{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "c47ef25e-56be-4691-9396-72154e19e77c",
   "metadata": {},
   "source": [
    "---\n",
    "**© 2026 MaLab @ Purdue University. All rights reserved.**\n",
    "\n",
    "**Authors:** Botao Du, Qihao Guo, Ruichao Ma\n",
    "\n",
    "**Group:** [MaLab @ Purdue](https://www.ma-quantumlab.com/)\n",
    "\n",
    "This notebook and its contents are the intellectual property of the authors.\n",
    "\n",
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "996a638d-8b65-4fee-9377-c764cc9af150",
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from numpy import *\n",
    "from matplotlib.pyplot import *\n",
    "\n",
    "import math as math\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3dcabea2-1d24-4fab-99d5-4f93e55a0de7",
   "metadata": {},
   "source": [
    "# Fig.4 (c) - (f), Load Data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3b050cf3-f673-4308-aef5-373f820818f7",
   "metadata": {},
   "source": [
    "Load decay rate from Fig_4_cdef_data.npz\n",
    "- times: time points for population dynamics data, unit ($\\mu$s), shape: (index_times,) = (46,).\n",
    "- repeat_num: dataset number for independent experiments, each averaged from 16,000 shots, shape: (1,).\n",
    "- N_repeats: population dynamics data (after thermal population correction), shape: (index_repeats, index_times) = (9, 46).\n",
    "- t_lin_reg: times point for decay rate calculation with Local linear regression and Three-point finite difference, unit ($\\mu$s), shape: (index_times,) = (33,).\n",
    "- dN_dt_kHz: averaged emission rate dN/dt from fully inverted states, unit (2$\\pi\\times$ KHz), shape: (index_times,) = (33,).\n",
    "- dN_dt_kHz_var: uncertainty (1$\\sigma$) of emission rate dN/dt from fully inverted states, unit (2$\\pi\\times$ KHz), shape: (index_times,) = (33,).\n",
    "- dN_dt_N_kHz: averaged normalized decay rate dN/dt/N from fully inverted states, unit (2$\\pi\\times$ KHz), shape: (index_times,) = (33,).\n",
    "- dN_dt_N_kHz_var: uncertainty (1$\\sigma$) of normalized decay rate dN/dt/N from fully inverted states, unit (2$\\pi\\times$ KHz), shape: (index_times,) = (33,).\n",
    "- VarN_indep_mean: mean value of variance of N, independent part, for 9 dataset, shape: (index_times,) = (33,).\n",
    "- VarN_indep_var: uncertainty (1$\\sigma$) of variance of N, independent part, for 9 dataset, shape: (index_times,) = (33,).\n",
    "- VarN_mean: mean value of variance of N, for 9 dataset, shape: (index_times,) = (33,).\n",
    "- VarN_var: uncertainty (1$\\sigma$) of variance of N, for 9 dataset, shape: (index_times,) = (33,)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "ef76a4ea-1beb-492d-bc8f-0d3a75b892f6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dataset for Fig.4 (c) - (f), Programmable Superradiance in an Interacting Qubit Array, MaLab, arXiv: 2605.12442\n",
      "['times', 'N_repeats', 'repeat_num', 't_lin_reg', 'dN_dt_kHz', 'dN_dt_kHz_var', 'dN_dt_N_kHz', 'dN_dt_N_kHz_var', 'VarN_indep_mean', 'VarN_indep_var', 'VarN_mean', 'VarN_var', 'note']\n"
     ]
    }
   ],
   "source": [
    "infile = 'data/Fig_4_cdef_data.npz'\n",
    "exp_data = np.load(infile)\n",
    "print(exp_data['note'])\n",
    "print(exp_data.files)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "052680c6-6e32-4d62-9faf-46281c4a2efc",
   "metadata": {},
   "outputs": [],
   "source": [
    "times = exp_data['times']\n",
    "N_repeats = exp_data['N_repeats']\n",
    "repeat_num = exp_data['repeat_num']\n",
    "\n",
    "t_lin_reg = exp_data['t_lin_reg']\n",
    "dN_dt_kHz = exp_data['dN_dt_kHz']\n",
    "dN_dt_kHz_var = exp_data['dN_dt_kHz_var']\n",
    "dN_dt_N_kHz = exp_data['dN_dt_N_kHz']\n",
    "dN_dt_N_kHz_var = exp_data['dN_dt_N_kHz_var']\n",
    "\n",
    "VarN_indep_mean = exp_data['VarN_indep_mean']\n",
    "VarN_indep_var = exp_data['VarN_indep_var']\n",
    "VarN_mean = exp_data['VarN_mean']\n",
    "VarN_var = exp_data['VarN_var']\n",
    "\n",
    "N_mean = N_repeats.mean(axis=0)\n",
    "N_sem = N_repeats.std(axis=0, ddof=1) / np.sqrt(repeat_num)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "06e8f7c8-d41a-4c91-abe6-d437df46d5ca",
   "metadata": {},
   "source": [
    "## Plot Fig. 4 (c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "296e6334-6601-4fff-869d-67a635bf7dcd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.0, 15.0)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.errorbar(times, N_mean, yerr=N_sem,\n",
    "             linestyle='-', fmt='o', markersize=3,\n",
    "             elinewidth=0.8, capsize=0,\n",
    "             label='data')\n",
    "\n",
    "plt.xlabel('Time ($\\\\mu$s)')\n",
    "plt.ylabel('Total population')\n",
    "plt.xlim(0, 15)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c374de1f-a1f8-4369-9b65-eb8990d61035",
   "metadata": {},
   "source": [
    "## Plot Fig. 4 (d)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "6c89597c-94a7-4df9-9fe5-2303fc5ccd59",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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B74/pgnPKPFy8no9ZPxzD99Oi6vx6IiIyTfwtbkAp2QXV9sASAVy5yS0V9MHOxgqLx4XhqehAAMC9a0zHje6Mv+f2xejwlvUOLA5ya6yYFAEHWyscvJyDD/+uvg8aERGZF4YeA6ppdeGGTPtuyAKA+l400FTJZAIGd/aq8Vigu2Oj1vNp4+mID8aGAgBWxF/CX6eVDb4WERFJr2l/IkqsaobU/TYMrYuqsSb1GTfSkNeYK32Fy5o83MUH03pXzuB66acTSMnmvlxEROaKocfA7t78U187kZMufYXL2rw2rAMiA5sjr6Qcz36XgMLScr1cl4iIjIuhxwjMcYaU1Op7e86Q4dLGSobPHu8Kd0c5krPy8J9NSRDv3beCiIhMHkMPmaSG3J4zZLj0dLbDZ4+Hw0omYNPxdHx/8IrevwYRERkWQw9RHUW1csOrQ9sDAP5vyxnsTL4O4M7ik0REZNoYeiycpczy0pdn+rTC0E7eKKsQMfuHRADAkMW7se7IVWkLIyKiB+InnYWzpFle+iAIAl4c3E6nTSMC8zeeQqaK6y8REZkyrshMVE838kuqtWlE4NFl+zCwgyeiW7shurUbPJ04cJ2IyJQw9BDVU9W6QPeutn09rwQ/HknDj0fSAADtvBzRs7U7olu7oUeQGxTNbCSoloiIqjD0ENVT1bpAVfuqyQRg4YhO8Hdthn0Xs7H/0k2cyVTjfFY+zmflY+X+VAgC0NlXgZ5t3NCztTsiA5ujmS3/+RERGZNJjOnZvXs3RowYAV9fXwiCgM2bN2uPlZWV4dVXX0VISAgcHBzg6+uLJ598EhkZGTrXyMnJwcSJE+Hs7AwXFxdMmzYN+fn5Rv5OSErGHJR977pAk3sGYkAHT7zxSEf8MacPjr35EJZP7IonegSgtYcDRBE4la7C/+IvY/I3hxH61t94bMV+fLztPA5evomS8gqD10xEZOlM4n81CwoKEBoaiqlTpyI2NlbnWGFhIY4dO4Y333wToaGhuHXrFubMmYORI0fi6NGj2vMmTpyIzMxMbNu2DWVlZZgyZQqmT5+OtWvXGvvbIYlUDco2lvutC+TqYIthIT4YFuIDAMhSF2P/pWzsv3gT+y/dRHpuEY6k3sKR1FtYsv0C7GxkiAx0RXTryp6gzr7O3NWdiEjPTCL0DBs2DMOGDavxmEKhwLZt23Tali1bhu7du+Pq1avw9/fH2bNnsXXrVhw5cgTdunUDACxduhTDhw/Hhx9+CF9fX4N/D0T34+Vsh9HhLTE6vCVEUURaTlFlCLpUGYKy80uw50I29lzIBpAMJ7k1olq5omdrd/Rs44Z2nk6N2jyViIhMJPTUl0qlgiAIcHFxAQAcOHAALi4u2sADADExMZDJZDh06BBGjx5d43VKSkpQUnJnJo5arTZo3URA5bR3f7dm8Hfzx/ju/hBFEReu52P/7fFABy/fhLq4HP+cvY5/zlYugOjmYIserd3Q83ZPUKBbMwgCQxARUX2YXegpLi7Gq6++igkTJsDZ2RkAoFQq4enpqXOetbU1XF1doVQqa71WXFwc3nrrLYPWS/QggiCgnZcT2nk54aleQajQiDiTodb2BB1OycHNglL8fjITv5/MBAD4KuwQ3dq9MgS1cau2uWqmqggp2QUIcnfQ28arRETmzqxCT1lZGf71r39BFEUsX7680debP38+5s2bp32uVqvh5+fX6OsSNYaVTEBISwVCWirw736tUVquwYlrubfHA2Xj+NVcZKiK8fOxa/j52DUAldPoq3qBlKoivPvHWe3MsrjYEL1uwEpEZK7MJvRUBZ4rV65gx44d2l4eAPD29sb169d1zi8vL0dOTg68vb1rvaZcLodcLjdYzUT6YGtdOcg5MtAVc2Laoqi0Akev5GjHA526louU7AKkZBdgzSHd7TA0IvD6xiT0befBHh8isnhmEXqqAs+FCxewc+dOuLm56RyPjo5Gbm4uEhISEBERAQDYsWMHNBoNoqKipChZhznvb2XOtTdV9rZW6NPWA33aegAA1MVlOHy5MgRtO6NE2i3d7TAqRBGp2YUMPURk8Uwi9OTn5+PixYva5ykpKUhMTISrqyt8fHwwduxYHDt2DFu2bEFFRYV2nI6rqytsbW0RHByMoUOH4plnnsGKFStQVlaG559/HuPHjzeJmVvGnkqtT+Zcu6VwtrNBTEcvxHT0wjN9g9Br0Q6d1aJlAhDo3ky6AomITIRJ/O/70aNHER4ejvDwcADAvHnzEB4ejgULFiA9PR2//vorrl27hrCwMPj4+Ggf+/fv115jzZo16NChAwYNGoThw4ejd+/e+OKLL6T6logkUbVa9N2z2x3l1tW2zCAiskSCKIr8dXibWq2GQqGASqXSGTNEVJOS8gp8vvMSnhvQ2uR2qc9UFSEpXYV3fz+L1JuFaO3hgA3P9kRzB1upSyMi0ru6fn4z9NyFoYeamozcIoxZvh+ZqmKE+blg7TNR3POLiJqcun5+m8TtLSIyDF8Xe6ye2h0KexskpuVi5ppjKKvQSF0WEZEkGHqImri2Xk745qlI2NnIsDP5Bl79+STYwUtEloihh8gCRAQ0x2ePd4WVTMDGY+lYtPWc1CURERkdQw+RhRgU7IVFsSEAgP/FX8ZXey5LXBERkXEx9BBZkMe6+eHVoR0AAO/8fhabj6dLXBERkfEw9BBZmGf7tcLUXkEAgJfWn0D8+RsSV0REZBwMPUQWRhAEvPFwMEaG+qJcI2LG9wlITMuVuiwiIoNj6CGyQDKZgA8fC0Wftu4oLK3A1JVHcOlGvtRlEREZFEMPkYWytZZh+aQIhLRQIKegFE9+fRhZ6mKpyyIiMhiGHiIL5ii3xrdTIhHo1gzpuUWY/M1hqIrKpC6LiMggGHqILJy7oxzfTYuCh5Mc55R5eGb1URSXVUhdFhGR3jH0EBH8XJth5ZRIOMmtcTglB3N+PI4Kbs1ORE0MQw8RAQA6+SrwxZPdYGslw1+ns/DG5iRuV0FETQpDDxFpRbd2w6fjwyAIwA+Hr2LxPxekLomISG8YeohIx7AQH7z9aGcAwKfbL+C7g1ckroiISD8Yeoiomkk9AjBnUFsAwIJfkvDHqUyJKyIiajyGHiKq0dyYtng8yh+iCMz9MREHLt2UuiQiokZh6CGiGgmCgLcf7YyhnbxRWqHB9NVHEZ98HfsvZSNTVSR1eURE9SaInJ6hpVaroVAooFKp4OzsLHU5RCahuKwCT35zGIdTcrRtMgGIiw3BuEh/CSsjIqpU189v9vQQ0X3Z2VjhnVGdddo0IvD6xiT2+BCRWWHoIaIHys4vqdZWIYpIzS6UoBoiooZh6CGiBwpyd4BM0G0TBCDQvZk0BRERNQBDDxE9kI/CHnGxITrBx0oQkFdcLl1RRET1xNBDRHUyLtIf+14biLVPRyEqyBXlGhGz1h7n5qREZDYYeoioznwU9ujZxh3LHu8Kd0dbJGfl4Z3fz0hdFhFRnTD0EFG9eTjJ8fG/wgAA3x+8iq1JXLGZiEwfQw8RNUjfdh74d99WAIBXNpxEei6nrxORaWPoIaIGe3Fwe4S2VEBdXI65Px5HeYVG6pKIiGrF0ENEDWZrLcOSCeFwlFvjSOotLNlxUeqSiIhqxdBDRI0S4OaAd0dXrti8bMcFHLzMjUmJyDQx9BBRoz0a1gJjI1pCc3tH9lsFpVKXRERUDUMPEenFWyM7oZWHA5TqYry84SS4lzERmRqGHiLSCwe5NZaMD4etlQz/nM3C6gNXpC6JiEiHSYSe3bt3Y8SIEfD19YUgCNi8ebPOcVEUsWDBAvj4+MDe3h4xMTG4cOGCzjk5OTmYOHEinJ2d4eLigmnTpiE/P9+I3wURdW6hwGvDOgAA3v3jLM5kqCWuiIjoDpMIPQUFBQgNDcVnn31W4/EPPvgAS5YswYoVK3Do0CE4ODhgyJAhKC4u1p4zceJEnD59Gtu2bcOWLVuwe/duTJ8+3VjfAhHdNqVXIAZ18ERpuQbP/3AMhaXcn4uITIMgmtiNd0EQsGnTJowaNQpAZS+Pr68vXnzxRbz00ksAAJVKBS8vL6xcuRLjx4/H2bNn0bFjRxw5cgTdunUDAGzduhXDhw/HtWvX4OvrW6evrVaroVAooFKp4OzsbJDvj8gS5BSUYtinu5GlLsG4bn54f2wXqUsioiasrp/fJtHTcz8pKSlQKpWIiYnRtikUCkRFReHAgQMAgAMHDsDFxUUbeAAgJiYGMpkMhw4dqvXaJSUlUKvVOg8iajxXB1t8Mi4MggCsO5qG305kSF0SEZHphx6lUgkA8PLy0mn38vLSHlMqlfD09NQ5bm1tDVdXV+05NYmLi4NCodA+/Pz89Fw9keXq2dodM/u3AQC8vvEU0nIKJa6IiCydyYceQ5o/fz5UKpX2kZaWJnVJRE3K3Ji2iAhojryScsz64TjKuE0FEUnI5EOPt7c3ACArK0unPSsrS3vM29sb169f1zleXl6OnJwc7Tk1kcvlcHZ21nkQkf5YW8nw6fgwONtZIzEtFwt/TcK8dYm4crNA6tKIyAKZfOgJCgqCt7c3tm/frm1Tq9U4dOgQoqOjAQDR0dHIzc1FQkKC9pwdO3ZAo9EgKirK6DUT0R0tmzfDojGVA5nXHkrDxuPpGPDhLqw7clXiyojI0lhLXQAA5Ofn4+LFOxsVpqSkIDExEa6urvD398fcuXPxzjvvoG3btggKCsKbb74JX19f7Qyv4OBgDB06FM888wxWrFiBsrIyPP/88xg/fnydZ24RkeGE+7voPNeIwOsbk9C3nQd8FPbSFEVEFsckQs/Ro0cxYMAA7fN58+YBACZPnoyVK1filVdeQUFBAaZPn47c3Fz07t0bW7duhZ2dnfY1a9aswfPPP49BgwZBJpNhzJgxWLJkidG/FyKqLiW7+u2sClFEanYhQw8RGY3JrdMjJa7TQ2QYmaoi9Fq0A5q7ftvIBGDfawMZeoio0ZrMOj1EZP58FPaIiw2BTLjTFujmAG9nu9pfRESkZww9RGQU4yL9sfOl/hjayQu2VgIuZxfgz6Ta19EiItK3RoWesrIypKWlITk5GTk5OfqqiYiaqAA3B6x4ohtm3F608N3fz6KotELiqojIUtQ79OTl5WH58uXo168fnJ2dERgYiODgYHh4eCAgIADPPPMMjhw5YohaiaiJeLZfa7RwsUd6bhFWxF+SuhwishD1Cj0ff/wxAgMD8e233yImJgabN29GYmIizp8/jwMHDmDhwoUoLy/H4MGDMXToUFy4cMFQdRORGbO3tcJ/Hg4GAKyIv8QtKojIKOo1e2vChAl444030KlTp/ueV1xcjJUrV8LW1hZTp05tdJHGwtlbRMYjiiIe//IQDly+iWGdvbF8UoTUJRGRmarr5zenrN+FoYfIuM4p1Xh4yV5UaESseToKvdq4S10SEZkhg09ZHzhwIN56661q7bdu3cLAgQMbelkisiAdvJ3xRI8AAMBbv53mhqREZFANDj27du3CsmXLMGrUKBQU3FlttbS0FPHx8Xopjoiavhdi2qF5Mxucz8rH9wevSF0OETVhjZqy/s8//0CpVKJHjx5ITU3VU0lEZEkUzWzw8pAOAICPt53HzfwSiSsioqaqUaHHx8cH8fHxCAkJQWRkJHbt2qWnsojIkoyL9EMnX2fkFZfjw7+TpS6HiJqoBoceQahcT14ul2Pt2rWYM2cOhg4dis8//1xvxRGRZbCSCXhrZOWs0B+PpOHUNZXEFRFRU9Tg0HPvpK833ngDa9aswUcffdTooojI8nQLdMWoMF+IIrDw16Rqv2OIiBqrwaEnJSUFHh4eOm1jxozBoUOH8M033zS6MCKyPK8NC0YzWyscu5qLzYnpUpdDRE1Mg0NPQECA9hbX3Tp16oTJkyc3qigiskzeCjs8P7ByX664P84hv6Rc4oqIqCmpd+hRq9V1ehARNcS03kEIcGuG63klWLbjotTlEFETYl3fF7i4uNTYw1NFFEUIgoCKCu6cTET1J7e2woJHOmLaqqP4eu9l9G7jho3H0jEnpi0C3BykLo+IzFi9Q8/OnTu1/y2KIoYPH46vvvoKLVq00GthRGS5BnbwRP/2HtiVfAOTvj4MANicmI642BCMi/SXuDoiMlf1Dj39+vXTeW5lZYUePXqgVatWeiuKiCybIAh4tl9r7Eq+oW3TiMDrG5PQt50HfBT2ElZHROaqUYsTEhEZiqaGKesVoojU7EIJqiGipoChh4hMUpC7A2T3DB+0EgQEujeTpiAiMnt6CT33G9hMRNQQPgp7xMWG4O7fLu/FduatLSJqsHqP6YmNjdV5XlxcjGeffRYODrqzKjZu3Ni4yojI4o2L9IeHkxxTVx6FAKBXG3epSyIiM1bv0KNQKHSeT5o0SW/FEBHda2AHL/Ru4469F7Oxan8q/vNwR6lLIiIzVe/Q8+233xqiDiKiWk3rE4S9F7Px4+E0zB7UFk52NlKXRERmqMFjen744Ydaj7388ssNvSwRUTX92nqgtYcD8krK8dPRa1KXQ0RmqsGhZ8aMGfjzzz+rtb/wwgv4/vvvG1UUEdHdZDIB03pXrgX27b4UVGi4AzsR1V+DQ8+aNWswYcIE7N27V9s2a9Ys/PTTTzqrNhMR6UNs1xZo3swG124V4e/TSqnLISIz1ODQ8/DDD+Pzzz/HyJEjkZCQgOeeew4bN27Ezp070aFDB33WSEQEOxsrTOoRAAD4am+KxNUQkTmq90Dmuz3++OPIzc1Fr1694OHhgfj4eLRp00ZftRER6XgiOgD/i7+MhCu3cPzqLYT7N5e6JCIyI/UKPfPmzaux3cPDA127dsXnn3+ubfv4448bVxkR0T08newwMswXGxKu4eu9KVj2OEMPEdVdvULP8ePHa2xv06YN1Gq19jhXaCYiQ5naKwgbEq7hzyQlrt0qRMvm3JaCiOqmXqGHA5SJSGodfZ3Rq40b9l28ycUKiaheuOEoEZmdp29PX//xcBryS8olroaIzIVZhJ6Kigq8+eabCAoKgr29PVq3bo23334bonhnrQ5RFLFgwQL4+PjA3t4eMTExuHDhgoRVE5Gh9Gt312KFR9KkLoeIzIRZhJ73338fy5cvx7Jly3D27Fm8//77+OCDD7B06VLtOR988AGWLFmCFStW4NChQ3BwcMCQIUNQXFwsYeVEZAgymYCpvYMAAN9wsUIiqiOzCD379+/Ho48+iocffhiBgYEYO3YsBg8ejMOHDwOo7OVZvHgx3njjDTz66KPo0qULVq9ejYyMDGzevFna4onIIGLDW3KxQiKqlwaFnuvXr+PDDz+s8dinn36KjIyMRhV1r549e2L79u04f/48AODEiRPYu3cvhg0bBgBISUmBUqlETEyM9jUKhQJRUVE4cOBArdctKSmBWq3WeRCRebC3vbNY4ddcrJCI6qBBoefmzZv46KOPMHPmTJ32l19+Ge+88w5u3Lihl+KqvPbaaxg/fjw6dOgAGxsbhIeHY+7cuZg4cSIAQKms/L88Ly8vndd5eXlpj9UkLi4OCoVC+/Dz89Nr3URkWE/0CICNlYCjtxcrJCK6nwaFnuDgYOzatQu//PILpk6dCo1Gg9mzZ+O7777D9u3bERoaqtcif/rpJ6xZswZr167FsWPHsGrVKnz44YdYtWpVo647f/58qFQq7SMtjQMiicyJp7MdRoa2AAAs23ER+y9lI1NVJHFVRGSqGrwNRfv27REfH49Bgwahffv2KCwsxM6dOxEcHKzP+gBU9iBV9fYAQEhICK5cuYK4uDhMnjwZ3t7eAICsrCz4+PhoX5eVlYWwsLBaryuXyyGXy/VeLxEZz7TeQfj52DVsP3cd289dh0wA4mJDMC7SX+rSiMjENGogc+vWrREdHY1Lly4hMjIS7du311ddOgoLCyGT6ZZqZWUFjUYDAAgKCoK3tze2b9+uPa5Wq3Ho0CFER0cbpCYiMg3NHWx0nmtE4PWNSezxIaJqGhx6RFHEpEmTcPDgQcTHxyM5ORn/+te/UF6u/4XCRowYgXfffRe///47UlNTsWnTJnz88ccYPXo0gMptL+bOnYt33nkHv/76K06dOoUnn3wSvr6+GDVqlN7rISLTkZJdUK2tQhSRml0oQTVEZMoadHurvLwcjz/+OI4fP47du3fDz88Pu3btQkxMDGJjY7FhwwbY2trqrcilS5fizTffxHPPPYfr16/D19cX//73v7FgwQLtOa+88goKCgowffp05Obmonfv3ti6dSvs7Oz0VgcRmZ4gdwfIhMoenipWgoBAd+7JRUS6BPHuZY3raP/+/Zg5cyb+/PNP7XgaAMjOzsbw4cMRFxeHQYMG6bVQY1Cr1VAoFFCpVHB2dpa6HCKqo3VHruK1jadQ9dssLjYEE7pzTA+Rpajr53eDQg9QeXurpt3Ua2s3Bww9ROYr5UYBRizbg/ySCiyf2BXDQnwe/CIiahLq+vnd4DE9tQUbcw08RGTegjwcMKVX5dYUX3GxQiKqgVlsQ0FEVBdPRAfA1kqGhCu3cIyLFRLRPRh6iKjJ8HSyw6NhvgCAr/ewt4eIdDU49Hz++ecoKyvTZy1ERI02rU/lLa4/kzKRlsNp60R0R4NDz6xZs7Bly5Ya99m63yafRESG1MHbGX3aukMjAiv3p0pdDhGZkAZvQyGKIh577DGIoghPT0+EhISgS5cuCAwMxMKFC3Hz5k191klEVGfTegdhz4VsrDuShjkxbeFsZ/PgFxFRk9fg0AMAly9fxo0bN3Dy5EmcOHECCQkJ+Omnn9CjRw991UdEVG/92nmgracjLlzPx09H0vB0n1ZSl0REJqBRocfOzg4RERGIiIjQVz1ERI0mCAKm9Q7CaxtP4dt9qXiqZyCsrThvg8jSNeq3wNmzZzmYmYhM0qjwFnBzsEV6bhG2nlZKXQ4RmYBGhZ6BAwfC0dERISEhePzxx7Fo0SL88ccfuHbtmr7qIyJqEDsbK0zqEQAA+HJPChq4+DwRNSENDj0dOnRAUlIStm7diunTp8PBwQGbNm3Cv/71LwQEBOizRiKiBpnUIwC21jKcSMvlYoVE1PAxPWfOnAEABAcHY8CAAdp2URRx6dKlxldGRNRIHk5yjA5rgXVH0/DVnhREBLhKXRIRSUjvI/sEQUCbNm30fVkiogapWqzwr9NKXL3JxQqJLFmDQk9RURH27t2r7e25W3FxMVavXt3owoiI9KGdlxP6tfOARgS+2cetKYgsWb1Dz/nz5xEcHIy+ffsiJCQE/fr1Q2Zmpva4SqXClClT9FokEVFjPH27t+eno2lQFXHGKZGlqnfoefXVV9G5c2dcv34dycnJcHJyQq9evXD16lVD1EdE1Gi927ijvZcTCksr8ONh/q4islT1Dj379+9HXFwc3N3d0aZNG/z2228YMmQI+vTpg8uXLxuiRiKiRhEEQTu2Z+X+VJRVaCSuiIikUO/QU1RUBGvrO5O+BEHA8uXLMWLECPTr1w/nz5/Xa4FERPrwaJgv3B3lyFQV449TmQ9+ARE1OfUOPR06dMDRo0ertS9btgyPPvooRo4cqZfCiIj0SW5thSejK9cQ+3ovFyskskT1Dj2jR4/GDz/8UOOxZcuWYcKECfxlQkQmaWKUP+TWMpy8psKRVC5WSGRpBJEJRUutVkOhUEClUsHZ2VnqcojIAOZvPIUfDl/F4I5e+OLJblKXQ0R6UNfP73r19NR3hlZ6enq9ziciMrRpvQMBANvOZiE1u0DaYojIqOoVeiIjI/Hvf/8bR44cqfUclUqFL7/8Ep07d8bPP//c6AKJiPSpjacTBrT3gMjFCoksTr323jpz5gzeffddPPTQQ7Czs0NERAR8fX1hZ2eHW7du4cyZMzh9+jS6du2KDz74AMOHDzdU3UREDfZ0n1bYmXwD649ew7yH2sGlma3UJRGRETRoTE9RURF+//137N27F1euXEFRURHc3d0RHh6OIUOGoHPnzoao1eA4pofIMoiiiOFL9uJsphqvDG2P5/pzv0Aic1bXz28OZL4LQw+R5fg54RpeXH8CXs5y7HllIGyt9b7/MhEZiUEGMhMRNRUjQn3h6SRHlroEv5/KkLocIjIChh4iski21jJM7hkIAPhqDxcrJLIEDD1EZLEe7+4POxsZTmeocfByjtTlEJGBMfQQkcVq7mCLsREtAQBf7+WGyURNHUMPEVm0qb0qd1//5+x1XL6RL3E1RGRIjQo9ZWVlSEtLQ3JyMnJy2DVMROanlYcjYoI9AXCxQqKmrt6hJy8vD8uXL0e/fv3g7OyMwMBABAcHw8PDAwEBAXjmmWfuu2IzEZGpmda7FQBgQ8I13CoolbgaIjKUeoWejz/+GIGBgfj2228RExODzZs3IzExEefPn8eBAwewcOFClJeXY/DgwRg6dCguXLigt0LT09MxadIkuLm5wd7eHiEhITh69Kj2uCiKWLBgAXx8fGBvb4+YmBi9fn0iarp6tHJFJ19nFJdpsObQFanLISIDqdfihBMmTMAbb7yBTp063fe84uJirFy5Era2tpg6dWqji7x16xbCw8MxYMAAzJgxAx4eHrhw4QJat26N1q1bAwDef/99xMXFYdWqVQgKCsKbb76JU6dO4cyZM7Czs6vT1+HihESWa9Pxa3hh3Ql4OMmx99UBkFtbSV0SEdWRwVdk7tmzJ7Zu3WqUcPDaa69h37592LNnT43HRVGEr68vXnzxRbz00ksAKjc+9fLywsqVKzF+/Pg6fR2GHiLLVVquQd8PdkKpLsaHj4VqZ3URkekz+IrMBw8eRHFxcY1f+NVXX23oZWv066+/olu3bnjsscfg6emJ8PBwfPnll9rjKSkpUCqViImJ0bYpFApERUXhwIEDtV63pKQEarVa50FElkl3scLLXKyQqAmqd+gZO3YsFi1aBEEQcP369WrHCwoK8OGHH+qluCqXL1/G8uXL0bZtW/z111+YMWMGZs+ejVWrVgEAlEolAMDLy0vndV5eXtpjNYmLi4NCodA+/Pz89Fo3EZmXx7v7w97GCueUedh/6abU5RCRnlnX9wX+/v7YsmULRFFEaGgo3NzcEBoaitDQUISFhSE5ORk+Pj56LVKj0aBbt2547733AADh4eFISkrCihUrMHny5AZfd/78+Zg3b572uVqtZvAhsmCKZjb4V7eWWHXgCr7acxm92rhLXRIR6VG9Q8/HH38MALC1tcW+ffuQkZGB48ePIzExEZs2bYJGo8EHH3yg1yJ9fHzQsWNHnbbg4GD8/PPPAABvb28AQFZWlk7gysrKQlhYWK3XlcvlkMvleq2ViMzblF5BWH3wCnYm38DF63lo4+kkdUlEpCf1Dj1VCgoKYGNjAwB49NFH9VZQTXr16oXk5GSdtvPnzyMgIAAAEBQUBG9vb2zfvl0bctRqNQ4dOoQZM2YYtDYialoC3R3wULAX/j6Tha/3piIuNkTqkohITxo8kLkq8BjDCy+8gIMHD+K9997DxYsXsXbtWnzxxReYOXMmAEAQBMydOxfvvPMOfv31V5w6dQpPPvkkfH19MWrUKKPVSURNw9N9Khcr3HjsGm7ml0hcDRHpS71Cz9WrV+t18fT09HqdX5vIyEhs2rQJP/zwAzp37oy3334bixcvxsSJE7XnvPLKK5g1axamT5+OyMhI5OfnY+vWrXVeo4eIqEpkYHN0aalASbkG3x+s3+89IjJd9Vqnx8vLC6NGjcLTTz+NyMjIGs9RqVT46aef8Omnn2L69OmYPXu23oo1NK7TQ0RVfklMx5wfE+HuaIu9rw6EnQ0XKyQyVXX9/K7XmJ4zZ87g3XffxUMPPQQ7OztERETA19cXdnZ2uHXrFs6cOYPTp0+ja9eu+OCDDzB8+PBGfyNERFIYHuKDRX+eQ6aqGB//fR5TegfCR2EvdVlE1AgNWpG5qKgIv//+O/bu3YsrV66gqKgI7u7uCA8Px5AhQ9C5c2dD1Gpw7Okhors9930C/kiqXOtLJgBxsSEYF+kvcVVEdC+Db0PRFDH0EFGVTFURei3aAc1dvyGtBAF7XxvAHh8iE2PQbSiuXLmCv//+u9bVjjMyMhpyWSIik5GSXaATeACgQhSRml0oTUFE1Gj1Dj0//PAD2rRpg6FDh6JVq1b47rvvAFTO7Fq0aBGioqLg78/uXyIyb0HuDpAJum0yAQh0byZNQUTUaPUOPW+//TZmzZqFU6dO4aGHHsKMGTPw5ptvonXr1li5ciW6deuG9evXG6JWIiKj8VHYIy42BFbCneTTs7U7b20RmbF6j+mRy+Xa1ZCvXbsGf39/9O/fH5999hmCg4MNVadRcEwPEd0rU1WEzcfT8f7WZDjJrXHg9UFwlDd4MXsiMgCDjekpKyuDvX3l/+m0bNkSdnZ2+PDDD80+8BAR1cRHYY9/922NVu4OyCspx88J16QuiYgaqEEDmdeuXYtz584BAKysrNC8eXO9FkVEZEpkMgFP9QoEAKzanwrNvSOcicgs1Dv09OnTBwsXLkSnTp3g7u6O4uJifPrpp/jpp59w5swZlJeXG6JOIiJJxXZtCSe5NS5nF2D3hRtSl0NEDVDvG9Px8fEAgAsXLiAhIQHHjh3DsWPHsHr1auTm5sLW1hbt2rXDyZMn9V4sEZFUHOXWeKybH77Zl4KV+1PRv72n1CURUT01eDRe27Zt0bZtW4wfP17blpKSgqNHj+L48eN6KY6IyJQ8GR2Ab/enYFfyDVy+kY9WHo5Sl0RE9dCgMT21CQoKwmOPPYb33ntPn5clIjIJge4OGHi7h2f1gSsSV0NE9aXX0ENE1NRVDWhefzQNecVl0hZDRPXC0ENEVA+927ijjacjCkorsIHT14nMCkMPEVE9CIKAyT0DAXD6OpG5YeghIqqnMV1bwMnOGqk3C7Hr/HWpyyGiOmLoISKqp2a21hgf6QcA+HZfqrTFEFGdMfQQETXAk9GBEARgz4VsXLyeJ3U5RFQHDD1ERA3g59oMMcFeAIBV+zl9ncgcMPQQETXQlNsDmn8+dg2qIk5fJzJ1DD1ERA0U3doN7bwcUVhagfVH06Quh4gegKGHiKiBBEHAUz2DAFSu0FzB6etEJo2hh4ioEUaHt4DC3gZXcwqx4xynrxOZMoYeIqJGsLe1wvjuldPXV+5PkbgaIrofhh4iokZ6okcAZAKw7+JNnM/i9HUiU8XQQ0TUSC2bN8Pgjt4AgJX7U6UthohqxdBDRKQHVbuvbzx2DapCTl8nMkUMPUREehAV5IoO3k4oLtNg3dGrUpdDRDVg6CEi0gNBEDDldm/Pqv2cvk5kihh6iIj05NGwFmjezAbpuUX452yW1OUQ0T0YeoiI9MTOxgoTuvsDAL7dx+nrRKaGoYeISI8m9QiAlUzAwcs5OJuplrocIroLQw8RkR75uthjaKfK6eurOH2dyKSYZehZtGgRBEHA3LlztW3FxcWYOXMm3Nzc4OjoiDFjxiAri/fUicj4qqavbzqejlsFpdIWQ0RaZhd6jhw5gv/973/o0qWLTvsLL7yA3377DevXr0d8fDwyMjIQGxsrUZVEZMm6BTRHJ19nlJRr8OMR7r5OZCrMKvTk5+dj4sSJ+PLLL9G8eXNtu0qlwtdff42PP/4YAwcOREREBL799lvs378fBw8elLBiIrJElbuvBwIAvjuQivIKjbQFEREAMws9M2fOxMMPP4yYmBid9oSEBJSVlem0d+jQAf7+/jhw4ECt1yspKYFardZ5EBHpw4hQX7g52CJDVYxtZ3irncgUmE3o+fHHH3Hs2DHExcVVO6ZUKmFrawsXFxeddi8vLyiVylqvGRcXB4VCoX34+fnpu2wislB2NlZ4POr29HUOaCYyCWYRetLS0jBnzhysWbMGdnZ2ervu/PnzoVKptI+0NN57JyL9mRgVAGuZgMMpOTidoZK6HCKLZxahJyEhAdevX0fXrl1hbW0Na2trxMfHY8mSJbC2toaXlxdKS0uRm5ur87qsrCx4e3vXel25XA5nZ2edBxGRvngr7DAsxAcA8MHWc8hUFUlcEZFlM4vQM2jQIJw6dQqJiYnaR7du3TBx4kTtf9vY2GD79u3a1yQnJ+Pq1auIjo6WsHIisnQtm9sDAOLPZ6PXoh1Yd4SbkRJJxVrqAurCyckJnTt31mlzcHCAm5ubtn3atGmYN28eXF1d4ezsjFmzZiE6Oho9evSQomQiImSqivC/+Eva5xoReH1jEvq284CPwl7Cyogsk1mEnrr45JNPIJPJMGbMGJSUlGDIkCH4/PPPpS6LiCxYSnYB7t1svUIUkZpdyNBDJAFBFEXxwadZBrVaDYVCAZVKxfE9RNRomaoi9Fq0Qyf4CAD2zx/I0EOkR3X9/DaLMT1ERObIR2GPuNgQWAmCts3WWoZmtk2mk53IrDD0EBEZ0LhIf+x9bQDWPh2FIPdmKCnX4Nt9KVKXRWSRGHqIiAzMR2GPnm3c8eLg9gCAr/emQFVUJnFVRJaHoYeIyEiGd/ZBW09H5BWXY+W+VKnLIbI4DD1EREYikwmYE9MWAPD13svs7SEyMoYeIiIjqurtUbO3h8joGHqIiIxIJhMwe9Cd3h51MXt7iIyFoYeIyMiGh7C3h0gKDD1EREZmdVdvz1d72NtDZCwMPUREEhge4oM27O0hMiqGHiIiCVjpjO1JYW8PkREw9BARSeTh2709qqIyrGJvD5HBMfQQEUnESiZg1sA2AICv9qYgj709RAbF0ENEJKFHuviitYdDZW/P/lSpyyFq0hh6iIgkdPfYni/3sLeHyJAYeoiIJMbeHiLjYOghIpIYe3uIjIOhh4jIBDzSxRetbvf2rD5wRepyiJokhh4iIhNgJRMwR9vbc5m9PUQGwNBDRGQiqnp7cgvZ20NkCAw9REQmwkomYPbAO709+SXlEldE1LQw9BARmZARob5o5V7Z28OZXET6xdBDRGRCdGdysbeHSJ8YeoiITAx7e4gMg6GHiMjEWMkEzBpUuSfXF/GXsONcFjJVRRJXRWT+GHqIiEzQiC6+cHe0haq4HFNXHkWvRTuw7shVqcsiMmsMPUREJuhGfglu5pdqn2tE4PWNSezxIWoEhh4iIhOUkl0A8Z62ClFEanahJPUQNQUMPUREJijI3QEyQbdNJgCB7s2kKYioCWDoISIyQT4Ke8TFhsBKuJN8vJzt4OEol7AqIvPG0ENEZKLGRfpj72sDsGJSVzjZWSNTVYxv9qVIXRaR2WLoISIyYT4Kewzt7IM3H+kIAPh423mk5XBcD1FDMPQQEZmBxyJaokcrVxSXafCfzUkQxXuHORPRgzD0EBGZAUEQ8N7oENhay7D7/A38eiJD6pKIzI5ZhJ64uDhERkbCyckJnp6eGDVqFJKTk3XOKS4uxsyZM+Hm5gZHR0eMGTMGWVlZElVMRKR/rTwcMXtg5UrN//fbGdwqKH3AK4jobmYReuLj4zFz5kwcPHgQ27ZtQ1lZGQYPHoyCggLtOS+88AJ+++03rF+/HvHx8cjIyEBsbKyEVRMR6d/0vq3RzssRNwtK8d4fZ6Uuh8isCKIZ3hi+ceMGPD09ER8fj759+0KlUsHDwwNr167F2LFjAQDnzp1DcHAwDhw4gB49etTpumq1GgqFAiqVCs7Ozob8FoiIGizhyi2MXbEfogisfToKPdu4S10SkaTq+vltFj0991KpVAAAV1dXAEBCQgLKysoQExOjPadDhw7w9/fHgQMHar1OSUkJ1Gq1zoOIyNRFBDTHpKgAAMDrm06huKxC4oqIzIPZhR6NRoO5c+eiV69e6Ny5MwBAqVTC1tYWLi4uOud6eXlBqVTWeq24uDgoFArtw8/Pz5ClExHpzctD28PLWY7Um4VYtuOi1OUQmQWzCz0zZ85EUlISfvzxx0Zfa/78+VCpVNpHWlqaHiokIjI8ZzsbvDWy8n/8VsRfQrIyT+KKiEyfWYWe559/Hlu2bMHOnTvRsmVLbbu3tzdKS0uRm5urc35WVha8vb1rvZ5cLoezs7POg4jIXAzt7I3BHb1QrhHx2saT0GjMbogmkVGZRegRRRHPP/88Nm3ahB07diAoKEjneEREBGxsbLB9+3ZtW3JyMq5evYro6Ghjl0tEZDRvPdoJjnJrHL+aizWHrkhdDpFJM4vQM3PmTHz//fdYu3YtnJycoFQqoVQqUVRUBABQKBSYNm0a5s2bh507dyIhIQFTpkxBdHR0nWduERGZIx+FPV4Z2h4A8P7WZChVxRJXRGS6zCL0LF++HCqVCv3794ePj4/2sW7dOu05n3zyCR555BGMGTMGffv2hbe3NzZu3Chh1URExjExKgDh/i7ILynHwl+TpC6HyGSZ5To9hsJ1eojIXJ1TqvHIkr0o14hYMSkCQzvXPp6RqKlp0uv0EBGRrg7ezvh3v1YAgDc2n8L2s1nIVBVJXBWRaWHoISJqImYNbAs3B1tk55di2qqj6LVoB9YduSp1WUQmg6GHiKiJuFVYipzCO5uQakTg9Y1J7PEhuo2hh4ioiUjJLsC9ozQrRBGp2YXSFERkYhh6iIiaiCB3B8iE6u3WVsavhcgUMfQQETURPgp7xMWGwErQTT4vrT+JG3klElVFZDo4Zf0unLJORE1BpqoIqdmFcJRbYcaaY7h2qwidWzjjx+nRcJRbS10ekd5xyjoRkYXyUdgjurUbQlq6YPXU7nB1sEVSuhrPfpeA0nKN1OURSYahh4ioCWvl4Yhvn4pEM1sr7L2YjZfWn+DGpGSxGHqIiJq4UD8XrJgUAWuZgF9PZODt38+AIxvIEjH0EBFZgL7tPPDhY6EAgG/3pWJF/GWJKyIyPoYeIiILMSq8Bd54OBgA8P7Wc1h/NE3iioiMi6GHiMiCPN2nFf7dt3KPrtc2nsKOc1kSV0RkPAw9REQW5tWhHRAb3gIVGhHPrTmGv88osf9SNreroCaPCzYQEVkYmUzA+2O7IKewFLuSb2D66oTKdgGIiw3BuEh/iSskMgz29BARWSAbKxkWPNJRp40blFJTx9BDRGShlOriam0VoohL1/MlqIbI8Bh6iIgsVG0blL6/NRlpOdyZnZoehh4iIgt17walggDIrWU4la7C8CV78NuJDIkrJNIvbjh6F244SkSWqGqD0kD3ZiivEDH7x+M4fjUXADA2oiX+38hO3KiUTFpdP78Zeu7C0ENEBJRVaLB0+wUs23kRGhEIdGuGJRPC0aWli9SlEdWIu6wTEVGD2FjJMG9we/zwTA/4KOyQerMQsZ/vx4r4S0i/Vcg1fchssafnLuzpISLSlVtYitd+PoWtp5U67VzTh0wJe3qIiKjRXJrZYvmkrpg/tINOu0YE5m88xR4fMisMPUREdF+CICDET1GtXSMCb/12Gtfzqq/3Q2SKGHqIiOiBalvTZ2tSFvp+sBPvbDmD7PwS4xdGVA8MPURE9ED3ruljJQDTegch3N8FxWUafLU3BX3e34m4P8/ibKaag53JJHEg8104kJmI6P7uXtPHR2EPURQRf/4GPtl2HieuqXTO5WBnMhau09MADD1ERA0jiiI2JFzDyxtOVjs2tVcgxkX6o52XI4TbPUWZqiKkZBcgyN0BPgp7Y5dLTUxdP7+5xCYRETWaIAho0bzm8PLNvlR8sy8VrTwcMKyzN6wEQbvwIXuDyJgYeoiISC+qBjtr7rp/IAhAr9ZuOJxyC5dvFOCznZd0XlM19b1HKzcEuDkYuWKyNLy9dRfe3iIiapx1R67i9Y1JqBBFWAkC3ovtjHGR/sgrLsOOc9fx/cErOJJ6q9rrZALQxtMRHbyd0d7bCcE+Tujg7QwfhZ32ltjdeHuM7sYxPQ3A0ENE1Hj3Dna+91ivRTt0eoPux8nOGsHezujg44T23pVBKCldhbd+O83bY6TF0NMADD1ERIZ3b2/Qu6M7o287DyQr83BWqca5zDwkK/Nw6UY+yuuQjgQArw/vgGAfBbwVdvBR2MGhll3h2UPUNFls6Pnss8/w3//+F0qlEqGhoVi6dCm6d+9ep9cy9BARGcf9eoOqlJRX4PKNApy7HYTOKfNw8loubhWWPfD6znbW8FHYa0OQt8IOaTmF2Hg8HeLtHqJ3R4dgQvf79xDVNyQxVEnDIkPPunXr8OSTT2LFihWIiorC4sWLsX79eiQnJ8PT0/OBr2foISIybTXdHhMARAY2x63CMihVxcgrKa/z9dwcbOHlbAcPJzncHeW3/7SFh5McSekqfL03RXsb7UEhad2Rq5i/8VSdbrvVJRw96JzGHjc2Q9ZjkaEnKioKkZGRWLZsGQBAo9HAz88Ps2bNwmuvvfbA1zP0EBGZvtoGS1fJKy5DlroYmapiZOZW/nni2i3sOHej0V/bSgDsba0ht5ZBbi2DnY0VbK1lEAQBZzPVOucKACb1CIC3wg4OtlZoJreGo9waR1JzsHJ/KkSxcnbb3EFt8UioL2xkMlhZCbCRCfjtRAbe/eOsNkD936OdMS7SD1aCAJlMeGDAqk8AMwZD12Nxoae0tBTNmjXDhg0bMGrUKG375MmTkZubi19++aXaa0pKSlBScmevGLVaDT8/P4YeIiITV5fbY/eef28PkUwAvnkqEqII3MgvwY28EmTf/vPSjXyczcwz4Hegf24OtrCzsYJMANJuVd8CpJOvM2ytK3efqpoPVzUz7s7zO+cLVa26f+icV3WO9nkNry8tr8Dhe2bsWQkC9r42QG89Pha3OGF2djYqKirg5eWl0+7l5YVz587V+Jq4uDi89dZbxiiPiIj0yEdhX68PzKq9w+7tIerfvuahD7WFpE3P9YTC3hYl5RqUlFeguKzyz8zcYrz680nc3YsgAHisW0sAQEFpBQpKyqHMLca5rOphqplNZW9RmUZEWbkGDemNuFlQet/jpzPU9z1uTBWiiNTsQqPfdmsyoach5s+fj3nz5mmfV/X0EBFR0zMu0h9923nUqYeotpAU6te81teIEO972w2oOUxZCQK2v9RfW09tgWvrnL5wd5IjU1WEEUv3Vju+8qnuUDSzgVJVhGfXHIN4z/G42C5wdbBF1Q2eqsN3zrvzgqq26udUfp81n1M9qokikFtYird+O6MT5KwEAYHuzaqdb2hNJvS4u7vDysoKWVlZOu1ZWVnw9vau8TVyuRxyudwY5RERkQmoTw9RfUJSXc+vLUzdfW5t57TzdgIAuDrY1ni8b3sPAEConwsW1XB8XKR0/1Nvb2t13+/ZWJrMmB6gciBz9+7dsXTpUgCVA5n9/f3x/PPPcyAzERGZjLqMSXrQOY09bmyGrMfixvQAwLx58zB58mR069YN3bt3x+LFi1FQUIApU6ZIXRoREZFWXXqcHnROY48bmynU06RCz7hx43Djxg0sWLAASqUSYWFh2Lp1a7XBzURERGR5mtTtrcbi7S0iIiLzU9fPb5kRayIiIiKSDEMPERERWQSGHiIiIrIIDD1ERERkERh6iIiIyCIw9BAREZFFYOghIiIii8DQQ0RERBaBoYeIiIgsQpPahqKxqhanVqvVEldCREREdVX1uf2gTSYYeu6Sl5cHAPDz85O4EiIiIqqvvLw8KBSKWo9z7627aDQaZGRkwMnJCYIg1Ok1kZGROHLkSJ2/Rn3Of9C5DT1eU7tarYafnx/S0tJMct+x+v49G+u6fP+Ng++//o7z/dffdfn+G0dd/t5EUUReXh58fX0hk9U+coc9PXeRyWRo2bJlvV5jZWVVrx+S+pz/oHMbevx+r3N2djbJH/r6/j0b67p8/42D77/+jvP91991+f4bR13/3u7Xw1OFA5kbaebMmQY7/0HnNvR4fWs2BYaqubHX5ftvHHz/9Xec77/+rsv33zj0WTNvbxGAyu5NhUIBlUplkkmfDIvvv2Xj+2/ZLOn9Z08PAQDkcjkWLlwIuVwudSkkAb7/lo3vv2WzpPefPT1ERERkEdjTQ0RERBaBoYeIiIgsAkMPERERWQSGHiIiIrIIDD1ERERkERh6qN5Gjx6N5s2bY+zYsVKXQkawZcsWtG/fHm3btsVXX30ldTlkZPz3brnS0tLQv39/dOzYEV26dMH69eulLqnROGWd6m3Xrl3Iy8vDqlWrsGHDBqnLIQMqLy9Hx44dsXPnTigUCkRERGD//v1wc3OTujQyEv57t1yZmZnIyspCWFgYlEolIiIicP78eTg4OEhdWoOxp4fqrX///nBycpK6DDKCw4cPo1OnTmjRogUcHR0xbNgw/P3331KXRUbEf++Wy8fHB2FhYQAAb29vuLu7IycnR9qiGomhp4nZvXs3RowYAV9fXwiCgM2bN1c757PPPkNgYCDs7OwQFRWFw4cPG79QMorG/jxkZGSgRYsW2uctWrRAenq6MUonPeDvA8umz/c/ISEBFRUV8PPzM3DVhsXQ08QUFBQgNDQUn332WY3H161bh3nz5mHhwoU4duwYQkNDMWTIEFy/fl17TlhYGDp37lztkZGRYaxvg/REHz8PZL74/ls2fb3/OTk5ePLJJ/HFF18Yo2zDEqnJAiBu2rRJp6179+7izJkztc8rKipEX19fMS4url7X3rlzpzhmzBh9lElG0pCfh3379omjRo3SHp8zZ464Zs0ao9RL+tWY3wf8927+Gvr+FxcXi3369BFXr15trFINij09FqS0tBQJCQmIiYnRtslkMsTExODAgQMSVkZSqMvPQ/fu3ZGUlIT09HTk5+fjzz//xJAhQ6QqmfSIvw8sW13ef1EU8dRTT2HgwIF44oknpCpVrxh6LEh2djYqKirg5eWl0+7l5QWlUlnn68TExOCxxx7DH3/8gZYtW/IXpJmqy8+DtbU1PvroIwwYMABhYWF48cUXOXOriajr7wP+e2+a6vL+79u3D+vWrcPmzZsRFhaGsLAwnDp1Sopy9cZa6gLI/Pzzzz9Sl0BGNHLkSIwcOVLqMkgi/PduuXr37g2NRiN1GXrFnh4L4u7uDisrK2RlZem0Z2VlwdvbW6KqSCr8ebBsfP8tm6W+/ww9FsTW1hYRERHYvn27tk2j0WD79u2Ijo6WsDKSAn8eLBvff8tmqe8/b281Mfn5+bh48aL2eUpKChITE+Hq6gp/f3/MmzcPkydPRrdu3dC9e3csXrwYBQUFmDJlioRVk6Hw58Gy8f23bHz/ayD19DHSr507d4oAqj0mT56sPWfp0qWiv7+/aGtrK3bv3l08ePCgdAWTQfHnwbLx/bdsfP+r495bREREZBE4poeIiIgsAkMPERERWQSGHiIiIrIIDD1ERERkERh6iIiIyCIw9BAREZFFYOghIiIii8DQQ0RERBaBoYeIiIgsAkMPERERWQSGHiIyGf3798fcuXMl+do3b96Ep6cnUlNT9XbN8ePH46OPPtLb9Yiocbj3FhEZhSAI9z2+cOFCzJ49GzY2NnBycjJSVXfMmzcPeXl5+PLLL/V2zaSkJPTt2xcpKSlQKBR6uy4RNQxDDxEZhVKp1P73unXrsGDBAiQnJ2vbHB0d4ejoKEVpKCwshI+PD/766y/06NFDr9eOjIzEU089hZkzZ+r1ukRUf7y9RURG4e3trX0oFAoIgqDT5ujoWO32Vv/+/TFr1izMnTsXzZs3h5eXF7788ksUFBRgypQpcHJyQps2bfDnn39qX6PRaBAXF4egoCDY29sjNDQUGzZsuG9tf/zxB+RyebXAs3fvXtjY2KC4uFjblpqaCkEQcOXKFQDAhg0bEBISAnt7e7i5uSEmJgYFBQXa80eMGIEff/yxMX91RKQnDD1EZNJWrVoFd3d3HD58GLNmzcKMGTPw2GOPoWfPnjh27BgGDx6MJ554AoWFhQCAuLg4rF69GitWrMDp06fxwgsvYNKkSYiPj6/1a+zZswcRERHV2hMTExEcHAw7Oztt2/Hjx9G8eXMEBAQgMzMTEyZMwNSpU3H27Fns2rULsbGxuLsDvXv37jh8+DBKSkr0+LdCRA1hLXUBRET3ExoaijfeeAMAMH/+fCxatAju7u545plnAAALFizA8uXLcfLkSYSHh+O9997DP//8g+joaABAq1atsHfvXvzvf/9Dv379avwaV65cga+vb7X2EydOIDw8XKctMTERoaGhAIDMzEyUl5cjNjYWAQEBAICQkBCd8319fVFaWgqlUqk9h4ikwdBDRCatS5cu2v+2srKCm5ubTrDw8vICAFy/fh0XL15EYWEhHnroIZ1rlJaWVgsvdysqKtLpzamSmJiIxx9/XKft+PHjCAsLA1AZyAYNGoSQkBAMGTIEgwcPxtixY9G8eXPt+fb29gCg7YkiIukw9BCRSbOxsdF5LgiCTlvVrDCNRoP8/HwAwO+//44WLVrovE4ul9f6Ndzd3XHr1i2dtoqKCiQlJVULS8eOHcOYMWMAVIawbdu2Yf/+/fj777+xdOlS/Oc//8GhQ4cQFBQEAMjJyQEAeHh41Pl7JiLD4JgeImoyOnbsCLlcjqtXr6JNmzY6Dz8/v1pfFx4ejjNnzui0JScno7i4WOe214EDB5Cenq7t6QEqQ1evXr3w1ltv4fjx47C1tcWmTZu0x5OSktCyZUu4u7vr7xslogZhTw8RNRlOTk546aWX8MILL0Cj0aB3795QqVTYt28fnJ2dMXny5BpfN2TIEMyfPx+3bt3S3ppKTEwEACxduhSzZ8/GxYsXMXv2bACVt8sA4NChQ9i+fTsGDx4MT09PHDp0CDdu3EBwcLD22nv27MHgwYMN+F0TUV0x9BBRk/L222/Dw8MDcXFxuHz5MlxcXNC1a1e8/vrrtb4mJCQEXbt2xU8//YR///vfACpDz5AhQ3D58mWEhISgY8eOeOuttzBjxgwsWbIE3333HZydnbF7924sXrwYarUaAQEB+OijjzBs2DAAQHFxMTZv3oytW7ca5Xsnovvj4oRERKgcB/Tyyy8jKSkJMpkMQ4YMQWRkJN55550GX3P58uXYtGkT/v77bz1WSkQNxTE9REQAHn74YUyfPh3p6ekAKqer3zv9vL5sbGywdOlSfZRHRHrAnh4ionsolUr4+Pjg9OnT6Nixo9TlEJGeMPQQERGRReDtLSIiIrIIDD1ERERkERh6iIiIyCIw9BAREZFFYOghIiIii8DQQ0RERBaBoYeIiIgsAkMPERERWQSGHiIiIrIIDD1ERERkERh6iIiIyCL8f2UAgFBzta5oAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.errorbar(t_lin_reg, dN_dt_kHz, yerr=dN_dt_kHz_var,\n",
    "             linestyle='-', fmt='o', markersize=3,\n",
    "             elinewidth=0.8, capsize=0,\n",
    "             label='data')\n",
    "\n",
    "plt.xlabel('Time ($\\\\mu$s)')\n",
    "plt.ylabel(r'$R(t)$ ($2\\pi\\times$kHz)')\n",
    "plt.xscale('log')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7671deeb-1a18-4f4d-b10c-7d8a7561781a",
   "metadata": {},
   "source": [
    "## Plot Fig. 4 (e)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "f7b2de01-16bc-44b2-af97-bbe27f004c2e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.errorbar(t_lin_reg, dN_dt_N_kHz, yerr=dN_dt_N_kHz_var,\n",
    "             linestyle='-', fmt='o', markersize=3,\n",
    "             elinewidth=0.8, capsize=0,\n",
    "             label='data')\n",
    "\n",
    "plt.xlabel('Time ($\\\\mu$s)')\n",
    "plt.ylabel(r'$\\Gamma(t)$ ($2\\pi\\times$kHz)')\n",
    "plt.xscale('log')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6552d4de-d1e7-443c-86a6-adfbb2e3c054",
   "metadata": {},
   "source": [
    "## Plot Fig. 4 (f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "4d31c80a-4a52-45db-b8f1-c05ce0843b7f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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3GjFhiBeuSgiyelsFe3GTSrDppnG4PjEUBiPwyBcn8NR3p2AwcC0cIiLqOww3A0yb3oAPDhUAAG5MCndwNR1JxCI8sXgkHpg9HACw4acc3P9xOprb9A6ujIiIBguGmwFmb2YFSup08HJzwdwRAY4up1OCIODemVH477UJkIgEfJFejJWbD6Pu3MwuIiIie2K4GWDeP9dqc+24EMhdxA6upmvXjQ/F5pUT4C4VIzW3Cn/akIqSuiZHl0VERE6O4WYAOVvTiB8zywEA1yc6dgBxT00d7oePVyfDTyFDZpkWi9en4FSpxtFlERGRE2O4GUA+PFQIoxGYHOmDoX4eji6nx+KDVPj8rkmIVHugVKPDda+nIiW70tFlERGRk2K4GSBa9QZ8lFYIoH8OJO5OiJcbPl2djMQh3tA2t2H55kN4dU8WjhfV4XhRHco1OkeXSEREToLhZoD4IaMMFdpm+HrIMDvO39Hl9IqnmxRbVyXiqpGBaDMY8ezO05j/yn7Mf2U/3jtY4OjyiIjISTDcDBDtH/5LJ4TARTxwv21yFzFeuX4Mrk8MNR/7c1KYwxchJCIi5zFwPyUHkfzKBuzProQgAMsmDPwQIBIJuH/WcNxwLuB8cKgQJ0s4yJiIiGyD4WYAaF+0b9pwP4R6uzm4Gtt472AB3j9kGkOkNxqx5qN0NLa0ObgqIiJyBgw3/Vxzmx6fHDkLYGAOJL6YG5PC8PW9U/DBbUnwcZeitrEV//46w9FlERGRE2C46ed2HC9FdUMLAlVyzIj2c3Q5NqNWyjEiWIXkYb545YYxEART99SO49xNnIiILg3DTT93fiBxKCQDeCBxVyYN88UdU4cBAB7c9htK6zgtnIiIes85Py2dRFaZFofyqiEWCU4xkLgra2cPx8hgFWobW7H243TuJE5ERL3GcNOPte8jNTNGjQCV3MHV2JdUIsKLy0bD1UWMlJwqvPFzrqNLIiKiAYrhpp9qatHjs3MDiW8YJGvADPPzwLoFcQCAZ3dm4nhRnYMrIiKigYjhpp/6+rdiaHRtCPFyxdQo5xlI3J2lE0IxNz4ArXoj/vLhUU4PJyIiqzHc9FPtXVI3JIVBJBIcXE3fEQQBTy4ZiQClHLkVDfj31ycdXRIREQ0wDDf9TLlGhy/Ti3C0oBZikYAZwwdPq007L3cpnv/TqHPTwws4PZyIiKwisfYCvV6PLVu2YPfu3SgvL4fBYLB4fc+ePTYrbjB672ABXtqdBQDQG4zYcaIMsUEqB1fV9yZF+uL2qUOx8adcPLjtN4wJ84S/0rkHVRMRkW1Y3XKzZs0arFmzBnq9HiNGjMCoUaMsHnRp5sT7w18pA2BaxXdO/MDcAdwWHpgdjRHBSk4PJyIiq1jdcvPhhx/i448/xpVXXmmPega9L9KLUaZpBmBqxfH1kCFuELbcAKbp4S8tG4OrXv4Zv2RX4c39ubj93GJ/REREF2N1y41UKkVkZKQ9aiEAMQEKAECQpxxf3zsFNw6SaeAXM8zPA4/MjwcA/Pd7Tg8nIqLuWR1uHnjgAbz00kswGtlFYA9Z5fUATFsSjAhWQc1xJrg+MRRz4v3RqjdizYdH0dSid3RJRETUj1ndLbV//378+OOP+O677xAfHw8XFxeL17dt22az4gajtDM1AIAJQ7wcXEn/IQgCnlqSgPTCfcipaMB/vsnA/1s80tFlERFRP2V1uPH09MTixYvtUcug19ymx7HCWgDA+CHeji2mn/Fyl+K560bjz28dxHsHCzBtuB+uiA9wdFlERNQPWR1u3n77bXvUQQCOF2nQ3GaAt7sUQ33dHV1OvzMlyjQ9fNO+XPzfZ79hVCinhxMRUUe9XsSvoqIC+/fvx/79+1FRUWHLmgatI2eqAQDjwr0gCINnVWJrPHDFcMQHKVHT2Iq/fnKM08OJiKgDq8NNQ0MDbrnlFgQGBmLq1KmYOnUqgoKCsGrVKjQ2NtqjxkHjcD7H23RHJhHjpWVjIHcR4eesSmz+Jc/RJRERUT9jdbhZu3YtfvrpJ3z11Veora1FbW0tvvjiC/z000944IEH7FHjoGA0GnHk3GDiceEcb9OVSLUHHp5v2j38mR2ZOFHM6eFERHSe1eHms88+w1tvvYV58+ZBqVRCqVTiyiuvxBtvvIFPP/3Uqnvt27cPCxYsQFBQEARBwPbt27u9Zu/evRg7dixkMhkiIyOxZcsWa7+Efim3sgHVDS2QSUQYEax0dDn93g2JYZgd548WvQFrPkzn9HAiIjKzOtw0NjbC37/jlgBqtdrqbqmGhgaMGjUK69ev79H5eXl5uOqqqzBjxgykp6fjvvvuw6233orvv//eqvftj9LyTeNtRoV4QiYRO7ia/k8QBDx9TQLUChmyy+vx/77NcHRJRETUT1gdbpKTk7Fu3TrodDrzsaamJjz22GNITk626l7z5s3Df/7znx5PLd+wYQMiIiLw3HPPITY2Fvfccw+uvfZavPDCC1a9b3+Udm68zXiOt+kxb3cpnvuTaT+z/x0owK6MMgdXRERE/YHVU8FfeuklzJkzByEhIeaNMo8dOwa5XG73FpTU1FTMmjXL4ticOXNw3333XfSa5uZmNDc3m59rNBp7lXdJzi/ex/E21rgsyg+3TonAm/vzTNPDQy7jqs5ERIOc1eFmxIgRyMrKwnvvvYdTp04BAK6//nrceOONcHV1tXmBFyotLe3QJebv7w+NRoOmpqZO3//JJ5/EY489Zte6LlVlfTPyKhsAAGPD+r7lRqvVIisrC3l5eVAoFAgPD8fQoUM7rD7dX/1tbjRScqqQUaLBA58cwzs3J0Ik4lR6IqLByupwAwBubm647bbbbF2LXTz00ENYu3at+blGo0FoaKgDK+qovUsq2l8BlVvfBgqNRoOtW7eisrLSfCwlJQUikQhqtRrBwcEICgpCcHAw/Pz8IBb3v/FAMokYL18/Gle9vN88PfzWy4Y6uiwiInKQHoWbL7/8EvPmzYOLiwu+/PLLLs+9+uqrbVJYZwICAlBWZjmuoqysDEql8qKtRjKZDDKZzG412UL7YOK+HG/T1taG1NRU7Nu3D62trRavubi4oLW1FaWlpSgtLcWRI0cAABKJBAEBARaBx9vbGyJRr9eCtJlItQL/mh+Hh7cfxzM7MjFpmC/igjjrjIhoMOpRuFm0aBFKS0uhVquxaNGii54nCAL0evtNyU1OTsa3335rcWzXrl1WD2Tub9rH2/RVuDl9+jR27NiB6mpTqAoKCsLEiRPh6+sLAPDw8IDBYEBxcTGKiopQXFyM4uJiNDc34+zZszh79qz5XjKZDEFBQeawExQUBJVK5ZAVlv+cFIafMivww8kyrPnwKL66dwrkLv2vpYmIiOyrR+HGYDB0+vdLVV9fj+zsbPPzvLw8pKenw9vbG2FhYXjooYdQVFSErVu3AgBWr16NV199FX//+99xyy23YM+ePfj444/xzTff2KymvtbUosfxItMidOPtvHhfVVUVduzYgaysLACmEDN79mwkJCR0GkY8PT0RF2daLM9gMKC6utocdoqKilBaWorm5mbk5eUhL+/8SsHu7u4WYSc4OBju7vbfK8s0PXwk5r5Ui6zyevy/b07i34tG2P19iYiofxGMRqNVm/Ns3boVS5cu7dDV09LSgg8//BDLly/v8b327t2LGTNmdDi+YsUKbNmyBStXrkR+fj727t1rcc3999+PjIwMhISE4OGHH8bKlSt7/J4ajQYqlQp1dXVQKh3fbXEgtwrLNh2Av1KGAw/NtEuLR3NzM37++WekpqZCr9dDJBJh4sSJmDZt2iV12en1epSXl1u08JSVlaGz/6VUKpVF4AkKCoJcbp9ZTftOV2D55kMAgLdWjMfM2I7rMhER0cBizee31eFGLBajpKQEarXa4nhVVRXUarVdu6Vsob+Fm1f3ZOHZnadxVUIg1t8w1ub3P3XqFL744gs0NTUBAEJDQ7Fw4UJzF5SttY/VuTDwXDhY+UIqlQr+/v4YNWoUwsLCoFAobFbHv7/OwFv78+DtLsWO+y6DWsHp4UREA5k1n99Wz5YyGo2dti6cPXsWKpXK2tsNeubNMsNtP96mpaUFn332mcWAYUEQ7BZsANNg5NDQUIsZaTqdDiUlJRZdWnV1debH6dOnERERgeXLl9us5ervc6PxS3YlTpVq8ddPfsOWlRM4PZyIaJDocbgZM2YMBEGAIAiYOXMmJJLzl+r1euTl5WHu3Ll2KdJZ6Q1G/FrQPpjYtuNtjEYjvv76a7S2tkImk+Hyyy+Hq6sr/Pz8bPo+PSGXyxEREYGIiAjzsa+++so8Cwswjbf68MMPcfXVV9tkfI5MIsYr14/B/Ff2Y9/pCmxJycctUyK6v5CIiAa8Hoeb9llS6enpmDNnDjw8PMyvSaVSDBkyBNdcc43NC3Rmp8u00Ora4C4VIybAdl0yAHD48GH89ttvEAQB119/PYYMGWLT+1+q6dOnY9y4cTAajfj9999x+PBhZGZm4vXXX8fixYsxbNiwS36PKH8F/nVVLB7+4gSe+u4Ukof5IDbQ8V2RRERkXz0ON+vWrQMADBkyBEuXLrXbYNDBpH19m7HhXpCIbbdWTGFhIXbs2AEAmD17dr8LNgCgUCjMY2yCg4MxatQofPbZZ6isrMS7776LSZMm4fLLL7doIeyNP08Mx97MCuw+VY41Hx7Fl/dwejgRkbOz+hN1xYoVDDY20r6+zTgbjrepr6/Hxx9/DIPBgLi4uAGzBlBgYCBuv/12jBs3DoBpleS33nrrooORe0oQBDx9bQJ8PWQ4XVaPJ789aYtyiYioH7M63Oj1ejz77LNITExEQEAAvL29LR7Uc+3bLthqs0y9Xo9PP/0UWq0Wvr6+WLhwoUMW0+stqVSKBQsWYOnSpXB1dUVJSQk2btyIX3/9tdPp5T3l6yHDs9clAADeST2DPae4ezgRkTOzOtw89thjeP7557F06VLU1dVh7dq1WLJkCUQiER599FE7lOicimubUFTbBLFIwOhQT5vcc8+ePcjPz4dUKu10LaKBIjY2FnfeeSciIiLQ2tqKL7/8Ep988ol5OntvTI9W4+bJQwAAf/vkN1Rom7u+gIiIBiyrw817772HN954Aw888AAkEgmuv/56vPnmm3jkkUdw4MABe9TolNq7pOIClXCXXdq4EgDIyMjAL7/8AgBYuHChQ2ZF2ZJSqcRNN92EWbNmQSQSISMjA6+//jry8/N7fc//mxuDmAAFqhpa8LdPj11SaxAREfVfVoeb0tJSjBw5EoBp+f66OtPWAfPnzx/Q2yD0NVtulllRUYHt27cDMO2/FR8ff8n37A9EIhGmTJmCVatWwdvbGxqNBlu2bMHu3bt7tVik3EWMl68fA5lEhL2ZpunhRETkfKwONyEhISgpKQEADBs2DDt37gRgmno8ULtBHKF9vM2l7ifV3NyMjz76CC0tLQgPD8esWbNsUV6/EhwcjDvuuANjxowBAPz888/YvHmzeeNPawz3V+AfV8YCAJ749iS+PlaM40V1KNfobFozERE5jtXhZvHixdi9ezcA4N5778XDDz+MqKgoLF++HLfccovNC3RGWl0rTpVqAFxay43RaMSXX36JyspKeHh44Nprr4VY7JzTnGUyGRYuXIjrrrsOcrkcRUVF2LBhA9LT063uXlqeHI4hPm5o1RtxzwdHMf+V/XjvYIGdKicior5m9WCPp556yvz3pUuXIiwsDKmpqYiKisKCBQtsWpyzOlpQC4MRCPN2g7+yd9PqtVotUlJScOLECQiCgPnz59t0b6b+Kj4+HsHBwfj8889x5swZbN++HdnZ2Zg/f36PlygQBAEb/jwOyzYdQG1TK0aHemLphBA7V05ERH3lkleOS05Oxtq1axlsrGAeb3MJ69vs3bsXqampAEwtOGfOnLFJbQOBp6cnVqxYgcsvvxyCIOD48eN4/fXXUVDQ89YXb3cp/jYnGgCQXliL53ae5gBjIiInYXXLzdatW7t8ffny5b0uZrBo3yzzUvaTah/31G6wfTCLRCJMnToVERER2LZtG2pqavD2229j6tSpmDp1arfdc+8dLMBLu7PMzz/7tQgxAUrcNnWovUsnIiI7E4xWfip6eVm2NrS2tqKxsRFSqRRubm69GuTZl6zZMt0eWvUGJDy6E02teuy6fyqi/K3vSmpqasILL7yAlpYWzJkzB+Hh4RbbGQw2Op0O3377LX777TcAQGhoKJYsWdLh/9ULlWt0KD+31s3nR4vw1v48CALw2g1jMW9kYJ/UTUREPWfN57fVLTc1NTUdjmVlZeHOO+/E3/72N2tvN+hkFGvQ1KqHytUFw/w8ur+gE4cPH0ZLSwvUajWSkpIgEtluX6qBSC6XY8mSJYiMjMQ333yDwsJCbNiwAfPnzzcvW/BHaqUc6nPjneKDlGhpM+DdA2dw30fpCFDJMSbMdltiEBFR37LJp2JUVBSeeuoprFmzxha3c2qHLxhvIxJZvzVCS0uLebHEKVOmDPpgc6GEhASsXr0aoaGhaG5uxmeffYbPP/8czc1dr0YsCALWLYjDjGg/NLcZcOs7aSisbuyjqomIyNZs9skokUhQXFxsq9s5rSPtm2X2cgr4r7/+isbGRnh5eTnNYn225OXlhZUrV2LatGkQBAHHjh3Dhg0bcPbs2S6vk4hFePWGsYgLVKKqoQUr3z6EusbWPqqaiIhsyepuqS+//NLiudFoRElJCV599VVMnjzZZoU5o7K6JqTmVgEAfNylKNfozF0jPdHW1oaUlBQAwOTJk512TZtLJRaLMWPGDAwdOtQ82Hjz5s2YPn16l61d7jIJNq+cgEXrf0FORQNW/+8I3rklEVIJW8eIiAYSqwcU//GDQRAE+Pn54fLLL8dzzz2HwMD+PRjTkQOK131xHO+knp+yvWZmFO6fPbzH1//666/48ssv4eHhgfvuuw8SyaXvSeXsmpqa8M033+D48eMAgPDwcCxZsgQqleqi12QUa3DdhhQ0tOixZGwwnrtu1IDaXZ2IyBlZ8/lt9a+kBoPB4qHX61FaWor333+/3wcbR4tUnx9A/NHtE3FjUliPrzUYDNi/fz8AYNKkSQw2PeTq6oprrrkGixYtglQqxZkzZ/D666/jxIkTF70mLkiJ9TeOhVgkYNuvRXh5d3YfVkxERJfK6nDz+OOPo7Gx42DLpqYmPP744zYpylnlVjT0+tqMjAxUV1dDLpdj3LhxNqzK+QmCgNGjR+OOO+5AUFAQdDodPvnkE3zwwQc4c+YMiouLodVqLa6ZHq3G4wtNY5pe+OE0Pj/a9ZgdIiLqP6zulhKLxSgpKYFarbY4XlVVBbVa3avdmvuSI7ulZj63FzkXBJyedksZjUZs2LABZWVlmD59OqZPn27HKp2bXq/H3r178fPPP1scnzZtGmbMmNHh/Ce/PYmN+3LhIhbw7qokTBzq01elEhHRBezaLWU0Gjsdf3Ds2DF4e1/aDtfOrlVvypH/WTgCX987pcfdUtnZ2SgrK4OLiwsSExPtWaLTE4vFmDlzJhYsWGDei6qr6fT/NzcGV44MQKveiDvePYKcivq+KpWIiHqpxwM3vLy8IAgCBEHA8OHDLQKOXq9HfX09Vq9ebZcinYGuVY+zNabuvCvi/a2aJdXeyjB+/Hi4ubnZpb7BRqPRQKfTATCNZ/rpp59QW1uLq666ClKp1HyeSCTg+T+NRkndARwtqMXNbx/G53dNgo+HzFGlExFRN3ocbl588UUYjUbccssteOyxxyxmm0ilUgwZMgTJycl2KdIZ5FY0wGAEVK4u8FP0/IPxzJkzKCgogFgs5n9fGxo/fjyio6NhNBqRnp6OtLQ0HDt2DMXFxfjTn/4EPz8/87lyFzHeWD4ei1/7BQXVjbh1axo+uG0i5C6cik9E1B/1ONysWLECABAREYHJkydzto6VsspNA1aj1B5WTStub7UZPXq0Q/bCclYX7sUVHByM+Ph4fPrpp6ioqMCmTZuwYMECJCQkmM/39ZDh7ZWJuOb1FBwtqMXaj9Px6vVje7XKNBER2ZfVY24aGhqwe/fuDse///57fPfddzYpyhlllZnGalizUWZJSQmys7MhCAIXSLSzIUOGYPXq1YiIiEBrayu2bduGr776Cq2t51cpjlR7YONN4+AiFvDt76V4+vtTDqyYiIguxupw8+CDD3Y6I8poNOLBBx+0SVHO6HSZqeVmuH/PN8tsb7UZMWIEB2v3AQ8PD9x0002YNm0aAODIkSN46623UFVVZT5n4lAfPHOtqUVn40+5eP9ggUNqJSKii7M63GRlZSEuLq7D8ZiYGGRnc7Gzi8kuN7XcDO9hy01lZSUyMjIAmDbIpL4hEokwY8YM3HTTTXBzc0NpaSk2btxosejf4jEhuG9WFADg4S+OY29muaPKJSKiTlgdblQqFXJzczscz87Ohru7u02Kcja6Vj3yq0zr20Spe9Zy074acXR0NPz9/e1WG3Vu2LBhWL16NcLCwtDS0oJPPvkE3333Hdra2gCY1ihaMjYYeoMR97x/FCdLNA6umIiI2lkdbhYuXIj77rsPOTk55mPZ2dl44IEHcPXVV9u0OGdhzUwprVaL06dP49ixYwCAsWPH9kWJ1AmlUokVK1aYxzsdPHgQmzdvRk1NDQRBwFNLEpA81Af1zW24ZcthlGl0Dq6YiIiAXoSbZ555Bu7u7oiJiUFERAQiIiIQGxsLHx8fPPvss/aoccBrnyk13L/7mVIpKSl4//330b5wdH5+vr3Loy6IxWLMnj0bN9xwA+RyOYqLi7Fx40acOnUKUokIG/48DsP83FFSp8MtWw6jobnN0SUTEQ16veqWSklJwTfffIO77roLDzzwAHbv3o09e/bA09PTDiUOfO0zpSLV3Y+3MRgMFs+t3B2D7GT48OFYvXo1goODodPp8OGHH2Lnzp3wkImw5eZE+HpIcaJYg3s/OIo2vaH7GxIRkd1YvbfUQOeIvaVu35qGnRllWLcgDjdPjujy3JycHLz77rsQi8VYsWIFvLy8zOuxkOO1tbXhhx9+wIEDBwAAoaGhuPbaa5FbZ8CyTQfQ3GbA8uRwPHZ1vFXrGRERUdes+fy2eiW+7nb+fuSRR6y9pdPLsmKmVGFhIQAgMjISYWE923uK+o5EIsHcuXMRFhaGL774AoWFhdi4cSOWLFmCl5aNxp3v/YqtqWcQ5u2GWy8b6uhyiYgGJavDzeeff27xvLW1FXl5eZBIJBg2bBjDzR/oWvU4Y8VMqVOnTAvDxcTE2LUuujRxcXEICAjAxx9/jNLSUvzvf//D1KlT8dDcGDzx3Sn8v29PIsTLDXNHBDi6VCKiQcfqcHP06NEOxzQaDVauXInFixfbpChnYs1MqdraWpSWlpo3J6X+zdvbG6tWrcL333+PtLQ07Nu3D+HhQ7B0bAI++rUE9310FB+qkjE61NPRpRIRDSpWDyjujFKpxGOPPYaHH37YFrdzKtbMlMrMzARgGsfBNYMGBhcXF8yfPx/XXHMNXFxccOZMPrzzdyMpzAO6VgNufecwCqsbHV0mEdGgYpNwAwB1dXWoq6uz1e2chjUzpdrDTXR0tF1rItsbOXIkbr/9dqjVajQ1NiCqfB/CFCJU1rfg5i2HUdfU2v1NiIjIJqzulnr55ZctnhuNRpSUlODdd9/FvHnzbFaYs+jpnlJNTU3mNW043mZg8vPzw6233orvvvsOR48eRVLLr6iVJCC7vB53/u8IttycCKnEZr9PEBHRRVgdbl544QWL5yKRCH5+flixYgUeeughmxXmLHo6Uyo7OxsGgwG+vr7w8fHpi9LIDqRSKRYuXIiwsDB88803mG7MwHdCLFJyqvCPz3/Hf69N4BRxIiI7szrc5OXl2aMOp2TNTCnOknIuY8aMQVBQED7++GM0ludgd2sUPj1yFmFervjLLA4WJyKyJ7aR21FPZ0q1tbUhKysLAMfbOBN/f3/cfvvtmDc6DEmSMwCA53/IwscH+QsCEZE99ajlZsmSJT2+4bZt23pdjLPp6Uyp/Px8tLS0wMPDA8HBwX1VHvUBmUyGJUuWIDz8CB774jf83uqPhz4/DnehGVclspWOiMgeehRuVCqVvetwSj2dKdXeJRUdHQ2RiI1pzkYQBIwfPx4bgoKwYtPPyNZ5YO22TDRrqrB45iSOwSEisrEehZvFixdj7ty5kEql9q7HqfRkppTRaOQU8EEiOCgInz4wHwte2I3CRgnW7S5FTenHuPHahZDL5Y4uj4jIafSomWDx4sXmNWzEYjHKy8vtWpSz6MlMqeLiYmi1Wri4uCAioutNNWng81S4Y9v9V0DtJoLWKMfGE0as37AJJSUlji6NiMhp9Cjc+Pn5mXdBNhqNbEbvAYuZUl203LS32kRGRsLFxaVPaiPH8lPI8f7qKfCQiVFuVOCrci+88cabSEtLg9FodHR5REQDXo/CzerVq7Fw4UKIxWIIgoCAgACIxeJOH2RiMVPK4+IzpTgFfHCKVCvwxvIJkIgE5Bu8cbg5EF9//TXee+895OXlQavVOrpEIqIBq0djbh599FEsW7YM2dnZuPrqq/H222/D09PTzqUNbD2ZKVVdXY3y8nIIgoCoqKi+LI/6geRhPnj6mgQ88Mkx/K4PhELQAdnZyM7ORlRUFG644Qa2khIR9UKPF/GLiYlBTEwM1q1bh+uuuw5ubm72rGvAa58pFdXFeJv2Lqnw8HD+9xykrhkXgoLqRry0OwupbUPgKrQiVFyHrKws/O9//8NVV10Fb29vR5dJRDSgWD3veN26dfwg7oH2mVJdrUzMLikCgPtmRWG42g1GCNjdGoX9LUMAQYScnBy89tpr2LdvH9ra2hxdJhHRgMFFVeyku5lSjY2NKCgoAMAp4IOdIAj477WjMdTXHYCAfKihnLAQERERaGtrw549e7BhwwbzxqpERNQ1hhs76MlMqdOnT8NoNMLf3x9eXl59WR71Q3syK5Bbafp/ps1gxMv7zkITOgmLFy+Gu7s7KisrsWXLFmzfvh2NjY0OrpaIqH9juLGDnsyU4sJ9dKEbk8Lw9b1T8MXdk7FodBAA4Lmdp/HuaeD2O+/CuHHjAADp6el49dVXkZ6ezmnjREQXYVW4aW1txcyZM82bPFLnupsp1draiuzsbAAcb0MmaqUcI4JVGBXqiReXjcG/F42ASAA+PXIWq9//HVNnzsUtt9wCtVqNxsZGbN++He+88w4qKiocXToRUb9jVbhxcXHBb7/9Zq9anIZ5MPFFxtvk5eWhtbUVSqUSgYGBfVkaDRA3TQzHWysnwF0qRmpuFRa//gvg7os77rgDs2bNgkQiQX5+PjZs2IA9e/agtbXV0SUTEfUbVndL/fnPf8Zbb71lj1qchnka+EVmSl24USbXMaGLmRGtxqd3TkKgSo7cigYseu0XpJ+tw5QpU3D33XcjKioKer0e+/btw+uvv47c3FxHl0xE1C/0eJ2bdm1tbdi8eTN++OEHjBs3Du7u7havP//88zYrbqDqaqaUwWAwj7dhlxR1JzZQie13T8aqdw7jeJEG179xEM9eNwpXjwrCDTfcgIyMDHz33Xeorq7G1q1bMXLkSMyZMwceHhdfgoCIyNlZHW6OHz+OsWPHAjDN+LkQWyG6nylVVFSEhoYGyGQyhIeH93V5NAD5K+X4+I5krPkwHbsyyvCXD46ioKoBd8+IRHx8PIYNG4Y9e/bg0KFD+P3335GVlYXZs2djzJgxEIk4Z4CIBh+rw82PP/5ojzqcRnczpdq7pKKioiCRWP2fnwYpN6kEG/48Dk9+exJv7s/DsztPI7+qEU8sHgm5XI4rr7wSo0aNwldffYXS0lJ89dVXSE9Px/z58+Hv7+/o8omI+lSvf63Lzs7G999/j6amJgDgtNRzupoppdVqceLECQCAWq3m5ohkFbFIwL/mx1nMpFqx+RDqGk2DiYODg3Hbbbdhzpw5cHFxQWFhITZu3Ihdu3ahpaXFwdUTEfUdq8NNVVUVZs6cieHDh+PKK69ESUkJAGDVqlV44IEHbF7gQNPVTKl9+/ahtrYWALBnzx6kpaX1ZWnkJDqbSVVQZVrYTywWIzk5Gffccw9iYmJgMBjwyy+/4LXXXuMSDkQ0aFgdbu6//364uLigoKDAYo+ppUuXYseOHTYtbiBqnyk1vJOZUnK53Pz3BQsWcEAx9VpnM6mOnKk2v65SqbBs2TIsW7YMSqUStbW1eO+99/Dxxx9Do9E4sHIiIvuzOtzs3LkTTz/9NEJCQiyOR0VF4cyZMzYrbKBqnynVWcvNhQOwv/rqK/P4G6LeaJ9JNSJYieqGFlz/xkF8eazY4pyYmBjcfffdSE5OhiAIyMjIwPr163Hw4EEYDAYHVU5EZF9Wh5uGhoZOdwWvrq6GTNb5VgODRXczpdrHPcydOxe33347xo8f36f1kfNpn0k1O84fLW0G/OWDo3h1T5bFGDiZTIY5c+bg9ttvR3BwMJqbm/Hdd9/hzTffNHcrExE5E6vDzWWXXYatW7eanwuCAIPBgGeeeQYzZsywaXEDTftMKU+3jjOlGhsbUVNTAwBISEhAUFAQFIrOVzAmskb7TKpbp0QAAJ7deRp/+/Q3tLRZtswEBgZi1apVuPLKKyGTyVBcXIxNmzZhx44daG5udkTpRER2YfVc5GeeeQYzZ85EWloaWlpa8Pe//x0nTpxAdXU1fvnlF3vUOGC0z5SKUnecKVVUVAQA8Pb27rTli+hStM+kCvd1x7ovjuPTI2dRVNOEDX8eB5Wbi/k8kUiExMRExMbGYseOHThx4gQOHDiAjIwMzJs3D7GxsQ78KoiIbMPqlpsRI0bg9OnTmDJlChYuXIiGhgYsWbIER48exbBhw+xR44DR1Uyps2fPAkCHsUpEttTVTKoLKRQKXHfddbjxxhvh6ekJjUaDjz76CB988AHq6uocUDkRke30ahU5lUqFf/7zn7auZcDraqYUww31lRnRanyyehJWvXPYPJPqjeXjMC7cu8O5UVFRuOuuu7Bv3z6kpKQgMzMTubm5mDFjBpKSkiAWix3wFRARXZpeLeJXU1ODZ599FqtWrcKqVavw3HPPobq6uvsLndzFZkoZDAZztxTDDfWFuKDuZ1K1k0qlmDVrFlavXo2wsDC0trZi586deOONN8yhnIhoILE63Ozbtw9DhgzByy+/jJqaGtTU1ODll19GREQE9u3bZ48aB4SuZkpVVVVBp9NBIpFwKXzqMz2ZSXUhtVqNlStX4uqrr4ZcLkdpaSnefPNNfPPNN9DpdH1cPRFR71kdbu6++24sXboUeXl52LZtG7Zt24bc3FwsW7YMd999tz1qHBC6minV/ttvcHAwm/mpT7XPpFrVzUyqdiKRCGPHjsU999yDhIQEAMDhw4fx6quv4vjx49xmhYgGBKvDTXZ2Nh544AGLD2mxWIy1a9ciOzvbpsUNJF3NlOJ4G3IksUjAw13sSdUZDw8PLFmyBMuXL4ePjw/q6+vx6aef4r333mMXNBH1e1aHm7Fjx+LkyZMdjp88eRKjRo2ySVEDEWdKUX/X05lUFxo6dChWr16N6dOnQywWIzs7G+vXr8enn36KU6dOcfNXIuqXejRb6rfffjP//S9/+QvWrFmD7OxsTJw4EQBw4MABrF+/Hk899ZR9quznyjU6HDljWqBPIZOgXKODWmnaR6q5uRnl5eUATN1SRI5kzUyqdi4uLpg+fTpGjBiBrVu3QqPR4Pjx4zh+/Di8vb2xcOFChIWFdWixJCJyFMHYg050kUgEQRC67W8XBAF6vd5mxdmDRqOBSqVCXV0dlEqlTe75wq7TeGn3+R2X18yMwv2zhwMA8vLy8M4770ClUuH++++3yfsRXaoyjQ6r3jmM40UaSCUiPHvdKFw9Kqjb67777jscPHiww/GgoCBMnDgR8fHxHFdGRHZhzed3j1pu8vLybFKYs7o8xg8v786CEcBD82JwWZSv+TV2SVF/1D6Tas2H6diVUYa/fHAUBVUNuHtGZJctMFOmTDF3P1dXVyMzMxMZGRkoLi7Gtm3bsGvXLiQmJmLcuHFciZuIHKZHLTfOxB4tN+u+OI53Us/viH5hy80HH3yAzMxMzJkzB8nJyTZ5PyJb0RuMeOLbk3hrv+kXmGvHheCJxSMhlfR8OF5DQwPS0tJw+PBh1Neb1nqSSCQYPXo0Jk6cCF9f327uQETUPZu33PxRcXEx9u/fj/LychgMllNK//KXv/TmlgPa+CFeeCf1DMK83fDajWOhVpimghuNRrbcUL/WPpNqSDd7UnXF3d0d06ZNw+TJk3H8+HEcOHAApaWlSEtLQ1paGqKiojBx4kQMHTqU43KIqE9YHW62bNmCO+64A1KpFD4+Phb/WAmCMCjDjVZnGmcUqfbAiGCV+XhtbS0aGhogEokQEBDgqPKIunXTxHCEeLninvd+Nc+k2rIyEWE+Pe9aam+tGTVqFPLz83HgwAFkZmYiKysLWVlZUKvVmDhxIkaOHAkXl54FJyKi3rA63Dz88MN45JFH8NBDD0Ek6tXuDU6nsMY0nTbUy9XieHurTWBgIP8xp36vNzOpOiMIAiIiIhAREYGqqiocPHgQR48eRXl5Ob788kv88MMPmDBhAiZMmAAPj477sBERXSqr00ljYyOWLVvGYHOBgupz4cbb8rfcwsJCAOySooHDmj2pesLHxwdXXnkl1q5di9mzZ0OlUqGxsRE//fQTXnjhBWzfvh2lpaU2/AqIiHoRblatWoVPPvnEHrUMWGfPhZsQL8tww/E2NBC1z6SaFduzPal6wtXVFZMnT8Zf/vIXXHvttQgJCYFer0d6ejo2bNiAd955B5mZmR3G8BER9YbV3VJPPvkk5s+fjx07dnTad/7888/brLiBorCmCQAQdkHLTWtrq/k3UoYbGmjcpBJsvGmceSbVsztPI7+q0eqZVH8kFosxYsQIjBgxAoWFhThw4AAyMjKQl5eHvLw8eHt7Y+LEiRg9ejSkUqkNvyIiGkx6FW6+//57REdHA0CHAcWDTUNzG6obWgAAod7nx9yUlJTAYDDA3d0dnp6eDqqOqPfMM6l83LDuyxO9mknVldDQUISGhqK2thaHDh3CkSNHUF1djW+//RZ79uzBuHHjkJiYCJVK1f3NiIguYHW4ee6557B582asXLnSDuUMPO2DiT3dXKCQn/8H/8IuqcEY+sh53JQ8BCHebuaZVFe9/DP+OicakWoPqBUy81YjveXp6YkrrrgC06ZNw7Fjx3DgwAFUV1fjl19+QUpKCuLj4zFx4kS2gBJRj1kdbmQyGSZPnmyPWgakwmpTl1Qox9uQE2ufSXXdhhScrW3CfR+lAwAWJATilRvG2uQ9ZDIZEhMTMX78eGRlZSE1NRX5+fnmfaxCQ0MxceJExMTEcIsHIuqS1eFmzZo1eOWVV/Dyyy/bo54B5/xMqc6ngTPckLOIC1Ji4eggvH+o0Hzsq99KUFGfinsvj8KkYT42aaUUiUSIjo5GdHQ0SkpKcODAARw/fhyFhYUoLCyESqVCUlISxo4dC7n80lqNiMg5WR1uDh06hD179uDrr79GfHx8hwHF27Zts1lxA0Fhe7i5oOVGo9FAo9FAEAQEBXW/GSHRQHHfrOG4ISkcxbVN+PTIWew5VY4DudU4kHsQo0M9ce/lkbg8Rm2zrtjAwEAsXrwYs2bNMm/xUFdXh507d2Lv3r0YM2YMkpKS4O1t3Vo8ROTcrA43np6eWLJkiT1qGZDOnhtzE3LBTKn2Vhu1Wg2ZTOaQuojsQa2UQ62UY0SwClfEB6C4tgmb9uXig0MFSC+sxap30hAbqMQ9MyIxd0QAxCLbhByFQoEZM2ZgypQp+P3335GamoqKigocPHgQBw8eRExMDCZOnIjw8HCOcSMibpx5Kco1Oly3MRVnqhrx2NXxmDciAGqlHDt37kRKSgrGjx+P+fPn26hyov6rQtuMN/fn4n+pZ9DQYtqOZKifO+6eHomrRwfBRWzbRT+NRiNyc3ORmpqK7Oxs8/GAgAAkJycjPj4eEkmvts4jon7Kms9vhptL8O+vTuCtX/LNz2+dEoF/zY/D5s2bUVBQgEWLFmH06NGXVjDRAFLb2IK3f8nH27/kQaNrA2Aaj7Z62jBcOy4EMontBwK3t+Ckp6ejrc30nh4eHkhMTMS4cePg7u5u8/ckor5n113BIyIiumz2zc3NtfaWA5aureNqqnq9HsXFpuXqOZiYBhtPNynunz0ct14Wgf8dKMCbP+eisLoJ//z8OF7enYXbpw7DDYlhcJXaLuT4+flh/vz5uPzyy3HkyBEcOnQIWq0We/bswb59+zBq1CgkJSVBrVbb7D2JqH+zuuXmpZdesnje2tqKo0ePYseOHfjb3/6GBx980KYF2potW272nirHyi2H4e0uxdZbEqFWyNBWX41NmzZBLpfj73//O/fgokGtqUWPDw8XYONPuSjV6AAAPu5S3DIlAsuTwy3WhrKVtrY2ZGRkIDU1FSUlJebjISEhGD58OMLCwuDj4wOFQmHz9yYi+7Fry82aNWs6Pb5+/XqkpaVZe7sBrb7F1AQe4euOEcGmVVQPnTo/BZzBhgY7V6kYN0+OwA1JYdj2axFe25uNwuom/Pf7TGz8KQcrJw3BzZMj4OVuu60WJBIJEhISMHLkSBQUFCA1NRWnTp3C2bNnzYP9vby8MHXqVERHR8PNza2bOxLRQGOzT9958+bhs88+s9XtBoSzNe0L+J1f44br2xB1JJOIcX1iGH58YDpeWDoKkWoPaHRteHlPNiY/vQdPfHsS5VqdTd9TEASEh4dj2bJlHca+1dTU4IsvvsCzzz6LrVu3Ii0tDfX19TZ9fyJyHJtNJ/j0008H3VoT5jVuOpkGznBD1JFELMLiMSFYOCoY358oxSt7spFRosGmfbnYkpKPZRNCcce0YQj2dO3+ZlaYOXMmEhMTYTQaUVNTg+LiYuTk5KCsrAy5ubnIzc3F119/jfDwcMTGxiI2NpZ7WhENYFaHmzFjxlgMKDYajSgtLUVFRQVee+01mxbX37XvBh5yruWmoaEB1dXVAIDg4GCH1UXU34lEAuaNDMTcEQH4MbMcr+7Jxq8FtdiaegbvHyzAkrHBuHN6JCJ8bTPTSaFQmMfYBAcHY8SIEQCAqqoqnDx5EhkZGSguLsaZM2dw5swZ7NixA8HBwYiLi0NsbOyg+8WNaKCzOtwsWrTI4rlIJIKfnx+mT5+OmJgYW9U1ILQv4Ne+OnFRUREAwNfXF66utv3Nk8gZCYKAy2P8MSNajdTcKry6JxspOVX4OO0sPj1yFvMTgnD3jEhEB9hn8K+Pjw+mTJmCKVOmoLa2FidPnsTJkydRUFCAoqIiFBUVYdeuXQgICEBsbCzi4uLg5+dnl1qIyHb6xTo369evx3//+1+UlpZi1KhReOWVV5CYmNjpuVu2bMHNN99scUwmk0Gn61l/va1mSxkMRsQ8sgMtbQbs+9sMhPm4maeejh49ukMIJKKeOXKmBut/zMaeU+XmY1fE+eOeyyOREOLZJzVotVqcOnUKGRkZyM/Px4X/TPr6+ppbdAICArgiMlEfsetsKVv76KOPsHbtWmzYsAFJSUl48cUXMWfOHGRmZl50XQqlUonMzEzzc0f841JZ34yWNgNEAhDoadq8r7DQtKEgx9sQ9d64cC9sXjkBx4vq8NrebHx3vBQ7M8qwM6MMU4f74d7LIzFhiH27iRQKBSZMmIAJEyagoaEBmZmZOHnyJHJyclBZWYl9+/Zh37598PLyMrfoBAUFcYYkUT/R43AjEom6DRGCIJhXCO2p559/Hrfddpu5NWbDhg345ptvsHnz5ouumSMIAgICAqx6H1srPNclFahyhYtYBIPBYO6WYrghunQjglV47cZxyC7X4rUfc/DFsWLsO12BfacrkBThjXsuj8SUSF+7/3Lj7u6OsWPHYuzYsdDpdDh9+jQyMjKQnZ2NmpoapKSkICUlBUql0jwYOSwsjEGHyIF6HG4+//zzi76WmpqKl19+GQZDxxV7u9LS0oIjR47goYceMh8TiUSYNWsWUlNTL3pdfX09wsPDYTAYMHbsWDzxxBOIj4/v9Nzm5mY0Nzebn2s0GqtqvJjCasvBxBUVFWhpaYGLiwtXQiWyoUi1As8vHY37Zg3H6z/l4NMjhTiYV42Dbx3CqFBP3DMjErNibbcTeVfkcjkSEhKQkJCAlpYWZGVl4eTJkzh9+jQ0Go15I093d3fExMQgLi4OQ4YMgVhs+20niOjiehxuFi5c2OFYZmYmHnzwQXz11Ve48cYb8fjjj1v15pWVldDr9fD397c47u/vj1OnTnV6TXR0NDZv3oyEhATU1dXh2WefxaRJk3DixIlOW0yefPJJPPbYY1bV1RPmwcTnpoG3TwEPDg7mb2xEdhDm44Ynl4zEX2ZGYuNPpp3IjxXW4rataYgJUODuGZG4cmSgzXYi745UKkV8fDzi4+PR2tqK3NxcZGRkIDMzEw0NDThy5AiOHDkCuVyOmJgYxMbGYtiwYdzQk6gP9OqnrLi4GOvWrcM777yDOXPmID093Ty10t6Sk5ORnJxsfj5p0iTExsZi48aN+Pe//93h/Iceeghr1641P9doNAgNDb3kOv7YcsP1bYj6RqDKFY9eHY+7Z0Tirf15eDc1H6dKtbj3g6N4Yddp3Dl9GBaNCbb5TuRdcXFxQXR0NKKjo6HX65GXl4eTJ0/i1KlTaGhoQHp6OtLT0yGVSjF8+HDExcUhMjISUqntVmYmovOsCjd1dXV44okn8Morr2D06NHYvXs3Lrvssl6/ua+vL8RiMcrKyiyOl5WV9XhMjYuLC8aMGYPs7OxOX5fJZJDJZL2usTPlGh1OlZq6twQAucWVyM/PBwC4ublBq9Vy3xoiO/NTyPDgvBisnjYUW1Ly8fYv+citbMDfPv0NL/6QhdXTh+G6cSGQu/Rtl5BYLEZkZCQiIyNx1VVXoaCgABkZGTh58iS0Wi2OHz+O48ePQyKRICoqCrGxsRg+fDjkcnmf1knkzHo8FfyZZ57B008/jYCAADzxxBOddlP1RlJSEhITE/HKK68AAAwGA8LCwnDPPff0aBNOvV6P+Ph4XHnllXj++ee7Pd8WU8H/83UG3tyfZ34+O8iA4Ooj5ufJycmYM2dOr+5NRL1T39yG/x04gzd/zkVlfQsAQK2Q4fapQ3FDUhjcpI7tDmqfdNC+aGBtba35NbFYjKFDhyIuLo77XRFdhDWf3z0ONyKRCK6urpg1a1aXg+O2bdtmVbEfffQRVqxYgY0bNyIxMREvvvgiPv74Y5w6dQr+/v5Yvnw5goOD8eSTTwIAHn/8cUycOBGRkZGora3Ff//7X2zfvh1HjhxBXFxct+9ni3Dz2Jcn8HZKvvn5PLUW/przY4QmTpyIuXPn9ureRHRpdK16fHioABv35aKkzrT+laerCxaMCsLMWDV8PWRQK2RQKx3XUtK+snt7i05lZaX5NUEQEBERgdjYWMTExLAVmOgcu6xzs3z5crvMRli6dCkqKirwyCOPoLS0FKNHj8aOHTvMg4wLCgosBujW1NTgtttuQ2lpKby8vDBu3DikpKT0KNjYypUjA/F2Sj5kEhE+XZ2MgowjOJxyCmFhYZg7dy7/MSJyILmLGCsnR+CGpHBs+/UsXv8pB2eqGvHugTN498AZAMCYUE88vnAERgQrHbJOliAICAwMRGBgIGbOnIny8nJzi86F+1198803CAsLMy8ayP2uiHqmX6xQ3Jds0XKz51QZbtlimqGx476p+Pzzz3Hs2DFMmzYNM2bMsHHFRHQp2vQG3PpOGvaerujwmr9Shpmx/pgVq8akYb59Pj6nM+37XZ08edK8dla7gIAAhIWFISIiAkqlEkqlkr9M0aAxoFYoHojyK03TwNs39SspKQEABAYGOqwmIuqcRCzCM9cmoFzbjNrGFhzOr8Gxwlocyq9GmaYZ7x8swPsHC+DqIsaUKF/MilVjRowaaoVjuq0u3O+qrq7O3KJTUFCA0tJSlJaW4tChQwBMkzLGjBmDkJAQBAYGcvYV0TkMN72QX9UAAAj3cUdraysqKky/ETLcEPVPaqXcPMZmSpRp40tdqx6puVXYfbIMu0+Wo6ROh10ZZdiVYZq9OTrUE7Ni1ZgZ64+YAIVDuq9UKhUmTpyIiRMnQqvV4tChQxZjdCorK7Fr1y4ApnGR/v7+CAkJMT+8vb259xUNSgw3vZBf1d5y44aysjIYjUa4ubld0kacRNS35C5izIhWY0a0Gv9eaERGiQY/ZJRj96ky/Ha2DumFtUgvrMWzO08j2NMVs2LVmBXnj6QIH0glfb9Qp0KhgEgkshh8PHToUMhkMhQWFqK+vh4lJSUoKSnB4cOHAZiWprgw7AQFBXHKOQ0KDDdWKtfocLpUCwAwGoHTeabNMgMDA/kbEtEAJQgC4oNUiA9SYc2sKJRpdNh9shy7T5Zhf3Ylimqb8E7qGbyTegYeMgmmDvfFrFh/zIhWw8u977qCxo8fj+joaPNzhUIBhUIBo9EIjUaDwsJCnD17FmfPnkVJSQkaGxtx+vRpnD592nyNWq22CDy+vr5cVZ2cDgcUW+nxL09g8wXTwG8OqYKxMhdTpkzBrFmzbFgpEfUHTS167M+uxO6TZfjhZDkq68/vVScSTLuYz4r1x8xYfwzzc+83v+S0tbWhtLTUHHbOnj1rsbZOO5lMZhF2goODuc4O9UscUGxHjS16i+f6+kqIYNpQjysTEzkfV6kYs+P8MTvOHwaDEb8V1eGHjDL8cLIMp0q1OJxfg8P5NXjyu1MY4uNmDjoThnhB0odbQPyRRCIxB5Z2Wq3WIuwUFxejubkZOTk5yMnJMZ/n4+NjEXjUajU3/6QBhS03Vtp1ohS3vXsE/koZVkW1ouj4QbT/osaViYkGl7M1jdh9shw/nCzDgdwqtOrP/3OqlEswI8Y0IHnacD+oXF0cWGnn9Ho9ysvLLQJPVVVVh/NcXFwQFBSE0NBQc+Dx8PBwQMU0mLHlxo50bQYAQLi3O/wkpSi+oAV6kOVEokEvxMsNKyYNwYpJQ6DVteLnrEr8cLIMP54qR01jK75IL8YX6cWQiAQkRnib19QJ93F3dOkATNs+tC8mOGHCBABAY2OjRdgpKipCc3Mzzpw5gzNnzpiv9fT0tGjdCQgI4I7n1G+w5cZKm/bl4IlvT2Hh6CCsjAa++OIL+Pj44JprrjEP7iOiwU1vMOLXghr8cG6aeXZ5vcXrUWoPzIz1x+w4NUaHekEs6h/jdDpjMBhQWVlpEXjKy8s7nNcelC5s3VEqHbMCNDknttzYUXGtaa+aAJUc9fWmKZlBQUEICgpyZFlE1I+IRQImDPHGhCHeeGheLPIrG/DDSdM4ncP5Ncgqr0dWeT02/JQDb3cpLo9RY1asGpdF+cFd1r/+WRaJRFCr1VCr1Rg7diwAQKfToaioyCLwNDU1mf/eTqFQdJiK7uLS/7rnyPmw5cYK5Rod7vsoHSk5Vbhj6lCEa4/j9MkTmDlzJi677DI7VUxEzqSusRV7T5fjh5Pl2JtZDq2uzfyaVCxC8jAf8+KBQZ6uDqy054xGI6qrqy3CTmlpaYeu+vaFBi9s3fHy8mLrDvWIXXYFdxaXEm5e2HUaL+3OMj+/xScbhoYaLFu2DDExMbYulYicXKvegMP51ebFA8+cWyC0XVyg0hx0RgarIOrH3Vd/1NLSguLiYovAU19f3+G8Py40GBwcDJlM5oCKqb9juOnCpYSbjOI6/GnjAdQ3t+GeGcPQdOhT6PVtuPfee+Hj42OnioloMDAajcgur8cP5xYP/LWgBoYL/nVWK2SYNMwHI0NUGBXiCbmLGGqFzLytRH9nNBpRV1dnEXZKSkqg1+s7nOvp6QkvLy/zdhJ+fn7w8fHhgOVBjuGmC5cSbp7ZcQqv7TWtBeEOHa6T/w6xWIx//vOfXOGTiGyqqr4ZP2ZWYPfJMuw7XYGGlo4hYESwEtcnhiE+SIWYAEW/2NXcGm1tbSgpKTGHnezsbDQ3N3d6riAI8Pb2hp+fn/nh6+sLX19fbhg6SDDcdOFSws3B3Cos3XQAblIxXpijRuquL+Hv748777zTTtUSEQHNbXocyK3GJ2mF+DmrEnVNrR3OEYsEDPNzP7eNhBLxQSrEBSn75fo6F7Njxw4cOHDA/NzPzw9yuRzl5eUXDT2AqaXnwtDT/mD3lnPhbCk7aWw1/eYU5u0Gd6Opb9zPz8+RJRHRICCTiDFtuB9+PVODr38rMR8fH+4FV6kYGcUaVDW04HRZPU6X1ePzo0Xmc0K9XREfeC7wBJtCj1oh65eDeCdPnoyEhATz8wv3zqqvr0dFRYXFo7y8HE1NTaitrUVtbS2ysrIs7qdUKjsNPa6uA2OgNvUew00PlWt0OJxXDQBQurqgsNj0jwfDDRH1lRuTwjA7zt/8vH3MjdFoRJmmGSeK63CiWGP+82xNEwqrTY8dJ0rN1/l6SBEXpMKIcy088UFKhHm7OXzA8sXWChMEwfza0KFDLV5raGjoEHoqKipQX18PjUYDjUZjsbUEAHh4eHQaetzd+8fiinTp2C3VQ//5OgNv7s8zP/+z8hQkLVokJSVh9OjRCAwMtEe5RES9VtvYgoxijUXgyamotxio3M5DJkFcoBJxQUpzt1aUvwdcHLg/1qVobGxEZWVlh9Cj0Wgueo2bm1unocfDw6NftnQNNhxz0wXbhBsjbpIdgVgw/acLDw/HzTffbIdqiYhsq6lFj1Ol7YHHFHpOlWrRcm5rmQtJxSJEByjOhR0l4oJUiA1UwE06cBv9dTpdp6Gnsx3T28nl8k5DD1dg7lsMN13obbgp1+hwyzuHcbxIg5vHeMJ4chfEYjGuvvpqqNVqttwQ0YDVqjcgp6IeJ4rOB56MYg20zW0dzhUJQITv+YHLI4JNf3q6DewZSy0tLZ2GnpqamovuGyiVSjsNPSqVijNo7YADiu2kqr4FAOAlA6oBBAQEYNSoUY4tiojoErmIRYgJUCImQIlrxpmOGY1GFFY34Xhx3QVjeTSo0DYjp6IBORUN+PJYsfkewZ6uFl1a8UFKBKrkA6ZlQyqVdrqVTmtrK6qqqjqEnurqarS0tKCoqAhFRUUW10gkEvj6+nYIPV5eXhCLB9Z0/YGKLTc99O+vTuCtX/IBAHHiEiS6nMXYsWNx9dVX26lSIqL+p1yrw4lizbmxPKbQ88eVldt5u0sRF3h+llZ8kBIRPu4OH7hsC21tbaiuru4QeqqqqjpdmBAwbS7q4+PTIfR4e3tzgcIeYMuNHTS1nu+PVgumJcT9/f0vdjoRkVNSK+RQR8sxI1ptPqbRtVoMXM4o1iCrvB7VDS3Yn12J/dmV5nPdpGLEBirN43jig1QY7q+AVDKwunEkEol5Q9EL6fV61NTUoKKiokM3V1tbG8rLyzvsqi4IAlxdXeHm5gZPT08EBARApVKZH0qlEnL5wGkF6w8YbnpofLgn3j9UAJWrBMOkLdA3m/7n1mq1nU5dJCIaLJRyF0wc6oOJQ89vQ6Nr1eN0mRYnijU4XmRq4TlVqkFjix5HztTgyJka87kuYgFRagWG+bkjyNMV4T5u8FfKERuoQJCnmyO+pF4Ti8XmlZMvZDAYUFdX16Glp7i4GEajEY2NjeYZXtnZ2R3uK5VKOwSePz5n68957JbqoZvfPoQfMysgwIgV8jTz8eTkZMyZM8cepRIROZU2vQF5lQ0WU9NPFGs6XXEZAAQBCPFyRaiXG0K93Ex/93ZDqLfpmF8/XYzQGsXFxSgoKEBTUxMaGxshEolgMBig0WhQV1eHuro6NDU19eheHh4eHULPhUHI3d19QA90ZreUHdSfmzXgAtOfLUYRpILhoqPoiYjIkkQsQpS/AlH+CiwaEwzANHD5bE0TThRrsPGnHBwtrDWfbzTCvAghUNXhfjKJCMHt4ce7/U83cyDydHPp9+Gns0HMf9TS0oK6ujqLwNP+aD/W1taG+vp61NfXo7i4uNP7iMVic9C5WAiSywfGRqzdYbjpgXKNDp5upv1ZxgbIgFogyF+NJYuuZpcUEdElEAThXGuMG8aGeaJca9pDymA0QoBpvGNhdaNpteWaRvPfS+qa0NxmQG5FA3IrGjq9t4dMYm7tMbcAXdDy4y4bGB+BF04570x7t9YfA8+Fj/r6evN4oJqamk7vAwAymeyiLT8qlQoKhWJAdH/1/wr7gfcOFmBXhmkA2NnyKsRIgfDQ4G7TNhER9ZxaKYda2bHlIDHCu8OxVr0BJbU6c+Ax/dmEszWNKKxpQoW2GfXNbThVqsWpUm2n7+fl5mIKO15uCDkXeNrDULCn64DZZV0QBLi7u8Pd3f2in0t6vR5arbbTVp/2h06nQ3Nzc6eDni+kUCi67f5ydIsZw00PzIn3x2e/nsXZmibEqwxAE+Di4sLBxEREDuIiFiHMxw1hPp0PONa16k1B54LAc2EIqmtqRU1jK2oa6/Db2bpO7+GvlCHEyw2h7WN9LghBgSo5JANoawqxWAxPT094enpe9Jzm5uYuu77q6urMIUmr1XZY3+fC9+pu8LO9d2xnuOmB70+U4WyNaUBXk7YGkAAHDhyAIAgcTExE1A/JXcSIVCsQqe78F1CNrhVnqy27utrDUGFNIxpb9CjTNKNM02wxs6udWCQgUCU3j/cJ+cO4Hz8P2YBbz0cmk3Xb/dXQ0NDl+B+tVgu9Xo/q6mpUV1df9L3kcrk57Li6ukImk8Hd3R2urq7w9fWFWq2Gm5tbrwdAM9z0wKxYNV7ekwWjEVCL6s3HOZiYiGhgUspdEBfkgrigjrNujEYjqhtaUPiHwNMegopqmtCiN5wLRE1Ize14f6lEhBBPV4R4n2/5uXDcj9cAGOz8R4IgwMPDAx4eHggODu70nLa2tm67v5qbm6HT6aDT6VBWVtbl+7m5uZnf05qgw3DTA+8fLIApxxjhJrTCCAG33boKKpXK0aUREZGNCYIAHw8ZfDxkGB3q2eF1g8GIcm3z+fE+5q4v099L6prQ0mZAbmUDcis7H+zsLhWbWngUMni6ucDHXQaVqwuG+LhhmNoDvh4y+HhIIZMMjHE/7SQSCby8vODl5XXRc3Q6nUXgOXr0qEUXl0QiQVtbm7mlqKGhAWVlZWhubu55HZf0VQwS7WswiGGASAAgc0dISIhjiyIiIocQiQQEqOQIUMkxYcjFBztfGHgubPkp1zajoUXf5WDndgq5BH4eMnPYufBP0+P8MQ+ZZEC0BsnlcsjlcvPqztHR0dBqz/93UCgUcHNzQ2NjI+rr69HQ0ID6+nqUlZXhqaee6tF7MNz0QISvOwAgTCECWgFvTyUHExMRUad6NtjZFHje2JeLlJzza/j4uEshEQuoqm9Bm8EIra4NWl3bRVuALiSTiDoEHt8LgpHfudYoXw8pvNyk/WZMkEKh6PTz9I/HNRpNj+/JcNMD+7IqAAAN9fWADDhZrEFKSgoHExMRkdVMg509EKn2QHyg0ry2DwCoFTKolXIYDEZodK2orG9GhbYFVQ3NqNQ2o6qhxfJYfTOq6lvQ2KJHc5sBRbVNKKrtfkVjkQB4u58PQucD0YXHZPBVSOHtPgC7xxxdwEBQ32za4dVTMP0P02iUWNX3R0RE1JmLre0jEgnwdJPC002KSHUnF/5BY0sbKrUtqLwwBGlN4afy3N/bg1FtYysMRpheq28G0HXXGAAo5RKLwOPjbtlV5td+TCGDu1Ts8O4xhptulGt0aG+5CxCZmsQCxVqHf+OIiIjauUklCPORXLQr7EKtegOqG1pQ8YcQZP67OQw1m7vHNLo2aHrYPSZ3EZmDjq+71DIQtR9TmMKRp6uLXbrHGG66sWlfLnLOLe2tELUAAOSCHi4uLo4si4iIqFdcxCL4K+Xw76TF6I8MBiPqmlpR1WDZPVZZ32J5rL4ZldoWNLXqoWvtefeYWCTA09UFCrkESlcXeMgk8PGQwl8hh9LVBcpzx5VyF4jaeraBKMBw0y294fxaNh5CM/RiOa5beOVFFzkiIiJyFiKRAC93Kbzce9c9Vlnfgqp6y+6x9lai2sZW6A1GVDW0oKqhpdt7G5obe1w3w003pkT64O2UfIgFI+RoQ2ubAdu2bUNycjICAwMdXR4REVG/YU33WEubATWNLXjy25PYnn5+J/Px4V4YF+4Fja4Vmqa2c3+2oqrGiMIe1sFw042vfy8FAEiMbRAEoE4vh5+4kasTExERXQKpxNQ99o8rY3HrZUPNx9tnjP2RRqOB6pGe3ZvhphsRvqb06Sa0mv8cO3YsJk+e7MiyiIiInMLFZoxdioGzpamDpOaYNv7yEExTv8VBMZgwYQIX8CMiIuqnGG66UK7RwVVq+k/kdW6NG2PJSRw7dsyRZREREVEXGG66sGlfLvacMq1O7Ca0QG8U4Cq0obW11cGVERER0cUw3PSAl9CAQJEWOqNpiBIHExMREfVfDDdduH3qUHx97xTcEFwHlUgHmdAGAFydmIiIqB9juOmCWinHiGAV3EWmbiiJYGqx4erERERE/RengndDqz2/odj48eMRExMDf39/B1ZEREREXWG46UZKSgrKy8sBAGlpaXBxcUFkZKSDqyIiIqKLYbdUN+rr6y2eNzc3O6gSIiIi6gmGm27odDqL5xxMTERE1L8x3HSjra3N4jkHExMREfVvHHPTBa1WC1dXVwDAsGHDkJyczMHERERE/RxbbrqQkpKCjIwMAEBOTg5ycnK4pxQREVE/x3DThT+uRMyViYmIiPo/dkt1YfLkyUhISDA/Z6sNERFR/8dw0wWFQsFAQ0RENMCwW4qIiIicCsMNERERORWGGyIiInIqDDdERETkVBhuiIiIyKkw3BAREZFTYbghIiIip8JwQ0RERE6F4YaIiIicCsMNERERORWGGyIiInIqDDdERETkVBhuiIiIyKkw3BAREZFTYbghIiIip8JwQ0RERE6F4YaIiIicCsMNERERORWGGyIiInIqDDdERETkVBhuiIiIyKkw3BAREZFTYbghIiIip8JwQ0RERE6F4YaIiIicCsMNERERORWGGyIiInIqDDdERETkVBhuiIiIyKkw3BAREZFTYbghIiIip8JwQ0RERE6F4YaIiIicCsMNERERORWGGyIiInIqDDdERETkVBhuiIiIyKkw3BAREZFTYbghIiIip8JwQ0RERE6F4YaIiIicCsMNERERORWGGyIiInIq/SLcrF+/HkOGDIFcLkdSUhIOHTrU5fmffPIJYmJiIJfLMXLkSHz77bd9VCkRERH1dw4PNx999BHWrl2LdevW4ddff8WoUaMwZ84clJeXd3p+SkoKrr/+eqxatQpHjx7FokWLsGjRIhw/fryPKyciIqL+SDAajUZHFpCUlIQJEybg1VdfBQAYDAaEhobi3nvvxYMPPtjh/KVLl6KhoQFff/21+djEiRMxevRobNiwodv302g0UKlUqKurg1KptN0XQkRERHZjzee3Q1tuWlpacOTIEcyaNct8TCQSYdasWUhNTe30mtTUVIvzAWDOnDkXPb+5uRkajcbiQURERM7LoeGmsrISer0e/v7+Fsf9/f1RWlra6TWlpaVWnf/kk09CpVKZH6GhobYpnoiIiPolh4+5sbeHHnoIdXV15kdhYaGjSyIiIiI7kjjyzX19fSEWi1FWVmZxvKysDAEBAZ1eExAQYNX5MpkMMpnMNgUTERFRv+fQlhupVIpx48Zh9+7d5mMGgwG7d+9GcnJyp9ckJydbnA8Au3btuuj5RERENLg4tOUGANauXYsVK1Zg/PjxSExMxIsvvoiGhgbcfPPNAIDly5cjODgYTz75JABgzZo1mDZtGp577jlcddVV+PDDD5GWloZNmzY58ssgIiKifsLh4Wbp0qWoqKjAI488gtLSUowePRo7duwwDxouKCiASHS+gWnSpEl4//338a9//Qv/+Mc/EBUVhe3bt2PEiBGO+hKIiIioH3H4Ojd9jevcEBERDTwDZp0bIiIiIltjuCEiIiKnwnBDRERETsXhA4r7WvsQI27DQERENHC0f273ZKjwoAs3Wq0WALgNAxER0QCk1WqhUqm6PGfQzZYyGAwoLi6GQqGAIAjdnq/RaBAaGorCwkLOrnJS/B47P36PnR+/x87PaDRCq9UiKCjIYomYzgy6lhuRSISQkBCrr1MqlfyBcXL8Hjs/fo+dH7/Hzq27Fpt2HFBMREREToXhhoiIiJwKw003ZDIZ1q1bx53FnRi/x86P32Pnx+8xXWjQDSgmIiIi58aWGyIiInIqDDdERETkVBhuiIiIyKkw3BAREZFTYbjpxvr16zFkyBDI5XIkJSXh0KFDji6JbOTRRx+FIAgWj5iYGEeXRZdg3759WLBgAYKCgiAIArZv327xutFoxCOPPILAwEC4urpi1qxZyMrKckyx1CvdfY9XrlzZ4ed67ty5jimWHIbhpgsfffQR1q5di3Xr1uHXX3/FqFGjMGfOHJSXlzu6NLKR+Ph4lJSUmB/79+93dEl0CRoaGjBq1CisX7++09efeeYZvPzyy9iwYQMOHjwId3d3zJkzBzqdro8rpd7q7nsMAHPnzrX4uf7ggw/6sELqDwbd9gvWeP7553Hbbbfh5ptvBgBs2LAB33zzDTZv3owHH3zQwdWRLUgkEgQEBDi6DLKRefPmYd68eZ2+ZjQa8eKLL+Jf//oXFi5cCADYunUr/P39sX37dixbtqwvS6Ve6up73E4mk/HnepBjy81FtLS04MiRI5g1a5b5mEgkwqxZs5CamurAysiWsrKyEBQUhKFDh+LGG29EQUGBo0siO8nLy0NpaanFz7RKpUJSUhJ/pp3M3r17oVarER0djTvvvBNVVVWOLon6GMPNRVRWVkKv18Pf39/iuL+/P0pLSx1UFdlSUlIStmzZgh07duD1119HXl4eLrvsMmi1WkeXRnbQ/nPLn2nnNnfuXGzduhW7d+/G008/jZ9++gnz5s2DXq93dGnUh9gtRYPWhU3bCQkJSEpKQnh4OD7++GOsWrXKgZURUW9d2L04cuRIJCQkYNiwYdi7dy9mzpzpwMqoL7Hl5iJ8fX0hFotRVlZmcbysrIx9uU7K09MTw4cPR3Z2tqNLITto/7nlz/TgMnToUPj6+vLnepBhuLkIqVSKcePGYffu3eZjBoMBu3fvRnJysgMrI3upr69HTk4OAgMDHV0K2UFERAQCAgIsfqY1Gg0OHjzIn2kndvbsWVRVVfHnepBht1QX1q5dixUrVmD8+PFITEzEiy++iIaGBvPsKRrY/vrXv2LBggUIDw9HcXEx1q1bB7FYjOuvv97RpVEv1dfXW/yGnpeXh/T0dHh7eyMsLAz33Xcf/vOf/yAqKgoRERF4+OGHERQUhEWLFjmuaLJKV99jb29vPPbYY7jmmmsQEBCAnJwc/P3vf0dkZCTmzJnjwKqpzxmpS6+88ooxLCzMKJVKjYmJicYDBw44uiSykaVLlxoDAwONUqnUGBwcbFy6dKkxOzvb0WXRJfjxxx+NADo8VqxYYTQajUaDwWB8+OGHjf7+/kaZTGacOXOmMTMz07FFk1W6+h43NjYar7jiCqOfn5/RxcXFGB4ebrztttuMpaWlji6b+phgNBqNjgpWRERERLbGMTdERETkVBhuiIiIyKkw3BAREZFTYbghIiIip8JwQ0RERE6F4YaIiIicCsMNERERORWGGyIiInIqDDdERETkVBhuiIiIyKkw3BAREZFTYbghIiIip/L/AccjzcYtVGOFAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.errorbar(\n",
    "    times, VarN_indep_mean, yerr=VarN_indep_var,\n",
    "    fmt='-', markersize=8,\n",
    "    color='#7f7f7f',\n",
    "    elinewidth=0.8, capsize=1.5,\n",
    "    label='indep'\n",
    ")\n",
    "\n",
    "plt.errorbar(\n",
    "    times, VarN_mean, yerr=VarN_var,\n",
    "    fmt='-', markersize=8,\n",
    "    color='C0',\n",
    "    elinewidth=0.8, capsize=1.5,\n",
    "    label='full'\n",
    ")\n",
    "\n",
    "plt.xlim(-0.5,20)\n",
    "plt.ylim(-0.05, 1.6)\n",
    "plt.ylabel('Number fluctuation')\n",
    "plt.yticks([0, 0.5, 1.0, 1.5])\n",
    "plt.xticks([0, 5, 10, 15])\n",
    "plt.legend(loc='best', frameon=False)\n",
    "plt.grid(False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "4abee10f-9d4a-4ead-9070-a76bae64efe6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(\n",
    "    times, VarN_mean/VarN_indep_mean\n",
    ")\n",
    "\n",
    "plt.xscale('log')\n",
    "plt.ylabel(r'Squeezing $\\xi^2_N$')\n",
    "plt.grid(False)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9ec6c9c1-e942-4355-9c1d-d63d8a1f40c5",
   "metadata": {},
   "source": [
    "# Fig.4 (g) - (h), Load Data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b0dfc0c6-4324-4ddd-a957-d2e1f5619fde",
   "metadata": {},
   "source": [
    "Load decay rate from Fig_4_gh_data.npz\n",
    "- times: times point for decay rate calculation with Local linear regression and Three-point finite difference, unit ($\\mu$s), shape: (index_times,) = (33,).\n",
    "- population: qubit average population v.s times,from 4 states, shape: (index_state, index_times,) = (4, 33,).\n",
    "- emission_rate_mean: averaged emission rate dN/dt from 4 states, unit (2$\\pi\\times$ KHz), shape: (index_state, index_times,) = (4, 33,).\n",
    "- emission_rate_var: uncertainty (1$\\sigma$) of emission rate dN/dt from 4 states, unit (2$\\pi\\times$ KHz), shape: (index_state, index_times,) = (4, 33,).\n",
    "- decay_rate_mean: averaged normalized decay rate dN/dt/N from 4 states, unit (2$\\pi\\times$ KHz), shape: (index_state, index_times,) = (4, 33,).\n",
    "- decay_rate_var: uncertainty (1$\\sigma$) of normalized decay rate dN/dt/N from 4 states, unit (2$\\pi\\times$ KHz), shape: (index_state, index_times,) = (4, 33,)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "c91a3cc7-1cd8-4cb8-915c-812b3c18f888",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dataset for Fig.4 (g) - (h), Programmable Superradiance in an Interacting Qubit Array, MaLab, arXiv: 2605.12442\n",
      "['times', 'population', 'emission_rate_mean', 'emission_rate_var', 'decay_rate_mean', 'decay_rate_var', 'note']\n"
     ]
    }
   ],
   "source": [
    "infile = 'data/Fig_4_gh_data.npz'\n",
    "exp_data = np.load(infile)\n",
    "print(exp_data['note'])\n",
    "print(exp_data.files)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "62e3a60b-60c8-4ae4-9404-aea0ea662e49",
   "metadata": {},
   "outputs": [],
   "source": [
    "times = exp_data['times']\n",
    "population = exp_data['population']\n",
    "\n",
    "emission_rate_mean = exp_data['emission_rate_mean']\n",
    "emission_rate_var = exp_data['emission_rate_var']\n",
    "decay_rate_mean = exp_data['decay_rate_mean']\n",
    "decay_rate_var = exp_data['decay_rate_var']"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2756ddf5-98be-4c89-a88a-75560da41fd6",
   "metadata": {},
   "source": [
    "## Plot Fig.4. (g)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "dee62667-74fa-4e8e-b68c-df9f9b48bc82",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1f70b037c40>"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1600x1200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1,  dpi=250)\n",
    "\n",
    "for ii, N_init in enumerate([4,3,2,1]):\n",
    "    ax.errorbar(times, emission_rate_mean[ii], emission_rate_var[ii],\n",
    "                elinewidth=0.8,\n",
    "                capsize=0,\n",
    "                label=fr\"$N_0={N_init}$\")\n",
    "\n",
    "\n",
    "ax.set_xscale('log')\n",
    "ax.set_xlim([0.04, 100])\n",
    "ax.set_ylim(-10,170)\n",
    "ax.set_xlabel(r'Time ($\\mu$s)')\n",
    "plt.ylabel(r'$R(t)$ ($2\\pi\\times$kHz)')\n",
    "plt.title('Emission rate')\n",
    "ax.legend(frameon=False, fontsize=7)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e3ce12e9-e668-4d59-96ec-bc672df3d5bb",
   "metadata": {},
   "source": [
    "## Plot Fig.4. (h)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "d1df1b33-554f-41f3-a570-575b02147796",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x1f70b2b4af0>"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x1200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 1, dpi=250)\n",
    "\n",
    "for ii, N_init in enumerate([4,3,2,1]):\n",
    "\n",
    "    ax.plot(population[ii], decay_rate_mean[ii], '-', linewidth=1.0,\n",
    "            label=fr\"$N_0={N_init}$\")\n",
    "\n",
    "    ax.fill_between(population[ii], decay_rate_mean[ii] - decay_rate_var[ii], decay_rate_mean[ii] + decay_rate_var[ii], alpha=0.3)\n",
    "\n",
    "ax.set_xlim(1, 0)\n",
    "ax.set_ylim(-5, 100)\n",
    "ax.set_xlabel('Population per qubit')\n",
    "ax.set_ylabel(r'$\\Gamma(t)$ ($2\\pi\\times$kHz)')\n",
    "ax.set_title('Normalized decay rate')\n",
    "ax.legend(frameon=False, fontsize=7)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5ffe802c-13cc-4089-8255-4396fc51dfa7",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.19"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
