{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<mpl_toolkits.mplot3d.art3d.Line3D at 0x113bced30>]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from mpl_toolkits.mplot3d import Axes3D\n",
    "import numpy as np\n",
    "%matplotlib inline\n",
    "\n",
    "# 関数をそれぞれ次にように定義する．\n",
    "def f1(y1, y2):\n",
    "    return -10 * y1+ 10 * y2\n",
    "\n",
    "def f2(y1, y2, y3):\n",
    "    return -y1*y3+28*y1-y2\n",
    "\n",
    "def f3(y1, y2, y3):\n",
    "    return y1*y2- (8/3)*y3\n",
    "\n",
    "n = 10000\n",
    "\n",
    "#刻み幅\n",
    "h = 0.005\n",
    "\n",
    "# 時刻t\n",
    "t = np.zeros(n)\n",
    "t[1] = 50\n",
    "\n",
    "y1 = np.zeros(n)\n",
    "y2 = np.zeros(n)\n",
    "y3 = np.zeros(n)\n",
    "\n",
    "#初期値\n",
    "y1[1] = 10\n",
    "y2[1] = 29\n",
    "y3[1] = 4\n",
    "\n",
    "\n",
    "# ルンゲクッタ法\n",
    "for i in range(n) :\n",
    "    i= i + 1\n",
    "    \n",
    "    if i < n-1 :\n",
    "        k1 = h * f1(y1[i],y2[i])\n",
    "        l1 = h * f2(y1[i],y2[i],y3[i])\n",
    "        m1 = h * f3(y1[i],y2[i],y3[i])\n",
    "        s1 = y1[i] + k1/2\n",
    "        s2 = y2[i] + l1/2\n",
    "        s3 = y3[i] + m1/2\n",
    "\n",
    "        k2 = h * f1(s1,s2)\n",
    "        l2 = h * f2(s1,s2,s3)\n",
    "        m2 = h * f3(s1,s2,s3)\n",
    "        s1 = y1[i] + k2/2\n",
    "        s2 = y2[i] + l2/2\n",
    "        s3 = y3[i] + m2/2\n",
    "\n",
    "        k3 = h * f1(s1,s2)\n",
    "        l3 = h * f2(s1,s2,s3)\n",
    "        m3 = h * f3(s1,s2,s3)\n",
    "        s1 = y1[i] + k3\n",
    "        s2 = y2[i] + l3\n",
    "        s3 = y3[i] + m3\n",
    "\n",
    "        k4 = h * f1(s1,s2)\n",
    "        l4 = h * f2(s1,s2,s3)\n",
    "        m4 = h * f3(s1,s2,s3)\n",
    "\n",
    "        y1[i +1] = y1[i] + (k1 + 2*k2 + 2*k3 + k4)/6\n",
    "        y2[i +1] = y2[i] + (l1 + 2*l2 + 2*l3 +l4) / 6\n",
    "        y3[i +1] = y3[i] + (m1 + 2*m2 + 2*m3 + m4) /6\n",
    "        \n",
    "fig = plt.figure()\n",
    "ax = Axes3D(fig)\n",
    "\n",
    "ax.plot(y1,y2,y3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
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       "  359.519,141.011 355.933,144.107 352.507,147.156 349.24,150.146 346.131,153.072 343.18,155.928 340.382,158.711 337.735,161.419 335.234,164.052 332.873,166.612 \n",
       "  330.648,169.098 328.553,171.515 326.581,173.864 324.727,176.148 322.984,178.371 321.346,180.536 319.808,182.646 318.363,184.704 317.005,186.714 315.728,188.679 \n",
       "  314.527,190.601 313.397,192.483 312.331,194.327 311.326,196.136 310.375,197.911 309.475,199.656 308.621,201.37 307.808,203.056 307.033,204.715 306.292,206.349 \n",
       "  305.58,207.957 304.894,209.542 304.232,211.104 303.589,212.643 302.963,214.16 302.35,215.656 301.749,217.131 301.156,218.586 300.568,220.02 299.984,221.433 \n",
       "  299.401,222.827 298.816,224.2 298.228,225.553 297.635,226.886 297.035,228.199 296.425,229.492 295.803,230.764 295.169,232.015 294.52,233.245 293.855,234.454 \n",
       "  293.171,235.642 292.467,236.807 291.742,237.949 290.994,239.069 290.221,240.165 289.422,241.236 288.594,242.282 287.737,243.303 286.849,244.297 285.928,245.263 \n",
       "  284.973,246.201 283.982,247.108 282.953,247.985 281.885,248.829 280.777,249.639 279.626,250.414 278.431,251.151 277.19,251.848 275.903,252.505 274.567,253.117 \n",
       "  273.181,253.683 271.743,254.201 270.252,254.666 268.707,255.076 267.106,255.428 265.449,255.718 263.733,255.943 261.959,256.097 260.125,256.176 258.231,256.176 \n",
       "  256.276,256.092 254.261,255.917 252.186,255.647 250.05,255.276 247.856,254.796 245.603,254.202 243.295,253.487 240.933,252.642 238.521,251.662 236.061,250.539 \n",
       "  233.558,249.264 231.018,247.83 228.445,246.23 225.846,244.457 223.23,242.502 220.605,240.36 217.981,238.025 215.368,235.49 212.778,232.752 210.224,229.807 \n",
       "  207.721,226.654 205.284,223.292 202.928,219.723 200.671,215.952 198.531,211.983 196.526,207.828 194.676,203.496 192.999,199.004 191.514,194.37 190.242,189.614 \n",
       "  189.198,184.761 188.402,179.839 187.868,174.878 187.61,169.913 187.639,164.977 187.966,160.109 188.596,155.346 189.532,150.728 190.775,146.293 192.321,142.077 \n",
       "  194.162,138.118 196.289,134.446 198.688,131.091 201.342,128.078 204.232,125.427 207.335,123.153 210.628,121.266 214.087,119.77 217.684,118.665 221.393,117.943 \n",
       "  225.189,117.595 229.045,117.606 232.935,117.956 236.837,118.624 240.729,119.588 244.589,120.821 248.4,122.296 252.145,123.989 255.809,125.872 259.381,127.92 \n",
       "  262.85,130.109 266.208,132.414 269.447,134.816 272.564,137.294 275.554,139.829 278.416,142.407 281.148,145.013 283.751,147.634 286.225,150.259 288.573,152.88 \n",
       "  290.797,155.488 292.901,158.076 294.886,160.64 296.759,163.175 298.522,165.677 300.18,168.143 301.737,170.572 303.199,172.962 304.569,175.312 305.853,177.622 \n",
       "  307.054,179.891 308.179,182.119 309.23,184.306 310.212,186.453 311.129,188.561 311.987,190.629 312.787,192.66 313.535,194.652 314.234,196.608 314.887,198.528 \n",
       "  315.498,200.413 316.07,202.264 316.606,204.081 317.109,205.865 317.582,207.618 318.026,209.339 318.445,211.031 318.842,212.692 319.217,214.325 319.574,215.929 \n",
       "  319.913,217.505 320.238,219.054 320.55,220.577 320.85,222.074 321.141,223.545 321.423,224.991 321.698,226.413 321.967,227.811 322.232,229.185 322.493,230.536 \n",
       "  322.753,231.863 323.011,233.169 323.27,234.452 323.53,235.713 323.792,236.952 324.057,238.17 324.325,239.366 324.599,240.542 324.879,241.697 325.165,242.831 \n",
       "  325.459,243.944 325.761,245.038 326.072,246.11 326.393,247.163 326.726,248.195 327.07,249.207 327.426,250.199 327.796,251.17 328.18,252.121 328.58,253.052 \n",
       "  328.996,253.961 329.429,254.85 329.88,255.718 330.351,256.565 330.841,257.39 331.353,258.193 331.887,258.973 332.445,259.731 333.028,260.465 333.637,261.176 \n",
       "  334.273,261.862 334.938,262.523 335.632,263.158 336.359,263.766 337.118,264.347 337.913,264.899 338.743,265.421 339.612,265.912 340.52,266.371 341.47,266.796 \n",
       "  342.464,267.186 343.503,267.538 344.59,267.852 345.726,268.125 346.914,268.355 348.157,268.539 349.456,268.675 350.813,268.76 352.232,268.791 353.715,268.765 \n",
       "  355.264,268.678 356.882,268.526 358.572,268.305 360.335,268.011 362.175,267.639 364.094,267.184 366.095,266.64 368.18,266.001 370.351,265.26 372.61,264.412 \n",
       "  374.96,263.449 377.401,262.364 379.936,261.147 382.566,259.792 385.29,258.288 388.11,256.628 391.023,254.8 394.03,252.796 397.128,250.605 400.314,248.216 \n",
       "  403.584,245.621 406.933,242.809 410.353,239.769 413.838,236.493 417.376,232.973 420.957,229.2 424.567,225.17 428.19,220.877 431.808,216.319 435.402,211.496 \n",
       "  438.948,206.413 442.422,201.077 445.796,195.497 449.041,189.69 452.125,183.676 455.015,177.481 457.676,171.137 460.071,164.681 462.166,158.157 463.923,151.614 \n",
       "  465.309,145.107 466.29,138.694 466.836,132.439 466.922,126.408 466.527,120.668 465.635,115.284 464.237,110.321 462.333,105.838 459.926,101.888 457.032,98.5173 \n",
       "  453.671,95.7602 449.871,93.6411 445.667,92.1723 441.099,91.3535 436.212,91.1724 431.055,91.6049 425.677,92.6164 420.129,94.1633 414.463,96.1947 408.725,98.6546 \n",
       "  402.963,101.484 397.217,104.621 391.528,108.008 385.928,111.586 380.447,115.301 375.109,119.104 369.935,122.95 364.939,126.8 360.135,130.623 355.53,134.39 \n",
       "  351.129,138.079 346.935,141.674 342.948,145.163 339.165,148.536 335.583,151.789 332.197,154.919 329,157.926 325.987,160.813 323.148,163.582 320.477,166.239 \n",
       "  317.964,168.788 315.602,171.235 313.383,173.586 311.297,175.847 309.336,178.024 307.492,180.123 305.758,182.149 304.125,184.108 302.586,186.004 301.133,187.843 \n",
       "  299.76,189.627 298.46,191.362 297.226,193.05 296.053,194.694 294.934,196.297 293.864,197.861 292.837,199.389 291.849,200.882 290.895,202.342 289.97,203.77 \n",
       "  289.07,205.167 288.191,206.534 287.329,207.871 286.48,209.18 285.641,210.459 284.809,211.71 283.98,212.933 283.151,214.126 282.32,215.291 281.485,216.427 \n",
       "  280.642,217.533 279.789,218.608 278.925,219.653 278.046,220.666 277.151,221.647 276.238,222.594 275.306,223.507 274.351,224.385 273.374,225.226 272.372,226.028 \n",
       "  271.345,226.792 270.29,227.514 269.206,228.194 268.093,228.83 266.949,229.419 265.774,229.961 264.567,230.453 263.326,230.892 262.052,231.278 260.744,231.606 \n",
       "  259.401,231.876 258.025,232.083 256.613,232.226 255.168,232.302 253.689,232.307 252.177,232.24 250.632,232.095 249.056,231.871 247.451,231.565 245.817,231.172 \n",
       "  244.156,230.69 242.472,230.115 240.766,229.444 239.041,228.674 237.301,227.802 235.549,226.824 233.789,225.738 232.027,224.542 230.266,223.233 228.513,221.809 \n",
       "  226.773,220.27 225.052,218.613 223.358,216.839 221.697,214.948 220.077,212.941 218.506,210.821 216.992,208.589 215.544,206.249 214.17,203.807 212.88,201.268 \n",
       "  211.682,198.639 210.585,195.929 209.599,193.147 208.731,190.303 207.991,187.41 207.385,184.48 206.921,181.527 206.606,178.566 206.446,175.612 206.444,172.683 \n",
       "  206.605,169.795 206.931,166.965 207.424,164.21 208.083,161.548 208.908,158.994 209.895,156.565 211.041,154.276 212.339,152.141 213.785,150.171 215.369,148.378 \n",
       "  217.083,146.772 218.918,145.359 220.863,144.144 222.906,143.133 225.036,142.325 227.241,141.722 229.509,141.32 231.827,141.116 234.184,141.106 236.567,141.281 \n",
       "  238.965,141.635 241.367,142.158 243.762,142.842 246.142,143.675 248.496,144.647 250.817,145.747 253.097,146.964 255.329,148.288 257.507,149.708 259.627,151.212 \n",
       "  261.683,152.793 263.672,154.439 265.591,156.142 267.437,157.894 269.208,159.687 270.904,161.514 272.523,163.367 274.065,165.242 275.53,167.132 276.918,169.032 \n",
       "  278.23,170.939 279.467,172.848 280.63,174.756 281.72,176.659 282.738,178.555 283.687,180.441 284.568,182.316 285.382,184.177 286.132,186.023 286.819,187.853 \n",
       "  287.445,189.665 288.012,191.459 288.522,193.233 288.976,194.987 289.376,196.721 289.724,198.433 290.022,200.123 290.27,201.792 290.471,203.438 290.625,205.061 \n",
       "  290.734,206.662 290.8,208.24 290.823,209.795 290.803,211.327 290.743,212.835 290.643,214.32 290.504,215.781 290.326,217.218 290.11,218.632 289.856,220.021 \n",
       "  289.564,221.387 289.236,222.727 288.871,224.043 288.469,225.334 288.031,226.6 287.555,227.84 287.043,229.054 286.494,230.242 285.907,231.402 285.283,232.535 \n",
       "  284.62,233.64 283.919,234.716 283.179,235.763 282.399,236.778 281.579,237.763 280.718,238.715 279.815,239.633 278.869,240.516 277.88,241.364 276.847,242.173 \n",
       "  275.769,242.943 274.645,243.672 273.474,244.358 272.255,245 270.988,245.593 269.671,246.138 268.304,246.63 266.886,247.067 265.417,247.445 263.895,247.763 \n",
       "  262.321,248.016 260.693,248.201 259.012,248.314 257.278,248.351 255.49,248.307 253.649,248.178 251.756,247.959 249.811,247.645 247.816,247.231 245.772,246.712 \n",
       "  243.682,246.081 241.547,245.333 239.37,244.462 237.156,243.463 234.908,242.329 232.63,241.054 230.329,239.632 228.009,238.059 225.678,236.328 223.343,234.435 \n",
       "  221.013,232.376 218.697,230.146 216.405,227.743 214.148,225.165 211.938,222.412 209.786,219.484 207.707,216.383 205.714,213.114 203.822,209.681 202.045,206.094 \n",
       "  200.4,202.36 198.9,198.494 197.563,194.51 196.401,190.424 195.431,186.256 194.666,182.028 194.118,177.764 193.799,173.49 193.718,169.233 193.884,165.023 \n",
       "  194.301,160.889 194.974,156.862 195.903,152.971 197.087,149.248 198.522,145.72 200.201,142.414 202.114,139.355 204.25,136.564 206.595,134.059 209.134,131.856 \n",
       "  211.847,129.965 214.717,128.395 217.723,127.146 220.845,126.22 224.061,125.611 227.35,125.311 230.693,125.31 234.068,125.593 237.457,126.144 240.841,126.946 \n",
       "  244.204,127.98 247.531,129.225 250.807,130.662 254.021,132.27 257.162,134.028 260.221,135.919 263.189,137.923 266.06,140.023 268.831,142.202 271.495,144.446 \n",
       "  274.052,146.741 276.499,149.074 278.836,151.435 281.062,153.813 283.178,156.201 285.187,158.59 287.088,160.974 288.886,163.347 290.583,165.706 292.18,168.045 \n",
       "  293.683,170.362 295.094,172.654 296.416,174.92 297.653,177.157 298.809,179.364 299.887,181.54 300.891,183.685 301.825,185.798 302.692,187.88 303.495,189.929 \n",
       "  304.238,191.947 304.923,193.933 305.555,195.888 306.135,197.813 306.668,199.707 307.155,201.571 307.599,203.405 308.002,205.211 308.368,206.989 308.698,208.738 \n",
       "  308.994,210.461 309.258,212.157 309.492,213.827 309.698,215.472 309.877,217.092 310.031,218.687 310.161,220.258 310.268,221.806 310.354,223.331 310.42,224.834 \n",
       "  310.466,226.315 310.494,227.774 310.504,229.213 310.497,230.63 310.473,232.028 310.434,233.406 310.379,234.764 310.309,236.104 310.225,237.425 310.127,238.727 \n",
       "  310.014,240.012 309.888,241.279 309.747,242.529 309.593,243.762 309.425,244.979 309.244,246.179 309.048,247.363 308.839,248.531 308.615,249.684 308.377,250.821 \n",
       "  308.124,251.943 307.856,253.051 307.572,254.144 307.272,255.222 306.956,256.286 306.623,257.336 306.273,258.372 305.904,259.394 305.516,260.403 305.109,261.397 \n",
       "  304.682,262.379 304.233,263.346 303.763,264.3 303.27,265.241 302.752,266.168 302.21,267.081 301.642,267.981 301.046,268.866 300.422,269.738 299.769,270.595 \n",
       "  299.084,271.437 298.367,272.265 297.616,273.077 296.83,273.873 296.007,274.653 295.145,275.415 294.242,276.16 293.297,276.886 292.308,277.593 291.272,278.279 \n",
       "  290.189,278.943 289.054,279.584 287.868,280.2 286.626,280.789 285.327,281.351 283.968,281.882 282.547,282.38 281.061,282.843 279.507,283.268 277.884,283.652 \n",
       "  276.188,283.991 274.417,284.281 272.568,284.518 270.638,284.697 268.625,284.814 266.526,284.862 264.338,284.836 262.061,284.728 259.691,284.532 257.226,284.239 \n",
       "  254.666,283.841 252.008,283.329 249.253,282.692 246.4,281.919 243.449,281 240.402,279.922 237.26,278.671 234.027,277.234 230.706,275.597 227.302,273.745 \n",
       "  223.822,271.661 220.275,269.331 216.67,266.739 213.019,263.868 209.335,260.703 205.635,257.229 201.936,253.433 198.259,249.303 194.628,244.828 191.068,240.002 \n",
       "  187.606,234.821 184.275,229.284 181.105,223.397 178.133,217.171 175.394,210.621 172.926,203.77 170.766,196.651 168.952,189.301 167.521,181.766 166.506,174.101 \n",
       "  165.939,166.367 165.847,158.631 166.252,150.968 167.171,143.456 168.613,136.174 170.58,129.202 173.065,122.62 176.054,116.501 179.526,110.912 183.451,105.912 \n",
       "  187.791,101.549 192.505,97.8576 197.545,94.8602 202.861,92.5652 208.4,90.9676 214.109,90.0498 219.936,89.7824 225.83,90.1261 231.744,91.0339 237.634,92.4526 \n",
       "  243.46,94.3251 249.189,96.5925 254.79,99.1958 260.239,102.078 265.516,105.183 270.605,108.462 275.494,111.867 280.175,115.357 284.645,118.895 288.902,122.449 \n",
       "  292.945,125.994 296.778,129.506 300.404,132.967 303.831,136.364 307.063,139.686 310.109,142.923 312.977,146.071 315.674,149.125 318.21,152.084 320.594,154.947 \n",
       "  322.833,157.714 324.938,160.388 326.916,162.968 328.775,165.459 330.525,167.862 332.173,170.181 333.726,172.418 335.193,174.577 336.58,176.66 337.894,178.67 \n",
       "  339.141,180.61 340.328,182.483 341.461,184.29 342.545,186.034 343.586,187.718 344.588,189.342 345.557,190.91 346.497,192.422 347.413,193.879 348.308,195.283 \n",
       "  349.186,196.636 350.052,197.937 350.908,199.188 351.758,200.389 352.604,201.54 353.451,202.643 354.3,203.697 355.154,204.703 356.016,205.659 356.887,206.567 \n",
       "  357.771,207.426 358.668,208.235 359.582,208.994 360.514,209.703 361.465,210.361 362.437,210.966 363.432,211.519 364.451,212.018 365.495,212.463 366.565,212.851 \n",
       "  367.663,213.182 368.789,213.454 369.945,213.666 371.13,213.817 372.346,213.905 373.593,213.927 374.871,213.884 376.18,213.772 377.521,213.59 378.893,213.337 \n",
       "  380.296,213.009 381.73,212.606 383.193,212.126 384.684,211.566 386.203,210.925 387.748,210.201 389.317,209.393 390.908,208.499 392.519,207.517 394.148,206.447 \n",
       "  395.79,205.287 397.443,204.038 399.104,202.697 400.768,201.266 402.43,199.744 404.086,198.133 405.731,196.434 407.358,194.648 408.962,192.778 410.537,190.828 \n",
       "  412.076,188.8 413.571,186.7 415.015,184.533 416.401,182.304 417.721,180.021 418.967,177.692 420.13,175.325 421.203,172.929 422.178,170.516 423.046,168.095 \n",
       "  423.801,165.678 424.435,163.279 424.941,160.908 425.314,158.581 425.547,156.309 425.637,154.107 425.579,151.987 425.371,149.964 425.01,148.049 424.497,146.255 \n",
       "  423.831,144.592 423.015,143.071 422.051,141.702 420.943,140.491 419.697,139.446 418.318,138.571 416.813,137.869 415.192,137.342 413.462,136.991 411.634,136.814 \n",
       "  409.717,136.808 407.722,136.969 405.66,137.292 403.541,137.769 401.378,138.392 399.18,139.155 396.958,140.047 394.723,141.059 392.485,142.181 390.252,143.403 \n",
       "  388.034,144.715 385.839,146.107 383.675,147.571 381.547,149.095 379.464,150.673 377.429,152.294 375.448,153.953 373.525,155.641 371.664,157.352 369.868,159.079 \n",
       "  368.138,160.819 366.478,162.565 364.887,164.314 363.368,166.061 361.921,167.804 360.547,169.539 359.244,171.265 358.012,172.978 356.852,174.677 355.761,176.361 \n",
       "  354.74,178.028 353.786,179.678 352.9,181.308 352.078,182.92 351.32,184.512 350.624,186.083 349.989,187.633 349.412,189.162 348.894,190.67 348.431,192.155 \n",
       "  348.023,193.619 347.668,195.061 347.364,196.48 347.111,197.877 346.906,199.251 346.749,200.601 346.639,201.928 346.573,203.232 346.553,204.511 346.575,205.767 \n",
       "  346.64,206.997 346.747,208.202 346.895,209.382 347.084,210.535 347.312,211.662 347.58,212.762 347.886,213.834 348.232,214.877 348.616,215.892 349.039,216.876 \n",
       "  349.5,217.83 350,218.752 350.538,219.641 351.115,220.497 351.731,221.319 352.386,222.104 353.081,222.853 353.815,223.564 354.59,224.235 355.406,224.866 \n",
       "  356.263,225.454 357.162,225.998 358.104,226.497 359.089,226.948 360.118,227.351 361.191,227.701 362.31,227.999 363.474,228.241 364.685,228.425 365.943,228.55 \n",
       "  367.248,228.611 368.602,228.607 370.004,228.535 371.455,228.391 372.956,228.174 374.506,227.879 376.105,227.504 377.754,227.046 379.451,226.5 381.197,225.863 \n",
       "  382.99,225.133 384.829,224.304 386.714,223.375 388.642,222.341 390.612,221.199 392.62,219.945 394.665,218.576 396.742,217.09 398.847,215.484 400.977,213.754 \n",
       "  403.126,211.9 405.289,209.92 407.458,207.812 409.628,205.578 411.79,203.216 413.936,200.729 416.057,198.12 418.143,195.391 420.183,192.547 422.167,189.596 \n",
       "  424.082,186.543 425.916,183.399 427.657,180.173 429.291,176.877 430.806,173.527 432.186,170.136 433.42,166.723 434.495,163.304 435.397,159.901 436.115,156.534 \n",
       "  436.638,153.225 436.956,149.996 437.061,146.87 436.946,143.87 436.606,141.019 436.037,138.339 435.238,135.849 434.211,133.57 432.959,131.517 431.487,129.706 \n",
       "  429.802,128.149 427.914,126.854 425.835,125.828 423.579,125.074 421.159,124.592 418.592,124.379 415.895,124.428 413.085,124.73 410.182,125.274 407.203,126.047 \n",
       "  404.167,127.033 401.09,128.216 397.991,129.579 394.886,131.103 391.79,132.771 388.717,134.563 385.681,136.464 382.692,138.455 379.762,140.521 376.9,142.646 \n",
       "  374.114,144.818 371.409,147.024 368.793,149.251 366.268,151.492 363.84,153.736 361.509,155.977 359.278,158.208 357.147,160.423 355.116,162.619 353.186,164.793 \n",
       "  351.354,166.94 349.62,169.06 347.981,171.15 346.435,173.211 344.981,175.24 343.614,177.239 342.333,179.207 341.134,181.144 340.015,183.05 338.973,184.928 \n",
       "  338.003,186.776 337.104,188.595 336.272,190.388 335.505,192.153 334.799,193.892 334.151,195.605 333.559,197.294 333.02,198.959 332.532,200.6 332.092,202.218 \n",
       "  331.698,203.813 331.347,205.387 331.038,206.939 330.769,208.469 330.538,209.978 330.342,211.467 330.181,212.935 330.053,214.383 329.957,215.811 329.891,217.219 \n",
       "  329.854,218.607 329.845,219.975 329.864,221.323 329.909,222.651 329.979,223.959 330.075,225.248 330.195,226.516 330.339,227.765 330.507,228.993 330.698,230.201 \n",
       "  330.912,231.389 331.149,232.556 331.409,233.702 331.692,234.827 331.998,235.931 332.328,237.013 332.681,238.074 333.057,239.112 333.458,240.128 333.884,241.121 \n",
       "  334.335,242.09 334.811,243.036 335.314,243.958 335.844,244.854 336.403,245.725 336.989,246.57 337.606,247.388 338.253,248.179 338.932,248.941 339.644,249.674 \n",
       "  340.39,250.377 341.171,251.048 341.989,251.687 342.844,252.292 343.739,252.862 344.675,253.395 345.653,253.891 346.676,254.346 347.744,254.76 348.859,255.13 \n",
       "  350.024,255.455 351.24,255.731 352.509,255.957 353.832,256.13 355.213,256.246 356.652,256.304 358.152,256.299 359.715,256.228 361.342,256.087 363.036,255.872 \n",
       "  364.799,255.579 366.633,255.203 368.538,254.739 370.517,254.183 372.572,253.527 374.703,252.768 376.912,251.898 379.2,250.911 381.566,249.801 384.012,248.559 \n",
       "  386.536,247.18 389.139,245.656 391.818,243.978 394.571,242.14 397.397,240.133 400.29,237.95 403.247,235.584 406.262,233.026 409.329,230.271 412.438,227.312 \n",
       "  415.582,224.144 418.748,220.762 421.925,217.164 425.099,213.349 428.253,209.316 431.372,205.068 434.435,200.612 437.421,195.954 440.308,191.107 443.072,186.084 \n",
       "  445.687,180.906 448.128,175.594 450.365,170.175 452.372,164.681 454.121,159.147 455.584,153.611 456.735,148.118 457.549,142.712 458.005,137.442 458.083,132.358 \n",
       "  457.767,127.511 457.046,122.951 455.914,118.725 454.369,114.878 452.415,111.451 450.061,108.479 447.323,105.989 444.221,104.002 440.78,102.53 437.029,101.577 \n",
       "  433.001,101.136 428.732,101.195 424.26,101.732 419.623,102.72 414.861,104.123 410.011,105.905 405.11,108.022 400.193,110.432 395.292,113.091 390.437,115.954 \n",
       "  385.653,118.98 380.964,122.129 376.389,125.364 371.944,128.653 367.642,131.966 363.494,135.278 359.507,138.567 355.686,141.816 352.035,145.01 348.554,148.138 \n",
       "  345.242,151.192 342.098,154.167 339.119,157.059 336.301,159.865 333.638,162.587 331.125,165.225 328.756,167.781 326.526,170.257 324.427,172.658 322.453,174.986 \n",
       "  320.598,177.246 318.853,179.441 317.214,181.575 315.673,183.652 314.224,185.675 312.86,187.648 311.577,189.575 310.366,191.457 309.224,193.299 308.144,195.102 \n",
       "  307.121,196.869 306.15,198.602 305.227,200.304 304.346,201.974 303.504,203.616 302.695,205.23 301.917,206.817 301.165,208.379 300.435,209.916 299.724,211.43 \n",
       "  299.03,212.919 298.348,214.386 297.675,215.83 297.01,217.251 296.348,218.651 295.688,220.028 295.027,221.383 294.363,222.716 293.693,224.027 293.015,225.315 \n",
       "  292.327,226.581 291.627,227.823 290.913,229.042 290.183,230.238 289.435,231.409 288.667,232.556 287.879,233.677 287.066,234.772 286.23,235.841 285.366,236.881 \n",
       "  284.474,237.893 283.553,238.876 282.6,239.828 281.614,240.748 280.593,241.636 279.537,242.488 278.442,243.305 277.309,244.084 276.135,244.824 274.919,245.522 \n",
       "  273.659,246.177 272.355,246.787 271.005,247.348 269.608,247.859 268.162,248.316 266.666,248.717 265.12,249.058 263.523,249.336 261.874,249.547 260.172,249.688 \n",
       "  258.417,249.754 256.608,249.741 254.747,249.644 252.832,249.458 250.866,249.179 248.847,248.801 246.779,248.318 244.662,247.724 242.498,247.014 240.291,246.182 \n",
       "  238.043,245.221 235.758,244.125 233.44,242.888 231.095,241.503 228.728,239.965 226.346,238.268 223.956,236.407 221.566,234.376 219.186,232.171 216.825,229.789 \n",
       "  214.494,227.228 212.204,224.485 209.97,221.561 207.803,218.456 205.718,215.175 203.73,211.722 201.855,208.105 200.107,204.331 198.503,200.414 197.059,196.366 \n",
       "  195.791,192.205 194.714,187.95 193.843,183.623 193.192,179.247 192.772,174.849 192.595,170.457 192.67,166.101 193.004,161.812 193.601,157.621 194.464,153.561 \n",
       "  195.591,149.663 196.979,145.957 198.623,142.472 200.513,139.235 202.639,136.269 204.985,133.594 207.536,131.228 210.275,129.184 213.181,127.469 216.234,126.089 \n",
       "  219.412,125.043 222.694,124.328 226.057,123.936 229.48,123.857 232.942,124.075 236.422,124.576 239.902,125.34 243.363,126.349 246.789,127.58 250.166,129.013 \n",
       "  253.481,130.626 256.722,132.398 259.879,134.31 262.945,136.34 265.911,138.472 268.773,140.686 271.527,142.969 274.17,145.305 276.7,147.68 279.116,150.084 \n",
       "  281.418,152.506 283.608,154.937 285.685,157.369 287.653,159.796 289.514,162.21 291.271,164.608 292.926,166.986 294.483,169.34 295.945,171.668 297.317,173.967 \n",
       "  298.601,176.236 299.802,178.473 300.924,180.678 301.97,182.85 302.944,184.989 303.85,187.095 304.69,189.167 305.47,191.206 306.191,193.213 306.858,195.187 \n",
       "  307.474,197.129 308.041,199.039 308.562,200.919 309.041,202.768 309.479,204.587 309.879,206.378 310.244,208.14 310.576,209.873 310.876,211.58 311.147,213.26 \n",
       "  311.391,214.913 311.609,216.541 311.803,218.144 311.975,219.723 312.125,221.278 312.255,222.809 312.366,224.318 312.46,225.804 312.537,227.268 312.598,228.711 \n",
       "  312.645,230.132 312.677,231.534 312.696,232.915 312.701,234.276 312.695,235.618 312.676,236.942 312.647,238.247 312.606,239.533 312.554,240.802 312.492,242.054 \n",
       "  312.42,243.288 312.338,244.506 312.245,245.707 312.143,246.893 312.031,248.062 311.909,249.216 311.778,250.355 311.636,251.479 311.484,252.588 311.322,253.682 \n",
       "  311.15,254.763 310.967,255.829 310.773,256.882 310.568,257.922 310.352,258.948 310.123,259.962 309.882,260.962 309.629,261.95 309.363,262.925 309.082,263.889 \n",
       "  308.788,264.84 308.479,265.779 308.154,266.706 307.813,267.622 307.456,268.526 307.081,269.419 306.687,270.301 306.275,271.171 305.842,272.03 305.388,272.878 \n",
       "  304.913,273.714 304.414,274.539 303.892,275.353 303.344,276.156 302.77,276.947 302.168,277.727 301.537,278.494 300.875,279.25 300.182,279.993 299.455,280.723 \n",
       "  298.693,281.44 297.894,282.144 297.057,282.833 296.18,283.508 295.26,284.167 294.296,284.809 293.285,285.434 292.226,286.041 291.116,286.627 289.953,287.193 \n",
       "  288.734,287.736 287.458,288.254 286.12,288.746 284.719,289.209 283.251,289.641 281.715,290.039 280.106,290.4 278.423,290.721 276.662,290.998 274.819,291.227 \n",
       "  272.893,291.403 270.88,291.521 268.776,291.576 266.58,291.561 264.288,291.47 261.898,291.296 259.407,291.03 256.813,290.663 254.114,290.187 251.308,289.59 \n",
       "  248.395,288.861 245.374,287.989 242.246,286.96 239.011,285.76 235.671,284.375 232.23,282.789 228.691,280.986 225.061,278.948 221.346,276.657 217.556,274.096 \n",
       "  213.701,271.246 209.795,268.089 205.853,264.606 201.894,260.781 197.938,256.598 194.009,252.042 190.133,247.103 186.34,241.772 182.663,236.045 179.136,229.922 \n",
       "  175.797,223.411 172.688,216.524 169.848,209.282 167.322,201.714 165.153,193.858 163.383,185.76 162.052,177.478 161.2,169.077 160.86,160.63 161.06,152.22 \n",
       "  161.824,143.933 163.165,135.863 165.09,128.101 167.596,120.74 170.67,113.868 174.29,107.566 178.424,101.906 183.033,96.9472 188.069,92.7349 193.48,89.2986 \n",
       "  199.208,86.6514 205.192,84.7902 211.373,83.6962 217.689,83.3365 224.082,83.6662 230.498,84.6302 236.886,86.1662 243.202,88.2074 249.406,90.6844 255.465,93.5281 \n",
       "  261.351,96.6714 267.042,100.05 272.522,103.607 277.777,107.286 282.802,111.042 287.59,114.833 292.142,118.623 296.459,122.385 300.544,126.092 304.404,129.727 \n",
       "  308.045,133.275 311.476,136.725 314.704,140.069 317.74,143.302 320.593,146.421 323.273,149.426 325.789,152.317 328.151,155.096 330.37,157.765 332.453,160.327 \n",
       "  334.412,162.786 336.254,165.146 337.988,167.41 339.622,169.582 341.164,171.667 342.623,173.667 344.004,175.587 345.316,177.429 346.563,179.198 347.754,180.895 \n",
       "  348.893,182.524 349.986,184.087 351.039,185.586 352.056,187.024 353.042,188.401 354.002,189.721 354.939,190.983 355.858,192.19 356.762,193.343 357.655,194.441 \n",
       "  358.54,195.487 359.42,196.481 360.298,197.423 361.176,198.313 362.057,199.152 362.943,199.939 363.837,200.675 364.74,201.36 365.654,201.993 366.581,202.573 \n",
       "  367.522,203.101 368.479,203.576 369.452,203.997 370.444,204.364 371.455,204.675 372.486,204.93 373.537,205.128 374.609,205.269 375.702,205.35 376.818,205.372 \n",
       "  377.955,205.332 379.113,205.231 380.294,205.066 381.495,204.838 382.717,204.544 383.959,204.184 385.22,203.756 386.499,203.261 387.794,202.696 389.105,202.062 \n",
       "  390.428,201.357 391.763,200.582 393.107,199.735 394.457,198.817 395.811,197.827 397.166,196.767 398.518,195.636 399.865,194.436 401.202,193.167 402.525,191.832 \n",
       "  403.83,190.431 405.114,188.969 406.37,187.447 407.594,185.868 408.781,184.237 409.926,182.557 411.024,180.834 412.068,179.073 413.054,177.279 413.975,175.459 \n",
       "  414.827,173.619 415.604,171.768 416.3,169.912 416.911,168.059 417.431,166.219 417.857,164.399 418.184,162.609 418.408,160.858 418.527,159.155 418.537,157.508 \n",
       "  418.437,155.928 418.225,154.421 417.901,152.998 417.464,151.664 416.916,150.429 416.258,149.298 415.492,148.276 414.621,147.37 413.649,146.584 412.58,145.919 \n",
       "  411.419,145.38 410.172,144.968 408.845,144.681 407.444,144.522 405.977,144.487 404.449,144.574 402.869,144.781 401.244,145.103 399.581,145.536 397.889,146.076 \n",
       "  396.174,146.716 394.444,147.45 392.706,148.274 390.967,149.179 389.233,150.16 387.51,151.211 385.805,152.324 384.122,153.494 382.466,154.714 380.843,155.979 \n",
       "  379.257,157.283 377.71,158.619 376.206,159.985 374.749,161.373 373.341,162.781 371.984,164.203 370.679,165.637 369.428,167.078 368.233,168.524 367.094,169.971 \n",
       "  366.012,171.417 364.988,172.86 364.02,174.297 363.111,175.726 362.258,177.147 361.463,178.556 360.723,179.953 360.04,181.337 359.413,182.707 358.839,184.06 \n",
       "  358.32,185.397 357.854,186.717 357.44,188.018 357.077,189.3 356.765,190.563 356.503,191.804 356.289,193.025 356.123,194.224 356.005,195.401 355.933,196.554 \n",
       "  355.906,197.683 355.925,198.788 355.987,199.868 356.094,200.922 356.243,201.949 356.435,202.949 356.669,203.921 356.945,204.864 357.262,205.776 357.621,206.658 \n",
       "  358.02,207.509 358.459,208.327 358.939,209.111 359.459,209.86 360.018,210.573 360.618,211.25 361.258,211.888 361.938,212.486 362.658,213.044 363.418,213.559 \n",
       "  364.218,214.03 365.058,214.457 365.938,214.836 366.858,215.167 367.819,215.447 368.82,215.676 369.861,215.85 370.943,215.969 372.064,216.03 373.226,216.032 \n",
       "  374.427,215.972 375.668,215.847 376.948,215.657 378.266,215.398 379.621,215.07 381.014,214.668 382.443,214.191 383.906,213.638 385.403,213.005 386.931,212.291 \n",
       "  388.49,211.493 390.076,210.611 391.688,209.641 393.322,208.583 394.977,207.435 396.648,206.195 398.332,204.864 400.024,203.44 401.721,201.923 403.417,200.314 \n",
       "  405.108,198.613 406.787,196.822 408.448,194.942 410.086,192.976 411.692,190.928 413.261,188.801 414.784,186.6 416.253,184.331 417.661,182.001 418.999,179.615 \n",
       "  420.259,177.184 421.431,174.716 422.508,172.221 423.481,169.711 424.342,167.196 425.082,164.689 425.695,162.204 426.174,159.754 426.512,157.352 426.703,155.014 \n",
       "  426.743,152.752 426.629,150.582 426.357,148.517 425.926,146.57 425.336,144.753 424.587,143.079 423.683,141.556 422.625,140.196 421.42,139.004 420.072,137.988 \n",
       "  418.589,137.152 416.978,136.498 415.249,136.028 413.412,135.741 411.476,135.635 409.452,135.707 407.353,135.95 405.188,136.359 402.971,136.925 400.712,137.64 \n",
       "  398.423,138.496 396.115,139.481 393.798,140.586 391.482,141.799 389.178,143.111 386.894,144.511 384.638,145.988 382.418,147.533 380.241,149.135 378.112,150.787 \n",
       "  376.037,152.479 374.021,154.204 372.068,155.954 370.18,157.724 368.361,159.506 366.613,161.297 364.938,163.091 363.336,164.884 361.808,166.673 360.354,168.454 \n",
       "  358.975,170.225 357.67,171.984 356.439,173.729 355.28,175.457 354.192,177.168 353.175,178.861 352.226,180.534 351.345,182.188 350.529,183.821 349.778,185.434 \n",
       "  349.089,187.025 348.46,188.594 347.891,190.142 347.38,191.667 346.924,193.17 346.522,194.652 346.173,196.11 345.875,197.546 345.626,198.959 345.426,200.35 \n",
       "  345.273,201.717 345.166,203.061 345.104,204.381 345.085,205.677 345.108,206.95 345.174,208.197 345.28,209.42 345.427,210.618 345.613,211.79 345.839,212.936 \n",
       "  346.103,214.055 346.405,215.147 346.745,216.21 347.124,217.246 347.54,218.252 347.993,219.228 348.484,220.173 349.014,221.086 349.581,221.966 350.186,222.813 \n",
       "  350.83,223.626 351.513,224.402 352.236,225.141 352.998,225.842 353.801,226.503 354.645,227.123 355.53,227.7 356.458,228.233 357.429,228.72 358.443,229.159 \n",
       "  359.503,229.548 360.607,229.885 361.758,230.169 362.955,230.396 364.2,230.564 365.493,230.671 366.835,230.714 368.227,230.69 369.669,230.597 371.161,230.431 \n",
       "  372.704,230.19 374.299,229.869 375.945,229.466 377.641,228.976 379.389,228.397 381.188,227.725 383.036,226.956 384.932,226.086 386.876,225.111 388.866,224.028 \n",
       "  390.899,222.833 392.974,221.522 395.086,220.091 397.233,218.538 399.411,216.86 401.614,215.053 403.838,213.116 406.077,211.047 408.324,208.845 410.571,206.509 \n",
       "  412.811,204.04 415.035,201.44 417.232,198.711 419.394,195.856 421.507,192.88 423.561,189.791 425.543,186.596 427.439,183.304 429.237,179.928 430.922,176.479 \n",
       "  432.48,172.973 433.896,169.425 435.157,165.856 436.248,162.284 437.156,158.73 437.869,155.217 438.374,151.769 438.663,148.41 438.725,145.165 438.554,142.057 \n",
       "  438.145,139.112 437.495,136.351 436.602,133.798 435.469,131.471 434.1,129.39 432.5,127.567 430.678,126.017 428.646,124.747 426.417,123.764 424.004,123.069 \n",
       "  421.424,122.661 418.696,122.535 415.837,122.684 412.867,123.097 409.805,123.761 406.671,124.66 403.484,125.777 400.262,127.094 397.025,128.592 393.789,130.251 \n",
       "  390.569,132.051 387.38,133.973 384.236,135.998 381.148,138.109 378.127,140.288 375.182,142.521 372.32,144.794 369.548,147.093 366.871,149.408 364.293,151.728 \n",
       "  361.817,154.046 359.444,156.354 357.176,158.645 355.014,160.916 352.956,163.162 351.002,165.381 349.15,167.569 347.398,169.725 345.745,171.849 344.187,173.939 \n",
       "  342.722,175.996 341.346,178.02 340.057,180.01 338.851,181.967 337.725,183.893 336.676,185.788 335.7,187.653 334.794,189.488 333.955,191.295 333.179,193.075 \n",
       "  332.464,194.828 331.807,196.555 331.204,198.257 330.653,199.935 330.151,201.589 329.696,203.221 329.285,204.83 328.915,206.417 328.586,207.983 328.294,209.528 \n",
       "  328.037,211.052 327.815,212.557 327.625,214.041 327.465,215.505 327.335,216.95 327.232,218.376 327.156,219.783 327.106,221.17 327.08,222.539 327.077,223.889 \n",
       "  327.097,225.219 327.139,226.532 327.202,227.825 327.286,229.1 327.391,230.356 327.515,231.593 327.659,232.811 327.822,234.01 328.004,235.191 328.205,236.352 \n",
       "  328.425,237.494 328.664,238.617 328.922,239.72 329.2,240.804 329.497,241.868 329.814,242.911 330.151,243.935 330.508,244.938 330.887,245.92 331.287,246.881 \n",
       "  331.71,247.821 332.155,248.739 332.624,249.635 333.116,250.508 333.635,251.358 334.179,252.185 334.75,252.987 335.349,253.764 335.976,254.516 336.635,255.241 \n",
       "  337.324,255.94 338.046,256.61 338.802,257.251 339.594,257.862 340.422,258.443 341.288,258.99 342.195,259.504 343.143,259.982 344.134,260.424 345.17,260.827 \n",
       "  346.254,261.19 347.386,261.51 348.569,261.785 349.805,262.013 351.096,262.192 352.444,262.318 353.852,262.389 355.321,262.401 356.854,262.351 358.453,262.235 \n",
       "  360.12,262.049 361.858,261.789 363.669,261.45 365.555,261.028 367.517,260.517 369.559,259.911 371.682,259.204 373.888,258.391 376.177,257.463 378.552,256.416 \n",
       "  381.013,255.24 383.561,253.928 386.196,252.473 388.916,250.865 391.722,249.096 394.612,247.157 397.582,245.04 400.63,242.736 403.75,240.235 406.938,237.529 \n",
       "  410.187,234.61 413.487,231.471 416.83,228.104 420.204,224.505 423.596,220.668 426.991,216.592 430.372,212.275 433.719,207.721 437.012,202.932 440.228,197.919 \n",
       "  443.342,192.691 446.327,187.265 449.153,181.662 451.792,175.905 454.212,170.025 456.381,164.056 458.267,158.037 459.84,152.015 461.069,146.036 461.926,140.155 \n",
       "  462.386,134.426 462.426,128.906 462.028,123.655 461.181,118.73 459.877,114.185 458.115,110.072 455.901,106.437 453.246,103.319 450.169,100.748 446.694,98.7464 \n",
       "  442.852,97.3242 438.677,96.4829 434.208,96.2131 429.487,96.4955 424.559,97.3021 419.466,98.597 414.254,100.338 408.965,102.478 403.641,104.966 398.319,107.752 \n",
       "  393.035,110.784 387.82,114.011 382.701,117.386 377.702,120.865 372.842,124.408 368.137,127.979 363.6,131.547 359.239,135.086 355.062,138.576 351.07,141.998 \n",
       "  347.266,145.34 343.65,148.591 340.218,151.746 336.968,154.8 333.894,157.751 330.992,160.601 328.255,163.349 325.675,166 323.247,168.557 320.963,171.024 \n",
       "  318.815,173.405 316.795,175.705 314.897,177.93 313.112,180.084 311.434,182.171 309.855,184.197 308.367,186.165 306.966,188.079 305.643,189.943 304.392,191.761 \n",
       "  303.208,193.536 302.085,195.27 301.016,196.965 299.998,198.625 299.024,200.25 298.089,201.844 297.19,203.406 296.322,204.939 295.48,206.444 294.661,207.92 \n",
       "  293.861,209.37 293.076,210.794 292.302,212.192 291.538,213.564 290.779,214.911 290.022,216.233 289.266,217.529 288.506,218.8 287.741,220.045 286.968,221.264 \n",
       "  286.185,222.457 285.39,223.622 284.58,224.761 283.754,225.871 282.909,226.953 282.044,228.005 281.156,229.026 280.245,230.016 279.307,230.974 278.343,231.898 \n",
       "  277.35,232.787 276.326,233.64 275.27,234.455 274.181,235.231 273.058,235.966 271.898,236.658 270.702,237.306 269.468,237.907 268.194,238.459 266.88,238.959 \n",
       "  265.525,239.406 264.129,239.796 262.689,240.127 261.208,240.395 259.682,240.598 258.114,240.732 256.501,240.794 254.846,240.78 253.148,240.686 251.407,240.508 \n",
       "  249.626,240.242 247.804,239.884 245.944,239.429 244.047,238.873 242.116,238.211 240.154,237.439 238.163,236.552 236.148,235.545 234.112,234.414 232.061,233.155 \n",
       "  229.999,231.764 227.932,230.237 225.868,228.571 223.813,226.762 221.774,224.809 219.761,222.71 217.782,220.464 215.847,218.072 213.966,215.535 212.15,212.855 \n",
       "  210.41,210.036 208.758,207.084 207.205,204.005 205.765,200.809 204.448,197.504 203.266,194.103 202.233,190.62 201.358,187.07 200.654,183.471 200.129,179.841 \n",
       "  199.792,176.2 199.652,172.569 199.714,168.972 199.985,165.432 200.466,161.971 201.159,158.614 202.064,155.384 203.178,152.303 204.497,149.393 206.014,146.674 \n",
       "  207.722,144.163 209.61,141.877 211.667,139.829 213.881,138.03 216.235,136.487 218.717,135.206 221.31,134.189 223.997,133.434 226.762,132.939 229.588,132.698 \n",
       "  232.46,132.702 235.36,132.941 238.275,133.405 241.19,134.078 244.09,134.949 246.964,136 249.8,137.217 252.588,138.586 255.319,140.089 257.984,141.713 \n",
       "  260.577,143.442 263.092,145.263 265.524,147.163 267.869,149.13 270.125,151.152 272.288,153.218 274.359,155.32 276.336,157.448 278.218,159.595 280.008,161.754 \n",
       "  281.705,163.919 283.31,166.085 284.826,168.246 286.254,170.399 287.597,172.541 288.857,174.668 290.036,176.779 291.137,178.87 292.162,180.941 293.115,182.99 \n",
       "  293.997,185.015 294.813,187.017 295.564,188.993 296.253,190.945 296.882,192.871 297.455,194.771 297.973,196.645 298.439,198.494 298.855,200.316 299.224,202.113 \n",
       "  299.546,203.884 299.825,205.63 300.062,207.351 300.259,209.047 300.416,210.718 300.537,212.365 300.622,213.988 300.671,215.587 300.688,217.163 300.672,218.715 \n",
       "  300.624,220.245 300.545,221.752 300.437,223.236 300.299,224.699 300.132,226.139 299.936,227.558 299.712,228.955 299.461,230.331 299.181,231.686 298.874,233.019 \n",
       "  298.539,234.332 298.177,235.624 297.786,236.895 297.367,238.145 296.92,239.374 296.443,240.582 295.937,241.77 295.401,242.936 294.834,244.08 294.236,245.203 \n",
       "  293.606,246.304 292.943,247.383 292.246,248.439 291.514,249.472 290.746,250.481 289.941,251.466 289.099,252.426 288.216,253.359 287.293,254.266 286.328,255.145 \n",
       "  285.32,255.994 284.267,256.814 283.168,257.601 282.021,258.356 280.824,259.075 279.576,259.757 278.276,260.4 276.921,261.002 275.511,261.56 274.043,262.071 \n",
       "  272.515,262.532 270.927,262.941 269.277,263.293 267.562,263.585 265.783,263.813 263.936,263.971 262.022,264.056 260.039,264.062 257.987,263.984 255.864,263.814 \n",
       "  253.671,263.548 251.407,263.178 249.074,262.697 246.671,262.098 244.201,261.372 241.664,260.511 239.065,259.506 236.405,258.348 233.689,257.029 230.921,255.537 \n",
       "  228.108,253.865 225.257,252.002 222.374,249.939 219.471,247.667 216.556,245.177 213.641,242.462 210.74,239.514 207.868,236.329 205.039,232.901 202.272,229.228 \n",
       "  199.585,225.311 196.999,221.151 194.533,216.754 192.212,212.128 190.056,207.285 188.091,202.241 186.339,197.015 184.825,191.632 183.569,186.118 182.596,180.508 \n",
       "  181.923,174.837 181.57,169.144 181.552,163.474 181.881,157.873 182.565,152.386 183.61,147.063 185.016,141.952 186.779,137.099 188.891,132.55 191.339,128.344 \n",
       "  194.106,124.518 197.171,121.103 200.509,118.124 204.095,115.597 207.896,113.534 211.883,111.938 216.023,110.806 220.283,110.127 224.63,109.886 229.034,110.061 \n",
       "  233.464,110.627 237.892,111.554 242.292,112.81 246.641,114.364 250.918,116.18 255.105,118.225 259.186,120.467 263.149,122.875 266.982,125.418 270.679,128.069 \n",
       "  274.232,130.804 277.638,133.599 280.894,136.435 284,139.295 286.956,142.162 289.764,145.025 292.426,147.871 294.946,150.693 297.328,153.482 299.576,156.233 \n",
       "  301.696,158.942 303.692,161.603 305.57,164.216 307.336,166.778 308.995,169.288 310.553,171.746 312.017,174.152 313.39,176.506 314.679,178.808 315.89,181.059 \n",
       "  317.027,183.261 318.096,185.414 319.101,187.519 320.048,189.578 320.941,191.591 321.784,193.56 322.581,195.487 323.337,197.371 324.055,199.215 324.739,201.02 \n",
       "  325.393,202.785 326.019,204.513 326.622,206.204 327.204,207.859 327.767,209.479 328.315,211.064 328.85,212.616 329.375,214.134 329.892,215.619 330.403,217.073 \n",
       "  330.911,218.494 331.417,219.884 331.923,221.243 332.432,222.572 332.946,223.869 333.465,225.137 333.992,226.374 334.528,227.58 335.076,228.757 335.636,229.903 \n",
       "  336.21,231.019 336.8,232.104 337.407,233.159 338.033,234.182 338.679,235.174 339.347,236.134 340.038,237.062 340.754,237.956 341.496,238.817 342.265,239.644 \n",
       "  343.065,240.435 343.894,241.19 344.757,241.908 345.653,242.587 346.585,243.227 347.554,243.826 348.561,244.383 349.61,244.895 350.7,245.362 351.834,245.782 \n",
       "  353.014,246.151 354.241,246.469 355.518,246.733 356.845,246.94 358.224,247.088 359.658,247.173 361.148,247.193 362.696,247.144 364.303,247.023 365.97,246.825 \n",
       "  367.7,246.548 369.494,246.186 371.352,245.736 373.276,245.191 375.267,244.549 377.326,243.803 379.452,242.947 381.647,241.977 383.909,240.887 386.239,239.67 \n",
       "  388.634,238.32 391.094,236.832 393.617,235.199 396.198,233.416 398.836,231.475 401.526,229.371 404.262,227.099 407.038,224.654 409.847,222.031 412.682,219.226 \n",
       "  415.532,216.237 418.386,213.062 421.234,209.701 424.061,206.155 426.853,202.427 429.594,198.521 432.266,194.446 434.852,190.211 437.33,185.828 439.681,181.314 \n",
       "  441.883,176.686 443.914,171.967 445.751,167.181 447.371,162.356 448.752,157.524 449.873,152.719 450.714,147.976 451.255,143.335 451.482,138.834 451.381,134.514 \n",
       "  450.94,130.415 450.153,126.576 449.016,123.034 447.532,119.823 445.704,116.972 443.543,114.509 441.062,112.452 438.278,110.816 435.213,109.609 431.891,108.833 \n",
       "  428.338,108.483 424.584,108.546 420.66,109.008 416.596,109.845 412.423,111.032 408.173,112.538 403.875,114.333 399.558,116.382 395.248,118.65 390.969,121.105 \n",
       "  386.745,123.713 382.593,126.443 378.531,129.264 374.574,132.151 370.733,135.079 367.019,138.027 363.438,140.975 359.997,143.909 356.698,146.814 353.545,149.681 \n",
       "  350.538,152.502 347.675,155.269 344.957,157.978 342.379,160.626 339.939,163.212 337.633,165.736 335.457,168.196 333.405,170.595 331.473,172.935 329.655,175.216 \n",
       "  327.947,177.442 326.342,179.615 324.835,181.737 323.421,183.812 322.094,185.841 320.849,187.827 319.681,189.774 318.585,191.682 317.556,193.554 316.589,195.393 \n",
       "  315.679,197.199 314.823,198.976 314.016,200.723 313.254,202.444 312.532,204.138 311.849,205.808 311.199,207.454 310.58,209.077 309.988,210.678 309.42,212.257 \n",
       "  308.874,213.816 308.347,215.355 307.836,216.874 307.338,218.374 306.852,219.854 306.375,221.316 305.904,222.76 305.439,224.186 304.976,225.593 304.515,226.983 \n",
       "  304.052,228.355 303.587,229.709 303.118,231.046 302.643,232.365 302.161,233.667 301.669,234.951 301.168,236.218 300.654,237.466 300.127,238.697 299.585,239.91 \n",
       "  299.027,241.105 298.451,242.282 297.857,243.44 297.242,244.58 296.605,245.7 295.945,246.802 295.26,247.883 294.549,248.944 293.811,249.985 293.043,251.005 \n",
       "  292.245,252.002 291.415,252.978 290.552,253.93 289.653,254.858 288.717,255.761 287.743,256.638 286.729,257.488 285.673,258.31 284.573,259.102 283.427,259.862 \n",
       "  282.235,260.59 280.993,261.283 279.701,261.938 278.355,262.555 276.956,263.131 275.499,263.662 273.985,264.146 272.41,264.579 270.774,264.96 269.073,265.282 \n",
       "  267.308,265.543 265.476,265.739 263.575,265.864 261.605,265.913 259.565,265.881 257.453,265.761 255.269,265.549 253.013,265.236 250.684,264.816 248.284,264.281 \n",
       "  245.812,263.622 243.271,262.833 240.662,261.902 237.989,260.823 235.254,259.584 232.462,258.176 229.619,256.589 226.73,254.813 223.802,252.839 220.845,250.655 \n",
       "  217.868,248.253 214.882,245.624 211.901,242.76 208.937,239.654 206.006,236.3 203.126,232.694 200.315,228.834 197.592,224.72 194.98,220.357 192.501,215.749 \n",
       "  190.178,210.908 188.036,205.845 186.098,200.581 184.39,195.135 182.936,189.535 181.76,183.813 180.883,178.002 180.326,172.144 180.107,166.281 180.24,160.459 \n",
       "  180.737,154.728 181.606,149.138 182.85,143.74 184.467,138.583 186.45,133.717 188.791,129.185 191.472,125.03 194.474,121.286 197.773,117.982 201.342,115.142 \n",
       "  205.151,112.779 209.168,110.902 213.359,109.51 217.69,108.595 222.127,108.143 226.636,108.135 231.185,108.544 235.745,109.341 240.286,110.495 244.783,111.969 \n",
       "  249.213,113.73 253.557,115.742 257.797,117.969 261.918,120.378 265.909,122.936 269.761,125.615 273.466,128.387 277.02,131.228 280.42,134.115 283.664,137.03 \n",
       "  286.754,139.955 289.689,142.877 292.473,145.783 295.109,148.664 297.601,151.511 299.954,154.318 302.173,157.08 304.264,159.793 306.231,162.454 308.081,165.061 \n",
       "  309.821,167.614 311.455,170.111 312.989,172.553 314.431,174.94 315.785,177.272 317.056,179.55 318.252,181.776 319.377,183.951 320.435,186.075 321.433,188.151 \n",
       "  322.375,190.179 323.265,192.16 324.109,194.096 324.909,195.989 325.671,197.839 326.398,199.647 327.094,201.415 327.762,203.143 328.406,204.832 329.029,206.484 \n",
       "  329.634,208.099 330.223,209.678 330.8,211.221 331.367,212.729 331.927,214.203 332.482,215.643 333.034,217.05 333.585,218.423 334.138,219.764 334.695,221.072 \n",
       "  335.257,222.348 335.827,223.591 336.406,224.802 336.996,225.981 337.598,227.128 338.215,228.242 338.849,229.323 339.5,230.371 340.17,231.386 340.861,232.368 \n",
       "  341.575,233.315 342.313,234.227 343.076,235.103 343.867,235.944 344.686,236.747 345.536,237.512 346.418,238.238 347.333,238.924 348.283,239.569 349.27,240.17 \n",
       "  350.295,240.728 351.361,241.239 352.468,241.703 353.618,242.117 354.813,242.479 356.054,242.788 357.344,243.04 358.684,243.234 360.075,243.366 361.519,243.434 \n",
       "  363.017,243.435 364.572,243.364 366.183,243.22 367.854,242.997 369.584,242.693 371.376,242.303 373.229,241.822 375.146,241.246 377.125,240.571 379.168,239.791 \n",
       "  381.275,238.902 383.445,237.897 385.678,236.772 387.972,235.521 390.327,234.139 392.739,232.619 395.206,230.957 397.726,229.147 400.293,227.184 402.903,225.062 \n",
       "  405.551,222.778 408.23,220.327 410.931,217.707 413.647,214.914 416.368,211.948 419.082,208.808 421.779,205.494 424.443,202.011 427.061,198.363 429.618,194.555 \n",
       "  432.096,190.597 434.477,186.5 436.743,182.278 438.873,177.946 440.849,173.526 442.648,169.037 444.252,164.506 445.638,159.96 446.789,155.429 447.684,150.946 \n",
       "  448.307,146.544 448.642,142.259 448.677,138.128 448.4,134.186 447.803,130.47 446.884,127.013 445.64,123.848 444.075,121.003 442.196,118.503 440.014,116.369 \n",
       "  437.542,114.618 434.798,113.258 431.803,112.294 428.579,111.726 425.153,111.547 421.55,111.744 417.8,112.301 413.93,113.197 409.968,114.408 405.943,115.906 \n",
       "  401.881,117.662 397.808,119.646 393.747,121.828 389.719,124.176 385.746,126.663 381.843,129.26 378.027,131.941 374.309,134.682 370.701,137.462 367.211,140.263 \n",
       "  363.847,143.067 360.613,145.86 357.512,148.632 354.547,151.371 351.718,154.072 349.024,156.727 346.465,159.332 344.038,161.885 341.741,164.384 339.569,166.828 \n",
       "  337.519,169.217 335.586,171.551 333.767,173.833 332.055,176.063 330.447,178.243 328.938,180.376 327.522,182.463 326.194,184.507 324.951,186.51 323.786,188.473 \n",
       "  322.694,190.4 321.673,192.291 320.716,194.149 319.82,195.976 318.98,197.773 318.193,199.541 317.454,201.282 316.76,202.998 316.108,204.689 315.493,206.357 \n",
       "  314.913,208.001 314.365,209.624 313.845,211.226 313.351,212.807 312.881,214.368 312.432,215.91 312.001,217.433 311.586,218.938 311.186,220.425 310.797,221.893 \n",
       "  310.419,223.345 310.049,224.779 309.686,226.195 309.328,227.596 308.974,228.979 308.621,230.346 308.269,231.697 307.915,233.031 307.56,234.35 307.201,235.652 \n",
       "  306.837,236.939 306.468,238.21 306.091,239.465 305.705,240.704 305.311,241.928 304.905,243.136 304.488,244.329 304.058,245.506 303.614,246.668 303.154,247.813 \n",
       "  302.679,248.944 302.186,250.058 301.674,251.157 301.143,252.24 300.591,253.306 300.016,254.357 299.419,255.391 298.796,256.408 298.148,257.409 297.472,258.392 \n",
       "  296.767,259.358 296.033,260.305 295.266,261.234 294.467,262.144 293.633,263.034 292.762,263.903 291.854,264.751 290.906,265.577 289.916,266.38 288.883,267.159 \n",
       "  287.804,267.912 286.679,268.638 285.504,269.335 284.278,270.002 282.999,270.637 281.665,271.238 280.273,271.802 278.821,272.327 277.307,272.81 275.73,273.249 \n",
       "  274.086,273.638 272.373,273.976 270.59,274.258 268.734,274.48 266.803,274.636 264.796,274.721 262.71,274.73 260.544,274.657 258.297,274.496 255.967,274.238 \n",
       "  253.554,273.876 251.057,273.402 248.477,272.807 245.813,272.082 243.066,271.216 240.239,270.2 237.335,269.022 234.355,267.67 231.305,266.134 228.19,264.4 \n",
       "  225.017,262.455 221.793,260.289 218.528,257.887 215.232,255.237 211.919,252.329 208.603,249.15 205.299,245.692 202.027,241.946 198.805,237.906 195.655,233.568 \n",
       "  192.603,228.931 189.672,223.997 186.891,218.773 184.288,213.268 181.892,207.5 179.734,201.488 177.844,195.26 176.252,188.847 174.987,182.288 174.076,175.626 \n",
       "  173.545,168.912 173.413,162.199 173.701,155.547 174.419,149.016 175.578,142.67 177.177,136.572 179.215,130.784 181.681,125.366 184.559,120.371 187.827,115.849 \n",
       "  191.458,111.84 195.42,108.376 199.677,105.478 204.19,103.159 208.917,101.421 213.817,100.256 218.846,99.6482 223.964,99.5714 229.131,99.994 234.309,100.879 \n",
       "  239.463,102.184 244.563,103.866 249.58,105.878 254.491,108.176 259.275,110.714 263.916,113.452 268.401,116.347 272.718,119.365 276.862,122.472 280.827,125.638 \n",
       "  284.612,128.837 288.215,132.048 291.638,135.25 294.884,138.428 297.956,141.57 300.86,144.664 303.601,147.702 306.186,150.679 308.621,153.589 310.912,156.43 \n",
       "  313.068,159.2 315.095,161.898 317,164.524 318.791,167.078 320.475,169.561 322.059,171.974 323.55,174.32 324.954,176.599 326.277,178.815 327.527,180.967 \n",
       "  328.708,183.06 329.828,185.093 330.89,187.07 331.901,188.992 332.866,190.861 333.789,192.678 334.675,194.445 335.528,196.162 336.353,197.832 337.153,199.456 \n",
       "  337.933,201.034 338.695,202.567 339.444,204.057 340.182,205.503 340.912,206.907 341.639,208.269 342.363,209.59 343.089,210.869 343.818,212.107 344.553,213.304 \n",
       "  345.297,214.46 346.051,215.575 346.818,216.649 347.599,217.681 348.398,218.671 349.215,219.619 350.053,220.524 350.914,221.385 351.798,222.202 352.709,222.974 \n",
       "  353.647,223.699 354.614,224.378 355.613,225.008 356.643,225.588 357.707,226.117 358.807,226.593 359.943,227.015 361.117,227.381 362.33,227.689 363.583,227.936 \n",
       "  364.878,228.122 366.216,228.243 367.597,228.297 369.022,228.281 370.493,228.194 372.009,228.031 373.572,227.79 375.182,227.468 376.838,227.063 378.541,226.569 \n",
       "  380.291,225.985 382.087,225.307 383.928,224.532 385.813,223.655 387.741,222.673 389.71,221.584 391.718,220.384 393.762,219.069 395.839,217.636 397.946,216.083 \n",
       "  400.078,214.408 402.23,212.607 404.398,210.68 406.574,208.625 408.754,206.442 410.928,204.132 413.089,201.695 415.228,199.133 417.336,196.45 419.403,193.649 \n",
       "  421.416,190.737 423.366,187.721 425.239,184.608 427.023,181.41 428.705,178.136 430.273,174.802 431.711,171.42 433.008,168.009 434.149,164.585 435.122,161.169 \n",
       "  435.916,157.78 436.518,154.44 436.918,151.173 437.107,147.999 437.079,144.943 436.826,142.028 436.345,139.274 435.634,136.705 434.693,134.339 433.525,132.193 \n",
       "  432.134,130.285 430.527,128.627 428.712,127.229 426.701,126.098 424.507,125.239 422.143,124.654 419.625,124.338 416.97,124.289 414.197,124.497 411.321,124.953 \n",
       "  408.363,125.643 405.341,126.552 402.272,127.666 399.174,128.966 396.063,130.435 392.956,132.054 389.867,133.805 386.81,135.671 383.797,137.634 380.838,139.678 \n",
       "  377.945,141.787 375.124,143.947 372.383,146.145 369.728,148.369 367.165,150.61 364.696,152.857 362.324,155.103 360.051,157.342 357.879,159.567 355.808,161.774 \n",
       "  353.837,163.959 351.965,166.119 350.192,168.251 348.514,170.355 346.932,172.429 345.441,174.473 344.039,176.485 342.725,178.466 341.493,180.416 340.343,182.336 \n",
       "  339.27,184.226 338.272,186.086 337.345,187.918 336.487,189.722 335.694,191.498 334.963,193.248 334.292,194.973 333.678,196.672 333.118,198.347 332.61,199.998 \n",
       "  332.15,201.625 331.737,203.23 331.369,204.813 331.043,206.374 330.757,207.914 330.51,209.432 330.299,210.93 330.124,212.407 329.981,213.864 329.871,215.301 \n",
       "  329.792,216.717 329.742,218.114 329.72,219.491 329.726,220.848 329.759,222.185 329.817,223.502 329.901,224.8 330.009,226.078 330.141,227.335 330.296,228.573 \n",
       "  330.475,229.79 330.677,230.988 330.902,232.164 331.149,233.321 331.42,234.456 331.713,235.57 332.029,236.663 332.369,237.734 332.732,238.783 333.118,239.811 \n",
       "  333.529,240.815 333.965,241.796 334.426,242.754 334.913,243.689 335.427,244.598 335.968,245.483 336.537,246.342 337.136,247.174 337.764,247.98 338.423,248.758 \n",
       "  339.115,249.507 339.839,250.226 340.598,250.915 341.393,251.572 342.225,252.197 343.095,252.787 344.006,253.342 344.957,253.859 345.952,254.338 346.992,254.776 \n",
       "  348.078,255.173 349.212,255.524 350.396,255.83 351.632,256.086 352.921,256.291 354.267,256.442 355.67,256.535 357.132,256.569 358.656,256.538 360.244,256.44 \n",
       "  361.898,256.271 363.619,256.026 365.409,255.702 367.271,255.293 369.206,254.794 371.215,254.2 373.301,253.505 375.464,252.704 377.705,251.79 380.025,250.756 \n",
       "  382.424,249.596 384.903,248.302 387.461,246.868 390.097,245.285 392.809,243.546 395.595,241.642 398.452,239.568 401.377,237.313 404.363,234.872 407.405,232.237 \n",
       "  410.496,229.401 413.627,226.358 416.789,223.104 419.97,219.634 423.157,215.947 426.335,212.04 429.488,207.916 432.598,203.579 435.646,199.033 438.608,194.289 \n",
       "  441.463,189.36 444.185,184.261 446.749,179.013 449.127,173.64 451.291,168.17 453.214,162.637 454.867,157.077 456.224,151.531 457.258,146.043 457.946,140.661 \n",
       "  458.266,135.434 458.2,130.413 457.734,125.647 456.858,121.188 455.568,117.082 453.863,113.373 451.751,110.1 449.243,107.295 446.355,104.983 443.11,103.182 \n",
       "  439.536,101.901 435.662,101.14 431.524,100.891 427.157,101.137 422.602,101.853 417.895,103.009 413.078,104.569 408.187,106.492 403.258,108.737 398.326,111.258 \n",
       "  393.423,114.012 388.575,116.954 383.809,120.044 379.146,123.242 374.605,126.514 370.199,129.826 365.942,133.153 361.843,136.468 357.908,139.753 354.141,142.991 \n",
       "  350.545,146.169 347.12,149.276 343.865,152.307 340.777,155.255 337.852,158.119 335.087,160.897 332.476,163.589 330.014,166.198 327.694,168.725 325.51,171.174 \n",
       "  323.455,173.547 321.523,175.849 319.706,178.084 317.999,180.255 316.395,182.366 314.886,184.421 313.467,186.424 312.132,188.378 310.873,190.286 309.687,192.151 \n",
       "  308.566,193.976 307.505,195.763 306.5,197.515 305.545,199.234 304.635,200.921 303.766,202.578 302.934,204.207 302.134,205.808 301.363,207.383 300.616,208.933 \n",
       "  299.89,210.458 299.183,211.959 298.489,213.437 297.807,214.892 297.133,216.324 296.465,217.734 295.8,219.121 295.135,220.486 294.468,221.829 293.797,223.15 \n",
       "  293.119,224.448 292.432,225.724 291.734,226.976 291.023,228.205 290.297,229.411 289.554,230.592 288.792,231.749 288.01,232.88 287.206,233.986 286.377,235.065 \n",
       "  285.523,236.116 284.641,237.139 283.73,238.133 282.789,239.097 281.815,240.029 280.808,240.928 279.765,241.794 278.685,242.624 277.567,243.416 276.409,244.17 \n",
       "  275.21,244.883 273.968,245.553 272.682,246.179 271.351,246.757 269.973,247.285 268.548,247.761 267.074,248.182 265.549,248.543 263.975,248.844 262.348,249.078 \n",
       "  260.67,249.243 258.939,249.336 257.155,249.35 255.319,249.283 253.43,249.129 251.489,248.883 249.496,248.54 247.453,248.094 245.362,247.541 243.224,246.874 \n",
       "  241.042,246.087 238.819,245.173 236.558,244.128 234.263,242.944 231.94,241.616 229.593,240.138 227.229,238.503 224.855,236.707 222.479,234.744 220.11,232.61 \n",
       "  217.756,230.301 215.429,227.815 213.14,225.149 210.902,222.304 208.726,219.28 206.627,216.08 204.62,212.707 202.719,209.169 200.94,205.473 199.298,201.631 \n",
       "  197.81,197.656 196.491,193.562 195.357,189.369 194.421,185.097 193.699,180.769 193.203,176.411 192.944,172.048 192.932,167.712 193.174,163.431 193.675,159.237 \n",
       "  194.439,155.161 195.466,151.235 196.753,147.49 198.295,143.953 200.085,140.652 202.111,137.612 204.362,134.853 206.822,132.395 209.474,130.25 212.3,128.429 \n",
       "  215.278,126.938 218.388,125.778 221.61,124.948 224.92,124.441 228.297,124.248 231.721,124.355 235.17,124.748 238.626,125.41 242.07,126.32 245.487,127.46 \n",
       "  248.859,128.808 252.175,130.343 255.422,132.044 258.59,133.891 261.67,135.864 264.655,137.945 267.538,140.115 270.315,142.359 272.983,144.661 275.54,147.009 \n",
       "  277.984,149.389 280.316,151.793 282.535,154.208 284.642,156.629 286.64,159.046 288.53,161.455 290.316,163.85 291.999,166.227 293.584,168.581 295.073,170.911 \n",
       "  296.471,173.213 297.781,175.487 299.006,177.73 300.15,179.941 301.218,182.12 302.212,184.267 303.136,186.381 303.995,188.461 304.791,190.509 305.528,192.525 \n",
       "  306.209,194.508 306.838,196.459 307.416,198.379 307.948,200.268 308.436,202.127 308.882,203.955 309.289,205.755 309.66,207.526 309.997,209.27 310.301,210.986 \n",
       "  310.575,212.675 310.82,214.337 311.039,215.975 311.232,217.587 311.402,219.174 311.55,220.738 311.677,222.278 311.784,223.795 311.873,225.29 311.944,226.763 \n",
       "  311.998,228.214 312.036,229.644 312.059,231.054 312.068,232.443 312.063,233.813 312.045,235.163 312.014,236.495 311.97,237.808 311.915,239.102 311.848,240.379 \n",
       "  311.769,241.638 311.679,242.88 311.578,244.106 311.466,245.315 311.343,246.507 311.208,247.684 311.063,248.845 310.907,249.991 310.739,251.122 310.56,252.238 \n",
       "  310.37,253.34 310.168,254.427 309.953,255.5 309.726,256.559 309.487,257.605 309.234,258.638 308.967,259.657 308.687,260.663 308.391,261.657 308.081,262.637 \n",
       "  307.755,263.605 307.413,264.561 307.053,265.505 306.676,266.436 306.28,267.356 305.865,268.263 305.43,269.158 304.973,270.042 304.495,270.913 303.993,271.773 \n",
       "  303.467,272.62 302.916,273.456 302.339,274.279 301.733,275.09 301.099,275.888 300.434,276.673 299.738,277.446 299.008,278.204 298.243,278.949 297.441,279.68 \n",
       "  296.601,280.395 295.721,281.095 294.799,281.778 293.833,282.444 292.821,283.092 291.761,283.72 290.65,284.328 289.487,284.913 288.268,285.475 286.992,286.012 \n",
       "  285.656,286.521 284.257,287 282.793,287.448 281.26,287.86 279.657,288.235 277.979,288.569 276.225,288.858 274.391,289.097 272.475,289.283 270.473,289.411 \n",
       "  268.382,289.474 266.201,289.467 263.926,289.383 261.554,289.215 259.084,288.955 256.514,288.594 253.841,288.124 251.064,287.532 248.183,286.81 245.197,285.945 \n",
       "  242.107,284.923 238.914,283.733 235.62,282.359 232.227,280.786 228.742,278.998 225.168,276.979 221.515,274.711 217.79,272.178 214.004,269.361 210.171,266.243 \n",
       "  206.306,262.807 202.427,259.037 198.554,254.918 194.711,250.436 190.922,245.582 187.218,240.348 183.629,234.731 180.19,228.732 176.937,222.357 173.908,215.621 \n",
       "  171.146,208.544 168.689,201.155 166.58,193.489 164.86,185.593 163.567,177.522 162.739,169.338 162.407,161.113 162.6,152.925 163.337,144.858 164.634,136.999 \n",
       "  166.495,129.438 168.919,122.263 171.893,115.558 175.397,109.4 179.4,103.86 183.864,98.9929 188.746,94.844 193.994,91.4421 199.553,88.8011 205.367,86.9192 \n",
       "  211.377,85.7799 217.524,85.3533 223.753,85.5976 230.011,86.4616 236.248,87.8867 242.422,89.8096 248.494,92.1648 254.43,94.886 260.204,97.909 265.792,101.173 \n",
       "  271.179,104.619 276.351,108.198 281.299,111.862 286.021,115.57 290.512,119.288 294.776,122.987 298.814,126.642 302.631,130.234 306.235,133.748 309.633,137.172 \n",
       "  312.832,140.499 315.841,143.722 318.671,146.838 321.329,149.846 323.826,152.746 326.171,155.539 328.374,158.226 330.443,160.811 332.388,163.296 334.218,165.685 \n",
       "  335.94,167.982 337.564,170.189 339.096,172.311 340.544,174.351 341.916,176.312 343.218,178.198 344.457,180.011 345.639,181.754 346.769,183.431 347.854,185.042 \n",
       "  348.899,186.591 349.908,188.08 350.886,189.509 351.838,190.881 352.769,192.197 353.68,193.459 354.578,194.666 355.464,195.821 356.343,196.923 357.218,197.974 \n",
       "  358.09,198.973 358.964,199.922 359.841,200.82 360.724,201.667 361.615,202.463 362.517,203.208 363.43,203.901 364.358,204.543 365.301,205.133 366.261,205.669 \n",
       "  367.239,206.153 368.238,206.581 369.256,206.955 370.297,207.273 371.36,207.533 372.447,207.735 373.557,207.878 374.692,207.961 375.851,207.982 377.035,207.94 \n",
       "  378.244,207.833 379.478,207.662 380.736,207.423 382.017,207.116 383.322,206.74 384.649,206.294 385.997,205.775 387.364,205.183 388.75,204.518 390.153,203.777 \n",
       "  391.569,202.961 392.998,202.068 394.437,201.098 395.882,200.052 397.331,198.928 398.78,197.728 400.225,196.452 401.663,195.101 403.089,193.676 404.499,192.179 \n",
       "  405.888,190.613 407.251,188.98 408.581,187.284 409.875,185.528 411.125,183.717 412.326,181.855 413.472,179.949 414.557,178.004 415.573,176.027 416.516,174.026 \n",
       "  417.379,172.009 418.155,169.984 418.84,167.96 419.426,165.946 419.91,163.953 420.286,161.99 420.55,160.068 420.698,158.196 420.727,156.385 420.635,154.646 \n",
       "  420.419,152.988 420.08,151.421 419.616,149.953 419.028,148.593 418.319,147.349 417.49,146.227 416.545,145.232 415.488,144.371 414.324,143.646 413.058,143.061 \n",
       "  411.697,142.615 410.248,142.311 408.717,142.147 407.114,142.121 405.445,142.23 403.719,142.472 401.945,142.84 400.132,143.33 398.287,143.935 396.419,144.65 \n",
       "  394.536,145.468 392.646,146.38 390.757,147.381 388.876,148.461 387.01,149.615 385.165,150.835 383.346,152.112 381.56,153.442 379.81,154.816 378.102,156.229 \n",
       "  376.44,157.675 374.826,159.147 373.264,160.642 371.756,162.154 370.305,163.678 368.911,165.212 367.578,166.751 366.304,168.291 365.092,169.831 363.941,171.367 \n",
       "  362.852,172.897 361.824,174.42 360.858,175.932 359.953,177.433 359.109,178.922 358.324,180.396 357.598,181.855 356.931,183.297 356.321,184.723 355.767,186.13 \n",
       "  355.268,187.519 354.823,188.889 354.431,190.238 354.091,191.567 353.802,192.875 353.564,194.162 353.374,195.426 353.232,196.667 353.138,197.885 353.089,199.079 \n",
       "  353.086,200.249 353.128,201.394 353.214,202.513 353.343,203.606 353.515,204.672 353.729,205.711 353.985,206.721 354.282,207.702 354.621,208.653 355,209.574 \n",
       "  355.419,210.462 355.879,211.319 356.379,212.141 356.92,212.929 357.5,213.681 358.121,214.396 358.782,215.073 359.483,215.71 360.225,216.307 361.008,216.861 \n",
       "  361.831,217.372 362.696,217.837 363.602,218.255 364.549,218.625 365.538,218.944 366.569,219.211 367.643,219.424 368.758,219.58 369.916,219.678 371.117,219.716 \n",
       "  372.36,219.691 373.645,219.6 374.972,219.442 376.342,219.215 377.753,218.914 379.205,218.539 380.697,218.086 382.228,217.554 383.798,216.938 385.404,216.238 \n",
       "  387.046,215.45 388.722,214.571 390.428,213.601 392.164,212.536 393.925,211.374 395.71,210.114 397.513,208.754 399.333,207.293 401.163,205.73 402.999,204.065 \n",
       "  404.835,202.297 406.667,200.427 408.487,198.458 410.289,196.389 412.066,194.225 413.809,191.968 415.511,189.623 417.163,187.195 418.756,184.691 420.28,182.118 \n",
       "  421.726,179.484 423.085,176.798 424.347,174.072 425.501,171.317 426.538,168.546 427.448,165.772 428.223,163.009 428.853,160.274 429.331,157.581 429.65,154.948 \n",
       "  429.804,152.39 429.786,149.924 429.594,147.566 429.224,145.332 428.676,143.237 427.948,141.296 427.044,139.521 425.966,137.923 424.718,136.513 423.307,135.299 \n",
       "  421.74,134.286 420.026,133.48 418.174,132.881 416.196,132.49 414.103,132.304 411.908,132.321 409.623,132.533 407.262,132.934 404.838,133.515 402.365,134.265 \n",
       "  399.856,135.174 397.323,136.23 394.779,137.421 392.236,138.734 389.704,140.157 387.194,141.677 384.715,143.282 382.276,144.96 379.885,146.7 377.548,148.492 \n",
       "  375.271,150.326 373.06,152.193 370.919,154.084 368.852,155.993 366.86,157.913 364.948,159.838 363.115,161.763 361.363,163.683 359.693,165.595 358.105,167.496 \n",
       "  356.598,169.382 355.172,171.252 353.825,173.104 352.557,174.937 351.365,176.748 350.249,178.539 349.207,180.307 348.236,182.052 347.335,183.774 346.501,185.473 \n",
       "  345.733,187.149 345.029,188.802 344.386,190.431 343.803,192.037 343.277,193.621 342.806,195.181 342.39,196.718 342.025,198.232 341.71,199.724 341.444,201.192 \n",
       "  341.224,202.638 341.05,204.062 340.92,205.462 340.833,206.84 340.787,208.194 340.782,209.526 340.816,210.834 340.889,212.119 341,213.379 341.147,214.616 \n",
       "  341.331,215.828 341.551,217.016 341.807,218.178 342.098,219.315 342.423,220.425 342.784,221.509 343.179,222.565 343.609,223.594 344.074,224.594 344.574,225.565 \n",
       "  345.11,226.505 345.681,227.415 346.288,228.292 346.932,229.137 347.613,229.948 348.331,230.724 349.088,231.463 349.884,232.166 350.72,232.829 351.597,233.452 \n",
       "  352.516,234.033 353.477,234.571 354.482,235.064 355.531,235.509 356.627,235.905 357.768,236.251 358.958,236.542 360.197,236.778 361.485,236.955 362.825,237.071 \n",
       "  364.216,237.123 365.661,237.108 367.16,237.023 368.713,236.864 370.323,236.629 371.988,236.312 373.711,235.912 375.49,235.423 377.328,234.841 379.222,234.162 \n",
       "  381.174,233.382 383.182,232.496 385.246,231.5 387.365,230.389 389.536,229.158 391.758,227.803 394.029,226.319 396.344,224.702 398.7,222.947 401.093,221.051 \n",
       "  403.518,219.01 405.968,216.821 408.438,214.482 410.918,211.991 413.402,209.346 415.879,206.549 418.339,203.601 420.77,200.503 423.161,197.26 425.497,193.878 \n",
       "  427.765,190.365 429.95,186.729 432.035,182.982 434.005,179.138 435.842,175.213 437.529,171.224 439.05,167.192 440.385,163.14 441.52,159.093 442.438,155.076 \n",
       "  443.124,151.118 443.565,147.247 443.749,143.494 443.665,139.888 443.307,136.46 442.67,133.239 441.75,130.252 440.55,127.524 439.072,125.079 437.323,122.936 \n",
       "  435.314,121.111 433.056,119.615 430.565,118.457 427.859,117.639 424.956,117.16 421.879,117.015 418.65,117.192 415.293,117.68 411.83,118.46 408.286,119.513 \n",
       "  404.684,120.818 401.047,122.351 397.396,124.087 393.751,126.003 390.131,128.073 386.553,130.273 383.032,132.58 379.582,134.974 376.214,137.433 372.938,139.939 \n",
       "  369.763,142.476 366.694,145.03 363.738,147.587 360.898,150.138 358.176,152.672 355.573,155.182 353.091,157.663 350.729,160.11 348.485,162.519 346.357,164.887 \n",
       "  344.343,167.214 342.441,169.497 340.646,171.738 338.956,173.936 337.366,176.091 335.873,178.205 334.473,180.279 333.161,182.315 331.933,184.312 330.786,186.274 \n",
       "  329.715,188.202 328.716,190.096 327.785,191.959 326.919,193.791 326.113,195.595 325.364,197.371 324.669,199.121 324.025,200.845 323.427,202.545 322.874,204.221 \n",
       "  322.361,205.875 321.887,207.507 321.449,209.117 321.043,210.707 320.669,212.277 320.323,213.827 320.004,215.358 319.71,216.871 319.438,218.365 319.187,219.841 \n",
       "  318.956,221.3 318.742,222.741 318.545,224.164 318.363,225.571 318.195,226.961 318.039,228.335 317.895,229.692 317.762,231.033 317.638,232.357 317.524,233.666 \n",
       "  317.417,234.96 317.317,236.237 317.224,237.499 317.137,238.746 317.055,239.978 316.978,241.194 316.904,242.396 316.835,243.583 316.769,244.755 316.706,245.913 \n",
       "  316.645,247.057 316.586,248.186 316.529,249.302 316.474,250.403 316.42,251.491 316.366,252.565 316.313,253.625 316.26,254.673 316.208,255.707 316.155,256.728 \n",
       "  316.102,257.736 316.048,258.732 315.993,259.715 315.938,260.686 315.881,261.644 315.823,262.591 315.763,263.525 315.702,264.448 315.638,265.359 315.572,266.259 \n",
       "  315.505,267.148 315.434,268.025 315.361,268.891 315.285,269.747 315.205,270.592 315.123,271.427 315.037,272.251 314.947,273.065 314.853,273.869 314.755,274.663 \n",
       "  314.652,275.448 314.545,276.223 314.433,276.989 314.316,277.745 314.193,278.493 314.064,279.231 313.929,279.961 313.787,280.682 313.639,281.395 313.483,282.1 \n",
       "  313.32,282.796 313.149,283.484 312.969,284.165 312.781,284.838 312.583,285.503 312.376,286.161 312.158,286.811 311.929,287.455 311.689,288.091 311.437,288.72 \n",
       "  311.172,289.343 310.893,289.959 310.601,290.569 310.294,291.172 309.971,291.769 309.632,292.359 309.276,292.943 308.901,293.521 308.508,294.094 308.094,294.66 \n",
       "  307.659,295.22 307.202,295.774 306.721,296.322 306.216,296.864 305.684,297.4 305.125,297.929 304.537,298.452 303.919,298.969 303.269,299.479 302.585,299.982 \n",
       "  301.866,300.477 301.11,300.965 300.314,301.444 299.477,301.915 298.597,302.377 297.671,302.828 296.697,303.269 295.672,303.697 294.595,304.113 293.461,304.515 \n",
       "  292.269,304.901 291.016,305.27 289.698,305.62 288.313,305.949 286.856,306.255 285.325,306.535 283.716,306.786 282.026,307.005 280.25,307.188 278.386,307.332 \n",
       "  276.428,307.431 274.374,307.481 272.218,307.476 269.958,307.409 267.589,307.274 265.108,307.063 262.51,306.767 259.793,306.377 256.952,305.881 253.985,305.27 \n",
       "  250.889,304.53 247.662,303.648 244.303,302.608 240.811,301.395 237.187,299.991 233.431,298.377 229.546,296.533 225.538,294.438 221.411,292.068 217.174,289.402 \n",
       "  212.837,286.414 208.413,283.079 203.919,279.372 199.372,275.268 194.796,270.744 190.217,265.776 185.665,260.344 181.174,254.431 176.784,248.025 172.537,241.118 \n",
       "  168.479,233.711 164.662,225.811 161.139,217.437 157.966,208.617 155.2,199.392 152.9,189.815 151.122,179.956 149.919,169.894 149.339,159.725 149.426,149.555 \n",
       "  150.213,139.5 151.722,129.685 153.965,120.237 156.941,111.283 160.633,102.947 165.013,95.3398 170.038,88.5621 175.654,82.6947 181.795,77.7977 188.388,73.9075 \n",
       "  195.354,71.0361 202.611,69.1715 210.076,68.2786 217.669,68.3025 225.313,69.1715 232.94,70.801 240.487,73.0979 247.898,75.9646 255.129,79.3029 262.142,83.0171 \n",
       "  268.908,87.0168 275.406,91.219 281.621,95.549 287.543,99.9416 293.17,104.341 298.501,108.701 303.54,112.983 308.294,117.158 312.772,121.203 316.983,125.101 \n",
       "  320.939,128.842 324.652,132.42 328.133,135.83 331.396,139.072 334.452,142.15 337.314,145.067 339.994,147.827 342.503,150.437 344.853,152.904 347.055,155.233 \n",
       "  349.118,157.433 351.053,159.51 352.869,161.47 354.575,163.321 356.179,165.068 357.689,166.717 359.113,168.274 360.458,169.744 361.73,171.131 362.936,172.441 \n",
       "  364.081,173.676 365.172,174.841 366.212,175.939 367.208,176.973 368.163,177.946 369.081,178.86 369.967,179.718 370.824,180.522 371.656,181.273 372.464,181.974 \n",
       "  373.253,182.625 374.025,183.228 374.782,183.784 375.526,184.295 376.259,184.761 376.984,185.182 377.701,185.561 378.412,185.897 379.118,186.191 379.821,186.444 \n",
       "  380.521,186.655 381.219,186.827 381.915,186.958 382.611,187.05 383.306,187.103 384,187.116 384.694,187.092 385.388,187.029 386.081,186.929 386.774,186.791 \n",
       "  387.465,186.617 388.155,186.407 388.843,186.161 389.527,185.88 390.208,185.565 390.884,185.216 391.555,184.834 392.219,184.42 392.875,183.975 393.522,183.5 \n",
       "  394.159,182.996 394.784,182.465 395.396,181.907 395.993,181.324 396.575,180.718 397.139,180.09 397.684,179.443 398.208,178.777 398.71,178.095 399.188,177.398 \n",
       "  399.64,176.69 400.066,175.972 400.463,175.247 400.829,174.516 401.165,173.783 401.467,173.05 401.735,172.32 401.968,171.595 402.164,170.877 402.323,170.171 \n",
       "  402.443,169.477 402.524,168.8 402.565,168.14 402.566,167.502 402.526,166.888 402.445,166.299 402.324,165.739 402.162,165.209 401.96,164.712 401.717,164.25 \n",
       "  401.436,163.823 401.117,163.435 400.76,163.086 400.367,162.778 399.94,162.511 399.479,162.287 398.986,162.107 398.463,161.97 397.912,161.877 397.335,161.828 \n",
       "  396.734,161.823 396.11,161.862 395.467,161.944 394.805,162.069 394.129,162.235 393.439,162.442 392.738,162.689 392.029,162.974 391.314,163.296 390.594,163.653 \n",
       "  389.873,164.045 389.152,164.469 388.434,164.924 387.721,165.407 387.014,165.918 386.316,166.455 385.628,167.015 384.952,167.596 384.291,168.198 383.644,168.817 \n",
       "  383.015,169.453 382.404,170.104 381.813,170.767 381.243,171.441 380.695,172.125 380.17,172.816 379.669,173.514 379.193,174.216 378.742,174.921 378.318,175.628 \n",
       "  377.921,176.335 377.552,177.04 377.21,177.743 376.897,178.442 376.612,179.136 376.357,179.823 376.131,180.503 375.934,181.174 375.767,181.836 375.63,182.486 \n",
       "  375.522,183.124 375.444,183.749 375.396,184.361 375.377,184.956 375.388,185.536 375.428,186.099 375.498,186.644 375.596,187.17 375.723,187.676 375.879,188.162 \n",
       "  376.063,188.625 376.275,189.067 376.515,189.485 376.782,189.879 377.076,190.247 377.396,190.59 377.743,190.907 378.116,191.195 378.513,191.456 378.936,191.687 \n",
       "  379.383,191.889 379.853,192.06 380.346,192.199 380.862,192.307 381.399,192.382 381.958,192.423 382.536,192.431 383.134,192.404 383.751,192.342 384.385,192.244 \n",
       "  385.035,192.11 385.701,191.94 386.382,191.732 387.075,191.488 387.781,191.206 388.497,190.887 389.223,190.529 389.957,190.135 390.696,189.703 391.441,189.233 \n",
       "  392.188,188.727 392.937,188.184 393.685,187.606 394.43,186.992 395.171,186.343 395.905,185.662 396.631,184.948 397.346,184.204 398.048,183.429 398.734,182.627 \n",
       "  399.403,181.799 400.052,180.947 400.678,180.073 401.28,179.18 401.854,178.269 402.399,177.343 402.913,176.406 403.392,175.46 403.835,174.508 404.239,173.553 \n",
       "  404.603,172.599 404.925,171.65 405.202,170.707 405.433,169.776 405.617,168.86 405.752,167.961 405.837,167.085 405.871,166.233 405.853,165.411 405.783,164.62 \n",
       "  405.66,163.865 405.484,163.149 405.257,162.474 404.977,161.843 404.646,161.26 404.264,160.725 403.833,160.242 403.355,159.811 402.83,159.436 402.261,159.116 \n",
       "  401.65,158.853 400.998,158.648 400.309,158.501 399.585,158.412 398.829,158.38 398.043,158.407 397.231,158.489 396.395,158.628 395.539,158.821 394.665,159.067 \n",
       "  393.777,159.364 392.878,159.711 391.971,160.106 391.058,160.546 390.144,161.03 389.23,161.555 388.32,162.118 387.416,162.718 386.52,163.352 385.637,164.017 \n",
       "  384.767,164.711 383.912,165.431 383.076,166.176 382.26,166.942 381.466,167.728 380.695,168.531 379.95,169.348 379.231,170.178 378.54,171.019 377.878,171.868 \n",
       "  377.246,172.724 376.645,173.585 376.075,174.449 375.539,175.314 375.035,176.179 374.566,177.042 374.13,177.901 373.729,178.755 373.363,179.603 373.031,180.444 \n",
       "  372.735,181.275 372.474,182.096 372.249,182.906 372.058,183.704 371.903,184.487 371.783,185.256 371.699,186.009 371.649,186.745 371.633,187.463 371.652,188.162 \n",
       "  371.706,188.841 371.793,189.5 371.915,190.136 372.069,190.749 372.257,191.339 372.478,191.904 372.731,192.443 373.017,192.955 373.334,193.44 373.683,193.896 \n",
       "  374.063,194.323 374.474,194.719 374.915,195.083 375.385,195.416 375.885,195.715 376.414,195.979 376.971,196.208 377.556,196.402 378.168,196.558 378.806,196.676 \n",
       "  379.47,196.755 380.16,196.794 380.873,196.793 381.61,196.75 382.37,196.664 383.151,196.536 383.952,196.364 384.773,196.147 385.612,195.886 386.468,195.578 \n",
       "  387.339,195.225 388.224,194.825 389.122,194.378 390.03,193.884 390.948,193.344 391.872,192.756 392.801,192.121 393.733,191.44 394.666,190.713 395.596,189.94 \n",
       "  396.523,189.123 397.442,188.263 398.352,187.361 399.25,186.418 400.132,185.435 400.996,184.416 401.839,183.363 402.657,182.276 403.448,181.161 404.208,180.018 \n",
       "  404.933,178.852 405.622,177.666 406.269,176.463 406.873,175.248 407.431,174.025 407.938,172.797 408.393,171.571 408.792,170.349 409.133,169.138 409.413,167.941 \n",
       "  409.631,166.765 409.785,165.613 409.872,164.492 409.892,163.405 409.843,162.358 409.725,161.356 409.537,160.403 409.279,159.503 408.952,158.66 408.557,157.879 \n",
       "  408.094,157.163 407.565,156.514 406.972,155.935 406.317,155.429 405.603,154.998 404.831,154.642 404.007,154.364 403.131,154.162 402.21,154.038 401.245,153.991 \n",
       "  400.241,154.02 399.203,154.124 398.133,154.301 397.038,154.549 395.92,154.867 394.784,155.251 393.634,155.7 392.475,156.209 391.311,156.776 390.145,157.397 \n",
       "  388.982,158.07 387.825,158.791 386.677,159.555 385.543,160.361 384.425,161.204 383.327,162.082 382.25,162.99 381.198,163.925 380.174,164.885 379.178,165.866 \n",
       "  378.214,166.866 377.282,167.881 376.386,168.909 375.525,169.948 374.701,170.994 373.916,172.047 373.169,173.103 372.463,174.16 371.797,175.217 371.172,176.271 \n",
       "  370.589,177.322 370.048,178.368 369.548,179.406 369.09,180.435 368.675,181.455 368.301,182.464 367.969,183.46 367.679,184.443 367.431,185.411 367.224,186.363 \n",
       "  367.057,187.298 366.932,188.215 366.847,189.113 366.802,189.991 366.796,190.848 366.83,191.684 366.903,192.496 367.015,193.285 367.165,194.049 367.353,194.787 \n",
       "  367.579,195.498 367.841,196.182 368.141,196.836 368.477,197.462 368.85,198.056 369.258,198.618 369.702,199.148 370.181,199.644 370.694,200.105 371.243,200.529 \n",
       "  371.825,200.917 372.441,201.266 373.09,201.576 373.773,201.844 374.487,202.071 375.234,202.255 376.011,202.395 376.82,202.489 377.659,202.536 378.527,202.536 \n",
       "  379.424,202.486 380.349,202.386 381.3,202.234 382.278,202.03 383.281,201.773 384.307,201.46 385.355,201.092 386.424,200.667 387.513,200.185 388.619,199.645 \n",
       "  389.741,199.045 390.876,198.387 392.023,197.668 393.18,196.89 394.342,196.052 395.509,195.155 396.677,194.198 397.843,193.182 399.003,192.109 400.155,190.979 \n",
       "  401.295,189.795 402.419,188.557 403.522,187.268 404.602,185.931 405.654,184.548 406.672,183.123 407.654,181.66 408.595,180.162 409.489,178.634 410.333,177.08 \n",
       "  411.121,175.507 411.85,173.919 412.515,172.323 413.112,170.725 413.636,169.132 414.084,167.549 414.452,165.985 414.737,164.447 414.936,162.941 415.046,161.475 \n",
       "  415.066,160.056 414.994,158.691 414.828,157.388 414.568,156.152 414.214,154.99 413.767,153.908 413.227,152.911 412.597,152.004 411.878,151.191 411.074,150.477 \n",
       "  410.187,149.863 409.221,149.352 408.182,148.946 407.072,148.644 405.898,148.449 404.665,148.358 403.378,148.371 402.043,148.485 400.667,148.698 399.254,149.007 \n",
       "  397.812,149.408 396.346,149.898 394.863,150.473 393.368,151.126 391.866,151.855 390.365,152.653 388.868,153.517 387.381,154.44 385.909,155.417 384.456,156.444 \n",
       "  383.026,157.516 381.623,158.628 380.251,159.775 378.913,160.953 377.612,162.157 376.35,163.385 375.13,164.63 373.954,165.892 372.823,167.165 371.738,168.447 \n",
       "  370.702,169.735 369.714,171.027 368.776,172.319 367.889,173.61 367.052,174.898 366.266,176.181 365.531,177.457 364.846,178.724 364.213,179.98 363.63,181.226 \n",
       "  363.097,182.459 362.614,183.677 362.18,184.881 361.795,186.069 361.458,187.24 361.169,188.393 360.926,189.527 360.731,190.641 360.581,191.734 360.476,192.806 \n",
       "  360.416,193.856 360.4,194.883 360.428,195.886 360.499,196.864 360.612,197.817 360.767,198.743 360.964,199.642 361.202,200.513 361.481,201.354 361.8,202.166 \n",
       "  362.159,202.946 362.558,203.695 362.997,204.41 363.474,205.091 363.991,205.737 364.547,206.346 365.141,206.918 365.774,207.451 366.445,207.944 367.154,208.395 \n",
       "  367.901,208.804 368.686,209.168 369.509,209.487 370.369,209.758 371.266,209.981 372.201,210.153 373.171,210.273 374.179,210.34 375.222,210.351 376.3,210.306 \n",
       "  377.413,210.202 378.561,210.037 379.741,209.811 380.955,209.52 382.199,209.164 383.474,208.741 384.778,208.248 386.11,207.686 387.467,207.051 388.849,206.343 \n",
       "  390.252,205.56 391.675,204.701 393.115,203.766 394.569,202.753 396.034,201.662 397.507,200.493 398.984,199.245 400.461,197.919 401.935,196.516 403.399,195.038 \n",
       "  404.85,193.484 406.282,191.858 407.69,190.162 409.069,188.4 410.412,186.574 411.712,184.69 412.965,182.752 414.163,180.766 415.299,178.738 416.367,176.675 \n",
       "  417.361,174.585 418.273,172.476 419.097,170.356 419.826,168.235 420.455,166.123 420.978,164.03 421.389,161.967 421.684,159.945 421.859,157.974 421.909,156.065 \n",
       "  421.832,154.23 421.627,152.478 421.291,150.821 420.825,149.267 420.229,147.826 419.505,146.506 418.654,145.314 417.681,144.257 416.59,143.339 415.386,142.565 \n",
       "  414.074,141.938 412.662,141.459 411.156,141.128 409.565,140.946 407.896,140.909 406.158,141.015 404.361,141.26 402.512,141.639 400.622,142.146 398.699,142.775 \n",
       "  396.752,143.518 394.789,144.368 392.82,145.318 390.851,146.359 388.892,147.484 386.948,148.684 385.026,149.952 383.133,151.281 381.275,152.662 379.455,154.088 \n",
       "  377.68,155.554 375.952,157.052 374.275,158.578 372.653,160.125 371.088,161.688 369.582,163.264 368.137,164.847 366.753,166.435 365.433,168.023 364.176,169.61 \n",
       "  362.984,171.191 361.855,172.766 360.79,174.332 359.789,175.886 358.851,177.429 357.975,178.957 357.161,180.471 356.407,181.968 355.713,183.449 355.077,184.911 \n",
       "  354.499,186.356 353.977,187.78 353.51,189.186 353.098,190.57 352.738,191.934 352.429,193.277 352.172,194.598 351.964,195.896 351.804,197.172 351.692,198.424 \n",
       "  351.626,199.653 351.606,200.857 351.631,202.037 351.7,203.191 351.812,204.32 351.968,205.422 352.165,206.497 352.404,207.544 352.684,208.562 353.005,209.551 \n",
       "  353.367,210.51 353.769,211.438 354.212,212.335 354.694,213.198 355.217,214.028 355.779,214.823 356.382,215.581 357.025,216.303 357.708,216.986 358.431,217.63 \n",
       "  359.196,218.232 360.001,218.792 360.848,219.308 361.736,219.778 362.666,220.201 363.638,220.575 364.652,220.898 365.71,221.168 366.81,221.383 367.954,221.541 \n",
       "  369.142,221.639 370.373,221.677 371.648,221.65 372.966,221.558 374.329,221.396 375.735,221.163 377.184,220.857 378.677,220.473 380.211,220.01 381.787,219.465 \n",
       "  383.403,218.835 385.058,218.118 386.751,217.31 388.48,216.409 390.242,215.412 392.036,214.317 393.858,213.122 395.706,211.825 397.575,210.423 399.463,208.916 \n",
       "  401.363,207.301 403.271,205.58 405.183,203.75 407.09,201.813 408.988,199.77 410.869,197.622 412.726,195.372 414.55,193.024 416.332,190.581 418.065,188.049 \n",
       "  419.737,185.435 421.339,182.746 422.861,179.99 424.293,177.178 425.624,174.321 426.843,171.431 427.94,168.522 428.904,165.607 429.727,162.703 430.398,159.825 \n",
       "  430.908,156.991 431.251,154.219 431.418,151.525 431.405,148.928 431.207,146.445 430.821,144.094 430.246,141.891 429.481,139.85 428.528,137.987 427.39,136.313 \n",
       "  426.073,134.84 424.583,133.575 422.929,132.525 421.118,131.695 419.163,131.086 417.075,130.698 414.867,130.529 412.552,130.574 410.144,130.826 407.657,131.277 \n",
       "  405.107,131.918 402.506,132.736 399.87,133.72 397.212,134.856 394.545,136.132 391.881,137.534 389.232,139.047 386.609,140.659 384.022,142.356 381.479,144.126 \n",
       "  378.989,145.956 376.559,147.837 374.194,149.757 371.9,151.707 369.681,153.679 367.54,155.666 365.481,157.659 363.505,159.654 361.614,161.646 359.808,163.63 \n",
       "  358.087,165.602 356.452,167.559 354.902,169.5 353.436,171.421 352.053,173.321 350.75,175.2 349.527,177.055 348.381,178.887 347.311,180.694 346.314,182.478 \n",
       "  345.388,184.237 344.531,185.971 343.741,187.681 343.015,189.367 342.351,191.029 341.746,192.667 341.2,194.282 340.709,195.873 340.271,197.441 339.885,198.986 \n",
       "  339.549,200.508 339.261,202.007 339.018,203.484 338.821,204.939 338.666,206.371 338.553,207.78 338.481,209.168 338.448,210.532 338.453,211.874 338.495,213.194 \n",
       "  338.574,214.49 338.688,215.764 338.837,217.014 339.02,218.24 339.237,219.442 339.487,220.621 339.771,221.774 340.087,222.902 340.436,224.005 340.818,225.082 \n",
       "  341.233,226.131 341.68,227.154 342.161,228.149 342.676,229.115 343.224,230.052 343.806,230.958 344.424,231.834 345.076,232.677 345.765,233.488 346.491,234.264 \n",
       "  347.254,235.005 348.056,235.71 348.897,236.376 349.779,237.004 350.702,237.59 351.667,238.135 352.676,238.635 353.73,239.089 354.83,239.495 355.977,239.851 \n",
       "  357.172,240.154 358.417,240.403 359.713,240.594 361.061,240.725 362.463,240.793 363.919,240.795 365.431,240.727 367,240.587 368.627,240.37 370.313,240.074 \n",
       "  372.059,239.692 373.865,239.223 375.732,238.661 377.66,238.001 379.649,237.239 381.7,236.371 383.811,235.39 385.981,234.293 388.211,233.073 390.496,231.726 \n",
       "  392.837,230.247 395.229,228.63 397.669,226.871 400.153,224.964 402.677,222.906 405.234,220.692 407.819,218.319 410.423,215.785 413.038,213.086 415.656,210.223 \n",
       "  418.264,207.196 420.853,204.005 423.408,200.655 425.916,197.149 428.363,193.495 430.732,189.7 433.007,185.777 435.17,181.737 437.202,177.597 439.085,173.375 \n",
       "  440.8,169.092 442.327,164.772 443.648,160.439 444.744,156.123 445.599,151.854 446.196,147.662 446.521,143.581 446.562,139.645 446.309,135.886 445.755,132.339 \n",
       "  444.896,129.033 443.732,126 442.265,123.266 440.501,120.854 438.45,118.783 436.124,117.069 433.54,115.722 430.716,114.746 427.674,114.141 424.436,113.902 \n",
       "  421.027,114.019 417.474,114.477 413.801,115.258 410.037,116.34 406.206,117.699 402.333,119.309 398.444,121.142 394.559,123.17 390.7,125.366 386.886,127.702 \n",
       "  383.134,130.152 379.458,132.692 375.871,135.3 372.384,137.955 369.006,140.638 365.744,143.334 362.603,146.029 359.588,148.71 356.7,151.368 353.941,153.996 \n",
       "  351.311,156.586 348.81,159.134 346.435,161.637 344.184,164.093 342.055,166.499 340.043,168.855 338.146,171.163 336.359,173.421 334.678,175.632 333.099,177.796 \n",
       "  331.616,179.916 330.226,181.993 328.924,184.028 327.704,186.024 326.563,187.983 325.497,189.906 324.5,191.796 323.569,193.653 322.699,195.479 321.887,197.277 \n",
       "  321.128,199.046 320.42,200.789 319.758,202.507 319.139,204.2 318.56,205.87 318.018,207.518 317.51,209.144 317.034,210.749 316.585,212.334 316.163,213.899 \n",
       "  315.765,215.444 315.388,216.972 315.031,218.48 314.691,219.971 314.367,221.444 314.057,222.9 313.758,224.339 313.47,225.761 313.192,227.166 312.921,228.555 \n",
       "  312.656,229.928 312.396,231.285 312.14,232.626 311.887,233.951 311.635,235.261 311.384,236.556 311.132,237.835 310.879,239.1 310.623,240.349 310.364,241.584 \n",
       "  310.101,242.804 309.832,244.01 309.558,245.201 309.276,246.378 308.988,247.54 308.69,248.689 308.384,249.824 308.067,250.945 307.739,252.052 307.4,253.145 \n",
       "  307.047,254.225 306.682,255.291 306.302,256.344 305.907,257.383 305.495,258.409 305.066,259.422 304.62,260.421 304.154,261.407 303.668,262.38 303.161,263.339 \n",
       "  302.631,264.284 302.078,265.216 301.501,266.134 300.897,267.038 300.266,267.928 299.607,268.803 298.918,269.663 298.197,270.509 297.443,271.338 296.655,272.152 \n",
       "  295.83,272.948 294.968,273.728 294.066,274.489 293.122,275.232 292.136,275.954 291.103,276.656 290.024,277.335 288.894,277.991 287.713,278.622 286.478,279.226 \n",
       "  285.187,279.801 283.836,280.346 282.425,280.858 280.95,281.335 279.408,281.773 277.798,282.17 276.116,282.522 274.361,282.825 272.528,283.075 270.617,283.268 \n",
       "  268.623,283.398 266.546,283.461 264.382,283.449 262.129,283.356 259.785,283.176 257.349,282.9 254.819,282.52 252.194,282.027 249.473,281.411 246.656,280.661 \n",
       "  243.743,279.767 240.736,278.716 237.637,277.496 234.448,276.093 231.173,274.493 227.817,272.682 224.388,270.645 220.892,268.366 217.339,265.83 213.741,263.022 \n",
       "  210.111,259.927 206.464,256.529 202.818,252.817 199.193,248.778 195.612,244.403 192.099,239.685 188.681,234.619 185.389,229.207 182.253,223.451 179.308,217.363 \n",
       "  176.588,210.958 174.13,204.258 171.97,197.292 170.145,190.097 168.691,182.718 167.64,175.206 167.025,167.619 166.871,160.024 167.2,152.491 168.03,145.095 \n",
       "  169.371,137.914 171.224,131.025 173.585,124.504 176.442,118.425 179.775,112.854 183.555,107.848 187.748,103.455 192.314,99.713 197.207,96.6444 202.38,94.2603 \n",
       "  207.782,92.5582 213.36,91.5236 219.064,91.1302 224.845,91.342 230.655,92.115 236.452,93.399 242.195,95.1395 247.851,97.28 253.389,99.7633 258.784,102.533 \n",
       "  264.016,105.537 269.067,108.723 273.926,112.046 278.584,115.464 283.036,118.941 287.279,122.444 291.314,125.946 295.141,129.425 298.765,132.862 302.191,136.241 \n",
       "  305.426,139.551 308.475,142.783 311.347,145.931 314.05,148.99 316.591,151.959 318.981,154.834 321.226,157.618 323.336,160.31 325.32,162.912 327.184,165.427 \n",
       "  328.938,167.855 330.59,170.201 332.147,172.467 333.615,174.656 335.004,176.77 336.318,178.812 337.565,180.785 338.751,182.692 339.882,184.534 340.963,186.313 \n",
       "  342,188.033 342.998,189.695 343.961,191.3 344.895,192.85 345.803,194.346 346.69,195.79 347.56,197.183 348.416,198.525 349.262,199.817 350.101,201.061 \n",
       "  350.936,202.255 351.771,203.402 352.607,204.501 353.449,205.552 354.297,206.555 355.154,207.51 356.024,208.417 356.907,209.275 357.806,210.085 358.723,210.845 \n",
       "  359.66,211.555 360.617,212.214 361.598,212.821 362.602,213.376 363.632,213.876 364.689,214.322 365.774,214.712 366.889,215.044 368.033,215.317 369.208,215.53 \n",
       "  370.415,215.681 371.654,215.768 372.927,215.789 374.232,215.743 375.571,215.628 376.943,215.442 378.348,215.182 379.787,214.847 381.258,214.435 382.761,213.943 \n",
       "  384.294,213.37 385.858,212.713 387.45,211.971 389.069,211.142 390.712,210.224 392.377,209.215 394.063,208.114 395.764,206.919 397.479,205.63 399.204,204.247 \n",
       "  400.934,202.768 402.664,201.194 404.39,199.526 406.106,197.764 407.807,195.911 409.486,193.968 411.136,191.939 412.75,189.827 414.321,187.637 415.841,185.374 \n",
       "  417.301,183.045 418.694,180.656 420.011,178.216 421.243,175.733 422.382,173.219 423.419,170.682 424.345,168.135 425.152,165.591 425.833,163.062 426.38,160.563 \n",
       "  426.786,158.106 427.045,155.707 427.152,153.381 427.104,151.141 426.896,149.001 426.527,146.977 425.995,145.08 425.302,143.322 424.449,141.716 423.439,140.27 \n",
       "  422.276,138.994 420.966,137.894 419.515,136.976 417.931,136.242 416.223,135.695 414.401,135.335 412.474,135.161 410.454,135.168 408.353,135.352 406.181,135.707 \n",
       "  403.952,136.225 401.675,136.899 399.364,137.718 397.03,138.672 394.683,139.751 392.334,140.945 389.994,142.242 387.67,143.631 385.373,145.103 383.11,146.646 \n",
       "  380.888,148.25 378.713,149.907 376.592,151.607 374.529,153.343 372.528,155.106 370.593,156.89 368.727,158.689 366.932,160.498 365.211,162.31 363.563,164.123 \n",
       "  361.991,165.932 360.494,167.733 359.072,169.525 357.726,171.305 356.454,173.07 355.256,174.819 354.13,176.551 353.076,178.265 352.092,179.959 351.176,181.633 \n",
       "  350.327,183.286 349.543,184.919 348.823,186.529 348.164,188.118 347.565,189.685 347.025,191.23 346.541,192.753 346.112,194.253 345.737,195.731 345.413,197.187 \n",
       "  345.139,198.619 344.915,200.029 344.737,201.415 344.606,202.779 344.52,204.119 344.477,205.436 344.477,206.728 344.52,207.997 344.603,209.24 344.727,210.46 \n",
       "  344.89,211.653 345.092,212.821 345.333,213.963 345.611,215.078 345.928,216.166 346.282,217.226 346.674,218.257 347.103,219.258 347.569,220.23 348.073,221.171 \n",
       "  348.614,222.08 349.193,222.956 349.81,223.799 350.466,224.606 351.16,225.378 351.894,226.113 352.668,226.809 353.482,227.465 354.337,228.08 355.234,228.652 \n",
       "  356.174,229.18 357.157,229.661 358.184,230.094 359.255,230.478 360.373,230.809 361.536,231.085 362.747,231.306 364.007,231.467 365.314,231.566 366.672,231.601 \n",
       "  368.079,231.568 369.538,231.466 371.047,231.29 372.608,231.038 374.221,230.706 375.887,230.29 377.604,229.788 379.373,229.194 381.194,228.507 383.065,227.721 \n",
       "  384.985,226.833 386.954,225.838 388.97,224.734 391.03,223.516 393.132,222.18 395.273,220.723 397.45,219.141 399.657,217.432 401.892,215.592 404.148,213.619 \n",
       "  406.419,211.512 408.698,209.269 410.978,206.89 413.251,204.376 415.507,201.727 417.737,198.946 419.93,196.037 422.074,193.005 424.157,189.857 426.167,186.601 \n",
       "  428.089,183.247 429.91,179.805 431.616,176.291 433.191,172.718 434.621,169.105 435.892,165.469 436.989,161.831 437.898,158.214 438.607,154.64 439.104,151.134 \n",
       "  439.378,147.721 439.421,144.425 439.224,141.273 438.784,138.289 438.097,135.497 437.163,132.919 435.983,130.575 434.561,128.483 432.905,126.659 431.024,125.115 \n",
       "  428.929,123.859 426.634,122.896 424.154,122.23 421.506,121.856 418.708,121.771 415.78,121.965 412.741,122.428 409.612,123.144 406.412,124.099 403.162,125.273 \n",
       "  399.88,126.648 396.585,128.204 393.294,129.92 390.023,131.777 386.786,133.754 383.598,135.832 380.47,137.993 377.412,140.22 374.433,142.497 371.541,144.811 \n",
       "  368.742,147.149 366.041,149.499 363.442,151.851 360.947,154.198 358.558,156.533 356.276,158.849 354.101,161.141 352.033,163.407 350.07,165.643 348.211,167.846 \n",
       "  346.453,170.017 344.795,172.153 343.232,174.255 341.763,176.321 340.384,178.354 339.092,180.352 337.884,182.317 336.755,184.25 335.704,186.151 334.725,188.022 \n",
       "  333.816,189.862 332.974,191.675 332.195,193.459 331.477,195.217 330.815,196.949 330.207,198.656 329.651,200.338 329.143,201.997 328.681,203.633 328.262,205.247 \n",
       "  327.884,206.839 327.545,208.41 327.243,209.96 326.976,211.49 326.742,212.999 326.538,214.489 326.365,215.96 326.219,217.411 326.1,218.843 326.007,220.256 \n",
       "  325.938,221.651 325.892,223.027 325.868,224.385 325.866,225.724 325.884,227.045 325.922,228.348 325.98,229.632 326.056,230.898 326.151,232.146 326.263,233.376 \n",
       "  326.393,234.587 326.541,235.78 326.705,236.955 326.887,238.111 327.086,239.249 327.303,240.368 327.536,241.469 327.787,242.551 328.055,243.614 328.342,244.657 \n",
       "  328.646,245.682 328.969,246.687 329.312,247.673 329.673,248.638 330.055,249.584 330.457,250.509 330.881,251.413 331.326,252.296 331.795,253.158 332.287,253.998 \n",
       "  332.803,254.815 333.345,255.61 333.914,256.381 334.509,257.128 335.134,257.85 335.788,258.547 336.473,259.218 337.191,259.861 337.942,260.477 338.729,261.063 \n",
       "  339.552,261.619 340.413,262.143 341.314,262.635 342.257,263.092 343.244,263.513 344.275,263.897 345.354,264.241 346.482,264.544 347.661,264.803 348.893,265.016 \n",
       "  350.181,265.181 351.527,265.294 352.933,265.353 354.402,265.354 355.935,265.294 357.535,265.169 359.205,264.975 360.947,264.708 362.763,264.363 364.656,263.935 \n",
       "  366.628,263.419 368.681,262.808 370.817,262.098 373.039,261.281 375.347,260.35 377.743,259.299 380.23,258.119 382.806,256.803 385.473,255.341 388.23,253.726 \n",
       "  391.077,251.949 394.012,249.999 397.033,247.868 400.136,245.546 403.318,243.024 406.574,240.292 409.896,237.342 413.276,234.164 416.706,230.752 420.173,227.099 \n",
       "  423.665,223.199 427.166,219.05 430.659,214.649 434.125,209.997 437.543,205.098 440.888,199.961 444.135,194.594 447.256,189.014 450.221,183.24 452.998,177.298 \n",
       "  455.556,171.216 457.86,165.032 459.876,158.784 461.572,152.52 462.914,146.291 463.873,140.151 464.42,134.159 464.531,128.377 464.187,122.867 463.372,117.689 \n",
       "  462.079,112.904 460.305,108.567 458.056,104.729 455.342,101.43 452.183,98.7068 448.604,96.5814 444.637,95.0672 440.319,94.1659 435.691,93.8682 430.796,94.1537 \n",
       "  425.683,94.9925 420.397,96.346 414.986,98.169 409.497,100.411 403.971,103.017 398.451,105.933 392.972,109.102 387.568,112.471 382.267,115.989 377.095,119.609 \n",
       "  372.07,123.289 367.211,126.99 362.528,130.68 358.031,134.333 353.727,137.925 349.618,141.439 345.706,144.862 341.989,148.185 338.465,151.4 335.13,154.505 \n",
       "  331.978,157.498 329.004,160.38 326.2,163.153 323.559,165.822 321.074,168.389 318.737,170.86 316.539,173.241 314.474,175.535 312.532,177.75 310.707,179.889 \n",
       "  308.99,181.959 307.374,183.964 305.852,185.908 304.417,187.797 303.061,189.633 301.779,191.421 300.563,193.163 299.409,194.863 298.31,196.523 297.261,198.146 \n",
       "  296.257,199.734 295.292,201.287 294.362,202.809 293.463,204.3 292.589,205.761 291.738,207.194 290.905,208.598 290.086,209.974 289.279,211.324 288.479,212.646 \n",
       "  287.684,213.942 286.891,215.21 286.097,216.452 285.299,217.667 284.494,218.854 283.681,220.013 282.857,221.144 282.02,222.245 281.167,223.317 280.296,224.359 \n",
       "  279.407,225.369 278.496,226.347 277.563,227.291 276.605,228.201 275.621,229.075 274.609,229.913 273.568,230.711 272.497,231.47 271.394,232.188 270.258,232.861 \n",
       "  269.088,233.49 267.883,234.071 266.642,234.603 265.364,235.084 264.049,235.51 262.695,235.88 261.303,236.191 259.872,236.439 258.401,236.623 256.892,236.738 \n",
       "  255.343,236.783 253.756,236.752 252.131,236.644 250.469,236.454 248.771,236.178 247.038,235.813 245.272,235.355 243.475,234.799 241.65,234.143 239.799,233.381 \n",
       "  237.925,232.511 236.033,231.528 234.126,230.428 232.209,229.209 230.287,227.867 228.366,226.398 226.451,224.802 224.551,223.075 222.671,221.216 220.819,219.225 \n",
       "  219.005,217.102 217.236,214.848 215.523,212.464 213.874,209.955 212.3,207.323 210.811,204.575 209.417,201.718 208.129,198.759 206.958,195.709 205.914,192.578 \n",
       "  205.007,189.38 204.247,186.129 203.643,182.839 203.202,179.529 202.934,176.215 202.843,172.918 202.936,169.655 203.215,166.448 203.683,163.318 204.342,160.283 \n",
       "  205.19,157.365 206.225,154.583 207.443,151.955 208.838,149.498 210.402,147.227 212.128,145.156 214.006,143.297 216.023,141.659 218.168,140.248 220.427,139.07 \n",
       "  222.787,138.126 225.234,137.416 227.754,136.939 230.331,136.688 232.952,136.659 235.602,136.842 238.269,137.227 240.939,137.805 243.6,138.564 246.242,139.49 \n",
       "  248.853,140.571 251.424,141.794 253.947,143.145 256.414,144.612 258.818,146.182 261.155,147.843 263.418,149.582 265.605,151.39 267.712,153.255 269.737,155.169 \n",
       "  271.677,157.122 273.533,159.106 275.302,161.115 276.986,163.14 278.585,165.178 280.099,167.222 281.53,169.267 282.878,171.31 284.147,173.347 285.336,175.375 \n",
       "  286.449,177.391 287.488,179.393 288.454,181.379 289.35,183.347 290.178,185.296 290.94,187.226 291.639,189.134 292.278,191.02 292.857,192.883 293.379,194.724 \n",
       "  293.847,196.542 294.263,198.336 294.627,200.106 294.943,201.852 295.211,203.574 295.434,205.273 295.614,206.947 295.75,208.598 295.846,210.225 295.902,211.829 \n",
       "  295.919,213.408 295.899,214.965 295.841,216.498 295.748,218.007 295.62,219.494 295.457,220.957 295.26,222.397 295.029,223.815 294.766,225.209 294.469,226.581 \n",
       "  294.14,227.929 293.778,229.255 293.383,230.557 292.955,231.836 292.495,233.092 292.001,234.324 291.473,235.532 290.912,236.716 290.316,237.876 289.685,239.011 \n",
       "  289.019,240.12 288.316,241.203 287.576,242.26 286.798,243.29 285.982,244.291 285.125,245.264 284.228,246.207 283.289,247.118 282.307,247.998 281.281,248.844 \n",
       "  280.21,249.656 279.093,250.43 277.928,251.167 276.714,251.863 275.45,252.517 274.134,253.127 272.766,253.69 271.343,254.203 269.866,254.663 268.332,255.068 \n",
       "  266.741,255.414 265.092,255.697 263.383,255.913 261.614,256.059 259.785,256.129 257.894,256.119 255.942,256.024 253.928,255.839 251.854,255.557 249.719,255.172 \n",
       "  247.525,254.679 245.272,254.071 242.964,253.34 240.602,252.48 238.189,251.483 235.729,250.341 233.227,249.048 230.687,247.595 228.116,245.975 225.52,244.181 \n",
       "  222.907,242.205 220.285,240.041 217.666,237.683 215.059,235.126 212.477,232.365 209.933,229.397 207.441,226.221 205.016,222.837 202.675,219.247 200.435,215.455 \n",
       "  198.314,211.467 196.33,207.294 194.502,202.947 192.85,198.442 191.393,193.796 190.149,189.033 189.136,184.176 188.372,179.254 187.871,174.297 187.648,169.339 \n",
       "  187.713,164.415 188.075,159.564 188.741,154.822 189.713,150.23 190.991,145.825 192.57,141.643 194.444,137.721 196.602,134.09 199.029,130.778 201.708,127.81 \n",
       "  204.62,125.206 207.743,122.98 211.053,121.141 214.525,119.692 218.132,118.633 221.848,117.956 225.647,117.65 229.503,117.701 233.392,118.088 237.289,118.791 \n",
       "  241.173,119.785 245.024,121.045 248.824,122.545 252.556,124.258 256.207,126.159 259.763,128.222 263.216,130.422 266.557,132.737 269.779,135.145 272.879,137.628 \n",
       "  275.851,140.167 278.695,142.746 281.41,145.352 283.996,147.971 286.453,150.595 288.785,153.212 290.993,155.816 293.081,158.4 295.052,160.959 296.91,163.489 \n",
       "  298.659,165.985 300.304,168.446 301.849,170.87 303.298,173.255 304.657,175.599 305.93,177.903 307.122,180.167 308.236,182.389 309.278,184.572 310.251,186.714 \n",
       "  311.161,188.817 312.01,190.88 312.803,192.906 313.544,194.894 314.237,196.846 314.884,198.762 315.489,200.643 316.056,202.49 316.587,204.303 317.084,206.084 \n",
       "  317.552,207.833 317.992,209.551 318.407,211.239 318.8,212.898 319.171,214.527 319.524,216.129 319.861,217.702 320.182,219.249 320.491,220.769 320.788,222.264 \n",
       "  321.075,223.733 321.354,225.177 321.626,226.597 321.892,227.992 322.154,229.364 322.412,230.713 322.669,232.039 322.925,233.343 323.18,234.624 323.437,235.884 \n",
       "  323.696,237.122 323.958,238.338 324.224,239.534 324.494,240.708 324.771,241.862 325.054,242.995 325.344,244.108 325.642,245.2 325.95,246.273 326.268,247.325 \n",
       "  326.596,248.357 326.936,249.368 327.288,250.36 327.654,251.331 328.034,252.282 328.429,253.213 328.84,254.123 329.268,255.013 329.713,255.881 330.178,256.728 \n",
       "  330.663,257.554 331.169,258.359 331.697,259.141 332.249,259.9 332.825,260.636 333.427,261.349 334.055,262.037 334.713,262.701 335.4,263.339 336.118,263.95 \n",
       "  336.869,264.534 337.654,265.09 338.475,265.616 339.334,266.112 340.232,266.576 341.172,267.006 342.155,267.402 343.182,267.761 344.257,268.082 345.382,268.362 \n",
       "  346.557,268.6 347.787,268.793 349.072,268.938 350.416,269.034 351.82,269.076 353.288,269.062 354.821,268.988 356.423,268.85 358.096,268.644 359.843,268.367 \n",
       "  361.665,268.012 363.566,267.575 365.549,267.051 367.615,266.434 369.767,265.717 372.007,264.894 374.338,263.957 376.76,262.899 379.275,261.713 381.886,260.39 \n",
       "  384.591,258.92 387.392,257.296 390.288,255.506 393.277,253.542 396.359,251.393 399.531,249.049 402.787,246.501 406.124,243.736 409.536,240.747 413.014,237.522 \n",
       "  416.549,234.054 420.13,230.335 423.743,226.358 427.375,222.119 431.006,217.614 434.618,212.843 438.189,207.809 441.694,202.518 445.106,196.979 448.397,191.208 \n",
       "  451.534,185.224 454.484,179.05 457.214,172.718 459.686,166.264 461.865,159.729 463.715,153.163 465.199,146.618 466.286,140.153 466.943,133.831 467.143,127.717 \n",
       "  466.865,121.879 466.091,116.383 464.811,111.295 463.021,106.675 460.725,102.579 457.935,99.0549 454.67,96.1399 450.957,93.8614 446.83,92.2346 442.327,91.2621 \n",
       "  437.494,90.9345 432.377,91.23 427.027,92.1162 421.495,93.5512 415.832,95.4851 410.086,97.8626 404.306,100.625 398.534,103.71 392.81,107.059 387.169,110.612 \n",
       "  381.641,114.315 376.251,118.115 371.022,121.968 365.97,125.834 361.107,129.677 356.443,133.469 351.984,137.188 347.732,140.814 343.687,144.335 339.848,147.742 \n",
       "  336.212,151.028 332.774,154.19 329.527,157.229 326.466,160.145 323.582,162.943 320.867,165.625 318.314,168.199 315.914,170.668 313.658,173.04 311.538,175.32 \n",
       "  309.546,177.514 307.672,179.628 305.91,181.667 304.251,183.638 302.688,185.545 301.214,187.393 299.82,189.186 298.501,190.928 297.25,192.622 296.061,194.272 \n",
       "  294.927,195.88 293.844,197.449 292.806,198.98 291.807,200.477 290.843,201.939 289.909,203.369 289.002,204.768 288.116,206.137 287.248,207.475 286.393,208.785 \n",
       "  285.55,210.065 284.714,211.317 283.882,212.54 283.051,213.735 282.219,214.9 281.382,216.036 280.538,217.142 279.685,218.218 278.821,219.263 277.943,220.277 \n",
       "  277.05,221.258 276.138,222.206 275.208,223.119 274.256,223.997 273.282,224.838 272.284,225.641 271.26,226.405 270.209,227.128 269.13,227.809 268.022,228.445 \n",
       "  266.884,229.036 265.714,229.579 264.513,230.072 263.279,230.513 262.011,230.9 260.711,231.231 259.376,231.502 258.007,231.712 256.604,231.858 255.168,231.937 \n",
       "  253.698,231.946 252.195,231.882 250.661,231.743 249.095,231.524 247.5,231.223 245.877,230.836 244.228,230.361 242.556,229.794 240.861,229.131 239.149,228.37 \n",
       "  237.421,227.508 235.682,226.541 233.935,225.467 232.186,224.284 230.438,222.989 228.698,221.58 226.971,220.057 225.263,218.418 223.581,216.662 221.932,214.791 \n",
       "  220.324,212.806 218.764,210.707 217.26,208.498 215.821,206.183 214.456,203.766 213.173,201.254 211.982,198.653 210.89,195.97 209.908,193.216 209.042,190.402 \n",
       "  208.302,187.537 207.695,184.636 207.229,181.711 206.909,178.779 206.742,175.853 206.732,172.95 206.882,170.087 207.196,167.281 207.674,164.548 208.318,161.906 \n",
       "  209.124,159.37 210.092,156.957 211.217,154.681 212.493,152.555 213.915,150.593 215.475,148.805 217.164,147.201 218.973,145.787 220.892,144.569 222.909,143.551 \n",
       "  225.013,142.735 227.192,142.121 229.434,141.706 231.727,141.487 234.06,141.46 236.419,141.618 238.795,141.953 241.175,142.456 243.551,143.119 245.911,143.931 \n",
       "  248.247,144.882 250.551,145.96 252.816,147.157 255.034,148.459 257.199,149.858 259.307,151.343 261.352,152.904 263.331,154.531 265.242,156.216 267.08,157.951 \n",
       "  268.845,159.727 270.535,161.537 272.149,163.376 273.687,165.236 275.148,167.112 276.533,169 277.843,170.895 279.077,172.792 280.238,174.689 281.327,176.583 \n",
       "  282.344,178.469 283.292,180.347 284.172,182.213 284.986,184.066 285.735,185.905 286.422,187.728 287.048,189.533 287.615,191.32 288.124,193.089 288.578,194.837 \n",
       "  288.978,196.565 289.326,198.272 289.623,199.957 289.87,201.62 290.07,203.262 290.223,204.881 290.332,206.477 290.396,208.051 290.417,209.601 290.396,211.128 \n",
       "  290.334,212.632 290.231,214.113 290.09,215.569 289.909,217.002 289.689,218.411 289.432,219.796 289.138,221.157 288.806,222.493 288.436,223.804 288.03,225.09 \n",
       "  287.587,226.35 287.107,227.585 286.59,228.793 286.035,229.975 285.443,231.129 284.813,232.255 284.144,233.353 283.437,234.422 282.69,235.461 281.904,236.469 \n",
       "  281.077,237.445 280.208,238.388 279.298,239.297 278.345,240.171 277.349,241.008 276.308,241.806 275.222,242.565 274.09,243.282 272.911,243.955 271.684,244.582 \n",
       "  270.409,245.162 269.085,245.691 267.71,246.167 266.285,246.587 264.808,246.948 263.279,247.247 261.698,247.48 260.064,247.644 258.377,247.735 256.638,247.749 \n",
       "  254.845,247.681 253.001,247.527 251.105,247.282 249.159,246.941 247.163,246.498 245.12,245.949 243.032,245.288 240.9,244.509 238.73,243.606 236.523,242.573 \n",
       "  234.284,241.405 232.018,240.096 229.731,238.641 227.428,237.033 225.117,235.267 222.805,233.34 220.501,231.248 218.214,228.986 215.954,226.553 213.733,223.947 \n",
       "  211.562,221.168 209.454,218.217 207.422,215.096 205.479,211.812 203.641,208.368 201.922,204.775 200.338,201.043 198.902,197.184 197.631,193.213 196.538,189.148 \n",
       "  195.638,185.01 194.944,180.819 194.468,176.6 194.22,172.38 194.21,168.185 194.445,164.045 194.929,159.989 195.665,156.047 196.654,152.248 197.893,148.622 \n",
       "  199.378,145.195 201.101,141.994 203.053,139.042 205.22,136.36 207.59,133.963 210.145,131.867 212.869,130.081 215.742,128.611 218.744,127.458 221.854,126.622 \n",
       "  225.053,126.096 228.32,125.873 231.633,125.941 234.975,126.285 238.326,126.89 241.669,127.738 244.987,128.811 248.267,130.087 251.494,131.548 254.658,133.174 \n",
       "  257.747,134.946 260.753,136.843 263.669,138.849 266.488,140.947 269.207,143.121 271.821,145.356 274.328,147.64 276.726,149.96 279.015,152.306 281.196,154.668 \n",
       "  283.268,157.038 285.234,159.409 287.094,161.774 288.853,164.129 290.511,166.469 292.073,168.79 293.54,171.088 294.918,173.363 296.208,175.61 297.415,177.83 \n",
       "  298.542,180.02 299.592,182.18 300.569,184.31 301.477,186.408 302.319,188.475 303.098,190.511 303.818,192.515 304.481,194.489 305.091,196.432 305.651,198.344 \n",
       "  306.163,200.227 306.629,202.08 307.053,203.905 307.438,205.701 307.784,207.469 308.094,209.21 308.371,210.924 308.616,212.611 308.831,214.274 309.017,215.911 \n",
       "  309.176,217.523 309.31,219.111 309.42,220.676 309.506,222.217 309.571,223.736 309.615,225.233 309.638,226.708 309.643,228.162 309.629,229.595 309.597,231.007 \n",
       "  309.548,232.4 309.483,233.772 309.4,235.126 309.302,236.461 309.189,237.777 309.059,239.075 308.915,240.356 308.755,241.618 308.58,242.864 308.39,244.092 \n",
       "  308.185,245.304 307.964,246.5 307.728,247.679 307.476,248.843 307.207,249.991 306.923,251.124 306.621,252.241 306.302,253.343 305.966,254.43 305.611,255.503 \n",
       "  305.237,256.561 304.844,257.604 304.43,258.633 303.996,259.647 303.54,260.648 303.061,261.633 302.558,262.605 302.032,263.562 301.479,264.504 300.901,265.432 \n",
       "  300.294,266.345 299.659,267.243 298.993,268.126 298.296,268.993 297.566,269.844 296.802,270.679 296.001,271.497 295.164,272.297 294.287,273.079 293.369,273.842 \n",
       "  292.409,274.586 291.404,275.308 290.353,276.008 289.253,276.686 288.102,277.338 286.898,277.964 285.64,278.563 284.324,279.131 282.948,279.667 281.51,280.169 \n",
       "  280.007,280.633 278.437,281.057 276.798,281.438 275.086,281.771 273.299,282.054 271.435,282.281 269.491,282.448 267.465,282.55 265.354,282.581 263.157,282.534 \n",
       "  260.87,282.403 258.493,282.18 256.023,281.858 253.46,281.427 250.803,280.879 248.051,280.204 245.204,279.389 242.264,278.426 239.231,277.3 236.109,275.999 \n",
       "  232.9,274.51 229.609,272.818 226.242,270.91 222.806,268.77 219.31,266.383 215.764,263.734 212.18,260.808 208.572,257.59 204.957,254.068 201.354,250.229 \n",
       "  197.783,246.063 194.268,241.561 190.834,236.719 187.509,231.534 184.323,226.008 181.309,220.15 178.501,213.97 175.933,207.489 173.642,200.732 171.662,193.73 \n",
       "  170.031,186.524 168.782,179.161 167.945,171.694 167.551,164.186 167.624,156.702 168.181,149.314 169.237,142.098 170.798,135.13 172.864,128.485 175.425,122.237 \n",
       "  178.466,116.454 181.964,111.198 185.889,106.522 190.204,102.467 194.866,99.0636 199.832,96.3294 205.05,94.2694 210.472,92.8757 216.047,92.1291 221.725,91.9996 \n",
       "  227.458,92.4486 233.203,93.43 238.918,94.8929 244.566,96.783 250.115,99.0445 255.538,101.622 260.812,104.461 265.917,107.51 270.839,110.722 275.569,114.054 \n",
       "  280.098,117.466 284.422,120.925 288.541,124.4 292.454,127.866 296.164,131.304 299.675,134.695 302.993,138.026 306.124,141.287 309.075,144.47 311.854,147.569 \n",
       "  314.468,150.581 316.927,153.503 319.238,156.335 321.41,159.078 323.451,161.731 325.37,164.297 327.175,166.778 328.873,169.176 330.472,171.493 331.98,173.733 \n",
       "  333.404,175.898 334.75,177.991 336.026,180.014 337.238,181.97 338.391,183.861 339.491,185.689 340.544,187.457 341.556,189.167 342.53,190.819 343.472,192.417 \n",
       "  344.387,193.96 345.277,195.451 346.148,196.891 347.004,198.281 347.847,199.62 348.681,200.911 349.51,202.154 350.336,203.349 351.163,204.497 351.993,205.597 \n",
       "  352.828,206.65 353.672,207.655 354.526,208.614 355.392,209.524 356.274,210.387 357.172,211.201 358.089,211.965 359.026,212.68 359.985,213.345 360.968,213.958 \n",
       "  361.976,214.518 363.01,215.025 364.072,215.477 365.164,215.873 366.285,216.211 367.437,216.491 368.621,216.71 369.838,216.867 371.089,216.959 372.373,216.986 \n",
       "  373.692,216.946 375.045,216.835 376.433,216.653 377.856,216.397 379.313,216.065 380.804,215.655 382.329,215.164 383.886,214.591 385.474,213.933 387.093,213.188 \n",
       "  388.74,212.355 390.413,211.43 392.111,210.414 393.83,209.303 395.567,208.096 397.32,206.793 399.084,205.392 400.855,203.893 402.629,202.296 404.4,200.601 \n",
       "  406.163,198.81 407.912,196.923 409.641,194.943 411.342,192.872 413.009,190.715 414.633,188.476 416.207,186.16 417.722,183.772 419.169,181.322 420.541,178.816 \n",
       "  421.826,176.263 423.018,173.674 424.105,171.061 425.08,168.434 425.934,165.806 426.659,163.192 427.246,160.605 427.689,158.06 427.981,155.572 428.116,153.157 \n",
       "  428.09,150.829 427.899,148.603 427.541,146.495 427.015,144.517 426.32,142.684 425.46,141.006 424.436,139.494 423.253,138.158 421.916,137.004 420.432,136.039 \n",
       "  418.81,135.266 417.058,134.687 415.187,134.303 413.207,134.112 411.13,134.11 408.967,134.292 406.731,134.652 404.434,135.182 402.089,135.872 399.708,136.714 \n",
       "  397.302,137.696 394.884,138.808 392.464,140.037 390.052,141.373 387.659,142.804 385.293,144.319 382.963,145.907 380.676,147.557 378.438,149.26 376.256,151.007 \n",
       "  374.134,152.789 372.077,154.598 370.088,156.427 368.171,158.27 366.328,160.122 364.56,161.976 362.869,163.829 361.255,165.677 359.719,167.516 358.261,169.344 \n",
       "  356.88,171.159 355.575,172.958 354.346,174.74 353.191,176.503 352.109,178.247 351.098,179.971 350.157,181.673 349.284,183.354 348.478,185.013 347.735,186.65 \n",
       "  347.056,188.265 346.437,189.858 345.877,191.428 345.374,192.975 344.926,194.5 344.532,196.002 344.19,197.481 343.898,198.938 343.655,200.371 343.459,201.782 \n",
       "  343.31,203.17 343.205,204.535 343.143,205.876 343.124,207.194 343.147,208.488 343.21,209.758 343.313,211.004 343.455,212.225 343.635,213.42 343.854,214.591 \n",
       "  344.109,215.735 344.402,216.853 344.731,217.943 345.097,219.006 345.5,220.041 345.939,221.047 346.414,222.022 346.927,222.968 347.476,223.882 348.062,224.763 \n",
       "  348.686,225.611 349.348,226.425 350.048,227.203 350.787,227.945 351.566,228.648 352.385,229.312 353.245,229.935 354.147,230.516 355.091,231.053 356.078,231.544 \n",
       "  357.11,231.988 358.187,232.382 359.31,232.724 360.479,233.012 361.697,233.244 362.963,233.418 364.278,233.53 365.644,233.578 367.062,233.559 368.531,233.471 \n",
       "  370.052,233.309 371.627,233.07 373.255,232.752 374.938,232.35 376.674,231.861 378.464,231.281 380.307,230.606 382.204,229.832 384.153,228.954 386.153,227.969 \n",
       "  388.202,226.873 390.3,225.661 392.443,224.329 394.628,222.873 396.853,221.29 399.112,219.575 401.403,217.727 403.719,215.741 406.054,213.616 408.403,211.35 \n",
       "  410.756,208.943 413.107,206.393 415.445,203.702 417.761,200.872 420.044,197.905 422.283,194.808 424.464,191.585 426.574,188.245 428.599,184.797 430.525,181.253 \n",
       "  432.337,177.626 434.018,173.931 435.554,170.185 436.93,166.409 438.128,162.622 439.136,158.848 439.938,155.11 440.522,151.435 440.877,147.849 440.991,144.379 \n",
       "  440.857,141.051 440.468,137.893 439.822,134.929 438.915,132.185 437.75,129.682 436.331,127.44 434.664,125.477 432.757,123.806 430.624,122.437 428.277,121.377 \n",
       "  425.734,120.628 423.01,120.189 420.127,120.054 417.103,120.215 413.96,120.661 410.72,121.375 407.404,122.342 404.032,123.541 400.626,124.953 397.204,126.556 \n",
       "  393.785,128.328 390.387,130.247 387.025,132.292 383.712,134.442 380.462,136.679 377.285,138.983 374.192,141.338 371.189,143.729 368.284,146.143 365.481,148.567 \n",
       "  362.784,150.992 360.197,153.408 357.72,155.808 355.355,158.187 353.102,160.539 350.96,162.86 348.927,165.148 347.002,167.401 345.181,169.618 343.464,171.797 \n",
       "  341.846,173.939 340.324,176.043 338.895,178.11 337.555,180.141 336.301,182.137 335.129,184.099 334.035,186.027 333.016,187.923 332.068,189.789 331.188,191.624 \n",
       "  330.371,193.431 329.615,195.21 328.917,196.963 328.273,198.69 327.68,200.393 327.135,202.071 326.636,203.726 326.179,205.359 325.763,206.971 325.385,208.56 \n",
       "  325.043,210.13 324.734,211.679 324.457,213.208 324.209,214.718 323.99,216.208 323.797,217.68 323.628,219.133 323.484,220.568 323.361,221.985 323.259,223.384 \n",
       "  323.177,224.765 323.114,226.128 323.068,227.474 323.04,228.802 323.028,230.113 323.031,231.407 323.049,232.684 323.082,233.944 323.129,235.186 323.19,236.412 \n",
       "  323.264,237.621 323.35,238.813 323.45,239.988 323.562,241.146 323.687,242.288 323.824,243.412 323.973,244.52 324.135,245.611 324.309,246.686 324.497,247.743 \n",
       "  324.697,248.784 324.909,249.808 325.136,250.814 325.376,251.804 325.63,252.777 325.898,253.733 326.181,254.671 326.479,255.592 326.793,256.496 327.124,257.382 \n",
       "  327.471,258.25 327.836,259.1 328.219,259.931 328.621,260.744 329.043,261.539 329.486,262.314 329.951,263.069 330.437,263.805 330.948,264.52 331.483,265.215 \n",
       "  332.043,265.888 332.631,266.539 333.246,267.168 333.891,267.773 334.567,268.354 335.275,268.911 336.016,269.441 336.793,269.945 337.606,270.42 338.458,270.867 \n",
       "  339.351,271.283 340.285,271.667 341.264,272.017 342.289,272.333 343.362,272.611 344.486,272.85 345.662,273.048 346.894,273.202 348.182,273.309 349.531,273.368 \n",
       "  350.943,273.374 352.419,273.325 353.963,273.217 355.578,273.046 357.266,272.808 359.03,272.498 360.873,272.111 362.798,271.643 364.807,271.087 366.903,270.437 \n",
       "  369.088,269.688 371.366,268.831 373.738,267.86 376.206,266.767 378.773,265.542 381.439,264.178 384.206,262.665 387.074,260.994 390.043,259.153 393.112,257.133 \n",
       "  396.28,254.922 399.544,252.51 402.9,249.886 406.344,247.037 409.87,243.954 413.469,240.625 417.133,237.041 420.849,233.193 424.605,229.073 428.385,224.675 \n",
       "  432.17,219.995 435.94,215.033 439.673,209.789 443.341,204.27 446.918,198.485 450.371,192.448 453.667,186.179 456.77,179.704 459.644,173.055 462.25,166.27 \n",
       "  464.547,159.394 466.497,152.479 468.061,145.582 469.203,138.767 469.889,132.103 470.089,125.66 469.778,119.511 468.939,113.731 467.56,108.39 465.637,103.555 \n",
       "  463.175,99.2852 460.188,95.6333 456.696,92.6394 452.73,90.3319 448.327,88.7259 443.53,87.8224 438.389,87.6087 432.956,88.0587 427.286,89.1344 421.434,90.7878 \n",
       "  415.456,92.9622 409.404,95.5952 403.329,98.621 397.275,101.972 391.286,105.583 385.397,109.389 379.639,113.331 374.039,117.354 368.617,121.411 363.39,125.46 \n",
       "  358.369,129.465 353.563,133.398 348.977,137.235 344.611,140.96 340.465,144.56 336.537,148.027 332.822,151.357 329.313,154.548 326.004,157.601 322.887,160.519 \n",
       "  319.953,163.308 317.194,165.972 314.601,168.518 312.165,170.953 309.876,173.283 307.726,175.515 305.706,177.657 303.806,179.714 302.019,181.694 300.336,183.601 \n",
       "  298.75,185.441 297.252,187.22 295.836,188.942 294.495,190.61 293.221,192.228 292.009,193.801 290.853,195.33 289.746,196.818 288.684,198.268 287.66,199.681 \n",
       "  286.671,201.058 285.712,202.402 284.778,203.713 283.865,204.991 282.969,206.239 282.086,207.455 281.214,208.641 280.348,209.796 279.486,210.92 278.625,212.013 \n",
       "  277.762,213.076 276.894,214.106 276.019,215.105 275.135,216.071 274.24,217.003 273.331,217.901 272.407,218.763 271.466,219.589 270.507,220.378 269.528,221.128 \n",
       "  268.527,221.838 267.503,222.506 266.456,223.131 265.384,223.712 264.286,224.247 263.161,224.734 262.01,225.171 260.831,225.556 259.624,225.887 258.389,226.163 \n",
       "  257.125,226.381 255.833,226.538 254.514,226.632 253.166,226.662 251.792,226.624 250.392,226.516 248.967,226.335 247.518,226.079 246.047,225.746 244.555,225.331 \n",
       "  243.045,224.835 241.519,224.252 239.98,223.582 238.43,222.822 236.873,221.97 235.312,221.023 233.751,219.981 232.195,218.841 230.647,217.603 229.114,216.266 \n",
       "  227.6,214.83 226.111,213.294 224.653,211.659 223.232,209.927 221.854,208.1 220.527,206.18 219.257,204.17 218.051,202.076 216.916,199.901 215.86,197.653 \n",
       "  214.889,195.336 214.011,192.961 213.233,190.534 212.561,188.065 212.001,185.565 211.56,183.045 211.242,180.516 211.052,177.991 210.993,175.483 211.07,173.004 \n",
       "  211.284,170.569 211.636,168.191 212.128,165.884 212.757,163.66 213.523,161.532 214.424,159.513 215.454,157.614 216.61,155.846 217.887,154.217 219.277,152.736 \n",
       "  220.773,151.411 222.368,150.245 224.053,149.245 225.819,148.412 227.657,147.747 229.558,147.251 231.51,146.922 233.505,146.757 235.534,146.753 237.585,146.905 \n",
       "  239.651,147.207 241.722,147.652 243.79,148.232 245.847,148.942 247.884,149.771 249.897,150.713 251.877,151.758 253.819,152.898 255.718,154.125 257.569,155.429 \n",
       "  259.368,156.805 261.112,158.243 262.797,159.736 264.422,161.278 265.984,162.861 267.481,164.48 268.913,166.128 270.278,167.802 271.576,169.494 272.808,171.202 \n",
       "  273.972,172.92 275.07,174.646 276.102,176.376 277.068,178.106 277.97,179.834 278.809,181.558 279.585,183.275 280.3,184.983 280.955,186.681 281.552,188.366 \n",
       "  282.091,190.038 282.574,191.695 283.002,193.337 283.377,194.961 283.7,196.567 283.971,198.155 284.193,199.724 284.366,201.272 284.492,202.8 284.571,204.307 \n",
       "  284.604,205.793 284.593,207.256 284.538,208.696 284.439,210.114 284.298,211.508 284.116,212.878 283.892,214.224 283.627,215.545 283.321,216.841 282.976,218.111 \n",
       "  282.59,219.354 282.165,220.571 281.7,221.761 281.195,222.922 280.651,224.055 280.067,225.158 279.443,226.231 278.78,227.272 278.076,228.282 277.331,229.259 \n",
       "  276.546,230.201 275.719,231.109 274.851,231.979 273.94,232.812 272.988,233.605 271.992,234.358 270.953,235.068 269.87,235.733 268.743,236.352 267.572,236.923 \n",
       "  266.356,237.443 265.094,237.91 263.787,238.321 262.434,238.674 261.035,238.967 259.591,239.195 258.101,239.356 256.565,239.447 254.985,239.464 253.361,239.404 \n",
       "  251.693,239.262 249.983,239.035 248.232,238.719 246.442,238.309 244.614,237.802 242.751,237.193 240.856,236.477 238.932,235.651 236.982,234.71 235.011,233.65 \n",
       "  233.022,232.466 231.022,231.155 229.014,229.714 227.007,228.138 225.006,226.426 223.019,224.575 221.053,222.583 219.118,220.45 217.222,218.175 215.375,215.76 \n",
       "  213.587,213.207 211.87,210.519 210.233,207.701 208.688,204.759 207.247,201.7 205.921,198.534 204.722,195.271 203.66,191.925 202.749,188.508 201.996,185.038 \n",
       "  201.413,181.532 201.009,178.007 200.791,174.485 200.765,170.985 200.937,167.531 201.312,164.144 201.89,160.847 202.672,157.661 203.657,154.61 204.841,151.713 \n",
       "  206.22,148.991 207.785,146.46 209.529,144.139 211.442,142.039 213.511,140.174 215.724,138.551 218.067,137.177 220.524,136.056 223.082,135.188 225.723,134.571 \n",
       "  228.433,134.202 231.195,134.074 233.994,134.178 236.816,134.504 239.645,135.04 242.469,135.774 245.275,136.693 248.051,137.78 250.787,139.023 253.474,140.406 \n",
       "  256.102,141.915 258.665,143.536 261.156,145.255 263.57,147.06 265.903,148.938 268.151,150.877 270.311,152.868 272.383,154.9 274.364,156.965 276.254,159.054 \n",
       "  278.053,161.16 279.761,163.278 281.38,165.401 282.911,167.524 284.355,169.643 285.714,171.754 286.991,173.854 288.187,175.941 289.305,178.011 290.348,180.063 \n",
       "  291.317,182.095 292.215,184.106 293.046,186.095 293.811,188.061 294.513,190.003 295.155,191.921 295.738,193.815 296.266,195.683 296.74,197.527 297.163,199.345 \n",
       "  297.537,201.138 297.864,202.906 298.145,204.65 298.383,206.368 298.578,208.062 298.734,209.732 298.85,211.378 298.929,212.999 298.971,214.597 298.978,216.171 \n",
       "  298.951,217.722 298.89,219.25 298.797,220.755 298.672,222.237 298.516,223.697 298.329,225.135 298.112,226.55 297.864,227.944 297.587,229.315 297.28,230.665 \n",
       "  296.944,231.993 296.578,233.299 296.182,234.584 295.756,235.847 295.3,237.088 294.813,238.307 294.295,239.503 293.745,240.678 293.164,241.83 292.549,242.959 \n",
       "  291.901,244.065 291.219,245.147 290.501,246.205 289.748,247.238 288.957,248.246 288.128,249.227 287.26,250.182 286.351,251.109 285.4,252.007 284.407,252.875 \n",
       "  283.369,253.711 282.286,254.515 281.155,255.285 279.976,256.018 278.747,256.714 277.467,257.369 276.133,257.983 274.745,258.552 273.301,259.073 271.799,259.544 \n",
       "  270.239,259.961 268.618,260.322 266.935,260.622 265.19,260.858 263.38,261.024 261.505,261.116 259.565,261.13 257.558,261.06 255.484,260.9 253.343,260.645 \n",
       "  251.135,260.286 248.861,259.819 246.522,259.235 244.119,258.527 241.654,257.687 239.13,256.708 236.551,255.579 233.919,254.294 231.241,252.842 228.521,251.216 \n",
       "  225.767,249.406 222.986,247.404 220.187,245.202 217.38,242.792 214.577,240.167 211.789,237.321 209.032,234.249 206.319,230.947 203.667,227.415 201.094,223.652 \n",
       "  198.619,219.662 196.261,215.448 194.042,211.021 191.983,206.39 190.104,201.573 188.429,196.586 186.979,191.452 185.776,186.199 184.838,180.855 184.185,175.456 \n",
       "  183.833,170.037 183.796,164.64 184.087,159.305 184.712,154.077 185.677,149 186.982,144.12 188.625,139.478 190.597,135.116 192.887,131.073 195.481,127.381 \n",
       "  198.358,124.071 201.498,121.166 204.875,118.682 208.461,116.633 212.229,115.021 216.148,113.845 220.188,113.098 224.319,112.765 228.511,112.83 232.736,113.269 \n",
       "  236.968,114.056 241.182,115.164 245.354,116.562 249.466,118.22 253.499,120.107 257.438,122.192 261.269,124.446 264.982,126.842 268.569,129.353 272.023,131.955 \n",
       "  275.339,134.626 278.515,137.348 281.548,140.102 284.439,142.874 287.189,145.65 289.799,148.42 292.272,151.173 294.612,153.902 296.823,156.601 298.908,159.265 \n",
       "  300.873,161.889 302.723,164.471 304.462,167.008 306.096,169.498 307.631,171.942 309.071,174.338 310.421,176.686 311.688,178.986 312.876,181.24 313.99,183.447 \n",
       "  315.034,185.608 316.015,187.725 316.935,189.798 317.8,191.828 318.613,193.816 319.379,195.764 320.102,197.672 320.785,199.541 321.432,201.373 322.046,203.168 \n",
       "  322.63,204.927 323.187,206.651 323.721,208.341 324.233,209.998 324.727,211.621 325.205,213.213 325.67,214.774 326.123,216.304 326.567,217.804 327.003,219.274 \n",
       "  327.434,220.715 327.862,222.127 328.288,223.511 328.715,224.867 329.142,226.195 329.573,227.495 330.009,228.769 330.451,230.015 330.901,231.234 331.36,232.427 \n",
       "  331.83,233.592 332.311,234.731 332.805,235.843 333.314,236.928 333.839,237.985 334.381,239.016 334.941,240.018 335.521,240.993 336.123,241.94 336.746,242.857 \n",
       "  337.394,243.746 338.067,244.605 338.766,245.433 339.493,246.23 340.25,246.996 341.038,247.728 341.858,248.427 342.713,249.091 343.603,249.719 344.53,250.31 \n",
       "  345.496,250.862 346.503,251.373 347.553,251.843 348.647,252.269 349.786,252.65 350.974,252.983 352.211,253.266 353.501,253.496 354.844,253.671 356.242,253.789 \n",
       "  357.698,253.845 359.214,253.837 360.791,253.761 362.432,253.614 364.137,253.391 365.91,253.087 367.752,252.7 369.664,252.223 371.648,251.651 373.706,250.98 \n",
       "  375.837,250.203 378.044,249.314 380.327,248.307 382.685,247.176 385.12,245.913 387.629,244.512 390.213,242.966 392.869,241.267 395.596,239.408 398.389,237.382 \n",
       "  401.244,235.181 404.158,232.799 407.123,230.229 410.133,227.465 413.18,224.502 416.253,221.335 419.342,217.961 422.433,214.378 425.514,210.586 428.567,206.587 \n",
       "  431.576,202.384 434.521,197.984 437.382,193.396 440.137,188.632 442.762,183.709 445.232,178.646 447.523,173.467 449.606,168.198 451.457,162.871 453.049,157.521 \n",
       "  454.356,152.186 455.354,146.908 456.021,141.732 456.337,136.705 456.284,131.872 455.85,127.283 455.024,122.983 453.804,119.017 452.189,115.427 450.184,112.247 \n",
       "  447.8,109.511 445.054,107.24 441.965,105.453 438.558,104.159 434.862,103.359 430.909,103.046 426.734,103.205 422.371,103.816 417.859,104.849 413.233,106.274 \n",
       "  408.53,108.052 403.785,110.145 399.028,112.511 394.292,115.11 389.602,117.899 384.985,120.842 380.459,123.899 376.045,127.038 371.757,130.228 367.608,133.442 \n",
       "  363.606,136.656 359.759,139.85 356.072,143.007 352.548,146.115 349.187,149.163 345.99,152.143 342.953,155.05 340.075,157.88 337.352,160.632 334.778,163.305 \n",
       "  332.349,165.9 330.059,168.419 327.903,170.864 325.874,173.238 323.965,175.544 322.171,177.786 320.485,179.967 318.901,182.091 317.412,184.161 316.013,186.18 \n",
       "  314.697,188.152 313.459,190.079 312.292,191.965 311.193,193.812 310.154,195.622 309.171,197.397 308.24,199.14 307.356,200.853 306.513,202.536 305.709,204.191 \n",
       "  304.939,205.82 304.199,207.423 303.485,209.002 302.795,210.557 302.124,212.089 301.469,213.599 300.828,215.086 300.197,216.552 299.574,217.996 298.957,219.42 \n",
       "  298.342,220.822 297.727,222.203 297.111,223.564 296.49,224.904 295.863,226.223 295.227,227.52 294.581,228.796 293.923,230.051 293.251,231.284 292.562,232.495 \n",
       "  291.856,233.683 291.131,234.848 290.384,235.99 289.614,237.107 288.82,238.2 287.999,239.267 287.151,240.308 286.274,241.321 285.365,242.307 284.423,243.264 \n",
       "  283.448,244.19 282.436,245.086 281.388,245.948 280.3,246.776 279.172,247.569 278.001,248.323 276.787,249.039 275.529,249.713 274.223,250.343 272.87,250.927 \n",
       "  271.467,251.463 270.013,251.947 268.507,252.377 266.949,252.75 265.336,253.061 263.667,253.307 261.943,253.485 260.162,253.589 258.323,253.616 256.427,253.561 \n",
       "  254.473,253.418 252.462,253.183 250.394,252.849 248.27,252.411 246.091,251.862 243.86,251.196 241.577,250.407 239.247,249.487 236.872,248.429 234.457,247.227 \n",
       "  232.006,245.874 229.524,244.361 227.019,242.684 224.497,240.834 221.966,238.807 219.435,236.595 216.915,234.195 214.417,231.603 211.952,228.814 209.534,225.828 \n",
       "  207.177,222.645 204.896,219.266 202.706,215.695 200.626,211.937 198.67,208.001 196.858,203.897 195.207,199.638 193.736,195.242 192.46,190.728 191.399,186.117 \n",
       "  190.567,181.435 189.98,176.71 189.651,171.972 189.591,167.253 189.81,162.588 190.314,158.012 191.107,153.561 192.19,149.27 193.56,145.175 195.213,141.309 \n",
       "  197.14,137.702 199.328,134.384 201.765,131.378 204.432,128.706 207.31,126.383 210.378,124.42 213.613,122.824 216.991,121.596 220.488,120.733 224.079,120.228 \n",
       "  227.739,120.068 231.446,120.237 235.175,120.719 238.906,121.491 242.619,122.532 246.295,123.818 249.918,125.325 253.473,127.028 256.948,128.903 260.332,130.927 \n",
       "  263.616,133.078 266.791,135.336 269.853,137.679 272.798,140.092 275.621,142.558 278.323,145.062 280.901,147.591 283.356,150.135 285.689,152.683 287.902,155.227 \n",
       "  289.998,157.759 291.98,160.275 293.85,162.768 295.612,165.235 297.27,167.672 298.828,170.077 300.291,172.448 301.663,174.784 302.947,177.083 304.149,179.345 \n",
       "  305.272,181.569 306.32,183.756 307.299,185.905 308.211,188.017 309.061,190.092 309.852,192.13 310.588,194.133 311.273,196.101 311.91,198.035 312.501,199.935 \n",
       "  313.051,201.802 313.563,203.636 314.038,205.44 314.479,207.212 314.89,208.955 315.272,210.668 315.628,212.352 315.959,214.009 316.268,215.638 316.557,217.241 \n",
       "  316.827,218.817 317.08,220.368 317.317,221.894 317.54,223.396 317.751,224.873 317.951,226.327 318.14,227.759 318.32,229.168 318.492,230.554 318.657,231.92 \n",
       "  318.816,233.264 318.97,234.587 319.119,235.89 319.265,237.173 319.408,238.436 319.549,239.68 319.689,240.905 319.827,242.111 319.965,243.298 320.104,244.468 \n",
       "  320.243,245.619 320.384,246.753 320.527,247.869 320.672,248.968 320.82,250.05 320.972,251.115 321.127,252.164 321.287,253.196 321.451,254.212 321.621,255.212 \n",
       "  321.797,256.195 321.979,257.163 322.167,258.115 322.363,259.052 322.567,259.972 322.778,260.878 322.999,261.767 323.228,262.642 323.468,263.501 323.718,264.344 \n",
       "  323.979,265.172 324.251,265.985 324.536,266.782 324.834,267.564 325.145,268.33 325.471,269.08 325.812,269.815 326.168,270.533 326.542,271.235 326.933,271.921 \n",
       "  327.342,272.59 327.771,273.242 328.22,273.876 328.691,274.493 329.184,275.092 329.701,275.673 330.242,276.234 330.81,276.776 331.406,277.298 332.03,277.799 \n",
       "  332.684,278.279 333.37,278.736 334.09,279.17 334.845,279.58 335.636,279.964 336.466,280.322 337.337,280.653 338.25,280.954 339.207,281.225 340.212,281.463 \n",
       "  341.265,281.667 342.37,281.835 343.528,281.965 344.743,282.053 346.016,282.099 347.351,282.099 348.751,282.049 350.218,281.947 351.755,281.789 353.366,281.571 \n",
       "  355.053,281.289 356.819,280.938 358.669,280.513 360.604,280.008 362.629,279.418 364.746,278.737 366.958,277.958 369.27,277.072 371.683,276.074 374.2,274.953 \n",
       "  376.824,273.701 379.557,272.309 382.4,270.766 385.356,269.062 388.425,267.185 391.607,265.123 394.901,262.865 398.306,260.397 401.818,257.706 405.435,254.779 \n",
       "  409.151,251.604 412.958,248.167 416.849,244.455 420.81,240.457 424.831,236.162 428.895,231.561 432.983,226.647 437.075,221.416 441.146,215.866 445.169,210 \n",
       "  449.112,203.825 452.944,197.352 456.625,190.602 460.117,183.597 463.378,176.372 466.362,168.965 469.025,161.424 471.321,153.807 473.203,146.177 474.627,138.605 \n",
       "  475.553,131.169 475.944,123.954 475.767,117.043 474.999,110.525 473.624,104.485 471.634,99.0033 469.031,94.1549 465.83,90.003 462.054,86.5989 457.736,83.9787 \n",
       "  452.919,82.1625 447.654,81.153 441.998,80.9357 436.012,81.4797 429.761,82.739 423.31,84.6549 416.724,87.1588 410.065,90.1746 403.391,93.6224 396.754,97.421 \n",
       "  390.201,101.491 383.774,105.756 377.506,110.146 371.426,114.599 365.556,119.059 359.913,123.478 354.507,127.818 349.347,132.047 344.436,136.142 339.773,140.086 \n",
       "  335.356,143.867 331.18,147.478 327.239,150.918 323.524,154.186 320.028,157.288 316.74,160.227 313.651,163.012 310.75,165.651 308.026,168.151 305.47,170.522 \n",
       "  303.071,172.773 300.82,174.912 298.706,176.948 296.719,178.889 294.852,180.742 293.094,182.514 291.438,184.212 289.875,185.841 288.398,187.407 286.999,188.914 \n",
       "  285.671,190.366 284.408,191.768 283.203,193.123 282.051,194.432 280.946,195.7 279.883,196.927 278.856,198.116 277.861,199.268 276.894,200.385 275.95,201.466 \n",
       "  275.026,202.513 274.117,203.527 273.222,204.506 272.335,205.453 271.455,206.366 270.579,207.245 269.704,208.091 268.829,208.902 267.949,209.678 267.065,210.418 \n",
       "  266.173,211.122 265.273,211.789 264.362,212.418 263.44,213.007 262.505,213.556 261.556,214.064 260.593,214.528 259.614,214.95 258.619,215.325 257.608,215.655 \n",
       "  256.58,215.936 255.535,216.168 254.473,216.349 253.395,216.478 252.3,216.552 251.189,216.571 250.062,216.533 248.922,216.437 247.768,216.28 246.601,216.062 \n",
       "  245.424,215.78 244.237,215.435 243.043,215.023 241.843,214.545 240.64,213.999 239.435,213.383 238.232,212.698 237.033,211.942 235.842,211.116 234.66,210.219 \n",
       "  233.493,209.25 232.342,208.211 231.213,207.102 230.108,205.924 229.033,204.678 227.991,203.367 226.986,201.991 226.023,200.555 225.106,199.061 224.24,197.513 \n",
       "  223.43,195.914 222.679,194.269 221.992,192.583 221.374,190.862 220.827,189.112 220.357,187.338 219.967,185.549 219.66,183.75 219.439,181.95 219.307,180.156 \n",
       "  219.265,178.376 219.316,176.619 219.461,174.892 219.699,173.205 220.033,171.565 220.46,169.98 220.981,168.458 221.592,167.006 222.293,165.632 223.081,164.343 \n",
       "  223.952,163.143 224.902,162.039 225.928,161.035 227.025,160.135 228.187,159.343 229.41,158.662 230.688,158.092 232.015,157.634 233.385,157.29 234.792,157.059 \n",
       "  236.231,156.939 237.694,156.928 239.175,157.025 240.67,157.226 242.172,157.528 243.675,157.927 245.175,158.419 246.665,158.999 248.142,159.663 249.6,160.405 \n",
       "  251.036,161.221 252.445,162.106 253.824,163.055 255.17,164.062 256.48,165.122 257.75,166.232 258.979,167.386 260.165,168.579 261.306,169.807 262.4,171.067 \n",
       "  263.446,172.353 264.444,173.663 265.392,174.992 266.289,176.337 267.137,177.696 267.933,179.065 268.678,180.441 269.372,181.822 270.016,183.205 270.608,184.589 \n",
       "  271.151,185.97 271.644,187.348 272.087,188.719 272.482,190.084 272.828,191.439 273.126,192.784 273.377,194.116 273.582,195.436 273.741,196.741 273.854,198.031 \n",
       "  273.922,199.304 273.947,200.559 273.927,201.795 273.865,203.012 273.759,204.208 273.612,205.382 273.423,206.534 273.193,207.662 272.922,208.766 272.61,209.844 \n",
       "  272.259,210.896 271.867,211.921 271.436,212.918 270.965,213.885 270.456,214.822 269.907,215.728 269.32,216.601 268.694,217.441 268.03,218.246 267.328,219.014 \n",
       "  266.588,219.746 265.81,220.438 264.994,221.09 264.141,221.7 263.25,222.267 262.322,222.79 261.358,223.265 260.357,223.692 259.32,224.068 258.248,224.393 \n",
       "  257.141,224.662 255.999,224.876 254.824,225.031 253.616,225.125 252.376,225.157 251.105,225.123 249.806,225.021 248.478,224.85 247.124,224.606 245.746,224.287 \n",
       "  244.345,223.891 242.924,223.416 241.485,222.858 240.032,222.217 238.566,221.49 237.092,220.675 235.614,219.771 234.134,218.775 232.657,217.686 231.188,216.505 \n",
       "  229.732,215.229 228.293,213.859 226.877,212.395 225.489,210.839 224.136,209.19 222.823,207.451 221.558,205.625 220.346,203.715 219.194,201.724 218.109,199.658 \n",
       "  217.097,197.522 216.166,195.323 215.322,193.067 214.57,190.762 213.919,188.418 213.372,186.043 212.936,183.649 212.616,181.246 212.415,178.844 212.339,176.457 \n",
       "  212.389,174.097 212.568,171.775 212.877,169.504 213.317,167.298 213.887,165.168 214.586,163.126 215.412,161.183 216.362,159.351 217.431,157.639 218.615,156.056 \n",
       "  219.907,154.609 221.302,153.307 222.792,152.154 224.37,151.155 226.027,150.312 227.754,149.628 229.543,149.102 231.386,148.734 233.272,148.522 235.192,148.463 \n",
       "  237.139,148.552 239.103,148.785 241.075,149.156 243.048,149.659 245.013,150.287 246.964,151.032 248.894,151.887 250.797,152.845 252.666,153.896 254.497,155.035 \n",
       "  256.285,156.252 258.025,157.54 259.715,158.893 261.351,160.303 262.93,161.762 264.451,163.266 265.911,164.808 267.309,166.382 268.644,167.983 269.916,169.607 \n",
       "  271.123,171.248 272.266,172.902 273.346,174.567 274.361,176.238 275.313,177.911 276.203,179.586 277.031,181.257 277.798,182.925 278.505,184.585 279.154,186.237 \n",
       "  279.744,187.879 280.279,189.508 280.757,191.124 281.182,192.726 281.553,194.313 281.872,195.882 282.141,197.434 282.36,198.968 282.53,200.482 282.652,201.977 \n",
       "  282.728,203.451 282.758,204.904 282.743,206.335 282.683,207.744 282.58,209.131 282.435,210.494 282.247,211.833 282.017,213.147 281.745,214.437 281.433,215.701 \n",
       "  281.08,216.939 280.687,218.151 280.254,219.335 279.78,220.491 279.266,221.618 278.713,222.716 278.119,223.784 277.485,224.82 276.811,225.825 276.097,226.796 \n",
       "  275.341,227.733 274.545,228.634 273.708,229.499 272.829,230.326 271.908,231.113 270.946,231.86 269.94,232.564 268.892,233.223 267.801,233.836 266.667,234.401 \n",
       "  265.489,234.916 264.267,235.378 263.002,235.785 261.692,236.134 260.339,236.423 258.942,236.649 257.502,236.809 256.018,236.9 254.492,236.918 252.925,236.861 \n",
       "  251.316,236.724 249.669,236.504 247.983,236.198 246.26,235.8 244.503,235.309 242.714,234.719 240.896,234.027 239.052,233.228 237.184,232.32 235.298,231.297 \n",
       "  233.398,230.157 231.487,228.896 229.573,227.511 227.66,225.999 225.756,224.358 223.866,222.587 221.999,220.683 220.163,218.647 218.366,216.479 216.617,214.18 \n",
       "  214.925,211.753 213.301,209.2 211.755,206.528 210.296,203.74 208.936,200.846 207.686,197.853 206.555,194.772 205.554,191.615 204.693,188.394 203.982,185.125 \n",
       "  203.43,181.823 203.044,178.505 202.832,175.19 202.799,171.897 202.951,168.646 203.291,165.457 203.821,162.35 204.541,159.346 205.45,156.465 206.545,153.726 \n",
       "  207.821,151.147 209.272,148.744 210.891,146.532 212.668,144.524 214.593,142.732 216.655,141.163 218.84,139.823 221.135,138.717 223.527,137.847 226.001,137.21 \n",
       "  228.543,136.804 231.139,136.624 233.773,136.662 236.433,136.911 239.104,137.359 241.776,137.996 244.435,138.81 247.07,139.787 249.672,140.915 252.231,142.181 \n",
       "  254.739,143.572 257.189,145.074 259.575,146.675 261.891,148.363 264.132,150.127 266.296,151.955 268.378,153.838 270.378,155.767 272.293,157.732 274.123,159.726 \n",
       "  275.866,161.742 277.525,163.773 279.097,165.814 280.586,167.86 281.992,169.906 283.315,171.948 284.559,173.984 285.725,176.009 286.815,178.022 287.831,180.02 \n",
       "  288.776,182.001 289.65,183.964 290.458,185.908 291.201,187.831 291.881,189.733 292.501,191.613 293.062,193.47 293.568,195.304 294.019,197.114 294.419,198.901 \n",
       "  294.768,200.664 295.069,202.404 295.324,204.119 295.534,205.81 295.7,207.478 295.824,209.122 295.907,210.741 295.951,212.338 295.957,213.911 295.925,215.46 \n",
       "  295.857,216.986 295.754,218.489 295.615,219.968 295.442,221.425 295.235,222.858 294.995,224.269 294.721,225.656 294.415,227.021 294.076,228.363 293.705,229.682 \n",
       "  293.301,230.977 292.864,232.249 292.394,233.498 291.89,234.724 291.353,235.925 290.782,237.102 290.177,238.254 289.536,239.382 288.859,240.484 288.146,241.56 \n",
       "  287.395,242.609 286.607,243.631 285.779,244.624 284.912,245.589 284.003,246.523 283.052,247.426 282.058,248.296 281.02,249.133 279.936,249.934 278.805,250.699 \n",
       "  277.627,251.424 276.399,252.109 275.12,252.752 273.79,253.349 272.407,253.898 270.969,254.397 269.476,254.843 267.926,255.232 266.319,255.561 264.653,255.827 \n",
       "  262.927,256.024 261.141,256.15 259.294,256.199 257.386,256.167 255.416,256.048 253.385,255.837 251.293,255.528 249.14,255.114 246.929,254.591 244.66,253.95 \n",
       "  242.335,253.184 239.957,252.287 237.529,251.252 235.056,250.069 232.541,248.733 229.99,247.235 227.409,245.568 224.805,243.724 222.187,241.697 219.563,239.48 \n",
       "  216.943,237.066 214.34,234.452 211.764,231.634 209.23,228.607 206.752,225.372 204.345,221.929 202.027,218.281 199.815,214.431 197.726,210.389 195.78,206.163 \n",
       "  193.996,201.767 192.393,197.217 190.989,192.533 189.805,187.736 188.856,182.853 188.161,177.912 187.733,172.946 187.586,167.988 187.731,163.074 188.176,158.243 \n",
       "  188.925,153.533 189.981,148.981 191.343,144.628 193.005,140.509 194.96,136.658 197.194,133.106 199.695,129.882 202.443,127.008 205.418,124.503 208.598,122.379 \n",
       "  211.959,120.645 215.474,119.302 219.118,118.347 222.864,117.772 226.685,117.566 230.557,117.711 234.455,118.188 238.355,118.974 242.236,120.046 246.079,121.376 \n",
       "  249.865,122.939 253.58,124.709 257.209,126.659 260.742,128.764 264.168,131.001 267.48,133.346 270.672,135.779 273.74,138.281 276.68,140.835 279.491,143.425 \n",
       "  282.172,146.038 284.725,148.662 287.15,151.286 289.449,153.902 291.625,156.503 293.682,159.082 295.623,161.635 297.452,164.157 299.174,166.645 300.792,169.097 \n",
       "  302.311,171.511 303.737,173.886 305.073,176.22 306.324,178.514 307.494,180.767 308.589,182.979 309.613,185.15 310.569,187.282 311.463,189.374 312.297,191.428 \n",
       "  313.077,193.443 313.805,195.421 314.486,197.363 315.122,199.269 315.717,201.141 316.275,202.978 316.798,204.783 317.288,206.555 317.749,208.295 318.183,210.005 \n",
       "  318.593,211.684 318.981,213.334 319.349,214.956 319.698,216.549 320.032,218.115 320.351,219.654 320.658,221.166 320.954,222.653 321.241,224.115 321.52,225.551 \n",
       "  321.792,226.964 322.059,228.352 322.322,229.717 322.583,231.059 322.841,232.378 323.1,233.675 323.358,234.949 323.618,236.202 323.881,237.433 324.147,238.642 \n",
       "  324.417,239.831 324.693,240.999 324.975,242.145 325.263,243.272 325.56,244.377 325.865,245.463 326.179,246.528 326.504,247.573 326.84,248.597 327.188,249.601 \n",
       "  327.549,250.585 327.924,251.549 328.314,252.492 328.719,253.415 329.141,254.317 329.58,255.198 330.038,256.058 330.515,256.897 331.013,257.713 331.533,258.508 \n",
       "  332.075,259.28 332.641,260.029 333.233,260.755 333.851,261.457 334.497,262.134 335.172,262.785 335.878,263.411 336.616,264.009 337.388,264.579 338.194,265.12 \n",
       "  339.038,265.631 339.921,266.111 340.843,266.558 341.808,266.97 342.818,267.347 343.873,267.686 344.977,267.985 346.132,268.243 347.339,268.456 348.601,268.624 \n",
       "  349.921,268.742 351.3,268.808 352.741,268.819 354.247,268.771 355.82,268.662 357.463,268.486 359.178,268.24 360.969,267.919 362.836,267.518 364.784,267.031 \n",
       "  366.814,266.454 368.93,265.78 371.132,265.002 373.423,264.115 375.805,263.109 378.28,261.978 380.849,260.713 383.512,259.306 386.27,257.748 389.123,256.029 \n",
       "  392.071,254.14 395.11,252.071 398.241,249.811 401.457,247.351 404.756,244.679 408.132,241.787 411.577,238.665 415.082,235.303 418.638,231.694 422.232,227.83 \n",
       "  425.849,223.706 429.474,219.319 433.087,214.666 436.668,209.75 440.193,204.575 443.636,199.149 446.969,193.486 450.162,187.601 453.183,181.518 455.997,175.265 \n",
       "  458.57,168.874 460.864,162.387 462.845,155.848 464.476,149.309 465.723,142.825 466.554,136.458 466.941,130.272 466.86,124.333 466.291,118.709 465.221,113.464 \n",
       "  463.643,108.662 461.56,104.36 458.978,100.609 455.915,97.4498 452.394,94.915 448.446,93.0242 444.106,91.7853 439.419,91.1938 434.429,91.2331 429.186,91.8752 \n",
       "  423.74,93.0821 418.143,94.8074 412.444,96.9981 406.69,99.5967 400.927,102.543 395.195,105.777 389.532,109.24 383.969,112.873 378.534,116.626 373.25,120.451 \n",
       "  368.136,124.304 363.206,128.149 358.47,131.956 353.935,135.699 349.607,139.358 345.485,142.917 341.569,146.366 337.857,149.698 334.344,152.908 331.025,155.995 \n",
       "  327.893,158.959 324.941,161.804 322.162,164.533 319.548,167.151 317.089,169.664 314.778,172.076 312.606,174.394 310.565,176.625 308.646,178.773 306.842,180.846 \n",
       "  305.144,182.847 303.544,184.783 302.036,186.658 300.612,188.477 299.265,190.242 297.989,191.96 296.777,193.631 295.623,195.26 294.522,196.849 293.468,198.4 \n",
       "  292.455,199.915 291.48,201.395 290.536,202.843 289.62,204.26 288.728,205.645 287.855,207.001 286.998,208.328 286.152,209.625 285.316,210.894 284.485,212.134 \n",
       "  283.656,213.346 282.827,214.529 281.994,215.683 281.156,216.807 280.31,217.902 279.453,218.966 278.583,219.999 277.699,221 276.797,221.968 275.877,222.902 \n",
       "  274.937,223.802 273.975,224.666 272.989,225.493 271.978,226.281 270.94,227.029 269.875,227.735 268.781,228.399 267.657,229.017 266.502,229.589 265.315,230.112 \n",
       "  264.096,230.585 262.843,231.004 261.557,231.369 260.237,231.676 258.882,231.922 257.493,232.106 256.07,232.224 254.613,232.274 253.122,232.252 251.599,232.156 \n",
       "  250.043,231.983 248.457,231.729 246.842,231.391 245.199,230.965 243.53,230.449 241.838,229.839 240.126,229.132 238.396,228.324 236.652,227.414 234.899,226.397 \n",
       "  233.139,225.271 231.378,224.033 229.621,222.683 227.873,221.217 226.141,219.635 224.431,217.936 222.75,216.12 221.105,214.187 219.503,212.139 217.954,209.978 \n",
       "  216.465,207.708 215.045,205.331 213.703,202.855 212.447,200.284 211.287,197.626 210.231,194.891 209.289,192.087 208.469,189.226 207.778,186.32 207.225,183.383 \n",
       "  206.817,180.428 206.559,177.471 206.457,174.527 206.516,171.615 206.738,168.749 207.126,165.948 207.68,163.228 208.4,160.607 209.284,158.101 210.33,155.725 \n",
       "  211.532,153.493 212.884,151.42 214.381,149.517 216.013,147.794 217.771,146.26 219.646,144.921 221.626,143.783 223.701,142.847 225.858,142.116 228.086,141.588 \n",
       "  230.371,141.26 232.703,141.129 235.068,141.187 237.456,141.429 239.854,141.846 242.253,142.429 244.641,143.168 247.01,144.053 249.351,145.072 251.655,146.216 \n",
       "  253.916,147.472 256.127,148.831 258.283,150.282 260.377,151.815 262.408,153.419 264.369,155.086 266.26,156.807 268.077,158.573 269.82,160.378 271.486,162.214 \n",
       "  273.076,164.074 274.588,165.954 276.024,167.847 277.382,169.749 278.666,171.656 279.874,173.563 281.009,175.468 282.071,177.368 283.063,179.26 283.986,181.141 \n",
       "  284.841,183.01 285.631,184.865 286.357,186.705 287.02,188.527 287.624,190.332 288.169,192.117 288.658,193.883 289.091,195.629 289.471,197.354 289.8,199.057 \n",
       "  290.079,200.739 290.309,202.399 290.492,204.036 290.629,205.65 290.721,207.242 290.77,208.811 290.777,210.356 290.742,211.879 290.667,213.378 290.551,214.853 \n",
       "  290.397,216.305 290.204,217.733 289.973,219.137 289.705,220.517 289.399,221.872 289.056,223.203 288.677,224.509 288.261,225.79 287.808,227.046 287.318,228.275 \n",
       "  286.791,229.479 286.227,230.656 285.626,231.805 284.986,232.927 284.309,234.02 283.592,235.084 282.836,236.118 282.041,237.121 281.204,238.093 280.327,239.031 \n",
       "  279.407,239.935 278.444,240.804 277.438,241.636 276.387,242.43 275.29,243.183 274.148,243.895 272.958,244.563 271.72,245.185 270.433,245.759 269.097,246.282 \n",
       "  267.71,246.752 266.272,247.165 264.782,247.52 263.24,247.811 261.644,248.037 259.996,248.193 258.294,248.275 256.539,248.279 254.73,248.201 252.869,248.036 \n",
       "  250.956,247.779 248.992,247.425 246.978,246.968 244.917,246.404 242.809,245.726 240.659,244.93 238.468,244.007 236.241,242.954 233.983,241.764 231.696,240.43 \n",
       "  229.389,238.948 227.066,237.312 224.735,235.517 222.403,233.558 220.081,231.431 217.776,229.132 215.499,226.66 213.262,224.013 211.076,221.191 208.955,218.195 \n",
       "  206.912,215.028 204.961,211.694 203.117,208.201 201.394,204.556 199.809,200.771 198.376,196.859 197.11,192.836 196.027,188.719 195.141,184.529 194.464,180.289 \n",
       "  194.009,176.023 193.787,171.758 193.806,167.522 194.073,163.345 194.594,159.256 195.371,155.286 196.403,151.466 197.688,147.824 199.222,144.388 200.995,141.184 \n",
       "  202.998,138.235 205.218,135.562 207.641,133.182 210.25,131.107 213.025,129.348 215.949,127.91 219.001,126.794 222.16,125.998 225.404,125.516 228.713,125.338 \n",
       "  232.067,125.453 235.446,125.846 238.831,126.5 242.204,127.397 245.551,128.517 248.855,129.84 252.104,131.347 255.286,133.016 258.391,134.828 261.411,136.764 \n",
       "  264.337,138.806 267.165,140.938 269.891,143.142 272.509,145.406 275.019,147.715 277.419,150.059 279.709,152.426 281.889,154.807 283.96,157.194 285.923,159.58 \n",
       "  287.781,161.958 289.535,164.325 291.19,166.674 292.748,169.004 294.211,171.31 295.585,173.59 296.871,175.843 298.074,178.067 299.197,180.261 300.244,182.423 \n",
       "  301.218,184.555 302.123,186.655 302.963,188.722 303.74,190.758 304.458,192.763 305.121,194.736 305.73,196.678 306.29,198.59 306.803,200.471 307.271,202.323 \n",
       "  307.698,204.145 308.084,205.939 308.434,207.705 308.749,209.444 309.031,211.156 309.281,212.841 309.502,214.5 309.696,216.135 309.863,217.744 310.006,219.33 \n",
       "  310.125,220.892 310.222,222.43 310.298,223.946 310.354,225.44 310.39,226.912 310.409,228.363 310.409,229.793 310.393,231.202 310.361,232.592 310.313,233.962 \n",
       "  310.25,235.312 310.171,236.644 310.079,237.958 309.971,239.253 309.85,240.531 309.715,241.791 309.566,243.034 309.402,244.26 309.225,245.47 309.034,246.664 \n",
       "  308.829,247.841 308.61,249.003 308.376,250.15 308.127,251.281 307.863,252.397 307.583,253.498 307.288,254.585 306.976,255.658 306.648,256.716 306.302,257.76 \n",
       "  305.938,258.79 305.555,259.806 305.152,260.809 304.73,261.797 304.287,262.773 303.822,263.734 303.334,264.682 302.822,265.616 302.286,266.537 301.724,267.443 \n",
       "  301.135,268.336 300.518,269.214 299.871,270.078 299.194,270.928 298.485,271.762 297.742,272.581 296.965,273.385 296.15,274.171 295.298,274.941 294.405,275.693 \n",
       "  293.47,276.427 292.492,277.141 291.468,277.834 290.396,278.506 289.274,279.155 288.101,279.78 286.873,280.378 285.588,280.949 284.244,281.489 282.839,281.998 \n",
       "  281.37,282.471 279.834,282.907 278.228,283.303 276.551,283.654 274.8,283.957 272.971,284.209 271.062,284.404 269.071,284.537 266.995,284.603 264.832,284.597 \n",
       "  262.579,284.51 260.234,284.337 257.795,284.069 255.261,283.698 252.631,283.215 249.904,282.61 247.078,281.872 244.156,280.99 241.137,279.953 238.023,278.747 \n",
       "  234.817,277.358 231.523,275.773 228.146,273.976 224.692,271.953 221.168,269.687 217.584,267.164 213.951,264.366 210.283,261.279 206.594,257.888 202.903,254.179 \n",
       "  199.229,250.139 195.595,245.759 192.026,241.029 188.548,235.947 185.193,230.51 181.991,224.723 178.978,218.594 176.188,212.139 173.66,205.38 171.43,198.344 \n",
       "  169.535,191.069 168.013,183.599 166.898,175.985 166.222,168.287 166.013,160.572 166.294,152.91 167.084,145.38 168.392,138.059 170.224,131.028 172.574,124.366 \n",
       "  175.431,118.147 178.774,112.441 182.576,107.307 186.802,102.796 191.411,98.946 196.357,95.7828 201.591,93.318 207.061,91.55 212.713,90.4643 218.496,90.0346 \n",
       "  224.359,90.2243 230.253,90.9883 236.134,92.2753 241.963,94.0292 247.702,96.1919 253.322,98.7046 258.796,101.51 264.104,104.552 269.228,107.78 274.156,111.146 \n",
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       "  314.802,148.44 317.374,151.421 319.791,154.308 322.063,157.099 324.197,159.796 326.203,162.401 328.089,164.915 329.863,167.342 331.533,169.684 333.107,171.945 \n",
       "  334.593,174.126 335.997,176.231 337.326,178.262 338.588,180.224 339.787,182.117 340.931,183.945 342.025,185.709 343.074,187.412 344.084,189.056 345.059,190.643 \n",
       "  346.004,192.174 346.923,193.65 347.821,195.073 348.701,196.444 349.568,197.764 350.424,199.034 351.273,200.253 352.118,201.424 352.962,202.545 353.808,203.618 \n",
       "  354.659,204.642 355.517,205.618 356.383,206.545 357.262,207.423 358.154,208.252 359.061,209.031 359.986,209.761 360.931,210.439 361.896,211.066 362.883,211.64 \n",
       "  363.894,212.161 364.93,212.627 365.993,213.038 367.083,213.392 368.201,213.688 369.348,213.925 370.525,214.1 371.733,214.213 372.972,214.262 374.243,214.244 \n",
       "  375.545,214.159 376.879,214.005 378.245,213.779 379.642,213.479 381.07,213.105 382.528,212.654 384.016,212.123 385.532,211.512 387.076,210.818 388.644,210.04 \n",
       "  390.236,209.176 391.849,208.224 393.481,207.184 395.129,206.054 396.79,204.833 398.459,203.521 400.134,202.117 401.81,200.623 403.481,199.037 405.144,197.361 \n",
       "  406.792,195.598 408.42,193.748 410.02,191.815 411.588,189.803 413.115,187.715 414.594,185.557 416.017,183.334 417.378,181.053 418.666,178.722 419.876,176.348 \n",
       "  420.998,173.941 422.024,171.512 422.946,169.07 423.756,166.627 424.448,164.197 425.013,161.79 425.446,159.421 425.74,157.102 425.891,154.848 425.895,152.673 \n",
       "  425.747,150.588 425.446,148.609 424.991,146.746 424.381,145.012 423.619,143.418 422.705,141.974 421.644,140.687 420.441,139.564 419.102,138.613 417.633,137.835 \n",
       "  416.042,137.234 414.337,136.811 412.53,136.565 410.629,136.493 408.645,136.592 406.588,136.856 404.471,137.279 402.304,137.854 400.098,138.572 397.864,139.424 \n",
       "  395.613,140.402 393.355,141.494 391.1,142.69 388.856,143.982 386.632,145.357 384.436,146.808 382.276,148.323 380.158,149.895 378.087,151.515 376.069,153.173 \n",
       "  374.108,154.864 372.208,156.58 370.373,158.315 368.605,160.063 366.905,161.82 365.276,163.58 363.719,165.339 362.234,167.095 360.822,168.844 359.482,170.584 \n",
       "  358.215,172.312 357.019,174.026 355.895,175.725 354.84,177.408 353.854,179.073 352.935,180.719 352.083,182.346 351.295,183.953 350.57,185.54 349.907,187.106 \n",
       "  349.303,188.65 348.758,190.174 348.269,191.675 347.836,193.154 347.456,194.612 347.129,196.046 346.852,197.459 346.625,198.848 346.445,200.215 346.313,201.558 \n",
       "  346.226,202.878 346.184,204.173 346.186,205.445 346.23,206.692 346.316,207.915 346.444,209.112 346.612,210.283 346.82,211.428 347.068,212.546 347.354,213.637 \n",
       "  347.68,214.7 348.044,215.734 348.446,216.739 348.886,217.714 349.365,218.657 349.882,219.569 350.438,220.448 351.032,221.293 351.665,222.103 352.337,222.877 \n",
       "  353.049,223.614 353.801,224.313 354.594,224.971 355.427,225.589 356.302,226.163 357.22,226.693 358.18,227.177 359.184,227.613 360.232,227.999 361.325,228.333 \n",
       "  362.463,228.613 363.648,228.837 364.88,229.002 366.159,229.106 367.486,229.146 368.862,229.12 370.287,229.024 371.761,228.857 373.285,228.614 374.859,228.292 \n",
       "  376.483,227.889 378.157,227.4 379.879,226.823 381.651,226.154 383.47,225.389 385.336,224.524 387.247,223.556 389.202,222.482 391.198,221.298 393.233,220.001 \n",
       "  395.303,218.587 397.406,217.053 399.536,215.396 401.69,213.616 403.862,211.708 406.046,209.673 408.236,207.508 410.424,205.215 412.603,202.794 414.763,200.247 \n",
       "  416.895,197.576 418.989,194.785 421.035,191.88 423.02,188.867 424.932,185.753 426.759,182.55 428.488,179.267 430.105,175.917 431.597,172.516 432.95,169.078 \n",
       "  434.151,165.622 435.186,162.167 436.043,158.734 436.711,155.343 437.177,152.017 437.434,148.78 437.472,145.655 437.285,142.665 436.869,139.832 436.22,137.179 \n",
       "  435.339,134.726 434.227,132.492 432.888,130.493 431.328,128.743 429.556,127.255 427.582,126.035 425.418,125.09 423.078,124.421 420.579,124.027 417.937,123.903 \n",
       "  415.168,124.043 412.293,124.436 409.329,125.07 406.294,125.931 403.208,127.002 400.088,128.267 396.952,129.706 393.814,131.303 390.692,133.037 387.598,134.891 \n",
       "  384.546,136.848 381.547,138.89 378.61,141.001 375.746,143.166 372.961,145.373 370.261,147.609 367.653,149.863 365.139,152.125 362.723,154.388 360.407,156.644 \n",
       "  358.193,158.887 356.079,161.112 354.068,163.315 352.156,165.493 350.345,167.644 348.631,169.766 347.012,171.858 345.487,173.918 344.052,175.947 342.706,177.944 \n",
       "  341.444,179.91 340.264,181.845 339.163,183.749 338.138,185.623 337.185,187.469 336.302,189.285 335.485,191.075 334.731,192.837 334.038,194.573 333.402,196.284 \n",
       "  332.821,197.97 332.293,199.632 331.814,201.271 331.382,202.887 330.995,204.481 330.65,206.052 330.347,207.603 330.082,209.132 329.853,210.64 329.66,212.127 \n",
       "  329.5,213.595 329.373,215.042 329.276,216.47 329.208,217.877 329.169,219.265 329.157,220.633 329.171,221.982 329.211,223.311 329.275,224.62 329.364,225.91 \n",
       "  329.476,227.18 329.611,228.431 329.769,229.661 329.949,230.872 330.152,232.063 330.377,233.233 330.623,234.383 330.892,235.513 331.183,236.621 331.496,237.709 \n",
       "  331.831,238.775 332.189,239.82 332.571,240.843 332.976,241.844 333.405,242.822 333.859,243.777 334.338,244.708 334.843,245.616 335.375,246.499 335.935,247.357 \n",
       "  336.523,248.189 337.14,248.994 337.788,249.773 338.467,250.523 339.179,251.245 339.925,251.936 340.706,252.597 341.523,253.225 342.378,253.82 343.273,254.381 \n",
       "  344.208,254.905 345.186,255.392 346.208,255.839 347.276,256.245 348.392,256.608 349.557,256.926 350.773,257.196 352.043,257.416 353.368,257.583 354.75,257.694 \n",
       "  356.191,257.747 357.693,257.738 359.259,257.662 360.891,257.518 362.59,257.3 364.358,257.003 366.197,256.625 368.11,256.158 370.098,255.599 372.162,254.941 \n",
       "  374.304,254.179 376.525,253.306 378.827,252.316 381.209,251.202 383.672,249.956 386.215,248.572 388.839,247.042 391.542,245.357 394.321,243.51 397.175,241.493 \n",
       "  400.099,239.298 403.089,236.917 406.14,234.342 409.246,231.567 412.397,228.584 415.585,225.389 418.799,221.976 422.027,218.341 425.254,214.484 428.465,210.405 \n",
       "  431.642,206.104 434.765,201.589 437.814,196.865 440.765,191.945 443.594,186.844 446.274,181.579 448.779,176.174 451.08,170.655 453.148,165.055 454.955,159.409 \n",
       "  456.473,153.757 457.673,148.144 458.531,142.615 459.023,137.222 459.129,132.016 458.833,127.048 458.122,122.372 456.989,118.036 455.433,114.087 453.458,110.568 \n",
       "  451.072,107.515 448.29,104.957 445.135,102.916 441.631,101.404 437.809,100.425 433.703,99.9734 429.349,100.036 424.787,100.59 420.056,101.606 415.197,103.05 \n",
       "  410.25,104.88 405.251,107.055 400.237,109.527 395.242,112.252 390.294,115.184 385.422,118.28 380.648,121.498 375.992,124.801 371.47,128.155 367.097,131.53 \n",
       "  362.882,134.899 358.833,138.242 354.954,141.539 351.249,144.776 347.718,147.943 344.361,151.032 341.175,154.036 338.157,156.952 335.302,159.78 332.607,162.519 \n",
       "  330.063,165.17 327.667,167.737 325.41,170.221 323.287,172.627 321.29,174.957 319.413,177.217 317.649,179.411 315.99,181.541 314.431,183.614 312.964,185.631 \n",
       "  311.584,187.597 310.283,189.515 309.056,191.389 307.898,193.22 306.801,195.013 305.762,196.768 304.775,198.49 303.835,200.178 302.937,201.835 302.078,203.463 \n",
       "  301.251,205.063 300.454,206.636 299.683,208.182 298.934,209.703 298.203,211.2 297.487,212.673 296.784,214.122 296.089,215.547 295.399,216.95 294.713,218.33 \n",
       "  294.028,219.687 293.341,221.021 292.649,222.332 291.951,223.62 291.243,224.884 290.525,226.125 289.793,227.342 289.046,228.534 288.282,229.701 287.5,230.843 \n",
       "  286.696,231.958 285.87,233.047 285.019,234.108 284.143,235.14 283.238,236.143 282.305,237.115 281.34,238.055 280.343,238.963 279.312,239.836 278.245,240.674 \n",
       "  277.142,241.474 275.999,242.236 274.817,242.956 273.594,243.634 272.328,244.268 271.019,244.854 269.664,245.39 268.263,245.874 266.816,246.303 265.32,246.674 \n",
       "  263.775,246.984 262.18,247.229 260.535,247.406 258.84,247.51 257.094,247.538 255.297,247.486 253.449,247.348 251.552,247.12 249.605,246.798 247.611,246.375 \n",
       "  245.569,245.847 243.484,245.207 241.356,244.451 239.189,243.573 236.986,242.566 234.752,241.425 232.49,240.145 230.207,238.719 227.907,237.142 225.599,235.409 \n",
       "  223.289,233.516 220.986,231.458 218.699,229.232 216.437,226.836 214.213,224.267 212.037,221.526 209.921,218.614 207.88,215.532 205.925,212.286 204.073,208.881 \n",
       "  202.337,205.325 200.732,201.628 199.273,197.803 197.976,193.864 196.854,189.828 195.922,185.716 195.193,181.547 194.679,177.347 194.391,173.14 194.339,168.954 \n",
       "  194.529,164.818 194.967,160.759 195.655,156.809 196.596,152.997 197.787,149.351 199.223,145.9 200.897,142.669 202.802,139.682 204.923,136.959 207.249,134.518 \n",
       "  209.763,132.374 212.448,130.537 215.285,129.014 218.254,127.807 221.335,126.915 224.509,126.334 227.753,126.056 231.048,126.07 234.375,126.363 237.714,126.918 \n",
       "  241.049,127.719 244.362,128.746 247.64,129.981 250.868,131.404 254.034,132.995 257.129,134.734 260.142,136.603 263.067,138.584 265.897,140.659 268.627,142.814 \n",
       "  271.254,145.032 273.774,147.301 276.187,149.609 278.491,151.945 280.686,154.3 282.773,156.663 284.754,159.03 286.63,161.392 288.403,163.745 290.076,166.083 \n",
       "  291.652,168.404 293.133,170.704 294.524,172.979 295.827,175.229 297.047,177.451 298.185,179.644 299.247,181.808 300.235,183.94 301.153,186.043 302.005,188.113 \n",
       "  302.793,190.153 303.521,192.162 304.192,194.14 304.81,196.087 305.376,198.004 305.894,199.891 306.366,201.749 306.795,203.578 307.184,205.378 307.534,207.15 \n",
       "  307.848,208.896 308.128,210.614 308.375,212.306 308.592,213.973 308.78,215.614 308.941,217.23 309.075,218.823 309.185,220.391 309.272,221.937 309.336,223.46 \n",
       "  309.379,224.96 309.401,226.439 309.404,227.897 309.388,229.333 309.354,230.749 309.302,232.146 309.233,233.522 309.148,234.879 309.046,236.217 308.928,237.537 \n",
       "  308.794,238.838 308.644,240.122 308.479,241.387 308.298,242.636 308.102,243.867 307.89,245.082 307.662,246.281 307.419,247.463 307.158,248.629 306.882,249.779 \n",
       "  306.588,250.914 306.278,252.034 305.949,253.138 305.602,254.227 305.237,255.302 304.852,256.361 304.447,257.406 304.021,258.436 303.573,259.452 303.104,260.453 \n",
       "  302.611,261.439 302.094,262.411 301.551,263.369 300.983,264.311 300.387,265.238 299.763,266.151 299.109,267.048 298.424,267.929 297.707,268.794 296.956,269.643 \n",
       "  296.17,270.474 295.347,271.289 294.486,272.085 293.584,272.862 292.641,273.619 291.653,274.356 290.621,275.071 289.54,275.763 288.41,276.43 287.228,277.072 \n",
       "  285.992,277.686 284.7,278.271 283.349,278.824 281.937,279.344 280.461,279.827 278.92,280.271 277.31,280.672 275.63,281.027 273.876,281.333 272.046,281.585 \n",
       "  270.137,281.779 268.148,281.909 266.075,281.97 263.917,281.956 261.672,281.86 259.337,281.676 256.911,281.396 254.393,281.01 251.781,280.511 249.076,279.888 \n",
       "  246.277,279.131 243.384,278.23 240.4,277.172 237.326,275.944 234.165,274.534 230.921,272.928 227.6,271.112 224.208,269.071 220.753,266.791 217.245,264.256 \n",
       "  213.695,261.451 210.117,258.363 206.526,254.978 202.94,251.282 199.378,247.266 195.863,242.921 192.419,238.239 189.073,233.218 185.854,227.86 182.794,222.168 \n",
       "  179.924,216.154 177.28,209.834 174.896,203.23 172.809,196.372 171.053,189.296 169.662,182.046 168.669,174.673 168.104,167.235 167.991,159.796 168.352,152.424 \n",
       "  169.202,145.192 170.551,138.176 172.4,131.45 174.744,125.088 177.571,119.16 180.859,113.73 184.583,108.853 188.709,104.574 193.197,100.93 198.003,97.9413 \n",
       "  203.082,95.6189 208.382,93.9603 213.855,92.951 219.451,92.566 225.121,92.7704 230.822,93.522 236.51,94.7725 242.148,96.4695 247.702,98.5585 253.142,100.985 \n",
       "  258.443,103.694 263.586,106.634 268.555,109.756 273.336,113.016 277.922,116.374 282.306,119.793 286.487,123.242 290.464,126.695 294.239,130.129 297.814,133.525 \n",
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       "  356.982,212.187 357.904,212.942 358.847,213.647 359.814,214.301 360.805,214.903 361.822,215.453 362.866,215.949 363.94,216.391 365.043,216.775 366.177,217.102 \n",
       "  367.343,217.37 368.542,217.576 369.775,217.72 371.042,217.799 372.343,217.812 373.681,217.756 375.053,217.63 376.461,217.431 377.905,217.157 379.384,216.806 \n",
       "  380.898,216.376 382.447,215.864 384.028,215.268 385.642,214.586 387.287,213.816 388.96,212.956 390.661,212.002 392.387,210.955 394.134,209.812 395.901,208.571 \n",
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       "  415.278,188.442 416.874,186.069 418.409,183.624 419.875,181.114 421.262,178.548 422.56,175.936 423.761,173.288 424.855,170.616 425.833,167.931 426.685,165.248 \n",
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      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using Plots\n",
    "\n",
    "# 関数をそれぞれ次にように定義する．\n",
    "function f1(y1, y2)\n",
    "    return -10 * y1+ 10 * y2\n",
    "end\n",
    "\n",
    "function f2(y1, y2, y3)\n",
    "    return -y1*y3+28*y1-y2\n",
    "end\n",
    "\n",
    "function f3(y1, y2, y3)\n",
    "    return y1*y2- (8/3)*y3\n",
    "end\n",
    "\n",
    "n = 10000\n",
    "\n",
    "#刻み幅\n",
    "h = 0.005\n",
    "\n",
    "y1 = Float64[]\n",
    "y2 = Float64[]\n",
    "y3 = Float64[]\n",
    "\n",
    "#初期値\n",
    "push!(y1, 3)\n",
    "push!(y2, 10)\n",
    "push!(y3, 45)\n",
    "\n",
    "for i in 1:n\n",
    "    if i < n\n",
    "        push!(y1, y1[i] + h*f1(y1[i],y2[i]))\n",
    "        push!(y2, y2[i] + h*f2(y1[i],y2[i],y3[i]))\n",
    "        push!(y3, y3[i] + h*f3(y1[i],y2[i],y3[i]))\n",
    "    end\n",
    "end\n",
    "plot(y1,y2,y3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
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       "  219.978,117.321 223.74,117.24 227.548,117.523 231.377,118.146 235.204,119.086 239.007,120.313 242.766,121.799 246.466,123.517 250.089,125.436 253.623,127.53 \n",
       "  257.058,129.771 260.384,132.135 263.593,134.597 266.681,137.138 269.644,139.737 272.478,142.377 275.184,145.043 277.761,147.722 280.21,150.402 282.533,153.074 \n",
       "  284.732,155.729 286.811,158.362 288.772,160.966 290.62,163.537 292.36,166.071 293.994,168.567 295.529,171.022 296.968,173.436 298.317,175.806 299.579,178.133 \n",
       "  300.76,180.418 301.865,182.659 302.897,184.858 303.861,187.014 304.762,189.13 305.603,191.206 306.388,193.241 307.122,195.239 307.808,197.198 308.449,199.121 \n",
       "  309.05,201.008 309.612,202.86 310.139,204.679 310.635,206.464 311.101,208.216 311.541,209.938 311.956,211.628 312.35,213.289 312.724,214.92 313.08,216.522 \n",
       "  313.421,218.097 313.748,219.644 314.063,221.165 314.368,222.659 314.665,224.127 314.954,225.57 315.237,226.989 315.516,228.383 315.792,229.753 316.066,231.099 \n",
       "  316.34,232.422 316.613,233.722 316.889,234.999 317.166,236.254 317.448,237.486 317.733,238.697 318.025,239.886 318.322,241.053 318.627,242.199 318.941,243.323 \n",
       "  319.263,244.426 319.595,245.507 319.939,246.567 320.294,247.606 320.662,248.624 321.044,249.62 321.44,250.595 321.852,251.547 322.281,252.479 322.726,253.387 \n",
       "  323.191,254.274 323.675,255.138 324.18,255.979 324.706,256.796 325.256,257.59 325.829,258.359 326.428,259.103 327.053,259.822 327.707,260.514 328.389,261.179 \n",
       "  329.103,261.815 329.848,262.423 330.627,263.001 331.442,263.547 332.293,264.061 333.184,264.541 334.114,264.985 335.087,265.392 336.104,265.761 337.167,266.088 \n",
       "  338.279,266.373 339.44,266.612 340.654,266.803 341.922,266.943 343.248,267.03 344.632,267.06 346.077,267.03 347.586,266.936 349.161,266.773 350.805,266.539 \n",
       "  352.519,266.227 354.306,265.833 356.168,265.352 358.108,264.778 360.127,264.104 362.227,263.325 364.41,262.432 366.678,261.42 369.031,260.279 371.471,259.002 \n",
       "  373.997,257.581 376.61,256.006 379.31,254.268 382.094,252.358 384.962,250.266 387.909,247.982 390.932,245.496 394.026,242.799 397.185,239.882 400.401,236.736 \n",
       "  403.665,233.352 406.966,229.724 410.293,225.846 413.629,221.715 416.96,217.327 420.266,212.684 423.527,207.79 426.72,202.651 429.821,197.278 432.802,191.686 \n",
       "  435.635,185.895 438.289,179.93 440.734,173.821 442.937,167.604 444.865,161.321 446.486,155.019 447.769,148.749 448.686,142.568 449.209,136.536 449.315,130.714 \n",
       "  448.986,125.167 448.208,119.956 446.973,115.143 445.28,110.783 443.135,106.927 440.548,103.618 437.539,100.888 434.133,98.7626 430.361,97.2524 426.258,96.3584 \n",
       "  421.865,96.0699 417.224,96.3652 412.379,97.2129 407.377,98.5731 402.261,100.399 397.076,102.639 391.863,105.239 386.659,108.141 381.5,111.292 376.416,114.636 \n",
       "  371.434,118.123 366.577,121.706 361.864,125.345 357.309,129.001 352.924,132.644 348.716,136.247 344.693,139.789 340.855,143.254 337.204,146.627 333.738,149.902 \n",
       "  330.455,153.071 327.35,156.133 324.419,159.086 321.656,161.932 319.053,164.672 316.604,167.312 314.302,169.854 312.139,172.304 310.108,174.666 308.2,176.947 \n",
       "  306.41,179.151 304.728,181.284 303.148,183.35 301.663,185.354 300.266,187.301 298.95,189.194 297.708,191.038 296.535,192.835 295.425,194.589 294.372,196.303 \n",
       "  293.371,197.978 292.416,199.618 291.502,201.224 290.625,202.798 289.781,204.34 288.965,205.853 288.173,207.338 287.401,208.794 286.646,210.223 285.905,211.626 \n",
       "  285.173,213.002 284.448,214.352 283.728,215.675 283.008,216.973 282.287,218.245 281.563,219.49 280.832,220.709 280.092,221.9 279.341,223.064 278.578,224.2 \n",
       "  277.8,225.307 277.004,226.385 276.191,227.432 275.356,228.448 274.5,229.432 273.62,230.383 272.714,231.3 271.782,232.181 270.821,233.025 269.831,233.831 \n",
       "  268.81,234.596 267.757,235.32 266.67,236.001 265.549,236.636 264.392,237.224 263.199,237.762 261.968,238.248 260.699,238.68 259.391,239.054 258.044,239.369 \n",
       "  256.657,239.62 255.23,239.806 253.762,239.923 252.254,239.967 250.707,239.934 249.12,239.822 247.493,239.626 245.829,239.341 244.129,238.965 242.393,238.493 \n",
       "  240.624,237.92 238.824,237.242 236.995,236.455 235.142,235.554 233.266,234.536 231.373,233.395 229.466,232.129 227.551,230.733 225.633,229.204 223.719,227.539 \n",
       "  221.814,225.736 219.927,223.794 218.066,221.71 216.238,219.485 214.452,217.12 212.719,214.617 211.048,211.978 209.45,209.208 207.935,206.313 206.513,203.3 \n",
       "  205.197,200.177 203.998,196.957 202.925,193.65 201.99,190.27 201.204,186.834 200.575,183.358 200.112,179.86 199.824,176.362 199.717,172.882 199.797,169.444 \n",
       "  200.068,166.069 200.532,162.78 201.191,159.6 202.042,156.55 203.085,153.652 204.313,150.925 205.723,148.387 207.304,146.056 209.049,143.945 210.946,142.066 \n",
       "  212.984,140.429 215.15,139.04 217.429,137.902 219.807,137.017 222.269,136.383 224.801,135.996 227.387,135.85 230.012,135.936 232.662,136.244 235.324,136.763 \n",
       "  237.984,137.48 240.63,138.38 243.251,139.45 245.836,140.674 248.376,142.039 250.864,143.53 253.291,145.133 255.651,146.833 257.94,148.618 260.152,150.477 \n",
       "  262.285,152.396 264.335,154.366 266.301,156.377 268.181,158.421 269.975,160.488 271.683,162.573 273.305,164.669 274.841,166.769 276.293,168.87 277.663,170.967 \n",
       "  278.952,173.056 280.161,175.134 281.293,177.198 282.351,179.246 283.336,181.276 284.251,183.287 285.098,185.276 285.88,187.244 286.598,189.189 287.257,191.11 \n",
       "  287.856,193.007 288.4,194.88 288.89,196.729 289.329,198.552 289.717,200.351 290.059,202.125 290.354,203.874 290.605,205.599 290.814,207.299 290.982,208.974 \n",
       "  291.111,210.625 291.202,212.252 291.256,213.855 291.274,215.434 291.258,216.989 291.208,218.521 291.125,220.03 291.01,221.516 290.863,222.978 290.686,224.418 \n",
       "  290.478,225.835 290.239,227.23 289.971,228.601 289.673,229.95 289.345,231.277 288.988,232.581 288.601,233.862 288.184,235.121 287.736,236.356 287.258,237.568 \n",
       "  286.749,238.757 286.209,239.922 285.637,241.064 285.032,242.18 284.394,243.272 283.722,244.339 283.016,245.379 282.273,246.393 281.494,247.379 280.678,248.337 \n",
       "  279.823,249.265 278.928,250.163 277.992,251.03 277.015,251.863 275.994,252.662 274.928,253.425 273.817,254.15 272.659,254.835 271.452,255.478 270.195,256.078 \n",
       "  268.888,256.63 267.528,257.133 266.114,257.584 264.645,257.979 263.12,258.316 261.538,258.589 259.898,258.796 258.198,258.931 256.438,258.991 254.618,258.969 \n",
       "  252.736,258.862 250.794,258.663 248.79,258.366 246.725,257.965 244.601,257.454 242.418,256.825 240.177,256.07 237.882,255.183 235.535,254.156 233.139,252.981 \n",
       "  230.698,251.649 228.217,250.153 225.702,248.483 223.159,246.634 220.597,244.596 218.023,242.362 215.447,239.927 212.879,237.284 210.333,234.428 207.821,231.357 \n",
       "  205.356,228.068 202.955,224.561 200.634,220.838 198.409,216.904 196.3,212.765 194.325,208.432 192.504,203.918 190.855,199.238 189.399,194.414 188.154,189.468 \n",
       "  187.14,184.428 186.372,179.323 185.868,174.187 185.641,169.057 185.702,163.971 186.06,158.97 186.722,154.094 187.69,149.385 188.963,144.884 190.537,140.63 \n",
       "  192.404,136.66 194.552,133.008 196.967,129.702 199.632,126.767 202.524,124.223 205.622,122.081 208.901,120.35 212.334,119.031 215.896,118.119 219.56,117.605 \n",
       "  223.298,117.475 227.085,117.709 230.896,118.285 234.708,119.179 238.499,120.363 242.25,121.809 245.944,123.489 249.564,125.374 253.097,127.436 256.533,129.649 \n",
       "  259.861,131.988 263.074,134.429 266.168,136.95 269.137,139.533 271.979,142.159 274.693,144.814 277.279,147.483 279.737,150.156 282.07,152.823 284.278,155.474 \n",
       "  286.367,158.104 288.338,160.706 290.195,163.277 291.944,165.812 293.587,168.309 295.131,170.765 296.578,173.181 297.935,175.554 299.204,177.885 300.393,180.172 \n",
       "  301.503,182.417 302.541,184.62 303.511,186.781 304.416,188.901 305.262,190.981 306.051,193.022 306.788,195.024 307.477,196.988 308.12,198.916 308.722,200.808 \n",
       "  309.286,202.665 309.814,204.488 310.309,206.278 310.775,208.036 311.214,209.762 311.627,211.458 312.019,213.124 312.391,214.76 312.744,216.368 313.081,217.948 \n",
       "  313.405,219.501 313.715,221.027 314.015,222.527 314.306,224.001 314.589,225.449 314.866,226.874 315.138,228.273 315.406,229.649 315.672,231.002 315.937,232.331 \n",
       "  316.201,233.637 316.467,234.921 316.734,236.183 317.004,237.422 317.278,238.64 317.557,239.836 317.842,241.011 318.133,242.164 318.432,243.297 318.739,244.408 \n",
       "  319.056,245.498 319.382,246.567 319.72,247.616 320.07,248.643 320.432,249.65 320.808,250.635 321.199,251.599 321.606,252.542 322.028,253.464 322.469,254.363 \n",
       "  322.927,255.241 323.406,256.096 323.905,256.929 324.425,257.738 324.968,258.524 325.536,259.286 326.128,260.024 326.747,260.736 327.394,261.422 328.07,262.082 \n",
       "  328.776,262.713 329.515,263.317 330.287,263.89 331.094,264.433 331.938,264.944 332.82,265.421 333.743,265.864 334.708,266.27 335.717,266.637 336.772,266.964 \n",
       "  337.874,267.249 339.027,267.49 340.232,267.682 341.492,267.826 342.808,267.916 344.183,267.95 345.619,267.925 347.119,267.837 348.685,267.681 350.32,267.454 \n",
       "  352.025,267.151 353.803,266.767 355.657,266.296 357.588,265.734 359.599,265.073 361.692,264.307 363.868,263.429 366.13,262.433 368.478,261.309 370.913,260.05 \n",
       "  373.436,258.648 376.047,257.093 378.745,255.376 381.53,253.487 384.4,251.417 387.351,249.155 390.381,246.692 393.484,244.018 396.654,241.124 399.885,237.999 \n",
       "  403.167,234.636 406.49,231.027 409.841,227.166 413.207,223.049 416.571,218.673 419.915,214.037 423.218,209.146 426.459,204.004 429.611,198.622 432.649,193.014 \n",
       "  435.544,187.199 438.265,181.202 440.78,175.051 443.056,168.783 445.062,162.438 446.763,156.062 448.128,149.709 449.127,143.434 449.731,137.298 449.917,131.364 \n",
       "  449.665,125.695 448.96,120.357 447.793,115.412 446.16,110.917 444.067,106.926 441.524,103.484 438.55,100.625 435.167,98.3768 431.408,96.7527 427.308,95.7553 \n",
       "  422.907,95.3753 418.247,95.5924 413.375,96.3756 408.337,97.6855 403.178,99.4752 397.942,101.692 392.673,104.281 387.409,107.185 382.187,110.346 377.037,113.709 \n",
       "  371.988,117.223 367.064,120.838 362.283,124.512 357.661,128.207 353.211,131.89 348.941,135.533 344.856,139.115 340.96,142.617 337.253,146.028 333.734,149.337 \n",
       "  330.4,152.538 327.248,155.629 324.271,158.609 321.465,161.479 318.822,164.24 316.335,166.898 313.998,169.455 311.802,171.918 309.739,174.292 307.803,176.582 \n",
       "  305.984,178.792 304.277,180.93 302.673,182.999 301.165,185.005 299.747,186.952 298.411,188.845 297.151,190.686 295.96,192.48 294.833,194.231 293.764,195.939 \n",
       "  292.748,197.609 291.778,199.243 290.851,200.842 289.961,202.408 289.104,203.943 288.276,205.447 287.472,206.922 286.689,208.369 285.923,209.789 285.171,211.181 \n",
       "  284.429,212.546 283.694,213.885 282.963,215.197 282.233,216.483 281.502,217.742 280.768,218.974 280.027,220.179 279.277,221.357 278.517,222.506 277.743,223.627 \n",
       "  276.955,224.718 276.15,225.78 275.327,226.81 274.483,227.809 273.617,228.774 272.727,229.706 271.812,230.603 270.871,231.464 269.901,232.286 268.902,233.069 \n",
       "  267.872,233.812 266.81,234.511 265.715,235.167 264.586,235.775 263.421,236.336 262.221,236.845 260.984,237.302 259.709,237.702 258.396,238.045 257.045,238.326 \n",
       "  255.655,238.543 254.226,238.693 252.757,238.773 251.25,238.778 249.705,238.706 248.121,238.553 246.5,238.315 244.844,237.989 243.153,237.569 241.429,237.052 \n",
       "  239.675,236.434 237.892,235.711 236.084,234.878 234.253,233.932 232.405,232.868 230.542,231.683 228.669,230.373 226.792,228.934 224.916,227.365 223.048,225.662 \n",
       "  221.194,223.823 219.363,221.849 217.561,219.737 215.797,217.488 214.081,215.105 212.421,212.589 210.828,209.945 209.311,207.177 207.882,204.292 206.55,201.297 \n",
       "  205.326,198.203 204.222,195.021 203.246,191.762 202.41,188.442 201.723,185.076 201.193,181.681 200.828,178.276 200.637,174.881 200.623,171.515 200.793,168.2 \n",
       "  201.149,164.958 201.693,161.81 202.424,158.777 203.342,155.881 204.442,153.14 205.721,150.574 207.17,148.198 208.783,146.027 210.549,144.075 212.457,142.352 \n",
       "  214.496,140.864 216.654,139.618 218.915,138.616 221.266,137.857 223.694,137.34 226.182,137.06 228.718,137.009 231.286,137.18 233.874,137.561 236.468,138.142 \n",
       "  239.056,138.909 241.627,139.85 244.17,140.951 246.675,142.198 249.134,143.576 251.54,145.072 253.885,146.673 256.163,148.365 258.371,150.137 260.503,151.977 \n",
       "  262.558,153.874 264.531,155.819 266.422,157.802 268.23,159.814 269.954,161.85 271.593,163.901 273.149,165.961 274.622,168.027 276.013,170.092 277.324,172.153 \n",
       "  278.557,174.206 279.712,176.249 280.793,178.278 281.8,180.291 282.737,182.288 283.606,184.265 284.409,186.222 285.148,188.158 285.825,190.071 286.443,191.962 \n",
       "  287.004,193.83 287.511,195.674 287.964,197.494 288.366,199.29 288.72,201.061 289.026,202.808 289.288,204.531 289.505,206.23 289.68,207.904 289.815,209.554 \n",
       "  289.91,211.18 289.967,212.783 289.988,214.361 289.972,215.916 289.921,217.447 289.836,218.955 289.717,220.439 289.566,221.9 289.383,223.338 289.167,224.753 \n",
       "  288.92,226.145 288.642,227.513 288.333,228.859 287.993,230.181 287.622,231.48 287.219,232.756 286.786,234.008 286.321,235.236 285.824,236.441 285.296,237.621 \n",
       "  284.734,238.776 284.14,239.906 283.511,241.011 282.849,242.09 282.151,243.141 281.417,244.166 280.647,245.162 279.838,246.129 278.992,247.065 278.105,247.971 \n",
       "  277.178,248.844 276.209,249.683 275.197,250.487 274.14,251.254 273.039,251.982 271.891,252.67 270.695,253.316 269.45,253.916 268.155,254.469 266.808,254.972 \n",
       "  265.409,255.421 263.956,255.815 262.449,256.148 260.885,256.419 259.265,256.622 257.587,256.753 255.851,256.808 254.056,256.783 252.203,256.671 250.291,256.468 \n",
       "  248.32,256.168 246.291,255.764 244.205,255.25 242.063,254.619 239.867,253.865 237.619,252.98 235.323,251.957 232.981,250.789 230.598,249.467 228.178,247.984 \n",
       "  225.728,246.333 223.254,244.506 220.763,242.496 218.264,240.297 215.767,237.903 213.281,235.308 210.819,232.509 208.393,229.503 206.017,226.289 203.705,222.867 \n",
       "  201.474,219.24 199.339,215.412 197.319,211.392 195.431,207.188 193.693,202.815 192.124,198.288 190.742,193.627 189.565,188.854 188.61,183.996 187.894,179.081 \n",
       "  187.431,174.141 187.233,169.211 187.312,164.327 187.675,159.528 188.328,154.851 189.274,150.336 190.51,146.021 192.033,141.943 193.835,138.136 195.906,134.632 \n",
       "  198.231,131.457 200.793,128.635 203.574,126.182 206.551,124.113 209.702,122.434 213.003,121.147 216.427,120.247 219.95,119.727 223.547,119.572 227.194,119.767 \n",
       "  230.866,120.29 234.542,121.119 238.201,122.228 241.824,123.592 245.395,125.184 248.899,126.977 252.322,128.946 255.653,131.065 258.884,133.309 262.006,135.658 \n",
       "  265.015,138.091 267.905,140.588 270.675,143.132 273.322,145.71 275.846,148.307 278.247,150.913 280.527,153.517 282.687,156.111 284.731,158.689 286.661,161.244 \n",
       "  288.48,163.771 290.193,166.268 291.804,168.73 293.316,171.156 294.735,173.545 296.063,175.894 297.307,178.204 298.469,180.474 299.555,182.704 300.568,184.895 \n",
       "  301.513,187.046 302.394,189.158 303.215,191.232 303.979,193.268 304.691,195.268 305.353,197.232 305.97,199.16 306.543,201.055 307.077,202.915 307.575,204.743 \n",
       "  308.038,206.54 308.47,208.305 308.874,210.04 309.25,211.745 309.603,213.421 309.933,215.069 310.243,216.69 310.535,218.284 310.81,219.851 311.07,221.393 \n",
       "  311.317,222.91 311.552,224.402 311.776,225.87 311.992,227.314 312.198,228.736 312.398,230.134 312.593,231.511 312.782,232.865 312.967,234.198 313.15,235.51 \n",
       "  313.33,236.801 313.509,238.072 313.688,239.322 313.867,240.553 314.047,241.764 314.228,242.956 314.412,244.129 314.599,245.283 314.789,246.418 314.984,247.535 \n",
       "  315.184,248.634 315.389,249.714 315.601,250.777 315.819,251.822 316.044,252.849 316.277,253.859 316.519,254.851 316.77,255.825 317.031,256.782 317.302,257.722 \n",
       "  317.584,258.644 317.879,259.548 318.185,260.435 318.505,261.305 318.839,262.157 319.188,262.991 319.552,263.807 319.932,264.605 320.33,265.384 320.746,266.145 \n",
       "  321.181,266.887 321.637,267.609 322.113,268.312 322.612,268.995 323.133,269.657 323.68,270.299 324.252,270.918 324.851,271.516 325.479,272.09 326.136,272.64 \n",
       "  326.824,273.166 327.546,273.666 328.301,274.14 329.093,274.585 329.923,275.002 330.792,275.388 331.702,275.742 332.656,276.062 333.656,276.347 334.703,276.595 \n",
       "  335.8,276.803 336.949,276.969 338.152,277.091 339.413,277.166 340.733,277.19 342.115,277.161 343.562,277.075 345.076,276.929 346.66,276.717 348.317,276.436 \n",
       "  350.05,276.08 351.861,275.644 353.754,275.124 355.73,274.511 357.794,273.801 359.946,272.986 362.19,272.057 364.528,271.008 366.962,269.83 369.494,268.513 \n",
       "  372.124,267.048 374.854,265.425 377.683,263.633 380.612,261.66 383.64,259.496 386.764,257.129 389.981,254.547 393.288,251.737 396.678,248.688 400.145,245.388 \n",
       "  403.679,241.827 407.272,237.993 410.908,233.878 414.575,229.475 418.255,224.777 421.929,219.783 425.573,214.493 429.163,208.911 432.672,203.045 436.07,196.909 \n",
       "  439.322,190.521 442.395,183.907 445.252,177.099 447.853,170.135 450.16,163.061 452.132,155.931 453.732,148.804 454.923,141.747 455.67,134.831 455.942,128.132 \n",
       "  455.716,121.728 454.97,115.696 453.695,110.113 451.884,105.05 449.543,100.572 446.684,96.7337 443.328,93.5798 439.506,91.1406 435.254,89.4323 430.616,88.4562 \n",
       "  425.641,88.1985 420.382,88.6313 414.892,89.7137 409.228,91.394 403.444,93.6118 397.593,96.3005 391.724,99.3901 385.881,102.81 380.107,106.489 374.435,110.362 \n",
       "  368.897,114.366 363.516,118.445 358.313,122.55 353.304,126.639 348.498,130.675 343.904,134.63 339.526,138.482 335.363,142.214 331.416,145.815 327.68,149.277 \n",
       "  324.151,152.597 320.823,155.774 317.688,158.81 314.738,161.71 311.966,164.478 309.362,167.121 306.918,169.645 304.624,172.058 302.471,174.367 300.452,176.579 \n",
       "  298.556,178.702 296.776,180.741 295.103,182.703 293.53,184.594 292.049,186.42 290.651,188.185 289.332,189.894 288.082,191.551 286.897,193.16 285.77,194.723 \n",
       "  284.696,196.244 283.668,197.725 282.681,199.168 281.731,200.574 280.813,201.946 279.922,203.285 279.055,204.591 278.207,205.865 277.374,207.108 276.553,208.32 \n",
       "  275.742,209.502 274.936,210.653 274.132,211.773 273.329,212.863 272.522,213.921 271.711,214.947 270.893,215.941 270.065,216.902 269.225,217.828 268.372,218.721 \n",
       "  267.504,219.577 266.62,220.397 265.717,221.179 264.794,221.922 263.85,222.624 262.884,223.284 261.895,223.901 260.882,224.472 259.844,224.997 258.78,225.474 \n",
       "  257.69,225.9 256.573,226.274 255.429,226.593 254.258,226.856 253.059,227.06 251.833,227.203 250.58,227.283 249.301,227.296 247.996,227.242 246.665,227.117 \n",
       "  245.31,226.919 243.933,226.644 242.534,226.291 241.115,225.857 239.679,225.34 238.227,224.736 236.763,224.044 235.288,223.262 233.806,222.386 232.321,221.416 \n",
       "  230.836,220.35 229.356,219.187 227.884,217.924 226.427,216.563 224.987,215.102 223.573,213.543 222.188,211.885 220.838,210.131 219.531,208.283 218.273,206.343 \n",
       "  217.07,204.315 215.929,202.204 214.856,200.016 213.86,197.756 212.946,195.431 212.121,193.05 211.393,190.622 210.766,188.156 210.247,185.663 209.842,183.155 \n",
       "  209.555,180.643 209.39,178.14 209.352,175.659 209.442,173.214 209.663,170.818 210.016,168.484 210.501,166.227 211.118,164.059 211.863,161.993 212.736,160.04 \n",
       "  213.731,158.212 214.844,156.518 216.07,154.968 217.402,153.57 218.834,152.328 220.357,151.249 221.963,150.335 223.644,149.59 225.39,149.012 227.193,148.602 \n",
       "  229.043,148.357 230.931,148.274 232.847,148.349 234.783,148.576 236.729,148.949 238.678,149.461 240.622,150.104 242.553,150.87 244.463,151.752 246.347,152.74 \n",
       "  248.199,153.826 250.013,155.002 251.785,156.259 253.51,157.59 255.184,158.986 256.805,160.44 258.37,161.944 259.876,163.493 261.322,165.079 262.706,166.696 \n",
       "  264.028,168.34 265.286,170.006 266.481,171.687 267.612,173.381 268.68,175.083 269.684,176.79 270.626,178.499 271.507,180.207 272.326,181.91 273.085,183.608 \n",
       "  273.786,185.298 274.428,186.977 275.015,188.645 275.545,190.3 276.022,191.94 276.446,193.565 276.817,195.173 277.139,196.763 277.411,198.335 277.635,199.888 \n",
       "  277.812,201.42 277.943,202.932 278.028,204.423 278.07,205.893 278.068,207.34 278.024,208.764 277.938,210.165 277.811,211.542 277.644,212.895 277.436,214.224 \n",
       "  277.19,215.527 276.904,216.805 276.579,218.056 276.216,219.28 275.815,220.477 275.375,221.646 274.898,222.787 274.382,223.897 273.828,224.978 273.237,226.027 \n",
       "  272.606,227.044 271.938,228.028 271.23,228.979 270.484,229.894 269.698,230.772 268.873,231.613 268.008,232.415 267.103,233.175 266.157,233.894 265.17,234.569 \n",
       "  264.141,235.197 263.071,235.778 261.959,236.309 260.805,236.787 259.608,237.211 258.369,237.577 257.088,237.884 255.763,238.127 254.396,238.305 252.988,238.414 \n",
       "  251.537,238.451 250.045,238.413 248.513,238.295 246.942,238.094 245.332,237.806 243.686,237.428 242.005,236.955 240.291,236.384 238.546,235.709 236.774,234.928 \n",
       "  234.978,234.036 233.16,233.028 231.326,231.903 229.48,230.654 227.626,229.281 225.771,227.778 223.92,226.145 222.081,224.378 220.259,222.477 218.463,220.44 \n",
       "  216.701,218.268 214.982,215.962 213.314,213.524 211.708,210.956 210.173,208.265 208.72,205.455 207.358,202.534 206.099,199.51 204.953,196.393 203.93,193.196 \n",
       "  203.041,189.933 202.294,186.616 201.699,183.264 201.264,179.894 200.997,176.525 200.904,173.176 200.99,169.868 201.259,166.622 201.712,163.459 202.352,160.401 \n",
       "  203.176,157.469 204.182,154.681 205.367,152.057 206.724,149.614 208.246,147.367 209.925,145.331 211.75,143.515 213.709,141.929 215.792,140.58 217.984,139.47 \n",
       "  220.271,138.602 222.641,137.974 225.078,137.582 227.569,137.42 230.099,137.482 232.655,137.757 235.224,138.236 237.792,138.905 240.35,139.753 242.885,140.766 \n",
       "  245.387,141.93 247.848,143.232 250.26,144.657 252.616,146.193 254.908,147.827 257.133,149.545 259.285,151.337 261.362,153.192 263.36,155.099 265.277,157.049 \n",
       "  267.112,159.033 268.864,161.043 270.533,163.073 272.118,165.116 273.621,167.166 275.043,169.219 276.384,171.27 277.645,173.316 278.83,175.353 279.939,177.378 \n",
       "  280.975,179.39 281.94,181.385 282.835,183.362 283.663,185.321 284.427,187.258 285.129,189.175 285.77,191.069 286.353,192.941 286.88,194.789 287.354,196.614 \n",
       "  287.775,198.415 288.147,200.192 288.471,201.945 288.749,203.673 288.982,205.378 289.172,207.058 289.32,208.714 289.428,210.347 289.497,211.955 289.529,213.539 \n",
       "  289.524,215.1 289.483,216.637 289.407,218.151 289.297,219.641 289.154,221.108 288.978,222.551 288.769,223.972 288.529,225.368 288.256,226.742 287.953,228.093 \n",
       "  287.617,229.42 287.251,230.723 286.853,232.004 286.423,233.26 285.961,234.492 285.468,235.7 284.942,236.884 284.383,238.042 283.791,239.176 283.164,240.283 \n",
       "  282.504,241.364 281.808,242.418 281.075,243.444 280.306,244.442 279.499,245.41 278.654,246.348 277.768,247.254 276.842,248.127 275.874,248.967 274.864,249.77 \n",
       "  273.809,250.537 272.709,251.264 271.562,251.951 270.368,252.594 269.125,253.192 267.833,253.743 266.489,254.242 265.092,254.689 263.643,255.078 262.138,255.408 \n",
       "  260.579,255.674 258.963,255.872 257.291,255.999 255.561,256.049 253.773,256.017 251.927,255.9 250.023,255.691 248.061,255.384 246.042,254.974 243.967,254.454 \n",
       "  241.837,253.817 239.654,253.057 237.421,252.167 235.141,251.139 232.816,249.966 230.452,248.64 228.052,247.154 225.624,245.501 223.173,243.674 220.707,241.666 \n",
       "  218.234,239.47 215.765,237.081 213.309,234.494 210.877,231.705 208.484,228.713 206.141,225.515 203.864,222.114 201.668,218.511 199.57,214.711 197.586,210.724 \n",
       "  195.735,206.557 194.033,202.226 192.5,197.745 191.153,193.135 190.009,188.418 189.086,183.62 188.399,178.769 187.962,173.897 187.788,169.037 187.886,164.227 \n",
       "  188.264,159.502 188.928,154.901 189.879,150.461 191.116,146.221 192.635,142.216 194.427,138.479 196.483,135.04 198.789,131.927 201.327,129.161 204.079,126.759 \n",
       "  207.023,124.733 210.138,123.09 213.398,121.833 216.78,120.956 220.259,120.451 223.81,120.306 227.41,120.503 231.035,121.023 234.663,121.844 238.275,122.941 \n",
       "  241.852,124.288 245.377,125.86 248.837,127.631 252.217,129.575 255.507,131.667 258.699,133.885 261.784,136.206 264.758,138.611 267.615,141.081 270.353,143.599 \n",
       "  272.97,146.15 275.466,148.723 277.842,151.305 280.097,153.887 282.235,156.46 284.257,159.018 286.167,161.554 287.968,164.064 289.664,166.545 291.258,168.993 \n",
       "  292.755,171.406 294.158,173.783 295.473,176.121 296.703,178.421 297.853,180.683 298.926,182.905 299.927,185.088 300.861,187.233 301.73,189.34 302.54,191.409 \n",
       "  303.293,193.442 303.993,195.438 304.644,197.399 305.248,199.325 305.81,201.218 306.332,203.078 306.817,204.905 307.268,206.701 307.687,208.466 308.076,210.202 \n",
       "  308.439,211.908 308.777,213.586 309.092,215.236 309.386,216.858 309.661,218.455 309.918,220.025 310.16,221.57 310.388,223.09 310.603,224.586 310.806,226.058 \n",
       "  310.999,227.507 311.183,228.934 311.359,230.337 311.528,231.72 311.69,233.08 311.848,234.42 312.001,235.739 312.151,237.037 312.298,238.316 312.443,239.575 \n",
       "  312.587,240.814 312.73,242.035 312.873,243.237 313.017,244.42 313.162,245.585 313.308,246.733 313.457,247.862 313.608,248.974 313.763,250.069 313.921,251.146 \n",
       "  314.084,252.207 314.251,253.25 314.424,254.278 314.602,255.288 314.787,256.283 314.978,257.261 315.176,258.223 315.382,259.168 315.597,260.098 315.82,261.012 \n",
       "  316.053,261.91 316.295,262.792 316.548,263.658 316.812,264.508 317.088,265.342 317.376,266.16 317.677,266.962 317.992,267.748 318.321,268.518 318.666,269.271 \n",
       "  319.027,270.007 319.404,270.727 319.799,271.429 320.213,272.114 320.647,272.781 321.101,273.43 321.577,274.061 322.076,274.672 322.599,275.265 323.147,275.837 \n",
       "  323.721,276.388 324.324,276.919 324.955,277.427 325.617,277.913 326.311,278.374 327.039,278.811 327.802,279.223 328.602,279.607 329.442,279.963 330.322,280.289 \n",
       "  331.245,280.583 332.213,280.845 333.228,281.072 334.293,281.261 335.409,281.412 336.579,281.521 337.806,281.586 339.093,281.603 340.441,281.57 341.853,281.483 \n",
       "  343.334,281.339 344.884,281.133 346.508,280.861 348.208,280.519 349.987,280.101 351.849,279.601 353.795,279.014 355.83,278.332 357.956,277.55 360.177,276.659 \n",
       "  362.493,275.651 364.909,274.519 367.425,273.251 370.045,271.84 372.769,270.273 375.598,268.541 378.533,266.632 381.574,264.534 384.718,262.234 387.965,259.719 \n",
       "  391.311,256.978 394.751,253.996 398.28,250.76 401.889,247.259 405.57,243.479 409.311,239.411 413.098,235.043 416.916,230.368 420.745,225.381 424.564,220.079 \n",
       "  428.349,214.462 432.072,208.536 435.703,202.31 439.209,195.799 442.554,189.026 445.699,182.019 448.604,174.814 451.227,167.455 453.526,159.994 455.457,152.491 \n",
       "  456.98,145.013 458.055,137.634 458.646,130.433 458.722,123.495 458.259,116.903 457.237,110.743 455.648,105.096 453.491,100.037 450.773,95.6329 447.513,91.9385 \n",
       "  443.74,88.9953 439.487,86.8294 434.801,85.4503 429.731,84.8506 424.333,85.0066 418.665,85.8794 412.788,87.4171 406.76,89.5568 400.641,92.2275 394.485,95.3533 \n",
       "  388.342,98.856 382.259,102.658 376.275,106.685 370.425,110.866 364.736,115.138 359.232,119.445 353.931,123.738 348.844,127.977 343.981,132.127 339.346,136.164 \n",
       "  334.941,140.068 330.765,143.826 326.813,147.43 323.082,150.875 319.564,154.16 316.252,157.289 313.137,160.265 310.211,163.095 307.463,165.785 304.885,168.344 \n",
       "  302.467,170.779 300.2,173.098 298.073,175.311 296.077,177.424 294.205,179.446 292.446,181.383 290.793,183.243 289.238,185.03 287.772,186.752 286.388,188.413 \n",
       "  285.08,190.017 283.84,191.569 282.662,193.072 281.54,194.529 280.469,195.944 279.442,197.317 278.455,198.653 277.502,199.951 276.58,201.214 275.683,202.443 \n",
       "  274.809,203.638 273.952,204.8 273.109,205.93 272.278,207.028 271.455,208.093 270.636,209.127 269.819,210.128 269.002,211.096 268.182,212.031 267.357,212.933 \n",
       "  266.525,213.8 265.683,214.631 264.831,215.427 263.966,216.186 263.087,216.906 262.192,217.587 261.281,218.228 260.352,218.827 259.404,219.382 258.436,219.893 \n",
       "  257.448,220.358 256.439,220.775 255.409,221.143 254.356,221.46 253.282,221.724 252.186,221.933 251.067,222.086 249.927,222.18 248.766,222.213 247.584,222.184 \n",
       "  246.383,222.091 245.162,221.931 243.924,221.703 242.669,221.404 241.4,221.032 240.117,220.587 238.824,220.065 237.521,219.465 236.213,218.786 234.9,218.026 \n",
       "  233.588,217.183 232.278,216.258 230.974,215.249 229.68,214.155 228.4,212.977 227.139,211.715 225.9,210.369 224.688,208.941 223.509,207.432 222.368,205.844 \n",
       "  221.269,204.18 220.218,202.444 219.221,200.639 218.282,198.769 217.409,196.841 216.605,194.859 215.876,192.831 215.228,190.764 214.665,188.666 214.192,186.545 \n",
       "  213.813,184.41 213.533,182.27 213.354,180.137 213.28,178.02 213.313,175.929 213.454,173.875 213.705,171.87 214.066,169.923 214.537,168.045 215.116,166.246 \n",
       "  215.801,164.536 216.59,162.924 217.48,161.418 218.466,160.026 219.544,158.753 220.709,157.607 221.955,156.592 223.276,155.711 224.664,154.967 226.114,154.361 \n",
       "  227.617,153.895 229.167,153.566 230.756,153.375 232.376,153.317 234.021,153.391 235.683,153.592 237.355,153.916 239.031,154.357 240.703,154.909 242.365,155.567 \n",
       "  244.012,156.324 245.639,157.173 247.24,158.109 248.811,159.124 250.347,160.212 251.846,161.367 253.302,162.581 254.715,163.85 256.08,165.166 257.397,166.526 \n",
       "  258.662,167.922 259.876,169.35 261.035,170.806 262.141,172.284 263.191,173.782 264.186,175.294 265.125,176.818 266.008,178.35 266.836,179.886 267.609,181.425 \n",
       "  268.327,182.964 268.991,184.501 269.601,186.032 270.159,187.557 270.664,189.073 271.119,190.58 271.522,192.074 271.876,193.556 272.182,195.024 272.439,196.476 \n",
       "  272.65,197.912 272.814,199.331 272.933,200.731 273.008,202.112 273.038,203.472 273.025,204.812 272.97,206.131 272.873,207.427 272.734,208.699 272.555,209.948 \n",
       "  272.335,211.172 272.076,212.371 271.777,213.544 271.438,214.69 271.061,215.808 270.645,216.897 270.191,217.957 269.698,218.987 269.167,219.985 268.597,220.952 \n",
       "  267.99,221.884 267.344,222.783 266.661,223.645 265.939,224.471 265.179,225.258 264.381,226.006 263.544,226.712 262.67,227.376 261.757,227.995 260.805,228.568 \n",
       "  259.816,229.093 258.788,229.568 257.721,229.991 256.617,230.359 255.476,230.671 254.296,230.924 253.08,231.116 251.828,231.244 250.54,231.305 249.217,231.297 \n",
       "  247.86,231.216 246.47,231.06 245.049,230.826 243.598,230.511 242.119,230.112 240.614,229.625 239.085,229.048 237.535,228.377 235.968,227.611 234.385,226.745 \n",
       "  232.791,225.777 231.189,224.706 229.585,223.528 227.982,222.242 226.386,220.847 224.802,219.341 223.237,217.723 221.695,215.995 220.185,214.156 218.712,212.208 \n",
       "  217.285,210.153 215.91,207.995 214.596,205.737 213.35,203.384 212.18,200.942 211.095,198.418 210.103,195.821 209.211,193.16 208.427,190.445 207.759,187.687 \n",
       "  207.213,184.9 206.795,182.096 206.513,179.289 206.369,176.495 206.37,173.729 206.517,171.007 206.812,168.345 207.258,165.759 207.853,163.265 208.597,160.877 \n",
       "  209.487,158.611 210.519,156.48 211.688,154.497 212.989,152.673 214.415,151.018 215.957,149.54 217.608,148.246 219.356,147.139 221.194,146.224 223.11,145.501 \n",
       "  225.093,144.97 227.133,144.629 229.218,144.474 231.339,144.499 233.484,144.699 235.643,145.066 237.806,145.591 239.964,146.266 242.108,147.082 244.23,148.027 \n",
       "  246.323,149.093 248.38,150.269 250.394,151.544 252.36,152.909 254.274,154.355 256.131,155.872 257.928,157.451 259.661,159.084 261.329,160.764 262.93,162.482 \n",
       "  264.462,164.233 265.925,166.009 267.318,167.807 268.64,169.619 269.892,171.442 271.075,173.271 272.189,175.103 273.235,176.935 274.213,178.762 275.126,180.584 \n",
       "  275.975,182.396 276.76,184.198 277.484,185.988 278.148,187.763 278.753,189.523 279.302,191.267 279.795,192.993 280.234,194.7 280.62,196.388 280.956,198.055 \n",
       "  281.242,199.702 281.48,201.329 281.671,202.933 281.817,204.515 281.918,206.076 281.975,207.613 281.99,209.128 281.964,210.619 281.897,212.087 281.79,213.53 \n",
       "  281.644,214.95 281.459,216.346 281.237,217.717 280.976,219.062 280.678,220.383 280.343,221.678 279.972,222.946 279.563,224.188 279.118,225.404 278.636,226.591 \n",
       "  278.117,227.751 277.562,228.882 276.969,229.983 276.339,231.054 275.671,232.094 274.965,233.102 274.22,234.078 273.436,235.019 272.612,235.925 271.749,236.795 \n",
       "  270.844,237.626 269.899,238.419 268.911,239.17 267.881,239.879 266.807,240.543 265.69,241.16 264.528,241.728 263.321,242.245 262.069,242.709 260.771,243.116 \n",
       "  259.426,243.463 258.035,243.749 256.597,243.968 255.111,244.119 253.579,244.196 252,244.198 250.375,244.118 248.704,243.954 246.988,243.701 245.228,243.354 \n",
       "  243.426,242.909 241.583,242.36 239.701,241.703 237.784,240.933 235.834,240.044 233.854,239.032 231.849,237.892 229.823,236.618 227.78,235.207 225.727,233.653 \n",
       "  223.67,231.953 221.616,230.104 219.573,228.101 217.548,225.944 215.552,223.631 213.593,221.161 211.682,218.535 209.83,215.756 208.048,212.827 206.348,209.752 \n",
       "  204.743,206.539 203.245,203.197 201.867,199.735 200.622,196.167 199.521,192.506 198.578,188.77 197.803,184.976 197.208,181.145 196.803,177.299 196.595,173.461 \n",
       "  196.593,169.657 196.802,165.91 197.225,162.248 197.865,158.697 198.721,155.282 199.792,152.028 201.073,148.959 202.558,146.097 204.239,143.462 206.105,141.07 \n",
       "  208.144,138.937 210.344,137.074 212.689,135.488 215.164,134.186 217.751,133.168 220.434,132.432 223.196,131.975 226.019,131.788 228.886,131.863 231.781,132.186 \n",
       "  234.688,132.743 237.593,133.521 240.481,134.502 243.339,135.669 246.156,137.006 248.922,138.495 251.627,140.118 254.264,141.861 256.825,143.707 259.306,145.641 \n",
       "  261.701,147.649 264.007,149.719 266.221,151.837 268.342,153.995 270.368,156.182 272.3,158.389 274.137,160.609 275.88,162.835 277.531,165.061 279.09,167.281 \n",
       "  280.561,169.493 281.944,171.691 283.244,173.873 284.461,176.037 285.599,178.179 286.661,180.299 287.649,182.395 288.566,184.465 289.415,186.51 290.2,188.528 \n",
       "  290.922,190.519 291.585,192.483 292.191,194.419 292.742,196.328 293.242,198.21 293.692,200.065 294.096,201.893 294.454,203.694 294.769,205.469 295.044,207.218 \n",
       "  295.279,208.941 295.477,210.639 295.639,212.311 295.767,213.959 295.862,215.583 295.925,217.183 295.958,218.759 295.961,220.313 295.936,221.843 295.883,223.35 \n",
       "  295.803,224.836 295.696,226.299 295.564,227.741 295.406,229.161 295.224,230.561 295.017,231.939 294.785,233.296 294.529,234.633 294.249,235.95 293.944,237.246 \n",
       "  293.615,238.522 293.261,239.778 292.882,241.014 292.478,242.23 292.048,243.425 291.592,244.601 291.109,245.756 290.599,246.891 290.061,248.006 289.494,249.1 \n",
       "  288.897,250.172 288.27,251.224 287.612,252.253 286.921,253.26 286.196,254.245 285.437,255.205 284.643,256.142 283.811,257.053 282.94,257.939 282.03,258.798 \n",
       "  281.079,259.628 280.085,260.43 279.048,261.2 277.964,261.938 276.833,262.642 275.653,263.311 274.422,263.941 273.139,264.53 271.802,265.077 270.408,265.579 \n",
       "  268.958,266.031 267.448,266.432 265.877,266.777 264.243,267.063 262.545,267.285 260.782,267.439 258.952,267.519 257.053,267.521 255.085,267.439 253.047,267.266 \n",
       "  250.939,266.997 248.759,266.623 246.509,266.137 244.188,265.531 241.799,264.798 239.341,263.927 236.818,262.911 234.231,261.738 231.585,260.4 228.885,258.886 \n",
       "  226.134,257.186 223.341,255.29 220.511,253.186 217.655,250.866 214.781,248.321 211.901,245.54 209.029,242.516 206.177,239.243 203.363,235.716 200.603,231.931 \n",
       "  197.915,227.887 195.32,223.588 192.84,219.036 190.497,214.241 188.313,209.215 186.314,203.975 184.524,198.54 182.966,192.937 181.664,187.195 180.641,181.35 \n",
       "  179.919,175.44 179.515,169.51 179.446,163.604 179.725,157.774 180.362,152.071 181.362,146.548 182.726,141.256 184.449,136.246 186.524,131.566 188.937,127.26 \n",
       "  191.67,123.366 194.703,119.916 198.009,116.935 201.56,114.439 205.326,112.44 209.274,110.937 213.37,109.925 217.581,109.389 221.875,109.311 226.218,109.663 \n",
       "  230.581,110.417 234.935,111.538 239.255,112.992 243.517,114.741 247.701,116.749 251.789,118.979 255.766,121.396 259.621,123.966 263.342,126.66 266.924,129.448 \n",
       "  270.361,132.305 273.649,135.209 276.787,138.14 279.775,141.08 282.613,144.016 285.305,146.934 287.852,149.826 290.26,152.682 292.532,155.496 294.673,158.264 \n",
       "  296.689,160.981 298.584,163.645 300.365,166.255 302.038,168.809 303.608,171.307 305.08,173.749 306.462,176.136 307.757,178.468 308.973,180.746 310.114,182.972 \n",
       "  311.185,185.147 312.191,187.272 313.138,189.349 314.03,191.379 314.871,193.363 315.666,195.302 316.419,197.199 317.134,199.053 317.814,200.867 318.464,202.641 \n",
       "  319.086,204.377 319.684,206.075 320.26,207.736 320.819,209.361 321.362,210.951 321.892,212.507 322.411,214.029 322.923,215.517 323.429,216.973 323.931,218.396 \n",
       "  324.432,219.787 324.934,221.147 325.438,222.475 325.947,223.772 326.461,225.038 326.984,226.273 327.516,227.477 328.059,228.65 328.615,229.792 329.185,230.903 \n",
       "  329.77,231.982 330.374,233.029 330.996,234.044 331.638,235.027 332.302,235.976 332.989,236.892 333.701,237.774 334.439,238.62 335.205,239.43 336,240.204 \n",
       "  336.825,240.939 337.683,241.636 338.574,242.292 339.5,242.907 340.463,243.478 341.465,244.004 342.506,244.484 343.589,244.916 344.715,245.297 345.886,245.625 \n",
       "  347.103,245.898 348.368,246.113 349.682,246.268 351.048,246.359 352.466,246.384 353.938,246.339 355.466,246.221 357.051,246.026 358.694,245.749 360.396,245.386 \n",
       "  362.158,244.934 363.982,244.387 365.867,243.741 367.814,242.99 369.824,242.128 371.897,241.152 374.03,240.054 376.225,238.828 378.479,237.47 380.791,235.974 \n",
       "  383.158,234.332 385.578,232.54 388.045,230.591 390.557,228.481 393.107,226.204 395.69,223.756 398.298,221.134 400.922,218.333 403.554,215.353 406.183,212.192 \n",
       "  408.797,208.851 411.384,205.332 413.929,201.64 416.417,197.781 418.831,193.763 421.154,189.597 423.368,185.298 425.453,180.881 427.389,176.366 429.156,171.777 \n",
       "  430.734,167.138 432.102,162.479 433.241,157.83 434.132,153.226 434.759,148.701 435.105,144.294 435.158,140.042 434.907,135.984 434.345,132.156 433.468,128.595 \n",
       "  432.274,125.334 430.767,122.404 428.955,119.83 426.847,117.635 424.457,115.835 421.804,114.438 418.908,113.451 415.792,112.872 412.481,112.692 409.003,112.898 \n",
       "  405.383,113.473 401.651,114.394 397.835,115.635 393.961,117.167 390.055,118.959 386.144,120.981 382.248,123.199 378.39,125.583 374.587,128.102 370.857,130.729 \n",
       "  367.214,133.436 363.67,136.2 360.235,138.998 356.917,141.813 353.722,144.628 350.654,147.429 347.717,150.204 344.912,152.945 342.239,155.643 339.697,158.295 \n",
       "  337.285,160.895 335.001,163.441 332.841,165.933 330.802,168.368 328.88,170.749 327.07,173.075 325.368,175.347 323.77,177.569 322.271,179.741 320.865,181.866 \n",
       "  319.548,183.946 318.315,185.983 317.161,187.98 316.082,189.938 315.073,191.859 314.129,193.746 313.247,195.6 312.422,197.423 311.65,199.217 310.927,200.983 \n",
       "  310.25,202.722 309.615,204.435 309.018,206.124 308.458,207.79 307.929,209.433 307.43,211.055 306.958,212.655 306.511,214.235 306.085,215.795 305.678,217.335 \n",
       "  305.289,218.857 304.915,220.36 304.554,221.845 304.204,223.312 303.863,224.761 303.531,226.193 303.205,227.608 302.883,229.006 302.565,230.387 302.248,231.751 \n",
       "  301.932,233.099 301.615,234.431 301.296,235.746 300.974,237.045 300.648,238.329 300.316,239.596 299.977,240.848 299.631,242.083 299.276,243.303 298.912,244.508 \n",
       "  298.536,245.697 298.149,246.87 297.749,248.027 297.336,249.169 296.907,250.296 296.463,251.406 296.001,252.501 295.522,253.58 295.023,254.643 294.504,255.69 \n",
       "  293.964,256.721 293.401,257.736 292.814,258.733 292.202,259.714 291.564,260.677 290.898,261.623 290.203,262.55 289.478,263.459 288.721,264.348 287.93,265.218 \n",
       "  287.105,266.067 286.242,266.894 285.342,267.699 284.401,268.481 283.419,269.238 282.393,269.969 281.321,270.673 280.202,271.347 279.034,271.991 277.814,272.603 \n",
       "  276.541,273.179 275.212,273.719 273.825,274.218 272.378,274.675 270.869,275.086 269.296,275.447 267.656,275.755 265.948,276.006 264.169,276.194 262.318,276.316 \n",
       "  260.392,276.365 258.39,276.336 256.309,276.222 254.15,276.016 251.91,275.712 249.589,275.3 247.186,274.773 244.701,274.121 242.136,273.334 239.489,272.403 \n",
       "  236.765,271.316 233.964,270.061 231.091,268.627 228.149,267.002 225.144,265.173 222.082,263.127 218.972,260.851 215.823,258.332 212.645,255.558 209.451,252.517 \n",
       "  206.256,249.198 203.075,245.592 199.927,241.691 196.831,237.489 193.81,232.983 190.887,228.174 188.089,223.066 185.44,217.666 182.971,211.987 180.711,206.049 \n",
       "  178.688,199.873 176.934,193.492 175.477,186.94 174.345,180.26 173.564,173.499 173.158,166.712 173.147,159.957 173.546,153.295 174.368,146.791 175.617,140.512 \n",
       "  177.294,134.521 179.392,128.881 181.901,123.652 184.801,118.886 188.068,114.628 191.675,110.916 195.588,107.775 199.77,105.224 204.181,103.266 208.782,101.899 \n",
       "  213.53,101.107 218.384,100.867 223.304,101.149 228.253,101.914 233.195,103.121 238.099,104.724 242.935,106.676 247.679,108.93 252.309,111.44 256.807,114.161 \n",
       "  261.159,117.051 265.354,120.071 269.384,123.186 273.243,126.366 276.927,129.583 280.437,132.812 283.772,136.035 286.934,139.234 289.928,142.396 292.756,145.51 \n",
       "  295.426,148.568 297.942,151.563 300.31,154.49 302.538,157.348 304.632,160.133 306.599,162.844 308.446,165.483 310.181,168.05 311.809,170.545 313.339,172.971 \n",
       "  314.776,175.328 316.127,177.619 317.399,179.847 318.597,182.012 319.727,184.117 320.796,186.164 321.807,188.155 322.768,190.092 323.682,191.977 324.554,193.811 \n",
       "  325.389,195.595 326.191,197.332 326.964,199.022 327.712,200.667 328.439,202.267 329.148,203.824 329.842,205.338 330.525,206.811 331.199,208.243 331.868,209.634 \n",
       "  332.534,210.985 333.2,212.296 333.868,213.567 334.541,214.799 335.221,215.991 335.909,217.144 336.609,218.257 337.322,219.331 338.051,220.364 338.796,221.357 \n",
       "  339.559,222.308 340.344,223.218 341.15,224.086 341.981,224.91 342.837,225.69 343.72,226.425 344.631,227.114 345.573,227.756 346.546,228.348 347.552,228.89 \n",
       "  348.592,229.381 349.668,229.818 350.781,230.199 351.932,230.523 353.123,230.788 354.354,230.99 355.627,231.129 356.942,231.201 358.3,231.204 359.703,231.135 \n",
       "  361.151,230.99 362.644,230.768 364.183,230.464 365.768,230.076 367.399,229.6 369.077,229.032 370.799,228.369 372.567,227.607 374.379,226.742 376.233,225.772 \n",
       "  378.128,224.691 380.063,223.497 382.034,222.185 384.038,220.753 386.073,219.198 388.134,217.517 390.217,215.706 392.316,213.765 394.426,211.692 396.54,209.485 \n",
       "  398.651,207.146 400.751,204.675 402.831,202.073 404.883,199.344 406.896,196.492 408.859,193.523 410.761,190.443 412.59,187.26 414.333,183.987 415.978,180.633 \n",
       "  417.511,177.213 418.919,173.742 420.189,170.237 421.308,166.717 422.262,163.202 423.04,159.714 423.631,156.275 424.025,152.91 424.211,149.641 424.184,146.494 \n",
       "  423.937,143.492 423.467,140.658 422.771,138.016 421.851,135.584 420.708,133.383 419.347,131.428 417.776,129.733 416.003,128.309 414.04,127.162 411.9,126.297 \n",
       "  409.596,125.713 407.145,125.409 404.563,125.379 401.869,125.613 399.079,126.1 396.213,126.826 393.288,127.775 390.322,128.931 387.332,130.274 384.334,131.787 \n",
       "  381.344,133.449 378.376,135.242 375.443,137.147 372.556,139.147 369.725,141.225 366.961,143.365 364.271,145.553 361.661,147.776 359.136,150.022 356.702,152.281 \n",
       "  354.361,154.543 352.116,156.802 349.967,159.051 347.917,161.283 345.965,163.496 344.11,165.685 342.352,167.847 340.688,169.982 339.117,172.086 337.637,174.159 \n",
       "  336.245,176.201 334.938,178.212 333.715,180.191 332.571,182.139 331.504,184.056 330.512,185.944 329.59,187.802 328.735,189.631 327.946,191.432 327.219,193.206 \n",
       "  326.55,194.954 325.938,196.676 325.38,198.373 324.872,200.046 324.413,201.695 324.001,203.321 323.632,204.924 323.305,206.505 323.018,208.064 322.768,209.601 \n",
       "  322.555,211.117 322.376,212.613 322.23,214.087 322.115,215.541 322.031,216.975 321.976,218.389 321.948,219.782 321.947,221.155 321.973,222.509 322.023,223.842 \n",
       "  322.098,225.155 322.196,226.448 322.318,227.721 322.463,228.974 322.631,230.206 322.821,231.418 323.033,232.609 323.267,233.78 323.523,234.929 323.801,236.057 \n",
       "  324.101,237.164 324.424,238.249 324.769,239.311 325.137,240.352 325.529,241.369 325.944,242.364 326.384,243.335 326.848,244.282 327.338,245.204 327.855,246.101 \n",
       "  328.398,246.972 328.97,247.817 329.57,248.635 330.2,249.424 330.861,250.185 331.553,250.916 332.279,251.616 333.039,252.285 333.835,252.92 334.667,253.521 \n",
       "  335.538,254.086 336.449,254.614 337.401,255.102 338.396,255.55 339.435,255.955 340.521,256.316 341.654,256.629 342.837,256.893 344.072,257.105 345.36,257.262 \n",
       "  346.704,257.362 348.104,257.4 349.564,257.373 351.084,257.278 352.667,257.111 354.315,256.867 356.03,256.542 357.812,256.131 359.664,255.629 361.588,255.03 \n",
       "  363.583,254.329 365.653,253.519 367.796,252.594 370.015,251.547 372.309,250.372 374.678,249.06 377.121,247.606 379.637,246 382.225,244.235 384.882,242.303 \n",
       "  387.604,240.197 390.388,237.908 393.228,235.429 396.118,232.754 399.052,229.875 402.019,226.788 405.011,223.487 408.015,219.968 411.02,216.232 414.009,212.276 \n",
       "  416.968,208.104 419.877,203.72 422.718,199.131 425.47,194.348 428.109,189.386 430.612,184.262 432.953,178.998 435.108,173.621 437.049,168.16 438.749,162.651 \n",
       "  440.184,157.132 441.328,151.646 442.158,146.238 442.651,140.956 442.79,135.851 442.56,130.972 441.95,126.371 440.952,122.096 439.565,118.191 437.791,114.698 \n",
       "  435.641,111.652 433.127,109.083 430.268,107.011 427.087,105.449 423.612,104.402 419.874,103.866 415.906,103.827 411.743,104.265 407.422,105.153 402.98,106.458 \n",
       "  398.452,108.142 393.874,110.163 389.278,112.479 384.694,115.046 380.151,117.821 375.673,120.762 371.282,123.829 366.997,126.987 362.833,130.203 358.803,133.448 \n",
       "  354.916,136.696 351.18,139.926 347.6,143.12 344.179,146.264 340.918,149.347 337.817,152.361 334.874,155.3 332.086,158.16 329.449,160.939 326.96,163.638 \n",
       "  324.612,166.257 322.4,168.797 320.32,171.262 318.363,173.655 316.525,175.978 314.8,178.235 313.179,180.43 311.659,182.567 310.232,184.649 308.892,186.68 \n",
       "  307.633,188.663 306.451,190.6 305.338,192.496 304.291,194.352 303.303,196.171 302.37,197.955 301.486,199.706 300.649,201.426 299.852,203.117 299.092,204.779 \n",
       "  298.366,206.415 297.668,208.025 296.997,209.61 296.348,211.171 295.717,212.709 295.103,214.223 294.502,215.716 293.912,217.187 293.329,218.636 292.751,220.064 \n",
       "  292.176,221.47 291.601,222.855 291.025,224.219 290.444,225.562 289.858,226.883 289.264,228.183 288.66,229.462 288.044,230.718 287.416,231.952 286.771,233.164 \n",
       "  286.111,234.353 285.431,235.518 284.732,236.66 284.01,237.777 283.266,238.869 282.496,239.935 281.7,240.975 280.877,241.987 280.023,242.971 279.139,243.925 \n",
       "  278.222,244.849 277.271,245.741 276.285,246.6 275.261,247.424 274.199,248.212 273.097,248.963 271.954,249.673 270.767,250.342 269.537,250.966 268.26,251.545 \n",
       "  266.937,252.074 265.565,252.551 264.143,252.973 262.671,253.338 261.147,253.64 259.57,253.878 257.939,254.046 256.255,254.141 254.515,254.157 252.72,254.091 \n",
       "  250.87,253.936 248.965,253.688 247.006,253.342 244.992,252.89 242.927,252.326 240.81,251.646 238.644,250.84 236.432,249.904 234.177,248.829 231.883,247.61 \n",
       "  229.554,246.237 227.195,244.706 224.813,243.009 222.415,241.139 220.007,239.091 217.599,236.858 215.2,234.437 212.821,231.823 210.474,229.014 208.171,226.007 \n",
       "  205.926,222.805 203.752,219.407 201.666,215.819 199.682,212.047 197.819,208.099 196.092,203.986 194.519,199.724 193.116,195.328 191.901,190.819 190.89,186.219 \n",
       "  190.099,181.556 189.54,176.857 189.228,172.153 189.173,167.477 189.383,162.865 189.864,158.35 190.62,153.97 191.652,149.761 192.957,145.756 194.529,141.989 \n",
       "  196.361,138.491 198.44,135.288 200.753,132.404 203.283,129.859 206.011,127.666 208.917,125.836 211.979,124.374 215.173,123.279 218.477,122.546 221.867,122.165 \n",
       "  225.319,122.125 228.812,122.408 232.323,122.995 235.833,123.864 239.323,124.992 242.776,126.355 246.176,127.929 249.51,129.689 252.766,131.611 255.933,133.673 \n",
       "  259.005,135.852 261.972,138.128 264.832,140.484 267.579,142.9 270.211,145.363 272.727,147.858 275.126,150.374 277.409,152.899 279.576,155.424 281.63,157.942 \n",
       "  283.572,160.447 285.407,162.932 287.136,165.394 288.764,167.828 290.293,170.231 291.728,172.603 293.074,174.94 294.333,177.242 295.51,179.507 296.608,181.736 \n",
       "  297.633,183.929 298.588,186.084 299.476,188.204 300.302,190.287 301.069,192.334 301.78,194.347 302.44,196.325 303.05,198.269 303.615,200.18 304.138,202.059 \n",
       "  304.62,203.906 305.066,205.722 305.476,207.508 305.855,209.264 306.204,210.992 306.525,212.692 306.82,214.364 307.091,216.009 307.34,217.629 307.569,219.222 \n",
       "  307.779,220.791 307.971,222.335 308.148,223.855 308.31,225.352 308.458,226.827 308.594,228.279 308.718,229.709 308.832,231.117 308.936,232.505 309.031,233.872 \n",
       "  309.118,235.219 309.198,236.546 309.271,237.854 309.338,239.143 309.399,240.413 309.455,241.665 309.506,242.899 309.553,244.115 309.597,245.315 309.637,246.497 \n",
       "  309.673,247.662 309.707,248.811 309.739,249.944 309.768,251.061 309.795,252.163 309.82,253.249 309.844,254.32 309.866,255.377 309.886,256.418 309.906,257.445 \n",
       "  309.925,258.459 309.943,259.458 309.96,260.443 309.976,261.415 309.992,262.374 310.008,263.319 310.023,264.252 310.038,265.172 310.053,266.079 310.068,266.974 \n",
       "  310.083,267.857 310.098,268.727 310.113,269.586 310.129,270.433 310.144,271.269 310.16,272.093 310.177,272.906 310.193,273.708 310.211,274.499 310.229,275.279 \n",
       "  310.247,276.048 310.266,276.807 310.286,277.556 310.307,278.294 310.329,279.023 310.351,279.741 310.375,280.449 310.399,281.148 310.425,281.837 310.452,282.517 \n",
       "  310.48,283.187 310.509,283.848 310.54,284.5 310.572,285.142 310.606,285.776 310.641,286.401 310.678,287.017 310.718,287.624 310.759,288.223 310.802,288.813 \n",
       "  310.847,289.395 310.894,289.969 310.944,290.534 310.997,291.092 311.052,291.641 311.11,292.182 311.17,292.715 311.234,293.24 311.302,293.758 311.372,294.267 \n",
       "  311.447,294.769 311.525,295.264 311.608,295.75 311.694,296.229 311.785,296.701 311.881,297.165 311.982,297.621 312.088,298.07 312.2,298.512 312.318,298.946 \n",
       "  312.442,299.373 312.572,299.792 312.71,300.204 312.854,300.608 313.007,301.004 313.167,301.393 313.336,301.775 313.514,302.149 313.701,302.515 313.899,302.873 \n",
       "  314.107,303.223 314.326,303.566 314.557,303.9 314.801,304.226 315.057,304.543 315.327,304.852 315.612,305.152 315.913,305.442 316.229,305.724 316.563,305.996 \n",
       "  316.915,306.258 317.286,306.51 317.677,306.751 318.089,306.982 318.524,307.201 318.982,307.408 319.466,307.602 319.976,307.784 320.513,307.952 321.08,308.105 \n",
       "  321.678,308.243 322.309,308.365 322.974,308.47 323.676,308.557 324.415,308.625 325.196,308.672 326.019,308.698 326.887,308.7 327.802,308.677 328.767,308.627 \n",
       "  329.785,308.547 330.859,308.437 331.99,308.294 333.184,308.113 334.442,307.894 335.768,307.632 337.166,307.325 338.638,306.967 340.19,306.555 341.825,306.085 \n",
       "  343.547,305.55 345.359,304.946 347.267,304.266 349.275,303.504 351.386,302.652 353.606,301.702 355.939,300.646 358.389,299.473 360.96,298.175 363.658,296.739 \n",
       "  366.485,295.153 369.445,293.405 372.542,291.481 375.778,289.365 379.155,287.041 382.675,284.493 386.337,281.703 390.142,278.652 394.086,275.32 398.166,271.688 \n",
       "  402.375,267.735 406.706,263.442 411.148,258.787 415.686,253.753 420.305,248.321 424.983,242.477 429.695,236.207 434.413,229.504 439.103,222.364 443.727,214.789 \n",
       "  448.24,206.792 452.595,198.39 456.738,189.614 460.613,180.505 464.157,171.117 467.309,161.516 470.003,151.785 472.173,142.017 473.759,132.321 474.701,122.815 \n",
       "  474.949,113.627 474.457,104.891 473.197,96.741 471.147,89.3076 468.306,82.7129 464.684,77.0646 460.311,72.4506 455.23,68.9346 449.5,66.5528 443.194,65.3119 \n",
       "  436.392,65.1885 429.184,66.1306 421.662,68.0605 413.918,70.8791 406.044,74.4715 398.123,78.7121 390.233,83.4712 382.442,88.6199 374.81,94.0353 367.385,99.6038 \n",
       "  360.204,105.224 353.299,110.809 346.688,116.286 340.387,121.597 334.4,126.697 328.731,131.553 323.377,136.146 318.33,140.464 313.584,144.501 309.126,148.261 \n",
       "  304.945,151.751 301.029,154.981 297.363,157.964 293.936,160.715 290.732,163.248 287.74,165.581 284.947,167.729 282.339,169.706 279.905,171.527 277.634,173.207 \n",
       "  275.515,174.757 273.537,176.191 271.69,177.518 269.967,178.748 268.356,179.892 266.852,180.956 265.445,181.948 264.128,182.875 262.895,183.743 261.739,184.557 \n",
       "  260.654,185.321 259.635,186.04 258.676,186.718 257.773,187.356 256.92,187.959 256.114,188.529 255.35,189.067 254.626,189.576 253.937,190.057 253.28,190.512 \n",
       "  252.652,190.941 252.051,191.346 251.474,191.728 250.92,192.087 250.384,192.424 249.867,192.739 249.366,193.033 248.879,193.306 248.405,193.558 247.943,193.79 \n",
       "  247.492,194.002 247.05,194.194 246.617,194.366 246.191,194.518 245.772,194.65 245.36,194.762 244.954,194.854 244.554,194.927 244.159,194.98 243.769,195.014 \n",
       "  243.383,195.028 243.003,195.022 242.627,194.998 242.256,194.954 241.89,194.891 241.529,194.809 241.174,194.709 240.824,194.59 240.479,194.453 240.141,194.298 \n",
       "  239.81,194.126 239.486,193.937 239.169,193.732 238.859,193.51 238.559,193.273 238.267,193.02 237.985,192.754 237.712,192.473 237.451,192.18 237.2,191.874 \n",
       "  236.961,191.557 236.734,191.229 236.519,190.892 236.318,190.546 236.131,190.192 235.958,189.831 235.799,189.464 235.656,189.093 235.528,188.718 235.416,188.341 \n",
       "  235.32,187.962 235.241,187.583 235.179,187.206 235.133,186.83 235.105,186.458 235.094,186.09 235.101,185.728 235.124,185.373 235.166,185.025 235.224,184.687 \n",
       "  235.3,184.36 235.392,184.043 235.501,183.74 235.626,183.449 235.768,183.173 235.924,182.912 236.096,182.667 236.283,182.439 236.483,182.228 236.697,182.036 \n",
       "  236.924,181.863 237.162,181.709 237.412,181.575 237.672,181.461 237.942,181.367 238.221,181.295 238.508,181.244 238.803,181.213 239.103,181.204 239.409,181.216 \n",
       "  239.719,181.249 240.033,181.302 240.35,181.376 240.668,181.471 240.987,181.585 241.306,181.719 241.624,181.872 241.94,182.043 242.254,182.233 242.564,182.439 \n",
       "  242.869,182.663 243.17,182.902 243.464,183.157 243.752,183.426 244.032,183.708 244.304,184.004 244.567,184.312 244.821,184.631 245.065,184.96 245.298,185.299 \n",
       "  245.52,185.647 245.73,186.002 245.928,186.364 246.114,186.732 246.287,187.105 246.447,187.483 246.593,187.863 246.725,188.246 246.842,188.63 246.946,189.015 \n",
       "  247.034,189.4 247.108,189.783 247.167,190.165 247.211,190.543 247.24,190.918 247.254,191.289 247.253,191.654 247.236,192.013 247.204,192.365 247.157,192.709 \n",
       "  247.096,193.045 247.019,193.372 246.928,193.689 246.822,193.995 246.701,194.29 246.567,194.573 246.419,194.844 246.257,195.101 246.082,195.345 245.894,195.574 \n",
       "  245.693,195.787 245.481,195.986 245.256,196.168 245.02,196.333 244.773,196.482 244.515,196.612 244.248,196.725 243.971,196.819 243.686,196.895 243.392,196.951 \n",
       "  243.09,196.988 242.782,197.005 242.467,197.002 242.146,196.979 241.821,196.936 241.491,196.872 241.158,196.787 240.822,196.682 240.484,196.556 240.145,196.41 \n",
       "  239.806,196.244 239.468,196.057 239.131,195.85 238.796,195.624 238.465,195.378 238.137,195.113 237.815,194.829 237.499,194.528 237.19,194.209 236.889,193.874 \n",
       "  236.596,193.522 236.313,193.155 236.041,192.774 235.78,192.379 235.532,191.971 235.297,191.552 235.076,191.123 234.869,190.684 234.678,190.237 234.504,189.784 \n",
       "  234.346,189.324 234.206,188.861 234.084,188.394 233.981,187.926 233.898,187.458 233.833,186.991 233.789,186.527 233.765,186.068 233.762,185.614 233.779,185.167 \n",
       "  233.817,184.729 233.876,184.302 233.956,183.885 234.056,183.482 234.176,183.093 234.317,182.72 234.477,182.363 234.656,182.024 234.854,181.705 235.071,181.405 \n",
       "  235.305,181.127 235.555,180.871 235.822,180.637 236.104,180.427 236.401,180.242 236.711,180.081 237.033,179.945 237.367,179.835 237.712,179.75 238.066,179.692 \n",
       "  238.428,179.659 238.798,179.653 239.173,179.672 239.554,179.717 239.938,179.788 240.326,179.884 240.714,180.004 241.104,180.149 241.492,180.317 241.879,180.508 \n",
       "  242.264,180.721 242.644,180.956 243.019,181.212 243.389,181.487 243.752,181.782 244.107,182.094 244.454,182.424 244.791,182.769 245.118,183.13 245.434,183.505 \n",
       "  245.738,183.893 246.03,184.293 246.308,184.703 246.573,185.124 246.824,185.553 247.06,185.99 247.281,186.434 247.486,186.883 247.675,187.336 247.847,187.793 \n",
       "  248.003,188.253 248.142,188.713 248.264,189.174 248.368,189.635 248.454,190.093 248.523,190.549 248.574,191.002 248.607,191.449 248.622,191.891 248.619,192.327 \n",
       "  248.598,192.756 248.559,193.176 248.503,193.587 248.428,193.988 248.337,194.378 248.228,194.756 248.101,195.122 247.958,195.475 247.798,195.814 247.622,196.138 \n",
       "  247.43,196.446 247.221,196.738 246.998,197.014 246.76,197.271 246.507,197.511 246.24,197.731 245.959,197.932 245.665,198.113 245.359,198.274 245.041,198.413 \n",
       "  244.711,198.53 244.371,198.625 244.02,198.698 243.661,198.748 243.292,198.774 242.916,198.777 242.532,198.755 242.142,198.71 241.747,198.64 241.347,198.545 \n",
       "  240.943,198.425 240.537,198.281 240.128,198.112 239.719,197.919 239.31,197.701 238.903,197.458 238.498,197.192 238.096,196.901 237.698,196.588 237.306,196.251 \n",
       "  236.921,195.893 236.544,195.512 236.176,195.111 235.818,194.69 235.471,194.249 235.136,193.791 234.815,193.315 234.509,192.823 234.218,192.316 233.945,191.796 \n",
       "  233.688,191.264 233.451,190.72 233.233,190.168 233.036,189.609 232.861,189.043 232.707,188.473 232.576,187.901 232.469,187.327 232.386,186.755 232.328,186.186 \n",
       "  232.295,185.622 232.286,185.065 232.304,184.516 232.347,183.977 232.416,183.451 232.51,182.939 232.63,182.443 232.776,181.964 232.946,181.504 233.14,181.066 \n",
       "  233.359,180.649 233.601,180.256 233.865,179.889 234.151,179.547 234.458,179.233 234.785,178.948 235.13,178.691 235.493,178.465 235.873,178.27 236.268,178.105 \n",
       "  236.678,177.973 237.099,177.873 237.533,177.804 237.976,177.768 238.428,177.764 238.887,177.792 239.352,177.851 239.821,177.942 240.293,178.063 240.767,178.214 \n",
       "  241.241,178.395 241.714,178.604 242.184,178.841 242.65,179.105 243.111,179.395 243.566,179.709 244.013,180.047 244.451,180.408 244.88,180.79 245.298,181.192 \n",
       "  245.704,181.613 246.097,182.051 246.477,182.506 246.842,182.976 247.192,183.46 247.526,183.956 247.843,184.463 248.143,184.98 248.425,185.506 248.689,186.04 \n",
       "  248.933,186.579 249.159,187.123 249.365,187.671 249.55,188.221 249.716,188.772 249.861,189.323 249.985,189.873 250.088,190.421 250.171,190.966 250.232,191.506 \n",
       "  250.272,192.04 250.291,192.568 250.289,193.088 250.265,193.599 250.221,194.1 250.155,194.591 250.069,195.071 249.963,195.537 249.836,195.99 249.689,196.429 \n",
       "  249.521,196.852 249.335,197.259 249.129,197.649 248.904,198.022 248.66,198.375 248.398,198.709 248.119,199.022 247.822,199.315 247.508,199.586 247.179,199.834 \n",
       "  246.833,200.058 246.472,200.259 246.097,200.436 245.708,200.587 245.305,200.712 244.891,200.811 244.464,200.882 244.027,200.927 243.579,200.943 243.123,200.931 \n",
       "  242.658,200.891 242.186,200.821 241.707,200.722 241.224,200.594 240.736,200.436 240.245,200.248 239.752,200.03 239.258,199.782 238.765,199.505 238.274,199.199 \n",
       "  237.785,198.863 237.301,198.499 236.823,198.106 236.352,197.685 235.889,197.238 235.436,196.764 234.995,196.265 234.566,195.741 234.151,195.194 233.752,194.625 \n",
       "  233.37,194.034 233.006,193.425 232.662,192.798 232.339,192.154 232.038,191.496 231.761,190.825 231.508,190.143 231.281,189.453 231.081,188.756 230.909,188.055 \n",
       "  230.766,187.352 230.652,186.648 230.569,185.948 230.516,185.252 230.495,184.563 230.505,183.884 230.547,183.216 230.621,182.564 230.728,181.928 230.866,181.311 \n",
       "  231.035,180.715 231.236,180.143 231.467,179.596 231.728,179.077 232.019,178.587 232.338,178.128 232.684,177.701 233.056,177.309 233.453,176.952 233.874,176.632 \n",
       "  234.316,176.349 234.78,176.105 235.262,175.899 235.762,175.733 236.278,175.607 236.808,175.521 237.35,175.475 237.902,175.468 238.463,175.501 239.032,175.574 \n",
       "  239.605,175.684 240.181,175.832 240.76,176.017 241.338,176.238 241.914,176.494 242.486,176.784 243.054,177.106 243.615,177.459 244.168,177.842 244.711,178.253 \n",
       "  245.243,178.691 245.763,179.154 246.269,179.642 246.761,180.151 247.236,180.681 247.695,181.23 248.137,181.797 248.559,182.38 248.962,182.977 249.345,183.587 \n",
       "  249.707,184.208 250.047,184.838 250.365,185.477 250.661,186.123 250.933,186.774 251.182,187.428 251.408,188.086 251.609,188.744 251.786,189.402 251.938,190.058 \n",
       "  252.066,190.712 252.169,191.361 252.247,192.005 252.301,192.643 252.33,193.272 252.333,193.893 252.313,194.504 252.267,195.103 252.198,195.691 252.103,196.265 \n",
       "  251.985,196.825 251.843,197.369 251.678,197.897 251.489,198.408 251.277,198.9 251.043,199.373 250.786,199.826 250.507,200.257 250.207,200.667 249.886,201.053 \n",
       "  249.544,201.416 249.182,201.753 248.8,202.065 248.4,202.351 247.981,202.609 247.545,202.839 247.091,203.04 246.621,203.211 246.136,203.352 245.636,203.462 \n",
       "  245.122,203.54 244.595,203.586 244.057,203.598 243.507,203.577 242.947,203.522 242.378,203.432 241.802,203.307 241.219,203.147 240.631,202.951 240.039,202.72 \n",
       "  239.444,202.452 238.848,202.149 238.252,201.809 237.659,201.434 237.068,201.023 236.483,200.577 235.904,200.096 235.333,199.581 234.773,199.032 234.224,198.452 \n",
       "  233.689,197.839 233.169,197.196 232.667,196.525 232.183,195.825 231.72,195.1 231.279,194.35 230.863,193.577 230.473,192.785 230.11,191.974 229.777,191.147 \n",
       "  229.474,190.306 229.203,189.455 228.966,188.596 228.764,187.731 228.598,186.864 228.469,185.997 228.377,185.134 228.325,184.277 228.311,183.43 228.338,182.596 \n",
       "  228.404,181.777 228.51,180.978 228.657,180.201 228.843,179.449 229.069,178.724 229.334,178.031 229.636,177.37 229.976,176.746 230.352,176.159 230.763,175.613 \n",
       "  231.207,175.109 231.683,174.649 232.189,174.235 232.723,173.867 233.284,173.548 233.869,173.277 234.477,173.055 235.105,172.884 235.75,172.762 236.412,172.691 \n",
       "  237.087,172.669 237.773,172.697 238.468,172.773 239.169,172.897 239.875,173.068 240.582,173.284 241.29,173.545 241.995,173.849 242.695,174.194 243.39,174.579 \n",
       "  244.076,175.002 244.752,175.461 245.415,175.955 246.066,176.481 246.701,177.037 247.319,177.622 247.92,178.233 248.501,178.869 249.061,179.528 249.6,180.207 \n",
       "  250.116,180.904 250.609,181.619 251.077,182.348 251.52,183.09 251.937,183.843 252.327,184.606 252.691,185.376 253.027,186.152 253.336,186.933 253.616,187.716 \n",
       "  253.868,188.5 254.091,189.284 254.286,190.066 254.451,190.845 254.588,191.619 254.696,192.387 254.775,193.148 254.825,193.899 254.846,194.641 254.838,195.372 \n",
       "  254.802,196.09 254.738,196.795 254.645,197.485 254.525,198.159 254.376,198.817 254.201,199.456 253.998,200.076 253.768,200.676 253.512,201.254 253.23,201.81 \n",
       "  252.922,202.343 252.589,202.852 252.23,203.335 251.848,203.792 251.441,204.221 251.011,204.622 250.559,204.993 250.084,205.334 249.587,205.643 249.069,205.92 \n",
       "  248.532,206.164 247.974,206.374 247.398,206.548 246.804,206.687 246.194,206.788 245.567,206.851 244.925,206.876 244.27,206.862 243.601,206.807 242.922,206.711 \n",
       "  242.232,206.574 241.533,206.395 240.827,206.174 240.114,205.909 239.398,205.601 238.678,205.249 237.958,204.854 237.238,204.415 236.521,203.932 235.808,203.406 \n",
       "  235.103,202.837 234.405,202.225 233.719,201.572 233.045,200.877 232.387,200.143 231.745,199.37 231.124,198.559 230.525,197.713 229.949,196.833 229.401,195.921 \n",
       "  228.881,194.979 228.392,194.01 227.937,193.017 227.517,192.002 227.135,190.968 226.792,189.919 226.49,188.858 226.232,187.788 226.018,186.714 225.851,185.639 \n",
       "  225.73,184.567 225.659,183.503 225.636,182.449 225.664,181.411 225.742,180.392 225.871,179.397 226.051,178.429 226.281,177.493 226.56,176.593 226.889,175.731 \n",
       "  227.266,174.911 227.691,174.138 228.16,173.413 228.673,172.74 229.229,172.121 229.824,171.559 230.457,171.054 231.124,170.61 231.825,170.227 232.555,169.906 \n",
       "  233.313,169.649 234.095,169.454 234.899,169.323 235.72,169.254 236.557,169.248 237.407,169.304 238.266,169.42 239.132,169.595 240.001,169.828 240.87,170.117 \n",
       "  241.738,170.459 242.601,170.854 243.457,171.298 244.304,171.79 245.138,172.326 245.958,172.905 246.761,173.524 247.547,174.181 248.312,174.872 249.055,175.596 \n",
       "  249.775,176.35 250.47,177.131 251.139,177.937 251.781,178.766 252.395,179.614 252.979,180.48 253.533,181.362 254.056,182.257 254.548,183.163 255.007,184.078 \n",
       "  255.435,185 255.829,185.928 256.19,186.858 256.518,187.791 256.812,188.723 257.073,189.653 257.3,190.58 257.493,191.502 257.653,192.418 257.779,193.326 \n",
       "  257.872,194.224 257.932,195.112 257.958,195.988 257.951,196.851 257.912,197.699 257.84,198.532 257.736,199.348 257.6,200.146 257.433,200.925 257.234,201.683 \n",
       "  257.004,202.42 256.743,203.134 256.453,203.825 256.132,204.491 255.781,205.131 255.402,205.744 254.993,206.329 254.557,206.885 254.092,207.411 253.6,207.905 \n",
       "  253.081,208.366 252.536,208.794 251.966,209.186 251.37,209.543 250.749,209.862 250.105,210.144 249.438,210.385 248.749,210.586 248.039,210.745 247.308,210.862 \n",
       "  246.558,210.934 245.789,210.961 245.004,210.942 244.202,210.875 243.387,210.76 242.558,210.597 241.717,210.383 240.866,210.118 240.007,209.801 239.142,209.432 \n",
       "  238.272,209.011 237.4,208.536 236.527,208.008 235.656,207.426 234.789,206.79 233.929,206.101 233.078,205.359 232.238,204.564 231.414,203.718 230.606,202.821 \n",
       "  229.819,201.875 229.055,200.881 228.317,199.841 227.608,198.757 226.932,197.632 226.291,196.468 225.687,195.269 225.125,194.037 224.607,192.776 224.136,191.491 \n",
       "  223.714,190.185 223.345,188.862 223.029,187.528 222.77,186.188 222.57,184.845 222.43,183.507 222.352,182.177 222.337,180.862 222.386,179.568 222.499,178.299 \n",
       "  222.678,177.061 222.92,175.859 223.228,174.7 223.598,173.587 224.031,172.526 224.526,171.522 225.079,170.578 225.69,169.699 226.356,168.889 227.074,168.15 \n",
       "  227.841,167.485 228.654,166.896 229.51,166.386 230.405,165.956 231.336,165.606 232.299,165.337 233.289,165.149 234.304,165.042 235.338,165.014 236.388,165.064 \n",
       "  237.45,165.192 238.521,165.394 239.595,165.669 240.671,166.014 241.743,166.426 242.809,166.903 243.866,167.442 244.91,168.038 245.938,168.69 246.947,169.393 \n",
       "  247.936,170.144 248.901,170.94 249.841,171.778 250.753,172.653 251.636,173.564 252.488,174.506 253.308,175.477 254.093,176.473 254.844,177.491 255.559,178.529 \n",
       "  256.238,179.584 256.879,180.654 257.482,181.735 258.046,182.825 258.572,183.923 259.059,185.026 259.507,186.131 259.915,187.237 260.284,188.343 260.614,189.445 \n",
       "  260.905,190.543 261.157,191.635 261.37,192.719 261.544,193.794 261.68,194.858 261.778,195.911 261.839,196.95 261.861,197.974 261.847,198.983 261.796,199.975 \n",
       "  261.708,200.949 261.585,201.903 261.425,202.837 261.23,203.749 261.001,204.639 260.736,205.504 260.437,206.345 260.104,207.16 259.737,207.948 259.337,208.707 \n",
       "  258.904,209.437 258.438,210.136 257.94,210.803 257.41,211.438 256.849,212.038 256.256,212.603 255.634,213.131 254.981,213.621 254.298,214.071 253.586,214.481 \n",
       "  252.846,214.849 252.078,215.173 251.283,215.453 250.462,215.686 249.615,215.871 248.743,216.006 247.848,216.091 246.93,216.124 245.991,216.103 245.032,216.027 \n",
       "  244.054,215.894 243.059,215.703 242.048,215.453 241.023,215.141 239.987,214.768 238.941,214.332 237.887,213.832 236.828,213.267 235.766,212.637 234.703,211.939 \n",
       "  233.644,211.176 232.59,210.345 231.546,209.448 230.513,208.484 229.496,207.454 228.498,206.359 227.523,205.201 226.575,203.98 225.657,202.7 224.774,201.361 \n",
       "  223.93,199.968 223.128,198.523 222.374,197.03 221.67,195.493 221.02,193.917 220.429,192.306 219.901,190.667 219.439,189.004 219.045,187.325 218.725,185.635 \n",
       "  218.479,183.942 218.311,182.252 218.223,180.574 218.216,178.914 218.292,177.281 218.452,175.681 218.695,174.124 219.023,172.615 219.434,171.162 219.927,169.773 \n",
       "  220.501,168.454 221.153,167.211 221.881,166.05 222.683,164.976 223.553,163.994 224.489,163.107 225.487,162.32 226.542,161.635 227.649,161.053 228.803,160.577 \n",
       "  229.999,160.206 231.232,159.94 232.496,159.779 233.786,159.721 235.097,159.765 236.422,159.908 237.758,160.147 239.099,160.478 240.44,160.898 241.776,161.404 \n",
       "  243.104,161.99 244.417,162.652 245.714,163.386 246.989,164.188 248.24,165.052 249.463,165.973 250.655,166.948 251.815,167.972 252.939,169.04 254.025,170.147 \n",
       "  255.072,171.291 256.078,172.466 257.042,173.669 257.962,174.896 258.838,176.144 259.67,177.409 260.455,178.688 261.195,179.979 261.888,181.278 262.535,182.584 \n",
       "  263.135,183.893 263.689,185.203 264.197,186.512 264.659,187.819 265.076,189.121 265.447,190.416 265.773,191.703 266.056,192.981 266.294,194.248 266.488,195.502 \n",
       "  266.64,196.743 266.75,197.968 266.817,199.177 266.844,200.369 266.829,201.543 266.774,202.697 266.678,203.831 266.544,204.944 266.37,206.033 266.157,207.1 \n",
       "  265.907,208.142 265.618,209.158 265.291,210.148 264.928,211.11 264.527,212.044 264.09,212.948 263.616,213.822 263.106,214.663 262.56,215.472 261.979,216.246 \n",
       "  261.362,216.985 260.71,217.687 260.023,218.351 259.301,218.976 258.545,219.559 257.754,220.1 256.93,220.598 256.073,221.049 255.183,221.453 254.26,221.808 \n",
       "  253.305,222.113 252.32,222.365 251.303,222.562 250.257,222.702 249.181,222.785 248.078,222.806 246.948,222.765 245.793,222.66 244.613,222.488 243.411,222.247 \n",
       "  242.188,221.935 240.946,221.551 239.688,221.092 238.415,220.556 237.13,219.942 235.836,219.248 234.536,218.472 233.233,217.614 231.931,216.672 230.633,215.645 \n",
       "  229.343,214.533 228.066,213.336 226.806,212.054 225.567,210.687 224.355,209.237 223.175,207.706 222.031,206.095 220.93,204.406 219.877,202.645 218.877,200.813 \n",
       "  217.936,198.917 217.059,196.961 216.254,194.951 215.523,192.895 214.874,190.799 214.312,188.671 213.84,186.52 213.463,184.356 213.186,182.187 213.012,180.025 \n",
       "  212.943,177.879 212.983,175.76 213.132,173.68 213.393,171.649 213.765,169.678 214.248,167.778 214.841,165.958 215.541,164.229 216.347,162.599 217.254,161.078 \n",
       "  218.259,159.673 219.357,158.39 220.542,157.235 221.809,156.214 223.151,155.329 224.562,154.583 226.034,153.978 227.56,153.514 229.133,153.19 230.744,153.005 \n",
       "  232.387,152.957 234.054,153.04 235.738,153.253 237.431,153.589 239.127,154.044 240.818,154.611 242.5,155.284 244.165,156.058 245.809,156.924 247.427,157.877 \n",
       "  249.013,158.91 250.564,160.015 252.076,161.187 253.546,162.419 254.97,163.705 256.347,165.039 257.674,166.415 258.949,167.828 260.17,169.273 261.338,170.744 \n",
       "  262.45,172.238 263.507,173.751 264.508,175.277 265.452,176.815 266.34,178.361 267.172,179.911 267.949,181.462 268.67,183.014 269.337,184.562 269.95,186.105 \n",
       "  270.509,187.641 271.017,189.168 271.472,190.685 271.878,192.19 272.233,193.682 272.539,195.159 272.798,196.621 273.009,198.066 273.174,199.493 273.293,200.902 \n",
       "  273.368,202.291 273.399,203.661 273.386,205.009 273.331,206.336 273.234,207.64 273.096,208.921 272.916,210.177 272.697,211.41 272.437,212.616 272.138,213.797 \n",
       "  271.8,214.951 271.423,216.077 271.007,217.175 270.552,218.243 270.059,219.281 269.528,220.288 268.958,221.262 268.351,222.203 267.705,223.11 267.021,223.981 \n",
       "  266.298,224.816 265.538,225.612 264.739,226.369 263.901,227.085 263.026,227.758 262.111,228.387 261.158,228.97 260.167,229.505 259.136,229.991 258.068,230.424 \n",
       "  256.961,230.803 255.816,231.126 254.633,231.39 253.413,231.593 252.156,231.732 250.862,231.805 249.534,231.808 248.17,231.739 246.773,231.594 245.344,231.372 \n",
       "  243.885,231.068 242.396,230.679 240.881,230.203 239.341,229.637 237.779,228.976 236.198,228.219 234.601,227.363 232.992,226.404 231.374,225.34 229.752,224.168 \n",
       "  228.131,222.888 226.515,221.497 224.91,219.993 223.323,218.377 221.758,216.648 220.224,214.807 218.726,212.855 217.273,210.794 215.871,208.627 214.529,206.357 \n",
       "  213.255,203.99 212.056,201.532 210.942,198.988 209.92,196.369 208.999,193.682 208.186,190.938 207.489,188.149 206.915,185.328 206.471,182.486 206.162,179.64 \n",
       "  205.995,176.804 205.973,173.994 206.099,171.226 206.376,168.516 206.805,165.88 207.387,163.336 208.12,160.898 209.001,158.581 210.028,156.4 211.195,154.368 \n",
       "  212.497,152.496 213.926,150.795 215.475,149.273 217.135,147.937 218.896,146.792 220.748,145.841 222.681,145.086 224.684,144.526 226.746,144.159 228.855,143.981 \n",
       "  231,143.988 233.171,144.173 235.357,144.528 237.549,145.045 239.736,145.715 241.91,146.528 244.062,147.474 246.184,148.542 248.271,149.723 250.314,151.005 \n",
       "  252.31,152.379 254.252,153.835 256.137,155.364 257.961,156.956 259.721,158.603 261.414,160.297 263.04,162.03 264.596,163.796 266.082,165.589 267.496,167.402 \n",
       "  268.84,169.23 270.113,171.069 271.315,172.915 272.448,174.763 273.511,176.61 274.507,178.453 275.437,180.29 276.301,182.118 277.101,183.935 277.84,185.739 \n",
       "  278.518,187.529 279.136,189.303 279.698,191.061 280.203,192.8 280.655,194.521 281.053,196.222 281.4,197.903 281.698,199.563 281.947,201.202 282.149,202.819 \n",
       "  282.306,204.414 282.418,205.986 282.486,207.536 282.512,209.063 282.496,210.567 282.44,212.047 282.344,213.503 282.209,214.936 282.036,216.344 281.824,217.727 \n",
       "  281.575,219.086 281.289,220.42 280.966,221.728 280.606,223.01 280.21,224.266 279.778,225.496 279.309,226.698 278.803,227.873 278.261,229.019 277.682,230.137 \n",
       "  277.065,231.224 276.412,232.282 275.72,233.308 274.99,234.302 274.221,235.262 273.413,236.188 272.565,237.079 271.676,237.933 270.747,238.748 269.775,239.523 \n",
       "  268.761,240.257 267.704,240.947 266.604,241.592 265.458,242.189 264.268,242.737 263.032,243.232 261.75,243.672 260.422,244.054 259.046,244.376 257.623,244.634 \n",
       "  256.152,244.825 254.633,244.945 253.067,244.99 251.454,244.956 249.794,244.84 248.087,244.637 246.335,244.342 244.539,243.95 242.701,243.458 240.822,242.859 \n",
       "  238.904,242.148 236.951,241.321 234.965,240.372 232.95,239.296 230.911,238.088 228.852,236.743 226.778,235.257 224.695,233.624 222.611,231.841 220.533,229.904 \n",
       "  218.468,227.811 216.425,225.56 214.414,223.149 212.445,220.579 210.528,217.851 208.676,214.967 206.9,211.932 205.212,208.751 203.626,205.432 202.153,201.985 \n",
       "  200.808,198.42 199.603,194.752 198.55,190.996 197.663,187.17 196.953,183.294 196.43,179.389 196.103,175.477 195.982,171.585 196.073,167.737 196.381,163.96 \n",
       "  196.909,160.281 197.659,156.726 198.628,153.322 199.815,150.094 201.214,147.065 202.817,144.257 204.615,141.689 206.597,139.377 208.749,137.336 211.058,135.574 \n",
       "  213.507,134.1 216.08,132.915 218.76,132.021 221.529,131.413 224.369,131.086 227.262,131.031 230.192,131.235 233.142,131.687 236.096,132.37 239.04,133.268 \n",
       "  241.959,134.365 244.842,135.642 247.677,137.083 250.455,138.668 253.166,140.381 255.803,142.207 258.36,144.128 260.832,146.13 263.215,148.2 265.506,150.324 \n",
       "  267.702,152.492 269.802,154.693 271.806,156.918 273.713,159.158 275.525,161.406 277.242,163.656 278.866,165.902 280.399,168.139 281.842,170.365 283.199,172.574 \n",
       "  284.472,174.765 285.663,176.935 286.776,179.082 287.813,181.205 288.777,183.302 289.672,185.373 290.5,187.416 291.264,189.433 291.967,191.421 292.612,193.382 \n",
       "  293.201,195.314 293.737,197.219 294.222,199.096 294.66,200.946 295.052,202.769 295.4,204.564 295.706,206.333 295.973,208.076 296.202,209.793 296.395,211.485 \n",
       "  296.553,213.152 296.678,214.794 296.772,216.412 296.835,218.006 296.868,219.577 296.874,221.124 296.852,222.649 296.803,224.152 296.729,225.632 296.63,227.091 \n",
       "  296.506,228.528 296.358,229.944 296.186,231.34 295.99,232.714 295.772,234.069 295.53,235.403 295.264,236.717 294.976,238.011 294.665,239.286 294.329,240.54 \n",
       "  293.971,241.776 293.588,242.992 293.18,244.188 292.748,245.366 292.29,246.523 291.807,247.661 291.296,248.779 290.758,249.878 290.192,250.956 289.597,252.014 \n",
       "  288.972,253.052 288.315,254.068 287.627,255.062 286.906,256.035 286.15,256.985 285.359,257.911 284.531,258.814 283.665,259.691 282.759,260.542 281.812,261.366 \n",
       "  280.823,262.162 279.789,262.928 278.71,263.663 277.583,264.365 276.408,265.031 275.181,265.661 273.901,266.252 272.567,266.801 271.177,267.306 269.729,267.764 \n",
       "  268.221,268.17 266.651,268.523 265.017,268.817 263.319,269.05 261.553,269.215 259.72,269.309 257.817,269.325 255.843,269.259 253.798,269.103 251.68,268.851 \n",
       "  249.489,268.497 247.225,268.032 244.888,267.448 242.479,266.736 240,265.889 237.451,264.896 234.837,263.747 232.159,262.432 229.422,260.94 226.632,259.262 \n",
       "  223.794,257.385 220.916,255.3 218.006,252.996 215.074,250.461 212.131,247.688 209.19,244.667 206.265,241.391 203.372,237.853 200.529,234.05 197.753,229.98 \n",
       "  195.067,225.643 192.491,221.043 190.049,216.188 187.765,211.09 185.663,205.763 183.77,200.228 182.109,194.51 180.708,188.639 179.588,182.65 178.773,176.583 \n",
       "  178.284,170.482 178.137,164.395 178.348,158.373 178.927,152.471 179.88,146.743 181.21,141.244 182.914,136.027 184.984,131.144 187.407,126.64 190.165,122.558 \n",
       "  193.236,118.931 196.594,115.789 200.211,113.149 204.054,111.022 208.09,109.412 212.283,108.312 216.598,107.709 221.002,107.582 225.46,107.905 229.94,108.646 \n",
       "  234.413,109.771 238.852,111.242 243.232,113.021 247.532,115.068 251.733,117.345 255.82,119.816 259.78,122.444 263.603,125.199 267.281,128.049 270.809,130.97 \n",
       "  274.184,133.935 277.404,136.926 280.468,139.925 283.378,142.915 286.138,145.885 288.748,148.825 291.215,151.725 293.542,154.58 295.735,157.384 297.8,160.135 \n",
       "  299.741,162.829 301.565,165.464 303.278,168.041 304.886,170.558 306.394,173.016 307.81,175.417 309.139,177.759 310.386,180.046 311.557,182.278 312.657,184.457 \n",
       "  313.692,186.583 314.667,188.66 315.587,190.687 316.456,192.667 317.278,194.601 318.058,196.49 318.8,198.336 319.509,200.14 320.186,201.902 320.837,203.625 \n",
       "  321.464,205.308 322.07,206.954 322.659,208.562 323.234,210.134 323.796,211.669 324.35,213.17 324.896,214.636 325.438,216.068 325.978,217.466 326.518,218.83 \n",
       "  327.06,220.161 327.607,221.46 328.159,222.725 328.719,223.957 329.288,225.157 329.869,226.324 330.463,227.458 331.072,228.558 331.697,229.626 332.34,230.659 \n",
       "  333.003,231.658 333.686,232.622 334.392,233.551 335.123,234.444 335.879,235.3 336.662,236.118 337.473,236.898 338.315,237.638 339.189,238.337 340.095,238.995 \n",
       "  341.037,239.608 342.015,240.177 343.03,240.7 344.085,241.174 345.181,241.597 346.319,241.968 347.501,242.285 348.729,242.545 350.003,242.745 351.326,242.883 \n",
       "  352.699,242.956 354.123,242.96 355.599,242.893 357.13,242.75 358.715,242.529 360.356,242.225 362.054,241.834 363.809,241.352 365.623,240.774 367.495,240.096 \n",
       "  369.426,239.312 371.415,238.418 373.462,237.409 375.566,236.278 377.726,235.021 379.94,233.633 382.205,232.107 384.519,230.44 386.879,228.624 389.28,226.657 \n",
       "  391.717,224.533 394.184,222.248 396.675,219.799 399.183,217.184 401.698,214.399 404.211,211.446 406.712,208.323 409.188,205.034 411.627,201.582 414.015,197.973 \n",
       "  416.337,194.213 418.578,190.313 420.719,186.285 422.744,182.144 424.635,177.907 426.373,173.594 427.939,169.227 429.315,164.833 430.483,160.439 431.426,156.075 \n",
       "  432.127,151.773 432.572,147.567 432.747,143.49 432.643,139.578 432.251,135.865 431.567,132.385 430.588,129.168 429.315,126.244 427.753,123.639 425.911,121.374 \n",
       "  423.799,119.466 421.432,117.928 418.828,116.767 416.005,115.985 412.986,115.577 409.795,115.536 406.455,115.847 402.994,116.494 399.436,117.454 395.806,118.705 \n",
       "  392.129,120.218 388.43,121.967 384.729,123.922 381.048,126.056 377.405,128.34 373.817,130.748 370.299,133.253 366.864,135.834 363.523,138.467 360.285,141.135 \n",
       "  357.156,143.819 354.143,146.506 351.25,149.183 348.479,151.84 345.832,154.468 343.309,157.061 340.91,159.613 338.632,162.12 336.475,164.582 334.434,166.994 \n",
       "  332.508,169.358 330.692,171.673 328.983,173.939 327.376,176.158 325.868,178.33 324.453,180.459 323.128,182.544 321.888,184.588 320.729,186.593 319.646,188.56 \n",
       "  318.635,190.492 317.691,192.39 316.812,194.255 315.992,196.09 315.229,197.896 314.518,199.674 313.855,201.425 313.238,203.15 312.663,204.852 312.127,206.529 \n",
       "  311.628,208.184 311.162,209.817 310.726,211.429 310.319,213.021 309.938,214.592 309.58,216.144 309.244,217.677 308.927,219.192 308.629,220.688 308.346,222.166 \n",
       "  308.078,223.627 307.822,225.07 307.577,226.497 307.343,227.906 307.117,229.299 306.898,230.675 306.686,232.036 306.478,233.38 306.275,234.708 306.075,236.021 \n",
       "  305.877,237.318 305.68,238.599 305.484,239.866 305.287,241.117 305.089,242.354 304.889,243.575 304.686,244.782 304.48,245.975 304.269,247.153 304.054,248.317 \n",
       "  303.834,249.466 303.607,250.602 303.374,251.724 303.133,252.833 302.883,253.928 302.626,255.009 302.358,256.077 302.081,257.132 301.792,258.174 301.492,259.203 \n",
       "  301.18,260.219 300.855,261.223 300.516,262.213 300.162,263.191 299.793,264.156 299.408,265.109 299.005,266.049 298.585,266.977 298.145,267.892 297.685,268.795 \n",
       "  297.205,269.684 296.702,270.561 296.176,271.426 295.626,272.277 295.05,273.115 294.447,273.939 293.816,274.75 293.155,275.546 292.464,276.328 291.739,277.095 \n",
       "  290.981,277.847 290.187,278.582 289.355,279.301 288.484,280.002 287.571,280.684 286.616,281.347 285.615,281.989 284.567,282.609 283.47,283.206 282.321,283.777 \n",
       "  281.119,284.322 279.859,284.838 278.541,285.322 277.162,285.773 275.719,286.188 274.21,286.563 272.631,286.895 270.98,287.18 269.255,287.414 267.452,287.593 \n",
       "  265.57,287.712 263.605,287.764 261.555,287.744 259.417,287.646 257.19,287.461 254.871,287.183 252.457,286.802 249.949,286.31 247.344,285.695 244.643,284.948 \n",
       "  241.844,284.056 238.948,283.008 235.957,281.789 232.873,280.387 229.698,278.785 226.438,276.969 223.098,274.923 219.684,272.629 216.206,270.072 212.674,267.235 \n",
       "  209.1,264.101 205.5,260.654 201.889,256.879 198.288,252.763 194.717,248.294 191.202,243.463 187.769,238.266 184.447,232.699 181.269,226.767 178.269,220.479 \n",
       "  175.481,213.85 172.945,206.901 170.696,199.664 168.774,192.177 167.215,184.486 166.055,176.647 165.327,168.722 165.06,160.783 165.277,152.906 165.998,145.174 \n",
       "  167.234,137.671 168.988,130.481 171.258,123.69 174.03,117.376 177.286,111.61 180.995,106.457 185.123,101.968 189.629,98.1793 194.466,95.1161 199.583,92.7869 \n",
       "  204.927,91.1859 210.447,90.2935 216.088,90.0778 221.801,90.496 227.537,91.4969 233.252,93.0229 238.907,95.0126 244.467,97.403 249.903,100.131 255.188,103.136 \n",
       "  260.305,106.36 265.236,109.749 269.97,113.256 274.501,116.837 278.823,120.456 282.934,124.079 286.837,127.682 290.532,131.24 294.026,134.738 297.323,138.162 \n",
       "  300.43,141.501 303.355,144.747 306.105,147.898 308.689,150.949 311.116,153.899 313.394,156.749 315.532,159.5 317.538,162.153 319.421,164.713 321.189,167.18 \n",
       "  322.851,169.559 324.414,171.853 325.886,174.065 327.273,176.199 328.583,178.257 329.823,180.243 330.999,182.16 332.116,184.009 333.181,185.795 334.2,187.519 \n",
       "  335.177,189.184 336.117,190.79 337.025,192.341 337.906,193.837 338.763,195.28 339.6,196.672 340.422,198.012 341.232,199.303 342.033,200.544 342.828,201.737 \n",
       "  343.62,202.881 344.412,203.978 345.207,205.027 346.007,206.028 346.814,206.981 347.631,207.887 348.46,208.744 349.302,209.553 350.16,210.312 351.035,211.022 \n",
       "  351.929,211.681 352.843,212.289 353.779,212.845 354.737,213.348 355.72,213.796 356.729,214.189 357.763,214.525 358.825,214.803 359.914,215.021 361.032,215.178 \n",
       "  362.18,215.272 363.356,215.302 364.563,215.266 365.799,215.162 367.065,214.988 368.361,214.742 369.686,214.423 371.039,214.029 372.421,213.557 373.83,213.006 \n",
       "  375.265,212.374 376.724,211.659 378.206,210.859 379.708,209.974 381.23,209.001 382.767,207.94 384.317,206.789 385.877,205.548 387.443,204.217 389.012,202.795 \n",
       "  390.579,201.283 392.139,199.681 393.687,197.992 395.219,196.216 396.728,194.357 398.208,192.417 399.652,190.401 401.055,188.312 402.408,186.158 403.705,183.942 \n",
       "  404.939,181.674 406.101,179.36 407.184,177.009 408.181,174.632 409.084,172.237 409.885,169.837 410.578,167.442 411.157,165.066 411.614,162.721 411.944,160.42 \n",
       "  412.143,158.177 412.205,156.004 412.129,153.916 411.911,151.925 411.55,150.043 411.045,148.282 410.399,146.654 409.611,145.168 408.686,143.832 407.626,142.655 \n",
       "  406.439,141.643 405.129,140.799 403.703,140.127 402.17,139.627 400.537,139.301 398.815,139.146 397.012,139.16 395.138,139.336 393.205,139.671 391.222,140.157 \n",
       "  389.199,140.786 387.146,141.549 385.074,142.439 382.992,143.445 380.909,144.557 378.834,145.767 376.775,147.063 374.739,148.437 372.733,149.878 370.764,151.379 \n",
       "  368.838,152.931 366.959,154.525 365.131,156.155 363.359,157.812 361.645,159.492 359.993,161.188 358.404,162.895 356.88,164.608 355.423,166.324 354.032,168.038 \n",
       "  352.71,169.748 351.455,171.451 350.268,173.143 349.148,174.824 348.094,176.492 347.106,178.144 346.183,179.781 345.324,181.399 344.527,183 343.791,184.582 \n",
       "  343.115,186.144 342.497,187.685 341.936,189.206 341.431,190.707 340.98,192.185 340.582,193.642 340.234,195.077 339.937,196.49 339.689,197.88 339.488,199.247 \n",
       "  339.333,200.59 339.223,201.91 339.158,203.207 339.136,204.479 339.155,205.726 339.217,206.948 339.319,208.145 339.46,209.315 339.642,210.459 339.862,211.576 \n",
       "  340.12,212.665 340.417,213.726 340.751,214.757 341.123,215.758 341.532,216.729 341.979,217.668 342.463,218.575 342.984,219.448 343.543,220.287 344.139,221.09 \n",
       "  344.774,221.857 345.446,222.585 346.157,223.274 346.907,223.923 347.696,224.529 348.525,225.092 349.394,225.609 350.304,226.08 351.255,226.501 352.248,226.872 \n",
       "  353.283,227.189 354.361,227.452 355.482,227.657 356.647,227.803 357.856,227.887 359.11,227.906 360.408,227.858 361.752,227.74 363.141,227.548 364.575,227.281 \n",
       "  366.054,226.935 367.579,226.506 369.147,225.992 370.76,225.389 372.415,224.694 374.113,223.904 375.851,223.015 377.627,222.023 379.44,220.927 381.288,219.722 \n",
       "  383.167,218.406 385.074,216.976 387.005,215.429 388.957,213.764 390.924,211.979 392.901,210.072 394.883,208.043 396.862,205.893 398.831,203.622 400.784,201.231 \n",
       "  402.71,198.724 404.602,196.104 406.45,193.375 408.243,190.546 409.971,187.621 411.623,184.612 413.188,181.527 414.653,178.379 416.007,175.182 417.238,171.949 \n",
       "  418.334,168.698 419.284,165.445 420.077,162.21 420.703,159.012 421.152,155.872 421.416,152.811 421.488,149.851 421.362,147.012 421.035,144.315 420.503,141.781 \n",
       "  419.766,139.429 418.825,137.275 417.684,135.335 416.347,133.623 414.822,132.15 413.118,130.923 411.244,129.948 409.213,129.227 407.038,128.761 404.733,128.546 \n",
       "  402.314,128.576 399.795,128.843 397.194,129.337 394.525,130.045 391.806,130.954 389.052,132.048 386.277,133.311 383.497,134.728 380.724,136.281 377.972,137.954 \n",
       "  375.252,139.732 372.574,141.597 369.948,143.537 367.382,145.536 364.882,147.583 362.457,149.665 360.109,151.774 357.843,153.898 355.663,156.03 353.57,158.163 \n",
       "  351.567,160.29 349.654,162.408 347.831,164.51 346.098,166.595 344.455,168.658 342.9,170.699 341.432,172.714 340.049,174.704 338.749,176.666 337.53,178.602 \n",
       "  336.389,180.509 335.323,182.389 334.332,184.242 333.411,186.067 332.558,187.865 331.771,189.637 331.046,191.383 330.382,193.104 329.776,194.799 329.225,196.47 \n",
       "  328.727,198.116 328.28,199.739 327.882,201.338 327.531,202.915 327.224,204.468 326.959,206 326.736,207.509 326.552,208.996 326.406,210.462 326.297,211.905 \n",
       "  326.222,213.327 326.181,214.728 326.174,216.107 326.198,217.464 326.253,218.8 326.338,220.114 326.452,221.406 326.596,222.676 326.768,223.923 326.968,225.149 \n",
       "  327.195,226.351 327.45,227.531 327.733,228.687 328.043,229.82 328.38,230.928 328.744,232.013 329.136,233.072 329.556,234.106 330.005,235.114 330.482,236.095 \n",
       "  330.988,237.049 331.524,237.976 332.09,238.874 332.687,239.742 333.316,240.58 333.977,241.387 334.673,242.161 335.402,242.903 336.167,243.609 336.969,244.28 \n",
       "  337.809,244.914 338.687,245.509 339.605,246.064 340.565,246.577 341.568,247.046 342.615,247.469 343.707,247.844 344.847,248.17 346.035,248.442 347.273,248.66 \n",
       "  348.562,248.819 349.905,248.917 351.302,248.951 352.756,248.918 354.267,248.813 355.836,248.633 357.467,248.374 359.158,248.031 360.912,247.6 362.73,247.076 \n",
       "  364.613,246.454 366.56,245.729 368.573,244.896 370.651,243.947 372.795,242.878 375.004,241.683 377.276,240.355 379.61,238.887 382.004,237.275 384.456,235.51 \n",
       "  386.962,233.587 389.517,231.5 392.118,229.244 394.757,226.812 397.429,224.201 400.125,221.406 402.836,218.425 405.551,215.255 408.26,211.897 410.95,208.351 \n",
       "  413.606,204.62 416.213,200.709 418.754,196.626 421.212,192.38 423.567,187.985 425.8,183.456 427.889,178.811 429.814,174.074 431.552,169.27 433.083,164.427 \n",
       "  434.384,159.577 435.435,154.754 436.218,149.997 436.715,145.343 436.91,140.833 436.792,136.507 436.349,132.407 435.577,128.572 434.473,125.038 433.038,121.839 \n",
       "  431.278,119.007 429.203,116.565 426.826,114.534 424.165,112.926 421.24,111.75 418.076,111.005 414.697,110.685 411.133,110.777 407.413,111.265 403.565,112.125 \n",
       "  399.621,113.33 395.608,114.85 391.556,116.652 387.492,118.702 383.438,120.967 379.42,123.411 375.456,126.002 371.566,128.71 367.764,131.504 364.064,134.36 \n",
       "  360.477,137.254 357.011,140.164 353.673,143.072 350.469,145.965 347.4,148.829 344.47,151.655 341.678,154.434 339.023,157.161 336.505,159.831 334.119,162.442 \n",
       "  331.863,164.993 329.734,167.484 327.726,169.914 325.836,172.285 324.058,174.598 322.388,176.856 320.82,179.061 319.35,181.215 317.971,183.321 316.679,185.381 \n",
       "  315.47,187.397 314.337,189.373 313.276,191.31 312.282,193.211 311.352,195.077 310.479,196.911 309.661,198.714 308.892,200.487 308.17,202.233 307.49,203.953 \n",
       "  306.848,205.647 306.243,207.317 305.669,208.964 305.124,210.588 304.605,212.191 304.11,213.772 303.635,215.333 303.179,216.875 302.738,218.397 302.311,219.899 \n",
       "  301.895,221.384 301.489,222.849 301.09,224.297 300.697,225.726 300.308,227.138 299.921,228.533 299.534,229.91 299.146,231.269 298.756,232.612 298.362,233.937 \n",
       "  297.963,235.246 297.557,236.537 297.143,237.811 296.72,239.068 296.286,240.308 295.841,241.532 295.382,242.737 294.91,243.926 294.422,245.098 293.917,246.252 \n",
       "  293.394,247.388 292.853,248.507 292.291,249.607 291.707,250.69 291.101,251.753 290.47,252.798 289.814,253.824 289.131,254.829 288.419,255.815 287.678,256.779 \n",
       "  286.906,257.723 286.101,258.644 285.262,259.541 284.388,260.415 283.476,261.265 282.525,262.088 281.533,262.883 280.499,263.651 279.421,264.388 278.297,265.093 \n",
       "  277.125,265.765 275.903,266.401 274.63,266.999 273.303,267.557 271.921,268.072 270.481,268.541 268.982,268.961 267.422,269.328 265.799,269.639 264.111,269.889 \n",
       "  262.357,270.074 260.534,270.19 258.642,270.23 256.679,270.189 254.644,270.061 252.536,269.84 250.354,269.518 248.098,269.087 245.768,268.54 243.365,267.868 \n",
       "  240.89,267.063 238.343,266.114 235.729,265.011 233.048,263.745 230.307,262.305 227.508,260.679 224.658,258.857 221.764,256.828 218.834,254.58 215.877,252.104 \n",
       "  212.904,249.389 209.928,246.425 206.963,243.204 204.023,239.721 201.126,235.968 198.291,231.945 195.538,227.649 192.888,223.085 190.366,218.257 187.994,213.177 \n",
       "  185.799,207.857 183.806,202.318 182.042,196.583 180.53,190.68 179.298,184.644 178.367,178.513 177.761,172.332 177.497,166.148 177.592,160.013 178.059,153.98 \n",
       "  178.905,148.107 180.134,142.449 181.745,137.061 183.731,131.997 186.08,127.306 188.777,123.032 191.799,119.213 195.122,115.878 198.716,113.052 202.55,110.746 \n",
       "  206.59,108.967 210.799,107.709 215.143,106.962 219.585,106.707 224.092,106.917 228.629,107.561 233.166,108.606 237.675,110.012 242.129,111.741 246.507,113.752 \n",
       "  250.789,116.005 254.958,118.464 259,121.09 262.905,123.85 266.664,126.714 270.272,129.653 273.724,132.642 277.019,135.66 280.157,138.687 283.137,141.709 \n",
       "  285.963,144.71 288.638,147.682 291.166,150.614 293.551,153.5 295.8,156.334 297.916,159.113 299.907,161.834 301.777,164.496 303.534,167.096 305.184,169.636 \n",
       "  306.732,172.115 308.185,174.534 309.548,176.894 310.828,179.197 312.031,181.443 313.161,183.635 314.224,185.773 315.226,187.86 316.171,189.896 317.063,191.884 \n",
       "  317.909,193.824 318.711,195.719 319.475,197.569 320.204,199.376 320.901,201.141 321.572,202.865 322.218,204.549 322.843,206.194 323.45,207.801 324.043,209.37 \n",
       "  324.624,210.903 325.195,212.4 325.76,213.862 326.32,215.288 326.879,216.68 327.437,218.037 327.998,219.361 328.563,220.65 329.135,221.906 329.714,223.128 \n",
       "  330.304,224.316 330.906,225.471 331.521,226.591 332.152,227.678 332.799,228.729 333.465,229.746 334.152,230.727 334.86,231.673 335.591,232.582 336.347,233.453 \n",
       "  337.129,234.286 337.94,235.08 338.779,235.834 339.65,236.547 340.553,237.217 341.49,237.844 342.463,238.425 343.472,238.959 344.52,239.445 345.609,239.88 \n",
       "  346.738,240.262 347.911,240.59 349.128,240.861 350.391,241.072 351.702,241.221 353.061,241.305 354.47,241.321 355.931,241.266 357.443,241.136 359.01,240.927 \n",
       "  360.631,240.637 362.307,240.26 364.04,239.793 365.828,239.231 367.674,238.57 369.576,237.805 371.535,236.931 373.55,235.944 375.62,234.837 377.744,233.607 \n",
       "  379.919,232.247 382.144,230.753 384.416,229.12 386.731,227.343 389.085,225.417 391.473,223.339 393.89,221.104 396.328,218.71 398.781,216.153 401.241,213.433 \n",
       "  403.697,210.549 406.14,207.502 408.557,204.294 410.938,200.928 413.268,197.411 415.532,193.749 417.716,189.953 419.804,186.033 421.778,182.005 423.621,177.885 \n",
       "  425.315,173.692 426.843,169.449 428.187,165.18 429.329,160.91 430.254,156.67 430.944,152.49 431.388,148.401 431.571,144.436 431.485,140.629 431.121,137.012 \n",
       "  430.475,133.617 429.544,130.475 428.33,127.612 426.836,125.055 425.07,122.823 423.043,120.934 420.768,119.399 418.262,118.227 415.542,117.419 412.631,116.972 \n",
       "  409.549,116.88 406.322,117.13 402.972,117.705 399.525,118.586 396.004,119.751 392.434,121.175 388.837,122.831 385.234,124.694 381.647,126.734 378.092,128.927 \n",
       "  374.587,131.245 371.147,133.665 367.784,136.164 364.508,138.721 361.33,141.317 358.257,143.936 355.294,146.563 352.446,149.185 349.716,151.792 347.106,154.375 \n",
       "  344.615,156.928 342.245,159.444 339.994,161.921 337.859,164.355 335.84,166.744 333.932,169.087 332.133,171.384 330.439,173.635 328.846,175.841 327.35,178.002 \n",
       "  325.947,180.121 324.633,182.198 323.404,184.236 322.256,186.235 321.183,188.198 320.183,190.126 319.251,192.021 318.383,193.883 317.575,195.716 316.824,197.52 \n",
       "  316.126,199.296 315.478,201.046 314.876,202.77 314.317,204.47 313.799,206.147 313.318,207.801 312.872,209.433 312.458,211.044 312.074,212.634 311.717,214.205 \n",
       "  311.385,215.756 311.077,217.287 310.79,218.801 310.523,220.295 310.274,221.772 310.041,223.232 309.823,224.673 309.618,226.098 309.426,227.506 309.244,228.897 \n",
       "  309.073,230.271 308.91,231.629 308.754,232.971 308.606,234.297 308.463,235.607 308.326,236.901 308.193,238.18 308.063,239.444 307.936,240.692 307.812,241.926 \n",
       "  307.689,243.144 307.568,244.348 307.446,245.537 307.325,246.712 307.204,247.872 307.081,249.019 306.957,250.151 306.83,251.27 306.702,252.375 306.57,253.467 \n",
       "  306.436,254.545 306.297,255.61 306.155,256.662 306.008,257.702 305.856,258.729 305.699,259.743 305.536,260.745 305.366,261.735 305.191,262.712 305.007,263.678 \n",
       "  304.817,264.632 304.618,265.575 304.411,266.506 304.195,267.426 303.969,268.335 303.733,269.233 303.487,270.12 303.229,270.997 302.959,271.863 302.677,272.718 \n",
       "  302.382,273.563 302.073,274.398 301.749,275.223 301.41,276.037 301.055,276.842 300.683,277.636 300.293,278.421 299.884,279.196 299.455,279.961 299.006,280.716 \n",
       "  298.535,281.461 298.041,282.196 297.523,282.92 296.979,283.635 296.409,284.339 295.811,285.032 295.184,285.714 294.526,286.385 293.835,287.045 293.11,287.692 \n",
       "  292.35,288.327 291.552,288.948 290.714,289.555 289.836,290.148 288.914,290.725 287.946,291.286 286.931,291.828 285.865,292.352 284.747,292.855 283.574,293.336 \n",
       "  282.344,293.792 281.054,294.223 279.7,294.625 278.281,294.996 276.793,295.333 275.233,295.633 273.599,295.892 271.886,296.105 270.093,296.27 268.215,296.381 \n",
       "  266.25,296.431 264.195,296.416 262.046,296.329 259.8,296.162 257.455,295.908 255.009,295.557 252.458,295.101 249.8,294.528 247.035,293.828 244.16,292.987 \n",
       "  241.176,291.994 238.083,290.833 234.88,289.489 231.571,287.946 228.159,286.187 224.648,284.194 221.043,281.948 217.353,279.429 213.587,276.617 209.756,273.493 \n",
       "  205.875,270.036 201.96,266.227 198.031,262.047 194.109,257.48 190.22,252.512 186.393,247.131 182.658,241.329 179.051,235.106 175.609,228.463 172.372,221.412 \n",
       "  169.383,213.972 166.687,206.169 164.327,198.04 162.349,189.634 160.797,181.007 159.711,172.229 159.13,163.377 159.086,154.539 159.605,145.809 160.706,137.288 \n",
       "  162.399,129.077 164.684,121.279 167.551,113.992 170.981,107.307 174.942,101.306 179.397,96.0543 184.297,91.6044 189.588,87.9896 195.211,85.2249 201.105,83.3069 \n",
       "  207.205,82.214 213.449,81.9088 219.776,82.34 226.129,83.4454 232.456,85.1546 238.71,87.3921 244.851,90.0808 250.844,93.1435 256.661,96.5063 262.279,100.1 \n",
       "  267.682,103.859 272.858,107.729 277.8,111.657 282.503,115.601 286.967,119.526 291.194,123.401 295.189,127.202 298.958,130.912 302.508,134.517 305.848,138.006 \n",
       "  308.986,141.375 311.932,144.619 314.697,147.737 317.289,150.73 319.72,153.599 321.999,156.349 324.135,158.981 326.139,161.502 328.019,163.914 329.785,166.223 \n",
       "  331.444,168.434 333.006,170.55 334.477,172.577 335.866,174.519 337.179,176.379 338.424,178.162 339.606,179.87 340.733,181.508 341.809,183.077 342.84,184.581 \n",
       "  343.832,186.022 344.788,187.402 345.714,188.723 346.614,189.986 347.492,191.194 348.352,192.348 349.197,193.448 350.031,194.495 350.856,195.49 351.675,196.435 \n",
       "  352.492,197.328 353.309,198.171 354.127,198.964 354.95,199.706 355.779,200.398 356.615,201.04 357.461,201.631 358.319,202.171 359.188,202.659 360.072,203.096 \n",
       "  360.97,203.48 361.884,203.811 362.814,204.088 363.761,204.31 364.726,204.477 365.71,204.587 366.711,204.641 367.731,204.636 368.77,204.572 369.826,204.449 \n",
       "  370.901,204.264 371.993,204.018 373.101,203.709 374.226,203.337 375.365,202.901 376.519,202.4 377.684,201.833 378.86,201.201 380.046,200.502 381.238,199.737 \n",
       "  382.435,198.906 383.635,198.008 384.834,197.045 386.031,196.016 387.221,194.923 388.402,193.767 389.571,192.549 390.723,191.272 391.855,189.937 392.962,188.548 \n",
       "  394.042,187.107 395.088,185.618 396.097,184.084 397.064,182.51 397.985,180.902 398.855,179.263 399.669,177.6 400.423,175.919 401.111,174.227 401.73,172.529 \n",
       "  402.276,170.835 402.744,169.15 403.13,167.483 403.432,165.841 403.646,164.234 403.769,162.667 403.799,161.151 403.735,159.692 403.576,158.299 403.32,156.977 \n",
       "  402.968,155.736 402.521,154.58 401.979,153.517 401.344,152.551 400.62,151.686 399.808,150.928 398.913,150.278 397.938,149.74 396.887,149.314 395.767,149.002 \n",
       "  394.582,148.804 393.338,148.718 392.041,148.742 390.696,148.876 389.311,149.114 387.891,149.455 386.443,149.894 384.973,150.426 383.487,151.046 381.992,151.749 \n",
       "  380.492,152.531 378.995,153.385 377.505,154.305 376.027,155.287 374.566,156.324 373.126,157.411 371.712,158.543 370.327,159.715 368.975,160.922 367.659,162.158 \n",
       "  366.382,163.42 365.145,164.704 363.952,166.005 362.803,167.32 361.701,168.645 360.647,169.978 359.641,171.315 358.685,172.655 357.779,173.993 356.923,175.329 \n",
       "  356.118,176.659 355.364,177.983 354.66,179.299 354.007,180.605 353.404,181.899 352.85,183.18 352.347,184.448 351.891,185.701 351.484,186.937 351.125,188.157 \n",
       "  350.813,189.358 350.547,190.541 350.327,191.704 350.152,192.846 350.021,193.967 349.934,195.066 349.89,196.142 349.889,197.194 349.929,198.222 350.011,199.224 \n",
       "  350.134,200.2 350.298,201.149 350.501,202.07 350.744,202.962 351.026,203.825 351.346,204.657 351.706,205.457 352.103,206.224 352.539,206.958 353.012,207.657 \n",
       "  353.523,208.32 354.071,208.946 354.656,209.533 355.279,210.081 355.938,210.588 356.634,211.052 357.367,211.473 358.137,211.848 358.943,212.177 359.785,212.457 \n",
       "  360.663,212.687 361.578,212.866 362.528,212.992 363.513,213.062 364.533,213.076 365.588,213.031 366.676,212.926 367.799,212.758 368.953,212.526 370.14,212.228 \n",
       "  371.358,211.863 372.605,211.428 373.881,210.921 375.184,210.341 376.512,209.687 377.864,208.956 379.238,208.147 380.63,207.26 382.04,206.292 383.463,205.244 \n",
       "  384.897,204.114 386.339,202.902 387.784,201.608 389.23,200.233 390.671,198.777 392.103,197.241 393.521,195.627 394.92,193.937 396.295,192.174 397.639,190.341 \n",
       "  398.947,188.443 400.213,186.483 401.43,184.468 402.591,182.403 403.69,180.295 404.72,178.151 405.675,175.98 406.548,173.79 407.331,171.591 408.02,169.393 \n",
       "  408.607,167.207 409.088,165.044 409.457,162.914 409.709,160.83 409.841,158.804 409.849,156.846 409.731,154.968 409.484,153.182 409.109,151.498 408.604,149.926 \n",
       "  407.972,148.475 407.214,147.154 406.333,145.969 405.333,144.928 404.218,144.035 402.995,143.294 401.669,142.706 400.247,142.274 398.737,141.997 397.147,141.872 \n",
       "  395.486,141.899 393.762,142.071 391.984,142.386 390.161,142.836 388.303,143.416 386.418,144.117 384.516,144.933 382.603,145.855 380.69,146.875 378.782,147.984 \n",
       "  376.889,149.175 375.015,150.437 373.168,151.765 371.353,153.149 369.576,154.582 367.841,156.057 366.152,157.567 364.512,159.107 362.926,160.67 361.395,162.251 \n",
       "  359.921,163.846 358.506,165.449 357.153,167.057 355.86,168.667 354.63,170.275 353.463,171.879 352.358,173.476 351.316,175.064 350.335,176.641 349.416,178.206 \n",
       "  348.559,179.757 347.761,181.292 347.022,182.812 346.341,184.314 345.717,185.798 345.15,187.264 344.637,188.71 344.177,190.136 343.77,191.542 343.414,192.927 \n",
       "  343.108,194.29 342.851,195.631 342.642,196.95 342.479,198.246 342.363,199.519 342.291,200.767 342.263,201.992 342.279,203.192 342.337,204.366 342.436,205.514 \n",
       "  342.576,206.636 342.757,207.731 342.978,208.798 343.238,209.836 343.538,210.845 343.876,211.824 344.252,212.772 344.668,213.689 345.121,214.572 345.613,215.422 \n",
       "  346.142,216.237 346.71,217.016 347.317,217.758 347.961,218.462 348.644,219.126 349.367,219.749 350.128,220.33 350.928,220.867 351.768,221.358 352.648,221.802 \n",
       "  353.569,222.197 354.53,222.541 355.531,222.832 356.574,223.068 357.658,223.247 358.784,223.368 359.952,223.426 361.161,223.421 362.413,223.349 363.706,223.209 \n",
       "  365.041,222.997 366.418,222.711 367.836,222.347 369.294,221.905 370.792,221.379 372.329,220.768 373.903,220.069 375.513,219.279 377.158,218.395 378.836,217.414 \n",
       "  380.544,216.335 382.279,215.154 384.039,213.87 385.82,212.48 387.618,210.983 389.429,209.379 391.248,207.665 393.07,205.841 394.889,203.909 396.699,201.869 \n",
       "  398.493,199.722 400.263,197.472 402.002,195.121 403.702,192.674 405.354,190.136 406.948,187.515 408.475,184.817 409.926,182.051 411.289,179.227 412.556,176.358 \n",
       "  413.716,173.454 414.758,170.53 415.674,167.601 416.453,164.683 417.087,161.791 417.567,158.944 417.887,156.158 418.039,153.453 418.018,150.846 417.821,148.355 \n",
       "  417.444,145.998 416.886,143.79 416.148,141.748 415.231,139.884 414.139,138.213 412.877,136.743 411.452,135.484 409.871,134.442 408.143,133.62 406.279,133.021 \n",
       "  404.291,132.644 402.191,132.486 399.992,132.541 397.707,132.803 395.349,133.264 392.934,133.912 390.474,134.737 387.983,135.725 385.474,136.865 382.959,138.141 \n",
       "  380.449,139.541 377.957,141.051 375.491,142.657 373.061,144.346 370.675,146.106 368.341,147.925 366.065,149.792 363.853,151.697 361.71,153.631 359.638,155.585 \n",
       "  357.642,157.553 355.724,159.527 353.885,161.503 352.128,163.474 350.451,165.438 348.856,167.39 347.342,169.327 345.909,171.247 344.555,173.149 343.28,175.029 \n",
       "  342.081,176.889 340.957,178.725 339.907,180.538 338.928,182.328 338.018,184.094 337.175,185.835 336.398,187.553 335.683,189.246 335.029,190.916 334.434,192.562 \n",
       "  333.895,194.184 333.411,195.782 332.979,197.357 332.598,198.909 332.266,200.438 331.981,201.944 331.742,203.427 331.546,204.887 331.393,206.325 331.281,207.739 \n",
       "  331.209,209.131 331.176,210.5 331.18,211.846 331.221,213.168 331.298,214.467 331.41,215.742 331.556,216.994 331.736,218.221 331.949,219.424 332.196,220.601 \n",
       "  332.475,221.753 332.786,222.88 333.13,223.98 333.507,225.053 333.915,226.098 334.356,227.115 334.83,228.104 335.336,229.062 335.876,229.991 336.45,230.888 \n",
       "  337.058,231.752 337.701,232.584 338.379,233.381 339.093,234.142 339.844,234.867 340.633,235.553 341.461,236.2 342.327,236.806 343.235,237.37 344.183,237.889 \n",
       "  345.174,238.361 346.208,238.786 347.287,239.159 348.412,239.481 349.583,239.747 350.803,239.956 352.071,240.104 353.389,240.189 354.759,240.208 356.18,240.157 \n",
       "  357.655,240.034 359.184,239.834 360.767,239.554 362.406,239.19 364.101,238.737 365.852,238.192 367.659,237.55 369.523,236.807 371.442,235.957 373.417,234.996 \n",
       "  375.446,233.919 377.528,232.72 379.661,231.396 381.843,229.941 384.07,228.35 386.341,226.619 388.649,224.742 390.991,222.717 393.361,220.54 395.753,218.207 \n",
       "  398.16,215.716 400.573,213.066 402.983,210.257 405.38,207.289 407.754,204.163 410.093,200.885 412.383,197.458 414.61,193.891 416.761,190.191 418.818,186.371 \n",
       "  420.767,182.444 422.589,178.427 424.269,174.336 425.789,170.194 427.132,166.024 428.28,161.851 429.219,157.702 429.932,153.607 430.407,149.597 430.63,145.702 \n",
       "  430.593,141.955 430.287,138.387 429.707,135.029 428.85,131.911 427.718,129.06 426.312,126.5 424.641,124.252 422.713,122.333 420.542,120.756 418.141,119.529 \n",
       "  415.53,118.655 412.726,118.133 409.752,117.956 406.63,118.114 403.384,118.593 400.035,119.374 396.61,120.437 393.129,121.758 389.616,123.313 386.092,125.076 \n",
       "  382.577,127.021 379.088,129.122 375.642,131.354 372.255,133.693 368.939,136.117 365.705,138.606 362.563,141.14 359.521,143.702 356.584,146.279 353.758,148.856 \n",
       "  351.046,151.424 348.449,153.974 345.97,156.497 343.608,158.989 341.362,161.445 339.232,163.861 337.214,166.235 335.307,168.566 333.508,170.853 331.812,173.096 \n",
       "  330.217,175.296 328.719,177.453 327.314,179.568 325.998,181.643 324.767,183.679 323.616,185.678 322.542,187.64 321.541,189.568 320.608,191.463 319.741,193.327 \n",
       "  318.935,195.16 318.186,196.965 317.491,198.742 316.848,200.493 316.252,202.218 315.7,203.919 315.19,205.597 314.719,207.251 314.283,208.884 313.882,210.496 \n",
       "  313.511,212.087 313.17,213.658 312.856,215.209 312.566,216.741 312.3,218.254 312.054,219.748 311.829,221.225 311.621,222.683 311.43,224.124 311.255,225.548 \n",
       "  311.094,226.954 310.945,228.344 310.809,229.716 310.683,231.073 310.568,232.412 310.461,233.736 310.363,235.043 310.272,236.335 310.188,237.611 310.11,238.871 \n",
       "  310.038,240.116 309.971,241.345 309.908,242.559 309.85,243.758 309.795,244.942 309.744,246.111 309.695,247.266 309.649,248.406 309.605,249.532 309.564,250.644 \n",
       "  309.524,251.742 309.485,252.826 309.447,253.896 309.411,254.952 309.375,255.995 309.34,257.025 309.305,258.042 309.27,259.045 309.235,260.036 309.201,261.014 \n",
       "  309.166,261.98 309.13,262.933 309.094,263.874 309.057,264.803 309.02,265.72 308.981,266.626 308.941,267.519 308.901,268.402 308.858,269.273 308.815,270.133 \n",
       "  308.769,270.982 308.722,271.82 308.673,272.647 308.622,273.464 308.569,274.271 308.514,275.068 308.456,275.854 308.396,276.63 308.333,277.397 308.267,278.154 \n",
       "  308.198,278.902 308.126,279.64 308.05,280.37 307.971,281.09 307.888,281.801 307.801,282.504 307.709,283.198 307.614,283.884 307.513,284.561 307.408,285.23 \n",
       "  307.297,285.892 307.181,286.545 307.059,287.191 306.931,287.829 306.796,288.459 306.655,289.083 306.507,289.699 306.351,290.308 306.187,290.911 306.014,291.506 \n",
       "  305.833,292.095 305.643,292.678 305.443,293.254 305.233,293.823 305.012,294.387 304.779,294.945 304.535,295.496 304.277,296.042 304.007,296.583 303.722,297.117 \n",
       "  303.423,297.646 303.108,298.17 302.776,298.688 302.427,299.201 302.06,299.708 301.674,300.211 301.267,300.708 300.839,301.199 300.389,301.686 299.914,302.166 \n",
       "  299.415,302.642 298.889,303.112 298.336,303.576 297.753,304.034 297.14,304.487 296.493,304.932 295.813,305.371 295.097,305.803 294.342,306.227 293.548,306.643 \n",
       "  292.711,307.05 291.83,307.447 290.902,307.834 289.925,308.209 288.897,308.571 287.813,308.92 286.673,309.253 285.473,309.57 284.209,309.867 282.879,310.143 \n",
       "  281.479,310.395 280.006,310.621 278.457,310.818 276.827,310.982 275.113,311.11 273.311,311.196 271.418,311.236 269.429,311.225 267.34,311.157 265.147,311.024 \n",
       "  262.846,310.82 260.433,310.536 257.905,310.163 255.258,309.691 252.488,309.108 249.592,308.403 246.568,307.561 243.413,306.568 240.127,305.408 236.708,304.064 \n",
       "  233.157,302.516 229.475,300.745 225.665,298.728 221.732,296.443 217.681,293.866 213.522,290.971 209.266,287.732 204.925,284.122 200.516,280.116 196.061,275.686 \n",
       "  191.581,270.808 187.106,265.458 182.666,259.617 178.297,253.268 174.041,246.401 169.942,239.011 166.049,231.102 162.414,222.689 159.093,213.795 156.143,204.459 \n",
       "  153.622,194.732 151.59,184.68 150.101,174.384 149.208,163.939 148.957,153.455 149.387,143.053 150.526,132.863 152.391,123.021 154.986,113.663 158.301,104.922 \n",
       "  162.312,96.9233 166.98,89.776 172.255,83.5717 178.073,78.3793 184.364,74.2423 191.047,71.1772 198.042,69.1743 205.265,68.1982 212.633,68.1912 220.069,69.0769 \n",
       "  227.501,70.7644 234.865,73.1534 242.104,76.1385 249.171,79.6134 256.027,83.475 262.642,87.6263 268.995,91.9783 275.068,96.4515 280.853,100.977 286.346,105.497 \n",
       "  291.547,109.962 296.46,114.334 301.09,118.583 305.447,122.687 309.541,126.63 313.382,130.402 316.983,133.997 320.355,137.415 323.512,140.656 326.465,143.723 \n",
       "  329.226,146.622 331.807,149.359 334.221,151.942 336.477,154.378 338.587,156.674 340.561,158.838 342.408,160.879 344.138,162.803 345.76,164.617 347.281,166.328 \n",
       "  348.71,167.943 350.054,169.466 351.32,170.905 352.514,172.262 353.643,173.544 354.713,174.754 355.728,175.895 356.694,176.973 357.615,177.989 358.497,178.946 \n",
       "  359.342,179.847 360.156,180.694 360.94,181.49 361.7,182.235 362.436,182.933 363.154,183.583 363.854,184.188 364.539,184.749 365.212,185.266 365.874,185.741 \n",
       "  366.528,186.175 367.173,186.567 367.813,186.919 368.449,187.232 369.08,187.505 369.709,187.739 370.336,187.935 370.962,188.093 371.586,188.214 372.211,188.297 \n",
       "  372.835,188.343 373.46,188.353 374.085,188.326 374.709,188.263 375.334,188.165 375.958,188.032 376.581,187.864 377.203,187.661 377.823,187.425 378.44,187.156 \n",
       "  379.055,186.854 379.665,186.52 380.27,186.155 380.869,185.76 381.461,185.335 382.045,184.882 382.619,184.402 383.183,183.895 383.735,183.364 384.273,182.809 \n",
       "  384.797,182.232 385.305,181.634 385.796,181.018 386.268,180.384 386.72,179.736 387.15,179.074 387.556,178.401 387.939,177.718 388.295,177.029 388.624,176.335 \n",
       "  388.925,175.639 389.196,174.944 389.436,174.25 389.645,173.562 389.82,172.882 389.961,172.211 390.068,171.553 390.14,170.911 390.176,170.285 390.176,169.68 \n",
       "  390.14,169.097 390.067,168.539 389.958,168.007 389.812,167.504 389.63,167.032 389.413,166.592 389.161,166.187 388.875,165.817 388.555,165.485 388.204,165.19 \n",
       "  387.821,164.935 387.409,164.721 386.969,164.546 386.502,164.413 386.01,164.322 385.494,164.272 384.957,164.263 384.401,164.296 383.827,164.369 383.237,164.482 \n",
       "  382.634,164.635 382.019,164.826 381.394,165.054 380.762,165.319 380.124,165.619 379.483,165.952 378.841,166.317 378.199,166.714 377.56,167.139 376.924,167.592 \n",
       "  376.295,168.07 375.674,168.573 375.062,169.098 374.461,169.644 373.873,170.209 373.299,170.792 372.74,171.39 372.198,172.002 371.673,172.626 371.168,173.26 \n",
       "  370.682,173.904 370.218,174.555 369.775,175.212 369.354,175.873 368.957,176.538 368.583,177.203 368.234,177.869 367.91,178.534 367.611,179.196 367.338,179.855 \n",
       "  367.091,180.508 366.871,181.155 366.677,181.795 366.509,182.426 366.369,183.048 366.255,183.659 366.168,184.258 366.109,184.844 366.076,185.417 366.07,185.975 \n",
       "  366.09,186.517 366.138,187.042 366.211,187.55 366.311,188.039 366.437,188.509 366.589,188.958 366.766,189.387 366.969,189.793 367.196,190.177 367.448,190.537 \n",
       "  367.725,190.873 368.025,191.183 368.348,191.467 368.694,191.725 369.063,191.955 369.454,192.157 369.866,192.33 370.299,192.473 370.752,192.586 371.225,192.668 \n",
       "  371.717,192.719 372.227,192.737 372.754,192.723 373.297,192.675 373.857,192.594 374.431,192.479 375.019,192.33 375.619,192.146 376.232,191.927 376.854,191.673 \n",
       "  377.486,191.383 378.127,191.059 378.773,190.699 379.426,190.305 380.082,189.875 380.74,189.412 381.399,188.914 382.057,188.383 382.713,187.82 383.365,187.225 \n",
       "  384.01,186.599 384.647,185.943 385.274,185.259 385.89,184.547 386.491,183.811 387.077,183.05 387.645,182.267 388.193,181.465 388.719,180.644 389.221,179.808 \n",
       "  389.696,178.959 390.144,178.099 390.562,177.231 390.948,176.358 391.3,175.483 391.617,174.609 391.897,173.738 392.138,172.875 392.339,172.021 392.499,171.181 \n",
       "  392.616,170.358 392.691,169.555 392.721,168.774 392.706,168.02 392.646,167.295 392.541,166.601 392.39,165.943 392.195,165.322 391.954,164.742 391.669,164.203 \n",
       "  391.341,163.709 390.971,163.261 390.56,162.861 390.108,162.511 389.619,162.211 389.093,161.962 388.533,161.766 387.941,161.622 387.318,161.53 386.667,161.491 \n",
       "  385.991,161.504 385.292,161.569 384.572,161.684 383.835,161.849 383.082,162.063 382.317,162.323 381.542,162.63 380.759,162.979 379.972,163.371 379.183,163.803 \n",
       "  378.394,164.274 377.608,164.78 376.827,165.32 376.053,165.891 375.289,166.492 374.536,167.121 373.797,167.774 373.074,168.45 372.367,169.147 371.68,169.863 \n",
       "  371.012,170.595 370.367,171.342 369.744,172.1 369.146,172.87 368.572,173.648 368.025,174.433 367.505,175.222 367.013,176.016 366.55,176.81 366.115,177.605 \n",
       "  365.711,178.399 365.336,179.189 364.992,179.975 364.678,180.756 364.396,181.529 364.145,182.294 363.925,183.05 363.736,183.795 363.579,184.528 363.453,185.248 \n",
       "  363.358,185.954 363.295,186.645 363.263,187.319 363.261,187.976 363.291,188.615 363.351,189.235 363.441,189.835 363.562,190.413 363.713,190.97 363.893,191.503 \n",
       "  364.102,192.012 364.34,192.496 364.607,192.955 364.902,193.386 365.225,193.79 365.576,194.165 365.953,194.511 366.357,194.827 366.787,195.111 367.243,195.363 \n",
       "  367.724,195.582 368.229,195.767 368.759,195.918 369.311,196.033 369.887,196.112 370.484,196.153 371.102,196.157 371.74,196.122 372.398,196.048 373.074,195.935 \n",
       "  373.768,195.78 374.478,195.585 375.203,195.349 375.942,195.07 376.694,194.75 377.458,194.386 378.231,193.981 379.012,193.533 379.8,193.042 380.594,192.508 \n",
       "  381.39,191.933 382.188,191.316 382.985,190.658 383.779,189.96 384.568,189.222 385.35,188.446 386.123,187.633 386.883,186.784 387.63,185.902 388.359,184.987 \n",
       "  389.069,184.043 389.757,183.071 390.42,182.073 391.056,181.053 391.662,180.014 392.235,178.958 392.773,177.889 393.273,176.811 393.732,175.726 394.149,174.64 \n",
       "  394.521,173.555 394.846,172.476 395.122,171.407 395.346,170.353 395.518,169.317 395.636,168.303 395.699,167.318 395.705,166.363 395.654,165.444 395.545,164.564 \n",
       "  395.379,163.727 395.156,162.938 394.875,162.198 394.538,161.513 394.145,160.883 393.698,160.312 393.198,159.803 392.647,159.356 392.048,158.974 391.401,158.658 \n",
       "  390.711,158.409 389.98,158.226 389.21,158.111 388.405,158.062 387.568,158.08 386.702,158.163 385.811,158.31 384.897,158.519 383.965,158.789 383.018,159.118 \n",
       "  382.06,159.503 381.093,159.942 380.121,160.433 379.148,160.972 378.177,161.558 377.21,162.186 376.251,162.855 375.303,163.561 374.367,164.301 373.448,165.073 \n",
       "  372.546,165.874 371.664,166.7 370.805,167.549 369.971,168.419 369.162,169.306 368.38,170.209 367.628,171.125 366.905,172.051 366.214,172.986 365.556,173.927 \n",
       "  364.93,174.872 364.339,175.82 363.782,176.768 363.26,177.715 362.774,178.659 362.324,179.598 361.91,180.532 361.532,181.458 361.191,182.375 360.886,183.282 \n",
       "  360.618,184.178 360.386,185.061 360.191,185.93 360.032,186.785 359.909,187.623 359.822,188.444 359.77,189.247 359.754,190.031 359.773,190.795 359.827,191.537 \n",
       "  359.915,192.258 360.037,192.955 360.194,193.627 360.384,194.275 360.607,194.896 360.864,195.491 361.153,196.057 361.474,196.594 361.827,197.101 362.211,197.576 \n",
       "  362.627,198.02 363.073,198.43 363.55,198.806 364.057,199.147 364.593,199.452 365.158,199.719 365.751,199.948 366.372,200.138 367.021,200.287 367.696,200.394 \n",
       "  368.397,200.459 369.124,200.481 369.875,200.458 370.649,200.389 371.447,200.274 372.266,200.112 373.106,199.902 373.965,199.643 374.843,199.334 375.737,198.975 \n",
       "  376.647,198.564 377.571,198.103 378.508,197.59 379.454,197.024 380.41,196.407 381.372,195.737 382.338,195.016 383.306,194.242 384.274,193.418 385.239,192.544 \n",
       "  386.199,191.62 387.15,190.648 388.089,189.63 389.015,188.567 389.922,187.461 390.809,186.314 391.672,185.129 392.507,183.91 393.31,182.658 394.08,181.378 \n",
       "  394.811,180.073 395.5,178.748 396.144,177.407 396.74,176.055 397.284,174.696 397.773,173.335 398.203,171.979 398.573,170.632 398.878,169.301 399.118,167.99 \n",
       "  399.289,166.707 399.39,165.456 399.419,164.243 399.375,163.075 399.257,161.956 399.065,160.892 398.799,159.888 398.459,158.949 398.046,158.079 397.562,157.282 \n",
       "  397.007,156.561 396.384,155.92 395.695,155.361 394.944,154.887 394.132,154.498 393.265,154.196 392.345,153.981 391.376,153.852 390.363,153.81 389.31,153.853 \n",
       "  388.222,153.979 387.103,154.187 385.957,154.474 384.79,154.837 383.605,155.273 382.409,155.778 381.204,156.35 379.996,156.984 378.789,157.677 377.587,158.424 \n",
       "  376.393,159.222 375.212,160.066 374.046,160.953 372.9,161.879 371.776,162.84 370.677,163.832 369.606,164.851 368.564,165.894 367.554,166.959 366.579,168.041 \n",
       "  365.639,169.137 364.735,170.245 363.871,171.363 363.045,172.487 362.26,173.615 361.516,174.745 360.813,175.875 360.153,177.003 359.535,178.128 358.96,179.246 \n",
       "  358.428,180.358 357.938,181.461 357.491,182.553 357.087,183.635 356.725,184.704 356.406,185.758 356.128,186.798 355.892,187.822 355.698,188.828 355.544,189.817 \n",
       "  355.431,190.786 355.358,191.735 355.325,192.662 355.331,193.568 355.376,194.451 355.46,195.309 355.581,196.143 355.741,196.95 355.937,197.731 356.171,198.484 \n",
       "  356.442,199.208 356.748,199.902 357.091,200.565 357.469,201.196 357.883,201.794 358.332,202.358 358.815,202.887 359.333,203.379 359.884,203.834 360.47,204.251 \n",
       "  361.088,204.627 361.74,204.962 362.425,205.255 363.141,205.503 363.89,205.707 364.67,205.865 365.481,205.975 366.322,206.036 367.192,206.046 368.092,206.005 \n",
       "  369.02,205.911 369.975,205.762 370.957,205.558 371.964,205.296 372.996,204.977 374.05,204.598 375.126,204.159 376.223,203.659 377.337,203.096 378.468,202.47 \n",
       "  379.614,201.78 380.773,201.026 381.941,200.207 383.117,199.323 384.298,198.374 385.481,197.361 386.662,196.284 387.84,195.143 389.009,193.941 390.166,192.678 \n",
       "  391.308,191.357 392.43,189.979 393.528,188.548 394.598,187.066 395.634,185.537 396.634,183.965 397.591,182.354 398.5,180.71 399.358,179.037 400.159,177.342 \n",
       "  400.899,175.63 401.573,173.908 402.176,172.184 402.704,170.465 403.152,168.758 403.519,167.071 403.798,165.412 403.989,163.79 404.087,162.212 404.092,160.687 \n",
       "  404,159.222 403.812,157.825 403.527,156.505 403.144,155.266 402.665,154.117 402.091,153.062 401.424,152.108 400.666,151.258 399.821,150.517 398.893,149.887 \n",
       "  397.884,149.37 396.802,148.969 395.65,148.682 394.433,148.511 393.159,148.453 391.832,148.507 390.46,148.67 389.047,148.939 387.602,149.311 386.13,149.78 \n",
       "  384.638,150.343 383.132,150.994 381.617,151.727 380.101,152.538 378.588,153.42 377.084,154.368 375.594,155.376 374.122,156.438 372.674,157.55 371.252,158.705 \n",
       "  369.862,159.899 368.506,161.126 367.186,162.382 365.907,163.662 364.67,164.963 363.477,166.28 362.33,167.61 361.23,168.949 360.179,170.295 359.178,171.644 \n",
       "  358.226,172.994 357.325,174.342 356.476,175.687 355.677,177.027 354.93,178.359 354.234,179.682 353.589,180.994 352.994,182.295 352.449,183.582 351.953,184.855 \n",
       "  351.507,186.112 351.109,187.353 350.758,188.577 350.455,189.782 350.198,190.968 349.987,192.134 349.821,193.28 349.7,194.403 349.622,195.504 349.587,196.582 \n",
       "  349.595,197.636 349.645,198.665 349.736,199.669 349.868,200.646 350.04,201.596 350.253,202.517 350.505,203.41 350.796,204.273 351.126,205.105 351.494,205.904 \n",
       "  351.901,206.671 352.345,207.404 352.828,208.102 353.348,208.764 353.906,209.388 354.5,209.974 355.132,210.52 355.801,211.024 356.508,211.486 357.25,211.904 \n",
       "  358.03,212.276 358.846,212.601 359.699,212.877 360.588,213.103 361.513,213.277 362.474,213.397 363.471,213.462 364.502,213.469 365.569,213.417 366.67,213.305 \n",
       "  367.804,213.129 368.972,212.889 370.171,212.582 371.402,212.206 372.662,211.76 373.952,211.242 375.269,210.65 376.611,209.982 377.977,209.237 379.365,208.414 \n",
       "  380.773,207.511 382.197,206.526 383.635,205.46 385.084,204.311 386.54,203.08 388,201.765 389.46,200.368 390.915,198.889 392.361,197.33 393.793,195.691 \n",
       "  395.205,193.976 396.592,192.187 397.948,190.327 399.267,188.401 400.543,186.414 401.769,184.37 402.938,182.276 404.044,180.139 405.079,177.966 406.038,175.766 \n",
       "  406.912,173.548 407.696,171.322 408.383,169.098 408.967,166.886 409.442,164.698 409.804,162.546 410.047,160.441 410.167,158.396 410.161,156.421 410.027,154.529 \n",
       "  409.763,152.732 409.368,151.039 408.842,149.46 408.187,148.007 407.405,146.685 406.498,145.504 405.47,144.468 404.327,143.584 403.075,142.854 401.719,142.28 \n",
       "  400.267,141.864 398.727,141.605 397.108,141.502 395.416,141.55 393.663,141.747 391.857,142.086 390.006,142.563 388.121,143.169 386.211,143.898 384.283,144.741 \n",
       "  382.348,145.691 380.412,146.738 378.484,147.874 376.571,149.09 374.679,150.379 372.816,151.731 370.986,153.139 369.196,154.595 367.448,156.092 365.748,157.623 \n",
       "  364.1,159.183 362.505,160.765 360.966,162.364 359.487,163.975 358.067,165.594 356.71,167.217 355.414,168.841 354.182,170.463 353.013,172.079 351.907,173.688 \n",
       "  350.864,175.287 349.883,176.874 348.965,178.449 348.108,180.009 347.312,181.553 346.574,183.081 345.896,184.592 345.274,186.084 344.708,187.557 344.197,189.01 \n",
       "  343.74,190.443 343.335,191.856 342.982,193.247 342.678,194.617 342.424,195.964 342.217,197.289 342.057,198.592 341.943,199.87 341.873,201.125 341.848,202.356 \n",
       "  341.865,203.561 341.925,204.742 342.026,205.896 342.168,207.024 342.35,208.125 342.572,209.198 342.834,210.242 343.134,211.258 343.473,212.243 343.851,213.198 \n",
       "  344.267,214.12 344.721,215.011 345.213,215.867 345.744,216.689 346.312,217.475 346.919,218.224 347.564,218.935 348.248,219.607 348.97,220.238 349.732,220.826 \n",
       "  350.533,221.371 351.373,221.87 352.254,222.322 353.175,222.725 354.137,223.078 355.14,223.377 356.184,223.622 357.27,223.811 358.397,223.94 359.567,224.008 \n",
       "  360.779,224.012 362.034,223.949 363.33,223.818 364.669,223.615 366.05,223.338 367.473,222.985 368.937,222.551 370.441,222.034 371.985,221.432 373.567,220.741 \n",
       "  375.186,219.959 376.841,219.083 378.529,218.109 380.249,217.036 381.997,215.861 383.771,214.581 385.567,213.195 387.382,211.701 389.211,210.097 391.05,208.383 \n",
       "  392.893,206.558 394.734,204.622 396.567,202.577 398.386,200.422 400.183,198.162 401.95,195.799 403.679,193.337 405.361,190.782 406.987,188.139 408.547,185.417 \n",
       "  410.031,182.625 411.429,179.771 412.731,176.869 413.925,173.929 415.003,170.966 415.954,167.994 416.767,165.03 417.435,162.091 417.948,159.193 418.298,156.356 \n",
       "  418.48,153.596 418.486,150.934 418.313,148.387 417.958,145.973 417.42,143.71 416.697,141.612 415.793,139.695 414.71,137.971 413.453,136.452 412.028,135.146 \n",
       "  410.444,134.061 408.71,133.2 406.836,132.566 404.834,132.157 402.717,131.972 400.497,132.005 398.189,132.25 395.806,132.697 393.362,133.336 390.872,134.156 \n",
       "  388.349,135.144 385.806,136.287 383.257,137.57 380.712,138.979 378.184,140.5 375.682,142.12 373.216,143.825 370.794,145.602 368.425,147.44 366.114,149.327 \n",
       "  363.868,151.252 361.691,153.207 359.588,155.182 357.56,157.171 355.612,159.166 353.745,161.162 351.959,163.154 350.256,165.137 348.635,167.108 347.097,169.064 \n",
       "  345.64,171.002 344.264,172.921 342.967,174.818 341.748,176.694 340.605,178.546 339.536,180.375 338.54,182.179 337.613,183.959 336.754,185.715 335.96,187.446 \n",
       "  335.231,189.152 334.562,190.835 333.952,192.493 333.4,194.128 332.902,195.739 332.457,197.326 332.063,198.89 331.718,200.431 331.42,201.949 331.168,203.445 \n",
       "  330.96,204.917 330.794,206.367 330.67,207.794 330.585,209.198 330.538,210.58 330.529,211.938 330.556,213.274 330.619,214.586 330.717,215.876 330.849,217.141 \n",
       "  331.014,218.383 331.212,219.6 331.443,220.793 331.706,221.961 332.001,223.104 332.327,224.221 332.686,225.311 333.076,226.375 333.498,227.411 333.952,228.419 \n",
       "  334.438,229.398 334.957,230.347 335.509,231.266 336.094,232.154 336.714,233.009 337.368,233.831 338.058,234.619 338.783,235.371 339.546,236.086 340.346,236.763 \n",
       "  341.185,237.401 342.063,237.997 342.982,238.55 343.943,239.059 344.947,239.522 345.994,239.936 347.086,240.299 348.225,240.609 349.41,240.864 350.644,241.061 \n",
       "  351.928,241.198 353.263,241.27 354.649,241.276 356.088,241.211 357.581,241.073 359.129,240.858 360.733,240.562 362.393,240.181 364.11,239.71 365.884,239.146 \n",
       "  367.716,238.483 369.605,237.717 371.551,236.843 373.553,235.857 375.611,234.752 377.723,233.525 379.887,232.169 382.101,230.679 384.362,229.052 386.666,227.281 \n",
       "  389.01,225.363 391.387,223.293 393.794,221.067 396.223,218.682 398.666,216.137 401.117,213.428 403.564,210.557 405.998,207.523 408.408,204.329 410.781,200.979 \n",
       "  413.104,197.477 415.363,193.831 417.541,190.052 419.624,186.149 421.595,182.138 423.436,178.035 425.129,173.859 426.658,169.633 428.003,165.379 429.149,161.125 \n",
       "  430.078,156.899 430.775,152.731 431.226,148.654 431.42,144.698 431.345,140.899 430.994,137.287 430.361,133.895 429.446,130.753 428.248,127.889 426.773,125.326 \n",
       "  425.026,123.087 423.018,121.189 420.763,119.642 418.277,118.456 415.577,117.633 412.686,117.169 409.624,117.058 406.415,117.289 403.084,117.844 399.654,118.705 \n",
       "  396.15,119.85 392.595,121.253 389.011,122.89 385.422,124.734 381.846,126.756 378.301,128.932 374.806,131.235 371.373,133.641 368.016,136.127 364.747,138.672 \n",
       "  361.574,141.257 358.504,143.866 355.544,146.485 352.698,149.1 349.97,151.7 347.36,154.279 344.87,156.827 342.499,159.34 340.247,161.814 338.112,164.246 \n",
       "  336.092,166.633 334.183,168.974 332.382,171.27 330.686,173.521 329.092,175.726 327.595,177.888 326.191,180.006 324.875,182.084 323.645,184.122 322.495,186.121 \n",
       "  321.421,188.085 320.42,190.013 319.487,191.908 318.619,193.771 317.81,195.605 317.059,197.409 316.361,199.186 315.713,200.936 315.112,202.661 314.554,204.361 \n",
       "  314.037,206.038 313.557,207.693 313.112,209.325 312.7,210.937 312.318,212.528 311.963,214.098 311.634,215.65 311.329,217.182 311.046,218.695 310.782,220.19 \n",
       "  310.536,221.668 310.308,223.127 310.094,224.569 309.894,225.994 309.707,227.401 309.531,228.792 309.365,230.167 309.208,231.525 309.059,232.867 308.918,234.193 \n",
       "  308.783,235.503 308.653,236.797 308.528,238.076 308.407,239.339 308.29,240.587 308.175,241.82 308.062,243.038 307.951,244.242 307.841,245.431 307.732,246.605 \n",
       "  307.622,247.765 307.512,248.911 307.402,250.043 307.29,251.161 307.176,252.265 307.06,253.356 306.942,254.434 306.821,255.498 306.696,256.549 306.568,257.588 \n",
       "  306.436,258.613 306.299,259.627 306.158,260.628 306.011,261.616 305.859,262.593 305.7,263.558 305.536,264.511 305.364,265.452 305.186,266.383 305,267.301 \n",
       "  304.805,268.209 304.602,269.106 304.39,269.992 304.168,270.868 303.936,271.733 303.694,272.587 303.44,273.432 303.174,274.266 302.896,275.09 302.604,275.905 \n",
       "  302.299,276.71 301.979,277.504 301.644,278.29 301.292,279.066 300.924,279.832 300.538,280.589 300.133,281.336 299.708,282.074 299.263,282.803 298.796,283.522 \n",
       "  298.305,284.232 297.791,284.932 297.251,285.622 296.685,286.302 296.091,286.972 295.467,287.632 294.812,288.28 294.125,288.918 293.404,289.544 292.647,290.158 \n",
       "  291.852,290.76 291.018,291.348 290.142,291.922 289.223,292.481 288.257,293.024 287.244,293.549 286.181,294.057 285.065,294.544 283.893,295.01 282.664,295.453 \n",
       "  281.374,295.87 280.02,296.259 278.601,296.618 277.111,296.944 275.55,297.233 273.913,297.482 272.197,297.687 270.4,297.844 268.517,297.947 266.546,297.99 \n",
       "  264.483,297.969 262.326,297.876 260.07,297.705 257.714,297.446 255.255,297.091 252.689,296.631 250.015,296.055 247.231,295.351 244.336,294.507 241.329,293.509 \n",
       "  238.21,292.344 234.98,290.995 231.641,289.446 228.195,287.679 224.648,285.676 221.004,283.418 217.272,280.884 213.46,278.054 209.581,274.907 205.649,271.422 \n",
       "  201.68,267.58 197.693,263.361 193.712,258.748 189.761,253.725 185.87,248.281 182.072,242.408 178.4,236.102 174.894,229.366 171.595,222.212 168.546,214.656 \n",
       "  165.794,206.727 163.383,198.462 161.361,189.909 159.772,181.128 158.659,172.188 158.061,163.17 158.012,154.163 158.538,145.265 159.661,136.579 161.388,128.21 \n",
       "  163.722,120.265 166.651,112.844 170.155,106.042 174.203,99.9419 178.754,94.6127 183.759,90.107 189.162,86.459 194.902,83.6833 200.915,81.7754 207.136,80.7121 \n",
       "  213.499,80.4538 219.942,80.9464 226.408,82.1247 232.842,83.9153 239.197,86.24 245.432,89.0184 251.512,92.1712 257.41,95.622 263.101,99.2994 268.571,103.138 \n",
       "  273.807,107.08 278.802,111.073 283.553,115.076 288.06,119.05 292.326,122.967 296.355,126.803 300.154,130.541 303.731,134.166 307.095,137.67 310.254,141.046 \n",
       "  313.219,144.293 316.001,147.409 318.608,150.395 321.053,153.254 323.344,155.989 325.491,158.604 327.504,161.104 329.394,163.493 331.167,165.777 332.834,167.961 \n",
       "  334.402,170.048 335.879,172.045 337.274,173.955 338.592,175.782 339.841,177.53 341.028,179.204 342.158,180.805 343.237,182.338 344.271,183.805 345.265,185.208 \n",
       "  346.223,186.55 347.151,187.832 348.052,189.057 348.931,190.226 349.79,191.34 350.635,192.4 351.467,193.407 352.291,194.363 353.108,195.267 353.922,196.12 \n",
       "  354.734,196.923 355.548,197.675 356.365,198.377 357.187,199.03 358.016,199.631 358.854,200.183 359.702,200.683 360.56,201.133 361.432,201.531 362.316,201.877 \n",
       "  363.215,202.17 364.129,202.41 365.058,202.596 366.003,202.728 366.965,202.804 367.942,202.824 368.937,202.788 369.947,202.693 370.974,202.541 372.016,202.329 \n",
       "  373.073,202.058 374.144,201.726 375.228,201.333 376.325,200.879 377.432,200.362 378.549,199.783 379.674,199.142 380.804,198.438 381.939,197.671 383.075,196.842 \n",
       "  384.21,195.951 385.343,194.999 386.469,193.987 387.586,192.915 388.691,191.787 389.781,190.602 390.851,189.364 391.898,188.075 392.919,186.737 393.91,185.354 \n",
       "  394.866,183.93 395.783,182.469 396.657,180.974 397.484,179.451 398.259,177.905 398.979,176.342 399.639,174.766 400.236,173.185 400.765,171.606 401.222,170.034 \n",
       "  401.605,168.476 401.91,166.941 402.134,165.435 402.275,163.966 402.331,162.54 402.3,161.165 402.18,159.847 401.973,158.595 401.676,157.413 401.291,156.308 \n",
       "  400.818,155.286 400.26,154.351 399.617,153.509 398.893,152.762 398.09,152.114 397.212,151.567 396.263,151.123 395.247,150.784 394.168,150.549 393.033,150.418 \n",
       "  391.846,150.39 390.612,150.463 389.338,150.634 388.028,150.902 386.689,151.263 385.326,151.712 383.946,152.246 382.553,152.86 381.153,153.55 379.751,154.31 \n",
       "  378.353,155.136 376.963,156.023 375.586,156.965 374.226,157.958 372.887,158.996 371.573,160.076 370.287,161.192 369.032,162.34 367.811,163.516 366.627,164.715 \n",
       "  365.482,165.934 364.377,167.17 363.315,168.418 362.296,169.677 361.323,170.942 360.395,172.211 359.514,173.483 358.681,174.753 357.895,176.021 357.157,177.285 \n",
       "  356.467,178.542 355.825,179.791 355.231,181.031 354.685,182.259 354.186,183.475 353.734,184.678 353.329,185.866 352.97,187.038 352.657,188.194 352.388,189.331 \n",
       "  352.165,190.45 351.985,191.55 351.849,192.629 351.755,193.686 351.704,194.721 351.695,195.733 351.728,196.721 351.801,197.684 351.914,198.622 352.067,199.533 \n",
       "  352.26,200.416 352.491,201.271 352.762,202.097 353.07,202.892 353.417,203.656 353.801,204.387 354.222,205.086 354.681,205.749 355.177,206.377 355.709,206.968 \n",
       "  356.277,207.521 356.882,208.035 357.523,208.508 358.2,208.94 358.912,209.327 359.66,209.671 360.443,209.968 361.261,210.217 362.113,210.418 363,210.567 \n",
       "  363.921,210.665 364.875,210.708 365.862,210.696 366.882,210.627 367.933,210.498 369.016,210.309 370.129,210.058 371.271,209.743 372.441,209.363 373.638,208.915 \n",
       "  374.861,208.399 376.107,207.813 377.376,207.156 378.665,206.426 379.972,205.622 381.295,204.744 382.631,203.791 383.978,202.761 385.331,201.656 386.689,200.475 \n",
       "  388.047,199.218 389.401,197.886 390.747,196.48 392.082,195.002 393.399,193.453 394.695,191.837 395.964,190.155 397.201,188.412 398.399,186.612 399.554,184.759 \n",
       "  400.66,182.859 401.71,180.918 402.698,178.942 403.619,176.938 404.466,174.915 405.234,172.88 405.916,170.842 406.508,168.812 407.004,166.798 407.399,164.81 \n",
       "  407.689,162.859 407.87,160.956 407.939,159.11 407.894,157.332 407.732,155.632 407.452,154.019 407.054,152.504 406.539,151.094 405.907,149.797 405.162,148.621 \n",
       "  404.305,147.572 403.34,146.654 402.273,145.872 401.108,145.229 399.851,144.727 398.508,144.365 397.086,144.145 395.594,144.063 394.037,144.118 392.425,144.306 \n",
       "  390.765,144.622 389.066,145.062 387.335,145.619 385.581,146.288 383.811,147.061 382.033,147.931 380.255,148.89 378.482,149.933 376.722,151.05 374.981,152.234 \n",
       "  373.265,153.479 371.578,154.778 369.925,156.123 368.312,157.508 366.74,158.928 365.214,160.376 363.737,161.848 362.311,163.338 360.939,164.842 359.621,166.357 \n",
       "  358.359,167.877 357.155,169.401 356.008,170.925 354.92,172.446 353.891,173.961 352.92,175.47 352.008,176.97 351.153,178.458 350.357,179.934 349.617,181.397 \n",
       "  348.933,182.845 348.305,184.277 347.732,185.692 347.211,187.089 346.744,188.468 346.328,189.828 345.963,191.168 345.648,192.487 345.381,193.785 345.162,195.062 \n",
       "  344.989,196.316 344.863,197.547 344.782,198.755 344.744,199.939 344.751,201.098 344.8,202.232 344.891,203.34 345.023,204.422 345.197,205.476 345.411,206.502 \n",
       "  345.665,207.499 345.958,208.467 346.291,209.404 346.662,210.31 347.073,211.184 347.522,212.024 348.009,212.83 348.535,213.6 349.099,214.334 349.701,215.031 \n",
       "  350.342,215.688 351.022,216.305 351.74,216.88 352.496,217.412 353.292,217.899 354.126,218.34 355,218.733 355.913,219.076 356.865,219.367 357.857,219.605 \n",
       "  358.889,219.788 359.96,219.913 361.071,219.978 362.222,219.981 363.412,219.921 364.642,219.794 365.91,219.598 367.218,219.332 368.563,218.991 369.945,218.575 \n",
       "  371.364,218.08 372.818,217.504 374.307,216.844 375.828,216.099 377.379,215.265 378.96,214.341 380.566,213.325 382.197,212.214 383.848,211.007 385.517,209.702 \n",
       "  387.2,208.299 388.892,206.796 390.589,205.193 392.287,203.491 393.979,201.689 395.661,199.789 397.325,197.794 398.965,195.705 400.574,193.527 402.144,191.262 \n",
       "  403.668,188.917 405.137,186.498 406.542,184.012 407.876,181.467 409.129,178.872 410.292,176.237 411.356,173.574 412.313,170.895 413.154,168.212 413.871,165.541 \n",
       "  414.455,162.895 414.9,160.29 415.2,157.74 415.348,155.263 415.341,152.874 415.174,150.588 414.846,148.42 414.354,146.385 413.7,144.496 412.885,142.766 \n",
       "  411.912,141.206 410.785,139.824 409.509,138.63 408.091,137.628 406.539,136.822 404.862,136.215 403.07,135.807 401.173,135.596 399.183,135.578 397.111,135.748 \n",
       "  394.97,136.099 392.77,136.623 390.525,137.311 388.247,138.152 385.946,139.135 383.634,140.249 381.322,141.482 379.02,142.823 376.736,144.258 374.48,145.778 \n",
       "  372.26,147.371 370.082,149.026 367.953,150.734 365.879,152.485 363.864,154.27 361.912,156.082 360.027,157.914 358.211,159.758 356.467,161.611 354.796,163.466 \n",
       "  353.199,165.319 351.677,167.166 350.23,169.004 348.858,170.831 347.559,172.644 346.335,174.441 345.183,176.221 344.102,177.982 343.09,179.723 342.148,181.444 \n",
       "  341.272,183.144 340.461,184.822 339.713,186.478 339.026,188.112 338.4,189.724 337.831,191.313 337.318,192.879 336.86,194.423 336.455,195.944 336.1,197.442 \n",
       "  335.795,198.917 335.538,200.37 335.327,201.799 335.161,203.205 335.04,204.588 334.96,205.947 334.923,207.282 334.926,208.594 334.968,209.882 335.049,211.144 \n",
       "  335.169,212.383 335.325,213.596 335.519,214.783 335.748,215.944 336.014,217.078 336.315,218.186 336.651,219.265 337.023,220.317 337.429,221.339 337.871,222.331 \n",
       "  338.348,223.293 338.861,224.223 339.409,225.12 339.993,225.985 340.614,226.815 341.271,227.609 341.965,228.366 342.697,229.086 343.468,229.766 344.277,230.405 \n",
       "  345.126,231.002 346.016,231.555 346.947,232.062 347.919,232.521 348.935,232.931 349.994,233.29 351.097,233.594 352.246,233.842 353.441,234.031 354.683,234.159 \n",
       "  355.972,234.224 357.309,234.221 358.696,234.148 360.132,234.002 361.618,233.78 363.155,233.477 364.742,233.092 366.38,232.619 368.068,232.055 369.807,231.395 \n",
       "  371.595,230.637 373.432,229.776 375.317,228.807 377.248,227.728 379.223,226.532 381.24,225.217 383.296,223.779 385.389,222.213 387.513,220.517 389.664,218.687 \n",
       "  391.838,216.721 394.029,214.617 396.231,212.372 398.435,209.987 400.634,207.461 402.82,204.795 404.982,201.993 407.111,199.056 409.195,195.99 411.222,192.802 \n",
       "  413.18,189.499 415.056,186.092 416.835,182.592 418.504,179.012 420.048,175.369 421.452,171.679 422.703,167.963 423.786,164.24 424.688,160.535 425.395,156.871 \n",
       "  425.897,153.273 426.182,149.768 426.242,146.382 426.07,143.141 425.661,140.071 425.011,137.197 424.121,134.543 422.991,132.129 421.627,129.975 420.035,128.096 \n",
       "  418.225,126.505 416.207,125.21 413.995,124.218 411.605,123.529 409.053,123.141 406.358,123.049 403.537,123.243 400.612,123.712 397.602,124.439 394.525,125.408 \n",
       "  391.403,126.6 388.253,127.995 385.093,129.572 381.94,131.31 378.809,133.188 375.714,135.186 372.669,137.284 369.684,139.463 366.769,141.706 363.933,143.997 \n",
       "  361.183,146.323 358.524,148.671 355.961,151.029 353.497,153.387 351.135,155.738 348.876,158.075 346.721,160.392 344.67,162.684 342.722,164.949 340.875,167.183 \n",
       "  339.127,169.384 337.478,171.551 335.923,173.683 334.461,175.781 333.088,177.844 331.801,179.872 330.598,181.867 329.473,183.828 328.425,185.757 327.45,187.654 \n",
       "  326.545,189.522 325.706,191.359 324.93,193.168 324.214,194.95 323.555,196.705 322.951,198.434 322.397,200.139 321.892,201.819 321.432,203.476 321.016,205.109 \n",
       "  320.641,206.721 320.305,208.31 320.006,209.879 319.742,211.426 319.51,212.953 319.31,214.46 319.139,215.947 318.996,217.414 318.88,218.861 318.79,220.29 \n",
       "  318.723,221.699 318.68,223.089 318.659,224.461 318.66,225.813 318.681,227.147 318.722,228.463 318.783,229.759 318.862,231.037 318.96,232.296 319.075,233.537 \n",
       "  319.209,234.759 319.36,235.962 319.528,237.146 319.713,238.312 319.916,239.458 320.136,240.586 320.373,241.694 320.628,242.784 320.9,243.853 321.19,244.903 \n",
       "  321.499,245.933 321.827,246.944 322.174,247.934 322.54,248.903 322.927,249.852 323.334,250.779 323.763,251.685 324.215,252.569 324.689,253.431 325.187,254.269 \n",
       "  325.71,255.085 326.259,255.876 326.834,256.643 327.437,257.385 328.07,258.1 328.732,258.789 329.425,259.45 330.152,260.082 330.912,260.685 331.708,261.256 \n",
       "  332.541,261.795 333.412,262.301 334.324,262.771 335.278,263.205 336.275,263.599 337.318,263.954 338.408,264.265 339.548,264.532 340.74,264.752 341.984,264.921 \n",
       "  343.285,265.038 344.643,265.098 346.061,265.099 347.542,265.038 349.087,264.909 350.698,264.709 352.379,264.434 354.131,264.078 355.956,263.636 357.856,263.104 \n",
       "  359.833,262.474 361.89,261.741 364.027,260.899 366.246,259.939 368.549,258.854 370.936,257.637 373.407,256.28 375.962,254.773 378.602,253.109 381.324,251.277 \n",
       "  384.126,249.27 387.007,247.076 389.962,244.688 392.986,242.095 396.074,239.289 399.219,236.262 402.411,233.005 405.642,229.512 408.898,225.777 412.167,221.796 \n",
       "  415.433,217.567 418.678,213.091 421.883,208.369 425.027,203.409 428.086,198.22 431.034,192.815 433.845,187.213 436.489,181.436 438.937,175.513 441.157,169.477 \n",
       "  443.12,163.367 444.793,157.225 446.146,151.101 447.151,145.048 447.781,139.122 448.014,133.382 447.83,127.888 447.215,122.702 446.159,117.881 444.659,113.481 \n",
       "  442.718,109.552 440.345,106.137 437.556,103.272 434.374,100.983 430.825,99.2849 426.942,98.1824 422.763,97.6695 418.327,97.7296 413.677,98.3361 408.855,99.4542 \n",
       "  403.906,101.042 398.872,103.052 393.792,105.433 388.706,108.131 383.648,111.095 378.65,114.271 373.738,117.609 368.937,121.064 364.267,124.593 359.743,128.158 \n",
       "  355.379,131.728 351.183,135.275 347.163,138.775 343.323,142.211 339.663,145.568 336.184,148.837 332.884,152.009 329.76,155.081 326.807,158.05 324.02,160.918 \n",
       "  321.394,163.684 318.92,166.352 316.594,168.926 314.407,171.41 312.353,173.807 310.424,176.124 308.613,178.365 306.912,180.535 305.314,182.639 303.813,184.681 \n",
       "  302.402,186.665 301.074,188.596 299.823,190.477 298.642,192.312 297.526,194.104 296.469,195.855 295.466,197.567 294.511,199.245 293.6,200.888 292.727,202.499 \n",
       "  291.889,204.08 291.082,205.631 290.3,207.154 289.541,208.649 288.8,210.118 288.075,211.56 287.362,212.977 286.657,214.369 285.959,215.735 285.263,217.077 \n",
       "  284.568,218.393 283.87,219.684 283.168,220.95 282.459,222.19 281.741,223.404 281.011,224.591 280.269,225.752 279.51,226.885 278.735,227.99 277.94,229.065 \n",
       "  277.125,230.111 276.287,231.127 275.425,232.11 274.538,233.061 273.623,233.978 272.679,234.859 271.706,235.704 270.7,236.511 269.662,237.277 268.59,238.003 \n",
       "  267.482,238.685 266.337,239.322 265.155,239.911 263.935,240.45 262.674,240.937 261.374,241.37 260.032,241.745 258.648,242.059 257.222,242.31 255.753,242.494 \n",
       "  254.241,242.607 252.686,242.647 251.088,242.609 249.448,242.488 247.766,242.282 246.042,241.986 244.28,241.594 242.478,241.104 240.64,240.509 238.768,239.805 \n",
       "  236.865,238.988 234.933,238.052 232.976,236.993 230.998,235.806 229.005,234.487 227,233.032 224.99,231.436 222.982,229.696 220.982,227.809 218.999,225.774 \n",
       "  217.04,223.588 215.115,221.251 213.233,218.764 211.405,216.128 209.64,213.346 207.952,210.423 206.35,207.364 204.848,204.177 203.456,200.871 202.188,197.458 \n",
       "  201.054,193.951 200.068,190.365 199.24,186.716 198.58,183.023 198.099,179.306 197.805,175.587 197.706,171.89 197.807,168.237 198.113,164.653 198.627,161.164 \n",
       "  199.35,157.794 200.28,154.566 201.414,151.505 202.749,148.631 204.275,145.965 205.986,143.524 207.87,141.324 209.915,139.377 212.108,137.692 214.435,136.276 \n",
       "  216.88,135.133 219.426,134.262 222.058,133.661 224.76,133.324 227.514,133.244 230.305,133.41 233.118,133.811 235.937,134.433 238.748,135.261 241.54,136.279 \n",
       "  244.299,137.472 247.016,138.824 249.68,140.317 252.284,141.936 254.82,143.666 257.281,145.493 259.664,147.401 261.962,149.379 264.174,151.414 266.298,153.495 \n",
       "  268.33,155.612 270.271,157.756 272.12,159.92 273.878,162.095 275.545,164.276 277.123,166.457 278.612,168.633 280.016,170.801 281.336,172.956 282.573,175.096 \n",
       "  283.732,177.218 284.814,179.32 285.822,181.401 286.758,183.459 287.626,185.493 288.428,187.502 289.166,189.486 289.844,191.444 290.463,193.376 291.027,195.282 \n",
       "  291.537,197.161 291.997,199.014 292.408,200.841 292.772,202.641 293.092,204.416 293.369,206.165 293.605,207.889 293.802,209.588 293.961,211.261 294.084,212.911 \n",
       "  294.173,214.536 294.228,216.137 294.25,217.714 294.242,219.268 294.202,220.799 294.133,222.307 294.036,223.793 293.91,225.256 293.756,226.697 293.575,228.116 \n",
       "  293.367,229.514 293.132,230.89 292.871,232.245 292.583,233.578 292.269,234.89 291.928,236.181 291.561,237.451 291.167,238.7 290.746,239.928 290.297,241.135 \n",
       "  289.82,242.32 289.314,243.484 288.779,244.626 288.215,245.746 287.62,246.843 286.993,247.918 286.335,248.97 285.643,249.999 284.917,251.003 284.156,251.982 \n",
       "  283.359,252.936 282.524,253.863 281.651,254.763 280.738,255.634 279.783,256.475 278.786,257.286 277.745,258.064 276.658,258.808 275.524,259.516 274.342,260.186 \n",
       "  273.11,260.816 271.825,261.405 270.488,261.948 269.096,262.443 267.647,262.888 266.14,263.279 264.574,263.613 262.947,263.885 261.258,264.091 259.505,264.227 \n",
       "  257.688,264.287 255.805,264.267 253.856,264.161 251.84,263.963 249.757,263.666 247.606,263.263 245.39,262.748 243.107,262.112 240.76,261.347 238.35,260.445 \n",
       "  235.881,259.398 233.354,258.196 230.774,256.829 228.146,255.289 225.476,253.566 222.769,251.651 220.034,249.534 217.28,247.206 214.516,244.66 211.755,241.888 \n",
       "  209.008,238.884 206.29,235.642 203.617,232.158 201.004,228.433 198.471,224.465 196.036,220.259 193.719,215.82 191.543,211.159 189.528,206.289 187.698,201.227 \n",
       "  186.075,195.995 184.68,190.617 183.535,185.123 182.661,179.548 182.076,173.929 181.797,168.307 181.837,162.727 182.207,157.234 182.915,151.877 183.964,146.703 \n",
       "  185.354,141.76 187.08,137.094 189.132,132.748 191.498,128.76 194.16,125.164 197.098,121.987 200.288,119.253 203.702,116.974 207.312,115.158 211.089,113.805 \n",
       "  215.001,112.908 219.018,112.455 223.109,112.426 227.245,112.798 231.397,113.544 235.541,114.633 239.652,116.032 243.708,117.709 247.691,119.629 251.585,121.759 \n",
       "  255.375,124.068 259.05,126.525 262.601,129.102 266.021,131.772 269.305,134.513 272.449,137.303 275.452,140.124 278.312,142.96 281.032,145.797 283.613,148.623 \n",
       "  286.057,151.428 288.367,154.205 290.549,156.947 292.605,159.65 294.542,162.308 296.363,164.92 298.075,167.484 299.682,169.998 301.189,172.461 302.603,174.874 \n",
       "  303.928,177.236 305.17,179.549 306.333,181.812 307.423,184.026 308.445,186.194 309.403,188.315 310.303,190.391 311.147,192.423 311.941,194.412 312.689,196.36 \n",
       "  313.394,198.268 314.061,200.136 314.692,201.966 315.291,203.759 315.861,205.515 316.406,207.236 316.928,208.923 317.429,210.576 317.913,212.196 318.382,213.784 \n",
       "  318.838,215.34 319.284,216.866 319.722,218.361 320.153,219.826 320.579,221.261 321.003,222.668 321.426,224.046 321.85,225.395 322.277,226.716 322.707,228.01 \n",
       "  323.143,229.276 323.587,230.514 324.038,231.724 324.5,232.907 324.972,234.063 325.458,235.191 325.957,236.292 326.471,237.364 327.002,238.409 327.551,239.425 \n",
       "  328.119,240.412 328.708,241.371 329.318,242.3 329.952,243.199 330.61,244.067 331.294,244.904 332.005,245.709 332.745,246.48 333.515,247.218 334.316,247.921 \n",
       "  335.151,248.588 336.021,249.218 336.926,249.809 337.87,250.36 338.853,250.869 339.877,251.334 340.945,251.754 342.056,252.127 343.215,252.45 344.421,252.721 \n",
       "  345.677,252.937 346.985,253.095 348.347,253.193 349.764,253.228 351.238,253.195 352.771,253.092 354.365,252.913 356.021,252.656 357.741,252.315 359.526,251.886 \n",
       "  361.378,251.364 363.297,250.743 365.286,250.018 367.344,249.183 369.472,248.232 371.67,247.158 373.938,245.955 376.275,244.617 378.681,243.135 381.153,241.504 \n",
       "  383.689,239.715 386.287,237.762 388.941,235.639 391.649,233.337 394.403,230.852 397.198,228.176 400.025,225.306 402.875,222.237 405.739,218.965 408.604,215.49 \n",
       "  411.456,211.81 414.283,207.928 417.067,203.848 419.79,199.576 422.435,195.122 424.979,190.497 427.403,185.717 429.683,180.802 431.796,175.774 433.717,170.659 \n",
       "  435.424,165.488 436.891,160.295 438.097,155.117 439.018,149.995 439.635,144.97 439.93,140.089 439.888,135.396 439.497,130.937 438.75,126.757 437.641,122.897 \n",
       "  436.172,119.398 434.348,116.293 432.179,113.613 429.68,111.379 426.869,109.609 423.768,108.312 420.405,107.487 416.807,107.129 413.006,107.224 409.034,107.752 \n",
       "  404.925,108.687 400.712,109.998 396.427,111.65 392.101,113.607 387.764,115.829 383.443,118.279 379.164,120.916 374.947,123.706 370.814,126.612 366.78,129.602 \n",
       "  362.859,132.648 359.063,135.724 355.402,138.807 351.88,141.878 348.504,144.921 345.276,147.924 342.197,150.875 339.267,153.767 336.485,156.596 333.848,159.356 \n",
       "  331.353,162.047 328.997,164.666 326.773,167.216 324.679,169.697 322.707,172.11 320.854,174.459 319.112,176.746 317.477,178.974 315.943,181.146 314.504,183.265 \n",
       "  313.155,185.334 311.889,187.356 310.701,189.335 309.587,191.271 308.541,193.169 307.558,195.03 306.633,196.857 305.761,198.651 304.939,200.414 304.162,202.148 \n",
       "  303.426,203.855 302.728,205.535 302.062,207.189 301.427,208.82 300.819,210.427 300.234,212.011 299.669,213.574 299.122,215.115 298.591,216.635 298.071,218.135 \n",
       "  297.562,219.614 297.06,221.074 296.564,222.514 296.07,223.935 295.578,225.336 295.086,226.719 294.59,228.082 294.091,229.426 293.585,230.75 293.071,232.056 \n",
       "  292.547,233.342 292.013,234.608 291.466,235.855 290.904,237.083 290.327,238.29 289.733,239.476 289.12,240.643 288.487,241.788 287.833,242.911 287.155,244.013 \n",
       "  286.453,245.092 285.725,246.148 284.97,247.181 284.185,248.189 283.371,249.172 282.524,250.128 281.644,251.058 280.729,251.96 279.778,252.832 278.788,253.674 \n",
       "  277.759,254.484 276.688,255.26 275.575,256.001 274.417,256.705 273.213,257.37 271.961,257.993 270.66,258.572 269.308,259.105 267.903,259.589 266.444,260.02 \n",
       "  264.93,260.396 263.359,260.712 261.729,260.964 260.04,261.149 258.29,261.262 256.478,261.298 254.604,261.251 252.667,261.116 250.667,260.888 248.604,260.56 \n",
       "  246.478,260.124 244.289,259.575 242.04,258.904 239.731,258.105 237.365,257.168 234.944,256.085 232.472,254.849 229.954,253.45 227.394,251.88 224.798,250.13 \n",
       "  222.174,248.192 219.529,246.057 216.871,243.717 214.213,241.166 211.564,238.398 208.937,235.407 206.347,232.189 203.808,228.743 201.337,225.069 198.951,221.169 \n",
       "  196.669,217.047 194.509,212.711 192.493,208.173 190.641,203.446 188.973,198.549 187.51,193.503 186.272,188.334 185.279,183.07 184.549,177.746 184.099,172.397 \n",
       "  183.942,167.062 184.09,161.784 184.552,156.605 185.334,151.57 186.437,146.723 187.859,142.107 189.596,137.764 191.636,133.731 193.967,130.044 196.572,126.731 \n",
       "  199.432,123.817 202.522,121.32 205.818,119.251 209.293,117.617 212.919,116.416 216.668,115.64 220.511,115.278 224.42,115.31 228.368,115.716 232.33,116.469 \n",
       "  236.281,117.543 240.199,118.906 244.066,120.529 247.863,122.38 251.575,124.43 255.19,126.649 258.696,129.009 262.085,131.485 265.351,134.053 268.488,136.691 \n",
       "  271.493,139.379 274.365,142.1 277.102,144.839 279.706,147.584 282.178,150.323 284.52,153.046 286.735,155.747 288.827,158.419 290.799,161.056 292.657,163.655 \n",
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       "  306.873,189.322 307.725,191.39 308.522,193.417 309.269,195.403 309.969,197.351 310.627,199.261 311.245,201.134 311.827,202.971 312.377,204.772 312.896,206.54 \n",
       "  313.388,208.274 313.856,209.976 314.302,211.646 314.728,213.286 315.138,214.894 315.532,216.474 315.913,218.024 316.283,219.546 316.645,221.04 316.998,222.507 \n",
       "  317.346,223.947 317.69,225.36 318.031,226.748 318.371,228.11 318.712,229.446 319.053,230.757 319.398,232.044 319.747,233.305 320.101,234.543 320.462,235.756 \n",
       "  320.83,236.945 321.207,238.11 321.594,239.251 321.992,240.368 322.402,241.461 322.825,242.53 323.263,243.575 323.716,244.595 324.185,245.591 324.672,246.562 \n",
       "  325.178,247.508 325.704,248.429 326.25,249.324 326.82,250.193 327.412,251.035 328.029,251.85 328.673,252.636 329.344,253.394 330.043,254.123 330.773,254.821 \n",
       "  331.534,255.488 332.329,256.122 333.158,256.723 334.024,257.289 334.927,257.818 335.87,258.31 336.855,258.763 337.882,259.174 338.955,259.542 340.074,259.864 \n",
       "  341.243,260.139 342.462,260.363 343.734,260.535 345.061,260.651 346.445,260.708 347.888,260.702 349.392,260.63 350.959,260.489 352.591,260.273 354.291,259.979 \n",
       "  356.06,259.601 357.9,259.134 359.812,258.573 361.8,257.912 363.863,257.145 366.003,256.265 368.221,255.266 370.519,254.14 372.895,252.879 375.35,251.477 \n",
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       "  406.851,224.322 409.971,220.593 413.089,216.633 416.189,212.442 419.253,208.023 422.262,203.38 425.194,198.522 428.027,193.462 430.736,188.215 433.294,182.802 \n",
       "  435.675,177.248 437.85,171.581 439.792,165.836 441.471,160.051 442.861,154.269 443.933,148.538 444.665,142.908 445.033,137.432 445.02,132.163 444.61,127.158 \n",
       "  \n",
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       "  \" fill=\"#ffffff\" fill-opacity=\"1\"/>\n",
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       "  \"/>\n",
       "<g clip-path=\"url(#clip7300)\">\n",
       "<text style=\"fill:#000000; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:12; text-anchor:start;\" transform=\"rotate(0, 451.494, 52.311)\" x=\"451.494\" y=\"52.311\">y1</text>\n",
       "</g>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using Plots\n",
    "\n",
    "# 関数をそれぞれ次にように定義する．\n",
    "function f1(y1, y2)\n",
    "    return -10 * y1+ 10 * y2\n",
    "end\n",
    "\n",
    "function f2(y1, y2, y3)\n",
    "    return -y1*y3+28*y1-y2\n",
    "end\n",
    "\n",
    "function f3(y1, y2, y3)\n",
    "    return y1*y2- (8/3)*y3\n",
    "end\n",
    "\n",
    "n = 10000\n",
    "\n",
    "#刻み幅\n",
    "h = 0.005\n",
    "\n",
    "y1 = Float64[]\n",
    "y2 = Float64[]\n",
    "y3 = Float64[]\n",
    "\n",
    "#初期値\n",
    "push!(y1, 3)\n",
    "push!(y2, 10)\n",
    "push!(y3, 45)\n",
    "\n",
    "for i in 1:n\n",
    "    if i < n\n",
    "        k1 = h*f1(y1[i],y2[i])\n",
    "        l1 = h*f2(y1[i],y2[i],y3[i])\n",
    "        m1 = h*f3(y1[i],y2[i],y3[i])\n",
    "        \n",
    "        k2 = h*f1(y1[i]+h,y2[i]+k1)\n",
    "        l2 = h*f2(y1[i]+h,y2[i]+k1,y3[i])\n",
    "        m2 = h*f3(y1[i]+h,y2[i]+k1,y3[i])\n",
    "        \n",
    "        push!(y1, y1[i] + 0.5*(k1+k2))\n",
    "        push!(y2, y2[i] + 0.5*(l1+l2))\n",
    "        push!(y3, y3[i] + 0.5*(m1+m2))\n",
    "    end\n",
    "end\n",
    "plot(y1,y2,y3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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