Untitled.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "74c9dc9c-d414-4cb5-be77-62046c969571",
   "metadata": {},
   "outputs": [],
   "source": [
    "dl_coords=[(0.00021500000100429508, 0.0),\n",
    " (2.272942499999999, 6.887502000000004),\n",
    " (2.2729425000009993, 6.887501999999998),\n",
    " (21.909304999999996, 97.294331),\n",
    " (21.909305000000995, 97.294331),\n",
    " (35.000215000000004, 97.302553),\n",
    " (35.000215000001006, 97.302553),\n",
    " (45.636577499999994, 60.235106),\n",
    " (45.636577500000996, 60.235106),\n",
    " (78.768395, 22.893319000000005),\n",
    " (78.768395000001, 22.893319000000005),\n",
    " (93.1865775, 28.254604999999998),\n",
    " (93.186577500001, 28.254604999999998),\n",
    " (113.6411225, 6.952233000000007),\n",
    " (113.64112250000099, 6.952233000000007),\n",
    " (135.40476, 29.175235999999998),\n",
    " (135.404760000001, 29.175235999999998),\n",
    " (170.259305, 12.335468000000006),\n",
    " (170.259305000001, 12.335468000000006),\n",
    " (173.2729425, 20.434546999999995),\n",
    " (173.272942500001, 20.434546999999995),\n",
    " (191.1865775, 97.083189),\n",
    " (191.186577500001, 97.083189),\n",
    " (203.62294250000002, 97.20977400000001),\n",
    " (203.62294250000102, 97.20977400000001),\n",
    " (225.03715250000002, 31.79631100000001),\n",
    " (225.037152500001, 31.796311000000006),\n",
    " (228.0911225, 22.466980999999993),\n",
    " (228.091122500001, 22.46698099999999),\n",
    " (240.622942499999, 0.0)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "1c187fc8-3da2-4528-a271-3d1e08775131",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "30"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(dl_coords)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "ecdf7eef-6d85-44ce-aeac-1c9b7cfd2d53",
   "metadata": {},
   "outputs": [],
   "source": [
    "udls = []\n",
    "inner = []\n",
    "for idx, coord in enumerate(dl_coords):\n",
    "    if idx % 2 == 1:\n",
    "        inner.append(coord)\n",
    "        udls.append(inner)\n",
    "        inner = []\n",
    "    else:\n",
    "        inner.append(coord)\n",
    "# udls.pop(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "4e6264cb-266e-4aee-b77a-28874a835b74",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "15\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[[(0.00021500000100429508, 0.0), (2.272942499999999, 6.887502000000004)],\n",
       " [(2.2729425000009993, 6.887501999999998), (21.909304999999996, 97.294331)],\n",
       " [(21.909305000000995, 97.294331), (35.000215000000004, 97.302553)],\n",
       " [(35.000215000001006, 97.302553), (45.636577499999994, 60.235106)],\n",
       " [(45.636577500000996, 60.235106), (78.768395, 22.893319000000005)],\n",
       " [(78.768395000001, 22.893319000000005), (93.1865775, 28.254604999999998)],\n",
       " [(93.186577500001, 28.254604999999998), (113.6411225, 6.952233000000007)],\n",
       " [(113.64112250000099, 6.952233000000007), (135.40476, 29.175235999999998)],\n",
       " [(135.404760000001, 29.175235999999998), (170.259305, 12.335468000000006)],\n",
       " [(170.259305000001, 12.335468000000006), (173.2729425, 20.434546999999995)],\n",
       " [(173.272942500001, 20.434546999999995), (191.1865775, 97.083189)],\n",
       " [(191.186577500001, 97.083189), (203.62294250000002, 97.20977400000001)],\n",
       " [(203.62294250000102, 97.20977400000001),\n",
       "  (225.03715250000002, 31.79631100000001)],\n",
       " [(225.037152500001, 31.796311000000006), (228.0911225, 22.466980999999993)],\n",
       " [(228.091122500001, 22.46698099999999), (240.622942499999, 0.0)]]"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "print(len(udls))\n",
    "udls"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "becea106-97ca-4a43-a0db-3b859acd16b7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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Go4G7u3ul7e7u7rh27VqV/UtKSlBSUqL7XKVSAQBOnz4NW1tbg+U6mVSC5SdVcLNQo8PJk7yLdgNRq9W4efMmTrLmDYp1b3isuThY95qJyVLj/cM58LS1wIqBTpBKJLU6TnV1z8/PN0jGRtc41dSSJUuwaNGiKtv79+9v0K8jtXFEs9fXI1WwQt+hT6MsN82gxyciIjJ2TgNehX3IMNw4Homw95eLHadaEkEQjHc8rB6UlpbC2toaP//8M0aOHKnbPmHCBOTk5GDHjh2V9q9uxMnb2xv79+836IgTACw+chcXM8owuqUSo9vYGfTYVD21Wo0TJ04gNDSUfw02INa94bHm4mDd9VemFfDq71lQlQiY18MBHd3ltT5WdXXPz89H//79kZubC3t7+1ofu9GNOMnlcoSEhGD//v26xkmr1WL//v2YNm1alf0VCgUUCkWV7V26dKlT4aszHrfwzrbLOJttgc+6doWklkOUpD+1Wo3MzEx069aNv9QaEOve8FhzcbDu+jsYkw5VSSaa2Mjx0pDusLSo/TTs6upeMdWmrhrd5HAAmDlzJr799lusX78eV69exWuvvYaCggK8+OKLouYa2ModMomAmxkFuJJimG8wERGRKfg1OhkAMKy9Z52apvrW6EacAGDMmDHIyMjAggULkJqaio4dO2LPnj1VJow3NDulJdo4C4jOkmBHdDLaeDmImoeIiKghFJaWYe/lVADAE52aipzm4Yy3patn06ZNQ0JCAkpKSnTnQY1BiEv5lLNfo5OhNeLLMYmIiAzlj6vpKCzVwMfZGp28HcWO81CNtnEyVq0dBdgrLZGqKsaJ+Gyx4xAREdW7HeeSAABPdPQy+vm9bJyMjKUUGNSm/JThr+eTRE5DRERUv+4WlOLw9QwA5Y2TsWPjZISGt/cEAOy+mIqSMo3IaYiIiOrP7kspKNMKaO1pjyA341+Kh42TEerq5wQPeyVyi9Q4HJMhdhwiIqJ6s+Nc+dV0IzsZ/2gTwMbJKFlIJRjeoXzUacf5ZJHTEBER1Y+knCKcvJUNiQQY3oGNE9XBEx3LL8f840oa8orVIqchIiIyvIq1m0L9neHpYCVyGv2wcTJSbbzsEehqg5IyLfZd5n3riIjI/OyIrriazrjXbrofGycjJZFIdG8knq4jIiJzE5Oah2upeZBZSDC4rYfYcfTGxsmIVVyWefRGBjLySh6xNxERkemoGG3q29INjta1v6FvQ2PjZMR8m9igo7cjtAKw6wJHnYiIyDwIgoAd9+Y3mcLaTfdj42TkRt57Q22PZuNERETm4UzCXSTlFMFGboEBrcS9T2xNsXEyckPbe0EqAaJv5yAhq0DsOERERHVWMdoU0dYDSpmFyGlqho2TkXO1U6BHkAuAvy/bJCIiMlVqjRa7LqYAMK2r6SqwcTIBI++9sbZHJ0EQBJHTEBER1d7RG5nILiiFi60cPQKbiB2nxtg4mYDwNu5QWEpxM6MAl5NVYschIiKqtYqr6Ya194Klhem1IaaXuBGyU8owoHX55LmKNxwREZGpKSwtw74r5Ys6m9rVdBXYOJmIJ+7dw+fX88nQaHm6joiITE/klTQUlmrg42yNjt6OYsepFTZOJqJPS1fYKy2RpirByfhsseMQERHV2K/3rd0kkUhETlM7bJxMhMLSAkPbewLg6ToiIjI92QWlOHw9A4DpnqYD2DiZlBEdyq+u230xBSVlGpHTEBER6W/3xRSUaQW08bJHkJud2HFqjY2TCQn1d4aHvRKq4jIciskQOw4REZHeKs6WjDTBtZvux8bJhEilEoy4N7zJxTCJiMhU3LlbiFO37kIiAYZ18BQ7Tp2wcTIxI+5dXffH1TTkFatFTkNERPRov54v/2M/1N8Zng5WIqepGzZOJqb83LAtSsq02Hs5Tew4REREj1RxlsTUT9MBbJxMjkQi0a3pxKvriIjI2F1LVeFaah7kFlIMbmvap+kANk4mqeKmiH/FZiI9r1jkNERERA+2495oU9+WrnCwlomcpu7YOJkgnybW6OTjCK0A7LqQInYcIiKiamm1wn2LXpr+aTqAjZPJqjhdt51X1xERkZE6k3gXSTlFsFVYon8rN7HjGAQbJxM1tL0XLKQSnL+dg1uZBWLHISIiqqJiLm5EGw8oZRYipzEMNk4mytVOgR5BLgD+vsyTiIjIWKg1Wt10ElO+xco/sXEyYSM7VpyuS4IgCCKnISIi+tuRGxm4W6iGi60C3QObiB3HYNg4mbDwNh5QWEoRl1GAy8kqseMQERHpVFxNN6y9JywtzKfdMJ9X0gjZKiwxoLU7AGD7Oa7pRERExqGgpAz77i3SbE6n6QA2TiavYhXW3y4kQ6Pl6ToiIhLfH1fTUKTWwLeJNTp6O4odx6DYOJm4Pi1c4WAlQ5qqBCfis8SOQ0REpDtN90QHL0gkEpHTGBYbJxMnt5RiSLvyJex3nOPVdUREJK7sglL8eT0DADDCTBa9vB8bJzNQcf5496UUlJRpRE5DRESN2a6LKSjTCmjbtPym9OaGjZMZ6ObnDE8HJfKKy3DwWobYcYiIqBHbce9ipSc6mN9oE8DGySxIpRKMuHcLll/P8+o6IiISx+3sQpxOuAuJBBjewbyupqvAxslMjLh3uu6Pq+lQFatFTkNERI1RxZ0sHvNvAg8Hpchp6gcbJzPR2tMezd1sUVqmxd5LqWLHISKiRujXe1fTjexknqNNABsnsyGRSHSTxHnvOiIiamjXUlWIScuD3EKKQW08xY5Tb9g4mZER9ybi/RWbifS8YpHTEBFRY7L93pI4fVu6wsFaJnKa+sPGyYz4NLFGZx9HaAVg5/kUseMQEVEjodUK+O18xWk687yaroJZNU5+fn6QSCSVPj755JNK+1y4cAG9evWCUqmEt7c3PvvsM5HS1o8n7i02tiOaV9cREVHDOJ1wF0k5RbBVWOLxYDex49Qrs2qcAODDDz9ESkqK7uONN97QPaZSqRAeHg5fX1+cOXMGS5cuxQcffIBvvvlGxMSGNbS9JyykEpy/k4v4zAKx4xARUSNQ8cf6oLYeUMosRE5Tv8yucbKzs4OHh4fuw8bGRvfYhg0bUFpaijVr1qBNmzZ49tln8eabb2L58uUiJjYsF1sFega5APj76gYiIqL6Ulqmxa6L5dNDKi5SMmeWYgcwtE8++QSLFy+Gj48Pxo0bhxkzZsDSsvxlRkVFoXfv3pDL5br9IyIi8Omnn+Lu3btwcnKqcrySkhKUlJToPlepVAAAtVoNtdqw6yVVHK+uxx3Wzh2Hr2dg+7k7eK23r9ndYNGQDFVzqhnWveGx5uJoDHU/GJOBnEI1XGzl6OJtbxSvtbq6GyqXWTVOb775Jjp37gxnZ2ccO3YMc+fORUpKim5EKTU1Ff7+/pWe4+7urnususZpyZIlWLRoUZXt+/btg7W1dT28CiAyMrJOz9dqAJnUAvFZhfhm6+/wNr9bBRlcXWtOtcO6NzzWXBzmXPf116UApGhjW4x9e/eIHaeS++teWFhokGMafeP07rvv4tNPP33oPlevXkVwcDBmzpyp29a+fXvI5XK88sorWLJkCRQKRa2+/ty5cysdV6VSwdvbG+Hh4bC3t6/VMR9ErVYjMjISAwcOhExWt0s5/yy8gF2XUpFlF4hXBrc0UELzY8iak/5Y94bHmovD3OteUFKGd08fAqDFG0+EoUMzB7EjAai+7hVnjOrK6BunWbNmYeLEiQ/dJyAgoNrtoaGhKCsrw61bt9CyZUt4eHggLS2t0j4Vn3t4eFR7DIVCUW3TJZPJ6u2HwBDHfrJzM+y6lIpdF1Mxf1gbWEh5uu5h6vP7SQ/Gujc81lwc5lr3Q5fSUaTWwq+JNUL8mhjd1JD7626o+ht94+Tq6gpXV9daPTc6OhpSqRRubuWXRoaFheG9996DWq3WFTAyMhItW7as9jSdKevdwhUOVjKk55XgRFwWut+bME5ERGQoFVfTjejY1OiapvpiNlfVRUVF4d///jfOnz+PuLg4bNiwATNmzMD48eN1TdG4ceMgl8sxadIkXL58GVu2bMHKlSsrnYozF3JLKYa0K1/yfjvXdCIiIgPLyi/BnzcyATSOq+kqmE3jpFAosHnzZvTp0wdt2rTBxx9/jBkzZlRao8nBwQH79u1DfHw8QkJCMGvWLCxYsAAvv/yyiMnrz8h7b+TfL6WiWK0ROQ0REZmT3RdToNEKaNfUAYGujecqJKM/Vaevzp074/jx44/cr3379jhy5EgDJBJfVz9neDkokZxbjEMx6RjU1nxvukhERA1r+721AhvTaBNgRiNOVJVUKsHwe2/oHVwMk4iIDOR2diHOJNyFRAIM78DGiczIEx3K7123/1o6VMXiL0pGRESm79d7N/QNC2gCd3ulyGkaFhsnM9fK0w7N3WxRWqbF7/eWxCciIqotQRCw/Vz5RUeN7TQdwMbJ7EkkEjwd0gwAsPnUbZHTEBGRqTubeBc30vOhlEkxuF3jmzvLxqkReLpzM1hKJTiXmIOY1Dyx4xARkQnbdLL8j/Bh7b1grzS/RT0fhY1TI+Bqp8DA1uX35Nt0MlHkNEREZKpUxWrsvFA+v2lsN2+R04iDjVMj8Ww3HwDA/84lcU0nIiKqlR3RyShWa9HczRadfczrjhv6YuPUSPQKckFTRyvkFqnx+yVOEiciopoRBAGbTpSftXi2m0+jucXKP7FxaiSkUgnGdC0fVq04P01ERKSvi0m5uJKigtxCiqc6NRU7jmjYODUio7s0g1QCnIzPxs2MfLHjEBGRCan4o3tQWw842chFTiMeNk6NiKeDFfq1dAMAbOHSBEREpKeCkjL8eu+G8c820knhFdg4NTIVk8R/OXMHpWVakdMQEZEp2HkhGQWlGvg1sUZYQBOx44iKjVMj06+lK9ztFcgqKEXklTSx4xARkQmoOE03pmvjnRRegY1TI2NpIcXokPJh1s2nuKYTERE93LVUFaJv58BSKsGoe3eiaMzYODVCFVfXHbmRidvZhSKnISIiY7b53mjTgFbucLVTiJxGfGycGiFvZ2v0au4CgJPEiYjowYrVGmw7ewcAJ4VXYOPUSD3btXyS+NYzt1Gm4SRxIiKq6vdLKVAVl6GpoxV6NXcVO45RYOPUSA1s7Y4mNnKkqUpwMCZD7DhERGSEKiaFP9PFGxbSxj0pvAIbp0ZKbinF0/cm+W3mjX+JiOgfbmbk42R8NqQS4JmunBRegY1TI1YxSfxgTDpScotETkNERMakYg5s35Zu8HSwEjmN8WDj1IgFutqim78ztAKw9fQdseMQEZGRKC3T4pcz9yaFd+Wk8PuxcWrkxt67SmLLqdvQagWR0xARkTGIvJKGrIJSuNkp8Hiwm9hxjAobp0ZucFtP2CstkZRThCOxmWLHISIiI1CxQPIzXbxhacFW4X6sRiOnlFngqc6cJE5EROVuZxfiyI3yP6TH8DRdFWycSLeoWeSVNGTklYichoiIxFQxKbxXcxd4O1uLnMb4sHEiBHvYo6O3I8q0An45y0niRESNVZlGi59OlzdOFQslU2VsnAjA35PEN59MhCBwkjgRUWN04Fo60vNK0MRGjoGt3cWOY5TYOBEAYFh7L9jILXArqxBRcVlixyEiIhFsvnea7umQZpBbskWoDqtCAAAbhSVGdGwK4O87YRMRUeORkluEQzHpADgp/GHYOJHOuG7l57P3XErF3YJSkdMQEVFD+unUHWgFoJu/MwJdbcWOY7TYOJFOu2YOaONlj1KNFtvOJYkdh4iIGohGK+gmhVfMeaXqsXGiSp69N+rESeJERI3HkRsZSMopgr3SEoPbeoodx6ixcaJKnujoBSuZBW6k5+Ns4l2x4xARUQOomNv6VOdmUMosRE5j3Ng4USX2ShmGti//a2MTJ4kTEZm9jLwS/HE1DcDfCyLTg7Fxoioqzm/vvJAMVbFa5DRERFSffj5zB2VaAR29HRHsYS92HKPHxomq6OzjhOZutihWa7EjOlnsOEREVE8EQcCWezf05aRw/bBxoiokEkmlSeJERGSeouKycCurEDZyCwxr7yV2HJPAxomq9VSnppBbSHE5WYWLd3LFjkNERPWgYlL4iI5NYaOwFDmNaWDjRNVyspFjUFsPAMCmUxx1IiIyN3cLSrHnUiqAvxdApkdj40QPVHF1xa/RySgoKRM5DRERGdK2c0ko1WjRxsse7Zo5iB3HZLBxogcKC2gCvybWyC8pw64LKWLHISIiAxEEQTeH9VmONtUIGyd6IIlEgjFdy3+geLqOiMh8nE28ixvp+bCSWeCJjpwUXhNsnOihRoU0g6VUgnOJOYhJzRM7DhERGUDFAsdD23vCXikTOY1pMZnG6eOPP0b37t1hbW0NR0fHavdJTEzE0KFDYW1tDTc3N8yePRtlZZXn5hw6dAidO3eGQqFAUFAQ1q1bV//hTZirnQIDWrkDADZxaQIiIpOnKlZj54XyNfq4dlPNmUzjVFpaitGjR+O1116r9nGNRoOhQ4eitLQUx44dw/r167Fu3TosWLBAt098fDyGDh2Kfv36ITo6GtOnT8fkyZOxd+/ehnoZJqlikvi2s3dQrNaInIaIiOpix7kkFKu1aO5mi84+TmLHMTkm0zgtWrQIM2bMQLt27ap9fN++fbhy5Qr++9//omPHjhg8eDAWL16Mr776CqWlpQCA1atXw9/fH59//jlatWqFadOmYdSoUVixYkVDvhST06u5K5o6WkFVXIbfL3GSOBGRqRIEQXea7tluPpBIJCInMj1ms9pVVFQU2rVrB3d3d922iIgIvPbaa7h8+TI6deqEqKgoDBgwoNLzIiIiMH369Acet6SkBCUlJbrPVSoVAECtVkOtNux93CqOZ+jjGsLTnb3wxYGb2HgiEcPauj/6CSbCmGtuzlj3hseai8PY6n4xKRdXUlSQWUgwvJ2b0eQytOrqbqjXajaNU2pqaqWmCYDu89TU1Ifuo1KpUFRUBCsrqyrHXbJkCRYtWlRl+759+2BtbW2o+JVERkbWy3HrokkJIIEFTt26i7W/7IZ71VKZNGOseWPAujc81lwcxlL3LTelAKRo56hB1KE/xI5T7+6ve2FhoUGOKWrj9O677+LTTz996D5Xr15FcHBwAyWqau7cuZg5c6buc5VKBW9vb4SHh8Pe3rB3kVar1YiMjMTAgQMhkxnfVQ4H88/i0PVMpNkE4sVBLcWOYxDGXnNzxbo3PNZcHMZU94KSMsw7cxiABjNGdMNjAc6i5qlP1dW94oxRXYnaOM2aNQsTJ0586D4BAQF6HcvDwwMnT56stC0tLU33WMV/K7bdv4+9vX21o00AoFAooFAoqmyXyWT19kNQn8eui3Ghvjh0PRPbo1PwzuDWkFuazBS5RzLWmps71r3hsebiMIa6741OQUGpBn5NrNGzhVujmN90f90NVX9RGydXV1e4uroa5FhhYWH4+OOPkZ6eDjc3NwDlQ3T29vZo3bq1bp/du3dXel5kZCTCwsIMksHcPR7sBjc7BdLzShB5JQ1D23uKHYmIiPRUMSl8TFdOCq8LkxkySExMRHR0NBITE6HRaBAdHY3o6Gjk5+cDAMLDw9G6dWs8//zzOH/+PPbu3Yv58+dj6tSpuhGjV199FXFxcZgzZw6uXbuG//u//8NPP/2EGTNmiPnSTIalhRSjuzQDAGzmSuJERCbjWqoK0bdzYCmVYFRIM7HjmDSTaZwWLFiATp06YeHChcjPz0enTp3QqVMnnD59GgBgYWGBnTt3wsLCAmFhYRg/fjxeeOEFfPjhh7pj+Pv7Y9euXYiMjESHDh3w+eef47vvvkNERIRYL8vkjOlSfguWIzcycTvbMBPtiIiofm2+N9o0oJU7XO2qTj8h/ZnMVXXr1q175Crfvr6+VU7F/VPfvn1x7tw5AyZrXHyaWKNnkAuOxmZiy6nbeDvCPCaJExGZq2K1BtvO3gHw94LGVHsmM+JExqPiB2/rmdso02hFTkNERA/z+6UUqIrL0NTRCr2aG2ZecWPGxolqLLy1B5rYyJGmKsHBmAyx4xAR0UNUTAp/pos3LKScFF5XbJyoxuSWUjx9b3LhZt74l4jIaN3MyMfJ+GxIJcAzXTkp3BDYOFGtjOlafrruYEw6UnKLRE5DRETV2XKqfLSpX0s3eDqY2S0fRMLGiWol0NUW3fydoRWArafviB2HiIj+obRMi1/OVEwK9xE5jflg40S1NvbeJPEtpzhJnIjI2Oy9nIqsglK42yvQryUnhRsKGyeqtcFtPeFsI0dSThH2Xk579BOIiKhBCIKA74/GAyhfKdzSgv/cGworSbWmlFlgfGj58O93R+NETkNERBXOJt5F9O0cyC2leP4xX7HjmBU2TlQnz4f5QW4hxbnEHJxJyBY7DhERAfj2z/LRpic7NuVK4QbGxonqxNVOgZGdvAAA3x2JFzkNERElZBVg75VUAMCkXv4ipzE/bJyozib3CgBQPhExMYv3ryMiEtPav25BEIA+LVzRwt1O7Dhmh40T1VkLdzv0buEKrQCs+YujTkREYsktVOOn0+VrN03maFO9YONEBjHl3g/oT6dvI7dQLXIaIqLGaePJRBSWahDsYYeeQS5ixzFLbJzIIHoGuSDYww6FpRpsOsXbsBARNbTSMi3WHSsf9Z/U0x8SCe9LVx/YOJFBSCQSTOpZPuq07q9bKC3jgphERA1p18VkpKlK4GqnwIiOXmLHMVtsnMhgRnT0gqudAqmqYuy+mCJ2HCKiRkMQBN2VzRPCfKGwtBA5kfli40QGo7C0wISw8oXWvj0SB0EQRE5ERNQ4RMVl4XKyCkqZFM+FcsHL+sTGiQzquVBfKGVSXE5WISouS+w4RESNQsVo06iQZnCykYucxryxcSKDcrKRY1RIMwDA91wQk4io3sWm5+PAtXRIJMBLPbgEQX1j40QG91IPf0gkwP5r6YhNzxc7DhGRWau4mW//YHcEuNqKnMb8sXEigwtwtUX/YHcAXBCTiKg+ZeWXYNvZOwD+Xk+P6hcbJ6oXFT/Av5y5g6z8EpHTEBGZp/8eT0RJmRbtmzmgm7+z2HEaBTZOVC+6+TujXVMHlJRpseEEF8QkIjK0YrUGPx6/BYALXjYkNk5ULyQSie4+ST9E3UKxWiNyIiIi87IjOgmZ+aXwclBiSDtPseM0GmycqN4MaecJTwclMvNL8Wt0sthxiIjMxv0LXk7s4QeZBf85byisNNUbmYUUL/bwAwB8d5QLYhIRGcrh6xm4kZ4PG7kFnu3mI3acRoWNE9WrMV19YCO3wPW0fPx5I1PsOEREZqFiCYIxXX1gr5SJnKZxqVXj9MMPP6CkpOqVUqWlpfjhhx/qHIrMh4OVDGO6lv819N2ROJHTEBGZvqspKhy5kQmpBLpRfWo4tWqcXnzxReTm5lbZnpeXhxdffLHOoci8vNjDD1IJcORGJq6lqsSOQ0Rk0ipGmwa39YS3s7XIaRqfWjVOgiBUe9njnTt34ODgUOdQZF68na0xuG35FR/f8TYsRES1lq4qxo7oJADQXblMDcuyJjt36tQJEokEEokE/fv3h6Xl30/XaDSIj4/HoEGDDB6STN+kXv7YdTEFO6KTMCeiJdzslWJHIiIyOT9EJUCtERDi64ROPk5ix2mUatQ4jRw5EgAQHR2NiIgI2Nr+fU8cuVwOPz8/PP300wYNSOahs48TQnydcCbhLn6ISsDbES3FjkREZFIKS8vw3xMJAHh7FTHVqHFauHAhAMDPzw9jxoyBUslRA9Lf5J7+OJNwF/89kYCp/YJgJbcQOxIRkcn45WwScgrV8HG2xsDWHmLHabRq1DhVmDBhAoDyq+jS09Oh1WorPe7jwzUlqKrwNh7wdrbC7ewi/Hz2Dp5/zFfsSEREJkGrFbDm3qTwl3r4wULK26uIpVaTw2/cuIFevXrBysoKvr6+8Pf3h7+/P/z8/ODvz+FDqp6FVIKXepS/P9YcjYdWywUxiYj0sf9aOuIzC2CvtMToLt5ix2nUajXiNHHiRFhaWmLnzp3w9PTkjQVJb8908cbyyOuIzyzA/mvpGNjaXexIRERG79t76+CNC/WFjaJW/3STgdSq+tHR0Thz5gyCg4MNnYfMnI3CEuNCffD14Th8dySOjRMR0SNcuJODk/HZsJRKMKE7pziIrVan6lq3bo3MTN4+g2pnYnc/WEolOBGfjYt3qi6kSkREf6tY/254By94OliJnIZq1Th9+umnmDNnDg4dOoSsrCyoVKpKH0QP4+lghWHt7y2IeZS3YSEiepDknCLsupgCAJjUk3OIjUGtTtUNGDAAANC/f/9K2ytWFNdoNHVPRmZtcq8AbI9Oxs4LKXhnUDC8HPlXFBHRP607dgsarYCwgCZo25R35jAGtWqcDh48aOgc1Mi0beqAxwKccTwuG+uP3cLcIa3EjkREZFTyS8qw6UQiAN5exZjUqnHq06ePoXNQIzSlVwCOx2Vj48lEvNG/OWx5pQgRkc6WU7eRV1KGAFcb9GvpJnYcuqdWc5wA4MiRIxg/fjy6d++OpKTyGw7++OOPOHr0qMHCkXnr19INAa42yCsuw0+nbosdh4jIaJRptFj7V/mk8Ek9/SHlgpdGo1aN0y+//IKIiAhYWVnh7NmzKCkpAQDk5ubiX//6l0EDVvj444/RvXt3WFtbw9HRsdp9Km5AfP/H5s2bK+1z6NAhdO7cGQqFAkFBQVi3bl295KVHk0olusmOa/6KR5lG+4hnEBE1Dnsvp+HO3SI4WcvwdOdmYseh+9Sqcfroo4+wevVqfPvtt5DJZLrtPXr0wNmzZw0W7n6lpaUYPXo0XnvttYfut3btWqSkpOg+Km5MDADx8fEYOnQo+vXrh+joaEyfPh2TJ0/G3r176yUzPdpTnZrByVqGO3eLsO9KmthxiIiMQsUVx88/5guljPf1NCa1mlQSExOD3r17V9nu4OCAnJycumaq1qJFiwDgkSNEjo6O8PCo/uaHq1evhr+/Pz7//HMAQKtWrXD06FGsWLECERERBs1L+rGSW+D5x3zxxYFYfHskDkPaeYodiYhIVGcSsnEuMQdyCymeD/MTOw79Q61GnDw8PBAbG1tl+9GjRxEQEFDnUHUxdepUuLi4oFu3blizZg0E4e/7oUVFRemWUqgQERGBqKioho5J9xkf5gu5hRTnEnNwJuGu2HGIiERVseDlyE5ecLVTiJyG/qlWI05TpkzBW2+9hTVr1kAikSA5ORlRUVF4++238f777xs6o94+/PBDPP7447C2tsa+ffvw+uuvIz8/H2+++SYAIDU1Fe7ulW/x4e7uDpVKhaKiIlhZVV1LqKSkRDeHC4BugU+1Wg21Wm3Q/BXHM/RxjZ2T0gIjOnji57NJ+OZwLFaN7dhgX7ux1lxsrHvDY83FUdO6J2YXYu/lVADAxMd8+P2qperqbqha1qpxevfdd6HVatG/f38UFhaid+/eUCgUePvtt/HGG2/U6DiffvrpQ/e5evWq3vfEu79p69SpEwoKCrB06VJd41QbS5Ys0Z0mvN++fftgbW1d6+M+TGRkZL0c15gFagDAEvuupOGHbbvhomzYr98Ya24MWPeGx5qLQ9+6/xIvhVaQIthBixtn/sSNes5l7u6ve2FhoUGOWavGSSKR4L333sPs2bMRGxuL/Px8tG7dGra2tjU6zqxZszBx4sSH7lOXU3+hoaFYvHgxSkpKoFAo4OHhgbS0yhOQ09LSYG9vX+1oEwDMnTsXM2fO1H2uUqng7e2N8PBw2Nvb1zpbddRqNSIjIzFw4MBKk+4bi2MFZ3AkNgsJigC8MKRhbiDd2GsuFta94bHm4qhJ3XOL1Jh75k8AGrwzsit6BjVpmJBmqLq6G+qWcHVacVAul6N169a1fr6rqytcXV3rEuGhoqOj4eTkBIWi/BxxWFgYdu/eXWmfyMhIhIWFPfAYCoVC9/z7yWSyevvlU5/HNmZTegfiSGwWfj6bhFkRwXCwargaNNaai411b3isuTj0qfvPxxJRWKpBsIcd+ga7QyLh2k11dX/dDfW+r1XjVFxcjC+//BIHDx5Eeno6tNrK6+/Ux5IEiYmJyM7ORmJiIjQaDaKjowEAQUFBsLW1xW+//Ya0tDQ89thjUCqViIyMxL/+9S+8/fbbumO8+uqrWLVqFebMmYOXXnoJBw4cwE8//YRdu3YZPC/VXK/mLmjpboeYtDxsOpmIV/sEih2JiKhBlJZpse6vWwDKF7xk02S8atU4TZo0Cfv27cOoUaPQrVu3BvkGL1iwAOvXr9d93qlTJwDl983r27cvZDIZvvrqK8yYMQOCICAoKAjLly/HlClTdM/x9/fHrl27MGPGDKxcuRLNmjXDd999x6UIjIREIsGkXv6Y8/MFrPvrFib19IfMotaL2xMRmYzdF1OQqiqGq50CIzp6iR2HHqJWjdPOnTuxe/du9OjRw9B5HmjdunUPXcNp0KBBGDRo0COP07dvX5w7d86AyciQnujohc/2xCBVVYxdF1IwslNTsSMREdUrQRDw7ZHyBS8nhPlCYckFL41Zrf6cb9q0Kezs7AydhQgKSwtMCPMFUL5y7v3rcBERmaPjcdm4nKyCUibFc6G+YsehR6hV4/T555/jnXfeQUJCgqHzEOG5x3yhlElxKUmF43HZYschIqpX390bbRoV0gxONnKR09Cj1Kpx6tKlC4qLixEQEAA7Ozs4OztX+iCqC2cbOUaFlN/U8ov9XMWEiMzXxTu52H8tHRIJ8FIPf7HjkB5qNcdp7NixSEpKwr/+9S+4u/OSSTK81/oG4adTdxAVl4VjsZnoHuQidiQiIoNbHhkDABjZsSkCXGu2FiKJo1aN07FjxxAVFYUOHToYOg8RAKCpoxXGhfpg3bFbWLYvBr8ENmGDTkRm5UxCNg7GZMBCKsFb/ZuLHYf0VKtTdcHBwSgqKjJ0FqJKXu8bCKVMirOJOTgUkyF2HCIig/p833UAwOiQZvBzsRE5DemrVo3TJ598glmzZuHQoUPIysqCSqWq9EFkCG72SkwI8wMALNsXwyvsiMhsHIvNxLGbWZBbSPEGR5tMSq1O1VWsl9S/f/9K2wVBgEQigUajqXsyIgCv9AnEf48n4HKyCnsupWJwO0+xIxER1YkgCFi2r3xu09hu3mjqWP29Usk41apxOnjwoKFzEFXL2UaOST398cWBWCyPvI7wNh6wkHKuExGZrkMxGTibmAOFpRRT+wWJHYdqqFaNU58+fQydg+iBJvUKwPqoBNxIz8dv55O5mjgRmaz7R5smdPeDm71S5ERUU7VqnAAgJycH33//Pa5evQoAaNOmDV566SU4ODgYLBwRADhYyfBy7wAs3RuDf/9xHUPbe/IedkRkkvZeTsXlZBVs5Ba8kbmJqtW/PqdPn0ZgYCBWrFiB7OxsZGdnY/ny5QgMDMTZs2cNnZEIE7v7oYmNHLeyCrHt7B2x4xAR1ZhGK2B5ZPmVdJN6+sOZq4SbpFo1TjNmzMCIESNw69YtbNu2Ddu2bUN8fDyGDRuG6dOnGzgiEWCjsMRrfcv/OvtifyxKyngBAhGZlp0XknE9LR/2SktM6hUgdhyqpVqPOL3zzjuwtPz7TJ+lpSXmzJmD06dPGywc0f3GP+YLd3sFknKKsOXUbbHjEBHprUyjxYp7o02v9AmEg5VM5ERUW7VqnOzt7ZGYmFhl++3bt2FnZ1fnUETVUcosMO3x8vVOvjwQi6JSjjoRkWn4X3QKbmUVwtlGjond/cSOQ3VQq8ZpzJgxmDRpErZs2YLbt2/j9u3b2Lx5MyZPnoyxY8caOiORzpgu3mjmZIWMvBL8ePyW2HGIiB6pTAusOngTQPkdEWwUtb4ui4xArb57y5Ytg0QiwQsvvICysjIIggC5XI7XXnsNn3zyiaEzEunILaV4q39zzP75Av5z6CbGhfrClr+EiMiIRaVLkJxbDDc7BcY/5it2HKqjWo04yeVyrFy5Enfv3kV0dDTOnz+P7OxsrFixAgqFwtAZiSp5slNTBLjY4G6hGmuPxosdh4jogYpKNdh3p/yf2jceD4JSZiFyIqqrGv2p/tJLL+m135o1a2oVhkgflhZSTB/YAm9uOodvjsThhTA/OFhzoiURGZ+Np25DpZagqaMSY7r6iB2HDKBGI07r1q3DwYMHkZOTg7t37z7wg6i+DWvniZbudsgrLsO3R+LEjkNEVEV+SRm+/rN8VHxav0DILblwrzmo0YjTa6+9hk2bNiE+Ph4vvvgixo8fD2dn5/rKRvRAUqkEM8Nb4JUfz2DNX/F4sYcfmtjyNDERGY91f8XjbqEarkoBIzvwBuXmokbt71dffYWUlBTMmTMHv/32G7y9vfHMM89g7969EAShvjISVSu8tTvaNXVAYakGqw/fFDsOEZFObqEaX/9ZPho+2FsLS94mymzU+DupUCgwduxYREZG4sqVK2jTpg1ef/11+Pn5IT8/vz4yElVLIpFgVngLAMAPUQlIUxWLnIiIqNy3R+KQV1yGFm626NSEAwvmpE4tsFQqhUQigSAI0Gi4GCE1vD4tXNHVzwklZVqsOhArdhwiImTll2DNX+Vzm97qHwipRORAZFA1bpxKSkqwadMmDBw4EC1atMDFixexatUqJCYmwtbWtj4yEj1Q+ahTSwDA5lOJuJ1dKHIiImrsVh++icJSDdo2tcfAVm5ixyEDq1Hj9Prrr8PT0xOffPIJhg0bhtu3b2Pr1q0YMmQIpFKevyVxPBbQBD2DXKDWCPjywA2x4xBRI5amKsYPUQkAgFnhLSGRcLjJ3NToqrrVq1fDx8cHAQEBOHz4MA4fPlztftu2bTNIOCJ9zQxvgaOxmfjlbBJe7ROIAFeOfhJRw/vqYCxKyrTo4uuEvi1cUVZWJnYkMrAaNU4vvPACu2cySp19nNA/2A37r6Vj5f4bWPlsJ7EjEVEjc+duITadTATA0SZzVqPGad26dfUUg6juZgxsgf3X0vHr+WS83jcILT3sxI5ERI3Il/tjodYI6BHUBGGBTcSOQ/WEE5PIbLRt6oAh7TwgCMDyyBix4xBRIxKfWYCfz94BAMwc2FLkNFSf2DiRWZk5sAWkEmDv5TRcvJMrdhwiaiT+/cd1aLQCHg92Q4ivk9hxqB6xcSKzEuRmh5EdmwIAPueoExE1gJjUPPx6PhlA+R9vZN7YOJHZeWtAc1hIJTgUk4HTt7LFjkNEZm5F5HUIAjC4rQfaNnUQOw7VMzZOZHZ8m9jgmS7NAACf77suchoiMmcX7+Riz+VUSCTlF6iQ+WPjRGZp2uPNIbeQIiouC8diM8WOQ0RmquJClJEdm6KFO6/kbQzYOJFZaupohXGhPgCAZftiIAi8ySYRGdaZhGwcjMmAhVSCt/o3FzsONRA2TmS2Xu8XCKVMirOJOTgYky52HCIyM8v2lk8FGB3SDH4uNiKnoYbCxonMlpudEhO6+wEon+uk1XLUiYgM41hsJqLisiC3kOINjjY1KmycyKy92jsQtgpLXE5WYe/lVLHjEJEZEAQBy/aVz20a280bTR2tRE5EDYmNE5k1Jxs5XurpDwBYHlm+QB0RUV0cisnA2cQcKCylmNovSOw41MDYOJHZm9TTHw5WMtxIz8dv9xapIyKqjftHmyZ094ObvVLkRNTQ2DiR2XOwkuHl3gEAym+LoNZoRU5ERKZq7+VUXE5WwUZugVf7BIodh0TAxokahYnd/eBiK8etrEJsu3cjTiKimtBoBSyPLL+SblJPfzjbyEVORGIwicbp1q1bmDRpEvz9/WFlZYXAwEAsXLgQpaWllfa7cOECevXqBaVSCW9vb3z22WdVjrV161YEBwdDqVSiXbt22L17d0O9DBKRjcISr/Utn4vwxf5YlJRpRE5ERKZm54VkXE/Lh73SEpN6BYgdh0RiEo3TtWvXoNVq8fXXX+Py5ctYsWIFVq9ejXnz5un2UalUCA8Ph6+vL86cOYOlS5figw8+wDfffKPb59ixYxg7diwmTZqEc+fOYeTIkRg5ciQuXbokxsuiBvZcqA887JVIyinC5pO3xY5DRCZErdFixb3Rplf6BMLBSiZyIhKLSTROgwYNwtq1axEeHo6AgACMGDECb7/9NrZt26bbZ8OGDSgtLcWaNWvQpk0bPPvss3jzzTexfPly3T4rV67EoEGDMHv2bLRq1QqLFy9G586dsWrVKjFeFjUwpcwC0x4vH3VadTAW+SVlIiciIlPx0+nbuJVVCGcbOSbeWx+OGieTaJyqk5ubC2dnZ93nUVFR6N27N+Tyv885R0REICYmBnfv3tXtM2DAgErHiYiIQFRUVMOEJtE908Ubfk2skZFXgn9H8gbARPRo2QWlWLq3/Eq6af2CYKOwFDkRickkv/uxsbH48ssvsWzZMt221NRU+Pv7V9rP3d1d95iTkxNSU1N12+7fJzX1wQsjlpSUoKSkRPe5SqUCAKjVaqjV6jq/lvtVHM/Qx6W/SQC8PzQYk344i7XHbmFoGxcArHlD43u94bHmtbdk9xXkFKoR7G6LsV28alRD1l0c1dXdUN8DURund999F59++ulD97l69SqCg4N1nyclJWHQoEEYPXo0pkyZUt8RsWTJEixatKjK9n379sHa2rpevmZkZGS9HJf+1tFZiuhsKWZuPIk327DmYmHdGx5rXjPxecDWS+X/VEa45GDf3j21Og7rLo77615YWGiQY4raOM2aNQsTJ0586D4BAX9fuZCcnIx+/fqhe/fulSZ9A4CHhwfS0tIqbav43MPD46H7VDxenblz52LmzJm6z1UqFby9vREeHg57e/uHZq8ptVqNyMhIDBw4EDIZJx7Wp049ijHoi78Qn6fByQwJ3n9uAGvegPheb3isec2VabR48j/HAeRjVOemmPZkmxofg3UXR3V1rzhjVFeiNk6urq5wdXXVa9+kpCT069cPISEhWLt2LaTSytOzwsLC8N5770GtVuuKFBkZiZYtW8LJyUm3z/79+zF9+nTd8yIjIxEWFvbAr6tQKKBQKKpsl8lk9fZDUJ/HpnI+LjLMGNACH+++il8TpJihFuBmzZo3NL7XGx5rrr/1x+NwLS0fjtYyzBvauk51Y93FcX/dDVV/k5gcnpSUhL59+8LHxwfLli1DRkYGUlNTK81NGjduHORyOSZNmoTLly9jy5YtWLlyZaXRorfeegt79uzB559/jmvXruGDDz7A6dOnMW3aNDFeFolsYg8/tHCzRUGZBJ9H3hA7DhEZkdTcYt3yA+8OCuZil6RjEo1TZGQkYmNjsX//fjRr1gyenp66jwoODg7Yt28f4uPjERISglmzZmHBggV4+eWXdft0794dGzduxDfffIMOHTrg559/xvbt29G2bVsxXhaJTGYhxaIRrQAAW04n4WziXZETEZGxWLzrCgpKNejk44hnuniLHYeMiElcVTdx4sRHzoUCgPbt2+PIkSMP3Wf06NEYPXq0gZKRqevi64RQVy1OZEgx/3+X8Ou0HrC0MIm/J4ionvx5PQO7LqRAKgE+GtkWUqlE7EhkRPgvBDV6I3y1cLCyxJUUFX48niB2HCISUbFagwU7yu8mMaG7H9p4OYiciIwNGydq9GxlwNsDWwAAPt93HemqYpETEZFYvvkzDreyCuFmp8DMe78XiO7HxokIwDMhTdHB2xH5JWVYvOuq2HGISAQJWQVYdTAWADB/WGvYKXkVHFXFxokIgFQqwccj20IqAX47n4yjNzLFjkREDUgQBCzYcRmlZVr0DHLB8Paej34SNUpsnIjuadvUAS+E+QEAFuy4hJIyjbiBiKjB7L2cisPXMyC3kOLDJ9pAIuGEcKoeGyei+8wMbwFXOwXiMgvw7Z9xYschogZQUFKGRb9dAQC80icAAa62IiciY8bGieg+9koZ5g8tX9vpywOxuJ1tmHsbEZHx+mL/DaTkFsPb2QpT+wWJHYeMHBsnon8Y0cEL3QOboKRMi4W/XoYgCGJHIqJ6EpOah++PxgMAPhjeBkqZhciJyNixcSL6B4lEgg+faAuZhQQHrqVj35W0Rz+JiEyOIAh4f/sllGkFhLd2R/9W7mJHIhPAxomoGkFutni5dwAAYNGvl1FYWiZyIiIytF/OJuHkrWxYySywcEQbseOQiWDjRPQA0/o1R1NHKyTnFuOL/bFixyEiA8opLMWS3eVrtr01oPxnnUgfbJyIHsBKboFF9/4K/e5IHG6k5YmciIgMZeneGGQVlKK5my1e6uEvdhwyIWyciB5iQGt3DGztjjKtgPnbL3GiOJEZiL6dg40nEwEAi0e2hdyS/xSS/vhuIXqEhcNbQymT4kR8NrZHJ4kdh4jqQKMVMH/7RQgC8FSnpngsoInYkcjEsHEieoRmTtZ4s39zAMDHu64it0gtciIiqq0NJxJwKUkFe6Ul5g5pJXYcMkFsnIj0MLlnAAJdbZCZX4ple2PEjkNEtZCeV4yle8p/fmcPCoarnULkRGSK2DgR6UFuKcXikW0BAP89kYALd3LEDURENfavXVeRV1KG9s0cMK6bj9hxyESxcSLSU/dAF4zs6AVBAOZvvwSNlhPFiUzFsZuZ2B6dDIkE+GhkW1hIeRNfqh02TkQ1MG9oK9gpLXHhTq7uqhwiMm6lZVq8v/0SAGB8qC/aN3MUNxCZNDZORDXgZqfE7IiWAIDP9lxDRl6JyImI6FG+OxqHmxkFcLGV4+3wlmLHIRPHxomohp4L9UXbpvbIKy7Dkt+vih2HiB7izt1CfLH/BgBg3pBWcLCWiZyITB0bJ6IaspBK8NHIdpBIgG1nk3A8LkvsSET0AB/8egXFai1C/Z3xZKemYschM8DGiagWOno76q7KeX/7JZSWaUVORET/FHklDX9cTYOlVIKPRraFRMIJ4VR3bJyIamlORDCa2MhxIz0fa/6KFzsOEd2nqFSDD369DACY3CsAzd3tRE5E5oKNE1EtOVjLdCsPr/zjBpJyikROREQVVh0s/5n0clDizf5BYschM8LGiagOnu7cFN38nFGk1uDD3y6LHYeIAMSm5+ObP+MAAAtHtIG13FLkRGRO2DgR1YFEIsHikW1hKZVg7+U0HLiWJnYkokZNEAQs2HEJao2Ax4PdEN7aXexIZGbYOBHVUUsPO0zq6Q8AWPjrZRSrNSInImq8fj2fjGM3s6CwlGLRiDacEE4Gx8aJyADe7N8cng5K3M4uwvLI62LHIWqUMvNLsHhn+dpqbzweBG9na5ETkTli40RkADYKS3z4RPlNgL/5Mw4HY9JFTkTUuGi1AmZsiUZmfgmau9liSu8AsSORmWLjRGQgA1u7Y0KYLwBg1k/nkZpbLHIiosbjP4dv4siNTChlUnz1XGcoLC3EjkRmio0TkQHNG9oKbZvaI7ugFG9uOocyDRfGJKpvp25l606Rf/hEW7Tgmk1Uj9g4ERmQwtICq8Z2hq3CEidvZePff9wQOxKRWcsuKMUbG89BoxXwZKemGB3STOxIZObYOBEZmJ+LDZY81Q4A8NWhWBy5kSFyIiLzpNUKmPVTNFJVxQhwteFtVahBsHEiqgfDO3hhXKgPBAGYvjka6SrOdyIytG+PxOFgTAYUllJ8Na4zbBRc6JLqHxsnonqyYFhrBHvYIaugFG9tjoZGK4gdichsnEm4i6V7YwAAC4e3QStPe5ETUWPBxomonihlFvjquc6wllsgKi4LXx7gfCciQ8gpvHfxhVbA8A5eGNvNW+xI1IiwcSKqR4GutvjXk+XznVbuv4FjNzNFTkRk2gRBwNtbLyAppwh+Tazxryc5r4kaFhsnono2slNTjOniDUEA3tocjYy8ErEjEZmsNX/dwh9X0yC3kGLVuM6wU8rEjkSNDBsnogbwwYg2aOFui4y8Esz8KRpaznciqrHzt3Pwye/lt1SZP6wV2jZ1EDkRNUZsnIgagJXcAl+N6wwrmQWO3MjE/x2KFTsSkUnJLVJj6sazUGsEDGnngecf8xU7EjVSbJyIGkhzdzt8+EQbAMDyyOs4EZclciIi0yAIAt75+QLu3C2Ct7MVPnm6Pec1kWjYOBE1oNFdvPFU56bQCsCbm88hK5/znYge5cfjCdhzORUyCwm+GtcZ9pzXRCJi40TUwBY/0RaBrjZIU5Vg1tbznO9E9BCXknLx0c7yeU1zB7dC+2aO4gaiRs8kGqdbt25h0qRJ8Pf3h5WVFQIDA7Fw4UKUlpZW2kcikVT5OH78eKVjbd26FcHBwVAqlWjXrh12797d0C+HGjkbheW9u7dLcSgmA98ciRM7EpFRyisun9dUqtEivLU7XuzhJ3YkItNonK5duwatVouvv/4aly9fxooVK7B69WrMmzevyr5//PEHUlJSdB8hISG6x44dO4axY8di0qRJOHfuHEaOHImRI0fi0qVLDflyiBDsYY9FI8rnOy3dG4MzCdkiJyIyLoIgYO62i0jIKkRTRyssHdWB85rIKJhE4zRo0CCsXbsW4eHhCAgIwIgRI/D2229j27ZtVfZt0qQJPDw8dB8y2d/nwleuXIlBgwZh9uzZaNWqFRYvXozOnTtj1apVDflyiAAAY7p6Y0QHL2i0At7YeA53C0of/SSiRmLjyUTsvJACS6kEX47rBAdrzmsi42Cyd0TMzc2Fs7Nzle0jRoxAcXExWrRogTlz5mDEiBG6x6KiojBz5sxK+0dERGD79u0P/DolJSUoKfl7Aq9KpQIAqNVqqNXqOr6KyiqOZ+jj0oOJXfNFw4Nx4U4ObmUVYtZP0Vj9XMdG8Ve12HVvjEyp5ldT8rDotysAgFkDm6Odp61J5K6OKdXdnFRXd0N9D0yycYqNjcWXX36JZcuW6bbZ2tri888/R48ePSCVSvHLL79g5MiR2L59u655Sk1Nhbu7e6Vjubu7IzU19YFfa8mSJVi0aFGV7fv27YO1tbWBXlFlkZGR9XJcejAxaz66KbAi2wIHYjIw5/s96OfVeCaL873e8Iy95sUa4PMLFigtk6C1oxYeuVewe/cVsWPVmbHX3VzdX/fCwkKDHFPUxundd9/Fp59++tB9rl69iuDgYN3nSUlJGDRoEEaPHo0pU6botru4uFQaTeratSuSk5OxdOnSSqNONTV37txKx1WpVPD29kZ4eDjs7Q17N261Wo3IyEgMHDiw0ilGqj/GUnMb39v44Ler2HnbEuMHdUOHZua9IrKx1L0xMYWaC4KAt3++hPTiFHjYK7DutTA4WcvFjlUnplB3c1Rd3SvOGNWVqI3TrFmzMHHixIfuExAQoPv/5ORk9OvXD927d8c333zzyOOHhoZW6jY9PDyQlpZWaZ+0tDR4eHg88BgKhQIKhaLKdplMVm8/BPV5bKqe2DWf0N0fp27lYNfFFEz/6QJ2vdkLDlbm/x4Qu+6NkTHX/KdTt/HrhRRYSCVYNa4z3BxsxI5kMMZcd3N2f90NVX9RGydXV1e4urrqtW9SUhL69euHkJAQrF27FlLpo+e1R0dHw9PTU/d5WFgY9u/fj+nTp+u2RUZGIiwsrMbZiQxJIpFgydPtcDEpF4nZhZjz83msHh/SKOY7EQHA9bQ8LPi1/ArnWeEt0MWv6hxWImNgEnOckpKS0LdvX/j6+mLZsmXIyMjQPVYxWrR+/XrI5XJ06tQJALBt2zasWbMG3333nW7ft956C3369MHnn3+OoUOHYvPmzTh9+rReo1dE9c1eKcNX4zrjqf/8hb2X07D+2C1M7OEvdiyieldYWobXN5xFsVqL3i1c8WrvQLEjET2QSTROkZGRiI2NRWxsLJo1a1bpMUH4eyLt4sWLkZCQAEtLSwQHB2PLli0YNWqU7vHu3btj48aNmD9/PubNm4fmzZtj+/btaNu2bYO9FqKHadfMAfOGtMKi367gX7uvIcTXGe3MfL4T0YIdlxGbng83OwWWP9MBUilHWsl4mcQ6ThMnToQgCNV+VJgwYQKuXLmCgoIC5Obm4sSJE5WapgqjR49GTEwMSkpKcOnSJQwZMqQhXwrRI03s7oeINu4o1WgxdeNZqIp5GTOZr1/O3MHPZ+5AKgG+GNsJLrZV55QSGROTaJyIGhOJRILPnu6AZk5WSMwuxNxfLlb6I4HIXMSm52H+9vJ5TdMHtMBjAU1ETkT0aGyciIyQg7UMX47tBEupBLsupmDDiUSxIxEZVLFag6kbzqFIrUGPoCaY2i9I7EhEemHjRGSkOvk44d3B5WuYfbjzCi4n54qciMhwFv12GTFpeXCxVeDfYzrBgvOayESwcSIyYpN6+mNAKzeUlmkxbeM5ZPN+dmQGtp6+jU0nb0MiAVY+2xGudpzXRKaDjROREZNIJFg2ugOaOlohPrMAL6w5gdwiThYn0/X7xRS888sFAMAbjzdHjyAXkRMR1QwbJyIj52gtx/qXuqGJjRyXklR4ce1JFJSUiR2LqMYOXEvDm5vPQSsAz3Rphun9m4sdiajG2DgRmYAgN1v8d3IoHKxkOJuYg8nrT6NYrRE7FpHe/orNxKv/PQu1RsCIDl5Y8lR7rtdEJomNE5GJaOVpjx9e6gZbhSWi4rLwyo9nUFLG5omM3+lb2Zi8/jRKy7QY2Nodnz/TgZPByWSxcSIyIR28HbH2xa6wklng8PUMvLnpHMo0WrFjET3QhTs5mLj2FIrUGvRu4YpV4zpBZsF/esh08d1LZGK6+jnj2xe6QG4pxd7LaZi19Tw0Wi6QScbnaooKz39/EvklZQj1d8bX40OgsLQQOxZRnbBxIjJBPZu74D/PdYalVIId0cmYt+0itGyeyIjEpufj+e/LrwLt5OOI7yd2hZWcTROZPjZORCaqfyt3rHy2E6QSYMvp2/hw5xXemoWMwu3sQoz/7gQy80vRxsse614sn5tHZA7YOBGZsKHtPbFsdAdIJMC6Y7fw6Z4YNk8kqpTcIoz99jhSVcVo7maLHyeVXw1KZC7YOBGZuKc6N8NHI9sCAFYfvokvD8SKnIgaq4y8Ejz37QncuVsEvybW2DA5FM42crFjERkUGyciM/BcqC/mD20FAFgeeR3f/hknciJqbO4WlGL8dycQl1mApo5W2DDlMbjZK8WORWRwbJyIzMTkXgF4O7wFAODj3Vfx4/EEkRNRY6EqVuOFNScRk5YHNzsFNk4JRVNHK7FjEdULNk5EZmTa483xet9AAMD72y/h5zN3RE5E5q6gpAwvrj2Fi0m5aGIjx8YpofBtYiN2LKJ6w8aJyMzMjmiJF3v4AQDm/HweOy8kixuIzFaxWoMpP5zGmYS7sFda4sdJoQhysxM7FlG9YuNEZGYkEgkWDGuNsd28oRWA6Zuj8ceVNLFjkZkpLdPitf+ewbGbWbCRW2D9S93Q2ste7FhE9Y6NE5EZkkgk+GhkO4zs6IUyrYDXN5zFkRsZYsciM1Gm0eLNTedwMCYDSpkUayZ2RScfJ7FjETUINk5EZspCKsGy0R0wuK0HSjVaTPnhNE7EZYkdi0ycRivg7a3nsedyKuQWUnz7QheEBjQROxZRg2HjRGTGLC2kWPlsJ/Rr6YpitRYvrTuF6Ns5YsciEyUIAuZvv4jt0cmwlErwf891Rq/mrmLHImpQbJyIzJzcUor/jA9B98AmKCjV4IXvT+Bycq7YscjECIKARb9dwaaTtyGVAP9+tiMGtHYXOxZRg2PjRNQIKGUW+PaFLgjxdYKquAzPf38Ssel5YsciE7J0bwzWHbsFAPhsVAcMa+8lbiAikbBxImokbBSWWPtiV7Rr6oDsglKM+/YEbmUWiB2LTMCqAzfwf4duAgAWj2yLUSHNRE5EJB42TkSNiL1Shh9e6oaW7nZIzyvBc9+dQFJOkdixyIh9dyQOy/ZdBwC8N6QVnn/MV+REROJi40TUyDjZyPHfyaEIcLFBUk4Rnvv2ONJUxWLHIiP03+MJ+GjXVQDAjAEtMKV3gMiJiMTHxomoEXK1U2DDlFB4O1vhVlYhRqw6iuNcqoDuKSnT4INfL2P+9ksAgFf7BOLN/kEipyIyDmyciBopTwcrbJz8GILcbJGmKsG4b4/ji/03oNEKYkcjESVkFWDUf6J0E8Gn9gvEO4NaQiKRiBuMyEiwcSJqxLydrfHrtB4YFdIMWgFYHnkdL6w5gfQ8nrprjHZdSMGwL47iYlIunKxlWDOxC2ZHBLNpIroPGyeiRs5abollozvg89EdYCWzwF+xWRiy8ij+is0UOxo1kGK1BvO3X8TUjWeRV1KGrn5O2P1WLzwezHWaiP6JjRMRAQCeDmmG397oiWAPO2Tml2D89yewfF8MT92ZubiMfDz5f8fw3+OJAIDX+wZi05TH4OlgJXIyIuPExomIdILcbLF9ag+M7eYNQQC+OBCLcbzqzmztiE7C8C+P4mqKCk1s5Fj/UjfMGRQMSwv+00D0IPzpIKJKlDILLHmqPVY+2xE2cguciM/G4JVHcCgmXexoZCBFpRq8+8sFvLU5GgWlGjwW4Izdb/VCnxa87xzRo7BxIqJqPdGxKXa+2QutPe2RXVCKiWtP4dM911Cm0YodjeogNj0fI7/6C5tP3YZEArzZvzk2TH4M7vZKsaMRmQQ2TkT0QP4uNtj2enfdatH/OXQTz35zHMlcbdwknUyX4KnVxxGTlgcXWwU2TArFzIEtYCHlVXNE+mLjREQPpZRZYPHItvi/5zrDTmGJ0wl3MeSLI9h/NU3saKSnwtIyzNl2CRtuWqBIrUXPIBf8/lYvdA9yETsakclh40REehnSzhO73uyF9s0ckFOoxqT1p/HxrisoLeOpO2MWk5qH4V8exf/OJUMCAdP7B2H9S93gaqcQOxqRSWLjRER682lija2vhuHFHn4AgG+PxOOZr6NwO7tQ3GBUhSAI2HwyESNWHcXNjAK42ykwrbUGU/sG8NQcUR2wcSKiGlFYWmDh8Db4+vkQ2CstEX07B0O/OIK9l1PFjkb35JeUYfqWaLy77SJKyrTo08IVO6aGIchB7GREpo+NExHVSkQbD+x+qxc6+ThCVVyGV348gw9+vYySMo3Y0Rq1y8m5GPHlUeyIToaFVIJ3BgVj7cSuaGIjFzsakVlg40REtdbMyRo/vRKGl3sHAADWHbuFUf+JQkJWgcjJGh9BEPDj8QQ8+X/HEJdZAE8HJba8/Bhe6xsIKU/NERkMGyciqhOZhRTzhrTCmold4GQtw8WkXAz74ih2XUgRO1qjoSpWY9qmc3h/+yWUlmnRP9gNu9/shS5+zmJHIzI7JtM4jRgxAj4+PlAqlfD09MTzzz+P5OTkSvtcuHABvXr1glKphLe3Nz777LMqx9m6dSuCg4OhVCrRrl077N69u6FeApFZezzYHbvf6oUuvk7IKynD1I1nMXfbRd6upR4JgoDD1zN0jaqlVIL5Q1vhuwld4MRTc0T1wmQap379+uGnn35CTEwMfvnlF9y8eROjRo3SPa5SqRAeHg5fX1+cOXMGS5cuxQcffIBvvvlGt8+xY8cwduxYTJo0CefOncPIkSMxcuRIXLp0SYyXRGR2PB2ssPnlx/B630AAwKaTiej56QHM/CkaV5JVIqczHyVlGvx0+jYG/fsIJqw5icTsQjR1tMLWV8MwuVcAJBKemiOqL5ZiB9DXjBkzdP/v6+uLd999FyNHjoRarYZMJsOGDRtQWlqKNWvWQC6Xo02bNoiOjsby5cvx8ssvAwBWrlyJQYMGYfbs2QCAxYsXIzIyEqtWrcLq1atFeV1E5sbSQoo5g4LRM8gFK/64jlO37mLb2SRsO5uEnkEumNTLH939HMWOaZKyC0qx4XgC1kclIDO/BABgI7fAM129Mb1/CzhYy0ROSGT+TKZxul92djY2bNiA7t27QyYr/0URFRWF3r17Qy7/e3g6IiICn376Ke7evQsnJydERUVh5syZlY4VERGB7du3P/BrlZSUoKSkRPe5SlX+V7NarYZarTbgq4LueIY+Lj0Ya15/uvo6YOOkrjh/Jxdr/0rAnitpOBqbiaOxmQhwsUY3ewl6FxXDVuygJiAuowDrohLwv+hkFKvLFxz1sFfghTAfjAlpBnur8t+DD3sf870uDtZdHNXV3VDfA5NqnN555x2sWrUKhYWFeOyxx7Bz507dY6mpqfD396+0v7u7u+4xJycnpKam6rbdv09q6oPXn1myZAkWLVpUZfu+fftgbW1dl5fzQJGRkfVyXHow1rx+hdsBXToCh1OkiEqXIC6zEHGZFtj52WH09NCip4cAOw6WVCIIQKxKgkMpEly6+/esimY2Avp5atGpSQEsVFdx9ODVGh2X73VxsO7iuL/uhYWGWahX1Mbp3XffxaeffvrQfa5evYrg4GAAwOzZszFp0iQkJCRg0aJFeOGFF7Bz5856PZ8/d+7cSqNUKpUK3t7eCA8Ph729vUG/llqtRmRkJAYOHKgbSaP6xZo3rPEA8orV2HwyEd8ejsXdUgn23LHAgVQpnuzoiYlhvghya9xjUGqNFrsvpWHtsVu4nJwHAJBIgMdbuuLF7r7o5udUq995fK+Lg3UXR3V1rzhjVFeiNk6zZs3CxIkTH7pPQECA7v9dXFzg4uKCFi1aoFWrVvD29sbx48cRFhYGDw8PpKVVvuloxeceHh66/1a3T8Xj1VEoFFAoqt7TSSaT1dsPQX0em6rHmjccZ5kMU3oHwiMvBlKfzlh7LAHn7+Riy+kkbDmdhH4tXTG5VwC6BzZpVJOcc4vU2HQyEev+uoXUe1ciKmVSjApphpd6+CPA1TANJd/r4mDdxXF/3Q1Vf1EbJ1dXV7i6utbquVpt+Xn+ivlHYWFheO+993STxYHyIbqWLVvCyclJt8/+/fsxffp03XEiIyMRFhZWh1dBRLVhIQGGtPPAE52a4XTCXXx3JA77rqThYEwGDsZkoJWnPSb39MfwDl6QW5rMBcA1lphViDV/xeOn07dRWFq+6rqrnQITwnwxLtQXzlxWgMiomMQcpxMnTuDUqVPo2bMnnJyccPPmTbz//vsIDAzUNT3jxo3DokWLMGnSJLzzzju4dOkSVq5ciRUrVuiO89Zbb6FPnz74/PPPMXToUGzevBmnT5+utGQBETUsiUSCrn7O6OrnjISsAqw5Go+fTt/B1RQVZm09j0/3XMOE7n54LtQHjtbm00ScScjGd0fisfdyKrRC+bZgDztM6umPER29oLC0EDcgEVXLJBona2trbNu2DQsXLkRBQQE8PT0xaNAgzJ8/X3cazcHBAfv27cPUqVMREhICFxcXLFiwQLcUAQB0794dGzduxPz58zFv3jw0b94c27dvR9u2bcV6aUR0H98mNlj0RFvMGNgCG08mYv2xW0hTlWDp3hisOhCL0V3KT1v5udiIHbVWyjRa7L2chu+OxuFcYo5ue58Wrpjcyx89g1wa1elJIlNkEo1Tu3btcODAgUfu1759exw5cuSh+4wePRqjR482VDQiqgeO1nK83jcIk3sGYOeFZHx3JB5XUlT4ISoBPx5PwMBW7hjQ2h2Brjbwd7GFk7XMKBsOtUaLO3eLEJ+Zj6spedh0MhF37hYBAOQWUjzZqSkm9fJHC3c7kZMSkb5MonEiosZJbinFU52b4clOTRF1MwvfHY3HgWvp2HclDfuu/H2hh4OVDP4uNghwsYG/iw38Xe/918UG1vL6/TUnCALSVCWIy8xHfGYB4jMKyv+bWYDE7EKUVZyHu8fZRo7xj/ni+cd84WpX9cITIjJubJyIyOhJJBJ0D3JB9yAXxKbnY/PJRFxLzUN8ZgGScoqQW6RG9O0cRN/OqfJcTwelronyd7FBwL1RqmZOVpBZ6D/pPLdIfa8hykd8RgHiMv9ukComdVdHKZPC38UW/i7W6Bnkiqc6N4VSxvlLRKaKjRMRmZQgN1vMH9Za93lRqQYJ2QW6ZiYu415zk1mAu4VqpOQWIyW3GMduZlU6jqVUAh9n63uNlM295sYGjtYyJGQV6pqkuHsjSFkFpQ/MZCGVwNvJ6l5jZvv36JerDdztlJBKje80IhHVDhsnIjJpVnILBHvYI9ij6oK0dwtKEZ/19+mzuHuN0K2sAhSrteWNVmaB3l/LzU6hG7UKuNdo+bvawNvJ2qyXTCCiv7FxIiKz5WQjh5ONHJ19nCpt12oFpKqK7zVTFaNV5aNUOYVq+DaxvjdqZAt/1/LRIz8XG9gq+CuTqLHjbwEianSkUgm8HK3g5WiFHkEuYschIhPCsWUiIiIiPbFxIiIiItITGyciIiIiPbFxIiIiItITGyciIiIiPbFxIiIiItITGyciIiIiPbFxIiIiItITGyciIiIiPbFxIiIiItITGyciIiIiPbFxIiIiItITGyciIiIiPbFxIiIiItKTpdgBTI0gCAAAlUpl8GOr1WoUFhZCpVJBJpMZ/PhUFWsuDta94bHm4mDdxVFd3Sv+3a74d7y22DjVUF5eHgDA29tb5CRERERUU3l5eXBwcKj18yVCXVuvRkar1SI5ORl2dnaQSCQGPbZKpYK3tzdu374Ne3t7gx6bqseai4N1b3isuThYd3FUV3dBEJCXlwcvLy9IpbWfqcQRpxqSSqVo1qxZvX4Ne3t7/oA1MNZcHKx7w2PNxcG6i+Ofda/LSFMFTg4nIiIi0hMbJyIiIiI9sXEyIgqFAgsXLoRCoRA7SqPBmouDdW94rLk4WHdx1GfdOTmciIiISE8ccSIiIiLSExsnIiIiIj2xcSIiIiLSExsnI/HVV1/Bz88PSqUSoaGhOHnypNiRzMoHH3wAiURS6SM4OFj3eHFxMaZOnYomTZrA1tYWTz/9NNLS0kRMbHr+/PNPDB8+HF5eXpBIJNi+fXulxwVBwIIFC+Dp6QkrKysMGDAAN27cqLRPdnY2nnvuOdjb28PR0RGTJk1Cfn5+A74K0/Oouk+cOLHKe3/QoEGV9mHda2bJkiXo2rUr7Ozs4ObmhpEjRyImJqbSPvr8TklMTMTQoUNhbW0NNzc3zJ49G2VlZQ35UkyGPjXv27dvlff6q6++WmkfQ9ScjZMR2LJlC2bOnImFCxfi7Nmz6NChAyIiIpCeni52NLPSpk0bpKSk6D6OHj2qe2zGjBn47bffsHXrVhw+fBjJycl46qmnRExregoKCtChQwd89dVX1T7+2Wef4YsvvsDq1atx4sQJ2NjYICIiAsXFxbp9nnvuOVy+fBmRkZHYuXMn/vzzT7z88ssN9RJM0qPqDgCDBg2q9N7ftGlTpcdZ95o5fPgwpk6diuPHjyMyMhJqtRrh4eEoKCjQ7fOo3ykajQZDhw5FaWkpjh07hvXr12PdunVYsGCBGC/J6OlTcwCYMmVKpff6Z599pnvMYDUXSHTdunUTpk6dqvtco9EIXl5ewpIlS0RMZV4WLlwodOjQodrHcnJyBJlMJmzdulW37erVqwIAISoqqoESmhcAwv/+9z/d51qtVvDw8BCWLl2q25aTkyMoFAph06ZNgiAIwpUrVwQAwqlTp3T7/P7774JEIhGSkpIaLLsp+2fdBUEQJkyYIDzxxBMPfA7rXnfp6ekCAOHw4cOCIOj3O2X37t2CVCoVUlNTdfv85z//Eezt7YWSkpKGfQEm6J81FwRB6NOnj/DWW2898DmGqjlHnERWWlqKM2fOYMCAAbptUqkUAwYMQFRUlIjJzM+NGzfg5eWFgIAAPPfcc0hMTAQAnDlzBmq1utL3IDg4GD4+PvweGEh8fDxSU1Mr1djBwQGhoaG6GkdFRcHR0RFdunTR7TNgwABIpVKcOHGiwTObk0OHDsHNzQ0tW7bEa6+9hqysLN1jrHvd5ebmAgCcnZ0B6Pc7JSoqCu3atYO7u7tun4iICKhUKly+fLkB05umf9a8woYNG+Di4oK2bdti7ty5KCws1D1mqJrzXnUiy8zMhEajqfSNBAB3d3dcu3ZNpFTmJzQ0FOvWrUPLli2RkpKCRYsWoVevXrh06RJSU1Mhl8vh6OhY6Tnu7u5ITU0VJ7CZqahjde/zisdSU1Ph5uZW6XFLS0s4Ozvz+1AHgwYNwlNPPQV/f3/cvHkT8+bNw+DBgxEVFQULCwvWvY60Wi2mT5+OHj16oG3btgCg1++U1NTUan8eKh6jB6uu5gAwbtw4+Pr6wsvLCxcuXMA777yDmJgYbNu2DYDhas7GiRqFwYMH6/6/ffv2CA0Nha+vL3766SdYWVmJmIyofj377LO6/2/Xrh3at2+PwMBAHDp0CP379xcxmXmYOnUqLl26VGnOJNWvB9X8/nl57dq1g6enJ/r374+bN28iMDDQYF+fp+pE5uLiAgsLiypXW6SlpcHDw0OkVObP0dERLVq0QGxsLDw8PFBaWoqcnJxK+/B7YDgVdXzY+9zDw6PKBRFlZWXIzs7m98GAAgIC4OLigtjYWACse11MmzYNO3fuxMGDB9GsWTPddn1+p3h4eFT781DxGFXvQTWvTmhoKABUeq8bouZsnEQml8sREhKC/fv367ZptVrs378fYWFhIiYzb/n5+bh58yY8PT0REhICmUxW6XsQExODxMREfg8MxN/fHx4eHpVqrFKpcOLECV2Nw8LCkJOTgzNnzuj2OXDgALRare4XINXdnTt3kJWVBU9PTwCse20IgoBp06bhf//7Hw4cOAB/f/9Kj+vzOyUsLAwXL16s1LRGRkbC3t4erVu3bpgXYkIeVfPqREdHA0Cl97pBal6LyexkYJs3bxYUCoWwbt064cqVK8LLL78sODo6Vpr5T3Uza9Ys4dChQ0J8fLzw119/CQMGDBBcXFyE9PR0QRAE4dVXXxV8fHyEAwcOCKdPnxbCwsKEsLAwkVOblry8POHcuXPCuXPnBADC8uXLhXPnzgkJCQmCIAjCJ598Ijg6Ogo7duwQLly4IDzxxBOCv7+/UFRUpDvGoEGDhE6dOgknTpwQjh49KjRv3lwYO3asWC/JJDys7nl5ecLbb78tREVFCfHx8cIff/whdO7cWWjevLlQXFysOwbrXjOvvfaa4ODgIBw6dEhISUnRfRQWFur2edTvlLKyMqFt27ZCeHi4EB0dLezZs0dwdXUV5s6dK8ZLMnqPqnlsbKzw4YcfCqdPnxbi4+OFHTt2CAEBAULv3r11xzBUzdk4GYkvv/xS8PHxEeRyudCtWzfh+PHjYkcyK2PGjBE8PT0FuVwuNG3aVBgzZowQGxure7yoqEh4/fXXBScnJ8Ha2lp48sknhZSUFBETm56DBw8KAKp8TJgwQRCE8iUJ3n//fcHd3V1QKBRC//79hZiYmErHyMrKEsaOHSvY2toK9vb2wosvvijk5eWJ8GpMx8PqXlhYKISHhwuurq6CTCYTfH19hSlTplT5o4x1r5nq6g1AWLt2rW4ffX6n3Lp1Sxg8eLBgZWUluLi4CLNmzRLUanUDvxrT8KiaJyYmCr179xacnZ0FhUIhBAUFCbNnzxZyc3MrHccQNZfcC0REREREj8A5TkRERER6YuNEREREpCc2TkRERER6YuNEREREpCc2TkRERER6YuNEREREpCc2TkRERER6YuNEREREpCc2TkRENSSRSLB9+3axYxCRCNg4EZFRmzhxIkaOHCnK1/7ggw/QsWPHKttTUlIwePDghg9ERKKzFDsAEZGp8fDwEDsCEYmEI05EZLIOHz6Mbt26QaFQwNPTE++++y7Kysp0j2u1Wnz22WcICgqCQqGAj48PPv74Y93j77zzDlq0aAFra2sEBATg/fffh1qtBgCsW7cOixYtwvnz5yGRSCCRSLBu3ToAVU/VXbx4EY8//jisrKzQpEkTvPzyy8jPz9c9XjFqtmzZMnh6eqJJkyaYOnWq7msRkengiBMRmaSkpCQMGTIEEydOxA8//IBr165hypQpUCqV+OCDDwAAc+fOxbfffosVK1agZ8+eSElJwbVr13THsLOzw7p16+Dl5YWLFy9iypQpsLOzw5w5czBmzBhcunQJe/bswR9//AEAcHBwqJKjoKAAERERCAsLw6lTp5Ceno7Jkydj2rRpukYLAA4ePAhPT08cPHgQsbGxGDNmDDp27IgpU6bUa52IyMAEIiIjNmHCBOGJJ56osn3evHlCy5YtBa1Wq9v21VdfCba2toJGoxFUKpWgUCiEb7/9Vu+vtXTpUiEkJET3+cKFC4UOHTpU2Q+A8L///U8QBEH45ptvBCcnJyE/P1/3+K5duwSpVCqkpqbqXoOvr69QVlam22f06NHCmDFj9M5GRMaBI05EZJKuXr2KsLAwSCQS3bYePXogPz8fd+7cQWpqKkpKStC/f/8HHmPLli344osvcPPmTeTn56OsrAz29vY1ztGhQwfY2NhUyqHVahETEwN3d3cAQJs2bWBhYaHbx9PTExcvXqzR1yIi8XGOExGZJSsrq4c+HhUVheeeew5DhgzBzp07ce7cObz33nsoLS2tlzwymazS5xKJBFqttl6+FhHVHzZORGSSWrVqhaioKAiCoNv2119/wc7ODs2aNUPz5s1hZWWF/fv3V/v8Y8eOwdfXF++99x66dOmC5s2bIyEhodI+crkcGo3mkTnOnz+PgoKCSjmkUilatmxZh1dIRMaIjRMRGb3c3FxER0dX+nj55Zdx+/ZtvPHGG7h27Rp27NiBhQsXYubMmZBKpVAqlXjnnXcwZ84c/PDDD7h58yaOHz+O77//HgDQvHlzJCYmYvPmzbh58ya++OIL/O9//6v0df38/BAfH4/o6GhkZmaipKSkSrbnnnsOSqUSEyZMwKVLl3Dw4EG88cYbeP7553Wn6YjIfHCOExEZvUOHDqFTp06Vtk2aNAm7d+/G7Nmz0aFDBzg7O2PSpEmYP3++bp/3338flpaWWLBgAZKTk+Hp6YlXX30VADBixAjMmDED06ZNQ0lJCYYOHYr3339fd0UeADz99NPYtm0b+vXrh5ycHKxduxYTJ06slMPa2hp79+7FW2+9ha5du8La2hpPP/00li9fXm/1ICLxSIT7x7mJiIiI6IF4qo6IiIhIT2yciIiIiPTExomIiIhIT2yciIiIiPTExomIiIhIT2yciIiIiPTExomIiIhIT2yciIiIiPTExomIiIhIT2yciIiIiPTExomIiIhIT2yciIiIiPT0/3oftgBe8YtNAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Left Support Reaction: {'Combo 1': 5.1393249999999995} kip\n",
      "Right Support Reacton: {'Combo 1': 5.139325} kip\n"
     ]
    }
   ],
   "source": [
    "from PyNite import FEModel3D\n",
    "\n",
    "# Create a new finite element model\n",
    "SimpleBeam = FEModel3D()\n",
    "\n",
    "# Add nodes (14 ft = 168 in apart)\n",
    "SimpleBeam.add_node('N1', 0, 0, 0)\n",
    "SimpleBeam.add_node('N2', 241, 0, 0)\n",
    "\n",
    "# Add a beam with the following properties:\n",
    "# E = 29000 ksi, G = 11400 ksi, Iy = 100 in^4, Iz = 150 in^4, J = 250 in^4, A = 20 in^2\n",
    "SimpleBeam.add_member('M1', 'N1', 'N2', 29000, 11400, 100, 150, 250, 20)\n",
    "\n",
    "# Provide simple supports\n",
    "SimpleBeam.def_support('N1', 1, 1, 1, 0, 0, 0)\n",
    "SimpleBeam.def_support('N2', 1, 1, 1, 1, 0, 0)\n",
    "\n",
    "# Add a uniform load of 200 lbs/ft to the beam\n",
    "# for udl in udls:\n",
    "#     left, right = udl\n",
    "#     SimpleBeam.add_member_dist_load('M1', 'Fy', -left[1]/1000, -right[1]/1000, left[0], right[0])\n",
    "\n",
    "# Alternatively the following line would do apply the load to the full length of the member as well\n",
    "SimpleBeam.add_member_dist_load('M1', 'Fy', -42.65/1000, -42.65/1000)\n",
    "\n",
    "# Analyze the beam\n",
    "SimpleBeam.analyze()\n",
    "\n",
    "# Print the shear, moment, and deflection diagrams\n",
    "SimpleBeam.Members['M1'].plot_shear('Fy')\n",
    "SimpleBeam.Members['M1'].plot_moment('Mz')\n",
    "\n",
    "# Print reactions at each end of the beam\n",
    "print('Left Support Reaction:', SimpleBeam.Nodes['N1'].RxnFY, 'kip')\n",
    "print('Right Support Reacton:', SimpleBeam.Nodes['N2'].RxnFY, 'kip')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "fcf20fcb-4c3a-42f3-923c-1e2469c9dc08",
   "metadata": {},
   "outputs": [],
   "source": [
    "from PyNite import Visualization\n",
    "Visualization.render_model(SimpleBeam, annotation_size=5, deformed_shape=False, deformed_scale=100, render_loads=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "id": "e82bfce3-20ae-4738-8010-181f9b7cc476",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-309.64433124999994"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "SimpleBeam.Members['M1'].min_moment(\"Mz\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "edea13c5-2e2d-4811-a4eb-a08bb6c92108",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-251.68948165860172"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "-251.68948165860172"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "id": "7e1fa332-898b-47f4-bd90-6fdfe0136905",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.230035756853397"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "-309.6/-251.7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "44e6646e-f800-4037-855f-3ec397efec42",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "videos",
   "language": "python",
   "name": "videos"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.8"
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 },
 "nbformat": 4,
 "nbformat_minor": 5
}