Some plots of Landsat thermal imagery over the Nenana coalfields, using pygaarst

Healy Thermal Scrapbook 1

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      "%pylab inline\n",
      "import os, os.path\n",
      "import numpy as np\n",
      "import matplotlib.pyplot as plt\n",
      "import datetime\n",
      "from pygaarst import landsatutils as l\n",
      "from pygaarst import raster"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Populating the interactive namespace from numpy and matplotlib\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "WARNING: pylab import has clobbered these variables: ['axes']\n",
        "`%pylab --no-import-all` prevents importing * from pylab and numpy\n"
       ]
      }
     ],
     "prompt_number": 20
    },
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      "import pprint\n",
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     "input": [
      "basedir = \"/Volumes/SCIENCE/Fire/DATA_BY_AREA/HEALY_FIRES/Landsat/\"\n",
      "\n",
      "l8dirs = [\n",
      "    \"2013-05-24/LC80700152013144LGN00\",\n",
      "    \"2013-06-02/LC80690152013153LGN00\",\n",
      "    \"2013-06-09/LC80700152013160LGN00\",\n",
      "    \"2013-06-18/LC80690152013169LGN00\",\n",
      "    \"2013-06-25/LC80700152013176LGN00\",\n",
      "    \"2013-07-04/LC80690152013185LGN00\",\n",
      "    \"2013-08-06/LC81492292013218LGN00\",\n",
      "    \"2013-08-12/LC80700152013224LGN00\",\n",
      "    \"2013-08-21/LC80690152013233LGN00\",\n",
      "    \"2013-10-24/LC80690152013297LGN00\",\n",
      "    \"2013-10-31/LC80700152013304LGN00\"\n",
      "    ]\n",
      "\n",
      "\n",
      "bins = np.linspace(230, 320, 200)\n",
      "for dir in l8dirs:\n",
      "    datapath = os.path.join(basedir, dir)\n",
      "    scene = raster.Landsatscene(datapath)\n",
      "    scene.infix = '_CLIP'\n",
      "    scdate =  datetime.datetime.strftime(scene.meta['PRODUCT_METADATA'][l.lskeyselect(scene.newmetaformat, 'DATE_ACQUIRED')], '%Y-%m-%d')\n",
      "    a = scene.band10\n",
      "    fig = plt.figure(figsize=(10, 6))\n",
      "    axes = fig.add_axes([0.1, 0.1, 0.8, 0.8])\n",
      "    axes.set_xlim(230, 331)\n",
      "    axes.set_xlabel('T_B in K')\n",
      "    axes.set_ylabel('count')\n",
      "    axes.set_title(\"%s on %s, B10\" % (scene.meta['METADATA_FILE_INFO']['LANDSAT_SCENE_ID'], scdate));\n",
      "    freq, bins, patches = plt.hist(a.tKelvin.flatten(), bins=bins)\n",
      "    b = scene.band11\n",
      "    fig = plt.figure(figsize=(10, 6))\n",
      "    axes = fig.add_axes([0.1, 0.1, 0.8, 0.8])\n",
      "    axes.set_xlim(230, 331)\n",
      "    axes.set_xlabel('T_B in K')\n",
      "    axes.set_ylabel('count')\n",
      "    axes.set_title(\"%s on %s, B11\" % (scene.meta['METADATA_FILE_INFO']['LANDSAT_SCENE_ID'], scdate));\n",
      "    freq, bins, patches = plt.hist(b.tKelvin.flatten(), bins=bins)"
     ],
     "language": "python",
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     "outputs": [
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        "INFO:root:Loading Landsat scene /Volumes/SCIENCE/Fire/DATA_BY_AREA/HEALY_FIRES/Landsat/2013-05-24/LC80700152013144LGN00\n"
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QdHS0hg0bpoKCApWXl8vlcikxMVGSNGvWLGufpsdKS0vT5s2bvXFqAODjmKcY\nsDuvhME9e/Zo0KBBmjNnjn7wgx/oF7/4hY4fP66KigqFh4dLksLDw1VRUSFJKisrk9PptPZ3Op0q\nLS1ttTwyMlKlpaWSpNLSUkVFRUk6EzYrKyu9cXoA4MPc8xQbuVxV3V0YAN3A3xtPUl9fr48++khP\nPvmkxowZo4ULF1qXhN3c/5l6w9KlS63HycnJSk5O9srzAgAAeEN+fr7y8/M7tK1XwqDT6ZTT6dSY\nMWMkSdOmTdPy5csVERGhAwcOKCIiQuXl5Ro8eLCkxha/4uJia/+SkhI5nU5FRkaqpKSk1XL3Pvv3\n79fQoUNVX1+v6upqhYZ6vuTRNAwCAAD0Ni0bu5YtW9bmtl65TBwREaGoqCjt2rVLkrRp0yaNGDFC\nkydPVm5uriQpNzdXU6dOlSRNmTJFq1evVl1dnfbs2aOioiIlJiYqIiJCwcHBKigokDFGq1at0o03\n3mjt4z7Wa6+9ppSUFG+cGgAAgE9zGHc33S728ccf6+c//7nq6up08cUX6/nnn1dDQ4PS09O1f/9+\nRUdHa82aNerfv78k6ZFHHtFzzz0nf39/rVixQhMnTpTUOLTM7NmzVVNTo0mTJumJJ56Q1Di0zMyZ\nM7V9+3aFhYVp9erVio6Obn3CDoe8dMoAvKDx9hL377T7cUeXfZN9Ous43fncbR+Hz0egd2ov/3gt\nDPYUhEGgdyEMdu5x+HwEeqf28g8zkADwScHBoV7rdAYAvRlhEIBPahwGhVYsAPi2CIMAAAA2RhgE\nAACwMcIgAOBr/kxLB9iQVwadBgD4gsap6VwuOuYAdkLLIAAAgI0RBgEAAGyMMAgAAGBjhEEAAAAb\nIwwCAADYGGEQAADAxgiDAAAANkYYBAAAsDHCIAAAgI0RBgEAAGyMMAgAAGBj7YbBlJSUDi0DAACA\nb/L3tLCmpkYnTpzQwYMHVVlZaS0/evSoSktLvVY4AAAAdC2PYfDpp5/WihUrVFZWpssuu8xaHhQU\npLvuustrhQMAAEDXchhjTFsrn3jiCc2fP9+b5elyDodD7ZwyAB/hcDgkGUnu72ryuKPLvsk+nXWc\n7nzusx+Hz0mgd2kv/7QbBiXpH//4h/bu3av6+npr2axZszq3hF5EGAR6B8JgVx4nQFLjZ35Q0AAd\nPXrmdiEAvqm9/OPxMrHbLbfcoi+//FKjR4/WeeedZy335TAIADiberkDosvl6N6iAOhy7YbBbdu2\nqbCw8Ot9d+aEAAAXHUlEQVT/wAEAANDbtDu0zCWXXKLy8nJvlQUAAABe1m7L4MGDBxUfH6/ExERd\ncMEFkhqvOa9fv94rhQMAAEDXajcMLl261EvFAAAAQHc4a2/i3obexEDvQG9i7x2Hz0zA933j3sSB\ngYFW55G6ujqdOnVKgYGBOnr0aOeXEgAAAF7Xbhg8duyY9fj06dNav369Pvjggy4vFAAAALzjnC8T\njx49Wjt27Oiq8nQ5LhMDvQOXiblMDKDjvvFl4tdff916fPr0aW3btk19+vTp3NIBAACg27QbBv/y\nl79Y9wz6+/srOjpa69at80rBAAAA0PXoTQzAJ3GZmMvEADquvfzT7gwkxcXFuummmzRo0CANGjRI\naWlpKikp6ZJCAgAAwPvaDYNz5szRlClTVFZWprKyMk2ePFlz5szxVtkAAADQxdq9TDxq1Ch9/PHH\nZ13mS7hMDPiu4OBQuVxVTZb0/EusPfO5uUwM2M03vkwcFhamVatWqaGhQfX19XrxxRc1cODALikk\nAJxNYxA0OhNUAADfVrth8Pnnn9eaNWsUERGhIUOG6M9//rOef/55b5UNANDt/OVwOBQcHNrdBQHQ\nRdodWubBBx/UCy+8oAEDBkiSKisr9atf/UrPPfecVwoHAOhu9ZKMXC5HdxcEQBdpt2Xw448/toKg\nJIWGhuqjjz7q8kIBAADAO9oNg8YYVVZWWj9XVlaqoaGhywsFAAAA72j3MvE999yjcePGKT09XcYY\n/fnPf9b/+3//z1tlAwAAQBc76wwkO3fu1JYtW+RwOHTttdcqPj7eW2XrEgwtA/iuM7OOSL4yLEvP\nfO5vdhw+OwHf1V7+YTo6AD6DMEgYBPDNfONxBgEAANC7EQYBAABsjDAIAABgY4RBAAAAGyMMAgAA\n2BhhEAAAwMYIgwAAADZGGAQAALAxwiAAAICNEQYBAABsjDAIAOgAfzkcDjkcDgUHh3Z3YQB0Iv/u\nLgAAwBfUyz1fscvl6N6iAOhUtAwCAADYGGEQAADAxgiDAAAANubVMNjQ0KCEhARNnjxZklRZWanU\n1FTFxsZqwoQJOnLkiLXt8uXLFRMTo7i4OG3cuNFavm3bNo0cOVIxMTFasGCBtby2tlbTp09XTEyM\nkpKStG/fPu+dGAAAgI/yahhcsWKF4uPj5XA03nycnZ2t1NRU7dq1SykpKcrOzpYkFRYW6tVXX1Vh\nYaHy8vJ0xx13yJjGG5dvv/125eTkqKioSEVFRcrLy5Mk5eTkKCwsTEVFRVq0aJGysrK8eWoAAAA+\nyWthsKSkRG+88YZ+/vOfW8Fu/fr1yszMlCRlZmZq7dq1kqR169YpIyNDAQEBio6O1rBhw1RQUKDy\n8nK5XC4lJiZKkmbNmmXt0/RYaWlp2rx5s7dODQAAwGd5LQwuWrRIv/3tb+Xnd+YpKyoqFB4eLkkK\nDw9XRUWFJKmsrExOp9Pazul0qrS0tNXyyMhIlZaWSpJKS0sVFRUlSfL391dISIgqKyu7/LwAdK3g\n4FBrfDsAQOfzyjiDf/3rXzV48GAlJCQoPz/f4zbe/LBfunSp9Tg5OVnJycleeV4A587lqpJ7fDuJ\nQAgAHZGfn99m5mrJK2HwH//4h9avX6833nhDJ0+e1NGjRzVz5kyFh4frwIEDioiIUHl5uQYPHiyp\nscWvuLjY2r+kpEROp1ORkZEqKSlptdy9z/79+zV06FDV19erurpaoaGeR8lvGgYBAAB6m5aNXcuW\nLWtzW69cJn7kkUdUXFysPXv2aPXq1br22mu1atUqTZkyRbm5uZKk3NxcTZ06VZI0ZcoUrV69WnV1\nddqzZ4+KioqUmJioiIgIBQcHq6CgQMYYrVq1SjfeeKO1j/tYr732mlJSUrxxagAAAD6tW6ajc18O\nXrJkidLT05WTk6Po6GitWbNGkhQfH6/09HTFx8fL399fK1eutPZZuXKlZs+erZqaGk2aNEnXX3+9\nJGnevHmaOXOmYmJiFBYWptWrV3fHqQEAAPgUh3F37bUJh8Mhm50y4NMa/xFses9gy8ffZll3Hse3\nz4HPUcC3tJd/mIEEAADAxgiDAAAANkYYBAAAsDHCIAAAgI0RBgEA58jfmiggONjzeK4AfEe3DC0D\nAPBl9XL3LHa5mBUG8HW0DAIAANgYYRBAjxQcHOq1+coBwM4IgwB6JJerSmcGOQYAdBXCIAAAgI0R\nBgEAAGyMMAgAAGBjhEEAAAAbIwwCAADYGGEQAADAxgiDAAAANkYYBAAAsDHCIAAAgI0RBgEAAGyM\nMAigx3DPR8ycxADgPYRBAD3GmfmImZPYd/jL4XAoODi0uwsC4Bvy7+4CAAB8Wb0kI5eL1lzAV9Ey\nCAAAYGOEQQAAABsjDAIAANgYYRAAAMDGCIMAAAA2RhgEAACwMcIgAACAjREGAQAAbIwwCKDbuaeh\nAwB4H2EQQLc7Mw0dAMDbCIMAvjV3yx5z1AKA72FuYgDfWtOWPeaoBQDfQssgAKAT+NM6DPgoWgYB\nAJ2gXrQOA76JlkEAAAAbIwwCAADYGGEQQCfz79B9Y017IAMAug/3DALoZI33jp3tvrHmYwsSCAGg\nu9AyCAAAYGOEQQAAABsjDAIAANgYYRAAAMDGCIMAgE7WsR7lAHoGehMDADpZx3qUA+gZaBkE8I25\nxwo81+0ZWxAAeg7CIIBvrPlYgeeyfcf3AQB0LcIgAACAjREGAXQRf+uSMB0JAKDnogMJgC7S2IlA\nEh0JAKAHo2UQgBf402kEAHoowiAALzjTSggA6FkIgwAAADZGGAQAALAxwiAAAICNEQYBAABsjDAI\n4JwwpRwA9C6EQQDnhCnl0HEMPA74AgadBgB0EQYeB3yBV1oGi4uLNX78eI0YMUKXXHKJnnjiCUlS\nZWWlUlNTFRsbqwkTJujIkSPWPsuXL1dMTIzi4uK0ceNGa/m2bds0cuRIxcTEaMGCBdby2tpaTZ8+\nXTExMUpKStK+ffu8cWoAAAA+zSthMCAgQI8//rh27typDz74QH/84x/16aefKjs7W6mpqdq1a5dS\nUlKUnZ0tSSosLNSrr76qwsJC5eXl6Y477pAxjf9d3n777crJyVFRUZGKioqUl5cnScrJyVFYWJiK\nioq0aNEiZWVleePUAAAAfJpXwmBERIRGjx4tSQoMDNTw4cNVWlqq9evXKzMzU5KUmZmptWvXSpLW\nrVunjIwMBQQEKDo6WsOGDVNBQYHKy8vlcrmUmJgoSZo1a5a1T9NjpaWlafPmzd44NQAAAJ/m9Q4k\ne/fu1fbt2zV27FhVVFQoPDxckhQeHq6KigpJUllZmZxOp7WP0+lUaWlpq+WRkZEqLS2VJJWWlioq\nKkqS5O/vr5CQEFVWVnrrtAAAAHySVzuQHDt2TGlpaVqxYoWCgoKarfPmUBVLly61HicnJys5Odkr\nzwsAAOAN+fn5ys/P79C2XguDp06dUlpammbOnKmpU6dKamwNPHDggCIiIlReXq7BgwdLamzxKy4u\ntvYtKSmR0+lUZGSkSkpKWi1377N//34NHTpU9fX1qq6uVmio56EMmoZBAACA3qZlY9eyZcva3NYr\nl4mNMZo3b57i4+O1cOFCa/mUKVOUm5srScrNzbVC4pQpU7R69WrV1dVpz549KioqUmJioiIiIhQc\nHKyCggIZY7Rq1SrdeOONrY712muvKSUlxRunBgAA4NMcxt1Ntwu9++67uuaaa3TppZdal4KXL1+u\nxMREpaena//+/YqOjtaaNWvUv39/SdIjjzyi5557Tv7+/lqxYoUmTpwoqXFomdmzZ6umpkaTJk2y\nhqmpra3VzJkztX37doWFhWn16tWKjo5ufcIOh7xwykCv1fg77P4dcj/+Nsu8tU9PO47dziFAUr2C\nggbo6FHu5wa8rb3845Uw2JMQBoFvhzDIOXzb5+YzGPC+9vIP09EBAADYGGEQAADAxgiDAAAANkYY\nBAB4kb81rmxwsOfhvwB4l1cHnQYA2F293J1KXC7vTDQAoH20DAIAANgYYRAAAMDGCIMAgG7C/YNA\nT8A9gwCAbsL9g0BPQMsgAACAjREGAQAAbIwwCAAAYGOEQQAAABsjDAIAANgYYRAA0AP4M8QM0E0Y\nWgYA0AM0DjPDEDOA99EyCAAAYGOEQQAAABsjDAIAANgYYRAAAMDGCIMAAAA2RhgEAPQgjUPMMMwM\n4D0MLQMA6EEah5iRxDAzgJfQMggA6KEYiBrwBloGAQA9FANRA95AyyAAAICNEQYBAABsjDAIAOjh\n6GEMdCXuGQQA9HD0MAa6Ei2DAM4qODjUapkBAPQuhEEAZ+VyVamxZcZ0d1EAAJ2MMAgAAGBjhEEA\nAAAbIwwCAHwIs5IAnY3exAAAH8KsJEBno2UQAADAxgiDAAAANkYYBAAAsDHCIAAAgI0RBgEAPoj5\nioHOQm9iAIAPYr5ioLPQMggAAGBjhEEAAAAbIwwCAADYGGEQAADAxgiDAAAANkYYBAAAsDHCIAAA\ngI0RBgEAPo4BqIFvg0GnAQA+jgGogW+DlkEAAAAbIwwCAHoRfy4XA+eIy8QAgF6k8ZIxl4uBjqNl\nEECbgoND5XDwRxUAejPCIIA2uVxVct+YD/gWehgDHUUYBAD0Qu4exkYul4tQCLSDewYBAL0c9xEC\n7aFlEABgE1w6BjwhDAJoxt1phI4j6H1aXzomGAJcJgbwteDg0K87jEhnOo0QCNFbMWsJ4NbrWgbz\n8vIUFxenmJgYPfroo91dnG6Rn5/f3UVAJ/B2PdJzuKvkd3cBcFZnH6iaz9XegXr0rFeFwYaGBt11\n113Ky8tTYWGhXnnlFX366afdXSyv483uG9yXY9v6A3Su9dj08q7DcX6L7209Pp9Lwl0uv7sLgLNy\ndzBp+9Ixn6u9A/XoWa8Kg1u3btWwYcMUHR2tgIAAzZgxQ+vWrevuYsHmPIc0h9US1/QPUNOQtmzZ\nsnMKdmda9oykUy2+t/W46TLA7hiOBvbUq8JgaWmpoqKirJ+dTqdKS0u7sUSwizOBr6MhrWn4qvew\n/pSkhzwsay/YAeg8zVsLG/85O/cWd/fjpqHybFcFAG/rVR1IOnqpyw6XxJYtW9bdRbCpU208dpzl\nsadly77+Ott2Z1vfWfv0tON053Ofy3Fa1qE3n5t66Jx93E61+N7W49bLXK6qVn97PC1D1+PvY2u9\nKgxGRkaquLjY+rm4uFhOp7PZNsbQggIAAODWqy4TX3755SoqKtLevXtVV1enV199VVOmTOnuYgEA\nAPRYvapl0N/fX08++aQmTpyohoYGzZs3T8OHD+/uYgEAAPRYvaplUJJuuOEGff755/riiy907733\ndndxOl1xcbHGjx+vESNG6JJLLtETTzzRbP3vfvc7+fn5qbKy0lq2fPlyxcTEKC4uThs3bvR2keFB\ne/X4hz/8QcOHD9cll1yirKwsazn12PO0VY9bt25VYmKiEhISNGbMGP3zn/+09qEee56TJ09q7Nix\nGj16tOLj462/HZWVlUpNTVVsbKwmTJigI0eOWPtQjz1PW/W4ePFiDR8+XKNGjdLNN9+s6upqax/q\n8WsGPqW8vNxs377dGGOMy+UysbGxprCw0BhjzP79+83EiRNNdHS0OXz4sDHGmJ07d5pRo0aZuro6\ns2fPHnPxxRebhoaGbis/GrVVj1u2bDHXXXedqaurM8YY89VXXxljqMeeqq16/OEPf2jy8vKMMca8\n8cYbJjk52RhDPfZkx48fN8YYc+rUKTN27FjzzjvvmMWLF5tHH33UGGNMdna2ycrKMsZQjz2Zp3rc\nuHGjVT9ZWVnUowe9rmWwt4uIiNDo0aMlSYGBgRo+fLjKysokSXfffbcee+yxZtuvW7dOGRkZCggI\nUHR0tIYNG6atW7d6vdxozlM9lpaW6qmnntK9996rgIAASdKgQYMkUY89VVv1OGTIEKv14ciRI4qM\njJREPfZkffv2lSTV1dWpoaFBAwYM0Pr165WZmSlJyszM1Nq1ayVRjz1Zy3oMDQ1Vamqq/Pwa487Y\nsWNVUlIiiXpsijDow/bu3avt27dr7NixWrdunZxOpy699NJm25SVlTXrUc3Yiz1P03rctWuX/v73\nvyspKUnJycn68MMPJVGPvsBdj0lJScrOztY999yjCy+8UIsXL9by5cslUY892enTpzV69GiFh4db\nl/4rKioUHh4uSQoPD1dFRYUk6rEna1mP8fHxzdY/99xzmjRpkiTqsSnCoI86duyYpk2bphUrVsjP\nz0+PPPJIs7GTTDtD6DCuVc/RtB6DgoJUX1+vqqoqffDBB/rtb3+r9PT0NvelHnuOpvUYGBioefPm\n6YknntD+/fv1+OOPa+7cuW3uSz32DH5+ftqxY4dKSkr097//XW+99Vaz9WebtpF67Bla1mPT6ece\nfvhhnX/++frpT3/a5v52rUfCoA86deqU0tLSdMstt2jq1KnavXu39u7dq1GjRum73/2uSkpKdNll\nl6mioqLV2IslJSXWJSt0r5b1KDX+Z3rzzTdLksaMGSM/Pz8dOnSIeuzBPNXj1q1bddNNN0mSpk2b\nZl16oh57vpCQEP3oRz/Stm3bFB4ergMHDkiSysvLNXjwYEnUoy9w16P76sqf/vQnvfHGG3rppZes\nbajHJrr7pkWcm9OnT5uZM2eahQsXtrmNpw4ktbW15ssvvzTf+973zOnTp71VXLShrXp86qmnzIMP\nPmiMMebzzz83UVFRxhjqsadqqx4TEhJMfn6+McaYTZs2mcsvv9wYQz32VAcPHjRVVVXGGGNOnDhh\nrr76arNp0yazePFik52dbYwxZvny5a06HlCPPUtb9fjmm2+a+Ph4c/DgwWbbU49n9KpxBu3gvffe\n04svvqhLL71UCQkJkqRHHnlEN9xwg7VN02bu+Ph4paenKz4+Xv7+/lq5cqVtm8F7Ek/1uHz5cs2d\nO1dz587VyJEjdf755+uFF16QRD32VG39Pj7zzDO68847VVtbqz59+uiZZ56RRD32VOXl5crMzNTp\n06d1+vRpzZw5UykpKUpISFB6erpycnIUHR2tNWvWSKIee6q26jEmJkZ1dXVKTU2VJI0bN04rV66k\nHptwGMP8bAAAAHbFPYMAAAA2RhgEAACwMcIgAACAjREGAQAAbIwwCAAAYGOEQQDw4PDhw0pISFBC\nQoKGDBkip9OphIQE/eAHP9CpU6dabX/eeecpISFBo0eP1mWXXab333/f43GvvPLKcyrH7Nmz9frr\nr0uSKisrlZCQoNzc3HM/IQBoA+MMAoAHYWFh2r59uyRp2bJlCgoK0t13393m9n379rW237hxo+69\n995mU2G5vffee+dUDvc0aNXV1Zo4caJuu+02ZWZmntMxAKA9tAwCQAecy5Cs1dXVCg0N9bguMDBQ\nkpSfn6/k5GT95Cc/0fDhw3XLLbe0eTyXy6VJkybplltu0X/8x3+cW8EB4CxoGQSATlBTU6OEhASd\nPHlS5eXl2rJli8ftms5wsGPHDhUWFmrIkCG68sor9d5777W6jGyM0d13361f/OIXWrBgQZeeAwB7\nomUQADpBnz59tH37dn366afKy8vTrFmzzrpPYmKihg4dKofDodGjR2vv3r2ttnE4HLr22mu1du1a\nHTx4sAtKDsDuCIMA0MmSkpJ06NAhHTp0qN3tLrjgAuvxeeedp/r6eo/bzZgxQ7fddpsmTZqkY8eO\ndWpZAYAwCACd7LPPPlNDQ4PCwsI67ZgLFy5USkqKbr75Zo+9mQHgmyIMAkAHNL3XzxP3PYMJCQma\nMWOGXnjhBY/7NF3Wcn1bz+Fenp2dLafTqVmzZp1ThxYAaI/D8IkCAABgW7QMAgAA2BhDywBABx0+\nfFjXXXddq+WbN29uc1xBAOjpuEwMAABgY1wmBgAAsDHCIAAAgI0RBgEAAGyMMAgAAGBjhEEAAAAb\n+/8hdU5+VFU1MAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1081a2610>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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GW8LgwIED9emnn6q8vFzGGG3YsEHh4eEaN26c0tPTJUnp6emaOHGiJGn8+PHK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\ngwAAADZGGAQAALAxwiAAAICN/X+xia1XsiaoSgAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1081bf2d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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V/nmYrUMfAAQHj2QDEDpOHtRavnx5p8f22OXdJ5980rq0K0lZWVkqLCyUJBUW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\nAGCBP14xk0h9OO/wAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108f47490>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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CBYqKilJMTIw2bNhgbd+2bZv69OmjqKgoTZ8+3dp+5swZjRkzRlFRURowYID2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\nGGEQAADAxgiDAAAANkYYBAAAsLH/DxOTohXn8MeLAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108f6b650>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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y9zZ79+6VJFVXV6usrKzRXkEAQFuovUdx7X2KS9u7MgDOgEfCYGRkpD788ENV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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10fd28250>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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y9fXVjTfeqI8//lihoaHas2ePJKm4uFh9+vSRVNvil5+fb+1fUFAgl8ulsLAw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\ngg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10fd4c410>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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UmpqqwMBA5ebm6tFHH9X8+fMl1QTOp59+Wrt27dKuXbu0ZMmSeqETAAAADbVo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\nY4RBAAAAG/v/WHEOExeyeJkAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10fffe3d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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fHThwoMm2AAAA0DSPs9HooUOHdOutt2rJkiXy8vLSzJkz9cgjj0iS5s+fr7lz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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x111522590>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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AAACelp2drezs7PNa1+Nh8PTp05o0aZIeeOABTZgwQZLUr18/a/lPf/pT3X33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\nAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1117d5650>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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l4+OjmTNn6tFHH5UkzZs3T/fff78yMzPPxFufkgULFliv4+LiFBcX12FtAQAA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\nrkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1117f9810>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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dO+V2u5WWlqa4uDg5nU6VlJTIGKNly5Zp9OjR1j7eY61cuVKZmZm+vgwEteZC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\nEPoAAABsgNAHAABgA4Q+AAAAG/j/dEUKV/hOiYYAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1129af490>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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KClRbW6utW7fK4/EoOTlZUVFRcjqdKi4uljFGS5Ys0ZgxY6xzfNdavny50tLS\n/F0MAACAbsVhfENl/ejTTz/Vr3/9a9XW1uqCCy7Q888/r/r6emVmZqq0tFSxsbFatmyZevfuLUl6\n9NFH9dxzzyk4OFgLFy7UyJEjJTVM2TJ16lTV1NRo1KhRWrRokaSGKVsmT56sjRs3KiIiQgUFBYqN\njW1aMIdD7VA0dCENjxD4PgMtfX8m2878Onw+AQD+1lb+aZfQFwgIfSD0AQDspq38w4ocAAAANkDo\nAwAAsAFCHwAAgA0Q+tDtOJ3hHTIPJAAAXQmhD92O17tXxwZMAAAAidAHAABgC4Q+AAAAGyD0AQAA\n2AChDwAAwAYIfUCnCJbD4ZDD4ZDTGd7ZNwMAsIHgzr4BwJ7q5Bth7PUyvQwAoP3R0gcAAGADhD4A\nAAAbIPQBAADYAKEPAADABgh9AAAANkDoQ7fgdIZbU6AAAIDmCH3oFrzevWqYAsV09q0AABCQCH0A\nAAA2QOgDAACwAUIfAACADRD6AAAAbIDQBwAAYAOEPgAAABsg9AGdLlgOh0NOZ3hn3wgAoBsj9AGd\nrk6SkdfrtSaYJgACAPwtuLNvAIBPQ/iTJK+XlUUAAP5FSx8AAIANEPoAAABsgNAHAABgA4Q+AAAA\nGyD0AQAA2AChDwhIzN0HAPAvpmwBApJv7j6mbgEA+Ee7tPTFxsbqoosuUlJSkpKTkyVJVVVVSk9P\nV3x8vEaMGKF9+/ZZxy9YsEBut1sJCQlas2aNtX3Dhg0aMmSI3G63Zs2aZW0/fPiwJk6cKLfbrZSU\nFG3fvr09igEAANBttEvoczgcKioq0saNG7V+/XpJUm5urtLT07V582alpaUpNzdXklRSUqKlS5eq\npKREhYWFuv3222VMwwS1M2fOVF5enjwejzwejwoLCyVJeXl5ioiIkMfj0Zw5c5STk9MexQAAAOg2\n2u2ZPl9w81m1apWys7MlSdnZ2VqxYoUkaeXKlcrKylJISIhiY2MVFxen4uJiVVRUyOv1Wi2FU6ZM\nsc5pfK3x48dr7dq17VUMAACAbqHdWvquu+46DR8+XM8++6wkqbKyUpGRkZKkyMhIVVZWSpJ27twp\nl8tlnetyuVReXt5se3R0tMrLyyVJ5eXliomJkSQFBwcrLCxMVVVV7VEUIGA4neGszQsAOG3tMpDj\n/fff14ABA7R7926lp6crISGhyX7fL672Nm/ePOv71NRUpaamtvtrAu3F690r1uYFADRWVFSkoqKi\nkzq2XULBxmgsAAAgAElEQVTfgAEDJEn9+vXTuHHjtH79ekVGRmrXrl2KiopSRUWF+vfvL6mhBW/H\njh3WuWVlZXK5XIqOjlZZWVmz7b5zSktLNXDgQNXV1am6ulrh4c1bPhqHPgAAgO7m+Eat+fPnt3qs\n37t3v//+e3m9XknSwYMHtWbNGg0ZMkQZGRnKz8+XJOXn52vs2LGSpIyMDBUUFKi2tlZbt26Vx+NR\ncnKyoqKi5HQ6VVxcLGOMlixZojFjxljn+K61fPlypaWl+bsYAAAA3YrfW/oqKys1btw4SVJdXZ1u\nvvlmjRgxQsOHD1dmZqby8vIUGxurZcuWSZISExOVmZmpxMREBQcHa/HixVbX7+LFizV16lTV1NRo\n1KhRuv766yVJM2bM0OTJk+V2uxUREaGCggJ/FwMAAKBbcZjjh9l2Ew6Ho9kIYnRfDf9R8NW37/uW\ntp1of+Bdx/c5Pr6MfL4BAMdrK/+wDBsAAIANsAwbENCCO2SkOwCg+6OlD12ab+667qthDd5j3bo+\nwczXBwA4JTzThy7t2HNugfcsXvtdp+l+PucAAB+e6QNsytcSSosgAIBn+oBuzLeKByt4AABo6QMA\nALABQh8AAIANEPqAboLn9wAAbeGZPqCb4Pk9AEBbCH1Al9bS5M1M6AwAaI7uXaBLa2ny5tYmdAYA\n2BmhDwAAwAYIfQAAADZA6ANsoeE5P0b3AoB9MZADsAXfc35idC8A2BQtfQAAADZA6AMAALABQh8A\nAIANEPoAAABsgNAHAABgA4Q+AHI6w5nSBQC6OUIfAHm9e+Vbus3r9RL+AKAbYp4+AMdpmNOP+fwA\noHsh9AG207A6R4MQSUc682YAAB2E0AfYzrHVOSTHD9/TqgcA3V2bz/SlpaWd1DYAAAAEthZb+mpq\navT9999r9+7dqqqqsrbv379f5eXlHXZzAAAA8I8WQ9/TTz+thQsXaufOnbrkkkus7aGhobrzzjs7\n7OYAAADgHw5jjGlt56JFi3TXXXd15P34jcPhUBtFQxfmdIb/MMWIj++ZtJaeUzt+24n2d4XrdNxr\n8zMEAF1LW/mnzdAnSR988IG2bdumuro6a9uUKVP8e4ftgNDXfTWMPA38wEToAwB0tLbyT5ujd2+5\n5RZ98803GjZsmH70ox9Z27tC6ANwpo5N7RIa2kf791ed4HgAQCBrM/Rt2LBBJSUljeb0AmAfx6Z2\nYaJmAOj62pyy5cILL1RFRUVH3QsAAADaSZuhb/fu3UpMTNSIESM0evRojR49WhkZGSe8aH19vZKS\nkjR69GhJUlVVldLT0xUfH68RI0Zo37591rELFiyQ2+1WQkKC1qxZY23fsGGDhgwZIrfbrVmzZlnb\nDx8+rIkTJ8rtdislJUXbt28/5UIDAADYTZvdu/PmzTutiy5cuFCJiYnyer2SpNzcXKWnp+u+++7T\nY489ptzcXOXm5qqkpERLly5VSUmJysvLdd1118nj8cjhcGjmzJnKy8tTcnKyRo0apcLCQl1//fXK\ny8tTRESEPB6Pli5dqpycHBUUFJzWfQIAANhFmy19qampLX61paysTG+88YZ+/etfW6NHVq1apezs\nbElSdna2VqxYIUlauXKlsrKyFBISotjYWMXFxam4uFgVFRXyer1KTk6W1DBwxHdO42uNHz9ea9eu\nPf3SAwAA2ESboa9Xr14KDQ1VaGiozj77bAUFBcnpdLZ5wTlz5uiPf/yjgoKOXbqyslKRkZGSpMjI\nSFVWVkqSdu7cKZfLZR3ncrlUXl7ebHt0dLS1Ekh5ebliYmIkScHBwQoLC2uyagi6PqczXA6HQw6H\nQ05neGffDgAA3UKb3bsHDhywvj969KhWrVqljz76qNXj//rXv6p///5KSkpSUVFRi8f4fpl3hMbd\n0yfTSonA0DDxMqNGAQA4kaKiolYz1/HaDH2NBQUFaezYsZo3b55yc3NbPOaDDz7QqlWr9MYbb+jQ\noUPav3+/Jk+erMjISO3atUtRUVGqqKhQ//79JTW04O3YscM6v6ysTC6XS9HR0SorK2u23XdOaWmp\nBg4cqLq6OlVXVys8vOXWoNN9JhEAAKArOL5Ra/78+a0e22b37muvvWZ9vfrqq5o7d67OPffcVo9/\n9NFHtWPHDm3dulUFBQW69tprtWTJEmVkZCg/P1+SlJ+fr7Fjx0qSMjIyVFBQoNraWm3dulUej0fJ\nycmKioqS0+lUcXGxjDFasmSJxowZY53ju9by5cuVlpZ2cu8KAACAjbXZ0vf6669bXbHBwcGKjY3V\nypUrT/rivnPnzp2rzMxM5eXlKTY2VsuWLZMkJSYmKjMzU4mJiQoODtbixYutcxYvXqypU6eqpqZG\no0aN0vXXXy9JmjFjhiZPniy3262IiAhG7nYjzdfUBQAA/nLCtXe7Ktbe7XqOranbdB3Y4+uRtXc7\n57X5eQKAwNdW/mmze3fHjh0aN26c+vXrp379+mn8+PFNnrUDAABA19Bm6Js2bZoyMjK0c+dO7dy5\nU6NHj9a0adM66t4AAADgJ2127w4dOlSffvrpCbcFIrp3u56Wu3dDJNX98OeRRkd3ra7Rrt+921AP\noaF9tH8/82ICQKA67e7diIgILVmyRPX19aqrq9OLL76ovn37tstNAi2rU0PwOPLDnwT5ztFQDwy0\nAYCuq83Q9/zzz2vZsmWKiorSgAED9Oqrr+r555/vqHsDAACAn7Q5ZctDDz2kF154QX369JEkVVVV\n6Te/+Y2ee+65Drk5AAAA+EebLX2ffvqpFfgkKTw8XJ988km73xSAQBXMusgA0EW1GfqMMaqqOvbQ\ndlVVlerr69v9pgAEKt8zljzfBwBdTZvdu/fcc48uv/xyZWZmyhijV199Vf/v//2/jro3AAAA+MkJ\nV+T4/PPPtW7dOjkcDl177bVKTEzsqHs7I0zZ0vW0tiJH15/upPuWgZ8xAAgsbeUflmFDwCD0dYXX\nJvQBQCA77Xn6AAAA0D0Q+gCcJkbyAkBXQuhDp3I6w63ggK6GkbwA0JUQ+tCpGsICy6sBANDeCH0A\n/CCYbl4ACHBtztMHACenoavX66WbHgACFS19AAAANkDoAwAAsAFCHwAAgA0Q+gAAAGyA0AcAAGAD\nhD4AAAAbIPShU/hW4gAAAB2D0IdOcWwlDgAA0BEIfQAAADZA6APgRw3LsbEkGwAEHpZhA+BHDcux\nSWJJNgAIMLT0AQAA2AChDwAAwAYIfQAAADZA6AMAALABQh8AAIANEPoAAABsgNAHAABgA34NfYcO\nHdJll12mYcOGKTExUffff78kqaqqSunp6YqPj9eIESO0b98+65wFCxbI7XYrISFBa9assbZv2LBB\nQ4YMkdvt1qxZs6zthw8f1sSJE+V2u5WSkqLt27f7swgAAADdkl9D3znnnKO3335bmzZt0meffaa3\n335b7733nnJzc5Wenq7NmzcrLS1Nubm5kqSSkhItXbpUJSUlKiws1O233y5jGiZ2nTlzpvLy8uTx\neOTxeFRYWChJysvLU0REhDwej+bMmaOcnBx/FgEAAKBb8nv3bo8ePSRJtbW1qq+vV58+fbRq1Spl\nZ2dLkrKzs7VixQpJ0sqVK5WVlaWQkBDFxsYqLi5OxcXFqqiokNfrVXJysiRpypQp1jmNrzV+/Hit\nXbvW30UA4BfBLMcGAAHE78uwHT16VBdffLG2bNmimTNnavDgwaqsrFRkZKQkKTIyUpWVlZKknTt3\nKiUlxTrX5XKpvLxcISEhcrlc1vbo6GiVl5dLksrLyxUTE9Nw88HBCgsLU1VVlcLDm/9imTdvnvV9\namqqUlNT/V1cAK1qWJKN5dgAoP0UFRWpqKjopI71e+gLCgrSpk2bVF1drZEjR+rtt99ust+3GHtH\naBz6AAAAupvjG7Xmz5/f6rHtNno3LCxMN954ozZs2KDIyEjt2rVLklRRUaH+/ftLamjB27Fjh3VO\nWVmZXC6XoqOjVVZW1my775zS0lJJUl1dnaqrq1ts5QMAAMAxfg19e/bssUbm1tTU6G9/+5uSkpKU\nkZGh/Px8SVJ+fr7Gjh0rScrIyFBBQYFqa2u1detWeTweJScnKyoqSk6nU8XFxTLGaMmSJRozZox1\nju9ay5cvV1pamj+LAAAA0C35tXu3oqJC2dnZOnr0qI4eParJkycrLS1NSUlJyszMVF5enmJjY7Vs\n2TJJUmJiojIzM5WYmKjg4GAtXrzY6vpdvHixpk6dqpqaGo0aNUrXX3+9JGnGjBmaPHmy3G63IiIi\nVFBQ4M8ioB05neHyevd29m0AAGBLDuObI6WbcTgc6qZF67IaAr2vTnzfn8m2jjon0K7T9crAzyIA\ndIy28g8rcgAAANgAoQ8AAMAGCH0AAAA2QOgDAACwAUIfgHYWbE3KzpJsANB5/L4iBwA01bAcmySW\nZAOATkRLHwAAgA0Q+gAAAGyA0AcAAGADhD4AAAAbIPQB6ECM5AWAzsLoXQAdiJG8ANBZaOkDAACw\nAUIf2pXTGW515wEAgM5D9y7ahdMZLq937w9/Mz/8SfADAKCz0NKHdtEQ+MwJjwMAAB2D0AegkwQz\nihcAOhDduwA6ScNIXkbxAkDHoKUPAADABgh9ADoZEzYDQEegexdAJ2PCZgDoCLT0AQAA2AChDwAA\nwAYIffAbVt/AmWMaFwBoL4Q++M2xCZmZlBmnyzeNi5fBHQDgZwzkABCAGNwBAP5GSx+AAEeXLwD4\nAy19AAIcK3cAgD/Q0gcAAGADhD4AXQQrdwDAmaB7F0AXweAOADgTtPQB6BYazxNJSyAANEdLH4Au\nKLjRJOAhko788D0tgQDQGlr6AHRBvq5eo4bA1/KE4LT+AcAxfg99O3bs0DXXXKPBgwfrwgsv1KJF\niyRJVVVVSk9PV3x8vEaMGKF9+/ZZ5yxYsEBut1sJCQlas2aNtX3Dhg0aMmSI3G63Zs2aZW0/fPiw\nJk6cKLfbrZSUFG3fvt3fxQDQpTW0BDZeJabh+66H4ArAX/we+kJCQvTEE0/o888/10cffaQ///nP\n+uKLL5Sbm6v09HRt3rxZaWlpys3NlSSVlJRo6dKlKikpUWFhoW6//XYZ0/C/9pkzZyovL08ej0ce\nj0eFhYWSpLy8PEVERMjj8WjOnDnKycnxdzEAdGnHBn10dd0huAIIDH4PfVFRURo2bJgkqVevXho0\naJDKy8u1atUqZWdnS5Kys7O1YsUKSdLKlSuVlZWlkJAQxcbGKi4uTsXFxaqoqJDX61VycrIkacqU\nKdY5ja81fvx4rV271t/FAAC/o9UOQGdq14Ec27Zt08aNG3XZZZepsrJSkZGRkqTIyEhVVlZKknbu\n3KmUlBTrHJfLpfLycoWEhMjlclnbo6OjVV5eLkkqLy9XTExMQwGCgxUWFqaqqiqFhzf9R3TevHnW\n96mpqUpNTW2PYgLoEhq6fEND+2j//qpOuYNjrXaS1xtiDUbpzHsC0LUVFRWpqKjopI5tt9B34MAB\njR8/XgsXLlRoaGiTfb7/6ba3xqEPgN0F2nJupzPvYOcHVwCB5fhGrfnz57d6bLuM3j1y5IjGjx+v\nyZMna+zYsZIaWvd27dolSaqoqFD//v0lNbTg7dixwzq3rKxMLpdL0dHRKisra7bdd05paakkqa6u\nTtXV1c1a+QCg+/EFV57tA3Dq/B76jDGaMWOGEhMTNXv2bGt7RkaG8vPzJUn5+flWGMzIyFBBQYFq\na2u1detWeTweJScnKyoqSk6nU8XFxTLGaMmSJRozZkyzay1fvlxpaWn+LgYAdDie+QPQnhzGN1TW\nT9577z1dffXVuuiii6wu3AULFig5OVmZmZkqLS1VbGysli1bpt69e0uSHn30UT333HMKDg7WwoUL\nNXLkSEkNU7ZMnTpVNTU1GjVqlDX9y+HDhzV58mRt3LhRERERKigoUGxsbNOCORzyc9FwAg317XvP\nfd+3tO1E+9vzOp352pQhMF678/5taPlnRGqYYLruh++P7TfGtPpzxb9vAFrSVv7xe+gLFIS+jkfo\nowxd47UDMfS1dL8tB8HOLgOAwNZW/mFFDpwxX5cU0DUEd5Eu1LbmGuwqZQAQSFh7F2fs2DQUBD90\nBaczajbQdIcyAOhotPQBAADYAKEPANoZj0AACASEPgBoZ41X4gCAzkLoAwAAsAFCHwAbYxQsAPsg\n9AGwMd8oWHstbcbKH4A9MWULANhM42cMmfIFsA9a+gBAkq+rl5YvAN0VoQ8AJPm6er1er1+6Pht3\noQJAIKB7FwCa8M9qF02naSH4Aeh8tPQBAADYAKEPAFplh+f87FBGABKhDwDa4HvO7+Snc+l6S66d\nehkBdE2EPgDwo45fco0JpgGcHEIfAJyhzh2pe3ITTDOaGACjdwHgNDmd4Y2CVmCP1GU0MQBa+nBa\naDWAXTX+7Hd8Vy4AnD5CH07LsV92/MKDvXTfzz7PBgLdHd27AHBCwTZo1fbPpNQAAhctfQBwQscG\nSwBAV0XoA4Buw18TLTNhM9AdEfpwSrrexLOAnfgmWvae4fN5TNgMdEc804dTcuwhdoIfELgaP58X\nwn/UAEiipQ8AurljARCAvRH6cELMyQfYFdO4AN0J3bs4IWbyB+yKaVyA7oSWPgAAABsg9AEAANgA\noQ8AAMAGCH1oEYM3AADoXgh9aFH3XVQewOlhlQ6gq2P0LgDgJPhW6aD1H+iq/N7SN336dEVGRmrI\nkCHWtqqqKqWnpys+Pl4jRozQvn37rH0LFiyQ2+1WQkKC1qxZY23fsGGDhgwZIrfbrVmzZlnbDx8+\nrIkTJ8rtdislJUXbt2/3dxFsjWXWAADonvwe+qZNm6bCwsIm23Jzc5Wenq7NmzcrLS1Nubm5kqSS\nkhItXbpUJSUlKiws1O233y5jGroTZ86cqby8PHk8Hnk8HuuaeXl5ioiIkMfj0Zw5c5STk+PvItha\n0zn5AABAd+H30HfVVVepT58+TbatWrVK2dnZkqTs7GytWLFCkrRy5UplZWUpJCREsbGxiouLU3Fx\nsSoqKuT1epWcnCxJmjJlinVO42uNHz9ea9eu9XcRAAAAup0OGchRWVmpyMhISVJkZKQqKyslSTt3\n7pTL5bKOc7lcKi8vb7Y9Ojpa5eXlkqTy8nLFxMRIkoKDgxUWFqaqqqqOKAYAAECX1eEDOTpyGpB5\n8+ZZ36empio1NbVDXhcAAKAjFBUVqaio6KSO7ZDQFxkZqV27dikqKkoVFRXq37+/pIYWvB07dljH\nlZWVyeVyKTo6WmVlZc22+84pLS3VwIEDVVdXp+rqaoWHtzyFQOPQBwAA0N0c36g1f/78Vo/tkO7d\njIwM5efnS5Ly8/M1duxYa3tBQYFqa2u1detWeTweJScnKyoqSk6nU8XFxTLGaMmSJRozZkyzay1f\nvlxpaWkdUQQAgCTffH3M2Qd0PX5v6cvKytI777yjPXv2KCYmRr/73e80d+5cZWZmKi8vT7GxsVq2\nbJkkKTExUZmZmUpMTFRwcLAWL15sdf0uXrxYU6dOVU1NjUaNGqXrr79ekjRjxgxNnjxZbrdbERER\nKigo8HcRbMfpDP9h1C4AnEjDfH2SmLMP6GIcxjdHSjfjcDjUTYvmdw1B2/de+b5vaduJ9neF61CG\nwLgOZQiM65z5a/PvLBBY2so/LMMGAABgA4Q+AAAAGyD0nSHfsmVd8aFmllwDcGYY1AF0JR0+T193\n0XTwQ9d8qPnYkmtd674BBAoGdQBdCS19p4k1agEAQFdC6LOZxt3RAADAPgh93cyJnjE81kJJKyUA\nAHbCM33dRMvPGIb80KIXIulIZ90aAAAIALT0tYPOGNHb8jOGvoesj4jWPQAA7I2WPr8KbvSsHCPa\nAABA4KClz6+OTV9wTLDfW/yOtSSexaAMAABwUgh97a4hCB573u7MHevKpdsWQKDw/39wAfgXoe8U\nnNl0J8xcD6A78/9/cAH4F6HvFJzZdCe+rt/T+0eR+fUAAMCZIPQFIF/Aa9wiyPx6AADgTBD6TqB9\nWtja7ur1BTyv10vrHgAA8AtC3wm0Twtb465ebxsjcY8dBwBdA88vA4GKefo6nS/YOXQs3NGyB6Cr\nOjZ1FfOUAoGFlr5W+Lp1AQAAugNCXytaXtYMAACgayL0AQAA2AChDwAAwAYIfQCAdsLSbEAgYfQu\nAKCd+JZmY1AcEAho6QMAALABQh8AoJ0xYTMQCOjeBQC0MyZsBgIBLX0AAAA2QOgDAHQgRvQCnYXu\nXQBAB2JEL9BZaOkDAHQCBncAHY2WPgBAJ2BwB9DRaOkDAHQyWv2AjkDoa8TpDLf+4QEAdBRfq5+R\n1+sl/AHtpMuGvsLCQiUkJMjtduuxxx475fMbBzyH4yw5HA55vXvl+4cHAE5dUWffQDfgG+jh7bTW\nv6Kiog59PbQP6rG5Lhn66uvrdeedd6qwsFAlJSV65ZVX9MUXX5zSNZoGvCMi6AE4c0WdfQPdSOe1\n/hEWugfqsbkuGfrWr1+vuLg4xcbGKiQkRJMmTdLKlSs7+7YAAO2i81v/gO6gS4a+8vJyxcTEWH93\nuVwqLy8/qXN93boAgK6meetf40d0jv1JKARa0iWnbDnZ0Hbi4xwtfH+y207nHH9dx66vTRkC47Up\nQ2C8NmU45shxfzY8wnMm/8GfP3/+aZ+LwEE9NtUlQ190dLR27Nhh/X3Hjh1yuVxNjjGGZ/QAAAB8\numT37vDhw+XxeLRt2zbV1tZq6dKlysjI6OzbAgAACFhdsqUvODhYTz75pEaOHKn6+nrNmDFDgwYN\n6uzbAgAACFhdsqVPkm644QZ99dVX+vrrr3X//fd39u343Y4dO3TNNddo8ODBuvDCC7Vo0aIm+x9/\n/HEFBQWpqqrK2rZgwQK53W4lJCRozZo1HX3LaEFb9fhf//VfGjRokC688ELl5ORY26nHwNNaPa5f\nv17JyclKSkrSpZdeqn/84x/WOdRj4Dl06JAuu+wyDRs2TImJidbvjqqqKqWnpys+Pl4jRozQvn37\nrHOox8DTWj3ee++9GjRokIYOHaqbbrpJ1dXV1jnU4w8MAlJFRYXZuHGjMcYYr9dr4uPjTUlJiTHG\nmNLSUjNy5EgTGxtrvvvuO2OMMZ9//rkZOnSoqa2tNVu3bjUXXHCBqa+v77T7R4PW6nHdunXmuuuu\nM7W1tcYYY7799ltjDPUYqFqrx5///OemsLDQGGPMG2+8YVJTU40x1GMgO3jwoDHGmCNHjpjLLrvM\nvPvuu+bee+81jz32mDHGmNzcXJOTk2OMoR4DWUv1uGbNGqt+cnJyqMcWdNmWvu4uKipKw4YNkyT1\n6tVLgwYN0s6dOyVJd999t/7whz80OX7lypXKyspSSEiIYmNjFRcXp/Xr13f4faOpluqxvLxcTz31\nlO6//36FhIRIkvr16yeJegxUrdXjgAEDrNaEffv2KTo6WhL1GMh69OghSaqtrVV9fb369OmjVatW\nKTs7W5KUnZ2tFStWSKIeA9nx9RgeHq709HQFBTXEmssuu0xlZWWSqMfGCH1dwLZt27Rx40Zddtll\nWrlypVwuly666KImx+zcubPJCOZTmbsQHaNxPW7evFl///vflZKSotTUVH388ceSqMeuwFePKSkp\nys3N1T333KMf//jHuvfee7VgwQJJ1GMgO3r0qIYNG6bIyEiry76yslKRkZGSpMjISFVWVkqiHgPZ\n8fWYmJjYZP9zzz2nUaNGSaIeGyP0BbgDBw5owoQJWrhwoYKCgvToo482mXfItDE1DZNQB47G9Rga\nGqq6ujrt3btXH330kf74xz8qMzOz1XOpx8DRuB579eqlGTNmaNGiRSotLdUTTzyh6dOnt3ou9RgY\ngoKCtGnTJpWVlenvf/+73n777Sb7fZM7t4Z6DAzH12PjJdceeeQRnXXWWfrVr37V6vl2rUdCXwA7\ncuSIxo8fr1tuuUVjx47Vli1btG3bNg0dOlTnn3++ysrKdMkll6iysrLZ3IVlZWVWVxM61/H1KDX8\nT/Omm26SJF166aUKCgrSnj17qMcA1lI9rl+/XuPGjZMkTZgwweoyoh4DX1hYmG688UZt2LBBkZGR\n2rVrlySpoqJC/fv3l0Q9dgW+evT1lvz3f/+33njjDb300kvWMdRjI539UCFadvToUTN58mQze/bs\nVo9paSDH4cOHzTfffGN+8pOfmKNHj3bU7aIVrdXjU089ZR566CFjjDFfffWViYmJMcZQj4GqtXpM\nSkoyRUVFxhhj3nrrLTN8+HBjDPUYqHbv3m327t1rjDHm+++/N1dddZV56623zL333mtyc3ONMcYs\nWLCg2QAA6jGwtFaPb775pklMTDS7d+9ucjz1eEyXnKfPDt5//329+OKLuuiii5SUlCRJevTRR3XD\nDTdYxzRunk5MTFRmZqYSExMVHBysxYsX27b5OpC0VI8LFizQ9OnTNX36dA0ZMkRnnXWWXnjhBUnU\nY6Bq7efxmWee0R133KHDhw/r3HPP1TPPPCOJegxUFRUVys7O1tGjR3X06FFNnjxZaWlpSkpKUmZm\npvLy8hQbG6tly5ZJoh4DVWv16Ha7VVtbq/T0dEnS5ZdfrsWLF1OPjTiMYb0yAACA7o5n+gAAAGyA\n0AcAAGADhD4AAAAbIPQBAADYAKEPAADABgh9AGzvu+++U1JSkpKSkjRgwAC5XC4lJSXp4osv1pEj\nR5od/6Mf/UhJSUkaNmyYLrnkEn344YctXveKK644pfuYOnWqXnvtNUlSVVWVkpKSlJ+ff+oFAoAW\nME8fANuLiIjQxo0bJUnz589XaGio7r777laP79Gjh3X8mjVrdP/99zdZBsrn/fffP6X78C0BVl1d\nrZEjR+q2225Tdnb2KV0DAFpDSx8AHOdUpi+trq5WeHh4i/t69eolSSoqKlJqaqp++ctfatCgQbrl\nlltavZ7X69WoUaN0yy236F//9V9P7cYBoA209AHAKaqpqVFSUpIOHTqkiooKrVu3rsXjGs/6v2nT\nJoQ8bawAAAFMSURBVJWUlGjAgAG64oor9P777zfr/jXG6O6779a//Mu/aNasWe1aBgD2Q0sfAJyi\nc889Vxs3btQXX3yhwsJCTZky5YTnJCcna+DAgXI4HBo2bJi2bdvW7BiHw6Frr71WK1as0O7du9vh\nzgHYGaEPAM5ASkqK9uzZoz179rR53Nlnn219/6Mf/Uh1dXUtHjdp0iTddtttGjVqlA4cOODXewVg\nb4Q+ADgDX375perr6xUREeG3a86ePVtpaWm66aabWhw9DACng9AHAMdp/CxeS3zP9CUlJWnSpEl6\n4YUXWjyn8bbj97f2Gr7tubm5crlcmjJlyikNLAGA1jgM/5oAAAB0e7T0AQAA2ABTtgBAC7777jtd\nd911zbavXbu21Xn5ACCQ0b0LAABgA3TvAgAA2AChDwAAwAYIfQAAADZA6AMAALABQh8AAIAN/H/w\nXxLio3IDyAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1129d4650>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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X2LFjtXr16sauBtDoCFEAgJbU6KFv69at6t69uyZPnqzLL79cP/3pT3X48GGV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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x113193790>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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JaKArrKmp0aeffqqnnnpKw4YN06xZs6xLuXXaasHXefPmWa9TUlKUkpLS6u8J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\nSRcsAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1131b6950>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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cDkePuG4RAHqapn/IjaTm7zrucVtlJ1vO5y3QU3SUf7gdHQAAgI0RBgEAAGyM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\nACxGMggAAGAxkkEAAACL/QFtCTUbfLmWSQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x11396f390>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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AANgYYRAAAMDGCIMAAAA2RhgEAACwMcIgAACAjREGAQAAbIwwCAAAYGOEQQAA\nABsjDAIAANgYYRAAAMDGCIMA0I85ncFyOBxyOBw9XRUAvZTDGGN6uhK+5HA4ZLNDBmBjTSGw+TOv\n+XFbZcdbfvxt+GwFeq+O8g89gwAAADZGGAQAALAxwiAAAICNEQYBAABsjDAIAABgY4RBAAAAGyMM\nAgAA2BhhEAAAwMYIgwAAADZGGAQAALAxwiAAAICNEQYBAABsjDAIAABgY4RBAAAAGyMMAgAA2Bhh\nEAAAwMa6NAzOmTNHoaGhiouLs8puu+02jRw5UqNHj9aVV16pmpoaa1lWVpbcbrdiYmKUn59vlW/e\nvFlxcXFyu91asGCBVV5fX6/p06fL7XYrISFBu3btspbl5OQoOjpa0dHRWr58eVceFgDguPzlcDjk\ncDjkdAb3dGUAfAddGgZnz56tvLy8FmUTJ07U1q1b9cEHHyg6OlpZWVmSpOLiYq1cuVLFxcXKy8vT\n/PnzZYyRJM2bN0/Z2dnyeDzyeDzWPrOzsxUSEiKPx6OFCxcqIyNDklRZWanFixerqKhIRUVFyszM\nVHV1dVceGgCgQ42SjCSj2tqqnq4MgO+gS8Pg+PHjNXjw4BZlSUlJ8vNreppx48aptLRUkrRmzRql\npaUpICBAkZGRioqKUmFhocrLy1VbW6v4+HhJ0syZM7V69WpJ0tq1a5Weni5JSklJ0YYNGyRJ69at\n08SJExUUFKSgoCAlJSW1CqUAAABozd+XT/bMM88oLS1NklRWVqaEhARrmcvlktfrVUBAgFwul1Ue\nHh4ur9crSfJ6vYqIiJAk+fv7KzAwUHv37lVZWVmLbZr31Z5FixZZjxMTE5WYmNgVhwcAANArFBQU\nqKCgoFPr+iwM3n///TrppJN0zTXX+Oop23V0GAQAAOhvju3syszMbHddn4wmfvbZZ/Xyyy/r+eef\nt8rCw8NVUlJi/VxaWiqXy6Xw8HDrVPLR5c3b7N69W5LU2NiompoahYSEtNpXSUlJi55CAAAAtK3b\nw2BeXp4efvhhrVmzRqeccopVnpycrNzcXDU0NGjHjh3yeDyKj49XWFiYnE6nCgsLZYzRihUrNHXq\nVGubnJwcSdKqVas0YcIESU2DVPLz81VdXa2qqiqtX79ekyZN6u5DAwAA6PO69DRxWlqaNm7cqD17\n9igiIkKZmZnKyspSQ0ODkpKSJEnnn3++li1bptjYWKWmpio2Nlb+/v5atmyZHA6HJGnZsmWaNWuW\n6urqNGWYA5rbAAAgAElEQVTKFE2ePFmSNHfuXM2YMUNut1shISHKzc2VJAUHB+uee+7R2LFjJUn3\n3XefgoKCuvLQAAAA+iWHaZ7PxSYcDodsdsgAbKzpn+zmz7zmx22VHW/5d9uGz1mgd+ko/3AHEgAA\nABsjDAIAANgYYRAAAMDGCIMAAAA2RhgEAACwMcIgAPRDTmewNV0XAHSEMAgA/VBtbZWOTPUCAO0j\nDAIAANgYYRAAeqHm07wOh0NOZ3BPVwdAP8YdSACgFzr2ziHf9XPryPbcgQQAdyABAABAOwiDAAAA\nNkYYBAAAsDHCIAAAgI0RBgEAAGyMMAgAAGBjhEEAAAAbIwwCALqYP5NlA32If09XAADQ3zRKMqqt\ndfR0RQB0Aj2DAAAANkYYBAAAsDHCIAAAgI0RBgEAAGyMMAgAAGBjhEEAAAAbIwwCAADYGGEQAADA\nxgiDANBPOJ3BcjgccjiY7BlA5xEGAaCfqK2tkmS+/QKAzunSMDhnzhyFhoYqLi7OKqusrFRSUpKi\no6M1ceJEVVdXW8uysrLkdrsVExOj/Px8q3zz5s2Ki4uT2+3WggULrPL6+npNnz5dbrdbCQkJ2rVr\nl7UsJydH0dHRio6O1vLly7vysADAZ5p79wDAV7o0DM6ePVt5eXktypYsWaKkpCRt27ZNEyZM0JIl\nSyRJxcXFWrlypYqLi5WXl6f58+fLmKb/ZufNm6fs7Gx5PB55PB5rn9nZ2QoJCZHH49HChQuVkZEh\nqSlwLl68WEVFRSoqKlJmZmaL0AkAfcWR3j0A8I0uDYPjx4/X4MGDW5StXbtW6enpkqT09HStXr1a\nkrRmzRqlpaUpICBAkZGRioqKUmFhocrLy1VbW6v4+HhJ0syZM61tjt5XSkqKNmzYIElat26dJk6c\nqKCgIAUFBSkpKalVKAUAAEBr3X7NYEVFhUJDQyVJoaGhqqiokCSVlZXJ5XJZ67lcLnm93lbl4eHh\n8nq9kiSv16uIiAhJkr+/vwIDA7V379529wUAAICO+fvyyXrLKLdFixZZjxMTE5WYmNhjdQEAAOhq\nBQUFKigo6NS63R4GQ0ND9cUXXygsLEzl5eUaNmyYpKYev5KSEmu90tJSuVwuhYeHq7S0tFV58za7\nd+/WiBEj1NjYqJqaGoWEhCg8PLzFAZeUlOiSSy5pt05Hh0EAAID+5tjOrszMzHbX7fbTxMnJycrJ\nyZHUNOJ32rRpVnlubq4aGhq0Y8cOeTwexcfHKywsTE6nU4WFhTLGaMWKFZo6dWqrfa1atUoTJkyQ\nJE2cOFH5+fmqrq5WVVWV1q9fr0mTJnX3oQEAAPR5XdozmJaWpo0bN2rPnj2KiIjQ4sWLdccddyg1\nNVXZ2dmKjIzUiy++KEmKjY1VamqqYmNj5e/vr2XLllmnkJctW6ZZs2aprq5OU6ZM0eTJkyVJc+fO\n1YwZM+R2uxUSEqLc3FxJUnBwsO655x6NHTtWknTfffcpKCioKw8NAACgX3KY5vlcbMLhcMhmhwyg\nD2n6p9hIav4uSZ373DqyrY7avrNl3bMNn7dA79BR/uEOJAAAADZGGASAXs9fDodDTmdwT1cEQD/U\nYRhsHqBxvDIAQHdqlGS+vTsJAHStNgeQ1NXV6eDBg/rqq69UWVlple/bt4/JnAEAAPqRNsPgk08+\nqaVLl6qsrEznnnuuVT5o0CDdcMMNPqscAAAAuleHo4kfffRR3Xjjjb6sT7djNDGA3qy90cSdGZ3L\naGIA7eko/xx3apl///vf2rlzpxobG62ymTNndm0NfYgwCKA3IwwC6A4d5Z8OJ52+9tpr9fnnn+uc\nc87RD37wA6u8L4dBAAAAHNFhGNy8ebOKi4utO4MAAACgf+lwapmzzjpL5eXlvqoLAOAEOJ3B/NMO\n4IR12DP41VdfKTY2VvHx8Tr55JMlNZ1zXrt2rU8qBwA4vqb5B5uv2wOA76bDMLho0SIfVQMAAAA9\n4bijifsbRhMD6M1OZDTx8bZhNDGAjvJPh9cMDhw4UIMGDdKgQYN08skny8/PT06ns1sqCQB21XzN\nH9f9AegJHZ4m3r9/v/X48OHDWrt2rTZt2tTtlQIAOzlyzZ/EdX8AfO07nyY+55xz9P7773dXfbod\np4kB9DbfZbJoThMDOBEnPOn0Sy+9ZD0+fPiwNm/erFNPPbVrawcAAIAe02EY/Mc//mFdw+Lv76/I\nyEitWbPGJxUDABzL3/pMHjRosPbtq+zh+gDoDxhNDAA97MTuKRwgqfGovXCaGED7Tng0cUlJia64\n4goNHTpUQ4cOVUpKikpLS7ulkgCA76JRTYGLsAXg++kwDM6ePVvJyckqKytTWVmZLr/8cs2ePdtX\ndQMA9Gn+1pQ5TmdwT1cGQDs6PE08evRoffDBB8ct60s4TQygtzmx08TfZxvfnSY+uozPXqDnnPBp\n4pCQEK1YsUKHDh1SY2OjnnvuOQ0ZMqRbKgkAAADf67BncNeuXbrhhhusiaYvuOACPfbYYzr99NN9\nVsGuRs8ggN6GnkEA3e2E5xm89957tXz5cg0ePFiSVFlZqVtvvVXPPPNM19cSAAAAPtfhaeIPPvjA\nCoKSFBwcrPfee6/bKwUAAADf6DAMGmNUWXlkUtPKykodOnSo2ysFAAAA3+jwNPEtt9yi888/X6mp\nqTLG6G9/+5t+//vf+6puAAAA6GbHvQPJ1q1b9dprr8nhcOiSSy5RbGysr+rWLRhAAqC3YQAJgO7W\nUf7hdnQA0MMIgwC62wnPM9iVsrKyNGrUKMXFxemaa65RfX29KisrlZSUpOjoaE2cOFHV1dUt1ne7\n3YqJiVF+fr5VvnnzZsXFxcntdmvBggVWeX19vaZPny63262EhATt2rXLV4cGAADQZ/kkDO7cuVNP\nP/203nvvPX300Uc6dOiQcnNztWTJEiUlJWnbtm2aMGGClixZIkkqLi7WypUrVVxcrLy8PM2fP99K\ns/PmzVN2drY8Ho88Ho/y8vIkSdnZ2QoJCZHH49HChQuVkZHhi0MDAADo03wSBp1OpwICAnTw4EE1\nNjbq4MGDGjFihNauXav09HRJUnp6ulavXi1JWrNmjdLS0hQQEKDIyEhFRUWpsLBQ5eXlqq2tVXx8\nvCRp5syZ1jZH7yslJUUbNmzwxaEBwAlzOoO/PUUMAD2nw9HEXSU4OFi33HKLTj/9dJ166qmaNGmS\nkpKSVFFRodDQUElSaGioKioqJEllZWVKSEiwtne5XPJ6vQoICJDL5bLKw8PD5fV6JUler1cRERFN\nB+Xvr8DAQFVWVio4uPXN0RctWmQ9TkxMVGJiYlcfMgAcV21tlY5cWwcAXaegoEAFBQWdWtcnYXD7\n9u364x//qJ07dyowMFC//OUv9dxzz7VYx+Fw+Ow/5KPDIAAAQH9zbGdXZmZmu+v65DTxu+++qwsu\nuEAhISHy9/fXlVdeqXfeeUdhYWH64osvJEnl5eUaNmyYpKYev5KSEmv70tJSuVwuhYeHq7S0tFV5\n8za7d++WJDU2NqqmpqbNXkEAAAAc4ZMwGBMTo02bNqmurk7GGL366quKjY3V5ZdfrpycHElSTk6O\npk2bJklKTk5Wbm6uGhoatGPHDnk8HsXHxyssLExOp1OFhYUyxmjFihWaOnWqtU3zvlatWqUJEyb4\n4tAAAAD6NJ+cJh49erRmzpyp8847T35+fvrJT36i6667TrW1tUpNTVV2drYiIyP14osvSpJiY2OV\nmpqq2NhY+fv7a9myZdYp5GXLlmnWrFmqq6vTlClTNHnyZEnS3LlzNWPGDLndboWEhCg3N9cXhwYA\nANCnMek0APSQI5NNM+k0gO7VKyadBgAAQO9DGAQAALAxwiAAAICNEQYBAABsjDAIAABgY4RBAAAA\nGyMMAgAA2BhhEAAAwMYIgwAAADZGGAQAALAxwiAAAICNEQYBAABsjDAIAABgY4RBAAAAGyMMAgAA\n2BhhEAAAwMYIgwAAADZGGAQAALAxwiAAAICNEQYBwIeczmA5HA45HI6ergoASCIMAoBP1dZWSTLf\nfgFAzyMMAgAA2BhhEAC60NGngZ3O4J6uTi/iz2sC9FIOY4ytzlU4HA7Z7JAB+FDTtYDNnzGtP2+O\nXd70+PuU9eR+Tuy5+QwGfK+j/EPPIAAAgI0RBgEAAGyMMAgAAGBjhEEAAAAbIwwCAADYmM/CYHV1\nta666iqNHDlSsbGxKiwsVGVlpZKSkhQdHa2JEyequrraWj8rK0tut1sxMTHKz8+3yjdv3qy4uDi5\n3W4tWLDAKq+vr9f06dPldruVkJCgXbt2+erQAAAA+iyfhcEFCxZoypQp+vjjj/Xhhx8qJiZGS5Ys\nUVJSkrZt26YJEyZoyZIlkqTi4mKtXLlSxcXFysvL0/z5863h0PPmzVN2drY8Ho88Ho/y8vIkSdnZ\n2QoJCZHH49HChQuVkZHhq0MDgHYwtx6A3s8nYbCmpkZvvvmm5syZI0ny9/dXYGCg1q5dq/T0dElS\nenq6Vq9eLUlas2aN0tLSFBAQoMjISEVFRamwsFDl5eWqra1VfHy8JGnmzJnWNkfvKyUlRRs2bPDF\noQFABxolmW9vQQcAvZNPwuCOHTs0dOhQzZ49Wz/5yU/0m9/8RgcOHFBFRYVCQ0MlSaGhoaqoqJAk\nlZWVyeVyWdu7XC55vd5W5eHh4fJ6vZIkr9eriIgISUfCZmVlpS8ODwAAoM/y98WTNDY26r333tPj\njz+usWPH6qabbrJOCTdrvn2TLyxatMh6nJiYqMTERJ88LwAAgC8UFBSooKCgU+v6JAy6XC65XC6N\nHTtWknTVVVcpKytLYWFh+uKLLxQWFqby8nINGzZMUlOPX0lJibV9aWmpXC6XwsPDVVpa2qq8eZvd\nu3drxIgRamxsVE1NjYKD275O5+gwCAAA0N8c29mVmZnZ7ro+OU0cFhamiIgIbdu2TZL06quvatSo\nUbr88suVk5MjScrJydG0adMkScnJycrNzVVDQ4N27Nghj8ej+Ph4hYWFyel0qrCwUMYYrVixQlOn\nTrW2ad7XqlWrNGHCBF8cGgAAQJ/mMD66Y/gHH3ygX//612poaNCZZ56pv/zlLzp06JBSU1O1e/du\nRUZG6sUXX1RQUJAk6YEHHtAzzzwjf39/LV26VJMmTZLUNLXMrFmzVFdXpylTpujRRx+V1DS1zIwZ\nM7RlyxaFhIQoNzdXkZGRrQ+4gxs1A8D31XS5S/NnTPPjI5877S0/8bKe3M+JPTefwYDvdZR/fBYG\newvCIIDu1HbYC1DTyOJmPR3iCIOA3XSUf7gDCQB0u6YpZo4EIwDoPQiDAAAANkYYBAAAsDHCIAAA\ngI0RBgEAAGyMMAgAAGBjhEEAAAAbIwwCAADYGGEQAADAxgiDAAAANkYYBAAAsDHCIAAAgI0RBgEA\nAGyMMAgAAGBjhEEAAAAbIwwCAADYGGEQAADAxgiDAAAANkYYBAAAsDHCIADAh/zlcDjkcDjkdAb3\ndGUASPLv6QoAAOykUZKRJNXWOnq2KgAk0TMIAABga4RBAOgCTmewHA56ugD0PYRBAOgCtbVVaj79\nCQB9CWEQAADAxgiDAAAANkYYBAAAsDHCIAAAgI0RBgEAAGzMp2Hw0KFDGjNmjC6//HJJUmVlpZKS\nkhQdHa2JEyequrraWjcrK0tut1sxMTHKz8+3yjdv3qy4uDi53W4tWLDAKq+vr9f06dPldruVkJCg\nXbt2+e7AAAAA+iifhsGlS5cqNjbWmotryZIlSkpK0rZt2zRhwgQtWbJEklRcXKyVK1equLhYeXl5\nmj9/voxpmrJh3rx5ys7OlsfjkcfjUV5eniQpOztbISEh8ng8WrhwoTIyMnx5aAAAAH2Sz8JgaWmp\nXn75Zf3617+2gt3atWuVnp4uSUpPT9fq1aslSWvWrFFaWpoCAgIUGRmpqKgoFRYWqry8XLW1tYqP\nj5ckzZw509rm6H2lpKRow4YNvjo0AACAPstnYXDhwoV6+OGH5ed35CkrKioUGhoqSQoNDVVFRYUk\nqaysTC6Xy1rP5XLJ6/W2Kg8PD5fX65Ukeb1eRURESJL8/f0VGBioysrKbj8uAACAvszfF0/yz3/+\nU8OGDdOYMWNUUFDQ5joOh8Nnt3JatGiR9TgxMVGJiYk+eV4AAABfKCgoaDdzHcsnYfDf//631q5d\nq5dffllff/219u3bpxkzZig0NFRffPGFwsLCVF5ermHDhklq6vErKSmxti8tLZXL5VJ4eLhKS0tb\nlTdvs3v3bo0YMUKNjY2qqalRcHBwm/U5OgwCAAD0N8d2dmVmZra7rk9OEz/wwAMqKSnRjh07lJub\nq0suuUQrVqxQcnKycnJyJEk5OTmaNm2aJCk5OVm5ublqaGjQjh075PF4FB8fr7CwMDmdThUWFsoY\noxUrVmjq1KnWNs37WrVqlSZMmOCLQwMAAOjTfNIzeKzm08F33HGHUlNTlZ2drcjISL344ouSpNjY\nWKWmpio2Nlb+/v5atmyZtc2yZcs0a9Ys1dXVacqUKZo8ebIkae7cuZoxY4bcbrdCQkKUm5vbE4cG\nAADQpzhM89Bem3A4HLLZIQPoQk5nsGprqyRJgwYN1r59TQPVmv5hNZKav+uox22VHW95X9jP939u\nPo8B3+go//RIzyAA9FVNQdB8+9g3g94AoDtxOzoAAAAbIwwCwAnz9+m0WP3PkdfP6Wx79gcA3Y/T\nxABwwhrV8po4fDdHXj9OuQM9h55BAAAAGyMMAkAnOJ3BnA4G0C8RBgGgE44eRQwA/QlhEAAAwMYI\ngwAAADZGGAQAALAxwiAAAICNEQYBAABsjDAIAOgF/LkTCdBDuAMJAKAXaLobCXciAXyPnkEAAAAb\nIwwCAADYGGEQAADAxgiDAAAANkYYBAAAsDHCIAAAgI0RBgEAAGyMMAgAAGBjhEEAQC/SdCcS7kYC\n+A53IAEA9CJNdyKRxN1IAB+hZxAAAMDGCIMAAAA2RhgEgHY4ncHW9WsA0F8RBgGgHbW1VWq6fs30\ndFUAoNsQBgEAAGyMMAgA6KX8mWIG8AGfhMGSkhJdfPHFGjVqlM466yw9+uijkqTKykolJSUpOjpa\nEydOVHV1tbVNVlaW3G63YmJilJ+fb5Vv3rxZcXFxcrvdWrBggVVeX1+v6dOny+12KyEhQbt27fLF\noQEAuk3TNDNNp+sBdBefhMGAgAA98sgj2rp1qzZt2qQ//elP+vjjj7VkyRIlJSVp27ZtmjBhgpYs\nWSJJKi4u1sqVK1VcXKy8vDzNnz9fxjRdszNv3jxlZ2fL4/HI4/EoLy9PkpSdna2QkBB5PB4tXLhQ\nGRkZvjg0AACAPs0nYTAsLEznnHOOJGngwIEaOXKkvF6v1q5dq/T0dElSenq6Vq9eLUlas2aN0tLS\nFBAQoMjISEVFRamwsFDl5eWqra1VfHy8JGnmzJnWNkfvKyUlRRs2bPDFoQEAAPRpPr8Dyc6dO7Vl\nyxaNGzdOFRUVCg0NlSSFhoaqoqJCklRWVqaEhARrG5fLJa/Xq4CAALlcLqs8PDxcXq9XkuT1ehUR\nESFJ8vf3V2BgoCorKxUc3Ppak0WLFlmPExMTlZiY2NWHCaAPczqDOTUJoE8rKChQQUFBp9b1aRjc\nv3+/UlJStHTpUg0aNKjFMl/O5XV0GASAYx2ZUob5BQH0Tcd2dmVmZra7rs9GE3/zzTdKSUnRjBkz\nNG3aNElNvYFffPGFJKm8vFzDhg2T1NTjV1JSYm1bWloql8ul8PBwlZaWtipv3mb37t2SpMbGRtXU\n1LTZKwgAAIAjfBIGjTGaO3euYmNjddNNN1nlycnJysnJkSTl5ORYITE5OVm5ublqaGjQjh075PF4\nFB8fr7CwMDmdThUWFsoYoxUrVmjq1Kmt9rVq1SpNmDDBF4cGAOh2/tbZI6aZAbqewzQP0+1Gb731\nli666CKdffbZ1qngrKwsxcfHKzU1Vbt371ZkZKRefPFFBQUFSZIeeOABPfPMM/L399fSpUs1adIk\nSU1Ty8yaNUt1dXWaMmWKNU1NfX29ZsyYoS1btigkJES5ubmKjIxsfcAOh3xwyAD6sKbPqebTxM2f\nFx2VHW95V23T2/bTM8/NZzjw3XWUf3wSBnsTwiCA4yEM9u7n5jMc+O46yj/cgQQA1DSC2JcD2QCg\ntyAMAoCOHkFMrxMAeyEMAgD6EO5XDHQ1n086DQDAiWu+XzGn84GuQs8gAACAjREGAdha88ARALAr\nwiAAWzsycAQA7IkwCADog7grCdBVGEACAOiDmgaSSGIwCfA90TMIwHaYYBoAjiAMArAdJpgGgCMI\ngwAAADZGGAQA9HEMJgG+D8IgAFvgOsH+rHkwifn2EgAA3wVhEIAtcJ0gALSNMAgAAGBjhEEAQD/i\nz7WDwHfEpNMAgH6k6fpBJqIGOo+eQQAAABsjDAIAANgYYRAA0A8x9yDQWYRBAP1a8/yCsBvmHgQ6\nizAIoF87Mr8gAKAthEEA/Q53GwGAziMMAuh3uNsIWmLuQaAjhEEA/QbXB6JtzXMPcu0g0BYmnQbQ\npzmdwcf8kTeSCIQA0Fn0DALok5p7ATkljM5juhmgLYRBAN/b0QM2HI6Tjvl+5PHx/gB3dj8tQyDQ\nWUw3A7Sl34XBvLw8xcTEyO1268EHH+zp6vSIgoKCnq4CukBfaseWvXPfHPP9yOPa2to2g13z487u\np2+FwIKergC6QF/6fUT7aMe29asweOjQId1www3Ky8tTcXGx/vrXv+rjjz/u6Wr5HG/2/qG3tmNb\nvXedd6Rnpu2Q1x8V9HQF0Kbvdsq4t/4+4ruhHdvWr8JgUVGRoqKiFBkZqYCAAF199dVas2ZNT1cL\n6HWOBLq2TsF2XNZ27x3Q13DKGGjWr8Kg1+tVRESE9bPL5ZLX6+3BGsEuvnu4On74yszM7JL9dHy9\nXVu9c8crA/ob/1a/IwwwgZ30q6llOnu6yg7zkGVmZvZ0FWzqmzYet1V2vOXduZ9mjmO+n0hZT+6n\nJ5/7u+wns4P1uvu5aYfObyMd/TtSW1vV6m8Fn6v9A+3YWr8Kg+Hh4SopKbF+LikpkcvlarGOMfRs\nAAAANOtXp4nPO+88eTwe7dy5Uw0NDVq5cqWSk5N7uloAAAC9Vr/qGfT399fjjz+uSZMm6dChQ5o7\nd65GjhzZ09UCAADotfpVz6AkXXbZZfr000/12Wef6c477+zp6nS5kpISXXzxxRo1apTOOussPfro\noy2W/+EPf5Cfn58qKyutsqysLLndbsXExCg/P9/XVUYbOmrHxx57TCNHjtRZZ52ljIwMq5x27H3a\na8eioiLFx8drzJgxGjt2rP7zn/9Y29COvc/XX3+tcePG6ZxzzlFsbKz1t6OyslJJSUmKjo7WxIkT\nVV1dbW1DO/Y+7bXjbbfdppEjR2r06NG68sorVVNTY21DO37LoE8pLy83W7ZsMcYYU1tba6Kjo01x\ncbExxpjdu3ebSZMmmcjISLN3715jjDFbt241o0ePNg0NDWbHjh3mzDPPNIcOHeqx+qNJe+342muv\nmUsvvdQ0NDQYY4z58ssvjTG0Y2/VXjv+7Gc/M3l5ecYYY15++WWTmJhojKEde7MDBw4YY4z55ptv\nzLhx48ybb75pbrvtNvPggw8aY4xZsmSJycjIMMbQjr1ZW+2Yn59vtU9GRgbt2IZ+1zPY34WFhemc\nc86RJA0cOFAjR45UWVmZJOnmm2/WQw891GL9NWvWKC0tTQEBAYqMjFRUVJSKiop8Xm+01FY7er1e\nPfHEE7rzzjsVEBAgSRo6dKgk2rG3aq8dhw8fbvU+VFdXKzw8XBLt2JuddtppkqSGhgYdOnRIgwcP\n1tq1a5Weni5JSk9P1+rVqyXRjr3Zse0YHByspKQk+fk1xZ1x48aptLRUEu14NMJgH7Zz505t2bJF\n48aN05o1a+RyuXT22We3WKesrKzFiGrmXux9jm7Hbdu26Y033lBCQoISExP17rvvSqId+4LmdkxI\nSNCSJUt0yy236PTTT9dtt92mrKwsSbRjb3b48GGdc845Cg0NtU79V1RUKDQ0VJIUGhqqiooKSbRj\nb3ZsO8bGxrZY/swzz2jKlCmSaMejEQb7qP379+uqq67S0qVL5efnpwceeKDF3Emmgyl07DDPYl9x\ndDsOGjRIjY2Nqqqq0qZNm/Twww8rNTW13W1px97j6HYcOHCg5s6dq0cffVS7d+/WI488ojlz5rS7\nLe3YO/j5+en9999XaWmp3njjDb3++ustljdPRt0e2rF3OLYdj7793P3336+TTjpJ11xzTbvb27Ud\nCYN90DfffKOUlBRde+21mjZtmrZv366dO3dq9OjR+uEPf6jS0lKde+65qqioaDX3YmlpqXXKCj3r\n2HaUmv4zvfLKKyVJY8eOlZ+fn/bs2UM79mJttWNRUZGuuOIKSdJVV11lnXqiHXu/wMBA/fznP9fm\nzZsVGhqqL774QpJUXl6uYcOGSaId+4Lmdmw+u/Lss8/q5Zdf1vPPP2+tQzsepacvWsR3c/jwYTNj\nxgxz0003tbtOWwNI6uvrzeeff25+9KMfmcOHD/uqumhHe+34xBNPmHvvvdcYY8ynn35qIiIijDG0\nY2/VXjuOGTPGFBQUGGOMefXVV815551njKEde6uvvvrKVFVVGWOMOXjwoBk/frx59dVXzW233WaW\nLFlijDEmKyur1cAD2rF3aa8dX3nlFRMbG2u++uqrFuvTjkf0q3kG7eDtt9/Wc889p7PPPltjxoyR\nJD3wwAO67LLLrHWO7uaOjY1VamqqYv9/e/fvkn4Qx3H8JUZh1JKT4dDSUBB4BVG4RBaBY1A4mIYQ\nCQ2FW2NT/QUOQkOOQdAYQdEijTZVY5tDGkhBv/U7GX6/faz8YiDc8zHJfd6f8z4cypu7+9wND6uj\no0PpdNraYfB24tSP29vbSiQSSiQSGhkZUWdnp7LZrCT6sV01+j1mMhmtra3p+flZHo9HmUxGEv3Y\nru81YyAAAAJ1SURBVAqFguLxuCqViiqVipaWlhQKhWSM0eLionZ3dzUwMKD9/X1J9GO7atSPg4OD\nenl50ezsrCRpcnJS6XSafqzjqlY5nw0AAMBWrBkEAACwGMkgAACAxUgGAQAALEYyCAAAYDGSQQAA\nAIuRDAKAg1KpJGOMjDHy+Xzy+/0yxmh0dFSvr6+f4t1ut4wxCgQCGhsb0/n5uWO9wWCwqXYsLy/r\n4OBAknR3dydjjPb29pp/IABogH0GAcCB1+tVPp+XJG1tbam3t1epVKphfHd390f88fGxNjc3/zoK\nqyaXyzXVjtoxaOVyWXNzc0omk4rH403VAQBfYWQQAH6gmS1Zy+Wy+vr6HK/19PRIks7OzjQ1NaWF\nhQUNDQ0pGo02rO/+/l7hcFjRaFSrq6vNNRwAvsHIIAC0wOPjo4wxenp6UqFQ0OnpqWNc/QkHFxcX\nury8lM/nUzAYVC6X+zSNXK1WlUqltLKyovX19V99BgB2YmQQAFrA4/Eon8/r6upKR0dHisVi394z\nPj6u/v5+uVwuBQIB3dzcfIpxuVyanp7W4eGhbm9vf6HlAGxHMggALTYxMaFisahisfhlXFdX18dn\nt9utt7c3x7hIJKJkMqlwOKyHh4eWthUASAYBoMWur6/1/v4ur9fbsjo3NjYUCoU0Pz/v+DYzAPwv\nkkEA+IH6tX5OamsGjTGKRCLKZrOO99SX/Xu90XfUynd2duT3+xWLxZp6oQUAvuKq8o8CAABgLUYG\nAQAALMbWMgDwQ6VSSTMzM5/KT05OGu4rCADtjmliAAAAizFNDAAAYDGSQQAAAIuRDAIAAFiMZBAA\nAMBiJIMAAAAW+wOSIFozXQMAEQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x113993550>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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NGzfq0KFDqqio0JtvvqkxY8Z09qkBAAD0eB16ZTA9PV3vvvuuDhw4oOjoaD3+\n+ONauHCh0tLSlJ2drZiYGK1atUqSFB8fr7S0NMXHx8vf31/Lli2zmpCXLVumadOmqaqqSuPGjdPY\nsWMlSTNnztSUKVMUGxur8PBw5ebmSpLCwsL0yCOPaMSIEZKkxx57TCEhIR15agAAAL2SwzSO52IT\nDodDNjtlwKca/qlrbLJs/KzxuetMbb3mZ7es4TH1BPRO7eUfZiABAACwMcIgAACAjREGAQAAbIww\nCAAAYGOEQQAAABsjDAIAANgYYRAAAMDGCIMAAAA2RhgEAACwMcIgAACAjREGAfiAvxwOh5zOsK4u\nCADgFP5dXQAAdlArycjrdXR1QQAAp+DKIADgG1zBBeyIK4MAgG9wBRewI64MAkAP5HSGyeFwyOEg\nuAH4bgiDANADeb0Vksw3XwDw7REGAQAAbIwwCAAAYGOEQQAAABsjDAIAANgYYRAAAMDGCIMAAAA2\nRhgEAACwMcIgAACAjREGAQAAbIwwCAAAYGOEQQAAABsjDALwIX85HA45HA45nWFdXRgAgCT/ri4A\nADuplWQkSV6vo2uLAgCQxJVBAAAAWyMMAgAA2BhhEAAAwMYIgwDQQzidYVYHHADoKIRBAOghvN4K\nNXTAMV1dFAC9CGEQAADAxgiDAAAANkYYBPCdcS8bAPRchEEA3xn3sgFAz0UYBAAAsDHCIAAAgI0R\nBgF0EX/rPkOnM6yrCwMAtuWzMJiZmakhQ4Zo6NChuv3221VdXa3y8nKlpKQoLi5Oo0eP1qFDh5pt\nHxsbq0GDBmnjxo3W8i1btmjo0KGKjY3VnDlzrOXV1dWaNGmSYmNjNXLkSO3Zs8dXpwbgW6lV432G\nDfccAgC6gk/C4O7du/XCCy9o69at+r//+z/V1dUpNzdXWVlZSklJ0Y4dO5ScnKysrCxJUmFhoVau\nXKnCwkLl5eVp9uzZMqbhxvRZs2YpOztbbrdbbrdbeXl5kqTs7GyFh4fL7XZr3rx5WrBggS9ODQAA\noEfzSRh0Op0KCAjQsWPHVFtbq2PHjmnAgAFat26dMjIyJEkZGRlas2aNJGnt2rVKT09XQECAYmJi\nNHDgQBUUFKi0tFRer1eJiYmSpKlTp1r7ND3WxIkTtWnTJl+cGgAAQI/m74snCQsL0/33368LL7xQ\n5513nsaMGaOUlBSVlZUpIiJCkhQREaGysjJJUklJiUaOHGnt73K55PF4FBAQIJfLZS2PioqSx+OR\nJHk8HkVkJxrlAAAdCElEQVRHRzeclL+/goODVV5errCwlvciLVq0yHqclJSkpKSkjj5lAACALpOf\nn6/8/Pwz2tYnYXDnzp36/e9/r927dys4OFi33XabXnnllWbb+HLA2qZhEED34XSGWfcPBgWF6vDh\n8i4uEQD0TKde7Fq8eHGb2/qkmfiTTz7R1VdfrfDwcPn7++uWW27RRx99pMjISO3bt0+SVFpaqn79\n+klquOJXVFRk7V9cXCyXy6WoqCgVFxe3WN64z969eyVJtbW1qqysbPWqIIDuq+ng1XQqAQDf8EkY\nHDRokD7++GNVVVXJGKO33npL8fHxGj9+vHJyciRJOTk5mjBhgiQpNTVVubm5qqmp0a5du+R2u5WY\nmKjIyEg5nU4VFBTIGKMVK1bopptusvZpPNbq1auVnJzsi1MDAADo0XzSTDxs2DBNnTpVV1xxhfz8\n/PSjH/1Id955p7xer9LS0pSdna2YmBitWrVKkhQfH6+0tDTFx8fL399fy5Yts5qQly1bpmnTpqmq\nqkrjxo3T2LFjJUkzZ87UlClTFBsbq/DwcOXm5vri1AAAAHo0h2kcs8UmHA6HbHbKQKdr+Get8XPV\n+PhMlzU8Nsa0OA6f1eZaf52bPv7u9dC4ntce6F3ayz/MQAIAAGBjhEEA6OaczjCfjbYAwH4IgwC6\nAX/CTjtO9rIGgI5HGATQDTTOUwwA8DXCIAAAgI0RBgEAAGyMMAgAAGBj7YbB1mbxYGYPAACA3qPV\nGUiqqqp07Ngx7d+/X+XlJyeKP3z4sDwej88KBwAAgM7Vahh87rnntGTJEpWUlOjyyy+3lgcFBeme\ne+7xWeEAAADQudqdjm7p0qW69957fVmeTsd0dEDH64jp6Fpbz2e1wcnXl+noAHw77eWf085N/OGH\nH2r37t2qra21lk2dOrVjS+hDhEGg4xEGOxdhEMB31V7+abWZuNEdd9yhr776SsOHD9f3vvc9a3lP\nDoMAOo7TGfbN7BgAgJ6q3SuDgwcPVmFhYa+aJoorg0DHaf+K1Xe9MhggqVZBQaE6fPhkRzY74sog\ngO+qvfzT7tAyl156qUpLSzulUADQvoYp6rjyCACdq91m4v379ys+Pl6JiYk699xzJTUky3Xr1vmk\ncAAAAOhc7YbBRYsW+agYAAAA6Aqn7U3c23DPINBxOveeQe5fa8Q9gwC+q2/dmzgwMNDqPFJTU6MT\nJ04oMDBQhw8f7vhSAgAAwOfaDYNHjhyxHtfX12vdunX6+OOPO71QAGB3DNsDwFfOupl4+PDh+vTT\nTzurPJ2OZmKg49BM3HnOfCDv062nmRjAd2gmfv31163H9fX12rJli84777yOLR0AAAC6TLth8K9/\n/at1z6C/v79iYmK0du1anxQMAAAAnY/exAC+NZqJOw/NxAA60reegaSoqEg333yzLrjgAl1wwQWa\nOHGiiouLO6WQAIDuwl8Oh0MOh0NOZ1hXFwZAJ2s3DE6fPl2pqakqKSlRSUmJxo8fr+nTp/uqbACA\nLtEwFSDTAQL20G4z8bBhw/TZZ5+ddllPQjMx0HFoJu48Xd1M3HSZHV9/oLf51s3E4eHhWrFiherq\n6lRbW6tXXnlFffv27ZRCAgAAwPfaDYMvvfSSVq1apcjISPXv31+vvfaaXnrpJV+VDQAAAJ2s3aFl\nHn30Ub388ssKDQ2VJJWXl+uXv/ylXnzxRZ8UDgAAAJ2r3SuDn332mRUEJSksLExbt27t9EIBgF05\nnWHW+K4A4AvthkFjjMrLy62fy8vLVVdX1+mFAgC7aui9S4cNAL7TbjPx/fffr6uuukppaWkyxui1\n117Tr371K1+VDQAAAJ3stDOQbN++XW+//bYcDodGjRql+Ph4X5WtUzC0DNBxGFqm4539a3q69Qwt\nA6D9/MN0dAC+NcJgxyMMAugM33qcQQAAAPRuhEEAAAAbIwwC6Ob85XA45HA45HSGdXVhAKDXIQwC\n6OZq1XD/mvlm2JXep3FsQcYXBNAVCIMA0MVOji1IRw0AvuezMHjo0CHdeuutGjx4sOLj41VQUKDy\n8nKlpKQoLi5Oo0eP1qFDh6ztMzMzFRsbq0GDBmnjxo3W8i1btmjo0KGKjY3VnDlzrOXV1dWaNGmS\nYmNjNXLkSO3Zs8dXpwYAANBj+SwMzpkzR+PGjdPnn3+uf/7znxo0aJCysrKUkpKiHTt2KDk5WVlZ\nWZKkwsJCrVy5UoWFhcrLy9Ps2bOt7tCzZs1Sdna23G633G638vLyJEnZ2dkKDw+X2+3WvHnztGDB\nAl+dGgAAQI/lkzBYWVmp9957TzNmzJAk+fv7Kzg4WOvWrVNGRoYkKSMjQ2vWrJEkrV27Vunp6QoI\nCFBMTIwGDhyogoIClZaWyuv1KjExUZI0depUa5+mx5o4caI2bdrki1MDAADo0XwSBnft2qULLrhA\n06dP149+9CP94he/0NGjR1VWVqaIiAhJUkREhMrKyiRJJSUlcrlc1v4ul0sej6fF8qioKHk8HkmS\nx+NRdHS0pJNhs+m8ygAAAGip3bmJO0ptba22bt2qZ555RiNGjNDcuXOtJuFGvuxJt2jRIutxUlKS\nkpKSfPK8AAAAvpCfn6/8/Pwz2tYnYdDlcsnlcmnEiBGSpFtvvVWZmZmKjIzUvn37FBkZqdLSUvXr\n109SwxW/oqIia//i4mK5XC5FRUWpuLi4xfLGffbu3asBAwaotrZWlZWVCgtrfUyypmEQAACgtzn1\nYtfixYvb3NYnzcSRkZGKjo7Wjh07JElvvfWWhgwZovHjxysnJ0eSlJOTowkTJkiSUlNTlZubq5qa\nGu3atUtut1uJiYmKjIyU0+lUQUGBjDFasWKFbrrpJmufxmOtXr1aycnJvjg1AACAHs1hfDQD+Wef\nfaaf//znqqmp0SWXXKKXXnpJdXV1SktL0969exUTE6NVq1YpJCREkvTEE0/oxRdflL+/v5YsWaIx\nY8ZIahhaZtq0aaqqqtK4ceO0dOlSSQ1Dy0yZMkXbtm1TeHi4cnNzFRMT0/KE25moGcDZabi1w0hq\n/K4mj8902dnt0xs/vydfR6mzX79vc5ze+JoDdtNe/vFZGOwuCINAx/F9GAxQw4wkUlBQqA4f7tmd\nxJzOsCazqhAGAXSe9vKPT+4ZBICO0Tg1neT19vyp207OPNLzzwVAz8V0dAAAADZGGAQAH3I6w3w6\nlBYAnA7NxADQyZrfGyg1v0cPALoWVwYBoJOdvDeQjhgAuh/CIICz0n2aOf3lcDjkdLY+uDwA4MzQ\nTAzgrJy8yiV1bTNnQ8/i3tCrGAC6ElcGAQAAbIwwCACdpLFJHQC6M8IgAHSS5k3qANA9EQYBAABs\njDAIAABgY4RBAOhA3WfoHQA4M4RBAD2cvxW+OmrMwcZA922OxwDTAHoawiCAHq5hvMGGMQcrTrfx\nGWkMdF6vt8ODJgB0N4RBAGhT+0GzaZMwYRFAT0UYBNCLdOYUdS2P3bRJuKOuSgKArzEdHYBepDOn\nqGs8dkAbnUP86TQCoEfiyiAAnJWTTcetLweAnoUwCAAAYGOEQQC90NkPN8P4gADsinsGAfRCJ5ts\nz/T+webzCBMIAdgHVwYBAAB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       "text": [
        "<matplotlib.figure.Figure at 0x113f4d890>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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79+5VZGSkHn74YS1evFgpKSnKyspSVFSUVq1aJUmKjY1VSkqKYmNj5evrq+XL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\nEAAAwMYIgwAAADZGGAQAALA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       "text": [
        "<matplotlib.figure.Figure at 0x113f64e90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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jcs8995hf/epXpry83OTl5ZnAwECzcePGFl/jN954w1x88cUmNzfXHDt2zMydO9dcffXV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\nMQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x11501aa50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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1VX5+vowxWr58uSZNmmTVaWlr9erViouLkyQlJCQoNzdX1dXVqqqq0saNGzVu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\nABiMZBAAAMBgHzTH3+SK9aWiAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x11503cc10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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yZFmWoqKi9OKLLyoqKkpjx47VrFmzNGbMGCUnJ+vrr79WcnKy3n77bb333nta\nuXKlioqKNGTIEG3fvl2SdN1112n79u3y9fV1P2AGkLRbPwwakZpn4AcDSAAAbcMlDyBpKPTV5+ab\nb1Z2drZb2bp167RlyxZJUmJiomJiYpSUlKS1a9dq8uTJ8vLyUmhoqHr37q1t27apV69eKikpUVRU\nlKSqAStr1qzRmDFjtG7dOi1atEiSNHHiRHvew40bNyouLs4Of7GxsUpNTdWkSZMu+hgAAACcosEw\n6O3tbV9yKy8v15kzZ+Tt7a3vv//+ol6ksLBQAQEBkqSAgAAVFhZKkvLz8xUdHW2vFxwcrLy8PHl5\neSk4ONguDwoKsp98kpeXp5CQkKrKe3rKx8dHR48eVX5+vts21fsCAABA/RoMgydOnLB/P3v2rNat\nW6fPPvvsR71ga7ina+HChfbvMTExl9QDCgAA0Fqlp6fXe7vfuRoMgzV5eHho/PjxWrhwoZKSki6q\nQgEBATp06JB69OihgoICde/eXVJVj19OTo69Xm5uroKDgxUUFKTc3Nxa5dXbHDx4UD179lRFRYWO\nHz8uf39/BQUFuR10Tk6ORowYUWd9aoZBAACA9ubczq7qW+zq0uBo4tWrV9s/77zzjubPn6+OHTte\ndIXi4+OVkpIiqWrE7/jx4+3ylStXqry8XPv371dWVpaioqLUo0cPuVwubdu2TcYYrVixQrfddlut\nfb377rsaOXKkJCkuLk5paWk6duyYiouL9f7772v06NEXXVcAAAAnabBn8L//+7/tS7qenp4KDQ3V\n2rVrG9zh5MmTtWXLFh05ckQhISF65plnNH/+fCUkJGjZsmUKDQ3VqlWrJEkRERFKSEhQRESEPD09\nlZycbL9ecnKypk2bptLSUo0dO1ZjxoyRJM2cOVNTpkxRWFiY/P39tXLlSkmSn5+fnnrqKQ0ZMkSS\ntGDBglojiQEAAODuvM8mbm+YWqb9YmoZAADq1lD+afAycU5OjiZMmKBu3bqpW7dumjhxotu9fAAA\nAGjbGgyD06dPV3x8vPLz85Wfn69x48Zp+vTpzVU3AAAANLEGLxMPHDhQX3755XnL2hIuE7dfXCYG\nAKBul3yZ2N/fXytWrFBlZaUqKir0xhtvqGvXrk1SSQAAADS/BnsGDxw4oIceesieaPqGG27QCy+8\noCuvvLLZKtjY6Blsv+gZBACgbpf8bOKnn35ay5cvV5cuXSRJRUVFeuyxx/T66683fi0BAADQ7Bq8\nTPzll19Z+1J2AAARqklEQVTaQVCqmsvvn//8Z5NXCgAAAM2jwTBojFFRUZH9d1FRkSorK5u8UgAA\nAGgeDV4mnjNnjq6//nolJCTIGKN33nlH/+///b/mqhsAAACa2HmfQLJz505t3rxZlmVpxIgRioiI\naK66NQkGkLRfDCABAKBuDeUfHkeHdoMwCABA3S55nkEAAAC0b4RBAAAAByMMAgAAOBhhEAAAwMEI\ngwAAAA5GGAQAAHAwwiAAAICDEQYBAAAcjDAIAADgYIRBAAAAByMMAgAAOBhhEAAAwMEIgwAAAA5G\nGAQAAHAwwiAAAICDEQYBAAAcjDAIAADgYIRBAAAAByMMAgAAOBhhEAAAwMEIg2jzXC4/WZbV0tX4\nkTxlWZZcLr+WrggAwGEsY4xp6Uo0J8uy5LBDbveqgqCRVP1f1fj9QssuZZvG2o/7cs5PAEBjayj/\n0DMIAADgYIRBAAAAByMMAgAAOBhhEAAAwMEIgwAAAA5GGAQAAHAwwiAAAICDEQYBAAAcjDAIAADg\nYIRBAAAAByMMAgAAOBhhEAAAwMEIgwAAAA5GGAQAAHAwwiAAAICDEQYBAAAcjDAIAADgYIRBAAAA\nByMMAgAAOBhhEAAAwMEIgwAAAA5GGAQAAHAwwiAAAICDEQYBAAAcjDAIAADgYIRBoFXxlGVZsixL\nLpdfS1cGAOAAni1dAQA1VUgykqSSEqtlqwIAcAR6BgEAAByMMIg2yeXysy+nAgCAS0cYRJtUUlKs\nqsuppqWrAgBAm0YYBAAAcDDCIAAAgIMRBgEAAByMMAgAAOBghEEAAAAHIwwCAAA4GGEQAADAwQiD\nAAAADkYYBAAAcDDCIAAAgIMRBgEAAByMMAgAAOBghEEAAAAHIwwCAAA4GGEQAADAwZo1DIaGhmrA\ngAGKjIxUVFSUJKmoqEixsbEKDw9XXFycjh07Zq+/ePFihYWFqU+fPkpLS7PLt2/frv79+yssLEwP\nP/ywXV5WVqY777xTYWFhio6O1oEDB5rv4AAAANqgZg2DlmUpPT1dO3bsUEZGhiQpKSlJsbGx2rt3\nr0aOHKmkpCRJUmZmpt5++21lZmYqNTVVDzzwgIwxkqT7779fy5YtU1ZWlrKyspSamipJWrZsmfz9\n/ZWVlaVHHnlE8+bNa87DAwAAaHOa/TJxdaCrtm7dOiUmJkqSEhMTtWbNGknS2rVrNXnyZHl5eSk0\nNFS9e/fWtm3bVFBQoJKSErtncerUqfY2Nfc1ceJEbdq0qbkOCwAAoE3ybM4XsyxLo0aNUocOHfSr\nX/1Kv/zlL1VYWKiAgABJUkBAgAoLCyVJ+fn5io6OtrcNDg5WXl6evLy8FBwcbJcHBQUpLy9PkpSX\nl6eQkBBJkqenp3x8fFRUVCQ/Pz+3eixcuND+PSYmRjExMU1xuGhkLpefSkqKW7oaAAC0eunp6UpP\nT7+gdZs1DG7dulWBgYE6fPiwYmNj1adPH7fllmXJsqwmr0fNMIi2oyoIVvcsN/15AgBAW3VuZ9ei\nRYvqXbdZLxMHBgZKkrp166YJEyYoIyNDAQEBOnTokCSpoKBA3bt3l1TV45eTk2Nvm5ubq+DgYAUF\nBSk3N7dWefU2Bw8elCRVVFTo+PHjtXoFAQAA8INmC4OnTp1SSUmJJOnkyZNKS0tT//79FR8fr5SU\nFElSSkqKxo8fL0mKj4/XypUrVV5erv379ysrK0tRUVHq0aOHXC6Xtm3bJmOMVqxYodtuu83epnpf\n7777rkaOHNlchwc0AU9ZliWXi3/QAACaTrNdJi4sLNSECRMkVfXa3X333YqLi9PgwYOVkJCgZcuW\nKTQ0VKtWrZIkRUREKCEhQREREfL09FRycrJ9CTk5OVnTpk1TaWmpxo4dqzFjxkiSZs6cqSlTpigs\nLEz+/v5auXJlcx0e0AQqJBmVlHBJHADQdCxz7vDeds6yrFojmtE2VP1joOY9g+f+/mPKWnI/59+G\ncxYA8GM0lH94AgkAAICDEQYBAAAcjDAIAADgYIRBAAAAByMMAgAAOBhhEAAAwMEIg2j1XC6/ZnlM\nIQAATkQYRKvn/kxiAADQmAiDAAAADkYYBAAAcDDCIAAAgIMRBoFWz1OWZcmyLLlcfi1dGQBAO+PZ\n0hUAcD4Vqh5AU1LCqGoAQOOiZxAAAMDBCIMAAAAORhgEAABwMMIgAACAgxEGAQAAHIwwCAAA4GCE\nQQAAAAcjDAIAADgYYRAAAMDBCIMAAAAORhgEAABwMMIg0KZ4yrIsuVx+LV0RAEA74dnSFQBwMSok\nGZWUWC1dEQBAO0HPIAAAgIMRBgEAAByMMAgAAOBghEEAAAAHIwwCAAA4GGEQAADAwQiDAAAADkYY\nRKvkcvnJsixZFvPpAQDQlAiDaJVKSoolmX/9AACApkIYBAAAcDDCINAmedqX0XlOMQDgx+DZxECb\nVPWMYkk8pxgA8KPQMwgAAOBghEEAAAAHIwwCAAA4GGEQAADAwQiDAAAADkYYBAAAcDDCIAAAgIMR\nBgEAAByMMAi0eTyNBABw6XgCCdDm8TQSAMClo2cQAADAwQiDAAAADkYYBAAAcDDCIAAAgIMRBgEA\nAByMMAi0K55MMQMAuChMLQO0K1XTzDDFDADgQtEzCAAA4GCEQbQqLpefLIteLQAAmgthEK1KSUmx\nqp+mAQAAmh5hEAAAwMEIg2hy1Zd+GeUKAEDrw2hiNLmal34Z5QoAQOtCzyDQLnnSGwsAuCCEQTQz\nJkVuHlXzDVbNOVjc0pUBALRiXCZGM2NSZAAAWhN6BtFkmDMQAIDWjzCIJsOcgQAAtH6EQTSqmtPI\nNOU2AACgcXDPIBqFy+VXY6BCdW/ghYU79x5EAiEAAM2JMIhG8UOgu9Aw50lPIAAArQCXidFCfpj6\nBAAAtBzCIC4Z9/oBAND2EQZxyX64NEzvHgAAbRVhEGj3eOoLAKB+DCAB2j2e+gIAqB89gwAAAA5G\nGMRFYdAIAADtC2EQF4VBIwAAtC/tLgympqaqT58+CgsL03PPPdfS1WkR6enpjb7P6h5BNLf0RtyX\np92ry2CS5tUUn0k0P9qxfaAda2tXYbCyslIPPfSQUlNTlZmZqbfeeku7du1q6Wo1u6Y40d0fGYfm\nk96I+/phou8fHh2I5sCXT/tAO7YPtGNt7SoMZmRkqHfv3goNDZWXl5cmTZqktWvXtnS12izuD2zP\nmG4GAFClXYXBvLw8hYSE2H8HBwcrLy+vBWvUtnF/YHtWPd0MPYQA4HSWMabdfNOvXr1aqampeu21\n1yRJb7zxhrZt26YXXnjBXodeLgAA4ET1Rb52Nel0UFCQcnJy7L9zcnIUHBzstk47yr4AAAA/Wru6\nTDx48GBlZWUpOztb5eXlevvttxUfH9/S1QIAAGi12lXPoKenp1588UWNHj1alZWVmjlzpvr27dvS\n1QIAAGi12lXPoCTdeuut2rNnj7755hs98cQTLV2dRpeTk6Phw4erX79+uvbaa7V06VK35X/4wx/k\n4eGhoqIiu2zx4sUKCwtTnz59lJaW1txVRh0aascXXnhBffv21bXXXqt58+bZ5bRj61NfO2ZkZCgq\nKkqRkZEaMmSI/vGPf9jb0I6tz+nTpzV06FANGjRIERER9ndHUVGRYmNjFR4erri4OB07dszehnZs\nfeprx7lz56pv374aOHCgbr/9dh0/ftzehnb8F4M2paCgwOzYscMYY0xJSYkJDw83mZmZxhhjDh48\naEaPHm1CQ0PN0aNHjTHG7Ny50wwcONCUl5eb/fv3m2uuucZUVla2WP1Rpb523Lx5sxk1apQpLy83\nxhjz3XffGWNox9aqvna85ZZbTGpqqjHGmPXr15uYmBhjDO3Ymp08edIYY8yZM2fM0KFDzccff2zm\nzp1rnnvuOWOMMUlJSWbevHnGGNqxNaurHdPS0uz2mTdvHu1Yh3bXM9je9ejRQ4MGDZIkeXt7q2/f\nvsrPz5ckPfroo/r973/vtv7atWs1efJkeXl5KTQ0VL1791ZGRkaz1xvu6mrHvLw8vfzyy3riiSfk\n5eUlSerWrZsk2rG1qq8dAwMD7d6HY8eOKSgoSBLt2JpdccUVkqTy8nJVVlaqS5cuWrdunRITEyVJ\niYmJWrNmjSTasTU7tx39/PwUGxsrD4+quDN06FDl5uZKoh1rIgy2YdnZ2dqxY4eGDh2qtWvXKjg4\nWAMGDHBbJz8/321ENXMvtj4123Hv3r366KOPFB0drZiYGH3++eeSaMe2oLodo6OjlZSUpDlz5ujK\nK6/U3LlztXjxYkm0Y2t29uxZDRo0SAEBAfal/8LCQgUEBEiSAgICVFhYKIl2bM3ObceIiAi35a+/\n/rrGjh0riXasiTDYRp04cUJ33HGHlixZIg8PDz377LNatGiRvdw0MIUOcy22HjXbsXPnzqqoqFBx\ncbE+++wz/ed//qcSEhLq3ZZ2bD1qtqO3t7dmzpyppUuX6uDBg3r++ec1Y8aMerelHVsHDw8PffHF\nF8rNzdVHH32kDz/80G35+Z7GRDu2Due2Y81Hz/3ud7/TZZddprvuuqve7Z3ajoTBNujMmTOaOHGi\n7rnnHo0fP1779u1Tdna2Bg4cqKuuukq5ubm67rrrVFhYWGvuxdzcXPuSFVrWue0oVf3L9Pbbb5ck\nDRkyRB4eHjpy5Ajt2IrV1Y4ZGRmaMGGCJOmOO+6wLz3Rjq2fj4+P/v3f/13bt29XQECADh06JEkq\nKChQ9+7dJdGObUF1O1ZfXfnLX/6i9evX669//au9Du1YQ0vftIiLc/bsWTNlyhQze/bsetepawBJ\nWVmZ+fbbb83VV19tzp4921zVRT3qa8eXX37ZPP3008YYY/bs2WNCQkKMMbRja1VfO0ZGRpr09HRj\njDEffPCBGTx4sDGGdmytDh8+bIqLi40xxpw6dcrcfPPN5oMPPjBz5841SUlJxhhjFi9eXGvgAe3Y\nutTXjhs2bDARERHm8OHDbuvTjj9oV/MMOsHWrVv1xhtvaMCAAYqMjJQkPfvss7r11lvtdWp2c0dE\nRCghIUERERHy9PRUcnKyY7vBW5O62nHx4sWaMWOGZsyYof79++uyyy7T8uXLJdGOrVV9n8dXX31V\nDz74oMrKytSxY0e9+uqrkmjH1qqgoECJiYk6e/aszp49qylTpmjkyJGKjIxUQkKCli1bptDQUK1a\ntUoS7dha1deOYWFhKi8vV2xsrCTp+uuvV3JyMu1YQ7t6NjEAAAAuDvcMAgAAOBhhEAAAwMEIgwAA\nAA5GGAQAAHAwwiAAAICDEQYBoB5Hjx5VZGSkIiMjFRgYqODgYEVGRurf/u3fdObMmVrrd+jQQZGR\nkRo0aJCuu+46ffrpp3Xu98Ybb7yoekybNk2rV6+WJBUVFSkyMlIpKSkXf0AAUAfmGQSAevj7+2vH\njh2SpEWLFqlz58569NFH613/iiuusNdPS0vTE0884fY4rGpbt269qHpUPwrt+PHjGj16tO677z4l\nJiZe1D4AoD70DALABbqYaVmPHz8uPz+/Opd5e3tLktLT0xUTE6Of//zn6tu3r+65555691dSUqKx\nY8fqnnvu0a9+9auLqzgANICeQQBoJKWlpYqMjNTp06dVUFCgzZs317lezaccfPHFF8rMzFRgYKBu\nvPFGbd26tdZlZGOMHn30Uf3yl7/Uww8/3KTHAMB56BkEgEbSsWNH7dixQ7t27VJqaqqmTp163m2i\noqLUs2dPWZalQYMGKTs7u9Y6lmVpxIgRWrNmjQ4fPtwENQfgZIRBAGgC0dHROnLkiI4cOdLgepdf\nfrn9e4cOHVRRUVHnepMmTdJ9992nsWPH6sSJE41aVwDORhgEgCawe/duVVZWyt/fv9H2OXv2bI0c\nOVK33357naOZAeBSEAYB4ALVvNevLtX3DEZGRmrSpElavnx5ndvULDt3eX2vUV2elJSk4OBgTZ06\n9aIGtABAfSzD/00AAAAci55BAAAAB2NqGQC4CEePHtWoUaNqlW/atKneeQUBoDXjMjEAAICDcZkY\nAADAwQiDAAAADkYYBAAAcDDCIAAAgIMRBgEAABzs/wOuRVEfXde4kAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1153e4550>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Mm2++6dWuK664wliWZXx8fOz/evZ71qxZJiwszPj7+5uYmBjz7LPPmjNnzhhjjPnyyy/N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\nQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x115809710>"
       ]
      }
     ],
     "prompt_number": 6
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "reload(l)\n",
      "reload(raster)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 59,
       "text": [
        "<module 'pygaarst.raster' from 'pygaarst/raster.py'>"
       ]
      }
     ],
     "prompt_number": 59
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "l201xdirs = [\n",
      "\"2010-09-13/LE70700152010256EDC00\",\n",
      "\"2010-09-14/LT50690152010257GLC00\",\n",
      "\"2010-09-22/LE70690152010265EDC00\",\n",
      "\"2011-05-12/LT50690152011132GLC00\",\n",
      "\"2011-05-27/LE70700152011147EDC00\",\n",
      "\"2011-07-06/LT50700152011187GLC00\",\n",
      "\"2012-06-23/LE70690152012175EDC00\",\n",
      "\"2012-07-09/LE70690152012191EDC00\",\n",
      "\"2012-07-25/LE70690152012207EDC00\",\n",
      "\"2012-08-10/LE70690152012223EDC00\",\n",
      "\"2013-05-24/LC80700152013144LGN00\",\n",
      "\"2013-06-02/LC80690152013153LGN00\",\n",
      "\"2013-06-09/LC80700152013160LGN00\",\n",
      "\"2013-06-18/LC80690152013169LGN00\",\n",
      "\"2013-06-25/LC80700152013176LGN00\",\n",
      "\"2013-07-04/LC80690152013185LGN00\",\n",
      "\"2013-08-06/LC81492292013218LGN00\",\n",
      "\"2013-08-12/LC80700152013224LGN00\",\n",
      "\"2013-08-21/LC80690152013233LGN00\",\n",
      "\"2013-10-24/LC80690152013297LGN00\",\n",
      "\"2013-10-31/LC80700152013304LGN00\",\n",
      "]\n",
      "\n",
      "bins = range(230, 321)\n",
      "\n",
      "for dir in l201xdirs:\n",
      "    datapath = os.path.join(basedir, dir)\n",
      "    scene = raster.Landsatscene(datapath)\n",
      "    scene.infix = '_CLIP'\n",
      "    scdate =  datetime.datetime.strftime(scene.meta['PRODUCT_METADATA'][l.lskeyselect(scene.newmetaformat, 'DATE_ACQUIRED')], '%Y-%m-%d')\n",
      "    if scene.spacecraft == 'L7':\n",
      "        a = scene.band6H\n",
      "    elif scene.spacecraft == 'L8':\n",
      "        a = scene.band11\n",
      "    else:\n",
      "        a = scene.band6\n",
      "    try:\n",
      "        scenename = scene.meta['METADATA_FILE_INFO']['LANDSAT_SCENE_ID']\n",
      "    except KeyError: \n",
      "        scenename = os.path.basename(scene.dirname)\n",
      "    fig = plt.figure(figsize=(10, 6))\n",
      "    axes = fig.add_axes([0.1, 0.1, 0.8, 0.8])\n",
      "    axes.set_xlim(230, 331)\n",
      "    axes.set_xlabel('T_B in K')\n",
      "    axes.set_ylabel('count')\n",
      "    axes.set_title(\"%s on %s, B%s\" % (scenename, scdate, a.band));\n",
      "    freq, bins, patches = plt.hist(a.tKelvin.flatten(), bins=bins)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:root:Loading Landsat scene /Volumes/SCIENCE/Fire/DATA_BY_AREA/HEALY_FIRES/Landsat/2010-09-13/LE70700152010256EDC00\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:root:starting\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "WARNING:root:Found end before finishing file parsing.\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:root:Opening /Volumes/SCIENCE/Fire/DATA_BY_AREA/HEALY_FIRES/Landsat/2010-09-13/LE70700152010256EDC00/LE70700152010256EDC00_B6_VCID_2_CLIP.TIF\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:root:Loading Landsat scene /Volumes/SCIENCE/Fire/DATA_BY_AREA/HEALY_FIRES/Landsat/2010-09-14/LT50690152010257GLC00\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:root:starting\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "WARNING:root:Found end before finishing file parsing.\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        " band 6h\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:root:Opening /Volumes/SCIENCE/Fire/DATA_BY_AREA/HEALY_FIRES/Landsat/2010-09-14/LT50690152010257GLC00/L5069015_01520100914_B60_CLIP.TIF\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
       "text": [
        "INFO:root:Loading Landsat scene /Volumes/SCIENCE/Fire/DATA_BY_AREA/HEALY_FIRES/Landsat/2010-09-22/LE70690152010265EDC00\n"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stderr",
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5Vb+iokKRkZGKiIhQRUVFu/K2OmVlZRowYICam5u1d+9ehYaGKiIiwmfQ5eXl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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x117f39a10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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sbNTXvvY1Pf300zp+/LhSUlKUnZ2tiIgIrVu3TpIUHR2tlJQURUdHy9/fX1lZ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\nRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x115b81790>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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oAAAA3UqnhMHVq1crKirq33f0l1JTUxUfH6/du3crLi5OqampkqT8/Hy9+OKL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\nH0ENT/wAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x115b81690>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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dXa2qqipt375dkydP9uXmAQAA9Do+HRmsqKhQRkaGmpqa1NTUpPT0dCUmJmrW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\nRjEIAADgYf8AlWT4cUJ+E2YAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x115ecc510>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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JUmBgoJYsWWKuSi5dulQBAQHdMUQAAIBewWZ03MfFQmw2m3rLsNuDs7ux9J4x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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1158d6690>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Pnz5auHChxo4dK0latGiRQkNDfbl7AAAA3Y7DtNzLxUYcDodsuNsA0OGa/8A/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\nEAAgY8IgAEDGPgD/WG1CHc2KdgAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1163b3a10>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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UU091Wtna3R/jM8tbWlq0f/9+paam6p///KeWLVsmSUpLS1NgYKCSk5P1t7/9TW1tbaqu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\nAHgYxSAAAICHUQwCAAB42Ddrml+s7bG7BQAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x11533acd0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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ycnI87ten08RffPGFOQXc0tKinTt3Kjo6WocOHTL3eemllxQVFSVJSk5OVkFB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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10ffe8d50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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OHFBsbKxSU1MlSTk5OXrttdeUk5OjjIwMPfjggzKm6fTDwoULlZaWptzcXOXm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\nCAAAYGOEQQAAABsjDAIAANjY/wfX1iFF0p0OVwAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10ffe8150>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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JGj16tKqrq+Xv7y9J8vf3V3V1tSSpsrJSgYGB5rGBgYFyOBztygMCAuRwOCRJ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\nAsJRd97GqkPAAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1115e8bd0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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lXC6XEhISJEkzZ87U2rVrJUnr169XZmamJCktLU2bNm2SJG3cuFGpqakKDg5W\ncHCwUlJSPEIpAAAA3HXYMYNPPfWURowYoblz51ojdhUVFXI6ndY8TqdT5eXlHu2RkZEqLy+XJJWX\nlysqKkqS5Ovrq6CgIB08eLDFdQEAAKBlvh3xJPPmzdODDz4oSVqyZInuvfderVy5siOe2qulS5da\nPyclJSkpKanTagEAAGhrBQUFKigoOKd5OyQMDhgwwPr55z//uW688UZJp0f8SktLrWllZWVyOp2K\njIxUWVmZR3vTMnv37tXAgQPV2Nio2tpahYaGKjIy0m2jS0tLdf3113ut58wwCAD24SuHw+HRGhDQ\nV4cPV3dCPQDaS/PBruzs7Bbn7ZDdxJWVldbPf/zjH60zjSdPnqzVq1eroaFBu3btUklJiRISEhQe\nHq7AwEBt3bpVxhi99NJLuummm6xlcnNzJUlvvPGGkpOTJUmpqanKz8/XoUOHVFNTo7ffflsTJkzo\niM0DgG6iUZLxeLhcNZ1aFYDO1eYjgxkZGXrvvfd04MABRUVFKTs7WwUFBdq+fbscDocuu+wyPfvs\ns5KkuLg4paenKy4uTr6+vsrJybH+as3JydGsWbNUV1enSZMmaeLEiZKkuXPnasaMGYqJiVFoaKhW\nr14tSQoJCdGSJUs0evRoSdJDDz2k4ODgtt48AACAHsVhvJ3m24M5HA6vZzYD6L5O/xHZ/PfaW9v5\ntrfFOtpz3W1XH5+LQM/WWv7hDiQAAAA2RhgEAACwMcIgAACAjREGAQAAbIwwCAAAYGOEQQAAABsj\nDAIAANgYYRAAAMDGCIMAAAA2RhgEAACwMcIgAACAjREGAQAAbIwwCAAAYGOEQQAAABsjDAIAANgY\nYRAAAMDGCIMAAAA21moYTE5OPqc2AAAAdE++3hrr6up07Ngx7d+/X9XV1Vb74cOHVV5e3mHFAQAA\noH15DYPPPvusVqxYoYqKCl155ZVWe0BAgO66664OKw4AAADty2GMMS1NfPLJJzV//vyOrKfdORwO\ntbLJALohh8Mhqfnvtbe2821vi3W057rbrj4+F4GerbX802oYlKT/+7//0+7du9XY2Gi1zZw5s20r\n7ECEQaDnIQz+8/XxuQj0bK3lH6+7iZvcdttt+vbbbzVy5EhdcMEFVnt3DoMAAAD4h1bDYFFRkYqL\ni//+VzcAAAB6mlYvLXPFFVeosrKyo2oBAABAB2t1ZHD//v2Ki4tTQkKCLrroIkmn9zmvX7++Q4oD\nAABA+2ooeYi9AAAWEUlEQVQ1DC5durSDygAAAEBnOOvZxD0NZxMDPQ9nE//z9fG5CPRs3/tsYn9/\nf+vkkYaGBp04cUL+/v46fPhw21cJAACADtdqGDxy5Ij186lTp7R+/Xp99NFH7V4UAAAAOsZ57yYe\nOXKktm/f3l71tDt2EwM9D7uJ//n6+FwEerbvvZv4zTfftH4+deqUioqK1KtXr7atDgDQyXw9ricb\nENBXhw9Xd1I9ADpSq2HwT3/6k/UB4evrq+joaK1bt65DCgMAdJRGNR8xdLm42QBgF5xNDKDbYzdx\n+9THZyXQc7SWf1q9A0lpaammTp2q/v37q3///kpLS1NZWVm7FAkAAICO12oYnD17tiZPnqyKigpV\nVFToxhtv1OzZszuqNgAAALSzVncTjxgxQp999tlZ27oTdhMDPQ+7idunPj4rgZ7je+8mDg0N1Usv\nvaSTJ0+qsbFRL7/8svr169cuRQIAAKDjtToyuGfPHt11113WhaavuuoqPfXUU7rkkks6rMC2xsgg\n0PMwMtg+9fFZCfQc3/s6gw8++KBWrVqlvn37SpKqq6v1q1/9Si+88ELbVwkAAIAO1+pu4s8++8wK\ngpIUEhKiTz/9tN2LAgAAQMdoNQwaY1Rd/Y8r0FdXV+vkyZPtXhQAAAA6Rqu7ie+9916NHTtW6enp\nMsboD3/4g/7f//t/HVUbAAAA2tlZ70CyY8cObd68WQ6HQ9dff73i4uI6qrZ2wQkkQM/DCSTtUx+f\nlUDP0Vr+4XZ0ALo9wmD71MdnJdBzfO/rDAIAAKBnIwwCAADYGGEQAADAxgiDAAAANkYYBAAAsDHC\nIAAAgI0RBgEAAGyMMAgAAGBjhEEA3UZgYIgcDofHAwDw/bV6b2IA6Epcrhq1fAcNAMD3wcggAACA\njREGAQAAbIwwCAAAYGOEQQAAABsjDAIAANhYm4fBOXPmKCwsTMOGDbPaqqurlZKSotjYWKWmpurQ\noUPWtGXLlikmJkaDBw9Wfn6+1V5UVKRhw4YpJiZGd999t9VeX1+vadOmKSYmRomJidqzZ481LTc3\nV7GxsYqNjdWqVavaetMAAAB6nDYPg7Nnz1ZeXp5b2/Lly5WSkqKdO3cqOTlZy5cvlyQVFxfr9ddf\nV3FxsfLy8nTHHXfImNOXjZg3b55WrlypkpISlZSUWOtcuXKlQkNDVVJSonvuuUdZWVmSTgfOhx9+\nWIWFhSosLFR2drZb6AQAAICnNg+D1157rfr27evWtn79emVmZkqSMjMztXbtWknSunXrlJGRIT8/\nP0VHR2vQoEHaunWrKisr5XK5lJCQIEmaOXOmtcyZ60pLS9OmTZskSRs3blRqaqqCg4MVHByslJQU\nj1AKAAAAdx1yzGBVVZXCwsIkSWFhYaqqqpIkVVRUyOl0WvM5nU6Vl5d7tEdGRqq8vFySVF5erqio\nKEmSr6+vgoKCdPDgwRbXBQAAgJZ1+B1IusLto5YuXWr9nJSUpKSkpE6rBQAAoK0VFBSooKDgnObt\nkDAYFhamffv2KTw8XJWVlRowYICk0yN+paWl1nxlZWVyOp2KjIxUWVmZR3vTMnv37tXAgQPV2Nio\n2tpahYaGKjIy0m2jS0tLdf3113ut58wwCAAA0NM0H+zKzs5ucd4O2U08efJk5ebmSjp9xu+UKVOs\n9tWrV6uhoUG7du1SSUmJEhISFB4ersDAQG3dulXGGL300ku66aabPNb1xhtvKDk5WZKUmpqq/Px8\nHTp0SDU1NXr77bc1YcKEjtg8AACAbqvNRwYzMjL03nvv6cCBA4qKitLDDz+sxYsXKz09XStXrlR0\ndLTWrFkjSYqLi1N6erri4uLk6+urnJwcaxdyTk6OZs2apbq6Ok2aNEkTJ06UJM2dO1czZsxQTEyM\nQkNDtXr1aklSSEiIlixZotGjR0uSHnroIQUHB7f15gEAAPQoDtN0LRebcDgcstkmAz3G6T8Wvf3+\nems/n3nbcx3dtz4+K4Geo7X8wx1IAAAAbIwwCAAAYGOEQQAAABsjDAIAANgYYRAAAMDGCIMAAC98\nrTtGnfkIDAzp7MIAtLEOvx0dAKA7aJS3y9C4XJ17O1EAbY+RQQAAABsjDAIAANgYYRAAAMDGCIMA\nAAA2RhgEAACwMcIgAACAjREGAQAAbIwwCAAAYGOEQQAAABsjDAIAANgYYRAAAMDGCIMAAAA2RhgE\n0OUEBobI4XB4PAAAbc+3swsAgOZcrhpJxssUAiEAtDVGBgEAAGyMMAgAAGBjhEEAAAAbIwwCAADY\nGGEQAADAxgiDAAAANkYYBAAAsDHCIAAAgI0RBgEAAGyMMAgAAGBjhEEAbaql+woHBoZ0dmkAAC8c\nxhhvNwDtsRwOh2y2yUCHcjgcaum+wuf6u9faOs69vauso+fVx2co0P20ln8YGQQAALAxwiAAAICN\nEQYBAABsjDAIAABgY4RBAAAAGyMMAgAA2BhhEAAAwMYIgwA6lbeLVAMAOo5vZxcAwN5crhp5v+Ax\nAKAjMDIIoIP4er1NHbob7/3I7QaB7ouRQQAdpFEt3woN3Yf3fnS56Eegu2JkEAAAwMYIgwAAADZG\nGAQAALAxwiAAAICNEQYBAABsjDAIAABgY4RBAAAAGyMMAgAA2BhhEAAAwMYIgwAAADZGGAQAALAx\nwiAAAICNEQYBAABsjDAIAABgY4RBAAAAGyMMAgAA2FiHhsHo6GgNHz5c8fHxSkhIkCRVV1crJSVF\nsbGxSk1N1aFDh6z5ly1bppiYGA0ePFj5+flWe1FRkYYNG6aYmBjdfffdVnt9fb2mTZummJgYJSYm\nas+ePR23cQAAAN1Qh4ZBh8OhgoICbdu2TYWFhZKk5cuXKyUlRTt37lRycrKWL18uSSouLtbrr7+u\n4uJi5eXl6Y477pAxRpI0b948rVy5UiUlJSopKVFeXp4kaeXKlQoNDVVJSYnuueceZWVldeTmAQAA\ndDsdvpu4KdA1Wb9+vTIzMyVJmZmZWrt2rSRp3bp1ysjIkJ+fn6KjozVo0CBt3bpVlZWVcrlc1sji\nzJkzrWXOXFdaWpo2bdrUUZsFAADQLXX4yOD48eM1atQoPf/885KkqqoqhYWFSZLCwsJUVVUlSaqo\nqJDT6bSWdTqdKi8v92iPjIxUeXm5JKm8vFxRUVGSJF9fXwUFBam6urpDtg0AAKA78u3IJ9uyZYsi\nIiK0f/9+paSkaPDgwW7THQ6HHA5Hu9exdOlS6+ekpCQlJSW1+3MCAAB0lIKCAhUUFJzTvB0aBiMi\nIiRJ/fv319SpU1VYWKiwsDDt27dP4eHhqqys1IABAySdHvErLS21li0rK5PT6VRkZKTKyso82puW\n2bt3rwYOHKjGxkbV1tYqJCTEo44zwyAAAEBP03ywKzs7u8V5O2w38bFjx+RyuSRJR48eVX5+voYN\nG6bJkycrNzdXkpSbm6spU6ZIkiZPnqzVq1eroaFBu3btUklJiRISEhQeHq7AwEBt3bpVxhi99NJL\nuummm6xlmtb1xhtvKDk5uaM2DwAAoFvqsJHBqqoqTZ06VZLU2NioW2+9VampqRo1apTS09O1cuVK\nRUdHa82aNZKkuLg4paenKy4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       "text": [
        "<matplotlib.figure.Figure at 0x113593cd0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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jY7VlyxZr25IlSxQZGano6GhlZGRY5dnZ2erTp48iIyM1a9Ysq/zs2bOaMGGC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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x11581eb90>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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KTEzU5MmTNW7cOEk1vYGHDh2SJBUXF6tbt26Sanr88vPzrW0LCgrkcrkUHBys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\nwAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108b48d50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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86NAhGWO0aNEivf/++7r77rutGcK9e/dq69atHr/o77rrLn388cfaunWrVXa8MZk2bZp+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\nAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10ef17350>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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Hxys8PFyBgYEqKiqSMUbLly/XhAkTrDYtfa1atUqJiYmSpOTkZBUUFKi2tlY1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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x108f54290>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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YmBjdfvvtmjRpkiRp9erVio6O7stLAwAAGJYcZjA8xBdCDodjUDy3iIHX+Y+P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\nRK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1117e67d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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rz0lJSUpKSuqwvgAAALS1wsJCFRYWHlPddgmDf/zjH/X6669bp3Wlhhm/kpIS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\nIABAwoRBAICECYMAAAn7BCYLeuBcTvGjAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x115b37c50>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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hWr16tSQpMjJSycnJioyMlLe3tzIyMqxTyBkZGZo2bZrq6uo0YcIEjR8/XpI0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\nCACQMWEQACBjH8HWzud5zThyAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x1124d98d0>"
       ]
      },
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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SovDw8LrGe3vL399fBw4cUGlpqcc29XU1ZuHChdbX8fHxio+Pb5F9BvB9eMvh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\nFAAAAJ5a5ZrBvXv3KiQkRJIUEhKivXv