Cadenas de Markov de Tiempo Continuo II.ipynb

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    "# Curso Análisis de Redes\n",
    "\n",
    "## Cátedra Teoría de las Telecomunicaciones - Universidad ORT Uruguay\n",
    "\n",
    "\n",
    "\n",
    "# Cadenas de Markov de Tiempo Continuo (2a. Parte)"
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   "source": [
    "#using Pkg;Pkg.instantiate();Pkg.update()"
   ]
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    "## Versión constructiva de una cadena de Markov de tiempo continuo.\n",
    "\n",
    "Sea $X(t)$ una CMTC con generador infinitesimal $Q$. Entonces necesariamente:\n",
    "\n",
    "* La cadena se queda un tiempo exponencial de parámetro $q_i = -q_{ii}$ en el estado $i$.\n",
    "* Al cabo de ese tiempo, salta de $i\\to j$ con probabilidad:\n",
    "\n",
    "$$\\frac{q_{ij}}{q_i} \\quad j\\neq i.$$\n",
    "\n",
    "![trayectoria](images/trayectoria.png)"
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    "## Ejemplo: cadena ON-OFF\n",
    "\n",
    "Es una cadena con dos estados, $OFF$ y $ON$ (indicados por $0$ y $1$) y tasas:\n",
    "\n",
    "![Cadena ON OFF](images/cadena_on_off.png)\n",
    "\n",
    "Equivalentemente:\n",
    "\n",
    "$$Q=\\begin{pmatrix}\n",
    "-\\lambda & \\lambda \\\\\n",
    "\\mu & -\\mu\n",
    "\\end{pmatrix}.$$\n",
    "\n",
    "¿Qué ocurre cuando $t\\to\\infty$?"
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    "### La probabilidad en tiempo $t$.\n",
    "\n",
    "Sea $\\pi(0) = (\\pi_0(0), \\pi_1(0))$ la probabilidad inicial de estar en cada estado. Vimos que la probabilidad en tiempo $t$ satisface:\n",
    "\n",
    "$$\\dot{\\pi} = \\pi Q,$$\n",
    "\n",
    "que es una ecuación diferencial lineal. Escribamos cada componente:\n",
    "\n",
    "$$\\begin{align}\n",
    "\\dot{\\pi}_0 &= -\\lambda \\pi_0 + \\mu \\pi_1, \\\\\n",
    "\\dot{\\pi}_1 &= \\lambda \\pi_0 - \\mu \\pi_1.\n",
    "\\end{align}$$\n",
    "\n",
    "**Observación:** si sumamos las ecuaciones nos queda $\\dot\\pi_0 + \\dot\\pi_1 = 0$ por lo que $\\pi_0+\\pi_1$ es constante. Esto tiene sentido: si comenzamos con un vector de probabilidad esto debe mantenerse. Esto es consecuencia de que $Q\\mathbf{1} = 0$."
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    "### La probabilidad en tiempo $t$: solución\n",
    "\n",
    "Dado que ambas ecuaciones son complementarias, escribimos $\\pi_1 = 1-\\pi_0$ y sustituimos obteniendo una ec. diferencial lineal en una variable:\n",
    "\n",
    "$$\\dot{\\pi}_0 = -\\lambda\\pi_0 +\\mu - \\mu\\pi_0 = -(\\lambda + \\mu) \\pi_0 + \\mu.$$\n",
    "\n",
    "La ec. anterior es la de carga de un capacitor (con condición inciial $\\pi_0(0)$) cuya solución es:\n",
    "\n",
    "$$\\pi_0(t) = \\frac{\\mu}{\\lambda+\\mu} + \\left(\\pi_0(0) - \\frac{\\mu}{\\lambda+\\mu} \\right)e^{-(\\lambda+\\mu)t}.$$\n",
    "\n",
    "De donde $\\pi_1(t) = 1-\\pi_0(t)$. En particular:\n",
    "\n",
    "$$\\pi(t) = (\\pi_0(t), \\pi_1(t)) \\to_{t\\to\\infty} \\left(\\frac{\\mu}{\\lambda + \\mu}, \\quad \\frac{\\lambda}{\\lambda+\\mu}\\right).$$"
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   "source": [
    "### Ejemplo: $\\lambda=1$, $\\mu=2$, $\\pi(0) = (1,0)$ "
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       "  282.123,88.3023 288.474,101.785 294.825,114.869 301.175,127.567 307.526,139.889 313.877,151.848 320.228,163.452 326.578,174.714 332.929,185.643 339.28,196.249 \n",
       "  345.631,206.542 351.981,216.53 358.332,226.223 364.683,235.63 371.034,244.758 377.384,253.617 383.735,262.214 390.086,270.557 396.437,278.654 402.787,286.511 \n",
       "  409.138,294.136 415.489,301.535 421.84,308.716 428.19,315.685 434.541,322.447 440.892,329.01 447.242,335.379 453.593,341.559 459.944,347.557 466.295,353.378 \n",
       "  472.645,359.027 478.996,364.508 485.347,369.828 491.698,374.991 498.048,380 504.399,384.862 510.75,389.58 517.101,394.159 523.451,398.603 529.802,402.915 \n",
       "  536.153,407.099 542.504,411.16 548.854,415.101 555.205,418.926 561.556,422.637 567.907,426.239 574.257,429.734 580.608,433.126 586.959,436.418 593.31,439.612 \n",
       "  599.66,442.712 606.011,445.721 612.362,448.64 618.713,451.473 625.063,454.223 631.414,456.891 637.765,459.48 644.116,461.993 650.466,464.432 656.817,466.798 \n",
       "  663.168,469.095 669.519,471.324 675.869,473.487 682.22,475.585 688.571,477.622 694.921,479.599 701.272,481.517 707.623,483.379 713.974,485.185 720.324,486.938 \n",
       "  726.675,488.64 733.026,490.291 739.377,491.893 745.727,493.448 752.078,494.957 758.429,496.421 764.78,497.842 771.13,499.222 777.481,500.56 783.832,501.859 \n",
       "  790.183,503.119 796.533,504.342 802.884,505.529 809.235,506.681 815.586,507.799 821.936,508.884 828.287,509.936 834.638,510.958 840.989,511.95 847.339,512.912 \n",
       "  853.69,513.845 860.041,514.752 866.392,515.631 872.742,516.484 879.093,517.312 885.444,518.116 891.795,518.896 898.145,519.653 904.496,520.387 910.847,521.1 \n",
       "  917.197,521.792 923.548,522.463 929.899,523.114 936.25,523.747 942.6,524.36 948.951,524.956 955.302,525.533 961.653,526.094 968.003,526.638 974.354,527.166 \n",
       "  980.705,527.679 987.056,528.176 993.406,528.658 999.757,529.127 1006.11,529.581 1012.46,530.022 1018.81,530.45 1025.16,530.866 1031.51,531.269 1037.86,531.66 \n",
       "  1044.21,532.04 1050.56,532.408 1056.91,532.766 1063.26,533.112 1069.62,533.449 1075.97,533.776 1082.32,534.093 1088.67,534.401 1095.02,534.699 1101.37,534.989 \n",
       "  1107.72,535.27 1114.07,535.543 1120.42,535.808 1126.77,536.065 1133.12,536.315 1139.47,536.557 1145.82,536.792 1152.17,537.019 1158.53,537.241 1164.88,537.455 \n",
       "  1171.23,537.664 1177.58,537.866 1183.93,538.062 1190.28,538.253 1196.63,538.437 1202.98,538.617 1209.33,538.791 1215.68,538.96 1222.03,539.123 1228.38,539.282 \n",
       "  1234.73,539.437 1241.09,539.587 1247.44,539.732 1253.79,539.873 1260.14,540.01 1266.49,540.143 1272.84,540.272 1279.19,540.397 1285.54,540.518 1291.89,540.636 \n",
       "  1298.24,540.75 1304.59,540.861 1310.94,540.969 1317.29,541.073 1323.65,541.175 1330,541.273 1336.35,541.369 1342.7,541.461 1349.05,541.551 1355.4,541.639 \n",
       "  1361.75,541.723 1368.1,541.806 1374.45,541.885 1380.8,541.963 1387.15,542.038 1393.5,542.111 1399.85,542.182 1406.2,542.25 1412.56,542.317 1418.91,542.382 \n",
       "  1425.26,542.444 1431.61,542.505 1437.96,542.564 1444.31,542.622 1450.66,542.677 1457.01,542.731 1463.36,542.784 1469.71,542.835 1476.06,542.884 1482.41,542.932 \n",
       "  1488.76,542.978 1495.12,543.023 1501.47,543.067 1507.82,543.11 1514.17,543.151 1520.52,543.191 1526.87,543.23 1533.22,543.267 1539.57,543.304 1545.92,543.34 \n",
       "  1552.27,543.374 1558.62,543.407 1564.97,543.44 1571.32,543.471 1577.67,543.502 1584.03,543.531 1590.38,543.56 1596.73,543.588 1603.08,543.615 1609.43,543.642 \n",
       "  1615.78,543.667 1622.13,543.692 1628.48,543.716 1634.83,543.739 1641.18,543.762 1647.53,543.784 1653.88,543.805 1660.23,543.826 1666.59,543.846 1672.94,543.865 \n",
       "  1679.29,543.884 1685.64,543.902 1691.99,543.92 1698.34,543.938 1704.69,543.954 1711.04,543.971 1717.39,543.986 1723.74,544.002 1730.09,544.017 1736.44,544.031 \n",
       "  1742.79,544.045 1749.14,544.059 1755.5,544.072 1761.85,544.085 1768.2,544.097 1774.55,544.109 1780.9,544.121 1787.25,544.132 1793.6,544.143 1799.95,544.154 \n",
       "  1806.3,544.164 1812.65,544.174 1819,544.184 1825.35,544.193 1831.7,544.203 1838.06,544.212 1844.41,544.22 1850.76,544.229 1857.11,544.237 1863.46,544.245 \n",
       "  1869.81,544.252 1876.16,544.26 1882.51,544.267 1888.86,544.274 1895.21,544.281 1901.56,544.288 1907.91,544.294 1914.26,544.3 1920.61,544.306 1926.97,544.312 \n",
       "  1933.32,544.318 1939.67,544.323 1946.02,544.329 1952.37,544.334 1958.72,544.339 1965.07,544.344 1971.42,544.349 1977.77,544.353 1984.12,544.358 1990.47,544.362 \n",
       "  1996.82,544.366 2003.17,544.37 2009.53,544.374 2015.88,544.378 2022.23,544.382 2028.58,544.386 2034.93,544.389 2041.28,544.393 2047.63,544.396 2053.98,544.399 \n",
       "  2060.33,544.402 2066.68,544.405 2073.03,544.408 2079.38,544.411 2085.73,544.414 2092.08,544.416 2098.44,544.419 2104.79,544.422 2111.14,544.424 2117.49,544.426 \n",
       "  2123.84,544.429 2130.19,544.431 2136.54,544.433 2142.89,544.435 2149.24,544.437 2155.59,544.439 2161.94,544.441 2168.29,544.443 2174.64,544.445 2181,544.447 \n",
       "  2187.35,544.448 2193.7,544.45 2200.05,544.452 2206.4,544.453 2212.75,544.455 2219.1,544.456 2225.45,544.458 2231.8,544.459 2238.15,544.46 2244.5,544.462 \n",
       "  2250.85,544.463 2257.2,544.464 2263.56,544.465 2269.91,544.467 2276.26,544.468 2282.61,544.469 2288.96,544.47 2295.31,544.471 2301.66,544.472 2308.01,544.473 \n",
       "  2314.36,544.474 2320.71,544.475 2327.06,544.476 2333.41,544.477 2339.76,544.477 2346.11,544.478 2352.47,544.479 2358.82,544.48 2365.17,544.48 2371.52,544.481 \n",
       "  2377.87,544.482 2384.22,544.483 2390.57,544.483 2396.92,544.484 2403.27,544.484 2409.62,544.485 2415.97,544.486 2422.32,544.486 2428.67,544.487 2435.03,544.487 \n",
       "  2441.38,544.488 2447.73,544.488 2454.08,544.489 2460.43,544.489 2466.78,544.49 2473.13,544.49 2479.48,544.491 2485.83,544.491 2492.18,544.491 2498.53,544.492 \n",
       "  2504.88,544.492 2511.23,544.493 2517.58,544.493 2523.94,544.493 2530.29,544.494 2536.64,544.494 2542.99,544.494 2549.34,544.495 2555.69,544.495 2562.04,544.495 \n",
       "  2568.39,544.495 2574.74,544.496 2581.09,544.496 2587.44,544.496 2593.79,544.497 2600.14,544.497 2606.5,544.497 2612.85,544.497 2619.2,544.497 2625.55,544.498 \n",
       "  2631.9,544.498 2638.25,544.498 2644.6,544.498 2650.95,544.498 2657.3,544.499 2663.65,544.499 2670,544.499 2676.35,544.499 2682.7,544.499 2689.05,544.499 \n",
       "  2695.41,544.5 2701.76,544.5 2708.11,544.5 2714.46,544.5 2720.81,544.5 2727.16,544.5 2733.51,544.5 2739.86,544.501 2746.21,544.501 2752.56,544.501 \n",
       "  2758.91,544.501 2765.26,544.501 2771.61,544.501 2777.97,544.501 2784.32,544.501 2790.67,544.502 2797.02,544.502 2803.37,544.502 2809.72,544.502 2816.07,544.502 \n",
       "  2822.42,544.502 2828.77,544.502 2835.12,544.502 2841.47,544.502 2847.82,544.502 2854.17,544.502 2860.52,544.502 2866.88,544.502 2873.23,544.503 2879.58,544.503 \n",
       "  2885.93,544.503 2892.28,544.503 2898.63,544.503 2904.98,544.503 2911.33,544.503 2917.68,544.503 2924.03,544.503 2930.38,544.503 2936.73,544.503 2943.08,544.503 \n",
       "  2949.44,544.503 2955.79,544.503 2962.14,544.503 2968.49,544.503 2974.84,544.503 2981.19,544.503 2987.54,544.503 2993.89,544.504 3000.24,544.504 3006.59,544.504 \n",
       "  3012.94,544.504 3019.29,544.504 3025.64,544.504 3031.99,544.504 3038.35,544.504 3044.7,544.504 3051.05,544.504 3057.4,544.504 3063.75,544.504 3070.1,544.504 \n",
       "  3076.45,544.504 3082.8,544.504 3089.15,544.504 3095.5,544.504 3101.85,544.504 3108.2,544.504 3114.55,544.504 3120.91,544.504 3127.26,544.504 3133.61,544.504 \n",
       "  3139.96,544.504 3146.31,544.504 3152.66,544.504 3159.01,544.504 3165.36,544.504 3171.71,544.504 3178.06,544.504 3184.41,544.504 3190.76,544.504 3197.11,544.504 \n",
       "  3203.47,544.504 3209.82,544.504 3216.17,544.504 3222.52,544.504 3228.87,544.504 3235.22,544.504 3241.57,544.504 3247.92,544.504 3254.27,544.504 3260.62,544.504 \n",
       "  3266.97,544.504 3273.32,544.504 3279.67,544.504 3286.02,544.504 3292.38,544.504 3298.73,544.504 3305.08,544.504 3311.43,544.504 3317.78,544.504 3324.13,544.504 \n",
       "  3330.48,544.505 3336.83,544.505 3343.18,544.505 3349.53,544.505 3355.88,544.505 3362.23,544.505 3368.58,544.505 3374.94,544.505 3381.29,544.505 3387.64,544.505 \n",
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     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "using Plots, LaTeXStrings\n",
    "default(size=(900,400), legend=:bottomright, legendfontsize=10)\n",
    "\n",
    "#Defino la función pi0(t)\n",
    "pi0(t,lambda,mu,pi0_inicial) = mu/(lambda+mu) + (pi0_inicial-mu/(lambda+mu))*exp(-(lambda+mu)*t)\n",
    "\n",
    "t=(0:.01:5)\n",
    "\n",
    "#calculo pi0(t) para cada t\n",
    "pi0t = pi0.(t,1.0,2.0,1.0)\n",
    "pi1t = 1 .- pi0t\n",
    "plot(t,pi0t , label=L\"\\pi_0(t)\")\n",
    "plot!(t,pi1t , label=L\"\\pi_1(t)\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Ejemplo: $\\lambda=1$, $\\mu=2$, $\\pi(0) = (0.5,0.5)$ "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
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       "  256.346,772.606 262.747,765.46 269.148,758.525 275.549,751.796 281.95,745.265 288.35,738.927 294.751,732.776 301.152,726.808 307.553,721.015 313.953,715.394 \n",
       "  320.354,709.939 326.755,704.645 333.156,699.508 339.557,694.522 345.957,689.684 352.358,684.989 358.759,680.433 365.16,676.011 371.561,671.72 377.961,667.556 \n",
       "  384.362,663.514 390.763,659.593 397.164,655.787 403.565,652.093 409.965,648.509 416.366,645.031 422.767,641.655 429.168,638.38 435.569,635.201 441.969,632.116 \n",
       "  448.37,629.122 454.771,626.217 461.172,623.397 467.573,620.661 473.973,618.006 480.374,615.429 486.775,612.929 493.176,610.502 499.577,608.147 505.977,605.861 \n",
       "  512.378,603.644 518.779,601.491 525.18,599.403 531.581,597.376 537.981,595.409 544.382,593.5 550.783,591.647 557.184,589.849 563.584,588.105 569.985,586.412 \n",
       "  576.386,584.769 582.787,583.174 589.188,581.627 595.588,580.125 601.989,578.668 608.39,577.254 614.791,575.882 621.192,574.55 627.592,573.257 633.993,572.003 \n",
       "  640.394,570.786 646.795,569.605 653.196,568.458 659.596,567.346 665.997,566.266 672.398,565.219 678.799,564.202 685.2,563.215 691.6,562.258 698.001,561.329 \n",
       "  704.402,560.427 710.803,559.552 717.204,558.703 723.604,557.879 730.005,557.079 736.406,556.303 742.807,555.55 749.208,554.819 755.608,554.109 762.009,553.421 \n",
       "  768.41,552.753 774.811,552.105 781.212,551.476 787.612,550.865 794.013,550.273 800.414,549.698 806.815,549.14 813.216,548.598 819.616,548.073 826.017,547.563 \n",
       "  832.418,547.068 838.819,546.588 845.219,546.122 851.62,545.67 858.021,545.231 864.422,544.805 870.823,544.391 877.223,543.99 883.624,543.601 890.025,543.223 \n",
       "  896.426,542.857 902.827,542.501 909.227,542.156 915.628,541.82 922.029,541.495 928.43,541.18 934.831,540.874 941.231,540.576 947.632,540.288 954.033,540.008 \n",
       "  960.434,539.737 966.835,539.473 973.235,539.217 979.636,538.969 986.037,538.728 992.438,538.494 998.839,538.268 1005.24,538.047 1011.64,537.834 1018.04,537.626 \n",
       "  1024.44,537.425 1030.84,537.23 1037.24,537.04 1043.64,536.857 1050.04,536.678 1056.45,536.505 1062.85,536.337 1069.25,536.174 1075.65,536.016 1082.05,535.862 \n",
       "  1088.45,535.713 1094.85,535.568 1101.25,535.428 1107.65,535.292 1114.05,535.159 1120.45,535.031 1126.85,534.907 1133.26,534.786 1139.66,534.669 1146.06,534.555 \n",
       "  1152.46,534.444 1158.86,534.337 1165.26,534.233 1171.66,534.132 1178.06,534.034 1184.46,533.939 1190.86,533.847 1197.26,533.758 1203.66,533.671 1210.06,533.587 \n",
       "  1216.47,533.505 1222.87,533.425 1229.27,533.348 1235.67,533.274 1242.07,533.201 1248.47,533.131 1254.87,533.062 1261.27,532.996 1267.67,532.932 1274.07,532.869 \n",
       "  1280.47,532.809 1286.87,532.75 1293.28,532.693 1299.68,532.637 1306.08,532.584 1312.48,532.531 1318.88,532.481 1325.28,532.432 1331.68,532.384 1338.08,532.338 \n",
       "  1344.48,532.293 1350.88,532.249 1357.28,532.207 1363.68,532.166 1370.08,532.126 1376.49,532.087 1382.89,532.05 1389.29,532.014 1395.69,531.978 1402.09,531.944 \n",
       "  1408.49,531.911 1414.89,531.878 1421.29,531.847 1427.69,531.817 1434.09,531.787 1440.49,531.759 1446.89,531.731 1453.3,531.704 1459.7,531.678 1466.1,531.652 \n",
       "  1472.5,531.628 1478.9,531.604 1485.3,531.581 1491.7,531.558 1498.1,531.536 1504.5,531.515 1510.9,531.494 1517.3,531.474 1523.7,531.455 1530.1,531.436 \n",
       "  1536.51,531.418 1542.91,531.4 1549.31,531.383 1555.71,531.366 1562.11,531.35 1568.51,531.335 1574.91,531.319 1581.31,531.304 1587.71,531.29 1594.11,531.276 \n",
       "  1600.51,531.263 1606.91,531.25 1613.31,531.237 1619.72,531.224 1626.12,531.212 1632.52,531.201 1638.92,531.19 1645.32,531.179 1651.72,531.168 1658.12,531.158 \n",
       "  1664.52,531.148 1670.92,531.138 1677.32,531.128 1683.72,531.119 1690.12,531.11 1696.53,531.102 1702.93,531.093 1709.33,531.085 1715.73,531.077 1722.13,531.07 \n",
       "  1728.53,531.062 1734.93,531.055 1741.33,531.048 1747.73,531.041 1754.13,531.035 1760.53,531.028 1766.93,531.022 1773.33,531.016 1779.74,531.01 1786.14,531.005 \n",
       "  1792.54,530.999 1798.94,530.994 1805.34,530.989 1811.74,530.984 1818.14,530.979 1824.54,530.974 1830.94,530.969 1837.34,530.965 1843.74,530.961 1850.14,530.956 \n",
       "  1856.55,530.952 1862.95,530.948 1869.35,530.945 1875.75,530.941 1882.15,530.937 1888.55,530.934 1894.95,530.93 1901.35,530.927 1907.75,530.924 1914.15,530.921 \n",
       "  1920.55,530.918 1926.95,530.915 1933.35,530.912 1939.76,530.909 1946.16,530.907 1952.56,530.904 1958.96,530.901 1965.36,530.899 1971.76,530.897 1978.16,530.894 \n",
       "  1984.56,530.892 1990.96,530.89 1997.36,530.888 2003.76,530.886 2010.16,530.884 2016.57,530.882 2022.97,530.88 2029.37,530.878 2035.77,530.876 2042.17,530.875 \n",
       "  2048.57,530.873 2054.97,530.871 2061.37,530.87 2067.77,530.868 2074.17,530.867 2080.57,530.865 2086.97,530.864 2093.37,530.863 2099.78,530.861 2106.18,530.86 \n",
       "  2112.58,530.859 2118.98,530.858 2125.38,530.857 2131.78,530.855 2138.18,530.854 2144.58,530.853 2150.98,530.852 2157.38,530.851 2163.78,530.85 2170.18,530.849 \n",
       "  2176.58,530.849 2182.99,530.848 2189.39,530.847 2195.79,530.846 2202.19,530.845 2208.59,530.844 2214.99,530.844 2221.39,530.843 2227.79,530.842 2234.19,530.841 \n",
       "  2240.59,530.841 2246.99,530.84 2253.39,530.84 2259.8,530.839 2266.2,530.838 2272.6,530.838 2279,530.837 2285.4,530.837 2291.8,530.836 2298.2,530.836 \n",
       "  2304.6,530.835 2311,530.835 2317.4,530.834 2323.8,530.834 2330.2,530.833 2336.6,530.833 2343.01,530.832 2349.41,530.832 2355.81,530.832 2362.21,530.831 \n",
       "  2368.61,530.831 2375.01,530.83 2381.41,530.83 2387.81,530.83 2394.21,530.829 2400.61,530.829 2407.01,530.829 2413.41,530.829 2419.82,530.828 2426.22,530.828 \n",
       "  2432.62,530.828 2439.02,530.827 2445.42,530.827 2451.82,530.827 2458.22,530.827 2464.62,530.826 2471.02,530.826 2477.42,530.826 2483.82,530.826 2490.22,530.826 \n",
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      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#recalculo y ploteo para la nueva condicion inicial\n",
    "\n",
    "pi0t = pi0.(t,1.0,2.0,0.5)\n",
    "pi1t = 1 .- pi0t\n",
    "plot(t,pi0t , label=L\"\\pi_0(t)\" ,ylims=(0,1))\n",
    "plot!(t,pi1t , label=L\"\\pi_1(t)\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Observaciones:\n",
    "\n",
    "* La cadena converge a la misma distribución de equilibrio para cualquier condición inicial.\n",
    "\n",
    "* La distribución de equilibrio depende de $\\lambda/\\mu$, pero no de los valores absolutos de las frecuencias.\n",
    "\n",
    "* La constante de tiempo de la convergencia es $\\lambda+\\mu$, esta sí depende de las frecuencias (cadenas más lentas demoran más en llegar a régimen).\n",
    "\n",
    "\n",
    "### Interpretación de la condición de equilibrio:\n",
    "\n",
    "$$\\pi_0 = \\frac{\\mu}{\\lambda+\\mu} = \\frac{1/\\lambda}{1/\\lambda+1/\\mu}.$$\n",
    "\n",
    "Escrito así, es el tiempo medio que permanezco en $0$, dividido el tiempo medio \"de ciclo\", es decir, salir y volver."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Cálculo de la distribución de régimen\n",
    "\n",
    "Observemos que para calcular la distribución de régimen hay que plantear únicamente $\\dot{\\pi}=0$. Es decir:\n",
    "\n",
    "$$\\pi Q = 0.$$\n",
    "\n",
    "Esta ecuación es la *ecuación de balance global* en tiempo continuo. En este caso:\n",
    "\n",
    "$$\\left\\{\\begin{align}\n",
    "-\\lambda \\pi_0 + \\mu \\pi_1 &= 0, \\\\ \n",
    "\\lambda \\pi_0 - \\mu \\pi_1 &= 0.\n",
    "\\end{align}\\right.$$\n",
    "\n",
    "Nuevamente, estas ecuaciones no son linealmente independientes (porque $Q\\mathbf{1} = 0$) pero utilizando la condición adicional $\\pi_0+\\pi_1=1$ concluimos que:\n",
    "\n",
    "$$\\pi_1 = 1-\\pi_0 = \\frac{\\lambda}{\\mu} \\pi_0 \\Rightarrow \\pi_0 = \\frac{1}{1+\\lambda/\\mu} = \\frac{\\mu}{\\lambda+\\mu}.$$\n",
    "\n",
    "Notar la analogía con el caso discreto."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Simulación:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "simula_ON_OFF (generic function with 1 method)"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using Distributions\n",
    "\n",
    "function simula_ON_OFF(lambda, mu, pi, Tfinal)\n",
    "    #lambda: tasa de OFF->ON\n",
    "    #mu: tasa de ON->OFF\n",
    "    #pi: distribución para sortear el estado inicial\n",
    "    #Tfinal: tiempo de simulación\n",
    "    \n",
    "    pi0 = Categorical(pi)    \n",
    "    d1 = Exponential(1/lambda)\n",
    "    d2 = Exponential(1/mu)\n",
    "    \n",
    "    x=rand(pi0) - 1 ## El -1 es para que el estado inicial sea 0 o 1 y no 1 o 2.\n",
    "    t=0.0\n",
    "    X=[x];\n",
    "    T=[t];\n",
    "    \n",
    "    while t<Tfinal\n",
    "        if x==0\n",
    "            dt = rand(d1)\n",
    "            x=1;\n",
    "        else\n",
    "            dt = rand(d2)\n",
    "            x=0\n",
    "        end\n",
    "        t=t+dt\n",
    "        push!(T,t)\n",
    "        push!(X,x)\n",
    "    end\n",
    "    \n",
    "    return T,X\n",
    "    \n",
    "end\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Resultado"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
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       "  1254.45,88.3023 1257.22,88.3023 1257.22,1456.91 1260.06,1456.91 1260.06,88.3023 1267.75,88.3023 1267.75,1456.91 1281.69,1456.91 1281.69,88.3023 1283.72,88.3023 \n",
       "  1283.72,1456.91 1283.81,1456.91 1283.81,88.3023 1284.24,88.3023 1284.24,1456.91 1299.59,1456.91 1299.59,88.3023 1300.51,88.3023 1300.51,1456.91 1303.88,1456.91 \n",
       "  1303.88,88.3023 1306.11,88.3023 1306.11,1456.91 1309.59,1456.91 1309.59,88.3023 1315.86,88.3023 1315.86,1456.91 1342.04,1456.91 1342.04,88.3023 1347.82,88.3023 \n",
       "  1347.82,1456.91 1373.15,1456.91 1373.15,88.3023 1374.49,88.3023 1374.49,1456.91 1375.19,1456.91 1375.19,88.3023 1378.9,88.3023 1378.9,1456.91 1381,1456.91 \n",
       "  1381,88.3023 1383.11,88.3023 1383.11,1456.91 1383.43,1456.91 1383.43,88.3023 1389.41,88.3023 1389.41,1456.91 1395.03,1456.91 1395.03,88.3023 1398.24,88.3023 \n",
       "  1398.24,1456.91 1407.28,1456.91 1407.28,88.3023 1412.19,88.3023 1412.19,1456.91 1414.54,1456.91 1414.54,88.3023 1421.81,88.3023 1421.81,1456.91 1427.23,1456.91 \n",
       "  1427.23,88.3023 1428.59,88.3023 1428.59,1456.91 1431.07,1456.91 1431.07,88.3023 1431.96,88.3023 1431.96,1456.91 1452.95,1456.91 1452.95,88.3023 1457.77,88.3023 \n",
       "  1457.77,1456.91 1460.09,1456.91 1460.09,88.3023 1461.94,88.3023 1461.94,1456.91 1464.23,1456.91 1464.23,88.3023 1467.66,88.3023 1467.66,1456.91 1471.61,1456.91 \n",
       "  1471.61,88.3023 1472.95,88.3023 1472.95,1456.91 1475.26,1456.91 1475.26,88.3023 1475.71,88.3023 1475.71,1456.91 1480.82,1456.91 1480.82,88.3023 1483.05,88.3023 \n",
       "  1483.05,1456.91 1484.77,1456.91 1484.77,88.3023 1485.33,88.3023 1485.33,1456.91 1487.94,1456.91 1487.94,88.3023 1491.72,88.3023 1491.72,1456.91 1496.1,1456.91 \n",
       "  1496.1,88.3023 1499.12,88.3023 1499.12,1456.91 1513.97,1456.91 1513.97,88.3023 1516.91,88.3023 1516.91,1456.91 1518.35,1456.91 1518.35,88.3023 1519.08,88.3023 \n",
       "  1519.08,1456.91 1526,1456.91 1526,88.3023 1543.04,88.3023 1543.04,1456.91 1543.92,1456.91 1543.92,88.3023 1543.98,88.3023 1543.98,1456.91 1546.15,1456.91 \n",
       "  1546.15,88.3023 1546.59,88.3023 1546.59,1456.91 1556.95,1456.91 1556.95,88.3023 1557.39,88.3023 1557.39,1456.91 1557.45,1456.91 1557.45,88.3023 1559.44,88.3023 \n",
       "  1559.44,1456.91 1562.01,1456.91 1562.01,88.3023 1562.73,88.3023 1562.73,1456.91 1568.74,1456.91 1568.74,88.3023 1569.63,88.3023 1569.63,1456.91 1572.27,1456.91 \n",
       "  1572.27,88.3023 1574.27,88.3023 1574.27,1456.91 1580.37,1456.91 1580.37,88.3023 1581.08,88.3023 1581.08,1456.91 1595.35,1456.91 1595.35,88.3023 1605.54,88.3023 \n",
       "  1605.54,1456.91 1607.41,1456.91 1607.41,88.3023 1609.3,88.3023 1609.3,1456.91 1612.45,1456.91 1612.45,88.3023 1613.5,88.3023 1613.5,1456.91 1613.57,1456.91 \n",
       "  1613.57,88.3023 1621.57,88.3023 1621.57,1456.91 1622.03,1456.91 1622.03,88.3023 1628.13,88.3023 1628.13,1456.91 1639.7,1456.91 1639.7,88.3023 1640.02,88.3023 \n",
       "  1640.02,1456.91 1641.41,1456.91 1641.41,88.3023 1642.63,88.3023 1642.63,1456.91 1642.87,1456.91 1642.87,88.3023 1645.46,88.3023 1645.46,1456.91 1656.14,1456.91 \n",
       "  1656.14,88.3023 1657.19,88.3023 1657.19,1456.91 1665.07,1456.91 1665.07,88.3023 1668.03,88.3023 1668.03,1456.91 1678.84,1456.91 1678.84,88.3023 1681.84,88.3023 \n",
       "  1681.84,1456.91 1695.99,1456.91 1695.99,88.3023 1704.31,88.3023 1704.31,1456.91 1720.35,1456.91 1720.35,88.3023 1725.64,88.3023 1725.64,1456.91 1726.25,1456.91 \n",
       "  1726.25,88.3023 1727.5,88.3023 1727.5,1456.91 1745.15,1456.91 1745.15,88.3023 1748.22,88.3023 1748.22,1456.91 1760.27,1456.91 1760.27,88.3023 1761.74,88.3023 \n",
       "  1761.74,1456.91 1773.72,1456.91 1773.72,88.3023 1781.28,88.3023 1781.28,1456.91 1785.33,1456.91 1785.33,88.3023 1785.53,88.3023 1785.53,1456.91 1790.27,1456.91 \n",
       "  1790.27,88.3023 1796.12,88.3023 1796.12,1456.91 1799.1,1456.91 1799.1,88.3023 1799.71,88.3023 1799.71,1456.91 1808.88,1456.91 1808.88,88.3023 1811,88.3023 \n",
       "  1811,1456.91 1822.78,1456.91 1822.78,88.3023 1823.57,88.3023 1823.57,1456.91 1829.92,1456.91 1829.92,88.3023 1832.38,88.3023 1832.38,1456.91 1838.86,1456.91 \n",
       "  1838.86,88.3023 1845.14,88.3023 1845.14,1456.91 1847.33,1456.91 1847.33,88.3023 1857.14,88.3023 1857.14,1456.91 1857.21,1456.91 1857.21,88.3023 1860.76,88.3023 \n",
       "  1860.76,1456.91 1871.04,1456.91 1871.04,88.3023 1871.14,88.3023 1871.14,1456.91 1872.26,1456.91 1872.26,88.3023 1873.43,88.3023 1873.43,1456.91 1884.81,1456.91 \n",
       "  1884.81,88.3023 1890.09,88.3023 1890.09,1456.91 1890.72,1456.91 1890.72,88.3023 1891.78,88.3023 1891.78,1456.91 1892.61,1456.91 1892.61,88.3023 1896.21,88.3023 \n",
       "  1896.21,1456.91 1902.24,1456.91 1902.24,88.3023 1903.03,88.3023 1903.03,1456.91 1906.44,1456.91 1906.44,88.3023 1909,88.3023 1909,1456.91 1910.68,1456.91 \n",
       "  1910.68,88.3023 1912.47,88.3023 1912.47,1456.91 1914.72,1456.91 1914.72,88.3023 1919.47,88.3023 1919.47,1456.91 1935.93,1456.91 1935.93,88.3023 1939.17,88.3023 \n",
       "  1939.17,1456.91 1941.27,1456.91 1941.27,88.3023 1946.17,88.3023 1946.17,1456.91 1946.33,1456.91 1946.33,88.3023 1947.12,88.3023 1947.12,1456.91 1948.5,1456.91 \n",
       "  1948.5,88.3023 1950.32,88.3023 1950.32,1456.91 1953.59,1456.91 1953.59,88.3023 1957.53,88.3023 1957.53,1456.91 1957.67,1456.91 1957.67,88.3023 1965.51,88.3023 \n",
       "  1965.51,1456.91 1967.72,1456.91 1967.72,88.3023 1971.67,88.3023 1971.67,1456.91 1984.61,1456.91 1984.61,88.3023 1998.02,88.3023 1998.02,1456.91 2000.26,1456.91 \n",
       "  2000.26,88.3023 2000.4,88.3023 2000.4,1456.91 2002.93,1456.91 2002.93,88.3023 2004.31,88.3023 2004.31,1456.91 2022.04,1456.91 2022.04,88.3023 2023.74,88.3023 \n",
       "  2023.74,1456.91 2025.21,1456.91 2025.21,88.3023 2031.88,88.3023 2031.88,1456.91 2034.47,1456.91 2034.47,88.3023 2038.5,88.3023 2038.5,1456.91 2042.92,1456.91 \n",
       "  2042.92,88.3023 2043.69,88.3023 2043.69,1456.91 2048.91,1456.91 2048.91,88.3023 2058.12,88.3023 2058.12,1456.91 2061.49,1456.91 2061.49,88.3023 2066.42,88.3023 \n",
       "  2066.42,1456.91 2070.66,1456.91 2070.66,88.3023 2072.82,88.3023 2072.82,1456.91 2074.72,1456.91 2074.72,88.3023 2076.7,88.3023 2076.7,1456.91 2084.59,1456.91 \n",
       "  2084.59,88.3023 2089.69,88.3023 2089.69,1456.91 2096.38,1456.91 2096.38,88.3023 2101.57,88.3023 2101.57,1456.91 2123.99,1456.91 2123.99,88.3023 2125.5,88.3023 \n",
       "  2125.5,1456.91 2138.29,1456.91 2138.29,88.3023 2138.74,88.3023 2138.74,1456.91 2150.11,1456.91 2150.11,88.3023 2152.02,88.3023 2152.02,1456.91 2152.81,1456.91 \n",
       "  2152.81,88.3023 2153.8,88.3023 2153.8,1456.91 2157.03,1456.91 2157.03,88.3023 2162.95,88.3023 2162.95,1456.91 2165.06,1456.91 2165.06,88.3023 2167.56,88.3023 \n",
       "  2167.56,1456.91 2173.03,1456.91 2173.03,88.3023 2177.86,88.3023 2177.86,1456.91 2178.17,1456.91 2178.17,88.3023 2183.61,88.3023 2183.61,1456.91 2188.96,1456.91 \n",
       "  2188.96,88.3023 2193.27,88.3023 2193.27,1456.91 2193.38,1456.91 2193.38,88.3023 2198.87,88.3023 2198.87,1456.91 2200.77,1456.91 2200.77,88.3023 2205.44,88.3023 \n",
       "  2205.44,1456.91 2214.86,1456.91 2214.86,88.3023 2215.98,88.3023 2215.98,1456.91 2216.4,1456.91 2216.4,88.3023 2217.42,88.3023 2217.42,1456.91 2226.32,1456.91 \n",
       "  2226.32,88.3023 2229.07,88.3023 2229.07,1456.91 2232.46,1456.91 2232.46,88.3023 2232.49,88.3023 2232.49,1456.91 2237.61,1456.91 2237.61,88.3023 2238.73,88.3023 \n",
       "  2238.73,1456.91 2240.82,1456.91 2240.82,88.3023 2250.08,88.3023 2250.08,1456.91 2251.95,1456.91 2251.95,88.3023 2252.03,88.3023 2252.03,1456.91 2256.98,1456.91 \n",
       "  2256.98,88.3023 2257.15,88.3023 2257.15,1456.91 2262.03,1456.91 2262.03,88.3023 2265.94,88.3023 2265.94,1456.91 2266.28,1456.91 2266.28,88.3023 2273.51,88.3023 \n",
       "  2273.51,1456.91 2278.36,1456.91 2278.36,88.3023 2280.02,88.3023 2280.02,1456.91 2283.13,1456.91 2283.13,88.3023 2283.79,88.3023 2283.79,1456.91 2283.81,1456.91 \n",
       "  2283.81,88.3023 2286.08,88.3023 2286.08,1456.91 2295.24,1456.91 2295.24,88.3023 2297.34,88.3023 2297.34,1456.91 2303.29,1456.91 2303.29,88.3023 2306.48,88.3023 \n",
       "  2306.48,1456.91 2307.25,1456.91 2307.25,88.3023 2312.53,88.3023 2312.53,1456.91 2332.11,1456.91 2332.11,88.3023 2340.63,88.3023 2340.63,1456.91 2343.82,1456.91 \n",
       "  2343.82,88.3023 2350.39,88.3023 2350.39,1456.91 2353.29,1456.91 2353.29,88.3023 2354.07,88.3023 2354.07,1456.91 2367.4,1456.91 2367.4,88.3023 2375.4,88.3023 \n",
       "  2375.4,1456.91 2380.08,1456.91 2380.08,88.3023 2383.18,88.3023 2383.18,1456.91 2390.69,1456.91 2390.69,88.3023 2390.73,88.3023 2390.73,1456.91 2396.46,1456.91 \n",
       "  2396.46,88.3023 2396.66,88.3023 2396.66,1456.91 2399.04,1456.91 2399.04,88.3023 2399.21,88.3023 2399.21,1456.91 2402.03,1456.91 2402.03,88.3023 2420.4,88.3023 \n",
       "  2420.4,1456.91 2446.64,1456.91 2446.64,88.3023 2448.24,88.3023 2448.24,1456.91 2454.85,1456.91 2454.85,88.3023 2456.05,88.3023 2456.05,1456.91 2461.12,1456.91 \n",
       "  2461.12,88.3023 2461.72,88.3023 2461.72,1456.91 2466.22,1456.91 2466.22,88.3023 2468.18,88.3023 2468.18,1456.91 2481.4,1456.91 2481.4,88.3023 2484.09,88.3023 \n",
       "  2484.09,1456.91 2484.29,1456.91 2484.29,88.3023 2484.66,88.3023 2484.66,1456.91 2489.69,1456.91 2489.69,88.3023 2491.75,88.3023 2491.75,1456.91 2494.44,1456.91 \n",
       "  2494.44,88.3023 2498.76,88.3023 2498.76,1456.91 2516.9,1456.91 2516.9,88.3023 2519.12,88.3023 2519.12,1456.91 2522.38,1456.91 2522.38,88.3023 2523.88,88.3023 \n",
       "  2523.88,1456.91 2524.11,1456.91 2524.11,88.3023 2530.41,88.3023 2530.41,1456.91 2532.18,1456.91 2532.18,88.3023 2533.67,88.3023 2533.67,1456.91 2538.5,1456.91 \n",
       "  2538.5,88.3023 2541.02,88.3023 2541.02,1456.91 2546.25,1456.91 2546.25,88.3023 2549.62,88.3023 2549.62,1456.91 2555.61,1456.91 2555.61,88.3023 2556.76,88.3023 \n",
       "  2556.76,1456.91 2557.69,1456.91 2557.69,88.3023 2558.04,88.3023 2558.04,1456.91 2566.56,1456.91 2566.56,88.3023 2566.62,88.3023 2566.62,1456.91 2585.23,1456.91 \n",
       "  2585.23,88.3023 2585.94,88.3023 2585.94,1456.91 2586.42,1456.91 2586.42,88.3023 2589.77,88.3023 2589.77,1456.91 2590.32,1456.91 2590.32,88.3023 2592.48,88.3023 \n",
       "  2592.48,1456.91 2593.18,1456.91 2593.18,88.3023 2593.78,88.3023 2593.78,1456.91 2594.41,1456.91 2594.41,88.3023 2597.34,88.3023 2597.34,1456.91 2597.48,1456.91 \n",
       "  2597.48,88.3023 2598.61,88.3023 2598.61,1456.91 2605.51,1456.91 2605.51,88.3023 2608.01,88.3023 2608.01,1456.91 2610.92,1456.91 2610.92,88.3023 2612.38,88.3023 \n",
       "  2612.38,1456.91 2613.49,1456.91 2613.49,88.3023 2619.57,88.3023 2619.57,1456.91 2625.33,1456.91 2625.33,88.3023 2625.75,88.3023 2625.75,1456.91 2631.3,1456.91 \n",
       "  2631.3,88.3023 2633.87,88.3023 2633.87,1456.91 2636.98,1456.91 2636.98,88.3023 2637.87,88.3023 2637.87,1456.91 2639.36,1456.91 2639.36,88.3023 2641.06,88.3023 \n",
       "  2641.06,1456.91 2657.69,1456.91 2657.69,88.3023 2659.15,88.3023 2659.15,1456.91 2676.18,1456.91 2676.18,88.3023 2678.72,88.3023 2678.72,1456.91 2680.44,1456.91 \n",
       "  2680.44,88.3023 2680.53,88.3023 2680.53,1456.91 2684.19,1456.91 2684.19,88.3023 2687.62,88.3023 2687.62,1456.91 2698.69,1456.91 2698.69,88.3023 2699.87,88.3023 \n",
       "  2699.87,1456.91 2700.99,1456.91 2700.99,88.3023 2702.72,88.3023 2702.72,1456.91 2707.84,1456.91 2707.84,88.3023 2709.61,88.3023 2709.61,1456.91 2732.03,1456.91 \n",
       "  2732.03,88.3023 2732.55,88.3023 2732.55,1456.91 2747.17,1456.91 2747.17,88.3023 2747.79,88.3023 2747.79,1456.91 2751.51,1456.91 2751.51,88.3023 2753.69,88.3023 \n",
       "  2753.69,1456.91 2757,1456.91 2757,88.3023 2757.41,88.3023 2757.41,1456.91 2759.71,1456.91 2759.71,88.3023 2760.19,88.3023 2760.19,1456.91 2761.26,1456.91 \n",
       "  2761.26,88.3023 2766.12,88.3023 2766.12,1456.91 2768.37,1456.91 2768.37,88.3023 2776.65,88.3023 2776.65,1456.91 2784.86,1456.91 2784.86,88.3023 2788.1,88.3023 \n",
       "  2788.1,1456.91 2795.28,1456.91 2795.28,88.3023 2800.12,88.3023 2800.12,1456.91 2806.17,1456.91 2806.17,88.3023 2809.05,88.3023 2809.05,1456.91 2809.75,1456.91 \n",
       "  2809.75,88.3023 2810.58,88.3023 2810.58,1456.91 2814.17,1456.91 2814.17,88.3023 2816.64,88.3023 2816.64,1456.91 2817.94,1456.91 2817.94,88.3023 2827.64,88.3023 \n",
       "  2827.64,1456.91 2834.49,1456.91 2834.49,88.3023 2835.98,88.3023 2835.98,1456.91 2848.15,1456.91 2848.15,88.3023 2848.21,88.3023 2848.21,1456.91 2851.48,1456.91 \n",
       "  2851.48,88.3023 2851.86,88.3023 2851.86,1456.91 2852.33,1456.91 2852.33,88.3023 2857.15,88.3023 2857.15,1456.91 2859.26,1456.91 2859.26,88.3023 2866.65,88.3023 \n",
       "  2866.65,1456.91 2868.92,1456.91 2868.92,88.3023 2869.7,88.3023 2869.7,1456.91 2871.79,1456.91 2871.79,88.3023 2880.6,88.3023 2880.6,1456.91 2881.92,1456.91 \n",
       "  2881.92,88.3023 2886.08,88.3023 2886.08,1456.91 2888.2,1456.91 2888.2,88.3023 2889.57,88.3023 2889.57,1456.91 2894,1456.91 2894,88.3023 2896.46,88.3023 \n",
       "  2896.46,1456.91 2918.46,1456.91 2918.46,88.3023 2918.91,88.3023 2918.91,1456.91 2924.26,1456.91 2924.26,88.3023 2927.72,88.3023 2927.72,1456.91 2928.75,1456.91 \n",
       "  2928.75,88.3023 2934.95,88.3023 2934.95,1456.91 2940.03,1456.91 2940.03,88.3023 2941.2,88.3023 2941.2,1456.91 2941.24,1456.91 2941.24,88.3023 2943.24,88.3023 \n",
       "  2943.24,1456.91 2946.39,1456.91 2946.39,88.3023 2947.61,88.3023 2947.61,1456.91 2951.24,1456.91 2951.24,88.3023 2951.25,88.3023 2951.25,1456.91 2953.07,1456.91 \n",
       "  2953.07,88.3023 2954.98,88.3023 2954.98,1456.91 2957.49,1456.91 2957.49,88.3023 2966.14,88.3023 2966.14,1456.91 2967.55,1456.91 2967.55,88.3023 2969.15,88.3023 \n",
       "  2969.15,1456.91 2972.42,1456.91 2972.42,88.3023 2973.92,88.3023 2973.92,1456.91 2985.01,1456.91 2985.01,88.3023 2986.97,88.3023 2986.97,1456.91 2990.38,1456.91 \n",
       "  2990.38,88.3023 2991.82,88.3023 2991.82,1456.91 3003.46,1456.91 3003.46,88.3023 3003.95,88.3023 3003.95,1456.91 3006.56,1456.91 3006.56,88.3023 3008.64,88.3023 \n",
       "  3008.64,1456.91 3013.43,1456.91 3013.43,88.3023 3013.85,88.3023 3013.85,1456.91 3015.26,1456.91 3015.26,88.3023 3017.55,88.3023 3017.55,1456.91 3018.7,1456.91 \n",
       "  3018.7,88.3023 3022.39,88.3023 3022.39,1456.91 3023.12,1456.91 3023.12,88.3023 3023.74,88.3023 3023.74,1456.91 3025.21,1456.91 3025.21,88.3023 3026.4,88.3023 \n",
       "  3026.4,1456.91 3030.94,1456.91 3030.94,88.3023 3039.57,88.3023 3039.57,1456.91 3041.17,1456.91 3041.17,88.3023 3048.21,88.3023 3048.21,1456.91 3055.45,1456.91 \n",
       "  3055.45,88.3023 3058.79,88.3023 3058.79,1456.91 3062.78,1456.91 3062.78,88.3023 3069.96,88.3023 3069.96,1456.91 3076.37,1456.91 3076.37,88.3023 3093.58,88.3023 \n",
       "  3093.58,1456.91 3093.8,1456.91 3093.8,88.3023 3101.33,88.3023 3101.33,1456.91 3111.29,1456.91 3111.29,88.3023 3123.27,88.3023 3123.27,1456.91 3128.04,1456.91 \n",
       "  3128.04,88.3023 3130.29,88.3023 3130.29,1456.91 3137.99,1456.91 3137.99,88.3023 3142.56,88.3023 3142.56,1456.91 3151.92,1456.91 3151.92,88.3023 3154.11,88.3023 \n",
       "  3154.11,1456.91 3158.92,1456.91 3158.92,88.3023 3162,88.3023 3162,1456.91 3166.16,1456.91 3166.16,88.3023 3169.05,88.3023 3169.05,1456.91 3174.03,1456.91 \n",
       "  3174.03,88.3023 3175.19,88.3023 3175.19,1456.91 3176,1456.91 3176,88.3023 3177.85,88.3023 3177.85,1456.91 3180.96,1456.91 3180.96,88.3023 3187.36,88.3023 \n",
       "  3187.36,1456.91 3192.55,1456.91 3192.55,88.3023 3194.28,88.3023 3194.28,1456.91 3199.02,1456.91 3199.02,88.3023 3206.92,88.3023 3206.92,1456.91 3211.6,1456.91 \n",
       "  3211.6,88.3023 3216.91,88.3023 3216.91,1456.91 3219.95,1456.91 3219.95,88.3023 3223.9,88.3023 3223.9,1456.91 3226.27,1456.91 3226.27,88.3023 3228.12,88.3023 \n",
       "  3228.12,1456.91 3252.85,1456.91 3252.85,88.3023 3265.39,88.3023 3265.39,1456.91 3277.52,1456.91 3277.52,88.3023 3283.98,88.3023 3283.98,1456.91 3306.75,1456.91 \n",
       "  3306.75,88.3023 3306.95,88.3023 3306.95,1456.91 3309.62,1456.91 3309.62,88.3023 3312.01,88.3023 3312.01,1456.91 3325.33,1456.91 3325.33,88.3023 3329.72,88.3023 \n",
       "  3329.72,1456.91 3332.84,1456.91 3332.84,88.3023 3333.03,88.3023 3333.03,1456.91 3334.26,1456.91 3334.26,88.3023 3342.5,88.3023 3342.5,1456.91 3342.56,1456.91 \n",
       "  3342.56,88.3023 3344.13,88.3023 3344.13,1456.91 3359.74,1456.91 3359.74,88.3023 3363.26,88.3023 3363.26,1456.91 3370.48,1456.91 3370.48,88.3023 3371.29,88.3023 \n",
       "  3371.29,1456.91 3375.83,1456.91 3375.83,88.3023 3379.1,88.3023 3379.1,1456.91 3382.91,1456.91 3382.91,88.3023 3383.65,88.3023 3383.65,1456.91 3385.27,1456.91 \n",
       "  3385.27,88.3023 3391.08,88.3023 3391.08,1456.91 3394.35,1456.91 3394.35,88.3023 3401.45,88.3023 3401.45,1456.91 3408.59,1456.91 3408.59,88.3023 3410.32,88.3023 \n",
       "  3410.32,1456.91 3413.38,1456.91 3413.38,88.3023 3416.26,88.3023 3416.26,1456.91 3423.96,1456.91 3423.96,88.3023 3427.38,88.3023 3427.38,1456.91 3428.73,1456.91 \n",
       "  3428.73,88.3023 3430.38,88.3023 3430.38,1456.91 3430.86,1456.91 3430.86,88.3023 3431.37,88.3023 3431.37,1456.91 3431.39,1456.91 3431.39,88.3023 3434.68,88.3023 \n",
       "  3434.68,1456.91 3443.46,1456.91 3443.46,88.3023 3443.59,88.3023 3443.59,1456.91 3457.49,1456.91 3457.49,88.3023 \n",
       "  \"/>\n",
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   "source": [
    "lambda = 1.0\n",
    "mu = 2.0\n",
    "pi_inicial = [1.0,0.0]\n",
    "Tfinal = 500.0\n",
    "\n",
    "T,X = simula_ON_OFF(lambda,mu,pi_inicial,Tfinal)\n",
    "plot(T,X,lt=:steppost, legend=:none)\n",
    "scatter!(T,X)"
   ]
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  {
   "cell_type": "markdown",
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    "slideshow": {
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   },
   "source": [
    "### Ocupación de estados y valor medio.\n",
    "\n",
    "Calculemos en este caso algunas medidas empíricas para la cadena y veamos que coinciden con el régimen. En particular consideremos (en régimen):\n",
    "\n",
    "$$\\bar{X} = E[X(t)] = \\sum_i i \\pi_i = 0\\left(\\frac{\\mu}{\\lambda+\\mu}\\right) + 1 \\left( \\frac{\\lambda}{\\lambda+\\mu}\\right) = \\frac{\\lambda}{\\lambda+\\mu}.$$\n",
    "\n",
    "Que para el ejemplo analizado antes toma un valor de $\\bar{X} = 1/3$. Dicha medida debería coincidir (si vale una ley de grandes números) con:\n",
    "\n",
    "$$\\lim_{T\\to\\infty} \\frac{1}{T} \\int_0^T X(s)ds.$$\n",
    "\n",
    "es decir, el valor medio de la señal aleatoria converge siempre a la esperanza en régimen."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Cálculo del valor medio:\n",
    "\n",
    "Como la función $X(t)$ es constante a tramos, puede verse que:\n",
    "\n",
    "$$\\int_0^{T_n} X(s)ds = \\sum_{i=0}^{n-1} X_i (T_{i+1}-T_i),$$\n",
    "\n",
    "siendo $T_i$ los tiempos de salto, y $X_i = X(T_i)$, el valor a donde salta. En este caso elegimos calcular hasta un último tiempo de salto (si no hay que corregir el último término)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.35191890276697385"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "### Calculo del valor medio:\n",
    "\n",
    "Xbar = sum(X[1:end-1].*diff(T))/T[end]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "slideshow": {
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   "outputs": [
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       "  381.936,204.265 383.009,214.84 385.711,160.721 389.317,195.747 391.618,151.964 393.393,168.8 397.586,93.1902 420.073,279.947 426.793,175.11 429.724,196.721 \n",
       "  429.753,196.296 443.454,288.376 443.724,284.532 450.308,324.229 451.328,310.083 468.048,400.459 471.355,357.695 478.746,394.146 480.869,367.904 485.563,390.156 \n",
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       "  973.126,175.595 989.786,204.682 990.146,203.412 990.871,204.648 991.368,202.897 993.091,205.828 994.445,201.075 997.166,205.685 1003.01,185.404 1003.43,186.119 \n",
       "  1004.98,180.796 1010.11,189.462 1010.4,188.455 1011.04,189.523 1011.52,187.873 1012.63,189.727 1014.83,182.261 1015.03,182.598 1018.21,171.88 1028.15,188.427 \n",
       "  1028.17,188.352 1035.18,199.757 1037.01,193.714 1046.46,208.826 1048.44,202.351 1049.82,204.529 1056.64,182.447 1061.95,190.837 1064.75,181.908 1068.33,187.514 \n",
       "  1070,182.211 1073.63,187.867 1074.35,185.622 1098.81,222.525 1103.82,207.11 1105.71,209.887 1106.52,207.412 1108.06,209.67 1112.72,195.563 1119.4,205.318 \n",
       "  1122.15,197.092 1125.77,202.34 1128.65,193.801 1137.94,207.101 1139.93,201.267 1140.02,201.402 1141.18,198.014 1149.85,210.225 1150.07,209.595 1150.79,210.598 \n",
       "  1161.76,179.128 1162.41,180.038 1164.03,175.467 1164.88,176.67 1165.73,174.282 1178.16,191.57 1184.26,174.638 1195.34,189.771 1201.1,174.092 1210.34,186.511 \n",
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       "  1440.95,216.979 1443.3,219.424 1445.16,215.34 1447.47,217.742 1450.93,210.198 1454.91,214.333 1456.26,211.402 1458.59,213.817 1459.04,212.845 1464.2,218.152 \n",
       "  1466.44,213.318 1468.17,215.09 1468.74,213.864 1471.37,216.554 1475.17,208.435 1479.6,212.947 1482.64,206.506 1497.61,221.579 1500.57,215.376 1502.02,216.825 \n",
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       "  1543.44,194.425 1546.03,196.959 1546.76,195.51 1552.82,201.408 1553.71,199.633 1556.38,202.213 1558.4,198.206 1564.54,204.115 1565.25,202.704 1579.64,216.336 \n",
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       "  1666.82,187.641 1681.09,200.347 1689.47,185.22 1705.65,199.409 1710.98,189.939 1711.59,190.472 1712.85,188.245 1730.65,203.556 1733.73,198.146 1745.88,208.41 \n",
       "  1747.37,205.831 1759.44,215.878 1767.06,202.76 1771.14,206.141 1771.34,205.803 1776.13,209.74 1782.02,199.712 1785.03,202.184 1785.64,201.148 1794.89,208.693 \n",
       "  1797.03,205.094 1808.9,214.663 1809.7,213.326 1816.09,218.425 1818.58,214.289 1825.1,219.459 1831.43,208.991 1833.65,210.741 1843.53,194.567 1843.6,194.618 \n",
       "  1847.18,188.813 1857.54,197.017 1857.65,196.844 1858.77,197.727 1859.95,195.829 1871.43,204.789 1876.74,196.292 1877.38,196.792 1878.45,195.088 1879.28,195.734 \n",
       "  1882.91,189.979 1888.99,194.696 1889.79,193.436 1893.23,196.09 1895.81,192.026 1897.5,193.328 1899.3,190.499 1901.58,192.25 1906.36,184.772 1922.96,197.436 \n",
       "  1926.22,192.385 1928.33,193.98 1933.28,186.374 1933.44,186.493 1934.24,185.265 1935.62,186.316 1937.46,183.513 1940.76,186.006 1944.73,179.953 1944.87,180.059 \n",
       "  1952.77,168.111 1955,169.804 1958.98,163.837 1972.03,173.671 1985.54,153.672 1987.8,155.371 1987.94,155.169 1990.49,157.088 1991.88,155.056 2009.75,168.32 \n",
       "  2011.47,165.826 2012.95,166.918 2019.67,157.193 2022.28,159.114 2026.35,153.266 2030.8,156.536 2031.58,155.414 2036.84,159.253 2046.12,146.05 2049.52,148.532 \n",
       "  2054.49,141.528 2058.77,144.65 2060.94,141.602 2062.86,142.999 2064.86,140.208 2072.81,145.968 2077.95,138.818 2084.69,143.676 2089.92,136.458 2112.52,152.533 \n",
       "  2114.05,150.449 2126.94,159.45 2127.39,158.833 2138.85,166.731 2140.78,164.116 2141.57,164.657 2142.57,163.31 2145.83,165.54 2151.8,157.503 2153.92,158.956 \n",
       "  2156.44,155.573 2161.95,159.335 2166.82,152.847 2167.14,153.062 2172.62,145.803 2178.02,149.487 2182.36,143.777 2182.47,143.855 2188,136.608 2189.92,137.914 \n",
       "  2194.63,131.776 2204.12,138.232 2205.25,136.775 2205.67,137.063 2206.71,135.729 2215.68,141.776 2218.45,138.201 2221.86,140.49 2221.89,140.457 2227.06,143.907 \n",
       "  2228.18,142.465 2230.29,143.87 2239.63,131.959 2241.51,133.218 2241.59,133.12 2246.58,136.438 2246.75,136.222 2251.67,139.475 2255.61,134.491 2255.96,134.718 \n",
       "  2263.24,125.57 2268.13,128.807 2269.8,126.722 2272.94,128.791 2273.6,127.964 2273.62,127.977 2275.91,125.124 2285.14,131.181 2287.27,128.549 2293.26,132.46 \n",
       "  2296.47,128.498 2297.26,129.006 2302.57,122.47 2322.31,135.217 2330.9,124.782 2334.12,126.846 2340.74,118.861 2343.67,120.733 2344.45,119.791 2357.89,128.339 \n",
       "  2365.95,118.736 2370.67,121.727 2373.79,118.031 2381.36,122.799 2381.4,122.751 2387.18,126.365 2387.38,126.12 2389.78,127.616 2389.95,127.415 2392.8,129.185 \n",
       "  2411.31,107.578 2437.76,123.932 2439.37,122.076 2446.04,126.14 2447.25,124.753 2452.36,127.85 2452.97,127.152 2457.5,129.89 2459.48,127.63 2472.8,135.619 \n",
       "  2475.51,132.546 2475.72,132.668 2476.09,132.244 2481.16,135.262 2483.24,132.909 2485.95,134.519 2490.3,129.605 2508.59,140.378 2510.82,137.878 2514.11,139.8 \n",
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       "  2584.77,141.541 2585.48,141.939 2586.08,141.282 2586.72,141.638 2589.68,138.432 2589.82,138.512 2590.95,137.284 2597.91,141.203 2600.42,138.491 2603.36,140.139 \n",
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       "  2633.74,135.574 2650.5,144.824 2651.98,143.26 2669.14,152.6 2671.7,149.911 2673.44,150.853 2673.53,150.762 2677.22,152.753 2680.68,149.129 2691.83,155.115 \n",
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     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## Evolucion\n",
    "\n",
    "Xbart = zeros(length(T));\n",
    "for i=1:length(T)-1\n",
    "    Xbart[i+1] = sum(X[1:i].*diff(T[1:i+1]))/T[i+1]\n",
    "end\n",
    "\n",
    "plot(T,Xbart, label=L\"\\bar{X}(t)\")\n",
    "plot!(T,lambda/(lambda+mu)*ones(size(T)), label=L\"\\bar{X}\", ls=:dash)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Cálculo de la probabildad de estado\n",
    "\n",
    "Análogamente podemos calcular la proporción de tiempo que se visita el estado $i$:\n",
    "\n",
    "$$\\bar{\\pi}_i = \\lim_{T\\to\\infty} \\frac{1}{T} \\int_0^T \\mathbf{1}_{\\{X(s)=i\\}} ds,$$\n",
    "\n",
    "siendo $\\mathbf{1}_{\\{X(s)=i\\}}$ una función que vale $1$ si $X(s)=i$ y $0$ si no. Notar que la integral \"suma\" los tiempos de visita a $i$ y luego divide entre $T$. Podemos hacer esto con el mismo truco de arriba (en el fondo es el valor medio de la señal $g(X) = \\mathbf{1}_{\\{X=i\\}}$."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
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     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "### Calculo de la proporción de tiempo en 0:\n",
    "\n",
    "pi0bar = sum( (X[1:end-1].==0).*diff(T))/T[end]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
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   },
   "outputs": [
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      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "## Evolucion\n",
    "\n",
    "pi0bart = zeros(length(T));\n",
    "for i=1:length(T)-1\n",
    "    pi0bart[i+1] = sum((X[1:i].==0).*diff(T[1:i+1]))/T[i+1]\n",
    "end\n",
    "\n",
    "plot(T,pi0bart, label=L\"\\bar{\\pi}_0(t)\")\n",
    "plot!(T,mu/(lambda+mu)*ones(size(T)), label=L\"\\pi_0\", ls=:dash)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Relación con el semigrupo de transición\n",
    "\n",
    "¿Podemos calcular la matriz $P(t)$ en este caso? ¿Qué ocurre cuando $t\\to\\infty$?\n",
    "\n",
    "**Respuesta:** La solución de $P(t)$ es muy parecida a la de $\\pi(t)$ ya calculada, pero hagámosla numéricamente."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×2 Array{Float64,2}:\n",
       " -1.0   1.0\n",
       "  2.0  -2.0"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Q=[-lambda lambda;mu -mu]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2×2 Array{Float64,2}:\n",
       " 0.666667  0.333333\n",
       " 0.666667  0.333333"
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     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "t=10.0  ##Variar t para ver la convergencia\n",
    "P=exp(Q*t) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Conclusiones:\n",
    "\n",
    "A través de este ejemplo hemos analizado el comportamiento asintótico de una CMTC en un caso simple (donde hasta el semigrupo de transición se puede calcular explícitamente).\n",
    "\n",
    "En general, estudiar $\\pi(t)$ o $P(t)$ en detalle no es posible analíticamente, pero surgen las mismas preguntas que en tiempo discreto:\n",
    "\n",
    "* ¿Existe el límite de $\\pi(t)$ cuando $t\\to\\infty$?\n",
    "* ¿Es único? ¿Depende de la condición inicial?\n",
    "* ¿Cómo se relaciona con los promedios temporales?\n",
    "\n",
    "Para la cadena ON-OFF vimos que el límite es único para cualquier condición inicial, y que conicide con los promedios temporales. ¿Qué debe cumplir la cadena para que esto sea cierto?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Clasificación de estados de Cadenas de Markov de tiempo continuo\n",
    "\n",
    "### Conexión, irreducibilidad\n",
    "\n",
    "> **Definición:** Dos estados $i$, $j$ están conectados si y solo si existen estados intermedios $i_1,\\ldots,i_m$ y $j_1,\\ldots,j_n$ tales que:\n",
    ">\n",
    "> $$q_{ii_1}q_{i_1i_2}\\ldots q_{i_m j} >0 \\quad \\text{y} \\quad q_{jj_1}q_{i_1i_2}\\ldots q_{j_n i} >0.$$\n",
    ">\n",
    "> Es decir, un camino de ida y vuelta en el grafo.\n",
    "\n",
    "> **Definición:** Una cadena se dice *irreducible* si y solo si todos sus estados están conectados."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Recurrencia, transitoriedad\n",
    "\n",
    "Definamos primero $\\tau_i^{\\to} = \\inf\\{t:X(t)\\neq i\\}$, el tiempo de salida de $i$. recordemos que si la cadena arranca en $i$ este tiempo es exponencial de parámetro $q_i = -q_{ii}$.\n",
    "\n",
    "> **Definición:** Un estado se dice *recurrente* si y solo si:\n",
    ">\n",
    "> $$P(X(t)=i \\text{ para algún }t>\\tau_{i}^\\to \\mid X(0)=i) = 1$$\n",
    ">\n",
    "> En otro caso se dice *transitorio*.\n",
    "\n",
    "Sea además $\\tau_i$ el \"tiempo de primer retorno al estado $i$\", es decir, la primera vez que se visita a $i$ después del tiempo $\\ŧau_i^\\to$:\n",
    "\n",
    "$$\\tau_i = \\inf\\{t>\\tau_i^\\to: X(t)=i\\}$$\n",
    "\n",
    "Entonces un estado recurrente se dice:\n",
    "\n",
    "* *Recurrente positivo* si y solo si $E[\\tau_i \\mid X(0)=i]<\\infty$.\n",
    "* *Recurrente nulo* si y solo si $E[\\tau_i \\mid X(0)=i]=\\infty$.\n",
    "\n",
    "Todas estas definiciones son las análogas a tiempo discreto. En particular se cumple que *si una cadena es irreducible, todos los estados son del mismo tipo*."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Cadenas ergódicas\n",
    "\n",
    "Una cadena irreducible y recurrente positiva se dice *ergódica*.\n",
    "\n",
    "> **Teorema:** Si una cadena es ergódica, entonces existe:\n",
    ">\n",
    ">$$\\pi = \\lim_{t\\to \\infty} \\pi(t) =  \\lim_{t\\to \\infty} \\pi(0)P(t).$$\n",
    ">\n",
    "> Dicho límite no depende de $\\pi(0)$, y verifica las ecuaciones de balance global:\n",
    ">\n",
    "> $$\\pi: \\left\\{\\begin{array}{cc}\\pi Q = 0 \\\\ \\pi \\mathbf{1} = 1\\end{array}\\right.$$\n",
    ">\n",
    "> Además, si $\\tau_i$ es el tiempo de retorno a $i$ se verifica que:\n",
    ">\n",
    "> $$\\pi_i = \\frac{1}{q_i E[\\tau_i]} > 0 \\quad \\forall i.$$\n",
    "\n",
    "Esta última ecuación se interpreta como.\n",
    "\n",
    "$$\\pi_i = \\frac{\\text{Tiempo medio de permanencia en $i$}}{\\text{Tiempo medio de retorno o ciclo a $i$}} = \\frac{E[\\tau_i^\\to]}{E[\\tau_i]}= \\frac{1/q_i}{E[\\tau_i]}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### ¿Hay cadenas continuas periódicas?\n",
    "\n",
    "No, no hay. No hay un equivalente a la noción de periodicidad de tiempo discreto.\n",
    "\n",
    "La razón es que los tiempos aleatorios exponenciales \"limpian\" el fenómeno de la periodicidad, porque la probabilidad de que dos tiempos coincidan por ejemplo es $0$.\n",
    "\n",
    "Por lo tanto, no hay que chequear noción de periodicidad en las cadenas continuas. Es un artificio del tiempo discreto.\n",
    "\n",
    "**Observación:** La cadena ON-OFF es \"periódica\" en el sentido de que siempre alterna de la misma manera entre dos estados, pero no es periódica si miramos los *tiempos* que permanece en cada uno (la onda cuadrada aleatoria)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Criterio de ergodicidad para cadenas finitas\n",
    "\n",
    "La recurrencia positiva es la condición más difícil de chequear. Por suerte esto es \"gratis\" en el caso finito:\n",
    "\n",
    "> **Teorema:** Si una cadena de tiempo continuo es *finita* e *irreducible*, entonces es necesariamente ergódica y tendrá un régimen bien definido (necesariamente visita todos los estados).\n",
    ">\n",
    "> El régimen se calcula resolviendo las ecuaciones de balance global."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Criterio de ergodicidad para cadenas infinitas\n",
    "\n",
    "> **Teorema:** Si una cadena de tiempo continuo es *irreducible* y existe **una única solución** de las ecuaciones de balance global:\n",
    ">\n",
    "> $$\\pi: \\left\\{\\begin{array}{l}\\pi Q = 0 \\\\ \\pi \\mathbf{1} = 1\\end{array}\\right.$$\n",
    ">\n",
    "> que además verifica $\\pi_i>0$ $\\forall i$, entonces la cadena es ergódica y $\\pi$ es su distribución invariante. En otro caso la cadena es transitoria o recurrente nula.\n",
    "\n",
    "Estos teoremas coinciden con el caso de tiempo discreto ya estudiado."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Interpretación de las ecuaciones de balance:\n",
    "\n",
    "Escribamos la ecuación $j$ de las ecuaciones de balance $\\pi Q = 0$:\n",
    "\n",
    "$$\\sum_{i\\in E} \\pi_i q_{ij} = 0.$$\n",
    "\n",
    "Pasando el término de la diagonal para el otro lado queda:\n",
    "\n",
    "$$\\sum_{i\\neq j} \\pi_i q_{ij} = -q_{jj}\\pi_j.$$\n",
    "\n",
    "O equivalentemente, de forma más simétrica:\n",
    "$$\\sum_{i\\neq j} \\pi_i q_{ij} = \\sum_{i\\neq j} \\pi_jq_{ji}.$$\n",
    "\n",
    "Esto debe leerse como \"la frecuencia con que se observan transiciones hacia fuera de $j$ se balancea con la frecuencia con que observamos transiciones hacia $j$\". Con este criterio, se pueden escribir directamente las ecuaciones de balance del grafo de la cadena, sin pasar por la matriz $Q$. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Diagrama\n",
    "\n",
    "![Balance global](images/global_balance.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Cadenas de Markov y relojes exponenciales\n",
    "\n",
    "Hasta ahora vimos dos maneras de entender las trayectorias de una CMTC $X(t)$:\n",
    "\n",
    "1. Como un proceso que cumple la propiedad de Markov y tiene un semigrupo de transición $P(t)$.\n",
    "\n",
    "2. La versión constructiva: dado el generador $Q$, la cadena:\n",
    "\n",
    "    1. Se queda un tiempo exponencial $q_i = -q_{ii}$ en el estado $i$.\n",
    "    \n",
    "    2. Al cabo de dicho tiempo, salta al estado $j$ con probabilidad $q_{ij}/q_i$.\n",
    "    \n",
    "    \n",
    "Existe una tercera construcción que se basa en la propiedad del mínimo de exponenciales que ya vimos."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Mínimo de v.a. exponenciales\n",
    "\n",
    "Supongamos que $X_1,\\ldots, X_n$ son variables aleatorias exponenciales independientes, cada una de ellas con parámetro $\\lambda_i$.\n",
    "\n",
    "Entonces se cumple que:\n",
    "\n",
    "1. $X = \\min\\{X_1,\\ldots,X_n\\}$ tiene distribución exponencial de parámetro $\\lambda = \\lambda_1+\\ldots+\\lambda_n$.\n",
    "\n",
    "2. $P(X=X_i) = \\lambda_i/\\lambda$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Construcción alternativa de una Cadena de Markov de tiempo continuo\n",
    "\n",
    "Reemplazando $\\lambda_j$ por $q_{ij}$ en el teorema anterior, tenemos la siguiente construcción alternativa de una cadena de Markov:\n",
    "\n",
    "1. Al llegar al estado $i$, para cada $j$ con $q_{ij}>0$ sorteo un tiempo exponencial de parámetro $q_{ij}$ (a esto le llamamos un reloj exponencial).\n",
    "\n",
    "2. Considero el primero de los relojes que \"suena\" (el contador que termina primero). El que \"gana la carrera\" me dice:\n",
    "\n",
    "    1. Cuanto tiempo me quedo en i (lo que haya durado ese contador).\n",
    "\n",
    "    2. A qué estado salto (el estado cuyo contador haya ganado).\n",
    "    \n",
    "Luego repetimos este procedimiento hasta completar el tiempo de simulación.\n",
    "\n",
    "**Observación:** en el caso ON-OFF ya visto, como hay un único estado alternativo, hay un único reloj."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Ejemplo: el proceso de nacimiento y muerte.\n",
    "\n",
    "Se trata de un proceso de espacio de estados $E=\\mathbb{N}$, tasa de \"nacimiento\" $\\lambda$ y tasa de \"muerte\" $\\mu$.\n",
    "\n",
    "![Birth death](images/birth_death.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Simulación"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "simula_BD (generic function with 1 method)"
      ]
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     "execution_count": 12,
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     "output_type": "execute_result"
    }
   ],
   "source": [
    "function simula_BD(lambda,mu,x0,Tfinal)\n",
    "    \n",
    "    d1 = Exponential(1/lambda)\n",
    "    d2 = Exponential(1/mu)\n",
    "    \n",
    "    x=x0\n",
    "    t=0.0\n",
    "    \n",
    "    T=[t]\n",
    "    X=[x]\n",
    "    \n",
    "    while t<Tfinal\n",
    "        \n",
    "        if x>0\n",
    "            t1 = rand(d1)  #tiempo para subir\n",
    "            t2 = rand(d2)  ##tiempo para bajar\n",
    "        \n",
    "            if t1<t2    #gana subir\n",
    "                x=x+1\n",
    "                dt=t1\n",
    "            else        #gana bajar\n",
    "                x=x-1\n",
    "                dt=t2\n",
    "            end\n",
    "\n",
    "        else    \n",
    "            dt = rand(d1) #en 0 solo subo\n",
    "            x=x+1\n",
    "        end\n",
    "        t=t+dt\n",
    "        \n",
    "        push!(T,t)\n",
    "        push!(X,x)\n",
    "        \n",
    "        \n",
    "    end\n",
    "\n",
    "    return T,X\n",
    "end\n"
   ]
  },
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   "execution_count": 13,
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       "  309.611,161.621 311.529,161.621 311.529,149.401 311.653,149.401 311.653,161.621 312.075,161.621 312.075,173.84 312.582,173.84 312.582,186.06 312.597,186.06 \n",
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       "  321.897,222.719 321.97,222.719 321.97,210.499 322.279,210.499 322.279,222.719 323.058,222.719 323.058,210.499 323.518,210.499 323.518,198.28 324.087,198.28 \n",
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       "  324.984,222.719 325.058,222.719 325.058,234.939 325.11,234.939 325.11,247.159 325.132,247.159 325.132,259.378 325.205,259.378 325.205,247.159 325.354,247.159 \n",
       "  325.354,259.378 325.68,259.378 325.68,247.159 325.68,247.159 325.68,234.939 326.305,234.939 326.305,247.159 326.56,247.159 326.56,259.378 326.718,259.378 \n",
       "  326.718,271.598 326.756,271.598 326.756,283.818 327.113,283.818 327.113,271.598 327.167,271.598 327.167,283.818 327.413,283.818 327.413,296.037 327.453,296.037 \n",
       "  327.453,283.818 327.559,283.818 327.559,296.037 327.617,296.037 327.617,283.818 327.973,283.818 327.973,271.598 328.074,271.598 328.074,283.818 328.184,283.818 \n",
       "  328.184,296.037 329.86,296.037 329.86,283.818 330.06,283.818 330.06,271.598 330.181,271.598 330.181,283.818 330.345,283.818 330.345,271.598 330.576,271.598 \n",
       "  330.576,259.378 330.584,259.378 330.584,271.598 330.922,271.598 330.922,283.818 330.957,283.818 330.957,296.037 331.053,296.037 331.053,308.257 331.321,308.257 \n",
       "  331.321,320.477 332.513,320.477 332.513,332.696 332.947,332.696 332.947,344.916 333.012,344.916 333.012,332.696 333.069,332.696 333.069,320.477 333.614,320.477 \n",
       "  333.614,332.696 333.994,332.696 333.994,320.477 334.076,320.477 334.076,308.257 334.268,308.257 334.268,296.037 334.421,296.037 334.421,308.257 334.439,308.257 \n",
       "  334.439,320.477 334.988,320.477 334.988,332.696 335.086,332.696 335.086,320.477 335.359,320.477 335.359,308.257 335.587,308.257 335.587,296.037 335.99,296.037 \n",
       "  335.99,308.257 336.562,308.257 336.562,296.037 337.027,296.037 337.027,283.818 337.479,283.818 337.479,296.037 337.673,296.037 337.673,283.818 337.687,283.818 \n",
       "  337.687,296.037 338.019,296.037 338.019,283.818 338.288,283.818 338.288,296.037 338.498,296.037 338.498,308.257 338.774,308.257 338.774,296.037 339.222,296.037 \n",
       "  339.222,283.818 339.276,283.818 339.276,296.037 339.804,296.037 339.804,308.257 340.284,308.257 340.284,320.477 340.538,320.477 340.538,308.257 340.933,308.257 \n",
       "  340.933,320.477 341.626,320.477 341.626,332.696 341.939,332.696 341.939,344.916 343.652,344.916 343.652,357.136 344.051,357.136 344.051,344.916 344.432,344.916 \n",
       "  344.432,332.696 344.632,332.696 344.632,344.916 345.346,344.916 345.346,332.696 345.375,332.696 345.375,344.916 345.397,344.916 345.397,332.696 345.55,332.696 \n",
       "  345.55,320.477 345.976,320.477 345.976,308.257 346.037,308.257 346.037,296.037 346.15,296.037 346.15,283.818 346.232,283.818 346.232,296.037 346.657,296.037 \n",
       "  346.657,308.257 346.696,308.257 346.696,296.037 347.288,296.037 347.288,283.818 347.453,283.818 347.453,271.598 347.508,271.598 347.508,283.818 347.703,283.818 \n",
       "  347.703,296.037 347.754,296.037 347.754,283.818 347.851,283.818 347.851,296.037 348.173,296.037 348.173,308.257 348.388,308.257 348.388,296.037 348.469,296.037 \n",
       "  348.469,283.818 348.486,283.818 348.486,296.037 349.343,296.037 349.343,283.818 349.743,283.818 349.743,271.598 350.113,271.598 350.113,259.378 351.513,259.378 \n",
       "  351.513,247.159 352.209,247.159 352.209,234.939 353.037,234.939 353.037,247.159 354.137,247.159 354.137,259.378 354.538,259.378 354.538,271.598 356.51,271.598 \n",
       "  356.51,259.378 356.709,259.378 356.709,271.598 357.183,271.598 357.183,283.818 357.183,283.818 357.183,271.598 357.261,271.598 357.261,283.818 357.531,283.818 \n",
       "  357.531,296.037 357.796,296.037 357.796,283.818 358.221,283.818 358.221,296.037 358.341,296.037 358.341,308.257 358.623,308.257 358.623,296.037 358.853,296.037 \n",
       "  358.853,308.257 359.014,308.257 359.014,320.477 360.028,320.477 360.028,308.257 360.07,308.257 360.07,296.037 360.344,296.037 360.344,283.818 360.992,283.818 \n",
       "  360.992,271.598 361.012,271.598 361.012,283.818 362.215,283.818 362.215,296.037 362.28,296.037 362.28,308.257 362.473,308.257 362.473,320.477 362.684,320.477 \n",
       "  362.684,332.696 363.298,332.696 363.298,344.916 363.442,344.916 363.442,357.136 363.62,357.136 363.62,369.356 363.817,369.356 363.817,357.136 363.99,357.136 \n",
       "  363.99,344.916 364.067,344.916 364.067,357.136 364.112,357.136 364.112,369.356 364.443,369.356 364.443,381.575 364.513,381.575 364.513,393.795 364.562,393.795 \n",
       "  364.562,406.015 365.34,406.015 365.34,418.234 365.703,418.234 365.703,406.015 365.993,406.015 365.993,418.234 366.014,418.234 366.014,406.015 366.239,406.015 \n",
       "  366.239,393.795 366.544,393.795 366.544,381.575 366.644,381.575 366.644,369.356 366.678,369.356 366.678,381.575 367.117,381.575 367.117,393.795 367.585,393.795 \n",
       "  367.585,381.575 367.596,381.575 367.596,393.795 368.22,393.795 368.22,406.015 368.304,406.015 368.304,418.234 368.594,418.234 368.594,406.015 368.928,406.015 \n",
       "  368.928,418.234 369.149,418.234 369.149,430.454 369.537,430.454 369.537,418.234 370.473,418.234 370.473,430.454 371.653,430.454 371.653,418.234 372.05,418.234 \n",
       "  372.05,406.015 372.052,406.015 372.052,393.795 372.348,393.795 372.348,406.015 372.71,406.015 372.71,393.795 373.078,393.795 373.078,406.015 373.479,406.015 \n",
       "  373.479,418.234 373.761,418.234 373.761,406.015 374.036,406.015 374.036,418.234 374.729,418.234 374.729,430.454 374.927,430.454 374.927,418.234 375.685,418.234 \n",
       "  375.685,406.015 375.865,406.015 375.865,393.795 375.91,393.795 375.91,406.015 376.235,406.015 376.235,393.795 376.746,393.795 376.746,406.015 376.867,406.015 \n",
       "  376.867,393.795 376.899,393.795 376.899,406.015 376.972,406.015 376.972,393.795 376.99,393.795 376.99,381.575 377.143,381.575 377.143,393.795 377.6,393.795 \n",
       "  377.6,381.575 377.692,381.575 377.692,369.356 379.103,369.356 379.103,381.575 379.347,381.575 379.347,393.795 379.429,393.795 379.429,381.575 379.846,381.575 \n",
       "  379.846,393.795 380.285,393.795 380.285,406.015 380.325,406.015 380.325,393.795 380.466,393.795 380.466,381.575 380.57,381.575 380.57,393.795 382.149,393.795 \n",
       "  382.149,381.575 382.178,381.575 382.178,393.795 382.289,393.795 382.289,381.575 382.515,381.575 382.515,369.356 382.667,369.356 382.667,357.136 382.969,357.136 \n",
       "  382.969,369.356 383.052,369.356 383.052,357.136 383.593,357.136 383.593,344.916 383.718,344.916 383.718,332.696 383.818,332.696 383.818,320.477 383.832,320.477 \n",
       "  383.832,308.257 383.998,308.257 383.998,296.037 384.218,296.037 384.218,308.257 384.348,308.257 384.348,320.477 384.441,320.477 384.441,308.257 384.443,308.257 \n",
       "  384.443,296.037 385.56,296.037 385.56,283.818 385.85,283.818 385.85,271.598 386.153,271.598 386.153,283.818 387.006,283.818 387.006,271.598 387.209,271.598 \n",
       "  387.209,283.818 387.327,283.818 387.327,296.037 388.376,296.037 388.376,283.818 388.402,283.818 388.402,296.037 389.155,296.037 389.155,283.818 389.744,283.818 \n",
       "  389.744,296.037 390.043,296.037 390.043,308.257 390.604,308.257 390.604,320.477 390.862,320.477 390.862,308.257 391.241,308.257 391.241,320.477 391.911,320.477 \n",
       "  391.911,308.257 392.003,308.257 392.003,296.037 392.721,296.037 392.721,308.257 392.958,308.257 392.958,296.037 393.107,296.037 393.107,283.818 393.513,283.818 \n",
       "  393.513,271.598 393.762,271.598 393.762,259.378 393.947,259.378 393.947,271.598 394.184,271.598 394.184,259.378 394.489,259.378 394.489,247.159 394.618,247.159 \n",
       "  394.618,234.939 395.381,234.939 395.381,247.159 395.456,247.159 395.456,234.939 395.588,234.939 395.588,222.719 396.014,222.719 396.014,234.939 396.231,234.939 \n",
       "  396.231,247.159 396.434,247.159 396.434,259.378 396.546,259.378 396.546,271.598 396.621,271.598 396.621,283.818 396.652,283.818 396.652,296.037 397.008,296.037 \n",
       "  397.008,308.257 397.376,308.257 397.376,296.037 397.513,296.037 397.513,308.257 397.947,308.257 397.947,320.477 398.026,320.477 398.026,308.257 399.059,308.257 \n",
       "  399.059,320.477 399.255,320.477 399.255,308.257 399.35,308.257 399.35,320.477 399.393,320.477 399.393,308.257 400.164,308.257 400.164,320.477 400.408,320.477 \n",
       "  400.408,308.257 400.503,308.257 400.503,320.477 400.793,320.477 400.793,308.257 400.802,308.257 400.802,320.477 401.829,320.477 401.829,332.696 402.316,332.696 \n",
       "  402.316,344.916 402.811,344.916 402.811,332.696 403.167,332.696 403.167,344.916 404.05,344.916 404.05,332.696 404.315,332.696 404.315,344.916 404.578,344.916 \n",
       "  404.578,357.136 405.146,357.136 405.146,344.916 405.44,344.916 405.44,332.696 405.539,332.696 405.539,320.477 405.581,320.477 405.581,332.696 405.85,332.696 \n",
       "  405.85,320.477 406.194,320.477 406.194,332.696 406.206,332.696 406.206,320.477 407.011,320.477 407.011,308.257 407.101,308.257 407.101,296.037 407.286,296.037 \n",
       "  407.286,283.818 407.944,283.818 407.944,271.598 408.006,271.598 408.006,259.378 408.314,259.378 408.314,271.598 408.615,271.598 408.615,259.378 408.8,259.378 \n",
       "  408.8,271.598 411.011,271.598 411.011,283.818 411.143,283.818 411.143,296.037 411.345,296.037 411.345,283.818 411.854,283.818 411.854,296.037 412.036,296.037 \n",
       "  412.036,283.818 412.392,283.818 412.392,271.598 412.398,271.598 412.398,259.378 412.491,259.378 412.491,271.598 412.533,271.598 412.533,259.378 412.768,259.378 \n",
       "  412.768,271.598 413.162,271.598 413.162,259.378 414.187,259.378 414.187,247.159 415.017,247.159 415.017,259.378 415.157,259.378 415.157,271.598 416.103,271.598 \n",
       "  416.103,259.378 416.391,259.378 416.391,271.598 416.729,271.598 416.729,259.378 416.739,259.378 416.739,271.598 417.446,271.598 417.446,283.818 417.448,283.818 \n",
       "  417.448,271.598 417.601,271.598 417.601,259.378 418.023,259.378 418.023,271.598 418.785,271.598 418.785,259.378 420.309,259.378 420.309,247.159 420.477,247.159 \n",
       "  420.477,234.939 420.627,234.939 420.627,222.719 420.989,222.719 420.989,210.499 421.723,210.499 421.723,198.28 421.999,198.28 421.999,210.499 422.103,210.499 \n",
       "  422.103,198.28 422.399,198.28 422.399,210.499 422.754,210.499 422.754,198.28 423.009,198.28 423.009,186.06 423.356,186.06 423.356,198.28 423.569,198.28 \n",
       "  423.569,186.06 424.224,186.06 424.224,173.84 424.289,173.84 424.289,186.06 425.066,186.06 425.066,198.28 425.202,198.28 425.202,186.06 425.234,186.06 \n",
       "  425.234,198.28 425.508,198.28 425.508,210.499 425.552,210.499 425.552,198.28 425.687,198.28 425.687,210.499 425.692,210.499 425.692,198.28 426.753,198.28 \n",
       "  426.753,186.06 426.831,186.06 426.831,198.28 426.948,198.28 426.948,210.499 427.214,210.499 427.214,222.719 427.219,222.719 427.219,210.499 427.305,210.499 \n",
       "  427.305,222.719 427.877,222.719 427.877,210.499 427.905,210.499 427.905,198.28 428.384,198.28 428.384,210.499 428.897,210.499 428.897,198.28 429.063,198.28 \n",
       "  429.063,210.499 429.567,210.499 429.567,222.719 429.745,222.719 429.745,234.939 430.117,234.939 430.117,222.719 430.144,222.719 430.144,234.939 431.016,234.939 \n",
       "  431.016,222.719 432.077,222.719 432.077,210.499 432.361,210.499 432.361,222.719 432.439,222.719 432.439,234.939 432.77,234.939 432.77,247.159 432.83,247.159 \n",
       "  432.83,259.378 434.129,259.378 434.129,271.598 434.719,271.598 434.719,259.378 435.634,259.378 435.634,271.598 435.865,271.598 435.865,259.378 436.249,259.378 \n",
       "  436.249,271.598 436.407,271.598 436.407,283.818 436.558,283.818 436.558,271.598 436.593,271.598 436.593,259.378 436.613,259.378 436.613,247.159 436.855,247.159 \n",
       "  436.855,234.939 437.044,234.939 437.044,222.719 437.089,222.719 437.089,234.939 437.126,234.939 437.126,247.159 437.458,247.159 437.458,234.939 437.725,234.939 \n",
       "  437.725,247.159 437.726,247.159 437.726,234.939 437.833,234.939 437.833,222.719 437.858,222.719 437.858,210.499 437.913,210.499 437.913,222.719 438.106,222.719 \n",
       "  438.106,234.939 438.313,234.939 438.313,222.719 438.728,222.719 438.728,210.499 439.04,210.499 439.04,198.28 439.22,198.28 439.22,210.499 439.449,210.499 \n",
       "  439.449,222.719 439.687,222.719 439.687,210.499 439.765,210.499 439.765,222.719 440.456,222.719 440.456,234.939 440.48,234.939 440.48,222.719 440.505,222.719 \n",
       "  440.505,234.939 441.811,234.939 441.811,247.159 441.994,247.159 441.994,259.378 442.434,259.378 442.434,271.598 442.651,271.598 442.651,283.818 442.673,283.818 \n",
       "  442.673,271.598 443.307,271.598 443.307,283.818 443.625,283.818 443.625,271.598 443.65,271.598 443.65,283.818 444.233,283.818 444.233,296.037 444.273,296.037 \n",
       "  444.273,283.818 444.718,283.818 444.718,296.037 445.011,296.037 445.011,283.818 445.821,283.818 445.821,271.598 445.926,271.598 445.926,283.818 446.877,283.818 \n",
       "  446.877,271.598 446.976,271.598 446.976,259.378 447.533,259.378 447.533,271.598 447.545,271.598 447.545,283.818 447.648,283.818 447.648,271.598 447.86,271.598 \n",
       "  447.86,283.818 448.274,283.818 448.274,271.598 448.286,271.598 448.286,259.378 448.698,259.378 448.698,271.598 448.746,271.598 448.746,259.378 449.05,259.378 \n",
       "  449.05,271.598 449.331,271.598 449.331,259.378 450.365,259.378 450.365,271.598 450.568,271.598 450.568,283.818 450.79,283.818 450.79,296.037 450.828,296.037 \n",
       "  450.828,283.818 450.881,283.818 450.881,296.037 450.91,296.037 450.91,283.818 451.105,283.818 451.105,296.037 451.111,296.037 451.111,308.257 451.153,308.257 \n",
       "  451.153,320.477 451.821,320.477 451.821,332.696 452.53,332.696 452.53,344.916 453.738,344.916 453.738,357.136 454.166,357.136 454.166,369.356 454.454,369.356 \n",
       "  454.454,381.575 454.776,381.575 454.776,369.356 455.733,369.356 455.733,357.136 456.192,357.136 456.192,369.356 456.713,369.356 456.713,357.136 457.986,357.136 \n",
       "  457.986,369.356 458.661,369.356 458.661,381.575 458.856,381.575 458.856,369.356 458.96,369.356 458.96,381.575 459.83,381.575 459.83,369.356 460.019,369.356 \n",
       "  460.019,381.575 460.528,381.575 460.528,393.795 461.198,393.795 461.198,406.015 461.275,406.015 461.275,418.234 461.277,418.234 461.277,406.015 461.573,406.015 \n",
       "  461.573,418.234 461.593,418.234 461.593,430.454 462.446,430.454 462.446,442.674 462.459,442.674 462.459,454.894 462.663,454.894 462.663,467.113 463.641,467.113 \n",
       "  463.641,479.333 463.66,479.333 463.66,491.553 463.829,491.553 463.829,503.772 464.325,503.772 464.325,491.553 464.585,491.553 464.585,503.772 464.734,503.772 \n",
       "  464.734,491.553 465.437,491.553 465.437,479.333 465.751,479.333 465.751,467.113 466.077,467.113 466.077,454.894 466.218,454.894 466.218,467.113 466.352,467.113 \n",
       "  466.352,479.333 466.442,479.333 466.442,491.553 466.535,491.553 466.535,503.772 466.703,503.772 466.703,491.553 466.756,491.553 466.756,479.333 466.776,479.333 \n",
       "  466.776,491.553 466.776,491.553 466.776,479.333 466.958,479.333 466.958,491.553 467.017,491.553 467.017,503.772 468.232,503.772 468.232,491.553 468.384,491.553 \n",
       "  468.384,503.772 468.431,503.772 468.431,491.553 468.575,491.553 468.575,479.333 468.579,479.333 468.579,491.553 468.807,491.553 468.807,503.772 470.117,503.772 \n",
       "  470.117,491.553 470.182,491.553 470.182,479.333 470.939,479.333 470.939,467.113 471.925,467.113 471.925,454.894 471.989,454.894 471.989,467.113 472.001,467.113 \n",
       "  472.001,479.333 472.416,479.333 472.416,467.113 472.501,467.113 472.501,479.333 472.995,479.333 472.995,491.553 473.163,491.553 473.163,503.772 473.558,503.772 \n",
       "  473.558,491.553 473.993,491.553 473.993,503.772 474.728,503.772 474.728,515.992 474.873,515.992 474.873,503.772 475.614,503.772 475.614,491.553 475.615,491.553 \n",
       "  475.615,479.333 476.119,479.333 476.119,467.113 477.186,467.113 477.186,479.333 477.602,479.333 477.602,491.553 477.849,491.553 477.849,503.772 477.926,503.772 \n",
       "  477.926,515.992 479.086,515.992 479.086,528.212 479.402,528.212 479.402,540.432 479.659,540.432 479.659,552.651 479.983,552.651 479.983,540.432 480.378,540.432 \n",
       "  480.378,528.212 480.529,528.212 480.529,515.992 480.889,515.992 480.889,503.772 481.029,503.772 481.029,491.553 481.86,491.553 481.86,479.333 482.283,479.333 \n",
       "  482.283,491.553 482.437,491.553 482.437,503.772 482.456,503.772 482.456,515.992 483.262,515.992 483.262,528.212 483.442,528.212 483.442,540.432 483.573,540.432 \n",
       "  483.573,552.651 483.627,552.651 483.627,564.871 483.73,564.871 483.73,577.091 483.824,577.091 483.824,589.31 483.868,589.31 483.868,601.53 483.896,601.53 \n",
       "  483.896,613.75 483.974,613.75 483.974,625.969 484.062,625.969 484.062,613.75 484.095,613.75 484.095,601.53 484.106,601.53 484.106,613.75 484.293,613.75 \n",
       "  484.293,625.969 484.905,625.969 484.905,638.189 485.29,638.189 485.29,650.409 487.583,650.409 487.583,662.629 487.657,662.629 487.657,674.848 487.717,674.848 \n",
       "  487.717,687.068 488.038,687.068 488.038,674.848 488.102,674.848 488.102,687.068 488.989,687.068 488.989,674.848 489.485,674.848 489.485,662.629 489.698,662.629 \n",
       "  489.698,674.848 489.89,674.848 489.89,662.629 489.982,662.629 489.982,674.848 490.145,674.848 490.145,687.068 490.22,687.068 490.22,674.848 491.403,674.848 \n",
       "  491.403,687.068 491.607,687.068 491.607,699.288 491.907,699.288 491.907,711.507 491.917,711.507 491.917,723.727 492.607,723.727 492.607,711.507 492.688,711.507 \n",
       "  492.688,723.727 493.05,723.727 493.05,711.507 493.262,711.507 493.262,723.727 493.686,723.727 493.686,711.507 494.674,711.507 494.674,723.727 494.806,723.727 \n",
       "  494.806,711.507 495.47,711.507 495.47,723.727 495.829,723.727 495.829,735.947 496.364,735.947 496.364,723.727 496.697,723.727 496.697,711.507 497.438,711.507 \n",
       "  497.438,723.727 497.919,723.727 497.919,711.507 499.057,711.507 499.057,723.727 499.392,723.727 499.392,735.947 500.387,735.947 500.387,748.167 500.453,748.167 \n",
       "  500.453,760.386 501.267,760.386 501.267,748.167 501.281,748.167 501.281,760.386 501.294,760.386 501.294,748.167 501.638,748.167 501.638,735.947 501.983,735.947 \n",
       "  501.983,748.167 502.146,748.167 502.146,735.947 502.241,735.947 502.241,723.727 502.452,723.727 502.452,711.507 502.575,711.507 502.575,723.727 502.616,723.727 \n",
       "  502.616,735.947 502.868,735.947 502.868,723.727 503.569,723.727 503.569,711.507 503.848,711.507 503.848,723.727 504.369,723.727 504.369,711.507 505.109,711.507 \n",
       "  505.109,699.288 505.184,699.288 505.184,687.068 505.232,687.068 505.232,674.848 505.518,674.848 505.518,687.068 505.775,687.068 505.775,699.288 505.896,699.288 \n",
       "  505.896,687.068 509.319,687.068 509.319,674.848 509.386,674.848 509.386,687.068 509.817,687.068 509.817,674.848 509.929,674.848 509.929,662.629 510.221,662.629 \n",
       "  510.221,674.848 510.446,674.848 510.446,662.629 511.622,662.629 511.622,650.409 511.945,650.409 511.945,662.629 512.171,662.629 512.171,650.409 512.196,650.409 \n",
       "  512.196,662.629 512.358,662.629 512.358,650.409 512.483,650.409 512.483,662.629 512.881,662.629 512.881,674.848 513.17,674.848 513.17,687.068 513.224,687.068 \n",
       "  513.224,674.848 513.316,674.848 513.316,687.068 513.378,687.068 513.378,674.848 513.45,674.848 513.45,687.068 513.719,687.068 513.719,699.288 514.169,699.288 \n",
       "  514.169,687.068 514.262,687.068 514.262,674.848 514.643,674.848 514.643,662.629 514.777,662.629 514.777,674.848 514.843,674.848 514.843,687.068 514.992,687.068 \n",
       "  514.992,699.288 515.078,699.288 515.078,711.507 515.49,711.507 515.49,723.727 515.891,723.727 515.891,735.947 515.912,735.947 515.912,748.167 515.921,748.167 \n",
       "  515.921,735.947 515.96,735.947 515.96,723.727 516.289,723.727 516.289,735.947 516.837,735.947 516.837,748.167 517.321,748.167 517.321,735.947 517.399,735.947 \n",
       "  517.399,748.167 518.141,748.167 518.141,735.947 518.301,735.947 518.301,748.167 518.82,748.167 518.82,760.386 519.426,760.386 519.426,772.606 519.843,772.606 \n",
       "  519.843,760.386 520.289,760.386 520.289,772.606 520.724,772.606 520.724,760.386 520.754,760.386 520.754,772.606 520.892,772.606 520.892,784.826 520.933,784.826 \n",
       "  520.933,772.606 521.017,772.606 521.017,760.386 521.171,760.386 521.171,772.606 521.39,772.606 521.39,784.826 521.548,784.826 521.548,772.606 521.653,772.606 \n",
       "  521.653,760.386 521.771,760.386 521.771,748.167 521.883,748.167 521.883,735.947 521.89,735.947 521.89,723.727 522.395,723.727 522.395,735.947 522.478,735.947 \n",
       "  522.478,723.727 522.513,723.727 522.513,711.507 522.774,711.507 522.774,699.288 524.191,699.288 524.191,687.068 524.346,687.068 524.346,699.288 524.867,699.288 \n",
       "  524.867,711.507 524.998,711.507 524.998,699.288 526.106,699.288 526.106,711.507 526.27,711.507 526.27,699.288 526.318,699.288 526.318,711.507 527.699,711.507 \n",
       "  527.699,723.727 527.761,723.727 527.761,735.947 527.973,735.947 527.973,723.727 528.433,723.727 528.433,735.947 528.619,735.947 528.619,748.167 528.641,748.167 \n",
       "  528.641,760.386 528.818,760.386 528.818,772.606 529.003,772.606 529.003,784.826 529.041,784.826 529.041,797.045 529.199,797.045 529.199,784.826 531.123,784.826 \n",
       "  531.123,797.045 531.761,797.045 531.761,809.265 531.859,809.265 531.859,821.485 531.902,821.485 531.902,809.265 532.333,809.265 532.333,821.485 532.543,821.485 \n",
       "  532.543,833.705 532.565,833.705 532.565,845.924 532.65,845.924 532.65,833.705 532.748,833.705 532.748,845.924 533.266,845.924 533.266,833.705 533.439,833.705 \n",
       "  533.439,821.485 533.465,821.485 533.465,833.705 533.72,833.705 533.72,845.924 533.902,845.924 533.902,858.144 534.633,858.144 534.633,870.364 535.309,870.364 \n",
       "  535.309,858.144 536.204,858.144 536.204,845.924 536.729,845.924 536.729,858.144 536.969,858.144 536.969,870.364 537.587,870.364 537.587,858.144 537.921,858.144 \n",
       "  537.921,870.364 538.066,870.364 538.066,882.583 538.284,882.583 538.284,894.803 538.721,894.803 538.721,882.583 538.853,882.583 538.853,894.803 539.17,894.803 \n",
       "  539.17,907.023 539.337,907.023 539.337,919.242 539.365,919.242 539.365,931.462 539.886,931.462 539.886,943.682 539.899,943.682 539.899,931.462 540.097,931.462 \n",
       "  540.097,943.682 540.099,943.682 540.099,955.902 540.278,955.902 540.278,968.121 541.43,968.121 541.43,980.341 541.549,980.341 541.549,968.121 542.379,968.121 \n",
       "  542.379,955.902 542.653,955.902 542.653,968.121 543.149,968.121 543.149,980.341 543.308,980.341 543.308,992.561 543.897,992.561 543.897,980.341 544.117,980.341 \n",
       "  544.117,992.561 544.491,992.561 544.491,1004.78 544.492,1004.78 544.492,992.561 544.501,992.561 544.501,980.341 544.946,980.341 544.946,968.121 545.148,968.121 \n",
       "  545.148,980.341 546.136,980.341 546.136,968.121 546.173,968.121 546.173,955.902 546.381,955.902 546.381,968.121 546.895,968.121 546.895,980.341 547.954,980.341 \n",
       "  547.954,992.561 548.11,992.561 548.11,1004.78 548.292,1004.78 548.292,1017 548.801,1017 548.801,1004.78 549.086,1004.78 549.086,1017 549.537,1017 \n",
       "  549.537,1004.78 549.774,1004.78 549.774,992.561 549.825,992.561 549.825,1004.78 549.959,1004.78 549.959,1017 550.629,1017 550.629,1004.78 550.945,1004.78 \n",
       "  550.945,992.561 551.307,992.561 551.307,980.341 551.325,980.341 551.325,992.561 552.157,992.561 552.157,980.341 552.189,980.341 552.189,992.561 552.334,992.561 \n",
       "  552.334,980.341 552.411,980.341 552.411,992.561 554.023,992.561 554.023,1004.78 554.097,1004.78 554.097,1017 554.167,1017 554.167,1004.78 554.36,1004.78 \n",
       "  554.36,992.561 554.576,992.561 554.576,1004.78 554.978,1004.78 554.978,992.561 555.057,992.561 555.057,1004.78 555.613,1004.78 555.613,1017 556.017,1017 \n",
       "  556.017,1004.78 556.071,1004.78 556.071,1017 556.095,1017 556.095,1004.78 556.136,1004.78 556.136,1017 556.434,1017 556.434,1029.22 556.543,1029.22 \n",
       "  556.543,1041.44 556.58,1041.44 556.58,1029.22 556.789,1029.22 556.789,1017 556.814,1017 556.814,1004.78 556.847,1004.78 556.847,1017 557.634,1017 \n",
       "  557.634,1004.78 557.815,1004.78 557.815,1017 557.859,1017 557.859,1029.22 557.95,1029.22 557.95,1017 558.381,1017 558.381,1029.22 558.708,1029.22 \n",
       "  558.708,1041.44 559.707,1041.44 559.707,1029.22 559.965,1029.22 559.965,1041.44 560.31,1041.44 560.31,1029.22 560.523,1029.22 560.523,1041.44 560.986,1041.44 \n",
       "  560.986,1053.66 561.329,1053.66 561.329,1041.44 561.354,1041.44 561.354,1029.22 561.608,1029.22 561.608,1017 562.158,1017 562.158,1004.78 562.26,1004.78 \n",
       "  562.26,992.561 562.423,992.561 562.423,1004.78 562.438,1004.78 562.438,992.561 562.456,992.561 562.456,1004.78 562.51,1004.78 562.51,992.561 563.132,992.561 \n",
       "  563.132,980.341 563.361,980.341 563.361,992.561 564.425,992.561 564.425,1004.78 564.532,1004.78 564.532,992.561 564.708,992.561 564.708,980.341 564.894,980.341 \n",
       "  564.894,968.121 565.131,968.121 565.131,955.902 565.436,955.902 565.436,968.121 566.618,968.121 566.618,955.902 566.68,955.902 566.68,943.682 566.832,943.682 \n",
       "  566.832,955.902 566.943,955.902 566.943,943.682 566.996,943.682 566.996,955.902 567.899,955.902 567.899,943.682 568.174,943.682 568.174,931.462 568.916,931.462 \n",
       "  568.916,919.242 569.241,919.242 569.241,931.462 569.455,931.462 569.455,943.682 570.722,943.682 570.722,931.462 571.01,931.462 571.01,943.682 571.24,943.682 \n",
       "  571.24,955.902 571.605,955.902 571.605,968.121 571.847,968.121 571.847,980.341 571.865,980.341 571.865,968.121 572.231,968.121 572.231,955.902 572.348,955.902 \n",
       "  572.348,968.121 572.67,968.121 572.67,955.902 572.892,955.902 572.892,943.682 572.935,943.682 572.935,931.462 573.344,931.462 573.344,919.242 573.52,919.242 \n",
       "  573.52,931.462 573.686,931.462 573.686,919.242 573.716,919.242 573.716,931.462 573.771,931.462 573.771,919.242 573.967,919.242 573.967,907.023 574.112,907.023 \n",
       "  574.112,894.803 574.934,894.803 574.934,882.583 575.418,882.583 575.418,894.803 575.618,894.803 575.618,882.583 575.766,882.583 575.766,894.803 576.091,894.803 \n",
       "  576.091,882.583 576.131,882.583 576.131,894.803 576.353,894.803 576.353,907.023 576.677,907.023 576.677,919.242 576.766,919.242 576.766,931.462 576.829,931.462 \n",
       "  576.829,919.242 576.854,919.242 576.854,907.023 577.109,907.023 577.109,919.242 577.239,919.242 577.239,907.023 577.249,907.023 577.249,894.803 577.696,894.803 \n",
       "  577.696,907.023 577.734,907.023 577.734,919.242 578.627,919.242 578.627,931.462 578.702,931.462 578.702,919.242 578.733,919.242 578.733,931.462 578.969,931.462 \n",
       "  578.969,919.242 579.062,919.242 579.062,907.023 579.137,907.023 579.137,919.242 579.143,919.242 579.143,907.023 579.202,907.023 579.202,919.242 579.591,919.242 \n",
       "  579.591,931.462 580.133,931.462 580.133,919.242 580.685,919.242 580.685,931.462 581.026,931.462 581.026,943.682 581.761,943.682 581.761,955.902 582.113,955.902 \n",
       "  582.113,968.121 582.147,968.121 582.147,980.341 582.788,980.341 582.788,992.561 582.957,992.561 582.957,1004.78 583.034,1004.78 583.034,992.561 583.281,992.561 \n",
       "  583.281,980.341 583.295,980.341 583.295,992.561 583.828,992.561 583.828,1004.78 583.986,1004.78 583.986,992.561 584.092,992.561 584.092,980.341 584.511,980.341 \n",
       "  584.511,992.561 584.922,992.561 584.922,1004.78 585.844,1004.78 585.844,992.561 586.045,992.561 586.045,1004.78 586.591,1004.78 586.591,992.561 586.819,992.561 \n",
       "  586.819,1004.78 587.308,1004.78 587.308,992.561 587.416,992.561 587.416,1004.78 587.529,1004.78 587.529,1017 587.7,1017 587.7,1004.78 587.917,1004.78 \n",
       "  587.917,1017 587.978,1017 587.978,1029.22 588.308,1029.22 588.308,1041.44 588.449,1041.44 588.449,1053.66 588.711,1053.66 588.711,1065.88 588.803,1065.88 \n",
       "  588.803,1078.1 588.835,1078.1 588.835,1090.32 589.377,1090.32 589.377,1102.54 589.377,1102.54 589.377,1114.76 589.602,1114.76 589.602,1102.54 590.339,1102.54 \n",
       "  590.339,1090.32 590.37,1090.32 590.37,1078.1 590.697,1078.1 590.697,1065.88 590.724,1065.88 590.724,1078.1 590.779,1078.1 590.779,1065.88 591.094,1065.88 \n",
       "  591.094,1078.1 591.166,1078.1 591.166,1090.32 591.522,1090.32 591.522,1078.1 591.951,1078.1 591.951,1065.88 592.146,1065.88 592.146,1078.1 592.366,1078.1 \n",
       "  592.366,1065.88 592.507,1065.88 592.507,1053.66 593.114,1053.66 593.114,1065.88 593.532,1065.88 593.532,1078.1 593.581,1078.1 593.581,1065.88 594.219,1065.88 \n",
       "  594.219,1053.66 594.356,1053.66 594.356,1041.44 594.771,1041.44 594.771,1029.22 594.811,1029.22 594.811,1041.44 595.553,1041.44 595.553,1029.22 595.794,1029.22 \n",
       "  595.794,1041.44 595.913,1041.44 595.913,1029.22 596.179,1029.22 596.179,1017 596.394,1017 596.394,1029.22 596.431,1029.22 596.431,1017 596.604,1017 \n",
       "  596.604,1029.22 596.715,1029.22 596.715,1017 596.86,1017 596.86,1029.22 596.866,1029.22 596.866,1017 597.607,1017 597.607,1004.78 597.954,1004.78 \n",
       "  597.954,992.561 598.113,992.561 598.113,980.341 598.343,980.341 598.343,968.121 598.387,968.121 598.387,955.902 598.683,955.902 598.683,968.121 598.773,968.121 \n",
       "  598.773,980.341 599.004,980.341 599.004,968.121 599.776,968.121 599.776,955.902 599.92,955.902 599.92,943.682 600.002,943.682 600.002,931.462 600.035,931.462 \n",
       "  600.035,943.682 600.155,943.682 600.155,931.462 600.177,931.462 600.177,919.242 600.498,919.242 600.498,907.023 600.694,907.023 600.694,894.803 601.076,894.803 \n",
       "  601.076,907.023 601.361,907.023 601.361,919.242 601.624,919.242 601.624,931.462 601.648,931.462 601.648,919.242 602.809,919.242 602.809,931.462 602.908,931.462 \n",
       "  602.908,919.242 603.495,919.242 603.495,931.462 603.869,931.462 603.869,919.242 604.081,919.242 604.081,931.462 604.107,931.462 604.107,943.682 604.398,943.682 \n",
       "  604.398,931.462 605.474,931.462 605.474,919.242 605.62,919.242 605.62,931.462 605.745,931.462 605.745,919.242 606.174,919.242 606.174,931.462 606.216,931.462 \n",
       "  606.216,919.242 606.795,919.242 606.795,907.023 606.803,907.023 606.803,919.242 606.966,919.242 606.966,907.023 607.173,907.023 607.173,894.803 607.179,894.803 \n",
       "  607.179,907.023 608.015,907.023 608.015,919.242 610.049,919.242 610.049,931.462 610.389,931.462 610.389,919.242 610.497,919.242 610.497,931.462 610.818,931.462 \n",
       "  610.818,943.682 611.291,943.682 611.291,955.902 611.696,955.902 611.696,943.682 612.223,943.682 612.223,955.902 612.448,955.902 612.448,968.121 612.63,968.121 \n",
       "  612.63,980.341 612.642,980.341 612.642,968.121 613.116,968.121 613.116,955.902 613.436,955.902 613.436,968.121 613.489,968.121 613.489,955.902 613.518,955.902 \n",
       "  613.518,943.682 613.65,943.682 613.65,931.462 613.897,931.462 613.897,919.242 614.069,919.242 614.069,931.462 614.252,931.462 614.252,943.682 614.515,943.682 \n",
       "  614.515,931.462 614.528,931.462 614.528,943.682 614.78,943.682 614.78,955.902 614.841,955.902 614.841,968.121 615.214,968.121 615.214,955.902 615.383,955.902 \n",
       "  615.383,968.121 617.821,968.121 617.821,955.902 617.854,955.902 617.854,968.121 618.593,968.121 618.593,955.902 618.685,955.902 618.685,968.121 619.011,968.121 \n",
       "  619.011,955.902 619.211,955.902 619.211,943.682 619.481,943.682 619.481,931.462 619.653,931.462 619.653,943.682 619.674,943.682 619.674,955.902 620.267,955.902 \n",
       "  620.267,968.121 620.834,968.121 620.834,980.341 621.186,980.341 621.186,992.561 621.575,992.561 621.575,980.341 622.86,980.341 622.86,992.561 623.359,992.561 \n",
       "  623.359,1004.78 623.46,1004.78 623.46,1017 623.571,1017 623.571,1029.22 623.627,1029.22 623.627,1041.44 623.709,1041.44 623.709,1029.22 623.882,1029.22 \n",
       "  623.882,1041.44 624.145,1041.44 624.145,1053.66 624.416,1053.66 624.416,1065.88 625.17,1065.88 625.17,1053.66 625.179,1053.66 625.179,1041.44 625.817,1041.44 \n",
       "  625.817,1029.22 626.326,1029.22 626.326,1017 626.772,1017 626.772,1029.22 626.799,1029.22 626.799,1017 626.916,1017 626.916,1029.22 627.329,1029.22 \n",
       "  627.329,1041.44 627.858,1041.44 627.858,1029.22 628.583,1029.22 628.583,1041.44 628.693,1041.44 628.693,1053.66 628.743,1053.66 628.743,1041.44 629.211,1041.44 \n",
       "  629.211,1053.66 629.801,1053.66 629.801,1041.44 630.086,1041.44 630.086,1029.22 631.231,1029.22 631.231,1041.44 631.251,1041.44 631.251,1029.22 631.273,1029.22 \n",
       "  631.273,1041.44 631.796,1041.44 631.796,1053.66 632.148,1053.66 632.148,1065.88 632.748,1065.88 632.748,1053.66 632.993,1053.66 632.993,1065.88 633.302,1065.88 \n",
       "  633.302,1053.66 633.461,1053.66 633.461,1041.44 633.652,1041.44 633.652,1029.22 634.561,1029.22 634.561,1041.44 634.875,1041.44 634.875,1053.66 635.099,1053.66 \n",
       "  635.099,1041.44 635.151,1041.44 635.151,1053.66 635.176,1053.66 635.176,1065.88 635.35,1065.88 635.35,1053.66 635.397,1053.66 635.397,1065.88 635.981,1065.88 \n",
       "  635.981,1053.66 636.295,1053.66 636.295,1065.88 637.284,1065.88 637.284,1078.1 637.565,1078.1 637.565,1065.88 637.82,1065.88 637.82,1053.66 638.387,1053.66 \n",
       "  638.387,1065.88 638.416,1065.88 638.416,1053.66 638.759,1053.66 638.759,1065.88 638.803,1065.88 638.803,1053.66 639.038,1053.66 639.038,1041.44 639.253,1041.44 \n",
       "  639.253,1029.22 639.352,1029.22 639.352,1017 639.775,1017 639.775,1029.22 640.126,1029.22 640.126,1017 640.493,1017 640.493,1004.78 640.557,1004.78 \n",
       "  640.557,1017 640.626,1017 640.626,1004.78 640.782,1004.78 640.782,1017 640.817,1017 640.817,1004.78 640.978,1004.78 640.978,1017 641.107,1017 \n",
       "  641.107,1004.78 641.3,1004.78 641.3,1017 641.611,1017 641.611,1029.22 642,1029.22 642,1041.44 642.66,1041.44 642.66,1029.22 642.72,1029.22 \n",
       "  642.72,1041.44 642.888,1041.44 642.888,1053.66 643.193,1053.66 643.193,1065.88 643.257,1065.88 643.257,1078.1 643.701,1078.1 643.701,1090.32 644.023,1090.32 \n",
       "  644.023,1078.1 644.626,1078.1 644.626,1090.32 645.988,1090.32 645.988,1102.54 645.998,1102.54 645.998,1090.32 646.22,1090.32 646.22,1102.54 646.267,1102.54 \n",
       "  646.267,1114.76 646.454,1114.76 646.454,1102.54 646.921,1102.54 646.921,1090.32 646.947,1090.32 646.947,1102.54 647.239,1102.54 647.239,1090.32 647.751,1090.32 \n",
       "  647.751,1102.54 648.929,1102.54 648.929,1114.76 649.022,1114.76 649.022,1126.98 649.808,1126.98 649.808,1139.2 649.818,1139.2 649.818,1126.98 651.168,1126.98 \n",
       "  651.168,1114.76 651.285,1114.76 651.285,1102.54 651.359,1102.54 651.359,1114.76 651.419,1114.76 651.419,1102.54 651.47,1102.54 651.47,1114.76 651.518,1114.76 \n",
       "  651.518,1102.54 651.75,1102.54 651.75,1114.76 651.975,1114.76 651.975,1102.54 652.623,1102.54 652.623,1090.32 653.346,1090.32 653.346,1102.54 653.655,1102.54 \n",
       "  653.655,1114.76 654.082,1114.76 654.082,1102.54 654.28,1102.54 654.28,1114.76 654.325,1114.76 654.325,1102.54 654.453,1102.54 654.453,1090.32 654.593,1090.32 \n",
       "  654.593,1102.54 654.697,1102.54 654.697,1090.32 654.73,1090.32 654.73,1078.1 654.75,1078.1 654.75,1090.32 655.048,1090.32 655.048,1102.54 655.089,1102.54 \n",
       "  655.089,1090.32 655.343,1090.32 655.343,1102.54 655.356,1102.54 655.356,1114.76 655.94,1114.76 655.94,1102.54 656.345,1102.54 656.345,1114.76 657.65,1114.76 \n",
       "  657.65,1126.98 658.406,1126.98 658.406,1139.2 659.269,1139.2 659.269,1126.98 659.846,1126.98 659.846,1139.2 659.879,1139.2 659.879,1126.98 660.158,1126.98 \n",
       "  660.158,1114.76 660.232,1114.76 660.232,1126.98 660.559,1126.98 660.559,1139.2 660.595,1139.2 660.595,1126.98 661.148,1126.98 661.148,1114.76 661.179,1114.76 \n",
       "  661.179,1126.98 661.267,1126.98 661.267,1139.2 661.707,1139.2 661.707,1126.98 661.754,1126.98 661.754,1139.2 661.775,1139.2 661.775,1126.98 662.614,1126.98 \n",
       "  662.614,1114.76 662.845,1114.76 662.845,1102.54 663.228,1102.54 663.228,1114.76 663.359,1114.76 663.359,1126.98 663.678,1126.98 663.678,1114.76 664.497,1114.76 \n",
       "  664.497,1102.54 664.802,1102.54 664.802,1114.76 664.989,1114.76 664.989,1126.98 665.888,1126.98 665.888,1114.76 665.896,1114.76 665.896,1126.98 666.1,1126.98 \n",
       "  666.1,1139.2 666.105,1139.2 666.105,1151.42 666.119,1151.42 666.119,1163.64 666.595,1163.64 666.595,1175.86 666.71,1175.86 666.71,1188.08 667.263,1188.08 \n",
       "  667.263,1200.3 667.375,1200.3 667.375,1188.08 667.902,1188.08 667.902,1175.86 668.003,1175.86 668.003,1188.08 668.146,1188.08 668.146,1175.86 668.494,1175.86 \n",
       "  668.494,1163.64 668.692,1163.64 668.692,1175.86 668.773,1175.86 668.773,1188.08 668.898,1188.08 668.898,1200.3 669.362,1200.3 669.362,1188.08 669.516,1188.08 \n",
       "  669.516,1175.86 669.7,1175.86 669.7,1163.64 669.866,1163.64 669.866,1175.86 669.939,1175.86 669.939,1188.08 670.142,1188.08 670.142,1175.86 670.691,1175.86 \n",
       "  670.691,1163.64 671.043,1163.64 671.043,1175.86 671.128,1175.86 671.128,1188.08 671.236,1188.08 671.236,1200.3 671.466,1200.3 671.466,1212.52 671.492,1212.52 \n",
       "  671.492,1224.74 671.596,1224.74 671.596,1236.95 671.917,1236.95 671.917,1224.74 671.93,1224.74 671.93,1236.95 672.179,1236.95 672.179,1249.17 672.32,1249.17 \n",
       "  672.32,1236.95 672.707,1236.95 672.707,1224.74 673.049,1224.74 673.049,1212.52 674.498,1212.52 674.498,1224.74 675.701,1224.74 675.701,1212.52 676.007,1212.52 \n",
       "  676.007,1200.3 676.152,1200.3 676.152,1212.52 676.471,1212.52 676.471,1224.74 676.835,1224.74 676.835,1212.52 677.308,1212.52 677.308,1224.74 677.47,1224.74 \n",
       "  677.47,1236.95 677.479,1236.95 677.479,1249.17 677.552,1249.17 677.552,1261.39 677.642,1261.39 677.642,1273.61 677.761,1273.61 677.761,1261.39 677.767,1261.39 \n",
       "  677.767,1273.61 677.956,1273.61 677.956,1261.39 678.171,1261.39 678.171,1273.61 678.211,1273.61 678.211,1261.39 678.296,1261.39 678.296,1249.17 679.17,1249.17 \n",
       "  679.17,1236.95 679.547,1236.95 679.547,1249.17 679.826,1249.17 679.826,1236.95 679.89,1236.95 679.89,1249.17 679.931,1249.17 679.931,1236.95 680.251,1236.95 \n",
       "  680.251,1224.74 680.506,1224.74 680.506,1212.52 680.508,1212.52 680.508,1200.3 680.7,1200.3 680.7,1212.52 680.904,1212.52 680.904,1200.3 681.432,1200.3 \n",
       "  681.432,1212.52 681.846,1212.52 681.846,1200.3 682.067,1200.3 682.067,1212.52 683.223,1212.52 683.223,1224.74 683.559,1224.74 683.559,1212.52 683.779,1212.52 \n",
       "  683.779,1200.3 683.956,1200.3 683.956,1188.08 684.063,1188.08 684.063,1175.86 684.373,1175.86 684.373,1188.08 684.391,1188.08 684.391,1200.3 684.446,1200.3 \n",
       "  684.446,1188.08 684.588,1188.08 684.588,1200.3 684.647,1200.3 684.647,1212.52 684.819,1212.52 684.819,1200.3 685.189,1200.3 685.189,1212.52 685.406,1212.52 \n",
       "  685.406,1224.74 685.436,1224.74 685.436,1236.95 685.436,1236.95 685.436,1249.17 685.625,1249.17 685.625,1236.95 685.706,1236.95 685.706,1224.74 686.023,1224.74 \n",
       "  686.023,1236.95 686.074,1236.95 686.074,1224.74 686.318,1224.74 686.318,1212.52 686.592,1212.52 686.592,1224.74 687.564,1224.74 687.564,1236.95 688.195,1236.95 \n",
       "  688.195,1224.74 688.385,1224.74 688.385,1212.52 689.338,1212.52 689.338,1224.74 689.753,1224.74 689.753,1236.95 689.855,1236.95 689.855,1224.74 690.43,1224.74 \n",
       "  690.43,1212.52 690.7,1212.52 690.7,1224.74 690.823,1224.74 690.823,1212.52 690.83,1212.52 690.83,1224.74 690.988,1224.74 690.988,1212.52 693.005,1212.52 \n",
       "  693.005,1200.3 693.228,1200.3 693.228,1188.08 694.732,1188.08 694.732,1200.3 695.31,1200.3 695.31,1212.52 696.297,1212.52 696.297,1224.74 696.636,1224.74 \n",
       "  696.636,1236.95 696.761,1236.95 696.761,1224.74 696.785,1224.74 696.785,1212.52 696.872,1212.52 696.872,1200.3 697.203,1200.3 697.203,1212.52 697.256,1212.52 \n",
       "  697.256,1224.74 697.855,1224.74 697.855,1236.95 697.894,1236.95 697.894,1249.17 697.957,1249.17 697.957,1261.39 698.893,1261.39 698.893,1273.61 699.376,1273.61 \n",
       "  699.376,1261.39 700.096,1261.39 700.096,1273.61 700.305,1273.61 700.305,1261.39 700.437,1261.39 700.437,1249.17 700.469,1249.17 700.469,1236.95 700.576,1236.95 \n",
       "  700.576,1249.17 701.067,1249.17 701.067,1236.95 701.397,1236.95 701.397,1224.74 701.429,1224.74 701.429,1236.95 701.736,1236.95 701.736,1224.74 702.956,1224.74 \n",
       "  702.956,1236.95 703.537,1236.95 703.537,1224.74 704.463,1224.74 704.463,1212.52 704.474,1212.52 704.474,1224.74 704.68,1224.74 704.68,1236.95 704.836,1236.95 \n",
       "  704.836,1249.17 704.978,1249.17 704.978,1236.95 705.303,1236.95 705.303,1249.17 705.501,1249.17 705.501,1236.95 705.83,1236.95 705.83,1249.17 705.885,1249.17 \n",
       "  705.885,1261.39 706.731,1261.39 706.731,1273.61 706.905,1273.61 706.905,1285.83 707.107,1285.83 707.107,1298.05 707.293,1298.05 707.293,1310.27 708.689,1310.27 \n",
       "  708.689,1322.49 709.132,1322.49 709.132,1334.71 709.907,1334.71 709.907,1346.93 710.315,1346.93 710.315,1334.71 710.355,1334.71 710.355,1346.93 710.568,1346.93 \n",
       "  710.568,1359.15 711.138,1359.15 711.138,1371.37 711.548,1371.37 711.548,1383.59 711.675,1383.59 711.675,1395.81 712.383,1395.81 712.383,1408.03 712.476,1408.03 \n",
       "  712.476,1395.81 712.555,1395.81 712.555,1383.59 712.8,1383.59 712.8,1371.37 712.868,1371.37 712.868,1383.59 713.355,1383.59 713.355,1395.81 713.831,1395.81 \n",
       "  713.831,1383.59 714.046,1383.59 714.046,1371.37 714.079,1371.37 714.079,1383.59 714.472,1383.59 714.472,1395.81 715.274,1395.81 715.274,1408.03 715.345,1408.03 \n",
       "  715.345,1395.81 715.451,1395.81 715.451,1383.59 716.372,1383.59 716.372,1371.37 716.752,1371.37 716.752,1359.15 716.894,1359.15 716.894,1346.93 717.068,1346.93 \n",
       "  717.068,1359.15 718.097,1359.15 718.097,1346.93 718.236,1346.93 718.236,1334.71 718.845,1334.71 718.845,1346.93 718.96,1346.93 718.96,1334.71 719.84,1334.71 \n",
       "  719.84,1322.49 720.966,1322.49 720.966,1310.27 721.085,1310.27 721.085,1322.49 721.307,1322.49 721.307,1334.71 721.455,1334.71 721.455,1322.49 721.601,1322.49 \n",
       "  721.601,1334.71 721.648,1334.71 721.648,1346.93 721.842,1346.93 721.842,1334.71 722.24,1334.71 722.24,1322.49 722.806,1322.49 722.806,1310.27 722.944,1310.27 \n",
       "  722.944,1322.49 723.042,1322.49 723.042,1334.71 723.156,1334.71 723.156,1322.49 723.65,1322.49 723.65,1310.27 723.77,1310.27 723.77,1322.49 723.882,1322.49 \n",
       "  723.882,1334.71 724.321,1334.71 724.321,1346.93 724.415,1346.93 724.415,1359.15 724.469,1359.15 724.469,1371.37 724.915,1371.37 724.915,1359.15 725.142,1359.15 \n",
       "  725.142,1371.37 725.142,1371.37 725.142,1359.15 725.378,1359.15 725.378,1371.37 725.577,1371.37 725.577,1359.15 725.73,1359.15 725.73,1346.93 726.283,1346.93 \n",
       "  726.283,1334.71 726.822,1334.71 726.822,1346.93 727.122,1346.93 727.122,1359.15 727.312,1359.15 727.312,1346.93 727.364,1346.93 727.364,1359.15 727.71,1359.15 \n",
       "  727.71,1371.37 727.782,1371.37 727.782,1359.15 728.083,1359.15 728.083,1346.93 728.42,1346.93 728.42,1359.15 729.027,1359.15 729.027,1371.37 729.109,1371.37 \n",
       "  729.109,1359.15 729.606,1359.15 729.606,1346.93 729.743,1346.93 729.743,1359.15 730.68,1359.15 730.68,1371.37 730.999,1371.37 730.999,1359.15 731.066,1359.15 \n",
       "  731.066,1346.93 731.146,1346.93 731.146,1359.15 731.183,1359.15 731.183,1346.93 731.534,1346.93 731.534,1334.71 731.854,1334.71 731.854,1346.93 731.944,1346.93 \n",
       "  731.944,1359.15 732.544,1359.15 732.544,1371.37 732.64,1371.37 732.64,1359.15 733.852,1359.15 733.852,1346.93 733.897,1346.93 733.897,1359.15 733.975,1359.15 \n",
       "  733.975,1371.37 734.217,1371.37 734.217,1383.59 734.524,1383.59 734.524,1395.81 734.642,1395.81 734.642,1383.59 734.797,1383.59 734.797,1371.37 734.956,1371.37 \n",
       "  734.956,1359.15 735.118,1359.15 735.118,1371.37 735.661,1371.37 735.661,1383.59 736.66,1383.59 736.66,1395.81 737.102,1395.81 737.102,1408.03 737.227,1408.03 \n",
       "  737.227,1420.25 737.342,1420.25 737.342,1408.03 737.474,1408.03 737.474,1395.81 737.54,1395.81 737.54,1408.03 737.59,1408.03 737.59,1420.25 737.674,1420.25 \n",
       "  737.674,1408.03 737.853,1408.03 737.853,1395.81 737.92,1395.81 737.92,1408.03 738.318,1408.03 738.318,1420.25 738.626,1420.25 738.626,1432.47 738.896,1432.47 \n",
       "  738.896,1444.69 739.03,1444.69 739.03,1432.47 739.47,1432.47 739.47,1444.69 739.621,1444.69 739.621,1432.47 739.914,1432.47 739.914,1420.25 740.156,1420.25 \n",
       "  740.156,1408.03 740.611,1408.03 740.611,1420.25 740.917,1420.25 740.917,1432.47 741.092,1432.47 741.092,1444.69 741.622,1444.69 741.622,1456.91 742.308,1456.91 \n",
       "  742.308,1444.69 742.707,1444.69 742.707,1456.91 742.989,1456.91 742.989,1444.69 743.384,1444.69 743.384,1432.47 744.022,1432.47 744.022,1444.69 744.342,1444.69 \n",
       "  744.342,1432.47 744.414,1432.47 744.414,1420.25 744.651,1420.25 744.651,1432.47 744.897,1432.47 744.897,1444.69 745.117,1444.69 745.117,1432.47 745.148,1432.47 \n",
       "  745.148,1420.25 745.233,1420.25 745.233,1432.47 745.334,1432.47 745.334,1420.25 745.634,1420.25 745.634,1408.03 747.378,1408.03 747.378,1395.81 747.706,1395.81 \n",
       "  747.706,1383.59 748.37,1383.59 748.37,1371.37 748.493,1371.37 748.493,1359.15 748.907,1359.15 748.907,1346.93 749.864,1346.93 749.864,1334.71 750.421,1334.71 \n",
       "  750.421,1346.93 750.821,1346.93 750.821,1334.71 750.89,1334.71 750.89,1346.93 751.011,1346.93 751.011,1334.71 751.033,1334.71 751.033,1346.93 751.397,1346.93 \n",
       "  751.397,1359.15 751.433,1359.15 751.433,1371.37 751.565,1371.37 751.565,1359.15 752.054,1359.15 752.054,1346.93 752.057,1346.93 752.057,1359.15 752.115,1359.15 \n",
       "  752.115,1371.37 752.443,1371.37 752.443,1359.15 752.48,1359.15 752.48,1346.93 752.509,1346.93 752.509,1359.15 752.829,1359.15 752.829,1346.93 752.988,1346.93 \n",
       "  752.988,1334.71 753.591,1334.71 753.591,1322.49 753.606,1322.49 753.606,1310.27 753.645,1310.27 753.645,1322.49 754.159,1322.49 754.159,1334.71 754.501,1334.71 \n",
       "  754.501,1346.93 755.463,1346.93 755.463,1359.15 755.566,1359.15 755.566,1346.93 755.635,1346.93 755.635,1359.15 755.803,1359.15 755.803,1371.37 756.336,1371.37 \n",
       "  756.336,1359.15 756.962,1359.15 756.962,1371.37 756.974,1371.37 756.974,1383.59 756.976,1383.59 756.976,1395.81 757.062,1395.81 757.062,1383.59 757.295,1383.59 \n",
       "  757.295,1395.81 757.439,1395.81 757.439,1408.03 758.157,1408.03 758.157,1420.25 758.193,1420.25 758.193,1408.03 758.429,1408.03 758.429,1420.25 758.773,1420.25 \n",
       "  758.773,1408.03 759.366,1408.03 759.366,1395.81 759.525,1395.81 759.525,1408.03 759.612,1408.03 759.612,1395.81 759.632,1395.81 759.632,1383.59 759.679,1383.59 \n",
       "  759.679,1371.37 760.033,1371.37 760.033,1383.59 760.046,1383.59 760.046,1371.37 761.434,1371.37 761.434,1383.59 761.496,1383.59 761.496,1395.81 761.726,1395.81 \n",
       "  761.726,1383.59 761.759,1383.59 761.759,1395.81 761.79,1395.81 761.79,1408.03 761.958,1408.03 761.958,1420.25 762.027,1420.25 762.027,1432.47 762.86,1432.47 \n",
       "  762.86,1420.25 762.95,1420.25 762.95,1432.47 763.254,1432.47 763.254,1420.25 763.338,1420.25 763.338,1408.03 764.025,1408.03 764.025,1395.81 764.266,1395.81 \n",
       "  764.266,1383.59 764.422,1383.59 764.422,1371.37 764.57,1371.37 764.57,1383.59 764.579,1383.59 764.579,1371.37 764.875,1371.37 764.875,1383.59 765.2,1383.59 \n",
       "  765.2,1395.81 765.387,1395.81 765.387,1383.59 766.115,1383.59 766.115,1371.37 766.401,1371.37 766.401,1383.59 766.563,1383.59 766.563,1371.37 766.911,1371.37 \n",
       "  766.911,1383.59 767.703,1383.59 767.703,1395.81 767.789,1395.81 767.789,1383.59 767.944,1383.59 767.944,1395.81 768.67,1395.81 768.67,1408.03 768.751,1408.03 \n",
       "  768.751,1420.25 768.86,1420.25 768.86,1408.03 769.028,1408.03 769.028,1395.81 769.046,1395.81 769.046,1383.59 769.594,1383.59 769.594,1395.81 769.814,1395.81 \n",
       "  769.814,1383.59 770.746,1383.59 770.746,1395.81 771.16,1395.81 771.16,1383.59 771.346,1383.59 771.346,1395.81 771.396,1395.81 771.396,1408.03 771.398,1408.03 \n",
       "  771.398,1420.25 771.572,1420.25 771.572,1432.47 772.187,1432.47 772.187,1444.69 772.242,1444.69 772.242,1456.91 772.508,1456.91 772.508,1444.69 772.539,1444.69 \n",
       "  772.539,1456.91 772.712,1456.91 772.712,1444.69 773.211,1444.69 773.211,1432.47 773.649,1432.47 773.649,1420.25 773.739,1420.25 773.739,1432.47 773.822,1432.47 \n",
       "  773.822,1444.69 774.204,1444.69 774.204,1456.91 776.992,1456.91 776.992,1444.69 777.377,1444.69 777.377,1456.91 778.402,1456.91 778.402,1444.69 778.477,1444.69 \n",
       "  778.477,1456.91 779.71,1456.91 779.71,1444.69 779.74,1444.69 779.74,1432.47 780.069,1432.47 780.069,1444.69 780.587,1444.69 780.587,1456.91 780.698,1456.91 \n",
       "  780.698,1444.69 781.165,1444.69 781.165,1456.91 781.268,1456.91 781.268,1444.69 781.322,1444.69 781.322,1456.91 781.331,1456.91 781.331,1444.69 781.404,1444.69 \n",
       "  781.404,1432.47 781.439,1432.47 781.439,1444.69 781.959,1444.69 781.959,1456.91 783.172,1456.91 783.172,1444.69 783.679,1444.69 783.679,1432.47 783.821,1432.47 \n",
       "  783.821,1420.25 783.894,1420.25 783.894,1408.03 783.895,1408.03 783.895,1395.81 784.269,1395.81 784.269,1383.59 784.351,1383.59 784.351,1395.81 784.404,1395.81 \n",
       "  784.404,1408.03 784.623,1408.03 784.623,1395.81 785.291,1395.81 785.291,1383.59 786.542,1383.59 786.542,1371.37 786.652,1371.37 786.652,1383.59 786.685,1383.59 \n",
       "  786.685,1395.81 787.86,1395.81 787.86,1408.03 788.249,1408.03 788.249,1395.81 788.266,1395.81 788.266,1408.03 789.162,1408.03 789.162,1420.25 789.196,1420.25 \n",
       "  789.196,1432.47 789.344,1432.47 789.344,1444.69 789.395,1444.69 789.395,1456.91 790.043,1456.91 790.043,1444.69 790.263,1444.69 790.263,1432.47 790.475,1432.47 \n",
       "  790.475,1420.25 790.507,1420.25 790.507,1432.47 791.498,1432.47 791.498,1444.69 792.32,1444.69 792.32,1456.91 793.616,1456.91 793.616,1444.69 794.377,1444.69 \n",
       "  794.377,1456.91 795.785,1456.91 795.785,1444.69 796.455,1444.69 796.455,1432.47 797.764,1432.47 797.764,1420.25 797.899,1420.25 797.899,1432.47 797.979,1432.47 \n",
       "  797.979,1444.69 798.366,1444.69 798.366,1456.91 798.583,1456.91 798.583,1444.69 798.585,1444.69 798.585,1432.47 798.872,1432.47 798.872,1444.69 799.565,1444.69 \n",
       "  799.565,1456.91 800.333,1456.91 800.333,1444.69 800.484,1444.69 800.484,1456.91 800.578,1456.91 800.578,1444.69 800.578,1444.69 800.578,1456.91 800.921,1456.91 \n",
       "  800.921,1444.69 801.01,1444.69 801.01,1432.47 801.78,1432.47 801.78,1444.69 802.939,1444.69 802.939,1456.91 803.245,1456.91 803.245,1444.69 803.443,1444.69 \n",
       "  803.443,1456.91 803.492,1456.91 803.492,1444.69 804.6,1444.69 804.6,1456.91 805.085,1456.91 805.085,1444.69 805.601,1444.69 805.601,1456.91 805.633,1456.91 \n",
       "  805.633,1444.69 805.822,1444.69 805.822,1432.47 806.117,1432.47 806.117,1420.25 806.27,1420.25 806.27,1408.03 806.359,1408.03 806.359,1420.25 806.597,1420.25 \n",
       "  806.597,1408.03 806.628,1408.03 806.628,1395.81 807.024,1395.81 807.024,1383.59 807.304,1383.59 807.304,1395.81 807.462,1395.81 807.462,1408.03 808.112,1408.03 \n",
       "  808.112,1395.81 808.245,1395.81 808.245,1383.59 808.273,1383.59 808.273,1395.81 808.964,1395.81 808.964,1383.59 809.339,1383.59 809.339,1371.37 809.478,1371.37 \n",
       "  809.478,1383.59 809.721,1383.59 809.721,1395.81 809.982,1395.81 809.982,1383.59 810.442,1383.59 810.442,1395.81 810.713,1395.81 810.713,1408.03 811.485,1408.03 \n",
       "  811.485,1395.81 811.803,1395.81 811.803,1383.59 812.307,1383.59 812.307,1395.81 812.721,1395.81 812.721,1383.59 812.8,1383.59 812.8,1395.81 812.883,1395.81 \n",
       "  812.883,1383.59 812.931,1383.59 812.931,1395.81 812.934,1395.81 812.934,1408.03 812.995,1408.03 812.995,1395.81 814.409,1395.81 814.409,1408.03 814.517,1408.03 \n",
       "  814.517,1420.25 815.269,1420.25 815.269,1432.47 815.321,1432.47 815.321,1444.69 815.975,1444.69 815.975,1432.47 816.096,1432.47 816.096,1444.69 816.632,1444.69 \n",
       "  816.632,1432.47 816.721,1432.47 816.721,1444.69 816.932,1444.69 816.932,1432.47 817.253,1432.47 817.253,1420.25 817.518,1420.25 817.518,1408.03 817.667,1408.03 \n",
       "  817.667,1420.25 817.671,1420.25 817.671,1432.47 818.016,1432.47 818.016,1420.25 818.062,1420.25 818.062,1408.03 818.444,1408.03 818.444,1420.25 818.586,1420.25 \n",
       "  818.586,1408.03 818.708,1408.03 818.708,1420.25 819.127,1420.25 819.127,1432.47 819.767,1432.47 819.767,1444.69 819.802,1444.69 819.802,1456.91 820.509,1456.91 \n",
       "  820.509,1444.69 820.912,1444.69 820.912,1432.47 821.129,1432.47 821.129,1444.69 821.404,1444.69 821.404,1432.47 821.516,1432.47 821.516,1444.69 821.759,1444.69 \n",
       "  821.759,1456.91 821.872,1456.91 821.872,1444.69 821.941,1444.69 821.941,1456.91 822.992,1456.91 822.992,1444.69 823.411,1444.69 823.411,1432.47 823.613,1432.47 \n",
       "  823.613,1444.69 824.209,1444.69 824.209,1432.47 824.499,1432.47 824.499,1420.25 825.557,1420.25 825.557,1408.03 826.26,1408.03 826.26,1420.25 826.784,1420.25 \n",
       "  826.784,1432.47 827.162,1432.47 827.162,1444.69 827.234,1444.69 827.234,1456.91 827.443,1456.91 827.443,1444.69 829.321,1444.69 829.321,1432.47 829.416,1432.47 \n",
       "  829.416,1444.69 829.763,1444.69 829.763,1432.47 830.048,1432.47 830.048,1444.69 832.311,1444.69 832.311,1432.47 832.425,1432.47 832.425,1420.25 832.871,1420.25 \n",
       "  832.871,1408.03 833.068,1408.03 833.068,1395.81 833.404,1395.81 833.404,1383.59 834.664,1383.59 834.664,1395.81 835.181,1395.81 835.181,1383.59 835.308,1383.59 \n",
       "  835.308,1395.81 835.471,1395.81 835.471,1408.03 835.843,1408.03 835.843,1420.25 836.358,1420.25 836.358,1432.47 836.444,1432.47 836.444,1444.69 836.463,1444.69 \n",
       "  836.463,1432.47 836.595,1432.47 836.595,1420.25 837.456,1420.25 837.456,1432.47 838.04,1432.47 838.04,1420.25 838.827,1420.25 838.827,1408.03 839.042,1408.03 \n",
       "  839.042,1395.81 839.275,1395.81 839.275,1408.03 839.6,1408.03 839.6,1395.81 839.829,1395.81 839.829,1408.03 840.064,1408.03 840.064,1395.81 841.072,1395.81 \n",
       "  841.072,1383.59 841.375,1383.59 841.375,1395.81 841.612,1395.81 841.612,1408.03 842.117,1408.03 842.117,1420.25 842.71,1420.25 842.71,1432.47 842.759,1432.47 \n",
       "  842.759,1420.25 843.029,1420.25 843.029,1432.47 843.436,1432.47 843.436,1444.69 843.921,1444.69 843.921,1432.47 844.173,1432.47 844.173,1420.25 844.388,1420.25 \n",
       "  844.388,1408.03 844.623,1408.03 844.623,1395.81 844.852,1395.81 844.852,1408.03 845.138,1408.03 845.138,1420.25 845.154,1420.25 845.154,1408.03 845.634,1408.03 \n",
       "  845.634,1420.25 845.834,1420.25 845.834,1432.47 846.001,1432.47 846.001,1420.25 846.154,1420.25 846.154,1408.03 846.365,1408.03 846.365,1395.81 846.743,1395.81 \n",
       "  846.743,1383.59 847.492,1383.59 847.492,1371.37 847.506,1371.37 847.506,1359.15 848.101,1359.15 848.101,1346.93 848.522,1346.93 848.522,1334.71 848.758,1334.71 \n",
       "  848.758,1346.93 848.783,1346.93 848.783,1334.71 848.847,1334.71 848.847,1322.49 849.41,1322.49 849.41,1334.71 849.44,1334.71 849.44,1346.93 850.154,1346.93 \n",
       "  850.154,1359.15 850.191,1359.15 850.191,1371.37 850.194,1371.37 850.194,1359.15 850.249,1359.15 850.249,1346.93 850.759,1346.93 850.759,1334.71 851.31,1334.71 \n",
       "  851.31,1322.49 851.447,1322.49 851.447,1334.71 852.468,1334.71 852.468,1322.49 852.835,1322.49 852.835,1310.27 853.331,1310.27 853.331,1322.49 853.859,1322.49 \n",
       "  853.859,1334.71 854.349,1334.71 854.349,1346.93 855.057,1346.93 855.057,1359.15 855.478,1359.15 855.478,1346.93 856.309,1346.93 856.309,1359.15 856.324,1359.15 \n",
       "  856.324,1371.37 857.49,1371.37 857.49,1383.59 858.435,1383.59 858.435,1371.37 858.852,1371.37 858.852,1359.15 858.904,1359.15 858.904,1371.37 859.673,1371.37 \n",
       "  859.673,1383.59 859.902,1383.59 859.902,1395.81 860.033,1395.81 860.033,1408.03 860.374,1408.03 860.374,1420.25 860.621,1420.25 860.621,1432.47 861.152,1432.47 \n",
       "  861.152,1444.69 861.195,1444.69 861.195,1432.47 861.574,1432.47 861.574,1444.69 863.137,1444.69 863.137,1432.47 863.314,1432.47 863.314,1420.25 863.707,1420.25 \n",
       "  863.707,1432.47 863.91,1432.47 863.91,1444.69 863.939,1444.69 863.939,1456.91 864.753,1456.91 864.753,1444.69 864.776,1444.69 864.776,1432.47 865.111,1432.47 \n",
       "  865.111,1420.25 865.279,1420.25 865.279,1408.03 866.136,1408.03 866.136,1395.81 866.693,1395.81 866.693,1383.59 866.961,1383.59 866.961,1395.81 867.4,1395.81 \n",
       "  867.4,1383.59 867.432,1383.59 867.432,1371.37 867.5,1371.37 867.5,1359.15 867.635,1359.15 867.635,1371.37 867.791,1371.37 867.791,1383.59 868.711,1383.59 \n",
       "  868.711,1371.37 869.434,1371.37 869.434,1383.59 869.815,1383.59 869.815,1371.37 869.913,1371.37 869.913,1383.59 869.93,1383.59 869.93,1371.37 870.077,1371.37 \n",
       "  870.077,1359.15 870.302,1359.15 870.302,1371.37 870.824,1371.37 870.824,1383.59 870.945,1383.59 870.945,1371.37 871.095,1371.37 871.095,1383.59 871.478,1383.59 \n",
       "  871.478,1395.81 871.763,1395.81 871.763,1408.03 871.871,1408.03 871.871,1420.25 872.07,1420.25 872.07,1408.03 872.647,1408.03 872.647,1420.25 872.893,1420.25 \n",
       "  872.893,1408.03 873.044,1408.03 873.044,1395.81 873.322,1395.81 873.322,1408.03 873.964,1408.03 873.964,1395.81 874.007,1395.81 874.007,1408.03 874.191,1408.03 \n",
       "  874.191,1420.25 874.642,1420.25 874.642,1432.47 874.665,1432.47 874.665,1420.25 876.455,1420.25 876.455,1408.03 876.505,1408.03 876.505,1395.81 876.784,1395.81 \n",
       "  876.784,1408.03 876.935,1408.03 876.935,1420.25 877.138,1420.25 877.138,1432.47 877.673,1432.47 877.673,1420.25 878.357,1420.25 878.357,1408.03 878.437,1408.03 \n",
       "  878.437,1420.25 878.947,1420.25 878.947,1432.47 879.349,1432.47 879.349,1420.25 879.772,1420.25 879.772,1408.03 880.763,1408.03 880.763,1420.25 881.589,1420.25 \n",
       "  881.589,1432.47 882.029,1432.47 882.029,1444.69 882.183,1444.69 882.183,1432.47 882.206,1432.47 882.206,1444.69 882.208,1444.69 882.208,1432.47 882.341,1432.47 \n",
       "  882.341,1444.69 883.011,1444.69 883.011,1432.47 883.46,1432.47 883.46,1420.25 884.07,1420.25 884.07,1408.03 884.497,1408.03 884.497,1395.81 884.901,1395.81 \n",
       "  884.901,1408.03 885.279,1408.03 885.279,1395.81 885.43,1395.81 885.43,1408.03 885.518,1408.03 885.518,1420.25 885.556,1420.25 885.556,1408.03 885.773,1408.03 \n",
       "  885.773,1420.25 886.422,1420.25 886.422,1408.03 886.541,1408.03 886.541,1395.81 886.864,1395.81 886.864,1383.59 886.933,1383.59 886.933,1395.81 886.939,1395.81 \n",
       "  886.939,1408.03 887.282,1408.03 887.282,1395.81 887.352,1395.81 887.352,1383.59 887.903,1383.59 887.903,1371.37 887.936,1371.37 887.936,1359.15 888.184,1359.15 \n",
       "  888.184,1371.37 888.469,1371.37 888.469,1383.59 888.595,1383.59 888.595,1371.37 888.758,1371.37 888.758,1359.15 889.072,1359.15 889.072,1346.93 890.106,1346.93 \n",
       "  890.106,1334.71 890.165,1334.71 890.165,1346.93 890.474,1346.93 890.474,1359.15 890.747,1359.15 890.747,1371.37 891.126,1371.37 891.126,1383.59 891.623,1383.59 \n",
       "  891.623,1371.37 891.677,1371.37 891.677,1383.59 892.285,1383.59 892.285,1395.81 892.433,1395.81 892.433,1383.59 892.549,1383.59 892.549,1395.81 892.748,1395.81 \n",
       "  892.748,1383.59 894.199,1383.59 894.199,1395.81 894.271,1395.81 894.271,1408.03 894.33,1408.03 894.33,1420.25 894.332,1420.25 894.332,1408.03 894.379,1408.03 \n",
       "  894.379,1420.25 894.614,1420.25 894.614,1408.03 894.708,1408.03 894.708,1395.81 894.939,1395.81 894.939,1408.03 895.738,1408.03 895.738,1420.25 895.837,1420.25 \n",
       "  895.837,1432.47 896.101,1432.47 896.101,1444.69 896.255,1444.69 896.255,1456.91 896.273,1456.91 896.273,1444.69 896.483,1444.69 896.483,1432.47 896.66,1432.47 \n",
       "  896.66,1444.69 897.037,1444.69 897.037,1456.91 897.413,1456.91 897.413,1444.69 897.465,1444.69 897.465,1432.47 897.469,1432.47 897.469,1444.69 897.61,1444.69 \n",
       "  897.61,1432.47 897.705,1432.47 897.705,1444.69 897.915,1444.69 897.915,1432.47 898.362,1432.47 898.362,1420.25 898.427,1420.25 898.427,1408.03 899.035,1408.03 \n",
       "  899.035,1395.81 899.091,1395.81 899.091,1408.03 899.392,1408.03 899.392,1395.81 900.109,1395.81 900.109,1408.03 900.476,1408.03 900.476,1395.81 900.559,1395.81 \n",
       "  900.559,1383.59 900.781,1383.59 900.781,1371.37 901.453,1371.37 901.453,1359.15 901.499,1359.15 901.499,1346.93 901.508,1346.93 901.508,1334.71 901.964,1334.71 \n",
       "  901.964,1322.49 902.929,1322.49 902.929,1334.71 903.138,1334.71 903.138,1322.49 903.205,1322.49 903.205,1334.71 903.561,1334.71 903.561,1346.93 903.967,1346.93 \n",
       "  903.967,1359.15 905.508,1359.15 905.508,1346.93 905.674,1346.93 905.674,1359.15 906.276,1359.15 906.276,1346.93 906.757,1346.93 906.757,1359.15 907.698,1359.15 \n",
       "  907.698,1346.93 907.814,1346.93 907.814,1359.15 907.929,1359.15 907.929,1371.37 908.41,1371.37 908.41,1359.15 908.815,1359.15 908.815,1346.93 909.039,1346.93 \n",
       "  909.039,1359.15 909.053,1359.15 909.053,1346.93 909.197,1346.93 909.197,1334.71 909.559,1334.71 909.559,1322.49 909.605,1322.49 909.605,1310.27 909.944,1310.27 \n",
       "  909.944,1322.49 909.944,1322.49 909.944,1334.71 910.137,1334.71 910.137,1346.93 910.195,1346.93 910.195,1359.15 910.699,1359.15 910.699,1346.93 910.916,1346.93 \n",
       "  910.916,1359.15 911.216,1359.15 911.216,1371.37 911.673,1371.37 911.673,1359.15 911.694,1359.15 911.694,1346.93 911.794,1346.93 911.794,1359.15 911.955,1359.15 \n",
       "  911.955,1371.37 912.538,1371.37 912.538,1383.59 912.703,1383.59 912.703,1395.81 913.397,1395.81 913.397,1383.59 913.653,1383.59 913.653,1371.37 913.986,1371.37 \n",
       "  913.986,1383.59 914.367,1383.59 914.367,1395.81 914.424,1395.81 914.424,1383.59 914.69,1383.59 914.69,1371.37 915.399,1371.37 915.399,1359.15 915.966,1359.15 \n",
       "  915.966,1346.93 916.641,1346.93 916.641,1359.15 917.502,1359.15 917.502,1346.93 917.97,1346.93 917.97,1359.15 918.432,1359.15 918.432,1371.37 918.521,1371.37 \n",
       "  918.521,1359.15 918.71,1359.15 918.71,1371.37 918.842,1371.37 918.842,1383.59 919.695,1383.59 919.695,1371.37 920.237,1371.37 920.237,1383.59 920.343,1383.59 \n",
       "  920.343,1395.81 920.349,1395.81 920.349,1383.59 920.855,1383.59 920.855,1371.37 920.901,1371.37 920.901,1383.59 921.018,1383.59 921.018,1371.37 922.084,1371.37 \n",
       "  922.084,1359.15 922.091,1359.15 922.091,1346.93 922.369,1346.93 922.369,1334.71 922.372,1334.71 922.372,1322.49 923.417,1322.49 923.417,1310.27 923.475,1310.27 \n",
       "  923.475,1298.05 923.595,1298.05 923.595,1285.83 924.047,1285.83 924.047,1298.05 924.142,1298.05 924.142,1285.83 924.484,1285.83 924.484,1273.61 924.686,1273.61 \n",
       "  924.686,1285.83 924.726,1285.83 924.726,1298.05 924.936,1298.05 924.936,1310.27 925.412,1310.27 925.412,1322.49 925.465,1322.49 925.465,1334.71 925.896,1334.71 \n",
       "  925.896,1346.93 926.203,1346.93 926.203,1359.15 927.132,1359.15 927.132,1346.93 927.186,1346.93 927.186,1359.15 927.229,1359.15 927.229,1371.37 927.72,1371.37 \n",
       "  927.72,1359.15 927.9,1359.15 927.9,1371.37 927.938,1371.37 927.938,1383.59 928.349,1383.59 928.349,1395.81 928.567,1395.81 928.567,1383.59 930.425,1383.59 \n",
       "  930.425,1371.37 930.485,1371.37 930.485,1383.59 930.658,1383.59 930.658,1371.37 931.053,1371.37 931.053,1359.15 931.098,1359.15 931.098,1371.37 931.585,1371.37 \n",
       "  931.585,1383.59 932.392,1383.59 932.392,1395.81 932.5,1395.81 932.5,1408.03 932.623,1408.03 932.623,1395.81 932.711,1395.81 932.711,1408.03 932.746,1408.03 \n",
       "  932.746,1420.25 932.866,1420.25 932.866,1408.03 933.172,1408.03 933.172,1395.81 933.51,1395.81 933.51,1408.03 933.625,1408.03 933.625,1420.25 933.846,1420.25 \n",
       "  933.846,1408.03 934.02,1408.03 934.02,1420.25 934.491,1420.25 934.491,1408.03 934.926,1408.03 934.926,1395.81 935.239,1395.81 935.239,1383.59 935.429,1383.59 \n",
       "  935.429,1395.81 935.444,1395.81 935.444,1408.03 935.655,1408.03 935.655,1420.25 935.861,1420.25 935.861,1432.47 936.042,1432.47 936.042,1420.25 937.163,1420.25 \n",
       "  937.163,1408.03 937.383,1408.03 937.383,1395.81 937.537,1395.81 937.537,1383.59 938.001,1383.59 938.001,1371.37 939.442,1371.37 939.442,1359.15 939.518,1359.15 \n",
       "  939.518,1346.93 939.684,1346.93 939.684,1334.71 939.754,1334.71 939.754,1346.93 940.004,1346.93 940.004,1359.15 940.636,1359.15 940.636,1346.93 940.801,1346.93 \n",
       "  940.801,1334.71 941.182,1334.71 941.182,1346.93 941.187,1346.93 941.187,1334.71 941.276,1334.71 941.276,1346.93 941.978,1346.93 941.978,1334.71 942.101,1334.71 \n",
       "  942.101,1346.93 942.308,1346.93 942.308,1334.71 942.316,1334.71 942.316,1322.49 942.366,1322.49 942.366,1310.27 942.524,1310.27 942.524,1298.05 942.79,1298.05 \n",
       "  942.79,1285.83 943.255,1285.83 943.255,1273.61 944.275,1273.61 944.275,1261.39 945.04,1261.39 945.04,1273.61 945.576,1273.61 945.576,1285.83 945.678,1285.83 \n",
       "  945.678,1273.61 945.716,1273.61 945.716,1285.83 947.303,1285.83 947.303,1273.61 947.75,1273.61 947.75,1285.83 947.802,1285.83 947.802,1298.05 948.336,1298.05 \n",
       "  948.336,1310.27 948.494,1310.27 948.494,1298.05 948.549,1298.05 948.549,1285.83 949.035,1285.83 949.035,1273.61 949.248,1273.61 949.248,1285.83 949.305,1285.83 \n",
       "  949.305,1298.05 949.562,1298.05 949.562,1310.27 949.72,1310.27 949.72,1298.05 950.134,1298.05 950.134,1285.83 950.479,1285.83 950.479,1298.05 951.092,1298.05 \n",
       "  951.092,1310.27 951.12,1310.27 951.12,1298.05 951.328,1298.05 951.328,1285.83 951.464,1285.83 951.464,1298.05 951.648,1298.05 951.648,1310.27 952.115,1310.27 \n",
       "  952.115,1298.05 952.246,1298.05 952.246,1285.83 952.704,1285.83 952.704,1273.61 952.725,1273.61 952.725,1261.39 953.214,1261.39 953.214,1249.17 953.444,1249.17 \n",
       "  953.444,1261.39 954.352,1261.39 954.352,1273.61 954.463,1273.61 954.463,1261.39 954.571,1261.39 954.571,1273.61 954.723,1273.61 954.723,1285.83 954.964,1285.83 \n",
       "  954.964,1273.61 955.916,1273.61 955.916,1285.83 956.413,1285.83 956.413,1273.61 956.529,1273.61 956.529,1285.83 956.82,1285.83 956.82,1273.61 956.948,1273.61 \n",
       "  956.948,1261.39 957.075,1261.39 957.075,1273.61 957.187,1273.61 957.187,1285.83 957.249,1285.83 957.249,1273.61 957.26,1273.61 957.26,1261.39 957.433,1261.39 \n",
       "  957.433,1273.61 957.908,1273.61 957.908,1285.83 959.516,1285.83 959.516,1298.05 959.961,1298.05 959.961,1310.27 959.987,1310.27 959.987,1298.05 960.209,1298.05 \n",
       "  960.209,1310.27 960.289,1310.27 960.289,1298.05 960.692,1298.05 960.692,1310.27 961.062,1310.27 961.062,1322.49 961.141,1322.49 961.141,1310.27 961.642,1310.27 \n",
       "  961.642,1298.05 961.992,1298.05 961.992,1285.83 962.042,1285.83 962.042,1273.61 962.045,1273.61 962.045,1285.83 962.078,1285.83 962.078,1273.61 962.081,1273.61 \n",
       "  962.081,1285.83 962.152,1285.83 962.152,1298.05 962.627,1298.05 962.627,1310.27 962.701,1310.27 962.701,1322.49 962.919,1322.49 962.919,1334.71 963.011,1334.71 \n",
       "  963.011,1322.49 963.205,1322.49 963.205,1334.71 963.939,1334.71 963.939,1322.49 964.654,1322.49 964.654,1334.71 965.643,1334.71 965.643,1322.49 966.109,1322.49 \n",
       "  966.109,1310.27 966.206,1310.27 966.206,1298.05 966.464,1298.05 966.464,1285.83 966.51,1285.83 966.51,1298.05 966.523,1298.05 966.523,1285.83 966.886,1285.83 \n",
       "  966.886,1273.61 967.887,1273.61 967.887,1261.39 968.105,1261.39 968.105,1273.61 968.159,1273.61 968.159,1285.83 968.995,1285.83 968.995,1273.61 969.102,1273.61 \n",
       "  969.102,1285.83 969.198,1285.83 969.198,1273.61 969.203,1273.61 969.203,1285.83 969.245,1285.83 969.245,1298.05 969.79,1298.05 969.79,1285.83 970.117,1285.83 \n",
       "  970.117,1273.61 970.21,1273.61 970.21,1285.83 971.19,1285.83 971.19,1298.05 971.495,1298.05 971.495,1285.83 971.523,1285.83 971.523,1273.61 971.814,1273.61 \n",
       "  971.814,1261.39 972.489,1261.39 972.489,1249.17 972.535,1249.17 972.535,1236.95 972.539,1236.95 972.539,1249.17 973.1,1249.17 973.1,1236.95 973.351,1236.95 \n",
       "  973.351,1249.17 973.464,1249.17 973.464,1261.39 973.473,1261.39 973.473,1273.61 973.832,1273.61 973.832,1285.83 974.124,1285.83 974.124,1298.05 974.388,1298.05 \n",
       "  974.388,1285.83 974.914,1285.83 974.914,1298.05 974.97,1298.05 974.97,1310.27 975.092,1310.27 975.092,1322.49 975.173,1322.49 975.173,1334.71 975.596,1334.71 \n",
       "  975.596,1346.93 975.599,1346.93 975.599,1334.71 975.614,1334.71 975.614,1322.49 975.685,1322.49 975.685,1334.71 976.303,1334.71 976.303,1346.93 976.657,1346.93 \n",
       "  976.657,1359.15 976.988,1359.15 976.988,1346.93 977.432,1346.93 977.432,1334.71 977.521,1334.71 977.521,1346.93 977.546,1346.93 977.546,1359.15 978.004,1359.15 \n",
       "  978.004,1371.37 978.093,1371.37 978.093,1383.59 978.202,1383.59 978.202,1395.81 978.246,1395.81 978.246,1383.59 978.294,1383.59 978.294,1395.81 978.71,1395.81 \n",
       "  978.71,1383.59 979.099,1383.59 979.099,1395.81 979.139,1395.81 979.139,1383.59 979.571,1383.59 979.571,1395.81 980.158,1395.81 980.158,1383.59 980.249,1383.59 \n",
       "  980.249,1371.37 980.464,1371.37 980.464,1359.15 981.115,1359.15 981.115,1346.93 981.174,1346.93 981.174,1359.15 981.436,1359.15 981.436,1371.37 981.954,1371.37 \n",
       "  981.954,1359.15 982.441,1359.15 982.441,1346.93 982.535,1346.93 982.535,1359.15 982.987,1359.15 982.987,1346.93 983.062,1346.93 983.062,1334.71 983.273,1334.71 \n",
       "  983.273,1322.49 983.346,1322.49 983.346,1334.71 983.624,1334.71 983.624,1322.49 983.828,1322.49 983.828,1334.71 984.226,1334.71 984.226,1346.93 984.878,1346.93 \n",
       "  984.878,1359.15 984.882,1359.15 984.882,1346.93 985.051,1346.93 985.051,1359.15 985.234,1359.15 985.234,1346.93 986.058,1346.93 986.058,1334.71 986.078,1334.71 \n",
       "  986.078,1346.93 986.31,1346.93 986.31,1359.15 986.689,1359.15 986.689,1371.37 987.302,1371.37 987.302,1359.15 988.196,1359.15 988.196,1371.37 988.22,1371.37 \n",
       "  988.22,1359.15 988.26,1359.15 988.26,1371.37 988.582,1371.37 988.582,1359.15 988.744,1359.15 988.744,1346.93 989.017,1346.93 989.017,1359.15 989.418,1359.15 \n",
       "  989.418,1346.93 989.658,1346.93 989.658,1359.15 989.669,1359.15 989.669,1371.37 989.868,1371.37 989.868,1359.15 991.216,1359.15 991.216,1371.37 992.125,1371.37 \n",
       "  992.125,1383.59 992.805,1383.59 992.805,1395.81 992.843,1395.81 992.843,1383.59 992.939,1383.59 992.939,1395.81 992.962,1395.81 992.962,1408.03 993.191,1408.03 \n",
       "  993.191,1420.25 994.012,1420.25 994.012,1408.03 994.069,1408.03 994.069,1420.25 994.346,1420.25 994.346,1408.03 994.993,1408.03 994.993,1420.25 995.879,1420.25 \n",
       "  995.879,1408.03 996.044,1408.03 996.044,1420.25 996.073,1420.25 996.073,1432.47 996.234,1432.47 996.234,1444.69 996.31,1444.69 996.31,1432.47 996.313,1432.47 \n",
       "  996.313,1420.25 996.45,1420.25 996.45,1432.47 996.594,1432.47 996.594,1444.69 996.597,1444.69 996.597,1456.91 997.546,1456.91 997.546,1444.69 997.63,1444.69 \n",
       "  997.63,1432.47 998.009,1432.47 998.009,1444.69 998.16,1444.69 998.16,1456.91 999.342,1456.91 999.342,1444.69 999.613,1444.69 999.613,1432.47 999.899,1432.47 \n",
       "  999.899,1420.25 1000.57,1420.25 1000.57,1432.47 1001.77,1432.47 1001.77,1444.69 1001.98,1444.69 1001.98,1456.91 1002.31,1456.91 1002.31,1444.69 1002.5,1444.69 \n",
       "  1002.5,1456.91 1004.11,1456.91 1004.11,1444.69 1004.74,1444.69 1004.74,1456.91 1004.76,1456.91 1004.76,1444.69 1004.76,1444.69 1004.76,1456.91 1005.2,1456.91 \n",
       "  1005.2,1444.69 1005.64,1444.69 1005.64,1432.47 1005.86,1432.47 1005.86,1444.69 1006.79,1444.69 1006.79,1432.47 1006.85,1432.47 1006.85,1420.25 1007.31,1420.25 \n",
       "  1007.31,1432.47 1007.77,1432.47 1007.77,1420.25 1007.95,1420.25 1007.95,1408.03 1008.23,1408.03 1008.23,1420.25 1008.45,1420.25 1008.45,1408.03 1008.54,1408.03 \n",
       "  1008.54,1395.81 1008.84,1395.81 1008.84,1408.03 1009.22,1408.03 1009.22,1420.25 1009.24,1420.25 1009.24,1408.03 1009.3,1408.03 1009.3,1395.81 1009.64,1395.81 \n",
       "  1009.64,1383.59 1009.65,1383.59 1009.65,1371.37 1011.13,1371.37 1011.13,1359.15 1011.68,1359.15 1011.68,1371.37 1012.14,1371.37 1012.14,1359.15 1012.28,1359.15 \n",
       "  1012.28,1346.93 1012.36,1346.93 1012.36,1334.71 1012.38,1334.71 1012.38,1346.93 1013.26,1346.93 1013.26,1334.71 1013.4,1334.71 1013.4,1322.49 1013.61,1322.49 \n",
       "  1013.61,1334.71 1014.12,1334.71 1014.12,1346.93 1014.56,1346.93 1014.56,1334.71 1015.59,1334.71 1015.59,1322.49 1016.27,1322.49 1016.27,1310.27 1016.36,1310.27 \n",
       "  1016.36,1298.05 1016.41,1298.05 1016.41,1310.27 1016.77,1310.27 1016.77,1298.05 1017.96,1298.05 1017.96,1310.27 1018.06,1310.27 1018.06,1298.05 1018.29,1298.05 \n",
       "  1018.29,1285.83 1018.37,1285.83 1018.37,1298.05 1018.48,1298.05 1018.48,1285.83 1018.75,1285.83 1018.75,1273.61 1018.76,1273.61 1018.76,1285.83 1019.25,1285.83 \n",
       "  1019.25,1273.61 1019.41,1273.61 1019.41,1285.83 1020.03,1285.83 1020.03,1273.61 1020.08,1273.61 1020.08,1285.83 1020.42,1285.83 1020.42,1273.61 1020.66,1273.61 \n",
       "  1020.66,1285.83 1021.22,1285.83 1021.22,1298.05 1021.5,1298.05 1021.5,1310.27 1021.72,1310.27 1021.72,1322.49 1021.73,1322.49 1021.73,1310.27 1022.19,1310.27 \n",
       "  1022.19,1298.05 1022.24,1298.05 1022.24,1285.83 1022.25,1285.83 1022.25,1273.61 1022.54,1273.61 1022.54,1285.83 1022.59,1285.83 1022.59,1298.05 1022.65,1298.05 \n",
       "  1022.65,1285.83 1022.76,1285.83 1022.76,1298.05 1023.01,1298.05 1023.01,1310.27 1023.61,1310.27 1023.61,1298.05 1023.64,1298.05 1023.64,1285.83 1023.78,1285.83 \n",
       "  1023.78,1273.61 1023.8,1273.61 1023.8,1285.83 1023.98,1285.83 1023.98,1298.05 1024.36,1298.05 1024.36,1310.27 1024.44,1310.27 1024.44,1298.05 1025.79,1298.05 \n",
       "  1025.79,1285.83 1025.94,1285.83 1025.94,1273.61 1026.02,1273.61 1026.02,1261.39 1026.23,1261.39 1026.23,1249.17 1026.34,1249.17 1026.34,1236.95 1026.38,1236.95 \n",
       "  1026.38,1249.17 1026.76,1249.17 1026.76,1261.39 1027.38,1261.39 1027.38,1273.61 1027.71,1273.61 1027.71,1261.39 1028.33,1261.39 1028.33,1273.61 1028.37,1273.61 \n",
       "  1028.37,1261.39 1028.42,1261.39 1028.42,1273.61 1028.65,1273.61 1028.65,1285.83 1029.12,1285.83 1029.12,1273.61 1029.33,1273.61 1029.33,1285.83 1029.35,1285.83 \n",
       "  1029.35,1273.61 1029.48,1273.61 1029.48,1285.83 1029.69,1285.83 1029.69,1298.05 1029.89,1298.05 1029.89,1310.27 1030.11,1310.27 1030.11,1322.49 1030.13,1322.49 \n",
       "  1030.13,1334.71 1030.47,1334.71 1030.47,1346.93 1031.27,1346.93 1031.27,1359.15 1031.39,1359.15 1031.39,1346.93 1031.93,1346.93 1031.93,1359.15 1031.99,1359.15 \n",
       "  1031.99,1346.93 1032.02,1346.93 1032.02,1359.15 1032.24,1359.15 1032.24,1346.93 1032.27,1346.93 1032.27,1359.15 1032.32,1359.15 1032.32,1371.37 1032.55,1371.37 \n",
       "  1032.55,1359.15 1033.34,1359.15 1033.34,1371.37 1033.74,1371.37 1033.74,1359.15 1033.84,1359.15 1033.84,1371.37 1034.83,1371.37 1034.83,1383.59 1034.93,1383.59 \n",
       "  1034.93,1395.81 1035.32,1395.81 1035.32,1383.59 1035.35,1383.59 1035.35,1395.81 1035.38,1395.81 1035.38,1408.03 1035.94,1408.03 1035.94,1420.25 1037.07,1420.25 \n",
       "  1037.07,1432.47 1037.18,1432.47 1037.18,1444.69 1037.79,1444.69 1037.79,1432.47 1038.65,1432.47 1038.65,1444.69 1038.78,1444.69 1038.78,1432.47 1039.36,1432.47 \n",
       "  1039.36,1420.25 1039.51,1420.25 1039.51,1432.47 1039.94,1432.47 1039.94,1444.69 1040.29,1444.69 1040.29,1432.47 1041.59,1432.47 1041.59,1444.69 1042.07,1444.69 \n",
       "  1042.07,1432.47 1043.37,1432.47 1043.37,1444.69 1043.38,1444.69 1043.38,1456.91 1044.21,1456.91 1044.21,1444.69 1044.3,1444.69 1044.3,1456.91 1044.35,1456.91 \n",
       "  1044.35,1444.69 1044.4,1444.69 1044.4,1432.47 1045.04,1432.47 1045.04,1444.69 1045.92,1444.69 1045.92,1432.47 1046.48,1432.47 1046.48,1420.25 1047.03,1420.25 \n",
       "  1047.03,1432.47 1047.21,1432.47 1047.21,1420.25 1047.42,1420.25 1047.42,1432.47 1047.48,1432.47 1047.48,1444.69 1047.69,1444.69 1047.69,1432.47 1048.01,1432.47 \n",
       "  1048.01,1420.25 1048.33,1420.25 1048.33,1432.47 1048.47,1432.47 1048.47,1444.69 1048.7,1444.69 1048.7,1456.91 1049.19,1456.91 1049.19,1444.69 1049.37,1444.69 \n",
       "  1049.37,1456.91 1049.66,1456.91 1049.66,1444.69 1049.92,1444.69 1049.92,1432.47 1050.03,1432.47 1050.03,1444.69 1050.12,1444.69 1050.12,1456.91 1051.81,1456.91 \n",
       "  1051.81,1444.69 1051.91,1444.69 1051.91,1432.47 1052.36,1432.47 1052.36,1444.69 1052.47,1444.69 1052.47,1432.47 1053.01,1432.47 1053.01,1420.25 1053.17,1420.25 \n",
       "  1053.17,1432.47 1053.18,1432.47 1053.18,1444.69 1053.26,1444.69 1053.26,1456.91 1053.98,1456.91 1053.98,1444.69 1054.02,1444.69 1054.02,1432.47 1054.14,1432.47 \n",
       "  1054.14,1420.25 1054.31,1420.25 1054.31,1432.47 1054.66,1432.47 1054.66,1420.25 1054.79,1420.25 1054.79,1432.47 1055.02,1432.47 1055.02,1420.25 1055.11,1420.25 \n",
       "  1055.11,1432.47 1055.25,1432.47 1055.25,1444.69 1055.28,1444.69 1055.28,1456.91 1059.64,1456.91 1059.64,1444.69 1060.31,1444.69 1060.31,1432.47 1061.7,1432.47 \n",
       "  1061.7,1420.25 1061.76,1420.25 1061.76,1408.03 1062.36,1408.03 1062.36,1395.81 1062.73,1395.81 1062.73,1383.59 1062.77,1383.59 1062.77,1371.37 1063.76,1371.37 \n",
       "  1063.76,1383.59 1064.01,1383.59 1064.01,1395.81 1064.27,1395.81 1064.27,1408.03 1064.42,1408.03 1064.42,1395.81 1064.47,1395.81 1064.47,1383.59 1064.74,1383.59 \n",
       "  1064.74,1371.37 1065.44,1371.37 1065.44,1359.15 1065.84,1359.15 1065.84,1371.37 1065.96,1371.37 1065.96,1359.15 1066.7,1359.15 1066.7,1371.37 1067.67,1371.37 \n",
       "  1067.67,1383.59 1067.8,1383.59 1067.8,1395.81 1068.07,1395.81 1068.07,1408.03 1068.16,1408.03 1068.16,1420.25 1068.91,1420.25 1068.91,1408.03 1069.01,1408.03 \n",
       "  1069.01,1420.25 1069.24,1420.25 1069.24,1432.47 1070.13,1432.47 1070.13,1420.25 1071.1,1420.25 1071.1,1432.47 1071.25,1432.47 1071.25,1420.25 1071.38,1420.25 \n",
       "  1071.38,1408.03 1071.47,1408.03 1071.47,1420.25 1071.84,1420.25 1071.84,1408.03 1072.26,1408.03 1072.26,1395.81 1072.32,1395.81 1072.32,1383.59 1073.08,1383.59 \n",
       "  1073.08,1371.37 1073.44,1371.37 1073.44,1383.59 1073.79,1383.59 1073.79,1395.81 1074.6,1395.81 1074.6,1408.03 1075.04,1408.03 1075.04,1395.81 1075.83,1395.81 \n",
       "  1075.83,1383.59 1075.84,1383.59 1075.84,1395.81 1076.03,1395.81 1076.03,1408.03 1076.35,1408.03 1076.35,1420.25 1076.41,1420.25 1076.41,1408.03 1076.45,1408.03 \n",
       "  1076.45,1420.25 1076.69,1420.25 1076.69,1408.03 1077.8,1408.03 1077.8,1395.81 1079.29,1395.81 1079.29,1383.59 1079.36,1383.59 1079.36,1395.81 1080.28,1395.81 \n",
       "  1080.28,1383.59 1080.64,1383.59 1080.64,1395.81 1080.83,1395.81 1080.83,1383.59 1081.05,1383.59 1081.05,1371.37 1081.27,1371.37 1081.27,1359.15 1083.02,1359.15 \n",
       "  1083.02,1346.93 1083.34,1346.93 1083.34,1334.71 1083.71,1334.71 1083.71,1322.49 1084.41,1322.49 1084.41,1334.71 1085.25,1334.71 1085.25,1322.49 1085.3,1322.49 \n",
       "  1085.3,1334.71 1086.28,1334.71 1086.28,1346.93 1086.48,1346.93 1086.48,1359.15 1086.62,1359.15 1086.62,1371.37 1086.94,1371.37 1086.94,1383.59 1087.95,1383.59 \n",
       "  1087.95,1395.81 1088.47,1395.81 1088.47,1383.59 1088.53,1383.59 1088.53,1395.81 1089.79,1395.81 1089.79,1383.59 1090.04,1383.59 1090.04,1371.37 1090.34,1371.37 \n",
       "  1090.34,1383.59 1090.43,1383.59 1090.43,1395.81 1091.47,1395.81 1091.47,1383.59 1091.74,1383.59 1091.74,1395.81 1093.1,1395.81 1093.1,1383.59 1093.7,1383.59 \n",
       "  1093.7,1371.37 1094.67,1371.37 1094.67,1359.15 1094.8,1359.15 1094.8,1371.37 1094.88,1371.37 1094.88,1383.59 1095.35,1383.59 1095.35,1395.81 1096.17,1395.81 \n",
       "  1096.17,1383.59 1096.22,1383.59 1096.22,1395.81 1096.36,1395.81 1096.36,1408.03 1096.72,1408.03 1096.72,1420.25 1096.79,1420.25 1096.79,1432.47 1097.11,1432.47 \n",
       "  1097.11,1420.25 1098.18,1420.25 1098.18,1432.47 1098.35,1432.47 1098.35,1420.25 1098.43,1420.25 1098.43,1408.03 1099.25,1408.03 1099.25,1420.25 1099.81,1420.25 \n",
       "  1099.81,1432.47 1100.24,1432.47 1100.24,1444.69 1100.36,1444.69 1100.36,1456.91 1102.96,1456.91 1102.96,1444.69 1103.07,1444.69 1103.07,1432.47 1103.19,1432.47 \n",
       "  1103.19,1444.69 1103.44,1444.69 1103.44,1456.91 1104.44,1456.91 1104.44,1444.69 1105.19,1444.69 1105.19,1456.91 1105.38,1456.91 1105.38,1444.69 1105.57,1444.69 \n",
       "  1105.57,1432.47 1106,1432.47 1106,1420.25 1106,1420.25 1106,1432.47 1106.18,1432.47 1106.18,1444.69 1106.22,1444.69 1106.22,1432.47 1106.37,1432.47 \n",
       "  1106.37,1420.25 1107.11,1420.25 1107.11,1408.03 1107.18,1408.03 1107.18,1420.25 1107.22,1420.25 1107.22,1432.47 1107.42,1432.47 1107.42,1420.25 1107.55,1420.25 \n",
       "  1107.55,1408.03 1107.85,1408.03 1107.85,1420.25 1107.91,1420.25 1107.91,1408.03 1108.8,1408.03 1108.8,1420.25 1108.81,1420.25 1108.81,1408.03 1108.94,1408.03 \n",
       "  1108.94,1395.81 1109.09,1395.81 1109.09,1383.59 1109.1,1383.59 1109.1,1395.81 1109.11,1395.81 1109.11,1408.03 1109.17,1408.03 1109.17,1420.25 1109.51,1420.25 \n",
       "  1109.51,1432.47 1109.8,1432.47 1109.8,1444.69 1110.03,1444.69 1110.03,1432.47 1110.05,1432.47 1110.05,1420.25 1110.27,1420.25 1110.27,1432.47 1111.41,1432.47 \n",
       "  1111.41,1420.25 1111.76,1420.25 1111.76,1408.03 1111.84,1408.03 1111.84,1420.25 1112.25,1420.25 1112.25,1408.03 1113.47,1408.03 1113.47,1420.25 1113.54,1420.25 \n",
       "  1113.54,1408.03 1113.6,1408.03 1113.6,1395.81 1113.95,1395.81 1113.95,1408.03 1114.17,1408.03 1114.17,1395.81 1114.21,1395.81 1114.21,1383.59 1114.55,1383.59 \n",
       "  1114.55,1371.37 1114.88,1371.37 1114.88,1359.15 1114.89,1359.15 1114.89,1371.37 1115.28,1371.37 1115.28,1383.59 1115.65,1383.59 1115.65,1395.81 1115.78,1395.81 \n",
       "  1115.78,1408.03 1116.43,1408.03 1116.43,1420.25 1116.45,1420.25 1116.45,1408.03 1117.31,1408.03 1117.31,1420.25 1117.39,1420.25 1117.39,1408.03 1117.52,1408.03 \n",
       "  1117.52,1395.81 1117.85,1395.81 1117.85,1408.03 1117.91,1408.03 1117.91,1395.81 1118.12,1395.81 1118.12,1408.03 1118.19,1408.03 1118.19,1420.25 1118.54,1420.25 \n",
       "  1118.54,1432.47 1118.7,1432.47 1118.7,1420.25 1119.15,1420.25 1119.15,1432.47 1119.53,1432.47 1119.53,1444.69 1119.83,1444.69 1119.83,1456.91 1121.48,1456.91 \n",
       "  1121.48,1444.69 1121.6,1444.69 1121.6,1432.47 1122.01,1432.47 1122.01,1444.69 1122.07,1444.69 1122.07,1456.91 1123.24,1456.91 1123.24,1444.69 1123.32,1444.69 \n",
       "  1123.32,1456.91 1123.35,1456.91 1123.35,1444.69 1123.37,1444.69 1123.37,1456.91 1124.75,1456.91 1124.75,1444.69 1124.86,1444.69 1124.86,1456.91 1124.96,1456.91 \n",
       "  1124.96,1444.69 1125.11,1444.69 1125.11,1456.91 1126.16,1456.91 1126.16,1444.69 1126.37,1444.69 1126.37,1456.91 1126.53,1456.91 1126.53,1444.69 1126.63,1444.69 \n",
       "  1126.63,1432.47 1127.54,1432.47 1127.54,1444.69 1127.65,1444.69 1127.65,1456.91 1129.46,1456.91 1129.46,1444.69 1129.56,1444.69 1129.56,1432.47 1129.63,1432.47 \n",
       "  1129.63,1420.25 1129.67,1420.25 1129.67,1408.03 1129.91,1408.03 1129.91,1420.25 1131.25,1420.25 1131.25,1432.47 1131.33,1432.47 1131.33,1420.25 1131.54,1420.25 \n",
       "  1131.54,1432.47 1131.83,1432.47 1131.83,1444.69 1131.84,1444.69 1131.84,1456.91 1132.6,1456.91 1132.6,1444.69 1133.72,1444.69 1133.72,1456.91 1133.8,1456.91 \n",
       "  1133.8,1444.69 1134.25,1444.69 1134.25,1456.91 1134.7,1456.91 1134.7,1444.69 1135.07,1444.69 1135.07,1432.47 1135.8,1432.47 1135.8,1444.69 1135.91,1444.69 \n",
       "  1135.91,1432.47 1136.02,1432.47 1136.02,1420.25 1136.73,1420.25 1136.73,1408.03 1136.82,1408.03 1136.82,1420.25 1137.35,1420.25 1137.35,1432.47 1137.57,1432.47 \n",
       "  1137.57,1420.25 1137.69,1420.25 1137.69,1432.47 1137.74,1432.47 1137.74,1420.25 1138.11,1420.25 1138.11,1432.47 1138.32,1432.47 1138.32,1444.69 1138.67,1444.69 \n",
       "  1138.67,1456.91 1140.43,1456.91 1140.43,1444.69 1140.53,1444.69 1140.53,1432.47 1140.59,1432.47 1140.59,1444.69 1140.76,1444.69 1140.76,1456.91 1141.02,1456.91 \n",
       "  1141.02,1444.69 1141.07,1444.69 1141.07,1456.91 1142.04,1456.91 1142.04,1444.69 1142.57,1444.69 1142.57,1432.47 1143.26,1432.47 1143.26,1444.69 1143.6,1444.69 \n",
       "  1143.6,1432.47 1144.15,1432.47 1144.15,1444.69 1144.55,1444.69 1144.55,1432.47 1144.86,1432.47 1144.86,1420.25 1146.01,1420.25 1146.01,1432.47 1146.1,1432.47 \n",
       "  1146.1,1444.69 1146.15,1444.69 1146.15,1432.47 1146.53,1432.47 1146.53,1444.69 1147.23,1444.69 1147.23,1456.91 1148.12,1456.91 1148.12,1444.69 1148.4,1444.69 \n",
       "  1148.4,1432.47 1148.48,1432.47 1148.48,1444.69 1148.91,1444.69 1148.91,1432.47 1150.09,1432.47 1150.09,1420.25 1150.36,1420.25 1150.36,1432.47 1150.72,1432.47 \n",
       "  1150.72,1444.69 1150.94,1444.69 1150.94,1456.91 1151.5,1456.91 1151.5,1444.69 1151.53,1444.69 1151.53,1432.47 1151.56,1432.47 1151.56,1420.25 1151.71,1420.25 \n",
       "  1151.71,1408.03 1152.04,1408.03 1152.04,1420.25 1152.1,1420.25 1152.1,1432.47 1152.12,1432.47 1152.12,1420.25 1152.18,1420.25 1152.18,1432.47 1152.8,1432.47 \n",
       "  1152.8,1444.69 1152.94,1444.69 1152.94,1456.91 1155.15,1456.91 1155.15,1444.69 1155.43,1444.69 1155.43,1432.47 1155.58,1432.47 1155.58,1420.25 1155.73,1420.25 \n",
       "  1155.73,1432.47 1156.94,1432.47 1156.94,1420.25 1157.01,1420.25 1157.01,1408.03 1157.58,1408.03 1157.58,1420.25 1158.37,1420.25 1158.37,1408.03 1158.86,1408.03 \n",
       "  1158.86,1395.81 1158.88,1395.81 1158.88,1383.59 1159,1383.59 1159,1395.81 1159.2,1395.81 1159.2,1408.03 1159.92,1408.03 1159.92,1420.25 1160.6,1420.25 \n",
       "  1160.6,1432.47 1160.72,1432.47 1160.72,1444.69 1161.07,1444.69 1161.07,1456.91 1162.04,1456.91 1162.04,1444.69 1162.62,1444.69 1162.62,1456.91 1162.74,1456.91 \n",
       "  1162.74,1444.69 1162.99,1444.69 1162.99,1432.47 1163.38,1432.47 1163.38,1420.25 1163.58,1420.25 1163.58,1408.03 1163.63,1408.03 1163.63,1420.25 1163.87,1420.25 \n",
       "  1163.87,1408.03 1164.5,1408.03 1164.5,1420.25 1164.65,1420.25 1164.65,1432.47 1164.67,1432.47 1164.67,1420.25 1164.88,1420.25 1164.88,1432.47 1165.42,1432.47 \n",
       "  1165.42,1444.69 1165.44,1444.69 1165.44,1456.91 1165.47,1456.91 1165.47,1444.69 1166.26,1444.69 1166.26,1456.91 1166.42,1456.91 1166.42,1444.69 1166.74,1444.69 \n",
       "  1166.74,1456.91 1167.12,1456.91 1167.12,1444.69 1167.46,1444.69 1167.46,1456.91 1168,1456.91 1168,1444.69 1168.91,1444.69 1168.91,1432.47 1169.26,1432.47 \n",
       "  1169.26,1420.25 1169.93,1420.25 1169.93,1432.47 1170.19,1432.47 1170.19,1420.25 1170.57,1420.25 1170.57,1432.47 1170.92,1432.47 1170.92,1444.69 1171.69,1444.69 \n",
       "  1171.69,1432.47 1171.76,1432.47 1171.76,1420.25 1171.78,1420.25 1171.78,1408.03 1172.75,1408.03 1172.75,1395.81 1172.89,1395.81 1172.89,1408.03 1173.99,1408.03 \n",
       "  1173.99,1420.25 1174.56,1420.25 1174.56,1408.03 1174.63,1408.03 1174.63,1420.25 1174.76,1420.25 1174.76,1408.03 1175.03,1408.03 1175.03,1420.25 1175.2,1420.25 \n",
       "  1175.2,1432.47 1175.22,1432.47 1175.22,1444.69 1175.25,1444.69 1175.25,1456.91 1176.32,1456.91 1176.32,1444.69 1176.44,1444.69 1176.44,1432.47 1176.47,1432.47 \n",
       "  1176.47,1444.69 1176.65,1444.69 1176.65,1456.91 1177.15,1456.91 1177.15,1444.69 1178.29,1444.69 1178.29,1456.91 1178.87,1456.91 1178.87,1444.69 1178.91,1444.69 \n",
       "  1178.91,1456.91 1179.39,1456.91 1179.39,1444.69 1180.11,1444.69 1180.11,1456.91 1180.22,1456.91 1180.22,1444.69 1180.72,1444.69 1180.72,1456.91 1185.14,1456.91 \n",
       "  1185.14,1444.69 1185.67,1444.69 1185.67,1456.91 1186.11,1456.91 1186.11,1444.69 1186.2,1444.69 1186.2,1456.91 1186.38,1456.91 1186.38,1444.69 1187.65,1444.69 \n",
       "  1187.65,1432.47 1187.87,1432.47 1187.87,1420.25 1188.19,1420.25 1188.19,1408.03 1188.23,1408.03 1188.23,1420.25 1188.35,1420.25 1188.35,1408.03 1188.6,1408.03 \n",
       "  1188.6,1420.25 1188.76,1420.25 1188.76,1408.03 1188.95,1408.03 1188.95,1395.81 1188.95,1395.81 1188.95,1408.03 1189.63,1408.03 1189.63,1420.25 1190.2,1420.25 \n",
       "  1190.2,1432.47 1190.45,1432.47 1190.45,1444.69 1190.78,1444.69 1190.78,1456.91 1191.59,1456.91 1191.59,1444.69 1192.02,1444.69 1192.02,1456.91 1192.29,1456.91 \n",
       "  1192.29,1444.69 1192.31,1444.69 1192.31,1456.91 1192.46,1456.91 1192.46,1444.69 1193.87,1444.69 1193.87,1432.47 1194.04,1432.47 1194.04,1420.25 1194.42,1420.25 \n",
       "  1194.42,1408.03 1194.52,1408.03 1194.52,1395.81 1194.59,1395.81 1194.59,1383.59 1194.64,1383.59 1194.64,1395.81 1195.06,1395.81 1195.06,1383.59 1195.67,1383.59 \n",
       "  1195.67,1371.37 1196.16,1371.37 1196.16,1383.59 1196.56,1383.59 1196.56,1395.81 1197.01,1395.81 1197.01,1408.03 1197.06,1408.03 1197.06,1420.25 1197.32,1420.25 \n",
       "  1197.32,1432.47 1197.38,1432.47 1197.38,1420.25 1197.46,1420.25 1197.46,1432.47 1197.7,1432.47 1197.7,1420.25 1198.33,1420.25 1198.33,1432.47 1199.02,1432.47 \n",
       "  1199.02,1444.69 1199.59,1444.69 1199.59,1432.47 1200.14,1432.47 1200.14,1444.69 1200.71,1444.69 1200.71,1456.91 1201.57,1456.91 1201.57,1444.69 1201.82,1444.69 \n",
       "  1201.82,1456.91 1201.95,1456.91 1201.95,1444.69 1202.14,1444.69 1202.14,1456.91 1203.12,1456.91 1203.12,1444.69 1204.14,1444.69 1204.14,1432.47 1204.19,1432.47 \n",
       "  1204.19,1420.25 1204.24,1420.25 1204.24,1432.47 1204.26,1432.47 1204.26,1444.69 1204.36,1444.69 1204.36,1432.47 1204.39,1432.47 1204.39,1444.69 1204.54,1444.69 \n",
       "  1204.54,1456.91 1204.74,1456.91 1204.74,1444.69 1205.39,1444.69 1205.39,1432.47 1205.44,1432.47 1205.44,1420.25 1205.58,1420.25 1205.58,1432.47 1205.61,1432.47 \n",
       "  1205.61,1420.25 1205.65,1420.25 1205.65,1408.03 1206.25,1408.03 1206.25,1420.25 1206.57,1420.25 1206.57,1432.47 1206.67,1432.47 1206.67,1444.69 1207.26,1444.69 \n",
       "  1207.26,1456.91 1207.43,1456.91 1207.43,1444.69 1207.44,1444.69 1207.44,1432.47 1207.6,1432.47 1207.6,1420.25 1208.33,1420.25 1208.33,1408.03 1208.36,1408.03 \n",
       "  1208.36,1420.25 1208.47,1420.25 1208.47,1408.03 1210.17,1408.03 1210.17,1395.81 1210.18,1395.81 1210.18,1383.59 1210.56,1383.59 1210.56,1395.81 1211.04,1395.81 \n",
       "  1211.04,1408.03 1211.42,1408.03 1211.42,1420.25 1211.44,1420.25 1211.44,1432.47 1211.59,1432.47 1211.59,1420.25 1211.65,1420.25 1211.65,1432.47 1212.02,1432.47 \n",
       "  1212.02,1420.25 1212.1,1420.25 1212.1,1432.47 1213.08,1432.47 1213.08,1420.25 1213.09,1420.25 1213.09,1408.03 1213.18,1408.03 1213.18,1420.25 1213.4,1420.25 \n",
       "  1213.4,1408.03 1213.64,1408.03 1213.64,1420.25 1214.46,1420.25 1214.46,1432.47 1215.02,1432.47 1215.02,1420.25 1215.08,1420.25 1215.08,1408.03 1215.29,1408.03 \n",
       "  1215.29,1395.81 1215.9,1395.81 1215.9,1383.59 1216.47,1383.59 1216.47,1371.37 1216.53,1371.37 1216.53,1383.59 1216.82,1383.59 1216.82,1371.37 1217.17,1371.37 \n",
       "  1217.17,1359.15 1217.59,1359.15 1217.59,1371.37 1217.99,1371.37 1217.99,1383.59 1218.05,1383.59 1218.05,1395.81 1218.16,1395.81 1218.16,1408.03 1218.28,1408.03 \n",
       "  1218.28,1420.25 1218.43,1420.25 1218.43,1408.03 1218.6,1408.03 1218.6,1420.25 1218.64,1420.25 1218.64,1408.03 1219.91,1408.03 1219.91,1395.81 1219.93,1395.81 \n",
       "  1219.93,1383.59 1220.65,1383.59 1220.65,1371.37 1220.94,1371.37 1220.94,1383.59 1222.02,1383.59 1222.02,1395.81 1222.29,1395.81 1222.29,1383.59 1222.48,1383.59 \n",
       "  1222.48,1395.81 1222.75,1395.81 1222.75,1383.59 1223.72,1383.59 1223.72,1371.37 1224.35,1371.37 1224.35,1383.59 1226.54,1383.59 1226.54,1371.37 1227.26,1371.37 \n",
       "  1227.26,1383.59 1227.72,1383.59 1227.72,1395.81 1227.76,1395.81 1227.76,1383.59 1227.78,1383.59 1227.78,1371.37 1227.87,1371.37 1227.87,1359.15 1228.51,1359.15 \n",
       "  1228.51,1346.93 1228.65,1346.93 1228.65,1359.15 1228.76,1359.15 1228.76,1346.93 1229.16,1346.93 1229.16,1334.71 1229.34,1334.71 1229.34,1322.49 1229.59,1322.49 \n",
       "  1229.59,1310.27 1230.45,1310.27 1230.45,1298.05 1230.52,1298.05 1230.52,1310.27 1230.53,1310.27 1230.53,1322.49 1230.58,1322.49 1230.58,1334.71 1230.71,1334.71 \n",
       "  1230.71,1322.49 1231.23,1322.49 1231.23,1334.71 1231.48,1334.71 1231.48,1322.49 1231.59,1322.49 1231.59,1310.27 1231.69,1310.27 1231.69,1322.49 1231.86,1322.49 \n",
       "  1231.86,1334.71 1232.14,1334.71 1232.14,1346.93 1232.25,1346.93 1232.25,1334.71 1232.54,1334.71 1232.54,1346.93 1232.58,1346.93 1232.58,1334.71 1232.89,1334.71 \n",
       "  1232.89,1346.93 1232.99,1346.93 1232.99,1359.15 1233.8,1359.15 1233.8,1346.93 1233.96,1346.93 1233.96,1359.15 1234.23,1359.15 1234.23,1346.93 1234.89,1346.93 \n",
       "  1234.89,1334.71 1235.18,1334.71 1235.18,1346.93 1235.45,1346.93 1235.45,1334.71 1235.52,1334.71 1235.52,1322.49 1235.62,1322.49 1235.62,1310.27 1236.26,1310.27 \n",
       "  1236.26,1298.05 1236.31,1298.05 1236.31,1285.83 1236.34,1285.83 1236.34,1298.05 1236.55,1298.05 1236.55,1310.27 1236.58,1310.27 1236.58,1322.49 1237.47,1322.49 \n",
       "  1237.47,1310.27 1237.66,1310.27 1237.66,1322.49 1238.19,1322.49 1238.19,1334.71 1238.46,1334.71 1238.46,1322.49 1239,1322.49 1239,1310.27 1239.04,1310.27 \n",
       "  1239.04,1298.05 1239.36,1298.05 1239.36,1285.83 1239.51,1285.83 1239.51,1298.05 1239.54,1298.05 1239.54,1310.27 1239.54,1310.27 1239.54,1322.49 1239.7,1322.49 \n",
       "  1239.7,1310.27 1239.82,1310.27 1239.82,1322.49 1239.83,1322.49 1239.83,1310.27 1240.1,1310.27 1240.1,1322.49 1240.21,1322.49 1240.21,1334.71 1240.97,1334.71 \n",
       "  1240.97,1322.49 1241.33,1322.49 1241.33,1334.71 1241.67,1334.71 1241.67,1346.93 1241.74,1346.93 1241.74,1359.15 1241.76,1359.15 1241.76,1371.37 1241.83,1371.37 \n",
       "  1241.83,1359.15 1241.98,1359.15 1241.98,1346.93 1242.19,1346.93 1242.19,1359.15 1242.3,1359.15 1242.3,1346.93 1242.65,1346.93 1242.65,1334.71 1242.65,1334.71 \n",
       "  1242.65,1322.49 1242.79,1322.49 1242.79,1310.27 1242.89,1310.27 1242.89,1322.49 1242.97,1322.49 1242.97,1334.71 1243.15,1334.71 1243.15,1322.49 1243.3,1322.49 \n",
       "  1243.3,1310.27 1243.3,1310.27 1243.3,1322.49 1243.63,1322.49 1243.63,1334.71 1243.64,1334.71 1243.64,1322.49 1244.04,1322.49 1244.04,1310.27 1244.19,1310.27 \n",
       "  1244.19,1298.05 1244.26,1298.05 1244.26,1285.83 1245.19,1285.83 1245.19,1298.05 1245.4,1298.05 1245.4,1310.27 1245.47,1310.27 1245.47,1322.49 1245.6,1322.49 \n",
       "  1245.6,1310.27 1245.65,1310.27 1245.65,1322.49 1245.79,1322.49 1245.79,1334.71 1245.9,1334.71 1245.9,1322.49 1247.01,1322.49 1247.01,1334.71 1247.52,1334.71 \n",
       "  1247.52,1346.93 1247.64,1346.93 1247.64,1359.15 1247.78,1359.15 1247.78,1346.93 1248.25,1346.93 1248.25,1334.71 1248.35,1334.71 1248.35,1322.49 1248.39,1322.49 \n",
       "  1248.39,1310.27 1248.43,1310.27 1248.43,1298.05 1248.65,1298.05 1248.65,1285.83 1249.41,1285.83 1249.41,1298.05 1249.67,1298.05 1249.67,1285.83 1249.73,1285.83 \n",
       "  1249.73,1273.61 1249.77,1273.61 1249.77,1285.83 1250.07,1285.83 1250.07,1298.05 1250.2,1298.05 1250.2,1310.27 1250.3,1310.27 1250.3,1322.49 1251.11,1322.49 \n",
       "  1251.11,1310.27 1252.21,1310.27 1252.21,1322.49 1252.32,1322.49 1252.32,1334.71 1252.47,1334.71 1252.47,1346.93 1252.68,1346.93 1252.68,1334.71 1252.84,1334.71 \n",
       "  1252.84,1322.49 1253.59,1322.49 1253.59,1334.71 1253.81,1334.71 1253.81,1322.49 1254.18,1322.49 1254.18,1334.71 1254.38,1334.71 1254.38,1346.93 1254.41,1346.93 \n",
       "  1254.41,1334.71 1254.42,1334.71 1254.42,1322.49 1254.48,1322.49 1254.48,1334.71 1254.78,1334.71 1254.78,1322.49 1254.81,1322.49 1254.81,1310.27 1255.07,1310.27 \n",
       "  1255.07,1298.05 1256.34,1298.05 1256.34,1285.83 1256.86,1285.83 1256.86,1298.05 1257.65,1298.05 1257.65,1310.27 1257.68,1310.27 1257.68,1322.49 1257.91,1322.49 \n",
       "  1257.91,1310.27 1257.98,1310.27 1257.98,1322.49 1258.73,1322.49 1258.73,1310.27 1258.96,1310.27 1258.96,1298.05 1259.63,1298.05 1259.63,1285.83 1259.81,1285.83 \n",
       "  1259.81,1298.05 1259.94,1298.05 1259.94,1285.83 1260.12,1285.83 1260.12,1273.61 1260.35,1273.61 1260.35,1285.83 1260.78,1285.83 1260.78,1298.05 1260.85,1298.05 \n",
       "  1260.85,1310.27 1261.14,1310.27 1261.14,1298.05 1261.91,1298.05 1261.91,1310.27 1262.14,1310.27 1262.14,1298.05 1262.48,1298.05 1262.48,1310.27 1262.65,1310.27 \n",
       "  1262.65,1322.49 1262.89,1322.49 1262.89,1334.71 1264.15,1334.71 1264.15,1322.49 1264.48,1322.49 1264.48,1310.27 1264.53,1310.27 1264.53,1298.05 1264.76,1298.05 \n",
       "  1264.76,1310.27 1265.15,1310.27 1265.15,1298.05 1265.55,1298.05 1265.55,1310.27 1265.63,1310.27 1265.63,1322.49 1265.73,1322.49 1265.73,1334.71 1266.05,1334.71 \n",
       "  1266.05,1322.49 1266.07,1322.49 1266.07,1310.27 1266.25,1310.27 1266.25,1298.05 1266.33,1298.05 1266.33,1285.83 1266.35,1285.83 1266.35,1298.05 1266.38,1298.05 \n",
       "  1266.38,1285.83 1266.83,1285.83 1266.83,1298.05 1267.2,1298.05 1267.2,1285.83 1267.8,1285.83 1267.8,1273.61 1267.91,1273.61 1267.91,1261.39 1267.91,1261.39 \n",
       "  1267.91,1249.17 1267.99,1249.17 1267.99,1236.95 1268.26,1236.95 1268.26,1249.17 1268.46,1249.17 1268.46,1236.95 1269.29,1236.95 1269.29,1249.17 1270.25,1249.17 \n",
       "  1270.25,1236.95 1270.32,1236.95 1270.32,1249.17 1270.38,1249.17 1270.38,1236.95 1270.55,1236.95 1270.55,1249.17 1270.8,1249.17 1270.8,1261.39 1271.36,1261.39 \n",
       "  1271.36,1249.17 1271.46,1249.17 1271.46,1236.95 1271.61,1236.95 1271.61,1224.74 1271.67,1224.74 1271.67,1236.95 1272.99,1236.95 1272.99,1224.74 1273.3,1224.74 \n",
       "  1273.3,1212.52 1273.54,1212.52 1273.54,1224.74 1273.82,1224.74 1273.82,1236.95 1274.09,1236.95 1274.09,1249.17 1274.42,1249.17 1274.42,1261.39 1275.73,1261.39 \n",
       "  1275.73,1273.61 1275.78,1273.61 1275.78,1285.83 1275.89,1285.83 1275.89,1273.61 1276.38,1273.61 1276.38,1285.83 1276.4,1285.83 1276.4,1273.61 1276.75,1273.61 \n",
       "  1276.75,1285.83 1276.77,1285.83 1276.77,1298.05 1277.15,1298.05 1277.15,1310.27 1277.3,1310.27 1277.3,1322.49 1278.58,1322.49 1278.58,1310.27 1278.93,1310.27 \n",
       "  1278.93,1322.49 1279.13,1322.49 1279.13,1334.71 1281.99,1334.71 1281.99,1346.93 1282.91,1346.93 1282.91,1334.71 1282.97,1334.71 1282.97,1346.93 1283.08,1346.93 \n",
       "  1283.08,1334.71 1284.04,1334.71 1284.04,1322.49 1284.45,1322.49 1284.45,1334.71 1284.94,1334.71 1284.94,1346.93 1285.06,1346.93 1285.06,1359.15 1285.61,1359.15 \n",
       "  1285.61,1346.93 1286.26,1346.93 1286.26,1334.71 1286.31,1334.71 1286.31,1346.93 1286.36,1346.93 1286.36,1359.15 1286.78,1359.15 1286.78,1346.93 1286.87,1346.93 \n",
       "  1286.87,1359.15 1287.11,1359.15 1287.11,1371.37 1287.92,1371.37 1287.92,1359.15 1288.6,1359.15 1288.6,1371.37 1288.92,1371.37 1288.92,1383.59 1289.25,1383.59 \n",
       "  1289.25,1371.37 1289.6,1371.37 1289.6,1383.59 1289.81,1383.59 1289.81,1395.81 1289.92,1395.81 1289.92,1408.03 1290.46,1408.03 1290.46,1420.25 1291.21,1420.25 \n",
       "  1291.21,1408.03 1291.39,1408.03 1291.39,1395.81 1291.73,1395.81 1291.73,1383.59 1291.95,1383.59 1291.95,1395.81 1292.5,1395.81 1292.5,1408.03 1293.16,1408.03 \n",
       "  1293.16,1420.25 1293.33,1420.25 1293.33,1408.03 1293.61,1408.03 1293.61,1395.81 1294.71,1395.81 1294.71,1383.59 1294.75,1383.59 1294.75,1371.37 1295.03,1371.37 \n",
       "  1295.03,1383.59 1295.35,1383.59 1295.35,1395.81 1295.46,1395.81 1295.46,1408.03 1295.65,1408.03 1295.65,1395.81 1296.71,1395.81 1296.71,1383.59 1296.84,1383.59 \n",
       "  1296.84,1395.81 1297.38,1395.81 1297.38,1408.03 1297.68,1408.03 1297.68,1395.81 1297.83,1395.81 1297.83,1408.03 1298.17,1408.03 1298.17,1395.81 1298.33,1395.81 \n",
       "  1298.33,1408.03 1298.48,1408.03 1298.48,1395.81 1298.93,1395.81 1298.93,1383.59 1299.22,1383.59 1299.22,1371.37 1300.48,1371.37 1300.48,1359.15 1300.66,1359.15 \n",
       "  1300.66,1371.37 1300.72,1371.37 1300.72,1359.15 1300.91,1359.15 1300.91,1371.37 1301.32,1371.37 1301.32,1359.15 1301.73,1359.15 1301.73,1346.93 1301.74,1346.93 \n",
       "  1301.74,1359.15 1302.02,1359.15 1302.02,1346.93 1302.31,1346.93 1302.31,1359.15 1302.87,1359.15 1302.87,1346.93 1302.99,1346.93 1302.99,1359.15 1303.1,1359.15 \n",
       "  1303.1,1371.37 1303.34,1371.37 1303.34,1383.59 1303.68,1383.59 1303.68,1371.37 1303.89,1371.37 1303.89,1359.15 1303.92,1359.15 1303.92,1346.93 1303.92,1346.93 \n",
       "  1303.92,1359.15 1304.19,1359.15 1304.19,1346.93 1304.51,1346.93 1304.51,1359.15 1305.01,1359.15 1305.01,1346.93 1305.56,1346.93 1305.56,1334.71 1306.79,1334.71 \n",
       "  1306.79,1322.49 1307.27,1322.49 1307.27,1334.71 1307.34,1334.71 1307.34,1322.49 1307.84,1322.49 1307.84,1310.27 1307.98,1310.27 1307.98,1298.05 1308.06,1298.05 \n",
       "  1308.06,1310.27 1308.66,1310.27 1308.66,1298.05 1308.85,1298.05 1308.85,1285.83 1309.09,1285.83 1309.09,1298.05 1310.07,1298.05 1310.07,1285.83 1310.27,1285.83 \n",
       "  1310.27,1273.61 1310.81,1273.61 1310.81,1261.39 1310.88,1261.39 1310.88,1273.61 1311.18,1273.61 1311.18,1261.39 1311.41,1261.39 1311.41,1249.17 1311.53,1249.17 \n",
       "  1311.53,1261.39 1311.63,1261.39 1311.63,1249.17 1311.66,1249.17 1311.66,1236.95 1311.8,1236.95 1311.8,1224.74 1312.94,1224.74 1312.94,1212.52 1313.32,1212.52 \n",
       "  1313.32,1200.3 1313.59,1200.3 1313.59,1212.52 1313.95,1212.52 1313.95,1224.74 1314.03,1224.74 1314.03,1236.95 1314.63,1236.95 1314.63,1224.74 1315.13,1224.74 \n",
       "  1315.13,1212.52 1315.33,1212.52 1315.33,1200.3 1315.66,1200.3 1315.66,1188.08 1316.25,1188.08 1316.25,1200.3 1316.28,1200.3 1316.28,1212.52 1316.58,1212.52 \n",
       "  1316.58,1200.3 1316.59,1200.3 1316.59,1188.08 1316.67,1188.08 1316.67,1175.86 1316.89,1175.86 1316.89,1188.08 1317.18,1188.08 1317.18,1200.3 1317.31,1200.3 \n",
       "  1317.31,1212.52 1317.33,1212.52 1317.33,1200.3 1317.55,1200.3 1317.55,1188.08 1317.56,1188.08 1317.56,1200.3 1317.63,1200.3 1317.63,1212.52 1317.98,1212.52 \n",
       "  1317.98,1200.3 1318.5,1200.3 1318.5,1188.08 1320.49,1188.08 1320.49,1175.86 1321.4,1175.86 1321.4,1163.64 1321.61,1163.64 1321.61,1151.42 1321.79,1151.42 \n",
       "  1321.79,1139.2 1321.94,1139.2 1321.94,1151.42 1321.98,1151.42 1321.98,1163.64 1323,1163.64 1323,1151.42 1323.25,1151.42 1323.25,1163.64 1323.26,1163.64 \n",
       "  1323.26,1175.86 1323.45,1175.86 1323.45,1188.08 1323.91,1188.08 1323.91,1200.3 1323.92,1200.3 1323.92,1188.08 1324.87,1188.08 1324.87,1200.3 1325.68,1200.3 \n",
       "  1325.68,1188.08 1325.68,1188.08 1325.68,1200.3 1325.9,1200.3 1325.9,1212.52 1325.92,1212.52 1325.92,1200.3 1325.96,1200.3 1325.96,1212.52 1326.29,1212.52 \n",
       "  1326.29,1224.74 1326.63,1224.74 1326.63,1236.95 1327.28,1236.95 1327.28,1249.17 1327.32,1249.17 1327.32,1261.39 1327.41,1261.39 1327.41,1273.61 1327.48,1273.61 \n",
       "  1327.48,1285.83 1327.72,1285.83 1327.72,1273.61 1327.75,1273.61 1327.75,1285.83 1327.95,1285.83 1327.95,1273.61 1328.16,1273.61 1328.16,1285.83 1328.75,1285.83 \n",
       "  1328.75,1298.05 1328.97,1298.05 1328.97,1310.27 1329.01,1310.27 1329.01,1298.05 1329.17,1298.05 1329.17,1310.27 1329.32,1310.27 1329.32,1322.49 1329.34,1322.49 \n",
       "  1329.34,1310.27 1329.55,1310.27 1329.55,1298.05 1329.56,1298.05 1329.56,1285.83 1331.02,1285.83 1331.02,1298.05 1332.47,1298.05 1332.47,1310.27 1332.48,1310.27 \n",
       "  1332.48,1298.05 1332.67,1298.05 1332.67,1285.83 1332.68,1285.83 1332.68,1298.05 1333.29,1298.05 1333.29,1310.27 1333.31,1310.27 1333.31,1322.49 1333.46,1322.49 \n",
       "  1333.46,1310.27 1333.64,1310.27 1333.64,1322.49 1334.38,1322.49 1334.38,1310.27 1334.89,1310.27 1334.89,1298.05 1336.22,1298.05 1336.22,1310.27 1336.24,1310.27 \n",
       "  1336.24,1322.49 1336.5,1322.49 1336.5,1310.27 1336.76,1310.27 1336.76,1322.49 1337.01,1322.49 1337.01,1310.27 1337.07,1310.27 1337.07,1322.49 1337.42,1322.49 \n",
       "  1337.42,1334.71 1337.57,1334.71 1337.57,1322.49 1337.72,1322.49 1337.72,1334.71 1338.18,1334.71 1338.18,1346.93 1338.6,1346.93 1338.6,1359.15 1338.66,1359.15 \n",
       "  1338.66,1346.93 1339.82,1346.93 1339.82,1334.71 1340.89,1334.71 1340.89,1346.93 1340.94,1346.93 1340.94,1334.71 1341,1334.71 1341,1322.49 1341.17,1322.49 \n",
       "  1341.17,1334.71 1341.19,1334.71 1341.19,1322.49 1341.36,1322.49 1341.36,1310.27 1341.38,1310.27 1341.38,1298.05 1341.69,1298.05 1341.69,1285.83 1341.83,1285.83 \n",
       "  1341.83,1298.05 1341.98,1298.05 1341.98,1310.27 1342.71,1310.27 1342.71,1322.49 1343.05,1322.49 1343.05,1310.27 1343.21,1310.27 1343.21,1298.05 1343.28,1298.05 \n",
       "  1343.28,1310.27 1343.41,1310.27 1343.41,1322.49 1343.78,1322.49 1343.78,1334.71 1344.22,1334.71 1344.22,1346.93 1344.57,1346.93 1344.57,1359.15 1344.66,1359.15 \n",
       "  1344.66,1371.37 1344.94,1371.37 1344.94,1359.15 1346.37,1359.15 1346.37,1346.93 1346.86,1346.93 1346.86,1359.15 1347.02,1359.15 1347.02,1346.93 1347.33,1346.93 \n",
       "  1347.33,1334.71 1347.56,1334.71 1347.56,1322.49 1347.76,1322.49 1347.76,1334.71 1347.84,1334.71 1347.84,1322.49 1349.29,1322.49 1349.29,1334.71 1349.6,1334.71 \n",
       "  1349.6,1346.93 1350.2,1346.93 1350.2,1359.15 1350.35,1359.15 1350.35,1346.93 1351.28,1346.93 1351.28,1359.15 1351.41,1359.15 1351.41,1371.37 1351.5,1371.37 \n",
       "  1351.5,1383.59 1351.94,1383.59 1351.94,1371.37 1352.09,1371.37 1352.09,1359.15 1352.32,1359.15 1352.32,1371.37 1353.32,1371.37 1353.32,1359.15 1353.67,1359.15 \n",
       "  1353.67,1371.37 1354.21,1371.37 1354.21,1383.59 1355.06,1383.59 1355.06,1371.37 1355.42,1371.37 1355.42,1383.59 1355.6,1383.59 1355.6,1395.81 1355.68,1395.81 \n",
       "  1355.68,1383.59 1356.66,1383.59 1356.66,1371.37 1356.72,1371.37 1356.72,1359.15 1356.83,1359.15 1356.83,1346.93 1356.87,1346.93 1356.87,1334.71 1357.02,1334.71 \n",
       "  1357.02,1322.49 1357.27,1322.49 1357.27,1310.27 1357.73,1310.27 1357.73,1298.05 1357.87,1298.05 1357.87,1285.83 1357.93,1285.83 1357.93,1298.05 1358.21,1298.05 \n",
       "  1358.21,1285.83 1358.58,1285.83 1358.58,1273.61 1358.76,1273.61 1358.76,1285.83 1358.91,1285.83 1358.91,1298.05 1359.14,1298.05 1359.14,1285.83 1359.32,1285.83 \n",
       "  1359.32,1298.05 1359.44,1298.05 1359.44,1285.83 1359.86,1285.83 1359.86,1273.61 1360.97,1273.61 1360.97,1261.39 1361.13,1261.39 1361.13,1273.61 1362.26,1273.61 \n",
       "  1362.26,1261.39 1362.85,1261.39 1362.85,1249.17 1363.25,1249.17 1363.25,1236.95 1363.49,1236.95 1363.49,1224.74 1364.08,1224.74 1364.08,1212.52 1364.18,1212.52 \n",
       "  1364.18,1224.74 1364.4,1224.74 1364.4,1236.95 1365.19,1236.95 1365.19,1249.17 1365.44,1249.17 1365.44,1236.95 1365.5,1236.95 1365.5,1249.17 1365.6,1249.17 \n",
       "  1365.6,1261.39 1365.74,1261.39 1365.74,1273.61 1365.77,1273.61 1365.77,1285.83 1366.01,1285.83 1366.01,1298.05 1366.58,1298.05 1366.58,1285.83 1366.76,1285.83 \n",
       "  1366.76,1273.61 1366.94,1273.61 1366.94,1285.83 1366.96,1285.83 1366.96,1298.05 1367.45,1298.05 1367.45,1310.27 1367.51,1310.27 1367.51,1322.49 1367.9,1322.49 \n",
       "  1367.9,1334.71 1367.93,1334.71 1367.93,1322.49 1368.27,1322.49 1368.27,1334.71 1368.32,1334.71 1368.32,1346.93 1368.78,1346.93 1368.78,1359.15 1369.48,1359.15 \n",
       "  1369.48,1371.37 1369.5,1371.37 1369.5,1383.59 1369.57,1383.59 1369.57,1395.81 1369.72,1395.81 1369.72,1383.59 1370.2,1383.59 1370.2,1371.37 1370.66,1371.37 \n",
       "  1370.66,1383.59 1370.66,1383.59 1370.66,1371.37 1370.94,1371.37 1370.94,1359.15 1371.36,1359.15 1371.36,1371.37 1371.56,1371.37 1371.56,1383.59 1371.88,1383.59 \n",
       "  1371.88,1395.81 1372.02,1395.81 1372.02,1383.59 1372.03,1383.59 1372.03,1371.37 1372.32,1371.37 1372.32,1359.15 1372.76,1359.15 1372.76,1371.37 1372.9,1371.37 \n",
       "  1372.9,1359.15 1374.13,1359.15 1374.13,1346.93 1374.22,1346.93 1374.22,1359.15 1374.26,1359.15 1374.26,1371.37 1374.4,1371.37 1374.4,1359.15 1374.55,1359.15 \n",
       "  1374.55,1371.37 1374.76,1371.37 1374.76,1383.59 1374.82,1383.59 1374.82,1395.81 1374.88,1395.81 1374.88,1383.59 1375.8,1383.59 1375.8,1371.37 1375.86,1371.37 \n",
       "  1375.86,1359.15 1376.52,1359.15 1376.52,1371.37 1376.67,1371.37 1376.67,1359.15 1377.25,1359.15 1377.25,1371.37 1377.94,1371.37 1377.94,1383.59 1377.97,1383.59 \n",
       "  1377.97,1371.37 1378.22,1371.37 1378.22,1383.59 1378.34,1383.59 1378.34,1371.37 1378.44,1371.37 1378.44,1383.59 1380.16,1383.59 1380.16,1371.37 1380.75,1371.37 \n",
       "  1380.75,1359.15 1382.43,1359.15 1382.43,1371.37 1382.76,1371.37 1382.76,1383.59 1383.06,1383.59 1383.06,1371.37 1383.33,1371.37 1383.33,1359.15 1384.45,1359.15 \n",
       "  1384.45,1346.93 1385.41,1346.93 1385.41,1334.71 1386.11,1334.71 1386.11,1322.49 1386.51,1322.49 1386.51,1334.71 1387.6,1334.71 1387.6,1322.49 1388.59,1322.49 \n",
       "  1388.59,1310.27 1388.94,1310.27 1388.94,1298.05 1389.51,1298.05 1389.51,1310.27 1390.17,1310.27 1390.17,1322.49 1390.27,1322.49 1390.27,1310.27 1390.28,1310.27 \n",
       "  1390.28,1298.05 1391.16,1298.05 1391.16,1285.83 1391.17,1285.83 1391.17,1298.05 1391.25,1298.05 1391.25,1285.83 1391.28,1285.83 1391.28,1273.61 1391.55,1273.61 \n",
       "  1391.55,1261.39 1391.59,1261.39 1391.59,1273.61 1391.68,1273.61 1391.68,1285.83 1391.87,1285.83 1391.87,1273.61 1392.29,1273.61 1392.29,1285.83 1392.31,1285.83 \n",
       "  1392.31,1273.61 1392.52,1273.61 1392.52,1261.39 1392.97,1261.39 1392.97,1249.17 1393.54,1249.17 1393.54,1236.95 1393.68,1236.95 1393.68,1249.17 1393.77,1249.17 \n",
       "  1393.77,1261.39 1395.58,1261.39 1395.58,1249.17 1396.05,1249.17 1396.05,1261.39 1396.19,1261.39 1396.19,1249.17 1396.2,1249.17 1396.2,1236.95 1396.47,1236.95 \n",
       "  1396.47,1224.74 1396.55,1224.74 1396.55,1212.52 1396.78,1212.52 1396.78,1224.74 1396.92,1224.74 1396.92,1236.95 1397.07,1236.95 1397.07,1224.74 1397.82,1224.74 \n",
       "  1397.82,1236.95 1398.27,1236.95 1398.27,1249.17 1398.46,1249.17 1398.46,1236.95 1398.73,1236.95 1398.73,1249.17 1398.86,1249.17 1398.86,1261.39 1399.2,1261.39 \n",
       "  1399.2,1273.61 1400.04,1273.61 1400.04,1285.83 1400.62,1285.83 1400.62,1298.05 1400.73,1298.05 1400.73,1285.83 1401.32,1285.83 1401.32,1273.61 1401.61,1273.61 \n",
       "  1401.61,1285.83 1401.8,1285.83 1401.8,1298.05 1401.85,1298.05 1401.85,1285.83 1402.23,1285.83 1402.23,1298.05 1402.52,1298.05 1402.52,1310.27 1403.77,1310.27 \n",
       "  1403.77,1322.49 1403.77,1322.49 1403.77,1334.71 1403.82,1334.71 1403.82,1346.93 1404.31,1346.93 1404.31,1334.71 1404.9,1334.71 1404.9,1346.93 1404.95,1346.93 \n",
       "  1404.95,1359.15 1405.77,1359.15 1405.77,1346.93 1406.16,1346.93 1406.16,1334.71 1406.32,1334.71 1406.32,1322.49 1406.72,1322.49 1406.72,1334.71 1406.81,1334.71 \n",
       "  1406.81,1322.49 1406.91,1322.49 1406.91,1334.71 1407.12,1334.71 1407.12,1346.93 1408.35,1346.93 1408.35,1334.71 1408.91,1334.71 1408.91,1322.49 1409.16,1322.49 \n",
       "  1409.16,1334.71 1409.37,1334.71 1409.37,1322.49 1409.39,1322.49 1409.39,1310.27 1410.48,1310.27 1410.48,1298.05 1410.9,1298.05 1410.9,1310.27 1411.25,1310.27 \n",
       "  1411.25,1298.05 1413.33,1298.05 1413.33,1285.83 1413.51,1285.83 1413.51,1298.05 1413.53,1298.05 1413.53,1285.83 1414.05,1285.83 1414.05,1298.05 1414.49,1298.05 \n",
       "  1414.49,1285.83 1415.01,1285.83 1415.01,1273.61 1415.37,1273.61 1415.37,1285.83 1415.54,1285.83 1415.54,1273.61 1415.94,1273.61 1415.94,1285.83 1416.01,1285.83 \n",
       "  1416.01,1298.05 1416.56,1298.05 1416.56,1285.83 1416.83,1285.83 1416.83,1298.05 1416.96,1298.05 1416.96,1285.83 1417.57,1285.83 1417.57,1298.05 1417.76,1298.05 \n",
       "  1417.76,1285.83 1418.13,1285.83 1418.13,1298.05 1418.27,1298.05 1418.27,1285.83 1418.51,1285.83 1418.51,1273.61 1418.6,1273.61 1418.6,1261.39 1420.26,1261.39 \n",
       "  1420.26,1249.17 1420.92,1249.17 1420.92,1261.39 1420.93,1261.39 1420.93,1273.61 1421.54,1273.61 1421.54,1261.39 1421.56,1261.39 1421.56,1273.61 1421.67,1273.61 \n",
       "  1421.67,1285.83 1422.07,1285.83 1422.07,1298.05 1422.32,1298.05 1422.32,1285.83 1423.41,1285.83 1423.41,1298.05 1423.74,1298.05 1423.74,1310.27 1424.08,1310.27 \n",
       "  1424.08,1298.05 1425.51,1298.05 1425.51,1310.27 1425.98,1310.27 1425.98,1322.49 1426.05,1322.49 1426.05,1310.27 1426.14,1310.27 1426.14,1298.05 1426.29,1298.05 \n",
       "  1426.29,1285.83 1426.95,1285.83 1426.95,1298.05 1427.08,1298.05 1427.08,1285.83 1427.32,1285.83 1427.32,1298.05 1428.2,1298.05 1428.2,1310.27 1428.73,1310.27 \n",
       "  1428.73,1322.49 1428.76,1322.49 1428.76,1310.27 1429.59,1310.27 1429.59,1322.49 1429.87,1322.49 1429.87,1310.27 1430,1310.27 1430,1298.05 1430.63,1298.05 \n",
       "  1430.63,1285.83 1432.6,1285.83 1432.6,1298.05 1432.62,1298.05 1432.62,1310.27 1432.81,1310.27 1432.81,1298.05 1433.49,1298.05 1433.49,1285.83 1433.72,1285.83 \n",
       "  1433.72,1273.61 1433.81,1273.61 1433.81,1285.83 1433.99,1285.83 1433.99,1273.61 1434.01,1273.61 1434.01,1261.39 1434.87,1261.39 1434.87,1249.17 1435.11,1249.17 \n",
       "  1435.11,1261.39 1435.34,1261.39 1435.34,1273.61 1435.44,1273.61 1435.44,1261.39 1435.46,1261.39 1435.46,1273.61 1435.67,1273.61 1435.67,1285.83 1436.07,1285.83 \n",
       "  1436.07,1298.05 1436.81,1298.05 1436.81,1285.83 1436.92,1285.83 1436.92,1273.61 1436.96,1273.61 1436.96,1261.39 1438.85,1261.39 1438.85,1273.61 1439.37,1273.61 \n",
       "  1439.37,1261.39 1439.84,1261.39 1439.84,1249.17 1439.9,1249.17 1439.9,1261.39 1440.02,1261.39 1440.02,1273.61 1440.36,1273.61 1440.36,1261.39 1440.49,1261.39 \n",
       "  1440.49,1249.17 1440.61,1249.17 1440.61,1236.95 1441.23,1236.95 1441.23,1249.17 1441.27,1249.17 1441.27,1261.39 1441.39,1261.39 1441.39,1249.17 1441.91,1249.17 \n",
       "  1441.91,1236.95 1441.98,1236.95 1441.98,1249.17 1442.84,1249.17 1442.84,1236.95 1443.15,1236.95 1443.15,1249.17 1444.18,1249.17 1444.18,1236.95 1444.49,1236.95 \n",
       "  1444.49,1249.17 1444.51,1249.17 1444.51,1261.39 1444.82,1261.39 1444.82,1273.61 1445.04,1273.61 1445.04,1261.39 1445.17,1261.39 1445.17,1249.17 1445.86,1249.17 \n",
       "  1445.86,1236.95 1446.31,1236.95 1446.31,1249.17 1447.74,1249.17 1447.74,1261.39 1447.83,1261.39 1447.83,1249.17 1447.86,1249.17 1447.86,1261.39 1447.88,1261.39 \n",
       "  1447.88,1273.61 1448.17,1273.61 1448.17,1285.83 1448.43,1285.83 1448.43,1298.05 1448.83,1298.05 1448.83,1285.83 1448.88,1285.83 1448.88,1298.05 1449.03,1298.05 \n",
       "  1449.03,1310.27 1449.27,1310.27 1449.27,1298.05 1449.42,1298.05 1449.42,1310.27 1449.48,1310.27 1449.48,1298.05 1450.28,1298.05 1450.28,1285.83 1450.43,1285.83 \n",
       "  1450.43,1298.05 1450.53,1298.05 1450.53,1310.27 1451.48,1310.27 1451.48,1298.05 1451.83,1298.05 1451.83,1285.83 1452.3,1285.83 1452.3,1298.05 1453.18,1298.05 \n",
       "  1453.18,1285.83 1453.7,1285.83 1453.7,1298.05 1453.77,1298.05 1453.77,1285.83 1454.19,1285.83 1454.19,1273.61 1454.33,1273.61 1454.33,1285.83 1455.99,1285.83 \n",
       "  1455.99,1273.61 1456.01,1273.61 1456.01,1261.39 1456.16,1261.39 1456.16,1273.61 1456.42,1273.61 1456.42,1261.39 1456.8,1261.39 1456.8,1273.61 1458.99,1273.61 \n",
       "  1458.99,1285.83 1460.61,1285.83 1460.61,1273.61 1462.06,1273.61 1462.06,1261.39 1462.75,1261.39 1462.75,1273.61 1463.02,1273.61 1463.02,1285.83 1463.13,1285.83 \n",
       "  1463.13,1273.61 1463.35,1273.61 1463.35,1261.39 1464.15,1261.39 1464.15,1249.17 1464.39,1249.17 1464.39,1236.95 1464.93,1236.95 1464.93,1224.74 1465.61,1224.74 \n",
       "  1465.61,1236.95 1465.87,1236.95 1465.87,1224.74 1466.13,1224.74 1466.13,1236.95 1466.14,1236.95 1466.14,1224.74 1466.67,1224.74 1466.67,1236.95 1466.76,1236.95 \n",
       "  1466.76,1224.74 1467.41,1224.74 1467.41,1212.52 1467.76,1212.52 1467.76,1200.3 1469.13,1200.3 1469.13,1212.52 1469.22,1212.52 1469.22,1224.74 1469.34,1224.74 \n",
       "  1469.34,1236.95 1469.69,1236.95 1469.69,1249.17 1469.71,1249.17 1469.71,1236.95 1469.76,1236.95 1469.76,1224.74 1470.32,1224.74 1470.32,1212.52 1470.46,1212.52 \n",
       "  1470.46,1200.3 1470.49,1200.3 1470.49,1188.08 1470.72,1188.08 1470.72,1175.86 1471.03,1175.86 1471.03,1163.64 1471.41,1163.64 1471.41,1151.42 1471.42,1151.42 \n",
       "  1471.42,1139.2 1471.67,1139.2 1471.67,1151.42 1472.2,1151.42 1472.2,1139.2 1472.2,1139.2 1472.2,1151.42 1472.73,1151.42 1472.73,1163.64 1473.15,1163.64 \n",
       "  1473.15,1175.86 1474.43,1175.86 1474.43,1163.64 1475.02,1163.64 1475.02,1175.86 1475.48,1175.86 1475.48,1188.08 1475.68,1188.08 1475.68,1200.3 1475.69,1200.3 \n",
       "  1475.69,1188.08 1476.35,1188.08 1476.35,1175.86 1476.82,1175.86 1476.82,1163.64 1476.83,1163.64 1476.83,1151.42 1477.38,1151.42 1477.38,1163.64 1478.34,1163.64 \n",
       "  1478.34,1151.42 1478.45,1151.42 1478.45,1139.2 1478.67,1139.2 1478.67,1151.42 1478.76,1151.42 1478.76,1139.2 1479.14,1139.2 1479.14,1126.98 1479.37,1126.98 \n",
       "  1479.37,1114.76 1479.54,1114.76 1479.54,1102.54 1479.6,1102.54 1479.6,1090.32 1479.86,1090.32 1479.86,1102.54 1479.88,1102.54 1479.88,1114.76 1480.32,1114.76 \n",
       "  1480.32,1126.98 1480.58,1126.98 1480.58,1139.2 1480.94,1139.2 1480.94,1126.98 1481.1,1126.98 1481.1,1114.76 1481.13,1114.76 1481.13,1126.98 1481.37,1126.98 \n",
       "  1481.37,1114.76 1481.83,1114.76 1481.83,1102.54 1481.98,1102.54 1481.98,1114.76 1482.39,1114.76 1482.39,1126.98 1482.53,1126.98 1482.53,1139.2 1483.61,1139.2 \n",
       "  1483.61,1126.98 1483.92,1126.98 1483.92,1114.76 1484.53,1114.76 1484.53,1126.98 1484.65,1126.98 1484.65,1139.2 1484.83,1139.2 1484.83,1151.42 1486.08,1151.42 \n",
       "  1486.08,1139.2 1486.46,1139.2 1486.46,1126.98 1486.68,1126.98 1486.68,1139.2 1487.24,1139.2 1487.24,1126.98 1487.41,1126.98 1487.41,1139.2 1487.52,1139.2 \n",
       "  1487.52,1151.42 1487.55,1151.42 1487.55,1139.2 1487.73,1139.2 1487.73,1126.98 1488.72,1126.98 1488.72,1139.2 1488.86,1139.2 1488.86,1126.98 1489.06,1126.98 \n",
       "  1489.06,1114.76 1489.4,1114.76 1489.4,1102.54 1489.5,1102.54 1489.5,1114.76 1489.54,1114.76 1489.54,1102.54 1490.13,1102.54 1490.13,1114.76 1490.99,1114.76 \n",
       "  1490.99,1102.54 1491.89,1102.54 1491.89,1114.76 1491.92,1114.76 1491.92,1126.98 1492.35,1126.98 1492.35,1139.2 1492.44,1139.2 1492.44,1126.98 1492.48,1126.98 \n",
       "  1492.48,1114.76 1492.99,1114.76 1492.99,1102.54 1493.3,1102.54 1493.3,1114.76 1493.56,1114.76 1493.56,1126.98 1494.02,1126.98 1494.02,1114.76 1494.91,1114.76 \n",
       "  1494.91,1126.98 1495.18,1126.98 1495.18,1114.76 1495.54,1114.76 1495.54,1126.98 1496.07,1126.98 1496.07,1114.76 1496.73,1114.76 1496.73,1102.54 1499.06,1102.54 \n",
       "  1499.06,1090.32 1499.34,1090.32 1499.34,1078.1 1499.82,1078.1 1499.82,1065.88 1499.93,1065.88 1499.93,1078.1 1499.96,1078.1 1499.96,1090.32 1500.05,1090.32 \n",
       "  1500.05,1078.1 1500.21,1078.1 1500.21,1065.88 1501.07,1065.88 1501.07,1078.1 1501.37,1078.1 1501.37,1090.32 1501.51,1090.32 1501.51,1102.54 1501.88,1102.54 \n",
       "  1501.88,1090.32 1501.97,1090.32 1501.97,1078.1 1502.8,1078.1 1502.8,1090.32 1502.84,1090.32 1502.84,1102.54 1503.11,1102.54 1503.11,1114.76 1503.59,1114.76 \n",
       "  1503.59,1102.54 1505.06,1102.54 1505.06,1114.76 1505.1,1114.76 1505.1,1102.54 1505.1,1102.54 1505.1,1114.76 1506.3,1114.76 1506.3,1126.98 1506.94,1126.98 \n",
       "  1506.94,1114.76 1507.22,1114.76 1507.22,1126.98 1507.68,1126.98 1507.68,1114.76 1508.64,1114.76 1508.64,1102.54 1509.01,1102.54 1509.01,1114.76 1509.31,1114.76 \n",
       "  1509.31,1102.54 1509.97,1102.54 1509.97,1114.76 1510.43,1114.76 1510.43,1126.98 1511.52,1126.98 1511.52,1139.2 1511.6,1139.2 1511.6,1126.98 1512.62,1126.98 \n",
       "  1512.62,1139.2 1512.71,1139.2 1512.71,1151.42 1512.85,1151.42 1512.85,1163.64 1513.46,1163.64 1513.46,1175.86 1513.61,1175.86 1513.61,1188.08 1513.81,1188.08 \n",
       "  1513.81,1200.3 1514.53,1200.3 1514.53,1212.52 1514.57,1212.52 1514.57,1200.3 1514.98,1200.3 1514.98,1212.52 1515.68,1212.52 1515.68,1224.74 1516.26,1224.74 \n",
       "  1516.26,1236.95 1516.47,1236.95 1516.47,1224.74 1516.79,1224.74 1516.79,1236.95 1517.22,1236.95 1517.22,1249.17 1517.29,1249.17 1517.29,1236.95 1517.42,1236.95 \n",
       "  1517.42,1249.17 1517.51,1249.17 1517.51,1261.39 1517.88,1261.39 1517.88,1273.61 1518.29,1273.61 1518.29,1285.83 1519.01,1285.83 1519.01,1273.61 1519.13,1273.61 \n",
       "  1519.13,1285.83 1519.36,1285.83 1519.36,1273.61 1519.42,1273.61 1519.42,1285.83 1519.54,1285.83 1519.54,1273.61 1519.68,1273.61 1519.68,1285.83 1520.16,1285.83 \n",
       "  1520.16,1273.61 1520.16,1273.61 1520.16,1261.39 1520.32,1261.39 1520.32,1249.17 1520.74,1249.17 1520.74,1236.95 1520.89,1236.95 1520.89,1249.17 1521.15,1249.17 \n",
       "  1521.15,1236.95 1521.47,1236.95 1521.47,1249.17 1521.66,1249.17 1521.66,1261.39 1522.25,1261.39 1522.25,1273.61 1522.46,1273.61 1522.46,1261.39 1522.59,1261.39 \n",
       "  1522.59,1249.17 1523.1,1249.17 1523.1,1261.39 1523.48,1261.39 1523.48,1273.61 1523.56,1273.61 1523.56,1261.39 1524.01,1261.39 1524.01,1273.61 1524.17,1273.61 \n",
       "  1524.17,1285.83 1524.59,1285.83 1524.59,1273.61 1524.92,1273.61 1524.92,1261.39 1525.03,1261.39 1525.03,1273.61 1525.29,1273.61 1525.29,1285.83 1525.55,1285.83 \n",
       "  1525.55,1298.05 1525.7,1298.05 1525.7,1285.83 1526.19,1285.83 1526.19,1298.05 1527.61,1298.05 1527.61,1285.83 1528.75,1285.83 1528.75,1298.05 1529.2,1298.05 \n",
       "  1529.2,1310.27 1529.58,1310.27 1529.58,1322.49 1529.84,1322.49 1529.84,1310.27 1530.06,1310.27 1530.06,1298.05 1530.46,1298.05 1530.46,1285.83 1530.77,1285.83 \n",
       "  1530.77,1273.61 1531.14,1273.61 1531.14,1261.39 1531.18,1261.39 1531.18,1273.61 1531.44,1273.61 1531.44,1285.83 1531.52,1285.83 1531.52,1273.61 1531.61,1273.61 \n",
       "  1531.61,1261.39 1531.98,1261.39 1531.98,1273.61 1532.36,1273.61 1532.36,1285.83 1533.09,1285.83 1533.09,1273.61 1533.36,1273.61 1533.36,1285.83 1533.73,1285.83 \n",
       "  1533.73,1298.05 1534.57,1298.05 1534.57,1310.27 1535.24,1310.27 1535.24,1322.49 1535.57,1322.49 1535.57,1310.27 1535.8,1310.27 1535.8,1298.05 1535.81,1298.05 \n",
       "  1535.81,1285.83 1535.81,1285.83 1535.81,1273.61 1536.14,1273.61 1536.14,1285.83 1536.45,1285.83 1536.45,1273.61 1536.75,1273.61 1536.75,1261.39 1536.81,1261.39 \n",
       "  1536.81,1249.17 1537.12,1249.17 1537.12,1261.39 1537.45,1261.39 1537.45,1273.61 1537.48,1273.61 1537.48,1285.83 1537.75,1285.83 1537.75,1273.61 1537.78,1273.61 \n",
       "  1537.78,1285.83 1538.28,1285.83 1538.28,1298.05 1538.46,1298.05 1538.46,1310.27 1538.65,1310.27 1538.65,1298.05 1539.21,1298.05 1539.21,1285.83 1539.33,1285.83 \n",
       "  1539.33,1298.05 1539.4,1298.05 1539.4,1285.83 1540,1285.83 1540,1273.61 1540.34,1273.61 1540.34,1261.39 1540.45,1261.39 1540.45,1273.61 1540.48,1273.61 \n",
       "  1540.48,1285.83 1540.79,1285.83 1540.79,1298.05 1540.89,1298.05 1540.89,1285.83 1540.91,1285.83 1540.91,1298.05 1541.5,1298.05 1541.5,1310.27 1541.56,1310.27 \n",
       "  1541.56,1298.05 1541.64,1298.05 1541.64,1310.27 1542.02,1310.27 1542.02,1298.05 1542.35,1298.05 1542.35,1310.27 1542.41,1310.27 1542.41,1322.49 1542.55,1322.49 \n",
       "  1542.55,1334.71 1542.76,1334.71 1542.76,1346.93 1543.07,1346.93 1543.07,1334.71 1543.43,1334.71 1543.43,1322.49 1543.6,1322.49 1543.6,1334.71 1543.7,1334.71 \n",
       "  1543.7,1346.93 1544.37,1346.93 1544.37,1334.71 1544.73,1334.71 1544.73,1346.93 1545,1346.93 1545,1359.15 1545.5,1359.15 1545.5,1346.93 1545.78,1346.93 \n",
       "  1545.78,1334.71 1546.01,1334.71 1546.01,1346.93 1546.1,1346.93 1546.1,1359.15 1546.85,1359.15 1546.85,1346.93 1547.77,1346.93 1547.77,1359.15 1547.8,1359.15 \n",
       "  1547.8,1371.37 1548.23,1371.37 1548.23,1383.59 1548.61,1383.59 1548.61,1371.37 1549,1371.37 1549,1359.15 1549.69,1359.15 1549.69,1371.37 1549.93,1371.37 \n",
       "  1549.93,1359.15 1551.29,1359.15 1551.29,1346.93 1551.38,1346.93 1551.38,1359.15 1551.86,1359.15 1551.86,1371.37 1551.88,1371.37 1551.88,1383.59 1552.52,1383.59 \n",
       "  1552.52,1371.37 1553.98,1371.37 1553.98,1359.15 1554.84,1359.15 1554.84,1371.37 1554.88,1371.37 1554.88,1359.15 1554.94,1359.15 1554.94,1371.37 1554.99,1371.37 \n",
       "  1554.99,1359.15 1555,1359.15 1555,1371.37 1555.05,1371.37 1555.05,1383.59 1555.31,1383.59 1555.31,1371.37 1555.84,1371.37 1555.84,1359.15 1555.95,1359.15 \n",
       "  1555.95,1371.37 1556.02,1371.37 1556.02,1383.59 1556.51,1383.59 1556.51,1371.37 1556.67,1371.37 1556.67,1359.15 1557.13,1359.15 1557.13,1371.37 1557.59,1371.37 \n",
       "  1557.59,1383.59 1557.65,1383.59 1557.65,1371.37 1557.89,1371.37 1557.89,1359.15 1557.9,1359.15 1557.9,1346.93 1558.11,1346.93 1558.11,1359.15 1558.96,1359.15 \n",
       "  1558.96,1371.37 1559.4,1371.37 1559.4,1359.15 1559.56,1359.15 1559.56,1371.37 1560.63,1371.37 1560.63,1359.15 1560.65,1359.15 1560.65,1371.37 1560.73,1371.37 \n",
       "  1560.73,1383.59 1560.93,1383.59 1560.93,1395.81 1561.22,1395.81 1561.22,1408.03 1561.27,1408.03 1561.27,1395.81 1561.32,1395.81 1561.32,1408.03 1561.5,1408.03 \n",
       "  1561.5,1420.25 1561.67,1420.25 1561.67,1432.47 1561.85,1432.47 1561.85,1444.69 1561.87,1444.69 1561.87,1432.47 1562.67,1432.47 1562.67,1444.69 1562.83,1444.69 \n",
       "  1562.83,1456.91 1563.46,1456.91 1563.46,1444.69 1563.6,1444.69 1563.6,1456.91 1564.33,1456.91 1564.33,1444.69 1564.59,1444.69 1564.59,1456.91 1565.01,1456.91 \n",
       "  1565.01,1444.69 1565.22,1444.69 1565.22,1456.91 1565.42,1456.91 1565.42,1444.69 1566.24,1444.69 1566.24,1456.91 1566.41,1456.91 1566.41,1444.69 1566.46,1444.69 \n",
       "  1566.46,1432.47 1566.49,1432.47 1566.49,1444.69 1566.51,1444.69 1566.51,1432.47 1566.56,1432.47 1566.56,1420.25 1566.73,1420.25 1566.73,1432.47 1567.39,1432.47 \n",
       "  1567.39,1444.69 1567.47,1444.69 1567.47,1432.47 1567.52,1432.47 1567.52,1444.69 1568.02,1444.69 1568.02,1456.91 1568.48,1456.91 1568.48,1444.69 1568.51,1444.69 \n",
       "  1568.51,1456.91 1568.6,1456.91 1568.6,1444.69 1568.89,1444.69 1568.89,1432.47 1570.43,1432.47 1570.43,1444.69 1570.63,1444.69 1570.63,1456.91 1570.89,1456.91 \n",
       "  1570.89,1444.69 1571.78,1444.69 1571.78,1432.47 1572.25,1432.47 1572.25,1444.69 1572.27,1444.69 1572.27,1432.47 1572.41,1432.47 1572.41,1420.25 1572.6,1420.25 \n",
       "  1572.6,1408.03 1573.36,1408.03 1573.36,1420.25 1573.43,1420.25 1573.43,1432.47 1573.45,1432.47 1573.45,1444.69 1573.92,1444.69 1573.92,1432.47 1574,1432.47 \n",
       "  1574,1420.25 1574.36,1420.25 1574.36,1408.03 1575.28,1408.03 1575.28,1395.81 1575.32,1395.81 1575.32,1408.03 1576.1,1408.03 1576.1,1420.25 1576.73,1420.25 \n",
       "  1576.73,1408.03 1576.93,1408.03 1576.93,1395.81 1577.23,1395.81 1577.23,1383.59 1577.49,1383.59 1577.49,1371.37 1578.06,1371.37 1578.06,1359.15 1578.75,1359.15 \n",
       "  1578.75,1371.37 1579.65,1371.37 1579.65,1359.15 1580.17,1359.15 1580.17,1371.37 1580.42,1371.37 1580.42,1359.15 1580.78,1359.15 1580.78,1371.37 1581.08,1371.37 \n",
       "  1581.08,1359.15 1581.2,1359.15 1581.2,1346.93 1581.92,1346.93 1581.92,1334.71 1582.01,1334.71 1582.01,1322.49 1582.17,1322.49 1582.17,1310.27 1583,1310.27 \n",
       "  1583,1298.05 1583.14,1298.05 1583.14,1285.83 1583.62,1285.83 1583.62,1298.05 1584.06,1298.05 1584.06,1285.83 1584.07,1285.83 1584.07,1273.61 1584.23,1273.61 \n",
       "  1584.23,1261.39 1584.52,1261.39 1584.52,1249.17 1585.15,1249.17 1585.15,1261.39 1585.17,1261.39 1585.17,1249.17 1585.18,1249.17 1585.18,1236.95 1585.79,1236.95 \n",
       "  1585.79,1249.17 1585.79,1249.17 1585.79,1236.95 1585.87,1236.95 1585.87,1224.74 1586.38,1224.74 1586.38,1212.52 1586.5,1212.52 1586.5,1200.3 1586.53,1200.3 \n",
       "  1586.53,1188.08 1586.57,1188.08 1586.57,1175.86 1586.64,1175.86 1586.64,1163.64 1588.17,1163.64 1588.17,1175.86 1589.38,1175.86 1589.38,1188.08 1589.42,1188.08 \n",
       "  1589.42,1175.86 1589.69,1175.86 1589.69,1163.64 1590.16,1163.64 1590.16,1151.42 1590.36,1151.42 1590.36,1139.2 1590.59,1139.2 1590.59,1151.42 1591.45,1151.42 \n",
       "  1591.45,1139.2 1591.89,1139.2 1591.89,1126.98 1591.95,1126.98 1591.95,1114.76 1592,1114.76 1592,1102.54 1592.15,1102.54 1592.15,1114.76 1592.61,1114.76 \n",
       "  1592.61,1126.98 1592.89,1126.98 1592.89,1139.2 1593.48,1139.2 1593.48,1126.98 1593.8,1126.98 1593.8,1114.76 1594.14,1114.76 1594.14,1126.98 1594.46,1126.98 \n",
       "  1594.46,1114.76 1594.56,1114.76 1594.56,1126.98 1594.65,1126.98 1594.65,1114.76 1594.98,1114.76 1594.98,1126.98 1595.33,1126.98 1595.33,1139.2 1595.4,1139.2 \n",
       "  1595.4,1151.42 1596.05,1151.42 1596.05,1163.64 1596.17,1163.64 1596.17,1175.86 1598.27,1175.86 1598.27,1188.08 1598.55,1188.08 1598.55,1200.3 1598.73,1200.3 \n",
       "  1598.73,1212.52 1598.75,1212.52 1598.75,1224.74 1598.8,1224.74 1598.8,1236.95 1598.95,1236.95 1598.95,1224.74 1600.24,1224.74 1600.24,1212.52 1600.32,1212.52 \n",
       "  1600.32,1200.3 1600.4,1200.3 1600.4,1212.52 1600.5,1212.52 1600.5,1224.74 1600.89,1224.74 1600.89,1236.95 1601.19,1236.95 1601.19,1249.17 1601.31,1249.17 \n",
       "  1601.31,1261.39 1601.56,1261.39 1601.56,1273.61 1602.34,1273.61 1602.34,1261.39 1603.56,1261.39 1603.56,1273.61 1603.69,1273.61 1603.69,1285.83 1603.72,1285.83 \n",
       "  1603.72,1298.05 1603.88,1298.05 1603.88,1285.83 1604.2,1285.83 1604.2,1273.61 1604.45,1273.61 1604.45,1261.39 1604.45,1261.39 1604.45,1249.17 1605.17,1249.17 \n",
       "  1605.17,1261.39 1605.57,1261.39 1605.57,1273.61 1605.61,1273.61 1605.61,1285.83 1605.66,1285.83 1605.66,1298.05 1605.77,1298.05 1605.77,1310.27 1606.18,1310.27 \n",
       "  1606.18,1298.05 1606.31,1298.05 1606.31,1285.83 1608.39,1285.83 1608.39,1298.05 1609.14,1298.05 1609.14,1310.27 1609.16,1310.27 1609.16,1298.05 1609.25,1298.05 \n",
       "  1609.25,1285.83 1610.11,1285.83 1610.11,1273.61 1610.19,1273.61 1610.19,1261.39 1610.49,1261.39 1610.49,1273.61 1610.79,1273.61 1610.79,1285.83 1611.1,1285.83 \n",
       "  1611.1,1273.61 1611.24,1273.61 1611.24,1285.83 1611.29,1285.83 1611.29,1298.05 1611.33,1298.05 1611.33,1285.83 1611.58,1285.83 1611.58,1298.05 1611.94,1298.05 \n",
       "  1611.94,1285.83 1611.99,1285.83 1611.99,1298.05 1612.21,1298.05 1612.21,1310.27 1612.29,1310.27 1612.29,1322.49 1612.56,1322.49 1612.56,1334.71 1612.57,1334.71 \n",
       "  1612.57,1346.93 1613.16,1346.93 1613.16,1334.71 1613.96,1334.71 1613.96,1322.49 1614.12,1322.49 1614.12,1334.71 1614.14,1334.71 1614.14,1346.93 1614.22,1346.93 \n",
       "  1614.22,1359.15 1614.7,1359.15 1614.7,1346.93 1615,1346.93 1615,1334.71 1615.38,1334.71 1615.38,1322.49 1615.62,1322.49 1615.62,1310.27 1615.65,1310.27 \n",
       "  1615.65,1322.49 1615.85,1322.49 1615.85,1334.71 1616.29,1334.71 1616.29,1346.93 1616.79,1346.93 1616.79,1359.15 1617.74,1359.15 1617.74,1346.93 1618.74,1346.93 \n",
       "  1618.74,1359.15 1618.83,1359.15 1618.83,1371.37 1619.52,1371.37 1619.52,1383.59 1619.53,1383.59 1619.53,1395.81 1619.71,1395.81 1619.71,1383.59 1620.15,1383.59 \n",
       "  1620.15,1371.37 1620.37,1371.37 1620.37,1383.59 1621.07,1383.59 1621.07,1395.81 1621.23,1395.81 1621.23,1383.59 1621.62,1383.59 1621.62,1371.37 1621.99,1371.37 \n",
       "  1621.99,1383.59 1622.12,1383.59 1622.12,1371.37 1623.21,1371.37 1623.21,1383.59 1623.22,1383.59 1623.22,1371.37 1623.75,1371.37 1623.75,1383.59 1623.82,1383.59 \n",
       "  1623.82,1395.81 1623.96,1395.81 1623.96,1408.03 1624.65,1408.03 1624.65,1395.81 1625.48,1395.81 1625.48,1383.59 1626.53,1383.59 1626.53,1371.37 1626.86,1371.37 \n",
       "  1626.86,1383.59 1626.9,1383.59 1626.9,1395.81 1627.41,1395.81 1627.41,1408.03 1627.63,1408.03 1627.63,1395.81 1627.65,1395.81 1627.65,1408.03 1627.9,1408.03 \n",
       "  1627.9,1395.81 1628.47,1395.81 1628.47,1383.59 1628.63,1383.59 1628.63,1395.81 1628.96,1395.81 1628.96,1408.03 1628.97,1408.03 1628.97,1420.25 1629.04,1420.25 \n",
       "  1629.04,1408.03 1630,1408.03 1630,1395.81 1630.42,1395.81 1630.42,1383.59 1630.54,1383.59 1630.54,1395.81 1630.59,1395.81 1630.59,1383.59 1630.6,1383.59 \n",
       "  1630.6,1371.37 1631.37,1371.37 1631.37,1359.15 1631.66,1359.15 1631.66,1346.93 1631.8,1346.93 1631.8,1334.71 1632.08,1334.71 1632.08,1322.49 1632.8,1322.49 \n",
       "  1632.8,1334.71 1633.63,1334.71 1633.63,1346.93 1633.63,1346.93 1633.63,1359.15 1633.9,1359.15 1633.9,1371.37 1633.92,1371.37 1633.92,1359.15 1634.32,1359.15 \n",
       "  1634.32,1371.37 1634.46,1371.37 1634.46,1359.15 1634.78,1359.15 1634.78,1346.93 1635,1346.93 1635,1359.15 1635.86,1359.15 1635.86,1371.37 1635.87,1371.37 \n",
       "  1635.87,1359.15 1636.31,1359.15 1636.31,1346.93 1637.65,1346.93 1637.65,1334.71 1638.06,1334.71 1638.06,1346.93 1638.28,1346.93 1638.28,1359.15 1638.32,1359.15 \n",
       "  1638.32,1371.37 1638.34,1371.37 1638.34,1383.59 1638.85,1383.59 1638.85,1371.37 1638.96,1371.37 1638.96,1359.15 1639.14,1359.15 1639.14,1346.93 1639.3,1346.93 \n",
       "  1639.3,1359.15 1639.35,1359.15 1639.35,1371.37 1639.43,1371.37 1639.43,1383.59 1639.53,1383.59 1639.53,1395.81 1639.88,1395.81 1639.88,1383.59 1639.89,1383.59 \n",
       "  1639.89,1371.37 1640.73,1371.37 1640.73,1359.15 1640.83,1359.15 1640.83,1346.93 1640.9,1346.93 1640.9,1334.71 1640.99,1334.71 1640.99,1346.93 1641.18,1346.93 \n",
       "  1641.18,1334.71 1641.46,1334.71 1641.46,1322.49 1642.29,1322.49 1642.29,1310.27 1642.55,1310.27 1642.55,1322.49 1642.77,1322.49 1642.77,1334.71 1642.96,1334.71 \n",
       "  1642.96,1346.93 1643.27,1346.93 1643.27,1334.71 1643.73,1334.71 1643.73,1346.93 1645.2,1346.93 1645.2,1334.71 1645.26,1334.71 1645.26,1322.49 1645.29,1322.49 \n",
       "  1645.29,1310.27 1646.14,1310.27 1646.14,1298.05 1647.15,1298.05 1647.15,1285.83 1647.17,1285.83 1647.17,1298.05 1647.88,1298.05 1647.88,1310.27 1648.02,1310.27 \n",
       "  1648.02,1298.05 1648.71,1298.05 1648.71,1285.83 1649.78,1285.83 1649.78,1273.61 1651.26,1273.61 1651.26,1261.39 1651.32,1261.39 1651.32,1249.17 1651.62,1249.17 \n",
       "  1651.62,1261.39 1652.24,1261.39 1652.24,1249.17 1652.28,1249.17 1652.28,1236.95 1652.86,1236.95 1652.86,1249.17 1652.94,1249.17 1652.94,1236.95 1653.09,1236.95 \n",
       "  1653.09,1224.74 1653.53,1224.74 1653.53,1236.95 1653.8,1236.95 1653.8,1224.74 1653.84,1224.74 1653.84,1236.95 1654.03,1236.95 1654.03,1249.17 1654.29,1249.17 \n",
       "  1654.29,1261.39 1655.36,1261.39 1655.36,1249.17 1655.4,1249.17 1655.4,1261.39 1655.64,1261.39 1655.64,1273.61 1655.9,1273.61 1655.9,1285.83 1656.4,1285.83 \n",
       "  1656.4,1273.61 1657.11,1273.61 1657.11,1285.83 1657.92,1285.83 1657.92,1273.61 1657.96,1273.61 1657.96,1261.39 1658.07,1261.39 1658.07,1273.61 1658.28,1273.61 \n",
       "  1658.28,1261.39 1658.29,1261.39 1658.29,1273.61 1658.86,1273.61 1658.86,1285.83 1659.13,1285.83 1659.13,1273.61 1659.59,1273.61 1659.59,1261.39 1659.69,1261.39 \n",
       "  1659.69,1249.17 1660.11,1249.17 1660.11,1236.95 1660.18,1236.95 1660.18,1224.74 1660.37,1224.74 1660.37,1236.95 1660.41,1236.95 1660.41,1249.17 1660.59,1249.17 \n",
       "  1660.59,1236.95 1661.24,1236.95 1661.24,1249.17 1661.3,1249.17 1661.3,1261.39 1661.51,1261.39 1661.51,1273.61 1662.84,1273.61 1662.84,1261.39 1663.44,1261.39 \n",
       "  1663.44,1249.17 1663.97,1249.17 1663.97,1261.39 1664.16,1261.39 1664.16,1249.17 1664.43,1249.17 1664.43,1261.39 1664.85,1261.39 1664.85,1273.61 1665.09,1273.61 \n",
       "  1665.09,1261.39 1665.88,1261.39 1665.88,1273.61 1666.72,1273.61 1666.72,1261.39 1667.19,1261.39 1667.19,1273.61 1667.4,1273.61 1667.4,1285.83 1667.94,1285.83 \n",
       "  1667.94,1273.61 1668.72,1273.61 1668.72,1261.39 1668.87,1261.39 1668.87,1273.61 1668.96,1273.61 1668.96,1261.39 1669.03,1261.39 1669.03,1273.61 1669.04,1273.61 \n",
       "  1669.04,1261.39 1669.2,1261.39 1669.2,1249.17 1669.47,1249.17 1669.47,1261.39 1669.91,1261.39 1669.91,1273.61 1669.94,1273.61 1669.94,1261.39 1670.19,1261.39 \n",
       "  1670.19,1273.61 1670.74,1273.61 1670.74,1285.83 1671.13,1285.83 1671.13,1298.05 1671.18,1298.05 1671.18,1285.83 1671.29,1285.83 1671.29,1298.05 1671.82,1298.05 \n",
       "  1671.82,1310.27 1672.29,1310.27 1672.29,1322.49 1672.37,1322.49 1672.37,1310.27 1673.04,1310.27 1673.04,1298.05 1673.16,1298.05 1673.16,1285.83 1673.35,1285.83 \n",
       "  1673.35,1273.61 1673.6,1273.61 1673.6,1285.83 1673.77,1285.83 1673.77,1273.61 1673.97,1273.61 1673.97,1285.83 1674.28,1285.83 1674.28,1298.05 1674.55,1298.05 \n",
       "  1674.55,1310.27 1674.63,1310.27 1674.63,1322.49 1674.92,1322.49 1674.92,1334.71 1676.28,1334.71 1676.28,1346.93 1676.28,1346.93 1676.28,1334.71 1677.41,1334.71 \n",
       "  1677.41,1322.49 1677.58,1322.49 1677.58,1310.27 1677.6,1310.27 1677.6,1298.05 1678.18,1298.05 1678.18,1310.27 1678.51,1310.27 1678.51,1322.49 1679.62,1322.49 \n",
       "  1679.62,1310.27 1679.7,1310.27 1679.7,1322.49 1679.86,1322.49 1679.86,1334.71 1680.28,1334.71 1680.28,1346.93 1680.69,1346.93 1680.69,1359.15 1681.17,1359.15 \n",
       "  1681.17,1371.37 1681.69,1371.37 1681.69,1383.59 1683.47,1383.59 1683.47,1395.81 1683.6,1395.81 1683.6,1408.03 1683.68,1408.03 1683.68,1395.81 1683.74,1395.81 \n",
       "  1683.74,1383.59 1684.2,1383.59 1684.2,1395.81 1684.24,1395.81 1684.24,1383.59 1684.32,1383.59 1684.32,1395.81 1685.23,1395.81 1685.23,1383.59 1686.56,1383.59 \n",
       "  1686.56,1371.37 1687.07,1371.37 1687.07,1359.15 1688.05,1359.15 1688.05,1371.37 1688.31,1371.37 1688.31,1359.15 1688.37,1359.15 1688.37,1346.93 1688.38,1346.93 \n",
       "  1688.38,1359.15 1689.12,1359.15 1689.12,1371.37 1689.91,1371.37 1689.91,1383.59 1690.38,1383.59 1690.38,1371.37 1690.43,1371.37 1690.43,1383.59 1690.55,1383.59 \n",
       "  1690.55,1395.81 1691.03,1395.81 1691.03,1383.59 1691.06,1383.59 1691.06,1395.81 1691.12,1395.81 1691.12,1408.03 1691.25,1408.03 1691.25,1420.25 1691.29,1420.25 \n",
       "  1691.29,1408.03 1692.25,1408.03 1692.25,1395.81 1692.39,1395.81 1692.39,1408.03 1692.56,1408.03 1692.56,1420.25 1692.78,1420.25 1692.78,1432.47 1693.85,1432.47 \n",
       "  1693.85,1444.69 1694.78,1444.69 1694.78,1432.47 1694.81,1432.47 1694.81,1420.25 1695.02,1420.25 1695.02,1408.03 1695.48,1408.03 1695.48,1420.25 1695.52,1420.25 \n",
       "  1695.52,1408.03 1695.56,1408.03 1695.56,1420.25 1696.15,1420.25 1696.15,1408.03 1696.18,1408.03 1696.18,1420.25 1696.35,1420.25 1696.35,1432.47 1696.37,1432.47 \n",
       "  1696.37,1444.69 1696.98,1444.69 1696.98,1456.91 1697.41,1456.91 1697.41,1444.69 1697.75,1444.69 1697.75,1456.91 1697.84,1456.91 1697.84,1444.69 1698.72,1444.69 \n",
       "  1698.72,1432.47 1698.87,1432.47 1698.87,1420.25 1699.05,1420.25 1699.05,1432.47 1699.13,1432.47 1699.13,1444.69 1699.16,1444.69 1699.16,1456.91 1699.68,1456.91 \n",
       "  1699.68,1444.69 1699.71,1444.69 1699.71,1456.91 1700.23,1456.91 1700.23,1444.69 1700.31,1444.69 1700.31,1456.91 1701.46,1456.91 1701.46,1444.69 1701.64,1444.69 \n",
       "  1701.64,1432.47 1701.77,1432.47 1701.77,1444.69 1702.38,1444.69 1702.38,1432.47 1702.91,1432.47 1702.91,1420.25 1703.54,1420.25 1703.54,1408.03 1703.84,1408.03 \n",
       "  1703.84,1395.81 1704.63,1395.81 1704.63,1408.03 1704.71,1408.03 1704.71,1420.25 1704.73,1420.25 1704.73,1408.03 1704.78,1408.03 1704.78,1395.81 1705.27,1395.81 \n",
       "  1705.27,1383.59 1705.35,1383.59 1705.35,1395.81 1706.37,1395.81 1706.37,1383.59 1706.58,1383.59 1706.58,1371.37 1706.67,1371.37 1706.67,1383.59 1706.9,1383.59 \n",
       "  1706.9,1371.37 1707.12,1371.37 1707.12,1383.59 1707.61,1383.59 1707.61,1371.37 1708.61,1371.37 1708.61,1359.15 1708.73,1359.15 1708.73,1346.93 1709.84,1346.93 \n",
       "  1709.84,1359.15 1709.95,1359.15 1709.95,1371.37 1710.04,1371.37 1710.04,1359.15 1710.38,1359.15 1710.38,1346.93 1710.49,1346.93 1710.49,1359.15 1711.3,1359.15 \n",
       "  1711.3,1371.37 1711.33,1371.37 1711.33,1383.59 1711.59,1383.59 1711.59,1395.81 1711.6,1395.81 1711.6,1408.03 1711.81,1408.03 1711.81,1420.25 1711.83,1420.25 \n",
       "  1711.83,1408.03 1711.85,1408.03 1711.85,1395.81 1712.04,1395.81 1712.04,1408.03 1712.07,1408.03 1712.07,1420.25 1712.96,1420.25 1712.96,1408.03 1713.12,1408.03 \n",
       "  1713.12,1420.25 1713.25,1420.25 1713.25,1432.47 1713.39,1432.47 1713.39,1420.25 1713.61,1420.25 1713.61,1432.47 1714.76,1432.47 1714.76,1420.25 1714.94,1420.25 \n",
       "  1714.94,1408.03 1715.41,1408.03 1715.41,1395.81 1715.68,1395.81 1715.68,1408.03 1716.13,1408.03 1716.13,1395.81 1716.38,1395.81 1716.38,1408.03 1716.68,1408.03 \n",
       "  1716.68,1420.25 1716.98,1420.25 1716.98,1408.03 1717.56,1408.03 1717.56,1395.81 1717.71,1395.81 1717.71,1383.59 1717.79,1383.59 1717.79,1395.81 1718.56,1395.81 \n",
       "  1718.56,1408.03 1718.75,1408.03 1718.75,1420.25 1719.49,1420.25 1719.49,1432.47 1719.54,1432.47 1719.54,1420.25 1720.27,1420.25 1720.27,1408.03 1720.35,1408.03 \n",
       "  1720.35,1420.25 1720.84,1420.25 1720.84,1408.03 1721.04,1408.03 1721.04,1420.25 1721.36,1420.25 1721.36,1408.03 1721.36,1408.03 1721.36,1395.81 1721.59,1395.81 \n",
       "  1721.59,1383.59 1721.97,1383.59 1721.97,1371.37 1722.49,1371.37 1722.49,1359.15 1722.72,1359.15 1722.72,1346.93 1722.76,1346.93 1722.76,1334.71 1722.83,1334.71 \n",
       "  1722.83,1322.49 1723.05,1322.49 1723.05,1310.27 1723.18,1310.27 1723.18,1322.49 1723.41,1322.49 1723.41,1334.71 1723.41,1334.71 1723.41,1322.49 1723.42,1322.49 \n",
       "  1723.42,1310.27 1723.53,1310.27 1723.53,1298.05 1724.3,1298.05 1724.3,1310.27 1724.82,1310.27 1724.82,1322.49 1725,1322.49 1725,1334.71 1725.66,1334.71 \n",
       "  1725.66,1346.93 1726.41,1346.93 1726.41,1334.71 1726.7,1334.71 1726.7,1346.93 1726.78,1346.93 1726.78,1334.71 1726.79,1334.71 1726.79,1346.93 1726.91,1346.93 \n",
       "  1726.91,1334.71 1726.97,1334.71 1726.97,1322.49 1726.98,1322.49 1726.98,1334.71 1727.8,1334.71 1727.8,1346.93 1727.98,1346.93 1727.98,1334.71 1728.46,1334.71 \n",
       "  1728.46,1346.93 1728.51,1346.93 1728.51,1359.15 1728.6,1359.15 1728.6,1346.93 1728.62,1346.93 1728.62,1359.15 1728.7,1359.15 1728.7,1371.37 1728.86,1371.37 \n",
       "  1728.86,1359.15 1729.09,1359.15 1729.09,1346.93 1729.41,1346.93 1729.41,1359.15 1729.54,1359.15 1729.54,1371.37 1730,1371.37 1730,1383.59 1730.58,1383.59 \n",
       "  1730.58,1395.81 1731.51,1395.81 1731.51,1383.59 1731.62,1383.59 1731.62,1371.37 1731.85,1371.37 1731.85,1359.15 1731.91,1359.15 1731.91,1346.93 1732.07,1346.93 \n",
       "  1732.07,1334.71 1732.27,1334.71 1732.27,1322.49 1732.36,1322.49 1732.36,1334.71 1732.51,1334.71 1732.51,1322.49 1732.9,1322.49 1732.9,1310.27 1733.18,1310.27 \n",
       "  1733.18,1298.05 1733.67,1298.05 1733.67,1285.83 1733.68,1285.83 1733.68,1298.05 1734.35,1298.05 1734.35,1285.83 1734.4,1285.83 1734.4,1298.05 1735.4,1298.05 \n",
       "  1735.4,1285.83 1735.48,1285.83 1735.48,1273.61 1735.51,1273.61 1735.51,1285.83 1735.8,1285.83 1735.8,1273.61 1735.85,1273.61 1735.85,1261.39 1736.02,1261.39 \n",
       "  1736.02,1273.61 1737.08,1273.61 1737.08,1285.83 1737.49,1285.83 1737.49,1273.61 1737.89,1273.61 1737.89,1285.83 1738.38,1285.83 1738.38,1273.61 1738.44,1273.61 \n",
       "  1738.44,1261.39 1738.76,1261.39 1738.76,1249.17 1738.91,1249.17 1738.91,1236.95 1739.31,1236.95 1739.31,1249.17 1739.35,1249.17 1739.35,1261.39 1739.36,1261.39 \n",
       "  1739.36,1249.17 1739.52,1249.17 1739.52,1236.95 1739.66,1236.95 1739.66,1224.74 1740.11,1224.74 1740.11,1236.95 1740.22,1236.95 1740.22,1249.17 1740.31,1249.17 \n",
       "  1740.31,1261.39 1740.43,1261.39 1740.43,1273.61 1740.59,1273.61 1740.59,1261.39 1740.62,1261.39 1740.62,1249.17 1740.7,1249.17 1740.7,1261.39 1740.73,1261.39 \n",
       "  1740.73,1273.61 1740.96,1273.61 1740.96,1285.83 1740.98,1285.83 1740.98,1298.05 1741.18,1298.05 1741.18,1310.27 1741.22,1310.27 1741.22,1322.49 1741.48,1322.49 \n",
       "  1741.48,1310.27 1742.39,1310.27 1742.39,1322.49 1742.67,1322.49 1742.67,1310.27 1743.2,1310.27 1743.2,1298.05 1743.34,1298.05 1743.34,1285.83 1743.84,1285.83 \n",
       "  1743.84,1273.61 1744.17,1273.61 1744.17,1285.83 1745.28,1285.83 1745.28,1273.61 1745.74,1273.61 1745.74,1285.83 1746.12,1285.83 1746.12,1273.61 1746.21,1273.61 \n",
       "  1746.21,1261.39 1746.79,1261.39 1746.79,1273.61 1746.9,1273.61 1746.9,1285.83 1747.97,1285.83 1747.97,1273.61 1748.55,1273.61 1748.55,1285.83 1748.61,1285.83 \n",
       "  1748.61,1273.61 1748.68,1273.61 1748.68,1261.39 1748.8,1261.39 1748.8,1273.61 1748.86,1273.61 1748.86,1285.83 1749.25,1285.83 1749.25,1273.61 1749.28,1273.61 \n",
       "  1749.28,1261.39 1749.76,1261.39 1749.76,1249.17 1750.01,1249.17 1750.01,1261.39 1750.12,1261.39 1750.12,1273.61 1750.24,1273.61 1750.24,1261.39 1750.58,1261.39 \n",
       "  1750.58,1249.17 1750.72,1249.17 1750.72,1236.95 1750.8,1236.95 1750.8,1249.17 1751.28,1249.17 1751.28,1261.39 1751.36,1261.39 1751.36,1249.17 1751.79,1249.17 \n",
       "  1751.79,1261.39 1752.21,1261.39 1752.21,1273.61 1752.23,1273.61 1752.23,1261.39 1752.31,1261.39 1752.31,1273.61 1752.5,1273.61 1752.5,1285.83 1752.64,1285.83 \n",
       "  1752.64,1273.61 1753.25,1273.61 1753.25,1261.39 1753.36,1261.39 1753.36,1273.61 1753.46,1273.61 1753.46,1285.83 1753.72,1285.83 1753.72,1273.61 1753.75,1273.61 \n",
       "  1753.75,1285.83 1753.9,1285.83 1753.9,1273.61 1753.97,1273.61 1753.97,1285.83 1754.08,1285.83 1754.08,1273.61 1754.18,1273.61 1754.18,1261.39 1754.22,1261.39 \n",
       "  1754.22,1249.17 1754.66,1249.17 1754.66,1236.95 1754.92,1236.95 1754.92,1224.74 1754.98,1224.74 1754.98,1236.95 1755.13,1236.95 1755.13,1249.17 1755.51,1249.17 \n",
       "  1755.51,1236.95 1755.97,1236.95 1755.97,1249.17 1756.24,1249.17 1756.24,1236.95 1756.35,1236.95 1756.35,1224.74 1756.59,1224.74 1756.59,1212.52 1756.67,1212.52 \n",
       "  1756.67,1224.74 1756.77,1224.74 1756.77,1212.52 1757.98,1212.52 1757.98,1200.3 1758.02,1200.3 1758.02,1212.52 1758.61,1212.52 1758.61,1224.74 1759.03,1224.74 \n",
       "  1759.03,1212.52 1759.12,1212.52 1759.12,1200.3 1759.2,1200.3 1759.2,1212.52 1759.62,1212.52 1759.62,1200.3 1759.66,1200.3 1759.66,1212.52 1760.29,1212.52 \n",
       "  1760.29,1200.3 1761.86,1200.3 1761.86,1212.52 1761.91,1212.52 1761.91,1200.3 1762.36,1200.3 1762.36,1188.08 1763.07,1188.08 1763.07,1200.3 1763.31,1200.3 \n",
       "  1763.31,1212.52 1763.31,1212.52 1763.31,1200.3 1763.34,1200.3 1763.34,1188.08 1763.91,1188.08 1763.91,1200.3 1764.14,1200.3 1764.14,1212.52 1764.24,1212.52 \n",
       "  1764.24,1224.74 1764.66,1224.74 1764.66,1236.95 1765.3,1236.95 1765.3,1249.17 1765.4,1249.17 1765.4,1236.95 1766.48,1236.95 1766.48,1224.74 1766.97,1224.74 \n",
       "  1766.97,1236.95 1767.06,1236.95 1767.06,1224.74 1767.34,1224.74 1767.34,1212.52 1767.41,1212.52 1767.41,1200.3 1767.84,1200.3 1767.84,1188.08 1767.98,1188.08 \n",
       "  1767.98,1200.3 1768.33,1200.3 1768.33,1212.52 1769.11,1212.52 1769.11,1224.74 1770.14,1224.74 1770.14,1212.52 1770.61,1212.52 1770.61,1224.74 1770.62,1224.74 \n",
       "  1770.62,1236.95 1770.91,1236.95 1770.91,1224.74 1770.98,1224.74 1770.98,1236.95 1771.69,1236.95 1771.69,1249.17 1771.91,1249.17 1771.91,1261.39 1772.22,1261.39 \n",
       "  1772.22,1273.61 1774.28,1273.61 1774.28,1285.83 1774.3,1285.83 1774.3,1273.61 1774.33,1273.61 1774.33,1285.83 1774.93,1285.83 1774.93,1298.05 1776.33,1298.05 \n",
       "  1776.33,1310.27 1776.45,1310.27 1776.45,1322.49 1776.88,1322.49 1776.88,1334.71 1777.61,1334.71 1777.61,1346.93 1778.49,1346.93 1778.49,1334.71 1778.77,1334.71 \n",
       "  1778.77,1322.49 1779.1,1322.49 1779.1,1334.71 1779.39,1334.71 1779.39,1346.93 1779.68,1346.93 1779.68,1359.15 1780.18,1359.15 1780.18,1371.37 1780.62,1371.37 \n",
       "  1780.62,1359.15 1780.85,1359.15 1780.85,1371.37 1781.11,1371.37 1781.11,1359.15 1781.4,1359.15 1781.4,1371.37 1781.52,1371.37 1781.52,1383.59 1781.57,1383.59 \n",
       "  1781.57,1395.81 1781.58,1395.81 1781.58,1408.03 1781.6,1408.03 1781.6,1420.25 1781.64,1420.25 1781.64,1408.03 1781.72,1408.03 1781.72,1420.25 1781.89,1420.25 \n",
       "  1781.89,1432.47 1782.04,1432.47 1782.04,1444.69 1782.16,1444.69 1782.16,1432.47 1782.48,1432.47 1782.48,1444.69 1783.08,1444.69 1783.08,1456.91 1783.19,1456.91 \n",
       "  1783.19,1444.69 1783.56,1444.69 1783.56,1456.91 1783.72,1456.91 1783.72,1444.69 1783.79,1444.69 1783.79,1432.47 1784.03,1432.47 1784.03,1420.25 1784.63,1420.25 \n",
       "  1784.63,1432.47 1784.66,1432.47 1784.66,1420.25 1784.75,1420.25 1784.75,1432.47 1784.76,1432.47 1784.76,1444.69 1785.39,1444.69 1785.39,1432.47 1785.5,1432.47 \n",
       "  1785.5,1444.69 1787.26,1444.69 1787.26,1456.91 1788.51,1456.91 1788.51,1444.69 1788.68,1444.69 1788.68,1432.47 1789.16,1432.47 1789.16,1420.25 1789.24,1420.25 \n",
       "  1789.24,1408.03 1790.18,1408.03 1790.18,1395.81 1790.32,1395.81 1790.32,1408.03 1790.33,1408.03 1790.33,1395.81 1790.89,1395.81 1790.89,1408.03 1790.9,1408.03 \n",
       "  1790.9,1420.25 1791,1420.25 1791,1432.47 1791.78,1432.47 1791.78,1420.25 1791.81,1420.25 1791.81,1408.03 1792.2,1408.03 1792.2,1420.25 1793.53,1420.25 \n",
       "  1793.53,1408.03 1794.17,1408.03 1794.17,1395.81 1794.55,1395.81 1794.55,1383.59 1794.64,1383.59 1794.64,1395.81 1796.67,1395.81 1796.67,1383.59 1796.83,1383.59 \n",
       "  1796.83,1395.81 1797.06,1395.81 1797.06,1408.03 1797.3,1408.03 1797.3,1420.25 1797.39,1420.25 1797.39,1408.03 1797.61,1408.03 1797.61,1395.81 1798.4,1395.81 \n",
       "  1798.4,1408.03 1798.42,1408.03 1798.42,1420.25 1798.65,1420.25 1798.65,1408.03 1799.21,1408.03 1799.21,1395.81 1799.37,1395.81 1799.37,1383.59 1799.51,1383.59 \n",
       "  1799.51,1395.81 1799.63,1395.81 1799.63,1408.03 1799.63,1408.03 1799.63,1420.25 1799.72,1420.25 1799.72,1432.47 1799.87,1432.47 1799.87,1420.25 1799.87,1420.25 \n",
       "  1799.87,1408.03 1800.11,1408.03 1800.11,1395.81 1800.71,1395.81 1800.71,1383.59 1800.79,1383.59 1800.79,1371.37 1801.19,1371.37 1801.19,1359.15 1801.89,1359.15 \n",
       "  1801.89,1371.37 1802.05,1371.37 1802.05,1359.15 1802.93,1359.15 1802.93,1371.37 1803.12,1371.37 1803.12,1359.15 1803.14,1359.15 1803.14,1371.37 1803.4,1371.37 \n",
       "  1803.4,1359.15 1803.72,1359.15 1803.72,1371.37 1803.91,1371.37 1803.91,1383.59 1804.27,1383.59 1804.27,1371.37 1804.75,1371.37 1804.75,1383.59 1804.81,1383.59 \n",
       "  1804.81,1395.81 1805.68,1395.81 1805.68,1383.59 1806.03,1383.59 1806.03,1371.37 1806.1,1371.37 1806.1,1383.59 1806.82,1383.59 1806.82,1395.81 1807.61,1395.81 \n",
       "  1807.61,1383.59 1807.71,1383.59 1807.71,1371.37 1807.86,1371.37 1807.86,1383.59 1808.01,1383.59 1808.01,1395.81 1808.31,1395.81 1808.31,1408.03 1808.47,1408.03 \n",
       "  1808.47,1420.25 1808.51,1420.25 1808.51,1408.03 1809,1408.03 1809,1420.25 1809.17,1420.25 1809.17,1408.03 1809.47,1408.03 1809.47,1395.81 1809.62,1395.81 \n",
       "  1809.62,1383.59 1809.82,1383.59 1809.82,1371.37 1810.12,1371.37 1810.12,1383.59 1810.32,1383.59 1810.32,1395.81 1810.72,1395.81 1810.72,1408.03 1811.31,1408.03 \n",
       "  1811.31,1420.25 1811.34,1420.25 1811.34,1432.47 1811.59,1432.47 1811.59,1444.69 1811.59,1444.69 1811.59,1432.47 1811.9,1432.47 1811.9,1444.69 1812.06,1444.69 \n",
       "  1812.06,1456.91 1812.26,1456.91 1812.26,1444.69 1812.53,1444.69 1812.53,1456.91 1812.53,1456.91 1812.53,1444.69 1813.3,1444.69 1813.3,1432.47 1813.76,1432.47 \n",
       "  1813.76,1420.25 1813.99,1420.25 1813.99,1432.47 1814.78,1432.47 1814.78,1444.69 1815.42,1444.69 1815.42,1456.91 1815.43,1456.91 1815.43,1444.69 1815.83,1444.69 \n",
       "  1815.83,1456.91 1815.87,1456.91 1815.87,1444.69 1815.93,1444.69 1815.93,1456.91 1816.4,1456.91 1816.4,1444.69 1817.02,1444.69 1817.02,1456.91 1817.83,1456.91 \n",
       "  1817.83,1444.69 1818.65,1444.69 1818.65,1432.47 1818.8,1432.47 1818.8,1420.25 1820.93,1420.25 1820.93,1408.03 1821.03,1408.03 1821.03,1420.25 1821.24,1420.25 \n",
       "  1821.24,1432.47 1821.34,1432.47 1821.34,1444.69 1821.52,1444.69 1821.52,1432.47 1822.53,1432.47 1822.53,1444.69 1822.8,1444.69 1822.8,1456.91 1823.28,1456.91 \n",
       "  1823.28,1444.69 1823.86,1444.69 1823.86,1432.47 1823.97,1432.47 1823.97,1420.25 1824.09,1420.25 1824.09,1432.47 1824.3,1432.47 1824.3,1444.69 1824.49,1444.69 \n",
       "  1824.49,1432.47 1824.57,1432.47 1824.57,1420.25 1824.62,1420.25 1824.62,1408.03 1824.89,1408.03 1824.89,1420.25 1825.4,1420.25 1825.4,1408.03 1825.55,1408.03 \n",
       "  1825.55,1420.25 1825.61,1420.25 1825.61,1432.47 1826.06,1432.47 1826.06,1420.25 1826.29,1420.25 1826.29,1432.47 1826.61,1432.47 1826.61,1420.25 1826.63,1420.25 \n",
       "  1826.63,1432.47 1826.66,1432.47 1826.66,1420.25 1827.19,1420.25 1827.19,1408.03 1827.49,1408.03 1827.49,1395.81 1827.61,1395.81 1827.61,1383.59 1828.07,1383.59 \n",
       "  1828.07,1395.81 1828.12,1395.81 1828.12,1408.03 1828.18,1408.03 1828.18,1395.81 1829.16,1395.81 1829.16,1408.03 1829.28,1408.03 1829.28,1395.81 1829.42,1395.81 \n",
       "  1829.42,1408.03 1829.56,1408.03 1829.56,1420.25 1829.7,1420.25 1829.7,1432.47 1830.08,1432.47 1830.08,1420.25 1830.09,1420.25 1830.09,1432.47 1830.58,1432.47 \n",
       "  1830.58,1444.69 1831.21,1444.69 1831.21,1456.91 1831.38,1456.91 1831.38,1444.69 1831.53,1444.69 1831.53,1456.91 1832.88,1456.91 1832.88,1444.69 1833,1444.69 \n",
       "  1833,1432.47 1833.07,1432.47 1833.07,1444.69 1833.12,1444.69 1833.12,1432.47 1833.79,1432.47 1833.79,1420.25 1834.43,1420.25 1834.43,1408.03 1834.82,1408.03 \n",
       "  1834.82,1420.25 1834.93,1420.25 1834.93,1408.03 1835.88,1408.03 1835.88,1420.25 1836.05,1420.25 1836.05,1432.47 1836.28,1432.47 1836.28,1420.25 1836.4,1420.25 \n",
       "  1836.4,1432.47 1836.68,1432.47 1836.68,1420.25 1836.99,1420.25 1836.99,1408.03 1837.01,1408.03 1837.01,1420.25 1837.02,1420.25 1837.02,1432.47 1837.43,1432.47 \n",
       "  1837.43,1444.69 1837.68,1444.69 1837.68,1456.91 1838.72,1456.91 1838.72,1444.69 1838.91,1444.69 1838.91,1432.47 1839.33,1432.47 1839.33,1444.69 1839.74,1444.69 \n",
       "  1839.74,1432.47 1840.14,1432.47 1840.14,1444.69 1840.3,1444.69 1840.3,1456.91 1840.76,1456.91 1840.76,1444.69 1840.77,1444.69 1840.77,1456.91 1841.99,1456.91 \n",
       "  1841.99,1444.69 1842.31,1444.69 1842.31,1456.91 1842.63,1456.91 1842.63,1444.69 1842.73,1444.69 1842.73,1432.47 1842.9,1432.47 1842.9,1444.69 1842.98,1444.69 \n",
       "  1842.98,1456.91 1843.28,1456.91 1843.28,1444.69 1843.28,1444.69 1843.28,1456.91 1843.31,1456.91 1843.31,1444.69 1843.9,1444.69 1843.9,1432.47 1844.32,1432.47 \n",
       "  1844.32,1420.25 1844.58,1420.25 1844.58,1432.47 1845.56,1432.47 1845.56,1444.69 1845.57,1444.69 1845.57,1456.91 1846.22,1456.91 1846.22,1444.69 1846.37,1444.69 \n",
       "  1846.37,1456.91 1847.18,1456.91 1847.18,1444.69 1847.71,1444.69 1847.71,1456.91 1848.16,1456.91 1848.16,1444.69 1848.78,1444.69 1848.78,1456.91 1849.38,1456.91 \n",
       "  1849.38,1444.69 1849.38,1444.69 1849.38,1432.47 1849.53,1432.47 1849.53,1420.25 1849.72,1420.25 1849.72,1432.47 1850.07,1432.47 1850.07,1444.69 1850.15,1444.69 \n",
       "  1850.15,1456.91 1850.15,1456.91 1850.15,1444.69 1850.43,1444.69 1850.43,1432.47 1850.92,1432.47 1850.92,1444.69 1851.73,1444.69 1851.73,1456.91 1853.63,1456.91 \n",
       "  1853.63,1444.69 1854.15,1444.69 1854.15,1456.91 1854.7,1456.91 1854.7,1444.69 1854.82,1444.69 1854.82,1432.47 1854.89,1432.47 1854.89,1420.25 1854.95,1420.25 \n",
       "  1854.95,1408.03 1855.03,1408.03 1855.03,1420.25 1855.3,1420.25 1855.3,1432.47 1855.92,1432.47 1855.92,1420.25 1856.2,1420.25 1856.2,1432.47 1857.19,1432.47 \n",
       "  1857.19,1444.69 1857.5,1444.69 1857.5,1456.91 1859.15,1456.91 1859.15,1444.69 1859.28,1444.69 1859.28,1432.47 1859.35,1432.47 1859.35,1444.69 1859.63,1444.69 \n",
       "  1859.63,1432.47 1860.33,1432.47 1860.33,1420.25 1860.43,1420.25 1860.43,1432.47 1861.01,1432.47 1861.01,1420.25 1861.38,1420.25 1861.38,1432.47 1861.61,1432.47 \n",
       "  1861.61,1420.25 1861.78,1420.25 1861.78,1408.03 1861.78,1408.03 1861.78,1420.25 1862.17,1420.25 1862.17,1408.03 1862.47,1408.03 1862.47,1420.25 1862.65,1420.25 \n",
       "  1862.65,1432.47 1862.88,1432.47 1862.88,1444.69 1863.09,1444.69 1863.09,1456.91 1864.14,1456.91 1864.14,1444.69 1864.36,1444.69 1864.36,1432.47 1864.87,1432.47 \n",
       "  1864.87,1444.69 1865.14,1444.69 1865.14,1432.47 1865.5,1432.47 1865.5,1420.25 1866.98,1420.25 1866.98,1408.03 1867.03,1408.03 1867.03,1420.25 1867.33,1420.25 \n",
       "  1867.33,1408.03 1867.7,1408.03 1867.7,1395.81 1868.88,1395.81 1868.88,1383.59 1869.11,1383.59 1869.11,1371.37 1869.41,1371.37 1869.41,1383.59 1869.77,1383.59 \n",
       "  1869.77,1395.81 1870.13,1395.81 1870.13,1383.59 1870.2,1383.59 1870.2,1395.81 1870.25,1395.81 1870.25,1408.03 1870.57,1408.03 1870.57,1420.25 1872.6,1420.25 \n",
       "  1872.6,1432.47 1872.87,1432.47 1872.87,1444.69 1874.14,1444.69 1874.14,1432.47 1874.35,1432.47 1874.35,1420.25 1874.4,1420.25 1874.4,1408.03 1874.8,1408.03 \n",
       "  1874.8,1420.25 1875.17,1420.25 1875.17,1432.47 1876.04,1432.47 1876.04,1420.25 1876.05,1420.25 1876.05,1432.47 1876.12,1432.47 1876.12,1420.25 1876.21,1420.25 \n",
       "  1876.21,1432.47 1877.2,1432.47 1877.2,1420.25 1877.35,1420.25 1877.35,1432.47 1877.69,1432.47 1877.69,1444.69 1877.99,1444.69 1877.99,1432.47 1878.01,1432.47 \n",
       "  1878.01,1420.25 1878.14,1420.25 1878.14,1408.03 1878.17,1408.03 1878.17,1420.25 1878.38,1420.25 1878.38,1408.03 1878.5,1408.03 1878.5,1420.25 1878.55,1420.25 \n",
       "  1878.55,1432.47 1878.83,1432.47 1878.83,1420.25 1878.92,1420.25 1878.92,1408.03 1879.22,1408.03 1879.22,1420.25 1879.45,1420.25 1879.45,1432.47 1879.49,1432.47 \n",
       "  1879.49,1444.69 1880.18,1444.69 1880.18,1456.91 1881.06,1456.91 1881.06,1444.69 1881.07,1444.69 1881.07,1432.47 1881.75,1432.47 1881.75,1420.25 1881.96,1420.25 \n",
       "  1881.96,1432.47 1882.11,1432.47 1882.11,1420.25 1882.2,1420.25 1882.2,1408.03 1882.27,1408.03 1882.27,1420.25 1882.52,1420.25 1882.52,1432.47 1882.64,1432.47 \n",
       "  1882.64,1444.69 1883.55,1444.69 1883.55,1456.91 1883.59,1456.91 1883.59,1444.69 1884.01,1444.69 1884.01,1456.91 1884.93,1456.91 1884.93,1444.69 1885.17,1444.69 \n",
       "  1885.17,1456.91 1885.46,1456.91 1885.46,1444.69 1885.51,1444.69 1885.51,1456.91 1885.58,1456.91 1885.58,1444.69 1886.16,1444.69 1886.16,1456.91 1886.86,1456.91 \n",
       "  1886.86,1444.69 1886.97,1444.69 1886.97,1432.47 1887,1432.47 1887,1444.69 1887.12,1444.69 1887.12,1456.91 1887.3,1456.91 1887.3,1444.69 1887.72,1444.69 \n",
       "  1887.72,1432.47 1888.05,1432.47 1888.05,1420.25 1888.54,1420.25 1888.54,1408.03 1888.75,1408.03 1888.75,1395.81 1889.13,1395.81 1889.13,1408.03 1889.16,1408.03 \n",
       "  1889.16,1395.81 1889.49,1395.81 1889.49,1383.59 1889.78,1383.59 1889.78,1395.81 1889.85,1395.81 1889.85,1383.59 1890.58,1383.59 1890.58,1395.81 1890.71,1395.81 \n",
       "  1890.71,1408.03 1891.37,1408.03 1891.37,1420.25 1892.11,1420.25 1892.11,1432.47 1892.54,1432.47 1892.54,1420.25 1892.62,1420.25 1892.62,1432.47 1892.64,1432.47 \n",
       "  1892.64,1420.25 1892.83,1420.25 1892.83,1432.47 1892.9,1432.47 1892.9,1420.25 1894.32,1420.25 1894.32,1408.03 1894.51,1408.03 1894.51,1395.81 1895.25,1395.81 \n",
       "  1895.25,1383.59 1896.04,1383.59 1896.04,1395.81 1896.13,1395.81 1896.13,1383.59 1896.16,1383.59 1896.16,1371.37 1896.7,1371.37 1896.7,1359.15 1897.36,1359.15 \n",
       "  1897.36,1371.37 1897.78,1371.37 1897.78,1359.15 1898.1,1359.15 1898.1,1371.37 1898.21,1371.37 1898.21,1359.15 1898.23,1359.15 1898.23,1346.93 1898.62,1346.93 \n",
       "  1898.62,1334.71 1898.89,1334.71 1898.89,1322.49 1898.91,1322.49 1898.91,1334.71 1899.09,1334.71 1899.09,1322.49 1899.6,1322.49 1899.6,1310.27 1899.67,1310.27 \n",
       "  1899.67,1322.49 1900.05,1322.49 1900.05,1310.27 1900.38,1310.27 1900.38,1298.05 1900.41,1298.05 1900.41,1310.27 1900.5,1310.27 1900.5,1322.49 1900.54,1322.49 \n",
       "  1900.54,1334.71 1901.27,1334.71 1901.27,1322.49 1901.68,1322.49 1901.68,1310.27 1901.86,1310.27 1901.86,1322.49 1902.04,1322.49 1902.04,1334.71 1902.04,1334.71 \n",
       "  1902.04,1346.93 1902.19,1346.93 1902.19,1359.15 1903.3,1359.15 1903.3,1371.37 1903.53,1371.37 1903.53,1383.59 1903.61,1383.59 1903.61,1395.81 1903.9,1395.81 \n",
       "  1903.9,1408.03 1903.95,1408.03 1903.95,1420.25 1904.02,1420.25 1904.02,1408.03 1904.59,1408.03 1904.59,1420.25 1905.35,1420.25 1905.35,1432.47 1905.36,1432.47 \n",
       "  1905.36,1444.69 1905.57,1444.69 1905.57,1456.91 1905.83,1456.91 1905.83,1444.69 1905.92,1444.69 1905.92,1456.91 1906,1456.91 1906,1444.69 1908.31,1444.69 \n",
       "  1908.31,1456.91 1908.74,1456.91 1908.74,1444.69 1909.07,1444.69 1909.07,1456.91 1909.5,1456.91 1909.5,1444.69 1909.59,1444.69 1909.59,1432.47 1910.53,1432.47 \n",
       "  1910.53,1420.25 1910.95,1420.25 1910.95,1432.47 1910.99,1432.47 1910.99,1420.25 1911,1420.25 1911,1408.03 1911.4,1408.03 1911.4,1395.81 1911.48,1395.81 \n",
       "  1911.48,1408.03 1912.07,1408.03 1912.07,1420.25 1912.19,1420.25 1912.19,1432.47 1912.51,1432.47 1912.51,1444.69 1913.57,1444.69 1913.57,1432.47 1914.42,1432.47 \n",
       "  1914.42,1444.69 1914.54,1444.69 1914.54,1456.91 1917.06,1456.91 1917.06,1444.69 1917.66,1444.69 1917.66,1456.91 1917.84,1456.91 1917.84,1444.69 1918.64,1444.69 \n",
       "  1918.64,1456.91 1918.88,1456.91 1918.88,1444.69 1919.01,1444.69 1919.01,1432.47 1919.09,1432.47 1919.09,1444.69 1919.73,1444.69 1919.73,1456.91 1920.56,1456.91 \n",
       "  1920.56,1444.69 1920.85,1444.69 1920.85,1432.47 1921.03,1432.47 1921.03,1420.25 1921.17,1420.25 1921.17,1432.47 1921.22,1432.47 1921.22,1444.69 1921.58,1444.69 \n",
       "  1921.58,1432.47 1922.43,1432.47 1922.43,1444.69 1922.63,1444.69 1922.63,1456.91 1922.7,1456.91 1922.7,1444.69 1922.86,1444.69 1922.86,1432.47 1923.27,1432.47 \n",
       "  1923.27,1444.69 1923.33,1444.69 1923.33,1456.91 1924.02,1456.91 1924.02,1444.69 1924.07,1444.69 1924.07,1432.47 1924.17,1432.47 1924.17,1420.25 1924.83,1420.25 \n",
       "  1924.83,1432.47 1925.22,1432.47 1925.22,1420.25 1925.45,1420.25 1925.45,1432.47 1926.04,1432.47 1926.04,1420.25 1926.2,1420.25 1926.2,1408.03 1926.31,1408.03 \n",
       "  1926.31,1420.25 1926.86,1420.25 1926.86,1408.03 1927.06,1408.03 1927.06,1420.25 1927.15,1420.25 1927.15,1408.03 1927.65,1408.03 1927.65,1420.25 1928.09,1420.25 \n",
       "  1928.09,1408.03 1928.3,1408.03 1928.3,1395.81 1928.55,1395.81 1928.55,1408.03 1928.6,1408.03 1928.6,1420.25 1930.3,1420.25 1930.3,1408.03 1931.01,1408.03 \n",
       "  1931.01,1395.81 1931.11,1395.81 1931.11,1383.59 1931.42,1383.59 1931.42,1371.37 1931.44,1371.37 1931.44,1359.15 1931.5,1359.15 1931.5,1371.37 1931.64,1371.37 \n",
       "  1931.64,1359.15 1931.68,1359.15 1931.68,1371.37 1933.28,1371.37 1933.28,1383.59 1933.37,1383.59 1933.37,1371.37 1933.58,1371.37 1933.58,1359.15 1934.19,1359.15 \n",
       "  1934.19,1371.37 1934.47,1371.37 1934.47,1383.59 1934.51,1383.59 1934.51,1371.37 1934.97,1371.37 1934.97,1383.59 1935.03,1383.59 1935.03,1395.81 1935.71,1395.81 \n",
       "  1935.71,1408.03 1935.92,1408.03 1935.92,1420.25 1936.83,1420.25 1936.83,1408.03 1937.63,1408.03 1937.63,1420.25 1937.81,1420.25 1937.81,1432.47 1938.26,1432.47 \n",
       "  1938.26,1444.69 1938.6,1444.69 1938.6,1456.91 1939.15,1456.91 1939.15,1444.69 1939.26,1444.69 1939.26,1456.91 1940.05,1456.91 1940.05,1444.69 1940.84,1444.69 \n",
       "  1940.84,1456.91 1941.97,1456.91 1941.97,1444.69 1942.15,1444.69 1942.15,1432.47 1942.42,1432.47 1942.42,1420.25 1943.31,1420.25 1943.31,1432.47 1943.8,1432.47 \n",
       "  1943.8,1420.25 1943.94,1420.25 1943.94,1408.03 1944.37,1408.03 1944.37,1420.25 1944.68,1420.25 1944.68,1432.47 1944.69,1432.47 1944.69,1444.69 1944.75,1444.69 \n",
       "  1944.75,1456.91 1945.15,1456.91 1945.15,1444.69 1945.98,1444.69 1945.98,1432.47 1946.18,1432.47 1946.18,1444.69 1946.32,1444.69 1946.32,1432.47 1946.57,1432.47 \n",
       "  1946.57,1444.69 1947.05,1444.69 1947.05,1456.91 1947.72,1456.91 1947.72,1444.69 1947.94,1444.69 1947.94,1432.47 1948.26,1432.47 1948.26,1420.25 1948.58,1420.25 \n",
       "  1948.58,1432.47 1949.01,1432.47 1949.01,1444.69 1949.16,1444.69 1949.16,1432.47 1949.45,1432.47 1949.45,1444.69 1949.61,1444.69 1949.61,1432.47 1949.63,1432.47 \n",
       "  1949.63,1420.25 1950.01,1420.25 1950.01,1408.03 1950.8,1408.03 1950.8,1420.25 1950.8,1420.25 1950.8,1432.47 1950.89,1432.47 1950.89,1420.25 1950.9,1420.25 \n",
       "  1950.9,1432.47 1951.39,1432.47 1951.39,1420.25 1951.99,1420.25 1951.99,1432.47 1952.03,1432.47 1952.03,1420.25 1952.13,1420.25 1952.13,1432.47 1952.37,1432.47 \n",
       "  1952.37,1420.25 1952.46,1420.25 1952.46,1432.47 1952.88,1432.47 1952.88,1420.25 1954.3,1420.25 1954.3,1432.47 1954.71,1432.47 1954.71,1420.25 1954.92,1420.25 \n",
       "  1954.92,1408.03 1955.11,1408.03 1955.11,1420.25 1955.12,1420.25 1955.12,1408.03 1955.7,1408.03 1955.7,1395.81 1955.93,1395.81 1955.93,1408.03 1955.97,1408.03 \n",
       "  1955.97,1420.25 1956.14,1420.25 1956.14,1408.03 1956.23,1408.03 1956.23,1420.25 1957.61,1420.25 1957.61,1408.03 1957.91,1408.03 1957.91,1420.25 1958.86,1420.25 \n",
       "  1958.86,1408.03 1958.97,1408.03 1958.97,1420.25 1959.63,1420.25 1959.63,1432.47 1959.74,1432.47 1959.74,1420.25 1960.4,1420.25 1960.4,1408.03 1960.51,1408.03 \n",
       "  1960.51,1420.25 1960.6,1420.25 1960.6,1432.47 1960.69,1432.47 1960.69,1420.25 1960.76,1420.25 1960.76,1432.47 1960.95,1432.47 1960.95,1420.25 1961.3,1420.25 \n",
       "  1961.3,1408.03 1961.92,1408.03 1961.92,1420.25 1962.09,1420.25 1962.09,1432.47 1962.92,1432.47 1962.92,1420.25 1962.99,1420.25 1962.99,1432.47 1963.05,1432.47 \n",
       "  1963.05,1444.69 1963.08,1444.69 1963.08,1456.91 1963.29,1456.91 1963.29,1444.69 1964.26,1444.69 1964.26,1456.91 1964.67,1456.91 1964.67,1444.69 1965.32,1444.69 \n",
       "  1965.32,1432.47 1965.44,1432.47 1965.44,1420.25 1965.59,1420.25 1965.59,1408.03 1965.6,1408.03 1965.6,1395.81 1965.7,1395.81 1965.7,1408.03 1965.85,1408.03 \n",
       "  1965.85,1395.81 1966.05,1395.81 1966.05,1408.03 1966.18,1408.03 1966.18,1420.25 1966.89,1420.25 1966.89,1432.47 1967.05,1432.47 1967.05,1420.25 1967.09,1420.25 \n",
       "  1967.09,1432.47 1967.12,1432.47 1967.12,1420.25 1967.52,1420.25 1967.52,1408.03 1967.98,1408.03 1967.98,1420.25 1968.19,1420.25 1968.19,1432.47 1969.56,1432.47 \n",
       "  1969.56,1444.69 1969.94,1444.69 1969.94,1432.47 1969.97,1432.47 1969.97,1444.69 1970.39,1444.69 1970.39,1456.91 1971.23,1456.91 1971.23,1444.69 1971.64,1444.69 \n",
       "  1971.64,1432.47 1972.23,1432.47 1972.23,1444.69 1972.66,1444.69 1972.66,1456.91 1973.03,1456.91 1973.03,1444.69 1973.85,1444.69 1973.85,1432.47 1974.01,1432.47 \n",
       "  1974.01,1444.69 1974.06,1444.69 1974.06,1456.91 1974.41,1456.91 1974.41,1444.69 1974.45,1444.69 1974.45,1432.47 1974.78,1432.47 1974.78,1444.69 1974.84,1444.69 \n",
       "  1974.84,1432.47 1974.85,1432.47 1974.85,1420.25 1974.89,1420.25 1974.89,1408.03 1974.89,1408.03 1974.89,1420.25 1975.17,1420.25 1975.17,1432.47 1975.41,1432.47 \n",
       "  1975.41,1444.69 1975.77,1444.69 1975.77,1456.91 1975.83,1456.91 1975.83,1444.69 1975.93,1444.69 1975.93,1456.91 1975.96,1456.91 1975.96,1444.69 1976.15,1444.69 \n",
       "  1976.15,1456.91 1976.73,1456.91 1976.73,1444.69 1976.84,1444.69 1976.84,1456.91 1977.34,1456.91 1977.34,1444.69 1977.5,1444.69 1977.5,1432.47 1978.12,1432.47 \n",
       "  1978.12,1444.69 1978.27,1444.69 1978.27,1456.91 1978.85,1456.91 1978.85,1444.69 1979.09,1444.69 1979.09,1456.91 1980.23,1456.91 1980.23,1444.69 1980.5,1444.69 \n",
       "  1980.5,1432.47 1980.5,1432.47 1980.5,1444.69 1980.67,1444.69 1980.67,1456.91 1984.55,1456.91 1984.55,1444.69 1984.63,1444.69 1984.63,1432.47 1984.76,1432.47 \n",
       "  1984.76,1420.25 1984.79,1420.25 1984.79,1432.47 1985.14,1432.47 1985.14,1420.25 1985.51,1420.25 1985.51,1408.03 1985.82,1408.03 1985.82,1420.25 1986.29,1420.25 \n",
       "  1986.29,1432.47 1986.98,1432.47 1986.98,1444.69 1987.09,1444.69 1987.09,1432.47 1987.36,1432.47 1987.36,1444.69 1987.5,1444.69 1987.5,1432.47 1987.57,1432.47 \n",
       "  1987.57,1444.69 1987.78,1444.69 1987.78,1456.91 1989.45,1456.91 1989.45,1444.69 1989.45,1444.69 1989.45,1456.91 1990.02,1456.91 1990.02,1444.69 1990.87,1444.69 \n",
       "  1990.87,1432.47 1991.33,1432.47 1991.33,1444.69 1991.34,1444.69 1991.34,1456.91 1991.7,1456.91 1991.7,1444.69 1992.19,1444.69 1992.19,1456.91 1993.21,1456.91 \n",
       "  1993.21,1444.69 1993.81,1444.69 1993.81,1432.47 1994.77,1432.47 1994.77,1420.25 1995.45,1420.25 1995.45,1408.03 1996.08,1408.03 1996.08,1395.81 1996.74,1395.81 \n",
       "  1996.74,1383.59 1997.26,1383.59 1997.26,1395.81 1997.39,1395.81 1997.39,1408.03 1997.46,1408.03 1997.46,1420.25 1997.6,1420.25 1997.6,1432.47 1997.62,1432.47 \n",
       "  1997.62,1444.69 1997.89,1444.69 1997.89,1456.91 1998.64,1456.91 1998.64,1444.69 1998.76,1444.69 1998.76,1456.91 1999.33,1456.91 1999.33,1444.69 1999.86,1444.69 \n",
       "  1999.86,1432.47 2000.02,1432.47 2000.02,1444.69 2000.15,1444.69 2000.15,1432.47 2000.45,1432.47 2000.45,1444.69 2000.68,1444.69 2000.68,1432.47 2000.87,1432.47 \n",
       "  2000.87,1444.69 2001.4,1444.69 2001.4,1432.47 2001.61,1432.47 2001.61,1444.69 2001.77,1444.69 2001.77,1456.91 2002.04,1456.91 2002.04,1444.69 2002.05,1444.69 \n",
       "  2002.05,1432.47 2002.07,1432.47 2002.07,1444.69 2002.08,1444.69 2002.08,1432.47 2002.19,1432.47 2002.19,1420.25 2002.99,1420.25 2002.99,1432.47 2003.61,1432.47 \n",
       "  2003.61,1420.25 2003.69,1420.25 2003.69,1408.03 2004.08,1408.03 2004.08,1420.25 2004.83,1420.25 2004.83,1432.47 2004.97,1432.47 2004.97,1420.25 2005.39,1420.25 \n",
       "  2005.39,1408.03 2005.43,1408.03 2005.43,1395.81 2005.64,1395.81 2005.64,1408.03 2005.68,1408.03 2005.68,1395.81 2006.46,1395.81 2006.46,1383.59 2006.63,1383.59 \n",
       "  2006.63,1371.37 2006.78,1371.37 2006.78,1359.15 2006.89,1359.15 2006.89,1371.37 2007.11,1371.37 2007.11,1359.15 2007.15,1359.15 2007.15,1346.93 2007.32,1346.93 \n",
       "  2007.32,1359.15 2009.24,1359.15 2009.24,1371.37 2009.88,1371.37 2009.88,1359.15 2009.89,1359.15 2009.89,1371.37 2009.94,1371.37 2009.94,1359.15 2010.06,1359.15 \n",
       "  2010.06,1346.93 2010.1,1346.93 2010.1,1359.15 2010.32,1359.15 2010.32,1371.37 2010.33,1371.37 2010.33,1383.59 2011.42,1383.59 2011.42,1371.37 2012.1,1371.37 \n",
       "  2012.1,1359.15 2012.25,1359.15 2012.25,1371.37 2013.1,1371.37 2013.1,1359.15 2013.43,1359.15 2013.43,1371.37 2013.64,1371.37 2013.64,1359.15 2013.84,1359.15 \n",
       "  2013.84,1346.93 2014.2,1346.93 2014.2,1334.71 2014.34,1334.71 2014.34,1322.49 2014.9,1322.49 2014.9,1334.71 2015.1,1334.71 2015.1,1346.93 2015.83,1346.93 \n",
       "  2015.83,1334.71 2015.83,1334.71 2015.83,1346.93 2015.9,1346.93 2015.9,1334.71 2016.53,1334.71 2016.53,1322.49 2016.64,1322.49 2016.64,1310.27 2016.7,1310.27 \n",
       "  2016.7,1298.05 2016.82,1298.05 2016.82,1310.27 2017.05,1310.27 2017.05,1298.05 2017.13,1298.05 2017.13,1285.83 2017.24,1285.83 2017.24,1273.61 2017.51,1273.61 \n",
       "  2017.51,1285.83 2017.54,1285.83 2017.54,1273.61 2017.63,1273.61 2017.63,1285.83 2017.63,1285.83 2017.63,1273.61 2018.41,1273.61 2018.41,1261.39 2018.54,1261.39 \n",
       "  2018.54,1273.61 2018.91,1273.61 2018.91,1261.39 2019.22,1261.39 2019.22,1249.17 2019.22,1249.17 2019.22,1261.39 2019.72,1261.39 2019.72,1273.61 2019.78,1273.61 \n",
       "  2019.78,1261.39 2019.85,1261.39 2019.85,1273.61 2019.98,1273.61 2019.98,1261.39 2020.09,1261.39 2020.09,1249.17 2020.57,1249.17 2020.57,1261.39 2020.62,1261.39 \n",
       "  2020.62,1273.61 2020.69,1273.61 2020.69,1261.39 2020.76,1261.39 2020.76,1273.61 2020.93,1273.61 2020.93,1261.39 2020.94,1261.39 2020.94,1273.61 2021.72,1273.61 \n",
       "  2021.72,1261.39 2021.78,1261.39 2021.78,1273.61 2021.88,1273.61 2021.88,1261.39 2022.3,1261.39 2022.3,1273.61 2022.59,1273.61 2022.59,1285.83 2022.69,1285.83 \n",
       "  2022.69,1298.05 2022.7,1298.05 2022.7,1285.83 2023.48,1285.83 2023.48,1298.05 2024.33,1298.05 2024.33,1285.83 2025.33,1285.83 2025.33,1273.61 2025.86,1273.61 \n",
       "  2025.86,1285.83 2026.61,1285.83 2026.61,1298.05 2026.83,1298.05 2026.83,1310.27 2027.11,1310.27 2027.11,1298.05 2027.15,1298.05 2027.15,1310.27 2027.32,1310.27 \n",
       "  2027.32,1298.05 2027.58,1298.05 2027.58,1310.27 2028.36,1310.27 2028.36,1322.49 2028.48,1322.49 2028.48,1334.71 2029.1,1334.71 2029.1,1346.93 2029.68,1346.93 \n",
       "  2029.68,1359.15 2029.78,1359.15 2029.78,1371.37 2030.4,1371.37 2030.4,1359.15 2030.48,1359.15 2030.48,1346.93 2030.91,1346.93 2030.91,1359.15 2031.41,1359.15 \n",
       "  2031.41,1371.37 2031.86,1371.37 2031.86,1383.59 2031.92,1383.59 2031.92,1371.37 2031.99,1371.37 2031.99,1383.59 2032.05,1383.59 2032.05,1371.37 2032.39,1371.37 \n",
       "  2032.39,1383.59 2033.16,1383.59 2033.16,1371.37 2033.25,1371.37 2033.25,1383.59 2033.32,1383.59 2033.32,1395.81 2033.88,1395.81 2033.88,1383.59 2034.49,1383.59 \n",
       "  2034.49,1371.37 2034.49,1371.37 2034.49,1359.15 2035,1359.15 2035,1371.37 2035.15,1371.37 2035.15,1383.59 2035.19,1383.59 2035.19,1395.81 2035.94,1395.81 \n",
       "  2035.94,1408.03 2035.98,1408.03 2035.98,1395.81 2036.16,1395.81 2036.16,1383.59 2036.81,1383.59 2036.81,1395.81 2037.06,1395.81 2037.06,1383.59 2037.6,1383.59 \n",
       "  2037.6,1395.81 2037.65,1395.81 2037.65,1383.59 2038.61,1383.59 2038.61,1371.37 2038.66,1371.37 2038.66,1383.59 2039.29,1383.59 2039.29,1371.37 2039.42,1371.37 \n",
       "  2039.42,1359.15 2039.8,1359.15 2039.8,1346.93 2039.81,1346.93 2039.81,1334.71 2040.08,1334.71 2040.08,1346.93 2040.42,1346.93 2040.42,1334.71 2040.63,1334.71 \n",
       "  2040.63,1322.49 2040.99,1322.49 2040.99,1310.27 2041.06,1310.27 2041.06,1322.49 2041.84,1322.49 2041.84,1334.71 2042.18,1334.71 2042.18,1346.93 2042.29,1346.93 \n",
       "  2042.29,1359.15 2042.43,1359.15 2042.43,1346.93 2042.65,1346.93 2042.65,1359.15 2042.71,1359.15 2042.71,1346.93 2042.72,1346.93 2042.72,1334.71 2044.53,1334.71 \n",
       "  2044.53,1346.93 2045.02,1346.93 2045.02,1334.71 2045.07,1334.71 2045.07,1322.49 2045.15,1322.49 2045.15,1310.27 2045.2,1310.27 2045.2,1298.05 2045.49,1298.05 \n",
       "  2045.49,1285.83 2046.1,1285.83 2046.1,1273.61 2046.18,1273.61 2046.18,1261.39 2046.45,1261.39 2046.45,1273.61 2046.71,1273.61 2046.71,1261.39 2046.99,1261.39 \n",
       "  2046.99,1249.17 2047.29,1249.17 2047.29,1236.95 2047.35,1236.95 2047.35,1224.74 2048.33,1224.74 2048.33,1236.95 2048.42,1236.95 2048.42,1224.74 2049.06,1224.74 \n",
       "  2049.06,1212.52 2049.09,1212.52 2049.09,1224.74 2049.18,1224.74 2049.18,1212.52 2049.73,1212.52 2049.73,1224.74 2050.33,1224.74 2050.33,1212.52 2050.44,1212.52 \n",
       "  2050.44,1224.74 2050.73,1224.74 2050.73,1236.95 2050.82,1236.95 2050.82,1249.17 2050.93,1249.17 2050.93,1236.95 2051.03,1236.95 2051.03,1249.17 2051.81,1249.17 \n",
       "  2051.81,1261.39 2051.85,1261.39 2051.85,1273.61 2051.86,1273.61 2051.86,1261.39 2052.21,1261.39 2052.21,1249.17 2052.68,1249.17 2052.68,1236.95 2052.9,1236.95 \n",
       "  2052.9,1224.74 2053.08,1224.74 2053.08,1212.52 2053.21,1212.52 2053.21,1224.74 2053.21,1224.74 2053.21,1212.52 2054.48,1212.52 2054.48,1200.3 2054.82,1200.3 \n",
       "  2054.82,1212.52 2055.4,1212.52 2055.4,1200.3 2055.6,1200.3 2055.6,1212.52 2055.97,1212.52 2055.97,1224.74 2056.01,1224.74 2056.01,1212.52 2056.03,1212.52 \n",
       "  2056.03,1224.74 2056.13,1224.74 2056.13,1236.95 2056.57,1236.95 2056.57,1224.74 2056.99,1224.74 2056.99,1236.95 2057.09,1236.95 2057.09,1224.74 2057.7,1224.74 \n",
       "  2057.7,1236.95 2057.84,1236.95 2057.84,1224.74 2058.36,1224.74 2058.36,1236.95 2058.69,1236.95 2058.69,1224.74 2059.37,1224.74 2059.37,1236.95 2059.96,1236.95 \n",
       "  2059.96,1224.74 2060.42,1224.74 2060.42,1212.52 2060.68,1212.52 2060.68,1200.3 2060.91,1200.3 2060.91,1212.52 2061.18,1212.52 2061.18,1224.74 2061.27,1224.74 \n",
       "  2061.27,1236.95 2062.13,1236.95 2062.13,1224.74 2062.26,1224.74 2062.26,1212.52 2062.91,1212.52 2062.91,1200.3 2063.01,1200.3 2063.01,1188.08 2063.08,1188.08 \n",
       "  2063.08,1175.86 2063.11,1175.86 2063.11,1163.64 2063.8,1163.64 2063.8,1151.42 2064.16,1151.42 2064.16,1139.2 2064.18,1139.2 2064.18,1151.42 2064.65,1151.42 \n",
       "  2064.65,1163.64 2065.14,1163.64 2065.14,1151.42 2065.68,1151.42 2065.68,1163.64 2066.83,1163.64 2066.83,1175.86 2066.83,1175.86 2066.83,1163.64 2067.02,1163.64 \n",
       "  2067.02,1175.86 2067.13,1175.86 2067.13,1188.08 2067.27,1188.08 2067.27,1175.86 2067.53,1175.86 2067.53,1163.64 2068.12,1163.64 2068.12,1151.42 2068.2,1151.42 \n",
       "  2068.2,1163.64 2068.46,1163.64 2068.46,1151.42 2068.71,1151.42 2068.71,1139.2 2068.75,1139.2 2068.75,1151.42 2068.8,1151.42 2068.8,1163.64 2069.06,1163.64 \n",
       "  2069.06,1175.86 2069.61,1175.86 2069.61,1188.08 2070.03,1188.08 2070.03,1200.3 2070.14,1200.3 2070.14,1212.52 2071.45,1212.52 2071.45,1224.74 2071.59,1224.74 \n",
       "  2071.59,1212.52 2072.17,1212.52 2072.17,1200.3 2072.58,1200.3 2072.58,1212.52 2072.94,1212.52 2072.94,1224.74 2073.4,1224.74 2073.4,1236.95 2074.14,1236.95 \n",
       "  2074.14,1249.17 2074.6,1249.17 2074.6,1236.95 2074.74,1236.95 2074.74,1249.17 2074.84,1249.17 2074.84,1261.39 2075.25,1261.39 2075.25,1273.61 2075.61,1273.61 \n",
       "  2075.61,1261.39 2075.77,1261.39 2075.77,1273.61 2075.79,1273.61 2075.79,1261.39 2076.1,1261.39 2076.1,1249.17 2076.59,1249.17 2076.59,1236.95 2077.47,1236.95 \n",
       "  2077.47,1224.74 2077.93,1224.74 2077.93,1212.52 2078.23,1212.52 2078.23,1200.3 2078.85,1200.3 2078.85,1212.52 2079.35,1212.52 2079.35,1200.3 2079.78,1200.3 \n",
       "  2079.78,1188.08 2080.1,1188.08 2080.1,1175.86 2080.18,1175.86 2080.18,1188.08 2081.18,1188.08 2081.18,1200.3 2081.74,1200.3 2081.74,1188.08 2081.91,1188.08 \n",
       "  2081.91,1175.86 2081.92,1175.86 2081.92,1188.08 2082.94,1188.08 2082.94,1200.3 2083.83,1200.3 2083.83,1188.08 2084.18,1188.08 2084.18,1175.86 2084.88,1175.86 \n",
       "  2084.88,1188.08 2085.33,1188.08 2085.33,1175.86 2085.57,1175.86 2085.57,1188.08 2086.38,1188.08 2086.38,1200.3 2086.99,1200.3 2086.99,1188.08 2087.56,1188.08 \n",
       "  2087.56,1200.3 2088.42,1200.3 2088.42,1212.52 2089.23,1212.52 2089.23,1200.3 2089.34,1200.3 2089.34,1212.52 2089.4,1212.52 2089.4,1224.74 2089.88,1224.74 \n",
       "  2089.88,1236.95 2090.07,1236.95 2090.07,1249.17 2090.09,1249.17 2090.09,1236.95 2090.13,1236.95 2090.13,1249.17 2090.19,1249.17 2090.19,1236.95 2090.47,1236.95 \n",
       "  2090.47,1249.17 2091.08,1249.17 2091.08,1236.95 2091.68,1236.95 2091.68,1249.17 2091.89,1249.17 2091.89,1236.95 2091.97,1236.95 2091.97,1224.74 2092.18,1224.74 \n",
       "  2092.18,1212.52 2092.25,1212.52 2092.25,1200.3 2092.34,1200.3 2092.34,1188.08 2092.55,1188.08 2092.55,1200.3 2092.8,1200.3 2092.8,1212.52 2092.84,1212.52 \n",
       "  2092.84,1224.74 2094.07,1224.74 2094.07,1236.95 2094.46,1236.95 2094.46,1224.74 2094.52,1224.74 2094.52,1236.95 2095.56,1236.95 2095.56,1249.17 2096.26,1249.17 \n",
       "  2096.26,1236.95 2096.37,1236.95 2096.37,1249.17 2096.7,1249.17 2096.7,1236.95 2096.84,1236.95 2096.84,1224.74 2097.25,1224.74 2097.25,1212.52 2097.27,1212.52 \n",
       "  2097.27,1224.74 2097.53,1224.74 2097.53,1236.95 2097.6,1236.95 2097.6,1249.17 2097.62,1249.17 2097.62,1236.95 2097.96,1236.95 2097.96,1249.17 2098.07,1249.17 \n",
       "  2098.07,1261.39 2098.67,1261.39 2098.67,1249.17 2098.8,1249.17 2098.8,1236.95 2099.4,1236.95 2099.4,1224.74 2099.55,1224.74 2099.55,1236.95 2100.18,1236.95 \n",
       "  2100.18,1249.17 2100.58,1249.17 2100.58,1236.95 2101.64,1236.95 2101.64,1249.17 2103.8,1249.17 2103.8,1236.95 2104.21,1236.95 2104.21,1249.17 2104.33,1249.17 \n",
       "  2104.33,1261.39 2104.37,1261.39 2104.37,1249.17 2104.93,1249.17 2104.93,1236.95 2105.02,1236.95 2105.02,1224.74 2105.28,1224.74 2105.28,1212.52 2105.31,1212.52 \n",
       "  2105.31,1224.74 2106.15,1224.74 2106.15,1236.95 2106.9,1236.95 2106.9,1249.17 2107.29,1249.17 2107.29,1236.95 2107.37,1236.95 2107.37,1249.17 2107.46,1249.17 \n",
       "  2107.46,1261.39 2107.5,1261.39 2107.5,1273.61 2107.99,1273.61 2107.99,1261.39 2108.06,1261.39 2108.06,1249.17 2108.1,1249.17 2108.1,1236.95 2108.17,1236.95 \n",
       "  2108.17,1249.17 2108.41,1249.17 2108.41,1261.39 2108.73,1261.39 2108.73,1273.61 2108.78,1273.61 2108.78,1261.39 2109.73,1261.39 2109.73,1249.17 2109.86,1249.17 \n",
       "  2109.86,1261.39 2109.97,1261.39 2109.97,1273.61 2110.16,1273.61 2110.16,1261.39 2110.73,1261.39 2110.73,1249.17 2110.73,1249.17 2110.73,1261.39 2111.18,1261.39 \n",
       "  2111.18,1249.17 2111.46,1249.17 2111.46,1236.95 2111.63,1236.95 2111.63,1249.17 2112.19,1249.17 2112.19,1261.39 2112.24,1261.39 2112.24,1273.61 2112.84,1273.61 \n",
       "  2112.84,1285.83 2113.05,1285.83 2113.05,1298.05 2113.08,1298.05 2113.08,1310.27 2113.47,1310.27 2113.47,1298.05 2113.47,1298.05 2113.47,1285.83 2114.07,1285.83 \n",
       "  2114.07,1273.61 2114.76,1273.61 2114.76,1285.83 2115.04,1285.83 2115.04,1273.61 2115.23,1273.61 2115.23,1285.83 2115.42,1285.83 2115.42,1298.05 2115.62,1298.05 \n",
       "  2115.62,1310.27 2115.83,1310.27 2115.83,1298.05 2115.95,1298.05 2115.95,1285.83 2116,1285.83 2116,1298.05 2116.36,1298.05 2116.36,1310.27 2116.89,1310.27 \n",
       "  2116.89,1298.05 2116.9,1298.05 2116.9,1310.27 2117.03,1310.27 2117.03,1322.49 2117.28,1322.49 2117.28,1310.27 2117.92,1310.27 2117.92,1322.49 2117.92,1322.49 \n",
       "  2117.92,1334.71 2117.93,1334.71 2117.93,1322.49 2118.71,1322.49 2118.71,1310.27 2118.8,1310.27 2118.8,1322.49 2119.28,1322.49 2119.28,1310.27 2119.99,1310.27 \n",
       "  2119.99,1298.05 2121.2,1298.05 2121.2,1310.27 2121.68,1310.27 2121.68,1298.05 2121.95,1298.05 2121.95,1285.83 2122.08,1285.83 2122.08,1273.61 2122.43,1273.61 \n",
       "  2122.43,1261.39 2122.52,1261.39 2122.52,1273.61 2122.93,1273.61 2122.93,1261.39 2123.93,1261.39 2123.93,1273.61 2124.07,1273.61 2124.07,1261.39 2124.45,1261.39 \n",
       "  2124.45,1273.61 2124.77,1273.61 2124.77,1285.83 2124.95,1285.83 2124.95,1298.05 2125.22,1298.05 2125.22,1310.27 2125.3,1310.27 2125.3,1322.49 2125.42,1322.49 \n",
       "  2125.42,1334.71 2126.2,1334.71 2126.2,1346.93 2126.36,1346.93 2126.36,1359.15 2127.46,1359.15 2127.46,1371.37 2128.05,1371.37 2128.05,1359.15 2128.12,1359.15 \n",
       "  2128.12,1371.37 2128.18,1371.37 2128.18,1383.59 2128.6,1383.59 2128.6,1371.37 2128.84,1371.37 2128.84,1383.59 2130.79,1383.59 2130.79,1371.37 2130.8,1371.37 \n",
       "  2130.8,1383.59 2131.05,1383.59 2131.05,1395.81 2131.14,1395.81 2131.14,1383.59 2131.34,1383.59 2131.34,1371.37 2131.6,1371.37 2131.6,1383.59 2131.69,1383.59 \n",
       "  2131.69,1371.37 2131.89,1371.37 2131.89,1383.59 2132.07,1383.59 2132.07,1371.37 2132.08,1371.37 2132.08,1383.59 2132.17,1383.59 2132.17,1371.37 2132.41,1371.37 \n",
       "  2132.41,1359.15 2132.63,1359.15 2132.63,1346.93 2132.78,1346.93 2132.78,1334.71 2133.3,1334.71 2133.3,1346.93 2133.41,1346.93 2133.41,1359.15 2133.86,1359.15 \n",
       "  2133.86,1346.93 2134.52,1346.93 2134.52,1334.71 2134.59,1334.71 2134.59,1346.93 2134.98,1346.93 2134.98,1359.15 2135.96,1359.15 2135.96,1346.93 2136.39,1346.93 \n",
       "  2136.39,1359.15 2136.39,1359.15 2136.39,1371.37 2136.63,1371.37 2136.63,1383.59 2137.64,1383.59 2137.64,1395.81 2137.88,1395.81 2137.88,1408.03 2137.92,1408.03 \n",
       "  2137.92,1395.81 2138.07,1395.81 2138.07,1408.03 2139.07,1408.03 2139.07,1420.25 2139.2,1420.25 2139.2,1408.03 2139.2,1408.03 2139.2,1395.81 2140.14,1395.81 \n",
       "  2140.14,1383.59 2140.78,1383.59 2140.78,1395.81 2140.83,1395.81 2140.83,1408.03 2141.1,1408.03 2141.1,1420.25 2141.11,1420.25 2141.11,1408.03 2141.26,1408.03 \n",
       "  2141.26,1420.25 2141.83,1420.25 2141.83,1408.03 2141.93,1408.03 2141.93,1395.81 2142.02,1395.81 2142.02,1408.03 2142.27,1408.03 2142.27,1395.81 2142.28,1395.81 \n",
       "  2142.28,1408.03 2143.13,1408.03 2143.13,1395.81 2143.64,1395.81 2143.64,1408.03 2143.98,1408.03 2143.98,1395.81 2144.35,1395.81 2144.35,1383.59 2144.85,1383.59 \n",
       "  2144.85,1395.81 2145.81,1395.81 2145.81,1383.59 2146.09,1383.59 2146.09,1395.81 2146.58,1395.81 2146.58,1408.03 2146.93,1408.03 2146.93,1395.81 2147.11,1395.81 \n",
       "  2147.11,1408.03 2147.19,1408.03 2147.19,1420.25 2147.42,1420.25 2147.42,1432.47 2147.56,1432.47 2147.56,1420.25 2147.74,1420.25 2147.74,1408.03 2147.83,1408.03 \n",
       "  2147.83,1395.81 2148.09,1395.81 2148.09,1408.03 2148.42,1408.03 2148.42,1395.81 2149.07,1395.81 2149.07,1408.03 2149.22,1408.03 2149.22,1420.25 2149.36,1420.25 \n",
       "  2149.36,1408.03 2149.63,1408.03 2149.63,1420.25 2150.67,1420.25 2150.67,1432.47 2150.78,1432.47 2150.78,1420.25 2150.86,1420.25 2150.86,1432.47 2150.93,1432.47 \n",
       "  2150.93,1420.25 2151.03,1420.25 2151.03,1408.03 2151.15,1408.03 2151.15,1395.81 2151.9,1395.81 2151.9,1383.59 2152.12,1383.59 2152.12,1371.37 2153.09,1371.37 \n",
       "  2153.09,1383.59 2153.93,1383.59 2153.93,1371.37 2155.1,1371.37 2155.1,1359.15 2157.01,1359.15 2157.01,1346.93 2157.07,1346.93 2157.07,1359.15 2157.32,1359.15 \n",
       "  2157.32,1371.37 2157.67,1371.37 2157.67,1383.59 2158.22,1383.59 2158.22,1395.81 2158.25,1395.81 2158.25,1383.59 2158.29,1383.59 2158.29,1371.37 2159.07,1371.37 \n",
       "  2159.07,1359.15 2159.13,1359.15 2159.13,1371.37 2159.29,1371.37 2159.29,1383.59 2159.68,1383.59 2159.68,1395.81 2159.97,1395.81 2159.97,1383.59 2160.82,1383.59 \n",
       "  2160.82,1395.81 2160.93,1395.81 2160.93,1408.03 2160.99,1408.03 2160.99,1395.81 2161.36,1395.81 2161.36,1408.03 2162.26,1408.03 2162.26,1420.25 2162.37,1420.25 \n",
       "  2162.37,1408.03 2162.64,1408.03 2162.64,1420.25 2163.11,1420.25 2163.11,1432.47 2163.8,1432.47 2163.8,1420.25 2163.89,1420.25 2163.89,1408.03 2163.98,1408.03 \n",
       "  2163.98,1420.25 2164.17,1420.25 2164.17,1432.47 2164.24,1432.47 2164.24,1444.69 2164.72,1444.69 2164.72,1456.91 2164.76,1456.91 2164.76,1444.69 2164.95,1444.69 \n",
       "  2164.95,1456.91 2166.06,1456.91 2166.06,1444.69 2166.76,1444.69 2166.76,1432.47 2166.85,1432.47 2166.85,1444.69 2166.93,1444.69 2166.93,1456.91 2168.1,1456.91 \n",
       "  2168.1,1444.69 2168.13,1444.69 2168.13,1432.47 2168.27,1432.47 2168.27,1420.25 2169.02,1420.25 2169.02,1408.03 2169.13,1408.03 2169.13,1420.25 2169.54,1420.25 \n",
       "  2169.54,1408.03 2169.63,1408.03 2169.63,1420.25 2169.67,1420.25 2169.67,1432.47 2169.69,1432.47 2169.69,1420.25 2169.9,1420.25 2169.9,1408.03 2169.96,1408.03 \n",
       "  2169.96,1395.81 2170.33,1395.81 2170.33,1383.59 2171.07,1383.59 2171.07,1395.81 2171.21,1395.81 2171.21,1408.03 2171.22,1408.03 2171.22,1395.81 2171.42,1395.81 \n",
       "  2171.42,1408.03 2171.44,1408.03 2171.44,1395.81 2171.5,1395.81 2171.5,1408.03 2171.69,1408.03 2171.69,1420.25 2172.61,1420.25 2172.61,1408.03 2172.88,1408.03 \n",
       "  2172.88,1420.25 2172.96,1420.25 2172.96,1432.47 2173.22,1432.47 2173.22,1420.25 2173.61,1420.25 2173.61,1408.03 2173.83,1408.03 2173.83,1395.81 2173.9,1395.81 \n",
       "  2173.9,1408.03 2175.19,1408.03 2175.19,1395.81 2175.19,1395.81 2175.19,1408.03 2175.52,1408.03 2175.52,1420.25 2176.13,1420.25 2176.13,1432.47 2176.26,1432.47 \n",
       "  2176.26,1444.69 2176.74,1444.69 2176.74,1432.47 2176.95,1432.47 2176.95,1420.25 2176.99,1420.25 2176.99,1432.47 2177.39,1432.47 2177.39,1420.25 2177.85,1420.25 \n",
       "  2177.85,1432.47 2177.89,1432.47 2177.89,1444.69 2178.38,1444.69 2178.38,1432.47 2178.44,1432.47 2178.44,1444.69 2178.48,1444.69 2178.48,1432.47 2178.92,1432.47 \n",
       "  2178.92,1444.69 2179.08,1444.69 2179.08,1456.91 2179.48,1456.91 2179.48,1444.69 2179.94,1444.69 2179.94,1456.91 2180.04,1456.91 2180.04,1444.69 2180.61,1444.69 \n",
       "  2180.61,1432.47 2181.69,1432.47 2181.69,1420.25 2182.33,1420.25 2182.33,1408.03 2182.88,1408.03 2182.88,1395.81 2183.39,1395.81 2183.39,1383.59 2183.51,1383.59 \n",
       "  2183.51,1371.37 2183.55,1371.37 2183.55,1383.59 2183.7,1383.59 2183.7,1371.37 2183.75,1371.37 2183.75,1359.15 2183.75,1359.15 2183.75,1371.37 2183.77,1371.37 \n",
       "  2183.77,1383.59 2184.38,1383.59 2184.38,1371.37 2184.61,1371.37 2184.61,1383.59 2185.56,1383.59 2185.56,1395.81 2186.34,1395.81 2186.34,1408.03 2186.38,1408.03 \n",
       "  2186.38,1420.25 2187.16,1420.25 2187.16,1432.47 2187.17,1432.47 2187.17,1444.69 2187.22,1444.69 2187.22,1432.47 2187.33,1432.47 2187.33,1420.25 2187.85,1420.25 \n",
       "  2187.85,1408.03 2188.27,1408.03 2188.27,1395.81 2189.1,1395.81 2189.1,1383.59 2189.31,1383.59 2189.31,1371.37 2189.52,1371.37 2189.52,1359.15 2189.82,1359.15 \n",
       "  2189.82,1371.37 2191.11,1371.37 2191.11,1359.15 2191.48,1359.15 2191.48,1371.37 2191.82,1371.37 2191.82,1383.59 2192,1383.59 2192,1371.37 2192.05,1371.37 \n",
       "  2192.05,1383.59 2193.4,1383.59 2193.4,1371.37 2193.42,1371.37 2193.42,1359.15 2193.55,1359.15 2193.55,1371.37 2193.92,1371.37 2193.92,1383.59 2194.13,1383.59 \n",
       "  2194.13,1395.81 2194.15,1395.81 2194.15,1383.59 2194.46,1383.59 2194.46,1395.81 2194.57,1395.81 2194.57,1408.03 2195.56,1408.03 2195.56,1420.25 2195.59,1420.25 \n",
       "  2195.59,1408.03 2195.69,1408.03 2195.69,1420.25 2196.43,1420.25 2196.43,1432.47 2196.56,1432.47 2196.56,1444.69 2196.83,1444.69 2196.83,1432.47 2197.06,1432.47 \n",
       "  2197.06,1420.25 2197.67,1420.25 2197.67,1408.03 2197.76,1408.03 2197.76,1395.81 2198.49,1395.81 2198.49,1408.03 2198.91,1408.03 2198.91,1420.25 2200.02,1420.25 \n",
       "  2200.02,1408.03 2200.22,1408.03 2200.22,1395.81 2200.24,1395.81 2200.24,1408.03 2200.37,1408.03 2200.37,1420.25 2200.37,1420.25 2200.37,1408.03 2200.59,1408.03 \n",
       "  2200.59,1395.81 2200.59,1395.81 2200.59,1383.59 2200.74,1383.59 2200.74,1395.81 2201.24,1395.81 2201.24,1408.03 2201.98,1408.03 2201.98,1395.81 2202.37,1395.81 \n",
       "  2202.37,1408.03 2203.07,1408.03 2203.07,1395.81 2203.09,1395.81 2203.09,1383.59 2203.32,1383.59 2203.32,1395.81 2203.33,1395.81 2203.33,1408.03 2203.34,1408.03 \n",
       "  2203.34,1395.81 2203.84,1395.81 2203.84,1408.03 2204.07,1408.03 2204.07,1395.81 2204.52,1395.81 2204.52,1408.03 2204.67,1408.03 2204.67,1420.25 2205.02,1420.25 \n",
       "  2205.02,1432.47 2205.11,1432.47 2205.11,1420.25 2205.36,1420.25 2205.36,1408.03 2205.66,1408.03 2205.66,1420.25 2205.82,1420.25 2205.82,1408.03 2205.88,1408.03 \n",
       "  2205.88,1420.25 2205.95,1420.25 2205.95,1432.47 2206.06,1432.47 2206.06,1420.25 2206.26,1420.25 2206.26,1408.03 2206.43,1408.03 2206.43,1420.25 2207.75,1420.25 \n",
       "  2207.75,1408.03 2208.04,1408.03 2208.04,1395.81 2208.08,1395.81 2208.08,1383.59 2208.5,1383.59 2208.5,1395.81 2208.64,1395.81 2208.64,1408.03 2208.68,1408.03 \n",
       "  2208.68,1395.81 2208.85,1395.81 2208.85,1408.03 2208.9,1408.03 2208.9,1420.25 2209.75,1420.25 2209.75,1432.47 2209.77,1432.47 2209.77,1420.25 2209.96,1420.25 \n",
       "  2209.96,1408.03 2210.35,1408.03 2210.35,1420.25 2210.76,1420.25 2210.76,1408.03 2210.83,1408.03 2210.83,1420.25 2210.9,1420.25 2210.9,1408.03 2211.31,1408.03 \n",
       "  2211.31,1420.25 2211.35,1420.25 2211.35,1432.47 2211.56,1432.47 2211.56,1420.25 2211.97,1420.25 2211.97,1408.03 2212.13,1408.03 2212.13,1420.25 2212.83,1420.25 \n",
       "  2212.83,1432.47 2213.02,1432.47 2213.02,1420.25 2214.33,1420.25 2214.33,1432.47 2214.51,1432.47 2214.51,1420.25 2214.85,1420.25 2214.85,1408.03 2214.92,1408.03 \n",
       "  2214.92,1395.81 2215.42,1395.81 2215.42,1408.03 2216.11,1408.03 2216.11,1420.25 2216.15,1420.25 2216.15,1432.47 2216.39,1432.47 2216.39,1444.69 2216.85,1444.69 \n",
       "  2216.85,1432.47 2217.04,1432.47 2217.04,1444.69 2217.67,1444.69 2217.67,1456.91 2220.6,1456.91 2220.6,1444.69 2220.61,1444.69 2220.61,1456.91 2221.02,1456.91 \n",
       "  2221.02,1444.69 2221.54,1444.69 2221.54,1456.91 2222.91,1456.91 2222.91,1444.69 2223.56,1444.69 2223.56,1432.47 2223.6,1432.47 2223.6,1420.25 2223.62,1420.25 \n",
       "  2223.62,1432.47 2224.49,1432.47 2224.49,1444.69 2224.51,1444.69 2224.51,1432.47 2224.91,1432.47 2224.91,1420.25 2225.21,1420.25 2225.21,1408.03 2225.37,1408.03 \n",
       "  2225.37,1395.81 2226.81,1395.81 2226.81,1383.59 2226.82,1383.59 2226.82,1395.81 2226.84,1395.81 2226.84,1408.03 2227.11,1408.03 2227.11,1420.25 2227.19,1420.25 \n",
       "  2227.19,1432.47 2227.5,1432.47 2227.5,1420.25 2228.02,1420.25 2228.02,1432.47 2228.12,1432.47 2228.12,1444.69 2228.72,1444.69 2228.72,1456.91 2229.27,1456.91 \n",
       "  2229.27,1444.69 2229.95,1444.69 2229.95,1456.91 2230.49,1456.91 2230.49,1444.69 2230.6,1444.69 2230.6,1456.91 2230.78,1456.91 2230.78,1444.69 2231.32,1444.69 \n",
       "  2231.32,1456.91 2231.42,1456.91 2231.42,1444.69 2231.44,1444.69 2231.44,1432.47 2231.67,1432.47 2231.67,1444.69 2231.76,1444.69 2231.76,1456.91 2231.94,1456.91 \n",
       "  2231.94,1444.69 2232.01,1444.69 2232.01,1432.47 2232.33,1432.47 2232.33,1420.25 2232.43,1420.25 2232.43,1408.03 2232.44,1408.03 2232.44,1395.81 2232.64,1395.81 \n",
       "  2232.64,1408.03 2232.67,1408.03 2232.67,1395.81 2232.82,1395.81 2232.82,1408.03 2233.16,1408.03 2233.16,1420.25 2234.48,1420.25 2234.48,1408.03 2234.55,1408.03 \n",
       "  2234.55,1420.25 2234.57,1420.25 2234.57,1408.03 2235.02,1408.03 2235.02,1395.81 2235.56,1395.81 2235.56,1408.03 2236.59,1408.03 2236.59,1420.25 2236.66,1420.25 \n",
       "  2236.66,1408.03 2236.91,1408.03 2236.91,1420.25 2237.3,1420.25 2237.3,1432.47 2237.4,1432.47 2237.4,1420.25 2238.23,1420.25 2238.23,1432.47 2238.27,1432.47 \n",
       "  2238.27,1420.25 2238.32,1420.25 2238.32,1408.03 2238.49,1408.03 2238.49,1395.81 2238.61,1395.81 2238.61,1408.03 2238.64,1408.03 2238.64,1420.25 2239.38,1420.25 \n",
       "  2239.38,1408.03 2240.1,1408.03 2240.1,1395.81 2240.23,1395.81 2240.23,1408.03 2240.45,1408.03 2240.45,1420.25 2240.81,1420.25 2240.81,1432.47 2242.1,1432.47 \n",
       "  2242.1,1420.25 2242.65,1420.25 2242.65,1432.47 2243.24,1432.47 2243.24,1444.69 2243.56,1444.69 2243.56,1456.91 2245.88,1456.91 2245.88,1444.69 2246.65,1444.69 \n",
       "  2246.65,1456.91 2247.1,1456.91 2247.1,1444.69 2247.58,1444.69 2247.58,1432.47 2247.86,1432.47 2247.86,1444.69 2248.03,1444.69 2248.03,1456.91 2248.74,1456.91 \n",
       "  2248.74,1444.69 2248.94,1444.69 2248.94,1432.47 2250.14,1432.47 2250.14,1444.69 2250.8,1444.69 2250.8,1432.47 2250.9,1432.47 2250.9,1420.25 2252.16,1420.25 \n",
       "  2252.16,1408.03 2252.42,1408.03 2252.42,1395.81 2252.53,1395.81 2252.53,1383.59 2252.83,1383.59 2252.83,1395.81 2253.07,1395.81 2253.07,1383.59 2253.84,1383.59 \n",
       "  2253.84,1395.81 2254.26,1395.81 2254.26,1408.03 2254.51,1408.03 2254.51,1395.81 2254.62,1395.81 2254.62,1408.03 2254.67,1408.03 2254.67,1395.81 2254.98,1395.81 \n",
       "  2254.98,1408.03 2255.26,1408.03 2255.26,1420.25 2256.27,1420.25 2256.27,1432.47 2256.51,1432.47 2256.51,1420.25 2256.53,1420.25 2256.53,1432.47 2256.58,1432.47 \n",
       "  2256.58,1420.25 2257.12,1420.25 2257.12,1408.03 2257.7,1408.03 2257.7,1420.25 2258.12,1420.25 2258.12,1408.03 2258.2,1408.03 2258.2,1420.25 2258.46,1420.25 \n",
       "  2258.46,1432.47 2259.43,1432.47 2259.43,1444.69 2259.78,1444.69 2259.78,1432.47 2259.89,1432.47 2259.89,1444.69 2260.21,1444.69 2260.21,1432.47 2260.63,1432.47 \n",
       "  2260.63,1444.69 2260.77,1444.69 2260.77,1456.91 2261.42,1456.91 2261.42,1444.69 2261.59,1444.69 2261.59,1456.91 2262.6,1456.91 2262.6,1444.69 2262.64,1444.69 \n",
       "  2262.64,1456.91 2264.22,1456.91 2264.22,1444.69 2264.41,1444.69 2264.41,1432.47 2264.44,1432.47 2264.44,1444.69 2264.7,1444.69 2264.7,1456.91 2265.13,1456.91 \n",
       "  2265.13,1444.69 2265.18,1444.69 2265.18,1432.47 2265.52,1432.47 2265.52,1420.25 2265.71,1420.25 2265.71,1408.03 2265.85,1408.03 2265.85,1420.25 2266.02,1420.25 \n",
       "  2266.02,1408.03 2266.25,1408.03 2266.25,1395.81 2266.31,1395.81 2266.31,1383.59 2266.37,1383.59 2266.37,1395.81 2266.68,1395.81 2266.68,1408.03 2267.85,1408.03 \n",
       "  2267.85,1395.81 2268.48,1395.81 2268.48,1383.59 2268.5,1383.59 2268.5,1371.37 2268.73,1371.37 2268.73,1383.59 2268.78,1383.59 2268.78,1395.81 2269.45,1395.81 \n",
       "  2269.45,1383.59 2269.71,1383.59 2269.71,1371.37 2270.04,1371.37 2270.04,1383.59 2270.07,1383.59 2270.07,1371.37 2271.04,1371.37 2271.04,1359.15 2271.17,1359.15 \n",
       "  2271.17,1346.93 2271.64,1346.93 2271.64,1334.71 2272.46,1334.71 2272.46,1322.49 2273.42,1322.49 2273.42,1334.71 2273.62,1334.71 2273.62,1322.49 2273.81,1322.49 \n",
       "  2273.81,1310.27 2274.06,1310.27 2274.06,1322.49 2274.22,1322.49 2274.22,1334.71 2274.49,1334.71 2274.49,1322.49 2274.53,1322.49 2274.53,1334.71 2274.7,1334.71 \n",
       "  2274.7,1346.93 2274.81,1346.93 2274.81,1359.15 2275.58,1359.15 2275.58,1371.37 2275.92,1371.37 2275.92,1383.59 2276.07,1383.59 2276.07,1371.37 2276.11,1371.37 \n",
       "  2276.11,1359.15 2276.16,1359.15 2276.16,1346.93 2276.38,1346.93 2276.38,1359.15 2276.39,1359.15 2276.39,1371.37 2276.58,1371.37 2276.58,1359.15 2276.61,1359.15 \n",
       "  2276.61,1346.93 2276.68,1346.93 2276.68,1359.15 2276.69,1359.15 2276.69,1371.37 2276.99,1371.37 2276.99,1359.15 2277.28,1359.15 2277.28,1346.93 2278,1346.93 \n",
       "  2278,1359.15 2278.22,1359.15 2278.22,1346.93 2278.22,1346.93 2278.22,1359.15 2278.79,1359.15 2278.79,1371.37 2278.97,1371.37 2278.97,1383.59 2279.17,1383.59 \n",
       "  2279.17,1395.81 2279.35,1395.81 2279.35,1408.03 2279.48,1408.03 2279.48,1395.81 2279.55,1395.81 2279.55,1408.03 2279.58,1408.03 2279.58,1420.25 2280.25,1420.25 \n",
       "  2280.25,1408.03 2280.39,1408.03 2280.39,1395.81 2280.56,1395.81 2280.56,1383.59 2281.12,1383.59 2281.12,1395.81 2281.58,1395.81 2281.58,1408.03 2281.75,1408.03 \n",
       "  2281.75,1420.25 2282.09,1420.25 2282.09,1408.03 2282.14,1408.03 2282.14,1395.81 2282.92,1395.81 2282.92,1383.59 2282.96,1383.59 2282.96,1395.81 2283.02,1395.81 \n",
       "  2283.02,1383.59 2283.52,1383.59 2283.52,1371.37 2283.6,1371.37 2283.6,1383.59 2283.87,1383.59 2283.87,1371.37 2284.65,1371.37 2284.65,1383.59 2284.87,1383.59 \n",
       "  2284.87,1395.81 2284.87,1395.81 2284.87,1408.03 2285.79,1408.03 2285.79,1395.81 2286.5,1395.81 2286.5,1383.59 2286.52,1383.59 2286.52,1395.81 2287.27,1395.81 \n",
       "  2287.27,1383.59 2287.63,1383.59 2287.63,1395.81 2287.69,1395.81 2287.69,1408.03 2287.83,1408.03 2287.83,1395.81 2288.51,1395.81 2288.51,1383.59 2288.7,1383.59 \n",
       "  2288.7,1395.81 2288.71,1395.81 2288.71,1408.03 2289.4,1408.03 2289.4,1420.25 2289.47,1420.25 2289.47,1408.03 2289.62,1408.03 2289.62,1395.81 2289.8,1395.81 \n",
       "  2289.8,1383.59 2289.81,1383.59 2289.81,1371.37 2290.05,1371.37 2290.05,1359.15 2290.14,1359.15 2290.14,1371.37 2290.31,1371.37 2290.31,1383.59 2290.66,1383.59 \n",
       "  2290.66,1395.81 2290.78,1395.81 2290.78,1383.59 2291.34,1383.59 2291.34,1395.81 2291.63,1395.81 2291.63,1383.59 2292.17,1383.59 2292.17,1371.37 2292.69,1371.37 \n",
       "  2292.69,1383.59 2292.82,1383.59 2292.82,1371.37 2292.9,1371.37 2292.9,1359.15 2294.04,1359.15 2294.04,1346.93 2294.05,1346.93 2294.05,1359.15 2294.42,1359.15 \n",
       "  2294.42,1346.93 2294.52,1346.93 2294.52,1359.15 2294.66,1359.15 2294.66,1371.37 2295.43,1371.37 2295.43,1383.59 2295.68,1383.59 2295.68,1371.37 2295.89,1371.37 \n",
       "  2295.89,1359.15 2296.1,1359.15 2296.1,1346.93 2296.21,1346.93 2296.21,1359.15 2296.46,1359.15 2296.46,1371.37 2297.08,1371.37 2297.08,1383.59 2297.81,1383.59 \n",
       "  2297.81,1371.37 2297.83,1371.37 2297.83,1359.15 2298.75,1359.15 2298.75,1371.37 2298.76,1371.37 2298.76,1359.15 2298.82,1359.15 2298.82,1371.37 2299.08,1371.37 \n",
       "  2299.08,1359.15 2299.12,1359.15 2299.12,1346.93 2300.19,1346.93 2300.19,1334.71 2300.91,1334.71 2300.91,1322.49 2302.81,1322.49 2302.81,1334.71 2303.6,1334.71 \n",
       "  2303.6,1322.49 2303.74,1322.49 2303.74,1310.27 2303.89,1310.27 2303.89,1322.49 2304.02,1322.49 2304.02,1334.71 2304.25,1334.71 2304.25,1346.93 2304.45,1346.93 \n",
       "  2304.45,1334.71 2304.94,1334.71 2304.94,1346.93 2305.28,1346.93 2305.28,1334.71 2305.32,1334.71 2305.32,1322.49 2306.56,1322.49 2306.56,1310.27 2306.77,1310.27 \n",
       "  2306.77,1322.49 2307.05,1322.49 2307.05,1310.27 2307.1,1310.27 2307.1,1298.05 2307.48,1298.05 2307.48,1310.27 2307.82,1310.27 2307.82,1322.49 2307.98,1322.49 \n",
       "  2307.98,1334.71 2308.03,1334.71 2308.03,1346.93 2308.79,1346.93 2308.79,1334.71 2309.57,1334.71 2309.57,1322.49 2309.59,1322.49 2309.59,1310.27 2309.65,1310.27 \n",
       "  2309.65,1322.49 2309.74,1322.49 2309.74,1334.71 2310.31,1334.71 2310.31,1346.93 2310.42,1346.93 2310.42,1334.71 2310.66,1334.71 2310.66,1322.49 2311.01,1322.49 \n",
       "  2311.01,1310.27 2311.44,1310.27 2311.44,1322.49 2311.49,1322.49 2311.49,1334.71 2311.5,1334.71 2311.5,1346.93 2311.69,1346.93 2311.69,1359.15 2311.77,1359.15 \n",
       "  2311.77,1346.93 2312.44,1346.93 2312.44,1334.71 2312.61,1334.71 2312.61,1346.93 2312.96,1346.93 2312.96,1334.71 2313.23,1334.71 2313.23,1346.93 2313.46,1346.93 \n",
       "  2313.46,1334.71 2313.64,1334.71 2313.64,1322.49 2313.72,1322.49 2313.72,1310.27 2314.69,1310.27 2314.69,1322.49 2314.81,1322.49 2314.81,1334.71 2314.94,1334.71 \n",
       "  2314.94,1322.49 2315.03,1322.49 2315.03,1310.27 2316.95,1310.27 2316.95,1322.49 2317.7,1322.49 2317.7,1310.27 2317.78,1310.27 2317.78,1322.49 2318.22,1322.49 \n",
       "  2318.22,1310.27 2318.76,1310.27 2318.76,1322.49 2318.84,1322.49 2318.84,1310.27 2319.38,1310.27 2319.38,1322.49 2319.61,1322.49 2319.61,1334.71 2320.28,1334.71 \n",
       "  2320.28,1322.49 2320.28,1322.49 2320.28,1334.71 2320.67,1334.71 2320.67,1322.49 2321.16,1322.49 2321.16,1310.27 2321.59,1310.27 2321.59,1298.05 2321.82,1298.05 \n",
       "  2321.82,1310.27 2322.66,1310.27 2322.66,1322.49 2323.01,1322.49 2323.01,1310.27 2323.91,1310.27 2323.91,1298.05 2323.93,1298.05 2323.93,1310.27 2323.94,1310.27 \n",
       "  2323.94,1298.05 2324.09,1298.05 2324.09,1285.83 2324.46,1285.83 2324.46,1273.61 2324.84,1273.61 2324.84,1285.83 2325.01,1285.83 2325.01,1273.61 2325.19,1273.61 \n",
       "  2325.19,1285.83 2327.18,1285.83 2327.18,1273.61 2327.7,1273.61 2327.7,1285.83 2327.76,1285.83 2327.76,1273.61 2328.08,1273.61 2328.08,1285.83 2328.3,1285.83 \n",
       "  2328.3,1298.05 2329.21,1298.05 2329.21,1285.83 2329.25,1285.83 2329.25,1298.05 2329.33,1298.05 2329.33,1310.27 2329.61,1310.27 2329.61,1322.49 2330.29,1322.49 \n",
       "  2330.29,1334.71 2330.35,1334.71 2330.35,1322.49 2331.04,1322.49 2331.04,1310.27 2331.51,1310.27 2331.51,1322.49 2331.75,1322.49 2331.75,1334.71 2331.82,1334.71 \n",
       "  2331.82,1322.49 2332.05,1322.49 2332.05,1334.71 2332.32,1334.71 2332.32,1322.49 2332.61,1322.49 2332.61,1334.71 2333.07,1334.71 2333.07,1346.93 2333.11,1346.93 \n",
       "  2333.11,1359.15 2333.89,1359.15 2333.89,1371.37 2334.6,1371.37 2334.6,1383.59 2334.81,1383.59 2334.81,1395.81 2334.84,1395.81 2334.84,1408.03 2334.87,1408.03 \n",
       "  2334.87,1395.81 2335.6,1395.81 2335.6,1408.03 2335.64,1408.03 2335.64,1420.25 2336.46,1420.25 2336.46,1408.03 2336.85,1408.03 2336.85,1395.81 2337,1395.81 \n",
       "  2337,1383.59 2337.08,1383.59 2337.08,1371.37 2337.21,1371.37 2337.21,1383.59 2338.77,1383.59 2338.77,1371.37 2338.97,1371.37 2338.97,1383.59 2339.56,1383.59 \n",
       "  2339.56,1395.81 2339.57,1395.81 2339.57,1383.59 2340,1383.59 2340,1395.81 2340.69,1395.81 2340.69,1383.59 2341.32,1383.59 2341.32,1371.37 2341.84,1371.37 \n",
       "  2341.84,1359.15 2341.86,1359.15 2341.86,1371.37 2342.74,1371.37 2342.74,1383.59 2343.55,1383.59 2343.55,1395.81 2343.98,1395.81 2343.98,1408.03 2344.28,1408.03 \n",
       "  2344.28,1395.81 2344.4,1395.81 2344.4,1408.03 2344.62,1408.03 2344.62,1420.25 2344.98,1420.25 2344.98,1432.47 2345.44,1432.47 2345.44,1444.69 2345.59,1444.69 \n",
       "  2345.59,1456.91 2347.24,1456.91 2347.24,1444.69 2347.49,1444.69 2347.49,1432.47 2347.49,1432.47 2347.49,1420.25 2347.52,1420.25 2347.52,1408.03 2347.71,1408.03 \n",
       "  2347.71,1395.81 2347.79,1395.81 2347.79,1408.03 2348.21,1408.03 2348.21,1420.25 2348.42,1420.25 2348.42,1432.47 2348.69,1432.47 2348.69,1420.25 2349.14,1420.25 \n",
       "  2349.14,1408.03 2349.31,1408.03 2349.31,1420.25 2349.34,1420.25 2349.34,1408.03 2349.74,1408.03 2349.74,1395.81 2350.33,1395.81 2350.33,1408.03 2351.61,1408.03 \n",
       "  2351.61,1420.25 2351.91,1420.25 2351.91,1432.47 2352.38,1432.47 2352.38,1444.69 2352.52,1444.69 2352.52,1432.47 2352.56,1432.47 2352.56,1444.69 2353.22,1444.69 \n",
       "  2353.22,1432.47 2353.32,1432.47 2353.32,1444.69 2353.41,1444.69 2353.41,1456.91 2353.58,1456.91 2353.58,1444.69 2353.73,1444.69 2353.73,1432.47 2353.76,1432.47 \n",
       "  2353.76,1444.69 2354.11,1444.69 2354.11,1432.47 2354.46,1432.47 2354.46,1444.69 2354.7,1444.69 2354.7,1432.47 2354.77,1432.47 2354.77,1420.25 2355.39,1420.25 \n",
       "  2355.39,1432.47 2355.56,1432.47 2355.56,1420.25 2355.69,1420.25 2355.69,1408.03 2355.84,1408.03 2355.84,1420.25 2356.04,1420.25 2356.04,1408.03 2356.54,1408.03 \n",
       "  2356.54,1420.25 2356.64,1420.25 2356.64,1432.47 2356.77,1432.47 2356.77,1420.25 2356.78,1420.25 2356.78,1432.47 2356.92,1432.47 2356.92,1444.69 2357.46,1444.69 \n",
       "  2357.46,1432.47 2357.52,1432.47 2357.52,1444.69 2358,1444.69 2358,1456.91 2358.12,1456.91 2358.12,1444.69 2358.35,1444.69 2358.35,1456.91 2358.8,1456.91 \n",
       "  2358.8,1444.69 2359,1444.69 2359,1432.47 2359.19,1432.47 2359.19,1444.69 2359.32,1444.69 2359.32,1456.91 2359.39,1456.91 2359.39,1444.69 2360.6,1444.69 \n",
       "  2360.6,1456.91 2361.6,1456.91 2361.6,1444.69 2361.75,1444.69 2361.75,1456.91 2362.15,1456.91 2362.15,1444.69 2362.21,1444.69 2362.21,1432.47 2362.45,1432.47 \n",
       "  2362.45,1444.69 2362.79,1444.69 2362.79,1456.91 2362.91,1456.91 2362.91,1444.69 2363.3,1444.69 2363.3,1456.91 2363.38,1456.91 2363.38,1444.69 2363.64,1444.69 \n",
       "  2363.64,1432.47 2363.66,1432.47 2363.66,1420.25 2363.81,1420.25 2363.81,1408.03 2364.7,1408.03 2364.7,1420.25 2364.93,1420.25 2364.93,1408.03 2365.31,1408.03 \n",
       "  2365.31,1395.81 2365.49,1395.81 2365.49,1408.03 2366.45,1408.03 2366.45,1420.25 2366.62,1420.25 2366.62,1432.47 2366.68,1432.47 2366.68,1444.69 2367.56,1444.69 \n",
       "  2367.56,1432.47 2367.86,1432.47 2367.86,1444.69 2368.02,1444.69 2368.02,1456.91 2369.55,1456.91 2369.55,1444.69 2369.69,1444.69 2369.69,1456.91 2370.66,1456.91 \n",
       "  2370.66,1444.69 2370.92,1444.69 2370.92,1456.91 2371.02,1456.91 2371.02,1444.69 2371.3,1444.69 2371.3,1432.47 2371.6,1432.47 2371.6,1444.69 2371.61,1444.69 \n",
       "  2371.61,1456.91 2372.26,1456.91 2372.26,1444.69 2372.44,1444.69 2372.44,1432.47 2372.61,1432.47 2372.61,1444.69 2372.69,1444.69 2372.69,1456.91 2372.74,1456.91 \n",
       "  2372.74,1444.69 2372.78,1444.69 2372.78,1432.47 2373.11,1432.47 2373.11,1420.25 2373.11,1420.25 2373.11,1432.47 2373.14,1432.47 2373.14,1420.25 2373.24,1420.25 \n",
       "  2373.24,1408.03 2373.72,1408.03 2373.72,1395.81 2374.21,1395.81 2374.21,1383.59 2374.5,1383.59 2374.5,1395.81 2374.72,1395.81 2374.72,1383.59 2375.34,1383.59 \n",
       "  2375.34,1395.81 2375.49,1395.81 2375.49,1383.59 2375.5,1383.59 2375.5,1395.81 2376.18,1395.81 2376.18,1383.59 2376.58,1383.59 2376.58,1371.37 2376.72,1371.37 \n",
       "  2376.72,1359.15 2376.88,1359.15 2376.88,1371.37 2377.21,1371.37 2377.21,1383.59 2377.89,1383.59 2377.89,1395.81 2378.29,1395.81 2378.29,1383.59 2378.42,1383.59 \n",
       "  2378.42,1371.37 2378.77,1371.37 2378.77,1359.15 2379.93,1359.15 2379.93,1346.93 2380.19,1346.93 2380.19,1359.15 2380.83,1359.15 2380.83,1346.93 2381.14,1346.93 \n",
       "  2381.14,1334.71 2381.44,1334.71 2381.44,1322.49 2381.83,1322.49 2381.83,1334.71 2382.7,1334.71 2382.7,1322.49 2383.24,1322.49 2383.24,1334.71 2383.35,1334.71 \n",
       "  2383.35,1346.93 2383.66,1346.93 2383.66,1359.15 2383.87,1359.15 2383.87,1371.37 2384.14,1371.37 2384.14,1383.59 2384.86,1383.59 2384.86,1395.81 2385.06,1395.81 \n",
       "  2385.06,1383.59 2385.25,1383.59 2385.25,1395.81 2385.93,1395.81 2385.93,1408.03 2386.13,1408.03 2386.13,1420.25 2386.16,1420.25 2386.16,1432.47 2386.57,1432.47 \n",
       "  2386.57,1444.69 2386.84,1444.69 2386.84,1456.91 2387.88,1456.91 2387.88,1444.69 2388.05,1444.69 2388.05,1456.91 2389.13,1456.91 2389.13,1444.69 2389.27,1444.69 \n",
       "  2389.27,1456.91 2389.53,1456.91 2389.53,1444.69 2389.96,1444.69 2389.96,1456.91 2390.36,1456.91 2390.36,1444.69 2390.93,1444.69 2390.93,1432.47 2391.03,1432.47 \n",
       "  2391.03,1420.25 2391.12,1420.25 2391.12,1432.47 2391.2,1432.47 2391.2,1444.69 2392.23,1444.69 2392.23,1456.91 2392.88,1456.91 2392.88,1444.69 2393.29,1444.69 \n",
       "  2393.29,1432.47 2393.97,1432.47 2393.97,1420.25 2394.17,1420.25 2394.17,1408.03 2394.2,1408.03 2394.2,1420.25 2394.43,1420.25 2394.43,1408.03 2394.49,1408.03 \n",
       "  2394.49,1395.81 2395.19,1395.81 2395.19,1383.59 2395.28,1383.59 2395.28,1371.37 2395.54,1371.37 2395.54,1383.59 2395.7,1383.59 2395.7,1395.81 2395.74,1395.81 \n",
       "  2395.74,1383.59 2395.79,1383.59 2395.79,1395.81 2395.85,1395.81 2395.85,1383.59 2395.9,1383.59 2395.9,1395.81 2396.87,1395.81 2396.87,1383.59 2397.14,1383.59 \n",
       "  2397.14,1371.37 2397.43,1371.37 2397.43,1359.15 2397.55,1359.15 2397.55,1371.37 2398.18,1371.37 2398.18,1359.15 2398.58,1359.15 2398.58,1371.37 2398.68,1371.37 \n",
       "  2398.68,1359.15 2398.97,1359.15 2398.97,1371.37 2399.9,1371.37 2399.9,1383.59 2400.16,1383.59 2400.16,1395.81 2400.25,1395.81 2400.25,1408.03 2400.82,1408.03 \n",
       "  2400.82,1395.81 2401.49,1395.81 2401.49,1383.59 2401.64,1383.59 2401.64,1395.81 2401.98,1395.81 2401.98,1383.59 2402.04,1383.59 2402.04,1371.37 2402.11,1371.37 \n",
       "  2402.11,1359.15 2402.25,1359.15 2402.25,1371.37 2402.91,1371.37 2402.91,1383.59 2403.36,1383.59 2403.36,1371.37 2403.49,1371.37 2403.49,1359.15 2403.86,1359.15 \n",
       "  2403.86,1371.37 2403.89,1371.37 2403.89,1359.15 2404.3,1359.15 2404.3,1371.37 2405.04,1371.37 2405.04,1383.59 2405.48,1383.59 2405.48,1395.81 2406.4,1395.81 \n",
       "  2406.4,1383.59 2406.5,1383.59 2406.5,1395.81 2406.86,1395.81 2406.86,1408.03 2407.55,1408.03 2407.55,1420.25 2407.58,1420.25 2407.58,1432.47 2407.99,1432.47 \n",
       "  2407.99,1444.69 2408.45,1444.69 2408.45,1456.91 2408.56,1456.91 2408.56,1444.69 2408.68,1444.69 2408.68,1456.91 2409.07,1456.91 2409.07,1444.69 2409.21,1444.69 \n",
       "  2409.21,1432.47 2409.28,1432.47 2409.28,1420.25 2409.51,1420.25 2409.51,1408.03 2409.96,1408.03 2409.96,1395.81 2410.49,1395.81 2410.49,1383.59 2410.51,1383.59 \n",
       "  2410.51,1371.37 2411.47,1371.37 2411.47,1359.15 2411.52,1359.15 2411.52,1346.93 2412.2,1346.93 2412.2,1334.71 2412.22,1334.71 2412.22,1346.93 2412.43,1346.93 \n",
       "  2412.43,1334.71 2413.12,1334.71 2413.12,1346.93 2413.14,1346.93 2413.14,1334.71 2414.18,1334.71 2414.18,1346.93 2414.24,1346.93 2414.24,1334.71 2414.39,1334.71 \n",
       "  2414.39,1346.93 2415.64,1346.93 2415.64,1359.15 2416.42,1359.15 2416.42,1371.37 2416.51,1371.37 2416.51,1359.15 2416.93,1359.15 2416.93,1346.93 2417.04,1346.93 \n",
       "  2417.04,1334.71 2417.09,1334.71 2417.09,1346.93 2417.14,1346.93 2417.14,1359.15 2417.31,1359.15 2417.31,1371.37 2417.32,1371.37 2417.32,1383.59 2417.41,1383.59 \n",
       "  2417.41,1395.81 2417.66,1395.81 2417.66,1383.59 2418.9,1383.59 2418.9,1371.37 2419.39,1371.37 2419.39,1359.15 2420.39,1359.15 2420.39,1346.93 2421.01,1346.93 \n",
       "  2421.01,1334.71 2421.57,1334.71 2421.57,1346.93 2421.6,1346.93 2421.6,1359.15 2421.66,1359.15 2421.66,1371.37 2422.22,1371.37 2422.22,1359.15 2422.23,1359.15 \n",
       "  2422.23,1371.37 2422.39,1371.37 2422.39,1383.59 2422.69,1383.59 2422.69,1371.37 2423.34,1371.37 2423.34,1383.59 2423.35,1383.59 2423.35,1371.37 2423.73,1371.37 \n",
       "  2423.73,1359.15 2424.87,1359.15 2424.87,1346.93 2425.88,1346.93 2425.88,1359.15 2426.48,1359.15 2426.48,1371.37 2426.62,1371.37 2426.62,1383.59 2427.49,1383.59 \n",
       "  2427.49,1371.37 2427.57,1371.37 2427.57,1359.15 2427.98,1359.15 2427.98,1346.93 2428.58,1346.93 2428.58,1334.71 2428.89,1334.71 2428.89,1346.93 2428.89,1346.93 \n",
       "  2428.89,1359.15 2429.03,1359.15 2429.03,1346.93 2429.95,1346.93 2429.95,1359.15 2429.97,1359.15 2429.97,1371.37 2430.37,1371.37 2430.37,1383.59 2430.38,1383.59 \n",
       "  2430.38,1371.37 2430.42,1371.37 2430.42,1359.15 2430.45,1359.15 2430.45,1346.93 2430.53,1346.93 2430.53,1334.71 2430.68,1334.71 2430.68,1346.93 2431.29,1346.93 \n",
       "  2431.29,1359.15 2431.69,1359.15 2431.69,1371.37 2431.88,1371.37 2431.88,1359.15 2432.1,1359.15 2432.1,1346.93 2433.33,1346.93 2433.33,1359.15 2433.39,1359.15 \n",
       "  2433.39,1371.37 2433.6,1371.37 2433.6,1359.15 2433.7,1359.15 2433.7,1346.93 2433.72,1346.93 2433.72,1334.71 2433.9,1334.71 2433.9,1322.49 2434.44,1322.49 \n",
       "  2434.44,1334.71 2434.52,1334.71 2434.52,1322.49 2435.19,1322.49 2435.19,1310.27 2435.84,1310.27 2435.84,1322.49 2436.06,1322.49 2436.06,1310.27 2436.2,1310.27 \n",
       "  2436.2,1322.49 2436.2,1322.49 2436.2,1310.27 2436.5,1310.27 2436.5,1298.05 2436.97,1298.05 2436.97,1285.83 2437.19,1285.83 2437.19,1273.61 2437.37,1273.61 \n",
       "  2437.37,1261.39 2437.45,1261.39 2437.45,1273.61 2437.57,1273.61 2437.57,1285.83 2437.81,1285.83 2437.81,1298.05 2438.3,1298.05 2438.3,1285.83 2438.46,1285.83 \n",
       "  2438.46,1298.05 2438.91,1298.05 2438.91,1310.27 2439.06,1310.27 2439.06,1322.49 2439.56,1322.49 2439.56,1310.27 2439.6,1310.27 2439.6,1298.05 2439.7,1298.05 \n",
       "  2439.7,1310.27 2439.81,1310.27 2439.81,1322.49 2440.17,1322.49 2440.17,1334.71 2440.47,1334.71 2440.47,1322.49 2441.59,1322.49 2441.59,1334.71 2442.22,1334.71 \n",
       "  2442.22,1346.93 2442.48,1346.93 2442.48,1334.71 2442.57,1334.71 2442.57,1346.93 2442.89,1346.93 2442.89,1334.71 2442.97,1334.71 2442.97,1346.93 2443.02,1346.93 \n",
       "  2443.02,1359.15 2443.05,1359.15 2443.05,1346.93 2443.6,1346.93 2443.6,1359.15 2443.61,1359.15 2443.61,1346.93 2444.28,1346.93 2444.28,1359.15 2444.31,1359.15 \n",
       "  2444.31,1346.93 2444.51,1346.93 2444.51,1334.71 2445.51,1334.71 2445.51,1322.49 2445.87,1322.49 2445.87,1334.71 2445.94,1334.71 2445.94,1346.93 2446.23,1346.93 \n",
       "  2446.23,1359.15 2446.32,1359.15 2446.32,1371.37 2446.37,1371.37 2446.37,1359.15 2447.01,1359.15 2447.01,1371.37 2447.08,1371.37 2447.08,1359.15 2447.2,1359.15 \n",
       "  2447.2,1346.93 2447.35,1346.93 2447.35,1334.71 2447.44,1334.71 2447.44,1346.93 2447.87,1346.93 2447.87,1359.15 2448.09,1359.15 2448.09,1346.93 2448.18,1346.93 \n",
       "  2448.18,1359.15 2448.27,1359.15 2448.27,1371.37 2448.51,1371.37 2448.51,1383.59 2448.69,1383.59 2448.69,1371.37 2449.26,1371.37 2449.26,1359.15 2449.27,1359.15 \n",
       "  2449.27,1371.37 2449.93,1371.37 2449.93,1359.15 2450.11,1359.15 2450.11,1371.37 2450.23,1371.37 2450.23,1359.15 2450.5,1359.15 2450.5,1346.93 2450.51,1346.93 \n",
       "  2450.51,1359.15 2450.72,1359.15 2450.72,1346.93 2450.77,1346.93 2450.77,1359.15 2451.13,1359.15 2451.13,1371.37 2451.43,1371.37 2451.43,1383.59 2452.1,1383.59 \n",
       "  2452.1,1371.37 2452.39,1371.37 2452.39,1383.59 2452.74,1383.59 2452.74,1395.81 2453.05,1395.81 2453.05,1408.03 2453.3,1408.03 2453.3,1420.25 2453.42,1420.25 \n",
       "  2453.42,1432.47 2453.42,1432.47 2453.42,1444.69 2453.81,1444.69 2453.81,1432.47 2454.43,1432.47 2454.43,1420.25 2454.71,1420.25 2454.71,1408.03 2456.01,1408.03 \n",
       "  2456.01,1395.81 2456.14,1395.81 2456.14,1383.59 2456.27,1383.59 2456.27,1371.37 2456.38,1371.37 2456.38,1383.59 2456.67,1383.59 2456.67,1371.37 2456.78,1371.37 \n",
       "  2456.78,1383.59 2457.15,1383.59 2457.15,1395.81 2457.53,1395.81 2457.53,1408.03 2457.92,1408.03 2457.92,1395.81 2458.14,1395.81 2458.14,1408.03 2458.29,1408.03 \n",
       "  2458.29,1395.81 2458.51,1395.81 2458.51,1408.03 2458.83,1408.03 2458.83,1420.25 2459.11,1420.25 2459.11,1432.47 2459.26,1432.47 2459.26,1444.69 2459.35,1444.69 \n",
       "  2459.35,1456.91 2460.24,1456.91 2460.24,1444.69 2461.14,1444.69 2461.14,1432.47 2461.19,1432.47 2461.19,1444.69 2461.28,1444.69 2461.28,1456.91 2462.06,1456.91 \n",
       "  2462.06,1444.69 2462.8,1444.69 2462.8,1456.91 2465.68,1456.91 2465.68,1444.69 2465.91,1444.69 2465.91,1432.47 2466.85,1432.47 2466.85,1444.69 2467.29,1444.69 \n",
       "  2467.29,1432.47 2467.37,1432.47 2467.37,1444.69 2467.78,1444.69 2467.78,1432.47 2467.86,1432.47 2467.86,1420.25 2467.96,1420.25 2467.96,1408.03 2468.04,1408.03 \n",
       "  2468.04,1420.25 2468.07,1420.25 2468.07,1408.03 2468.47,1408.03 2468.47,1395.81 2468.52,1395.81 2468.52,1408.03 2468.67,1408.03 2468.67,1395.81 2468.78,1395.81 \n",
       "  2468.78,1408.03 2468.93,1408.03 2468.93,1395.81 2470.15,1395.81 2470.15,1408.03 2470.44,1408.03 2470.44,1395.81 2470.45,1395.81 2470.45,1408.03 2470.55,1408.03 \n",
       "  2470.55,1395.81 2470.63,1395.81 2470.63,1383.59 2471.11,1383.59 2471.11,1371.37 2471.3,1371.37 2471.3,1359.15 2471.47,1359.15 2471.47,1371.37 2471.82,1371.37 \n",
       "  2471.82,1383.59 2472.04,1383.59 2472.04,1371.37 2472.3,1371.37 2472.3,1383.59 2472.36,1383.59 2472.36,1371.37 2472.53,1371.37 2472.53,1359.15 2472.61,1359.15 \n",
       "  2472.61,1371.37 2473.03,1371.37 2473.03,1359.15 2473.19,1359.15 2473.19,1371.37 2473.2,1371.37 2473.2,1383.59 2473.42,1383.59 2473.42,1371.37 2473.52,1371.37 \n",
       "  2473.52,1359.15 2473.75,1359.15 2473.75,1371.37 2474.05,1371.37 2474.05,1383.59 2474.3,1383.59 2474.3,1371.37 2474.35,1371.37 2474.35,1359.15 2474.68,1359.15 \n",
       "  2474.68,1371.37 2474.82,1371.37 2474.82,1383.59 2474.88,1383.59 2474.88,1371.37 2474.97,1371.37 2474.97,1359.15 2475.05,1359.15 2475.05,1346.93 2475.24,1346.93 \n",
       "  2475.24,1334.71 2476.11,1334.71 2476.11,1346.93 2476.33,1346.93 2476.33,1359.15 2476.66,1359.15 2476.66,1346.93 2476.81,1346.93 2476.81,1359.15 2476.87,1359.15 \n",
       "  2476.87,1346.93 2477.48,1346.93 2477.48,1359.15 2477.57,1359.15 2477.57,1346.93 2477.58,1346.93 2477.58,1334.71 2477.74,1334.71 2477.74,1322.49 2478.37,1322.49 \n",
       "  2478.37,1334.71 2478.6,1334.71 2478.6,1346.93 2478.92,1346.93 2478.92,1359.15 2479.07,1359.15 2479.07,1371.37 2479.4,1371.37 2479.4,1383.59 2480.19,1383.59 \n",
       "  2480.19,1395.81 2480.26,1395.81 2480.26,1383.59 2480.67,1383.59 2480.67,1371.37 2480.88,1371.37 2480.88,1359.15 2481.56,1359.15 2481.56,1346.93 2481.88,1346.93 \n",
       "  2481.88,1359.15 2481.97,1359.15 2481.97,1371.37 2482.36,1371.37 2482.36,1359.15 2482.54,1359.15 2482.54,1346.93 2482.9,1346.93 2482.9,1334.71 2484.17,1334.71 \n",
       "  2484.17,1346.93 2484.32,1346.93 2484.32,1334.71 2484.94,1334.71 2484.94,1322.49 2485.15,1322.49 2485.15,1334.71 2485.26,1334.71 2485.26,1346.93 2485.45,1346.93 \n",
       "  2485.45,1359.15 2485.6,1359.15 2485.6,1371.37 2486.06,1371.37 2486.06,1359.15 2486.65,1359.15 2486.65,1371.37 2486.86,1371.37 2486.86,1359.15 2486.96,1359.15 \n",
       "  2486.96,1371.37 2487.13,1371.37 2487.13,1359.15 2487.4,1359.15 2487.4,1371.37 2487.46,1371.37 2487.46,1383.59 2487.67,1383.59 2487.67,1395.81 2487.86,1395.81 \n",
       "  2487.86,1408.03 2487.97,1408.03 2487.97,1395.81 2488.08,1395.81 2488.08,1383.59 2488.19,1383.59 2488.19,1395.81 2488.2,1395.81 2488.2,1408.03 2488.27,1408.03 \n",
       "  2488.27,1420.25 2488.35,1420.25 2488.35,1408.03 2488.48,1408.03 2488.48,1420.25 2488.54,1420.25 2488.54,1408.03 2490.37,1408.03 2490.37,1395.81 2490.69,1395.81 \n",
       "  2490.69,1408.03 2490.98,1408.03 2490.98,1420.25 2491.01,1420.25 2491.01,1432.47 2491.12,1432.47 2491.12,1444.69 2491.85,1444.69 2491.85,1456.91 2492.27,1456.91 \n",
       "  2492.27,1444.69 2492.35,1444.69 2492.35,1432.47 2492.41,1432.47 2492.41,1444.69 2492.9,1444.69 2492.9,1432.47 2493.45,1432.47 2493.45,1420.25 2493.61,1420.25 \n",
       "  2493.61,1408.03 2493.81,1408.03 2493.81,1395.81 2494.29,1395.81 2494.29,1408.03 2494.38,1408.03 2494.38,1420.25 2494.41,1420.25 2494.41,1408.03 2494.47,1408.03 \n",
       "  2494.47,1420.25 2494.5,1420.25 2494.5,1408.03 2494.59,1408.03 2494.59,1420.25 2494.65,1420.25 2494.65,1432.47 2495.09,1432.47 2495.09,1420.25 2495.16,1420.25 \n",
       "  2495.16,1432.47 2495.46,1432.47 2495.46,1444.69 2495.56,1444.69 2495.56,1432.47 2495.71,1432.47 2495.71,1420.25 2495.9,1420.25 2495.9,1432.47 2495.97,1432.47 \n",
       "  2495.97,1420.25 2496.15,1420.25 2496.15,1432.47 2496.3,1432.47 2496.3,1444.69 2496.51,1444.69 2496.51,1456.91 2497.52,1456.91 2497.52,1444.69 2497.84,1444.69 \n",
       "  2497.84,1432.47 2498.02,1432.47 2498.02,1420.25 2498.47,1420.25 2498.47,1432.47 2499.13,1432.47 2499.13,1444.69 2499.19,1444.69 2499.19,1456.91 2500.04,1456.91 \n",
       "  2500.04,1444.69 2500.18,1444.69 2500.18,1456.91 2501.08,1456.91 2501.08,1444.69 2501.25,1444.69 2501.25,1456.91 2501.44,1456.91 2501.44,1444.69 2502.19,1444.69 \n",
       "  2502.19,1432.47 2502.29,1432.47 2502.29,1444.69 2502.62,1444.69 2502.62,1456.91 2503.79,1456.91 2503.79,1444.69 2503.91,1444.69 2503.91,1456.91 2504.41,1456.91 \n",
       "  2504.41,1444.69 2504.41,1444.69 2504.41,1456.91 2505.23,1456.91 2505.23,1444.69 2505.33,1444.69 2505.33,1456.91 2505.88,1456.91 2505.88,1444.69 2506.91,1444.69 \n",
       "  2506.91,1432.47 2507.63,1432.47 2507.63,1420.25 2507.65,1420.25 2507.65,1408.03 2507.74,1408.03 2507.74,1395.81 2507.75,1395.81 2507.75,1408.03 2507.93,1408.03 \n",
       "  2507.93,1420.25 2508.59,1420.25 2508.59,1408.03 2509.04,1408.03 2509.04,1395.81 2509.31,1395.81 2509.31,1383.59 2509.41,1383.59 2509.41,1395.81 2509.49,1395.81 \n",
       "  2509.49,1383.59 2510.07,1383.59 2510.07,1395.81 2510.92,1395.81 2510.92,1408.03 2511.84,1408.03 2511.84,1395.81 2511.84,1395.81 2511.84,1383.59 2512.03,1383.59 \n",
       "  2512.03,1371.37 2512.35,1371.37 2512.35,1383.59 2512.51,1383.59 2512.51,1395.81 2512.93,1395.81 2512.93,1408.03 2513.09,1408.03 2513.09,1420.25 2513.33,1420.25 \n",
       "  2513.33,1432.47 2513.7,1432.47 2513.7,1420.25 2513.8,1420.25 2513.8,1408.03 2513.97,1408.03 2513.97,1395.81 2514.21,1395.81 2514.21,1408.03 2514.82,1408.03 \n",
       "  2514.82,1395.81 2514.88,1395.81 2514.88,1383.59 2515.13,1383.59 2515.13,1371.37 2515.8,1371.37 2515.8,1383.59 2516.02,1383.59 2516.02,1395.81 2516.22,1395.81 \n",
       "  2516.22,1383.59 2516.76,1383.59 2516.76,1395.81 2516.87,1395.81 2516.87,1408.03 2516.88,1408.03 2516.88,1395.81 2517.36,1395.81 2517.36,1408.03 2517.41,1408.03 \n",
       "  2517.41,1420.25 2517.78,1420.25 2517.78,1432.47 2518.02,1432.47 2518.02,1444.69 2518.3,1444.69 2518.3,1456.91 2518.32,1456.91 2518.32,1444.69 2518.46,1444.69 \n",
       "  2518.46,1432.47 2518.5,1432.47 2518.5,1444.69 2518.96,1444.69 2518.96,1456.91 2518.97,1456.91 2518.97,1444.69 2519.59,1444.69 2519.59,1432.47 2519.65,1432.47 \n",
       "  2519.65,1420.25 2519.86,1420.25 2519.86,1432.47 2520.2,1432.47 2520.2,1420.25 2520.99,1420.25 2520.99,1432.47 2521.2,1432.47 2521.2,1444.69 2521.25,1444.69 \n",
       "  2521.25,1432.47 2521.42,1432.47 2521.42,1444.69 2521.61,1444.69 2521.61,1432.47 2522.32,1432.47 2522.32,1420.25 2522.73,1420.25 2522.73,1432.47 2523.76,1432.47 \n",
       "  2523.76,1444.69 2523.9,1444.69 2523.9,1456.91 2523.91,1456.91 2523.91,1444.69 2524.09,1444.69 2524.09,1432.47 2524.37,1432.47 2524.37,1420.25 2524.71,1420.25 \n",
       "  2524.71,1408.03 2524.82,1408.03 2524.82,1395.81 2524.95,1395.81 2524.95,1408.03 2525.19,1408.03 2525.19,1395.81 2525.49,1395.81 2525.49,1383.59 2525.74,1383.59 \n",
       "  2525.74,1371.37 2525.81,1371.37 2525.81,1359.15 2525.82,1359.15 2525.82,1346.93 2525.99,1346.93 2525.99,1359.15 2526.06,1359.15 2526.06,1371.37 2526.47,1371.37 \n",
       "  2526.47,1383.59 2526.65,1383.59 2526.65,1395.81 2527.01,1395.81 2527.01,1408.03 2527.03,1408.03 2527.03,1420.25 2527.75,1420.25 2527.75,1432.47 2527.93,1432.47 \n",
       "  2527.93,1420.25 2527.96,1420.25 2527.96,1432.47 2528.39,1432.47 2528.39,1420.25 2528.58,1420.25 2528.58,1432.47 2528.6,1432.47 2528.6,1444.69 2529.19,1444.69 \n",
       "  2529.19,1432.47 2529.78,1432.47 2529.78,1420.25 2530.02,1420.25 2530.02,1408.03 2530.44,1408.03 2530.44,1395.81 2530.57,1395.81 2530.57,1383.59 2530.63,1383.59 \n",
       "  2530.63,1371.37 2531.01,1371.37 2531.01,1383.59 2531.14,1383.59 2531.14,1395.81 2531.31,1395.81 2531.31,1408.03 2531.32,1408.03 2531.32,1420.25 2531.66,1420.25 \n",
       "  2531.66,1408.03 2531.79,1408.03 2531.79,1395.81 2531.83,1395.81 2531.83,1383.59 2531.92,1383.59 2531.92,1371.37 2531.92,1371.37 2531.92,1383.59 2532.23,1383.59 \n",
       "  2532.23,1371.37 2532.73,1371.37 2532.73,1383.59 2533.52,1383.59 2533.52,1395.81 2534.3,1395.81 2534.3,1383.59 2534.85,1383.59 2534.85,1395.81 2534.96,1395.81 \n",
       "  2534.96,1408.03 2535,1408.03 2535,1420.25 2535.1,1420.25 2535.1,1432.47 2536.2,1432.47 2536.2,1420.25 2536.45,1420.25 2536.45,1408.03 2536.8,1408.03 \n",
       "  2536.8,1395.81 2536.92,1395.81 2536.92,1383.59 2537.07,1383.59 2537.07,1371.37 2537.12,1371.37 2537.12,1359.15 2537.16,1359.15 2537.16,1346.93 2537.21,1346.93 \n",
       "  2537.21,1359.15 2537.21,1359.15 2537.21,1371.37 2537.39,1371.37 2537.39,1359.15 2537.93,1359.15 2537.93,1371.37 2538,1371.37 2538,1383.59 2538.72,1383.59 \n",
       "  2538.72,1371.37 2539.19,1371.37 2539.19,1359.15 2539.3,1359.15 2539.3,1371.37 2539.76,1371.37 2539.76,1383.59 2540.04,1383.59 2540.04,1395.81 2540.39,1395.81 \n",
       "  2540.39,1408.03 2540.41,1408.03 2540.41,1395.81 2540.43,1395.81 2540.43,1408.03 2541.17,1408.03 2541.17,1395.81 2541.41,1395.81 2541.41,1383.59 2541.71,1383.59 \n",
       "  2541.71,1371.37 2541.76,1371.37 2541.76,1383.59 2541.99,1383.59 2541.99,1371.37 2542.58,1371.37 2542.58,1359.15 2543.27,1359.15 2543.27,1371.37 2543.68,1371.37 \n",
       "  2543.68,1359.15 2544.57,1359.15 2544.57,1371.37 2544.62,1371.37 2544.62,1359.15 2544.79,1359.15 2544.79,1371.37 2545.41,1371.37 2545.41,1383.59 2545.69,1383.59 \n",
       "  2545.69,1395.81 2545.87,1395.81 2545.87,1408.03 2546.01,1408.03 2546.01,1395.81 2546.1,1395.81 2546.1,1408.03 2546.18,1408.03 2546.18,1420.25 2546.81,1420.25 \n",
       "  2546.81,1432.47 2548.34,1432.47 2548.34,1444.69 2550.73,1444.69 2550.73,1432.47 2551.15,1432.47 2551.15,1444.69 2551.27,1444.69 2551.27,1456.91 2551.43,1456.91 \n",
       "  2551.43,1444.69 2551.72,1444.69 2551.72,1432.47 2551.81,1432.47 2551.81,1420.25 2551.97,1420.25 2551.97,1432.47 2552.61,1432.47 2552.61,1444.69 2552.94,1444.69 \n",
       "  2552.94,1432.47 2553.13,1432.47 2553.13,1420.25 2553.75,1420.25 2553.75,1432.47 2553.94,1432.47 2553.94,1420.25 2554.29,1420.25 2554.29,1408.03 2554.92,1408.03 \n",
       "  2554.92,1420.25 2555.02,1420.25 2555.02,1408.03 2555.48,1408.03 2555.48,1420.25 2555.49,1420.25 2555.49,1432.47 2555.72,1432.47 2555.72,1420.25 2555.97,1420.25 \n",
       "  2555.97,1432.47 2556.48,1432.47 2556.48,1444.69 2556.52,1444.69 2556.52,1432.47 2557.44,1432.47 2557.44,1444.69 2557.58,1444.69 2557.58,1456.91 2557.89,1456.91 \n",
       "  2557.89,1444.69 2557.98,1444.69 2557.98,1456.91 2558.04,1456.91 2558.04,1444.69 2558.15,1444.69 2558.15,1456.91 2558.32,1456.91 2558.32,1444.69 2558.67,1444.69 \n",
       "  2558.67,1456.91 2558.82,1456.91 2558.82,1444.69 2559.4,1444.69 2559.4,1432.47 2561.37,1432.47 2561.37,1444.69 2561.97,1444.69 2561.97,1456.91 2562.39,1456.91 \n",
       "  2562.39,1444.69 2563.01,1444.69 2563.01,1432.47 2563.02,1432.47 2563.02,1444.69 2563.38,1444.69 2563.38,1432.47 2563.78,1432.47 2563.78,1444.69 2563.83,1444.69 \n",
       "  2563.83,1432.47 2563.88,1432.47 2563.88,1420.25 2564.15,1420.25 2564.15,1432.47 2564.69,1432.47 2564.69,1420.25 2565.06,1420.25 2565.06,1432.47 2565.26,1432.47 \n",
       "  2565.26,1420.25 2566.49,1420.25 2566.49,1432.47 2566.52,1432.47 2566.52,1420.25 2567.48,1420.25 2567.48,1408.03 2568.6,1408.03 2568.6,1395.81 2570.09,1395.81 \n",
       "  2570.09,1383.59 2570.17,1383.59 2570.17,1371.37 2570.28,1371.37 2570.28,1383.59 2570.29,1383.59 2570.29,1395.81 2570.44,1395.81 2570.44,1383.59 2571.31,1383.59 \n",
       "  2571.31,1371.37 2571.35,1371.37 2571.35,1383.59 2571.51,1383.59 2571.51,1371.37 2571.8,1371.37 2571.8,1383.59 2571.85,1383.59 2571.85,1371.37 2572.3,1371.37 \n",
       "  2572.3,1359.15 2572.92,1359.15 2572.92,1371.37 2573.3,1371.37 2573.3,1383.59 2574.58,1383.59 2574.58,1395.81 2574.64,1395.81 2574.64,1408.03 2575.05,1408.03 \n",
       "  2575.05,1420.25 2575.38,1420.25 2575.38,1432.47 2576.21,1432.47 2576.21,1444.69 2576.58,1444.69 2576.58,1456.91 2576.82,1456.91 2576.82,1444.69 2577.24,1444.69 \n",
       "  2577.24,1456.91 2579.26,1456.91 2579.26,1444.69 2579.44,1444.69 2579.44,1456.91 2579.8,1456.91 2579.8,1444.69 2579.96,1444.69 2579.96,1432.47 2579.99,1432.47 \n",
       "  2579.99,1444.69 2580,1444.69 2580,1432.47 2580.05,1432.47 2580.05,1420.25 2580.1,1420.25 2580.1,1432.47 2580.24,1432.47 2580.24,1444.69 2580.89,1444.69 \n",
       "  2580.89,1432.47 2580.96,1432.47 2580.96,1444.69 2581.1,1444.69 2581.1,1432.47 2581.31,1432.47 2581.31,1444.69 2581.55,1444.69 2581.55,1432.47 2581.94,1432.47 \n",
       "  2581.94,1444.69 2582.43,1444.69 2582.43,1456.91 2584.39,1456.91 2584.39,1444.69 2584.53,1444.69 2584.53,1456.91 2584.59,1456.91 2584.59,1444.69 2584.78,1444.69 \n",
       "  2584.78,1456.91 2586.92,1456.91 2586.92,1444.69 2586.98,1444.69 2586.98,1456.91 2587.5,1456.91 2587.5,1444.69 2587.65,1444.69 2587.65,1456.91 2589.08,1456.91 \n",
       "  2589.08,1444.69 2589.44,1444.69 2589.44,1456.91 2589.74,1456.91 2589.74,1444.69 2589.86,1444.69 2589.86,1456.91 2590.06,1456.91 2590.06,1444.69 2590.54,1444.69 \n",
       "  2590.54,1456.91 2591.64,1456.91 2591.64,1444.69 2591.79,1444.69 2591.79,1432.47 2591.83,1432.47 2591.83,1444.69 2591.87,1444.69 2591.87,1432.47 2592.15,1432.47 \n",
       "  2592.15,1420.25 2592.25,1420.25 2592.25,1432.47 2592.25,1432.47 2592.25,1420.25 2593.4,1420.25 2593.4,1432.47 2595,1432.47 2595,1444.69 2595.01,1444.69 \n",
       "  2595.01,1432.47 2595.05,1432.47 2595.05,1444.69 2595.17,1444.69 2595.17,1456.91 2595.85,1456.91 2595.85,1444.69 2596,1444.69 2596,1456.91 2596.4,1456.91 \n",
       "  2596.4,1444.69 2596.59,1444.69 2596.59,1432.47 2596.62,1432.47 2596.62,1420.25 2597.34,1420.25 2597.34,1408.03 2597.63,1408.03 2597.63,1395.81 2597.78,1395.81 \n",
       "  2597.78,1408.03 2598.68,1408.03 2598.68,1395.81 2598.69,1395.81 2598.69,1383.59 2598.8,1383.59 2598.8,1371.37 2599.26,1371.37 2599.26,1359.15 2599.34,1359.15 \n",
       "  2599.34,1346.93 2600.9,1346.93 2600.9,1334.71 2601.81,1334.71 2601.81,1322.49 2602.29,1322.49 2602.29,1310.27 2602.39,1310.27 2602.39,1322.49 2602.97,1322.49 \n",
       "  2602.97,1334.71 2603.16,1334.71 2603.16,1322.49 2603.62,1322.49 2603.62,1334.71 2603.98,1334.71 2603.98,1346.93 2604.06,1346.93 2604.06,1334.71 2605.29,1334.71 \n",
       "  2605.29,1346.93 2605.3,1346.93 2605.3,1359.15 2605.35,1359.15 2605.35,1371.37 2605.71,1371.37 2605.71,1359.15 2606,1359.15 2606,1371.37 2606.05,1371.37 \n",
       "  2606.05,1383.59 2606.52,1383.59 2606.52,1395.81 2606.91,1395.81 2606.91,1408.03 2607.3,1408.03 2607.3,1420.25 2608.55,1420.25 2608.55,1432.47 2608.96,1432.47 \n",
       "  2608.96,1420.25 2609.11,1420.25 2609.11,1432.47 2609.12,1432.47 2609.12,1420.25 2609.44,1420.25 2609.44,1408.03 2610.05,1408.03 2610.05,1420.25 2610.41,1420.25 \n",
       "  2610.41,1408.03 2610.73,1408.03 2610.73,1395.81 2610.97,1395.81 2610.97,1383.59 2612.02,1383.59 2612.02,1371.37 2612.11,1371.37 2612.11,1383.59 2612.2,1383.59 \n",
       "  2612.2,1371.37 2612.21,1371.37 2612.21,1359.15 2612.29,1359.15 2612.29,1346.93 2612.3,1346.93 2612.3,1334.71 2612.45,1334.71 2612.45,1322.49 2612.79,1322.49 \n",
       "  2612.79,1310.27 2613.04,1310.27 2613.04,1298.05 2613.47,1298.05 2613.47,1285.83 2614.79,1285.83 2614.79,1298.05 2614.94,1298.05 2614.94,1310.27 2616.51,1310.27 \n",
       "  2616.51,1322.49 2617.27,1322.49 2617.27,1334.71 2617.45,1334.71 2617.45,1346.93 2617.53,1346.93 2617.53,1359.15 2617.58,1359.15 2617.58,1371.37 2617.69,1371.37 \n",
       "  2617.69,1359.15 2617.87,1359.15 2617.87,1346.93 2618.03,1346.93 2618.03,1359.15 2618.63,1359.15 2618.63,1371.37 2618.85,1371.37 2618.85,1359.15 2618.85,1359.15 \n",
       "  2618.85,1346.93 2619.36,1346.93 2619.36,1334.71 2620.22,1334.71 2620.22,1346.93 2621.22,1346.93 2621.22,1359.15 2621.95,1359.15 2621.95,1346.93 2621.96,1346.93 \n",
       "  2621.96,1334.71 2621.99,1334.71 2621.99,1346.93 2622.06,1346.93 2622.06,1359.15 2622.07,1359.15 2622.07,1346.93 2622.47,1346.93 2622.47,1334.71 2622.67,1334.71 \n",
       "  2622.67,1346.93 2622.92,1346.93 2622.92,1334.71 2623.12,1334.71 2623.12,1346.93 2623.31,1346.93 2623.31,1359.15 2624.09,1359.15 2624.09,1346.93 2624.23,1346.93 \n",
       "  2624.23,1334.71 2624.63,1334.71 2624.63,1322.49 2625.13,1322.49 2625.13,1334.71 2625.51,1334.71 2625.51,1346.93 2626.05,1346.93 2626.05,1359.15 2626.23,1359.15 \n",
       "  2626.23,1346.93 2626.87,1346.93 2626.87,1334.71 2628.29,1334.71 2628.29,1322.49 2628.42,1322.49 2628.42,1334.71 2628.51,1334.71 2628.51,1346.93 2629.47,1346.93 \n",
       "  2629.47,1334.71 2629.76,1334.71 2629.76,1346.93 2629.77,1346.93 2629.77,1359.15 2629.9,1359.15 2629.9,1371.37 2631.3,1371.37 2631.3,1359.15 2632.42,1359.15 \n",
       "  2632.42,1346.93 2633.27,1346.93 2633.27,1359.15 2633.7,1359.15 2633.7,1371.37 2633.83,1371.37 2633.83,1383.59 2633.89,1383.59 2633.89,1371.37 2633.97,1371.37 \n",
       "  2633.97,1383.59 2634.06,1383.59 2634.06,1371.37 2634.28,1371.37 2634.28,1359.15 2635.02,1359.15 2635.02,1371.37 2635.03,1371.37 2635.03,1383.59 2635.55,1383.59 \n",
       "  2635.55,1395.81 2635.74,1395.81 2635.74,1383.59 2635.82,1383.59 2635.82,1395.81 2635.92,1395.81 2635.92,1408.03 2636.44,1408.03 2636.44,1420.25 2636.91,1420.25 \n",
       "  2636.91,1408.03 2637.43,1408.03 2637.43,1395.81 2637.62,1395.81 2637.62,1383.59 2638.87,1383.59 2638.87,1371.37 2639.02,1371.37 2639.02,1383.59 2639.36,1383.59 \n",
       "  2639.36,1371.37 2639.91,1371.37 2639.91,1383.59 2640.17,1383.59 2640.17,1371.37 2640.33,1371.37 2640.33,1359.15 2641.21,1359.15 2641.21,1346.93 2641.42,1346.93 \n",
       "  2641.42,1359.15 2641.82,1359.15 2641.82,1346.93 2641.92,1346.93 2641.92,1359.15 2641.98,1359.15 2641.98,1346.93 2642.12,1346.93 2642.12,1334.71 2642.23,1334.71 \n",
       "  2642.23,1322.49 2642.35,1322.49 2642.35,1334.71 2642.67,1334.71 2642.67,1322.49 2642.91,1322.49 2642.91,1310.27 2643.28,1310.27 2643.28,1298.05 2643.42,1298.05 \n",
       "  2643.42,1310.27 2643.59,1310.27 2643.59,1322.49 2644.18,1322.49 2644.18,1334.71 2644.33,1334.71 2644.33,1346.93 2644.81,1346.93 2644.81,1359.15 2645.69,1359.15 \n",
       "  2645.69,1371.37 2646.54,1371.37 2646.54,1359.15 2646.99,1359.15 2646.99,1346.93 2647.34,1346.93 2647.34,1359.15 2648.01,1359.15 2648.01,1346.93 2648.42,1346.93 \n",
       "  2648.42,1359.15 2648.77,1359.15 2648.77,1346.93 2648.91,1346.93 2648.91,1359.15 2649.03,1359.15 2649.03,1346.93 2649.21,1346.93 2649.21,1334.71 2649.35,1334.71 \n",
       "  2649.35,1322.49 2649.52,1322.49 2649.52,1310.27 2649.99,1310.27 2649.99,1298.05 2650.33,1298.05 2650.33,1310.27 2650.5,1310.27 2650.5,1298.05 2650.87,1298.05 \n",
       "  2650.87,1285.83 2651.41,1285.83 2651.41,1273.61 2651.86,1273.61 2651.86,1285.83 2651.95,1285.83 2651.95,1298.05 2653.16,1298.05 2653.16,1310.27 2653.16,1310.27 \n",
       "  2653.16,1322.49 2653.75,1322.49 2653.75,1334.71 2653.85,1334.71 2653.85,1346.93 2654.24,1346.93 2654.24,1359.15 2654.65,1359.15 2654.65,1371.37 2654.99,1371.37 \n",
       "  2654.99,1359.15 2655.11,1359.15 2655.11,1371.37 2655.13,1371.37 2655.13,1383.59 2655.54,1383.59 2655.54,1371.37 2656.27,1371.37 2656.27,1359.15 2656.33,1359.15 \n",
       "  2656.33,1371.37 2656.34,1371.37 2656.34,1383.59 2656.76,1383.59 2656.76,1371.37 2657.03,1371.37 2657.03,1359.15 2657.16,1359.15 2657.16,1371.37 2657.96,1371.37 \n",
       "  2657.96,1359.15 2658.04,1359.15 2658.04,1371.37 2658.41,1371.37 2658.41,1383.59 2659.21,1383.59 2659.21,1395.81 2659.45,1395.81 2659.45,1408.03 2660.54,1408.03 \n",
       "  2660.54,1420.25 2660.75,1420.25 2660.75,1408.03 2660.85,1408.03 2660.85,1395.81 2660.92,1395.81 2660.92,1408.03 2661.15,1408.03 2661.15,1420.25 2661.15,1420.25 \n",
       "  2661.15,1432.47 2661.27,1432.47 2661.27,1420.25 2661.3,1420.25 2661.3,1432.47 2661.57,1432.47 2661.57,1420.25 2662,1420.25 2662,1408.03 2662.29,1408.03 \n",
       "  2662.29,1395.81 2662.6,1395.81 2662.6,1408.03 2663.08,1408.03 2663.08,1395.81 2663.82,1395.81 2663.82,1408.03 2664.17,1408.03 2664.17,1395.81 2665.09,1395.81 \n",
       "  2665.09,1408.03 2665.28,1408.03 2665.28,1420.25 2665.41,1420.25 2665.41,1408.03 2665.47,1408.03 2665.47,1420.25 2665.49,1420.25 2665.49,1408.03 2665.72,1408.03 \n",
       "  2665.72,1420.25 2666.34,1420.25 2666.34,1432.47 2666.92,1432.47 2666.92,1444.69 2667.33,1444.69 2667.33,1432.47 2667.35,1432.47 2667.35,1444.69 2667.53,1444.69 \n",
       "  2667.53,1432.47 2667.88,1432.47 2667.88,1420.25 2667.91,1420.25 2667.91,1432.47 2668.16,1432.47 2668.16,1420.25 2668.72,1420.25 2668.72,1408.03 2669.07,1408.03 \n",
       "  2669.07,1420.25 2669.65,1420.25 2669.65,1432.47 2669.95,1432.47 2669.95,1420.25 2669.96,1420.25 2669.96,1408.03 2670.13,1408.03 2670.13,1395.81 2670.21,1395.81 \n",
       "  2670.21,1408.03 2670.25,1408.03 2670.25,1420.25 2670.65,1420.25 2670.65,1432.47 2670.97,1432.47 2670.97,1420.25 2671.15,1420.25 2671.15,1432.47 2671.37,1432.47 \n",
       "  2671.37,1444.69 2671.45,1444.69 2671.45,1456.91 2671.65,1456.91 2671.65,1444.69 2673.5,1444.69 2673.5,1432.47 2674.01,1432.47 2674.01,1420.25 2674.1,1420.25 \n",
       "  2674.1,1432.47 2674.21,1432.47 2674.21,1420.25 2674.92,1420.25 2674.92,1432.47 2675.42,1432.47 2675.42,1420.25 2675.53,1420.25 2675.53,1432.47 2676.37,1432.47 \n",
       "  2676.37,1420.25 2676.39,1420.25 2676.39,1432.47 2677.48,1432.47 2677.48,1420.25 2677.65,1420.25 2677.65,1432.47 2678.39,1432.47 2678.39,1420.25 2678.75,1420.25 \n",
       "  2678.75,1408.03 2679.6,1408.03 2679.6,1420.25 2679.88,1420.25 2679.88,1432.47 2680.25,1432.47 2680.25,1420.25 2681.32,1420.25 2681.32,1408.03 2681.34,1408.03 \n",
       "  2681.34,1395.81 2681.86,1395.81 2681.86,1408.03 2681.94,1408.03 2681.94,1420.25 2682.78,1420.25 2682.78,1408.03 2682.84,1408.03 2682.84,1420.25 2684.19,1420.25 \n",
       "  2684.19,1408.03 2684.41,1408.03 2684.41,1395.81 2684.54,1395.81 2684.54,1383.59 2684.75,1383.59 2684.75,1395.81 2684.87,1395.81 2684.87,1383.59 2685.04,1383.59 \n",
       "  2685.04,1371.37 2685.07,1371.37 2685.07,1383.59 2685.19,1383.59 2685.19,1395.81 2685.48,1395.81 2685.48,1383.59 2685.89,1383.59 2685.89,1395.81 2686.44,1395.81 \n",
       "  2686.44,1408.03 2686.58,1408.03 2686.58,1395.81 2686.96,1395.81 2686.96,1383.59 2687.08,1383.59 2687.08,1395.81 2687.23,1395.81 2687.23,1383.59 2687.62,1383.59 \n",
       "  2687.62,1371.37 2687.7,1371.37 2687.7,1359.15 2688.18,1359.15 2688.18,1346.93 2688.22,1346.93 2688.22,1359.15 2688.25,1359.15 2688.25,1346.93 2688.34,1346.93 \n",
       "  2688.34,1334.71 2689.37,1334.71 2689.37,1322.49 2689.42,1322.49 2689.42,1334.71 2689.48,1334.71 2689.48,1322.49 2690,1322.49 2690,1310.27 2690.25,1310.27 \n",
       "  2690.25,1298.05 2690.83,1298.05 2690.83,1310.27 2691.14,1310.27 2691.14,1298.05 2691.8,1298.05 2691.8,1310.27 2691.94,1310.27 2691.94,1298.05 2692.89,1298.05 \n",
       "  2692.89,1310.27 2693.08,1310.27 2693.08,1298.05 2693.2,1298.05 2693.2,1285.83 2693.33,1285.83 2693.33,1273.61 2693.44,1273.61 2693.44,1285.83 2693.64,1285.83 \n",
       "  2693.64,1298.05 2694.07,1298.05 2694.07,1310.27 2694.48,1310.27 2694.48,1298.05 2694.92,1298.05 2694.92,1310.27 2695.1,1310.27 2695.1,1322.49 2695.1,1322.49 \n",
       "  2695.1,1334.71 2695.9,1334.71 2695.9,1346.93 2695.92,1346.93 2695.92,1359.15 2696.5,1359.15 2696.5,1371.37 2697.32,1371.37 2697.32,1383.59 2697.35,1383.59 \n",
       "  2697.35,1395.81 2698.59,1395.81 2698.59,1408.03 2699.06,1408.03 2699.06,1420.25 2699.56,1420.25 2699.56,1408.03 2699.74,1408.03 2699.74,1395.81 2699.86,1395.81 \n",
       "  2699.86,1383.59 2700.23,1383.59 2700.23,1395.81 2700.4,1395.81 2700.4,1408.03 2700.51,1408.03 2700.51,1420.25 2701.67,1420.25 2701.67,1408.03 2701.71,1408.03 \n",
       "  2701.71,1395.81 2702.09,1395.81 2702.09,1383.59 2702.33,1383.59 2702.33,1395.81 2702.67,1395.81 2702.67,1408.03 2702.73,1408.03 2702.73,1420.25 2702.88,1420.25 \n",
       "  2702.88,1408.03 2702.98,1408.03 2702.98,1420.25 2703.47,1420.25 2703.47,1408.03 2704.26,1408.03 2704.26,1395.81 2704.48,1395.81 2704.48,1408.03 2705.06,1408.03 \n",
       "  2705.06,1420.25 2705.93,1420.25 2705.93,1432.47 2706.45,1432.47 2706.45,1420.25 2706.5,1420.25 2706.5,1408.03 2706.61,1408.03 2706.61,1420.25 2706.96,1420.25 \n",
       "  2706.96,1408.03 2706.96,1408.03 2706.96,1420.25 2707.28,1420.25 2707.28,1408.03 2707.47,1408.03 2707.47,1395.81 2707.58,1395.81 2707.58,1383.59 2707.78,1383.59 \n",
       "  2707.78,1395.81 2708.32,1395.81 2708.32,1383.59 2708.39,1383.59 2708.39,1395.81 2708.4,1395.81 2708.4,1383.59 2708.82,1383.59 2708.82,1395.81 2708.88,1395.81 \n",
       "  2708.88,1408.03 2709.42,1408.03 2709.42,1420.25 2709.44,1420.25 2709.44,1408.03 2709.8,1408.03 2709.8,1395.81 2710.22,1395.81 2710.22,1383.59 2710.23,1383.59 \n",
       "  2710.23,1395.81 2710.32,1395.81 2710.32,1408.03 2710.47,1408.03 2710.47,1395.81 2710.82,1395.81 2710.82,1408.03 2710.94,1408.03 2710.94,1395.81 2710.95,1395.81 \n",
       "  2710.95,1408.03 2711.17,1408.03 2711.17,1395.81 2711.24,1395.81 2711.24,1408.03 2713.1,1408.03 2713.1,1395.81 2713.65,1395.81 2713.65,1408.03 2713.93,1408.03 \n",
       "  2713.93,1420.25 2714.2,1420.25 2714.2,1432.47 2714.32,1432.47 2714.32,1444.69 2714.58,1444.69 2714.58,1456.91 2715.48,1456.91 2715.48,1444.69 2715.75,1444.69 \n",
       "  2715.75,1456.91 2716.21,1456.91 2716.21,1444.69 2716.26,1444.69 2716.26,1432.47 2717.24,1432.47 2717.24,1420.25 2717.45,1420.25 2717.45,1408.03 2717.73,1408.03 \n",
       "  2717.73,1420.25 2718.22,1420.25 2718.22,1432.47 2718.59,1432.47 2718.59,1420.25 2718.71,1420.25 2718.71,1432.47 2718.72,1432.47 2718.72,1444.69 2719.23,1444.69 \n",
       "  2719.23,1456.91 2719.64,1456.91 2719.64,1444.69 2719.7,1444.69 2719.7,1432.47 2720.07,1432.47 2720.07,1420.25 2720.09,1420.25 2720.09,1432.47 2720.45,1432.47 \n",
       "  2720.45,1444.69 2721.04,1444.69 2721.04,1456.91 2721.65,1456.91 2721.65,1444.69 2721.71,1444.69 2721.71,1432.47 2722.92,1432.47 2722.92,1444.69 2723.42,1444.69 \n",
       "  2723.42,1456.91 2723.85,1456.91 2723.85,1444.69 2724.44,1444.69 2724.44,1432.47 2724.6,1432.47 2724.6,1420.25 2725,1420.25 2725,1432.47 2725.09,1432.47 \n",
       "  2725.09,1420.25 2725.21,1420.25 2725.21,1432.47 2725.29,1432.47 2725.29,1444.69 2726.1,1444.69 2726.1,1432.47 2726.24,1432.47 2726.24,1420.25 2726.77,1420.25 \n",
       "  2726.77,1408.03 2726.8,1408.03 2726.8,1395.81 2727.5,1395.81 2727.5,1383.59 2727.91,1383.59 2727.91,1371.37 2728.51,1371.37 2728.51,1383.59 2729.14,1383.59 \n",
       "  2729.14,1371.37 2730.07,1371.37 2730.07,1383.59 2730.55,1383.59 2730.55,1395.81 2730.82,1395.81 2730.82,1408.03 2731.05,1408.03 2731.05,1420.25 2731.1,1420.25 \n",
       "  2731.1,1432.47 2731.44,1432.47 2731.44,1444.69 2732.15,1444.69 2732.15,1456.91 2732.73,1456.91 2732.73,1444.69 2732.81,1444.69 2732.81,1456.91 2732.94,1456.91 \n",
       "  2732.94,1444.69 2733.04,1444.69 2733.04,1432.47 2733.58,1432.47 2733.58,1420.25 2733.99,1420.25 2733.99,1432.47 2734.09,1432.47 2734.09,1420.25 2734.5,1420.25 \n",
       "  2734.5,1408.03 2734.64,1408.03 2734.64,1420.25 2735.03,1420.25 2735.03,1432.47 2735.44,1432.47 2735.44,1420.25 2735.81,1420.25 2735.81,1432.47 2735.99,1432.47 \n",
       "  2735.99,1444.69 2736.48,1444.69 2736.48,1456.91 2736.91,1456.91 2736.91,1444.69 2737.68,1444.69 2737.68,1456.91 2737.82,1456.91 2737.82,1444.69 2738.17,1444.69 \n",
       "  2738.17,1432.47 2738.44,1432.47 2738.44,1444.69 2739.46,1444.69 2739.46,1432.47 2740.06,1432.47 2740.06,1444.69 2740.33,1444.69 2740.33,1456.91 2740.55,1456.91 \n",
       "  2740.55,1444.69 2740.64,1444.69 2740.64,1456.91 2740.94,1456.91 2740.94,1444.69 2740.96,1444.69 2740.96,1456.91 2741.65,1456.91 2741.65,1444.69 2742.04,1444.69 \n",
       "  2742.04,1456.91 2742.1,1456.91 2742.1,1444.69 2742.32,1444.69 2742.32,1432.47 2742.35,1432.47 2742.35,1420.25 2742.41,1420.25 2742.41,1432.47 2742.86,1432.47 \n",
       "  2742.86,1420.25 2743.46,1420.25 2743.46,1432.47 2743.75,1432.47 2743.75,1444.69 2744.4,1444.69 2744.4,1432.47 2745.66,1432.47 2745.66,1420.25 2745.85,1420.25 \n",
       "  2745.85,1408.03 2746.05,1408.03 2746.05,1395.81 2746.65,1395.81 2746.65,1383.59 2746.98,1383.59 2746.98,1395.81 2747.9,1395.81 2747.9,1383.59 2747.99,1383.59 \n",
       "  2747.99,1371.37 2748.67,1371.37 2748.67,1359.15 2748.92,1359.15 2748.92,1346.93 2749.39,1346.93 2749.39,1359.15 2749.4,1359.15 2749.4,1371.37 2749.51,1371.37 \n",
       "  2749.51,1359.15 2749.6,1359.15 2749.6,1371.37 2749.9,1371.37 2749.9,1383.59 2750.02,1383.59 2750.02,1395.81 2750.13,1395.81 2750.13,1383.59 2750.56,1383.59 \n",
       "  2750.56,1395.81 2750.7,1395.81 2750.7,1383.59 2751.16,1383.59 2751.16,1371.37 2751.28,1371.37 2751.28,1359.15 2751.29,1359.15 2751.29,1346.93 2751.31,1346.93 \n",
       "  2751.31,1334.71 2751.89,1334.71 2751.89,1346.93 2752.31,1346.93 2752.31,1359.15 2752.57,1359.15 2752.57,1346.93 2753.32,1346.93 2753.32,1334.71 2753.68,1334.71 \n",
       "  2753.68,1346.93 2753.97,1346.93 2753.97,1334.71 2754.03,1334.71 2754.03,1346.93 2754.29,1346.93 2754.29,1334.71 2754.49,1334.71 2754.49,1322.49 2755.37,1322.49 \n",
       "  2755.37,1310.27 2755.63,1310.27 2755.63,1298.05 2756.13,1298.05 2756.13,1310.27 2756.24,1310.27 2756.24,1298.05 2756.52,1298.05 2756.52,1285.83 2756.66,1285.83 \n",
       "  2756.66,1273.61 2757.79,1273.61 2757.79,1285.83 2757.85,1285.83 2757.85,1298.05 2758.42,1298.05 2758.42,1310.27 2758.72,1310.27 2758.72,1298.05 2759.02,1298.05 \n",
       "  2759.02,1285.83 2759.39,1285.83 2759.39,1298.05 2759.93,1298.05 2759.93,1285.83 2760.21,1285.83 2760.21,1298.05 2760.5,1298.05 2760.5,1310.27 2760.62,1310.27 \n",
       "  2760.62,1322.49 2760.8,1322.49 2760.8,1310.27 2761.07,1310.27 2761.07,1298.05 2761.77,1298.05 2761.77,1310.27 2761.98,1310.27 2761.98,1322.49 2762.1,1322.49 \n",
       "  2762.1,1334.71 2762.43,1334.71 2762.43,1346.93 2763.16,1346.93 2763.16,1359.15 2763.37,1359.15 2763.37,1371.37 2764.24,1371.37 2764.24,1359.15 2764.71,1359.15 \n",
       "  2764.71,1371.37 2765.05,1371.37 2765.05,1383.59 2765.19,1383.59 2765.19,1371.37 2765.49,1371.37 2765.49,1383.59 2766.13,1383.59 2766.13,1371.37 2767.43,1371.37 \n",
       "  2767.43,1383.59 2767.45,1383.59 2767.45,1395.81 2767.58,1395.81 2767.58,1408.03 2767.77,1408.03 2767.77,1420.25 2768.13,1420.25 2768.13,1408.03 2772.26,1408.03 \n",
       "  2772.26,1395.81 2772.89,1395.81 2772.89,1383.59 2772.97,1383.59 2772.97,1371.37 2774.29,1371.37 2774.29,1359.15 2774.41,1359.15 2774.41,1371.37 2774.83,1371.37 \n",
       "  2774.83,1383.59 2775.43,1383.59 2775.43,1395.81 2775.46,1395.81 2775.46,1408.03 2775.53,1408.03 2775.53,1395.81 2776.06,1395.81 2776.06,1408.03 2776.61,1408.03 \n",
       "  2776.61,1395.81 2776.63,1395.81 2776.63,1383.59 2777.27,1383.59 2777.27,1371.37 2777.35,1371.37 2777.35,1359.15 2777.47,1359.15 2777.47,1346.93 2777.64,1346.93 \n",
       "  2777.64,1334.71 2777.94,1334.71 2777.94,1322.49 2779.02,1322.49 2779.02,1310.27 2779.28,1310.27 2779.28,1322.49 2779.5,1322.49 2779.5,1310.27 2779.56,1310.27 \n",
       "  2779.56,1298.05 2779.77,1298.05 2779.77,1285.83 2780.09,1285.83 2780.09,1273.61 2780.84,1273.61 2780.84,1285.83 2781.06,1285.83 2781.06,1273.61 2781.21,1273.61 \n",
       "  2781.21,1285.83 2781.76,1285.83 2781.76,1298.05 2781.97,1298.05 2781.97,1310.27 2781.98,1310.27 2781.98,1322.49 2782.34,1322.49 2782.34,1334.71 2783.03,1334.71 \n",
       "  2783.03,1322.49 2783.08,1322.49 2783.08,1310.27 2783.3,1310.27 2783.3,1322.49 2784.68,1322.49 2784.68,1334.71 2785.14,1334.71 2785.14,1346.93 2785.21,1346.93 \n",
       "  2785.21,1359.15 2785.7,1359.15 2785.7,1371.37 2785.72,1371.37 2785.72,1383.59 2785.91,1383.59 2785.91,1395.81 2786.29,1395.81 2786.29,1408.03 2786.57,1408.03 \n",
       "  2786.57,1395.81 2786.93,1395.81 2786.93,1383.59 2787.02,1383.59 2787.02,1371.37 2787.19,1371.37 2787.19,1383.59 2787.78,1383.59 2787.78,1395.81 2788.11,1395.81 \n",
       "  2788.11,1408.03 2788.28,1408.03 2788.28,1420.25 2788.4,1420.25 2788.4,1408.03 2788.41,1408.03 2788.41,1420.25 2788.49,1420.25 2788.49,1408.03 2789.42,1408.03 \n",
       "  2789.42,1395.81 2789.68,1395.81 2789.68,1408.03 2790.14,1408.03 2790.14,1420.25 2790.25,1420.25 2790.25,1432.47 2790.43,1432.47 2790.43,1444.69 2790.48,1444.69 \n",
       "  2790.48,1456.91 2790.6,1456.91 2790.6,1444.69 2791.75,1444.69 2791.75,1456.91 2794.37,1456.91 2794.37,1444.69 2794.55,1444.69 2794.55,1456.91 2794.8,1456.91 \n",
       "  2794.8,1444.69 2795.16,1444.69 2795.16,1456.91 2795.57,1456.91 2795.57,1444.69 2796.85,1444.69 2796.85,1456.91 2797.12,1456.91 2797.12,1444.69 2797.12,1444.69 \n",
       "  2797.12,1456.91 2797.51,1456.91 2797.51,1444.69 2797.89,1444.69 2797.89,1456.91 2798.23,1456.91 2798.23,1444.69 2799.07,1444.69 2799.07,1456.91 2801.21,1456.91 \n",
       "  2801.21,1444.69 2801.42,1444.69 2801.42,1456.91 2802.14,1456.91 2802.14,1444.69 2802.15,1444.69 2802.15,1456.91 2802.55,1456.91 2802.55,1444.69 2802.67,1444.69 \n",
       "  2802.67,1456.91 2802.82,1456.91 2802.82,1444.69 2803.33,1444.69 2803.33,1456.91 2805.48,1456.91 2805.48,1444.69 2805.78,1444.69 2805.78,1456.91 2807.08,1456.91 \n",
       "  2807.08,1444.69 2807.18,1444.69 2807.18,1456.91 2807.87,1456.91 2807.87,1444.69 2808.07,1444.69 2808.07,1456.91 2808.55,1456.91 2808.55,1444.69 2808.59,1444.69 \n",
       "  2808.59,1432.47 2808.67,1432.47 2808.67,1444.69 2808.8,1444.69 2808.8,1456.91 2809.5,1456.91 2809.5,1444.69 2809.56,1444.69 2809.56,1432.47 2809.91,1432.47 \n",
       "  2809.91,1444.69 2810.12,1444.69 2810.12,1432.47 2810.48,1432.47 2810.48,1420.25 2810.51,1420.25 2810.51,1408.03 2811.14,1408.03 2811.14,1395.81 2811.24,1395.81 \n",
       "  2811.24,1383.59 2811.25,1383.59 2811.25,1371.37 2811.63,1371.37 2811.63,1359.15 2812.33,1359.15 2812.33,1346.93 2813.05,1346.93 2813.05,1334.71 2813.26,1334.71 \n",
       "  2813.26,1322.49 2813.31,1322.49 2813.31,1310.27 2813.4,1310.27 2813.4,1322.49 2813.47,1322.49 2813.47,1310.27 2814.41,1310.27 2814.41,1322.49 2815.14,1322.49 \n",
       "  2815.14,1334.71 2815.44,1334.71 2815.44,1346.93 2815.7,1346.93 2815.7,1359.15 2815.76,1359.15 2815.76,1371.37 2815.84,1371.37 2815.84,1383.59 2816.01,1383.59 \n",
       "  2816.01,1371.37 2816.16,1371.37 2816.16,1359.15 2816.5,1359.15 2816.5,1346.93 2816.87,1346.93 2816.87,1334.71 2817.42,1334.71 2817.42,1346.93 2817.71,1346.93 \n",
       "  2817.71,1334.71 2817.85,1334.71 2817.85,1346.93 2818.07,1346.93 2818.07,1359.15 2818.62,1359.15 2818.62,1346.93 2818.64,1346.93 2818.64,1359.15 2818.8,1359.15 \n",
       "  2818.8,1371.37 2819.12,1371.37 2819.12,1359.15 2819.58,1359.15 2819.58,1346.93 2819.63,1346.93 2819.63,1359.15 2819.86,1359.15 2819.86,1371.37 2820.15,1371.37 \n",
       "  2820.15,1383.59 2820.38,1383.59 2820.38,1371.37 2820.74,1371.37 2820.74,1383.59 2821.33,1383.59 2821.33,1371.37 2821.63,1371.37 2821.63,1359.15 2821.77,1359.15 \n",
       "  2821.77,1371.37 2821.77,1371.37 2821.77,1383.59 2821.94,1383.59 2821.94,1395.81 2822,1395.81 2822,1408.03 2822.73,1408.03 2822.73,1395.81 2822.83,1395.81 \n",
       "  2822.83,1383.59 2822.86,1383.59 2822.86,1395.81 2823.18,1395.81 2823.18,1383.59 2823.21,1383.59 2823.21,1371.37 2823.39,1371.37 2823.39,1359.15 2823.66,1359.15 \n",
       "  2823.66,1371.37 2824.04,1371.37 2824.04,1383.59 2824.59,1383.59 2824.59,1395.81 2824.66,1395.81 2824.66,1408.03 2825.71,1408.03 2825.71,1420.25 2826.59,1420.25 \n",
       "  2826.59,1408.03 2826.61,1408.03 2826.61,1420.25 2826.82,1420.25 2826.82,1432.47 2826.83,1432.47 2826.83,1420.25 2826.9,1420.25 2826.9,1432.47 2827.02,1432.47 \n",
       "  2827.02,1444.69 2827.07,1444.69 2827.07,1456.91 2827.58,1456.91 2827.58,1444.69 2827.69,1444.69 2827.69,1456.91 2828.11,1456.91 2828.11,1444.69 2828.44,1444.69 \n",
       "  2828.44,1432.47 2828.72,1432.47 2828.72,1444.69 2828.82,1444.69 2828.82,1456.91 2828.88,1456.91 2828.88,1444.69 2829.24,1444.69 2829.24,1432.47 2829.97,1432.47 \n",
       "  2829.97,1444.69 2830.48,1444.69 2830.48,1456.91 2831.11,1456.91 2831.11,1444.69 2831.56,1444.69 2831.56,1456.91 2831.81,1456.91 2831.81,1444.69 2831.96,1444.69 \n",
       "  2831.96,1456.91 2832.2,1456.91 2832.2,1444.69 2832.37,1444.69 2832.37,1456.91 2834.02,1456.91 2834.02,1444.69 2834.1,1444.69 2834.1,1456.91 2835.06,1456.91 \n",
       "  2835.06,1444.69 2835.48,1444.69 2835.48,1432.47 2835.77,1432.47 2835.77,1444.69 2836.78,1444.69 2836.78,1432.47 2836.83,1432.47 2836.83,1444.69 2837.38,1444.69 \n",
       "  2837.38,1432.47 2837.46,1432.47 2837.46,1444.69 2838.35,1444.69 2838.35,1456.91 2838.7,1456.91 2838.7,1444.69 2839.06,1444.69 2839.06,1432.47 2839.16,1432.47 \n",
       "  2839.16,1444.69 2839.48,1444.69 2839.48,1456.91 2839.52,1456.91 2839.52,1444.69 2839.72,1444.69 2839.72,1456.91 2839.76,1456.91 2839.76,1444.69 2839.94,1444.69 \n",
       "  2839.94,1456.91 2841.07,1456.91 2841.07,1444.69 2841.49,1444.69 2841.49,1456.91 2843.46,1456.91 2843.46,1444.69 2843.54,1444.69 2843.54,1432.47 2844.07,1432.47 \n",
       "  2844.07,1444.69 2844.27,1444.69 2844.27,1432.47 2844.27,1432.47 2844.27,1444.69 2844.36,1444.69 2844.36,1432.47 2845.38,1432.47 2845.38,1444.69 2845.4,1444.69 \n",
       "  2845.4,1432.47 2845.59,1432.47 2845.59,1444.69 2846.21,1444.69 2846.21,1432.47 2846.27,1432.47 2846.27,1444.69 2846.61,1444.69 2846.61,1456.91 2847.94,1456.91 \n",
       "  2847.94,1444.69 2848.14,1444.69 2848.14,1456.91 2848.52,1456.91 2848.52,1444.69 2849.4,1444.69 2849.4,1456.91 2850.02,1456.91 2850.02,1444.69 2850.32,1444.69 \n",
       "  2850.32,1432.47 2850.72,1432.47 2850.72,1444.69 2851.17,1444.69 2851.17,1456.91 2852.07,1456.91 2852.07,1444.69 2852.21,1444.69 2852.21,1456.91 2853.54,1456.91 \n",
       "  2853.54,1444.69 2853.97,1444.69 2853.97,1432.47 2854.49,1432.47 2854.49,1444.69 2854.52,1444.69 2854.52,1432.47 2854.74,1432.47 2854.74,1420.25 2854.93,1420.25 \n",
       "  2854.93,1432.47 2855,1432.47 2855,1420.25 2855.16,1420.25 2855.16,1408.03 2855.62,1408.03 2855.62,1395.81 2855.8,1395.81 2855.8,1408.03 2855.94,1408.03 \n",
       "  2855.94,1420.25 2856.05,1420.25 2856.05,1408.03 2856.07,1408.03 2856.07,1420.25 2856.33,1420.25 2856.33,1408.03 2856.35,1408.03 2856.35,1420.25 2856.4,1420.25 \n",
       "  2856.4,1408.03 2857.34,1408.03 2857.34,1395.81 2857.65,1395.81 2857.65,1383.59 2858.34,1383.59 2858.34,1395.81 2858.51,1395.81 2858.51,1408.03 2858.97,1408.03 \n",
       "  2858.97,1395.81 2859.25,1395.81 2859.25,1408.03 2860.75,1408.03 2860.75,1395.81 2860.77,1395.81 2860.77,1383.59 2861.09,1383.59 2861.09,1371.37 2861.44,1371.37 \n",
       "  2861.44,1383.59 2861.74,1383.59 2861.74,1395.81 2862.01,1395.81 2862.01,1383.59 2862.18,1383.59 2862.18,1395.81 2863.41,1395.81 2863.41,1408.03 2863.41,1408.03 \n",
       "  2863.41,1395.81 2863.95,1395.81 2863.95,1408.03 2864.85,1408.03 2864.85,1420.25 2865.74,1420.25 2865.74,1432.47 2865.77,1432.47 2865.77,1420.25 2866.42,1420.25 \n",
       "  2866.42,1432.47 2866.57,1432.47 2866.57,1420.25 2867.15,1420.25 2867.15,1408.03 2867.3,1408.03 2867.3,1395.81 2867.86,1395.81 2867.86,1408.03 2868.02,1408.03 \n",
       "  2868.02,1420.25 2868.45,1420.25 2868.45,1408.03 2868.85,1408.03 2868.85,1420.25 2868.9,1420.25 2868.9,1408.03 2868.91,1408.03 2868.91,1420.25 2868.91,1420.25 \n",
       "  2868.91,1432.47 2868.95,1432.47 2868.95,1420.25 2868.99,1420.25 2868.99,1432.47 2869.07,1432.47 2869.07,1444.69 2869.32,1444.69 2869.32,1456.91 2870.29,1456.91 \n",
       "  2870.29,1444.69 2870.88,1444.69 2870.88,1432.47 2871.01,1432.47 2871.01,1420.25 2871.02,1420.25 2871.02,1408.03 2871.73,1408.03 2871.73,1420.25 2872.23,1420.25 \n",
       "  2872.23,1432.47 2872.46,1432.47 2872.46,1420.25 2872.49,1420.25 2872.49,1432.47 2872.57,1432.47 2872.57,1444.69 2872.73,1444.69 2872.73,1432.47 2873.48,1432.47 \n",
       "  2873.48,1420.25 2874.13,1420.25 2874.13,1432.47 2874.15,1432.47 2874.15,1420.25 2874.24,1420.25 2874.24,1432.47 2874.3,1432.47 2874.3,1444.69 2875.01,1444.69 \n",
       "  2875.01,1456.91 2875.51,1456.91 2875.51,1444.69 2875.76,1444.69 2875.76,1432.47 2875.95,1432.47 2875.95,1420.25 2875.96,1420.25 2875.96,1408.03 2876.78,1408.03 \n",
       "  2876.78,1395.81 2876.95,1395.81 2876.95,1383.59 2877.05,1383.59 2877.05,1395.81 2877.07,1395.81 2877.07,1383.59 2877.28,1383.59 2877.28,1395.81 2877.36,1395.81 \n",
       "  2877.36,1408.03 2878.08,1408.03 2878.08,1395.81 2878.16,1395.81 2878.16,1383.59 2878.58,1383.59 2878.58,1371.37 2878.74,1371.37 2878.74,1383.59 2879.08,1383.59 \n",
       "  2879.08,1371.37 2879.7,1371.37 2879.7,1359.15 2879.88,1359.15 2879.88,1371.37 2880,1371.37 2880,1359.15 2880.61,1359.15 2880.61,1346.93 2880.66,1346.93 \n",
       "  2880.66,1359.15 2881.11,1359.15 2881.11,1371.37 2881.67,1371.37 2881.67,1359.15 2881.79,1359.15 2881.79,1371.37 2881.98,1371.37 2881.98,1383.59 2883.47,1383.59 \n",
       "  2883.47,1371.37 2883.75,1371.37 2883.75,1383.59 2883.95,1383.59 2883.95,1371.37 2884.1,1371.37 2884.1,1359.15 2885.3,1359.15 2885.3,1346.93 2885.5,1346.93 \n",
       "  2885.5,1359.15 2885.81,1359.15 2885.81,1346.93 2886.71,1346.93 2886.71,1334.71 2887.85,1334.71 2887.85,1322.49 2888.01,1322.49 2888.01,1310.27 2888.37,1310.27 \n",
       "  2888.37,1322.49 2888.46,1322.49 2888.46,1310.27 2888.46,1310.27 2888.46,1298.05 2888.87,1298.05 2888.87,1285.83 2891.11,1285.83 2891.11,1273.61 2891.88,1273.61 \n",
       "  2891.88,1261.39 2891.9,1261.39 2891.9,1249.17 2892.35,1249.17 2892.35,1261.39 2892.38,1261.39 2892.38,1249.17 2892.45,1249.17 2892.45,1236.95 2893.86,1236.95 \n",
       "  2893.86,1249.17 2894.14,1249.17 2894.14,1261.39 2894.3,1261.39 2894.3,1249.17 2895.78,1249.17 2895.78,1236.95 2895.85,1236.95 2895.85,1224.74 2895.95,1224.74 \n",
       "  2895.95,1212.52 2895.99,1212.52 2895.99,1200.3 2896.49,1200.3 2896.49,1212.52 2897.44,1212.52 2897.44,1224.74 2897.67,1224.74 2897.67,1212.52 2898.01,1212.52 \n",
       "  2898.01,1224.74 2898.49,1224.74 2898.49,1236.95 2898.53,1236.95 2898.53,1224.74 2898.59,1224.74 2898.59,1236.95 2899,1236.95 2899,1249.17 2899.16,1249.17 \n",
       "  2899.16,1261.39 2899.31,1261.39 2899.31,1249.17 2899.76,1249.17 2899.76,1261.39 2900.13,1261.39 2900.13,1273.61 2900.21,1273.61 2900.21,1285.83 2900.63,1285.83 \n",
       "  2900.63,1273.61 2900.84,1273.61 2900.84,1285.83 2900.9,1285.83 2900.9,1298.05 2902.34,1298.05 2902.34,1285.83 2903.82,1285.83 2903.82,1273.61 2904.12,1273.61 \n",
       "  2904.12,1285.83 2904.36,1285.83 2904.36,1298.05 2906.38,1298.05 2906.38,1285.83 2906.4,1285.83 2906.4,1273.61 2906.42,1273.61 2906.42,1261.39 2906.74,1261.39 \n",
       "  2906.74,1273.61 2907.14,1273.61 2907.14,1285.83 2907.33,1285.83 2907.33,1273.61 2907.54,1273.61 2907.54,1261.39 2908.2,1261.39 2908.2,1249.17 2908.29,1249.17 \n",
       "  2908.29,1236.95 2908.32,1236.95 2908.32,1224.74 2908.7,1224.74 2908.7,1212.52 2909.31,1212.52 2909.31,1200.3 2909.84,1200.3 2909.84,1188.08 2909.88,1188.08 \n",
       "  2909.88,1175.86 2909.97,1175.86 2909.97,1188.08 2909.98,1188.08 2909.98,1175.86 2910.21,1175.86 2910.21,1188.08 2910.22,1188.08 2910.22,1200.3 2910.33,1200.3 \n",
       "  2910.33,1212.52 2910.86,1212.52 2910.86,1224.74 2911.08,1224.74 2911.08,1236.95 2911.83,1236.95 2911.83,1249.17 2912.5,1249.17 2912.5,1261.39 2912.52,1261.39 \n",
       "  2912.52,1249.17 2912.59,1249.17 2912.59,1261.39 2912.74,1261.39 2912.74,1249.17 2913.15,1249.17 2913.15,1261.39 2913.9,1261.39 2913.9,1273.61 2913.95,1273.61 \n",
       "  2913.95,1285.83 2914.28,1285.83 2914.28,1273.61 2914.36,1273.61 2914.36,1261.39 2914.8,1261.39 2914.8,1249.17 2915.28,1249.17 2915.28,1261.39 2916.26,1261.39 \n",
       "  2916.26,1273.61 2917.13,1273.61 2917.13,1285.83 2917.8,1285.83 2917.8,1298.05 2918.15,1298.05 2918.15,1285.83 2918.57,1285.83 2918.57,1273.61 2918.63,1273.61 \n",
       "  2918.63,1261.39 2918.67,1261.39 2918.67,1249.17 2918.87,1249.17 2918.87,1261.39 2918.89,1261.39 2918.89,1249.17 2918.99,1249.17 2918.99,1236.95 2919.4,1236.95 \n",
       "  2919.4,1249.17 2920.23,1249.17 2920.23,1236.95 2920.29,1236.95 2920.29,1224.74 2920.53,1224.74 2920.53,1236.95 2920.57,1236.95 2920.57,1249.17 2920.89,1249.17 \n",
       "  2920.89,1236.95 2921.54,1236.95 2921.54,1249.17 2921.58,1249.17 2921.58,1261.39 2921.74,1261.39 2921.74,1273.61 2921.79,1273.61 2921.79,1285.83 2922.3,1285.83 \n",
       "  2922.3,1273.61 2922.41,1273.61 2922.41,1261.39 2922.47,1261.39 2922.47,1249.17 2922.77,1249.17 2922.77,1236.95 2923.81,1236.95 2923.81,1249.17 2923.83,1249.17 \n",
       "  2923.83,1236.95 2924.74,1236.95 2924.74,1249.17 2924.92,1249.17 2924.92,1261.39 2925.07,1261.39 2925.07,1249.17 2925.37,1249.17 2925.37,1236.95 2925.46,1236.95 \n",
       "  2925.46,1249.17 2925.51,1249.17 2925.51,1236.95 2925.84,1236.95 2925.84,1249.17 2926.56,1249.17 2926.56,1236.95 2927.37,1236.95 2927.37,1249.17 2928.18,1249.17 \n",
       "  2928.18,1236.95 2928.31,1236.95 2928.31,1249.17 2928.68,1249.17 2928.68,1236.95 2928.89,1236.95 2928.89,1224.74 2929.35,1224.74 2929.35,1236.95 2929.92,1236.95 \n",
       "  2929.92,1224.74 2930.08,1224.74 2930.08,1236.95 2930.21,1236.95 2930.21,1249.17 2930.54,1249.17 2930.54,1236.95 2932.16,1236.95 2932.16,1224.74 2932.28,1224.74 \n",
       "  2932.28,1236.95 2932.56,1236.95 2932.56,1249.17 2932.66,1249.17 2932.66,1261.39 2933.18,1261.39 2933.18,1273.61 2933.21,1273.61 2933.21,1285.83 2933.47,1285.83 \n",
       "  2933.47,1298.05 2934.79,1298.05 2934.79,1285.83 2935.03,1285.83 2935.03,1273.61 2935.44,1273.61 2935.44,1261.39 2935.68,1261.39 2935.68,1273.61 2936.11,1273.61 \n",
       "  2936.11,1261.39 2936.37,1261.39 2936.37,1249.17 2936.52,1249.17 2936.52,1261.39 2936.59,1261.39 2936.59,1273.61 2937.78,1273.61 2937.78,1285.83 2937.81,1285.83 \n",
       "  2937.81,1298.05 2938.24,1298.05 2938.24,1310.27 2938.35,1310.27 2938.35,1322.49 2938.56,1322.49 2938.56,1310.27 2939.22,1310.27 2939.22,1298.05 2939.31,1298.05 \n",
       "  2939.31,1285.83 2940.15,1285.83 2940.15,1273.61 2940.5,1273.61 2940.5,1285.83 2940.87,1285.83 2940.87,1298.05 2941.05,1298.05 2941.05,1285.83 2941.52,1285.83 \n",
       "  2941.52,1298.05 2941.56,1298.05 2941.56,1285.83 2942.33,1285.83 2942.33,1298.05 2942.58,1298.05 2942.58,1285.83 2942.68,1285.83 2942.68,1298.05 2942.96,1298.05 \n",
       "  2942.96,1285.83 2942.97,1285.83 2942.97,1298.05 2943.15,1298.05 2943.15,1285.83 2943.38,1285.83 2943.38,1298.05 2943.58,1298.05 2943.58,1310.27 2943.71,1310.27 \n",
       "  2943.71,1322.49 2943.92,1322.49 2943.92,1334.71 2943.98,1334.71 2943.98,1322.49 2944.24,1322.49 2944.24,1310.27 2944.37,1310.27 2944.37,1298.05 2944.61,1298.05 \n",
       "  2944.61,1310.27 2944.68,1310.27 2944.68,1322.49 2945.12,1322.49 2945.12,1334.71 2945.98,1334.71 2945.98,1346.93 2945.99,1346.93 2945.99,1334.71 2946.94,1334.71 \n",
       "  2946.94,1346.93 2947.06,1346.93 2947.06,1334.71 2947.13,1334.71 2947.13,1346.93 2947.18,1346.93 2947.18,1334.71 2947.18,1334.71 2947.18,1346.93 2947.4,1346.93 \n",
       "  2947.4,1334.71 2948.02,1334.71 2948.02,1322.49 2948.03,1322.49 2948.03,1310.27 2948.07,1310.27 2948.07,1298.05 2948.09,1298.05 2948.09,1285.83 2948.44,1285.83 \n",
       "  2948.44,1298.05 2948.76,1298.05 2948.76,1310.27 2949.23,1310.27 2949.23,1322.49 2949.94,1322.49 2949.94,1310.27 2949.97,1310.27 2949.97,1322.49 2950.63,1322.49 \n",
       "  2950.63,1310.27 2950.88,1310.27 2950.88,1322.49 2951,1322.49 2951,1310.27 2951.17,1310.27 2951.17,1322.49 2951.84,1322.49 2951.84,1310.27 2952.5,1310.27 \n",
       "  2952.5,1298.05 2952.78,1298.05 2952.78,1310.27 2953.1,1310.27 2953.1,1298.05 2953.5,1298.05 2953.5,1310.27 2953.64,1310.27 2953.64,1322.49 2953.8,1322.49 \n",
       "  2953.8,1334.71 2954.12,1334.71 2954.12,1346.93 2955.05,1346.93 2955.05,1359.15 2955.87,1359.15 2955.87,1346.93 2955.97,1346.93 2955.97,1359.15 2956.07,1359.15 \n",
       "  2956.07,1346.93 2956.37,1346.93 2956.37,1334.71 2956.56,1334.71 2956.56,1322.49 2957.09,1322.49 2957.09,1334.71 2957.46,1334.71 2957.46,1322.49 2957.47,1322.49 \n",
       "  2957.47,1310.27 2957.86,1310.27 2957.86,1322.49 2958.5,1322.49 2958.5,1334.71 2958.76,1334.71 2958.76,1346.93 2959.01,1346.93 2959.01,1359.15 2959.95,1359.15 \n",
       "  2959.95,1371.37 2960.26,1371.37 2960.26,1383.59 2960.31,1383.59 2960.31,1395.81 2961.31,1395.81 2961.31,1408.03 2961.53,1408.03 2961.53,1395.81 2962.36,1395.81 \n",
       "  2962.36,1383.59 2963.35,1383.59 2963.35,1371.37 2963.71,1371.37 2963.71,1383.59 2963.94,1383.59 2963.94,1395.81 2963.95,1395.81 2963.95,1383.59 2964.23,1383.59 \n",
       "  2964.23,1371.37 2964.45,1371.37 2964.45,1383.59 2964.9,1383.59 2964.9,1371.37 2965.54,1371.37 2965.54,1359.15 2966.29,1359.15 2966.29,1371.37 2966.68,1371.37 \n",
       "  2966.68,1383.59 2966.69,1383.59 2966.69,1395.81 2966.77,1395.81 2966.77,1408.03 2966.83,1408.03 2966.83,1395.81 2966.84,1395.81 2966.84,1383.59 2967.08,1383.59 \n",
       "  2967.08,1371.37 2967.18,1371.37 2967.18,1383.59 2968.49,1383.59 2968.49,1371.37 2969.24,1371.37 2969.24,1383.59 2969.5,1383.59 2969.5,1395.81 2969.67,1395.81 \n",
       "  2969.67,1408.03 2971.21,1408.03 2971.21,1395.81 2971.33,1395.81 2971.33,1383.59 2971.51,1383.59 2971.51,1371.37 2971.78,1371.37 2971.78,1359.15 2972.41,1359.15 \n",
       "  2972.41,1371.37 2972.46,1371.37 2972.46,1383.59 2972.5,1383.59 2972.5,1371.37 2973.05,1371.37 2973.05,1359.15 2974.35,1359.15 2974.35,1371.37 2974.44,1371.37 \n",
       "  2974.44,1383.59 2975.63,1383.59 2975.63,1371.37 2975.65,1371.37 2975.65,1383.59 2975.93,1383.59 2975.93,1371.37 2975.94,1371.37 2975.94,1359.15 2976.19,1359.15 \n",
       "  2976.19,1371.37 2976.34,1371.37 2976.34,1383.59 2976.83,1383.59 2976.83,1395.81 2977.21,1395.81 2977.21,1383.59 2977.94,1383.59 2977.94,1371.37 2978.44,1371.37 \n",
       "  2978.44,1359.15 2979.05,1359.15 2979.05,1371.37 2979.14,1371.37 2979.14,1359.15 2979.5,1359.15 2979.5,1371.37 2979.76,1371.37 2979.76,1359.15 2980.04,1359.15 \n",
       "  2980.04,1371.37 2980.22,1371.37 2980.22,1383.59 2981.23,1383.59 2981.23,1371.37 2982.82,1371.37 2982.82,1383.59 2983.35,1383.59 2983.35,1371.37 2984.07,1371.37 \n",
       "  2984.07,1383.59 2984.2,1383.59 2984.2,1371.37 2984.41,1371.37 2984.41,1359.15 2984.55,1359.15 2984.55,1371.37 2984.86,1371.37 2984.86,1383.59 2985.25,1383.59 \n",
       "  2985.25,1395.81 2985.35,1395.81 2985.35,1408.03 2986.83,1408.03 2986.83,1420.25 2987.29,1420.25 2987.29,1432.47 2988.61,1432.47 2988.61,1420.25 2989.99,1420.25 \n",
       "  2989.99,1408.03 2990.58,1408.03 2990.58,1395.81 2990.61,1395.81 2990.61,1383.59 2990.98,1383.59 2990.98,1371.37 2991.62,1371.37 2991.62,1359.15 2991.82,1359.15 \n",
       "  2991.82,1371.37 2991.85,1371.37 2991.85,1383.59 2992.33,1383.59 2992.33,1395.81 2992.63,1395.81 2992.63,1408.03 2993.04,1408.03 2993.04,1395.81 2993.24,1395.81 \n",
       "  2993.24,1383.59 2993.45,1383.59 2993.45,1395.81 2994.38,1395.81 2994.38,1383.59 2994.65,1383.59 2994.65,1395.81 2995.44,1395.81 2995.44,1408.03 2995.82,1408.03 \n",
       "  2995.82,1395.81 2996.35,1395.81 2996.35,1383.59 2997.16,1383.59 2997.16,1371.37 2997.22,1371.37 2997.22,1359.15 2997.23,1359.15 2997.23,1371.37 2997.37,1371.37 \n",
       "  2997.37,1359.15 2997.73,1359.15 2997.73,1371.37 2997.88,1371.37 2997.88,1359.15 2998.2,1359.15 2998.2,1371.37 2998.21,1371.37 2998.21,1383.59 2998.28,1383.59 \n",
       "  2998.28,1395.81 3000.08,1395.81 3000.08,1408.03 3000.26,1408.03 3000.26,1395.81 3000.33,1395.81 3000.33,1408.03 3000.47,1408.03 3000.47,1420.25 3000.62,1420.25 \n",
       "  3000.62,1432.47 3001.57,1432.47 3001.57,1420.25 3001.61,1420.25 3001.61,1408.03 3002.21,1408.03 3002.21,1395.81 3003.27,1395.81 3003.27,1408.03 3003.44,1408.03 \n",
       "  3003.44,1395.81 3004.06,1395.81 3004.06,1408.03 3004.19,1408.03 3004.19,1420.25 3004.28,1420.25 3004.28,1408.03 3004.33,1408.03 3004.33,1395.81 3005.21,1395.81 \n",
       "  3005.21,1408.03 3005.76,1408.03 3005.76,1395.81 3005.98,1395.81 3005.98,1408.03 3006.04,1408.03 3006.04,1420.25 3006.16,1420.25 3006.16,1408.03 3006.2,1408.03 \n",
       "  3006.2,1395.81 3006.39,1395.81 3006.39,1408.03 3006.52,1408.03 3006.52,1420.25 3007.03,1420.25 3007.03,1432.47 3007.5,1432.47 3007.5,1444.69 3008.06,1444.69 \n",
       "  3008.06,1456.91 3008.23,1456.91 3008.23,1444.69 3008.39,1444.69 3008.39,1456.91 3008.98,1456.91 3008.98,1444.69 3009.08,1444.69 3009.08,1432.47 3009.9,1432.47 \n",
       "  3009.9,1420.25 3010.07,1420.25 3010.07,1408.03 3010.25,1408.03 3010.25,1420.25 3010.66,1420.25 3010.66,1432.47 3010.78,1432.47 3010.78,1420.25 3011,1420.25 \n",
       "  3011,1408.03 3011.73,1408.03 3011.73,1420.25 3012.28,1420.25 3012.28,1408.03 3012.87,1408.03 3012.87,1395.81 3013.41,1395.81 3013.41,1408.03 3013.76,1408.03 \n",
       "  3013.76,1420.25 3013.97,1420.25 3013.97,1432.47 3015,1432.47 3015,1444.69 3015.8,1444.69 3015.8,1456.91 3016.23,1456.91 3016.23,1444.69 3016.47,1444.69 \n",
       "  3016.47,1432.47 3017.93,1432.47 3017.93,1420.25 3018.2,1420.25 3018.2,1408.03 3018.53,1408.03 3018.53,1420.25 3019.11,1420.25 3019.11,1432.47 3019.31,1432.47 \n",
       "  3019.31,1444.69 3019.46,1444.69 3019.46,1456.91 3019.49,1456.91 3019.49,1444.69 3019.93,1444.69 3019.93,1432.47 3019.98,1432.47 3019.98,1444.69 3020.4,1444.69 \n",
       "  3020.4,1432.47 3020.67,1432.47 3020.67,1420.25 3021.23,1420.25 3021.23,1432.47 3021.36,1432.47 3021.36,1420.25 3021.9,1420.25 3021.9,1432.47 3022.44,1432.47 \n",
       "  3022.44,1444.69 3022.55,1444.69 3022.55,1456.91 3024.4,1456.91 3024.4,1444.69 3024.47,1444.69 3024.47,1456.91 3024.5,1456.91 3024.5,1444.69 3024.56,1444.69 \n",
       "  3024.56,1432.47 3024.59,1432.47 3024.59,1444.69 3024.9,1444.69 3024.9,1456.91 3025.85,1456.91 3025.85,1444.69 3025.91,1444.69 3025.91,1432.47 3026,1432.47 \n",
       "  3026,1444.69 3026.02,1444.69 3026.02,1456.91 3026.13,1456.91 3026.13,1444.69 3026.48,1444.69 3026.48,1456.91 3026.97,1456.91 3026.97,1444.69 3027.5,1444.69 \n",
       "  3027.5,1432.47 3027.93,1432.47 3027.93,1444.69 3027.95,1444.69 3027.95,1456.91 3028.25,1456.91 3028.25,1444.69 3028.37,1444.69 3028.37,1456.91 3028.7,1456.91 \n",
       "  3028.7,1444.69 3028.71,1444.69 3028.71,1456.91 3029.15,1456.91 3029.15,1444.69 3029.64,1444.69 3029.64,1432.47 3030.61,1432.47 3030.61,1444.69 3031.1,1444.69 \n",
       "  3031.1,1456.91 3031.81,1456.91 3031.81,1444.69 3032.78,1444.69 3032.78,1432.47 3033.05,1432.47 3033.05,1444.69 3033.41,1444.69 3033.41,1456.91 3034.21,1456.91 \n",
       "  3034.21,1444.69 3034.74,1444.69 3034.74,1432.47 3035.23,1432.47 3035.23,1420.25 3035.89,1420.25 3035.89,1408.03 3036.29,1408.03 3036.29,1420.25 3036.35,1420.25 \n",
       "  3036.35,1408.03 3036.44,1408.03 3036.44,1395.81 3036.96,1395.81 3036.96,1408.03 3037.31,1408.03 3037.31,1420.25 3037.61,1420.25 3037.61,1408.03 3037.91,1408.03 \n",
       "  3037.91,1420.25 3038.38,1420.25 3038.38,1432.47 3038.47,1432.47 3038.47,1420.25 3038.58,1420.25 3038.58,1408.03 3038.7,1408.03 3038.7,1395.81 3038.78,1395.81 \n",
       "  3038.78,1408.03 3040.13,1408.03 3040.13,1420.25 3040.23,1420.25 3040.23,1432.47 3040.58,1432.47 3040.58,1420.25 3040.63,1420.25 3040.63,1432.47 3040.63,1432.47 \n",
       "  3040.63,1444.69 3040.88,1444.69 3040.88,1432.47 3040.9,1432.47 3040.9,1444.69 3041.13,1444.69 3041.13,1456.91 3041.14,1456.91 3041.14,1444.69 3042,1444.69 \n",
       "  3042,1432.47 3042.01,1432.47 3042.01,1444.69 3042.81,1444.69 3042.81,1456.91 3044.61,1456.91 3044.61,1444.69 3044.76,1444.69 3044.76,1432.47 3044.76,1432.47 \n",
       "  3044.76,1420.25 3044.83,1420.25 3044.83,1408.03 3045.01,1408.03 3045.01,1420.25 3045.57,1420.25 3045.57,1408.03 3045.85,1408.03 3045.85,1420.25 3046.25,1420.25 \n",
       "  3046.25,1432.47 3046.46,1432.47 3046.46,1420.25 3046.58,1420.25 3046.58,1432.47 3046.66,1432.47 3046.66,1444.69 3046.79,1444.69 3046.79,1456.91 3047.13,1456.91 \n",
       "  3047.13,1444.69 3047.24,1444.69 3047.24,1456.91 3047.27,1456.91 3047.27,1444.69 3047.33,1444.69 3047.33,1432.47 3047.36,1432.47 3047.36,1420.25 3047.4,1420.25 \n",
       "  3047.4,1432.47 3047.7,1432.47 3047.7,1444.69 3047.7,1444.69 3047.7,1456.91 3047.71,1456.91 3047.71,1444.69 3049.09,1444.69 3049.09,1456.91 3049.5,1456.91 \n",
       "  3049.5,1444.69 3049.68,1444.69 3049.68,1432.47 3049.89,1432.47 3049.89,1444.69 3050.06,1444.69 3050.06,1456.91 3051.42,1456.91 3051.42,1444.69 3051.47,1444.69 \n",
       "  3051.47,1456.91 3051.81,1456.91 3051.81,1444.69 3052.22,1444.69 3052.22,1456.91 3052.41,1456.91 3052.41,1444.69 3052.62,1444.69 3052.62,1456.91 3054,1456.91 \n",
       "  3054,1444.69 3054.23,1444.69 3054.23,1456.91 3054.82,1456.91 3054.82,1444.69 3055.02,1444.69 3055.02,1432.47 3055.05,1432.47 3055.05,1420.25 3055.12,1420.25 \n",
       "  3055.12,1408.03 3055.22,1408.03 3055.22,1420.25 3055.54,1420.25 3055.54,1408.03 3056.02,1408.03 3056.02,1420.25 3056.19,1420.25 3056.19,1408.03 3056.48,1408.03 \n",
       "  3056.48,1420.25 3057.5,1420.25 3057.5,1432.47 3057.69,1432.47 3057.69,1444.69 3057.76,1444.69 3057.76,1432.47 3058.16,1432.47 3058.16,1420.25 3058.22,1420.25 \n",
       "  3058.22,1432.47 3058.24,1432.47 3058.24,1420.25 3058.31,1420.25 3058.31,1432.47 3058.43,1432.47 3058.43,1420.25 3058.44,1420.25 3058.44,1408.03 3059.2,1408.03 \n",
       "  3059.2,1395.81 3059.92,1395.81 3059.92,1408.03 3060.85,1408.03 3060.85,1420.25 3060.88,1420.25 3060.88,1432.47 3061.11,1432.47 3061.11,1420.25 3061.49,1420.25 \n",
       "  3061.49,1432.47 3061.61,1432.47 3061.61,1444.69 3061.62,1444.69 3061.62,1456.91 3062.47,1456.91 3062.47,1444.69 3062.62,1444.69 3062.62,1432.47 3062.93,1432.47 \n",
       "  3062.93,1420.25 3062.99,1420.25 3062.99,1408.03 3063.08,1408.03 3063.08,1395.81 3063.84,1395.81 3063.84,1383.59 3064.78,1383.59 3064.78,1395.81 3064.81,1395.81 \n",
       "  3064.81,1408.03 3065.49,1408.03 3065.49,1420.25 3065.96,1420.25 3065.96,1432.47 3066.13,1432.47 3066.13,1444.69 3066.21,1444.69 3066.21,1456.91 3066.22,1456.91 \n",
       "  3066.22,1444.69 3066.8,1444.69 3066.8,1456.91 3067.52,1456.91 3067.52,1444.69 3067.63,1444.69 3067.63,1432.47 3067.86,1432.47 3067.86,1444.69 3067.97,1444.69 \n",
       "  3067.97,1432.47 3067.97,1432.47 3067.97,1444.69 3067.99,1444.69 3067.99,1456.91 3069.18,1456.91 3069.18,1444.69 3069.65,1444.69 3069.65,1432.47 3069.79,1432.47 \n",
       "  3069.79,1444.69 3070.19,1444.69 3070.19,1432.47 3071.32,1432.47 3071.32,1444.69 3071.55,1444.69 3071.55,1432.47 3071.92,1432.47 3071.92,1420.25 3072.57,1420.25 \n",
       "  3072.57,1432.47 3072.61,1432.47 3072.61,1420.25 3073.65,1420.25 3073.65,1432.47 3074.12,1432.47 3074.12,1444.69 3074.17,1444.69 3074.17,1432.47 3074.96,1432.47 \n",
       "  3074.96,1420.25 3075.91,1420.25 3075.91,1408.03 3076.18,1408.03 3076.18,1395.81 3076.25,1395.81 3076.25,1383.59 3076.26,1383.59 3076.26,1395.81 3076.7,1395.81 \n",
       "  3076.7,1383.59 3076.97,1383.59 3076.97,1371.37 3077.01,1371.37 3077.01,1383.59 3077.26,1383.59 3077.26,1395.81 3077.45,1395.81 3077.45,1408.03 3077.77,1408.03 \n",
       "  3077.77,1420.25 3077.96,1420.25 3077.96,1432.47 3078.59,1432.47 3078.59,1444.69 3078.98,1444.69 3078.98,1432.47 3079.4,1432.47 3079.4,1420.25 3079.51,1420.25 \n",
       "  3079.51,1408.03 3079.58,1408.03 3079.58,1395.81 3079.68,1395.81 3079.68,1408.03 3080.17,1408.03 3080.17,1420.25 3080.48,1420.25 3080.48,1432.47 3080.83,1432.47 \n",
       "  3080.83,1444.69 3083.27,1444.69 3083.27,1432.47 3083.99,1432.47 3083.99,1444.69 3085.46,1444.69 3085.46,1456.91 3085.93,1456.91 3085.93,1444.69 3086,1444.69 \n",
       "  3086,1432.47 3086.01,1432.47 3086.01,1444.69 3086.55,1444.69 3086.55,1432.47 3086.66,1432.47 3086.66,1444.69 3087.19,1444.69 3087.19,1432.47 3087.51,1432.47 \n",
       "  3087.51,1444.69 3087.95,1444.69 3087.95,1432.47 3089.02,1432.47 3089.02,1420.25 3089.13,1420.25 3089.13,1432.47 3089.31,1432.47 3089.31,1420.25 3089.32,1420.25 \n",
       "  3089.32,1408.03 3089.57,1408.03 3089.57,1395.81 3089.74,1395.81 3089.74,1408.03 3089.74,1408.03 3089.74,1420.25 3089.99,1420.25 3089.99,1432.47 3091.16,1432.47 \n",
       "  3091.16,1444.69 3091.76,1444.69 3091.76,1432.47 3091.76,1432.47 3091.76,1444.69 3092.44,1444.69 3092.44,1432.47 3092.56,1432.47 3092.56,1444.69 3092.6,1444.69 \n",
       "  3092.6,1432.47 3094.45,1432.47 3094.45,1420.25 3094.65,1420.25 3094.65,1432.47 3094.94,1432.47 3094.94,1420.25 3095.91,1420.25 3095.91,1432.47 3096.24,1432.47 \n",
       "  3096.24,1444.69 3097.35,1444.69 3097.35,1432.47 3098.44,1432.47 3098.44,1420.25 3098.71,1420.25 3098.71,1432.47 3098.98,1432.47 3098.98,1420.25 3100.03,1420.25 \n",
       "  3100.03,1408.03 3100.41,1408.03 3100.41,1420.25 3100.55,1420.25 3100.55,1408.03 3100.89,1408.03 3100.89,1395.81 3101.3,1395.81 3101.3,1383.59 3101.53,1383.59 \n",
       "  3101.53,1371.37 3101.63,1371.37 3101.63,1383.59 3102.25,1383.59 3102.25,1395.81 3102.27,1395.81 3102.27,1383.59 3102.36,1383.59 3102.36,1371.37 3102.61,1371.37 \n",
       "  3102.61,1383.59 3102.63,1383.59 3102.63,1395.81 3102.91,1395.81 3102.91,1408.03 3102.98,1408.03 3102.98,1395.81 3103.24,1395.81 3103.24,1383.59 3103.39,1383.59 \n",
       "  3103.39,1371.37 3103.42,1371.37 3103.42,1359.15 3104.61,1359.15 3104.61,1371.37 3104.72,1371.37 3104.72,1383.59 3106.15,1383.59 3106.15,1395.81 3106.37,1395.81 \n",
       "  3106.37,1408.03 3107.2,1408.03 3107.2,1420.25 3107.77,1420.25 3107.77,1408.03 3108.1,1408.03 3108.1,1420.25 3108.15,1420.25 3108.15,1408.03 3108.25,1408.03 \n",
       "  3108.25,1420.25 3108.26,1420.25 3108.26,1432.47 3108.31,1432.47 3108.31,1420.25 3108.59,1420.25 3108.59,1432.47 3108.6,1432.47 3108.6,1420.25 3108.73,1420.25 \n",
       "  3108.73,1432.47 3108.75,1432.47 3108.75,1420.25 3108.97,1420.25 3108.97,1432.47 3109.36,1432.47 3109.36,1420.25 3109.67,1420.25 3109.67,1432.47 3109.7,1432.47 \n",
       "  3109.7,1444.69 3109.74,1444.69 3109.74,1456.91 3110.1,1456.91 3110.1,1444.69 3110.15,1444.69 3110.15,1432.47 3110.42,1432.47 3110.42,1444.69 3110.56,1444.69 \n",
       "  3110.56,1456.91 3110.58,1456.91 3110.58,1444.69 3111.4,1444.69 3111.4,1432.47 3111.73,1432.47 3111.73,1444.69 3111.77,1444.69 3111.77,1432.47 3111.88,1432.47 \n",
       "  3111.88,1444.69 3112.45,1444.69 3112.45,1456.91 3114.2,1456.91 3114.2,1444.69 3114.8,1444.69 3114.8,1432.47 3115.21,1432.47 3115.21,1420.25 3115.23,1420.25 \n",
       "  3115.23,1408.03 3115.97,1408.03 3115.97,1395.81 3116.21,1395.81 3116.21,1383.59 3116.52,1383.59 3116.52,1395.81 3116.62,1395.81 3116.62,1383.59 3117.02,1383.59 \n",
       "  3117.02,1395.81 3118.26,1395.81 3118.26,1408.03 3118.86,1408.03 3118.86,1420.25 3119.12,1420.25 3119.12,1432.47 3119.55,1432.47 3119.55,1420.25 3119.86,1420.25 \n",
       "  3119.86,1408.03 3120.04,1408.03 3120.04,1395.81 3120.36,1395.81 3120.36,1383.59 3120.76,1383.59 3120.76,1371.37 3120.98,1371.37 3120.98,1359.15 3121.51,1359.15 \n",
       "  3121.51,1371.37 3121.52,1371.37 3121.52,1383.59 3122.04,1383.59 3122.04,1371.37 3122.04,1371.37 3122.04,1359.15 3122.76,1359.15 3122.76,1371.37 3122.8,1371.37 \n",
       "  3122.8,1383.59 3123.11,1383.59 3123.11,1395.81 3123.11,1395.81 3123.11,1408.03 3123.2,1408.03 3123.2,1420.25 3123.54,1420.25 3123.54,1432.47 3123.55,1432.47 \n",
       "  3123.55,1444.69 3123.63,1444.69 3123.63,1456.91 3124.09,1456.91 3124.09,1444.69 3124.59,1444.69 3124.59,1432.47 3125.15,1432.47 3125.15,1444.69 3125.9,1444.69 \n",
       "  3125.9,1432.47 3126.1,1432.47 3126.1,1444.69 3126.4,1444.69 3126.4,1432.47 3126.58,1432.47 3126.58,1444.69 3127.02,1444.69 3127.02,1456.91 3127.2,1456.91 \n",
       "  3127.2,1444.69 3127.21,1444.69 3127.21,1456.91 3128.15,1456.91 3128.15,1444.69 3128.31,1444.69 3128.31,1456.91 3128.93,1456.91 3128.93,1444.69 3129.32,1444.69 \n",
       "  3129.32,1456.91 3130.01,1456.91 3130.01,1444.69 3130.29,1444.69 3130.29,1432.47 3130.31,1432.47 3130.31,1444.69 3130.49,1444.69 3130.49,1456.91 3130.65,1456.91 \n",
       "  3130.65,1444.69 3130.68,1444.69 3130.68,1432.47 3131.04,1432.47 3131.04,1420.25 3131.35,1420.25 3131.35,1432.47 3131.85,1432.47 3131.85,1420.25 3131.88,1420.25 \n",
       "  3131.88,1432.47 3132.81,1432.47 3132.81,1420.25 3133.07,1420.25 3133.07,1432.47 3133.77,1432.47 3133.77,1444.69 3134.32,1444.69 3134.32,1456.91 3134.66,1456.91 \n",
       "  3134.66,1444.69 3134.95,1444.69 3134.95,1456.91 3135.02,1456.91 3135.02,1444.69 3135.6,1444.69 3135.6,1432.47 3135.7,1432.47 3135.7,1420.25 3135.88,1420.25 \n",
       "  3135.88,1432.47 3136.12,1432.47 3136.12,1444.69 3136.47,1444.69 3136.47,1456.91 3137.53,1456.91 3137.53,1444.69 3137.72,1444.69 3137.72,1432.47 3137.82,1432.47 \n",
       "  3137.82,1420.25 3138.38,1420.25 3138.38,1432.47 3138.78,1432.47 3138.78,1420.25 3139.01,1420.25 3139.01,1432.47 3139.1,1432.47 3139.1,1420.25 3139.4,1420.25 \n",
       "  3139.4,1408.03 3139.42,1408.03 3139.42,1420.25 3139.72,1420.25 3139.72,1432.47 3139.82,1432.47 3139.82,1444.69 3139.96,1444.69 3139.96,1456.91 3142.28,1456.91 \n",
       "  3142.28,1444.69 3142.39,1444.69 3142.39,1432.47 3142.69,1432.47 3142.69,1420.25 3142.83,1420.25 3142.83,1408.03 3142.89,1408.03 3142.89,1420.25 3143.17,1420.25 \n",
       "  3143.17,1408.03 3143.35,1408.03 3143.35,1420.25 3143.36,1420.25 3143.36,1432.47 3143.41,1432.47 3143.41,1444.69 3144.02,1444.69 3144.02,1456.91 3144.85,1456.91 \n",
       "  3144.85,1444.69 3144.87,1444.69 3144.87,1432.47 3145.36,1432.47 3145.36,1444.69 3145.49,1444.69 3145.49,1456.91 3145.51,1456.91 3145.51,1444.69 3145.75,1444.69 \n",
       "  3145.75,1432.47 3145.97,1432.47 3145.97,1420.25 3146.06,1420.25 3146.06,1432.47 3146.5,1432.47 3146.5,1420.25 3146.79,1420.25 3146.79,1408.03 3146.94,1408.03 \n",
       "  3146.94,1420.25 3147.01,1420.25 3147.01,1408.03 3147.05,1408.03 3147.05,1420.25 3147.45,1420.25 3147.45,1432.47 3148.01,1432.47 3148.01,1420.25 3148.48,1420.25 \n",
       "  3148.48,1432.47 3148.66,1432.47 3148.66,1444.69 3149.52,1444.69 3149.52,1432.47 3149.58,1432.47 3149.58,1444.69 3149.64,1444.69 3149.64,1432.47 3151.1,1432.47 \n",
       "  3151.1,1444.69 3151.22,1444.69 3151.22,1456.91 3152.38,1456.91 3152.38,1444.69 3153.01,1444.69 3153.01,1456.91 3155.21,1456.91 3155.21,1444.69 3155.4,1444.69 \n",
       "  3155.4,1432.47 3155.94,1432.47 3155.94,1420.25 3156.68,1420.25 3156.68,1432.47 3156.71,1432.47 3156.71,1444.69 3157,1444.69 3157,1432.47 3157.58,1432.47 \n",
       "  3157.58,1444.69 3157.84,1444.69 3157.84,1456.91 3157.97,1456.91 3157.97,1444.69 3158.22,1444.69 3158.22,1456.91 3159.46,1456.91 3159.46,1444.69 3159.95,1444.69 \n",
       "  3159.95,1456.91 3160.49,1456.91 3160.49,1444.69 3161.17,1444.69 3161.17,1432.47 3161.43,1432.47 3161.43,1420.25 3161.47,1420.25 3161.47,1408.03 3163.16,1408.03 \n",
       "  3163.16,1395.81 3163.18,1395.81 3163.18,1408.03 3163.37,1408.03 3163.37,1395.81 3163.5,1395.81 3163.5,1383.59 3163.69,1383.59 3163.69,1371.37 3163.8,1371.37 \n",
       "  3163.8,1383.59 3164.15,1383.59 3164.15,1371.37 3164.18,1371.37 3164.18,1383.59 3164.22,1383.59 3164.22,1395.81 3164.27,1395.81 3164.27,1408.03 3164.58,1408.03 \n",
       "  3164.58,1395.81 3164.67,1395.81 3164.67,1383.59 3164.71,1383.59 3164.71,1371.37 3165.09,1371.37 3165.09,1359.15 3165.1,1359.15 3165.1,1371.37 3165.18,1371.37 \n",
       "  3165.18,1383.59 3165.18,1383.59 3165.18,1371.37 3165.93,1371.37 3165.93,1359.15 3166.12,1359.15 3166.12,1371.37 3166.14,1371.37 3166.14,1359.15 3166.16,1359.15 \n",
       "  3166.16,1371.37 3166.33,1371.37 3166.33,1383.59 3166.91,1383.59 3166.91,1395.81 3167.15,1395.81 3167.15,1408.03 3167.22,1408.03 3167.22,1420.25 3167.33,1420.25 \n",
       "  3167.33,1432.47 3167.35,1432.47 3167.35,1444.69 3167.68,1444.69 3167.68,1456.91 3167.73,1456.91 3167.73,1444.69 3168.14,1444.69 3168.14,1456.91 3169.31,1456.91 \n",
       "  3169.31,1444.69 3170.16,1444.69 3170.16,1432.47 3170.24,1432.47 3170.24,1420.25 3170.47,1420.25 3170.47,1408.03 3170.51,1408.03 3170.51,1420.25 3170.95,1420.25 \n",
       "  3170.95,1432.47 3171.21,1432.47 3171.21,1420.25 3171.61,1420.25 3171.61,1432.47 3171.61,1432.47 3171.61,1444.69 3171.75,1444.69 3171.75,1432.47 3171.78,1432.47 \n",
       "  3171.78,1420.25 3172.02,1420.25 3172.02,1408.03 3172.69,1408.03 3172.69,1395.81 3172.85,1395.81 3172.85,1383.59 3174.06,1383.59 3174.06,1395.81 3174.08,1395.81 \n",
       "  3174.08,1408.03 3175.45,1408.03 3175.45,1420.25 3176.14,1420.25 3176.14,1408.03 3176.44,1408.03 3176.44,1420.25 3176.48,1420.25 3176.48,1432.47 3177.11,1432.47 \n",
       "  3177.11,1420.25 3177.35,1420.25 3177.35,1432.47 3177.5,1432.47 3177.5,1444.69 3178.82,1444.69 3178.82,1456.91 3179.36,1456.91 3179.36,1444.69 3180.07,1444.69 \n",
       "  3180.07,1432.47 3180.63,1432.47 3180.63,1420.25 3181.37,1420.25 3181.37,1432.47 3181.53,1432.47 3181.53,1444.69 3181.74,1444.69 3181.74,1432.47 3181.79,1432.47 \n",
       "  3181.79,1444.69 3183.3,1444.69 3183.3,1456.91 3183.45,1456.91 3183.45,1444.69 3183.52,1444.69 3183.52,1432.47 3183.59,1432.47 3183.59,1444.69 3183.66,1444.69 \n",
       "  3183.66,1432.47 3184.15,1432.47 3184.15,1420.25 3184.49,1420.25 3184.49,1432.47 3185.16,1432.47 3185.16,1444.69 3185.68,1444.69 3185.68,1432.47 3185.81,1432.47 \n",
       "  3185.81,1420.25 3185.85,1420.25 3185.85,1408.03 3186.09,1408.03 3186.09,1395.81 3186.55,1395.81 3186.55,1383.59 3186.81,1383.59 3186.81,1371.37 3186.92,1371.37 \n",
       "  3186.92,1383.59 3187.12,1383.59 3187.12,1395.81 3187.58,1395.81 3187.58,1383.59 3188.08,1383.59 3188.08,1395.81 3188.24,1395.81 3188.24,1408.03 3188.72,1408.03 \n",
       "  3188.72,1420.25 3190.58,1420.25 3190.58,1408.03 3191.01,1408.03 3191.01,1420.25 3191.27,1420.25 3191.27,1432.47 3191.62,1432.47 3191.62,1444.69 3191.77,1444.69 \n",
       "  3191.77,1456.91 3192.43,1456.91 3192.43,1444.69 3192.82,1444.69 3192.82,1456.91 3194.32,1456.91 3194.32,1444.69 3194.63,1444.69 3194.63,1432.47 3195.33,1432.47 \n",
       "  3195.33,1420.25 3195.5,1420.25 3195.5,1408.03 3195.67,1408.03 3195.67,1420.25 3195.91,1420.25 3195.91,1408.03 3196.17,1408.03 3196.17,1420.25 3196.24,1420.25 \n",
       "  3196.24,1408.03 3196.38,1408.03 3196.38,1420.25 3196.64,1420.25 3196.64,1432.47 3196.73,1432.47 3196.73,1420.25 3196.74,1420.25 3196.74,1408.03 3196.98,1408.03 \n",
       "  3196.98,1395.81 3196.99,1395.81 3196.99,1383.59 3197.01,1383.59 3197.01,1371.37 3197.27,1371.37 3197.27,1359.15 3197.31,1359.15 3197.31,1346.93 3197.92,1346.93 \n",
       "  3197.92,1359.15 3198.06,1359.15 3198.06,1371.37 3198.6,1371.37 3198.6,1359.15 3199.01,1359.15 3199.01,1346.93 3199.75,1346.93 3199.75,1359.15 3199.81,1359.15 \n",
       "  3199.81,1346.93 3199.86,1346.93 3199.86,1359.15 3199.89,1359.15 3199.89,1371.37 3199.95,1371.37 3199.95,1359.15 3200.08,1359.15 3200.08,1371.37 3200.44,1371.37 \n",
       "  3200.44,1359.15 3200.6,1359.15 3200.6,1371.37 3200.62,1371.37 3200.62,1383.59 3200.96,1383.59 3200.96,1371.37 3201.84,1371.37 3201.84,1383.59 3201.85,1383.59 \n",
       "  3201.85,1371.37 3201.99,1371.37 3201.99,1383.59 3202.1,1383.59 3202.1,1395.81 3202.2,1395.81 3202.2,1383.59 3202.78,1383.59 3202.78,1371.37 3203.15,1371.37 \n",
       "  3203.15,1383.59 3203.27,1383.59 3203.27,1371.37 3204.05,1371.37 3204.05,1359.15 3204.07,1359.15 3204.07,1371.37 3204.1,1371.37 3204.1,1359.15 3204.91,1359.15 \n",
       "  3204.91,1371.37 3205.69,1371.37 3205.69,1383.59 3206.51,1383.59 3206.51,1371.37 3206.56,1371.37 3206.56,1359.15 3206.78,1359.15 3206.78,1371.37 3207.01,1371.37 \n",
       "  3207.01,1359.15 3208.27,1359.15 3208.27,1371.37 3208.43,1371.37 3208.43,1383.59 3208.62,1383.59 3208.62,1395.81 3209,1395.81 3209,1383.59 3209.33,1383.59 \n",
       "  3209.33,1395.81 3210.26,1395.81 3210.26,1383.59 3210.39,1383.59 3210.39,1371.37 3212.07,1371.37 3212.07,1383.59 3212.12,1383.59 3212.12,1395.81 3212.67,1395.81 \n",
       "  3212.67,1383.59 3213.03,1383.59 3213.03,1395.81 3213.09,1395.81 3213.09,1408.03 3213.97,1408.03 3213.97,1395.81 3214.24,1395.81 3214.24,1383.59 3214.24,1383.59 \n",
       "  3214.24,1395.81 3214.47,1395.81 3214.47,1408.03 3214.56,1408.03 3214.56,1420.25 3214.57,1420.25 3214.57,1408.03 3214.72,1408.03 3214.72,1395.81 3215.7,1395.81 \n",
       "  3215.7,1408.03 3215.89,1408.03 3215.89,1420.25 3216.27,1420.25 3216.27,1408.03 3216.3,1408.03 3216.3,1420.25 3216.56,1420.25 3216.56,1408.03 3217.32,1408.03 \n",
       "  3217.32,1420.25 3217.33,1420.25 3217.33,1408.03 3217.42,1408.03 3217.42,1395.81 3217.67,1395.81 3217.67,1383.59 3217.72,1383.59 3217.72,1371.37 3217.81,1371.37 \n",
       "  3217.81,1383.59 3217.93,1383.59 3217.93,1395.81 3218.1,1395.81 3218.1,1383.59 3218.25,1383.59 3218.25,1395.81 3218.53,1395.81 3218.53,1408.03 3218.59,1408.03 \n",
       "  3218.59,1420.25 3218.93,1420.25 3218.93,1432.47 3219.37,1432.47 3219.37,1420.25 3219.45,1420.25 3219.45,1408.03 3220.25,1408.03 3220.25,1395.81 3220.67,1395.81 \n",
       "  3220.67,1383.59 3220.7,1383.59 3220.7,1395.81 3220.98,1395.81 3220.98,1408.03 3221.69,1408.03 3221.69,1420.25 3221.87,1420.25 3221.87,1408.03 3221.93,1408.03 \n",
       "  3221.93,1420.25 3222,1420.25 3222,1432.47 3222.3,1432.47 3222.3,1444.69 3222.7,1444.69 3222.7,1456.91 3223.34,1456.91 3223.34,1444.69 3224.32,1444.69 \n",
       "  3224.32,1432.47 3224.36,1432.47 3224.36,1444.69 3224.8,1444.69 3224.8,1456.91 3224.97,1456.91 3224.97,1444.69 3225.2,1444.69 3225.2,1456.91 3226.02,1456.91 \n",
       "  3226.02,1444.69 3226.28,1444.69 3226.28,1432.47 3226.32,1432.47 3226.32,1420.25 3226.35,1420.25 3226.35,1408.03 3227.32,1408.03 3227.32,1420.25 3227.41,1420.25 \n",
       "  3227.41,1408.03 3227.86,1408.03 3227.86,1420.25 3228.06,1420.25 3228.06,1408.03 3228.33,1408.03 3228.33,1395.81 3228.67,1395.81 3228.67,1408.03 3229.38,1408.03 \n",
       "  3229.38,1395.81 3229.6,1395.81 3229.6,1408.03 3229.66,1408.03 3229.66,1395.81 3230.25,1395.81 3230.25,1383.59 3230.74,1383.59 3230.74,1395.81 3231.13,1395.81 \n",
       "  3231.13,1408.03 3231.3,1408.03 3231.3,1420.25 3231.59,1420.25 3231.59,1408.03 3231.81,1408.03 3231.81,1395.81 3232.03,1395.81 3232.03,1408.03 3233.61,1408.03 \n",
       "  3233.61,1420.25 3233.68,1420.25 3233.68,1432.47 3233.9,1432.47 3233.9,1444.69 3234.17,1444.69 3234.17,1432.47 3234.27,1432.47 3234.27,1444.69 3234.3,1444.69 \n",
       "  3234.3,1432.47 3234.96,1432.47 3234.96,1420.25 3235.25,1420.25 3235.25,1408.03 3235.27,1408.03 3235.27,1395.81 3235.37,1395.81 3235.37,1383.59 3235.63,1383.59 \n",
       "  3235.63,1371.37 3236.06,1371.37 3236.06,1359.15 3236.33,1359.15 3236.33,1346.93 3236.67,1346.93 3236.67,1359.15 3237.87,1359.15 3237.87,1346.93 3238.04,1346.93 \n",
       "  3238.04,1334.71 3238.06,1334.71 3238.06,1346.93 3238.26,1346.93 3238.26,1334.71 3238.41,1334.71 3238.41,1322.49 3238.53,1322.49 3238.53,1334.71 3238.75,1334.71 \n",
       "  3238.75,1346.93 3238.97,1346.93 3238.97,1359.15 3239.28,1359.15 3239.28,1371.37 3239.5,1371.37 3239.5,1383.59 3239.68,1383.59 3239.68,1371.37 3239.99,1371.37 \n",
       "  3239.99,1383.59 3240.33,1383.59 3240.33,1395.81 3240.53,1395.81 3240.53,1408.03 3240.78,1408.03 3240.78,1420.25 3241.43,1420.25 3241.43,1432.47 3242.13,1432.47 \n",
       "  3242.13,1444.69 3242.92,1444.69 3242.92,1456.91 3245.28,1456.91 3245.28,1444.69 3245.3,1444.69 3245.3,1432.47 3245.53,1432.47 3245.53,1444.69 3245.8,1444.69 \n",
       "  3245.8,1432.47 3246.56,1432.47 3246.56,1444.69 3246.86,1444.69 3246.86,1432.47 3246.95,1432.47 3246.95,1444.69 3247.05,1444.69 3247.05,1456.91 3248.03,1456.91 \n",
       "  3248.03,1444.69 3249.24,1444.69 3249.24,1432.47 3249.28,1432.47 3249.28,1420.25 3249.85,1420.25 3249.85,1408.03 3249.93,1408.03 3249.93,1420.25 3250.23,1420.25 \n",
       "  3250.23,1432.47 3250.35,1432.47 3250.35,1420.25 3251.64,1420.25 3251.64,1408.03 3251.8,1408.03 3251.8,1420.25 3252.18,1420.25 3252.18,1408.03 3252.25,1408.03 \n",
       "  3252.25,1420.25 3252.44,1420.25 3252.44,1432.47 3252.73,1432.47 3252.73,1420.25 3252.96,1420.25 3252.96,1408.03 3253.02,1408.03 3253.02,1420.25 3253.13,1420.25 \n",
       "  3253.13,1432.47 3253.21,1432.47 3253.21,1444.69 3253.23,1444.69 3253.23,1456.91 3253.48,1456.91 3253.48,1444.69 3254.02,1444.69 3254.02,1432.47 3254.79,1432.47 \n",
       "  3254.79,1420.25 3255.49,1420.25 3255.49,1408.03 3256.97,1408.03 3256.97,1420.25 3257.03,1420.25 3257.03,1408.03 3257.06,1408.03 3257.06,1395.81 3257.66,1395.81 \n",
       "  3257.66,1383.59 3258.27,1383.59 3258.27,1371.37 3258.72,1371.37 3258.72,1359.15 3259.39,1359.15 3259.39,1371.37 3259.47,1371.37 3259.47,1383.59 3259.66,1383.59 \n",
       "  3259.66,1395.81 3259.82,1395.81 3259.82,1408.03 3260.31,1408.03 3260.31,1395.81 3261.38,1395.81 3261.38,1383.59 3261.61,1383.59 3261.61,1395.81 3262.13,1395.81 \n",
       "  3262.13,1383.59 3262.57,1383.59 3262.57,1371.37 3263.14,1371.37 3263.14,1383.59 3263.63,1383.59 3263.63,1371.37 3264.44,1371.37 3264.44,1359.15 3264.67,1359.15 \n",
       "  3264.67,1346.93 3265.03,1346.93 3265.03,1359.15 3265.7,1359.15 3265.7,1371.37 3266.04,1371.37 3266.04,1359.15 3267.27,1359.15 3267.27,1371.37 3267.62,1371.37 \n",
       "  3267.62,1383.59 3267.66,1383.59 3267.66,1395.81 3268.22,1395.81 3268.22,1383.59 3268.66,1383.59 3268.66,1371.37 3268.7,1371.37 3268.7,1383.59 3268.74,1383.59 \n",
       "  3268.74,1371.37 3269.29,1371.37 3269.29,1359.15 3269.33,1359.15 3269.33,1346.93 3269.45,1346.93 3269.45,1359.15 3270.05,1359.15 3270.05,1371.37 3270.77,1371.37 \n",
       "  3270.77,1383.59 3270.77,1383.59 3270.77,1395.81 3271.2,1395.81 3271.2,1408.03 3271.31,1408.03 3271.31,1420.25 3271.41,1420.25 3271.41,1432.47 3271.98,1432.47 \n",
       "  3271.98,1420.25 3272.01,1420.25 3272.01,1432.47 3272.84,1432.47 3272.84,1420.25 3273.02,1420.25 3273.02,1408.03 3273.4,1408.03 3273.4,1395.81 3273.61,1395.81 \n",
       "  3273.61,1408.03 3273.78,1408.03 3273.78,1420.25 3274.08,1420.25 3274.08,1432.47 3274.23,1432.47 3274.23,1420.25 3274.94,1420.25 3274.94,1408.03 3274.94,1408.03 \n",
       "  3274.94,1395.81 3275.15,1395.81 3275.15,1408.03 3275.87,1408.03 3275.87,1420.25 3275.98,1420.25 3275.98,1408.03 3276.37,1408.03 3276.37,1395.81 3276.94,1395.81 \n",
       "  3276.94,1383.59 3277.6,1383.59 3277.6,1371.37 3278.18,1371.37 3278.18,1359.15 3278.74,1359.15 3278.74,1371.37 3278.92,1371.37 3278.92,1359.15 3278.97,1359.15 \n",
       "  3278.97,1371.37 3279.11,1371.37 3279.11,1383.59 3279.15,1383.59 3279.15,1371.37 3279.55,1371.37 3279.55,1359.15 3279.78,1359.15 3279.78,1346.93 3280.19,1346.93 \n",
       "  3280.19,1334.71 3280.35,1334.71 3280.35,1346.93 3280.48,1346.93 3280.48,1359.15 3281,1359.15 3281,1346.93 3281.17,1346.93 3281.17,1334.71 3282.4,1334.71 \n",
       "  3282.4,1322.49 3282.42,1322.49 3282.42,1310.27 3282.5,1310.27 3282.5,1298.05 3282.59,1298.05 3282.59,1310.27 3282.83,1310.27 3282.83,1322.49 3283.26,1322.49 \n",
       "  3283.26,1334.71 3283.59,1334.71 3283.59,1322.49 3283.75,1322.49 3283.75,1310.27 3284.5,1310.27 3284.5,1298.05 3284.97,1298.05 3284.97,1285.83 3285.09,1285.83 \n",
       "  3285.09,1298.05 3286.19,1298.05 3286.19,1310.27 3286.19,1310.27 3286.19,1322.49 3286.22,1322.49 3286.22,1310.27 3287.02,1310.27 3287.02,1298.05 3287.29,1298.05 \n",
       "  3287.29,1310.27 3287.46,1310.27 3287.46,1322.49 3288.93,1322.49 3288.93,1334.71 3289.09,1334.71 3289.09,1322.49 3289.71,1322.49 3289.71,1310.27 3290.17,1310.27 \n",
       "  3290.17,1322.49 3290.21,1322.49 3290.21,1334.71 3290.25,1334.71 3290.25,1322.49 3290.53,1322.49 3290.53,1334.71 3291.64,1334.71 3291.64,1346.93 3293.11,1346.93 \n",
       "  3293.11,1334.71 3293.16,1334.71 3293.16,1346.93 3293.37,1346.93 3293.37,1334.71 3293.43,1334.71 3293.43,1346.93 3293.7,1346.93 3293.7,1334.71 3293.8,1334.71 \n",
       "  3293.8,1322.49 3294.03,1322.49 3294.03,1334.71 3294.19,1334.71 3294.19,1322.49 3295.34,1322.49 3295.34,1334.71 3295.7,1334.71 3295.7,1322.49 3296.87,1322.49 \n",
       "  3296.87,1310.27 3296.88,1310.27 3296.88,1298.05 3297.17,1298.05 3297.17,1310.27 3297.52,1310.27 3297.52,1298.05 3298.97,1298.05 3298.97,1310.27 3299.09,1310.27 \n",
       "  3299.09,1298.05 3299.5,1298.05 3299.5,1310.27 3299.74,1310.27 3299.74,1298.05 3299.82,1298.05 3299.82,1285.83 3299.85,1285.83 3299.85,1298.05 3300.68,1298.05 \n",
       "  3300.68,1310.27 3301.09,1310.27 3301.09,1298.05 3301.12,1298.05 3301.12,1310.27 3302.01,1310.27 3302.01,1322.49 3302.4,1322.49 3302.4,1334.71 3302.85,1334.71 \n",
       "  3302.85,1322.49 3303.13,1322.49 3303.13,1310.27 3303.29,1310.27 3303.29,1322.49 3304.73,1322.49 3304.73,1334.71 3305.06,1334.71 3305.06,1346.93 3305.89,1346.93 \n",
       "  3305.89,1334.71 3305.96,1334.71 3305.96,1346.93 3306.14,1346.93 3306.14,1334.71 3307.45,1334.71 3307.45,1322.49 3307.94,1322.49 3307.94,1334.71 3308.22,1334.71 \n",
       "  3308.22,1322.49 3308.34,1322.49 3308.34,1310.27 3308.57,1310.27 3308.57,1298.05 3308.95,1298.05 3308.95,1310.27 3309.17,1310.27 3309.17,1322.49 3309.74,1322.49 \n",
       "  3309.74,1334.71 3309.92,1334.71 3309.92,1322.49 3309.96,1322.49 3309.96,1334.71 3310.34,1334.71 3310.34,1322.49 3310.63,1322.49 3310.63,1334.71 3310.83,1334.71 \n",
       "  3310.83,1346.93 3311.28,1346.93 3311.28,1359.15 3311.95,1359.15 3311.95,1346.93 3312.04,1346.93 3312.04,1334.71 3312.26,1334.71 3312.26,1346.93 3312.28,1346.93 \n",
       "  3312.28,1334.71 3312.43,1334.71 3312.43,1346.93 3312.73,1346.93 3312.73,1334.71 3313.38,1334.71 3313.38,1346.93 3313.43,1346.93 3313.43,1334.71 3313.61,1334.71 \n",
       "  3313.61,1322.49 3313.9,1322.49 3313.9,1310.27 3313.92,1310.27 3313.92,1298.05 3314.72,1298.05 3314.72,1285.83 3314.84,1285.83 3314.84,1273.61 3314.9,1273.61 \n",
       "  3314.9,1261.39 3315.36,1261.39 3315.36,1273.61 3316.1,1273.61 3316.1,1261.39 3316.68,1261.39 3316.68,1249.17 3316.73,1249.17 3316.73,1261.39 3316.8,1261.39 \n",
       "  3316.8,1273.61 3317.21,1273.61 3317.21,1261.39 3317.24,1261.39 3317.24,1249.17 3317.46,1249.17 3317.46,1236.95 3317.91,1236.95 3317.91,1224.74 3318,1224.74 \n",
       "  3318,1212.52 3318.13,1212.52 3318.13,1224.74 3318.62,1224.74 3318.62,1236.95 3319.48,1236.95 3319.48,1224.74 3319.88,1224.74 3319.88,1212.52 3320.35,1212.52 \n",
       "  3320.35,1200.3 3320.58,1200.3 3320.58,1188.08 3320.86,1188.08 3320.86,1200.3 3320.98,1200.3 3320.98,1212.52 3321.25,1212.52 3321.25,1224.74 3321.57,1224.74 \n",
       "  3321.57,1236.95 3321.78,1236.95 3321.78,1249.17 3322.15,1249.17 3322.15,1236.95 3322.6,1236.95 3322.6,1224.74 3322.78,1224.74 3322.78,1236.95 3322.8,1236.95 \n",
       "  3322.8,1224.74 3323.07,1224.74 3323.07,1212.52 3323.47,1212.52 3323.47,1224.74 3324.08,1224.74 3324.08,1236.95 3324.47,1236.95 3324.47,1224.74 3324.52,1224.74 \n",
       "  3324.52,1236.95 3324.69,1236.95 3324.69,1249.17 3324.96,1249.17 3324.96,1236.95 3325.19,1236.95 3325.19,1224.74 3325.49,1224.74 3325.49,1236.95 3325.58,1236.95 \n",
       "  3325.58,1249.17 3325.65,1249.17 3325.65,1236.95 3325.86,1236.95 3325.86,1224.74 3326.12,1224.74 3326.12,1212.52 3326.15,1212.52 3326.15,1200.3 3327.11,1200.3 \n",
       "  3327.11,1212.52 3327.14,1212.52 3327.14,1200.3 3327.37,1200.3 3327.37,1212.52 3328.77,1212.52 3328.77,1200.3 3328.96,1200.3 3328.96,1212.52 3329.19,1212.52 \n",
       "  3329.19,1200.3 3329.85,1200.3 3329.85,1188.08 3331.14,1188.08 3331.14,1175.86 3331.2,1175.86 3331.2,1188.08 3331.38,1188.08 3331.38,1175.86 3331.56,1175.86 \n",
       "  3331.56,1188.08 3331.57,1188.08 3331.57,1200.3 3331.77,1200.3 3331.77,1188.08 3332.49,1188.08 3332.49,1200.3 3332.78,1200.3 3332.78,1212.52 3333.26,1212.52 \n",
       "  3333.26,1224.74 3333.77,1224.74 3333.77,1236.95 3334.32,1236.95 3334.32,1249.17 3335.04,1249.17 3335.04,1261.39 3335.61,1261.39 3335.61,1249.17 3335.63,1249.17 \n",
       "  3335.63,1261.39 3336.44,1261.39 3336.44,1273.61 3336.74,1273.61 3336.74,1261.39 3336.8,1261.39 3336.8,1249.17 3337.36,1249.17 3337.36,1236.95 3337.44,1236.95 \n",
       "  3337.44,1249.17 3337.79,1249.17 3337.79,1261.39 3337.93,1261.39 3337.93,1273.61 3337.99,1273.61 3337.99,1285.83 3338.3,1285.83 3338.3,1273.61 3338.34,1273.61 \n",
       "  3338.34,1285.83 3338.68,1285.83 3338.68,1298.05 3339.07,1298.05 3339.07,1310.27 3339.8,1310.27 3339.8,1322.49 3339.83,1322.49 3339.83,1334.71 3340.37,1334.71 \n",
       "  3340.37,1322.49 3340.76,1322.49 3340.76,1310.27 3340.84,1310.27 3340.84,1322.49 3341.18,1322.49 3341.18,1334.71 3341.26,1334.71 3341.26,1346.93 3342.05,1346.93 \n",
       "  3342.05,1359.15 3342.44,1359.15 3342.44,1346.93 3342.63,1346.93 3342.63,1334.71 3342.86,1334.71 3342.86,1346.93 3343.2,1346.93 3343.2,1359.15 3343.66,1359.15 \n",
       "  3343.66,1346.93 3343.74,1346.93 3343.74,1359.15 3344.25,1359.15 3344.25,1371.37 3345.89,1371.37 3345.89,1383.59 3345.97,1383.59 3345.97,1371.37 3346.17,1371.37 \n",
       "  3346.17,1359.15 3346.4,1359.15 3346.4,1346.93 3347.11,1346.93 3347.11,1334.71 3347.88,1334.71 3347.88,1322.49 3347.88,1322.49 3347.88,1310.27 3347.96,1310.27 \n",
       "  3347.96,1298.05 3348,1298.05 3348,1310.27 3348.68,1310.27 3348.68,1298.05 3348.86,1298.05 3348.86,1285.83 3349.02,1285.83 3349.02,1298.05 3349.22,1298.05 \n",
       "  3349.22,1310.27 3349.4,1310.27 3349.4,1322.49 3350.09,1322.49 3350.09,1310.27 3350.37,1310.27 3350.37,1298.05 3350.49,1298.05 3350.49,1310.27 3350.62,1310.27 \n",
       "  3350.62,1298.05 3351.03,1298.05 3351.03,1310.27 3351.1,1310.27 3351.1,1298.05 3351.56,1298.05 3351.56,1285.83 3351.69,1285.83 3351.69,1273.61 3352.02,1273.61 \n",
       "  3352.02,1285.83 3352.06,1285.83 3352.06,1273.61 3352.2,1273.61 3352.2,1261.39 3352.29,1261.39 3352.29,1273.61 3352.98,1273.61 3352.98,1261.39 3353.57,1261.39 \n",
       "  3353.57,1249.17 3353.79,1249.17 3353.79,1261.39 3354.06,1261.39 3354.06,1249.17 3354.13,1249.17 3354.13,1261.39 3354.51,1261.39 3354.51,1249.17 3355.34,1249.17 \n",
       "  3355.34,1236.95 3355.91,1236.95 3355.91,1224.74 3356.12,1224.74 3356.12,1236.95 3356.81,1236.95 3356.81,1224.74 3357.35,1224.74 3357.35,1212.52 3357.49,1212.52 \n",
       "  3357.49,1200.3 3357.9,1200.3 3357.9,1188.08 3358.06,1188.08 3358.06,1200.3 3358.45,1200.3 3358.45,1188.08 3358.69,1188.08 3358.69,1175.86 3358.72,1175.86 \n",
       "  3358.72,1188.08 3358.89,1188.08 3358.89,1175.86 3358.98,1175.86 3358.98,1188.08 3359.1,1188.08 3359.1,1175.86 3359.26,1175.86 3359.26,1163.64 3359.83,1163.64 \n",
       "  3359.83,1151.42 3359.94,1151.42 3359.94,1163.64 3360.1,1163.64 3360.1,1151.42 3360.16,1151.42 3360.16,1163.64 3360.27,1163.64 3360.27,1175.86 3361.54,1175.86 \n",
       "  3361.54,1188.08 3361.65,1188.08 3361.65,1175.86 3361.67,1175.86 3361.67,1188.08 3361.73,1188.08 3361.73,1175.86 3361.77,1175.86 3361.77,1163.64 3362.39,1163.64 \n",
       "  3362.39,1151.42 3362.56,1151.42 3362.56,1163.64 3362.87,1163.64 3362.87,1175.86 3363.07,1175.86 3363.07,1163.64 3363.28,1163.64 3363.28,1175.86 3364.23,1175.86 \n",
       "  3364.23,1188.08 3364.51,1188.08 3364.51,1200.3 3364.88,1200.3 3364.88,1188.08 3364.99,1188.08 3364.99,1200.3 3365.12,1200.3 3365.12,1188.08 3365.13,1188.08 \n",
       "  3365.13,1200.3 3365.29,1200.3 3365.29,1188.08 3365.31,1188.08 3365.31,1200.3 3365.51,1200.3 3365.51,1212.52 3365.61,1212.52 3365.61,1224.74 3366.15,1224.74 \n",
       "  3366.15,1212.52 3366.18,1212.52 3366.18,1224.74 3366.28,1224.74 3366.28,1236.95 3366.7,1236.95 3366.7,1249.17 3366.79,1249.17 3366.79,1236.95 3366.82,1236.95 \n",
       "  3366.82,1224.74 3367.23,1224.74 3367.23,1236.95 3367.31,1236.95 3367.31,1249.17 3367.62,1249.17 3367.62,1261.39 3367.81,1261.39 3367.81,1273.61 3369.42,1273.61 \n",
       "  3369.42,1261.39 3369.52,1261.39 3369.52,1273.61 3370.02,1273.61 3370.02,1285.83 3370.03,1285.83 3370.03,1298.05 3370.16,1298.05 3370.16,1310.27 3370.44,1310.27 \n",
       "  3370.44,1322.49 3370.87,1322.49 3370.87,1334.71 3371.27,1334.71 3371.27,1346.93 3371.7,1346.93 3371.7,1334.71 3371.83,1334.71 3371.83,1322.49 3372.13,1322.49 \n",
       "  3372.13,1310.27 3372.2,1310.27 3372.2,1298.05 3372.25,1298.05 3372.25,1310.27 3372.27,1310.27 3372.27,1322.49 3372.54,1322.49 3372.54,1310.27 3372.58,1310.27 \n",
       "  3372.58,1298.05 3373.34,1298.05 3373.34,1285.83 3373.46,1285.83 3373.46,1273.61 3373.69,1273.61 3373.69,1261.39 3374.18,1261.39 3374.18,1249.17 3374.4,1249.17 \n",
       "  3374.4,1236.95 3374.53,1236.95 3374.53,1224.74 3374.8,1224.74 3374.8,1236.95 3374.99,1236.95 3374.99,1224.74 3375.19,1224.74 3375.19,1212.52 3375.2,1212.52 \n",
       "  3375.2,1224.74 3375.25,1224.74 3375.25,1212.52 3375.67,1212.52 3375.67,1200.3 3376.4,1200.3 3376.4,1188.08 3377.13,1188.08 3377.13,1200.3 3377.44,1200.3 \n",
       "  3377.44,1212.52 3377.55,1212.52 3377.55,1224.74 3378.17,1224.74 3378.17,1212.52 3378.37,1212.52 3378.37,1200.3 3378.74,1200.3 3378.74,1188.08 3378.74,1188.08 \n",
       "  3378.74,1175.86 3378.94,1175.86 3378.94,1188.08 3378.96,1188.08 3378.96,1200.3 3379.26,1200.3 3379.26,1188.08 3379.44,1188.08 3379.44,1175.86 3379.97,1175.86 \n",
       "  3379.97,1163.64 3380.12,1163.64 3380.12,1151.42 3380.18,1151.42 3380.18,1139.2 3380.51,1139.2 3380.51,1126.98 3380.72,1126.98 3380.72,1139.2 3380.74,1139.2 \n",
       "  3380.74,1126.98 3380.84,1126.98 3380.84,1139.2 3381.24,1139.2 3381.24,1151.42 3381.43,1151.42 3381.43,1163.64 3381.53,1163.64 3381.53,1175.86 3381.65,1175.86 \n",
       "  3381.65,1188.08 3381.67,1188.08 3381.67,1175.86 3381.71,1175.86 3381.71,1163.64 3381.94,1163.64 3381.94,1151.42 3383.2,1151.42 3383.2,1163.64 3384.12,1163.64 \n",
       "  3384.12,1151.42 3384.22,1151.42 3384.22,1139.2 3384.33,1139.2 3384.33,1151.42 3384.73,1151.42 3384.73,1163.64 3384.99,1163.64 3384.99,1151.42 3385.57,1151.42 \n",
       "  3385.57,1139.2 3385.82,1139.2 3385.82,1151.42 3386.32,1151.42 3386.32,1139.2 3386.38,1139.2 3386.38,1126.98 3386.84,1126.98 3386.84,1139.2 3386.9,1139.2 \n",
       "  3386.9,1126.98 3387.14,1126.98 3387.14,1139.2 3387.46,1139.2 3387.46,1126.98 3387.61,1126.98 3387.61,1139.2 3388.14,1139.2 3388.14,1126.98 3388.19,1126.98 \n",
       "  3388.19,1139.2 3388.49,1139.2 3388.49,1126.98 3388.66,1126.98 3388.66,1139.2 3388.95,1139.2 3388.95,1126.98 3389.34,1126.98 3389.34,1139.2 3390.17,1139.2 \n",
       "  3390.17,1126.98 3391.43,1126.98 3391.43,1139.2 3392.32,1139.2 3392.32,1151.42 3392.39,1151.42 3392.39,1139.2 3392.42,1139.2 3392.42,1126.98 3392.8,1126.98 \n",
       "  3392.8,1139.2 3393.14,1139.2 3393.14,1151.42 3394.4,1151.42 3394.4,1163.64 3395.12,1163.64 3395.12,1151.42 3395.64,1151.42 3395.64,1163.64 3395.67,1163.64 \n",
       "  3395.67,1175.86 3396,1175.86 3396,1188.08 3396.7,1188.08 3396.7,1175.86 3397.27,1175.86 3397.27,1163.64 3397.29,1163.64 3397.29,1151.42 3397.69,1151.42 \n",
       "  3397.69,1139.2 3397.96,1139.2 3397.96,1126.98 3398.1,1126.98 3398.1,1139.2 3398.73,1139.2 3398.73,1126.98 3398.8,1126.98 3398.8,1114.76 3398.8,1114.76 \n",
       "  3398.8,1102.54 3399.23,1102.54 3399.23,1090.32 3399.25,1090.32 3399.25,1102.54 3399.25,1102.54 3399.25,1114.76 3399.3,1114.76 3399.3,1102.54 3399.91,1102.54 \n",
       "  3399.91,1090.32 3399.95,1090.32 3399.95,1102.54 3400.13,1102.54 3400.13,1114.76 3400.21,1114.76 3400.21,1126.98 3400.39,1126.98 3400.39,1139.2 3401.07,1139.2 \n",
       "  3401.07,1126.98 3401.24,1126.98 3401.24,1114.76 3401.46,1114.76 3401.46,1102.54 3401.62,1102.54 3401.62,1090.32 3401.7,1090.32 3401.7,1102.54 3401.73,1102.54 \n",
       "  3401.73,1090.32 3401.78,1090.32 3401.78,1078.1 3401.82,1078.1 3401.82,1090.32 3401.87,1090.32 3401.87,1102.54 3402.03,1102.54 3402.03,1114.76 3402.86,1114.76 \n",
       "  3402.86,1102.54 3402.95,1102.54 3402.95,1090.32 3402.98,1090.32 3402.98,1078.1 3403.47,1078.1 3403.47,1090.32 3403.61,1090.32 3403.61,1102.54 3404.06,1102.54 \n",
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      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lambda = 0.9\n",
    "mu = 1.0\n",
    "x0 = 100\n",
    "Tfinal = 5000.0\n",
    "\n",
    "T,X = simula_BD(lambda,mu,x0,Tfinal)\n",
    "\n",
    "plot(T,X,lt=:steppost, label=L\"X(t)\", legend=:topright)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
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   },
   "source": [
    "## Ejercicio\n",
    "\n",
    "Considere un sistema en el cual:\n",
    "\n",
    " * Llegan trabajos a tasa $\\lambda$ cada un tiempo exponencial.\n",
    " * Los trabajos se sirven \"todos juntos\", una vez que se juntan $K$ trabajos. Esto lleva un tiempo exponencial de  media $1/\\mu$. Durante este tiempo no se aceptan nuevos trabajos.\n",
    " \n",
    "1. Analice $X(t) = $cantidad de trabajos en el sistema como una cadena de Markov de tiempo continuo. Hallar la matriz $Q$ y la distribución de régimen. \n",
    "\n",
    "2. Simular la cadena anterior para $K=10$.\n",
    "\n",
    "3. Discutir cuál sería el \"retardo medio\" que ve un trabajo en este sistema."
   ]
  }
 ],
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