retrive_ibmq_results.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "pycharm": {
     "name": "#%% md\n"
    }
   },
   "source": [
    "# Retrieve QASVM on IBMQ devices (montreal, toronto)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    },
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "from pathlib import Path\n",
    "home = Path.home()\n",
    "\n",
    "# TODO: choose config\n",
    "DATA_TYPE = 'balanced' # 'unbalanced'\n",
    "DEVICE = 'montreal' # 'toronto'\n",
    "TEST_SIZE = 4\n",
    "MAXITER = 5\n",
    "LAST_AVG = 2**4\n",
    "DIR_NAME = 'ibmq_run_device_2'\n",
    "\n",
    "C=None\n",
    "k=1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "import dill\n",
    "from pathlib import Path\n",
    "import json\n",
    "from classifiers.quantum import Qasvm_Mapping_4x2\n",
    "\n",
    "model_dir = Path(f'./{DIR_NAME}/{DATA_TYPE}/{DEVICE}/')\n",
    "\n",
    "with open(model_dir / 'exact_qasvm', 'rb') as f:\n",
    "    exact_qasvm = dill.load(f)\n",
    "with open(model_dir / 'exact_storage', 'rb') as f:\n",
    "    exact_storage = dill.load(f)\n",
    "exact_fvec = np.load(model_dir / 'exact_fvec.npy')\n",
    "\n",
    "with open(model_dir / 'real_qasvm', 'rb') as f:\n",
    "    real_qasvm = dill.load(f)\n",
    "backend = real_qasvm.quantum_instance.backend\n",
    "with open(model_dir / 'real_storage', 'rb') as f:\n",
    "    real_storage = dill.load(f)\n",
    "real_fvec = np.load(model_dir / 'real_fvec.npy')\n",
    "\n",
    "with open(model_dir / 'sim_qasvm', 'rb') as f:\n",
    "    sim_qasvm = dill.load(f)\n",
    "with open(model_dir / 'sim_storage', 'rb') as f:\n",
    "    sim_storage = dill.load(f)\n",
    "sim_fvec = np.load(model_dir / 'sim_fvec.npy')\n",
    "\n",
    "with open(model_dir / 'svm', 'rb') as f:\n",
    "    svm = dill.load(f)\n",
    "svm_fvec = np.load(model_dir / 'svm_fvec.npy')\n",
    "\n",
    "with open(model_dir / 'uniform_qasvm', 'rb') as f:\n",
    "    uniform_qasvm = dill.load(f)\n",
    "uniform_fvec = np.load(model_dir / 'uniform_fvec.npy')\n",
    "\n",
    "with open(model_dir / 'stc_qasvm', 'rb') as f:\n",
    "    stc_qasvm = dill.load(f)\n",
    "with open(model_dir / 'stc_storage', 'rb') as f:\n",
    "    stc_storage = dill.load(f)\n",
    "stc_fvec = np.load(model_dir / 'stc_fvec.npy')\n",
    "\n",
    "X = np.load(model_dir / 'X.npy')\n",
    "y = np.load(model_dir / 'y.npy')\n",
    "Xt = np.load(model_dir / 'Xt.npy')\n",
    "yt = np.load(model_dir / 'yt.npy')\n",
    "Xtt = np.load(model_dir / 'Xtt.npy')\n",
    "ytt = np.load(model_dir / 'ytt.npy')\n",
    "\n",
    "# Unknown bug fix\n",
    "if len(exact_fvec) != len(yt):\n",
    "    exact_fvec = exact_fvec[4:]\n",
    "if len(sim_fvec) != len(yt):\n",
    "    sim_fvec = sim_fvec[4:]\n",
    "if len(real_fvec) != len(yt):\n",
    "    real_fvec = real_fvec[4:]\n",
    "if len(uniform_fvec) != len(yt):\n",
    "    uniform_fvec = uniform_fvec[4:]\n",
    "if len(stc_storage) != len(yt):\n",
    "    stc_storage = stc_storage[4:]\n",
    "if len(svm_fvec) != len(ytt):\n",
    "    svm_fvec = svm_fvec[4:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 432x288 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with open(model_dir / 'layout.json', 'r') as f:\n",
    "    layout = Qasvm_Mapping_4x2(backend, **json.load(f))\n",
    "\n",
    "ax = layout.plot('physical')\n",
    "ax.savefig(home / f'Desktop/{DEVICE}/layout.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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ACLCwv59O4QH9jg8JkHp7sT/8Ydz77iPyyU8i2TbFd70L+7rriAqxrLCXM2o1DMMIbvJYLEbcp8jJcvDrhGVGfE8ph7ZTLJVwHIeYpqHFYjzyyCO4rsuVV16JIsuYlgUQrN/8dWA8kUCSZSqikyWdTqMqCrFYjGw6TbvjUCiVKJVKHB0aQotEaGtrI5VIIEsSzuRBBcwlH1Lob1lRiKoq0VgMXJf0ZZdx18AA8y6+mLSiMB6JkIjFMBSF0be/nfwrX4nV00PatqFUQq9WGR0cJDcxwYKFC+np6/OojL+HOGOcIei6zp7du8mNjZGOx1m8YAGRaDQwmLrEzvAw6re+hfzwwzhnnYVpWbi/+Q1t27YhvfnN2AsWoBsGtVotuJEjkYgXrqpqEKb6rV2NCO/LFcdW1XUkWSadSqGqKlu2bsW2bS7buBFJlCIs0amiiIysX4aRRCZZkiRKlQrlSiVoFbNdFzUapbO9nWwmQ7FUolgsMjwywpiikM1mSSYSAY/XEQ+NgBMcPu6wp5MkFFVl0aWXcuDAAS697DLijoOpKJRKJWRZJpbNEhXXJp1KUSgWsWwb2TTZv3cvhUKBZStWTCaLbrkFfk/qpL/XxSUfjuMwNDTEk1u2UBobo7+zkxVLlxKJRnEdx/Nc4bBuYIDYm94EmobxzW/inn8+peXLMT/5SeylSzE/8hHyjz1GtVpFkiQSiQTtbW1eWSUSCW5gSZI8ryBJwU3v3/D+v23bJl8oUKlWiagqmXQaNRLhqV27yOdyXHLJJYFhApi2jawodXVDSRy/67pEo1ESmoZhGFR13Xvd7wXFYyFlMxnmz5tHZ2cniqIwNjbG4aNHmcjlMC3LYzcJo5TFsU+3/pGABQsXUhU1YePtb8e8+WYvCaUoVHWdfD5PsVTCtu3gIVCr1YjFYgwPDLDjjjsoFovNd3DkiNde9zzE773n1HWdQwcPUpyYQLZtFi1YQDab9WqBtu2FdI3r8v5+jH/9V+jvRwJqkkRJVT0y+stehnzFFWg9PUQ1bbJrxPcoTdb4vpeTARsCj2kYBpVqFVyXZDJJTCRrDu7fz+HDh7n66quDzhEftm0TbVKS8BM8kiShaRq246DrOmatRjwer2s78z1jJpUik0pRrlTI5fOMjY8zOj5OR3s7yUQC2/eaofNr9KQAiiyzcuVK9uzezSWXXOJ5zGiUaCSCLZhUhmFQM01cxyEWi2HUaui6TjaXo/v97+f4tdfScfPNdE/+cPCFL8Df/R3cfvvzsk76e22cuVyOQwcO4BgGiWiUrMgU+t5EbmJQfohIfz/gGfe4LGPLMql4nLimEW1vr1ujSQ3bCN4Sf0uShKwo2I4DIklUrlQwBe0vlUwGFLuBgQF27trFVVddVZfRdMGrT4oEUyMkwA2FnIl4HFyXYrGIZpp125JFyB18NpEgGotRLBbJ5XKMjY1RLJXo6OggqqqBVw4fi79OlVwXJIklS5awe9cuioUC6dCaXJUkFNFZ4/OE/WSX7TgU2tqQvv51ot/9LubLXkYlkyFuWUjr18PZZ8Mjj8CaNdP+xs9l/N4a58TEBEf27ycKaKkUaiRCJp0Oso512VLwjEuSPMN0XXTDoFqtelnJa67xanTJJK4k4YgwcjryQRjhZIokbvJ8oYDrOCQSCWKxWOCVxicm2Lx5M5dfdhmpVKru+CS8eizQ1DjD+/IOywu3I6pKuVQioWl1JAB/TWwJGRRcl0QigaZpFAsF8oUCA8ePk8lmyabTU6ab+dGGT26QJIlly5axZ88eLrjwwvrjEp43qqqomUywvjYti7JhoGazmO99L+X77kP7278lMTaG8YUvEPvgB2e8ts91/F6uOcfGxji6fz9RSaI9myXy3/9N+ze+MZkVbPACruCNgucpJ3I5SpUKsqKgaRqJRIJ4PI7rk8CbhHZ12/PXnA3vGbUaxVIJRZZpa2vzwk1hJMVikQc3beLCDRto7+io+54kjteyrMl1bAuQJIlUKoUsyiq2UF1whFH6iSxJrCtBrEnb2ujv7yeVTFIsFDg2OOiF39NAFsa3YOFCjg8MBCWkuljCz0wDkWiUTDpNJp0GYOLAAdr+/u9Z9I1vMLF+Pfl165C++lVqL3sZiAlrz0f83hnnyPAwxw8cIJrP09/Xh2nbaJJE9OmniV55JbGrrkJ6/HHPIMVN5UqSZ5T5PKVyGVlRyKbTZDMZHNsOSOwz+UiXUBjbJMTVdd3btiR5SR+R0ZVlGcdx2LRpE+vOOou+3t767YZuckscy0xo3LMky2iJBK7jMCE6aBzbDh5QfvdMIyKRCN3d3fR0d6PKMiOjowyPjATeuxmSySTJZJLx8XHvuB0nECcLro8oK8mSRCwaZYFlsezzn2c0k+Gpr3yF3Pr1jK5Zw54f/ICJefNwLrwQHnhgxnN+ruL3yjiHh4YYOnSIaD7Pkg98AOsb34BKhbjrIh09GnjJyAc+gLR9OwC1Wo18LucZjshkZgUP1FcOiEajMxqmD7+1qhGVapVSuexlYzMZL9sawhNPPEF3dzdLly2r46+G13mO4wTGWSf45YeXISO2BYfWD1kd2yaRTOI6ziTDp+G4ZRHONyKRSNDf10dbNotRq3FsaIh8Pj9lLISP+fPmcXxgoO41FzwDFcYa7FeScBcuRP/MZ6i+5jW4iQQAo4kEJcdh+O1vZ/f3vsfxBQua7uu5jt8P4/zMZxju6WH4zW9Gy+WYv24d9ne/S80wSHzkI0TuvdfrBtE0iEaRUymc1au9pmlRj8sITxmJRIIbvSamQU9H2K7zltO8XyqVAgGuVCo1xUsdOXyY8bExzj3nnOC1YJ0a+qwtvJ3vOf31q+PXUoWn8ssmvmH7SS9VVYnH45iWhVGrTTlW30CbnYcsy7S3tTGvr49ENEq+UGBweLipF503bx6DIeNsNHdHGKgtjlUClEWLvAegJNFlmsiuSyGfp1KpUOvrY3R0lNGhoSZH9tzG8984XZfhH/6QwXXrSFcqzP/tb73MaGcn1pvehHzTTXDgADgO9ktfin3jjRiGQeHee6lZFsl4nDah8xr2VBKedqwkSahNQsnp1pU+HNelUCig12okRKdIo2GWSiWeeOIJLrr4YpQmSZ7wjW0Lj9PsWGaCFCoVabEYEUWhUqlghRhA4c/OdE6RSITe3l66OjtxbJvjTdaiGVGmKhQKwRpz8oTceoaUOC/HcbzsMnD8da/DfOtbkRUFwzAol8u4rsvAsWPkmwwHfi7jeW+cpdtuYziZJHXxxfSZJuodd4BpYg0OIn3rW2hf/ap302ka0oMPUjxyhEImQ/See8hmMsTjcW/dJ9agQNAP6Ye0jXCZOSlkOQ6FfB7LskgL0axGOI7DIw8/zJq1a6edWB0OM23hpRqzps3QyOIJ1peSRDKVQpZlSuXyVGKBnxhq4P42IpVK0dvTQ1RVGRkdZaJhbuj8efM4fvx4sE0/4TSlnhzetSwTiUQwTRNFUYhGIsTjcWzbplAsUqvVOHrwIJVKZdbzf67geW2clmVx7Ne/JprN0nP99bjXX4+UzyP9/OdI73wnUjSK9PKXIwHVFSsY+vKXMdasIVmp0P7gg6iDg0Fo2pjwMU3TY9yEQlr/szPduJZtUywUcKBOAKuRWL5jxw5imsbykFbPTLDFerNVoniYpQTemg88404mkzDN+jO0gSCT3AyxWIzenp4gozs4NBSEuf3z5jHUGIb6NMOZthmN4jJ57RVFCWrA5XKZUqnE/t27pxroLbfAm9404/U4HfG8Ns6BJ5/EGRykR5aRzz4b5w/+AAD5/vuxvvIVnNe+Fu68k0I6TWHhQuRYjNTrXkfkNa/x1jq/+AUg1lvUexy/+dkPN2daWwbfcRyKxSIukEmn69aq4dtxaHCQI0eOcOGFF05fJ224gW3HmVNI27huDW8tEomgCYpfLbRubLrenMGYFFWlu6uLjvZ2TMvi+NAQuq7T3t5OoSFpFOYvNybEgu0J/SO/gcDv1vHVJgzDoFAo8PRTT1HduXP6k3+OUP6et8Y5NjRE5dFHaTt+HE0M6nGXLcNZtQrliSeQHQdzxw4mdB1jwQISojyiKgr2K1+JK8uov/oVUvjmbEjAKCK8a8UwbcehWCgEhllX8gglaHRd57HNm9lw4YUzykqGzcFv3/LLLn421sUjtTvu1Jav4JyCQ6h/X4vHUVWVcrmMPVNboSj3zIRMJkNvdzeqojA4MkKpXCaZSlEoFLzjbzg+SXjQZlGAFot58i6WFZA8HNcN6s22bVPaswfnsssw3/lOCIfUug6f+hSsWwebNs14zKcDnpcMoXI+z/jAAOrdd9ORy2G96EVBkdt5yUuQv/IVjDvvRC8WSbguiVe9Cvm66wBx06fTuJdfjnLffci//S3OVVcBkxlLx3EwbTvwVLMFko7reqGs6041TAFJ8hqwNz/2GIsWLiSTzXriXSLT6ot7+cfos3bAyxpXqlVsy/I6VxA9mEAhlCQJq+b5DxW/QVqSZSKq6hEGZBlZkojGYtRKJYqlEtl0esbm3pnCUQBN0+jv6WF0fJx8Pk9U05iYmCCTzQbnVbe9huvnG2okEkHCI2w0JqhUEeaW+/rY8v/+H0u//33mrV2LvHw5lMvwHKP8Pe+M0yyXGT12DOvpp1m8fTtceCH09ATFdOe668h/5zvYmzahuS6JapXE//2/8H//rxfqNDyx1dtuoyaME0KexrZRWpjO5Rum7XpiX4pQvvPnoFiOgy0alIeHh8kXCqxes4ZSueztJ9TT6SsiSICsqpOeA4haVpDMkZiscfpN0/62xD+COqivKG8L1o5/DcKUwFKphKHrRCORIJRXZBlF6OgqoZEQMxmwoqr09vSQz+UYisc5cuwY/f3909INEb+Z0pAskmXZk11xnDqvLckyruOQTCSo9vWx9x3voHTJJaz+2MeQbBu+8hUQavjPBTyvjNOuVhkX6fvu++8natuYL35xYJi2bVME3AsvpO2++9BjMapr1hDp7w9CqTCUTZuQN29GGhzE7eub3I9lIU9TQvHhuN48zHw+j1GrEdc0SqXSFO8iCz0g2XHYu2cP55x7bqCjExhjw3E1bsPvBEmEsr5BU/csch9+QiuVTAZr4KBlzXGIx+MUJAnLtlFV1VM5ME1MYcRBplcYqSy8rq9J1Cw0zWSz9Pb2smPHDoZGRuju7JxVGd4fZeiH7xFVxajV6g1brEFdIJ3P0/Od7xDZuZPR88+nwzBQvvIVuPde+OxnYfXqGfd3OuB5Y5x2pYJx660UxseJX3012bvuAsch8ulPw6c/jaUoVESNra1QICK0d8Ze9zpi55zT9Ont/tu/EfnOd1Buuw3rrW/1XkMkg2Q5uKEc2/YYN6LX0TRNbNumWqlgWhbJZDJQVfcHFQUeR+CJJ5+ku7ub+fPmzfncHXHDnhCaJIR8b4UsowLtbW0UikVkWSYljN3vgvHV+vypaKbvgQUUMazXP39/WdDb3c1jIgQfGh31BijNYqASk8SPpBgj4TZ5qMaOH2fV617HyP/6X+z5zGfI3nEHxsAA6W98g+w3vgEbNjwn2sye+8Z56BB2Xx+WrlPA857zHn4YDAN31SrcNWuoyTJFYXxZy0IZHYWHHiJSrSJnMpQrFW9cQMOm7Ze8BPW730W54w6sN78ZV8hLmpaFY9ue6p3QynFsG4QEpa+KF4nF6OzsnFWsqlAosP/AAV4o1r1zhe04Jywr2UrpRVVVYrEYumHU8YiDaWgN+w4/qCzLQq/VvN9DJH4iqoqiqkQjEZKJBOVqleHRUbq6uqZo6IbhOA41wyAaixFV1WD7jedemz+f3d/7HtXubjTXJeK6FKJRBvbv5+yPfITYW97iCVmf5nhuZ2sPHMDZsAHrH/8Ru1ikZFkkdZ3Yz3+OrChIx49TueEGJm66Cd7yFtLvfS/Shz4EqRQ4Dorrkrn3Xu8GEj2EYbh9fTgXXIA8NoZz//1UKxUKxSLjYiiRXq16zcGii6Kto4OOtrZgDeYrvc+GrVu3ctbatU3JCLPBp+edqOds7POcDvF4HFnyhMJmgyKiing8TiqVIpNMEo/HiQp5T9OyqFYqJJNJRkdHSYu66vDwcNPfwUdZ7DupaUE43ozJBGD294MIsTOWRdSyKBSL7Nq+Hec5ojD/nFbfcxwH6+BB3B/+kImDB8lpGgufeorE0aPYsRi5r32Namcn0UikTg/VdhwYGED70z/F7ehg5F/+BdN1actkgkyqH776Snk+PU4R7JlEPO61NDXc2FVdp1wqocXj3myUWW78I0ePsmvXLq6++uqWvFjj72WJmy4lJFDCn/vPH/6QG2+8ceZraNvkCgUS8XigtDAd9FqNUqnkGdosntons9sh8n3dfh2HrVu3EtM0FixYgGWajE9MYLsu3Z2dU7LaRq1GpVLxjlMk4opiGJPfWtYIKzR42HEcKuUytuOwePFiVpxe2dqmP/zp//iYAU61itvWhv2Wt1C87jpSTzxBQnSX5G66iWpnJ1osVmeYAYMn5BUz27YhSRL5YpGqrlMslZjI5TzuqxDVSgiObSaTIa5pnr5rgzH5HiEai5FMJGZl7FiWxZNPPsm5557bmmE2uwahh8aJYrYsqw9NeL5qtTot1c7vB/V7Q6VQ0igMn4nk2DbpVIp0Ok1fby8RWWZoZIShkZFAO6lSqVAR4xNjoQy5qqpexnk2QoFIFCXicRRZ5uChQwz49MHTGM/ZNaet69iGgTQxQeHnP8d58kk6+vtxslmKjoO5ezep889HW7Ei+E6gaODXB//2bwHRB1mpMDExQT6fJ5VMomkaEVUlIkbt+fCfxo3G4DgOJT9pkkwGr4c1aIM2LoEdO3fS19dHZ2fntC1WdWhyk/sN0Scc1vp82ZkjqADJRIJcoYBuGCT85JD4bthg62qQIgnU+ADSNC0Q7vKTRosWLWJkdJRypeIlpmo1T283EqEtm60L4SOqio537Rt/j7qzEefnzzctVyrs3rmTTDbrURVPUzwnPadt29iVCtLICNZHPkJJUdDe8x4i551HcdUqKp/9LImFC0m9611ITz4JTJYbAklHQDcM8vk8+XweyzTJZjIkEolA4SAWi9UZJhC0XNXdaK5LuVjEcd2mbV8BWVyUR2RZplgocPjwYdavW9f62qGJd/VvzGcsvtzi9xU/OVStUrMsL1vrujOT1qdhEWkiyVS3fUWhu6uLdCpFpVLxHgJCaaKq6+SLRUrlckCAlyQpUIBoXDtPMVDxoEwIwvx2IS16uuI55zlt28Yul72L3dND4eabsYCe/n6qgC7LaJkM2pvfjPWSl0BXFzD5JDcFm8ZXepNlmXgigRaNIgmCQF5o5CSTySnZQ9t1cRtutkq1iiE6TFqVCHnqqadYu3ZtMFsTJj1rM0Pze0inZJQdZ1ou6pwwg3H5qhC+zm40GkUXc1Ja9TxhdT4fWjzeNAEk+0yfcplqtUq78HC+OHetVsM0TWRRu3Zcl0Q8jsykQbrTRCKSLCO73gCqYqnEnqeeYu369cH7p5Ms7nPOc7q6Dj6NzXWpRCLEhbp4GYgKhgiA1NMTeASfEDCRy2EYhjddK532tHo0LdB+VRQlmPZcLpcpin7BYP/Cc/oetSbCrrimtTxifWJigrGJCZYtXToZVvqeVQoNpQ0Zqa8T2wi/G+UZQ7BwfJ5rXaM2IaOSvPmdcaGWNxfPMyWsjcUwGozTdhxKpRI106S3p4dsOs1ELodeq6EoCol4PGjlQ5a9Lp9SiVK5HITOAb1xhuOIRiJEo1GOHTnCY49O36h9KjnyzynjtE0TR3TpSxDMG4nEYpTKZZQ/+iMSH/rQ5Bckbyx7Pp8nXyh4s0CEwHMqlZpSH/NDX0WWyaRSxDUtmE5tiuJ30D0hyx7JulQiIm6aVrFz507WrF7dVFCssV/SZwgpsjwlTPMNqS70liaV2H0K3xTZkpAB1r3uXwdCIeE04W40FkOW5ZnbyprAnzUDEI1GvQhG7K8mssGu45BMJkkkEnR3daEKYWu/5UySJKLRqJdIymRQIxF0w6BQLFKpVAJP3/wAJl/XYjFGx+P88ast3vte67TjyD+nwlqn4SlbKZe9dY8QUk6nUsFNHQ5fJTytm3gsNm2HRWOJQhLZvYiqUiqXKZRKRIRwtCw4nKVSCSSvQbnVNdv4+Dj5QoGLL754cl/Mni2dItYsiPBT1PbckNBzeLuh0LnuPMWf2fozGyFLEvFYjLIgYszEj23cnyxGJcqKQiQS8a4jXhSgqqoXooYima7OToZHRxkZHaW3p6duSRFRFLRYjJiQjzEMg4oY2BSLRLy5pE2OwRUsqCWLVT7/2V3cfofDWWctYNky6bThyD9njNM2TdzQkxOgXC7j2HYQosrCU5bLZS9JIMskhfZrgCY3n39DNjOviMgS+lqqvtCXjHczpQXZvFXs2LGDNWvWzCkUnc5c/LXqCVP36nbSYloq9DmfNVTVddIhHd3Z4D8MTNMkGolQKBTIZDIkk0kiTYw8Go3S2dHBqDDQ7q6u4JzDukYJQXSoVqtBfTqiqsR85X3/FEJ/q7LMgnkqf/b6XdzwohRvfGM7pwtH/rljnIId4v8QerVKsVAgnkp5YtCSREmohfuCyf7gniDEa4KZDNOHJEnE43FimkbNsijk81SrVdJiJGCrGB0dpVwus3jRosYdzGwc07wXlFFO0hQuifr2rOYfCpHdJW+0Q7lSadl7uqIhwE/syLJMNBLxstwzfC+uabS1tZHL55nI54PJb37Y7w9tAo/NFHMcdMPwRL+LRTRhuI3nADA+keRb35nPU7tLXH55gkIhxunAkX9OrDkd06xflbsu4+PjmI5DX08PtuOQy+fRdZ2YptHe3h4IMsPkD9h4k7dimGHIkkQsEkFWFI/OBuQLBYpCw2Y277Nj507Wrl17cjwdXnIqXEd9xmjSATMbYtEoqizPKCoN3lpd13WK/rrQcUiK8FUVPZqzIZ1KkUomAxqlD5/LHE4CyYI4kkomUcTauFQqTRIWxHkeG9B4zevOQ1HifOGze7nyygnOPttlxw4vrN2w4dTJ4p7+nvOWW7wL+r73BZlNvVqlXC6TSCSomaangqconvTHNBlTSRJjEvxWJ//1OR5OtVJBlmW6u7qQJAndMDAMg1K5jCRJxGIxopHIFC/i80YXLlw4ZZuzrfOme99+Bpza6TCXdaf/+ZimURG1x0gDhdA0TY8GaZrgenNcNDH6wV8vT1f2aIa2bBZLTF5TBalAlqRpWUKKLJNKpbypaoZBqVj0atjiPpk/z+D733mc/v4atZpCpVJAljNoWoJPfAJOJUf+9DTOQ4dg8WIAbE2brP1JEvbwMEU8rmUylfJ6JcUAodlCTN+DTlcznA16rYYhhv74RhHXNOKahmmanqHqehBa+0kJRVXZsWMHa9eubckz+UT8mmGg6zoVMclaNwws0Y7miJqfH8o5YnyCLyVp1mo4wC9+8Qtk0abmt2z5rWuy+L/tOGiaRiqZ9B4uYrBQTBAxZqMGxoR+T1XXAy9mitY5n7ARFbNJG9faSih72wokSaKro4OhkRHGJyaQFaWu/DPd9Y1GoyiKElxLf7qaoij099eCz1RKNWQ5j+t6kVeTZ+nvDKefcR444MUTN90En/wkTjYLExNgmnDbbZTuu4/Sa16DHY8TFzUv1Z9xORtEGOi4bjD9qlU4rku5XEZR1aZtTZFIJBCcNk3TS0gIrzo2NoZRq9HV1RWEXyUxoLYgwuKqrnuGLaRJYrEYmqYRjcWIRaPEYjGv/hqJBIZVFWLUiUQiaHT2VQokSeJHP/4xN9xww2S/pd97KZTefcX6UqnktcKZZiBy7R+LXxPWNM07nmiUZDJJOpMhnU6TSiaDdWpZhPeqMPpoJEJE8HGnM5opnOcWIEkS3Z2dDA4PMzI6Sntbm/h5nWkTbZLkNYCnkklqphmMv6irT7sub3jtGNFElXI5XTcs6lTg9DPOpUvhqafgE5/Aufxy3OuuQzJN+MhHKC9dSvmmm7DjcSKWRVdn57TE6qbwOZaShCvLc6oul8tlj4miaTMate8x/azhRC7H3r170WIxNm3a5IV/lkUqlSKVSpFOpeifNy+4+TVNqyPMT1dMt4X2bTyRQGsilxKuJc4E13XJ5fPERReNv8+wtEmtVgsignK5zEQux+iBA5RKJXRdD8S1YtEoiUSCnp4e2trapl1i1F0v4TkVwb9tFbIs05bJMDI2RrFYJBKJzGicMMnzjUYiqMKLVnUdR0QOSBKRSIR8Lkcul/NC5lPYWnb6GSfAggXwr/+Kc/vtSF//OkgStde/nol16zxup2l6o/HAM8xWPaCftfVrgP73ZjHumsguJjSt6agC8G7oiYkJRsfGGB8bY3R0FEmWicfj6NUqy5YtCwSkI5GI16Atbkb/b98QgpBzBgGxsM7sM0HTM5ckHMGb9UNoSZaJibViRohcq6qKLMtebVEY7UQ+z+DQEKVSCU3T6OzqorOjg87OzrruoGBX4bC2xQet//DQ4nHSqRQ5QTBppR9WEvsEb7BSpVr1lgdCkkWSJLRolPzEBJlMhoyYJXoqcHoa59GjOLfcglsqwapVmJbFyGOPwaFDdP3BH3DcdSdrl3MJTRs+X6fZ2pAoCr7jupRKJa/oHo97qm94a96xsTHGRkcZGxsjXyiQTqVo7+hgwcKFnHPuuSQ0jce2bKG/r49VK1dO3bZQDDB9NQXH8YzfJwz4a+MQYd7/t2WamKaJY9uY/rn42enQedohlb5gmJHPDBKq9VVdDx4MPn82nGCRJW+4bzQSAU1DhjrvnkgkaG9vp3/ePPKFAhExd6VYLDI2NsbIyAh79uyhVqvR0dlJZ3s7nV1ddHR01GXUZZiRQO8fc/gTmUyGSrVKsVTyRLpbVIQIjj0e9/R5xfo9IdahlXKZcrlMMpk8OfTIE8DpZ5xizem++93wqU9h3X47o4UCzrXX0rN5M9JnPoPzxjcSWbNmToYZtIo1+Y7kh7kwxUgroncxmUgwODjIgQMHGBsfxwzdaGetW0dHW9uUDK1Rq3Hs6FFuuOGGpockC8UAJRIhFjIGf01o2Ta2ZQUJD1tMrnaFERuGMW0Zwr+BfW3Y6S+L6ynvRSKe8YeK+n7iKJxo86U6pzufWDQahLrpdJp0Os2SJUu862EYjI+PMzo6yvZt2ygUi1iWRaVcJhqL0d7WFijoNcLn+TZ6XlmW6Whvp1gqBU3jrUBikrYYi8WQZNkL2ysVtFgMR2SZS6XS9OMwnmWcfsa5dCls347b2Yml60zgebzO7m5iN95I9eKLcWu1ltYzUzDLWhHwjFTcfKVKhYP79zM+McHE+Lg3xbmtjXMWLqS/r2/WBMbBgwfp7++vZyg1Q8PN7mdWVUXBbTaLxXUplcuoqkomnQ6MJfy3/++EGJAU5ur6f/tG55M2wkoI0ykYzEY1jEWjAcGg8bxjsRj9/f309/djWRaPPPIIo6OjRKNRHn30UWzLor+/n97eXnpE04L/MJqpBhuNRkklEuiipJVqpVOmgd4YjUQCGZaSaXrll2qViqoGAm2/a5x+xgk4CxdiT0x4eqmSRNqZnDJlptPYo6NNkyDTwr/JWlifVisVBgYGOHr0KMOjo3R0dLBk0SI2XHghMU0jl89P5bk2OwfX5emnn+aSSy5p/TgbD3ua1/2SUKRJPTX4rjjn2aRHpqsPtsL3bQZFVb2RCU2M04eu6zz44IO0tbWRyWZZs3YtnZ2dFItFjh8/zq5du3jw4Yfp7e6mf948+vr6ZhUwS6VSuK5LvlBAi8VaMiZfZTCY0KaqxJPJgEBfLZdJptNUhADc77qd7LQ0TtswKJdKmIZB/KqrSLa1BUZl1GqeLupc1gG+UU5jmKZpcvjQIQ4ePEhV1+nr62PJkiWsOess0pkMUTFlGrwwypxherOP48ePExdrsdkwXeF/prqdY9vPSJpk1mOiuXG2YrCxWAxTZKUbubKFQoFNmzaxbNkyVq1axZ2/+U3wmVQqxcpVq1i5ciWVcpnjAwMcOXyYLVu30t3ZyZKlS+nr75/SAO+3iWWzWfL5PGPj43X827lAURQSmkZV1xkdHaXm9LNgQbVpYujIEY+g8Gz9DKedcbquS2lsDMtxvMyspk2KN7vunDogAo8pSVNvKtdlYmKCA/v3c+z4cXp6e3nBC15Al2D+TORyQebOP66gFtdCRnHfvn2sCEmkzHyYczNM8DyzMkeq3YxocsO3XKJqQETUYnVdJxKqFQ4PD/PYY49x9tlns0BMo7ZMM9ACckLr/XgiwZKlS1mydCm2ZXHs2DF279nD448/zpIlS1iyZAkJ0bcLgOuiqCqZbJacmEQ+nfDX1FOvfzhGIhFsx+H4cYk3vkXi1a+2ufnmGuDdC7oOX/gC/N3fPbvyt6edcebHxjCFkrcF9dKSkoRlmi03NYfh33qWaXLkyBH279+PZVksXbKE62+4oS4E06tVHMchHfpx/XWbElqTToeJfJ5iqUR/f39rx9bEc860B38d9mwrIJzo530aY6VaDZrBDx48yFNPPcXFF19MZ2dn8FnDMJDk+vmnYiPBdVFUlUWLF7No8WIK+TwHDhzgrrvuoqOzk2VLl9LT2xscWyqZ9Di8pRJaLNbyveLvKzxIuK+vyt99bht337+MjRur9PZGf6ftZKeVcRq6Tk1c1JplEROUq3ApwHYctFZvytAPnisU2LtnD0ePHqWrp4f169cHSYe6rzhOoPTWdJ0TSqL4ZYlGPP300yxburTlsHOu/ilo+D6JnrPZlubKsw0jKrK2tVqN/fv3c/z4cS6/4gpvbchknda0rGnLH7Ise0OBQ+eZyWY559xzWb9+PUeOHmXHzp08/vjjwVJE0zTa29qojYwwnsvR19Mz67GGCR/+qHvwqJnt7WX+9E8Oc/nlcd70pgy2Lf3O2slOK+Ms5nKokhSotdXN+QgN2GmphCIMs1gssvOppxgeHmbJkiW88IUvRJsh3V7VdRzXJR0OmULw12JBiBuuleJ5gmPHj/Oi66+f/RgFZKBR7GOmpJNvMCdjzTlTZ06zdWerpiqLMQxbt2zBME2uuPJKbxBSQ8lIUZQZF23BVPEGKKoahLe5XI5du3dz3333sXzZMlauXEkmlWIin6dcqQSyNbNBkmWk0PFJkkS5lOXfvxNn3/4il1/e8TttJzttWsaq1SpOrUZUDG0NvKYPQXDGdWfvoXRdytUqj23Zwj333ksmnebFL3oRa9asmdEw/bamWDQ67brW3/cU5QTx5+jRo/T19ARhckuep9F7T1PGCB9n+FieCWaTI5nz9sTaXNd1Hn30URzX5aING5p6R1OsN2dCK2vfbCbD2jVruOyyyyhXKvzq17/m6NGjKLJMoVCYnRboE+cbPnd8QOP1b7oYCY1Pf2qIq68ucfbZ/M7ayU4Lz+necgvFgQGiH/84jii0T5mOFbp4M92SerXKzt27OXr4MMuWLeOGF72IqLgBppPu9+HzLGeigcmECthNbuhDhw+zNrQQmW5CWPj1ZgY8YzLIvw4nw6Bm6mltwTCaTTwrFYs8uGkT8+bPZ+GiRYH2TyNM00SdjdEj2EkzGVgwZS2Z5IILLgiipX3799Pb20tcCIK3gjAJYl6/znf+fTO9vTqlSgUYBzrQNOl30k526jznoUPBPyuA09tLTNDjYuVyfcgmyiAz3bCmabLtySf51a9+hSxJXH/99aw766zAMIPtTAPbcdCr1YB4Pi38MLbJTVsslaiUy95adtqvNz+PmdQaGuFnNU8GKdvfY7NjanzFZwf5Xqbu/+LP2NgY9993HytXrmTdunVEo1Fst7kqu9Wk1NIMs9aUqe9qSafTXHzRRVy2cSOlYpHfPvgg+/fvnzYkd6kfex/+XH+fESgiGvoEslwO3lu48NkduXJqjPPAAS/l9b734eZyFFUVLZPB0nXcu+5C+/SnYc8e77OhG9YP9xrDuaHBQe68806MWo0XXn8957zgBU1JCjP9yP6Anvgsg4d8g2i2Djpy5AjzFyyYc6JGFgYbJCbcJsp5TBrwrFIic4TbuJ/wH1Hi8CVBw59txLFjx3j44Yc5/4ILWLJ0KTDJvPHVC8OoCuWKWTHbg2iaJoBsNssll17KimXL2H/wIPffdx/lcnnK1xvD2cbtuK6nc3vZxkFuuWV89uM9STg1xum3hRWLWGefDU8/TezoUYzPf57Y8ePIn/jE5Eo7dBP66Xb/FdM02bx5M1sff5wLL7yQC84/f2Zu5TQ3tGXb3jpX02YtT/gevXFUugscPnyYRSejO9edbC73SzgSk17XFl0iYW/bKHU57d+u63ka/9/iPIK1XcOfOhmUGR4Ie/bsYdu2bVx22WX0+qUNCAbd1pp081QrlZYnq/nXoBkCTd8mxxeLRunu7mbNmjV09/Rw9913s2/fvjqRr8YHTaP3lCQxKNlxGB//3RnnqVtzirYw4wc/QPr2t3FLJdwbbyR6ww0w0xhyvB98aGiIzZs309fXx7XXXttSeDQddKF/M5vXBJGEkaQpnnNiYgLHdVtiBM2ElkJb150ygqHOk/qGFl4zhrYrhf89iwcOSkYzHMvWxx9nYmKCq6+6qmnCzdenbRTA9qeGtQThPZuFx7OpIGTSaarVKj09PcybN48tW7Zw7Ngxzr/ggmlHNMpyAwFf8vp0C7kctVrthGrtc8WpM86jR+GWWzA2bSL6spdh2Tbypk2oe/fCq18NfX1Ns5iW47B9xw7GRke54IIL6td3s9zYzUoDtuNgGEad9MiM25A8gedGz3n4yJGT4jV9DzkTXNc9eSJhIRbVdMcT+nDdez55XQKuvPLKaTOvvl5QTUiD+KjoOn0noePDT85NlyCLRCIkk0lKlQpdySRXXnkle/fu5Td33snas85i2bJlzfMA1J9/NBKhXKlQLpd/J8Z56taca9fiJpPUfvpT1LVrsebPJ/LBD3qr7L/6q8k1Zwhjo6Ns2byZifFxzj3nHI9p0sQzTIsmP4AhehnnQqRvfII7rsuRw4dZ2Ch5ORc01EunQ+AlpinpBJ8L9XHWvU59KNdKCir4bOj66dUq9913H/F4nEsvvXTGkoivIVRrGEk/l7BWbKipAYaJA9MhI3SN86KFbvmKFVx59dUcPnyYTZs2TVkTSzRkw12XSCRCTYjL/S5wajynaAur9fUhD3lzKlzXJZpMwo03wlVXQUN4ODI8zObNm+nt7SWVSrFn7142b9lCZ2cnvT099PX3z2kkgtgpuq57owXmQIXzRax8DA8PE08kWmtVmgZhckOz4/RDaSc0ELaxVazuK5I0/fYE/B5J7wAauLWh7/qlI9+75PN5HnzwQZYvX87KJk3kzRAObX1DrggFxTmhSXlnNh4yeL9ZOpUiXyh4iSgxzuGqq6/m8ccf57777uOyjRvrw/LwvkRYLckyY6OjzJ8//6Qm5Zrh1IW1ixd7Y/xcFxtvHaT4T98Q9xLgyOHDPPHkk2y46CL0apVUNsu52Sw1w2BoaIiBwUF2PvUUmqbR29tLX18fHZ2dsxLDDdH5P6f2M5jkggo800RQmM42rUykSHr4hngyapx1a1bqDdmt/2BwbENDQzy2eTPnnnsuC+bPn5bC2IiI6OwxBPHAcV10w2hpnd94zHLDmr9ZE3YzpJLJYISg30onAeeccw579+zhnnvv5dKNG8mKDhQ/yRQmhUQUhUKhwCc/6XDwoPKsto+dchKC5LqYV189aSDhNZDrsmfPHvbv388VV1xBNpPh4KFDHt8Sb5jOgoULWbBwYaDhMzg0xPZt2yiWSvT09NDX1+cVopvcBLquo8jyrL2CjfAztrYoMRw/fpz1oTFy08HPmDa9kcT5Nq5zGnFSRzBAYPQzwTfc/QcOsHPnTi655BI6OzomPbafRZ+JWCESKrqu42qap5YQi51YobAh0WU7zqy/oR9FJOJxSqVSXXeTJEmsWr2auKbxwP33c9FFF9Hd3e19UZa9qXauy8CQRiKpUBFltzCejfaxU2ucjoNlmiiqWr/AFhf/8SeeYHR0lKuuuipYmyiyjOOHlP4TTYQcnR0ddHZ0sG7tWnRdZ3B4mKGhIbZt20YikaCvr4+unh462to8WUjLapl3GYYkMqWu4zAwOEhHR8eUxuLpfMm0EpF4xfTZDMX3rCcrpGolJATYvn07R48e5corr5wqGTkDMSOsOBBVVXTJm2dTrVTmHtIGm5zcph+Wz0QccZi8bslEgnK5TLlSCTykj4WLF6PF4zzyyCOce845Xs1alJ6OD2j82Vsu4MZXPsXLXn4Ajw2tPKvtY6feOC2LqOCyBm1DrstjmzdTqVS46sor656KiqpiNaS4p/zbddE0jSWLFrFk0SIc1xvfMDg4yONbt3oDWdvbyWazLF++fM6H7XtOy3U5fvw4/fPmTUvnaxmS1JJUp3uSPafLzIZuWxabH3uMUrnM1VdfPecow48GwFMaUESnSaVSmZHnPBuCFi/fOJtcj3Bt10ckEiEaiVCpVpsOoeru6WHjxo08+NBDWI7D4kWLkGWZ+f06t377Mb79Hx185avzicVq5HLRZ7V97JQap2NZHoUrJOoLsHfvXgr5PFdeddVko7WAoiietD8zJDsakgayJNHV2UlXZydrzzqLUqnE/gMHmBgf5879+0mnUvSK8Le9vX36m9X1plr7N4ZlmgwMDrL2rLOeOXF8tnqigL++Opmec7pjN3Sdhx56iEQiwRVXXHFCsiV1kCQiqopeq1EoFDx9I/845rwp72Hm86WnsHqYXvM3mUphjI+j6zrJRGLKvrNtbVy2cSP3338/6XSa9vZ2XKCnp8a7/+IQD2wy+eKXl5PLPbvTyE6pcVoiIRNR1eACDQ4NsXfvXq655pophgmecTbWGJtiGtK2n1Do7+/nLPGoGx0bC0gNtVqNvt5eT2Sqt9fzFCKEDa+tZFlmYnw8EFR+pggne2ZCK/pFc8F0nrNUKrHpt79l/vz5nLVuXSCj+UyhqioYBrlCgQULFtSdc12P7GwPH/EbOLY9pTbsuDPzlDUxFqJcrZJIJpveJ+lMhvPOO4+HH3qIa66+mkg0yvBwlG99dz5DIznOPtukWORZbR87pS1jkvAC/g1XLBZ57LHHuPiSS6atf6midaylceeCAheG65dPotFAuLmnp4cXvOAFXH/99Vx99dW0tbVx6MgRfnn77dx7zz3seuop8uGxx+I4BoeH6QtR1X4X8If3njQ0uTHHRke57957WbV6NevWrw+ohCcDPiGhkM9PWfOFs6Iz0fV8SKLvV1aUIIS1RFfTTJDF3FbLsprSCn30z5vH4iVLeOihhzh2PMZr33ghiYTBX7z9AOedW3nW28dOmef0OxpUVQ0G3W7atIn169bR2dEx7ff8eqRtWcitsjRCN1ZN17Fdl8Q0IwziiQRLly5l6bJlOI7DyMgIg4ODPPzQQ9iO45VqentJpdOMjoxw7rnnzum8Z0IryZnZRg6cwE7rGgmOHDnCk088wYUXXkhvX1/w+skKo/1kjq7rM84iaepRp34I13W9aGqOibJkMkmxVKJcqczYTrZm9WoK+TzDQw/xnX9zSaXHqRoypjBqTeNZax87dWHt5z6HrWnE/vAPMU2TLVu30iukJmaCIoYWWY7DHFMTAJhCvS/g4oZI4QHEDyzLMr0ixOWccyiVSp6w9MGDjI6OotdqjI6OEovFmo4amAtazZr6xxmOHJrp1fo3q1mrTbbcMemN/HWr5ThEBYl+z+7dHDhwgCsuv5yMGA4U2skJn1sjdF0nmUq1Fr7SxFD9ayDa1k7kUaUoCnFNo6LrOOn09NGIJHHBBRdwz733kkrtIJXuR5FlLKueUfRsTCP73RpnaLSfE4166fVYjKHBQcyhIV7w8pfPuolYNIrsutROoIDtOo6nTeRPvG6Q9p8NqVSKFStWsGLFCp5++mn27ttHWazNgKCm2t3TM2cRYlfMJQlatET9znWcgMnj67LGotGmLVhh+PXQcpOaXBilUglVUYLa8IYNG1CjUaq67o1hkKSA7H+yUKlUSCWT9cnAFuGXRBy8nIUkxlScCBJiVkqlWp2R3aWoKhddeCH3PvAAHZ2dqKrKH73qMFdcvQyY2z04F/zujLNhtJ+pquA4aLJM9fbbueipp1DWrYNVq2bcjKIoqKqKoeswR9K0YZpeAiqkZVPHjJlDOWR0dJT58+axePHiYC7I0OAgT+/bx6OPPUZHRwd9gq2UCqn4+W1alj9LU/zbH73QCN84/FA2Fo0SF9PIgMnWsoZ/+94lLQS1/H0T8rLg8Vt379qFoqpcuGEDiqJgiusUhut6sqSKLCOLAUZqaMbnXFAUc2XMuRinHxGEjssSDyx/9OJc4YtP+w+LmZDJZunu7ubgoUMeZdF1MURz/rOF351xhkb7cdZZ2DfcAN3d8NGPkmpro/a+96GtWDF7hkoSk5Rn8QiNcPHEt8CjkoVpckE6v0XDdByHoeFhLr74YmyR1PInUq1ctQrTNBkeHmZwYIDde/agyDJdXV20d3aSzWTqeLyyLKOKBw7RaJAJ9v8Ow7ZtTDG8d7YRD/5NrMzgwcvlMtu2b6ejvZ0LLrigbu3pG7IjPLffveOTN5yG6+cbrSIeJDPNTC0UiyxcuNDL/s72QBTLjmYUPcuygodWME5jjkaaiMfJi5ktM0U7vozqgw89xOJFi9Di8TmNLDwR/G7DWtHDyU9+gvXlLyObJk+vXEn2Na+BWAxD12fvUnBdr6+uWJzSH9j04+I7lpgErQkDaKYmIDV+bxqMj4+TTCRIJBKBwcPk1DDLskil0yxNJFiybBnlUonx8XEOHjxIsVikq6ODvr4++vr7g6SIP7xoppsrIKKfhBAzl8uxadMmFixYwOpVq6aoS/heWJFlFEB1XdQQp9gVGXN/CK8tzr0Wikj80Qyq+Ns3wlw+zwte8ALP0B2nacnMdV1wnOCBOUWLSUQd0WgUWZKwbHvO10UCb4lTLKIbBqkZRlvooq1w4fz5HDhwgLVr1z7PjFP0cPLLX2K/7GU40ShLdu9G+973KP/hH6Jns0RnGHPu35yxWAxZltENY1r6XWPHhhXi44Jomp7BEGYy1MHBQfr6+pAFkbtUKgU3KIieT0VB0zQiqkpHezuLRDtZzTA8rzo0xK7du4nFYvT19dHd1UVHA+F/yjlNI8cxVwwODrL5scd4wdlnk8lkWt9eqHYsSVJTT+OHv5ZlYVsWumWBeICpiuJdI8chKWaSWKZZp+hf18Q+g7H5NVdVEOpluX58fSuauy5ej6Yiy15JZZrQ1hTdNFo0ypq1a/nNb37D4sWLn0fG6a853/IW3B07cP7jP8jv34/z13+NtmkT8c99Dv0d76C6YsX08b+42NFoFBkvTG1mnFOyr0BNzNUMk51bDYHCt4jjOBw5fpy1q1ZRLJXQq1VkSQpGxPteYtqJWCGyvut6IyGGBgfZvnMnhXyerq6uSbJ+QxRxMsSk9+/bx67du7n00kvJZLPeyPlWttdCz6R/bJFIJKD5ua43YtCyLCzbZnxsjGQqRalUwqzVvHWnqH3OBZZl4TLJqZUlyZuMJhBWOWzaUhd6LRaLURbKi830g4xazZNbiURQgQULF3Lo8GEufd4Yp+jhZPHiYPArlkVHby/ceCOy6EzRDQNrlilRiiwTjcXqQkoIGWVjMgOvPSw8cWtW+Y0QbMfBNE1qtRpVXadSLJJKp4kJ9lAiHg+mIs8FkiTR0dFBe3s7q1avRtd1BgYGvM6a7duJx+OTLXDh2u8JGKfrumzfvp3BgQGuuvJKkqlUkPFtqYQz5z0SbFuNRAIJzAMHDtDW1oaiKLiuS7VUQsIjJ0RU1Zs32sLxWGJJE3zWJ7M0fNevCzd6ubDRxjSNcrVKzTSntA/6U6+ToQdld1cXO3bsaI0I8wzwuw1r/TKKGHmg+aPjATo6iDsOtVqNcrlMOpOZ0okeRjQarRsM6zJ9L6TPAmmUlpipPcsR5RpDDFEF76FgCNJ8h2gGN0U4G/zYkoTkutPS4pohuEliMRYtWsSiRYsmW+AGB3niySepVCp0dXaSbWtDi8XmpCBgWxaPPfYYhmF45PXQcCZmuAaNx3ei5ZSwxs/ExARLly0jkUh4WVZRCrEsy3tYVKtEVJWIaIZoKh8i1rnhpJgEU0Jb75ClumRS3bn4113kIQzDqDNOy7KoGQaqny0XTLb/uXsVW7cu4HVvKJ3Q9WgVp4SE4LouB9atY9H8+XU/uCTLXshTLFIulUilUpMXtWEbsVgMB+/JFp0lle4bZ6M3lpuEPJZtoxsGNcMIwqaEpnk3i6IwcPw4XX6vH17mtyo8ePgp3siVlRDZ4JnIBmGyvizT2dlJZ2cn69ato6rrHDlyhKGhIfY9/TSpVMojSPT10d7WNu26MSCvJ5NcfvnldZniVjtc/CjDJzFMd6X9h1MgYRr+bYWRjI2Ps2HDBsD7PaKKQiQa9fRtRTbaMk3MSgVZkojGYkQjkbqElf+wbPw9Z1qq+PVj32OHr7WiKERVtS4Ss22bqhB+i2kag4Mx+nr1IHRWI3EOHznCqjVrnrVRgKfEOB3HYXR0lAvOO2/Ke6qYJFwSPXfB+rOByO6vO3XxpJ0OQUjbLFwS23Rdl5plYeg6pmUhie03G8I6OjbGUqHJCnhhmGFgW9aUskXTbHDDDVRnxIIY0cx445rG/Hnz6O3pIZVOMy7I+lu3bEEXM0X9idBhj3LvvfeyYMEC1p511tSMZ6se0WceCSMNkm3ivbrtutPLVObzeRLxeLAelSRPzd22LCR/va6quJqGZZrUTBNd1z0udCTiJQsVxcvMMrVNbDa/7ntWn4AShqZpQUlFlmUq1SqO65KMxxkYjPOmmy7kpS8Z5M1vfBqAaDTOgX07+NSDz94owFNinKOjoyiKQrIh8eM/lSPRKHHHoVqtUpVlL4RrEtYqikK5Uqkb1dcI0zSDbTbCFfswajVsx0GRZRKa5unXNgunXK8v9IILLghe843XamKc02E6pbe6trEmHiBQQZAkurq66OruZt26dVSqVYYGBzl67Bhbt24lk8mQFNdk1erVASXSDRuO6wadNlLDe2Hjkwi1XjWGjP62WsTY2BjtDbzpiKpS1fX67UoSkWiUiPCmNTHGviYa8/1oacrDT5Jm9J4+mhFQYrFYUFKR8HSJE/E4siyzoF/n1m89yr9+cwlvfcd5rFg+yOBgBx/52Mu56iqXRx6RnpVRgKfEOMfHx8lmMjM+6TRNw7Ftj0Ymy3XrRQfvhkkmEkwUCjPWO03LQhIsEh9+Z0q1WvUkLlSVeCJRN8G6GQrFIpFIpM4z+fqxpmUxNyWiSYRvpcZQO7wu9lX3gtfE5+LxOEuWLmXxkiU4jsNTTz3F7l27cGyb7du3MzIywrzeXrp6e73r2IRt42/fL/qHxaTDN/xcstyNGBkdpS9EpgcvpPSNoZnImqIoxONxbyyk70krFVxNIxaNTmn+bun4wueDKKlEoyiyTLFYJBGP14/lkGV6ug1u/tBu7r43xT/9cz8DA51ce80v+MEPXjL3BvQWcUpaxvzQYlotHYF4IkFEVSmXShhi3eiEvp9IJpElibJYGzSDZZqBAbmui6Hr5PJ5qtUqaiRCW1sbGZF5nS2BMzE+Xp81FYhEIifc6xisf0KGEf5D6N9OqJzR+BnwbrS9e/Zw9MgRrnvhC5Fkmauuuor2tjYOHDrEHb/8Jffdey+7d+0in8t5HkQQMtzQvuuOy//3MyQ+uK7L2Oho3eBcmGxkmC3zKckysVjMY0dpGqqqUq5WKZXLc772jQ8//zXXdalUq0Sj0SlLpeGRGH/zt6v5528uZtnSMsuXlXls8+W85jUKu3fPafct45QLfDVCxjNA8J6CyWSSkutSLpexTNOTthA3iv8jVcplMk3aj1w8z6lFo14ZpFLxwldFIZFOB5zMaRXvGjAyNtaUKKCKUGtWxlLoJncBBDVuyhp02q9Pn0xyHIfHt24ln89z9TXXBN49mUyybPlyli1fjm3bjI6OMjg4yEMPPojlunR1drJwwQJ6enqmhOX+mtJ/aHgH2LxkMVPmGwi0Xhsb02VZDhg+rfifmphsnkomqZkmhq5TKpeJqKonDH4CDxFHLG9c8DKzYRojcPxYlD+76UJe+geDfPWL27j9jm6SiRJ/+IqvE09+kg0bnkdrzma1yOkgyTKpVIpKtUq1WsWybZLJZJC9S8bj04a2fvG74jjIhoEsy6SSyYAlBKGETAs/6vjoKMuXLZvyekRVkZisvYVO1PuL+ht95hOWpv3MdMZpmiYPP/wwiqJwhVBebxbaKYoy2QJ39tkMDg8zPjrKvv37eUyQ9X25lnQqVf8gCZ/TNDXimQx0bGyMzq6uKe/7bCqzBe/n2LbH1BFdRbFolGgkglGrYRgGxVKJWCTilWBaTJ3atk2lXMZyHFLJZMAd9nMJMjC/X+e7//YofX0G5YqF63q/sapa/NVfubz1rc/OKMBTZ5yhNU0r0DQNSZapVCoUi0VSqRSyopBIJskVi5Sr1Trv6eKN5CuXy2TSaRKJhLfob5KxlRRlVu9ZM01PFKpJ8inoMTVNYtFoECK1gpZXb6E1XxiVcplNmzbR3d3N2Wef3fpAXUGeyCxZwlnr1mFZFiOCVvj0008jS1JgqJ2dnZMPnVkeYo2G7B/v2NhY0yUBeJFHTUjWzLS08LWjwiGnJElootxiiLq0UasRE9TJmWCaJpVKBRdP09Z1XY9SGH5QyDI4Dn19RlCOcdz6a/xs9HLCKQxr+x9/HHbvhre/feqbIe/hOg62yCTGolFUWaZUKlEoFkkmEsGPEA5tbcehVC5TKpWIRKN0tLfPeNO2whYaF5nGcE0wbICqEB6Lz5HSJYVDRqb3PM3KHrmJCR586CFWrFjByhUr5rwu9BNM4BlI/7x59M+bB65LoVBgcHCQPXv2MDE+TmdXV8BWamlsnzhWP2IYGh7m4qVLJ691Q51REuvOmZhhZq2GMk2Lmiyy+pFolHK5TKVSIRqJBF42fM7gNXwbhhEsnYJwWITYzeA3JrzutYMo8jB3/Lq1y3CiOCXN1tlslvFyGTcen7wZx8e9EQySNLnu9JkloU0oqko6k6FcKlEqlQK2TKFYxHFdTNMMGowjkYin8HYSqsPj4+N0tLfXhcBh44yIdWczfuZMaNVzug2ec2BggC2bN3Peeecx7wRiqjBrZwokiUw2SyabZdXq1RiGwfDQEINDQ+zevRtJkoK6amdn56wlpGKphGPbZDKZKZ01LqIcNYtx2raN47oeZXIGqIpCOp2mXC5TM00sURLxPb9PLrBsO1inhq+BqiiYguTg5wX8d32jVRSFSrmMFtrus4FT0mzd/+EPc2xiArOtjahpwm23eSvqD34waLauaxlqCBFlWSadyVDVdQxd95gltRrDw8MB7UvTNBzHaVmRIDxuvBlyhQL9/f3Trpcj0ShytYppmrP2Ws56LEw12oDNI0ns37eP3bt3c+nGjdOGirNimjC5GSKRCPMXLGD+ggXguoyNjzMwMMDOnTsplkp0C7J+T29vUyXCocFBenp76z1Y6H1J8uZfzpSxDerVLfyesiQRj8dRIxGqlUowfsHFY0yBt0yKNjF0VVW9WqcIZ8NXxycoKJLE8MgIq1avfkZNCLPhlDRbq5deSs+yZZiqSvQjH/GC9k99Cvr7g4+3kqSJiwtcLBSoVKuUKhWWL11KKpWalrI3F4SL8YVcjlUzqDQogiM6V+Ns5jmb1er8UsqOHTsYGR3lSkFeP1GECQ0zHl/jg0iSaGtvJ9vWxpq1az2vOjzsddZs344WjwcKEB0dHciKwuDgYB2ragoEU6hWq03lwAqYpjltSNt8k55OlJJKUSwWGZuYQMIbST9TVldVVZxq1WN8CT6tfzy26B8Fbx7rFSdR3K3psTyrW2+EaLZWfvQjMu97n8faectb4IYb6j7mF8FbyupKnoxHNp0mVyhQrlQ8qUTx1Gs17JAkadJLi3WgPx7BEWvYmdTigMlZILMkNurQYuLIsix27NiB4zhcfdVVc9bembrbFql7TVDX0RGLsXDhQhYuXIgbmlezbds2yuUyXd3djI6OcvbZZ8+4TVmQK8IlG//a+0Jec5EE8dewfonE95KNy6RGRESI7Uuy+BloOxTSOsDY+DjLmmTuTyZOSbO18stfYq9fz6iq0v+rXyE99ZQ3MFd4zsZG6elgWxYlUT+bN28ekiRRMwyqIkE0V30XCcE+8kkS4vWyv76Y5akdiUSo6ronXNUia6RZ+UFqCOV1XefBTZuIaRqXXHzxMzZMmLqGnfZzgqhQd3zTfFaSZTo6O+no7OSss87C0HV27dqFqqrcc889JJNJevv66POV9UPXU1EUby5JiCnkP6T93s1WoyBHSKr4/FhN00gKQbFqtUpZzGlp5j1VVUVyPeWMKJO/RdDcrSjk8nmSmQzZkzD4dyb87hhCYmAuySTSzp1ELrmE0UiEws03w6JF8Nd/DXv21CUMZjo4y7IolkpIkuT1Vgp5Sp/WZ7su1VqNXC4XeLOZENbMabxh/dLNbIioKrIkzaqMF95n0xs9dKzFQoF777mHru5u1q5d2zJ/d9Z9+6oKs3nOZ7Cmimkatm2zatUq/tf/+l+84OyzcR2Hxx9/nNtvv51HH3mEI4cPY4gaNE3Gyruu17oXUVXk0GSAZrAFmaBYLFI1DGQxkzMmpEyikQiJeBxH1DYb6YvgJRwlURbz9+8yqVckSRKDg4MzLnFOFk5JszVARJJIahq7nn6ai1/5ymBgbp0RiUV5I0zTpFwuB+R5fx2SSqcpifmL6WQSVajs+al1TdOIi3op4IWvkoTr689InhRk409WKhbJzECuD0NV1SDbNytmuvFdl5HRUR595BHWrV9Pb28vupCrPBnwb8yTkcmeFq7L0NAQy1esQBIiZ11dXaxbv55qpcLg0BDHjx/n8SeeIJVK0d7WRo+QFvUfkDWhBBiNxSYTNFJ9945l29QMg5pp4rgu0UiEuIguGnWZfNWFSqVCuVSqu3/Ae1jJslxXTvm3f19EvljmnX9+HNOyOHjgAC9pQcb1meKUNFsDKEA2leKp8XGvTNHRMXUQa5Mnm23bnmGqKqlkss7LxaJRtHicYqFAKp0mHouhRiJYpklVEN2rQs4w7hMSGji+zZIx+UKh5axoJBIJJjjPut6dzptLEkeOHuXJJ57wZkX29KD7nRsnyTgDIsizmG3M5/NeZNMk6giU9ZcuxbFtxsbGOHTkCI8/8QSWaQZMJr8pu04ETCw7LNvG0HVqfnOD6AsNz0+VmxBM/LbEcqVCpVLxGGeh66AoCmPjKh3t3v8lWTTbqyp79uxBi6+it7efZxunjISg/OVf4pbLrB0cZNv27Vx55ZVTb1apvmnZFRxbSZKmGKaPTDYbTC/2ZfbVSIR0JOIlCHSdSqVCtVolGot5nQ2hbpTG9R54Ye3iWZTofUQjEcp4nN6WlAEbX3Nddu/eHQwMzvjrmhYTR63CdZy5Z2oFWjXowSYllGaQFYXunh60eJwVQh51aGiIQ4cOMTY+TiaT8YZL9fWRSaexLQujVvO8m0/jE6Frk5Nouk9FUUjE45QrFaq6TiKkLDExofC3X1rFurVJbnrTAWRZB1ehXLb51neXseXx67jqupPPpW3EqTNO0ZG+ePFi9u3dy9DAAN19fVOTI0xmTSvlMo7jkA4pJDQirmnEIhHyhcKUBI4iy147kNAq8lkisiQRi8WCboTwWHOf0jVTz2gYspC0MGu1WcfZN7KDHMdh69atFAoFrr322rrEjzNLlnGucGjByJ7hA2FgYIDVc2h09AkAqUyGpakUPb291Go19GqVATGvxrJtb0hyVxd9/f112j6N8OVPpt2fqgb3Qk1RgjJJe7vNB/9yFz/68UW88aYLWLP6KPl8ijfeNJ/580b56Y+PcvnlS1o+rxPFKTNOP5vpuC7r1q1j2/btXNvTM1XrQSSG9GoV07KIx+OzJkUSiQR5Ufv0i+Lh7KSiKJ7ubDxOTQh3VapVqmIMvW+kiihIy7LctGA9HbRolFKlMitbKEyw8MnrqqpyxRVXoKpqfXLkJLRt1e27BSbTMzHNiqBP9oQkXWZDkKUVpRNd9PLGk0mWLlvG0qVLqZlmMAh5544dtLe3BxngdDo9pf91NsRiMWzbRtf1QAxbkiSybRY3f2g399yb5J/+eR6Dgz1cfeVtfPQjCVY9G53VTXBKjVOWZUzbpn/ePHbv3s3evXtZ1WTIoWVZVHV9SqPzdIhFo8RiMU8WI5GYMTyLRaPEolGSiUTQcV+tVqm4LoosU2gxU9vs3Gq12szlHHFc5UqFB8Pk9SZJqTnVTluA6zhIM4Tdz3RPR44coX/evDklnGRRmyyJZUdN14knk8QUxVt3iodyV2cnq1au9Mj6o6MMDQ7y2337AAICRFd3d8uEBS0epyQmjvm6Vfmcwr/92yr27rNZtNDEdUZ5Yts1fOozNf7mb2QWLJr7NZkrTtl8TkmSiEajQafBRRdfzJ49exg4frz+g65LpVJBkuWWh9S6rks6lUI3jFkH+fiQZRlN08hkMrS1tZFMJnGB8YkJFFUll89TrlSoCf7sTFAUxZvAPcPsRx8TExPcd++9LFmyhHPOOWdy7eudyOQ50fparxXMFtbO5nNmO5ajR4+ycMGCWY/DFkr8FUGzq4o/lmmSTKVoy2Q8Kl6TaElVVfr7+jj33HN58YtexMaNG0kkk+zdu5f/vu02fvvAA+zbty/oJZ0OsiQF+seGrjMxIfPlry0lmazymU8+SWfHUfp6h7j1O1tZvqzEi17ccdJncTbDKW22jsViHilasD8uufRSHty0iSuvuioo8NZM06tdTpMAagbbcUil0xi1GmNjYyRauEnC8KUxYprGkSNHSKfTnrEZRqAxo/giw0JvtfHYYpEIJXHs0z3Bjx8/zuYtWzj/vPOYN2/elPcbPejJMk1fO+gZKcc3SZz5KBYKGIZBZ1fXlPfCIytMywo41JLwjjFN88Y4iHr1XJBJp8mk06wKzas5euwYu/fsQVXVYGJ5dxOvKsuyVwYzTdrbHd79zgMsnB/l8OEjFAoaXd1LSWgTvOXPDvGxv1rAkiXPjjRJGKfcOPOy7A3CVVU677mHqw8d4gFV5ZprryUm6HCqWKy3MrLP715QVZX29nZGRkYoFApkGqYotwJJkjBqNbKZjDetS/Ar/RtL13VcXQ+I26pI+SviRvO/32xU4b59+9ixcyeXbdxIu9DAbXIAddzOk+U5W+HVzrZem0mx4fDhw16njOtiiZkmtrhmjvgNZbwsuj9PxV9v+sLddRo+J4CIqnpqhX19OLYdtMDt3r2bhx95hO6urmCtmkgkvPEZsRglIXieSVuMjOTZv38/Cxdey9i4NwZRlmWWLXv2DRNOsXGqqoo6OorZ3Y0mwpZUIsGixYt58Le/5aLVq7Hj8WDN14p4k2VZIMoEyWSSYrHIRD7vNWfP0VNIeJOwYyKpIUlSIN+oMUmGNsUPqut6XUJCF0kmn+PrM0y2bdvG0PAw11x99Yyhet35hhNCjcmhGZJFPqkiMG7BhPJrvNMa/RwytX4Tsm3bOLbNkSNHOGv9evIh0W/EAywquoaaiXnB5EDc2TLd02KaLqZsNks2m2X16tXUTNNrgRsc5KmdO4lFo56h9vWRFGoIxWKRfXv3cuGFF/IHf3BMnKg0RZgc4Etf+hIf+MAH+Lu/+zs+8IEPTHl/9+7dnH322Vx88cXcd999LZ/KqdUQOnCA2EteQu0jH0F75SuDi7p2+XJSd96J/pOfoLztbUTOOcf7vCRNKT+E4Y+rc5nM/LW3tTE4NMRELjfjOPvpoIuu+mYIG2s8Hg+MNfgjCPMFMaDWtm2e2rkT23G4aMMGZFnGqNU8ATKhpRMIODd2pYSNy3uBhg9M+TzUK+wFrwnWTPCwChl9uM8yqDFLIREwcY0t8VDypUP8B0CxUMBxXbKZzKRXFHM8Z4Xr9eP61/WE0GiY0uREOf/8o5EICxYsYMGCBbiuSy6XY3BwkB07dlAsFj1h82qVVatX0y0ezLIse10tTSKwyy67DICHHnqo6SG9+93vxrZt/uEf/mFOp3JqjXPpUmIPPED129/G/tjHUDs6wDCQbr6Z3kWLeOS663ALBS41zToh4mbe0zfKxh8npmkkEwmKgoI3VxnDuUzQDhsrELQmqZEIuC4PbdlCKplk7Zo1OI7jJasan/QidJJDQlOSJHnCVojIQKqXrZxWybABPn/Ysu3AyHAcXGFcvuCY7wVdd3K6tv/A8JvgfWP1Q3hFzOY8fPAgCxcsOKF2NkOs509YarLZOjj0/2b3jgS0t7fT3t7O2rVrGR0Z4cGHHiKiqixetCi0Gc/A25sIvJ1//vnE43EefvjhKe/98Ic/5M477+Q973nPrJ05jTjl6nuxpUtxb7oJa9s21H/8R4/n+oY3YF95JWdVqxw4cIB77rmHyy67zAsBpamjDtyG/0N98qS9vZ1qtcrY+Dh9vb0tH5uvb6tp2gmt+fzJVPl8nieffJLFixezRtTIXAh0cxynfrS8bxyWZeEIjme5UsFU1RllIH3eqeSTKFyXfD4fkLf9G9UvGdW1yU2edOBJ/Zqw5Hs/SQrGvEuSFKwfwwyuo8eOBZ5kLnBFJ4nSJLnW8jaaEDXC5+e/X5dkC81XGRoc5NHHHmP+ggXEQ4LnwfFIUtP8QCQSYcOGDdx3330MDAzQL7qryuUyf/mXf0lPTw+f+tSn5nw+p9w4pWPHiP7N33j6OytWgK7Dr3+NtW8fkRe9iPPPP5+nn36au+66i42i8z/MGnKhrrTRVHVOSJtM5HIeMaHFIUC+l4pEIic8izFfKPDY5s2sP+sslixdOnkjMzmjZKbEh+O6uCJ0jEWjwYMivJ3wutQ3RN9wfAkQCYI2OD+kjYv1bkD6h8D4Zjvf8H59gxgZHSUajXrKfXOEIR5UcU1Db5ge1xLEkmfKy0wao78s8EP28EP+6aefZvfu3Zx33nne/sUyxB+m5LouiVQqmJbWiMsuu4z77ruPBx98kBtvvBGAT33qUxw9epRvfvObJ9RedsrqnEDQRpaIRrHf9z5q69fD4sXYn/0sdn8/kS9+EWnPHlauXMl5553HA7/9LUeOHKnrHmm8iaZbj7Zls0QjEcbGxlo2NENMM4bmQ4+mg288Bw4eZOuWLaxft46unp7GD7W0Ld9bKX42OBLxCN6xmMcNFkLLmqahxePExcTthHjyJwQTKi5UzGOaFpQsooKT6o/fU1S16aSuZmhmCPsPHGDJkiVIYn0mt3ieruNg6HrdkmAuD8NmfOhg21M/PPlbir8ff+IJ9u/fz+WXXUYimURRVSIiSgmHwm3TZdWZXHf6oe2uXbv4+7//ey699FL+7M/+rOVzCeOUrznZvh1t0SIKR49iAFHAlmW45hqUjRtBLMjnzZtHIpFg06ZNlEol1qxePfMP2BgaSRJtbW2MjIxQLJXItlBa0XV9cqanMJJZbwKxTtu1axeHDx8OqHi6YeC4blC+cFsN3UR4ejLhT9uafpctGFTD/3VdZ2RoiPNC0h0+cSIIs6eBP93LH8Ex15EPM312OmVFWdStH3nkEe5/YB3R6FVccukRsG0UUfN0GpYQMyUUN27ciCRJQVLoXe96F7Zt8/Wvf/2Ew/RT6zkBFi9GkiSS6TQWYAkKlwREenvrbuK2tjauueYaBgcHufveeykVi1O3N8PaMJlMkojHmRgfD5hJM8Ffb/qYjlYXrBvFWnHz5s0MDg5y9VVXkclkPMqh6zUNh4/zVMF1nGfcx9l4jQ8cOMC8+fObJnP8tZ7/J3zujm1jGIaXVBJZ68acwozHMdt5TLOdJ58Y5s477ySZTLJw0ULUiKfYH41EKJZUFNWbBhDMZlUU0jOEpn5CafPmzdx66638z//8D29/+9s5r8kkvVZx6o1TIJHJIF17LfrrXuepEYgfqRHxeJwrr7yS+fPnc8+99/LUzp0th7YAnZ2dqIrC8PDwrKGTYRhT1OH9C+avuRzxBzxd1Qd++1tsy+LKK68MSjB+RlOv1eZOJg89EE4GCSEgAZxMKqDrcvDgwZY1dQKVC9fFEHNQ/bpmuP7awobmnAuoVir88lfbuOVTL2Df/htZseJcJMlFVSu4rsp//aKNf/23fg4caPd6QcVxZGcIaX1cfvnllMtl3v72t9PV1cVnPvOZOR1bI04b45RlmWgigVmrBbo1LjQtrkuSxPJly3jhddeRLxT4zZ13MjY6CszOpFFUlY7OTmzbZiKXm/GYLMua2o0iSdihDKuPSrnMPffeSzaT4aKLLpoSNsZEJ3/LKgl1uzy5hHeYfWBuS9sSfw8ODqLF43NKergQSJpGo9HgePwznSkMDvbdJDs7BeLaOY7Dvqef5jd33cWiBTL/9PUBXOK8+73z2L3LZXBQ5WMfX8LRYxJvfP0QZ62t1D0gGkcXNoO/7iyVSvzN3/zN9MyvFnHKs7VhxNNpjEoFo1bzsmTTfM5/WsbjcS695BKOHT/OQw8/TH9/P8uXL5/1B0smk1QrlUA1frrOkbAURjhDKjesoSbGx3nwoYdYvXo1y5cvb7otv1PF0HWiqdTcPGhDVvSZIBgSNY1xzmWt5ydi9u/fz7KZpC+b7Qc89pSiEI/FoFE3eJbjmCkJVL8jr5y0detWAK684oqASPDud03w4KYS3/yWQqWS4jWv0bnqihGKJTPg2fr7asYTboQv/7lhwwZuuumm2Y9tFpxWxhlNJIjEYui53KTnCdXdoPkTdf68eXR3d7N9+3buv+8+li9f7nFpZ/A4HZ2dGLUawyMjzO/vb9ojGmaWhJud/bKE67ocP36crVu3cv755wf1rWaQJK+h258JOic8G56z6Zutz3jxP18ul8nlclxyySVzOo6aYeDYNvF4PGhd8+UxW933rPuo1Xhq1y72HzjA2jVrWBZ6cI6OKnz/+2n27jVZtEhnfDzNbbdp7N+f4ZprTLq7J695d09PU9peI/72b/8WWZafURIojNMmrAXvBo6LhlmfxtXq+iOiqpx37rmcd955HD16lDt+9SsO7N8/7ZpElmW6OjvBdRmdmGj6GZ8l06y4LeHVxp544gk2btw4o2H6iMViIMjwc/nxXF+k6iStOYGmdLo531CSxP4DB1i4cOGcwmTHcbwmdkWpU3vwlzEyc8hmN4Gu62zbto07fv1rDF3n2muvrTPMoUGFd7+nn0SywkdvHmDF8giLF1t87SuDzJtX4R/+aTXbd0xm8+e1MKno1ltv5Re/+AXveMc72LBhwwkfexinlecEiKVS3rxLUXqoY3T8+Me4Q0NNhx/5YU57Rwfnn38+tm2za/duntq1i1UrV7J06dIp3jGmaWSzWSZyOUqlUkCw9wv5tuPUC0sJOI7Dk9u2MTw8zFVXXdVyn6ksy0RUlZphTJZoWoFP0Wv9G9PCl/5sZohzTVY5ts2hQ4c8/ac5oCKGHTclg/jcYlprdAijXKmwd88eDh85woIFC7jummvQNA27YRu9fTZf+uJhEomi8IheMkpVbS7bmOe88w+zYF6Eqg7tnZ3TNtsfPnyYW2+9lX379vHtb3+bdevW8YUvfKHl450Np51xyrJMMpulOjhIuVQibRjgK/MxScgGYGwMOjomPYokBXzU9o4OLrvsMnK5HLt27WLX7t2sXLGC5cuX17E82rJZdF1ndGKCWCzm1bdEbdF1HKSGhJBlWTzy6KPYlsXVV13lzcKcw/lpmoZZLGLUai1Ln/ge5WSESjPJk8zVOI8ePUpbNjsnpQjTNLEti1gsNi0ZPkyXkyRp1vGMxVKJPbt3c2xggMWLFvHCF74wyCM0W0I4tk0yWUaWFY9xJc68Juax9PeC43o1zoUhfm0j7rjjDm6++Wba2tp4xStewZe//OWWH9St4LQzToBURwf5sTEqAwNoX/wi6mWXwR/9UTAKkGmGH8HkrMyA1dHWxiWXXEKxUGDX7t388o47WL5sGcuWL/d+QEmiq7OTgYEBhkZG6A014jaKalWF8nomm+W8iy8O5PpbnYwNBCRxXddb1yVqJSvZImzXRWnmNee43vRVAs/2O4Za/E5V6ALNJDfTeBQ+B9gfseF/JpfLsWfPHoaHh1m2bBkvuv76KWr4ssiuh48h7LklSeK1f1LAdV3yeU9+1B+rkc5kZkwE/fmf/zl//ud/3vL5zxWnpXFGolG0VAoDqHzsY6R/+UukD30It6MDajX48Ic9lfiG4UcwyR9tZMGkMxk2bNhApVxm15493HnnnXS0t7No0SLmzZtHW3s7o6OjjI2P0y1+ENd1g6d7Pp9n06ZNLFmyhDVr1gRPdwlmnVDWiLimUSsUvE6TE+3AOEE4to3axDDmGkIeP36cSCQStFS1At0wcB3HoxbOEgXUHYsf0kueGPThw4c5fPgwlmWxbNkyzj333KbkB0mSpnhOXUylSyQSdZ5bkiQMwwi4tLZte1PVTiFOS+MEb+1pVqvYsRjGG95AbPt25C9/2aNUvfGN8KIXNf1esJ6a5kZLJJOcf955nHP22QwMDHD48GEe27yZefPm0dHRQaVSIZfP05bNehIjksTQ8DCPPvIIZ599NouahDkzqQI0QyQSQVEU9Gp1bsb5DMNaPxnUzHPOBa7rsmvXLlY3EWObDpZlUTMMT/R5ll7NuvDddTEti+PHjnH40CHG83nm9fdz7rnn0tnZOW2o7z9swrNeTNGNE4vF6oxZwkv+WbbtjfKwbaKx2AnNPT2ZOG2NU0skqEajSPk8+s9/jrplC/KqVaDruL/6FdKuXXXDj3zIshyEtY31yDAURWHBggXMnz+faqXCkaNHOXjwIKVSibb2dlYsX47rOIyNj7Nz504uvvjiab2EJPbbKltFkiQ0TaNUKv1Ovafv3Z8pdW9oaMhbm/X3z0oWgFBNU5STWoHrOAwODHD4yBEGBwfp7Opi6bJlXNrXN+vxS8Ct30szPKzyzneOAN7Qq2q1iqooTY/B5/fGolEs26a7t7el8smzidPWOGOxGNLoKPKXvoRz6aVUPv5xkvfdByMjSG9+M/ziF97wo4Y1pyS6DsI6OdPdQP6TVdM0VorR7bl8nl27dvHwo49i1mrIsswF559PR5Mm2zDmml2MRaNUFcUjJbRqnM/Uc/rXpMnN3eqDxXVddu3ezeo5DPLRq1UcEUrOZFhmrcbIyAhHjhxhYGjI470uWMDZL3hBnUG5TDKEwhgZVujusafynx2HY8cNslnJO4bQdfT/5bepKaoKrkv/vHknhUX1THDaGqcsyyTXrKH0gQ+g9fVhGAY1IAIQjcKNN3rDj5rQquSGDJ/sczAbbm6nYXIxeNnbCzdsYHBggK1btxKJRtm7dy9btmyhq7ub3p4eunt6yGYyU0KquRinJEnENI1KuYxlWTPKcgQ9mrbtCWaFmrMd1xub52ex/c/66gb5XM47bzHY19D1QLXAb5qWFSXo5ZwNo6Oj1HSd+fPnt2TQpml60YGYWxOGY9uMj40xNDzM8MgIxUKBjvZ20tksl1x0EZ3TPBB9Ar0Tqv0ODSm87/39vPC6Eq99rdAucqFmuPz8v2TuvqeDd77DZN16x7+odb+fH3JblsXCJUtoa2ub9dyebZy2xgmQSqWozJ+PY1lEVJWy45DGG4KEJEFXV/O1ZRNvKcvy5Gvixp7OD6myTE9PD52dnTiuy4UXXIDtOIwMDzM0PMzT+/ZhWRY9PT309PTQ29PjPZGZ2VM3QotGPRGwarVu3EOjFpFuGJRKJU+lsCGJIQvjgknv7Z2ER3+MxmKBPIktQn3XcTAFwSJYm/nfl+VAQdA34jB279rFSjFufbazdByHSrXqaQKLzpxcPs/I8DDDw8OMjo6SzmTo6e5m/Vln0SHWkPl8vqVRh+HftKfH4h++NsCt38/yrnf30ddrUTFcPvrxOAsXGHz4gzqLl4Q8ZtgwazUsxyGlqmTa2+nq7j7lIS2c5sYpyzKpTIbC+DjJaJTadddRlCSyfsuT3+vY4MEUVcXwp3KFEKbizYZoJEI6nWZ8fJyh4WH6+vqYP38+80WSoFKpMDw8zODgINu2bSMaidDR0UG2rY1sJuO1is2mPSTWnpVKxevOEC1Klq/nymSLlaqqJOJxItGoZ5TC600H36uFC/2u6xKJRAKZUP8h4OCtyXxRMl9N0DdYvwm6WCxSLJVY5DNmZki8ua7ryZIWixi6TrFQYGxsjEg0Sk93N0uWLmXDhg1Tsqz+g6LVrhlfLkWSJDo7bd79znEefDDO332pg0SiwKtuLPKiFzElARRGUbQeJpJJ+vr7W56L82zjtDZO8Ejq5XIZwzRJpdPkczkKxaLXLC3ofTSErKqqosOUMXy+vEmrvZSpZJJCoYBpWYyOjtbN/UgkEixZsoQlS5Z4NbJCgVwuRz6fZ2BggImJCWRZpq2tLZBlbGtr84YwCW9kCYMol8vetOV4PNAdCisTmKYJkkQ0FgvWRCcCx60XkvYFyRyoY0IFOkZCa9bX6d2xYweLFi+mFhJc888jn89TyOe9a1AoUMjnUVWVTCZDtq2NhQsX8oJzzplVIsad5oE70+dlvDXo6JjC97+fZevWGOecPYpRM7njV73s2CHz+tflmL/A6wgKE1ls26YqGFu98+eTSqVOXGDsJOO0N05Jkkin0+TGx3GAZDpNqVQKpk1Loeys70n8G80KGefnPv95tm/bxjvf9S6P+yhucBf4xv/3/3H//ffzspe+lD95zWuCfauRCEgS7dksE/k8o2NjHh+3yTG2ZbPByEHwDKFarZLL58nncgwcP85TTz1FpVwmKSZxR2MxYkJ2RI1ESCQSdcZ7stGsxtksseILeymKQjQWw7FtDh85QqlUoq+vj71792JUq5TKZYqlEoZhkM5kyKbTZNvb6e/vR41EiAt5lFYQZNdbnbgt4D9sBgck3vf+fq67rsjnPrePu++KcXwgxcc/Os6Pf5Lh/3yol7/++Ahrz6pNDuB1XW86OtDT10cmkzltvCY8B4wTvNawajxOtVIhoSgkEglvMnG1SspX5PMZJOLGuucuidFxi7e91Vs7/OlrX8vN27bxox/9iAsvvDAIcW+99Vbuv/9+rr3mmjrDBG+9VjMM2traAu847Dh0dXXNevPIkpcZ1DSN/r4+LMtCNwyq1ao3NKdUwhRzJvOFAiVxk9dMEy0WC74bj8eJxmJIQDGR8P4ty6hCC9ZXS1dCfxrDXVuMQDBEs7ev6mdZFrbrYomxEaZpegOGKxUquo5RrVIR090k1yWeTDIxMeENfkqnSWcyLI3HSSSTwYxMF6+fUYaZhzg1IEhm+eH8bMYpiAl+03tvj81XvnycZLKIZds4TjuOEyUShT/5kwIvfGGZzk67zjBdx6FSqRCNRJi3YAHpdPrE9XKfBZw+RzIDJMmTJBy1bU89LxLx5irqOookeU9nSWJsXKKrwwuJJDmCxGRjczK5iI0bL+OBB+7ngfvv54orr+S/fvELbr/9di65+GLe/OY3T9lvNBIJevra29uRJMlLaIyO0t2CgUp43sq/wX11OT8TGF771gyDSqVCTCRwKtVqkCwqi3F64yLZ5BfM/YSRE/q3LTRwXFF3/fFPfgJ4dV3fqBVVrTNkVYTPEXFd29rb6dM04kI0bGhoiP3793P11VfXnZ8vLG0YBrVaDcMwME2vFzKRTrfEBW5sjg+SUzN9V7xXpxAhSYFhJjQNx62PELq67CBh5l/3cqVCzbJYtnIl6XR6ztPknm08J4wTvPClo6ODkaEhStUq6WQSR9zEEpAvxvnYR+GqqyVe9SoXUECqYdRcbv9vidtug7e+7U94+OGH+OnPfoZuGPzohz/k7LPP5h3veEdTQ/NHyPtoa2sDSSKXyzE8PExPT8+0BuqHtYZh4OB5YS0aDULWxjJENBbD0HVvNks6Xbc2M02TUrlMKpmsm2vaDH4ZxbRtfvazn/GKV7wCWfJEqSvlcjCUyf/sbOtXy7bZuXNn0zaocLLItm1yuZxXzJckTKEiMaORuQ0q9v7xuNOrWTTLEjuOQ7VSCQwzEo3yJ3+SDzLygbE3JAMLhQKJRIIFCxeekHTls43Tqp9zNqiqSntnJ66iUCmXSSQSqKpKRddpbzf53OdcqhX40Ickdu5UGRqEv/q4zaFD8MlPuWzYkOHFL34xIyMjfPvb32blypW8//3vR41EmpYFotFo4Dl9tGWztLe1YdRqDA0PNzUS3TDI5XLoQrgqm06T0LRZ15LxZBJcd4pua+ONGohEN4GE16vpExv8h4evJFdXWG/Bs+3du5f29vamNcfwMfges6O9nXg8jiHKPzNNlm6W7XVm8pxN6si2ZQX78Q0TCEjy/rZ87SQflXIZ3TBYtmJFEBWdbnhOGSd465i2ri5qtk21UiGVTCJLEuVSiUzG5K1vc3nDG1z27FE5PgDXXGvxvvdBv5iwF17wv+1tbwvqWc1+nEgkEpQYwshms3R1dFCr1RgcHAwM1HG9EfXlSgVZlkmnUh7BWpQ9Zvv5VVVFjUQwdH1KDyLUh3FzvZUC0bQwO2YWr6nrOk8//TTr169v/gHx/ZpheGJokQiJZJJUMklSMHEq1Sp6k7JW+Pv1L7n19Vrg1u9n+PJX26dkcWu1GiUxezOZSk0pXYW1aetCZ8dhZGyMdFsbK1eufEbTzJ5NPOeMEzxyQqqtDUMMx02KacTHjpf5138x+Pa3YNky6O1VuO9ei698BY4fc3hw0ya+973vBSHMHXfcUb/hRsYPkEwkghajMNLpNF2dnZiWxcDgIIZhkM/nMU2TuKbVhY+Tm5fC/2l6bgmxftbD+2zy2bk+6e0mfZyzFWR27tzJ4sWLSYZGEzQcBJZpUhGso3BmNhKJkEmniYqlQblUmmzB88slTeAn9YaHwyWwyf5OgOFhiXLFS1wpikJKNOiHjyv40+iZbZvhkRFs2+bcc89tmet7KvCcWXM2oqOnByyLUj4vmCgpvvSlChs2VPjUpx3uvivO2LjKy1+uc999Dh//mI1l3c2CBQu4+eab+fSnP80999zDi1/84nqJEf+mFz9qOpOhWCg0HTGQFg+FoaEhDhw6RHtHB22ZzIwZP79cMJ3XkgUx2zAMLNtuqsQAc++EcRxnav1uBs+ZLxQ4NjDADddfP+1nbMuiUqmgyDJJ8VCpP0gvY60aBhVd99QmRCQxHSzb5h3vXEChUC/6LUsu27ZppNMWpVKVv3hnmTWrY8Q1rT4a8EPYJudm2TaFfJ5SqcSipUubdhidTnhOek4f2e5uUuk0juMQj5f46EcTvPKVUUAHyrhOjEhUYs2q7RjmB2jvGOVDH/oQ6XSaP/6jP8JxHL7//e8337hIPGSy2fo5kw2Iinqe6zgBT3Y2zCZk5TeBVyqVutdPjHowSfBvdb3pAk888QRrV6+elsbmkyeQJFLJ5Izr6Wgs5j3IgFKlMi0nN+AP294DadmyGvG4Q3eXRSpjUyo55HIVFMUkldSCZunw3BjHcZqqH5giIVYulUgL/vTpjue0cSqRCKmODi8F7rposSKxWEyM7KshKxWGBgf553/9V7IZk4985MNksllc12XDRRexbOlStmzZwu7du5tuX5IkssJzNkOtVqNUKhGPx1m8eDERVWVoeJhCMyX6BszkPSRZJhGPB0JYUoM3Dx9fK/DXzGGe7EwE/f3792NbVp0oVhj++ELbdUnOYpj+cSqyHJQqpjNQn8BvWZ5xfvnvh3nve8cZm1DQdYvXv/4YV15ZZmSkndtv76iri87ELDJEmcowDNRIhPPPP/+kyok8W3jOhrU+ookEjmUhSVLAHErE4/yvlyY4evQo//ov30ZRVf7Pu99Nb29vULR2gT9+9av5/Oc/z/e+9z1uueUWAH76ExgZBV99IpPJsGv37ilJBSvsOUR429vby+joKLlcjlqtRkd7+/RGOEu/aTQWo1aroVerU8jnc0XQZN1A0Wtm2pVqlZ07d3LVVVc1NX7XdalUKriOQ0qMa58Wrjs5Yk+SeMUrF6KqJtlsAceRmZhoI6JCe4fN+nUGL3/5GO3tErbt3ZZf+1obWx6Pcc7ZYziuyd13p4moCSxLZSLn1Y0bBy+Fu5Fcx6Gq65imiSzWx0tWrGDh4sVzvIKnBs954wQ8kWbxA5QrFW8dpKosmD+fD334w57B+uPuIAhZ165dy7e+9S3Gxqb3QKaZplQsT9bjRBhVLpexHYdMqHVMURR6enoC/u9grUZ3Tw+R6WQoZzHQRCJBoVAIElJTtHWavNYMtm0HLCqx86ZrXhfYsmULK1asaEpjcwSjxrJtL6Sc7aHRZGKZZUV40Q0gSQUc16BcSrJ3b5S77k7y+BMOf/n+MrbwnPGEzuc+e4S774kzOpLkbR/VufljaRwX2rJW0xY9vzXQrNWo6joI4kchn6ejp4ez1q1r4YqdHnheGKcsy0SzWeyJCVKpFDVBk6vqekAiz+VyKKKzwy9FSLLM8LDLRz/qcuVVDn/0KgnHFaR0E35xG9x+u8rlV8wLSAB+JtU0TZLJ5BTPKEkSbe3tRKJRxsfHGRwcpLuzc0Yq23QGKisK8USCsqjjxZt8ppUeUttxvCFBPrNmms8fPnwYXddZ1aSROghlLYtEIkEkEplxkK/YUdOX//S1BtWKiVEro8WrxKJR/t83stz/gMvd9ySQFZtUqkQqVeLuu1I8ub2DiVyUv/qExdN7I5xzts5bb8o12Z0X5lYrFUzRIxvXNHRdJ5JIsG79+jlRCk81nhfGCV6bWLytjcrERNDYW61WqYlZHIZhBDd5UpAXAHp6JD7/Bfjxj+BDH4aebgdDhw9+UGLxYolPfQr277coFgqkUqkgVFJVdcbuhWQyiaqqjIlm4va2tqBVqxmmM9BYLEZN1ymVyyRPcIDvlJF/0xAntm3bxmWXXTblgeM4DqVy2VMzSCaJRiIzPxBa6CrRNM3jFgsliPPO09n0oES16tLensN14Ec/6kU3YpOlFFQWLjK5/oVlmjHtqoLu6OKJqMUExVOv1Vi5Zs2cxMhOBzxvjBO8BFE8m6Waz3tKCuJGqlSr3s1v27iOQ7EoEkfCi3Z2wJ//ucQjj8DXvubiuvD6N7i86AbvBhwZSZPP5+mfN88jjztO3Vjy6RCLxSbXofk8VcOgo6ODiOC0Nq5jp/OCyVTK+36l4pUsGjCtmbiTCgoR0WHTbPsusHXrVpYsXjxFAcA3TNdxSIbog033GQr9w7j11jRDww01X9GAXdF1LNvmyScVMpkx5s+vsWVLmnIlxc9+MhB8XtclDh+J8K1vZfjilzo5fLjAG97gJepsy6Kq6xhCRT6ZTKLIMrp4qC1dubLlCWinE55XxgmgxmJomQx6Pg94MptpMaV4Ynw8IH3ruo5pWSTicYrFCD/5CTz+hMuKFRKG4fKrO2DXLnj1H0NXV5enHL9qVVD4VhSlpTWfoij09vaSz+eDXs/2bJZ0Ot10xEMzA/Jrn5ZlYZgm0ZCQ9XT9qf4rtsiAKqFxdmHjcV2XY8eOUSoWp/Bnbdum4htmY6E/vE/fKEOvDQ8r9PQ0D3v/+V/SJOKAlKJmTHD4qMThwxXWnWVw/QsVbr21nucqAZrmsmpljY9+ZIw339TPT36W5obr86TTFa8x3HGIx+MBqcAwDIrlMktWrGDlypWnVbdJq3hOl1KmQ0TTiGYywc0oyzId7e1ksllsUYd0XRdD1zl8pMgnPlEhFnP4wucl1q+HxYvh85+HhQtc/vqvYWKih3w+HwwhisRiUwrds5U1stks/f39RCMRJnI5BoaGmtZEA+pag8FFYzEkQVM0LWtyLugsIaQd5tQ2YeZUq1WeePxxzr/wwjrCg23blMplr1zSaJg+/G01bHNwSOGd7+7hn/85Q7nsH5vg+Drw05+lufX7SX76c4WHHpEYH9fp7nJYu1aho2MqYye89WTKZeFCnUSiwN6ndSyhHp9Ip4MRF2atRr5YZNGSJaxateq0kBw5ETz3HictIhaPI7ku1UIBWWQq27JZchCQwg3DIJk0ede7a/R0GyhqEk9CTCIahVe9SuLqq6G9XWZ8vIvBoSEyggEUdEeE6mwu8JMfeaWY//2/pxpsJBKhr7eXYrEYeNFsk7Won6zySyD+gyAmxrKXymUy6fSkUTYRL/PhZ2oVWQbfQAUc2+bhhx9m1erVwUh1Ca/fs1wug+uSTiab6vm4Pj2uCfp6bf7p60N899Y0//sveujrtanqEo7jIisuX/nSYTo7K7hAzYBjA/Dft8G/frObo8eabtI7F9ETK8kq0aiKJMVJZ7S6mqlZqzGRy7Fg6VJWzUCieC7geek5fUQTCeKZDLa4uaOiX9E0TW/Yq5AN6exQKVcqTIyPAxNIkhF4xc5OkGWJvv5+hoaGPEGthptSzO31fIMslFPwjGpk1MVx3CCTKEkSmUyG/v5+tHicXD7P8YGB+pH04rs+28XvrJAkiUQyGdQaA0jTz1GxbRtVqEU0ergnnnySRCLByhUrgtdM06Qstp1Kp5saZsCPDSPsRV2Xjg6L970nz//+8xy7dqscPCSTSpXpaB+jo7NCRFW9a9+ZYvFCm9e9bhRZjvDTn2WmbNcyzaCndetWhSNH0hTy7axfpwTXxT/XiXyeeYsWsXr16udUZrYZnree00c0kfD6/YQHTSaTGLWa19GSSpFMJtHicXRdp1Iuc/ElVaDK6GiUVCqFJrib/X19bN++nTVr19Ztf3gEPnqzp9L5qldNvm6ZcNttEv99G3zwgw6rVk+yfPy2rp6eHorFIhO5HIPDw2TSac8j0qRfU9yAkUiEmKZh6Lon5yjWWNOtfe1mnFrg0KFDjI6McM011wSGW9V1arWaRyZPJpEkie/emmJoSOH978t5x4XXzeIzclwppOEkjlkCxsYU/uN7GbZujXDO2TkcV+fYMRXD0CgU2li0cDLiMC2LaNSiu0smnxM1Y9Xie99XkSUDkDBqcY4d7eKhR9pwHYU3vzlHtt3BtjwVwZppks/n6Z0/n9Vr1jwnGECz4XlvnACaWDOVczlwXRLxOOVKJehBVGSZZCJBXNM8z1EuU9V1RkZGiEY9I00kEkSjUYr5fECCd4GebvjCF+DHP/ZGuHT3QE2Hj3wEFi2ET38a+vulukRPOBxOJpNosRjjExNM5HLkCgWv/9NvNROfDwwC0ERyqOpr0CpKYPSNRuqKGmcY+Xye7du3c+UVV3i9rK7rrS8dh1g0SqGQIp32og1HLFP90HFkRKGry5kMJf01r6gdO67L4JDC+97fwQuvG+dvPjvOvfckGBlNsG1bB46j8IEPpvjkX42ybr0FrqfsIEsSpZKMpulomo6qmtx5p0rNjKPrMSwrSjbjsGFDjZe+pMx55xnBcONCsUjNslgsBlSdbooGJ4rfC+MEUDWNdFcXlXyeqONQ0XUqlUrdek9WFKKSNzLAtm0qlQqlUomx8XFy+TztbW0MDg0FMzT8QLK9A972Nnj0Ufja1zxH8oY3hMe5TG0VCyeTFFWlq6uLWKlEbmKC//5lgdExiz97Q4Sk7wFEt4XfNB3XNIqlEoVikUw67fVqhs73299J8uhjV3L1NfUUt5pp8uCDD7J+3TqS6TS1Wi0IkeOJBBPjGn/xrk5uuKHC6/+0JDLILrat8IMfxvnZz9J84q9GWb1mUsjaLwH5sprJRI3PfiZHR4dDNBLBdrJYVhTH8RJO//QPw3R02IA3aMgwTZ7eG8e0CmTbHG7563G6OlWigXJEsY6h5cM2TUbHx0mkUqxdvZpFixY9J7Oy0+H5cyYtQFZVUp2d6MWiJ6uRz1MslYLWr0AeQ/JEwnxdGcMwKBaLxBMJDuzfz8DgIIl4nLjovJ+YkPjJj2HrE7Bipec5f/UrrxTzx6+GeaIjrZlCvJ/KGB526OyMk4jHUZUy8Wie8TGLQj6PZbXT0cHkUB7BKU0K9lClXCaZTDI4rNDbYwsGlIuq2oCCLMuMjMh0dNhs2byZnt5eFi1ejGEY6GKGiU+a6Otz+P/+3yjf+Y8Ub/+LLvr7HHRD4h1/0cWSJRZf/LsRFsyr4bieYdqOg2Wa1ISEJnhlm/nzIkQiEUFoUAg/oH51ZwxJMpGwMK0qxSJs3ZrB0DVe/sc68+d7nq9R8ycwTMGjLhSLdPX0sHzFCnp6ep6NW+aU4vfKOH1o6TRqLIbjuuTzeYrlMmmxxgImkxsiVNM0DU3TSCQSHDp0iImJCSzLolAoUC6r/Ms/xzj33ASf+xuVX9+pMDos8eab4LZfwCf+Cv7PB6FxIFcwQlCSGBpy+NCHXa6+Gl51I0AS00yQTpe56+4Cjz5a5KUvM1m+TPE8vXiAqKrqDXyqVDh0pMYH/s8ibnhhlde9zuuKUWQH25b5/g8y/OSnSd74+kfJZA0uvPBCyqExEImGHsuuLof3v7fAbzdpfPZzWRxb4u1vz/OHL6+KJJWEUath1WqecBkew0mLxYhGIpMK9OIc//S1BSzb5uFHOohETe680zNi29Foy5ZJJJPMn9/Bn7+tyrnnGpPemJD+j/g9XMdhYmICU4SxK1aseF6sL5tBmoWXeaIthM8JOI7D8JEjFHI5T4ZS06ZXUpe8mY27du3i+PHjbNy4kaquU61WGR+rkUx5quwPblIZH9d44xu8mzSXU+nsBInm9UhbSFSOjXvr1iceF+vWmku1CgsXurz8ZSUUdZyKrpPNZGjLZtH8XkbRVuaNbND44Y+62bw5Rm+vRbl8EKRO+no0Lr/8CWxzL5dcemng4WKahiZkN8PHNjqq8N1bkzz6WDTwnNWKy4rlFV796jzZbMlTVgDUaJRoJBKEk36zsyVUAa2QR5UkCVVRUMXnHcdhcGSEiCzT3tERUBinXH8RNhu6Tm5igkQmw9Lly1mwYMHzJYxtmmr/vTZOHwOHD1OamKhjmPiepPFGyefz/Obuu7l848aA6ubPnqxWq9x7n0WhYPGiF3uJJkVIToblKBVFCbZv2zZmiIzw6GPwta+CY8Pr3wAvejHguhiGwcjoqLfmFHXLZDJJQoSj1UoFwzTRolE2b8nyN1/IkEmPcuOrXNav3c2+ffv+//bO7TeKM03jv6rqrj772LaxARtPiBxIE+LAhMBNDqNows1mpN05ZbNSoolGyc1qL1e5GEXKbf6BUS52cz0XMZpAFM2Kw252mIUQIINJIi2GYQw24La7232oqq7DXtT3FW23gWQHcAPfT7IQxu2qbvrp7/C+3/Owe/fuyEU+k06HTQer1nLz84ZYc1b5xc/KHPw0zmLR55e/qPCHP6T4jyNp3v71Mtu2BVG/ri98caU15+r1dFw49K321C2Vy1RKJXp6e6MD5isQonSEBYxt22zYtImtjz9O/jaJ0w8gSpy3IggC5mdnWV5cjPpxISy0ywYG+eo5jsP56WnKlQrP7dsXmSFLXNfFESGt0rzZEzutMnTI0HUMwyAWixFoGr7rUirr/P73Ome/Mhgc0LAtqDdgdAx+/lPID7pUxVlVx3WpCRNqNC3aUV5YgE8OmZw61UN/v8/y8hWqtRF6e67w5htNRjfHSCQSUXmo9fnLnJZms8mNGwE9PeEHxqFP0ywsmLz1q9C0bKFokMk28H0v6raSRB8+whtXF0lmrcirup7HtevX0SAcNVfFRPgtopTlnSefeoqx8fF1j+a7Byhx3o4gCJibnaUmR9DVnSVSpJrG0uIiR44e5cUXXwyPkREKWWv5XSAsM6QBtJjeea4bNhaIUoQXBBSLHh9+qPHUTo0fvaRz/LjG4qLO3/+DzpHDGocP67z9ts/QUJ10Oh1ml2pa1DBQq9VYKvn82793USh4/OhFn//8r27OTV9m965pKpXnOXKsj3/5Z4snJpyo48jzvGgKShBEgUDSNV/TdT49lKK4pPNP/1iLnpsjSlDyg0a6zt/qcLYuu4la3mvlSoWlpSV6hJVm67/bjkNZHFjXdJ3+vj4mf/jDMK7+4USJ8074vs+N+XmWFxbCs4CZTFsLlTzlcfrMGZquy7O7d7f9HrmJId0GWl9EOQWUju0yAqFUCujuDv/98//2qZRg//6wbrhc1chmoNGokUwkiIvYA9mN4wcBjuOwUGwQjzdxbJuvv2lQXHR57rkMvb291OtxctkATTwhXdPQdD0czcUIFxPTbSk0eQZU13U0MUVH01ZMw6PnLNaK0btsjY4kieu6XL12DV3XyYvYvygKotGI1qi5XI6hDRt4fNu2jgkXukesKc6HYjV9t9B1ncHhYZKZDMW5ufAMZyZz8yykeMMZhsHWxx7jyLFjXLl6lZGR0BR3RYt3EKz8O6FIdV0Pc0W4KeBGKkVPtxfVCiHA9XyyuXC6mcmEbXxNxwpHcF0PmxKEGDQgHYuxUbjGzy4v02xWSSUM4iJSIpvRSCbD8k9CbHzJe5OjpRRrK7KWKRsh3GBte5O2UfMWwgyCgBsLC7iuS1cuR6VSoVGvRy2W8ViMLpHDsnF0lA3itX0UUSPnLXAch+tzc1iVCslEos3fNAAuXrzIV3/+My88/3y4na9p4UgryyTf8VpeELQ5y7eWcySlcpmYroc+vfKbuk4gAnZt2+bixYtcm59n+/btZLJZGo1G6KIupq1ympkQzymRTBIX68Pourc65RIE2M3mHZ0XVtDSGeW6LjcWFlhYXCQei4VLhyDANE1SIhApZhhkczk2j4+T/I4JZQ8Balr7ffF9n2KxSKVYRPc8UqnUCkcBPwg4eeIE1UaDPc8+G0295Egj11qrR9C26yCSv+7gdFCt1cD3yXV3hw3hrhuFBwW+zzfffovjOExOTuL7PtlcDqvRwLJtDMOILDss28YWh5wR9yrXjTIXNC42rGLxeHSUzBfdPLd6HoGmrcz0FJticie33mhQXV4mFo8zkM+TTIVNF/I1NQyDDRs3MtjqI/xooMT5/6VarbJULOKILMeEKLZD2A53+PBhRoaHGf/BD6JG9NaD063rTynW1vVZQLh76fl+5FjXOnLKxzbqdSzLIp3JhLvBnochRrnTp0+TymTYvWsXtXodDSKnB+mMr+t6GF8henFlQpgUULQWlvfRum4WI7T0hJXdSoFsfpeN8C3vJ42wlBIzjChIyYjH2TgysuJDTtd1evN5NoyMRK/fI4YS59+CdJ4rLy7SWF4G3yeZTGKaJpVymaPHjrHz6afp7elpK1XcCU3TojVXEF5s5e6v72MLj1x5miYWixE3TRr1OidOnmR0dJRt4sRMuVQKp6stmyhNUX4B4W90G/f3QAjXbTZxff9mWch18Vs/aFY+CSDMe4kLf6WYcGyQlqUA/f39kTA1Xac/n2dwZKSjYxHuA0qcd4MgCLAsi6VikXq5DJ5HLB5nbm6O6elpCoUC3d3dUQLa9/m9cm0oyxVusxm6HsjELN+n6br09PRg6DrT09PMzs7y9OQkGzduDHdSHYd6tUqmNR9TjGye71OvVsOYh1iMtAiBkj8TnZrxvHAtK64ZiDOlqwOd7oTjOFGpRzcMukSit67r9A0MMDg8/KiLUqLEebexbZvS4iL1SoWmbbNw4wbT09Ns2bKFfD4f9ePKZnpo6aklfHE9IT7P83BEwrQvppWB2BmOm2Zk0DX18cccOniQ/fv3s+Wxx9hRKEQ1WU3TqIqe2Vw2u3LjRgg0EN1G33z7LR/+9rf83U9+wssvv7zi3SFH7yjpTIzo31WcnoimsB0Hx7aJmyaZbJZsLkdfPk9fPv9AOxTcA1Qp5W6TSCQYGh6G4WEcx2FgeJiunh7+dPw4lm0zkM9TLpcxTZO4aa78H1hVB5TxfLLNTXYRaS0jmNVocO3aNQzDYMfOnUy0+MueOHGCb77+muvXr/OXy5cpFovs27ePd955J/wBsSbUNI1kMknhySdJplJMnzvH3r17SadS6IYRXSu8xZujque6a5tIt6yNfXGPtuNEDQ7pdJrhzZsZGh4mu4ZRteLWKHHeJUzTxBwYoHdggI3j43z8u99hNRps3rwZwzDwPQ8zkWgbMVaLsG3HNghYKha5cOkSc1euEBN9uv29vSt+Zmpqivn5eXp7e8lksxSLxfabbNmgisViTExM8D8nTlCv1cIWOV3HTCbbEqkD8dg10ULLUcu2cWw7slZJptP09fezZXwc8wG3C1kvlDjvAb19fbz+5pt88cUXnDx5kr5slrHRUXpjMSzLCoVsmu35ndw0l27aNn/561+5dPEivuexZXycHT/+MYc++STqyW2NYH/99ddJpVL09fVx9epV3n///fYbk2tKMU2dnJzk6NGj/O+FCzzzzDPYlkWjXqeB+LBJJIgZxpolniAIvX0ccWxM1mkzuRz9AwP0DwyQy+Uexj7Y+4YS5z3CNE327dvHnj17OH/+PH/64x/RXJd8Xx+mSEJLpdNhkG8QRAZWlUqFyvIypVKJoaEhnt65k/58vm3313PdFWvKiSeeoFwqhSWeIMBr3WCCtjVlEAQUCgXipsmXp06xd+/em964to0jhCc3qGKiUUHu5DYsKyyrCKvQrp4e8kND9Pb1rRlTofj+KHHeYwzDYMeOHRQKBS5fvsz8/DyLxSJXi0UqFy5Qq9VImSa5XI5cNktXVxcjmzZFO5trEQQBTcdZ8T3LssLWQHH0ymgR8+oJqUbYMGAmEhQKBc5+9RWe50UnZWKxGGnfx2k2sYTpV7UanuE0xIjaOzBArquLXFdXNBOINr8UdwUlzvuEpmmMjY0xtip+znVdLHFou7a8jGNZNC0rdBoQJQ9DNqOLxzgi9doXgbhh322YCfNdRyydUKDP7NrFl19+ydfnz/NkoRA15HvCeiRumvR1d5PJ5cgKz96kqKEqId5blDjXmVgsRjabJZvNks/nsUWPrG3bNGo1qqUSdTFKapqG6/v4hDXExcVFMrkclgijjZtm23EweXpF+vAEvh+5xQeex7aJCTKZDKdOn2bT6CiappHOZunO58lks1EPrhLj/UeJs4OQZQ5phtx6AFr+WXNdLs7OkszlcDWNUqUShQzZose2Ydsk02l0w6Baq908bSIc+oyWDp7uwUHi2SxThw7xr7/5TRiZGI/fPhRXcV9Q4uxgNE2LxNLKzKVLbN6yhcHBQZrNZuRAIDdvri4scOb8ecYnJti6ffvNI2HiSxflG2kbMjc3h6ZpawbmKtYPJc4HFF3Xb2menEgkqFQqYafQHQQ3MzPDuXPnePfdd+/FbSr+BtR+9yPOgQMHAHj11VfX+U4Uq1HifMQ5cOAAw8PDbdmcivVHTWsfEqamppiamgJgfn4egOPHj/PGG28AYQDwBx98sOIxxWKRzz//nLfeekvtxHYgSpwPCWfOnOGjjz5a8b2ZmRlmZmYAGBsbaxPnwYMH8TxPTWk7FDWtfUh47733ot3atb4uXbrU9pgDBw6QzWZ56aWX7v8NK+6IEucjimVZfPbZZ7zyyivqwHOHosT5iHL27Fm2bt3Ka6+9tt63orgFas35iLJnzx7OnDmz3rehuA1KnA8YL7zwAkAUoqR4eFEeQgrF+rNmHUutORWKDkWJU6HoUJQ4FYoORYlToehQlDgVig5FiVOh6FCUOBWKDkWJU6HoUJQ4FYoORYlToehQlDgVig7lTo3vyrtCoVgn1MipUHQoSpwKRYeixKlQdChKnApFh6LEqVB0KEqcCkWH8n/aCyddjE31jgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%matplotlib inline\n",
    "ax = plt.axes(projection='3d')\n",
    "\n",
    "from qiskit.visualization.bloch import Bloch\n",
    "B = Bloch(axes=ax)\n",
    "\n",
    "def s2c(x):\n",
    "    bloch = [1, x[0], x[1]]\n",
    "    r, theta, phi = bloch[0], bloch[1], bloch[2]\n",
    "    bloch[0] = r * np.sin(theta) * np.cos(phi)\n",
    "    bloch[1] = r * np.sin(theta) * np.sin(phi)\n",
    "    bloch[2] = r * np.cos(theta)\n",
    "    return bloch\n",
    "\n",
    "def c2s(bloch):\n",
    "    x = [np.arccos(bloch[2]), np.arctan(bloch[1]/bloch[0])]\n",
    "    return x\n",
    "\n",
    "vecs = np.array(list(map(s2c, X)))\n",
    "for v in vecs[y==0]:\n",
    "    B.add_annotation(v, text='A', color='r')\n",
    "for v in vecs[y==1]:\n",
    "    B.add_annotation(v, text='B', color='b')\n",
    "# B.add_annotation(vecs.mean(axis=0), text='M', color='k')\n",
    "vecA = vecs[y==0].mean(axis=0)\n",
    "vecA = vecA/np.linalg.norm(vecA)\n",
    "vecB = vecs[y==1].mean(axis=0)\n",
    "vecB = vecB/np.linalg.norm(vecB)\n",
    "vecP = (vecA-vecB)/np.linalg.norm(vecA-vecB)\n",
    "vecQ = -(vecA-vecB)/np.linalg.norm(vecA-vecB)\n",
    "#B.add_annotation(vecP, text='P', color='r')\n",
    "#B.add_annotation(vecQ, text='Q', color='b')\n",
    "\n",
    "\n",
    "vecs = np.array(list(map(s2c, Xt)))\n",
    "for v in vecs[yt==0]:\n",
    "    B.add_annotation(v, text='*', color='r')\n",
    "for v in vecs[yt==1]:\n",
    "    B.add_annotation(v, text='*', color='b')\n",
    "\n",
    "B.render()\n",
    "plt.savefig(home / f'Desktop/{DEVICE}/{DATA_TYPE}_bloch.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Stt = Xtt[:, 0]\n",
    "St = Xt[:, 0]\n",
    "offset = real_fvec.mean()\n",
    "offset=0\n",
    "\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(Stt[:], svm_fvec, color='k', label='theory')\n",
    "plt.scatter(St[yt==0], exact_fvec[yt==0], c='r', marker='o', label='exact, A')\n",
    "plt.scatter(St[yt==1], exact_fvec[yt==1], c='b', marker='o', label='exact, B')\n",
    "plt.scatter(St[yt==0], sim_fvec[yt==0], c='r', marker='s', label='sim, A')\n",
    "plt.scatter(St[yt==1], sim_fvec[yt==1], c='b', marker='s', label='sim, B')\n",
    "plt.scatter(St[yt==0], real_fvec[yt==0] - offset, c='r', marker='d', label='real, A')\n",
    "plt.scatter(St[yt==1], real_fvec[yt==1] - offset, c='b', marker='d', label='real, B')\n",
    "plt.scatter(St[yt==0], uniform_fvec[yt==0], c='r', marker='^', label='uniform, A')\n",
    "plt.scatter(St[yt==1], uniform_fvec[yt==1], c='b', marker='^', label='uniform, B')\n",
    "plt.axhline(0, 0, 1, color='k', linestyle='--')\n",
    "plt.legend(loc='best', ncol=4)\n",
    "plt.xlabel(r'$\\theta$')\n",
    "plt.title(DATA_TYPE)\n",
    "plt.savefig(home / f'Desktop/{DEVICE}/{DATA_TYPE}_result.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "# old result\n",
    "old_real_fvec = np.load(f'./summary_ipynb/2021/06 June/03 Thu/naive(montreal)/{DATA_TYPE}/regression.npy').mean(axis=0)\n",
    "from classifiers.datasets.dataloader import Example_4x2\n",
    "old_X, old_y = Example_4x2(DATA_TYPE=='balanced')()\n",
    "\n",
    "sim_qasvm.parameters = np.array(real_storage.data.iloc[15][2:6])\n",
    "new_sim_fvec = sim_qasvm.f(Xt)\n",
    "sim_qasvm.parameters = np.array(real_storage.data.iloc[-1][2:6])\n",
    "new_sim_fvec2 = sim_qasvm.f(Xt)\n",
    "if len(new_sim_fvec)!=len(yt):\n",
    "    new_sim_fvec = new_sim_fvec[4:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Stt = Xtt[:, 0]\n",
    "St = Xt[:, 0]\n",
    "old_S = np.where(old_X[:, 1]%(2*np.pi)>np.pi, ((-1)**(DATA_TYPE=='unbalanced')*old_X[:, 0])%(2*np.pi), ((-1)**(DATA_TYPE=='balanced')*old_X[:, 0])%(2*np.pi))\n",
    "plt.figure(figsize=(10, 5))\n",
    "plt.plot(Stt[:], svm_fvec, color='k', label='theory')\n",
    "plt.scatter(old_S[old_y==0], old_real_fvec[old_y==0], c='r', marker='*', s=100, label='2021/06, A')\n",
    "plt.scatter(old_S[old_y==1], old_real_fvec[old_y==1], c='b', marker='*', s=100, label='2021/06, B')\n",
    "plt.scatter(St[yt==0], new_sim_fvec[yt==0], c='r', marker='s', label='@ real step 15 (Sim), A')\n",
    "plt.scatter(St[yt==1], new_sim_fvec[yt==1], c='b', marker='s', label='@ real step 15 (Sim), B')\n",
    "plt.scatter(St[yt==0], new_sim_fvec2[yt==0], c='r', marker='^', label=f'@ real step {len(real_storage.data)} (Sim), A')\n",
    "plt.scatter(St[yt==1], new_sim_fvec2[yt==1], c='b', marker='^', label=f'@ real step {len(real_storage.data)} (Sim), B')\n",
    "plt.scatter(St[yt==0], real_fvec[yt==0] - offset, c='r', marker='d', label='real, A')\n",
    "plt.scatter(St[yt==1], real_fvec[yt==1] - offset, c='b', marker='d', label='real, B')\n",
    "plt.axhline(0, 0, 1, color='k', linestyle='--')\n",
    "plt.legend(loc='best', ncol=4)\n",
    "plt.xlabel(r'$\\theta$')\n",
    "plt.title(DATA_TYPE)\n",
    "plt.savefig(home / f'Desktop/{DEVICE}/{DATA_TYPE}_interp.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    },
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/quic/anaconda3/envs/qiskit/lib/python3.9/site-packages/qiskit/aqua/__init__.py:86: DeprecationWarning: The package qiskit.aqua is deprecated. It was moved/refactored to qiskit-terra For more information see <https://github.com/Qiskit/qiskit-aqua/blob/main/README.md#migration-guide>\n",
      "  warn_package('aqua', 'qiskit-terra')\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<h3>Version Information</h3><table><tr><th>Qiskit Software</th><th>Version</th></tr><tr><td><code>qiskit-terra</code></td><td>0.18.3</td></tr><tr><td><code>qiskit-aer</code></td><td>0.9.1</td></tr><tr><td><code>qiskit-ignis</code></td><td>0.6.0</td></tr><tr><td><code>qiskit-ibmq-provider</code></td><td>0.17.0</td></tr><tr><td><code>qiskit-aqua</code></td><td>0.9.5</td></tr><tr><td><code>qiskit</code></td><td>0.31.0</td></tr><tr><th>System information</th></tr><tr><td>Python</td><td>3.9.2 (default, Mar  3 2021, 20:02:32) \n",
       "[GCC 7.3.0]</td></tr><tr><td>OS</td><td>Linux</td></tr><tr><td>CPUs</td><td>8</td></tr><tr><td>Memory (Gb)</td><td>15.556747436523438</td></tr><tr><td colspan='2'>Fri Dec 03 00:19:43 2021 KST</td></tr></table>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div style='width: 100%; background-color:#d5d9e0;padding-left: 10px; padding-bottom: 10px; padding-right: 10px; padding-top: 5px'><h3>This code is a part of Qiskit</h3><p>&copy; Copyright IBM 2017, 2021.</p><p>This code is licensed under the Apache License, Version 2.0. You may<br>obtain a copy of this license in the LICENSE.txt file in the root directory<br> of this source tree or at http://www.apache.org/licenses/LICENSE-2.0.<p>Any modifications or derivative works of this code must retain this<br>copyright notice, and modified files need to carry a notice indicating<br>that they have been altered from the originals.</p></div>"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import qiskit.tools.jupyter\n",
    "%qiskit_version_table\n",
    "%qiskit_copyright"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false,
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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nALOAN4GHgT+IiBskXR8RswEknQpcCbwnIlok/TPwUUmPAP+LzMjxXcDjwIu93cmehtWVwNXAH0bEJkmTgG/09kOtML22cTdXfP9pdu9vBaBI8O9/dC7vPrkqx5WZ9WsLgO8mj+9NtqcA34uIVoCI2C7pDGBjRCxO2nYDSLqEzIjvy5L3GApMB5qB5yJiddLvHjJHcPd3+vyLyATSYkkAg8iMGD8XeCIi6pPX3wfM6O1O9iiskoC6CzhH0geTHfA1Kzsmv31968GgAmgL+OfHV3H2pOGUlRTnsDKz/knSCOC/AWdICqAYCGDxsbwN8N8jYlGn956bvFdHnbfbX39H5xHikj58DDUcVU9nsLgCeA64HLgCeLZDCpv1yM69zV3atjU20drW3f//ZtYDlwF3RsTkiDgpIiYCbwAvA9dJGgAHQ20FMFbSOUnb4OT5RcBnJZUk7TPaR38DcyRNSS79XElmEAdAS3t/4FHgMkmj2j8rGS3+LHCBpJFJ38uPZ0d7erHgK8A5EXFNRHyCzHnMvz6eD7bCc/7M6i5tf/ieKVSU9fRstJl1sgB4sFPbT4GxwFpgiaSXgasjoplM4PxT0vYIMBD4IbAceEHSK8D3efus22LgFuBVMiHY/lm3Je99V0QsB24EfiVpSfK+YyNiI/BV4Gngd8l79Joyg/yO0klaGhFndNguAl7u2JZrNTU1UVtbm+sy7AiaWg7w1Kpt3PzrlTTsb+Xa86dyyWmjGVFRluvSzNJIOf3wzGnAv4iID+ayjnY9/ZX2YUmLgHuS7SuBh7JTkuWrspJiLjxlFHOmjKD1QBtDy0tzXZKZ9RNHDCtJ04DREfGXkv6AzEgQyBzW3ZXt4iw/+bSfWfpFxBPAEzku46CjXbO6GdgNEBEPRMQXIuILZM5b3pzd0swyGptaaGo9kOsy7AjW79jLm9saaWlty3UplqeO9ivu6IhY2rkxIpZKOik7JZllbG1oYtHyTfz4qTcZN2wgn507jZrJwykqyumpfOtg974WHnxxHd9YtJJ9LQe48pyJfG7uyYwfXp7r0izPHO3IatgRnhvUh3WYdfHgS+v5yoOvsGJzA4+vqOejP3yGZRt25bos6+DFtTv4m4XL2dPUyoG24O5n1/LAi+tzXZbloaOFVa2kP+7cKOmPgOezU5IZ1Dfs57YnVx/S1nIgWLLeYZUmz76xvUvbT59fx65u7qkzOx5HOw34eeBBSR/l7XCqAUqBj2SxLitwJcVFlJd2ndVi4ADPdJEmk0d2Pd13ypghDOzmu7P+SdJIMjf+AowBDgD1yfac5P6trDva4oubI+LdZCYjXJP8+V8R8a6I2HS0N5c0L5mtt07SDd08XybpvuT5Z9uvg0kqkXSHpKWSXk0m0bUCMqy8lC/+3sxD2kZWlHLWxKE5qsi6c96UkUwfVXlwu6K0mM/MnUqZf6nIGxGxLSJmJxPXfg/4Tvt2RDS3z5KRbT26KbhXb5yZIn4lcDGwjsyd0AuSu53b+/wJcGZEfEbSVcBHIuJKSVcDH4qIqySVk7m7em5ErDnc5/mm4Pyzr7mVF9/ayW9W1DNqyEDeN62KGWO8Mk3abNi5j1c37qappY3poyuZPtrfUR/p1Uiimpqaq4GvA5PIzGLx5dra2rv7pCDpq8Ae4HRgP/AOMrNT7Ab2RMQ3k36vAB+MiDWSPgb8KZkzcs8CfxIRxzy8N5uJOAeo6zBj771kprJf3qHPfDLTcUBmJt9blJm2N4CKJLEHkZn9d3cWa7UUGlQ6gHefXOVZ2VNu3LBBjBvm8VZpkATVD4D287OTgR/U1NTQV4HVwQTg3RFxIAmxLg63fAi9WLw3mwsJjQfe6rC9Lmnrtk8ylf0uYCSZ4GoENpL5zeCbEdHlSq6kayXVSqqtr6/v/LSZpdCW3ft57o3tLF2/i8bm1qO/wI7F13k7qNqVJ+197Sc9OELquHzIS8n21N58WFqnEphD5iLeOGA48FtJv24/SmsXEbeRmVCRmpoaT91tlnKvbdzNtXfWsnb7PgA+eu4k/sfFM6iq9PyQfWTSMbYfj8YOj1s59OBnYPJ3t8uH9EY2j6zWAxM7bE9I2rrtk5zyGwpsI7PQ48MR0RIRW8icE63JYq1mlmVNrQf4p8fqDgYVwF3PruXlt3bmrKaW1jbWbG1k7bZG2vJjqZq1x9jeV9YA7wSQ9E4yiz/C4ZcPOWbZDKvFwPRkLZRS4CpgYac+C4FrkseXAY9FZsTHWjILipGsq3Ie8FoWazWzLNu1t4WnVm3t0r6qfk8OqskMDPnaL5bz/m//hktufpLv/WYVOxr7/f1hXwb2dmrbm7Rn00+BEZKWAdeTGVzH4ZYP6c0HZO00YES0SrqezMJexcDtEbFM0k1AbUQsBH4E3CmpDthOJtAAbgX+NdlxAf8aEUuyVauZZd/Q8hLeM62Kny/ZeEj7ydWVh3lFdv3ylY38+Ok3AWhtC/5h0QpOrq7g907v1c/SVKitrb27pqYGsjQaMCK+epj2fcAlh3nuPuC+4/3srF6zioiH6LSUSET8zw6P99PN6pERsae7djPrv8oGFHP9hdNYun4Xb27L/PL/sfMmcdbEYSe8lv0tB3jgha7TQj2+or5fhxXQPuqvr0f+5VxaB1iYWR46ZewQfnLdu3hz+14GlRQztaqC8hwsGVNSXMTp44ewbMOhd8TM9H18qeWwMrMTatSQgYwaMvDoHbOouEh84ryTWLRsMzv3tgBw0shyLphRndO67PAcVmZWkE4bP5QH/+Q9rNi0mwHFRZw6Zgjjh/vm5rRyWJlZwZpSVcGUqopcl2E9kM2h62ZmZn3CR1ZmZnZEkg4AHVeN//DhJhaXtCci+vx+BIeVWZZs3LmPDbv2M7y8hJNGVlBU1KtJtM3SYF+yREjOOKwKwJbd+1m5uQFJTB9VmfORWIVg8Rvb+exdz7N1TzMDS4r43x8+gw+dNZZSr/NkWVRTU1MK/CzZvBz4SfJ4fm1tbZ9NzyGpMvmc4UAJcGNE/KxTn7FkbgYeQiZrPhsRv5V0CZk1EsuAVcCnkntrj8hhledW1+/hM//+PCs3Z/5fmDm6kn/52NlMzdGsAYVgy+79/Nm9L7J1T+Znw/6WNr54/8vMGjuYWeMOv3jknv0t7GlupaqijAHFvpxsvfIz4ILk8Toya0i1t196HO87KJk1HeANMkH4kYjYLakKeEbSwjh0gcSrgUUR8X+S9Q3Lk743Au+PiEZJfwV8AbjpaAU4rPLcL5duPBhUACs27+GXr2zicxdOy2FV+a2+oYkNu/Yf0tYWsH7nvm7DKiJYvGY7f/vL11hVv4f5Z43j0++dykkepWa9Nyj5A7DvSB176JDTgJJKgK9LOh9oI7Pc02ig4wryi4Hbk77/GREvSboAmAX8LrN0IaXA0z0pwL++5bln3uiyDBjPrN6Wg0oKx/CKUqoqS7u0jz7M6dcVmxv4+I+e48W1O9m9r5U7n1nLNxa9RlPLMS+mamSOULc2NJGtVdBT7nIyi9V21ExmovC+9FGgGjg7CbHNvL0sCAAR8SRwPpnVNf5N0ifIzPX6SETMTv7MiohP9+QDHVZ5bt5pY3rUZn1n3LBBfPPysxhYkvnnVST4yu+fyozR3Z96rduyh6bWtkPaHnplE+t39sUvxIXjQFvwX3Vb+egPn+XSf/wtN//6dTYU3n/Dn/D2qb92pWQWtO1LQ4Etyeq/F5JZkfgQyVIgmyPiB8APySwh8gzwHknTkj4Vkmb05AN9GjDPzZ05io+8YxwPvrgBgI+8YxxzZ47KcVX574IZ1Tz0p+9j3Y59jKwsZVp1JWUl3Q+uqCzt+s9wyMASBh6mv3Vv2YZdXHP7cxxI1qX67qOv03Kgjb+4ZGYhjsTcR+aIqushft+4C/i/kpYCtXS/hNNc4C8ltQB7gE9ERL2kTwL3SGpfcfNGkiVFjsRhlefGDx/E1z9yJtedfzIAk0dWMKjUPwSzTRJTqyt7NJDl1HFDqJk8nNo3dxxsu/H3T2XcME/9cyxWbGo4GFTtfvz0m3z8vMmMLZz/lvM5zGjA43nTzvdNRcRW4F1H6hsRdwB3dPP8Y8A5x1qDw6oADCot5pSxQ3Jdhh3G6CED+ccF7+DldTupb2hi5ujBnDHh8KMGrXsVZV1/CRteUULpgMK52pEMT+846u94RgCmisPKLAXGDRvkI6njdPr4YZw0spw1295eKPfGD5zKyMqyI7zK+guHlZnlhUkjyrnjU3N4fu0Otjc2c9aEYZzpI9S84bAys7wxuaqCyb4/LS8VzslcMzPrtxxWZmaWeg4rMzNLPYeVmZmlnsPKzMxSz6MBraC9tX0vTa0HGDdsEOXdTHtkZungf51WkBqbWln40ga+/tCrNDS1ctEpo7jxg6cypcrrfJmlkU8DWkFaun4XX3pwKQ1NrQA8+toWvvfEalo6zX5uZungsLKCVLel6yrav1i6ka17mnJQjZkdjcPKCtKowV3ni5sxupLKgT4zbpZGDisrSGdOGMZ7p1Ud3B5YUsSXLj2VwQNLcliVmR2Of420gjRm6EC+c+VsXtu0m8amVk6urmT66MG5LsvMDiOrYSVpHvBdoBj4YUT8Xafny4AfA2cD24ArI2KNpI8Cf9mh65nAOyPipWzWa4WlenAZ1YOrc12GmfVA1k4DSioGbiWz+NcsYIGkWZ26fRrYERHTgO8Afw8QEXdFxOyImA18HHjDQWVmVriyec1qDlAXEasjohm4l65LK8/n7WWP7wcukqROfRYkrzUzswKVzbAaD7zVYXtd0tZtn4hoBXYBIzv1uRK4p7sPkHStpFpJtfX19X1StJmZpU+qRwNKOhfYGxGvdPd8RNwWETURUVNd7WsPZmb5KpthtR6Y2GF7QtLWbR9JA4ChZAZatLuKwxxVmZlZ4chmWC0GpkuaIqmUTPAs7NRnIXBN8vgy4LGICABJRcAV+HqVmVnBy9rQ9YholXQ9sIjM0PXbI2KZpJuA2ohYCPwIuFNSHbCdTKC1Ox94KyJWZ6tGMzPrH5QcyPR7NTU1UVtbm+syzMz6SueR0QUt1QMszMzMwGFlZmb9gMPKzMxSz2FlZmap57AyM7PUc1iZmVnqOazMzCz1HFZmZpZ6DiszM0s9h5WZmaWew8qO2669zby1fS+Nza25LsXM8lTWJrK1wrD4je38z4Wv8OrGBi6YUc2XP3AKM8cMyXVZZpZnHFbWa6vr93DNvz7H3uYDAPxmZT31DU3c9cfnMry8NMfVmVk+8WlA67U12/YeDKp2yzfuZv2OfTmqyMzylcPKem3wwK4H5gNLiqgoLc5BNWaWzxxW1mszRg/m8poJh7R9+QOnMnlkRY4qMrN85WtW1mtDB5Vww6Wn8KEzx7GpYT8njaxg1tghFBV5zTgz61sOKzsuIyvKeN+M6lyXYWZ5zqcBzcws9RxWZmaWeg4rMzNLPYeVmZmlnsPKzMxSz2FlZmap57AyM7PUc1iZmVnqOazMzCz1PIOFWQ/VNzTxxtY9DCgu4uTqSoYOKsl1SWYFw2Fl1gN1Wxq4/u4XeW1TAwAXzxrFV/+/0xk/fFCOKzMrDFk9DShpnqQVkuok3dDN82WS7kuef1bSSR2eO1PS05KWSVoqaWA2azU7nLa24N7n3joYVACPLN/Cs29sy2FVZoUla2ElqRi4FbgUmAUskDSrU7dPAzsiYhrwHeDvk9cOAP4d+ExEnAbMBVqyVavZkexraeU3K+u7tL+4dueJL8asQGXzyGoOUBcRqyOiGbgXmN+pz3zgjuTx/cBFkgRcAiyJiJcBImJbRBzALAfKSwdw0amjurSfPXl4DqoxK0zZDKvxwFsdttclbd32iYhWYBcwEpgBhKRFkl6Q9MUs1ml2RJK4omYiZ00YdrBt/uxxnDd1ZO6KMiswaR1gMQB4L3AOsBd4VNLzEfFox06SrgWuBZg0adIJL9IKx9TqSv7tU+fwxtZGSgYUMXVkBRUD0/rPxyz/ZPNf23pgYoftCUlbd33WJdephgLbyByFPRkRWwEkPQS8EzgkrCLiNuA2gJqamsjCPpgdNLyilOEVpbkuw6wgZfM04GJguqQpkkqBq4CFnfosBK5JHl8GPBYRASwCzpBUnoTYBcDyLNZqZmYplrUjq4holXQ9meApBm6PiGWSbgJqI2Ih8CPgTkl1wHYygUZE7JD0bTKBF8BDEfGLbNVqZmbppsyBTP9XU1MTtbW1uS6j39vb3MrSdbtYvnE3owaXcdbEYUwYXp7rsswKkXJdQJr4CrEd4qGlm/iLn7x8cPvMCUP5/sfPZuxQz9RgZrnjiWztoI079/G/f3HopcEl63axfMPuHFVkZpbhsLKDmlrb2L2v60Qhe5t9P7aZ5ZbDyg4aO2wgH5596H3bZQOKmD6qMkcVmZll+JqVHVQ2oJjPv386IypKeeDF9UytquCL82Yyc8zgXJdmZgXOowGtiwNtwbY9TZSXFVNZ5jWb0qitLdiwax8RMH7YIIqKPHAsD/lL7cBHVtZFcZEYNcQrsqTV1oYm7lm8llsfryMCrrvgZD5+3iSqB/s7s/zla1Zm/cxTq7byrV+tZH9LG02tbfzjo6/zRDdLmJjlE4eVWT+z8OUNXdoeeH5dDioxO3EcVmb9zKxxQ7q0nT5+aA4qMTtxHFZm/czvnzGO6sFlB7dHVJTyB++ckMOKCkNbW/D65gYee20zS9btZG9z6xH7t7S2sXJTA8++sY31O/adoCrzlwdYmPUzM8cM5v7r3sWrmxqICE4ZO4QpVRW5LivvPbFyC5/99xdoam0D4M8ums6150+loqzrj9G9za3c89xa/vah12htC0ZWlHLbJ2q8uvRx8JGVWT80uaqCeaeP4dIzxjqoToANO/fxxfuXHAwqgO8++jorNzd023/Fpga+9vNXaW3L3Bq0rbGZL97/Mtv2NJ2QevORw8rM7Ch27Wth657mLu1bdncfPuu6Oe23qr6R7Y1d38N6xmFlZnYUowaXcVLVoUvlSDBxRPerEYwb1rX9pKpyRnil6V5zWJlZt1oPtB29U4EYWVnGd66YzfgkhCrLBvCdK2YzbVT3U5GdMmYwfzVvJu0TiwwdVMI3/v+zGFlZ1m1/OzpPt2Rmh6jb0sCDL6znqVXb+MAZY5l3+hgmjvACnABbdu9n4679DC0v4aSRR75W2NRygNVbG9mxt5mJw8t789/Q0y114NGAZnbQpl37uPbHz7N6ayMAL761k+fX7uBbl5/V7ai3QjNqyMAeT0VWVlLMqWO73hNnvePTgGZ2UN2WPQeDqt3Dr2zizW2Nh3mF2YnhsDKzg4q7mb1dgiL5jJTllsPKzA6aNmowZ3SauumKsyd0GQlndqL5JLSZHVQ9uIxbFryDx1Zs4fk1O5h7SjXvnVbNwBL/qLDc8mhAM7N08rnXDnwa0MzMUs9hZWZmqeewMjOz1HNYmZlZ6jmszMws9RxWZmaWeg4rMzNLvayGlaR5klZIqpN0QzfPl0m6L3n+WUknJe0nSdon6aXkz/eyWaeZmaVb1m5Ll1QM3ApcDKwDFktaGBHLO3T7NLAjIqZJugr4e+DK5LlVETE7W/WZmVn/kc0jqzlAXUSsjohm4F5gfqc+84E7ksf3AxdJnjHTzMwOlc2wGg+81WF7XdLWbZ+IaAV2ASOT56ZIelHSbyS9r7sPkHStpFpJtfX19X1bvZmZpUZaB1hsBCZFxDuALwB3S+qyillE3BYRNRFRU11dfcKLNDOzEyObYbUemNhhe0LS1m0fSQOAocC2iGiKiG0AEfE8sAqYkcVazcwsxbIZVouB6ZKmSCoFrgIWduqzELgmeXwZ8FhEhKTqZIAGkqYC04HVWazVzMxSLGujASOiVdL1wCKgGLg9IpZJugmojYiFwI+AOyXVAdvJBBrA+cBNklqANuAzEbE9W7WamVm6eT0rM7N08sjoDtI6wMLMzOwgh5WZmaWew8rMzFLPYWVmZqnnsDIzs9RzWJmZWepl7T4rM0uH/S2tLFm3i+UbG6iuLOWsicOYMLw812WZHROHlVmee/iVzXz+vpcObp8+fgg/+HgNY4cNyl1RZsfIpwHN8tjm3fv52s+XH9L2yvrdLNuwO0cVmfWOw8osjzW1tLFzX0uX9sbm1hxUY9Z7DiuzPDZmaBmXnX3oMnKlxUVMH1WZo4rMesfXrMzyWOmAYj534XSGDCzh/ufXMXlkOTdceiqnju2yPJxZqnkiW7MCcKAt2LqnifLSYgYPLMl1OdYznsi2Ax9ZmRWA4iIxesjAXJdh1mu+ZmVmZqnnsDIzs9RzWJmZWeo5rMzMLPUcVmZmlnoOKzMzSz2HlZmZpZ7DyszMUs9hZWZmqeewMjOz1MubuQEl1QNv9uKlVcDWPi4nrbyv+adQ9hMKZ1/b93NrRMzLdTFpkTdh1VuSaiOiJtd1nAje1/xTKPsJhbOvhbKfx8qnAc3MLPUcVmZmlnoOK7gt1wWcQN7X/FMo+wmFs6+Fsp/HpOCvWZmZWfr5yMrMzFLPYWVmZqlX0GElaZ6kFZLqJN2Q63qySdIaSUslvSSpNtf19BVJt0vaIumVDm0jJD0i6fXk7+G5rLGvHGZfvyppffK9viTpA7mssS9ImijpcUnLJS2T9GdJe159r0fYz7z7TvtCwV6zklQMrAQuBtYBi4EFEbE8p4VliaQ1QE1E5NVNlZLOB/YAP46I05O2fwC2R8TfJb+EDI+Iv8plnX3hMPv6VWBPRHwzl7X1JUljgbER8YKkwcDzwIeBT5JH3+sR9vMK8uw77QuFfGQ1B6iLiNUR0QzcC8zPcU12jCLiSWB7p+b5wB3J4zvI/ADo9w6zr3knIjZGxAvJ4wbgVWA8efa9HmE/rRuFHFbjgbc6bK8jv/9HCeBXkp6XdG2ui8my0RGxMXm8CRidy2JOgOslLUlOE/brU2OdSToJeAfwLHn8vXbaT8jj77S3CjmsCs17I+KdwKXA55JTSnkvMue58/lc978AJwOzgY3At3JaTR+SVAn8FPh8ROzu+Fw+fa/d7GfefqfHo5DDaj0wscP2hKQtL0XE+uTvLcCDZE6D5qvNyfWA9usCW3JcT9ZExOaIOBARbcAPyJPvVVIJmR/gd0XEA0lz3n2v3e1nvn6nx6uQw2oxMF3SFEmlwFXAwhzXlBWSKpILuEiqAC4BXjnyq/q1hcA1yeNrgJ/lsJasav/hnfgIefC9ShLwI+DViPh2h6fy6ns93H7m43faFwp2NCBAMiT0ZqAYuD0i/k9uK8oOSVPJHE0BDADuzpd9lXQPMJfMsgqbgb8B/hP4D2ASmWVjroiIfj8w4TD7OpfM6aIA1gDXdbiu0y9Jei/wW2Ap0JY0f5nM9Zy8+V6PsJ8LyLPvtC8UdFiZmVn/UMinAc3MrJ9wWJmZWeo5rMzMLPUcVmZmlnoOKzMzSz2HlVlC0leS2a+XJLNdnyvp85LKc12bWaHz0HUzQNK7gG8DcyOiSVIVUAo8RR7OVm/W3/jIyixjLLA1IpoAknC6DBgHPC7pcQBJl0h6WtILkn6SzOvWvl7YPyRrhj0naVqudsQsHzmszDJ+BUyUtFLSP0u6ICL+EdgAXBgRFyZHWzcC708mBa4FvtDhPXZFxBnALWRmRjGzPjIg1wWYpUFE7JF0NvA+4ELgvm5Wjz4PmAX8LjOtG6XA0x2ev6fD39/JbsVmhcVhZZaIiAPAE8ATkpby9qSp7QQ8EhELDvcWh3lsZsfJpwHNAEkzJU3v0DSbzGSpDcDgpO0Z4D3t16OS2exndHjNlR3+7njEZWbHyUdWZhmVwD9JGga0AnXAtWRmwH5Y0obkutUngXsklSWvuxFYmTweLmkJ0JS8zsz6iIeum/UBSWvwEHezrPFpQDMzSz0fWZmZWer5yMrMzFLPYWVmZqnnsDIzs9RzWJmZWeo5rMzMLPX+HyqJ8P4bJpj/AAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 421.25x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "real_storage.plot()\n",
    "plt.savefig(home / f'Desktop/{DEVICE}/{DATA_TYPE}_cost.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 433x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "real_storage.plot_params()\n",
    "plt.savefig(home / f'Desktop/{DEVICE}/{DATA_TYPE}_param.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3.9.13 ('qiskit')",
   "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": "3.9.13"
  },
  "vscode": {
   "interpreter": {
    "hash": "86394d4aecdf90bfa3aa767d508cb9549ad3b678679daec23858fa7c305a4457"
   }
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {
     "012b0ca0964e499fb6ce2e83d8b9057e": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "width": "70px"
      }
     },
     "09b10f6550d144d2afe917b6be9958db": {
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