cosmo-replay/plot_subhalo_parameters.ipynb

469 lines
481 KiB
Text

{
"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 scipy.interpolate"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"file_name = 'subhalo_411321_parameters.dat'\n",
"data = loadtxt(file_name)\n",
"snapshot = data[:,0]\n",
"t = data[:,1]\n",
"M_disk = data[:,2]\n",
"X_center_stars = data[:,3:6]\n",
"phi_inertia = data[:,6]\n",
"theta_inertia = data[:,7]\n",
"phi_L = data[:,8]\n",
"theta_L = data[:,9]\n",
"a_mn = data[:,10]\n",
"b_mn = data[:,11]\n",
"M_halo = data[:,12]\n",
"X_center_halo = data[:,13:16]\n",
"b_halo = data[:,16]"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Halo is on average x52 more massive and x53 larger than the disk\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x480 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x480 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"semilogy(t, M_disk)\n",
"semilogy(t, M_halo)\n",
"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, 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/M_disk):.0f} more massive and x{mean(b_halo/a_mn):.0f} larger than the disk')"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Maximum distance between stellar and halo centres is 0.76 kpc\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x480 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"distance = linalg.norm(X_center_stars - X_center_halo, axis=1)\n",
"plot(t, distance)\n",
"xlabel('$t$ [Gyr]')\n",
"ylabel(r'$|\\Delta \\mathbf{r}|$ [kpc]')\n",
"print(f'Maximum distance between stellar and halo centres is {distance.max():.2f} kpc')"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, '$b/a$')"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x480 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"axes([0.05,0.33,0.9,0.9])\n",
"plot(t, a_mn)\n",
"plot(t, b_mn)\n",
"legend(('disk $a$', 'disk $b$'))\n",
"ylabel('length [kpc]')\n",
"ylim(0, 2.5)\n",
"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",
"xlabel('$t$ [Gyr]')\n",
"ylabel('$b/a$')"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x640 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"figsize = rcParams['figure.figsize']\n",
"figure(figsize=[figsize[0], figsize[1]*4/3])\n",
"subplot(211)\n",
"plot(t, rad2deg(phi_inertia))\n",
"plot(t, rad2deg(phi_L))\n",
"ylabel(r'$\\phi$ [deg]')\n",
"ylim(-180,180)\n",
"gca().set_xticklabels([])\n",
"gca().yaxis.set_ticks([-180,-90,0,90,180])\n",
"subplot(212)\n",
"plot(t, rad2deg(theta_inertia))\n",
"plot(t, rad2deg(theta_L))\n",
"xlabel(r'$t$ [Gyr]')\n",
"ylabel(r'$\\theta$ [deg]')\n",
"gca().yaxis.set_ticks([0,45,90,135,180])\n",
"ylim(0,180)\n",
"legend(('Inertia', 'Angular momentum'))\n",
"subplots_adjust(hspace=0.075)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, '$\\\\phi$ [deg]')"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x480 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"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",
" arr = input_array.copy()\n",
" threshold = threshold_factor*2*pi\n",
" for i in range(1, len(arr)):\n",
" if arr[i] - arr[i-1] > threshold: arr[i] -= 2*pi\n",
" if arr[i] - arr[i-1] < -threshold: arr[i] += 2*pi\n",
" return arr\n",
"phi_inertia_fixed = fix_continuity(phi_inertia)\n",
"plot(t, rad2deg(phi_inertia_fixed))\n",
"xlabel(r'$t$ [Gyr]')\n",
"ylabel(r'$\\phi$ [deg]')"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x2b82dde01dd8>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 720x480 with 1 Axes>"
]
},
"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(('$x$', '$y$', '$z$'))"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"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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\n",
"text/plain": [
"<Figure size 720x480 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"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",
"plot(t, X_center_stars-V*(t-t[-1])[:,None])\n",
"legend(('x', 'y', 'z'))\n",
"xlabel('$t$ [Gyr]')\n",
"ylabel('$\\mathbf{r}_\\mathrm{corrected}$ [kpc]')"
]
},
{
"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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787GO44hjj+YF4P0j2lKAxT9wnhCnR3czFHwMeR/gKt1AZbtGaatKWZuK1Yl73dFgi/sWZKFu8jySZ8zuOz3Vc5ULIQJi8J9+J1nT7yTL3o193woqNn5I2a6VlNc2kRCk9F6eswuW/4HNtlS6oiaSOvM64jInyCUBol+QkPrDKgAT4MuhofrooxwXDVQf9uca4Ghjmt+cW32Ux/pomlYPfGsLndO2D7gQx6K6oHgl7PgXFC1z75MOLDvgpKJdA79ISBkDsWNQ/MKJjIzEYrGQkJBAcLAsli9Ev2TywTT8ElKGX0KKqqJW7UDZ9yXsWQxNxaiaxv69hVjzCzmw4p+YwpJIHjeHtNk3EZ0++oefX4gzRELqD0vGPUTfiXv5KCfujUbe++YARVFMuCdCvXfYeTnATEVRAo6YPDXhsMeF6B866mDXm9i2vE5pWTl+JoXYgN5Z9/7RWKZNo6I9En1wAnHx8SQlJWGxWDCbj3f3diFEv6DToYsfB/HjYNbvoa4A+673iG18m7LKSpwq2BsPsvfLl9n75SsEWLLImHEV6Rf8GN+gUE9XLwYZRdO+O/t2MFIUJVzTtIYj2kbiXtj/S03TFvS2fQmMBDI0TevobbsVeBWYr2na0t62CcBmvr1OqhfuoNukadpRtiX5wRozgfz8/HwyMzNP8p0K0UvToHQd1g0vU7rlc0qa7VR3aKgaWEK8mXf5IhixEBKm0G21UVdXR1xcHEaj0dOVCyFON03DWbmLstVvUrxhCRXVNd9aMk4xenP1wmsInHKre1c3GdkTx6GgoICsrCyALE3TCk70fAmpvRRFWYX7OtGNuIfZhwG3Aw7c26Lu6T0uu/eYQtxroMYB9wNrNU2be8RzvgdchnsN1WLgJmA8MEvTtLUnUaOEVHHqVBf23A85uPgJDuwvoKpdo+9TICAGEqbglz6da268RbZeFGIw0jSsJZsoXvoKezd+TnN7JyHeClcO6/2CGjUcbcwt9KT+CJ9g2ThAHJuE1NNEUZR7gOtwz/cIABpwb3/6R03Tio84dirwVyAb6MA9zP/ANz2rhx1nBh4GrgeCca8U8HtN0746yRolpIqT57DC7v9S8flTfLWj5FAvic4IMaPxzjifpDHnk5ySQnR0tFwDLYQAp43Gze9iz3mfmKb1oKkAVLarLD1oIGnsLDIvvpuoETM8W6folySkDiISUsWJcrlcNJQXE1X5GWx+CbrqsTo13sp1oBp88M6YRdL5N5GSlU1UVJQEUyHEsbXXwK63YMe/+GpnKWVtat9DIXFpZF5wI6nzbsfoI0vOCTcJqYOIhFRxPDRNo7a2lqLdWylZ+U8cxWu5IdOF2dAbQAPjyQu/jJApNxKdkCJD+kKIE6O6qN/8PgWfv8SBvK2oh+UIk9mXYdMvI+vK3+ATJfvPDHYSUgcRCani+zQ3N1NcXEzx7i105n4K5Zv7lpCaatEzLHMETLkXsi4HvUx+EkKcup6a/exb8jcK13xEZ0dbX7tOp+f8uT8i+dLfQMwoD1YoPElC6iAiIVUcTX5+Pnv37qW5fB8UL4fK7aC50CkQF6AjLXM0CQsexDB0vszIFUKcEZrTTtnKf5L72UvUlu5Dp8CiLCO+JgUSpsDEOyFjPuhkk4DB5FRDqqyTKsRAprqo2vYZzZuXQHUOoBHpq5AWqid59EzMs3/t/gUh4VQIcQYpBhOJc+8gce4d1Ocso2HVC/h2rAXNBWUbcJSs56u6MIbO/TFJF92Lzuzv6ZLFACAhVYgBora2lv379xMVFUV6MLD7v7D7XdLKK2ltcpEWoyM1REfAyIvhvPsgdoynSxZCDEIRo+YQMWoOtFbA1ldgxxvsLW+muqaG6n89QsCHzzF6/k2kXf4bdL6yQYA4NhnuH0BkuH/w6erqoqioiH379tHWUA3Vu4hozeHSiLK+YzRNQzGYIfNSmPJziBzmwYqFEOIItk4KP36C7Z++jrX90J45fj5mRs1eSMZVv0cfdLRdxMVAJ9ekDiISUgcHl8tFWVkZ+/bto/LAXrSaXKjJgcb96FCxBOqYlaRHr1MgbjyMuhYyLwPvIE+XLoQQx+S029j7+Yvs/vQFuhoq+tp9vIyMPP9yhi56BEOwhNVziYTUQURC6rmvoaGBLz56B1vZNqjZDY3FgEqIt0JGqHs43zs0DkZeAyOvhbBUT5cshBAnxOV0sn/5G+R88hwd1fv72qcn+5Lxo7vcq5D4hHiwQnG6yMQpIQYwp9OJwWCAjlooXEJw3sdoX64Bl4ZJD6nhOjJCDYRHRMHQi2HYAkicKjNkhRADlt5gYOj8W8mYewsH1n3IzvceR60tIC3IDhv+Btv/CZPuRpv4UxSzbAwwmElP6gAiPannjtraWvbk5XBw0xKuiq7Ev3pd33aD+fUuvA0KifEx6DMXuIOpZaIEUyHEOUlVVTrzlxGw7Wmo2AJAm1Xjy3Izoy6+nfTLH0Dn5evhKsXJkOH+QURC6sBmtVop2rePPesW01r4tfs6U6eV7Gg9Y2N6A2hArDuUDrsU4saB7AYlhBgsNA2KlsOqh1m1aSfFze4v7gGBwWRfeidpC36BYjR7uEhxImS4X4h+rqamhj2bl1Oy/iPUim3Q0wyAToHEYB1x4UEwbiGMWAixYyWYCiEGJ0WB9DmQOpuY2Beo/fBpOptqaG9rYfUbj7D705cZd+W9JF54r+yaN0hIT+oAIj2pA0xXI5vefoK81Z9AW3lfc6CXwtAIE+kT5mIedx2kzwWDlwcLFUKI/sflsLNvyd/Y+fHzdLc19rVHREQw/ur7iZn9Uwmr/ZwM9w8iElL7OU3DWrEbc9kq2P8VVG6lpt3Jp/ud6BRIDtYxJGs0MdNvgszLQRaxFkKIH+S09VDw0RPkfPoKto6mvvYrJ6UQcvH/uj9PZQSqX5KQOohISO2HnDYcxWsoWvMuhZtWoHY1cHXmt7/Z77FFkDT9Wsxjr4ewNA8VKoQQA5u9u4Pd7z9G3hf/JMbYzrzU3isWo0fBnIchaZpnCxTfIdekCnG2ddZD0TJady2hYMsq9td24VAPPVzdoRKTmA7p82DIRQyNnyjf8oUQ4hSZfPwZd9MjZF56P64d/4Ydz0NXA9TkUPHcRVQFjWP0LU/jZRnl6VLFaSIhVYjj0VgEBR+j7v2SssLtFDS4qO44fBRCh19MOkMnzSF41g0Qn+WxUoUQ4lzmExgC598LU34MG59HXf8cmyvbaSnexN5dk8meeQmZNz6BPjje06WKUyQhVYhjcTlh3xew7VU4uAaAT/Y4aOzuDadGH4gYRtyIaWTOWoglfTiKoniwYCGEGES8/GHmg9gyF+H13D2weyV2l8bmFYvJX/8l4350C6lX/xHFO9DTlYqTJNekDiByTepZ0lkPO96AHa+jtlWiOyx4butJYJc9AVPcKDImzmVY1nACA+UDUAghPK1sx0q2vPkHWkt29rWFBQcy8drfEDPnZ7IhigfIxKlBRELqGVabBxueRc37mNIWO/n1LsJ9FCalhsLo62DsrXSao6isrCQ1NdW9nakQQoh+Q1VV9q16mx1vP0J3/cG+9pSUFGb9/GVInOLB6gYfmTglxKmq3gVrnsBa8Bl7GlQKG1S6HBoExNIcP4Ox9zyJ0TcIAD9gyJAhnq1XCCHEUel0OobOvo606Vez+6On2f3Rszi7WwjoKoV/Xeje0e+CP0FwoqdLFcdBQqoYvCp3wJq/0pq3lLw6F/ubVFyaDmJGQ9J5eEUNYeiwYagGb09XKoQQ4gQYjEbGLPw1Q+b8mJy3/sCo5o9As0LhYti3lMZhNxNy4W/RyfWq/ZoM9w8gMtx/mlTugK8fwbF/BSsPuihvU0HRQdx4SJtNSHwGWVlZMqQvhBDnirZKWPG/kPc+VqfGO/kOvP2CmLDo1yTOv0eWCTxDZLhfiOPVfBBW/gkKPgLAqFfocenAMhFSZ2MZOpoRI0YQExPj4UKFEEKcVoFxcMWrMP528l/8KXZXIfa2Vpa99AAxX77G5P95mpDhF3i6SnEE6UkdQKQn9SR1N2Nf9TiFn79ElK+LKD8d6E2QfRMH4y6nqkMlKyuLoKAgT1cqhBDiDFOdTgo/eZodHzyNrasNAAUYMn42Y297Bu+oVM8WeA6R2f2DiITUE+S00bn67+R/9AR7qtpwqBAXoHDhZYtg1u/lwnkhhBjEbO1N7PjXbyhY+Q6a6gTAZDKRfdGPybruz+i8fD1c4cB3qiFVLsIQ5x5VpXn966y6dyjvPPc7civcAZWQFLqmPYRjwUsSUIUQYpDzCghl8j3/x1XPbiA+azIAdrudzR+/ROnDo6HgY5COPI+Sa1LFuUPTqF33Fjnv/oXy8tJD7b4RxEy/mREX/hhLQoLHyhNCCNH/BCWOYP6jKynf8CGbX/8tps5ykvS18P7NkDAV5j8GUcM9XeagJCFVDHyaBsUr6fnqj3y2bDtq7xdfxeRH8vk3MOKKXxAeJZOhhBBCHJtlyhXETbgE6+bXUDY+Dt1NULaepmemsj9sHmN+8jdMwdGeLnNQkZAqBixVVeHgOnSr/wIVm/EG0kJ0FHeYyTh/ESOufpCAcAmnQgghjo/OYMRn6h0wZiGseRy2vsKG8h5qC5dQtG0F4y+/m4wrf4tiMHm61EFBJk4NIDJxyk1VVYrWf8yudx4li71kRfTux2zyp2vUbSgTb8cnRL7tCiGEODX2qjy+euo2aop297WFRcYy+dZHiZp0lQcrGxhkdv8gMthDqsvlYt/GL8l571E6S3cC4GdSuGakP7pJd8CUe8EnxMNVCiGEOKdoGiUr/8XmN/9IZ0tdX3PKiIlMvOPv+MYPvt/Hx0sW8xfnPKfTyd4tq8h5/690H9gEuL9Y+XoZGHH+lXDdXyBQek6FEEKcAYpC8uxbsEy9mt3/+QM5n7+Gy2HjQO5myu6ZSPa8Gxh1yxNgkiWrTjcJqaLfcrlc7Nmxnl3vPU7P/jWguQDw99IxavrFpC/6C/qwZA9XKYQQYjAwmH0Zc+tTZFx4F5tf+Tkl25fjdDpp3fQGdK2GC/4EWVeAoni61HOGhFTRP1nb0NY9S84rT9NjtQEQ4KUwesps0hY9hi5qmIcLFEIIMRj5RScz+6ElVG/7gm2v/4rxweXQXgUf3grb/4k676/oomXJqtNBQqroN1wuF86eTrxy/w3rnsLQ08zocBf59QrZ4yeTsuhRdPHjPF2mEEIIQcy4C1kwZh7k/AdW/C90N+I8uJ4P75lE8nlXMfrHT2Hwk3kSp0JCqvA4VVXZv6eAnZ+8QFz1l0wLb+l7bOiIsQyd/RC61JkerFAIIYQ4Cp0Osm+AoRfD6sfI+fgF2qwudi1/h6ItS5l4/e9InnenXAJwkiSkCo/RNI2D+/ey7YNnaNv9OfQ0s1+B0QFG/GMz4Pzfoxt6sfznFkII0b95B8H8x7DEz6fipZ/TULaXzvZWVrzwC2KXvcGUu/5BUKqMBJ4oCanCIyqK97DtvSdo3Pk52NoB8DUqjEmLxveKP8Do60Av/zyFEEIMHBFZ07n0uR3sW/w0W995HGt3B1XFeXxw/wyGz7qG7B8/idEv2NNlDhiyTuoAci6sk1pbsoetbz9K7Y7PwdENgNkAo9PiGXbFr9GPuR4MXh6uUgghhDg1ttY6tr1yL4XrlvDN0ok+ASFceNdfCZl03aAYJZR1UsXA4HLAttfY+sLvqW3pBMCog5FDkhl+1YMYRy+UnlMhhBDnDK+gSKb+6h2GXPg1G168l7ryIoy2FgKX3gklH8P8xyE0xdNl9muSCsSZV7wClj4IjfuYEKHyWStkDs1g1DW/wzzycveF50IIIcQ5KCxrJpc8t4uiJU/ht/159Lp29+/FFyZhnfAzDOf9Pwzefp4us1+S4f4BZCAN9zudTnLXfk7t0qe40OfQnscEJ2Gd8RDmEZcOiqEOIYQQok93M6x4CHa+CcCKEif1hDH5x4+QOON6Dxd3+slwv+hXNE1jf+42tv33Ebr3rATNRWmKgcSIQJj+S5hwB2a55lQIIcRg5BMClzwPo2+g9j93U9KSB9Sz7KnbSFj+JlN+9jJ+UUmerrLfkHFWcdrUlpfw8V9+zJo/zqO7cBloLkK9dZhHXQk/2wFT7pVJUUIIIUT8eCIbnCB6AAAgAElEQVR/sYHzrvslXl5mAMpy1/He3WPJe+8xVJfLwwX2DzLcP4D01+H+jtZmtvznEUq+futby0mNG5NN2k3PosSN8XCFQgghRP9krT/I5r/fzv5d6/vawpKyOO/uFwlPH+vByk7dqQ73S0+qOHmqSunSF3jvp6MoWfoC2NrRK5A9LJWFf3qX9AfXSUAVQgghvoc5IokZf1rOj37xIoGB7jVUGw/m88mvzqfwPw+Cy+nhCj1HQqo4OSVr4JXpRKz7DbruBgBSLVEsfOBFxj6agyFLdooSQgghjlfM9Ju58qU8smcuQKeAojqIyfs7vDoLanI9XZ5HyMQpcUJairYSsOUJ9MXLAPAxKpyXEY7/jJ8ROeceueZUCCGEOEl6v1DG3vcOKbO+pOH9+wkyVEFNDrwyA6bcQ8/4e/AOCPF0mWeN9KSK4+JoqWbzk4v48P6Z7F73pbvR6AszHiD14UIiL/ylBFQhhBDiNAgeOZ/0h3bCefeDzgCaiz0fP8m7d2azd9W7ni7vrJGQKr6fw0rx2w/y7v9kkbvmE1RNJadWxZ51LdyzE2b8BrxkEWIhhBDitDKaYdYf4PbV2MJHsqXKhb2tjrXP3MLnf7yKjqZaT1d4xklIFUenabRtepPP7xzCqv8+Q3dPDwBRKSNY8OgyTFe+CP5RHi5SCCGEOMdFDcfrjlWcf8Ov8fUyAhpV2z/j/bvHkb/0X5zLqzTJElQDyNlagspVtoXdr97Drt25uHr/eXiHxDDhut+RfsHNMiFKCCGE8AB7dQGbn72ZvYX5fW1Roy5gxj0vEhAe68HKjk52nBKnj6bBkrv56r3XqWzvTacmP4bN/wnjr/s9Jm8fz9YnTiurw0VlSzc1bVaau+w0dtpp6rT1/ay6XBh1Lny9TPj5mPE26jEb9XQ1VuHobMXfbCDAbCDIx0iA2YivSY9Op2A0GgkLCyM5Obnvtex2O1arFT8/P3Q6GcARQoiTYYrJZNqjm0n57AnWvvUYHT02anOW88E9E5h6+1Okz1zo6RJPKwmp4hBFAd9wsiL0VHZCyIi5TLvtMSIsqZ6uTJyC0sYu9tV1UNbUxcHGbsqauihr6qa6rQdVVdFs3ai2rt5bN6rV/bPmtANgtgzHGHLoG7q1PBdHc/V3XkengK+XO7jGWhIZN2U6UYFmYgK9cbXVUrRrE8E+Jvz9/fDz8yMgIAB/f3/8/f0JCQkhJCREAqwQQvwQnZ7YS37DVROvYOuzN5GfuwtnZxPOD34CzgKY+dtzZiKzhFTxbVPvw9LdxJybF2IZPllCwwDkdKlsL2th5Z46Vuyp52Bj1zGP7Spcg+aw9f35m6Dp66NHpzPjcKl4mRUUHyM9dhc2p4qiN4GiQ1GUb136oaHQ6YAOm436qk72bCrre8zRVIG1Yh96HYT4mAjxNRHq50WIb+/PviaiQwK49cc3H3o+TcPlcmEwyMeUEEIcyRCRxuSH12P57DFKljzBsHAVNjwLRSvg8pcharinSzxlck3qANJft0UVntdhdbBmfwMrCuv4el8DbT0OAFRrJ872Blxdrbi6W4kYOp40SwwJob4khvnSvHcLzvYG/LwM+JkNBPn5EhwcRGBgIH5+fnh7exMVFUVoaKj7+VSNbruTbruL5m47TZ12GjttNHXaaeqy0dhhp7bdSnVLF7Uddjqs7p1SVFs3rs4mVLsV1d6N9s39YQFZ7xtM0phpWEJ8iA/xIdRgp3b3WrIzEshKSyQuLo7IyEj54iSEEEdq2Acf3e5eUxVotenJj7uWCT95EqOX2WNlneo1qRJSBxAJqeJwLlVjQ3Ej7++o5KuCWuxOFU114epsxtnegNrRQJyfwtDoAJLCfAj19WLurBkMGzas7zkqKiro7u4mKMgdTM3m0/th1mlzUtvWQ3WrlYqWbsqbuintvdygrKmbbpsd1d6D2tOOotNjCIzsO9fRXIW1PA+AQLMBS6gvSRH+ZA9JYlJWGokJ8YSGhrp7dIUQYrBzOWDtk6irH+eTvTYauzUCYtI4/75XicgY75GSJKT2c4qieAF/Am4AgoFc4Heapi0/ieeSkCooa+rigx2VfLijkuo2a1+7tTwPXWcdaWE+DI0OICPKH18v91C5r68vkZGRZGRkEB8f76nSv0XTNBo6bZQ1ucNreXM3Fc3u+/LmbmrqG3A2V+HsaEK1dn7rXINOIT7Em/S4CG6/5QYmJIXibdJ76J0IIUT/YS3eyIonbqS6ugoARe/F6MvvIfu6h9Dpz+7npITUfk5RlLeBK4G/AUXAzcA4YKamaetP8LkkpA5SLlXji7wa3tpcxpaDzWiqCzQVRW/Ey6BjXlYUSY4yjJ21GPU6dDodUVFRWCwWLBYLQUFBnn4LJ6zH7qKwpp2dZS1sKaphS8EBGupqcHU0odrd6/YagqPxThiJSa9jTEIwY2PNpPq7mDM+C2/zuTFxQAghTpRm6yLvtbvZuvQd1N6YF50xllm/+jc+EYlnrQ4Jqf2YoijjgS3ALzVNe7K3zQzkA/Wapk0+weeTkDrIuFSNz3KreW5lEcX1ne6h/NYanK21ZA4fzm2XzuLikTEEehupqKigpKQEi8VCbGwsJpPJ0+WfVpqmUdnSw46yFjburWRzXhFlnaD4BPcdY687gK2mCF8vI+OGp/OjqWO4fNoIAn0ksAohBp/mHYtZ9dxdNDc3AeDt68esO58iZtqNZ+X1JaT2Y4qiPA7cB4RomtZ+WPsDwF8Ai6ZpFSfwfBJSBwmXqvHp7mqeW1XEgdpWHM1VOBrK8FbsZFuCGJMQQnp8JAsXnltr4p2oth4Hm0ua2FDcyPqiRvI3f42rs/lbxxhMJkYOy+CiKdlcNnkYllBZ71cIMXg4OxrY8PRN7Nv+NQAKMPOiK0i95UXw8j+jry0htR9TFGU5EKtp2rAj2mcBK4BLNE379ASeT0LqOc7pUvk0t5rnVxZTXNWAvaEMZ3MlvkaYlhbOhOQQzCYjFouF1NRUkpKSZOLQYSqau/h0Yz5fbtjFjoJ92OzObz2u8/Ilc+Robp0/gQWjYwkwGz1UqRBCnF37ljzLhjf+iEnr4bIhBl6KsOCfdCe3L7jrjL2mhNR+TFGUfKBO07RZR7QPAwqAOzRNe/kY50YA4Uc0pwCLJaSee5wulSW7q3l+VTEHG7twdbbQXbwFPy8D09PDGJ8USnhoMJmZmaSmpp72Wfjnoo5uK4vX5fDZup1sKyiitccdWL2TszEEROBt1HPxyGgWjbcwKj5Iwr4Q4pzXXJpHwzv38NHO7Tzv7U/w9GB+FjqDOxb844y8nmyL2r95A7ajtFsPe/xY7gQeOu0ViX5nR1kzv3o/hwONPX1tkZERZIemMCLSTHKihaysLOLj4yVInQB/HzPXz53I9XMn0tnZyfLNu1m6tZA8xUJ1m5Ueh4v3tlfyxoefk2aJ5daLJnHF+CTpXRVCnLNWHLDy2+1jcTQW023vgB6VsDvmerqsY5KQemb1AEebsWE+7PFjeQF4/4i2FGDxaahL9APddid//aKQV5eswVZfinfKWKIjwrljegrXTrDQWDcMX19fgoODf/jJxPfy8/PjstlTuGz2FFyqxvriRt7eUs7S7ftwttSwp6WGX+bt5I8R8VwzdzI/mz+a2KDv+w4phBADR0tnDz975m2+3LAL1DZc9k4MQQYmZg7hyvMv8XR5xyQh9cyqAWKP0h7de//dDdB7aZpWD9Qf3ia9aOeOjfvruPuFJZQX70FzOjDoFC5PVPnr3TMxG93r2MXFxXm4ynOTXqcwPT2c6enh7Mz25/m361hXWEFLt4OO2jL+740y3vhkBRfPmMh9l01kSFSAp0sWQoiTtqG4kbv+vpiKve7dqHTKHgyxJgx+Bu5f9IiHq/t+ElLPrBxgpqIoAYfP7gcmHPa4GERcLheP/HcFf39vOa7eLUETQn24eWYmPzp/Ul9AFWdHdmY6/3w4jbKyct5bsYkP1+6muL4Te1sDHy7+lI+/+pppE8fyq6tnMD4pRL4oCiEGjJYuO3/5Yg/v76hE84pE7xdMariRGlsTds3AkIQhTEmf4ukyv5eE1DPrA+AXwO3AN+ukegG3AFtOZPkpMfAV7ivivn98yLb97l1ADDqFKyZl8PNr5pKWmiIByEMURSExMYFf/SSB/7lqPp+s3MQbSzeRW9GMau1kQ34JC1vNjLYE8eCFQxmXGOLpkoUQ4pg0TeONlTn87esyWl3ua+x9TAYeuud66po/5O+L3R0kt15wqyfLPC4SUs8gTdO2KIryPvBo72z9YuAmIBHo//86xGmTU1TOdb9/mdp294dDaFAgz9x1BRdOHSXhtB8JDAzkpsvnsfDCGazavIuXP1lDvjEZF7CrvJWrX97Eokw/fnlxNsGBZ3Z9QSGEOFEHalu569n32LYrD71fMN4p45k5JIKHF2QRE+TFRe+vwSfFh4CuAK6eeLWny/1BElLPvBuBh4EbgGAgF/iRpmlrPVqVOGu+3lfPvW/voVEJQtE3M2FcNv+67wrCA2RiTn9lNpu5cMYk5k+fSGOnnX9tPMir6w5itTt45Z0lfPb5F/x64QwumjFpQG45K4Q4tzhdKk9+tJHn/rMEm9U9J9vH1cUjFyVx7XnDUBSFleUrqbJWYY43c9/4+zDo+38ElHVSBxBZzH9gcDgc7Nixg5iYWBYXWXl6xX40DVSHldumpfLAj4Zj0Os8XaY4QUV1Hdz2jy/J27oOcF+uMT8rikWzxpCdnU14+JHLGgshxJm3vbiOu/72NsXFB/raZoxO55l7F2GJCutru3npzeyo24G/0Z8VV63Ax3jmd9+TdVKF6EdKSkrYtGkTjS3tLC5cxQG/LBSdHh+TnieuncxFI6J/+ElEv5QW6c+yP1zJn96P5dXFX+NorePT3Br21q5m3u69jM9KIzs7m6ioKE+XKoQYBDqsDn7/5gr+s2Q5qtMBQESgL3+49VIWzZn4rWO3lW1jW8U2dCYdV6ZfeVYC6ukgIVWI06CtrY0NGzZQWVlJVUsP/91aTpvmjTnRQVK0Py/fMJaMKLmGcaAzGXT8edEULp4whHve2EBZUSFFDdUUrSomo6CW6Tn7mDt5NDNmzPB0qUKIc5SmaXySU8XvXv2M2gPuzkm9ApdOG8Vjd15NyFGul3/646dpzW3FO9qba6+89myXfNIkpApxClwuF7t27SInJweXy8X20hY+LWhEH5mGd0gcFwyL5KmrRxHoLbsYnUsmJIey/IH5/OXzRN7dVERPbQn76ivZV1fCTlskWnQ9M9LDZVKcEOK0Kqhu43+XFLCttAXVHI6i05MUEcCjP72S2RNGHPWckvoSNuRuAA3GhI4hynfgjPZISBXiJDU0NLB69WpaWlqwO1UW51SR1+WHV/oU9EYTv5o3hNvPS0ank6ByLgowG3nsihHcNTOVl9ce4J1NxXTVlrG3x49bXt/GsOgA7pyZQoStmrDQEJKSkiS0CiFOSnOnld/+6yuWVihoins97ciQQO74+Q1cPz0LL6+jbW7p9vyXz+PSXAD8dN5Pz0q9p4uEVCFO0oEDB2hpaaGhw8r7+W00+Q3BHBJEmJ8Xf792NBOTQz1dojgL4kN8+POlw7lnVhqvrT/IfzaX02lzUljTzp2vb8BUvplxicGcPzyRmVMnkpycjE4nE+eEED+s2+bkyQ/W8urHy+nq7MQUlYpvTBq3TEnknllp+Ju/f5SuvaedzzZ/BkC6JZ0Zw2achapPHwmpQpykMWPG8O7Xu1hcosMVMQq9omNCUgjPLxpNRIDZ0+WJsyzC38wD84dy5/RU3txUyusbS6lvr6fVprGsoI6VhXUMWbuHGcMTWDRvGhkZ6RJWhRBH5XCpvPDZZp5/ZyktLS197anmbl67Zyrpx7ld8z+W/YNuazcAt1xwyxmp9UySJagGEFmCynOcTic5OTlkZWVhNptp6LDxwEe5LC+sRVHcQeOnM1K4/4J0WV5KANBtd/LBjkre2lhCfkEh9vqDaE47AME+Rs4bFs9PLp3JxNHD0etlO1whBKiqxr9X5fDEW59TU1vX1x4dGsA9V13ArRefd9yfF1aHlTH3j6G1o5WokCi2PL7lrK+NKktQCXGGNTc3s3LlSlpaWmhvb8cROYwHP8qjqcuOouiIDPDiiStHMi1d1skUh/iYDNw4KZEbJiawq2I0/9lYwkdfb6Wj+gAt3TaWbC/hi50HmTomiwd/ciXZlmC5ZlWIQUrTNJbnV/Lbv79NSdmhHdND/L25/dLz+dmV52P2Mp3Qc76y8hVaO1oBuGXOLQNi8f4jDbyKhTiLCgoK2Lx5My6XC6vDxXNf7mYXHSi9/9kvHhnDwwsyCfI5sQ8PMXgoikK2JZhsyxgeunQEH28v5/8+38C+gnyc9h62tvpwxYubGBodwA0TE1gwKgZfL/loFmKw2FbazFPL9rHpQCPdtc0A+HmbuPHC8/jltXMI8D3xNU0dLgevL38dgOCAYG47/7bTWvPZIp+EQhyF1Wpl7dq1lJaWAlDS0MXSWm9afFJRFB0BZgMPX5rFglGxni1UDCgBZiM3TU3hxinJbD3YxEufb2V9LThcGntq2nngo1weeOZ15o4bwt1XnM+IROmdF+JcpGkaX2zdy2sby9lZ5wRAUXQEJw5lfpKJ3950ERHBx3fd6dGsKF9BT1wPBtXA9TOvx8t47Nn//ZlckzqAyDWpZ0dNTQ2rVq2iq6uLunYrK4vaOGBMQu8XDMB5aWE8fuUIogO9PVypOBc0dNh4b3sF/9lcRnl5OT0HdwKg6HRkDBnC9fPPY+HkdEJ8pbdeiIFO0zQ+Xp/H0+8sY8+BMgwB4Xgnj8Fk0HH9hATumplCqN+pBUpN07ji0ysoaikixBzC0suX4m30zO8ruSZViNOosLCQDRs20NptY0VhHbvbTHjFDUdvMGI26vjNvCHcOClR1j4Vp024vxd3zUzlf6Yl8/66PF7+oIG84go0VWVvYSG/27OHP78Rw+wpE7hu2lBmDonAKJPzhBhQ7A4n/162lVcWr6a4vKavXelu5saxUdw9J/O0rQqzpnINRS1FANww7AaPBdTTQUKqEIfxCQzlq8I61hc1oovKwJxoQafAwnHx/Hx2OpGytJQ4Qwx6HYtmjGTRjJFsyy/mlcWrWL1zL81dDqyNVXy2+COWro4gKmkI180YzqLxFuJDBsb+20IMVlUNrfz9ozV8sHIzze2dfe1eJgMLZoznN9fNJSEy5LS9nqZpPL/ueQD8jf4szFh42p7bEySkCgHYnC7+vamMf3xdTH13FMaUVPTe/sweGsmv52WQFvndvZCFOFPGZaUyLiuVurp63lu2ns/W7yKvqg1bWz31tQG8sNqHF9cc4Ly0cK4db2HWUOldFaI/2Vvbzmuri/j3W2/hcDr72n29zVw2ayK/XnQBMaEnf83psSzNXcrm5Zsx+Bu49rJr8TcN7N9dElLFoLZ37z5WFzXxVqGVypYeAIzB0WRbgnjgwqGMSzx933CFOFGRkRH87IbLufGSWWzZvpPFa3dRGTyc3bU9aBqs3d/Aqh17iYoIZ9GkZBaOiycuWHpXhfAEh9PF8sJa/r25gk0lTQBofmHQWktcdAQ3XXQet180GT/vM3d9+bOfPQuA0q1w46gbz9jrnC0SUsWgpKoqL733BS9+soaadjveaZPQe/uTHObLr+ZlMDczStasFP1GYGAgc2bNZOa0qRiNRvbUtPP21nI+3FZK3cEdlB5UeLI4nue+SmD28ARunpLI1NQw+TcsxFmwp6yGV5as57N1O+nyj8MUngiAosDc6ZO4enQUF00Yesb/P67du5a84jwA5o+fT2zwwF99RkKqGHR2H6zj3qffJK+oHADFYCTErOOXl2axcFy8DJuKfstodO/TPTQ6gD8tyGJBosrLajRbDjZT2VCKvaGUz6qi+GpbPENSErhpciKXj46VdVeFOM16bHb+s3wr/122mdyiMr5ZKElnKyckLoVrxlm4cVIiltCzN7LxzKfPAKBX9Nx/yf1n7XXPpJP65FIU5VTHQNs0TXOd4nMIcUI0TeOlZbv544v/xWF1D+37BATxsxuu4K45WfKLXAw42SOG87vgIHJzc9leeIAtB5vJKa+jp7WW3VV7+HVBPI/FWFg0Ifms/8IU4lyjqirLd+zl3RXbWbUtl45u27ceT4qP4eoLJvLTi6fgfwaH9I9mV9kuthZuBWBm9kxSo1LP6uufKSf7W7kROJUFVi8AVp3C+UKckLZuB3f933KWLluO5nKiKHDhlGwev3shUUHyi1sMTIqiYLFYsFgsTJrUxIy8PPL27GfLgQY2lTTRWrWHxvYGXnUovLbhYN9Eq9lDIzDIiIEQP0jTNPKr2vkst5oP1+VycNf6bz3u7W3mgkmjuO1HU5k8LMFDVcKTS54EQEHh/ovPjV5UOLXh/k+A3BM8xxc4d/72xICwo6yZ2577lLLCHaBpBHobePi2y7juwmmeLk2I0yY0NJQZM2YwceJEpu3bR35+AVuLqigxJpPXQd9Eq9W5B4kIDuDaScksHG8hNmjgrqEoxJmgaRrb9lfy7upd7Gj3p7Spu7fdB8VgBNVJZloSC2dP5KYLxuJrNnq03r01e1m7ay0AkzInMSJhhEfrOZ1OJaR+qGnaf0/kBEVRQoFfnMJrCnHcXKrGS2sO8NSyfXSWHwRNIzM2iOfuu45RmUM8XZ4QZ4TZbGbkyJGMGDGCaZWVxMbGsr++k/9uKefjnVXUFRVQur+Nx/dG8bclscweO5TrJ1qYnh6BXjapEIPY7gNVvLV8O19tzqWqth4An4wp6L3dyziNSwzlvCnXcPmkDOLDAz1Z6rc89elTqJoKwH2X3Ofhak6vkw2p/w/YfhLndfaeu+8kX1eI41LfYeX/vZvDhmL3MiCBKdlcFFzPr2+8iOjoaA9XJ8SZpygK8fHxAAyJck+0+unkaB56ZhdbDlqpbKnG0VLNp+X5fLk6lsSkJG6akcnVY+NlC1YxaOQdqODtFTv4aksupdUN33k8xdfG9fPHc+HwaGL64ahDfXc9W5WtmGPNDPMfxqT0SZ4u6bRSNO1ULi0VZ5OiKJlAfn5+PpmZmZ4up98qquvgupc3UNflRFEUksN8eW7RaLJi+883XyE8QdM0qqqq2Lt3Lxty9rDlQCM5FS3YnO7fA3qfALzDYrl0xjhuOS+NkXGBsoyVOKeoqkZ+dRtf723gvx98RHFp5XeOsUSFMXfSSK6fM56spBgPVHn8ntz2JG8UvgHAv+f/m1ERozxc0bcVFBSQlZUFkKVpWsGJnn9apjMrimIAfDRNaz/G4wHw/9m77/CoiraP49/Zkt4DJAQIoYQaeu9dQKR3QUBBFLGhAg8CiuVRQAVFFBRfqkiVKlJEUKQHEDDUQOikENLbbnZ33j82Ig/SyXJS5nNdeyWcPbvzCy13zpm5hwwppeV2zytKbjlyKYlnvtlBdMQeDJ7+9H+qLR90Uyv3FQXsV1dLlixJyZIladq0KWfOnOFIxHF+/fMMe6ISiEtNIf1yOmsOl2Tt0TiqFPeiR+0SdKkZRDFPtSWwkj9dir3Oup1HOJaoY39MNvFpZgCy0v5ZPBgUWIz2DavxdJu61A4tqVXUB5KYlcjy08sBqBdYL88VqLkht75zzwCaA2F3eH4X9tX8r+XSeIryL7vPxjN0zh/En9iLzZRBy3LuvNbQVxWoinIbLi4uhIWFERYWRqcOSURGRrJx92EOxUn+kgasNsnx6BQifrzK+C+OUb96JZ5uXYeu9cvh5qT+TSl5V2aWiR2HT/PLgZPsOnKSM5fjsElwKloa5xKVb5xXuWIFajatyNNt6lC3fFC+u2vwxW9fkJGVgTAIhlUbpnUch8it/2k6AAvv8vxKYCCqSFUcZMuxGF6av4vkU/uQ2Zl0rRnEkCebEBwcrHU0RcnzfHx8qFevHvXq1SM7O5uETCvLwi+x6tBlTh8/iyUtkd2797B79x5Ge3rTonYVnm5blw51QtViK0VzUkr2nzjPz3uOsPevMxyLukym+d+t2A3Z6bStHEDrSsVoWbFonpxjer8uJ15mwaoFZJNN/Yb1aVS8YM1F/VtuFalBwJW7PH8VyP/7cyl50o8HL/PW4j2kRu5DZzHRp24pBnRsSqNGjfLdT8aKojWj0UiA0cirbUJ5pXV5Vmx1YsmmLA5EXiXDbCUzNZlNv+9h0+978PH2omWdyvRqWZv2dSujUwWr8hhYLBbOxSZxJCaL3Wfi2XU2nkuRxzFFR/7viUIQVDyQZjUr0alRGG1rlcPZoNcmdC6bvGYy5mz7tIXnaj5XYL/X5VaReh2oeJfnKwO3na+qKI9i7s5zvLtiH5lnw9HbshnYqDR9OzSnfv36WkdTlHxPCEGfdk3o064J0bHXWPX7IdbtOsLhyMtYbJKk5BTWbNvHhqPRBFe+SvuqgXSsFkjtkl64OKsOAUruyMjI4OCJc/x2+DThJ85z/NxlUo1+uIb8MwdT7+EPROLj60fdquVoXrMCHetVpmxAwVswez7+POt3rQegSukqPFX7KY0TOU5uFambgBeEEIullH/e/IQQojYwHFiRS2MpCgBfbT/D5NX7yYw6gDNWBjUtQ+8OLahdu7bW0RSlwCkeUJSRfdozsk97LsVe54etB/hp91FOnruEwasIcakmFu29wKK9F3C+foYKbuk0r1GRtnUrUrZ0Kby9C16xoOQ+KSUnL8by28HjHDl9gRPnLnMhNoHUrP9ddy2MiQB4OhtoUNafRmUr0aB0e6qW8i+wVxX/9vHqj7FY7b8fo3uM1jiNY+VKCyohRBAQDhQD1gF/txkIAzoDcUADKeW/ez0o9021oPrH4n0XGL86AlPMGZwSzzGkcRl6dGhJjRo1tI6mKIVKdGIav56MZ/PxWHafvY7VJkk/8Qc2UzoABp2gbFF3qocUo2XNCtSsVJbAwEB8fHwKfNxx870AACAASURBVDGh3F12toUjZy9zMjqFKyYnIq4kc+xqCrGXzpF18a9/v0AIPLx9qR5amkZh5ejYqDrVSngXqi1+z8aepfX41lisFqqXrc7GiRu1jnRXeaIFlZTyqhCiLjAZ6Ap0z3kqBVgMvC2lvJobYynKpohoJq6JACCwbGXerlOVKiHFC33hrihaKO7rwcBGHgxsFEJiupktx2P4YVMKB45HYUq5jsWazenYNE7HprFyXxTFPJ0JLebBE62b0611Q0r4uCKEwGazodMVnmKjsLkan8SRs5c5EnmFiHOXOXMxhgvRcZgtNvTuvriFNrhxrt7dBwCd0ZkSxQOoXKYUdSuH0LZ2KGEl/Qr1Yr3/rvrvjauoY7qP0TiN4+VaHxEpZTQwWNh/NC6ac/iaVLsFKLloz9nrvLrkMDYJrkY9c4fUo1awr9ax8gSr1YrZbMZkMmE2mzGbzWSZsvAr7gc6cDW44qx3Ji01Db1ej7OzMwaDaiWk5B5fdyf61gumb71g0k0WdkZeY+PBSH49dIq4mBis6YnEpZqISzXxpy6aT8O3U8TDmVrBPjjH/EUxFwu1KpQmuHgA/v7+FClSBBcX1Z81v7DaJBevp3HuegZn49KJik/jyLHTHD+8n9T0zDu+zpaZjMBGhQBvqpbwIizIi/J+jahdrjgeqoXgDSejT7I1fCsAtUNr0yqslcaJHC9X//SFEGHAk0BIzqFzQoiNUsqI3BxHKZyOXU1m6Hd/kHLhBO7BYcx+pn6hLlBT01LZvn87ERciiLwSyfXU62RYMsjIziDdkk5GdgaZlky8G3mjc/7nClVGeAY6kw6jzojRYMTbw5sSxUpQOrA0oUGhVCpZiSolq+DrWnh/b5VH5+5soH1YcdqHFUcOasbx6BS2nYhl86Gz/HXmAuTshx6fZuKX47GkRUQgLWb4+Sg+rgYCvV0J8HIhJNCXyiElCCtbkkoVQ/H1VX8vtWSx2rgYn8axCzGcvhTLmctxXIiO53JcPLHxieDqg2uZWv+cn5pO5i0FqrOzMyElAqkYEkT1cqWoU6EU9SqWwtWpYKy8d5Qp66dglfbWWmN7jNU4zeORWztOOQPfAM8AArDlPKUDJgshFgPDpJTm3BhPKXwuXE/nmW92cu34HmymDPrUC6BJ2cLzzSolJYWD5w9y1XiVyMRIIhMjORVziuid0fd8rbRIcP7n1yazyX4MwAzxGfGcjTsLN/0o6RbqRnBoMPUC61E/sD71AutR0qOkmkOoPBQhBFWDvKka5M0rbSqQlW3leHQKf15M4vClJA6dv05UkWBsGclYM1NIyjSRlJnKyZhUfj99DXacRq+DsjUbU6F8OUr5uhLs54Y1/gJeRhuVggMpEeCPl5cXbm5u6u/pI7DZJNfSsjgXk8jlxEyuZcKlxAwuJWRw6tQpLp6OIDvrzldFdSL1xuferkZCAkvhWsxC+VKBVAkJomb5klQqWUS1K3tA55PPc9DpIO4V3anpVpOmlZpqHemxyK0rqVOAQcDXwJfAWUAC5YFXgRFAAvB6Lo2nFCLXUk0M/HYnl47uwmbKoFP14nRpWLnA36o2mUwcOHaAFbtW8MfJP4g1xeLT2Aehz/nP3QDCKNA56TB4GvD28sbHwwcfNx/83P3w8/DD38OfIP8gDAYDWdYsMi2ZXPG5QlpmGhmZGaRnphOfFM/Va1dJSkq6MbbeXU9cRhwbojawIWoD6ZHp+On9qFuxLq2rtaZZmWYU9yiu0e+Mkt+5GPXUDval9k13Qq6lNuPIpSRORKcQcekax6KucO5yDJaMFGyZqVhN6VzN0BFz+tqN12Sc3o01w97d0Nmgw9fNiK+HC8X8fQgq4kepAH9qVg2lctkQfNyNeDobCm0Ba7NJUrKySUg3k5Bu5mLsdc5dieVSbALR15OIjU8mLimZhKQUsk1ZICVG/5K4lPpnI8nspKx/FagGnaCYjwdBxfwJDixC2ZIBtGlSn3JF3fFzdyq0v9+5bdaRWUghcSnuwn+7/FfrOI9Nbn2XHwgsklK+fMvxU8BIIYRXzjmqSFUeSLrJwqDvdnPqwE5smam0qFCUoZ2a0KhRwdxdw2azEXkuklW7V/HL4V+ITIjEduPGBGQnZeMf6E+obyihvqGUq1eOiv4VKe9bHi8nr/sb5A7bO6dkpnD88nFOXT5FlncWEUkRHIw5SIo5BXOcmejsaNZfXM/6X9aj99BTuUJlejXqRbcq3SjqVvT2b6oo96mopzNtqwTQtkoAEApAVraVM3FpnIpJ5fjVRC4nmriclMnFhIyclkQChAApMVlsxKSYiEkxceJqMnABAOeSV3Eqcg6wF1SGa6cxpF/Dy8sDH093vD098PJww9vDDW8Pd3y93Anw9yWgiD/erkZ83OwPjzxQ4EopMVttZJqtpJutZJotpJusXEtM4lpiGnFJqcQmppGQks71lHQSktNITE0jJTUds1cJdN6BN94r6/JxsuMv3nU8m9lekHq7Ginl50qxEBdEiIGyJYpRoWQAlUMCKF8iABcX57u+j/JoTlw/wcZz9lX87UPaE+obqnGixye3ilQjsPcuz+/G3opKUe6blJLRKw5zaPfvWNOTqFvahxGdG9G8eXOto+U6q9XKoo2LWL9/PYevHibLmnXjOZ2TjlJlS9GzcU961ehFsGewQ75Zerl60TC0IQ1DG/6Ty2blaMxRlliWcPD0Qc4lnMNkNWFNsxJxKIKIQxF87P8x9avXp0/DPjwR8gQeTh65nk0pnFyMesJKeBNWwpuedUr+z3PJGdlcSmzKhfg0Ii9f43x0PJfirnMlLoGY64mkp6UhTRnonNxuvMZik6SmpGJJTiE64c77y/zrCuL1y1hiI3F3dcHD1RlPNxc83FxwMhoxGg0Y9XpcPTwIKlsJo06g1+mwmjNJirmEXqfDoLc/dEIgkUgpETkfS5SthF6vw2qTpGRmc/zIQVIzTaRlmknPyibTZCIzy0yW2YzJZMZiycY1pNaNFfAAGZH7sKYn3vX30snghfNNRarOaC8s9QK83Jzw9/GiqK83gf7eFPf3oURRXyoEB1KnSjm8XY339wem5DopJeOWjsMiLDh7ODOy5kitIz1WuVWkbgbaA7Pu8HwHYEsujaUUEnP+iGLVz1uxpF6nfDEPXunckDZt2mh+NSM3SSnZeWUnnx/6nANbD2BJtbcWEXqBd6A3Hep3YECDAdQqVkuTr1uv01MrqBa1htXCZrNxNeYqO4/tZMuhLew/t59EUyKm6yb+2P4HR1KP8JH3R3QI6cBzYc9R1qfsY8+rFB7ebka83ewFLDX+vet2SlY2V5MyuZKYQUJ6NkkZ2SRkmDkbZCEmNo7ElFRSUlNJz8giPTMTc/Y/e70L/f8WZdJqxmI2kWw2kZx8+zx6Vy/crv1TEFszksk4veeeX4dHdYnQ/bNgKPVIOEjbXV5hz3Ozm18P4Oakx91Zj6ebC94e7vh4eRBSthyVKlXG38MJXzcnXKiBp1FSOsAfdzfXAvX/akGy6sAqwg+EA9C/U39CvEO0DfSY5VYz/4rAcuxzUb8CzuQ8FQqMBMoAfYFrN79OSpnwyIMXIoWpmf+uM/H0+WgJWVdP4+Nm5L0+jejXq3uBmYeanJzM8fjjfHfmO/bH7Acg62oW1ngrjao34unGT9OmTBtcDHm3/U5sbCwb92/kp/0/cSLjBLrq/3QQkFLS0LMhLzd7mZrF7jC/QFHykIzMLOKT07ienIYZPdLoRnJmNsmZ2USdP8/5c+dJTs8iJSOT1HQTaZlZWCyWnIcV4eKJR2h9rFJitUqyUhJIObUHq5Tc7dusR/V2N4pMJ72O7FO/42oANxcn3JyNuLk44+rihJuz/aO7qwtlQysRGFAUNycDbk560pOu4WaAQF8PAny98HBzxdnZWfWdzeeyrdk0ebsJV+Ku4OLkwh+T/yDIN0jrWA/kUZv551aRevOPfbe+objDcaSUqt/EAygsRerlxAw6f7mTuCsXsF6OYFTHarw6dACurq5aR3tkNpuNfQf38fGqjzlqPopndXsbHg+jB0OqDqFnhZ4UcS2iccoHY7FYSE5N5kTGCX48/SO/XvwVU7yJtIg0DJ4G6tSqw2ttX6N5yebqao1SaEgpsVqt2Gw2bDYb2VabvVgVAAIh7A+93v6DtxD2xV/q34jyty83f8nkpZMBGNZxGO/1eU/jRA8uT+w4BbzPbYpQRXlQWdlWXvz+IIkZ2Rh9g3i/Zx261w0pEAVqfHw8C9ctZO7+uSSa7PPHhEkwoOYAhlcfjq9L/mypZTAY8Pf1p6lvU5qWaMq55HOMnzOenWInllQL+3bs45nwZ6gUVol3urxD05KFo3WKUrgJIf7nzk/evSei5EUpmSnM+sk+g9LXy5fRXUZrnEgbubUt6qTceB+lcJNSMmFNBBFX7AsahjQOYegT+f+KscViIfxAOF9v/JrfLv6GDRt6Nz3Nmjdj8pOTKeVZSuuIuaqMdxn+b+T/sePADub/Op99l/dhyjRxLPwYT0c8TbNGzZjUaRKhfoVnhaqiKMqDmLx2Mslp9gnQI58aiYdL4VyQmlvN/ItKKa/d45x6Usrw3BhPKZjm7zzDopXrcCpegUaVghnfqbLWkR5ZTEwMqzevZuHBhVxMvQgCPEp78J/u/2FwtcHoRMGcM+bq6kr7Zu1p3bA1ByMOMmfTHLad2YY508xv236jXXg7+nXqx1vN38p30xsURVEc6eL1iyzZtgSA0gGlGd5muMaJtJNbt/t/FUK0kFLetgeGEKIVsAbwzqXxlALm0IUExn+1FEtyHO7WFD4Y1QyjPn8XcIcPH2buz3PZELWBLGsWBk8DletVZvqT06nsn/8L8PthNBppWKsh9arXY/efu5m2bhrhl8KxpFtYf2E9v63+jaFhQ3mmyjN5epGYoijK4zJp+STM2fYODuN6j0OvK7zLd3KrCnADfhFC/KsIFUI8BfwMHMylsZQCJt1kYdi0FZiS4tDr4PWn6hFaKvDeL8zDMi2ZLIpexKqoVWTZsnAr58ZzfZ9jdf/VhaZAvZler6dZ3WYsn7icLwd9SYO6DdA560jPTmfGnzPourorm09v1jqmoiiKps4knuH3i78DUCu0Fp3rFO4W87lVpLYBigKbhBA3Jk4IIfoBq4BfgSdzaSylgBm7cDsXTtk3ju9evwIvPt0tX7dOiU6LZvDGwWyJ24JHNQ+CmwbzzaBveLfJu7ga8v8CsEdhNBrp3qo7P474kW/afkN5n/IAnD15lqFTh9J/Tn8uJF/QOKWiKIo2ph2chlslN3zq+PDBgA+0jqO5XKkEpJQXgNZAKeBnIYSbEGI48D32IrWblDLrbu+hFE7rD55j6dpNAJQP8OKjVwbg5OSkcaqHc/bsWVbvWU2/Df04kXACgMaVGrOu3zpaB7fWOF3e07hEY1Z0XsFbNd+CSyCtkh27d9BqQis+3vIxWRb1X4aiKIXH3ui9/HHlDwD61OlDrdK1NE6kvVy7XCWlPAu0BSoAh7HvPjUP6C+ltOTWOErBEZOcwevTFiEtZlyMOj59pS/+/n5ax3pgUkrCw8OZsngKr815jbi4OACervQ037T7Ru1rfxcGnYHBNQazevRqGoQ0AMCUZmLmkpk0/6C5mgKgKEqhYLVZ+Wz/ZwC4GlwL3fand/JQRaoQwu92DyAO+85SgcAC4D+A703PKwpgL+ye/2w5SdftTSFe6tqMZnWra5zqwVmtVjZu2siHKz9kw7kN2HQ2dDYd7zV+j3ENxmHUqT2v70e10GqsmLCCac9Mo7hncQCuXLzC0KlDeXbBsyRkqc3pFEUpuL7b/h17N+3FHGfm2bBnVdeTHA97JTUe+xant3tsAzyAwdiL1pufUxQAFuw6y97D9s0nGlQKZuyQbhonenBWq5U1P6/hw40fciDuAHo3PSFNQljcfzE9QntoHS/f0ev19G3dl60fbmVw08G46F2QVsmW37bQ4sMWbDy3kdzYIU9RFCUvSTelM3PdTGxZNvQX9Dwd+rTWkfKMh21BpXaYUh7a2WtpTN4ciVuFxrgnRjJrzJD/2ZklP7BarSxbt4wpv0whPjMeg7eB+i3q8+UTXxLonr87E2jNx8uHj4Z+RN/mfRm7YCx/XfkLs7eZMTvGsPHcRiY0nEAxt2Jax1QURckVU9dPJSHFfrfohU4v4O2munX+TagrE/mHEKIqEBEREUHVqvlzJ6Zsq42es3Zz9HIyQsDiYQ1oXC5/3dawWq3MWzWPT7d+Sqo5FYO3ge5PdWdyy8mq12cuM5lMLPhjAYuvL75xy9/TyZNRNUbRq3Ivtc+5oij5WtS1KNqMb4M520yJIiXY9fEujIaCM03s2LFjhIWFAYRJKY896Ovzb58fJV+asvYgRy/bt3ob1rRMvitQAb7/5Xs+2vzRjQL1hT4vMK3NNFWgOoCzszPD2w5nTdc1PFnG3sUuMT6RUdNG0XdOX66kXtE4oaIoysMb9/24G437J/abWKAK1NygilTlsfn1wEk+n7MQ05WTVCzmzlvtK2od6YFtPr+Zz6M/x+phxeBtYOLgiYxrNK7Abm+aV/i6+DKl+RS+aPkF+nN6pFWya88uWr3bivkH56u5qoqi5Ds/H/6ZnUd3AtCoaqNC37j/dh52df9RIcQDN+cXQnjnvLb+w4yr5F8ZWSbenLEEKcGacIkPnyqPsyF/bfW2+MRiRv8+GovOgm8NX74Y8QXDag1Tt5wfo9alW/Pjqz/SoLS9XVV6YjoTvp7AwAUDic+M1zidoijK/TFZTEz6YRIATkYnpjwzRdtAedTDXv4JAx5mZq8h57Ue9zpRKVjembOWS3H2OYWDu7ahXoWSGie6fzabjXGrxjF5/2QkEjeDG7Paz6JbxfzXkaAgqBhSkWXjlzGx60S8nLyQNslvv/9G6/+2ZnOk6quqKEreN23jNK5cs09XGthmIOUCymmcKG96lHuUnwshoh7kARxEdQUodPZGnGHRRvstjRJBgXzwbEeNE90/m7QxYu4IFq5fSMbZDIq4FmF+h/k0CmqkdbRCzWg08mK3F/lxzI/UDKoJwPUr1xn26TDeXPsmGdkZGidUFEW5vWsZ11iTvAbXMq4EFglkfPfxWkfKsx6278+CRxz36iO+XsknzGYzoz5fjMUmETodM0YNwMWYP9pNWW1WXl76Mj/t+gkArwwv5rWbR4hviLbBlBuqlKvCjxN/5JNlnzD/j/lkmbNYvXc1J60nmdpiKlX982cXDEVRCq7PDn5GhjUD19KuzGgzAxcntej2Th6qWpBSPpvbQbQmhBiCfRvX2ykupYy55fwuwCSgCvZNC+YBH9y6BawQwgeYCnQH3ID9wJtSykO5mT+vmrxwPacv2+cK9mzfkpbVQrQNdJ+ybdm8tuY11m1dB0Axr2KsfGulKlDzIBcXFyYOnkiLqi2YtHYScSFxXEy9yMCfBzKq9iieqfKMmjesKEqecCDmABuiNgDQNrgtTUo20ThR3qaWJP/bO8AztzySbj5BCNERWJNz/JWczycAX95yng7YADwNzATGAMWA34QQoQ79KvKAo6ej+HbtDgCKFC3GJ8M7aZzo/pitZl79+VXWbVoHEgLcA1j8+mLKBao5Q3lZ87rN+eW9XxhVfxQGYcBiszB131QGLxmstlVVFEVz2dZs3vr+LWwmGy56F0bXG611pDwvf9x3fbw2SikP3OOcT4GjwBN/XzkVQqQAbwshvpBSnsw5rxfQGOgtpVyZc95y4DTwHvbitcD678p9ZGbbEDodU17pj5erk9aR7inLksUrW19h86bNyGxJkHsQs16YRZUyVbSOptwHvU7P0GpDqRtYl7E7xnL6wGl+jfmVdmfb8eWzX9K4ZGOtIyqKUkh9+tOnRB6LROgEg58eTJBHkNaR8jx1JfU2hBCeQojb9kcSQlTBfov/21tu7X8NCOyF6d96AbHAqr8PSCmvAcuBrkII59zOnldsORbDvhQv3Mo3oH3bVnSrX17rSPeUkZ3BS1tf4petv2BNt1LKsxST+06mbrW6WkdTHlCNojWY33o+FaW9F29MVAz9p/Rn6o6pZNuyNU6nKEphc/LqSb7d8C0ARb2KMrLpSI0T5Q+qSP237UAKkCGEWHeb2/K1cj7+z9VWKeVV4PJNz/997iEppe2W99iPfX5qhVxLnYekZGXzzlr77md+RYvx+fN5fzW/lJJ3d7/Lzr92kn09mzJeZRjbbiytm7bWOprykAJ9A1n29jIG1h2IURixpFmYsXAGvef1Ji4jTut4iqIUElJKXp/7+o2dpT545gPcnd01TpU/qCL1HxnAfGAk9kVOU4E2wG4hRKmbziue8zH6Nu8RDQTdcu6dzuOWc/+HEKKYEKLqzQ8gz0+KlFLy2aYTxKRkATC+U2WKeub9C8bro9az6fwmnIs506B+A15q/BKd2ndSC27yOS8vLz4e8TGf9f+MALcApFUSvjOcDp914FBMoVi7qCiKxmZtncVfZ/8CoF3ddjxV+ymNE+UfBbJIFULohBAu9/kQAFLK5VLKZ6WUC6WUa6SUE4H2gD9wcxMz15yPptsMnXXT83+fe6fzuOXcW70ERNzyWHuPL11zm/44wKy5i8hOjKZBGT9618n7TfsvpVziv3v/C4C/iz9zhsyhb6++ODnl/Tm0yr3pdDp6tuvJ0jeXUq9EPQBio2LpNbkXiw4v0jidoigF2aWES0xfNR0Abw9vPhn0icaJ8pdcXzglhLivxUBSyh9ye+ybNMd+2/5+VAZO3u4JKeVOIcQ+oO1NhzNzPt7u8qDLTc//fe6dzuOWc2/1NbDilmPlyMOFalZWFu/PX4fVnAUxp5nYqWeevxKZbctm7I6xpGenI4Tgw6Yf4u/qr3UsxQEqlK3AorGLmDR/Esv/XI4pxcRHOz4iKjOKcfXH4aRXP5QoipK7Rs0bRUaWfXOR8X3HU9SzqMaJ8hdHrO5//qbPddhXt0djn69ZEggEdgOOLFJPAvfby/V2t+NvdgmoeJvzi+c8d7Pi2Oeb3nxucf7t72N33NRAShmHvf/qDXm94PtqxRZOX7V36+rXqQ1hJX01TnRv3xz5hv2H9pOdkM3QrkNpWqKp1pEUB/L09GTqS1OpsqEKs07NwuRtYuXplUQmRjK95XSKuqlvIIqi5I4fdv3Anog9ADQMa8iApgM0TpT/5HqRKqVs9ffnQohZwAop5cybjo0EwnJ73FsyxGCfX5obygLXbvr14ZyPdbmpIBVCBGEvwr+95dxmQgjdLYunGmCfA3s6lzJq7mrsNWat+R0A7yLFeH9gq3u8QnuHYg8xa9csMs9nUsy1GJUTK2sdSXkM9Ho9Q7sM5an0p3jjtzc4Gn+UI9eO0H1xd6Z1mEb9UvW1jqgoSj6Xak7lmzPfYPQ1Ysg0MH3IdK0j5UuOnpPaH5h1y7Fvco7nKUKIf11CEUI8CdQBNv19TEp5DPuV2uG3tKkaAUhg5U3HVgIBQI+b3rMI0BtYL6W83XzVfGnSd6tJTLevXBw7qCs+bnn71mmKOYWxv40l9XgqBgz0qtCLVs3zfmGt5J4A9wDmdZhHj9AeWDOtnN9/nj4f92HpwaVaR1MUJZ+bdnAaCSTgWcOT94a/R7B/sNaR8iVHN/O/AAzlf68uDgEuOnjch7FbCPEn9tZSyUBt4Dnst/Q/uuXc0cA6YIsQYin2K8MvA99JKU/cdN5KYC8wL6e/ajz2BVF64F0Hfi2P1e7Dx1m3OwKA0EqVGda2msaJ7k5KyYd7P+Ts0bNYM610COlApxadKFKkiNbRlMfMSe/EpEaTcL7izCzLLLIt2bz51Ztc6HmBsZ3Gah1PUZR8KDwmnJWn7derGhRvwNM1C/S+PQ7l6Cupw4AJQoizQojfhRBnsW87OtTB4z6MZUAo8Db27U07AHOAelLK2JtPlFL+hP3qqF/OuT2wF7IjbznPCjyZ896vAp9gL1RbSylPOfKLeVwsFgvvzllNtlUiDEY+fbE7el3enjv7U9RPrA1fi+mqiVCfULrW6kqNGjW0jqVoRAjB273fZvLAyTjrnUHCjJUzGDFnBBar5d5voCiKkiMtK403l72JtElc9C682+jdPL+eJC9z6JVUKWW4EKIc0Ih/eobukVLmuS1fpJQTgAkPcP4aYM19nJeIvVgf9vDp8q6lW/Zw6GwMAB1aNqFppdutE8s7ErMS+XDnh6SfSsfd4E7Pyj1p3bq1+k9EYUCbAZQKLMWLX79IckYy63avIyYuhnmvzsPH00freIqi5APjl47n7OGzGDwNvDb4NUp5lrr3i5Q7ehx9Un2AECBESrkDCBBCqMkZBYDFamPRSSvOQRVx9fZn6rC8v7PUV4e/IvavWGS2pFPZTnRs3REPDw+tYyl5RPOqzVk7cS1BAfZ9Nvaf2U/X97ty5uIZjZMpipLX/XHyD1btsO+CXsqzFENqDtE2UAHg0CJVCNEeOAZ05p+G+CHAbEeOqzweP+y/yKm4dJyKleE/LwwgyMdN60h3dSrhFEuPLMWSZKGsd1k61etE+fLltY6l5DGhgaFsfmczVStXBeBM/BkGzRmktlJVFOWOsrKzGDt/LDZpQy/0TBs6DaPeqHWsfM/RV1KnAZ2llL0Ba86x/djbNyn5WFKGmc+22DtolfJzZVizshonujspJVPCpyBcBH4N/Hip3Us0bap6oiq35+fmx7o31tG6RWt0LjqSSyUz8OeBRCVFaR1NUZQ8aMKSCVyIvQBA3zZ9qV9WtbLLDY4uUgP4p5eovOWjko9Nmr+JxOQUACZ0qoKLUX+PV2hr68WthMeEA/B0jafp36k/Li4u93iVUpi5GFyYP2g+wwYMQ+esIzo9mmc2PsOfsX+SkZGhdTxFUfKIX/76haXb7a3rSgaW5P0+72ucqOBwdJG6F3vLpZsNBXY5eFzFgSLOnGfphq2kn9hBJfcMnqgSoHWku8qyZPHZgc8ADZfxIAAAIABJREFU8HH2YUSNERonUvILvU7PO03e4ZVarwD2/roD5gzg/dnvc/nyZY3TKYqitcS0RN76v7eQSAx6AzOHz8TV6Kp1rALD0X1SRwDrhRCvAB5CiMPYC+NODh5XcaD/zt9AtlWC0PGfHg3z/Mr4BccWcHLvSQweBsb1HIe3s7fWkZR8RAjB8OrDKepalHe2vkPy2WQWs5ik9CRe7PwiNWvW1DqioigaeX3e68QnxwMwvPNw6pWpp3GigsXRRWpToBZQHwgGrgD7sO+4pLZ1yYfCj53l10MnAahXqxotq+bt9hox6TF8te0rsuOz8cvwo0xaGa0jKflU99Du+Ln48XLGyyQeT2R91HrSVqUxKG4QrVq1wmhUiyQUpTD57dJv7M3eizAKqpSuwrgu47SOVOA4+nb/N9Jun5RyhZRyd06D+68dPK7iIB8v3IDVBkKn471nn9Q6zj19tv8zEk8mAtClYhdq16qtcSIlP2tRqgWLnllEiYYl0Lno2H5pO19t+4qVP64kKSlJ63iKojwm1zOv8+7ud3Hyd6JE4xLMGj4LnXgcXT0LF4dcSRVCNM75VC+EaATcfD+4DJDuiHEVx9p1NJIdRyMBaFqvJg1CgzROdHeH4w6zavsqbGYblf0q0++Jfjg7O2sdS8nnaharyZLeS3je43nOHjjLgdgDXNt9jdikWLp16EZISIjWERVFcSApJZP2TCIhKwGACc0mUK5oOY1TFUyOut2/OOejC/DDTcclEIt9i1Aln/nv/J+Q0n4V9f1n8/a0Ypu08d6298i6nIVBGOhXtx8VK1bUOpZSQJT1KcsPXX5ghNsIjv55lAsXLvDVwa+4nHyZt59/Gz8/P60jKoriIDM2zeCX079g9DHSPqQ9T5V9SutIBZZDrk1LKctIKcsAc//+POdRVkrZSEq52hHjKo6zNfw4+47be0Q+0aQe1UOKaZzo7taeWcuhfYdAQuMSjenWrlueX+Cl5C8B7gEs7rSYgU8MxCPMg0yZyerU1cyLmke2Lc/t/KwoSi7YeWIn01dOJ/VwKm7xbkxsOFF9b3Egh06gkFI+78j3Vx6f6Wt2A6A3GJg0JG/PRc20ZDJl4xQsSRY8nTwZ1nYYRYoU0TqWUgC5GlyZ1HgS07pPI7BBIK7lXJl/bD5DNg7hStoVbDab1hEVRcklsUmxvPzNy2TbshFC8F7791S3GAdz9LaoLwshat1yrLYQ4tbeqUoeFn4+gWPW4riWq0ePDq2oUCJv38pcemwpV45dAaBDaAeaNlQ7SymO1alsJ37s+yNVilQB4Gj8UXqu6sm7s9/l9OnTGqdTFOVRWa1Wnv/qea4lXwPg+S7P0yGsg8apCj5HL0UbB0TeciwSGO/gcZVcIqXkk02nAHD3LcqkZ57QONHdZVmyWHByAW6hbgT6BzK803C1WEp5LEp7leb7J7/n6UpPAxBzNIa54XMZM3cMW3/bitVqvcc7KIqSV723/D0OnjkIQL2wekzsOlHjRIWDo4tUZ8B8yzEzoLZjyCf+iIxn/3n7CsbBjUMI9M7bW4muPL2S61nXcSrqxLsvvkvlSpW1jqQUIk56J8Y1GMfnLT+nSNkiCKMgPDac0ctHM/uH2aSlpWkdUVGUB7QufB3ztswDoKh/Uf7vxf9T7aYek8exLerYW46Nxt7QX8kH3p+7BktKPO5Oel5skbdbbJisJuZGzAUg2DOYJ8s+qSa0K5poU7oNawetpWmHphi8DMRlxjF1+1Te/PJNLl68qHU8RVHuU1RMFGPmjsGGDaPByDcjv8Hf3V/rWIWGo4vUl4F+QogLQogdQogLQD/s26Uqedz2w5H8efgomVEHaBOQhZ+7k9aR7mppxFKiY6MBGF59OAadozdUU5Q7K+FRgu+7fc9bg9/CtaQrFmnhp9M/MWj6IH7d9StSSq0jKopyF9m2bEYsHEFqVioAY/uPpUGZBhqnKlwcvbr/PFAd6A/MxF6g1sg5ruRxny/fCoBep+O1Hs00TnN3ZquZmT/PJOVQCi5nXXiiVN6eO6sUDgadgVdqv8Lyl5dTtnZZhE4QmRTJiPkjmLVmltbxFEW5i88Pfs6VoldwDnKmfcP2jGitrq89bo9jUoUfUB4oI6XcAxQXQgQ/hnGVR3D8fAy7/jwOQIu61ShXPG/f3lj611Kiz9ivorYJbIOrs5r2rOQdtQNqs+GFDfTo3gO9q54MWwYzo2cyZf8UzNZbp+0riqK1Lee3sPD4QoROUKdhHb567iutIxVKjm5B1R44BnTmnxX9IcBsR46rPLrPlm3l77uRo/q21TbMPZitZr7c8CXSJvFx9mFEF/XTrpL3eDl58UWnL5j+ynSK1iqK3l3P9ye+Z8DPA4hKjtI6nqIoOU7EnGDiLvvqfU8nT6a1nIarUV340IKjr6ROAzpLKXsDf/df2Q/UdfC4yiOITUxl4y57q40aFcvSuGqItoHuYenRpVw9exWArrW7UrpkaY0TKcrtCSHoWbknawetJcw/DICTCSfp+m1XJv7fRDIzMzVOqCiFW1J6EoM+HUTc4ThsFhsfNf2IUp6ltI5VaDm6SA3AXpQCyFs+KnnU9BXbMJktAIzs1VrjNHeXbc3my5++BAk+zj681FntE6HkfcFewSzsuJDnwp7Dlm4j8WQic3fOpeeHPTlz6YzW8RSlULJYLQyeMZir169ijjfT1bsrLUu11DpWofY4WlDdWjUMBXY5eFzlIWWYzCz/ZQ8ApQKL0qNpdY0T3d0PR37g6jn7VdRudbtRsnhJjRMpyv0x6o2MqjOK2Z1mU6S4fdveI1eP0OW/XVi6bala/a8oj9mo+aM4cPoAADUq1OD97u9rnEhxdJH6EvC8EOIk4CGEOJxz7FUHj6s8pO+3/UVyWgYAw7q2zNN9RrOt2cxcNxMkeDt580qXV7SOpCgPrFnpZmyfsJ0WTVuAgGRTMm8teouXvnqJpLQkreMpSqHwxc9fsGrnKgCCigXx/WvfY9CrNoZac3QLqotALWAwMAB7gVpLSnnJkeMqD2/zeRPuVVoQVK4qwzo11jrOXa2IWMHVi/arqD0a9iCwWKDGiRTl4fi6+LL4ucW8M+wdnFydkEjWHVxH6wmt2fjnRq3jKUqB9tPBn/hs5WcAeLh58P2o7/Fz89M4lQIgHHVLSQihB7YBT0gpTQ4ZpJARQlQFIiIiIqhatapDxkgzWVgWfglPZwN96uXdyeI2aaPLmi5ERUfhGuvKplc3UdS/qNaxFOWRRcRGMHLOSM6c/Wdu6jO9n2FC2wl4OHlomExRCp4j54/Q8+OeZJozMegNzH1jLm2qtNE6VoFx7NgxwsLCAMKklMce9PUOu5IqpbQCpQCjo8ZQcp+Hs4GhTcvk6QIVYOeVnVxIuYDeXc/rfV9XBapSYIQFhPHr278yssdIjAYjxiJGNlzbQLe13dhxeYfW8RSlwLiefp1nZzxLptneVWPCwAmqQM1jHD0n9TNgkRCivhCihBAi6O+Hg8dVCrjFJxYD4GZwo1v5bhqnUZTcZdAZeLvz26x/Zz3Nmtl3e4vNiGXkryN5c+ubJGWpuaqK8ihMVhNjdo4hLTANBAx4YgDPt3xe61jKLRxdpH4JdMW+yv8ScDnnoeakKg/tROwJtv+5HWmTdCvfDU8nT60jKYpDVCtVjQWdF/BOo3fwMHogbZIVa1bQ7P1mrD+5Xut4ipIvWWwWxvw+hv0x+3EOcKZ7j+5M7jdZ61jKbTh64ZTuDg+9I8dVCrYvN35J+ol0kvcm07VUV63jKIpD6YSO3hV6s6brGqqaqmJNt5IQncCIaSMYumQo8ZnxWkdUlHzDarPy9ra32XZpGwC1i9Xmkw6foBOPY5d45UE57E9FCKEXQvwuhHB21BhK4ZOQkcCmfZsAqBpYlSpBVTROpCiPR4B7AAuGLOCl1i/hanBFZks2bdlEy49asvrkatVXVVHuQUrJiDkjWLJiCdZ0K5X9KjOzzUxcDWrL07xKLZxS8pXZv87GlGVvFjGk7RBtwyjKY+bi4sL4Z8az5PUlhAXYt1VNvJzIq9Nf5bllzxGbHqtxQkXJu8YsHsOGvRuwmW14XvFkdrvZarpYHqcWTin5hsVmYdlvywAI8A6gd+PeGidSFG3Uq1qP1e+s5qUWL+FucMdmtrFl8xbaTG3DihMr1FVVRbnFBz9+wA+//gCAv48/S15fgp+L6oWa16mFU0q+sXzfcuIT7PPv+rXsh16vpjYrhZebmxvjh4xn4ciF1AioAUByTDKTdk/iuc3PEZUcpXFCRckbZmyaweyfZgPg5e7FkreWULZoWY1TKfdDLZxS8o25v8wFwNXJleHthmucRlHyhoY1G7L07aWMaDqC4JrB6Aw6DsQeoOe6nnx1+CtMVrWXilJ4LdixgKnLpgLg6uLKgjcWULWEYzbDUXKfw5ezCSG8hRB9hRCjhBB9hBBejh5TKXj2nNnDiXMnAOhYvyM+7j4aJ1KUvMPLy4sJQyeweehmnq70NAKBxWZh+prpdPyuI/ui92kdUVEeu1Xhq5i4YCISiZPRiTmvzKF+2fpax1IegEOLVCFEYyAKeA2on/PxXM5xRblvszbNAkAIwStPvqJxGkXJmzycPBjXYByLn1xMaVmazAuZnNp7in7T+zF662gSshK0jqgoj8W+q/sYPX80VpsVvU7PFy98QasqrbSOpTwgR19J/QIYIaVsLKXsL6VsArwIzHDwuEoBcj3zOkfdj+JWzo0mtZtQoXgFrSMpSp5WrWg1pjebTsfyHTHqjJivmVmybAltZrbhx9M/YpM2rSMqisPsuLyDkdtG4hzmjMHVwMfPfkyXOl20jqU8BEcXqeWBH285tgoo5+BxlQJkxekVWHVWXEq5MLrXaK3jKEq+EFoulBmjZjC562Qq+FRAWiRxx+J4Y+Yb9F/Wn7NJZ7WOqCi57ueon3lt22uYrCac3J2YOWomA5oO0DqW8pAcXaT+hf3K6c1eAI45eFylgMi2ZrP81HIAKvlVok5AHY0TKUr+4ebmRr8u/Zj76lwG1xqMp5MnllQLOzfvpOO0jkzbN40sS5bWMRUlV3y+6XNGrRyFRVpw0jnxeavP6RzaWetYyiNwdJE6AnhDCBGVs/tUFPAW/y5cFeW21hxdQ2yyvUH5gMoDEEJonEhR8p8yZcrw3oj3mD1oNg2DGiIQpF9KZ86BOXRf251dV3ZpHVFRHskHaz7gk2WfkHYiDX2intntZtOyVEutYymPyODIN5dSHhNCVAIaAEHAVWCflDLbkeMqBcecNXNIupSEX2k/OgzooHUcRcm3jEYjLZu0pEaVGvzw8w+sjl5NrEcsl9Mu8+LWF+kY0pEx9cdQxLWI1lEV5b5JKRmzdAw/bLE36ndzcePzdp9TL7CexsmU3ODo1f0vA2FSyp1SyuVSyp1ANSHES44cVykY/jr/F8cvHgcJzUOa42Jw0TqSouR7vr6+jBwwko2vb+Q/9f+Dm8ENgDW719Dyo5YsOrxILaxS8gWbtDFi7ogbBaq3mzeL31xMy6ottQ2m5BpH3+4fB0TeciwSGO/gcZUCYO62uUjs2zsOaz1M4zSKUrAYDUYGVB7A2m5raVW8FRnnMki8nMi4meN46uunOH7tuNYRFeWOzFYzg2cNZv3O9QD4e/mzbOwy6pdXfVALEkcXqc6A+ZZjZsDVweMq+VyWKYvNBzYDUL5MeWqVqqVxIkUpmALdA/m4yce82vRVvJ28kVbJkQNH6PhuR95e+zap5lStIyrK/0jJSqH39N5sC98GQHG/4qz6zyqqBVfTOJmS2xxdpO4Fxt5ybDSgtj9R7mrlnpUkZyYD0K95P43TKErB5u7uzphBY1gzdg1tKrRBhw5LpoUFaxbQcHxD/m/3/2G1WbWOqShEp0XTfXZ3Dhw7AEDpYqVZ8/Yayhcvr3EyxREcXaS+DPQTQlwQQuwQQlwA+mFf9a8od7RsxzIAXFxdGNBQ9bhTlMehQtkKzB87n6+HfU1p39IAJMUn8c6cd2g7tS2HYg9pnFApzI5eO0r/Df2J9Y7F4G2gepnqrBu/jpL+JbWOpjjIIxepQgi9ECI45+F783NSyvNAdaA/MBN7gVoj57ii3NapS6c4fO4wAK3qtMLLxUvjRIpSeOh0Ojo36cy2j7bxVpe38HbxBuCKvMLgTYMZ8/sYotOiNU6pFDabzm/iuc3PcT3rOkInGN5rOGvHraWIl+pGUZDlRgsqHXAu5/MXgO9uflJKaQV258I4SiExf/t8bNhXFz/X+jmN0yhK4eTi4sKo7qMY2Gogn274lK3WrZilmY3nN7L90nae8n6KV1u9iq+H773fTFEekpSSSasnsXDfQtwru2PQGXi7wdv0qdhH62jKY/DIV1Jzep7G5fzywqO+n1K4SSkJN4Vj9DMSHBxMo5BGWkdSlEKtqE9RpgyYwvoe6+kQYu9VnJ6SzrervqXp2KZMXzudzKxMjVMqBdH19Ov0mNaD79Z/hznOjO6yjq/bfq0K1EIkt+ak/gAIoGMuvZ9SSB2KO0SsUyye1T0Z3mu42mFKUfKIII8gPmnxCfM7zCcoKwiApIwkPl3zKU3GNGH2htmYTCaNUyoFxY7TO2j1Tiv2R+wHwN/Tn+/6fkfjoMYaJ1Mep9wqUn8BooDXhBALhRB9hBAthBDNb37k0lhKAbYqchUABp2BrqFdNU6jKMqt6gTUYfPrm3lnyDv4+tlv9cemxvLByg9oPrY58zbNU8Wq8tBs0sZH6z9i4NSBXE+4DkDd0LpseX8L9UNVD9TCRkgpH/1NhLABEvvV1Du9oZRSOnQb1oJOCFEViIiIiKBq1apax8l1SVlJtFvZjixrFk+UfoLPWn6mdSRFUe4i05LJl9u+ZN6meaQkptw4XsavDGP6jqFL/S4aplPym7jUOJ7/5vkb7aX0Qs8LT77AuB7j0Okc3YxIcYRjx44RFhYG9t1Hjz3o63PzT13c9PFOD0W5oxmrZhC3Pw7TVRM9Q3tqHUdRlHtwNbgy5okx7J+8nxd7v4ibt32L1XMJ5xi7byzPb3meg7EHNU6p5AcHYw7S9v22NwpUf09/FryxgPG9xqsCtRDLrSubC3LpfZRCymKx8NP+n7CkWvD38KdhUEOtIymKcp88nTyZ+ORERrYeyadbPmXVoVUYvAzsjd7L3ui91A2oSzNbM3o07oGPj4/WcZU8xCZtzI2Yy8w/Z5JVNAvioX6F+sweMZsAnwCt4ykay5UiVUr5bG68j1J4/XLoF64kXwGgR9Me6IT6yVlR8hs/Fz8+6vIRr7V5jXnH5rHy9EpMVhO7/9rNluNb+HbTt/Rv3J/+rftTrFgxreMqGjuXcI4Pwj8gPCYcAM/inrxW9zVGtByhrp4qgON3nFKU+7Ji9woAdEYdzzVTvVEVJT8LcA/gP/X/w6aemxhcZTD6TD0Al1IvMXXzVDq934kJ30zg1JlT5Ma6CCV/sdqsTN0wldZvt2bP6T0ABHsG8/2T3zOy9UhVoCo3qL8JiubSM9LZfcK+30P1itUJ8gzSOJGiKLmhiGsR3qr3Fn+M/oOXBr2EZ5AnCLiafpV5e+fReUpnhnw8hO37tmM2m7WOqzwGf135i3YftOOLlV9gNplJP5VO79DeLO+8nMr+lbWOp+QxBbpIFUIUF0JMFkJsF0KkCiGkEKLlXc5vLITYKYTIEELECCFmCCE8bnOesxBiihDiqhAiUwixTwjR7lHeszBbH76eVHMqAN0adtM4jaIouc3f1Z/xrcazd+Je3hz2JsXKFUPoBemWdLZGbmXQ7EEMXTiU8JhwdWW1gMrMzmTSj5PoPKkzp86fAqCIVxFmDp7JO43fwd3ornFCJS8q6C2hKgJjgUjgL+CO2xcJIWoCvwIngDeAksBbQCj/3qRgPtAL+DznvYcAPwshWkkpdz7kexZa6/auA8DoYqRX7V4ap1EUxVF8XHx4o/EbvNzgZTae3cicbXM4evQoNpONQxziuc3PUc67HN1Du9PAswEVSlZQt37zOSkli3YvYtqqaSSnJNOtRjeKexenbGBZqpeujtFgJCoqSuuYygPS6XQ4OzsTEBDg0H+jBb1IPQj4SykThBC9gBV3OfcjIBFoKaVMARBCnAfmCCGekFJuyTlWH+gHjJZSfppzbCEQAUwFGj/oexZmCckJhJ+xT5qvU7UOvq5qH3BFKeic9E50rdCVrhW6EnEtgrkH5vJ7/O+YbWbOJp9l6u6ppO5JpXJgZXo06UHf5n3x8VRdAfKbo3FHGTV7FCfPncTJ4MQLzV+gUflGFPEpgouTi9pRMJ+SUmI2m8nMzMRkMhEcHOywQrVAF6lSytT7OU8I4QW0A6b/XUzmWAhMB/oAfxeUvQAr8O1N42QJIf4P+EgIUUpKeekB37PQ2n5qO5nSvu93z0aqN6qiFDZhRcOY1nEaCVkJrDmzhtWRqzkRcQKrtBIRHUHEygimrZ1Gy+ot6d+iP82qNEOv12sdW7mL6LRovvjzCzZEbSDDnAFA7zq9aV21NcFBwQQEBKgCNZ+TUhIXF0dCQgKxsbEUL17cIeMU6CL1AVTD/ntx4OaDUkqzEOIwUOumw7WA/2/vzsOrqu79j7+/SUgYkjATIAxBEGQQGQUZrAhCsdrhSrXg1NJalFLrrVXr1FqH21Kr/VWpt4L1WmuLiqAtWhwAmURAA8gYkEmZwxBCEiDj+v2xT2IIATKd7HNOPq/nyXNO9l57n082h5xv9l5r7a1lCk+AVYHHPsDuSu6zzlqdt5omQ5oQdTyKb16su9OI1FXN6jdjYq+J/KDnD0gdlMr/Lf4/3l/5PicyT5Cdn83bqW/zdurbJDVOYlT/UYy/fDx9O+rXaCg5fvI4f/74z8zeN5vcQu/WuAkXJHBN52uYOGwiUS5KBWqEMDNatWpFZmZmUG+DrCLVU/wnwP5y1u0Hhpdpe7Z2AG1LtavoPs9gZq2AlmUWdz7XNuEmtzCXBV8uwKKNUX1GER+r8WQidZ2ZMaDtAAaMH8CJcSd4Y/Ub/HPJP9mQtgFX5DiYeZB/LPwHr697nf7D+zO201jGpIyhfUJ7v6PXWYeyDvHMu88wa8kssnOzaTyoMVExUVzV8Sr+u/9/0z6hPTt27MA5pwI1gpgZ0dHRFBUVBe01wqZINbMoILaCzXNd5YaINijerpx1p0qtL257tnal91WZfZZnMvDr87QJa0v3LCUnPweAsZ00jkxETtewXkNuGXQLtwy6he1HtjPzo5nM+2Qeu/bsIi4pjq0ZW9masZU/rf4THQs6MrztcG4YfAMpTVP8jl4nbE/fztNvP828lfPIzfvqo67diXb89vrf0i+p32ntVaBGnmD/m4ZNkQpcDnxYwbbdgbRK7Ptk4DGunHX1S60vbnu2dqX3VZl9luc5zhzo1Rn413m2Cxsvz3+ZwvxCEhMTGZ58zhPLIlLHdW7emYe++RAPffMh1u1ex9LDS/ngiw/YnrkdgHVr17Fm2RqefeNZul7QlbH9x/K9wd+jfROdYa1pq3au4o9z/8iytcsocl+dRWvfsj0/HPNDJo6YSHSU+g1L9YVTkZoGVPT2q+VdYq9I+/J6/rYB9pVpm3yWdpRqW5l9nsE5lw6kl14WSX+F7tizg8UfLabAFXD56MupH1P//BuJiAC92/emd/ve/KTvT/g843PmbpnLy5++zCEO4YocW7ZtYcu2Lfxp1p/o1rkbo/uO5lv9v0W3lt0i6vdobSpyRazYt4InZz/JqjWrTlvXM6Unt4+9nW8P+LamDJMaFTZFqnPuAN78pMGwASgABgCvFy80s1i8gVCvl2q7FhhhZollBk8NKrW+svusc95Y/gYFrgCA6wZoVL+IVM2FTS/k54N/zp0D7mTppqXM+XgOi9cv5kjOEVyRI+3zNNI+T+OZWc/QbXg3RvUYxdfafY0BrQcQF13ehS4pbc/xPczdMZe3tr3Fvpx95J7yLusbxmU9L+On3/gpl3e/3OeUEqnCpkgNJudcppnNB24ys8dKTV11MxDP6Zfd38CbkP/HQPE8qXF4Z3lXOud2V2GfdUpRURHvpb4HQONWjbmi8xX+BhKRsBcTE8OI3iMY0XsEBQUFLFq/iDkr5rB0w1KOnjiKRRnppDMzbSYz02bSIKYBF2RfwBXdr2Bkz5F0adZFZ1kDMk9k8sbKN5j10SzSDqeR0DehZF3jNo0Z1XwUU8ZMoUe7Hj6mlLog4otUM3so8LRn4PFmMxsG4Jx7vFTTB4HlwGIzm453d6i7gfedc+8WN3LOrTSzWcBvAyPwtwG3AinAD8u8fIX2Wdek7Uxja/pWAEb2G0m9qHo+JxKRSBITE8OovqMY1XcUBQUFrNyykiU7lrAtdhurD66mwBWQdSyLpZ8uZemKpTwe9ThNWjShb5e+DO0xlCsvupILm11Yp4rW7Qe28+Ynb7Jw3UI27NhAYVFhybrCE4X0ateL71z4Ha7udDWN4xr7mFTqkogvUoHHynw/sdTzkiLVObfazEYBU/Em288C/grcX84+bwns92agKbAOuMY5t6R0o0rus86YtXwWRRSBwfjLxvsdR0QiWExMDEN7DmVoz6EAZOVlsXzfct5c/iYLYxaSU5CDK3JkpGewMH0hC5cv5PFor2i9pMsljL5sNH1a9aF7s+7ERld0gpnQ55xjY/pGXvngFZZuXMquA7vOaNOwfkNG9h3JbV+/jf4d+td+SKnzIr5Idc5V+E9h59wyYGgF2p0C7gl81cg+64qCggIWrF0AQMu2LRnUbtB5thARqTkJsQmMSRnDmJQx5Hw7hxVbVrBk4xJSt6aydf9Wr2gtdGQczGDp8aWsq7cOgNioWC5qfBHJuckM7jKY4V2H07JR2amsQ1dmTiYrPl/B/qj9bMzYyNpDa9mftZ9jy4/hCr6asbFxfGMG9xjM1/t+nWv6XUPD2IY+pg4fe/fupXPnzkyYMIEXX3yxZPn8+fMZO3bZP0rdAAAgAElEQVQsU6ZM4Y9//KOPCcNTxBepElrWbFnDjqM7ABgzYIymKRER3zRq2IiRfUcysu9IALKzs1m5ZSVLNy3l062fsi9qH/nkA5BXlEfq9lQWrVvEP/gHGDRp3ISOSR3p1KYT3dt1p0e7HnRt3ZW2iW2JMv9GuWflZLFxz0Y+2fEJa3asYfMXm9lzaA9FFJHYL5GYRO+j36KMes3r0cpacXmvy7m2/7UM6zbM1+zhKjk5mR/96EdMnz6dX//613Ts2JG0tDS++93vMnbsWJ566im/I4YlFalSq2Z/PBuHw6KN7w3+nt9xRERKxMfHM7L/SEb294rWwsJC0k+ms/bQWtakr2HRikVsYhMOBw6OHTvGsWPH+GzLZ7zFWwBExUbRclhLkuOTSY5PJikuiejD0XRs2ZHkpsm0iG9By4SWNI9vTlxsXIX7vRYWFnLq1CmO5RzjSPYRDmcdpmGzhpxwJ8jMzeSL41+w4L0F7D6wmyNZR7wuVeUoOF5A66TWXNziYga2Hsjl376cjo071swBrOPuv/9+XnjhBaZOncpjjz3GNddcQ0pKCjNnztTUXFWkIlVq1Za4LcS1iaNVfCv6JPXxO46IyFlFR0fTJr4NbeLbMLbTWB4Y9AD7D+/no60fkbojle37t/PlwS85cPQA+c474xrVIIr8onx2Hd/FruO7KDhewPHVx8/YdxRRNIhpQKP6jUhokEDvq3oTFR2Fc45CV8i2JdsoKioi51QOJ06d4ETuCU4VnDqt+Ezsn0hMwlcf45n7MynMLjztdWLjYunctjMXd7qY/p37M6zbMDo26xhSg8J+M3cjm/adeYz80KNtIr++tuf5G5YjOTmZ2267jRkzZrB69WpOnjzJ4sWLadSoUQ2nrDtUpEqt2Z+9n21F22jUrRHjLx4fUr8kRUQqok2LNoxrMY5xQ8aVLDuVe4rNezezee9mDucdJi8xj73Ze9mbvZdtGds4zpkFWBFF5BTkkJOdQ3p2Ohn7MkrWOefI2J1xxjZlle5LGm3RpHRMoWVMSzq37syFbS6kb8e+9OnQh5io0P6o37TvOCt3HvU7Ro34xS9+wbRp01i3bh1Lly4lObm8e/9IRYX2O1ciysLdC0ueX9XxKh+TiIjUnPpx9el7QV/6XtC33PUHMw+y7eA2DmQe4Gj2UY5kHyHjRAYZ2RkcO3GMrNwsGjRtgGFef1AHhzodIsqiiG8YT0KDBBIbJtIkvgmNGzamaXxTmjZsSttWbWnaqCmJsYkkNUwK29kHerRN9DtCiepmeeKJJwBvkHCzZs1qIlKdpiJVas2Huz8EoHWj1nRv1t3nNCIitSOpcRJJjZMqt9E3g5MlFFX18nqoefLJJ3nhhReYNm0a99xzD0888QQvvPCC37HCmnrySq3YtH0TC/69gBM7TjCs1TBd6hcRkYjx1ltv8ctf/pLHHnuMn/zkJ/z4xz/m5ZdfZufOnX5HC2sqUqVWzE2dS15OHqd2n2JEhxF+xxEREakRqamp3Hjjjdx44408+OCDANx7771ERUWVXP6XqlGRKrVi8WeLAUhskchlHS7zOY2IiEj17dmzh2uvvZa+ffsyY8aMkuVt27Zl4sSJOptaTSpSJej2HtjL5gObARjSawj1our5nEhERKT62rVrx759+1i2bBlxcXGnrXvuuefIy8ujU6dOPqULfypSJej+k/of8oryALh2wLU+pxEREZFwoCJVgm7+2vkAxCbEMqrLKJ/TiIiISDhQkSpBdSzzGJ998RkA/br3Iz423udEIiIiEg5UpEpQLVizgKz8LAC+0e8bPqcRERGRcKEiVYLqgw0fABBVP4prLr7G5zQiIiISLnTHKQmq/cn7SShMoFtiN1o1bOV3HBEREQkTKlIlaL44/gU7ju+gXpN6XNNXZ1FFRESk4nS5X4Lmwy8/LHk+or3uMiUiIiIVpyJVgqKgoIB5G+YB0D6hPZ2bdPY5kYiIiIQTFakSFBu3b+Sj9z7i2PJjDE4cjJn5HUlERETCiPqkSlDM/XQuDofLd4zpPsbvOCIiIhJmdCZVapxzjsXrFwPQLKkZA9oM8DmRiIiIhBsVqVLjdu3dxefpnwMw7OJhREdF+5xIREREwo2KVKlx81bPI9/lA/DNAd/0OY2IiIiEIxWpUuMWb/Qu9ddvXJ8rLrjC1ywiIiISnlSkSo06efIkG3ZtAKB3l940iGngcyIREZHguvrqq0lJSTljuXOOfv36MXz48NoPFQE0ul9q1Iq0FRzLOwbAiF6awF9ERCLfwIEDmTdvHhkZGTRt2rRk+auvvsqaNWtYtmyZj+nCl86kSo36dP+nRNWPwqKNsb3H+h1HREQk6AYM8GaxWbNmTcmy/Px8Hn74Ya699lqGDh3qV7SwpjOpUqN2xO6gyeAmtIhpQZemXfyOIyIioW7eL+HAer9TeFpfDGN/V+nNBg4cCMDq1au58sorAZg+fTo7d+7krbfeqtGIdYmKVKkxuYW5fHrgUwAu73S57jIlIiLnd2A9fBHel8Nbt25NcnJyyZnUnJwcHnvsMW666SZ69erlc7rwpSJVaszqg6s5VXgKgCFth/icRkREwkLri/1O8JVqZBk4cGBJkfr000+TkZHBo48+WlPJ6iQVqVJj3vzoTfIz8oltEsvgNoP9jiMiIuGgCpfXQ9HAgQP597//zZdffskf/vAH7rjjDjp27Oh3rLCmgVNSIwoKCvhg8QdkfZZF60OtaRzX2O9IIiIitWbAgAEUFRUxYcIEnHM8+OCDfkcKeypSpUas37Ge9Jx0AIb30HxwIiJStxSP8P/oo4+4++67admypc+Jwp8u90uNeO+z90qej+2jqadERKRuadasGSkpKeTk5HD33Xf7HSciqEiVGrF803IAEpsl0rdNX5/TiIiI1K4dO3awe/dunn76aeLj4/2OExF0uV+qLSs7i427NwIwoNsAoqOifU4kIiJSu+6//35SUlK4/fbb/Y4SMXQmVartww0flkw9deXFV/qcRkREpHYcO3aMefPmsWjRImbNmsW8efOIjY31O1bEUJEq1bZw/UIALNoY02uMz2lERERqx4IFC5gwYQLt2rXj+eefZ8wYfQbWJBWpUi3OOT5J+wSAju060jahrc+JREREasd1112Hc87vGBFLRapUy9ETR0lPTCcmP4ahPYf6HUdEREQihIpUqZbUQ6nUT6lP/ZT6fHvot/2OIyIiIhFCo/ulWpbv86aeqh9dn/5J/X1OIyIiIpFCRapUmXOOj/Z9BED/1v2Ji47zOZGIiIhEChWpUmUrtqxg26fbyE3PZXCrwX7HERERkQiiIlWq7D+f/oe8g3nkbM5hcBsVqSIiIlJzVKRKla1IWwFAy5Yt6daim89pREREJJKoSJUqOZJ5hK37tgIw6KJBmJnPiURERCSSqEiVKlm4YSEFrgCAkb1H+pxGREREIo2KVKmSZZuXAWBRxqjuo3xOIyIiIpFGRapUydrtawHokNyBZg2b+ZxGREREIo2KVKm0I8ePsPPgTgD6de7ncxoRERGJRCpSpdIWb1pMoSsEYHiP4T6nERERkUgU43cACT87C3fSsEtDCjILGNlDg6ZERESk5ulMqlTa+qz11G9Xnz5D+9CiUQu/44iIiPhq69atmFm5X02aNPE7XtjSmVSplFMFp1h3aB0AA1sP9DmNiIiI/xITE/n73/9+2rK0tDSeeOIJRo8e7VOq8KciVSpl3aF15BflAypSRUREAFq3bs1NN91U8v2OHTu47777GDZsGC+99JJ/wcKcilSplDmL5pC1Lot6TevRP6m/33FERCTMTV01lbSjaX7HAOCiZhdx36X3VWsfu3fv5sorryQ5OZl33nmHhg0b1lC6uieii1QzawP8DBgEDADigRHOuUXltF0EfK2c3bznnPt6mbZxwKPAzUBTYB3wkHPug3L2OwT4PdAPOA68DjzgnMuu8g/mo1WbVpF/NJ+k2CSa1df8qCIiUj1pR9P49OCnfseoEQcOHGDkyJE0btyYd999l8TERL8jhbWILlKBbsB9wOfAeuCy87TfA9xfZtm+ctq9BIwD/l9g398H/mNmI5xzy4obmVkfYAGwGfg50A74BXAhMLZyP4r/sk9ls33vdgD6dunrcxoREYkEFzW7yO8IJaqT5ciRI4waNYro6Gg++OADmjXTiZzqivQiNRVo7pw7ambjgFnnaZ/pnHvlXA3M7FLge8A9zrk/BJa9DGzAO2M6pFTz/wEygCucc8cDbXcBM8xstHPu/Sr8TL5ZtGkRBa4AgKEXDfU5jYiIRILqXl4PBZmZmYwePZqTJ0+yZMkSWrVq5XekiBDRU1A557Kcc0crs42ZxZhZ/DmajAMKgemlXucU8FfgMjNrH9hPInAV8EpxgRrwMpANXF+ZXKFg6ealJc9H9RrlYxIREZHQkJ2dzdixY0lPT2fBggUkJyf7HSliRPqZ1MrqCuQAsWZ2EJgBPOqcyy/Vpi+wtUzhCbAq8NgH2A1cjHd8T+to45zLM7O1gf2EldTPUwFIbpVMm8ZtfE4jIiLiv5tvvpmPP/6Yhx9+mGXLlrFsWUmvP3r16kWfPn18TBfeVKR+ZTvwIV7f1UZ4Z0wfwitcbyjVrg2wv5zti5e1LdWOc7Q95/1EzawV0LLM4s7n2iaYcnJz2LZnGwB9Ous/nIiIiHOO+fPnA/DYY4+dsf7Pf/6zitRqCJsi1cyigNgKNs91zrnK7N8598Myi/5uZtOB28zsj865FYHlDYDccnZxqtT60o9na9ugnOWlTQZ+fZ42tWbJ5iXkF3onlId0H3Ke1iIiIpHPzMjKyvI7RsQKpz6plwMnK/jVrYZe86nAY+kOmCeBuHLa1i+1vvTj2dqeLGd5ac8Bvcp8fes82wTNks1LSp6rP6qIiIgEW9icSQXSgB9UsG15l9irYnfgsfQ8EvuB8npFF1/e31eqXenlZduWN7VVCedcOpBeepmZnWuToNrXaB/xPeJJikqiXdN2vuUQERGRuiFsilTn3AG8+Ulr0wWBx0Ollq0FRphZYpnBU4NKrQdvSqoCvJsIvF7cyMxi8QZXvU6YyCvMY+PxjcS2iuWqrlf5HUdERETqgHC63B80ZpYYuItU6WWGN3AK4L1Sq94AooEfl2obh3eWd6VzbjeAcy4TmA/cZGYJpba/Ge/OV+ebszVkrD+8ntxCr2vtwNYDfU4jIiIidUHYnEmtKjMrLjR7Bh5vNrNhAM65xwPL+gEzzWwmsA1vUNN3gKHAdOfc6uL9OedWmtks4LeBEfjbgFuBFKDs4KsHgeXA4sAgrHbA3cD7zrl3a/QHDaJV+1eVPB/QeoCPSURERKSuiPgiFSg7J8TEUs+Li9QvgKV4hWlroAjvVqa3U2rS/lJuCez3ZqApsA64xjm3pHQj59xqMxsFTAX+CGThTfpf9tarIe1f//kXxw8cJyUlhRYNWvgdR0REROqAiC9SnXPnHW3knNtJJe4AFbjD1D2Br/O1XYZ3RjYs5RbksmXXFgryC7gg7oLzbyAiIiJSA9QnVc5p2dZl5OXnATDkIs2PKiIiIrVDRaqcU+n5Ua/seaWPSURERKQuUZEq57R6uzdmrEViCzq39u2urCIiIlLHqEiVsypyRaR9kQZAz5Se52ktIiIiUnNUpMpZrd+znhMnTgDQr3M/n9OIiIhEtl27dmFmvPTSSyXLHnnkEV/vOOknFalyVsu2Lit5PqSrBk2JiIhI7VGRKme16nNvEv/6MfUZ2EV3mhIREaltDz30ECdPnvQ7hi8ifp5UqbpDLQ6R0CeBPo37UC+mnt9xRERE6pyYmBhiYupmuaYzqVKuo6eOsjtnN/Wa1OOKvlf4HUdERCRkZWVlcdddd5GSkkJcXBytWrXiqquuYvVqb4acK664gl69epGamsqQIUNo0KABnTp14i9/+ct5911en1QzY8qUKbz11lv06tWLuLg4evbsybvvnnnH9b179zJx4kSSkpJK2r344otntHv22Wfp2bMnDRs2pGnTpgwYMIB//vOfVTwiNaNuluZyXp+lf1byvE+rPj4mERERCW233347b7zxBlOmTKFHjx4cOXKEZcuWsXnzZvr18wYeZ2RkcPXVV3P99dczfvx4Xn/9de644w5iY2OZOHHieV7hTMuWLWPOnDlMnjyZhIQEnnnmGa677jq+/PJLmjdvDsDBgwcZPHhwSVHbsmVL5s2bxw9/+EOOHz/OXXfdBcCMGTO48847GTduHD/72c84deoU69atY+XKlUyYMKHmDlQlqUiVcqUeSAUgyqLo3aK3z2lERERC1zvvvMNtt93GU089VbLs3nvvPa3Nvn37eOqpp/j5z38OwKRJkxg0aBD3338/N998M/XqVa5b3ebNm9m0aROdO3tzmI8YMYJLLrmEmTNnMmXKFAAefPBBCgsLWb9+fUnhevvttzN+/HgeeeQRJk2aRIMGDXjnnXfo2bMns2bNqvIxCAYVqVKu9+a/x7EvjnHhBRfSsF5Dv+OIiEgE27p1K1u2bDlnm+bNmzNkyFczzRw5coTly5efd9/XXnvtad/PnTu33HbdunWja9euFUh7piZNmrBy5Ur27dtH27Zty20TExPDpEmTSr6PjY1l0qRJ3HHHHaSmpjJ48OBKveaoUaNKClSA3r17k5iYyI4dOwBwzjF79myuv/56nHMcPny4pO2YMWN49dVXWb16NUOHDqVJkybs2bOHTz75hIEDQ2egtIpUOUN+YT7bdm+jKK+IDvU7+B1HREQiXFZWFvv376/UNrm5uZXeBjjrNmcrLivi97//Pbfeeivt27enf//+XH311dxyyy1ccMEFp+2/UaNGp21XXBTv2rWr0kVqhw5nfj43bdqUjIwMAA4dOsSxY8eYPn0606dPL3cf6enpANx3333Mnz+fSy+9lC5dujB69GgmTJjA0KFDK5WppqlIlTOk7k4l71QeAAO6DPA5jYiIRLqEhATatGlzzjbFl6uLxcXFnXeb8pxtm4SEhErvq9j111/P8OHDefPNN3n//fd58sknmTp1KnPmzGHs2LFV3u+5REdHl7vcOQdAUVERADfddBO33npruW179/a683Xv3p0tW7bw9ttv8+677zJ79myee+45fvWrX/Gb3/wmCOkrRkWqnGHZlq8m8R920TAfk4iISF3QtWvXSl9qb968+RmX8iuiKttURJs2bZg8eTKTJ08mPT2dfv368cQTT5QUqfv27SMnJ+e0s6lbt24FICUlpcbztGzZkoSEBAoLCxk1atR52zdq1IgbbriBG264gby8PP7rv/6LJ554gvvvv5/69evXeL6K0BRUcobU7d6gqcS4RHp26OlzGhERkdBVWFhIZmbmactatWpF27Ztyc3NLVlWUFDA888/X/J9Xl4ezz//PC1btqR///41nis6OprrrruO2bNns2HDhjPWHzp0qOT5kSNHTlsXGxtLjx49cM6Rn59f49kqSmdS5TTOOTbs9N7MF7a9sNKjDUVEROqSrKws2rVrx7hx47jkkkuIj49n/vz5fPLJJ6eN9m/bti1Tp05l165ddO3alddee421a9cyffr0oH3W/u53v+PDDz9k0KBB3HbbbfTo0YOjR4+yevVq5s+fz9GjRwEYPXo0rVu3ZujQoSQlJbF582amTZvGN77xjWp1g6guFalymt3Hd3P0iPemveSCS3xOIyIiEtoaNmzI5MmTef/995kzZw5FRUV06dKF5557jjvuuKOkXdOmTfnb3/7GT3/6U2bMmEFSUhLTpk3jtttuC1q2pKQkVq1axaOPPsqcOXN47rnnaN68OT179mTq1Kkl7SZNmsQ//vEPnn76abKzs2nXrh133nknDz30UNCyVYQVd7CV0GdmPYENGzZsoGfP4FyGf2XVK9z3v/cBMOOOGVx96dVBeR0REak7iqdFKj3avS654oorOHz4cLmX3cPZ+f5dN27cSK9evQB6Oec2Vnb/6pMqp1m5bSUA9aweg7oO8jmNiIiI1FW63C+nGdJvCEfijuCyHc2bND//BiIiIiJBoCJVTjP+ovGMv2g86gYiIiIiflKRKuUyM78jiIiIRIRFixb5HSEsqU+qiIiIiIQcFakiIiISdOpGFnmC/W+qIlVERESCKioqisLCQhWqEcQ5R2FhIVFRwSslVaSKiIhIUMXFxVFYWEh6eroK1QjgnCM9PZ3CwkLi4uKC9joaOCUiIiJBlZSURG5uLkePHiUzM5Po6GgN0A1TxWdQCwsLadCgAUlJSUF7LRWpIiIiElRRUVF06NCBgwcPkpubS1FRkd+RpIrMjNjYWOLi4khKSgrq5X4VqSIiIhJ0UVFRtGnTxu8YEkbUJ1VEREREQo6KVBEREREJOSpSRURERCTkqEgVERERkZCjIlVEREREQo6KVBEREREJOZqCKrzEAmzbts3vHCIiIiLnVKpeia3K9qbbk4UPM/sm8C+/c4iIiIhUwrecc/+u7EYqUsOImTUGvgbsBvJqYJed8YrebwHba2B/8hUd2+DRsQ0eHdvg0bENHh3b4KnusY0F2gOLnXOZld1Yl/vDSOAfuNJ/iZxNqfsmb3fObayp/YqObTDp2AaPjm3w6NgGj45t8NTQsV1T1dfXwCkRERERCTkqUkVEREQk5KhIFREREZGQoyK1bjsE/CbwKDVLxzZ4dGyDR8c2eHRsg0fHNnh8PbYa3S8iIiIiIUdnUkVEREQk5KhIFREREZGQoyJVREREREKOilQRERERCTkqUkVEREQk5KhIrUPMbKCZTTOzjWaWY2ZfmtnrZtbV72yRyMweNDNnZhv8zhIJzKyfmf3bzI6a2Qkz22Bmd/qdKxKY2YVm9qqZ7Qkc2zQz+5WZNfQ7W7gws3gz+42ZvRt4jzoz+/5Z2nYPtMsOtP27mbWs5chhoyLH1syizOz7gd8RuwOfcRvM7CEzq+9T9JBXmfdtqW3qmdmmQNtfBDNfTDB3LiHnPmAoMAtYB7QGpgCrzWywc07FVA0xs3bAA0CO31kigZmNBubi3QP6MSAb6Ay08zNXJDCz9sAqIBOYBhwFLsObG7E/8C3/0oWVFsCvgC+Bz4ArymsU+N2wBO94PwDEA78ALjazS51zebWSNrxU5Ng2BP4PWAH8BUjnq/fxSDO70mnOzfJU6H1bxk+BDkHMVEJFat3yNDCh9C9BM3sNWA/8ErjJr2AR6A94vyyj8X4JSBWZWSLwMvAOMM45V+RzpEhzM9AEGOac2xhYNt3MooBbzKypcy7Dv3hhYz/Qxjl3wMwGAJ+cpd0DQCOgv3PuSwAzWwV8AHwfmF4LWcNNRY5tHjDUObe81LIZZraLQKEKzA960vBT0fctAGbWCq+onQo8Guxwutxfhzjnlpf9K9059zmwEejuT6rIY2aXA+OAu/zOEiEmAEnAg865IjNrFCigpGYkBh4Pllm+HyjC+/CX83DO5TrnDlSg6XXA28UFamDb+cBW4Ppg5QtnFTm2zrm8MgVqsTcDj/qMK0cl3rfFfgdsAV4JUqTT6Bd9HWdmhlcAHPY7SyQws2jgWeAF59x6v/NEiFHAcSDZzLbgXeo/bmb/q75mNWJR4PGvZtbHzNqb2Q3AHcAzzjl1WakhZpYMtAI+LWf1KqBv7SaqE1oHHvUZV01mdilwK94JmFrpOqEiVW4EkoHX/A4SIW4HOgIP+x0kglyI1zXpX8B7eGeiXsQ71v/nY66I4Jx7F+/9ehVen98vgVeBZ51z/+1ntgjUJvC4v5x1+4FmZhZXi3nqgnvx/sid53eQcBY4ofUs8Jpz7uPael31Sa3DzOwi4M/Ax8DffI4T9sysOV4fncecc4f8zhNB4vEGRfzFOVc8mn+OmcUCk8zsV4FuK1J1u/AG88wGjgDfAB4wswPOuWl+BoswDQKPueWsO1WqTXnrpZLM7AG8KzGTnXPH/M4T5r4PXIzXla3WqEito8ysNd5AlEy8wSiFPkeKBI/jjYx+1u8gEeZk4HFmmeX/BCbhjeBVkVpFZvY9vME6XZ1zewKL5wT6/U41s5nOuSP+JYwoxe/l8s6W1i/TRqoh0GXlceCvzrn/9TtPOAsMXv0t8KRzbndtvrYu99dBZtYY79JHE+Drzrl9PkcKe2Z2IfBj4BmgrZmlmFkK3gdPvcD3zXyMGM6K359lB/akBx6b1mKWSDQZWFOqQC32b7wz2OonWXOKL/O3KWddG+Coc05nUavJzK7iqxlBbvc5TiT4BRALvFbqs614+r+mgWWxwXhhFal1TGCgyVygK3CNc26Tz5EiRTLe/6dngJ2lvgbhHeudeNN2SOWlBh6TyyxvG3hU14rqScKbKq2seoFHXXGrIc65vXjv1wHlrL4UWFu7iSKPmQ3CG9H/KXC9c67A50iRoAPeyYCNfPXZtjSw7oHA9z2C8cL65VOHBEaev4Z3efRbtdn5uQ7YAHynnOWPAwnAz4DttZoocryON4/vD4GFpZb/CCjgq9HpUjVbgdFm1tU5t7XU8vF4U1Ct8ydWxJoN3Gpm7YsvnZrZSLw/Zv/oa7IwZ2bd8c6e7sI7CaOuEzXjGeCtMstaAc8DL+ENat0ZjBdWkVq3PAV8E+9MajMzO23yfudcrcx7Fomcc4c58z8xZnZXYP0Z66RinHNrzOxFYKKZxQCL8e6K8l3gt+quUm1PAmOBpWY2DW/g1DWBZS/o+FacmU3B60ZVfJb/2sAdpsCbLSET+B+89+6HZvYnvIGB9+DdVEWzVZzF+Y4t3h9U7+Gd8XsS+IY3IL3Edp2YKV8F3rergdVltkkJPN0YzM83013C6g4zWwR87WzrnXN2tnVSNYFj3sI518vvLOHMzOrhXVb6Ad4v0i+APzvn/p+vwSJEYP7DR/D6nzbHOyvyN+D3ulxacYG7G3U8y+pOzrldgXY98e4AOAzvZgnvAHc758r2u5aA8x3bwOO5zub9zTn3/ZrMFAMPjW8AAAR7SURBVCkq+r4ts00K3vG+xzn3h6BlU5EqIiIiIqFGA6dEREREJOSoSBURERGRkKMiVURERERCjopUEREREQk5KlJFREREJOSoSBURERGRkKMiVURERERCjopUEREREQk5KlJFREREJOSoSBURERGRkKMiVURERERCjopUEZEIYmYvmZkLfG0IgTx3lcrjzKyF35lEJDyoSBURCQPm+ZWZDa9A88PAzcAvz7KvTmY2zcy2mtmJwNcmM/uzmfWu0eDwbiDLmzW8XxGJcDF+BxARkQrpCvwGSKtA2xzn3CvlrTCza4DXgALgH8BnQBFwEfBfwB1m1sk590VNhHbOpQFpZtYF+E5N7FNE6gYVqSIi4aF/4HF1VXdgZp2BV4EvgJHOuf1l1t8HTMYrWqvNzBo553JqYl8iUvfocr+ISIgzs1V4Zz0BPg/07TxWhV3dCzQCflC2QAVwzhU4555xzu0OvO6IwGudcQbUzCYE1l0W+P6RwPc9zOyfZpYBLKtCRhERQGdSRUTCwVTgESAOeDSwrCpF6jXANufcygq2XwTsBm7kzD6lNwLbnXMfl1k+C/gceACwKmQUEQFUpIqIhDzn3GwzexpYeLa+pudjZolAW+CtctY14fTPgxzn3EnnnDOzV4Cfm1lj51xmoH1LYDTwRDkv9ZlzbkJVMoqIlKbL/SIiIc7MGgMdgHXV2E1i4DG7nHWLgEOlvn5Sat3LeGdwx5VadgNeUVtewfyXamQUESmhIlVEJPQVTwtVnSI1K/AYX866ScBVwE1lVwRG53+Cd3m/2I3ACufctnL2tbMaGUVESuhyv4hI6CsuUj+r6g6cc5lmth/oVc66lQBmlnKWzV8G/mRm7fDOqg4Gppyl7cmqZhQRKU1nUkVEQl9vYL9z7nA19/MO0MXMLq3kdq8ChcB4vLOo+XhzrYqIBI2KVBGR0NcB2FMD+/k9cAJ40cySyllf7mj8QHE8D687wI3AuzVQMIuInJMu94uIhL6dwJVmdi+wD9jsnEut7E6cc5+b2QRgJrDFzIrvOGVAJ2AC3kT+5RXELwNvBJ4/XPkfQUSkclSkioiEvseBC/CKw3jgTqDSRSqAc+5fZnYxcDfeNFITAYd3F6p3gL8458rr+zoXyMC7Avfvqry2iEhlqEgVEQlxzrl9wNcrsUmUmbUACpxzZ0z675zbjnf708ooAgqAuc65U+Xs8xG8Gw6cxszq4xXWDSv5eiJSx6lPqohI5GmPN99pTd6W9NtAS7zL/pVxeyDLPTWYRUTqAHPO+Z1BRERqiJn1wLuzFEC2c25FNfc3CG92gYeBw865fpXcvj3QrdSixc65/OpkEpG6QUWqiIiclZm9hDeqfy3wfefcBn8TiUhdoSJVREREREKO+qSKiIiISMhRkSoiIiIiIUdFqoiIiIiEHBWpIiIiIhJyVKSKiIiISMhRkSoiIiIiIUdFqoiIiIiEHBWpIiIiIhJyVKSKiIiISMhRkSoiIiIiIUdFqoiIiIiEHBWpIiIiIhJyVKSKiIiISMj5/1ECbJhGsbL+AAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 720x480 with 1 Axes>"
]
},
"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_center_stars-V*(t-t[-1])[:,None], knots, k)\n",
"plot(t, X_center_stars-V*(t-t[-1])[:,None])\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": [
"<Figure size 720x480 with 1 Axes>"
]
},
"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": [],
"source": [
"output_file_name = file_name[:-4] + '_processed.dat'\n",
"with open(output_file_name, 'w') as f:\n",
" for i in range(len(snapshot)):\n",
" output_string = '%d %.8E %.8E %15.8E %15.8E %.8E %.8E %.8E %.8E %15.8E %15.8E %15.8E\\n' % (\n",
" snapshot[i],\n",
" t[i],\n",
" M_disk[i],\n",
" phi_inertia_fixed[i], theta_inertia[i],\n",
" a_mn[i], b_mn[i],\n",
" M_halo[i],\n",
" b_halo[i],\n",
" -acc[i,0], -acc[i,1], -acc[i,2]\n",
" )\n",
" f.write(output_string)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"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
}