m-thesis-introduction/simulations/02_discrete_signal_translat...

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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Translation of a discrete 1D signal\n",
"\n",
"\n",
"#### wave equation\n",
"\n",
"$$\n",
"\\frac{\\partial^2 u}{\\partial t^2}\n",
" = \n",
" v^2 \\frac{\\partial^2 u}{\\partial x^2}\n",
"$$\n",
"\n",
"\n",
"##### simple sine solution\n",
"\n",
"$$\n",
"u(x, t) = \\sin\\left( \\frac{2 \\pi x}{\\lambda} -2\\pi f t\\right)\n",
"= \\sin\\left( 2 \\pi f \\, ( \\frac{x}{v(f)} -t) \\right)\n",
"$$\n",
"\n",
"$$\\lambda = \\dfrac{v}{f}$$\n",
"##### plane wave per mode\n",
"\n",
"\n",
"\n",
"$$ \n",
"u_f(x,t) \n",
"= \n",
" A \\exp(- 2\\pi i f \\left[ \\frac{x}{v(f)} - t \\right] )\n",
" +\n",
" B \\exp(- 2\\pi i f \\left[ \\frac{x}{v(f)} + t \\right] )\n",
"$$\n"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"\n",
"import numpy as np\n",
"import scipy.fft as ft\n",
"import matplotlib.pyplot as plt\n",
"import matplotlib.gridspec as gridspec\n",
"import matplotlib.ticker as tck\n",
"\n",
"rng = np.random.default_rng()"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"class TravelSignal:\n",
" \"\"\"\n",
" Model an arbitrary digitised signal that can be translated to another position and time.\n",
" \"\"\"\n",
"\n",
" def __init__(self, signal, sample_rate, t_0 = 0, x_0 = 0, periodic=True, interp1d_kw = None):\n",
" \"\"\"\n",
" Initialise by saving the raw signal\n",
" \n",
" Parameters\n",
" ----------\n",
" signal : arraylike\n",
" The raw signal to wrap.\n",
" sample_rate : float\n",
" Sample rate of the raw signal.\n",
" t_0 : float, optional\n",
" Time that this signal is sent out.\n",
" x_0 : float, optional\n",
" Location that this signal is sent out from.\n",
" periodic : bool, optional\n",
" Translated signal is 0 if it is not periodic\n",
" and the time/distance is outside the samples.\n",
" interp1d_kw : bool or dict, optional\n",
" Use scipy.interpolate's interp1d_kw for interpolation.\n",
" Set to True, or a dictionary to enable.\n",
" Dictionary will be entered in as **kwargs.\n",
" \"\"\"\n",
"\n",
" self.raw = signal\n",
" self.periodic = periodic\n",
"\n",
" self.sample_rate = sample_rate # Hz\n",
" self.sample_length = len(self.raw)\n",
" self.time_length = self.sample_length*sample_rate # s\n",
" \n",
" self.x_0 = x_0\n",
" self.t_0 = t_0\n",
"\n",
" # choose interpolation method\n",
" if not interp1d_kw:\n",
" self.interp_f = None\n",
"\n",
" else:\n",
" # offload interpolation to scipy.interpolate\n",
" import scipy.interpolate as interp\n",
"\n",
" interp1d_kw_defaults = {\n",
" \"copy\": False,\n",
" \"kind\": 'linear',\n",
" \"assume_sorted\": True,\n",
" \"bounds_error\": True\n",
" }\n",
"\n",
" if self.periodic:\n",
" interp1d_kw_defaults['bounds_error'] = False\n",
" interp1d_kw_defaults['fill_value'] = (self.raw[-1], self.raw[0])\n",
" \n",
" # merge kwargs\n",
" if interp1d_kw is not True:\n",
" interp1d_kw = { **interp1d_kw_defaults, **interp1d_kw }\n",
"\n",
" self.interp_f = interp.interp1d(\n",
" np.arange(0, self.sample_length),\n",
" self.raw,\n",
" **interp1d_kw\n",
" )\n",
" \n",
" def __len__(self):\n",
" return self.sample_length\n",
" \n",
" def __call__(self, t_f = None, x_f = None, **kwargs):\n",
" \"\"\"\n",
" Allow this class to be used as a function.\n",
" \"\"\"\n",
" return self._translate(t_f, x_f, **kwargs)[0]\n",
" \n",
" def _translate(self, t_f = None, x_f = None, t_0 = None, x_0 = None, velocity = None):\n",
" \"\"\"\n",
" Translate the signal from (t_0, x_0) to (t_f, x_f) with optional velocity.\n",
" \n",
" Returns the signal at (t_f, x_f)\n",
" \"\"\"\n",
" \n",
" if t_0 is None:\n",
" t_0 = self.t_0\n",
" \n",
" if velocity is None:\n",
" velocity = 1\n",
"\n",
"\n",
" ## spatial offset\n",
" if x_f is None:\n",
" spatial_time_offset = 0\n",
" else:\n",
" x_f = np.asarray(x_f)\n",
" if x_0 is None:\n",
" x_0 = self.x_0\n",
"\n",
" spatial_time_offset = np.sum(np.sqrt( (x_f - x_0)**2 )/velocity)\n",
"\n",
" ## temporal offset\n",
" if t_f is None:\n",
" temporal_time_offset = 0\n",
" else:\n",
" t_f = np.asarray(t_f)\n",
" \n",
" if t_0 is None:\n",
" t_0 = self.t_0\n",
" \n",
" temporal_time_offset = t_f - t_0\n",
"\n",
" # total offset\n",
" total_time_offset = spatial_time_offset + temporal_time_offset\n",
" n_offset = (total_time_offset * sample_rate )\n",
"\n",
" # periodic signal\n",
" if self.periodic:\n",
" n_offset = n_offset % self.sample_length\n",
"\n",
" # non-periodic and outside the bounds\n",
" else:\n",
" mask_idx = np.nonzero( (0 > n_offset) | (n_offset >= self.sample_length) )\n",
" n_offset[mask_idx] = 0\n",
"\n",
" # offload to scipy interpolation\n",
" if self.interp_f:\n",
" amplitude = self.interp_f(n_offset)\n",
" \n",
" # self written linear interpolation\n",
" else:\n",
" n_offset_eps, n_offset_int = np.modf(n_offset)\n",
" n_offset_int = n_offset.astype(int)\n",
"\n",
" if True:\n",
" amplitude = (1-n_offset_eps) * self.raw[n_offset_int] \\\n",
" + n_offset_eps * self.raw[(n_offset_int + 1) % self.sample_length]\n",
"\n",
" # use nearest value instead of interpolation\n",
" else:\n",
" amplitude = self.raw[n_offset_int]\n",
"\n",
" if not self.periodic:\n",
" amplitude[mask_idx] = 0\n",
" \n",
" return amplitude, total_time_offset"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Testing:"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Interpolation: Sine wave"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
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AXkVe6wuOG++7OFVqNCtPXQgFu4w3I80F6NKiSQghhBBC/HSZG+H9XxirwQCo0OcqIxux12VgqkmUbYX7gTVdY8fRHaQUpmBSTCzNXMreY3sbnDM7bjbv7HoHDQ0Fhcu6X8a6nHXuLaS1Gbe+VhtJguEm+Hqf4cabzeuvJs+bNI+v07/mm8PfNEiDt6gWXJoLs2pmcPhgerXvhcPl4KroqxjW+bx/B3yPrkPedvj2YchLqTve91r41dtgbeO9sQkhhBBCCN9XlgspC2DzG+CorDmowNgH4LKnvTiwC2dj7ka+y/gOVVEprCzEVmTDpbvcmapBliBKqksAUFG5c9CdjO4yukE80tQqr6+RYLgJvh4MN/Zj6dZXRV/FV4e+QkNDRcXf5M9J10n343uG9GTepHkUnyomKT+JhIgEn/2l/cmyk4zm5s7qmgM6+IcY6SzDboPQnl4dnhBCCCGE8CG6DhnrYNt82P+d0dGkWwLkbzeyDVtRCrSma3yb/i2HSg8xMXIi+4/v57mtz7nvj2obRbBfsLtas0kxMS12Gl8f/rpB4OsLq7w/hwTDTWhpwfCZnG31+Nqe1/JZ2mfuVIaIoAieGf0Mc1bOodplBI2XRl5Kv9B+VLuqmdBtQov5pT6j+i2aNAckzYf9S0BzGqkt0ROM/R3R41vFG5sQQgghhPgJspPg0AqorjD+LD4AAR1gyM0w9PfQIbpVpEDbimz8kPkDqqKSX5nPlrwtnHCccNceujL6Sr469BU6OibFxJzBcxjWaViLXPU9FxIMN6E1BMONnS04rq2uVr//llkxu0uZKyj896r/Eh8ez7aCbew4uqPF//JTnm/sK976Hzh13DimWmDGx9BzknfHJoQQQgghPGP35/DZLNBdxu2w3jD2j9D/V0YXkxbMVmRjWdYyooOjiW0fy6xls9wLX6H+oYS3CWf/8f3u4Lc1rfqei+YKhltda6XWKD48vsEvb+Py4tCw/9Y1Mdfw+cHP3cFxbVun23+43f2CeSzhMWLbx2IrsrW8F0dwBFz6uFH6fvVzuNszffRbI316xJ1Gk3QhhBBCCNG61KZCb3kD0pbWHVdUGHQjxP/Oe2P7mWoD1n6h/ThhP8HXh75mXe46wFjY+nXvX+OoKQCmojKj7wyGdx5+WvbotT2vPS1GaBxHiIYkGG6BGv9Sx4fHNwiQAZakL3G/OIZ1Gsa2gm3u8126i+e3Pg/UtXVqkbNHMRNg/dy69kw9xsK2d4wV40umwsg/QPcx0rNYCCGEEKKlc1TB7k9hy5tQuBvahEH8TcYxl8PYD9xjnLdHeU5qr7eHdhpKzokcntn8DHaXHRRjL7DVZHWfq9T8V3/ha3jn4add/9cPfsW5kzTpVupshbnMqpmhnYayKW8TYLR1urnfzSzPXE7ByQL3izBxSqLvv6Aa7wEpz4dtiZD8rpFC3Xkg9L4STBaIubTF7hMRQgghhLjoZCcZq78niuDgUqM3cHh/Y8Ej7jdg8W9x+4E35W1izso5ODSH+5iK6i6WO633NKbGTOWu5Xe1yr2+zUX2DDdBguGmnW3v8V9G/oW3dr5F9ols9/l9O/TljoF3kFme2fJeeI5TsPN/sP5fUJplHFPN8LuPoddk745NCCGEEEKc3a5P4fM76vYDR46AiU8YRVNbUNafrcjGtoJtDO88nHJ7OfeuuhdN19z3J3ROYMfRHT/a11c0JMFwEyQYPndnWj2etWwWdpcdRVHwU/3Q0HC4HJhUEzP7z+TmfjeTVZ7Vcl6c6+bCqmehZv80Jisk3GHMKLbr5tWhCSGEEEKIRo5sgY2vwoHv6o4pJpj0BIx7yHvjOke119ddgrqQUpDCJ2mfAOBn8uOfE/7JdxnfsSJrBS7dJau+50GC4SZIMHx+6gfISflJ/Nv2b3chLjD2LdRqEanU2Umw8Lq6fcXdx0DGWmNGMe43MPpe6NTf26MUQgghhLh4aRqkfW8EwdlbIaA99LkGdn9Stx+4BfQH3l60nd8v/T2u2tXsemrbHc2KmyWrvs1AqkmLC+K0ytW75rtTqf888s98c/gbdzGuale1u1L1prxNjO4y2vde0JEJxptn/b0kpUdg8xtGe6Ydi6DX5RA7BapPQHTL2G8ihBBCCNGiZSfB4dXG1rb9S+DYQQiJgqtegsEzwBoIQ2/x+f3A36V/x+rs1czoO4OUwhR3IKygMDVmKiuyVjQoagtS4dmXyMqwOKumCnHZXXbMqpnHEx7nhW0vUO2qRlVUbh9wOzMHzCS9NN33Z7xOHofkd2Dj61BdZhwzWeGWb6D7SO+OTQghhBCitTq8Bj6cBprTuN2hJ0z8M/T7JZh8d62u9ro4MiiSrBNZfHHoC3JO5ABGGvRjwx/jhW0vNNj/C5ICfSG0ijRpRVHeBa4BinRdH3CG+xXgVeBq4CQwU9f11LM9pwTDF179ADm5MJnXU19vkEptUkzo6KAbqdS1hQB81poXYM3fgZrXQmBHuOJ56H+9T78hCyGEEEK0KCePGy0wN74CzirjmKLCxCdhvG/vB65dEKp2VRvXuUBEYAQFlQXo6O406NrrYwl+L6zWkib9HjAP+G8T918FxNZ8jQDerPmzSUUnqknJKmFo9/ZnvD8lq4Qt6ccYGRN6XudczBqndtTve/Z4wuN8efhLbEU2AByag6WZS8koz6D4ZLG7L5pP6TkRNrxcs69YBUsb+Hw2rH4OxjxgNG83+3l7lEIIIYQQLdOJAtg8D7a9C45KiBoNuSnGyrDJamxT80FJ+Ul8kvYJeRV5dA/ujt1lR0dHQWFm/5lMiprUoDtLbQDsc9e6PqK54rCUrBJMQaGdm2NMXk+TVhSlB7CkiZXh/wBrdF1fVHP7AHCpruv5TT2fX0SsHnHrK7SxmPCzqJhUFYtJwaQquDSdgrIqdIz6SfGRIXQNCSDIz0ygn5kgPzOlJ+18lHQEp0vHYlJ56dcDGd+7I+0CLKhqXfEoCZjrNFWVujZFpGdIT/Yc2wOAWTHzysRXmBA5wbeKB9TvUdd1mFHEYd0/IS8V2kbUFNoaALnJPr1vRQghhBDC62qvq0JjIX0NbP8ANAcMmAZjH4RO/XyuP3D961JVUXln1zusyl7lvv/6XtfzXcZ3DXr/SgukOk3FRg6XxvFKO+vSjvLEF7txuDRMqsKNw6MIaWOhotpJRbWTymoneaWn2Jlbhq6DAnQK9sOkqjg1DZem43Dp2J0apxwu8t97gOqCg+fdY8vXg+ElwD90Xd9Qc3sl8Jiu68mNzrsDuAPA2rnX0C63vsKQ7iH079IOh0vHpWk4XTr78svZV3DC/bhOwX4EWs3uH8JJ++mV32qZVIUOgVbCgvywmhR21fygTKrCw1f0YXxsR7q2D6BdgMX9mIs5YK7/xrAhdwNv73zbnVKioDAxciKb8jZhd9l9N5Va1yF9tdGrOHN9zUHFWCW+9RufeOMWQgghhPAp2Umw8BpwVhu3FRMMvgnGPgAdYrw7tibULuQ4XA4sJgttLW0ptZfirNnTLCnQp8c1mqZTXFFNTukpNhws5rWVB3FqOqoCfTq3xe7UKK6wU3bK0eRzqgoE+plpW7MwWVHtJL+syn1/34i29I0IxqKqmEwKFlVhd145qVkl5C18gOr88w+GvZ0m/WPO9A88LXrXdf1t4G0wVob9LCp/vrrfaQFoSlYJMxK34HBqWMwqb8wY2uAcl6az6XAxsxYm43BpmFWVeyb1ItjfTHFFNccq7BRX2NmTV4ZWMwqnpvOP7/fzj+/3A9DWz0zX9sZq8/bsUjRNx2JSePm38Vw5IAKT2nKahJ+PxikiC/csxKE5MCkmLu9xOeXV5dhddjQ0ql3VfJ/xPeBjBQYUBXpOMr6+eQBSFgC6scdl1XNww0IICPH2KIUQQgghfMPRNFjyx7pAGMXIrrv8b14d1pnYimxszd+KSTXx9aGvqXYZY3ZqTi7vcTkTIydy36r7LuoU6CqHi/SjlazYV9gg2A1v68fxSgd2l3baYzQdTlQ5GditHWOC/AgN9CM0yEr5KQevrDiIU9OwmFQWzBzOqJ6hGCWiDI1jtWd/GddkPEczrej6+srwT06TjuoTp3+xbN0F3TNc/wdlNqn87Rf9aetnIbf0JLklp8gtPcWO7FKOVtgbPM5qVokODaRneCAxYUH0DA/E4dTIK61iXO+OrXr1+GxVqWuLb9X2MPbJ/sXufsU1b+66Bn7tYOQfYORdRj88IYQQQoiLUdF+WPci7P7c2AOsu4wMOx/tD7wiawUPr33Y3QYp0BxIlasKHR2rar3oUqBX7itk2d5C2gVYcLg00o9WcvhoBbmlpzhTqHhJ57ZM6NORbiEBdG0fQNlJJ3/6fCcOlxHEfjhrZJMxVHPtGR4xIDbXeaK423n9w/H9YHgqMAejmvQI4DVd18/6avJUNemfEjCbTCqzx0bj1HUOF1WSfrSCrOMncWl1/+8VYFTPUMb0CqNfl2D6RwQTHux/Tt+rpap9g+nboS+L9y9mTc4a930z+s7g8YTHfetNqP7eFrMfrH3R6IvnFwwj7jIC4zYdvDtGIYQQQghPKdxrBMF7vjQKkCbMNlaCj6f73H7grflbGRA2gDFdx/D0pqf57OBnAKio3B1/NyMiRvjONWczqh9HxEeGkHmskj155ezNK2dvfjk7sksbpDJbTSq9OwfRs6PxFdMxELtT48+f7zprsOvpeKW1tFZaBFwKhAGFwFOABUDX9bdqWivNA67EaK30+8b7hRvzpdZKZ/ulsDs1/rF0Pws2ZLjzvtsFWBr8MoYF+dGtfQC7csvQNB2rWeWj2WeeaWnp6q8UK4rCgisXoKDw+x9+j0tz+eZqMUDBLiMo3vc1WNtC32ugXTeIneITb/5CCCGEEM1ux2KjPVLRPrAGQcIdMGoOBIZ6e2SnWZa5jEfXPYpLd2FSTLx35XsADYq9+mTtmvPk0nS+suXy2Gc7cbh0FAUsqupObbaYFGLD26IqsCevHB1jD++Dl/dmzqTY057P1xbnWkUwfCH4UjD8YxrnxX84aySxnYLYVzNTszevnLVpRyk6Ue1+TJCfmfG9wxgc2d5dJMzfYvK5X9Cfo/EqcOKuRF5NfdV9/4CwAdzY50aOnjrqe7N2hXvg+8chc51xWzXDjE+M/cZCCCGEEK3B0TT47iHIqHe9M/1/EHuZd8fViK3Ixidpn5BRlsGu4l3u4yoq9w65l1lxs3wr+/Bnqn/9Hx0WiC27hNSsUlKPlLAju5TKRsWBh3YPYXpCd/pFBNMrPAirWT1jPNISYgkJhpvQkoJhOPd0a7tTQ1UURsaEknW8kuzjpwBjVqd7aCAZxZWtbvW4/moxirGn2KW7UFDwM/n53ize+rmw6lljPzGA2R8mPAYj7gRroHfHJoQQQgjxcx3PgLUvwM7/GdWhNSegG3+f9ASMe8jbIwSgrLqMjLIMZi+bTZXLqEo8oesEthRsaVWrwLqu882OPB76eAcOTUehrsKwSVXoG9GWwZHt6RBo4a216TibYS+vr5FguAktLRg+F2f6BS06UcX2I6VsP1LKkp155JSccp8fFmRlalwEI2NCGRETSodAq7eGft6aatFkUkxMv2Q6J50n6eDfgQndJnj/jc1dZMtuzJRGxEPOVgjsaHxIDP09WPy9O0YhhBBCiHNVlgvrXoLt7xvXNsNnQfQE+PgW43rHBwpk2YpsfJvxLbknctmav5Vf9voln6Z9iobWaloi6bpORnElW9KPszn9GFvSj3G0XuYowPjYjtwzsSdx3drRxlrXMKglBrrnQoLhJrTGYPjHNF497t8lmLTCCk45jNSISzq3ZWRMKOHBflTZXUzoE94iXwy1K8W1Je4v7XYpS7OWAqAqKk+NeorrY6/37iAbN5A/shVWP2ukE7XtAhMegbA+kL3FZ4pKCCGEEEK4ZSdB2lJjNXj/t0bG29BbjYn94C5153i5QJZTc5K4K5E3bG+g16yLTo6azNSYqfx5/Z/d14stdSX4+135fGnL5ZTdxYHCExSWG8FveFs/RvUMJaKdPws2Zv7oqm9rJcFwEy7GYBhOn/WxOzV25Zay+fAxtqQfJynjGHaX8bNWFJg+PJLpCd3p3yUYtQX1Pq6/UpxcmMzrqa+7W57H8JgAACAASURBVDMBjIgYwZz4Ob43+5e+1kihzknC3T7b7O/12VQhhBBCCLeDK2DRb2vSoIHYK+Dql6B9d++Oq57UwlRSi1KJC43jnlX3uPsDq4rKvYNb7n7gKoeLzenHWHvgKD/sKSC/rMp935ieoVw9MIJRNXuDa3vzttZV33MhwXATLtZg+Me8tjKNV1YcRGv04w4LsjI+tiMT+nRkXGzHmhSMlvGiqr9SbFbN3ND7BqpcVXxz+BvsLjuqqjJv0jzGdB3j7aEadB2+vBt2fFR3bMA0uD4RVNV74xJCCCHExa2qHLa8adQ/qQkufW0/cHpZOi8nv8zanLUoKFhNVm6Lu413dr3T4vYDG0FsMZEd2lB8ws6atKNsTT9GtVPDz6zSJSSAzOJKdMCkwINT+nDPxF7eHrZPaa5g2Pzjp4jWYEyvjryx5rC7UtwbM4ZQetLBmgNHWX2giM+35wLGqjE6RiGuWSMY2sN3++bGh8czf8r80ypQ2112NDQ0TWPOqjlMipxEl6AuTI6a7N03SEWBYb+HPV8YHzS6Drs/MyozTnoCel9Z8wMQQgghhPAA+0nYNh82vAKnjkP3MZCbDC6nsR+4xzivDs9WZOOLg1+QXpaO7agNk2JCr/mvNg06cUpii1kFdrg0PticxbPf7cNVb4UqpmMgvxsRxaV9whkR3YE9eeUNKjyPjPG9llWthawMX0SaSqVwaTo7c0p56YcDbDp8zH08pI2FG4ZFMqVfJwZHtcfUAtKp668WmxQTl3S4hJ3FOwEjfea1ia8xIXKCdwdZu88majSUHoE1f4eSDOg6DCY9CTGXSlAshBBCiAvHWQ0pC2H9P6GiEHpONibmuw71if3AYFzT3fbDbTg0BwDXx17P5KjJPLTmoRa1H7iy2sm6NCP1edX+IsqrnO77FGD2+Bj+fHXf0x53MadAnwtJk26CBMM/X/0+Y6qq0L9LO/bkleFw6YQFWbmsbyem9O9EgMVE6pFSn31xnm1f8T3x93DXoLtYnrmcjLIMEiISvP8m6nKA7SNY+yKU50D3sRA3DU6VeP2DSAghhBCtSNYm2PKGUeCzsshYCZ70JHQf7e2RAbApbxPv73mf2PaxBPsFu6/haqtCt4T9wClZJazaX4iu6xwoqGD9oWLsTo32bSxM7tuJnh0DeXXFQRwXaeGr5iLBcBMkGD4/jWehyquMVOplewpYc+AoFdV1s1kWk8J/b0tgVM8wL4747BrvK06ckoima8xcOhMdHbNqZv7l8xnW+bxfS+fPWQ0p78Hqv0NViXHM5Aczl0hALIQQQoifT9OMVeDVz2P0B1bgiudhxB98Ihut+FQxc5PnsiR9CWBk8z054kle3PZii1kFLq6o5j9rD/POhgx3jZ6wICvXDerKlP6dGNa9PWaTUSNGVn3PnwTDTZBg+MKpdrp44otdfJqS6z5mNalcMyiCawd2YUyvMKxm3ysE1XgG8e0dbzPPNs9dhj/QHMh1Pa8jxD+E0V1Ge/+Nds0/jK/a9umdB8JvP/CpSo5CCCGEaCHS18KKpyBve90xHyiOVXt9VlpVyqL9i3BoDve1WUvpD1x60s7S3QV8szOPzYePNShUqyrw0JTe3DMx1nsDbMUkGG6CBMMXVv1UapOqMrZXKMlZJZRXOWkXYOHK/p25ZlAEfmaVbZklPjnjVX+1WFVUugZ2JfNEJgoKfiY/7888ZifBwuuMZvaKAkrNBMPw2caHVqAUURBCCCHEj8jfCSuehsMroV0kDJoOm143ri9MVq+2d/zq0Ff835b/w+FyYFJNjOs6jqujr+bJjU/69EpwSlYJa9OK0HTYnVvGhoPFODWdHqFtuHZQF2LCgvjTFzvdha8kBfrCkWC4CRIMX3iNUzuqnS7WpxWzZGcey/cWUml3uc+1mlUW+WBV6qb2FZsUEyMiRtAjuAfDOw8nszzTO7OR9YtXBHc1imzZPgRrEIy5H0b+AayBnh2TEEIIIXxfSSaseg52fQwB7WHcwzB8Flj8vVocy1Zk48tDX5JWksau4l3u4y1hP7DdqZG4IZ1//nCgQQr0tKHduHZgF/p3CZbevx4mwXATJBj2riqHi8c/28mXtjz3sdBAK7PGxfDLwV2IaBfgxdGdWf2VYotqYWLkRJZlLsOFEdRbVSvvXPGO99+Ui/bDymfgwLcQ1AkG3QjWthAzQfYUCyGEEBe7tGWw7p9GayST1Zg4H3M/BIR4e2S8v+d9Xkp+yZ0GPSlyEhvzNvp0f2Bd19mZU8ZnqTl8syOPkpMO932SAu19Egw3QYJh72tclbpnxyD2F5xAUWBsrzCuH9KVK/p3Zl/+CZ+ZOWs8E/lyysu8u/td9/3juo7jjoF3+MZs5ZEtsORBKNpj3DZZ4dYlEDXCe2MSQgghhHfYK2HpnyH1PeO2YoLfvg+XTPXakGxFNrYVbGN45+HEh8dzwzc3sO/4PsB39wPXruj2Cg/iUFEFn6fmcPhoJVazypR+nRgUGcLcZQckBdpHSDDcBAmGfUPjFJHM4ko+357L56k55JScws+s4nQZTdOtPviGUrtabNfsKCjM7D+TD/d9iN1lx6yavb9SvG4urHoWalpGEdwFrp8PPcZ6b0xCCCGE8ByXA1IXwpoXjDZJtbxcHGt70XZu/+F2HJrDnV1X6ajk/tX3++xK8ObDxdzybhIOV11clNCjA9cP6cpVcRG0C7AAkgLtSyQYboIEw75N03SSs0p4dsleduaWuY9f2rsjc28YRGiQnxdH19DZ+hX3CO7Bc2OfQ9M178xqNiiypYJ/OzhZDLFTYPJT0HmA58YihBBCCM/Rddj7Jaz8Pzh+GKJGw8DfwtLHvVYcy1ZkIyk/CQ2NRfsXcbzqOAAqKvcOuddn9wPvyy9ncdIRFm/LptppXOMpwOxxMfx5al/vDk6clQTDTZBguGVIySphxvwtxhuPYryvW0wKU/p15rfDIxnbKwxV9X7fu1r1V4pVVPzMflQ6KlExKj1bTVbPz3LWL4LROQ6S3ob1c6Gq3NhPPPHPcKLAa4UyhBBCCNFMaj/zrW1hxyLIS4XwfnDZ08ZEuKJ4rThW7TVSlasKgDD/MMrsZWi65pOrwBXVTpbsyGPRtmx2ZJdiNakkRHcgKeM4Lk1SoFsKCYabIMFwy1E/1STY38zibdl8nppDyUkH3doH8NthkVzSOZi0ohM+kY5Sf0Yztn0sD695mA15GwAf2v9yqgQ2vAxb3gK9pqq3roHJz6stFIQQQgjxM2UnwXvXgKvauN2mI0x5xlgNVk1eGZKtyMbW/K0oKCiKwrzt89DQUFC4d/C9DO883KdWgVMyj/OFLY+CslNsPnyMSruL3p2CuHF4FL8a3JX2gVZJgW5hJBhuggTDLVu108WyPYUs3naEjYeOuY9bTSqLZvtWiyZbkY1Zy2a598RMv2Q6C/csBLy0UlxfWQ4sngH5tpoDClz6J7j0Me+MRwghhBA/XVkuLJoOBTtqDnj/8zy5IJnZy2fj1JwA3Nz3Zj5J+8Qn+wOfsrt4bWUab61NpzbimXRJR+ZMimVwZIi7HZJoeZorGDY3x2CEaC5+ZhPXDurCtYO68Py3+5i/3njzsrs0Zr2fzH2TYpk2tBvB/hZvD5X48HgSpyS6Zz4X71/s3lNc5apiyeEl3vswaNcNrn4JFl4DzmpAh23vQIcYGDANVNU74xJCCCHEj6sqh42vwuZ/g+YE1WzsKTNZoedErwzJqTn55vA3vLTtJXcgrKLS3r8986fM96mV4IziSt7fnMWnKdmUVzndx00KDO3egSFRsvIrDLIyLHxW4xZNPUIDOVhUQYDFxC8Hd+WWUd05aXf5TEpL7Uqx3WV399GbGjOVG/vc6L0PCPceo0DY/gEU7IIug2HKs1J5WgghhPA1tRWiV//dKIwZdwNM/otXa4DUbhOL7xjPnzb8CX+TP7kVuT6zJ7g2vTkhugOlJx38d3Mm6w8WY1YVroqLYER0B579dq+0RGplJE26CRIMty6N92/syinj/S2ZfGXLo9qpoSiADn4W33hzq/3AiAuNY9exXRw/dZxP0j7xjZZMmga7PoaVz0B5LvS5Gi77G1SVSpEtIYQQwluykyBjvbH/d/sHcOwgdB8LU/4Pug7x2rB0Xefd3e/y2vbXQDe2gP1j3D+YFDWJHUd3+MRKcEpWCb+bvwV7TSVoHegc7M/vRkRxY0Ik4W393ef5yuKJaB4SDDdBguGLQ+lJOw8strEm7aj72PjYMF6bPpiQNlYvjqyhxF2JDVoyxYbEMnvgbHIrcr33AeI4BVvehPX/Ansl7hkFKbIlhBBCeFbj4ljB3WDqP6H3lTWfz55nK7LxWdpn7Dy6k/TydPfx2mKhs+JmeWVcjaUVnuDhj3c0aNX5i0FdmHvDIMwm2Q7W2smeYXFRC2lj5d7JsWzJOOaeDVx3sJiRf1/JtCHd+P2YaHqFB3l5lDCs0zCsJit2zY6CQkZ5Bo+uexQAP5MfiVMSPR8QWwJg3IMw+GajKEfuNuO4swoOr5JgWAghhPCEkixY8se6QBgFhs6EPld5bUgbczfyhxV/cG/3ujbmWpZlLcOpObGoFoZ1Ou/Y47xoms7ag0d5d0MG6w8WYzEpmFQFXdexmlVuGd1DAmHxk0gwLFqsod3b8+Gske60l0A/Ews2ZPJJSg4fbj3CpX06cvvYaNpYTGzJOO6V1Jj48PgGRSXW5axj/q75AFS7qtlWsI348HjvNKIP6ghXPt+wyFbSfAiJ8mq7BiGEEKJVO1UK6+fC1reM2/WLY8VM8OhQaq8/YkNimRA5gb3H9roDYZNiIiYkhsQ+iV5Lia5Nbx4cGUJ6cSULNmZw+Ggl4W39eOSKPkxPiCKjuFJSoMXPJmnSotUprqjmo61H+O/mLIorqqlNMvIzq3w427v7imsb09ffQ1ztqubO5Xcas5reaMlUW2TLP8TYq5SXCp3ijL1KXqpYKYQQQrQ6TjskvwNrXzAC4vjfwcQnjDoeXqjdYSuycfsPt2PX7AD8e/K/CbYGM3vZbJ9ok1R/P3BttBLXtR23j43m6rgIrGZZAb6YyZ7hJkgwLGpVO138cbGN73YXuI+Niw1j3vQhtGvjvdZMjVeBn9jwBF8f/hoABYU7B97JPYPv8c7gNA32fA4r/walR6DXZXD5/4G9QopsCSGEED9VbXEsdGPCuSQDYi41ujp0jvPasNLL0nl4zcMcLD0IGNcfdw26i7vj7/ZOtlojh4pO8Mf/2diVW+4+9ruEKJ771QDpDSwACYabJMGwqK+2PVPtvmJNhzZWE9MTorhtbDRdQwK8PMLTZ2bbmNtwTcw1hLcJZ0TECO98EDmrIeltWPeS0etQUZEiW0IIIcRP0Lg4VvsecPVc6DXZq8WxVmev5r3d72E2mXFpLnR0rKoXMtMa0XWd5KwS/rP2MCv2FWE1Kbh03PuBfaFriPAdEgw3QYJh0Vj9cvoBFhPz16fz9Y48FOC6QV2YPT7G6/2Ka2dhwwLC+PTAp+ws3omC4p206fpOHjeKbGVvqTmgwITHYOKfvDMeIYQQoiU4dhj+NwOK9tUcUGHSEzD+Ya8M53jVcRbvX8yC3Quwu+yoqsqrl75KsF+w1/cDj4juQHGFnbfXHSb1SCnt21i4dXQPbhnVQ/YDiyZJMNwECYbFucgpOcm7GzJZvO0IJ+0u1JoJWl+YeazfjklFJTQglBv73IiiKAzvPNzzgXF2Ur0iW0BAe7jsaYi/CUxSg08IIYRwO3kc1r4I2xJBMYHurCuO5eHMKluRjU15myg6WcTSzKWccp4CHTQ0r7dJqs3cq3bU9QeO7BDA7HEx/GZoJAFWKeIpzq5VtFZSFOVK4FXABCTquv6PRvfPBF4CcmsOzdN1PdGjgxStUrf2bfjrtf24b3Iv7v1oO+sPFQNQ5dD4cEsWQ6JCvLYnpbYdk0NzYFJM6Oi8bnsdAItq4d0r3vVsQByZALcuMfYMB4TCjo/gm/thy1tw+TMQe7nX0r2EEEIIn+CogqT/wLq5YD8BQ26BS/9k1N/wQs2N5MJkZi+bjVNzAsa1xW/6/IanNj7lLo7lrTZJJ+1O5q06SFVNIAxw7cAIXv5tvLRFEh73oyvDiqK0AR4ConRdn60oSizQR9f1Jef1jRXFBKQBlwM5wDZguq7re+udMxMYpuv6nHN9XlkZFj9VSlYJM+ZvodpZNzt5See23DOxF1fHRWBSPR/o1S9ekZSfxDzbPHergx7BPfjiF1+wu3i3d1KbdB32fQMrnoLj6RA9wag87ayWIltCCCEuHtlJkLEOXE6wfQhlRyB2ijFRHN7X48Opf+2wOns17+5+FwAVlXuH3MusuFleLY5VdtLBws2ZLNiYQclJh09l5YmWx5MrwwuAFGBUze0c4BPgvIJhIAE4pOt6OoCiKIuBXwB7z/ooIZrZ0O7t+XC20a94eI/2ZB8/xRtrDnHvou38a3kaf5jQk18O7urREv7x4fENPqT8dvnh0BwoKMS2j2V38W53iyaP7ytWFOh3HfS+EpLfNVpE/Ge8kQ4mRbaEEEJcDLKT4L2p4DKKX9IhBm75yqgU7QW2Ihu3/XAbDs2Bv8mfR4c/ilW14tJdDVaBG19feMLRE9W8syGDD7ZkUVHtZPIl4dw9sReA7AcWXncuwXBPXdd/qyjKdABd108pzZM/2hXIrnc7BxhxhvOmKYoyHmMV+Y+6rmc3PkFRlDuAOwCioqKaYWjiYjO0e3v3G3FCNPxqcFd+2FPAvNWHePSznbyyIo2rBnQmOMDC2NiOHn3Tjg+PZ/6U+Q1mchN3JWJ32dHQqHZVsz5nvef3EputMPIuGHQjLJ4OWZuM484qOLRCgmEhhBCt09E0+OqeukAYFeJneC0Q3n98P09ueBKH5gDArtkps5fxzhXveLU41rK9BWQfP8nKfUXYXRpT4yK4+9Je9OsS7D5PgmDhbecSDNsVRQnAyB5FUZSeQHUzfO8zBdSNc7a/ARbpul6tKMpdwEJg0mkP0vW3gbfBSJNuhrGJi5yqKlwVF8GVAzqzNu0oL3y/n3c2ZgLw+qpD/Pe2BEb3CvPYeBrP5A7rNAyLyUK1qxodnff3vk9JdQlhAWGM7jLasx96ASFw2d9g4bU1RbZ0Yz9xYEcYOhNM3uvpLIQQQjSbiqOw9h+QvMDIglLNdcWxosd7dCi2Ihvrctaxu3g3m/M3E2gJxKyY0dHdK8HeWAUG+H5XPnMWbcelGZfkky7pyJNT+xHTMcjjYxHix5zLnuHLgSeBfsAyYAwwU9f1Nef1jRVlFPC0rutX1Nz+E4Cu639v4nwTcFzX9XZne17ZMywuhH+vPsTcZQeoeV+njcXEfZfFcvPI7gT6eacOXe2+n4jACD4+8DGpRakA+Jn8SJyS6J2q05nrITAcdiyGrA0Q2svYO9XnaimyJYQQomWyn4Qtb8CGV8BxEobdZrQZLMnwSq2M7UXbuWPZHdhddnR0rom5hsdHPE56abrXVoIBjhw7ybzVB/k0Jcd9vaQq8NCUPtxTkxYtRHPx2J5hXdeXK4qSCozEWM29X9f14vP9xhgFs2IVRYnGqBZ9I/C7+icoihKh63p+zc3rgH0I4QUjY0KxmlUcTg2TSSW2UxD/+H4/b69LZ9a4aG4Z1YMgDwfF9Wd88yvzsRXZ0NBwak62FWzjlPMUAeYAz30wRibUXQwMvgnSlsLyv8Li30HUaJjyLOguKbIlhBDC99UWx3JWwfYP4UQe9JkKl/8NwmKNc4I6euyzrH6bpPW5691bpUyKiZiQGIKtwV5bCc4srmTe6kN8sT0Xk6pw5YDOrNxXhNOlYTGrjIwJ9fiYhDhXTV69K4oypNGh2qA0SlGUKF3XU8/nG+u67lQUZQ7wA0ZrpXd1Xd+jKMozQLKu618D9ymKch3gBI4DM8/newrxcw3t3p4PZ41sUOgh9UgJr608yItLDxhB8dhoBkWGsDOnzOPFIOq3Y7KoFvxN/tyx/A6Umt0IfiY/zxfZ6nMV9LocUhfCmr9D4iQpsiWEEML3NS6OFdYbpn0HPcZ4ZTiN2yRd0v4SyqrLcGpOr7VISskq4fvd+RwsPMGGQ8cwqwq3jOrOXRN60inYn5SsEimOJVqEJtOkFUVZXfNXf2AYsANjZXggsFXX9bEeGeFPJGnSwtNs2aW8tvIgq/YXAcaLxM+s8uFsz7YJqN8uIS4sjofXPsyKIyvc99/c72YeHf6ox8bTQPUJWDTdWBUGQIHxD8OkJ70zHiGEEOJMCvfC/26C44drDqgw6QnjM8sLCioLuOGbGyipLqkZjdEmaVinYV5LiV6yM4/7F9lw1cQQ1wyM4K/X9CM82N+j4xAXt+ZKk26yV4yu6xN1XZ8IZAFDdF0fpuv6UGAwcOh8v7EQrUV8ZAjvzhzOzSO7A0YVuCqnxusrD1LlcHluHOHxzIqbRXx4PCbVxK39b8XP5OdeHf4+/XtSClNI3JWIrcjmsXEB4NcWJv8VzP4Y0wU6bHkTNr8BTvuPPVoIIYS4sMrz4as58NYYqCgA1WJkM5n9vFIca972ediKbHQM6Ehs+1gsqgWTYsJqsroD4NrPfE/JLT3FY5/u5N5F292BsEmBvhHBEgiLFutcCmjZdF2P/7FjvkJWhoW3pGSVMCNxC3anBoCmQ3hbP+ZM6sVvh0fiZzZ5fEy1q8W9Q3pTeLKQF7e9iN1lR1VV3rrsLUZEnKmb2QVUW2SrbRfYuRjS10D7HnDZ09Dvl1JkSwghhGdVV8Cm12HTa+ByQMJsGP8IHDvklRoXy7OW8/Dah9F0rUFBzPrZX55eCS4qr+Lfqw+xKMnobnpZv/AGe4I/nOXZTDghoPlWhs8lGF4EVAIfYCx63QQE6bo+/Xy/+YUgwbDwpvp7ZJwujbnL0kjKPE7XkADunxzL9UO6YjY1mZBxQSXuSuT11NfRMIL1IEsQjyc8TlRwFCmFKZ7/gNV1OLQSlv8FivZCtwSjyJaiSJEtIYQQF052EqSvBXsF7FgEFYXGhOxlT0GHGI8Px1ZkY0PuBnJO5PB95vdouvE5bVJMzBk8h1lxszw+JoDjlXb+s/YwCzdn4nDp3DCsG/dOiqVLSIDsCRZe58lg2B/4A1CbI7IOeFPX9arz/eYXggTDwpfous76g8XMXXaAHTllRIcF8ov4LphVhVE9wzy+p3j2stk4NAcmxUS3oG6kl6d7r8hWLc0Ftg9h1XNGappSM1kgRbaEEEI0tyNbYeE1dcWxwvvBta967bPGVmRj1rJZVLuqARgYNpADJQfcxbG88bm8Lu0ob645xPYjpVS7NH4V35X7JsfSIyzQo+MQ4mw82VqpCni55ksI8RMoisL43h0ZFxvG8r2FPPftPl5ZcRAAi+kgi2ePZGiPDh4ZS3x4PPOnzHenWQ3sOJDH1j3G0sylADg0B8mFyZ4PhlUTDLkFBkyDRb+DjDXGcWcVpP0gwbAQQojmkb8DvrizLhBWVBjwa698zui6TlpJGsmFyThcDsAojjUxaiKPDH/EKynRldVOnvtuHx9tPWKMR4FXbojnF4O7emwMQnjajwbDiqJkYKRHN6DruufzSIRooRRFYUr/zqQVnmDusjR0wOHSufujVF6YNpAJvTuieGC/bOMehDP6zmB19mocLqMl0yXtL+GPq/9Ij+AeTIic4NnA2BpoVOxcuAWc1biLbPm1hRF3gUWKcwghhPgZynJg1bOwYzFYg4ziWLoGJitEj/PoUGxFNr4+/DXbi7aTWZbJC+NeaNAasTYA9uTnb5XDxYdbj/DmmkMUV9QVtVSAnNJTHhuHEN7wo8EwRlulWv7AbwDPLGUJ0cqM6hmGn+UQDqeGqipous7MBdsY3qM9D03p4/HG9PHh8SROSXTPQCcXJrvbMb235z2jyFYXDxbZikyAW78x9gy3i4Rdn8CKp2BbolGNesCvQfXOnmshhBAtTFU5bHgZtrxh1KkYcx+MfRCK07xSm+KHjB94dP2j7j3Bs+JmMbn7ZMIDw72yEmx3anycnM28VYcoKK9iTK9QHozrwjNL9uBwGsWxPH1dIoSn/eie4TM+SFE2SJ9hIX6e+kUn4rq243/J2cxbdZDC8mrG9grjoSm90XS8UpiicZGtNuY2PDr8UXqG9PRaFUvS18CyJ6FgF0TEQ/wMsJ+QAltCCCFOV1scq6rUWAk+WQxxN8Dkv0BIlMeHU1sFum+HvsxZNQen5gS8VxwrJauEzYeLqXJqfGXLJfv4KYZEhfDwFX0Y3TPMfY4UxxK+zpMFtIbUu6lirBT/Qdf1Qef7zS8ECYZFS1TlcPHBlizeXHOYY5V21JqMaauHWxY0LrLVPbg77fzasbt4N3aXHavJ6qUiWxrs+hh+eMK4sAGj9+OtSyQgFkIIYWhcHKvzQKM4VtchZ3/cBbKtYBt3Lr8Tl+bCarIyNWYqS9KXeK04VnLmcabP34LDZVz7x4S14S/X9udSD23VEqI5eayAFjC33t+dQAZww/l+YyFEHX+LiVnjYpieEMVdH6Sw/qAR8FU5NH7YU+CxYLhxka1BHQfx5o43SS1MRUOjylXF9xnfe6HIlgqDboSSLFjzd0A39hV/9wjc+BG0k+IeQghxUcvaBJ/Nalgcq98vvRIIa7rG9xnf89yW53BoRnEsh+agW9tuDbYmefKzdOOhYh782OYOhFUFpg3txsQ+4R4bgxC+6FyC4dt1XU+vf0BRlOgLNB4hLmqBfmYeuKw3SRnHsTs1dODdDRk4XTpzJvWiQ6D1go+hceGO0V1Gs2D3AuwuOxoaH+3/iCMnjtC7fW8mRk70bGDcc6Kx/8tlN/oRF+6G14fAiDth7B8hQNK5hBDiolK4F1b+DdKWQptQrxbHAli0fxGJuxIpOllE97bdqXJVoema14pj7c4t44Wl+1l/sJiwICsWk4Km6TX7gcM8Ng4hfNW5pEmn6ro+pNGxFF3Xh17Qkf1MkiYtWoPaHXDwTAAAIABJREFU/Tqx4UGs2l/Ex8nZtLGauXN8DLePi6aN9VzmsZpP7Z6nfqH9+Prw13yb/i0AZsXMgisXeDYgzk6qK3wS1AlWPw87/wf+wTDuIUi4AywBnhuPEEIIzyvNNt7/dywCv2AY+4DReaBwt1eKYwFszdvKrOXGHmCLauGdK95BQfHKSvCRYyeZu/wAX9nyCGljYc7EXtw0sjt78splP7BoFS74nmFFUS4B+gMvAo/UuysYeETX9f7n+80vBAmGRWt0qOgELy49wLK9hXRs68f9k2Pp3SmIbZklXi2ypaBw35D7mBU3i9TCVFKLUr1TZKtgF6z4GxxaDsFd+X/27js+qir94/jnzkwKEAg1CQQIJfQWSJDu0lFEsK29A1ZgF3V3ravuT1fXRXetq1RRUbBgQ+m9BJIAgdBJJb0QEggpU+75/XGTSSEUBWYm8Lx58Upy5zJzCGHmPvOc8z30vsPYqqn9tbKmWAghrhSpUXB0FeQnwsFlgDLeAB32NNR3/UYnsTmxbErbRH5pPi8NfIkF+xc4Xx/dEZC1M+UE6w5lk5R3mtUHsjGbNCYPbc+jf+hII18vl41DCFdwxZrhLsAEoDFwY5Xjp4CpF/vAQogLFxrQkNn3R7AzJZ83fj3Eiz/soyLqwsfLtSFbEYERZ+yJ+MWBL3gr+i1jPGYf14dsBfWCe7+FpE3wy9Ow5R3juNnbCNlq68LtoYQQQlx6iZvgi5uhPI2Z0DEw4R23JEQD7MjcwWOrH8OujPH0aNaj1tdHV9kan8cD86Ow60aTa0y3QF67uSeBjXxdNgYh6qKzFsNKqR+BHzVNG6SUinThmIQQZxEe0pRvHhvE01/vYenudMAI2fo65pjbQrbCAsL4If4HFMYLcKmjlGWJy1zfHQajE9z7Tlj3GqAba4u/mwy3zoW2A10/HiGEEBfHYYfYRcZuAhWFsGaCkEFuKYR1pfNzws+8EfWGsxA2YaLQWljr6+PlZnPoLI46xhvLDzkLYZMGYW0bSyEsxAU4azGsadpflVJvAXdrmnZXzduVUjMu68iEELXSNI17Bobw675MymxGyNaS6DSyCsv423Vd6d6q0WUfQ80AkJtCb2JZ4jKsDisKxZLDS8gvzad7s+6unzbdfpix7ZLDalwwWYtg/jjocgOM+jsEdHXdWIQQQvw+SsGhX4xwrLwj0KIb5CeA7jBm/bRzfThWbE4sOzJ38O2RbwmsF0iaIw2HclTrArsqIEvXFb/uy2TWysMkHy+mW8uGJOSexuHQy8Oxml32MQhxJTjXmuEblVI/a5r2QG23K6UWXtaR/U6yZlhcLSpCtvq1bUxceiEfrk/gZKmNm8KCeWpMZ9o0re/S8VSEbPVo1oNlCcv4NflXdF3Hy+zFeyPfY3Crwa4bTNWQrcAesP0j2PIu2E5D2D0w/DnZjkkIITxVyjZY/TKkRUGzTjD6Zeg6AdKi3RKOFX8inlkxs4jJjsHmsOFlNvYIdlc41tb4PP614hB70wrpEtiQZ6/vyvAuLdh1rEDCscRV47IHaNVVUgyLq1VhsY3/bUxgwdYklIJ7B4YwrHNzDmScdHvIlrfZmz/1+xPdmnYjNjfWPSFbp4/D5rcheo7RMe42EZqEQKexErIlhBDulhoF+76DjN2QugP8gmDEcxB2L5hdu4MCGG/wbkzdSHxBPJvSN2HRLNh1u1vDsX6MTWdPagF70goJblyPp8Z05qa+wZhN2vnvQIgrjCvSpH8GzlopK6UmXuyDXw5SDIurXWZhCf9dfZSvY1JRgAb4WEwsmuq6kK3YnFimrpqKTbdh1sx0atKJ/cf3o5XHfrklZKvCiRRY9hQkrDG+Nlngnu+g43DXj0UIIQTs/x6+nQzKYXwd8RCM/Sd4u3aGU4Vd2buYvHKyc03wuJBx3BR6EzM3zHSGY7nyNWx5XCZPfrmL8iXBPDg4hGev74avl9kljy+EJ3JFmvSsi71zIYTrtfSvx79u600DHzPztyajgFK7ztzNiYS16eeSd5Brhoj0adGHl7a+xI8JPwJGyFZMdox7iuEmIdBuMCSuA6UbgSyL74KRL0LEw7JHsRBCuEphGmz6N+z6zHg+BtDM4N/GbYUwwM7sndXCsbo268rQ1kNdHo5VWGLjo/XxzN2c5CyEzRq0aOgrhbAQl4jpbDcopTZW/AYigRNAPhBZfkwI4cFu6N0KXy8TJg00DZbvy2LC+1vYcjTPJY8fFhDGlF5TCAsIQ9M0but8Gz5mHzQ0Z9hIZEYks6JnEZsT65IxObUbBmYf46LL7AMtusDK5+G9fhA9D+xW145HCCGuJkU5sPxZeK8v7F5krAe2+JY/J7s+HEspxcL9Cxn9zWjWHVtH/6D++Jh9MGtmvM3e1cKxKl7XLierXWf+liT+8O/1zN6cyLBOzfGxmDBrSDiWEJfYedcMa5p2A/AxkIAx47I98KhSavnlH95vJ9OkhahUEbI1oH1T0gtKeGvFYdILSvhD5xY8P74bXYIaunQ8FSFbFRcWD654EIdyYNbMvD/yfYa1duEFUNWQrTbXQNJmWPd/xlq1xiEw/Flo0h6ObXN5WIsQQlxRKp5vg/oYH6Nmg70Mwu6GP/zV2CKp5nOyixzKP8TL217mwPEDAHibvJk3bh6Ay8OxlFIs35fFv1YcIuV4MUNCm/H8+G70aOXvfD2XcCwhDC4L0NI07RAwQSkVX/51R+AXpZRH7k8ixbAQZ1dqc/BZZDIfrIunqMzO7RFtGN0tkMPZp9wasgXGBci0vtPo2bwne3L3uCdkSymIX2MUxZl7oHyNMxZfeOAnKYiFEOK3So2ChTcaxW9FFE2vP8IfnoXmoW4ZUmxOLNFZ0cTmxLI5fTPeZm/n1oDuCsdauiuN6OR8jmQX0TnQj+fGd2N45xZomoRjCVEbV6wZrpBTUQiXSwRyLvaBhRCu5+tl5pFrO/LH8Da8vy6ehZFJLI5OdUvIVkRgBN5mb2fIVvdm3Xln5zuYNBMo8DZ7uz5kS9Og0xgIHQ1LH4G4r43j9hKIngut+xvnCCGEOD/radjwJthLK48NeAyu/5fbhhSdFc0Ta57A6rCiaRrjO4xnYseJ/Gndn5zhWBWzl1zhl70ZTP9qt3NN8ON/6MDTY7tgMZ91JaMQ4hK6kGJ4v6ZpvwJfY7yl90cgWtO0WwCUUksv4/iEEJdBkwbe/P3G7phNMGdzkjNka/amBD68u59LXoRrhmyFBYTx8taX+SH+B3R0rA4rP8T/ALh+qhqaBtdMhYM/V3Yz9i6B4/FG0FaHEVIUCyHE2djLYOensGkWnM4xtrMDI6Oh560uH05sTiw7MndQZC1iyZElWB1WY4skzIQ2DmVwq8EuD8c6cdrK++vi+XRb9XAsP18vKYSFcKELmSa94Bw3K6XUw5d2SBdHpkkLceF2ppzgnrnbsdp1FMYsYXdOz6q6JROAQznc2ymuWMPWdpBRCG98CwpTIWSIURSHDHbdWIQQwtM5bBC7CDb+G06mQchQ47nSZHbLemAwXlceXvmw83UlpGEImaczcSiHy7dIgsrlSu+vi+d0mZ2RXQPYfDQPu0PHy2Ji0RTXzdASoi5z2ZrhukaKYSF+G2coR/um5Jwq481agjtcqSJkq3fz3szbN49tGdsA0NCY0msKM/rNcOl4qrGXwc6FsHkWFGVDx1HQ4yY4nSshW0KIq1dKJOz4BFK3w6lMCA6HkS9Bh+FunUWjlGLSD5NIOpkEGNskTes7jf5B/V0+40jXFT/vzXAGWQ7v0oLnrjeCLCUcS4jfzpUBWu2B6UA7qkyrVkpNvNgHvxykGBbi4ljtOot2pPDu2qMUlti4uW8w43oEEZ9T5PIX6ticWKasmuIMNhkTMob7u9/v+mnTNVmLIXqO0f2wnjKOmX3gwWVSEAshrh66w3hzcP0bGCvpNBjzKgye4bYiODYnlvWp6xnRZgRhAWG8FfUWXx3+CqWUWzrBO1NO8E1MKjHJ+cTnnqZ7y0Y8P74bQzs1d9kYhLgSubIY3gPMA+KgPPYVYx/ii33wy0GKYSEujcISGx+tj2feliTsunJLyBZUdoqD/YJpYGnA0xufxuqwYjKZmDt2LuGB4S4byxnW/9OYOl2RkNq8M9wyG1r1dd+YhBDictMdsG8pbPo35B2uPK6ZYeQLMOxptwxrS9oWpq2b5pwCPX/cfMICwqpt6+fKQvinPen8eXGsc03w9JGhzBzdGZNJMieEuFiuTJMuVUq9d7EPJISoW/zrefHc+G4oYPamRGfI1v82xPO/e8PxclHAR1hAmPPiZW7cXGfwia7rPLX+KV4Z/ApNfJu4p1scOhq2vgcOq9EFOZkBs4dDp3Ew/G/GVEEhhLhSOOyw7zujCD5+FFp0gxHPw+b/GM+DZm9jyYgLxebEEpkRSV5JHj/E/4BDOYyh6g5ismOcryGufG3IKyrj3TVH+WJHCqpKOJavl1kKYSE8zIUUw+9qmvYysAooqziolNp12UYlhPAY43oE8VlkMla7MTFkzcEcxv13E89e15Ux3QNdGrJVdTsmk2bC2+zNjPUz0Mp/uTxkq801xv7DFcEwLbpC1CcQ+SHMGQmhY2D4s6B0t4XHCCHERUmNgsSNRrG77zvIT4CAHvDHhdBtIphMRsK+G57jKkIXSx3G1k2dG3cm+WSyszPsyi2SwAjHmrclif9tSKDE5mBc9yDWH85xhmMN7NDMpeMRQpzfhUyTfgO4D0igcpq0UkqNvOgH17TrgHcBMzBXKfVmjdt9gM+AcOA4cIdSKvlc9ynTpIW49KqGbOUX23hj+UESc09zTfumvDC+G33aNHbZWKpOd+vZvCdPb3yadcfWAWDWzEzrO40pvaa4bDy1KjsFUXNg2/tQkl99W5EHfpKCWAhRN6Rsg4UToTyJmSYdjDXBXScYRbCbKKXYmLaRg8cP8vGej9HRMWFier/pRARGuCUc6/vd6cxadZjMwlLGdA/kb9d1JTTAT8KxhLhMXLlm+BDQWyllvdgHq3G/ZuAIMAZIA6KBu5RSB6qc80T5Yz+madqdwM1KqTvOdb9SDAtx+dkcOoujU/nv6iMcP21lUlgrrusRRGLeabeFbNl1O14mLyb3mkxcbhyhTUKdASpuU1YEX98PCWsrj4XdC5M+kH2KhRCey1YKuz+Htf8HZYXGMc0EI16Aa59x27Bic2L5Mf5HYnNjiS+I56EeD/HVoa+w6Ta3hWMtiT5GVFI+yceL6dPan+fHd2OAdICFuOxcWQwvAaYrpXIu9sFq3O8g4BWl1Ljyr58DUEq9UeWcleXnRGqaZgGygBbqHIOWYlgI1zlVauOTjYl8sikBm8MI2fK2mPjSTSFbEYER/JL4C4sPLwaMTvGHoz5kSPAQl43lDKlRsPBGY1umiqCt4HAjYKbz9W7trgghRDVlpyBmvrHUoyjbWBOcn2AEZpm93TqzZVnCMl7Y+gK6MiYpTu45mWl9p7Evb59bMiN+2J3OU18b4Vga8KfRnZgxspOsCRbCRVwZoBUIHNI0LZrKNcNKKTXpIh87GEit8nUaMOBs5yil7JqmFQLNgLyqJ2ma9gjwCEDbtm0vclhCiAvV0NeLZ8Z1wa7rfLzRCNkqs+t8uD6ej+8Nx9vi+pCtmOwYTJjQ0XEoBzPWz+ClgS/RrlE794RstbkGHvjZWE/XZgDkHYWt/4XFd0NAdxj6FPS4GcwX8nQshBCXQXG+sU/wjo+htMDYH/jWedBuKKRFuy3zoOobne/vft9ZCJs1M37eflhMFpeHY+WcLOU/a46wOCq14u1NTBp4mU1SCAtRB13I1dfLVT7XgKHAXZfgsWt7xqjZ8b2Qc1BKzQZmg9EZvvihCSF+izHdg/h0W2XI1rpDOYz5z0b+dl1Xru8Z5LaQLbNmpluTbmSdzuL17a9jdVjxMnsxd+xc1xfEFReR7YZC3/tg/1LY/DYsnQLrX4fuk8C7gXERKmuKhRCucHiF8eZcRizYS6DLDcasldZVkvCrPn+50Nb0rTy59kmUUnibvZncazJz4+Y6l8S4Ohyr2Gpn9qZEZm9KxObQuaFXS1YfzJZwLCHquPMWw0qpjZqmhQF3A7cDScDHl+Cx04A2Vb5uDWSc5Zy08mnS/kD+JXhsIcQlFB7ShEVTBjpDtk6V2Xnj10M8sWgX/do25oUburts2nRYQBhzxs6p1gWes3eOc0umMkcZSw4voU+LPi4t0qsxW6D37dDzNjj8K6x91bggBdj4L7jnG+h40RmFQghRu7x4WP2S8fwDxv7AN38Cfe5077iAEnsJiw4u4n+x/3Nuk2TTbVhMFuaOnevyGT4OXfFNTCrvrD5CzqkyxvcK4q/jutKueQMJxxLiCnDWNcOapnUG7sToAh8HlgDPKKVCLskDG8XtEWAUkI4RoHW3Ump/lXOeBHpVCdC6RSl1+7nuV9YMC+EZHLri252pvL2q8gLihl4tST5e7JaQramrpmJ1WFHlvzo36UyfFn2Y2HGie0O2ADa9DetewxnYb/aGAY/BwMehUSu3Dk0IcQVJjTbeeDv0ixGIpXRAGcXwyBeMrrCbxObEsnD/QnZm7eSE9QRhLcI4cPyAc5skl4djJefzZfQxohNPcOxEcfkbu90ID2nqsjEIIc7usgdoaZqmA5uByUqp+PJjiUqpDhf7oFUeYzzwX4ytleYrpV7XNO0fQIxS6idN03yBz4G+GB3hO5VSiee6TymGhfAsxVY7czYl8dGGeMrsuttDtsICwtiUtokF+xYAxtqzT6/71L0FcWqUsX2JwwomC7QdaKzR08zQ+w4YPB0CurpvfEKIukvX4egq2PouHNsGvv7Qf6ox9fnrB4znHTeGYyml2JO7x7lfsIbGCwNe4I6ud1RbM+zK5+hvd6by12/3OsOxnhnbmSdGhLpvNpEQ4gyuCNC6FaMzvF7TtBXAYmpfw/u7KaV+BX6tcezvVT4vBf54KR9TCOFa9b0t/Gl0J8rsDj7akOAM2Xpv7VE+uS8cXy+zS8ZRNWQlNifWGbKllCImO4Zgv2B2ZO4gqzjLTSFbP1UPqclPgu0fwa7PIfYLI3m60xgoKYD2rg+yEULUMclbjUCszD1QkAL+beC6N43MAh8/45yazzsuFJsTy5LDS9ibu5dhrYdhdRg7eJo0E6dspwBcHo6VWVjCrJVH+G5XmvOYSQM0TQphIa5QZy2GlVLfA99rmtYAuAmYCQRqmvY/4Hul1CoXjVEIcQUY1S2Q+VuTnCFbG4/kMurtjfz1ui7c2LuVS1M4q4ZsVQSxvBH1BqtTVgPgbfZm3th57gvZAmjaHsb/G/7wLETPgW0fwJHlxm1mL7j/JwgZ7LrxCSHqhuJ8WPsP2Lmg/IBmPI9c+4zx3FGVG8KxlFJ8cfAL/h39bxQKDQ2zZj7jOdmVTpXa+HhjAnM3J6EUTAprxYp9WRKOJcRV4Lz7DFc7WdOaYnRq71BKeWS6i0yTFsJzVQ0bKbU5eP2XgxzIPEnv1v48P76bSy84ak6/e3/X+8yJm4MqD6zv0awHU3tNJelkkus7xbXZ8KbxuyJQ36cRDHsKwh+EehLcIsRVL/ewMZtkz2Kwl1Ye95D1wBXPt7P3zmZz+mbnbWbNzLS+04gIjHD5lGibQ2dx1DH+u+Yox09bmRTWimfGdqFN0/oSjiWEh7vsa4brKimGhag7dF3x/e50Zq06TGZhKaO7BTKxT0tST5S4NWRL0zSUUs6P3mZvl4e3nKHaumKzsUdxZix41Yewu43Aread3Dc+IYTrKQUJayHyI+Oj2Qf63GFMe/5phtvXA4Px3Dp55WTsuh1vszc3hd6El8mLr4987dwmyR3hWF/sOMaOpONkFJQyoH1TXrihG71bN3bZGIQQF0eK4bOQYliIuqfU5mDeliQ+WBdPic3YSsPHjSFbEYERrDu2joX7F6KjY8JE38C+/Hf4f0k+meyWQBfAKIirru/L2gfb/wdxXxsXvZ3GQccRYC2WdcVCXMkSN0HUx5AZB4XHwC/QCMWKeAgaNDfOqfl84UIVz6UtG7Rkbtxc4gvigcou8JReU9wWjrUk+hjPLY1zhmP97fquPHptB1kTLEQdI8XwWUgxLETd9e+Vh/hwfYLz62GdmjP7vgjqebsmZKuqik6xTbehoWFXdnzNvth0m+d0iysU5UDMfKMwLi0wjpm8yvcrHuHesQkhLp38JFj/GsR9W35Ag2v/Yvy2eLt1aBVic2KZvGqyMxDLy+SFrnQUCm+T+543U/OLmbXqMD/GZjiPmTV4amwXnhwR6vLxCCEujivSpIUQwqVGdg1k3pbKkK3NR/MYMWsDz4zrws19gzG7MGQrLCCMOWPnODsXfl5+/GXTX5wdjjJHmXOrJrfzC4Dhzxr7hq7/J6BAt8GXt0O/+6H/FAjo5u5RCiF+D90B8Wsgao7xsSrNBF6+HlMIA0RlRjkLYQ2Nh3o8xLDWw9w2o6awxMZH6+NZsDUZkwlu7RfML3szsUk4lhAC6QwLITxM1dASh654/ZcD7EkrpFvLRrwwvhtDOzV329gq1r5Zdatzf2KA7ZnbGdhyoPsL45r7Fbe/FpI2gaPMmCrZfzJ0nQAZu902fVIIcR4V05uD+kDOfoieZ2yN5BdkBOa17A3fTvaI9cAVVqes5osDXzC973QsJku1NcLu6gRb7TpfbE/hvXVHKSyxcWu/1jw9tjMt/etJOJYQVwCZJn0WUgwLcWXRdcWyuEzeWnGItBMlhLVpTN82jZnQp5VbLmIq1rmFB4ajofHwyoex6TYsJgufjP6Ea1q6ubisuU7w9HHY/RlEzzfWFtZvBqWFoHQjbMcDLqSFEOWO7YCFNxpvYFUIGWLM7uh2Y+XWSG5cD1xVRlEGb+x4gw1pGwDwNnkzb9w8ALd1gncm57MwMoWopONknSxjaGhznh/fje6tGrl0HEKIy0uK4bOQYliIK1OZ3cE/fznIwsgUAMyaxkf39mNcjyC3jWlu3Fze3/U+Osa07vqW+jwR9gRdm3Ql7nicZ2zJVEF3wNHVsPJ5yK9cl03vO2DSR2CWVTNCuE3JCdj7DWyeBUXZ5Qc1GPAoXP8vtw6tpticWCIzIjmUf4hN6ZvQlY6ujOfAqgFZ7vB5ZDJ//2k/qjwc64UbujF5aHsJxxLiCiRrhoUQVxUfi5mARr6YNNAVOJTiiUW7mDK0PY8P70jj+q5fMxcRGIG32RubbsOkmWjn345ZMbPQyn95VMiWyQxdroP6TWHhBLBbAQV7lxhTqcPugX73QZN27h6pEFcHpSBlG+xaCAd+NPYGbhYKxfnlMze8oeet7h5lNTsydjBt3TSsDisKxci2I5nYcSJ/2/Q3bLoNL5MXEYEXfW36mx3KOslbKw6z7lCO85hJgzK7LoWwEOKcpDMshKgzdqac4J6527HZdSxmE4M6NGPj0Vwa+lh4YkQoDw5uh6+Xa5Ona24P8o/If/DtkW9RKMyamUEtB3Ffj/s4cPyA53SKK6ZYth1kXHjvWmgE8ygdOowwQrf8AiB1h9unYQpxRUmNgiMroPQkJG6A40fBpxH0+qPx/65VmMdMga4QmxPLmpQ1JBUmEZVlhGPp6B6xTVJ6QQnvrDrC0t1pNPSxMLFPMN/uTHWGYy2a4trt+YQQriPTpM9CimEhrmw1g0+qdgSCGvkyc0wnbu3XGovZ5JbxVd2SyaSZsOk2AGeneO7YuZ5RENdUmAa7F8Huz6EwtfygVh7Q8zO0HeDW4QlRpzlsEPkhrH3VeNMJIKAHDHoSetwE3g3cO76z+CXxF57f8rxzGvQ1QdewJ3cPdt2Ol8nLbTNfTpy28tGGeOeymYcGt3POEJJwLCGuDlIMn4UUw0JcnbYnHufN5YeITS0guEk9rglpwr0DQwhv19TlY6naJfk16Ve+OvSV87aIwAhmj5nN/uP73RYwc066A36cDnsWVR5rEACDp0Gv26FRS/eNTYi6RCnIjIU9iyHuGyg+XnmbZoaRL8Cwp903vlpUfe5qXq851y+93nmbSTMxve90IgIj3PbctS0+j/9tTGBn8glK7Q5u7deamWM606pxPZeOQwjhflIMn4UUw0JcvZRS/G9DPP9eeQQFaBq8Nqkn9wwMcduYKjrFVocVNOjg34GXB73sPOZR64orVN2iSTMZ6xhzDxqfdxgBfe6CrjdA9j6Pms4phFtVTG9u0RXyjhhFcO4hY3ZFl/EQHA7rXze6xB6yJVJVFVvH2XQbPmYf5oydw6a0TXx24DO3d4LtDp1Zqw7z8cZEwFgP/PYfw7i5X7DLxyKE8AwSoCWEEDVomoZCQ9OMpoxS8MIP+1h/OJe/XteFzoENXT6msIAw5oyd4+yk9GjWg4UHFjrX3ZU6SlmTsgZw31YkZ2hzjXGhXrXQzYuHvYuNC/ylU8BS39j+RSmwyBZN4iqXsA4W3Q7lyyIAaDMAJvzXmAZdr3y6btuBHvUGUmxOLNFZ0fiaffny0JdYdSsANt1GTHYMM/rN4NrW17rtuUkpxcr92by18hCJuaedxzUgo7DEpWMRQlyZpDMshLiiVA3Z8jKbuCW8NT/HZnDaaue28Nb8ebT7p9TF5sQyZdUUZyIrGFMQUXhmp7gqXYeUrbDqRWMKaIXgCBjzDyOUy+Se9dpCuFRZkRGGtW+p8VE5ym/QjLXA41536/DOp6ITXFEAN7Q0pMRRgkK5tQtcYUficd5ccYjdxwro2KIBt4a35r21R43ndgnHEuKqJ9Okz0KKYSFEzQCVE6etfLg+ns8iU9A0eHBIO4Z0aE5cRqHbQlYq1uaFNg7l0/2fsjN7JwAmTEzvN91t+3ResNQoWHijMZUawGQxPm/YErrfBD1vgdb9IS3aozphQvwuFVOgW18DJfnlBfBKsJcYP/NtB8GhX0C3e+QU6KqsDiv5pfksS1zm3CddQ+OJsCcY2HKg27rAFc/brfzrsWxvBmsP5RDYyIeZoztzW7gRiiiT36oYAAAgAElEQVThWEKIClIMn4UUw0KIs0k7Ucw7q4+wdFc6YEy187GYWDTVvR2Gqp3iirV6S48uxapbuaPLHfQN6Ou2sZ1T1S1gArpXdsniVxuFcYMAo3BQOphlKrWooxI3waJbK9/4AWjQArpPgh63VM6G8LAtkWqKzIjks/2fsS9vH12bdeXJsCedyffu7gTvTDnB3XO2U2Y3Uqvre5uZNjKUhwa3p563a7fLE0LUDVIMn4UUw0KI83nlp/18ui3Z+fWobgF8dE8/fCzuu+iqmuJqdViZsmoKylgBzQPdH+CJvk9Qz1JHElNLC+HQr7B5FhyPrzweHA4jnod214LF233jE+J8ivONN3cOLoOjK42OLwAa9L3XWAtsrhuxK1mns3gn5h2WJy8HjNknf+n/F+7tfq/b9geuKvtkKY9+vpPY1ALAeJPyyRGhPDOui1vGI4SoG6QYPgsphoUQ51Oxrtha3oXQFQQ3rseMUaHc0q81Xm7ao7jC3Li5zumLFRr7NOaxPo9RYi/xjJCtC1ExldpuJGlj8gZHKfg0gk5jjETqek0hY5fHdtPEVaCio9usE5xMN6Y7p2w1ZjQ0CjbWwx9Zbmw75uFToKuqKHSzTmfx9eGvnfkEZs3MtL7T3L4U43hRGR9vTOCzyBTsDh00DaUU3rIeWAhxAaQYPgsphoUQF8K59qx9U0psOv9edZg9qQW0a1afP4/uzI19WmE2aW4ZW8V2TBXTF5+JeIYVySuIy4vD5rBhMVn4x5B/cEOHG9wyvt+k6tTRoN6QtBEOLTM6x8V5leeZvOCW2cZaYyFcwWGH3Z/Dr89U6fxiTPnveoPxu2WYsUebh0+BrqArnc1pm/kw9kPiC+Jx6A68zF481vsxPtn7iUdMiS4ssTF3cyLztyRRYnNwU99g/jSqE3lFVlkPLIS4YFIMn4UUw0KI30MpxdqDOcxadZhDWafoHOjHTWGtUMDADs1dfnFWc/pibd3i3s1707FxR27pdEvd6BRXpTvgl6dg50KgyutQ0w4QOhpCx0C7oeBd321DFFegU1kQv9ZY156wHkoLqtxYN1KgaxOVGcWiQ4s4ePwgmacz8fPy47TtNArl7ARHBEa4NRxr85FccorKWLYng5Oldm7o1ZKZYzoRGuD6Le+EEHWfFMNnIcWwEOJi6Lri132Z/PPXg2QUlALgbdb4aupAwts1ddu4qnaLLSYLg1oOYkPaBgA0NKaFTeORPo94xBrAC5YaBQsnGsFEZgv0nwp5RyFpk5HSa/aBdkOgeWfQTEZKddsB7h61qEuSt8LeJWAvhZwDkBVnHPcLMt50adoONs0Ch61OToGOCDSuAx9Y/oAzFfqxPo9xTctreHz14x7RCY5MyOO+eVHYdeN6MyKkCa9O6kGPVv5uGY8Q4spwqYrhupH+IIQQLmIyaUzo3YqkvNO8s+oICrA6FNMX72bWH/swuGNzt4wrLCCMOWPnOC+AY7Jj2JS2CR0dhWJP7h5nKrXNYfP8/YrBKDoe+OnM6ae2Uji2zejgHfgJEtYZx7d/BB1GGCm+7a81usiae6ayCw/lsEHGbuNn6uAyYz16haA+MPoVowgO7Fn5s9P+D3ViCnSFqvsD+5h9mNhxYrX9yr3N3kQERlR7vnDH84DVrrMkJpV/LT/oLIRNGozoGiCFsBDCY0gxLIQQtRjcsTkfesVjs+uYNI0Sq4O75+xgSGgznh7bhX5tXb+mLSwgrNpFrbfZ29n5ebjXw8Rkx2B1WFEoSh2lfH/0ewDP7hS3uebMAsTLFzqONH7XbwrrXjPCjMDYtzhxvfF5w1bGVOp2Q8G3ERxPhPZ1o6ARl0BqFCRuBL/yLbySNsOx7WA7bdzeIAAjuU2BZoYek2DozDPvp7afQQ9S0QXu3bw3aUVpvL/rfay6sc2TzWFDQ8PH7ON8LqjoFtd8vnAVu0Pn+93pvLv2KGknSugS1JCk3NM4dB0vi4mBHZq5fExCCHE2Mk1aCCHOwhmy1aEZPVo1YtGOY3y0Pp7jp62M7BrAU2M60zPYfR2OmlOiq+5XXNEp0jC6X95mb+aOneuZBfG5VJtK7Q33/2gUyMmbjeIneQuczqk8XzPBNY9Az1uhZR+w+Lhv7OLSK86HtBg48APs+aryTRKAFl2N7m77YRAyBPITq//s1JEp0FVVLI+wOqzOvIDWDVuTdToLpZRzCjS4/00vXVcsi8vkv6uPkJh3mp7BjXh6bBeGd27BrmMFEo4lhLikZM3wWUgxLIS4nE6X2fl0WzKfbEzgZKmdQR2a0q1lI27o3cojLvIqCuQ+Lfrw5aEvWZOyBqjcTmVix4lkFGW4/cL5NzlXkq9SsPJ52P4/qgVxgVEAtewDrfsbv01ekHdEusd1QWqUsXa8UbCxfjw12pgVcPxo+QnlHV8ATDBsJoz6e+33U4emQIPxfzgqMwovsxfRWdFsTd/qXA98S6dbeHnQy+zJ3eMx/4eVUny8MYH5W5LILbLSOdCPp8Z0YVyPQDRZxiCEuEykGD4LKYaFEK5QWGLjtWX7+WZnOmCshXvn9jBu6hvs5pFVcnaVdCveJm/eHfku09dOx6bbgDrcLa6pZvf4tvmgHMbxtGhjDam9tPJ8zQS974DO10FQL2jSHkzu3Vv6qmcrhdyDRsDV0TVw6OfqXd/6zY1itnUEtL7GSCP/6s463fWtzfpj63lqw1PYlbHVk7+3P6WOUuy63e1BWDUppVh9IJs3lx8kMa8YAC+zxpdTB9LfjWGDQoirgxTDZyHFsBDCVT5cH8/bqw6jV3kavaFXS6aPCqVrUCP3DayKqlOpOzXpxF82/oXN6Zudt4e1COOhng+RWJjoEV2m3+1cHUCHDVY8C9HzqOwmVuksevsZgUotexufl52ErjdCx+GuG//VQik4stLYa9qrPpQWGgVw3uHKvX7N3kaRC4AJBj0BY187MyytDnZ9a6r6//PYqWO8uOXFyjAsTDwR9gQDWg7wmC4wGNOhVx3I4t218RzMPEnj+l4UFttQgFmDp8Z24ckRoe4ephDiCifF8FlIMSyEcJWdKSe4Z+52bHYdi9nEhN4tWbk/m6IyO9f3DGLGqE50a+kZRXGFqmsQK+pBi8lidJ7MXnw48kMGtLoCty+q2T2+5xvwaQhZe41iLCsOMmKNKbkV6jeDwB7G1k7NO0OzUONjYToc21qni7DLKjUKEjcYHXeLjzG1Oe+oMUU95yDYiivPrd8MgiOMDn3F76Jc+PymK67rW9PalLU8s/EZHMqBj9mH14e+zvrU9axKWYVDd3hcJ1jXFSv2Z/He2qMcyjpF++YNmDYilDZN63H//ChsdiMga9GUgR6xZEQIcWWr08WwpmlNgSVAOyAZuF0pdaKW8xxA+aaAHFNKTTzffddWDNtsNtLS0igtLT3LnxLi9/P19aV169Z4eXm5eyjCDaqGbIWHNKGg2Mr8LUks2JrMqTI743oEMqZ7INknyzwmPKZqN2pL+hbm7J3jDOfxMnkxseNEejTrQUFZAf2D+nvMxfhFO18ncdMsWP96+fRcDYJ6g9nLKOTKCs88XzMZHeTWEdC4Dfi3NT42aGFMz67jXctaVXwP2w4y1vMWpkJBavnHY5C9z3hToeb67UbB0LwTlJ2G9BicCc8jX4BhT5/9ca6w79+OzB18c+Qb0k6lsf/4fufxijX9U3pN8bi9wmOS81kYmcyeY4UcO1FMhxYNmD4ylBt7t8JiNpYX1HweFEKIy62uF8NvAflKqTc1TXsWaKKU+lst5xUppfx+y33XVgwnJSXRsGFDmjVrJmEO4pJSSnH8+HFOnTpF+/bt3T0c4UEKi23M35rEnM2JFFsdAHhbTHw11bO6JhWdYptuw6yZGdByADuydhidY4yu8YJxCwD3p9VedjW7xxUdSaXgdK7R2dz+ERz6FWexZ/YBR1n1+zF7G1OzKwq+bhMhqKexBVCDFpW/T6RAevS5C74LKQov1TnHdkD8amjRDRq1hKIc4+99Os9I7M49DMciq6/lrcovEEwWOJlefsAE/SfD6JeNLvy5vsdXqKqFLcD9y+9HodDQuDb4WrZnbffI9cBgbJH0/rp43lt7FIUxkeRPozsxfWQnzCa5lhJCuNelKobdtc/wJGB4+ecLgQ3AGcXwpVJaWkq7du2kEBaXnKZpNGvWjNzcXHcPRXgY//pezBzTGaUU76+LRwFWu85TS2J549ZeDOrgGW/OhQWEMWfsnGqF7kexH/Hxno9RKBy6g58TfubHhB+xOqxXTuhWbdpcYxRnNYtGTTMKWb8Ao4CLX1e9mGveuXqHdP9SY79bMIK8Dv8CB74/92M3DIL6LYyi0cfPWLtsKzGKU90BJjP0vReatDNSsU0WMFuMx4z80Fhva7LAgEfBv7VRjOt24/eJFNi72LgfzWR0dS3eUFYEZafAWgQlJ4yPtdKM7aw0U5VCWINuEyBiMjRua3R+vXzPLHZ7315ZCJ/re3wFWndsHU9veBq7suNj9mFix8rJbSbNRFhgGFN6T/G4N5nK7A6+25nOxxsTOJZfOaXdpIGX2SSFsBDiiuKuznCBUqpxla9PKKXOaJVommYHYgE78KZS6oez3N8jwCMAbdu2DU9JSal2+8GDB+nWrdsl/BsIUZ38jImzqbquWNM0/HwtFBTb6Ne2MU+OCGVk1wCPKIqrqtottpgsTOw4kW+PfOsM9unVvBfPXvMsutI97kLeJc7XZa2t+xnUq7LDejoPdn8BB3+Gip5bYE9jinXZqcrfRdnnKFAvQv3mRlHt42cUqt4NjXW9aeXTlzFB2N0w8HGjg12/mVF4X2hX9wqd4nw+sTmxRGZEomkasTmxbMvYVi0M67bOt/FTwk/YdJtHdoKLrXa+3HGMOZsTyT5ZRp/W/lzXM4h31x6V9cBCCI/j8dOkNU1bAwTVctMLwMILLIZbKaUyNE3rAKwDRimlEs71uLVNk5ZCRVxu8jMmzqXqeroerRrxzc40Pt6QQHpBCV2DGvLkiFCC/H2JSsr3mDV3Nad3Tlk1BZvDBhpYNAtW3YpW/svb7O1xF/Zu93sK5prn1TznvqXQMqyy46vbjf13v3sIHHZjffPtnxn3Y7JUdpDTd8Jnk37bY0mhe8EcuoOorChmrJtBmaMMhaKZbzOGBg9lefLyamFY4FnLDXamnGDj4RxyT5WxYn8WJ4ptDOzQlGkjOjEk1Ji9IuuBhRCeyOOL4XM+qKYdBoYrpTI1TWsJbFBKdTnPn/kUWKaU+vZc53lqMWw2m+nVqxd2u5327dvz+eef07hx4/P/wYvw8ccfU79+fe6///5Ler/Dhw9n1qxZRERc9M/fFcMTfsZE3WJz6PwYm8FHG+JJzD1NRW/Yx8szuy9Vi+PQxqG8tPUl1hxbAxjhP4NbDSaoQRD1LfUZHTLaIy70PZ4r1wNfqnMEALrS+ebwN/yU8BPJJ5Np79+euNw4dHRMmJjWdxpTe0/1uDCsqtYczOaxz3diL98bLjykCc+P70p4iOwRLITwfHW9GP43cLxKgFZTpdRfa5zTBChWSpVpmtYciAQmKaUOnOu+L1UxfKnfCfXz86OoyJju9sADD9C5c2deeOGFi75fd5Bi+ExSDIvfy6ErZi6J5ac9Gc5jf+jcgvfv7ksjX89NKK86ldrL5EV7//YczD8IgIbGnV3u5KGeD5FdnO2xxYAQF6pqURuZEclXh77iRJmxCYZJM3FnlztZenSpx06Brioht4i5mxP5OjoNR/k1oEmDp2V/YCFEHVLXA7TeBL7WNG0ycAz4I4CmaRHAY0qpKUA34BNN03TAhLFm+JyF8IV49ef9HMg4ec5zTpXaOJR1Cl0ZLxBdgxrS8BwXpd1bNeLlG3tc8BgGDRrE3r17ASgqKmLSpEmcOHECm83Ga6+9xqRJk3jrrbfw9fVlxowZzJw5kz179rBu3TrWrl3LggUL+OKLL6rd57PPPstPP/2ExWJh7NixzJo1i1deeQU/Pz+eeeYZoqOjmTx5Mg0aNGDo0KEsX76cffv28emnn/LTTz9RXFxMQkICN998M2+99RYAjz/+ONHR0ZSUlHDbbbfx6quvXvDfUQhxYcwmjQcGt2PVgSysdiOcaOORXAa/sY67B7Tl4SHtCfL3dfMoz1QzeCsmO4bD+YfR0VEovjr8FelF6URlRWF1WLGYLcwbOw/wrGmiQtSmovjtF9CP+IJ43tjxBrrS8TZ7M7jVYBr7NqagrMCZDN2ifoszgug8zc6UE3yyMYHVB7PxMpsY1S2AjUdysTuM9cADOzRz9xCFEMLl3FIMK6WOA6NqOR4DTCn/fBvQy8VDA+BkqZ3yWUPoyvj6XMXwb+FwOFi7di2TJ08GjD1qv//+exo1akReXh4DBw5k4sSJXHvttbz99tvMmDGDmJgYysrKsNlsbNmyhWHDhlW7z/z8fL7//nsOHTqEpmkUFBSc8bgPPfQQs2fPZvDgwTz77LPVbouNjWX37t34+PjQpUsXpk+fTps2bXj99ddp2rQpDoeDUaNGsXfvXnr37n1Jvg9CiErhIU1YNGWgczaKj8XEJ5sSmbs5kQVbk5gUFswj13bgVKndo9buhQWEVbvo9zZ7Oztjrw15jbi8OLakb0FHx+qw8sTaJyi2FaOUknXGwmNFZ0Xz6OpHsem2M26z6TZ6Nu/JQz0fqjYzoqIA9qSf550pJ4hMyMPLbGLNwWyik0/gX8+LaSNCuX9QO1o09JH1wEKIq567OsNucyEd3Krpr14WE+/e2feiXyRKSkoICwsjOTmZ8PBwxowZAxj71D7//PNs2rQJk8lEeno62dnZhIeHs3PnTk6dOoWPjw/9+vUjJiaGzZs3895771W770aNGuHr68uUKVO44YYbmDBhQrXbCwoKOHXqFIMHDwbg7rvvZtmyZc7bR40ahb+/PwDdu3cnJSWFNm3a8PXXXzN79mzsdjuZmZkcOHBAimEhLpPwkCbVnmfev6svfx3XhXlbklgcfYxvd6ZRsaOJtwemuta2RVNgg0CWHF6CVbdiwoSvyZdT6hQApY5SlictB6RTLNwrNieWLelb6BvQlyHBQ/j2yLfVCuGBQQPZnbvbuR9w/6D+tf68e5LIhDzunx+FzWG8s9/cz5uXb+zO7RFtaOBTeelX83lHCCGuNlddMXwhanZpLsULRb169YiNjaWwsJAJEybw4YcfMmPGDBYtWkRubi47d+7Ey8uLdu3aUVpa6vx8wYIFDB48mN69e7N+/XoSEhLOWJtqsViIiopi7dq1LF68mA8++IB169Y5bz/funAfHx/n52azGbvdTlJSErNmzSI6OpomTZrw4IMPUlpaetHfByHEhWvTtD6vTOzBjFGdmP7lbrYm5AFQatOZtzmRnsFh+FjMbh5lpZqdsZoFAxip1FaHFU3TCGkYwtRVUylzlKFpGpN7TububneTdirNY4sMUffF5sQSnRVNUIMg9uTu4ZvD36CjY9EsLLhuAbeE3sLqlNXoSsfL5MWTfZ8EznzTxtM6wQC5p8r4YnsKczYnOgthkwYPDG7HQ0Pau3l0QgjheaQYPovL9W6pv78/7733HpMmTeLxxx+nsLCQgIAAvLy8WL9+PVX3SL722muZNWsW8+fPp1evXjz11FOEh4efsSdpUVERxcXFjB8/noEDBxIaWj0Ao0mTJjRs2JDt27czcOBAFi9efN5xnjx5kgYNGuDv7092djbLly9n+PDhl+R7IIT4bZo28OapsZ3ZOSefsvJ1xb/uyyL6X+u5b2AI9wxoSzM/n/Pci3vULBjmjp1bbZ2x1WFFoVBKMSduDnPi5qCVZ2v7mH08cjsaUXdUDb7q1bwXcXlxTFk1hTJH2RnnVuybPaXXFOaPm19r8eupDmScZP7WJH6KzcDq0IkIacLetEIcujHDbXDH5u4eohBCeCQpht2gb9++9OnTh8WLF3PPPfdw4403EhERQVhYGF27dnWeN2zYMF5//XUGDRpEgwYN8PX1PWO9MMCpU6eYNGkSpaWlKKX4z3/+c8Y58+bNY+rUqTRo0IDhw4c7p0WfTZ8+fejbty89evSgQ4cODBky5OL/4kKI3y08pAmLppbPWGnflNNWB/O3JvHO6iN8sD6em8OCeXhoe4rKPGtdcU3nWmf80sCX+CXpF7ZlbAOM9Zk/J/zMd0e/M7p0Zi/mjZ1HWECYR29ZI9yn6s+FQzl4ZNUjzinPnZp04vr21xv7ZWOknt/Q4QbWpKyptvYXPLPrW1XFemCL2cTGw7lEJh6nnpeZO69pw4OD29GhhZ+sBxZCiAvglq2VLidP3WfY3YqKivDz8wPgzTffJDMzk3fffdfNo7pyyM+YcJf4nFPM35rM0l1plNp0TBoo5bn7FddUs6ituWXT+PbjWRq/1Hm+n5cffVr0ISorCofukCAu4bQ7ZzePrHoEq8OKSTMBYFd25+3XBF3D9L7Tq/181cWZB5uP5vLQgmjn/sDNG3gz9doO3Nm/Lf71PXc7NiGEuJTq9D7Dl5MUw7VbsmQJb7zxBna7nZCQED799FNatGjh7mFdMeRnTLjbidNW/rR4N5uO5jmPXdupBf+9M4ymDbzdOLLfrmqBDDB11VSjwDGZ6BfQj7i8OErtpSgUJkx0adqFYcHDsOk2RrYdWScKGnHxdmXvYkXyCjQ0Mooy2Ja5DbvDjo6OhkZ7//aknkrFoRx4myrfNKmrswoOZZ3k88gUvo5JrbYeeOaYzkwf2cnNoxNCCNeSYvgspBgW7iA/Y8ITVCThV+xXrCsjeXpC75bcNzCEsDaNz8gcqAtq6x5PWTUFu27HpJkwa2ZKHZUBf/2D+vP3gX+noKygThY9onab0zazN3cvQ4KHEJcbx1sxbzlvC6ofRNemXYnMjHSmPtfFrm9NVrvOyv1ZfB6ZQlRyPj4WE4M7NmNrwnEc5fsD14UZIEIIcaldqmJY1gwLIcQVomYSfkNfC59HprB0VxpLd6XTK9if+waF0KZJPXYdK6gzawlrS6muGsQVnRXNB7s/QMd4E+Bw/mESCxP526a/OYOSxoSMIbRxKMX2Yka1HeW8v7raJbzS1Px32Jm9k5XJK/E2eZNfmk9UVhTZxdloaHy6/1NGth3p/LMmTNzR9Q6m9JpS679nXft33ZlygjUHsskrKmXDkTxyT5XRtml9nh/flT+Gt6FJA29ZDyyEEJeIFMNCCHEFqZmE/3839eRv13fl+11pfBaZwl+/3QuAhtE1/nJq3ewqnSuI68NRH1ZLqgZYe2wtq1JWAfDp/k9ZcN0CLJqFySsnG51Esxdzx84F6nYnsS6oWbBuy9jG9LXTsek2LCYLz13zHP+K/pfzjYxG3o1oXq85GhoKhU234eflh6/Zt84FX52LQ1cs2JrEP389SPlyYMJDmvDWrb35Q+cWmEyVszpkf2AhhLg0pBgWQogrnJ+PhfsGtePegSE8uzSOJdGpKKDMrjP9q13MHN2ZCb1bUc/bc/Ys/i1q7mdcUQxVLZAndJjA0qNLnetJY3NiAbDqVgDKHGVMXzudk7aTKKWc2zr1adGHPbl7pEC+CBXFb58WfSiyFvHXTX/F6rCCBk19m5JXUrnO3abbWHNsjTPx2YSJB3s8SP+g/tWCr27seCM3drzxivh3ySgo4euYVL6JSSO9oMR53KTByK4BjOga4MbRCSHElU2KYSGEuEpomsbtEW34MTYdm1031g8r+Mu3e/nHzweY1LcVd/ZvS89g/zo3DbO2qdRVC2SAZYnLzugkepu9sTlsmDQTPhYfdKsx1dqm24jJjuHFLS9y7NQxFAqzZubR3o8S4h9CRlFGtSLsap1uXfPvrZRyvnmglOLIiSOsSlmFrozvaxOfJlgdVmNKu4LGPo0Z0WYEP8T/4EwHH912NLuydzn/rfoH9T/rGx517Xtd8f+qf7smnCi2sTjqGBuP5KIrGNapOXf0b8NHG+Kx2Y31wAM7NHP3kIUQ4oomAVouomka9957L59//jkAdrudli1bMmDAAJYtW3bWP3f48GEeffRRCgoKKCsrY9iwYcyePZuYmBg+++wz3nvvvUs6zldeeQU/Pz+eeeaZ3/xnFy5cyGuvvQbAiy++yAMPPFDr/c+ZM8eZZP3Pf/6T8ePHX9ygPYAn/IwJcaGqFrr92jYmKimfxdGp/BqXSZldp0Pz+qTml+BQCu8rKKCntoK1tuTqqtvuvLvrXWKyq7+mmDQTKKOQDvYLxt/Hnz25e9CVjsVk4c1hbxJQP+Ccj1UXirjaxrsrexe7cnYRERjBwfyDvBX1FnZlx4SJgPoB2JWdImuRs/OroeFQDsD4fFDLQezK2VXte1xbwnNd+15diJ0pJ7h7jhFwV3HlFdjIhz+Gt+GO/m1o07S+87y69EaUEEK4gwRoXW6pUZC8GdoNgzbXXPTdNWjQgH379lFSUkK9evVYvXo1wcHB5/1zM2bMYObMmUyaNAmAuLg4ACIiIoiIuOh//99l+PDhfPrpp7Rr1855LD8/n1dffZWYmBg0TSM8PJyJEyfSpMmZL+QzZ878XcW2EOLSqLnecECHZgzo0IxXbuzBD7HpfLDuKLbyRYulNp0vd6TQp7U/FrPJXUO+JGpbT1rzWM3u45/6/clZIFtMFoa3Hs7qlNXo6Nh0Gw7lIPlksrPgs+k25sbNJakwydkBbd+oPY28GxF3PA6lFF4mL+aNm4fVYWV1ymrCA8MJDwwnsSCRvXl7nZ1QqD1J+3xF9oWeE5UZRc8WPeng34HTttPsztnNruxd3NLpFiwmCw+vfBibbsOEiVYNW3Gy7CQnrScxYcLb7E3rhq2d+/jq6Ph5+9HIuxGxObHo6JgwcUunW/g54Wdn8ft42OPAmeuya+vsXylFcGGxjWVxGXy4Pp6y8qR3gFv6BvPWbb3P+H8l64GFEMJ1rr5iePmzkBV37nPKTkL2PlA6aCYI7Ak+jc5+flAvuP7N8z709ddfzy+//Ed96O4AACAASURBVMJtt93GV199xV133cXmzZvRdZ0uXbqwbds2WrRoga7rdO7cme3bt5OZmUnr1q2d99GrVy8ANmzYwKxZs1i2bBm5ubncfffdHD9+nP79+7NixQp27txJUVER119/PUOHDmXbtm0EBwfz448/Uq9ePebMmcPs2bOxWq2Ehoby+eefU79+/Qv6FtZm5cqVjBkzhqZNmwIwZswYVqxYwV133fW771MI4Vr+9b14YHA7erZqxF1zd2Ar72B9tyudjUfymBTWilv6BdOjlb+7h3rZXMh0641pG53F3f8N+T+gfC9k3YpFs9DBvwOH8w870611dDKLM51ThW26jZ8TfuaH+B+w6lYWH15cbQxeJi/mj5tP8slk/r717879lNv5tyP5ZLKzK/3iwBdZkbyCyIxIHMqBSTPRrWk3jp44il23YzaZ6dq0Kw7dwcH8gygUGhpPhD3BvLh5lDnKnAFjVa1MWcmkjpOw65WFrrfJmzYN23Dg+AHnGwE9mvUg9VSqcyujlwe97PxeVHx/JnacyMSOE+v89ObfyubQ2XQkl+92pbHmQA5Wh07rJvWwmDTjDRGLiXsGhtT5N5iEEKKuu/qK4QtRWmgUwmB8LC08dzF8ge68807+8Y9/MGHCBPbu3cvDDz/M5s2bMZlM3HvvvSxatIg///nPrFmzhj59+tC8eXNmzpzJyJEjGTx4MGPHjuWhhx6icePG1e731VdfZeTIkTz33HOsWLGC2bNnO287evQoX331FXPmzOH222/nu+++49577+WWW25h6tSpgDGled68eUyfPv13/93S09Np06aN8+vWrVuTnp5e67kffPABn332GREREbz99tu1do+FEO4T3q4pX001tmiKCGlCYYmN73al8VlkMvO2JNE1qCG39mtN++YNOJx96oqfznm+7nHNY2CkV1cUhK8NMZaPVO0wK5Sz2NTQaO/fnqTCJBQKh+4gJjuGnOIcZ7Gqo5NTnFOtoI7JjmFPzh5nV1pXOgkFCdh1u1GI65BbnIumac77USgiMyKdSdsaGiPbjsTb5M2K5BXOx9fQ/r+9Ow+vqrr/Pf5eOUlISAIJECAkDAEEmacwaBEQrAGhoAI2ICiJ0Er1ilgerV6pKN5KC/6str0WQRy4EbVahqI/Bod4HZiCzJMyhDAPIZEEyXBy1u+PHA4JGQgkZPy8nidPztl7rbW/+2RxON+z1l6bOo46nnN4/tbnC5yDj5cPY9qNYUy7MSW+FrUl+QXYnHSO5duOk5KRxfqD50i5kE2DAF/G923B6J4RdA6vx/fJaZoCLSJShdS+ZLgUI7gc2QjvjITcbHD4wuiF5TJVumvXriQlJbFkyZJC18nGxcUxatQoHn/8cRYtWkRsbCwAsbGxREdHs2rVKpYvX878+fPZtm1bgbrffPMNS5cuBWDo0KEFksvIyEi6d8/7ENKrVy+SkpIA2LlzJ88++yxpaWlkZGQQHR1dYuxvvfUWr776KgD79+/nrrvuwtfXl8jISJYuXUpR154bYwptmzp1KjNnzsQYw8yZM/n973/PokWLSjy2iFS8K6dq3tmpKakXslm5/Tgff3+M//PpHs8+H4dh4QNRDGxfO1a9vZ7p1lduAwpMH57QYQJ/2fSXQgt8Lf1xqWfbE72eKFBm9E2jGX3T6AIJ6pO9nyxQZu7AuUDBJHZE6xHsTtnteT6p0yQAvjzy5VVXay5NoluTpjiXxv7TGbzx/w/wr8SjnnH2W1o34KH+rRnYPhSffKO/mgItIlK11L5kuDSa94EHV5TrNcOXjBw5khkzZpCQkEBKSsrlQzZvTpMmTfjiiy/YsGED8fHxnn3NmjUjLi6OuLg4OnfuzM6dOwu0WdIiaHXq1PE8djgcXLyYd9uGSZMmsWzZMrp168bbb79NQkJCiXHHxsZ6EvSirhmOiIgo0MbRo0cZNGhQoXaaNGnieTxlyhRGjBhR4nFFpOoICfBl4i2tmHhLK2av3M2ibw5hgZxcS+zbmxjQLpRfdW3GLzs1oZ6fT2WHW6muJ2G+KeSmqyafFVnmUsxXO6/aKDnlZ/6z/Tgrt59gz4nzBfY5DPS/KZQ7OjYppraIiFQVSoaL07xPuSbBl8TFxVG/fn26dOlSKAGdPHkyEyZMYOLEiTgceff7XLVqFUOGDMHHx4eTJ0+SkpJCeHg4e/fu9dTr378/H374IU899RRr1qwhNTX1qnGkp6cTFhZGTk4O8fHxpVrMqyTR0dE888wznmOvWbOGl156qVC5EydOEBYWBsDSpUvp3LlzmY4rIpXjri5hxG84TI7ThcPhxbDOTUlMSuX3/9qG77+9GNg+lF91a0bDAF+2HknTtNAilGbRqMosI5dtPpzK2t0nuZidy9YjaWw7+hMAPVsE88cRHWnRoC6PLvlet0QSEalmlAxXsIiICKZNm1bkvpEjRxYYgYW8pHLatGn4+fkBMHfuXJo2bVogGX7uuecYN24cH3zwAQMHDiQsLIygoCAyMjKKjWP27Nn07duXli1b0qVLF9LT08t0Xg0aNGDmzJn07t0bgD/+8Y+exbQmT57Mww8/TFRUFE8++SRbt27FGEOrVq2YP39+mY4rIpWjV8sQ4if3K3D9o7WWLUfSWLntBJ/sOM7a3ac85X0chgUPRDGolkyllprhwJkM3vomifiNh7k0Cat1owCeHnYzw7uGERFyeeHJK/89iIhI1af7DFchiYmJTJ8+na+//vqa6mVlZeFwOPD29mbdunVMnTqVrVu33qAopSjVpY+JVBSXy/LM0h28v+mIZ5sx0DeyAXd2bMovOzbx3FdVpKpwuSzbjqaxZvcp1uw6yYEzFwrs9zLw+zvb88jtbSspQhERAd1nuMaZM2cOr7/+eoFrhUsrOTmZ++67D5fLha+vLwsWLLgBEYqIlJ6Xl2FsVHOWbT3mmUr9q65h7Dj2Ey+s3M0LK3fTqVk9Ojerj5+Pg5HdwujVqkFlhy210PqDZ/l48zF+upjD1iNpnE7PwuFl6Ne6AQ/c0oqm9f2Y9v4WTYEWEamBNDIsUg7Ux0SKtvlwaqGpo4fOXmDNrpP8e8sx9p28fInGkJsbM6ZXBLe2bUR9/9q9AJfcWEfO/UzCvtMs33qcxMOX19noG9mAmD7Nub19Y4Lr+nq2F9WPRUSk8mhkWEREqryibiUT2SiA3w5sg9NlefnUPlzu72S//vEsn+89jcPL0KtFCAPbhzKwXSiZOblsOHROiYhcs0tJbM8WwWQ5XXz1wxm+2neGg2fzpj/X87v8MchhYEC7UO7pEVGoHd0SSUSkZlIyLCIilaJf64b4ent5pp++G9cHMHz1w2kS9p1h7up9zF29z1Pex2H4+/ieRHdqWnlBS7WQ67L8+/ujPP3vHThdl2fA+bqnOU/o15KB7UNJu5DN/W9u0BRoEZFaStOkRcqB+pjI9Slp+unp9ExmLd/FpztPFtjeokFd+rVuwC1tGtKvdUPC6vtrGmstlP9v3qN5MHtPprPuYArrDqSw8VAK5zOdnrIGuLdXOC+O6oK/r6PYdtR3RESqB02TFhGRaq+k6aeNg/x46LbWfLHvNDlOF94OL8b3bcGx1Ius3nWKDxOPAtC0Xh3OZGTjcll8vb14b3JfLcZVw208lMKENzeS43RhDNT1dZCRlQtAy4Z1GdY5jKb1/fjnVwdw5uaN+o7v07JQIgyaAi0iUpspGa4gxhgmTJjA4sWLAXA6nYSFhdG3b19WrlxZbL19+/bx29/+lrS0NLKysrjtttt44403SExM5N133+W1114r1zhnzZpFYGAgM2bMAODxxx/n3nvvZcCAAUyePJknnniCjh07Flt/2bJltGvXrsQy1+LMmTNMnDiRVatWXVf9Q4cOERMTw7lz5+jZsyeLFy/G19e3QJm1a9fyhz/8gezsbHx9fZk7dy6DBw8GYNCgQZw4cQJ/f38g777PjRvrPqkiFaWo+xlD3jTYPSfOs/5gCks2JnPyfBYAWU4XExdtpH/bRvRoEULPFsF0jQjG39ehEcBq5Mq/1Zn0LLYkp/J9chrfJ6fy/eFUz/Rna6FVwwBifxFJvzYNCQ/297QzoF2o/uYiIlIsJcPF2Hp6K4mnEolqEkX3xt3L3F5AQAA7d+7k4sWL+Pv7s3btWsLDw69a77HHHmP69OmMGjUKgB07dgAQFRVFVFSZZwaU6Ny5c6xfv56//vWvACxcuPCqdZYtW8aIESOuKRl2Op14exfdFUNDQwkLC+Pbb7/lF7/4RbFtvP322yQlJTFr1qwC25966immT59OTEwMDz/8MG+++SZTp04tUKZRo0b85z//oVmzZuzcuZPo6GiOHTvm2R8fH3/DX2sRKV5RI3cOL0Pn8Pp0Dq9PjxYh3L9wPdlOF17G0LtVCD+ezmDN7lOesi0b+HP43EXP6PHih/rQJ1LXh1ZF3+4/S+zbmzyjvo0CfTmdng3kXTfesVl97uzUhLW7T5Hr/ns+P6pzkcmuRn1FRKQktTIZjl0VW2hbdKtoYm6O4aLzIg98+gD7UvdhsRgM7UPac3/H+7m77d2kZqbyRMITBeq+NfStUh132LBhfPLJJ4wZM4YlS5Ywbtw4vv76a1wuF+3bt+e7774jNDQUl8tFu3btWL9+PSdOnCAi4vLKll26dAEgISGBefPmsXLlSs6cOcP48eNJSUmhd+/erFq1is2bN5ORkcGwYcPo378/3333HeHh4Sxfvhx/f38WLFjAG2+8QXZ2Nm3btmXx4sXUrVu3QLwfffQRQ4cO9TwfNGgQ8+bNIyoqisDAQKZNm8bKlSvx9/dn+fLlHDhwgBUrVvDVV1/x4osv8vHHHwPwyCOPcObMGerWrcuCBQu4+eabmTRpEg0aNGDLli307NmToKAgDhw4wLFjxzhy5AhPPvkkU6ZMAeDuu+8mPj6+xGS4KNZavvjiC9577z0AHnzwQWbNmlUoGe7Ro4fncadOncjMzCQrK4s6depc0/FEpHIUN3p87kI2W5JT2ZKcxoptx8l1jyRmOV2MW7CBTs3q0TGsHh3dvzuE1WPvyXSNJN5gnlHfyAY0b1CXXSfOs/u4++fEeQ65V3qGvFHf4Lq+TLmtDT1aBNM5PO++1AXa0d9KRESuk1dlB1AVpeekY3FPv8KSnpN+lRqlExMTw/vvv09mZibbt2+nb9++AHh5eTFhwgTi4+MB+Oyzz+jWrRuNGjVi+vTpDB48mGHDhvHKK6+QlpZWqN3nn3+ewYMH8/3333PPPfeQnJzs2ffjjz/yyCOPsGvXLoKDgz0J6r333sumTZvYtm0bHTp04M033yzU7rfffkuvXr2KPJcLFy7Qr18/tm3bxoABA1iwYAG33norI0eOZO7cuWzdupU2bdrwm9/8hr/97W9s3ryZefPm8bvf/c7Txg8//MBnn33Gyy+/DMD27dv55JNPWLduHS+88ALHjx8H8kbBv/7662t+vVNSUggODvaMOkdERBQY8S3Kxx9/TI8ePQokwrGxsXTv3p3Zs2dT0xacE6kperUM4ZHb2xZIihoE+DKkQxNmRLfnlV93x8/HCy+TN7o4omsY9fx8WL3rJH9cvosx/1xHp+dWM+b175i7eh+/nr+OV9buY/vRNDKynAWOtflwKv/4cj+b892fVi678vWx1nL6fCbrDqTwp0/3cN/8dcxdvY/R/1xHnz99Tuxbm5i7eh87jv1E+yZBjOvdHB+HwcuAn48XL93blSkDWhPVqoEnEYai/+YiIiLXolaODJc0kuvv7c+c2+YwZc0Uclw5+Hj5MOe2OZ6p0iF+IaUeCb5S165dSUpKYsmSJdx1110F9sXFxTFq1Cgef/xxFi1aRGxs3uh1bGws0dHRrFq1iuXLlzN//ny2bdtWoO4333zD0qVLARg6dCghIZc/GERGRtK9e17svXr1IikpCYCdO3fy7LPPkpaWRkZGBtHR0YXiPXHiBKGhoUWei6+vLyNGjPC0u3bt2kJlMjIy+O677xg7dqxnW1ZWlufx2LFjcTguf7AZNWoU/v7++Pv7c/vtt7Nx40buvvtuGjdu7EmM80tJSWHIkCFA3pTu7Oxsli1bBsDixYtp2rTw7VeMMUWeD8CuXbt46qmnWLNmjWdbfHw84eHhpKenM3r0aBYvXswDDzxQbBsiUjUVN3psreXk+Ux2Hz/PW98m8c3+swA4XZZXP9/Pq5/vB6BJvTq0CQ0kyM+bz/ecJtdafB1evDWpN7e2bVRp51VVWGtJ/TmHz3ef4pllO3DmWryMITI0gFM/ZZJ+xRcKlwy+uTEPD2zDzWFB1PPz8WwfE9Vco74iInLDVUoybIwZC8wCOgB9rLWJxZQbCrwKOICF1to5FRFf98bdWXDngnK9ZviSkSNHMmPGDBISEkhJSfFsb968OU2aNOGLL75gw4YNnlFigGbNmhEXF0dcXBydO3dm586dBdosabQy/winw+Hg4sWLAEyaNIlly5bRrVs33n77bRISEgrV9ff3JzMzs8h2fXx8PImlw+HA6Sz8QcflchEcHMzWrVuLbCMgIKDA8ysT1UvPMzMzPQtY5dewYUNP20VdM2ytJS0tzXNN8tGjR2nWrFmRsRw9epR77rmHd999lzZt2ni2X7quOygoiPHjx7Nx40YlwyLVVFHXjxpjCKvvT1h9f4Lr+pJ4+JznnrN/Gd0VX28HB89mcOD0BQ6cySAx38JNWU4X4xduIKSuDxEhdQkP9ic8xJ/wYH8ynbmcSMuk/02NGNgutMCI5iVVbZpvcfFYa8nIcpKSkc23+8+y7mAK9f19sMCx1IscS7vIsdSLXMzJLdBerrXkOF3c0zOcNqGBtAkN5EK2k2nvb/G8xsWN7OpaXxERqQiVNTK8E7gXmF9cAWOMA/gH8EvgKLDJGLPCWru7IgLs3rh7uSbBl8TFxVG/fn26dOlSKAGdPHkyEyZMYOLEiZ4R01WrVjFkyBB8fHw4efIkKSkphIeHs3fvXk+9/v378+GHH3pGNVNTrz51Lz09nbCwMHJycjyjn1fq0KED+/fvZ9CgQaU+v6CgINLT86aV16tXj8jISP71r38xduxYrLVs376dbt26FVl3+fLlPP3001y4cIGEhATmzMn77uOHH36gc+fOpY7hEmMMt99+Ox999BExMTG88847noXI8ktLS2P48OG89NJLBa5LdjqdpKWl0ahRI3Jycli5ciV33HHHNcchItVDcaPH+W1OOsf4hRvIyXXh8DKMjWqOtXAs7SI/nk4n4YfTZOa4POUXrz8MQFAdbxoG+tIwsA6NAn1xWfhy72lyXRZvh+GxwTfRtXkwgXUcBNbxIaCOg6A6Puw7dZ5NSaklJsylSao3J53jm/1n6RpRn9ahgWRkOcnIdHIh20l6ppM9x8+z8JtD5LryRnS7Na+P02U5m57F2QvZZDtdhdoMquOgZaMA2oQGMOCmUMJD/MnKyeWvn/9Irvt2Rv/16+6FYrraaywiIlJRKiUZttbugZKnrAJ9gP3W2oPusu8Do4AKSYZvlIiICKZNm1bkvpEjRxIbG+uZIg15t/KZNm0afn5+AMydO5emTZsWSIafe+45xo0bxwcffMDAgQMJCwsjKCiIjIyMYuOYPXs2ffv2pWXLlnTp0sWTwOY3fPhw5s+fz+TJk0t9fjExMUyZMoXXXnuNjz76iPj4eKZOncqLL75ITk4OMTExxSbDffr0Yfjw4SQnJzNz5kzPKO6XX37J8OHDSx1Dfn/+85+JiYnh2WefpUePHjz00EMArFixgsTERF544QX+/ve/s3//fmbPns3s2bOBvNc9ICCA6OhocnJyyM3N5Y477vAs6iUiNdPVRiR7tWrAe1OKT+astcxbs4/XEw7gsmCA/m0b0aZxIGczskjJyObQ2QscOXfRM8Kck2t5ee0PV43N38eBr7cXPg6Dw8vg7eVFrsvFqfNZWPKO1TDAFy8vg9Nlcea6cLos2bkunLmlX+8g11qOpV3k5qb1aNs4kNDAOjQM9GVrchr/vesk1oLDwMOD2vLI7W0L1e/bumGJya5GfUVEpKowlbkgkDEmAZhR1DRpY8wYYKi1drL7+USgr7X20SLK/gb4DUCLFi16HT58uMD+PXv20KFDh/I/gXKWmJjI9OnTr3mxqKysLBwOB97e3qxbt46pU6cWOzX5WvXv35+VK1cSHBxcLu0V58r7G+c3YMAAli9fXuBa6KqmuvQxEbnxNh9O5f6F6z1TgeMn9yuU/OUv4+3w4qV7u9CyYV3SM51cyMolIyuHVbtOkbD3tCfR7dUyhE7N6rkTXYvTZdl94if2nLj8ZWbnZvXoElHfkyx7exm2H0tj06FUTztDOzdlVPdwAut4E+jnTWAdBwfPXOCxJVvIyS1dzMWVERERqQjGmM3W2jLf+/SGjQwbYz4DCq9gBP/bWru8NE0Usa3IzN1a+wbwBkBUVFS1XO53zpw5vP766wWuFS6t5ORk7rvvPlwuF76+vixYsKDc4nr55ZdJTk6+4clwcc6cOcMTTzxRpRNhEZH8SjPdujRl2jYOYt2Bs57k8+m7Olw1QS3qfrtXlpl8W+tCZdo2DiK+hBHv0sYsIiJSnVTlkeFbgFnW2mj386cBrLUvldRmVFSUTUws2JxG7eRGUx8TkRuhVNcDl1MZERGR6qLKjwyXg03ATcaYSOAYEAOMv97GrLVXu0ZZ5Lro3sMicqOU5vra8iojIiJS23hVxkGNMfcYY44CtwCfGGNWu7c3M8Z8CmCtdQKPAquBPcCH1tpd13M8Pz8/UlJSlLRIubPWkpKS4lngTEREREREqodKnSZ9IxQ1TTonJ4ejR48We89ckbLw8/MjIiICHx+fyg5FRERERKTGqw3TpMuNj48PkZGRlR2GiIiIiIiIVBGVMk1aREREREREpDIpGRYREREREZFaR8mwiIiIiIiI1Do1bgEtY0w6sK+y4xApB42As5UdhEg5UF+WmkD9WGoK9WWpCdpba4PK2khNXEBrX3msLCZS2YwxierLUhOoL0tNoH4sNYX6stQExpjEq5e6Ok2TFhERERERkVpHybCIiIiIiIjUOjUxGX6jsgMQKSfqy1JTqC9LTaB+LDWF+rLUBOXSj2vcAloiIiIiIiIiV1MTR4ZFRERERERESqRkWERERERERGqdapUMG2OGGmP2GWP2G2P+UMT+OsaYD9z7NxhjWuXb97R7+z5jTHRFxi1ypevty8aYXxpjNhtjdrh/D67o2EUuKct7snt/C2NMhjFmRkXFLFKUMn6+6GqMWWeM2eV+b/aryNhFLinDZwsfY8w77v67xxjzdEXHLpJfKfryAGPM98YYpzFmzBX7HjTG/Oj+efBqx6o2ybAxxgH8AxgGdATGGWM6XlHsISDVWtsWeAX4s7tuRyAG6AQMBf6vuz2RCleWvgycBX5lre0CPAgsrpioRQoqYz++5BXgv290rCIlKePnC2/g/wEPW2s7AYOAnAoKXcSjjO/JY4E67s8WvYDfXvnlpUhFKWVfTgYmAe9dUbcB8BzQF+gDPGeMCSnpeNUmGSbvhPZbaw9aa7OB94FRV5QZBbzjfvwRMMQYY9zb37fWZllrDwH73e2JVIbr7svW2i3W2uPu7bsAP2NMnQqJWqSgsrwnY4y5GzhIXj8WqUxl6ct3AtuttdsArLUp1trcCopbJL+y9GMLBLi/3PEHsoHzFRO2SCFX7cvW2iRr7XbAdUXdaGCttfactTYVWEveQGixqlMyHA4cyff8qHtbkWWstU7gJ6BhKeuKVJSy9OX8RgNbrLVZNyhOkZJcdz82xgQATwHPV0CcIldTlvfkdoA1xqx2T9l7sgLiFSlKWfrxR8AF4AR5I27zrLXnbnTAIsUoS952zXW9rym0ymWK2HblfaGKK1OauiIVpSx9OW+nMZ3Im950ZznGJXItytKPnwdesdZmuAeKRSpTWfqyN9Af6A38DHxujNlsrf28fEMUuaqy9OM+QC7QDAgBvjbGfGatPVi+IYqUSlnytmuuW51Gho8CzfM9jwCOF1fGPdWjPnCulHVFKkpZ+jLGmAhgKfCAtfbADY9WpGhl6cd9gb8YY5KAx4FnjDGP3uiARYpR1s8XX1lrz1prfwY+BXre8IhFCitLPx4PrLLW5lhrTwPfAlE3PGKRopUlb7vmutUpGd4E3GSMiTTG+JK3INaKK8qsIG9RIYAxwBfWWuveHuNeRS8SuAnYWEFxi1zpuvuyMSYY+AR42lr7bYVFLFLYdfdja+1t1tpW1tpWwF+BP1lr/15RgYtcoSyfL1YDXY0xdd3JxUBgdwXFLZJfWfpxMjDY5AkA+gF7KyhukSuVpi8XZzVwpzEmxL1w1p3ubcWqNtOkrbVO98jBasABLLLW7jLGvAAkWmtXAG8Ci40x+8n7pivGXXeXMeZD8v6DcgKPaIELqSxl6cvAo0BbYKYxZqZ7253ub3JFKkwZ+7FIlVHGzxepxpj/Iu/DmwU+tdZ+UiknIrVaGd+T/wG8Bewkb5rpW+7FiUQqXGn6sjGmN3mzJEOAXxljnrfWdrLWnjPGzCbvPRnghatd/27yvhASERERERERqT2q0zRpERERERERkXKhZFhERERERERqHSXDIiIiIiIiUusoGRYREREREZFaR8mwiIiIiIiI1DrV5tZKIiIitYExpiHwuftpUyAXOON+/rO19tZKCUxERKSG0a2VREREqihjzCwgw1o7r7JjERERqWk0TVpERKSaMMZkuH8PMsZ8ZYz50BjzgzFmjjHmfmPMRmPMDmNMG3e5UGPMx8aYTe6fX1TuGYiIiFQdSoZFRESqp27ANKALMBFoZ63tAywE/pe7zKvAK9ba3sBo9z4RERFB1wyLiIhUV5ustScAjDEHgDXu7TuA292P7wA6GmMu1alnjAmy1qZXaKQiIiJVkJJhERGR6ikr32NXvucuLv//7gXcYq29WJGBiYiIVAeaVX4QqwAAAIlJREFUJi0iIlJzrQEevfTEGNO9EmMRERGpUpQMi4iI1FyPAVHGmO3GmN3Aw5UdkIiISFWhWyuJiIiIiIhIraORYREREREREal1lAyLiIiIiIhIraNkWERERERERGodJcMiIiIiIiJS6ygZFhERERERkVpHybCIiIiIiIjUOkqGRUREREREpNb5H1VJ7X6c8QAMAAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 1152x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Sine wave\n",
"sample_rate = 1e3 # Hz\n",
"f_sine = 10\n",
"time = np.arange(0, 1, 1/(sample_rate)) #s\n",
"time2 = np.arange(0, 1, 1/(sample_rate*2)) #s\n",
"phase_offset = 0\n",
"\n",
"signal_func = lambda t: np.cos(2*np.pi*f_sine*t + phase_offset)\n",
"\n",
"mysignal = TravelSignal(signal_func(time), sample_rate)\n",
"\n",
"fig, ax = plt.subplots(figsize=(16,4))\n",
"ax.plot(time, signal_func(time), '.-', label=\"Raw signal\")\n",
"ax.plot(time, mysignal(time)+0.5, '.-', label=\"MySignal +0.5\")\n",
"ax.plot(time2, mysignal(time2)+0.25, '.--', label=\"MySignal(interp) +0.25\")\n",
"ax.set_ylabel(\"Amplitude\")\n",
"ax.set_xlabel(\"Time\")\n",
"ax.set_xlim(0, 1/f_sine)\n",
"ax.legend()\n",
"plt.show();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Extrapolation: Sine wave"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# Sine wave\n",
"sample_rate = 1e3 # Hz\n",
"f_sine = 10\n",
"time = np.arange(0, 1, 1/(sample_rate)) #s\n",
"time2 = np.arange(3/4, 2, 1/(sample_rate*2)) #s\n",
"phase_offset = 0\n",
"\n",
"signal_func = lambda t: np.cos(2*np.pi*f_sine*t + phase_offset)\n",
"\n",
"mysignal = TravelSignal(signal_func(time), sample_rate)\n",
"\n",
"fig, ax = plt.subplots(figsize=(16,4))\n",
"ax.plot(time, signal_func(time), '.-', label=\"Raw signal\")\n",
"ax.plot(time, mysignal(time)+0.5, '.-', label=\"MySignal +0.5\")\n",
"ax.plot(time2, mysignal(time2)+0.25, '.--', label=\"MySignal(interp) +0.25\")\n",
"ax.set_ylabel(\"Amplitude\")\n",
"ax.set_xlabel(\"Time\")\n",
"ax.legend()\n",
"plt.show();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Interpolation: Delta function"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"## 1d signal: Delta peak with time interval\n",
"sample_rate = 3e1 # Hz\n",
"interp_sample_rate = 2.3*sample_rate\n",
"time = np.arange(0, 1, 1/sample_rate) #s\n",
"time2 = np.arange(0, 2, 1/(interp_sample_rate)) #s\n",
"\n",
"signal = np.zeros(len(time))\n",
"if False:\n",
" signal[len(signal)//2] = 1\n",
"else:\n",
" signal[len(signal)//2-1] = 1\n",
" signal[len(signal)//2] = 0.75\n",
" signal[len(signal)//2+1] = 1\n",
"\n",
"mysignal = TravelSignal(signal, sample_rate)\n",
"time_signal, time_offsets = mysignal._translate(time)\n",
"time2_signal, time2_offsets = mysignal._translate(time2)\n",
"\n",
"raw_max_idx = np.argmax(signal)\n",
"my_max_idx = np.argmax(mysignal(time))\n",
"my2_max_idx = np.argmax(mysignal(time2))\n",
"\n",
"\n",
"fig, ax = plt.subplots(1,1,sharex=True, figsize=(16,4))\n",
"ax.plot(time, mysignal.raw, '.-', label=\"Raw signal\")\n",
"ax.plot(time, time_signal, '-', label=\"MySignal +0.5\")\n",
"ax.plot(time2, time2_signal, '--', label=\"MySignal(interp) +0.25\")\n",
"ax.plot(np.array([0, 1/sample_rate]) + time[raw_max_idx], [1.04, 1.04], label=\"Orig Samplerate\")\n",
"ax.plot(np.array([0, 1/interp_sample_rate]) + time[raw_max_idx], [1.02, 1.02], label=\"Interp Samplerate\")\n",
"ax.set_ylabel(\"Amplitude\")\n",
"ax.set_xlabel(\"Time\")\n",
"ax.legend()\n",
"\n",
"plt.show();"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Non-Periodicity: Gaussian pulse"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"sample_rate = 3e2 # Hz\n",
"interp_sample_rate = sample_rate * 1/10 # Hz\n",
"\n",
"t_offset = 1\n",
"periodic = False\n",
"\n",
"time = t_offset + np.arange(0, 1, 1/sample_rate) #s\n",
"time2 = np.arange(0, 3*t_offset, 1/(interp_sample_rate)) #s\n",
"\n",
"def gaussian(x, mu, sigma ):\n",
" return 1/(sigma*np.sqrt(2*np.pi)) * np.exp(- (x-mu)**2 / sigma**2 )\n",
"\n",
"signal = gaussian(time, time[len(time)//2], (time[-1] - time[0])/10)\n",
"\n",
"\n",
"mysignal = TravelSignal(signal, sample_rate, t_0 = t_offset, periodic=periodic)\n",
"\n",
"fig, ax = plt.subplots(1, 1, figsize=(16,4))\n",
"ax.set_ylabel(\"Amplitude\")\n",
"ax.set_xlabel(\"Time\")\n",
"\n",
"ax.plot(time, signal, label='Raw signal')\n",
"ax.plot(time, mysignal(time)+0.5, '-', label=\"MySignal +0.5\")\n",
"ax.plot( time2, mysignal(time2)+0.25 , '--', label=\"MySignal(interp) +0.25\")\n",
"ax.legend()\n",
"\n",
"plt.show();"
]
}
],
"metadata": {
"kernelspec": {
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