{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Dynamical Power Spectra (on fake data)" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%matplotlib inline" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "'2.2.dev64+ga4a8b8a0'" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "# import some modules\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import stingray\n", "stingray.__version__" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "# choose style of plots, `seaborn-v0_8-talk` produce nice big figures\n", "plt.style.use('seaborn-v0_8-talk')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Generate a fake lightcurve" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "# Array of timestamps, 10000 bins from 1s to 100s\n", "times = np.linspace(1,100,10000)\n", "\n", "# base component of the lightcurve, poisson-like\n", "# the averaged count-rate is 100 counts/bin\n", "noise = np.random.poisson(100,10000)\n", "\n", "# time evolution of the frequency of our fake periodic signal\n", "# the frequency changes with a sinusoidal shape around the value 24Hz\n", "freq = 25 + 1.2*np.sin(2*np.pi*times/130)\n", "\n", "# Our fake periodic variability with drifting frequency\n", "# the amplitude of this variability is 10% of the base flux\n", "var = 10*np.sin(2*np.pi*freq*times)\n", "\n", "# The signal of our lightcurve is equal the base flux plus the variable flux\n", "signal = noise+var" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "# Create the lightcurve object\n", "lc = stingray.Lightcurve(times, signal)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Visualizing the lightcurve" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.plot(labels=['Time (s)', 'Counts / bin'], title=\"Lightcurve\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Zomming in.." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "lc.plot(labels=['Time (s)', 'Counts / bin'], axis=[20,23,50,160], title='Zoomed in Lightcurve')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# A power spectrum of this lightcurve.." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "33it [00:00, 13361.52it/s]\n" ] } ], "source": [ "ps = stingray.AveragedPowerspectrum(lc, segment_size=3, norm='leahy')" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(ps.freq, ps.power, label='segment size = {}s \\n number of segments = {}'.format(3, int(lc.tseg/3)))\n", "plt.title('Averaged Powerspectrum')\n", "plt.xlabel('Frequency (Hz)')\n", "plt.ylabel('Power')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## It looks like we have at least 2 frequencies. \n", "# Let's look at the Dynamic Powerspectrum.." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "33it [00:00, 4274.61it/s]\n" ] } ], "source": [ "dps = stingray.DynamicalPowerspectrum(lc, segment_size=3, norm=\"leahy\")" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "extent = min(dps.time), max(dps.time), min(dps.freq), max(dps.freq)\n", "plt.imshow(dps.dyn_ps, aspect=\"auto\", origin=\"lower\",\n", " interpolation=\"none\", extent=extent)\n", "plt.title('Dynamic Powerspecttrum')\n", "plt.xlabel('Time (s)')\n", "plt.ylabel('Frequency (Hz)')\n", "plt.colorbar(label='Power')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## It is actually only one feature drifiting along time" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ " # Rebinning in Frequency" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The current frequency resolution is 0.33333333333324333\n" ] } ], "source": [ "print(\"The current frequency resolution is {}\".format(dps.df))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's rebin to a frequency resolution of 1 Hz and using the average of the power" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "dps_new_f = dps.rebin_frequency(df_new=1.0, method=\"average\")" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The new frequency resolution is 1.0\n" ] } ], "source": [ "print(\"The new frequency resolution is {}\".format(dps_new_f.df))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's see how the Dynamical Powerspectrum looks now" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(15.0, 30.0)" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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57KJl1qxZWrZsmSZNmqScnJwaz/3rv/6rduzYob/85S/VK4rdfvvt6ty5sx544AE9//zzmjBhQoPGLSoqqvFxcXFxnXNtAAAAADRul1XezZkzRwsWLND48eP13HPP1Xju448/1rp16/Sd73ynumCpMmrUKEnS22+/fTnDAwAAAI2SrdDfqyWcJk80uGiZM2eO5s6dq+zsbK1cuVKWVXOJv8LCQkkX5rv8s/NfLLV53vSSmwAAAADCToOKlnnz5mnu3LkaN26cVq9erUCgdkyXLl0UERGh//zP/9SpU6dqPLdmzRpJUp8+fRoyPAAAANCo2Qp48ggXrue0LF++XI8//rjS09OVlZWlF198scbzKSkpGjJkiFq0aKHp06dryZIluuGGGzRx4sTqifjr1q1Tp06dGjyfBQAAAEDT4bpoyc/Pl3Rhzkp2dnat5wcOHKghQ4ZIkp588kl16dJFK1eu1KJFi1RRUaHU1FQ98MADmjNnjpKSki7z8AEAAACEO9dFy5o1a6ov77oUy7I0ceJETZw40e0wAAAAQNgKOgEFQ3zzx1Dneyl8XgkAAACAsGTk5pIAAAAA6s+WJVvWpXe8zDHCBZ0WAAAAAL5GpwUAAADwGHNa3AmfVwIAAAAgLNFpAQAAADwWVEDBEPcPQp3vpfB5JQAAAADCEp0WAAAAwGO2Y8l2Qrx6WIjzvUSnBQAAAICv0WkBAAAAPGZ7MKfFDqP+RPi8EgAAAABhiU4LAAAA4DHbCcgO8X1UQp3vpfB5JQAAAADCEkULAAAAAF/j8jAAAADAY0FZCiq0SxKHOt9LdFoAAAAA+BqdFgAAAMBjTMR3J3xeCQAAAICwRKcFAAAA8FhQoZ9zEgxpurfotAAAAADwNTotAAAAgMeY0+JO+LwSAAAAAGGJTgsAAADgsaATUDDEnZBQ53spfF4JAAAAgJCyLKvOR0JCQq19CwoKNHLkSDVv3lzx8fEaMGCA3nrrrQaNG36dlmBQssyslWBFRxvJkSQrOclYliTtn/w1Y1nJPT8zliVJmSmHjGUFrPPGsiRpWPJHxrI2nrzBWJYk/el4a2NZnxy9yliWJHV95KDRPKfsrLEsK66ZsSxJcs6WG80zyYoy95btnDP7vaWSEmNRJt97JSl4uthYVkRCvLEsSZLBr6kkBU+eNphWajBLsiIijOaZZAXM/Q03cHULY1mS5JSY+zoErko2liVJwc9PGMuyy8rM5DjnjOR4wZElO8Srhzkhyh8wYIAmTZpUY1tUVFSNjw8cOKD+/fsrMjJSM2bMUHJyslasWKGhQ4fqtddeU1ZWlqsxw69oAQAAABAyHTt21L333vuV++Tk5OjUqVPauXOnevbsKUm677771K1bN02ZMkV79uyRZdW/qOLyMAAAAMBjVXNaQv0IlcrKSpWW1t0JPHPmjDZu3KhBgwZVFyySlJCQoAkTJmjv3r3Kz893NR5FCwAAAIB6+4//+A/FxcUpMTFRrVu31rRp03T69D8uT921a5cqKirUr1+/Wp+bmZkpSa6LFi4PAwAAAMJYRkaGAl+au1VUVNTgrL59+2rUqFHq3LmziouL9eqrr2rZsmV6++23tWPHDiUkJOjo0aOSpNTU1FqfX7WtsLDQ1bgULQAAAIDHbMeS7YR2In4o8t9///0aH9933326/vrr9dhjj+mZZ57RY489prIvFlaIiYmp9fmxsbGSVL1PfXF5GAAAABDG9u3bp6KiouqHaT/5yU8UHR2tTZs2SZLi4uIkSRUVFbX2LS8vr7FPfdFpAQAAADwWVEDBEPcPQp1fJSoqSu3atdNnn124jUa7du0k1X0JWNW2ui4d+yp0WgAAAAA0WHl5uY4cOaKUlBRJUvfu3RUTE6Pc3Nxa++bl5UmSevfu7WoMihYAAADAY1VzWkL9MOnzzz+vc/usWbN0/vx5DR8+XNKFpY2HDx+ubdu26cMPP6zer7S0VCtXrlRGRob69u3ramwuDwMAAABwSQsWLFBeXp4GDx6s9PR0lZaW6tVXX9XWrVv1zW9+U9OmTaved/HixdqyZYtuvfVWPfjgg0pKStKKFStUWFioTZs2ubqxpETRAgAAAHjOVkB2iC96Mp0/aNAg/fWvf9Xzzz+vzz//XBEREcrIyNDChQv10EMPVa8MJkmdO3fW9u3b9cgjj+iJJ55QZWWlevXqpddff11ZWVmux6ZoAQAAAHBJ3/3ud/Xd73633vt37dpVGzZsMDI2RQsAAADgsaBjKRji+7SEOt9LTMQHAAAA4Gt0WgAAAACPhWJ1r7rGCBd0WgAAAAD4GkULAAAAAF/j8jAAAADAY44TkO2Etn/ghDjfS+HzSgAAAACEJTotAAAAgMeCshRUiJc8DnG+l+i0AAAAAPA1Oi0AAACAx2wn9EsS205I4z1FpwUAAACAr9FpAQAAADxme7B6WKjzvRQ+rwQAAABAWKLTAgAAAHjMliU7xKt7hTrfS3RaAAAAAPganRYAAADAY0HHUjDEq4eFOt9LdFoAAAAA+BqdFgAAAMBjrB7mTvi8EgAAAABhiaIFAAAAgK9xeRgAAADgMVuW7BBPlGfJYwAAAADwCJ0WAAAAwGOOBzeXdMKo0+K6aNm7d6/Wrl2rN954QwcOHFB5ebk6deqkUaNGafr06YqPj6/1OZs2bdJTTz2lnTt3qqKiQmlpabr11lu1bNkyIy/iy1L+YCs6wTaSlRhVbiRHkl7b38FYliTF7jB3Era89zNjWZJ0IKaFsSz71GljWZJUENXXWJYVYbZR2TzN3N8QAt3M/j3i22/vN5oXF6gwlvXyN68xliVJTuU5Y1mBhNrvh5fDLikxlmXFxBjLMs2KjzOaF6isNBhm9heA4Emz73EmRSQlXOlDuKig4Z8NgWaxxrLsz08Yy5IkWeZ+1lgG398kKaJFc3NhlpnvrYBdKZn7EQMfcf2bzerVq7V8+XKNGDFCY8eOVVRUlLZu3aqZM2fqpZdeUl5enpo1a1a9/9y5czVnzhwNHTpUc+fOVVxcnD7++GPt2rXL6AsBAAAAGgvb8WBOSxjdXNJ10XLnnXcqJydHycnJ1dsmT56sjIwMLVy4UKtWrdLUqVMlSZs3b9acOXM0b948zZo1y9xRAwAAAGgyXPcce/fuXaNgqXLXXXdJknbv3l29bdGiRWrdurVycnIkSaWlpbJtM5duAQAAAI1V1c0lQ/0IF8ZeyZEjRyRJKSkpkqQzZ87onXfe0Te/+U2tWrVKqampSkxMVEJCgu6++2598sknpoYGAAAAEMaMzNYNBoOaP3++IiMjNWbMGEnS/v37FQwGlZeXpzfeeEOPPPKIevTooXfffVfPPPOMdu3apf/93/9VXFzDJly2bdu2xsd0cAAAANBYMKfFHSNFy/Tp05Wbm6tFixapS5cukqSSL1a5OX78uFasWKEJEyZIkm6//XYlJSVp7ty5ev755/XAAw+YOAQAAAAAYeqyLw+bNWuWli1bpkmTJlXPXZFUvYJYIBDQuHHjanxOdna2JGnbtm0NHreoqKjGY9++fQ3OAgAAALxkf3GfllA/wsVlFS1z5szRggULNH78eD333HM1nktLS5MkNW/eXDH/dD+Aqku7Tp48eTnDAwAAAGgCGnx52Jw5czR37lxlZ2dr5cqVsv7ppkApKSlKT0/X3//+d5WVldWYu1I1ab9169YNHR4AAABotJjT4k6DOi3z5s3T3LlzNW7cOK1evVqBQN0x48aNk+M4+tWvflVj+7PPPitJuu222xoyPAAAAIAmxHWnZfny5Xr88ceVnp6urKwsvfjiizWeT0lJ0ZAhQyRJM2bM0Msvv6wf//jH2rt3r3r06KH33ntP69at080331x9bxcAAAAAuBjXRUt+fr4k6eOPP66eUP9lAwcOrC5akpKS9O6772rWrFnasGGDVq1apbS0ND366KOaNWuWIiIiLvPwAQAAgMaHy8PccV20rFmzRmvWrKn3/i1bttSzzz5bfUkYAAAAALhh5D4tAAAAAOqPTos7l32fFgAAAAAIJTotAAAAgMfotLhDpwUAAACAr9FpAQAAADzmSLIV2k6IE9J0b9FpAQAAAOBrdFoAAAAAjzGnxR06LQAAAAB8jU4LAAAA4DE6Le7QaQEAAADgaxQtAAAAAHyNy8MAAAAAj3F5mDt0WgAAAAD4Gp0WAAAAwGN0Wtyh0wIAAADA1+i0AAAAAB5zHEtOiDshoc73Ep0WAAAAAL5GpwUAAADwmC1LtkI8pyXE+V6i0wIAAADA1+i0AAAAAB5j9TB36LQAAAAA8DU6LQAAAIDHWD3MnbArWj4dE6/IQLSRrKMljpEcSepQ9pGxLEmKSEw0FxYwe0Kf//Qzo3kmBSIijGU5waCxLEnS4UJjUUn7DhrLkqRNL7cymhfxtVRjWb3e+ZuxLEm6r3mesawHxv/IWJYkxew6ZCzLPl1iLEuSrOgoY1n2yVPGsiQp0Pwqc2EG30MkySo9YzRPlrkLKJzyCmNZkuQEbXNhAbNfB5MCV7cwmmd/fsJYVrDE7Pe9SdaN3Yzk2MFy6XMjUfCZsCtaAAAAAL9jTos7zGkBAAAA4GsULQAAAAB8jcvDAAAAAI8xEd8dOi0AAAAAfI1OCwAAAOAxx4OJ+HRaAAAAAMAjdFoAAAAAjzmSHHO3BLzoGOGCTgsAAAAAX6PTAgAAAHjMliVLIb65ZIjzvUSnBQAAAICv0WkBAAAAPMZ9Wtyh0wIAAADA1+i0AAAAAB6zHUtWiDshob4PjJfotAAAAABokLKyMnXs2FGWZWnq1Km1ni8oKNDIkSPVvHlzxcfHa8CAAXrrrbdcj0PRAgAAAKBBZs+erePHj9f53IEDB9S/f3/l5uZqxowZevLJJ1VaWqqhQ4dq8+bNrsbh8jAAAADAY47jwc0lQ5z/pz/9SU8//bR+/vOf6+GHH671fE5Ojk6dOqWdO3eqZ8+ekqT77rtP3bp105QpU7Rnzx5ZVv0uYaPTAgAAAMCVYDCoiRMnatiwYfre975X6/kzZ85o48aNGjRoUHXBIkkJCQmaMGGC9u7dq/z8/HqPR9ECAAAAeKxqyeNQP0Llqaee0p49e7Rs2bI6n9+1a5cqKirUr1+/Ws9lZmZKkquihcvDAAAAgDCWkZGhQOAfvYqioqLLyjt48KAef/xxzZ49Wx06dNChQ4dq7XP06FFJUmpqaq3nqrYVFhbWe0yKFgAAAMBjjfnmkpMnT1bHjh310EMPXXSfsrIySVJMTEyt52JjY2vsUx8ULQAAAEAY27dvn5KSkoxkrV27Vm+++abeeecdRUVFXXS/uLg4SVJFRUWt58rLy2vsUx8ULQAAAIDHGuPNJSsqKvTQQw/ptttuU5s2bbR//35J/7jM6/Tp09q/f79atmypdu3a1Xjuy6q21XXp2MUwER8AAADAJZ09e1bHjx/Xpk2blJGRUf0YNGiQpAtdmIyMDK1cuVLdu3dXTEyMcnNza+Xk5eVJknr37l3vsem0AAAAAB5rjPdpiY+P1/r162ttP378uH74wx9q2LBh+sEPfqDrr79eCQkJGj58uF555RV9+OGH6tGjhySptLRUK1euVEZGhvr27VvvsSlaAAAAAFxSVFSU7rzzzlrbq1YP69SpU43nFy9erC1btujWW2/Vgw8+qKSkJK1YsUKFhYXatGlTvW8sKVG0AAAAAJ670GkJ9ephIY2/pM6dO2v79u165JFH9MQTT6iyslK9evXS66+/rqysLFdZFC0AAAAAGqxDhw5yLlIhde3aVRs2bLjsMShaAAAAAI815vu0XAmsHgYAAADA1yhaAAAAAPgal4cBAAAAHnO+eIR6jHBBpwUAAACAr9FpAQAAADzGRHx36LQAAAAA8LWw67Q4Z8/KsYJX+jBqibi6hdE852y5sSy71FyWJAXi48yFBc1+LW2D/29WlOFvH4Ov1amsNJYlSRGtWxnNc4pLjGXtzIw3liVJ/3PDD41l/cdLS41lSdKA/InGstJnJBnLkiSdPG02zyDb4PnmVJ4zlhUKVmyMubBzZl+ryWMz/bdju6zMWFYgxuDXQFLgqmRjWVZSorEsSdozt7mxrJs6HzCSc+5MpXSLkajQY1KLK646LXv37tXs2bOVmZmpVq1aKTExUT179tTChQt15syZr/zcZ599VpZlybIsffbZZ5d10AAAAACaDld/Kl69erWWL1+uESNGaOzYsYqKitLWrVs1c+ZMvfTSS8rLy1OzZs1qfd7Ro0f1yCOPKCEhQaWlpcYOHgAAAGiUPJjTojCa0+KqaLnzzjuVk5Oj5OR/tConT56sjIwMLVy4UKtWrdLUqVNrfd6UKVPUqVMndevWTWvXrr38owYAAADQZLi6PKx37941CpYqd911lyRp9+7dtZ77wx/+oI0bN+q5555TREREAw8TAAAACB+O480jXBhZPezIkSOSpJSUlBrbi4uLNXXqVN1///3q27eviaEAAAAANDGXvfxRMBjU/PnzFRkZqTFjxtR47qc//als29bixYsvd5ha2rZtW+Nj27aNjwEAAACEAvdpceeyi5bp06crNzdXixYtUpcuXaq3b9++Xb/61a+0bt26Oi8pAwAAAID6uKyiZdasWVq2bJkmTZqknJyc6u2VlZWaNGmSsrKydM8991z2QdalqKioxsfFxcUURwAAAGgcHCv0q3vRaZHmzJmjBQsWaPz48XruuedqPLd8+XLt2bNHS5Ys0f79+6u3l5RcuMHXwYMHVVxcrI4dOzZ0eAAAAABNRIOKljlz5mju3LnKzs7WypUrZVk1q7jDhw/Ltm19+9vfrvPz+/btq/j4eO7ZAgAAAOCSXBct8+bN09y5czVu3DitXr1agUDtBcjGjx+vb33rW7W2L1++XNu2bdPq1avVvHnzhh0xAAAA0Mh5sSRxOC157KpoWb58uR5//HGlp6crKytLL774Yo3nU1JSNGTIEPXo0UM9evSo9fl//OMfJUnDhw9Xy5YtL+OwAQAAADQVroqW/Px8SdLHH3+s7OzsWs8PHDhQQ4YMMXNkAAAAQLhyvniEeoww4ermkmvWrJHjOBd9bNu2rV6fT5cFAAAAQH1d9n1aAAAAALjDzSXdcdVpAQAAAACv0WkBAAAAroQwmnMSanRaAAAAAPganRYAAADAY8xpcYdOCwAAAABfo9MCAAAAeI37tLhCpwUAAACAr1G0AAAAAPA1Lg8DAAAAPGd98Qj1GOGBTgsAAAAAX6PTAgAAAHiNifiu0GkBAAAA4Gt0WgAAAACv0WlxhU4LAAAAAF+j0wIAAAB4zbEuPEI9Rpig0wIAAADA1+i0AAAAAB5znAuPUI8RLui0AAAAAPA1Oi0AAACA11g9zBU6LQAAAAB8Lew6LcGSUllWlJEsKyLCSI4kWc1ijWVJMnqRohVl9jRwyivMhQXMrnoRiI0xmmeSEwwayzJ57kqSKs8ZjbNLzxjLCsQ3M5YlSZH7jhjLGtvz/xnLkqR0FRnLynr7kLEsSfr94RuNZbWaUGIsy7RAYoLRPPvUaaN5JjlB22ieoR/NF7LizH7fyzb3Wp0Ss+ev1THdWNZff5JoLEuSMp4z93Pr0/8pN5Jz3jH78yqkWD3MFTotAAAAAHyNogUAAACAr4Xd5WEAAACA31nOhUeoxwgXdFoAAAAA+BqdFgAAAMBrLHnsCp0WAAAAAL5GpwUAAADwGkseu0KnBQAAAICv0WkBAAAAvMacFlfotAAAAADwNTotAAAAgNfotLhCpwUAAACAr9FpAQAAALxGp8UVOi0AAAAAfI1OCwAAAOA17tPiCp0WAAAAAL5G0QIAAADA17g8DAAAAPCY5Vx4hHqMcEGnBQAAAICv0WkBAAAAvMaSx67QaQEAAADgaxQtAAAAAHyNogUAAACArzGnBQAAAPCYJQ9WDwttvKfotAAAAADwNTotAAAAgNcc68Ij1GOECTotAAAAAHyNTgsAAADgNe7T4gqdFgAAAAC+RtECAAAAwNcoWgAAAACvOR49DCooKNDYsWPVtWtXJScnKy4uTtdee60eeughFRUV1bn/yJEj1bx5c8XHx2vAgAF66623GjQ2c1oAAAAAXNKRI0dUVFSk22+/XWlpaYqMjNRHH32kX//61/r973+vDz74QK1bt5YkHThwQP3791dkZKRmzJih5ORkrVixQkOHDtVrr72mrKwsV2NTtAAAAAAesxwPbi5pOP+WW27RLbfcUmv7v/zLv2j06NFas2aNZsyYIUnKycnRqVOntHPnTvXs2VOSdN9996lbt26aMmWK9uzZI8uq/5LMXB4GAAAAoMHat28vSTp58qQk6cyZM9q4caMGDRpUXbBIUkJCgiZMmKC9e/cqPz/f1RgULQAAAIDXGuGclirl5eX67LPPdOTIEb3xxhu6//77JUm33XabJGnXrl2qqKhQv379an1uZmamJLkuWsLu8rBAs1gFrGgjWXZ5hZEcSbJLSo1lSVJE86uMZdmnThvLkiTHCZoLs83W1VZCrLEs50yZsSxJkm3uncWKiTGWJUnO+fNm84LmzhGrRXNjWZLklJwxlmWXFBvLuhBo7hx585ttjWVJ0tVfjzCWlfHHz4xlSdKo5v9jLGv6/CnGsiSp9ZsfG81zikvMhUWYff+1Db5nRqS1MZYlSYFoM783SNJP3/6jsSxJmr67vbGsb0z/3FiWJAU/PmIsK9DczHt5wK6UzL6FhIWMjAwFAv/4nq5r0rwbK1eu1LRp06o/7tChg9auXasBAwZIko4ePSpJSk1NrfW5VdsKCwtdjRl2RQsAAADge4345pIjR47Utddeq9LSUv35z3/Wxo0b9dln/6gWy8ou/JEipo4/osbGxtbYp74oWgAAAIAwtm/fPiUlJRnLS0tLU1pamqQLBcwdd9yhPn36qKysTDk5OYqLi5MkVVTUvmqpvLxckqr3qS9Xvd+9e/dq9uzZyszMVKtWrZSYmKiePXtq4cKFOnPmH5dUOI6jtWvX6u6771bnzp0VFxen9PR0jRgxQu+//76rAwQAAADCTdXqYaF+eOH666/XDTfcoF/+8peSpHbt2kmq+xKwqm11XTr2VVwVLatXr9ZTTz2lTp06afbs2XryySfVpUsXzZw5U/3799fZs2clXaiqxo0bp4KCAt19991aunSpJk2apD/96U/q16+f1q5d6+ogAQAAAPjX2bNndeLECUlS9+7dFRMTo9zc3Fr75eXlSZJ69+7tKt/V5WF33nmncnJylJycXL1t8uTJysjI0MKFC7Vq1SpNnTpVkZGR2rZtmwYOHFjj8ydOnKhu3brp4Ycf1pgxY2pMCAIAAACaDMe68Aj1GAYdO3ZMbdrUXghj69at2r17twYNGiTpwtLGw4cP1yuvvKIPP/xQPXr0kCSVlpZq5cqVysjIUN++fV2N7apouVhFdNddd2nhwoXavXv3hdDIyFoFiySlpKRo4MCBeuWVV/Tpp5/W+aIBAAAA+M8DDzygoqIi3XzzzWrfvr3Ky8u1c+dO/f73v1diYqKWLFlSve/ixYu1ZcsW3XrrrXrwwQeVlJSkFStWqLCwUJs2bXJ1Y0nJ0ET8I0cuLHmXkpJSr32jo6N11VVXmRgaAAAAaHwa4eph99xzj37729/qhRde0PHjx2VZltq3b6/7779fP/nJT5Senl69b+fOnbV9+3Y98sgjeuKJJ1RZWalevXrp9ddfV1ZWluuxL7toCQaDmj9/viIjIzVmzJiv3PfVV1/V//zP/2jcuHHVy501VNu2Ne8xYNv2ZeUBAAAAuLjRo0dr9OjR9d6/a9eu2rBhg5GxL7tomT59unJzc7Vo0SJ16dLlovvt27dP48aNU2pqao3WEQAAAAB8lcsqWmbNmqVly5Zp0qRJysnJueh+Bw8e1C233CLLsvTaa6+pVatWlzOspNp38iwuLq6xQAAAAADgV14sSezVksdeaHDRMmfOHC1YsEDjx4/Xc889d9H9Dh06pMGDB6u0tFRbtmxR9+7dGzokAAAAgCaoQUXLnDlzNHfuXGVnZ2vlypUXnf1/6NAhDRo0SKdPn9bmzZt1ww03XNbBAgAAAGGhEU7Ev5JcFy3z5s3T3LlzNW7cOK1evfqi91o5fPiwBg8erFOnTunNN9/UjTfeeNkHCwAAAKDpcVW0LF++XI8//rjS09OVlZWlF198scbzKSkpGjJkiEpKSjR48GAdOnRI06ZNU0FBgQoKCmrsO2TIkHotkQwAAACEHQ/mtDTZTkt+fr4k6eOPP1Z2dnat5wcOHKghQ4bo888/18GDByVJS5curTNr69atFC0AAAAALslV0bJmzRqtWbPmkvt16NBBjhNGpR0AAABgEnNaXKl7QgoAAAAA+MRl31wSAAAAgEt0Wlyh0wIAAADA1+i0AAAAAB6zPFg9LOSrk3mITgsAAAAAX6NoAQAAAOBrFC0AAAAAfI2iBQAAAICvMREfAAAA8BpLHrtCpwUAAACAr9FpAQAAADzGksfu0GkBAAAA4Gt0WgAAAIArIYw6IaFGpwUAAACAr9FpAQAAALzG6mGu0GkBAAAA4Gt0WgAAAACPsXqYO3RaAAAAAPganRYAAADAa8xpcSX8ipaICMmKuNJHUUsgLs5onn2mzGieSVZMjLGsQFKisSxJCh7/zFhWINHssamy0liUfbbcWFYoBKKjjGWd/9shY1mSFHF1C2NZgWaxxrIkyQnaxrICVyUby5KkYMHfjGXtyTR7EcCi1v/PWFb5GMtYliRZa819TSXp/tT/NZb1+qnrjWVJ0nea/8VYVrm9z1iWJN2RUGws6zvfNHe+SVKbsuPGsuzyCmNZki78zmWIfeq0mRznnJEc+A+XhwEAAADwtfDrtAAAAAA+x0R8d+i0AAAAAPA1Oi0AAACA15iI7wqdFgAAAAC+RqcFAAAA8BqdFlfotAAAAADwNTotAAAAgMdYPcwdOi0AAAAAfI1OCwAAAOA15rS4QqcFAAAAgK/RaQEAAAC8RqfFFTotAAAAAHyNTgsAAADgMVYPc4dOCwAAAABfo2gBAAAA4GtcHgYAAAB4jYn4rtBpAQAAAOBrdFoAAAAAjzER3x06LQAAAAB8jU4LAAAA4DXmtLhCpwUAAACAr9FpAQAAALxGp8UVOi0AAAAAfI1OCwAAAOAx64tHqMcIF3RaAAAAAPganRYAAADAa8xpcYVOCwAAAABfo9MCAAAAeMxyQn/H+lDne4lOCwAAAABfo2gBAAAA4GtcHgYAAAB4jYn4rtBpAQAAAOBrdFoAAACAKyGMOiGhRqcFAAAAgK+FXafFioyUZZl5WVZEhJEcSXIqKoxlSZJTWWksK6Ll1cayJMkuLjGWdf6T48ayJCkiId5YlsmvgSTZZ8uNZUUkJRjLuhBo7ntBkuzSM8ayrEizb2N2camxLCs6yliWZPYcsc+UGcuSpMh2bYxlBY99YixLkpwSc1/T1Kf/11iWJAWfizGat7y0i7GsiMRoY1mStKyyp7GsQPOrjGVJ0qqzZ41l2WfN/tySbe5P8VaE2b9Vm3z/NfZ7kmObyfEASx67Q6cFAAAAgK+FXacFAAAA8D1WD3OFTgsAAAAAX3NdtOzdu1ezZ89WZmamWrVqpcTERPXs2VMLFy7UmTO1r1MvKCjQyJEj1bx5c8XHx2vAgAF66623jBw8AAAA0BhVzWkJ9SNcuC5aVq9eraeeekqdOnXS7Nmz9eSTT6pLly6aOXOm+vfvr7Nfmsx24MAB9e/fX7m5uZoxY4aefPJJlZaWaujQodq8ebPRFwIAAAAgPLme03LnnXcqJydHycnJ1dsmT56sjIwMLVy4UKtWrdLUqVMlSTk5OTp16pR27typnj17SpLuu+8+devWTVOmTNGePXtkWZaZVwIAAAA0FsxpccV1p6V37941CpYqd911lyRp9+7dkqQzZ85o48aNGjRoUHXBIkkJCQmaMGGC9u7dq/z8/AYeNgAAAICmwthE/CNHjkiSUlJSJEm7du1SRUWF+vXrV2vfzMxMSaJoAQAAAHBJRpY8DgaDmj9/viIjIzVmzBhJ0tGjRyVJqamptfav2lZYWNjgMdu2bVvjY9tuPDcTAgAAQNPGzSXdMVK0TJ8+Xbm5uVq0aJG6dLlwN96ysgt3W46JqX2339jY2Br7AAAAAMDFXHbRMmvWLC1btkyTJk1STk5O9fa4uDhJUkVFRa3PKS8vr7FPQxQVFdX4uLi4uM65NgAAAIDvMBHflcua0zJnzhwtWLBA48eP13PPPVfjuXbt2kmq+xKwqm11XToGAAAAwH+u5P0aG9xpmTNnjubOnavs7GytXLmy1tLF3bt3V0xMjHJzc2t9bl5enqQLK5EBAAAATU4j7LSsXr1ay5cv14gRIzR27FhFRUVp69atmjlzpl566SXl5eWpWbNmkv5xv8bIyEjNmDFDycnJWrFihYYOHarXXntNWVlZrsZuUNEyb948zZ07V+PGjdPq1asVCNRu2CQkJGj48OF65ZVX9OGHH6pHjx6SpNLSUq1cuVIZGRnq27dvQ4YHAAAA4LEreb9G10XL8uXL9fjjjys9PV1ZWVl68cUXazyfkpKiIUOGSJIWL16sLVu26NZbb9WDDz6opKQkrVixQoWFhdq0aRM3lgQAAECT1BhXD7vYVVJ33XWXFi5cWO/7Nc6ePVv5+fmuGhiui5aqe6t8/PHHys7OrvX8wIEDq4uWzp07a/v27XrkkUf0xBNPqLKyUr169dLrr7/uuiUEAAAAwH8aer/GkBYta9as0Zo1a+q9f9euXbVhwwa3wwAAAADhy8M5LRkZGTWmc/zzKryXw6v7NRq5TwsAAACApser+zVStAAAAAAesxxHlhPaVktV/r59+5SUlGQ838v7NV7WfVoAAAAAND1e36+RTgsAAADgtUZ4n5YqV+J+jXRaAAAAANSLm/s1btu2TR9++GH19su5XyOdFgAAAACXdCXv10jRAgAAAHisMd5c8krer5GiBQAAAMAlXcn7NVK0AAAAAF5rxBPxrwQm4gMAAADwNTotAAAAgMca45yWK4lOCwAAAABfo9MCAAAAeI05La7QaQEAAADga3RaAAAAAI8xp8UdOi0AAAAAfI1OCwAAAOA15rS4QqcFAAAAgK+FXafFOXtWjhU0kxU0kxMKVnS0sSz71GljWZLkOObK+kB0lLEsSQoWFxvLCiQmGsuSpEBsjLEsJ2gby5IknTtvNs+kiAijcZZlGctyKs8Zy5KkiObJxrKCJ81+3+u8uXPEatbMWJbfOZWVRvMCCQnGshyDX1NJshLijWUFT5w0liVJEW1amws7c9ZcliQFDL4nGf7Z4FRUGMuK7JBuJMexK6RDRqLgM2FXtAAAAACNQThNlA81Lg8DAAAA4Gt0WgAAAACvOc6FR6jHCBN0WgAAAAD4Gp0WAAAAwGPcXNIdOi0AAAAAfI1OCwAAAOA1bi7pCp0WAAAAAL5GpwUAAADwmGVfeIR6jHBBpwUAAACAr9FpAQAAALzGnBZX6LQAAAAA8DU6LQAAAIDHuE+LO3RaAAAAAPgaRQsAAAAAX+PyMAAAAMBrjnPhEeoxwgSdFgAAAAC+RqcFAAAA8BgT8d2h0wIAAADA1+i0AAAAAF7j5pKu0GkBAAAA4Gt0WgAAAACPMafFHTotAAAAAHyNTgsAAADgNe7T4gqdFgAAAAC+RqcFAAAA8BhzWtyh0wIAAADA1+i0AAAAAF7jPi2u0GkBAAAA4GsULQAAAAB8jcvDAAAAAI8xEd8dOi0AAAAAfI1OCwAAAOA127nwCPUYYYJOCwAAAABfo9MCAAAAeI0lj10Jv6IlIkKyIoxEBWLNNaLs8gpjWZJkRZg7NscJozP6EgJxccayLMsyliVJahZrLCp48rSxLEkKREcZzXMqzH0/WFHRxrIkyXGCxrICCfHGsiTJqTxnLCsiKcFYliQ5ZWfNhdm2uSxJwbIyY1mBmBhjWRcCzV7w4Bj8WRMw+J4kScETp4xlRaa0MpYlScFjnxrLCrS4yliWJOlsubEo2+D3giQFEsy9jwT/XmgmxzH3Pgl/Cb+iBQAAAPA5Sx6sHhbaeE8xpwUAAACAr9FpAQAAALzmOBceoR4jTNBpAQAAAOBrrouWxYsXa9SoUerYsaMsy1KHDh2+cv/XXntNt9xyi9q0aaP4+Hh16dJFP/7xj/XJJ5809JgBAACARs1yvHmEC9eXhz366KNq0aKFevXqpVOnTn3lvitWrNCkSZN044036qc//ani4+OVn5+vp59+Wq+88oo++ugjxcebXV0HAAAAQHhxXbQcOHBAHTt2lCRdd911Ki0tvei+v/jFL9S2bVu99957io29sHTipEmTlJKSooULF+rNN9/UyJEjG3bkAAAAAJoE10VLVcFSH8XFxWrRokV1wVKlXbt2kkSXBQAAAE0TN5d0JaQT8YcOHaq//vWvevjhh/V///d/+vvf/65XXnlF8+fP18CBA3XzzTeHcngAAAAAYSCkSx4/88wzKisr0zPPPKN/+7d/q94+fvx4/epXv1JERMPvXN+2bdsaH9uG76AMAAAAhIrlOLJCvCRxqPO9FNKiJSoqSunp6br99ts1fPhwxcXF6b//+7+1evVqRUREaMWKFaEcHgAAAEAYCFnRYtu2hg0bpvPnz2v79u2yLEuSdOedd+rqq6/Wz372M911113KyspqUH5RUVGNj4uLi5WcnHzZxw0AAACEnP3FI9RjhImQzWl577339O677+qOO+6oLliqjBo1SpL09ttvh2p4AAAAAGEiZJ2WwsJCSVIwGKz13Pnz52v8CwAAADQlzGlxJ2Sdlm984xuSpHXr1uncuXM1nluzZo0kqU+fPqEaHgAAAECYcN1peeGFF3T48GFJ0vHjx1VZWakFCxZIktq3b69x48ZJknr06KE77rhDL7/8snr37q177723eiL+f/3XfykzM1Pf/e53Db4UAAAAoJHgPi2uuC5aVq1aVWsuyqxZsyRJAwcOrC5aJOnFF1/U008/rXXr1mn27NmybVvt27dXTk6OHnvsscta8hgAAABA0+C6aNm2bVu9942OjtaMGTM0Y8YMt8MAAAAA4ctxLjxCPUaYCNmcFgAAAAAwIaQ3lwQAAABQm+VceIR6jHBBpwUAAACAr1G0AAAAAPA1Lg8DAAAAvMZEfFfotAAAAADwNTotAAAAgMcs+8Ij1GOECzotAAAAAHyNTgsAAADgNea0uEKnBQAAAEC9LF68WKNGjVLHjh1lWZY6dOjwlfu///77ysrKUmJiopKSkjRs2DB98MEHrsel0wIAAAB4zfniEeoxDHv00UfVokUL9erVS6dOnfrKffPy8jRo0CClpqZq3rx5kqRly5ZpwIAB2rFjh7p3717vcSlaAAAAANTLgQMH1LFjR0nSddddp9LS0ovu+6Mf/UjR0dF65513lJqaKkkaPXq0unbtqocfflhvvPFGvcfl8jAAAADAY5bjePIwrapguZT9+/crPz9fo0aNqi5YJCk1NVWjRo3S5s2bdezYsXqPS9ECAAAAwKj8/HxJUr9+/Wo9l5mZKcdxtHPnznrncXkYAAAA4DUPVw/LyMhQIPCPXkVRUVFox5V09OhRSarRZalSta2wsLDeeXRaAAAAABhVVlYmSYqJian1XGxsbI196oNOCwAAAOA1R1Ko71j/RSNn3759SkpKCvFgNcXFxUmSKioqaj1XXl5eY5/6CLuixamolGOZabU5waCRHEmyIiKMZUmSXccJ0FARrVsZy5Ik+8QpY1nWVWa/wZySEnNZ588by5KkQFwzY1kRCfHGsiSz55skRVyVbCzLOWf262C7+KvPpTiV54xlSYbfkwyfI4oy9x5nf37CWJYkBZqZ+94y+TWQJJnOc8z9BhQsLjaWJUlWpLlfOZzzZv/fTB6bDL9fmvw6BFz8glgfTrm512rqa2A5tmT2xwIaqF27dpLqvgSsaltdl45dDJeHAQAAADCqT58+kqTc3Nxaz+Xl5cmyLN144431zqNoAQAAADzWWJc8rq/OnTurd+/eWr9+ffWkfOnCBP3169fr5ptvVps2beqdF3aXhwEAAAAIjRdeeEGHDx+WJB0/flyVlZVasGCBJKl9+/YaN25c9b7PPPOMBg8erAEDBmjatGmSpKVLl8q2bS1ZssTVuBQtAAAAgNccebDksfnIVatW6e23366xbdasWZKkgQMH1iha+vfvr23btmnmzJmaOXOmLMtS//79tX79evXo0cPVuBQtAAAAAOpl27Ztrvbv16+ftmzZctnjUrQAAAAAXvPw5pLhgIn4AAAAAHyNTgsAAADgNVuS5cEYYYJOCwAAAABfo9MCAAAAeMyL+6hcyfu0mEanBQAAAICv0WkBAAAAvMbqYa7QaQEAAADgaxQtAAAAAHyNy8MAAAAAr3F5mCt0WgAAAAD4Gp0WAAAAwGt0Wlyh0wIAAADA1+i0AAAAAF6zJVkejBEm6LQAAAAA8DU6LQAAAIDHLMeRFeI5J6HO9xKdFgAAAAC+RqcFAAAA8Bqrh7lCpwUAAACAr9FpAQAAALxmO5IV4k6ITacFAAAAADxBpwUAAADwGnNaXKHTAgAAAMDXKFoAAAAA+BqXhwEAAACe8+DyMHF5GAAAAAB4gk4LAAAA4DUm4rtCpwUAAACAr9FpAQAAALxmOwr5nBNuLgkAAAAA3gi7TksgIU4BK9pMmMnqNGCZy5LknDtvLqv0jLEsSbIizNXC9qnTxrKMC9pG484f+8RcWCDCXJakyJRWRvNsg+ecU3nOWJYkBWJizIVZZr/vTb4nmfwaSFIgMcFYVkRCvLEsSXIMXtMdiDT7Y9OuqDCaZ0Ub+vknKXB1C2NZktn3c6eszFiWJFlxccaygp99ZixLkgKJicay7NJSY1mSFGjWzFyYbfZnaqPg2BceoR4jTNBpAQAAAOBrYddpAQAAAHyP1cNcodMCAAAAwNfotAAAAABeY/UwV+i0AAAAAPA1Oi0AAACA15jT4orrTsvixYs1atQodezYUZZlqUOHDpf8nBdeeEE33XSTkpKSlJCQoOuuu07z589vyPECAAAAaGJcd1oeffRRtWjRQr169dKpU6cuuf/3v/99Pf/887rjjjt07733KhAI6ODBgzp8+HBDjhcAAABAE+O6aDlw4IA6duwoSbruuutU+hU3Klq1apV+85vf6Le//a3GjRvX8KMEAAAAwokjDy4PC228l1xfHlZVsFyK4zhavHixevXqVV2wlJSUGL0zMQAAAIDwF7LVwwoKCnTgwAH1799f8+fP19VXX62kpCRdddVVmjx58ld2aAAAAICwVjURP9SPMBGy1cMKCgokSf/+7/+uyspKzZw5U1//+tf1xz/+Ub/61a9UUFCgt956S5ZlNSi/bdu2NT62bfuyjxkAAACA/4SsaCkpKZEkHT9+XG+++aaysrIkSXfccYccx9Hzzz+v119/Xd/+9rdDdQgAAACAP9m2pBD/0T2M/qgfssvDmjVrJklKTU2tLliqZGdnS5K2bdvW4PyioqIaj3379jU4CwAAAIB/hazTkpaWJklq06ZNreeqLu06efJkqIYHAAAA/IubS7oSsk5L9+7dFRsbq8LCwlrPHTlyRJLUunXrUA0PAAAAIEyErGiJi4vTHXfcoWPHjukPf/hDjeeeffZZSdJtt90WquEBAAAA/2L1MFdcXx72wgsvVN/N/vjx46qsrNSCBQskSe3bt69xE8lFixZp8+bNGjNmjKZNm6YOHTro1Vdf1aZNm3Tfffepf//+hl4GAAAAgHDlumhZtWqV3n777RrbZs2aJUkaOHBgjaIlPT1deXl5euyxx/Sb3/xGp0+fVqdOnfSLX/xCDz744GUeOgAAANBI2Y5Cfst6uwl3Wtyu+NWhQwetW7fO7TAAAAAAICmEc1oAAAAAwISQLXkMAAAAoG6OY8txQnvzx1Dne4lOCwAAAABfo9MCAAAAeM1xQj9RPoyWPKbTAgAAAMDX6LQAAAAAXnM8WPKYTgsAAAAAeINOCwAAAOA125asEK/uxephAAAAAOANOi0AAACA15jT4gqdFgAAAAC+RqcFAAAA8Jhj23JCPKfFYU4LAAAAAHiDTgsAAADgNea0uEKnBQAAAICvhV2nxTl3Xo7lw1rMMXtMTuU5c2EBy1yWLnwNTIlIiDeWJUl2RYWxrIhWLY1lSZJ94qSxLCcYNJYlScHjnxnNs2JijGUFkhKMZUlS8ORpY1mB+ChjWZKMrrdvRZr7GpjmVFaazQsa/H9LTjSWJUmBKLM/hu3SM8aynFPmvhckyYqIMJZl9GegJKnMXJTh30FMfj8E4uKMZUmSXWbu/y2QYOi93HGkcjNR8JewK1oAAAAA37MdyeLysPryYUsCAAAAAP6BTgsAAADgNceRFOIliem0AAAAAIA36LQAAAAAHnNsR06I57Q4dFoAAAAAwBt0WgAAAACvObZCP6clxPkeotMCAAAAwNfotAAAAAAeY06LO3RaAAAAAPganRYAAADAa8xpcYVOCwAAAABfC5tOS9U1e8/v+bmSkpKu8NEAAADAa8XFxfra19Y1irkc53VOCvFhnte50A7gobApWkpKSiRJX/va167wkQAAAOBKKikpUXJy8pU+jDpFR0erTZs2eu/Yq56M16ZNG0VHR3syVihZTmMoRevBtm0dPXpUiYmJsizrSh8ODMjIyJAk7du37wofCfyE8wIXw7mBunBeNC2O46ikpETt2rVTIODfWRDl5eWqrKz0ZKzo6GjFxsZ6MlYohU2nJRAIKC0t7UofBgyqerPhcj98GecFLoZzA3XhvGh6/Nph+bLY2NiwKCS85N8SFAAAAABE0QIAAADA58JmTgsAAACA8ESnBQAAAICvUbQAAAAA8DWKFgAAAAC+RtECAAAAwNcoWgAAAAD4GkULAAAAAF+jaAEAAADgaxQtAAAAAHyNogUAAACAr1G0AAAAAPA1ihYAAAAAvkbRAgAAAMDXKFpwRezdu1ezZ89WZmamWrVqpcTERPXs2VMLFy7UmTNnau1fUFCgkSNHqnnz5oqPj9eAAQP01ltvXYEjh9fKysrUsWNHWZalqVOn1nqec6NpOXHihH784x+rc+fOio2NVatWrTR48GC9++67NfZ7//33lZWVpcTERCUlJWnYsGH64IMPrsxBI6RKS0u1aNEide/eXYmJiWrZsqX69++vNWvWyHGcGvtyXgCNV+SVPgA0TatXr9by5cs1YsQIjR07VlFRUdq6datmzpypl156SXl5eWrWrJkk6cCBA+rfv78iIyM1Y8YMJScna8WKFRo6dKhee+01ZWVlXeFXg1CaPXu2jh8/XudznBtNy+HDhzVo0CCVlpbqBz/4ga655hqdPn1au3btUmFhYfV+eXl5GjRokFJTUzVv3jxJ0rJlyzRgwADt2LFD3bt3v1IvAYbZtq1vf/vb2rFjh7KzszVt2jSVlZXpd7/7ncaPH6//+7//089+9jNJnBdAo+cAV0B+fr5z6tSpWtsfe+wxR5KzdOnS6m2jRo1yAoGA8+c//7l6W0lJiZOenu5cc801jm3bXhwyroCdO3c6ERERzpIlSxxJzpQpU2o8z7nRtHzrW99y0tLSnKNHj37lfn369HESExOdI0eOVG87cuSIk5iY6AwZMiTUhwkP7dixw5HkTJ8+vcb2iooK5+tf/7qTnJxcvY3zAmjcuDwMV0Tv3r2VnJxca/tdd90lSdq9e7ck6cyZM9q4caMGDRqknj17Vu+XkJCgCRMmaO/evcrPz/fkmOGtYDCoiRMnatiwYfre975X63nOjablnXfe0XvvvacZM2aobdu2OnfunMrKymrtt3//fuXn52vUqFFKTU2t3p6amqpRo0Zp8+bNOnbsmJeHjhAqLi6WJLVr167G9ujoaLVs2VLx8fGSOC+AcEDRAl85cuSIJCklJUWStGvXLlVUVKhfv3619s3MzJQkfjENU0899ZT27NmjZcuW1fk850bT8uqrr0qS0tPTNXz4cDVr1kzx8fG65pprtHbt2ur9qr7mFzsvHMfRzp07vTlohFzfvn111VVX6ec//7nWr1+vjz/+WHv27FFOTo527typOXPmSOK8AMIBc1rgG8FgUPPnz1dkZKTGjBkjSTp69Kgk1fjLWJWqbV++lh3h4eDBg3r88cc1e/ZsdejQQYcOHaq1D+dG01JQUCBJmjhxojIyMvT888+rsrJSS5Ys0bhx43Tu3DmNHz+e86KJad68uTZu3KgJEyZo9OjR1dsTExP18ssva+TIkZJ4vwDCAUULfGP69OnKzc3VokWL1KVLF0mqvvwjJiam1v6xsbE19kH4mDx5sjp27KiHHnroovtwbjQtJSUlki78Mrp161ZFR0dLkkaOHKmOHTvq0UcfVXZ2NudFE5SQkKDrrrtOI0aMUP/+/XXixAktX75cY8aM0YYNGzRkyBDOCyAMULTAF2bNmqVly5Zp0qRJysnJqd4eFxcnSaqoqKj1OeXl5TX2QXhYu3at3nzzTb3zzjuKioq66H6cG01L1WqC99xzT3XBIl34S/uIESP029/+VgUFBZwXTcxHH32k/v3766mnntLkyZOrt99zzz267rrrNHHiRB04cIDzAggDzGnBFTdnzhwtWLBA48eP13PPPVfjuarJlXW17au21dXuR+NUUVGhhx56SLfddpvatGmj/fv3a//+/Tp8+LAk6fTp09q/f79OnTrFudHEpKWlSZLatGlT67m2bdtKkk6ePMl50cQ89dRTKi8v16hRo2psj4uL03e+8x0dPnxYhw4d4rwAwgBFC66oOXPmaO7cucrOztbKlStlWVaN57t3766YmBjl5ubW+ty8vDxJF1YiQ3g4e/asjh8/rk2bNikjI6P6MWjQIEkXujAZGRlauXIl50YT07dvX0n/WKzjy6q2tW7dWn369JGki54XlmXpxhtvDOGRwktVBUcwGKz13Pnz56v/5bwAGj/Lcf7pdrGAR+bNm6fHH39c48aN05o1axQI1F1Djxo1Sq+88or+9Kc/qUePHpIu3AG5W7duiomJUUFBQa1iB43TuXPntGHDhlrbjx8/rh/+8IcaNmyYfvCDH+j666/XNddcw7nRhJw8eVLt27dXUlKS9uzZo4SEBElSUVGRMjIylJqaWj1Zv0+fPiooKNCePXuq/8J+9OhRXXvtterbt682b958xV4HzHrwwQf19NNP62c/+5lmzJhRvf3UqVP6xje+ofLych0/flwRERGcF0AjR9GCK2L58uWaOnWq0tPTNX/+/FoFS0pKioYMGSLpwvr6ffv2VVRUlB588EElJSVpxYoV+uijj7Rp0yYNHTr0SrwEeOjQoUP6+te/rilTptRYAplzo2n59a9/rfvvv1/dunXT97//fVVWVurZZ59VUVGR/vjHP+rWW2+VJO3YsUODBw9WWlqapk2bJklaunSpPvnkE23fvr26wEXjd/jwYfXq1UsnT57U2LFjddNNN+nEiRNasWKFDh06pOXLl+uHP/yhJM4LoNG7kne2RNOVnZ3tSLroY+DAgTX2/+tf/+qMGDHCSU5Odpo1a+bcdNNNzptvvnllDh6eO3jwoCPJmTJlSq3nODealpdfftn55je/6cTFxTkJCQnOkCFDnPfee6/Wfjt27HBuvvlmJz4+3klISHBuvfVWZ+fOnVfgiBFq+/fvd+677z4nNTXViYyMdBITE50BAwY4L7/8cq19OS+AxotOCwAAAABfYyI+AAAAAF+jaAEAAADgaxQtAAAAAHyNogUAAACAr1G0AAAAAPA1ihYAAAAAvkbRAgAAAMDXKFoAAAAA+BpFCwAAAABfo2gBAAAA4GsULQAAAAB8jaIFAAAAgK9RtAAAAADwtf8P/nkVfNmV8zEAAAAASUVORK5CYII=", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "extent = min(dps_new_f.time), max(dps_new_f.time), min(dps_new_f.freq), max(dps_new_f.freq)\n", "plt.imshow(dps_new_f.dyn_ps, origin=\"lower\", aspect=\"auto\",\n", " interpolation=\"none\", extent=extent)\n", "plt.colorbar()\n", "plt.ylim(15, 30)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Rebin time" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's rebin our matrix in the time axis" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The current time resolution is 3\n" ] } ], "source": [ "print(\"The current time resolution is {}\".format(dps.dt))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's rebin to a time resolution of 4 s" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [], "source": [ "dps_new_t = dps.rebin_time(dt_new=6.0, method=\"average\")" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The new time resolution is 6.0\n" ] } ], "source": [ "print(\"The new time resolution is {}\".format(dps_new_t.dt))" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(15.0, 30.0)" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "extent = min(dps_new_t.time), max(dps_new_t.time), min(dps_new_t.freq), max(dps_new_t.freq)\n", "plt.imshow(dps_new_t.dyn_ps, origin=\"lower\", aspect=\"auto\",\n", " interpolation=\"none\", extent=extent)\n", "plt.colorbar()\n", "plt.ylim(15,30)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Let's trace that drifiting feature." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "# By looking into the maximum power of each segment\n", "max_pos = dps.trace_maximum()" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Detected frequency drift')" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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3xu7AgQPpE0Tz0qX+PQKA1xle+gEAgkLa+mx33323FRsba8XGxlrt27e3GjZsaBUuXNiSZIWEhFgDBgywTp8+nelzvPPOO1Z4eLglyapatarVvHlzq1OnTtYdd9xhFStWzJJkTZo0ye0xTzzxRPraaB07drS6d+9ude/e3e0+L7/8cvpabtdee63VunVr68EHH7QaNmyYvkbaJ5984vaY77//3ipZsqQlyYqOjrbatGljtWvXzrrpppuskJCQC9YRa9OmTfpacZ07d7a6d+9uPfvss2736devnyXJcrlc1o033mi1bdvW6tChg1WvXr3073vLli1ujxkxYkT6n13jxo2tTp06WdWqVbPCw8Otxx57LNfW2du1a1eWz+HJ39Nnn32W/piaNWtanTp1sm655RZLUvqagZlleuedd9LXg6tXr57Vtm1b68orr7QKFy5s9e/fP8vv35OMaa+T0z+3ZcuWWYUKFUq/vV27dlabNm2smjVrXnQduy1btqS/5sMPP5zpfS4lKSnJuuGGGyxJVvHixa22bdtarVq1sooUKWLVqVMn/c84q3X2LrYupifr7B04cCD9z6Jhw4ZW165dre7du1tLlizx6PsDgEuh2QOAPJDWJKR9uVwuKyIiwqpYsaJ13333WWPGjLF27959yefZtm2b1adPH+uqq66yChYsaBUuXNi68sorrRYtWlhTpkxxW/zcsizr1KlT1sCBA63KlStb+fPnz/IX9vXr11uxsbFWpUqVrPDwcCsyMtKqXr261b59e+udd96xTpw4ccFj9u/fbz355JNW9erVrQIFClgRERHW1VdfbfXp08favHmz230PHTpkde/e3SpfvrwVGhqaZWPw5ZdfWu3bt7fKlStnhYWFWcWKFbOuvfZaKzY21lq4cKF17ty5Cx7z3nvvWXXq1LEKFixoFS1a1Lr33nutdevWXfSX7qx4o9mzrJz/PVmWZa1bt8667777rMjISKtw4cJWnTp1rLlz514y07x586ybbrrJCg8Pt4oWLWq1atXK2rx58yW//5xm9LTZsyzL2r59u/XYY49ZlStXtsLCwqyiRYtaNWvWtJ566inrjz/+yPLPsXz58pYka/Xq1Vne51ISExOtJ5980qpQoYIVFhZmxcTEWE888YR1/PjxLBu23Gr2LMt+jzdu3NiKioqyXC4Xi6wDyFUuy8rkAgEAAOATEhISVLlyZVWsWDHPh86YtHr1at122226/vrr9fPPP5uOAwB+iWv2AACAT7EsS8OGDZMkDRgwwGwYAPBjLL0AAAB8wtKlS7V48WJt2LBBP/30k2rWrKkuXbqYjgUAfosjewAAwCf8+OOPmjlzpnbu3KmWLVtq6dKlCg3lc2kA8BTX7AEAAABAAOLIHgAAAAAEIM6NyKbU1FTt379fERERcrlcpuMAAAAACEKWZen48eMqW7asQkIufuyOZi+b9u/frwoVKpiOAQAAAADas2ePypcvf9H70OxlU0REhCT7DzUyMtJwGgAAAADBKCkpSRUqVEjvTy6GZi+b0k7djIyMpNkDAAAAYFR2Li1jQAsAAAAABCCaPQAAAAAIQDR7AAAAABCAaPYAAAAAIADR7AEAAABAAKLZAwAAAIAARLMHAAAAAAGIZg8AAAAAAhDNHgAAAAAEIJo9AAAAAAhANHsAAAAAEIBo9gAAAAAgANHsAQAAAEAAotkDAAAAgABEswcAAAAAAYhmDwAAAAACEM0eAAAAAAQgmj0AAAAACEA0ewAAAAAQgGj2AAAAACAAhZoOAAS906elhATTKXxPxYpSoUKmUwAAAPgtmj3ApM2bpTvvlP76y3QS31O8uPTZZ9LNN5tOAgAA4Jc4jRMw5fBhqWVLGr2sHDkitWolHThgOgkAAIBfotkDTDh/XmrXTtq503QS37Zvn9S6tXTmjOkkAAAAfodmDzBhwABp1SqnHjxYsiy+0r5eftn5s1m7VurVy94PAACAbKPZA/JafLw0caJTt24tjRxpLI5Pevpp6eGHnXrOHOm118zlAQAA8EM0e0BeWrVK6t/fqWvWtBuZEP4punG5pKlTpbp1nX3PPistX24uEwAAgJ/hN0wgr+zcKbVtKyUn23XJktLSpVKRImZz+aoCBaTFi6WyZe3asqROnaRffzUaCwAAwF/Q7AF5ISnJnrx55Ihdh4ZKH34oVapkNJbPK1PGbvgKFLDr48ftP8fDh43GAgAA8Ac0e0BuS021rz/bvNnZN2GCdPvt5jL5kzp1pOnTnfr336UOHeyJpgAAAMgSzR6Q2154QVq2zKn79bOnSyL7OneWBg1y6i+/lAYONJcHAADAD9DsAblp7lzppZec+s47pbFjzeXxZ6NH26dwphk/XpoyxVweAAAAH0ezB+SWdeuk7t2d+sorpQ8+sK/XQ86FhEjvvCPVqOHs69tX+uorc5kAAAB8GM0ekBv275datZLOnLHriAh78mbx4mZz+bu0P8cSJew6OdmecLprl9lcAAAAPohmD/C206fthdIPHLBrl0t6/33pmmuMxgoYlStLCxY4R0gPH7ZP7zx+3GwuAAAAH0OzB3iTZUk9e9qncKZ5+WXpvvvMZQpEjRtL48Y59aZNUpcu9uRTAAAASKLZA7zrlVekd9916i5dpKeeMpcnkMXFSX36OPWSJdLQoebyAAAA+BiaPcBbli1zXx6gfn17WqTLZS5ToPvPf6QmTZx6zBj7lFkAAADQ7AFesXmzvRacZdl1uXLSwoVSgQJmcwW6/Pml+fOlKlWcfd26SevXm8sEAADgI2j2gMuVNiDkxAm7LlBAWrxYKlPGaKygUaKEPaEzIsKuz5yxJ6GmDcgBAAAIUjR7wOU4f15q317audPZN2uWVLu2sUhB6brr7AXs006Z3bdPatPGWfoCAAAgCNHsAZdjwABp5UqnHjxY6tjRWJygdv/90ksvOfX330u9ejmn1gIAAAQZmj3AU/Hx0sSJTt26tTRypLE4kPTMM9LDDzv1nDnSa6+ZywMAAGAQzR7giVWrpP79nbpmTbuxCOGflFEulzR1qlS3rrPv2Weljz82lwkAAMAQfjMFcmrnTqldOyk52a5LlrTXeCtSxGwu2AoUkBYtksqWtWvLkjp1krZsMZsLAAAgj9HsATlx/Lg96fHwYbsODZUWLJAqVzabC+7KlrUnoqYtfZGUJLVoIR05YjQWAABAXqLZA7IrNdW+HmzTJmffhAlSo0bmMiFrdepI06c79e+/Sx062BNUAQAAggDNHpBdL7xgr+eWpl8/e9ojfFfnztKgQU79xRfSwIHm8gAAAOShUNMBAK85cED6+mvnWjpv2rnTfaz/nXdKY8d6/3XgfaNH20djly2z6/HjpchI6dprvf9a+fJJt94qVajg/ecGAADIIZdlsQhVdiQlJSkqKkqJiYmKjIw0HQf/tH271KCBdOhQ7r9W1arS2rVS8eK5/1rwjuPHpVtukTZvzv3XioyUvvnGntAKAADgZTnpSziNE/4vMVFq2TJvGr2ICPtUTho9/5L291aiRO6/VlJS3r0fAQAALoLTOOHfUlLssfq//ebsu/56+3Q6b4uKshdNz43T/5D7qlSRPv3UXnfv6FHvP79lSRs22NsJCfbyHJ99JoWFef+1AAAAsoFmD/5t0CDpk0+c+oknpDfeMJcHvq12bXtIS24ZOlQaNcre/uor6fHHpUmTcu/1AAAALoLTOOG/3n5bevVVp777bumVV8zlAYYPl9q0cer4eGniRGNxAABAcKPZg39as0bq2dOpr7pKev99e5FzwJSQEPtDiOuvd/b961/Sl1+aywQAAIIWzR78z969UuvW0rlzdh0VZQ/fKFrUZCrAVqSItGSJVLKkXaekSO3b24u6AwAA5CGaPfiXU6fsRu+vv+w6JET64AOpenWjsQA3lSpJCxdK+fPb9ZEj9oTOpCSjsQAAQHCh2YP/sCype3dp/Xpn3+uvS3fdZS4TkJWGDd2v1/v1V+mhh+wjfQAAAHmAZg/+48UX7evy0nTrZk87BHxVjx72NXtpPvpIGjzYXB4AABBUaPbgHxYvll54wakbNLBH2rtcxiIB2fL661LTpk798svSO++YywMAAIIGzR583y+/SA8/7NQVKtjXQ4WHm8sEZFdoqDRvnnTllc6+Hj2k7783lwkAAAQFmj34tr//tgdbnDxp14UK2ZM3o6PN5gJyonhxadkyKTLSrs+etdfj27fPbC4AABDQaPbgu86dk9q1k/74w9n39ttSrVrGIgEeu/pq+5rTkP//sXvggD1Z9vRpo7EAAEDgotmDb7IsqX9/6euvnX3Dhklt25rLBFyue++VXnnFqX/4wZ4wa1nmMgEAgIBFswffNGGCNGWKU7dtKw0dai4P4C0DB0qxsU793nvSv/9tLg8AAAhYNHvwPV98IQ0Y4NS1akmzZzunvwH+zOWS4uOl+vWdfYMH29eiAgAAeBG/PcO37NghtW/vLDx9xRXSkiVS4cJmcwHeVKCAtGiRVL68XVuWveD6pk1mcwEAgIBCswffkZhoT948etSu8+e3l1iIiTGbC8gNpUvbH2QULGjXJ07Y7/9Dh8zmAgAAAYNmD74hJUXq3FnassXZFx8v3XqruUxAbrvpJmnWLKfetcs+sn3+vLFIAAAgcNDswTc8/7z08cdOPWCA9OijxuIAeaZDB2nIEKdetUp6/HFjcQAAQOCg2YN5c+a4j6O/+27p1VfN5QHy2vDh9iLraSZNsr8AAAAuA80ezPr+e6lnT6e+6ip74enQUHOZgLwWEiK9/bZ0/fXOvv79pZUrzWUCAAB+j2YP5uzdK7VuLZ09a9dRUfb4+aJFTaYCzChSxB7YUrKkXaekSO3aSb//bjYXAADwWz7X7G3btk1Dhw5V/fr1VapUKUVERKhWrVoaM2aMTp48meljli9frqZNm6pYsWIqVKiQrrrqKvXr1y+PkyNHTp+2G70//7TrkBBp3jypenWjsQCjKlWyJ9Dmz2/XR47YEzqTkozGAgAA/snnmr0ZM2Zo7Nixqlq1qoYOHapXX31V1atX1wsvvKAGDRro9OnTbvcfMWKE7r//foWGhmrEiBF666239OCDD2rv3r2GvgNckmXZw1fWr3f2vfaafa0eEOwaNpQmTnTqX3+VHn7YWXsSAAAgm1yWZVmmQ2T0ww8/qFq1aoqKinLb/8ILL2jMmDEaN25c+lG7zz//XM2aNdPIkSM1JOM0u1yQlJSkqKgoJSYmKjIyMldfK+C9+KI0eLBTd+smTZ8uuVzmMgG+5vHHpbfecurnnpNeeslcHgAA4BNy0pf43JG92rVrX9DoSVLHjh0lSZs2bUrf9+KLL+qKK67QoEGDJEknTpxQampq3gSFZ5YscW/0GjSwpw7S6AHuXn9datrUqf/9b+ndd83lAQAAfsfnmr2spJ2WGR0dLUk6efKkvv76a9WrV0/Tp09XuXLlFBERoSJFiujBBx/UX3/9dVmvV6ZMGbevatWqXfb3EPQ2brRPR0tToYJ9fVJ4uLlMgK8KDbWvY73ySmdf9+7S2rXmMgEAAL/iF81eSkqKRo0apdDQUHXu3FmStGPHDqWkpGjNmjV6/PHH1bNnTy1cuFBxcXGaP3++mjRpolOnThlOjnSHDtmDJk6csOtCheyjfP/fvAPIRPHi0rJlUtopGmfP2oON9u83GgsAAPgHv1jMbMCAAfruu+/04osvqvr/T2s8fvy4JOnvv//W1KlT1aNHD0lSmzZtFBkZqREjRmj27Nnq3bu3R6954MABtzrt3Fh44Nw5e4R8QoKzb/Zs6cYbjUUC/MbVV9trT95/v5SaKh04YDd8X30lFSxoOh0AAPBhPn9kb8iQIRo/frx69eqVfm2eJBX8/19yQkJC1KVLF7fHxMbGSpJWrVqVZzmRBcuS/vUv+xfTNMOG2c0fgOy5917plVecet06qUcP+98XAABAFny62Rs+fLhGjx6tbt26KT4+3u228uXLS5KKFSum8H9c81WmTBlJ0tGjR/MmKLI2caI0ebJTt20rDR1qLg/grwYOlLp2deq5c6WXXzYWBwAA+D6fbfaGDx+uESNGKDY2VtOmTZPrH9Mao6OjFRMToyNHjlxwbV7aMJcrrrgiz/IiE198YY+PT3PDDfbpmyE++7YDfJfLJcXHS7fc4ux7/nn7mj4AAIBM+ORv3SNHjtSIESPUpUsXzZgxQyFZNAddunSRZVmanPHIkaRJkyZJku67775cz4os7NghtW/vLARdqpQ9kKVwYbO5AH8WHm5PsP3/MxtkWVLnzlKGJWkAAADS+Nyi6hMmTFC/fv0UExOjUaNGXdDoRUdHq1mzZpLsoSn16tXTtm3b1KtXL91www365ptv9O677+qOO+7QZ599pnz58nklF4uq50BSklS/vrRli13nzy+tXCndeqvZXECg+PFH6bbbpNOn7bpyZfs6vhIlzOYCAAC5Lid9ic81e127dtXs2bOzvL1Ro0Zug1cOHTqkIUOGaMmSJTp06JDKly+vTp06aciQISpQoIDXctHsZVNKitSqlbR8ubNv+nTp0UfNZQIC0QcfSB07OnXjxtJnn9kfrgAAgIDl182er6LZy6Znn3WfGjhggDR2rLE4QEAbOlQaNcqpe/e2hyIBAICAlZO+xCev2YOfmjPHvdG7+27p1VfN5QEC3fDhUps2Tj1pkv0FAAAgmj14y/ffSz17OvVVV9kLQYeGmssEBLqQEOntt6Xrr3f29e9vXyMLAACCHs0eLt++fVLr1tLZs3YdFSUtXSoVLWoyFRAcihSxJ92WLGnXKSlSu3bSzp1mcwEAAONo9nB5Tp+2G70//7TrkBBp3jypenWjsYCgUqmSvSRD2nCWI0ekli3tybgAACBo0ezBc5ZlT9n84Qdn32uv2dfqAchbDRu6D2fZvFl6+GFnrUsAABB0aPbguZdesq/LS9Otmz19E4AZPXpI//qXUy9bJr3wgrk8AADAKJo9eGbJEmnwYKdu0MCeAuhymcsEQHr9dalpU6f+97+ld981lwcAABhDs4ec27hReughp65Qwb5eKDzcXCYAttBQ+7rZK6909nXvLq1day4TAAAwgmYPOXPokD344eRJuy5UyD7KFx1tNhcAR/Hi9imcaQutnj1rD1Lav99oLAAAkLdo9pB9587ZI90TEpx9s2dLN95oLBKALFx9tX1Nbcj//5g/cMBu+E6fNhoLAADkHZo9ZI9l2YMfvvrK2TdsmN38AfBN994rvfKKU69bZw9xsSxzmQAAQJ6h2UP2TJwoTZ7s1G3bSkOHmssDIHsGDpRiY5167lzp5ZfN5QEAAHmGZg+X9sUX0uOPO/UNN9inb4bw9gF8nsslxcdL9es7+55/3r6mDwAABDR+W8fF7dghtW/vLMxcqpQ9kKVwYbO5AGRfgQLSokVS+fJ2bVlS587Spk1mcwEAgFxFs4esJSXZkzePHrXr/PntXxgrVjSbC0DOlS5tf1BTsKBdnzhh//s+fNhsLgAAkGto9pC5lBT7k/8tW5x98fHSrbeaywTg8tx0kzRrllPv2mUPWTp/3lgkAACQe2j2kLnnn5eWL3fqAQOkRx81FgeAl3ToIA0Z4tSrVrlfkwsAAAIGzR4u9M477uPa775bevVVc3kAeNfw4VKbNk49aZJ95B4AAAQUmj24+/57ex2uNFddZS/MHBpqLhMA7woJkd5+W7r+emffwIHSkSPmMgEAAK+j2YNj716pdWvp7Fm7joqSli6VihY1mQpAbihSxP73HRlp16dPu1/PBwAA/B7NHmynT9uN3p9/2nVIiDRvnlS9utFYAHJRxYpSt25OPWmSlJpqLg8AAPAqmj3Ya249+qi0fr2z77XX7Gv1AAS23r2d7R07pC++MJcFAAB4Fc0epJdesq/LS9Otmz19E0Dgq15duuMOp540yVwWAADgVTR7wW7JEmnwYKdu0MD+Zc/lMpcJQN7KeHRvyRL7+l0AAOD3aPaC2caN0kMPOXWFCtLChVJ4uLlMAPJeq1ZSmTL2dmqqNHWq2TwAAMAraPaC1d9/Sy1bSidP2nWhQvYn+tHRZnMByHv580s9ezr11KnS+fPm8gAAAK+g2QtG585J7dpJCQnOvtmzpRtvNBYJgGE9e0r58tnbBw7YH/4AAAC/RrMXbCxL+te/pK+/dvYNG2Y3fwCCV/ny9tH+NBMnmssCAAC8gmYv2EycKE2e7NRt20pDh5rLA8B3ZBzUsnKl9Ntv5rIAAIDLRrMXTL74Qnr8cae+4Qb79M0Q3gYAJN15p1StmlPHx5vLAgAALhu/5QeLHTuk9u2llBS7LlXKviancGGzuQD4jpAQKS7OqWfNcoY4AQAAv0OzFwwSE+1rcY4etev8+aVFi6SKFc3mAuB7unaVChSwtxMTpfffNxoHAAB4jmYv0KWk2Gvpbdni7IuPl2691VwmAL6reHHpwQedeuJEe7ATAADwOzR7ge7556Xly516wADp0UeNxQHgB/r0cbZ//FFat85cFgAA4DGavUA2Z470yitO3ayZ9Oqr5vIA8A916kg33+zUkyaZywIAADxGsxeovv/eXiQ5zVVXSfPmSaGh5jIB8B8Zl2F4/33pyBFzWQAAgEdo9gLR3r1S69bS2bN2HRUlLV0qFStmNBYAP9Kpk/2zQ5LOnLEncwIAAL9CsxdoTp2yG70//7TrkBD7iF716kZjAfAzhQrZkznTTJokpaYaiwMAAHKOZi+QWJbUvbu0fr2z77XXpLvvNpcJgP/KeCrnjh3SF1+YywIAAHKMZi+QvPSS+5pYXbva0zcBwBPVq0t33OHUEyeaywIAAHKMZi9QLFkiDR7s1A0a2OvpuVzmMgHwfxmP7i1dal8TDAAA/ALNXiDYuNFeOD1NhQrSwoVSeLi5TAACQ6tWUpky9nZqqjR1qtk8AAAg22j2/N3ff0stW0onT9p1oUL2Ub7oaLO5AASG/Pndl3GZOlU6f95cHgAAkG00e/7s3DmpXTspIcHZN2uWdOONphIBCEQ9e0r58tnbBw7YHygBAACfR7PnryxL+te/pK+/dvYNHSq1b28uE4DAVL68fQZBGga1AADgF2j2/NXEidLkyU7dtq00bJi5PAACW58+zvbKldJvv5nLAgAAsoVmzx/973/S44879Q03SLNn2wuoA0BuuOMOqVo1p46PN5cFAABkC92BP7rhBunee+3tUqXs62cKFzabCUBgCwmR4uKcetYsZzAUAADwSTR7/igyUlq8WBo0yF5ioWJF04kABIOuXaUCBeztxETp/feNxgEAABdHs+ev8uWTXnxRuu0200kABIvixaUHH3TqiRPtYVEAAMAn0ewBALIv46CWH3+U1q0zlwUAAFwUzR4AIPvq1JFuvtmpJ00ylwUAAFwUzR4AIGd693a2339fOnLEXBYAAJAlmj0AQM506iRFRdnbZ87YkzkBAIDPodkDAORMoUL2ZM40kyZJqanG4gAAgMzR7AEAci7jqZw7dkhffGEuCwAAyBTNHgAg56pXl+64w6knTjSXBQAAZIpmDwDgmYzLMCxdKu3day4LAAC4AM0eAMAzLVtKZcrY26mp0tSpZvMAAAA3NHsAAM/kzy/17OnUU6dK58+bywMAANzQ7AEAPNezp5Qvn7194IC0ZInZPAAAIB3NHgDAc+XL26dzpmFQCwAAPoNmDwBweTIOalm5UvrtN3NZAABAOpo9AMDlueMOqVo1p46PN5cFAACko9kDAFyekBApLs6pZ82STp40FgcAANho9gAAl69rV6lAAXs7MVF6/32jcQAAAM0eAMAbiheXHnzQqSdOlCzLXB4AAECzBwDwkoyDWn78UVq3zlwWAABAswcA8JI6daSbb3ZqlmEAAMAon2v2tm3bpqFDh6p+/foqVaqUIiIiVKtWLY0ZM0Yn/3HB//Dhw+VyuTL9eu211wx9BwAQxHr3drbnzZOOHDGXBQCAIBdqOsA/zZgxQxMmTFDLli310EMPKX/+/Fq5cqVeeOEFffDBB1qzZo0KFizo9pixY8eqZMmSbvtuzvjpMgAgb3TqJD35pD2k5cwZezLnwIGmUwEAEJR8rtlr166dBg0apKioqPR9cXFxqlatmsaMGaPp06erX79+bo9p3bq1KlWqlMdJAQAXKFTInsz55pt2PWmSNGCAvTwDAADIUz73f9/atWu7NXppOnbsKEnatGlTpo9LSkpScnJyrmYDAGRDxlM5d+yQvvjCXBYAAIKYzzV7Wdm7d68kKTo6+oLbrr/+ekVFRalAgQJq0KCBPvnkk8t+vTJlyrh9VatW7bKfEwCCQvXq0h13OPXYsSzDAACAAX7R7KWkpGjUqFEKDQ1V586d0/cXLVpUvXr10rhx47RkyRK99NJL+uOPP9S8eXPNmjXLXGAACHYZl2H45BPp9dfNZQEAIEi5LMv3P27t37+/xo8frxdffFGDBg266H0PHz6sGjVq6MyZM9qzZ4+KFCnilQxJSUmKiopSYmKiIiMjvfKcABCwkpOl226Tvv/erl0u6aOPpPvuM5sLAAA/l5O+xOeP7A0ZMkTjx49Xr169LtnoSVKJEiUUFxenY8eO6dtvv82DhACAC4SGSgsXSmXL2rVl2ZM6t2wxmwsAgCDi083e8OHDNXr0aHXr1k3x8fHZflzaZM5Dhw7lUjIAwCWVLSstXiyFh9t1UpLUogVr7wEAkEd8ttkbPny4RowYodjYWE2bNk0ulyvbj92+fbukzIe5AADyUJ060owZTv3771KHDvZpngAAIFf5ZLM3cuRIjRgxQl26dNGMGTMUksn6TMnJyUpMTLxg/549ezRp0iSVKFFCDRo0yIu4AICL6dxZeu45p/7iCxZaBwAgD/jcouoTJkzQsGHDFBMTo6ZNm2ru3Llut0dHR6tZs2Y6ceKEKleurNatW+uaa65RsWLFtHXrVk2bNk0nTpzQe++9p4IFCxr6LgAAbsaMkTZvlpYts+tx46SaNaWePc3mAgAggPncNM6uXbtq9uzZWd7eqFEjrVq1SmfPnlXfvn31/fffa+/evTpx4oRKliypW2+9Vc8884zq1q3r1VxM4wSAy3T8uHTLLXbTJ9lDXL74Qrr9drO5AADwIznpS3yu2fNVNHsA4AU7d0p160qHD9t1yZLSunXS/w/WAgAAFxdQSy8AAAJIlSrSggX2UT1JOnRIatlSOnHCbC4AAAIQzR4AIG81biy99ZZTb9wodekipaYaiwQAQCCi2QMA5L3eve2vNIsXS8OGGYsDAEAgotkDAJjx5ptSkyZOPXq0NG+euTwAAAQYmj0AgBn580vz59vX8aXp2lVav95YJAAAAgnNHgDAnBIlpKVLpSJF7PrMGalVK+nPP83mAgAgANDsAQDMuu46ae5cyeWy6337pDZt7MYPAAB4jGYPAGBeixbSiy869Zo10mOPSSwFCwCAx2j2AAC+4dlnpYcecuq335Zef91cHgAA/BzNHgDAN7hc0tSpUp06zr5nnpE+/thcJgAA/BjNHgDAdxQsaK+5V6aMXVuW1KmTtGWL0VgAAPgjmj0AgG8pW9Zu+MLD7TopSWrZUjpyxGgsAAD8Dc0eAMD31K0rzZjh1Dt2SB07SsnJ5jIBAOBnaPYAAL6pc2fpueec+vPPpYEDzeUBAMDP0OwBAHzXmDH2sgxpxo2zh7gAAIBLotkDAPiukBDp3XfthdfT9O0r/e9/5jIBAOAnaPYAAL4tIkJaulQqXtyuz5+XHnhASkgwGgsAAF9HswcA8H1VqkgLFkihoXZ96JDUqpV04oTZXAAA+DCaPQCAf2jSRHrrLaf+5Rfp8cfN5QEAwMfR7AEA/Efv3vZXmrfflv7801weAAB8GM0eAMC/jB0rlSplbycnS9Ommc0DAICPotkDAPiX8HCpe3ennjJFSkkxlwcAAB9FswcA8D+PPSa5XPb2nj3S8uVm8wAA4INo9gAA/qdSJem++5x64kRjUQAA8FU0ewAA/9Snj7P93/9Kv/9uLgsAAD6IZg8A4J/uvts+wpcmPt5YFAAAfBHNHgDAP+XLZ1+7l2bmTOnMGXN5AADwMTR7AAD/9eijUliYvX34sDR/vtk8AAD4EJo9AID/uuIKqV07p2ZQCwAA6Wj2AAD+LeOgljVrpJ9+MpcFAAAfQrMHAPBvDRpINWs69aRJ5rIAAOBDQi/nwb/99pt2796tQ4cOqWDBgrriiitUs2ZNRUZGeisfAAAX53JJvXs7R/jefVd69VUpKspsLgAADMtxs/fll19q+vTp+vzzz3Xo0KELbg8JCdGNN96odu3a6dFHH1XJkiW9EhQAgCw9/LD0zDPSiRPSqVPSnDlSv36mUwEAYJTLsiwrO3dcuHChBg8erG3btsmyLJUrV0516tRR6dKlVbx4cZ0+fVqHDx/Wb7/9pg0bNujcuXMKDw/XI488opEjRyo6Ojq3v5dclZSUpKioKCUmJnLkEgB8UZ8+zimc11wjbd5sH/UDACCA5KQvyVazd/vtt+ubb75RjRo11KVLF3Xs2FExMTFZ3v/cuXNauXKl5syZo8WLFytfvnyaM2eOWrZsmfPvxkfQ7AGAj9u4Ubr+eqdetUpq1MhYHAAAckNO+pJsncZ56tQpffTRR7rvvvuyFSAsLEx333237r77bv3999/697//rW3btmXrsQAAeKRmTem226RvvrHrSZNo9gAAQS3bp3EGO47sAYAfmDtXeughezs0VNqzRypd2mwmAAC8KCd9CUsvAAACR9u2UqlS9nZysjR9utk8AAAY5FGzN3LkSL322ms6d+5clvf56quvNHLkSI+DAQCQY+HhUvfuTj15spSSYi4PAAAGedTsDR8+XM8++6zuvPNOHT58ONP7rFq1SiNGjLiscAAA5NhjjzlTOPfskZYvN5sHAABDPD6Ns3Llylq9erVuueUW7dixw5uZAADwXKVKUsaBYmnLMQAAEGQ8bvYeeeQRzZgxQ3/88YduueUWrV692pu5AADwXO/ezvann0q//24uCwAAhlzWgJauXbvq448/1vnz59W0aVO9//773soFAIDn7rnHPsKXZvJkY1EAADDlsqdx3nnnnfr2228VHR2thx56SC+++KI3cgEA4Ll8+exr99LMmCGdOWMuDwAABnhl6YVrr71W33//vW666SYNGTJE3bt31/nz573x1AAAeObRR6WwMHv78GFp/nyzeQAAyGNeW2cvOjpaX3/9tVq0aKGZM2dq7Nix3npqAABy7oorpHbtnJpBLQCAIOPVRdULFiyoRYsW6V//+pdOnz7tzacGACDnMg5q+e47acMGY1EAAMhrLsuyrNx44nXr1unUqVNq1KhRbjx9nktKSlJUVJQSExMVGRlpOg4AIDssS7rhBmnjRrvu1YthLQAAv5aTvsSrR/YyqlOnTsA0egAAP+VyuR/de+cdKTHRXB4AAPJQrjV7AAD4hIcflooUsbdPnZLmzDGbBwCAPBKa3TtWqVIlx0/ucrn0OwvZAgBMioiQunRxBrRMmiT17Wsf9QMAIIBl+5q9kJCcHwR0uVxKSUnJ8eN8EdfsAYAf27hRuv56p161SuJSAwCAH8pJX5LtI3u7du26YN/YsWM1btw47dy5M+cpAQDIKzVrSrfdJn3zjV1PmkSzBwAIeNlu9ipWrHjBvmLFimV5GwAAPqV3b6fZ+/BD6c8/pdKlzWYCACAXMaAFABAc2raVSpWyt5OTpenTzeYBACCX0ewBAIJDeLjUvbtTT54sBch15QAAZIZmDwAQPB57zJnCuWePtHy52TwAAOQimj0AQPCoVEm67z6nTluOAQCAAESzBwAILr17O9uffiqxHiwAIEBlexrn7bfffsG+3bt3Z3mbZK+z99VXX3kYDQCAXHDPPfYRvoQEu548WXrlFZOJAADIFSyqnk0sqg4AAeTf/5YGDbK3S5SQ9u6VChQwmwkAgGzIs0XVAQDwS48+Kg0dKp0/Lx0+LM2fL3XpYjoVAABedVmLqgMA4JeuuEJq316aO9euJ02i2QMABBwGtAAAglPGQS3ffSdt2GAsCgAAuSFbzd6ff/552S/0119/XfZzAADgNbfeKtWs6dQswwAACDDZavaqVKmiZ599VgcPHszxCyxfvlx16tTR5MmTc/xYAAByjcvlfnTv3XelxERzeQAA8LJsNXsDBw7U+PHjVb58ebVo0UJz5szR71msS3Ty5El99dVXGjx4sCpWrKiWLVvK5XKpdevW3swNAMDle/hhqUgRe/vkSWnOHLN5AADwomwvvbBnzx6NHDlS7733nk6fPi1JioyMVHR0tIoVK6YzZ87oyJEj2r9/v1JTU2VZlq6//no9/fTTeuihh3L1m8gLLL0AAAGqTx/nFM5rr5U2bbKP+gEA4INy0pdku9nL+ORz587V559/rtWrV7tdixcWFqaaNWuqcePGeuCBB3TLLbd49h34IJo9AAhQGzdK11/v1KtWSY0aGYsDAMDF5Gqz90/nz5/X4cOHVbBgQUVFRV3OU/k0mj0ACGANG0rffGNvd+wovf++2TwAAGQhJ33JZS+9kD9/fpUuXdprjd62bds0dOhQ1a9fX6VKlVJERIRq1aqlMWPG6OTJkxd97KRJk+RyueRyuXTo0CGv5AEABIGMg1oWLpS8MIUaAADTfG6dvRkzZmjs2LGqWrWqhg4dqldffVXVq1fXCy+8oAYNGqRfL/hP+/fv13PPPaciaRfaAwCQXW3bSqVK2dvnz0vTp5vNAwCAF/hcs9euXTvt3btX7777rvr376+4uDjNmzdPgwcP1i+//KLpWfwPuG/fvqpatSpTPwEAORceLnXv7tSTJ0spKebyAAB8Q2KidHlXvRnlc81e7dq1Mz0ltGPHjpKkTZs2XXDbokWLtHTpUsXHxytfvny5nhEAEIAee8yZwrlnj7R8udk8AADz2rWTbrzR/hDwxAnTaXLM55q9rOzdu1eSFB0d7bY/KSlJ/fr102OPPaa6det67fXKlCnj9lWtWjWvPTcAwAdVqiTdd59TP/OMdOyYqTQAANO2bZM+/1z6+WcpLk5avdp0ohzzi2YvJSVFo0aNUmhoqDp37ux227PPPqvU1FS99NJLhtIBAALGgAHO9tatUqdOnM4JAMEqPt7ZrlpVatbMXBYP+UWzN2DAAH333XcaOXKkqlevnr5/9erVmjx5st544w2vL/tw4MABt6/t27d79fkBAD6oaVPpySed+tNP7SN8AIDgcuqUNHOmU8fFSSF+0Tq58Sjx8ePHvZ0jS0OGDNH48ePVq1cvDRo0KH3/uXPn1KtXLzVt2lSdOnXKszwAgAD38svSvfc69RtvSLNmGYsDADBg3jznVP7wcKlbN6NxPOVRs1e2bFn16tVL69at83YeN8OHD9fo0aPVrVs3xWc8jCppwoQJ+u233zRw4EDt2LEj/SutEd21a5d27tyZq/kAAAEoXz7pvfekq6929j32mPTtt+YyAQDy1qRJznbHjlKJEuayXAaXZeV8lmjVqlW1a9cuuVwu1apVS4899pg6d+7s1TXuhg8frhEjRig2NlYzZsxQyD8Omw4YMEBvvvnmRZ+jcOHCOuGlqTk5WakeABAAtm+X6tWTjh616yuukNatk2JizOYCAOSuH36Q6tRx6jVr7P8f+Iic9CUeNXuStGLFCk2ZMkVLly5VcnKyChcurE6dOqlnz56qXbu2R8HTjBw5UsOGDVOXLl00a9asCxo9Sfr5558zvY5uwoQJWrVqlWbMmKFixYp5bd09mj0ACEKffy7dc48zpOXGG6X//U8qXNhsLgBA7uneXZoxw96+8UZp/XpnaR4fkCfNXpq///5bM2bM0LRp0/T777+nH+2Li4tT586dVTiH/0OcMGGC+vXrp5iYGI0aNeqCRi86OlrNLjIJp2vXrpo9e7b+/vtvlSxZ0qPvKTM0ewAQpN56S3r8cadu396+lsOH/scPAPCSo0elcuWk06ftesoUqWdPs5n+IU+bvYy++OILTZ06VYsXL9b58+dVuHBhde7cWX369NH111+fredIa9ay0qhRI61ateqSj6fZAwB4hWVJvXpJ06Y5+0aMkIYONZcJAJA7/vMf6Ykn7O3ISGn/fp87m8NYs5eQkKApU6Zo2rRpOnTokFwulyzLksvlUrt27TR58mQVLVrUWy+Xp2j2ACCInTtnL8vwv/85+xYskNq2NZcJAOBdlmUP59q2za7797fP7vAxOelLLnuxiJSUFC1cuFB33323rrzySv373/9WVFSUXn31VR08eFCfffaZmjZtqvnz56tPnz6X+3IAAOS9sDDpww+lihWdfY88Iv38s7lMAADv+vJLp9GTpN69zWXxEo+P7CUkJGjq1KmaOXOm/vrrL4WEhOj+++9X7969ddddd11w/wceeECrVq3SkSNHLju0CRzZAwDol1+kBg2kkyftOibGntB5xRVmcwEALl+7dvYHe5LUuLG0cqXROFnJ9SN7aUfxXnrpJUnS4MGDtWvXLi1atCjTRk+S6tSpo8TERE9eDgAA33D99dKcOU69e7d9Kue5c+YyAQAu37590uLFTh0AR/UkD5u9FStWqFGjRvrggw+0e/dujRw5UuXLl7/oY1q0aKEZaSNMAQDwV23aSCNHOvU330h9+tjXegAA/NO0ac4yO6VLS15avs20UE8etGXLFlWvXj1Hj6lRo4Zq1KjhycsBAOBbXnhB2rRJ+uADu54+XapZ032JBgCAfzh/3l5iIU2PHva12gHAoyN7OW30AAAIKC6XNHOmdNNNzr6BA6XPPjOXCQDgmWXL7CUWJCkkxF5uJ0B41OzNnz9fd9xxh/bt25fp7fv27dOdd96phQsXXlY4AAB8VqFC9vUd0dF2nZoqdezoPskNAOD7Jk1ytlu0kCpUMJfFyzxq9qZNm6ajR4+qXLlymd5erlw5HTt2TNMyLkALAECgqVBBWrTIOd3n2DGpZUv7vwAA37dtm/T5504dIINZ0njU7G3cuFF16tS56H3q1KmjX375xaNQAAD4jVtucb/WY+tWqVMn50J/AIDvio93tqtWlZo1M5clF3jU7B05ckRXXGJNoZIlS+rQoUMehQIAwK/ExkpPPunUn34qPfOMuTwAgEs7dUqaNcup4+Lsa/YCiEffTcmSJbVjx46L3mf79u0qWrSoJ08PAID/efll6Z57nPqNN9x/iQAA+JZ586SjR+3t8HCpWzezeXKBR83erbfeqqVLl2pbFhehb926VUuXLlXDhg0vKxwAAH4jXz7pvfekjBOrH3tM+vZbc5kAAFnLOJilY0epRAlzWXKJR83eU089pfPnz+u2227T+PHjtW3bNp08eVLbtm3TuHHjdNtttyk5OVlPPfWUt/MCAOC7iha1R3inndly7pz0wAPSnj0mUwEA/umHH6R165w6wAazpHFZlmV58sCpU6eqb9++SsnkAvR8+fJp4sSJ6tGjx2UH9BVJSUmKiopSYmKiIiMjTccBAPiyFSuke+91hrTceKP0v/9JhQubzQUAsHXvLs2YYW/feKO0fr29hqofyElf4nGzJ0lbtmzRxIkT9f333+vYsWMqWrSo6tevr969e+uaa67x9Gl9Es0eACBH3npLevxxp27f3r4+xE9+mQCAgHX0qFSunHT6tF1PmSL17Gk2Uw7kWbMXTGj2AAA5YllSr15SxjVnR4yQhg41lwkAIP3nP9ITT9jbkZHS/v1+deZFTvqSwJotCgCAr3C5pAkTpNtuc/YNGyZ9+KG5TAAQ7CzLfW292Fi/avRyKvRyHpySkqKtW7fq6NGjmV67J0m333775bwEAAD+KyzMbu7q1JF277b3PfKIPbGzRg2z2QAgGK1cKW3d6tRxceay5AGPm71Ro0Zp7NixSkxMvOj9smoCAQAICldcIS1dKt16q3TypL2I7/PP2/sAAHlr4kRnu3Fj6dprjUXJCx41e6+88oqGDRumqKgodenSRRUqVFBo6GUdJAQAIHDdcIP9C0ZsrF0vX24f6YuJMZsLAILJ/v3S4sVOHaDLLWTkUYc2depUlStXTj/++KNKlSrl7UwAAASezp3tI3r79kmpqfb0t9GjTacCgOAxdaqzJE7p0lLr1kbj5AWPBrTs2bNHrVu3ptEDACC7QkPt6Zxppk61F10HAOS+5GT7526aHj3s66oDnEfNXnR0tJKTk72dBQCAwNajh5Qvn7198KC0aJHZPAAQLJYts8+skKSQEPcP3wKYR81ehw4dtGLFCp09e9bbeQAACFxly0pt2jh1xkEBAIDck/HnbYsWUoUK5rLkIY+avREjRqhMmTJq166ddu3a5e1MAAAErowDAb7+Wtq82VwWAAgG27ZJn3/u1EEwmCWNRwNaatSoofPnz2v//v36+OOPFRUVpaJFi15wP5fLpd9///1yMwIAEDiaNLHX2Utb5yk+Xho3zmwmAAhkGRdRr1pVatbMXJY85tGRvdTUVIWGhiomJkYxMTGKioqSZVkXfKWmpno7LwAA/s3lcv9UefZs6cQJc3kAIJCdPi3NmuXUcXH2NXtBwmVZlmU6hD9ISkpSVFSUEhMTFRkZaToOAMCfHTtmX793+rRdT54cNMMCACBPzZoldetmb4eH20NaSpQwGuly5aQvCZ62FgAAX1G0qL3uXpqJEyU+ewUA78s4mKVjR79v9HLqspu9LVu2aNGiRZozZ4438gAAEBwynsr588/SmjXmsgBAIFq/Xlq3zqmDaDBLGo+bvR9//FE33XSTatSooXbt2qlr167pt3311VcqVKiQli5d6o2MAAAEnptvlurWdepJk8xlAYBAlPHn6o03SvXqmctiiEfN3m+//abGjRtrx44dGjBggO69916322+//XaVKFFCCxYs8EpIAAACUsZPmefNkw4dMpcFAALJ0aPS3LlO3bu3PSAryHjU7A0bNkypqalat26dXn/9ddWpU8ftdpfLpVtuuUXrMh42BQAA7jp2lIoVs7fPnZNmzjSbBwACxdtvO0OwIiPdr5MOIh41e6tWrdIDDzyg6tWrZ3mfmJgY7d+/3+NgAAAEvIIFnSlxkr0WFMsWAcDlsSz3UzhjY6XChc3lMcijZi8xMVFlypS56H3OnTun5ORkj0IBABA04uKc7Z07pc8+M5cFAALBypXS1q1OnfHnbJDxqNkrU6aMtmzZctH7/PLLL6pUqZInTw8AQPCoVk1q1sypGdQCAJcn48/Rxo2la681FsU0j5q9u+++W5988onWrl2b6e2fffaZvv76azVv3vyywgEAEBQyDmr56CNp925zWQDAn+3fLy1a5NRBuNxCRh41e4MHD1ZERITuuOMOPf/88/r1118lSfPnz9cTTzyhFi1aqFSpUnryySe9GhYAgIDUooVUrpy9nZoqTZliNg8A+Ktp06SUFHu7dGmpdWujcUxzWZZlefLAH374QR06dFBCQoLzZC6XLMtSpUqV9OGHH+rGG2/0Vk7jkpKSFBUVpcTEREVGRpqOAwAINCNHSsOG2dtXXCHt2SOFhZnNBAD+JDlZqlRJ2rfPrl94QRo1ymik3JCTvsTjZk+SkpOTtXz5cn333Xc6cuSIoqKiVK9ePbVq1Ur58+f39Gl9Es0eACBX7d8vxcQ4n0i//769NAMAIHsWLZIeeMDeDgmREhKkChWMRsoNedbsBROaPQBArmvfXlqwwN5u1EhatcpoHADwK3fdJa1YYW+3aiUtXmw0Tm7JSV/i0TV7AAAgF2QcJPDVV9LmzeayAIA/2b7dafSkoB/MkibUkweNHDkyW/dzuVwaMmSIJy8BAEDwadJEql7dWR8qPl4aN85sJgDwB/HxznbVqu5L2gQxj07jDAnJ+oCgy+WSJFmWJZfLpZS0aw/8HKdxAgDyxJtvSgMG2NsREfa1fEWKGI0EAD7t9Gl7ovHRo3b96qvSU0+ZzZSLctKXeHRkb+XKlZnuP3bsmNatW6e33npLzZs3V1wQr1YPAIBHYmOlQYPsX16OH5fmzpV69TKdCgB817x5TqMXHi5162Y2jw/JlQEtGzduVN26dfX++++rVatW3n56IziyBwDIMz16SNOn29u1akk//ij9/5kzAIB/qFdPWrvW3n7kEWn2bLN5cpnxAS01a9ZUq1at9OKLL+bG0wMAENgyDhbYsEFas8ZYFADwaevXO42exGCWf8i1aZwxMTHatGlTbj09AACB6+abpbp1nXrSJHNZAMCXZfz5WKuWfZQP6XKt2fv+++9VsGDB3Hp6AAACW8ZPp+fNkw4dMpcFAHzR0aP2dc1p+vThlPd/8GhAy+7duzPdn5ycrD179mjq1Kn65ptv1KFDh8sKBwBA0OrYURo40P5l5tw5aeZM6emnTacCAN/x9tv2MCtJioyUOnc2m8cHedTsVapUKX2JhcxYlqVq1arptdde8zgYAABBrWBBe6LcG2/YdXy89OST0kWWPwKAoGFZ7qdwxsZKhQuby+OjPGr2HnnkkUybvZCQEBUrVkx169ZVq1atFB4eftkBAQAIWnFxTrO3c6f02WfSPfeYzQQAvmDlSmnrVqdmybdMedTszZo1y8sxAADABapVk5o1k1assOtJk2j2AEByP6rXuLF07bXGovgyzgUBAMCXZRzU8tFHUhbXzQNA0Ni/X1q0yKlZbiFLNHsAAPiyFi2kcuXs7dRUacoUs3kAwLRp06SUFHs7Olpq3dpoHF/m0WmcVapU8ejFXC6Xfv/9d48eCwBAUAoNlXr1koYNs+upU6WhQ6WwMLO5AMCE5GT3D7169uTn4UV4dGQvNTVVZ8+eVUJCghISErRnzx6dPn1ae/bsSd939uxZWZbl9pWamurt/AAABL4ePaR8+eztgwfdT18CgGCybJm0b5+9HRJifxiGLHnU7P3yyy8qV66c6tevr5UrV+rMmTM6cOCAzpw5oy+//FL16tVT+fLl9csvv2jXrl1uXwAAIIfKlpXatHHqjIMJACCYZPz516KFVKGCuSx+wKNmb/DgwTp27JhWrVqlRo0aKd//f9qYL18+NW7cWCtXrtSRI0c0ePBgr4YFACBoZRxA8NVX0ubN5rIAgAnbtzvTiSUGs2SDR83eokWL1KpVK4VlcX5sgQIF1KpVKy1cuPCywgEAgP/XpIlUvbpTx8ebywIAJmT8uVe1qr00DS7Ko2bv8OHDOn/+/EXvc/78eR0+fNijUAAA4B9cLvdPsWfPlk6cMJcHAPLS6dPSzJlOHRdnX7OHi/LoT6hq1apasGCBEhMTM7396NGjWrBggcdTOwEAQCZiY6WCBe3t48eluXPN5gGAvDJvnnT0qL0dHi5162Y2j5/wqNmLi4vT/v37VbduXb399ttKSEjQ6dOnlZCQoNmzZ6tevXr6888/1bdvX2/nBQAgeBUtKnXu7NSTJkmWZSwOAOSZjINZOnaUSpQwl8WPuCzLs/9LPP744xo3bpxcLtcFt1mWpf79++vNN9+87IC+IikpSVFRUUpMTFRkZKTpOACAYLV+vVS7tlN/+610yy3m8gBAbvvnz73vvpPq1zeXx7Cc9CUeLaouSW+++aYefPBBzZgxQz/99JMSExMVFRWlm266SV27dlWDBg08fWoAAJCVm2+W6taV1q6160mTaPYABLaMR/Vq1ZLq1TMWxd94fGQv2HBkDwDgM2bNcq5XCQuzFxguWdJoJADIFUePSuXK2QNaJGnKFKlnT7OZDMtJX8IIGwAA/E3HjlKxYvb2uXPuE+oAIJC8/bbT6EVGul+3jEvyuNlLSUnRm2++qXr16ikqKkqhoc4ZoRs2bFCfPn20bds2r4QEAAAZFCzoPokuPl5KTTWXBwByg2W5n8IZGysVLmwujx/yqNk7c+aM7rzzTg0cOFC7du1SRESEMp4NWrlyZc2cOVNz5szxWlAAAJBBXJyzvXOn9Nln5rIAQG5YuVLautWpM/7cQ7Z41Oy9/PLL+vrrrzVq1Cj9+eef6tGjh9vtUVFRatSokf773//m+Lm3bdumoUOHqn79+ipVqpQiIiJUq1YtjRkzRidPnnS77+uvv67GjRurTJkyCg8PV5kyZdSkSRMtWrTIk28LAAD/Ua2a1KyZU2f89BsAAkHGn2uNGknXXmsui5/yqNl77733dPvtt+v5559XSEhIpssvVK5cWXv27Mnxc8+YMUNjx45V1apVNXToUL366quqXr26XnjhBTVo0ECn087ZlbR27VpVqlRJTzzxhCZNmqQnn3xSp06d0gMPPKBRo0Z58q0BAOA/evd2tj/6SNq921wWAPCm/fuljAdw+vQxl8WPebT0QkJCglq2bHnR+0RFRelo2ir3OdCuXTsNGjRIUVFR6fvi4uJUrVo1jRkzRtOnT1e/fv0kSfPmzbvg8QMGDNDNN9+sV155Rc8//7zy5cuX4wwAAPiFFi3sKXX79tnX7E2ZIo0ebToVAFy+adOklBR7Ozpaat3aaBx/5dGRvcKFC+vw4cMXvU9CQoKKFy+e4+euXbu2W6OXpmPHjpKkTZs2XfTxoaGhKleunE6ePKnz58/n+PUBAPAboaFSr15OPW2aPZ0TAPxZcrL94VWanj3tZWaQYx4d2atdu7Y+/vhjnTx5UoUzmYhz8OBBffzxx7rrrrsuO2CavXv3SpKio6MvuO3IkSNKSUnRoUOHNH/+fH366adq0qSJChQo4PHrlSlTxq1OZcoZAMAX9eghjRxpfwL+11/2aU///wEpAPilZcvsMxYkKSTE/UMt5IhHR/b+9a9/6a+//lKLFi0uWF7h559/VosWLXTy5En179/fKyFTUlI0atQohYaGqnMma2tcddVVuuKKK3Tttddq1KhRatu2rd5//32vvDYAAD6tbFmpTRunZlALAH+X8efY/fdLFSqYy+LnPDqy17x5c73wwgsaPXq0rrnmGoX9/2HVIkWK6PTp07IsSyNHjlSjRo28EnLAgAH67rvv9OKLL6p69eoX3L5w4UKdOXNG+/bt0/z583X69GkdP35cpUqV8vg1Dxw44FanrVQPAIDP6d1bWrDA3v7qK2nzZum668xmAgBPbN8urVjh1AxmuSwuK+MCeTn0+eefa/z48VqzZo2OHDmiqKgo1atXT48//riaZRwHfRmGDBmi0aNHq1evXpo8eXK2HtOpUyetWrVKv/76q4oVK+aVHGnNXmJioiIjI73ynAAAeIVlSddc46xH1a+fNG6c2UwA4Iknn5TeeMPerlpV2rbNPpUT6XLSl3j0J7d79279+eefatq0qRYvXqw///xT586d099//62PPvrIa43e8OHDNXr0aHXr1k3x8fHZflxsbKz+/PNPLVy40Cs5AADwaS6X+zIMs2dLJ06YywMAnjh9Wpo506nj4mj0LpNHf3qVK1fW888/7+0sboYPH64RI0YoNjZW06ZNy3Qtv6ykrcV35MiR3IoHAIBviY2VCha0t48fl+bONZsHAHJq3jwpbem28HCpWzezeQKAR81e0aJFVbJkSW9nSTdy5EiNGDFCXbp00YwZMxSSSUd/8uRJncjkU8uUlBRNmDBBklS/fv1cywgAgE8pWlTKOMRs0iT79E4A8BcZB7N06CCVKGEuS4DwaEBL/fr19dNPP3k7iyRpwoQJGjZsmGJiYtS0aVPN/ccnk9HR0WrWrJm2b9+uRo0aqV27dqpevbqKFy+uffv26b333tPWrVsVGxurhg0b5kpGAAB8Uu/e0vTp9vaGDdKaNdIttxiNBADZsn69tHatUzOYxSs8avaGDx+uhg0batq0aerRo4dXA61bt06SfV1gbGzsBbc3atRIzZo1U/ny5dWlSxf973//06JFi3T8+HFFRUXpxhtv1JAhQzJdogEAgIB2881S3brOL0yTJtHsAfAPGY/q1aol1atnLEog8Wga58iRI/Xtt99qxYoVqlWrlurWravSpUtfcF2dy+XSkCFDvBbWJKZxAgD8wqxZznUuYWH2wsS5eOkFAFy2o0elcuXsAS2SNGWK1LOn2Uw+LCd9iUfNXmbX0GX65C6XUlJScvr0PolmDwDgF06ftn9pShty8Mor0tNPm80EABfz5pvSgAH2dmSktH+/VLiw0Ui+LCd9iUenca5cudKjYAAAIJcVLGgf2Utbpyo+3l63ivHlAHyRZbmfwvnIIzR6XpTtI3tLly7V1Vdfrauuuiq3M/kkjuwBAPzG9u1Sxv9ff/KJdM895vIAQFa+/FK6806n3rxZuvZac3n8QK4sqt6mTRu9//77bvvmzZunBx54wLOUAAAgd1SrJjVr5tQZPzUHAF+S8edTo0Y0el6W7WYvswOAv/32m5YsWeLVQAAAwAt693a2P/pI2r3bXBYAyMz+/dKiRU6d8ecWvIIT+AEACEQtWtiDWiQpNdWebgcAvmTaNCltmGN0tNSmjdk8AYhmDwCAQBQaKvXq5dTTpknnzpnLAwAZJSe7fwjVo4e9XAy8imYPAIBA1aOHlC+fvf3XX+6nSwGAScuW2euASva04IwfTsFrctTs/XPRdAAA4MPKlnU/LYpBLQB8RcafR/ffL8XEmMsSwLK99EJISIgiIyPdxnsmJSXp+PHjKpd2TcA/n9zl0h9//OGdpIax9AIAwC/9c6z5pk3SddeZywMALA9zWXJtUfWkpCQlJSVdsH/v3r05SwgAAPJGkyZS9erS1q12HR8vjRtnNhOA4BYf72xXqSLddZe5LAEu26dxpqamevQFAAAMcrncx5nPni2dOGEuD4Dgdvq0NHOmU8fF2dfsIVfwJwsAQKCLjZUKFrS3jx+X5s41mwdA8Jo3Tzp61N4OD5e6dTObJ8DR7AEAEOiKFpU6d3bqSZOk7F2yDwDelXEwS4cOUsmS5rIEAZo9AACCQcZTOTdskNasMRYFQJBav15au9apM/5cQq6g2QMAIBjcfLNUt65TswwDgLyW8edOrVpS/frGogQLmj0AAIJFxk/R582TDh0ylwVAcDl61P164d697QFSyFU0ewAABIuOHaVixeztc+fcJ+IBQG56+217EqckRUa6X0eMXEOzBwBAsChY0H3yXXy8xDJJAHKbZbmfwvnII1KRIubyBBGaPQAAgklcnLO9c6f02WfmsgAIDitXSlu3OnXGn0PIVTR7AAAEk2rVpGbNnJpBLQByW8afM40aSdddZy5LkKHZAwAg2GQc1PLRR9Lu3eayAAhs+/dLixY5Ncst5CmaPQAAgk2LFlK5cvZ2aqo0ZYrZPAAC17RpUkqKvR0dLbVpYzZPkKHZAwAg2ISGSr16OfXUqfZ0TgDwpuRk9w+TevSQwsLM5QlCNHsAAASjHj3spk+SDh50P80KALxh2TJp3z57OyTE/UMm5AmaPQAAglHZslLr1k7NoBYA3pbx58r990sxMeayBCmaPQAAglXGQQlffSVt3mwuC4DAsn27tGKFUzOYxQiaPQAAglWTJlL16k4dH28uC4DAkvHnSZUq0l13mcsSxGj2AAAIVi6X+6fts2dLJ06YywMgMJw+Lc2c6dRxcfY1e8hz/KkDABDMYmOlggXt7ePHpblzzeYB4P/mzZOOHrW3w8Olbt3M5gliNHsAAASzokWlzp2detIkybKMxQEQADIOZunQQSpZ0lyWIEezBwBAsMt4KueGDdKaNcaiAPBz69dLa9c6NYNZjKLZAwAg2N18s1S3rlOzDAMAT2X8+VGrllS/vrEooNkDAACS+6fv8+ZJhw6ZywLAPx096n7db+/e9iAoGEOzBwAApI4dpWLF7O1z59wn6QFAdrz9tj2JU5IiI92vB4YRNHsAAMCeyJlxYl58vJSaai4PAP9iWe6ncD7yiFSkiLk8kESzBwAA0sTFOds7d0qffWYuCwD/snKltHWrU2f8eQJjaPYAAICtWjWpWTOnZlALgOzK+POiUSPpuuvMZUE6mj0AAODIOKjlo4+k3bvNZQHgH/bvlxYtcmqWW/AZNHsAAMDRooVUrpy9nZoqTZliNg8A3zdtmpSSYm9HR0tt2pjNg3Q0ewAAwBEaKvXq5dRTp9rTOQEgM8nJ7h8K9eghhYWZywM3NHsAAMBdjx520ydJBw+6n54FABktWybt22dvh4S4f1gE42j2AACAu7JlpdatnZpBLQCykvHnw/33SzEx5rLgAjR7AADgQhkHLHz1lbR5s7ksAHzT9u3SihVOzWAWn0OzBwAALtSkiVS9ulPHx5vLAsA3Zfy5UKWKdNdd5rIgUzR7AADgQi6X+6f0s2dLJ06YywPAt5w+Lc2c6dRxcfY1e/Ap/I0AAIDMxcZKBQva28ePS889ZzYPAN8xb5509Ki9HR4udetmNg8yRbMHAAAyV7So+y9wEyaw7h4AW8bBLB06SCVLmsuCLNHsAQCArP3731KNGk7dt689sAVA8Fq/Xlq71qkZzOKzaPYAAEDWIiKkpUulEiXsOjlZattW2rXLbC4A5mQ8qlerllS/vrEouDiaPQAAcHGVK0sffugstH74sNSypX0dH4DgcuyYNHeuU/fubQ90gk+i2QMAAJfWqJE0frxTb9okdekipaaaywQg782ebU/ilKTISKlzZ7N5cFE0ewAAIHsee8y+Zi/NkiXS0KHm8gDIW5blfgrnI49IRYqYy4NLotkDAADZN3asdMcdTj1mjPT+++byAMg7K1dKW7c6NYNZfB7NHgAAyL78+aUPPpCqVnX2desm/fCDuUwA8kbGo3qNGknXXmsuC7KFZg8AAORMiRL2hM6ICLs+c0Zq3Vo6cMBoLAC5aP9+afFip+aonl+g2QMAADl37bXSe+85U/j27bMbvjNnjMYCkEumTbOXXpGk6GipTRuzeZAtNHsAAMAzzZvbi66nWbtW6tXLHuIAIHAkJ0tTpjh1jx5SWJi5PMg2mj0AAOC5p5+WHn7YqefMkV57zVweAN63bJl99F6SQkLsD3XgF2j2AACA51wuaepUqW5dZ9+zz0rLl5vLBMC7Mg5muf9+KSbGXBbkCM0eAAC4PAUK2IMbypa1a8uSOnWSfv3VaCwAXrB9u7RihVMzmMWv0OwBAIDLV6aM3fAVKGDXx49LLVtKhw8bjQXgMsXHO9tVqkh33WUuC3KMZg8AAHhHnTrS9OlO/fvvUocO0vnz5jIB8Nzp09LMmU4dF2dfswe/wd8WAADwns6dpUGDnPrLL6WBA83lAeC5efOko0ft7fBwqVs3s3mQYzR7AADAu0aPtk/hTDN+vPvYdgD+IeNglg4dpJIlzWWBR2j2AACAd4WESO+8I113nbOvb1/pq6/MZQKQM+vX22tnpmEwi1+i2QMAAN4XESEtXSqVKGHXyclS27bSrl1mcwHInoxH9WrVkurXNxYFnqPZAwAAuaNKFWnBAik01K4PH7ZP7zx+3GwuABd37Jg0d65T9+5tr6kJv0OzBwAAck/jxtK4cU69aZPUpYuUmmosEoBLmD3bnsQpSZGR9uAl+CWaPQAAkLvi4qQ+fZx6yRJp6FBzeQBkzbLcT+F85BGpSBFzeXBZfK7Z27Ztm4YOHar69eurVKlSioiIUK1atTRmzBidPHky/X6WZemdd97Rgw8+qCuvvFKFChVSTEyMWrZsqe+//97gdwAAAC7wn/9ITZo49Zgx0vvvG4sDIAsrV0pbtzo1g1n8msuyLMt0iIyee+45TZgwQS1btlT9+vWVP39+rVy5Uh988IGuv/56rVmzRgULFtSZM2dUsGBB1apVS82bN1flypV14MABxcfHa//+/Xr77bf18MMPey1XUlKSoqKilJiYqMjISK89LwAAQePwYaluXWnnTrsuUED63/+k2rXN5gLgaN/evtZWkho1klatMhoHF8pJX+Jzzd4PP/ygatWqKSoqym3/Cy+8oDFjxmjcuHHq16+fkpOTtXr1ajVq1Mjtfn/99Zeuu+465cuXTwcOHFBIiHcOXtLsAQDgBZs3S7fc4gxpKVdOWrdOKlPGbC4A0v79UsWK9vRcyT763rGj2Uy4QE76Ep87jbN27doXNHqS1PH/32ibNm2SJIWGhl7Q6ElSdHS0GjVqpIMHD+rgwYO5GxYAAOTMddfZU/7SJvvt2ye1aSOdOWM2FwBp2jSn0YuOtv9twq/5XLOXlb1790qym7ns3DcsLExFixb1+PXKlCnj9lWtWjWPnwsAAGRw//3SSy859fffS7162YMhAJiRnCxNmeLUPXpIYWHm8sAr/KLZS0lJ0ahRoxQaGqrOlxj9+vHHH2vt2rXq2LGjChQokEcJAQBAjjzzjPTQQ049Z4702mvm8gDBbtky+0i7JIWE2B/AwO+Fmg6QHQMGDNB3332nF198UdWrV8/yftu3b1eXLl1Urlw5vf7665f1mgcOHHCr086NBQAAXuBySVOnStu22dfsSdKzz0rXXis1b242GxCMMi63cP/9UkyMuSzwGp8/sjdkyBCNHz9evXr10qBBg7K8365du3TnnXfK5XLpk08+UalSpfIwJQAAyLGCBaXFi6WyZe3asqROnaRffzUaCwg627dLK1Y4NcstBAyfbvaGDx+u0aNHq1u3boqPj8/yfgkJCWrSpIlOnDihFStWqGbNmnmYEgAAeKxsWbvhS7v04vhxqWVLe5kGAHkj4+/ZVapId91lLgu8ymebveHDh2vEiBGKjY3VtGnT5Eqb2vUPCQkJaty4sRITE7VixQrdeOONeZwUAABcljp1pOnTnfr336UOHaTz581lAoLF6dPSzJlOHRdnX7OHgOCTf5MjR47UiBEj1KVLF82YMSPLtfL++OMPNWnSRMeOHdNnn32mm2++OY+TAgAAr+jcWcp4ucaXX0oDB5rLAwSLefOko0ft7fBwqVs3s3ngVT63qPqECRPUr18/xcTEaNSoURc0etHR0WrWrJmOHz+uG264Qbt27VL//v1Vt27dC56rWbNm2VqqITtYVB0AgFyWmiq1bm1PBUwzeTJTAYHcVK+etHatvd2li/T222bz4JJy0pf4XLPXtWtXzZ49O8vbGzVqpFWrVikhIUGVK1e+6HOtXLlSjRs39koumj0AAPLA8ePSLbdImzfbdWio9PnnUqNGZnMBgWj9eql2baf+9lv73x98ml83e76KZg8AgDyyc6dUt64zpKVECXt5hkt8yAsgh3r0cK6XrVVL+vFHe1kU+LSc9CU+ec0eAAAIYlWqSAsW2Ef1JLvpa9nSPuoHwDuOHZPmznXq3r1p9AIQzR4AAPA9jRtL48Y59aZN9vVEqanGIgEBZfZsexKnJEVG2kOSEHBo9gAAgG+Ki5P69HHqJUukoUPN5QEChWVJkyY59SOPSEWKmMuDXEOzBwAAfNd//iM1aeLUY8ZI779vLA4QEFaulLZudeq4OHNZkKto9gAAgO/Kn1+aP9++ji9Nt27SDz+YywT4u4xH9Ro1kq67zlwW5CqaPQAA4NtKlJCWLpUiIuz6zBl7Pb4DB4zGAvzS/v3S4sVO3bu3sSjIfTR7AADA9113nT05MG1a4L59Ups2duMHIPumTZOSk+3t6Gj73xECFs0eAADwD/ffL730klN//73Uq5c9bALApSUnS1OmOHWPHlJYmLk8yHU0ewAAwH8884z08MNOPWeO9Npr5vIA/mTZMvuouCSFhNgfliCg0ewBAAD/4XJJU6dKdes6+559Vlq+3FwmwF9kHMxy//1STIy5LMgTNHsAAMC/FCggLVoklS1r15YldeokbdliNhfgy7Zvl1ascGoGswQFmj0AAOB/ypa1JwoWKGDXx49LLVpIR44YjQX4rPh4Z7tKFemuu8xlQZ6h2QMAAP6pTh1p+nSn/v13qUMH6fx5c5kAX3T6tDRzplPHxdnX7CHg8bcMAAD8V+fO0qBBTv3FF9LAgebyAL5o3jzp6FF7Ozxc6tbNbB7kGZo9AADg30aPllq2dOrx493HywPBLuNglg4dpJIlzWVBnqLZAwAA/i0kRHrnHalGDWdf377S11+bywT4ivXrpbVrnZrBLEGFZg8AAPi/iAhp6VKpRAm7Tk6W2raVEhKMxgKMy3hUr1YtqX59Y1GQ92j2AABAYKhcWVqwQAoNtetDh6RWraRz58zmAkw5dkyaO9epe/e216pE0KDZAwAAgaNxY2ncOKf+5Re7AQSC0ezZ9iROSYqMtAcaIajQ7AEAgMASFyc98IBTZzyNDQgWluX+3n/kEalIEXN5YATNHgAACDyPP+5sf/ONtHGjuSyACStXSlu3OnVcnLksMIZmDwAABJ6GDaXrrnNqju4h2GR8zzdq5P7vAUGDZg8AAAQel8t9xPycOdLx4+byAHlp/35p8WKnZrmFoEWzBwAAAlOXLlLhwvb2iRP2WnxAMJg2zV5+RJKio6U2bczmgTE0ewAAIDBFRkoPP+zUkybZQyuAQJacLE2Z4tQ9ekhhYebywCiaPQAAELgynr62caO0erW5LEBeWLZM2rfP3g4JkXr1MpsHRtHsAQCAwHXDDVKDBk7NoBYEuozv8fvvl2JizGWBcTR7AAAgsGU8ujd/vnTwoLksQG7avl1ascKpGcwS9Gj2AABAYGvXTipRwt4+f16aMcNsHiC3xMc721WqSHfdZS4LfALNHgAACGwFCkjduzv15MlSSoq5PEBuOH1amjnTqePi7Gv2ENR4BwAAgMD32GP22nuSlJAgffqp0TiA182bJx09am+Hh0vdupnNA59AswcAAAJflSrS3Xc7NYNaEGgyvqc7dJBKljSXBT6DZg8AAASHPn2c7Y8/lnbtMpcF8Kb166W1a52awSz4fzR7AAAgONx3nzOG3rLcF54G/FnGo3q1akn16xuLAt9CswcAAIJDvnz2tXtppk+Xzp41lwfwhmPHpLlznbp3b+f6VAQ9mj0AABA8uneX8ue3t//+W/rwQ7N5gMs1e7Y9iVOSIiKkzp3N5oFPodkDAADBIzpaeuABp2ZQC/yZZbm/h2NjpSJFzOWBz6HZAwAAwSXjoJZvvpE2bjSXBbgcK1dKW7c6dVycuSzwSTR7AAAguDRsKF13nVNzdA/+KuN7t1Ej9/c1IJo9AAAQbFwu99H0c+ZIx4+bywN4Yv9+adEip2a5BWSCZg8AAASfLl2kwoXt7RMnpHfeMZsHyKlp06SUFHs7Olpq08ZsHvgkmj0AABB8IiOlhx5y6kmT7GEXgD9ITnZfJ7JHDykszFwe+CyaPQAAEJwynva2caO0erW5LEBOLFsm7dtnb4eESL16mc0Dn0WzBwAAglOtWtIttzg1g1rgLzK+V++/X4qJMZcFPo1mDwAABK+MyzDMny8dPGguC5Ad27dLK1Y4NYNZcBE0ewAAIHi1ayeVKGFvnz8vzZhhNg9wKa+84mxXqSLddZe5LPB5NHsAACB4FSggPfqoU0+e7Ew4BHzNjBn2FM40cXH2NXtAFnh3AACA4PbYY/bae5KUkCB9+qnROECmVq+2m7s011zDKZy4JJo9AAAQ3KpWle6+26kZ1AJfs3u39MAD9qnGklSsmLR0qVSkiNlc8Hk0ewAAABkHtXz8sbRrl7ksQEYnT0otWzrDg/Lls4cJXXml2VzwCzR7AAAA993njK+3LPcFqwFTUlOl2Fjp55+dff/5j3TnncYiwb/Q7AEAAOTL574w9fTp0tmz5vIAkjRqlPThh07dq5fUt6+5PPA7NHsAAACS1L27lD+/vf333+6/ZAN57cMPpeHDnfr226Vx45xhQkA20OwBAABIUunS9hCMNAxqgSkbNkiPPOLUlSpJCxZIYWGmEsFP0ewBAACkyTio5ZtvpI0bzWVBcPrrL3sgy6lTdl24sLRkiVSqlNlc8Es0ewAAAGkaNpSuu86pObqHvHT2rH10ec8eZ98770jXX28uE/wazR4AAEAal8t94eo5c6Tjx83lQfCwLHuR9G+/dfaNHi21bm0sEvwfzR4AAEBGXbrYp85J0okT9pEVILe9+aY0c6ZTP/ig9Pzz5vIgINDsAQAAZBQVJT30kFNPmmQfdQFyy3//Kz35pFPffLO9/AeTN3GZaPYAAAD+qXdvZ3vjRmn1anNZENi2bpU6drQXUJfsqbCLF0uFChmNhcBAswcAAPBPtWpJt9zi1AxqQW44etSevJmYaNfh4dKiRVL58mZzIWDQ7AEAAGQm49G9+fOlgwfNZUHgSU6WOnWStm1z9k2dKtWvby4TAg7NHgAAQGbat5dKlLC3z5+XZswwmweB5Zln7Gv10jz9tD0cCPAimj0AAIDMFCggPfqoU0+eLKWkmMuDwDFjhjR2rFM3by699JK5PAhYNHsAAABZeewxZyJiQoL06adG4yAArF7tvpbjNddIc+dK+fKZy4SARbMHAACQlapVpbvvdmoGteBy7N4tPfCAfVqwJBUrJi1dKkVGms2FgEWzBwAAcDEZB7V8/LG0a5e5LPBfJ0/akzfTBv3ky2cP/rnySrO5ENBo9gAAAC6meXMpJsbetixpyhSzeeB/UlOl2Fjp55+dff/5j3TnncYiITjQ7AEAAFxMvnxSr15OPX26dPasuTzwP6NGSR9+6NS9ekl9+5rLg6Dhc83etm3bNHToUNWvX1+lSpVSRESEatWqpTFjxujkyZNu9127dq3+9a9/6dZbb1WRIkXkcrk0a9YsM8EBAEDg6t5dyp/f3v77b/df3IGL+fBDafhwp779dmncOGfwD5CLfK7ZmzFjhsaOHauqVatq6NChevXVV1W9enW98MILatCggU6fPp1+348//lgTJkzQsWPHdMMNNxhMDQAAAlrp0vZgjTQMakF2bNggPfKIU1eqJC1YIIWFmUqEIONzzV67du20d+9evfvuu+rfv7/i4uI0b948DR48WL/88oumT5+eft/evXsrKSlJmzdv1hNPPGEwNQAACHgZB7V88420caO5LPB9f/1lD2Q5dcquCxeWliyRSpUymwtBJdR0gH+qXbt2pvs7duyoMWPGaNOmTen7oqOj8yoWAAAIdrffLl17rfTrr3Y9cKDUtKn3X6dAAaldO6lcOe8/N/LG2bP2keA9e5x977wjXX+9uUwISj7X7GVl7969kvKuwStTpoxbnZqamievCwAAfJTLZR/d69/frj//3P7KDa+9Jq1bZ58+Cv9iWVKfPtK33zr7Ro+WWrc2FgnBy+dO48xMSkqKRo0apdDQUHXu3Nl0HAAAEKy6dJGionL/dfbuldq0kc6cyf3Xgne9+aY0Y4ZTP/ig9Pzz5vIgqPnFkb0BAwbou+++04svvqjq1avnyWseOHDArU5KSlJUXvxwBwAAvisqSlq2TJo40V4k29sSE6Wvv7a316yRHntMmjWLyY3+4r//lZ580qlvvtleqoO/Pxji883ekCFDNH78ePXq1UuDBg0yHQcAAAS7hg3tr9xgWfbRw3ffteu335Zq1pSeeip3Xg/es3Wr1LGjvYC6ZJ+Cu3ixVKiQ0VgIbj59Gufw4cM1evRodevWTfHx8abjAAAA5C6XS5o6VapTx9n3zDPSxx+by4RLO3bMnryZmGjX4eHSokVS+fJGYwE+2+wNHz5cI0aMUGxsrKZNmyYXh78BAEAwKFjQbhTShsVZltSpk7Rli9lcyFxysn1d3rZtzr6pU6X69c1lAv6fTzZ7I0eO1IgRI9SlSxfNmDFDISE+GRMAACB3lCtnnwIYHm7XSUn2kaMjR4zGQiaeeca+Vi/N00/bp+ICPsDnrtmbMGGChg0bppiYGDVt2lRz5851uz06OlrNmjWTJP3xxx+aM2eOJGnz5s2SpGXLlqUv09ClSxdVrFgxD9MDAAB4Sd269lTHhx6y6x077GvCPvlECvW5X+GC04wZ0tixTt28ufTSS+byAP/gsizLMh0io65du2r27NlZ3t6oUSOtWrVKkrRq1So1adIky/uuXLlSjRs39kqutGmciYmJioyM9MpzAgAAXNKgQdK//+3U/ftLb71lLg9sq1dLTZpI58/b9TXX2BNU+T0RuSwnfYnPNXu+imYPAAAYkZpqL8i9bJmzb8oUqWdPY5GC3u7d9hCdgwftulgxae1a6corzeZCUMhJX8LFcAAAAL4sJMReiuG665x9ffo46/Ehb508KbVq5TR6+fJJ8+fT6MEn0ewBAAD4uogIaelSqXhxu05Oltq2lRISjMYKOqmpUteu0oYNzr7//Ee6805DgYCLo9kDAADwB1WqSAsWOMNZDh2yjzCdOGE2VzAZNcr+O0jTq5fUt6+5PMAl0OwBAAD4iyZN3Iez/PKLPeY/NdVcpmDx4YfS8OFOffvt0rhxEmtBw4fR7AEAAPiT3r3trzSLF0vDhhmLExQ2bJAeecSpK1Wyj/CFhZlKBGQLzR4AAIC/efNN+yhfmtGjpXnzzOUJZAcP2qfLnjpl14ULS0uWSKVKmc0FZAPNHgAAgL/Jn9+eAFmlirOva1dp/XpjkQLS2bPSAw/YSy2keecd6frrzWUCcoBmDwAAwB+VKGFP6IyIsOszZ+wjUH/+aTZXoLAse4mL1audfaNH22seAn6CZg8AAMBfXXedNHeuMyRk3z6pTRu78cPlefNNacYMp+7YUXr+eXN5AA/Q7AEAAPiz+++XXnrJqdeskR57zD4yBc989pn05JNOffPNduPH5E34GZo9AAAAf/fMM9JDDzn1229Lr79uLo8/27bNPoqXtpxF6dL2xNNChYzGAjxBswcAAODvXC5p6lSpTh1n3zPPSB9/bC6TPzp2TGrRwv6vJIWHS4sWSeXLm0wFeIxmDwAAIBAULGgfgSpb1q4tS+rUSdqyxWgsv5GcLD34oH1kL82UKVL9+uYyAZeJZg8AACBQlC1rN3wFCth1UpLUsqV05IjRWH7h2Wel//7XqZ96yn0hdcAP0ewBAAAEkjp1pOnTnXrHDvsatORkc5l83axZ0htvOPV990n//rexOIC30OwBAAAEms6dpUGDnPrzz6WBA83l8WXffmtPL01zzTX2chb58pnLBHgJzR4AAEAgGj3aHjaSZtw4e4gLHLt32+sSnjtn18WK2QvVR0WZzQV4SajpAAAAAMgFISHSu+9Kt9wibd5s7+vTx15DLoTP+yVJP/4oHTxob+fLJ82fL115pdlMgBfR7AEAAASqiAj7SFXdutLhw/Z1ewsWmE7lm8aOle6803QKwKv4WAcAACCQValiN3ihfMafpZ49pX79TKcAvI5/9QAAAIGucWN7EMmnn0opKabT+JbKlaWHH7YXpgcCDM0eAABAMKhTx/4CEDQ4jRMAAAAAAhDNHgAAAAAEIJo9AAAAAAhANHsAAAAAEIBo9gAAAAAgANHsAQAAAEAAotkDAAAAgABEswcAAAAAAYhmDwAAAAACEM0eAAAAAAQgmj0AAAAACEA0ewAAAAAQgGj2AAAAACAA0ewBAAAAQACi2QMAAACAAESzBwAAAAABiGYPAAAAAAIQzR4AAAAABCCaPQAAAAAIQDR7AAAAABCAaPYAAAAAIACFmg7gLyzLkiQlJSUZTgIAAAAgWKX1I2n9ycXQ7GXT8ePHJUkVKlQwnAQAAABAsDt+/LiioqIueh+XlZ2WEEpNTdX+/fsVEREhl8vl8fNUq1ZNkrR9+3ZvRQPS8f5CbuM9htzGewy5ifcXcltevMcsy9Lx48dVtmxZhYRc/Ko8juxlU0hIiMqXL++V55GkyMjIy34u4J94fyG38R5DbuM9htzE+wu5La/eY5c6opeGAS0AAAAAEIBo9gAAAAAgAHHNHgAAAAAEII7sAQAAAEAAotkDAAAAgABEswcAAAAAAYhmDwAAAAACEM0eAAAAAAQgmj0AAAAACEA0ewAAAAAQgGj2AAAAACAA0ewBAAAAQACi2QMAAACAAESzBwAAAAABiGYPAAAAAAIQzR4AAAAABCCavTyQmpqqsWPH6uqrr1aBAgVUoUIFPfnkkzp58qTpaPAj27Zt09ChQ1W/fn2VKlVKERERqlWrlsaMGZPpe2nr1q1q3bq1ihUrpsKFC6thw4b68ssvDSSHPzt16pSqVKkil8ulfv36XXA77zN44siRI3rqqad05ZVXqkCBAipVqpSaNGmi//3vf273+/7779W0aVNFREQoMjJS99xzjzZs2GAmNPzCiRMn9OKLL6pmzZqKiIhQyZIl1aBBA82aNUuWZbndl/cXLuall15S+/bt0/8fWKlSpYvePyfvp/379+uRRx5RqVKlVLBgQdWuXVvz58/3/jchyWX9850Pr3v88cf11ltvqU2bNrr33nu1ZcsWjRs3Tg0bNtTnn3+ukBB6blzac889pwkTJqhly5aqX7++8ufPr5UrV+qDDz7Q9ddfrzVr1qhgwYKSpN9//11169ZVaGioBgwYoKioKE2dOlWbNm3SJ598oqZNmxr+buAvnnrqKU2ePFknTpxQ3759NX78+PTbeJ/BE3/88YcaN26sEydOqHv37rrqqquUmJioX375RXfffbcefPBBSdKaNWvUuHFjlStXLv2DhvHjx+vgwYP69ttvVbNmTZPfBnxQamqqGjVqpG+//VaxsbGqX7++Tp06pffee09r167VM888o5dfflkS7y9cmsvlUvHixXXTTTdp/fr1ioyMVEJCQqb3zcn76ciRI6pdu7YOHjyogQMHqnz58po7d66++uorzZgxQ926dfPuN2IhV23atMlyuVzWAw884Lb/rbfesiRZ7777rqFk8Dfr1q2zjh07dsH+wYMHW5KscePGpe9r3769FRISYv3000/p+44fP27FxMRYV111lZWampoXkeHn1q9fb+XLl896/fXXLUlW37593W7nfQZP3HbbbVb58uWt/fv3X/R+derUsSIiIqy9e/em79u7d68VERFhNWvWLLdjwg99++23liRrwIABbvvPnj1rVa5c2YqKikrfx/sLl/L777+nb1933XVWxYoVs7xvTt5PTz/9tCXJWrp0afq+5ORkq06dOlbx4sWt48ePe++bsCyLQ0q57L333pNlWRowYIDb/p49e6pQoUJ65513zASD36ldu7aioqIu2N+xY0dJ0qZNmyRJJ0+e1NKlS9W4cWPVqlUr/X5FihRRjx49tG3bNq1bty5PMsN/paSkqGfPnrrnnnv0wAMPXHA77zN44uuvv9Y333yjZ555RmXKlNH58+d16tSpC+63Y8cOrVu3Tu3bt1e5cuXS95crV07t27fX559/rj///DMvo8MPJCUlSZLKli3rtj8sLEwlS5ZU4cKFJfH+QvZUqVIlW/fL6ftp7ty5qlq1qlq0aJG+L1++fOrfv7+OHDmijz/+2HvfhLhmL9etW7dOISEhqlu3rtv+AgUKqFatWvwyhMu2d+9eSVJ0dLQk6ZdfftHZs2d1yy23XHDf+vXrSxLvO1zS2LFj9dtvv7mdtpkR7zN4Iu2XmJiYGLVo0UIFCxZU4cKFddVVV7l9+Jn23snq/WVZltavX583oeE36tatq6JFi+qVV17R/PnztXv3bv32228aNGiQ1q9fr+HDh0vi/QXvysn76cCBA9q3b1/6/yf/ed+Mz+ctNHu5bP/+/SpZsqTCw8MvuK1cuXI6dOiQzp07ZyAZAkFKSopGjRql0NBQde7cWZL9npPk9ulSmrR9+/bty7uQ8Du7du3SsGHDNHTo0CwvSOd9Bk9s3bpVkn12y5EjRzR79mzNmDFDYWFh6tKli2bOnCmJ9xc8U6xYMS1dulTFixdXhw4dVLFiRV1zzTWaMGGCPvzwQ/Xs2VMS7y94V07eTybee6FefTZc4NSpU5k2epJ9dC/tPmFhYXkZCwFiwIAB+u677/Tiiy+qevXqkpR+SlRm77uM7zkgK3FxcapSpYoGDhyY5X14n8ETx48flyRFRERo5cqV6f/va926tapUqaLnn39esbGxvL/gsSJFiqhGjRpq2bKlGjRooCNHjmjChAnq3LmzlixZombNmvH+glfl5P1k4r1Hs5fLChUqpIMHD2Z625kzZ9LvA+TUkCFDNH78ePXq1UuDBg1K35/2fjp79uwFj+E9h0t55513tGLFCn399dfKnz9/lvfjfQZPpE0M7tSpk9uHnMWKFVPLli319ttva+vWrby/4JGNGzeqQYMGGjt2rOLi4tL3d+rUSTVq1FDPnj31+++/8/6CV+Xk/WTivcdpnLmsbNmyOnToUKZ/qfv27VPJkiU5qoccGz58uEaPHq1u3bopPj7e7ba0C9MzOw0gbV9mpw8AZ8+e1cCBA3XfffepdOnS2rFjh3bs2KE//vhDkpSYmKgdO3bo2LFjvM/gkfLly0uSSpcufcFtZcqUkSQdPXqU9xc8MnbsWJ05c0bt27d321+oUCE1b95cf/zxhxISEnh/waty8n4y8d6j2ctlderUUWpqqtauXeu2/8yZM9qwYYNq165tKBn81fDhwzVixAjFxsZq2rRpcrlcbrfXrFlT4eHh+u677y547Jo1aySJ9x0ydfr0af39999avny5qlWrlv7VuHFjSfZRv2rVqmnatGm8z+CRtGFlaYOlMkrbd8UVV6hOnTqSlOX7y+Vy6eabb87FpPBHab8sp6SkXHBbcnJy+n95f8GbcvJ+KlOmjMqVK5f+/8l/3lfKhf93enUhB1zgl19+ueg6e3PmzDGUDP5oxIgRliSrS5cuVkpKSpb3a9eunRUSEmJt2LAhfV/a+mfVqlVj/TNk6ty5c9b8+fMv+Jo4caIlybrnnnus+fPnW1u3brUsi/cZcu7IkSNWRESEVa5cObe1pPbv328VLlzYuuqqq9L31a5d24qIiLD27duXvm/fvn1WRESEdeedd+ZpbviHAQMGWJKsl19+2W3/0aNHrTJlyljFihWzkpOTLcvi/YWcudQ6ezl5Pz311FNZrrNXtGhRKykpyavZXZZlWd5tH/FP/fv31/jx49WmTRvdd9992rJli9566y3deuut+vLLLxUSwgFWXNqECRPUr18/xcTEaNSoURe8b6Kjo9WsWTNJ9povdevWVf78+fXEE08oMjJSU6dO1caNG7V8+XLdfffdJr4F+KmEhARVrlxZffv2dVuKgfcZPDFlyhQ99thjuu666/Too4/q3LlzmjRpkg4cOKCPPvpId911lyTp22+/VZMmTVS+fHn1799fkjRu3Dj99ddfWr16tW644QaT3wZ80B9//KGbbrpJR48e1UMPPaRbb71VR44c0dSpU5WQkKAJEyaoT58+knh/4dLmzJmTfhnDuHHjdO7cOT355JOSpIoVK6pLly7p983J++nw4cO6+eabdfjwYQ0cOFDlypXTe++9p1WrVmnatGnq3r27d78Rr7aOyFRycrL12muvWVdddZUVFhZmlS1b1nriiSfcPtUELiU2NtaSlOVXo0aN3O7/66+/Wi1btrSioqKsggULWrfeequ1YsUKM+Hh13bt2mVJsvr27XvBbbzP4IkPP/zQqlevnlWoUCGrSJEiVrNmzaxvvvnmgvt9++231h133GEVLlzYKlKkiHXXXXdZ69evN5AY/mLHjh3WI488YpUrV84KDQ21IiIirIYNG1offvjhBffl/YWLadSoUbZ/57KsnL2f9u7daz388MNWiRIlrPDwcOvGG2+03n///Vz5PjiyBwAAAAABiPMHAQAAACAA0ewBAAAAQACi2QMAAACAAESzBwAAAAABiGYPAAAAAAIQzR4AAAAABCCaPQAAAAAIQDR7AAAAABCAaPYAAAAAIADR7AEAgt7w4cPlcrm0atUq01FypGHDhqpVq5Ysy8rxY3/++WeFhIRo2rRpuZAMAOALaPYAAAHF5XLl6MvfGrw08+fP1zfffKPRo0fL5XLl+PE33HCD2rZtqyFDhujEiRO5kBAAYJrL8uTjQAAAfNTw4cMv2Pef//xHiYmJevzxx1W0aFG327p27aoiRYro0KFDiomJUaFChfIm6GWwLEtXX3218ufPr02bNnn8PD/88IPq1KmjMWPG6Pnnn/diQgCAL6DZAwAEvEqVKumPP/7Qrl27VKlSJdNxLtuKFSt011136eWXX9YzzzxzWc917bXX6uTJk9q1a5dCQjjhBwACCT/VAQBBL7Nr9hISEuRyudS1a1dt27ZNbdq0UbFixRQVFaVWrVopISFBkrRjxw61b99eJUuWVKFChXTfffdp586dmb7O4cOH9cwzz6h69eoqUKCAihUrpubNm2vNmjU5yjv9/9q7m5CovjCO4z+5FvYyDkpEMxES5aL3IbxaKpEQFFiYQtiiYmCcIIwgImoRZEG1qBAiXBS1GMI2Uo0t7IVELJiKQoWgpgLfCrEXK4NSLKdFNP2nO436L1Mv3w/M5nnOPfc5y4cz59xz5yRJpaWlllxvb68OHTqkxYsXy+FwyOFwaN68edq8ebOampos40tLS9XR0aGbN2+OqAYAwPhHswcAQAKtra1auXKlPnz4IJ/Pp7y8PNXW1mrNmjV6/PixcnJy9ObNG3m9Xq1evVp1dXUqLCzU4OCgZZ7ly5fr+PHjmj17tsrLy1VcXKxQKKRVq1bp6tWrw6onEomovr5ebrdbGRkZlty6detUUVGh1NRU+f1+7dixQ9nZ2WpoaNC9e/cs8+Xl5UkSzR4A2FDyWBcAAMB41tjYqBMnTmjPnj3R2Pbt23X27Fnl5ubqwIEDcXPBYFDFxcXR+LZt2/TixQtdunQpJn7kyBFlZ2fL7/erra1NKSkpCesJh8N6/fq1NmzYYMk9evRIoVBIGzdu1OXLl2NyX79+VW9vr+UZ0zSj6wQA2As7ewAAJDB37lzt3r07JrZ161ZJUnp6uiW3ZcsWSd8/bfBDc3Oz7ty5o02bNsU0epLkcrm0d+9edXd369atW0PW09HRIUmaNWvWb8dMmTLFEjMMQ2lpaZa40+lUSkpKdF4AgH2wswcAQALLli2zXFzicrkkSUuXLrXk3G63JOnly5fRWCgUkiT19PTEvS302bNnkqQnT56osLAwYT1v376VpLiN28KFC+XxeHTx4kW1t7erqKhI+fn5ysrK0uTJk387Z3p6urq7uxO+FwAw8dDsAQCQgNPptMSSk5OHzA0MDERjPT09kr6fi0t0Nm4437v7sWvX19dnyRmGofr6eh0+fFg1NTXat2+fJCk1NVVer1dHjx7VtGnTLM99/vw57m4gAGBi42+cAACMsh9N4bFjxxSJRH77O3jw4JBzzZw5U9LPBvJXaWlpqqysVGdnp54+faozZ84oMzNTp06d0s6dOy3jBwcH9f79++i8AAD7oNkDAGCU5eTkSPr5d84/sWjRIhmGoXA4POTYzMxM+f1+NTY2avr06bpy5YplTDgcViQSkcfj+ePaAADjC80eAACjzDRN5ebmqra2VufPn4875u7du/r06dOQczmdTnk8HrW0tKi/vz8m19raGvcbf+/evVN/f7+mTp0a972SVFBQMJylAAAmEM7sAQDwD1RXV6ugoEA+n09VVVUyTVMOh0OdnZ168OCBnj9/rq6urrgN2a9KSkr08OFDNTQ0aO3atdF4S0uLSkpKZJqmFixYILfbrVevXikYDGpgYCB6hu+/bty4IcMwVFRU9FfXCwAYe+zsAQDwD2RkZKipqUkVFRX68uWLAoGATp8+rfv372vJkiUKBAKaMWPGsOby+XyaNGmSAoFATDwrK0v79++XYRi6du2aTp48qevXr8s0TdXV1WnXrl0x4z9+/KhgMKj169drzpw5f22tAIDxISkSiUTGuggAADAyZWVlqq6uVltb2/++XKWqqkrl5eW6ffu28vPz/3KFAICxRrMHAMAE1NXVFb2ApbKycsTP9/X1af78+VqxYoVqampGoUIAwFjjzB4AABOQy+XShQsXordpJiUljej59vZ2lZWVyev1jk6BAIAxx84eAAAAANgQF7QAAAAAgA3R7AEAAACADdHsAQAAAIAN0ewBAAAAgA3R7AEAAACADdHsAQAAAIAN0ewBAAAAgA3R7AEAAACADdHsAQAAAIANfQPgpdWrbHWBFwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.plot(dps.time, dps.freq[max_pos], color='red', alpha=1)\n", "plt.xlabel('Time (s)')\n", "plt.ylabel('Frequency (Hz)')\n", "plt.title('Detected frequency drift')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Overlaying this traced function with the Dynamical Powerspectrum" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "extent = min(dps.time), max(dps.time), min(dps.freq), max(dps.freq)\n", "plt.imshow(dps.dyn_ps, aspect=\"auto\", origin=\"lower\",\n", " interpolation=\"none\", extent=extent, alpha=0.6)\n", "plt.plot(dps.time, dps.freq[max_pos], color='C3', lw=5, alpha=1, label='drifiting function')\n", "\n", "plt.ylim(15,30) # zoom-in around 24 hertz\n", "\n", "plt.title('Overlay of Drifting fuction and Dynamic Powerspecttrum')\n", "plt.xlabel('Time (s)')\n", "plt.ylabel('Frequency (Hz)')\n", "plt.colorbar(label='Power')\n", "plt.legend()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Shifting-and-adding\n", "\n", "Shift-and-add is a technique used to improve the detection of QPOs ([Méndez et al. 1998](https://doi.org/10.1086/311600)). Basically, the spectrum is calculated in many segments, just as in the dynamical power spectrum above, but then the single spectra are shifted so that they are centered in the variable frequency of the followed feature. \n", "This technique is implemented in Stingray's Dynamic Cross- and Powerspectrum. We can apply it here, using the `trace_maximum` functionality from the sections above.\n" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 25, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "max_pos = dps.trace_maximum()\n", "f0_list = dps.freq[max_pos]\n", "\n", "new_spec = dps.shift_and_add(f0_list, nbins=100)\n", "\n", "# Let's compare it to the original power spectrum.\n", "plt.plot(ps.freq, ps.power, label='power spectrum', alpha=0.5, color=\"k\")\n", "plt.plot(new_spec.freq, new_spec.power, label='Shifted-and-added', color=\"k\")\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.11.6" } }, "nbformat": 4, "nbformat_minor": 4 }