXBLV83Xh3vYnDTxKNHjwAAP9r7H10+EiIicsqjR48QCARs3+/Q0BBefvllfP/71zraz8svv4yhoSGbjqq3+CynQ9cTqFKp4KOPPsLZs2fhe6HpfXNzE2NjY3j48CFGRkZcOsLewGvdPbzW3cNr3T2HXWvLsvDo0SO88sor6OtzpnVwa2sLOzudLX4zNDSE4eFhm46ot7Dlpom+vj68+uqrLcuMjIzwg6lLeK27h9e6e3itu6fZtXaixeZ5w8PDDExc1K0lNoiIiIi6gsENEREReQqDGyG/348vf/nL8Pv9bh+K5/Fadw+vdffwWncPr3XvYkIxEREReQpbboiIiMhTGNwQERGRpzC4ISIiIk9hcENE1CWGYcA0TbcPg8jzem4Sv1wuB9M0oWkaSqUSotEoIpGIY/uwo76Tyo5zz2QyWFtbQ7FYBACkUqmm+4hGowiFQkgmk9B1HYZhYGlpCWtra0in07acz3HW6bWWXj/e12rnXigUkE6nkUwmoWkagsFgQxld1xEKhQD09n1tGAbi8Thu3LhRux4S/JzucVYPSSQSVjabrXsuFotZ+XzekX3YUd9JZce5z8zMWOvr67V/5/N5C4CVTqcbyuq6bgGoe8RiMeXjP0nsuNaS68f7Wv3cZ2ZmGq7zi4/FxcVa+V68rxOJhBWLxWrXamVlRWkf/JzubT0T3KysrFi6rjc8XyqVLE3TbN+HHfWdVHacezabtUqlUsPz6XS66QfezMyMlc/nrWw2ay0uLjbd1ovsus/avX68rzs790QiURewv2hmZqbh3714X1uWZa2vrysFN/ycJsuyrJ7Juclms02bGXVdB3DQXGznPuyo76Sy49xLpVKt/PMSiQQAYH5+vu75c+fOIRKJIJFIIBaLNd3Wi+y6z9q9fryvOzv3iYkJaJrW9G+ZTAazs7N1z/Xqfd0Jfk4T0EMJxYVC4dAPFV3Xkc/nbd2HHfWdVHaceyaTQTKZbHhe0zRomlbLwel13b7PeF9rTf/W7rlXg/Nm+w6FQofun9rHz2kCeii4MQwDExMTTf8WDAbb+rKU7MOO+k4qO849Eokc+qFTTfw77G+FQgGGYbR7uCea3ffZUdeP93Vn537YfZvP51smsPbafd0Jfk4T0EPBzVHK5XJX92FHfSdVO+eez+ebjgapfrhHo9G659fW1pDJZLC8vIzJycnaSIte1+59Ztf1430t16w7qor3tf34Od0beiK4OWpeCU3Tjiwj2Ycd9Z1UTp97NpuFpmlNm/cTiUStxScSiSAajTYEQV5i97U+6vrxvj6c6rkbhoG1tbWW3VG9dl93gp/TVNUTwU077Ojrluyjl/vWVc+9WCwil8vhzp07DX9Lp9MN+00kEigUCj3dtNzutbbr+vG+lkmn05ienm75d97X9uLndG9gcIOjI3i799HLvwY6Ofd4PI7FxUXRhF6apjWMrOoVdtxnkuvH+1puYWFBaYK6Xr6vO8HP6d7RE8FNNfpudbM2mylUdR921HdSOXXu8Xgc6XRaPGtodVZXL+rGffb89eN9be+5Ly0tKV8vL9/XneDnNFX1RHADAKFQCGtra03/ZhhGW33Ykn3YUd9JZfe5p1IpTE9PIxaLNf17OBxGKpVq+jev//qy41pLrh/va/vOPZ/Pt5y3ppfv607wc5qAHgpuIpFIy+Gt7bQISPZhR30nlZ3nnsvlEI1GGwKb5yfXMk0Tr732WtPty+XyoX/zAjuuteT68b6279xbzbEC9PZ93Ql+ThOA3llbamVlpel02oc9b1lWwzTpkn2o1OcVdlxryzpYS+qw9V2eX1+q2VpT1e0BeHrKejuuteT68b7u/L6uAmAlEolD/97L97Vltb/8Aj+nqZmeCW4sq/kCaZFIpOkXaCgUavoBItmHpKzXdHqtV1ZWrFgsZi0uLjY80ul03b5LpVLDmjzr6+uWrut1ixB6VafXWnr9eF939hlSdVRw0+v3dalUOjK44ec0HcZnWZblTpuROzKZDICDZLJWS9snk0kUCgWsrKw0NB23uw9pWa/p5FqPjo62zCt4cUZX0zQxNzdX+//lchmzs7NKI1FOok7va+n1433d2WcIcHCPp9PpQ5dkAHrzvk6lUnUzMuu6Xru+2Wy2riw/p+kwPRfcEBERkbf1TEIxERER9QYGN0REROQpDG6IiIjIUxjcEBERkacwuCEiIiJPYXBDREREnsLghoiIiDyFwQ0RERF5CoMbIiIi8pQBtw+AiJrLZDLI5/O11aMvXbpU+1u5XAYABINBpNPpuqnnDcNAMpnE8vIyEokE0ul0tw+diMhVXH6B6Jjz+XxIJBIN6+oAQC6XQyqVwuLiYsNaOOFwGJFIhMENEfUcttwQHXPNFl2sSiQSWFlZQTwex+rqal1ZXdedPzgiomOIOTdEJ1w8HodpmlhYWHD7UIiIjgUGN0QnXDAYBACUSiWXj4SI6HhgcEN0whmGAQCIRqMuHwkR0fHAnBuiE25ubg6RSKQhobjKMAwUCgUAH7fuNEsyfr6caZpYW1vD7OxsQ85PsVjE8vIygsFgbdSWaZqIRCIIhUK1f8/NzeG1115DuVzGysoKkslk7e9ERE5icEN0ApmmieXlZaTTaUxOTjYdSQUcBCzFYhGJRKL23MTEBCYmJuqeM00ThUKh7rmlpSWEw+G67i7DMJDNZhvqi0ajteDKMAxEo1GsrKzUAiPTNDE+Po47d+4wwCEix3EoONExNzo6Cl3XMT09Xfe8ruuIRCKHjqaKx+MoFosNuTjJZBLlchmLi4u155aWlnD58uWGEVejo6O4ceMGYrFYrdy9e/caWn4KhQKCwSBCoRDC4TCmp6cxMzNTV6Y6b08+n5deAiIiEbbcEJ0Ak5OTDcFCO5q1kmiaVsvTeb7cpUuXGgKl57uequXi8TgAYHp6urb/yclJAB+3FN24caOhXl3Xsby8LD4HIiIpBjdEHlYdSXUUXdfrupoMw4BhGHWBTbVcPp9HMplEJpOBpmm1iQJ1Xa/l7BQKhYYACkDToIeIyG4MbogIwEFAsri4iImJCUQiEUxOTjYNjiKRCEqlUq2VZn5+HhMTE1hZWalNHBiLxTiJIBG5hsENESGTyWBubq4h5+bFbqpcLodIJAJd12uPWCxW276ax1MsFhncEJFrOM8NEWFubq7psO/nu5ZyuRwA1LqenpdIJGCaZu3/z8/PN60nk8nYc8BERC0wuCE65kzTbMh9aXc7yfNra2t1/y4Wi7UuqOel0+mGfRQKBSSTSQBANpuFYRhYWlpqKMNh4ETUDRwKTnRMZTIZ3Lt3D0tLS9A0DZcuXUI8Hj90sr4qwzCQTqdra01dunSpNnQ7lUphYWEBpmkikUgglUpB13UYhoFUKoVgMIhoNApN02rdSslkEtFoFLFYDIVCAZOTk3UtOuVyGcFgsDZcvCqVSgE4mFcnGAxC13UGN0TUFQxuiIiIyFPYLUVERESewuCGiIiIPIXBDREREXkKgxsiIiLyFAY3RERE5CkMboiIiMhTGNwQERGRpzC4ISIiIk9hcENERESewuCGiIiIPIXBDREREXkKgxsiIiLyFAY3RERE5Cn/PxfaN7ZNYqr3AAAAAElFTkSuQmCC", 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", 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", 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamical_psd_fit = FitTwoD()\n", "dynamical_psd_fit.set_data(dynamical_psd,dynamical_psd_err,column_grid=phase_grid,row_grid=freq_grid)\n", "\n", "dynamical_psd_fit.plot_data(x_name=\"Phase\",y_name=\"Frequency (Hz)\")\n", "\n", "dynamical_psd_fit.ignore_rows(4,5)\n", "dynamical_psd_fit.plot_data(x_name=\"Phase\",y_name=\"Frequency (Hz)\")\n", "\n", "dynamical_psd_fit.ignore_columns(0.2,0.5)\n", "dynamical_psd_fit.plot_data(x_name=\"Phase\",y_name=\"Frequency (Hz)\")\n", "\n", "dynamical_psd_fit.notice_rows(4,5)\n", "dynamical_psd_fit.plot_data(x_name=\"Phase\",y_name=\"Frequency (Hz)\")\n", "\n", "dynamical_psd_fit.notice_columns(0.2,0.5)\n", "dynamical_psd_fit.plot_data(x_name=\"Phase\",y_name=\"Frequency (Hz)\")" ] }, { "cell_type": "markdown", "id": "a293d6e9-9510-48a1-b4a1-22a7a0edce79", "metadata": {}, "source": [ "We can now define a model to fit our data - conveniently, we will re-use the same function we used to fake the data in the first place. \n", "\n", "When defining multi-dimensional models like this, we have to be extremely careful to ensure the rows and columns actually end up in the right bins. In this case, we need to transpose the output of the `two_lorentzians` model function in order to be compatible with the data - this is due to a quirk of how numpy flattens the arrays once they are imported in the fitter.\n", "\n", "We also need to make sure to specify that in our model, the independent variables are `x_axis` and `y_axis`, which need to be in the model definition in order for the fitter object to use the appropriate grids. \n", "\n", "Once we have set up our model and parameters, we can quickly compare the model and data with the `plot_model` method:" ] }, { "cell_type": "code", "execution_count": 5, "id": "729dcea2-fc04-4b42-aebb-8a3d4e5e0e02", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " - Adding parameter \"peak_1\"\n", " - Adding parameter \"peak_2\"\n", " - Adding parameter \"q_1\"\n", " - Adding parameter \"q_2\"\n", " - Adding parameter \"rms_1\"\n", " - Adding parameter \"rms_2\"\n", " - Adding parameter \"mod_norm\"\n", "Name Value Min Max Stderr Vary Expr Brute_Step\n", "mod_norm 1 0 3 None True None None\n", "peak_1 2 0 10 None True None None\n", "peak_2 5 0 10 None True None None\n", "q_1 0.1 0 1 None True None None\n", "q_2 3 1 10 None True None None\n", "rms_1 0.1 0 1 None True None None\n", "rms_2 0.1 0 1 None True None None\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#the transpose here and above are necessary to avoid mixing rows and columns\n", "def twod_lorentzians_eval(x_axis,y_axis,peak_1,peak_2,q_1,q_2,rms_1,rms_2,mod_norm):\n", " model = twod_lorentzians(x_axis,y_axis,peak_1,peak_2,q_1,q_2,rms_1,rms_2,mod_norm)\n", " model = model.T\n", " return model\n", "\n", "two_lorentzians = LM_Model(twod_lorentzians_eval,independent_vars=['x_axis','y_axis'])\n", "dynamical_psd_fit.set_model(two_lorentzians)\n", "\n", "start_params = two_lorentzians.make_params(peak_1=dict(value=2,min=0,max=10),\n", " peak_2=dict(value=5,min=0,max=10),\n", " q_1=dict(value=0.1,min=0,max=1),\n", " q_2=dict(value=3,min=1,max=10),\n", " rms_1=dict(value=0.1,min=0,max=1),\n", " rms_2=dict(value=0.1,min=0,max=1),\n", " mod_norm=dict(value=1,min=0,max=3),\n", " )\n", "dynamical_psd_fit.set_params(start_params)\n", "dynamical_psd_fit.model_params.pretty_print()\n", "dynamical_psd_fit.plot_model(x_name=\"Phase\",y_name=\"Frequency (Hz)\")" ] }, { "cell_type": "markdown", "id": "019f8d0b-c989-4f26-a5f1-edb9950fcc9c", "metadata": {}, "source": [ "Now that our data and model are defined, we can simply optimize the likelihood function (which by definition is the chi squared statistic, but can be set to any likelihood the user wants, as is the case for all other fitters) and re-plot the model against the data:" ] }, { "cell_type": "code", "execution_count": 6, "id": "932821a0-76bc-4d02-89f7-e34dffd6b1e9", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-----------------------\n", "[[Fit Statistics]]\n", " # fitting method = leastsq\n", " # function evals = 81\n", " # data points = 1500\n", " # variables = 7\n", " fit statistic = 1500.1869632947391\n", " reduced statistic = 1.0048137731378024\n", " Akaike info crit = 14.186951643949245\n", " Bayesian info crit = 51.37949435358135\n", "[[Parameters]]\n", " peak_1: 0.99788167 +/- 0.00236874 (0.24%) (init = 2), model_value = 0.9978817\n", " peak_2: 5.00050288 +/- 0.00327420 (0.07%) (init = 5), model_value = 5.000503\n", " q_1: 0.10097227 +/- 0.00244989 (2.43%) (init = 0.1), model_value = 0.1009723\n", " q_2: 4.94913322 +/- 0.04376318 (0.88%) (init = 3), model_value = 4.949133\n", " rms_1: 0.01993095 +/- 1.7319e-05 (0.09%) (init = 0.1), model_value = 0.01993095\n", " rms_2: 0.00998931 +/- 2.8485e-05 (0.29%) (init = 0.1), model_value = 0.009989306\n", " mod_norm: 2.00842015 +/- 0.00449490 (0.22%) (init = 1), model_value = 2.00842\n" ] }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "dynamical_psd_fit.fit_data()\n", "dynamical_psd_fit.plot_model(x_name=\"Phase\",y_name=\"Frequency (Hz)\")" ] }, { "cell_type": "markdown", "id": "5118c7f7-b759-4e90-8bf9-1d474d8795cf", "metadata": {}, "source": [ "## Time-resolved spectroscopy\n", "\n", "Having an energy-dependent model is the same, except we need to use a response matrix. In this case, we will simulate and fit a pulse profile, using a black body with a constant temperature, and a normalization which varies over a phase.\n", "\n", "First, we begin by loading in the NICER response matrix, and rebinning it to down to 40 channels (for which we need to specify 41 channel edges, which we do in `rebin_bonds`):" ] }, { "cell_type": "code", "execution_count": 7, "id": "fc53b888-49f8-41f9-afc1-4e5e0ca6e4fb", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Arf missing, please load it\n", "Arf loaded\n" ] } ], "source": [ "#now do the same but with energy dependent stuff\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)\n", "\n", "rebin_bounds = np.geomspace(0.5,10,41)\n", "rebin_bounds = np.append(np.min(nicer_matrix.emin),rebin_bounds)\n", "rebin_bounds = np.append(rebin_bounds,np.max(nicer_matrix.emax))\n", "rebin_bounds_lo = rebin_bounds[:-1]\n", "rebin_bounds_hi = rebin_bounds[1:]\n", "rebin_response = nicer_matrix.rebin_channels(rebin_bounds_lo,rebin_bounds_hi)" ] }, { "cell_type": "markdown", "id": "3b367b89-321f-4f2f-820a-e3c24319fbc5", "metadata": {}, "source": [ "As before, we need to simulate the data. Note that it is common for energy-dependent models to provide fluxes in units integrated over each bit, so we have to do the same for our dataset as well. As before, the size of our model is numer of rows times number of columns - so here, that is 3451 energy bins (from the NICER response) times 30 phase bins" ] }, { "cell_type": "code", "execution_count": 8, "id": "3bbbe971-05f0-4f68-b1b7-8d7c78db1cd0", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(3451, 30)\n" ] }, { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def pulsing_bb(ear,x_axis,norm_bb,kT,norm_mod):\n", " var_norm = sin_wave(x_axis,norm_mod,norm_bb)\n", " energ = 0.5*(ear[1:]+ear[:-1])\n", " model = np.zeros((len(x_axis),len(energ)))\n", " for i, phasenorm in enumerate(var_norm):\n", " bb_array = np.array([phasenorm,kT])\n", " #the np.diff(ear) is the bin width, so we are effectively integrating\n", " #over each energy bin here\n", " model[i,:] = models.bbody(energ,bb_array)*np.diff(ear)\n", " model = model.T\n", " return model\n", "\n", "ear_bins = np.append(nicer_matrix.energ_lo,nicer_matrix.energ_hi[-1]) \n", "energ_bins = 0.5*(nicer_matrix.energ_lo+nicer_matrix.energ_hi)\n", "\n", "const_norm = 1\n", "ktbb = 1\n", "modulation = 0.3\n", "\n", "model_varbb = pulsing_bb(ear_bins,phase_grid,const_norm,ktbb,modulation)\n", "\n", "print(model_varbb.shape)\n", "\n", "#test plot in 1d with errors\n", "fig, ax1 = plt.subplots(1,1,figsize=(6.,4.5))\n", "ax1.errorbar(energ_bins,model_varbb[:,0]*energ_bins**2)\n", "ax1.errorbar(energ_bins,model_varbb[:,10]*energ_bins**2)\n", "ax1.errorbar(energ_bins,model_varbb[:,20]*energ_bins**2)\n", "ax1.set_xscale(\"log\")\n", "ax1.set_yscale(\"log\")\n", "\n", "#test plot in 2d\n", "renorm_bins = np.diff(ear_bins).reshape((len(energ_bins),1))\n", "\n", "fig, ax2 = plt.subplots(1,1,figsize=(6.,4.5))\n", "ax2.pcolormesh(phase_grid,energ_bins,model_varbb,cmap=\"plasma\",shading='auto',linewidth=0)" ] }, { "cell_type": "markdown", "id": "74e0b90c-8e10-42a4-8424-504be19cb63b", "metadata": {}, "source": [ "We are now going to fold our model through the rebinned response, which will leave us with 42 channels times 30 phase bins. Note that we always have to add two channels to the binning we chose at the start: from the very start of the response to the start first bin we specify, and from the last bin we specify to the end of the response. This is necessary in order for the folding to be calculated correctly, and is taken care of automatically in nDspec. " ] }, { "cell_type": "code", "execution_count": 9, "id": "2a5b7fd7-b2e9-4372-9fad-dcd873932730", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(42, 30)\n" ] }, { "data": { "text/plain": [ "Text(0, 0.5, 'Channel energy (keV)')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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OlpxEb9BT3XDzgmSTQa6DCPYIJsgzSPnTI4gh7kMY7DqYwa6D8Xb2tuoi5cq6SvZc3MO3Bd/ybcG3FFwtMD/n4+zDfaH3sWj0IkLVHd9Gn5Nv4KFXdmI0wltPzOBWDsA7i5VF4E9uU9pXCCHaJIlNHyKLhwewuio48oGS0BTsu3bcfwJE/BimxINL618LVbUN7Dh5mS1HLqI9dony6msjCd6ujkSPH8KdE4cwZ9QgPHq4+F1RVRHHio9xtOgoR4uOcqzoGOcrzrd4rrO9M6PUoxjtM5pR6lGM8BpBsEcwQz2GdnlaxxqMRiO5Zbl8qv+UD099SGFVofm5qYOnsnj0YhaMXNChj+l3Hx/hP7vyGO7rxpb/ug3XzYnKIvGAybD8K2m3IEQ7JLHpg2TEZgAx5CvJTPYbSuNJUHY1TXgAIp9Qas20MirR2Gjku9wiNmUX8PmhC806WQ/2dGbBxCHcNTGQmRpfHO17ptBbWW0Zh68c5tDlQxwuOsyxomNcqrzU4rnBHsGM9R3LGJ8xjPYZzWj1aIZ5DsPezraK9NU31rPr/C7eP/k+O87toMGo/L+4Obhxd8jdLB23lLG+Y1t9/dWaemJe3sGF0mp+Mi+U52/1g39GQLUBYn4Pc57ppY9EiP5JEps+SBIbG2c0wpmd8P1ryg4n084m72EQ8ThM/xF4+Lf68tOF5WzKLuDD/QXNassEqV25e1IAd00KIGy4j8W3Ydc11HGy5CQHrxzk8JXDHLx8kLyyvJvOU6FihNcIJvhNMD/G+o7Fy2ngfS1fqbrCR6c/YtOpTZwtP2s+HjEkgmXjl3HHsDtwsLt5BEZ79BJPvpmFvZ2KzT+by4RLH8NHTyvVoqc+DL4h4BNy7U9ZWCyEmSQ2fZAkNjaqtlKZUtiT1rzuTMhtMPMnMOYuaGX0ouhqDZsPnGfT/gIOnru2I8jLxYF7pw5l0fQgwkf4WHTNSW1DLQcuH2Dvxb3subiHQ5cPUdtYe9N5wR7BTB48mcmDJjPRbyJjfcfi7uhusThsgdFoJOtSFu8df49tZ7eZR3EC3AOIHxvP4tGL8XFpvqvtp+/s47NDF5ka7M2mp27B/p2HlF5fLXEf3JToaGDwWPAfD4PHKQvNpS2DGGAksemDJLGxIaYu2gc3wP63rk03mX7znpEAQya08lIjWWdKeGv3GT4/fKFZ5+jbxw5mUVgw88f5W6zfUl1jHUeuHGHPxT3subiHnMIcahpqmp3j5eRlTmJMjxvfkEXbLlZcJP1EOhtPbqSkRvl6cLZ3ZmHIQn4w/gfmaarCsmqiXt5BeXU9/3vfBB6fEaiswyrWQXEulOQqf1YVt34zR7emRGeCkuj4T4DhM8HZszc+VCGsQhKbPkQWD9sIoxEKjylvQkc+gKJT155TD1eSmek/bLXuzNWaej7YX8Dbu89w4tK1bc+Tg7xZFBbEfVOHMsjD2SKh5pfl8+15ZVdP1sUsKuubbwf3dfFlZsBMIgMjiRwSyQivEdIuwUJqGmr4IvcL3jn2DseKjwFgp7JjbdRa5gbNBeCd78/wmw8O4+ZkT+av5hGkdr35QtWl1xKdIp3SUqPwOFw5AQ03j7Bh56Cs3RoVDaNjlGRH/k+FDZHEpg+SEZt+6vIJOLxJSWaunLh23N5ZeQOZtqzN6abjF8t4+7szfJBdYF4I7OJoxwNTg/jhrBFMDvbudoiVdZVkXcri24Jv2Vmws9m6DwBvZ29mBMwgMiCSGQEz0HhrJJHpYUajkQOXD/DagdfYeX4nQ92H8sEDH+Dm6EZjo5ElqbvJOlNC1Dh/Xn80ouP/Hw31UKyHy8eURLvwmNKmoSSv+XmeQ5XGqKNjlFYcLt3/OhPCmiSx6YMksekHqkuVKaaLh+DiQcjfe0My46T8RjzxISWZaWWrdl1DI1uPXOKNXXnsybs2paAZ7M4PZ45gcXgw3q7dq/57/up5tp3dxtfnvmbfpX3N2gs42DkQ5h/GnKA53DL0Fsb4jMFOJWsyrKGyrpKHPnqI8xXneWTCI6yIXAHAqUvlLPz7N9Q1GFm7LIx7pgR270ZFOji9DU5nQu43UF917TmVPWjmweQ4GHdvmyUGhOirJLHpgySx6WPqqiF3B1w4oCQxFw/d/FsvKNu0R0UpyczYu9v8zbfoag3v7c3nrd1nuFim7Gyyt1OxYOIQfjhzBLND/bo1UpJbmsu2s9vIPJPJ0aKjzZ4L8ghiztCmNgCBM2Shbx/yzblv+Om2n2KnsuPde95lot9EAF7OPMnft51ikIczv4oZwwg/N4b7ujFU7Yp9d3a/1VXBmV1wWgunMptPmzq4KD2qJsfBqBhwdOnmRydE75DEpg+SxKaPMORD1r+VGjOVRTc/7z1MKZoWMBmGTFJ2N7XTfPJwQSn/2ZXHxwfOU1uvbPMe5OHEspkj+MHM4Qzx6tqbh9Fo5HjxcbRntWw7sw1dqc78nJ3KjjD/MOYPn8/coLmM9Bop00t92MqvV/J57ueM9x3Pu/e8i4OdA9V1DSz8+zfoL1c0O9fRXkWwj5LkjPBzY4SfO6P9PRgzxJMhXs6d/38u0ikVrw+mN09ynL2VbvGTY5WvcxurPSRsiyQ2fZAkNlZkNELu18qW7BOfXasx4xWk/EC/PpFx8+3QJavrGth69BJv7soj60yJ+fiUYG8enzOShZMDcXbo2htFflk+n+g/YbN+M/nl+ebjDnYOzAycSczwGG4fdjt+rn5dur7ofVeqrvDAhw9QVlvGcxHP8ejERwEoMFTx+jd68q5UcKa4knPFVdQ2NLZ6HS8XB8YM8WT0EE/GDlGSnTEBnh1beG40KqOThzYqiU7ZtXYR+I2CW59TRnKkCrLogySx6UNkV5QV1ZQrDSf3rGu+VibkNmUX05i7O/VDvLpOaXHw6cELaI9dorJpMbCDnYp7pgTy6C0jmT5M3aWRk9KaUrae2cpm3Wb2F+43H3exd2FO0ByiR0RzW/BtA7Ignq344NQH/HbXb3F1cGXT/ZsI9gy+6ZyGRiMXy6o5U1TB2aJKzhRXknelgpOXyskrqqShseUf16P9PZg3ZjC3j/UnMsSn/aS6sRHO7lZqMB3ZpKwvA6Vuzm3PKe0+7K3TBV6Ilkhi0wfJiE0vunJKSWZy3gVTR2lHd5i2FCKXg/+4Dl+qpr6Br09e4dOD59EeK+RqzbV+TUFqVxaHB3d5uqmusY6dBTv5WPcxO/J3mAvl2ansmBU4i3s19xI1PKpf9VcSrTMajTyx9Qn2XtzLnKFzeDX61U4lwTX1DegvK0nOyUvlnLh4lVOF5ZwtruT6n+KujvbcEurH7WOVRGeYbztfPzXlSguQXf+4Nj2rHg63PgtTl4FD73WHF6I1ktj0QZLY9LDGBji5RZlu0n957bjfKGV0ZurDHdryWl5dx/GL5Ry7UEb2mRK2HSuk/LpkZqi3CwsnB3LPlECmdXF05vzV82w8uZH3T71PcfW1XVOj1KO4P/R+FoYsZIj7kE5fV/R9eaV5LP54MbWNtay5dQ33aO7p9jVLK+v45vRldpy4zI6Tlyksb16AUTPInQWTAnhg2lDGBbTxs6e2Qll/tvNvUHFZOeY9DOb+UqnR5GCZOktCdIUkNn2QJDY9pLIYst+Evf+CUlP9FpWyg2nGcgi5vdXy85fKqjlyvpSj58s4cr6MoxfKOFNUedN5AV7Xkpnpw9Rd6tfUaGxkZ8FO0k+k83XB1zQ2rfPxc/FjoWYh94fez1ifsbIAeABIO5jGP/b/A18XXz564CPULmqLXdtoNHL0Qhk7Tl7mqxOX2XempNn01dghntw/bSj3Tx3a+khObSXs+w/s/CtcbWp+qh4OUf8LkxZL4T9hFZLY9EGS2FjY+RxluunwRqhvahrp6gNhj0DEE+AzosWX1TU0knlUqTHzfW7LZesDvV2YEOjF+EAvbh87uFvNJ0uqS/jg9AdknMjg3NVz5uMzA2fy8NiHmTdsHo52spZhIKlrqGPJJ0s4bTjNg6Me5Pdzft9j9yqrrmPHictsPnCer05cbrYwOXyED/dPHco9UwJbXnxcVwXZb8G3L0P5BeVYUAQs+CMMn9VjMQvREkls+iBJbCygvhaOfqRMN53bc+14wBSYmaj8NunYQnl64HJ5De/tOcs7358115ixU8Fof08mDPViQqAXE4YqyYyve/fXFBy+cph3j73Llrwt5rUznk6ePBD6AEvGLiHEO6Tb9xD9V05hDo98/ghGjLx+5+vMDJzZ4/csrazjiyMX+PjAeXbpiszrcuztVNw1MYCfR41qeaqqthJ2r4Vv/wJ1TVvTx98PMS8oDTqF6AWS2PRBkth0Q9l5yPo/ZXi8olA5ZucIEx9U1s8ER7Y4PG40Gtmfb+DNXXl8euhaw8lBHk4snTGcZTOHE+jdciLUFXUNdWw9s5V3j73LwSsHzccn+k0kfmw8d4XchauD5e4n+rc/fPcHNpzYwHDP4fxm1m8Y5jmMQPdAHOx6frv1pbJqPjl4gY9zCjhwXWd5U4IzcWgL69HKL8FXf1Kmfo2NyvfgjOVw24oOl0kQoqsksemDJLHpJKNRqZ66Jw2ObQajsrUaz0CI+DGEPQqeLS+wra5rYPOB87y5+wyHCq790J4+XM2js0dy9+SALteYacmVqitknMgg/WQ6V6quAOBo58jdIXezdNxSJg2aZLF7CdtRXlvOgx8+SGFVofmYg8qBQI9Agj2CGeY5THl4DSPUO5RhnsOw74EiescvlvHP7af59NAF8yhO9Pgh/CJqdMu9zC4dhcz/USobA7io4Y7fQOSTra5nE6K7JLHpQ6SOTSfVVigVUvesg8Ij146PmKP8djju3lbra5wrqeTt786yYe9ZSiqV3klODnbcP3Uoj8wewZRgtcXCNBqNHLpyiPXH1/NF3hfUNyo7pwa7DiZ+bDyxY2KlgJ5o17GiY7x64FXOlJ3hXPk587RlS5zsnNCoNYSqQxmlHmV+DPUYapFeYKculfPPL0+z+cB5TOuN54/z55mo0Uwbpr75Bae3wdb/ufZ9GnIbPPgqeN9cn0eI7pLEpg+SEZt2FOmUnU3734aaplEWRzeYskSpPRPQ8qiH0Whk5+ki3tidx7Zjl8w/kIPUrvxw1gjiI4dZZM2M6V4nS06yJW8LW/K2NOuiPW3wNJaNX0b0iGhZDCy6pNHYyOXKy+SX55sf58rPcab8DHqDnuqG6hZf5+bgRtiQMOYGzeXWoFsZ7jW8W3HoLl9l7fbTfJhT0CzBWXX3OEYP8bwh6AZli3jmb6GuUmnTcM9LMCWuWzEIcSNJbPogSWxa0NioDGfvSVO6Epv4hCijM9OWKTudWlBeXcem7ALe3J2H7rpeO3NHDeKR2SOIGj+ke40EmxiNRk4ZTrElbwtb87aSV5Znfs7F3oU7R97JsnHLmDhoYrfvJURrGo2NFJQXcNpwutkjtzS3WWd3gOGew5kbNJc5QXOIDIjs8rquvCsVrP3yNJv2F9DQaMTeTsXDkcP4r+gxDPa8YRfVldPwQQIU7FP+PWkxLHxR1t4Ii5HEpg+SxOY6VSWw/x2l2mlJbtNBFYyOURYDh0a1Old/urCcN3ef4f1956hoamng7mRPbHgwP5o9glH+ni2+rqOMRiOFlYWcKDlBTmEO2rNacktzzc872ztza9CtLBi5gNuCb5OqwMKq6hvr0Rl07Dy/k50FO8kuzDZPi4Ly9RoxJIKoEVHcOeJOvJ3bL1J5o9wrFaz5/Bhbjig1bTycHXjq9lCemBuCi+N1a34a6uGbl2BHsrImznMoPLgWQud3++MUQhKbPkgSG+DiIWXtzMF0qK9Sjrl4w/QfKQuC/UJbfFl9QyPbjhfy5u48dp6+1pE7dLA7j94ykoemB+Hp0vnpn/rGevJK8zhecpwTxSc4Xqz8WVJT0uw8Jzsn5gbNZcHIBcwbNg93R/dO30uI3lBRV8F3F75jZ8FOvi34lgsVF8zPOdg5MHfoXBZqFjIveF6nk/Lv9UX88bNjHGzaRTXU24UVd43lgalBzes8FeyDTQlQdFr598yfQPTvWi3FIERHSGLTBw3YxKahTtnVtGcdnN117fiQScp00+Q4cGo5USiuqOW9vWd557uzFBiURMhOpezYePSWkdwS6telSr1Hrhxh/fH1bD2zlSpTgnUde5U9Id4hjPUdy5yhc7hj2B14OHl0+j5CWJPRaERfquer/K/4Iu8LjhcfNz/n6uDK/OHzWRiykNlDZ3d4XVhjo5HNB8+T8sUJ8/fk5CBvfnvfBCJHXjftVFuprLvZu0759+DxsGxDq4UzhWiPJDZ90IBLbMovKXVnsv4NVy8qx+wcYPx9ynTT8NmtlmY/eM7AG7vOsPngeWrrlUqpPm6OPDxjOD+YOZxgn85P/9Q21LIlbwvvHX+vWY0ZNwc3xvqOZazPWMb5jmOc7zhC1aG4OHS+qaUQfZnOoOOz3M/4TP9ZsyrYamc1D416iEcnPtrhnXzVdQ38e2cur3yp42pNPSoVPDk3hGfvHNt8euqUFj76qdKawX0wLN0AweGW/tDEACCJTR80IBIboxHy9yiLgY9+BKZFje7+EPE4hD8GXkNbfGlNfQOfHbrAG7vOkJNvMB+fHOTNo7eM5N4pgc1/YHbQxYqLpJ9Ib9Zw0sHOgQUjF/Dw2IeZMniKRbbKCtFfGI1GDl85zGe5n/F57ucUVSvTuy72LiwZu4THJz3OINdBHbrWlas1/PmLE2zIygdgXIAnf4mfxvjA637GlRbAu/Fw6RA4uMLidcovOEJ0giQ2fZBNJzZ1VXBoo5LQXLw2GsKwmcrozPj7waHlLdfnDVW8+/1Z1u85S1GFUsPDyd6Oe6YE8sjsEV3qoG00Gsm6lMX64+vZfnY7DU3F/fzd/FkyZgmLxyzu8A9uIWxZfWM93xZ8S9rBNA5dOQQoC45jx8Ty40k/xt/Nv0PX0R69xPObDnLlai1O9nY8e+cYnrxVc21nYk05ZDzetPtRpfSbmvVTaagpOkwSmz7IJhObkrym2jNvKTudABxcYHKsUntm6LQWX2Y0GvlOX8ybu/PYevSSuftwgJcLP5w1nPjI4TdvJ+2AyrpKPtF/wvrj6zltOG0+HjEkgqXjlnLH8DukxowQLTAajew6v4tXD7zKgcsHAGXR/KLRi3hi8hMEuAe0e40rV2t4/v1DaI8pu6dmhPjyUtzUa13EG+rh8xXK9DQoPyPuWgP2Pd9CQvR/ktj0QTaT2DQ2gv5LZTHwyS+Api8f9XClpPr0H7Vau6Kipp4P9iu1Z05eumo+Pkvjy6OzRxIzYQgO9p2fFsorzWPDiQ18ePpDrtYp13V1cOVezb08PO5hxviM6fQ1hRiIjEYj31/8nldzXiW7MBtQpm5jR8fy1LSn8HVpuy6N0WgkI+scL2w+QkVtAx7ODvzu/oksDgtSRl6NRtj9T6ViMUYYvQBi/w3OsjhftE0Smz7EZloqVJdCznpll0PRtdEQQucr002j74RW+tjoL1/lre/OsDHrHOU1So0NV0d7FoUF8cjskYwN6HztmYbGBr4t+Jb1x9ez8/xO8/HhnsN5eNzDPDDqAbyc+uHnWYg+Yu/Fvbx64FX2XtwLgIejB09OfpIfTvghzvZtj6ieLarkV+k5ZJ1RRnIXTg7gxbipuDk1jc4c/UjZEl5fDQFTYFk6eAX26Mcj+jdJbPqgfjtiU3hMGZ058B7UNVX4dfZSqgJHPgmDRrf4soZGI1+dKOSN3Wf4+uRl8/GQQe78aNYIFocH4+3a+Wmh0ppSPjj1Ae+deI+CqwUAqFBxa/CtLB23lFuG3iKLgYWwoD0X9vBi1oscKz4GQKB7IL8I+wV3h9zd5vdaQ6OR13bo+EvmSeobjUwO8uZfj0Xg79m04zB/L6x/GCqvgFcwPPpxq7WshJDEpg/qV4lNQz2c+ExZDJz3zbXjg8fDjCdhSjw4tzzKYqisJT0rn7e+O0N+sVLnQqWC+WP9eeSWkdw6alDzYl4ddLz4OOuPr+dT/afUNNQA4OnkyaJRi4gfG88wr2Gd/ziFEB3SaGzkU/2n/C37b1yqVNbQTPKbxHORzxE+pO3t2/vOFLP8zX0UV9QSpHbl349FXhulLcmDt2Oh6BR4BsKjm1v9ZUkMbJLY9EH9IrG5ehmy31AW95UpoyGo7GDcPcp008hbW93FcLiglLd2n+HDnAJqmmrPeLs6Eh85jB/OHMFwv87XnqlrqEN7Vsv64+vZX7jffHysz1iWjV/G3SF3d7kPjhCi86rqq3j76Nu8fuh1KusrAYgaHsWvwn/VZvPNM0UVPP5/e9FfqcDT2YFXfxjO3NFNOxOvXoY37oPLx8BjCDz6CQyWdXGiOUls+qA+ndic26eMzhzZBA3Klmvc/JS6M+GPg7rl0ZDa+ka+OHKRN3flmefSASYEevHoLSO4f2oQrk6drz1TWFnIxpMbyTiZwZWqKwA4qByIGRHD0vFLmTZ4WpcqDgshLONK1RVeyXmF90+9T6OxEWd7Z34V/iuWjlva6vdmSUUtiW/tY09eMQ52Kv700GSWRDb9bKm4Am/cD4VHlLpXj24G/3G9+BGJvk4Smz6ozyU2ddVKIrMnDc5fGw0hKFwZnZnwIDi2XH33Ulk1735/lnf3nOVyuTIt5GCn4u7JgTw6ewThI3y6VHtmf+F+1h9fj/aMlnqjssh4kOsgloxZQuyYWAa7De7ShyqE6Bk6g441e9bw3YXvALhl6C38fs7vW61/U1PfwMqNB/ko5zwAT98RyrMxY5Xp6YoiePMBpZCf+2B45GMYMqHXPhbRt0li0wf1mcTGcFaZasp+EyqbGkraO8GkxUpdiVbKnRuNRrLOlPDGrjy+OHyR+qbaM4M9nfnBzOEsmzEcf6/OtyGoqq/iM/1nrD++nhMlJ8zHw/zDWDpuKVHDo3C0l9ozQvRVRqOR9cfX8/K+l6lpqMHLyYvfzv4tC0YuaPX8lzNP8o/tyu7K+6YO5c+xU5TK4pXFSnJz8aAyavzoZhgysTc/HNFHSWLTB1k1sTEaIXeHsrvpxGdgVNbA4BUMkT+GsEfBveVKvFW1DXyUU8Abu89w7EKZ+XjkSB8emT2SBRMDcHLo/C6k/LJ8NpzYwKbTmyivLQeUku73aO7h4XEPM85XhqGF6E/0pXpWfbOKo0VHAbhXcy+rZq5qtexCelY+v950iPpGI5EjffjXY5F4uTgqxT7ffBAu5ICrr7JbKmBy730gok+SxKYPskpiU1OubNPesw6uXBsNIeQ2ZbppzN2tVv08U1TBW7vPkJ6VT1m1Mi3k4mjHg9OC+NHsEUwc6t3pcBqNjew6v4v1x9fzzblvMDYV9wvyCGLpuKU8OOpBvJ07f10hRN9Q11hH6oFU1h1aR6OxkQD3AP4454/MCJzR4vk7T1/hJ2/to7ymnqnD1Lz54xlKGYgqA7z1EJzPBlcfeOQjCJzaux+M6FMksbEwg8FAWloaarUanU6HXq8nOTkZjUbT4Wv0amJz+STsfR1y3oWm0RAc3WHaUmW6qZVFeY2NRr4+dZk3duXx1cnLmL4yhvu68aNZI4iLCEbt1nLPp7aU1Zbx0emPeO/4e5wtP2s+PidoDsvGLWPO0DnYt1LcTwjR/+QU5vDrb39NfrnSHPPxiY/zi7BftPh9friglB/+63sMlXVMCfbmrR/PxNvNUSkK+tYiKMgCFzX8+AvwH9/LH4noKySxsbC4uDhiYmJISEgAIDExEa1Wi06n6/A1ejyxaWxQWhzsSQP9V9eO+41SRmemPgwuLY+GlFbVsXHfOd7anUdeUaX5+Lwxg3n0lhHMG+N/rZldJ5wsOcl7x9/jE/0nVNUrNW08HD14cNSDxI+NZ6T3yE5fUwjRP1TWVfLnrD+z8eRGAOYFzyPlthTcHG8u/XD0fBk/eP07SirrmBTkxdtPzFR+iaoug7cXwbm94D0MntSCZ/t9q4TtkcTGwuLi4vD19SU1NRWAlJQUkpKS6MynrscSm4oi2P8m7P03lJpGQ1Qw9m6YsRxCbge7ltfAHL9Yxpu7z/BBdgFVdUoHbE8XB+LCh/Gj2SMIGeTe6XDqGuv48uyXrD++nqxLWebjo9SjWDpuKfdq7m3xB5sQwjZtydvCb779DTUNNYz3Hc8/o/7Z4q6p4xfL+MG67ymqqGVCoBfvPDkTH3cnZUHxv2KUVi4BU+Dxz6W31AAkiQ2g1+uJi4tj3bp1hIWFtXpeWloaBoPBPM0UExNDdHR0m9eOiYlBrVaTkZHR4Xh6JLHZ/gfY+XdoqsSLqw+EPQIRT4DPiBZfUtfQSObRS7yxK4/vc4vNx8cO8eSRW0bw4LQg3J073233StUV3j/5Pukn0ymsLATAXmXP/OHzWTpuKRFDIqT2jBAD1IHLB3hm+zMUVxcT4B7A2qi1LTanPXmpnGXrvuPK1VrGBXjyzpMz8fNwhuJceD1aab8wKgaWviddwQeYzryH2txXRmJiIsXFxWg0GrKzs9s9Nzw8nJUrV5qPxcXFAbSa3KSlpaHRaMyjN1blolaSmsCpynTTpMXg2HIl3sLyat7bk8+735/lYlk1APZ2KhZMHMIjs0cyM8S3S7VnDl45yPrj69mSt4X6RmWRsa+LL7FjYokbE0eAuwwbCzHQTR08lbcXvs1PtT8lryyPRz5/hJfnvcwtQbc0O2/MEE/eS5jF0nXfc/xiOcvWfc87y2cyyDdEaZT5n3vgdCZ8+iu472+tVkIXA5vNjtgYDAZ8fHzYt29fiyM22dnZxMXF3bRORq/XEx4eTklJyU2vMY3u6HQ6kpKSrL94uMoAV05CcGSL3+BGo5Hsswbe3J3HZ4cuUNeg/FcP8nBi6YzhLJs5nEDvzrckqK6v5ou8L1h/fL15ayfAlMFTWDpuKXeOuBMn+84vMhZC2LbSmlL+68v/IutSFvYqe/571n8TOyb2pvN0l6+yNO07CstrGO3vwbvLZzHY0xmOfwrv/QAwQtRv4dZne/+DEFYhU1G0n9gkJiYCtDjy4uPjQ0ZGRqujNqY1NjqdrsPJTW/uiqqua+DjA+d5c3cehwuu1Z6ZPlzNo7NHcvfkAJwdOr8LqeBqAekn0tl0ahOGGgMATnZO3B1yN0vHLWXiICmkJYRoW21DLb/b9Ts26zcD8MSkJ3gm7JmbOoXrL19l6brvuFRWwyh/DzYkzFKmpb5Pg89XKCcteh2mxPX2hyCsoDPvoZ2vrGYjtFotarW6xec0Gg2ZmZmAkiCFhoai1WrNz5sSno0bN/Z4nJ2RX1zJ6s+PMWv1NlZuPMjhgjKcHOyIDQ/m45/N4YOfzuHB6UGdSmqMRiO7z+/mme3PsHDTQv59+N8YagwEugfyX2H/hTZOyx/m/kGSGiFEhzjZO/HHuX/kqalPAfCvw/9i5dcrqWuoa3aeZrAHGxJmE+jtwunCqyx/M4vqugaYmQCzf6ac9NFPIe/b3v4QRB9nc2tsOkqv1xMaGtric76+vub1OXq9nuLi4mbP6/V6gDYXJfcWo9HIt6ev8MauM2w7fslceyZI7coPZ40gPnIYvu6dnxa6WnuVj3Ufs/74evLK8szHZwXOYum4pcwLnie1Z4QQXaJSqfjptJ8S5BHE73b/ji15W6ipr+Gl219qNo09cpA7bz0xg8Wv7ib7rIFfbshh7bIw7GJ+r7SHOfYxvLcMnsiEwWOt+BGJvmTAJjbtMSUzYWFhLFmypNm01IYNG4iOjm5391RPy8jK59UdOvSXK8zH5o4axCOzRxA1fkiXas/oDDrWH1/PZt1mKuuVmjZuDm48MOoBHh77MBp1x9cVCSFEWx4Y9QCDXAfxiy9/wVfnvuKXX/2Sl29/GWd7Z/M5o/w9SftROD/61x4+P3yRP312jP++dwIsSoM3L0H+9/B2LCzfBh4tN98UA8uATGwMBkObz6vVavOoDEBycjJJSUn4+flRVFSEr69vu1u9a2pqqKmpMf+7rKysjbO7Rn+lAv3lCtyd7IkND+ZHs0cwyt+z09epb6xnx7kdrD+2nu8vfm8+HuIdwtJxS7lPcx8eTlI3QghheXOC5vCP+f/g59t/ztfnvuYXX/6Cv93xt2bJzUyNH3+Om8Iv3svh9W9zCfJx5fE5IfDweqXGTbEO3n8CfvQhyEjygDcgE5uOuH79jVqtJjk5uVOvX716NS+88IKFo2ruh7NGEOjtwkPTg/B06XwH7OLqYjad2kT6iXQuVFwAwE5lx+3Bt7N0/FJmBsyU2jNCiB43e+hs1kat5WfbfsbOgp08s/0Z/nbH33BxcDGf88C0IM4bqkn+4jj/75OjDFW7smBiACxdD2l3QO7X8NVqmP/fVvxIRF8wYBcPt6W9EZ2OWLVqFaWlpeZHfn5+9wO7QZDalUdmj+x0UnPkyhF+8+1viMmI4W/Zf+NCxQXUzmqemPQEny/6nL/N/xuzAmdJUiOE6DUzA2fySvQruDq4suv8Ln6+/efmViwmP5mnYdnM4RiN8Mz6/ew/W6Ksrbnvb8oJX/8ZTmVaIXrRlwzIxMY0GtNWAuPr69utezg7O+Pl5dXsYU21DbVs1m3mB5/+gIc/fZiPdR9T21jLBL8J/GHOH9DGafmv8P9iqMdQq8YphBi4IgMieTX6VVwdXPnuwnf8fNvPqay71r9OpVLx/+6fyB1jB1NT38iTb2RxpqhC2fId+aRy0qblYLD8L5Ki/xiQiQ0oi4KLiopafE6v1xMTE2OR+6xdu5YJEyYQGRlpket11sWKi/w9++/EbIzh19/+moNXDuJo58i9mnt5Z+E7vHfPezww6oFm89lCCGEt4UPCSY1Jxc3Bje8vfs/Ptv+sWXLjYG/HP5eFMSnIi6KKWh77v70UV9TCgj/B0OlQVQIZj0J9rRU/CmFNA7ZAX1JSEnq9vsVFwCqVqtXXdVVvFugzGo3svbiX9cfX82X+lzQYlQaX/m7+xI+NZ9HoRQxyHdSjMQghRHfkFObwE+1PqKirIHxIuHkkx6SwrJqHXtlFgaGK8BE+vPPkTFyunoPU26DaADMSYWGK9T4AYVFSoK8D4uPjmxXdM8nOzkatVveJGjWdVVlXyYbjG3joo4d4YusTaM9qaTA2EBkQycu3v8yWxVtImJIgSY0Qos+b5j+NtJg0PBw92HdpH89//TwNjQ3m5/29XPjP45F4ujiw70wJL2w+qjT/faipmvyeVDj8vpWiF9Zks4nNjUX1bmSqT5OWltbseFJSUqe6drenN6aicktzWbNnDVEZUfzh+z+gK9Xh6uDKkjFL2HT/Jv694N/EjIjBwU42wQkh+o8pg6fwSvQrONk5sT1/Oyl7U7h+kmH0EE/WLgtDpYL1e86yKfscjL0L5v5KOeHjZ+DKKStFL6zF5qaikpKSMBgMaLVa9Ho9Go3GXEivpb5QKSnKUKVarUan0xETE9Mjhfd6YipqZ8FO3jz6JrvO7zIfG+E1gofHPsz9o+7Hy8m6C5aFEMIStuRt4bkdzwGwImIFj0x8pNnzf9We5K/aU7g62vPh03MYO9gV3nwAznwLg8crxfuc3K0RurAQaYLZB/VEYvOH7/7AhhMbUKHituDbWDpuKbOHzr6pmZwQQvR3bxx5gxezXkSFipduf4mYEdc2eDQ0Gnns//bwzakraAa78/HP5uJRWwSpt8LVSzDlYXjoNZASFv2WrLEZIJaNW8ZjEx/j00Wf8s+ofzInaI4kNUIIm/TIhEdYOm4pRoys+mYVOYU55ufs7VT8NX4aAV4u6C9XkPT+QYwe/hD7b1DZwcH3IOcd6wUvepW8C/awnlxjo1FreDbiWYZ5DrP4tYUQoi9RqVQkRSZx+7DbqWmo4efbf86ZsjPm5/08nFn7g+k42Kn49OAF3tx9BkbOhTt+o5zweRKU5FkneNGrZCqql/Tmdm8hhLBVlXWVPLHlCQ4XHWaY5zDeXvg2vi7XCqr+69tcfv/JURztVaQnzmZ6sBf85x44uxuGz4bHPpV+Uv2QTEUJIYSwSW6Obvwj6h8EeQSRX57Pz7c1b73w4zkjuXtSAHUNRn727n5KqhqU9TVOHkpys+vvVoxe9AZJbIQQQvQrg1wH8Ur0K3g5eXHwykFWfbPKXONGpVKRHDuFkX5uFBiq+GV6Do3eI+DupkbG2/8IFw5aMXrR0ySx6WHWbqkghBC2SOOt4e/z/46jnSPbzm4j9eC1ch5eLo688oNwnB3s+OrEZV756jRM+wGMuxca62BTAtRVWzF60ZNkjU0vkTU2QghheZt1m/n1t79GhYpXo19lTtAc83PpWfms3HgQOxW88+QsZgcY4ZVZUHEZZv8MFvzRipGLzpA1NkIIIQaE+0LvI25MHEaMPP/N81ysuGh+bknEMOLCg2k0wrPpOZTZe8P9/1Se3P1P0O+wUtSiJ0liI4QQol9LmpHEeN/xGGoMPLvjWeoa6szP/e7+iQz3deN8aTW/++iI0nIh/DHlyQ9/ClUGq8Qseo4kNkIIIfo1Z3tnXr79ZTydPDl4+SAv73vZ/Jy7swN/iZ+KnQo27S/g04MX4M4/gk8IlJ2Dz1daMXLREySx6WGyeFgIIXpesGcwf5yjrJl5+9jbbM3ban4ufIQvP719FAC/+fAQl2ocYFFaU1XiDXB4k1ViFj1DEpse9vTTT3P06FH27t1r7VCEEMKm3TH8Dh6f9DgAv931W/JK88zPPRM1mklBXhgq61ix8SDG4Ei49VnlyU9+CWXnrRCx6AmS2AghhLAZz0x/hvAh4VTUVfDsjmfNxfucHOz4y5JpODvY8fXJy7z93RmYlwSB06DaAJ+tsGrcwnIksRFCCGEzHOwc+PNtf8bPxY+TJSf50/d/Mj83eognz989DoA/fnYMXXENPPgq2DnA8U/g+GfWCltYkCQ2QgghbMpgt8Gk3JaCncqOD09/yAenPjA/9+jskcwdNYjqukZ+tSGHukHjlJo2oIza1Fy1UtTCUjqV2MTHx/dUHEIIIYTFzAicwc+mKQnLH7//IyeKTwBgZ6fiz3FT8HJx4MC5Uv65/bQyJaUeruyS+mq1NcMWFtCpxEar1XLgwIGeisUmya4oIYSwjicmP8GtQbdS01DDqm9XUdNQA0Cgtyt/eGgyAP/88jT7L9bAwheVF333Klw8ZK2QhQV0qqWCnZ0dcXFxaDQaYmJimD9/fk/GZlOkpYIQQvS+oqoiFn28iOLqYh6b+BjPRjxrfu6Z9fv5+MB5Qga58+kzc3H74HE49jEER8KPt4KdrNboK3qspUJCQgIbNmxg9erVGI1Gnn/+eV588UXKysq6FbAQQgjRE/xc/XjhlhcAeOPIG+y9eK30xu8fmESAlwu5Vyr485YTSgdwJ084txf2/Z+1Qhbd1O0mmKWlpaSnp6PX62UUpw0yYiOEENbzu12/4/1T7xPoHsj797+Pp5MnADtOXubRf+/BTgUf/2wuk/LXwxdJ4OwNP9sLnkOsHLmAXm6C6e3tzfLly1m9ejU+Pj7mUZy8vLzuXloIIYSwiJWRKwn2COZCxQXW7FljPj5vzGDumzqURiP8+oNDNEQ8qdS2qSmFrb+xXsCiy7o9YtOadevWodPpmDFjBosWLeqJW/QrMmIjhBDWlVOYw6NfPEqjsZGX5r3EnSPvBKCwvJqol3ZQXl3PC/dP5NGRJbBuPhgb4UcfQKjMRFhbr47YtGb58uWsWrWK9957Dz8/P1atWtVTtxJCCCHaNc1/Gk9MegKA//fd/6OwshAAf08XVi4YC8Cft5zgksd4iFyuvOjTZ6Gu2irxiq7pkcRm+/btxMfH4+vry8aNGwkPDyciIqInbiWEEEJ02FNTn2K873hKa0r57c7fYpq0WDZzBFOHqblaU8//23wU5v83eAZCsR6+ecnKUYvOsFhiU1ZWxqpVq/Dz8yMmJobMzExWrFiBTqdj69atLF682FK36lekjo0QQvQdjvaOrL51Nc72zuw8v5MNJzYAYG+n4k8PTcLeTsWnhy7w5ZlquKtpLc63f4HLJ60YteiMTiU2LW3r3rRpEwsWLMDHx4fk5GTCw8NJT0+nuLiYNWvWEBISYrFg+yPp7i2EEH1LqDqUX4b/EoCXsl4itzQXgIlDvXn8lpEA/Pajw1SNuhdG3wmNdfDF89YKV3RSpxKb5cuVOce8vDzz6ExsbCx79+5lzZo1lJSUDOjRGSGEEP3D0nFLmRU4i+qGan79za+pa6wD4JcxYxjq7UJ+cRX/+PK0UtvGzhF02+D0NitHLTqiU4lNRkYGkZGRhIaGkpycTFRUFJmZmRQXF7NixQq8vb17Kk4hhBDCYuxUdvx+zu/xdPLkcNFh/n3o3wC4Ozvwu/snApD2tZ6TdYNhRtNC4szfQmODtUIWHdTpNTYlJSXm0Zn09HSioqJ6Ii4hhBCiRwW4B/Drmb8GIO1gGmfLzgJw58QAoscPob7RyG8+OETj3OfAxRsuHYYD71kzZNEBnUpswsLCOH36tIzOCCGEsAn3hNzDrMBZ1DbW8sfv/2jeJfXCAxNxc7Jnb14JG49Vwq3PKS/Y/nuorbRixKI9nUps4uPjeyoOIYQQotepVCr+Z9b/4GTnxK7zu/gi7wsAgtSu/DJ6DAB/+vwYRRMfBfVwKL8Au9daM2TRjk4lNitWrOipOIQQQgirGO41nOVTlHU0yXuSKatVdgA/Pmck4wO9MFTW8edtZyDqf5UX7PwrXC20UrSiPRarY5OTk8Odd96Jn58fmzZtMh//85//zPbt2y11GyGEEMLifjzpx4z0GklRdRF/z/47AA72dvzhQWUhcXpWPscHxUBQONReha9WWzNc0QaLJDb79+9n/vz5xMTEkJaW1uy5FStWYDQaycnJscSthBBCCItzsnfif2b9DwDpJ9I5ePkgAOEjfFk4OYBGI6z+/ATc+QflBfvegMLj1gpXtMEiiU1aWhq5ubmsWLGixRo2UVFR6PV6S9xKCCGE6BEzAmdwf+j9GDHy++9+T31jPQArF4zD0V7FjpOX+aZ2NIy7F4wNoP1fK0csWmKRxCYsLKzdXVLFxcWWuJUQQgjRY56NeBZvZ2+OFx/nnWPvADBykDs/mjUSgD9+eoyGqN+BnQOc/AL0O6wXrGiRRRIbPz+/Zv82bZe7nk6ns8St+h3pFSWEEP2Hr4svvwr/FQBrc9Zy4eoFAH4+fxSeLg4cv1jOpjMuEPFj5QVb/xsaG60VrmiBRRKbPXv2UF5ebv63SqVq9vymTZtaTHYGAukVJYQQ/cuDox5kuv90quqrWLNHaYTp4+7Ez+ePAuDFrSeomv0cOHvBxYNwKMOa4YobWCSxWbVqFdOnT+ell14iJycHvV5PXl4emzZtIj4+ntWrV7NmzRpL3EoIIYToUXYqO34767c4qBzYnr+dL89+CcAjs0cS7OPKpbIaXs8ug1uVkR22/T+oq7JixOJ6FklsvL292bp1K+vXrycsLIyVK1cSGhpKbGwsvr6+MlohhBCiXxnlM4pHJz4KwJ/2/InKukpcHO1Zedc4AF7boePyhMfBKxjKzsF3r1ozXHEdi9Wx0Wg0ZGVlodPpyMjIICsri8bGRl59VfnPLisrs9SthBBCiB6XODWRII8gLlZc5LWDrwFw35RApg5TU1HbwF935EOUskWcXX+Hanmf6wsskti8/vrr5r+HhISwePFipk+f3uycuLg4S9xKCCGE6BWuDq6smrEKgHeOvkPB1QJUKhW/WTgegPf25nPK/y7wGw1VJbAnra3LiV5ikcQmNTW1zefff/99tFqtJW4lhBBC9Jrbgm9jZsBMahtrzRWJZ4T4cueEITQ0Glmz5RTMW6mcvPufUFPextVEb7BIYlNSUsJLL73U4nNPPfWUjNYIIYTol1QqFc9GPIsKFZ/lfsaRK0cAeP7ucTjYqdh2vJBdrvPAb1TTqM06K0csLJLYqNVqTp8+3awnVE5ODqNGjTKvu+nvDTSTkpJISkoiLi6OxMREDAaDtUMSQgjRC8b7jee+0PsAeDHrRYxGI5rBHvxg5nAA/vTFSRpvfU45edc/oOaqtUIVWCixycrK4tVXX6WkpIScnByef/55wsPDSUxMZO/evYSEhPTr7d6JiYmsWrWK5ORkMjIyKC4uJioqytphCSGE6CU/n/5znO2dybqUxVf5XwHwTNRoPJ0dOFxQxkf1s8FXA1XFsFdGbazJYruiABYvXkxmZibvv/8+WVlZ/X6UBsBgMKDVapv1ulq1ahXZ2dlkZ2dbMTIhhBC9JcA9gB9N+BEAL+97mbrGOvw8nHnqjlAA/rI9l/q5Te95MmpjVRZNbEDp5p2QkEBoaGiz40899ZSlb9UmvV5PeHh4u8lHWloaKSkppKWlkZSU1OIi5+Li4maJjVqtNt9DCCHEwPDEpCfwdfElryyPTSc3AfDYLSMZ5OHE2eJKPjCN2lQWQda/rBztwOXQmZNffPHFDp1nmqqJj483H0tPTzfXtOlJiYmJFBcXo9Fo2k1qEhMTCQ8PZ+XKleZjpoXO0dHRgJLElJSUNHud6bqmc4QQQtg+DycPnpr6FH/8/o+8cuAV7tHcg4eTBwm3afjTZ8f55448FkU9i/3HT8POv0Pkk+Dkbu2wBxyVsRNNnHx9fdFoNPj6+ppHLTrCYDCwbds2GhoauhJjlxgMBnx8fNi3bx9hYWE3PZ+dnU1cXNxNzTlNIz03JjPXCw0NJTExsVlC1J6ysjK8vb0pLS3Fy8ur4x+IEEKIPqOusY5FHy0iryyP5ZOX80zYM1TW1nNr8pcUVdTy0uKJLN71AJTkQczvYc4z1g7ZJnTmPbRTIzYRERFs3bq1S0EtWbKkS6/rKampqS2OuGg0GgC0Wm2LzyclJREbG9uppEYIIYRtcLRz5Jfhv+QXX/6CN4++yZKxSwhwD2D5bRrWfH6cf3yVy4Pzn8N+88+UasSRT4KTm7XDHlA6tcamvUJ8bUlOTu7ya3uCVqttddRJo9GQmZl50/G0tDT8/Pz63McihBCi99wx7A7Ch4RT01DDP/b/A4AfzRqBr7sTeUWVfNQ4F9QjoOIyZP3bytEOPJ1KbEJCQrp8o+68tifo9fqbFjib+Pr63rQ+R6vV4uvrax6pMe2WEkIIMbCoVCqei1Dq1mzWbeZY0THcnR1Yfqsy4v+PHWdomPuscvLOv0FtpbVCHZA6lNjk5uby4osvkpeX18Ph9B3FxcXmv2dnZ5ORkYFarUar1aLValm9erV52koIIcTAMmnQJBaGLMSIkZeyXsJoNPLI7BH4uDmSe6WCzarbQD0cKgph3/9ZO9wBpUOJTUhICN7e3iQkJBAZGcmLL77Yr7t1t1c1WK1Wm88xGAxERUWRlpZGTEyM+ZGSktJmYlNTU0NZWVmzhxBCCNvxTNgzONo58v3F7/mm4BvcnR14smnU5u9fnqHx+lGbuiorRjqwdHgqavny5WzduhWtVou3tzfz588nMjKS119/3SbftE3rb0zbvY1G402PtqxevRpvb2/zY9iwYb0QtRBCiN4S5BHED8f/EIC/Z/+dRmMjj94yErWbI/orFWxWzQPv4XD1Euz7j3WDHUA6XaDP29ub5cuXk5WVhVarpaSkhPnz57NgwQKbSXIs0Qdq1apVlJaWmh/5+fndD0wIIUSf8sTkJ3B3dOdEyQm+zP8Sj+vW2vztqzM0zv2VcuLOv0NDnRUjHTi6VXnY29ubFStWkJWVxWuvvdYsydm0aZOlYrQ402hMWwmMr69vt+7h7OyMl5dXs4cQQgjb4u3szbJxywB47cBr5rU23q6O6C9X8Knd7eDuD+Xn4ehH1g12gLBYS4WQkJBmSY5OpyMiIqLPJjlhYWEUFRW1+JxerycmJsYi91m7di0TJkwgMjLSItcTQgjRtzwy4RHcHNw4XnycL/O/xNPFkSfnKjuB//rVGRojnlBO3P1P6HhNXNFFFu8VBTcnOXv27GHUqFHEx8f3mSQnOjq61V5Per3eYu0Snn76aY4ePcrevXstcj0hhBB9i9pFzbLxzUdtHp0zEi8XB3SXK9jqfi/YO8P5/XD2OytHa/t6JLG5XkhICGvWrOH06dM8//zzzZKc7du39/TtWxUfH99iHZrs7GzUanWLbRiEEEKIljwy4RFcHVw5VnyMHed24OXiaN4h9dK3RRinNPVO/G6tFaMcGHo8sbne9OnTmyU56enpzRplWtL1dWhaEhYWxpIlS0hLS2t2PCkpiYyMDIvFIVNRQghh+3xcfMxrbV7JeQWj0chjTaM2pwqvssMvVjnx+KdQnGvFSG1fp5pg9gdJSUnmqsB6vR6NRmOeVmqpJURKSgqgLCjW6XTExMT0SNduaYIphBC2raS6hAXvL6Cqvop/zv8n84bN46/ak/xVe4pxAZ587vdXVLptMPMpuHuNtcPtVzrzHmqRxCYnJ8f8d41Gg5eXFzk5OfzpT3+itLSUxMREFi1a1N3b9GuS2AghhO17ed/L/N/h/2Oi30TW37Oesqp6Zq3eRlVdA58urGHi9sfByQN+dRRcvK0dbr/RmfdQi0xFZWZmkpSUZJ7+yc3NJTw8nBkzZpCeno7RaOwzi4aFEEKInvLYxMdwdXDlSNERvin4Bm83R+IiggF4SRcMg8dB7VXIfsvKkdouiyQ2arWaLVu2MH/+fLy8vEhKSmLx4sU899xzeHt7s3jx4la3Vts6WWMjhBADh6+LLw+PfRiAV3NexWg08vicEFQq2H7iMoUTm7Z+f/8aNNRbMVLb1SOLh7VaLQ8//HCzY90teNdfyXZvIYQYWB6d+CiuDq4cLjrMtwXfEjLInahxQwBYWxQGbn5Qmg/HN1s5UttkkcTGz8/P/Pf9+/dTWlp603ZplUpliVsJIYQQfZqfqx9LxiwB4NUDyqjNE00F+zbkXKZq6mPKibtfsVKEts0iic3100wbNmxAo9EwcuRI87GysrJ2m0YKIYQQtuKxSY/hYu/CoSuH2Hl+J7M0vkwI9KK6rpH3uBPsneDcHsiX0XxLs0hiExERwVNPPcXzzz9PSkqKeVt1Xl4e69atIzw8nNDQUEvcqt+RNTZCCDHwDHIdxJKx10ZtAJ68VRm1eTXrKg0Tm+raSME+i7NYHZvc3Fyys7MJCwsjJET5z1u3bt21G6lUPPnkk5a4Vb8k272FEGJguVJ1hbvev4uahhpSo1OJGDKLucnbKSyv4V93ORP11WJQ2cEvDoB6uLXD7dN6vY6NaJ8kNkIIMfAk70nm7WNvE+Yfxht3v8E/t5/ixa0nmTjUi0+8/4wqdwfM/hks+KO1Q+3TLF7HJjc3lxdffJG8vDxLxCeEEEIMCI9PehwHOweyC7M5fOUwy2aOwMXRjiPnyzgR8iPlpOw3oabcuoHakA4lNiEhIXh7e5OQkEBkZCQvvvgiZWVlPR2bEEII0a/5u/lz98i7AXjz6Jv4ujuxKEwp2Pdy7gjwGw01ZbD/bWuGaVM6vHh4+fLlbN26Fa1Wi7e3N/PnzycyMpLXX39dkpw2yOJhIYQY2H40QRmZyczL5GLFRX48R1mHmnn8MkWTryvY19horRBtSqd3RXl7e7N8+XKysrLQarWUlJQwf/58FixYIElOC6RAnxBCDGzj/cYTGRBJvbGed4+/yyh/D24fOxijEV4tjgBnLyjJg9yvrB2qTejWdm9vb29WrFhBVlYWr732WrMkR3pDCSGEEIofjVdGbTae3EhlXSVPztUA8G5OETUT4pST9v3HStHZFou1VAgJCWmW5Oh0OiIiIiTJEUIIMeDNGzaP4Z7DKa8t5yPdR8wZ5ce4AE8qaxv4yCFGOen4p1B+ybqB2oAe6RV1Y5KzZ88eRo0aRXx8vCQ5QgghBhw7lR0/GP8DAN4++jZGjOa1Nn856ERjUCQ01kOOLCLurh5JbK4XEhLCmjVrOH36NM8//3yzJGf79u09fXshhBCiT3hw1IN4OnlytvwsO/J3cP+0oQzycOJCaTUHhjyknLTvDVlE3E09nthcb/r06c2SnPT0dOLj43szBCGEEMIq3BzdiB2jtFJ469hbuDja88NZIwD409lx4OwNhjOg/9KaYfZ7vZrYXG/69Om89tprbNiwwVoh9ArZ7i2EEMJk2bhl2Kvs2XtxL8eKjvHDWSNwtFex91w1RaGmUZv/s26Q/ZxFEpucnBzzw7TdOycnhyVLlgz4xcOy3VsIIYRJgHsAd468E4C3jr7FIA9n7pwYAMDb9fOVk058DuUXrRViv2eRxCYzM5OkpCSKi4sBpQVDeHg4M2bMID09HaPROKCTGyGEEMLkkQmPAPB57ucUVhbygxlKA8x1J1xoCJqhLCKWSsRdZpHERq1Ws2XLFubPn4+XlxdJSUksXryY5557Dm9vbxYvXkxRUZElbiWEEEL0a5MGTWK6/3TqjfW8d/w9Zof6MdLPjas19ez1u185KVsWEXdVj6yx0Wq1PPzww82O+fr69sSthBBCiH7HNGqTfjKd6oZqljaN2rxYMAFcvMFwFvSyc7grLJLY+Pn5mf++f/9+SktLCQsLa3aOSqWyxK2EEEKIfu+OYXcQ5BFEaU0pm3WbiQ0PxsnejqyCaq6ELlJOypJFxF1hkcTm+mmmDRs2oNFoGDlypPlYWVkZRqPRErcSQggh+j17O3tzwb63jr6Fj7sjCyYpi4jfqrtDOenE51B2wVoh9lsWSWwiIiJ46qmneP7550lJSSE1NRWAvLw81q1bR3h4OKGhoZa4lRBCCGETHhr1EB6OHuSV5fFtwbcsa5qOev24Mw3BM8HYIJWIu8Aiic306dNZuXIlkZGR6HQ65s9XtqxlZmYCsHLlSrKysixxq35H6tgIIYRoiYeTB4tGK9NObx19i1kaXzSD3KmobeB73weUk/a9CY0NVoyy/1EZe3COKDc3Fz8/P7y8vHrqFv1GWVkZ3t7elJaWyudDCCEEAAVXC7j7/bsxYuSThz5ha04Df/zsGGFDndlU+QRUG+AHG2F0jLVDtarOvIdaZMTmxRdfvOlYaWkpBoOBvXv38vrrr5OTk2OJWwkhhBA2I8gjiDlBcwDYeHIji5sWEWefr7m2iHjff6wXYD9kkcTm9OnTNx3z9vZm+vTpREVF8eSTTw7YqSghhBCiLXFj4gD46PRHeLjAXU2LiN+URcRdYpHEpiNbuXU6nSVuJYQQQtiU24Jvw9/Nn5KaErad3caymaZFxE7UB89SFhHvf8vKUfYfDp19wf79+9mwYUOzZEar1bJq1aoWzzcYDGRlZREdHd31KIUQQggb5WDnwKLRi3jtwGtknMzgX3feRehgd3SXK/je937mnPsOst+EW58DO6v1ru43urx4ODc3l40bN5KUlISPjw/h4eEtnqdWq4mJiWH58uXdCrS/k8XDQgghWnPh6gXu2nQXjcZGNj+4Ge3BRv7w6TGmBbrwQeVjqGrK4LHPYOQca4dqFZ15D+30iI1JSEgIK1asYPr06WzcuJHXXnutq5cSQgghBrRAj0DmBs3l63Nfs/HkRp4Ie4aULSfIuVBN8ZS78DuZDocyBmxi0xndHtOKjo4mJqb9bWh5eXndvZUQQghhs8yLiHUf4eZiZGHTIuJNdbOVE45+CPW1Voqu/7DIZN3ixYvbPSc5OdkStxJCCCFs0tygufi7+WOoMbDtzDaWzRwBwN90ATS6+0NVCeikMWZ7ujwVdaPXX3+dzMxMDAZDi89rtVpeffVVS91OCCGEsCkOdg4sHr2YVw+8SsbJDP694G5G+XtwuvAqJwbdyfiKt5XpqLF3WTvUPs0iIzbPP/88a9aswcfHh+nTp9/0CAkJQa1WW+JW/Y60VBBCCNFRi0Yvwk5lR9alLHLLclna1D/qteIw5YQTn0HNVStG2PdZbMSmpSJ9Ap5++mmefvpp84puIYQQojUB7gHcFnQbX537ivdPvs/ysF+Q/PlxPro8hD/7j8SpLE8p2Dclztqh9lkWGbHpSOduWWMjhBBCtC92TCygLCJ2dTZy+9jBgIq9nlHKCYcyrBdcP9BrlX46Up1YCCGEGOjmBs0lwD2A0ppSMs9k8sC0IAD+eXmacoJuG1QUWS/APs4iiU10dDSbNm1q85ykpCRL3EoIIYSwafZ29iwarTTA3HhyI1Hj/XF3smd3mR8VfpOgsV7Z+i1aZJE1NmlpaRgMBpKSkggLC8PX1/emc9LT02VXlBBCCNEBi0YpLRb2XdrH+YozLJgUwKbsAr5xvp27OAyHNkLkE9YOs0+yyIhNamoqOp2O6dOnYzQaKSoqavaQBphCCCFExw1xH8JtwbcBkHEywzwd9beLkzGigrO7wJBvzRD7LIuM2ERERLB169Y2z/nJT35iiVsJIYQQA0LcmDi+yv+Kj3Uf87PFz+Dn7sSxCk8Mw2fgU/g9HH4f5v6XtcPscyw2YtMeWWMjhBBCdNycoXMIdA+krLaM7fla7p0SCECm3a3KCYc2WjG6vssiiU1ISEi755SWllriVlZjMBhIS0vrUF8sIYQQortuXER8f9N01F/Pj8do5wiXDkHhMWuG2Cf12nbv/jxio9VqSU9PR6fTodfrrR2OEEKIAcJUiTi7MBt/n6sE+7hyvtaVS/4yatMai6yxWbBgQZvPFxcXk52dbYlbWUV0dDSg7P4SQggheou/mz8zA2ay+8JuPs/7nAem3cbaL3V81HALiWxXivXN/2+QWnFmFhmx2bt3L97e3i32iCoqKiIkJIQ1a9ZY4lYdptfrCQ8PbzehSktLIyUlhbS0NJKSktBqtb0UoRBCCNG+hZqFAHyq/5T7pw4F4J/nR2F0dAPDGTiXZc3w+hyL7YpKT09v9flt27bh5+dniVu1KzExkeLiYjQaTbtJTWJiIuHh4axcudJ8LC5O6b9hGqURQgghrClqeBS/3/179KV6cLrAuABPjl8sJ2/wfELOfwKH0mGYNFo2sciITUZG230roqKiem1tSmpqKhkZGaxatarN87Kzs9FqtSQkJDQ7npycbE5uhBBCCGvzdPJk3rB5AHya+6m5ps2G6pnKCYc3QUO9tcLrcyyS2HSka3VxcbElbmUxqampLY7KaDQaAJmSEkII0WcsDFGmoz7P/Zx7pgwB4F8XRtDg6guVVyD3KytG17f02q6ovlZ9WKvVolarW3xOo9GQmZnZuwEJIYQQrbg1+FY8HD24WHGRy3UniBzpQ53RgeO+Tb+gy+4oM4ussXnqqafafD4rK4v4+HhL3Mpi9Ho9oaGhLT7n6+vbr3dxCSGEsC3O9s5Ej4jmw9Mf8pn+M+6f9gh780r4T3kEfyYdjm2Ge/8Kji7WDtXqLDJis2HDBnQ63U09ooxGI0ajkTVr1vDcc89Z4la9prtTZzU1NZSVlTV7CCGEEF1lmo7acmYLd04chIOdio2FQ6l3D4Daq5D3jZUj7Bt6rVdUX2IwGNp8Xq1WN1vsbFpovGHDBvR6PUlJSYSGht608Ph6q1ev5oUXXrBUyEIIIQa4GQEz8HPxo6i6iBOl+7h19CC+PHGZIx63MLViE5z8AkZLdfxe6xXV31y//iYsLIyVK1eyb98+jEYjycnJbSY1AKtWraK0tNT8yM+XLqxCCCG6zt7OnrtD7gaUmjam3VHvGcYrJ5z4AoxGa4XXZ/Rar6j+pL0RnY5wdnbGy8ur2UMIIYToDtN01Jf5XzJ3jBcujnZsKh1No70LlJ2DS0esHKH1WXRX1KZNm4iMjMTe3h57e3siIyP517/+ZclbWIRpNKatBMbX19ci91q7di0TJkwgMlKKJwkhhOieSYMmMcxzGFX1Vey59A0xEwKowYnTHuHKCSc/t26AfYDFEpuf/OQnrFy5kqioKF577TXWrFlDVFQUq1ev7nM7okCZXioqKmrxOb1eb7Eu3k8//TRHjx5l7969FrmeEEKIgUulUplHbT7L/YwHmlosbLw6STnh5BZrhdZnWCSxef/99wkPD+f06dOsWbOG5cuXs2LFCtasWcPp06eJiIjg9ddft8StLCY6OrrVash6vV5aKgghhOiTTInNzoKdTB7ugKeLAx9VTFaePJcFVy9bMTrrs0hik5uby/Lly1t9fsWKFZSUlFjiVhYTHx/fYnXh7Oxs1Go1YWFhVohKCCGEaJtGrWG873jqjfXsKNjG7WP9uYQvF93HAkY41X92KfeEXmup4OPjY4lbdVh7dWjCwsJYsmQJaWlpzY4nJSW12/uqM2SNjRBCCEszjdp8qv+UqHH+AGjrpytPnvzCWmH1CRZJbFQqVbvnWGKnUUckJSWRmJhoXiMTFxdHYmIiiYmJN52bmpqKwWAgJSWFtLQ0kpKSSEpKsug0lKyxEUIIYWl3hdyFChXZhdmMC67HTgXpZROVJ3Xbob7GugFakUUK9JWUlJCXl8fIkSNbfD4nJ4crV65Y4lbtSk5O7tT5K1eu7KFIhBBCiJ4R4B5A+JBwsi5lsevSNiJGjGdvXiOVToNwq70CZ3ZC6Hxrh2kVFklsVqxYQUREBDExMcTHx5u3U+v1ejIyMsjKyhqwIxZr165l7dq1NDQ0WDsUIYQQNmShZiFZl7L4TP8Z0ePnsSevmD2OEdxe+4VSrG+AJjYW2+69bds2SkpKCAsLIzQ0lNDQUKKjoykuLm5xke5AIVNRQgghekLM8Bgc7Bw4UXKCMcFXAdhQatr2PXCrEFsssfH29ua1116jpKSErVu3snXrVkpKStiwYUOHFhcLIYQQouPULmrmDp0LwOHSHQz3deOr+gk02DmB4QxcPm7lCK3DopWHQUlwoqKiiIqKkoRGCCGE6EELNdeK9c0fN5gqXDjlNrB3R3Vqjc26detaLGq3evXqZv9+//338fHxISIiQnokCSGEED1kXvA8XB1cKbhawNipV2EXfFg5hef5XllnM/eX1g6x13VqxGbJkiXm7taZmZmEhoby/PPP33Te4sWLCQkJYcOGDWzatMliwfZHUsdGCCFET3FzdGNm4EwAio378XB24ONKUxXiPVDRcusgW6YyGju3umjbtm3o9fo2Kw1fLzc3l23btvHkk092KUBbUVZWhre3N6WlpTKKJYQQwmI2ntzIC7tfYPKgyagNz/LZoYvs8f0t/pWn4aFUmPqwtUPsts68h3ZqxCYvL69TSQ1ASEgIPj4+5OTkdOZWQgghhOiA24JvA+DQlUPMCHUEYHujqdv3wFtn06nEJjk5uVNJjcnixYtJTU3t9OuEEEII0TZ/N38m+E0AwN7jOCoVbChV/s3pbdBQZ8Xoel+nEptOzlpZ7LVCCCGEaN3twbcDkFW4k7DhPuQYQ6l28oGaMjizy7rB9bJOJTbd6dDd17p79xZZPCyEEKKn3TZMmY7afWE3t41VY8SOvY5N7zsnt1gxst7XqcSmO40se6sJZl8jlYeFEEL0tAm+E/B39aeqvooA/wIANpiaYp78fEBVIe5UYhMSEsKXX37Z6Zts376dkJCQTr9OCCGEEO1TqVTcGnwrAKev7iFI7cqXdZNotHOEYj0UnbZyhL2nU4lNQkICCQkJnb5JYmIiP/nJTzr9OiGEEEJ0zO3Dbgfg63NfEzVuMBW4onObpjx54nOrxdXbOpXYhIWFsXz5chYsWNDh1yxYsIDFixczbdq0zsYmhBBCiA6aGTgTZ3tnzlecZ9yISgA+qpyiPDmA1tl0ulfUypUraWxsxM/Pj5deeom8vLybzsnLy+PFF1/Ez88PgDVr1nQ7UCGEEEK0ztXB1VyFuEx1ADcnez6saqpCfHY3VBZbMbre06UmmJmZmaxevZoVK1YQGhqKvb09fn5++Pn5YW9vT2hoKElJSTz//PNs2TJwssSWyK4oIYQQvWVe8DwAvj3/NbeOHsQ5oz+X3UaDsQGOfmjd4HpJl7t7JyQkcPr0aZ577jmmT5+O0WjEaDQyffp0VqxYwenTp1mxYoUlY+2XZFeUEEKI3mKqQnzw8kFmjXIBYDPKomIObLBWWL2qU929b6TRaEhOTrZULEIIIYTohgD3AMb5juN48XEcPU8ALrxWHM7jrv9Blf+dskPKV2PtMHtUl0dshBBCCNH3mEZtsq/sZOowNYX4cNFPWXvDwXQrRtY7JLERQgghbIipvcKu87u4Y6wPAJ+irL3hwHs2X6xPEhshhBDChkwcNBE/Fz8q6ioIGHIegFcujcPo6AYluXDOttd8SmIjhBBC2BA7lZ15Oiq3ci9BaleK65woCIxRTjjwnhWj63mS2AghhBA2xrTte8e5Hdw3NRCA9NpblCePbIL6GmuF1uMkselhUsdGCCFEb5s9dDaOdo4UXC1g5ph6AF47G0yjRwBUlcCprVaOsOdIYtPDpI6NEEKI3ubm6MaMgBkA5FbtZXKQN7WNKo76NbVEsuHpKElshBBCCBs0b1jTdFT+Dh6aHgRAWmnT7MHJLTbbYkESGyGEEMIGmdbZ5FzOYd54N+ztVHx80ZcavwnQWAdHPrByhD1DEhshhBDCBg31GMpon9E0Ghs5VrqX20YPAmC3R9PuqIO22WJBEhshhBDCRpl3R+XvYFFYMAAvX5yCUWUH+d9Dkc6a4fUISWyEEEIIG2VKbHYW7OSOcb54OjtwsNSV0oA5ygk22GJBEhshhBDCRk0eNBlfF1/K68rZf3kvd08OAOAL+6YWCwc32FyLBUlshBBCCBtlb2fPgpHKFu/N+s08NL1pOip/DEZHd6XFQv4ea4ZocZLYCCGEEDbs/tD7Adh+djsTg5wIUrtSWOPAucBo5YSDtlXTRhIbIYQQwoZN9JvISK+R1DTUsC1fy4PThwKwoaapxcJh22qxIIlND5OWCkIIIaxJpVJxX+h9AHyi/8Q8HZWWH0yDRwBUG5SCfTZCEpseJi0VhBBCWNs9mnsA2HtxLx7uV5kSfEOLBRuqaSOJjRBCCGHjgjyCCB8SjhFj06iN0mIhtVTpJ2VLLRYksRFCCCEGANMi4s26zdw7JRB7OxWfXPShZtDEphYLm6wcoWVIYiOEEEIMADEjYnC2d0ZfqqewVsftYwYDsMu9aXeUjXT8lsRGCCGEGAA8nTy5fdjtAHyi+4SHwpTpqL+YWiyc22sTLRYksRFCCCEGiPs0yu6oz3I/4/axfuYWC4bAW5UTbGARsSQ2QgghxABxS9At+Lr4UlxdTPbl71k4ORCAz+1uU06wgRYLktgIIYQQA4SjnSN3h9wNKIuIzdNR+WMwOnlASZ7S9bsfk8Smg1JSUti4cSNpaWkkJSVZOxwhhBCiS0zTUV/mf8n4oY4EqV25XGPPuQDTIuL1Voyu+ySx6YCUlBQAYmNjSUhIICYmhri4OCtHJYQQQnTeBL8JhHiHUNNQw/b8beaaNu+ZWiwc+QDqqq0YYfdIYtMBq1evJjY21vzv6OhoNm7ciMFgsF5QQgghRBeoVCrzqM1m/bXpqLT8IBo8hkJ1KZzqvy0WbDax0ev1hIeHk52d3eZ5aWlppKSkmKeYtFpts+ezs7MxGAz4+vo2O65Wq0lPT7d43EIIIURPu1dzL6C0WHBzLWdqsDd1jSqOmFosHOi/u6McrB2ApSUmJlJcXIxGo2k3qUlMTCQ8PJyVK1eaj5mmmKKjlbnG4mKlxLRarW72Wl9fXxmxEUII0S8FegQSGRDJ3ot7+TT3UxaFRXPgXCmphkjW8n9waitUFIG7n7VD7TSbG7FJTU0lIyODVatWtXlednY2Wq2WhISEZseTk5ObrZ9pK3kpKirqVqxCCCGEtZimoz7Wfcy9UwJxsFPx6SU11YMm9esWCzaX2HRUamqqeVTmehqNBsA8JXXjSI0QQghhC0wtFnJLc7lYfZrbx9pGi4UBm9hotdpWkxaNRkNmZiaAeW3NjSM3xcXFhIaG9mSIQgghRI/xcPLgjmF3AE2LiKcHA/DyhckYVfZQkAVXTlszxC4ZsImNXq9vNTHx9fU1r88JCwtDrVab19qYGAyGFkd8hBBCiP7ivlBlOurz3M+ZN9YHTxcHDpe5Ygicq5zQD1ssDNjEpj3XJzIJCQls3LjR/G+tVkt0dLR52koIIYToj24Zen2LhT3cO0VpsfCZ3TzlhIPvQWOjFSPsvAGZ2LS3m0mtVjc7Jzk5GVC2hqelpZGZmUlGRkab16ipqaGsrKzZQwghhOhLHOwcWBiyEFAWEZumo/6SP1ppsWA4C/nfWTPETrO57d6WcuP6m+u3hHfE6tWreeGFFywYkRBCCGF594bey9vH3ubLs1/yPzN/S7CPK+dKqsgfEcPwsx8oi4hH3GLtMDtsQI7YtMcS9WlWrVpFaWmp+ZGfn9/9wIQQQggLm+A7AY23htrGWrbla80tFt41t1j4sF+1WBiQiY1pNKatBObGSsOd5ezsjJeXV7OHEEII0deoVCrzIuLNus3mxOb1/KE0eAZBTSmc/MKaIXbKgExsQNnt1FqBPb1eT0xMjEXus3btWiZMmEBkZKRFrieEEEJY2r2ae1GhIutSFi6uZUwbpqa+UcVhU4uFfrQ7asAmNtHR0ej1+haf0+v1FtvK/fTTT3P06FH27t1rkesJIYQQlhbgHkBkgPIL+Cf6T1jU1BjztZII5YRTW6HiirXC65QBm9jEx8ff1PASlFYLarWasLAwK0QlhBBCWIepMeZm3Wbumay0WPj8kprqQZOhsR4O948WCzab2NxYUO9GYWFhLFmyhLS0tGbHk5KS2t3K3RkyFSWEEKI/MLVYyCvL40L1KW4f6w/At6YWCwf7R4sFldFoNFo7CEtKSkrCYDCg1WrR6/VoNBrztFJqaupN56ekpADKgmKdTkdMTEyPVBQuKyvD29ub0tJSWUgshBCiT1r59Uo+z/2cZeOWMdXtMX76TjYTvKr5tG45KmMD/CwLBo3u9bg68x5qc4lNXyWJjRBCiL7um3Pf8NNtP8XH2YfPHtrKLat3UFZdz35NGj7nv4Jbn4Oo/+n1uDrzHmqzU1FCCCGE6JzZQ2fj5+JHSU0JWYXfcc+UoQB8am6xkN7nWyxIYtPDZI2NEEKI/sLBzoG7Q+4GlEXEpt1RL58dpbRYKD0LZ3dbM8R2SWLTw2S7txBCiP7k/tD7Afgq/yvGBNozzNeV4lp7zgbcqZzQxxcRS2IjhBBCCLNxvuMYpR5FbWMt2jNaHprW1GKh2tRi4SOoq7JihG2TxEYIIYQQZiqV6lpNG/1mHgpTOn6/nh9Ag2ew0mLhxOfWDLFNktj0MFljI4QQor+5R3MPKlTsu7QPJxcD04eraTDaccjXNB3Vd1ssSGLTw2SNjRBCiP4mwD2AGQEzAPhE9wmLmhpjvlrS9Ev6aW2fbbEgiY0QQgghbmLq+P2J/hPumRyIo72KLYXeVA2e2tRi4X0rR9gySWyEEEIIcZPoEdG42LuQV5ZHQdXJay0W3OYrJxzom7ujJLERQgghxE3cHd2ZP1xJYjbrN7PYVNPm/GSMKns4nw2XT1ozxBZJYtPDZPGwEEKI/so0HfV57ufMHe2Dt6sjx8pdKBl6m3JCH6xpI4lND5PFw0IIIfqrWYGz8HPxw1BjYO+l3dwzJRCATzAlNn2vxYIkNkIIIYRokYOdA/do7gGU6SjT7qi/5I/C6OwJpflwdpc1Q7yJJDZCCCGEaJVpOmpH/g5GB9oz3NeNklp7zgxpqmnTxxYRS2IjhBBCiFaN9RlrbrGQeSaTh5pGbd6pnq2ccLRvtViQxEYIIYQQrVKpVOZRm826zebE5t/mFgtlcOIza4bYjCQ2PUx2RQkhhOjvFoYsRIWK7MJsHJxLCGtqsXDQd4FywoG+02JBEpseJruihBBC9HcB7gHMDJwJKJWITY0xXymJUE44rYWrl60VXjOS2AghhBCiXc1aLEwKwNFeRaapxYKxoc+0WJDERgghhBDtih4ejauDK2fKznCu6gTzxyktFr5xjVJOOLDeitFdI4mNEEIIIdrl5uhmbrHwse5jHpquTEe9dGESRjsHuJADl09YMUKFJDZCCCGE6JD7NMp01Bd5XzB3tBpvV0dOlLtQHNhUibgP1LSRxEYIIYQQHTIzcCaDXQdTWlPKnku7uPfGFguHMqzeYkESGyGEEEJ0iIOdAwtDFgLKIuJFYaYWC6EYnb2UFgtndlozRElseprUsRFCCGFLTLujvsr/ilFD7Bnh54ah1p4zATHKCVaejpLEpodJHRshhBC2ZKzvWEb7jKausY4tZ7aYKxG/XXldi4XaSqvFJ4mNEEIIITrlfs39QFOxvqbE5v/OBdDgNQxqy63aYkESGyGEEEJ0ykLNQuxUduwv3I+dUzHhI3xoMNpxwNRi4aD1WixIYiOEEEKITvF382dmwLUWC6ZFxGuLTC0WtsHVQqvEJomNEEIIITrN3GJB9wn3TArEyd6ObZe9qPKfprRYOPqRVeKSxEYIIYQQnRY1PApXB1fOlp8lr+KoucXCBz4/hh99ABE/tkpcktgIIYQQotPcHN2IHh4NmDp+K9NRf9UH0RByB9jZWyUuSWyEEEII0SX3ht4LNLVYGOWD2s2RwvIadp6+YrWYJLERQgghRJfMDJiJv6s/pTWlfHfpW+6bMhSAD/YXWC0mSWyEEEII0SX2dvYs1DS1WNBdm4764vBFKmrqrRKTJDZCCCGE6LJ7Ncp01FfnvkLjryJkkDtVdQ1sOXLRKvE4WOWuA8jatWtZu3YtDQ0N1g5FCCGEsLixvmMZ6zOWEyUn2HpmK4m3zaKkso45owZZJR6V0Wg0WuXOA0xZWRne3t6Ulpbi5eVl7XCEEEIIi3njyBu8mPUi0wZP462Fb1n8+p15D5WpKCGEEEJ0y8IQpcVCzuUc8svyrRqLJDZCCCGE6JbBboOZFTgLUGraWJMkNkIIIYToNtMi4s36zVhzlYskNkIIIYToNlOLhfzyfA5cPmC1OCSxEUIIIUS3uTm6ETMiBoDNus1Wi0MSGyGEEEJYhGk66ou8L6htqLVKDJLYdJDBYCAtLY2YmBhrhyKEEEL0STMCZuDv6k9ZbRnfnPvGKjFIgb4O0Gq16PV6dDoder3e2uEIIYQQfZK9nT0Pj3uYCxUXGO413CoxSGLTAdHRSlv2tLQ0K0cihBBC9G3Lpyy36v37RWKj1+uJi4tj3bp1hIWFtXpeWloaBoMBtVqNTqcjJibGnJQIIYQQwvb16cQmMTGR4uJiNBoN2dnZ7Z4bHh7OypUrzcfi4uIAJLkRQgghBog+ndikpqYCysLdlJSUVs/Lzs5Gq9WazzdJTk4mPDyckpKSHo1TCCGEEH1Dn05sOio1NbXFURmNRgMoi39Nz2/cuJENGza0e83k5GTz64UQQgjRP9hEYqPVaomNjW3xOY1GQ2ZmpjmxiY2NbfVcIYQQQvRvNlHHRq/XExoa2uJzvr6+7a7PEUIIIYRtsInEpj3FxcXWDkEIIYQQvaDfT0UZDIY2n1er1d0uqmdanLxhwwb0ej1JSUmEhoaSkJDQ6mtqamqoqakx/7usrKxbMQghhBCiff0+sekItVrdrdeHhYURFhbWbCt5e1avXs0LL7zQrfsKIYQQonNsfiqqvRGdnrJq1SpKS0vNj/z8fKvEIYQQQgwk/X7ExjQa01YC4+vr2zvBXMfZ2RlnZ+dev68QQggxkNnEiE1YWBhFRUUtPqfX663akXvt2rVMmDCByMhIq8UghBBCDBT9fsQGlJYJrS0Q1uv1Vm2p8PTTT/P0009TWlqKWq2WRcRCCCFEJ5neO41GY7vn2kRiEx8fT1RU1E3Hs7OzUavVbTbO7C3l5eUADBs2zMqRCCGEEP1TeXk53t7ebZ7TLxKb9urQhIWFsWTJEtLS0pptwU5KSiIjI6Onw+uQoUOHkp+fj6enJyqVytrhtCoyMpK9e/fa5L0tfX1LXK+r1+jK6zr6mrKyMoYNG0Z+fj5eXl6djm2gseb3TFfI93jvXk++xy3DaDRSXl7O0KFD2z23Tyc2SUlJGAwGtFotoHTrNk0r3djwMjU1lZSUFFJSUlCr1eh0OpKSkvpMZ287OzuCg4OtHUa77O3trfaF3tP3tvT1LXG9rl6jK6/r7Gu8vLz6zQ89a7Lm90xXyPd4715Pvsctp72RGpM+ndgkJyd36vzO1JkRLXv66adt9t6Wvr4lrtfVa3Tlddb8v7Vl/e3zKt/jvXs9+R7vfSpjR1biCCEGjLKyMry9vSktLe1Xv80JITrG1r/HbWK7txDCcpydnfnf//1fqcMkhI2y9e9xGbERQgghhM2QERshhBBC2Iw+vXhYCNH3pKSkoNFoKC4uRqfTdXqRvxCibzMYDKSnp5ORkUFmZqa1w+k0SWyEEB2WkpICQGxsLABarZa4uLg+Uy9KCNE9Wq0WvV6PTqdrtaJ/XydrbIQQHebj48O+ffvQaDTmYyqVipKSEnNDWiFE/5eWlkZycjI6nc7aoXSajNgIYeP0ej1xcXGsW7euzfYiaWlpGAwGc4HLmJiYZgUus7OzMRgM+Pr6NnudWq0mPT29WdVvIUTvsdT3uK2QxEYIG5WYmEhxcTEajYbs7Ox2zw0PD29W5DIuLg7A/IPP1NrkxpEZX19fDAaD5QIXQnSIpb/HbYUkNkLYKFPbEYPBYF4b05Ls7Gy0Wu1NbUqSk5MJDw+npKTEfJ3WFBUVdT9gIUSnWPp73FbIdm8hBrjU1NQWf2MzraMx9WqTNTRC9E8d/R63FZLYCDHAabXaVpMWjUZj3u5pWltz48hNcXExoaGhPRmiEKIbOvo9bisksRFigNPr9a0mJr6+vua5+7CwMNRqtXmtjYnBYLC5OXohbElHv8dthSQ2Qog2XZ/IJCQksHHjRvO/tVot0dHRzbZ/CyH6lxt/WenvZPGwEANYe7uZ1Gp1syJdycnJpKSkkJaWBoBOp5PifEL0YZ39HjctNN6wYQN6vZ6kpCRCQ0P7VTkHSWyEEG26cW7++u2iQoj+7/rv8bCwMMLCwvr197lMRQkhWiX1aYSwbbb4PS6JjRADmOk3tbZ+uN1YaVgI0X8MxO9xSWyEGODCwsJaLbCn1+uJiYnp5YiEEJY00L7HJbERYoCLjo5utYuvXq+XrdxC9HMD7XtcFg8LMcDFx8cTFRV10/Hs7GzUanWbTfWEEH3fQPselxEbIWxcezUqwsLCWLJkiXkLt0lSUpJs5RaiH5Dv8eZURqPRaO0ghBCWl5SUhMFgQKvVotfr0Wg05iHnG5vhAeYmemq1Gp1OR0xMjM0NUQthS+R7vGWS2AghhBDCZshUlBBCCCFshiQ2QgghhLAZktgIIYQQwmZIYiOEEEIImyGJjRBCCCFshiQ2QgghhLAZktgIIYQQwmZIYiOEEEIImyGJjRBCDACtNUHsK/p6fKL/kMRGCCFsXHZ2Nlqt1tphtEmv17Nx40ZrhyFsgCQ2QlhRdnY2iYmJxMTEEBcXR2JiIomJiebfXg0Gg7lxnV6vJyYmBh8fH5KSkqwZdo8ZCB9jbzMYDKSmppKQkAA0/xybegd1V0pKCuHh4ahUKlQqFXFxcRgMhlbPT0xMRKVS4ePjQ1xcHADR0dHo9Xqys7MtEpMYuKRXlBBWkpKSQmpqKqmpqTc1oktLS0Oj0ZCZmQlAcnKy+bnw8HCio6ObHbM1MTExaDSaFhv5ic5JTEwkOTkZtVrd7Hh4eDjx8fGsXLnSYvcKDQ1FrVazb9++ds+Ni4tj1apVhIWFNTseExNj/roXoitkxEYIKzD98NbpdC12101ISECv17f4G7VGo+mNEK3qxjdh0TWm0Y+WPp++vr4Wv19iYiLZ2dkdWi+j0WhuSmpM17DUSJIYmCSxEaKXpaWlkZWV1e5vpQkJCS3+4B8IeuJNdyBavXp1q1N6PZE8mqa72htp02q1xMTEtPhcbGwsGzZssHhsYuCQxEaIXqTX60lMTGTVqlUdOj8xMbGHIxK2LDs7u1dH+NRqNbGxseZ1Ya3JzMxscaTSRKPR9PnFzqLvksRGiF5k+k02Nja2Q+cvWbKkJ8MRvSw7O7vZotrs7Owe2wmk1WrbTB56SmJiIgaDodWPy2Aw4Ofn1+Y14uPjZZ2N6DIHawcgxEBi+i20o79Fq9XqVhcJ6/V68/V0Oh1Ai+def57BYKCoqIhVq1Y1m4owjSRlZWWRkJBAYmJim9fu7PkmBoOB1atXExkZSXFxMfv27SMxMbHbU27tXben4r3+usnJyURERJinGePj480J7MaNG9mwYQOrVq0iPT2dzMxMIiMjiY2Npbi4mLS0NPPuJb1eT1hYGBkZGeavE4PBQHh4OHq9nujo6A696WdmZhIeHt6pz2N4eDgGgwG1Wk1iYqJ5aqkz/2/R0dGo1WpSU1NbTODT09PN122NRqNh9erVnYpdCDOjEKLXqNVqo1qt7tY1YmNjjbGxscaMjIxmxzUajTE1NbXZsZKSkpuOZWRkGDUaTYvXjo6ONiYkJHTo2p09X6fTGTUajbGkpKRZfGq12rhv375m5yYkJBgTEhJajPFGnbluT8UbFhZmXLlypfm618e/b9++m/7Pk5OTjbGxsTd9LCUlJUbAmJmZedNzmZmZxpUrV7byWbhZbGxsi9e5/vnk5ORmxxISEm461pnPg0lycrIRaPYak45+DPL2JLpKvnKE6EWWSmxaSkwSEhJuerPMyMgwqtXqm95g1Gr1TW/unb12Z88PCwu76U3TaFTeBKOjo296fUcTm85ct6fijY6ObjVZTEhIuOn8ffv2tfrGb0pcb9RSYtmWsLCwVhMP032u//gyMjJaTIQ683kwMSVoNyYx+/btazPZul5rnx8h2iNrbIToRRqNps3CZR3V0hSAWq2+6dphYWEsWbLkph0wvr6+FBcXd+vanTnfVHitpTUfGo2GrKysFq/dnq5ctyfiVavVFlvPkpiYyMaNG7v9dWKaUuqIlJQUNBrNTR9DV//fTJ+PGxcRb9iwocOfJ7Va3erXqBBtkTU2QvSi6Ohoc52Pjq6z2bhx401rFTq6HfrGInd6vR69Xt/mG0Znt1p35HxTPRWtVttijZN169Z16p7duW5PxdtaEhEXF2eurmuSlZVFWFhYi6+Jjo5Go9E0W4vSlYXAHUkKioqKzIUii4qKbkr6uvP/ZlrHdH3s7S0aFsISJLERoheZio9t3LixQxVf9Xp9t+uNaLVaMjIyCA0NJTo6moiIiF6vE2NK4mJjYy26/bgvXbe1N23T5zwpKYlVq1ah1+tJTU0lIyOj1WuZqgWbEpvWRk3a0pH/Y61Wy7Zt24iOjjZXIr4+uenO5zc2Nta8iNg0etPR3YCgjDgNhGKUwvJkKkqIXqTRaEhOTu7wjg+tVktERESX75eSkkJcXBzJycmsXLnSPErQ25V9TW+Wlu4D1B+uq9frSU5ONo9gmHYVtfWmbao8bdoe3pU3+LamD03i4+NRq9WEhYWRnJx808hSdz8PCQkJ5mk1nU4niYroFZLYCNHLVq5cSURERKuVV030ej2+vr7dSkJWr15909Zu07VN2iumZikJCQmtVpTtTgn9vn7d7OxsiouL0Wg0xMbGdmjkxVTobvXq1aSnp3dqpMNEo9F0qLWBycqVK83bvK/Xnc+D6VrLly8nMjKyw7HIaI3oDklshLCCzMxMwsLCCA0NbbHC6saNG9FqtS2+obX2W3hrx4uKipr92zStYarf0p1rd+a4qUbLjYXbtFrtTWs7OrNotDPX7al4TfWBWmIapevsYuDuLiKOiYlh7969rT7f0nUzMjJIS0tr9jF35vNwI9OC5Na+lltjWoMkRJdYe1uWEAPZvn37zNuBY2NjzducW9qmq9PpjAkJCeYt4wkJCcaSkhJjSUmJ+ThgTEhIMOp0OvNrTNc1befV6XRGnU5njI6ONiYnJ5v/3ZlrdyUWk5UrVxpXrlxpTE1NNWZkZDT7WFu7bkd05bqWihcwX7el7cyxsbFGoNmjtW3U19NoNDfF01Gm/+OWjpviMcV8/cdqii86OrrZ576tz0NbMjIyOlV/x2hUtpK397kRojUqo9FotE5KJYQQti8pKclcZdjEYDCg1+vNDSpbqySckpLSoUXmrQkPD2ffvn1dfr21xMTEkJGRIV3eRZfIVJQQQvQQU6uEG6dhTAt2MzMzycrKanEtjCXWmcTHx/dYL6qeYpoik6RGdJUkNkII0YPae4PWaDT4+vqaawyZdHXR8PVWrlzZrI5Rf7B69epW+6MJ0RGS2AghRA9ZsmQJ2dnZrW6XTklJMTeNTEpKMk9NWXJXkGkRcn+g1+sxGAyycFh0i6yxEUKIHmaakrp+9Ean0xETE2Pe/m2qSA3KrrD2OmB3hqk4YF+f3klMTOx3I0yi75HERgghBoDuLkTuaWlpaS32NROisySxEUIIIYTNkDU2QgghhLAZktgIIYQQwmZIYiOEEEIImyGJjRBCCCFshiQ2QgghhLAZktgIIYQQwmZIYiOEEEIImyGJjRBCCCFshiQ2QgghhLAZ/x9Gg/69sOTbuAAAAABJRU5ErkJggg==", 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#now to simulate data\n", "rebin_chans = 0.5*(rebin_bounds_lo+rebin_bounds_hi)\n", "\n", "folded_varbb = rebin_response.convolve_response(model_varbb)\n", "\n", "print(folded_varbb.shape)\n", "\n", "#test plot in 1d with errors\n", "fig, ax1 = plt.subplots(1,1,figsize=(6.,4.5))\n", "ax1.errorbar(rebin_chans,folded_varbb[:,0])\n", "ax1.errorbar(rebin_chans,folded_varbb[:,10])\n", "ax1.errorbar(rebin_chans,folded_varbb[:,20])\n", "ax1.set_xscale(\"log\")\n", "ax1.set_yscale(\"log\")\n", "ax1.set_xlabel(\"Channel energy (keV)\")\n", "ax1.set_ylabel(\"Counts/s/keV\")\n", "\n", "#test plot in 2d\n", "fig, ax2 = plt.subplots(1,1,figsize=(6.,4.5))\n", "ax2.pcolormesh(phase_grid,rebin_chans,folded_varbb,cmap=\"plasma\",shading='auto',linewidth=0)\n", "ax2.set_xlabel(\"Pulse phase\")\n", "ax2.set_ylabel(\"Channel energy (keV)\")" ] }, { "cell_type": "markdown", "id": "c000c3cd-0a09-4fdb-831f-35b8c9386f07", "metadata": {}, "source": [ "Now that we folded the model through the response, we can generate fake data from it again. Once again we will use a Gaussian errors with a 5\\% standard deviation for simplicity, although technically in this case we should be using a Poisson distribution since we are simulating photon counts." ] }, { "cell_type": "code", "execution_count": 10, "id": "68359a09-0cfc-4593-887b-3a8cfe381cab", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(0.5, 4.0)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "renorm_ewidths = (rebin_response.emax-rebin_response.emin).reshape((rebin_response.n_chans,1))\n", "\n", "simulate_pulse = np.random.normal(loc=folded_varbb,scale=0.05*folded_varbb,size=folded_varbb.shape)\n", "simulate_pulse_err = 0.05*simulate_pulse\n", "\n", "#test plot in 2d\n", "fig, ax2 = plt.subplots(1,1,figsize=(6.,4.5))\n", "data_plot = ax2.pcolormesh(phase_grid,rebin_chans,simulate_pulse,cmap=\"plasma\",shading='auto',linewidth=0)\n", "fig.colorbar(data_plot, ax=ax2)\n", "ax2.set_xlabel(\"Pulse phase\")\n", "ax2.set_ylabel(\"Channel energy (keV)\")\n", "ax2.set_ylim([0.5,4])" ] }, { "cell_type": "markdown", "id": "2bf35d13-4884-42f9-a344-3447d3eabb5a", "metadata": {}, "source": [ "Now we can load the data and ignore the bins (with low signal) below 0.5 and above 4 keV:" ] }, { "cell_type": "code", "execution_count": 11, "id": "23fff9b2-beb6-44b9-9923-26cf0727cc30", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fit_phase = FitTwoD()\n", "fit_phase.set_data(simulate_pulse,simulate_pulse_err,column_grid=phase_grid,row_grid=rebin_bounds,response=nicer_matrix)\n", "fit_phase.ignore_rows(0,0.5)\n", "fit_phase.ignore_rows(4,20)\n", "fit_phase.plot_data(x_name=\"Phase\",y_name=\"Channel energy (keV)\")" ] }, { "cell_type": "markdown", "id": "c080596a-952e-456f-ac3e-ad274cb8b1de", "metadata": {}, "source": [ "Finally, we will define a model identically to before and then fit the data. Not that the independent variable names are identical, and that we do not need to include folding the instrument response in our model definition, as that is now done automatically when evaluating the model now:" ] }, { "cell_type": "code", "execution_count": 12, "id": "c32a8ec6-3c0c-4e8b-b059-dc8e1db7de41", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " - Adding parameter \"norm_bb\"\n", " - Adding parameter \"kT\"\n", " - Adding parameter \"norm_mod\"\n", "Name Value Min Max Stderr Vary Expr Brute_Step\n", "kT 2 0 10 None True None None\n", "norm_bb 1 0 10 None True None None\n", "norm_mod 0.2 0 1 None True None None\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def pulsing_bb_eval(y_axis,x_axis,norm_bb,kT,norm_mod):\n", " model = pulsing_bb(y_axis,x_axis,norm_bb,kT,norm_mod)\n", " model = model.T\n", " return model\n", "\n", "pulse_model = LM_Model(pulsing_bb_eval,independent_vars=['y_axis','x_axis'])\n", "fit_phase.set_model(pulse_model)\n", "\n", "start_params = pulse_model.make_params(norm_bb=dict(value=1,min=0,max=10),\n", " kT=dict(value=2,min=0,max=10),\n", " norm_mod=dict(value=0.2,min=0,max=1),\n", " )\n", "fit_phase.set_params(start_params)\n", "fit_phase.model_params.pretty_print()\n", "fit_phase.plot_model(x_name=\"Phase\",y_name=\"Channel energy (keV)\")" ] }, { "cell_type": "code", "execution_count": 13, "id": "2fad6510-2a9f-4aed-8b81-bf9c137eebbd", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "-----------------------\n", "[[Fit Statistics]]\n", " # fitting method = leastsq\n", " # function evals = 29\n", " # data points = 840\n", " # variables = 3\n", " fit statistic = 834.4022107305332\n", " reduced statistic = 0.996896309116527\n", " Akaike info crit = 0.3834755180334355\n", " Bayesian info crit = 14.583681193545512\n", "[[Parameters]]\n", " norm_bb: 0.99531422 +/- 0.00180968 (0.18%) (init = 1), model_value = 0.9953142\n", " kT: 0.99986791 +/- 6.8388e-04 (0.07%) (init = 2), model_value = 0.9998679\n", " norm_mod: 0.29535150 +/- 0.00267648 (0.91%) (init = 0.2), model_value = 0.2953515\n" ] }, { "data": { "image/png": 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