m-thesis-introduction/simulations/05_grid_search_and_timing_error.ipynb

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Perform a grid search to find the timing error"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import os\n",
"import sys\n",
"# Append parent directory to import path so lib can be found\n",
"sys.path.append(os.path.dirname(os.path.abspath(os.getcwd())))\n",
"\n",
"import numpy as np\n",
"rng = np.random.default_rng(12345)\n",
"\n",
"import matplotlib.pyplot as plt\n",
"from scipy import signal\n",
"import copy\n",
"\n",
"from lib.signals import DigitisedSignal\n",
"import lib.util as util\n",
"\n",
"\n",
"km = 1e3\n",
"ns = 1e9\n",
"\n",
"# monkey patch correlation_lags into signal if it does not exist\n",
"if not hasattr(signal, 'correlation_lags'):\n",
" def correlation_lags(in1_len, in2_len, mode='full'):\n",
" r\"\"\"\n",
" Calculates the lag / displacement indices array for 1D cross-correlation.\n",
" Parameters\n",
" ----------\n",
" in1_size : int\n",
" First input size.\n",
" in2_size : int\n",
" Second input size.\n",
" mode : str {'full', 'valid', 'same'}, optional\n",
" A string indicating the size of the output.\n",
" See the documentation `correlate` for more information.\n",
" See Also\n",
" --------\n",
" correlate : Compute the N-dimensional cross-correlation.\n",
" Returns\n",
" -------\n",
" lags : array\n",
" Returns an array containing cross-correlation lag/displacement indices.\n",
" Indices can be indexed with the np.argmax of the correlation to return\n",
" the lag/displacement.\n",
" Notes\n",
" -----\n",
" Cross-correlation for continuous functions :math:`f` and :math:`g` is\n",
" defined as:\n",
" .. math::\n",
" \\left ( f\\star g \\right )\\left ( \\tau \\right )\n",
" \\triangleq \\int_{t_0}^{t_0 +T}\n",
" \\overline{f\\left ( t \\right )}g\\left ( t+\\tau \\right )dt\n",
" Where :math:`\\tau` is defined as the displacement, also known as the lag.\n",
" Cross correlation for discrete functions :math:`f` and :math:`g` is\n",
" defined as:\n",
" .. math::\n",
" \\left ( f\\star g \\right )\\left [ n \\right ]\n",
" \\triangleq \\sum_{-\\infty}^{\\infty}\n",
" \\overline{f\\left [ m \\right ]}g\\left [ m+n \\right ]\n",
" Where :math:`n` is the lag.\n",
" Examples\n",
" --------\n",
" Cross-correlation of a signal with its time-delayed self.\n",
" >>> from scipy import signal\n",
" >>> from numpy.random import default_rng\n",
" >>> rng = default_rng()\n",
" >>> x = rng.standard_normal(1000)\n",
" >>> y = np.concatenate([rng.standard_normal(100), x])\n",
" >>> correlation = signal.correlate(x, y, mode=\"full\")\n",
" >>> lags = signal.correlation_lags(x.size, y.size, mode=\"full\")\n",
" >>> lag = lags[np.argmax(correlation)]\n",
" \"\"\"\n",
"\n",
" # calculate lag ranges in different modes of operation\n",
" if mode == \"full\":\n",
" # the output is the full discrete linear convolution\n",
" # of the inputs. (Default)\n",
" lags = np.arange(-in2_len + 1, in1_len)\n",
" elif mode == \"same\":\n",
" # the output is the same size as `in1`, centered\n",
" # with respect to the 'full' output.\n",
" # calculate the full output\n",
" lags = np.arange(-in2_len + 1, in1_len)\n",
" # determine the midpoint in the full output\n",
" mid = lags.size // 2\n",
" # determine lag_bound to be used with respect\n",
" # to the midpoint\n",
" lag_bound = in1_len // 2\n",
" # calculate lag ranges for even and odd scenarios\n",
" if in1_len % 2 == 0:\n",
" lags = lags[(mid-lag_bound):(mid+lag_bound)]\n",
" else:\n",
" lags = lags[(mid-lag_bound):(mid+lag_bound)+1]\n",
" elif mode == \"valid\":\n",
" # the output consists only of those elements that do not\n",
" # rely on the zero-padding. In 'valid' mode, either `in1` or `in2`\n",
" # must be at least as large as the other in every dimension.\n",
"\n",
" # the lag_bound will be either negative or positive\n",
" # this let's us infer how to present the lag range\n",
" lag_bound = in1_len - in2_len\n",
" if lag_bound >= 0:\n",
" lags = np.arange(lag_bound + 1)\n",
" else:\n",
" lags = np.arange(lag_bound, 1)\n",
" return lags\n",
"\n",
" signal.correlation_lags = correlation_lags"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Setup signal\n",
"########################\n",
"\n",
"signal_t_length = 200e-9\n",
"signal_sample_rate = 5e9 # Hz\n",
"signal_time = util.sampled_time(\n",
" sample_rate=signal_sample_rate,\n",
" start=0,\n",
" end=signal_t_length\n",
")\n",
"double_signal_time = np.concatenate((signal_time, signal_time[-1] + signal_time)) \\\n",
" - (signal_time[-1] - signal_time[0])/2\n",
"\n",
"fc = 50e6# MHz\n",
"\n",
"if True:\n",
"\n",
" shift = -25.8e-9\n",
" signal_pulse1_center = 125e-9 # 100 ns\n",
" \n",
" if not True:\n",
" signal_1 = DigitisedSignal(signal.gausspulse(signal_time - signal_pulse1_center, fc=fc),\n",
" signal_sample_rate)\n",
" signal_2 = DigitisedSignal(signal.gausspulse(signal_time - signal_pulse1_center, fc=fc), \n",
" signal_sample_rate)\n",
" signal_2.t_0 = shift\n",
" else:\n",
" signal_1 = DigitisedSignal(np.sin(2*np.pi*(signal_time)*fc/5.4) + np.sin(2*np.pi*(signal_time)*fc),\n",
" signal_sample_rate)\n",
"\n",
" signal_2 = copy.copy(signal_1)\n",
" signal_2.t_0 = shift\n",
" \n",
" signal_1.periodic = False\n",
" signal_2.periodic = False\n",
" del signal_pulse1_center\n",
"\n",
"\n",
"del fc, signal_t_length, signal_sample_rate\n",
"\n",
"\n",
"# Pre calculated values\n",
"sig_1 = signal_1(double_signal_time)\n",
"sig_2 = signal_2(double_signal_time)\n",
"\n",
"\n",
"if True:\n",
" fig, ax = plt.subplots()\n",
" ax.plot(double_signal_time * ns, sig_1, label='Regular')\n",
" ax.plot((double_signal_time) * ns, sig_2, label=\"Shifted\")\n",
" ax.plot((double_signal_time) * ns, signal_2(double_signal_time + shift), 'r--', label=\"Cheat\")\n",
" ax.set_xlabel(\"Time (ns)\")\n",
" ax.set_ylabel(\"Amplitude\")\n",
" ax.set_title(\"Lag: {:.4g} ns\".format(shift*ns))\n",
" plt.legend()\n",
" plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"## Using scipy\n",
"\n",
"if True:\n",
" scipy_corr = signal.correlate(sig_1, sig_2, mode='same')\n",
" scipy_id = scipy_corr.argmax()\n",
" calc_shift = ((len(scipy_corr)-1)/2 -scipy_id)/signal_1.sample_rate\n",
"\n",
" if not True:\n",
" signal_2.periodic = True\n",
"\n",
" fig, ax = plt.subplots()\n",
" ax.plot(double_signal_time * ns, sig_1, label='Regular')\n",
" ax.plot((double_signal_time) * ns, sig_2, label=\"Shifted\")\n",
" ax.plot((double_signal_time) * ns, signal_2(double_signal_time + calc_shift), 'r--', label='Recovered')\n",
" ax.set_xlabel(\"Time (ns)\")\n",
" ax.set_ylabel(\"Correlation\")\n",
" ax.set_title(\"Calculated Lag: {:.4g} ns\".format(calc_shift*ns))\n",
" ax.legend()\n",
" plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## new code"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"def lag_gridsearch(grid, sample_rate, signal_data, reference):\n",
" \"\"\"\n",
" Return the best time shift found when doing a grid search.\n",
" \n",
" Parameters\n",
" ----------\n",
" lag_grid - ndarray\n",
" The array specifying the grid that is to be searched.\n",
" sample_rate - float\n",
" Sample rate of signal_data to transform index to time.\n",
" signal_data - ndarray\n",
" The real signal to find the time shift for.\n",
" reference - ndarray\n",
" Real signal to use as reference to obtain lag.\n",
" \n",
" Returns\n",
" -------\n",
" lag : ndarray\n",
" The best time shift obtained\n",
" err : tuple\n",
" Difference to the previous and next time shift from lag, resp.\n",
" \"\"\"\n",
"\n",
" assert signal_data.shape == reference.shape\n",
" \n",
" corrs = grid_correlate(grid, signal_data, reference)\n",
" \n",
" idx = np.argmax(corrs)\n",
" \n",
" lag = grid[idx]/sample_rate\n",
" \n",
" err_min = (grid[idx-1]-grid[idx])/(2*sample_rate)\n",
" err_plus = (grid[idx+1]-grid[idx])/(2*sample_rate)\n",
"\n",
" return lag, (err_min, err_plus)\n",
" \n",
"\n",
"def grid_correlate(grid, x, reference):\n",
" \"\"\"\n",
" Determine correlation between x and reference using grid as \n",
" the lags to be used for the correlation.\n",
" \n",
" Parameters\n",
" ----------\n",
" grid - ndarray\n",
" The array specifying the grid that is to be searched.\n",
" x - ndarray\n",
" The real signal to find the time shift for.\n",
" reference - ndarray\n",
" Real signal to use as reference to obtain lag.\n",
" \n",
" Returns\n",
" -------\n",
" corrs - ndarray\n",
" The correlations along grid.\n",
" \"\"\"\n",
" grid = np.asarray(grid)\n",
" x = np.asarray(x)\n",
" reference = np.asarray(reference)\n",
"\n",
" assert x.shape == reference.shape\n",
" \n",
" ref_conj = np.conjugate(reference)\n",
" \n",
" corrs = np.array([np.dot(np.roll(ref_conj, lag), x) for lag in grid], dtype=np.float64)\n",
" \n",
" return corrs\n",
"\n",
"def correlation_grid(grid_size=None, in1_len=None, in2_len = None, end = None, start=None, mode='full'):\n",
" \"\"\"\n",
" Abuse correlation_lags to determine the endpoints of the grid.\n",
" \"\"\"\n",
" \n",
" if in1_len is not None or in2_len is not None:\n",
" if in2_len is None:\n",
" in2_len = in1_len\n",
" elif in1_len is None:\n",
" in1_len = in2_len\n",
"\n",
" lags = signal.correlation_lags(in1_len, in2_len, mode=mode)\n",
"\n",
" max_lag = max(lags)\n",
" min_lag = min(lags)\n",
" else:\n",
" max_lag = np.inf\n",
" min_lag = -np.inf\n",
"\n",
" if end is None:\n",
" end = max_lag\n",
" elif end > max_lag:\n",
" raise ValueError(\"Grid end is too high\")\n",
"\n",
" if start is None:\n",
" start = min_lag\n",
" elif start < min_lag:\n",
" raise ValueError(\"Grid start is too low\")\n",
"\n",
" return np.linspace(start, end, grid_size, dtype=int, endpoint=False)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"ids 872 871\n",
"ts -2.58e-08 -2.58e-08 =: -2.58e-08\n",
"avail ts -2e-07 - 1.996e-07 : 1.9979999999999997e-10\n",
"grid size 2000 2000 2000\n"
]
}
],
"source": [
"#################\n",
"\n",
"grid_size = 2000\n",
"my_mode = 'same'\n",
"grid = correlation_grid(grid_size, in1_len=len(sig_1), in2_len=len(sig_2), mode=my_mode)\n",
"t_grid = grid/signal_1.sample_rate\n",
"\n",
"scipy_mode = my_mode\n",
"scipy_corr = signal.correlate(sig_2, sig_1, mode=scipy_mode)\n",
"scipy_lags = signal.correlation_lags(len(sig_2), len(sig_1), mode=scipy_mode)\n",
"corrs = grid_correlate(grid, sig_2, sig_1)\n",
" \n",
"\n",
"scipy_id = np.argmax(scipy_corr)\n",
"my_id = np.argmax(corrs)\n",
"\n",
"\n",
"fig, ax = plt.subplots()\n",
"ax.set_title(\"Correlations\")\n",
"\n",
"if not True:\n",
" x_grid = grid\n",
" scipy_grid = scipy_lags\n",
" ax.set_xlabel(\"Index Lag\")\n",
"else:\n",
" x_grid = t_grid * 1e9\n",
" scipy_grid = scipy_lags / signal_1.sample_rate * 1e9\n",
" ax.set_xlabel(\"Time [ns]\")\n",
" \n",
"ax.plot(x_grid, corrs, label='grid correlation')\n",
"ax.plot(scipy_grid, scipy_corr, label='scipy')\n",
"\n",
"ax.legend()\n",
"\n",
"plt.show();\n",
"\n",
"\n",
"if scipy_mode == 'same':\n",
" scipy_corr_grid = scipy_corr[grid]\n",
"else:\n",
" scipy_corr_grid = scipy_corr[grid]\n",
" \n",
"\n",
"if len(grid) <= 10:\n",
" print(\"G\", grid)\n",
" print(\"TG\", grid/signal_1.sample_rate)\n",
" print(\"C\", corrs)\n",
" print(\"SC\", scipy_corr_grid)\n",
" \n",
" \n",
"print(\"ids\", my_id, scipy_id)\n",
"print(\"ts\", t_grid[my_id], scipy_lags[np.argmax(scipy_corr)]/signal_1.sample_rate, '=:', signal_2.t_0)\n",
"print(\"avail ts\", t_grid[0], '-', t_grid[-1] ,':', (t_grid[-1] - t_grid[0])/len(t_grid))\n",
"print(\"grid size\", len(t_grid), len(sig_2), len(sig_1))"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-2.58e-08 = -2.58e-08 \\pm (-1e-10, 1e-10)\n"
]
},
{
"data": {
"image/png": 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y60J0AsnSLHYFd9c8pNtrR6GcwanQ6oj28WgWPT4HGGPLnuv3dsJlDOJ0pH77I4IgiJVicnISbW1tsFqF4WhbWxs2bBCbof/0T/+EAwcOYM+ePTh1SpgRfv3rX8cHP/hBHD16FH/5l3+JBx54APv378df/dVf4dy5c9i/fz8++tGPAgD+/u//HldddRX27t2Lj3/84/PX/NSnPoXt27fj5ptvxunTp1f4FdfH1HwIQRCXAqHkJSZuASFYnW1iwd4MRxswe6b1c9KAFGUKyhC4u9u3AQCOzZzG/q5tLZ0XsY6IT4p7xlTnPebpBsaOiEipu0ltu95IwrWe+JZq7RPTIp0awO9HnwUAXNW9v+YhPrsJ35l5H86Vb8R1G5un/utJJl9CPFPAvt76G3C9zq0YSa7tzyWCIFaYoV8t2sjTBVcnsPXmhkNuueUWfPKTn8S2bdtw880344477sANN9wAQIjdZ599Fl/84hfxmc98Bv/yL/8yf9z+/fvxyU9+Ek8//TS+8IUvYHh4GMePH8fRo0cBAA8++CCGhobw1FNPgXOON7zhDXjkkUfgdDpx33334bnnnkOxWMSBAwdw8OBBfV+3SiiCSxDE6pEKCeEqB2cbUMgA+VRr56SBuWQejAF+GQJ3b4cQtWfCZ1s9LWK9wDmQmBBR2npIqcuJVYh4JiYBu79+yy+rS3xVmcU9N/MCDDDhcG9t13GDwYAe+1aci618lHQmIVzbO9z1W5ht9e1AOD+OaGb1+/USBHF543K58Mwzz+DLX/4y2tvbcccdd+DrX/86AOBNb3oTAODgwYMYHh5WdN4HH3wQDz74IK688kocOHAAp06dwtDQEB599FHcdtttcDgc8Hg8eMMb3qDzK1IPRXAJglgdJLHazGBKQhqXmgUsyx1N1wLhVB5euxlmY/O9Q5/dBY+pA8NxSlEmZJKNiTpXT4O2WjYfYLaLOtwNV67Y1ACIyGyjuQGi5VdVT+tzsdNotw7AaVlu4iSxzb8Tvxj7TyRyabitjrrj9GamUvLR4anfX3xf+y78eJTjyYljeNXmwys1NYIg1jJNIq2txGg04sYbb8SNN96IPXv24N/+7d8AYD5t2Wg0olgsKjon5xx/8zd/gzvvvHPR45///Odrlm+sBSiCSxDE6pCuOCLLjeBK49aw0VQ4lZNVfyvRZR/AeJoELiETqQbd2V5/DGMiiiuZUa0U+bQQ4M16Wrs7xb1faa0zlRlGr3NTw0P2d+wFRxlHJl7Ua7ayODN7EW6bATazse6Yw30HsNd1G8qFtbnpRhDE5cPp06cxNDQ0//+jR49iYKC56eVS3G43EonE/P9f9apX4V//9V+RTIpMlfHxcczMzOBlL3sZ7r//fmQyGSQSCfz4xz/W/iJ0YlUFLmPsXxljM4yxmn+1GGM3MsZijLGjla+/Xek5EsSlwB33Po50TtmO3KqTiYjvjoC88Va3MKRKh1s3Jw1wzhHLFOBzyBe4va5BhHMTKJVLLZwZsW5IhcT3ZptCznZxn6zk+0pKO27W09rVJVKtUyHMpCJIlcLY5G0scA90CYflYzMra2DyxdP/Aw+H/7HhmH5vB25ofycMpY4VmhVBEERtkskk3vnOd2Lnzp3Yu3cvTpw4gU984hOKzxMMBnHddddh9+7d+OhHP4pbbrkF73jHO3D48GHs2bMHt99+OxKJBA4cOIA77rgD+/fvx5vf/GZcf/31+r8olax2ivLXAXwBwDcajHmUc37rykyHIC5dzEYD2l31U+nWHJmIiDY1c1CWYEzU90nCeLWITwDlomiFUpWak8wVUShx+OzL24nUo9/dh9JkHsPRSWwO1HGebTGpXBHD4Qg6PWa0OX2rMgdCJqmQ2OipV+Mq4WwX4jYdBlwNor16kpwR391djcdJpQbpOTyXHgUAXNG2veEh24J9MDEbzkSHGo7Tk1AqgnhxGpt9zWvKAk4rIqvUxoggCELi4MGDeOyxx5Y9Xl1ze+jQITz88MMAgHe9611417vetezfAPAf//Efi85x11134a677lp27o997GP42Mc+pnnuerOqEVzO+SMA1mY4hiAuMcwmA9rdl5jAtXkBQ/30v2WstsAdfQJ45t+A574FnHto0VPRtOhnW6tfZj22+DcCAE6tUqugWLqAbz4xgi8feQBv/MGbMRrT2fWR0Jf0bOP0ZAlpjBTxXQlSIWEgZa5fSwtA1AgbjEB6FidCwn1YMlyrh9FgRId1ACPxczpNtjlHp8XcdgabO5wHnGaE03lwzls9LYIgCEIGl0IN7mHG2POMsZ8xxnbVG8QYey9j7GnG2NOh0Ar+UScIQh2ZiBCsSrD7gUx0dXp8JmeA878F2rYCG/YDF4+Ili0VYpmKwLXLT1He3iYE7tnIsJ4zlQXnHA+emEKpzHHzth1IFsP437//3IrPg5BJuQyk5uSZsjmCADMAqZnWz0siPSevnt5gEPdxOgy3oQd73Ldia6Cv6WF9rk2Yzl5AeYXu/VOzwt18T0fj6DIA+B0W5AplpPJUakAQBLEWWOsC91kAA5zzfQD+CcAP6g3knH+Zc36Ic36ovX2FUrIIglCPWoHLy0Au1po5NeLikyLytON1wOZXiDTRkd/PPx1NF2A0MLht8is/Nvt6YIAJI/HRVsy4IZOxLMYiGVy3pQ2v33ENrut8HZ4M/QJn5lZ+LoQMslGRGi8ngms0idr21AoZsnG+0NNaDo4gkJqFz7gDb+h9PwyG5kuRrf6tyJYTGI2vTJbB2eg5mJhFlvgOOkXmDKUpEwRBrA3WtMDlnMc558nKvx8AYGaMyfwLShDEmqWQEe1OlApcyZBqpdOU82lg5iTQtVekYJqsQPd+YO6ceA5ANJOHx2aCwSDfMt9sMmHQeSUYb5LW2QKevxiF1WzAzm4PAOC/HfxzcJRw3/EfrfhcCBnMOyjLbavVvlAX22pycaBUEMJVDs42IBtFJJGS7Tq+q1Kn+9zUyvTDHU1eQNDSB7Op+YaV3ynKEuZI4BIEQawJ1rTAZYx1sUqDJcbY1RDznVvdWRHE2uPbdx6eFyqXBJJAVRPBBYD0CgvcuSFh2tO1Z+Gxjp0imjwrnF2jaWUOyhJ/tuV/Y7/nzXrNVBbFUhnnZ1PY1uGGxST+DFzRPogNtm14ZOJXKzoXQiZK7xlnu2jbU1wB0aVUfDuCKJZKKKfCsu+ZK7t2AABOzq6M0dR0ZgTdjn5ZY11WEywmA0VwCYIg1gir3SboPwE8DmA7Y2yMMfZuxtj7GGPvqwy5HcCLjLHnAdwN4G2cXBwIoiahRA6hRG61pyEPtQLX4hLplysdwZ0dAmyexQ6xrg4x/9mzKJfLmEhOw2NXbkzvc1gQW2GDmouRDPLFMjZ3uBY9/tINr8B07hzOhcdWbC6ETDIRkRbfzMRJYj7bYQV8HFX0tM4Vy7AXo7JN2bpdbbAaXBiJD6ubowLCmTgSxRAGPY3bF0kwxhBwWiiCSxAEsUZYbRflt3POuznnZs55L+f8q5zzL3HOv1R5/guc812c832c82s558u9rwmCAACEkjmEkpeQwGVMOKoqYTVaBZVLQOQCENy6qC0QGAP8g0BsFOPxGXxz/N14Oqy8ybnPbkahxJFcwT7GF2aTsJgM6PMvFks3Db4UAPDL8/RRu+ZQWrMupQuvRN/o1CxgcYgvOTgCyBZKsBVisttqGQwGtFl7MZFufY34sWkRJd4e2CL7GL/DgmiaBC5BEKuH0WjE/v37sXv3brz+9a9HNBpd7Skp5hOf+AQ+85nPaD7Pmk5RJghinZKJiH6eRhWtuFda4CYmgVIR8A8sf84/ABTzOH3xaQDAJl+NMU2QIlhSm6GVYDySQbfXBpNx8Z+Aa3p2w2pw46mpp1ZsLoRMlApcu19swqxIBHdWfvQWAIxmpGGDtZiAV0FbrW5HH0LZ1mcXnKg4KO9u0r6oGq/djGSuiGJpFRzeCYIgANjtdhw9ehQvvvgiAoEA7rnnntWeEgDRtWGlHPAlSOASBLHyqHFQlrAHKo6yK/RhGb0ovnt7lz/nEzV6wzMvAAC2BTYqPr1Ugyi1GWo12UIJs8k8enzLU12NBiM2u/fiTOz5FZkLIZNSURg5KblnjGbA6llIH24VSh2UK8ThhpclYTXJ74O9J3gAHeYdSOdbGyk9Gz0HA0zY2Sb/fvbazeAciGdXLhODIAiiHocPH8b4+DgA4Ny5c3j1q1+NgwcP4vrrr8epU6cAANPT07jtttuwb98+7Nu3D489JrK3Pve5z2H37t3YvXs3Pv/5zwMA/uqv/gpf/OIX58//iU98Ap/97GcBAH//93+Pq666Cnv37sXHP/5xAMDw8DCuuOIKfOADH8CBAwdw8eLFmuMA4FOf+hS2b9+Om2++GadPn9bl9asInxAEQWgkEwWC8tP/FmH3i7ThXByw+/ScVW1iYyLd0+Jc/pzFCdh9mJw4CoBhS6CGCG6C22qC0cBWLII7Hs0AADbUELgAsCuwGydiv8dkYhbdbjKtXxNkY0JIqnEdb3WKcj4FFHPyHZQrRLkDPijLxHjD5jeCJa9GIluGCj832YwmLiBg2QCLSX50WcrEiGUKsp2hCYJYv/zpz/9U9bFfe/XXNF27VCrhoYcewrvf/W4AwHvf+1586UtfwtatW/Hkk0/iAx/4AH7961/jQx/6EG644Qbcf//9KJVKSCaTeOaZZ/C1r30NTz75JDjnuOaaa3DDDTfgbW97Gz784Q/jAx/4AADgO9/5Dn7+85/jwQcfxNDQEJ566ilwzvGGN7wBjzzyCPr7+3H69Gl87Wtfwxe/+MW645xOJ+677z4899xzKBaLOHDgAA4ePKjp9QMkcAliXXDHvY8jnSvCYZVxS6fDwPmHRU/Xza8QqcIrSakoFsU2r7rjpeOyUcDuQ7nM8dRwGA+PPoregAl/tPdW3aYKzoHYRaDjivpj3F2YyU7BZQzAYbEpvoSh0js3nl0ZgTsRzcBoYOjy1p7rga69+O4F4LGLR/HmnTevyJyIJqg1ZXMEgakXxPuYyW9fpQiVc4tyJzpZVnweyCxVkLIdIuk8Oj3K7zW5hLLj6LA3739bjde+IHAJgiBWg0wmg/3792N4eBgHDx7EK1/5SiSTSTz22GN4y1veMj8ulxN+Lb/+9a/xjW98A4Co3/V6vfjd736H2267DU6n2NR/05vehEcffRQf+tCHMDMzg4mJCYRCIfj9fvT39+Puu+/Ggw8+iCuvvBIAkEwmMTQ0hP7+fgwMDODaa68FADz44IM1xyUSCdx2221wOISHwxve8AZdfhYkcAlinWA2GtDusjYeVC4Bx74H5BOixU16DjjwLsCwgtUKubj4blPZ1mhe4MYAAM+ORvD4uTlcyAzhWyPfRKerHa/cdI0OE4VIvSzmaqcnS7g3YKYYhd/arvoyHpt5xRbGE9EMOj1WmI21f+eH+/YBjzM8N3OMBO5aQXVbrYBoE5RPtm4jS8XcCqUywmUnbCYm7mOnvOivz24GY0C4hW7FpXIJ0fwU9gcPKzrOYTHCYjKQ0RRBEAC0R2HVINXgxmIx3Hrrrbjnnnvwrne9Cz6fD0ePHpV1jkYdHW6//XZ873vfw9TUFN72trfNj/+bv/kb3HnnnYvGDg8Pz4vkRuM+//nPg7VgA5ZqcAlinWA2GdDubiJwx54WonbnHwDbXwckpkWEZyXJRsV3LRFcJhbGqVwRT5yfw+YOF/5/r3w/XMYA/v7Ip/UzM0hMiu/u7vpj3F0I8Qw6zSpfD0T0J74CArdc5gglcg2jX0G7FwFzD85ETrZ8PoRMMhHAZAHMMl2KJRxS3+gWpilnIgAzKLqfY5kCsiY3bGbjwueBDExGAzw2c0vT+aeTMXRZd+GKQIOsjRowxvB86tv47vkvt2hmBEEQ8vB6vbj77rvxmc98Bna7HRs3bsR3v/tdAEJoPv+88Nm46aab8M///M8ARFpzPB7Hy172MvzgBz9AOp1GKpXC/fffj+uvvx4A8La3vQ333Xcfvve97+H2228HALzqVa/Cv/7rvyKZTAIAxsfHMTMzs2xO9ca97GUvw/33349MJoNEIoEf/1h5N4pakMAliMsFzoGJ5wBfHxDcLNJu3V3A2BHx3EpRibyqFrgGo4hGZaI4ORlHocRx3eYgfHYX3rb13ZjMnsFDw0f0mWtyRqRP2gN1hxRsfoR5FhvMrrpjmuGxm5HOl5AvttY4aywWRiQ30zTS3+PchMnMcEvnQihAMmVTuss93yqohUZTmYjIxjDIN4uKpgvImTxC4Cp0RPc7za2N4BZteFXwf+E1G1+r+NhoYQQnoo+3YFYEQRDKuPLKK7Fv3z7cd999+Na3voWvfvWr2LdvH3bt2oUf/vCHAIB//Md/xG9+8xvs2bMHBw8exPHjx3HgwAG8613vwtVXX41rrrkGf/7nfz6fVrxr1y4kEgn09PSgu1ts/N9yyy14xzvegcOHD2PPnj24/fbbkUgkls2n3rgDBw7gjjvuwP79+/HmN795XkxrhVKUCeJyIXZRLCYHrxP/Zwzo3gec+YWIVHo2rMw8snER8bFoSJm0+YBsDCdicWzw2RCsCLZ37r0NXz99N+47+T190pSTU4Crs2EK93AmhhLj6DfWNm2Sg8cuPorj2QLamqWZa+DnF36N78x8Erfw+wDU32C4ccPr8OzEBRRK5bqpzMQKkokA7k7lx1k9YoOmla2CVDiixzJ5FAx2WC02YTinAL/DgvFIDJzzlqS1SaUCStoXSXQ5ezCUeAblchmGlSz7IAiCAOajoxLV0dCf//zny8Z3dnbOi91qPvKRj+AjH/lIzWscO3Zs2WN33XUX7rrrrmWPv/jii7LGfexjH8PHPvaxmtdTC30CE8TlwuyQiLK0bV94rGOneCx0auXmkY2JCKyWBaDNi0wijLlkHtu7Fmp5fXYX9vpfiqPhR5Evakxj5BxITguB24Bz4VEAQB9T/3okg5pWpymfmD0JIyzY39W4v+fL+6/HdscrEWlhpIyQCeeibt3mU34sY0J8plvUN5pzVQI3ninCajHC7PQrSlEGhMAtlDiSuda044mmCzAaGNxyDPuW0OfuQ5HnMRqfbsHMCIIgCLmQwCWIdcC37zyMnd1NTJvC5wFvn6jlkzDbxGNz51o7wWqyMfXpyRI2L6LRCBgvYjC4uC7x5f03Il9O4TcjT2u7RiYiDHqaCNyR2AQAYCOgOtXbY6sI3Bb30DwXP4MO2yCsTdqfSBHx2SQJ3FUnnxTmcGpN2ewBxWnAsilkhAmbQoH7o5Fv4ETqh0K0K5yb1I6nVXW40UweXrsZBoPy6PAmr+iLfWZuRO9pEQRBEAoggUsQ64RQIodQIlf7yWxcOAIHNi1/LrhZPKcwVVA1eghcuw+xdA4d5tx86xCJW7fcAAYjfnnhYW3XSFaiMO6uhsPGEmMAgH6zTbWQcFiMMBtZS52Uy+UyJjJnMeje2nSsz26G0cAwl6rzfiJWjmzFddyq8p6xV6KkehmvVSNFXxUK3Bcij2Aqd0L0sc5GFW0MSfd7q+6VaLown1GhlK2BQQDAuQgJXIK4HGnkQEyoR83PlQQuQawTQskcQsk6giQmRBh8/cuf828U36OjrZlYNeWSiEipjUZV4FYPEtki+p3LI55tTh967dvxYvhZTddAalakeDraGg6bTE3CafDAaTSrNvNhjCHKT+Kpqd+pOl4Oo/Fp5MspbPU3F7gGA0PAacEcRXBXH61ttex+cd/lYvrNSUJl+6JYYRZt9k7A5l/oiy0Tt9UEo4Eh0oJ2PJxzxDIFVfW3ALAt2A+AYSwxru/ECIJY89hsNszNzZHI1RnOOebm5mCzKet9TiZTBHE5EJ8QZjOujuXPOdsAkxWIjwPde1s7j1xcRGs0RnAjZQeKZY4uS6bm8zv8e/HQxPeQyKXhtipsrSKRnhPzNDb+mAxlpuCzVKK8qRDQ1lxA1uLZ2A8Qz4fxUdym6vhmvDgzBADYKm1oNCHotGAilm3JXAgF5CpulFaVAtdRcQBXUSvblExEbAIpqA+OZpLIlRPocnYviPZcHLDKcyE3GBi89ta0CpKczH0qI7g2swVOow9T6UmdZ0YQxFqnt7cXY2NjCIVCqz2VdYfNZkNvb6+iY0jgEsTlQHxM9HKt1cqDMcDbuxDlbSVaWwRVmMiYwJkBHebaAuxg15X45cR9eGzsebxq82F1F0nPLbRZaYCZudDh6gEsTk21jp32boykTqg+vhlnwucBALs65Alwn8OC09MJFEtlmMhJefXIxkXdvEmlu7YkaltRh5uJCMO4JptA1ZyPiM+ZHlf3gmjPxhW5uPscZkRbkKIsnXNp2YMSfJZOzGbIZIogLjfMZjM2bpS3gUy0Hlq1EMR6p1wS/VwbLSA9PSIlt1A7IqobOgnc6UQeJYsbbqRrPn/jwCEAwBPjz6i7AOeitUqD/rdiGMfLfP8df7LtIyJSllbfjmWDawPy5RRCqdYYAl2IXYCJWbHJJ09I+J1mcN66WkdCJrmYEIJqW+JYXIDR3Bon5UxEsbvzcEyk7/Z7exYiuFll6dM+hwWxdF73VMBYJSqsNoILAEFrJyJ5ErgEQRCrCQlcglgH3HHv40jXa5uRnhMit5EbsLeS+hGf0H9y1WTjYqGuNt2ywmwyB6vLD1anxUiPpwN+cw9enDuq7gK5uKgNdDQWuKl8CaUyFy7Idr+mKFm/R/wOhsKtqYUeS40iYOmBsVYUvwY+u4hiRVrkVkvIJBvXdr9IrYJaFcFVmPZ8sfIZs9HXA5hsIjot1RnLxGc3t6RVUDSTB2OAR4PA7XB0IV4IodwKUy+CIAhCFqsqcBlj/8oYm2GMvVjnecYYu5sxdpYx9gJj7MBKz5EgLhXMRgPaXTXSGJMz4ruzRv2thGeDWAjHW2yOko2JiJJMkVULzjlmk3nYPMGGkZ/Nnl0YSZ5St9CUzKKapChLfWvdNpNY6OdTom2KCjZVDMDORy6qOr4ZM5lRdDtqmIzVQWrHEsuQ0dSqkotrNmVricAt5oB8WrHAnUhOgsGAQW/3wmaXwggujAk8n/gvvDB9RtlxTYilC/DYhIO4Wja4ulFCAWMJqsMjCIJYLVY7gvt1AK9u8PxrAGytfL0XwD+vwJwI4pLEbDKg3V1D4KZmhKBsFI00moWYk8Rwq9ChRdD58CSORL6HjM0gFtjF2gJsR+AKGJkF0ykV7rFSqnETgZuo9K312M0L6cwq2y1tCQjxOdqCTYZELo14MYQ+14DsY2xmI2xmY8v6jRIyKBXEe1xjxkNLWgWpdFCeTk/BafTDIvVitnkVR3CtljKeSXwLz0w9p+i4ZkQzhfmNHbX0ukUJwIXICngaEARBEDVZVYHLOX8EQKOitTcC+AYXPAHAxxjrXpnZEcQ6IRkSQq1Z1NTVudD7tVXoIHCfmHgOzyS+hbzDsHDOGrxjx9vx1s4vIZtTYRiTnhOpkxZnw2HxrBB/8ynKgKjdVUGn0w8zs2M8pb/APRG6AIBji79GH+QG+B1mSlFeTSQHZa0RXEdA/1ZB0kaOQoE7m52Gz1KVTaIigrvZ1wMDTBiO69tvVksPXIlBbw8AYCRGrYIIgiBWi9WO4DajB0B1vt5Y5bFlMMbeyxh7mjH2NFl0E0QVqZna7YGW4uoU9X752sZNmimXxYJd42L9xOxpAAx7N+wXD9RZHHd4RM+0mbiKVjfpsNgUaGLsE88UYLcYYTEZNLvVGgwG+CydmE7rXwd9cu4sAGBH22ZFx/kcZkRb0G+UkIn03tYjggvom6Y8H8H1KTosmp9B0FblB2DzAoVs3UyMWphNJvjMXZhI6ZfOny2UkC2UNEdwNwf6AAAXEy32MyAIgiDqstYFbq3VZU3bRM75lznnhzjnh9rb21s8LYK4RMingVyycf2thCSCWxXFzScAXtaeohwfgt/cDa+3ksxRR+BaTUb4HGaEkipqYmW2CIpnRc0eABHxtbo0iYigtQtz2SnVx9fjbES0CNrdrkzgeu0WJHNFFEtkmLMqSKm7etTgAvo6KWciIsNBQfuiUrmERHEWHfauhQere+EqoMPeg5mMflHS07OjOJH6Gbghqek8bXYv3tjxKez13aTTzAiCIAilrHWBOwagr+r/vQBoW5QglvDtOw9jZ3eNRXB6Vnx3tjU/ieSy3Ko6XL164KaG0e3YKBbXRhOQrb9ob3dbEUooFLjFvIg0yxC4iWxRGExJ2HyaBG6XYwOihWndHVgt8GGL8yXw2lyKjvM5qFXQqqKT6/h8qyC9I7gK05PH4yGUUUS3q6rSyKquVVC3sw+RwgRK5ZKi4+pxZOpZPBH7F3BDQtN5DAYDtvv2gpcalzcQBEEQrWOtC9wfAfiTipvytQBinPPJ1Z4UQaxFQonccjEn0ywJAGBxAFZ36yK48wLXp/oU+WIB0cKUMEtiTJyrwcK43WVFNF1ArqhgESzV0MrogRvPFBa3FLF5hShRSY+rB0WexWRyVvU5arHFfhP+eNP/UnxcsjyNn899Ek9MPK3rfAiZ5OJiI0eD6ziA1rQKUiFwz0dFxLXXXSVwVfbCHXD3o8jzGInqk/EwHBPtuba3DWo+l9tmRiJLm0IEQRCrxWq3CfpPAI8D2M4YG2OMvZsx9j7G2PsqQx4AcB7AWQBfAfCBVZoqQax5Qsnc8nTcTBgwmORHgFwdQKpFNeyS8NMQjRoKj6KMIga9FTdgm7eha3FbxVU6nFJQRyqzRVCmUEKhxOFZFMH1iuivygjsgFckrAyF9ast5Jwjks7D71RuthWw2zGRex6nw0O6zYdQgNYeuNXY/aoN0JZRKoj3ucL625GYcBaWjJgAABY3wAyKU5S3+DcCAE7Onld0XD3GkxfhMgbhsWqPvLptpnmHdYIgCGLlMTUf0jo4529v8jwH8BcrNB2CWH+kw2IRapC5l+UIApERIdDkHiOXbGwhrVgl0mJ2W6DiBmzzAbH67TiCFVE3l8yj22uXd5H03ELEqwHxTFWLIAmbV9QZ5+KKF/9AdS/cUdw4eFDx8bVI5UvIF8vwO5QL3H5PFwwwYSJJiTOrQi4uzyBODnY/MHdWn3tbpYNyv2MPXhn4/+KKtio3b4NBZI4ozHzY3iYE7tnIMIDrFR1bi+n0OILWDZrPA4gIbqZy31lMaz1RjiAIYv1Bn7wEsZ7JRBr3v12Ksw0oF0XPTL3RoUXQ2cgFAMCudkngeoFiDihkao732MwwGZjyCK7N11SISymI7qURXEBxuqXEtmClF25Cvx6akcprD6gQuGaTCW5zG6Za4OxMNIFzfSO4erYKUtkDl5Vd2Oy6Cl7bkiipzaM4giu1ChqJjyo6rh5z+Ql0OXp1OZfHLj4TKE2ZIAhidVjVCC5BEC2kXBYL0eAW+cc4KmZUqVllwlgO2Rjg7mo+rgEj8RFYDE50uyrzrBaU5uURWoOBwe+0KBS4YVmvfVEPXAmNAtdvd+OA983osCj4nTVBeu1+p7r2JwFLF2Zb4Ox8SVDMAyO/ExsoAy9RLOg0UUiLzSaNm0LzVOY+MnYRL2ay2NzhxI4uleJZ2gBT+POQTNnY0vZbVg8QU5aWbzaZ4LN0YVxLq6DweWDyBcQcHUiXouh16yNw3ZXPhES2iKBLvsu0VtL5Ip48HwYHx7WbgnBYaIlHEMTlCX36EcQ64I57H0c6V4TDWnVL52IiYqM0ggtU3Je36TdBzkWEpl3bOSdSF9Fm6YFBSrGU0oAz0briOei0YDxaO8Jbc56ZMOAfaDo0ninCajbAZq4yALJ5RXqzSoELAK/q/jPYzPol14TTeVhMBris6j7uO+zdOBZ5Qrf5XFKc/ikQOi1MniLDwFXvEe2gVgIdatYXYfcjling98fOIeJ34Mx0AgbGsK3TrfxcmQhgttXcVGrEMtdxCZsHmEkqTp/usPVgJqMy2yE2DrzwXcBgxIULjwLAQm2/RqTXuJJ1uOUyxw+PTswbDU7GsnjbVf0wGhr38iYIgliPUIoyQawTzEYD2qujBWl5bsCLMFnFYjOlr4sv8kkhtjVGo0K5cXQ5qjqHyYiYBl1WJLJFeU7K2RhQKspynT46+zTSWJIeaTCKliwaBK7XbkZcx7Y80XQePod5edRMJt3ObqRLESRyad3mdEkQGQZmTgGDLwX2vV0IzpHfr9z1c5V2NVp74FYom5w4F86jzZjCn1+/ER0eK357OoR8UYUhWiaiyg09kS3Aba2RSSDVrueVtejZ4OxHtDCpvFUQ58DQL4Rz/OEPYsgoNi22ePSpwXVZTDAwNp/lsRK8OBHDVCyLW3Z14jW7uzATz+H0lLaWRwRBEJcqJHAJYp1gNhnQ7q4SuCrr5OBoW+ifqxc6tAhK5TNIFEPocVUJXLNdiPIGgjJQMZqKpGQsNmU6KAPAjy5+EU9G/nP5EzavJoHrsZsQzxYhPPa0E04VVNXfSkhpm+ci+tUFXxKMPS0EUN+1gLcX6LgCmHhOOAivBDl9I7ijkQwiZSd2+0uwmox42dZ2JHNFnJlWIYKU1vYDKJTKSOdLtSO4871wldXh9rv7UOR5DEcVmqBFR4HENLDxZYDZhtNmEcXeVdZnE8dgYHBajSsWweWc47nRKLq8NmzvdGNLhwttbiueGQnr9jlCEARxKUEClyDWK5moMEqyKGx74QwCqTnVrW5qMi9w1UdwRescjn533+InbN6GpljzTsqpXN0x88xvCjRevJfLZcQKM+h0dC9/UqPA9drNKJU5kjnti+NCqYxEtqCqRZDEoE8I3PMR/VoXrXnyKWDuHNC5e8FsrOeAMDSbObkyc8jGxLUVpgHX4/hEHGW7D51mka7f67fDZInhm8fvU3aicknMTeHGWbIi9ty2GhFcSeCqbBV0avaCouMweVRsjHXsBAAM56LwwAZ/dFjZeRrgWcFeuOPRDMKpPPb2esEYA2MM+3t9mE3ml7eOIwiCuAwggUsQ65VsVERMlaamOtv1d1KWBJ+GaNS5sEgH3uhfInDtvoaC0mtX4KScnhML3yabAqF0FAWewQZnz/InNfbClUyrYjqkKUfSeXC+EMVWw5bKz3ukQTumdcfcWZEy27l74TFvn3ivhU6tzBxyccDqVX7/1qBYKmN4LoW29i4YczGgXAZjDGH2JB6Y/IKyvsuZqEjxVWEwBaB+DS6wkJYtk/1dO/ES751wGWpsNNWjVARmh0RE3ijutan0GILmDiA+oTiKXI+V7IU7NJ2E2bi4nnpzhxOMAWdnkisyB4IgiLUECVyCWK9kY+pSgiUnZSldV6+5WByaDHoClj68xHsndi81qpIiuHVS8QwGhoxhGI9NPNr8Iuk5kZ7cRFQMVcR2v6eOwJV64arAW+mrK/XZ1UI0LUSyz6HOQRmo6oWbuoxaBYXPA1bX4h60jAHBraJPdFGBK7dasnHRH1YHJmNZ5ItltHV0V96bYkPo9VtuBgD86PSv5J9MZelDTddxCZO1Umqg7J7p87Rjl/tVMHAFmSHREZFm3rbwOTKXm0C7c2PlP2cVzaEebpsZyZx+pQb14JzjXCiJvoADZuPCks5hMWGq/Ft89ujHWnp9giCItQgJXIJYB3z7zsPY2V0VHeW8EsFVkRIs1Z/qLXA1GkyZeAC73K/CBveS9GGbX0Rl8qm6xz6f+CF+PPbPzS8iCdwmXIiKiNdGX9/yJzW2ChJtVPSJ4IZTeTAG+DXU4M73wk0prHO8VCmXhcFUYNPyjY7gZpHdEB1p/Txycd0MpobnUjAaGDo7Kk7jFQO6/V3b4DV34bFJGZs/EjLT+JeSyBbBGOC0GmsPUNEL12Bg8DnMiKQV3Ctz50Tqt084JsdzKSRLc9jg3SI2FKL69NV12UwolTlSeYUGWAqZS+WRyBaxud217DmTJYkzyccxk4q0dA4EQRBrDRK4BLFOCCVy8y0iUMyKKJMaUWm2iRTdNSZw45kiPLV6aM4LymjdYwfcGxErTjd2Ai7mgFxSlnnOaHwcALAl0EDgqozgmoyipY8eDqyRVB5um3lRZEcNfkvn5dMLNxUCCtl5AbQIbx9gMOkmgupSKor3ok4GU2ORDLo8NljcleyMTBQAYDAYsMt3CMPJ4ygUZWYMZMIi2qq4RVABTosJpnrvRau62nWv3YxYWkFEPTYqfo+V2uqToWEAwEbvAODrE79bHaKuC62CWluH+8vzj+Fc+lH0+G3Lnruu92oAHA9duEzbfBEEcdlCApcg1gmhZG7BUERaKEp9YpXibNOvVRDnIvVQq8DNFuCx12kxAjRcHG/xbQLAcTx0vv4FpLZKMiK4k6kJmJkd7Q7f8ieltFINtXwem1mfCG46j4BTfXqyRNDagWg+pPk8lwTxSq2xt0b6udEEeLqBWIsNt/L6tQgqlsoIJXLo9lU2rozmhSgsgINdB5DnaRyZPC7vhJmISE9WWBucyBbhqlV/K6EiggsAPocF0XRBXipwISM+17wLG1Os7MBVnj/Boa59gK9fZIJktEc848VJ3Df1Hvxy+Jeaz9WInwx/H88kvglvjdTvG/oPwggLnpg40tI5EARBrDVI4BLEekSra7EjKCK4etSP5VMirdOqTeDGMoX5+tRFSK+xEpWqxRXtWwAAJ0JD9S+goEXQdHoSPnMnDIYaH6FGs4huKTTMqcajQy/ccrmMX0x8DZGS9prCDkcnUqWw/CjfpUx8QtSL16tf9/aKFjOtrMOVNkd0iOA+MvosfjrzCZSM00KU2v0iClvhxoFrAACPXpQpgiSBq5BEtlDbYErC6hGRc4U/V7/DjKJc1/HYuPhM8/bOP2Qoe7HH9UZsbx8ApJr6hPZ0/B5PG9LlMC4mWle7Xi6XcS5+DFs8e2t+FjksNnTZN+FsbIWcvwmCINYIJHAJYj0iiT0tAreYa1jXKhsdWgTli2Vk8qXaEVyTRQiSBhHc3e2bATAMRc7Vv0h6DmAGWcZcc7kpBG2d9QdY3RoFrgnJXBGlsvoNhuHoJJ6Lfx+RgsIWKjV43eCb8aaOf0S60Np6wjVBfEIInXoRSm+fMGpqoXCZj2RqzHoAgMfGj2Ai/wI2BdvFA3b/ogjltmA/XMY2vBA62vxkUosghT1wORcCtGaLIAkp80FhFNdnF/XlUTl1uLGLgMEIeDbMPxRNF+CwGGE1GcXnnsEEJLSn47fZvTAzG6ZSrUvtPz03ilQpjH3tV9Yds9G9DZOZcyiVL4N7lyAIogIJXIJYj2Rjqurk5pEWsGkd0pR1ELgNHVgBIUob1OC6rQ54TZ0YTQ7Xv0gmLOZobBBlglisx/Iz6HBsqD/I6pl3qlWD124G59rq914MicjttuBm1eeQ6PN0wWvagHRex97Ia5FiXog/d1f9MZL4jbYwTXk+gqvdRXkocgZOYwD93sqGjCMgNsCq2lht8ezBucQLKDdrbZWNqWoRlC2UUSjxxhFcm7peuN6KQ7g8gTsmfrfGhc+RSDq/4DJuMAKudiA5rWgOtTAYDPCY2xHKtE7g/nbkKQDA9X1X1x2zM7gTBZ7B8RntG10EQRCXCiRwCWIdcMe9jyNdnaKn1dRJz1ZBOghcqR61ZoqydO4mBjWd9j5Mphu438p0UJ5NR5HnaXQ7G/TetHm0RXBt2lsFnQmLeuPdHVtUn0NCirytVF/PVSMVEgLO2VF/jNkm3ic6RPnqkouLrASj9vrpsdQ5dDs2LTxg94sIdNWG0N72fUiVIhiJN3lNUp26QoF7dPo4vj/zIYxnTtQfJKVjK6xd99hMMBkYopkmqc3lMpCcWhS9BaTShyqXcVeX+N3qUJ7ht3RgLjej+Tz1ODb3IszMhkMbdtQdc6BL9HJ+evJYy+ZBEASx1iCBSxDrBLPRgHaXVfxHbYsgCatbLK7T4eZjm5GNiUiyhh64Uj2qx14nAmT3iYVxgwhUr2sQ4dxE7TpSzoF0RFbq5XwPXHcNEyIJq1tVPaGEFJXSYjR1IX4BZmbDgKdBNFImC46w613gVsSIq73xOHeXEEutIhvXpf42W8xjNncRmzxbFx6UxGlVmvL+TiGCnhh7vvEJVfbAPR+9iFhxHD6bo/4gq1tExhVGcBlj8MppFZSeE+7UroX7oVAqI5Etwl/dJ9rdKcozGmSEyKXN3olYvnUC93zsFLrtm2E01Gm9BOBg9xUwwIQXZxtsLhAEQawzVlXgMsZezRg7zRg7yxj76xrP38gYizHGjla+/nY15kkQlwJmkwHtbutCD1y1DsqAWGhKRlNa0aFFUCxTgNnIYDfX66HpFVGpBovjzb5NKCGPoXCN1NJsTBhhyeqBK1x2a/bAlZivJ1QXxXVZTDgS/zoeHP2JquMBYDw5gqC1r7YRlkKsJgPMRibPyOdSJhkSGzHN6rBdXaKNj4YofUN06oH7/NQQyihiR2DbwoNS/9oqU7aruncBYDgWaiKCMhHx8zE3EKo1GKvUK2/yN9gUMhgBi0uV+7isVkHShkRV+rm0geRzLIngAsJITCOdji5kyjGk8hnN51pKoVjEVPY8Nnq2NRxnM1vQbh3A2dgp3edAEASxVlk1gcsYMwK4B8BrAOwE8HbG2M4aQx/lnO+vfH1yRSdJEJcihbSIVMgwS2qIXq2CdBC4iWwRHrt5eQ9cCem1NkhT3hEUqbrHZ2u4Cs87KMvpgSsE7pZAf/1BVnX1hBIGA8No9giem1Xfv3ImexHdjgYiXAGMMbht5pb39Fx1UjOAs715Cxx3pZ412YLoHOfifazRdRwAnp8RgnV/5xULD863ClrIzvDZXQiYezAUbSKCMhEhkBW2CJpMTsIIC7pdbY0HqmwV5JfTKigxLerr7Qv3uFS366uO4DrbxOtLaW+LtcElyhguRPU3JDs2cxZFnsPOYK1l02L6XJsxnW1QnkEQBLHOWM0I7tUAznLOz3PO8wDuA/DGVZwPQawPpKiSVoMaR1Ccq5hTfw5psa6DwG1sUCP1wo3WHbKnQ6Rpng7XErjye+B6jBuww3kTOp0N0jQ1RnABIGjtRiijbmEcz6WQKIYw4B5Uff2luKwmJNdzijLnQrA2qr+VcFUEbivqcItZoFTQJYJ7au4MDDBhT2dVivJ8q6DFvV77XVsxlmrQRguo1Kkrc1AGgFBmBh5ze/NsAqtHVQTXV2kVlGiUYZCcEr+3qjlEKlHfRQLXaBafJzpkr/RX6n0vRMc1n2spT0+JmtqDXXuajh30bES6FEEopb2/L0EQxKXAagrcHgDVuYJjlceWcpgx9jxj7GeMsV31TsYYey9j7GnG2NOhkPadV4K4ZNFT4ALa6nClHrgao8nJXAEuawPDHZtPtPjJ1F/AdbuDsBu8GI7VcBNNzwnzIBmpl332g3hDz4cbL9Y1RnABoMvZg7m8un6cL84IEb/Zv6nJSPm4bKb1naIsbeY0q78FhEO5I6BLv9Rl6NgDdyRxDkFrL2xL698dgWX3yvbAFUiW5jAWrxOVLuYrLYKaRGFrMJebht8iY+NAaq+l0OBJahUUq1eHy7nYjHAtrkefS+bhtplEi6BqdCrPGPSJJc1oXH+Be3z2JIyw4MquxinKALAtIJzUj8002cAgCIJYJ6ymwK2V47T0r9qzAAY45/sA/BOAH9Q7Gef8y5zzQ5zzQ+3tMhYoBLGO+Padh7Gze4kLqdYF8rzA1bDQ06GfZ6nMkc6X4LI2iOAaDKLmuIkYb7f1YiJVI1VPclCWkXoZzxRq9+OtxmgSLrgaIrgD7kHkyglMJpT//E/Oin6/VwS1OyhLuCsCt6yhN++aZj5NvXkUHwDg6tAljXUZ0ntGhwjudPYiuu0Dy5+w+5e1Cnr1wC14VeBvkcnWuc+kn49TucCN5mcQtMkQuDav2BArpBWdv2mroExERMVdi+cQTuURcNYwv3MExGdJs7ZJTdjoExHcyRYYkg3Hz6Ld1g+LqbnT9q42EcE/OdegDzhBEMQ6oqnAZYw5GGP/izH2lcr/tzLGbtXh2mMAqgvEegEsysfjnMc558nKvx8AYGaMKf/rShCXAaFEDqFETohKg1HU2mnB7hdRUS29cHVoEZTMFsE5GqcoA6K2LtNY4PY4BzGTu7i8Vi89K1vYxLOF+v14q5GiUSrZ7BPCRBKrShiKnAWDAXs6tPfAlXBbRW/eZH6dRnGl945dZgqus12IRJVO2XWR+idr3KDKFvKIF2bQ66pRK16jVdDOzgH02PYhka2zySN9DsjdAKiaR6oUQadDhpu3hlZBvwr/H3x76Ou1B0gbX1XinHOOSLqewG0TQltDL2sAcFrscBh9mErpH+mfzo6gx7FR1tgdbQMwwISRWAt7NxMEQawh5ERwvwYgB+Bw5f9jAP5fHa59BMBWxthGxpgFwNsA/Kh6AGOsi1VcZRhjV1fmq4OtK0GsP0LJHELJisCVWm5owWAUC2EtEdx5gat+sf7s9Av42ewnMJdvYpLiqNQVNkhvvK77Fdjrug2JXFVdcSED5NOyUi+zhRJyhXL9dkXVWD1Ne/M24oo2IU5Pz9VIqW7CaOwsvOZOOCw21ddfiquywbAadbixbBLTSR1aVjUiHRGRd7mp/c5KppAeTuPVZPXZoDo5ewEcZWzy1RBB807KC2nKDosJdosRc8k6gj09Jza8FLYIEgZLfN5wqSE2dan9jDGkyjM4E6vjAj0vzhfu8Xi2iHyxjKDTuny8HuUZFTzmdsxmtTsyVzObiiJVCmOjV14JgsVkxl9s/iauC/6hrvMgCIJYq8gRuJs5558GUAAAznkGtdOLFcE5LwL4IIBfADgJ4Duc8+OMsfcxxt5XGXY7gBcZY88DuBvA23hDm0SCIJBLaK+/lZBS9dSSiVZ64NZYRMrkbOQCJvPH4LY26aNrDwj36AZR0xv6rsMe1xsRz1SlHqbkR6bm+/HKiuB6NEVwt7UNgMGA4ZgC91POgVM/RSR+DJvKBn36GFdYrV64vx85gZd/5xV45fdfjv/zu3tbd6FMWJlDsCRw9U5TzlV64GrcoDo5ex4AsD1YQwTV6IULAEGnBXPJOqZyqVnxedCg52otLkSE63i/p0GLIAmVEVwAaLf1IJQZq/1kahawukSdfYVwSgh5v7PGvaxHeUaFoLUD0by+75EXZs4AWKitlcMGTwCRlM7ZBgRBEGsUOQI3zxizo1IfyxjbDBHR1Qzn/AHO+TbO+WbO+acqj32Jc/6lyr+/wDnfxTnfxzm/lnP+mB7XJYh1ja4CNygWweWSuuMzEcURn6VI9Wub/L2NB84v2uuLOn8lHTGSqqrVm68tbC5woxWB63XITFEu5lS7UNtMFnjNnRhLjso/aPIoCuPPYRJpbDR5gJM/VmzYUw+pBjqZW7lWQel8ES8OW/G67o9gm+cq/Oe5e/DYxedbdLGwModgmw8wmPQXuNm4LvfvuagQuLvaawjc+VZBiwVum8uKuVS+drsdqU5dIaNxUXk0UKlHbYjZLqLoKlKDe5x9iOSnUKr1WZWeXZahIQncmhFci0N86dAmrd3ehWQxgrLGet5qHKwbL/f/f3BtzwHZxwQcFsQyRZTWaw09QRBEFXIE7scB/BxAH2PsWwAeAvCXLZ0VQRDqySV0cWAFIGrWyiURiVWDDgJ3Oj0Ni8EJn93VeKAkThpELT02E8xGhnC6KpKRnhWLahlOz/N9M+1NoslAVbql+ihuu60X0/WiUkspl4Dh32HI7EAJZfR0XgXEJ4C5Gm2RVGA1GWAxGVY0gnt0NIpMoYQPXXsb/vmWv4fV4MTnjtyt/4VKRVGPKrf+FhDGZs6gPr2iq9GhrRYAjCZGYTd40V6rnRVjNbMzgi4L8sUy4kt/x6WiuJdVGEyNJ4WD8OZmG1TSvKxeVRHcAc8ASsjjbHjJ/cK5+B0tmft/nPkKnoh/CXZLnYi03d+w7Zhc3rH1fXhH59eQL+knLPN5G7Y6X4IBrwzjrgpehxllztd/L2uCIAjIELic818CeBOAdwH4TwCHOOcPt3ZaBEEo4Y57H0c6VxSLuXJJP4GrJVWvVBTplhoFbigzDa9JhjO61SOEaoMILmMMPocF4VRVVDU1Jzs1NZrOw2k1wmKSsTc43wtXfaugHmcf5vLj8qI/oVNALgm0vQQ3+j+Ca3bcLtIyJ/WJeDLG4LaZ5tO0W02xVMYL4zFsaneh3W1Fu9OPm3vehNOJIzgf1rntSjYq7h2lEUpnu74R3HIJyCd1cVC+qf39eO/mf6o/wNkOpBa3BAq6RDRzWZpyJqzu5wNgKj0Fu8ELt7V5Cy4Aqs3ZdrVvBwAcnTq5+IlcXDgoL5n7icgRpMoN3I1tPvUbe1W0OZ1gzIC4jsIynMrD77TAYJCfxu61N3GaJgiCWEfUXaUxxg5IXwAGAExCuBz3Vx4jCGINYTYa0O6smB/pmaIMqBO42ZhYFGsUuOHcDHxWGQKXsYopVv1euICoMwwvTVGWGZmKZgryordAlcBVH8Ht9wygyLMYictoMzJ9ArB5kbRtxSb7ddje3g907ATC54WRlg78YuYf8M9nPqLLuZoxEk4jky9hT89CNPMdO28DwPEfJ35U/0A1SKm6St+rjjbx+y1k9ZmH1ANWhw2qeKaEfm8DYydnh9gQyS+05AlWUvjDS2s151soKY/gzmam4ZXTA1fC5lG1KXRow04AwIuzpxY/IUXYq+7xcrmMmdxF9LoG65/Q7hPzUFueUcFdqdfXM/NhLpWf/13JRRK4sRXaoCIIglhNGoUhPlv5ugfAkwC+DOArlX+3IEeMIAgtmE0GtDsqO/o6RIAACHMoq0udwFUrGpYQL8yiTU4PTaDSKqixwPU7LYhnCiiUyqLFSzYme+EeSxfk1d8CmgxzJLb6BwEAJ2fONx5YzAGRC0D7NoTTebhtJlhNRiFwyyXd0pRtJgsief1bntTi7EwSVrMB/YGFyN/eri3otG7GYxMP63sxKVJn9yk7bt5JWac0ZR3aagFAoVRGKleaFzU1kXrCJhccfm1mI9w2E2aXOiknp4WDsooIbjg/gzZbp/wDrB4hvEvKBGHA7oHX1IVzsaHFT9QQ52cjY8iXU9ji21r/hDaf2GzQ4IQO6G/Oli+WEc8Uarc3aoDLaoLJwEjgEgRxWVBX4HLOX845fzmAEQAHOOeHOOcHAVwJQJ/VEkEQ+iJFG/SK4AJiYahmAa+DwE3lM8iUY+h0yFwg2/1NTbEC80ZT+arFb/OFe75YRjJXhK+RaKhGavWiIYK7o9Iq6EykicANnxevuW07wqmqxa+7Sxj3RIZVz6GaDnsnUqUosoXWurFyznFhNoVNbU4Yl6RhXtl+DcYypxHOqN84WEY2KkyXzDLTaCWkqKBeacpS5FKjwJ13+5YjcJfMPeiyYC61JEU5MS1eq1FGe6wqOOe4rf3T+KMt/0P+QdLmXF75fdPj3Iyx1JLlSWpW3AOWhd/tkYljAIADXbvrn0za7GiyYdYMh8UIo4HpVvsaqfgHBF3KBC5jDF6HmQQuQRCXBXJMpnZwzo9J/+Gcvwhgf8tmRBCEespF4eyqdKHeCEdQCEGlbryZiIgAm+2qLz0cFQ6s3XJ6aAJiEc7LDRelfkclDTOdX1jcy0hRlhaGPoeChaXVrakGd2ugFyZmw9lokz3F6ChgNKPs3oBwKrcgcBkD/ANC4Orgptzt6gLAMRxrbRR3NplHJl9Cf2B5L9iX9V0HjhJ+ce73+l1QMnZS2prH5hXCOKVTL1wp2q9xg0p6rzaM4FqcIjsjubhHa8BpRTiZR1ly2+UcSE6JzRKFZAolcG5Bt1tB5FdD5sNm71ZECpOIZZMLD6aXG0wdCx0HgwFXbdhV/2SS6ZxGoynGGFxWk279o6U+xYFa7s9N8NpJ4BIEcXkgR+CeZIz9C2PsRsbYDYyxr0D0rSUIYq3BS2JxrLGH5iIcQZHKm082H1uN5KCsYS6SwO11yxW4taNS1fgdZjBWqTNMzYgNARnuubGMWFj65KYoA5V6QvURXKPBiLf2/S2u9NzWeGB0FPD2IZotoVDiaHNVLX79gyLlU2MkClj4PYzEJjSfqxFjEVEX2uNfvjly0+DVMMKMJyeO6HdBtW7fjAnxpGeKssUhRLMGJBfkhhFcQNwvySVGU04LimW+kFKbS4g6XZdygSudQ1bfaAkpeq1iY2hX2w4AHM9MnhAPcF5pb7RY4J6NnkbQ0tfY+MrqFp8NOhhNuW0m3VKUw6k8DIw13ryog6cicGu2gSIIglhHyBG4fwrgOIC7AHwYwInKYwRBrBG+fedh7Oz2VByUdUxPBhba7yhth6JDi6CLcREpHPTK6KEJCDHOWEOBazIa4LWbRS/c5AzgahctX5oguY8qWlha1RnmVHOw4yoU8w1qqvMp8bvx9WO24n7b4a4SuJ4e8T2uXZQOVH4PF3U4VyPGIhl47OaaP2uHxYZu+2aciZ7Q52JSnaWMNlE1cbTpm6KsQ4ugWKYAk4HBWa8FjoS7U7x3SgtRPSn6P5+mLEV43QrqaCtIabkem4LUZunzS0UE91C3SDl+ZqqSdJZPCQOwJRHcsfQQBlzbGp+MMZGmrEOrILfNrJuL8lwqB7/TvCx1Xw5euxn5YhnZgn49eQmCINYictoEZTnn/8A5v63y9Q+cc50sIwmC0ItQIodQGvoZTElIi8MG/WWXUS4J0aBR4E6mhHvwoF+mwDVWorFNBEfAaUE4mRWLd6c8A6tfjPwYpzM/gc3cRDRUY3WL6LcGl92gy4p0voR0vk4EKHpRfPf1IZTIwcDYYgMaR5uICOogSqXfw0SidSnKnHOMRzPorRG9ldjq242JzBCyRR1qgQtpIfDUCktnm4iQ6+GknI3r5KAszNBYs+wJT49I6a/6fS4I3MrPNjFViVQrcEKW5lGJWrqVRHCNZlHWoCLzYWugD05jAC+EKq2xpMh6VY39cHQSqVIEOwI7mp9Qp1ZBHpsJqVxpIe1bA+FUXrHBlMR8q6BMa2voCYIgVpumApcxdoExdn7p10pMjiAI+YSSOYRyBv0juBYXYLIoc1LOxsTCWaPAnU5PwWZww2NdXotZF2cbkGwucFOJKHg+A7jkRaYen3kQw9nH5c8DWBArGtKU2+d7k9ZZlMbGhLB3dyOUyCHgNMNkrPpoNxgAzwYgrr13bNDuhYU5MJ2ZaT5YJeGUqL/t8dUXuPvb96KEPI6MH9d+QcklV6mDsoSU/qo1TZlzIBfTZYMqlinISwuWovuxhfeGzWyEy2pCKFFpLRWfEALRpFxUxTMFWEwG2MxyksWqUNkqyGAwYKN7F84nKu8LqTa6KoL7+4vPAgAOdO1tfkIpgqsxpddtM6PMOZL1NqlkUiyVEVPhoCxBrYIIgrhckPNX5xCAqypf10O0CPr3Vk6KIAgVSIswvQUuYwtGU3JJLY+cqGE2OwOPWUYP3Gqc7WJRWqq/iPM7LLDmZpErlkWKsgxCuVFscAwom8t8L1z1acqSW6qUfryMxKSojzQYMZvMod1dw3zG3SWi2hp7egKAx9yGUGa6+UCVTMfF6+zy2uqOubZnPwDguWkdBK4UoVMdwa28x5Wm8C+lkBatcdSmSlcRzxbkpdJbHOIeXbL58dvI3fj8iQ8B5TIQHwO8farmkcgW4baZmkeSl2L1qG7Psye4D+lSHOPxObHpYLKKTboKT00+AyPMeGnf/uYns/kqGRja+kjr1Sooki6AcyCowmAKqBK4aRK4BEGsb+SkKM9VfY1zzj8P4BWtnxpBEMqQBK72Gr5lKG0VJI2V4U7ciEhuBn6rCoHLecM05YDTAmd+DulCSVbq5WRiDulSFJu8m5TNRQeB67AYYbcYl/cmBYQAqTjcZvIlJLLFxQZTEs4OIW6VpJnXwWdpRyTXugjuTCILs5Eh0MCtentbP24K/nf02q7UfsH53rM+dcfbfCKCrjWCO++grC2Cmy2UkCuU4bHLrHv19ogsgKoopd/mRSg3ilJiUgg8b6+quUgCVzE2r+p75g933oE/6voG0hmL2HRwti0yujsZeR49jm1wWOpvoMyjU6sg6Weg1Uk5nJIclNVFcM1GA0ymDIZj2rM5CIIg1jJyUpQPVH0dYoy9D4DOISKCIDTTqgguIKI8uSRQrBNFXEpqVqQZmtRFGiRuaftr3D74AWUHSe1MGtSJeuwM96e/hftzU4C5+UL3hZkzAIAdwa3K5iI5WmtIUWaMocNtxXS8Ro1nJiyifu4uTMZElKnTU+P11Ol5qoagrQOxvE6mSjWYiYsotKGBiY7RYMS1HTej1Mh8Sy7ZqKj5VJGCC2Ahw0Frq6B5oa3tNcXltAiqxtMjIpRVGRqbfZtR5Fmcv/iceMCnLoIbz8pMlV6K1aO6dr3X54XVZMJYNCM2HaoclOcyMUxlz2JnYL+8k2lwdK7GNR/B1RY5nUvlROcvJU7uS/hp6P/Ft859WtM8CIIg1jpyUpQ/W/X1fwEcAPDWVk6KIAhl3HHv40gXWihwpUisXIG0ZGGphkKpDAtvwybfoLIDbV6RehmvL3BdFisu8kkcKURlnfLk7BAAYE9HE+fVpRiMot+oBoELiHTd2WQO+eIS91NJxLu6MBXLwsBYbYHrCALMINoiaaTT0YVMOYZ0Xn+vwUKxiG+c/zhCpaNNx7a5rJhN5rW3PMnG1NffSijNcKiFJKI0uihL9ZWyhWVgo/g+d27+oSvaxEbO6fEj4r2jYk6FUhmZfEmZwZSEJPJVCEujgaHX78DY9Kxob1SVRfLTM78FRxmvGLhe3sk09ORddBqTEVazQXOKcjiVh8++pMZeIUFbJyL51mVgEARBrAXkfEq+m3P+8srXKznn7wVAFnwEscYwG4B2a1FEo/RGigAmZdReSr0nndrqb6V0PpdVYYojYyIq1cg1OBPBJubBuaI8UXI2ehYmZsOWgIpUTatH8wK5y2MD5yJ9dxGJKZEe6whiIpZFm9sCi6nGx7rBKNo9NTHfkkN3pR/qcFR/J+UXZoYwkj0CgynddGyb24psoYRkTmN/0UxUe2seZ5v4HcvNcKhFNi4chE0yUmcbILWjadoDV8LmFXXoc2fnH9pb2cg5Fx0CgptVzSMx76CsIkVZo7AcbHMiFwshUygt8gF4cWYINoMbNw1eLe9EZpuI7GuM4AKA1VLCmEb38X888UE8Efu6pnN02LuQKMyipEM9PkEQxFpFjsD9nszHCIJYRcwGjnY7FtWb6YbVI4RzQobAzUZF2qzGCK6mBbK7W4jseimO8XFsNfkxXZxBKt/cQOZiYhht1j4YDQpaBElY3bpEcAFgKrbk9SSnAVcnipxjIpZEdwNjJrg6dIng9rm7AQDDUf3r+J6ZehEAcFX3nqZj2yrmW3XdpeXAuT69Z+edlDWkKediYh4a79+pRBRGY1lZO6vgFlGHW3mfdruDcDIXLhSi4jkVJJQK7Wo01q5vbHPCUYhgLpmbF7jFUhmbLH+A/7n3W7CYFPayVml4Vc3Ppj6Nr5/7X6qPzxbzmM6dh9uqbQNkg6sbJRQwkdCYcUAQBLGGqStwGWM7GGNvBuBljL2p6utdALR9wi5c49WMsdOMsbOMsb+u8TxjjN1def4FxtgBPa5LEOsTDjAVAkwOjIna1uRU87E1WnOoIZETC2RVAtfTXTlJnShufAI77R3gKOOZyZNNTzedHUGPY1D5PACxQM7FNLUacVhM8NrNmKquw5WMtJwdODJxHP869oeYLrxQ/yTODhER09ivtd+7AQwGTGutOa3BUOQsGIzY09m81lky06rrLi2HfEqYb2k1ZptP4dcgGrIxXXrg/tvQ3+EH0x9VdlDXXtHWa+rY/EP9Bg+Gy2nA169qHvGMhg0qi0uk1KsUll67Gf22DKZSZfDKz/RcKIVMvoT9vQr7+WowvKqmzd6JWEF9BsWJmfPgKGGLT92Gg0SvW/SyPh8Z03QegiCItUyjCO52ALcC8AF4fdXXAQDv0XphxpgRwD0AXgNgJ4C3M8Z2Lhn2GgBbK1/vBfDPWq9LEOsWzgGDisWkXFwdYgHfLLUtOSUEsVOh+/ESYpkCGFORogwA7g1iDvXcQqOj2NuxGwDwbCVqWI+x+AxSpTC2+BUaTEnYPCKiXdQmLLu9NkxEMws1p/mUEKuOIB65+CRKPI8ruxvUCDt1iDICuKJtM97ZfR92+2XWMdYjdAY49j1g7Ol58T8Sv4CAZQNsMgyfbGYjnFbjvLOsKqTIuta6dZsPY8UMPvC7v8c3n35Kedo05yJVWmstMIBwbgY+pc7jjgDgHxC/i2IOiF7EJmbFGE+grHJjJpYpwGhgcFlU3L8GgxCW2aiqawPAZlcWUbhxajqJcpnjyHBYCN+AQ9mJdCgxAIBeVy9y5SRCKYWOzMUcMPQrnD32nwCAXe0qP4cqDHiFwB1ZRSflf33ufrzl/j/H3U/9O8rlcvMDCIIgFFL3Lw/n/IcAfsgYO8w5f7wF174awFnO+XkAYIzdB+CNAE5UjXkjgG9wsaJ7gjHmY4x1c871L/5aIabHzuHXw79CpqSur95Vvn1wGhX+ga7wZPQoXXedXjebiqHAy5jKZ3HvM99VfPyh9uvgMLsajrFmXXDH04hcuICSYyEK8vTMo0gXF2om7dPPwFBIIfX8jzRdd3g2jaDTos5QxWwTEefIBWDjEiGWjQGpWWzedCMs5xw4GW4cwX1i7HkAwIGO5mmzNZlPt0xoqo/uCzhwaiqB2WRe9LqVhKoziKemHoffvAE72hr06bUHxPdMWLSGUYnNbILDYtHmCBsbA47/l3DZrhh4ofcQpjKj6HFulH0av8OCqJaenvPGThpb85SLeN/UIxgvRzEQBu5/bhx/eHV/QyfoRRQyQsjY/ZrmAQDxwiw2eXYoP3DTjcCz3wBO/BDIRLDR1oFc8gIuRCewWUXt+URiFm6rWf7PYCl2/0KPYhV0GpM46+3Eb8+EMDybQiiRw617u5X35LV5Kr+fvHqnbQCDXhEJPzU7jHanzN8z58CpnwCzQ7gQPQ0A2ONXf+8CwGa/cMSWXQ+cjQPRUU3XrOb+4SfxD6c/Dxuz49TJJ2FJTeF9V7xat/M3o8w5xiIZFMsLGzclXsKj4adUnc/ADHhZ4BpVx9J16bpr/bqeQBfaNjRYV6xh6gpcxthfcs4/DeAdjLG3L32ec/4hjdfuAXCx6v9jAJb+NmuN6QGw7JOZMfZeiCgv+vvVpVStBJOnj+CrF7+GaZZSdfz/U7wO3WgsROrxVePv6Lrr9Lp/7QX+NLERY7kyvvDilxUf/6b2f4TP3HgRaysA+2eSOF88gRnXwq7792fuRqxYIxU4+rDm6+7v9zU9R10Cm4CRx8TitFpYhi8AAAzBLdjg2Irz8dMNT3N0RkR4r+nTKHCz8QWzLhUMBMXGx2g4VRG4Ih02ZXbifPJ5vKTjtY1PYPeJtE8deuG6bCb1jrCcA6d/JiJjV70bOP4D4MIjSPs3IVqYxEtc8tus+x0WnA0l1c0D0C2C+09HvomR8hw+4XsF9u2/Aj9+fhLHxmPY1+eTdwIpUqm2F2+FZC6NTDmGTken8oM9G4BNLwfOPwyYrBjY/Frg+Sfx/PRpVQL3y2f+Gj5LG/4U/6J8LoB4v8ZVRhkLWRjySezbvg9nQgacmkpgf78PWzpUfKZLaeO5BGBSb5y3JTAIADgbGcH1AzL7N4fPi0yHzS/H8ch5tGXt8M68CLhfrnoe7Q4fTMyGyZRMgXv+YWD6uOrrVVMol3D32I/QCxe+0/1q/OnEQ/j3kfvwx6U0nEb1rY+UkMwWMD6xOCKfQxH/YHpI1fks3IjtQ+o2AOi6dN21ft3UlpesP4ELQAprPN2ia9faRl2aCyVnjHiQ8y8D+DIAHDp0SGPfiNax7ZrX4J5tO1Hk6haHnfYOmA3q/hDck/4Tuu46vm7bV46CM4Z7X/MD5dd1dDW/LuewPvUo9gQ4ilsH5x9+TerLC683n4L1hW+h2HcYpc7mgrDZdVX10JQIbAKGfy/an3TtXng8dFqkPzrbsMO/G78Yuw+xbBJeW+3F75nISQTMPQjaVdZpWtW3PKnGbTMj4DTi0ZHncHDgJlHrbLLgBxeOoMjzeEX/DY1PYDCK153RLnDdVpN69+LoiEh1v+JWEcHd/ArgyL/g5JlfgKOMLQH5rr1+pxmZ8RKyhZIyUyWJbEyk9ZvVZWsAQKlcwo8vfAcbzX14s6cLPGBBj8+OZ0Yi2NvrlRcxzFTSVjVGcC9ExUZTt6tb3Qn6rwE27AeYEXtSYeB54NTcWQA3KTpNuVxGJD+J7T6Vm0KA+FkUc8s3qORQyW7wBLvxp1sHkS8pNN2qZr5lUUyTM/yO4CAAYDimYNF68Umx+dJ7FcYe+xS6zV3A+NPAwEtU9xg3GAzwmtsRysjwUwCAUl6ksO95i6rrVfMfx3+GWWTwN7v/J9xXvBJ/fuEafPTpj+Ir1nZ8+OAdms8vh2g4jef4JG7Z1Yn2Sh1/mZdxX/pPVJ2PgaHHuUHVsXRduu5av67Fpv5v42rTKEX5x5Xv/9aia48BqO4e3wtgaRhIzphLCofLi+2uvatybW9Qxa4+XfeSua4w2OXY3aGurYcs2gaA1CTgWEjV8zmqdvdmz4rIS98B1eY0uuHpEYJu+viCwM0lRdpy/7UAY7im+yB+PvYtPDL6LF6/7WU1T3MxdQZbPBruWckwR6OTMgCMlh7Edy58Ea/e+RPsqPQa/smFn8Jh9OH125oIXEA4ymqswQWEcdAiwyslTBwVKeTtlTRaVzvg7cXZsScBALva5NcY+irvw0g6j26vivTvXEIICA3Oxb84+zgihQm8c+N7gVISLB3G7h4vfnF8CuPRDHr9MhYIUiquxhrc4Zj489jnUbcwAjAvnHo8HbAZPDgfO9fkgOVMp8LI8zR63SraaklI0exMRIXArZh9OYIwGBhsatzPJXTqheuzu2A3eDGelGnulIkCkRFg0w0olDnCuXEcaHulqOefHVq8aacQv6UDczmZjuqci/ZVjoDq6y2caxde0fZ+vGXfmwGTCbdccQv+7oW78eDkb/Fhx/u1n18GxZQFOXMaLl8HvFWu836o3BTSCF2XrruerruWaOSi/GPG2I/qfelw7SMAtjLGNjLGLADeBmDpeX8E4E8qbsrXAohdyvW3BHHJ4+0TC85cnbRQyWCq0it1VWEM6NwlBK2UljvxrFiwVaLLNwwcAsDwxHjtRJXR6BSSpTlcEdilfh4GA2Bx6uLE+tYrRBryV45+C0jNYqjEcSL6BK7puFle6xOHX/z+NDg6A8L4K5MvoVBSaBBTLgHhc0DbdrFolujajfPJMQAMuzvku8QGJIGbUlmHm4trrr/92YVfwggzbt/9RvFAehZbO12wmAw4My1zUyMbBayuxT8TFYxVej8PaBG4VXTaBjCeGlZ83MlZUQYg1Z2qQhL7aupwU7MiMq8x5RvAwgaIDvdv0NqNqbTMtOvZM+J7+w6cnB1GCQUMtO8V79eZ5s7vjWizdyKWlytwy2KDTiPZQgmxhBNv3voWmE0itmIwGHB99ytxMXMcQ+GLTc6gD5JpmkH7SyIIYg3T6Bb/DIDPNvjSBOe8COCDAH4BkQ79Hc75ccbY+xhj76sMewDAeQBnAXwFwAe0XpcgCA14KxGZWJ0oRPSicOvVYMaiKz0HxUL33K9FOurFp4D27fOphu1OPzqsgzgePlrz8HTGilvb/i9eu/lV2uZh8+gSwd3eNoD9/pfjofHv4WxsAv935FdgYLjr0LvlncAeEBEgHdKlASCptA43OirMepZGaYNbMFxMIGjww22VnxLlsZthYAyRtEonZSmCq5JyuYznZh/DZvd+eH09Ig08NQuz0YBevx0XZtMLrteNyER0EWMTSbH/u9Gvj8DtdQ1iJjeq2On2XGQEALCtUneqiuoIrlJSsyLiqIeKMRhFFoYOTsod9h7M5WQmoc2eETX7jgCOhSoGUx07gLZtQHRY3Mcq6XJ0IVOOIZFLNx/MS7q0nxueS6FU5tjaubgU5A+2CYOpB4Ye1nwNOUjeUoZW9IsnCGLNUPfTn3P+W+kLwOMAIgDCAB6vPKYZzvkDnPNtnPPNnPNPVR77Euf8S5V/c875X1Se38M5b1U9MEEQcnB3AUYTEKux214qCuHrG1zxadXF6gIGXypS+p74kojEbLpx0ZDtvr0YSZ1EtrhcJE3E8uh17MCeTo0mC1a3LgIXAD72kv8BEzPh9pkHcCT9PF7X/0fyTYCkNEONacpSb1PFdbjh80Iw+AcXP251Y4Sn0W9QZgJkNDB47SZ1ArdcFpkIGnrPnpi9gFhxCoe7rxevy+6f/9lubHMininIa2OUierioDydnobN4FG0SdCILb6tsDEvplPK+tGOxMXnw7aghvvGZBGZD2paBaVCmtuULcLm0SWCu8HZi2RpDul8k/T+UgGITwAB4Sh+ak5Ec/d3bgf8G8VnbVx9H9sNLrEBciEiQ2zrFMG9GM7Aajag021b9PiVXdvhNAbw1NSTmq8hh/kILglcgljXNP3UYoy9DsA5AHcD+AKAs4yx17R6YgRByOeOex9HWq3pjxIMRsDbL4yblkamEhNAubj6tbdL6bsG2P4aYZ6z/4+W1ZJd13MYRZ7FL88/sezQi+EMenx2GNW2OpGwukUESGNqMADsaBvAvfv/BreYB/DnWz6I/33Dh+UfLIkoDe1XgIXexIqdlOPjlU2Sxam4+WIBUzyOTQabWNwrwOewIJZRkaKcT4rFu4YI7iOjRwAAN/RfLR5wtonoIYCBgBMAMBZp0jKsVBCbHzr0wJ3NzsBr1k/Y3bH9Dtze+U8o5JUZGo0nL8JlDGoX2na/8ghuISt+nnoKXJ164Q54+gFwnJ4baTwwPi7S+X1ig+BC/Dw8pg747C7A1ycEZ2RY9Tz6Kynsw3J64eokcMciafT47MvaRhkMBlzhO4jT8WdRatZjXQdKlRCukQQuQaxr5HxqfRbAyznnN3LObwDwcgD/0NppEQShFLPRMO8K2VLatohF59J2M3NnxUJorQlcxoS43fYqwL3cAOzWrTfAxGx4ZuLEosej6TzCqTz6AjpEw6xeIf4L6vojL+Wgw41P970Mdx1+DwxK0jAtbrFJoSYqVoXLJglcBcKyVAQSUwtp7lWcmh1GCWVsNrnFGAU8Ffke7hn6M0XHAKjqgavSHRvAczPPwWJw4kB3xTDL0SZ+tqUCPHYTnFYjJmNNfufZSnRUhxTlSG4Gfqt+wi7gFKUGc6mcouOm0xMIWHUwObH7lG/GSAZTrYjgatyg2hwQgnUoPNx4YHRUfG5V7pXx1AV0Oyr9oU1WsUkkR5zWYYu/H0HzZqTzMjaodBC4yVwR0XQBvf7aZmEHOw8hV07ghemzmq4jB+lXqINmJwhiDSPnFp/hnFd/6pwHINOdgCCIlcJsMoj+qK0mWDEBCp1aeIxz0X7HPygcci8hvDYX/mbXfeg13oJyeWEBOzQjjLRU9c5cihQl1ClNGak5UU+rtMbQYBCCLqss5XQpZqMBdotRWYpyYlJEpTzLBe6xkEjB3GbzKe596rBYkCjNYCalMNInReQ0RHCHYscw4NwJo+TS62wT90J6DowxdHvtmIg2SUfVqUUQAMQLIbTb9XNxd1iMsJmN8tKsqwjnJ9Bh16EO2O4X94ySqH4qJL4727RfX8LqFe/dvLr+5hLbK62CLjRrFRS9CLg6AZMV2WIe4fw4BtybFp73bKjcTwpN3ipsCfbjDzo+jQHH/uaDyyWxKaaBsYio9a3nKH5939XY7rgFkVTrI7iUokwQlwdyVkfHGWMPMMbexRh7J4AfAzjCGHsTY+xNLZ4fQRBrDZsX8A8Ak88vbIfHx0WkpX37qk5NLft7O5DIFjEaFgsxzjlOTSXQ5bXBa9fmbAugqpem9jRHAKLOU+0C3ubTnKIMiDRlRQJXMibz9ix7aqPjEG5r/wfsCmyub2BWh0GP6CR3enZY0XHzmw0qa3Cnk2HM5S9iV6CqhZSj8juppClv8NkQyxSQavRzmhe4PlXzkAhn4sjzNDod+jmYM8YQdFowp0DgxrJJpEoR9Lo0tAiSUJNSn5oVKfAaIvPL0On+7XW3w8xsGE00cAwul0T9rU+8r8/NTcBicGCbv8qYzd0tRL8UrVaI0cDgtJjkZWDwsqY2WgAwEc3AYqqfYbSnYzNe3vZ+sKKOmxJ1WDCZavmlCIJYReQIXBuAaQA3ALgRQAhAAMDrAdzaspkRBLF26d4vooAzlbTe0SdE5LZj56pOSy2b211wWIw4MhwG5xzDc2nMJnLY26vTInk+gquDwC3mxc/eoVbgejWnKAPCaCqupAY3Pi7qny3O5U9lyuh3b4IrsFGMU5AKuskvhMD5aJOo2FJycWFkZFKX9fDo6DMAgGs3HFx40BEQuY8V4SH15p2MNYjipudEn9caPxclXIiIyPcGnVt0BZwWzCXz8tygAbwwPQQA2OrXoR+3Q7idKzJFS82KzR89I3Q69cI1GAzY7DoIVmpQ9pCaFeUMbhEBNyOId3R9DW/c8rqFMVIbqLhMR+YauG0meTX0nGvO552O59DpsS2rv5UwGBg6PTb1vbUVkC5kkCsnQPqWINY3pmYDOOd/uhITIQjiEqJ9B+B+Ajj7kIhAzQ4BG69fO+2BFGI0MBzeHMRDJ2fw+7NzGJpJwGM3Y0eXth6p85idYpGog1HN/GJfbQTX7hNGPIWspnRyt83UPP22muR0zfpbAAinCqLe07MBmDomBLjMlN3tFafekVrO3o3IxYVwUSmEjoXE5s61fVURXINRiNxKBLfDbYXRwDAZy9RPdU/NLgg5Dcylk3AbuzBYifzpRcBlQXa8hEyhBIel6ZIBJ2ZFRdOu9q1NRsrALrl+K4hUpkJAUAdxXY2OG1Tv3vaJ+ZTdmiQrNehusVExm8yBMSDoqrpX7X6xMZOYBLBf1TxcNhPmkjIi8xrbBJXKHLOJHPb1+RqO6/LY8OxoBMVSGSZj6wpkHxr/L3xn6kt4f/lx2KFD+QlBEGsSOS7KGxljn2OM/Rdj7EfS10pMjiAIeXz7zsPY2a2TGJODwQDsuFWkr114VKQs9127ctdvAXt6vNjc4cKR4TDS+RJes7tLu3uyhMGgX6sgabGvOoLrE9811uHaLcBMZhypvAwDokJGiHtnx7KnOOcIp3JC4FYW9UjKt3kIOnywGtwYTyk03cnGNbUIcrJe7PO8FkH7kii/Izi/CWEyGuB1AKdmL9Q+Cefi96lDvegG+za8pfMeXN19QPO5qglKRlNyxBCAs9FzYDBiV7sOItNkERkHciO4+bSok9XTYAoQEXajSReBG3RZkMgWkSvWqTdNTIvXXdngCafy8NnNMFeLPsbEZpCmCK4ZiWyheWReo8lUOJVHsczR4WmcKdHltQoxLPN9ppZiWUStzYbmmzUEQVy6yLnDfwDgqxC1t+ocDQiCaDmhhDKnU824OoBr3y8iuK5OfVMCVwHGGF6/txuzyTzcNhNsZm3GKsvQS+CmZsWCU23NpnRcNlrTVVouL0QewfdmPok3hr+P/V3bGg+WBKtrucCNZ4solDiCTivg9Iv3UXJaUT2339KF6bTCxX4uId63Kuk0HcRbNx1e/oSzDZg9I1yjjSY8PPclnIg+hfccfnT52EJaRNLVblZUEc8WwNhCCye9WHBSlucoPpK4AL+5GzazTtkcVa2XmpKcXjhGTxgTRlM6ZGD4HeLnEk7l51PYF5GcWvR5Gkrk0FardtXVAYw9LYymlJrNQWRgFEoc2UIZdkuDzzqNAncmIbI8OtyNs0XaKxHq2WQOXd7WGRUWK62IrCYdvBUIglizyPnUynLO7+ac/4Zz/lvpq+UzIwhCEaFkDqHkCotcqWXFJS5uJRhjaHdb9Re3QEXg6pSi7AiodzaVzHc0Gk31uUUbmJGoDGEpOdvWELiSQ2/AZRHmQPaAogguALTbuhHOKWgvVCqKSJ9NXQS3UCojks7XNs1xVJyUM6KN1jb/NqRLUYzGppePlYSbU3uKcjJbhNNi0i/roILLaoLFZEBYZqsgQ9mOTe7d+k3AERQtyeQ4Bs9vpOhbhwxAt/tXiojXdKYul4VIr8w/Wyghmi6g01ND8DnbhSFVJrz8ORm4pV7WuSZGU5oFbg4WkwG+JmZ9HrsJZiPDbIv/hokILltwPicIYl0i51PrHxljH2eMHWaMHZC+Wj4zgiCI9YTNI6KGGntpCoGrQRCZ7WJjQqPR1KBPuCFfTMgQuMlpwOIALMtr3uYFbiWyBVeHYoHb7exBrDCDQlGm6VVeclBW1yJImC4B7e4aUUopPbYSTdzTfgUA4JnJ48vHzqebaxe4iWwRbpv+aZeMMbS5LJhNNE8dLZU5Dnv+Au+54q/0m4AjKEyX5Lxfk1PiPrPo0Lt6KdL9qxGv3QyjgdUWuJmw2HypZFZIWTkdtdq/Se8zafNIIW6bEJxNjaY0tgkKxXNoc1nqGkxJMMYQdFllp8KrpciLMIDELUGsd+QI3D0A3gPg7wB8tvL1mVZOiiAIYt0x30szqf4cpaJICdeagmn3aa7B3eTvAcAwLkvgzoj62xqR/nAqD4fFuJAm6eoUcyvIN7Dqc/eijCKG45PyDpjvgasugisJj5qpo46gqNdMiIjyVRtENPPF0MnlY9NhEbXWUAsskcwV4WqBwAWADo8NM4nsoj7RtYik8yhzDr9TR7M56b2elhGpTExrSjtviNUjov5lbb1aDQYGv8NcW+DOR/SFeJ2pvM9q9jd3VJyiVQpc6b2SbCZwNbYJGomPI+CUlw4cdFpaHsEtlYswaDDNIgji0kCOwL0NwCbO+Q2c85dXvl7R6okRBEGsK6TUYC3CMhMWEWCtNZs69MK1mS1wGQOYbFb7KhkpuWob/8wbTElIacwp+VHcwYo789DsiLwDNPbAnU2JtMuaPZINBpFimhBiu9MVgMvYhjOR08vHJqeFmNGY4s85RyJbmI/K6U2Xx4ZCiSOcbhxdk8RJTeGvFum9nqyR4l1NMS/uD3cL0pMBEe3nXJc05TaXtbZngpRuXHGPDiWycNtMcNaqqzaaxDiVAtdpMcJoYM0juBraBE0m5vCNsffgSFieL2nQZUU6X0I6r6D9mEIogksQlwdyPrWeB+Br8TwIgtDAHfc+jnSudYsCQgfmzZ00CNyUTimtNq+Yh8Z06YC1C6FMk6hpNiYizzXmzDnHXCqPoKtK4KpIvdwSEK2CLsRltgqSRIrKGtxIKg+fwwxWT5i6u4Ugq9SNbnBsxHh6iZMy52JMpZZZC7liGYUS191gSkKqAZ1q1M8Xot+pycDm60x1wWwTNefJJjXWyWnxM21F/S2w8F7RIU25w2NFIltcLuTSYcDqmm+3FkrkakdvJZQYcC2BMQaX1YREtlkNrvo2QcdDomXUFv+grPFtLmWO3WoolUswMHJQJoj1jhyB2wngFGPsF1Vtgn7Y6okRBKEMs9FQ2/SGWBvoYe6UnhPRPkdA41x8oq4xn9J0mjY55k5Si5caAjeVLyFXKCPgrHrfWt1igZ+S2RoGwKZKPfBEQmaKci4hhJNRXcQzki4s1AzXwtMtRH2lxrbPNYhwbnxxjXA6LKKOGpysJeIVkeJpUYqy32GGxWSYd8Stx0w8i3a3tWm9pWJcnfMp33WRfvc6/DxrIkX7dXBSlhyFZ+JLoriZ8Px9kiuWMJfKN3YfdraLkoVSE5FaB5fNhESjjVHONUVwT4fPAwB2yOxLLEX+W5mmXOSUokwQlwNyPrU+DpGm/H8AfA7AUwC2tHJSBEEox2wyNN7tJ1YXo1mY32iJ4KZnhThVKczmmY9GaVusdzs3IFmaQ7bQIOIi1U7WELiRpQZTQEXAB+X3PgXgsNjgMPoxnZbppKyhB26hVEY8U2hcZypFZSt9Sjf7NqOEAobCVRHmeUGmPYIr1VG2qgaXMYaiaRQPjv6k7hjOOWYSuab9TlXh7ha/s0YbMrGLIktCpXFYU6z6RXClz+np+JINg3R4Pj15KpYF50CPr0YrIQlHsOLYHVE1D4/N1DhFmVecq1UK3OHYMBiM2NbWL2u8w2KE1WxANK1OsMuhVC5RijJBXAY0/dSqtASKAXgdgK8DuAnAl1o7LYIgiHWIzac9RVmPHp86RaP6PL0AOM5FGqQGZ8IiWmpe7mw7V90iqBqFAhcAfOYORHMyF/o59QI3UqlDDTQSuHa/eM3xcQDAjjaxJ/xi6MzCmOQUYDDp0gNXEimtqsEFgIu5J/GzyS8glq1tkhZJF5Avlpv2O1WFFJWtF8XlHIiNAZVa7JZgsojfqQ41uDazEX6HGdPVdbj5NFDIzGdnjEczMDCGTm+DDQMpk0OOAVcN3DYzUrliffMwjQJ3LDkKn7kLNpO8lHXGGPwOS20DLp0oUQSXIC4L6n5qMca2Mcb+ljF2EsAXAFwEwComU/+k5aKMsQBj7JeMsaHKd3+dccOMsWOMsaOMsae1XJMgCGLVsXnVt+cpl0WkRoeWMnpFcAc9QlCcDTcQuOk5EZWq6aCcg9VsgNOyZMHpCIpIWVF+quL7tn8Gr+/6mLzBubiG+lsRXfI3SlFmDPD1AxFherW3YysA4Ez43MKYxJQw1DKo7zEqkcwVYWAMjlb0b67wkp6rUUYRvx5+qubzUvpyzZ6tWpHqausJ3ExECMRWClxARId1SFEGxM9ppjqCu8RgaiIq0r2tpga/08pYtb1wi4hhKPU7hNJ1Nt0kx2iVbYKm02PotCv7nfgd5vlNpFZQ4iUYqQaXINY9jf6ynoKI1r6ec/7SiqjV5o+/wF8DeIhzvhXAQ5X/1+PlnPP9nPNDOl2bIAhidbB5xQK5Yj6kiExELDj1ELimSv2pxsX6loBIPRyJj9Uf1KBv70h0GgGHablZkxTVVBDFDTqcSGQL4M2Ms0oF0YJIZSprJJ0X+tXRJFrqGxDR+kwUna4A7AYvhuPD4rlySaQoezaomsNSEtkCXDaT/rWvVbxi8BowGPH7sSdrPj8ZzcJiMjSObKvFbBPvoUpEfBmxygaLt0//a1dj9eoSwQWATq8NiWxxvn56IZU/gFKZYyqWwQZfk80Ck0WYUqmM4E5lh/Bw5HM4HhqqPUBDBLdULiGcn0CPU156ssR47nn81/gnEc9p8weoOy9ehEFlRJogiEuHRnf5mwFMAfgNY+wrjLGbAOj11/ONAP6t8u9/A/AHOp2XIC5Lvn3nYezs1t5Lk2gxdp9YNOZV1PFJYk+PFGXGhNjOaeuFu9G3AQwGXEzUEbjFHJBL1hW4Xxr6Czw0W6PiRRqvQOC6bSYUShyZQpN9WI09cCOpPNw2M8zGJotkn3B2RlREcTts/RhPDYvH4uPChEoao5FEtgh3ixyUJXx2F3rt23Fs7pmaz1+MpLHBZ4OxVSLb1w9ER2v3oY2OAma7Pps/jbB5dBO4vX5RWzsWzogHMmEhJG1ePDl2HMfiv0DAJWMjzB5QHcHt94oNlovxOq2+5gWu8t/p2fAYSshjo3ejouOYIYOLuWdwMjSs+JpyKJUpgksQlwN1/0Jzzu/nnN8BYAeAhwH8dwCdjLF/ZozdovG6nZzzycp1JgF01JsGgAcZY88wxt6r8ZoEsa4JJXK1eysSawctTsppnVoESVg9miO4FpMZblM7plJ1FshVUamlTCbmkC5HMeCpIfLsPrHYV9ACRao/bdrXUxIoKiO44XQeAaeMWldnmzAVq6Qp97gGEMpdRLlcFoKMMcCnT8QxkS3C3SKDqWr2BA9iMjuE2VR00eOpXBFzyTz6/MvrrHXDPyCi70vTlMtlIHweCGzS3E+4KVa3iP4XtafQtrusGM49jPtO/6d4IB0WtdsGI+4f+gkej30F3T4Zhl2OgOoI7ia/SB8eq+c+ziubCSpqVk/OinT8rX5lAnd7cBMA4PTcuSYj1WEyWGE3tsiIjCCINYMck6kU5/xbnPNbAfQCOIrGKcUAAMbYrxhjL9b4eqOC+V3HOT8A4DUA/oIx9rIG13svY+xpxtjToZC6xucEcSkTSuYQamF7BUIHbD7xXY3RVGq20kJHJ5danaJRQWsXZrN1FsgNWgS9MCMMl7YHapjyG4yVhbv8CK7UIqdpX08NPXA554imC43rbyUYE6IrfA4ol7DRsxG5chLjiVlg7pxofWNu4JArk1K5hFOxp1E2aHf3bcZNgy8DRxn3n/7VoseH50Q6aX+ghQLX1y9+puElwicxKepvgyvQ3EFHJ2XGGEKl5/GL8W+J9lGZ8PxG0DOh36PfsQvtzpr2JIuxB4Q5VT6teA7tDh9MzIqpVD3zLvUpykMR0fd5Z4e8FkESu9rF+HPRYcXXlMPtfX+FPxr4vy05N0EQawdFn1qc8zDn/F7O+StkjL2Zc767xtcPAUwzxroBoPJ9ps45JirfZwDcD+DqBtf7Muf8EOf8UHt7u5KXRRAEsTJYPWKRrkrghkTfS72wecWiWGUPTYlN7p2wG+rMKz0nFsf25Qv1ExVH4X2d22sfqzAyJUVw400juAnxO1CRojwSncKDoc8hWrwg74D2K0TELzKMfe170G+7GjNzE6J9UPsOxdevxXg8hJ/NfhIn4o/qcr5G3LTxKriMQfxy5MFFjw9NJ+Gxm1vbpsziFDW2M6eEa7LEzEmxIRJQFilUhRT115jaL3Fz/81IlyL41YUngHQEsPvx7MQphHLDONxddz9/MVJ2hIpWQQaDAR5TO2az07UHSD9nFQJ3OD4CM7Oj36OsL7HP7oLTGMBoYkTxNeVQ5mhprTpBEGuD1aq0/xGAd1b+/U4AP1w6gDHmZIy5pX8DuAXAiys2Q4IgCL0xmgCLS7mTcrksxJ4e9bcSOrUKevvWO3G998MolGrUC2YiIlJaw4X1bPQszMyOLf46LquO4IKxlgxsZgPMRtY8RTkbFy2LVDjDHg+dxfnMo2DGjLwD/IPCIGnyKK7rP4SbA38Fb7iSYdReR9gr5EJUGC/16NBPtxlGgxFXd7wCp+NHcCEq0tJTuSJGw2ls63QtNwvTm44dYtMkWRFkpSIwfQxo26pLNLwpNv0iuADwph2vhBEW/PDUfwHlIuAI4BsvfgcMRrxz75vknUSjk7Lf2o5wtmaMQVMEdyI5iqC1BwYVLuFt1l5MpRs4s2ugXOYwtPp9ShDEqrNaAvfvALySMTYE4JWV/4MxtoEx9kBlTCeA3zHGngfwFICfcs5/viqzJQiC0AtHQHm0JRsVC2A9Be78Yl1bNMpXSdeNpmtEgrPRhbTsJYwmL6Dd2l9/AWwPiAW2zHplxhjcNrO8FGWVLYLOR0cBAFsDMs2hjCZgw5XA7BDcxSisrAQ2/rQQvjXqktUwWjEI6tfJkbkZd+7/Y3CU8fmn/gUA8P/87nP4feQr2LUSJncdO4Vz8Mhj4v+TR0WEvHt/668NVGVg6GM05bO7cKjtJjwR/g3G8ylcLHI8OvVT7PK9BL2eetYkS5Dq1VXW4QZtnYgV6pR1aWgTNJO9iC67uhrzDc4+zObqOGZrpMw5KIBLEOufVRG4nPM5zvlNnPOtle/hyuMTnPPXVv59nnO+r/K1i3P+qdWYK0FcCtxx7+NI55pEroi1gV2FKUyqsgDVM0VZpwiuv9IuJ1qrd2UmWjM9GQCmM8Poc22qf2KpbldBZMptM8kwmUqoNpi6mBgDgwFbAgp6e/ZeBRgtYCd/iF3J36OQjgOD16m6fi3GKwZBm+tFwnVmZ8dGHAq+Er+Z/D7++tefxoNj98FiySLgamF6soTZDvQcAkKngQuPiK/ARrFhsBIYjCL6r5OTMgB85Kr3g6OMv5z+PT781OdR4Dn81TUfVjYnm1dRvXo1HfZOpEpRZAs17l+VEdxUPoN4MYQ+tzqX8H7PALLlOKaT6kR7I8ocrXP6JghizUDNwAhinWA2GtC+EotMQhsOFaYwkpuwQ88UZbeIRmlcrEsR3MjSCG4xJ16n3bfsmPH4DDLlGDZ5GxjQSBFOBZsBnmYRXM5F/bPVK/uc1UykxuAxdcBikuGiLGFxAjvfCKQj6M6ex7BrvzBM0omp1BSMsKDTqU9EWA6fu+kT6LRtwk8vfhM+Sxf+7sb/uWLXxsBLxM9v+Pein/O2V7XePbkam0e3FGVAbBi8v+P1OFaexVDqefzxtv+G/V3blJ3E7lde9lBhg6sbAJ9POV+ESoE7Hg+jy7ITVwTV1Zlv9AphfHpuWNXxjShz3vpUeoIgVh1qBkYQ6wSzydBakxdCH6SIZiYi2sjIIRUSURqTDPdeuRiMlXpgra2CDHBZTYgsjeBKqcU1UpSPTp0GAFzRtrX+ic128aUwgpvKlVAslWGq1ae2mBOmWiojuKHMBIJWFbWuwc3A4b9A5OwUTk+U8Moy1y2KFMrMwGNuU1XrqBaf3YWfvvk7ODZzFrs6NsOm5/uyGUYzsP8dImJp84k08JXE6lHUvkoO79uwG693dyC/+3Zs9KlINbf7RG9lFfR5xPt5ODaOK9oHFz853yZI2XvLUPbgtW2fxC2D6jZytviFwD0XGcXLBg6oOkc9KEWZIC4PKIJLEASxkqgxhdHbQVlCp1ZBPod5eYqyFFGqEcE9MTcEANjX0cRoSaWTct00ZQ0tggAgnJ9Cl6NH1bGwOOD2taHMOWIZbc7Vi+aUm4bPsvKdAywmMw5uuGJlxa0EY6IefaXFLSAEbi6+2MlZK+kwegID6sQtIIS+lDGhkAGveD9fjOsXwZWyOXwOBZkOVWwPCoE7EtffaIpMpgji8oAELkEQxEqi1BSmXBLRXj0NpiSsHl0Mc/wOy/IUZclIq0YE92x0CBaDE4O+JtFQe0BxBBdoJHArqaUqIrhzmRiy5Th6XCoFLgC/Uyz4l0W7NRDNhxC0yTQkIrRj84gsgGJWn/OVikIw2zWkmEubSDIN2arZ5Bfv54lkjV64agVuKg+X1QSrSbk5FSAyBOwGL8aTY6qOb0SZgwQuQVwGkMAlCIJYSSRTGLnCTWqV0wqBa9MnGuV3mpHJl5AtVLX0yUQraca2ZePHkhfQaR1onlbrCAC5pIhOycAz3wu3ToRU6j+sogfu6dlhAMCgV339rH/ecVofgZsvFpAqRdBh79LlfIQMpM0RnZyUkYmI+0+Lq7a0iaSiDtdrc8FqcGMqNbn8SZV9cCPpvOrorUTA2o3pdI2oskYoRZkgLg9I4BLEOuDbdx7GzpVo00Hog5LU22SlR2VLUpS9QjznU5pOs2A0VSXcstGa6cnlchlTmQuNHZQlJCdlmT8rl82EXDmB8Xidvp65uFisW1yyzlfN2fAIAGCzX50zLADYzEbYLUZEUvqkKI/Ep8BRRreLBO6KIW2O6GU0JW10rVIEFwC85jbM1uqFq7JNUCRdmN/MUUu7rRtzuRqiWyNC4JLCJYj1DglcglgnhBI5hBLyIl3EKuMICtFWLjcfm5wSC8xWCFzJTTirrRdu0CkWs3PJKoGbidZMTz41O4I8T+OK4BXNT6ywXtloYPhB6CP49rl7aw/IJQCrC1BhyCTVA0r1gWrxO8y6pSgPV5xve90qjK8IdejUP3oeafNGSwTXZBXZEiqdlK8MvAK9tn3Ln1CRopwtlJDJl+bT8dWywdmLRDGEbFG/dH6A2gQRxOUCuSgTxDohlCRxe8ng6gDKRSHcmqUeJ6bFGIVRFFnML9bjANTXlnrtZlhMhoX3YLksRHPH8jYh4/Eouiy7cKi7xoJ6KXafMBRSYDTls3RgNjtd+8lsXFV6MgCMJcdgM7jR5vSpOl7C77BgeE5bxFxiNCaccwe8Ks2JCOWYnULw6RXBTc+JTReTRgd8u091BPe1/W/H6ank8idUCFxp88anMYL72sE/gDV3AJkch03HlapoE6Tf+QiCWJtQBJcgCGKlcVZMgZJ1UmklOAeS00CrUlAlsaexnpAxhqDTshDBzcXE4rhGBNeBPtza/r9xbc+e5ic2msUcFRhNBa2diObrpSgnVLcImk6Pw2/RHin1Oy1I5UrIFUvNBzdhIilSODcFejWfi5CJwSDeQ7rV4Ia1pSdL2HyqI7humxnZQgn54pKMEhVtgqT0e60pypv8vfCb+5HIar9PqiEXZYK4PCCBSxAEsdI4gmLRmAo1HpeLi9Yf7s7WzMNsE711dWgV1OayYjaZA+d8IZIk9fytYiaRRcBlqd2nthYKWwV1OLoQL4RQXpr+zbkQuCpbBM3mJtFh1x4p9VfMd6JLXadVMJWehoU5ELR7NZ+LUIBO7bUAiPe2lvRkCbtPiG45ZQ9LcFlFiDSZW+I+riKCG03nYWAMXru2FGVv5T7Rs6UWAKSKMRTLlO1EEOsdErgEQRArjdEkFrXNBG6ikmrbShMhq0dzDS4AtLmtyORLSOVLdXvgcs4xE8+hw60gHdMeEGmcMp2eN7i6UUIBY4klP9tCWqSFq0hRzhcLiBdC6HaqT+OWqGnIpfZcpl5c4ble83kIhVjd+qQoFzLiS68ILi+rqg1eaK+1REyqELjhdB5eu0lznavLIs6ht8D998k/w4MT/6HrOQmCWHuQwCWIdcAd9z6O9NLdd2Jt4+ponqKcmBQ1qK4W9jm1eXURuHZLHidTP8czEydEBNdgBCyL04ETuSLS+ZIygesIir6j+Ro1gjXodYso6/nIkh6aUkqpCoGbzJXw2rZP4lX9r1d87FJ8djOOp36C3178reZz7XK9Gm8e+LDm8xAKsXqEwNXYXksXgykJKVtCRR2u2yqipcv6R6uqwS3A79SWngwABgODx2ZCNKOfyVSxVATAYWRkP0MQ6x0SuASxTjAbDWh3aTQqIVYOZ4cQloVM/TGxMcDVKWpRW4XNq0u6pd9lxuOxr+Dhi4+ICK7Nu8yteCIqXusGn13+iR2VhbvMNOVBr4iyjsSWCFwp4qaiBjeZLaPTsgPbgxsVH7sUk9GAk6kH8LvJX2o+VyJbmBcnxApi9VTaa8nbdKmLVFsutcPSgpQtoaIO12UzgbEaAldKd5ZpcMc5Ryyd12wwJeF1mHWN4OZL4vWZDCRwCWK9QwKXINYJZpMB7UoiY8Tq4q6kHSfq9Hosl4D4BODta+08rB6gkAU0tuPocPrhNXfhZPhFIBOpaTA1Ec3AYlK4EaOwVdCWgPh5XUxMLH5CEvEqanClRbZHY12hRIetF1OZi5rOUSyVkc6X4NLTYpaQx7z7uMY05fSciI7adKihtriFEFURwTUaGJwWk+YU5USuiEKJz9eZa8Vrb43ANZPAJYh1DwlcgiCI1cCzQaQfV1q9LCMxJWpGvS12yLXp0wsXADa7d2E4eQLldKSmwdR4NIturw0GJfV5Ni9gMMmO4LY7/bAwByZTSzYOsjFxHrND/rUrxDIFGA0Mbqs+C+MNrn7M5caXG2EpQDIEcpPAXXl0ch9HOiwir3q0ADNUhLJKJ2WXzaTZZCqqk4OyhNduRq5QRragj5NyoSzmZ2xFyzWCINYUJHAJgiBWA5NV9LeNT9R+XkqxbbnAre6Fq43dbXuRKkUwkppdZjCVLZQwl8wpS08GxCaA3SeiwjLxmjswk14icHNxkZ6sokVILFOAx2ZSJswbMOgZRIFnMBqv069XBlI6qcdGKcorjpTmrjWCq1eLIAmbT3UvXLfNtDxFuZASm0IyI55PTj6LM6lfwW3XZ2kpOTHrFcWdTMyJ81rJdZwg1jurInAZY29hjB1njJUZY4cajHs1Y+w0Y+wsY+yvV3KOBEEQLcfTC8THRDryUqKjwnzG6mrtHOajUVHNp7qu9yAA4LHk1LIU5YloBpwDPUoFLqC4VVDA1olwbol4zMaWiW65RDP5+bYlerDVPwgAODFzTvU55tOmSeCuPGa7cEJX4Vg8D+dAOrJQY64Hdp/6CK5VpCjzauOsbFxsgMncFPrt+IN4Iv41eKz6RHA9OgvcC1GxaTjg0e6GThDE2ma1IrgvAngTgEfqDWCMGQHcA+A1AHYCeDtjbOfKTI8gLi2+fedh7OxW19+TWEX8g6L2dWkUt1QAosOAX7upUVOsldo9remWAK7p2Q0Hc+Hx7OQyMXlhNgWLyYBur035iR1BEcGttRFQg3ZbJ6KFJQ7V2ZjqWsdYpqC5r2c1V7RtBgAMRS6oPkc8UxAG25SivPIwBli92u6ZXFyUIOgdwS1kGxvX1cFtM6NQ4sgVq9Lmc3FF98x46iKClh4YDGszgjsaF+Ugm/wt9jUgCGLVWRWByzk/yTk/3WTY1QDOcs7Pc87zAO4D8MbWz44gLk1CiRxCCWpgf0nhHxT1beHzix+PjAClItC2pfVzYEyIXB1qcI0GI3bbN+O5UgilKrdizjkuzKbQH3DAZFTxZ8ceEPWAMufY7exGvpzCXKYyvpgH8mlVAjdbKCFXKOsqcLcEemGEBRdiGgRutgC3zay53yihEq29cNMiXVYXB2WJeSdl5feyp7JREq82msrGFLXVmslcRJdDP/FoNRlhtxgRS+sjcMeTE2AwYKN/gy7nIwhi7bKWa3B7AFTbTI5VHiMIogahZA6hJAncSwqzDfD2ALNnFvfUDJ0ETBbA278y89CpVRAA3ODZjDjL45cjz84/NhnLIpEtYmObU91JpT6hMtOUe93iT8XZuUods7TgVyFwpeiRngLXaDAiYNmA8dSo6nPEM8V5UUKsAjaPtnsmXakp16MHroRUFqCgXl1CygRISnW4pYKiTaF0Pot4cQa9Ln0/s3w6OilPpyfhNPphM+mTQk0QxNqlZQKXMfYrxtiLNb7kRmFrbUvX7arOGHsvY+xpxtjToVBI3aQJgiBWms5dQGp2oV1QIQuETgEdu0Sd30pg9egSwQWA24IbYYUJ3z39g/nHjo3HYDEZsLVTZT2x4lZBg2gzb0YsW0nVnBe4PsWX1rtFkESnoxfTmbHmA+sQzxZ0nxOhAKsbyKdkp80vIxMW/a0tOtbYSxFcFUZT7kot97zRlJR+LbOt1snZCwA4NvkGFV+7EXq2CgplpuG3dOpyLoIg1jYtE7ic85s557trfP1Q5inGAFTnuvQCqGM3CnDOv8w5P8Q5P9Te3q5l6gRBECtH+xVCyI4+Lv4/9pRIT96wf+XmYPNqW6xX4S5mcK39Cjw792ucmRvFxegcTk1Gsb3TDatJZXsOi0NEu2VGcA907cEb2j+NDmslxXuNRXABoNfVj2hhClkV/YeLpTKSuSIZTK0mVo/IulCbppwOi+itClfvupiswgBLhdGU02LEi6kf4NHx34gHJAMtmSnKJ2eFYdqO4GbF126E125GPJNHsaS+pZZEJD+NoI0ELkFcDqzlFOUjALYyxjYyxiwA3gbgR6s8J4IgCH0x24D+lwChM8DQr4DRJ4HOnYC7a+XmYKss1rVGccslIBvHXdvfBAD477/+S7znwffhp7OfwNUbNbrF2gOyI7hOixFGA0NCqifMRkWrE4vyFOlYugCHxahenNdho3cjOEo4M6s8TTmRLYJzwGOnFOVVY75/dFTd8Xq3CJKw+1VFcBljOJ3+JR6feUg8MB/BlbcpdC46DADY2bZJ8bUbcTL+e3x94h04Pae+Xh0ACsUiEsVZdDq6dZoZQRBrmdVqE3QbY2wMwGEAP2WM/aLy+AbG2AMAwDkvAvgggF8AOAngO5zz46sxX4JY69xx7+NI54rNBxJrk75rgMAmYOyIaBuy+aaVvb60iNVah5uNAbyMrR3b8J6dH8VY+jSmMudxx/a3wmPXWPfmCC4Y8zSBMQa3zYR4Rkq3jIrXqLIHrt7RWwDYFhAO2Sdnzyo+VjICasW8CJnYKxs2avrOloriXtGz/lZCQ6ugNusGzGQqiXLZ2IIBnQxGEyNwGH1oc/pUXbse3a4gSsjjTHhE03lG41PgKKHHRQZTBHE5sCrbv5zz+wHcX+PxCQCvrfr/AwAeWMGpEcQli9loQLvLutrTINRgNAF73yrSHS0uQKc2G7KZ74WrMYIrLaztPnzg0NvwliteBYPBgKBdXXueRTgCwNQx4YgswyTGYzNXRXC1tQhS1dqoCbs7RPr02UrkSwmScKca3FXE6hHttVQYOiETERkTejooS9h8wMwpkU1hUJZ10OXowdOzUopyfKGFmAwmU6Nos/YqnGxztrcNAgAuRNUbsgHAdDIKj7EbA15qEUQQlwNrOUWZIAgFmE0GtLtJ4F6yMCZShVda3AIL0U2tvXClaFbFzKnd6ddH3AKKjabcNtNCy5NsbFlfXjmUyhyJbLElkdIuVxBWgxujceWRqd9P/A5n0r+Ey0IpyquGwSDuGzXRUuk93JIUZZ+illrV9Lr7kCsnMZOKKG4RNJsbR7eOLYIkBn3dMMKM0fjF5oMbELD04/bOL+CGvut0mhlBEGsZErgEQRCXOwajqE/VI4JrMMpOa1SEwlZBHrsZqVwJxVxaOFOriOCenh3Gv0/+Kc4kn1R8rBxe1/0XuMJ9s+Ljfjf1cxxL/gAG6oG7uth86iK48z1wWyBwJadwFcJ7Y6Ut2anZC2KzS+Y9M5mYQ6Ycw6B3o+JrNsNoMMJr7sRUelzTeSR3aDcZsxHEZQEJXIIgCEKfXriZqFhg6+kMKzFf8yg/ggsAyWhFTKgQuEPhEWTLMbQ75EeylPCS7pvg5MpFQSgziYB1BU3IiNpIhk68bgfD2qRmxSaQqQUZNxpqg7f4BwEAZ8PDolxCZougYzNDAIDtgS2KrymHNls3Qtm6TTRkEc8UYLcYYTHRspcgLgfoTicIgiD06YWbjapKBZaF0SwW3HIjuJVITTouCVzl87oQE3V/2yp1gHrjd1iQzBWRLyprgRLOT6LDTm6wq47dBxRzQCGj7Lj0HOBsa8mURN2sSVUEd3twAAAwGjkr0pxlpiifmhNGabvaWiNwu5y9iOSnUC6rbxWUyBbnN70Iglj/kMAliHXAt+88jJ3drYkyEZcJNq+I2iiNRklwvhDBbRUKnJQlgZuNhyrHKk8HvZi4CANMGPS0Rkz6HWKO0bT8XrgzqQiy5TgGPAMtmROhADXpwJyL93ArDKaASi2/V1XqtM/ugsPow0SiUhcuu0XQeRhhwdZAawycel09KPAMplPyNrdqEc8WKD2ZIC4jSOASxDohlMghlMit9jSISxWbRziv5hLqji9mRTSrVRFcYKEXrgwR7rKZwBiQS8yK+mIV6aATqXF4zZ0wm1oT+fE7hRt0JF2QfcyJ0HkAwCaf/vWOhELm04EViMlcAigVWlN/K2H3qWtfBCBg6cZMplLvKlPgbnJci5s6/7xl98lgpTb45Ky6XricC7M4D0VwCeKygQQuQawTQskcQkkSuIRKpGiU2jrcJQ7KLcEREG2C8qmmQ40GBpfVhGIyvCBEFBLKTCBoa10qsNduBvv/t3fnwY2fdZ7H31/J8iXfR9vudvpI+sidkHQCIZBKSEIyXAF2GKAYYHeGgt2CHfhja5gZiiLsFlXAzkwVsDvLXQMDQ6B2uMnJDCSbISTp7nSSTpqkj/Thbrt9H7Jsybae/eP3k9vdlmzJbekny59XlUr2T4/kb/vpn6zv73me72MwkscI7svDXoJ7aasS3MClL+bkk0zGB7372gJNUQbv//v06IpmY2yo2cRg0p/1kOMU5Xp2cPumt+f9s3K1vcWbrXB0hVsFTc+kSM6mNIIrso4owRURkQvfC3fBHrgFk2ehqYbqCKnJoRWPlo3M9NFZs3FFz81FJByivjrCyGTuCe7R0WOAcVmbEtzAhSNQVZffCG56DXmhpiiDd5FpNpn/2mBgU103426ceCiS037TM3MpxqdnaK5dvu1KpdcGHx9bWYKb3i6sENt9iUhpUoIrIiJnpyOudC/cYo3gQs6FphojKeamYyvab7R/coRkapLu+sKsK0xrro3kNUX5VOwkDRXt1FZWFzAqyVm+WwXFh7zp8pXRgoU0f5FpBYWmtjRsxgFHchz9HYkncQ5a6wqX4DZURYmGmzkVW9lWQaNxJbgi640SXBER8UZrItUXNoJbWZvTqM+KVTV6FWJzHMFtDk2SnE2Rqs5/ivJLg8cA2NpY6AS30k8Sckso+qZ6aK/uLmhMkofa1pz/PwLeFkHRtsJspZWWvsi0gkJTl7VdAsAfkvGc2o9MesljIUdwwVsbfGZqZQnu2JQSXJH1RgmuSBl499eeIJ6YDToMWeuqm1ae4Ba6gjJAKOSNTuU4gmszp3nSejk9l/+POuKv97ukubDViptqIyRnU8STyweZSqUYTpxiY7SwSbfkIdoGyXhO68KBwlZQTlvJ2mDf1X6C+3Iyt5kcQ5MJzM5WBC+UDTWbGE70rui5Y1MzRKu0B67IeqKzXaRMRMIh2uvyrxQrMq+meUWjPoD3vEKuv02rbck5wR2ePsQ3w8+xbzT/kZ9XRr2tUna2bs77ufloma+kvPw63J7xfpIuri2CSkk6Wc1l+6rkpHeLthc2pvTa4BVMUW6yOT7M1eys2Z1T+8FYkubaSirChf04uamum5RzTM3kX0hxNJ7U6K3IOqMEV6RMRCpCtNcrwZULUNPsjeCm8hzynJvxqi8XemQKvPW006OQSi3bdGeF96H2yHhP3j/mxMRxouEWWmoKu790kz+1Mz3Vcyn7+l4E4PK2XQWNSfIQ9ashTw4u3zZ2xruv21C4eNKqm1a2VdDUCHdWbiYcyq2I2eBEgrYiXFh9364/5z2d32Aqmf/U7rGpGSW4IuuMElwREfHUNINL5T9NeWrU25JkBcWc8hZt8xLwHNY9bk7NUEGY4+P5V1/ti5+krarwa10bqiuorAgxOLn8yNSLg4cAuK7z0kKHJbmqavBGTHMZwY352+9Ei5Dg1jStaASXqVFqImH6k9WkUkuvC0/MzjE2NVOUC6vpC0Hp9bS5mp1LEUvM0lhT2DXCIlJalOCKiIhnfhuePKcpp5PNFW7Hk5e6Tu9+om/pdnMzhBNjtIab6Y3nP0V5MNFTlLWuZkZ7XRUD48snuIdHD1EbbmJTQxESJMmNmXfRJdcR3Kp6rxhbodU0exXR5/JLCJkeobq6mimrmd9eJ5vBmDetvjgJrjcCm8+e0QCnxoc4MbWPiorpQoQlIiVKCa6IiHjmE9zR/J6XHr2qyb9acd5qW71KyrFlEtz4EDhHe1UXA3lWXx2MjzHrZthcpLWu7Q1VDMQSy1ZS3hW9nbu7PlyUmCQPtW0QzzHBresofDywYG1wHhWeAaZGqapvATOGltmfeWDCuyjTVsAtgtJqImGqI+G89owGeLp3P48Mf47h2ZXtoSsia5MSXJEy8MOP3MTlXYVdKyjrQGXUm26Z7whufNgralNRhDXgoZC3hnHizNLtYv0AdEa3MjJzmlQOa3bTZmYqeX/n93jXjvdcSKQ56585wPdOfYT9fS9nbZNKOaJuO2+46O6ixCR5iLZDIrZ0JeW5We88qStwgam0fIpfLTQ1QrTRW1c8OLH0rIKBiQQ1lWHqqipWEmFezIyWaIThPBPcV8a8xHZX69YCRCUipSqQBNfM3mVmL5hZysyyluozs2Nm9ryZ7TezPcWMUWStGZhIzF9RF1kRs5VVUp4aLs7627T6Tm8Ed6kRz8kBCFXQ3bydWZfk+PgyI74LjEzOYGZsqIuuQrDL29K0gdhcP3v7DmRtMzY1w8ycozWqtYQlpz6HafOTA9769mKN4NY0e+dzPnv0OgfTo0SiLbREKzmzzN+T/olp2uuqsELu6btAU20lo/H8plyfnOihwqrY3FCk37uIlISgRnAPAO8EHsuh7W3OuWudc7nVrBdZpwZiCQZiSnDlAtU0rWwEtxjrb9PqOmA2uXScsX6ItnJx81YA/jD4Ss4vPxpPEjKjoUiVV6/t3EmYCAcGXszaJn1uq1J6Carv9JLJiSX2aR33p8k3bCpOTOGIVwArnxHc5KQ30lzTREdDFWfGsq9bTc6mGJxI0tVYvQrB5qYlWkksMcv0TO5V3nsne2iKdBAKacKiyHoSyBnvnDvonHspiJ8tIiJLqGnOeRseAGamvFtRR3C7vPvx05kfdw4mTkP9Rna1eNudHB4+lvPLj8RnaKypIBwqzshUdUUlHdUX8/LoC1nb9I1NUxGyomzJInmqqPKmBC81gjvWA9UN3q1YalvzS3DTbWtb2NBQTSwxSywxm7HpmfFpUs7R1VSzCoHmptmvpJzPKG7/1Ek6agpfLE5ESkupX9JywMNmttfMlqysYWYfNrM9ZrZnYGCgSOGJiJSZmmZvG57EeG7t40WsoJwWbfeSitEshWPiQ94Ib8NGtrd0Y4Q5MZF7kZnheJLmIk8Fvqz5Gk5NvcREIp7x8b6xadrrq4qWdEue6ju9Cy7Zps2Pnyre6G1aOsFdpnjZvPkEt5WOBm9k9sx45lHcbz3/LX428Je01YVXI9KctPjnZK7rcKdnk4zM9HFR/dYCRiUipahgCa6Z/drMDmS43ZPHy9zsnLsO+CPgo2Z2S7aGzrmvO+d2O+d2t7cXqYiDiEi5yXeroPQav2KO4IZC0LQZxk5mfnzBdNDKighNkQ56Ylnansc5x1g8Ob/vZrG8dtONpJjl0eOLy02kUo7+iWk6izgdVPJU3+VN8U1MLH5seszbsqex8Psqn6O2xZtynM/FqnAFVDWwob6KkFnWacrPDz0DlqS+unj/JxtrIoTMct4q6ODAKzjmuKTx4gJHJiKlpmAJrnPuDufclRluP8vjNU779/3AT4AbCxWvyFr27q89QTzLVDKRvNR6FVRznto4OQihsLd2t5gaL/I+kGdKKEZPQqR6flS5o2YzvfFjOb3s+PQsM3OOliInuG/Y+mqMEI/3PLnosTMT08zMOTYWcTqo5Ck9OpvpostY+oLLxuLFA/lXUo4Pec8xIxIO0VZfyanRqUXNZmZnOT55kO0NV65isMsLh4zGmoqcR3BfGDgEwGVtlxQyLBEpQSU7RdnMomZWn/4aeCNecSoRySASDtGu9XlyoSqjXnI4meNSj8lBL5EMFW+qIuCN4MLiacrOwcgxaN7qFf4BtjZczHDyNNMzy38wHvSLObUWYW/PhdqiTXRUX8yBoWcWPXZ8KI4ZXNRcW9SYJA91Hd55M3Js8WPDR73H6jqLG1O+e+GmE1zf5pZaesemSc6eux7/0RN7SaRi3LTxNasVac6ao5WM5jiCe2jkKABXdmwvZEgiUoKC2iboHWbWA9wE/MrMHvKPbzSz+/1mHcDjZvYs8BTwK+fcg0HEK7IWRCpCqrAqF87MW+M6OZhb+8l+r32xpROKoSPnHo8PeaO6fvVkgB3N23HM8fzA4WVfdijmfXgudoILcFXLbk7GD9I/ee708BPDcdrrq6ipLPJFBMldKARNW7wEd+GaV+dg+Ai0XOy1KabKqLdWPZdzeW7Gm0p9XoI7l3KLRnEfeeVRjBBv3Xnbake8rJZoJSPxGeZSy68rPj5+jLpwK601jUWITERKSVBVlH/inOt2zlU55zqcc3f5x087597kf33UOXeNf7vCOfe5IGIVEVl3atsgPrh8cZqZaW9tYRAJbigEbTth6JC3zjBt8GXvvuXsursbuq7l6rp3kEhWLPuyg7EEDTURqiqKn0y+bcfdpJjl/x58aP7YZGKW06NTbGstzp68cgFaLvbOh4XVlMd6IBmHlgCmyc5frOpfvu18gam2+UMbm2qIhI09Pcfmj6VSKZ7qf5TumsvYEG1e5YCX11ZXxVzK5bQO93T8OO3VqqAssh6V7BRlEREJSLTNS16TsaXbpacxRzcUPqZM2i/1qiUP+SOzzkHfAWi6CKrPjtpcueESbmj8U8JzrVle6KyhWIK2AEZvAW7Z/CrqKzbw8PH754+9dGYC52BXZ30gMUke2i/1puqfWbDdU99z3p60bTuDiamuw9sTermLVQsqKKdFwiFeSt7H55/7MyaT3ijuYyeeYTB5gjdueVOhIl5SS10FfYmDPNv38pLt5lJzDCZO0l23pUiRiUgpUYIrIiLnivqjOMtNbZxPcNuWblcozdu84lYnf+9PBT3qfVDvOLf4TSQcorEmwtBkYsmXm0s5hidnAttrNhQKcWf3PRyJPcO/n3iWuZTj2ZOjdDRU06r19aUvUg1tO7ykNhn3psr3vwgbLoeKYC6aULfBm368XFX0iT4IVSza7uvObbeQdHG+uvc+AL753D9SYVW8/+p8NsRYPY01FTw09Fl+cfSnS7Y7OHiMGTfFruZdxQlMREqKElyRMvDDj9zE5V0NQYch5aI21wR30PvgXh3QGrdQCDa/BsZ74djjcPhfvW2OOq9a1LS1rmp+fW02w5NJUs4Fsv427b/u/gCVoSj//Yn/wYMHjzAan+GmS5YfeZYSseV1MJeEQw/DSw+Cw/s/GpS6Du8+tsw05Vi/d6HqvGJxb9nxejbXXsEPD3+Lzz3+VZ4d+S13df9JYOtaqysqaa/ewisTh5Zst6fXq0l6XWdxKz2LSGlQgitSJgYmEgxMLD1CJZKTyqh3i/Ut3W6i15ue7FcrDkTnNd6o2bHHvSI5O+/KWNG5va6KkXhyUUXYhfonpufbBqUt2sQnrvkUvdOH+aeD3+ayrga2tqp68ppR1w5bXgv9B72p85fctmhUtKiibWAhiJ3J3sY571xPJ8MLhEIh7n3tp0kxx31H/jed1Tv41M0fK2DAy9tSt4Pe+FFSqeznckWqhUtr38j1XZcVMTIRKRXLV9wQkTVhIKbkVlaJmbdn53hv9japOW/UZ9N1xYsrk1AIrvwPXjGf6oaso8mdjdU45yWx3Vm22/n9qX3EXYiW6I5CRrys91/9VnZ3XUVvbJDbtnZgQV5AkPxtuwXadnmJZV0ABdgWCke8BHupEdzEuLfmvn5xggtww6Yr+MXbf8He3he5Y9trqI4EN8MBYEfzTp4cfIDj431sa8q8t3CUbbztor+gtrK6yNGJSCnQCK6IiCxW3+WtZ52Zzvx47AykZqFhU3HjysRsUWGp83U0eKOyZ8az/HuAHxz5Ek+Nf6skEsrL2rfyhm27SyIWWYH6juCT27T6Tpg4nb3Q1IQ/urvEPr1d9W28ZectgSe3ANf5SxB+d3LxntFpAxMJNmjbPJF1SwmuiIgs1tDl3Webppwe3U23K3G1lRU01EToG8s802E8MUl/4hV2NV9R5MhECqyx2yt6la3QVOyMd5GoLqBq6Hm6ufsawkR4undvxsdjiVkmE3NKcEXWMSW4IiKyWL2fuGabpjx+CqrqoGrtFDfrbKimL8sI7u9O7seR4lUdVxc5KpECa/T3gh07mfnx8VPeWt1wpHgxXYDaymo21e7k4MizGR/vHfW2NOps1PRkkfVKCa5IGXj3154gnpgNOgwpJ5EaryLx+KnMj4+f9pLgNTSFtrOxivGpGSYznCtP9+4H4PWbry9yVCIFVtvqnc+jGRLc1Jy3fr1pbe0Xe3nLtfROH2FsevFe3T2jU0TCxoZ6Jbgi65USXJEyEQmHAq3+KmWoaTOMnoDzq5VOjXi35q2BhLVSm5q84lInR+KLHtvb/yStlRfR3bA2pmmK5MzMm6Y81rP4sYk+b5/c9CjvGvHqrutxzPHo8cXTlE+NTNHVWEM4tHYuvonI6lKCK1ImIhUh2rXmSFZTyzaYTXjbAS00fNS7b95W/JguwIb6KqojYY4PnZvgjicmORY7wNWtrw4oMpECa9p89sLUQiPHzhZpW0Nu3XIDRohHT/77OccnE7MMxhJ0N9cEFJmIlAIluCIiklnTFu/D7/CRc48PHfUqFge5v+cKhELG5pZajg9NkkqdrSj7wKH/xxwz3HrR6wKMTqSAWrd794OHzj0++LK3JVhltPgxXYC2aBPbotewp/+xc44fHZjEObi4vS6gyESkFCjBFRGRzCprvZGfMy+e3WIkOemN4LbvWlPrb9N2dNQxmZijZ2Rq/tjPj/yS6lA9b9r++gAjEymg2hZv26KBP5w9NjXqTVFuDXbf55V6/abbGJ45xdOnXpg/dnhggsaaCG11wW9nJCLBUYIrIiLZdVzpTWscPeF933cAXAo612a14W1tUaoiIR4/5o1knRrv54XR33Fj++0lscenSMF0XAVjp7ykFuD0Pu8i1YbLgo1rhd57xZsJE+Ebz/4TACOTSY4Pxbm0q177R4usc0pwRcrADz9yE5d3rZ3tWmQNab/U2w7o6G+80dsTv/OKS9W1Bx3ZikTCIWaqnuHzBz7AY8f38dnH/54Uc3zomj8NOjSRwuq6Bioq4ehvYXocTj/jzcSoaQo6shXZ1LCBG9rvZM/gv3J8ZIgnXxkiZMY13U1BhyYiAVOCK1ImBiYSDEwkgg5Dyk1FJVx8m7cf7hP/4FVc3X570FFdkPddfSe14Ub+4rcf4omBX3Fr1zt5VdeuoMMSKaxItXcuD78CT37Vm4mx9Zago7ogf/Paj/PWzk/zs33DHOydYPeWZqJVFUGHJSIBC+RdwMz+J/BWIAkcAf6Tc240Q7u7gS8BYeCbzrnPFzNOkbVkIKbkVgqk80rvw/DIMW8UqG5tb6XTFm3iq3d8k6/s/QYbo5v49Os+GnRIIsWx8VXe/VgPbLoeoq3BxnOBtjVt5GM33cW+EyO01VVy3ebmoEMSkRJgzrnlW632DzV7I/BvzrlZM/sCgHPuk+e1CQMvA3cCPcDTwHudcy8u9/q7d+92e/bsWf3ARUrYVfc+BMDz994VcCQiIiIiIoVjZnudc7szPRbIFGXn3MPOuVn/298D3Rma3Qgcds4ddc4lgfuAe4oVo4iIiIiIiKwtpbAG98+ABzIc3wScXPB9j38sIzP7sJntMbM9AwMDqxyiiIiIiIiIlLqCJbhm9mszO5Dhds+CNp8CZoHvZ3qJDMeyzqd2zn3dObfbObe7vX1tVvcUWal3f+0J4onZ5RuKiIiIiJSxghWZcs7dsdTjZvZB4C3A7S7zQuAe4KIF33cDp1cvQpHyEgmHaK+rCjoMEREREZHABDJF2a+O/Engbc65eJZmTwM7zGybmVUC7wF+XqwYRdaaSEWI9noluCIiIiKyfgW1Bvd/AfXAI2a238y+CmBmG83sfgC/CNXHgIeAg8CPnHMvBBSviIiIiIiIlLhA9sF1zm3Pcvw08KYF398P3F+suERERERERGTtKoUqyiIiIiIiIiIXzDLXd1rbzGwAOB50HEtoAwaDDkIWUb+UHvVJaVK/lB71SWlSv5Qe9UlpUr+UnlLvky3OuYxb55RlglvqzGyPc2530HHIudQvpUd9UprUL6VHfVKa1C+lR31SmtQvpWct94mmKIuIiIiIiEhZUIIrIiIiIiIiZUEJbjC+HnQAkpH6pfSoT0qT+qX0qE9Kk/ql9KhPSpP6pfSs2T7RGlwREREREREpCxrBFRERERERkbKgBFdERERERETKghLcAjKzd5nZC2aWMrPd5z3212Z22MxeMrO7Fhy/3sye9x/7splZ8SNfP8zsXjM7ZWb7/dubFjyWsY+kOMzsbv93f9jM/iroeNYrMzvmvyftN7M9/rEWM3vEzA75981Bx1nuzOzbZtZvZgcWHMvaD3r/KrwsfaK/KQEys4vM7DdmdtD//PVx/7jOlQAt0S86XwJkZtVm9pSZPev3y2f942v+fNEa3AIys8uAFPA14L8559IfDi8HfgDcCGwEfg3sdM7NmdlTwMeB3wP3A192zj0QRPzrgZndC8Scc3973vGsfVT0INchMwsDLwN3Aj3A08B7nXMvBhrYOmRmx4DdzrnBBce+CAw75z7vX3xods59MqgY1wMzuwWIAd91zl3pH8vYD3r/Ko4sfXIv+psSGDPrArqcc/vMrB7YC7wd+I/oXAnMEv3yJ+h8CYw/iBZ1zsXMLAI8jpeDvJM1fr5oBLeAnHMHnXMvZXjoHuA+51zCOfcKcBi40X8DaHDOPeG8Kw/fxXsDkOLL2EcBx7Se3Agcds4ddc4lgfvw+kRKwz3Ad/yvv4PepwrOOfcYMHze4Wz9oPevIsjSJ9moT4rAOdfrnNvnfz0BHAQ2oXMlUEv0SzbqlyJwnpj/bcS/OcrgfFGCG4xNwMkF3/f4xzb5X59/XArrY2b2nD/dLD0NI1sfSXHo9186HPCwme01sw/7xzqcc73gfXABNgQW3fqWrR90/gRLf1NKgJltBV4FPInOlZJxXr+AzpdAmVnYzPYD/cAjzrmyOF+U4F4gM/u1mR3IcFtqtCnTulq3xHG5AMv00f8BLgGuBXqBv0s/LcNLqS+KR7//0nGzc+464I+Aj/rTMqW06fwJjv6mlAAzqwP+BfiEc258qaYZjqlfCiRDv+h8CZhzbs45dy3QjTeb9Molmq+ZfqkIOoC1zjl3xwqe1gNctOD7buC0f7w7w3G5ALn2kZl9A/il/222PpLi0O+/RDjnTvv3/Wb2E7zpSGfMrMs51+svregPNMj1K1s/6PwJiHPuTPpr/U0Jhr+W8F+A7zvnfuwf1rkSsEz9ovOldDjnRs3st8DdlMH5ohHcYPwceI+ZVZnZNmAH8JQ/DWDCzF7jL/z+APCzIAMtd/6Jm/YOIF0NM2MfFTu+dexpYIeZbTOzSuA9eH0iRWRmUb8gCGYWBd6Id478HPig3+yD6H0qKNn6Qe9fAdHflGD5n52+BRx0zv39god0rgQoW7/ofAmWmbWbWZP/dQ1wB/AHyuB80QhuAZnZO4CvAO3Ar8xsv3PuLufcC2b2I+BFYBb46IIKZP8F+EegBnjAv0nhfNHMrsWbYnEM+AjAMn0kBeacmzWzjwEPAWHg2865FwIOaz3qAH7ifTahAvhn59yDZvY08CMz+3PgBPCuAGNcF8zsB8CtQJuZ9QCfAT5Phn7Q+1dxZOmTW/U3JVA3A+8HnvfXFQL8DTpXgpatX96r8yVQXcB3zNu5IgT8yDn3SzN7gjV+vmibIBERERERESkLmqIsIiIiIiIiZUEJroiIiIiIiJQFJbgiIiIiIiJSFpTgioiIiIiISFlQgisiIiIiIiJlQQmuiIhIgZlZq5nt9299ZnbK/zpmZv9QoJ/5CTP7wAqeV2lmj5mZthIUEZE1R9sEiYiIFJGZ3QvEnHN/W8CfUQHsA65zzs2u4PmfAQ47576/6sGJiIgUkEZwRUREAmJmt5rZL/2v7zWz75jZw2Z2zMzeaWZfNLPnzexBM4v47a43s0fNbK+ZPWRmXRle+g3AvnRya2a/NbMvmNlTZvaymb3eP36Ff2y/mT1nZjv85/8UeF/BfwEiIiKrTAmuiIhI6bgEeDNwD/A94DfOuauAKeDNfpL7FeCPnXPXA98GPpfhdW4G9p53rMI5dyPwCeAz/rH/DHzJOXctsBvo8Y8fAG5YpX+TiIhI0Wh9jYiISOl4wDk3Y2bPA2HgQf/488BWYBdwJfCImeG36c3wOl3AwfOO/di/3+u/FsATwKfMrBv4sXPuEIBzbs7MkmZW75ybWI1/mIiISDEowRURESkdCQDnXMrMZtzZQhkpvL/ZBrzgnLtpmdeZAqozvTYw578Wzrl/NrMn8UaNHzKzDznn/s1vVwVMX9C/RkREpMg0RVlERGTteAloN7ObAMwsYmZXZGh3ENi+3IuZ2cXAUefcl4GfA1f7x1uBAefczKpFLiIiUgRKcEVERNYI51wS+GPgC2b2LLAfeG2Gpg8At+Twku8GDpjZfuBS4Lv+8duA+y80XhERkWLTNkEiIiJlyMx+Avxlel1tns/9MfDXzrmXVj8yERGRwtEIroiISHn6K7xiU3kxs0rgp0puRURkLdIIroiIiIiIiJQFjeCKiIiIiIhIWVCCKyIiIiIiImVBCa6IiIiIiIiUBSW4IiIiIiIiUhaU4IqIiIiIiEhZ+P+m/mplydNf2QAAAABJRU5ErkJggg==\n",
"text/plain": [
"<Figure size 1152x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"##########################\n",
"##########################\n",
"calc_shift, err = lag_gridsearch(grid, signal_1.sample_rate, sig_2, sig_1)\n",
"print(signal_2.t_0, \"=\", calc_shift, \"\\pm\", err)\n",
"\n",
"if True:\n",
" signal_2.periodic = False\n",
"\n",
" fig, ax = plt.subplots(figsize=(16,4))\n",
" ax.plot(double_signal_time * ns, sig_1, alpha=0.5, label='Regular')\n",
" ax.plot(double_signal_time * ns, sig_2, alpha=0.5, label='Shifted')\n",
" ax.plot((double_signal_time) * ns, signal_2(double_signal_time + calc_shift), ls=(0, (10,)), label='Recovered')\n",
"\n",
" \n",
" ax.axvline(calc_shift * ns)\n",
" for i, _ in enumerate(err):\n",
" ax.axvline((calc_shift + err[i]) * ns, ls=(5*i, (4, 4)))\n",
"\n",
" ax.set_xlabel(\"Time (ns)\")\n",
" ax.set_ylabel(\"Amplitude\")\n",
" ax.legend()\n",
"\n",
" plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.10.2"
}
},
"nbformat": 4,
"nbformat_minor": 4
}