{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Did not find any configuration file. Using defaults.\n"
     ]
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "import re\n",
    "from pathlib import Path\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "from spectrometer import FID1D, plot, process\n",
    "cm = 1 / 2.54\n",
    "figsize = (13.0*cm, 6.5*cm)  # Thesis: 16cm * 8cm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load raw *.fid data\n",
    "fids: list[FID1D] = []\n",
    "for file in Path(\"../data/20230822-105316-Water-1H-rabi-nutation\").glob(\"*.fid\"):\n",
    "    fids.append(FID1D.from_file(file))\n",
    "\n",
    "# Extract pulse lengths from metadata\n",
    "pattern = r\"length=(.*)us,delay=\"\n",
    "pulse_lengths_us = [float(re.search(pattern, str(fid.pulse))[1]) for fid in fids]\n",
    "\n",
    "# Sort data by pulse lengths\n",
    "pulse_lengths_us, fids = zip(*sorted(zip(pulse_lengths_us, fids)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Pulse length of 90-degree pulse candidate: 6.654060066740823\n",
      "Pulse number: 17\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 511.811x255.906 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Find FID with largest signal strength and estimate phase shift on it\n",
    "signal_strengths = []\n",
    "for _i, fid in enumerate(fids):\n",
    "    spec, p0 = fid.spectrum(phase_shift_kwargs=False)  # No phase shift\n",
    "    x = np.flip(spec.hz.scale)\n",
    "    y = np.flip(spec[:])\n",
    "    y = np.square(np.abs(y))\n",
    "    integral = np.trapz(y)\n",
    "    signal_strengths.append(integral)\n",
    "\n",
    "# Find FID with largest signal, use median to avoid outliers\n",
    "max_pulse_idx = int(np.argmax(signal_strengths))\n",
    "median_max_pulse_idx = np.where(\n",
    "    signal_strengths\n",
    "    == np.percentile(\n",
    "        signal_strengths[max_pulse_idx - 5 : max_pulse_idx + 5],\n",
    "        50,\n",
    "        method=\"closest_observation\",\n",
    "    )\n",
    ")[0][\n",
    "    0\n",
    "]  # 'median' picking closest on even array\n",
    "print(\n",
    "    f\"Pulse length of 90-degree pulse candidate: {pulse_lengths_us[median_max_pulse_idx]}\"\n",
    ")\n",
    "print(f\"Pulse number: {median_max_pulse_idx}\")\n",
    "\n",
    "# Plot raw data\n",
    "# TODO: Why this shape?\n",
    "# => composite pulses? very inhomogenous, sinc excites less at edges of peak?\n",
    "fig, axes = plot.subplots(\n",
    "    figsize=figsize,  # Wide Layout: ~16cm, Margin Layout: 10.7cm\n",
    ")\n",
    "axes.plot(\n",
    "    pulse_lengths_us,\n",
    "    np.real(signal_strengths),\n",
    "    linestyle=\"\",\n",
    "    marker=\"o\",\n",
    "    markersize=2,\n",
    ")\n",
    "axes.set_ylabel(\"Signal strength [a.u.]\")\n",
    "axes.set_xlabel(\"Pulse length [μs]\")\n",
    "\n",
    "plot.format_axes(axes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Estimated phase offset: 14.64325000000002\n",
      "Estimated Full Width at Half Maximum: 150.50464205913485 Hz\n",
      "Estimated peak location: -579.1879748314328\n",
      "4113\n",
      "8\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 511.811x255.906 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Estimate zero-order phase correction\n",
    "spec, p0 = fids[median_max_pulse_idx].spectrum()\n",
    "print(f\"Estimated phase offset: {p0}\")\n",
    "\n",
    "# Estimate peak width to integrate over\n",
    "fit_lorentz = spec.hz.fit_lorentz()\n",
    "print(f\"Estimated Full Width at Half Maximum: {fit_lorentz.fwhm} Hz\")\n",
    "print(f\"Estimated peak location: {fit_lorentz.position}\")\n",
    "\n",
    "spec.hz.crop_around(spec.hz.max_peak, 6000).plot(figsize=figsize)\n",
    "\n",
    "fit_lorentz_idx = spec.fit_lorentz()\n",
    "peak_idx = spec.max_peak  # int(np.round(fit_lorentz_idx.position))\n",
    "peak_width_idx = int(np.round(fit_lorentz_idx.fwhm * 2))\n",
    "print(peak_idx)\n",
    "print(peak_width_idx)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Process rabi nutation\n",
    "signal_strengths = []\n",
    "for fid in fids:\n",
    "    spec, p0 = fid.spectrum(\n",
    "        phase_shift_kwargs={\"p0\": p0}\n",
    "    )  # All with same phase correction\n",
    "    integral = spec.hz.integrate_around(fit_lorentz.position, fit_lorentz.fwhm * 4)\n",
    "    signal_strengths.append(integral)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 511.811x255.906 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot raw data\n",
    "cm = 1 / 2.54\n",
    "fig, axes = plot.subplots(\n",
    "    figsize=figsize,  # Wide Layout: ~16cm, Margin Layout: 10.7cm\n",
    ")\n",
    "axes.plot(\n",
    "    pulse_lengths_us,\n",
    "    np.real(signal_strengths),\n",
    "    linestyle=\"\",\n",
    "    marker=\"o\",\n",
    "    markersize=2,\n",
    ")\n",
    "axes.set_ylabel(\"Signal strength [a.u.]\")\n",
    "axes.set_xlabel(\"Pulse length [μs]\")\n",
    "\n",
    "plot.format_axes(axes)\n",
    "\n",
    "fig.savefig(\"rabi_nutation_raw.pdf\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Amplitude: 331423.9205384516\n",
      "Frequency: 0.03097051250293314 MHz\n",
      "Period/2pi-pulse: 32.288777911095025 us\n",
      "Offset: 4056.589990672214\n",
      "Phase: -0.20413639791256818\n",
      "Lambda: 0.014213444841096667 MHz\n",
      "'T2*': 70.35592083268978 us\n",
      "pi/2-pulse: 8.072194477773756 us\n"
     ]
    },
    {
     "data": {
      "image/png": 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Sp4KFkpISnn32WaZMmYKPjw9jx45l3rx5DepadkZubi6PPvookZGRDBs2jBkzZnD8+HGOHDlCYGAg3t7egFZyOjMzk/PnzxMfH0/v3r0xGLTOk+HDh3Pw4EHKysrYvn07gwYNsvcIDB8+nISEBAC2bNnC0KFDAVAUheHDhxMfH2/fZus50ev1REdH27ddTS4nOMID+jhisv4NpvIrv7FWB0nr9ZiM6hlkDxRAWw0z4VR+q7VHCCGuZ04FC1FRUeh0Ojp27EhycrJ9Aamvv/7apY2zGTduHKGhl7vDDQYDYWFhnDp1isDAQPvr7u7u9qGJ1NTUatuCg4PR6/UUFBSQmppKUNDl6YGdO3emqKiIysrKOrfl5eWhqmqd22wJe/UpLy+nrKzM/qe5AqqaJvQN4c7enngrlxIb/To5foPVyjOB8fyv4VM80YaWZg3v0sytrJ9trQrQAgWrihSKEkKIVuJUzsKECRN47733mDdvHgMGDODRRx9FVVV69bpCEp2LHDx4kEmTJnH+/PlaVSM9PT0pLS2lqKioWnsURcHT05OSkhKKiorw8PCo9h7A/r6a20pKSigtLcVisdTaVlpa6rCtCxYsqPb19OnTmTFjRuM/dANVzVfoSxp4oNVYcLtCdU1FISrxTaIMRWRGTOG8e3iztbGhFk2KZEiXABJO5TOyR5CUnxZCiFbiVLDQq1cv+404NjaWbt26ceHCBQYPHuzSxtXl6NGjKIpCbGwsH3zwQa0ndYPBgLe3N2azucHbbEMV9W2zvQ5aRr+t+qBtmyNLly6tFtC4ubk58akbrmq+Qhd9nvaifwN6CBQF2kdA1mHOpqWw3erNluSc1ktyNJbBgVXElhcQe/ND4C+BghBCtBaX1Fno3bue1QxdrKCggM2bN/Pkk0+iKAr+/v61VrqsqKjAz88Pf39/ysvLG7StoqICd3d3PD0969zm5+eHr68viqJQXl5u74mwbXPEy8vrigGFK1VdQKojtmChgb0E/l0g6zCdlbwqSY5nXRYs6PV6Ro0aZf97vSwm+PdUOKvlkbD3PfhlXP3lqoUQQjSrBuUsfPzxx04d3Nn31aWiooK1a9cyf/58+1BAaGgoGRkZ9n2sVitlZWV07dq11raSkhL8/f3x8/OrtS03N5fIyMg6j2nbptfrCQ4Orvd9VwtbQaY5Md14pP+lG3JA14a9+VJQ0Umpmkio1r2vE/R6PRMnTmTixIn1BgtxSdl8v+JlLVDw8NPqP5Tls/Pzv8tsCCGEaCUNChZsCYyN5ez7ajKbzSxbtoz+/ftz+vRpjh49ytGjR4mIiCAjI8OeZHjs2DGGDBmCu7s7o0ePJjExkbKyMkArGDV+/HgURSEmJoZ9+/bZhxZs2wBiYmLYvXs3qqrdJA8cOGBf/Mi2DbS6EomJiYwePdoln9GVYqNCefnOKCIMF7QXGtyzYAsW8uzzIGYNb2Cg4QJxSdksXPUTQzP+DUDi4BfZOXoFc4zPMefMbcxbtU8CBiGEaAUNGoY4f/48f/rTnxp1YFVVXVas6N///jd79uypVdNg6tSpPP3006xatYrw8HDMZjOzZ88GICwsjIceeoh//etfhIeHoyiKvQ7EgAEDGDduHO+++y6dOnXCy8vLftMfN24c2dnZ/Otf/yIoKIh+/frZew+mTp3KypUrWbFiBV5eXkycOLHaLI2rRVxSNvGp+Yzu9yoTJr4KHj4Ne+OlYGFsaCW3+oa4vF2qqlJUVKR9K3//Wj8fa/amc5f+J9orJZy1BrPgSC96d7SwU70Bi6qiXNpHEh2FEKJlKartEdqBgoIC+1N4YxgMBtq3b+9Uw9q6srIy5s6dy4oVK1o0Z6HqbAiLqjYuQfHsXvhgAuXeneh34U3njuGA0WjktddeA+D555/H3d292vZHV+6l7PhWHtLHsc8ayQeWO6ptd8eEgso7s0dLwCCEEC2oQT0L1+sNvy2qOhtCrygknMpv+I01pB/M2cjyfRXoCyqdO0YTzLqxK/OODeAn6wD7a3pFoX07Nx6u+Jg5+k28Yp5DwqlICRaEEKIFuXQhKdH6bNUbA5QyFhuW8uDFFdqKUg3h4QPdYoiKGmAPFCyq2mLFkGzJmYPD/QGtGJNFVckrMWJBh69SziTdHinOJIQQLcxlS1SLq4Pthpt6dA/Tjv4I6UdBebPRx5nQNwQUhVnDu7TIU3xcUjbnDn6P2bsDhzKMKChYq8Q4cZZhPGX4gpsNSXhGBtZ/ICGEEC4nPQvXoNioUB4f2k77wjesUe/9ecunpPxnEUXHd7EluWVmHtjyLG4+9kcePTiD8bqDtSZsJqldKVB98FTL4fzPLdIuIYQQGpcGC6dOnXLl4URTXLx0o/dpXK+ALmkDCw0bGKYk2/MVmlt8aj7BFNFTlwnAAWvtIl8qOtJ8tQW+1n/xH5lCKYQQLcjpYOHMmTPs2rWLHTt2sGPHDrZv385//vMfV7ZNNMVF7caLb8dGvc03tDsAnXV5LZavMKpnENG6FACSrV0oovZUz25B3nxRoFVwDMnbIzUXhBCiBTmVs7B69Wo2bNhAx44da82UcGV9BdEEJZdupI0MFnr0ioRkGORTzOB2/qzZmw7gkrwFnU7HsGHD7H+3iY0KJSAiBzJhn7V6RUwFrYbk6fwy3JR+ANygO4keS4vN0hBCiOudU8HC999/z0svvUT//v1d3R7hAnFJ2XQ6fpz+AD6NCxbw6wyAoTSbQwVaASVXLShlMBiYPHlynduGe5wF4LDaw/5adER7KkwWDDqFIxlFnFQ7EWeJJkntigcmPN0crC8hhBDCZZwKFkJDQ+nTp0+t161Wa7UnRtHybMmCn7ufAx0cKvKiUWuBXkqIDFUu2F9SoHmf4lUV07lDuAFJ1m4A3DEwjI1HMu3TNzU65pl+o/1NgQqTpXnaI4QQohqn7uz33Xcfu3btqvX6+vXrm9wg0TRr9qajAPcZXySm8h2+q4hq3AH8OgEQpFzEHW2pbhVckrugqiqlpaWUlpZSrXBo4RncTMUYVT3H1XD0isKZ/NJqxaUGh/vTJVBb6luvaNMqr6Z6C3FJ2fzx6yTJoxBCXJMa1LPw+9//noKCgmqvFRYW8vnnn9tXD7RYLBQVFTF9+nTXt1I0SFxSNluScwAwY+CcGsjQ3o1cCMqrPeg9wFLJtF468txCXVZrwWQy8eabWs2HauWevTvwReSbHEg8ikUxYFVVxkWGcPR8sT1gOJRRhP5SLsxdvd14oHspw66SfIXFm1JYuu0kOgVW7EpzWXlsIYS4WjQoWAgODuauu+7Cy8ur3n0sFgtxcXEua5hovKqlnhXg1n4hjb9pKQrM/Ra8g/iLXzjom79uV1xqKc8c6oSOTliBBeN7sWhSJEO6BJBwKp8z+aVsO5aLRVXpQBF/S38CNV1ha+ABbhnc44rHb077t35Bzx8/4E8GT35vnoNO0UnipRDimtOgO8GUKVPo0qWL/esjR44wcODAavsYjUb8/f1d2zrRKKN6BrFiVxpdlDyeMaxhkPdQYHjjD9Q52uVtq4/WfX8UACvaEIMtFyE2KpTYqNBqPSZ5+JOtBhCqFPLO6g1Y3O5vvRtz/FKid7xAtB4+N4/Big6usuERIYRwhQblLFQNFAA+++yzWvuYzWY++OAD17RKOMVW6nn+QIWp+l30zN7c2k1yyJaMeUvxl0zS7cWTyjprO8RGhTKhXwi2CblJ1ggAonRn7FM7W9zpXbDpRQA+M4/l7+Z7AK1XRHoVhBDXmgb3Me/YsYNTp07Rrl07Lly4wLp166ptz8zMrJXXIFpebFQomL3gOOAT4txB0nfD8e84bA7nH1mDQIFZw7u6/CYYn5qPFxW84vYRADdU/JPI8LqHTmYN78qW5BwUIFmNYDyH6Kek83FyDnFJ2S16g45LPM/Ab35NR1TOdZvGZvUJ+up0/H54FxSriU//vZwO0VMkaBBCXDMaHCxERERw+PBhysrKUFWVnJycatt9fHxYsGCByxsoGicuKRvrniNMAmgX7NxBzu2DH//Kacsotpi0Og2uqrVQ1aieQez+Sas0ma/6UoAf0b4ede5r6zVZsuU4SVlaz0I/3Rmgmad11hCXlM26//yLWPcTFKne3HlsIgXkApCRW8Dfi59igi6DqUll8NB9EjAIIa4JjQoWFi5cCMC+ffvslfjE1cPWrf+c4TQYIL2yHY2cC6G5VPWxo3K5p6g5ai3ERoVi7G+Gk3BS1YpBzRpef4tt3/sv/04GoK9yFh3WFi3OtGZvOo8aNgGwyjKRAvzs247lGTls6EGkLoNfGr5lzd4YCRaEENcEp+osHD9+vM7XS0pK2LZtGwkJCRiNxiY1TDSebTZEIFrlxdSy+mevOOSr1VoI5XJhJlfUWtDpdAwePJjBgwfbi3dNDisG4IJXtwaN98dGheLXKZJy1R1vpZIIJZuUrOImtauh4pKy+T45iwRrP86rgXxivrXWPh9Y7gDgNt0e2ptzW6RdQgjR3JyaF5ecnMzevXvx9fWlT58+9gv/yy+/jMVioWvXrmzatIlnnnkGX19flzZY1M82G6KDot08Q8PCnTuQn1bFMdxQyIQewaDoXFJrwWAwcPfdd1d7LfvUYUKBfaXBfLDtJEO6BDj8PnFJ2fx8roQ39TMowocLqi9pLZS3EJ+aj4KOJeZ7+Lt5GmodsfYxtSsJ1n6M1CUzP2AvcEeztqkx4pKyiU/NZ1TPIOnxEEI0ilM9C3l5eSxbtoyPPvqI1157DaPRiMlkIisri4ULF/Lss8/yxBNPsHHjRle3VzhgG9fv61cJQFSvns4d6FLJZ73VyIOD/ega6O2qJtZizdFWmzxu7dygJbFtvScfWCaz1jKWInxabCltL3c91kt/rytQsPnBcwIAvTO/gaqVKluRbYjqo59Oy4qdQohGc6pnoX379rz00kt4e3uTl5fHpk2buO222wDo2lUbcw4JCaFdu3aua6lokNioUOizHcrywdPvivvXyeAB3kFQls9fPtvGCSJcUplQVVVMJq2EtJubG98fPcdY4zlQ4KS1MxauvCS2rfdEh1aXQafQYktpe1w8y3j9QX60DMBUx6+ObYVMz8FTMe/7F4a8FMg8BJ2GNHvb6rN4Uwrbj+Vg0CvVymdL4SghRGM4FSyMHDkSb2/tabNDhw7k5eXZbwJms9m+n3qVPFVdL6p3M4c17WC+naAsn066Ao5ZurrkBmMymXjttdcArdzzT6cKecv0Gt3JIItAJjSg4qSt92TvyUy6VybjVZZJu+EPtMiNb2jRZv7H7V9s0I3m16aF1bbZAgUd8LedWfRyG8Jk/R5OxG+g9/Qhzd62ukx/9yf2n7mcpKrHov1XVdl3+kKLTzkVQrRdTgULer2eDRs2EBoayr59+ygqKuL111/Hy8uLw4cPM3r0aMrKysjIyHB1e0U9bN3MekVxzfoE099n55lSdqzLsD+RuvLpfeuxHNIvlJNsDee40gUV1eFMiKpio0KJ7QK8NRYrCgusN9pfby5xSdn4n9kOOoi31l6cS4VqK2T+3Tydf5in4Xl+ABuarVX1W7wpxR4o9FdO84bbv+ivO0Oe6scayzj+kTGNeauKrrp1LCSvQoirk1PBwu23387atWvZsGED3bt3Z8GCBZw9exar1cqePXv48ssvKSsr48knn3R1e0U97DMh1AJedPsE7x09IOod5w8Y0pebQ+DdduEknMpnZA/XXrwX/ucAVrQpjwM6+7Hwlt6NOn5cuspwtR0BSilnjh9iXkrz3vj2H0/nWeUEAD9aL5c6n9BPW2gLtKmlGw6eI6/EyHFVe80zp6RVnuC3H7tcB+W8GkgXRZuZ0UEpZoHhK2J0icw2Pn9VDUc8+ckBNh7R6m7IglxCXF2cChZ0Oh0zZ85k5syZ9tcCAgIwmUwMHjyY8+fP4+fnh4+Pj8saKhyzjeWH6/K5W7+L8uJTLjmu7WIdn5pf7eum0gF36H6io5LPtnM3AL0b9f74UxcIUMMZrqTQW8kgWe3WrDe+29odx6BYSbWGkaFqxa5sC17ZxEaF4ummZ+m2k/bXKkxW5q3a1+I3vgqzxf73AvyYa3yWc2owg3SpvOb2PkN0p3jXbQll3da2WJvqE5eUzTvfn+DQuaJqr6/Zmy7BghBXCadmQ9RFVVXWrl2Lqqp06tRJAoUWZhvLnxml1Vbw8m/iRTbnGGz5A8fX/1+zZNFbgXv0P/CC26fcoDvZ6NkMo3oGcdyqTQ3trTvnkjoQjqgntwKw81Kvgk7BvuBVVYsmRTI4XFtQrbuSyRK3d/in299Ys/dss7WtpsWbUijIzaSncs7+2j61L5kEscl6Iw8YX6RU9SBGf5Tux/7VYu2qi234rGagAHA4o5BHV+7l0Y/2yuwNIVqZUz0Lx44dY+XKlWRkZGCxVL9g3nfffS5pmGi82KhQqPSCkzhf6tmm6Cz8+Df8vHqjV4a4PIt+/pieRCRoN4DT1lDmNfJGHxsVyrFho+Dg9wzzzmZCZyfXwWiAuKRsemTuAt3lIQirg9Ulb+odzKGMIqwo3K3/CaOq52trWbO1r2ZbP9h5it8Z1jBDv4M/mR9klWVStX2S1QheNj3CH9xW8dXxcp5pkZbVTatdoeV81JRz0ciWS8MpzVFu3FmSVyGuR04FC8uXL6dPnz7MnTuX9u3bu7pNoilKL1UNbGqwcKnWQqA1D4uqVRWwqKrLSis/Nb4bhr35oMLCeyYyxomLbt9Bw+EghFScZtux3Ga7ofyckkasThtL32ftAzheXbLcaEEBzqihnLUG00WXyy1eJ4AxLm1XTban9J7KOe51345OUTlq7cYdA8OYekNnEk7l831yNqfzy/jCejPfVw6lqNKHk58cYNkDQ5u1bfXxctfXGSjU5Z2tJ1r95rx4U4p9mGnFrrRaQ1FCXKucGoYwGo089thj9OnTh+Dg4Gp/RCsrzdP+365D047jp5V8dq8sILqTt72mwdJtJ53uEtbpdERFRREVFUX8z4fRqRYqFQ8qPZ3sFQjuC0CEko1BrWy24kw6L1/urPwzvzE+TiG+V7xBjOoZhAooKPZhi6LEzc3elf7OVi0B83H91+gUle8swznTbiDLHhhKbFQoL98ZxYuTbTM5FIrQhgo3Hslk8aaUZm1bXareeGuKULKo2d9wKKOoVYcj4pKya7V36baTTHnnRxkmEdc8p4KFMWPGkJaWVuv1/fv3N7lBoolc1bPg1R6Lzh2AnMzTgNb13pQbssFgYMaMGQT0H8OK/24D4LQlmHn/3u/UxXbxrkJ+a3qU+4wvYUHXLMWZ4pKyeWf7aY6qPVhnHcMdA8Ou+CRpyx+J6uRnH7a4SXekWatMxiVlcyijiDC0BFeAd82/qDUdNTYqlDsGVq3BoRKr24f/zlda9IZX/car4kP1YZoN7i/zvfuz3KbbU+31lqjUWZ81e9PrfP1QRhHzVu2T3ApxTXMqWHBzc+ODDz7gs88+Y926daxbt47PP/+ctWtbP7P6uueqYEFRKDZovRNVF5RyxQ05PjWfCEW7qJ5RQ+0rWjbW9pRcVltuYY/aDzMGOvi4u7ybOj41Hx2Xn3E3Hsls0A0hNiqUcZEh7LL2x6oq9NGdoyy/+ZIcbWP/DxnicFMsxFuiMHQdXmdgs+yBoXQL0qqrhit5vOu2hPmGb9j94+Zma19NthuvDit/MbzHGvc/4Y7pUiCjokOlpy6Tf7ov4f8M718qKEWLrjBa08mcEofbtyTnSCltcc1yKlg4cuQIXl5e5OXlkZOTQ05ODtnZ2ZSWlrq6faKx7v8MnjkG/e5s+rEuLShVdanqhqwMeSWjegZVCxacnckwrm/14Yu8EqPLL9SjegTysuEj7tN/jyeV6JSGBzblRgvF+HBY7Q6AMWVrs91Isoor0GHhHv0OAD6yTGRIl4B6939xcj8AMtRgNlhHAxBb9EWztK2muKRsdp+6AKi84bacew3biVTO8ucbLrLsgaEsGN+bUZVv8455ClZV4X7DVpa4LcWAhe0pOS1+M45LymbcG9s4nX/lJNWWWqdEiJbmVILj2LFjGT16NG5ubtVe37lzp0saJZpA72a/yTdV+9AIyNtPR0XrWdArSp3TBRvKaDTayz2PnvoKr+y/iwqdD++Ndi4pcdGkSJKOHaNDzo+oKKy3jnN5rYW0k0nMN2zCqOr5wnKzw1kQNdlqX+ywDkKHSgXuzZKkt3hTChuPZBKlnMWHcnJVP763DmWZg3bahiM2Hslkhfl2put/JLr0Byg+b89XaQ62JEyAefpvuEe/A7Oq402/3/LbWQ8B2r/rkC4BrNkbwWt5A1lU/Bq/0CeQp/rzx/MPt2jdiqrtrUqHFR1WzDUuoS21TsmVxCVls2ZPOigwa3hXDp4t5KuD59DrFHqF+DBreNdWTxYVbYtTwUJ0dDSffPIJ7du3Z8qUKYA2nXLo0NbJqBbNZMIf2NltIR81Q8nnsQO7Exvd9CzyhQMtRO9YzilrGGstY13aTR2XlM3h3VvBHZLUCCpxb9D6FTX91TyDv3KpgNmlJD1XXqht1RqT1G7cWLmUXsp5xvbrdMXv0dHPE4Cjanf2WCO5UZdC/Jo3GDVvicvaVpMtCXOocpz/NawG4A/mhxl7+5xq+8VGhV5q/3CW/9PA/Kw/8IhhE0lqBJ9bXB8UXqm9Nj6U8Zn7n+ijy8CAhVzVj93WfnxuGccP1kGAwvqfz7XqjbhmgLMlOafa9tP5ZWxJzmFwuH+jK6eK65dTwxDvvfceubm5XLhweSy7Y8eOfPXVVy5rmHBCRTGsmwffvQBW65X3v5L2Edw8PJpls0cyJ6bbVTPPvaroYaMALXveUzE1abZGTfGp+QzRaUl4B629AIjs2PCVPG35DtoyU5rGDGM0VESHy6u7luDNQbVXg9bZGNXzcuD3oVlbNbbfuXVgqnBp+2xsSZjumHjDbTkGxcqXltEc6Tjd4c/Vhsph/NV0D0nWCA5ZtWXXWyJ34clPDnAoo3qxqBK8Meq9MFzKoQhWirlTv5uP3F/nc/dX6Kuks/FIJk9+cqDZ21fT4k0p3Pz6Vv7n04Z9b1tiZmvkWMQlZfPHr5Mkv6MNcSpY0Ov1LFq0CH9/f/trAQEBdc6QEC2oJBuOfAY//xt0LivOaZ9258pAIePTp/jugz80/WLh25FyvS96RaUbmS4dMx7VM4ghulQADll7olB31UZH77dyOVRoRwVhaq5Lu6njkrLZeCQTTyoB6BbUrsFBXdWZEZutw8hQOxBAMYmbP3RZ+6qylQx/XP81vXTnyVX9+Z1pDgtv7ePwfeP6hvC25W6mGP9kX3OjKcNhDWEb2vGmgpcM/8a3ymyNzzq/AE8dgefS+GTA+6ww30a56s5w3XGeN/wHaPnpqE9+coCl205ytqCccpMVX8oYqhzndt1uhivHHL63vlkezcXW8+HqqrCieTk1DDFo0CCAatUbz549K6tMtjb7TIgm1liwuZgNCcvAYoLb/s81x7wkPG0NejWIsSeGN63HQlGoaN8br7wD9NVlcMzS1WU349jIQEz6M6DCYXo1OhHTNoUy4VQ+4We/5qHs1zkTMJKeUXNc0j64fKFf4baY9koJ6/0WERs1rsHvX/bAUMYt1pL3PjZPYJJ+H1+lVDJgssuaaHcooxCA761DmWDdz2q3qbw1a9wV/+0XTYok4VR+teW2006nAbVX/3SVNXvTaUc5K91fZ7juOJ2UfJ40PQXA+NEjIUBr8wP3zGCx7yB+ET+FJyyf8IbpXvsxlm47yZAuAc3eG2cLGN0wc5fuJ2YYfmCYkoJB0XoXf7AM4mHTb+3736w7zM/WXpTgDWjDFC252Jmtx822QqttqGfNnnQOnyukoNSEl7ueh0Z1k4JXVxGnHz9/+OEH8vLyOHHiBN999x2vvPIKw4YNc2XbRGO5atqkjbkCdi2Bve+Dqrq86/CMNcQlPQHtu2q1DG7wyrKvy+AKCQk7cVMrKVHa0b3PYKeCmtioUEb2COLzdB8MWOhYsI+3vj3qsjaiQgeKGKFLpp8unSJ94yuq9grRijMtt9zJVOMf+TCnt8uf9uKSsu03+6NqN+42/olDfuMbfD4HhwcAoGDlacNaluU+zOsf/Melbaza1rKSYnugUKR684H5dib0C63zZ2DRpEi2/OF+Xvd8mmwC7a/foUtg+feJzdLGquJP5jFFt4sdHk/xlvs/GalLxqBYOa8Gstfah2S1K+56hZ7B7ehAEe+7vUm8x69YZFhtr2/Rkr0LXu56fClhgm4/T+o3cE/W3zjyyQtsOZZDzkUjJquKf+U5lm87Rr+Xv2uVgmGiNqdnQ3zyySccOnSIHTu0qVojRozgwQcfdGnjrlY5OTls3rwZRVFIT09n9uzZdO7cubWb5fpgwbej9n9LJdsPHmPemlPoFcVlywefUUNdkjR5zBpOXyC08ox9HLap7YtLyuabb+IY6Q4HzD3YciyHWTdeOQ+gLvGp+aSoXclXfQlSLhK/4zviIjq45EkuMsyPjif2oFdUDlp70KGL4y79uswa3pUtyTlYqzw7uHrWhnYz0upaAljRMa5vw49vm1mioqO7komnYmLamT/z128H8Mztg1zWToBl3x/j727v2AOFB40vMGbcxCs+5Q4K97cnE96j/4E33f7F7tzN/OObpfzP5OZ7kMoqrmCOYQthygWy1PasMk/ka+tIzqra+V0wvhfHL7V9949byNnWkS6WDBYYvmKWfjtLzNPZmDaRyX/fybi+Ic33NF+SC4nruP/QRyzyTKq2aZ+1D/+wTLN//bHba4QohcRbo9i4YwR3HhrDr+8c3rI5UxXFkHUECs/AxUwouwCqSrIxhM+ViZfXBim7AF7tQVGufMw2zKlgISsrizvuuIMHH3yQ4uJivL29MRicOlSbY7Vaefvtt3n++efx9vZmz549LFmyhDfeeAOltX9YXFXq2cbgAd5BUJZPyvHj6BW3Ji0opdPpwK8jfoXJ6BSVDDXYqdkFNe0tDaEv0FvRhsFsRZ6actw1e9PZYr2JrRVDCFBKm3RM240u3tqfO/UJ3KRPdNnyyylZxczV7QbgW8sIzE6M5cdGhdLBx528EiMAfpQw7sImKOkDPk1foCsuKZstyTn8zW0Z59Ug/mW+k94RXRp1U6o61fN3pjmM0iXRW3cO712vs1j3O5fd4J785ACTspcTazhAperGHOP/NihQgMtBF2iLoxWr3ozQHcN391x+CPuUsUP7u6SNdqrK4s3H2ZiYxSnlEW7RHeB9y2SMXJ7SXrM0+YibJsDoI6xf8x6Dkv9GT10mf3b7kAesW/hj9myWZmptdHnAYDHBu6OhNAfbY9VJaycOqz3IUDtw0nr5YcuXMnyUcrwUI7foD3KL/iDG0vf54dMhfNV3GnfN/CW4ebm2fVUVpsO/p0J+3aXIUy0jWGHqzYpdaegVK0fcf4lJcSfdqy9ePW+i17BY6BwNbp7N075Lwzf24OTEFtj/oZazVl6gnWurBZ5xYQ8mTg5DvPTSS6xZswYAPz+/6yZQAEhMTCQwMBBvb228b8iQIWRmZnL+/PlWbhmu71kA8NXm3Aep+dqCUorzc8kNBgOjJ93NWHUnBiykqyENytq/ks4DbuZB4/PcZ3wJoMnLVdtubgDF+JDehMJRoN3oBof786N1AAAxukSqzpBoSjt/Tj7BCF0yAN9YRzjdxqr/Dv90W8LT1o84+d3SJrcRtMBriHKSqfpdPK7/mmClyGHBqPrYKk8W4svzpkcBmK//hvjtG10ybBKXlI130moeN/wXgGdNj/Gz2rvBbbXlqHQL8maf2pdZxpfJVf2J0p2h78YZUHCmyW0EwFxJ+scL+eyNx/jnD9oN7ZjalWWWux0GCnY6HT6D72aS8XV+Z3qYQrUd/XRn+dDtDYIoct2QRFbi5Rub3g2GzuakoTe/Nz3M8IplTDC+yTOmJ/mreSZfWWPsb7uIN9GV/2Ri5ev81XQPx6xdcFcsxOr3c9eJFzn3n4WuaR/AhVOQ8E/tj41fZ+2mC+TqgtlhGcjn5jH8yzyZd82/4GvLaPuuHdV8PDDiz0UGlu+lV+LfYOUd8Jcu8MFE2P9R09pnLINzB+Dnj+G75+GjX8DinnDmp8v7lGTBsf9Cxl4twCk8A8Wuzx906i4/bdo0zGZzrdfXr1/P1KlTm9yoq1lqaiqBgZfHJd3d3QkJCSEnJ6fOoYjy8vJqX7u5udUqZuUyzREs+IVB9hH2HTmKQihWFe4YGOb0U3FsVCilHhfABCOjo13ydH3L4J7sz5rKj/UsStRYdS2b3NQekIW39OaVf2vBwhAllfuHNH211jV707lNvxe9onLI2oO+fQc43cZFkyL55nAmp/NLWW0Zz2h9EoHJH4PlJe1C7yRb4PWJm/Zw8YXlZlLVzvzWyaDmxcn9mLdqH1us0ayz3Mx0/U7edPsna06MbfLP0jtbT6Baw8lWA1htuYWvraMb3aMUGxVKfGo+K3alkaxGcI/x93zs9hpdzOeoWD4BzzkbILQJiZkFZyhadT9dCxLprCosVUdwho7VdmlI/YT41HwsGFhlmcRXltE8bVhLAb7k4w8lRp785ADL7h3Y+H97VYXTO2HnW3BqOzy4DnpNACD259GcKHFci8f2e9ctyIfj+V04bunCPyzT6K1kcLf+R6bof+JPaZHcY0vIzD6q3UgHzYSwIVceCqi8CBn74EQcnNh0uffANwxGPKa9X6fn/zr8hbXHLVzA8VTpcwQTVfkhfZQMonXHGaZL4UZdCiGWQji7G3qMu7xzwRnY+CwE9oT2EdrQhac/6Axaflhofwjsoe17Ygt8uwgupFHnAu7ZR6HbpQCr6yiY/BYHCz1Zsa+QzBILFkVH+p/jmDW8q8t6iZwKFrKzszly5AiHDh0iJETrprRarRw7duyaDxaKiorw8qreBebp6VlvqesFCxZU+3r69OnMmDGjeRo3/QO4fbFru78uLVUdplyotT6CMxfn7w+f5laTVp/jrb0VdOrnmizscqPFXjjK2WESm1E9g0j8aSPPuK1li2Uo71smN7kHJDYqlIPjRnMuIZTOZNM+dy/Q0+njXb4Ja0MQ31hGNKoGRF16BbfjdH4p31pHkKt+TLAlD459A/3vdvqY8an53KQ7Qoz+KJWqgSXm6U0KvGKjQlkwvhdLt53kFdNsRuuO0kOXxYi0d4AVTrcT4FReKRfVntxe+RcKLq3I6UyPkm3YCeCM2pHpxj+wyv0v9C0/i+mD23D7n/3g40RAf3wTfDEf/4pCClQfnjE9wRn1cqDgrleYN6Zng24OVdtYiC+/Nz9SbXtW4g9ceG0WgZP/AAOmX/maYiqHpK9gz3I4d6kglKLXehd6TWD6uz9xIs9x/Y7B4f4M6xZoP99VC0udUMNZbL6XN81acbNNtryks//RZmwlLAPvDhA2GDr01h6Y3Lxh+C+14VSAL+bDkc9BrVKDRmfQbrZ9JoHFCAYPFm9KYfnxy7VLrqQSd46oPThi6cFKy22ASoSSTbRynII9nbk/9NI1Lu84nHCw/srtb2gBC4B7O63XA7Sh4JAo6DhQCyhC+9tX3F28KYVVP52m1BiGVQWo8hBSYrQv1uaKgMGpYCE3N5c+ffrQoUMH+zi9xWKpdRO9FpnNZkwmU7XXDAaDfViipqVLl1Y7L83WqwDaU4CvixOALpX+DeHytDVbYaHGXvCNRiM/bviY7fyGg5WBlCq+LqvENykggyD9p6RYu/CVNaZJRXtio0LpHl1Cr8RkdL6hjJjc9GRO2yqLhfrJ6LGwaYuJP3dyPlCy1Sz40HIbefiz0TqCSU2sPTDrxq5sOZaDCQP/sdzCrw3rOfvdEro0IVgY1SOQu/ZqvQr/sdzKOYL5QxMDr0WTIvnxRC6HMuC3pnm867aEbbm+WJyd/ldRzP/95zsuVmg3CNvTpLMVDmOjQpnQL8Q+lJVDe2YZX2aF+2LOeo/m7sYGCqZy2PpniH8HgIPWnjxp/DXnqZ6bNKZPcINvCrYhkzV702tVeASYZ/iGQHMObHgSNr0A/X6hPSUH99UeINpdCqCsFlj/uBbIVF4qYGXwhBsegtG/gvYR1WbCVOXvZaCo3GwP8mue6/dmD+OdrSeqFcZSq4ycv7j+MLH3ToDic5DyLZTlQer32h+bwfdeDha8ArVAwS8ceoyF3hOh53jt6R7txvvVwXOcK6zeG9x4CmfUjlogVwDbVu3Dz9PAk0M9efzOv2lBQGG6lkBZWaydQ4NH9VyzsEEwe4MWJNSRN/TkJwfYlJiJpY5Oh5q2p+S0XrAwYcIEBg8eXCtXoXv37k1u0NXO39+fwsLCaq9VVFTg51f3U52Xl1e9gUSbMOyXMOR+zscXww9n0Ck0an2EWqwWDAocJ8Kl5aP98w+ywPAV31mG85U1pslz3HuZtOlaN940EVwQzNhu7p9YJthfa0qSY1ax9pS2xRrNFms00LQ8DbicW3Eoo4j/mG9lgX4DXS7+TPxPPzBq9FinjnnqxzXE6k5Rqnqw1Hx3k4awqgr21W4AP1gHc1Pl37mAH+7OBJ5WC7kfzebp87s4rVvAZutwADr4uLNh4U1Ot69qsiNAET7cZ3wJY5aBdragpuCMdiNwlKynqrByMpzbD8AXhsn8tmRmtdyEqt+zMWwltRdvSqmyXLjmKdMCDlm/40HDFsIr8rRCbz//W9voEwrPHtf+rtND7jEtUAjoqgUJ0XOq3eBqlswG6Bncju9/M464pGwSTuUzskdQrX87W/vikrJ5cf1hci4aq23PuWjkxtUKr059ndi7/wk5RyHzkHYjLskFczkoVdLyRv8KYn5da+2cuKRsXv1vEqcvOF4oLMTXgzB/rYcl2NeTWcO1AmHzVu2rNWxZU3GFmb/8VMLf3Tox96YYFs28ws3bvV21IQxbG88VlmO2qg6/V03jIpuepAxOBgu7du0iOjq62muFhYVUVDRPmdirSWhoKImJl+dOW61WysrK6Nq16Yl6V6VLT0G/uR0GRQTX+4vdWGP6BDNzRHeXTYWqOSMCnL8Zxx3NYlRqgtYR3dk1U96qdvva5F6sdOpYtiI8VbliVglcvglnE8h31uHcqd+N+4EPwIlgIe5oFjHnVoAOVlhuJw9/zuS7ZmXaqjdjW09AZlFF46axqSp8+xzBmduowI1s9XIXriuGnWzDJTa2G/yr3yQR26c9fHqf9jQ84jHod5c2lq3TwcUs8PDVbhiKAsPmQvF51nVexG8Odqz1vZq6xoNt4a4lW45z9HwxoHWt/9NyF8std/JgyGn+2D9LS6orPAPWGvlqE/6gBTxdRtaqHHvrW9tJza3+b24LFGzn6Urt1vJAOvPhrrRaN8mci5XMW7WPOwaGseyBaG0WQn38tZyyuKRs3vn+BOeKyikzmikzOi6N38HH3eHYv63w2sgeQaz/+Vyt382qyk0Wlm47yef7zjIo3L/eBb1sbTyec5FKs/XSEEPDGXQKAd5urZOzUFxcjE6no127duTm5tbaXl5ezscff8yYMWNc0rCr1bBhw/joo4/Izc0lODiYY8eOMWTIENzd3Vu7ac2uIb/Yjmw9dvlJq/j4Thjhup6oiL5D4QR0U7LwwEgl7k5VpotLyuYP//6OXZ4XMKl63kn05GkXxIFVbx6dyGOM/jAnz3UiLqnxF/n41Hw6UMxDhk1stIwgRe3qklklUP0mvMo8kUm6fbgrzq0zEn/qAt8af8Pjhq9YbtaWTHfVU07Nrn6A04nxVJ6dhUfM43DzbxwfQFXh+1dg7/tYVYVnTY9zSNXW/4iOaO+SC6ztGDWf2k/nl/HB11v5ZWWxNt3t+z9qf/Tu2ji/uRwmvwXDtRkfDHmArbpRPP9ZCjWfX+ud8dBItp/BmitsWtGxKqcHeaExLJv/qvaiWuPO1evWWseLS8rm2c8OUlRROxHemZ+BuoLtqjYeyWTc4u28OLmfw9+nunpRHNGCEMdJmVWvi/X11NSUc7GSLck5bEnOwV1/aSj/Ur6VVVUxN/JXTgE83XT0CfVttsXBGhws7Ny5k48//tj+9X333Vdrn5tvvtk1rbqKeXt78/TTT7Nq1SrCw8Mxm83Mnj27tZvVfMxG2PaqVpTkrrcvj/85Yd3+s4Rf+nsfXQZr9p512Q/1mKEDKf3Gh3bWEnoomSSrEU7VRtAWj9LWgzimduHvOzIY0K2jS9ppG2u/PetTHjd8zWfmsbz6zdBGH3tUzyDKE/bya8N6btH9zHcxn7nsPFa9Ce9R+zK68m0G+/ThfSeOdSijkEyC7MlzrroJ29Ts6o/WHcejIufSjdcDRtczxc5i1jLN92kJkS+a5/Jf6yj7ZmemddZn0aRI0vJKaz1t/mm3hcKxq/lNx4Na0t3pXVqCHWhd5xn77MHC4s3H67z5dAvydun5tOUx1MwTAO1mPP3dn1j3xGiHvTa2hLuLlbWDBBtnhsuqlk5fu/8sReW1j386v5R5q/bRLcibXiE+RHb0o9xosRdPao5AoS62npq6zmNdjFUSDyyNGmBoXFJrUzU4WJg0aRLR0dHodDo+//xzZs6cWW27l5cXPj4+Lm/g1WjAgAEMGDCgtZvRMvRukPAuWCrZGT6fbdnelyuXNVaV34MMtQP6Rv5iOKQoGAP70C7vAL2VcySrEU5nsqft1oIF20qTrgxqgn09+PH8AB7na2L0iTyXX8riTSmN/mWf5b0fTHCh22SXXygiO/pdugkr5BLAluScRrfxhZWb2H+m+gXdlTdhqJ5jAfBvy0TClAs8afgKNr8IOUkw8c/gfXmqM6YKWHUXnN2NisLvTbP51FL9ydiVC32Bbf2N7ZyuMQTz9g9nGDQ7ltjZD2oBzMXz2lN7uw7aEASXE2Pr8uJk16+NYXtKnvLOj7VudPvPFGhTKuu4gTZk3N/fy8CbM4Y0aSaMrXx6zR6Qqk7nl9mX4QZYsSvtijkFVbli6e6q+RYJp/I5eLawziRPZzTHEEODvm+DdzQY6NhRGy975JFH2nbSnmg4RdESggpO8/f1P/Az/Zwu99w71Jfys9rfM9RgnnNR17lN+4hBkHeAm/xz+Vnx5q7BnZz6hbeio0D14ZBqm9rouqBm1vCu/Cq5D5Wqgc5KPt2VLLan+Df4lz4uKZvnVm1lr8dhUODlE7142cWLAJUba8+q2Lx9OxOV3QyeeOVetB37DvFi2kPEuA3mOdNjlKIl8Ln6Jgxa/YqqN443zLNQvAN5wvgRHPwEjn4JvWPh1t9BUE9tCmCHPpCdxF88/odVudWrKg4O92+WLlxbfYianv/iMDBI+54BtX8f6iuQ5KpE0frUPK82G49k0ufFb+kX5kvn9t6cySvF011/xRth1TyFpnLUA1Kfhv4Gu2pYx6bqEEVjezZsdAp4GJp3iKEhnEpw3L9/P8XFxUyePJmNGzeyYcMGunbtyoIFCwgICHBxE0Wr8+0EBafppCtkn8W5OgZxSdms2XmIX3lq0YLPTXe5/of+0txj75LTnDeXOzUjIj41n5Xm+/iL+V70aAOHrsoHAO3iccvAbuw/1ofR+iRu1h3GN7Lhw3fxqflM0u/HoFhJtHYjXQ112fRTm5rjw0OV46x1f4WKeC8YfdsVS0B7bXuJdkolIUohZWjDVs11c6tZqhoUXi+eiH/0aO7P/buWIZ/0JQydrQULAJNe5Z/KDP71U0mt4y28pbfL22hrZ80cC4C8EiPzVu2r8yb15CcH6pzW6Gz3eGPbWzNB08ZosXIoo6jBN+rmaK+jmRwNFR3RniFdAvB001NhsrgkcdsR2/DEmr3pnMwpIb/UiNmiXWMsVtWeswBacNM5wPuKORgtyalg4cCBA8yfPx+j0cjq1at56KGH6NOnDxs2bODhhx92dRtFa7s01SiYfPuc6MY+Ja7Zk05nJZ85fE62GsCLeY+5vp0DZ/CPjF78Y3+l08WZvNy1EEFBwYKeBeN7ufyXdeoNnfkhaTCj9UnE6vaT0Ij3juoZhMce7R0bLSMAmlRToi41bxQ/q704qkYwUD0N3z4HM1bW/+bDnzO8dAcWVeF3pkdQ0dEtyLtZb26zhnetdcN4Yb8PwQ99QazvaUhPAP9w+7a4UxX8pY5AoTn+rWu2s66bP3ApQz4dDzc9AzsHsC8tn5wSY639ugR6NXugYGO7uf3ms4MU15GoeCUdfNx5bdqgFrkBv/pNEqfzHU99rMrVPQgN1dQk8dbk1NoQoaGheHl5kZycjF6vZ/z48URERGgLBYlrz6UqjrP7uzO+r7b4U2PlllTSRdFm0ZxVQ3DF2gi1tOtAv6hBmFXFqaAmLimb5duOoUOL7JvrghKfmm+fzz9Kl8TH2w42eG2DE6knGa3TFojZaL0RBahoYjGmuiyaFMmC8VrOhoqO35rmY0UPR9fD4c/qflNuCpUbfg3AP8zTSFYjgOYZW6/Z1m5BtSvuvboxGbqOhJueguDL/451zfsfHN7woSBn2YKw+uRcNHL2Qjkbj2TWGSgA3DW4ZVe3jY0K5a2ZQ5x6b3MHCjaxUaFsXzSeBeN70SXQixDf6jPT3PUKeh14uekYHO7Pe7OHtUqg0NY51bNQUlJCSkoK33zzDQMHDrQXZ8rKynJp48RV4lIVR4/ybLacyEGvKGxJzmlw3kJcUjaHMooYrtcKE2kLSHVplqZWrUzXWPGp+bzqtoIY3REWm++jwtQ8Rca0bv6OJFu70ks5x2BdKmv29rjiuVy8KYWf43/kfjcvTlnDOK1qQVxz5AJA9al/R9VuvG2+i18b1sOGhVoA2b3K8El+Knw8HQ9LKXuskbxjubtZ2lSfunICTueXMW7xdiYPCrNnxa//+Vyd3efNNfxQU33TKRuiJQKauth+p179Jon0/DIczeoL8fVgUHgAs4Z3afEn6EWTIu3nx1GxJ+Ecp4KF2267jQ8//BCLxcLcuXPJzs7m66+/xsPD+Wl14ip2qWfBWHDOqfUX4lO14YuVlkmUuXXCzV3hxV5NX0ipTkfWMnD3Wj471Y846zC2JOc0uIfAy13PYOUknZV8SlQPJjfTTdiWxf/0uSc5rwZSjA/dcmp3i1d1OSt+ADdWLiNEKQSav+s8JbPY/ve/m6czxC2DsZa92hK+U97RyumCFkAUnSXVGsZjxqexoA2NuGK58Iaob4z9dH6p/bX65uk3V1JjfZwNGFoqoKlL1ez+qkFZRz8PzJcqBrV0dr4jbbm7/2rlVLAQHh7Oyy+/XO21Rx991CUNEleh3rHwVCLHMxQsHx8CtAIi+05faFDRI1vCnIeiw0Ox4PDRpKnO7adjxreM0qnEWbXqiw1JdIxLymbVtsP8xuMcAIGRMS2QbX75Cfd0fpnD6Ym2ctGgVQLMUINb5kmzymiRFR3zyxfwof8HjK7cqa3gd8nn7WbR25rNPOMzFFRZqa+py4U3RtWVMxujNW7CjRlrn9AvtFWe1OtStd6BPLVfXyTJQFyZhy8EdEHVVa9HfyijiHmr9l1xvN12gXlgZERztlITNhiA/rrT1V5OOJVfx86Xxafmc4MuFZ2icsYawmfJFQ3OI3BGbFQoXQIvrwnQjnK2p9Sd/AZawNVbyUCpEmm1xE2u5kyQSty5v+hxvur9qn3pYYB/nOnKdOMfyK2y6t2EfqFOTbFtihcn92vU/s3dM+OIbaz9vdnDmNAvhMHh/nQL8qaDjzvdgrzt5+/9h1v2HF5JbFQoL98ZdVW1STQ/p3oWxPUpPjW/VnGThnYzx/btwNifn+Y1mvlJuOMgAPorp1Gw2lepyyxyvG7JqJ5BtEvQEt9+Vns5vbJmY9w1uDNx27fxF7f3MGBhU+SaevdNTktng/vLZKqB3Gt8mZnjW+YGEhsVSnRE+xrz6BX+50h3/nr+NP5eWk/M2QvlQPVZGa3xNFzfFMWa3PQKyx6IvipueNJlLtoC6VkQDbPjTR7Ne42uSvUk1oZ2M+/cfxhObGqmxlXRoQ8WvQc+SgURyuWegY1HMlm8KcXhW4fqLgUL1t5NW1mzgRZNiuSumBsYqDvNIF0aiwbWvTTu4k0plPz0Ad5KJUbcyFf8m2UGRH3WPTGaEN/a+Uin88vqnW9vC7ZaQ0PqYswf01Nu0EI0gkuDhY0bN7rycOJqkvQlnc58xZIJPgwO96eDj7t9GtKVLrpxSdm888X3DvdxGb2BLA+t+M4A5XS1TY66+dfsPsMNOi3h7IC1d4slvS28cwQHfbTF1zYt/99aAU1cUjYfbktknkH73VphuQ2rqrRYHoDNq1MHNmr/lgi26mMb9vrlTd2JjqieSNvBx73V5tgL0ZY1aBhiyZIlXLx40eE+FouFc+fOcccdd7ikYeIq4xsGWUfwKMvmUIYPOrTqcwfPFl7xphqfmk9XneNuYVeyhg2G1CQG6E5XWyAooo65+DbuVLLechMDdWkcU7sy1tezJZrKk58cIDV/Ips8thKr7ubN7dtJyyu1F955Z+sJ5uq/JVgp4rQ1lPWWm1qkXTU5quhXl9bMBYDqXfsyjU6IpmtQsGC1Whk+fDheXl717mOxWNi1a5fLGiauMpdqLeSeT0NHT3uaXUNmGni56/FXclEAD2sZJt9wFAcr1zVVl34jsKatJbI9hFS4k3PRiII2FFFz9kZcUjbxqfl07xTCKykP23MymqsORE0Jp/K5oHblW8twbtfv5c9uK7j3SCdufasYH3cDF88ns9D9SwD+ar4HMwanKlO6Qn0rKFbVElX7GktyAoRougYFC7fffjv9+l05y9i20JS4Bl0ql9vLo7DazMeGJAKWGy30VHJww4zOXAh9H8bNza3e/Zts8L1s9ZjAo58cRkGrhKeijblVbattzrgtQFgwvleL1IivamSPIDYeyeRV84OM0R1mhO4YzxnW8HrufXhTwVfuf8VTMbHDMpCvrKPRKThVbttVlj0wlMWbUvjopzRKKmvnTVxtgYIQwjUalLPQkEABoLy87gQtcQ0I0KY9dibXXrJWpzRsbHpUzyDCL5V6TleDm/9G5+bFT6cvoleUajM3rFSfFWEr+6sCw5Rj7Dme0eJTwpY9MJQ7BoaRo4TwO9MjAPig/R6V4UGaGsZ5NZBFpscABava+l38iyZF8rdZN9R6vbXbJYRoPk5NnczJyeHbb78lKysLo/HSk5uqcv78eaKjo13aQHGV8L/ULV+YzqI5l1dPa4jYqFBK/Y1wER66YywjWuCGYisEpaCiVqksZJsVMaRLgD2LvyP5rPX4I2V5HvxtYxxP3zG42dtX1bIHhl7q5VCxGhU2XVo3AhSeM80jQCklm0AA9IrSojMh6lO9rLZy1RQNEkI0D6eChSVLlhAQEEBAQABBQUEEBweTkJDAtGnTXN0+cbUIuDQd7WIWWC0cPFvIluQcdApXXCciLimb+N6fEBNm5ciu74nfd5QFCxY061BErP5nDnf8E0fMXXkgr/pKqEu3nWRCvxB0aL0No3RJABxXO/P3HRkM6NaxxW98tpLY663Vl6suwI8C9XJFxNYcgqhJcgGEuH44NXWypKSEZ599lilTpuDj48PYsWOZN28eJpPJ1e0TVwvfMHjqCLxwnrhjefaseKvqeE69LS/go/gzPLYujaKiIoqKilBVtc79XUZvwK8wmRi3lFor/ekudTRoS1HDSF0yAAnW/vYiUy1tVM8gLKpa51qcSpX/T+gXIjdoIUSLcypYiIqKQqfT0bFjR5KTk6msrATg66+/dmnjxFVEp9N6F/QG4lPzq/3gOMpbiE/Ntyfl6ZpvAkRt4TeCooOC0ywa7c8dA8Psm6wqFJSZmNA3hEGd/YjRJwKQYO2HCni66es5aPOxdevfemn5b9v5jY5oryVnKrZZGlcuOCSEEK7m1DDEhAkTeO+995g3bx4DBgzg0UcfRVVVevbs6er2iauQLR/A1o3vKLHNy13PdN12Jun28rVlFNAy9Qvw9IOOAyHzEN9s+JSNiX2qbbaVL+6jnCXcI48K1Y0Eq5bI21o5AVVX9ks4lY+nm56l205q5/kqSGwUQly/nAoWevXqRa9eWtdubGws3bp148KFCwwe3LKJYaKFJX0FyV8R2/NW3pt9S4MK3ZQbLQxTjjNB/zNHrD0ppgWfjHvFQuYhLCmbgD517jJBdwCAn6z9qUAradzaOQG2oOGPXydVWxL8akhsFEJcn1xS7rl3796MGDGCzZs3N/9YtGg9Oclw5HNI/4nYqFBG9ggiPjXf4eqMXu56InTa9tNqSEu1VNN7IgBjdIfRU/eN9hb9zwAc8BzRKqskOmLLY7AFDK0dxAghrl9O9SycO3eO1atXk5GRgcWiXYStViuFhYXcddddLm2guIoEXJ4+aUtc1CsKK3al1XmTjUvKZum2kzzooQUL0UOGkpac1HLtDR+G0T2AAGMh0coJ9qh9a+3yv6Z53Ko7wE13PsCzw66unjFbHoOUKhZCtDangoWlS5fSrl077rnnHtq3b3/lN4hrg73Wwln7VD/bk29dVRzjU/PxVioJUy4AkG0IIzhYK87UnOWe7XR63AdN53xuHkEFoSg51ZfXBkhVO5Nq6cxw76uz+qhMTxRCXA2cChYKCgr44x//iMHg1NtFW2WrtVB0llE92rNiV5o9YDiTX1pr3YWs4grC0RaQKlK9wbsDTz75ZMu2+c6/0gmYlpTNt6v2VdmgYpuU2FprLQghRFvhVM7CsGHDyMmpvYpgcnJykxskrmJ+nbTpiBYjsV3gvdnDGN83GICtyTnMW7XPvsTy4k0pbDySSTclC4DTakcqzNZ6D93cbF36g8P9AZio28d/3P7MSF2S5AMIIcQVONU10L17dz766CNGjhyJXq/NSbdarfz444+89NJLLm2guIro3bShiMIzcOEUsVEx9pLPVVehrPp/H8q5qHqRroa07g05N4XYtPeInf8Kb32fxtQ9/0sP9SwFgUP45aTZ0qsghBAOOBUsbN26lbKyMnbs2GEfe7ZYLJw/f96ljRNXoaCeUJQBJVnEJWWzJbl6D5MCfLrn8poRX1jH8EXlzdzdvz2LeweybNkyAObNm9e8K09WZTHDx9Oh6CwUpvNguUKoepZ81Y8Xs8eyuGVaIYQQbZZTwcLIkSOZMGECnp7VC+x8++23LmmUuIpNe18reKR3I75KHQAbFbhQaqzxJoUSqweqqpKbqyU4tugUW70Bpv4TVk2BE5sIBcyqjkWm+VxU/CRfQQghrsCpnIXi4uJagQLAzTffzLZt20hISLCvRimuMe2CtOEIqtcBuLJWrr/R7SaY8w1E3kFu2DgeMj3PD2q05CsIIUQDONWzkJyczN69e/H19aVPnz7odFrM8bvf/Q6z2UzXrl3ZtGkTzzzzDL6+vi5tsLh6VF2muOZwBEAIBfzH/VWOqV3wGLaqFVpYQ9eR0HUkwcDcpGyipH6BEEI0iFPBQl5eHsuWLaNjx474+PiwaNEiFEUhMzOTV155hT59+pCTk8PGjRuZNWuWq9ssWlNFMWxcBIXp2pM6kJJ1sdZuHXzceba3Sq/k84T5etCuf8erqrdJ6hcIIUTDORUstG/fnpdeeglvb2/y8vLYtGkTt912GwBdu2pz8UNCQmjXrp3rWiquDm7ekLgOrCZ27j/IvHWZde6WV2Lk6OG94AbtOkW1cCOFEEK4klM5CyNHjsTb2xuADh06kJeXh8lkAsBsNtv3k3UirkF6AwR2B+DM8cM4ylborWQAkKaEt0DDhBBCNBenehb0ej0bNmwgNDSUffv2UVRUxOuvv46XlxeHDx9m9OjRlJWVkZGR4er2iqtBUC/IO84wnzxUguvdrbfuHACHKkPpjlbi2d9fK4rUIuWehRBCuIRTwcLtt9/O2rVr2bBhA927d2fBggWcPXsWq9XKnj17+PLLLykrK2v50r6iZYT0g5SN9NWdZUK/sXUmNypY6aecASC09zAA3NzceOqpp1qypUIIIVzAqWBBp9Mxc+ZMZs6caX8tICAAi8XC4MGDOX/+PH5+fvj4+LisoeIqEtpf+3/2UWaN7sqW5Jxa9Ra6KLn4KeWYFXdGjRjdSg0VQgjhCi5dCerLL79k+vTpdOrUyZWHFVeb0AHa/7OTiO0bXG0ZZYA1e9OJqCyiuLw/fj4+9roMQggh2qYGBwsVFRU8/fTTPPfccxw4cIAffvih2naLxUJxcTHTp093eSPFVSawpzYrwrcjlOXVmoao/X04cD9U6W0wmUysXLkSgDlz5rRcuWchhBBN0uBgwdPTk8cff5zOnTuTn5/PoEGDGDVqVLW1IeLi4pqlkRkZGXzwwQekpaXh6+vL5MmT7VM1VVVl06ZNlJeXk56eTlhYGDNmzEBRFKxWKxs2bMBqtXL69GkGDhzIxIkTATAajaxfvx6dTkdaWhrjxo3jxhtvBKCkpIQNGzag1+tJS0tj2rRpREZGApCTk8PmzZtRFIX09HRmz55N586dm+VzX7X0BnguDdxqV/GspUoio6qq9vVDZKaMEEK0HY0ahhg8eDAAAwYMoGvXroSEhFTb3lw5CitXrmTMmDE89NBDbN++nZUrVxIeHs6AAQPYuXMnFRUVTJ06FYvFwosvvkhERAQjRoxg/fr1dOzYkZiYGMrLy3nmmWfo2bMnPXv2ZMWKFdxyyy306dOH/Px8nn32Wfr06UNAQAD/+Mc/mD9/Ph06dCAtLY1XX32Vd999F71ez9tvv83zzz+Pt7c3e/bsYcmSJbzxxhvXX3a/o0BBVcFUBu5SZ0MIIa4FDa6zcObMGX766ScyMzPx9PQkODiYt99+m0ceeYQXX3yRI0eO0L1792ZpZJ8+fRg/fjw9evRgzpw5dOjQgZSUFAC2bNlCdHQ0oE3pjI6OJj4+HqvVyrZt27jhhhsA8PLyYuDAgSQkJFBWVkZiYiK9e/cGICgoiG7durFnzx4yMzMpLS2lQ4cOgLYct6enJ4mJiSQmJhIYGGivMTFkyBAyMzOv79U2rdbar+WmwF+6wso7qw1DCCGEaJsaHCx89tlnlJaW2seZ9+7dS0JCAr/85S959NFH+eGHHzh58mSzNLLqrAudToder6dTp06oqkpqaipBQZcXAurcuTO5ubkUFhZSXl5uv7FX3Xb27Fl8fHyq9QbYtqWmphIYGFjt+9e3zd3dnZCQEHJyak8dtCkvL6esrMz+x1a8qs0ru6AFA2/2BkuNz5QeD9ZLxbmutx4XIYS4BjUqwTE2Ntb+dUpKCjfeeCM33XQTAI8//jgfffQRvXr1cn0rq8jMzERVVQYPHkxpaSkWiwUPDw/7dk9PT0pLSykqKqr2uqu2eXl51bmtPgsWLKj29fTp05kxY0ajPvNVyTMAso5ARaH2/85DL29Lj9f+33VUa7RMCCGEizU4WAgNrb7ozvHjxxk16vLNwGAwYK2rS9qFrFYrH3/8Mc888wze3t4UFhYCWpa9Xq+3t8Pb2xuz2VzrKb6p2/Lz8+vdVp+lS5dWCzCumRkAOp22iuPx7+DMrsvBgtUKqVu1v3e7qfXaJ4QQwmUaHCxYrVYqKirw9PSksLCQkydP8uCDD1bbJy0trdEN+OMf/0hxcXG92++55x5GjhwJaHUcxo4dS7du3QDw9fVFURTKy8vx9NQS7ioqKvDz88Pf35+KigpUVbUPN1TdVl5eXu37VFRUEBgYiJ+fX53bbO+zBSg1t9XHy8vLYTDRpvUYpwULKd/C6F9pr53bD6W54OEPEbWLMV2z50IIIa5hDQ4WJk2axJ/+9Cf69etHUlISHTp0oGfPnoAWSBw6dMipGQG/+93vGrRffHw8QUFB9umNoCU0BgcHk5GRQfv27QHIzc0lMjKSgIAAFEUhOzubjh07VtsWGhpKbm4uRqMRd3d3+7ZRo0ZhtVprrWmRn59P7969MZlMJCYm2l+3Wq2UlZXZV9q87vSdDN/9Vht2KMkFn2BI+lLb1uvWWsWY3N3dWbRoUcu3UwghRJM0OMGxe/fu/OpXv8LDw4O+ffvy/PPPYzBoscbhw4c5ffo099xzT7M08siRI+zdu5cOHTpw9OhR+x+r1UpMTAy7d+8GtLn7iYmJjB49Gnd3d2688Ub7NrPZzKlTp4iOjrYHOvv27QO0ugrFxcX07t2byMhIFEXhxIkTgFZXISAggA4dOjBs2DAyMjLIzc0F4NixYwwZMsQecFx3ArpCpxtAtcLBj8FcCYc+1bYNvAbyMoQQQgCgqFd5dZycnByee+45Kioqam375JNPsFgsrFy5EoPBgJeXF3379rVPlywpKeHDDz/Ez88PnU5HTEwMPXr0ACAvL49Vq1YREhKCxWLh9ttvt9eNOHPmDGvXriUsLAyz2cy0adPsNSQSExPZtGkT4eHhmM1mZsyYUWewUFZWxty5c1mxYsW13fX+8yew4UloFwK/PgSntsPud+HB9VrxJiGEEG3eVR8stFXXTbBgNsKquyDmKYi8zeGuJpOJTz75BIAHHnjg2kn2FEKIa5w8+ommMbjDI982qJ6CqqqcOXPG/nchhBBtQ4NzFoSolxReEkKIa5oEC0IIIYRwSIIFIYQQQjgkwYIQQgghHJJgQQghhBAOyWwI0aJkuqQQQrQ9EiyIFuPu7s4LL7zQ2s0QQgjRSDIMIYQQQgiHJFgQQgghhEMyDCFajNls5rPPPgNg5syZ9oXIhBBCXN3kai1ajNVqta/mabVaW7k1QgghGkqGIYQQQgjhkAQLQgghhHBIggUhhBBCOCTBghBCCCEckmBBCCGEEA5JsCCEEEIIh2TqpGgx7u7u/P73v2/tZgghhGgkRVVVtbUbcS1SVZXy8nK8vLxQFKW1myOEEEI4TYIFIYQQQjgkOQtCCCGEcEiCBSGEEEI4JMGCEEIIIRySYEEIIYQQDkmwIIQQQgiHJFgQQgghhEMSLAghhBDCIQkWhBBCCOGQBAtCCCGEcEiCBSGEEEI4JMGCEEIIIRySYEEIIYQQDkmwIIQQQgiHJFgQQgghhEMSLAghhBDCIQkWhBBCCOGQBAtCCCGEcEiCBSGEEEI4JMGCEEIIIRySYEEIIYQQDkmwcI0wmUx8/vnnmEym1m5Kq7nez8H1/vlBzgHIObjePz80zzmQYOEaYTKZWLdu3XX/C3I9n4Pr/fODnAOQc3C9f35onnMgwYIQQgghHJJgQQghhBAOGVq7AcI1VFUFoLy8vJVb0npsn/16PQfX++cHOQcg5+B6//xw+bPb7guuoKiuPJpoNcXFxcyfP7+1myGEEOIqsXz5cvz8/FxyLAkWrhGqql7XkbQQQojqvLy8UBTFJceSYEEIIYQQDkmCoxBCCCEckmBBCCGEEA5JsCBEG2M2m9m+fTslJSWt3ZRWI+dAiJYlUyevATk5OWzevBlFUUhPT2f27Nl07ty5tZvVrBYuXEheXl6119577z3Ky8uv2XNhNBrZvHkzhw4d4siRI/zjH//Ax8cHgLS0NOLj4zGZTOTk5DBv3jwCAgIAOHToECkpKZSUlFBcXMxjjz2Gl5dXK34S5zk6B/fee2+1fT09PVm5ciXg+Py0JVarlS+//JKtW7dSWlpKZGQkc+fOJSQkxOF14Hr4/PVdE3x9fa+pa6TVauWrr74iLi6OkpIS+vbty/z58wkKCmre64Aq2jSLxaK+9NJLamlpqaqqqrp792712WefVa1Wayu3rHktXrxYTUxMrPbHaDRe0+eitLRU3b9/v2qxWNRZs2ap2dnZ9td/97vfqSaTSVVVVf3vf/+rvv7666qqqmpmZqb6xhtv2M/Bhx9+qK5YsaJ1PoAL1HcOVFVV/+///q/az0NSUpL9PfWdn7YmMTFR/fOf/6weO3ZM3bt3r/rEE0+ov//97x1eB66Hz6+qdV8TTCbTNXeNTEtLU99++201OztbTU1NVZ966in1nXfeafbrgAxDtHGJiYkEBgbi7e0NwJAhQ8jMzOT8+fOt3LLm5e3tTf/+/av9SU5OvqbPhbe3N0OHDkWnq/5rGx8fT+/evTEYtI7C4cOHc/DgQcrKyti+fTuDBg2yT58aPnw4CQkJLd52V6nvHAD4+/tX+3no168f4Pj8tDW5ubk8+uijREZGMmzYMGbMmMHx48c5cuRIvT/718Pnt1qtdV4TDAbDNXeNNJlM/PKXvyQkJIQePXowfvx4vLy8mv06IMFCG5eamkpgYKD9a3d3d3uX5LXs4sWLLFmyhEceeYRnn32WQ4cOXbfnoubnDg4ORq/XU1BQQGpqKkFBQfZtnTt3pqioiMrKytZoarPKycnhtdde4+GHH+bFF1/k1KlTgOPz09aMGzeO0NBQ+9cGg4GwsDBOnTpV78/+9fD5dTpdndcEuPaukb1797YPHxiNRrKysrj77rub/TogwUIbV1RUhKenZ7XXPD09KS0tbaUWtQx3d3fuvvtu3njjDSIiIliyZAn5+fnX5bmo+TOgKAqenp6UlJRQVFSEh4eHfZttv2vxnHh4eDBnzhxee+01vLy8+Otf/4rZbHZ4ftq6gwcPMmnSJIfXgevh80Pd14Ti4uJr9hr5zjvv8Oabb5KZmUl6enqzXwckWGjjzGZzrWVIDQaDvcvtWvX000/TrVs3goODmTdvHgCHDx++Ls+Fo5+BmttsXZTX4jl5/vnnCQsLo1OnTjzxxBPk5eVx7ty5a/Z35OjRoyiKQmxsbKN+Bqpua8uqfn6o+5pw/Pjxa/bzP/HEE7zwwgvExsbyxhtvNPt1QIKFNs7f379WmeeKigqX1QNvCzw9PQkLCyMoKOi6PBeOfgZqbquoqMDd3b3Wk9a1JigoCF9fX7y8vK7J35GCggI2b97MvHnzUBSlUT8DVbe1VTU/f022a8K1+u8PoNfrARg5ciQ6nY5jx44163VAgoU2LjQ0lIyMDPvXVquVsrIyunbt2oqtal4nTpyo9rWqqpjNZsaPH3/dnQuo/TNQUlKCv78/fn5+tbbl5uYSGRnZGs1sVjV/JkwmE76+vgQHBzs8P21RRUUFa9euZf78+fauZUfXgevh89d3TejRo8c1d4386aefqn1tNpsB+MUvftGs1wEJFtq4YcOGkZGRQW5uLgDHjh1jyJAhuLu7t3LLmk9SUhLp6en2r3fs2MHdd9993ZwL28XB9v/Ro0eTmJhoz27fv38/48ePR1EUYmJi2Ldvn31f27a2ruY52L17NxcuXAC0G8V///tf5s+fj6IoDs9PW2M2m1m2bBn9+/fn9OnTHD16lKNHjxIREVHvz/718PkTExPrvCZ4eXldc9eFpKQkUlJS7F9v3bqVWbNmERMT06zXAVlI6hqQmJjIpk2bCA8Px2w2M2PGjDb7i9AQ2dnZLF++HG9vb0JCQhg6dCj9+/cHrv1zkZCQwIEDB9ixYwfDhg3jxhtvZMyYMezatYs9e/YQHh6OoihMmzYNnU6Hqqps3LiRU6dO0alTJzw9PZk8eXJrf4wmqeschIWF8emnn+Ln50dQUBA33XQT3bt3t7+nvvPT1nz44Yds2rSp1utTp06lf//+9f7sX+uff/To0RQVFdV5TYBr67pw5MgR1q5dS0hICOHh4XTu3Jlhw4YB9f87u+I6IMGCEEIIIRxqe6GlEEIIIVqUBAtCCCGEcEiCBSGEEEI4JMGCEEIIIRySYEEIIYQQDkmwIIQQQgiHJFgQQgghhEMSLAghhBDCIQkWhBBCCOGQobUbIIRo2zZs2MC+ffuYNGkSN91001V3vIYqKytj9erVJCYm8sILL9ChQ4cGve+NN94gMDAQgGnTptn/7qx///vfVFZWcv78eRYuXNjk4wnhChIsCHEd+/7779m4cSNZWVnExMTg7e3N+fPnKS8v58EHH2zQynR33XUXu3fvti9S01SuPp4jhYWF/PDDD0yZMgVvb2/uu+8+HnnkEaxWa4OPkZ6eznPPPeeyNj300EMAvPLKKy1yDoRoCBmGEOI6duuttzJx4kS8vb158sknmTNnDi+88AKhoaG8/fbbDTqGoij2pYJdwdXHc2T//v3s3LnT/rWXl1eLfF8h2hoJFoS4ztV1Y+7Ro0e1r+tab+5aWINOr9fTrl271m6GEFc9GYYQQlRTXl7OTz/9xLRp0zhz5gzr1q0jKyuLN954A4DPP/+cvXv3cscddzBu3Lha779w4QJffPEF7dq1Iy8vj4iICO666y5UVSU+Pp7KykpSUlIoKChg7ty5hIaGXrFNBw8e5MKFC5w5c4aMjAwefPBBjEYj33zzDRaLhZtuuokvvviC4uJipk6dym233WZ/b0JCArm5uaSkpJCSkkJgYCCBgYHce++9bNmyhXPnzvHSSy8xfPhwpkyZAkB+fj4ffvghx48fp2/fvixcuLBRvQ7p6emsWLGC2bNn2wOvt99+m8mTJ9OjRw8sFgurV69Gp9Nx8eJFKisr+dWvftXg4wvR0qRnQQgBQE5ODuvXr+fLL7/koYce4pZbbiEiIoIbb7yRsrIy+3533303Foul3uOsWbOGPn36cN999/Hkk09iNBoB2LRpE+fOnWP8+PE8/vjjhIWFsXLlyiu2a//+/fz000/ccsstPPLIIwwdOpSlS5fSq1cvwsPDOXHiBDqdjtdee4377ruPVatWUVRUBMDhw4fZunUrv/jFL/jNb35DeHg4ffv25X//93+JiIhgwoQJdOvWjT//+c/2QAFg3759PP7447z55pucPHmSrVu3Nvg8VlRUUF5ejslkIj8/3/56ZmamvTfmxx9/5OLFi9x3333Mnz+/QQGTEK1JehaEEACEhIQwderUWq+3b9++2tdubm74+fnVexyLxcJ3332Hh4cHgwYN4p577gG0G2RAQABr1qzBYDCg0+kICwu7Yrt+/PFHioqKWL16NQaDAaPRSLdu3dDr9YSEhBAWFsaIESMAiImJ4cMPPyQrKwt/f38OHjxovxErikL37t0bNOwQGxuLv78/ANHR0Zw7d+6K77Hx9PQkMjISd3d3+2uqqnLhwoVq5+jnn38mLi6O6OhoZs6c2eDjC9EaJFgQQrjUgw8+yCeffMLy5cupqKjgtttu46GHHuLs2bPcfvvtxMTENOp4Z8+e5aabbuLuu++uc7tOd7mD1M3NDV9fX/ssgm7durF27Vp778bZs2d54oknrvg9qx6zffv25ObmNqrNNZ09e5bKykr712PGjCE3N5evv/6aDz74gH79+vHb3/62xRI7hWgsCRaEEA4pikJlZSWqqqIoCqqqcvHixXr3r6ioYMGCBfan57/97W9Mnz4db29vUlNTGx0s2N7njNGjR5OWlsZbb71Fr169mD9/fovWLVBVFavVSkZGRrVAIC8vj1mzZjFz5kxOnz7NX//6V44ePcrQoUNbrG1CNIbkLAhxnTOZTPYn77r4+vpy8eJFEhMTsVqtbN++naKiomq1CKxWq/3rb7/9FpPJhF6vp1evXoSFheHl5UVMTAybN28mMTERVVUpKyvj4MGDdX7PqseLiYlh79697Ny5E1VVMZlM7N27t9Z+Nd8PUFxczP79+5k7dy5TpkzB39+/2v7e3t7k5+dTUVFBcXGxPRej5jEbU3ehqry8PL799lsGDRpEWVkZubm5HDt2jP3793Pu3DkURaFbt274+fnRqVMnp76HEC1BehaEuI7t2LGD7du3U1lZyUcffURsbGytm1Z4eDg333wzb775JmFhYTz00EMEBwezc+dOIiIiOHbsGBkZGezatYvQ0FD0ej1vvvkmnTp1wmKx8Mwzz6AoCvfddx8Gg4Hly5fj7+9Pz549ufPOO2u16Ztvvql2vIkTJ2KxWFi/fj1ff/01ffr0YdKkSSQnJ7Nr1y4yMjL45ptvmDx5sv0YcXFxBAUF4e7ujk6n49e//rV9m7e3N4sWLaJfv35ERUXh4+PDM888w8KFCzlw4ACgVZG8++677fkOKSkp7N69254b0RA6nY5du3bx1FNP4ePjQ8eOHTl+/Dj3338/ubm5fPDBB/Zzfc8999CxY8eG/8MJ0cIU9VqYLC2EEJdU7QXYunUrubm5TJo0CR8fHzIzM1m9ejXt2rVj4cKFjT5e1VwGm4ULF/LOO+/Uen358uXMnz/fiU+geeWVV3jiiScICQlx+hhCuIoMQwghrik6nc7+5/PPP+fOO+8kMDAQd3d3IiIiGDBgQKNqJlQ9XmPk5uY6nGIqRFsiwYIQ4poVEhJCRkaG/WuTycSBAweqFW1qLmazuVqdBSHaMslZEEJcs371q1+xbt06kpOTcXd3p7CwkIcffpjOnTu77Ht07dqV999/H6i+6mSfPn2q1VpoKNuqk4qiYDDIJVpcHSRnQQghhBAOyTCEEEIIIRySYEEIIYQQDkmwIIQQQgiHJFgQQgghhEMSLAghhBDCIQkWhBBCCOGQBAtCCCGEcEiCBSGEEEI49P8yrDtQ4nyxggAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 511.811x255.906 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Try to plot simple least squares fit\n",
    "fit = process.decaying_sinus.fit(pulse_lengths_us, np.real(signal_strengths))\n",
    "pulse_lengths_us_fine = np.linspace(\n",
    "    pulse_lengths_us[0], pulse_lengths_us[-1], len(pulse_lengths_us) * 10\n",
    ")\n",
    "print(f\"Amplitude: {fit.amplitude}\")\n",
    "print(f\"Frequency: {fit.freq} MHz\")\n",
    "print(f\"Period/2pi-pulse: {fit.period} us\")\n",
    "print(f\"Offset: {fit.offset}\")\n",
    "print(f\"Phase: {fit.phase}\")\n",
    "print(f\"Lambda: {fit.lambda_} MHz\")\n",
    "print(f\"'T2*': {1/fit.lambda_} us\")\n",
    "print(f\"pi/2-pulse: {fit.period / 4} us\")\n",
    "\n",
    "# Plot raw data\n",
    "cm = 1 / 2.54\n",
    "fig, axes = plot.subplots(\n",
    "    figsize=figsize,  # Wide Layout: ~16cm, Margin Layout: 10.7cm\n",
    ")\n",
    "axes.plot(\n",
    "    pulse_lengths_us,\n",
    "    np.real(signal_strengths),\n",
    "    linestyle=\"\",\n",
    "    marker=\"o\",\n",
    "    markersize=2,\n",
    ")\n",
    "axes.set_ylabel(\"Signal strength [a.u.]\")\n",
    "axes.set_xlabel(\"Pulse length [μs]\")\n",
    "\n",
    "plot.format_axes(axes)\n",
    "axes.plot(\n",
    "    pulse_lengths_us_fine,\n",
    "    fit(pulse_lengths_us_fine),\n",
    "    linestyle=\"--\",\n",
    ")\n",
    "\n",
    "axes.vlines([fit.period], *axes.get_ylim(), linestyles=\"dashed\", colors=\"grey\")\n",
    "\n",
    "# Save plot\n",
    "fig.savefig(\n",
    "    \"rabi_nutation_fit.pdf\",\n",
    ")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": ".venv",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
