{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Basics of `GoFish`\n", "\n", "This Notebook will walk through the very basic steps of how to load up data, set up the rotation profile and start extracting spectra.\n", "\n", "## Get the Data\n", "\n", "For this we will use the CS (3-2) emission in TW Hya, originally published in [Teague et al. (2018)](https://ui.adsabs.harvard.edu/abs/2018ApJ...864..133T). The emission is already clearly detected, but acts as a good starting point to learn how to use `GoFish`. You can download the data from [Harvard Dataverse](https://dataverse.harvard.edu/dataset.xhtml?persistentId=doi:10.7910/DVN/LO2QZM), making sure to place it in the directory where this notebook is, or automatically with the cell below." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import os\n", "if not os.path.exists('TWHya_CS_32.fits'):\n", " !wget -O TWHya_CS_32.fits -q https://dataverse.harvard.edu/api/access/datafile/:persistentId?persistentId=doi:10.7910/DVN/LO2QZM/KYZFUQ" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Load the Data\n", "\n", "Loading the data is as simple as firing up `GoFish` and passing it the path of the fits cube to `imagecube`." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "from gofish import imagecube\n", "import numpy as np" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "cube = imagecube('TWHya_CS_32.fits', FOV=10.0)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can use the `FOV` argument here to trim down your image cube to a field of view which may speed up calculations.\n", "\n", "## Coordinate System\n", "\n", "We can deproject from a pixel position, $(x_{\\rm pix},\\, y_{\\rm pix})$, to a disk-frame coordinate, $(r,\\,\\phi)$. These transforms are done through the `disk_coords` function which takes geometrical properties of the disk and returns the disk coordinates.\n", "\n", "### 2D Disks\n", "\n", "For TW Hya we know that `i=5.0` and `PA=152.0` (both in degrees), so we can return the $(r,\\,\\phi)$ values for each pixel. Note that in `GoFish`, position angle is defined as the angle between North and the _red-shifted_ disk major axis in an eastwards (anti-clockwise) direciton. We also assume the source is centered in the image such that `x0=0.0` and `y0=0.0`." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "rvals, tvals, _ = cube.disk_coords(x0=0.0, y0=0.0, inc=5.0, PA=152.0)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "im = ax.imshow(rvals, origin='lower', extent=cube.extent, vmin=0.0)\n", "cb = plt.colorbar(im, pad=0.02)\n", "ax.set_xlabel('Offset (arcsec)')\n", "ax.set_ylabel('Offset (arcsec)')\n", "cb.set_label('Midplane Radius (arcsec)', rotation=270, labelpad=13)" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "im = ax.imshow(tvals, origin='lower', extent=cube.extent)\n", "cb = plt.colorbar(im, pad=0.02)\n", "ax.set_xlabel('Offset (arcsec)')\n", "ax.set_ylabel('Offset (arcsec)')\n", "cb.set_label('Polar Angle (radians)', rotation=270, labelpad=13)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The polar angle, $\\theta$, in is radians, and runs from $-\\pi$ to $\\pi$ in an eastward direction with $\\theta = 0$ aligning with the red-shifted major axis of the disk. Note that this is _not_ the same as the position angle, particualrly when the disk is highly inclined.\n", "\n", "### 3D Disks\n", "\n", "You'll notice that when calling `disk_coords` we left space for three returned parameters. The third is $z$, the height above the midplane. By default, we assume that the disk is a razor-thin 2D disk. However, with the high spatial resolution afford by ALMA, it is now possible to resolve the vertical structure of the disk as well (see [Rosenfeld et al. 2013](https://ui.adsabs.harvard.edu/abs/2013ApJ...774...16R) for a nice demonstration of this for HD 163296).\n", "\n", "For this, we assume that the emission surface is described via,\n", "\n", "$$\n", "z(r) = z_0 \\times \\left( \\frac{r - r_{\\rm cavity}}{1^{\\prime\\prime}} \\right)^{\\psi} \\times \\exp \\left( -\\left[ \\frac{r - r_{\\rm cavity}}{r_{\\rm taper}}\\right]^{q_{\\rm taper}} \\right)\n", "$$\n", "\n", "where the second term acts as a 'correction' term in order to account for the drop in emission surface expected due to the drop in gas surface density at large radii. `r_cavity` can be used to describe an inner cavity, for example as in PDS 70.\n", "\n", "As an example, we can model a conical disk with $\\psi = 1$ (taking $\\psi > 1$ will give a flared emission surface). We increase the inclination to make the changes due to the height more noticable. Here we use the `plot_surface` function to have an idea of what the surface looks like." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Offset (arcsec)')" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = cube.plot_surface(inc=50.0, PA=152.0, z0=0.3, psi=1.0,\n", " r_max=4.5, fill='zvals', return_fig=True)\n", "\n", "ax = fig.axes[0]\n", "ax.set_xlabel('Offset (arcsec)')\n", "ax.set_ylabel('Offset (arcsec)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that in the above we've used the `fill` argument to fill the background color with `zvals`, the emission height.\n", "\n", "We can also assume the disk is tilted in the opposite direction by flipping the sign of the inclination." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Offset (arcsec)')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = cube.plot_surface(inc=-50.0, PA=152.0, z0=0.3, psi=1.0,\n", " r_max=4.5, fill='zvals', return_fig=True)\n", "\n", "ax = fig.axes[0]\n", "ax.set_xlabel('Offset (arcsec)')\n", "ax.set_ylabel('Offset (arcsec)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**Note:** To comply with standard orbital conventions, $i$ should vary only between 0$^{\\circ}$ and 180$^{\\circ}$. Thus you can include $i > 90^{\\circ}$, resulting in the correct orientation. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Offset (arcsec)')" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = cube.plot_surface(inc=130.0, PA=152.0, z0=0.3, psi=1.0,\n", " r_max=4.5, fill='zvals', return_fig=True)\n", "\n", "ax = fig.axes[0]\n", "ax.set_xlabel('Offset (arcsec)')\n", "ax.set_ylabel('Offset (arcsec)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Extracting a Spectrum\n", "\n", "With an idea of how to specify the coordinate systems, we can use this to help us extract spectra from various locations in the disk. This is made easy with the `get_spectrum` function - simply provide it the coordinates where you want the spectrum and voila!" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1840.0, 3840.0)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x, y, dy = cube.get_spectrum(coords=(1.5, -1.0), frame='sky', coord_type='cartesian')\n", "\n", "fig, ax = plt.subplots()\n", "ax.errorbar(x, y, dy, fmt=' ', capsize=1.25, capthick=1.25, color='k', lw=1.0)\n", "ax.step(x, y, where='mid', color='k', lw=1.0)\n", "ax.set_xlabel('Velocity (m/s)')\n", "ax.set_ylabel('Line Flux (Jy/beam)')\n", "ax.set_xlim(1.84e3, 3.84e3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In the above we've extracted a spectrum at an offset from the image center of $(1.5^{\\prime\\prime},\\, -1.0^{\\prime\\prime})$.\n", "\n", "By default this is just a single pixel, but we can average over a larger area with the `area` argument. This specifies the area you want to average over as a fraction of the beam area. For example we can average over an area twice the size of the beam with `area=2.0`." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1840.0, 3840.0)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x, y, dy = cube.get_spectrum(coords=(1.5, -1.0), frame='sky', coord_type='cartesian', area=2.0)\n", "\n", "fig, ax = plt.subplots()\n", "ax.errorbar(x, y, dy, fmt=' ', capsize=1.25, capthick=1.25, color='k', lw=1.0)\n", "ax.step(x, y, where='mid', color='k', lw=1.0)\n", "ax.set_xlabel('Velocity (m/s)')\n", "ax.set_ylabel('Line Flux (Jy/beam)')\n", "ax.set_xlim(1.84e3, 3.84e3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "While this does limit some of the noise, remember that you're averaging over an area where the line profile will probably change, particularly if there's large gradients in the source properties.\n", "\n", "Sometimes it's more useful to specify the location in the disk frame of reference, such as if you know where there's an interesting feature. We can do this by swapping `frame='disk'`. Again we can specify the coordinates in either cartesian, `coord_type='cartesian'`, or cylindrical frames, `coord_type='cylindrical'`, although disk-frame coordintes are more often than not specified in cylindrical form. Remember from above that `GoFish` assumes that $\\phi = 0$ is the red-shifted major axis and $\\phi$ will increase in a clockwise direction on the sky.\n", "\n", "Here we extract a spectrum at a $2^{\\prime\\prime}$ offset along the south-west minor axis." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1840.0, 3840.0)" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x, y, dy = cube.get_spectrum(coords=(2.0, np.pi / 2.0), frame='disk', coord_type='cylindrical')\n", "\n", "fig, ax = plt.subplots()\n", "ax.errorbar(x, y, dy, fmt=' ', capsize=1.25, capthick=1.25, color='k', lw=1.0)\n", "ax.step(x, y, where='mid', color='k', lw=1.0)\n", "ax.set_xlabel('Velocity (m/s)')\n", "ax.set_ylabel('Line Flux (Jy/beam)')\n", "ax.set_xlim(1.84e3, 3.84e3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Extracing a Disk Averaged Spectrum\n", "\n", "Now that we know how to deproject the data, we can use this to map a Keplerian velocity field onto the disk and calculated the projected line of sight velocity, $v_0$, given by,\n", "\n", "$$\n", "v_0(r,\\,\\phi) = \\sqrt{\\frac{GM_{\\rm star}r^2}{(r^2 + z^2)^{3/2}}} \\, \\cos (\\phi) \\, \\sin (i),\n", "$$\n", "\n", "where we are expected to know $M_{\\rm star}$ ($0.88~M_{\\rm sun}$ for TW Hya), and the distance to the source ($59.5~{\\rm pc}$).\n", "\n", "To apply this we use the `averaged_spectrum` function, which is provided the geometrical properties of the disk to calculate $v_0$, before applying these shifts to concentric annuli of the data before combining them, weighted by the area of each annulus. We must also tell it what radial range to consider through the `r_min` and `r_max` parameters, both given in arcseconds." ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "x, y, dy = cube.average_spectrum(r_min=0.0, r_max=1.0, inc=5.0,\n", " PA=152., mstar=0.88, dist=59.5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Plotting the data gives a nice spectrum:" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1840.0, 3840.0)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "ax.errorbar(x, y, dy, fmt=' ', capsize=1.25, capthick=1.25, color='k', lw=1.0)\n", "ax.step(x, y, where='mid', color='k', lw=1.0)\n", "ax.set_xlabel('Velocity (m/s)')\n", "ax.set_ylabel('Line Flux (Jy/beam)')\n", "ax.set_xlim(1.84e3, 3.84e3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note also that by default `dy` is the standard deviation of the samples in the velocity bin (calculated by calling for the standard deviation of the bin with `scipy.stats.binned_statistics`), rather than the uncertainty on the line flux. This is because the binned data is not strictly independent owing to both small spectral and spatial correlations in the data.\n", "\n", "When we do the spectral shifting, we actually decorrelate pixels that are close together. This is discussed in [Yen et al. (2016)](https://ui.adsabs.harvard.edu/abs/2016ApJ...832..204Y/abstract), where we essentially gain more independent samples. In `GoFish` this is implemented by default and uses an numerical approach, unlike the analytical discussed in Yen et al., to account for the beam shape and orientation. This can be ignored (slightly speeding up the calculation) by setting `include_spectral_decorrelation=False`, as below." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1840.0, 3840.0)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x, y, dy = cube.average_spectrum(r_min=0.0, r_max=1.0, inc=5.0,\n", " PA=152., mstar=0.88, dist=59.5,\n", " include_spectral_decorrelation=False)\n", "\n", "fig, ax = plt.subplots()\n", "ax.errorbar(x, y, dy, fmt=' ', capsize=1.25, capthick=1.25, color='k', lw=1.0)\n", "ax.step(x, y, where='mid', color='k', lw=1.0)\n", "ax.set_xlabel('Velocity (m/s)')\n", "ax.set_ylabel('Line Flux (Jy/beam)')\n", "ax.set_xlim(1.84e3, 3.84e3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This results in a slightly larger uncertainty, but this is most noticeable when only considering area which have a large velocity gradient (most of TW Hya is a bad example for this as it is close to face on!).\n", "\n", "We can also provide an empirical measure of the uncertainty by measuring the standard deviation in the spectrum wings. You can easily code up something which is more precise and can better define the line-free regions, but a quick work around would be to use the `empirical_uncertainty=True` option." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1840.0, 3840.0)" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x, y, dy = cube.average_spectrum(r_min=0.0, r_max=1.0, inc=5.0,\n", " PA=152., mstar=0.88, dist=59.5,\n", " empirical_uncertainty=True)\n", "\n", "fig, ax = plt.subplots()\n", "ax.errorbar(x, y, dy, fmt=' ', capsize=1.25, capthick=1.25, color='k', lw=1.0)\n", "ax.step(x, y, where='mid', color='k', lw=1.0)\n", "ax.set_xlabel('Velocity (m/s)')\n", "ax.set_ylabel('Line Flux (Jy/beam)')\n", "ax.set_xlim(1.84e3, 3.84e3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Because we end up sampling the line profile at a much higher rate thanks to the Doppler shift of the lines around the azimuth (see the discussion in [Teague et al. 2018](https://ui.adsabs.harvard.edu/abs/2018ApJ...868..113T/)), we can resample at a higher rate. This is done through the `resample` parameter. By default this is `resample=1`, so returns the velocity axis attached to the cube.\n", "\n", "If the argument is an `int`, then we super-sample by that factor, while if it is a `float`, then that is the channel spacing. For example:" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2540.0, 3140.0)" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "# Integeter\n", "x, y, dy = cube.average_spectrum(r_min=0.5, r_max=1.0, inc=5.0, PA=152.,\n", " mstar=0.88, dist=59.5, dr=0.1, resample=1)\n", "ax.errorbar(x, y, dy, fmt=' ', capsize=1.25, capthick=1.25, color='k', lw=1.0)\n", "ax.step(x, y, where='mid', color='k', lw=1.0, label='resample=1')\n", "\n", "# Float\n", "x, y, dy = cube.average_spectrum(r_min=0.5, r_max=1.0, inc=5.0, PA=152.,\n", " mstar=0.88, dist=59.5, dr=0.1, resample=4)\n", "ax.errorbar(x, y, dy, fmt=' ', capsize=1.25, capthick=1.25, color='r', lw=1.0)\n", "ax.step(x, y, where='mid', color='r', lw=1.0, label='resample=4')\n", "\n", "ax.legend(loc=1, markerfirst=False)\n", "ax.set_xlabel('Velocity (m/s)')\n", "ax.set_ylabel('Flux Density (Jy/beam)')\n", "ax.set_xlim(2.54e3, 3.14e3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Similarlaly, we can use down-sample the velocity axis if we want to improve the SNR of the detection." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(2340.0, 3340.0)" ] }, "execution_count": 18, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAjoAAAGvCAYAAABSC3+tAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAABW6UlEQVR4nO3deVxU9f4/8NcgskODIAg0oFxQUFGB3EC9GmKa0L0q+FPDLVGvlqnXrLRFUzSrW5pRWYlbLt8Kt9zNBcXMTHDDUNEgR0JcwJR9+/z+8M65jSDMwAwzjK/n4+FD+ZzP+Zz34TCct5/zOZ+PTAghQERERGSCzAwdABEREZG+MNEhIiIik8VEh4iIiEwWEx0iIiIyWUx0iIiIyGQx0SEiIiKTxUSHiIiITBYTHSIiIjJZ5oYOwNDkcjlKS0vh5uZm6FCIiIhIQzk5ObC0tMTdu3drrffYJzqlpaWoqKhQK1MqlQAAhUKhl2Pqu30ew7iOYQrnwGMYT/s8hnEdwxTOoake4+F796M89omOqifnt99+k8q8vb2rlemSvtvnMYzrGKZwDjyG8bTPYxjXMUzhHJrqMVTt1YVjdIiIiMhkyR73RT0bI4s1hmPSo/F6GA9eC+PBa2E8eC1qpun3hT06REREZLLYo8NMmYhIp6qqqlBWVmboMKiJa968OZo1a/bI7Zrevx/7wchERKQ7ZWVlyMzMRFVVlaFDIRMgl8vRqlUryGSyerfBRAcPXnljzw4RUcMIIZCTk4NmzZpBoVDAzIyjI6h+hBAoKirCzZs3AUBtrjvV/VqpVGr0qjoTHSIi0omKigoUFRXB3d0dNjY2hg6Hmjhra2sAwM2bN+Hi4lLrY6zaMNHBg8mL2JNDRNQwlZWVAAALCwsDR0KmQpUwl5eXS4mO6n7NeXSIiMggGjKeguivdPGzxESHiIiITBYTHSIionpISkqCTCbTeM2lhoqLi4OrqyvkcjkmTpyI4uLiR9Y9fvw4goKCYGNjgx49eiA1NbVRYjRGTHSIiIiMQEBAAKysrNT+HD9+HACwevVqLFu2DAkJCdi7dy9SUlIwe/bsGtvJy8tDREQEBg4ciJ9//hl9+vTB4MGDcf/+/cY8HaPBRIeIiIxOY/WSGIvKykpcunQJR44cwZkzZ6Q/gYGBAIClS5dizpw5iIiIQI8ePbBkyRKsW7cOpaWl1dpas2YNnnzySSxevBgBAQFYsmQJmjVrhh07djT2aRkFJjpE1CR5e3ur/Wmqx6AHsrKyIJPJsGnTJrRp0waffvop9u/fj06dOsHKygpdunTBzp07pfonTpxAt27dYGtri/bt22PTpk3StoyMDDzzzDOwt7eHk5MToqOjpflY1qxZg9atW2PFihVwdXVFy5YtsXbtWqxYsQLu7u5wcHDAnDlzpLZkMhkSEhLQo0cP2NvbY+DAgbh27VqN53Dz5k1ER0fDzs4Orq6uePXVVzWeITorKwtPPPEEunfvDj8/P+mPtbU18vPzkZaWhvDwcKl+aGgoCgsLcerUqWptJScno3///tLXZmZmCA0NxeHDhzWKxdQw0SGiJquyshL5+fnSa81N9Rj0P4sWLcJXX32Fnj17Yvjw4Xj55Zdx4sQJjBw5EsOGDUNKSgqEEBgyZIj0aGbGjBl4/vnnkZaWBgAYN24cnJyccPToUSQmJuLcuXN49dVXpWP88ccf2LVrF3bv3o0xY8Zg4sSJ+Oqrr5CYmIgVK1bgvffew/nz56X6b731FubOnYukpCRUVVVhyJAhqGn1pOHDh8Pa2hpHjx7FqlWrsHnzZrXj1iYjIwPW1tZ4+umn0bJlS3Tr1g379u0DAFy7dg1CCHh5eUn1bW1t4eDggNzc3GptZWVlqdUFAHd39xrrPg44jw4RGZWMjAyNxhIkJiYiPT0dMTExiI+P18tgy/oew97eHr6+vjqP53GwaNEi9O/fH7GxsZg0aRJiY2MBAF26dMFPP/2ETZs2wdvbGzdu3EBQUBA6duyIjh07wsHBQZpzZcCAAZg8eTJatWoFABg4cKDatSsvL0dCQgJcXFxgbW2Njz76CO+99x5CQkIQEhKCmTNn4uLFiwgICAAATJ8+Hc899xwAICEhAZ6entV6Uo4dO4ZLly7h4MGD0nwv5eXliI2NxbJlyzBgwAAcPXq0xnP+6quvcPfuXeTl5WHMmDEICAhAYmIiBg8ejGPHjklJtmoCPRU7OzsUFBRUa6+goEDjuo9SVFSEixcvalxfV/z8/HQ+2SQTHSIyGhkZGWjbtq3W+8XExOghmoYd4/Lly0x26qF9+/YAgLNnz+LMmTNYvny5tK2iogJDhw6Fo6MjXnzxRURFRSEkJARhYWEYOXKk9HjxpZdewsaNG3Hu3Dn89ttvOHHihDTWBQCcnJzg4uIC4H+TG/710WTz5s3Vxr489dRT0r8VCgVcXV1x9epVKZFSxZubmwtbW1upTAiBsrIyFBUVYeXKlSgqKqrxnN3c3CCEwKhRo+Dk5AQACA4OxtmzZ7FixQrMmjULAFBcXKw2GWNJSQkcHR2rtefg4FDtjaxH1X2UixcvIjg4WOP6upKSkoKgoCCdtmnQRCcnJwexsbE4cuQIWrVqhQULFmDUqFE11o2Li8Mnn3yC0tJSREdHY/ny5dUyVuDB/wY+//xzXL9+Xd/hE5GOqXpy1q9fD39//1rrRkZGoqqqCgUFBbCzs8OuXbt0Hk99jqHqAXpc33BpKNUEcWVlZZg9ezbGjBmjtt3e3h4AEB8fjxkzZkiPoBYuXIjdu3eja9eu6NKlCwIDAzFkyBCMHTsWe/fuRVJSktSGlZVVtePWti7XwzM9FxcXV5vIrqysDO3atcPWrVur7W9lZQVPT8/aT7wGHTt2xPnz56V1nrKzs/HEE08AeJC43Llzp8Z23dzckJ2drVaWnZ2tVQx+fn5ISUnROuaG8vPz03mbBk10RowYAVtbWyQnJyMtLQ0TJkyAj48PunXrplZP9VrdmjVr4OzsjKlTp2L27NmIj49Xq5eeno6FCxfC2dm5MU+DiHTM39+/zv/VPfyLXB8a4xhUMz8/P+Tk5Kjd+GJjY9GvXz907twZH330EVatWoXp06dj+vTpGDhwIHbu3InCwkLcvXsX27dvl5KRhISEBsVy/vx59O7dG8CD+8y9e/fQvn173LlzRy3e69evQ6FQSL06mzdvxpYtW7BhwwaEhYXhyJEjNbavGs/TpUsXvPPOO1J5SkoKOnfuDGdnZ3Tq1AmHDx+WerySkpKk8oeFhYVh48aN0tcVFRU4evQovvjiC43P2cbGRuc9K4ZisEQnNTUVx48fx/Xr1+Hq6orAwEDs2bMHK1eurJbo/PW1OgBYsmQJoqKi8OGHH8LS0hIAUFVVhdjYWHTv3h1Xr15t9PMhIiLdmTlzJvr27YsePXqgW7duSExMxDfffIO33noLNjY2+Oabb+Dh4YGoqChkZWXhl19+wciRI+Hh4YHCwkKsXbsWgYGB2Lp1K7Zt2wYPDw/cunWrXrEsXrwYbdq0gVwux4wZM9CjRw8EBASo9RINGDAAXl5emDBhAl555RVcu3YNL774ojQYefXq1bU+urp//z5ef/11tG7dGl26dEFiYiKOHTuGL7/8EgAwadIkLFiwAD4+PpDJZJg8eTKmTZsmJXO///477O3t0aJFC4wcORLz5s3D/PnzERkZiaVLl8LOzg7PPPNMvc6/yRMGsmzZMhEYGKhW9tlnnwkfHx+1sry8PCGTycTZs2elsoKCAmFmZiaOHTsmlX388ceiX79+YvXq1cLDw0PjONq0aSPatGlTz7MgIl1KSUkRAERKSoqhQ6k3UziH+iouLha//vqrKC4u1nrfzMxMAUBkZGRIZRs2bBDe3t7CyspKdO3aVRw5ckTatnPnThEQECCsra2FQqEQ8+bNE1VVVUIIIeLi4oSTk5NwcnIS06dPFydOnBByuVwsWbKk2j0iIyNDABCZmZlSmYeHh/j666+FEEIAEIsXLxYdOnQQtra2IiIiQmRnZwshhDh8+LAAIMrLy4UQQly9elWEh4cLS0tL8eSTT4oFCxaIyspKjc6/qqpKLF68WHh6egpLS0sRGBgo9uzZI22vrKwUb7zxhmjRooVwdHQUM2fOFBUVFdJ2Ly8vMW/ePOnrQ4cOiQ4dOggrKyvRp08fcfnyZY3iMDa1/Uxpev+WCVHDO3KNYObMmcjKylJ7nrl9+3aMHj0a9+7dk8rOnj2LLl264O7du9KzSQBwdHREQkIChg4dit9//x1PPfUUjh8/jh9//BFvvvmmxmN0vL29oVQqoVAo1Mq5mjlR40tNTUVwcLBeBiQ2FlM4h/oqKSlBZmYm2rRpU+M4mKZIJpPhhx9+UJuXhhrPX3+mVI/tVFT37rru1wabR+dRr78VFhZWqwfU/lrdpEmT8O9//5tvOBAREZEag43RcXBwwO3bt9XKSkpKIJfLq9UDHv1a3bp163Djxo1HrvmhCU0yQiIiIjKch+/Tms5WbrBEx83NDcnJyWplNb3+VtdrdZs3b8aFCxdgZ2cH4MEsphUVFbCyssJ3332HyMjIRjgbIiIyRQYa3UE6ZLBHV2FhYTh79izy8vKkskOHDlV7DvrX1+pU/vpa3bvvvou0tDRpAbQFCxbA1dUVZ86cQb9+/RrtfIiIiMj4GKxHJzAwEJ07d8b48eMxf/587N+/H9u2bUNaWhqKi4uRnZ2N1q1bw9zcvNbX6tzc3KReH+BBD5C5ubleJh0iIiKipsWgEwZu3rwZ48ePR0hICLy8vLBlyxb4+PggKSkJ/fr1Q2ZmJlq3bo0pU6YgJycHo0aNghAC48aNw9y5cw0ZOhERETUBBk10FAoFDhw4UK28b9++as9FzczMEBcXh7i4uDrbHDduHMaNG6fLMImIiKiJMtgYHSIiIiJ9Y6JDREREJouJDhERUQ2SkpIgk8lQUVGhk/ZOnjyJHj16wNraGu7u7li4cKHa9pUrV8LT0xN2dnYYNmyY2qKhBQUFGDVqFBwcHPDkk09i6dKltR6rtrYeN0x0iIiI9OzPP//E4MGD0alTJ/z888/SuNP/+7//A/BgepWXX34Z7777Lo4ePYqCggKMHTtW2v/FF1/ElStX8MMPP+Dzzz/HggULkJiYWOOx6mrrcWPQwchERPR4qqiogLn543ML2r17N4QQ+Oyzz2Bubo5OnTohKSkJK1euxIgRI7Bs2TJMmDABzz//PADgk08+gZ+fH7Kzs2FhYYENGzbg559/RnBwMABgypQp+PLLLxEVFVXtWLW15eHh0XgnbSTYo0NERHqXlZUFmUyGTZs2oU2bNvj000+xf/9+dOrUCVZWVujSpQt27twp1T9x4gS6desGW1tbtG/fHps2bZK2ZWRk4JlnnoG9vT2cnJwQHR2NmzdvAgDWrFmD1q1bY8WKFXB1dUXLli2xdu1arFixAu7u7nBwcMCcOXOktmQyGRISEtCjRw/Y29tj4MCBuHbtWo3ncPPmTURHR8POzg6urq549dVXUVZWptH537lzB6GhoWrJnbOzM27cuAEhBI4dO4bw8HBpW9u2beHi4oKkpCQcP34cDg4OUpIDAL1790ZSUlK1mZvrautxxESHiIgazaJFi/DVV1+hZ8+eGD58OF5++WWcOHECI0eOxLBhw5CSkgIhBIYMGYKBAwfi559/xowZM/D8888jLS0NwINpRJycnHD06FEkJibi3LlzePXVV6Vj/PHHH9i1axd2796NMWPGYOLEifjqq6+QmJiIFStW4L333sP58+el+m+99Rbmzp2LpKQkVFVVYciQITUu/TB8+HBYW1vj6NGjWLVqFTZv3qx23Nq89NJL2L59u/T1vXv3sGXLFnTu3Bn37t1Dfn4+vLy81PZxc3NDbm4usrKyqm1zd3dHeXk58vPz1crrautx9Pj0G9ZCqVRKi4NxcU8iIv1ZtGgR+vfvj9jYWEyaNAmxsbEAgC5duuCnn37Cpk2b4O3tjRs3biAoKAgdO3ZEx44d4eDgABsbGwDAgAEDMHnyZLRq1QoAMHDgQKSmpkrHKC8vR0JCAlxcXGBtbY2PPvoI7733HkJCQhASEoKZM2fi4sWLCAgIAABMnz4dzz33HAAgISEBnp6eOHXqlFrcx44dw6VLl3Dw4EE0a9ZMOk5sbCyWLVuGAQMG4OjRozWe81dffYXRo0dLX1+4cAEjRoxAfn4+5s+fj4KCAgCAtbW12n52dnYoKChAs2bNatwGPBik3KJFC6m8rrY0VlQEXLyoeX1d8fMD/nudH0V1v1YqlVAoFHU2yUSHiIgaTfv27QEAZ8+exZkzZ7B8+XJpW0VFBYYOHQpHR0e8+OKLiIqKQkhICMLCwjBy5EjpBvfSSy9h48aNOHfuHH777TecOHECgYGBUjtOTk5wcXEBAFhYWABQX+m6efPmKC0tlb5+6qmnpH8rFAq4urri6tWrUiKlijc3Nxe2trZSmRACZWVlKCoqwsqVK1FUVFTjOf91maIPPvgAb775Jry8vJCUlARfX1/cv38fAFBcXKy2X0lJCRwdHR+5DYC0XcXBwaHOtjRy8SLwl0dljSYlBQgK0mmTTHTw4AebPTlERPonk8kAAGVlZZg9ezbGjBmjtt3e3h4AEB8fjxkzZkiPoBYuXIjdu3eja9eu6NKlCwIDAzFkyBCMHTsWe/fuVRt/YmVlVe24ZmaPHqmhSoZUiouLpThVysrK0K5dO2zdurXa/lZWVvD09Kz9xAFMnjwZK1euxMyZM7FgwQKph8re3h62trbIzs5G586dpfrZ2dnw9PREeXk5srOz1drKzs6GXC6Xvl8qdbWlMT+/B0lHY9NgnUrV/fqvyWttmOgQEVGj8/PzQ05OjtoCzLGxsejXrx86d+6Mjz76CKtWrcL06dMxffp0DBw4EDt37kRhYSHu3r2L7du3S8lIQkJCg2I5f/48evfuDQBIT0/HvXv30L59e7W5Z/z8/HD9+nUoFAqpV2fz5s3YsmULNmzYgLCwMBw5cqTG9letWgV3d3d8+eWXWLt2bbXkDgDCwsJw+PBhPPvsswCAixcv4ubNm+jbty/Ky8uRl5eHCxcuoEOHDgAevELev3//Go9XW1sas7HRec+KoTDRISKiRjdz5kz07dsXPXr0QLdu3ZCYmIhvvvkGb731FmxsbPDNN9/Aw8MDUVFRyMrKwi+//IKRI0fCw8MDhYWFWLt2LQIDA7F161Zs27YNHh4euHXrVr1iWbx4Mdq0aQO5XI4ZM2agR48eCAgIUOslGjBgALy8vDBhwgS88soruHbtGl588UVpMPLq1atrfXQ1d+5cdO7cGSEhIbhy5Yq0rXnz5vDy8sKkSZMwfPhwdO3aFW5ubnj55ZcxduxYPPHEEwCAIUOGYOLEifj4449x7tw5LFu2DPv37wfw4JFfVlYWPDw8YG1tXWdbjx3xmGvTpo1o06aNocMgIiFESkqKACBSUlIMHUq9mcI51FdxcbH49ddfRXFxcbVtmZmZAoDIyMiQyjZs2CC8vb2FlZWV6Nq1qzhy5Ii0befOnSIgIEBYW1sLhUIh5s2bJ6qqqoQQQsTFxQknJyfh5OQkpk+fLk6cOCHkcrlYsmSJWL16tfDw8JDaycjIEABEZmamVObh4SG+/vprIYQQAMTixYtFhw4dhK2trYiIiBDZ2dlCCCEOHz4sAIjy8nIhhBBXr14V4eHhwtLSUjz55JNiwYIForKyUqPvzaBBgwSAan+8vLykOsuXLxdubm7C3t5ejB49WhQWFkrb8vLyRFRUlLCxsRGenp5i9erV1b63hw8f1qitpqS2nylN798yIWp4h+4xwretiIxHamoqgoODkZKSgqAm2m1uCudQXyUlJcjMzESbNm1qHCdjjGQyGX744YdHPgYiw6rtZ0rT+zfn0SEiIiKTxUSHiIiITBYHIxMR0WPrMR+98Vhgjw4RERGZLCY6REREZLKY6BARkU7xcRDpii5+lpjoEBGRTqgWuywrKzNwJGQqVJMwNm/evN5tcDAyERHphLm5OWxsbHDr1i00b9681vWliGojhEBRURFu3rwJuVwuJdH1wUSHiIh0QiaTwc3NDZmZmfj9998NHQ6ZALlcrraKfH0w0QGgVCo5QzIRkQ5YWFjA19eXj6+owZo3b15jT47qfq1UKqFQKOpsh4kOERHplJmZWZNZAoJMHxMdAAqFgj05RERETYDqfq3q2akLEx0i0rmHfwHxPxJEZCgcEk9EelFZWYn8/HxUVlYaOhQieoyxR4eINJaRkYH79+/XWS8xMRHp6emIiYlBfHw8UlNTNWo/PT29oSE2Oez9ItIvJjpEpJGMjAy0bdtW6/1iYmK03sfe3l7rfYyNpklbaWkpqqqqUFBQADs7O42TQnt7e/j6+jYkRKLHAhMdItKIqidn/fr18Pf3r7VuZGSk2s17165dGh+nqd/AVUlafRK8goICBAcHa1z/8uXLTfp7RdQYmOgQkVb8/f0RFBRUa53s7OxGisb4+Pr64vLlyxo94gPqlxSqHgtqegyixxkTHSIiHdOml+VxTgqJGgPfuiIiIiKTxUSHiIiITBYTHSIiIjJZTHSIiIjIZDHRISIiIpPFRIeIiIhMFl8vB6BUKqVp2Dn9OhERkfFS3a+VSiUUCkWd9dmjQ0RERCaLPToAFAoFe3KIiIiaANX9+uEFcR+FPTpERERkspjoEBERkcliokNEREQmi4kOERERmSwmOkRERGSymOgQERGRyWKiQ0RERCaLiQ4RERGZLE4YSES69/BEXpyQk4gMhIkOkbHKyADu3zd0FBLr9HQE/vfvOpWWAlVVQEEBYGcHpKbqPT69srcHfH0NHQUR1QMTHSJjlJEBtG1r6CjU+ANIBYCYGO12LCgAgoP1EFEju3yZyQ5RE8REh8gYqXpy1q8H/P0NG8t/paen4/mYGGxYvx7+dcUUGQmUlwO3bgEtWwJ79zZOkPqQnv4guTOi3jUi0hwTHSJj5u8PBAUZOgoAQDGA0wCKNYnJ0hIwNwfkcsDa2mjOgYgeP0x0ACiVSmkVVK5iTqQD/BwRkZ6o7tdKpRIKhaLO+ny9nIiIiEwWe3QAKBQK9uQQERE1Aar7tffD01g8Ant0iIiIyGQx0SEiIiKTxUSHiIiITBYTHSIiIjJZTHSIiIjIZDHRISIiIpPFRIeIiIhMFhMdIiIiMllMdIiIiMhkGTTRycnJweDBg2FnZwcfHx9s3LjxkXXj4uLg6uoKuVyOiRMnori4WNqWnp6OXr16wcbGBm3atMHixYshhGiMUyAiIiIjZtBEZ8SIERBCIDk5GfPmzcOECRNw8uTJavVWr16NZcuWISEhAXv37kVKSgpmz54NAKiqqsKQIUPQqlUr/Pjjj1i0aBHi4uKwevXqxj4dIiIiMjIGW+sqNTUVx48fx/Xr1+Hq6orAwEDs2bMHK1euRLdu3dTqLl26FHPmzEFERAQAYMmSJYiKisKHH36IM2fO4MqVK/jpp5/g6OiIwMBAJCUlYdeuXXjhhRcMcWpERERkJAzWo5OcnIyAgAC4urpKZb1798bhw4fV6uXn5yMtLQ3h4eFSWWhoKAoLC3Hq1CkUFBQgPDwcjo6O0vbmzZujpKRE/ydBRERERs1gPTpZWVnw8vJSK3N3d0dubq5a2bVr1yCEUKtra2sLBwcH5ObmYujQoQgLC5O2paWl4bvvvsOCBQs0jkWpVFZbBZWrmRMRERmPh+/TSqUSCoWizv0MlugUFBTA2tparczOzg6FhYXV6gGosa5qm4qjoyPu3r2Ldu3aYdiwYXqImoiIiJoSgyU6Dg4OuH37tlpZSUkJ5HJ5tXoAUFxcDAsLC7W6f31cBQDHjx/Hb7/9hnnz5iEiIgI///yzRrEoFAr24BARERmxh+/TD/fwPIrBEh03NzckJyerlWVnZ8PT07NaPdW2J554AsCDJOfOnTvw9PTEmTNnUFJSgh49esDf3x/+/v5wdnZGjx49cOPGDbRq1apxToiIiIiMjsEGI4eFheHs2bPIy8uTyg4dOoT+/fur1XN2dkanTp3UBiknJSVJ5du2bcP48ePV9ikrK4O5uXm1Hh8iIiJ6vBisRycwMBCdO3fG+PHjMX/+fOzfvx/btm1DWloaiouLkZ2djdatW8Pc3ByTJk3CggUL4OPjA5lMhsmTJ2PatGmQyWT4f//v/yEuLg6vvPIKRo0ahVu3bmHWrFmIiYmBpaWloU6PiIiIjIDBEh0A2Lx5M8aPH4+QkBB4eXlhy5Yt8PHxQVJSEvr164fMzEy0bt0aU6ZMQU5ODkaNGgUhBMaNG4e5c+cCAPz9/fH999/jjTfewOeffw4XFxdERUXhnXfeMeSpERERkREwaKKjUChw4MCBauV9+/ZVW8LBzMwMcXFxiIuLq7GdZ599Fs8++6ze4iQiIqKmiYt6EhERkcliokNEREQmi4kOERERmSwmOkRERGSymOgQERGRyWKiQ0RERCZL69fL7969iyNHjiAlJQU3b96EmZmZNEvx008/jRYtWugjTiIiIiKtadyjc+HCBQwdOhQuLi6YNWsWfv75Z/z555/Iz8/HqVOn8MYbb6BVq1YYMmQITp8+rc+YdU6pVMLb21vjBcKIiIjIMFT3a6VSqVF9jXp0/vWvfyE1NRUTJkzAF198gZYtW9ZY7+7du9i8eTMmTZoEPz8/fP3115pHTkRERKRjGiU6UVFRWLFiRZ315HI5JkyYgAkTJiApKamhsTUahUJRbfl3IiIiMj6q+7WmT2E0SnQeXlEcAO7cuYPS0tJq5e7u7gAeLONAREREZEhaD0bevHkzpk6ditu3b6uVCyEgk8lQWVmps+CIiIiIGkLrRGf69OmIiYnBxIkT0bx5c33ERER69HB3Lx/bEpEp0zrRuXfvHsaOHQs/Pz99xENE9ZSRkYH79+/XWa+0tBRVVVUoKCiAnZ0dUlNTNWo/PT29oSESETU6rROdmJgYfPjhh/jyyy9haWmpj5iISEsZGRlo27at1vsVFBQgODhYq33s7e21Pg4RkaFoneiMGzcOvXv3xjfffINWrVrBzEx9Kh52gxM1PlVPzvr16+Hv719r3cjISJSXl+PWrVto2bIl9u7dq/Fx7O3t4evr26BYiYgak9aJztixY9GrVy9ERUXBwsJCHzERUT35+/sjKCio1jqWlpYwNzeHXC6HtbV1nfWJiJoyrROd69evY9OmTejSpYsewiEifWOvKxE9Tuo1RmfLli1MdIiImgC+ZUePO60TnYKCAqxevRpbt26Fv78/rKys1LavW7dOZ8EREVHDVVZW4t69e3BwcDB0KESNTutEx9zcHCNHjtRHLEREpAVNXvlPTExEeno6YmJiEB8fr/F0AgAHn5Np0DrRWb16dY3lRUVFOH/+fIMDIiKi2qle8Y+Jiamz7lUAPf/7N2Ji8Dctj3X58mUmO9SkaZ3oCCHw9ddf4+rVqxBCSOV//PEHNm3ahMLCQp0GSERkFIxowkRfAL9v3arR71vrMWNgJgSshUCxTIZfv/5ao2NkZmbizbfeQsXJk4AGE1E2Gnt7gIkXaUHrRGfOnDlYvnw52rZtiwsXLqBXr164du0a7ty5g/j4eH3EqHdKpVIasMeBekSkRjVBoga9J43Jsx77OAgBVw3Pwx/As4DRnTcA4PJlJjuPMdX9WqlUQqFQ1Flf60Rnw4YNWLNmDYYPH44ePXogPj4e7du3x8iRI1FWVqZ9xERExszX98GN1Zh6NbQRGQlUVQEFBYCdHbBrl0a7paen4/mYGGzQYBLKRpOe/iDxaqrXggxC60Tnzp076NixIwCgbdu2SEtLQ4cOHTB9+nSMHj0akydP1nmQ+qZQKNiTQ0SP1pR7D7Kz67VbMYDTAIr9/QFOKklGRHW/fnjqhEcxq7uKOn9/f2nK+Hbt2uHEiRMAgLKyMty8eVPb5oiIiIj0RusenUWLFmHYsGEoKipCdHQ0AgMDceXKFaSkpCAiIkIfMRIRERHVi9aJzsCBA3Hjxg0UFhaiVatWOHDgAL799lv06dMH06ZN00eMRERERPWidaIDPJjDQalU4syZM+jTpw/at28PuVyu49CIiIiIGkbrMTo5OTkIDg5GQEAAIiIicP36dTz33HMYMmQI7t27p48YiYiIiOpF60RnxowZaNWqFW7duoXmzZsDANasWYMbN25g+vTpOg+QiIiIqL60fnS1e/du7N+/Hy1atJDKvL298f7772PIkCE6DY6IiIioIbTu0bGxsUFFRUW1ciFEjeVEREREhqJ1ojN+/Hi88soruHjxImQyGQoKCpCcnIxp06ZhxIgR+oiRiIiIqF60TnQWL16MQYMGoWvXrigpKcFTTz2Fp59+GqGhoVi6dKk+YiQiIiKqF63H6JiZmWH+/PmYM2cOrl69irKyMvj4+MDOzk4f8RERERHVW73m0UlNTUVCQgIyMzNhY2ODTp06YdKkSWjVqpWu4yMiIiKqN60fXf3f//0funbtil9//RUdO3aEQqHAvn378Le//U1aA4uIiIjIGGjdo/POO+8gLi4Oc+bMUStfsGABpk+fjkuXLuksuMaiVCqlVVC5ijkREZHxUt2vlUolFApFnfW17tG5fv06Bg0aVK18yJAhuH79urbNEREREemN1j060dHRWLduHbp06aJW/t133zXZ1csVCgV7coiIiJoA1f1a1bNTF40SndGjR0MmkwEAiouLsXbtWhw5cgTBwcEwMzPDqVOncP78eYwePbqeYRMRERHpnkaJjrn5/6rZ2dlhzJgxAIDy8nIAQEBAAAICAlBVVaWHEImIiIjqR6NE58KFCxg8eDAGDRqEbt266TsmIiIiIp3QaDDyRx99hLKyMkyePBmurq4YPXo0Nm3ahLy8PH3HR0RERFRvGiU6vXr1wqJFi3D69GmcPn0a/fr1w5YtW+Dr64uQkBAsXLgQKSkp+o6ViIiISCtav17u7u6OF154Ad999x1u3ryJJUuWoLCwEC+88AJnRiYiIiKjonWis2PHDmkQcrNmzdCnTx8sWbIEZ8+eZa8OERERGRWtE53o6Gi4uLhg3Lhx2LVrl5T0AICHh4dOgyMiIiJqCK0Tndu3b+OLL75ARUUFxowZAxcXF4wdOxZ79+7l6+VERERkVLROdOzs7DB8+HCsX78eN2/exJYtWyCXyxEdHQ13d3fMmjWrSa53RURERKZH60RHpby8HD/88AO+/fZbJCYmQiaTISwsDLm5uQgODsY777yjyziJiIiItKb1Wldff/01vv/+e+zbtw8AEBERgU8//RSDBg2CpaUlAODgwYMYNmwY5s2bp9toiYiIiLSgdaIzdepUREREYO3atRg0aBCsrKyq1WnXrh1ee+01nQRIREREVF9aJzq3bt2qMbn5qyeffBJz5sypd1CNTalUSqugchVzIiIi46W6XyuVSigUijrra5To9O7dW1q9/GHNmjWDk5MTnnnmGcTGxj6yHhEREVFj0yjR6d+//yO3VVRU4ObNm9LbVv/5z390FlxjUSgU7MkhIiJqAlT3a1XPTl00SnQ0GVTcs2dPvPrqq00y0SEiIiLTVO/Xyx/m4uKC0tJSXTVHRERE1GBaD0Z+2J49e5Ceno4VK1YgPDxcFzERERER6USDE51169bh7NmzCAkJwfvvv6+LmIiIiIh0QqNE58qVK/Dx8alx26ZNm2osv3jxIvz8/OofGREREVEDaTRGZ/LkyRg2bBgOHz5ca72qqirs3r0bkZGRmD17tk4CJCIiIqovjXp0Dh48iG3btuHf//43rl27huDgYHh7e0Mul6Oqqgr5+fm4cuUKTp06BT8/PyxcuBADBw7Ud+xEREREtdJ4jM4///lP/POf/8Tp06dx8OBBpKWlIS0tDRUVFXB3d8eIESMQHx+PDh066DNeIiIiIo1pPRg5MDAQgYGB+oiFiIiISKd0No9OfeTk5GDw4MGws7ODj48PNm7c+Mi6cXFxcHV1hVwux8SJE1FcXCxty83NxbBhw2Bvb48nnngCMTExuH//fmOcAhERERkxgyY6I0aMgBACycnJmDdvHiZMmICTJ09Wq7d69WosW7YMCQkJ2Lt3L1JSUtQGO48ePRo5OTn44Ycf8N133+HYsWMcDE1EREQNn0envlJTU3H8+HFcv34drq6uCAwMxJ49e7By5Up069ZNre7SpUsxZ84cREREAACWLFmCqKgofPjhh7hz5w5++OEHpKamSo/U3n77bUydOhWffvopmjVr1ujnRkRERMZB6x6dqqoqnRw4OTkZAQEBcHV1lcp69+5d7RX2/Px8pKWlqc26HBoaisLCQpw6dQo5OTnw8PBQGwTt7OyM0tJS5Ofn6yRWIiIiapq07tFp1aoVoqOjMXz4cPTp0wcymaxeB87KyoKXl5dambu7O3Jzc9XKrl27BiGEWl1bW1s4ODggNzcXQ4cOxfXr16VtQgisWbMGHh4ecHZ21igWpVJZbRVUrmZORERkPB6+TyuVSigUijr307pHZ+HChcjKysLAgQPh5uaGqVOn4vDhwxBCaNVOQUEBrK2t1crs7OxQWFhYrR6AGuuqtqnk5eUhOjoaW7du5SrqREREpH2PzuTJkzF58mQUFhZi7969+P777xEdHQ1LS0uMHDkS48aNQ8eOHetsx8HBAbdv31YrKykpgVwur1YPAIqLi2FhYaFW19HRUfp67969GD9+PAoLC7FhwwaMGDFC43NSKBTswSEiIjJiD9+nH+7heZR6v3Vla2uLYcOGYerUqXjhhRfw559/4tNPP0X37t0REhKCX375pdb93dzckJ2drVaWnZ0NT0/PavVU21RKSkpw584dqe769esRERGBwMBAXLhwAaNGjarvaREREZEJ0TrRKS0txa5duzBp0iS4u7ujX79+yMjIwBdffIFbt27hjz/+QGhoKEaOHFlrO2FhYTh79izy8vKkskOHDqF///5q9ZydndGpUye1QcpJSUlSeV5eHqZOnYqxY8di165dGj2vIyIioseD1o+unJycUFVVhfDwcLz//vv4xz/+AXt7e7U6Y8eOxY4dO2ptJzAwEJ07d8b48eMxf/587N+/H9u2bUNaWhqKi4uRnZ2N1q1bw9zcHJMmTcKCBQvg4+MDmUyGyZMnY9q0aZDJZDh48CBKSkrw0ksv4erVq2rHUO1PREREjyets4AVK1bgueeek8bO1KRjx464ePFinW1t3rwZ48ePR0hICLy8vLBlyxb4+PggKSkJ/fr1Q2ZmJlq3bo0pU6YgJycHo0aNghAC48aNw9y5cwEAmZmZKC8vR1BQULX2VfsTERHR40nrRGfs2LG4cuVKtUQnLS0NPXv21GrpBYVCgQMHDlQr79u3r9pbXGZmZoiLi0NcXFy1uq+++ipeffVVLc6AiIiIHhcaJzpt2rSBTCaDEAJ///vfqz0S+vPPP+Hi4qLzAIkeN97e3uhQWoodACIjI7HjoUH7RESkOY0TnTfffBNCCEyaNAlTp05Fy5Yt1bZbWlqiX79+Og+QyBRkZGRo3NtZWlqK0tJS6d+pqal17pOent6g+IiITJXGic6ECRMAAM2bN0dUVBRsbW31FhSRKcnIyEDbtm212ke1MMrtO3cQHBys8X4PvxhARPS40yjRefvtt/Hvf/8bcrkcV69exXvvvffIugsWLNBZcESmQNWTs379evj7+9dZPzIyEs6lpcCdO3B2ckLK/v0aHcfe3h6+vr4NipWIyNRolOgkJydjypQpkMvlSE5OfmS9+q57RfQ48Pf3r/HtwIdlZ2cDqalAcDD2798PaLAPERHVTKNE56+T9T28ujgRERGRsdJ6ZmQhBD7//HP89NNPAIB58+ahS5cuiI2Nxd27d3UdHxEREVG9aZ3ovPnmm1i4cCEqKipw9OhRfPDBBxg5ciTOnTuH6dOn6yNGvVMqlfD29tZ4gTAiIiIyDNX9WqlUalRf6wkDN2zYgFWrVqF3796YMWMGoqOj8dprr6FXr14YOnSo1gETERER6YvWic7du3elhTMPHDiAOXPmAAAsLCxQVlam2+gaiUKhqLb8OxERERkf1f1a06cwWic6ffv2xZw5c+Dj44PffvsNzz77LJRKJeLi4vDUU09p2xwRERGR3mg9RueLL76AtbU1Dh8+jJUrV8LR0RGvvPIKbty4gfj4eH3ESERERkw1ZoJjHckYad2j4+rqim+++UatbNOmTTAz0zpnIiIiE1FZWYl79+5VW/CZyNC0TnSKi4uxcuVKpKWlobi4uNr2devW6SQwIiIyPE3WUUtMTER6ejpiYmIQHx+v0fpsKpzRm/RN60Rn5MiROHToEAYMGMB1dYiITJTq93tMTIxW+2lbHwAuX77MZIf0RutEZ//+/di8eTMGDRqkj3iIiMgI+Pr64vLly9JabbWJjIxEVVUVCgoKYGdnh127dml0DFUvkCbHIKovrRMdDw8PyOVyPYRCRETGRNNeluzsbD1HQlR/Wo8g/uCDDzBz5kycPn0a5eXlqKqqUvtDREREZCy07tEZPXo0iouLHzlnTmVlZYODIiIiItIFrROdnTt36iMOIiIiIp3TOtH5+9//DgD49ddfce3aNfTp0wdlZWUct0NERERGR+sxOjk5OXjqqacQEBCAiIgIXL9+Hc899xyGDBmCe/fu6SNGIiIionrROtGZMWMGXF1dcevWLTRv3hwAsGbNGty4cQPTp0/XeYBERERE9aX1o6vdu3dj//79aNGihVTm7e2N999/H0OGDNFpcI1FqVRK67NwFXMiIiLjpbpfK5VKKBSKOutr3aNjY2ODioqKauVCiBrLiYiIiAxF6x6d8ePH45VXXsHatWshk8lQUFCA5ORkTJs2DSNGjNBHjHqnUCjYk0NERNQEqO7Xqp6dumjdo7N48WIMGjQIXbt2RUlJCZ566imEhYUhNDQUS5cu1bY5IiIiIr3RukfHzMwM8+fPx5w5c3D16lWUlZXBx8cHdnZ2+oiPiIiIqN60SnRu3LiB77//Hunp6SgpKUHLli0RFBTEVWeJiIjIKGmc6CxevBgLFy4E8GBMS8uWLXHv3j289957sLW1xbvvvovJkyfrLVAiIiIibWmU6Hz++edYtGgR3n//fYwbNw729vbStsLCQqxYsQIzZsyAra0tYmJi9BYsERERkTY0SnQ++eQTxMXFYdq0adW22draYtasWaiqqsIHH3zARIeIiIiMhkZvXV25cgUDBgyotc7gwYNx6dIlnQRFREREpAsaJToVFRWwtrautY6lpSXKy8t1EhQRERGRLmg8j45MJtNnHEREREQ6p/FbV6NGjaq1V6e4uFgnARERERHpikaJztixYzVqzM/Pr0HBEBEREemSRonO6tWr9R0HERERkc5pvdYVERERUVOh9VpXpkipVEqroHIVcyIiIuOlul8rlUooFIo667NHh4iIiEwWe3TwYO0u9uQQEREZP9X9WtWzUxete3SGDRuGnJycauXnz59HSEiIts0RERER6Y3Wic4ff/wBf39/fPbZZwCAkpISvPbaawgODoaVlZXOAyQiIiKqL60fXf30009ISEjA3LlzsXbtWty6dQtlZWVYu3YtRo4cqY8YiYiIiOqlXoORIyIiEBISgl9++QVZWVmIjY3F8OHDdR0bERERUYNoneh89NFHaNeuHS5duoRDhw5h9erV+Oyzz9CxY0fs27dPHzESERER1YvWic4bb7yBWbNm4ezZs+jbty/Gjh2L9PR0hISEYPDgwfqIkYiIiKhetB6jk5aWhr/97W9qZU5OTkhISMD48eN1FhgRERFRQ2md6Pz444/48ccfH7m9V69eDQqIiIiISFe0TnTeeOMNta9LSkqQl5cHMzMzdO7cGWPGjNFZcEREREQNoXWio1Qqq5XdunULc+fORZs2bXQSFBEREZEu6GStq5YtWyI+Pl6aRJCIiIjIGOhsUc+MjAzcu3dPV80RERERNZjWj6569+4NmUymVlZcXIxff/0V48aN01VcRERERA2mdaLTv3//amUWFhZ4++23ERkZqZOgGptSqZRWQeUq5kRERMZLdb9WKpVQKBR11tc60Zk3b572UREREREZgEaJjjavjK9bt67ewRiKQqFgTw5pRPU/CRX+3BARNS7V792Hfx8/ikaJTrNmzeofEZGJqaysxL179+Dg4GDoUIiIqA4aJToff/wx7O3tqw1CJjIFGRkZuH//vkZ1ExMTkZ6ejpiYGMTHxyM1NbXOfdLT0xsaIhER1ZNGiY6joyMyMjLUuonWrVuHIUOGwN7eXm/BEelbRkYG2rZtW699Y2JitKrPzwoRUePTKNERQlQr+9e//oUePXrwlzc1aaqenPXr18Pf37/O+pGRkaiqqkJBQQHs7Oywa9cujY5jb28PX1/fBsVKRETa0/qtK5Wakh+ipsrf3x9BQUF11svOzm6EaIjoYd7e3uhQWoodePAfjh38LJKG6p3oEBER6YIm49hKS0tRWloq/VuT8XEAe1OJiQ4RERmIauiDpuPdXP/79+07dxAcHKzxcS5fvsxk5zGmcaKzfPlytGjRQvq6srIS8fHxcHZ2Vqv39ttv6y46IiIyWb6+vrh8+bJGbz1GRkbCsagIuHsXjnI5Ug4erHMf1RuSmr5VSaZJo0TH09MT27dvVyvz8PDAjh071MpkMhkTHSIi0pimPS2WlpawqqoCAFhZWWk0po4I0HD18qysLGRmZtb5R9tZYnNycjB48GDY2dnBx8cHGzdufGTduLg4uLq6Qi6XY+LEiSguLq5WJyUlBU8++aRWMRARkfH77bffpLccNX3bkQjQMNHRlxEjRkAIgeTkZMybNw8TJkzAyZMnq9VbvXo1li1bhoSEBOzduxcpKSmYPXu2Wp1r167h9ddfb6zQiYiIqAkw2GDk1NRUHD9+HNevX4erqysCAwOxZ88erFy5Et26dVOru3TpUsyZMwcREREAgCVLliAqKgoffvghLC0tERsbi4SEBAAPHqkRERERAQbs0UlOTkZAQABcXV2lst69e+Pw4cNq9fLz85GWlobw8HCpLDQ0FIWFhTh16hQA4K233sLp06fxzjvvNE7wRERE1CQYrEcnKysLXl5eamXu7u7Izc1VK7t27RqEEGp1bW1t4eDgINX18vKCl5cXzpw5U69YlEolV6UmIiIyYg/fp5VKJRQKRZ37GaxHp6CgANbW1mpldnZ2KCwsrFYPQI11VduIiIiIamKwHh0HBwfcvn1braykpARyubxaPQAoLi6GhYWFWl1HR0edxKJQKNiDQ0REZMQevk8/3MPzKAbr0XFzc6u2blB2djY8PT2r1VNtUykpKcGdO3eq1SUiIiL6K4MlOmFhYTh79izy8vKkskOHDqF///5q9ZydndGpUye1QcpJSUlSOREREdGjGOzRVWBgIDp37ozx48dj/vz52L9/P7Zt24a0tDQUFxcjOzsbrVu3hrm5OSZNmoQFCxbAx8cHMpkMkydPxrRp0yCTyQwVPhERETUBBl3Uc/PmzRg/fjxCQkLg5eWFLVu2wMfHB0lJSejXrx8yMzPRunVrTJkyBTk5ORg1ahSEEBg3bhzmzp1ryNCJiIioCTBooqNQKHDgwIFq5X379oUQQvrazMwMcXFxiIuLq7W9cePGYdy4cboOk4iIiJoogy4BQURERKRPTHSIiIjIZDHRISIiIpPFRIeIiIhMlkEHIxPp1MOzZHK2ayKixx57dMi0VFYC+fkP/iYioscee3TofzIygPv3DR1F/SUmAunpQEwMEB8PpKbWuYt1ejoC//u3UTG2eIiImigmOvRARgbQtq2ho9CdmBiNqvkDSNWifqOztzd0BERETRoTHQBKpVJaBfWxXcVc1ZOzfj3g72/YWOorMhKoqgIKCgA7O2DXrjp3SU9Px/MxMdiwfj38je287e0BX19DR0FEZFRU92ulUgmFQlFnfSY6pM7fHwgKMnQU9fOXFe41VQzgNIDipnzeRET0SEx08GApise2J4eIiKgJUd2vvR9+0/YR+NYVERERmSwmOkRERGSymOgQERGRyWKiQ0RERCaLiQ4RERGZLL51RUREhOpv8fBtXNPAHh0iIqL/qqysRH5+Piq5Xp7JYI8OERGZtHQN145LTExEeno6YmJiEB8fj1QN1ssDAHt7e/hyFnOjxUSHiIhMkv1/14qLqcdadtruc/nyZSY7RoqJDpkMPl8nor/y9fXF5cuXcV+1ll8dIiMjUVVVhYKCAtjZ2WGXhuvlxcTEaHwManxMdMjoZWRkaPRLpLS0VO2XlCbdzpp2aRNR06RNL0t2PdbLI+PHRIeMWkZGBtq2bav1fgUFBQgODta4vqqLm4iITAsTHTxY6l312IOPO4yLqidn/fr18Pf3r7VufbqdAQ4kJCJqSlT3a6VSCYVCUWd9JjrUJPj7+yMoKKjWOux2JiKihzHRAaBQKNiTQ0RE1ASo7tcPv4DyKJwwkIiIiEwWEx0iIiIyWXx0RURE1FgeftzCYRN6x0SHiIiaFiOa/8o6PR2B//1bI6WlQFUVUFAA2NkBGi4zYZTs7YEm8MYqEx0iImoaVPNd1WNJB33xB5AK1C+mggJAi/m+jNLly0af7DDRISKipsHX98GN1YiWW0hPT8fzMTHYoMFcXwCAyEigvBy4dQto2RLYu1f/QepDevqD5M6IrsWjMNEhIqKmw8h6D4oBnAZQ7O8P1DHXFwDA0hIwNwfkcsDaWrN9qEGY6BARETUWDj5udHy9nIiIiEwWe3SIiIgaycOz+XJWfv1jokNERNRA6Rq+Xl5aWqq2+HCqhq+Xc/Hh+mOiQ0REVE/2/33lPaYer5cXFBQgWIvXyy9fvsxkpx6Y6BAREdWTr68vLl++jPsavmYdGRmJ8vJy3Lp1Cy1btsReDV4vT09PR0xMjMbHIHVMdAAolUrpuSmflxIRkTa06WWxtLSEubk55HI5rK2tEcTXy7Wmul8rlUooFIo66zPRISIiaiT8z3TjY6IDQKFQ8IePiIioCVDdrx9+g+1ROI8OERERmSz26FCj4NwRRERkCOzRoUZTWVmJ/Px8VFZWGjoUIiJ6TLBHhxokIyNDo1ceExMTpVck4+PjNZ4kS9NJuIiIiGrCRIfqLSMjA23bttV6v/pMrKWalIuIiEgbTHSo3lQ9OevXr4e/v3+tdSMjI9WmPd+1a5fGx+HU50REVF9MdKjB/P3965z0Kjs7u5GiISJ6fPHFj+qY6BARETUBmoxZrO+ioYDp9p4z0SEiIjJi9V04VNtFQwHTXDiUiQ4REZER02bh0PqOhzTlhUOZ6BARERk5TXtZOB6yOk4YSERERCaLiQ4RERGZLD66AqBUKqVX8vgqHhERkfFS3a+VSiUUCkWd9ZnoABBCoLS0FACQmpqq3St2Dy8T3wQTJW9vb3QoLcUOPBjItoPPeImIyEQw0QHQrLISrn/8AQCI/e+reNu2boWnp2ed++Zcu4ZmQsBaCBTLZHDRYs4Cfbt27RoKCwvrrOd7/z48y8sBPJiDgetQERGRsVI9eXl4csRHYaIDwANAtVv7kCEa7ev2l3/bCwFoOWeBPtWdpj2w7y//zrxzR+t5F7gOFRERGSsmOgDg4QF8/z2AB70g/9QwyQGA7wE0B+AKIBfAIC0Oq2mvUX2kp6fj+ZgYxC1ciDZt2tRad8aMGRBC4GZxMQocHJDCdaiIiOgRmtpwByY6AGBhAfx3rSbPoCB8o+HETABQ2a0bhBDIr6pCmZkZVv7yS537qCZmuu3pCc861ogC6rd2STGA0wBaPfss/Os4xr7nn6+zPSIiIpWqqiq1v40ZE50aaNND4e3picrKSty7dw8ODg74XYPERUXTMS71WbuE42eIiEhbmtw7EhMTcWP3buCtt/Diiy8a/XpaMiGEaNQjGhlDvFaekZGBtm3bNsqxTHHdEiIi0i1t70uBeDC2NQgPnh5oQ1f3JU3v3+zRMQBt1i0BHjwDLS8vx61bt9CyZUvs3btXo/04foaIiDSh7XpazqWlwJ07cHZyQsr+/Rodw1DraTHRMRBtEhBLS0uYm5tDLpfD2toaQVo8HiMiItKEVutppaYCwcHYv3+/NMZVl+ozNvVRmOg0AZytmYiIjJIW40Gt09MRCODG7t11jgXyvX8fQggUFRXBxsYG6Rs2VKtTXlCA5nZ2dR6XY3S49AMREZF2MjKARhpr+ijeANCmjXGP0cnJyUFsbCyOHDmCVq1aYcGCBRg1alSNdePi4vDJJ5+gtLQU0dHRWL58OaytrbVuh4iIiBrI1xe4fBnQcryNpjP2q+Z3U/XofPzxx9XqlM+cieYaHNOgPTp///vfYWtri0WLFiEtLQ2TJk3CkSNH0K1bN7V6q1evxuzZs7FmzRo4Oztj6tSpCAkJQXx8vFbt1IQ9OkRERE2PpvdvgyU6qamp6N69O65fvw5XV1cAwKhRo2BnZ4cvv/xSrW6nTp0wduxYzJo1CwCwf/9+REVF4datW7hw4YLG7dSEiQ4REVHTo+n926wxgqlJcnIyAgICpOQEAHr37o3Dhw+r1cvPz0daWhrCw8OlstDQUBQWFuLUqVMat0NERESPH4ON0cnKyoKXl5dambu7O3Jzc9XKrl27BiGEWl1bW1s4ODggNzdX43Zqo1QqdfoqGxEREenWw/dppVIJhUJR534G69EpKCiQBhOr2NnZVRukVFBQAAA11i0oKNC4HSIiInr8GKxHx8HBAbdv31YrKykpgVwur1YPAIqLi2FhYaFW19HRUeN2aqNQKNiDQ0REZMQevk8/3MPzKAbr0XFzc3swu+JfZGdnw9PTs1o91TaVkpIS3LlzB56enhq3Q0RERI8fgyU6YWFhOHv2LPLy8qSyQ4cOoX///mr1nJ2d0alTJ7XBxUlJSVK5pu0QERHR48dgj64CAwPRuXNnjB8/HvPnz8f+/fuxbds2pKWlobi4GNnZ2WjdujXMzc0xadIkLFiwAD4+PpDJZJg8eTKmTZsGmUxWaztERET0eDPozMibN2/G+PHjERISAi8vL2zZsgU+Pj5ISkpCv379kJmZidatW2PKlCnIycnBqFGjIITAuHHjMHfu3DrbISIioscb17rihIFERERNjtFPGEhERESkb0x0iIiIyGQx0SEiIiKTxUSHiIiITBYTHSIiIjJZTHSIiIjIZDHRISIiIpPFRIeIiIhMlkFnRjYWSqWSEwcSERE1Aar7tVKphEKhqLM+e3SIiIjIZLFHB4BCoWBPDhERUROgul+renbqwh4dIiIiMllMdIiIiMhkMdEhIiIik8VEh4iIiEwWEx0iIiIyWUx0iIiIyGQx0TEAb29vjV+LI/3j9TAevBbGg9fCePBaNAwTHSIiIjJZTHRqYArZc2Ocg6kcQ99M5ftkCtcC0P958FpozhS+V7wWxnWMmjDRISIiIpMlE0IIQwdhSNbW1qioqFBbGEypVAKARouF1Ye+2+cxjOsYpnAOPIbxtM9jGNcxTOEcmuoxlEolzM3NUVxcXGu9xz7RkcvlKC0thZubm6FDISIiIg3l5OTA0tISd+/erbXeY5/oEBERkeniGB0iIiIyWUx0iIiIyGQx0SEiIiKTxUSHiIiITBYTHSIiIjJZTHSIiIjIZDHRISIiIpPFREcHcnNzMWzYMNjb2+OJJ55ATEwM7t+/X63egAEDEBMTo1a2cuVKeHp6ws7ODsOGDcOdO3ekbQUFBRg1ahQcHBzw5JNPYunSpXo/l6autmuh2ubg4IDWrVtj8eLFavvGxcXB1dUVcrkcEydOVJttMycnB4MHD4adnR18fHywcePGRj2vpqi2a/Hrr7+ib9++sLe3h7+/P7777ju1ffm50K309HT06tULNjY2aNOmDRYvXgzVFGrHjx9HUFAQbGxs0KNHD6Smpqrty8+FbtV2LU6ePIkePXrA2toa7u7uWLhwodq+/FzUk6AGCw8PFz179hQ//fST2Ldvn/Dy8hKTJ09Wq5OQkCAAiOeff14qO3jwoLC2thbr168XKSkpYsCAAWLw4MHS9jFjxoiuXbuKEydOiO+//17I5XLx3XffNdp5NUW1XYvevXuLwYMHi1OnTom1a9cKKysrsXXrViGEEKtWrRJOTk5ix44d4qeffhKBgYHixRdflNrt06ePGDRokEhNTRXr1q0TVlZW4ueffzbEKTYZj7oWRUVFQqFQiKlTp4rTp0+LDz/8UDRr1kycPHlSCMHPha5VVlaKdu3aiWHDhonU1FSxYcMGYW1tLRISEsSdO3eEo6OjmDNnjjh37pyYPXu2aNWqlbh3754Qgp8LXavtWty9e1c4OzuLiRMnirNnz4qEhARhYWEhNm3aJITg56IhmOg0UHZ2tgAgUlNTpbKEhARhaWkpKioqhBBC5OTkCFdXV9G9e3e1RCcyMlK89NJL0teXLl0SMplMXL9+Xdy8eVM0a9ZMnDp1Sto+Z84cER4e3ghn1TTVdi2OHTsmbGxspF/gQggxbdo0MX36dCGEEAEBAeI///mPtG3fvn3C3t5elJSUiJSUFGFubi5u3LghbR85cqSYOHGi/k+qiartWuzdu1fY2tqK0tJSadvf//538eqrrwoh+LnQtRMnTohmzZqJvLw8qWzixIli6NCh4sMPPxQBAQFSeWVlpfDw8BAbNmwQQvBzoWu1XYuNGzcKJycnUV5eLm0bPXq0CAsLE0Lwc9EQfHTVQDk5OfDw8ECHDh2kMmdnZ5SWliI/Px8A8OKLL2LKlCnw8/OT6gghcOzYMYSHh0tlbdu2hYuLC5KSknD8+HE4ODggODhY2t67d28kJSVJ3ZykrrZrcfDgQTzzzDOwt7eXti1fvhzLli1Dfn4+0tLS1K5FaGgoCgsLcerUKSQnJyMgIACurq7S9t69e+Pw4cONc2JNUG3X4tatWzA3N4eFhYW0zcrKCqWlpfxc6EFBQQHCw8Ph6OgolTVv3hwlJSVITk5G//79pXIzMzOEhobi8OHD/FzoQW3X4s6dOwgNDYW5ubm0zdnZGTdu3ODnooGY6DRQcHAwrl+/Lv3SFkJgzZo18PDwgLOzMxITE5Geno45c+ao7Xfv3j3k5+fDy8tLrdzNzQ25ubnIysqqts3d3R3l5eVSAkXqarsWv/76K5ycnDBhwgQ4OzujXbt2+PjjjwEA165dgxBC7ftta2sLBweHWq9Fbm5u451cE1PbtejXrx9KS0vx7rvvoqysDPv27cPBgwfx7LPP8nOhB2FhYdizZ4/0dVpaGr777jtERkbW+rPNz4Xu1XYtXnrpJWzfvl3adu/ePWzZsgWdO3fm56KBmOjoUF5eHqKjo7F161b85z//QX5+Pl5++WV89dVXav97BR5k9gBgbW2tVm5nZ4eCggIUFBTUuO2v+9KjPXwt7t69i3Xr1sHW1hZ79uzB7NmzMWfOHCQkJNT7WhQWFjba+TRlD18LDw8PLFy4EHPnzoWVlRUGDhyIAQMGYMCAAfxc6JmjoyMCAgLQokULDBs27JHfT9X3GuDnQl8evhZ/deHCBYSGhiI/Px/z58/n56KBmOjoyN69e9GhQwfs378fGzZswIgRIzBr1iz885//RGhoaLX6Dg4OAKD2BgMAlJSUwNHREQ4ODjVuA6DW7UnV1XQtqqqq0L59eyxfvhxdu3ZFbGwsYmNjsW7dunpfC7lc3lin1GTVdC327duHN998Ex9//DFOnTqF1atX48cff8SSJUv4udCz48ePY+fOnbCzs0NERMQjv5+q7zXAz4W+PHwtVD744AMEBQWhtLQUSUlJ8PX15eeigZjo6MD69esRERGBwMBAXLhwAaNGjQIAHDp0CCtXroSVlRWsrKzw9ddfY9OmTbCyskJVVRVsbW2RnZ2t1lZ2djY8PT3h5uZW4za5XK42zoTUPepaODs7o23btmp127dvjxs3bsDNzQ0A1L7fqmfmtV0LT09PPZ9N0/aoa/HFF19g5MiRePnllxEUFIRx48Zh1qxZ2LhxI+zt7fm50LEzZ87gxIkTAAB/f38MHjwYn376KU6ePAlHR8dav9eqr1X4uWiY2q7FjRs3MHnyZLz++uuYNm0azpw5g8DAQADg56KBmOg0UF5eHqZOnYqxY8di165dUCgU0raDBw/i3LlzOHPmDM6cOYPnnnsOgwcPxpkzZ2Bvb4+wsDC1gXsXL17EzZs30bdvX/Tt2xd5eXm4cOGCtP3QoUNqAwdJXW3Xonv37jh//rzawLy0tDT4+fnB2dkZnTp1UrsWSUlJUnlYWBjOnj2LvLw8aTuvRe1quxYPP8ZVlam63vm50K1t27Zh/PjxamVlZWUwNzdHeHi42ve6oqICR48eRf/+/fm50IParsXZs2fx5ZdfYvXq1fjPf/4DGxsbtXr8XDSAYV72Mh3ffvutaN68uUhNTRUZGRlqf/76mqAQQowdO1bt9fKdO3cKGxsb8c0334ijR4+KLl26iBdeeEHaHhUVJXr27ClOnjwpVq5cKSwtLcWRI0ca7dyamtquxY0bN0TLli3FlClTREpKili1apWwtrYWhw8fFkIIER8fL1xcXMTevXvFvn37hKenp1iwYIHUdteuXcVzzz0nUlNTxZIlS4SlpaXIyMgw0Jkav9quxbfffissLCxEfHy8OHfunPj2229Fy5YtxSeffCKE4OdC13799VfRrFkzMWvWLJGSkiL27t0rOnToIMaNGydycnKEvb29mDdvnjh16pR4/vnnRbt27aTfXfxc6FZt12Lq1Kmic+fO1T4vWVlZQgh+LhqCiU4DvffeewJAjX8yMzPV6j6c6AghxPLly4Wbm5uwt7cXo0ePFoWFhdK2vLw8ERUVJWxsbISnp6dYvXp1I5xR01XXtTh37pwIDQ0VFhYWok2bNmLVqlXSvpWVleKNN94QLVq0EI6OjmLmzJnSPEhCCHHt2jURFhYmrKysRLt27cSuXbsMcYpNRl3XYt26dSIgIEBYW1sLHx8f8cEHH4iqqippf34udGvXrl2iS5cuwsbGRrRu3Vq88sor0vf00KFDokOHDsLKykr06dNHXL58WdqPnwvde9S1GDRoUI2fFy8vL2lffi7qRyYEX7InIiIi08QxOkRERGSymOgQERGRyWKiQ0RERCaLiQ4RERGZLCY6REREZLKY6BAREZHJYqJDREREJouJDhHVy+LFi2Fra1ttMUEAGD9+PP72t7/V2UZSUhJkMhkqKioaFMu4ceMQExPToDb+asyYMThw4EC991+4cCFmz579yO35+fno3r17g8+biOrGRIeI6iUqKgpFRUXVEoKqqirs2rULUVFRjRbL+++/jw8//BAAcODAAchksnq3dfr0aaSlpTVonaA9e/bg2WeffeR2R0dH9OzZE19++WW9j0FEmmGiQ0T10rZtW3Tq1Anff/+9WvnPP/+MW7duITo6utFicXFxgaurq07aeueddzB16tR675+Xl4f09HT06tWr1nr/+te/sHDhQpSVldX7WERUNyY6RFRvUVFR2Llzp9qq8Dt27EDr1q3x1FNPAQAqKyvx+uuvw8XFBXZ2dhg+fDj++OOPGtu7dOkSwsPDYW1tjb/97W949913UVlZKW3/8ssv4eXlBVtbW/Tr1w/p6ekA/vfoKikpCeHh4QAAmUyG5ORkyGQy/P7771Ib+/btQ/PmzXH79u1qx799+zZ27tyJoUOHAgCysrIgk8mwfv16tG/fHnZ2dnjxxRdx7NgxdOjQAdbW1oiIiEBhYaFa+/369UPz5s1x6dIlPP3007Czs4OPjw+WLVsm1fPz84OjoyP27t2r7bediLTARIeI6i0qKgo3btzAyZMnpbLvv/8ew4YNk75euHAhDh48iG+//Rb79u3D/fv3ERERgYeX2SsrK8OgQYPQokULHDlyBPHx8VixYgXee+89AA8SiH//+99477338OOPP8LR0REjRoxQa6N79+5Yu3YtACAjIwPdu3eHu7u7Wq/T9u3bERYWBmdn52rnc/jwYbRu3RotWrRQK3/33Xfx6aef4ssvv8Rnn32GqKgoxMXF4cCBA0hJScGqVaukurt378agQYMAPBjr4+3tjRMnTmDx4sWYO3cudu3aJdXt2bMnDh48qNk3m4jqx7BrihJRU9ehQwcxd+5cIYQQv/32mwAgTpw4IYQQori4WNja2ooLFy5I9e/cuSNkMpk4f/68OHz4sAAgysvLxbp164STk5MoKSmR6m7cuFG0aNFCCCHE008/LWbPni1ty8nJEX379hV3794VY8eOFc8//7wQQogffvhB/PVX27Rp00RYWJj0tYeHh0hISKjxXN5++20RHh4ufZ2ZmSkAiG+++UYqa9mypXjjjTekr4cPHy6mTp0qhBCiqqpKuLi4CKVSKYQQ4oknnhBLly6V6u7cuVOcOXNG+nrRokUiNDS05m8sEekEe3SIqEGioqKkHpMdO3ZAoVCgW7duAICrV6+isLAQQUFBsLKygpWVFdzd3SGEwLVr19TaOX/+PLp37w5LS0uprFOnTsjLy0NeXh7S0tLQs2dPaVurVq1w+PBhPPHEE7XGFx0djaNHj+LPP/9ESkoKcnNz8c9//rPGurdv34ZcLq9W3r59e+nfFhYW8Pb2lr5u3rw5SktLAQC//PILXF1d8eSTTwIA5syZg1deeQVdu3bF66+/Djc3N3Tu3Fnat0WLFrh582at8RNRwzDRIaIGiYqKQlpaGjIzM7Fjxw4MGzZMeutJNdA2OTkZZ86ckf6kp6ejT58+au2UlJTAwsJCrayoqAgAYG1tjcLCQpibm2sdX69evdCyZUvs3r1bemz18KMplYqKClRVVVUrt7KyUvvazKzmX50Pv2312muv4ffff8fEiRNx+fJldOvWDQkJCRq1RUS6wU8YETVIx44d4efnh/Xr1+PIkSNqb1v5+PigWbNmKCoqgp+fH/z8/GBhYYGJEydWe9uobdu2OHXqlNrg4+TkZPj4+MDa2hp+fn44c+aMtO3ixYtwdXXFvXv3ao1PJpMhKioK27dvx/bt22t9G8zd3R35+flafgf+56/jc3JzcxEdHQ0nJydMmjQJW7ZsQWxsLLZv3y7V//PPP2scK0REusNEh4gaLCoqCkuWLIGLi4va4yV7e3tMnDgR06ZNw5EjR5CcnIxRo0bB0dGxWq9KTEwMioqKMGnSJJw6dQqJiYmIi4vDzJkzAQDTpk3D0qVLsXnzZvzyyy+YOHEiunXrBgcHB7V2VI++Tpw4IU3IFx0dje+//x4XL16U3qiqSffu3XHlypV6fQ9u376NjIwMhIaGAgCcnJxw/PhxTJs2DampqThw4AB++OEHBAcHS/tcvXoVnTp1qtfxiEgzTHSIqMGio6NRVFSEoUOHVpus78MPP0SPHj0QGRmJf/zjH2jbti3WrVtXrQ25XI6dO3fi3LlzCAkJwYwZMzB9+nRMmTIFADB27FhMnz4d//rXvxAeHg43Nze1t51UgoKC0LlzZ/Tt2xc3btwAAISGhqJFixZ49tln4ejo+Mjz6NGjB/74449Hvv5em3379uHpp5+WHq+Zm5tj8+bNOHfuHPr06YPRo0dj0KBBeO2116R9Tp48Kb0OT0T6IRPioXc8iYhMTFVVFby8vBAfH49//OMftdYdNmwY+vXrh5deekmvMV25cgW9evVCVlZWtTFARKQ77NEhIpN26dIlLF++HAAwePDgOuu/8847WLlypb7Dwueff45XX32VSQ6Rnmn/CgMRURPy8ssv4+zZs/jqq680emurY8eOCAkJwZ49e6SBxbr2559/4uDBg/j555/10j4R/Q8fXREREZHJ4qMrIiIiMllMdIiIiMhkMdEhIiIik8VEh4iIiEwWEx0iIiIyWUx0iIiIyGQx0SEiIiKTxUSHiIiITBYTHSIiIjJZ/x9INC73TTm5IAAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "\n", "# Integeter\n", "x, y, dy = cube.average_spectrum(r_min=0.5, r_max=1.0, inc=5.0, PA=152.,\n", " mstar=0.88, dist=59.5, dr=0.1, resample=50.0)\n", "ax.errorbar(x, y, dy, fmt=' ', capsize=1.25, capthick=1.25, color='k', lw=1.0)\n", "ax.step(x, y, where='mid', color='k', lw=1.0, label='resample=50.0')\n", "\n", "# Float\n", "x, y, dy = cube.average_spectrum(r_min=0.5, r_max=1.0, inc=5.0, PA=152.,\n", " mstar=0.88, dist=59.5, dr=0.1, resample=200.0)\n", "ax.errorbar(x, y, dy, fmt=' ', capsize=1.25, capthick=1.25, color='r', lw=1.0)\n", "ax.step(x, y, where='mid', color='r', lw=1.0, label='resample=200.0')\n", "\n", "ax.legend(loc=1, markerfirst=False)\n", "ax.set_xlabel('Velocity (m/s)')\n", "ax.set_ylabel('Flux Density (Jy/beam)')\n", "ax.set_xlim(2.34e3, 3.34e3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "____\n", "\n", "**Quick Aside:** By binning the data to lower spectral resolutions you are actually losing information, even though it may appear to improve things. If you know that your line profile is Gaussian, you'll get the best results when fitting a Gaussian line when you have the highest spectral sampling. See, for example [Lenz & Ayres (1992)](https://ui.adsabs.harvard.edu/abs/1992PASP..104.1104L/).\n", "\n", "____\n", "\n", "Using the argument `unit='K'`, we can also return this in units of Kelvin, using the Rayleigh-Jeans approximation. And note it is exactly that, an approximation, and is a very poor conversion at sub-mm wavelengths, so use with caution! It does, however, offer a quick way to compare spectra _of the same frequency_, but imaged at different beam sizes.\n", "\n", "## Extracted a Disk Integrated Spectrum\n", "\n", "In a very similar fashion we can extract a disk integrated spectrum, returning a spectrum in units of Jansky. Again we provide it the inner and outer radii to integrate over. Note here that this returns a single-peaked profile. This is because we've corrected for the Keplerian rotation of the disk prior to integrating (hence the need for specifying `mstar` and `dist`)." ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1840.0, 3840.0)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "x, y, dy = cube.integrated_spectrum(r_min=0.5, r_max=1.0, inc=5.0, PA=152.,\n", " mstar=0.88, dist=59.5, dr=0.1, resample=50.0)\n", "ax.errorbar(x, y, dy, fmt=' ', capsize=1.25, capthick=1.25, color='k', lw=1.0)\n", "ax.set_title('Integrated Flux = {:.0f} mJy km/s'.format(np.trapz(y, x)), fontsize=12)\n", "ax.step(x, y, where='mid', color='k', lw=1.0)\n", "ax.set_xlabel('Velocity (m/s)')\n", "ax.set_ylabel('Integrated Flux (Jy)')\n", "ax.set_xlim(1.84e3, 3.84e3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If we were to remove these arguments then the function will default to a standard integration without correcting for the velocity structure of the disk. Here you can see the more typical double peaked profile of the disk, but note that the velocity integrated flux is the same." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(1840.0, 3840.0)" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "x, y, dy = cube.integrated_spectrum(r_min=0.5, r_max=1.0, inc=5.0, PA=152.)\n", "ax.errorbar(x, y, dy, fmt=' ', capsize=1.25, capthick=1.25, color='k', lw=1.0)\n", "ax.step(x, y, where='mid', color='k', lw=1.0)\n", "ax.set_title('Integrated Flux = {:.0f} mJy km/s'.format(np.trapz(y, x)), fontsize=12)\n", "ax.set_xlabel('Velocity (m/s)')\n", "ax.set_ylabel('Integrated Flux (Jy)')\n", "ax.set_xlim(1.84e3, 3.84e3)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Radial Profiles\n", "\n", "For well detected sources, you can also imaging wanting to plot radial profiles of their emission. Most typically people would plot the radial profile of the total integrated intensity, showing ${\\rm Jy\\,beam^{-1}\\,km\\,s^{-1}}$ as a function of radius, or the peak flux density, ${\\rm Jy\\,beam^{-1}}$, or the brightness temperature, ${\\rm K}$, as a function of radius.\n", "\n", "Most of the time this can be readily achieved by making moment maps (shameless plug for [`bettermoments`](https://github.com/richteague/bettermoments) to make such moment maps) and creating the radial profiles. However, even for bright sources, in the outer disk this approach is limited to what can be detected on a _per pixel_ basis. Shifting and stacking the spectra and give a significant improvement in the outer disk.\n", "\n", "The easiest way to get a profile is to use the `radial_profile` function. As with the `averaged_spectrum` or `integrated_spectrum` you want to specify the source geometry. In addition, you can (should!) provide radial bin edges or centers (not both) and the unit you want. The allowed `unit` values are:\n", "\n", "- ``'Jy m/s'``: Integrated spectrum in Janskys.\n", "- ``'K m/s'``: Integrated spectrum in Kelvin.\n", "- ``'Jy'``: Peak of the integrated spectrum.\n", "- ``'Jy/beam'``: Peak of the averaged spectrum.\n", "- ``'K'``: Peak of the averaged spectrum in Kelvin." ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Peak Intensity (Jy/beam)')" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Calculate the peak flux density as a function of radius.\n", "x, y, dy = cube.radial_profile(inc=5., PA=152., mstar=0.88, dist=59.5, unit='Jy/beam')\n", "\n", "# Plot\n", "fig, ax = plt.subplots()\n", "ax.errorbar(x, y, dy, fmt=' ', capsize=1.25, capthick=1.25, color='k', lw=1.0)\n", "ax.step(x, y, where='mid', color='k', lw=1.0)\n", "ax.set_xlim(x.min(), x.max())\n", "ax.set_xlabel('Radius (arcsec)')\n", "ax.set_ylabel('Peak Intensity (Jy/beam)')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "For the integrated quantities, these are integrated over the _whole_ spectrum. You might want to apply your own clipping thresholds or integration ranges. If this is the case you can return an array of all the spectra using the `radial_specrta` function which takes the same values. Note this time `unit` can only be `'Jy'`, `'Jy/beam'` or `'K'`. First we get the deprojected spectra." ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [], "source": [ "rvals, velax, spectra, scatter = cube.radial_spectra(inc=5., PA=152., mstar=0.88, dist=59.5, unit='Jy/beam')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here `rvals` is the array of bin centers used for the profile while `spectra` is of shape `(M, 3, N)` where `M` is the number of radial samples and `N` is the number of velocity samples. The second (index 1) axis is split over velocity, flux density and uncertainty." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A nice way to plot all these spectra is as follows which nicely demonstrates how the lines get weaker in the outer disk but also narrower. This is called a 'teardrop plot'." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiQAAAGzCAYAAAAfeAwWAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAABtJklEQVR4nO3deXwURcI+8KdnJhcJkGAgBAwJGC45BHUB8VgQ8AB0V4nKsqhEBMUVcV3xRV0WD1R0Rd19vdgFQX+Kr6gIiAKKEDaCx0KIGgUF5TAxcgWEhEyOmfr9ETOkq4pMz0EmM/N895PPOp3q6uqenklR3f2UIYQQICIiIgohW6gbQERERMQOCREREYUcOyREREQUcuyQEBERUcixQ0JEREQhxw4JERERhRw7JERERBRy7JAQERFRyLFDQkRERCHHDgkRERGFXEg7JH/6058QHx9v+pkzZ04om0REREQh4Ajlxrdt24a///3vGDFihGdZ27ZtQ9giIiIiCoWQdkh27NiBiy++GD169PBpveTkZFRVVSE9Pf0UtYyIiKJdaWkp4uLicOTIkUbL/fa3v8WPP/4YtO1mZGRgw4YNQasvXBihmu23srISiYmJyMnJwccff4xWrVph8uTJuPPOO2GzNX4lyTCMk/2mkdfuX//f3ugaJw6GS1teLmVWvw1froR5W8eQXhkQqP31vx2/tsbKW9jY/nhbp2HbvG2r/vfejkHD/XL9usRb/1g0+K+T7U9j7dOfA41rrG3iJK9OfqwN5YwDYBgQoubX/4wBLH4k5fPAn/LyuaN+HgI5b6x+1k6+jj/baW7raN9zDV/fT/066rmjLrGyP/Jauu8pdb8aLhEWP9cnzkHrx7n+mDZ+zE52LBq+N/LvXZDFx8ejsrKy0fZ06dIFe/fuQadOpzVazoq9ew+hU6dM/PDDDwHXFW5CNkKyc+dOCCFwxhln4N5778WWLVtw1113weVyYfr06Y2u63A4UFtbC/kPpc2WaCrX8CR1uY8CMBAX014qY/7D6RZ1J3h17X4AQKyjnbJ9969/PBosAQDUuo7Utc+eDCudEiFqf20XYLe1gmGo69iMONNruy0WzuoSAEB8bEdTm0/U64asfn/k/TfthVRPTe0BT9s8dUOt21SH+xgAw7SOt/2qrt0PAwYS4jqdWEdz/FzuKs9/V9X8BAEgxpFqKiOE/IVyor3174+8jm5b9W2uqvkZwIljbd6W+Vi4RDUAoKb2oGc7ct0Oe4JSj81woKJqFwAgMa6z9v2Tj7sQLuU8MAy5A2De9vGq3cq+uNzVSlsaqj/ODc8b+TyRt3Wyc01uT8N9qj/O8jqNHYv646z7jMrnXH2bG743Vhiwmb4LdOeyTsP9kY+pdjuGHZVVewHA9Dnwpn6d+vdUd7zk96ux77YT65i/42pdZQAAh72NZ5nNiFHWa7ivVTU/ATDQIi7LVEY+l+s/1w2Pmdxm+RjWv5Y/A6btnOTcabgd+ZysP98btM7ySHynTqfh251PWirbmO7ZdwdcR7gKWYeka9euKC4uRseOdSdS//79UVZWhueee85rh6Se+Q+l+iVJRERkVVxMB21H2QoBAaHprPtKQFgcU4s8IeuQxMfHezoj9Xr37o19+/Z5XTcjIwO7du05VU0D0Pi/Hk6mbmTENw07VVbp/jVwKvjTNputpXbEoTGxjnbakYPGxMV08IxInEqNjSidjNV/fTeUGNfZ53Wa4jyQv6Ct8GUk4cR2muY4+8Of7wJ/9seXkZF6TfVd0HBkxKq4mA6w2+K8F/SU9/2YNdX+U9MI2WO/TzzxBIYPH25atmXLFvTs2TNELSIiIvKfEK6Af6JZyEZILrnkEvz1r3/F/fffjzFjxuDLL7/EE088geeff/6UbM9uawWHPdF7wQjlz78+Io0/I1iRhP+abLpRlebMnxGfSHLqvguF9v4qf+qJViEbIenXrx/eeustrFy5EoMHD8aDDz6IWbNm4frrrw9Vk4iIiChEQppDcuWVV+LKK68MZROIiIgCJxCUm1ohoHuiOiqEtENCREQUGYLzlA0v2RARERGFUESPkKhhUprHF6WhMflxxcZCs+o1DOw6OXXb6qOR3relo4S76TJZ/Oh0G5pAJ8PSI6AWQuG81KPbb+W9EWoZNWlRU0a+k103PCrkl973W3eunCzQybzMHDDlhhy8B7jd6jJv21fPZTUBU26P7rhrPzdyGfn4aM43m83htYzXeuF9PwFrbbYSWCbXo7zWtM9qENqpoP2+sHAuNxYoeILv/3719ZHxk9YjHXftd5zE1/iBeg3fP6spu/WE2/8Rkj5n1k0sW1x8BBkZrf2uJ5xFdIeEiIioaQggoEs20Xupph47JERERCH21dd1CeV9ev09xC0JHXZIiIiIgiA4N7VGrzDukLhNE9MREREFQ/2kfb7NkSYAC/d6WaonSoVxh4SIiKh5EEHKIRECMJhDEm5sHBkhIqKgq59moX6khJpGGHdIiIiImgsBBPDYr6meKMUOCRERUcDYIQkUk1qJiIgo5DhCQkREFAx87DcgYd0hMUwRv97joy3FUFuIpZZH1OTob922hIVROF2ctJV9UOrRHQs/1lOivgG4LXzgrERn+0M+PlbeG30EtrSKJmbcMOK8b0ti03ycrKxnhdxGm0095+RtqbHncjy49+0A6ntupR5d4raVcydYsfDKeprPn5Voca9THPg5yCwfQ3+j5OX1rL3Hahn56RD91A3eP3/q955uW75/F7mF9DitbmoC+XvYwjmo+67y9z01hIARhEs2hpU/FhGKl2yIiIjCTGlpKUaNGoWkpCRkZ2dj8eLFJy07e/ZspKWlITk5GZMmTUJlZaW23COPPILTTz/9VDXZK3ZIiIiIgsFdG/iPRWPHjoUQAvn5+Zg1axYmTpyIzz//XCm3cOFCPPPMM1iwYAFWr16NLVu2YPr06Uq5bdu24eGHHw5o9wMV1pdsiIiImoeme8qmoKAAmzZtQnFxMdLS0tC/f3+sWrUK8+fPx4ABA0xln376adx7770YPXo0AGDOnDnIycnB3LlzERdXd2na7Xbj5ptvxsCBA/H9998HYR/8wxESIiKiIDBEbcA/VuTn56NPnz5IS0vzLLvwwguxfv16U7nDhw+jqKgII0aM8Cw7//zzUVFRgc2bN3uWPfvss4iLi0Nubm6ARyAwHCEhIiIKkT7nvWN6XVxSgYxObRtdZ/fu3cjMzDQt69ChA/bt22datnfvXgghTGUTExPRqlUrT9k9e/bg4YcfxqZNm7Bx48ZAdiVgHCEhIiIKmADcLt9/IKQf78rLy5GQkGBalpSUhIqKCqUcAG3Z+t9NnjwZd911F7p27erPTgcVR0iIiIgCJeDXY79F+aNMr3tf8J7XdVq1aoWDBw+aljmdTiQnJyvlAKCyshKxsbGmsikpKXjllVfw888/a29yDYUwHiFxo9ZVhlpXWagbQkREEcRZXQJndQkEmmfQWXp6OkpKzBP/lZSUoFOnTkq5+t/VczqdOHToEDp16oR169bh66+/RlJSEuLj4zFp0iSUlJQgPj4e77777qnfEUkYd0iIiIiaCz8v2Wgv4TRu2LBh+OKLL1BWduIf5OvWrcPw4cNN5VJTU9G3b1/Tza55eXme5Y899hiKiopQWFiIwsJCPPTQQ0hLS0NhYSGGDh0atCNjVRhfsrEj1tHO80pJ8qtbanqlTTGUkvrk9EErCYraZD/5nNKkBlqpR04+tJJ2GSy69tiNWNNrS+m3FtI25fdGaLbtLVVXR3e8LKXxWqAmV3o/V6y8f/rkWClFV5MwKSdV1gpz+JG/21Y/N/6l38pLtO+f4b2MlfdLSa3VnaeGnAaqHh95Pfm4W0kltpRQqzlechqvpW3p6lZSazXvsbymLtnWwneYUq+VbWl4b7N/n31lO9rzy46EuLqRhsqqvV7rMG+0ab6f+/fvj7POOgu5ubl44IEH8MEHH2DZsmUoKipCZWUlSkpKkJWVBYfDgcmTJ+Ohhx5CdnY2DMPALbfcgqlTp8IwDKSnp3tGUYC6ERWHw4EePXo0yX7IwrhDQkREFJ3efvtt5ObmYvDgwcjMzMTSpUuRnZ2NvLw8DB06FLt27UJWVhamTJmC0tJSjBs3DkIITJgwAffdd1+om69lCBF+wfldunTBrl17vY6QqPMzqP0vu808Z4n8rxD9/DLmfzFq/2V1iuag8XvuDH/msrHwL7JgjZCoIwDqXC0yl7tKWVbrlkcFqv1qn02ay8Zui1XK+Dv/iLot83HWzydjPr/l87auHmmERDoWuuMls7JtKyMkOobUPiujH37PK+JlXh9dGd3n2NvcJ0EbIdHsp18jJJptye+7y63Ghsvr6dvT+Heljr/zasnUNus+s+bjZWU78ogvYD7ulVV7kdU5Az/88EOj9XTp0gWiZh++Xn+x121602voOhgxaV63GYk4QkJERBSwX+8hCUY9UYo3tRIREVHIcYSEiIgoCIygjJBEL3ZIiIiIAsZLNoFih4SIiChQIkgjJNHbH+E9JERERBR6HCEhIiIKBt5DEhB2SIiIiAImgnRTa/ReswnrDom34Bt/YuCVbWji5nUhS95YCYHSx3abQ6m0kepyhLmF2HVdkJx6vLyHD+nqsRKy5G0d3bFQgqJsaniaIQehWfhsy4FddcsCP3d03G5NgJ9hPsd0oXDy9q0Exylx/BbCwazRrWMlTl76LOmiyKX3y0r7tOeB1EZhaALfpPdCH3DY+JQGhs3CeWEhrEz3ftogB6OpZeTPn3Z6DE3NyhILIWcyf0PrrNSjvhfegxOtfJ96WyeUeozeAgAo/rkKGZ28FI5QYd0hISIiajZ4ySYgYdwhcaGm9iAAIMaRGuK2EBFRpKifVE/Ah8nyBGC4/ZtWAQC+XdYXAND9d1/6XUe4az7jVURERBS1wniExM6RESIiCrqEuLqbOOpHSqxhMFqgwrhDQkRE1IzwHpKA8JINERERhRxHSIiIiAJkQMDwIxJCV0+0YoeEiIgoUALBuWQTvf0RdkiIiIiCIoDHfinCOyS6BM5Q0SUCKgmFmuRKQ0pr1CfHmpf5mz4oJ9/q0kmVui305nUJmMq2paFOXQqvnFxpJZVSl0Apnxe6MlaSK9XjrjlecrKnhfRbbRlp3+2ac9ulSc31xspxt0Zus64eaVu6c0f6DOjOHTWRUz0PbDaHVEaTgqy0R3c+NX585MRVwNq5YyX5V0mb1SY5m5fpjpeujWp7/PhsaRJyZdp6hPzS+3sjHy+7LdbCtq0ktXr/zFLTiegOCRERUZPhCElA2CEhIiIKGCfXCxTHpoiIiCjkOEJCREQUKIHgXLKJ3gESdkiIiIiCgveQBIQdEiIiohDrdkMJAODHA7XI6BTixoRIGHdIXKipPQgAnGSPiIiC5njVbgCAgPfIghNEgCMkUXyt5ldh3CEhIiJqRgJ4yua7l9IAAN1u2hes1oSdMO6Q2DkyQkREQdciLgvAiZESahph3CEhIiJqJgRg8CmbgER0h8RKBLAa7e090lmJ2w7CDI+6tgBqDLVuS3I8szZ2XapHjiLX0cbUWzleUny17vj4G2/vK930Acp7HqQ4HisR5nYjTi1jeI+Fl9to0xw/f6Ljg0U+D6zEnBuaqRKU9SwcCyvb0rEypYG3SHWX7jNiyPvp/XOtn+JA2k+o23JL77kuJt4tqqVtqbHrVr5nrHxurEw9IO+X262+D0LaL5v0ubHyPa07pnL73G71M2MlEl8v0HtIGtQTpSK6Q0JERNRk+NhvQJjUSkRERCHHERIiIqJg4AhJQNghISIiCpQA4A7C/R/RewsJL9kQERFR6HGEhIiIKGB8yiZQzWaE5JFHHsHpp58e6mYQERH5x+0O/CeKNYsOybZt2/Dwww+HuhlEREQUIiHvkLjdbtx8880YOHBgqJtCRETkn/qbWgP9id4rNqG/h+TZZ59FXFwcbrjhBvz1r3/1Yc0Ts/3Wk+e2sZIGKpdRk1s1aYSGlJho4QTSpRpaSiv14+SUUw4BNXlRmwwptdFakqWamKjsqyaRMxh07dOlpcr8SYnVJWDKaaC6YyqTU1kBINaWYHrtMOKVMnYpWbdGODW1Vza6be25rKQO646fcvYoJeR91yWYqsmsuvfB9yFr7X7B+35Z+azLy+T9EppzUN4DA+pnxC6lpfqTEA2onwFde2S6c9Buk5JQ3eqxkLel+0yEkvweaz/nQn5pPqZVNT+bvq506biNNyK6L7kEKqQjJHv27MHDDz+MefPmhbIZREREFGIhHSGZPHky7rrrLnTt2hUbN270cW07Yh3tPK+szKFARER0MnEx7U0jZ1U1P/lWQQA5JF3vqhv1/PGQQEaS39WEtZB1SF555RX8/PPPmD59eqiaQEREFDzBCEaLYiHrkKxbtw5ff/01kpLquoIulwu1tbWIj4/Hm2++iSuuuCJUTSMiIvKRCKhDsuOJuvuKut7TvO7NaUohu4fkscceQ1FREQoLC1FYWIiHHnoIaWlpKCwsxNChQ0PVLCIiIgqBkI2QpKenIz093fTa4XCgR48eoWoSERGRf0SQHrKJ4qs+IX/sl4iIKCLwHpKAhDwYrd6ECRNQXFwc6mYQERFRCHCEhIiIKBiYPhEQdkiIiIgCJRCcDkkUX/UJ6w5Jw2hgXTS7Ul4b326XXstR8mqksxy9LAz1LJSD2mw2Na5ZjWpXI9+DFfgmxyoL3fGSor310ezm9jjsCUoZ+Rhai7yWY5/V4y5HVeuj7b3HnCux4rpjLEdMa/bBynujrKeJ0Y8zWppexyNRKeOWtqWLxa4xzNHxLvk8tbQPmjLC+7Zlunhy+fzWTzsQI5VRt6XEnFv57OvabGXmBmXf7dLvNdHxolrajPo1KyxMM6DE+ls53yyUsdti1WWG+Zjqjk1trXR+udWpCgxpv3TngfIdayHiXeZ2a6bHkN4L7VQA0o7ppntoWE8U9w1CIqw7JERERM0GezABYYeEiIgoCIT7FM0kGiWazVM2REREFL3CeITEhaqanwHUTYhEREQUDPV/WwBXo+UUfMomIGHcISEiImouDCAol2yi97JPGHdI7BwZISKioKv/23JipMQ7IYJzD4kQ0dslCeMOCRERUWToPtsJACg+IpDROsSNCRF2SIiIiIKBT9kEhB0SIiKiYBD+d0i+vbcFAKD7Y8eD1Zqww8d+iYiIKOTCeoSkYbSyLgI4GHTxwzYp3lrYdHHb5sfFdO2TY+m10fFyfLRQH0NTI7jVSG55PbeoUspAyJHvaiy2fDxcbs3xsRSLLe+HvJ/qMXVp9l0lR0Or0dVKdLxmW1birXXreeOQI7oBJKCV+bVooZSphfm9sGnaU22YY/xdNvP5pDu/lNh1TdKkMg2CJvJdfs91EeZqPbrPhO9TQOjeY7tUt0s7zUDj7QPU91jZT0M9J4UUHa+b4sCQY841nyMr9NMnSNvy49+duu8Z5TMK71NL6Cgx9Vp+tNnC59pumGPzdeeOy12tLLPcBl6yCUhYd0iIiIiaBQHAz46lUk+U4iUbIiIiCjmOkBAREQUDL9kEhB0SIiKigBkQATxl07CeaMVLNkRERBRyHCEhIiIKhmDc1BrF2CEhIiIKVJDmsuFTNmHJhera/aiu3R/qhhARUQQ58bfFSvZRA24j8B+LSktLMWrUKCQlJSE7OxuLFy8+adnZs2cjLS0NycnJmDRpEiorKz2/27ZtGy644AK0aNECnTt3xqOPPgohQtMrCuMOCRERUXQaO3YshBDIz8/HrFmzMHHiRHz++edKuYULF+KZZ57BggULsHr1amzZsgXTp08HALjdblx11VVo3749Nm7ciEceeQSzZ8/GwoULm3p3AIT1JRs7Yh3tGi0hp2vqUg2VREI5idFC8qA2CTFIN0rr0iNlVpJR5Vrcbs2xUJIXdcmVXosAtgTNQjM5XVau1y28pyXq99t7wqqV5Eorx12uR7etGOlYJNjUaTxbuc3LEkSsUqbKMKes6toXY8SbXtcYlabXLl1qrXR+G5oyhpe00rr11PRWtZ7gHHdL743UHsNCCqvbrSbZyt8Z8r5rk4AtpKfKat2VXsvotqWW8f6Z0HFJyc36BFi5HgupuhbOC3/W06fqeh/NcEvfcXboU2Pr/7b4OgIfnKdsvCsoKMCmTZtQXFyMtLQ09O/fH6tWrcL8+fMxYMAAU9mnn34a9957L0aPHg0AmDNnDnJycjB37lwUFhZi586d+OSTT5CSkoL+/fsjLy8P7733Hm666aYm2ZeGOEJCREQUMKPuptZAfyz8azY/Px99+vRBWlqaZ9mFF16I9evXm8odPnwYRUVFGDFihGfZ+eefj4qKCmzevBnl5eUYMWIEUlJSPL+PiYmB0+kM/HD4IYxHSIiIiMJbr+cOml4XH3UhI+UkhX+1e/duZGZmmpZ16NAB+/btMy3bu3cvhBCmsomJiWjVqhX27duHq6++GsOGDfP8rqioCG+++SYeeughP/cmMOyQEBERBUFTTa5XXl6OhATz5eCkpCRUVFQo5QBoy9b/rl5KSgqOHDmC7t27Y8yYMaeg1d7xkg0REVGgRN09JL7+fHVrO9PP6S2933fTqlUr05MyAOB0OpGcnKyUA6At2/AyDQBs2rQJK1euRFJSkud+k6bGERIiIqIwkp6ejvz8fNOykpISdOrUSSlX/7vWretunnc6nTh06BA6deqEwsJCOJ1ODBo0CD179kTPnj2RmpqKQYMG4eeff0b79u2bZod+xRESIiKiYAjKTa3eDRs2DF988QXKyso8y9atW4fhw4ebyqWmpqJv376mm13z8vI8y5ctW4bc3FzTOtXV1XA4HMoISlPgCAkREVEQNNU9JP3798dZZ52F3NxcPPDAA/jggw+wbNkyFBUVobKyEiUlJcjKyoLD4cDkyZPx0EMPITs7G4Zh4JZbbsHUqVNhGAauu+46zJ49G3fffTfGjRuHAwcO4C9/+QvGjx+PuDj9I9GnEjskREREYebtt99Gbm4uBg8ejMzMTCxduhTZ2dnIy8vD0KFDsWvXLmRlZWHKlCkoLS3FuHHjIITAhAkTcN999wEAevbsiRUrVuD+++/HCy+8gHbt2iEnJwcPPvhgSPaJHRIiIqIACQQnGE3AWq5mRkYG1q5dqywfMmSIKfrdZrNh9uzZmD17traekSNHYuTIkX62NrjYISEiIgqUMIIz228Tpb02RxHTIdFFCcvR3toYeC/vvVuocdJWoqv9YSl+W1PGbvN+rU+4gtRm+Rhqjp8aR+49vl1Ik1hZiXfX3ZOtRoarZWw2cwS3y12llJGjs3X1yPuli/aOsbUwvW4p2ihlWkGOl1ff40phXlYFNVrfLn2c7RamFJCPhX4qAPNL7bFQC3llZVoGbUS4fC5rPjZyTL0umr3GZc5sEJrPukyOZtee20oZ759rXdy8rm5v7ZGnvtBvy3uMvpX3xkpMva6MvEwfUy+1TzoP9J9HeToKNUperkf7d8PCcT+ZprqHJFLxKRsiIiIKuTAeIXF5Jj7yNskeERGRVVU1P//6X94n7GuoqSbXi1Rh3CEhIiJqRoJxD0kUC+MOiZ0jI0REFHRxMXUJpSdGSqgphHGHhIiIqPngTa2BYYeEiIgoUCJI95AI70UiFTskREREIXb2q7sAACXltchIDXFjQoQdEiIiooAZAV6y4eUedkiIiIiCQAj/n7LZ/IczAADnvv59sJoTdiKmQ6JL7rOUBOkloVCX1Opym1Mydcl+cnqqLo3QsJD4qiRD6pJHpTJW9ttSeqou0dHwPV3TSuqqlTRLK+tYStK00B45tVNo1nEY5oRV3bZiDXNSa5w7XimTIO1Hgl3dL7cUh+AQmsReKSnWkCJMrRwLw6b5HLm9p1vKy9xu76mn/pI/k7UWoiK0abzSMgFdYqj5eCgJvhY++7rzzUo6qRXq+W4lFdb7AdN+RpR7G7zvuz7N1Xdym12afVBSmq18P3hJHeaYRdOKmA4JERFRSPEpm4CwQ0JERBSgYM72G63YISEiIgqUCFIOSRT3SJhzS0RERCHHERIiIqIgCOQpGwrrDgln+yUiouCrqvkJACB8mu030BySE/VEK3bniIiIKOTCeISEs/0SEVHwxcV0AHBipMSqoMxlE8XCuENCRETUfLBDEhhesiEiIqKQi5gREl2Es1JGFxNsyNHQ5lhqOSZeV8aGGKWMlXhm+YYpa1Hoahk5IlwX7a2yEueuWWghPlrmT0y2fj+lmHM/Y+Hl908bkS8ts9nU91he5jDilDJW2lMrzAfVrjnudunNsGui42PQeGS5fJ4AmvMf3iPfdcdLjorXvefyeWk3Yr1uS1+PvC3d9A7ep0Hwh7wt3TGV90t37shx/Fa+v3SUuHRLn2v/pnKwMq2GFdam9HBJr/2J2tdsR55mQ1PGfHx8GPFgDknAIqZDQkREFEp87DcwPndIjhw5gg0bNmDLli3Yv38/bDYbUlNT0bdvX1x88cVo06bNqWgnERFRxDp/xVcAgJLj1egU4raEiuXu3Ndff42rr74a7dq1w1/+8hd89tln+OWXX3D48GFs3rwZ999/P9q3b4+rrroKW7duPZVtJiIialYE6i7Z+P2DqL5aA8DiCMmtt96KgoICTJw4EfPmzUPbtm215Y4cOYK3334bkydPRo8ePfD//t//C2pjiYiImicjoKdsPh51FgDggve+DFaDwo6lDklOTg5efPFFr+WSk5MxceJETJw4EXl5eYG2jYiIKGzwsd/AWLpkM3z4cNPr5cuX43//9389rx988EFs2bLFVGbIkCFe6922bRsuuOACtGjRAp07d8ajjz4KIaJ90IqIiCj6+HxL8KOPPoo//vGPqKys9Czbs2cPzj//fCxZssRyPW63G1dddRXat2+PjRs34pFHHsHs2bOxcOFCX5tEREQUWiLAe0h+/YnmG0l8fsrmxRdfxMsvv4wxY8Z4lr300ksYNGgQZs2ahWuvvdZSPf/973+xc+dOfPLJJ0hJSUH//v2Rl5eH9957DzfddJOvzSIiIgopXrIJjM8jJIcOHULXrl2V5eeeey727NljuZ7y8nKMGDECKSkpnmUxMTFwOp2+NomIiIjCnM8jJBdffDEeeOABvPzyy2jZsiUAwOl04umnn8Y555xjuZ5hw4Zh2LBhntdFRUV488038dBDD1mswYXq2v2eVwYMtIjLsrx9z3pSIqGcOGkt9VRlJZ1UTR7VJWl6T2KUE191bVaX6fbLSoKj9+RYNaXWexKqlXrlhElrqayapE9p2/q0RnN7dKmiDluC9FpNapXVGmp7aqT2uCwM2To0Sa02KZTJJp87moRO+Vi43FVKGSvnslxGl+JpM8yJpZbSSS0NX3s/v3Tk7etCrdRzTDp3NO0ThoVtK/XqjoX381T+vrJrzkH5uMvfF9bap6ZG6yjnk1CTrq1QP//ycde95+ZzUPvdLZ3f8j45q0ukOnxLiGUwWmB87pDMmzcPOTk5aNu2LXr27AmHw4HvvvsO7du3x/Lly/1qREpKCo4cOYLu3bubLgURERGFAwHAHYRLNlF8C4nvHZIOHTpg06ZN+Pjjj1FUVISKigr06NEDl112Gex29V9tVmzatAk//PADZs2ahdGjR+Ozzz6zsJYdcTHtPa/kf60SERH5Ij62o2l0prJqbwhbE338msumtLQUX375Jfbu3Yu7774bX331FSorK5GUlGS5jsLCQjidTgwaNAg9e/ZEz549kZqaikGDBuHnn39G+/btvVdCRETUTARlcr0o5vMFr08//RTdu3fHv//9b8ydOxdlZWX4xz/+gV69euGbb76xXM+yZcuQm5trWlZdXQ2Hw2G60ZWIiKj5q0tqDfTHpxmGI4zPHZK7774bU6ZMwdatW+Fw1A2wLF26FMOHD8fUqVMt13Pddddhx44duPvuu1FQUIA1a9ZgypQpGD9+POLivN8cSERERJHD5w7Jli1b8Ic//MFcic2GP/3pT/j8888t19OzZ0+sWLECH330ES688ELceuutuPzyy/Hcc8/52iQiIqKQC84ISfTy+R6SjIwMfP/99+jXr59p+c6dO9G6dWuf6ho5ciRGjhzpaxOIiIiaFxGkYLQofszG5w7JrFmzcPvtt+PAgQMQQmDdunV444038PTTT2PWrFmnoo1ERETNnps5JAHxuUPyxz/+ER06dMCjjz6KVq1aYcaMGejRowdefPFFy7HxREREdMKl6z8BAJQ6q9ApxG3xxcGDB/HGG2/g448/xmeffYaffvoJDocDqamp6N27N4YPH44//OEPSEtL81qXX4/9Dh06FEOHDvVnVSIioogUTY/9Hjt2DI8++ijmzZuHAQMG4LzzzsPo0aORkpICm82GI0eO4IcffsCGDRvwyCOPYPz48Zg5cybatGlz0jp97pA4nU7MmjULw4YNwyWXXIIbb7wRy5cvx7nnnouFCxciIyMjoJ20qu7hqBPDY7oYagP+BbX53BYrEdgW1rMSha4jxyjLcdL+0xxTC1H28lNrbrcmvl2OdZZin3XR8VbI9eqi0OUYakOK1gbUCG5dJLfDMC/TnW82P99TtR4zQ/NooD/njxzxXutW55ISUhmb4d9TcMr5bmHaAe00CMq0A7rpFKQy2mNjZaoEKxHvvrN2LOTXauS7C+ZodkNzyUA5d3Vx9xbi5OV6hFsTZS/Ht2vabOk7xAt5aodfty5tWxfhbyWCvuEy6zd0CAR2D8mqi84HAFz2n41+19GUhg0bhuuuuw7ff/+916iOY8eOYdGiRRgxYgS2bNly0nI+nwnTpk3DypUr0a5dO7z//vtYsWIF5s2bh7i4ONx+++2+VkdERERh5pNPPsFf/vIXU2dk//792Ldvn1K2ZcuWmDp1Kv773/82WqfPHZJ3330XL7zwAvr164cVK1bguuuuw3XXXYcHH3wQH3/8sa/VERERRYDoCkZrOFXM5s2bkZWVhfbt22Ps2LEnXcdma7zL4fMlm6qqKs/jvR9++CH+/ve/e5Z72xgREVGkCsbkeuHojjvuQJ8+fbB06VKkp6f7XY/PHZLRo0fjlltuwemnn46ysjJceumlKCgowD333IOLLrrI74b4SsCFqpqfAABxMR2abLtERBTZ6v+2WLm3hoAvvvgC7777Ls4+++yA6vF5SOP555/Hb3/7W7hcLixduhSJiYn497//jdNPPx3PP/98QI0hIiIKV9Ga1Jqeno68vLyA6/F5hCQxMRGzZ8/G7t270bVrVwDAn//8Z3Tr1i3gxvjCgJ0jI0REFHT1f1vqR0osieKk1pkzZ+Lmm2/GG2+8gXbt2nnmudNZv379SX/nc4fkk08+wVVXXYV+/fph9erVAIAhQ4YgLS0NS5cuRefOnX2tkoiIiMLUjTfeiIEDB2Lt2rU4dOgQXC7/LnX53CG58847MWbMGPzjH//wLNu2bRtuuukm3H777Xjvvff8aggREVE4i9abWgGgR48e6NGjh2mZEAIbN27EBRdcYKkOn+8hKSoqwpQpU0xDMq1bt8bMmTP52C8REUWl+mC0gH9CvSMWXXbZZfjuu++0v/v4448xbdo0ZGRk+PSwi88jJJ06dcLGjRvRu3dv0/KCggKfZ/sNJl3inpW0TzkxUZcM6a1eK0mDVhInhaHZB8iJjuq25HRE+XXdtrwPodmkxFJtAqY2/bDxbWmTbIPwqdPup4X3T6Z7/6wcdyv1xMCcbhkn1JTTBOl8irOp/8qySduPcXk/t+0wv592TSJttfuo6bVbm2xrZmge77dyXqjrqOek8pnQlbGUwuqdfL7rePsO0SaRWvk+sHC85G3rj5d5mf6zb+UzKx13K9+Dfh53K58tNY3X/F7ZtEmtEgvnsrfvZV+/psL1plR/fPnll3j//ffRtWtXGIaBjRs34q233sJbb72FAwcO4KKLLsK9996LK6+80nKdPndI5syZg+uuuw7r16/HeeedB4fDgcLCQrz22mt45plnfK2OiIiIwsz8+fMxZcoUPPXUUxBCoKysDFdeeSWefPJJjBw5Ei1btvS5Tp+7uL/73e9QUFCApKQkvP7663jxxRdx5MgRrF69GpMnT/a5AURERJHALYyAf8LFyJEjsWvXLjz//PMYOHAg3G43tm3bhm+++eakl3K88WmExOVy4Z577sF9992H+fPn+7VBIiKiyBOsHJHw6ZTYbDaMHj0ao0ePxi+//IKlS5fizTffxJw5c9CuXTtceeWVuPLKK3HppZdaq8+Xjdvtdnz44YfYtGmTX40nIiIi1ZjP12HM5+uwr6oy1E3xS+vWrZGbm4v3338f+/btw8MPP4xdu3bhiiuusFyHz/eQ3HHHHbj99tuxZ88e9OzZE4Zh7s1dfPHFvlZJREQU9qLpptaGFi9ejEsuuQSpqakAgOTkZEyYMAETJkxAWVmZ5Xp87pDU3ydyxx13KL8zDMPvQBQiIqJwJURgOSRLzh0OALjmv2uD1aQms2zZMtxxxx3Izs7GyJEjcfnll+M3v/kNAKBNmzaW6/H5pla3233SH3ZGiIiIosuSJUuwf/9+/P3vf4fT6cSkSZPQvn173HDDDfi///s/HD582FI9fj1IXl1djV27duGHH37w/KxZs0bJJjmV6mf79WmuASIiIi+qa/ejunY/4ONsv9E6uR5Qd4PrhRdeiEcffRSFhYXYunUrfvvb3+Ktt95CdnY2zj//fMyePbvROny+ZLNq1SqMGTMGVVVq6MzQoUN9rY6IiCgihNNju6daeno6Jk6ciIkTJ8LlcuHjjz/2OrWMzx2SmTNnYvz48ZgyZQquvvpqvPnmm6ioqMCdd97ZpMFonO2XiIhOhVhHOwD4dZSEvOnSpQuEsJZr+8QTT5z0dz53SLZt24ZFixahd+/e6NevH/bv34+RI0fivvvuw7Rp0/DRRx/5WqVfBMyxv1aijnVl3O4acxkrkc5+xIq73d5jzoVb3bbDluC1bjU+ukZTSq5bbbMcx6zbL5eoNm/bUtS+LqJb18bGWYm3thKRL9MfLzOXJoa6Vtovh6HGwscK8/uXJOKVMokxdum1ro3mf3k5XWqhcrd5WxXy+6l5z5VzUHNM5fX00zSYy9igtk/93Kix7Gp0vPq5sXIuWyG32WGonzW5jDJNg4Xt6M5JXcS7N/rj5ZJeqy1yCfO5q4tdV84DXSS+PGWG5vvBENIyPwcMvH3H6r4Xlc+x5rSQP8e6z7WZb+HxIowyRIJp8uTJeOKJJ3DTTTfh3HPPhdvtRkFBAebNm4dp06ahS5culurxuUOSnJyMffv2oXfv3ujSpQu+/fZbjBw5Ej179sRnn33m844QERFFgnC+ByQQS5cuxbPPPotx48Z5lo0bNw7dunXD66+/7vXekXo+d0jGjx+PiRMn4oUXXsCQIUMwbdo0dOrUCUuWLMEZZ5zha3VEREQRIVrvISkqKkL37t2V5eeeey7uuusuy/X4Nble165dIYTAFVdcgTVr1mDixIno2LEjXn75ZV+rIyIiojD2m9/8Bo899hgWLFiA1q1bAwAqKirw97//HX379rVcj88dEsMwcPPNN3teP/vss3j22Wd9rYaIiChiiCDNZROO96G89NJLGDNmDNLT09G9e3fExMRg+/btSExMxKpVqyzXY6lDMmzYMPz5z3/G6NGjvZZ1u91455138Nxzz2HdunWWG0JERBTOovWSzRlnnIHCwkJs2LABX331FY4fP47OnTtj9OjRSEjw/mBGPUu3p7/wwgtYsGABOnfujD//+c9YvHgxPv30U2zfvh3ffPMNNm7ciJdffhm33norMjIy8NZbb2HRokX+7hsRERE1orS0FKNGjUJSUhKys7OxePHik5adPXs20tLSkJycjEmTJqGy8sQEfvv27cOYMWPQsmVLtG7dGuPHj8exY8d8bo/b7UZlZSVqa2uRlJSEDh06+NQZASyOkHTr1g3vvPMOtm7dipdffhmPPvootm3b5nnuODY2Fv3798cFF1zQ5ImtREREzUFTPmUzduxYJCYmIj8/H0VFRZg4cSKys7MxYMAAU7mFCxfimWeewaJFi5CamorbbrsN06dP99xqcf3116O8vBwffvghjh49ismTJ2P69Ol48cUXLbdl9+7duPLKK7Fnzx6cfvrp2L59O9q3b49u3bphyZIlaNu2raV6fLqHpH///ujfvz+Aut5QWVkZamtrkZqaCofD59tRiIiIIoa7ie7/KCgowKZNm1BcXIy0tDT0798fq1atwvz585UOydNPP417773Xc8vFnDlzkJOTg7lz5+LQoUP48MMPUVBQ4Pnb/re//Q233XYbnnvuOdjtavaNzi233IJevXrhs88+Q3FxMfr27Yvi4mLcdNNNuO222/Dmm29aqsfvXoTNZvNMNUxERES+y/1ypen1garj6ORlnfz8fPTp0wdpaWmeZRdeeCGeeuopU7nDhw+jqKgII0aM8Cw7//zzUVFRgc2bNyM+Ph4dO3ZEr169PL9PTU1FVVUVDh8+bPlvfH5+PvLz85GQkOC5cmIYBu68805ccMEFluoA/I04JCIiohOEf5Pr/Ro7fuLHgt27dyMzM9O0rEOHDti3b59p2d69eyGEMJVNTExEq1atsG/fPpxzzjkoLi5GbGxs3S4IgUWLFqFjx44+DTi0bdsWe/bsUZb/9NNPSExMtFxPRF9nEZBjldU4ZG9R8bq4bTnG2ErcvD7m3Bx1bGjituU4ZF0kt8tdLS3x3h67TY05t9nMdVuJYdcdH5vN+2klt1A+FtptS6Oh+vb5EyuumVJAfm/kSGyo73uMocbCt3QlmV6fFhOrlEmONe/YaXHqt5LLbS5T7VaHUo9Wmrd/FC1Mrx1GubKOMl2AheOli9q3S7H5dpu6n7roc7Vuc6S6dmoCZQoBNYbdJsX66+LSlXVsuikO5G2bt6U7XkosvOaPjBJJ7/Y+3YNuCgZ5P3Xkug2b5jtNnh5AM8ut/HnTvZ/ycdZ/78kx9Zoy8r5bOC+V7zTNqeNCpbmIkL87AfN3hvXoeAH/nrKZ3+dK0+uJX63wuk55eblyw2hSUhIqKiqUcgC0Zet/V6+srAyTJ0/GO++8g9dff91y+4G6SzZ/+tOfIIRAnz59IITA8uXLcffdd+PGG2+0XE8Yd0hcqKr5GQAQF9M+xG0hIqJI4XbXP2Xi21w2TaVVq1Y4ePCgaZnT6URycrJSDgAqKys9oyD1ZVNSUjyvV69ejdzcXFRUVOC1117D2LFjfWrPfffdh8TERCxbtgx9+vRBbW0tbr75Zlx//fWWY+MBPzskZWVlcLvdSE1Nxddff40PP/wQ55xzDi688EJ/qiMiIgp7TfWUTXp6OvLz803LSkpK0KlTJ6Vc/e/qE1SdTicOHTrkKfvqq69iwoQJuOSSSzBv3jxkZGT41aZp06YBqLvsU15ejvh4dcTYG5/vIVm3bh0yMjKwcuVKlJSUYODAgfjXv/6FSy+9FPPmzfO5Af6zIy6mPUdHiIgoqGy2lrDZWsLX6YrdQfixYtiwYfjiiy9QVlbmWbZu3ToMHz7cVC41NRV9+/bF+vXrPcvy8vI8y8vKynDbbbfhxhtvxHvvved3Z2Tnzp0YNWoU+vXrh7lz5yI+Ph6bNm3C2rVrfarH5w7J9OnTMWPGDNx44414/fXX0a9fP3zzzTeYN28e5s6d62t1REREEcD3G1q1N7la6AT1798fZ511FnJzc7F161Y8/vjjWLZsGW655RZUVlZi586dqK2tu5dp8uTJeOihh7BmzRp88MEHuOWWWzB16lQYhoGPPvoITqcTt99+O77//nvs3LnT81O/vhUTJkxARUUFrr/+ejz++OPIy8vD7t27ce211+LJJ5+0XI/Pl2y+/fZbXH311TAMAx9++CF+97vfAag7QCUlJb5WR0RERD56++23kZubi8GDByMzMxNLly5FdnY28vLyMHToUOzatQtZWVmYMmUKSktLMW7cOAghMGHCBNx3330AgF27dqGmpgZnn322Un/9+lZs3boVGzduRL9+/VBdXY01a9bgscceQ2JiIu68807cfffdlurxuUPSuXNnbNq0CS6XCxs2bPCMiqxfv97v4R4iIqJw15Rz2WRkZGgviQwZMsSTBQLUZYbNnj1be3PpPffcg3vuuSfgtvTu3Rs//fQT+vXrhzPPPBOvvfYaAKBr167Ko8iN8blDMmfOHFx77bVwOp34/e9/j969e2PGjBl46qmn8O9//9vX6oiIiMJeXYxIMGb7DT9PPvkk/ud//ge9evXCb37zG8yYMQOHDx/GkiVL0LlzZ8v1+NwhGTVqFH788Uf8+OOP6NOnDwDg0ksvxfXXX29KeyMiIqLIt2jRImzdutXT+TAMA6eddhoMw8DChQst1+Nzh2Tv3r0AgJSUFBQXFwOom3q4/nfyY0dERETRoCkv2TQnS5YswTPPPIOuXbt6lhmGgS5duiiJso3xuUOSlZUFwzj5QXe5vKd7BoMBw5QKqEvtdAk5qVV9qEpOTLQbasKkTE5iVJIZNXRJkWr71LRGt5CSDy2kGurIKY+6pFY5DVGXyCnT7ZeVxEvhktM2zdu2kuqpK+N2S0maFr4frJwX+u2by8RCnWq7lZRgmhKr1ts+3jxIe1qcej5VSUmtTrd63A9UmZfFCXMOgN1C0qeheT+Fcn5rjpf0/unOL/k4u9xVShkr55xSr649hnw+6RKXLSTHSimnSpKspr3yfuq2bYN6fPwhJ+L6mxotv3+6Y6O8X5rvPaUeC0nXuu9P+ftc/n7QMWBus24f5O9BQ/d9qk1vtcYdjtdbguDYsWPeC1ngc4dkx44dptdOpxPbtm3Dk08+iTvuuCMojSIiIqLw0KVLF9ONtLJdu3ZZqsfnDkn95ZmGevXqhYsuughDhgzBuHHjfK2SiIgo7AXjptZw9Ne//tX0un6g4rXXXsP06dMt1xO0uWxiY2O1s/0RERFFOiGCcw9JIwMNzdZNN92kXT548GC89NJLuPfeey3V43OH5G9/+5uyrLKyEh988AEGDx7sa3VERERRb9r2twAAh2oqkIS2IW5NcGRlZWHTpk2Wy/vcIZEn9AHqRkeGDx+OGTNm+FodERFRRAjH0Y1guP7665Vl1dXV+M9//oOBAwdarsfnDknDSXpCSaAWzuq6qPr42I4hbg0REUUKt6j89b9862G4A7iH5Knu1wAA7vr2Tb/rCJWYGPPTS263G6WlpTh8+DCee+45y/VY6pC89NJLuPbaa5GUlISXXnqp0bInu5ZEREQUyUSU5pCcrF/wzDPP4M4778SaNWss1WOpQ/Lwww9jxIgRSEpKwsMPP3zScoZhNFmHxICDIyNERBR0NqMuU+jESAn54+KLL7Z8QytgsUPS8Bliq88TExERRQ8jSEmt4TfKsmDBAmVZTU0NlixZgu7du1uux1KH5JVXXrFc4Q033GC5LBERUaSI0nta8fjjjyvL4uLi0KNHD7zwwguW67HUIWk4OY7b7camTZuQnJyMXr16weVy4auvvoLb7cZll13WpB2ShrHXNa4K5fdyRLLDFq+UcdhaSOuYI4v18da+R8XrIpTl2G5dbLa8LW1Uu7xMU8ZKpLMVclS1Lp5Zbo+VaHYl9ll7vKR6NRHYwjAfQ39j4XXx6DI5ij1GEwceazPvV7JmZoK0BHNUdZtY9Zw77jLv+9Ea9bjH28z7ZXObX1uZYkA+JwHdkfA+fYG/EeZWjjssvH9KfLtNEyMO78fHW1S8WxczLuRpEax8zVrZJ+/Tcjjs6vQF8neYHIcPWJvuQW2P7syQpm6wsF/66QLkY9j467pl5uOj27b8N0BopgqpdZ+4TON2OTVtI9l3330XlHos/VVav36956d///649tprUVxcjLy8POTn56O4uBiXXnopevToEZRGERERhROBumC0QH/CZZTlgQcewIEDByyX379/v5LoKvP5n8mLFi3C3Xffjbi4E/8aTEpKwowZM/D888/7Wh0REVFEcAfhJ1xkZGRg0KBBuOGGG7B8+XKUlpYqZYqLi/Hmm29i3LhxuPDCC9G7d+9G6/S5Q5KQkICCggJleVFRUaOzABMREVFkmDhxIoqKinDOOefggQceQEZGBlq0aIH09HSkp6cjLi4OmZmZmDNnDs477zx89dVXGDt2bKN1+hyMdtddd+GOO+7Azp07MXDgQBiGgU8//RT/+7//i/vvv9/vnSMiIgpn0ZZDkpCQgGnTpmHatGk4cOAAvvrqKxw8eBButxvt2rVD//79kZKSYrk+nzsk06dPR/fu3fGPf/wD8+fPR01NDbp3745//etfnOmXiIiiVnAe+w1Pbdu2xcUXXxxQHX49anHllVfio48+woEDB3DkyBF89tlnGD16NN5807fI23379mHMmDFo2bIlWrdujfHjx+PYsWP+NImIiIjCmM8jJE6nE0888QS+//57iAYzCR04cAAff/wxrrnmGst1XX/99SgvL8eHH36Io0ePYvLkyZg+fTpefPFFX5tFREQUMgLBySEJl6dsTgWfR0juuOMOPPfcc/jll1/wxhtvwGazobi4GJ988gneeusty/X89NNP+PDDD/Hcc89h0KBBuOSSS/C3v/0NixYtgsvl/Xl7IiKi5iQYj/1GM587JCtWrMCiRYuwbNkyDBo0CFOnTsW6detw/fXXY/PmzZbrKS0tRceOHdGrVy/PstTUVFRVVeHw4cO+NouIiCikoumx31PB50s25eXl6NSpEwDgjDPOwPbt23HOOecgNzcXV155peUnbc455xwUFxd7XgshsGjRInTs2BGpqale1xeoxfHqPQ3WdyMupr2pjJzUZ7epSZpyaqechqhLZZXL6NJKlWRUTbqkXMYG72mJ2gRTKWVRl+Yqpypqkw6V/fKeLqujpluqI17KvmvarGzbJk9xrSY8Gkr7dKNtVo6FeZn6DltLoZRLtHSo2zotzpyk2TJGTf+015oHchMd6rkcbze30uYyb92tPRZmVt4Ht1CTZOU0UCvnqa6M/P5Z+ReTLjHUSiqtWo/346N8jrSpzVJKrGYMXijfD963pfs8KknOQv18yt9PLrd6fgm3eVu688BKsq1yDLX7JR9n758/+fjo3iv5mFoh/004XrXba9tOlQd2LQYAHK4pRyt4/xsYiXx+B/v3749FixahpqYGZ555JtauXQsAKCkpQUWFGt9uRVlZGa655hq88847ePLJJ/2qg4iIKGRE3WO//v4E7SaUMObzCMncuXMxZswYxMTE4LbbbkPv3r2xefNm7N69G7m5uT43YPXq1cjNzUVFRQVee+01r8Ep9QwjBolxnT2vdXPZEBERWdUiLss0t46zusSn9QMZT5nZ+Y8AgId3vRZALeHN5w7JgAED8OOPP6KqqgpxcXEoKCjAihUr0LFjR5+esAGAV199FRMmTMAll1yCefPmISMjw9fmEBERUQTwqUNSVlaGmJgYtGzZ0jOXTZcuXXDnnXcCAD7++GNccMEFluu67bbbcOONN2L+/PmMnSciorAlEJyk1mi+amOpQ7J7927k5ORg69atAIDLLrsMzz//PO6++24UFBSgpqYGtbW12Ldvn+VHdj/66CM4nU7cfvvt+P77702/y8rKgsPh8+ANERFRyLijuTcRBJb+6k+bNg3V1dV47bXXEBcXh3/+858466yzkJaWhqlTpyIlJQWGYaB169aWN7xr1y7U1NTg7LPP1v4uKyvLcl1EREQU3ix1SP7zn/9g9erVGDhwIIC6+0gyMjKwYsUKXHTRRX5t+J577sE999zj17pERETNDQdIAmOpQ/LLL7+gbdu2ntcdO3ZEbGws2rdv38haRERE0SJYSavRez+lX5PrAeBNqERERBQ0lu8c1XVA2CkhIiKqE+3R74Gy3CG555570LJlS8/rmpoazJgxQ7mR9aWXXgpe67wwGgR6a2Ph5XhmbQC4mRp7rp5icny6NmLdUky2uT26KHQ5ntlKBL1uP+V6dNtSYqh1EfSGHJ2tPlWli9v3RnecvdEeCyHHW1tpn7ptQ/po6N4/u3Qe2IV6vFzSVWWXUOuJsZm33yJWjWY3DDk6Xt2vFlJ0vN3C+a5uR7efsabXbpd67liJ45fPOZdQI8xlNkP9XKt1q8dCPnd171/DAKy615ppIrz8idFOH6BsWxPDrjnO/pSR2yxH+OvqsfLe6HZLPqY2P/dL3rrusy/XY2VKA3m/9PH33j8TVqbH0G+fj/0GylKH5KKLLsLBgwdx8OBBz7ILL7wQZWVlKCsrO2WNIyIiChccIQmMpQ5JXl7eKW4GERERRbOwTR8TogblVTsBAElx2SFuDRERRYr6WX8FfLv8LKL5eksQhG2HhIiIqDlxR/Eju8EQth0Sw4jhyAgREQVdi7gsACdGSprC08WvAAB+qT2GZJzWZNttTsK2Q0JERNRcCAQ2lw2v9rBDQkREFDgR2D0k0zrcAAD4R8krQWpQ+PE7qZWIiIgoWDhCQkREFAS8qTUwYdshMQDYGyTx6RI5ZdrUTjk9Uko61KUaatMZvZTRpf/JSZFW6tGR2+gSalqjvF+6REcraZvC7T36R61bt468X3IirXq85FRYXbKmeky9v3+6UVZDSnnUJQHHGi1MrxPcCUqZeId5Ww6burVYu3k/dEmtNiWpVd33xBhzomrS8XhzW2xJyjpO21HzAs1b5S2tVEebvGvIZbx/Zi0lE+uSkqX3T/dZc7mrpTLqcfeWOmxIKbYAYJPOFX1iqLnNte5KpYyQtq2fqUNKe9a0V01yVo+XQOPfgwBg2KTvNJv6GbXyfaV8F2nKeDs3LCU7a467muCrJrda+V4+ebv8XpXASzZERETUDITtCAkREVFzwuj4wLBDQkREFKBAH/ttWE+0YoeEiIgoCKK5MxEMvIeEiIiIQo4jJEREREHgFnzsNxDskBAREQUBH/sNTNh2SNyiBked2wEAreJ7hLg1REQUKeon1RNoPIeGgitsOyRERETNCR/7DUzYdkhsRgxHRoiIKOhaxGUBODFSYoVAcC7ZRPNVn7DtkAgAbh/7o7q4YSUqXiqjizCWY5bthhoZLsdZ6+KIrUQUy1HQNs1bZhjm+GNd7LO8zC2qlTJqJLf39gjNPliKdfYSU2/XRMdb2Y4ct20l+t+mif922MzvaYxNfY8T0Mr0uq2hRrO3jzdvq0OCGhHeLskc356WelApU+k0b/9oVbxSJlWKij9NipI/4EpW65Wi43UTCuhizb3RTjtg6bww031G5GkYdNHsVrYtt1HbPjmK3ZA/I5roeKk92uh46TNr002DYGGJ/P2knUJD+Qvn/X2QP0eAeh7EaCL7dVMsKHXbpO1rmuOWLpXI31+6qTjk70ZdjL7dMLdP97muadgefV7/KbFg/yIAwDHXMZyG05psu81J2HZIiIiImhNesgkMOyRERERBEEhS641tJwAAXj6wKChtCUfskBAREQVBNN//EQxMaiUiIqKQ4wgJERFREARjcr1oxg4JERFRgIQI0mO/Udyp4SUbIiIiCjmOkBAREQUBH/sNDDskREREQcB7SALDSzZEREQUcuE7QiKEKU5YF5cux7froqHlOGQ50ll+DQButxyfrgl5lmKL3W5ddLxURhOTrdu+TI6mFoYaH+2SQsHl+PS6bcnHS61HjpwXmgh6md3WQllmkyKc5W1bidu2QlePvG27TY3/jrGbY+AT7ClKmWR3sul1hwR1W72Tzce9T7tSpUzXnt+ZXidm7FfK1JZLUfYO9Vwprzbvx36nOdr+0FF1HyrsR0yva3BcKSPTxYOrUzCo546V90+OLJfPC+06FqYH0EfZe5+6QRcN7yv9FAfmZbr9NGA+Xv5E7wO6aSJ0xys4fwq00fXKtqTPuk2NgTeE9P65ve+7tXNFjtoP7kUWDpAEJmw7JAK1nomP6idCIiIiClR51U4A1jqt9QSCc8kmmjs1vGRDREQUZkpLSzFq1CgkJSUhOzsbixcvPmnZ2bNnIy0tDcnJyZg0aRIqK9UJM7ds2YLTTz/9VDbZq7DtkBhwoEVcFkdHiIgoqJLispEUlw3DwqzjDdVnkQTyY9XYsWMhhEB+fj5mzZqFiRMn4vPPP1fKLVy4EM888wwWLFiA1atXY8uWLZg+fbqpzN69ezFjxgyf9vVUCNtLNkRERM1JUz32W1BQgE2bNqG4uBhpaWno378/Vq1ahfnz52PAgAGmsk8//TTuvfdejB49GgAwZ84c5OTkYO7cuYiLi8PNN9+MBQsWAAA6duzYRHugF7YjJERERM2JW/j+8/bhRaafCvcxr9vJz89Hnz59kJaW5ll24YUXYv369aZyhw8fRlFREUaMGOFZdv7556OiogKbN28GAMycORNbt27Fgw8+GKSj4D92SIiIiMLI7t27kZmZaVrWoUMH7Nu3z7Rs7969EEKYyiYmJqJVq1aespmZmejXrx86dep06hvuBS/ZEBERBYE/T8j8PnmC6fWyI4u8rlNeXo6EBHMUQFJSEioqKpRyALRl63/XnHCEhIiIKED1j/0G+mOlU9OqVSvlSRmn04nk5GSlHABt2ZQUNZco1NghISIiCiPp6ekoKSkxLSspKVEuu6Snp3t+V8/pdOLQoUPN4hKNLKIv2dS4zMNXcgokABhSkqcu2VMmJ6HqElZrpcBCa0mRwekf6pI0ZXJKrG6ZW5N+Kyez6o+pvB/qfsXYE02v5TbrjqncPm2aq1SvjrxenL2VUibRnmp63VK0Ucq0Nczb6pSovse9Us2pq917b1fKtPrNj6bX7s6ZShlHtfm96JRSqJSpqjIfwwNVXU2vj9bEK+scc6aZXh+3HVbK1Aop5dfm/TzVJSerdJ8JOVVUk5RqWKhZeE9Tls9LXWKokoJsIS3VSkqs2j7vyba6R1Dlbek+N8px1iXHGvJnSz3uNguPwMrHR7fv8jG1Qa3XDfN+OCx8Ncrt07XXbuH73Uri68n48thuIIYNG4b7778fZWVlaNOm7rtp3bp1GD58uKlcamoq+vbti/Xr1+PMM88EAOTl5XmWNzcR3SEhIiJqKk312G///v1x1llnITc3Fw888AA++OADLFu2DEVFRaisrERJSQmysrLgcDgwefJkPPTQQ8jOzoZhGLjlllswdepUGIaFnn0TY4eEiIgozLz99tvIzc3F4MGDkZmZiaVLlyI7Oxt5eXkYOnQodu3ahaysLEyZMgWlpaUYN24chBCYMGEC7rvvvlA3X4sdEiIiokAJwB2MazYWq8jIyMDatWuV5UOGDIFo0A6bzYbZs2dj9uzZjdY3YcIETJgwwZeWBh07JEREREEQzRPjBQOfsiEiIqKQC9sREoFaHK/aDQCcYI+IiILmmPM7ALonIU+uPockUNE8yhK2HRIiIqLmRER1dyJwYdshMeDgyAgREQVdy/huAE6MlFgVjBGSaMZ7SIiIiCjkwnaEhIiIqDlpqmC0SBW+HRLDMMWNW4lM1sUY26V4YX9i13Wxz24hR2erg1E2w7wtfyOLrcQ1yzHUduk1ALhd8n7JMd6AfEx1bTYMc0S57pjKy+T3Qfd+ysdZV6/cnlpXpaaMed9jbC2UMnJUfHuRqpQ5PdH88emUeFwpk5n+k7nes/YqZWr79je9rs44WykjS3CvVJZ13LPH9Lp7mbnNpZXtlHX2OVuaXh8x1DKQTpVaTSy8fNzlSHMAcEnnk276AvXc9V5Gty2ZbpoBu80cj66LhdfFyTeki8iX91M7xYHUZpfQnKfCXMZuS1DKKOtoPtd2aYoDl7tCKSN/1rVB+4Y8vYPmvRHevx+EtO+6NnuLgXcp36/qeaGLiXdY+H5v+N4YVuYpaNiGAHJI1lX8PwBApTgG4DS/6wlnvGRDREREIRe+IyRERETNhEBgl2yGJF4PAFj/60hJNGKHhIiIKAgCuWRDvGRDREREzQBHSIiIiIKAT9kEplmMkGzZsgWnn356qJtBRETkJwG3CPwnmsPjQ94h2bt3L2bMmBHqZhAREVEIhbRDcvPNNyMzMxNr164NZTOIiIgCJoLwv2gW0ntIZs6cidtvvx0rVqzAv/71L5/WFaLGPM+AEIiP7RjkFhIRUbQoO/6l6bVbGw6pF+hjvw3riVYh7ZBkZmYiMzMThYWFfq3fMEXPDbcmOdA8AOSwJUKmS1FsyO22Pv20uV7vKaxyWqOujJxQqEthrXWbUx6tpM3qEiblJFTDiFXKyKeM7vjJ++7QJEzavAzOyfsNAG7D/P7q0lwNKVbUSkpsrKEmtbZwm8+V9Fi1ni5J5uN1etJRpUxSinmZcZp6Dta072Z6bWvVVSkjXE7T69r0LKVMi8ytptfpO8pMrzseSVHWOdDC/B47K9RO/U9283t1zHZIKeOAlOJpS1LKHK85YC4DXeJrvPTa+yCuNmFVOi8ddu8ppzryd4qV7wP5c2Ttj5RaSsjbFrrkUe/7JX8/6EnHWXNMa12/mBdo02/N7XFI76eOgJp0LX+O5TK6dF75+6DGwn5bSW71hTuquxOBC9unbGxGLFonnOl5LX/ZERER+aJNi75wN+iMHaksCmFrok/YdkiIiIiaEzeD0QLCDgkREVEQRPtNqYEK+WO/RERERBwhISIiClDdUzaBj5BE8xgLOyRERERBwKdsAtMsLtlMmDABxcXFoW4GERFRSBQ4l6DAuQRVojzUTQkZjpAQEREFLNCkVY6usENCREQUBIFcsjkr/hoAwBfON4PVnLDTLC7ZEBERUXQL2xESIdyodp241qaLMDds5v6WLnZdXiZHQ6tx9Gpssc2mi083LzMMu1JGjWpXy8jR2brIZGGY65Hr1dFFx8vx1TZNrLKVuHs5ml0XAy/vq1yvw9BEOkubqnGp11rlfY+1q1HtCXZzhHpL0UYpcxrM67XXJHS3TzDHubdt9YtSJi75mHmBQ3MeSOdKQlw7pYzLZX6/apLUNse3M5+7bdPM6cWZh9oq6xypMdcjhLqjMZWnm16XGmqZasMc033cUGP0ax3mfbDZNOcFvH9m5XNX+xlVPjfqcZdjw2u1nwk5vt38Wtc++XPkclufD6UxunlVBOTPmu4r3Xt4vTJNhOaYyts3oCnjNh93l/b7ytwe3fQObqlu+XOtmy5Afs+102wI83tc69JNoeHW/rc3AoDbCHw2m2i+cBO2HRIiIqLmhE/ZBIYdEiIioiDQj5iRVWHbIRGoxfGq3QCAFnFZIW0LERFFjvq/LUJzWYpOnbDtkBARETUnvGQTmLDtkBhwcGSEiIiCrv5vS/1IiRUCIkg3tUZvp4aP/RIREVHIhe0ICRERUXPi5k2tAWGHhIiIKAjYIQkML9kQERFRyIX1CEnDZ751KadyqqKV1FU57c9ukxIMNdvSJaPKCX+6xD8riaZuYU7f1D3nLq8nrwOoaZH69FTv/VMrSa1yGbsmPVJeZoPaHplNfm80+yAnvMYZSUqZ1iLV9LqtSFbKdEgw190qRj3uCQ7z+ZQQ71TKGDbpBrVq9b1x/FJiel0Rt0UpAykNOPa4mgoLh/n4JLU9bHqdeZo5uRUAfqmKN70+Xqsm28opnsnV7ZUyxTVSaq76cYTdbj6mLrvmPJXO3RpRqZSpNczpmi6hS1j1Tt6WNnVYSkKV96vGVaGso6S5ahJWle3YWqgL5eRRzfdXjcucBKxLarXbzMm6dqhJuy63+Tjr02+l9GldCqv0/VTrVo+PvF6tW32Pdd9PjW3n14VSHZo/bxb+CV7rOtEe324wFUHKIYnem1rDukNCRETUXATjKZtoxg4JERFRiO2qWANAPyoYLdghISIiCpBAYDe1Ru+FmhPYISEiIgoCAe8zrZ9MZuLFAIA9FeuC1Zywww4JERFRwESQHvuN3rESPvZLREREIccREiIioiBgMFpgwrZDIlCLyqq9AICEuE4hbg0REUWK6tr9v/6X9XtCBAK7h6RhPdGKl2yIiIgo5MJ2hMSAgyMjREQUdLGOdgAajpRYwZtaAxW2HRJAwO0+Ef1sJX7YYYtXysjx7TKXW42lbrhd4CTx6YYcsa5maasxy8eVMt4ilHVttNk0kep2NS5a3Zbvp4MuEl9us27f5aj4GMP83uhiqWOkGO84TQR2DMwx50kuNZI7xW7eVssYtX3x0qJYu/olYTfMyyqd6vl1/ECyuX3fH1PKxFblm1+3LlTKwC0d58NqPbU/m49PdYX5+AhhKOskxZhjzdPi1c9Drdv8XlW71XpS3ebjHONS4+WP2swx4scNdR+qDPPn2KY5d+Js6nQAslphjvGv0ka8S9MyaM5lb1HgMXY1al/+HOli2NXpJrz/IbNpvquEMk2EJs5dnsZCuy35+0ozZYb8Wvt94X3KDHn7QqhTLsgx+fL3qZV63ZpjIUfky7H6gPn9U8/0xgUnOj568ZINERERhVwYj5AQERE1H+4g3NQazdghISIiChhn+w0UL9kQERFRyHGEhIiIKEACgFu5Wdm/eqIVOyRERERBwKdsAsMOCRERUcBEQEmtZce/BAC4RbWXkpGL95AQERFRyHGEhIiIKAjcmsA2q5ITegMAjlQWBas5YSeMOySGKZE0wa6mN8rpfrrU1VqXOblPXkeXlCoM80mnSxWVyamQOlbSXHVpqg6HhRTWIA2GOaS0yBhDTUKNhXmZQ3Oa1UB9LxqKh/p+JruSTa9bGWpyZbzNfAxjYtSsxUSHTXqtbr+V94BcHK4yb3/3obZKmQopvTWlNE0p06KFOaHXEaMme8qqqtR9Ly83p4YeqTAfw/IqNUm2ota8oy7NHXUOm3lhgl09pnE287I4t3pQE93m89ShOd/daG1+bahf8FWGOdnTiXKljPI5tqtvaLXbvF6NUNOevVETVwGHlP7pLQ0a0CdNy3XXutVEUyvcovHPWh3peGnaLCdd69JS5f3QplirLfTaOnlb+nrN55yc9gqol0PcrsYvj/h6TwjvIQkML9kQERFRyIXtCIlALSqr9gIAJ9kjIqKgcbvr5z7y5SFcoR0x8130Pvgbth0SIiKi5kIAQZntN3q7I2HcITHg4MgIEREFnc1Wdz/WiZESagph2yEhIiJqTnQ3+pJ17JAQEREFQSDBaMSnbIiIiKgZ4AgJERFRoIQIziUbEb23tbJDQkREFAQMRgsML9kQEREFgRCugH+sKi0txahRo5CUlITs7GwsXrz4pGVnz56NtLQ0JCcnY9KkSaisrPSrnlMtfEdIDEMbo96QPHwWq4mXh7TMJUW8+xu5HmMzx6frbnaS5z1waKLQ5R63rh4DagS3zC5F4DugbssOcxndvlt5zj4O5ujsOKFGlie4zTHrcdKpGKOJFY+3m5fZDTWEOkZa1sKhlkmQqo7RvMVyhHpFrVqoxm0+hj8eV/cTZSmml3ZDHY51CXMbqzWHOMFuXs+hqafGre5rQ1Wa31vZdrV0yukGlJOVg6h+NmNc5jJuoZ6Dx6XPXznUSHW7cq54j2bXlYmXPvs1djViXf4+kD+P8u+tqpXi3HXfZUL6/MU51H3QTW0hk6fM0MXUuzUx697K6C5PyO1x2NVpLfyZasPlNke860YihLSOPl4+Vlqia4u7wX8d1/y+eRg7diwSExORn5+PoqIiTJw4EdnZ2RgwYICp3MKFC/HMM89g0aJFSE1NxW233Ybp06fj2Wef9amephC+HRIiIqJmI0j3kFiIRisoKMCmTZtQXFyMtLQ09O/fH6tWrcL8+fOVjsTTTz+Ne++9F6NHjwYAzJkzBzk5OZg7dy6+/vpry/U0BV6yISIiCpBA3ciNrz/Omp9MP1YeHc7Pz0efPn2QlnZiss4LL7wQ69evN5U7fPgwioqKMGLECM+y888/HxUVFdi8ebPlepoKOyRERERhZPfu3cjMzDQt69ChA/bt22datnfvXgghTGUTExPRqlUr7Nu3z3I9TYWXbIiIiILAn0s2sY52ptfVtfu9rlNeXo6EBPP9OUlJSaioqFDKAdCWLS8vt1xPUwnbERIhalBRtQsVVbtC3RQiIoogta4jqHUdAXx8jNefSzbyjxWtWrUyPSkDAE6nE8nJyUo5ANqyKSkplutpKmHbISEiIopG6enpKCkpMS0rKSlBp06dlHL1v6vndDpx6NAhdOrUyXI9TSVsOySGEYPEuM5IjOsc6qYQEVEEcdiT4bAnw7c/kSJIOSTen7IZNmwYvvjiC5SVlXmWrVu3DsOHDzeVS01NRd++fU03qebl5XmWW62nqfAeEiIioqBomqTW/v3746yzzkJubi4eeOABfPDBB1i2bBmKiopQWVmJkpISZGVlweFwYPLkyXjooYeQnZ0NwzBwyy23YOrUqTAMo9F6QoEdEiIiojDz9ttvIzc3F4MHD0ZmZiaWLl2K7Oxs5OXlYejQodi1axeysrIwZcoUlJaWYty4cRBCYMKECbjvvvu81hMK7JAQEREFQXCC0azJyMjA2rVrleVDhgyBaDBBn81mw+zZszF79myf6gmFsO2Q2OHAaY4untcOza7IUeh2oZZJFOaId5dhDqWpsHl//ClGyHHEgAvmmOUYJbIYiJOWuTWzPMZKbY63EBXtgCZCXKo63qZGs8sfJaFpj8NmvqaqSWZHldu8nkt3TdTLpdkqzZwO5S45xlut1y0tc9dootqlPXUb6peISwon0sVdy3fE68pUGebYbofmHLRL0f/ye15Xt/lAy/sAADWG+fjIx8IKm+bciRHmc07eDgA4pf2M18TCy/XoyO9FnOazJbextbulUkY+Xjry+WNlHW91AECFzfzUQpXhVMrI0ynopmTQradu33ye6upx26VjCjXOXf5udBrq954T5abXMRamn5DXAdTPTRzUKT0qxEHTa5cUW6+bZiPWMH+XuzUBYxWuQ6bXuhj9hp9jl+uo8vuTE0GaXI+z/RIREVFAONtvIML2KRsiIiKKHBwhISIiCoYmvIckErFDQkREFATBuYckekVNh2RXxRoABrJbjAx1U0JiY+VrAIDzE/4Y4paEToFzCQDgrPicELckNLZVLgcA9Ez4XYhbEjr158DZ8deGuCWhU/ddCHROvDTELQmNY87vAAAt47uFuCUkC+k9JKWlpRg1ahSSkpKQnZ2NxYsXh7I5REREfhKou6k10B8+ZRMSY8eORWJiIvLz81FUVISJEyciOzsbAwYMaHS9H3/8EbWax0KD6evKZQCArMQRltf57vhKAEC3FqMtr/Nl5dsAgL4JYyyv82llXcdtUMI4y+v4I+/4qwCAIS3GW15nzbFXIAAMTbze8jr/+XU7F/mwnc+drwMAfhM/1vI6/qg/D3onXG15naLKpU2yzhfONwEAZ8VfY3kdX31duQyGj9vYefx9GDDQK+H3ltep35c+PnwO6t+bUz3a4c+oyvbjKwAAPVpcaXkdf74/9lSsAwBkJl5seR1//FixHgIC7RIb/24OZJ2Sig0AgI6Jv7W8jUPHCwEAp7XoZ3mdU0oTlUDWhaxDUlBQgE2bNqG4uBhpaWno378/Vq1ahfnz53vtkBAREUUSATXfJ9oYQpd+1QT+8Y9/4OWXX0ZBQYFn2QsvvICnnnoKO3bsaHRdw6gPMDIHGTkMc+BPw9/WiLoAnBgpPOdkYUjVouLX8mqIkKZFv27jeINtyIdV3Y4Bw7OdWCOxkZrN61SJurChOEMNFNJvCXD+uk78r+vo9ltusVMc+3WdE8FT3qKjKjXreKPbji5wqqGTHYPG1jqxjvlYN7aOt/fH2zpWw7carqMvIS8VqPp1nfr98fZBDmRfGh4z3XYa7mf950DeTmPnTtVJ2qZbp35LurZ525r5vPH+GVXXOVlrTnBDePku0G/LvI73zwAA1P76vXbiu8/KOs5ft9Pwu83cHvnmzPp17KZAMt13mrd11DbWB5HVl3cY8dpQM92W3KIukM9mxFkKtnPDBSHq/vAbRowyoiGkQEsAiI+PR2WlGqDWUJcuXbBr1y6v27eqc+fO+OGHH4JWX7gI2QjJ7t27kZmZaVrWoUMH7Nu3z+u6rVu3xtGjR2G3mxMuMzLSgtjCtkGsK9jbSW2idU5rxus01THw5/1prus0Vbv80VRta6rzhsLRjz/+aHrtcrkQF6emwsoyMjKC2o5g1xcuQtYhKS8vR0KCefQhKSkJFRXeo9qPHDlyilpFRETkmw0bNoS6CREhZE/ZtGrVShkGczqdSE5ODk2DiIiIKGRC1iFJT09HSUmJaVlJSQk6deoUohYRERFRqISsQzJs2DB88cUXKCsr8yxbt24dhg8fHqomERERUYiE7CkbABgwYADS09PxwAMP4IMPPsCsWbNQVFSE7OzsUDWJiIiIQiCkSa1vv/02KioqMHjwYCxcuBBLly5lZ4SIiCgKhXSEhIiIiAgI8QgJERERERCBHZItW7bg9NNPD3UzQmLfvn0YM2YMWrZsidatW2P8+PE4duyYtuz8+fPRqVMnJCUlYcyYMTh06FATt/bU8OUYRKJt27bhggsuQIsWLdC5c2c8+uijONkgaKSeA74cg2jwyCOPNPqdGKnnQT1v+0/NiIgge/bsEcOHDxcdO3Y8aZmffvpJxMXFmX4SExObsJWnzogRI8R5550nPvnkE7FmzRqRmZkpbrnlFqXcRx99JBISEsSrr74qtmzZIi655BIxatSoELQ4+Kweg0g8D1wul+jevbsYM2aMKCgoEK+99ppISEgQCxYsUMpG6jngyzGIxHNA9s0334i4uLiTfidG6nlQz9v+R8M5EE4ipkMyceJEgbpJEhrtkGzYsEF069ZNbNu2zfOzffv2JmzpqVFSUiIAiIKCAs+yBQsWiLi4OFFbW2sqe8UVV4jbb7/d8/rbb78VhmGI4uLiJmvvqeDLMYjE8+DTTz8VdrtdlJWVeZZNmjRJXH311UrZSD0HfDkGkXgONORyucTgwYPFRRdddNLvxEg9D4Swtv+Rfg6Em4i5ZDNz5kxs3boVDz74YKPlduzYgb59+6JHjx6en+7duzdRK0+d0tJSdOzYEb169fIsS01NRVVVFQ4fPuxZJoTAxx9/jBEjRniWdevWDe3atUNeXl5TNjnorB4DIDLPg/LycowYMQIpKSmeZTExMXA6naZykXwOWD0GQGSeAw09++yziIuLQ25urvb3kXweAN73H4j8cyDcREyHJDMzE/369fOa9Lpjxw78+OOP6NevH9q1a4fRo0d7nV04HJxzzjkoLi5GbGwsgLovm0WLFqFjx45ITT0xOdjRo0dx+PBhZWLD9PR0SxMbNmdWjwEQmefBsGHDsGrVKs/roqIivPnmm7jiiitM5SL5HLB6DIDIPAfq7dmzBw8//DDmzZt30jKRfB5Y2X8gss+BcBQxHRKrduzYgbKyMjzxxBNYtmwZAGDIkCERNWFfWVkZrrnmGrzzzjt48sknTb8rL6+bSl03sWH97yJBY8cAiPzzICUlBX369EGbNm0wZswY0++i5Rxo7BgAkX0OTJ48GXfddRe6du160jKRfB5Y2X8gss+BsBTSC0anwMKFCxu9h6S0tFSUl5d7XldUVIjTTjtNLFy4sAlad+qtWrVKtG/fXrRs2VK89tpryu+PHj0qAIjCwkLT8nPPPVf885//bKpmnlLejoEQkX8efPPNN2LlypXinHPOEQMGDDD9LhrOASEaPwZCRO458PLLL4u+ffuKmpoaIcTJvxMj9Tywuv9CRO45EK4cIe4PNbn27dubXrdo0QJdunQJ+yFKAHj11VcxYcIEXHLJJZg3bx4yMjKUMi1btkRiYiJKSkpw1llneZZHysSGVo4BEJnnQWFhIZxOJwYNGoSePXuiZ8+eSE1NxaBBg/Dzzz979jmSzwGrxwCIzHMAqJsT7Ouvv0ZSUhIAwOVyoba2FvHx8abLV5F6HljdfyByz4FwFVWXbKqrq9GxY0d88MEHnmXl5eX47rvv0LNnzxC2LHBlZWW47bbbcOONN+K999476R9ioO46+/r16z2vt2/fjv3792PIkCFN0NJTx+oxiNTzYNmyZcoNfNXV1XA4HKabPIHIPQesHoNIPQcA4LHHHkNRUREKCwtRWFiIhx56CGlpaSgsLMTQoUNNZSPxPLC6/5F8DoStUA/RBJs8PFdTUyN27Nghjh8/LoQQIicnR3Tv3l2sWrVKfPrpp+KKK64Q3bp18wzvhaslS5aImJgYUVBQIHbs2GH6kY/BypUrRYsWLcQbb7wh/vOf/4h+/fqJm266KcR7EDhfjkEkngfffPONsNvt4i9/+YvYsmWLWL16tejVq5eYMGFC1JwDvhyDSDwHdBp+J0bLedBQY/sfLedAuIj4DsmuXbsEALF+/XohhBCHDx8WN910kzjttNNEYmKiuOyyy8R3330XotYGz+OPP+7JYZF/5GMghBD//Oc/RXp6umjZsqW4/vrrRUVFRegaHyS+HINIPQ/ee+890a9fP9GiRQuRlZUl7r77blFRURE154AQ1o9BpJ4DsobfidF0HtRrbP+j5RwIF5xcj4iIiEIuqu4hISIiouaJHRIiIiIKOXZIiIiIKOTYISEiIqKQY4eEiIiIQo4dEiIiIgo5dkiIiIgo5NghISIiopBjh4TID48++igSExNRWVmp/C43NxdnnHGG1zry8vJgGAZqa2sDasuECRMwfvz4gOpo6IYbbsDatWuxe/duGIYRtHoBYOLEiXjuuedO+vtvv/0Wl19+eVC3SUThgR0SIj/k5OTg+PHjWLt2rWm52+3Ge++9h5ycnCZryxNPPIG5c+cCANauXRtQJ2Lr1q0oKirC8OHDg9U8k9WrV2PkyJEn/X337t0RFxeH999//5Rsn4iaL3ZIiPzQrVs39O3bFytWrDAt/+yzz3DgwAFcc801TdaWdu3aIS0tLSh1Pfjgg7jtttuCUpessLAQLVu2ROfOnRstd+utt+Kvf/3rKWkDETVf7JAQ+SknJwcrV65Ew+mg3n33XWRlZeHcc88FALhcLsyYMQPt2rVDUlISrr32Wvz000/a+r799luMGDECCQkJOOOMM/DYY4/B5XJ5fv+vf/0LmZmZSExMxNChQ7Ft2zYAJy7Z5OXlYcSIEQAAwzCQn58PwzCwZ88eTx1r1qxBTEwMDh48qGz/4MGDWLlyJa6++mpt+9544w0kJiZi/fr1nstN77zzDrKystC6dWs89thjeOedd9ClSxe0aNECubm5cLvdnvVXrVrlGR359NNPMWDAACQmJuLMM8/E66+/7ik3YsQI7NixA19++WXjbwARRRR2SIj8lJOTg59//hmff/65Z9mKFSswZswYz+uHH34YH330EZYsWYI1a9bg2LFjGD16NOQ5Laurq3H55ZejTZs22LBhA5599lm8+OKLePzxxwHUdSTuuusuPP7449i4cSNSUlIwduxYUx0DBw7Eyy+/DADYsWMHBg4ciA4dOphGcZYvX45hw4YhNTVV2Z/169cjKysLbdq0UX73wQcfIDc3F4sXL8bQoUM9y5966in83//9H2bOnIn7778f//M//4N//etfWLp0Kd544w289957nrLvv/8+Lr/8cgghcNVVV+Gyyy7DZ599hjvvvBN//OMfUVRUBACw2+0YMGAAPvroI+9vAhFFjpDONUwU5nr16iXuu+8+IYQQP/zwgwAgPv30UyGEEJWVlSIxMVF8/fXXnvKHDh0ShmGIr776Sqxfv14AEDU1NeKVV14Rp512mnA6nZ6yixcvFm3atBFCCHHxxReL6dOne35XWloqhgwZIo4cOSJuvPFG8cc//lEIIcSHH34oGn6sp06dKoYNG+Z53bFjR7FgwQLtvvztb38TI0aM8Lyun6r9008/FUlJSWLhwoWe39W3/bPPPhNCCFFRUSEAiH//+9+eMgMGDBBPPPGEEKJumvfWrVsLp9MpysrKBADxzjvveMq+/vrr4vvvv/e8njRpkmefiCg6cISEKAA5OTmeEYh3330XGRkZGDBgAADg+++/R0VFBc4++2zEx8cjPj4eHTp0gBACe/fuNdXz1VdfYeDAgYiLi/Ms69u3L8rKylBWVoaioiKcd955nt+1b98e69evR+vWrRtt3zXXXIP//Oc/+OWXX7Blyxbs27cPv//977VlDx48iOTkZGX5qFGjcPz4cfTu3Vv53ZlnngkAiI2NBQB06dLF87uYmBhUVVUBqBthueiiixAXF4eUlBT86U9/Qk5ODi666CI8+OCDOPvss03rtmnTBvv3729034gosrBDQhSAnJwcFBUVYdeuXXj33XcxZswYz1Mu1dXVAID8/HwUFhZ6frZt24aLLrrIVI/T6fT8Ua93/PhxAEBCQgIqKirgcDh8bt8FF1yAtm3b4v333/dcrtFdkgGA2tpa0z0f9W6//XZcddVVmDp1qnKpKT4+3vTaZtN/pTS8fwQAnn32WWzfvh1jxozBpk2bcOaZZ+KDDz6wVBcRRSZ+4okC0Lt3b/To0QOvvvoqNmzYYHq6Jjs7G3a7HcePH0ePHj3Qo0cPxMbGYtKkSZ7OSr1u3bph8+bNpptY8/PzkZ2djYSEBPTo0QOFhYWe323fvh1paWk4evRoo+0zDAM5OTlYvnw5li9f3ujTPx06dMDhw4eV5Q888AAef/xxFBQU4JVXXvF2SBRCCKxevdqTL1JUVISbbroJ2dnZmDZtGtasWYPhw4dj5cqVnnV++eUX7X0uRBS52CEhClBOTg7mzJmDdu3amS6rtGzZEpMmTcLUqVOxYcMG5OfnY9y4cUhJSVFGKcaPH4/jx49j8uTJ2Lx5M9566y3Mnj0bf/7znwEAU6dOxdNPP423334b//3vfzFp0iQMGDAArVq1MtVTf8nn008/9QSuXXPNNVixYgW2b99+0idogLqbYnfu3Kn93RlnnIE//elPmDFjBo4dO+bT8dm6dSvatGmDzMxMAEBaWhreeOMNzJw5E1988QWWL1+O//73vzjnnHM863z//ffo27evT9shovDGDglRgK655hocP34cV199tRJKNnfuXAwaNAhXXHEFfve736Fbt27aUYbk5GSsXLkSX375JQYPHow777wT06ZNw5QpUwAAN954I6ZNm4Zbb70VI0aMQHp6Ol566SWlnrPPPhtnnXUWhgwZgp9//hkAcP7556NNmzYYOXIkUlJSTrofgwYNwk8//XTSx5JnzpyJqqoqPPjgg5aPDVB3uaZh+mrbtm2xZMkSLF++HOeddx6mTp2KqVOn4oYbbgBQFy63ZcsWzyPMRBQdDCFfFCaiiOJ2u5GZmYlnn30Wv/vd7xotO2bMGAwdOhS33357E7VO9dFHH+Guu+7CF198EbI2EFHT4wgJUQT79ttv8c9//hNA3dMy3jz44IOYP3/+qW5Wo55//nnMmjUrpG0goqbn+237RBQ27rjjDnzxxRf497//bekpnd69e2Pw4MHKZZamsnPnThw4cKDRe12IKDLxkg0RERGFHC/ZEBERUcixQ0JEREQhxw4JERERhRw7JERERBRy7JAQERFRyLFDQkRERCHHDgkRERGFHDskREREFHL/H+dvD+bvHvY9AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "cube.plot_teardrop(inc=5., PA=152., mstar=0.88, dist=59.5)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.9" } }, "nbformat": 4, "nbformat_minor": 4 }