validation_summary.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "839fc402",
   "metadata": {},
   "outputs": [],
   "source": [
    "from collections import defaultdict\n",
    "import glob\n",
    "from datetime import datetime\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "from matplotlib.colors import LogNorm\n",
    "import numpy as np\n",
    "\n",
    "import pandas as pd\n",
    "import seaborn\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "4965d14c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# example commands\n",
    "# python validate_on_nic_DMI.py 2021-01-01 2021-12-31 /Data/sat/auxdata/ice_charts/NIC /Data/sat/auxdata/ice_charts/dmi_asip_seaice_mosaic_arc_l3 ./nic_dmi\n",
    "# python validate_on_nic_NERSC.py 2023-01-01 2023-03-31 /Data/sat/auxdata/ice_charts/NIC /Data/sat/auxdata/ice_charts/NERSC/nrt.cmems-du.eu/Core/SEAICE_ARC_PHY_AUTO_L4_NRT_011_015/cmems_obs-si_arc_phy-icetype_nrt_L4-auto_P1D ./nic_nersc/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "ded50529",
   "metadata": {},
   "outputs": [],
   "source": [
    "idir = './nic_dmi'\n",
    "#idir = './nic_nersc'\n",
    "\n",
    "frmt = '%Y%m%d.npz'\n",
    "var_names = ['accuracy', 'macro_precision', 'macro_recall', 'macro_f1_score']\n",
    "ice_var_names = ['precision', 'recall', 'fscore', 'total_man', 'total_aut']\n",
    "\n",
    "values = defaultdict(list)\n",
    "dates = []\n",
    "confmatrs = []\n",
    "ice_names = {}\n",
    "\n",
    "ifiles = sorted(glob.glob(f'{idir}/*npz'))\n",
    "for ifile in ifiles:\n",
    "    d = dict(np.load(ifile, allow_pickle=True))\n",
    "    ice_names = list(d['labels'])\n",
    "    if 'none' in d:\n",
    "        continue\n",
    "    dates.append(datetime.strptime(ifile.split('_')[-1], frmt))\n",
    "    for var_name in var_names:\n",
    "        values[var_name].append(d[var_name].item())\n",
    "    for ice_var_name in ice_var_names:\n",
    "        ice_values = d[ice_var_name]\n",
    "        if len(ice_values) < 4:\n",
    "            ice_values = [np.nan, np.nan, np.nan, np.nan]\n",
    "        for ice_name, ice_value in zip(ice_names, ice_values):\n",
    "            var_name = f'{ice_name}_{ice_var_name}'\n",
    "            values[var_name].append(ice_value)\n",
    "    confmatrs.append(d['matrix'])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ad4f9a76",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x700 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1,1,figsize=(7,7))\n",
    "\n",
    "m = np.dstack([m for m in confmatrs])\n",
    "plt.colorbar(axs.imshow(m.sum(axis=2).T, norm=LogNorm()), ax=axs, shrink=0.7)\n",
    "axs.set_xticks(range(len(ice_names)), ice_names, rotation=90)\n",
    "axs.set_yticks(range(len(ice_names)), ice_names)\n",
    "axs.set_xlabel('Manual ice chart')\n",
    "axs.set_ylabel('Auto ice chart')\n",
    "plt.tight_layout()\n",
    "plt.savefig(f'{idir}/confusion_matrix.png', dpi=150, bbox_inches='tight', pad_inches=0.1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "26cadeef",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.DataFrame(values, index=dates)\n",
    "df['month'] = df.index.strftime('%b')\n",
    "show_names = df.columns.drop(['month'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "9ea8a533",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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//NKXdwEAgN/5NKYAALQHxBQAAEPEFAAAQ8QUAABDxBQAAEM+jemjjz6q7t27+/IuAADwO6/G9PTp09qyZYv770WLFl0xP8sGAEBTvBrTo0ePKj093ZuHBACg1WvR1wlWVlZ+6/qqqiqjYQAAaItaFNOuXbvKZrM1ud6yrG9dDwDAlahFMe3SpYsWL17c5G+WHj58WD/96U+9MhgAAG1Fi2J60003SZKGDx/e6PquXbvKh9+bDwBAq9SiC5DuuecehYSENLk+Ojpay5YtMx4KAIC2xKc/wdZW8RNsAADJBz/B1r17d506dUqSNGPGDK7cBQDg/2t2TGtra90fjdm8ebMuXLjgs6EAAGhLmn0B0pAhQzRhwgQlJyfLsizNmzdPnTp1anTbjRs3em1AAABau2bHdOvWrfrd736nwsJC2Ww2nT17lrNTAADk4QVIcXFx+uSTT9SjRw9fzOR3XIAEAJB8cAHSNxUVFTUrpPHx8SopKfHkLgAAaDN8+hNsxcXF+uqrr3x5FwAA+B0/Dg4AgCFiCgCAIWIKAIAhYgoAgCFiCgCAIZ/G9IUXXlBUVJQv7wIAAL/zOKY7d+7U2LFj5XA45HA4NG7cOH3wwQf1trnnnnvUuXNn4yEBAGjNPIrp1q1blZqaqtDQUM2bN8/9Pb2jRo3Sq6++6u0ZAQBo1Tz6OsEbbrhB999/vx566KF6y1etWqUNGzYoPz/fawP6A18nCACQfPx1gkeOHNHYsWMbLB83bpyKioo8OSQAAG2WRzG12+1yOp0Nlv/5z3+W3W43HgoAgLak2T/B9k0PP/yw5s2bp/3792vo0KGSpF27dunll1/WmjVrvDogAACtnUcxnT17tqKjo/X000/rjTfekPT1+6hZWVkaP368VwcEAKC1a3FML168qF/96leaMWOGPvzwQ1/MBABAm9Li90w7dOiglStX6uLFi76YBwCANsejC5BGjRqlnTt3ensWAADaJI/eMx0zZowWLlyogwcPKjk5ucG3HI0bN84rwwEA0BZ49KUNAQFNn9DabDbV1dUZDeVvfGkDAEBqfg88OjN1uVweDwYAwJWGn2ADAMCQRzGdN2+e1q5d22D5s88+q/nz55vOBABAm+JRTN966y3deuutDZYPHTpUb775ZouPt27dOsXGxiokJEQpKSnas2dPs/Z7/fXXZbPZNGHChHrLLcvS0qVLFRMTo06dOik1NVWHDx9u8VwAADSHRzGtqKhQeHh4g+VhYWE6depUi46VlZWljIwMLVu2TPv27VNiYqLS0tJ08uTJb92vuLhYjzzyiL7//e83WLdy5UqtXbtW69ev1+7du9W5c2elpaXpwoULLZoNAIDm8CimDodDOTk5DZa/88476tOnT4uOtWrVKs2aNUvp6ekaMGCA1q9fr9DQUG3cuLHJferq6nTvvfcqMzOzwf1ZlqXVq1dryZIlGj9+vBISErRlyxYdP35c2dnZLZoNAIDm8Ohq3oyMDD344IMqLy/XyJEjJUlOp1NPP/20Vq9e3ezj1NbWau/evVq0aJF7WUBAgFJTU5WXl9fkfsuXL1dkZKRmzpypDz74oN66oqIilZaWKjU11b0sPDxcKSkpysvL0913393geDU1NaqpqXH/XVlZ2ezHAACARzGdMWOGampq9Mtf/lJPPPGEJCk2NlbPP/+8pk6d2uzjnDp1SnV1dYqKiqq3PCoqSp9//nmj+3z44Yd66aWXtH///kbXl5aWuo/x78e8tO7frVixQpmZmc2eGwCAb/L4ozGzZ8/WsWPHVFZWpsrKSh05cqRFIfVEVVWVpkyZog0bNigiIsJrx120aJHOnj3rvpWUlHjt2ACAK59HZ6bfdPXVV3u8b0REhAIDA1VWVlZveVlZmaKjoxtsX1hYqOLiYo0dO9a97NIXSHTo0EGHDh1y71dWVqaYmJh6x0xKSmp0juDgYAUHB3v8OAAA7ZvHMX3zzTf1xhtv6OjRo6qtra23bt++fc06RlBQkJKTk+V0Ot0fb3G5XHI6nXrwwQcbbN+/f38dPHiw3rIlS5aoqqpKa9askd1uV8eOHRUdHS2n0+mOZ2VlpXbv3q3Zs2e3/IECAPAdPHqZd+3atUpPT1dUVJT+9re/afDgwerRo4eOHDmiMWPGtOhYGRkZ2rBhgzZv3qz8/HzNnj1b1dXVSk9PlyRNnTrVfYFSSEiIBg4cWO/WtWtXdenSRQMHDlRQUJBsNpvmz5+vJ598Un/605908OBBTZ06VT179mzweVQAALzBozPT5557Tr///e81efJkvfzyy1qwYIH69OmjpUuX6osvvmjRsSZNmqTy8nItXbpUpaWlSkpKUk5OjvsCoqNHj37rF+s3ZsGCBaqurtb999+vM2fOaNiwYcrJyVFISEiLjgMAQHN49KsxoaGhys/PV+/evRUZGakdO3YoMTFRhw8f1i233KKKigpfzHrZ8KsxAACp+T3w6GXe6Oho9xnotddeq7/+9a+Svv6MpwdtBgCgTfMopiNHjtSf/vQnSVJ6eroeeugh3XbbbZo0aZImTpzo1QEBAGjtPHqZ1+VyyeVyqUOHr99yzcrK0q5du9SvXz898MAD6tixo9cHvZx4mRcAIDW/Bx7FVJIuXLigTz/9VCdPnqz3Y+E2m63e50DbImIKAJCa3wOPrubNycnRlClTGr3QyGazqa6uzpPDAgDQJnn0nuncuXN111136cSJE+6XfC/dCCkAoL3xKKZlZWXKyMho8GXyAAC0Rx7F9Mc//rFyc3O9PAoAAG2TRxcgnT9/Xj/5yU909dVXKz4+vsHVu/PmzfPagP7ABUgAAMnHFyC99tpreu+99xQSEqLc3FzZbDb3OpvN1uZjCgBAS3gU08WLFyszM1MLFy5s8ffmAgBwpfGohLW1tZo0aRIhBQBAHsZ02rRpysrK8vYsAAC0SR69zFtXV6eVK1fq3XffVUJCQoMLkFatWuWV4QAAaAs8iunBgwd14403SpL+/ve/11v3zYuRAABoDzyK6V/+8hdvzwEAQJvFFUQAABgipgAAGCKmAAAYIqYAABgipgAAGCKmAAAYIqYAABgipgAAGCKmAAAYIqYAABgipgAAGCKmAAAYIqYAABgipgAAGCKmAAAYIqYAABgipgAAGCKmAAAYIqYAABgipgAAGCKmAAAYIqYAABgipgAAGCKmAAAYIqYAABgipgAAGCKmAAAYIqYAABgipgAAGCKmAAAYIqYAABgipgAAGCKmAAAYIqYAABgipgAAGCKmAAAYIqYAABgipgAAGCKmAAAYIqYAABgipgAAGCKmAAAYIqYAABgipgAAGCKmAAAYIqYAABgipgAAGCKmAAAYIqYAABgipgAAGCKmAAAYIqYAABgipgAAGCKmAAAYIqYAABgipgAAGGoVMV23bp1iY2MVEhKilJQU7dmzp8ltt23bpkGDBqlr167q3LmzkpKS9Morr9TbZvr06bLZbPVuo0eP9vXDAAC0Ux38PUBWVpYyMjK0fv16paSkaPXq1UpLS9OhQ4cUGRnZYPvu3btr8eLF6t+/v4KCgrR9+3alp6crMjJSaWlp7u1Gjx6tTZs2uf8ODg6+LI8HAND+2CzLsvw5QEpKim6++WY9++yzkiSXyyW73a65c+dq4cKFzTrGTTfdpDvuuENPPPGEpK/PTM+cOaPs7GyPZqqsrFR4eLjOnj2rsLAwj44BAGj7mtsDv77MW1tbq7179yo1NdW9LCAgQKmpqcrLy/vO/S3LktPp1KFDh/SDH/yg3rrc3FxFRkbq+uuv1+zZs1VRUdHkcWpqalRZWVnvBgBAc/n1Zd5Tp06prq5OUVFR9ZZHRUXp888/b3K/s2fPqlevXqqpqVFgYKCee+453Xbbbe71o0eP1o9+9CPFxcWpsLBQjz76qMaMGaO8vDwFBgY2ON6KFSuUmZnpvQcGAGhX/P6eqSe6dOmi/fv369y5c3I6ncrIyFCfPn30wx/+UJJ09913u7eNj49XQkKC+vbtq9zcXI0aNarB8RYtWqSMjAz335WVlbLb7T5/HACAK4NfYxoREaHAwECVlZXVW15WVqbo6Ogm9wsICJDD4ZAkJSUlKT8/XytWrHDH9N/16dNHERERKigoaDSmwcHBXKAEAPCYX98zDQoKUnJyspxOp3uZy+WS0+nUkCFDmn0cl8ulmpqaJtcfO3ZMFRUViomJMZoXAIDG+P1l3oyMDE2bNk2DBg3S4MGDtXr1alVXVys9PV2SNHXqVPXq1UsrVqyQ9PX7m4MGDVLfvn1VU1Ojt99+W6+88oqef/55SdK5c+eUmZmpO++8U9HR0SosLNSCBQvkcDjqfXQGAABv8XtMJ02apPLyci1dulSlpaVKSkpSTk6O+6Kko0ePKiDg/06gq6urNWfOHB07dkydOnVS//79tXXrVk2aNEmSFBgYqE8//VSbN2/WmTNn1LNnT91+++164okneCkXAOATfv+caWvE50wBAFIb+ZwpAABXAmIKAIAhYgoAgCFiCgCAIWIKAIAhYgoAgCFiCgCAIWIKAIAhYgoAgCFiCgCAIWIKAIAhYgoAgCFiCgCAIWIKAIAhYgoAgCFiCgCAIWIKAIAhYgoAgCFiCgCAIWIKAIAhYgoAgCFiCgCAIWIKAIAhYgoAgCFiCgCAIWIKAIAhYgoAgCFiCgCAIWIKAIAhYgoAgCFiCgCAIWIKAIAhYgoAgCFiCgCAIWIKAIAhYgoAgCFiCgCAIWIKAIAhYgoAgCFiCgCAIWIKAIAhYgoAgCFiCgCAIWIKAIAhYgoAgCFiCgCAIWIKAIAhYgoAgCFiCgCAIWIKAIChDv4eAACuJAUFBSoqKvLpfZw/f16FhYU+vQ9/6Nu3r0JDQ316H3FxcXI4HF4/LjEFAC965plndODAAX+PgSYkJiZqzZo1Xj8uMQUAL5o7dy5nph66XGemvkBMAcCLHA6HT15GROvGBUgAABgipgAAGCKmAAAYIqYAABgipgAAGCKmAAAYIqYAABgipgAAGCKmAAAYIqYAABgipgAAGCKmAAAYIqYAABgipgAAGOIn2BphWZYkqbKy0s+TAAD86VIHLnWhKcS0EVVVVZIku93u50kAAK1BVVWVwsPDm1xvs74rt+2Qy+XS8ePH1aVLF9lsNn+P4xeVlZWy2+0qKSlRWFiYv8eBH/AcAM+Br89Iq6qq1LNnTwUENP3OKGemjQgICNA111zj7zFahbCwsHb7PyJ8jecA2vtz4NvOSC/hAiQAAAwRUwAADBFTNCo4OFjLli1TcHCwv0eBn/AcAM+B5uMCJAAADHFmCgCAIWIKAIAhYgoAgCFiCgCAIWLaDk2fPl0TJkzw9xi4zKZPny6bzaYHHnigwbqf/exnstlsmj59+uUfDH5TUlKiGTNmqGfPngoKClLv3r31X//1X6qoqGjW/rm5ubLZbDpz5oxvB20DiCnQjtjtdr3++uv68ssv3csuXLigV199Vddee60fJ8PlduTIEQ0aNEiHDx/Wa6+9poKCAq1fv15Op1NDhgzRF1984e8R2xRi2s7l5ORo2LBh6tq1q3r06KH//M//VGFhoXt9cXGxbDabtm3bphEjRig0NFSJiYnKy8vz49Tw1E033SS73a5t27a5l23btk3XXnutbrzxRvey73pejBw5Ug8++GC9Y5eXlysoKEhOp9P3DwTGfvaznykoKEjvvfeehg8frmuvvVZjxozRn//8Z/3rX//S4sWLJUk1NTX6xS9+IbvdruDgYDkcDr300ksqLi7WiBEjJEndunVr969sENN2rrq6WhkZGfrkk0/kdDoVEBCgiRMnyuVy1dtu8eLFeuSRR7R//35dd911mjx5si5evOinqWFixowZ2rRpk/vvjRs3Kj09vd423/W8uO+++/Tqq6+qpqbGvc/WrVvVq1cvjRw58vI8EHjsiy++0Lvvvqs5c+aoU6dO9dZFR0fr3nvvVVZWlizL0tSpU/Xaa69p7dq1ys/P1wsvvKCrrrpKdrtdb731liTp0KFDOnHihNasWeOPh9M6WGh3pk2bZo0fP77RdeXl5ZYk6+DBg5ZlWVZRUZElyXrxxRfd2/zjH/+wJFn5+fmXY1x4yaX/u588edIKDg62iouLreLiYiskJMQqLy+3xo8fb02bNq3Rff/9efHll19a3bp1s7KystzbJCQkWI8//vjleCgw9Ne//tWSZP3hD39odP2qVassSdbu3bstSdaOHTsa3e4vf/mLJck6ffq074ZtIzgzbecOHz6syZMnq0+fPgoLC1NsbKwk6ejRo/W2S0hIcP87JiZGknTy5MnLNie85+qrr9Ydd9yhl19+WZs2bdIdd9yhiIiIett81/MiJCREU6ZM0caNGyVJ+/bt09///vd2/TJfW2R9xxfgFRcXKzAwUMOHD79ME7Vd/ARbOzd27Fj17t1bGzZsUM+ePeVyuTRw4EDV1tbW265jx47uf1/6jdd/fykYbceMGTPc73muW7euwfrmPC/uu+8+JSUl6dixY9q0aZNGjhyp3r17X7bHAM85HA7ZbDbl5+dr4sSJDdbn5+erW7duDV4CRtM4M23HKioqdOjQIS1ZskSjRo3SDTfcoNOnT/t7LFwGo0ePVm1trb766iulpaXVW9fc50V8fLwGDRqkDRs26NVXX9WMGTMu1/gw1KNHD91222167rnn6l3ZLUmlpaX67//+b02aNEnx8fFyuVzauXNno8cJCgqSJNXV1fl85taOmLZj3bp1U48ePfT73/9eBQUF+t///V9lZGT4eyxcBoGBgcrPz9dnn32mwMDAeuta8ry477779NRTT8myrEbPcNB6Pfvss6qpqVFaWpref/99lZSUKCcnR7fddpt69eqlX/7yl4qNjdW0adM0Y8YMZWdnq6ioSLm5uXrjjTckSb1795bNZtP27dtVXl6uc+fO+flR+Q8xbYdcLpc6dOiggIAAvf7669q7d68GDhyohx56SL/5zW/8PR4uk7CwMIWFhTVY3pLnxeTJk9WhQwdNnjxZISEhvh4ZXtSvXz998skn6tOnj+666y717dtX999/v0aMGKG8vDx1795dkvT888/rxz/+sebMmaP+/ftr1qxZqq6uliT16tVLmZmZWrhwoaKiohp8XKo94SfY2qHRo0fL4XDo2Wef9fcoaOOKi4vVt29fffzxx7rpppv8PQ7gN5yZtiOnT5/W9u3blZubq9TUVH+Pgzbsq6++UmlpqZYsWaJbbrmFkKLd42redmTGjBn6+OOP9fDDD2v8+PH+Hgdt2K5duzRixAhdd911evPNN/09DuB3vMwLAIAhXuYFAMAQMQUAwBAxBQDAEDEFAMAQMQXgdY8//riSkpL8PQZw2RBTAEZsNpuys7P9PQbgV8QUAABDxBS4Qvzwhz/U3LlzNX/+fHXr1k1RUVHasGGDqqurlZ6eri5dusjhcOidd95x77Nz504NHjxYwcHBiomJ0cKFC3Xx4sV6x5w3b54WLFig7t27Kzo6Wo8//rh7/aXfOZ04caJsNpv770teeeUVxcbGKjw8XHfffbeqqqp8+Z8A8BtiClxBNm/erIiICO3Zs0dz587V7Nmz9ZOf/ERDhw7Vvn37dPvtt2vKlCk6f/68/vWvf+k//uM/dPPNN+vAgQN6/vnn9dJLL+nJJ59scMzOnTtr9+7dWrlypZYvX64dO3ZIkj7++GNJ0qZNm3TixAn335JUWFio7Oxsbd++Xdu3b9fOnTv11FNPXb7/GMDlZAG4IgwfPtwaNmyY+++LFy9anTt3tqZMmeJeduLECUuSlZeXZz366KPW9ddfb7lcLvf6devWWVdddZVVV1fX6DEty7Juvvlm6xe/+IX7b0nWH/7wh3rbLFu2zAoNDbUqKyvdy37+859bKSkpXnmsQGvDmSlwBUlISHD/OzAwUD169FB8fLx7WVRUlCTp5MmTys/P15AhQ2Sz2dzrb731Vp07d07Hjh1r9JiSFBMTo5MnT37nLLGxserSpUuL9wPaImIKXEE6duxY72+bzVZv2aVwulwuo2M2Z39P9wPaImIKtFM33HCD8vLyZH3jty527dqlLl266Jprrmn2cTp27Ki6ujpfjAi0GcQUaKfmzJmjkpISzZ07V59//rn++Mc/atmyZcrIyFBAQPP/X0NsbKycTqdKS0t1+vRpH04MtF7EFGinevXqpbffflt79uxRYmKiHnjgAc2cOVNLlixp0XGefvpp7dixQ3a7XTfeeKOPpgVaN37PFAAAQ5yZAgBgiJgCAGCImAIAYIiYAgBgiJgCAGCImAIAYIiYAgBgiJgCAGCImAIAYIiYAgBgiJgCAGCImAIAYOj/AcQjEgyrCd1sAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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WLT3Gb7rpJgUEBCgtLc3alp2drSNHjiguLk6SFBcXp08//dTjauXU1FS5XC61a9fOqvnuHOU15XM4nU7ddNNNHjVlZWVKS0uzagAAqFKX55qwyj300EMmNDTUrFu3zuTm5lrL2bNnrZqxY8eamJgYk56ebrZv327i4uJMXFycNV5SUmI6dOhg+vTpY3bt2mXWrl1rGjVqZJKTk62aQ4cOmZCQEDN16lSTlZVlFixYYOrVq2fWrl1r1SxdutQEBgaaJUuWmP3795sxY8aYsLAwj6urfwhXQQMAjPE+D2wNYEmVLosXL7Zqzp07Z8aNG2fCw8NNSEiIueuuu0xubq7HPIcPHzb9+vUzwcHBpmHDhmbKlCmmuLjYoyYjI8N07tzZOJ1Oc+2113rso9y8efNMTEyMcTqdpnv37mbz5s1eHwsBDAAwxvs8cBhjjF1n37VJYWGhQkND5Xa75XK57G4HAGATb/OgxlwFDQBAXUIAAwBgAwIYAAAbEMAAANiAAAYAwAYEMAAANrikW1GmpaUpLS1N+fn5Kisr8xj7y1/+UiWNAQBQm/kcwDNnztTTTz+trl27qkmTJnI4HNXRFwAAtZrPAbxw4UItWbJEw4YNq45+AACoE3z+DvjChQvq2bNndfQCAECd4XMAjx49Wu+880519AIAQJ3h80fQ58+f16JFi/TRRx+pY8eOCggI8Bh/6aWXqqw5AABqK58DeM+ePercubMkae/evR5jXJAFAIB3fA7gjIyM6ugDAIA6hRtxAABgg0u6Ecf27dv17rvv6siRI7pw4YLH2HvvvVcljQEAUJv5fAa8dOlS9ezZU1lZWUpJSVFxcbH27dun9PR0hYaGVkePAADUOj4H8LPPPqs5c+bogw8+kNPp1Ny5c/XZZ5/pnnvuUUxMTHX0CABAreNzAB88eFCJiYmSJKfTqTNnzsjhcGjSpElatGhRlTcIAEBt5HMAh4eH69SpU5Kkpk2bWj9FKigo0NmzZ6u2OwAAaimfL8K67bbblJqaqtjYWP3mN7/RI488ovT0dKWmpuoXv/hFdfQIAECt43MAz58/X+fPn5ckPfHEEwoICNCmTZt0991368knn6zyBgEAqI0cxhhjdxO1QWFhoUJDQ+V2u+VyuexuBwBgE2/z4JJ+ByxJ+fn5ys/PV1lZmcf2jh07XuqUAADUGT4H8I4dOzRixAhlZWXp+yfPDodDpaWlVdYcAAC1lc8BPHLkSF1//fV68803FRERwQMYAAC4BD4H8KFDh/TPf/5TrVu3ro5+AACoE3z+HfAvfvEL7d69uzp6AQCgzvD5DPiNN97QiBEjtHfvXnXo0EEBAQEe43feeWeVNQcAQG3lcwBnZmZq48aNWrNmTYUxLsICAMA7Pn8EPWHCBP32t79Vbm6uysrKPBbCFwAA7/gcwN9++60mTZqkiIiI6ugHAIA6wecAHjRokDIyMqqjFwAA6gyfvwO+/vrrlZycrI8//lixsbEVLsJ6+OGHq6w5AABqK5/vBd2yZcuLT+Zw6NChQz+5qSsR94IGAEjVeC/onJycn9QYAAC4hO+AveVyuers2TAAAD+m2gKYpxwCAHBx1RbAAADg4ghgAABsQAADAGCDagtgnhMMAMDFcREWAAA2qLYAXrNmjZo2bfqDNRs2bFD//v0VFRUlh8OhFStWeIyfPn1a48ePV7NmzRQcHKx27dpp4cKFHjXnz59XUlKSrrnmGl199dW6++67dfz4cY+aI0eOKDExUSEhIWrcuLGmTp2qkpISj5p169bpxhtvVGBgoFq3bq0lS5Zc8rEDAPBjvLoRx+TJk72e8KWXXpIk9erV60drz5w5o06dOmnkyJEaNGhQpftNT0/X3/72N7Vo0UL//ve/NW7cOEVFRVnPHZ40aZJWrVql5cuXKzQ0VOPHj9egQYO0ceNGSVJpaakSExMVGRmpTZs2KTc3V8OHD1dAQICeffZZSf+9uUhiYqLGjh2rt99+W2lpaRo9erSaNGmihIQEr48dAABveXUryt69e3s3mcOh9PT0S2vE4VBKSooGDhxobevQoYMGDx6sp556ytp20003qV+/fvrjH/8ot9utRo0a6Z133tGvf/1rSdJnn32mG264QZmZmbr55pu1Zs0a/epXv9KxY8esJzgtXLhQ06ZN09dffy2n06lp06Zp1apV2rt3r7Wfe++9VwUFBVq7dq1X/XMrSgCAVMW3orTr6Uc9e/bU+++/r5EjRyoqKkrr1q3Tf/7zH82ZM0eStGPHDhUXFys+Pt56Tdu2bRUTE2MFcGZmpmJjYz0en5iQkKCHHnpI+/btU5cuXZSZmekxR3nNxIkTL9pbUVGRioqKrPXCwsIqOmoAQF1Qo3+GNG/ePLVr107NmjWT0+lU3759tWDBAt12222SpLy8PDmdToWFhXm8LiIiQnl5eVbN959dXL7+YzWFhYU6d+5cpb3NmjVLoaGh1hIdHf2TjxcAUHf4/DAGSdq+fbveffddHTlyRBcuXPAYe++996qkMem/Abx582a9//77at68uTZs2KCkpCRFRUVVOGO93JKTkz2+Gy8sLCSEAQBe8/kMeOnSperZs6eysrKUkpKi4uJi7du3T+np6QoNDa2yxs6dO6fHH39cL730kvr376+OHTtq/PjxGjx4sF544QVJUmRkpC5cuKCCggKP1x4/flyRkZFWzfevii5f/7Eal8ul4ODgSvsLDAyUy+XyWAAA8JbPAfzss89qzpw5+uCDD+R0OjV37lx99tlnuueeexQTE1NljRUXF6u4uFh+fp4t1qtXT2VlZZL+e0FWQECA0tLSrPHs7GwdOXJEcXFxkqS4uDh9+umnys/Pt2pSU1PlcrnUrl07q+a7c5TXlM8BAECVMz4KCQkxOTk5xhhjGjRoYPbs2WOMMWb//v0mMjLSp7lOnTpldu7caXbu3GkkmZdeesns3LnTfPHFF8YYY26//XbTvn17k5GRYQ4dOmQWL15sgoKCzCuvvGLNMXbsWBMTE2PS09PN9u3bTVxcnImLi7PGS0pKTIcOHUyfPn3Mrl27zNq1a02jRo1McnKyVXPo0CETEhJipk6darKyssyCBQtMvXr1zNq1a70+FrfbbSQZt9vt098AAFC7eJsHPgdw06ZNrdCNjY0177zzjjHGmE2bNhmXy+XTXBkZGUZShWXEiBHGGGNyc3PN/fffb6KiokxQUJBp06aNefHFF01ZWZk1x7lz58y4ceNMeHi4CQkJMXfddZfJzc312M/hw4dNv379THBwsGnYsKGZMmWKKS4urtBL586djdPpNNdee61ZvHixT8dCAAMAjPE+D7z6HfB33XffferatasmT56sP/zhD5o3b54GDBig1NRU3XjjjVV6EdaVhN8BAwCkKv4d8HfNnz9f58+flyQ98cQTCggI0KZNm3T33XfrySefvPSOAQCoQ3w+A0blOAMGAEje54HPV0HXq1fP44rict9++63q1avn63QAANRJPgfwxU6Yi4qK5HQ6f3JDAADUBV5/B/zyyy9L+u9DE9544w1dffXV1lhpaak2bNigtm3bVn2HAADUQl4HcPkDEIwxWrhwocfHzU6nUy1atKjwrF4AAFA5rwM4JydH0n8fTfjee+8pPDy82poCAKC28/lnSN99NGH598EOh6PqOgIAoA64pMcR/u///q9iY2MVHBys4OBgdezYUX/961+rujcAAGotn8+AX3rpJT311FMaP368brnlFknSxx9/rLFjx+qbb77RpEmTqrxJAABqG59vxNGyZUvNnDlTw4cP99j+1ltvacaMGdZ3xXUNN+IAAEjVeCOO3Nxc9ezZs8L2nj17Kjc319fpAACok3wO4NatW+vdd9+tsH3ZsmW67rrrqqQpAABqO5+/A545c6YGDx6sDRs2WN8Bb9y4UWlpaZUGMwAAqMjnM+C7775bW7ZsUcOGDbVixQqtWLFCDRs21NatW3XXXXdVR48AANQ6PA2pinARFgBA4mlIAADUaDwNCQAAG/A0JAAAbMDTkAAAsAFPQwIAwAY+fweckZHhVfi6XC4dOnTokpoCAKC2u6SnIXmDXzcBAHBx1RbAAADg4ghgAABsQAADAGCDagtgh8NRXVMDAHDF4yIsAABscMkBfOHCBWVnZ6ukpKTS8TVr1qhp06aX3BgAALWZzwF89uxZjRo1SiEhIWrfvr2OHDkiSZowYYJmz55t1fXq1UuBgYFV1ykAALWIzwGcnJys3bt3a926dQoKCrK2x8fHa9myZVXaHAAAtZXXt6Ist2LFCi1btkw333yzx4VW7du318GDB6u0OQAAaiufz4C//vprNW7cuML2M2fOcOUzAABe8jmAu3btqlWrVlnr5aH7xhtvKC4uruo6AwCgFvP5I+hnn31W/fr10/79+1VSUqK5c+dq//792rRpk9avX18dPQIAUOv4fAbcq1cv7dq1SyUlJYqNjdW///1vNW7cWJmZmbrpppuqo0cAAGodh+GOGVWisLBQoaGhcrvdcrlcdrcDALCJt3ng8xnw6tWr9eGHH1bY/uGHH2rNmjW+TgcAQJ3kcwA/9thjKi0trbDdGKPHHnusSpoCAKC28/kirM8//1zt2rWrsL1t27Y6cOBAlTQFAHXNgQMHlJOTU637OHv2bK27X0OrVq0UEhJSrfto2bKlWrduXeXz+hzAoaGhOnTokFq0aOGx/cCBA7rqqquqqi8AqFPmzZun3bt3290GKtGpUyfNnTu3yuf1OYAHDBigiRMnKiUlRa1atZL03/CdMmWK7rzzzipvEADqggkTJnAGfAku1xlwtTA+KigoMDfffLPx9/c3LVq0MC1atDD+/v6md+/e5uTJkz7NtX79evOrX/3KNGnSxEgyKSkpFWr2799v+vfvb1wulwkJCTFdu3Y1X3zxhTV+7tw5M27cONOgQQNz1VVXmUGDBpm8vDyPOb744gtzxx13mODgYNOoUSPzP//zP6a4uNijJiMjw3Tp0sU4nU7TqlUrs3jxYp+Oxe12G0nG7Xb79DoAQO3ibR5c0kfQmzZtUmpqqnbv3q3g4GB17NhRt912m8/hf+bMGXXq1EkjR47UoEGDKowfPHhQvXr10qhRozRz5ky5XC7t27fP4yEQkyZN0qpVq7R8+XKFhoZq/PjxGjRokDZu3ChJKi0tVWJioiIjI7Vp0ybl5uZq+PDhCggI0LPPPitJysnJUWJiosaOHau3335baWlpGj16tJo0aaKEhASfjwsAgB91mf5B8KNUyRnw4MGDzW9/+9uLvqagoMAEBASY5cuXW9uysrKMJJOZmWmMMWb16tXGz8/P46z41VdfNS6XyxQVFRljjHn00UdN+/btK+w7ISHB6/45AwYAGFMNZ8Avv/yyV3UPP/zwJf1D4PvKysq0atUqPfroo0pISNDOnTvVsmVLJScna+DAgZKkHTt2qLi4WPHx8dbr2rZtq5iYGGVmZurmm29WZmamYmNjFRERYdUkJCTooYce0r59+9SlSxdlZmZ6zFFeM3HixCo5FgAAvs/rAJ4zZ86P1jgcjioL4Pz8fJ0+fVqzZ8/WH//4R/3pT3/S2rVrNWjQIGVkZOj2229XXl6enE6nwsLCPF4bERGhvLw8SVJeXp5H+JaPl4/9UE1hYaHOnTun4ODgCv0VFRWpqKjIWi8sLPzJxwwAqDu8DuDqvjrv+8rKyiT996rrSZMmSZI6d+6sTZs2aeHChbr99tsvaz/fN2vWLM2cOdPWHgAAVy6f74R1uTRs2FD+/v4Vbvpxww036MiRI5KkyMhIXbhwQQUFBR41x48fV2RkpFVz/PjxCuPlYz9U43K5Kj37laTk5GS53W5rOXr06KUdKACgTqqxAex0OtWtWzdlZ2d7bP/Pf/6j5s2bS5JuuukmBQQEKC0tzRrPzs7WkSNHrGcTx8XF6dNPP1V+fr5Vk5qaKpfLZYV7XFycxxzlNT/0fOPAwEC5XC6PBQAAb/n8M6SqdPr0aY/bV+bk5GjXrl1q0KCBYmJiNHXqVA0ePFi33XabevfurbVr1+qDDz7QunXrJP33J1GjRo3S5MmT1aBBA7lcLk2YMEFxcXG6+eabJUl9+vRRu3btNGzYMD333HPKy8vTk08+qaSkJAUGBkqSxo4dq/nz5+vRRx/VyJEjlZ6ernfffVerVq267H8TAEAdcZmuyq5URkaGkVRhGTFihFXz5ptvmtatW5ugoCDTqVMns2LFCo85ym/EER4ebkJCQsxdd91lcnNzPWoOHz5s+vXrZ4KDg03Dhg3NlClTKr0RR+fOnY3T6TTXXnstN+IAAFwSb/OA5wFXEZ4HDACQvM8Dnz+CvtjPbRwOhwIDA+V0On2dEgCAOsfnAA4LC5PD4bjoeLNmzXT//fdr+vTp8vOrsdd4AQBgK58DeMmSJXriiSd0//33q3v37pKkrVu36q233tKTTz6pr7/+Wi+88IICAwP1+OOPV3nDAADUBj4H8FtvvaUXX3xR99xzj7Wtf//+io2N1Wuvvaa0tDTFxMTomWeeIYABALgInz8j3rRpk7p06VJhe/k9lSWpV69e1s0yAABART4HcHR0tN58880K2998801FR0dLkr799luFh4f/9O4AAKilfP4I+oUXXtBvfvMbrVmzRt26dZMkbd++XZ999pn+8Y9/SJK2bdumwYMHV22nAADUIpf0O+CcnBy99tpr+s9//iNJatOmjR588EG1aNGiqvu7YvA7YACA5H0ecCOOKkIAAwCkarwRhyQVFBRo69atys/Ptx4bWG748OGXMiUAAHWKzwH8wQcfaOjQoTp9+rRcLpfHTTkcDgcBDACAF3y+CnrKlCkaOXKkTp8+rYKCAp08edJaTpw4UR09AgBQ6/gcwF999ZUefvhhhYSEVEc/AADUCT4HcEJCgrZv314dvQAAUGf4/B1wYmKipk6dqv379ys2NlYBAQEe43feeWeVNQcAQG3l88+QfugJRw6HQ6WlpT+5qSsRP0MCAEjV+DOk7//sCAAA+I4H9gIAYAOfz4CffvrpHxz//e9/f8nNAABQV/gcwCkpKR7rxcXFysnJkb+/v1q1akUAAwDgBZ8DeOfOnRW2FRYW6v7779ddd91VJU0BAFDbVcl3wC6XSzNnztRTTz1VFdMBAFDrVdlFWG63W263u6qmAwCgVvP5I+iXX37ZY90Yo9zcXP31r39Vv379qqwxAABqM58DeM6cOR7rfn5+atSokUaMGKHk5OQqawwAgNrM5wDOycmpjj4AAKhTftJ3wF9++aW+/PLLquoFAIA6w+cALisr09NPP63Q0FA1b95czZs3V1hYmP7whz9wm0oAALzk80fQTzzxhN58803Nnj1bt9xyiyTp448/1owZM3T+/Hk988wzVd4kAAC1jc9PQ4qKitLChQsrPHbwX//6l8aNG6evvvqqShu8UvA0JACA5H0e+PwR9IkTJ9S2bdsK29u2basTJ074Oh0AAHWS1wF87NgxSVKnTp00f/78CuPz589Xp06dqq4zAABqMa+/A27fvr0WLFig559/XnfccYc++ugjxcXFSZIyMzN19OhRrV69utoaBQCgNvH6DPiZZ57Rgw8+qHnz5ikrK0uDBg1SQUGBCgoKNGjQIGVnZ+vWW2+tzl4BAKg1fLoIKycnR6NGjdL+/fu1aNGiChdi1WVchAUAkLzPA59+htSyZUulp6dr/vz5uvvuu3XDDTfI399zik8++eTSOgYAoA7x+XfAX3zxhd577z2Fh4drwIABFQIYAAD8OJ/S8/XXX9eUKVMUHx+vffv2qVGjRtXVFwAAtZrXAdy3b19t3bpV8+fP1/Dhw6uzJwAAaj2vA7i0tFR79uxRs2bNqrMfAADqBK8DODU1tTr7AACgTvlJjyMEAACXhgAGAMAGtgbwhg0b1L9/f0VFRcnhcGjFihUXrR07dqwcDof+/Oc/e2w/ceKEhg4dKpfLpbCwMI0aNUqnT5/2qNmzZ49uvfVWBQUFKTo6Ws8991yF+ZcvX662bdsqKChIsbGx3FYTAFCtbA3gM2fOqFOnTlqwYMEP1qWkpGjz5s2KioqqMDZ06FDt27dPqampWrlypTZs2KAxY8ZY44WFherTp4+aN2+uHTt26Pnnn9eMGTO0aNEiq2bTpk0aMmSIRo0apZ07d2rgwIEaOHCg9u7dW3UHCwDAd5kaQpJJSUmpsP3LL780TZs2NXv37jXNmzc3c+bMscb2799vJJlt27ZZ29asWWMcDof56quvjDHGvPLKKyY8PNwUFRVZNdOmTTNt2rSx1u+55x6TmJjosd8ePXqYBx980Ov+3W63kWTcbrfXrwEA1D7e5kGN/g64rKxMw4YN09SpU9W+ffsK45mZmQoLC1PXrl2tbfHx8fLz89OWLVusmttuu01Op9OqSUhIUHZ2tk6ePGnVxMfHe8ydkJCgzMzMi/ZWVFSkwsJCjwUAAG/V6AD+05/+JH9/fz388MOVjufl5alx48Ye2/z9/dWgQQPl5eVZNRERER415es/VlM+XplZs2YpNDTUWqKjo307OABAnVZjA3jHjh2aO3eulixZIofDYXc7FSQnJ8vtdlvL0aNH7W4JAHAFqbEB/H//93/Kz89XTEyM/P395e/vry+++EJTpkxRixYtJEmRkZHKz8/3eF1JSYlOnDihyMhIq+b48eMeNeXrP1ZTPl6ZwMBAuVwujwUAAG/V2AAeNmyY9uzZo127dllLVFSUpk6dqg8//FCSFBcXp4KCAu3YscN6XXp6usrKytSjRw+rZsOGDSouLrZqUlNT1aZNG4WHh1s1aWlpHvtPTU1VXFxcdR8mAKCOsvVZgqdPn9aBAwes9ZycHO3atUsNGjRQTEyMrrnmGo/6gIAARUZGqk2bNpKkG264QX379tXvfvc7LVy4UMXFxRo/frzuvfde6ydL9913n2bOnKlRo0Zp2rRp2rt3r+bOnas5c+ZY8z7yyCO6/fbb9eKLLyoxMVFLly7V9u3bPX6qBABAlbpMV2VXKiMjw0iqsIwYMaLS+u//DMkYY7799lszZMgQc/XVVxuXy2UeeOABc+rUKY+a3bt3m169epnAwEDTtGlTM3v27Apzv/vuu+b66683TqfTtG/f3qxatcqnY+FnSAAAY7zPA4cxxtiY/7VGYWGhQkND5Xa7+T4YAOowb/Ogxn4HDABAbUYAAwBgAwIYAAAbEMAAANiAAAYAwAYEMAAANiCAAQCwAQEMAIANCGAAAGxAAAMAYAMCGAAAGxDAAADYgAAGAMAGBDAAADYggAEAsAEBDACADQhgAABsQAADAGADAhgAABsQwAAA2IAABgDABgQwAAA2IIABALABAQwAgA0IYAAAbEAAAwBgAwIYAAAbEMAAANiAAAYAwAYEMAAANiCAAQCwAQEMAIANCGAAAGxAAAMAYAMCGAAAGxDAAADYgAAGAMAGBDAAADYggAEAsAEBDACADQhgAABsQAADAGADAhgAABvYGsAbNmxQ//79FRUVJYfDoRUrVlhjxcXFmjZtmmJjY3XVVVcpKipKw4cP17FjxzzmOHHihIYOHSqXy6WwsDCNGjVKp0+f9qjZs2ePbr31VgUFBSk6OlrPPfdchV6WL1+utm3bKigoSLGxsVq9enW1HDMAAJLNAXzmzBl16tRJCxYsqDB29uxZffLJJ3rqqaf0ySef6L333lN2drbuvPNOj7qhQ4dq3759Sk1N1cqVK7VhwwaNGTPGGi8sLFSfPn3UvHlz7dixQ88//7xmzJihRYsWWTWbNm3SkCFDNGrUKO3cuVMDBw7UwIEDtXfv3uo7eABA3WZqCEkmJSXlB2u2bt1qJJkvvvjCGGPM/v37jSSzbds2q2bNmjXG4XCYr776yhhjzCuvvGLCw8NNUVGRVTNt2jTTpk0ba/2ee+4xiYmJHvvq0aOHefDBB73u3+12G0nG7XZ7/RoAQO3jbR5cUd8Bu91uORwOhYWFSZIyMzMVFhamrl27WjXx8fHy8/PTli1brJrbbrtNTqfTqklISFB2drZOnjxp1cTHx3vsKyEhQZmZmRftpaioSIWFhR4LAADeumIC+Pz585o2bZqGDBkil8slScrLy1Pjxo096vz9/dWgQQPl5eVZNRERER415es/VlM+XplZs2YpNDTUWqKjo3/aAQIA6pQrIoCLi4t1zz33yBijV1991e52JEnJyclyu93WcvToUbtbAgBcQfztbuDHlIfvF198ofT0dOvsV5IiIyOVn5/vUV9SUqITJ04oMjLSqjl+/LhHTfn6j9WUj1cmMDBQgYGBl35gAIA6rUafAZeH7+eff66PPvpI11xzjcd4XFycCgoKtGPHDmtbenq6ysrK1KNHD6tmw4YNKi4utmpSU1PVpk0bhYeHWzVpaWkec6empiouLq66Dg0AUMfZGsCnT5/Wrl27tGvXLklSTk6Odu3apSNHjqi4uFi//vWvtX37dr399tsqLS1VXl6e8vLydOHCBUnSDTfcoL59++p3v/udtm7dqo0bN2r8+PG69957FRUVJUm677775HQ6NWrUKO3bt0/Lli3T3LlzNXnyZKuPRx55RGvXrtWLL76ozz77TDNmzND27ds1fvz4y/43AQDUEZfnouzKZWRkGEkVlhEjRpicnJxKxySZjIwMa45vv/3WDBkyxFx99dXG5XKZBx54wJw6dcpjP7t37za9evUygYGBpmnTpmb27NkVenn33XfN9ddfb5xOp2nfvr1ZtWqVT8fCz5AAAMZ4nwcOY4yxJflrmcLCQoWGhsrtdnt8Tw0AqFu8zYMa/R0wAAC1FQEMAIANCGAAAGxAAAMAYAMCGAAAGxDAAADYgAAGAMAGBDAAADYggAEAsAEBDACADQhgAABsQAADAGADAhgAABsQwAAA2IAABgDABgQwAAA2IIABALABAQwAgA0IYAAAbEAAAwBgAwIYAAAbEMAAANiAAAYAwAYEMAAANiCAAQCwAQEMAIANCGAAAGxAAAMAYAMCGAAAGxDAAADYgAAGAMAGBDAAADYggAEAsAEBDACADfztbgCAdODAAeXk5FTb/GfPntXBgwerbX67tGrVSiEhIdW6j5YtW6p169bVug/UTQQwUAPMmzdPu3fvtrsNVKJTp06aO3eu3W2gFiKAgRpgwoQJnAFfgst1BgxUBwIYqAFat27Nx5xAHcNFWAAA2IAABgDABgQwAAA2IIABALABAQwAgA1sDeANGzaof//+ioqKksPh0IoVKzzGjTH6/e9/ryZNmig4OFjx8fH6/PPPPWpOnDihoUOHyuVyKSwsTKNGjdLp06c9avbs2aNbb71VQUFBio6O1nPPPVehl+XLl6tt27YKCgpSbGysVq9eXeXHCwBAOVsD+MyZM+rUqZMWLFhQ6fhzzz2nl19+WQsXLtSWLVt01VVXKSEhQefPn7dqhg4dqn379ik1NVUrV67Uhg0bNGbMGGu8sLBQffr0UfPmzbVjxw49//zzmjFjhhYtWmTVbNq0SUOGDNGoUaO0c+dODRw4UAMHDtTevXur7+ABAHWbqSEkmZSUFGu9rKzMREZGmueff97aVlBQYAIDA83f//53Y4wx+/fvN5LMtm3brJo1a9YYh8NhvvrqK2OMMa+88ooJDw83RUVFVs20adNMmzZtrPV77rnHJCYmevTTo0cP8+CDD3rdv9vtNpKM2+32+jUAgNrH2zyosd8B5+TkKC8vT/Hx8da20NBQ9ejRQ5mZmZKkzMxMhYWFqWvXrlZNfHy8/Pz8tGXLFqvmtttuk9PptGoSEhKUnZ2tkydPWjXf3U95Tfl+KlNUVKTCwkKPBQAAb9XYAM7Ly5MkRUREeGyPiIiwxvLy8tS4cWOPcX9/fzVo0MCjprI5vruPi9WUj1dm1qxZCg0NtZbo6GhfDxEAUIfV2ACu6ZKTk+V2u63l6NGjdrcEALiC1NgAjoyMlCQdP37cY/vx48etscjISOXn53uMl5SU6MSJEx41lc3x3X1crKZ8vDKBgYFyuVweCwAA3qqxAdyyZUtFRkYqLS3N2lZYWKgtW7YoLi5OkhQXF6eCggLt2LHDqklPT1dZWZl69Ohh1WzYsEHFxcVWTWpqqtq0aaPw8HCr5rv7Ka8p3w8AAFXuMl0UVqlTp06ZnTt3mp07dxpJ5qWXXjI7d+40X3zxhTHGmNmzZ5uwsDDzr3/9y+zZs8cMGDDAtGzZ0pw7d86ao2/fvqZLly5my5Yt5uOPPzbXXXedGTJkiDVeUFBgIiIizLBhw8zevXvN0qVLTUhIiHnttdesmo0bNxp/f3/zwgsvmKysLDN9+nQTEBBgPv30U6+PhaugAQDGeJ8HDmOMsSv8161bp969e1fYPmLECC1ZskTGGE2fPl2LFi1SQUGBevXqpVdeeUXXX3+9VXvixAmNHz9eH3zwgfz8/HT33Xfr5Zdf1tVXX23V7NmzR0lJSdq2bZsaNmyoCRMmaNq0aR77XL58uZ588kkdPnxY1113nZ577jndcccdXh+L2+1WWFiYjh49ysfRAFCHFRYWKjo6WgUFBQoNDb1ona0BXJt8+eWXXAkNALAcPXpUzZo1u+g4AVxFysrKdOzYMdWvX18Oh8PudmxR/q8+PgWou3gPgPfAf2+jfOrUKUVFRcnP7+KXWvlfxp5qNT8/vx/8l05dwlXh4D2Auv4e+KGPnsvV2KugAQCozQhgAABsQACjygQGBmr69OkKDAy0uxXYhPcAeA94j4uwAACwAWfAAADYgAAGAMAGBDAAADYggAEAsAEBDK/df//9GjhwoN1t4DK6//775XA4NHbs2ApjSUlJcjgcuv/++y9/Y7DN0aNHNXLkSEVFRcnpdKp58+Z65JFH9O2333r1+nXr1snhcKigoKB6G70CEMAAflB0dLSWLl2qc+fOWdvOnz+vd955RzExMTZ2hsvt0KFD6tq1qz7//HP9/e9/14EDB7Rw4UKlpaUpLi5OJ06csLvFKwoBjEuydu1a9erVS2FhYbrmmmv0q1/9SgcPHrTGDx8+LIfDoffee0+9e/dWSEiIOnXqpMzMTBu7xqW48cYbFR0drffee8/a9t577ykmJkZdunSxtv3Ye+LnP/+5xo8f7zH3119/LafTWeF53KiZkpKS5HQ69e9//1u33367YmJi1K9fP3300Uf66quv9MQTT0iSioqKNG3aNEVHRyswMFCtW7fWm2++qcOHD1tPwAsPD6/zn6AQwLgkZ86c0eTJk7V9+3alpaXJz89Pd911l8rKyjzqnnjiCf3P//yPdu3apeuvv15DhgxRSUmJTV3jUo0cOVKLFy+21v/yl7/ogQce8Kj5sffE6NGj9c4776ioqMh6zd/+9jc1bdpUP//5zy/PgeCSnThxQh9++KHGjRun4OBgj7HIyEgNHTpUy5YtkzFGw4cP19///ne9/PLLysrK0muvvaarr75a0dHR+uc//ylJys7OVm5urubOnWvH4dQM1flQYtQuI0aMMAMGDKh07OuvvzaSzKeffmqMMSYnJ8dIMm+88YZVs2/fPiPJZGVlXY52UQXK/3+en59vAgMDzeHDh83hw4dNUFCQ+frrr82AAQPMiBEjKn3t998T586dM+Hh4WbZsmVWTceOHc2MGTMux6HgJ9q8ebORZFJSUiodf+mll4wks2XLFiPJpKamVlqXkZFhJJmTJ09WX7NXCM6AcUk+//xzDRkyRNdee61cLpdatGghSTpy5IhHXceOHa3/btKkiSQpPz//svWJqtGoUSMlJiZqyZIlWrx4sRITE9WwYUOPmh97TwQFBWnYsGH6y1/+Ikn65JNPtHfv3jr9EeSVyPzIzRMPHz6sevXq6fbbb79MHV25eBwhLkn//v3VvHlzvf7664qKilJZWZk6dOigCxcueNQFBARY/13+nOTvf0yNK8PIkSOt73AXLFhQYdyb98To0aPVuXNnffnll1q8eLF+/vOfq3nz5pftGHDpWrduLYfDoaysLN11110VxrOyshQeHl7h42lcHGfA8Nm3336r7OxsPfnkk/rFL36hG264QSdPnrS7LVSzvn376sKFCyouLlZCQoLHmLfvidjYWHXt2lWvv/663nnnHY0cOfJytY+f6JprrtEvf/lLvfLKKx5XxEtSXl6e3n77bQ0ePFixsbEqKyvT+vXrK53H6XRKkkpLS6u955qOAIbPwsPDdc0112jRokU6cOCA0tPTNXnyZLvbQjWrV6+esrKytH//ftWrV89jzJf3xOjRozV79mwZYyo9k0LNNX/+fBUVFSkhIUEbNmzQ0aNHtXbtWv3yl79U06ZN9cwzz6hFixYaMWKERo4cqRUrVignJ0fr1q3Tu+++K0lq3ry5HA6HVq5cqa+//lqnT5+2+ajsQwDDa2VlZfL395efn5+WLl2qHTt2qEOHDpo0aZKef/55u9vDZeByueRyuSps9+U9MWTIEPn7+2vIkCEKCgqq7pZRha677jpt375d1157re655x61atVKY8aMUe/evZWZmakGDRpIkl599VX9+te/1rhx49S2bVv97ne/05kzZyRJTZs21cyZM/XYY48pIiKiwk/T6hIeRwiv9e3bV61bt9b8+fPtbgVXsMOHD6tVq1batm2bbrzxRrvbAWzDGTB+1MmTJ7Vy5UqtW7dO8fHxdreDK1RxcbHy8vL05JNP6uabbyZ8UedxFTR+1MiRI7Vt2zZNmTJFAwYMsLsdXKE2btyo3r176/rrr9c//vEPu9sBbMdH0AAA2ICPoAEAsAEBDACADQhgAABsQAADAGADAhhAjTBjxgx17tzZ7jaAy4YABnDZORwOrVixwu42AFsRwAAA2IAABuqwn/3sZ5owYYImTpyo8PBwRURE6PXXX9eZM2f0wAMPqH79+mrdurXWrFljvWb9+vXq3r27AgMD1aRJEz322GMqKSnxmPPhhx/Wo48+qgYNGigyMlIzZsywxsufE3zXXXfJ4XBY6+X++te/qkWLFgoNDdW9996rU6dOVeefALANAQzUcW+99ZYaNmyorVu3asKECXrooYf0m9/8Rj179tQnn3yiPn36aNiwYTp79qy++uor3XHHHerWrZt2796tV199VW+++ab++Mc/Vpjzqquu0pYtW/Tcc8/p6aefVmpqqiRp27ZtkqTFixcrNzfXWpekgwcPasWKFVq5cqVWrlyp9evXa/bs2ZfvjwFcTgZAnXX77bebXr16WeslJSXmqquuMsOGDbO25ebmGkkmMzPTPP7446ZNmzamrKzMGl+wYIG5+uqrTWlpaaVzGmNMt27dzLRp06x1SSYlJcWjZvr06SYkJMQUFhZa26ZOnWp69OhRJccK1DScAQN1XMeOHa3/rlevnq655hrFxsZa2yIiIiRJ+fn5ysrKUlxcnBwOhzV+yy236PTp0/ryyy8rnVOSmjRpovz8/B/tpUWLFqpfv77PrwOuRAQwUMcFBAR4rDscDo9t5WFbVlb2k+b05vWX+jrgSkQAA/DaDTfcoMzMTJnvPMNl48aNql+/vpo1a+b1PAEBASotLa2OFoErBgEMwGvjxo3T0aNHNWHCBH322Wf617/+penTp2vy5Mny8/P+f05atGihtLQ05eXl6eTJk9XYMVBzEcAAvNa0aVOtXr1aW7duVadOnTR27FiNGjVKTz75pE/zvPjii0pNTVV0dLS6dOlSTd0CNRvPAwYAwAacAQMAYAMCGAAAGxDAAADYgAAGAMAGBDAAADYggAEAsAEBDACADQhgAABsQAADAGADAhgAABsQwAAA2IAABgDABv8P1sWxFUw8xEMAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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KKxo7dqwaNmyowYMH69VXX9X48eO1bt26QPQIAEC95HNIFxQUqGvXrpKkJk2aqLi4WJJ0++2368MPP/RvdwAA1GM+h3SbNm108OBBSVLHjh318ccfS5I2bNggp9Pp3+4AAKjHfA7pgQMHKjMzU5I0evRoPfXUU+rUqZPuvfdeDRs2zO8NAgBQX53zddLZ2dnKzs5Wp06d1L9/f3/1dVHiOmkAgOR9Hvh8CdaPJSUlKSkp6VynAQAAP1KrkP7222/12Wef6dChQ6qsrPQY+93vfueXxgAAqO98DumMjAw9+OCDCg4OVvPmzeVwOKwxh8NBSAMA4Cc+H5OOi4vTQw89pPT0dAUFcVdRX3BMGgAgBfDe3SdOnNCvfvUrAhoAgADzOWmHDx+ud999NxC9AACA0/i8u7uiokK33367SkpK1LVrVzVq1MhjfPr06X5t8GLC7m4AgBTAS7AmT56sFStWqHPnzpJU7cQxAADgHz6H9HPPPafXXntNQ4cODUA7AACgis/HpJ1Op6677rpA9AIAAE7jc0g//PDDmjlzZiB6AQAAp/F5d/f69ev1ySefaOnSperSpUu1E8cWLlzot+YAAKjPfA7ppk2batCgQYHoBQAAnMbnkJ47d65XdWvWrFHPnj15xjQAALUUsNuG9evXTwcOHAjU9AAAXPQCFtLn+JhqAADqPW7ADQCATRHSAADYFCENAIBNBSykuY83AADnhhPHAACwKZ+vk/bW0aNHAzU1AAD1glchfdVVV3m9+3rTpk3n1BAAADjFq5BOS0sLcBsAAODHHIaDx+eN2+1WRESEiouL5XK56rodAEAd8TYPuAQLAACb8vnEsYqKCj3//PN65513tG/fPpWVlXmMHz582G/NAQBQn/m8JT1p0iRNnz5dd911l4qLizVmzBgNGjRIQUFBmjhxYgBaBACgfvI5pN966y298sorGjt2rBo2bKjBgwfr1Vdf1fjx47Vu3bpA9AgAQL3kc0gXFBSoa9eukqQmTZqouLhYknT77bfrww8/9G93AADUYz6HdJs2bXTw4EFJUseOHfXxxx9LkjZs2CCn0+nf7gAAqMd8DumBAwcqMzNTkjR69Gg99dRT6tSpk+69914NGzbM7w0CAFBfnfN10uvWrdPatWvVqVMn9e/f3199XZS4ThoAIHmfBz5fgpWVlaVrr71WDRue+ug111yja665RidPnlRWVpZ69+5d+64BAIDF593dffr0qfFa6OLiYvXp08cvTQEAgFqEtDGmxodtfP/992rcuLFfmgIAAD7s7h40aJAkyeFwaOjQoR5ncldUVGjr1q269tpr/d8hAAD1lNchHRERIenUlnR4eLhCQ0OtseDgYF1zzTW6//77/d8hAAD1lNchPXfuXElS+/bt9eijj7JrGwCAAKv1JVjfffeddu7cKUnq3LmzWrZs6dfGLkZcggUAkAL4qMoTJ05o2LBhiomJUe/evdW7d2/FxsZq+PDhOnHixDk1DQAA/sPnkP7973+v1atX64MPPlBRUZGKioq0ZMkSrV69WmPHjvVprqysLPXv31+xsbFyOBxavHixx7gxRuPHj1dMTIxCQ0OVnJysXbt21ThXaWmpunXrJofDoc2bN3uMbd26VT//+c8VEhKiuLg4TZ06tdrn3333XV166aUKCQlR165dtWzZslr3AgCAP/gc0u+9957++te/ql+/fnK5XHK5XLrtttv0yiuv6O9//7tPcx0/flyJiYmaNWtWjeNTp07VjBkzNHv2bOXk5Khx48ZKSUnRDz/8UK123Lhxio2Nrbbc7Xarb9++ateunTZu3Khp06Zp4sSJevnll62atWvXavDgwRo+fLhyc3OVlpamtLQ0bd++vVa9AADgF8ZHoaGh5osvvqi2fPv27SYsLMzX6SySzKJFi6z3lZWVJjo62kybNs1aVlRUZJxOp5k3b57HZ5ctW2YuvfRSs2PHDiPJ5ObmWmMvvviiiYyMNKWlpdayxx9/3HTu3Nl6f+edd5rU1FSPOXv16mUefPBBn3v5KcXFxUaSKS4u9vozAICLj7d54POWdFJSkiZMmOCxBVlSUqJJkyYpKSnJb//xkJ+fr4KCAiUnJ1vLIiIi1KtXL2VnZ1vLCgsLdf/99+vNN99UWFhYtXmys7PVu3dvBQcHW8tSUlK0c+dOHTlyxKo5fT1VNVXr8baXHystLZXb7fZ4AQDgLZ/v3f3nP/9Zt956q9q0aaPExERJ0pYtWxQSEqIVK1b4rbGCggJJUlRUlMfyqKgoa8wYo6FDh+qhhx5Sz549tXfv3hrniY+PrzZH1VhkZKQKCgp+cj3e9FKTyZMna9KkSWf7qgAA1MjnkO7atat27dqlt956S19++aUkafDgwbr77rs9bnByPsycOVNHjx5Venr6eV2vt9LT0zVmzBjrvdvtVlxcXB12BAC4kNT6KVg/vruYv5+CFR0dLenU7uyYmBhreWFhobp16yZJ+uSTT5Sdne1xi1JJ6tmzp+6++269/vrrio6OVmFhocd41fuqdZyp5vTxs/VSE6fTWa03AAC8ZdunYMXHxys6OlqZmZnWMrfbrZycHOvY94wZM7RlyxZt3rxZmzdvti6bWrBggZ555hlJp46hZ2Vlqby83Jpn5cqV6ty5syIjI62a09dTVVO1Hm96AQDA73w9I83hcJhDhw5VW75z504THh7u01xHjx41ubm5Jjc310gy06dPN7m5uebrr782xhgzZcoU07RpU7NkyRKzdetWM2DAABMfH29KSkpqnC8/P7/a2d1FRUUmKirK3HPPPWb79u1m/vz5JiwszMyZM8eqWbNmjWnYsKF59tlnTV5enpkwYYJp1KiR2bZtm1Xjay814exuAIAx3udBnT4F6/PPP/fY+q46fjtkyBBlZGRo3LhxOn78uB544AEVFRXp+uuv1/LlyxUSEuL1OiIiIvTxxx9r1KhR6tGjh1q0aKHx48frgQcesGquvfZavf3223ryySf1hz/8QZ06ddLixYt1xRVXWDX+6AUAAF94fe/u++67T5L0+uuv684776z2FKz27dvr/vvvV4sWLQLT6UWAe3cDACTv8yBgT8Fas2aNevbsyYlTAADUUq2fgnU2LpdLmzdvVocOHQIx/QWJLWkAgBTAp2B5K0DZDwBAvRGwkAYAAOeGkAYAwKYIaQAAbCpgIe1wOAI1NQAA9QInjgEAYFM+P2BDOvUwjU8//VS7d+/Wr3/9a4WHh+vbb7+Vy+VSkyZNJElHjx71a6MAANQ3Pof0119/rVtvvVX79u1TaWmpbrnlFoWHh+tPf/qTSktLNXv27ED0CQBAvePz7u6HH35YPXv21JEjRzxuDTpw4MBqT5ICAAC15/OW9D//+U+tXbtWwcHBHsvbt2+vAwcO+K0xAADqO5+3pCsrK1VRUVFt+TfffKPw8HC/NAUAAGoR0n379tWf//xn673D4dCxY8c0YcIE3Xbbbf7sDQCAes3nB2x88803SklJkTFGu3btUs+ePbVr1y61aNFCWVlZatWqVaB6veDxgA0AgOR9HtTqKVgnT57UggULtGXLFh07dkzdu3fX3Xff7XEiGaojpAEAUoBDGrVDSAMApAA+qnLy5Ml67bXXqi1/7bXX9Kc//cnX6QAAwBn4HNJz5szRpZdeWm15ly5duJEJAAB+5HNIFxQUKCYmptryli1b6uDBg35pCgAA1CKk4+LitGbNmmrL16xZo9jYWL80BQAAanHHsfvvv1+PPPKIysvLddNNN0mSMjMzNW7cOI0dO9bvDQIAUF/5HNKPPfaYvv/+e40cOVJlZWWSpJCQED3++ONKT0/3e4MAANRXtb4E69ixY8rLy1NoaKg6deokp9Pp794uOlyCBQCQvM+DWj1PWpKaNGmin/3sZ7X9OAAAOAuvQ3rQoEFe1S1cuLDWzQAAgP/wOqQjIiIC2QcAAPgRr0N67ty5gewDAAD8iM/XSQMAgPODkAYAwKYIaQAAbIqQBgDApnwK6fLycg0bNkz5+fmB6gcAAPwfn0K6UaNGeu+99wLVCwAAOI3Pu7vT0tK0ePHiALQCAABO5/NtQTt16qSnn35aa9asUY8ePdS4cWOP8d/97nd+aw4AgPrM5wdsxMfHn3kyh0N79uw556YuVjxgAwAgBfABG5w0BgDA+cElWAAA2FStHlX5zTff6P3339e+fftUVlbmMTZ9+nS/NAYAQH3nc0hnZmbqF7/4hTp06KAvv/xSV1xxhfbu3StjjLp37x6IHgEAqJd83t2dnp6uRx99VNu2bVNISIjee+897d+/XzfccIN++ctfBqJHAADqJZ9DOi8vT/fee68kqWHDhiopKVGTJk309NNP609/+pPfGwQAoL7yOaQbN25sHYeOiYnR7t27rbF///vf/usMAIB6zudj0tdcc40+++wzXXbZZbrttts0duxYbdu2TQsXLtQ111wTiB4BAKiXfA7p6dOn69ixY5KkSZMm6dixY1qwYIE6derEmd0AAPiRz3ccQ+1xxzEAgOR9HtTqZiZFRUV69dVXlZ6ersOHD0uSNm3apAMHDtSuWwAAUI3Pu7u3bt2q5ORkRUREaO/evbr//vvVrFkzLVy4UPv27dMbb7wRiD4BAKh3fN6SHjNmjIYOHapdu3YpJCTEWn7bbbcpKyvLr80BAFCf+RzSGzZs0IMPPlhteevWrVVQUOCXpgAAQC1C2ul0yu12V1v+r3/9Sy1btvRLUwAAoBYh/Ytf/EJPP/20ysvLJZ16hvS+ffv0+OOP64477vB7gwAA1Fdeh/SyZcskSc8995yOHTumVq1aqaSkRDfccIMSEhIUHh6uZ555JmCNAgBQ33h9nXRISIjuvfdeTZ8+XU2aNNFnn32mrVu36tixY+revbuSk5MD3esFj+ukAQCS93ng9SVYOTk5Gjp0qK688kplZGSod+/euv766/3SLAAAqM7r3d2JiYnasGGD7r33XvXt21djx47VkSNH5Ha7PV4AAMA/anVb0I8//li33XabTv+oMUYOh0MVFRV+bfBiwu5uAIAUgN3dVRYuXKjf/OY36t27t5544gk1bOjzFAAAwAteJ2xRUZFGjhypJUuW6H//93/18MMPB7IvAADqPa+PSV9++eXas2ePNm3aZAX0mjVrVFpaWuuVZ2VlqX///oqNjZXD4dDixYs9xo0xGj9+vGJiYhQaGqrk5GTt2rXLGt+7d6+GDx+u+Ph4hYaGqmPHjpowYYLKyso85tm6dat+/vOfKyQkRHFxcZo6dWq1Xt59911deumlCgkJUdeuXa1LzrztBQAAf/M6pEeOHKk1a9aoc+fO1rJ+/fqd05Ovjh8/rsTERM2aNavG8alTp2rGjBmaPXu2cnJy1LhxY6WkpOiHH36QJH355ZeqrKzUnDlztGPHDj3//POaPXu2/vCHP1hzuN1u9e3bV+3atdPGjRs1bdo0TZw4US+//LJVs3btWg0ePFjDhw9Xbm6u0tLSlJaWpu3bt3vdCwAAfmfOQZMmTczu3bvPZQqLJLNo0SLrfWVlpYmOjjbTpk2zlhUVFRmn02nmzZt3xnmmTp1q4uPjrfcvvviiiYyMNKWlpdayxx9/3HTu3Nl6f+edd5rU1FSPeXr16mUefPDBc+rlx4qLi40kU1xc7PVnAAAXH2/zoFbPkz4f8vPzVVBQ4HGTlIiICPXq1UvZ2dln/FxxcbGaNWtmvc/Ozlbv3r0VHBxsLUtJSdHOnTt15MgRq+bHN2NJSUmx1lPbXkpLS7lEDQBQa+cU0nPmzFFUVJS/evFQ9UStH88fFRV1xqdtffXVV5o5c6bHU7oKCgpqnOP0dZyp5vRxX3uRpMmTJysiIsJ6xcXFnbEWAIAfO6eQ/vWvf63GjRv7q5dzcuDAAd1666365S9/qfvvv7+u25Ekpaenq7i42Hrt37+/rlsCAFxAvLoEa9CgQcrIyJDL5dKgQYN+snbhwoV+aSw6OlqSVFhYqJiYGGt5YWGhunXr5lH77bffqk+fPrr22ms9TgirmqewsNBjWdX7qnWcqeb0cW97OZ3T6ZTT6TzbVwUAoEZebUlHRETI4XBIklwul8cu3B+//CU+Pl7R0dHKzMy0lrndbuXk5CgpKcladuDAAd14443q0aOH5s6dq6Agz6+UlJSkrKws69GakrRy5Up17txZkZGRVs3p66mqqVqPt70AAOBX5+lEthodPXrU5ObmmtzcXCPJTJ8+3eTm5pqvv/7aGGPMlClTTNOmTc2SJUvM1q1bzYABA0x8fLwpKSkxxhjzzTffmISEBHPzzTebb775xhw8eNB6VSkqKjJRUVHmnnvuMdu3bzfz5883YWFhZs6cOVbNmjVrTMOGDc2zzz5r8vLyzIQJE0yjRo3Mtm3brJqz9eINzu4GABjjfR74HNJ9+vQxR44cqXGFffr08WmuVatWGUnVXkOGDDHGnLr06amnnjJRUVHG6XSam2++2ezcudP6/Ny5c2v8/I//22PLli3m+uuvN06n07Ru3dpMmTKlWi/vvPOOueSSS0xwcLDp0qWL+fDDDz3Gz9aLNwhpAIAx3ueBzw/YCAoKUkFBgVq1auWx/NChQ2rdurXHbmV44gEbAAApAA/Y2Lp1q/XPX3zxhcelRxUVFVq+fLlat25dy3YBAMCPeR3S3bp1k8PhkMPh0E033VRtPDQ0VDNnzvRrcwAA1Gdeh3R+fr6MMerQoYPWr1+vli1bWmPBwcFq1aqVGjRoEJAmAQCoj7wO6Xbt2kmSKisrA9YMAAD4D69C+v333/d6wl/84he1bgYAAPyHVyGdlpbm1WQOh0MVFRXn0g8AAPg/XoU0u7gBADj/bPuoSgAA6juvTxyr8vTTT//k+Pjx42vdDAAA+A+fQ3rRokUe78vLy5Wfn6+GDRuqY8eOhDQAAH7ic0jn5uZWW+Z2uzV06FANHDjQL00BAAA/HZN2uVyaNGmSnnrqKX9MBwAA5McTx4qLi1VcXOyv6QAAqPd83t09Y8YMj/fGGB08eFBvvvmm+vXr57fGAACo73wO6eeff97jfVBQkFq2bKkhQ4YoPT3db40BAFDf+RzS+fn5gegDAAD8CDczAQDAprzekh42bJhXda+99lqtmwEAAP/hdUhnZGSoXbt2uuqqq2SMCWRPAABAPoT0b37zG82bN0/5+fm677779P/+3/9Ts2bNAtkbAAD1mtfHpGfNmqWDBw9q3Lhx+uCDDxQXF6c777xTK1asYMsaAIAAcJhaJuzXX3+tjIwMvfHGGzp58qR27NihJk2a+Lu/i4rb7VZERISKi4vlcrnquh0AQB3xNg9qfXZ3UFCQHA6HjDGqqKio7TQAAOAMfArp0tJSzZs3T7fccosuueQSbdu2TX/5y1+0b98+tqIBAPAzr08cGzlypObPn6+4uDgNGzZM8+bNU4sWLQLZGwAA9ZrXx6SDgoLUtm1bXXXVVXI4HGesW7hwod+au9hwTBoAIHmfB15vSd97770/Gc4AAMC/fLqZCQAAOH+4dzcAADZFSAMAYFOENAAANkVIAwBgU4Q0AAA2RUgDAGBThDQAADZFSAMAYFOENAAANkVIAwBgU4Q0AAA2RUgDAGBThDQAADZFSAMAYFOENAAANkVIAwBgU4Q0AAA2RUgDAGBThDQAADZFSAMAYFOENAAANkVIAwBgU4Q0AAA2RUgDAGBThDQAADZFSAMAYFOENAAANkVIAwBgU4Q0AAA2RUgDAGBThDQAADZFSAMAYFN1GtJZWVnq37+/YmNj5XA4tHjxYo9xY4zGjx+vmJgYhYaGKjk5Wbt27fKoOXz4sO6++265XC41bdpUw4cP17Fjxzxqtm7dqp///OcKCQlRXFycpk6dWq2Xd999V5deeqlCQkLUtWtXLVu2zOdeAADwpzoN6ePHjysxMVGzZs2qcXzq1KmaMWOGZs+erZycHDVu3FgpKSn64YcfrJq7775bO3bs0MqVK7V06VJlZWXpgQcesMbdbrf69u2rdu3aaePGjZo2bZomTpyol19+2apZu3atBg8erOHDhys3N1dpaWlKS0vT9u3bfeoFAAC/MjYhySxatMh6X1lZaaKjo820adOsZUVFRcbpdJp58+YZY4z54osvjCSzYcMGq+ajjz4yDofDHDhwwBhjzIsvvmgiIyNNaWmpVfP444+bzp07W+/vvPNOk5qa6tFPr169zIMPPuh1L94oLi42kkxxcbHXnwEAXHy8zQPbHpPOz89XQUGBkpOTrWURERHq1auXsrOzJUnZ2dlq2rSpevbsadUkJycrKChIOTk5Vk3v3r0VHBxs1aSkpGjnzp06cuSIVXP6eqpqqtbjTS81KS0tldvt9ngBAOAt24Z0QUGBJCkqKspjeVRUlDVWUFCgVq1aeYw3bNhQzZo186ipaY7T13GmmtPHz9ZLTSZPnqyIiAjrFRcXd5ZvDQDAf9g2pC8G6enpKi4utl779++v65YAABcQ24Z0dHS0JKmwsNBjeWFhoTUWHR2tQ4cOeYyfPHlShw8f9qipaY7T13GmmtPHz9ZLTZxOp1wul8cLAABv2Tak4+PjFR0drczMTGuZ2+1WTk6OkpKSJElJSUkqKirSxo0brZpPPvlElZWV6tWrl1WTlZWl8vJyq2blypXq3LmzIiMjrZrT11NVU7Ueb3oBAMDvztOJbDU6evSoyc3NNbm5uUaSmT59usnNzTVff/21McaYKVOmmKZNm5olS5aYrVu3mgEDBpj4+HhTUlJizXHrrbeaq666yuTk5JjPPvvMdOrUyQwePNgaLyoqMlFRUeaee+4x27dvN/PnzzdhYWFmzpw5Vs2aNWtMw4YNzbPPPmvy8vLMhAkTTKNGjcy2bdusGm96ORvO7gYAGON9HtRpSK9atcpIqvYaMmSIMebUpU9PPfWUiYqKMk6n09x8881m586dHnN8//33ZvDgwaZJkybG5XKZ++67zxw9etSjZsuWLeb66683TqfTtG7d2kyZMqVaL++884655JJLTHBwsOnSpYv58MMPPca96eVsCGkAgDHe54HDGGPqaiu+vnG73YqIiFBxcTHHpwGgHvM2D2x7TBoAgPqOkAYAwKYIaQAAbIqQBgDApghpAABsipAGAMCmCGkAAGyKkAYAwKYIaQAAbIqQBgDApghpAABsipAGAMCmCGkAAGyKkAYAwKYIaQAAbIqQBgDApghpAABsipAGAMCmCGkAAGyKkAYAwKYIaQAAbIqQBgDApghpAABsipAGAMCmCGkAAGyKkAYAwKYIaQAAbIqQBgDApghpAABsipAGAMCmCGkAAGyKkAYAwKYIaQAAbIqQBgDApghpAABsipAGAMCmCGkAAGyKkAYAwKYIaQAAbIqQBgDApghpAABsipAGAMCmCGkAAGyKkAYAwKYIaQAAbIqQBgDAphrWdQMAgLP76quvlJ+fH9B1nDhxQrt37w7oOupCx44dFRYWFtB1xMfHKyEhwe/zEtIAcAGYOXOmtmzZUtdt4AwSExP1wgsv+H1eQhoALgCjR49mS7qWzteWdCAQ0gBwAUhISAjI7lTYGyeOAQBgU4Q0AAA2RUgDAGBThDQAADZFSAMAYFOENAAANkVIAwBgU4Q0AAA2RUgDAGBThDQAADZl+5A+evSoHnnkEbVr106hoaG69tprtWHDBmv82LFj+u1vf6s2bdooNDRUl19+uWbPnu0xxw8//KBRo0apefPmatKkie644w4VFhZ61Ozbt0+pqakKCwtTq1at9Nhjj+nkyZMeNZ9++qm6d+8up9OphIQEZWRkBOx7AwBg+5AeMWKEVq5cqTfffFPbtm1T3759lZycrAMHDkiSxowZo+XLl+tvf/ub8vLy9Mgjj+i3v/2t3n//fWuO3//+9/rggw/07rvvavXq1fr22281aNAga7yiokKpqakqKyvT2rVr9frrrysjI0Pjx4+3avLz85Wamqo+ffpo8+bNeuSRRzRixAitWLHi/P0xAAD1i7GxEydOmAYNGpilS5d6LO/evbt54oknjDHGdOnSxTz99NNnHC8qKjKNGjUy7777rjWel5dnJJns7GxjjDHLli0zQUFBpqCgwKp56aWXjMvlMqWlpcYYY8aNG2e6dOnisZ677rrLpKSkeP19iouLjSRTXFzs9WcAABcfb/PA1lvSJ0+eVEVFhUJCQjyWh4aG6rPPPpMkXXvttXr//fd14MABGWO0atUq/etf/1Lfvn0lSRs3blR5ebmSk5Otz1966aVq27atsrOzJUnZ2dnq2rWroqKirJqUlBS53W7t2LHDqjl9jqqaqjlqUlpaKrfb7fECAMBbtn5UZXh4uJKSkvTHP/5Rl112maKiojRv3jxlZ2dbj2ybOXOmHnjgAbVp00YNGzZUUFCQXnnlFfXu3VuSVFBQoODgYDVt2tRj7qioKBUUFFg1pwd01XjV2E/VuN1ulZSUKDQ0tFr/kydP1qRJk6otJ6wBoH6rygFjzE/W2TqkJenNN9/UsGHD1Lp1azVo0EDdu3fX4MGDtXHjRkmnQnrdunV6//331a5dO2VlZWnUqFGKjY2ttuV7vqWnp2vMmDHW+wMHDujyyy9XXFxcHXYFALCLo0ePKiIi4ozjtg/pjh07avXq1Tp+/LjcbrdiYmJ01113qUOHDiopKdEf/vAHLVq0SKmpqZKkK6+8Ups3b9azzz6r5ORkRUdHq6ysTEVFRR5b04WFhYqOjpYkRUdHa/369R7rrTr7+/SaH58RXlhYKJfLVeNWtCQ5nU45nU7rfZMmTbR//36Fh4fL4XCc2x/mAuV2uxUXF6f9+/fL5XLVdTuoA/wGwG/g1Bb00aNHFRsb+5N1tg/pKo0bN1bjxo115MgRrVixQlOnTlV5ebnKy8sVFOR5aL1BgwaqrKyUJPXo0UONGjVSZmam7rjjDknSzp07tW/fPiUlJUmSkpKS9Mwzz+jQoUNq1aqVJGnlypVyuVy6/PLLrZply5Z5rGflypXWHN4ICgpSmzZtavcHuMi4XK56+y8nTuE3gPr+G/ipLWjL+TiL7VwsX77cfPTRR2bPnj3m448/NomJiaZXr16mrKzMGGPMDTfcYLp06WJWrVpl9uzZY+bOnWtCQkLMiy++aM3x0EMPmbZt25pPPvnEfP755yYpKckkJSVZ4ydPnjRXXHGF6du3r9m8ebNZvny5admypUlPT7dq9uzZY8LCwsxjjz1m8vLyzKxZs0yDBg3M8uXLz98f4yLAGe7gNwB+A96zfUgvWLDAdOjQwQQHB5vo6GgzatQoU1RUZI0fPHjQDB061MTGxpqQkBDTuXNn89xzz5nKykqrpqSkxIwcOdJERkaasLAwM3DgQHPw4EGP9ezdu9f069fPhIaGmhYtWpixY8ea8vJyj5pVq1aZbt26meDgYNOhQwczd+7cgH73ixH/coLfAPgNeM9hzFlOLQP8qLS0VJMnT1Z6errH8XrUH/wGwG/Ae4Q0AAA2ZeubmQAAUJ8R0gAA2BQhDQCATRHSAADYFCENvxk6dKjS0tLqug2cZ0OHDpXD4dBDDz1UbWzUqFFyOBwaOnTo+W8MdWb//v0aNmyYYmNjFRwcrHbt2unhhx/W999/79XnP/30UzkcDhUVFQW20QsAIQ3gnMXFxWn+/PkqKSmxlv3www96++231bZt2zrsDOfbnj171LNnT+3atUvz5s3TV199pdmzZyszM1NJSUk6fPhwXbd4QSGkERDLly/X9ddfr6ZNm6p58+a6/fbbtXv3bmt87969cjgcWrhwofr06aOwsDAlJib+5KM/YV/du3dXXFycFi5caC1buHCh2rZtq6uuuspadrbfxU033aTf/va3HnN/9913Cg4OVmZmZuC/CM7ZqFGjFBwcrI8//lg33HCD2rZtq379+ukf//iHDhw4oCeeeELSqWulH3/8ccXFxcnpdCohIUF//etftXfvXvXp00eSFBkZWe/3xBDSCIjjx49rzJgx+vzzz5WZmamgoCANHDjQuqd6lSeeeEKPPvqoNm/erEsuuUSDBw/WyZMn66hrnIthw4Zp7ty51vvXXntN9913n0fN2X4XI0aM0Ntvv63S0lLrM3/729/UunVr3XTTTefni6DWDh8+rBUrVmjkyJHVHjwUHR2tu+++WwsWLJAxRvfee6/mzZunGTNmKC8vT3PmzFGTJk0UFxen9957T9Kp5ywcPHhQL7zwQl18HXuo0/ud4aIyZMgQM2DAgBrHvvvuOyPJbNu2zRhjTH5+vpFkXn31Vatmx44dRpLJy8s7H+3CT6r+dz906JBxOp1m7969Zu/evSYkJMR89913ZsCAAWbIkCE1fvbHv4uSkhITGRlpFixYYNVceeWVZuLEiefjq+AcrVu3zkgyixYtqnF8+vTpRpLJyckxkszKlStrrFu1apWRZI4cORK4Zi8QbEkjIHbt2qXBgwerQ4cOcrlcat++vSRp3759HnVXXnml9c8xMTGSpEOHDp23PuE/LVu2VGpqqjIyMjR37lylpqaqRYsWHjVn+12EhITonnvu0WuvvSZJ2rRpk7Zv316vd3deiMxZbmS5d+9eNWjQQDfccMN56ujCdcE8qhIXlv79+6tdu3Z65ZVXFBsbq8rKSl1xxRUqKyvzqGvUqJH1z1XP2P7xLnFcOIYNG2YdU541a1a1cW9+FyNGjFC3bt30zTffaO7cubrpppvUrl278/YdUHsJCQlyOBzKy8vTwIEDq43n5eUpMjKy2q5wnBlb0vC777//Xjt37tSTTz6pm2++WZdddpmOHDlS123hPLj11ltVVlam8vJypaSkeIx5+7vo2rWrevbsqVdeeUVvv/22hg0bdr7axzlq3ry5brnlFr344oseZ/pLUkFBgd566y3ddddd6tq1qyorK7V69eoa5wkODpYkVVRUBLxnuyOk4XeRkZFq3ry5Xn75ZX311Vf65JNPNGbMmLpuC+dBgwYNlJeXpy+++EINGjTwGPPldzFixAhNmTJFxpgat8hgX3/5y19UWlqqlJQUZWVlaf/+/Vq+fLluueUWtW7dWs8884zat2+vIUOGaNiwYVq8eLHy8/P16aef6p133pEktWvXTg6HQ0uXLtV3332nY8eO1fG3qjuENPymsrJSDRs2VFBQkObPn6+NGzfqiiuu0O9//3tNmzatrtvDeeJyueRyuaot9+V3MXjwYDVs2FCDBw9WSEhIoFuGH3Xq1Emff/65OnTooDvvvFMdO3bUAw88oD59+ig7O1vNmjWTJL300kv6r//6L40cOVKXXnqp7r//fh0/flyS1Lp1a02aNEn//d//raioqGqX5dUnPKoSfnPrrbcqISFBf/nLX+q6FVzg9u7dq44dO2rDhg3q3r17XbcD1Bm2pHHOjhw5oqVLl+rTTz9VcnJyXbeDC1h5ebkKCgr05JNP6pprriGgUe9xdjfO2bBhw7RhwwaNHTtWAwYMqOt2cAFbs2aN+vTpo0suuUR///vf67odoM6xuxsAAJtidzcAADZFSAMAYFOENAAANkVIAwBgU4Q0gAvGxIkT1a1bt7puAzhvCGkAtuRwOLR48eK6bgOoU4Q0AAA2RUgD+Ek33nijRo8erUceeUSRkZGKiorSK6+8ouPHj+u+++5TeHi4EhIS9NFHH1mfWb16ta6++mo5nU7FxMTov//7v3Xy5EmPOX/3u99p3LhxatasmaKjozVx4kRrvOo50wMHDpTD4bDeV3nzzTfVvn17RURE6Fe/+pWOHj0ayD8BUGcIaQBn9frrr6tFixZav369Ro8erd/85jf65S9/qWuvvVabNm1S3759dc899+jEiRM6cOCAbrvtNv3sZz/Tli1b9NJLL+mvf/2r/ud//qfanI0bN1ZOTo6mTp2qp59+WitXrpQkbdiwQZI0d+5cHTx40HovSbt379bixYu1dOlSLV26VKtXr9aUKVPO3x8DOI+44xiAn3TjjTeqoqJC//znPyWdesZvRESEBg0apDfeeEPSqWcFx8TEKDs7Wx988IHee+895eXlyeFwSJJefPFFPf744youLlZQUFC1OSXp6quv1k033WQFrsPh0KJFi5SWlmbVTJw4UdOmTVNBQYHCw8MlSePGjVNWVpbWrVt3Pv4cwHnFljSAs7ryyiutf27QoIGaN2+url27WsuioqIkSYcOHVJeXp6SkpKsgJak6667TseOHdM333xT45ySFBMTo0OHDp21l/bt21sB7cvngAsRIQ3grBo1auTx3uFweCyrCuTKyspzmtObz9f2c8CFiJAG4FeXXXaZsrOzdfqRtDVr1ig8PFxt2rTxep5GjRqpoqIiEC0CFwxCGoBfjRw5Uvv379fo0aP15ZdfasmSJZowYYLGjBmjoCDv/y+nffv2yszMVEFBgY4cORLAjgH7IqQB+FXr1q21bNkyrV+/XomJiXrooYc0fPhwPfnkkz7N89xzz2nlypWKi4vTVVddFaBuAXvj7G4AAGyKLWkAAGyKkAYAwKYIaQAAbIqQBgDApghpAABsipAGAMCmCGkAAGyKkAYAwKYIaQAAbIqQBgDApghpAABsipAGAMCm/j9vaXwLXNrMSQAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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P5rkmTpwoRqNR2R82bJjEx8cr+42NjRIcHCyJiYl293IrZrNZAIjZbLarnoiIfprszQNVfSZtNpsBAB06dAAA5Ofno76+HtHR0UpNnz59EBoaitzcXABAbm4uBgwYgMDAQKXGaDTCYrHg6NGjSs31czTVNM1RV1eH/Px8mxo3NzdER0crNfb0cqPa2lpYLBabjYiIyF6qCWmr1Yp58+Zh+PDh6N+/PwDAZDJBq9XCz8/PpjYwMBAmk0mpuT6gm8abxn6oxmKxoKamBt999x0aGxtbrLl+jlv1cqPExET4+voqW0hIiJ2vBhERkYpCOj4+HkeOHEFKSoqrW3GahIQEmM1mZTt79qyrWyIioruIh6sbAIA5c+Zg+/btyMnJQbdu3ZTjQUFBqKurQ1VVlc0VbHl5OYKCgpSaG1dhN624vr7mxlXY5eXl0Ov18Pb2hru7O9zd3VusuX6OW/VyI51OB51O58ArQURE9B8uvZIWEcyZMwdbt25FRkYGwsPDbcYHDx4MT09PpKenK8eKi4tRWloKg8EAADAYDDh8+LDNKuy0tDTo9Xr07dtXqbl+jqaapjm0Wi0GDx5sU2O1WpGenq7U2NMLERGRU92ZdWwte/bZZ8XX11eysrKkrKxM2a5evarUzJo1S0JDQyUjI0P2798vBoNBDAaDMt7Q0CD9+/eXmJgYKSwslNTUVOncubMkJCQoNadOnRIfHx9ZtGiRFBUVSVJSkri7u0tqaqpSk5KSIjqdTpKTk+XYsWMyc+ZM8fPzs1k1fqteboWru4mISMT+PHBpSANocdu4caNSU1NTI7NnzxZ/f3/x8fGR8ePHS1lZmc08p0+fljFjxoi3t7d06tRJFi5cKPX19TY1mZmZMnDgQNFqtdKjRw+b52iyZs0aCQ0NFa1WK8OGDZM9e/bYjNvTyw9hSBMRkYj9eaAREXHVVXxbY7FY4OvrC7PZDL1e7+p2iIjIRezNA9Ws7iYiIiJbDGkiIiKVYkgTERGpFEOaiIhIpRjSREREKsWQJiIiUimGNBERkUoxpImIiFSKIU1ERKRSDGkiIiKVYkgTERGpFEOaiIhIpRwO6VdffRVXr15tdrympgavvvqqU5oiIiIiwOG7YLm7u6OsrAwBAQE2xy9evIiAgAA0NjY6tcGfEt4Fi4iIgFa8C5aIQKPRNDt+8OBBdOjQwdHpiIiI6CY87C309/eHRqOBRqNBr169bIK6sbERly9fxqxZs1qlSSIiorbI7pD+85//DBHBtGnT8Morr8DX11cZ02q1CAsLg8FgaJUmiYiI2iK7Q3rKlCkAgPDwcDz44IPw9PRstaaIiIjIgZBuEh4ejrKyspuOh4aG/qiGiIiI6HsOh3RYWFiLC8eacHU3ERGRczgc0gUFBTb79fX1KCgowOrVq/GHP/zBaY0RERG1dQ6HdGRkZLNjQ4YMQXBwMFatWoUJEyY4pTEiIqK2zmk/C9q7d2/s27fPWdMRERG1eQ5fSVssFpt9EUFZWRmWL1+Onj17Oq0xIiKits7hkPbz82u2cExEEBISgpSUFKc1RkRE1NY5HNKZmZk2+25ubujcuTMiIiLg4eHwdERERHQTDqfqyJEjW6MPIiIiusFtX/oeO3YMpaWlqKurszn+xBNP/OimiIiI6DZC+tSpUxg/fjwOHz4MjUaDpjtdNn1OzR8zISIicg6Hv4L1u9/9DuHh4aioqICPjw+OHj2KnJwcDBkyBFlZWa3QIhERUdvk8JV0bm4uMjIy0KlTJ7i5ucHNzQ0PPfQQEhMT8dxzzzX7RTIiIiK6PQ5fSTc2NqJ9+/YAgE6dOuHChQsAgO7du6O4uNi53REREbVhDl9J9+/fHwcPHkR4eDiioqKwcuVKaLVabNiwAT169GiNHomIiNokh0P6pZdewpUrVwAAr776Kn75y19ixIgR6NixIzZv3uz0BomIiNoqjTQtz/4RKisr4e/vb/NLZOfOnUNwcDDc3Jz28+B3PYvFAl9fX5jNZuj1ele3Q0RELmJvHjglQTt06NDsp0L79u2L06dPO2N6IiKiNqnVLnOdcIFORETUprn0veicnBw8/vjjCA4OhkajwbZt22zGL1++jDlz5qBbt27w9vZG3759sX79epuaa9euIT4+Hh07dkS7du3w5JNPory83KamtLQUsbGx8PHxQUBAABYtWoSGhgabmqysLAwaNAg6nQ4RERFITk5u1m9SUhLCwsLg5eWFqKgo7N271ymvAxERUUtcGtJXrlxBZGQkkpKSWhxfsGABUlNT8be//Q1FRUWYN28e5syZg08++USpmT9/Pj799FNs2bIF2dnZuHDhAiZMmKCMNzY2IjY2FnV1ddi9ezc2bdqE5ORkLF26VKkpKSlBbGwsRo0ahcLCQsybNw8zZszAzp07lZrNmzdjwYIFWLZsGQ4cOIDIyEgYjUZUVFS0witDREQEQFpJu3bt5OTJk3bXA5CtW7faHOvXr5+8+uqrNscGDRokL774ooiIVFVViaenp2zZskUZLyoqEgCSm5srIiI7duwQNzc3MZlMSs26detEr9dLbW2tiIgsXrxY+vXrZ/M8EydOFKPRqOwPGzZM4uPjlf3GxkYJDg6WxMREu8/RbDYLADGbzXY/hoiIfnrszYNWu5K+cSHZ7XjwwQfxySef4Pz58xARZGZm4ptvvkFMTAwAID8/H/X19YiOjlYe06dPH4SGhiI3NxfA97+QNmDAAAQGBio1RqMRFosFR48eVWqun6OppmmOuro65Ofn29S4ubkhOjpaqWlJbW0tLBaLzUZERGQvVS8cW7NmDfr27Ytu3bpBq9Vi9OjRSEpKwsMPPwwAMJlM0Gq18PPzs3lcYGAgTCaTUnN9QDeNN439UI3FYkFNTQ2+++47NDY2tljTNEdLEhMT4evrq2whISGOvwhERNRmtVpIHzt2DN27d/9Rc6xZswZ79uzBJ598gvz8fPzxj39EfHw8vvjiCyd12boSEhJgNpuV7ezZs65uiYiI7iJ2/eLY9QuxbuWjjz4CgB991VhTU4P/9//+H7Zu3YrY2FgAwP3334/CwkK88cYbiI6ORlBQEOrq6lBVVWVzNV1eXo6goCAAQFBQULNV2E2rv6+vuXFFeHl5OfR6Pby9veHu7g53d/cWa5rmaIlOp4NOp7u9F4CIiNo8u66kr3/L9labs9TX16O+vr7ZL5a5u7vDarUCAAYPHgxPT0+kp6cr48XFxSgtLYXBYAAAGAwGHD582GYVdlpaGvR6Pfr27avUXD9HU03THFqtFoMHD7apsVqtSE9PV2qIiIic7o4sY7uJ6upqKSgokIKCAgEgq1evloKCAjlz5oyIiIwcOVL69esnmZmZcurUKdm4caN4eXnJ2rVrlTlmzZoloaGhkpGRIfv37xeDwSAGg0EZb2hokP79+0tMTIwUFhZKamqqdO7cWRISEpSaU6dOiY+PjyxatEiKiookKSlJ3N3dJTU1ValJSUkRnU4nycnJcuzYMZk5c6b4+fnZrBq/Fa7uJiIiEfvzwKUhnZmZKQCabVOmTBERkbKyMnn66aclODhYvLy8pHfv3vLHP/5RrFarMkdNTY3Mnj1b/P39xcfHR8aPHy9lZWU2z3P69GkZM2aMeHt7S6dOnWThwoVSX1/frJeBAweKVquVHj16yMaNG5v1u2bNGgkNDRWtVivDhg2TPXv2OHS+DGkiIhKxPw9u6wYb//znP/Hhhx+itLQUdXV1NmMHDhz4kdf2P128wQYREQGteIONt956C1OnTkVgYCAKCgowbNgwdOzYEadOncKYMWN+VNNERET0Hw6H9Nq1a7FhwwasWbMGWq0WixcvRlpaGp577jmYzebW6JGIiKhNcjikS0tL8eCDDwIAvL29UV1dDQCYPHkyPvjgA+d2R0RE1IY5HNJBQUGorKwEAISGhmLPnj0Avr9JxW18vE1EREQ34XBIP/LII8pdqKZOnYr58+fjsccew8SJEzF+/HinN0hERNRWOby622q1wmq1wsPj+x8rS0lJwe7du9GzZ08888wz0Gq1rdLoTwFXdxMREWB/Hjgc0qWlpQgJCWl2lysRwdmzZxEaGnp7HbcBDGkiIgJa8StY4eHh+Pbbb5sdr6ysRHh4uKPTERER0U04HNIi0uK9oi9fvgwvLy+nNEVERER23gULABYsWAAA0Gg0ePnll+Hj46OMNTY2Ii8vDwMHDnR6g0RERG2V3SFdUFAA4Psr6cOHD9ssENNqtYiMjMTzzz/v/A6JiIjaKLtDOjMzE8D3X7t68803ufCJiIioldkd0k02btyo/PO5c+cAAN26dXNeR0RERATgNhaOWa1WvPrqq/D19UX37t3RvXt3+Pn54fe//z2sVmtr9EhERNQmOXwl/eKLL+K9997DihUrMHz4cADAV199heXLl+PatWv4wx/+4PQmiYiI2iKHf8wkODgY69evxxNPPGFz/OOPP8bs2bNx/vx5pzb4U8IfMyEiIqAVf8yksrISffr0aXa8T58+yo03iIiI6MdzOKQjIyPx9ttvNzv+9ttvIzIy0ilNERER0W18Jr1y5UrExsbiiy++gMFgAADk5ubi7Nmz2LFjh9MbJCIiaqscvpIeOXIkvvnmG4wfPx5VVVWoqqrChAkTUFxcjBEjRrRGj0RERG2S0+6C1TTGu2DdHBeOERER4IK7YF28eJF3wSIiInIi3gWLiIhIpXgXLCIiIpXiXbCIiIhUqtXugnXu3DkEBwfDzc3hd9SJiIgIt/GZ9MaNG+1amdy3b1+cPn36dnoiIiIi3EZI28vBb3YRERHRDfheNBERkUoxpImIiFSKIU1ERKRSrRbSLf3gCREREdmPC8eIiIhU6rZD+sSJE9i5cydqamoANA/lY8eOoXv37j+uOyIiojbM4ZC+ePEioqOj0atXL/ziF79AWVkZAGD69OlYuHChUhcSEgJ3d3fndUpERNTGOBzS8+fPh4eHB0pLS21+v3vixIlITU11anNERERtmd0/C9rk3//+N3bu3Ilu3brZHO/ZsyfOnDnjtMaIiIjaOoevpK9cuWJzBd2ksrISOp3OoblycnLw+OOPIzg4GBqNBtu2bWtWU1RUhCeeeAK+vr645557MHToUJSWlirj165dQ3x8PDp27Ih27drhySefRHl5uc0cpaWliI2NhY+PDwICArBo0SI0NDTY1GRlZWHQoEHQ6XSIiIhAcnJys16SkpIQFhYGLy8vREVFYe/evQ6dLxERkSMcDukRI0bgL3/5i7Kv0WhgtVqxcuVKjBo1yqG5rly5gsjISCQlJbU4fvLkSTz00EPo06cPsrKycOjQIbz88ss2962eP38+Pv30U2zZsgXZ2dm4cOECJkyYoIw3NjYiNjYWdXV12L17NzZt2oTk5GQsXbpUqSkpKUFsbCxGjRqFwsJCzJs3DzNmzMDOnTuVms2bN2PBggVYtmwZDhw4gMjISBiNRlRUVDh0zkRERHYTBx0+fFgCAgJk9OjRotVq5Ve/+pXcd999EhgYKCdOnHB0OgUA2bp1q82xiRMnyq9//eubPqaqqko8PT1ly5YtyrGioiIBILm5uSIismPHDnFzcxOTyaTUrFu3TvR6vdTW1oqIyOLFi6Vfv37NnttoNCr7w4YNk/j4eGW/sbFRgoODJTEx0e5zNJvNAkDMZrPdjyEiop8ee/PA4Svp/v3745tvvsHw4cMxduxYXLlyBRMmTEBBQQHuvfdep/3Lg9VqxWeffYZevXrBaDQiICAAUVFRNm+J5+fno76+HtHR0cqxPn36IDQ0FLm5uQCA3NxcDBgwAIGBgUqN0WiExWLB0aNHlZrr52iqaZqjrq4O+fn5NjVubm6Ijo5WalpSW1sLi8VisxEREdnL4YVjAODr64uXXnrJ2b3YqKiowOXLl7FixQq89tpreP3115GamooJEyYgMzMTI0eOhMlkglarhZ+fn81jAwMDYTKZAAAmk8kmoJvGm8Z+qMZisaCmpgaXLl1CY2NjizVff/31Tc8hMTERr7zyym2dPxER0W39mMmXX36JX//613jwwQdx/vx5AMBf//pXfPXVV05rzGq1AgDGjh2L+fPnY+DAgXjhhRfwy1/+EuvXr3fa87SmhIQEmM1mZTt79qyrWyIioruIwyH9r3/9C0ajEd7e3jhw4ABqa2sBAGazGf/7v//rtMY6deoEDw8P9O3b1+b4fffdp6zuDgoKQl1dHaqqqmxqysvLERQUpNTcuNq7af9WNXq9Ht7e3ujUqRPc3d1brGmaoyU6nQ56vd5mIyIispfDIf3aa69h/fr1ePfdd+Hp6akcHz58OA4cOOC0xrRaLYYOHYri4mKb4998843yc6ODBw+Gp6cn0tPTlfHi4mKUlpbCYDAAAAwGAw4fPmyzCjstLQ16vV75FwCDwWAzR1NN0xxarRaDBw+2qbFarUhPT1dqiIiInM7RFWne3t5SUlIiIiLt2rWTkydPiojIyZMnRafTOTRXdXW1FBQUSEFBgQCQ1atXS0FBgZw5c0ZERD766CPx9PSUDRs2yPHjx2XNmjXi7u4uX375pTLHrFmzJDQ0VDIyMmT//v1iMBjEYDAo4w0NDdK/f3+JiYmRwsJCSU1Nlc6dO0tCQoJSc+rUKfHx8ZFFixZJUVGRJCUlibu7u6Smpio1KSkpotPpJDk5WY4dOyYzZ84UPz8/m1Xjt8LV3UREJGJ/Hjgc0uHh4ZKWliYitiG9adMmue+++xyaKzMzUwA026ZMmaLUvPfeexIRESFeXl4SGRkp27Zts5mjpqZGZs+eLf7+/uLj4yPjx4+XsrIym5rTp0/LmDFjxNvbWzp16iQLFy6U+vr6Zr0MHDhQtFqt9OjRQzZu3Nis3zVr1khoaKhotVoZNmyY7Nmzx6HzZUgTEZGI/XmgEXHsnpKJiYn429/+hvfffx+PPfYYduzYgTNnzmD+/Pl4+eWXMXfuXOde6v+EWCwW+Pr6wmw28/NpIqI2zN48cPgrWC+88AKsViseffRRXL16FQ8//DB0Oh2ef/55BjQREZETOXQl3djYiF27duH++++Hj48PTpw4gcuXL6Nv375o165da/b5k8AraSIiAlrpStrd3R0xMTEoKiqCn59fs69HERERkfPc1s+Cnjp1qjV6ISIiouvc1vekn3/+eWzfvh1lZWX8bWoiIqJW4vDqbje3/+S6RqNR/llEoNFo0NjY6LzufmL4mTQREQGtuLo7MzPzRzVGRERE9rE7pH/zm98gKSkJI0eOBAAcPHgQffv2tflpUCIiInIeuz+T/vvf/46amhplf8SIEbyrExERUSuyO6Rv/OjawY+yiYiIyEG3dT9pIiIian0OLRw7duwYTCYTgO+vpL/++mtcvnzZpub+++93XndERERtmN1fwXJzc4NGo2nxbe6m4/wK1g/jV7CIiAhoha9glZSUOKUxIiIiso/dId29e/fW7IOIiIhuwIVjREREKsWQJiIiUimGNBERkUoxpImIiFTqtkK6oaEBX3zxBd555x1UV1cDAC5cuNDsO9NERER0+xy+C9aZM2cwevRolJaWora2Fo899hjat2+P119/HbW1tVi/fn1r9ElERNTmOHwl/bvf/Q5DhgzBpUuX4O3trRwfP3480tPTndocERFRW+bwlfSXX36J3bt3Q6vV2hwPCwvD+fPnndYYERFRW+fwlbTVam3xpz/PnTuH9u3bO6UpIiIiuo2QjomJwZ///GdlX6PR4PLly1i2bBl+8YtfOLM3IiKiNs3uG2w0OXfuHIxGI0QEx48fx5AhQ3D8+HF06tQJOTk5CAgIaK1e73q8wQYREQH254HDIQ18/xWszZs34+DBg7h8+TIGDRqESZMm2Swko+YY0kREBLRySNPtYUgTERFgfx44/Jl0YmIi3n///WbH33//fbz++uuOTkdEREQ34XBIv/POO+jTp0+z4/369eMPmRARETmRwyFtMpnQpUuXZsc7d+6MsrIypzRFREREtxHSISEh2LVrV7Pju3btQnBwsFOaIiIiotv4xbHf/va3mDdvHurr6/HII48AANLT07F48WIsXLjQ6Q0SERG1VQ6H9KJFi3Dx4kXMnj0bdXV1AAAvLy8sWbIECQkJTm+QiIiorbrtr2BdvnwZRUVF8Pb2Rs+ePaHT6Zzd208Ov4JFRESA/Xng8JV0k3bt2mHo0KG3+3AiIiK6BbsXjk2YMMGuzRE5OTl4/PHHERwcDI1Gg23btt20dtasWdBoNDa/Gw4AlZWVmDRpEvR6Pfz8/DB9+nRcvnzZpubQoUMYMWIEvLy8EBISgpUrVzabf8uWLejTpw+8vLwwYMAA7Nixw2ZcRLB06VJ06dIF3t7eiI6OxvHjxx06XyIiIkfYHdK+vr52bY64cuUKIiMjkZSU9IN1W7duxZ49e1pcPT5p0iQcPXoUaWlp2L59O3JycjBz5kxl3GKxICYmBt27d0d+fj5WrVqF5cuXY8OGDUrN7t27ERcXh+nTp6OgoADjxo3DuHHjcOTIEaVm5cqVeOutt7B+/Xrk5eXhnnvugdFoxLVr1xw6ZyIiIruJSgCQrVu3Njt+7tw56dq1qxw5ckS6d+8uf/rTn5SxY8eOCQDZt2+fcuzzzz8XjUYj58+fFxGRtWvXir+/v9TW1io1S5Yskd69eyv7Tz31lMTGxto8b1RUlDzzzDMiImK1WiUoKEhWrVqljFdVVYlOp5MPPvjA7nM0m80CQMxms92PISKinx5788Dh70nfSVarFZMnT8aiRYvQr1+/ZuO5ubnw8/PDkCFDlGPR0dFwc3NDXl6eUvPwww9Dq9UqNUajEcXFxbh06ZJSEx0dbTO30WhEbm4uAKCkpAQmk8mmxtfXF1FRUUoNERGRs932wrE74fXXX4eHhweee+65FsdNJlOzW2N6eHigQ4cOMJlMSk14eLhNTWBgoDLm7+8Pk8mkHLu+5vo5rn9cSzUtqa2tRW1trbJvsVhuWktERHQj1V5J5+fn480330RycjI0Go2r27ktiYmJNp/Xh4SEuLolIiK6i6g2pL/88ktUVFQgNDQUHh4e8PDwwJkzZ7Bw4UKEhYUBAIKCglBRUWHzuIaGBlRWViIoKEipKS8vt6lp2r9VzfXj1z+upZqWJCQkwGw2K9vZs2cdeQmIiKiNU21IT548GYcOHUJhYaGyBQcHY9GiRdi5cycAwGAwoKqqCvn5+crjMjIyYLVaERUVpdTk5OSgvr5eqUlLS0Pv3r3h7++v1KSnp9s8f1paGgwGAwAgPDwcQUFBNjUWiwV5eXlKTUt0Oh30er3NRkREZLc7tJCtRdXV1VJQUCAFBQUCQFavXi0FBQVy5syZFutvXN0tIjJ69Gh54IEHJC8vT7766ivp2bOnxMXFKeNVVVUSGBgokydPliNHjkhKSor4+PjIO++8o9Ts2rVLPDw85I033pCioiJZtmyZeHp6yuHDh5WaFStWiJ+fn3z88cdy6NAhGTt2rISHh0tNTY3d58vV3UREJGJ/Hrg0pDMzMwVAs23KlCkt1rcU0hcvXpS4uDhp166d6PV6mTp1qlRXV9vUHDx4UB566CHR6XTStWtXWbFiRbO5P/zwQ+nVq5dotVrp16+ffPbZZzbjVqtVXn75ZQkMDBSdTiePPvqoFBcXO3S+DGkiIhKxPw9u+7e7yXH87W4iIgLszwPVfiZNRETU1jGkiYiIVIohTUREpFIMaSIiIpViSBMREakUQ5qIiEilGNJEREQqxZAmIiJSKYY0ERGRSjGkiYiIVIohTUREpFIMaSIiIpViSBMREakUQ5qIiEilGNJEREQqxZAmIiJSKYY0ERGRSjGkiYiIVIohTUREpFIMaSIiIpViSBMREakUQ5qIiEilGNJEREQqxZAmIiJSKYY0ERGRSjGkiYiIVIohTUREpFIMaSIiIpViSBMREakUQ5qIiEilGNJEREQqxZAmIiJSKYY0ERGRSjGkiYiIVIohTUREpFIMaSIiIpViSBMREamUS0M6JycHjz/+OIKDg6HRaLBt2zZlrL6+HkuWLMGAAQNwzz33IDg4GL/5zW9w4cIFmzkqKysxadIk6PV6+Pn5Yfr06bh8+bJNzaFDhzBixAh4eXkhJCQEK1eubNbLli1b0KdPH3h5eWHAgAHYsWOHzbiIYOnSpejSpQu8vb0RHR2N48ePO+/FICIiuoFLQ/rKlSuIjIxEUlJSs7GrV6/iwIEDePnll3HgwAF89NFHKC4uxhNPPGFTN2nSJBw9ehRpaWnYvn07cnJyMHPmTGXcYrEgJiYG3bt3R35+PlatWoXly5djw4YNSs3u3bsRFxeH6dOno6CgAOPGjcO4ceNw5MgRpWblypV46623sH79euTl5eGee+6B0WjEtWvXWuGVISIiAiAqAUC2bt36gzV79+4VAHLmzBkRETl27JgAkH379ik1n3/+uWg0Gjl//ryIiKxdu1b8/f2ltrZWqVmyZIn07t1b2X/qqackNjbW5rmioqLkmWeeERERq9UqQUFBsmrVKmW8qqpKdDqdfPDBB3afo9lsFgBiNpvtfgwREf302JsHd9Vn0mazGRqNBn5+fgCA3Nxc+Pn5YciQIUpNdHQ03NzckJeXp9Q8/PDD0Gq1So3RaERxcTEuXbqk1ERHR9s8l9FoRG5uLgCgpKQEJpPJpsbX1xdRUVFKDRERkbN5uLoBe127dg1LlixBXFwc9Ho9AMBkMiEgIMCmzsPDAx06dIDJZFJqwsPDbWoCAwOVMX9/f5hMJuXY9TXXz3H941qqaUltbS1qa2uVfYvFYvf5EhER3RVX0vX19XjqqacgIli3bp2r27FbYmIifH19lS0kJMTVLRER0V1E9SHdFNBnzpxBWlqachUNAEFBQaioqLCpb2hoQGVlJYKCgpSa8vJym5qm/VvVXD9+/eNaqmlJQkICzGazsp09e9bu8yYiIlJ1SDcF9PHjx/HFF1+gY8eONuMGgwFVVVXIz89XjmVkZMBqtSIqKkqpycnJQX19vVKTlpaG3r17w9/fX6lJT0+3mTstLQ0GgwEAEB4ejqCgIJsai8WCvLw8paYlOp0Oer3eZiMiIrLbnVnH1rLq6mopKCiQgoICASCrV6+WgoICOXPmjNTV1ckTTzwh3bp1k8LCQikrK1O261dqjx49Wh544AHJy8uTr776Snr27ClxcXHKeFVVlQQGBsrkyZPlyJEjkpKSIj4+PvLOO+8oNbt27RIPDw954403pKioSJYtWyaenp5y+PBhpWbFihXi5+cnH3/8sRw6dEjGjh0r4eHhUlNTY/f5cnU3ERGJ2J8HLg3pzMxMAdBsmzJlipSUlLQ4BkAyMzOVOS5evChxcXHSrl070ev1MnXqVKmurrZ5noMHD8pDDz0kOp1OunbtKitWrGjWy4cffii9evUSrVYr/fr1k88++8xm3Gq1yssvvyyBgYGi0+nk0UcfleLiYofOlyFNREQi9ueBRkTkzl+/t00WiwW+vr4wm81865uIqA2zNw9U/Zk0ERFRW8aQJiIiUimGNBERkUoxpImIiFSKIU1ERKRSDGkiIiKVYkgTERGpFEOaiIhIpRjSREREKsWQJiIiUimGNBERkUoxpImIiFSKIU1ERKRSDGkiIiKVYkgTERGpFEOaiIhIpRjSREREKsWQJiIiUimGNBERkUoxpImIiFSKIU1ERKRSDGkiIiKVYkgTERGpFEOaiIhIpRjSREREKsWQJiIiUimGNBERkUoxpImIiFSKIU1ERKRSDGkiIiKVYkgTERGpFEOaiIhIpTxc3QDd2okTJ1BSUtKqz3H16lWcPHmyVZ/DFe699174+Pi02vzh4eGIiIhotfmJqG1jSN8F1qxZg4MHD7q6DWpBZGQk3nzzTVe3QUQ/UQzpu8DcuXN5JX2b7sSVNBFRa2FI3wUiIiL4lioRURvEhWNEREQq5dKQzsnJweOPP47g4GBoNBps27bNZlxEsHTpUnTp0gXe3t6Ijo7G8ePHbWoqKysxadIk6PV6+Pn5Yfr06bh8+bJNzaFDhzBixAh4eXkhJCQEK1eubNbLli1b0KdPH3h5eWHAgAHYsWOHw70QERE5k0tD+sqVK4iMjERSUlKL4ytXrsRbb72F9evXIy8vD/fccw+MRiOuXbum1EyaNAlHjx5FWloatm/fjpycHMycOVMZt1gsiImJQffu3ZGfn49Vq1Zh+fLl2LBhg1Kze/duxMXFYfr06SgoKMC4ceMwbtw4HDlyxKFeiIiInEpUAoBs3bpV2bdarRIUFCSrVq1SjlVVVYlOp5MPPvhARESOHTsmAGTfvn1Kzeeffy4ajUbOnz8vIiJr164Vf39/qa2tVWqWLFkivXv3VvafeuopiY2NteknKipKnnnmGbt7sYfZbBYAYjab7X4MERH99NibB6r9TLqkpAQmkwnR0dHKMV9fX0RFRSE3NxcAkJubCz8/PwwZMkSpiY6OhpubG/Ly8pSahx9+GFqtVqkxGo0oLi7GpUuXlJrrn6eppul57OmFiIjI2VS7uttkMgEAAgMDbY4HBgYqYyaTCQEBATbjHh4e6NChg03NjV+TaZrTZDLB398fJpPpls9zq15aUltbi9raWmXfYrH8wBkTERHZUu2V9E9BYmIifH19lS0kJMTVLRER0V1EtSEdFBQEACgvL7c5Xl5erowFBQWhoqLCZryhoQGVlZU2NS3Ncf1z3Kzm+vFb9dKShIQEmM1mZTt79uwtzpqIiOg/VBvS4eHhCAoKQnp6unLMYrEgLy8PBoMBAGAwGFBVVYX8/HylJiMjA1arFVFRUUpNTk4O6uvrlZq0tDT07t0b/v7+Ss31z9NU0/Q89vTSEp1OB71eb7MRERHZ7Q4tZGtRdXW1FBQUSEFBgQCQ1atXS0FBgZw5c0ZERFasWCF+fn7y8ccfy6FDh2Ts2LESHh4uNTU1yhyjR4+WBx54QPLy8uSrr76Snj17SlxcnDJeVVUlgYGBMnnyZDly5IikpKSIj4+PvPPOO0rNrl27xMPDQ9544w0pKiqSZcuWiaenpxw+fFipsaeXW+HqbiIiErE/D1wa0pmZmQKg2TZlyhQR+f6rTy+//LIEBgaKTqeTRx99VIqLi23muHjxosTFxUm7du1Er9fL1KlTpbq62qbm4MGD8tBDD4lOp5OuXbvKihUrmvXy4YcfSq9evUSr1Uq/fv3ks88+sxm3p5dbYUgTEZGI/XmgERFx1VV8W2OxWODr6wuz2cy3vomI2jB780C1n0kTERG1dQxpIiIilWJIExERqRRDmoiISKUY0kRERCrFkCYiIlIphjQREZFKqfYuWET0HydOnEBJSUmrPsfVq1dx8uTJVn0OV7j33nvh4+PTqs8RHh6OiIiIVn0OapsY0kR3gTVr1uDgwYOuboNuIjIyEm+++aar26CfIIY00V1g7ty5vJK+TXfqSpqoNTCkie4CERERfDuVqA3iwjEiIiKVYkgTERGpFEOaiIhIpRjSREREKsWQJiIiUimGNBERkUoxpImIiFSKIU1ERKRSDGkiIiKVYkgTERGpFEOaiIhIpRjSREREKsWQJiIiUimGNBERkUrxVpV3kIgAACwWi4s7ISIiV2rKgaZcuBmG9B1UXV0NAAgJCXFxJ0REpAbV1dXw9fW96bhGbhXj5DRWqxUXLlxA+/btodFoXN2OS1gsFoSEhODs2bPQ6/WubodcgH8DxL+B76+gq6urERwcDDe3m3/yzCvpO8jNzQ3dunVzdRuqoNfr2+z/OOl7/Bugtv438ENX0E24cIyIiEilGNJEREQqxZCmO0qn02HZsmXQ6XSuboVchH8DxL8B+3HhGBERkUrxSpqIiEilGNJEREQqxZAmIiJSKYY0ERGRSjGkyWmefvppjBs3ztVt0B329NNPQ6PRYNasWc3G4uPjodFo8PTTT9/5xshlzp49i2nTpiE4OBharRbdu3fH7373O1y8eNGux2dlZUGj0aCqqqp1G70LMKSJ6EcLCQlBSkoKampqlGPXrl3DP/7xD4SGhrqwM7rTTp06hSFDhuD48eP44IMPcOLECaxfvx7p6ekwGAyorKx0dYt3FYY0tYrU1FQ89NBD8PPzQ8eOHfHLX/4SJ0+eVMZPnz4NjUaDjz76CKNGjYKPjw8iIyORm5vrwq7pdg0aNAghISH46KOPlGMfffQRQkND8cADDyjHbvV38cgjj2DOnDk2c3/77bfQarVIT09v/ROhHy0+Ph5arRb//ve/MXLkSISGhmLMmDH44osvcP78ebz44osAgNraWixZsgQhISHQ6XSIiIjAe++9h9OnT2PUqFEAAH9//zb/TgxDmlrFlStXsGDBAuzfvx/p6elwc3PD+PHjYbVabepefPFFPP/88ygsLESvXr0QFxeHhoYGF3VNP8a0adOwceNGZf/999/H1KlTbWpu9XcxY8YM/OMf/0Btba3ymL/97W/o2rUrHnnkkTtzInTbKisrsXPnTsyePRve3t42Y0FBQZg0aRI2b94MEcFvfvMbfPDBB3jrrbdQVFSEd955B+3atUNISAj+9a9/AQCKi4tRVlaGN9980xWnow5C5CRTpkyRsWPHtjj27bffCgA5fPiwiIiUlJQIAPm///s/pebo0aMCQIqKiu5Eu+QkTf+9V1RUiE6nk9OnT8vp06fFy8tLvv32Wxk7dqxMmTKlxcfe+HdRU1Mj/v7+snnzZqXm/vvvl+XLl9+JU6Efac+ePQJAtm7d2uL46tWrBYDk5eUJAElLS2uxLjMzUwDIpUuXWq/ZuwSvpKlVHD9+HHFxcejRowf0ej3CwsIAAKWlpTZ1999/v/LPXbp0AQBUVFTcsT7JeTp37ozY2FgkJydj48aNiI2NRadOnWxqbvV34eXlhcmTJ+P9998HABw4cABHjhxp02933o3kFj9kefr0abi7u2PkyJF3qKO7F29VSa3i8ccfR/fu3fHuu+8iODgYVqsV/fv3R11dnU2dp6en8s9N99i+8S1xuntMmzZN+Uw5KSmp2bg9fxczZszAwIEDce7cOWzcuBGPPPIIunfvfsfOgW5fREQENBoNioqKMH78+GbjRUVF8Pf3b/ZWON0cr6TJ6S5evIji4mK89NJLePTRR3Hffffh0qVLrm6L7oDRo0ejrq4O9fX1MBqNNmP2/l0MGDAAQ4YMwbvvvot//OMfmDZt2p1qn36kjh074rHHHsPatWttVvoDgMlkwt///ndMnDgRAwYMgNVqRXZ2dovzaLVaAEBjY2Or96x2DGlyOn9/f3Ts2BEbNmzAiRMnkJGRgQULFri6LboD3N3dUVRUhGPHjsHd3d1mzJG/ixkzZmDFihUQkRavyEi93n77bdTW1sJoNCInJwdnz55FamoqHnvsMXTt2hV/+MMfEBYWhilTpmDatGnYtm0bSkpKkJWVhQ8//BAA0L17d2g0Gmzfvh3ffvstLl++7OKzch2GNDmN1WqFh4cH3NzckJKSgvz8fPTv3x/z58/HqlWrXN0e3SF6vR56vb7ZcUf+LuLi4uDh4YG4uDh4eXm1dsvkRD179sT+/fvRo0cPPPXUU7j33nsxc+ZMjBo1Crm5uejQoQMAYN26dfjVr36F2bNno0+fPvjtb3+LK1euAAC6du2KV155BS+88AICAwObfS2vLeGtKslpRo8ejYiICLz99tuuboXucqdPn8a9996Lffv2YdCgQa5uh8hleCVNP9qlS5ewfft2ZGVlITo62tXt0F2svr4eJpMJL730En72s58xoKnN4+pu+tGmTZuGffv2YeHChRg7dqyr26G72K5duzBq1Cj06tUL//znP13dDpHL8e1uIiIileLb3URERCrFkCYiIlIphjQREZFKMaSJiIhUiiFNRHeN5cuXY+DAga5ug+iOYUgTkSppNBps27bN1W0QuRRDmoiISKUY0kT0g37+859j7ty5mDdvHvz9/REYGIh3330XV65cwdSpU9G+fXtERETg888/Vx6TnZ2NYcOGQafToUuXLnjhhRfQ0NBgM+dzzz2HxYsXo0OHDggKCsLy5cuV8ab7TI8fPx4ajUbZb/LXv/4VYWFh8PX1xX//93+jurq6NV8CIpdhSBPRLW3atAmdOnXC3r17MXfuXDz77LP4r//6Lzz44IM4cOAAYmJiMHnyZFy9ehXnz5/HL37xCwwdOhQHDx7EunXr8N577+G1115rNuc999yDvLw8rFy5Eq+++irS0tIAAPv27QMAbNy4EWVlZco+AJw8eRLbtm3D9u3bsX37dmRnZ2PFihV37sUguoP4i2NE9IN+/vOfo7GxEV9++SWA7+/x6+vriwkTJuAvf/kLgO/vFdylSxfk5ubi008/xb/+9S8UFRVBo9EAANauXYslS5bAbDbDzc2t2ZwAMGzYMDzyyCNK4Go0GmzduhXjxo1TapYvX45Vq1bBZDKhffv2AIDFixcjJycHe/bsuRMvB9EdxStpIrql+++/X/lnd3d3dOzYEQMGDFCOBQYGAgAqKipQVFQEg8GgBDQADB8+HJcvX8a5c+danBMAunTpgoqKilv2EhYWpgS0I48juhsxpInoljw9PW32NRqNzbGmQLZarT9qTnsef7uPI7obMaSJyKnuu+8+5Obm4vpP0nbt2oX27dujW7duds/j6emJxsbG1miR6K7BkCYip5o9ezbOnj2LuXPn4uuvv8bHH3+MZcuWYcGCBXBzs///csLCwpCeng6TyYRLly61YsdE6sWQJiKn6tq1K3bs2IG9e/ciMjISs2bNwvTp0/HSSy85NM8f//hHpKWlISQkBA888EArdUukblzdTUREpFK8kiYiIlIphjQREZFKMaSJiIhUiiFNRESkUgxpIiIilWJIExERqRRDmoiISKUY0kRERCrFkCYiIlIphjQREZFKMaSJiIhUiiFNRESkUv8fbwV2ztu2XtoAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 500x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for var_name in show_names:\n",
    "    fig, ax = plt.subplots(1,1,figsize=(5,5))\n",
    "    seaborn.boxplot(x='month', y=var_name, data=df)\n",
    "    plt.savefig(f'{idir}/{var_name}.png', dpi=200, bbox_inches='tight', pad_inches=0.1)\n",
    "    plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "126fad72",
   "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": "3.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}