Regularization.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "execution_count": 40,
      "metadata": {
        "id": "qa-KHD8tp9Cv"
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy import optimize"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "csv_path = '/content/isolated.csv'"
      ],
      "metadata": {
        "id": "AafYOzyaq58m"
      },
      "execution_count": 91,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "np_path_XYs = np.genfromtxt(csv_path, delimiter=',')\n",
        "path_XYs = []\n",
        "for i in np.unique(np_path_XYs[:, 0]):\n",
        "    npXYs = np_path_XYs[np_path_XYs[:, 0] == i][:, 1:]\n",
        "    XYs = []\n",
        "    for j in np.unique(npXYs[:, 0]):\n",
        "        XY = npXYs[npXYs[:, 0] == j][:, 1:]\n",
        "        XYs.append(XY)\n",
        "    path_XYs.append(XYs)\n",
        "curves = path_XYs"
      ],
      "metadata": {
        "id": "oHRA9K8dqBki"
      },
      "execution_count": 92,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "def plot_curve(curves):\n",
        "  fig, ax = plt.subplots(tight_layout=True, figsize=(8, 8))\n",
        "  colors = plt.cm.rainbow(np.linspace(0, 1, len(curves)))\n",
        "  for XYs, c in zip(curves, colors):\n",
        "      for XY in XYs:\n",
        "          ax.plot(XY[:, 0], XY[:, 1], c=c, linewidth=2)\n",
        "  ax.set_aspect('equal')\n",
        "  plt.show()"
      ],
      "metadata": {
        "id": "PdjnmK2Gq-2Z"
      },
      "execution_count": 93,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plot_curve(curves)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 765
        },
        "id": "kq4rJgFj_kCe",
        "outputId": "b22f98a3-511c-4157-b241-f488dea688da"
      },
      "execution_count": 94,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 800x800 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "curves"
      ],
      "metadata": {
        "id": "m3Sp4TjMJLJW",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "39275ea3-1011-4527-a06c-2b98489780e0"
      },
      "execution_count": 97,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "[[array([[109.14299774, 125.58000183],\n",
              "         [110.15747833, 125.49578094],\n",
              "         [111.17194366, 125.40398407],\n",
              "         [112.18638611, 125.30522156],\n",
              "         [113.20079041, 125.20011139],\n",
              "         [114.21517181, 125.08926392],\n",
              "         [115.22950745, 124.97328949],\n",
              "         [116.2437973 , 124.85279083],\n",
              "         [117.25804138, 124.72838593],\n",
              "         [118.27222443, 124.60068512],\n",
              "         [119.28635406, 124.47029877],\n",
              "         [120.30041504, 124.33782959],\n",
              "         [121.31440735, 124.2039032 ],\n",
              "         [122.32831573, 124.06912231],\n",
              "         [123.34214783, 123.93410492],\n",
              "         [124.355896  , 123.79945374],\n",
              "         [125.36954498, 123.66577911],\n",
              "         [126.38310242, 123.53369141],\n",
              "         [127.39655304, 123.40380859],\n",
              "         [128.40989685, 123.27674103],\n",
              "         [129.42312622, 123.15309143],\n",
              "         [130.43623352, 123.03347778],\n",
              "         [131.44923401, 122.91851044],\n",
              "         [132.46208191, 122.80879974],\n",
              "         [133.47480774, 122.70494843],\n",
              "         [134.48739624, 122.60758209],\n",
              "         [135.49983215, 122.51730347],\n",
              "         [136.51213074, 122.43471527],\n",
              "         [137.52426147, 122.36045074],\n",
              "         [138.53623962, 122.29509735],\n",
              "         [139.54803467, 122.2392807 ],\n",
              "         [140.55967712, 122.19360352],\n",
              "         [141.57113647, 122.15868378],\n",
              "         [142.58241272, 122.13512421],\n",
              "         [143.5934906 , 122.12354279],\n",
              "         [144.60440063, 122.12454987],\n",
              "         [145.61509705, 122.13874817],\n",
              "         [146.62559509, 122.16675568],\n",
              "         [147.63587952, 122.20919037],\n",
              "         [148.64595032, 122.26664734],\n",
              "         [149.6558075 , 122.33974457],\n",
              "         [150.66543579, 122.42910004],\n",
              "         [151.67483521, 122.53530884],\n",
              "         [152.68400574, 122.65899658],\n",
              "         [153.70085144, 122.80228424],\n",
              "         [154.71440125, 122.96405792],\n",
              "         [155.72444153, 123.14414215],\n",
              "         [156.73077393, 123.3423233 ],\n",
              "         [157.73316956, 123.5584259 ],\n",
              "         [158.73139954, 123.79224396],\n",
              "         [159.72528076, 124.04360199],\n",
              "         [160.71458435, 124.31228638],\n",
              "         [161.69911194, 124.59812164],\n",
              "         [162.67861938, 124.90090179],\n",
              "         [163.65290833, 125.22045135],\n",
              "         [164.62176514, 125.5565567 ],\n",
              "         [165.58499146, 125.90904236],\n",
              "         [166.54234314, 126.27770996],\n",
              "         [167.49362183, 126.66236115],\n",
              "         [168.43862915, 127.06280518],\n",
              "         [169.37712097, 127.47885895],\n",
              "         [170.30889893, 127.9103241 ],\n",
              "         [171.23374939, 128.35699463],\n",
              "         [172.15145874, 128.81871033],\n",
              "         [173.06181335, 129.29524231],\n",
              "         [173.96459961, 129.78642273],\n",
              "         [174.85958862, 130.29203796],\n",
              "         [175.74659729, 130.81192017],\n",
              "         [176.62538147, 131.34585571],\n",
              "         [177.4957428 , 131.8936615 ],\n",
              "         [178.35746765, 132.45513916],\n",
              "         [179.21032715, 133.03012085],\n",
              "         [180.05412292, 133.61837769],\n",
              "         [180.88864136, 134.21972656],\n",
              "         [181.71366882, 134.83398438],\n",
              "         [182.5289917 , 135.46096802],\n",
              "         [183.3343811 , 136.10046387],\n",
              "         [184.12962341, 136.75228882],\n",
              "         [184.91453552, 137.41624451],\n",
              "         [185.68887329, 138.09214783],\n",
              "         [186.45243835, 138.77980042],\n",
              "         [187.20500183, 139.47900391],\n",
              "         [187.94650269, 140.18939209],\n",
              "         [188.67697144, 140.91056824],\n",
              "         [189.39637756, 141.6423645 ],\n",
              "         [190.10472107, 142.384552  ],\n",
              "         [190.80195618, 143.13694763],\n",
              "         [191.48805237, 143.89935303],\n",
              "         [192.16297913, 144.67155457],\n",
              "         [192.82673645, 145.45336914],\n",
              "         [193.47926331, 146.24459839],\n",
              "         [194.12054443, 147.04502869],\n",
              "         [194.75056458, 147.85447693],\n",
              "         [195.36929321, 148.67272949],\n",
              "         [195.97668457, 149.49960327],\n",
              "         [196.57273865, 150.3348999 ],\n",
              "         [197.15740967, 151.17840576],\n",
              "         [197.73066711, 152.02992249],\n",
              "         [198.29249573, 152.88926697],\n",
              "         [198.84286499, 153.75624084],\n",
              "         [199.38174438, 154.63063049],\n",
              "         [199.90911865, 155.51223755],\n",
              "         [200.42494202, 156.40087891],\n",
              "         [200.92921448, 157.29634094],\n",
              "         [201.421875  , 158.19842529],\n",
              "         [201.90292358, 159.10694885],\n",
              "         [202.37231445, 160.021698  ],\n",
              "         [202.83003235, 160.94247437],\n",
              "         [203.27604675, 161.86909485],\n",
              "         [203.71032715, 162.80134583],\n",
              "         [204.13285828, 163.73902893],\n",
              "         [204.54359436, 164.6819458 ],\n",
              "         [204.94252014, 165.62989807],\n",
              "         [205.3296051 , 166.58270264],\n",
              "         [205.70483398, 167.54014587],\n",
              "         [206.06816101, 168.50202942],\n",
              "         [206.41957092, 169.46815491],\n",
              "         [206.7590332 , 170.43832397],\n",
              "         [207.08651733, 171.41233826],\n",
              "         [207.4019928 , 172.38999939],\n",
              "         [207.71740723, 173.41233826],\n",
              "         [208.01927185, 174.44024658],\n",
              "         [208.30667114, 175.4733429 ],\n",
              "         [208.57861328, 176.51119995],\n",
              "         [208.83418274, 177.55345154],\n",
              "         [209.07241821, 178.59970093],\n",
              "         [209.29237366, 179.64955139],\n",
              "         [209.49308777, 180.70262146],\n",
              "         [209.6736145 , 181.75849915],\n",
              "         [209.83302307, 182.81680298],\n",
              "         [209.97033691, 183.87715149],\n",
              "         [210.08462524, 184.93913269],\n",
              "         [210.17492676, 186.00236511],\n",
              "         [210.24029541, 187.06645203],\n",
              "         [210.27978516, 188.1309967 ],\n",
              "         [210.29243469, 189.19560242],\n",
              "         [210.27731323, 190.25990295],\n",
              "         [210.23345947, 191.32348633],\n",
              "         [210.15991211, 192.38595581],\n",
              "         [210.05575562, 193.44692993],\n",
              "         [209.91999817, 194.5059967 ],\n",
              "         [209.74794006, 195.58335876],\n",
              "         [209.54348755, 196.65368652],\n",
              "         [209.30767822, 197.71676636],\n",
              "         [209.04151917, 198.77232361],\n",
              "         [208.74604797, 199.82012939],\n",
              "         [208.42225647, 200.85995483],\n",
              "         [208.07119751, 201.89154053],\n",
              "         [207.69387817, 202.91464233],\n",
              "         [207.29130554, 203.92903137],\n",
              "         [206.86451721, 204.93444824],\n",
              "         [206.41453552, 205.93066406],\n",
              "         [205.94236755, 206.91744995],\n",
              "         [205.4490509 , 207.89453125],\n",
              "         [204.93559265, 208.86167908],\n",
              "         [204.40301514, 209.81866455],\n",
              "         [203.85235596, 210.76522827],\n",
              "         [203.28462219, 211.7011261 ],\n",
              "         [202.70082092, 212.62614441],\n",
              "         [202.102005  , 213.53999329],\n",
              "         [201.53799438, 214.37246704],\n",
              "         [200.96247864, 215.19587708],\n",
              "         [200.37559509, 216.01026917],\n",
              "         [199.77755737, 216.81562805],\n",
              "         [199.16853333, 217.61201477],\n",
              "         [198.54867554, 218.39941406],\n",
              "         [197.91819763, 219.1778717 ],\n",
              "         [197.27726746, 219.9473877 ],\n",
              "         [196.62605286, 220.70799255],\n",
              "         [195.9647522 , 221.45970154],\n",
              "         [195.29351807, 222.20254517],\n",
              "         [194.61254883, 222.9365387 ],\n",
              "         [193.92201233, 223.66169739],\n",
              "         [193.22209167, 224.3780365 ],\n",
              "         [192.51296997, 225.08560181],\n",
              "         [191.79481506, 225.78437805],\n",
              "         [191.06781006, 226.47441101],\n",
              "         [190.33213806, 227.15570068],\n",
              "         [189.58798218, 227.82829285],\n",
              "         [188.83551025, 228.4921875 ],\n",
              "         [188.07489014, 229.1473999 ],\n",
              "         [187.30632019, 229.79397583],\n",
              "         [186.52996826, 230.43191528],\n",
              "         [185.74603271, 231.06123352],\n",
              "         [184.95466614, 231.68197632],\n",
              "         [184.15605164, 232.29414368],\n",
              "         [183.35037231, 232.89775085],\n",
              "         [182.53781128, 233.49282837],\n",
              "         [181.71855164, 234.07939148],\n",
              "         [180.89274597, 234.6574707 ],\n",
              "         [180.06060791, 235.2270813 ],\n",
              "         [179.22229004, 235.78822327],\n",
              "         [178.37797546, 236.34094238],\n",
              "         [177.52784729, 236.88525391],\n",
              "         [176.67208862, 237.4211731 ],\n",
              "         [175.81086731, 237.94873047],\n",
              "         [174.94436646, 238.46792603],\n",
              "         [174.07276917, 238.97879028],\n",
              "         [173.19624329, 239.4813385 ],\n",
              "         [172.31498718, 239.9756012 ],\n",
              "         [171.42915344, 240.46159363],\n",
              "         [170.53892517, 240.93933105],\n",
              "         [169.64450073, 241.40884399],\n",
              "         [168.74604797, 241.87014771],\n",
              "         [167.84373474, 242.32324219],\n",
              "         [166.9377594 , 242.76818848],\n",
              "         [166.02827454, 243.20497131],\n",
              "         [165.11549377, 243.63362122],\n",
              "         [164.19955444, 244.0541687 ],\n",
              "         [163.28067017, 244.46661377],\n",
              "         [162.35899353, 244.8710022 ],\n",
              "         [161.40872192, 245.27859497],\n",
              "         [160.45437622, 245.67819214],\n",
              "         [159.49604797, 246.06944275],\n",
              "         [158.53381348, 246.4519043 ],\n",
              "         [157.56776428, 246.82521057],\n",
              "         [156.59794617, 247.18894958],\n",
              "         [155.62446594, 247.54272461],\n",
              "         [154.64738464, 247.88613892],\n",
              "         [153.66677856, 248.21881104],\n",
              "         [152.68273926, 248.54032898],\n",
              "         [151.69532776, 248.85031128],\n",
              "         [150.70465088, 249.14834595],\n",
              "         [149.71075439, 249.43403625],\n",
              "         [148.71372986, 249.70698547],\n",
              "         [147.71365356, 249.96681213],\n",
              "         [146.71060181, 250.21310425],\n",
              "         [145.70465088, 250.44546509],\n",
              "         [144.69589233, 250.66351318],\n",
              "         [143.68438721, 250.86685181],\n",
              "         [142.67021179, 251.05505371],\n",
              "         [141.65345764, 251.22775269],\n",
              "         [140.63420105, 251.384552  ],\n",
              "         [139.61250305, 251.52503967],\n",
              "         [138.58847046, 251.64881897],\n",
              "         [137.56214905, 251.75550842],\n",
              "         [136.53363037, 251.84469604],\n",
              "         [135.50300598, 251.91600037],\n",
              "         [134.43032837, 251.97042847],\n",
              "         [133.35682678, 252.00489807],\n",
              "         [132.28288269, 252.0194397 ],\n",
              "         [131.20883179, 252.01411438],\n",
              "         [130.13505554, 251.9889679 ],\n",
              "         [129.06192017, 251.94404602],\n",
              "         [127.98977661, 251.87940979],\n",
              "         [126.91899109, 251.79508972],\n",
              "         [125.84993744, 251.69113159],\n",
              "         [124.78296661, 251.56759644],\n",
              "         [123.71844482, 251.42453003],\n",
              "         [122.65673828, 251.26197815],\n",
              "         [121.59820557, 251.07997131],\n",
              "         [120.54322052, 250.87858582],\n",
              "         [119.49214172, 250.65786743],\n",
              "         [118.44532776, 250.41784668],\n",
              "         [117.40314484, 250.15858459],\n",
              "         [116.36595917, 249.88011169],\n",
              "         [115.33412933, 249.58248901],\n",
              "         [114.30802155, 249.26577759],\n",
              "         [113.28800201, 248.92999268],\n",
              "         [112.30471039, 248.58607483],\n",
              "         [111.32832336, 248.22494507],\n",
              "         [110.35888672, 247.84690857],\n",
              "         [109.39648438, 247.45228577],\n",
              "         [108.441185  , 247.04138184],\n",
              "         [107.49304962, 246.61447144],\n",
              "         [106.55214691, 246.17190552],\n",
              "         [105.61855316, 245.71394348],\n",
              "         [104.69233704, 245.24092102],\n",
              "         [103.77355957, 244.75312805],\n",
              "         [102.86228943, 244.25086975],\n",
              "         [101.95860291, 243.73445129],\n",
              "         [101.06256104, 243.20417786],\n",
              "         [100.17424011, 242.66035461],\n",
              "         [ 99.29370117, 242.10328674],\n",
              "         [ 98.42102051, 241.53326416],\n",
              "         [ 97.55625916, 240.95062256],\n",
              "         [ 96.69949341, 240.3556366 ],\n",
              "         [ 95.8507843 , 239.74862671],\n",
              "         [ 95.01020813, 239.12989807],\n",
              "         [ 94.17782593, 238.4997406 ],\n",
              "         [ 93.35371399, 237.85845947],\n",
              "         [ 92.53793335, 237.20637512],\n",
              "         [ 91.73055267, 236.54379272],\n",
              "         [ 90.93165588, 235.87098694],\n",
              "         [ 90.14128876, 235.18829346],\n",
              "         [ 89.35953522, 234.49601746],\n",
              "         [ 88.58646393, 233.79443359],\n",
              "         [ 87.82213593, 233.0838623 ],\n",
              "         [ 87.0666275 , 232.36462402],\n",
              "         [ 86.31999969, 231.63699341],\n",
              "         [ 85.56887054, 230.88719177],\n",
              "         [ 84.82626343, 230.12791443],\n",
              "         [ 84.09259033, 229.35922241],\n",
              "         [ 83.3682785 , 228.58113098],\n",
              "         [ 82.6537323 , 227.79371643],\n",
              "         [ 81.94937134, 226.99697876],\n",
              "         [ 81.2556076 , 226.19096375],\n",
              "         [ 80.57286835, 225.37573242],\n",
              "         [ 79.90156555, 224.55130005],\n",
              "         [ 79.24211121, 223.71769714],\n",
              "         [ 78.5949173 , 222.87498474],\n",
              "         [ 77.9604187 , 222.02319336],\n",
              "         [ 77.33901215, 221.16235352],\n",
              "         [ 76.73112488, 220.29249573],\n",
              "         [ 76.13716888, 219.41368103],\n",
              "         [ 75.55756378, 218.52593994],\n",
              "         [ 74.99272156, 217.62928772],\n",
              "         [ 74.44306183, 216.7237854 ],\n",
              "         [ 73.90899658, 215.80947876],\n",
              "         [ 73.39094543, 214.8863678 ],\n",
              "         [ 72.889328  , 213.95452881],\n",
              "         [ 72.40455627, 213.01397705],\n",
              "         [ 71.93704224, 212.06477356],\n",
              "         [ 71.48721313, 211.10691833],\n",
              "         [ 71.05547333, 210.14048767],\n",
              "         [ 70.64225006, 209.16549683],\n",
              "         [ 70.24795532, 208.18199158],\n",
              "         [ 69.8730011 , 207.19000244],\n",
              "         [ 69.54187012, 206.25941467],\n",
              "         [ 69.22902679, 205.32443237],\n",
              "         [ 68.93431854, 204.38523865],\n",
              "         [ 68.6576004 , 203.44204712],\n",
              "         [ 68.39871216, 202.49502563],\n",
              "         [ 68.15752411, 201.54440308],\n",
              "         [ 67.93386841, 200.59034729],\n",
              "         [ 67.72760773, 199.6330719 ],\n",
              "         [ 67.53858948, 198.67274475],\n",
              "         [ 67.3666687 , 197.70959473],\n",
              "         [ 67.21168518, 196.74378967],\n",
              "         [ 67.07350159, 195.77554321],\n",
              "         [ 66.9519577 , 194.80503845],\n",
              "         [ 66.8469162 , 193.83247375],\n",
              "         [ 66.75822449, 192.85804749],\n",
              "         [ 66.68572998, 191.88194275],\n",
              "         [ 66.62928772, 190.90437317],\n",
              "         [ 66.58874512, 189.92552185],\n",
              "         [ 66.56395721, 188.9455719 ],\n",
              "         [ 66.55477142, 187.9647522 ],\n",
              "         [ 66.56104279, 186.98323059],\n",
              "         [ 66.58261871, 186.00120544],\n",
              "         [ 66.61934662, 185.01887512],\n",
              "         [ 66.67108917, 184.03643799],\n",
              "         [ 66.73768616, 183.05407715],\n",
              "         [ 66.81899261, 182.07200623],\n",
              "         [ 66.91485596, 181.09039307],\n",
              "         [ 67.02513885, 180.10946655],\n",
              "         [ 67.14968109, 179.12939453],\n",
              "         [ 67.28833008, 178.15039062],\n",
              "         [ 67.44094849, 177.17263794],\n",
              "         [ 67.60738373, 176.19633484],\n",
              "         [ 67.78749084, 175.22166443],\n",
              "         [ 67.98110962, 174.24884033],\n",
              "         [ 68.18809509, 173.27806091],\n",
              "         [ 68.40830231, 172.30949402],\n",
              "         [ 68.64157867, 171.34335327],\n",
              "         [ 68.88777924, 170.37983704],\n",
              "         [ 69.1467514 , 169.41912842],\n",
              "         [ 69.41835022, 168.46144104],\n",
              "         [ 69.70241547, 167.50694275],\n",
              "         [ 69.99881744, 166.55584717],\n",
              "         [ 70.30738831, 165.6083374 ],\n",
              "         [ 70.62799072, 164.66462708],\n",
              "         [ 70.96046448, 163.72489929],\n",
              "         [ 71.30467224, 162.78933716],\n",
              "         [ 71.66046906, 161.8581543 ],\n",
              "         [ 72.02768707, 160.93154907],\n",
              "         [ 72.40618896, 160.00968933],\n",
              "         [ 72.79582977, 159.09280396],\n",
              "         [ 73.19644928, 158.18106079],\n",
              "         [ 73.60791016, 157.2746582 ],\n",
              "         [ 74.03005219, 156.37380981],\n",
              "         [ 74.46273804, 155.47869873],\n",
              "         [ 74.9058075 , 154.58950806],\n",
              "         [ 75.3591156 , 153.70645142],\n",
              "         [ 75.8225174 , 152.82972717],\n",
              "         [ 76.29586029, 151.95950317],\n",
              "         [ 76.77899933, 151.09599304],\n",
              "         [ 77.28591919, 150.21913147],\n",
              "         [ 77.80758667, 149.34925842],\n",
              "         [ 78.34383392, 148.48681641],\n",
              "         [ 78.89452362, 147.63224792],\n",
              "         [ 79.45948792, 146.786026  ],\n",
              "         [ 80.03858948, 145.94859314],\n",
              "         [ 80.63166046, 145.12039185],\n",
              "         [ 81.23855591, 144.30186462],\n",
              "         [ 81.85912323, 143.49346924],\n",
              "         [ 82.49320221, 142.69564819],\n",
              "         [ 83.14064789, 141.90885925],\n",
              "         [ 83.80130005, 141.13352966],\n",
              "         [ 84.47501373, 140.37013245],\n",
              "         [ 85.16162872, 139.61911011],\n",
              "         [ 85.86099243, 138.88090515],\n",
              "         [ 86.5729599 , 138.15596008],\n",
              "         [ 87.29736328, 137.44474792],\n",
              "         [ 88.03406525, 136.74769592],\n",
              "         [ 88.78289795, 136.06524658],\n",
              "         [ 89.54372406, 135.39787292],\n",
              "         [ 90.31637573, 134.7460022 ],\n",
              "         [ 91.10070801, 134.11009216],\n",
              "         [ 91.89656067, 133.49058533],\n",
              "         [ 92.70379639, 132.88793945],\n",
              "         [ 93.52223969, 132.30259705],\n",
              "         [ 94.35175323, 131.73501587],\n",
              "         [ 95.19218445, 131.18562317],\n",
              "         [ 96.04337311, 130.65489197],\n",
              "         [ 96.90516663, 130.14324951],\n",
              "         [ 97.77741241, 129.65115356],\n",
              "         [ 98.65995789, 129.17906189],\n",
              "         [ 99.55265045, 128.72741699],\n",
              "         [100.45534515, 128.29666138],\n",
              "         [101.36787415, 127.88723755],\n",
              "         [102.29008484, 127.4996109 ],\n",
              "         [103.2218399 , 127.13422394],\n",
              "         [104.1629715 , 126.79151917],\n",
              "         [105.11333466, 126.47195435],\n",
              "         [106.07276917, 126.17596436],\n",
              "         [107.04113007, 125.90401459],\n",
              "         [108.01825714, 125.65653992],\n",
              "         [109.0039978 , 125.43399811]])],\n",
              " [array([[140.84300232,  11.85200024],\n",
              "         [141.45674133,  12.43616676],\n",
              "         [142.09480286,  13.01455879],\n",
              "         ...,\n",
              "         [141.49961853,  13.91237926],\n",
              "         [141.1630249 ,  12.89239883],\n",
              "         [140.84399414,  11.84700012]])],\n",
              " [array([[  7.98000002,   0.83999997],\n",
              "         [  8.98950958,   0.84788334],\n",
              "         [  9.99900818,   0.85685998],\n",
              "         [ 11.00849438,   0.86692989],\n",
              "         [ 12.01796722,   0.878093  ],\n",
              "         [ 13.02742577,   0.89034915],\n",
              "         [ 14.0368681 ,   0.90369827],\n",
              "         [ 15.04629326,   0.91814029],\n",
              "         [ 16.05570221,   0.93367511],\n",
              "         [ 17.06509018,   0.95030266],\n",
              "         [ 18.07445908,   0.96802288],\n",
              "         [ 19.08380508,   0.98683566],\n",
              "         [ 20.09313011,   1.00674081],\n",
              "         [ 21.10243034,   1.02773845],\n",
              "         [ 22.11170578,   1.04982829],\n",
              "         [ 23.12095642,   1.07301033],\n",
              "         [ 24.13017845,   1.09728456],\n",
              "         [ 25.13937378,   1.12265074],\n",
              "         [ 26.14853859,   1.14910889],\n",
              "         [ 27.15767288,   1.17665887],\n",
              "         [ 28.16677475,   1.20530069],\n",
              "         [ 29.1758461 ,   1.23503411],\n",
              "         [ 30.18488121,   1.26585913],\n",
              "         [ 31.19388199,   1.29777563],\n",
              "         [ 32.20284653,   1.33078349],\n",
              "         [ 33.21177292,   1.36488283],\n",
              "         [ 34.22066116,   1.40007329],\n",
              "         [ 35.22951126,   1.43635499],\n",
              "         [ 36.2383194 ,   1.4737277 ],\n",
              "         [ 37.24708557,   1.5121913 ],\n",
              "         [ 38.25580978,   1.55174589],\n",
              "         [ 39.26448822,   1.59239125],\n",
              "         [ 40.27312088,   1.63412738],\n",
              "         [ 41.28170776,   1.67695415],\n",
              "         [ 42.29024887,   1.72087133],\n",
              "         [ 43.29874039,   1.76587903],\n",
              "         [ 44.3071785 ,   1.81197715],\n",
              "         [ 45.31557083,   1.85916555],\n",
              "         [ 46.32390594,   1.907444  ],\n",
              "         [ 47.33219147,   1.95681274],\n",
              "         [ 48.34041977,   2.00727129],\n",
              "         [ 49.34859467,   2.05882001],\n",
              "         [ 50.35671234,   2.1114583 ],\n",
              "         [ 51.36476898,   2.16518664],\n",
              "         [ 52.3727684 ,   2.22000432],\n",
              "         [ 53.3807106 ,   2.27591181],\n",
              "         [ 54.38858795,   2.33290887],\n",
              "         [ 55.39640427,   2.39099503],\n",
              "         [ 56.40415573,   2.45017076],\n",
              "         [ 57.41184235,   2.51043558],\n",
              "         [ 58.41946411,   2.5717895 ],\n",
              "         [ 59.42701721,   2.63423276],\n",
              "         [ 60.43450546,   2.69776464],\n",
              "         [ 61.44192123,   2.76238561],\n",
              "         [ 62.44926834,   2.8280952 ],\n",
              "         [ 63.45654297,   2.89489365],\n",
              "         [ 64.46374512,   2.96278071],\n",
              "         [ 65.47087097,   3.0317564 ],\n",
              "         [ 66.47792816,   3.10182023],\n",
              "         [ 67.48490143,   3.17297268],\n",
              "         [ 68.4917984 ,   3.24521327],\n",
              "         [ 69.49861908,   3.318542  ],\n",
              "         [ 70.50536346,   3.39295912],\n",
              "         [ 71.51202393,   3.4684639 ],\n",
              "         [ 72.51860046,   3.54505682],\n",
              "         [ 73.52510071,   3.62273741],\n",
              "         [ 74.5315094 ,   3.7015059 ],\n",
              "         [ 75.53783417,   3.78136182],\n",
              "         [ 76.54407501,   3.8623054 ],\n",
              "         [ 77.5502243 ,   3.94433665],\n",
              "         [ 78.55628967,   4.02745533],\n",
              "         [ 79.56226349,   4.11166096],\n",
              "         [ 80.56814575,   4.19695377],\n",
              "         [ 81.57393646,   4.28333426],\n",
              "         [ 82.57963562,   4.37080145],\n",
              "         [ 83.5852356 ,   4.45935535],\n",
              "         [ 84.59074402,   4.54899645],\n",
              "         [ 85.59615326,   4.63972425],\n",
              "         [ 86.60146332,   4.73153877],\n",
              "         [ 87.60667419,   4.82444   ],\n",
              "         [ 88.61179352,   4.91842747],\n",
              "         [ 89.6167984 ,   5.01350164],\n",
              "         [ 90.62171173,   5.10966206],\n",
              "         [ 91.62651825,   5.2069087 ],\n",
              "         [ 92.63121796,   5.30524158],\n",
              "         [ 93.63581085,   5.4046607 ],\n",
              "         [ 94.64029694,   5.50516558],\n",
              "         [ 95.64468384,   5.60675621],\n",
              "         [ 96.64894867,   5.70943308],\n",
              "         [ 97.65310669,   5.81319571],\n",
              "         [ 98.6571579 ,   5.91804361],\n",
              "         [ 99.66109467,   6.02397728],\n",
              "         [100.66491699,   6.13099623],\n",
              "         [101.66862488,   6.23910093],\n",
              "         [102.67221069,   6.34829044],\n",
              "         [103.6756897 ,   6.45856571],\n",
              "         [104.679039  ,   6.56992579],\n",
              "         [105.68227386,   6.68237066],\n",
              "         [106.68539429,   6.79590082],\n",
              "         [107.68838501,   6.91051579],\n",
              "         [108.69125366,   7.02621555],\n",
              "         [109.69400024,   7.14300013],\n",
              "         [110.97899628,   7.55999994],\n",
              "         [111.49099731,   9.56499958],\n",
              "         [111.43617249,  10.57774258],\n",
              "         [111.38134766,  11.59048462],\n",
              "         [111.3265152 ,  12.60322571],\n",
              "         [111.27169037,  13.6159668 ],\n",
              "         [111.21686554,  14.62870693],\n",
              "         [111.16204071,  15.64144707],\n",
              "         [111.10721588,  16.65418625],\n",
              "         [111.05239105,  17.66692543],\n",
              "         [110.99756622,  18.6796627 ],\n",
              "         [110.94274139,  19.69239998],\n",
              "         [110.88791656,  20.70513535],\n",
              "         [110.83309174,  21.71787262],\n",
              "         [110.77827454,  22.73060799],\n",
              "         [110.72344971,  23.74334145],\n",
              "         [110.66862488,  24.75607491],\n",
              "         [110.61380768,  25.76880836],\n",
              "         [110.55898285,  26.78154182],\n",
              "         [110.50416565,  27.79427338],\n",
              "         [110.44934082,  28.80700493],\n",
              "         [110.39452362,  29.81973457],\n",
              "         [110.33970642,  30.83246422],\n",
              "         [110.28488159,  31.84519196],\n",
              "         [110.23006439,  32.8579216 ],\n",
              "         [110.17524719,  33.87064743],\n",
              "         [110.12042999,  34.88337326],\n",
              "         [110.06561279,  35.89609909],\n",
              "         [110.01079559,  36.90882492],\n",
              "         [109.95597839,  37.92154694],\n",
              "         [109.90116119,  38.93427277],\n",
              "         [109.84634399,  39.94699478],\n",
              "         [109.79152679,  40.9597168 ],\n",
              "         [109.73670959,  41.972435  ],\n",
              "         [109.6818924 ,  42.98515701],\n",
              "         [109.6270752 ,  43.99787521],\n",
              "         [109.572258  ,  45.01059341],\n",
              "         [109.5174408 ,  46.0233078 ],\n",
              "         [109.46263123,  47.036026  ],\n",
              "         [109.40781403,  48.04874039],\n",
              "         [109.35299683,  49.06145477],\n",
              "         [109.29817963,  50.07416916],\n",
              "         [109.24337006,  51.08687973],\n",
              "         [109.18855286,  52.0995903 ],\n",
              "         [109.13373566,  53.11230087],\n",
              "         [109.07892609,  54.12501144],\n",
              "         [109.02410889,  55.13772202],\n",
              "         [108.96929169,  56.15042877],\n",
              "         [108.91448212,  57.16313553],\n",
              "         [108.85966492,  58.17583847],\n",
              "         [108.80484772,  59.18854523],\n",
              "         [108.75003815,  60.20124817],\n",
              "         [108.69522095,  61.2139473 ],\n",
              "         [108.64040375,  62.22665024],\n",
              "         [108.58559418,  63.23934937],\n",
              "         [108.53077698,  64.25205231],\n",
              "         [108.47596741,  65.26474762],\n",
              "         [108.42115021,  66.27744293],\n",
              "         [108.36633301,  67.29013824],\n",
              "         [108.31152344,  68.30283356],\n",
              "         [108.25670624,  69.31552887],\n",
              "         [108.20188904,  70.32821655],\n",
              "         [108.14707947,  71.34091187],\n",
              "         [108.09226227,  72.35359955],\n",
              "         [108.03744507,  73.36628723],\n",
              "         [107.9826355 ,  74.37897491],\n",
              "         [107.9278183 ,  75.3916626 ],\n",
              "         [107.8730011 ,  76.40435028],\n",
              "         [107.8181839 ,  77.41703033],\n",
              "         [107.76337433,  78.42971039],\n",
              "         [107.70855713,  79.44239044],\n",
              "         [107.65373993,  80.4550705 ],\n",
              "         [107.59892273,  81.46775055],\n",
              "         [107.54410553,  82.4804306 ],\n",
              "         [107.48929596,  83.49310303],\n",
              "         [107.43447876,  84.50578308],\n",
              "         [107.37966156,  85.51845551],\n",
              "         [107.32484436,  86.53112793],\n",
              "         [107.27002716,  87.54380035],\n",
              "         [107.21520996,  88.55646515],\n",
              "         [107.16039276,  89.56913757],\n",
              "         [107.10556793,  90.58180237],\n",
              "         [107.05075073,  91.59446716],\n",
              "         [106.99593353,  92.60713196],\n",
              "         [106.94111633,  93.61979675],\n",
              "         [106.88629913,  94.63245392],\n",
              "         [106.8314743 ,  95.64511871],\n",
              "         [106.7766571 ,  96.65777588],\n",
              "         [106.7218399 ,  97.67043304],\n",
              "         [106.66701508,  98.68309021],\n",
              "         [106.61219788,  99.69573975],\n",
              "         [106.55737305, 100.70839691],\n",
              "         [106.50254822, 101.72104645],\n",
              "         [106.44773102, 102.73369598],\n",
              "         [106.39290619, 103.74634552],\n",
              "         [106.33808136, 104.75898743],\n",
              "         [106.28325653, 105.77163696],\n",
              "         [106.22843933, 106.78427887],\n",
              "         [106.1736145 , 107.79692078],\n",
              "         [106.11878967, 108.80956268],\n",
              "         [106.06396484, 109.82219696],\n",
              "         [106.00914001, 110.83483887],\n",
              "         [105.95430756, 111.84747314],\n",
              "         [105.89948273, 112.86010742],\n",
              "         [105.8446579 , 113.8727417 ],\n",
              "         [105.78982544, 114.88536835],\n",
              "         [105.73500061, 115.89800262],\n",
              "         [105.5490036 , 117.41750336],\n",
              "         [104.8710022 , 118.71499634],\n",
              "         [102.44000244, 119.60900116],\n",
              "         [101.43859863, 119.74288177],\n",
              "         [100.43685913, 119.87176514],\n",
              "         [ 99.43478394, 119.99569702],\n",
              "         [ 98.43238831, 120.11471558],\n",
              "         [ 97.42967224, 120.22885895],\n",
              "         [ 96.426651  , 120.33818054],\n",
              "         [ 95.42332458, 120.44271851],\n",
              "         [ 94.41970062, 120.54251099],\n",
              "         [ 93.41579437, 120.63759613],\n",
              "         [ 92.41161346, 120.72802734],\n",
              "         [ 91.40715027, 120.81383514],\n",
              "         [ 90.4024353 , 120.89507294],\n",
              "         [ 89.39746094, 120.97177124],\n",
              "         [ 88.3922348 , 121.04398346],\n",
              "         [ 87.38677216, 121.11174011],\n",
              "         [ 86.38108063, 121.1750946 ],\n",
              "         [ 85.37516022, 121.23407745],\n",
              "         [ 84.36901855, 121.28874207],\n",
              "         [ 83.36267853, 121.33911896],\n",
              "         [ 82.35612488, 121.38525391],\n",
              "         [ 81.34938812, 121.42720032],\n",
              "         [ 80.34246063, 121.46498108],\n",
              "         [ 79.33535767, 121.4986496 ],\n",
              "         [ 78.32807922, 121.52824402],\n",
              "         [ 77.32064056, 121.55381775],\n",
              "         [ 76.31304932, 121.57539368],\n",
              "         [ 75.30530548, 121.59302521],\n",
              "         [ 74.29742432, 121.60675049],\n",
              "         [ 73.28941345, 121.61662292],\n",
              "         [ 72.28127289, 121.62266541],\n",
              "         [ 71.27302551, 121.62493134],\n",
              "         [ 70.2646637 , 121.62345886],\n",
              "         [ 69.2562027 , 121.61829376],\n",
              "         [ 68.24764252, 121.60948181],\n",
              "         [ 67.23899841, 121.59705353],\n",
              "         [ 66.23028564, 121.58105469],\n",
              "         [ 65.22149658, 121.56153107],\n",
              "         [ 64.21263885, 121.53852844],\n",
              "         [ 63.20373535, 121.51207733],\n",
              "         [ 62.19478226, 121.48222351],\n",
              "         [ 61.1857872 , 121.44902039],\n",
              "         [ 60.17676544, 121.41249084],\n",
              "         [ 59.16771698, 121.37268829],\n",
              "         [ 58.15865326, 121.32965851],\n",
              "         [ 57.14958191, 121.28343201],\n",
              "         [ 56.14050674, 121.23406219],\n",
              "         [ 55.13144302, 121.18157959],\n",
              "         [ 54.12239075, 121.12602997],\n",
              "         [ 53.11336517, 121.06746674],\n",
              "         [ 52.1043663 , 121.00592041],\n",
              "         [ 51.09540558, 120.94142914],\n",
              "         [ 50.08649445, 120.87404633],\n",
              "         [ 49.0776329 , 120.80380249],\n",
              "         [ 48.0688324 , 120.73075104],\n",
              "         [ 47.06010437, 120.65493011],\n",
              "         [ 46.05144882, 120.57637787],\n",
              "         [ 45.04288101, 120.49513245],\n",
              "         [ 44.03440475, 120.41124725],\n",
              "         [ 43.02602768, 120.32476044],\n",
              "         [ 42.01775742, 120.23571014],\n",
              "         [ 41.00960159, 120.14414215],\n",
              "         [ 40.00157166, 120.05010223],\n",
              "         [ 38.99367142, 119.95362091],\n",
              "         [ 37.98590851, 119.85474396],\n",
              "         [ 36.97829437, 119.75351715],\n",
              "         [ 35.97083282, 119.64998627],\n",
              "         [ 34.96353149, 119.54418182],\n",
              "         [ 33.95639801, 119.4361496 ],\n",
              "         [ 32.94944763, 119.32594299],\n",
              "         [ 31.94267654, 119.21359253],\n",
              "         [ 30.93610001, 119.09913635],\n",
              "         [ 29.92972374, 118.98262787],\n",
              "         [ 28.92355537, 118.86410522],\n",
              "         [ 27.91760254, 118.74360657],\n",
              "         [ 26.91187477, 118.62117767],\n",
              "         [ 25.90637589, 118.49685669],\n",
              "         [ 24.90111732, 118.37068939],\n",
              "         [ 23.89610481, 118.24271393],\n",
              "         [ 22.89134789, 118.1129837 ],\n",
              "         [ 21.88685036, 117.98152161],\n",
              "         [ 20.88262558, 117.84838867],\n",
              "         [ 19.87867546, 117.71360779],\n",
              "         [ 18.87501335, 117.57723999],\n",
              "         [ 17.87164307, 117.4393158 ],\n",
              "         [ 16.86857224, 117.29988098],\n",
              "         [ 15.86581135, 117.15897369],\n",
              "         [ 14.86336613, 117.01663971],\n",
              "         [ 13.8612442 , 116.87291718],\n",
              "         [ 12.85945415, 116.72785187],\n",
              "         [ 11.85800362, 116.58148956],\n",
              "         [ 10.85690022, 116.43386078],\n",
              "         [  9.85615158, 116.28501892],\n",
              "         [  8.85576534, 116.13500214],\n",
              "         [  7.85574961, 115.98384857],\n",
              "         [  6.85611153, 115.83159637],\n",
              "         [  5.85685921, 115.67830658],\n",
              "         [  4.8579998 , 115.52400208],\n",
              "         [  2.79200006, 114.73000336],\n",
              "         [  2.08400011, 112.32499695],\n",
              "         [  2.03795004, 111.24328613],\n",
              "         [  1.99276388, 110.16156769],\n",
              "         [  1.94838667, 109.07984924],\n",
              "         [  1.90476382, 107.99812317],\n",
              "         [  1.86184072, 106.91638184],\n",
              "         [  1.81956267, 105.83463287],\n",
              "         [  1.77787495, 104.75287628],\n",
              "         [  1.73672307, 103.6710968 ],\n",
              "         [  1.69605207, 102.58930206],\n",
              "         [  1.65580761, 101.50749207],\n",
              "         [  1.61593473, 100.42565918],\n",
              "         [  1.57637906,  99.34379578],\n",
              "         [  1.53708565,  98.26191711],\n",
              "         [  1.49800003,  97.18000031],\n",
              "         [  1.46131647,  96.1638031 ],\n",
              "         [  1.42468441,  95.14744568],\n",
              "         [  1.38814735,  94.13093567],\n",
              "         [  1.35174859,  93.1142807 ],\n",
              "         [  1.31553173,  92.0974884 ],\n",
              "         [  1.27954018,  91.08055878],\n",
              "         [  1.24381745,  90.06349945],\n",
              "         [  1.20840704,  89.04631805],\n",
              "         [  1.17335236,  88.02902222],\n",
              "         [  1.13869691,  87.01161957],\n",
              "         [  1.1044842 ,  85.99411011],\n",
              "         [  1.07075751,  84.97650146],\n",
              "         [  1.03756058,  83.95880127],\n",
              "         [  1.00493681,  82.94101715],\n",
              "         [  0.9729296 ,  81.92315674],\n",
              "         [  0.94158244,  80.90522003],\n",
              "         [  0.9109388 ,  79.88721466],\n",
              "         [  0.88104212,  78.86914825],\n",
              "         [  0.85193598,  77.85102844],\n",
              "         [  0.82366377,  76.83286285],\n",
              "         [  0.796269  ,  75.81465149],\n",
              "         [  0.76979512,  74.79640961],\n",
              "         [  0.74428564,  73.77812958],\n",
              "         [  0.71978396,  72.75982666],\n",
              "         [  0.69633359,  71.74150848],\n",
              "         [  0.67397797,  70.72317505],\n",
              "         [  0.65276068,  69.70484161],\n",
              "         [  0.63272506,  68.68650818],\n",
              "         [  0.61391467,  67.66817474],\n",
              "         [  0.59637296,  66.64985657],\n",
              "         [  0.58014333,  65.63155365],\n",
              "         [  0.56526941,  64.61328125],\n",
              "         [  0.55179453,  63.59503937],\n",
              "         [  0.5397622 ,  62.57683182],\n",
              "         [  0.52921593,  61.55866623],\n",
              "         [  0.52019912,  60.54055405],\n",
              "         [  0.51275533,  59.52249527],\n",
              "         [  0.50692803,  58.50449753],\n",
              "         [  0.50276059,  57.48656464],\n",
              "         [  0.50029653,  56.46870804],\n",
              "         [  0.49957937,  55.45093155],\n",
              "         [  0.50065255,  54.4332428 ],\n",
              "         [  0.50355953,  53.41564178],\n",
              "         [  0.50834382,  52.39813995],\n",
              "         [  0.51504886,  51.38074493],\n",
              "         [  0.52371812,  50.36346054],\n",
              "         [  0.53439504,  49.34629059],\n",
              "         [  0.54712319,  48.32924271],\n",
              "         [  0.56194597,  47.31232452],\n",
              "         [  0.57890683,  46.29553986],\n",
              "         [  0.59804934,  45.27889633],\n",
              "         [  0.61941683,  44.26240158],\n",
              "         [  0.64305294,  43.24605942],\n",
              "         [  0.66900098,  42.22987747],\n",
              "         [  0.69730455,  41.21385956],\n",
              "         [  0.72800708,  40.19801331],\n",
              "         [  0.76115203,  39.18234253],\n",
              "         [  0.79678285,  38.16685867],\n",
              "         [  0.834943  ,  37.15156555],\n",
              "         [  0.87567604,  36.13646698],\n",
              "         [  0.91902536,  35.12156677],\n",
              "         [  0.96503448,  34.10688019],\n",
              "         [  1.01374686,  33.09240723],\n",
              "         [  1.06520605,  32.0781517 ],\n",
              "         [  1.11945534,  31.06412506],\n",
              "         [  1.17653835,  30.05032921],\n",
              "         [  1.23649848,  29.03677368],\n",
              "         [  1.29937911,  28.0234642 ],\n",
              "         [  1.365224  ,  27.01040459],\n",
              "         [  1.43407643,  25.99760056],\n",
              "         [  1.50597978,  24.98506165],\n",
              "         [  1.5809778 ,  23.97279167],\n",
              "         [  1.65911365,  22.96079636],\n",
              "         [  1.74043107,  21.94908524],\n",
              "         [  1.82497334,  20.93766022],\n",
              "         [  1.91278398,  19.92652893],\n",
              "         [  2.00390649,  18.9156971 ],\n",
              "         [  2.09838438,  17.90517235],\n",
              "         [  2.19626117,  16.8949585 ],\n",
              "         [  2.29758   ,  15.88506413],\n",
              "         [  2.40238476,  14.87549305],\n",
              "         [  2.51071882,  13.86625385],\n",
              "         [  2.62262559,  12.85735035],\n",
              "         [  2.73814821,  11.84879017],\n",
              "         [  2.8573308 ,  10.84057903],\n",
              "         [  2.9802165 ,   9.83272266],\n",
              "         [  3.10684848,   8.82522774],\n",
              "         [  3.23727083,   7.8180995 ],\n",
              "         [  3.37152672,   6.81134462],\n",
              "         [  3.50965953,   5.80496931],\n",
              "         [  3.65171266,   4.79897976],\n",
              "         [  3.79772997,   3.79338217],\n",
              "         [  3.94775462,   2.78818202],\n",
              "         [  4.10183001,   1.78338599],\n",
              "         [  4.26000023,   0.77899998],\n",
              "         [  5.6753335 ,   1.34307408],\n",
              "         [  7.1833334 ,   1.5595926 ],\n",
              "         [  8.69999981,   1.41700006]])]]"
            ]
          },
          "metadata": {},
          "execution_count": 97
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "def cubic_bezier(t, p0, p1, p2, p3):\n",
        "    return (1-t)**3 * p0 + 3*(1-t)**2*t * p1 + 3*(1-t)*t**2 * p2 + t**3 * p3"
      ],
      "metadata": {
        "id": "W_f6BnoWIAu4"
      },
      "execution_count": 98,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "points = np.array(curves[0]).reshape(-1, 2)"
      ],
      "metadata": {
        "id": "pVlB05K2Hn5e"
      },
      "execution_count": 99,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "start_point = points[0]\n",
        "end_point = points[-1]\n",
        "control_points = np.array([points[1], points[2], points[2], points[1]])"
      ],
      "metadata": {
        "id": "yi83Lu-8H-Tt"
      },
      "execution_count": 100,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "\n",
        "def plot_curve(points, control_points):\n",
        "  # Generate t values\n",
        "  t_values = np.linspace(0, 1, 100)\n",
        "\n",
        "  # Calculate points on the curve\n",
        "  x_values = [cubic_bezier(t, *control_points)[0] for t in t_values]\n",
        "  y_values = [cubic_bezier(t, *control_points)[1] for t in t_values]\n",
        "\n",
        "  print(x_values)\n",
        "  print(y_values)\n",
        "\n",
        "  # Plot the curve\n",
        "  plt.plot(x_values, y_values, label='Approximated Path')\n",
        "  plt.scatter(points[:, 0], points[:, 1], label='Points', color='red')\n",
        "  plt.xlabel('X')\n",
        "  plt.ylabel('Y')\n",
        "  plt.title('Approximation Using Cubic Bézier Curve')\n",
        "  plt.legend()\n",
        "  plt.grid(True)\n",
        "  plt.axis('equal')\n",
        "  plt.show()\n"
      ],
      "metadata": {
        "id": "kwxpne6-IDWx"
      },
      "execution_count": 101,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "plot_curve(points, control_points)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 527
        },
        "id": "fJVXjIOTeNx9",
        "outputId": "0ff75a51-1a64-4050-a3ad-ba6e5b294552"
      },
      "execution_count": 102,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[110.15747833251953, 110.18790918729121, 110.2177190042104, 110.24690778327711, 110.27547552449133, 110.30342222785308, 110.33074789336233, 110.35745252101911, 110.38353611082341, 110.40899866277519, 110.43384017687455, 110.45806065312136, 110.48166009151575, 110.50463849205764, 110.52699585474701, 110.54873217958395, 110.56984746656835, 110.5903417157003, 110.61021492697974, 110.62946710040674, 110.64809823598127, 110.66610833370324, 110.68349739357278, 110.7002654155898, 110.71641239975439, 110.73193834606644, 110.74684325452606, 110.76112712513319, 110.7747899578878, 110.78783175278994, 110.80025250983961, 110.81205222903678, 110.82323091038145, 110.8337885538737, 110.84372515951344, 110.85304072730068, 110.86173525723542, 110.86980874931776, 110.87726120354752, 110.8840926199248, 110.89030299844966, 110.89589233912203, 110.90086064194188, 110.90520790690927, 110.9089341340242, 110.91203932328658, 110.9145234746965, 110.91638658825396, 110.91762866395892, 110.9182497018114, 110.91824970181142, 110.91762866395894, 110.91638658825396, 110.91452347469652, 110.91203932328656, 110.90893413402416, 110.90520790690925, 110.90086064194188, 110.89589233912203, 110.89030299844967, 110.88409261992483, 110.87726120354753, 110.86980874931773, 110.86173525723544, 110.85304072730068, 110.84372515951344, 110.83378855387369, 110.82323091038148, 110.8120522290368, 110.8002525098396, 110.78783175278994, 110.7747899578878, 110.76112712513319, 110.74684325452606, 110.73193834606644, 110.71641239975439, 110.70026541558983, 110.68349739357278, 110.66610833370325, 110.64809823598124, 110.62946710040674, 110.61021492697975, 110.59034171570029, 110.56984746656836, 110.54873217958392, 110.52699585474701, 110.50463849205762, 110.48166009151575, 110.45806065312138, 110.43384017687455, 110.40899866277522, 110.3835361108234, 110.35745252101913, 110.33074789336233, 110.30342222785308, 110.27547552449133, 110.24690778327712, 110.2177190042104, 110.1879091872912, 110.15747833251953]\n",
            "[125.49578094482422, 125.4930273195564, 125.49032989072259, 125.48768865832285, 125.4851036223571, 125.48257478282544, 125.48010213972782, 125.4776856930642, 125.47532544283465, 125.47302138903906, 125.47077353167761, 125.46858187075013, 125.46644640625672, 125.46436713819735, 125.46234406657202, 125.4603771913807, 125.45846651262342, 125.4566120303002, 125.45481374441097, 125.45307165495586, 125.45138576193476, 125.44975606534763, 125.4481825651946, 125.44666526147556, 125.44520415419062, 125.44379924333965, 125.44245052892279, 125.44115801093994, 125.4399216893911, 125.43874156427631, 125.43761763559557, 125.43654990334885, 125.43553836753618, 125.43458302815755, 125.43368388521297, 125.43284093870238, 125.43205418862587, 125.4313236349834, 125.43064927777495, 125.43003111700051, 125.42946915266016, 125.42896338475384, 125.42851381328151, 125.42812043824325, 125.42778325963906, 125.42750227746885, 125.42727749173267, 125.4271089024306, 125.42699650956251, 125.42694031312847, 125.42694031312848, 125.42699650956251, 125.42710890243059, 125.42727749173271, 125.42750227746883, 125.42778325963904, 125.42812043824327, 125.42851381328151, 125.42896338475381, 125.42946915266015, 125.43003111700052, 125.43064927777495, 125.43132363498339, 125.43205418862587, 125.4328409387024, 125.43368388521296, 125.43458302815755, 125.43553836753617, 125.43654990334885, 125.43761763559557, 125.43874156427631, 125.4399216893911, 125.44115801093992, 125.44245052892279, 125.44379924333967, 125.4452041541906, 125.44666526147559, 125.44818256519459, 125.44975606534763, 125.45138576193473, 125.45307165495585, 125.454813744411, 125.45661203030019, 125.45846651262343, 125.4603771913807, 125.462344066572, 125.46436713819733, 125.46644640625674, 125.46858187075014, 125.47077353167761, 125.47302138903909, 125.47532544283463, 125.4776856930642, 125.48010213972779, 125.48257478282544, 125.48510362235712, 125.48768865832284, 125.49032989072259, 125.49302731955639, 125.49578094482422]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "for curve in curves:\n",
        "  points=np.array(curve).reshape(-1, 2)\n",
        "  start_point = points[0]\n",
        "  end_point = points[-1]\n",
        "  control_points = np.array([points[1], points[2], points[2], points[1]])\n",
        "  plot_curve(points, control_points)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "GXO_zvRueZaP",
        "outputId": "1397509f-aaed-45aa-a304-0a3c9c2c71dd"
      },
      "execution_count": 103,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[110.15747833251953, 110.18790918729121, 110.2177190042104, 110.24690778327711, 110.27547552449133, 110.30342222785308, 110.33074789336233, 110.35745252101911, 110.38353611082341, 110.40899866277519, 110.43384017687455, 110.45806065312136, 110.48166009151575, 110.50463849205764, 110.52699585474701, 110.54873217958395, 110.56984746656835, 110.5903417157003, 110.61021492697974, 110.62946710040674, 110.64809823598127, 110.66610833370324, 110.68349739357278, 110.7002654155898, 110.71641239975439, 110.73193834606644, 110.74684325452606, 110.76112712513319, 110.7747899578878, 110.78783175278994, 110.80025250983961, 110.81205222903678, 110.82323091038145, 110.8337885538737, 110.84372515951344, 110.85304072730068, 110.86173525723542, 110.86980874931776, 110.87726120354752, 110.8840926199248, 110.89030299844966, 110.89589233912203, 110.90086064194188, 110.90520790690927, 110.9089341340242, 110.91203932328658, 110.9145234746965, 110.91638658825396, 110.91762866395892, 110.9182497018114, 110.91824970181142, 110.91762866395894, 110.91638658825396, 110.91452347469652, 110.91203932328656, 110.90893413402416, 110.90520790690925, 110.90086064194188, 110.89589233912203, 110.89030299844967, 110.88409261992483, 110.87726120354753, 110.86980874931773, 110.86173525723544, 110.85304072730068, 110.84372515951344, 110.83378855387369, 110.82323091038148, 110.8120522290368, 110.8002525098396, 110.78783175278994, 110.7747899578878, 110.76112712513319, 110.74684325452606, 110.73193834606644, 110.71641239975439, 110.70026541558983, 110.68349739357278, 110.66610833370325, 110.64809823598124, 110.62946710040674, 110.61021492697975, 110.59034171570029, 110.56984746656836, 110.54873217958392, 110.52699585474701, 110.50463849205762, 110.48166009151575, 110.45806065312138, 110.43384017687455, 110.40899866277522, 110.3835361108234, 110.35745252101913, 110.33074789336233, 110.30342222785308, 110.27547552449133, 110.24690778327712, 110.2177190042104, 110.1879091872912, 110.15747833251953]\n",
            "[125.49578094482422, 125.4930273195564, 125.49032989072259, 125.48768865832285, 125.4851036223571, 125.48257478282544, 125.48010213972782, 125.4776856930642, 125.47532544283465, 125.47302138903906, 125.47077353167761, 125.46858187075013, 125.46644640625672, 125.46436713819735, 125.46234406657202, 125.4603771913807, 125.45846651262342, 125.4566120303002, 125.45481374441097, 125.45307165495586, 125.45138576193476, 125.44975606534763, 125.4481825651946, 125.44666526147556, 125.44520415419062, 125.44379924333965, 125.44245052892279, 125.44115801093994, 125.4399216893911, 125.43874156427631, 125.43761763559557, 125.43654990334885, 125.43553836753618, 125.43458302815755, 125.43368388521297, 125.43284093870238, 125.43205418862587, 125.4313236349834, 125.43064927777495, 125.43003111700051, 125.42946915266016, 125.42896338475384, 125.42851381328151, 125.42812043824325, 125.42778325963906, 125.42750227746885, 125.42727749173267, 125.4271089024306, 125.42699650956251, 125.42694031312847, 125.42694031312848, 125.42699650956251, 125.42710890243059, 125.42727749173271, 125.42750227746883, 125.42778325963904, 125.42812043824327, 125.42851381328151, 125.42896338475381, 125.42946915266015, 125.43003111700052, 125.43064927777495, 125.43132363498339, 125.43205418862587, 125.4328409387024, 125.43368388521296, 125.43458302815755, 125.43553836753617, 125.43654990334885, 125.43761763559557, 125.43874156427631, 125.4399216893911, 125.44115801093992, 125.44245052892279, 125.44379924333967, 125.4452041541906, 125.44666526147559, 125.44818256519459, 125.44975606534763, 125.45138576193473, 125.45307165495585, 125.454813744411, 125.45661203030019, 125.45846651262343, 125.4603771913807, 125.462344066572, 125.46436713819733, 125.46644640625674, 125.46858187075014, 125.47077353167761, 125.47302138903909, 125.47532544283463, 125.4776856930642, 125.48010213972779, 125.48257478282544, 125.48510362235712, 125.48768865832284, 125.49032989072259, 125.49302731955639, 125.49578094482422]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[141.4567413330078, 141.4758812256607, 141.49463050825938, 141.51298918080397, 141.53095724329438, 141.5485346957307, 141.56572153811285, 141.5825177704409, 141.59892339271477, 141.61493840493443, 141.63056280710006, 141.64579659921148, 141.66063978126883, 141.67509235327202, 141.68915431522103, 141.70282566711597, 141.71610640895668, 141.7289965407433, 141.74149606247576, 141.75360497415414, 141.76532327577834, 141.77665096734836, 141.7875880488643, 141.79813452032604, 141.8082903817337, 141.81805563308717, 141.8274302743866, 141.8364143056318, 141.84500772682287, 141.85321053795977, 141.8610227390426, 141.86844433007124, 141.87547531104573, 141.88211568196616, 141.8883654428324, 141.89422459364448, 141.89969313440244, 141.9047710651063, 141.90945838575593, 141.91375509635142, 141.91766119689288, 141.92117668738015, 141.92430156781322, 141.92703583819224, 141.9293794985171, 141.93133254878776, 141.9328949890043, 141.93406681916676, 141.93484803927504, 141.93523864932916, 141.9352386493292, 141.93484803927504, 141.93406681916676, 141.93289498900432, 141.93133254878774, 141.92937949851708, 141.92703583819224, 141.92430156781325, 141.92117668738013, 141.91766119689288, 141.91375509635148, 141.90945838575595, 141.90477106510627, 141.89969313440244, 141.89422459364448, 141.8883654428324, 141.88211568196613, 141.87547531104576, 141.86844433007124, 141.8610227390426, 141.8532105379598, 141.84500772682287, 141.83641430563176, 141.82743027438656, 141.8180556330872, 141.8082903817337, 141.79813452032607, 141.78758804886428, 141.77665096734836, 141.76532327577831, 141.75360497415414, 141.7414960624758, 141.7289965407433, 141.7161064089567, 141.70282566711595, 141.68915431522103, 141.675092353272, 141.66063978126883, 141.6457965992115, 141.63056280710006, 141.61493840493446, 141.59892339271474, 141.58251777044086, 141.56572153811283, 141.54853469573067, 141.53095724329438, 141.51298918080397, 141.49463050825938, 141.4758812256607, 141.4567413330078]\n",
            "[12.436166763305664, 12.453516753762734, 12.4705126627819, 12.487154490363173, 12.50344223650654, 12.51937590121201, 12.534955484479585, 12.550180986309256, 12.565052406701032, 12.579569745654902, 12.593733003170875, 12.60754217924895, 12.620997273889127, 12.634098287091405, 12.646845218855779, 12.659238069182258, 12.671276838070833, 12.682961525521517, 12.69429213153429, 12.705268656109174, 12.715891099246155, 12.726159460945233, 12.736073741206418, 12.745633940029697, 12.754840057415082, 12.763692093362565, 12.77219004787215, 12.78033392094384, 12.788123712577619, 12.795559422773508, 12.802641051531497, 12.809368598851583, 12.815742064733769, 12.82176144917806, 12.82742675218445, 12.83273797375294, 12.83769511388353, 12.842298172576225, 12.846547149831014, 12.850442045647906, 12.853982860026901, 12.857169592967999, 12.860002244471188, 12.862480814536484, 12.864605303163884, 12.866375710353378, 12.867792036104973, 12.868854280418674, 12.869562443294473, 12.86991652473237, 12.869916524732373, 12.869562443294472, 12.868854280418672, 12.867792036104976, 12.866375710353376, 12.864605303163884, 12.862480814536486, 12.860002244471191, 12.857169592967995, 12.853982860026901, 12.850442045647906, 12.846547149831016, 12.842298172576221, 12.83769511388353, 12.83273797375294, 12.827426752184449, 12.821761449178059, 12.81574206473377, 12.80936859885158, 12.802641051531495, 12.795559422773508, 12.788123712577622, 12.780333920943836, 12.77219004787215, 12.763692093362565, 12.754840057415084, 12.745633940029698, 12.736073741206416, 12.726159460945233, 12.715891099246154, 12.705268656109173, 12.694292131534294, 12.682961525521513, 12.671276838070835, 12.659238069182258, 12.64684521885578, 12.634098287091403, 12.620997273889127, 12.60754217924895, 12.593733003170875, 12.5795697456549, 12.56505240670103, 12.550180986309256, 12.534955484479582, 12.519375901212012, 12.50344223650654, 12.48715449036317, 12.470512662781902, 12.453516753762733, 12.436166763305664]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[8.989509582519531, 9.019791450418753, 9.049455321013909, 9.078501194305002, 9.106929070292022, 9.13473894897498, 9.161930830353876, 9.188504714428703, 9.214460601199468, 9.23979849066616, 9.264518382828793, 9.288620277687354, 9.312104175241855, 9.334970075492288, 9.357217978438653, 9.378847884080958, 9.399859792419191, 9.42025370345336, 9.440029617183463, 9.459187533609505, 9.477727452731479, 9.495649374549382, 9.512953299063225, 9.529639226272998, 9.54570715617871, 9.56115708878035, 9.57598902407793, 9.590202962071444, 9.603798902760888, 9.61677684614627, 9.629136792227586, 9.640878741004833, 9.652002692478016, 9.662508646647135, 9.672396603512189, 9.681666563073174, 9.690318525330095, 9.69835249028295, 9.70576845793174, 9.712566428276459, 9.71874640131712, 9.724308377053712, 9.729252355486237, 9.733578336614697, 9.737286320439093, 9.74037630695942, 9.742848296175682, 9.74470228808788, 9.745938282696011, 9.746556280000076, 9.746556280000078, 9.745938282696011, 9.74470228808788, 9.742848296175683, 9.74037630695942, 9.737286320439091, 9.733578336614697, 9.729252355486237, 9.724308377053712, 9.71874640131712, 9.71256642827646, 9.705768457931738, 9.698352490282948, 9.690318525330095, 9.681666563073174, 9.672396603512187, 9.662508646647135, 9.652002692478018, 9.640878741004833, 9.629136792227586, 9.61677684614627, 9.60379890276089, 9.590202962071443, 9.57598902407793, 9.561157088780352, 9.545707156178707, 9.529639226272998, 9.512953299063224, 9.495649374549382, 9.477727452731475, 9.459187533609503, 9.440029617183466, 9.42025370345336, 9.399859792419191, 9.378847884080955, 9.357217978438655, 9.334970075492286, 9.312104175241855, 9.288620277687356, 9.26451838282879, 9.23979849066616, 9.214460601199466, 9.188504714428703, 9.161930830353876, 9.134738948974983, 9.106929070292024, 9.078501194305, 9.049455321013909, 9.019791450418753, 8.989509582519531]\n",
            "[0.8478833436965942, 0.8481526153694063, 0.8484163917019565, 0.8486746726942458, 0.8489274583462731, 0.8491747486580392, 0.8494165436295439, 0.8496528432607869, 0.8498836475517687, 0.8501089565024886, 0.8503287701129476, 0.8505430883831447, 0.8507519113130807, 0.850955238902755, 0.8511530711521678, 0.8513454080613193, 0.8515322496302089, 0.8517135958588374, 0.8518894467472045, 0.8520598022953101, 0.8522246625031542, 0.8523840273707366, 0.8525378968980578, 0.8526862710851173, 0.8528291499319154, 0.8529665334384521, 0.8530984216047275, 0.8532248144307415, 0.8533457119164937, 0.8534611140619842, 0.8535710208672138, 0.8536754323321816, 0.8537743484568878, 0.8538677692413331, 0.8539556946855167, 0.8540381247894385, 0.8541150595530991, 0.8541864989764982, 0.8542524430596358, 0.8543128918025117, 0.8543678452051265, 0.85441730326748, 0.8544612659895714, 0.8544997333714017, 0.8545327054129708, 0.8545601821142779, 0.8545821634753238, 0.8545986494961083, 0.8546096401766312, 0.8546151355168926, 0.8546151355168927, 0.8546096401766312, 0.8545986494961081, 0.8545821634753238, 0.8545601821142779, 0.8545327054129707, 0.854499733371402, 0.8544612659895715, 0.8544173032674799, 0.8543678452051267, 0.8543128918025119, 0.8542524430596359, 0.8541864989764981, 0.8541150595530991, 0.8540381247894386, 0.8539556946855166, 0.853867769241333, 0.853774348456888, 0.8536754323321816, 0.8535710208672137, 0.8534611140619843, 0.8533457119164936, 0.8532248144307413, 0.8530984216047275, 0.8529665334384522, 0.8528291499319156, 0.8526862710851174, 0.8525378968980577, 0.8523840273707366, 0.8522246625031541, 0.8520598022953101, 0.8518894467472045, 0.8517135958588375, 0.8515322496302091, 0.8513454080613192, 0.8511530711521678, 0.8509552389027549, 0.8507519113130806, 0.8505430883831449, 0.8503287701129476, 0.8501089565024889, 0.8498836475517686, 0.849652843260787, 0.8494165436295438, 0.8491747486580392, 0.8489274583462731, 0.8486746726942457, 0.8484163917019566, 0.8481526153694062, 0.8478833436965942]\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "def approximate_with_bezier(curves):\n",
        "    bezier_curves = []\n",
        "    for curve in curves:\n",
        "        if isinstance(curve, list):\n",
        "            curve = np.array(curve)\n",
        "        points = curve.reshape(-1, 2)\n",
        "        start_point = points[0]\n",
        "        end_point = points[-1]\n",
        "        control_points = np.array([points[1], points[2], points[2], points[1]])\n",
        "\n",
        "        t_values = np.linspace(0, 1, 100)\n",
        "        x_values = [cubic_bezier(t, *control_points)[0] for t in t_values]\n",
        "        y_values = [cubic_bezier(t, *control_points)[1] for t in t_values]\n",
        "\n",
        "        bezier_curves.append(np.column_stack((x_values, y_values)))\n",
        "\n",
        "    all_bezier_curves = np.concatenate(bezier_curves)\n",
        "\n",
        "    all_bezier_curves = all_bezier_curves[all_bezier_curves[:, 0].argsort()]\n",
        "\n",
        "    return all_bezier_curves\n",
        "\n",
        "def cubic_bezier(t, p0, p1, p2, p3):\n",
        "    return (1-t)**3 * p0 + 3*(1-t)**2*t * p1 + 3*(1-t)*t**2 * p2 + t**3 * p3\n",
        "\n",
        "approximated_spline = approximate_with_bezier(curves)\n",
        "\n",
        "curves = [np.array(curve) if not isinstance(curve, np.ndarray) else curve for curve in curves]\n",
        "\n",
        "plt.figure(figsize=(10, 6))\n",
        "\n",
        "for curve in curves:\n",
        "    plt.plot(*curve.T, 'o-', label='Original Polylines')\n",
        "\n",
        "plt.plot(approximated_spline[:, 0], approximated_spline[:, 1], '-r', label='Approximated Spline')\n",
        "\n",
        "plt.legend()\n",
        "plt.xlabel('X')\n",
        "plt.ylabel('Y')\n",
        "plt.title('Approximation Using Cubic Bézier Curves')\n",
        "plt.grid(True)\n",
        "plt.axis('equal')\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 565
        },
        "id": "UOOlEo0WbZjt",
        "outputId": "42019470-8d84-41c1-d8a6-9506e1fa1022"
      },
      "execution_count": 104,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x600 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "def plot_original_polylines(curves):\n",
        "    plt.figure(figsize=(10, 6))\n",
        "\n",
        "    for curve in curves:\n",
        "        plt.plot(*curve.T, 'o-', label='Original Polylines')\n",
        "\n",
        "    plt.legend()\n",
        "    plt.xlabel('X')\n",
        "    plt.ylabel('Y')\n",
        "    plt.title('Original Polylines')\n",
        "    plt.grid(True)\n",
        "    plt.axis('equal')\n",
        "    plt.show()\n",
        "\n",
        "plot_original_polylines(curves)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 564
        },
        "id": "9IOhlgsRSyHa",
        "outputId": "1788d059-bf15-4206-d36a-83169b40b4d8"
      },
      "execution_count": 147,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1000x600 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "curves[0]"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "P7FfEJsRO8kO",
        "outputId": "68b69e18-7391-4c2c-ed55-a6cc3107768f"
      },
      "execution_count": 115,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[[109.14299774, 125.58000183],\n",
              "        [110.15747833, 125.49578094],\n",
              "        [111.17194366, 125.40398407],\n",
              "        [112.18638611, 125.30522156],\n",
              "        [113.20079041, 125.20011139],\n",
              "        [114.21517181, 125.08926392],\n",
              "        [115.22950745, 124.97328949],\n",
              "        [116.2437973 , 124.85279083],\n",
              "        [117.25804138, 124.72838593],\n",
              "        [118.27222443, 124.60068512],\n",
              "        [119.28635406, 124.47029877],\n",
              "        [120.30041504, 124.33782959],\n",
              "        [121.31440735, 124.2039032 ],\n",
              "        [122.32831573, 124.06912231],\n",
              "        [123.34214783, 123.93410492],\n",
              "        [124.355896  , 123.79945374],\n",
              "        [125.36954498, 123.66577911],\n",
              "        [126.38310242, 123.53369141],\n",
              "        [127.39655304, 123.40380859],\n",
              "        [128.40989685, 123.27674103],\n",
              "        [129.42312622, 123.15309143],\n",
              "        [130.43623352, 123.03347778],\n",
              "        [131.44923401, 122.91851044],\n",
              "        [132.46208191, 122.80879974],\n",
              "        [133.47480774, 122.70494843],\n",
              "        [134.48739624, 122.60758209],\n",
              "        [135.49983215, 122.51730347],\n",
              "        [136.51213074, 122.43471527],\n",
              "        [137.52426147, 122.36045074],\n",
              "        [138.53623962, 122.29509735],\n",
              "        [139.54803467, 122.2392807 ],\n",
              "        [140.55967712, 122.19360352],\n",
              "        [141.57113647, 122.15868378],\n",
              "        [142.58241272, 122.13512421],\n",
              "        [143.5934906 , 122.12354279],\n",
              "        [144.60440063, 122.12454987],\n",
              "        [145.61509705, 122.13874817],\n",
              "        [146.62559509, 122.16675568],\n",
              "        [147.63587952, 122.20919037],\n",
              "        [148.64595032, 122.26664734],\n",
              "        [149.6558075 , 122.33974457],\n",
              "        [150.66543579, 122.42910004],\n",
              "        [151.67483521, 122.53530884],\n",
              "        [152.68400574, 122.65899658],\n",
              "        [153.70085144, 122.80228424],\n",
              "        [154.71440125, 122.96405792],\n",
              "        [155.72444153, 123.14414215],\n",
              "        [156.73077393, 123.3423233 ],\n",
              "        [157.73316956, 123.5584259 ],\n",
              "        [158.73139954, 123.79224396],\n",
              "        [159.72528076, 124.04360199],\n",
              "        [160.71458435, 124.31228638],\n",
              "        [161.69911194, 124.59812164],\n",
              "        [162.67861938, 124.90090179],\n",
              "        [163.65290833, 125.22045135],\n",
              "        [164.62176514, 125.5565567 ],\n",
              "        [165.58499146, 125.90904236],\n",
              "        [166.54234314, 126.27770996],\n",
              "        [167.49362183, 126.66236115],\n",
              "        [168.43862915, 127.06280518],\n",
              "        [169.37712097, 127.47885895],\n",
              "        [170.30889893, 127.9103241 ],\n",
              "        [171.23374939, 128.35699463],\n",
              "        [172.15145874, 128.81871033],\n",
              "        [173.06181335, 129.29524231],\n",
              "        [173.96459961, 129.78642273],\n",
              "        [174.85958862, 130.29203796],\n",
              "        [175.74659729, 130.81192017],\n",
              "        [176.62538147, 131.34585571],\n",
              "        [177.4957428 , 131.8936615 ],\n",
              "        [178.35746765, 132.45513916],\n",
              "        [179.21032715, 133.03012085],\n",
              "        [180.05412292, 133.61837769],\n",
              "        [180.88864136, 134.21972656],\n",
              "        [181.71366882, 134.83398438],\n",
              "        [182.5289917 , 135.46096802],\n",
              "        [183.3343811 , 136.10046387],\n",
              "        [184.12962341, 136.75228882],\n",
              "        [184.91453552, 137.41624451],\n",
              "        [185.68887329, 138.09214783],\n",
              "        [186.45243835, 138.77980042],\n",
              "        [187.20500183, 139.47900391],\n",
              "        [187.94650269, 140.18939209],\n",
              "        [188.67697144, 140.91056824],\n",
              "        [189.39637756, 141.6423645 ],\n",
              "        [190.10472107, 142.384552  ],\n",
              "        [190.80195618, 143.13694763],\n",
              "        [191.48805237, 143.89935303],\n",
              "        [192.16297913, 144.67155457],\n",
              "        [192.82673645, 145.45336914],\n",
              "        [193.47926331, 146.24459839],\n",
              "        [194.12054443, 147.04502869],\n",
              "        [194.75056458, 147.85447693],\n",
              "        [195.36929321, 148.67272949],\n",
              "        [195.97668457, 149.49960327],\n",
              "        [196.57273865, 150.3348999 ],\n",
              "        [197.15740967, 151.17840576],\n",
              "        [197.73066711, 152.02992249],\n",
              "        [198.29249573, 152.88926697],\n",
              "        [198.84286499, 153.75624084],\n",
              "        [199.38174438, 154.63063049],\n",
              "        [199.90911865, 155.51223755],\n",
              "        [200.42494202, 156.40087891],\n",
              "        [200.92921448, 157.29634094],\n",
              "        [201.421875  , 158.19842529],\n",
              "        [201.90292358, 159.10694885],\n",
              "        [202.37231445, 160.021698  ],\n",
              "        [202.83003235, 160.94247437],\n",
              "        [203.27604675, 161.86909485],\n",
              "        [203.71032715, 162.80134583],\n",
              "        [204.13285828, 163.73902893],\n",
              "        [204.54359436, 164.6819458 ],\n",
              "        [204.94252014, 165.62989807],\n",
              "        [205.3296051 , 166.58270264],\n",
              "        [205.70483398, 167.54014587],\n",
              "        [206.06816101, 168.50202942],\n",
              "        [206.41957092, 169.46815491],\n",
              "        [206.7590332 , 170.43832397],\n",
              "        [207.08651733, 171.41233826],\n",
              "        [207.4019928 , 172.38999939],\n",
              "        [207.71740723, 173.41233826],\n",
              "        [208.01927185, 174.44024658],\n",
              "        [208.30667114, 175.4733429 ],\n",
              "        [208.57861328, 176.51119995],\n",
              "        [208.83418274, 177.55345154],\n",
              "        [209.07241821, 178.59970093],\n",
              "        [209.29237366, 179.64955139],\n",
              "        [209.49308777, 180.70262146],\n",
              "        [209.6736145 , 181.75849915],\n",
              "        [209.83302307, 182.81680298],\n",
              "        [209.97033691, 183.87715149],\n",
              "        [210.08462524, 184.93913269],\n",
              "        [210.17492676, 186.00236511],\n",
              "        [210.24029541, 187.06645203],\n",
              "        [210.27978516, 188.1309967 ],\n",
              "        [210.29243469, 189.19560242],\n",
              "        [210.27731323, 190.25990295],\n",
              "        [210.23345947, 191.32348633],\n",
              "        [210.15991211, 192.38595581],\n",
              "        [210.05575562, 193.44692993],\n",
              "        [209.91999817, 194.5059967 ],\n",
              "        [209.74794006, 195.58335876],\n",
              "        [209.54348755, 196.65368652],\n",
              "        [209.30767822, 197.71676636],\n",
              "        [209.04151917, 198.77232361],\n",
              "        [208.74604797, 199.82012939],\n",
              "        [208.42225647, 200.85995483],\n",
              "        [208.07119751, 201.89154053],\n",
              "        [207.69387817, 202.91464233],\n",
              "        [207.29130554, 203.92903137],\n",
              "        [206.86451721, 204.93444824],\n",
              "        [206.41453552, 205.93066406],\n",
              "        [205.94236755, 206.91744995],\n",
              "        [205.4490509 , 207.89453125],\n",
              "        [204.93559265, 208.86167908],\n",
              "        [204.40301514, 209.81866455],\n",
              "        [203.85235596, 210.76522827],\n",
              "        [203.28462219, 211.7011261 ],\n",
              "        [202.70082092, 212.62614441],\n",
              "        [202.102005  , 213.53999329],\n",
              "        [201.53799438, 214.37246704],\n",
              "        [200.96247864, 215.19587708],\n",
              "        [200.37559509, 216.01026917],\n",
              "        [199.77755737, 216.81562805],\n",
              "        [199.16853333, 217.61201477],\n",
              "        [198.54867554, 218.39941406],\n",
              "        [197.91819763, 219.1778717 ],\n",
              "        [197.27726746, 219.9473877 ],\n",
              "        [196.62605286, 220.70799255],\n",
              "        [195.9647522 , 221.45970154],\n",
              "        [195.29351807, 222.20254517],\n",
              "        [194.61254883, 222.9365387 ],\n",
              "        [193.92201233, 223.66169739],\n",
              "        [193.22209167, 224.3780365 ],\n",
              "        [192.51296997, 225.08560181],\n",
              "        [191.79481506, 225.78437805],\n",
              "        [191.06781006, 226.47441101],\n",
              "        [190.33213806, 227.15570068],\n",
              "        [189.58798218, 227.82829285],\n",
              "        [188.83551025, 228.4921875 ],\n",
              "        [188.07489014, 229.1473999 ],\n",
              "        [187.30632019, 229.79397583],\n",
              "        [186.52996826, 230.43191528],\n",
              "        [185.74603271, 231.06123352],\n",
              "        [184.95466614, 231.68197632],\n",
              "        [184.15605164, 232.29414368],\n",
              "        [183.35037231, 232.89775085],\n",
              "        [182.53781128, 233.49282837],\n",
              "        [181.71855164, 234.07939148],\n",
              "        [180.89274597, 234.6574707 ],\n",
              "        [180.06060791, 235.2270813 ],\n",
              "        [179.22229004, 235.78822327],\n",
              "        [178.37797546, 236.34094238],\n",
              "        [177.52784729, 236.88525391],\n",
              "        [176.67208862, 237.4211731 ],\n",
              "        [175.81086731, 237.94873047],\n",
              "        [174.94436646, 238.46792603],\n",
              "        [174.07276917, 238.97879028],\n",
              "        [173.19624329, 239.4813385 ],\n",
              "        [172.31498718, 239.9756012 ],\n",
              "        [171.42915344, 240.46159363],\n",
              "        [170.53892517, 240.93933105],\n",
              "        [169.64450073, 241.40884399],\n",
              "        [168.74604797, 241.87014771],\n",
              "        [167.84373474, 242.32324219],\n",
              "        [166.9377594 , 242.76818848],\n",
              "        [166.02827454, 243.20497131],\n",
              "        [165.11549377, 243.63362122],\n",
              "        [164.19955444, 244.0541687 ],\n",
              "        [163.28067017, 244.46661377],\n",
              "        [162.35899353, 244.8710022 ],\n",
              "        [161.40872192, 245.27859497],\n",
              "        [160.45437622, 245.67819214],\n",
              "        [159.49604797, 246.06944275],\n",
              "        [158.53381348, 246.4519043 ],\n",
              "        [157.56776428, 246.82521057],\n",
              "        [156.59794617, 247.18894958],\n",
              "        [155.62446594, 247.54272461],\n",
              "        [154.64738464, 247.88613892],\n",
              "        [153.66677856, 248.21881104],\n",
              "        [152.68273926, 248.54032898],\n",
              "        [151.69532776, 248.85031128],\n",
              "        [150.70465088, 249.14834595],\n",
              "        [149.71075439, 249.43403625],\n",
              "        [148.71372986, 249.70698547],\n",
              "        [147.71365356, 249.96681213],\n",
              "        [146.71060181, 250.21310425],\n",
              "        [145.70465088, 250.44546509],\n",
              "        [144.69589233, 250.66351318],\n",
              "        [143.68438721, 250.86685181],\n",
              "        [142.67021179, 251.05505371],\n",
              "        [141.65345764, 251.22775269],\n",
              "        [140.63420105, 251.384552  ],\n",
              "        [139.61250305, 251.52503967],\n",
              "        [138.58847046, 251.64881897],\n",
              "        [137.56214905, 251.75550842],\n",
              "        [136.53363037, 251.84469604],\n",
              "        [135.50300598, 251.91600037],\n",
              "        [134.43032837, 251.97042847],\n",
              "        [133.35682678, 252.00489807],\n",
              "        [132.28288269, 252.0194397 ],\n",
              "        [131.20883179, 252.01411438],\n",
              "        [130.13505554, 251.9889679 ],\n",
              "        [129.06192017, 251.94404602],\n",
              "        [127.98977661, 251.87940979],\n",
              "        [126.91899109, 251.79508972],\n",
              "        [125.84993744, 251.69113159],\n",
              "        [124.78296661, 251.56759644],\n",
              "        [123.71844482, 251.42453003],\n",
              "        [122.65673828, 251.26197815],\n",
              "        [121.59820557, 251.07997131],\n",
              "        [120.54322052, 250.87858582],\n",
              "        [119.49214172, 250.65786743],\n",
              "        [118.44532776, 250.41784668],\n",
              "        [117.40314484, 250.15858459],\n",
              "        [116.36595917, 249.88011169],\n",
              "        [115.33412933, 249.58248901],\n",
              "        [114.30802155, 249.26577759],\n",
              "        [113.28800201, 248.92999268],\n",
              "        [112.30471039, 248.58607483],\n",
              "        [111.32832336, 248.22494507],\n",
              "        [110.35888672, 247.84690857],\n",
              "        [109.39648438, 247.45228577],\n",
              "        [108.441185  , 247.04138184],\n",
              "        [107.49304962, 246.61447144],\n",
              "        [106.55214691, 246.17190552],\n",
              "        [105.61855316, 245.71394348],\n",
              "        [104.69233704, 245.24092102],\n",
              "        [103.77355957, 244.75312805],\n",
              "        [102.86228943, 244.25086975],\n",
              "        [101.95860291, 243.73445129],\n",
              "        [101.06256104, 243.20417786],\n",
              "        [100.17424011, 242.66035461],\n",
              "        [ 99.29370117, 242.10328674],\n",
              "        [ 98.42102051, 241.53326416],\n",
              "        [ 97.55625916, 240.95062256],\n",
              "        [ 96.69949341, 240.3556366 ],\n",
              "        [ 95.8507843 , 239.74862671],\n",
              "        [ 95.01020813, 239.12989807],\n",
              "        [ 94.17782593, 238.4997406 ],\n",
              "        [ 93.35371399, 237.85845947],\n",
              "        [ 92.53793335, 237.20637512],\n",
              "        [ 91.73055267, 236.54379272],\n",
              "        [ 90.93165588, 235.87098694],\n",
              "        [ 90.14128876, 235.18829346],\n",
              "        [ 89.35953522, 234.49601746],\n",
              "        [ 88.58646393, 233.79443359],\n",
              "        [ 87.82213593, 233.0838623 ],\n",
              "        [ 87.0666275 , 232.36462402],\n",
              "        [ 86.31999969, 231.63699341],\n",
              "        [ 85.56887054, 230.88719177],\n",
              "        [ 84.82626343, 230.12791443],\n",
              "        [ 84.09259033, 229.35922241],\n",
              "        [ 83.3682785 , 228.58113098],\n",
              "        [ 82.6537323 , 227.79371643],\n",
              "        [ 81.94937134, 226.99697876],\n",
              "        [ 81.2556076 , 226.19096375],\n",
              "        [ 80.57286835, 225.37573242],\n",
              "        [ 79.90156555, 224.55130005],\n",
              "        [ 79.24211121, 223.71769714],\n",
              "        [ 78.5949173 , 222.87498474],\n",
              "        [ 77.9604187 , 222.02319336],\n",
              "        [ 77.33901215, 221.16235352],\n",
              "        [ 76.73112488, 220.29249573],\n",
              "        [ 76.13716888, 219.41368103],\n",
              "        [ 75.55756378, 218.52593994],\n",
              "        [ 74.99272156, 217.62928772],\n",
              "        [ 74.44306183, 216.7237854 ],\n",
              "        [ 73.90899658, 215.80947876],\n",
              "        [ 73.39094543, 214.8863678 ],\n",
              "        [ 72.889328  , 213.95452881],\n",
              "        [ 72.40455627, 213.01397705],\n",
              "        [ 71.93704224, 212.06477356],\n",
              "        [ 71.48721313, 211.10691833],\n",
              "        [ 71.05547333, 210.14048767],\n",
              "        [ 70.64225006, 209.16549683],\n",
              "        [ 70.24795532, 208.18199158],\n",
              "        [ 69.8730011 , 207.19000244],\n",
              "        [ 69.54187012, 206.25941467],\n",
              "        [ 69.22902679, 205.32443237],\n",
              "        [ 68.93431854, 204.38523865],\n",
              "        [ 68.6576004 , 203.44204712],\n",
              "        [ 68.39871216, 202.49502563],\n",
              "        [ 68.15752411, 201.54440308],\n",
              "        [ 67.93386841, 200.59034729],\n",
              "        [ 67.72760773, 199.6330719 ],\n",
              "        [ 67.53858948, 198.67274475],\n",
              "        [ 67.3666687 , 197.70959473],\n",
              "        [ 67.21168518, 196.74378967],\n",
              "        [ 67.07350159, 195.77554321],\n",
              "        [ 66.9519577 , 194.80503845],\n",
              "        [ 66.8469162 , 193.83247375],\n",
              "        [ 66.75822449, 192.85804749],\n",
              "        [ 66.68572998, 191.88194275],\n",
              "        [ 66.62928772, 190.90437317],\n",
              "        [ 66.58874512, 189.92552185],\n",
              "        [ 66.56395721, 188.9455719 ],\n",
              "        [ 66.55477142, 187.9647522 ],\n",
              "        [ 66.56104279, 186.98323059],\n",
              "        [ 66.58261871, 186.00120544],\n",
              "        [ 66.61934662, 185.01887512],\n",
              "        [ 66.67108917, 184.03643799],\n",
              "        [ 66.73768616, 183.05407715],\n",
              "        [ 66.81899261, 182.07200623],\n",
              "        [ 66.91485596, 181.09039307],\n",
              "        [ 67.02513885, 180.10946655],\n",
              "        [ 67.14968109, 179.12939453],\n",
              "        [ 67.28833008, 178.15039062],\n",
              "        [ 67.44094849, 177.17263794],\n",
              "        [ 67.60738373, 176.19633484],\n",
              "        [ 67.78749084, 175.22166443],\n",
              "        [ 67.98110962, 174.24884033],\n",
              "        [ 68.18809509, 173.27806091],\n",
              "        [ 68.40830231, 172.30949402],\n",
              "        [ 68.64157867, 171.34335327],\n",
              "        [ 68.88777924, 170.37983704],\n",
              "        [ 69.1467514 , 169.41912842],\n",
              "        [ 69.41835022, 168.46144104],\n",
              "        [ 69.70241547, 167.50694275],\n",
              "        [ 69.99881744, 166.55584717],\n",
              "        [ 70.30738831, 165.6083374 ],\n",
              "        [ 70.62799072, 164.66462708],\n",
              "        [ 70.96046448, 163.72489929],\n",
              "        [ 71.30467224, 162.78933716],\n",
              "        [ 71.66046906, 161.8581543 ],\n",
              "        [ 72.02768707, 160.93154907],\n",
              "        [ 72.40618896, 160.00968933],\n",
              "        [ 72.79582977, 159.09280396],\n",
              "        [ 73.19644928, 158.18106079],\n",
              "        [ 73.60791016, 157.2746582 ],\n",
              "        [ 74.03005219, 156.37380981],\n",
              "        [ 74.46273804, 155.47869873],\n",
              "        [ 74.9058075 , 154.58950806],\n",
              "        [ 75.3591156 , 153.70645142],\n",
              "        [ 75.8225174 , 152.82972717],\n",
              "        [ 76.29586029, 151.95950317],\n",
              "        [ 76.77899933, 151.09599304],\n",
              "        [ 77.28591919, 150.21913147],\n",
              "        [ 77.80758667, 149.34925842],\n",
              "        [ 78.34383392, 148.48681641],\n",
              "        [ 78.89452362, 147.63224792],\n",
              "        [ 79.45948792, 146.786026  ],\n",
              "        [ 80.03858948, 145.94859314],\n",
              "        [ 80.63166046, 145.12039185],\n",
              "        [ 81.23855591, 144.30186462],\n",
              "        [ 81.85912323, 143.49346924],\n",
              "        [ 82.49320221, 142.69564819],\n",
              "        [ 83.14064789, 141.90885925],\n",
              "        [ 83.80130005, 141.13352966],\n",
              "        [ 84.47501373, 140.37013245],\n",
              "        [ 85.16162872, 139.61911011],\n",
              "        [ 85.86099243, 138.88090515],\n",
              "        [ 86.5729599 , 138.15596008],\n",
              "        [ 87.29736328, 137.44474792],\n",
              "        [ 88.03406525, 136.74769592],\n",
              "        [ 88.78289795, 136.06524658],\n",
              "        [ 89.54372406, 135.39787292],\n",
              "        [ 90.31637573, 134.7460022 ],\n",
              "        [ 91.10070801, 134.11009216],\n",
              "        [ 91.89656067, 133.49058533],\n",
              "        [ 92.70379639, 132.88793945],\n",
              "        [ 93.52223969, 132.30259705],\n",
              "        [ 94.35175323, 131.73501587],\n",
              "        [ 95.19218445, 131.18562317],\n",
              "        [ 96.04337311, 130.65489197],\n",
              "        [ 96.90516663, 130.14324951],\n",
              "        [ 97.77741241, 129.65115356],\n",
              "        [ 98.65995789, 129.17906189],\n",
              "        [ 99.55265045, 128.72741699],\n",
              "        [100.45534515, 128.29666138],\n",
              "        [101.36787415, 127.88723755],\n",
              "        [102.29008484, 127.4996109 ],\n",
              "        [103.2218399 , 127.13422394],\n",
              "        [104.1629715 , 126.79151917],\n",
              "        [105.11333466, 126.47195435],\n",
              "        [106.07276917, 126.17596436],\n",
              "        [107.04113007, 125.90401459],\n",
              "        [108.01825714, 125.65653992],\n",
              "        [109.0039978 , 125.43399811]]])"
            ]
          },
          "metadata": {},
          "execution_count": 115
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "starting_point = curves[0][0][0]\n",
        "ending_point = curves[0][0][-1]"
      ],
      "metadata": {
        "id": "mHQadtQuxqzq"
      },
      "execution_count": 106,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "starting_point"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "3SHfI2vSyare",
        "outputId": "4c385eb4-89bd-44a5-9820-e55543d7f526"
      },
      "execution_count": 107,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([109.14299774, 125.58000183])"
            ]
          },
          "metadata": {},
          "execution_count": 107
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "ending_point"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "4TvlNFgZy7Kg",
        "outputId": "7a2059b5-e3cf-457c-ce0c-f6785098cff2"
      },
      "execution_count": 108,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([109.0039978 , 125.43399811])"
            ]
          },
          "metadata": {},
          "execution_count": 108
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "X = curves[0][0][:, 0]\n",
        "Y = curves[0][0][:, 1]"
      ],
      "metadata": {
        "id": "6aPBSH110cub"
      },
      "execution_count": 109,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "from scipy.special import comb\n",
        "\n",
        "def get_bezier_parameters(X, Y, degree=3):\n",
        "    if degree < 1:\n",
        "        raise ValueError('degree must be 1 or greater.')\n",
        "    if len(X) != len(Y):\n",
        "        raise ValueError('X and Y must be of the same length.')\n",
        "    if len(X) < degree + 1:\n",
        "        raise ValueError(f'There must be at least {degree + 1} points to '\n",
        "                         f'determine the parameters of a degree {degree} curve.'\n",
        "                         f'Got only {len(X)} points.')\n",
        "\n",
        "    def bpoly(n, t, k):\n",
        "        return t ** k * (1 - t) ** (n - k) * comb(n, k)\n",
        "\n",
        "    def bmatrix(T):\n",
        "        return np.matrix([[bpoly(degree, t, k) for k in range(degree + 1)] for t in T])\n",
        "\n",
        "    def least_square_fit(points, M):\n",
        "        M_ = np.linalg.pinv(M)\n",
        "        return M_ * points\n",
        "\n",
        "    T = np.linspace(0, 1, len(X))\n",
        "    M = bmatrix(T)\n",
        "    points = np.array(list(zip(X, Y)))\n",
        "\n",
        "    final = least_square_fit(points, M).tolist()\n",
        "    final[0] = [X[0], Y[0]]  # Ensure the first point is the start point\n",
        "    final[len(final)-1] = [X[len(X)-1], Y[len(Y)-1]]  # Ensure the last point is the end point\n",
        "    return final"
      ],
      "metadata": {
        "id": "bQ9mya3N0olp"
      },
      "execution_count": 110,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "control_points = get_bezier_parameters(X, Y)"
      ],
      "metadata": {
        "id": "TzVyNN3o1GBu"
      },
      "execution_count": 111,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "print(\"Starting Point:\", starting_point)\n",
        "print(\"Ending Point:\", ending_point)\n",
        "print(\"Control Points:\", control_points)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "KUj2sMyU1PmU",
        "outputId": "e0ed34c1-310f-4216-8cfd-3d8f181c4b17"
      },
      "execution_count": 112,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Starting Point: [109.14299774 125.58000183]\n",
            "Ending Point: [109.0039978  125.43399811]\n",
            "Control Points: [[109.14299774169922, 125.58000183105469], [425.620302693569, 175.51737572884042], [-68.20868880640833, 377.87014392781646], [109.00399780273438, 125.43399810791016]]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "!pip install numpy shapely"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "eVTRsh7eGeWj",
        "outputId": "513a42ac-fcc4-4ba4-efab-e8c38489fe69"
      },
      "execution_count": 116,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Requirement already satisfied: numpy in /usr/local/lib/python3.10/dist-packages (1.26.4)\n",
            "Requirement already satisfied: shapely in /usr/local/lib/python3.10/dist-packages (2.0.5)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "from shapely.geometry import LineString\n",
        "\n",
        "def simplify_shape(points):\n",
        "    # Convert the list of points to a LineString object\n",
        "    line = LineString(points)\n",
        "\n",
        "    # Simplify the LineString using the Douglas-Peucker algorithm\n",
        "    simplified_line = line.simplify(tolerance=0.01)  # Adjust tolerance as needed\n",
        "\n",
        "    # Convert the simplified LineString back to a list of points\n",
        "    simplified_points = np.array(simplified_line.coords).tolist()\n",
        "\n",
        "    return simplified_points\n",
        "\n",
        "# Example usage\n",
        "points = curves[0][0] # Add all your points here\n",
        "simplified_points = simplify_shape(points)\n",
        "\n",
        "print(\"Simplified Points:\", simplified_points)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "NM98iQMpQUJv",
        "outputId": "11829156-851b-48fc-a4d4-f20e7d8ac053"
      },
      "execution_count": 153,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Simplified Points: [[109.14299774169922, 125.58000183105469], [112.18638610839844, 125.30522155761719], [115.22950744628906, 124.9732894897461], [119.2863540649414, 124.47029876708984], [128.40989685058594, 123.27674102783203], [131.44923400878906, 122.91851043701172], [133.4748077392578, 122.70494842529297], [136.5121307373047, 122.4347152709961], [138.53623962402344, 122.29509735107422], [140.55967712402344, 122.193603515625], [141.57113647460938, 122.15868377685547], [143.59349060058594, 122.12354278564453], [145.61509704589844, 122.13874816894531], [146.62559509277344, 122.16675567626953], [148.6459503173828, 122.26664733886719], [149.6558074951172, 122.3397445678711], [151.67483520507812, 122.53530883789062], [152.6840057373047, 122.65899658203125], [154.7144012451172, 122.96405792236328], [156.73077392578125, 123.34232330322266], [157.73316955566406, 123.55842590332031], [159.72528076171875, 124.0436019897461], [161.69911193847656, 124.5981216430664], [162.67861938476562, 124.9009017944336], [164.62176513671875, 125.55655670166016], [165.58499145507812, 125.90904235839844], [167.49362182617188, 126.66236114501953], [168.43862915039062, 127.06280517578125], [170.30889892578125, 127.91032409667969], [171.23374938964844, 128.35699462890625], [173.0618133544922, 129.2952423095703], [173.964599609375, 129.7864227294922], [175.74659729003906, 130.81192016601562], [176.62538146972656, 131.34585571289062], [178.3574676513672, 132.45513916015625], [179.2103271484375, 133.03012084960938], [180.88864135742188, 134.2197265625], [181.7136688232422, 134.833984375], [183.33438110351562, 136.1004638671875], [184.91453552246094, 137.41624450683594], [185.68887329101562, 138.09214782714844], [186.4524383544922, 138.77980041503906], [187.94650268554688, 140.18939208984375], [188.67697143554688, 140.9105682373047], [190.10472106933594, 142.38455200195312], [190.8019561767578, 143.13694763183594], [192.16297912597656, 144.6715545654297], [192.8267364501953, 145.453369140625], [194.12054443359375, 147.04502868652344], [194.7505645751953, 147.85447692871094], [195.9766845703125, 149.49960327148438], [196.57273864746094, 150.33489990234375], [197.7306671142578, 152.02992248535156], [198.29249572753906, 152.88926696777344], [199.38174438476562, 154.63063049316406], [200.42494201660156, 156.40087890625], [201.421875, 158.19842529296875], [201.90292358398438, 159.10694885253906], [202.8300323486328, 160.94247436523438], [203.2760467529297, 161.8690948486328], [204.1328582763672, 163.73902893066406], [204.54359436035156, 164.68194580078125], [205.32960510253906, 166.58270263671875], [205.704833984375, 167.54014587402344], [206.41957092285156, 169.46815490722656], [206.759033203125, 170.43832397460938], [207.40199279785156, 172.38999938964844], [208.01927185058594, 174.44024658203125], [208.30667114257812, 175.4733428955078], [208.8341827392578, 177.55345153808594], [209.07241821289062, 178.59970092773438], [209.4930877685547, 180.70262145996094], [209.67361450195312, 181.7584991455078], [209.83302307128906, 182.81680297851562], [209.9703369140625, 183.8771514892578], [210.08462524414062, 184.9391326904297], [210.1749267578125, 186.0023651123047], [210.24029541015625, 187.0664520263672], [210.27978515625, 188.13099670410156], [210.2924346923828, 189.1956024169922], [210.27731323242188, 190.25990295410156], [210.23345947265625, 191.323486328125], [210.159912109375, 192.38595581054688], [210.05575561523438, 193.44692993164062], [209.9199981689453, 194.50599670410156], [209.74794006347656, 195.58335876464844], [209.54348754882812, 196.6536865234375], [209.30767822265625, 197.71676635742188], [209.04151916503906, 198.77232360839844], [208.7460479736328, 199.82012939453125], [208.42225646972656, 200.85995483398438], [208.07119750976562, 201.89154052734375], [207.69387817382812, 202.91464233398438], [207.2913055419922, 203.9290313720703], [206.86451721191406, 204.9344482421875], [206.41453552246094, 205.9306640625], [205.94236755371094, 206.91744995117188], [205.4490509033203, 207.89453125], [204.9355926513672, 208.86167907714844], [204.40301513671875, 209.81866455078125], [203.85235595703125, 210.76522827148438], [202.70082092285156, 212.6261444091797], [202.1020050048828, 213.5399932861328], [200.9624786376953, 215.1958770751953], [200.37559509277344, 216.01026916503906], [199.1685333251953, 217.6120147705078], [198.54867553710938, 218.3994140625], [197.2772674560547, 219.9473876953125], [195.96475219726562, 221.45970153808594], [194.612548828125, 222.93653869628906], [193.92201232910156, 223.6616973876953], [192.51296997070312, 225.08560180664062], [191.06781005859375, 226.4744110107422], [189.58798217773438, 227.8282928466797], [188.83551025390625, 228.4921875], [187.3063201904297, 229.79397583007812], [185.74603271484375, 231.0612335205078], [184.1560516357422, 232.2941436767578], [183.35037231445312, 232.8977508544922], [181.7185516357422, 234.0793914794922], [180.06060791015625, 235.22708129882812], [178.3779754638672, 236.3409423828125], [176.67208862304688, 237.42117309570312], [174.94436645507812, 238.46792602539062], [173.1962432861328, 239.48133850097656], [171.4291534423828, 240.4615936279297], [169.64450073242188, 241.40884399414062], [167.84373474121094, 242.3232421875], [166.0282745361328, 243.20497131347656], [164.19955444335938, 244.05416870117188], [162.35899353027344, 244.87100219726562], [160.45437622070312, 245.67819213867188], [158.5338134765625, 246.451904296875], [156.5979461669922, 247.18894958496094], [154.6473846435547, 247.88613891601562], [152.6827392578125, 248.5403289794922], [150.70465087890625, 249.14834594726562], [149.71075439453125, 249.4340362548828], [147.71365356445312, 249.96681213378906], [145.70465087890625, 250.44546508789062], [143.68438720703125, 250.86685180664062], [142.6702117919922, 251.0550537109375], [140.6342010498047, 251.38455200195312], [139.6125030517578, 251.52503967285156], [137.56214904785156, 251.75550842285156], [136.53363037109375, 251.84469604492188], [134.43032836914062, 251.97042846679688], [133.35682678222656, 252.00489807128906], [132.2828826904297, 252.01943969726562], [130.1350555419922, 251.9889678955078], [129.06192016601562, 251.9440460205078], [126.91899108886719, 251.7950897216797], [125.84993743896484, 251.69113159179688], [123.71844482421875, 251.42453002929688], [122.65673828125, 251.26197814941406], [120.54322052001953, 250.8785858154297], [118.44532775878906, 250.4178466796875], [117.40314483642578, 250.15858459472656], [115.3341293334961, 249.58248901367188], [114.30802154541016, 249.26577758789062], [113.28800201416016, 248.92999267578125], [111.32832336425781, 248.22494506835938], [110.35888671875, 247.84690856933594], [108.4411849975586, 247.0413818359375], [106.5521469116211, 246.17190551757812], [104.69233703613281, 245.2409210205078], [103.7735595703125, 244.7531280517578], [101.95860290527344, 243.7344512939453], [100.17424011230469, 242.6603546142578], [98.4210205078125, 241.53326416015625], [97.55625915527344, 240.95062255859375], [95.85078430175781, 239.74862670898438], [94.17782592773438, 238.49974060058594], [92.53793334960938, 237.2063751220703], [90.93165588378906, 235.87098693847656], [89.35953521728516, 234.4960174560547], [87.82213592529297, 233.0838623046875], [86.31999969482422, 231.63699340820312], [84.82626342773438, 230.12791442871094], [83.36827850341797, 228.5811309814453], [81.94937133789062, 226.99697875976562], [81.25560760498047, 226.1909637451172], [79.90156555175781, 224.55130004882812], [78.59491729736328, 222.87498474121094], [77.3390121459961, 221.162353515625], [76.73112487792969, 220.29249572753906], [75.55756378173828, 218.52593994140625], [74.99272155761719, 217.62928771972656], [73.90899658203125, 215.80947875976562], [73.39094543457031, 214.88636779785156], [72.40455627441406, 213.01397705078125], [71.93704223632812, 212.0647735595703], [71.48721313476562, 211.10691833496094], [71.05547332763672, 210.14048767089844], [70.64225006103516, 209.16549682617188], [70.24795532226562, 208.18199157714844], [69.5418701171875, 206.25941467285156], [68.93431854248047, 204.38523864746094], [68.39871215820312, 202.49502563476562], [68.15752410888672, 201.54440307617188], [67.72760772705078, 199.63307189941406], [67.36666870117188, 197.7095947265625], [67.07350158691406, 195.77554321289062], [66.95195770263672, 194.80503845214844], [66.75822448730469, 192.85804748535156], [66.62928771972656, 190.9043731689453], [66.56395721435547, 188.94557189941406], [66.55477142333984, 187.96475219726562], [66.5826187133789, 186.00120544433594], [66.67108917236328, 184.03643798828125], [66.8189926147461, 182.07200622558594], [66.91485595703125, 181.09039306640625], [67.1496810913086, 179.12939453125], [67.44094848632812, 177.17263793945312], [67.78749084472656, 175.22166442871094], [67.98110961914062, 174.24884033203125], [68.4083023071289, 172.3094940185547], [68.88777923583984, 170.3798370361328], [69.41835021972656, 168.46144104003906], [69.99881744384766, 166.55584716796875], [70.62799072265625, 164.6646270751953], [71.30467224121094, 162.78933715820312], [72.0276870727539, 160.93154907226562], [72.79582977294922, 159.09280395507812], [73.60791015625, 157.274658203125], [74.46273803710938, 155.47869873046875], [75.35911560058594, 153.70645141601562], [76.29586029052734, 151.95950317382812], [77.28591918945312, 150.21913146972656], [78.34383392333984, 148.48681640625], [78.89452362060547, 147.6322479248047], [80.03858947753906, 145.94859313964844], [81.23855590820312, 144.30186462402344], [82.49320220947266, 142.69564819335938], [83.1406478881836, 141.9088592529297], [84.47501373291016, 140.37013244628906], [85.16162872314453, 139.61911010742188], [86.57295989990234, 138.1559600830078], [87.29736328125, 137.4447479248047], [88.78289794921875, 136.06524658203125], [90.31637573242188, 134.74600219726562], [91.1007080078125, 134.11009216308594], [91.89656066894531, 133.49058532714844], [92.70379638671875, 132.887939453125], [93.5222396850586, 132.30259704589844], [94.35175323486328, 131.73501586914062], [95.19218444824219, 131.1856231689453], [96.04337310791016, 130.65489196777344], [96.90516662597656, 130.14324951171875], [97.77741241455078, 129.65115356445312], [98.65995788574219, 129.17906188964844], [99.55265045166016, 128.7274169921875], [100.4553451538086, 128.29666137695312], [101.36787414550781, 127.88723754882812], [102.29008483886719, 127.4996109008789], [103.22183990478516, 127.13422393798828], [104.16297149658203, 126.79151916503906], [105.11333465576172, 126.47195434570312], [106.07276916503906, 126.17596435546875], [107.04113006591797, 125.90401458740234], [108.01825714111328, 125.65653991699219], [109.00399780273438, 125.43399810791016]]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "simplified_array = np.array(simplified_points)"
      ],
      "metadata": {
        "id": "poaUR_ZrRQ0M"
      },
      "execution_count": 154,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "import matplotlib.pyplot as plt\n",
        "\n",
        "x_values = simplified_array[:, 0]\n",
        "y_values = simplified_array[:, 1]\n",
        "\n",
        "plt.scatter(x_values, y_values)\n",
        "\n",
        "plt.xlabel('X-axis')\n",
        "plt.ylabel('Y-axis')\n",
        "\n",
        "plt.title('Simplified Points Visualization')\n",
        "\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "id": "ilcEa8s1SA26",
        "outputId": "14b52858-2397-4914-996e-05308623f890"
      },
      "execution_count": 155,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.plot(x_values, y_values, marker='o', linestyle='-')\n",
        "\n",
        "plt.xlabel('X-axis')\n",
        "plt.ylabel('Y-axis')\n",
        "\n",
        "plt.title('Connected Points Visualization')\n",
        "\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "id": "9gFhosrhS4BC",
        "outputId": "ccdf5634-839b-4793-f4e3-c095e3b44709"
      },
      "execution_count": 156,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "from scipy.optimize import least_squares\n",
        "from scipy.spatial.distance import cdist\n",
        "\n",
        "def fit_circle_to_points(points):\n",
        "    \"\"\"\n",
        "    Fits a circle to a set of points using least squares.\n",
        "\n",
        "    :param points: An Nx2 array of points.\n",
        "    :return: A tuple (center_x, center_y, radius) representing the fitted circle.\n",
        "    \"\"\"\n",
        "    def residual(params, points):\n",
        "        \"\"\"\n",
        "        Residual function for least squares optimization.\n",
        "\n",
        "        :param params: Tuple (center_x, center_y, radius).\n",
        "        :param points: An Nx2 array of points.\n",
        "        :return: Residuals as a 1D array.\n",
        "        \"\"\"\n",
        "        center_x, center_y, radius = params\n",
        "        dist_matrix = cdist(points, [(center_x, center_y)])\n",
        "        # Extract the diagonal elements of the distance matrix\n",
        "        distances = dist_matrix.diagonal()\n",
        "        return distances - radius\n",
        "\n",
        "    # Initial guess for the circle parameters\n",
        "    initial_guess = (np.mean(points[:, 0]), np.mean(points[:, 1]), np.std(points))\n",
        "\n",
        "    # Perform least squares optimization\n",
        "    result = least_squares(residual, initial_guess, args=(points,))\n",
        "\n",
        "    # Extract optimized parameters\n",
        "    center_x, center_y, radius = result.x\n",
        "\n",
        "    return center_x, center_y, radius\n",
        "\n",
        "def is_fit_circular(points, threshold=0.01):\n",
        "    \"\"\"\n",
        "    Determines if the fitted circle is likely to represent a true circle.\n",
        "\n",
        "    :param points: An Nx2 array of points.\n",
        "    :param threshold: Maximum allowed mean residual.\n",
        "    :return: True if the fit is likely a circle, False otherwise.\n",
        "    \"\"\"\n",
        "    # Fit a circle to the points\n",
        "    center_x, center_y, radius = fit_circle_to_points(points)\n",
        "\n",
        "    # Calculate the residuals\n",
        "    residuals = cdist(points, [(center_x, center_y)]) - radius\n",
        "\n",
        "    # Check if the mean residual is within the threshold\n",
        "    mean_residual = np.mean(np.abs(residuals))\n",
        "    return mean_residual <= threshold\n",
        "\n",
        "# Example usage\n",
        "points = simplified_array\n",
        "is_circle = is_fit_circular(points)\n",
        "if is_circle:\n",
        "    print(\"The shape is likely to be a circle.\")\n",
        "else:\n",
        "    print(\"The shape is not a circle.\")\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "collapsed": true,
        "id": "toMLZtyqT9Dw",
        "outputId": "ea99e037-00cf-478a-f018-74c3e2602934"
      },
      "execution_count": 139,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "The shape is not a circle.\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "!pip install circle_fit"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ow53A3jNWbb8",
        "outputId": "5209c6b0-0e20-4bea-fbe7-d09e0a072971"
      },
      "execution_count": 140,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Collecting circle_fit\n",
            "  Downloading circle_fit-0.2.1-py3-none-any.whl.metadata (5.2 kB)\n",
            "Requirement already satisfied: numpy>=1.21.0 in /usr/local/lib/python3.10/dist-packages (from circle_fit) (1.26.4)\n",
            "Requirement already satisfied: scipy in /usr/local/lib/python3.10/dist-packages (from circle_fit) (1.13.1)\n",
            "Downloading circle_fit-0.2.1-py3-none-any.whl (9.4 kB)\n",
            "Installing collected packages: circle_fit\n",
            "Successfully installed circle_fit-0.2.1\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import circle_fit as cf\n",
        "\n",
        "points = simplified_array\n",
        "\n",
        "xc, yc, r, _ = cf.least_squares_circle(points)\n",
        "\n",
        "plt.figure(figsize=(6, 6))\n",
        "plt.scatter(points[:, 0], points[:, 1], color='red', label='Points')\n",
        "plt.gca().add_patch(plt.Circle((xc, yc), r, fill=False, color='blue', linewidth=2, label='Fitted Circle'))\n",
        "plt.legend()\n",
        "plt.grid(True)\n",
        "plt.title('Fitted Circle to Points')\n",
        "plt.xlabel('X')\n",
        "plt.ylabel('Y')\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 564
        },
        "id": "5RoshteNVwBD",
        "outputId": "42a2392b-1b90-44fb-fb75-6d28891210b9"
      },
      "execution_count": 144,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 600x600 with 1 Axes>"
            ],
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAAhwAAAIjCAYAAABI0sIEAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAACg2klEQVR4nOzdd3hT1RvA8W9aOtmFQoGWFhkCioDIUoEiG2QVVGQjirIEUVEUoSCI8weIiCJToIBAARkyZM+iKFNEVPYe0jJKW9L8/jgkTdusjsy+n+fJQ3LvuTfn0rT3zRnv0eh0Oh1CCCGEEHbk5ewKCCGEEMLzScAhhBBCCLuTgEMIIYQQdicBhxBCCCHsTgIOIYQQQtidBBxCCCGEsDsJOIQQQghhdxJwCCGEEMLuJOAQQgghhN1JwCGEg5w6dQqNRsOcOXOcWo85c+ag0Wg4depUrp5Xo9EQHR2da+eLjIwkMjIy187nDlzlMyKEPUjAIUQu0d/ITT3effddk8esXbvW5E367t27REdHs3XrVvtW2gYHDhyge/fuhIWF4efnR1BQEE2bNmX27NlotVpnV89mMTExTJo0KdfPGxkZme5nHRQURO3atZk1axapqam5/n7muNJnRghT8jm7AkJ4mrFjx1KuXLl02x599FHCw8NJTEzEx8fHsH3t2rVMnTo1U9Bx9+5dxowZA+DUb/kzZszgtddeo2TJkvTo0YOKFSty69YtNm3aRN++fbl48SLvvfceAImJieTL57p/UmJiYjhy5AhDhw7N9XOHhoYyYcIEAK5evcr3339P3759+euvv/j4449tPo+pz4itXOUzI4Q5rvvXQQg31apVK5544gmT+/z9/R1cm+zbu3cvr732GvXr12ft2rUULFjQsG/o0KH8+uuvHDlyxLDNlmu7c+cO+fPnt0t9nalw4cJ0797d8PrVV1/l4Ycf5quvvuLDDz+0OYDQaDRu9RkRIiukS0UIB8nYP9+7d2+mTp0KkK5J/tSpUwQHBwMwZswYw3bjVpA///yTzp07ExQUhL+/P0888QQ//vhjpvc8evQozzzzDAEBAYSGhjJu3Dibm/n1771gwYJ0wYbeE088Qe/evQ2vM9YxOjoajUbDH3/8QdeuXSlatChPP/20Yf/8+fOpU6cOgYGBFC1alIYNG7JhwwaLdUpKSmL06NFUqFABPz8/wsLCGD58OElJSRaPi4yMZM2aNZw+fdrw/xkREWHYf+XKFfr27UvJkiXx9/enevXqzJ071/J/kAWBgYHUq1ePO3fucPXqVQD+/fdfnnvuOYKCggz716xZk+44U2M4evfuTYECBTh//jwdOnSgQIECBAcH89Zbbxm6tKx9Zi5dukSfPn0IDQ3Fz8+PUqVK0b59+1wfxyOEJdLCIUQui4+P59q1a+m2FS9ePFO5V199lQsXLrBx40bmzZtn2B4cHMy0adPo378/HTt2JCoqCoDHHnsMUEHEU089RZkyZXj33XfJnz8/P/zwAx06dGDZsmV07NgRUDeZxo0bc//+fUO56dOnExAQYPUa7t69y6ZNm2jYsCFly5bN9v8FwHPPPUfFihX56KOP0Ol0gLopRkdH8+STTzJ27Fh8fX2Ji4tj8+bNNG/e3OR5UlNTadeuHTt37qRfv35UqVKFw4cPM3HiRP766y9WrFhhtg7vv/8+8fHxnDt3jokTJwJQoEABQHUFRUZG8vfffzNo0CDKlSvHkiVL6N27Nzdv3mTIkCHZuu5///0Xb29vihQpwuXLl3nyySe5e/cur7/+OsWKFWPu3Lm0a9eOpUuXGn5m5mi1Wlq0aEHdunX5/PPP+fnnn/niiy8oX748/fv3t/qZ6dSpE0ePHmXw4MFERERw5coVNm7cyJkzZ9IFXkLYlU4IkStmz56tA0w+dDqd7uTJkzpAN3v2bMMxAwcO1Jn6Nbx69aoO0I0ePTrTviZNmuiqVaumu3fvnmFbamqq7sknn9RVrFjRsG3o0KE6QBcXF2fYduXKFV3hwoV1gO7kyZNmr+XgwYM6QDdkyBCbrz9jfUePHq0DdC+++GK6cidOnNB5eXnpOnbsqNNqten2paamGp43atRI16hRI8PrefPm6by8vHQ7duxId8w333yjA3S7du2yWL82bdrowsPDM22fNGmSDtDNnz/fsC05OVlXv359XYECBXQJCQkWz9uoUSNd5cqVdVevXtVdvXpVd+zYMd3rr7+uA3Rt27bV6XRpPwvjut+6dUtXrlw5XUREhOH/wdRnpFevXjpAN3bs2HTvW7NmTV2tWrUMr819Zv777z8doPvss88sXocQ9iZdKkLksqlTp7Jx48Z0j9xy48YNNm/ezPPPP8+tW7e4du0a165d4/r167Ro0YITJ05w/vx5QA1IrVevHnXq1DEcHxwcTLdu3ay+T0JCAoDJrpSseu2119K9XrFiBampqYwaNQovr/R/gjQajdnzLFmyhCpVqlC5cmXDdV+7do1nnnkGgC1btmSrfmvXriUkJIQXX3zRsM3Hx4fXX3+d27dvs23bNqvn+PPPPwkODiY4OJgqVaowZcoU2rRpw6xZswzvUadOnXRdSgUKFKBfv36cOnWKP/74w+p7ZPx/bNCgAf/++6/V4wICAvD19WXr1q38999/VssLYS/SpSJELqtTp47ZQaM59ffff6PT6fjggw/44IMPTJa5cuUKZcqU4fTp09StWzfT/ocfftjq+xQqVAiAW7du5azCkGnGzj///IOXlxdVq1bN0nlOnDjBsWPHDGMVMrpy5Uq26nf69GkqVqyYKfipUqWKYb81ERERfPfdd4ZBnxUrVqREiRLp3sPUz8L4PR599FGz5/f398903UWLFrUpgPDz8+OTTz7hzTffpGTJktSrV49nn32Wnj17EhISYvV4IXKLBBxCuBH9gM+33nqLFi1amCxToUKFHL9PhQoVyJcvH4cPH87xuWwZM2KL1NRUqlWrxv/+9z+T+8PCwnLlfbIjf/78NG3a1G7n9/b2ztHxQ4cOpW3btqxYsYL169fzwQcfMGHCBDZv3kzNmjVzqZZCWCYBhxBOZK4Lwdz2hx56CFBN/tZucOHh4Zw4cSLT9uPHj1utV2BgIM888wybN2/m7NmzuXozL1++PKmpqfzxxx/UqFEjS8cdPHiQJk2aWOx6McfcMeHh4Rw6dIjU1NR0rRx//vmnYX9OhYeHm/x/z833sPZ/Ur58ed58803efPNNTpw4QY0aNfjiiy+YP39+jt9bCFvIGA4hnEifk+LmzZvptgcGBprcXqJECSIjI/n222+5ePFipvPpp2ACtG7dmr1797Jv3750+xcsWGBT3UaPHo1Op6NHjx7cvn070/79+/dna+pohw4d8PLyYuzYsZmm6OoezGIx5fnnn+f8+fN89913mfYlJiZy584di++bP39+4uPjM21v3bo1ly5dYvHixYZt9+/fZ8qUKRQoUIBGjRpZuySrWrduzb59+9izZ49h2507d5g+fToRERFZ7l4yxdxn5u7du9y7dy/dtvLly1OwYEGr04mFyE3SwiGEE9WqVQuA119/nRYtWuDt7U2XLl0ICAigatWqLF68mEqVKhEUFMSjjz7Ko48+ytSpU3n66aepVq0ar7zyCg899BCXL19mz549nDt3joMHDwIwfPhw5s2bR8uWLRkyZIhhWqz+G701Tz75JFOnTmXAgAFUrlw5XabRrVu38uOPPzJu3LgsX3OFChV4//33+fDDD2nQoAFRUVH4+fnxyy+/ULp0aUPGzox69OjBDz/8wGuvvcaWLVt46qmn0Gq1/Pnnn/zwww+sX7/e4tiZWrVqsXjxYoYNG0bt2rUpUKAAbdu2pV+/fnz77bf07t2b/fv3ExERwdKlS9m1axeTJk3KlYGz7777LgsXLqRVq1a8/vrrBAUFMXfuXE6ePMmyZcsyjR/JDnOfmfv379OkSROef/55qlatSr58+Vi+fDmXL1+mS5cuOX5fIWzm5FkyQngM/bTYX375xeR+U1Me79+/rxs8eLAuODhYp9Fo0k2R3b17t65WrVo6X1/fTNMd//nnH13Pnj11ISEhOh8fH12ZMmV0zz77rG7p0qXp3vPQoUO6Ro0a6fz9/XVlypTRffjhh7qZM2danRZrbP/+/bquXbvqSpcurfPx8dEVLVpU16RJE93cuXPTTWvNWEf9tNirV6+aPO+sWbN0NWvW1Pn5+emKFi2qa9SokW7jxo2G/Rmnxep0arrqJ598onvkkUcMx9WqVUs3ZswYXXx8vMXruH37tq5r1666IkWK6IB0U2QvX76s69Onj6548eI6X19fXbVq1dL9nCxp1KiR7pFHHrFa7p9//tF17txZV6RIEZ2/v7+uTp06utWrV6crY25abP78+TOdT///a8zUZ+batWu6gQMH6ipXrqzLnz+/rnDhwrq6devqfvjhB5uuT4jcotHpLLRhCiGEEELkAhnDIYQQQgi7k4BDCCGEEHYnAYcQQggh7E4CDiGEEELYnQQcQgghhLA7CTiEEEIIYXdOTfw1YcIEYmNj+fPPPwkICODJJ5/kk08+ybS41J49e3j//feJi4vD29ubGjVqsH79esMaDTdu3GDw4MGsWrUKLy8vOnXqxOTJkylQoIBN9UhNTeXChQsULFgwWymThRBCiLxKp9Nx69YtSpcubTmJnTOTgLRo0UI3e/Zs3ZEjR3QHDhzQtW7dWle2bFnd7du3DWV2796tK1SokG7ChAm6I0eO6P7880/d4sWLdffu3TOUadmypa569eq6vXv36nbs2KGrUKGC7sUXX7S5HmfPntUB8pCHPOQhD3nII5uPs2fPWrzXulTir6tXr1KiRAm2bdtGw4YNAahXrx7NmjXjww8/NHnMsWPHqFq1Kr/88oshrfG6deto3bo1586do3Tp0lbfNz4+niJFinDy5En27NlD8+bN8fHxyb0LczEpKSls2LDB468T5Fo9lVyrZ8or1+pp15mQkEBYWBg3b96kcOHCZsu51Foq+oWVgoKCALhy5QpxcXF069aNJ598kn/++YfKlSszfvx4nn76aUB1txQpUiTdGgpNmzbFy8uLuLg4OnbsmOl9kpKS0i1adOvWLQD8/f0JDAwkICDAIz4E5uTLly9PXCfItXoquVbPlFeu1dOuMyUlBbC+YrHLtHCkpqbSrl07bt68yc6dOwHYu3cv9evXJygoiM8//5waNWrw/fff8/XXX3PkyBEqVqzIRx99xNy5czMt/VyiRAnGjBlD//79M71XdHQ0Y8aMybQ9JibGsOKiEEIIIay7e/cuXbt2JT4+nkKFCpkt5zItHAMHDuTIkSOGYAMwLF396quv0qdPHwBq1qzJpk2bmDVrltlVJa0ZMWIEw4YNM7zWNwc1btyYuLg4mjVr5hFRpzkpKSls3LjR468T5Fo9lVyrZ8or1+pp15mQkGBTOZcIOAYNGsTq1avZvn07oaGhhu2lSpUCoGrVqunKV6lShTNnzgAQEhLClStX0u2/f/8+N27cICQkxOT7+fn54efnl2m7/gfv4+PjER8Ca/LKdYJcq6eSa/VMeeVaPeU6bb0Gp+bh0Ol0DBo0iOXLl7N582bKlSuXbn9ERASlS5fO1F3y119/ER4eDkD9+vW5efMm+/fvN+zfvHkzqamp1K1b1/4XIYQQQgirnNrCMXDgQGJiYli5ciUFCxbk0qVLABQuXJiAgAA0Gg1vv/02o0ePpnr16tSoUYO5c+fy559/snTpUkC1drRs2ZJXXnmFb775hpSUFAYNGkSXLl1smqEihBBCCPtzasAxbdo0ACIjI9Ntnz17Nr179wZg6NCh3Lt3jzfeeIMbN25QvXp1Nm7cSPny5Q3lFyxYwKBBg2jSpIkh8deXX37pqMsQQgghhBVODThsnSDz7rvv8u6775rdHxQURExMTG5VSwghhBC5TNZSEUIIIYTdScAhhBBCCLuTgEMIIYQQdicBhxBCCCHsTgIOIYQQQtidBBxCCCGEsDsJOIQQQghhdxJwCCGEEMLuJOAQQgghhN25xGqxQgjPk5wMly9DQgLcupX2r/5h/PrOHdBqITVVPbRa0OnAyyv9I18+KFAAihSBJ56A6dOhYMG0R6FC6t/ChaFECVVeCOEa5NdRCJElOh1cuwbnzsGFC3D+vOl/r161Xx0CAmDhQnj7bUhMNF1Go4GSJaFMGShd2vS/oaFQtKj96imESCMBhxDCpJQU+Ocf+PPPzI/4eGfXzjqdDi5dUo/9+82XCw6GypXV4+GH055HRIC3t8OqK4THk4BDiDxOp4OzZ+GXX+DXX+GPP1RQ8e+/cP9+1s/n4wOlSqkWhJAQ1f2h7+rI2PWhfxQooLo/jLtPNBpVN+NulpQUuH1bdcfcuQPffmu6u+a//1Qry4ULcPGiOt6cq1fVY8eO9Nv9/KBiRRV8PPKI6sKpXVu1mgghsk4CDiHymGvXVHChf+zbB1eu2H58eLiOh4P/I7zgDUqHelGmeBKl812hTKX8lG5Tk+IlvfHSadUd/OJFNZgC1JuUKgVPPgm7d6t9hUpBzQaqKUFr4ZgGDdI1N6SkwNq10KWLCnAs0WrVaUx1/Zw6BcePq9cZJSXBkSPqsXRp2vayZVXgUbs21KkDtWqpAEoIYZkEHEJ4MJ0Ojh6FTZvUPf6XX+DkSevHBXCXhzlOZf5Uj6CrPPxeJyqVvk3g8EHw6znTB4aGwosvqgEW58yU0QcXWTkmNBQmT4b27dOCksBAdR4rEYe3t4pZSpUyXyYhQQUeGbuOTpxQwY2xM2fUY9ky9VqjUV0xderAU09Bkybw0ENquxAijQQcQniYM2dg61YVZGzerGaKWFJUc5Pa4ZepfX09tW9tojoHKcsZvNClFfpPA29Ns/7m587BZ59ZLmMcbNh6zPnz0KkTFCsG16+njRqtVEltb98+UytIVhQqlNZqYez+fdW1dOBAWovQr7+q7hw9nS4tQPn+e7UtPFwFHk2awDPPqK4lIfI6CTiEcHNXr6rAYts2aNECqlUzP3MjgLvUYj+1+YXa/EId9vGQ7l80p6y8iU5npYCd6d//+vX0269dg0mT1MNUK4iVrhlr8uVTMU2lSvD882qbVquCC3131C+/wMGD6VtCTp+GWbPUA9QYEH0A0qiRmrYrRF4jAYcQbuivv2D5cvWIi1PbAgJUwGGsoOYWjXRbacImItnKoxwhH9rMJ/QE586lbwUxxVRQksVAxNtbBRCPPAK9e6ttSUnw+++wZYtqWdq5U23TO3pUPb78Uh3fqBF07AgdOqgqCZEXSMAhhBvQ3dfy+6zfWf6TP8sPlOPoqfxmyz7NThqwmab8zBO6X/EhG1NN3Jm5YAMyd83o6QORqKhsvaWfH9Srpx4jRqgWpt27VfCxaZPqhtHPlNFqVYvU5s0weLAa+9Gxo3o8/HC23l4ItyABhxAuSquFXbsg9tO/WbHOj9PaJ0yWq8YhWmnW8wxbuUc/1tAGH8z0qeR15rpmzp+Hzp3hhx+gePFstXwYCwhI60IBuHlTdXn9/DOsWZN+4O6+feoxYgRUrZoWfDz+uAw8FZ5FAg4hXIlWy5Hvf2PusgLM3/MQl274ARUyFavPbjqynI4spwL/gA5SCGAt/RxfZ0+gD0S6dMk8gyYHLR96RYqoXpz27VW3yqFDaV1ihw6llfvjD/UYPx7Kl4eePaFbtxy9tRAuQwIOIZxNq+X66j0snHSZOTvLs/9+7UxF8pHCM2ymI8tpz0pKcckJFX1An5HLE2WcQaNv+YiOVlnAcjgIFdR/X/Xq6hEdrbK5rlihgo/du9P+a//5B0aPho8/VhNyYmJUb1CBAjm9SCGcQwIOIZxBqyVly05++vIEc9aHsDq5OSn4piviQzJtWENnltKGNRTBifnEw8LUTBCAIUPM58sIC1OtBFnJw2HLMfoxF44OdvTvNXq06f250AJSvjy8+aZ6XLoEP/4IS5aosR/Gl9q/PwwcqOKfXr3UwFMvWe9buBEJOIRwsL+nrufrd88w/3Z7rtIo0/5a/Epv5tCFRRTHwgDI3GLuhh8crNrzM+a4sGXa6YQJtmUatfWYBg1g5UrLwY4z5PLYj5AQ6NdPPc6ehXnzYNGitP137sDcueoRHq5myfTrpxajE8LVScAhhL1ptei27+DnjTomLyvD2r+aoSP9V9MQLtKd+fRiLo9yNPfeW98ikHFWhqlgwviGb+mm6e0NkZGW39daGVP7rB0TFZUW7KxenXm/M1pB7Dj2IywM3nsP3noLfvoJXnoJ5s9PWzjv9GkYM0aN93j+eRWL1amTg2sRws4k4BDCHh6sC3Jn6U/Mm6PlyzsvcYyq6Yr4kkQHVtCLuTRng33yY4SGqq4QW/JO2BJIOJu+jk89pRZTWbNG9UPY2gpir6DE3NiPXGj50M9UmThRJWT98UeYMwc2bFBTbe/fV+M7YmKgbl11+Z06ga+vxdMK4XAScAiR22JjOTXwM6ZeimIG73KToul2h3GGQXxFX2ZSjBu5854aTdqdKeNNWH+Dc/VgIjuefjr9WirGrSBZ6ZrJOK4kp+zU8hEQAC+8oB7nzsG0aWrFXH3jVVwcdO2qLnXAANXdov8vEMLZJOAQIhf98ukWJrwDK9lJKum/yTZgO0OYTHtWZr01I+MN0dQCaPpBnRlvwnlNVrpm9C0PV6+quzi4TctHaKjqThk5UrVu6KfbgjrtBx/AuHEqAHn3XZWeXQhnkoBDiJx40HWyd3syY9c8zk/7Gqfb7UsSXYnhdb6kJgey9x4ajRo5aHyDMjXwMjVVdTMI60wFJd7e9h+UaoeWj4AA6NtXjfHYtk2d5scf1cchKQlmz1aDTLt0UcFJlSq5dC1CZJEEHEJkV2wsO1+bz9irr7GR5ul2leICA/iafkynBFez/x766aimbkQZb5j63NkiezK2fJw4oabD2mMQqrmWj6VLs93dotGoj0RkpMpk+vXXMGOGynKamqpaQRYuVANMR46ERx/N6UUIkTUyi1uIbNg6djvPdCpCg6ux6YKNcE7xLf04STlGMj57wUZwMAwdqlYCO3kyx1kuRRboWz5efBFGjYJly6BMGcvlc4M+oHntNViwALZuzdGYknLl1ADT06fV5KNixdLeZvFitaJw585qlVshHEVaOISwlVbLpkmHGTujFNv/bJhuVzn+5X3G04N5+JJi5gQWmMt5IZzL2iDU3Bz7odOp83Xvrl7ru1nats32KQsVUuM3Bg1SA0w/+0y9BahYatkydXmjRqm1W4SwJwk4hLDB4Yk/89YIHzYkpU/UVYETjGQcXYnJ2qqsGk1auuwcJIoSDmBtEKqpsR+5MevFeICpj4/qbsnmZ6VAAXj7bZWp9Ntv4dNP1UQmUJN2Vq5Ug0s/+kglFBPCHqRLRYiMtFrVpL1wIReW7ublJv9SY1jjdMFGZY4xn24cowq9+D5rwUZYmLp5jBqlmu4jIyXYcGdRUXDqlOoCi4lR/y5cmH6qcnbodOrRp4963bcvNG4MEREQG5utUwYGwhtvwL//qlktxhlKY2Lg4YdVi4g+uZgQuUkCDiGMxcZCRAR3GrdhTNc/qfhcdWZufsgwxTWcUyygK0d4lG7E2D69VcZleDbjsR+RkfDccyqozDj+IzuBpbkBptkMOkDNbBk8WC0Q9+WXaWM8kpLgk0+gQgWYOhVSstE7KIQ50qUiBKg/6uPHox09hjn05gM+5CJpX/8Kc5P3Gc9gpuBPkuVzaTTqRjNnTo5WFRVuzl75PnQ69RkbMgQKF87RZ8zfXwUePXqowaWTJ6ug49o1Ne7jyy9V90u7djlrrBECJOAQQn1THDKEn889zDB+5zCPGXblI4X+TGMUY21bSE3/V3nyZGjSxE4VFm7DXvk+dDp1fNOmadtykMujSBHVstG/v1q/ZeFCtf2vv6BDB7Uy7cSJULNm9qsshHSpiLwtNpZLnQbS9dwnNOPndMFGR2I5yiN8yRDbV20NDc1RLgWRBxiP+Zg/XyV0yw36rpaxY1XEkI2ptRERaixHXJxqMNHbtg2eeEKN/7h1K3eqK/IeaeEQec+D7KCpZ88zY8B+3uGPdOud1GYfX/AmDdhp/VwajbphTJyoulGk60TYwrjlIyBABQqQs6m1+mNHj07bls1Wjzp1VJCxciUMH65yoKWmqhx0S5fClCmq5UOIrJAWDpG3PBgUerjxYBr0jODV2/8zBBtBXGcWfdhLPduDDYBvvlE5NGS2iciOqKjcG2CaUQ4GmGo0Kqg4cgQ+/ljFRaB6cjp2VPvOns15FUXeIQGHyDtiY7nbqQfvnhvI4/zGbp4y7OrFHP6kMn2YgxdmvmVmvAFI94nILfacWgs5ymDq6wvvvKMCj5Yt07avXKnWZfnf/+B+FmaFi7xLulSEZ9P/cf3hB34asIoBHOEU5Qy7K3Gcb3iNxmy1fB5TC6hJ94nITeYGmL7zTs7Oay6DaRYD5YceUmsDLlmixrxeugR37sCbb8K8eTB9OtSunbOqCs8mLRzCc8XGqkUjgP6vpNA6YZEh2PAliWhGc4jHrAcb+paMzp3T51qQYEPYW1QUHD6sns+cCT//rLpectLqYbxQ3IMEd7a2fGg0avG3Y8dgwIC0ahw4AHXrwogRkJyc/aoJzyYBh/BMsbHQuTO7z6s8zTF0M+xqzGYO8RijGYsfVv46jhmjmrql20Q4iz6w7dxZTbX+8kv1OrtBhz6DaZcuKnNp165ZzmBapIhKDLZ7Nzz2WNppP/5YBR5Hj2avasKzScAhPI9WS9LrbzNc9zGtWWPYXJAEZtGHTTThYf6yfI6wMLWy1ahR0pIhXIu5QaZZlQsZTOvVg19/VWuw+PiobQcOQK1aauJWamrOqig8iwQcwnM8WAPl8IBp1Dkfy2cMR/fgI/4UuzjEY/RhDia/F2o0Kv34/PmSfly4voyDTMeMUdudMMDUx0d1pezbB488orYlJcGwYdCsGZw5k/0qCc8iAYfwDLGxpIaX44vGq3hi+iscojoAvg+6TFbxLBGcNn2sTG8V7sh4/ZZRo1SLXE5bPYwHmGaxm6VGDdXaMWxY2rbNm1WXy4IFOUsxIjyDBBzCvWm1MHYsZzoNpcn5ubzFFyTjB0A1DrGVSAC8sdC2K9NbhSewRwbTLHaz+PvDF1/Apk2qVxLUyrPdu6shI//9l/MqCfclAYdwXw+SeK0bvZua/M5WGgOgIZW3+ZRfqM0jmBi9Jt0nwlPpWz26dYNvv3VaHo9nnoFDh9Jm4gL88AM8/jjs35/96gj3JgGHcE+xsWg7Pc/ocy/TmrXcQK2vHc4pttCYT3nH9AwU6T4ReUVuZTDNZjdLkSIqP8fixVD0wcoBp07BU0/Bd99JF0teJAGHcB8PBoWyYAHXXhlBa9YwltGGgaHtWMkBatCI7ebPId0nIi+xRwbTLHazPP88HDyopsuCGlDarx/06QN372avCsI9OTXgmDBhArVr16ZgwYKUKFGCDh06cPz4cZNldTodrVq1QqPRsGLFinT7zpw5Q5s2bQgMDKREiRK8/fbb3Jdcu57lQfcJjRsT1/1LHr+xkQ20AMALLR/zDsvpSBHiTR//9tvSfSLyJuPBpZGR8NxzOZtWq2+aGDJEDdawIXFYWBhs3w6DB6dtmzsX6teHv//OXjWE+3FqwLFt2zYGDhzI3r172bhxIykpKTRv3pw7d+5kKjtp0iQ0JiJyrVZLmzZtSE5OZvfu3cydO5c5c+YwatQoR1yCcIQHSbx0584xlQE0YAdnKQtASS6xiSa8w6em10DRf2ZGjJDuEyH0cjrAVKdTq7g1bWpz4jBfX5WzbOFCyJ9fbTt0SOXsyPAdUngopwYc69ato3fv3jzyyCNUr16dOXPmcObMGfZnGFV04MABvvjiC2bNmpXpHBs2bOCPP/5g/vz51KhRg1atWvHhhx8ydepUkiXHrvvTamHIEO7oAujOfAYxlRR8AXiaHfzG40Syzfp5JNAQIr3cHmBqY1dLly4qZ0flyup1QoJafXb4cFkEztO51OJt8fGqOTwoKMiw7e7du3Tt2pWpU6cSEhKS6Zg9e/ZQrVo1SpYsadjWokUL+vfvz9GjR6lZs2amY5KSkkhKSjK8TkhIACAlJSXdv57KLa5Tq4U9e2DrVi5c9+OFgO0c4jECUHUexBSiicaH+6QQYPocZcqQ8skngItfay5xi59rLpFrzWVt26pulnfeUYFDdmk0MHQoJCZC6dKqz8REsF+xokqLPnhwWnzy1Vdw4kQKvXt7/s/V0z6/tl6HRqdzjbHCqamptGvXjps3b7Jz507D9ldffRWtVsuMGTMA0Gg0LF++nA4dOgDQr18/Tp8+zfr16w3H3L17l/z587N27VpatWqV6b2io6MZo8/MZyQmJobAwMBcvjIhhBDCc+kbBuLj4ylUqJDZci7TwjFw4ECOHDmSLtj48ccf2bx5M7///nuuvteIESMYZpQOLyEhgbCwMBo3bkxcXBzNmjXDR78wgAdKSUlh48aNrnmdq1ZBjx6g07GW1vRlJndRQWA4p1jCc5bXQQkNVStItW0LuPi15jK5Vs/ktGvV/y5C9uew6rto5s0z/E6asmePGgqSmJjCrFkbGT68GXPm+PDEE9l7W1fnaZ9ffS+BNS4RcAwaNIjVq1ezfft2QkNDDds3b97MP//8Q5EiRdKV79SpEw0aNGDr1q2EhISwb9++dPsvX74MYLILBsDPzw8/P79M2/U/eB8fH4/4EFjjctf5YLyG7u5dJjGUN/nCMOX1SXaxgg4Ecy39MRqNGvA2caIadd+ggckmXJe7VjuSa/VMDr9W/WyuIUPUANHs0mhU4rDERLO/ow0bqoku+rc8e9aHZ57xYd48NSzEU3nK59fWa3DqoFGdTsegQYNYvnw5mzdvply5cun2v/vuuxw6dIgDBw4YHgATJ05k9uzZANSvX5/Dhw9z5coVw3EbN26kUKFCVK1a1WHXInJAn18jOpr75y4ykKkMY6Ih2OjCQjbRxHSwAZLESwh7yZjH4+efVdCQlcGlNiYOq1BBnV7v3j01g/eTTyRJmKdwagvHwIEDiYmJYeXKlRQsWJBLly4BULhwYQICAggJCTHZSlG2bFlDcNK8eXOqVq1Kjx49+PTTT7l06RIjR45k4MCBJlsxhIuJjTV8g0qgIM+zmvW0NOwexRiiiTa9wmtoKEyaJHk1hLAn/WwWvS+/VM0OGk32IgH9bBYTCfj0GUm7doWZM9Xzd9+FEyfg66/V1FrhvpzawjFt2jTi4+OJjIykVKlShsfixYttPoe3tzerV6/G29ub+vXr0717d3r27MnYsWPtWHORKx7k1+DcOc5RhqfYZQg2fEjme3owxlSwMXKkJPESwlnMpUy3lT5IGTrUbLKwr7+G8ePTXs+cCa1aqSm0wn05tYUjOxNkTB0THh7O2rVrc6NKwlEejNdAp+MfHqIJmzhNBABBXGc5HWnIjvTHaDSqVSM6WrpOhHCmqCho3x527FAtFkOHwrVrVg8z0Ong7Fn1u9ykSaZxHRoNvPcelC8PvXqpdOibN6ui69ZBsWK5fkXCAWQtFeF4Wi1MmQLnznGER2jADkOwUZ6/2Us908EGqC4UCTaEcL7cSBw2bpzFcR0vvKAaM/UBxq+/qgGmFy7kuPbCCSTgEI6lXxPljTf4hSdoxDYuUhqARznMDhpQEROLK8iia0K4rpx2s+jHdaxalWlX/fpqHZZSpdTrP/5QDSInT+agvsIpJOAQjmM0ZmM7DWjCJsOy8rXZx1YiKcWl9MfIeA0h3ENO1mcxHtcBsHNnuvEdVauqTfqJjP/+q4KOP//MlZoLB5GAQziG0ZiNn2hJC9ZzC5WRrhFb+ZmmFONGWnmNRi0xGR0t012FcBc56WbR6dLGgbRpk6mb5aGH1JCRKlXU6/PnVdCRy3khhR1JwCHsyyjHBufOsYTOtGcl9x6sf9KaNfxEKwpxK+0YGa8hhPvLrW4Wo6CjTBnYtg30S2Rdu6aGgOzalQv1FXYnAYewH/14jcaNYdw45tKTLiwyrPb6HD+wnI4EcC/9cTJeQwjPYNzNMnJk1o41M302OFid7umn1ev4eGjePH3SMOGaJOAQ9mE0XgNgPt3ow2xSUS0WLzGThbyILxlWGZw4UcZrCOFJ9N0s0dHqy0RWs5Tqp89u3WoIPAoXhvXrVaABcPcutGunigjXJQGHyH1G4zUAFvM8vZhrSFU+mC/5jlfwJjXtGP2YjcGDpRtFCE/k7Q2TJ6vnuTB9NjAQfvwRHiwcTmIiPPusdK+4Mgk4RO7bscPQsrGcDnRjgaFlYwBTmcwQvDBK4CZjNoTIG3J5XIefHyxerAINgDt3VEbSuLhcqq/IVRJwiNyjHyC6bBkAa2nFCyxG+yCh7StMZwqDM6cqlzEbQuQdOZ0+q9NBv36waRNotfj6wpIl0KKFKnLrlnous1dcjwQcIncYDxD96iu20ohOLDMMEO3NbL7htfQtG5JjQ4i8KadZSq9fh6ZNDV0s/v6wfDk884zarR9IeuyYPSovsksCDpFzGQaI7qM2bVllmPr6AouYwctpwYbk2BBC6OWkm+XcOejUCcaOJcBXy48/wlNPqV3XrkGzZpKR1JVIwCFyJsMA0cM8SkvWcZuCALRhNfPokTZAVMZrCCEy0nezrFmTveNHj4bwcPKvj2XNGnj8cbX5/HnVECJrr7gGCThE9hktwgZwllBaso7/CAIgki0s4Tl8uJ92jIzXEEKY4u2dllyjTJmsz2R5MKC08KZY1q2DypXV5n//hZYtZWl7VyABh8geo0XYAOIpRBvWcAHVLFqbffxIu7SkXoMGyXgNIYRtPvlE/ZvVoANg6FCCg7T8/LP6EwVw+DA89xykpFg8UtiZBBwi6zKM2UghH8+xhMM8Bqgl5tfQhoLcTjumUycZryGEsE3bttkb16FPFDZlCmVCtKxfD0GqwZUNG2DAgLQEpsLxJOAQWZNhzIYO6M80NqJS/gVxnbW0JpgHizDpB4g2aOCkCgsh3JJ+XMfPP6dFDbZ64w2IiKDSkVhWrABfNVmOGTPg449zu6LCVhJwiKwxSuoF8BHvMZOXAfDjHitpTyVOqJ0yQFQIkRPe3tCkCXz3XbbHdDS4GsucOWmb33sPYmJytZbCRhJwCNtptSrZzgML6MpIxhtez6UXT2OUV1gGiAohcoN+6mxoqO3HGC3+9uLzWj76KG1Xnz6wfXvuVlFYJwGHsI1+kOi4cQBsoyEvMcuw+2Pe4QV+SCsvi7AJIXKTvotlzBjbjzFa/O3delt55WU1PT85Wa3Bcvy4XWoqzJCAQ1iXYZDocSrRkeUk4wfAq3zDcD5VZWURNiGEvXh7w6hRavmErLR2jBuH5pnGTP2pPC1qXAbgv//UuitXrtipriITCTiEZRkGiSZQkPasNOTaaMVavmKQWh9FxmwIIRxB39oxcWKWDvO5cJofDlTisfCbgGqEfeEFuH/f8nEid0jAISwzGiSqA3ozh+OojDrVOMRiXiAfWlVWxmwIIRzF21u1pIaG2j6gVKejkOYWa5KbU6qU+hK1dSuMGGG/aoo0EnAI0zKs/ArwCe+wHBVMFOE/ltMxLdfGyJEyZkMI4Vje3jB5snqehaAj9OIvLGk+g3zeakzH55+rFWeFfUnAITLLsPIrwEaa8v6DGSkaUllAN8rzb9oxTZpIN4oQwvGyufjbU3P7MVH7uuF1nz5w9GhuV04Yk4BDpJdhgCjAacryIgtJRQUUoxlDa35SOyWxlxDC2fRjOrZsUa2tNhrIVLozD4A7d9Rp4uPtVEchAYcwkmGAKMA9/OjEMq5THIBnWcUHfKh2yiBRIYSr8PZWyydER9s8rkMDfMurVOcAAH/9Bb16QWqqPSuad0nAIZQMK7+CGiQ6gK/ZzxOAWiNlHj3w4kFAIoNEhRCuJovjOgJJJJYoinIDgJUrJf25vUjAITKt/Ko3nX7M5iUAArhLLFEUIV5WfhVCuLYsjut4iJMsoBsaVNPGyJE6NmywZwXzJgk48joTYzYAjvAIQ5hseD2Dl3mMw+qFrPwqhHB1WRzX0Yp1RBMNgE6noUcPHZcv27eKeY0EHHmZVguvv55pveZ7+NGNBSThD8AgptCVhTJAVAjhXjKO67BiJONozRoArlzR8FLrS7KcfS6SgCMv+/xztaJiBu/xEYeoDsCjHOYz3pYBokII92U8rsMCL3TMpg8lUE0ba38LYdqrB+xcubxDAo68zHj5xAc20IyJDAPUcvMxdMWfJBkgKoRwb1FRKruXlS9MJbjKHHobXr85ozJ/HNbauXJ5gwQceZHW9C/PNYrRi7mG15/wDtU4Iiu/CiE8Q+fOsHCh1WKtWMcgpgBwT+dP15Y3SLorQUdOScCRF+3Zk2mTDniZGVyiFAAtWMdgpsjKr0IIz/LcczatNvspw6mKSj168EIw75ecoQbZi2yTgCOv0a+RksEMXmYlHQAozlVm00fl25AxG0IIT2PDarMBD7qUfUkC4Ivbr/Jzp2kSdOSABBx5iT7fxmefpdt8nEoMZZLh9Uz6UopLMGaMdKMIITyTDavNVucQH/Ou4XVP5nJ9cLTZbmlhmQQceYWZfBtavOjFXO6SH4DXmEY7Vqlfwvffd0ZNhRDCMWzISjqEyTRDZQG7SGkGXngPduxwVA09igQceYGJNVL0pjKQOOoBUInjfMFb6hdv8mTpShFCeD4rWUm90DGH3gRxHYDFdGH1N2ellSMbJODIC3bsyNSyAXCWMN4jbWrsTPoSGFZMpr8KIfIWK2M6SnORiaQt/dB/cSS3yj4i4zmySAIOT6fVwqZNJne9wf+4QwEA+vM1T49sLNNfhRB5k5UxHT2YZ+haOUcY710YqJZ5GDtWWjtsJAGHJ9MPEh03zuTujTQHoAznmMAIaNJEulGEEHmXhTEd+qXsA7kDqO7oPdSD0aMhPFxaO2wgAYenMjNIFOA6Qelef81ACocVljVShBDCwpiOcpziQz4AQIcXLzODZHzUEhGdO0vQYYUEHJ7IwiBRgPcZb3jemSW006ySfBtCCKGnH9NhYpXZ1/mSWvwKwB88km7aLEOHSveKBRJweCIzg0RBrZWykK4AFOYmU0p/LINEhRAiI29v1c2cQT60zOBlvLkPwHje5xiV1Re8s2dhyhQJOsyQgMMTmVgBFuAOgbzKt4bX41vsJOTMPgk2hBDClAYNTA4ircFB3kYlUEzGj1f4jlQelHnjDTV2TrpXMpGAw9PExqoPvAmfMpxTlDO87j64iHSjCCGEORaWtR/FWCpwAoBdPM0CuqXtlDEdJknA4Un0A0WvXs206wxhfMpwAPKRAoDmyfoOrZ4QQrgd/SDSDIu9BXCPrxlgeP0uH3P7QcZmw/g5GdORjgQcnkKrhddfNztQ9B0+4R4BALzKdLVRWjeEEMI6/SDSMWPSbW7Gz7RjJQAXKMMnvJO2Uz+mQ9KgG0jA4SnGjzc7dmMXT7KIFwEorrnGO98+5MiaCSGE+/P2hlGjMi1t/zlv4UOy4flpyqY/zszf5bzIqQHHhAkTqF27NgULFqREiRJ06NCB48ePG/bfuHGDwYMH8/DDDxMQEEDZsmV5/fXXiY+PT3eeM2fO0KZNGwIDAylRogRvv/029+/fd/TlOE9srEo+Y0IqGoaQ1gf5Ye9/KdyllaNqJoQQniVDGvSK/G34G3uPAIbzafryQ4fKWI4HnBpwbNu2jYEDB7J37142btxISkoKzZs3584dlcntwoULXLhwgc8//5wjR44wZ84c1q1bR9++fQ3n0Gq1tGnThuTkZHbv3s3cuXOZM2cOo0aNctZlOZY+54YZ39OT/TwBQDUO8XK3REfVTAghPFOGNOgjGUcwVwD4gRfYwdNpZa9dkwGkDzg14Fi3bh29e/fmkUceoXr16syZM4czZ86wf/9+AB599FGWLVtG27ZtKV++PM888wzjx49n1apVhhaMDRs28McffzB//nxq1KhBq1at+PDDD5k6dSrJycnOvDzHsJBz4xYFGMEEw+tJwR+RL/Jpk2WFEEJkgdEMlsKaW4znfcOuoUxKmyZr2Dg0zw8gzefsChjTd5UEBQVZLFOoUCHy5VNV37NnD9WqVaNkyZKGMi1atKB///4cPXqUmjVrZjpHUlISSUlJhtcJCQkApKSkpPvX5Wm1sGULBASY3P0p7xNPcQJI4VlW0+Cb50lJTXW/68wBuVbPJNfqmdzuWtu2VTNYhg6lx7WFzKA/h6nGMR5jLi/TnflpZa9dg+3b4emn3e86rbD1OjQ6nZlpDQ6WmppKu3btuHnzJjt37jRZ5tq1a9SqVYvu3bszfrxKz92vXz9Onz7N+vXrDeXu3r1L/vz5Wbt2La1aZR6vEB0dzZgMo40BYmJiCAwMzKUrEkIIITzf3bt36dq1q6FBwByXaeEYOHAgR44cMRtsJCQk0KZNG6pWrUp0dHSO3mvEiBEMGzYs3bnDwsJo3LgxcXFxNGvWDB8fnxy9h12tWgU9epidAgswgKksoDsAQwvMYMyZPoZpsCkpKWzcuNH1rzMXyLV6JrlWz+S217pzJ7RpA0BPvmcl7QH4gLG8xRfpy5YpQ8onn7DR29v9rtMMfS+BNS4RcAwaNIjVq1ezfft2QjMkVwG4desWLVu2pGDBgixfvjzdDygkJIR9+/alK3/58mXDPlP8/Pzw8/PLtF1/Xh8fH9f9EOgHid69a7bIX1RkFj1JxZsi/Mfwb0Px8ffPVM6lrzOXybV6JrlWz+R219qwIRQrBufPM1Y3giV0QEs+PmUY/ZlCEYxmVv79N3TvDgsXut91mmHrNTh10KhOp2PQoEEsX76czZs3U65cuUxlEhISaN68Ob6+vvz444/4Z7hx1q9fn8OHD3PlyhXDto0bN1KoUCGqVq1q92twOAuDRPXGMJpUVGvGWy9eoEiPto6omRBC5E1GA0grav6hJ98DcJOiTMT0UhMArFjhgMq5DqcGHAMHDmT+/PnExMRQsGBBLl26xKVLl0hMVFM39cHGnTt3mDlzJgkJCYYy2gejfZs3b07VqlXp0aMHBw8eZP369YwcOZKBAweabMVweytXWtx9lKosfJDkq1gxHa9/+4gjaiWEEHmbPgV6mTJ8wIeGJSQm8gbXMTMRolevPDVd1qkBx7Rp04iPjycyMpJSpUoZHosXLwbgt99+Iy4ujsOHD1OhQoV0Zc6ePQuAt7c3q1evxtvbm/r169O9e3d69uzJ2LFjnXlp9qHVwoIFFouMZgy6Bz/Wd97RULCgIyomhBBCnxSs3Mju9GUmALcoxGe8bf6YPDRd1qljOKxNkImMjLRaBiA8PJy1a9fmVrVc144dJhdm0ztAdZbRGYCSJXUMHKgxW1YIIYQdeHtDkya8P64Hs+lDMn5MYTBvMJGSXMlcXr/eSmSkw6vqaLKWiju5eNHi7lGkteq8954GmeErhBBO0KABYaHwKt8CcJf86Rd2yyiPrLciAYc7KVHC7K591GYV7QAIDb5Hv36OqpQQQoh0HgwiHcEE/FFjEqfRnwuUMl0+j6y3IgGHu4iNhd69ze4eTVois/ejfTExC1YIIYSjREVRaskUBmqmAWpht494z3TZPLLeigQc7mDJEujUyex02N+pwTpURtXw4Du89LL8WIUQwuk6d+ad78qTn9sAzKQvVwg2XVanUzmWPHgAqdyZXN3SpfDiixaLfMGbhufvjMmPr6+9KyWEEMIWwX3b82pbNf7uHgF8zQDzhc+dgwfLdngiCThcWWwsPPecxYj3LKEsogugEt316uWoygkhhLDFkK8q4u2VCsBUBpKI6QU3ARg92mO7ViTgcFX6FOZWTGYI2gezmwcORGamCCGEiylbFl5orFIaXCPYkJzRLA/NzSEBh6uyIYV5PIWYjpqO4ueTysCBjqiYEEKIrHpzQnHD86+w8sdan5vDw0jA4aqs5NwA+I5XuIVaCrhXb4uzZoUQQjjR47W9eaaaSvz1DxWsH7Bpk8e1ckjA4aqsRA/J+DCJoYbXw96UH6UQQriytz7JwrfCceMgIsKjxnPIXcoVWcm5AfADz3OeUADatYOHH3ZAvYQQQmRby5bwyCNpy3Xso7blA86d86j8HBJwuJrYWPUBszB+Qwd8zluG12+9ZbaoEEIIF6HRwFtvpa1x9RWDrR+k00G/fh7RvSIBhyvRz0yxsmDdjuBOHKQGAHXqwNNPO6BuQgghcuzFFyEkRD3/kbacIcz6Qdeve0R+Dgk4XIkNM1MApj82xfD89ddV1CyEEML1+flB377quQ4vZjWYY9uBkye7fSuHBByuZOVKq0WuE8TS7WrgUVCQynguhBDCffTokfZ85p9Pch9v6wfduOH2U2Ul4HAVWi3Mn2+12Dx6kJSiPpy9eiGLtAkhhJspZbRo7Lmr/qwr8JxtB9qQLsGVScDhKsaPVysGWqADvvN+zfD6lVfsXCchhBB2912ZaNsKXr7s1t0qEnC4gthYlT/fit08yR/ayoAaKFqlir0rJoQQwl7KlFH/rj5RifNFHrF+wBtvuHVuDgk4nM3GNVMAQxpzULOkhBBCuK/u3dW/qakaZrX8wbaDzp9329wcEnA4m40zU/6jCD9oXgCgSBH1eRNCCOG+evZMm2U4Y3dVtD8sg9BQywfp0ya44QJvEnA4mw0zUwAW0I17OjVCtGdPCLCwurEQQgjXFxoKrVqp52fOwMaCUXDqFEycaPlAnc4tF3iTgMOZtFpYsMCmot+VHGl4LoNFhRDCMxh3j0+fDnh7Q8mSth1s4xdWVyEBhzPt2AFXr1otdqTI0xy6rFLT1a0Ljz5q74oJIYRwhDZt0jKPrlkDN2+Sft6sJfPnu1W3igQczmRjdLq40geG5/pBRkIIIdxfvnzwghqeR3IyrFgBNGgAwcHWD752za1SnkvA4Sw2dqfogEXn1WIpXl4yWFQIITxNly5pzxctQnWrdOtm28GjR7vNjBUJOJzFxu6U34o04e/zgQBERqY1vQkhhPAMdetCeLh6/vPPD24N7dvbfgI3mbEiAYez2Nidsqj8e4bnxlGwEEIIz6DRpP1912ph2TJUt4q1KbJ6bjJjRQIOZ7CxOyUVDYvPPgmofr6oKHtXTAghhDOY7FaZPNn2E7jBjBUJOJzBxu6UPUVac/aKyr3RvDkUK2bvigkhhHCG6tXh4YfV8+3bVUJRoqJgzBjbTuAGM1Yk4HAGG1f8WxT+juG5dKcIIYTnMu5W0elgyZIHO95/H4oXt34CN5ixIgGHM9gwx/o+3vxwpi4Afn5ZGz8khBDC/einx8KDbhVQXSu25kNw8RkrEnA4w7Vr6kNkjkbDzuAorvznC6jEMIUKOahuQgghnKJKFdW1AhAXB6dPP9jhITNWJOBwtNhYeP55qx+I1fXHGZ536mTvSgkhhHAFxn/v16598MRDZqxIwOFI+qXo9av9meLtDYsXs+avSoBK9tWypYPqJ4QQwqnatEl7bgg4PGTGigQcjmTLUvRaLf+mhPHnn+pl/foQFGT/qgkhhHC+mjXThvlt2gSJiQ92eMCMFQk4HMnG2SlrN+QzPG/d2l6VEUII4Wo0mrQl6xMTYetWo51uPmNFAg5HsnEFwDXHyhmeGzevCSGE8Hwmu1XA7WesSMDhSDbMTrlTphJbDqo+lDJl4LHHHFQ3IYQQLqFpU/DxUc/XrMkw7M+NZ6xIwOEoNs5O2dJzNklJGkB1p2g0jqicEEIIV1GokJqYAnDyJBw/brTTjWesSMDhCFmZnfLfk4ZN0p0ihBB5k/Hf/zVrjHa48YwVCTgcwcbZKbriwYYPlq8vNGli/6oJIYRwPWYDDsjajJUFC1ymW0UCDkewcXbK8f23OXtWPW/UCAoUsGOdhBBCuKxKleChh9TzHTvgzp0MBWydsXL1qst0q0jA4QgnTthUbPvFiobnTZvaqzJCCCFcnUaTdh+4f1+lOk8nKzNWXKRbRQIOe4uNhehoy2U0GggLY/ultICjYUP7VksIIYRrM74PbN9uooCtM1ZcpFtFAg57smWwKKj9kyaxfYf6cQQEwOOPO6B+QgghXJZ+pgqYCTgaNIDgYOsncpFuFQk47MmWwaIAY8ZwulaUYfxG/fpq0KgQQoi8q2xZCA9Xz/fuheTkDAW8vaFbN9tO5gLdKhJw2JONg0WpWDFd9CrdKUIIISDtfpCYCPv3myjgRt0qEnDYU4kSNpeTgEMIIURGVsdxuFG3igQcLkL/QfLxgbp1nVsXIYQQrsHqOA436laRgMOerlyxqdilvxL46y/1/IknIDDQjnUSQgjhNipVSmss37nTTK+Im3SrODXgmDBhArVr16ZgwYKUKFGCDh06cDxd0ni4d+8eAwcOpFixYhQoUIBOnTpx+fLldGXOnDlDmzZtCAwMpESJErz99tvcv3/fkZdimo2rw+68UsnwXLpThBBC6Gk0afeFhAQ4fNhEITfpVnFqwLFt2zYGDhzI3r172bhxIykpKTRv3pw7RinV3njjDVatWsWSJUvYtm0bFy5cICoqyrBfq9XSpk0bkpOT2b17N3PnzmXOnDmMGjXKGZeUng2rwxIWxu7/qhg2GTefCSGEEMb3hV27TBTISreKrZMZ7CCf094ZWLduXbrXc+bMoUSJEuzfv5+GDRsSHx/PzJkziYmJ4ZlnngFg9uzZVKlShb1791KvXj02bNjAH3/8wc8//0zJkiWpUaMGH374Ie+88w7R0dH4Omt+qX51WGs5OCZN4rcv0+K+2rXtXC8hhBBuxfi+8PvvZgq1bw+TJlk/mY2Zr+3BqQFHRvHx8QAEBQUBsH//flJSUmhqlOe7cuXKlC1blj179lCvXj327NlDtWrVKFmypKFMixYt6N+/P0ePHqVmzZqZ3icpKYmkpCTD64SEBABSUlLS/ZttWi288w74+5sv4+0Ns2ahe7Ytfw5IISAASpeGokUhp29vTa5dpxuQa/VMcq2eKa9ca1avs2pVNbZPp4OjR83cI+rVgwoV4Px5yyebNw+GD7fc+p5Ftl6HRqez9hXcMVJTU2nXrh03b95k586dAMTExNCnT590wQFAnTp1aNy4MZ988gn9+vXj9OnTrF+/3rD/7t275M+fn7Vr19KqVatM7xUdHc0YEyvtxcTEECgjNoUQQgib3b17l65duxIfH0+hQoXMlnOZFo6BAwdy5MgRQ7BhTyNGjGDYsGGG1wkJCYSFhdG4cWPi4uJo1qwZPj4+2X+DpUuhb1/r5WbO5EffzvTooV4OH64WALS3lJQUNm7cmPPrdANyrZ5JrtUz5ZVrzc51vvwyLFminu/cCdWqmShk671nwACYMMH2Cluh7yWwxiUCjkGDBrF69Wq2b99OaGioYXtISAjJycncvHmTIkWKGLZfvnyZkJAQQ5l9+/alO59+Fou+TEZ+fn74+fll2q7/wfv4+OTsw16qlEoLZ0O533/2MRStXl3l4XCUHF+nG5Fr9UxyrZ4pr1xrVq6zWjX4/nv1/OBBM+tt2Xrv+f57+OSTXOtWsfUanDpLRafTMWjQIJYvX87mzZspV65cuv21atXCx8eHTZs2GbYdP36cM2fOUL9+fQDq16/P4cOHuWKU82Ljxo0UKlSIqlWrOuZCMmrQAIoVM7//wewUGjRINwDIxHATIYQQIt39wezAURefHuvUgGPgwIHMnz+fmJgYChYsyKVLl7h06RKJDyK0woUL07dvX4YNG8aWLVvYv38/ffr0oX79+tSrVw+A5s2bU7VqVXr06MHBgwdZv349I0eOZODAgSZbMRxi5Uq4ft38/gerw+LtbfjgFC2atkiPEEIIYcymgMPFs446NeCYNm0a8fHxREZGUqpUKcNj8eLFhjITJ07k2WefpVOnTjRs2JCQkBBiY2MN+729vVm9ejXe3t7Ur1+f7t2707NnT8aOHeuMS0pbkt6SYsWgfXsuX06bEl2zpmr4EEIIITIKClKrxwIcOACpqWYKunDWUaeO4bBlgoy/vz9Tp05l6tSpZsuEh4ezdu3a3Kxa9tmyJP3167BjB7/fizRsku4UIYQQltSsCWfOwO3b8M8/ULGiiUL6bpWrVy2fTN+tEhlpj6qaJGup5DZbs7hdvMjBg2kvJeAQQghhifF9wvj+kY4LZx2VgCO32bh+CqVKGRZsA6hSxXxRIYQQwvg+YTFh6LPP2nZC/apwDiIBR27LwgyVv/9O21yhgv2rJoQQwn0Zd6E4MUN5tknAkduyMENF/4EpUQIsJGcTQggh0n0xtRhwGKWJsMjWcrlEAo7clIUZKrdvp3WfmRz4I4QQQhgpWBD0y4YZt5BnYmvXvoObSSTgyE1ZmKHyzz9pmyTgEEIIYQv9/eLSJbh1y0yhBg3AKGu3Wd9959CpsRJw5KYszFAxDiwl4BBCCGEL4/uF8RfXdLy94ZVXrJ/s3DmHZhyVgCM32Trit0SJdAGHDBgVQghhC5vHcdj6TdaBGUcl4HASaeEQQgiRVTbPVLF1HIcDM45KwJGbsjAyWKbECiGEyCrjgMPiwFEXXMhNAo7clIWkX/oPSsmSauSxEEIIYU358mnPLbZwuGDGUQk4cpMtI4PDwrhfvwGXLqmXskKsEEIIWxUsqBZyA7hwwUphF8s4KgFHbvL2hhdftFymSxeuXPdGv25dSIj9qyWEEMJz6O8bFy+CDWugugynrhbrcbRaWLjQcplFi7j03ATAG5CAQ1in0+m4f/8+WisDu1JSUsiXLx/37t2zWtbd5cVrvX//Pvny5UOj0Ti7SsLJSpWCP/6AxESVi8NspmoXyzgqAUdusiXx19mzXNp0FHgMsH3Yh8ibkpOTuXjxInfv3rVaVqfTERISwtmzZz3+ppQXr/XkyZPkz5+fUqVK4evr6+xqCScy/qJ66ZKFgCMLqRocQQKO3GTjwJuL/yYanksLhzAnNTWVkydP4u3tTenSpfH19bV4c01NTeX27dsUKFAALy/P7i3Ni9fq6+vLtWvXOHnyJBUrVvT46xbmGd83Ll6ESpWcV5eskIAjN9nYXHEpNW2qkgQcwpzk5GRSU1MJCwsjMDDQavnU1FSSk5Px9/f3+JtRXrzWQoUK4evry+nTpw3XLvIm41uNfgKCSS7WpeLZv6mOZuPS9Bf9IgybpEtFWOPpN1RhO/ksCMjcwmFWFlI1OIJ8enOTjUvTX7qc9t8uLRxCCCGywuYWjiefVLMnLfH2VuUcQAKO3JKFpemNPyD6pYaFEEIIW2QcNGrW7t3W05ZrtaqcA0jAkVuysDS9vgmsaFGQblgh0pszZw5FihRxdjWEcFnGLRwWu1RszSDqoAXcJODILVlYmv7GDfW0eHH7VUcIZ+rduzcajQaNRoOvry8VKlRg7Nix3L9/3+qxL7zwAn/99VeW3i8yMpKhQ4dms7ZCuJciRdJ6Siz14rvaAm4ScOQWG3+wupBS3L6tnssaKsIhtFrYulUlpdu61WErQ7Zs2ZKLFy9y4sQJ3nzzTaKjo/nss8+sHhcQEEAJB+UFEMIdaTRQoIB6fueOhYIutoCbBBy5xcZ1VJLqNED/JU//gRHCbmJjISICGjeGrl3VvxERarud+fn5ERISQnh4OP3796dp06b8+OOP/Pfff/Ts2ZOiRYsSGBhIq1atOGG0ClXGLpXo6Ghq1KjBvHnziIiIoHDhwrz44ovcunULUK0p27ZtY/LkyYZWlVOnTvHff//RrVs3goODCQgIoGLFisyePdvu1y2EI+jvHw9+DUxzsQXcJODILTauo3I7MW3EsAQcwq5iY6Fz58xji86fV9sdEHQYCwgIIDk5md69e/Prr7/y448/smfPHnQ6Ha1btyYlJcXssf/88w8rVqxg9erVrF69mu3btzNp0iQAJk+eTP369XnllVe4ePEiFy9eJCwsjA8++IA//viDn376iWPHjjFt2jSKSz+m8BD6+4e+xdwsF1rATRJ/5RYb11G5/WraOirSpSLsRj9rytTKTjqdapMdOhTat7c+bS6HdDodmzZtYv369bRq1YoVK1awa9cunnwwFW/BggWEhYWxYsUKnnvuOZPnSE1NZc6cORR88EvTvXt3tm7dCkDhwoXx9fUlMDCQEKPh+2fOnKFmzZo88cQTAERERNjvIoVwMOOAQ/8r7eqkhSO32LiOyu3tvxleSguHsBtrn0edDs6etWu/7erVqylQoAD+/v60atWKF154gd69e5MvXz7q1q1rKFesWDEefvhhjh07ZvZcERERhmADoFSpUly9etXi+/fv359FixZRo0YNhg8fzm4HTf0TwhH09w+tFpKSLBR0oWyjEnDkFhv7v26f/c/wXAIOYTdZmDVlL40bN+bAgQOcOHGCxMRE5s6dm+2F1nx8fNK91mg0pKamWjymVatWnD59mjfeeIMLFy7QpEkT3nrrrWy9vxCuxvj+YbFbxYUWcJOAI7fY+MO67Z/WhywBh7AbF0hpnD9/fipUqEDZsmXJl0/13lapUoX79+8TFxdnKHf9+nWOHz9O1apVs/1evr6+JpepDw4OplevXsyfP59JkyYxffr0bL+HEK7EuEve6jgOFyEBh4PdSkwbNiMBh7Ab/awpcy0KD9b1oUEDh1arYsWKtG/fnldeeYWdO3dy8OBBunfvTpkyZWjfvn22zxsREUFcXBynTp3i2rVrpKamMmrUKFauXMnff//N0aNHWb16NVWqVMnFqxHCeYzvHxZnqkiXigey8Yd1+3LapGkZNCrsxtsbJk9WzzMGHfrXkybZfcCoKbNnz6ZWrVo8++yz1K9fH51Ox9q1azN1m2TFW2+9hbe3N1WrViU4OJgzZ87g6+vLiBEjeOyxx2jYsCHe3t4sWrQoF69ECOexuUvFaMq5RQ5YwE1mqeQWG39Yd/zTVpO1YcVxIbIvKgqWLlWzVYwHkIaGqmAjKspubz1nzhyz+4oWLcr3339vdn/v3r3p3bu34XV0dDTR0dHpygwZMoQ+ffoYXleqVIk9e/akKzNy5EhGjhyZpXoL4S7y5097bjb5l1YLtnQjhoY6pLVTAo7com/CtjQzICwMbbkKhpf55H9f2FtUlJr6umOHGiBaqpT6rDqhZUMIkXuMf4XNJg/esUPl3bHmlVcc8jfB5i6VCxcu2LMe7s/GxF+pRv/l8jdfOIS3N0RGqs9nZKR88ITwAMa/xmYnbNk6C61ixRzXxxY2BxyPPPIIMTEx9qyLe7Mx8Vfq/bRPhpeMoBFCCJENxvcPswGHC02JhSwEHOPHj+fVV1/lueee44Z+uVORxsbEX6l//2t4KQGHEEKI7LAp4HAxNt/yBgwYwKFDh7h+/TpVq1Zl1apV9qyX+7Gx6So1Pm3+kjukohVCCOF6jAMOs2M4XGhKLGRx0Gi5cuXYvHkzX331FVFRUVSpUsWQ0Efvt99+M3O0h7NxloqmkMyFFUIIkTPGyySZbS13sS6VLM+TOH36NLGxsRQtWpT27dtnCjjyLBtnqXhVeMjw0l2awYQQQrgW4/uHu3TPZyla+O6773jzzTdp2rQpR48eJTg42F71cj/6WSqffWa+TJcueOVL+2RIwCGEECI7bAo43LVLpWXLluzbt4+vvvqKnj172rNO7snGWSpeb32MfuiM2X43Icx44gm4dMncXg06XaFsL5BmSUgI/Pprrp9WCJFNxvcPswGHC6ypZMzmgEOr1XLo0CFCQ0PtWR/3ZeMsFa9//wYqARJwiKy7dMlSHh/Ng4frioyMpEaNGkyaNMkh7zdnzhyGDh3KzZs3nX6e3KqLEGBjC8eTT6rWd0s3G29vVc4BbA44Nm7caM96uD8bZ6n4J6YtT5+UZK/KCE/n5WXqS4kOnU73oIUjdwKPixez3vXXu3dv5s6dm2n7iRMniI2NTbdmSkREBEOHDmXo0KGGbc64MW/ZsoXPPvuMuLg4EhMTiYiIoFWrVgwbNowyZcrwwgsv0Lp1a4fVRwhr7t1Le+7vb6bQ7t3Wv9lqtapcZGRuVc0sGfGZW2xskioQkrbijrssKSxcT6lSmRvUUlN1JCQkUKhQIby8cifgCA21LTNyRi1btmT27NnptgUHB+PtgllOv/32WwYMGECvXr1YtmwZERERnDlzhu+//54vvviC//3vfwQEBBAQEGD2HMnJyfj6+jqw1iKvM75/mF15fOVK205ma0bSHHKTsa1uwNpy4ADFilHgicqGlxJwCE/l5+dHSEhIuoe3tzeRkZGG1ozIyEhOnz7NG2+8gUajQaPRsHXrVvr06UN8fLxhm37htqSkJN566y3KlClDwYIFadq0KVu3bk33vnPmzKFs2bIEBgbSsWNHrl+/brGe586d4/XXX+f1119n1qxZREZGEhERQcOGDZkxYwajRo0ynLdIkSKG46Kjo6lRowYzZsygXLly+D/4innz5k1effVVSpYsib+/P48++iirV682+/4rV67k8ccfx9/fn4ceeogxY8Zw//79rP1nizzJasCh1cL8+badzNXGcAgr9MuBd+pkvsz16xQ4sBNoBMCtW+aLCuHpYmNjqV69Ov369eOVV14BICgoiEmTJjFq1CiOHz8OQIEHf00HDRrEH3/8waJFiwgJCWHRokW0bt2aw4cPU7FiReLi4ujbty8TJkygQ4cOrFu3jtGjR1usw5IlS0hOTmb48OEm9xsHGRn9/fffLFu2jNjYWLy9vUlNTaVVq1bcunWL+fPnU758ef744w+zrTo7duygZ8+efPnllzRo0IB//vmHfv36AVittxBWA44dO+DaNesnCg52yEqxIAFH7mrfHooVA3PfqjQaCkz9BH3AIS0cwlOtXr3aECgAtGrViiVLlqQrExQUhLe3NwULFiQkJMSwvXDhwmg0mnTbzpw5w+zZszlz5gylS5cmNTWVwYMHs23bNmbPns1HH33E5MmTadmypSF4qFSpErt372bdunVm63nixAkKFSpEqWx8w0tOTub77783pAfYsGED+/bt49ixY1SqpAaGP/TQQ2aPHzNmDO+++y69evUylP3www8ZPny4BBzCKqsBh63dJN26OWxBRwk4ctOOHeaDDQCdjoKXTxheSsAhPFXjxo2ZNm2a4XX+/PlzdL7Dhw+j1WoNN3K9pKQkihUrBsCxY8fo2LFjuv3169e3GHCkDbLNuvDw8HS5iA4cOEBoaGimOppz8OBBdu3axfjx4w3btFot9+7d4+7duwQGBmarXiJvML5/mPz1sjV76LPP5kp9bCEBR26yIaIsQNqnRAIO4any589PhQoVcu18t2/fxtvbm/379xu6L27fvk2BAgUoVKhQts9bqVIl4uPjuXjxYpZbOTIGUZYGlZpy+/ZtxowZQ1RUVKZ9/manHQih6O8fgYEOa6DIMRk0mptsiCgl4BAija+vL9oM0/ZMbatZsyZarZYrV65QoUIFKlSowEMPPUSFChUMXS9VqlQhLi4u3XF79+61+P6dO3fG19eXTz/91OT+rEzNfeyxxzh37hx//fWXTeUff/xxjh8/brge44eXu+SqFk6jHwNodoaKhcHK6TgoyyhIC4fDBXLX8FwGjYrsunhRTYpKL/czjdp7tlxERATbt2+nS5cu+Pn5Ubx4cSIiIrh9+zabNm2ievXqBAYGUqlSJbp160bPnj354osvqF69OqdOnSIuLo7q1avTpk0bXn/9dZ566ik+//xz2rdvz/r16y12pwCEhYUxceJEBg0aREJCAj179iQiIoJz587x/fffU6BAAb744gubrqVRo0Y0bNiQTp068b///Y8KFSrw559/otFoaNmyZabyo0aN4tlnn6Vs2bJ07twZLy8vDh48yJEjRxg3bly2/j9F3qH/wuouM1TAyS0c27dvp23btpQuXRqNRsOKFSvS7b99+zaDBg0iNDSUgIAAqlatyjfffJOuzL179xg4cCDFihWjQIECdOrUicuXLzvwKozYECl6k0qgn5r2Ji0cIrtSU1V+jPQPDRcueHH+vMbEvuw97L3ez9ixYzl16hTly5c3jId48sknee2113jhhRcIDg42tD7Mnj2bnj178uabb1KlShW6d+/OL7/8QtmyZQGoV68e3333HZMnT6Z69eps2LCBkSNHWq3DgAED2LBhA+fPn6djx45UrlyZl19+mUKFCvHWW29l6XqWLVtG7dq1efHFF6latSrDhw/P1Fqj16JFC1avXs2GDRuoXbs29erVY+LEiYSHh2fpPUXeZDHgcMEZKgAanc54kVvH+umnn9i1axe1atUiKiqK5cuX06FDB8P+fv36sXnzZmbMmEFERAQbNmxgwIABxMbG0q5dOwD69+/PmjVrmDNnDoULF2bQoEF4eXmxa9cum+uRkJBA4cKFuXbtGjt37qR169bpsiHabOtWaNzYarFSQfe4dMOP0qWzl1Qpp1JSUli7dm32r9ONuPO13rt3j5MnT6bL82B5LZXczzSq52prqaSmpholOfPs7gfja01OTs70mfAk7vz7mhU5vc5790A/ZOjpp1V8kc7ChdC1q/UTDR0KEydm+f0z0t9D4+PjLY6pcmqXSqtWrWjVqpXZ/bt376ZXr15EPki52q9fP7799lv27dtHu3btiI+PZ+bMmcTExPDMM88A6ltQlSpV2Lt3L/Xq1TN53qSkJJKM8oonJCQA6kNg/G+W1asHFSrAhQtgLo4LCiI8VEP8oRRu3VLpzR399zLH1+lG3PlaU1JS0Ol0pKamkvqgqWHfPvPldTodt27domDBgnZZwM2VVjfWf0/S//94sozXqtPpSElJccmsrTnlzr+vWZHT67xwIS3gCAuDTKcJCUkrYEm7diYOzjpbr8OpLRzGNBqNyRaO33//nRUrVlC6dGm2bt1Ku3btWLNmDQ0bNmTz5s00adKE//77L12CnvDwcIYOHcobb7xh8r2io6MZM2ZMpu0xMTEyFU24jHz58hESEkJYWJikzRaAyv1x9uxZLl26JBlJhcu4e/cuXbt2de0WDmumTJlCv379CA0NJV++fHh5efHdd9/RsGFDAC5duoSvr2+mbIAlS5bkkvl2Z0aMGMGwYcMMrxMSEggLC6Nx48bExcXRrFmz7DfnabWqlePGDdP7NRoGBs5i/h01FW7vXqhSJXtvlV0pKSls3LgxZ9fpJtz5Wu/du8fZs2cpUKCATc3n9m7hcCV59VqTkpIICAigYcOGHtul4q6/r1mR0+tcsyatx2TUKHjzTROFRo1S2a9N0Whg3jxo2zbL722KvpfAGpcPOPbu3cuPP/5IeHg427dvZ+DAgZQuXZqmTZtm+7x+fn74+fll2q7/wfv4+GT/w75rl9WBGcXv/kMi6vyXL8Njj2XvrXIqR9fpZtzxWrVaLRqNBi8vL5vGKei7FvTHeLK8fK0ajcYtP89Z4enXp5fd67x0CRIT1fMSJSDTKWJj4ZNPzHftv/02mMj/kl22XoPLBhyJiYm89957LF++nDZt2gBqnvuBAwf4/PPPadq0KSEhISQnJ3Pz5s10rRyXL19OlxbZoWyYRxhCWuuLhYYYIYC0Pnwh5LMgIP1tJtOtTquFIUPMBxsAixbBhAkOzxjmsl8NUlJSSElJyfTtRZ9lEKBWrVr4+PiwadMmw/7jx49z5swZ6tev79D6Gtgwp7kUaZ8WCTiEOfpvDXfv3rVSUuQV+s9CXvj2L8wzvm9kuuXs2AHnzlk+wdmzJqa22J9TWzhu377N33//bXh98uRJDhw4QFBQEGXLlqVRo0a8/fbbBAQEEB4ezrZt2/j+++/53//+B6hFnvr27cuwYcMICgqiUKFCDB48mPr165udoWJ3+mXqz583G2GGFEqEB11e9k6sJNyXt7c3RYoU4cqD/C6BgYEWxyukpqaSnJzMvXv38kQ3Q1661qSkJK5fv861a9coUqSIR85QEbaz2MKxcmXWT+IgTg04fv31Vxob5a3QD+Ts1asXc+bMYdGiRYwYMYJu3bpx48YNwsPDGT9+PK+99prhmIkTJ+Ll5UWnTp1ISkqiRYsWfP311w6/FgMblqkvlfCn4bm0cAhL9F2DV2xIKqfT6UhMTCQgICBPDKTMi9datGhR53UXC5ehv294eWVYUcNFM4zqOTXgiIyMtNgnGRISwuzZsy2ew9/fn6lTpzJ16tTcrl72WVmmPoS0TKgScAhLNBoNpUqVokSJElbnuqekpLB9+3YaNmzo8U3uefFamzRp4pEzU0TW6e8bwcEZhmG4aIZRPZcdNOrWrCxTX4Db5Oc2dyjglEyjwv14e3tbbUb39vbm/v37+Pv7e/xNOC9eq3SjCFCNGPqAI1Njl63dJN26OWWJWc/u/HQWG37o5TgJwKlT6gMkhBBCWHP2bFpy0HLlMuy0tZukfftcrZOtJOCwBxt+6BU5AUByMpw5Y+8KCSGE8AQnTqQ9r1gxw84GDVR3viVhYU7pTgEJOOxDP1PFwmC2iv5p05aMJuoIIYQQZhnfLzIFHCtXWuzOB2DSJKd0p4AEHPahn6liYUBsxXuHDM+NI1YhhBDCHOP7RYUKRjv0Cb8sKVbMad0pIAGH/ehnqphRgX8MzyXgEEIIYQuzXSq2JPy6ft0pCb/0JOCwFyszVSryl+G5BBxCCCFsob9f+PtD6dJGO1w44ZeeBBz2YuWHWpoLBKDSFMsYDiGEENZotfDvv+p5hQoq8Zdhhwsn/NKTgMNe0qV/y0wDVEBFGv/+C/fvO6BOQggh3NaZM2lTYjN1p7hwwi89CTicSD81NiVFpsYKIYSwzOyAURdP+KUnAYe92LD2hT7gAPjrLwsFhRBC5HlmB4y6eMIvPQk47MWGD0BV/jA8P3TIQkEhhBB53sGDac+rVjXaoc/9ZIkTE37pScBhLzYk/6pZ+KTh+e+/O6JSQggh3JX+PqHRQPXqRjtWroTERNMHaTTq4cSEX3oScNiLDcm/Ksfvxc9HLaTy22+OqpgQQgh3k5IChw+r5xUrQoECD3bExkLnzubTMAQFwdKlEBXlkHpaIgGHPVlJ/uWj0VKNI4Dqm7t921EVE0II4U7+/BOSktTzmjUfbNRnF7XwxZaAAKeP3dCTgMOerCT/QqejZkqc/mm6/jkhhBBCz7gV3BBw2JJd9Nw5p2YXNSYBhz3ZMFWpJmmDN2QchxBCCFOM7w+PP/7gia3TYZ2YXdSYBBz2ZMNMFQk4hBBCWGN8fzC0cNg6HdaJ2UWNScBhTzbMVHnM6yheGtX/JgGHEEKIjFJT4cAB9Tw0FIoXf7Dj6lXLM080GpeYDqsnAYc96WeqWBCYepuHdccAOHIEkpMdUTEhhBDu4uRJSEhQzw2tG7Gx8MILauCoJS4wHVZPAg57i4qCxYst/sD13SopKSroEEIIIfQyDRi1ZXaKtzf88INLTIfVk4DDEYKDLUahtfnF8HzXLkdUSAghhLswvi/Uro1ts1O0WqO+F9cgAYcjWBkh3JDthucuMntJCCGEi9DfFzQaeOopVGZRW7jI7BQ9CTgcwcoI4eocpCCqg277dsutZEIIIfKO+Pi0AaOPPQZFC2lh/nzbDnaR2Sl6EnA4gpXZKt6k8pTPPgAuX06/IqAQQoi8a/duNUsFHkw22bEDrl2zfmBwsMvMTtGTgMMRbFhXpWHKJsPz7dvNFhNCCJGHGN8PGjbE9m6Sbt1cZnaKngQcjmJlXZWGpA3ekHEcQgghIP39oEEDbO8mcZH1U4xJwOEoVtZVeYJf8EctLywtHEIIIRITYZ/qbadSJQgJwXqyL3CpZF/GJOBwFCvNYH4kU4+9AJw6BWfOOKBOQgghXFZcnMrPBA+6U2xJ9qXRuFSyL2MScDiKDc1gDaRbRQghxAPGrd0Nnkp1y2RfxiTgcBQb1lVp6JWW3WXbNkdUSgghhKsyvg809N/nlsm+jEnA4Sg2rKtSP3UnftwD4KefJB+HEELkVbdupbV0R0RA+N7Fth3oYsm+jEnA4UhW1lXJz10i2QqoQPbwYQfWTQghhMv4+ee08RttWqeiWeCeyb6MScDhaFbWVWnNWsPztWvNFhNCCOHBjP/+tw474rbJvoxJwOFoVpq72rDG8HzNGgsFhRBCeCSdLi3gCAiAxqX+tO1AF0z2ZUwCDkez0txVnn95GPXh2r0bbtxwRKWEEEK4igMH4MIF9fyZZyDgtI0Bhwsm+zImAYej2TBbRd/KkZoKGzY4qmJCCCFcQbrulNIHYPRo6we5aLIvYxJwOJoN66oYj+NYszrVEbUSQgjhIoy701uv6m/9ABdO9mVMAg5niIqCMWPM7m7ADsNy9T+t0lpMKieEEMJzXLsGe1XSaaqG3yHi0l7rB0VHu2yyL2MScDhLxYpmd/mSQjM2AnA9wYdffnFUpYQQQjjT+vVpDeBtisfZdpCF+4krkYDDWawMHjWerbJypb0rI4QQwhUY/71v87flZJEGLpx7w5gEHM5iZfDos6zGC9WXsnixZB0VQghPd/s2rF6tnhcvnMyT8TYkY3Lx3BvGJOBwFiupzktwlSZsAuDkSaRbRQghPNyqVWpJeoDOT5zGh/vWD3Lx3BvGJOBwJiupzruwyPB8UYzMVhFCCE+2KO1PPl1aJ9h2kIvn3jAmAYezWUh13pHl+JAMwOIFKaRKzCGEEB7pv//Uop0ApYMSefqLjtYPcoPcG8Yk4HA2C6nOi3KTlqwD4MI1P3budFSlhBBCONKKFWmLtT1/41u8L5w1X1ijcZvcG8Yk4HA2K6OLjbtVFtu4OrEQQgj3kq47hYWWC5cpA0uXukXuDWMScDibldkqbVmFP2oU0ZIlcN+GMURCCCHcx5UrsEnNESCCk9Rhn+UD5sxxu2ADJOBwPiuzVQpym2dR86SuXoUtWxxVMSGEEI6wbFnaUL4uLML8SlsPXLli7yrZhQQcriALs1UWymwVIYTwKAuNelCM/96b5SaJvjJyasCxfft22rZtS+nSpdFoNKxYsSJTmWPHjtGuXTsKFy5M/vz5qV27NmfOnDHsv3fvHgMHDqRYsWIUKFCATp06cfnyZQdeRS6xMFulNWsNa6ssWZzK7duOrJgQQgh7+ftv2LFDPa/MMR7jkOUD3CjRV0ZODTju3LlD9erVmTp1qsn9//zzD08//TSVK1dm69atHDp0iA8++AB/f39DmTfeeINVq1axZMkStm3bxoULF4hyw74tS7NVArjHiw8GEd1OzJducJEQQgj3NWNG2vOXmGW9O8WNEn1llM+Zb96qVStatWpldv/7779P69at+fTTTw3bypcvb3geHx/PzJkziYmJ4ZlnngFg9uzZVKlShb1791KvXj37VT63WWkie4XvmM6rAEyfDi+/7IhKCSGEsJfkZJg9Wz33IZlezLV+kBsl+srIqQGHJampqaxZs4bhw4fTokULfv/9d8qVK8eIESPo0KEDAPv37yclJYWmTZsajqtcuTJly5Zlz549ZgOOpKQkkpKSDK8TElR3RcqDSdD6fx2qXj2oUAEuXDC5cMpj/EFdfuUQ1TlyBH77DapVy95bOfU6HUyu1TPJtXqmvHKt+utbty6FW7cgIAA6sIKi3CaFAPMHhoaqe4WL/f/Y+vPS6HSusSyYRqNh+fLlhmDi0qVLlCpVisDAQMaNG0fjxo1Zt24d7733Hlu2bKFRo0bExMTQp0+fdMEDQJ06dWjcuDGffPKJyfeKjo5mzJgxmbbHxMQQGBiY69cmhBBCeKq7d+/StWtX4uPjKVSokNlyLt3CAdC+fXveeOMNAGrUqMHu3bv55ptvaNSoUbbPPWLECIYNG2Z4nZCQQFhYGI0bNyYuLo5mzZrh4+OTswvIrhUr4KWXTA4gvUUBKnGCuwRSsKCOv/7SkJ34KCUlhY0bNzr3Oh1ErtUzybV6prxyrfrrfOmlZiQm+hDBSX6nJl6Y+f5fvLjKKtq2rUPraSt9L4E1LhtwFC9enHz58lG1atV026tUqcLOBzm+Q0JCSE5O5ubNmxQpUsRQ5vLly4SEhJg9t5+fH35+fpm26z/gPj4+zvuwBwdjbhpKEIm0Zymz6EtiIsTGQp8+2X8rp16ng8m1eia5Vs+UV641MdGHxEQfejAbP+6aLzhhgksn+rL1Z+WyeTh8fX2pXbs2x48fT7f9r7/+Ijw8HIBatWrh4+PDJn2KNuD48eOcOXOG+vXrO7S+ucbCbBWAfkw3PJ8+3UJBIYQQLsl4yEM+UujDbMsHlClj3wo5iFNbOG7fvs3ff/9teH3y5EkOHDhAUFAQZcuW5e233+aFF16gYcOGhjEcq1atYuvWrQAULlyYvn37MmzYMIKCgihUqBCDBw+mfv367jVDxZiV2Sp12MdjHOQQ1dm7Fw4fzv7gUSGEEI63YUPaahbt+JEQLOSOcuO8Gxk5tYXj119/pWbNmtSsWROAYcOGUbNmTUaNGgVAx44d+eabb/j000+pVq0aM2bMYNmyZTz99NOGc0ycOJFnn32WTp060bBhQ0JCQoiNjXXK9eQKK2uraEjfyvH1W/86qGJCCCFyg3HuDeO/5ya5cd6NjJwacERGRqLT6TI95syZYyjz0ksvceLECRITEzlw4ADtM8xB9vf3Z+rUqdy4cYM7d+4QGxtrcfyGy7OytgpANxZQgFsAzNlYmquXTGcoFUII4VoOHYLNm9XzCE7SjI2WD3DjvBsZuewYjjwtKkotPVy8uMndRYjnZVSIfE/nz7QRZ0yWE0II4Vq++CLt+SC+Mj8zBSAszGO6U0ACDtcVFaWmQZkxhMl4o9aq/yq2FImJDqqXEEKIbDl3DmIWpC3A2Y0Y0wU1GvWYNMljulNAAg7XZmFkcgSneY4lAFxN8GfePEdVSgghRHZMmZzKfW3abTfQ3FTYMmVUK7cLT4XNDgk4XJmVAaRvktY298UXkCor1wshhEtKSIBvpqk/0r4kWy48Z47HBRsgAYdrszKA9An2E8kWAP76C1avdlTFhBBCZMXMmZBwR2Wi0K/+bdaVKw6okeNJwOHqoqJg8WKz/Xhv8bnh+eefucSyOEIIIYykpMCkj9K6TwbyleUDrORjclcScLiD4GCTa6sAtOInqvAHADt2aoiLc2TFhBBCWLNk+D7OXFMLXz3LKh7mL9MFNRqPm5liTAIOd2Ah3bkXunRjOT791BEVEkIIYQvdfS2fTU1bZdO4VTod/Vg9D5uZYkwCDndgpXmtGwsIQQUlsbFw4IAD6iSEEMKq5R8d40DKowA8wS80ZLvpgsWLe+TMFGMScLgDK7NV/EniXT42vB7d74KjaiaEEMKM1FQYPSPU8DqaaEz/FQcmTvToYAMk4HAPNqQ7f5VvKcM5AH78pTS/7JV050II4Uw/LErlyNkiANRlL61Za76wh6wIa4kEHO7CSrpzf5J4n/GG16OG3HRQxYQQQmR0f8lyonulLa75IR+Ybt3w8IGixiTgcCdW0p33ZSbhnAJg3b5i7NrlmGoJIYQwEhtLzPMrOH6/AgAN2E5Tfs5cLg8MFDUmAYe7sdDs5ksKH/Ch4fUHr3lm8hghhHBZWi0prwxgDKMMm8y2bnhoCnNzJOBwN1YGkPbke8rzNwBbjpRgyxgzI6KFEELkvvHjmXvjWf6lPABN+JlG5mamHDqUZ4INkIDD/VgZQOrDfUYzxvD6g48C0N2XAaRCCGF3Wi1Jk6bxIR8YNhk/zyQPdKMYk4DDHVkZQNqVGCpzDIBdybX56fOjjqydEELkTTt28N1/nThDOACtWUN99jq5Uq5DAg53ZWEAqTepjGG04fWbU8JJSXFQvYQQIi/Sarmxene6FuaxRuM40gkKclClXIsEHO7MwgDS51hCPfYA8OeFwkyb5qhKCSFEHhMbCxERjPkiPzcoBkA35lOL30yXf+01B1bOdUjA4c4sDCDVAJMZYngdHQ3XrzuuakIIkSfExkLnzhw7V4CpDAQgkDt8zLumyxcrBm+95cAKug4JONyZlQGkdfiFHnwPwH//qaBDCCFELtFqYcgQ0OkYxv/Qkg+Ad/iEUM6bPmb69Dw3WFRPAg53FxUFixeb/QBPYASB3AFg2jQdR2X8qBBC5I4dO+DcOdbSinW0AiCMM6ZXhA0Lg2XL8tQ02Iwk4PAEwcEq0jahDBcYwQQAtFoNw4aBTufIygkhhIdauZIU8jGM/xk2fcpwAklMX27kSDh5Mk8HGyABh2e4eNHi7jf5wpDyfMMGWL/eAXUSQghPptXC/PlMZSDHqQzAU+zkBRZnLtukSZ7tRjEmAYcnKFXK4u4A7vEpww2v3xty2941EkIIz7ZjB9eu6dKlIJjE0MwpzIOD88TCbLaQgMMTWEl3DmqabIMH6XX/uVTAUTUTQgjPo9XCpk2MYAI3KQpAb2bzBPszl+3WTVo3HpCAwxMYz1YxE3RoUNG3F2ljPf49ISnPhRAiSx7k3Ng6bgczeAWAgiTwEe+ZLt++vQMr59ok4PAU+nTnFpKBPc7vDCFtGu2Ql27JAFIhhLDV0qXQqROJ567Rj+mGzR/zLqW4lLl8WJh0pxiRgMOTREXBqVNqRLQZH/IBZTkNwPZDRZg920F1E0IId7ZkCXTpAqi/oyeoBMCT7OI1vklfVqNRj0mTpDvFiAQcnsbbW42INiM/d5nEUMPrN9/UcclEYC6EEOKB2Fh4/nnQajnIY4ZB+D4k8x2v4EWGpuLQUNUaksenwWYkAYcnatDA7EqyAE3YbHh+86aGIUPMFhVCiLxNn00U0OLFy8wwZBR9n/FUfbAyt4Hk3DBLAg5P5O0N3btbLVaMawD88AP8+KO9KyWEEG7oQTZRgC95nV+pDUBVjvIuH2cuLzk3zJKAw1PZMDLaeHGhAX0SSUiwZ4WEEMLNPJj+CnCSCEYyDgANqczgZfxITl9eBolaJAGHp7IxN0dLfgLg/I0A3n3+X0fVTgghXNuD6a+MG4cOeI1vuEt+AAbwNfXZm/kYGSRqkQQcnsrG3Bzf8Br5UZlHp61/iHVrJDeHECKPe7DkvL4rZRr92UALAEI5mznnhre3msUi4zYskoDDk9mQmyOcM3zCO4bXvXtouXrVEZUTQggXZLTkPMAfVOFNvjDsnk4/CnEr/TELF6oARVgkAYensyE3xwC+pjVrALj8ny99+8qKskKIPGr8eEPLRhK+dCWGewQAMJgvacW6tLL6Jeefe84ZNXU7EnDkBVZyc2iAWbxEMFcAWLUKvv3WQXUTQghXERsLo9MWY3uf8RykBgCPcCRda7BMf806CTjyCiuDSEtyhdn0MbweNuQ+x46ZLCqEEJ7HKN8GwM804QveAsCXJGLoSgD30srL9Ncsk4AjrzAeRGpGG9YygKkAJCbno1s3HcnJFg8RQgj3p9XClCmGrpTrBNGLuYbdH/Muj3E4rbxMf80WCTjyEv0g0mLFzBb5jLepwh8A/P67hg8+cFTlhBDCCfTTX994AwAd8ArfcQE12L4ZG9ItegnI9NdsyufsCggHi4qCxESzuwNJJIau1GEfKfjy2Wc6WrTQ8MwzDqyjEEI4gn76q9Eo+Vm8xHLUuIxiXGMOvdOvlTJmjIzbyCZp4ciLSpe2uLsGBw3zzHU6Dd063ePiRUdUTAghHCTD9FeAgzzGYKYYXs/gZUpj9McvNBTef9+RtfQoEnDkRfXrq38tZCEdxv9oykYALt3057nG12Q8hxDCcxhNfwX4jyJEEUsigQD041s6sFLt1C83P3mydKXkgAQceZHxL4yZoMMLHTF0JYwzAOw6Xpw32//tiNoJIYR9ZZj+moqG7sznX8oD8AS/MBmjZbRluflcIQFHXjZvnsUspMFcYxmd8CUJgK/WVWD+kF8cVTshhMh9Gaa/AoxlFGtpA6hxG0vpjP+Dv3tMnCj5NnKJBBx5Wdu2VrOQ1uZXpjLQ8LrflEc5+JustyKEcEMZpr8CrKE1Y4gGwAsti+hC+IOWXcLCYPBg6UbJJRJw5HVWspACvMxMXuY7ABJ1AXR8NpkbNxxROSGEyCUZpr8C/E15ujPf8Poj3qMpm9KOkemvuUoCDpGWhdSCKQymNvsAOHkxgO7ddKSmOqJyQgiRQ0uXQqdO6Vo27hBIFLHcpCgAUSxjOJ+mHSPTX3OdBBzCpiyk/iSxjE4URy0l+9M6DdEvSO5zIYSLW7IEunRJt0kH9GM6h3kMgMocYzZ9MAyhl+mvduHUgGP79u20bduW0qVLo9FoWLFihdmyr732GhqNhkmTJqXbfuPGDbp160ahQoUoUqQIffv25fbt2/atuCeKioIffrDYfBjGORbzAl6oMRwfLq3CwiF7HVVDIYTImthYeP55NXbDyEe8RwzdACjALWKJUkvOy/RXu3JqwHHnzh2qV6/O1KlTLZZbvnw5e/fupbSJhFXdunXj6NGjbNy4kdWrV7N9+3b69etnryp7tueeg0WLLBZ5hi3pVkzs/WVNdny41b71EkKIrDIxGwVgAV0ZyXjD6zn0pgp/qhcy/dWunBpwtGrVinHjxtGxY0ezZc6fP8/gwYNZsGABPj4+6fYdO3aMdevWMWPGDOrWrcvTTz/NlClTWLRoERcuXLB39T1T586wbJnFMR1v8gWvMB2AZPxoP+oxjk/Z4KgaCiGEdTt2pBuzAbCNhrzELMPrj3mHTsSqFzL91e5cei2V1NRUevTowdtvv80jjzySaf+ePXsoUqQITzzxhGFb06ZN8fLyIi4uzmwgk5SURFJSkuF1QkICACkpKen+9VRWr7NtW2jdGiZMgM8+M1lkEm9xkTA20ZR7FKTjexX4ueM9gku6VjNkXvmZglyrp5JrzQatFrZsgYAAw6a/qMiLLMEbLwJIoQ+zeYMppBCgvmC99hqkpuKI0fCe9jO19To0Op1RInkn0mg0LF++nA4dOhi2TZgwgS1btrB+/Xo0Gg0REREMHTqUoUOHAvDRRx8xd+5cjh8/nu5cJUqUYMyYMfTv39/ke0VHRzNmzJhM22NiYggMDMy1axJCCCE83d27d+natSvx8fEUKlTIbDmXbeHYv38/kydP5rfffkNjYc2P7BgxYgTDhg0zvE5ISCAsLIzGjRsTFxdHs2bNMnXfeJKUlBQ2btxo/Tq1WqhWDc6fN1vkAqVpwiYuoMbXtH1Wx9zvNS4z3srma/UAcq2eSa7VRlotfP45fPRRus2JBNCG1exHtYRX4zDraEkBbquBobNnQ/v2uXUJNvG0n6m+l8Aalw04duzYwZUrVyhbtqxhm1ar5c0332TSpEmcOnWKkJAQrly5ku64+/fvc+PGDUJCQsye28/PDz8/v0zb9T94Hx8fj/gQWGP1On184JNP1Px1M8L5h2W042l2cpuC/LAEQu+d4IsfK9qhxtmXV36mINfqqeRaLYiNhddfz/TlSIsXvZnPTtSClWU4RyxtKfpgej8//KDGrTmJp/xMbb0Gl83D0aNHDw4dOsSBAwcMj9KlS/P222+zfv16AOrXr8/NmzfZv3+/4bjNmzeTmppK3bp1nVV1z2LDdNnqHGIpnfHmPgD/W1WRL/v87qgaCiHyMn1SrwzBhg616vVy1CDQgiSwltaU4YJKWb5smZqZJxzGqS0ct2/f5u+/01YgPXnyJAcOHCAoKIiyZctSrFixdOV9fHwICQnh4YcfBqBKlSq0bNmSV155hW+++YaUlBQGDRpEly5dTE6hFdn03HNqbrqFX84WbGAa/en3IAX6kDk1KVJgHz2n1HFULYUQec2SJfDiiyZ3jWUUXz5Y8dWb+yylM49xWK0dFR0teTacwKktHL/++is1a9akZs2aAAwbNoyaNWsyatQom8+xYMECKleuTJMmTWjdujVPP/0006dPt1eV8y4bpsu+wgxG8qHhdZ+vahE7XBKDCSHswExSL4D/8QbRpE0MmE4/mrNRvWjSRIINJ3FqC0dkZCRZmSRz6tSpTNuCgoKIiYnJxVoJs6Ki1OCq6GgYN85kkbGM4iZF+IrBpOJNl88eZ3VjLc1byS+4ECKXmEnqBTCDvrzJ/wyvJzKUl5itWmlDQ9XaUcIpXHYMh3BRVlaX1QCTGUIv5gCQgi8d2qeyfYssaS+EyCGtFrZuVV96MiT1AlhIF/qR1sI9hlEMxWidKFn91akk4BBZZ2V1WS90zOBlolgGQGKKD62b3GP3R1sdVEEhhMfRLy/fuLHJFtaldKIH89A9uK29yed8oO/ilZTlLkECDpF1Nqwumw8tMXSlNWsAuKPLT6v3a7Lvky2OqKEQwpPExqpxZCZaNQBW0o4XWYj2wSiBV/mGz3hbrf46ZgycOiXBhguQgENkjw3TZf1IZhmdaIZaZyWBwrQY8Ti//SLdK0IIG+nHa5gZ77eWVjzHEu6jckG8xEy+ZgAab281i2XUKOlGcREScIjss2F1WX+SWEEHIlEtGzd1hWnSMJk9U38zObpcCCEMtFqYMsVsy0YsHenIclLwBaAH3zOdfnihg4ULnZrUS2QmAYfIGRumywaSyCra8jQ7ALh5L4BmgyqxKaSbaioVQoiM9GM23njD5O7v6cFzLCEZlTX6BRYxi5fwDisjSb1clAQcIueiolQf6cSJZosU4A4/0Yom/AzAHQrQ+tpcfuw0RzV7CiGEnn5JBTMtG1MZQC++JxXVVdKb2cx/7xj5tvwsS8y7MAk4RO7w9obBg1VLh5nF9gpwh9U8S3tWAJCMH1HEEvPCSjWCXAiRt61apf7NsACbsQm8yyCmGl4PZgozQ6PJN3YUREbKeA0XJgGHyD3Gs1fMBB3+JLGE5+jKAgC05KO77numP7dBWjqEyMtiY6FHD7O7dcC7TOA9Jhi2vc94JjMEr8kTJdBwAxJwiNwVFaVaK8qUMVvEh/vMowevMQ0AHV68ynQ+f+EXaekQIi/RJ/JasABee83sTJRUNAxkKp/wrmHbJwxnXNi3aJZJfg13IQGHyH36MR1btqiFkkzwQsfXDGA4nxi2va37lA+eO4ZuzFiZwSKEpzNO5NW9O1y9arJYCvnozRymMQAADalM4zWGTywt4zXcjAQcwj68vVV/anS02RksGuBj3mU87xm2jeMD+kSXJTm8osxgEcJT6ZeUNzMoVC+eQrRhDfPoCahVX+fRk9fC1qoxY9KN4lYk4BD2ZSUrqQZ4jwl8yWDDtrn0pvn5Wdzo9LKM6xDC0yxZAl26WC12inCeZDcbaQ6AL0ksoxPdNDGyJoqbkoBD2J8NWUkH8xVL6Iw/iQBsI5L67OHvF96HoUNVP690swjh3iwsKW/sF56gLnH8wSMAFOMam3mG9qG/yZoobkwCDuEYNmQl7cwythJJCS4D8BcPU1e3hx2T96t+3ogI6WYRwl1ZWFI+o2dZwxVKAvAwfxJHXZ4a00LWRHFzEnAIx+nc2WpLR132EUddHuEIADcoRlN+Zj7dVH9vp07SzSKEO7GypLyeDvgfwwC4hz8AjdnMnjLPUX7ZZ7ImigeQgEM4lg0tHRGcZhdP0Zz1gEoQ1oP5jCYaHcCLL8r0WSFcmT7IeOMNKFXK7JLyesn40JeZjGG0YVufhv+wboM3RU8fkFYNDyEBh3A8/forFnJ1FCaBNbThVb4xbBvLaF5kIbe1/ipwGSvTZ4VwOcbTXSdNMjvdVe8yJWjOBmbzkmHb6OePMXNreXybNZJWDQ8iAYdwjqgoOH0axowxWyQfWqbRny8YhoZUABbThTrs4xiVYfRoKFFCAg8hXEVsrPpCYWW6q95OnqImv7ONSAD8uQfAsO+qmEtWLNyYBBzCeby9Vb+shXEdGmAYE1lORwqSAMAxqlKbX1jM83Djhgo8SpaUAaVCOION2UKNqfEabxDJVi5SGoDSnGf1B3H2ratwKgk4hPPZMK6jPT/yK0/wKIcBtdpsFxYzhEkk4wPXr6sBpdLaIYTj2Jgt1FgCBXmOJbzJ/9CSD4DGfrv4beYBar/VyM4VFs4kAYdwDfpxHWaykgJU4gR7qUcPvjds+5IhRLKVczwYDyLdLELYn1arfsdsyBZq7DCP8gS/sozOhm0jup5mQ3w9Sr7Uxh41FS5EAg7hOozXYHn9dfDK/PHMz13m0otv6YcvSQDs4Ulq8js/00QVMu5m0S93LYTIHbGxEB6ufseyYB7dqUscJ6gEQGFNPD8u1/LRgnDy+cnA0LxAAg7hWvRrsEyeDIsXmyyiAfrxHbt4inBOAXCNYJqzgWhGc58Hf7yuX1fNvCCtHULkBv2g0PPnbT7kDoG8yjf0ZB6JBAJQk9/47as9tO0ggUZeIgGHcF1Wps8+wX5+43FasRZQy9yPIZqn2ckJKqQvXLGiygkgKdKFyJpsDArVi6MONfmd6bxq2NY3/0J2xZzhoQEt7VBZ4cok4BCuzcr02SD+YzXP8iEj8eY+AHHUowYH+JZ+GP40Xr+ucgI0bixjPISwxlTiLhsHhYJaUn400TzFLkMXSmC+JGa+/Scz4p8n4MUO9qu7cFkScAjXp58+u2wZFCuWabcXOkYynl08RUX+AuAu+XmNb3meHzKfTz/GIyhIWj2EyCiLibsyOk4lnmIXYxltmIVSp7aO34/68dKnlSWRVx4mAYdwH1FRcPmyau0oWjTT7rrs43dq8hrTDNs20AKAVbTNfL6EhLRWj5AQCT6EyGLiLmM64Gv6U5Pf+YU6gIotxoyBXbs1VKqUy3UVbkcCDuFe9K0dV6+a7GbJz12mMYA1tKYklwzbuzOf3swmnkKmz3vtWlrwIavSirwkB2M09C5Qilb8xEC+NgwMrVQJ9uxRv6758uVynYVbkoBDuCcr3Syt+YkjPEpb0qbFzqU31TjMKp61fG79qrR9+qg/wtLqITxNDsdo6KWiYQZ9eZQjrCdtEOjAgfD771C7di7XW7g1CTiEe7PQzVKc68xDTYstwC0AzlKWdqwiimVpycLMmTNH/RGWLhfhSXI4RkPvKFVpxDZeYQb/EQSo2GXdOvjqKwgMzL0qC88gAYdwfxa6WfTrP+2hPs3YYNi+nCiqcIzJvI7Wll8D4y4XCT6Eu9C3ZCxcqP5dujTbYzT0EvHnfcZRgwPspIFhe/fucPgwtGiR82oLzyQ9a8Jz6AOPRx+FIUPS/VEty1nW04JFdGEok7hCSW5TkKFMZh49+JZXqcVvtr2PPviYNAmKF1d/aZ990E1z5Yr6mteggYzGF86h1cKOHbBypeoSNG7B8PbO1hgNvfU0ZwBf8y/lDdsqVIBp06Bp05xUWuQF0sIhPI9xivQBAwybNcCLLOJPKvMq3xi27+cJ6rCPoUzkFgWy9l764KNpU/Xo2lW1goSHZx54mvHbprSOiNxmrbskm5+5S5SkKwtoyXpDsOHjAx98oFo1JNgQtpCAQ3gmfYr0CRPU6/feU3k3gKLc5Bv6s4snDavPpuLNZIZShWMsoCuphs6YbDp/Xg081QcdxjcCfVBiajaMBCUiK4w/L2PH5ri7JKNkfJjM61TWHGchXQ3bGzaEgwfVW/r759rbCQ8nAYfIG955R3V3bNkCQ4dCcDBPsoffeJyPeYcA7gJwnlC6s4C6xLHdqH862/r1M99vfv682p7VoETkbaZmmHTtqpLZ5aC7xJgOiC3Um0dKXmMok4nXFQZUzD5rlnr7KlVy5a1EHiIBh8g79K0eEyfCxYuwZQs+QwfxTvFZHOURWrPGUPRXatOI7XQklr+omP33vH4d+vc3fSPQbxs61PagJCPjb7g7d2a/nsI95NIME0v2UYeGbKdTwmz+vpyWt6ZXL/jzTzVbXJPDBkCRN0nAIfIm4+Dj0iXKjenDGp5lPc15jIOGYivoyCMcZTBfco3M+T5scu2a+X06HZw9q8aaWAtKMnavZGwRadNGbV+1CuEB9MHk0qXq9cqVud5lYuwU4bxIDHWJSzf7pFEj+PVXNUs8ONguby3yCAk4hDBKItY89Bi/8TgzeYlSXADgPj58xWDK8w+f8jb38Mv9Olj6pqoPSnbsSNtmKQV1jx7SDeNOTI3bMQ4m+/ZV5fr0ybUuE+MZVDcpzPCAKTzs/TeLeNGw/eGHVYyzZQvUqpU7byvyNpkWK4ReVBS0b4/3jh28dP48L5yL5fPl5fk0riF3yU8ChXmHT5nKQEYwgT7Mxo9kx9Xv4kX1r1arpv1auvkMHQrt2+fu1Fz9dMuLF2Xqb05ZmrparJjqijN1TE7p+0IWLiQhMISvvi/EF+uqciPBx1CkeHGIjlbDj3x8TJ9GiOyQgEMIY/quFiA/MPod6HdOywevXmTW2pLo8OIM4fTnG8Yxknf5mJeZgT9Jps9XrJgaxn/hgukAQaNRf+Ft6YsvVUr9u2OH5WZ14xaRB9eSY7GxmXKbEBoKkyerQE1PgpL0TP1/rFyZ+f/SmKlgI7eEhnJz/FS+PNaWSZPgv//Sdvn5qTh1xAgoXNh+VRB5lwQcQlhRKtSbGWtK8foheG+EjjVr1bfE84QymK/4iPcYzqf0YzqBJKY/ePp09W/nziq4MA469N82p06FYcPUAFFzQUloqLpZQVpLhzW2lrNG332TsW76Aa1Ll6qgw1JQ0r69ZwcitgYW5lov7Ck4GLp140bjTkz+5UkmD/YiPj5tt5cXdOsGH36o0scIYS8ScAhho8ceg9VrNOzfr/IP/Pij2n6R0rzBJCYwgrf5jP5MI39oUPpv/0uXmr4ZT5qkynh7Ww5KJk1Ku0HrWzqssbWcJZa6b3Q6Vb+hQyE1FZ5/3nRQ0qlT5httVlpHTG23N+P3LFFCbcuYRTY73SL2Djb0n58xY6BiRShVimtVGjDxS2+mdIdbt9KKenur4T7vvaeKCmFvEnAIkUW1aql7zO+/w7hxaeMzr1CSt/mcTwp/xNB++Xi1oRfF9Qc9GB9i9lt+VJT1oESvQQO13VKLSFhY7tyYbe2+sTbLJuON1tbWkRdfVIMpTbWaeHurqcCXLpkOCvT1txTAmDrOWpeHuXoZc3Qrhp7R5+X0abWI2rRn4c6dtCL58kHv3qrr5KGHnFNNkTdJwCFENtWsCcuWqdTO48bBkiXq/not3peRo+DD8aqpesgQ1TpiPD7EJGtBiZ63t7rhmmoR0TNuEckJW7tlspoPwpbWkXPn4LPPMh97/rxav2bhQjUVODExc5liD6YwZ2xVsRYo2NLlYa5ejqIPmvQedJnQvj26pxuwY7c3X3aG5cvVf62ejw+89JIKNKTrRDiDBBxC5FC1arB4sUr0OH48LFqk/tAnJamsjLNmqVwGQ4ZAu3ZW4gBrQYmeuRYRgHnz0reI5ERudMuYY611xNJx1pgKGmwJFJzVMmELjUY9Fi5UQYZRUHovxZuFC+HLN+DAgfSH+frCK6+oZLthYU6puRCABBxC5JqqVVVX/ocfqnGgM2diGJy3bZt6hIfDoEEqtULRojl8w4wtIiEhkJAAbdvm+FoMbOm+sXWWjTl2yJbp1vStVhlbW8qUgY8/ThdMnj8P00bDt99mzi8XEqKS3Pbrp54L4WyS+EuIXPbQQ/DFF+oL9dSpKoGS3unT8Pbb6h7erx/s2ZPDXE76FpEXX4Snn85p1U2ff/Jk9TxjPmvjWTahoZLvOreEhqq+usuXVdatmTPV9kOHICoKrRbWr4cuXVRusPHj0wcbtWvD/PnqszZqlAQbwnVIwCGEnRQooHoL/vgD1q2DVq3S9t29C999B08+CZUrw0cfqd4Fl6TvvilTJv320FC1/bnnzAcllmg0eS9Xtv7/Rz/GRC84WI1n2bIFTp5Mm7kUGanG6gB//eNtGH/RsqXqxrt/Xx2eL5+KOffsgbg4NaTD19dhVyWETSTgEMLOvLygRQtYuxaOH4fBg1UwovfXX/D+++pG0qyZ6pa5e9d59TUpKgpOnVI3xJiY9DdG/X5TQYn+xprXWkfMBRYZWy/0/5cXL6p1fSIj0w3y+e8/NQYIVMvFxx+rbhS94sXVZ+fUKXWqevU8779SeA6nBhzbt2+nbdu2lC5dGo1Gw4oVKwz7UlJSeOedd6hWrRr58+endOnS9OzZkwsXLqQ7x40bN+jWrRuFChWiSJEi9O3bl9u3bzv4SoSwTaVK8OWX6v4yZ45aKkNPp4Off1YTMEJC4OWXYfv29DMNnMq4+ybDjREwHZRcvqxusLndOuLqzAUWGVsvTPxfJier4PSFF9SY0DfeSH/qfPnU4OPYWBV8jBuX+b9XCFfk1EGjd+7coXr16rz00ktEZRhVf/fuXX777Tc++OADqlevzn///ceQIUNo164dv/76q6Fct27duHjxIhs3biQlJYU+ffrQr18/YmJiHH05QtisQAG13HevXuoePW+eCkD+/Vftv3VLdd3PnAklS6qxoR07wjPPuHhTualZNtnNQRIWpgYqZJzGWqyY/ZqAzA3YNGauXkbTU9Ndnw2zju7cUd1uy5fD6tWkywQaEKD+rVZNxSddu6alDxHCnTg14GjVqhWtjDu2jRQuXJiNGzem2/bVV19Rp04dzpw5Q9myZTl27Bjr1q3jl19+4YknngBgypQptG7dms8//5zSpUvb/RqEyKmICPjgAxg5UuWxmjsXfvghLSvk5csqQ/r06VCokEo90bGjGhNi3DXj0nKSg2TCBNNpwy0xlYfDXKBgTJ84y7gu5jKNmqpXFnKfXL8Oq1apIGPDBrh3L3OZ4GDo2VM937lTFlMT7s2tpsXGx8ej0WgoUqQIAHv27KFIkSKGYAOgadOmeHl5ERcXR8eOHU2eJykpiaSktMW2EhISANWNY/yvp8or1wnud6316qnH//6nbkYrV8KmTWm5rVJSYMUK9fDzUy0ezz6rxn4EBbnXtZr01FNpz1NT0/qTMmxPadkSNm4kZfVqFZHpB59evar6o+rXV6/37FGZSPXbvL1VXnr9dlPHeXur9zV+T2MW6mWt/+v0adWSsXo17NqVlr9Lo0lryShUSA0K7dhR/VwhhY0b3fznaiN3+33NLk+7TluvQ6PT5WhSXq7RaDQsX76cDh06mNx/7949nnrqKSpXrsyCBQsA+Oijj5g7dy7Hjx9PV7ZEiRKMGTOG/v37mzxXdHQ0Y8aMybQ9JiaGwMDAnF2IEEIIkYfcvXuXrl27Eh8fT6FChcyWc4sWjpSUFJ5//nl0Oh3Tpk3L8flGjBjBsGHDDK8TEhIICwujcePGxMXF0axZM3w8uO0yJSWFjRs3evx1gudda0qKalpftQrWrFFf0vUCAlKYNWsjL73UjKQkH2rWVL0YjRqpVhM/P6dVO9e56s/11i3VcqFP9Hb0qPmy5cqpHG3PPqtmoHiZGcLvqtdqD3nlWj3tOvW9BNa4fMChDzZOnz7N5s2b00VPISEhXLlyJV35+/fvc+PGDUIsZLvx8/PDz8RfX/0P3sfHxyM+BNbklesEz7lWHx9o3lw9Jk+GfftU8/ymTWpNF4DERB8SE33YuVMFJ+PGqWCjfn2oW1fd3GrXVkMa3H1iiDN/rjod/P03/PKL+jnExannxsucGPP1VT0wTZqoWSaPPpq1/39P+QzbIq9cq6dcp63X4NIBhz7YOHHiBFu2bKFYhjnt9evX5+bNm+zfv59atWoBsHnzZlJTU6lbt64zqiyEw3h5pY35GDdODULcuRNee00NQjT+dp2UBFu3qodeyZIq8KhTJy0IyZg2QqS5cEEFFr/8kva4edN8eY1GrSzcpIl6PPUUSI+tyMucGnDcvn2bv//+2/D65MmTHDhwgKCgIEqVKkXnzp357bffWL16NVqtlksP2o+DgoLw9fWlSpUqtGzZ8v/t3X1QVPUeBvAHWF5VQDTEBVEqDUUSCsdBnbR0RK+jJo6pFxWrqdEgxYysDHN6ub6UVpJBOmbOaM3kjBqS74KoI4IK+IrAJGmKyNwQQdFY2O/941wWFlEW47Ds7vOZOcOwv8P6e2ZZfPZ3zp7FG2+8geTkZOh0OsTGxmL69Ol8hwrZnPrFv5UrlZNOS0uBtDRl9ePQIeWExcZu3lRWR1JTG24LCABCQpSrnz7zTMPX/5+nbRP++1/g0iXjLTdXKRwtCQxsKBgjR7bB5+UQWRGzFo5Tp07hxUZXPqo/ryI6OhrLli1DSkoKACAkJMTo59LT0zHy/2+x27p1K2JjYzFq1CjY29tjypQpWLt2bbvMn6gj8/FRrtnw738r35eUNLwyr3+l3vQVenGxsjV3X01LSO/egFYLeHhY1qEZEaC8XLlo1h9/KFd/bVwuystNu58ePYxXh8LClCt/ElHzzFo4Ro4ciUe9ScaUN9B4eXnxIl9EJtBqlctLTJqkfC8C/P678WGCnJyGt+A2VlqqbI0PydRzc1Pu29f3wa89eyqFxN0d6NJF2dr6wmUiyiGjqqqG7dYtpWCVlCjFovHXkhJl/9Zwd1cKReNDUNZ4RXYiNXXocziISD12dsDTTytb/SpIXZ1y6OXSpQdf+Tc5P9ugulo5ebLR0dFHcnIyLiBduigXMNNolPNSGm/1l7bQ65W51dYqhaKmRrlYWp8+yrzqP8Tsn/L1VVZwmm6+viwXRP8UCwcRGTg4AE8+qWz/+pfxWHl5QwkpKlIu1tl45cDEd8ahpkY5T6LxR6q3Vv1Fsm7dal3Z6NrVeAXGz6/hMFG/fkr5ISJ1sHAQkUm8vJS31tZfxLOpO3cePIRRWqoUkcaHO5p+39rDG0BD4QgIUFZMunQxXjVxd1dKReNDPFptw88RUftj4SCiNtG5s7JK0K9f635Op1PKStPDJ3q9suLS+BCLg4Py74gon6ial8fPFyGyFCwcRGRWjo6tf/uolXwEBZFNecjFdImIiIjaDgsHERERqY6Fg4iIiFTHwkFERESqY+EgIiIi1bFwEBERkepYOIiIiEh1LBxERESkOhYOIiIiUh0LBxEREamOhYOIiIhUx8JBREREqmPhICIiItWxcBAREZHqWDiIiIhIdSwcREREpDoWDiIiIlKdxtwT6AhEBABQVVWF6upqVFZWwtHR0cyzUo9Op7OJnACzWitmtU62ktXaclZWVgJo+L/0YVg4oBQNAAgICDDzTIiIiCxTVVUVPDw8HjpuJy1VEhug1+tRUlICEYG/vz/+/PNPuLu7m3taqqmsrESvXr2sPifArNaKWa2TrWS1tpwigqqqKmi1WtjbP/xMDa5wALC3t4efn59hWcjd3d0qfglaYis5AWa1VsxqnWwlqzXlfNTKRj2eNEpERESqY+EgIiIi1bFwNOLs7IyPP/4Yzs7O5p6KqmwlJ8Cs1opZrZOtZLWVnE3xpFEiIiJSHVc4iIiISHUsHERERKQ6Fg4iIiJSHQsHERERqc4mC8f169cxc+ZMdOvWDa6urggODsapU6cM4yKCpUuXomfPnnB1dcXo0aNRVFRkxhk/nrq6OiQkJCAgIACurq546qmn8Omnnxpd795Ssx45cgQTJkyAVquFnZ0ddu7caTRuSq7y8nJERUXB3d0dnp6eeP3113Hnzp12TNGyR+XU6XRYvHgxgoOD0alTJ2i1WsyePRslJSVG92EJOYGWH9PG5s6dCzs7O3z99ddGt1tT1vz8fEycOBEeHh7o1KkTBg8ejKtXrxrG79+/j5iYGHTr1g2dO3fGlClTcPPmzXZMYZqWst65cwexsbHw8/ODq6srBgwYgOTkZKN9LCHr8uXLMXjwYHTp0gXe3t54+eWXUVBQYLSPKTmuXr2K8ePHw83NDd7e3oiPj0dtbW17RlGNzRWOW7duYdiwYXB0dMSePXtw8eJFrF69Gl27djXss2rVKqxduxbJycnIyspCp06dEBERgfv375tx5q23cuVKJCUl4dtvv0V+fj5WrlyJVatWITEx0bCPpWa9e/cuBg0ahHXr1jU7bkquqKgoXLhwAQcOHEBqaiqOHDmCN998s70imORROaurq5GTk4OEhATk5ORg+/btKCgowMSJE432s4ScQMuPab0dO3bgxIkT0Gq1D4xZS9bff/8dw4cPR2BgIA4fPoyzZ88iISEBLi4uhn0WLlyIXbt2Ydu2bcjIyEBJSQkiIyPbK4LJWsr6zjvvYO/evdiyZQvy8/MRFxeH2NhYpKSkGPaxhKwZGRmIiYnBiRMncODAAeh0OowZMwZ379417NNSjrq6OowfPx41NTU4fvw4Nm/ejB9//BFLly41R6S2JzZm8eLFMnz48IeO6/V68fHxkS+++MJwW0VFhTg7O8vPP//cHlNsM+PHj5fXXnvN6LbIyEiJiooSEevJCkB27Nhh+N6UXBcvXhQAcvLkScM+e/bsETs7O7l+/Xq7zb01muZsTnZ2tgCQK1euiIhl5hR5eNZr166Jr6+vnD9/Xnr37i1fffWVYcyask6bNk1mzpz50J+pqKgQR0dH2bZtm+G2/Px8ASCZmZlqTfUfay5rUFCQfPLJJ0a3Pffcc7JkyRIRsdysZWVlAkAyMjJExLQcu3fvFnt7eyktLTXsk5SUJO7u7vL333+3bwAV2NwKR0pKCsLCwjB16lR4e3sjNDQUGzZsMIwXFxejtLQUo0ePNtzm4eGBIUOGIDMz0xxTfmxDhw7FoUOHUFhYCAA4c+YMjh07hnHjxgGwrqyNmZIrMzMTnp6eCAsLM+wzevRo2NvbIysrq93n3FZu374NOzs7eHp6ArCunHq9HrNmzUJ8fDyCgoIeGLeWrHq9Hr/99hv69euHiIgIeHt7Y8iQIUaHIk6fPg2dTmf0Ox4YGAh/f3+Le+4OHToUKSkpuH79OkQE6enpKCwsxJgxYwBYbtbbt28DALy8vACYliMzMxPBwcHo0aOHYZ+IiAhUVlbiwoUL7Th7ddhc4bh8+TKSkpLQt29f7Nu3D/PmzcP8+fOxefNmAEBpaSkAGD3g9d/Xj1mK999/H9OnT0dgYCAcHR0RGhqKuLg4REVFAbCurI2Zkqu0tBTe3t5G4xqNBl5eXhab/f79+1i8eDFmzJhh+EAoa8q5cuVKaDQazJ8/v9lxa8laVlaGO3fuYMWKFRg7diz279+PyZMnIzIyEhkZGQCUrE5OToZiWc8Sn7uJiYkYMGAA/Pz84OTkhLFjx2LdunV44YUXAFhmVr1ej7i4OAwbNgwDBw4EYFqO0tLSZv9u1Y9ZOpv7tFi9Xo+wsDD85z//AQCEhobi/PnzSE5ORnR0tJln17Z++eUXbN26FT/99BOCgoKQl5eHuLg4aLVaq8tq63Q6HV555RWICJKSksw9nTZ3+vRpfPPNN8jJyYGdnZ25p6MqvV4PAJg0aRIWLlwIAAgJCcHx48eRnJyMESNGmHN6bS4xMREnTpxASkoKevfujSNHjiAmJgZardZoNcCSxMTE4Pz58zh27Ji5p9Kh2NwKR8+ePTFgwACj2/r37284+9vHxwcAHjhz+ObNm4YxSxEfH29Y5QgODsasWbOwcOFCLF++HIB1ZW3MlFw+Pj4oKyszGq+trUV5ebnFZa8vG1euXMGBAweMPu7aWnIePXoUZWVl8Pf3h0ajgUajwZUrV7Bo0SL06dMHgPVk7d69OzQaTYt/p2pqalBRUWG0j6U9d+/du4cPP/wQa9aswYQJE/Dss88iNjYW06ZNw5dffgnA8rLGxsYiNTUV6enp8PPzM9xuSg4fH59m/27Vj1k6myscw4YNe+CtSoWFhejduzcAICAgAD4+Pjh06JBhvLKyEllZWQgPD2/Xuf5T1dXVsLc3fogdHBwMr6CsKWtjpuQKDw9HRUUFTp8+bdgnLS0Ner0eQ4YMafc5P676slFUVISDBw+iW7duRuPWknPWrFk4e/Ys8vLyDJtWq0V8fDz27dsHwHqyOjk5YfDgwY/8O/X888/D0dHR6He8oKAAV69etajnrk6ng06ne+TfKUvJKiKIjY3Fjh07kJaWhoCAAKNxU3KEh4fj3LlzRsW5/kVE0wJqkcx80mq7y87OFo1GI59//rkUFRXJ1q1bxc3NTbZs2WLYZ8WKFeLp6Sm//vqrnD17ViZNmiQBAQFy7949M8689aKjo8XX11dSU1OluLhYtm/fLt27d5f33nvPsI+lZq2qqpLc3FzJzc0VALJmzRrJzc01vDvDlFxjx46V0NBQycrKkmPHjknfvn1lxowZ5orUrEflrKmpkYkTJ4qfn5/k5eXJjRs3DFvjM9otIadIy49pU03fpSJiPVm3b98ujo6Osn79eikqKpLExERxcHCQo0ePGu5j7ty54u/vL2lpaXLq1CkJDw+X8PBwc0V6qJayjhgxQoKCgiQ9PV0uX74smzZtEhcXF/nuu+8M92EJWefNmyceHh5y+PBho+didXW1YZ+WctTW1srAgQNlzJgxkpeXJ3v37pUnnnhCPvjgA3NEanM2VzhERHbt2iUDBw4UZ2dnCQwMlPXr1xuN6/V6SUhIkB49eoizs7OMGjVKCgoKzDTbx1dZWSkLFiwQf39/cXFxkSeffFKWLFli9J+RpWZNT08XAA9s0dHRImJarr/++ktmzJghnTt3Fnd3d3n11VelqqrKDGke7lE5i4uLmx0DIOnp6Yb7sIScIi0/pk01VzisKevGjRvl6aefFhcXFxk0aJDs3LnT6D7u3bsnb731lnTt2lXc3Nxk8uTJcuPGjXZO0rKWst64cUPmzJkjWq1WXFxc5JlnnpHVq1eLXq833IclZH3Yc3HTpk2GfUzJ8ccff8i4cePE1dVVunfvLosWLRKdTtfOadTBj6cnIiIi1dncORxERETU/lg4iIiISHUsHERERKQ6Fg4iIiJSHQsHERERqY6Fg4iIiFTHwkFERESqY+EgIiIi1bFwEBERkepYOIiow6mrq8PQoUMRGRlpdPvt27fRq1cvLFmyxEwzI6LHxUubE1GHVFhYiJCQEGzYsAFRUVEAgNmzZ+PMmTM4efIknJyczDxDImoNFg4i6rDWrl2LZcuW4cKFC8jOzsbUqVNx8uRJDBo0yNxTI6JWYuEgog5LRPDSSy/BwcEB586dw9tvv42PPvrI3NMiosfAwkFEHdqlS5fQv39/BAcHIycnBxqNxtxTIqLHwJNGiahD++GHH+Dm5obi4mJcu3bN3NMhosfEFQ4i6rCOHz+OESNGYP/+/fjss88AAAcPHoSdnZ2ZZ0ZErcUVDiLqkKqrqzFnzhzMmzcPL774IjZu3Ijs7GwkJyebe2pE9Bi4wkFEHdKCBQuwe/dunDlzBm5ubgCA77//Hu+++y7OnTuHPn36mHeCRNQqLBxE1OFkZGRg1KhROHz4MIYPH240FhERgdraWh5aIbIwLBxERESkOp7DQURERKpj4SAiIiLVsXAQERGR6lg4iIiISHUsHERERKQ6Fg4iIiJSHQsHERERqY6Fg4iIiFTHwkFERESqY+EgIiIi1bFwEBERker+B9Zmq1QU18aLAAAAAElFTkSuQmCC\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "sq = simplify_shape(curves[2][0])"
      ],
      "metadata": {
        "id": "ApYII3vUYzvZ"
      },
      "execution_count": 158,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "square = np.array(sq)"
      ],
      "metadata": {
        "id": "x_WaH09AZHZt"
      },
      "execution_count": 160,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "s= np.array(curves[2][0])"
      ],
      "metadata": {
        "id": "ByTPURI9cZ7S"
      },
      "execution_count": 173,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "# Extract x and y coordinates\n",
        "x_values = s[:, 0]\n",
        "y_values = s[:, 1]\n",
        "\n",
        "# Create a scatter plot\n",
        "plt.scatter(x_values, y_values)\n",
        "\n",
        "# Label the axes\n",
        "plt.xlabel('X-axis')\n",
        "plt.ylabel('Y-axis')\n",
        "\n",
        "# Give a title to the plot\n",
        "plt.title('Simplified Points Visualization')\n",
        "\n",
        "# Show the plot\n",
        "plt.show()\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 472
        },
        "id": "olIklZIXZe_L",
        "outputId": "1dffaabd-801d-4954-a4d8-837c2cab9d5c"
      },
      "execution_count": 174,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from scipy.spatial import Delaunay, ConvexHull\n",
        "\n",
        "def find_rectangle_corners(points):\n",
        "    tri = Delaunay(points)\n",
        "\n",
        "    hull_points = ConvexHull(points).vertices\n",
        "\n",
        "    corners = [hull_points[[0, 1]], hull_points[[2, 3]]]\n",
        "\n",
        "    return corners\n",
        "\n",
        "# Example usage\n",
        "points = s\n",
        "corners = find_rectangle_corners(points)\n",
        "print(\"Detected corners:\", corners)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "n9-nsaDuZuZs",
        "outputId": "0813908c-56bd-4e21-fb3f-d135e03fc952"
      },
      "execution_count": 187,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Detected corners: [array([208, 209], dtype=int32), array([210, 211], dtype=int32)]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "\n",
        "def extend_rectangle_with_diagonal(corner1, corner2):\n",
        "    \"\"\"\n",
        "    Extend the rectangle by finding the other two corners given one diagonal.\n",
        "    \"\"\"\n",
        "    # Calculate the midpoint of the diagonal\n",
        "    mid_point = np.mean([corner1, corner2], axis=0)\n",
        "\n",
        "    # Calculate the vector from the known corner to the midpoint\n",
        "    vector_to_midpoint = mid_point - corner1\n",
        "\n",
        "    # Reflect this vector through the midpoint to get the vector to the other unknown corner\n",
        "    vector_to_other_corner = -vector_to_midpoint\n",
        "\n",
        "    # Add this vector to the midpoint to find the other unknown corner\n",
        "    other_unknown_corner = mid_point + vector_to_other_corner\n",
        "\n",
        "    # The fourth corner is the reflection of the second corner through the midpoint\n",
        "    fourth_corner = mid_point + (-1) * vector_to_other_corner\n",
        "\n",
        "    return other_unknown_corner, fourth_corner\n",
        "\n",
        "# Example usage\n",
        "known_corners = corners  # Known corners\n",
        "other_unknown_corner, fourth_corner = extend_rectangle_with_diagonal(known_corners[0], known_corners[1])\n",
        "\n",
        "print(\"Other Unknown Corner:\", other_unknown_corner)\n",
        "print(\"Fourth Corner:\", fourth_corner)\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "wWnELtvFcBoY",
        "outputId": "8b5d87d0-1032-4270-f40a-1b9fb7306e60"
      },
      "execution_count": 188,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Other Unknown Corner: [208. 209.]\n",
            "Fourth Corner: [210. 211.]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "corn = np.concatenate((corners, [other_unknown_corner, fourth_corner]), axis=0)"
      ],
      "metadata": {
        "id": "v31Nij4VdUFk"
      },
      "execution_count": 189,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "corn"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "CHNsNjqNemrH",
        "outputId": "1b183532-8011-4d3c-ee57-79434d28a798"
      },
      "execution_count": 190,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "array([[208., 209.],\n",
              "       [210., 211.],\n",
              "       [208., 209.],\n",
              "       [210., 211.]])"
            ]
          },
          "metadata": {},
          "execution_count": 190
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "def fit_rect(corners):\n",
        "  x_coords = [c[0] for c in corners]\n",
        "  y_coords = [c[1] for c in corners]\n",
        "\n",
        "  # Plotting\n",
        "  fig, ax = plt.subplots()\n",
        "  ax.scatter(x_coords, y_coords, color='red')  # Plot corners\n",
        "  ax.plot([x_coords[0], x_coords[2], x_coords[3], x_coords[1], x_coords[0]], [y_coords[0], y_coords[2], y_coords[3], y_coords[1], y_coords[0]], color='blue')  # Plot rectangle sides\n",
        "\n",
        "  # Measure sides\n",
        "  side1 = np.sqrt((corners[1][0]-corners[0][0])**2 + (corners[1][1]-corners[0][1])**2)\n",
        "  side2 = np.sqrt((corners[2][0]-corners[1][0])**2 + (corners[2][1]-corners[1][1])**2)\n",
        "  side3 = np.sqrt((corners[3][0]-corners[2][0])**2 + (corners[3][1]-corners[2][1])**2)\n",
        "  side4 = np.sqrt((corners[0][0]-corners[3][0])**2 + (corners[0][1]-corners[3][1])**2)\n",
        "\n",
        "  # Check if sides are approximately equal\n",
        "  print(f\"Sides: {side1:.2f}, {side2:.2f}, {side3:.2f}, {side4:.2f}\")\n",
        "  print(f\"Is rectangle? {'Yes' if side1 == side2 and side2 == side3 and side3 == side4 else 'No'}\")\n",
        "\n",
        "  plt.title('Rectangle Visualization')\n",
        "  plt.xlabel('X-axis')\n",
        "  plt.ylabel('Y-axis')\n",
        "  plt.grid(True)\n",
        "  plt.show()\n"
      ],
      "metadata": {
        "id": "Rzvr-QL0eLsI"
      },
      "execution_count": 191,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "fit_rect(corn)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 507
        },
        "id": "BU7Lc1mReaXW",
        "outputId": "207d65ae-195f-4b40-deb3-16bd2dbf093b"
      },
      "execution_count": 192,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Sides: 2.83, 2.83, 2.83, 2.83\n",
            "Is rectangle? Yes\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": "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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [],
      "metadata": {
        "id": "FTaqwj3wedmJ"
      },
      "execution_count": null,
      "outputs": []
    }
  ]
}