Skip to content

Instantly share code, notes, and snippets.

@aphearin
Created April 1, 2018 21:24
Show Gist options
  • Save aphearin/9e657ec850dc8147d0cdd0a8e86279af to your computer and use it in GitHub Desktop.
Save aphearin/9e657ec850dc8147d0cdd0a8e86279af to your computer and use it in GitHub Desktop.
Demo cosmoDC2 extragalactic catalog for LSST-DESC
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/aphearin/anaconda/lib/python2.7/site-packages/h5py/__init__.py:36: FutureWarning: Conversion of the second argument of issubdtype from `float` to `np.floating` is deprecated. In future, it will be treated as `np.float64 == np.dtype(float).type`.\n",
" from ._conv import register_converters as _register_converters\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"['ra', 'dec', 'z', 'sm', 'ssfr', 'nd', 'restframe_extincted_sdss_abs_magr', 'restframe_extincted_sdss_gr', 'restframe_extincted_sdss_ri', 'size_kpc', 'dr7_PhotoObj_Table_ID', 'sfr_percentile_fixed_sm', 'gr_percentile_fixed_magr']\n"
]
}
],
"source": [
"from cosmodc2.sdss_colors import load_umachine_processed_sdss_catalog\n",
"sdss = load_umachine_processed_sdss_catalog()\n",
"print(sdss.keys())"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"['halo_id', 'upid', 'vpeak', 'mpeak', 'mvir', 'vmax', 'sm', 'sfr', 'obs_sm', 'obs_sfr', 'x', 'y', 'z', 'vx', 'vy', 'vz', 'hostid', 'host_halo_x', 'host_halo_y', 'host_halo_z', 'host_halo_vx', 'host_halo_vy', 'host_halo_vz', 'host_halo_mvir', 'host_centric_x', 'host_centric_y', 'host_centric_z', 'host_centric_vx', 'host_centric_vy', 'host_centric_vz', 'obs_sfr_percentile', 'sfr_percentile']\n"
]
}
],
"source": [
"import os\n",
"from astropy.table import Table\n",
"\n",
"# MDPL2-based mock\n",
"dirname = \"/Users/aphearin/work/random/0331\"\n",
"basename = \"cutmock_1e9.hdf5\"\n",
"fname = os.path.join(dirname, basename)\n",
"mock = Table.read(fname, path='data')\n",
"mock.Lbox = 500.\n",
"\n",
"# Bpl-based mock\n",
"# dirname = \"/Users/aphearin/work/random/0331\"\n",
"# basename = \"testing_bpl_based_v4.hdf5\"\n",
"# fname = os.path.join(dirname, basename)\n",
"# mock = Table.read(fname, path='data')\n",
"# mock.Lbox = 250.\n",
"\n",
"print(mock.keys())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Map $M_{\\rm r}$ onto every galaxy based on its $M_{\\ast}$ "
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"from cosmodc2.sdss_colors import mock_magr\n",
"\n",
"mock['restframe_extincted_sdss_abs_magr'] = mock_magr(\n",
" mock['upid'], mock['obs_sm'], mock['sfr_percentile'], \n",
" mock['host_halo_mvir'], sdss['sm'], sdss['sfr_percentile_fixed_sm'], \n",
" sdss['restframe_extincted_sdss_abs_magr'], sdss['z'])\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Compare cumulative number density to Zehavi+11"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"from cosmodc2.sdss_colors import zehavi11_cumulative_nd\n",
"lumthresh_h1p0, cumnd_sdss = zehavi11_cumulative_nd()\n",
"\n",
"from cosmodc2.mock_diagnostics import cumulative_nd\n",
"\n",
"volume_v4 = mock.Lbox**3.\n",
"protoDC2_littleh = 0.7\n",
"cumnd_pdc2_v4 = cumulative_nd(mock['restframe_extincted_sdss_abs_magr'], \n",
" volume_v4, protoDC2_littleh, lumthresh_h1p0)\n"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1031d3ed0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4), sharex=True)\n",
"\n",
"__=ax1.plot(lumthresh_h1p0, np.log10(cumnd_sdss), label=r'${\\rm Zehavi+11}$', color='blue')\n",
"__=ax1.plot(lumthresh_h1p0, np.log10(cumnd_pdc2_v4), \n",
" label=r'${\\rm protoDC2\\ v4}$', color='red')\n",
"\n",
"fracdiff_pdc2_v4 = (cumnd_pdc2_v4 - cumnd_sdss)/cumnd_sdss\n",
"\n",
"__=ax2.plot(lumthresh_h1p0, fracdiff_pdc2_v4, \n",
" label=r'${\\rm protoDC2\\ v4}$', color='k')\n",
"__=ax2.plot(np.linspace(-100, 100, 100), np.zeros(100), ':', color='k')\n",
"\n",
"legend = ax1.legend()\n",
"xlabel = ax1.set_xlabel(r'${\\rm M_{r}}$')\n",
"xlabel2 = ax2.set_xlabel(r'${\\rm M_{r}}$')\n",
"ylabel2 = ax2.set_ylabel(r'${\\rm fractional\\ error}$')\n",
"ylabel = ax1.set_ylabel(r'$n(<{\\rm M_r})\\ [(h/{\\rm Mpc})^3]$')\n",
"title1 = ax1.set_title(r'${\\rm cumulative\\ number\\ density\\ test}$')\n",
"title2 = ax2.set_title(r'${\\rm cumulative\\ number\\ density\\ test}$')\n",
"ax2.yaxis.tick_right() \n",
"xlim1 = ax1.set_xlim(-18, -22.3)\n",
"ylim2 = ax2.set_ylim(-0.5, 0.5)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"So our luminosity function is calibrated to the $25\\%$ level with SDSS over the r-band range $M_{\\rm r}\\in[-22, -18]$. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Compare luminosity threshold clustering to Zehavi+11"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"...calculating wp for 3.98e+05 galaxies and Mr < -19.0\n",
"...calculating wp for 4.00e+05 galaxies and Mr < -19.5\n",
"...calculating wp for 4.00e+05 galaxies and Mr < -20.5\n",
"...calculating wp for 4.64e+04 galaxies and Mr < -21.5\n"
]
}
],
"source": [
"from cosmodc2.mock_diagnostics import zehavi_wp\n",
"\n",
"period = mock.Lbox\n",
"x, y, z, vz = mock['x'], mock['y'], mock['z'], mock['vz']\n",
"magr = mock['restframe_extincted_sdss_abs_magr']\n",
"\n",
"rp_mids, wp_v4_19p0 = zehavi_wp(x, y, z, vz, \n",
" period, magr, -19.0, protoDC2_littleh)\n",
"rp_mids, wp_v4_19p5 = zehavi_wp(x, y, z, vz, \n",
" period, magr, -19.5, protoDC2_littleh)\n",
"rp_mids, wp_v4_20p5 = zehavi_wp(x, y, z, vz, \n",
" period, magr, -20.5, protoDC2_littleh)\n",
"rp_mids, wp_v4_21p5 = zehavi_wp(x, y, z, vz, \n",
" period, magr, -21.5, protoDC2_littleh)\n"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x116e8b110>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from cosmodc2.sdss_colors.sdss_measurements import rp as rp_zehavi\n",
"from cosmodc2.sdss_colors import zehavi11_clustering\n",
"\n",
"wp_zehavi_18p5 = zehavi11_clustering(-18.5)\n",
"wp_zehavi_19p0 = zehavi11_clustering(-19.0)\n",
"wp_zehavi_19p5 = zehavi11_clustering(-19.5)\n",
"wp_zehavi_20p0 = zehavi11_clustering(-20.0)\n",
"wp_zehavi_20p5 = zehavi11_clustering(-20.5)\n",
"wp_zehavi_21p0 = zehavi11_clustering(-21.0)\n",
"wp_zehavi_21p5 = zehavi11_clustering(-21.5)\n",
"\n",
"fig, _axes = plt.subplots(2, 2, figsize=(10, 8), sharex=True, sharey=True)\n",
"fig.subplots_adjust(hspace=0)\n",
"fig.subplots_adjust(wspace=0)\n",
"\n",
"((ax1, ax2), (ax3, ax4)) = _axes\n",
"axes = ax1, ax2, ax3, ax4\n",
"for ax in axes:\n",
" __=ax.loglog()\n",
"\n",
"\n",
"__=ax1.plot(rp_mids, wp_v4_19p0, color='k', label=r'${\\rm M_{r} < -19}$')\n",
"__=ax1.errorbar(rp_zehavi, wp_zehavi_19p0, 0.2*wp_zehavi_19p0, \n",
" fmt='.', color='blue')\n",
"\n",
"__=ax2.plot(rp_mids, wp_v4_19p5, color='k', label=r'${\\rm M_{r} < -19.5}$')\n",
"__=ax2.errorbar(rp_zehavi, wp_zehavi_19p5, 0.2*wp_zehavi_19p5, \n",
" fmt='.', color='blue')\n",
"\n",
"__=ax3.plot(rp_mids, wp_v4_20p5, color='k', label=r'${\\rm M_{r} < -20.5}$')\n",
"__=ax3.errorbar(rp_zehavi, wp_zehavi_20p5, 0.2*wp_zehavi_20p5, \n",
" fmt='.', color='blue')\n",
"\n",
"__=ax4.plot(rp_mids, wp_v4_21p5, color='k', label=r'${\\rm M_{r} < -21.5}$')\n",
"__=ax4.errorbar(rp_zehavi, wp_zehavi_21p5, 0.2*wp_zehavi_21p5, \n",
" fmt='.', color='blue')\n",
"\n",
"for ax in axes:\n",
" leg = ax.legend()\n",
"\n",
"title1 = ax1.set_title(r'${\\rm protoDC2-v4\\ clustering\\ vs.\\ SDSS}$')\n",
"title2 = ax2.set_title(r'${\\rm protoDC2-v4\\ clustering\\ vs.\\ SDSS}$')\n",
"\n",
"xlabel3 = ax3.set_xlabel(r'${\\rm r_p\\ [Mpc]}$')\n",
"xlabel4 = ax4.set_xlabel(r'${\\rm r_p\\ [Mpc]}$')\n",
"ylabel1 = ax1.set_ylabel(r'${\\rm w_p(r_p)\\ [Mpc]}$')\n",
"ylabel3 = ax3.set_ylabel(r'${\\rm w_p(r_p)\\ [Mpc]}$')\n",
"\n",
"__=ax1.set_xticklabels([''])\n",
"__=ax2.set_xticklabels([''])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Well that looks good in a log-log plot, so let's look at $r_{\\rm p}\\times w_{\\rm p}$ to bring out the discrepancies."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1184afb90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"from cosmodc2.sdss_colors.sdss_measurements import rp as rp_zehavi\n",
"from cosmodc2.sdss_colors import zehavi11_clustering\n",
"\n",
"wp_zehavi_18p5 = zehavi11_clustering(-18.5)\n",
"wp_zehavi_19p0 = zehavi11_clustering(-19.0)\n",
"wp_zehavi_19p5 = zehavi11_clustering(-19.5)\n",
"wp_zehavi_20p0 = zehavi11_clustering(-20.0)\n",
"wp_zehavi_20p5 = zehavi11_clustering(-20.5)\n",
"wp_zehavi_21p0 = zehavi11_clustering(-21.0)\n",
"wp_zehavi_21p5 = zehavi11_clustering(-21.5)\n",
"\n",
"fig, _axes = plt.subplots(2, 2, figsize=(10, 8))\n",
"((ax1, ax2), (ax3, ax4)) = _axes\n",
"axes = ax1, ax2, ax3, ax4\n",
"for ax in axes:\n",
" __=ax.loglog()\n",
"\n",
"\n",
"fake_error = 0.1\n",
"__=ax1.plot(rp_mids, rp_mids*wp_v4_19p0, color='k')\n",
"__=ax1.errorbar(rp_zehavi, rp_zehavi*wp_zehavi_19p0, rp_zehavi*fake_error*wp_zehavi_19p0, \n",
" fmt='.', color='blue')\n",
"\n",
"__=ax2.plot(rp_mids, rp_mids*wp_v4_19p5, color='k')\n",
"__=ax2.errorbar(rp_zehavi, rp_zehavi*wp_zehavi_19p5, rp_zehavi*fake_error*wp_zehavi_19p5, \n",
" fmt='.', color='blue')\n",
"\n",
"__=ax3.plot(rp_mids, rp_mids*wp_v4_20p5, color='k')\n",
"__=ax3.errorbar(rp_zehavi, rp_zehavi*wp_zehavi_20p5, rp_zehavi*fake_error*wp_zehavi_20p5, \n",
" fmt='.', color='blue')\n",
"\n",
"__=ax4.plot(rp_mids, rp_mids*wp_v4_21p5, color='k')\n",
"__=ax4.errorbar(rp_zehavi, rp_zehavi*wp_zehavi_21p5, rp_zehavi*fake_error*wp_zehavi_21p5, \n",
" fmt='.', color='blue')\n",
"\n",
"\n",
"title1 = ax1.set_title(r'${\\rm M_{r} < -19}$')\n",
"title2 = ax2.set_title(r'${\\rm M_{r} < -19.5}$')\n",
"title3 = ax3.set_title(r'${\\rm M_{r} < -20.5}$')\n",
"title4 = ax4.set_title(r'${\\rm M_{r} < -21.5}$')\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Large-scale clustering is too strong at the faint end, and the one-to-two halo transition is too weak at the bright end; otherwise, looks pretty good. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Inspect the CLF"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1183a7a10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cenmask = mock['upid'] == -1\n",
"lowm, highm = 14., np.inf\n",
"halo_mask = (mock['host_halo_mvir'] > 10**lowm) & (mock['host_halo_mvir'] < 10**highm)\n",
"\n",
"num_clusters = np.count_nonzero(cenmask & halo_mask)\n",
"\n",
"fig, ax = plt.subplots(1, 1)\n",
"\n",
"from scipy.stats import gaussian_kde\n",
"kde_sats = gaussian_kde(mock['restframe_extincted_sdss_abs_magr'][halo_mask & ~cenmask])\n",
"kde_cens = gaussian_kde(mock['restframe_extincted_sdss_abs_magr'][halo_mask & cenmask])\n",
"\n",
"x = np.linspace(-12, -25, 150)\n",
"sats_pdf = kde_sats.evaluate(x)\n",
"cens_pdf = kde_cens.evaluate(x)\n",
"\n",
"__=ax.fill(x, cens_pdf, alpha=0.9, \n",
" label=r'${\\rm centrals: M_{halo} > 10^{14}M_{\\odot}}$')\n",
"__=ax.fill(x, sats_pdf, alpha=0.8, \n",
" label=r'${\\rm satellite: M_{halo} > 10^{14}M_{\\odot}}$')\n",
"\n",
"legend = ax.legend(loc='upper left')\n",
"\n",
"ylim = ax.set_ylim(0, 0.8)\n",
"xlim = ax.set_xlim(-16, -25)\n",
"xlabel = ax.set_xlabel(r'${\\rm M_{\\rm r}}$')\n",
"ylabel = ax.set_ylabel(r'${\\rm PDF}$')\n",
"title = ax.set_title(r'${\\rm Cluster\\ Halo\\ CLF}$')"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEhCAYAAABhpec9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAIABJREFUeJzt3Xt0I+d5HvDnW60lWVrZINayrfVNC9p1IttJDHLtpI2TxgJz2pyTS1tQPOlJ056TLtg4TuOmNuFN42QTN92QzaVOkzTA2nFtp3a4ROzYsS1HgCRbvoskVlqtLiuJ2DtXeyE4u7xfgLd/zAx2AA5AABxgBoPndxZnCWAw+GYAfO98dyUiICIiqmaX2wkgIiJvY6AgIqKaGCiIiKgmBgoiIqppt9sJIKJySqkwgCEAcyIy5nZ6iBR7PZEXKKVGjT/nAGgAICJJpVQMwDER0VxLXB2M9McA5AEkzAxeKRUBMAwgCiAF4IiIZOvYXxTAsIgMtCCdQI3zXHEsKeN4clX2VTpmy1O9ACIANBHpczL95A4GCnKVcfU8CmBURDIVz8WM5/rsMiqvUUpNAMiJSLzi8RCAGRFRDewrBD2DdiRQNHqeqx2LzX6rbqeUmhCRQSfST+5iGwW5RikVADAB/co5Y7PJsTYnyZe2O88ikmzRW4+3aL/UZgwU5KZRAJlqpQWjusmRTEwpFTAyzJqP+dQogOw2pTLHgoVRGgKATJecX99jYza56QEAB7fZJmGpDgkDOAogB71OPARgwKzeMKpQ8sbrQgCSRp27+ToA6LNsOwrgCIAxm32b++jdrvqlWZb0hqBX36QaeI2ZvmQd7TcNneedMM5jEPrxeLpdierHQEGuMK40A9Az5qqsmZeIZJVScegZfA7AlGV/Cej172ZQMatbBozXHcTNYGE24Pba7DsBYMrM5JRSEaVUuoG2gohSaqTisb2VGymlYtYqH6VUWilV86q/1jHWeE3D57kJ5jHvhd64zXYJn2GgoE6TBxCwZGxJ4yq2vyKoaEqpXGWGXMe+y66ERSSjlEoopSJV2lEqZSq7tBpVMZXBY1ApZW0fyELvKWSbVgePsRVKx6yUSruYDmoRtlGQK4zMWINefVLGaDsYMTLotPG/dbvKq99+m8cAYAZGVdMOZQGEHdiP1SCAY0qpqNGFNgT9yr+apo6x1nm2aqQtoeKzqHy/eoIpdRgGCnLTMegDy8qIiGZcocahX2WP7qBqJLiD9LVSBHpVWMbIXHdS9bPdMdqeZ5v01Ktm0GSw8B8GCnJTHHr99k6v1qdgn3n1AjCrQuwaVuu9ig4DcCzzM9sWRGSwssHXKE3ZXbHXc4zVxAGEa5UE0FhArVk6If9hoCDXGJnk/QCOGiORKz0A+wy+cj9ZAFlrwDEy435L3X0eWwODXYbXb62GMdKVrWc0dQNC2HpcIeiNwbYZdp3HaMs4z4MAJoxqrjLmqOx6Em40qLM3U5dhYza5ysgA+5RSo0ops/fODPTMaAp6t848UDa62OxlU+oaKiKDRruGmfmHoAch83004z1i0Kt5AtCvxA8ppTRLZjsFPVjA2OZAPaOLjeksIgDySqk52TqFhzmK+YjRw+qI8RqzNHAQeg+mCPTSS+k4zX1td4y11DjPWwbcVR6L8XAv9HaSMIxeTZbtYJwvR7rYkvdwCg8igxmInJ5fiajTuVKiMIrzB+oZyGRcOeZgFMld7gZIRNR12tpGYQxeGoFeFN+2IdEo2uZEJGUEiN4qddlERNQibQ0UImIOzKm3YTBWMa1BGkZ9L5GTbNo/iMjg2cbsKl0m82isvzdRXYzGXrZNENnwcvfYIG5OfmYy59/hjJRERG3i5UARwNY+5Wbg8OpoWyIi3/Fs1RPsB/WYAaKypFFyxx13yMrKSun+Pffcg3379jmcNCIif5menr4mInfbPeflQGE3kjYAlEaa2rrvvvswNTVV7WkiIrKhlDpb7TnPVj0ZjYuVASEIB+fcISKi7XkqUCilQhXjJJIV9wdwc/UxIiJqg7ZWPRldXiMAogCCSqkZ6NMsm+MqItDnkUkBgIjEjbltotDntZmpZ7lIIiJyju/meurv7xe2URARNUYpNS0i/XbPearqiYiIvIeBgoiIamKgICKimhgoiIioJgYKIiKqiYGCukI2Wz6zfSaTQSaTQTweh6ZxCWg/aPQzHh4ehqZpSCaT/A5sg4GCfC+TyWBw8Oay19lsFolEApFIBJqm4dixYy6mjpzQzGd87Ngx7N+/HwAQCHBC6loYKMhRmUwGvb29GB5u3fpS8XgcmczWmVzGxsaQSqUwNjZWdnUZiUQQCoVK98PhMCYmJgAAuVwOkUik9Hc8HodSCmNjY7bvrWkaenp60NfXh1TK/bGfqVQKfX196OnpqbpNPB5HT09P1WPyolZ9xlZHjx7F/Pw8YrFY1XT49fw2TER8devr6xNqTiKRcGw/sVjMkX1ZpdNpGR0dlVAoJOl0uuy5aDQq09PTpfuRSKTs+cr7ZjrtjjkWi0koFKqahnA4LBMTE80cQktMTEyI/lPeanp6WqLRqIyOjrY5Vc1p12csIjI6Olp6v1r8dH5rATAlVfJVligIgH6lPDMz43YyaopEIhgZGSm7cjRlMhmEwzcXRQyFQrZXpFaxWAzT09NbthsY0Be6q6zzbpdUKlVWjVKPUCiEXC635fF8Po9cLld2bty03bG16zMGgJGREUQiEQQCgW1LA51yflvFy9OMt9W7/sCdSWkf/2/ur+yqaRoOHjxo++PsBJlMZkvaA4EA0um0bZWDGQDC4TD6+vpKddlW0WgU4+PjZRlALpdDf7/tDAeOSKVSGB8fx9DQUKnaZDu5XA6hUKiUkVnPQyaTQX9/P7LZrO15aKdmjs3K6c84lUohn88jFoshFApVTVOnnN9WY4miA2mahng8jlQqhUwmU3bla9azp1Kpst4emUwGfX19pedSqRSGh4eRy+WQyWSgaRqy2SzGxsZKV19me8PY2BiSyST6+vpK+8tms2X7qdVrxNynua2deDzedLuG3Xvv3bvX9goQ0I/LfE7TNNsAOTw8jGQyWfZYLpdrSaOn9Sp7YmIC0Wh0m1fclM1mEQ6Ht1zxapqGYDCIqakpV692d3JsVk59xuZ+QqEQHnjgAQD659rX12e7H6+f33ZhoOhA999/P4aHhxGNRhEMBsuK8gMDAzh06BCi0SiGhoZw8OBBAHqRfnh4GJlMBtFoFNFotHSlFY1GMTAwgHA4XCqOW18zPj6OWCyGQ4cOld5ncHAQoVCotJ8jR47YpjWZTCIcDiMSiSAajaK3t9d2u6GhoaYDRT5fdcFDAHpmlcvlMDY2Bk3TMDIygnw+j1QqhZmZmbLjMplXkdtVbeyEU5koAPT29pZVHZoZWOUVdzabrfoZ2Ekmk019Lk4eG+DcZ2wGhHA4jGPHjpWer9WgDdR/fv2KVU8dxsy4zCsk88sK6D/qUChUuuoNh8NbMjrr1XMwGMT09PS272m+xvpjT6fTpcf7+/urFt1DoRCGh4cRj8fxwAMPVP1B7uSqLBjcuoT63Nxc6W8zMFqZ6aiVgZnVJJFIBNls1tFqp3g8jlwu11Q1jJ1QKITJyUkAKKsiyWazZRl9OBxu6FwHg8FSm029nD42Mx2VmvmMrZl9Pd8BU73n169Yougw2Wx2y4/G/NKaPwJzoFEmkykVr02Vr93uSs26/8rHUqkUkskkMplM1f1EIhGMjo5iYmICPT09iMfj275fowKBgG3VxE7bXGKxWKn/fT6fr1ntZD3nZlVeLaOjoxgaGsLg4GDTpRZN00ppslaNWDOyTCZTdsWbyWRw4MCBut9jcnKy4SDuxLFVatVnXEsz59d8rJHvQidgoOgw4XC4aqZ84MABBAIBRCKR0i2RaHxBwHrGB/T19SEUCiEWi9UseptVXel0GvPz88jlclXrlZsViUS2nJNcLtfwlXClQCCA/v7+bc+HmVlYb/WsiRKNRjExMQFN05rKVKempkqlHDMjs2Zc2Wy2rIRpPmam2drTx2xDGhsbK3vc3If5dzKZLLWNtfLYKrXqM66lmfPb7HfB6xgoOow50tSa2ZqNrtFoFLlcruwKpt4faCgUqvvKx7xKMq80rY2GlV1K0+l06bFAIFD16jSbze6oO6pZPWSqNsiqHtZzOzg4iHg8XnVf1h4v1s+lMj21NJupZrPZUiZld8Vt19CaTqcRjUYRiURKVZaappXaqsy2GZO5f7MDRSwWQzQaxejoaEuPzY6Tn3E9Gj2/TnwXvIptFB1oenoa8Xi8dDVl/bFMTEzgyJEjpeoF69VgIpGApmlIpVIIhUJIJBKYmppCKpUqdQc12zkAPSCMj49D0zT09vaW6nQjkQjC4XBpW/OWTCYRiUQwMTGBXC6HVCqF3t7eslJEb2+vbXWB+T61SkDZbBbj4+Olqq6hoSGMjIwA0EfZHjlyBLlcDpOTkzh69GjD59XsMZbJZBAIBBCLxRCLxUpVeua8QOa5BMqnfjDf36ybr6daz8qsZzcbgqvV8ZuZtnmBYJ4Da+lubGwMiUQCgUBgS/WIeXVsZnLJZLL0fZmcnCw1/Gaz2dLjyWSy9H1rpiql3mNr9Wdcj2bPr/Xz3ul3wWu4FKqhm8dRUPPsqh+sz3mp62Qul0MikcDo6GgpyAeDwVJGFw6HMTAwgEQigWAwWAr8gB7IBwYGEIlEkEwmEQwGd9yTyW866btgh0uhErWIXc8yQG/n8VrGkM1mS6WCYDBYGhcSjUZLDa/hcLhU5RIOhzE1NVXquZbNZkvHyiCxVSd9FxrFEgWRAyoziG7oW0/2OvW7UKtEwTYKIgd0SmZArefH7wKrnoiIqCYGCiIiqomBgoiIamKgICKimhgoiIioJgYKIiKqiYGCukLlXDvmADPr4k7U+Rr9nM1Ft5LJJL8HNTBQkO9lMpmyxZ3MuZrMCRbNqcSpszXzOR87dgz79+8HgJasXugXDBRky1wG1VyUpfI+oM+sWrlcaDuYE/dVGhsbK02Vbb2yjEQiZRMRhsPh0mRtlTOQmhMDKqXKptu20jQNPT096Ovrq2tK9lZKpVLo6+tDT09P1W3i8Th6enqqHo9XtfJzNh09ehTz8/NVF9Ty8/ltiIj46tbX1ydkL5FINLx9LBarej+dTsvMzMyO3qMR6XRaRkdHJRQKSTqdLnsuGo3K9PR06X4kEil7vvK+iJ7WaumNxWISCoWqpiMcDsvExESjh9ASExMTov+Ut5qenpZoNCqjo6NtTlXz2vk5j46Olt6vGr+d32oATEmVfJVTeJgSP+nO+w5/oy1vo2la2TKQTqi8QmvFe1S+n3UdBatMJlM2dbW53nWt6RRisVhpHfHK7QYGBpDJZFyb9TOVSmF8fLzu5UTNqcMrp3DP5/PI5XKeWa6znuNq5+dsTiFurrdt3q/UKee3VVypelJKjSilokqpmFKq9qrmN7ePGTf7T5Kq0jQNBw8edHyf2Wy2bNEip9+jXplMZssPOBAI2GY0QPkiSX19fVXXwDDX6LDK5XKOrp1dyVyvAUBdQcLMvKxLdZoymQz6+/vLFtRxS6PHZcfpz9lcyhfQA4HdRU6nnN9Wa3ugUEqNAsiJSEpEkgB6lVJV5yxWSo2IyJiIJI3tM90eLMbGxkpLV1qvZLLZLFKpVOlxsxeHuSJdNpstvdZk1smnUqmGegDl83nE4/HSSmdOvEc8Hm/qysxuf3v37q265GomkykLcNXWXR4eHt7SBmNOze20yoy03mm8zRJPZUamaRqCwaDtKnft1Oxx2XHqczb3EwqFSmvK53I59PX1bdmH189vu7hRooiJiLUFMA2gVu4wZL0jIlkA9a8O7zPJZBLhcBiRSATRaBS9vb2l5wYHBxEKhRCNRtHX14cjR44A0K+MBwYGEA6HMTIyUnb1MzAwgEOHDiEajWJoaKjuUkEoFCrrYeLEewwNDTUVKLZbPSyVSpWqFjRNw8jICPL5PFKpFGZmZkorutkdo1m10SpOZaS9vb1lV8RmBpZOp8s+i2w2W/ad2U4ymWzqM3EyQJic+pzNgBAOh3Hs2LHS89UatIH6z69ftbWNQillF3rzAGqd6bxSagLAQRHRjKqq8Rrb+5q5iEw8HscDDzxQ9uVOp9Olq6b+/v5ti/jmKmfmFXK1hVd2opH3aPbKLBgMbnlsbm6u9Le5DKeVed62y8CGhoYwMTFRWvfYyWqneDxetlzmToRCIUxOTgJAWV16Npsty+jD4XBD5zkYDJYWO6qXk8dVmZZKzXzO1gy/3u9BvefXr9rdmB2EHhisNABQSgVExK5OYhh6qeO0UuoIjGqr1ibTuyKRCEZHR5FIJDA8PIxYLFaqew2FQkilUsjn89A0bdsrMPMHY824zaK4U9rxHnYL3wOoWqXUiFgshv379yORSCCfz9fMZCsDYH9/f81qqtHR0dKV9/DwcMNXppqmlfZvrRqxdgWtbPzNZDKldbDrMTk52XBGuNPjqqaVn7OdZs6v+ZjVdt+DTtDuqqcA9GBhZeZmWy8XAIhIDkDC2G4UQM3Lm9nZWSilSrfDhw/vLMUek8lkEI1GkU6nMT8/j1wuV/oC9/X1IRQKlS0Cb8fs+3/gwAEEAoFSL5NIJFK1YbdR7XgPU+XC9oD+Y270SthOIBBAf3//tuMlzB411ls9Ky1Go1FMTExA0zQMDg42VKKbmpoqlXDMjMzas8duDWezcTeTyZT1+zfbvMbGxsoeN/dh/p1MJpFKpbZN506Oq5pWfs52mjm/zX4PvK7dgcKuxGAGCNvLX6VUAkBWRHqhly4eMKqibO3bt6+s/6/fAkU6nS792M11jYGbjcnmfWsjnvmFrrwai0ajyOVyZY/v5Ae90/ew9lJplFk1ZKo2wKpe1obLwcFBxOPxqvuz9nrRNK302so01dJMxmqubQ3YX23bNbSm02lEo9Gy7qeapiGRSCAajZbaZUzm/jVNQzweRywWQzQaLXViaMVx1eL051xLo+fXie+BV7W76ikPvVRhFQAAu2ons01DRDLG/0mlVAZA6zrre1xvb29ZKaK3t7f04w6Hw6U2AfOWTCYxMjKCcDiM8fHx0vOmiYkJHDlypFQdYb16nJiYQC6XQyqVQigU2nI/kUhA07TSVZTZnbTe96g0Pj5eyrTsZLNZjI+PI5PJIJ/PY2hoqNTv/ejRozhy5AhyuRwmJydx9OjRps6v2UMrk8kgEAggFoshFouVqtDMeYHM6SGA8qkfzDSY1RHbVf9VMuvZzaobu3p+M9M2e2SZ58BakhwbG0MikUAgENgyfsC8OjYzuWQyWfpsJicnS42+2Wy29HgymSxduTczJ1I9x2Vqx+dcS7Pn1/pZ7/R74DVKH5DXxjdUal5Eeiz3IwDiIrKl/Gg8FxaRsYrHJ0RksHJ7AOjv75emino+H3BHrWNXBWF9zivdJ3O5HBKJBEZHR0vBPBgMljK6cDiMgYEBJBIJBINBJJPJUsY4Pj6OgYEBRCIRJJNJBINBR3oy+UmnfA+qUUpNi4htbw03uscmK8ZNDEBvgwAAKKVC5vNGSaKs5U0pFQBg33GayAXVenKlUilPZQ7ZbLZUKggGg6UxIdFotDTLajgcLlW5hMNhTE1NlXraZbPZ0nEySGzVKd+DZrS9RAHog+igZ/YhAJoxkM58LgZg0CxhKKVC0NsmStVN1u0rNV2iINqhykyiG/rX01ad+j2oVaJwJVC0EgMFEVHjvFb1REREHYSBgoiIamKgICKimhgoiIioJgYKIiKqiYGCiIhqYqAgIqKaGCiIiKgmBgoiIqqJgYKIiGpioCAiopoYKIiIqCYGCiIiqomBgoiIamKgICKimhgoiIioJgYKIiKqiYGCiIhqYqAgIqKaGCiIiKgmBgoiIqqJgYKIiGpioCAix53PL+Mz3z3jdjLIIQwURFS3YlHw8W/mMHN1seo2L15ZQOwz0/j4t05jYXWjjamjVmGgIKK6bBSK+J0vnUTysRx++ROP43OPn0OxKGXbnLx4HcOfmcbc4hpW1gv48olLLqWWnMRAQUTbWt0oIJ46gYeevgxADxp/mn4ev/6547h8YxUAMHkmj1/7bBYLq5ul101Mnd8STKjz7HY7AUTkbYtrm/ivx57A8XPalucmz+Txi0e/h3/9ztfhc4+fx0ahWPb8hfkVfDc3h3/25le1K7nUAixREFFV11c28Kt/M20bJEyLq5v49HfPbgkSpmNT51uVPGoTBgoiqupLT1zEqZcWdrSP787M4dzcskMpIjcwUBBRVQ8/d8WR/bBU0dkYKIjI1qXrK3hm9oYj+/rKU5ewtLa5/YbkSa40ZiulRgDkAAQBQESS22wfAHAIwKTxmikRybY6nUTd7OFnnSlNAMDS2ia+8tQlPND/Bsf2Se3T9hKFUmoUQE5EUkaA6FVKRWtsHwDwsIjERSRlPHyoHWkl6maPOlTtZGJX2c7lRtVTzJLhA0AawHCN7UcBJMw7RnA52KK0ERGAyzdW8dTF647u8+zcMibP5B3dJ7VHWwOFUips83AeQKTGy2IAMtYHRKR6Xz0i2jEnq52svvIUR2p3ona3UQShBwYrDdCrmCoDgFIqZPwZMoJMEEBARMZanlKiLvbIc5dbst+vn7qK5fVN3HErx/p2knZXPQVgNGBbmIGj8nEAMAMFLG0aZjuHrdnZWSilSrfDhw/vMMlE3eXKjVWcuOBstZNpdaOAr5+62pJ9U+u0O6zbVRmZAcKu8tJ8bMryWAbANIC43Rvs27cPs7OzTSeQqNs94nAjdqUHT76En3nHPS19D3JWu0sUeeilCqsAULXdQbN5rlRV1YoEEnU7pwbZVTN5Oo+rC2stfQ9yVlsDhTH2oTIgBFHRWG3ZPgdAs7RVALUDCxHtwNWFNZy40NqfVlEEDz3zUkvfg5zlRvfYZMW4iQFYur8qpUIVzx9Bea+oIVSpdiKinXn01BVIG4Y6PPgUA0UnaShQKKVesdM3FJE49F5MUWOE9kzFuIoILOMqjB5OAaXUiLH9HHs9EbXGw8+2prdTpecvL+DFK9VXySNv2bYxWyk1CX26jXFUqSJqVK2M3ujZlKx4jIGBqMXyS+t44nz7anS/dvIS3v/et7Tt/ah59ZQoekRkSEQ+LyLOzBBGRJ7z1MXrbal2Mn3t6Zc4pUeHqKd7bKkUoZTaD2C/9UkRecTpRBFR+z0925qxE9VcubGG7Ll59N9rN4SKvKSeEsWM+YeInAYwD2DCuM8gQeQTTzs0pXgjHjzJRu1O0HCvJxE5DuCoXZBQSt3rQJqIqM2KRcGzl9ofKB597gpWNwptf19qTD2Bwq4S8VqVbWvNAktEHnV+fhmLq+1fWGhxbdPxWWrJefW0UQwrpfZWPBaxeQzQZ3rlWhFEHcaNaifT85cXcIDtFJ5WT6DYC6C34rHTNo8RUYdqd0O21QuXOZ7C6+oJFEkR+XA9O1NK/eEO00NELnBqbexmvHBlwbX3pvps20ZRb5BodFsi8ob1zSKed/Gq/sy1ZWwUiq69P23PjbmeiMhDXriy4GpGvVEo4uzckmvvT9traD0KpdR7oU/iZ642NwUgLSKfb0HaiKgN3GzINj1/eRFvfvVdbieDqqirRKGUeoVS6iEAKeiN2McBPAxAARhTSk0qpd7UumQSUau42T5hYoO2t9VbongEwF+JyE/bPamUikAPIgecShgRtYebPZ5Mz7NB29PqmT32CICDxohsWyKSUUrllVJHRITjKIg6xMLqBs7OLbudDLx4eREiAqWU20khG/VUPalaQcJkrF5nt+41EXnUs5e8cSU/v7yOa4vrbieDqnC61xPnDCbqIF6odjJxPIV31RMo5hrYH8uNRB3ECz2eTFzxzruanRTQiW2JyEUi4qlA8fxllii8qtlJAauJAvijHaSHiNrk6sIa5hbX3E5GCbvIelezkwJWwykgiTqEl0oTAHAuv4y1zQJu232L20mhCpwUkKhLeakhGwAKRUHu6hJ+8J5XuJ0UqsBJAYm61DMurGi3nRfYoO1Jdc/1pJT6EQAhAFkROdOyFBFRyxWK4pkxFFYvsEHbk+qd6+kYgCz0aTpmlFK/0tJUEVFLnb62iKW19i99uh02aHvTtoFCKfUhADkAPSKyC8BbAAwppe5tbdKIqFWePO+t9gnT81cWIMJe9l5TT4miV0Q+LCLXAUBEcsbkgNHWJo2IWuWpi94MFIurm7h8wztddklXT6DQqjzuzW8aEW3ryQvVftbu41Qe3uP0FB5E5HHXFtdwcX7F7WRU5eayrGRvJ1N4bHlcKfXBnSWHiFrNq9VOphdZovCcnUzhEVZKVY7Y5hQeRB53wqMN2SaWKLxnJ1N4XLd5nFN4EHncCQ+3TwDAhfllrKwX8PJbOZWHV7gyhYdSagR6l9sgAIhIsp7XGa9NiMhwvdsT0U1rmwU895K3q3ZE9Hmf3vrau9xOChnaPoWHUmoUQE5EUkaA6FVK1dXV1nhtf73pIaJyz11awEah6HYytnUu7/7yrHST0yvc1SMmIinL/TSAbUsISqlQ65JE1B28Xu1kOju35HYSyKKtgUIpFbZ5OA8gUsfLI9CDChE16cQFbzdkm87OsUThJe0uUQShBwYrDQCUUoFqL1JKRQAca2G6iHxPRDomULDqyVvaHSgC2NozygwctXpMBUSkM8rMRB51YX4F88vrbiejLufyy5zzyUPaHSjsMnszQFSWNAAASqloRZtGTbOzs1BKlW6HDx9uIplE/tMppQkAWFrbxNxSZwS1blD3ehQOyUMvVVgFAMCuxGA0YDdUkti3bx9mZ2ebTiCRX3VKQ7bp7NwyXrXnNreTQWhzoBCRrFKq8tsaBJCp8pIwgJClEfwAgIAxDiMlIrkWJZXIdzqpRAEA5/JL6HtTj9vJILS/RAEAyYrqpAEACfNJoxQRNsZZlFU5KaViAEIiMta+5BJ1voXVDeSuddbUGOfmvDtxYbdp+zgKEYlDLyVEjZLBTEVAiMBmXIURJAaN147U6iVFROWeungdndY2fDbPsRRe4UaJArVKBMZo7S1TelR7nIi291SHVTsBHEvhJW6MzCaiNuu09gkAmNVWOmK6kW7AQEHkcxuFIk52pMh+AAAWO0lEQVTOdl6gKBQFsxrbKbyAgYLI505cuI6V9YLbyWgKR2h7AwMFkc89ftp2LGtHOMN2Ck9goCDyucdPd+6y9+c4i6wnMFAQ+dj1lQ08e8nbCxXVwqonb2CgIPKxqTN5FDttAIUFu8h6AwMFkY91cvsEAOSX1rGwuuF2MroeAwWRj32/wwMFwOonL2CgIPKp8/llX4xDOMfqJ9cxUBD5VKdXO5lYonAfAwWRT/klUJxloHAdAwWRDxWKgsmz/ggUrHpyHwMFkQ89e+kGFlc33U6GI87ll1Esdm4XXz9goCDyIT/0djKtbhRwdXHN7WR0NQYKIh/q5Gk77LBB210MFEQ+s7y+iZMXb7idDEeducY5n9zEQEHkM9mzmu8W/GGJwl0MFEQ+47dqJ4CBwm0MFEQ+slko4hsvXHM7GY7j5IDuYqAg8pGHn7uCSz6YtqPSpesrnBzQRQwURD4hIvjUd864nYyWEIHvGug7CQMFkU9868VrePHKotvJaJkTFzS3k9C1drudAKK6FDaBhVlgfQm45Vbj9jL9f5MIIEUAAhQ2gOKG/rrCuv74ntcAd+wFdvnv+khE8H+/fcbtZLTUiQvX3U5C12KgIO9ZXwYuPQFcfhrQzgLaOeD6BaBY2Pm+d98OvPJ1wCtfrweO9SVgZR5YzgOrmn7/jr3AnlcDd96t3175euA1bwfuei2g1M7T0ALZc/N46qK/M9KTs9exWShi9y3+C/Rex0BB7SUCrC/qmb4Ub96W54ALU8CFST1AFFs0T9HmKjA3o9+qWVsA5s9sffzOu4HXvkO/7XmNHliW88BKXg82d94N7P9J4NX3tb3U8kmflyYAYGW9gJmrS3jra+9yOyldh4GCWmdFA05/Qy8R3LgE3LgILLykZ9adaOkqMPOIfqvmxDHgzlcB974HCP1z4J4fbnkp5JnZG76ZUnw7T17QGChcwEBBzhLRSwTPfBHIfV1vH+g2S9eAp7+g317zduDHfg14zX0tezu/9nSy8+R5DQ/0v8HtZHQdBgraGRE9Y7x+HsjngFMPAnMvup0q77h8Evj7XwXe8tPAu2LAnrsd3X3u6iIePXXF0X16md/bYbyKgYIaY5YYTj0IXDulNzJv+G+Al+NeeEivhvuhIeAHf1ZvLHfAJ7512pH9dIqXrq/iyo1VvPoVt7udlK7CQEH1WZkHXkgDz30ZmD/rdmo60+YakP20frv7rXo7xr0/DvTc21Q7xtdOvoT0M5edT6fHPXnhOgbuY6BoJwYKqk0EmPpr4InPtq4nUje6ekq/TX4cCLwR6Pv3QOi9dfeWOp9fxh8++GyLE+lNJy5oGLjvNW4no6u4EiiUUiMAcgCCACAiyTq2B4ADACZFZKy1KSQAQLEIfOfP9EZZah3tHPDwR/UeU+8eBl7XV3Pz9c0ifusLT2F53YFxJR2IA+/ar+2BQik1Cj2zT5n3lVJR877N9gkRGbbcn1ZKgcGixYoF4BujwPP/6HZKusfVU8CXfxN4w7v1gLG313azP3/kBZx6aaHNifOO5y8vYGW9gJffeovbSekabgxxjFUEhTSAYbsNlVIBAJUTvCQAHGpR2ggANteBzGEGCbec/z7wd78CPPIH+vgTi8eev4q/nTzvUsK8oVAUPD3LUkU7tTVQKKXCNg/nAUSqvCQIYEQpFap4POBowuim9WXgH38LOP2Y2ynpbiJ6T6nxXwK+/WfAch6Xb6zi97/8jNsp8wRWP7VXu6uegtADg5UG6KUHESkrPYhITinVJyI5y8MDADKtTWaXOj8JfPOPgYVL229L7VHcBE7+HXDqQXy/8G7cvvyDuKH2up0q13Em2fZqd9VTAEYDtoUZOCofBwCISNb826iKiqBKVRUAzM7OQilVuh0+fHhnKe4Gq9eBR48AX/0gg4RHba4v4Z/Mfgn/szCKQ5v/B+8pTuI2WXM7Wa45cfE6ikVxOxldo90lCrvLADNA1DNZzQSA+ytKGGX27duH2dnZZtLWfUSA3KN61cbKvNupoRpurGzCzBZ/AKfxA8XT+Hf4ezyifgwTu/4FCqq7erovrm7i9NwSeu/e43ZSukK7v115bG1fCABAZbVTJaO31Ki1hEE7MHtcHx9x6YTbKaE63FjZugzobdjAv5TH8JbCGfzFLb+EvOquprsTFzQGijZpa9WTkclXBoQgtmlzUEpFAaRFJGPct2sUp3pcOgH8wwf0G4NER1jbLGJlo/qYiTfjHD5a+F94e/H5NqbKfWzQbh83uscmjYzfNAC9yysAQCkVsj6vlIpADyZTSqmA0QNqqG2p9YvFq8BXPgh86df10gR1jOs2pYlKe7CMDxY/jl8oPgQlxTakyn3ZcxpE2E7RDm0PFCISBxBSSkWNEdczFeMqSo3VRuN1GnogmTduMwAqu8tSLXMz+gymFybdTgk1SFBfoAAABeBfFTMYKR5FQPx/tX1JW8HMVf+uEe4lrrSA1RpVbUznkTT+1qB//6lZF6eBhz6iL/FJHWdpfRObDfbuuU9m8AeFP8XHdw3i+K63tShl3vDoc1fx5ldzIaNW4+KzfvZCGvjqCINEB7u+XF9potIeLOMDxU/hlwtfwMukuX10gm5ai8NNDBR+9cRngUf+O2d87WAFESys7ezzu1++i98rfAxvljPOJMpjXryyiPP5ZbeT4XsMFH703FeA7ye23448bWF1E0601b4OV/CRwl/ivxT+Gm+UizvfocewVNF6DBR+M3tcn4aDOp7WZLVTNT8iz+GjhY/h/YXPYJ/4Z8GjR59joGg1Bgo/uX5Rb7guduc6BX6yXqg9dmInDshT+IPCn+Bniw/DkSKLy56evYHLN1bdToavMVD4xdoi8LUPA2vdu06Bn8w7XJqotAuCaPEfMVz8W+z2QWP3N05ddTsJvsZA4QfFAvDw7+krpVHHWy8UMb+03pb3+qdyHIcKCbxSOvsCg+0UrcVA4Qff/Qvg/ONup4IccmVhDe2sEHozzuF3C3/W0Q3dx89pbQuu3YiBotM991V9vQLyheWNAhZW29+leS+u47cLf4m3Vp+Y2dOKInjsBVY/tQoDRSe7/AzwrT9xOxXkEAFcbZS9DRv4zcJfd+yYC/Z+ah0Gik61NAekPwIUOr8hknQ3VjewuuHuhH63Yx0fLHwC+6Xz1uWePDOPhVX+HlqBgaITba4D6d8Blq65nRJySFH0tgkveDnW8KHC0Y5rs9goFPHtF+fcToYvMVB0GhHgOx8DLp90OyXkoPzyOjYL3hnTcCdWES8cxeuls5bGffhZ/wwk9BIGik7zzBeBZ7/sdirIQZtFwdyiN0oTVnuwjHghiTdK5ywt/M0XrnHupxZgoOgkZ74NfPtjbqeCHCQALl1fRYMzibfNK7CEQ4W/wls6pIG7KIJPfvuM28nwHQaKTvHSSSBzGOiS1cu6xdzSOhZ3OENsq92BVYwUknhH8ZTbSanL105ewqy24nYyfIWBohPMn9Gn5yhwQJGfLK0XcNUjDdjbuRWb+EDxkzhQ9P4665tFwWe+d9btZPgKA4XXLV4FvvohzuHkMxtFwcUOu+rdjSLeV/x/eE/R+0vqfumJ2Y4Jwp2AgcLL1haABz8ELHIgkZ8UAVycX0HBqw0TNeyC4D8WJ/BzxYynZ57dKBRZqnAQA4VXrd4AHowD+dNup4QcduXGasumEG+Xf1N8CP+h+HnsEu8exxeOX0Ce8z85goHCi5bzwD/8BnD5abdTQg4SANeW1ls+hXi7/JR8H79R/DRuE29W8axtFPG5xzmjshMYKLxm4SXgS78O5Dtzcjayt1kUnM8v+67e/EfkWXy4kMRdsuh2UmxNTJ3H9RV/BGY3MVB4yfxZ4IvvB65fcDsl5KDF9U3kri1had271TQ7EcJ5/G7hf3tyYN7yegF/y1LFjjFQeMXVU3pJYolTJftFEcDlhTWcz3dmw3Uj7sY8PlL4c7y7+ITbSdniU985g6cuXHc7GR2NgcILct/Qg8Qqv8x+sFEUXF1cw4tXFruqMfVWbOJ9xc9iqPBlTzVybxYFv/WFp6Atd89n4TQGCjeJANlP6zPBbvqr7robrWwUcFFbwcyVRVxbXPd9KaKan5HH8MHiJ7BHltxOSsnlG6v4nS8+jWKXfiY7xUDhls014JGPApOfcDsl1CSBviLdlYU1zFxdwpm5ZdxY3WzrMqZe9TZ5Ef+j8Md4Z9E7Pfe+l5vDJ79zxu1kdKTdbiegKy1eBR76beDqc26nhBok0EsO15c3sLC22bWlhnq8Eov4QPFT+J78MP5m189jQe1xO0k4+lgOP/T6V+LAvUG3k9JRWKJop2IROPl54NgvM0h0mE0R5JfWkbu2hLNzy9BWNhgk6vSj8iSOFP5Ib+h2eTR3UQQf+fuTvuum3GoMFO0yNwN88df0acI3OF9+p1jdLGL2+ipevLyIywtrWN/k7L3NuAvLeF/xsxgpHsVbxd0xQvmldfznzx3nuhUNUOLh+Vqa0d/fL1NTU24n46b1Zb3B+sQ4pwjvEAK9//3c4ppvxz647RT240u77sdJ9RZAKVfSsOf23fj9n3s7fvwtr3Ll/b1GKTUtIv22zzFQtMiNS8DTXwCe+wqw7s1Rq1SuKMDC2gbyS+tY3WBQb4fTeD0e3PUTmFZvw6Z6mStpOPieEH7lx/dj1y53ApZX1AoUrjRmK6VGAOQABAFARJJObu8aEX0t6xPHgDPfYgmiAxQBLK1t4sbKBhbXNj270pxf7ccFvK/4WSziDnxbhfH1Xe/CrHptW9Nw9Js5PHPpBn7v59+GV9zuTrDyuraXKJRSowAmRSRld3+n2+/bt09mZ9s4lcDGKjB7HDj/PeDc94GFzliM/vA/nMHhn73X7WS0XEEEy+sFLK8XUBQB9H8A9IbNpTqCw58/egnv/6l7Wp7WTufUeXoBb8J3d70Tx9V9yKuAAymrzytf/jL823e/EYP9b8Ce21p7DX348GEcPny4pe/RKE9VPSml5kWkx3I/AiAuIgMObS8tOyYRYPGy3jA99wJw+Rk9SHTgynPqPz0G+aufcDsZjhEAhaJgsyjYLBSxslHA0lrBkem87zt8HM8cfufOE+lzrThP53APsuptOL7rPpzFPohqff+bPbfvxi8eeCOG3vWGlpUwlFLwWrW/Z6qelFJhm4fzACJObO+IzTVgZV6fxXXxsv7/wkvAjYv6jK5cac5RZgavX+zrPxzjwh8igqLoV/5FERSLegmhUBQjKBT1/wt6gCD/eSMu4Y1yCb9QyGANt+I8Xovz6h6cV/fgnNqHa+jBDdyJgnIuK1tc3cTRb+bwucfP4b0/8Gq8ae8deH3wDryh5w68vufluP1ltzj2Xp2i3W0UQegZvZUGAEqpgIhoO9xet3pdbx8oFoDipuVWADZX9eqijaWb/6/e0F+zqumP2ZBb7wRe+46KB8v+q3zYljJuW/ZveZ2IGBmlsa2y/l/+amV9veV1pWy3ShqBx7D2uh+FCFCEkVHLzcxZLK8wM3FzG8DMvIFiUVAoZeSCgpGxiwgKRWuabgaBougrkK0Xitgs1JnBKwCu/T6P40pPn1tv3kFaf55eAeBt2MTbcB7AeQD6d3v1lj1YvuUuLN/yCqzvuh0b6jZsqluxsetWbKjbUFAvQ0HtNm7630XsgigFwS4UsQtQClLx+7q+tIInl1bx5Lk8AAWl9Cqqu25/Gfbcvht33b4bd922G3fetht33Krf7rztFtxx627cessuqF3ALqWwS+n/K0uDeWVXa6n4lSrj/RT0Eoj5SmsnMdWmHmNtrXpSSkUBHK2oSgoAmAfQK1LewbrR7Y3n1wFYy4uXAHhv/mP37QPPS714rurD81Q/L56rN4nI3XZPtLtEYVcCMMfSV5YcmtkeInJrE+kiIqIq2j0yOw+gshtDAACqVCM1uj0RETmsrYFCRLLYWkoIAsg4sT0RETnPjbmekkbbg2kAQMK8o5QKVTxfc3siImotV6bwsIy0DgHQrCOtlVIxAIPWcRK1trfZdxTAARGJ2zwXAHAIwCT0ksmUUWrpOtucpxHcLMkFRGSsrYkj8jHj9wUAB6APHq76+1JKJURkuD0pq843cz0ZA/HC0EscucqTawSJh0Wkz7gfAzAgIoNtT6yL6jhPI9YvrjGWJdKtwWK7H3XHTC/TYnWep6rPd4vKjF8pNQ1g3O58GLNQRMw8y02+WbhIRDIAMkqpvdjaAA4Ao7BUWYlIUil1rF3p84o6ztMQgDHL9lml1KF2pc9L7H7UxojaMeP+lulllFLRatPL+FUd56nm893CuFitbHNNQM+bKgNrqF3pqkc3rUcRQ0UjOHtO2corpSaML7VZ8hp3OU1tV+NHbQ2asYqgkAbgejVBO213nuo8j90iCGDEJgjYXbBFoH+fPKErAoXlgwkppaJKqZilKEzlhqFXTZ02zlG+266QDTV/1K5ML+NN22V+jWSOvmYMEO6rGCg8gIoLWKN62FO1HV0RKKA3ggMARCRl1iMbVQdkYXyJE9AzvVHoX+SuU8ePuub0Mq1PoTdsd57qzRy7hbXzjPE9iWBrKbT69EQu8XQbxXY/uAZOpvmDtq5olAEwDWBLr59O4+B5glIqAWBCRHqNaqdRpVSw2xr9gao/arNhMYCbswSYzO9ZEPazCvjSNudp2+c73Q5+fxMA7rcGUa+2cXk2UBjdN2tezSqlNLvunTY0YMsHtv3kgh3AyfNkVqcYDd5mg38GwIwTafUCB3/UDU8v00mczPwafL6jNPv7M2ozRiuCaAgevcDwbKAwoqojkVVEckopTSkVsnxBfTEViJPnCXpGVxYUjHPnuSucZjj5o4aPp5dx+DzV/Xwnaub3Z5zftHlBppQKG+ckDL0d1Wz/OgAgYLQVptwMrp4NFC1wBHqR1+znPgQfVDs5SUQySim78Se+uPpz8kdtdBv25fQyDmd+dT3fLYyG6iD0Lupm9eUQgGxllZNR9RvyQjdi3wQKc2AYgCiAoFJqBkDG/DKKyJhSasTS22nOCx9Au213ngDEjSu/Usmizuo936n1ozY2SVbUKXfl9DLbnac6zmNXMI7d7PJq/Z5sCcrmDBXQSxgjAJJullR9MzKbyEnq5ronlVLWhv1Gppfxo+3OU73nkbyNgYKIiGrqlnEURETUJAYKIiKqiYGCyAHGhIAzRueA7bYT439PTfxGVA0DBZEDjJ5hcaDqPFBWORGJ+2XQGfkfAwWRs1KoMoOs0U3UMzOCEtWLgYLIWQkAD7idCCInMVAQOcioTsqp8nXefTXCnboPAwWR8xLYWv3UzzYJ6lQMFEQOM0ZnR7ppXQryNwYKotZIQV9+1+wFNVV7cyLvYqAgag1r9VOw06cep+7GQEHUAtbptGttZ6zhPq+UiiilEnWMwSBqOwYKIudUjrROAThqBg07xhTlZrVUHOwZRR7EQEHkAHP1NqNUYDZiJ2BZyMjoMhuHvsbAaEVjd05ENFZRkRdxmnEilyml0gAGGSTIq1iiICKimhgoiFxkzP/UD+AQx12QV7HqiYiIamKJgoiIamKgICKimhgoiIioJgYKIiKqiYGCiIhqYqAgIqKaGCiIiKgmBgoiIqqJgYKIiGpioCAiopr+P/HQSdDZELzmAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1186d1a50>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"cenmask = mock['upid'] == -1\n",
"lowm, highm = 13., 13.5\n",
"halo_mask = (mock['host_halo_mvir'] > 10**lowm) & (mock['host_halo_mvir'] < 10**highm)\n",
"\n",
"num_clusters = np.count_nonzero(cenmask & halo_mask)\n",
"\n",
"fig, ax = plt.subplots(1, 1)\n",
"\n",
"from scipy.stats import gaussian_kde\n",
"kde_sats = gaussian_kde(mock['restframe_extincted_sdss_abs_magr'][halo_mask & ~cenmask])\n",
"kde_cens = gaussian_kde(mock['restframe_extincted_sdss_abs_magr'][halo_mask & cenmask])\n",
"\n",
"x = np.linspace(-12, -25, 100)\n",
"sats_pdf = kde_sats.evaluate(x)\n",
"cens_pdf = kde_cens.evaluate(x)\n",
"\n",
"__=ax.fill(x, cens_pdf, alpha=0.9, \n",
" label=r'${\\rm centrals: 10^{13}M_{\\odot}} < M_{halo} < 10^{13.5}M_{\\odot}}$')\n",
"__=ax.fill(x, sats_pdf, alpha=0.8, \n",
" label=r'${\\rm satellite: 10^{13}M_{\\odot}} < M_{halo} < 10^{13.5}M_{\\odot}}$')\n",
"\n",
"legend = ax.legend(loc='upper left')\n",
"\n",
"ylim = ax.set_ylim(0, 1)\n",
"xlim = ax.set_xlim(-16, -25)\n",
"xlabel = ax.set_xlabel(r'${\\rm M_{\\rm r}}$')\n",
"ylabel = ax.set_ylabel(r'${\\rm PDF}$')\n",
"title = ax.set_title(r'${\\rm Group\\ Halo\\ CLF}$')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## $\\langle M_{\\ast}\\vert M_{\\rm halo}\\rangle$ relation"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x116eadf90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, 1)\n",
"\n",
"cenmask = mock['upid'] == -1\n",
"num_cens = np.count_nonzero(cenmask)\n",
"nskip = 200\n",
"__=ax.scatter(np.log10(mock['mpeak'][cenmask][::nskip]), \n",
" mock['restframe_extincted_sdss_abs_magr'][cenmask][::nskip],\n",
" s=0.1)\n",
"\n",
"ylim = ax.set_ylim(-16, -24)\n",
"xlim = ax.set_xlim(10.5, 14.25)\n",
"\n",
"xlabel = ax.set_xlabel(r'${\\rm M_{\\rm halo}\\ [M_{\\odot/h}]}$')\n",
"ylabel = ax.set_ylabel(r'${\\rm M_{\\ast}\\ [M_{\\odot}]}$')\n",
"title = ax.set_title(r'${\\rm central\\ galaxy\\ stellar}$-${\\rm to}$-${\\rm halo}$-${\\rm mass\\ relation}$')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Map ${\\rm g-r}$ and ${\\rm r-i}$ onto every galaxy "
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"from cosmodc2.sdss_colors import gr_ri_monte_carlo\n",
"\n",
"magr = mock['restframe_extincted_sdss_abs_magr'] \n",
"percentile = mock['sfr_percentile']\n",
"redshift = np.zeros_like(magr)\n",
"\n",
"gr, ri, is_red_ri, is_red_gr = gr_ri_monte_carlo(\n",
" magr, percentile, redshift, local_random_scale=0.1)\n",
"\n",
"mock['restframe_extincted_sdss_gr'] = gr\n",
"mock['restframe_extincted_sdss_ri'] = ri\n",
"mock['is_red_gr'] = is_red_gr\n",
"mock['is_red_ri'] = is_red_ri\n",
"\n",
"\n",
"from cosmodc2.sdss_colors import remap_cluster_bcg_gr_ri_color\n",
"_result = remap_cluster_bcg_gr_ri_color(\n",
" mock['upid'], mock['host_halo_mvir'], \n",
" np.copy(mock['restframe_extincted_sdss_gr']), \n",
" np.copy(mock['restframe_extincted_sdss_ri']), \n",
" mock['is_red_gr'], mock['is_red_ri'])\n",
"gr_remapped, ri_remapped, is_red_gr_remapped, is_red_ri_remapped = _result\n",
"\n",
"mock['_gr_no_remap'] = np.copy(mock['restframe_extincted_sdss_gr'])\n",
"mock['_ri_no_remap'] = np.copy(mock['restframe_extincted_sdss_ri'])\n",
"mock['restframe_extincted_sdss_gr'] = gr_remapped\n",
"mock['restframe_extincted_sdss_ri'] = ri_remapped\n",
"mock['_is_red_ri_no_remap'] = np.copy(is_red_ri)\n",
"mock['_is_red_gr_no_remap'] = np.copy(is_red_gr)\n",
"mock['is_red_gr'] = is_red_gr_remapped\n",
"mock['is_red_ri'] = is_red_ri_remapped\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Compare color one-point functions in mock to SDSS"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1559caa90>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"npts = int(1e6)\n",
"\n",
"from cosmodc2.sdss_colors.sdss_completeness_model import retrieve_sdss_sample_mask\n",
"\n",
"magr_max = -18.\n",
"magr_min = magr_max - 0.3\n",
"mask = retrieve_sdss_sample_mask(\n",
" sdss['z'], sdss['restframe_extincted_sdss_abs_magr'], magr_min, magr_max)\n",
"sdss_sample_gr18 = sdss['restframe_extincted_sdss_gr'][mask]\n",
"mock_mask = (mock['restframe_extincted_sdss_abs_magr'] < magr_max)\n",
"mock_mask *= (mock['restframe_extincted_sdss_abs_magr'] > magr_min)\n",
"mock_sample_gr18 = mock['restframe_extincted_sdss_gr'][mock_mask]\n",
"\n",
"magr_max = -19.5\n",
"magr_min = magr_max - 0.3\n",
"mask = retrieve_sdss_sample_mask(\n",
" sdss['z'], sdss['restframe_extincted_sdss_abs_magr'], magr_min, magr_max)\n",
"sdss_sample_gr19p5 = sdss['restframe_extincted_sdss_gr'][mask]\n",
"mock_mask = (mock['restframe_extincted_sdss_abs_magr'] < magr_max)\n",
"mock_mask *= (mock['restframe_extincted_sdss_abs_magr'] > magr_min)\n",
"mock_sample_gr19p5 = mock['restframe_extincted_sdss_gr'][mock_mask]\n",
"\n",
"magr_max = -21.\n",
"magr_min = magr_max - 0.3\n",
"mask = retrieve_sdss_sample_mask(\n",
" sdss['z'], sdss['restframe_extincted_sdss_abs_magr'], magr_min, magr_max)\n",
"sdss_sample_gr21 = sdss['restframe_extincted_sdss_gr'][mask]\n",
"mock_mask = (mock['restframe_extincted_sdss_abs_magr'] < magr_max)\n",
"mock_mask *= (mock['restframe_extincted_sdss_abs_magr'] > magr_min)\n",
"mock_sample_gr21 = mock['restframe_extincted_sdss_gr'][mock_mask]\n",
"\n",
"magr_max = -22.5\n",
"magr_min = magr_max - 0.3\n",
"mask = retrieve_sdss_sample_mask(\n",
" sdss['z'], sdss['restframe_extincted_sdss_abs_magr'], magr_min, magr_max)\n",
"sdss_sample_gr22p5 = sdss['restframe_extincted_sdss_gr'][mask]\n",
"mock_mask = (mock['restframe_extincted_sdss_abs_magr'] < magr_max)\n",
"mock_mask *= (mock['restframe_extincted_sdss_abs_magr'] > magr_min)\n",
"mock_sample_gr22p5 = mock['restframe_extincted_sdss_gr'][mock_mask]\n",
"\n",
"\n",
"fig, _axes = plt.subplots(2, 2, figsize=(10, 8))\n",
"\n",
"((ax1, ax2), (ax3, ax4)) = _axes\n",
"axes = ax1, ax2, ax3, ax4\n",
"\n",
"nbins = 40\n",
"\n",
"__=ax1.hist(sdss_sample_gr18, bins=nbins, alpha=0.8, normed=True, label=r'${\\rm SDSS}$')\n",
"__=ax1.hist(mock_sample_gr18, bins=nbins, alpha=0.8, normed=True, \n",
" color='red', label=r'${\\rm protoDC2\\ v4}$')\n",
"\n",
"__=ax2.hist(sdss_sample_gr19p5, bins=nbins, alpha=0.8, normed=True, label=r'${\\rm SDSS}$')\n",
"__=ax2.hist(mock_sample_gr19p5, bins=nbins, alpha=0.8, normed=True, \n",
" color='red', label=r'${\\rm protoDC2\\ v4}$')\n",
"\n",
"__=ax3.hist(sdss_sample_gr21, bins=nbins, alpha=0.8, normed=True, label=r'${\\rm SDSS}$')\n",
"__=ax3.hist(mock_sample_gr21, bins=nbins, alpha=0.8, normed=True, \n",
" color='red', label=r'${\\rm protoDC2\\ v4}$')\n",
"\n",
"__=ax4.hist(sdss_sample_gr22p5, bins=nbins, alpha=0.8, normed=True, label=r'${\\rm SDSS}$')\n",
"__=ax4.hist(mock_sample_gr22p5, bins=nbins, alpha=0.8, normed=True, \n",
" color='red', label=r'${\\rm protoDC2\\ v4}$')\n",
"\n",
"for ax in axes:\n",
" xlim = ax.set_xlim(0, 1.25)\n",
" leg = ax.legend()\n",
"\n",
"ax1.set_xticklabels([''])\n",
"ax2.set_xticklabels([''])\n",
"title1 = ax1.set_title(r'$M_{\\rm r} \\approx -18$')\n",
"title2 = ax2.set_title(r'$M_{\\rm r} \\approx -19.5$')\n",
"title3 = ax3.set_title(r'$M_{\\rm r} \\approx -21$')\n",
"title4 = ax4.set_title(r'$M_{\\rm r} \\approx -22.5$')\n",
"xlabel3 = ax3.set_xlabel(r'${\\rm g-r}$')\n",
"xlabel4 = ax4.set_xlabel(r'${\\rm g-r}$')\n",
"\n",
"figname = 'sdss_gr_distribution_vs_pdc2v4.pdf'\n",
"fig.savefig(figname, bbox_extra_artists=[xlabel3], bbox_inches='tight')"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x119a45550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"npts = int(1e6)\n",
"\n",
"from cosmodc2.sdss_colors.sdss_completeness_model import retrieve_sdss_sample_mask\n",
"\n",
"magr_max = -18.\n",
"magr_min = magr_max - 0.3\n",
"mask = retrieve_sdss_sample_mask(\n",
" sdss['z'], sdss['restframe_extincted_sdss_abs_magr'], magr_min, magr_max)\n",
"sdss_sample_ri18 = sdss['restframe_extincted_sdss_ri'][mask]\n",
"mock_mask = (mock['restframe_extincted_sdss_abs_magr'] < magr_max)\n",
"mock_mask *= (mock['restframe_extincted_sdss_abs_magr'] > magr_min)\n",
"mock_sample_ri18 = mock['restframe_extincted_sdss_ri'][mock_mask]\n",
"\n",
"magr_max = -19.5\n",
"magr_min = magr_max - 0.3\n",
"mask = retrieve_sdss_sample_mask(\n",
" sdss['z'], sdss['restframe_extincted_sdss_abs_magr'], magr_min, magr_max)\n",
"sdss_sample_ri19p5 = sdss['restframe_extincted_sdss_ri'][mask]\n",
"mock_mask = (mock['restframe_extincted_sdss_abs_magr'] < magr_max)\n",
"mock_mask *= (mock['restframe_extincted_sdss_abs_magr'] > magr_min)\n",
"mock_sample_ri19p5 = mock['restframe_extincted_sdss_ri'][mock_mask]\n",
"\n",
"magr_max = -21.\n",
"magr_min = magr_max - 0.3\n",
"mask = retrieve_sdss_sample_mask(\n",
" sdss['z'], sdss['restframe_extincted_sdss_abs_magr'], magr_min, magr_max)\n",
"sdss_sample_ri21 = sdss['restframe_extincted_sdss_ri'][mask]\n",
"mock_mask = (mock['restframe_extincted_sdss_abs_magr'] < magr_max)\n",
"mock_mask *= (mock['restframe_extincted_sdss_abs_magr'] > magr_min)\n",
"mock_sample_ri21 = mock['restframe_extincted_sdss_ri'][mock_mask]\n",
"\n",
"magr_max = -22.5\n",
"magr_min = magr_max - 0.3\n",
"mask = retrieve_sdss_sample_mask(\n",
" sdss['z'], sdss['restframe_extincted_sdss_abs_magr'], magr_min, magr_max)\n",
"sdss_sample_ri22p5 = sdss['restframe_extincted_sdss_ri'][mask]\n",
"mock_mask = (mock['restframe_extincted_sdss_abs_magr'] < magr_max)\n",
"mock_mask *= (mock['restframe_extincted_sdss_abs_magr'] > magr_min)\n",
"mock_sample_ri22p5 = mock['restframe_extincted_sdss_ri'][mock_mask]\n",
"\n",
"\n",
"fig, _axes = plt.subplots(2, 2, figsize=(10, 8))\n",
"\n",
"((ax1, ax2), (ax3, ax4)) = _axes\n",
"axes = ax1, ax2, ax3, ax4\n",
"\n",
"nbins = 40\n",
"\n",
"__=ax1.hist(sdss_sample_ri18, bins=nbins, alpha=0.8, normed=True, label=r'${\\rm SDSS}$')\n",
"__=ax1.hist(mock_sample_ri18, bins=nbins, alpha=0.8, normed=True, \n",
" color='red', label=r'${\\rm protoDC2\\ v4}$')\n",
"\n",
"__=ax2.hist(sdss_sample_ri19p5, bins=nbins, alpha=0.8, normed=True, label=r'${\\rm SDSS}$')\n",
"__=ax2.hist(mock_sample_ri19p5, bins=nbins, alpha=0.8, normed=True, \n",
" color='red', label=r'${\\rm protoDC2\\ v4}$')\n",
"\n",
"__=ax3.hist(sdss_sample_ri21, bins=nbins, alpha=0.8, normed=True, label=r'${\\rm SDSS}$')\n",
"__=ax3.hist(mock_sample_ri21, bins=nbins, alpha=0.8, normed=True, \n",
" color='red', label=r'${\\rm protoDC2\\ v4}$')\n",
"\n",
"__=ax4.hist(sdss_sample_ri22p5, bins=nbins, alpha=0.8, normed=True, label=r'${\\rm SDSS}$')\n",
"__=ax4.hist(mock_sample_ri22p5, bins=nbins, alpha=0.8, normed=True, \n",
" color='red', label=r'${\\rm protoDC2\\ v4}$')\n",
"\n",
"for ax in axes:\n",
" xlim = ax.set_xlim(-0.1, 0.6)\n",
" leg = ax.legend()\n",
"\n",
"ax1.set_xticklabels([''])\n",
"ax2.set_xticklabels([''])\n",
"title1 = ax1.set_title(r'$M_{\\rm r} \\approx -18$')\n",
"title2 = ax2.set_title(r'$M_{\\rm r} \\approx -19.5$')\n",
"title3 = ax3.set_title(r'$M_{\\rm r} \\approx -21$')\n",
"title4 = ax4.set_title(r'$M_{\\rm r} \\approx -22.5$')\n",
"xlabel3 = ax3.set_xlabel(r'${\\rm r-i}$')\n",
"xlabel4 = ax4.set_xlabel(r'${\\rm r-i}$')\n",
"\n",
"figname = 'sdss_ri_distribution_vs_pdc2v4.pdf'\n",
"fig.savefig(figname, bbox_extra_artists=[xlabel3], bbox_inches='tight')"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x118002fd0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"faint, bright = -21.5, -22.5\n",
"\n",
"mask = (mock['restframe_extincted_sdss_abs_magr'] < faint) & (mock['restframe_extincted_sdss_abs_magr'] > bright)\n",
"from cosmodc2.sdss_colors.sdss_completeness_model import retrieve_sdss_sample_mask\n",
"sdss_mask = retrieve_sdss_sample_mask(sdss['z'], sdss['restframe_extincted_sdss_abs_magr'], \n",
" bright, faint)\n",
"\n",
"\n",
"num_sdss_sample = np.count_nonzero(sdss_mask)\n",
"num_mock_sample = np.count_nonzero(mask)\n",
"num_to_plot = int(min(num_sdss_sample, num_mock_sample)/2)\n",
"\n",
"sdss_indices = np.random.choice(np.arange(num_sdss_sample), num_to_plot, replace=False)\n",
"sdss_sample_gr = sdss['restframe_extincted_sdss_gr'][sdss_mask][sdss_indices.astype(int)]\n",
"sdss_sample_ri = sdss['restframe_extincted_sdss_ri'][sdss_mask][sdss_indices.astype(int)]\n",
"\n",
"mock_indices = np.random.choice(np.arange(num_mock_sample), num_to_plot, replace=False)\n",
"mock_sample_gr = mock['restframe_extincted_sdss_gr'][mask][mock_indices.astype(int)]\n",
"mock_sample_ri = mock['restframe_extincted_sdss_ri'][mask][mock_indices.astype(int)]\n",
"\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4))\n",
"\n",
"__=ax1.scatter(sdss_sample_gr, sdss_sample_ri, s=0.1, color='blue')\n",
"__=ax2.scatter(mock_sample_gr, mock_sample_ri, s=0.1, color='red')\n",
"\n",
"\n",
"xlim = ax1.set_xlim(0.25, 1.1)\n",
"ylim = ax1.set_ylim(0.2, 0.6)\n",
"xlim = ax2.set_xlim(0.25, 1.1)\n",
"ylim = ax2.set_ylim(0.2, 0.6)\n",
"\n",
"xlabel = ax1.set_xlabel(r'${\\rm g-r}$')\n",
"xlabel2 = ax2.set_xlabel(r'${\\rm g-r}$')\n",
"ylabel = ax1.set_ylabel(r'${\\rm r-i}$')\n",
"title1 = ax1.set_title(r'${\\rm SDSS:\\ M_r \\approx -22}$')\n",
"title2 = ax2.set_title(r'${\\rm protoDC2\\ v4:\\ M_r \\approx -22}$')\n",
"\n",
"figname = 'sdss_gr_ri_vs_magr22.pdf'\n",
"fig.savefig(figname, bbox_extra_artists=[xlabel3], bbox_inches='tight')"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1031808d0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"faint, bright = -19.5, -20.5\n",
"\n",
"mask = (mock['restframe_extincted_sdss_abs_magr'] < faint) & (mock['restframe_extincted_sdss_abs_magr'] > bright)\n",
"from cosmodc2.sdss_colors.sdss_completeness_model import retrieve_sdss_sample_mask\n",
"sdss_mask = retrieve_sdss_sample_mask(sdss['z'], sdss['restframe_extincted_sdss_abs_magr'], \n",
" bright, faint)\n",
"\n",
"\n",
"num_sdss_sample = np.count_nonzero(sdss_mask)\n",
"num_mock_sample = np.count_nonzero(mask)\n",
"num_to_plot = int(min(num_sdss_sample, num_mock_sample)/2)\n",
"\n",
"sdss_indices = np.random.choice(np.arange(num_sdss_sample), num_to_plot, replace=False)\n",
"sdss_sample_gr = sdss['restframe_extincted_sdss_gr'][sdss_mask][sdss_indices.astype(int)]\n",
"sdss_sample_ri = sdss['restframe_extincted_sdss_ri'][sdss_mask][sdss_indices.astype(int)]\n",
"\n",
"mock_indices = np.random.choice(np.arange(num_mock_sample), num_to_plot, replace=False)\n",
"mock_sample_gr = mock['restframe_extincted_sdss_gr'][mask][mock_indices.astype(int)]\n",
"mock_sample_ri = mock['restframe_extincted_sdss_ri'][mask][mock_indices.astype(int)]\n",
"\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4))\n",
"\n",
"__=ax1.scatter(sdss_sample_gr, sdss_sample_ri, s=0.1, color='blue')\n",
"__=ax2.scatter(mock_sample_gr, mock_sample_ri, s=0.1, color='red')\n",
"\n",
"\n",
"xlim = ax1.set_xlim(0.25, 1.1)\n",
"ylim = ax1.set_ylim(0., 0.6)\n",
"xlim = ax2.set_xlim(0.25, 1.1)\n",
"ylim = ax2.set_ylim(0., 0.6)\n",
"\n",
"xlabel = ax1.set_xlabel(r'${\\rm g-r}$')\n",
"xlabel2 = ax2.set_xlabel(r'${\\rm g-r}$')\n",
"ylabel = ax1.set_ylabel(r'${\\rm r-i}$')\n",
"title1 = ax1.set_title(r'${\\rm SDSS:\\ M_r \\approx -20}$')\n",
"title2 = ax2.set_title(r'${\\rm protoDC2\\ v4:\\ M_r \\approx -20}$')\n",
"\n",
"figname = 'sdss_gr_ri_vs_magr20.pdf'\n",
"fig.savefig(figname, bbox_extra_artists=[xlabel3], bbox_inches='tight')"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x154c38850>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"faint, bright = -18.0, -19.0\n",
"\n",
"mask = (mock['restframe_extincted_sdss_abs_magr'] < faint) & (mock['restframe_extincted_sdss_abs_magr'] > bright)\n",
"from cosmodc2.sdss_colors.sdss_completeness_model import retrieve_sdss_sample_mask\n",
"sdss_mask = retrieve_sdss_sample_mask(sdss['z'], sdss['restframe_extincted_sdss_abs_magr'], \n",
" bright, faint)\n",
"\n",
"\n",
"num_sdss_sample = np.count_nonzero(sdss_mask)\n",
"num_mock_sample = np.count_nonzero(mask)\n",
"num_to_plot = int(min(num_sdss_sample, num_mock_sample)/2)\n",
"\n",
"sdss_indices = np.random.choice(np.arange(num_sdss_sample), num_to_plot, replace=False)\n",
"sdss_sample_gr = sdss['restframe_extincted_sdss_gr'][sdss_mask][sdss_indices.astype(int)]\n",
"sdss_sample_ri = sdss['restframe_extincted_sdss_ri'][sdss_mask][sdss_indices.astype(int)]\n",
"\n",
"num_to_plot_mock = 5*num_to_plot\n",
"mock_indices = np.random.choice(np.arange(num_mock_sample), num_to_plot_mock, replace=False)\n",
"mock_sample_gr = mock['restframe_extincted_sdss_gr'][mask][mock_indices.astype(int)]\n",
"mock_sample_ri = mock['restframe_extincted_sdss_ri'][mask][mock_indices.astype(int)]\n",
"\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4))\n",
"\n",
"__=ax1.scatter(sdss_sample_gr, sdss_sample_ri, s=0.1, color='blue')\n",
"__=ax2.scatter(mock_sample_gr, mock_sample_ri, s=0.1, color='red')\n",
"\n",
"\n",
"xlim = ax1.set_xlim(0., 1.1)\n",
"ylim = ax1.set_ylim(0., 0.6)\n",
"xlim = ax2.set_xlim(0., 1.1)\n",
"ylim = ax2.set_ylim(0., 0.6)\n",
"\n",
"xlabel = ax1.set_xlabel(r'${\\rm g-r}$')\n",
"xlabel2 = ax2.set_xlabel(r'${\\rm g-r}$')\n",
"ylabel = ax1.set_ylabel(r'${\\rm r-i}$')\n",
"title1 = ax1.set_title(r'${\\rm SDSS:\\ M_r \\approx -18.5}$')\n",
"title2 = ax2.set_title(r'${\\rm protoDC2\\ v4:\\ M_r \\approx -18.5}$')\n",
"\n",
"figname = 'sdss_gr_ri_vs_magr18.pdf'\n",
"fig.savefig(figname, bbox_extra_artists=[xlabel3], bbox_inches='tight')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Cluster halo colors"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x11833cb10>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"magr_mask = mock['restframe_extincted_sdss_abs_magr'] < -21\n",
"cenmask = mock['upid'] == -1\n",
"cluster_halo_mask = mock['host_halo_mvir'] > 10**14\n",
"\n",
"\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 4))\n",
"\n",
"nbins = 80\n",
"__=ax1.hist(mock['restframe_extincted_sdss_gr'][~cenmask & cluster_halo_mask & magr_mask], \n",
" bins=nbins, normed=True, alpha=0.8, \n",
" label=r'$z=0\\ {\\rm cluster\\ satellites}$')\n",
"__=ax1.hist(mock['restframe_extincted_sdss_gr'][cenmask & cluster_halo_mask & magr_mask], \n",
" bins=nbins, normed=True, alpha=0.8, \n",
" label=r'$z=0\\ {\\rm cluster\\ centrals}$')\n",
"\n",
"\n",
"legend = ax1.legend()\n",
"xlim1 = ax1.set_xlim(0.25, 1.2)\n",
"ylim1 = ax1.set_ylim(0, 12)\n",
"xlabel1 = ax1.set_xlabel(r'${\\rm g-r}$')\n",
"ylabel1 = ax1.set_ylabel(r'${\\rm PDF}$')\n",
"_title = r'$M_{\\rm halo}>10^{14}M_{\\odot};\\ M_{\\rm r}<-21$'\n",
"title1 = ax1.set_title(_title)\n",
"\n",
"nskip = 5\n",
"__=ax2.scatter(\n",
" mock['restframe_extincted_sdss_gr'][~cenmask & cluster_halo_mask & magr_mask][::nskip],\n",
" mock['restframe_extincted_sdss_ri'][~cenmask & cluster_halo_mask & magr_mask][::nskip], \n",
" s=0.25, label=r'${\\rm cluster\\ satellites}$')\n",
"nskip = 2\n",
"__=ax2.scatter(\n",
" mock['restframe_extincted_sdss_gr'][cenmask & cluster_halo_mask & magr_mask][::nskip],\n",
" mock['restframe_extincted_sdss_ri'][cenmask & cluster_halo_mask & magr_mask][::nskip], \n",
" s=0.25, label=r'${\\rm cluster\\ centrals}$')\n",
"\n",
"xlim2 = ax2.set_xlim(0., 1.25)\n",
"ylim2 = ax2.set_ylim(0., 0.6)\n",
"xlabel2 = ax2.set_xlabel(r'${\\rm g-r}$')\n",
"ylabel2 = ax2.set_ylabel(r'${\\rm r-i}$')\n",
"_title = r'$M_{\\rm halo}>10^{14}M_{\\odot};\\ M_{\\rm r}<-21$'\n",
"title2 = ax2.set_title(_title)\n",
"\n",
"figname = 'cluster_halo_colors_v4.pdf'\n",
"fig.savefig(figname, bbox_extra_artists=[xlabel1, ylabel1], bbox_inches='tight')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Compare color-dependent clustering to Zehavi+11"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"from cosmodc2.sdss_colors import zehavi11_clustering\n",
"from cosmodc2.sdss_colors.sdss_measurements import rp as rp_zehavi\n",
"\n",
"wp_blue18p5, wperr_blue18p5 = zehavi11_clustering(-18.5, subsample='blue')\n",
"wp_red18p5, wperr_red18p5 = zehavi11_clustering(-18.5, subsample='red')\n",
"\n",
"wp_blue19p0, wperr_blue19p0 = zehavi11_clustering(-19, subsample='blue')\n",
"wp_red19p0, wperr_red19p0 = zehavi11_clustering(-19, subsample='red')\n",
"\n",
"wp_blue19p5, wperr_blue19p5 = zehavi11_clustering(-19.5, subsample='blue')\n",
"wp_red19p5, wperr_red19p5 = zehavi11_clustering(-19.5, subsample='red')\n",
"\n",
"wp_blue20p0, wperr_blue20p0 = zehavi11_clustering(-20, subsample='blue')\n",
"wp_red20p0, wperr_red20p0 = zehavi11_clustering(-20, subsample='red')\n",
"\n",
"wp_blue20p5, wperr_blue20p5 = zehavi11_clustering(-20.5, subsample='blue')\n",
"wp_red20p5, wperr_red20p5 = zehavi11_clustering(-20.5, subsample='red')\n",
"\n",
"wp_blue21p5, wperr_blue21p5 = zehavi11_clustering(-21.5, subsample='blue')\n",
"wp_red21p5, wperr_red21p5 = zehavi11_clustering(-21.5, subsample='red')\n"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"...calculating wp for 4.00e+05 galaxies and Mr < -18.5\n",
"...calculating wp for 4.00e+05 galaxies and Mr < -18.5\n",
"...calculating wp for 4.00e+05 galaxies and Mr < -19.0\n",
"...calculating wp for 4.00e+05 galaxies and Mr < -19.0\n",
"...calculating wp for 4.00e+05 galaxies and Mr < -19.5\n",
"...calculating wp for 4.00e+05 galaxies and Mr < -19.5\n",
"...calculating wp for 1.69e+05 galaxies and Mr < -20.5\n",
"...calculating wp for 2.50e+05 galaxies and Mr < -20.5\n",
"...calculating wp for 9.31e+03 galaxies and Mr < -21.5\n",
"...calculating wp for 3.71e+04 galaxies and Mr < -21.5\n"
]
}
],
"source": [
"from cosmodc2.mock_diagnostics import zehavi_wp\n",
"\n",
"protoDC2_littleh = 0.7\n",
"\n",
"period = mock.Lbox\n",
"x, y, z, vz = mock['x'], mock['y'], mock['z'], mock['vz']\n",
"magr = mock['restframe_extincted_sdss_abs_magr']\n",
"\n",
"rp_mids, wp_v4_18p5_blue = zehavi_wp(x, y, z, vz, \n",
" period, magr, -18.5, protoDC2_littleh, \n",
" subsample='blue', gr_colors=mock['restframe_extincted_sdss_gr'])\n",
"\n",
"rp_mids, wp_v4_18p5_red = zehavi_wp(x, y, z, vz, \n",
" period, magr, -18.5, protoDC2_littleh, \n",
" subsample='red', gr_colors=mock['restframe_extincted_sdss_gr'])\n",
"\n",
"rp_mids, wp_v4_19p0_blue = zehavi_wp(x, y, z, vz, \n",
" period, magr, -19.0, protoDC2_littleh, \n",
" subsample='blue', gr_colors=mock['restframe_extincted_sdss_gr'])\n",
"\n",
"rp_mids, wp_v4_19p0_red = zehavi_wp(x, y, z, vz, \n",
" period, magr, -19.0, protoDC2_littleh, \n",
" subsample='red', gr_colors=mock['restframe_extincted_sdss_gr'])\n",
"\n",
"rp_mids, wp_v4_19p5_blue = zehavi_wp(x, y, z, vz, \n",
" period, magr, -19.5, protoDC2_littleh, \n",
" subsample='blue', gr_colors=mock['restframe_extincted_sdss_gr'])\n",
"\n",
"rp_mids, wp_v4_19p5_red = zehavi_wp(x, y, z, vz, \n",
" period, magr, -19.5, protoDC2_littleh, \n",
" subsample='red', gr_colors=mock['restframe_extincted_sdss_gr'])\n",
"\n",
"rp_mids, wp_v4_20p5_blue = zehavi_wp(x, y, z, vz, \n",
" period, magr, -20.5, protoDC2_littleh, \n",
" subsample='blue', gr_colors=mock['restframe_extincted_sdss_gr'])\n",
"\n",
"rp_mids, wp_v4_20p5_red = zehavi_wp(x, y, z, vz, \n",
" period, magr, -20.5, protoDC2_littleh, \n",
" subsample='red', gr_colors=mock['restframe_extincted_sdss_gr'])\n",
"\n",
"rp_mids, wp_v4_21p5_blue = zehavi_wp(x, y, z, vz, \n",
" period, magr, -21.5, protoDC2_littleh, \n",
" subsample='blue', gr_colors=mock['restframe_extincted_sdss_gr'])\n",
"\n",
"rp_mids, wp_v4_21p5_red = zehavi_wp(x, y, z, vz, \n",
" period, magr, -21.5, protoDC2_littleh, \n",
" subsample='red', gr_colors=mock['restframe_extincted_sdss_gr'])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot the results"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAm0AAAHrCAYAAACdCqrmAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMS4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvNQv5yAAAIABJREFUeJzs3Xlc1FX3B/DPBXMpk0XTpEwdTHMpFUaTtDRDzfYUtcXKNrBssTJGW7XNwBZbDdpLf6VQWc+TlYxly6P1CGRZphZYVrYqaPVUVp7fH4cRhAFm+c7+eb9e81Jmhu9cNW7ne++55xgRARERERGFt7hQD4CIiIiImsegjYiIiCgCMGgjIiIiigAM2oiIiIgiAIM2IiIiogjAoI2IiIgoArQI9QACrUOHDtKtW7dQD4OIosyXX34Jzi1EZLWysrKfReQAd69FfdDWrVs3lJaWhnoYRBRl7HY75xYispwx5qvGXuP2KBEREVEEYNBGREREFAEYtBERERFFAAZtRERERBGAQRsRERFRBGDQRkRERBQBGLQRERERRQAGbUREREQRgEEbURQrLi5Geno6kpKSGn2Pw+FAUlIS8vPzgzgy7zgcDjidTrfPFxYWwuFwoLKysslr5Ofno7i4GPn5+SgvLw/UUIliAucWVVhYiMLCQlRXV6OyshIOhyOQwwVEJKof6enpQhTLioqKRH/UGyorK5OsrCzJy8sL8qg8U1JSInl5eWKz2aSkpGSv1zIzM6WsrGzP12lpaY1eJysra6/3ZmZm+j02zi0U6zi3iOTl5QkAASA2m00qKir8HhuAUmkkponYlTZjTJYxJtMYk2eMSQv1eIjCmc1mc3u3uH37dlRWViItzZofoeLiYkyYMMGSawFAZmYmcnNzYbPZ9nq+srISpaWle407OTnZ7R0zADidzr3ea7PZGn0vEXku1ueWxMREVFVVoaqqChUVFQ2uZ7WIDNqMMTYAOSLiBLAGwKwQD4koLFVWVsJms7mdWJ1OJ+x2O8rLy5GZmenX59SdUIuKivy6lifKy8uRnJy813M2m83ttqfT6WwwkSYmJqKkpCSgYySKZpxbaiUmJiIxMTHQQwMQoUGbiFQCcIXcgwBw9iVyo7y8HGlpaQ0m1urqaiQnJze4o/RW/Qk1KyvL7zF7IjExEdu3b2/wfEVFRYPnqqurGzzXvn37ZnPgiKhxnFtqFRYWori4GA6HI+D5si0CenUPGGOyAAwSkQbZe8aYXACVAJIBQEQKXa+JSHXN9ybWfZ6IGkpNTd1r0iktLUVmZiYcDodPd8LFxcVYvHgxJk2aFJS73/rsdnuDYKyystLt3a67CZiIrBHLcwug26yulfysrCykpqairKwsYCtvIVtpq8lHywWQA6DBn84YkwegUkSKa4Ky1JogbQ8RKQZQUvNeImpE3bth17YGoHfLgwYN8upaDocDixcvDurdb32JiYnIzc3dk2fimlTd5ZPU3+oAgG3btgV8jESxIJbnFgBuUy+WLFkSsPGFbKWtJh/NaYxpDzdBG4DseqtvJQAcAIprDh4k11yjHEBRzWtEVKO6unrP3V79idV1B+x0Or2+m83Ly9uzdZGTk+PV3XRhYSHKysqafI/D4fAomdc1juLi4j3vT01NbfC+xMREt1ukgU4YJopWnFtUZWUl0tPTUVVVtec5m83W5Faqv0K+PepOI6dBtwNw/QvaoYGes+ZXJqdQQE2fPh1r164NyWcPGDAA8+fP9/r7SktLYbfbAdROrE6nc89EWF5eDpvNtmfydTqdyMvLg8PhQFFREQoKChq9dlZWFrKysryeYLOzs73+czSl7t14ZWUlJk6c2OA9mZmZDbZIKysrkZOTY+lYiHzBuWVvkTS3ABrg1VVdXe02wLNKuB5ESIYGaXVVA4AxxpXD5sppy0HtoQQiqlFeXr5n0nS32lQ/UTgzM3PPnXL9iagxWVlZKCoqQnV1NSZMmBDUMhpJSUl7/kzFxcWYNGnSnj9veXn5XgnBmZmZe31dd0WAiLzDuUXnEpvNttef3VVg1+oAci+NFXAL1gNAHoCCes9lAaiq91witICdzZvrswAmxZqqqirJzs4WAHsVtszOzt7ze1dRybS0tL0KS/pbdLaoqEiysrL8ukZdZWVlkpubKwAkLS1trz9PQUGBFBUVSUFBgRQUFOz1fbm5uXv9eauqqiQ3N1eKiookNzd3r8KZvuLcQrGGc4v7uSUvL0/y8vIkOzs74MV1jb4eOjWHCBJFJKfOc5kAikQkqc5zNgAVAJJEpGGCSiPsdruUlpZaOWSiqDVq1CjWL/OQ3W4H5xYiz3Bu8ZwxpkxE7O5eC9ft0e1oeDghEdBSH95caOvWrTDG7HnMnj3boiESRRen04nS0lJ2CvAQ5xYiz3BusU5YHkQQkXJjTP3gLBl68MArKSkp2Lp1qzUDI4pimZmZe52CoqZxbiHyDOcW64TrShsAFNaryzYKQONHToiIiIiiWCiL66bVFNfNAjDRGJNbt9SHaI02W01j+FwAFaLFdL3i2sLg1gURWYlzCxEFWyiL65ZDC+PmN/GeRl/zFLcwiCgQOLcQUbCF8/YoEREREdVg0Fbf6tXA3Ln6KxEREVGYiPqgzau8k9WrgWHDgOuuA447joEbETWKOW1EFGxhWfLDSl7lnaxcCezerb/ftUu/zsgI1NCIKIIxp42Igi3qV9q8MmIE0KYNEB8PtGypXxMRERGFgahfafNKRgawYoWusI0YwVU2ssSImuB/5cqVIR0HEUUXzi2xJ+pX2rzOO8nIAGbNYsBGRE1iThsRBVvUr7Qx74RiUXV1NebOnYvU1FRUV1cjMzMTTqcTubm5qKysRF5eHgoLC5GVlYVBgwYBACoqKpCYmIi8vDyPr+XJ69HK67ll9Wqu4lPE49wSYiIS1Y/09HQhCqXhw4fL8OHDg/qZmZmZe31dUlIiNpttr+cASFlZ2V7PFRUVSVpamlfX8uSzopFXc8uqVSJxcSKASJs2+jWRnzi3RCcApdJITBP126NEsaa6urrBc5mZmcjMzGz2e7OysmC32+FwODy6lj+fFVPcnUwnijCcW0KPQRtRFHI6nQ0mvZycHI++d8KECcjPr+0g19y1/PmsmDFiBBBXM93yZDpFMM4toRX1QRuThSnUduzogy1bzgparebExERkZWWhe/fucDgccDqdAIC0tDSPvt9utwMAKisrm72Wv58VybyaWzIygPfeA+64Q0+oM6eNLMC5JQY1tm8aLQ/mtFEoaSrT7wL8HfRUpry8PLHZbAJAEhMTpaSkZK/X4SbvpO5rRUVFHl+rudejkVdzy65dIpMmibz1VsDGQ7GFc0v0QhM5bSEPqgL9YNBGoXTHHSLA3wKIxMfr18FWVVUl2dnZkpiYuNfzjU2sVVVVTb7m7lqevh5NvJpbPvtM5OCDdcodM0akkf+hEXmKc0v0aipoi/rt0bAycCBgs7GnaQzRVKa/APwdtFSm6upqVFZW7vk6MTERBQUFsNlsKC8vb/b7t2/fDkC3IZq7lr+fFTMOOwzYtAm46y6gtBRITwcmTgQ2bgz1yChCcW6JTQza6tq1Cxg3Dnj1VUDE2muvXg18/DGweTOb0ceQjAzgiCOuRvfuTwQtlamystLtpGa325GYmNjs9xcUFOypg9Tctfz9rJjSpg1wzTVARQVw443AsmVA377AxRcD33wT6tFRhOHcEpsYtNVVWQl8+CFw0kmA3Q4sXVp7TN9fPPIfsxIS1uOQQ/4vqLnnDoejwamryspK2Gy2Jr/P6XTC6XRi1qxZHl/L18+KWQkJwC236HwzbRrwzDNAjx7AjBnAtm2hHh1FEM4tsSfqOyJ4xbWFsXAhcPvtwOmnA0ccoXfF48bVHtn3hasZ/a5dPPJPAeWqPL5kyRIAuqWxbds2FBQUAMCequUAMHfu3AZVy8vKyjy+VnOvUxM6dgTuuw+46ipg9mzg3nuBRx/V4O2qq4C2bUM9QqK9cG4JPSNWbwOGmZSUFPnuu+9w8803e1f24++/geefB267TfNO+vQBbrhB81Di430bDNvYxCQ2dY5OKSkp8Gluacz69TrHvPQScMAB+vucHKBVq+a/d+BAYMcOYNEizi0xhHNLdDLGlImI3d1rUb89mpKSAhHxflJt0QKYPBn49FPguef0ubPO0uDt2Wc1qPMWm9ETRQ2f55bG9OkDvPgi8P77QL9+wJVXAr16AU8/DfzzT+Pfx3xZopgR9UGb3+LjgTPOANatA4qKgNatgXPP1a3UJ54A/vor1COkMLdy5UreCZPnjjxSC/AuXw506ABMmaJpGi+95P6AFPNlYxbnltjDoM1TcXFAVpYeVFi6VJOJL7wQOPRQoKAA+PPPUI+QiKKFMcCoUcCaNXqz+M8/mlc7ZAjw5pt7v9eVLxsfz3xZoijHoM1bcXHAqadqraVXXwUOPBCYOlVPfz30EPDHH6EeIRFFC2P0ZvGTT4DHHgO2btUt0NGjdQ4CNN1ixQrg1lvZIosoyjFo85UxwAknaP7IG28AXbsCl12mxXPnzwf+979Qj5CIokWLFrqy//nnwN13A+XlwKBBGtBt2MB8WaIYwaDNX8boXe+77+q2Ra9eely/e3dg3jzg119DPUIiihatWwNXX6013m66SW8Y+/bVgO7rr0M9OiIKsKgP2rZu3QpjjHUnvBpjDHDsscBbbwHvvAP07w/k5gLdugFz5wI7dwb284koqII2t7jTrh0wZ452V7j8cq0t2bMnMHMmUK8YKRFFj6iv02a326XUlfsRbKtXa57Ja68BSUnA9Ol6jD8hITTjISLL2O12hGxuqe/LL7UI+KJFOtdcf712W/CkxhsRhZWYrtMWUhkZ2l/wv/8Fjj4auPlmIDVVK59bedqUjeiJYlu3blo/srxcW/Bdc42maixcaF0rPiIKOQZtwTBoEPDyy3raa+BAzUnp1Usn2aaKZnqChTWJyGXAAM1zW75cV9zOOQdITwdKSkI9MiKyAIO2YHJNnsuXA8nJWqQ3LU23T33dpmZhTSKqb9QooKxMV9qqqvSw1OjRWmeSiCIWg7ZQGDVKV92ee05Pl55wAjBypG6jemvEiNpG9iysSUQucXHA2Wdr7+S779YgLi1NV9++/DLUoyMiHzBoC5W4OG2P9dlnwAMPaI/TI48EJkwANm3y/DoZGcB77wF33MHCmkTUUKtWmpJRUQE4HEBxsaZnXHMNsG1b09/LfFmisMKgLdRattSivBUVelDhtde0cfTUqcB333l2DRbWJKLmJCYCd96pN4Vnn60HolJTgbw84PffG76f+bJEYYdBW7jYf39g9mwN3qZOBR5/XFtj3XADsGNHqEdHRNGiSxfgiSc0IBs2TGu79ewJPPnk3gejmC9LFHYYtIWbTp2ABx/UbdNTTgFuv13vhufPZ1N6IrJOv37Av/+tBcE7dwYuuEBPny5bpgejmC9LFHaiPmgLadVyf/TooQcVXGVCrrrKujIhROS3iJ1b6hsxAvjgA2DxYt0mPfFEPRjVogXzZYnCjNuOCMaYGQBS/bx2hYjc5ec1/BbSjghWKinRJOIPPwSOOEJzU44/XttnEVHQhVVHBKvs2gUUFgK33AL89BMwaVLtaj8RBUVTHREaC9qWALjYz88tFJFJfl7Db1ETtAGaX7JkibaoqazUO+S8PGDw4FCPjCjmRGXQ5rJzJ3DXXVoq5K+/9PTpzTcDbdqEemREUc+XNlZrRGSHPw8AUTqbhZBVZUKIiJrSrp2utn3xBTB5st4cHn448OaboR4ZUUxzG7SJyDx3zxtjxhtjFhhj2tV5bpw31yALNFYm5IorgOrqUI+OiKJF58560vTNNzUV47jjgAsv1C4LRBR0Hh9EMMZcBMAJoLLu8yLyYmOBGwVY3TIhF18MPPSQHt1/4gk2iSYi6xx7rJYIcTiAp58GevfWIr2+tt8jIp94c3q0qmbrc56I7Kz3GrPhQ6lTJ2DBAj1peuiheieckaFf+4sV0YkI0Hy2O+8E1qwBDjpI0zJOPx349ttQj4woZngTtDV1S5Xk70DIAgMH6hH9Z54BvvpKDyjk5AA//+zb9VgRnYjqGzhQS4TMmwcsX66pGY88wtV9oiDwJmhLdbcNWrNtmmjdkMgvxmhD6I0btbbb44/rlumCBd7Xd2NFdCJyp0ULYMYMYN06YNAg4JJLgOHDgQ0bQj0yoqjmcdBWc7BgsDFmuzFmTc3jHwDp4VCPjepJSNDj+h99pFXOL70UsNuBVas8vwYrohNRU1JTtYbkk0/qafb+/YHbbtObPCKynFcdEURkJoDuAO6sefQQkUsCMTCySN++Ws188WItljl0KHDeecD33zf/vRkZrIhORE0zBpgyRUsRnX46cOONQHq6bqE2ZcQI3ggSecnrNlY1hxFeqHlsDsSgyGLGABMn6tbFrFnaHqtnT+Dee7VwZlMyMvR7GLARUVM6dQKefx545RUtPZSRAVx5JfDrr+7fv2MHsGULc2WJvBD1vUepjrZtddXsk090xe3qqzWp+K23Qj0yIooWJ5+sW6XTpmkR8L59tZZkXTzkROQTr4M2Y8xIY8yMmseAQAzKSlHT1NlKPXsCy5YBS5cCv/2mzaHPOAP45ptQj4woYnBuaUK7dhqwvfcesN9+wAknaGeFn37S13nIicgnbnuPNvpmY5YDsAEor3kqDUBZOPQYbUxU9R4NhN9/B/Lztf5SXJzmo1x1FdCqVahHRhTWorr3qJX+/BOYO1dX+du1A+bP19qPRx+tgVubNsyZJarD64bxjVxkLgCniKyo9/x4AHYRmeX3SAOAQZuHNm/W7dKlS7VA7/33A8cfH+pREYUtBm1e+vRT4KKLgPffB8aMAbKztTTRiBEM2Ijq8KVhvDuV9QM2ABCRF8Dm8JGve3fgpZdqc0/GjgVOO02DOSIif/Xtq9ulDzwA/Oc/Wk+ydWstAk5EHvEqaGviNXYpjxbHH68FM++8E3A6tdr5nDm6jUpE5I/4eOCyy4D167Wf6dVX66Gozz4L9ciIIoJXbayMMe3qP1nznNR7boa/A6MQatVKG0Nv2ACceqo2pe/fH3jnnVCPjIiiQZcuwL/+Bfzf/wFffKGn2PPzgb//DvXIiMKaN0HbVABlxpg36j4AbAbgqPPccgB5ARktBdfBB2vdJadTJ9Phw/UY/y+/hHpkRBHl7781nevttwEvzn5FN2OAM8/UXLcTT9QbxaFDdRWOiNzyJmizQQO3mfUemW6ea5D7RhHsuON0y3T6dO1h2rcv8PrroR4VUcTYtAl4+WXNuR80SBeYmqtrHTM6dQKKi/UGsaJCV93uvJOrbkRueBO0XSwiK0Tkw2Ye5QAcgRowhch++2kHhVWrtEjv2LHaDmv79lCPjCjs9emjxf8LCrQ04tlna9WLefO0eUDMMwaYNElX2U4+ubYLy6efhnpkRGGl0aDNGNOt7tci8mET723n6XvD3bvvAv/8E+pRhLEhQ4APPwRuuEGXC3r31rtkf7AHIcWANm20ysWnnwL//rfWuM7N1fSu6dN5UBsA0LGjzidLlgBffgmkpWl9N666EQFoeqUtx4vrhGWNNm999hlwzDFAaqrmxG7bFuoRhalWrYBbbwVKSzXvbcIEYPx4z5rQu8MehBRD4uI0hWvFCr3/Of104KGHgB499EeJPwbQv4j167Xs0PXX683iJ5+EelREIddU0OYwxnzuweMLALnBGnAgHXqo3uR166Y5sQcfrMnDH30U6pGFqf79gQ8+0PyTV1/VPaCnn/Yu05o9CCmGDRgAPPOMLirl5uqZn6OO0p3B4uIYX2A64ABg8WKgqEhv6tLSgNtvZzIgxbSmgrZ5AF6AHj5o7hEVBw9atNAFo5UrNVA75xzdARwwQFfgioo4XzTQooVGuB99pEHblCnaZ3DLFs++nz0IiXDQQdrp6euvtfbsTz/pYtOhhwL33RfjB7azsnRPedw4TcsYMkQPRhHFoEaDNhFxiMhM15cAKmoOItR/OAEUBGW0QeBKrzriCKCwUHuoz5unk+nEido44PbbgR9/DPVIw0yvXlrH7YEHNDGwb1/g4YdrA7LGjBih+0UA0LIlc9soprVtq7VnN24EXnxRV/unT9e8t9xcnYdi0gEH6OnS4mKdlNPTgdtu4100xZxmT4/WBGZvAqgyxhxnjBnp5uDBCwEbYSOMMdk1jwJjjM2q69ZPr0pOBmbM0PqPL7+sefc33KCT6HnnaVoX1YiL0//jfPKJ7u9Mm6ZB2KZNjX9PRoa2trnjDjaNpqjmzXmb+HjNdXv3Xc1AOP544J579KbxrLOAsrJAjjSMjR+vq27jxwM33ggceaSmVzSGh5woynhc8kNEdtQJ4FJdAVwAx9YoY0wagFIRKQRQVPPwW1PpVfHxwCmnACUlmh970UXACy9ozaWMDN1G3bXLilFEgW7dgDfeAJ58Urcx+vdvutp5RkbtEX+iKOXreZvBg2tLmE2fridP7Xatdf3KK80vZkedDh2A557TpcitW3XV7ZZb3K+68ZATRRlv6rTtUVOPbQV09W2NMWauxeNqjg21p1tLa772m6fpVb1762mvb78F5s8Hfv5Z6y517aodn777zorRRDhjNL9t/Xqt6eZwaC5KU3fFRFHKivM2XbsCd92lu4P33KOHF049FTjsMM1E+PVXy4cd3k4/XVfdJk4Ebr5Zo9u1a2tf5yEnikJeB23GmHbGmBnGmM8BLIEeQij0dQDGmCxjjNu2V8aY3JrXs40x2a7nRaQYtQV8MwE4ff38urxNr0pIAK68UvNPli3TQt5z5ujketZZOkfEfMuazp11SXLJEk3ISU8HbroJ+PPPUI+MKGisPG/Trh1w1VW68rZ4MZCUpJkInTsDF1+s26kxM++0bw8sWgS89JLeLQ8apHfOrr9kHnKiKONx0GaMGVfTV7QKwCAAU0XkUBGZKSJel4U0xmQaY3KhK2aJbl7PA1ApIsU126Cpxpgs1+si4qojPgnAxd5+vjsZGXoAoXt379Kr4uJ0MWnZMk3fuvRSrYBx1FE6hzz9NPDHH1aMMEIZU1t36cwztcZbWpr+34UoBgTivE2LFrrI9P772qhk4kRN0xgyROcx1y5ATDjtNJ1fzjhD75wHDwZSUnjIiaKPiDT6ADAAwCMAtgNYA21l5e597Zq6TjOfkQegwM3zVfW+zgRQUu+5XACJTV0/PT1dQmHnTpGHHhI57DARQKRDB5HrrhOprAzJcMLLq6+KHHywiDEiV10l8ttvoR4Rkde8nVsGDBDp3l1k1aoADUhEduwQKSwUGTxY552WLUUmTRIpKRH555/AfW5YefllkQMPFGnRQn/t1i2wf+lEFoPm7LuNaZpqY/U5NMG/CkC6iAwSkUcbebvb7U1f1Rw0qG87NHBzvScLQKGIVBtjMt28P6T2319X3NavB5Yv11W7uXO13+AxxwCPPaY5sjHphBM0F2XqVO1nesQRekyOKIp9+CFQWRnY8zbt2tVukX78MXDJJXp4atQo7fRy662aExfVTjlF55czz9QuLQkJ2kOMKAo0tT1qAMyEJvoPrNkeHWeMGV/zcH19LYDsJq7ji2RokFZXNQAYYxJrgrpHAZQZY6oQxg3qjdEJ85VXNB/WVePt4ouBTp20R/Krr8ZguaF27TR7euVKTcAZPlwTdf73v1CPjCgqHH64bpF++62ePu3RQ9NJu3bV+6YXX4ziE+/Jydpq4pVXgB9+2DvXjSiCtWjitWLxsP6aMaa9ReNxSYQGbnW5grhkESkHkGTxZwbceefpr599BqxZo3PK889rjn7Hjnp44Zxz9ECDMaEda9AMH67dFGbO1P/DvPqqlgoZOjTUIyOKCq1b683hpEl64/jEE/ojNn68zjvnngtceKGeQo06J5+sq25XXqm5bkuXAk89pW1uiCKQ25U2Y0w3qe2G0Cx37zXGdPN9WKh285wriKu/AtekrVu3whiz5zF79mw/hmUNYzRP9sEHtczQ0qXAsGG68JSernfI+fl6hxwT2rbVv4w339Qlx6OPBq6+mqtuFNbCcW5pTvfuukX61Vd6fzR0qN4r9e6tP3ZPPw389luoR2mx5GTg2We1Orpr1W3OnBjc3qBo0Nj2qBU5av5cYzsanihNBPY6NeqRlJSUvZL4Qjmxuqvz2LKl1lp64QU9sb5gge4cOhzadWHUKJ1vYqIG07HHajHeSy7RXLcBA/RYnK9YDZ0CKJzmFm/Fx9dukX7zjd4k/vijllbs3FnTTUtLo6x0iCvXbdIk3SodPFhX+YkiiBE3P5U1pT38aZRiAKSJyOhm36ilPRJFJKfe81UiklTn60wADhEZ5c1A7Ha7lIZBr6nVq3U1bfduzYltrqTI558DCxdqwLZ5M7Dfftov+dxzNbaJjw/e2EPizTd1z+arrzTX7bbbvE8mHjhQI+VFi9htgSxnt9sRDnMLUHtv4k8pMhHtKPfYY0BREfD779rM5MILgcmTtR5c1Fi6VCPTbdu0HdasWcA++4R6VEQAAGNMmYjY3b7o7kgpgAQrHo0dWa33WY2V/MgDkNXY154+QlXyo7477tAj+IBIfLx+7Yndu0XefVfk4otFEhL0+w86SMThEPnkk8COOeR27hS55BL9Q/fs6d2x/VWrROLi9HvbtOGRf7JcuMwtItaXE6muFlmwQCQ9XX+EWrcWOfdckf/8R+ekqPDzzyJnnql/wIEDRT76KNQjIhKRpkt++FRbzYoHgDRonbUKaFmRXOjqXP06bFk1v2b78jmdO3cWAHLzzTdb+pfqLStiiN9/F1myROSkkzTwA0TS0kTmzxf54Qfrxxw2nE6Rrl31L3DGDJH//a/57/E1SibyUDTNLU0pLxeZOlVk//31Mw4/XOSBBzSwiwovvijSsaPIPvuI3HKLyK5doR4RxbiwDNqC9YjWu+EffhC5777aO+H4eJGTTxZZujRK55ydO0VycvQP26uXyOrVTb+fK20UYOEytwTr/uSXX7Rwr2vOadNG5PzzRd5/PwpW3+quuqWliXz8cahHRDGsqaDNp4bx5Bsri2t27AhccYUmC3/6KXDNNVpG5LTTgEMO0YMMGzf6/zlhY//9gUce0UqcX5wiAAAgAElEQVShv/+ux95ycxvvD+ZrTzKiCBOIFlnutG2r9SVLS/UxebKWKxoyRLvSPfIIsHNnYD474Nq31x5gL7ygJzPS0zWPlidMKcwwaIsCffoAeXnaj/2VV4AjjwTuvlvrLh19tJYliprTp5mZesL0oouAefP0sMH777t/b0KCRrAM2CiKheL+JD0dKCzUkkULFuhzl1yi7T6zs4Eyf46xhdK4cXoXPG6cHlAYMgT45JOG7+PJdAqRqA/aXLWUIuk4vq9atNBakkuX6s1iXp4e4z//fD3Gf/HFGt9IpB/jb9cOKCjQ/mC//aarbg5Hw1W3lSv9O05H1IRwmltCdX/Srp0ewiwv19ZZkybpqXe7XR+PPhqBN4wdOmjV8+JivRNOS9NWNn//Xfsed/WbiILAbcmPaBIuJT9CRURLnT3+OLB4sdar7dOn9hh/x46hHqGfdu4EZszQ/zv07q3LioMHh3pUFAPCqeRHOKmu1sCtoEAXqfbfHzj7bCAnJwIbEfz0E3DZZboPnJ6u88svv3hXv4nIS02V/Ij6lbZY0NRKvTG6EPXEE9o7+dFH9e74mmuAgw7SVjbLlgH//BPMEVuoXTvdp3n9dZ1MMzK0JVZjuW5EFFCJiRrnfPwx8J//AKefrrHOwIGauvHEExHUdeGAA/Rut6hIa0amp2th3t279fVdu7iaT0HFoC0KeLpSv//+mgq2enVtO7533wVOPFGbSN9wgx6UiEhjxuht/fnn675werqezCAin/mTumUMcNRR2hrr22+1XdYvv+gqf0qKBnbr1lk52gDKygLWr9f2NcuX1z4fyJMfRG54HLQZY0YaY+YaYxYYYxbXPBYYY2YYY8J20Tuc8k4CYfVqvaPdvBk47jjPUyz69AHuuktz3154QSufz50LpKZqx4WFC/WQZkRJSNBy7q+9ptumQ4YA116r/6cgsli0zy1WSk7Wm8RPPwXeeUdzbx97TA9QDBumKWS7doV6lM044ADdJl2ypLYlzQknAL16hXZcFFOazGkzxiRAOxF0B1ACYDOAStQ2dE8EYKt5DAKwDdpqKmwOfkd7TtvcucB11+nv4+O1GfSsWb5d65tv9K74iSd0xS0hATjrLL0zTkvTO+eIsWOH5ro99pje1t99t2ZJR9QfgsJZLOS0BbIT3LZtum26YAFQUQEceKDmvWVn649sWBs6FPjyS805SUrSiffii/U0GJGfvG5jVRPIjQcwAx62o6r5ngQAFwMY5+n3BPoRLgUwAyUQNWT/+UfkrbdEJk/W9jWuLi8FBVpgM6KsXq3FMgGRY4+Ngd5fFCycW6zxzz8iy5aJnHCCiDEiLVqITJqk7fvCtmjv8OH6+OgjkREj9C/piCN04iTyE7wtrmuMGQ+gXETuEpEdnkaHIrJDRB4FsMIYM86byJJ8E4gaTXFxmqbx7LPAd98BDz2kBxVycvQO+NJLdUs2IgwZAvz3v3o7v3at7gNffbX/VUBZp4mi3MqVwcm3j4sDxo4FXn0V2LRJi4a/8YbWmBwwQA9Phd3BBVc5oSOOAN58Uw8qVFdrbsmECXpogSgA3AZtIvKCiGz29aI1wduLvg+LvBHIGk2JiRqkrV2r+XLjxgFPPqmxz1FHAc88EwG5b/HxWkxq0ybd650/X/NQFi6MgqJ1RIERrE4LdfXooZkM33yjh8IB3S49+GA98f7FF4Efg9eM0YMKGzYAc+Zo9HnYYcDNN2uNJSILWXJ61BgzIFwPIzBZ2BrG6KLVU0/pSbB77wW2bwfOO09Lh1x9dQS0zerQQYtHffAB0KULcM45wPDhvi0bsrhmzIv2uSWUneD2209TxNau1RPuY8YA998P9Oypp91fe612FTBstGkD3HSTBm+nngrccosGb4sX8+aQLONXcV1jzEAARQAqABgASQAmiMiXlozOAtF+ECHQXHfX7rZGRIC339aegy++qG36jj1WF7VOO03vzsPW7t164mLmTN3WmDZN75ITE5v/3tWrWVyTYuIgQlM//8G2dauuvhUUaP5/aqruApx/vp4FCDvvvqt7vWvX6l7vfffpyQ6iZgSyuO5EEekhImNEZLSIDAKQ4+c1KUIYo5P6889rt5e5c7X0yKRJupB13XX6dViKi9OidZs26f7LAw/olulTTzV/Cx+sZB8i2iMlRevafvUV8Nxz2prPVSQ8Oxv46KNQj7Ceo48GSks1yvzsM60dmZOjXRaIfORv0ObuNtPp5zUpjHi6C9ipky5aVVTo1kVGhta4TU3VUkavvLJ3676wkZwMPPywTq6pqXrbPmwY8OGHjX9PKJJ9iEIgkO17fT3L07IlcMYZupD14YfaImvhQj20cPTRuhv5119Wj9ZH8fEaUbpOWDz+uO7x3ndf44PkISdqgr9BW5Ixppsxpl3NYwCA7nW+nmvFICk0fCncGxcHHH+8Nq3/6itN8fjoI03x6N5d0zy+/TbwY/daWhrw3nt6yuKLL7Tb9bRpQFVVw/eGMtmHiPZwnS795hstFr51qwZ0XbtqtsP334d6hDWSkvQA1McfA4MGAdOn62muut0ViDzgb9CWD6AAQHHNIx/ARGieWzGAbD+vTyHk7y7gwQfXbme89BLQt68eqOraVU+hLl8eZsnEcXHAlCl6Vzxtmibr9eypd8f1BxrII7tE5JXkZN0q3bQJ+Pe/NZibPVvnmosu0t3JsNCnj9YzWboU+PNPPWFx6qm6ReHCQ07UlMYKuHnyAHCcP68H49G5c2cBIDfffLNvVe5iWCCKa37xhYjDIXLAAXpdm03k7rtFdu70/9qWW7tWZNgwHejgwSJr1oR6RBRGOLf4Z8AAke7dA1e0d9MmkUsuqS0QftJJIm+/HUYFe//4Q2TuXJH99hNp2VJk5kwRpzM4FY0prKGJ4rreBGgjAVzk6fvD5RHtVcsDLVAT6x9/iDz3nMjRR+t/hQkJGsx9+621n+O33btFnn1W5MADtVx7drbIzz+HelQUBji3+C5Y3RZERH78UWT2bJEOHfTzBg0SWbJE5O+/A/eZXvn2W5FzztHB7b+//gqIxMeL3HFHqEdHIdBU0ObN9uhoABMsXeajsBeoXcBWrTT35J13tGHB6NHAvHlAt27ABRcA69db+3k+MwaYPFmL0E2fXptIXFCgbSKIyGvBPIB9wAGalvHVV3rmqKoKmDgROPRQ4MEHw6DbQkqKVilfvVpzSlxatOCBBGrAm6BtjYiMCdhIKGYNGgQsWQJ8/rketHr+ec1/O/lkDeokHOpStmsH3HOP1lw6/HAtRme3A6+/HiYDJIocoTiAve++wCWXaO3bF17QE++XX643pTfeCPzwQ+DH0KQhQ4BPPtEBxcdrztvs2UBZWYgHRuHEm6Ctkv1EY08gj/y7uE6422x657tli578ev99bVgwZAhQXBwmC1v9+gFvvaWR5Y4d2jRx5EjtskBEHgnlAez4eD0ItXq1Hhg/5hjg9tv10EJ2dog7u8TF6V/KUUdpP6/SUr05nDRJ72op5nkTtNkAPGaMWWOMmRGubaso8nXooKVCtmzRPu/btmkP5l69dHsj5O38jNFJdMMGLcq7fr1GluPG+X9MjTWaKEaEwwHsoUP1ZPtnn+nB8Wee0c5Tp56qAV3IFtHj4rQ3YGUlcMMNeiS2d29d4d+6NUSDonDgbdB2HIBCAIMBvGmM+ccY84Yx5qKAjI5iWps2Okdt3KgrbR06aCWOrl111yDkhcVbtgQuu0yP68+ZAziduhJ30UXaIoKIQsrTe6BevbTCz5YtesP4n/9ood6jjtKt1JCt8ickALfeqnPM1KmaU9ujBzBrlvsakhT1vAnaqgEkicijIjJRRJIBHAqtx9YjIKOjmNBcWaL4eGD8eH39nXf0znzOHA3eLr1Ua+GGVNu2OtNXVGjV82ef1Szna68Ftm8P8eCIwlMwUi+81bGjzi1btgAPPQT8+COQlRXkVX53fzEHHqi5Ixs36op+Xp7mk+TlhcHWAwWTx0GbiDwKYLMxZmSd5yprgriZARmdBbZu3QpjDGbPnh3qoZAb3nRdMEbvfl95RXckzzpLbzx79dLt0//+N3jjduuAA4B779UKn2ecoTkpNps2ZfV0YmVhzYjBuSV67buv3hBu2gQUFQHt2+sq/yGH6EnUkK3y22zas+vDD3UZcOZMvUEsLAzTPoFkOXd1QAB0a6xGiKcPK65hxYO1lMLbHXf4V5Zo61atSZmQoNc45hiRf/1L5J9/AjNer6xbJ3LyyTqwzp1FFiwQ2bWr8fcHs3gV+Y1zS/izqs7k7t0i77wjcsop+uPZurXI1Kkin39uzTh99vbbIhkZOqiePbUAXVhMfuQP+FCnLcmfk6LGmPEAEn39food/h7979xZF7K+/lorcmzerKVC+vUDnnhCT82HTL9+uiz47rt6h3zJJVrLZMkS9/27glm8iijK+dI7uTGuVf6XX9ZDC5Mn6/zSq5fWfFuzxrpxe+WYYzQB7+WXgX320cEMHqz5tfXxkFNUcBu0iciHAFYYY+40xlxkjGnX3IVqGsRfXNMkvkxE1lo9WIo+Vh39339/4KqrNK1s4UINAC+8UK+bn6+7jiEzbJgGbv/6l1YVnjTJ/cQaiuJVRFEqUPdAhx2mTeq//BLIzdUeyoMHa+WfkJRtNAY45RTgo4+Ap57SvdtRo4DMzBBGkxQojea0icgO0Vy1zQDyjTFLjDGLjTFza0p+zKj5/WJjzHIAjwKoEJFZIvJlkMZPUcDKo//77AOcfbamfBx+OPD774DDAXTpoucCvvnG/8/wiTHASSdpcd6nnwZ+/rl2Yi0t1feEsngVUZQJ9D2Qa5V/yxbgrrs0/23sWG1Wv2gR8Ndf1n5es+LjgfPO04HMn69B3ODBmvAb0uJzZKVmDyKIyAoRmSoiEwHMBOCEBnKba34/U0RGi8gkEXkzsMMl8owxQHIy0L8/UF6u8dK99+ou5ZQpWng8JOLjgXPP1Un03nt1Yh00SLc1Nm0Kj+JVRFEgkPdAdXca27UDrrlGS6o99ZSeB5g8WStz3HdfCNpktWoFXHmlbjvcfLMu//Xtq3NOSPNFyArelPyAiGyuCeJeqHmsEJHNgRockRUGDgT+7/+0NMgll+hpsMMP10Du7bdDVECzVSvtZVpRoeVCli0D+vTRwI0TK5ElgnkP1LKlLnStW6eZEF276o/4IYfoj/iPPwZ+DHtp104LWlZU6NHX77/Xzi2TJwPV1UEeDFnFq6CtMcaYAeyQQL4KVL2m+tUzunXTO98tW4BbbtESISNGaDODkBXQbNdOC0NVVGiNge+/14HNmhXiRDwi8kVcnN4QvvMOsGqVnhW47TYN4qZN0x/1oOrYUUsQxcXpHeqiRRpJzp+vyX4UUfwK2owxA40xXwDIg+a9rTHGdLNiYET+aOrkWPv22iD6q69q22RlZWmC8SOPaB5c0HXqBNx/vy4HnnkmcOedQGqqTqxceSOKSBkZ2iZr/Xpd4HrsMaBnTz2LFNQ+8HVPZcTHayB31VXaGmvJkhD26yJv+bvSNlFEeojImJq8tkEAcqwYmFVYADM2eXJyrH6brKQk3T7t2lU7x2zbFswR13AVzywvB9LSaifW//s/92VCKGQ4t4S/YK3iN6fuidNrr9U0M7tdbyiXLw9CzFT/VMYzzwCvvaZVhCdN0ujyvfcCPAiyRGMF3Dx5ABjv5rnj/Lmm1Q8WwIxNvtSp3b1bZOVKkRNP1O/bd1+Ryy8X2bw54MNt3BtviPTvrwNKSxNxOkM4GKqLc0tssqIG9o4dIvPmiaSk6HX69xdZtEjkr7+sH+8e7ioN//23yOOP1w7ktNNENm4M4CDIE/ChuK6nkowx3WpqtLWryWvrXufruX5en8gnvpwcMwYYPhz49781mXjCBN0u7dFDdyzLywM/7gZGj9YPfvZZLROSmal1BT7+OASDISIr6r+1awfMmKHpG08+qdc5+2ydax54IEAnTt2dyoiPBy64QA9A3Xqr1o7s00eT74J+coI84W/Qlg+gANo0vrjm64kAimq+zvbz+kQ+8+fkWL9+eny/slJ3KF99FUhP19JqQdnOqCsuThNiNm7UglAffKDFoKZM0T0aIgoaK+u/tWxZW4LolVe0nuQVV9T2OP35ZwsG7In99gNuuEFzarOzgYICjSBvv50N6cOMv0HbBKnNZ6v7GCMio6EBHFHEOvhgYN48bZOVlwd8+ikwZox2YOjdO8gFNFu31oJQFRV6m/7885rVnJsLVFV5dg22siHySyDqv8XFafu9d9/VrlRHH60n3A85BLjsMl2RC4pOnYCHH9YocuRIDeR69tTlwJAcr6f6/AraRGSFP68TRYqEBI2NNm8GHn9cV9o2bNADnvfcA+zcGcTBJCVpb65NmzSJ+K67dCB33w388UcQB0IUmwJZ/+2oo4ClS/XE6ZlnAoWFtSkaH35o/ee5ddhhOoi33wYOOki3UNPSdJuBQsrjoM0Y84UxZludNlbjPOlJShRNWrXS+ctu1y3U1FRd/OrSRYO6oLbJOuQQbYn14YfarmbGDO1gvXAhT5oSRbjevfUG8csvdY559VWNm0aP1tQzr1M0fDlKe8wxwPvv66r+L7/oNsOYMdrJhULCm5W2HAA20d6idwFYAWCUMWZcYIZG5J9AHfcH9NBC+/bAW29pT+YTTtAVt+7dtUtVUOe0/v21hkBJiQ7qnHM0Aa+kJIiDICIr1M9gSEnRhXVXisYnn2hurd0OLF6sbbMCyhhd0f/sM53k1qzRNjNTpoSwmXPs8jhoE21ZtaPO1ztEW1m9aIyZEZjhEYU/ux147jnN4b3sMuDFF/WcwOjRQT604Go+v2iRtqkZPVofdfdUvC0wRURhoW6KxmOP6QnTM87QxfWHHw7CeYFWrfRUVkWFLv099xxw6KHA9ddrfgjzZYPCm+3RkU1sh7KRGcUUd7FPt27aA/7rr4G5c/WOeMwYXQh75pkgdYyJiwPOOksT7u65R8uup6Xp6tuLLzbeJoKIIkKrVsCFF2rO20svaXODadOCWBQ8KUlPZ23cCIwbB9xxhybdffst0zKCwJvt0ZkAqo0xnxtjFtTktLl6jqYHaHxEYaepFlmAzmkzZ9bWYNq9WxtJd++u2xxB6dVc967Y4dCWDxMn+l9giogCmnrhqbg44LTTtL/pO+9oD+WbbtJU1yuv1DZ9AdWtm67qr1kD9O2rWw1lZXoElgLGm+3R0SISB2AqgB0ArgNQDqAMWpeNKCZ4WlyzVStN+1i3TjvG9O6t8VOXLsDVVwdhUgWAxETtY7ppky77ucTHayVhIopoxmiJkH/9q7Yo+MMP6yGpyZODUIfbbgfefFMDt9279fBCTk6Q7k5jj9clP2py22aKiL0miBsEINH6oRGFJ2+LaxoDHH+8nvgqLwdOPVV7w6em6k5mUDotdOmix8969dJoctcu4MYbgc8/D8KHE1Ew1C0KfuWVwMsva3rG2LF6aCpg+bXGAB06aAB3zTWadNe7t67wsxm9pbwK2owx3eo/JyLlAJItGg9R2POnuObAgVqRY/NmYPp0bZmVnq51LJct08WvgObyHnggcOSRwIIFemjh8MO16nlQEu6IqDlWnBXq0kXLNm7Zoj/e5eU6xxx5pObBBSSO2rFD89rGj9ct05QUXfY79VRN9CVLeHMQ4REA5TW12hYYY0bWPN8OYZzTtnXrVhhjMHv27FAPhaKIv8U1u3TRmrhff605vZs2ASeeqHHUd98Bf/5p7Xj3Ygwwdaoe4T/5ZK16npampdjJY5xbyGrN5ct6KykJuO46TcV45BFtnDJunC6IvfaahcFb/YH/+ae227vrLr2z7dNHm6qyq4LfvFlpKxORZACjoDltxcaY3QCqAIRtQaiUlBSICCdWCksJCVoTt7JSe8IbowGczQY8+GCAGxykpABFRdr0cOdOYNgw4JJLmIviIc4tZDUrmtG707q1ppl99plun27frrUlhw3TbVO/uRt4ixa6VfrJJ8DQodpU9aijgpBkF928CdoqjTEXiUh5TU5bsojEiUi8iLwYsBESxYCWLTVpOD1ddyxTU4HLL9eT9A89FODg7eSTtX7A9OnaM6d3bw3mmItCFFRWNqN3p0ULPcm+caOuvH31lW6bZmb6uarX1MC7d9dlvUWLdCUuPV2X/37/3Y8PjF1eFdcFUOTaFiUi6xkDJCdry78VK3S+u+wyC4O3xmoVtG2rReb++1+gc2ctD3LKKZoUQ0RBEYhm9O60bKkrb198oT/269bpIthJJ/nY37S5gRujp64++0zvTufO1bvTFWxP7i2vDiLUdEF4M1CDIYoUgarT5EpCfv99vQN+5x09ddqtW23w9vDDAcx5S0/XwO2uu/QYf58+wPz5nuWisCI6kd8C1Yze3Y9n69a6wF5RoXHUqlWa3jphgi6+e8WTgbdvr8UrV6zQQC4zEzj//CBUBI4eXpf8IKLAcJeEbIz+/t13a4O3adMCHLy5clE+/VRrLl11lR478+kWnIjCXdu2tQXBb7oJeOMNLR9yzjm6Gme5kSN1srvuOj1Of9hhun3KlIxmMWgjChNNJSHXDd5KSvSG1hW8LVgQoOCtWzet7fb889oY2lWD6ddfA/BhRBRqCQnAnDl6MOraa4EXXtB4Kjs7AJkSbdpoPZKystpKwGPHauRIjWLQRhQmPElCdu0ovPdebfB26aXat/mRRwIQvBkDTJqkuSgXXaT9TPv106JyRBSVOnQA8vJ02/TSS4Gnn9Y55oorgO+/t/jDjjhCyw098ID+2revpmf8/bfFHxQdGLQRhQlvkpDrBm/LlwMHH6zVOgIWvCUlAQUFutS3775aVG7SpADM4EQULjp31u4tn3+up04ffljLETkcFqehxcdr0u769TqxXXstMHiwrsLRXhi0EYURb5OQjQFGjdIb1DfeAA46qDZ4KygIQKODYcM0t+2WW4ClS7U8SGFh7b4uEUWdQw7RH/MNG7Thwbx5enN58816eMoyXbpo763iYq0yPniwpmT89puFHxLZGLQRRQFjgNGj9fSXK3ibOjVAwVurVtq3dN06YMAArR0wfDjwww/+998hinGBPpnuz49njx5aBPyTT4AxY/TerXt34M47gd9eXWnNwI3RyPCzz4CLL9aUjPbtdRuCGLQRRZO6wdvrr+v2hit4KyzUw6CWVeXo2VPLgjzxBPDRR3obblX/HSKyjNXtsfr00frb5eVa323WrNouLpaloiUmaq7Hu+/q9um6dbrqFuN9khm0EUUhY/ROePXq2uAtJ0dLsH3/vYW7mcZonaXLL6997vffgX/9y6IPICJ/Bao91sCBwL//rTeJ/frpNDB4sM4zlhk2TOtHpqToqtuwYXq8NUZFdNBmjLEZYxJDPQ6icFU3eHvtNT2VunGjznsffWThB510Uu3RV0DvkN9kHW6icBDo9lgZGVpHsqhIsySGDNGSRJa1MY6L0+2C4mJtzjxwoP4+BkVs0GaMyQRQAMAe6rEQhTtjgOOP17muVy8tmJmWpnVzd+604APqHn199lmgUyc9IXHrrTykQBRiwWiPZQyQlaWpaFdcofdthx0G/N//WVgzd/x4PQjVu7e2bbj00gA3Zg4/ERu0iYgTQOyukVJUClQSsosxwIEHavpZdjZw3306/y1ZYsHE6jr6OnkysGYNcMYZWl597Fjgp58sGT8R+SZQ7bHqa9dOO9+VlurnnX223r9t2mTRB3Tvrnlu116rlcWPPFIntBgR8qDNGJNljMlr5LXcmtezjTHZwR4bUbRKTtb5bvVqXRSbNElX4j7/3KIPaNtW29MUFABvv61LfP/5j0UXJ6JwU7+36cCBOr88/LAGcIcfDsyebdHC2D77APn52rHl22+1W8uzz1pw4fAXsqDNGJNpjMkFkAOgQV5aTSBXKSLFIlIIINUYkxXscRJFk/rH/o88UhfFHnhAm9RbOrEao8t5q1drZ+rhw7XSOfsLEsWE+HitG7lhg26dzpmjc8zy5RZ9wAknaHJuejpw7rnAlClR32YvZEGbiDhFJB9AeSNvyRaRupmGJdAAj4h80Nixf1cx8g0bgHHjdGLt109PnVpi4ECtbH7aabqlceqpwPbtFl2ciMLdgQdqP/iSktrDUWeeqfVzPdJUkbmDDtJEvZtuAp55Bhg0SCe6KBXy7VF3jDFpbp7eDiAz2GMhihbNHfvv3FmThp1ODeTGjtVc32++seDDExL0aNn992s0mJZmcV0AIgp3mZkaT82ZA7z0kh5UeOgh4J9/mvgmT4rMtWihF3U69cjq4MGamhGFq/phGbQBSIYGaXVVA4CrxEfNVqkdwIRGgjwiqsPTY//HHadz5G23aQ2m3r21PNJff/k5AGO0kNN77+nXw4bpvmwUTqxE5F7r1rootm6dpmdcdpmWCGm0zag3ReZGjtTt0uHDtar4GWdY3Gcr9MI1aEuEBm51uYK4ZACoyXVLF5EcEWlsi5WIanhz7L9VK+D664FPP9UuCtdco2kjTZ4l8PTo6+DBWkp9zBitDTBxYtRNrETUtEMP1ZZ7zz2nq/mDB+t00GAq8LbIXMeOWpTyzjuBF17QVf01awLwJwiNcA3a3JXkcwVxTIYh8pG3x/5tNl1te+kl3XUYNgy48ELg55/9HEhysjaGzs/Xi9vtwNq1fl6UiCKJMboYtmGDllx78EE3JYh8KTIXFwc4HMA772hfraFDgXvvjYpV/XAN2raj4YnSRAAQEa9qLG/duhXGmD2P2bNnWzREothgjJ4hWL8eyM3VXN9evYDHHvOzbm5cnB5MWLkS+N//dI/k0UcjZmLl3EJkjYQEzZT47381t3bSJM2praio8wZfiswddZQW4z3hBODqq4FTTgG2bbN8/MEUlkFbzXZn/eAsGYDT22ulpKRARPY8OLES+aZtWyAvT+fAvn2Biy/eux1W/TpNHhs2TFfZhg/XEnsmiFMAACAASURBVCHnnhsRx/Y5t1AkCXTh7qYOeHrKbtfA7f77tZ9p377aVOXP3fv4ftHkZF3Nv/9+rTUyYEBtXm0ECsugrUZhvbpso6Btq4gohPr103q5Tz+t7bDS0/Um9u+//bjoAQcAy5YBt9yiR1gHD9aEOiIKe54c8PRUfLyeV9qwQVf4b7oJOKL0cbxVNcD3i7oOQa1apQm7I0YAt9/ezLHV8BTK4rppNcV1swBMrOl+sOcUqIg4ANhqOiLkAqioV7fNI64tDN4FE1nHGF0Q27BBV9zmz9dcX7+6VcXHAzfeqMWctm/XwO2ZZywbs9U4txApbw54eiolBXj+ea0Q9I/EY+TH8+Fw+HmKPT1dD0FNmADccIO2gfn+e/8HG0RGIiR/xFd2u11KS0tDPQyisODavrR6m+SDD7QG06+/6kGF++4D9tvPjwt+951W33z7bb3gxo0a1AVyf8dLdrsdnFuIdGVt2DAN3Nq0sb4p/f+OHoOrK6ah4LtTMHiwnji12fy4oAjw+OO6+paQoC33MsOnDKwxpkxE7O5eC+ftUSKKEEceqSfrDzkEeOIJzU3xqyh5585aKPP663Vy/fBDPaxARGHHlwOe3ti07k9M/d89KCrSxvMDB+oqnM+MAS66SLcH2rfXFbeFCy0bbyAxaCMiSxijk3ZJSW1R8ocf9uMwaIsWWuF32TLgzz91W4NN54nCkq8HPL2RlaVnlvr104X4Cy4AfvvNjwv266dNl485RvM9CgstG2ugRH3QxrwTouA67jg9UTpyJDBtGjB+vJ+tRseO1VyUli2B0aP1Vj4McG4hCr6uXTVr4vrrgaee0qnBrxKP++8PvPqqzjM5Odr+JYxFfdDmOpbPiZUo8Mf+XTp21KK8d9+tv/p9yr51a72IzQaceKJOsiHGuYUoNFyL8E4nsHOnpmf41RGvTRstCzJhgrZ/mTMnbOtFRn3QRkTBUb9OU1yclgJZtUoXyYYP15pLPp+yb9lSI85+/bQWQFGRVUMnogg0cqTmzo4erS2wTjvNj9q5LVtquaHzzgNmz9bC32EYuDFoIyK/NVWnyW7XdLQzztCaS5mZwLff+vhB7dvr9ujgwXrBMC4JQkSB16ED8MorWnbo9deB/v392E1o0UJPUk2bptsEl17qZ9sX6zFoIyK/NVenqV07PZz15JNa8bx/f9029UlCglY2P/ZYvStesMCPkRNRuJs+YCWmD1jZ6OvGAFdeqTeL++6rK3A33eRjwe+4ON1rnTkTeOQRnWP8qhxuragP2pgsTBR4I0boXAfoLoO7dlbGAFOm6Kpbly7AyScD06frwdBm1d973W8/jfpOOknvhu++25o/iBc4txCFl7Q0nV/OPVdTMUaM0GmjSe767xkDzJ2rXRMWLgQmTvRwogq8FqEeQKClpKRg69atoR4GUVRz1WnasQNYtKjpY/+9emns5XBoEd533tGaSz17NvINrr3X3bt179VVCKp1a+DFF4HJk4EZM7Sy70036YQbBJxbiMJP27Z6qnTUKGDqVF3Vf/xxYNw4Hy523XV6gzh9OnDqqTrf7Luv1UP2StSvtBFRcHhTp6l1aw3YXn4Z+OorvUNuND2tqb3XffbR5OEpUzR52OEIy+RhIgqus8/Wmtw9emjZoUsvBX7/3YcLXXmlRn3Ll2tZkJ07LR+rNxi0EVHInHKK1nRLT9fUkXPPBX75pd6bmtt7jY/XSfXSS4F584DLLgu75GEiCr4ePbQe94wZmvo6eDDw6ac+XOiCC/TmcNUqPUnlV+FJ/zBoI6KQOvhg4M03daFs0aLans57eNIjJy4OePBBPab/8MM6yYZR8jARhUbLlnov99prwI8/AoMGaeMDrxfkzzhDt0c//lhvHH/4IRDDbVbUB21MFiYKf/HxwM03A2+9pS1GhwzRI/x7JlZP9l6NAfLytDDm008DZ52l26kBwrmFKDjqn0PyxfHH66r+0KHa+GDiRKCqysuLnHyyFvauqACOPhr4+mvfB+SjqA/aWLWcKHIcc4xOrGPHAlddpXPkTz95cQFj9DDCXXdp8d3x44E//gjIWDm3EAVeUzUgvXXggcAbbwB33gksXapNVlbt6OvdRY47TvPbfvhBA7cvvvB9QD6I+qCNiCJL+/Y6oT7wgDaf798feKtqgHcXueYaTWJxlQVpqqu0uyP/ROSVQLXIa64GpLfi4vS80nvv6Qr/MWvvx51bzvJuu3ToUN0W+PVXDdx8SpTzDYM2Igo7xuh5gg8+0MK8x318D2Z/OcW7iXXqVN0mfestYMwY3WMhoojiSQ1IXxx5pJ4uHX/A25i1ORuXX+7l+aW0NK1XZIz26Csrs2ZgzWDQRkRha8AAoLQUOGmf5Zjz1RRcdJGX5wvOPRdYvFijv5EjgZ9/DthYich6npxD8lVCAvB871twzcGL8dBDWjnIq/mlTx/g3Xe1ONzIkXpUNcAYtBFRWGvbFpjT5k7ktHoKTzyhCcRepallZel+66ef6m36998HaqhEFADe1ID0ljHAPNsC3Hor8OyzwIQJXs4vqakauB14oHaudzqtH2QdUR+08YQXUeQzBpja+inMnw+89JKmqTWo59aUE08Eli0DvvxSc1Ca7W3TPM4tRNHBGOCGG4D779f7u5NO0nQ1j3XpolulPXroXPPKKwEbK9tYEVHEuPJKIClJy7BlZmoc1r69h988cqSe+jrhBA3cVqzQSdZHnFuIosvll2sO7QUXaBusZct0vvFIp06aPzt2rPbMWrhQa7tZLOpX2ogoupx7rta4/OgjLRHy7bdefPNRR2kl399+029evz5g4ySiCFCvCNx552m1oPJyH2roJifr9uiwYVon8vHHLR8ugzYiijinnAK8/rrWthw6FPj8cy++OS0NePttrdw7fLiX+6xEFDUaKQI3bpxWC/riCx+yKfbfX5foxowBLrpImyxbiEEbEVkiUHWaGjNihO5G/Pab3tiuXevFN/ftq8nD++6rS3YsB0IUe1auhDRSBG7UKM2m+PFHnV82bvTiuvvuq8lx48cD110HfPONZUNm0EZEESs9XWMvV/2m997z4pt79NDk4ZYt9W7bwomViCLAiBEQxEEAt0Xghg7VOO6PP3TFzasbw1atgOef1ybzBx9s2ZAZtBFR2Js+YCWmD1jp9rXDDtPySJ066Yn7117z4sJdu2rLhdRUSydWIooAGRn4Yr8j8F2rxovADRigN4atWmlMt2qVF9dv0ULnFwtFfdDGY/lE0e+QQ3RiPewwzXd77jkvvvmPP7SippdNDTm3EEW+/7VIwI+tmy4C16uXruJ37KjbpiUlQRxgPSz5QURRoWNHzXE75RTg7LOB6mrgkkua+SZXIvLu3ZqI7EXJdc4tRLGja1e9MRw9Wuu4Pf88cPrpwR9H1K+0EVHkq3cqv1EJCXqq9MQTgUsvBW6/HU33K7W6GzURRa1OnXSKSEvTzgnPPBP8MTBoI6Kw1sip/Ea1aaN13CZP1irnM2Y0EbgFqhs1EUWlpCTdHh0xQmu6PfhgcD+fQRsRhTVfFsP22Qd4+mmtcH7PPcCFFzbSCDqQ3aiJKCq1bat13E49VeeYZlf0LRT1OW1EFNlci2G7d3u3GBYXp3Utk5OBOXOAqio9oNC6db03JiTogwEbEXmodWuguFhbXt1wg+bQ5udrH9NAYtBGRGHNtRi2YwewaJF3sZUxwOzZGrhdeaXmui1dqkXLiYj80aIF8NRTOp/cdRewcyfw8MNAfHwAPzNwlyYisoa/i2FXXKG5KOefr3lxr73mRaN5IqJGxMVpXltiInDHHRq4PfOMpmgEAoM2IooJ55yjE+uECVrdfPly1tMlIv8Zo3ltCQmAw6HtjIuK9FCU1XgQgYKOxUijSyT9e558spYE+eYb7SfoVaN5CnuR9N8iNS/S/j1zc4FHHtF+8WPH6qqb1aI+aGPV8vAzZ86cUA+BLBRp/54NGs3/2sOn63BuCT+R9t8iNS0S/z1zcjT39r33NBVj2zZrrx/1QVtKSgpExNKJ1epJ2p/refO9nry3ufc09rq3z4eLQIzP12uGy79lU69Fy7+nq9F8q1bAiLXz8d6Ow72+HucW797LuSV01wyXf8umXoumf88zzwReeglYtw445hjgxx/9u15dRoJVXCRE7Ha7lJaWWnpNYwys/Hvz53refK8n723uPY297s3zVv/9+SMQY/H1muHyb9nUa6H693SV+WiuRpu3Y9myBRh92BZs+bMjNn3VukGOW1PXs9vt4Nzi+Xs5t4TumuHyb9nUa039e3r68++LtYl68QHVTV/cl7/7lSv1NOnChVquyNPrGWPKRMTu9rVw+Q88UDp06CDdunUL9TCIKMp8+eWX4NxCRFYrKysTEXG7Exr1p0e7detm+d0wEVEgVtqIiIwx5Y29FvU5bURERETRgEEbERERUQRg0EZEREQUARi0EREREUUABm1EREREEYBBGxEREVEEYNBGRBQMq1cDc+fqr0REPoj6Om1ERCG3erU2Ity1S0ujr1gBZGSEelREFGG40kYUxYqLi5Geno6kpKRG3+NwOJCUlIT8/Pwgjswz1dXVyM/PR35+PiZMmIDy8r1rTubn56O4uBj5+fkNXqursLAQhYWFqK6uRmVlJRwOR6CHvreVK4Hffwf++UcDt0D04yEKomifWwAdv9PpbPI6QZ9bRCQiHwCyAGQCyAOQ1tj70tPThSiWFRUVif6oN1RWViZZWVmSl5cX5FF5Jjs7e8/vKyoqJDExUSoqKkREJCsrS2ravYiISGZmZqPXycvLEwACQGw2255r+MOruWXVKpE2bUTi4/XXVav8/nyiUIvWuaWkpETy8vLEZrNJSUlJk9cJxNwCoFQaiWkicqXNGGMDkCMiTgBrAMwK8ZCIwprNZkNlZWWD57dv347KykqkpaVZ8jnFxcWYMGGCJdeqrKxEamrqnq9tNhtsNhuKi4sBAE6nc69x22y2Ru+KExMTUVVVhaqqKlRUVMBms1kyRo9lZOiW6K23cmuUoko0zi2ZmZnIzc31aJ4I9twSkUGbiFQCcP3rDQJQEsLhEIWtysrKPRNS/YnV6XTCbrejvLwcmZmZfn1O3Qm1qKjIr2u5VFdXu91q2LZtG5xOZ4PJMTExESUljU8FiYmJSExMtGRsPsnIAGbNYsBGUSFa5xZfBHNuCXnQZozJMsbkNfJabs3r2caY7LqviUi1MSYLQKKIFAZlsEQRpry8HGlpaQ0m1urqaiQnJ6O0tNSvO+H6E2pWVpbfY3ZJS0tDWVnZXs+Vl5dj1KhRqK6ubvD+9u3bu73jdyksLERxcTEcDkeT+W9E1LxonVt8Ecy5JWSnR40xmQDSAIwC0GCmrQnk1ohIsetrY0yW62sAEJFiYwyMMXkiEuTMYqLIkZqaioqKij1fl5aWIjMzEw6Hw6c74eLiYixevBiTJk2y7O7XnbqTfmFhITIzM5GZmYnCQu/u0zIzM/eszGVlZSE1NRVlZWXBW3kTAR59FDjzTGD//YPzmURBEG1zi7eCPbeEbKVNRJwikg+gsbA0u26ABt0CzQEAY0xaTdCHmu/PDdxIiSJf3bth17YGoHeXgwYN8upaDocDixcvtvzutynV1dUoKiras/2ZnJzc4D1NbW2420pdsmSJtYNsyrp1wNSpwOGHA2++GbzPJQqwaJtbvBXsuSUs67QZY9ytqW6HnhYFADuARADOml8b3xMhssD06dOxdu3akHz2gAEDMH/+fK+/r7q6es/dXv2J1XVH6XQ6vb6bzcvL27N1kZOT49XdaWFhYYNtifocDkeDidDhcOw1zsTERLdbpO6SgCsrK5Geno6qqqq93ld3dSDgjjgCeO89YMoUrdc2bRpw551A27bBGwOFJc4ttcJhbvFGKOaWsAzaACRDg7S6qgHAGJMoIoU1eW5Z0O1Va46UEEWR0tJS2O12ALUTq9Pp3DMRlpeXw2az7Zl8nU4n8vLy9kxiBQUFjV47KysLWVlZXk+w2dnZzb6nvvz8fDgcjj3jdCU3b9++9xRRWVmJnJwct9fIy9s7bba6unqv02NBcdRRwNq1wA03APPnA6+9Bjz5JHDMMcEdB5Gfonlu8TYPL+hzS2O1QIL1gNZZK6j3XBaAqnrPJUJrodi8uT7rtFGsql8fCcBeNYcKCgokKytrr/fYbDYREamqqvLqs4qKiiQrK6vZmkbeKioqkpKSEqmqqpKqqiop+//27jzOxvL9A/jnnrETg+RnShhLSJoZg2SNQaHFGu0lSwsljFZLC5H6qr71zdYeFaV9YSotqBhFishIilZDJbv798fnTHOMWc6Z85ztOZ/363VeNXPOec6tMXfXc9/XfV1ZWXbmzJnW2mPrtKWmpv7771lZWUc95/3fIicn598/ZyACmls+/tja+vWtBay94QZr9+wJeDwioeL2uSVXenr6MZ8birkFRdRpi9SgLb2AoC3JE7Ql+HN9BW0Sa3JycuzQoUMtgKMmFO9ikrmFI1NTU4+alIoqUOuL3AnWCZs3b/63aKX3I3e8OTk5NiMjwy5YsMBmZGQcNZFmZGQc9efNycmxU6dOtVOnTrVDhw4NfXHdgvz9t7UjR3IabtDA2k8+Kfm1li+3dvJkFe2VoIqVuSUrK8tmZGRYADY1NfWoP2so5paigjbD58PHc0o0wVo7zOt7qQCyrLWmqO/5IjEx0e7YsePfrydMmICJEycGPG4RN+ratWuJE3JjTWJiIhyZW5YuBa66Cvj+e2DUKODuu4Hy5X1//4oVQLt2wJEjfJ+K90oE0tziO2NMlrU2raDnwl6nrSDW2tXw5LB5qQYePPBLYmLiUVGqAjaRgmVmZmLVqlXF9toT8nduWbECmDKF/zxKp07A2rXANdcADzwAJCcDn37q+0CWLmXABqivqUQkzS3OidSDCAAwK19dtq4ACs9eFJGApKenH3UKSpxT7GJYpUrAI48Affpw1a1tW2DMGGDSJKBcuaIv3qkTL3rgAFCmDL8WiSCaW5wTtpU2T621DPDQwQBP94N/j21YFstN8nREyACw2R5dt80n27dvhzFGK2wi4ih/5hafF8O6dGFNt6uvBqZNA1JTgZUri764+pqKxIyw57QFW1paml21alW4hyEiLpOWlgZf55YVKxiP5S6G+RRbvfsug7cdO4Bx44Dx44GyZQMfuIhEtKjLaRMRcZMSLYZ17w6sWwdcfjkweTKQlgaoZ6pITFPQll+h2cIiIiXXpg1wyy1+7l5WqQLMnQu8+SawcyfQqhUwYQKX7EQk5rg+aPMrpy03W/jWW7mXocBNRAoR0nzZHj246nbxxcCddzJ4W7Mm+J8rIhElkk+POiIxMRHbt2/37cUFZQsrqVdECuDX3OKEqlWBp54C+vYFhg3jdun48cDNNwOlS4duHCISNq5fafNL7tH5+HgdnReRyHTeeVx1GzCAQdsZZ/BrEXE9BW3ezjgDGDECuO02HZ0XkchVvTrw3HPASy8B27axNMi0aXk7BSLiSgravH31FXDffcDs2cDWrYDLy6FIaHTq1AmdtGorwdCnD/D118C557IsSLduwE8/hXtUEiKaW2KP64M2v5KFmzcHPvsMSEwEBg0C0tOBDRuCPkYRiT4RU7i7Rg1g4UJgzhwenmreHHjllfCOSUSCQgcR8mvZkoHbrFk8Rdq8OTB6NHD77UDFisEbqIiDdu3ahSlTpqB+/frYtWsX0tPTkZmZiYyMDGRnZ2Pq1KmYNWsW+vXrh5YtWwIANm/ejISEBEydOtXna/nyvFuF/CBCUYwBBg8G2rcHLroI6N0bGDqUvUw1b4mDNLeEmXfDYzc+WrRoYUvsl1+sveIKawFrTz7Z2kWLrD1ypOTXk5jUsWNH27Fjx5B+Znp6+lFfL1myxCYlJR31PQA2KyvrqO8tWLDApqam+nUtXz7LjQKaW4Jp/35rMzKsNcbaU06xdvXqcI9IgkRzizsBWGULiWlcvz0akBNOAJ54Avj4Yxa57N0b6NUL2Lw53CMTKdSuXbuO+V56ejrS09OLfW+/fv2QlpaGcePG+XStQD5LgqRMGWDqVCAzE/jrL6B1a2D6dB1SkIBpbokAhUVzbnk4djd84IC1DzxgbaVK1pYta+3Eidbu3evMtcXVkpOvsfXqzbTLl4fm83JyciwAm5OTc9T389/5ooC7YWt5N8upofhr+fpZbhSxK23efv/d2t69uVuQnm7tTz+Fe0TiIM0t7oQiVtrCHlQF+1GrVi0LwE6YMMGB/5SWk97AgfxPV7++tW+95cx1xZWWL7c2Lm6vBQ7Z8uVtyCbXfv362YSEBJuRkWGXLFlS4GsKm1hzJ8vNmzf7dC1fPsuNHJ9bguXIEWtnzbK2QgVrq1e39pVXwj0icYDmFveK6aAtaHfDmZnMFwGs7dPH2q1bg/M5EtUmT7YWOGQBa+Pj+XWoTJ061SYlJVkANiEh4ZhJr7CJNfe5BQsW+Hyt4p53o6hYafO2YYO1qamcs4YNs3bPnnCPSAKgucW9FLQFy759/E0pX553sffeyyRgEY+8u+GDIb0b9paTk2OHDh1qExISjvp+cXfDhT1X0LV8fd5Noi5os5bz09ixnPobN9YhhSimucW9FLQF25Yt1l5wAf9zNmli7fvvF/y65csZ5IXjt0vCJhx5J7nbD95SU1OPmiwLmzw3b958VN5JUdfy9bPcKCqDtlyZmdYmJlpburS106dbe/hwwa9LTra2Xj3NWRFKc4s7FRW06fSoE+rWBRYtAt54A9i3D+jcGbj4YmDHjrzXrFgBtGvH2m9duvBriQlVqnyDk0+eF7KuaNnZ2Vi9evUx309LS0NCQkKx7585c+a/dZCKu1agnyVh0qULsHYt0LMnMGYMcPbZR89XAOeotWuBLVs0Z0UozS2xR0Gbk3r2ZEuZ8eNZobxxY+DBB4FDh4ClS/OO3B84wK9FgmTcuHHHHJnPzs5GUlJSke/LzMxEZmYmbrnlFp+vVdLPkjCrXh14+WVg5kzgk0+A004DXnst73nNWVIAzS3hZbgS516JiYl2x44dmDBhQmjbzWzaxObz774LnH46cO21wDXXcBIsX14N6WNIbm/ApSH6n17uHerOnTsBsN7RH3/8gWHDhiEpKcmvquW+XKuo590sMTERYZlbgmHDBnZS+OILzlPTpwNr1nCF7cAB1n7TnBVxNLe4kzEmy1qbVuBzbg/a0tLS7KpVq8Lz4dbyTvbGG4Eff+RKXHIy/6nJL2aEemKV0EhLS0PY5pZg2L+f7fqmTweaNAHmzwf++YcrbJ06ac6KQJpb3KmooE3bo8FkDNC3L7B+PZCRwVW3mTOZI+LyYFlEokzZssB99wGLFwO7dgGtWgGffgqMG6eATSRCaKUtlNatA66+mg3pe/QA/vc/4OSTwz0qESkB1620efv9dzagf+01oFs34KmngP/7v3CPSiQmaKUtUjRrBixbBsyYAXz4IdC0KfDww8Dhw+EemYhInuOPB155hTeWH38MpKbysIKIhJWCtlCLjwduuIGrbu3aASNH8p9ffx3ukYmI5DEGGD6cOwOVKjGv7T//UWqHSBgpaAuXunWBt98Gnn2WJ01TUoCJE5kMLCISKU47DVi5EjjvPOCmm4ABA4C//gr3qERikuuDtu3bt8MYE5lH8o1hEd716zkRTprE4G358nCPTESKEdFzi9OqVAFeeokHFRYtAlq2BL75JtyjEok5OogQSd5+m9sR27axrtuUKcBxx4V7VCJSAFcfRCjKhx8CF14I/P03MGcOMHBguEck4io6iBAtzjmHuW0jRgCPPsqDCm++Ge5RiYjk6dgRWL2aNScHDWKO7oED4R6VSExQ0BZpKlVi66vly7kl0asXJ8Zffw33yEREKDER+OADYNQo4KGHeEjhxx/DPSoR11PQFqnOOIN3s3feya4KTZoATz+tk1siEhlKlwYeeAB48UXgq69YFuT998M9KhFXU9AWycqUAe64g/0AGzcGLr8c6N6dHRW8rVjB/LcVK8IzThGJXf37A59/ztpuXbsC996b12heRByloC0aNG3KApePPMLArFkz3uEePsyv27UDbr2VzZ0VuIlEpD//DPcIgqhJEwZu/fsDt9wC9O7NVlgi4igFbdEiLo4nSr/5BujcGRg9mv0An38+7672wAE2dxaRiJKdDTRowHutYGQ4pKQASUlhvmerVIlN5h96CHjrLSAtDVizJowDEnEfBW3RpnZt9gN8/nng+++5+mYMnytThgnBIhJRjj+eC+KjR/Nc0d9/O3ftFSuAtWuZNRH2xXZjePr9ww+BvXuZm/vUU2EckIi7KGiLRsawTtL69cCll/LW/fjjeRvfpk24Ryci+VSuzNq0994LLFjAWGbjRmeuvXRpBC62n3kmc3HbtAGuuIL1J/N3e1EurojfXB+0ubpqefXqwBNPAIsXswjvtdeyzczeveEemYjr+Tu3GAOMGwe8+y7w889sKvDqq4GPo1MnoHx5tjWOqMX2E07g3HTzzcDMmVxq3LqVzykXV6REXB+0JSYmwlrrzqAtV9eu3B+55ho2dE5OBj79NNyjEnG1ks4t6ems5tOoEXDBBcBtt/FMUUm1aQO89x5w1138Z0QttpcqxdW0V15hj+XUVEatEbk8KBL5ShX0TWPMGAD1A7z2Zmvt9ACvIb6qVIn5bb17A4MHA23bAmPHsgl9uXLhHp2IeDn5ZB4IHzECmDwZWLUKmDePi+cl0aZNhAVr+Z1/Pv+Qffuy88tVV/Fw1ZEjEbY8KBLZCgzaALQCMCTAa88K8P1SEunpLHQ5ejQwdSrw+utMBE4rsI2ZiIRJuXLA7NlAq1bA9dcDLVqwjnZqarhHFiQNGnAb9JprgLlzgdatuUvQo0eER5wikaOw7dGV1trdgTwAxGAn5QhRuTL/b/D228Du3cx6vuMO9QcUiUBDhnDV7cgREF9NowAAIABJREFU5u8/8US4RxREFSoATz7JHLcvvgCeeYYrbSLikwKDNmvtfQV93xjT1xjzP2NMZa/v9fHnGhJCZ58NrFvHE6Z3383M5y+/DPeoRCSfVq2ArCxmNVx1VcGHLV3DGGDoUGDZMp58b9uWLfpEpFg+H0QwxlwNIBNAtvf3rbUvFxa4SQRISOCt+2uvsel8y5bsZ3rwYLhHJiJeatRgjn5GBheiOnZ0eQ/2tDTmuZ15Jlv03Xij5iWRYvhzejTHs/V5n7U2f0MW4+SgJAjOPRf4+mtgwABgwgRuma5bF+5RiYiXUqWYirpwIX9dU1OBDz4I96iCqEYNlgUZNQp48EGgWzfgt9/CPSqRiOVP0FZU85WqgQ4kEhw6BAwb5uIdxGrVgOeeY5XPbduY+TxlCv/gIhIx+vZlK8/q1ZmrP316cNpfRYRSpVgY/JlnWKooLY01UUTkGP4EbfUL2gb1bJsmODek8Pn2Wx5qSkkBevZ08dZEnz68jT//fBa3bNuW3RVEJGLk9mC/4AJW77nwQuCvv8I9qiC65BLmuQGck559NrzjEYlAPgdtnoMFrYwxO40xKz2PwwBauKUe259/5t3NvvUWUL8+D126cqKsUQN48UXghReAzZsZqd5/f2BVPkXEUccdx7ZXU6dygbx1a95culZqKvPczjiDB6hGjdJOgIgXvzoiWGtvBlAPwL2eRwNr7TXBGFg4eBfpjo8HGjfmocuGDYFZs1w6dwwYwFW3c84BxowBOnRg5fJcKSlAUpLazIiEiTE8nLB4MdO9WrYEFi0K96iCqEYNYMkSHkyYMUN5biJe/G5j5TmM8JLnsSUYgwqXTp1YpBtg6aDHHmOKRYMGzHU7/XSuwLkut6RmTVb1fPZZ4Jtv+Ad98EFuVaxdC2zZov6AImHWpQvLgjRuzAyHW2918cJ4qVJsyff005x3lOcmAiAGeo/609S5TRugeXOgXr28Hn6tW7Pw5UsvsTZtz5688XPdYQVjgIsv5qpb5868y73kEvUHFCmEvw3jnXDyycBHH7Eg75QpLMX4++8h+/jQu/RS4JNP8uq5PfdcuEckElbG+rlsZIzpDCC30UqmtTaiw5e0tDS7apUzzRkOHODq26RJQE4OSwvdfTdw4omOXD5yWMvWV9ddB/zzD79XvnwEdqMWCZ+0tDQ4NbeUxNy5/BWtWZM3la7uVPfrr0zl+PBD5rlNm8bVOBEXMsZkWWsL/I32a6XNGLMY7CnayvNYaIx5IfAhRocyZYCRI5m3P3o0Gzw3bAiMH++ywwrGAFdcAWzYwFLtANCsGVCnTliHJSJ5Bg/mIhQAtGsHDBoEPPIIdwFct216wgnMcxs5ktum3bv7tsTYqZOa0Yur+NMRYQqAqdbaBtbaAZ5HAwAvep6LGQkJwH33MaY5/3zgrrsYvM2e7bLDCrVrM6nvsce4bXraacx9E5GIkJbGPLdBg7htev31PDtUtSrTOCZNAjIzgb//DvdIHVC6NHNtn3qK+bZpaexfWpTdu4EfflA+rriGPytt2dba9/J/01r7EmK0OXy9esD8+XmHFYYOBZKT2afdNYcVjOEpjC++4CnSvn15i++K/wuIRL/jj2enuh9/5JmhZ59lOuovvzBo69oVqFKFtbRHjmSVn6iuQXnZZVxiPHyYeW7z5hX8uhUrdJBKXMevoK2I53YFOpBo5n1YYf9+oEcP3uWuWRPukTmoUSNg+XLgttuAJ59kdPrpp+EelYh4GAPUrcvzRI8+yvknJ4c3kbfeysBt7lxg4EAuotepA1x0UZRuqeYuMbZsyT/w6NHHbnN413DSQSpxCb/aWBljKuf/pud7Nt/3xgQ6sGhjTF6jgRkzeDo9JQW46irgp5/CPTqHlC7NkxdLl3KCbNeOt/Ku2hMWcY8qVXjC9K67gPffB3btAlau5BzVujXz+r23VLt3B+68k2eOIn4x/YQTuPc7YgTbYOU/Spu/hpNy28QFfD49aox5EUAKjl1xS8PR26MGQBdrbbwjIwyQk6dH/ZGTA0yeDDz0EA85jRnDVjSVKoV8KMGxezcny2eeYfXyZ59lCwmRGBHu06NOsBbYupUpYsuWcddx3Tp+Pz6eJRvbteOKXOvW4R5tEZ56imkc//d/wCuvcCcA4Jbo0qUM2HTyXaJEUadH/QnaVgEYB2BncS8FcK+1tptfowyScAVtubZsAW65hXkkNWsCt98OXH01UK5c2IbkrBdeAIYP52rbQw/x1Kkx4R6VSNC5IWgryK5dzHzIDeQ++4yVfzp14lzWtWuE/oqvXMntjj/+4D7woEHhHpFIiTgVtKVYa4s5quP/a4Mt3EFbrk8/BcaN4wmvWrXYlmboUKBChXCPzAHbtrFo3QcfcNKcNQuoXj3coxIJKrcGbfn9/Td/pe+/H9i+ne1Bb76Zv+rxEbGf4uWXX4D+/ZlkPHo0cO+9qucmUadEddqMMXW9vy4qCMuf6xYpAVskOeMM5o988AHb0IwaxcOY998P7NkT7tEFqHZt5pbcdx/w+ussDbJkSbhHJSIOqFQJuOkmIDsbmDOHNSkHDACaNuWC1oED4R6hl5o1mZB3/fWcXLt0YckPEZco6iDCMD+uc0ugA4kVnToxIfijjxjbjBnDE19Tp0ZB4m9R4uL4h/n887wiUaNGAfv2hXtkIuKAsmVZ7Wf9euDFF4GKFZnqkZTEercRM3+VLg08/DDzbb/4gr0JX4iZGvDickUFbeOMMZt8eHwHICNUA3aL9u25GJVbI/Lmmxm8TZ4M/PlnuEcXgORkYNUqHlKYMYNH8r/6quj3qGq5SNSIj+cOZFYW8M47LCx+000sITJxIlPKIsIll7CWSdOmrHNy+eVRPrmKFB203QfgJQDDfXgcU3RXfHPmmayj9Omn3EK97TYGb3fdxYTgqFS+PA8lvP028NtvjEr/85+8mkn5qWq5SNQxhiVCPviAv7q5FYDq1GEQFxEFfJOSuK0xYQJPuKekaJ6RqFZo0GatHWetvTn3SwCbrbXvFfDIBDAzJKP1YowZ6nnMNMYkhfrzS6KoBaXWrYE33uAiVfv27Gdaty7nmp3FndeNVGefzVW2c87hLN69+7FF61S1XCTqnXEG8Oqr/HXv04f3bElJ3D7duDHMgytVikuAH33EG8f27VmMTvUlJQoVW1zXE5i9DyDHGNPFGNO5gIMHLwVthAUwxqQCWGWtnQVggecR8XxZUGrRgpPf6tWMYe68k8Hb7bdH0LaDP2rUABYt4vGz5cuZX/KS118XVS0XiVj+Zi40awY8/TTw3Xc8Hf/cczx41b8/57SwatuW26UXXcS74Y4debMoEkV87ohgrd3tFcDVzw3ggji2oiQh76DEKs/XEc3fBaWUFMY2a9ZwwWryZAZvN9/MHceoYgwwZAgnzPr1gX79gCuv5DE0VS0XiVglzVyoWxf473+B77/nnLV4MW9Iu3fnfVnYejNXqcKoct48tq85/XRum/o7IOXhSpj408bqX9baLzzN43OMMSuNMVNKOgBjTD9jzNRCnsvwPD/UGDPU6/MXgoV+ASAdQGZJPz9USrqg1Lw5T2p99RVw7rnAtGmcEMeOZUmiqNKwIU9e3HEHJ87kZE6WzZsD9erxqL6qlotEBCcyF2rW5A3nDz+wZNqaNcBZZzGXt1kzLnaFxaBBHExyMnDppexf6k8SsfJwJUz8DtqMMZWNMWOMMZsAvAgeQphVguukG2MywBWzhAKenwog21q70LMNWt8Y0y/3eWtt7m/YhQCG+Pv5oRbogtKpp/Lm8JtvmDPywAOMc0aNAnbscHq0QVS6NPd8P/qIAVv79sx5++YbBWwiEcTJzIUqVVhcfMsWNrP/5RcudK1YwfzdsNR6q1OHpyjuvpt3xqefzqK8xVEeroSRz0GbMaaPMWYxgBwALQEMt9Y2tNbebK31OzHAWptprZ0GoLBMh6GeFbVcS5Cvdpwn6BviFcBFrDZtnFlQatyY5Yc2bAAuvJDliOrVA0aOjJDTWr7KzS+5/HJgyhROmB99FO5RiYhHMDIXypcHrrmGrUKNAQ4e5En5E08Epk8PQ0WO+Hge2V++nDeUnToxgfjgwcLfozxcCaMigzZjTLIx5jFjzE6wgO4Ca228tfZCz/Zo7usqF34V/3kOGuS3E9wKzX1NPwCzrLW7jDHpBbw+4nzxBauKO7Gg1LAh8MQTwLffshzR//7H01rDhkVRbm3lysDjj7Ng3cGD3CsZPpxbDyISVk7daBbkk0/y0sji4jgVjB3L5ioZGcceMg+6Vq14E3nFFcA99/CmctOmgl+rPFwJo6LaWG0CT2XmAGhhrW1prZ1dyMsLzEkLQDUc25h+l2dcCZ6gbjaALGNMDvLy22JO/fpsLbNpE4/XP/kkA7orrmBAFxXS04F169hRYfZsoEkTnjgVkbCqUgU4+WTnMxe8456yZXkWYNUqoEcPdp+qV49z2Lp1zn5ukSpVYl+uBQt4/DUlhTeV+Q8pBDOaFSlGoQ3jPZ0OcoMh7xeZfN+rD+Bea22JWgd7ctcSrLXDvL7XD8Bsa21Vr+8lgAFkfWtttq/Xj5SG8cGUe6O3dCnvUKdPB2bOZAepCy8Ebr2VLbOiQlYWo88vv2Ty3n//C9SqFe5RiRwjVhrGB0tKChfVn3vu6LhnyxbW4p47F/jnH6a8jh3Lec6YQi/nrB9/BC67jDlvffuyZFG1annPe0+6Ig4rUcN4AAuttS95Hi97PfJ/7z6we4KTCspRy/2NidZSs0HjfZDpxBM54X3/PRN/33iDN4W9ezMeingtWrB/6b33Am+9xVW3OXPCWCNARIKhsFW8evVYnPeHH5jvlpUFdO7MHcwXXwxRTdyTTmLaxtSpwGuvcRJ9//2855cuVcAmYVFg0GaMqevVDaFYBb3WGFO35MPCThx7ojTB81l+HTrYvn07jDH/PiZOnBjAsCJPYQeZTjiB+f1bt7KO5NKl7CbVowdzbiNa6dKMONeu5e34kCGsExD20uoiedw+twRbcXFP9eo8E7B1K3cO/vyTOweNGnEBfs+eIA8wPp4JditWcOs0PZ1fh+WoqwgVttLmRI5aia9hrV2NY1fbqqEE9dgSExNhrf334baJtbiDTNWqsYPL1q2sl7RyJXNsO3fmyn9EL2A1bMi72zlzuF3avDkj0aJOdomEiNvnlkhRrhy7K6xfz1TXWrWAESO4Sjd+PPDrr0EeQIsWXO4bOhS47z727NqwIcgfKlKwAnPaPKU9AtlMMwBSrbXdin1hATltXt9fmVv2I//XvnJ7Tltuo+YjR3icvri82D17mJ5x332s73bmmbybPfvsEOaLlMSOHaxrsnAhy4PMmcOlw6Io70SCSDlt4bNsGeew117jQYbLLwdGj+Z9XlC9+ioweDCT7e6+G7juOg7ASZq3Yl5ROW1H3SnmPgBUceJR0LW9PiMVQAaAzeABgwww0PN+TQaAfp5/Di3qeoU9atWqZQHYCRMmWLdKTra2Xj1rly/3/T1791r7yCPWnnyytYC1LVpYu2iRtYcPB2+cjli0yNrERGvj4qy96SZr//678Nd27MiHSBDEwtwS6TZssHbIEGvLlrXWGGt79z56HgzKFLB9u7XnnMOJs149a+fPd3bi1LwV88De6gXHToU94ZZHixYtnPhv6Fr791s7d6619evzb8Npp1n7/PPWHjoU7pEVYdcua4cP54Dr1rX23XcLfl1JolkRH2luiRw//2ztbbdZW7Uqp4W2ba195RVrO3QIUvxz5Ii177xjbfPm/MC0NGvff9+Za2veinlFBW0l6j0q7lGmDHDVVUzRePZZnswaOBBo2pRVyyMyfaxKFVYT/ugjbk107879kT/+yHuNWs2IxIyaNblb+cMPwIMPsmLHBRew9tumTUH49TeG887q1Zwof/mFicI9e7JRdElp3pJiKGgTAECpUuyZvG4d08YqVGBxy1NOYQ7c/v3hHmEB2rfnAYXbb2dj1iZNgPnzebpCrWZEYk6lSkx9/e474I47mHq2fTvQocPRFTscEx/Pem7ffsvyIMuWMef2qqtK1ldQ85YUw/VBW+6xfJ3s8k1cHGtJrl4NvP46S4cMGwY0aMA+p3v3hnuE+ZQrx2JOq1ezwNNFFwG9erFJq1rNSBBpbolcpUrxYFauQ4c4r73zTpA+sHx5lgPZvBkYNYoVgxs2BG65xb+2fGqRJcUotCOCW7j99GiwdewI5OQAVatyN7JmTZ7SGj4cOO64cI8un8OHWcDpttu4fVGlCmu+zZunVjPiOJ0ejWzeJ+vLluXc9cMPTP+YMYNfB83333MH4LnnWHDujjs4afpy0rSwVhESM0raEUEExrDW24cf8nH66byhrFuXC1y7/Cp1HGTx8cANN3CPt21b9vSqXp3BnIjEFO8WoR98wNrcEycCL7/Mhfi5c4NYp7JuXSYJZ2UBycnAjTcyfeP55/O2PwsTrIav4goK2qRI3i2yOnQA3n0X+PRTxkTjxwN16vCG8vffwz1SL3XrAm+/zTvVn39m7lv//kzuFZGY4R3/lC3L7jBr1jCYu/pq7j4GtU5uairbYb3zDrcmBg0CWrdmFFkYtciSIrg+aFPeSckVdpCpdWsWtfziCx6gmjyZcdLYsYyRIoIxzG/buBGYNIl9TBs3ZnusP/8M9+jEBTS3RL6C4p/GjRkzzZnD+e300zlF+HPYqlMnP9LNgnXSVGKSz0GbMaazMWaKMeZ/xpgXPI//GWPGGGOSgznIQOS2mtHE6r/iDjIlJ7OB87p1bEj/wAMM3kaMALZtC/FgC1OhApcEN27kXe60aTxVMXNmiDpPi1tpbolecXFsbLBhAw8oTJzI+ezjj4P4oU6fNJWYVGTQZoypYox5zBjzLtjBYBWAWQBu9jxmAdgCoKsx5kVPEFc52IOW0PD1IFPTpsAzz3AuuuQS4LHHgPr12aovOztUoy3GiScCTz7Jwk2NGzMpOCWFWxcl4dettohEopo1eU7p7beBffuYAjJkCA9fFcU7bcRvTp00ldhUWNVdAH0BjEEx7ajyvacKgCEA+vj6nmA/VLU8MCUpzr11q7XXXcfWMvHx1l56qbXr1wdvjH47csTahQv5BwOs7dnT/wGq1UzM09ziLn//be2YMZyzatZkd6ojR4593fLl7KIHWFu+vAONC7Zssfbii3nB6tWtnTHD2n37AryoRDP42xHBGNMXwGpr7XRrrc+hv7V2t7V2NoD3jDF9AownJQKU5CDTySez8kZ2Ng9zvvQSV+MuvJA5JGFnDPdE1q/ndunHHwOnncaqnN5dFYoS0K22iESaihXZhH7VKqB2bWZT9OzJ6h3eHK9/W9BJ01NO4fFWJ1vSaHfAFQoM2qy1L1lrS3zUzhO8vVzyYUmkCOQgU2IicP/9nPRuuYVbEKefDpx/PrBypYODLKmyZXl6YtMmHiV75BFuUzz4YNGTpVrNiLhWcjJPyD/4IO/nTj0VmD49LwU2aPVvvU+a1qjBOalJE+aeqGyReDhyetQYkxyphxF0wiv8atQA7rkH2LqVp7Q+/hho1Qo4+2zgk08i4AbwhBPYy3TNGiAtjXe6zZqxJURBhZzUakagucXN4uO58P7NN0B6Ou/tWrXiKpx3/bf33nO4nFruSdPPPwdefZV9uS67jJGjLzXeiqLdAVcIqCOCMSYFwAIAmwEYAFUB9LfWfu/I6BygjgiR56+/gEcf5Srcb78BlSvznMCXX/LONaysZXmQ0aN5sqJLFx6Lbd487zXepdbLlw/CzC3RQB0RYoO1wKJFwPXXs1rHyJEM3uLjQ3C/duQIP3zCBODrr3kzOWkSj+sb4/t1NGdFlWB2RBhgrW1gre1ure1mrW0JYFiA1xSXO+44lkv7/vu8ncj165kLN348GxmEjTF59ZMeeojF6FJSeBT2l1/4mqDeaotIJDEG6NOHc9Tw4Zyztm7lKdMDB4L84bnNoNes4THXAwf4dYsWhe8EFES7A64RaNBW0G1mZoDXlBhRoQLvWk85hUfvGzQA7r6bXRb692fbrLC1xi1dmgXnvvuOg3ziCea73XsvawOo1YxITKlShWmvy5YBCQksb1SnDmu87dgR5A+Pj+fJiK+/ZoHe3buB884DzjiDbWqKmyjViN41Ag3aqhpj6hpjKnseyQDqeX09xYlBinvl5vT/8gsLhr/4InDTTVzA6tSJC1qPPQb8/XeYBli1KvCf/3CyPOssnqho3Bj49dcwRpQiEi5t2jCV4+23eXbgzjt5/zZoEAO6oE4LpUoxx23DBmD2bLagOftstuorqjWWdgdcI9CgbRqAmQAWeh7TAAwA89wWAhga4PXF5fKv2m/axCocP/7IE++lSwPXXMOctxtvZGODsGjUiInB773HW+7167XNIBKj4uIYK735JuekkSMZxLVrx53Lxx8H9u4N4gBKl+bp0o0bufy3ZQtbY3XuzNNdBdHugCsEGrT198pn8350t9Z2AwO4sNIJr8hW2Kp9hQrs7pKVBSxfDvTqxcMLp5zCw1WvvRamU/CdO3NJcM4c9uo66ywOKCsrDIORcNLcIgDTOu6/n7m4M2cyR3fwYOCkk/Jyd/3h12n6smWBa69ld4UZM3jctX37vBOo4jo+nx41xnQGkGStnRPcITlLp0cjX0oKUzSee67om8BffuGOwGOPcYKsU4fz1eDBQPXqoRvvv/buZSQ5ZQqL8vbvD9x1FyPLksqdrbWCF/F0elQKYi3w0UcsML5oEXcSzj2XKbJduhR/6DOgKWDPHs5JU6dyTurVi/u3KSkluJiEi1OnR7sB6O/MkETy+LpqX7MmcPvt3AlYsIDpGePG8Y72yiuPXewKev238uVZGiQ7m8de33qL9ZSuvpqrcCISc4wBOnbkHLVlC3Drrczd7dqVnWH++1+WPSpMQOXUKlZkUbktW1gcc9kyJt716cMT8RL1/AnaVlpruwdtJCI+Kl0a6NePebdffQVccQUnyLQ0HqZ69llg//4QDqhyZdZOys5mMadnnuFJ05tuYiE6EYlJtWvzRPy2bcDTT3OqGDGCObojRrAUpDfHmq0cdxyjxS1bWOPtvffYjmbgQB5iCIawV0mPDf4EbdnqJyrBEEirrGbN2Mzgp59YPyknB7j0Uk6WGzYw1SNkBcBPOIF5JRs3AhddxAElJbEmwJ9/+nYNVS0XcZ2yZTkvffYZHxdcAMyaxYPo3brl5eg6Xk6tShXOP1u24Jnat2Dvgje4GzB4MOcZiTr+BG1JAOYYY1YaY8ZEatsqiU1VqvAE1/r1LFt0yinMgfvxR+blPvZYCCt01KnD42Pr1nFGnjQJqF+fpUP27Sv8feppKuJ6rVpx1W3bNq7CffMN+zE3aMCbz6CUU6tWDXPr3YOBrbcAN9zA7YiGDYFRo7QbEGX8Ddq6AJgFoBWA940xh40x7xpjrg7K6ET8FBfHOKlHj7zvHT7MsiFpaaxLWVTc5KgmTYCXXuIpruRkbpc2asRaJrndp72parlIzDjhBOC223i6dOFC3us98ghvLitWZImjxERnP3N3mRpsy7dpE6sDP/SQ/7sBhV5cuwSh4E/QtgtAVWvtbGvtAGttNQANwXpsDYIyOgfoWH5s8i4lUr48kJHBYO2KK3jo4Y47gO3bQzSYli2BJUuYV1KrFg8qNGvGRDzvBtCqWh5VNLeIE0qVYmeqpUu50P5//8eyIVOmAHXrckHs2muBl19m+kdJHRVTnXwybx7XrWN5kEmTGLwVtxtQGO0ShI611ucHgHoAOvvznnA/WrRoYSU2JSdbW6+etcuX8+sjR6xdssTac8+11hhrS5WyduBAPn/kSIgGdeSItS+/bG3TptYC1qamWvvOO3kDyD9oiViaWyQYOna0tkMHa9ets3bGDGt79bK2UiVOF3Fx1rZsae2tt1r7/vvW7tvn2zWXL+d7AWvLly9gelm50tquXfmC2rWtnTPH2oMHfR/05Ml8L2BtfDy/lhIDsMoWEtMUuNJmjKlbSIC3xVr7vi/BYGHXEAmV/KVEjAHS05n0u2kTT2+99RZw5plA69YhOnVqDNC7N+9Kn3yStZTOPptFez/9VFXLRQTG8LzADTewL/zOncDHH3OHoEwZlmHr3Jld9s4+G5g+na21vBfuvRWbeZGWBixefOxuwMKFviUDa5cgZArbHq0ayElRY0xfAAklfb9IsNWvz9SOn35iHsmff/J0V24D6J9/DvIA4uOByy/nmf+HHmI2cps23K7YsyfIHy4ikaqg0/SlS7NF1sSJ7FK1cydvPocM4YGGsWNZP/f//o89UOfOBbZuzXu/zzFV7s3jokWco/r3Z3rH4sVFB2/qbRoyBQZt1tovALxnjLnXGHO1MaZycRfyNIgf4mkSn2Wt/dLpwYo4rVIl5ot88w3wzjvsGzhpEhe7LrkEWLkyyAMoW5ZLfps38yjZrl3AqlUM6H78McgfLiLRqHJldll48EHg6685VTz1FFfdPvyQC2V16/Lc07XXAjt2cOXOp5jKGNYkyd0N+P135r116cJ6JYXRLkFIFNvGyhjTBeyEUA2ABZAN4A/P09XBU6VVAeQAmOnr9mmoqI2V+GvTJlYtf+IJVi4/4wyWE+nbl3epQfXHH8C993L1LT6et9BjxzK6lIiiNlYSiaxl6aMlS4DMTK7a/f03nzvuOG6tDh9efDutf+3fz6Jyd93F8iDnn89uC6eeevTr1ILPMUW1sfK596jnQvXAIC1363MXgGxr7ZaARxkkCtqkpP78k3evDz/MQK5WLd61Dh0KDBjA1wRtftqyBbjlFuCFF/jB99wDXHYZAzmJCAraJBocPMiqQxdfzG3Vv/5iKsisWUC5cn5c6O+/WTz8vvvyLjJpEpf0AAVtDnIsaItGCtokUEeOcOv0oYdYuLdMGSYAn3QSdzKDavlyFsDMrfX2wAPAWWeV/HqaWB2joE2iSadOXIVLT2f2ioNtAAAgAElEQVSr5NatmbpWq5afF/rjDy7XPfwwi2AOH86CczVrBmPYMcmphvFFfUCyOiSIW8XFsVjvO+9w22HIEO4SZGUBPXsyrgqaM89kzaN583ib3Lkz8002bgzih4qI2yxdyny3O+5gze+vvuIZg6wsPy9UvTowbRrw3XfAlVcCjz7Kk123385icBJUAQVtxpgUY8x3AKYCmOZpcVXXiYGJRKLGjZnv1qYNdwU++wxo25aLX5mZQWqVFRfHI2EbNgCTJzOT+NRTuQK3c2cQPlBE3KxPH2DZMmZbtG/PLAy/nXgiMHMmT3H16sUUjoYNgeeeC2HPwNgT6ErbAGttA2ttd2ttN2ttSwDDnBiYU1S1XIJhzx4m8r74IncsN24EunbloYXXXiu8XlJAypdnntumTbzDfeghNix88EEWX/KFWs04RnOLRLPkZJ6OT00FBg7klmmJ5q1GjYDnn+eSXVISj91368aVOHFeYVV3fXkA6FvA97oEck2nH6paLk4rqLr4vn3WPvYYmxkA1p52mrXz5ll76FAQB7JmjbXp6fzAhg2tffXVols7FFsWXfyhuUXcYN8+a6+6itNC797W/vVXya7TsaO1Z3U4ZO2jj1pbubK1Zctae/fd1u7fH/ggO3bkI0bA344IfqhqjKnrqdFW2ZPXVs/r6ykBXl8k4hRUXbxsWWDYMK64Pf00+8FfdBG3U+fO9X0hzC/Nm7Po5RtvcJ/j/PNZS+mLL3wfuIjEtLJlgTlz2Hb01VeZ7uFdmNcfR0w8cM01TP497zzmuaWksCKwOCLQoG0agJlg0/iFnq8HAFjg+XpogNcXiThFVRcvVYon4detYweY445jocsGDXjYau9ehwdjDE9DrF3LZLu1a1kh+KqrgO3bfR+4iMQsY4Abb2Rbv61beUAhoDgrMZG5I2+8wVyS9u15gks5uAELNGjrb/Py2bwf3a213cAATsRVfOnYEhfHYrxZWcDbb7M91siRPLwwdSprwDmqdGnguuuYR3LTTWyk2qgRC2L+84/vAxeRmNW9Ow9XJSTwoPrcuQFesGdPtmwYO5bVyps04Ul4HVQosYCCNmvte4E8LxKtfO3YYgxby3z8MY/bJycDN9/MIG78eJY88tapU4ALYAkJ7B69fj0/ePx4Bm/PPMOtUbWaEZEinHIKA7dOnbhLMGoU0z2KU+gZp4oVWSIkK4t3rRdfzOhw82bfB6UDVP/yOWgzxnxnjPnDGDPFGDPGGNPHl56kIkIdOrA47+efs0TIXXcxeBszhr0BHVW/PvdnP/qI1TMvu4zVNHftcviDRMRtqlblVukNN7AJQs+eRU8dK1YwM2PLFqbVFhhbnX46i1o+8gijwmbNWMKouIRfny4eO/xZaRsGIMlae4u1djqA9wB0Ncb0Cc7QRNypZUvg5ZeZ93bBBUwArlePLbL27XP4w9q35wT59NOMDNesYV2ln392+INExE1KlWLANns28MEHvOcrrKa3z2ec4uM50a1fz473t91W/EEFHaA6is9Bm7X2PWvtbq+vd1trX7LWvmyMGROc4Ym416mnMvVs40YuhM2Zw/hqwwbg228d/KC4OJ6O2LiRS3u//87ckscfV26JiBTp6quZArtzJwO3xYuPfY3fZ5xyDyq8/jp7mrZvz+P3OTkOXNzd/Nke7VzEdqj2XCSmLF3q3A1f/fps3pydzSLjv/3GgG7IEODHH535DABAhQrA99/zLve004DBg1kRODvbwQ8REbdp356FeGvXBs45h/W8ve/3SnzGqVcvrvyPGcNTD40bA/PnO3Rxd/Jne/RmALuMMZuMMf/z5LTl9hxtEaTxicSMk04CatTgP/v25Y5mw4ZARobDJ+VPOYUR5//+xwS7Zs2A++/3LdtYRGJS3bpMSTv3XJYHGTLk6HS0Ep9xqlgRuO8+YNUqfshFF/EQlfdBBR2g+pc/26PdrLVxAIYD2A3gVgCrAWSBddlEJAC5+bY//MBdg/nzgQsv5GHQpCTm7O7Z49CHxcUBw4fzLrdLF97ptmnDAZRUwEdfRSSSVarEfNzbbuPCWJcuwK+/OnTx5GRGhf/9LyfDZs2AKVOCVJk8evld8sOT23aztTbNE8S1BJDg/NBEYkv+fNtvvwWefJJxVMeOnCgbNOAC2cGDDn3oSSexWer8+ayq2aIFq5g7fiJCRNwgLg64+25OGatWAa1a8XyTI+LjWW9y/Xpund56K+ek3buLf2+M8CtoM8bUzf89a+1qANUcGo/j1NRZokVh+bbNmrG9zLJl3C699lqeI5g/36HG9MawY/T69cCgQcA996j1jA80t0gsGziQ9ScPHmTrq99/d/DiJ54ILFjALYc//wS+/BK/rdgUhJYy0cefgwiPAVjtqdX2P2NMZ8/3KyOCc9oSExNhrdXEKhGvuHzbM89kgd4332QayEUX8Sb0nXccOgRavToT6d5+m10U2rfnXa/j7RvcQXOLxLq0NK62nXoqGx907OjwbmavXsDXX+PXMiehxoHtnAT9KcrrQv6stGVZa6sB6ArmtC00xhwBkANgSTAGJxJrisu3NQbo0YM94Z97jvHUOeewWK9jNSfPPpsz8MiR3Is99VRGiiIi+dSqxZvJyy8H7ryTN5KO1r+tVAkD2mzDuGZv5qVwvPKKgx8QXfwJ2rKNMVdba1d7ctqqWWvjrLXx1tqXgzZCETlGXBxX2tavZ97uhg28Cb3gAsZbhfH5rEClSjzXv2wZULky73gvvpj1SAqjVjMiMalcOebfvvYap4G2bZnG4WQq2mfVPXerjRoBvXuzn6ljyb3Rw6/iugAW5G6Likj4lSmT1yf+7rtZubx5c+DKK3lTGrA2bYDVq4EJE5hj0qQJl/jy78eq1YxIzDv3XB5Iv+EGYOZMThcvveRgDe86dZhId+21PFbfpQuwfbtDF48Ofh1E8HRBeD9YgxGRkqlUiadLs7PZ4Hn+fN6QjhrlQIJw2bLAxIkM3ho0AC65hM0If/gh7zVqNSMi4Fz0n/+wu0vNmkC/ftwB2Lat5Nc8ahG/bFn2L33uOTahT0nh3WqM8Lvkh4hErurVeQO6aRM7Vz30EGu83Xknu8UEpFkzbpfOmMEkllNP5d7skSNqNSMiR0lLYxeF6dOBzEygaVNmXBw+7N91Cl3Ev+gifkC1akB6OgtZOnKcPrIpaBOJIE61x6pdm71M161jp6oJExi8/fRTgPNafDz3Pr7+mkl0I0YA7drxBIVazYiIl1KlgNGjOQ+1a8dOCm3aAF9+6fs1ilzEb9qUgduAAdxqOO88h9vHRB4FbSIulptT8tlnXCj77jvOcQU1ffZL3bqsNfLUU6wCnJIC7NrFYr0K2ETES716wFtv5dXwTktje75//in+vcUu4leqBMybxy3TxYuB1FTWIfFVlHVyUdAmEgNateICWFISW4x2787dhZ9/DuCixgCXXcbM49692Yx+9WoGcSIiXrxreF95JduNNmsGvPtu0e/zqV+8MTyc8MknPPXQti3LFTl2AiJyKGgTiRGffsq46tAhblvkHgadOTPALdOaNYHnn2eO2/79vI2eP9+pYYuIi1SrBsyezbTYMmVYFvLii4vuYepzv/hWrXjj2KULg7hLL3UgmTeyKGgTiRHeuSHWMh0tJYV949u1A776KsAPOP54Fr5s3pzLeNdcox6mIlKgDh3Ys3TiRGDhQqBxYzahD3hxrHp14I038hqktm7N5T2XUNAmEiPy54b078/thqee4mnT1FRg3Dhgz54APqRcOUaHY8cCjz3GW+PvvnNg9CLiNmXL8pDUmjXAaacBV1/N7i4BZ1jExfFgwuLFLAjesiV3Awrw5Zf+HYwINwVtIjGioNyQ3LS0DRv4z2nTmGfy1lsBfFDp0rzQ668z6zg1lXuxIiIFaNyYpdbmzGEA17w5yxTt3x/ghbt0YReF5GRg0CDg+usduGh4RXXQZoxJMsYkhHscItGisNyQ6tW5NfHhh0D58qyd27+/n8XG89cr6dWLE2bTpjyS74IJU0SCIy4OGDyYO5l9+nAFLjmZDRACcuKJjAhvuoknTDt0OKpdTIVDu3HCvuhpvxe1QZsxJh3ATABp4R6LiFt06MCtgnvuYVpI48asn+tLQcwCT87XqQN89FHehNm2Lds2iIgU4P/+j6lob70F7N3LOWnjxgDbjJYuDdx/P+sfbdjA1f+33wZWrECDPWtRa3/0tN+L2qDNWpsJQLO/iMPKlAFuvZUFMdu04YGFNm24aFbiC95/P/DKK8DmzZwwFy1ydMwi4i7nnMMa3mPG8GRpdjbjrID06cMabiedBPToAdx2GwyOwABR034v7EGbMaafMWZqIc9leJ4faowZGuqxicSy+vVZP3fePPb9S0vjglmJT9Cffz6P4zdqxMnzxhs5UfoiygpgikjgKlZkPbfPP+fh9B49eCg9oMNSDRuy/tGVV/7bs9QCUdN+L2xBmzEm3RiTAWAYgGPy0jyBXLa1dqG1dhaA+saYfqEep0gsM4b5u+vXA0OGsBF006bAq6+W8IL16rEA5siRbETYvj2Lx4mIFCI1lZ1cxoxhXcnkZMZdJVa+PPD448DcufgKp+EDnIWvbp0XFd1cwha0WWszrbXTAKwu5CVDrbULvb5eAgZ4IhJiVauygseyZTzMcMEFfGzbVoKLlSnDgG3hQuaXpKQEEAWKSCwoV46rbh98wPy2tm2B22/3fbG+ICuaXIXW+BzdsBit7+iOFfO/d2q4QRP27dGCGGNSC/j2TgDpoR6LiOQ580zucE6dyhJITZpw9e3QoRJcrG9fXiwpiRHg6NEBZhuLiNt17AisXcsSRffcw8Wxb74p2bWWLgUOoDQOoxQOoBSWDnmOybwRLCKDNgDVwCDN2y4AyC3x4dkqTQPQv5AgT0SCoHRpNnv++mtOoDfdxO4xf/5ZgovVrw8sXw5cdx3wwAM8KvbDD46PWUTco3Jl4IkngJdf5nSRmgrMmOF/O75OnYDSOIh4HEKZcvHoVP4zfjOCq+1GatCWAAZu3nKDuGoA4Ml1a2GtHWatLWyLVUS85C+lFoh69VgWZMECNp7/4gs2P/jnHz8vVLYs64q88AIjwZQU4M03nRmkiLhW795cGOvWDRg1Cuja1b97vjZtgJkVb8I1ZR/He+/Hoc2KB4AKFYDOnXnKNAJFatC2q4Dv5QZx+VfgirR9+3YYY/59TJw4MeDBiQgZA/Trx4MKxx8P/PQTDyqUqDzIgAFAVhar//bqxZ5aEbxdqrlFJPxq1mRK7OzZPGV62mnAM8/43sP09FLfYHC5eTyD0KAB60pWqcK6bQGddgiOSA3aduLYE6UJAGCtLSigK1RiYiKstf8+NLGKOO+bb4CdntuprVvZ6m/aNN+K8h6lYUMWuBw2jBc46yzgxx+B3bt5Cx1BxS81t4hEBmPYtzS3h+lll/Ee8I8/SnCxunUZuNWowaW7Tz5xergBicigzbPdmT84qwYgMwzDEZFiLF2al08SH89OCuPGAenpJThhWq4cj6rOm8dZuFkz/nNL9FQtF5HQS0piK7577+XqW7NmJSzIW7s2A7cTTwS6d/+3npu/glFeMiKDNo9Z+eqydQXbVolIhOnUib0DAVb0mDWLZZBWrWLz5xdeKMFFBw3iBcqVy9vriJKq5SISHvHxvGFcuZKLZT16AMOHl6AoeGIiI8B69XiRxYv9HsuMLzthxped/H5fUcJZXDfVU1y3H4ABnu4H/54CtdaOA5Dk6YiQAWBzvrptPsnNO9HWhUjwtGnD4KxePeC991ga5MoreQircWNg4EBuWeze7eeFTzkFeP75o7/XoYNj4w6E5haRyHX66Qzcxo7lTWRycsGL9DcmL8WNyUsLvkjNmlxla9QIOO88NkQNM2N9zdaLUmlpaXZVhJ4CEXGT3G2A/Athhw6xntJdd7Hl37PPAu3a+XnxlBRuj+7eDVx+OTB3Lm+pwygtLQ2aW0Qi30cf8aZx2zbglluA8eO5IwAUPm8d5Y8/eET1q694XP7883363C8TePHkXUVd/FjGmCxrbVpBz0Xy9qiIuECpUsCECcDHHzPO6tiRlcz9OhhapQpvne+8E3jqKeDiiyP6ZKmIRI4OHViQ9/LLeQN5xhl+FuStXp1bCKmpPC6/0O9NP8coaBORkGjThtuluRNn27bAxo1+XMAY4I472MvmhReA/v2B/fuDNl4RcY/KlZln+8orPJCemspuLj5vNiYkMK+tdWvme8ybF9TxFsb1QZvyTkQix3HHceJcuJCFeFNSmG9S3MT55ZdeRcrHjAEefpjHwy64ANi7N+jjLojmFpHoc/75LMjbvTu7ucTHA08/7eObK1cG3nmH+R2XXspV/xBzfdCWW0tJE6tI5Ojbl+khZ57Jkmy9ewO//ebHBa6/HpgzB3j3XaBnzxIcDQuc5haR6HTCCVxxmzuXhxVSUlhVyCeVKvFAQufOPG01Z06hL11zqCnm7rvI0SpFrg/aRCQynXgiY64HHmAtpebNeRPrs8GDWfr8o4942+z30VQRiVXGAFddxe4tFSuypqTPveIrVABefx04+2xgyBDg0UePecmKFcCwPQ/g0f2DHS0vqaBNRMImLo49A1euZBusc84BRozwY8fz4ouZ3/b555x1d/rV5U5EYlyDBsD77/M0aZcubMnnk3LlgEWLgHPPBa67jh3rvSxdCrTAKmRgGlL3r3CsvKTrgzblnYhEvubNGbjdeCN7x6eleeWwFadvX06ea9ey7dWvv/r34SUsW665RcQdcgO3uDjuen77rY9vLFuWCbp9+/Luc9q0f5/qVX0FlqAb7sIdWHykC3pVd2apzfVBm/JORKJDuXI8zfXuu0BODtCqFTB9el57rCL16gW88QawaRMDsO3bgz1czS0iLnLKKazqcfgwA7fvvvPxjWXKsAD4wIFsxXD33QCA0/5YinLYh1I4jPJxB3DaH0sdGafrgzYRiS7dunHRrFcvVjNPTwd+PlKj+Dd27cqkuG3bWJhp69bgD1ZEXKNpU6647d/PwG3LFh/fWKoUq4ZfeinLEo0fz4KUMLAATNkyjjUhVdAmIo5YutS5tqDHHw+89BJPd33+OTDgr8ex5GDH4t/YoQOwZAnw++/8982bnRmQiMSEZs2AzEweSO/cGfjhBx/fGB8PPPEED0jddRfw2mv4rkJz7Cjr6e3Xpo0j41PQJiIRKfd015dfAnXjtyHjn0l4+GEf3njGGbxd3rOHgduGDUEfq4i4R3Iy7/1ycpgm++OPPr4xPp6FJ6+5Bpg6FQmHfsOvZWs7FrABMRC0KVlYJLo1aAAknNkU1asDI0celetbuNRULvsdPpzXw8ZhmltE3KtFCzZA+P13rrj5nCYbFwc88ghwww044cBPOHHfdz4m5vp4eceuFKGULCwS/f76i90U0tOZ6ztxog/tZ5o1Az78kInCZ50FZGU5OibNLSLu1qoV02R37GA5kF9+8fGNxgD/+Q9+KXMSEg7+xgs4xPVBm4hEtxUruFD2/ffAsmVsgDBpEoO3YgO3U05h8d3KlXm7vHx5KIYsIi7Rpg0bIPzwAwM3nzu3GIMd5ZLwbaU0VhJ3iII2EYloS5fm7S4cOMDWV9dey77xI0b4sPOQlMTArWZNHk116rSEiMSE9u1ZUSg7m6v9f/zh4xuNwaG4Mo6ORUGbiES0Tp2YJgLk7XT+97/sG//II+wic/hwMRepXZtbpXXqsO3Cu+8Ge9gi4iJnnQW89hoL73btykMK4aCgTUQiWps27JhQz+vkvDE8kDB+PPD44yyPdPBgMReqVYurbI0bA+edxxlYRMRH6elsNP/11+Frd+z6oE0nvESiX5UqwMknH31y3hjmtt17LzB/PnDhhdw+LVKNGiwHkpzM1jMLFnDm/eEHvzs6a24RiT1nn80akl9+yX//88/Qfn6p0H5c6CUmJmJ7CFraiEh4jBsHVKjAciAXXMAJtXz5It5QtSqLMPXsyUgP4ImGLl38KoKpuUUkNvXqBbz4ItC/P9CjB0+YVqoUms92/UqbiLjfiBGsafnOO4zF/v67mDdUrswXJyXlHUE9cECHFETEJxdcwBX+Tz9lELdnz7GvSU7mw0kK2kTEFYYMAZ5+mgdFfco3qVgRmDMHFoAFgNKlHesPKCLu168fW45+/DFw/vnA3r3B/0wFbSLiGpdcArzwAvuVduniw9H8Tp3wXYXT8XvpWsx1c7DdjIi438CBwJNPcvro3RvYty+4n6egTURcpW9fnvBat47H9H/9tejX7ymdgJ8qNFLAJiIlcumlwJw5rCTUrx+wf3/wPktBm4i4Ts+eLIa5eTNbj/70U7hHJCJudtVVwMyZwJtv8nzTwYNgjqzDebIK2kTEldLTedZg+3YGbt9/H+4RiYibDR3Kwt+vvgoMGuRD7cgScH3QplpKIrGrfXsgMxPYuZOB26ZNzl1bc4uI5HfddcCMGSw9dOmlwKFDzl5fddpExNVateIORXo6A7fMTODUUwO/ruYWESnIDTdwlW3sWKBUKeCpp4D4eGeu7fqVNhGR009n61FjgI4dgS++CPeIRMTNxowBJk9mCaJffnHuugraRCQmNG3KCbRiRZ4q/fTTcI9IRNzslluAtWuBxETnrqmgTURiRoMGDNyOPx7o2pX/LiISLAkJzl5PQZuIxJQ6dRis1a7Nhs8rDqaFe0giIj5R0CYiMScxkYcTGjUCbvhnMj48qMK6IhL5FLSJSEw64QS2nmkUvxkZ/0zCjz+Ge0QiIkVT0CYhp7pW7hKKn2cQCosDAKpVAx6rOBpTK0zESSc5f30JLc0t7qKf57GMtTbcYwiqxMREu2PHDkyYMEF/ASKEMQZu/3sXS6L95/lUpWux6lAyLvpgqF/tRxMTE6G5JbJE+99FOVqs/jyNMVnW2gKTbV2/0paYmAhrraOTqtMTdCDX8+e9vry2uNcU9ry/348UwRhfSa8ZKT/Lop5z289zxQpg2J4H8Oj+wejShV/7ej3NLf69VnNL+K4ZKT/Lop6LtZ9nSa/n+pW2tLQ0u2rVKkev6XT0H8j1/HmvL68t7jWFPe/P9yPp7ikYYynpNSPlZ1nUc277eU6ZAtx+62EcQTzi44G77mJtJV+ul5aWBs0tvr9Wc0v4rhkpP8uinou1n2cx/40KXWlzfdBmjPkNwFaHL5sIwMn+NYFcz5/3+vLa4l5T2PP+fN/p/36BCMZYSnrNSPlZFvWcy36ex1UEGjYCYABYYNNG4K89Pl4vFcDqEo6zMJpbAvt+FP9dDOo1I+VnWdRzsfbzLOp6day1NQp6wvVBm0QPY0w/ALsAJAHItNZmh3lIEgBjTBKAndbaXeEei8Q2zS3uEstzi+tz2iQ6eH4JW1prM621swBMDfeYpOSMMekAZgJQ5VoJK80t7hLrc4uCNokU/QBs9vo6NVwDkcBZazMBaDVDIoHmFheJ9bmlVLgHIO7j2Ypoaa0dV8BzGeAvXDUA8Nz5AkB15PtFNMYkxOLydyQp4c9SJCg0t7iH5paS0UqbOMYYk+75ZRsG4Jg2ucaYqQCyrbULPb+E9T2/uLmqhWioUgwHfpYijtHc4h6aWwKjoE0c48kZmYbCT9QNtdYu9Pp6CfiLCwB/5HttNd0Jh0+AP0sRR2lucQ/NLYFR0CYhYYwpKI9kJ4B0z78vBNDC89oEAJkhGpr4yYefpUjIaG5xD80txVNOm4RKNfCXz9su4N/8kmxjTJbnZFAqgGPyHCRiFPez3OXZzkjzfG+ntdbpemYiuTS3uIfmlmIoaJNQScCxeSW5v5zVAOzySjbVnXBk8+VnuRBc4RAJNs0t7qG5pRjaHpVQKSiHJPeXM/+dlUQ2/Swlkujvo3voZ1kMBW0SKjtx7EmhBABQUnDU0c9SIon+PrqHfpbFUNAmIeHJO8j/S1cN2q6IOvpZSiTR30f30M+yeAraJJRm5au30xVsRyLRRz9LiST6++ge+lkWQQ3jxTGe49rpYE2dagCmgM2ZV3u9JrfSdRKOThCWCKKfpUQS/X10D/0sA6OgTURERCQKaHtUREREJAooaBMRERGJAgraRERERKKAgjYRERGRKKCgTURERCQKKGiTmGCMSTDGLDHGLDDGJIV5LBmecWSEcxwiEjjNLRJKCtoklqy21va31mYbY6YaYzYbYzYX9QbP66znn45MyNbaaQCGAKjvxPVEJOw0t0hIKGiTmGStHQdgHPBvsceiZFtrx1lrs4M/MhGJZppbJJgUtEmsWwhW5j6GMSYdwJLQDkdEXEJzizhOQZvEupkABoR7ECLiOppbxHGlwj0AkfyMMUMBJIC953L7z7UEsMRam+nkZ3lyULKNMf2stQu9xpD7+Uflmni2O2Z7nsttYpwEoL5nWyT/nyW3hx4AVFMPPZHw0dwi0U4rbRJRPAm52QAywQksyTPhpSLfJOegmTh2GyOtoDwTT1PjcZ7xrLLWZnomyyXGmKO2O4wxU8GclYWeP8OLxph+wfkjiEhRNLeIGyhok0iT5LnjTYNnUgIAa23XYN1Jeq6b7rkD9sVOz9h2eV0jE0CSJ1cl9256qPcdNoChALo6NGwR8Y/mFol6CtokonhtUXQF8EIIP3ohOPHlblOsKsE1VoN3yQCQjryti1yz4DlVJiKhpblF3EBBm0SqdHAbI1S8tzGqed/pOsVauysY1xURv2hukailoE0ijif3JMGT45H/uXRjTI4xZqgxpp+nMGVxtZCKlXsXHuC1UpH3PwPvO2MRiQCaWyTaKWiTSFTonbBnAlwFINOThDsOwIISfk7+5OOFAGb7eIoszTtPxZMEvDr3fwaeRONZntNqyPc6EQkPzS0S1VTyQyJRfRQ/We70+vdsY0xqQXfPhfGcvsowxtQHMM6ztTAz32v6gdsaSZ7XT/HaglgFTq4ASwi0tNb2936/tXaYpxfg0Nzx5kseFpHQ0twiUabaih4AAAD6SURBVE1Bm0ScgmoSBekzxuX7Xrb39zyTYKETYb675gJf5+kFKCIRQHOLRDttj0q08t5+qObPnbCISBE0t0jE0kqbRKs0Y0w18Ph+/+JeLCLiI80tErEUtEm0etGTAxLKo/u5J8CmggUzM7RFIeI6mlskYilok1iSaoxZACYHH9NGxheerZKAKo97ega2BLAykOuISMTQ3CIhYay14R6DiM88rVwWAJgViqRiEYkNmlskGihoExEREYkCOj0qIiIiEgUUtImIiIhEAQVtIiIiIlFAQZuIiIhIFFDQJiIiIhIFFLSJiIiIRAEFbSIiIiJRQEGbiIiISBT4f9c/5utU/AmVAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x117ef5450>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, _axes = plt.subplots(2, 2, figsize=(10, 8), sharex=True, sharey=True)\n",
"fig.subplots_adjust(hspace=0) # smash top and bottom plots\n",
"fig.subplots_adjust(wspace=0) # smash left and right plots\n",
"\n",
"((ax1, ax2), (ax3, ax4)) = _axes\n",
"axes = ax1, ax2, ax3, ax4\n",
"for ax in axes:\n",
" __=ax.loglog()\n",
"\n",
"__=ax1.errorbar(rp_zehavi, wp_blue19p0, np.sqrt(wperr_blue19p0), \n",
" fmt='.', color='blue', label=r'${\\rm SDSS}$')\n",
"__=ax1.errorbar(rp_zehavi, wp_red19p0, np.sqrt(wperr_red19p0), \n",
" fmt='.', color='red')\n",
"__=ax1.plot(rp_mids, wp_v4_19p0_blue, color='blue', label=r'$M_{\\rm r} < -19.0$')\n",
"__=ax1.plot(rp_mids, wp_v4_19p0_red, color='red')\n",
"\n",
"__=ax2.errorbar(rp_zehavi, wp_blue19p5, np.sqrt(wperr_blue19p5), \n",
" fmt='.', color='blue', label=r'${\\rm SDSS}$')\n",
"__=ax2.errorbar(rp_zehavi, wp_red19p5, np.sqrt(wperr_red19p5), \n",
" fmt='.', color='red')\n",
"__=ax2.plot(rp_mids, wp_v4_19p5_blue, color='blue', label=r'$M_{\\rm r} < -19.5$')\n",
"__=ax2.plot(rp_mids, wp_v4_19p5_red, color='red')\n",
"\n",
"__=ax3.errorbar(rp_zehavi, wp_blue20p5, np.sqrt(wperr_blue20p5), \n",
" fmt='.', color='blue', label=r'${\\rm SDSS}$')\n",
"__=ax3.errorbar(rp_zehavi, wp_red20p5, np.sqrt(wperr_red20p5), \n",
" fmt='.', color='red')\n",
"__=ax3.plot(rp_mids, wp_v4_20p5_blue, color='blue', label=r'$M_{\\rm r} < -20.5$')\n",
"__=ax3.plot(rp_mids, wp_v4_20p5_red, color='red')\n",
"\n",
"__=ax4.errorbar(rp_zehavi, wp_blue21p5, np.sqrt(wperr_blue21p5), \n",
" fmt='.', color='blue', label=r'${\\rm SDSS}$')\n",
"__=ax4.errorbar(rp_zehavi, wp_red21p5, np.sqrt(wperr_red21p5), \n",
" fmt='.', color='red')\n",
"__=ax4.plot(rp_mids, wp_v4_21p5_blue, color='blue', label=r'$M_{\\rm r} < -21.5$')\n",
"__=ax4.plot(rp_mids, wp_v4_21p5_red, color='red')\n",
"\n",
"xlabel3 = ax3.set_xlabel(r'${r_{\\rm p}\\ [{\\rm Mpc}]}$')\n",
"xlabel4 = ax4.set_xlabel(r'${r_{\\rm p}\\ [{\\rm Mpc}]}$')\n",
"\n",
"ylabel1 = ax1.set_ylabel(r'$w_{\\rm p}({r_{\\rm p})\\ [{\\rm Mpc}]}$')\n",
"ylabel3 = ax3.set_ylabel(r'$w_{\\rm p}({r_{\\rm p})\\ [{\\rm Mpc}]}$')\n",
"\n",
"for ax in axes:\n",
" leg = ax.legend()\n",
" leg.legendHandles[0].set_color('k')\n",
" leg.legendHandles[1].set_color('k')\n",
" \n",
"figname = 'v4_color_dependent_clustering_vs_zehavi11.pdf'\n",
"fig.savefig(figname, bbox_extra_artists=[xlabel1, ylabel1], bbox_inches='tight')"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python [conda root]",
"language": "python",
"name": "conda-root-py"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.14"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment