From 3f4025d9fb97335ffec80addd45d0499a8700382 Mon Sep 17 00:00:00 2001 From: Yohai Meiron Date: Wed, 13 May 2020 14:11:48 -0400 Subject: [PATCH] Prepared to analyze multiple subhalos --- .gitignore | 1 + file.dat | 77 ---- parameterize-all.py | 31 +- plot_orbits_from_scattering_experiments.ipynb | 365 ++++++++++++++++++ plot_subhalo_parameters.ipynb | 326 ++++++---------- scattering_experiment.cpp | 66 ++-- subhalo_411321_parameters.dat | 75 ---- subhalo_411321_parameters_processed.dat | 75 ---- 8 files changed, 537 insertions(+), 479 deletions(-) delete mode 100644 file.dat create mode 100644 plot_orbits_from_scattering_experiments.ipynb delete mode 100644 subhalo_411321_parameters.dat delete mode 100644 subhalo_411321_parameters_processed.dat diff --git a/.gitignore b/.gitignore index 32f95dc..2d28f98 100644 --- a/.gitignore +++ b/.gitignore @@ -2,6 +2,7 @@ scattering_experiment libreplay.so data +results __pycache__ *.png *.o \ No newline at end of file diff --git a/file.dat b/file.dat deleted file mode 100644 index 6ba8741..0000000 --- a/file.dat +++ /dev/null @@ -1,77 +0,0 @@ -# subhalo 411321 -# snap, t [Gyr], M [MSun], rh [kpc] -25 2.145 1.842577e+11 2.742022e+01 -26 2.238 1.892209e+11 2.671429e+01 -27 2.384 1.931019e+11 2.774201e+01 -28 2.539 2.084169e+11 2.707294e+01 -29 2.685 2.154326e+11 2.746115e+01 -30 2.839 2.560636e+11 2.403104e+01 -31 2.981 3.377362e+11 2.154270e+01 -32 3.129 3.875323e+11 2.139171e+01 -33 3.285 4.428067e+11 2.109969e+01 -34 3.447 4.814599e+11 2.066491e+01 -35 3.593 5.435782e+11 1.958987e+01 -36 3.744 5.832241e+11 1.588560e+01 -37 3.902 5.910308e+11 1.318808e+01 -38 4.038 6.372445e+11 1.241970e+01 -39 4.206 6.685910e+11 1.169071e+01 -40 4.293 6.742185e+11 1.183042e+01 -41 4.502 6.817118e+11 1.224346e+01 -42 4.657 7.010794e+11 1.133662e+01 -43 4.816 7.106476e+11 1.083693e+01 -44 4.980 7.341724e+11 1.081872e+01 -45 5.115 7.524877e+11 1.087563e+01 -46 5.289 8.035750e+11 1.090464e+01 -47 5.431 8.380413e+11 1.074618e+01 -48 5.577 8.604913e+11 1.094197e+01 -49 5.726 9.188854e+11 1.095124e+01 -50 5.878 9.939528e+11 1.101752e+01 -51 6.073 1.050354e+12 1.165214e+01 -52 6.193 1.106218e+12 1.186527e+01 -53 6.356 1.173352e+12 1.247234e+01 -54 6.522 1.255338e+12 1.303894e+01 -55 6.692 1.383761e+12 1.599427e+01 -56 6.822 1.373275e+12 1.645093e+01 -57 6.998 1.422295e+12 1.514309e+01 -58 7.132 1.462187e+12 1.522601e+01 -59 7.314 1.523746e+12 1.505336e+01 -60 7.453 1.625764e+12 1.554669e+01 -61 7.642 1.715243e+12 1.789185e+01 -62 7.786 1.705854e+12 1.600661e+01 -63 7.932 1.748553e+12 1.663414e+01 -64 8.079 1.708907e+12 1.684767e+01 -65 8.280 1.682277e+12 1.765823e+01 -66 8.432 1.674851e+12 1.764632e+01 -67 8.587 1.679583e+12 1.768747e+01 -68 8.743 1.670373e+12 1.757611e+01 -69 8.902 1.685143e+12 1.758471e+01 -70 9.062 1.693599e+12 1.784006e+01 -71 9.225 1.707019e+12 1.780380e+01 -72 9.389 1.700025e+12 1.720548e+01 -73 9.556 1.716124e+12 1.685487e+01 -74 9.724 1.698637e+12 1.614731e+01 -75 9.837 1.690106e+12 1.639938e+01 -76 10.009 1.713624e+12 1.581026e+01 -77 10.182 1.725170e+12 1.540258e+01 -78 10.299 1.725714e+12 1.529604e+01 -79 10.535 1.741246e+12 1.508748e+01 -80 10.654 1.786631e+12 1.489346e+01 -81 10.834 1.775003e+12 1.485126e+01 -82 11.016 1.864654e+12 1.507335e+01 -83 11.138 1.871185e+12 1.536455e+01 -84 11.323 1.885768e+12 1.537435e+01 -85 11.509 1.896120e+12 1.494602e+01 -86 11.635 1.917398e+12 1.486861e+01 -87 11.824 1.948357e+12 1.470634e+01 -88 11.951 1.953813e+12 1.459721e+01 -89 12.143 2.008370e+12 1.469724e+01 -90 12.337 2.004639e+12 1.439044e+01 -91 12.467 2.029410e+12 1.444626e+01 -92 12.663 2.029940e+12 1.426860e+01 -93 12.795 2.056368e+12 1.414617e+01 -94 12.993 2.067279e+12 1.379220e+01 -95 13.127 2.078900e+12 1.382175e+01 -96 13.328 2.182388e+12 1.354795e+01 -97 13.463 2.223654e+12 1.352882e+01 -98 13.667 2.275025e+12 1.345206e+01 -99 13.803 2.306498e+12 1.335429e+01 diff --git a/parameterize-all.py b/parameterize-all.py index c9167c5..045b1e0 100644 --- a/parameterize-all.py +++ b/parameterize-all.py @@ -2,12 +2,22 @@ #All pylint codes: http://pylint.pycqa.org/en/latest/technical_reference/features.html from pylab import * -import h5py +import os, h5py from density_center import def_dc import ellipsoids import scipy.optimize from astropy.cosmology import Planck15 +# Simumation parameters +h0 = 0.6774 +snap, z = loadtxt('data/snapshots.dat', unpack=True) +snap = snap.astype(int) +a = 1/(1+z) +t = Planck15.age(z).value + +# Halo parameters +file_name = 'data/subhalo_420304.hdf5' + def miyamoto_nagai_params_from_medians(m_d, m_z): m_d_pred = lambda x: exp(1.43475163 + (1.04827148*log(x)-1.09023112)*(arctan(log(x)/2.30939056)/pi+0.5)) m_z_pred = lambda x: 5.77340E-01*x @@ -18,16 +28,6 @@ def miyamoto_nagai_params_from_medians(m_d, m_z): b = a*b_over_a return a, b -# Simumation parameters -h0 = 0.6774 -snap, z = loadtxt('snapshots.dat', unpack=True) -snap = snap.astype(int) -a = 1/(1+z) -t = Planck15.age(z).value - -# Halo parameters -file_name = 'data/subhalo_411321.hdf5' - # Dictionary of particle types particle_types = {} particle_types['gas'] = '0' @@ -64,6 +64,10 @@ m = f[str(snapshot)][particle_types['stars']]['Masses'][...] X = f[str(snapshot)][particle_types['stars']]['Coordinates'][...] * a[i] / h0 X_center_glob, _, R_glob, _ = get_transformation(m, X) +_, output_file_name = os.path.split(file_name) +output_file_name, _ = os.path.splitext(output_file_name) +output_file_name += '_parameters.dat' +output_file = open(output_file_name, 'w') for i in range(len(snap)): snapshot = snap[0] + i @@ -113,6 +117,7 @@ for i in range(len(snap)): m_d = median(sqrt(x[mask]**2+y[mask]**2)) a_mn, b_mn = miyamoto_nagai_params_from_medians(m_d, m_z) M_disk = sum(m) - print('%d %.8E %15.8E %15.8E %15.8E %15.8E %15.8E %15.8E %15.8E %.8E %.8E %.8E %15.8E %15.8E %15.8E %.8E %.8E %.8E %.8E %.8E' % (snapshot, t[i], *X_center_stars, phi_inertia, theta_inertia, phi_L, theta_L, M_disk, a_mn, b_mn, *X_center_halo, M_halo_plummer, b_halo_plummer, rho_0_nfw, b_nfw, lsq_nfw)) - + output_file.write('%d %.8E %15.8E %15.8E %15.8E %15.8E %15.8E %15.8E %15.8E %.8E %.8E %.8E %15.8E %15.8E %15.8E %.8E %.8E %.8E %.8E %.8E\n' % (snapshot, t[i], *X_center_stars, phi_inertia, theta_inertia, phi_L, theta_L, M_disk, a_mn, b_mn, *X_center_halo, M_halo_plummer, b_halo_plummer, rho_0_nfw, b_nfw, lsq_nfw)) + output_file.flush() +output_file.close() f.close() \ No newline at end of file diff --git a/plot_orbits_from_scattering_experiments.ipynb b/plot_orbits_from_scattering_experiments.ipynb new file mode 100644 index 0000000..4d2403f --- /dev/null +++ b/plot_orbits_from_scattering_experiments.ipynb @@ -0,0 +1,365 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "from pylab import *\n", + "import matplotlib\n", + "matplotlib.rcParams['figure.dpi'] = 120\n", + "import matplotlib.patches as patches\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "data = loadtxt('results.dat')\n", + "x0, y0, z0, vx0, vy0, vz0 = data[:,:6].T\n", + "x, y, z, vx, vy, vz = data[:,6:].T\n", + "\n", + "d = sqrt(x**2 + y**2)\n", + "vd = (x*vx + y*vy)/d\n", + "vt = (x*vy - y*vx)/d\n", + "\n", + "d0 = sqrt(x0**2 + y0**2)\n", + "vd0 = (x0*vx0 + y0*vy0)/d0\n", + "vt0 = (x0*vy0 - y0*vx0)/d0\n", + "\n", + "\n", + "target_pos = array([-9.1817914423447837E+03, -2.3161972143758221E+03, 4.2321813890923086E+03]) # pc\n", + "target_vel = array([ 1.6995805137819784E+02, 1.3476658021349482E+02, -1.3342192079702110E+02]) # km/s\n", + "target_pos *= 0.001 # Now in kpc\n", + "target_vel *= 1.0226911647958985 # Now in kpc/Gyr\n", + "\n", + "target_x, target_y, target_z = target_pos\n", + "target_vx, target_vy, target_vz = target_vel\n", + "target_d = sqrt(target_x**2 + target_y**2)\n", + "target_vd = (target_x*target_vx + target_y*target_vy)/target_d\n", + "target_vt = (target_x*target_vy - target_y*target_vx)/target_d" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "def density_map(x, y, q=None, bin_edges=None, n_bins=32, log=False, **kargs):\n", + " if bin_edges is None:\n", + " x_min, x_max = x.min(), x.max()\n", + " y_min, y_max = y.min(), y.max()\n", + " x_bin_edges = linspace(x_min, x_max, n_bins+1)\n", + " y_bin_edges = linspace(y_min, y_max, n_bins+1)\n", + " else:\n", + " x_bin_edges, y_bin_edges = bin_edges\n", + " x_min, x_max = x_bin_edges[0], x_bin_edges[-1]\n", + " y_min, y_max = y_bin_edges[0], y_bin_edges[-1]\n", + " counts, _, _ = histogram2d(x, y, bins=[x_bin_edges, y_bin_edges])\n", + " if not q is None:\n", + " value, _, _ = histogram2d(x, y, bins=[x_bin_edges, y_bin_edges], weights=q)\n", + " counts[counts==0] = nan\n", + " value /= counts\n", + " else: value = counts\n", + " if log: value = log10(value)\n", + " return imshow(rot90(value), extent=[x_min, x_max, y_min, y_max], **kargs)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/home/meiron/local/lib/python3.7/site-packages/ipykernel_launcher.py:17: RuntimeWarning: divide by zero encountered in log10\n" + ] + }, + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "figsize = rcParams['figure.figsize']\n", + "fig = figure(figsize=[figsize[0]*1.5, figsize[1]])\n", + "\n", + "subplot(121)\n", + "bin_edges = linspace(-100,100,128)\n", + "density_map(x0, z0, bin_edges=[bin_edges, bin_edges], log=True, cmap='Spectral', vmin=0, vmax=3)\n", + "xlabel('$x$ [kpc]')\n", + "ylabel('$z$ [kpc]')\n", + "subplot(122)\n", + "image = density_map(x, z, bin_edges=[bin_edges, bin_edges], log=True, cmap='Spectral', vmin=0, vmax=3)\n", + "gca().set_yticklabels([])\n", + "xlabel('$x$ [kpc]')\n", + "plot(target_x, target_z, 'm*', mew=0)\n", + "subplots_adjust(left=0.075, bottom=0.15, top=0.95, right=0.9)\n", + "cbar_ax = fig.add_axes([0.92, 0.15, 0.02, 0.8])\n", + "cbar = fig.colorbar(image, cax=cbar_ax)\n", + "cbar.set_label('$\\log_{10} \\Sigma$ [arbitrary units]')\n", + "savefig('initial_and_final_projected_densities.png')" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "figsize = rcParams['figure.figsize']\n", + "fig = figure(figsize=[figsize[0]*1.5, figsize[1]])\n", + "\n", + "subplot(121)\n", + "bin_edges = linspace(-100,100,128)\n", + "density_map(x0, z0, q=vy0, bin_edges=[bin_edges, bin_edges], log=False, cmap='Spectral', vmin=-200, vmax=200)\n", + "xlabel('$x$ [kpc]')\n", + "ylabel('$z$ [kpc]')\n", + "subplot(122)\n", + "image = density_map(x, z, q=vy, bin_edges=[bin_edges, bin_edges], log=False, cmap='Spectral', vmin=-200, vmax=200)\n", + "gca().set_yticklabels([])\n", + "xlabel('$x$ [kpc]')\n", + "subplots_adjust(left=0.075, bottom=0.15, top=0.95, right=0.9)\n", + "cbar_ax = fig.add_axes([0.92, 0.15, 0.02, 0.8])\n", + "cbar = fig.colorbar(image, cax=cbar_ax)\n", + "cbar.set_label('$v_y$ [kpc/Gyr]')\n", + "savefig('check_for_systematic_rotation.png')" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Ellipsoid aspect ratios:\n", + "b/a = 0.9156\n", + "c/a = 0.4693\n", + "\n", + "Ellipsoid minor axis dirction:\n", + "θ = 8.0773°\n", + "ϕ = 144.3822°\n", + "\n", + "Miyamoto-Nagai parameters from medians:\n", + "a_mn = 10.1346 [kpc]\n", + "b_mn = 7.1859 [kpc]\n" + ] + } + ], + "source": [ + "import ellipsoids\n", + "Q = ellipsoids.quadrupole_tensor(x, y, z)\n", + "eigenvalues, eigenvectors = np.linalg.eig(Q)\n", + "i = np.argsort(eigenvalues)\n", + "print('Ellipsoid aspect ratios:')\n", + "print('b/a = %8.4f' % (np.sqrt(eigenvalues[i[1]]/eigenvalues[i[2]])))\n", + "print('c/a = %8.4f' % (np.sqrt(eigenvalues[i[0]]/eigenvalues[i[2]])))\n", + "R = ellipsoids.rotation_matrix_from_eigenvectors(eigenvectors, eigenvalues)\n", + "direction = R[2,:]\n", + "if direction[2] < 0: direction = -direction\n", + "theta = arccos(direction[2]/linalg.norm(direction))\n", + "phi = arctan2(direction[1], direction[0])\n", + "print('\\nEllipsoid minor axis dirction:')\n", + "print('θ = %8.4f°' % rad2deg(theta))\n", + "print('ϕ = %8.4f°' % rad2deg(phi))\n", + "\n", + "import scipy.optimize\n", + "def miyamoto_nagai_params_from_medians(m_d, m_z):\n", + " m_d_pred = lambda x: exp(1.43475163 + (1.04827148*log(x)-1.09023112)*(arctan(log(x)/2.30939056)/pi+0.5))\n", + " m_z_pred = lambda x: 5.77340E-01*x\n", + " b_over_a = scipy.optimize.brentq(lambda x: m_d_pred(x)/m_z_pred(x)-m_d/m_z, 1/64, 64)\n", + " a1 = m_d/m_d_pred(b_over_a)\n", + " a2 = m_z/m_z_pred(b_over_a)\n", + " a = 0.5*(a1 + a2)\n", + " b = a*b_over_a\n", + " return a, b\n", + "\n", + "m_z = median(abs(z))\n", + "m_d = median(sqrt(x**2+y**2))\n", + "a_mn, b_mn = miyamoto_nagai_params_from_medians(m_d, m_z)\n", + "print('\\nMiyamoto-Nagai parameters from medians:')\n", + "print('a_mn = %8.4f [kpc]' % a_mn)\n", + "print('b_mn = %8.4f [kpc]' % b_mn)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0, 0.5, '$r_\\\\mathrm{final}$ [kpc]')" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "r = sqrt(x**2 + y**2 + z**2)\n", + "r0 = sqrt(x0**2 + y0**2 + z0**2)\n", + "plot(r0, r, ',', alpha=0.25)\n", + "xlim(0,75)\n", + "ylim(0,150)\n", + "xlabel('$r_\\mathrm{initial}$ [kpc]')\n", + "ylabel('$r_\\mathrm{final}$ [kpc]')" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "65403" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "len(x)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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\n", 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\n", + "text/plain": [ + "
" + ] + }, + "metadata": { + "needs_background": "light" + }, + "output_type": "display_data" + } + ], + "source": [ + "X0 = r_[[x0],[y0],[z0]].T\n", + "X = r_[[x ],[y ],[z ]].T\n", + "V0 = r_[[vx0],[vy0],[vz0]].T\n", + "V = r_[[vx ],[vy ],[vz ]].T\n", + "L0 = cross(X0, V0)\n", + "L = cross(X , V )\n", + "L0_mag = linalg.norm(L0, axis=1)\n", + "L_mag = linalg.norm(L, axis=1)\n", + "bin_edges = linspace(0, 1000, 129)\n", + "hist(L0_mag, bins=bin_edges);\n", + "hist(L_mag, bins=bin_edges, alpha=0.75);\n", + "legend(('$|\\mathbf{L}_\\mathrm{initial}|$', '$|\\mathbf{L}_\\mathrm{final}|$'))\n", + "figure()\n", + "bin_edges = linspace(-900, 900, 129)\n", + "hist(L [:,0], bins=bin_edges, alpha=1.00);\n", + "hist(L [:,1], bins=bin_edges, alpha=0.75);\n", + "hist(L [:,2], bins=bin_edges, alpha=0.75);\n", + "legend(('$L_x$', '$L_y$', '$L_z$'))" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.7.2" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/plot_subhalo_parameters.ipynb b/plot_subhalo_parameters.ipynb index f2d8d8d..36c73a3 100644 --- a/plot_subhalo_parameters.ipynb +++ b/plot_subhalo_parameters.ipynb @@ -1,5 +1,13 @@ { "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Subhalo parameters\n", + "This uses the output of the `parameterize-all.py` script, which itself analyzes the particle distribution in the selected halos' HDF5 files." + ] + }, { "cell_type": "code", "execution_count": 1, @@ -18,16 +26,45 @@ "from pylab import *\n", "import matplotlib\n", "matplotlib.rcParams['figure.dpi'] = 120\n", - "import scipy.interpolate" + "import os, scipy.interpolate\n", + "from IPython.core.display import display, HTML" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "NOTE: using the default file name. Custom halo number could be set through the COSMORELAY_HALO_NUM environment variable." + ], + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "data_path = './results'\n", + "defualt_file_name = 'subhalo_411321_parameters.dat'\n", + "if 'COSMORELAY_HALO_NUM' in os.environ:\n", + " file_name = 'subhalo_%s_parameters.dat' % os.environ['COSMORELAY_HALO_NUM']\n", + "else:\n", + " display(HTML('NOTE: using the default file name. Custom halo number could be set through the COSMORELAY_HALO_NUM environment variable.'))\n", + " file_name = defualt_file_name\n", + "file_name = os.path.join(data_path, file_name)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, "outputs": [], "source": [ - "file_name = 'subhalo_411321_parameters.dat'\n", "data = loadtxt(file_name)\n", "snapshot = data[:,0]\n", "t = data[:,1]\n", @@ -47,16 +84,24 @@ "lsq_nfw = data[:,19]" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Halo and disk comparison\n", + "This compares the mass of the halo (i.e. total mass of dark matter and gas particles) with the mass of the disk (i.e. total mass of star particles)." + ] + }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Halo is on average x52 more massive and x53 larger than the disk\n" + "Halo is on average x52 more massive than the disk\n" ] }, { @@ -70,18 +115,6 @@ "needs_background": "light" }, "output_type": "display_data" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" } ], "source": [ @@ -90,21 +123,19 @@ "xlabel('$t$ [Gyr]')\n", "ylabel('$M\\ [\\mathrm{M}_\\odot]$')\n", "legend(('disk', 'halo'))\n", - "\n", - "figure()\n", - "semilogy(t, a_mn, c='C0', label='disk')\n", - "semilogy(t, b_mn, c='C0', ls='--')\n", - "semilogy(t, b_halo_plummer, c='C1', label='halo')\n", - "xlabel('$t$ [Gyr]')\n", - "ylabel('length scale [kpc]')\n", - "legend()\n", - "\n", - "print(f'Halo is on average x{mean(M_halo_plummer/M_disk):.0f} more massive and x{mean(b_halo_plummer/a_mn):.0f} larger than the disk')" + "print(f'Halo is on average x{mean(M_halo_plummer/M_disk):.0f} more massive than the disk')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Shift between the halo and disk density centres" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": {}, "outputs": [ { @@ -135,9 +166,16 @@ "print(f'Maximum distance between stellar and halo centres is {distance.max():.2f} kpc')" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Disk length scales" + ] + }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -146,13 +184,13 @@ "Text(0, 0.5, '$b/a$')" ] }, - "execution_count": 6, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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\n", 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" ] @@ -173,14 +211,22 @@ "gca().set_xticklabels([])\n", "axes([0.05,0.0,0.9,0.3])\n", "plot(t, b_mn/a_mn, '--', c='C2')\n", - "ylim(0,2)\n", + "ylim(0,4)\n", "xlabel('$t$ [Gyr]')\n", "ylabel('$b/a$')" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Orientation of the disk\n", + "This plots the disk's orientation (direction of its minor axis) according to quadrupole tensor and angular momentum analyses." + ] + }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -217,9 +263,17 @@ "subplots_adjust(hspace=0.075)" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "## Avoiding discontinuity in $\\phi$\n", + "Since $\\phi$ has a range of between –180° to +180°, it could have unphysical jumps in the time curve when rolling over. Here we attempt to fix it." + ] + }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -228,7 +282,7 @@ "Text(0, 0.5, '$\\\\phi$ [deg]')" ] }, - "execution_count": 8, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, @@ -246,8 +300,7 @@ } ], "source": [ - "# Make sure we don't have these weird jumps between -180 to +180\n", - "def fix_continuity(input_array, threshold_factor=0.95):\n", + "def fix_continuity(input_array, threshold_factor=0.8):\n", " arr = input_array.copy()\n", " threshold = threshold_factor*2*pi\n", " for i in range(1, len(arr)):\n", @@ -261,40 +314,11 @@ ] }, { - "cell_type": "code", - "execution_count": 9, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "" - ] - }, - "execution_count": 9, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], "source": [ - "# Inspecting the coordinates of the centre as a function of time\n", - "# Hopefully they look kinda like straight lines\n", - "plot(t, X_center_stars)\n", - "xlabel('$t$ [Gyr]')\n", - "ylabel('$\\mathbf{r}$ [kpc]')\n", - "legend(('$x$', '$y$', '$z$'))" + "## NFW parameter\n", + "Plotting the two NFW parameters $\\rho_0$ and $b$. The bottom graph is the sum of squares divided by number of data points (indicates goodness of fit)." ] }, { @@ -304,19 +328,9 @@ "outputs": [ { "data": { + "image/png": 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\n", "text/plain": [ - "Text(0, 0.5, '$\\\\mathbf{r}_\\\\mathrm{corrected}$ [kpc]')" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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CMTEKIcT5sNTBno/1RiIlR5raPfxh9H26d1WS1S5F5qQK0dXUVcKhlToxTV/VchEU6ALag27UyWnkEBnSF0J0Dm6eeoh/6C2wfwmsewHy94K5Etb9A7a+AWN/DqPvl2kAApAkVQjnYKqAQyt0YprxLVhMLa97+EO/q/Q2hEnT9S97IYTojFxcdfmqgXP1F/G1f4Pj23UJq9V/gk2vwfj/0ZuNyO+6bk2SVCEcxWrRc0t3fwhpX52amHoGQv8ZOjHtM1lqmwohuhbDgL6X6y/eB5fr+qoF+6G6AFY8AT/+H0x8AobMB1dJV7oj+a8uREc7sU+vzN+zqOUiAgCvIOg/y56YTpIyLUKIrs8w9BfyvldC6mK9+r/kiN7G+YuHYcO/YNJTuufVxcXR0YoOJEmqEB2hMh/2LtK1TPP3trzm5qUT0yE36cRU9r0WQnRHLi4w6Hr9JX3XB7D271BxHIoz4LO79S5Wk56EAbMlWe0mJEkVor2Ya+DgMj2cf3gNKFvL63FjdWKaPAe8AhwToxBCOBtXdxhxJwy+Cba9Beueh5oiKDwAi+7QmwJMegr6z5SFo12cJKlCtKXKE3pl/qEVer5pfU3L6yEJen7V4BshOM4hIQohRKfg7gWXPQgj7oAtb8CGF6G2RG8K8PEturrJ1KchcaqjIxXtRJJUIS6GUnBiDxxcAYeWQ+7OU5/jHaxXsg6ZD9Ej5Ju/EEK0hocvjPsFjLwbNv8HNr4MpjLI2w3vz9ULS6f/CSIHOzpS0cYkSRWitcw1em/qQyt0gf3K3FOf4xOmd4DqPxMSp8sCKCGEuFie/jDhMRj1U9j0qk5WzVVw5Dv4zwQ9fWrybyAoxtGRijYiSaoQ56MyH9K+1EP5R384tVwUQPhA6Hcl9L0KoofrWoBCCCHallegXkB1yd2w9jm95arNouf/71sMl96vt4iW3as6PUlShTgTpSBrk94FZf9S/UuwOVcPiJ+gy6YkXS5zTIUQoiP59YCZ/9A7VK3+Axz4Eqx1eu7qjndhwq/0FAHZEKDTkiRViJOZq2HPJ7D1TT1Bvzm/CD2M3/dKiJ8Inn6OiVEIIYQWlgjz3oeszbDqd5C9GWpLYeVTsOV1uOJZ6DdD1gN0QpKkCtGgLBs2vQI7P4C68qZ2Vw9dJmrk3dBrlNTnE0IIZxQ7Gu5aqXfwW/U0lByG0qPw0c26U+HKv0FEsqOjFK0gSaoQpZm6Dt+uhWCrb2oP6KX3jh5+hx5WEkII4dwMAwZcrUe7tr0F3/1FVwI4uhZeGwuX3KUXV/mEODpScR4kSRXdV8kRnZzu/qjlfNP4CTDqXr0ASvaLFkKIzsfVHUbfB4Nu0InqtrdAWfU0rr2f6s0ARt4tO/w5OfkEFt1P8WG9vd6ej/UvrQZ9r4KJj+tapkIIITo/nxC9uOqSu/Qc1SPf657VFU/oxPWKv0DSNEdHKc5AklTRfVQXww9/19+km/ec9p8FEx6HqKGOi00IIUT7iUiG25bAweXwzW/0SFrRQfjgOj014PJn9QIs4VQkSRVdX70JtvwHfni+5YKoAbN1ciq7lAghRNdnGNB/ht5GdfNrsPZ/wVypN2bJWK2nB0z8la7DKpyCLFMWXZfNpuce/d9IWPX7pgS193i493uY954kqEII0d24ecLYn8PPdsDw2wFDL5r98f/gpeGw/R2wWc/1KqIDSJIquqZj6+HNqfDZ3VCepdvC+sL8j+GOLyFqmGPjE0II4Vh+4TD7Zd1pEXuZbqspgi9/Dq9PhMyNjoxOIEmq6GpytsG7c+CdmZC7Q7f59oBZL8ADP+ptS6WgsxBCiAZRQ+Eny+H6t3TpQYATe+Htq+DTu6A8x7HxdWMyJ1V0DSf2wppn4dDypjY3bxjzsB7W8fR3XGxCCCGcm2FAynW6ysvGl2D9C2Axwb7PIG0ZjHsUxv4M3L0dHWm3Ij2ponMrPASL7oTXxjUlqK4eMOo++PkumPJbSVCFEEKcHw8fmPQkPLwNBl6r2yy18P1f4P9GQeoSUMqxMXYj0pMqOqeyLPj+b7D7Q1A23Wa4wrBb9Yr9oBjHxieEEKLzCoqBG96BkffA8ichf69e37DoDr349sq/Qc8UR0fZ5UmSKjqXqgJdiH/bW822MDVg8I0w8QkITXBoeEIIIbqQ3uPgvrV6xf+aP0NtCRxbB/8ZL1usdgBJUkXnYCqHDS/Bplehvrqpvf8sPaQfPsBxsQkhhOi6XFz1FqoDr9UjeFvfbNpidd9imPo7GH6Hfp5oUzInVTi3+lrY8CL8azCs+0dTgtpnEtyzBm76QBJUIYQQ7c8nBGb8HR7YAPETdFttCXz1qL1k1Y+Oja8Lkp5U4ZysFtj1Pnz/HFTmNrVHj4Cpv9dJqhBCCNHRwgfA7V/AgS9g5W+gPNtesupKGHQjXP4M+Pd0dJRdgiSpwrkoBfuXwppnoDijqb1Hfz2s33+W1DkVQgjhWIYByddA4nQ92rfhX7pk1d5P9Dark38NI38KrpJmXQwZ7hfOQSk4/B28MVmvnmxIUAN6wTWvwAMbYcDVkqAKIYRwHh4+MPkpeGiL7kQBqKuAFU/C65Mga7NDw+vsJMUXjqUUpH+jV+znbGlq9w7RpaQuuQvcvRwXnxBCCHEuwXF6jUT6t7DsMSg9qstWvXU5DL0Vpv8RfMMcHWWnI0mqcAybVc/nWfe8nsvTwN1X7xJ12cPgFeC4+IQQQojWSpoGD27SUwDW/1NPAdj1PqR9pddTjLhTqgC0giSpomNZ62HvIr3lXNGhpnbPAF00+dIHwa+H4+ITQgghLoa7F0x6QtfvXv4EpK8EUxl8/UvY+R7MfF4vAhbnJEmq6BhK6cnkK38NJUea2r1DdGI66qfgHeS4+IQQQoi2FBIPt3wCact0slqeBbk74Y2peirb1N+Bd7Cjo3RqkqSK9leQBiufgsNrmtr8esKYR/TQh6efw0ITQggh2lX/Gbps4vp/6mkAVjNsW6CnvF3+Zxg8TxYFn4Gs7hftp7ZU73n86pimBNUrUO95/PPdeu6pJKhCCCG6Og8fXUbxgY0QP1G3VRfC5/fBO7N0Z444hSSpou1ZLbB1Abw0HDa/qrePM1z08MYjO+HSB2TFvhBCiO4nLAluXwrXLQC/CN2WuR5eGwvf/hHqTY6Nz8lIkirajlKQugReGa0niNeW6Pa4cXDfDzDrBfANdWyMQgghhCMZBgy6Hh7eCqPv1504NoueDvDaWDi2wdEROg1JUkXbOF0h/sBYuOG/cOdX0HOQY+MTQgghnIlXIFz1HNz7PUQO1W3FGfDODPjyF2Aqd2R0TkGSVHFxjm+H/86G9+boVYugV+xf8Rf9LXHgHJkQLoQQQpxJ5BC4Z7VeROXmrdu2vw3/Hg1pXzs2NgeT1f3iwhQfhtV/hP1Lm9qkEL8QQgjReq5uuuJN/5m6F/XoWqjMg49uhuRr4Kr/Bf8IR0fZ4SRJFa1TU6K3MN3yOtjqdZuLO4y8G8Y/JoX4hRBCiAsV0kcvrNr1Aaz8jd4EYP9SOPI9XP4sDLu1W41OSpIqzo/FDFvfhLXP6X80DQbPg8m/0fsWCyGEEOLiGIZORhOnw/Jfwf4len7qFw/Dvk/h6pe6zWeuzEkVZ6cUHPhSr9hf+VRTgho3Tk/2nvt6t/nHIoQQQnQY/wi48b9w00Lwj9RtR77Xtce3vAE2m0PD6wiSpIozy92liwx/fGvTVqYhCTDvA71iP2qYY+MTQgghurr+M+GhzTD8dv2zuQqWPQbvzm65zXgXJEmqOFVFHnz+ALw+SRcZBvAK0jtFPbgJBszqVnNihBBCCIfyCoTZL8Ntn0NgjG47tg5eHQubXu2yvaoyJ1U0UUovilr/T6iv0W0ubjDqXpjwOPiEODY+0ebqrTYKK+soqTZTVFVHcZVZP66uQynwcnfFx8MVb3d9eHm44mNvC/HzINTXk2Afd9xc5fuuEEK0u4Qp8OCPsOpp2LZAf1aveBIOfAXXvgpBsY6OsE1JkiqaGAaUHWtKUPvNhOl/grBEh4YlLo7ZYiO7tIZjRdUcK64hs7iao0XVZBbXcLysFqtNXdTrGwYE+3gQ6utBqJ8HEQFe9Az0IirQu8U51NcDFxfpgRdCiIvi6Q+z/gkDr9WLqUqP6VHPV8bozQGG3txlRjslSRUtTfmdroE66SnoM9HR0YgLVFhZx5q0fFbtL2B9RiGm+tYNBbm7Gri6GOd1n1JQUq17YNMLzvw8TzcX4kJ9iA3xpXeoD3GhPsSF+hIX6kNUkDfu0hsrhBDnL3483L8BvvmtLv5vroSlD8LBZTDrX12iJKSh1MX1ooiOYxjGQGDfvn37GDhwoKPDEU5EKcWh/Cq+PZDPqv357M4p40z/tP083YgL9aF3mE4Wo4K8CfPzJMzPgxBfT0L9PPD3dMMwDGw2RZ3FRo3ZQm29FVO9lRqzlao6C6XV9RRX11FUZabYPlWgqKqOvHIT+RUmLK3ooXV1MYgK8iIuxJeYEB9i7UdCuC9J4f64Sg+sEEKc2aFvdK9qVb7+2beHLlXVf4ZDw0pNTSUlJQUgRSmV2tr7pSdViE4st6yWz7bn8OmOHDKLa065HurrwZT+4YyKDyE+zJfeYb6E+npgnOdQkIuLgbeHK94erq2Ky2ZTjQlrXnktuWUmsktryCqu4VhxNdkltZitTb20Vpsiu6SW7JLaU17Lz9ONYbFBDI8N5pLewQyNCcLfy71V8QghRJfW93J44Ef4+lFd/L+6ED6ar+utXvHXTrsLpPSktjPDMDyBPwG3AcHAHuC3SqlVF/Ba0pMqMNVb+WZ/Pou2ZbM+o+iUHtOkcD+mJUcwbUA4Q2OCnbIX0mpTnKgwkVms58Zmlegj234uq6k/472GAf0i/BkRF8yIuGAuSwglMtC7A6MXQggnpRTsXQRfPwZ15botKBbmvAq9x3V4OBfbkypJajszDOND4HrgX0A6cCcwEpislFrfyteSJLUbSztRwcLNWSzZeZwKk6XFtQGRAcwdFs305Ah6h/k6KMK2U15bT3ZJDftzK9ieWcr2rFIyCqrO+Pw+PXwZnxjG2MQwLk0IJUB6WoUQ3Vl5Dix5EI6utTcYMOYRmPJbcPPssDAkSXVihmGMAjYDjyul/mFv8wL2AQVKqTGtfD1JUruh1NxyXlqdzsrU/Bbtgd7uXDssmutH9CIlOtBB0XWc0mozO7NLddKaWcqu7LLTLuxydTEYFhPE1AG6Nzkx3O+8pzcIIUSXYbPB1jdg1e/BYtJtEYP0TpERyR0SgiSpTswwjL8DvwRClFIVzdqfAv4CxCqlslvxepKkdiOpueW8+G063+xvSk4NAyYk9eDGS2KYlhyOp1vr5op2JfVWG/uOl7PxcDHr0gvZnllKvfXU32exIT5MHRDOtAERjIoPkSoCQojupfAQLP4p5O3SP7t6wrSnYfQD4NK+vw8lSXVihmGsAqKVUskntU8FvgVmK6W+bMXrSZLaDew7Xs6Lq9NZ1Sw5dXUxuHZYNA9PTuwSw/ntocZsYcvREtalF7EmrYCjRdWnPMff043pyRHcNCqWkb2DpYdVCNE9WMyw9jm9WY/SI1DLYofjPuhZpo9s1aBuq0iS6sQMw9gH5Culpp7UngykAvcrpf5zhnvDgZOLnCUASyVJ7ZrOlJzOHRbNw1MSiQuV5LQ1DhdWseZAAd8eyGdbZukpmxYkhvsxf1Qsc4dFE+zr4aAohRCiA2VtQi2+l+yq48zqFYmngsfjbuTGKb9vl7eTElTOzRuoO027qdn1M3kQeLrNIxJOJ7/CxB+/TGXZ3hONbW4uBtcN78VDkxOJDfVxYHSdV0IPPxJ6+PHTCX0oqzGz9lAhK1NPsGp/PvVWRUZBFc98tZ/nVqQxI6Un80fFMio+RHpXhRBdVrbfYP7g/QLK+D3KqMBkQE1VuKPDOiNJUttXLXC6ZXReza6fySvAopPaEoClbRCXcAJKKT7dnsMzX+1vXK3v5mJw/QidnMaESHLaVoJ8PLhmaDTXDI2muKqOz3bk8OGWbI4WVWO22FiyK5clu3JJDPfjp+PjmTMsulvP9xVCdC02m+KDLVn8ddkBaixV+CWZMIBhbj25c/b9jg7vjCRJbV95QPRp2iPt59wz3aiUKgButqQKAAAgAElEQVRabDIpPTxdx/GyWp5avJcfDhU2ts0eEsXjV/ST5LSdhfp5cu+EBH46vg8/Hinmwy3ZrNiX19i7+sRne/nnqkPcPS6e+aNiZeMAIUSnll1SwxOf7WHj4WIA3EO2YLiYAbhv0h8cGNm5SZLavnYBkw3DCGi+uh8Y3ey66GbWpRfyyIc7GwvWRwR48uycQUxLjnBwZN2LYRiMSQhjTEIYxVXJLNqewzsbjnGiwkR+RR1/WZbGy2syuO3SOH4yNp4e/h1XW1AIIS6W1ab478Zj/OObg9SYrQBEBrrjHrOdUjMkBCYwJqr9Fk21BanF0r4+BVyBexsa7DtQ/QTY3JryU6LzU0rx6veHueOtLY0J6g0jevHNoxMlQXWwUD9P7p+YwA+/msz/Xj+YxHA/ACpNFl75/jBjn1vDrz/fy4ly0zleSQghHG9/bgVzX9nAn77a35igzh8Vw+PXmSk160HaW5NvdfoRWulJbUdKqc2GYSwC/mpfrZ8B3AH0Bu52ZGyiY1XVWfjVp7sbF0d5ubvw3HWDuWbo6WaDCEfxcHPhhktiuG54L1anFfDa2sNszyzFbLGxcHMWX+3O5S9zBzFrcJSjQxVCiFOY6q28uDqd13840ljRJDbEh79cO4ixiaHcsuxvAAR7BjOrzyxHhnpeJEltf7cDzwC3AcHAHmCWUuoHh0YlOsyRwirue2876fZtPWNCvPnPrZeQHBXg4MjEmbi4GExPjmB6cgRbj5Xw6veHWZNWQIXJwsMLd7L6QAF/vGagbL8qhHAaGzKK+PXne8ksrgF0CcOfju/Dz6cm4e3hyq6CXewt2gvAjf1uxMvN62wv5xQkSW1nSikT8Lj9EN3Mt/vzefTjXVTW6dX745PCeHn+MIJ8pC5nZzGydwgj7wxhxb4TPLV4D6U19Xy+8zhbjpbwzxuHMLpPqKNDFEJ0Y6XVZv789QE+25HT2DakVyB/nTu4RWfIu/vfBcDdxZ2b+t/U4XFeCElShWgHNpviX6vTeWl1emPbg5MS+J/L++Hq4txzgMTpXZnSk+GxQTz+6R7WHirkeFktN72xiXsn9OHhyYlSBUAI0aGUUizZdZw/f3WA4mq9Wt/Hw5XHLu/HHWN6t/isyanMYXXWagBmxM8gzDvMITG3liSpQrSxkmozv/h4V2N5KV8PV56/cQhXpkSe407h7MIDvHjnJyN5b1Mmz359gDqLjf+sPcLCzVncOaY3d47pTaifVAEQQrSvA3kVPL00lS3HShrbJvfrwTNzUugVfGoZw4VpC7HZt0O9Lfm2DovzYkmSKkQb2pFVykMf7CDPvgq8T5gv/7ltBEkR/g6OTLQVwzC4/bLejEkI5Zef7GZPTjmVJgsvr8ngjXVHmD8qlp+O70NU0Nk2lBNCiNYrr63nhVWHeG9TZuPCqDA/T56+OplZgyNPu1q/ylzF4vTFAIzuOZp+If06NOaLIUmqEG1AKV2P7tllB6i36l8cMwdH8tx1g/HzlH9mXVFiuD9LHhzLmrQC/u+7DHZll2Gqt/H2hmO8vymTucN6cf+kBOLDfB0dqhCik7PZFJ/uyOG55WmNQ/uuLgZ3XNabX0xPOusizsXpi6murwbg9oG3d0i8bUU+PYW4SFV1Fp78bA9f7ckDwN3V4DczBnDHmN5OX4NOXBwXF4NpyRFMHRDOj0eKeeW7w6zPKKLeqvh4WzaLtmdzeXJPbh4dy7jEMFxkPrIQopU2ZhTx3Io0dueUN7aNjg/hT9ek0K/n2UfprDYrC9MWAtA7oDfjose1a6xtTZJUIS7C7uwyHv14F0eK9LfUqEAv/u+W4QyPDXZwZKIjNd+9ald2Ga98l8E3+/OxKViReoIVqSeICfHmppGx3HBJL8L9nb/0ixDCsfbmlPP3lWmsSy9qbIsI8OQ3M5O5+gxD+ydblbmK41XHAbh1wK24GJ1rDydJUoW4ABarjX9/d5iX1qQ3zgsanxTGizcNI8RXykt1Z0Njgnj99ks4lF/JGz8c4cs9uZjqbWSX1PK/Kw/ywqpDTE+O4JbRcYxNDJXediFEC0cKq3j+m0N8vTevsc3Hw5W7x8Vz38SE855CppTijb1vABDiFcLsxNntEm97kiRViFY6UljFLz/Zza7sMkAP7/9iWl/un5gg5aVEo74R/vzvDUP47axkluw8zsLNWRzMr8RiUyzfd4Ll+07QJ8yXWy+N47oRvQj0lhJWQnRnJ8pNvLg6nU+2ZTd2fri7Gtw8KpaHpyTRw791lUPWHV/HodJDgO5F9XbrfIs5DaWUo2MQ58kwjIHAvn379jFw4EBHh9PtKKV4f3MWf/n6ALX1ei/kpHA/Xpg3lJToQAdHJ5ydUoodWWV6e9U9udRZbI3XvN1duWZoFLddFsfAKPl/SYjupLTazGs/HOadDccafy8YBswZGs2j0/oSG3pqSalzUUpx+/Lb2VW4Cz93P1Zev5IAj47f5TA1NZWUlBSAFKVUamvvl55UIc5DQYWJX322h+8PFja23T0unsev6IeXu6sDIxOdhWEYjIgLZkRcML+bNYBPt+fw/qZMjhXXUFtv5aOt2Xy0NZvhsUHcdlkcV6VEyv9bQnRhxVV1vLn+KO9uPEa12drYPqV/OI9f0Y8BkReeVG7P386uwl0A3NT/JockqG1BklQhzqLGbOHNdUf5z9rDjb9EIgO9eP6GIYxJ7Bw7dgjnE+TjwT3j+3DX2HjWZRTx3o+ZrEnTC612ZJWxI6uMp5emMntoFNePiGFIr0CZuypEF1FYWccb647w3o+ZjaNyACPignniyv6Mig+56Pd4c++bAHi6enLrgFsv+vUcRZJUIU7DYrXxybYcXvj2EIWVdY3t1w6L5g+zB8r8QdEmXFwMJvbtwcS+PcgprWHh5iw+3ppNcbWZCpOF9zdl8f6mLBJ6+HL9iBiuHRZNz0CpDCBEZ5RTWsNb64+xcEsmpvqm6T4j4oL5+dQkxieFtcmX0dTiVDbkbgDguqTrCPUOvejXdBSZk9qJyJzU9qeUYtX+fJ5bkcbhwurG9gGRATx1VX8m9O3hwOhEd1BnsfJNaj6f7cjhh0OF2Jr9inYxYGLfHtw8Oo7J/Xrg5tq5yskI0d0opdh8tIR3Nhzjm/0nWvx7HhUfwi+mJnFZQttW+fjl979kVeYq3Aw3ls1dRqSf47bkljmpQrSRHVml/HXZAbYeK21siw7y5rEr+nLNkGgpxC46hKebK1cPieLqIVHkV5hYsvM4i7bnkFFQhU3BdwcL+e5gIZGBXswbGcO8kTFEBna+VbtCdGWmeitf7Mrl7Y3HOJBX0eLamIRQfjY1iUv7tH0P55GyI3yb+S0AM/vMdGiC2hYkSRXd3pHCKv6+4iArUk80tgV6u/Pw5ERuuyxOFq8Ih4kI8OK+iQncO6EPe3LK+XhbNkt3HqfabCWv3MS/vk3npdXpTOkfwS2XxjIhqYeUQRPCgfLKa3l/UyYfbsmmxL59KYCHmwvXDInizrG927WCx4J9C1AoDAzuGnRXu71PR5EkVXRbhZV1vLj6EB9uaapJ5+Hmwp1jevPQpEQCfWTeqXAOhmEwJCaIITFB/GbGAL7YncvCzVnsPV6OTcG3B/L59kA+0UHe3Dw6lvmjYmVTCSE6iM2m2HC4iI+2ZLMi9UTj5wnoHaJuuzSO+aNiCfVrXZ3T1sqtymXZkWUATIubRp/APu36fh1BklTR7VTXWXhj3RFe/+EINfYV+4ahF0X9z+X9iA6SoVPhvHw93Zg/Sieie3J03dUvdudSY7ZyvEzvavXi6nTmDI3izjHxJEd1ztIzQji7E+UmFm3L5uNt2eSU1ra4Njw2iDvHxnNVSk/cO2ju+Dup72BRFgDuGXRPh7xne7ugJNUwjIutj1CulLKe+2lCtK3d2WU88uFOskpqGtsm9O3Bk1f2lw9z0ekM7hXE4F5B/GbmAJbsyuWDTZmknajEbNHVKT7ZlsPo+BB+MrY30wZEyEIrIS5SrdnKdwcL+Gx7Dt8dLGixEMrTzYWZgyK5Y0xvhsQEdWhcRbVFLE5fDMDY6LEkhyZ36Pu3lwvtSS0CLqYswHRgzUXcL0Sr2GyKBeuP8tyKNCz23yop0QE8ddUAxkq9U9HJ+Xu5c9ulcdw6OvaUlcSbj5aw+WgJ0UHejQutIgKkjJUQ56vOYmXtwUK+2pPHtwfyG0fgGgyIDGD+qBiuGRLtsGli7+9/nzqrLpd4T0rX6EWFixvuXwLsaeU9vsD/XMR7CtFqxVV1PLZoN9/Zd4tyczF44sr+3D0uXlbsiy7FMAwu7RPKpX1CyS6psS/gyKLCZOF4WS3/XHWIF1enM21AODePjmN8Ypj8GxDiNOqtNtZnFPHV7jy+2X+CSpOlxXU/TzeuHhLF/FExDIp27GYbFeYKPjr4EQDDwocxImKEw2JpaxeTpH6mlFrYmhsMwwgFHruI9xSiVX48XMwvPt5JfoX+hhkT4s3L84cztIOHYoToaDEhPjw1YwA/n5bE5zuP88GmLPbnVWC1KVam5rMyNZ+YEG9uGhnLvJExhLXzog4hnJ3Vpth8pJgv9+SyfN8JymrqW1z3dndl6oBwrh4SxcS+PZym8stHaR9RXa/ret8z6J4utTvdhSapjwLbLuC+Kvu9By/wfYU4L1ab4sXV6by8Jp2G/SpmDo7kr3MHEeAlq/ZF9+Hj4cYto+O4eVQsu3PK+WBTJl/uycVUbyO7RC+0+te3h5gxKJLbL4tjeGxwl/qQE+JslFLsyCrjy925fL03r8UOg6ArvkzpF86sIZFM6R+Oj4dzrTevtdTy/v73AegX3I/x0eMdHFHbuqC/baXUixd4Xx1wQfcKcb4qTfXc//52NmQUA+Dl7sIfrh7IvJEx8uErui3DMBgaE8TQmCB+OyuZJTuPs3BzFgfzK6m3KpbuymXprlySIwO4/bI4rhkajbeHc/QUCdGWzBYb2zJL+C6tgGV7T3C8rOXKfHdXgwlJPZg1JJJpAyLwd+KOjcXpiymt0xvQ3DO4a/WiQhtti2oYhhvgo5SqOMP1AKBGKWU53XVxfmRb1HMrqTZz59tb2JNTDkBSuB//vmU4fSP8HRyZEM5HKcW2zFLe/TGTFfvyqLc2fR4EeLkxd3gv5g6PdvicOyEuVkGFie8PFvLdwQLWpRdRVdcyHXEx4LKEUGYPieKKgT0J8nH+OsNmq5kZi2eQX5NPXEAcS69ZiquLc32xdJZtUV8CJgApZ7i+Ab2a/+dt9H5CnCKvvJbbFmwho6AKgGkDwnl5/nDpDRLiDAzDYGTvEEb2DqGgcgAfb8lm4ZYs8spNVJgsvLPxGO9sPEZiuB/XDotmzrBoqSMsOgWL1cbunHK+P1jAmrQCUnNP7UNzMWB4bDCzBkcyY3Ak4f6dq+rF4vTF5NfkA3BXyl1Ol6C2hbbqST0CvKuU+sMZrj8N3KqUSrroN+vGpCf1zI4VVXPLm5sbh22uHRbN368f3GFFlIXoKixWG98eyOf9TVlsOFzEyR8Ro+NDmDs8mqsGRcr8buE0lFIczK9kQ0YxGzOK2Hy05JTeUoBgH3cm9u3B5P7hTEjqQXAn3ZmtzlrHjM9mUFBbQLRfNF9e+yXuLs7379FZelKjgONnuZ4LRLfRewnRwv7cCm5/awtFVXrC++2XxfGHqwdKaR0hLoCbqwtXpkRyZUokeeW1LN2Vy+c7jnMwvxJoqrv6+6WpTEuOYLaTrXQW3Ud2SQ0bMorYcLiYHw8XUVRlPu3zUqIDmNwvnEn9whkaE4RrF/hsWHRwEQW1BQDcP+R+p0xQ20JbJanFQL+zXB8AnHa+qhAXY3tmCT95eysV9hp2P5uSyKPT+8r8OSHaQGSgN/dPTOC+CX3Yn1fB5zuOs3R3LoWVddRZbHy9J4+v9+Th4+HKlP7hzBgUyaR+PZxuBbTo/JRSZBbXsOVoCZuOFrP5SMkpC54a9AzwYkxiKGMTwhiXFNblNq+otdTy5t43AYgLiGNWn1kOjqj9tNVvkhXAfYZhfKCU2tn8gmEYw4F7gUVt9F5CALA+vYifvruN2nq9+8dvZw7gnvF9HByVEF2PYRgMjApkYFQgT17Vnw2Hi/l8Rw4rU/OprbdSY7by1Z48vtqTh5e7C5P7hXNlSk8m9Q132A48onMrr6knNbecfbnl7MkpZ+uxksZ61ycL9Hbnsj6hjE0MZUxiGH3CfLt0R8UnBz+h2KSr19w/5H7cXLrul8K2+pP9DrgS2GIYxhdAw7yDFOBqoMD+HCHaxM6s0sYE1cWAv80dzI0jYxwdlhBdnpurCxP79mBi3x7Umq2sPVTI8n15rD5QQFWdBVO9jeX7TrB83wlcXQxGxAUzpX84U/uHkxju16WTB3FhSqrN7Dtezt7j5ToxPV5BVknNGZ/v7+nGyPgQRsWHMDYhjOSogC4xhH8+auprWLB3AQB9AvtwVe+rHBxR+2qTJFUplWsYxiXA34BrgGvtlyqAD4BfK6Vy2+K9hMgoqOKud7Y2JqgvzR/GrMFRjg5LiG7H28OVK1N6cmVKT0z1VtanF7FsXx6r9udTabJgtSm2HC1hy9ES/rY8jV7B3kzpH874pB4Miw2SXa66GZtNkVVSw/68CvbnVjSeT1SYznpfuL8nQ2OCGN0nlNHxIQyI7D5J6ckWpi1srIv6wNAHuuSK/ubarI9YKZUH3GHor8k97M2Fqi3KBwhhl1deyx1vbaHUvl3dn+cMkgRVCCfg5e7KtOQIpiVHYLbY2HK0hDVpBaxJy+dYse4Vyymt5d0fM3n3x0wAYkN8GBarNxgYFhtMcmQAHm5SkaOzqzVbOVJUxeHCag4XVHG4UD8+WlSFqd521nujg7wZGBVASnQgg6IDGRgVQHgXm1N6oarMVbyT+g4AScFJXB53uWMD6gBtOpHBMIwUYAbQ29501DCM5UqpfW35PqJ7Kq+p5463tjROlv/l9L7cPDrWwVE5XpW5ioyyDE7UnKDMVEapqZQSUwmldaX657pSbMqGj5sPXm5eeLt5N51dvQj2CibGP6bxCPEKkSFZcVE83FwYl6QXrfz+6mSOFFaxJq2A7w4WsPlICRab7rvIKqkhq6SGpbtyG+/rF+FPv57+9O/pT/+eAfTr6U8Pf+lxdTZ1FivZJbVkFldztKiazOIajhVXc6Sw+owLmpozDOgT5ktyVCADIv1JidIJaaj0rp/R+wfep7xOb1Tz0JCHcDG6/he6NklSDcPwBP4D3AYYQMNXJRfgb4ZhfADco5Q6fX0IIc6h1mzl7v9u5VC+LtR/+2VxPDIl0cFRdSyrzcqximOkl6ZzqPQQ6aXppJelc7zqbNXfWs/HzYfYgFj6BvflkohLGBU5img/qSAnLlyfHn706eHHPeP7UFVnYU92GTuzy9iZVcrOrDKKq/VHg9liY699bmJzob4e9I/0p3eoL7EhPsSE+OhzsI8szGonSinKaurJLq0hu6SW7FL9hSLLnozmltViO89x0uggbxLC/egT5ktiuB8Do/SXD6kCcf4qzBW8m/ouAANCBjAldoqDI+oYbfV/yHPA7cArwMvAYUABicDPgAeAEuAXbfR+ohuxWG088uEOtmXqeTgzB0Xy9NUDu01vX3ppOl8c/oKvjnxFUW3Red3j7+FPiFcIwZ7BBHkF4Wq4UmupxWQxUWupbXFUmFtWh6ux1JBWkkZaSRpfHP4CgGi/aEb2HMmonqMY2XMkPX17tvmfU3QPfp5ujEkMY0xiGKCToZzSWnZklbIru4wDeRUcPFHZOKUHoLjazIaMYjZkFJ/yev5ebsSG+BAd5E10sDfRQd70CvYmOsiHqCAvQnw9us3vivOllKLGbOVEhYm8MhO55bXklZnIK68lt9xEXlkteeWm0xbDPxM/Tzd6h/kQF+pLYg8/EsL9SOjhS3yYrySjbeDd1HeprNe1ih8a+lC3+X+6rXacKgK+VkrdcYbr7wFXKaXCLvrNurHuuOOUUoonPtvDJ9tyABibGMpbd47E061rTxYvMZWw7Mgyvjj8BQdKDpxy3cVwIdY/lqTgJJKCk+gb1Jde/r0I8QohyCuoVYWdTRYTx6uOk12ZTVZFFtmV2WRWZLK3aC9V9VWnvScuII5psdOY2WcmScGykZxoW0opCirrSDtRycETFfZzJVklNVSazj9xAvB2dyXM34Ngn4bDnSAfD0J89eMAb3cCvNzx93LDv/Hshq+HW6fZEEQpRYXJQnFVHcXVZoqrzBRX11FSZaakxkxJddNRWm2muNpMneXsc0NPJ9DbnZgQb3qH6uQzLtSXeHtiGipfBtpNUW0RMxfPpMZSQ0poCgtnLuw0f9fOsuOUO7DpLNc3oktRCdEqb6472pigpkQH8NqtI7psgmq2mvkh5weWHl7K+pz1WFTLD+MRESOYET+DgWEDSQhMwMutbRYTeLl5kRCUQEJQQot2i81CWkkaW05sYcuJLezI30GtRc81y6zIZMG+BSzYt4C+wX2Z2WcmM+JnSA+raBOGYRAR4EVEgBcT+/Zoca3cPgSdVVJDdkmN/XEtx0trOF5We8rCnNp6PXcyu+Tc8yRbxgABXu4E+bgT5K0T2+aPA7zd8XBzwcPVwM3FBTdXA3dXF9xcDNxcDVxd9GNXF6Px7GJPLBryC4Omn602RYWpnvLapqOi1kKN2UKN2dp0rrNSbbZQa9Znfc2K9XzH3s8i1NeDyCAvegZ4ExXkRa9gb2JDfOgVrKdYBHrL1ApHeG33a9RY9OLDR4Y/0mkS1LbQVj2pnwAeSqk5Z7i+FKhTSt140W/WjXW3ntSNGUXcumAzNqXnNC15aGyXXEBRaiplwd4FLDm8pHFSfINefr2YnTCbWQmziPF3bB3Yels9qUWpbD2xlbU5a9lduLvFdQODEREjuL7v9VzR+4ouXWBaOCelFKU19RwvreV4WQ05pbXklpkoqa6jtKae0hozpTVmyqrrqWzFUHZn5ufpRrCvOyG+noT42M++7gT7ehDh70VkkBdRgd70DPSSrW2d0JHyI8xdOhersjI2aiyvTX/N0SG1ysX2pLZVktoP+AQ9F/XfQIb9UhLwEBAPzAMKm9+nlCq56DfvRrpTknq8rJarX15PSbUZTzcXPntgDCnRgY4Oq02ZLCbeP/A+C/YuaDGs7ufuxxW9r2B2wmyGhQ9z2m/N2ZXZLDuyjK+Pfs3R8qMtrkX7RXPnwDuZkzinzXp8hWhLZouNslozFbUWKk31VJj0ubLZuby2nrKaespq6ymrMVNmT3RbO+XgQrm7Gvh4uOHr4YqPpxs+Hq72Qz/29XDD294W7ONBqJ8HoX6ehPrqx8E+HpJ4dnI/W/Mzvsv+DgODRVcvol/I2Xagdz7OkqQ2H185+QWNM7SjlJJ/Pa3QXZJUU72VG//zI3tydK/i8zcM4boRvRwcVdtacWwF/9j6D/Jr8hvbRkSM4Ma+NzIldkqnSuyUUhwoOcDXR77mqyNfUWJq+u4Z4hXCLQNuYV6/eQR6dq0vGaL7slhtVJos1Ftt1NsUFquNequi3mrDalNYbQpL41m3WawKhaLhI7fxbH9NFwP8vdwJ9G46vNxdnPZLqmh/205s4ycrfwLAnMQ5PDP2GQdH1HrOMif1T5wmCRWitZRS/G7JvsYE9Y7L4rpUglplruLZzc/y1ZGvGtsSgxL55YhfMi56XKf8QDIMg+TQZJJDk3lk2CMszVjKO6nvkFOVQ4mphJd3vsyCvQuY128edw+6W5JV0em5uboQ7Ovh6DBEF2ZTNp7f9jwAXq5ePDz0YQdH5BhttS3qH9ridYT4YHMWi7brhVKXxAXzm5nJDo6o7ewq2MWT655srGsa7BnMoyMeZXbC7C6ztZ2Xmxfz+s/jur7XsSpzFQv2LuBg6UFqLDW8nfo2izMWc//g+5nXbx7urrIIQwghTmflsZXsK9b7IN2WfBsRvhEOjsgx2mS7AsMwepzHc0a2xXuJrmt7Zil//FKPBoT7e/LKLcO7xBaJVpuV13a/xp0r7mxMUMdEjeGz2Z9xbdK1XSZBbc7NxY2r4q9i0dWLeHXaqwwLHwZAeV05z219jmu/uJbVWauRXZOFEKIls9XMizteBPSUqbsH3e3giBynrTKA1YZhBJ/pomEYk4Fv2+i9RBdUWFnHgx9sp96qcHc1ePXW4V1iv+bcqlzuWnkX/971b6zKiruLO49f8jivTnuVHj7n/G7X6RmGwbjocfz3yv/yr0n/ItZfb2ObWZHJL777BXetvIv9xfsdHKUQQjiPD9M+bOzQeHDIg/i6+zo4IsdpqyTVB1hlGMYpk80Mw5gFLAO2t9F7iS5GKcWvPt1NfkUdAL+/eiAj4kIcHNXFW3F0Bdd/cT07CnYA0CewDwtnLuT2gbd3iz2XmzMMg6lxU1lyzRKeGPkEAR4BAGzL38a8r+bx+w2/b7HgSgghuqPyunJe3/M6AL0DejO371wHR+RYbfVJORXoAawwDMOvodEwjJuAxcBqYEYbvZfoYj7YnMV3B3V1squHRHHr6FgHR3RxLDYLf9/6dx7/4fHGbezm9ZvHR7M+on9IfwdH51juru7cmnwry+Yu47bk2xprqX6e8TmzPp/Fx2kfY7VZHRylEEI4xut7Xm/cqvrREY+2avfArqhNklSlVCYwBYgBlhmG4WMYxr3A++gkdY5SytQW7yW6liOFVTz7td72MzLQiz9fk9IpV7g3KK8r58FvH+S9/e8BEOgZyIuTX+S3l/4WbzdvB0fnPAI9A/nVyF+x9JqlTOg1AYBKcyV/3vxn5n89nz2FexwcoRBCdKycyhw+TPsQgOHhw5kcM9nBETlem405KqUOA9OAvsAu4FXgbWC+Uqp7bO0hWqXeauPRj3dRW697zp6/YQiBPp33W2NGaQbzv57Pj3k/AtA3uC8fz/qYKbFTHByZ84oNiOXfU//Ny1NeJtovGoADJQe4ZdktPL3xaZkCIIToNl7a8RL1tjO636oAACAASURBVHoAHrvksU7dYdNWLihJNQwj5HQHUIDeWaon8F/gSSC42XUhGr28JoPd9nqo94yLZ0ximIMjunBrstZwy7JbyK7MBmB63HTeu+q9xsRLnN2kmEksuWYJ9w+5Hw8XXX9ycfpiZi+ZzZeHv5QqAEKILm1f0T6WH1sOwFW9r2JQj0EOjsg5XGhPahF6i9PTHWsAP+AOdNLa/JoQAOzIKuXf3+ndc/v39OexKzrXVm8NlFK8vud1fv7dz6mx1ADw0NCHeH7i8/i4+zg4us7Fy82Lh4Y+xOfXfM646HGAnj7x6/W/5qHVD3Gi+oSDIxRCiLanlOIf2/7x/+zdd3hUZd7G8e8z6ZBCDR3pvQsioBQruoIiYlkBxQqi7loQUdb+imXtdVkLKqAiiggrUpTei1RBOoQaQiAJpCfP+8ckMYRQEjKcmcn9ua5cM5x55pw7x5j85pynABDkCuLhdg87nMh7FHcyf60wJcV2PC2TR75dTVa2JTjAxVu3tPHJ9aUzszN5aclLfL/lewDKBJZh1KWjdHv/HNWOrM2Hl3/Ir7t/5aUlL3E49TDz986nz+Q+PN7+cW5seKNug4mI35gdM5uVB90TIN3W5DZqRvjPKovnqlhFqlaYknPx0v/+YNdh91XHx69uRNNqkQ4nKrqUzBSGzR3G3D1zAagRXoP3L3ufBuUbOJzMPxhjuOKCK+hQtQOvLX+Nn7b9xLGMYzy3+Dmm7ZzG852fV1cKEfF56VnpecufRgRHcF+r+xxO5F1K12SN4riZfxzk62XufpsX16vAPZfUczhR0R1JPcI9M+7JK1CbVmjK2GvHqkD1gKiQKP7vkv/jg8s/oEoZ97KAS/cvpc/kPozfOJ5sm+1wQhGR4vtiwxfsTtoNwJDWQ4gKOWm6+VJNRaqcN0eOpzPiB/fUQhGhgbxxcxtcLt+6bbv32F4GThuYN0VSx2od+ezqz6gU5ruDvnxB15pdmXT9JPo27Au4r2SPWjaKQb8MYnfibofTiYgU3f5j+/Mm7m9QrgG3NbnN4UTep7ij+9caY4o8Ob8xJirnvRcV57ji21783x/EHUsH4IXrm1OjnG/NG7opfhP9f+7PzsSdAFxb91o+uvwjwoPDT/9GKRERwRE81/k5Rl85Ou9W/6rYVdw05Sa+2/ydZgAQEZ/y+orXSc1yTyH/VMen8hY3kb8U90pqC6A416QDc96rv+qlzLzNh/hhlXst4subRHNDG9/qT7h0/1Lu/OVO4lLiALij2R2MunQUQQG+O6+rr+pUvRM/9P4h76pDSmYKLyx+gYd/e5jDKYcdTicicmaL9y1m5q6ZAFxT9xo6VO3gcCLvdC63+982xmwvyhewEs0KUOokp2fy9I/rACgbHMCLN/jWqlJzYuYwZNYQjmccB2BY+2E83uFxXEa9ZZxSJqgMT3V8itFXjia6TDQAc/bM4cafbmRuzFyH04mInFpGVgajlo0C3LPCPN7+cYcTea/iXlv+4hyPu+8c3y8+5K2Zm4mJTwHgiZ5NqO5Dt/mn75zOk/OeJNNmEmgC+b9L/o9r6xW5p4t4SO5V1ReXvMj0ndOJT43nwd8e5OZGNzOswzBCA0OdjigicoJxG8exI2EHAINbD877oC0nK+4UVINKOojTjDF34l7GtTDVrLUnzCRujOkNPAc0w71owefAiwWXgDXGlANeA/oAZYBlwGPW2lUlmd9brd1zlE8XuP9nbFe7HP0vvsDhRGdvyrYpjFw4kmybTbArmLd6vJW3zrx4j6iQKF7v+jrdanbj5aUvcyzjGBM2T2BV7Cpe7/q6Zl0QEa8RmxzLR2s+AqBuVF36N+3vcCLvpvuVJ3sGGFDg62j+BsaYa4Afc7Y/lPN8JPBegXYu4H/A34H3gSeAaGCOMaahR78LL5CRlc3w79eRbSEowPBK31YE+Mho/ombJ/L0gqfJttmEBoTy/uXvq0D1YsYYetXvxcTeE2kb3RaArUe3ctv/btOgKhHxGm+seCNvdcInL3pS4xrOQEPJTjbNWrviDG3+DawFrsq9cmqMSQSeMsa8Y63dlNPuJqAz0M9aOzGn3QRgM/A87uLVb30yfwcb9ycC8ED3BjSqEuFworMzbuM4Xln2CuDuL/TB5R/Qvmp7h1PJ2agRXoPPrv6Mj9d8zOi1o0nNSuWFxS+wZN8Snu38LJHBvrdwhIj4h+UHlvPzjp8BuPKCK+lcvbPDibyfrqQWwhgTYYwpdJ1OY0wz3Lf4Rxe4tf8hYHAXprluAg4CP+RusNYeAiYA1xtjQko6u7fYEXect2dtBqBBdDgP9KjvcKKz8+m6T/MK1IjgCP571X9VoPqYQFcgD7Z9kE+u+oToMHdfrxm7ZtDvp36sObTG4XQiUhqlZaXxwuIXAAgNCGVY+2EOJ/INKlJPNhtIBJKNMT8Vclu+bc7jCVdbrbX7gD35Xs9tu8rak5bFWYa7f2qjEkvtRay1jPhhLWmZ7m/7lRtbEhJYaM3vVb7Z9A1vr3obgHIh5fj0qk9pVbmVw6mkuC6qdhETe0+kW81uAOw7vo87pt3Bp+s+1e1/ETmv/rPmP3lzbA9tM5Rq4dWcDeQjVKT+JRkYAwzFPcjpNeByYJExpla+drk/WfsL2cd+oHqBtqdqR4G2JzDGRBtjmuf/AnzicuTElXtYsj0egAEXX0D7OhUcTnRmW45s4fXlrwNQMbQin1/9OU0rNnU4lZyr8qHlee+y9xjeYThBriCybBZvr3qbx+Y+RnJGstPxRKQU+DP+Tz5f7x6X3axiM/o302Cps+WXfVJzBiwFn2XzNOs2Afdt+Fw/GmOmA/OAp4HBOdtz509KK2RfqUD+Tm9hp2mXf1+FeQB49gzZvU5Sagav/vInAFUiQ3iiZ2OHE51ZWlYaT8x7gvTsdFzGxZvd39SIcD9ijKF/s/60q9KOx+c+TkxSDDN3zWRHwg7e6fEOtSNrOx1RRPxUZnYmzyx6hkybSYAJ4PnOz2tlqSIo8TNljDmrwUDW2vElfex8uuK+bX82mgKbCnvBWrvAGLMUuCLf5pScx8L6k4bmez237anaUaBtQR8C3xXYVh+YfJr3OO6937YSd8xdlz91bVMiQr1/5OLbK99m69GtANzb8l7aVWnncCLxhGYVm/H1375m+LzhLNy3kK1Ht3Lr/27l9a6v06VGF6fjiYgfGvvHWP44/AcAg1oMokmFJg4n8i2eKOfvzffchXt0+37c/TVrAlWBRYAni9RNwNnO5VrY7fj8YoD8lwNz21fLeS2/arj7m+ZvW1jHk9xtp1zUwFobi3v+1TzevkrTtkPH+CxnTtT2F5Snd+tT9mbwGgv2LmDsxrEAtKrcisGtB5/hHeLLokKi+ODyD3jv9/f4dP2nJKUn8cCvD/Bw24e5q8VdXv//mIj4jpjEGD5Y/QEAdSLr6O9LMZR4kWqt7ZH73BjzEfCdtfb9fNuGAi1K+rgFMhzA3b+0JNQDDuX79+qcx/bkK0iNMdVxF+GjC7S91BjjKjB4qiPuPrCbSyij46y1vDDlDzKzLcbAc72be/0f/PjUeEYuGAm4p5p65ZJXdBumFAhwBfDPC/9Jk4pNeGbhM6RkpvD2qrfZGL+RFzq/QJmgMk5HFBEfZ63l+cXPk5rl7t33bKdnCQnw2wl9PMbTA6duAz4qsO0/Odu9ijGmciHbrgUuBH7J3Wat3YD7Su19BaapGgJYYGK+bROBKsCN+fZZCegHTLHWFtZf1Sf9timWuZvdtfytHWrRokaUw4lOz1rLswuf5XDqYQCe6vgUtSJrneFd4k961unJV9d8RY3wGoB7CdwB0wZw4PiBM7xTROT0ftz6I0sPLAWgX6N+msqwmDxdpO4C7i6w7U5gt4ePWxyLjDETjDFPGGPuN8b8B3f/zxjg5QJthwGtgBnGmHuNMe8ATwGfWGs35ms3EVgCfG6MecYY8wAwBwjABwdFnUpaZhYvTnX3uYkIDeTxq7x/sNSEPycwZ88cAK6uczW96/d2NpA4onGFxnzzt2+4uNrFAGw+spnbf76dLUe2OJxMRHzVoeRDvL7CPVtMdFg0j1z4iMOJfJeni9R7gJHGmG3GmLnGmG24lx0tWLh6g2+BhriLzfeAnsB/gQ7W2oP5G1prp+K+Olohp+2NuAvZoQXaZQHX5uz7YeB1IA64zFr7pye/mfPpswU72XnYPZ3PI1c0omK4d9/S2H50e94vkCplqvCvi//l9V0TxHPKhZbjoys+4u9N3GM+Y5NjuWPaHSw/sNzhZCLii0YtG0VSehIAIy8eSUSwb6y26I082gHPWrvcGFMf6MRfc4YuttZmePK4xWGtHQmMLEL7H4Efz6LdEdzF+j3FT+e9Diam8v5v7qtODaPDGdDpAocTnV5WdhYjFowgLSsNg2HUpaOICvHurgnieYGuQJ686Emqlq3KmyvfJCkjiftn3s+oS0dxdZ2rnY4nIj7i112/MnPXTACuuuAqetTucYZ3yOmcj8n8ywF1gDrW2nlAFWOMJib0E69O28Tx9CwAnu3VnKAA714f4setP+ZNB3JnizvpULWDw4nEWxhjGNRiEC9f8jKBJpCM7AyGzR3GuI3jnI4mIj4gMT2R/1v6fwBEBkcyouMIhxP5Po9WFMaYq4ENQC/cE+KDu2D92JPHlfNj5a4j/PD7XgCubl6FSxpWcjjR6SWlJ/Hu7+8C7tv8Q1oPcTiReKNe9XvxweUfUCawDBbLK8te4a2Vb5F90urGIiJ/eXPFmxxKcQ8gHtZhGJXCvPtvoi/w9GWvN4Fe1tp+QFbOtmW4p28SH5adbXl+ygYAggNdjPxbM4cTndl/1vyH+FT3cq2PtX+MsMDTLfglpVnnGp35vOfnVAytCMBn6z/j6QVPk5HldT2VRMQLLNq7iO+3fA/AxdUu5vr61zucyD94ukitwl9zidoCj+LDpqzdx9o9CQDc37UetSp499ySOxJ25N22bRvdlp51ejqcSLxds4rN+Orar7gg0t3Peur2qTz424MkZyQ7nExEvElCWgL/WvgvAMICw3im0zMajFtCPF2kLsG9Bn1+dwMLPXxc8aCMrGzemuleh6BSeDCDu9V3ONGZ/XvFv8m0mRgMwy8arl8gclZqRdTiy2u+pGWllgAs2reIu6bfxeGUww4nExFvYK3lxSUvEpviXiDyyYuepFaE5twuKZ4uUocA9xpjNgHhxpjVuIvWhz18XPGg71fuyZtyamiPBpQN8e5VmhbsXcC8PfMA6NOwD80rNnc4kfiSCqEV+OSqT7ikxiUAbDi8gYHTBrInaY/DyUTEaf/b8T+m75wOQPda3enToI/DifyLp4vUS4C2wB3A7bgL1LZAFw8fVzwkNSOLd351TzlVPSqUv3f07okaMrIzeG35awCUDSrLQ20fcjiR+KIyQWV497J38xZ92J20mwHTBrApfpPDyUTEKfuP7eflJe61fiqEVuC5Ts/pLl0J83SR+h/rttRa+521dlHOBPcfevi44iHjl+5mf4J7LeJ/XNGQkMCAM7zDWd9u+pYdCTsAGNxqsEZbSrEFuYJ4qctL3NXiLgDiUuIY9Msglu1fdoZ3ioi/ybbZjFw4kqQM96T9z3V6jophFR1O5X88UqQaYzobYzoDAcaYTrn/zvm6HTjuieOKZx1Py+SD2VsBqFupLH3b1XQ40enFp8bz4Wr356ELIi/g9qa3O5xIfJ0xhkcufIQnOjwBwLGMYwyeNZhvN32LtRoTKlJajP1jLMsOuD+g9m3YV5P2e4inOhPmzn4dCozPt90CB1GfVJ80ZtFODh9PB+CRKxsR6OUT93/w+wd5n3KHtR9GUECQw4nEXwxoNoCKoRV5euHTZGRn8NLSl1h2YBnPdX5OSyCK+LktR7bwzqp3AKgZXjPvQ6uUPI9UGdbautbausBnuc9zvupZaztZayd54rjiOQnJGXw8dxsATapGcF3Lag4nOr0/4/9k4paJAHSp3oWuNbs6nEj8zbX1ruXTqz4lukw0ADN2zaDflH6sj1vvcDIR8ZSUzBSGzx9OenY6LuNi1KWjKBPk3VMw+jKPXgqz1t7ryf3L+TN6/jaSUjMBeOyqxrhc3ts53FrLa8tfI9tmE2ACeKLDE+rMLh7Rrko7JvaamPchaO+xvQyYNoCv/vhKt/9F/Iy1lpeWvMSWI+7Bw3e3uJs20W0cTuXfPL0s6oPGmLYFtrUzxhScO1W82KGkND5bsBOANrXKcUXTaGcDncGyA8vy+grd2uRW6pWr53Ai8WflQ8vz3mXv8Xj7xwk0gWRmZ/La8td4ePbDJKQlOB1PRErIxC0T+WnbTwB0qNqBB9qolPE0T3cqHAFsKbBtC/C0h48rJejDOVtJyXCvajvs6sZef1XyozUfAe6VP+5rdZ/DaaQ0cBkXdzS/gy+u+YLqZasDMCdmDjdNuYnVsasdTici52pD3AZGLR0FQOWwyrzW9TUCXd49R7g/8HSRGgKkF9iWDmjRdB+x92gK45bsBqBz/Yp0aeDdUzgtP7CclQdXAnBL41uoEFrB4URSmrSq3IoJvSZwRe0rADhw/AB3/nInH6/5mKzsLIfTiUhxJKQl8OicR8nIziDABPB6t9c1neF5cj6WRR1eYNswYKmHjysl5OM520jPygbg8asbO5zmzHKvooYGhHJH8zscTiOlUVRIFG92f5OnOj5FkCuILJvFB6s/4K7pd7H/2H6n44lIEWTbbJ6c/yT7ju8D4JELH+HCKhc6nKr08HSR+iBwqzFmlzFmnjFmF3Ar7uVSxcvFH0/nu5UxAHRtVJl2tcs7nOj0VhxYwfIDywHo17ifPumKY4wx3NbkNr7+29fUi3L3iV4Vu4q+P/Xll52/OJxORM7W6LWjWbB3AQBXXnAlA5sNdDhR6eLp0f07gVbAbcD7uAvU1jnbxcuNXbKL1Az3VdT7u3r/4KOP134MQEhASN6qQCJOalyhMd9c9w03N7oZgKSMJIbNHca/Fv6L5Ixkh9OJyOks2rcob0GYOpF1eKHzC14/JsPfnI/Z2CsADYC61trFQDVjjHcv+C6kZmTxxaKdADSrFknn+t693Nvvsb+zdL+7F0m/RrqKKt4jLDCMf3X6F2/3eJuokCgAftz6I/2m9GPD4Q0OpxORwuw/tp/h84ZjsYQFhvFm9zcJDw53Olap4+kpqK4GNgC9+GtEfx3gY08eV87dpN/35q0udV/Xel7/6fHjNe4fqWBXMINaDHI4jcjJLq99Od/3+p6OVTsCsDtpN/1/7s+Y9WPIttkOpxORXBlZGTw+93GOph0F4F8X/4uG5Rs6nKp08vSV1DeBXtbafkDu0NZlQHsPH1fOQXa25b/ztwNQPSqUv7Xy7tWl1hxaw6J9iwDo26hv3gpAIt6mStkqjL5qNI9c+EjenKpvrHyDIbOGEJcS53Q8EQFeX/E6a+PWAu5ZYnrV7+VwotLL00VqFdxFKYAt8Che6rdNsWw/dByAuy6pS1DA+egVUny5I/qDXEHqiypez2Vc3NXiLr685ktqhtcE3H3f+v7Ul3l75jmcTqR0+2nbT3y96WsAWlRswRMdnnA4Uel2PqagKrgkw93AQg8fV85B7lXUiJBAbulQy+E0p7fu0DoW7nX/ON3Y8Eaqlq3qcCKRs9Oycku+6/Ud19W7DoD41HiG/jqUV5e9SnpWwemlRcTTVh5cybOLngXcU8m90f0NggOCHU5Vunm6SH0AuNcYswkIN8asztn2sIePK8W0JuYoS3fEA/D3jrWJCA1yONHp5Y7oD3QFcneLux1OI1I04cHhjLp0FC9f8jJlAssAMHbjWG7/+Xa2H93ucDqR0iMmMYZ/zv4nmdmZBLoCeav7W1QPr+50rFLP01NQ7QbaAncAt+MuUNtaa2M8eVwpvtyrqIEuw51d6jgb5gw2xG3Iuz3ap0EfqoV7d99ZkVPpVb8X3/X6jhYVWwCwKX4TN025if+s+Q8Z2RkOpxPxb4npiTz424N5A6WeufgZOlTt4HAqAQ8WqcaYAGPMXCDYWrvUWvudtXaRtVZrA3qxy5tG07hKBL1bV6dalHevXjt67WjAfRX1npb3OJxG5NzUjqzNl9d8yV0t7sJgyMjO4P3V73Pr1FvZEKepqkQ8ITM7k8fnPM72BPcFmkEtBtGnYR+HU0kujxWpOcVoLcC77xfLCfq0rckv/7yUF25o4XSU04pJimF2zGwAetXrpdsy4heCAoJ45MJH+PKaL6kfVR+AzUc28/ef/84bK94gJTPF4YQi/sNayyvLXmHx/sUAXFbrMv7Z7p8Op5L8PN0n9Q3gK2PMRcaYGsaY6rlfHj6unANjDOEhgU7HOK2vN32NzZkoon+z/g6nESlZbaLbMKHXBIa0HkKgK5Bsm82YDWPo+1Nflu1fduYdiMgZjd80nm///BaAphWaMurSUbiMd89mU9p4+r/Ge8D1uEf5xwB7cr7UJ1WKLTkjmUlbJgFwUdWLaFS+kcOJREpecEAwD7R5gAnXTaBVpVaA+w7C3TPu5sXFL3I847jDCUV81y87f+HVZa8CEB0WzXuXvUeZoDIOp5KCPD1wynWKrwBPHlf82+RtkzmWcQyA25ve7nAaEc9qWL4hX17zJU90eIKwQHc/8QmbJ9Bnch8W7V3kcDoR37Ng7wJGzB+Rt+Tpu5e/S5WyVZyOJYXw+MApY0yIp44hpU+2zWb8xvEA1AivQbea3RxOJOJ5Aa4ABjQbwPe9vs8bdbz/+H7un3U/zyx8hsT0RIcTiviGVQdX8cjsR8jMziTIFcS7l71L84rNnY4lp6CBU+JTFu1bxM7EnQDc1uQ2Aly6KC+lR63IWnxy1SeM7Dgyb17VSVsn0WdyH61WJXIGGw9vZOivQ0nNSiXABPB6t9e5uNrFTseS09DAKfEpYzeOBSAsMEzThEip5DIubmlyC5Oun0Snap0AiE2OZeivQxkxfwQJaQkOJxTxPjsSdjB41uC8rmIvdHmBy2tf7nAqORMNnBKfsSNhR94SqNfXv57I4EiHE4k4p3p4df5z5X94vvPzhAeFAzB1+1R6/9ibn7f/jLXW4YQi3mH/sf3cN/M+4lPdqyk+edGT9K7f2+FUcjY0cEp8Rm5fVIC/N/27g0lEvIMxhhsb3sik6ydxaY1LAYhPjWf4/OEMmTWEmCRdD5DS7XDKYe6beR8Hjh8A4IE2D2jArQ/x+IRgxpgoY8wtxphHjDE3G2N0+UuKLCk9icnbJgPQpUYX6kbVdTiRiPeoWrYqH1z+AaMuHUWF0AoALNy3kD6T+/DJuk+0tKqUSonpiQyeNThvHMOAZgMY3Gqws6GkSDxapBpjOgPbgX8AF+U87sjZLnLWJm2ZlLfazu1N9ClYpCBjDNfVu46fbviJvg37ApCWlcY7q97h5ik3szp2tcMJRc6flMwUHvr1ITbFbwLghgY3MKz9MIwxDieTovD0ldR3gCHW2s7W2tustV2AwcC7Hj6u+JGs7CzGb3Lf6q8TWYcuNbo4nEjEe0WFRPFc5+cY03MM9aLqAbD16FYGTBvAC4tf0MAq8XtJ6UkMnjmYVbGrALii9hU82+lZFag+yNNFagPg+wLbfgDqe/i44kfm7ZnH3mN7AXdfVC1bJ3JmF1a5kIm9JvJQ24cIdgUD8N3m77j+x+uZtmOaBlaJX4pPjefu6XfnFahdqnfh1a6vEujy7qW+pXCe/mu/DveV0/zuBzZ4+LjiR8ZtHAdAeFC4RmSKFEFQQBD3tbqPSddPypsP8nDqYZ6Y94QGVonfOXD8AHf+cicb4zcCcHnty3n3sncJDgh2OJkUl6eL1CHAo8aY7TmrT20HHufkwlWkUNuObmPpgaUA9GnYh7JBZR1OJOJ7akfWZvSVo089sCpLA6vEt+1O3M0d0+5gR8IOAHrX782/u/1bBaqP8/QUVBuAJsBA4IOcx8bW2vWePK74j++3/NVb5NbGtzqYRMS3nXZg1dSb+T32d4cTihTPliNbuOOXO9h3fB/gXo3wxS4v6ha/H/D06P4HgRbW2gXW2gnW2gVAS2PMA548rviH9Kx0pmybAkDHqh2pHVnb4UQivi93YNUXPb+gfpR7eMDWo1sZOG0gzy16TgOrxKesO7SOO3+5k7iUOADubXkvIy4aobELfsLT/xVHAFsKbNsCPO3h44of+C3mN46mHQXgxoY3OpxGxL+0q9KO73p9xz/a/YOQgBDAfeei94+9mbp9qgZWiddbtn8Z98y4h8T0RAAevfBRHm73sEbx+xFPF6khQHqBbelAmIePK37gh80/ABAZHMnlF2iNZZGSFhQQxD0t72FS70l0ru6evjo+NZ4R80dw38z72JW4y+GEIoWbvXs2Q2YNITkzGYPhmU7PMKjFIKdjSQnzdJG6BBheYNswYKmHjys+bu+xvSzevxiAXvV75V3pEZGSVyuyFh9f8TGvXvoqFUMrArBk/xL6TO7D2yvf5njGcYcTirhZa/nqj6/455x/kp6dTqAJ5JVLX6Ffo35ORxMP8HSR+iBwqzFmlzFmnjFmF3Ar7lH/Iqf049Yf8573adDHwSQipYMxhmvrXcvkGybn/cHPyM7g0/Wfct2k65i8dTLZNtvhlFKaZWRn8NKSl3ht+Wtk22zCAsN4u8fbXFvvWqejiYecc5FqjAkwxtTO+Sqf/zVr7U6gFXAb8D7uArV1znaRQmVlZzFpyyQAWlRsQeMKjR1OJFJ6RIVE8UynZxh/7XhaVWoFQFxKHCMXjuT2/93OmkNrHE4opVFieiJDZw1lwuYJAESHRTOm5xi61ermcDLxpJK4kuoCduR89S34orU2y1q7KGd0/2JrbVYJHFP82KJ9iziYfBCAGxtpwJSIE1pWbslX137Fy5e8TOWwygCsP7ye/j/3Z8T8ERw8ftDhhFJaxCTFMODnAXldwJpWaMr4v42nWcVmDicTTzvnItVamwHE5vxTvezlnP2wxT1gKiwwn6F4eQAAIABJREFUjGvqXONwGpHSy2Vc9Krfi6l9pnJvy3vzlledun0qvX7sxei1o0nNTHU4pfizxfsWc/v/bmd7wnYALqt1GWN6jqFK2SoOJ5PzoaT6pI4HDKCKQs5JXEocc2LmAHB1nasJDw53NpCIUCaoDA+3e5jJN0zmyguuBCAlM4X3fn+P6yZdx8TNE8nI1qpVUnKysrN4//f3uX/m/RxJOwLAoBaDeKvHW5QJKuNwOjlfSmo5hpnA9cA/jDGVgKnAQeCEifastfNK6Hjip6Zsm0KmzQQ0N6qIt6kZUZM3u7/Jsv3LeGX5K2w5soWDyQd5fvHzfL7+c4a2GUrPuj01kbqck9jkWIbPG86KgysA9121kRePpHf93g4nk/PNlMSEzcaYbNwFqaFAYZqPtdZqjbJzYIxpDqxfv349zZs3dzpOibPW0vvH3uxM3EndqLpMvn6yJmUW8VKZ2ZlM2TaFj9Z8xP7j+/O2NyzfkIfbPky3mt30/68U2aK9ixixYATxqfEA1I+qzxvd36B+ufoOJ5Pi2LBhAy1atAD36qMbivr+kvy4a/I9nupL5JR+j/2dnYk7AejbsK/+wIl4sUBXIH0a9mFqn6k8edGTVAitALjXUX/ot4foP60/C/cu1MpVclYyszN5d9W7DJ41OK9AvaHBDYz/23gVqKVYSV3Z/KKE9iOl2Pdbvgfcf/yuq3edw2lE5GwEBwRze9Pb6dOgD+M3jeez9Z+RlJ7E2kNrGTxrMC0rtWRw68FcWuNSffCUQsUmx/LEvCdYeXAloNv78pcSKVKttVqLTM5JUnoSM3bOAKBHrR5UDKvocCIRKYoyQWW4p+U99GvUjy82fMG4jeNIzkxmXdw6hv46lKYVmnJ/6/vpUauH+qxKnjkxc3h20bN5V08blGvAG93eoF65eg4nE2+g3xTiFabvnE5qlnsqGw2YEvFdUSFRPNzuYWbcNIP7W91PeJB7ho6N8Rv55+x/0m9KP37Z8YtmAyjljqYeZfi84Tz020N5BeqNDW9k/N/Gq0CVPBrIJF5h2o5pAFQOq0ynap0cTiMi5yoqJIoH2z7IwOYDGbdxHF/98RVJ6UlsPrKZYfOGEV0mmlsa30Lfhn1156SUmblrJi8teSmvOI0IimBExxH0qt/L4WTibfz6Sqoxppox5hVjzGxjTJIxxhpjup+mfWdjzAJjTLIx5oAx5l1jzEkTdRpjQowxrxpj9hljUowxS40xV57LPkuzQ8mHWH5gOeCeGzXAFeBwIhEpKZHBkQxpPYQZfWfwj3b/oFxIOcDdD/G939/jyolX8tT8p1gft97hpOJph1MO89icx3h0zqN5BWq3mt2YdP0kFahSKH+/ktoYGA5sAdYBp7xEZ4xpA/wKbAQeBWoCjwMNOXmRgjHATcDbOfu+E/jZGNPDWrugmPsstWbsmoHNmbnsmro6LSL+KDw4nHta3sPtTW9n2o5pjN84nj+P/ElGdgZTtk9hyvYptKrUipsb38yVF1ypCdv9SEZWBt/8+Q0fr/mYxPREwP3h5cmLnuS6etdpQJ2ckr8XqSuBitbaeGPMTcB3p2n7MnAE6G6tTQQwxuwE/muMucpaOyNn20XArcAwa+2/c7Z9CawHXgM6F3Wfpd3PO34GoEZ4DVpWaulwGhHxpLDAMG5seCN9GvRhVewqvt70NbN2zSLLZrE2bi1r49YyatkoetbpSZ+GfWhVqZWKGB9lrWVOzBzeWPkGuxL/WjX98tqXM/LikVQKq+RgOvEFfl2kWmuTzqadMSYSuBJ4K7eYzPEl8BZwM5BbUN4EZAGj8x0n1RjzKfCyMaaWtTamiPsstfYk7WHtobWA+yqq/hiJlA7GGC6sciEXVrmQg8cP8t3m75i4eSKHUw9zPOM432/5nu+3fE+9qHr0adCH6+pfp6LGh/wZ/yevL3+dpQeW5m2rHVGbx9o/Ro9aPfS7Xs6KXxepRdAS97lYkX+jtTbdGLMaaJtvc1tgc4HCE2BZzmMbIKaI+yy1pu+cnve8Z52eDiYREadUKVuFB9s+yP2t72f+nvlM2jqJ+Xvmk2Wz2J6wnTdWvsE7q96hU/VO9Kzbkx61ehARHOF0bClEXEoc7/3+HpO2TMrrxhURHMGQ1kO4tfGtBAUEOZxQfImKVLdqOY/7C3ltP3BpgbanagdQvRj7PIkxJhqoXGCz3y27kTuqv15UPRqVb+RwGhFxUpAriMtqX8ZltS8jLiWOKdum8MOWH9iZuJNMm8n8vfOZv3c+wa5gLqlxCT3r9qRbzW7qv+oFEtMT+Xrj13y2/jOSM5MBCDAB3NL4Foa0HkK50HIOJxRf5DNFqjHGBQSfZfM0W7S1+MJy31fIa6n5Xs9te6p2+fdVlH0W5gHg2TO08Wnbj27nzyN/ArrVLyInqhRWiUEtBnFn8ztZc2gNk7dNZtauWRxNO0p6djq/xfzGbzG/ERoQSteaXelZtyeX1riU0MBQp6OXKgeOH+CrP75i4uaJecUpuEftP9r+UepFac5TKT6fKVKBrsDss2zbFNhUhH2n5DyGFPJaaL7Xc9ueql3+fRVln4X5kJMHetUHJp/hfT7jl52/5D3XrX4RKYwxhjbRbWgT3YanOj7Fsv3LmLZjGr/t/o2kjCRSs1KZsWsGM3bNICwwjO61utOzTk+61OhCSEBhv36lJGw+spkvNnzBz9t/JtNm5m1vXL4xj7V/jE7VNd+1nDtfKlI3AWe7/Gpht9jPpn21Ql6rBuwr0LbGKdqRr21R9nkSa20sEJt/mz9dabTW5t3qb1qhKXWi6jgbSES8XpAriC41utClRhfSs9JZuHchv+z8hTkxc0jOTCYlM4VpO6Yxbcc0ygaVpUetHvSs05NO1TsRHHC2N+LkVKy1rDi4gs/Wf8aCvQtOeO2iqhcxqMUgulTv4ld/q8RZPlOkWmsP4J6f1BPWA5lAe2BC7kZjTDDugVAT8rVdDfQwxkQWGDzVMd/rRd1nqbMpfhM7E3cCcG3da50NIyI+JzggmB61e9Cjdg9SM1NZsHcB03dOZ+6euaRkpnA84zhTt09l6vaphAWG0alaJ7rV6salNS6lcpmC3f3ldJLSk5i2Yxrfb/mePw7/kbfdZVxcecGVDGo+iOaVmjuYUPyVzxSpnmStTTDGzAL6G2NezDd11QAgnBNvu0/EPSH/fUDuPKkhuK/yLrXWxhRjn6VO7lVUcK8yJSJSXKGBoVxxwRVcccEVpGSmMG/PPKbvnM78PfNJzUolJTMlrw8rQLOKzehasytda3SleaXmuIxfL75YLLlXTSdtmcTMXTNJzUrNey0kIIQbGtzAHc3uoFZkLQdTir/z+yLVGDMy52nux7wBxphLAKy1L+Vr+jSwCJhrjBmNe3Wox4AZ1tq8zpPW2qXGmO+AUTkj8LcCdwB1gLsLHP6s9lnaZNvsvP6o7aLbUS28sB4RIiJFFxYYxtV1rubqOleTnJHM/L3zmbdnHvP3zOdI2hEA/jj8B38c/oOP13xMuZByXFjlQjpU7UD7Ku1pWL5hqS1as7KzWBe3jtkxs5m1axa7k3af8HqVMlW4seGN3NrkViqEVnAopZQmpmiD4H2PMeaU36C11hRoewnwKtAOSMJ9S35EwUUBjDGhwItAf6A8sBb4l7V2OgWc7T7P8ntpDqxfv349zZv77q2V1bGrGTBtAABPdXyK25rc5nAiEfF3WdlZrD+8nrkxc5m/dz6b4gsfWxsVEkW76HYnFK2BLv+9npOckcyS/UuYEzOHuXvmEp8af8Lrga5ALqt1GX0a9qFTtU4EuAIcSiq+aMOGDbRo0QKghbV2Q1Hf7/dFqj/xlyL15aUv8/Wmr3EZF7/2+1WryIjIeXfg+AHm753P8v3LWXFwBYdSDhXarkxgGVpWbkmbym1oG92WVpVb+fRCAlnZ7gUSVh9azdyYuSzZv4S0rBNnSjQYWlZuSc86Pbmu3nWUDy3vUFrxdedapPrvx0PxSpnZmXmrTHWs2lEFqog4omrZqvRr1I9+jfphrWV30m6WH3AXrMsPLCc22T25SnJmMkv3L2XpfvfyngZDg/INaF25NY3LN6Z+ufrUL1ffa29/H0o+xNq4taw7tI51cetYH7f+hPlMc4UEhNCpWid61O5B15pd9btZvIKKVDmvVhxckXc76Zq61zicRkTEPb3fBZEXcEHkBdzU6CastcQkxbAqdhWrY1ezOnY12xK2AWCxbDmyhS1HtpywjwqhFagbVZdaEbWoEV6DmhE1qRlekxrhNagUVsnj0zIlZySzM3En2xO2s/3odrYnbGfD4Q0cOH7glO+pEFqBbjW70aNWDy6ufjFhgWdaY0bk/FKRKudV7qj+QFcgl9W+zOE0IiInM8ZQO7I2tSNrc0ODGwBISEtgzaE17qL10GrWx60nJfOvNVniU+OJT41n5cGVJ+0vJCCE6uHViS4TTfmQ8pQPLZ/3WC60HOVDyhMZHAlANtlYa8m22WTZLJLSk0hISyApPYnE9ET3V1riCf8+mnY078rvqbiMiwblGtCyUktaVW5Fi0otqB9VX31MxaupSJXzJiMrg5m7ZgJwSY1LiAqJcjiRiMjZiQqJck9bVbMr4J6lZP/x/Ww7ui3va0fiDvYm7eVw6uET3puWlcaOhB3sSNhxXrK6jIua4TVpVL4RLSu3pGWlljSv2JwyQWXOy/FFSoqKVDlvlh9YTlK6e1IDLYMqIr7MZVzUCK9BjfAaeYVrruSMZPYd28feY3vZc2yP+zFpD4dTD3M09ShH0o7k/S4sqjKBZYgIjiAyJJLI4Ej38+BIaoTXoF5UPeqVq8cFkRdoSVjxCypS5bzJnUg70ARyac1LHU4jIuIZZYLK0KB8AxqUb3DKNhnZGSSkJXAk9QhH046SmJ6IweAyLlzGhcEQYAKICI7IK0ojgiMIcgWdx+9ExFkqUuW8sNYyJ2YOAO2rts/rfyUiUhoFuYKoFFZJo+hFTqN0Lqsh590f8X9wMPkgAD1q9XA4jYiIiHg7FalyXszePTvvuYpUERERORMVqXJezI5xF6lNKzSlWng1h9OIiIiIt1ORKh63J2kPm49sBqBHbV1FFRERkTNTkSoel3sVFeCyWprAX0RERM5MRap4XG6RWr1sdRqVb+RwGhEREfEFKlLFoxLSElh1cBXgvtXv6fWrRURExD+oSBWPmrdnHlk2C9CofhERETl7msxfPCr3Vn9EcATtqrRzOI2IiEjxZGZmcuTIEY4dO4a11uk4jjLGEB4eTvny5QkM9FwpqSup4jFpWWks2LsAgK41u2o5PxER8UnWWvbs2UNcXBwZGRlOx3FcRkYGcXFx7N2716MFu66kiscs3b+UlMwUQLf6RUTEdyUlJZGSkkJUVBTVqlUr9eMrrLXs37+fhIQEkpKSiIz0zFLnupIqHpN7qz/IFcQlNS5xOI2IiEjxJCYmAhAdHV3qC1Rw3+6Pjo4G/jo3nqAiVTwi22YzJ2YOABdVu4iyQWWdDSQiIlJMGRkZBAYGerT/pa/JPR+e7P6gIlU8Yl3cOuJS4gBN4C8iIr7NWovLpZKpIJfL5dE+qTrj4hGzd/+1ylT3Wt2dCyIiIlICdJv/ZJ4+JypSxSNy+6O2rNSS6DLRDqcRERERX6MiVUrcrsRdbE/YDmhUv4iIiBSPilQpcbkDpkBFqoiIiBSPilQpcQv3LgSgetnq1C9X3+E0IiIi4otUpEqJSslMYeXBlQB0rtFZHc1FRESkWFSkSolaeXAl6dnpAHSp3sXhNCIiInI6KSkpNGnShCZNmpCSkpK3PT4+nmrVqtG5c2eysrIcyaYiVUpU7q3+ABNAx2odHU4jIiIipxMWFsYXX3zB1q1befrpp/O2Dx06lISEBMaMGUNAQIAj2bR0gpSoRfsWAdC6cmsigiMcTiMiIiJn0rFjR5544gleffVV+vTpw8GDB/nmm294++23adSokWO5VKRKiTlw/EDe1FOdq3d2OI2IiIjnPT9lA3/s89z69UXRrHokz/ZqXqz3Pvfcc0ydOpU77riDY8eO0a1bNx5++OESTlg0KlKlxOTe6gfoUkP9UUVExP/9sS+RpTvinY5xzoKDg/nss8/o0KEDoaGhfP75544PflaRKiVm4T53kVoupBxNKzR1OI2IiIjnNase6XSEPOeaZfr06QCkpqayZcsW6tatWxKxik1FqpSIzOxMluxbAkCnap0IcDnTyVpEROR8Ku7tdW+zdu1aXnjhBQYNGsTq1au55557WLduHVFRUY5l0uh+KRHr49aTlJEEuOdHFREREd+QkZHBnXfeSfXq1XnnnXcYM2YMBw8e5JFHHnE0l4pUKRG5t/pBg6ZERER8yUsvvcTq1av57LPPiIiIoFWrVjzzzDN8/vnn/Pzzz47lUpEqJWLRXvfUUw3LNyS6TLTDaURERORsrFq1ipdffpkHH3yQHj165G1/8skn6dChA/feey9Hjx51JJv6pMo5S0hLYP3h9YBWmRIREfEl7dq1IyMj46TtAQEBLFu2zIFEf9GVVDlni/cvJttmA5p6SkREREqGilQ5Z7m3+sMCw2gX3c7hNCIiIuIPVKTKObHW5g2aal+lPcEBwQ4nEhEREX+gIlXOybaj24hNjgV0q19ERERKjopUOSeaekpEREQ8QUWqnJNF+9z9UauXrU6dyDrOhhERERG/oSJVii0lM4UVB1YA7lWmjDEOJxIRERF/oSJVim3lwZWkZ6cDmh9VRERESpaKVCm2hXvd/VEDTAAdq3V0OI2IiIj4ExWpUmy5/VFbV25NRHCEw2lERETEn6hIlWI5cPwA2xO2AxrVLyIiIiVPRaoUy/IDy/OeX1z9YgeTiIiIiD9SkSrFkluklgksQ7OKzRxOIyIiIv5GRaoUy4qD7qmn2lZpS5AryOE0IiIi4m9UpEqRHTh+gJikGADaV2nvcBoRERHxRypSpcjy90ftULWDg0lERETEX6lIlSJbeXAlAGGBYeqPKiIi4sNmz56NMYZJkyad9Nr48eMxxrB48WIHkqlIlWLIvZLaNlr9UUVERHxZ9+7dqVWrFuPGjTvptXHjxlG/fn06derkQDIVqVJEB48fZHfSbkD9UUVERHydMYb+/fszdepUEhIS8rYfOnSIGTNm0L9/f8eyBTp2ZPFJuaP6Qf1RRUREmPYkHFjndAq3qi3hmleK/LaBAwcyatQoJk6cyN133w3At99+S2ZmpopU8R25RWpoQCjNKzZ3OI2IiIjDDqyDXQucTnFOmjRpQocOHRg3blxekTpu3DguvvhiGjRo4Fguvy5SjTHVgH8AHYH2QDjQw1o7p5C2c4BuhexmurW2Z4G2IcALwACgPLAWGGmtnVnIfjsDrwHtgERgAvCUtfZYsb8xB6044C5S20S3IShA/VFFRKSUq9rS6QR/OYcsAwcO5B//+Ad79uwhLS2NJUuW8P7775dguKLz6yIVaAwMB7YA64Az9fzdA4wosG1fIe3GADcBb+fs+07gZ2NMD2tt3scpY0wb4FdgI/AoUBN4HGgIXFO0b8V5h5IPsTNxJ6D+qCIiIkCxbq97o1tvvZVHH32Ur7/+mpSUFIKCgrjlllsczeTvRepKoKK1Nt4YcxPw3RnaJ1hrx56ugTHmIuBWYJi19t85274E1uO+Yto5X/OXgSNAd2ttYk7bncB/jTFXWWtnFON7coz6o4qIiPinSpUqcc011zB27FhSU1Pp2bMnlSpVcjSTX4/ut9YmWWvji/IeY0ygMSb8NE1uArKA0fmOkwp8CnQyxtTK2U8kcCUwNrdAzfElcAy4uSi5vEHu1FOhAaG0qNTC4TQiIiJSkgYOHMjatWvZvHmzowOmcvn7ldSiagQcB4KNMQeB/wIvWGsz8rVpC2wuUHgCLMt5bAPEAC1xn98V+RtZa9ONMatz9nNKxphooHKBzfWL8L2UuNwrqa0rtyY4INjJKCIiIlLCevXqRfny5cnOzqZ3795Ox1GRms82YDbuvqtlcV8xHYm7cM3fKaMasL+Q9+duq56vHadpe+kZ8jwAPHvG1OdJXEocOxJ2ANC+qvqjioiI+BuXy0VgYCC9evUiNDTU6Ti+U6QaY1zA2V6+S7PW2qLs31p7d4FNXxljRgP3GmPestYuydkeBqQVsovUfK/nfzxV27BCtuf3ISf3oa0PTD7D+zwif39UDZoSERHxPz/++COHDh1i4MCBTkcBfKhIBbrivtJ5NpoCm0rgmG8A9wJXALlFagoQUkjb0Hyv5388VduUQrbnsdbGArH5txljzpzYQ3KnngoJCKFlZS+abkNERETOydKlS1m7di0vvvgibdu2pVu3wmbkPP98qUjdBAw6y7aF3WIvjpicxwoF9l2jkLa5t/f35WuXf3vBtoVNbeW1covUVpVbERJQWN0tIiIivuijjz5i7NixtGnThjFjxjgdJ4/PFKnW2gO45yc9n+rlPB7Kt2010MMYE1lg8FTHfK+De0qqTNyLCEzIbWSMCcY9uGoCPuJwymG2JWwDoEMVTT0lIiLiT8aMGeNVxWkuv56C6mwZYyJzVpHKv83gHjgFMD3fSxOBAOC+fG1DcF/lXWqtjQGw1iYAs4D+xpiIfO8fgHvlqzPN2eo1TuiPqkFTIiIich74zJXU4jLG5BaauQvNDzDGXAJgrX0pZ1s74GtjzNfAVtyDmvoAXYDR1tpVufuz1i41xnwHjMqZJmorcAdQByg4+OppYBEwN2cQVk3gMWCGtfaXEv1GPSj3Vn+wK5hWlVs5nEZERERKA78vUoEXC/z7rnzPc4vUXcB83IVpVSAb91Kmg8k3aX8+A3P2OwAoD6wFrrPWzsvfyFq7yhhzBfAq8BaQhHvS/4JLr3q13Cup6o8qIiIi54vfF6nW2jMOibfW7qAIK0DlrDA1LOfrTG0X4L4i65PiU+PZenQroFv9IiIicv6oT6qc1sqDK/Oea9CUiIiInC8qUuW0covUQFeg+qOKiIjIeaMiVU5rdax7Rq3mFZsTGuj8EmkiIiJSOqhIlVNKzkhmU7x74a42lds4nEZERERKExWpckobDm8gy2YB0Da6rcNpREREpDRRkSqnlHurH6B1dGsHk4iIiEhpoyJVTmn1IXeRWjO8JpXCKjmcRkREREoTFalSqGybzZpDawBoE63+qCIiIv5o586dGGNO+eUkv5/MX4pnZ+JOEtISAA2aEhER8VeVK1fmq6++OmFbRkYGjzzyCMHBwQ6lclORKoVaE7sm77mupIqIiPinsmXL0r9//xO2DR06lGPHjjFz5kyHUrmpSJVC/R77OwBlg8rSoFwDh9OIiIh4p1eXvZo3XaPTmlRowvCLhp/TPr788ks+/PBD3njjDXr06FFCyYpHRaoUKnfQVKtKrQhwBTicRkRExDttit/EioMrnI5RIlavXs3gwYO57bbbePTRR52OoyJVTnY09Sg7EnYAutUvIiJyOk0qNHE6Qp5zyXLkyBH69u1Lo0aN+OSTT0owVfGpSJWTrI1bm/dcg6ZERERO7Vxvr3uD7Oxsbr/9do4ePcqsWbMoU6aM05EAFalSiNz+qAZDy8otHU4jIiIinvT8888zffp0pk2bRt26dZ2Ok0dFqpwkd6WpBuUbEBEc4XAaERER8ZR169bx4osv0rVrV2JjYxk7duwJrxcc+X8+qUiVE2RkZ7A+bj0AbSu3dTiNiIiIeNLhw4ex1jJ37lzmzp170usqUsVrbI7fTGpWKqBBUyIiIv6ue/fuWGudjlEoLYsqJ8idego0aEpEREScoyJVTpA7aKpCaAVqRtR0OI2IiIiUVrrdLye4t+W9tI1uS0ZWBsYYp+OIiIhIKaUiVU7QuEJjGldo7HQMERERKeV0u19EREREvI6KVBEREZEz8NYR8E7y9DlRkSoiIiJyGi6Xi6ysLBWq+VhrycrKwuXyXCmpIlVERETkNEJCQsjKyiI2NlaFKu4CNTY2lqysLEJCQjx2HA2cEhERETmNKlWqkJaWRnx8PAkJCQQEBJTaGXByr6BmZWURFhZGlSpVPHYsFakiIiIip+FyuahduzYHDx4kLS2N7OxspyM5xhhDcHAwISEhVKlSxaO3+1WkioiIiJyBy+WiWrVqTscoVdQnVURERES8jopUEREREfE6KlJFRERExOuoSBURERERr6MiVURERES8jopUEREREfE6moLKtwQDbN261ekcIiIiIqeVr14JLs77jZb38h3GmN7AZKdziIiIiBTB9dban4r6JhWpPsQYEwV0A2KA9BLYZX3cRe/1wLYS2J/8RefWc3RuPUfn1nN0bj1H59ZzzvXcBgO1gLnW2oSivlm3+31Izn/gIn8SOZV86w5vs9ZuKKn9is6tJ+nceo7Orefo3HqOzq3nlNC5/b24x9fAKRERERHxOipSRURERMTrqEgVEREREa+jIrV0OwQ8n/MoJUvn1nN0bj1H59ZzdG49R+fWcxw9txrdLyIiIiJeR1dSRURERMTrqEgVEREREa+jIlVEREREvI6KVBERERHxOipSRURERMTrqEgtRYwxHYwx7xtjNhhjjhtjdhtjJhhjGjmdzR8ZY542xlhjzHqns/gDY0w7Y8xPxph4Y0yyMWa9MeZhp3P5A2NMQ2PMN8aYPTnndpMx5hljTBmns/kKY0y4MeZ5Y8wvOT+j1hhz5ynaNs1pdyyn7VfGmMrnObLPOJtza4xxGWPuzPkdEZPzN269MWakMSbUoeheryg/t/neE2SM+SOn7eOezBfoyZ2L1xkOdAG+A9YCVYEHgVXGmIuttSqmSogxpibwFHDc6Sz+wBhzFTAF9xrQLwLHgPpATSdz+QNjTC1gGZAAvA/EA51wz414IXC9c+l8SiXgGWA3sAboXlijnN8N83Cf76eAcOBxoKUx5iJrbfp5SetbzubclgE+B5YAHwOx/PVzfLkx5jKrOTcLc1Y/twU8BNT2YKY8KlJLlzeRS7IQAAAJyklEQVSBv+f/JWiM+RZYBzwJ9HcqmB/6N+5flgG4fwlIMRljIoEvgf8BN1lrsx2O5G8GAOWAS6y1G3K2jTbGuICBxpjy1tojzsXzGfuBatbaA8aY9sDyU7R7CigLXGit3Q1gjFkGzATuBEafh6y+5mzObTrQxVq7KN+2/xpjdpJTqAKzPJ7U95ztzy0Axpho3EXtq8ALng6n2/2liLV2UcFP6dbaLcAGoKkzqfyPMaYrcBPwT6ez+Im/A1WAp6212caYsjkFlJSMyJzHgwW27weycf/xlzOw1qZZaw+cRdO+wNTcAjXnvbOAzcDNnsrny87m3Fpr0wsUqLkm5Tzqb1whivBzm+sV4E9grIcinUC/6Es5Y4zBXQDEOZ3FH5j/b+9OY+0oywCO/x9lU1D2tRZahYoIxC2gicYoQjDUBaMirYZFI4tEUQRNE0jVKgHcaCFgAggEgaogSwjwBUswYZFdQLamIEiNFKHIZig8fnjnwuH0XLhn6Z255/x/ycn0zDvnnaeTufc8990m4s3AIuCMzPxb3fEMiU8BTwPTIuI+Slf/0xFxmmPNBmJJtT0zIt4XEdMjYj/gMGBhZjpkZUAiYhqwBXBzh+KbgPdPbkQjYatq63dcnyJiN+AASgPMpAydMEnVXGAasLjuQIbEocB2wLF1BzJEdqAMTboUuJrSEnUW5Vr/tsa4hkJmXkW5X/ekjPn9B3AhsCgzv1tnbENo62q7vEPZcmCTiFh3EuMZBcdQ/si9su5AprKqQWsRsDgzr5+s8zomdYRFxI7AqcD1wDk1hzPlRcSmlDE6P8nMx+uOZ4hsQJkUcXpmjs3mvzgi1gEOiYjjqmEr6t1DlMk8FwFPAPsA8yLiX5l5Sp2BDZm3VNv/dSh7oeWYTuXqUkTMo/TEHJ6ZT9UdzxR3ILALZSjbpDFJHVERsRVlIspKymSUl2oOaRgsoMyMXlR3IEPm+Wp7Qdv+84FDKDN4TVJ7FBFfoUzWmZWZj1a7L67G/Z4QERdk5hP1RThUxu7lTq2l67Udoz5UQ1YWAGdm5ml1xzOVVZNXjwdOysxHJvPcdvePoIjYkNL1sRGwd2Y+VnNIU15E7AB8E1gIbBMRMyJiBuWLZ+3q/SY1hjiVjd2f7RN7/l1tN57EWIbR4cBtLQnqmMsoLdiOkxycsW7+rTuUbQ38JzNtRe1TROzJqyuCHFpzOMPg+8A6wOKW77ax5f82rvatsyZObJI6YqqJJpcDs4DZmXlPzSENi2mUn6eFwLKW1+6Ua72MsmyHundLtZ3Wtn+bauvQiv5sSVkqrd3a1dYetwHJzH9S7tcPdSjeDbh9ciMaPhGxO2VG/83AlzNzVc0hDYNtKY0Bd/Pqd9t1Vdm86v1Oa+LE/vIZIdXM88WU7tHPTebg5xFwF7Bvh/0LgLcB3wGWTmpEw+P3lHV8vw5c07L/G8AqXp2drt7cD+wVEbMy8/6W/ftTlqC6s56whtZFwAERMX2s6zQi9qD8MfurWiOb4iLiPZTW04cojTAOnRiMhcAlbfu2AH4DnE2Z1LpsTZzYJHW0/AL4LKUldZOIeM3i/Zk5KeueDaPMXMHqP8RExJFV+WplmpjMvC0izgIOjoi1gGspT0X5EnC8w1X6dhLwaeC6iDiFMnFqdrXvDK/vxEXEEZRhVGOt/J+pnjAFZbWElcDPKPfunyPiZMrEwKMpD1VxtYpxvNG1pfxBdTWlxe8kYJ8yIf0VS22Y6WwC9+2twK1tn5lR/fPuNfn9Fj4lbHRExBLg4+OVZ2aMV6beVNd8s8zcue5YprKIWJvSrXQQ5Rfpw8CpmfnrWgMbEtX6h/Mp4083pbSKnAOcaHfpxFVPN9punOKZmflQddx7KU8A/CjlYQlXAEdlZvu4a1Xe6NpW29drzTsnMw8cZEzDYqL3bdtnZlCu99GZ+fM1FptJqiRJkprGiVOSJElqHJNUSZIkNY5JqiRJkhrHJFWSJEmNY5IqSZKkxjFJlSRJUuOYpEqSJKlxTFIlSZLUOCapkiRJahyTVEmSJDWOSaokSZIaxyRVkoZIRJwdEVm97mpAPEe2xJMRsVndMUmaGkxSJWkKiOK4iPjYBA5fAXwN+OE4dc2MiFMi4v6IeK563RMRp0bErgMNHK6qYvnTgOuVNOTWqjsASdKEzAJ+BNw7gWOfzczzOhVExGxgMbAK+B1wB/AysCPwBeCwiJiZmQ8PIujMvBe4NyK2B/YdRJ2SRoNJqiRNDR+strf2WkFEvAu4EHgY2CMzl7eV/wA4nJK09i0i1s/MZwdRl6TRY3e/JDVcRNxEafUEeKAa2/lUD1UdA6wPHNSeoAJk5qrMXJiZj1Tn/UR1rtVaQCNiTlX2ker9/Or9ThFxfkQ8CfylhxglCbAlVZKmghOA+cC6wI+rfb0kqbOBBzPzxgkevwR4BJjL6mNK5wJLM/P6tv1/AB4A5gHRQ4ySBJikSlLjZeZFEfFL4Jrxxpq+kYh4O7ANcEmHso147ffBs5n5fGZmRJwHfC8iNszMldXxmwN7AT/tcKo7MnNOLzFKUiu7+yWp4SJiQ2Bb4M4+qnl7tX2mQ9kS4PGW17days6ltOB+sWXffpSktlPCfHofMUrSK0xSJan5xpaF6idJ/W+13aBD2SHAnsBX2wuq2fl/pXTvj5kL3JCZD3aoa1kfMUrSK+zul6TmG0tS7+i1gsxcGRHLgZ07lN0IEBEzxvn4ucDJEfEOSqvqh4Ejxjn2+V5jlKRWtqRKUvPtCizPzBV91nMFsH1E7Nbl5y4EXgL2p7SivkhZa1WS1hiTVElqvm2BRwdQz4nAc8BZEbFlh/KOs/Gr5PhKynCAucBVA0iYJel12d0vSc23DPhkRBwDPAb8PTNv6baSzHwgIuYAFwD3RcTYE6cCmAnMoSzk3ykhPhf4Y/XvY7v/L0hSd0xSJan5FgDvpCSHGwDfBrpOUgEy89KI2AU4irKM1MFAUp5CdQVwemZ2Gvt6OfAkpQfusl7OLUndMEmVpIbLzMeAvbv4yJsiYjNgVWautuh/Zi6lPP60Gy8Dq4DLM/OFDnXOpzxw4DUiYj1KYv3WLs8nacQ5JlWShs90ynqng3ws6eeBzSnd/t04tIrl6AHGImkERGbWHYMkaUAiYifKk6UAnsnMG/qsb3fK6gLHAisy8wNdfn468O6WXddm5ov9xCRpNJikSpLGFRFnU2b13w4cmJl31RuRpFFhkipJkqTGcUyqJEmSGsckVZIkSY1jkipJkqTGMUmVJElS45ikSpIkqXFMUiVJktQ4JqmSJElqHJNUSZIkNY5JqiRJkhrHJFWSJEmNY5IqSZKkxjFJlSRJUuOYpEqSJKlx/g/21oHfx3pRyQAAAABJRU5ErkJggg==\n", - "text/plain": [ - "
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" ] }, "metadata": { @@ -326,149 +340,33 @@ } ], "source": [ - "# Calculate the average velocity throughout cosmic time and subtract such that we only see the residual motion\n", - "\n", - "Vx, _ = polyfit(t, X_center_stars[:,0], 1)\n", - "Vy, _ = polyfit(t, X_center_stars[:,1], 1)\n", - "Vz, _ = polyfit(t, X_center_stars[:,2], 1)\n", - "V = array([Vx, Vy, Vz])\n", - "legend(('$x$', '$y$', '$z$'))\n", - "\n", - "X_adjusted = X_center_stars-V*(t-t[-1])[:,None]\n", - "plot(t, X_adjusted)\n", - "legend(('x', 'y', 'z'))\n", - "xlabel('$t$ [Gyr]')\n", - "ylabel('$\\mathbf{r}_\\mathrm{corrected}$ [kpc]')" + "figsize = rcParams['figure.figsize']\n", + "figure(figsize=[figsize[0], figsize[1]*4/3])\n", + "subplot(311)\n", + "plot(t, rho_0_nfw)\n", + "ylim(bottom=0)\n", + "ylabel(r'$\\rho_0$ [$\\mathrm{M}_\\odot/\\mathrm{kpc}^3$]')\n", + "gca().set_xticklabels([])\n", + "subplot(312)\n", + "plot(t, b_nfw)\n", + "ylim(bottom=0)\n", + "ylabel(r'$b$ [kpc]')\n", + "gca().set_xticklabels([])\n", + "subplot(313)\n", + "plot(t, lsq_nfw)\n", + "ylabel(r'$s$ [$\\mathrm{kpc}^2$]')\n", + "ylim(bottom=0)\n", + "xlabel(r'$t$ [Gyr]')\n", + "subplots_adjust(hspace=0.075)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0, 0.5, '$\\\\mathbf{r}_\\\\mathrm{corrected}$ [kpc]')" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# Fit a relatively low order B-spline to each\n", - "k = 6 # Spline order\n", - "midpoint = 0.5*(t[0]+t[-1])\n", - "knots = r_[[t[0]]*(k+1), midpoint, midpoint, midpoint, [t[-1]]*(k+1)]\n", - "spline = scipy.interpolate.make_lsq_spline(t, X_adjusted, knots, k)\n", - "plot(t, X_adjusted)\n", - "plot(t, spline(t), c='k', alpha=0.4, ls='--')\n", - "legend(('$x$', '$y$', '$z$', 'splines'))\n", - "xlabel('$t$ [Gyr]')\n", - "ylabel('$\\mathbf{r}_\\mathrm{corrected}$ [kpc]')" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0, 0.5, 'acceleration [kpc/Gyr${}^2$]')" - ] - }, - "execution_count": 12, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# Calculate acceleration from the splines\n", - "acc = spline(t, 2)\n", - "plot(t, acc)\n", - "legend(('$a_x$', '$a_y$', '$a_z$', 'splines'))\n", - "xlabel('$t$ [Gyr]')\n", - "ylabel('acceleration [kpc/Gyr${}^2$]')" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0, 0.5, 'acceleration [kpc/Gyr${}^2$]')" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "# Try the numerical derivative instead of the B-splines\n", - "V_ = diff(X_center_stars, axis=0)/diff(t)[:,None]\n", - "t_ = 0.5*(t[1:] + t[:-1])\n", - "A_ = diff(V_, axis=0)/diff(t_)[:,None]\n", - "t_ = 0.5*(t_[1:] + t_[:-1])\n", - "plot(t_, A_)\n", - "legend(('$a_x$', '$a_y$', '$a_z$', 'splines'))\n", - "xlabel('$t$ [Gyr]')\n", - "ylabel('acceleration [kpc/Gyr${}^2$]')" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, "outputs": [], "source": [ "output_file_name = file_name[:-4] + '_processed.dat'\n", - "#X_adjusted[:,0] = t*1000\n", - "#X_adjusted[:,1] = -t*500\n", - "#X_adjusted[:,2] = 0\n", "with open(output_file_name, 'w') as f:\n", " for i in range(len(snapshot)):\n", " output_string = '%d %.8E %15.8E %15.8E %.8E %.8E %.8E %.8E %.8E\\n' % (\n", diff --git a/scattering_experiment.cpp b/scattering_experiment.cpp index 383efdd..657d284 100644 --- a/scattering_experiment.cpp +++ b/scattering_experiment.cpp @@ -69,16 +69,13 @@ public: double vd = (w[0]*w[3] + w[1]*w[4])/d; double vt = (w[0]*w[4] - w[1]*w[3])/d; double vz = w[5]; - if (((z<0)&&(target_z>0)) || ((z>0)&&(target_z<0))) { // Flip up-down z = -z; vz = -vz; } - if (((vt<0)&&(target_vt>0)) || ((vt>0)&&(target_vt<0))) { // Flip left-right vt = -vt; } - return (abs(d - target_d) < pos_tol) && (abs(z - target_z) < pos_tol) && (abs(vd - target_vd) < vel_tol) @@ -103,6 +100,19 @@ private: double target_d, target_z, target_vd, target_vt, target_vz; }; +class Accept_all : public Acceptor { +public: + Accept_all() = default; + bool operator()(const double w[6]) const override + { + return true; + } + void output_information(std::ostream& stream) const override + { + stream << "# Acceptor type: accept all\n"; + } +}; + class Initial_conditions { public: virtual std::array operator()(Generator& generator) const = 0; @@ -188,46 +198,49 @@ class Scattering_experiment { public: Scattering_experiment(const std::string& file_name, const double t_max, const unsigned long long n_experiments, const Initial_conditions& initial_conditions, const Acceptor& accept) : n_experiments(n_experiments), - bunch_size(256), - report_interval_seconds(300), t_max(t_max), accept(accept), - initial_conditions(initial_conditions) + initial_conditions(initial_conditions), + start_time(std::chrono::system_clock::now()), + file(std::ofstream(file_name)), + n_threads(std::thread::hardware_concurrency()) + { + const unsigned long time_count = start_time.time_since_epoch().count(); + const unsigned long big_prime = 840580612873L; + unique_id = time_count + big_prime*getpid(); // TODO hash it + file.setf(std::ios::scientific | std::ios::right); + file.precision(16); + } + ~Scattering_experiment() { + file.close(); + } + void set_concurrency(int n_threads) + { + this->n_threads = n_threads; + } + void write_header() { - auto time = std::chrono::system_clock::now(); - file = std::ofstream(file_name/*, std::ofstream::app*/); file << "#############################################\n"; file << "# Cosmological replay scattering experiment #\n"; file << "#############################################\n"; - file << "# Time: " << iso_time(time) << '\n'; + file << "# Time: " << iso_time(start_time) << '\n'; file << "# Last Git commit: " << git_version() << '\n'; char hostname[256]; gethostname(hostname, 256); file << "# Hostname: " << hostname << '\n'; - const auto pid = getpid(); - file << "# PID: " << pid << '\n'; - const unsigned long time_count = time.time_since_epoch().count(); - const unsigned long big_prime = 840580612873L; - unique_id = time_count + big_prime*pid; // TODO hash it + file << "# PID: " << getpid() << '\n'; file << "# Unique identifier: " << unique_id << '\n'; - n_threads = std::thread::hardware_concurrency(); file << "# Concurrency: " << n_threads << '\n'; initial_conditions.output_information(file); accept.output_information(file); file.flush(); - file.setf(std::ios::scientific | std::ios::right); - file.precision(16); // TODO information about galaxy model } - ~Scattering_experiment() { - file.close(); - } void thread_task(int tid) { auto thread_begin_time = std::chrono::system_clock::now(); auto report_interval = std::chrono::seconds(report_interval_seconds); auto next_report_time = thread_begin_time + report_interval; - std::default_random_engine generator(unique_id + tid); while (counter < n_experiments) { @@ -265,15 +278,16 @@ public: } std::cout << counter << '\n'; } + int n_threads = 1; + int bunch_size = 256; + int report_interval_seconds = 300; + std::chrono::system_clock::time_point start_time; std::ofstream file; std::mutex mtx; - int n_threads; std::vector threads; std::atomic counter; unsigned long long n_experiments; unsigned long unique_id; - int bunch_size; - int report_interval_seconds; double t_max; const Acceptor& accept; const Initial_conditions& initial_conditions; @@ -293,7 +307,9 @@ int main() In_box_cyl accept(5, 50, target_pos, target_vel); Uniform_sphere_escape_velocity_cutoff uniform_sphere_escape_velocity_cutoff(75, 1.82777387E+07, 9.86242602E+00); - Scattering_experiment scattering_experiment("results.dat", t_max, 1000000000L, uniform_sphere_escape_velocity_cutoff, accept); + Scattering_experiment scattering_experiment("results.dat", t_max, 1024*256, uniform_sphere_escape_velocity_cutoff, Accept_all()); + //scattering_experiment.set_concurrency(1); + scattering_experiment.write_header(); scattering_experiment.launch(); std::cout << "Bye\n"; diff --git a/subhalo_411321_parameters.dat b/subhalo_411321_parameters.dat deleted file mode 100644 index 10baab1..0000000 --- a/subhalo_411321_parameters.dat +++ /dev/null @@ -1,75 +0,0 @@ -25 2.14210194E+00 -3.18382346E+04 6.01965396E+03 -7.40300600E+04 1.33692061E+00 1.80178885E-01 1.07239431E+00 2.21308507E-01 1.19572159E+09 7.94136718E-01 1.05392287E+00 -3.18383203E+04 6.01986518E+03 -7.40299989E+04 2.02651928E+11 1.60254784E+01 1.82777387E+07 9.86242602E+00 4.09770782E-04 -26 2.23439941E+00 -3.15303561E+04 5.98829853E+03 -7.33346472E+04 5.83566346E-01 2.99007463E-01 1.10209300E+00 4.30789753E-01 1.31591092E+09 8.87113243E-01 1.02186940E+00 -3.15302146E+04 5.98856330E+03 -7.33346356E+04 2.10080414E+11 1.74192560E+01 4.40717228E+07 6.38641218E+00 1.97067096E-03 -27 2.38015340E+00 -3.10568480E+04 5.93850263E+03 -7.22527806E+04 7.57338142E-01 4.80623433E-01 1.05102590E+00 5.48323466E-01 1.55279964E+09 1.06245157E+00 9.89341552E-01 -3.10568871E+04 5.93837584E+03 -7.22525489E+04 2.15059634E+11 1.81431141E+01 2.93958529E+07 7.58405813E+00 5.81386959E-04 -28 2.53513003E+00 -3.05630665E+04 5.88423782E+03 -7.11224141E+04 8.38855341E-01 7.86295263E-01 9.47215546E-01 8.73080865E-01 1.79262431E+09 1.09986631E+00 1.15079511E+00 -3.05630626E+04 5.88406384E+03 -7.11223326E+04 2.33645824E+11 1.86967967E+01 4.15070463E+07 6.66138109E+00 1.36190386E-03 -29 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