Figures.ipynb

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   "source": [
    "using Interact, Optim, Plots"
   ]
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  {
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     "data": {
      "text/plain": [
       "rosenbrock_hessian! (generic function with 1 method)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prob = Optim.UnconstrainedProblems.examples[\"Rosenbrock\"]\n",
    "f = prob.f\n",
    "g! = prob.g!\n",
    "h! = prob.h!"
   ]
  },
  {
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    "slideshow": {
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       "Interact.Slider{Int64}(59: \"input-20\" = 1 Int64 ,\"\",1,1:1000,\"horizontal\",true,\"d\",true)"
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     "output_type": "display_data"
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      ]
     },
     "execution_count": 32,
     "metadata": {
      "comm_id": "a15c2035-9cd5-49b5-b034-df3837481503",
      "reactive": true
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = [-1,1.]\n",
    "res = optimize(f, x, GradientDescent(), Optim.Options(store_trace=true, extended_trace=true))\n",
    "@manipulate for ix = slider(1:Optim.iterations(res), value = 1)\n",
    "    contour(-2.5:0.01:2, -1.5:0.01:2, (x,y)->sqrt(f([x, y])), fill=true, color=:deep, legend=false)\n",
    "    xtracemat = hcat(Optim.x_trace(res)...)\n",
    "    plot!(xtracemat[1, 1:ix], xtracemat[2, 1:ix], mc = :white, lab=\"\")\n",
    "    scatter!(xtracemat[1:1,ix], xtracemat[2:2,ix], mc=:black, msc=:red, lab=\"\")\n",
    "    scatter!([1.], [1.], mc=:red, msc=:red, lab=\"\")\n",
    "    scatter!(x[1:1], x[2:2], mc=:yellow, msc=:black, label=\"start\", legend=true)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
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      ]
     },
     "execution_count": 34,
     "metadata": {
      "comm_id": "fa3c53f2-04d0-4e8d-ad58-f65b84454896",
      "reactive": true
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x = [-1., -1.]\n",
    "res = optimize(f, x, GradientDescent(), Optim.Options(store_trace=true, extended_trace=true))\n",
    "res2 = optimize(f, x, Newton(), Optim.Options(store_trace=true, extended_trace=true))\n",
    "@manipulate for ix = slider(1:Optim.iterations(res2), value = 1)\n",
    "    p = contour(-2.5:0.01:2, -1.5:0.01:2, (x,y)->sqrt(f([x, y])), fill=true, color=:deep, legend=false)\n",
    "    xtracemat = hcat(Optim.x_trace(res)...)\n",
    "    plot!(xtracemat[1, 1:ix], xtracemat[2, 1:ix], mc = :white,  label=\"Gradient Descent\", legend=true)\n",
    "    scatter!(xtracemat[1:1,ix], xtracemat[2:2,ix], mc=:black, msc=:red, label=\"\")\n",
    "    \n",
    "    xtracemat2 = hcat(Optim.x_trace(res2)...)\n",
    "    plot!(xtracemat2[1, 1:ix], xtracemat2[2, 1:ix], c=:blue, label=\"Newton\")\n",
    "    scatter!(xtracemat2[1:1,ix], xtracemat2[2:2,ix], mc=:black, msc=:blue, label=\"\")\n",
    "    scatter!([1.], [1.], mc=:red, msc=:red, label=\"\")\n",
    "    scatter!(x[1:1], x[2:2], mc=:yellow, msc=:yellow, label=\"start\")\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
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     "output_type": "display_data"
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     "execution_count": 42,
     "metadata": {
      "comm_id": "1031b3fb-cc09-47d6-b0d9-b5df7dad7423",
      "reactive": true
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     "output_type": "execute_result"
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   ],
   "source": [
    "x = [-4, -3.]\n",
    "@manipulate for ix = slider(120:160, value = 120)\n",
    "    c = contour(-.85:0.01:-0.60, 0:0.01:1.2, (x,y)->sqrt(f([x, y])), fill=true, color=:deep, legend=false)\n",
    "    res = optimize(f, x, GradientDescent(), Optim.Options(store_trace=true, extended_trace=true))\n",
    "    xtracemat = hcat(Optim.x_trace(res)...)\n",
    "    \n",
    "    plot!(xtracemat[1, 120:ix], xtracemat[2, 120:ix], mc = :white, legend=true, label=\"Gradient Descent\")\n",
    "    scatter!(xtracemat[1:1,ix], xtracemat[2:2,ix], mc=:black, msc=:red, label = \"\")\n",
    "    scatter!(xtracemat[1:1,120], xtracemat[2:2,120], mc=:blue, msc=:blue, label=\"start\")\n",
    "    p = plot(1:ix, [Optim.trace(res)[i].metadata[\"Current step size\"] for i  = 1:ix])\n",
    "    plot(c, p, layout=(2,1))\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": false,
    "scrolled": true,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Gradient descent search direction: [745.0,-248.0]\n",
      "Newton's method search direction: [0.00200803,-1.23398]\n"
     ]
    }
   ],
   "source": [
    "## Linesearch\n",
    "# say we're at x = [-0.5,-0.5]\n",
    "# What is the gradient descent step?\n",
    "x_ls = [1.5,1.01]\n",
    "stor = similar(x_ls)\n",
    "h_stor = zeros(2,2)\n",
    "g!(stor, x_ls)\n",
    "h!(h_stor, x_ls)\n",
    "println(\"Gradient descent search direction: \", stor)\n",
    "println(\"Newton's method search direction: \", h_stor\\stor)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {
    "collapsed": false
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       "  46.5559,26.3829 46.5835,26.4531 46.6112,26.5234 46.6388,26.5936 46.6665,26.6638 46.6941,26.734 46.7217,26.8042 46.7494,26.8744 46.777,26.9446 46.8046,27.0148 \n",
       "  46.8323,27.085 46.8599,27.1552 46.8876,27.2253 46.9152,27.2955 46.9428,27.3657 46.9705,27.4358 46.9981,27.5059 47.0257,27.5761 47.0534,27.6462 47.081,27.7163 \n",
       "  47.1087,27.7864 47.1363,27.8565 47.1639,27.9266 47.1916,27.9967 47.2192,28.0668 47.2469,28.1369 47.2745,28.2069 47.3021,28.277 47.3298,28.347 47.3574,28.4171 \n",
       "  47.385,28.4871 47.4127,28.5572 47.4403,28.6272 47.468,28.6972 47.4956,28.7672 47.5232,28.8372 47.5509,28.9072 47.5785,28.9772 47.6061,29.0472 47.6338,29.1171 \n",
       "  47.6614,29.1871 47.6891,29.2571 47.7167,29.327 47.7443,29.397 47.772,29.4669 47.7996,29.5368 47.8272,29.6067 47.8549,29.6767 47.8825,29.7466 47.9102,29.8165 \n",
       "  47.9378,29.8864 47.9654,29.9562 47.9931,30.0261 48.0207,30.096 48.0483,30.1659 48.076,30.2357 48.1036,30.3056 48.1313,30.3754 48.1589,30.4452 48.1865,30.5151 \n",
       "  48.2142,30.5849 48.2418,30.6547 48.2694,30.7245 48.2971,30.7943 48.3247,30.8641 48.3524,30.9339 48.38,31.0037 48.4076,31.0734 48.4353,31.1432 48.4629,31.213 \n",
       "  48.4906,31.2827 48.5182,31.3525 48.5458,31.4222 48.5735,31.4919 48.6011,31.5616 48.6287,31.6313 48.6564,31.7011 48.684,31.7708 48.7117,31.8404 48.7393,31.9101 \n",
       "  48.7669,31.9798 48.7946,32.0495 48.8222,32.1191 48.8498,32.1888 48.8775,32.2584 48.9051,32.3281 48.9328,32.3977 48.9604,32.4673 48.988,32.537 49.0157,32.6066 \n",
       "  49.0433,32.6762 49.0709,32.7458 49.0986,32.8154 49.1262,32.8849 49.1539,32.9545 49.1815,33.0241 49.2091,33.0937 49.2368,33.1632 49.2644,33.2328 49.292,33.3023 \n",
       "  49.3197,33.3718 49.3473,33.4414 49.375,33.5109 49.4026,33.5804 49.4302,33.6499 49.4579,33.7194 49.4855,33.7889 49.5131,33.8584 49.5408,33.9278 49.5684,33.9973 \n",
       "  49.5961,34.0668 49.6237,34.1362 49.6513,34.2057 49.679,34.2751 49.7066,34.3445 49.7343,34.414 49.7619,34.4834 49.7895,34.5528 49.8172,34.6222 49.8448,34.6916 \n",
       "  49.8724,34.761 49.9001,34.8303 49.9277,34.8997 49.9554,34.9691 49.983,35.0384 50.0106,35.1078 50.0383,35.1771 50.0659,35.2465 50.0935,35.3158 50.1212,35.3851 \n",
       "  50.1488,35.4545 50.1765,35.5238 50.2041,35.5931 50.2317,35.6624 50.2594,35.7316 50.287,35.8009 50.3146,35.8702 50.3423,35.9395 50.3699,36.0087 50.3976,36.078 \n",
       "  50.4252,36.1472 50.4528,36.2165 50.4805,36.2857 50.5081,36.3549 50.5357,36.4241 50.5634,36.4933 50.591,36.5625 50.6187,36.6317 50.6463,36.7009 50.6739,36.7701 \n",
       "  50.7016,36.8393 50.7292,36.9084 50.7569,36.9776 50.7845,37.0467 50.8121,37.1159 50.8398,37.185 50.8674,37.2541 50.895,37.3233 50.9227,37.3924 50.9503,37.4615 \n",
       "  50.978,37.5306 51.0056,37.5997 51.0332,37.6688 51.0609,37.7378 51.0885,37.8069 51.1161,37.876 51.1438,37.945 51.1714,38.0141 51.1991,38.0831 51.2267,38.1522 \n",
       "  51.2543,38.2212 51.282,38.2902 51.3096,38.3592 51.3372,38.4282 51.3649,38.4972 51.3925,38.5662 51.4202,38.6352 51.4478,38.7042 51.4754,38.7731 51.5031,38.8421 \n",
       "  51.5307,38.9111 51.5583,38.98 51.586,39.049 51.6136,39.1179 51.6413,39.1868 51.6689,39.2557 51.6965,39.3246 51.7242,39.3936 51.7518,39.4625 51.7794,39.5313 \n",
       "  51.8071,39.6002 51.8347,39.6691 51.8624,39.738 51.89,39.8068 51.9176,39.8757 51.9453,39.9445 51.9729,40.0134 52.0006,40.0822 52.0282,40.151 52.0558,40.2199 \n",
       "  52.0835,40.2887 52.1111,40.3575 52.1387,40.4263 52.1664,40.4951 52.194,40.5638 52.2217,40.6326 52.2493,40.7014 52.2769,40.7701 52.3046,40.8389 52.3322,40.9076 \n",
       "  52.3598,40.9764 52.3875,41.0451 52.4151,41.1138 52.4428,41.1826 52.4704,41.2513 52.498,41.32 52.5257,41.3887 52.5533,41.4574 52.5809,41.526 52.6086,41.5947 \n",
       "  52.6362,41.6634 52.6639,41.732 52.6915,41.8007 52.7191,41.8693 52.7468,41.938 52.7744,42.0066 52.802,42.0752 52.8297,42.1438 52.8573,42.2125 52.885,42.2811 \n",
       "  52.9126,42.3497 52.9402,42.4182 52.9679,42.4868 52.9955,42.5554 53.0231,42.624 53.0508,42.6925 53.0784,42.7611 53.1061,42.8296 53.1337,42.8982 53.1613,42.9667 \n",
       "  53.189,43.0352 53.2166,43.1037 53.2443,43.1722 53.2719,43.2407 53.2995,43.3092 53.3272,43.3777 53.3548,43.4462 53.3824,43.5147 53.4101,43.5831 53.4377,43.6516 \n",
       "  53.4654,43.72 53.493,43.7885 53.5206,43.8569 53.5483,43.9253 53.5759,43.9938 53.6035,44.0622 53.6312,44.1306 53.6588,44.199 53.6865,44.2674 53.7141,44.3358 \n",
       "  53.7417,44.4041 53.7694,44.4725 53.797,44.5409 53.8246,44.6092 53.8523,44.6776 53.8799,44.7459 53.9076,44.8143 53.9352,44.8826 53.9628,44.9509 53.9905,45.0192 \n",
       "  54.0181,45.0875 54.0457,45.1558 54.0734,45.2241 54.101,45.2924 54.1287,45.3607 54.1563,45.429 54.1839,45.4972 54.2116,45.5655 54.2392,45.6337 54.2669,45.702 \n",
       "  54.2945,45.7702 54.3221,45.8384 54.3498,45.9067 54.3774,45.9749 54.405,46.0431 54.4327,46.1113 54.4603,46.1795 54.488,46.2476 54.5156,46.3158 54.5432,46.384 \n",
       "  54.5709,46.4522 54.5985,46.5203 54.6261,46.5885 54.6538,46.6566 54.6814,46.7247 54.7091,46.7929 54.7367,46.861 54.7643,46.9291 54.792,46.9972 54.8196,47.0653 \n",
       "  54.8472,47.1334 54.8749,47.2015 54.9025,47.2695 54.9302,47.3376 54.9578,47.4057 54.9854,47.4737 55.0131,47.5418 55.0407,47.6098 55.0683,47.6778 55.096,47.7459 \n",
       "  55.1236,47.8139 55.1513,47.8819 55.1789,47.9499 55.2065,48.0179 55.2342,48.0859 55.2618,48.1539 55.2894,48.2218 55.3171,48.2898 55.3447,48.3578 55.3724,48.4257 \n",
       "  55.4,48.4937 55.4276,48.5616 55.4553,48.6295 55.4829,48.6975 55.5106,48.7654 55.5382,48.8333 55.5658,48.9012 55.5935,48.9691 55.6211,49.037 55.6487,49.1049 \n",
       "  55.6764,49.1727 55.704,49.2406 55.7317,49.3085 55.7593,49.3763 55.7869,49.4441 55.8146,49.512 55.8422,49.5798 55.8698,49.6476 55.8975,49.7155 55.9251,49.7833 \n",
       "  55.9528,49.8511 55.9804,49.9189 56.008,49.9866 56.0357,50.0544 56.0633,50.1222 56.0909,50.19 56.1186,50.2577 56.1462,50.3255 56.1739,50.3932 56.2015,50.461 \n",
       "  56.2291,50.5287 56.2568,50.5964 56.2844,50.6641 56.312,50.7318 56.3397,50.7995 56.3673,50.8672 56.395,50.9349 56.4226,51.0026 56.4502,51.0703 56.4779,51.1379 \n",
       "  56.5055,51.2056 56.5331,51.2732 56.5608,51.3409 56.5884,51.4085 56.6161,51.4761 56.6437,51.5438 56.6713,51.6114 56.699,51.679 56.7266,51.7466 56.7543,51.8142 \n",
       "  56.7819,51.8818 56.8095,51.9493 56.8372,52.0169 56.8648,52.0845 56.8924,52.152 56.9201,52.2196 56.9477,52.2871 56.9754,52.3547 57.003,52.4222 57.0306,52.4897 \n",
       "  57.0583,52.5572 57.0859,52.6247 57.1135,52.6922 57.1412,52.7597 57.1688,52.8272 57.1965,52.8947 57.2241,52.9621 57.2517,53.0296 57.2794,53.0971 57.307,53.1645 \n",
       "  57.3346,53.2319 57.3623,53.2994 57.3899,53.3668 57.4176,53.4342 57.4452,53.5016 57.4728,53.569 57.5005,53.6364 57.5281,53.7038 57.5557,53.7712 57.5834,53.8386 \n",
       "  57.611,53.906 57.6387,53.9733 57.6663,54.0407 57.6939,54.108 57.7216,54.1754 57.7492,54.2427 57.7769,54.31 57.8045,54.3773 57.8321,54.4447 57.8598,54.512 \n",
       "  57.8874,54.5793 57.915,54.6465 57.9427,54.7138 57.9703,54.7811 57.998,54.8484 58.0256,54.9156 58.0532,54.9829 58.0809,55.0501 58.1085,55.1174 58.1361,55.1846 \n",
       "  58.1638,55.2518 58.1914,55.319 58.2191,55.3863 58.2467,55.4535 58.2743,55.5207 58.302,55.5878 58.3296,55.655 58.3572,55.7222 58.3849,55.7894 58.4125,55.8565 \n",
       "  58.4402,55.9237 58.4678,55.9908 58.4954,56.058 58.5231,56.1251 58.5507,56.1922 58.5783,56.2593 58.606,56.3264 58.6336,56.3935 58.6613,56.4606 58.6889,56.5277 \n",
       "  58.7165,56.5948 58.7442,56.6619 58.7718,56.7289 58.7994,56.796 58.8271,56.8631 58.8547,56.9301 58.8824,56.9971 58.91,57.0642 58.9376,57.1312 58.9653,57.1982 \n",
       "  58.9929,57.2652 59.0206,57.3322 59.0482,57.3992 59.0758,57.4662 59.1035,57.5332 59.1311,57.6001 59.1587,57.6671 59.1864,57.7341 59.214,57.801 59.2417,57.868 \n",
       "  59.2693,57.9349 59.2969,58.0018 59.3246,58.0687 59.3522,58.1357 59.3798,58.2026 59.4075,58.2695 59.4351,58.3364 59.4628,58.4032 59.4904,58.4701 59.518,58.537 \n",
       "  59.5457,58.6039 59.5733,58.6707 59.6009,58.7376 59.6286,58.8044 59.6562,58.8712 59.6839,58.9381 59.7115,59.0049 59.7391,59.0717 59.7668,59.1385 59.7944,59.2053 \n",
       "  59.822,59.2721 59.8497,59.3389 59.8773,59.4057 59.905,59.4724 59.9326,59.5392 59.9602,59.606 59.9879,59.6727 60.0155,59.7394 60.0431,59.8062 60.0708,59.8729 \n",
       "  60.0984,59.9396 60.1261,60.0063 60.1537,60.073 60.1813,60.1397 60.209,60.2064 60.2366,60.2731 60.2643,60.3398 60.2919,60.4065 60.3195,60.4731 60.3472,60.5398 \n",
       "  60.3748,60.6064 60.4024,60.6731 60.4301,60.7397 60.4577,60.8063 60.4854,60.8729 60.513,60.9396 60.5406,61.0062 60.5683,61.0728 60.5959,61.1393 60.6235,61.2059 \n",
       "  60.6512,61.2725 60.6788,61.3391 60.7065,61.4056 60.7341,61.4722 60.7617,61.5387 60.7894,61.6053 60.817,61.6718 60.8446,61.7383 60.8723,61.8048 60.8999,61.8714 \n",
       "  60.9276,61.9379 60.9552,62.0044 60.9828,62.0708 61.0105,62.1373 61.0381,62.2038 61.0657,62.2703 61.0934,62.3367 61.121,62.4032 61.1487,62.4696 61.1763,62.5361 \n",
       "  61.2039,62.6025 61.2316,62.6689 61.2592,62.7353 61.2869,62.8017 61.3145,62.8681 61.3421,62.9345 61.3698,63.0009 61.3974,63.0673 61.425,63.1337 61.4527,63.2001 \n",
       "  61.4803,63.2664 61.508,63.3328 61.5356,63.3991 61.5632,63.4654 61.5909,63.5318 61.6185,63.5981 61.6461,63.6644 61.6738,63.7307 61.7014,63.797 61.7291,63.8633 \n",
       "  61.7567,63.9296 61.7843,63.9959 61.812,64.0622 61.8396,64.1284 61.8672,64.1947 61.8949,64.2609 61.9225,64.3272 61.9502,64.3934 61.9778,64.4596 62.0054,64.5259 \n",
       "  62.0331,64.5921 62.0607,64.6583 62.0883,64.7245 62.116,64.7907 62.1436,64.8569 62.1713,64.923 62.1989,64.9892 62.2265,65.0554 62.2542,65.1215 62.2818,65.1877 \n",
       "  62.3094,65.2538 62.3371,65.32 62.3647,65.3861 62.3924,65.4522 62.42,65.5183 62.4476,65.5844 62.4753,65.6505 62.5029,65.7166 62.5306,65.7827 62.5582,65.8488 \n",
       "  62.5858,65.9149 62.6135,65.9809 62.6411,66.047 62.6687,66.113 62.6964,66.1791 62.724,66.2451 62.7517,66.3111 62.7793,66.3772 62.8069,66.4432 62.8346,66.5092 \n",
       "  62.8622,66.5752 62.8898,66.6412 62.9175,66.7071 62.9451,66.7731 62.9728,66.8391 63.0004,66.9051 63.028,66.971 63.0557,67.037 63.0833,67.1029 63.1109,67.1688 \n",
       "  63.1386,67.2348 63.1662,67.3007 63.1939,67.3666 63.2215,67.4325 63.2491,67.4984 63.2768,67.5643 63.3044,67.6302 63.332,67.696 63.3597,67.7619 63.3873,67.8278 \n",
       "  63.415,67.8936 63.4426,67.9595 63.4702,68.0253 63.4979,68.0911 63.5255,68.157 63.5531,68.2228 63.5808,68.2886 63.6084,68.3544 63.6361,68.4202 63.6637,68.486 \n",
       "  63.6913,68.5518 63.719,68.6175 63.7466,68.6833 63.7743,68.7491 63.8019,68.8148 63.8295,68.8806 63.8572,68.9463 63.8848,69.012 63.9124,69.0778 63.9401,69.1435 \n",
       "  63.9677,69.2092 63.9954,69.2749 64.023,69.3406 64.0506,69.4063 64.0783,69.472 64.1059,69.5376 64.1335,69.6033 64.1612,69.669 64.1888,69.7346 64.2165,69.8003 \n",
       "  64.2441,69.8659 64.2717,69.9315 64.2994,69.9972 64.327,70.0628 64.3546,70.1284 64.3823,70.194 64.4099,70.2596 64.4376,70.3252 64.4652,70.3907 64.4928,70.4563 \n",
       "  64.5205,70.5219 64.5481,70.5874 64.5757,70.653 64.6034,70.7185 64.631,70.7841 64.6587,70.8496 64.6863,70.9151 64.7139,70.9806 64.7416,71.0461 64.7692,71.1116 \n",
       "  64.7969,71.1771 64.8245,71.2426 64.8521,71.3081 64.8798,71.3736 64.9074,71.439 64.935,71.5045 64.9627,71.5699 64.9903,71.6354 65.018,71.7008 65.0456,71.7663 \n",
       "  65.0732,71.8317 65.1009,71.8971 65.1285,71.9625 65.1561,72.0279 65.1838,72.0933 65.2114,72.1587 65.2391,72.2241 65.2667,72.2894 65.2943,72.3548 65.322,72.4201 \n",
       "  65.3496,72.4855 65.3772,72.5508 65.4049,72.6162 65.4325,72.6815 65.4602,72.7468 65.4878,72.8121 65.5154,72.8774 65.5431,72.9427 65.5707,73.008 65.5983,73.0733 \n",
       "  65.626,73.1386 65.6536,73.2039 65.6813,73.2691 65.7089,73.3344 65.7365,73.3996 65.7642,73.4649 65.7918,73.5301 65.8194,73.5953 65.8471,73.6606 65.8747,73.7258 \n",
       "  65.9024,73.791 65.93,73.8562 65.9576,73.9214 65.9853,73.9865 66.0129,74.0517 66.0406,74.1169 66.0682,74.182 66.0958,74.2472 66.1235,74.3123 66.1511,74.3775 \n",
       "  66.1787,74.4426 66.2064,74.5077 66.234,74.5729 66.2617,74.638 66.2893,74.7031 66.3169,74.7682 66.3446,74.8333 66.3722,74.8984 66.3998,74.9634 66.4275,75.0285 \n",
       "  66.4551,75.0936 66.4828,75.1586 66.5104,75.2237 66.538,75.2887 66.5657,75.3537 66.5933,75.4188 66.6209,75.4838 66.6486,75.5488 66.6762,75.6138 66.7039,75.6788 \n",
       "  66.7315,75.7438 66.7591,75.8087 66.7868,75.8737 66.8144,75.9387 66.842,76.0036 66.8697,76.0686 66.8973,76.1335 66.925,76.1985 66.9526,76.2634 66.9802,76.3283 \n",
       "  67.0079,76.3933 67.0355,76.4582 67.0631,76.5231 67.0908,76.588 67.1184,76.6529 67.1461,76.7177 67.1737,76.7826 67.2013,76.8475 67.229,76.9123 67.2566,76.9772 \n",
       "  67.2843,77.042 67.3119,77.1069 67.3395,77.1717 67.3672,77.2365 67.3948,77.3013 67.4224,77.3661 67.4501,77.4309 67.4777,77.4957 67.5054,77.5605 67.533,77.6253 \n",
       "  67.5606,77.6901 67.5883,77.7548 67.6159,77.8196 67.6435,77.8843 67.6712,77.9491 67.6988,78.0138 67.7265,78.0786 67.7541,78.1433 67.7817,78.208 67.8094,78.2727 \n",
       "  67.837,78.3374 67.8646,78.4021 67.8923,78.4668 67.9199,78.5315 67.9476,78.5961 67.9752,78.6608 68.0028,78.7255 68.0305,78.7901 68.0581,78.8547 68.0857,78.9194 \n",
       "  68.1134,78.984 68.141,79.0486 68.1687,79.1132 68.1963,79.1778 68.2239,79.2424 68.2516,79.307 68.2792,79.3716 68.3069,79.4362 68.3345,79.5008 68.3621,79.5653 \n",
       "  68.3898,79.6299 68.4174,79.6944 68.445,79.759 68.4727,79.8235 68.5003,79.888 68.528,79.9526 68.5556,80.0171 68.5832,80.0816 68.6109,80.1461 68.6385,80.2106 \n",
       "  68.6661,80.2751 68.6938,80.3395 68.7214,80.404 68.7491,80.4685 68.7767,80.5329 68.8043,80.5974 68.832,80.6618 68.8596,80.7262 68.8872,80.7907 68.9149,80.8551 \n",
       "  68.9425,80.9195 68.9702,80.9839 68.9978,81.0483 69.0254,81.1127 69.0531,81.1771 69.0807,81.2414 69.1083,81.3058 69.136,81.3702 69.1636,81.4345 69.1913,81.4989 \n",
       "  69.2189,81.5632 69.2465,81.6275 69.2742,81.6919 69.3018,81.7562 69.3294,81.8205 69.3571,81.8848 69.3847,81.9491 69.4124,82.0134 69.44,82.0777 69.4676,82.1419 \n",
       "  69.4953,82.2062 69.5229,82.2705 69.5506,82.3347 69.5782,82.399 69.6058,82.4632 69.6335,82.5274 69.6611,82.5917 69.6887,82.6559 69.7164,82.7201 69.744,82.7843 \n",
       "  69.7717,82.8485 69.7993,82.9127 69.8269,82.9769 69.8546,83.041 69.8822,83.1052 69.9098,83.1694 69.9375,83.2335 69.9651,83.2977 69.9928,83.3618 70.0204,83.4259 \n",
       "  70.048,83.49 70.0757,83.5542 70.1033,83.6183 70.1309,83.6824 70.1586,83.7465 70.1862,83.8106 70.2139,83.8746 70.2415,83.9387 70.2691,84.0028 70.2968,84.0668 \n",
       "  70.3244,84.1309 70.352,84.1949 70.3797,84.259 70.4073,84.323 70.435,84.387 70.4626,84.451 70.4902,84.515 70.5179,84.579 70.5455,84.643 70.5731,84.707 \n",
       "  70.6008,84.771 70.6284,84.835 70.6561,84.8989 70.6837,84.9629 70.7113,85.0268 70.739,85.0908 70.7666,85.1547 70.7943,85.2186 70.8219,85.2826 70.8495,85.3465 \n",
       "  70.8772,85.4104 70.9048,85.4743 70.9324,85.5382 70.9601,85.6021 70.9877,85.6659 71.0154,85.7298 71.043,85.7937 71.0706,85.8575 71.0983,85.9214 71.1259,85.9852 \n",
       "  71.1535,86.0491 71.1812,86.1129 71.2088,86.1767 71.2365,86.2405 71.2641,86.3043 71.2917,86.3681 71.3194,86.4319 71.347,86.4957 71.3746,86.5595 71.4023,86.6232 \n",
       "  71.4299,86.687 71.4576,86.7508 71.4852,86.8145 71.5128,86.8783 71.5405,86.942 71.5681,87.0057 71.5957,87.0694 71.6234,87.1331 71.651,87.1969 71.6787,87.2606 \n",
       "  71.7063,87.3242 71.7339,87.3879 71.7616,87.4516 71.7892,87.5153 71.8169,87.5789 71.8445,87.6426 71.8721,87.7062 71.8998,87.7699 71.9274,87.8335 71.955,87.8971 \n",
       "  71.9827,87.9607 72.0103,88.0244 72.038,88.088 72.0656,88.1516 72.0932,88.2152 72.1209,88.2787 72.1485,88.3423 72.1761,88.4059 72.2038,88.4694 72.2314,88.533 \n",
       "  72.2591,88.5965 72.2867,88.6601 72.3143,88.7236 72.342,88.7871 72.3696,88.8506 72.3972,88.9142 72.4249,88.9777 72.4525,89.0412 72.4802,89.1046 72.5078,89.1681 \n",
       "  72.5354,89.2316 72.5631,89.2951 72.5907,89.3585 72.6183,89.422 72.646,89.4854 72.6736,89.5489 72.7013,89.6123 72.7289,89.6757 72.7565,89.7391 72.7842,89.8025 \n",
       "  72.8118,89.8659 72.8394,89.9293 72.8671,89.9927 72.8947,90.0561 72.9224,90.1195 72.95,90.1828 72.9776,90.2462 73.0053,90.3096 73.0329,90.3729 73.0606,90.4362 \n",
       "  73.0882,90.4996 73.1158,90.5629 73.1435,90.6262 73.1711,90.6895 73.1987,90.7528 73.2264,90.8161 73.254,90.8794 73.2817,90.9427 73.3093,91.0059 73.3369,91.0692 \n",
       "  73.3646,91.1325 73.3922,91.1957 73.4198,91.259 73.4475,91.3222 73.4751,91.3854 73.5028,91.4486 73.5304,91.5119 73.558,91.5751 73.5857,91.6383 73.6133,91.7015 \n",
       "  73.6409,91.7646 73.6686,91.8278 73.6962,91.891 73.7239,91.9542 73.7515,92.0173 73.7791,92.0805 73.8068,92.1436 73.8344,92.2067 73.862,92.2699 73.8897,92.333 \n",
       "  73.9173,92.3961 73.945,92.4592 73.9726,92.5223 74.0002,92.5854 74.0279,92.6485 74.0555,92.7116 74.0831,92.7746 74.1108,92.8377 74.1384,92.9008 74.1661,92.9638 \n",
       "  74.1937,93.0268 74.2213,93.0899 74.249,93.1529 74.2766,93.2159 74.3043,93.2789 74.3319,93.3419 74.3595,93.4049 74.3872,93.4679 74.4148,93.5309 74.4424,93.5939 \n",
       "  74.4701,93.6569 74.4977,93.7198 74.5254,93.7828 74.553,93.8457 74.5806,93.9087 74.6083,93.9716 74.6359,94.0345 74.6635,94.0974 74.6912,94.1604 74.7188,94.2233 \n",
       "  74.7465,94.2862 74.7741,94.349 74.8017,94.4119 74.8294,94.4748 74.857,94.5377 74.8846,94.6005 74.9123,94.6634 74.9399,94.7262 74.9676,94.7891 74.9952,94.8519 \n",
       "  75.0228,94.9147 75.0505,94.9775 75.0781,95.0404 75.1057,95.1032 75.1334,95.166 75.161,95.2287 75.1887,95.2915 75.2163,95.3543 75.2439,95.4171 75.2716,95.4798 \n",
       "  75.2992,95.5426 75.3269,95.6053 75.3545,95.6681 75.3821,95.7308 75.4098,95.7935 75.4374,95.8562 75.465,95.919 75.4927,95.9817 75.5203,96.0443 75.548,96.107 \n",
       "  75.5756,96.1697 75.6032,96.2324 75.6309,96.2951 75.6585,96.3577 75.6861,96.4204 75.7138,96.483 75.7414,96.5456 75.7691,96.6083 75.7967,96.6709 75.8243,96.7335 \n",
       "  75.852,96.7961 75.8796,96.8587 75.9072,96.9213 75.9349,96.9839 75.9625,97.0465 75.9902,97.1091 76.0178,97.1716 76.0454,97.2342 76.0731,97.2967 76.1007,97.3593 \n",
       "  76.1283,97.4218 76.156,97.4843 76.1836,97.5469 76.2113,97.6094 76.2389,97.6719 76.2665,97.7344 76.2942,97.7969 76.3218,97.8594 76.3494,97.9218 76.3771,97.9843 \n",
       "  76.4047,98.0468 76.4324,98.1092 76.46,98.1717 76.4876,98.2341 76.5153,98.2966 76.5429,98.359 76.5706,98.4214 76.5982,98.4838 76.6258,98.5462 76.6535,98.6086 \n",
       "  76.6811,98.671 76.7087,98.7334 76.7364,98.7958 76.764,98.8582 76.7917,98.9205 76.8193,98.9829 76.8469,99.0452 76.8746,99.1076 76.9022,99.1699 76.9298,99.2322 \n",
       "  76.9575,99.2946 76.9851,99.3569 77.0128,99.4192 77.0404,99.4815 77.068,99.5438 77.0957,99.606 77.1233,99.6683 77.1509,99.7306 77.1786,99.7929 77.2062,99.8551 \n",
       "  77.2339,99.9174 77.2615,99.9796 77.2891,100.042 77.3168,100.104 77.3444,100.166 77.372,100.228 77.3997,100.291 77.4273,100.353 77.455,100.415 77.4826,100.477 \n",
       "  77.5102,100.539 77.5379,100.602 77.5655,100.664 77.5931,100.726 77.6208,100.788 77.6484,100.85 77.6761,100.912 77.7037,100.974 77.7313,101.037 77.759,101.099 \n",
       "  77.7866,101.161 77.8143,101.223 77.8419,101.285 77.8695,101.347 77.8972,101.409 77.9248,101.471 77.9524,101.533 77.9801,101.595 78.0077,101.657 78.0354,101.719 \n",
       "  78.063,101.781 78.0906,101.843 78.1183,101.905 78.1459,101.967 78.1735,102.029 78.2012,102.091 78.2288,102.153 78.2565,102.215 78.2841,102.277 78.3117,102.339 \n",
       "  78.3394,102.401 78.367,102.463 78.3946,102.525 78.4223,102.587 78.4499,102.649 78.4776,102.711 78.5052,102.773 78.5328,102.835 78.5605,102.897 78.5881,102.959 \n",
       "  78.6157,103.021 78.6434,103.082 78.671,103.144 78.6987,103.206 78.7263,103.268 78.7539,103.33 78.7816,103.392 78.8092,103.454 78.8369,103.515 78.8645,103.577 \n",
       "  78.8921,103.639 78.9198,103.701 78.9474,103.763 78.975,103.824 79.0027,103.886 79.0303,103.948 79.058,104.01 79.0856,104.072 79.1132,104.133 79.1409,104.195 \n",
       "  79.1685,104.257 79.1961,104.319 79.2238,104.38 79.2514,104.442 79.2791,104.504 79.3067,104.565 79.3343,104.627 79.362,104.689 79.3896,104.75 79.4172,104.812 \n",
       "  79.4449,104.874 79.4725,104.935 79.5002,104.997 79.5278,105.059 79.5554,105.12 79.5831,105.182 79.6107,105.244 79.6383,105.305 79.666,105.367 79.6936,105.429 \n",
       "  79.7213,105.49 79.7489,105.552 79.7765,105.613 79.8042,105.675 79.8318,105.736 79.8594,105.798 79.8871,105.86 79.9147,105.921 79.9424,105.983 79.97,106.044 \n",
       "  79.9976,106.106 80.0253,106.167 80.0529,106.229 80.0806,106.29 80.1082,106.352 80.1358,106.413 80.1635,106.475 80.1911,106.536 80.2187,106.598 80.2464,106.659 \n",
       "  80.274,106.721 80.3017,106.782 80.3293,106.843 80.3569,106.905 80.3846,106.966 80.4122,107.028 80.4398,107.089 80.4675,107.151 80.4951,107.212 80.5228,107.273 \n",
       "  80.5504,107.335 80.578,107.396 80.6057,107.457 80.6333,107.519 80.6609,107.58 80.6886,107.642 80.7162,107.703 80.7439,107.764 80.7715,107.826 80.7991,107.887 \n",
       "  80.8268,107.948 80.8544,108.009 80.882,108.071 80.9097,108.132 80.9373,108.193 80.965,108.255 80.9926,108.316 81.0202,108.377 81.0479,108.438 81.0755,108.5 \n",
       "  81.1031,108.561 81.1308,108.622 81.1584,108.683 81.1861,108.745 81.2137,108.806 81.2413,108.867 81.269,108.928 81.2966,108.989 81.3243,109.051 81.3519,109.112 \n",
       "  81.3795,109.173 81.4072,109.234 81.4348,109.295 81.4624,109.356 81.4901,109.417 81.5177,109.479 81.5454,109.54 81.573,109.601 81.6006,109.662 81.6283,109.723 \n",
       "  81.6559,109.784 81.6835,109.845 81.7112,109.906 81.7388,109.967 81.7665,110.028 81.7941,110.089 81.8217,110.151 81.8494,110.212 81.877,110.273 81.9046,110.334 \n",
       "  81.9323,110.395 81.9599,110.456 81.9876,110.517 82.0152,110.578 82.0428,110.639 82.0705,110.7 82.0981,110.761 82.1257,110.822 82.1534,110.883 82.181,110.944 \n",
       "  82.2087,111.004 82.2363,111.065 82.2639,111.126 82.2916,111.187 82.3192,111.248 82.3469,111.309 82.3745,111.37 82.4021,111.431 82.4298,111.492 82.4574,111.553 \n",
       "  82.485,111.614 82.5127,111.674 82.5403,111.735 82.568,111.796 82.5956,111.857 82.6232,111.918 82.6509,111.979 82.6785,112.04 82.7061,112.1 82.7338,112.161 \n",
       "  82.7614,112.222 82.7891,112.283 82.8167,112.344 82.8443,112.404 82.872,112.465 82.8996,112.526 82.9272,112.587 82.9549,112.647 82.9825,112.708 83.0102,112.769 \n",
       "  83.0378,112.83 83.0654,112.89 83.0931,112.951 83.1207,113.012 83.1483,113.072 83.176,113.133 83.2036,113.194 83.2313,113.255 83.2589,113.315 83.2865,113.376 \n",
       "  83.3142,113.437 83.3418,113.497 83.3694,113.558 83.3971,113.619 83.4247,113.679 83.4524,113.74 83.48,113.8 83.5076,113.861 83.5353,113.922 83.5629,113.982 \n",
       "  83.5906,114.043 83.6182,114.103 83.6458,114.164 83.6735,114.225 83.7011,114.285 83.7287,114.346 83.7564,114.406 83.784,114.467 83.8117,114.527 83.8393,114.588 \n",
       "  83.8669,114.648 83.8946,114.709 83.9222,114.769 83.9498,114.83 83.9775,114.89 84.0051,114.951 84.0328,115.011 84.0604,115.072 84.088,115.132 84.1157,115.193 \n",
       "  84.1433,115.253 84.1709,115.313 84.1986,115.374 84.2262,115.434 84.2539,115.495 84.2815,115.555 84.3091,115.616 84.3368,115.676 84.3644,115.736 84.392,115.797 \n",
       "  84.4197,115.857 84.4473,115.917 84.475,115.978 84.5026,116.038 84.5302,116.099 84.5579,116.159 84.5855,116.219 84.6131,116.28 84.6408,116.34 84.6684,116.4 \n",
       "  84.6961,116.46 84.7237,116.521 84.7513,116.581 84.779,116.641 84.8066,116.702 84.8343,116.762 84.8619,116.822 84.8895,116.882 84.9172,116.943 84.9448,117.003 \n",
       "  84.9724,117.063 85.0001,117.123 85.0277,117.183 85.0554,117.244 85.083,117.304 85.1106,117.364 85.1383,117.424 85.1659,117.484 85.1935,117.545 85.2212,117.605 \n",
       "  85.2488,117.665 85.2765,117.725 85.3041,117.785 85.3317,117.845 85.3594,117.905 85.387,117.966 85.4146,118.026 85.4423,118.086 85.4699,118.146 85.4976,118.206 \n",
       "  85.5252,118.266 85.5528,118.326 85.5805,118.386 85.6081,118.446 85.6357,118.506 85.6634,118.566 85.691,118.626 85.7187,118.686 85.7463,118.747 85.7739,118.807 \n",
       "  85.8016,118.867 85.8292,118.927 85.8569,118.987 85.8845,119.047 85.9121,119.107 85.9398,119.166 85.9674,119.226 85.995,119.286 86.0227,119.346 86.0503,119.406 \n",
       "  86.078,119.466 86.1056,119.526 86.1332,119.586 86.1609,119.646 86.1885,119.706 86.2161,119.766 86.2438,119.826 86.2714,119.886 86.2991,119.946 86.3267,120.005 \n",
       "  86.3543,120.065 86.382,120.125 86.4096,120.185 86.4372,120.245 86.4649,120.305 86.4925,120.364 86.5202,120.424 86.5478,120.484 86.5754,120.544 86.6031,120.604 \n",
       "  86.6307,120.664 86.6583,120.723 86.686,120.783 86.7136,120.843 86.7413,120.903 86.7689,120.962 86.7965,121.022 86.8242,121.082 86.8518,121.142 86.8794,121.201 \n",
       "  86.9071,121.261 86.9347,121.321 86.9624,121.381 86.99,121.44 87.0176,121.5 87.0453,121.56 87.0729,121.619 87.1006,121.679 87.1282,121.739 87.1558,121.798 \n",
       "  87.1835,121.858 87.2111,121.918 87.2387,121.977 87.2664,122.037 87.294,122.096 87.3217,122.156 87.3493,122.216 87.3769,122.275 87.4046,122.335 87.4322,122.394 \n",
       "  87.4598,122.454 87.4875,122.514 87.5151,122.573 87.5428,122.633 87.5704,122.692 87.598,122.752 87.6257,122.811 87.6533,122.871 87.6809,122.93 87.7086,122.99 \n",
       "  87.7362,123.049 87.7639,123.109 87.7915,123.168 87.8191,123.228 87.8468,123.287 87.8744,123.347 87.902,123.406 87.9297,123.466 87.9573,123.525 87.985,123.585 \n",
       "  88.0126,123.644 88.0402,123.704 88.0679,123.763 88.0955,123.822 88.1231,123.882 88.1508,123.941 88.1784,124.001 88.2061,124.06 88.2337,124.119 88.2613,124.179 \n",
       "  88.289,124.238 88.3166,124.297 88.3443,124.357 88.3719,124.416 88.3995,124.475 88.4272,124.535 88.4548,124.594 88.4824,124.653 88.5101,124.713 88.5377,124.772 \n",
       "  88.5654,124.831 88.593,124.891 88.6206,124.95 88.6483,125.009 88.6759,125.068 88.7035,125.128 88.7312,125.187 88.7588,125.246 88.7865,125.305 88.8141,125.365 \n",
       "  88.8417,125.424 88.8694,125.483 88.897,125.542 88.9246,125.601 88.9523,125.661 88.9799,125.72 89.0076,125.779 89.0352,125.838 89.0628,125.897 89.0905,125.956 \n",
       "  89.1181,126.016 89.1457,126.075 89.1734,126.134 89.201,126.193 89.2287,126.252 89.2563,126.311 89.2839,126.37 89.3116,126.429 89.3392,126.489 89.3669,126.548 \n",
       "  89.3945,126.607 89.4221,126.666 89.4498,126.725 89.4774,126.784 89.505,126.843 89.5327,126.902 89.5603,126.961 89.588,127.02 89.6156,127.079 89.6432,127.138 \n",
       "  89.6709,127.197 89.6985,127.256 89.7261,127.315 89.7538,127.374 89.7814,127.433 89.8091,127.492 89.8367,127.551 89.8643,127.61 89.892,127.669 89.9196,127.728 \n",
       "  89.9472,127.787 89.9749,127.846 90.0025,127.905 90.0302,127.963 90.0578,128.022 90.0854,128.081 90.1131,128.14 90.1407,128.199 90.1683,128.258 90.196,128.317 \n",
       "  90.2236,128.376 90.2513,128.434 90.2789,128.493 90.3065,128.552 90.3342,128.611 90.3618,128.67 90.3894,128.729 90.4171,128.787 90.4447,128.846 90.4724,128.905 \n",
       "  90.5,128.964 90.5276,129.023 90.5553,129.081 90.5829,129.14 90.6106,129.199 90.6382,129.258 90.6658,129.316 90.6935,129.375 90.7211,129.434 90.7487,129.493 \n",
       "  90.7764,129.551 90.804,129.61 90.8317,129.669 90.8593,129.727 90.8869,129.786 90.9146,129.845 90.9422,129.903 90.9698,129.962 90.9975,130.021 91.0251,130.079 \n",
       "  91.0528,130.138 91.0804,130.197 91.108,130.255 91.1357,130.314 91.1633,130.372 91.1909,130.431 91.2186,130.49 91.2462,130.548 91.2739,130.607 91.3015,130.665 \n",
       "  91.3291,130.724 91.3568,130.783 91.3844,130.841 91.412,130.9 91.4397,130.958 91.4673,131.017 91.495,131.075 91.5226,131.134 91.5502,131.192 91.5779,131.251 \n",
       "  91.6055,131.309 91.6331,131.368 91.6608,131.426 91.6884,131.485 91.7161,131.543 91.7437,131.602 91.7713,131.66 91.799,131.719 91.8266,131.777 91.8543,131.835 \n",
       "  91.8819,131.894 91.9095,131.952 91.9372,132.011 91.9648,132.069 91.9924,132.127 92.0201,132.186 92.0477,132.244 92.0754,132.303 92.103,132.361 92.1306,132.419 \n",
       "  92.1583,132.478 92.1859,132.536 92.2135,132.594 92.2412,132.653 92.2688,132.711 92.2965,132.769 92.3241,132.828 92.3517,132.886 92.3794,132.944 92.407,133.003 \n",
       "  92.4346,133.061 92.4623,133.119 92.4899,133.177 92.5176,133.236 92.5452,133.294 92.5728,133.352 92.6005,133.41 92.6281,133.469 92.6557,133.527 92.6834,133.585 \n",
       "  92.711,133.643 92.7387,133.701 92.7663,133.76 92.7939,133.818 92.8216,133.876 92.8492,133.934 92.8769,133.992 92.9045,134.051 92.9321,134.109 92.9598,134.167 \n",
       "  92.9874,134.225 93.015,134.283 93.0427,134.341 93.0703,134.399 93.098,134.457 93.1256,134.516 93.1532,134.574 93.1809,134.632 93.2085,134.69 93.2361,134.748 \n",
       "  93.2638,134.806 93.2914,134.864 93.3191,134.922 93.3467,134.98 93.3743,135.038 93.402,135.096 93.4296,135.154 93.4572,135.212 93.4849,135.27 93.5125,135.328 \n",
       "  93.5402,135.386 93.5678,135.444 93.5954,135.502 93.6231,135.56 93.6507,135.618 93.6783,135.676 93.706,135.734 93.7336,135.792 93.7613,135.85 93.7889,135.908 \n",
       "  93.8165,135.966 93.8442,136.024 93.8718,136.082 93.8994,136.139 93.9271,136.197 93.9547,136.255 93.9824,136.313 94.01,136.371 94.0376,136.429 94.0653,136.487 \n",
       "  94.0929,136.545 94.1206,136.602 94.1482,136.66 94.1758,136.718 94.2035,136.776 94.2311,136.834 94.2587,136.891 94.2864,136.949 94.314,137.007 94.3417,137.065 \n",
       "  94.3693,137.123 94.3969,137.18 94.4246,137.238 94.4522,137.296 94.4798,137.354 94.5075,137.411 94.5351,137.469 94.5628,137.527 94.5904,137.585 94.618,137.642 \n",
       "  94.6457,137.7 94.6733,137.758 94.7009,137.815 94.7286,137.873 94.7562,137.931 94.7839,137.988 94.8115,138.046 94.8391,138.104 94.8668,138.161 94.8944,138.219 \n",
       "  94.922,138.277 94.9497,138.334 94.9773,138.392 95.005,138.449 95.0326,138.507 95.0602,138.565 95.0879,138.622 95.1155,138.68 95.1431,138.737 95.1708,138.795 \n",
       "  95.1984,138.853 95.2261,138.91 95.2537,138.968 95.2813,139.025 95.309,139.083 95.3366,139.14 95.3643,139.198 95.3919,139.255 95.4195,139.313 95.4472,139.37 \n",
       "  95.4748,139.428 95.5024,139.485 95.5301,139.543 95.5577,139.6 95.5854,139.658 95.613,139.715 95.6406,139.773 95.6683,139.83 95.6959,139.887 95.7235,139.945 \n",
       "  95.7512,140.002 95.7788,140.06 95.8065,140.117 95.8341,140.174 95.8617,140.232 95.8894,140.289 95.917,140.347 95.9446,140.404 95.9723,140.461 95.9999,140.519 \n",
       "  96.0276,140.576 96.0552,140.633 96.0828,140.691 96.1105,140.748 96.1381,140.805 96.1657,140.863 96.1934,140.92 96.221,140.977 96.2487,141.034 96.2763,141.092 \n",
       "  96.3039,141.149 96.3316,141.206 96.3592,141.264 96.3869,141.321 96.4145,141.378 96.4421,141.435 96.4698,141.492 96.4974,141.55 96.525,141.607 96.5527,141.664 \n",
       "  96.5803,141.721 96.608,141.779 96.6356,141.836 96.6632,141.893 96.6909,141.95 96.7185,142.007 96.7461,142.064 96.7738,142.122 96.8014,142.179 96.8291,142.236 \n",
       "  96.8567,142.293 96.8843,142.35 96.912,142.407 96.9396,142.464 96.9672,142.521 96.9949,142.578 97.0225,142.636 97.0502,142.693 97.0778,142.75 97.1054,142.807 \n",
       "  97.1331,142.864 97.1607,142.921 97.1883,142.978 97.216,143.035 97.2436,143.092 97.2713,143.149 97.2989,143.206 97.3265,143.263 97.3542,143.32 97.3818,143.377 \n",
       "  97.4094,143.434 97.4371,143.491 97.4647,143.548 97.4924,143.605 97.52,143.662 97.5476,143.719 97.5753,143.776 97.6029,143.833 97.6306,143.89 97.6582,143.946 \n",
       "  97.6858,144.003 97.7135,144.06 97.7411,144.117 97.7687,144.174 97.7964,144.231 97.824,144.288 97.8517,144.345 97.8793,144.402 97.9069,144.458 97.9346,144.515 \n",
       "  97.9622,144.572 97.9898,144.629 98.0175,144.686 98.0451,144.743 98.0728,144.799 98.1004,144.856 98.128,144.913 98.1557,144.97 98.1833,145.027 98.2109,145.083 \n",
       "  98.2386,145.14 98.2662,145.197 98.2939,145.254 98.3215,145.31 98.3491,145.367 98.3768,145.424 98.4044,145.481 98.432,145.537 98.4597,145.594 98.4873,145.651 \n",
       "  98.515,145.707 98.5426,145.764 98.5702,145.821 98.5979,145.877 98.6255,145.934 98.6531,145.991 98.6808,146.047 98.7084,146.104 98.7361,146.161 98.7637,146.217 \n",
       "  98.7913,146.274 98.819,146.331 98.8466,146.387 98.8743,146.444 98.9019,146.5 98.9295,146.557 98.9572,146.613 98.9848,146.67 99.0124,146.727 99.0401,146.783 \n",
       "  99.0677,146.84 99.0954,146.896 99.123,146.953 99.1506,147.009 99.1783,147.066 99.2059,147.122 99.2335,147.179 99.2612,147.235 99.2888,147.292 99.3165,147.348 \n",
       "  99.3441,147.405 99.3717,147.461 99.3994,147.518 99.427,147.574 99.4546,147.631 99.4823,147.687 99.5099,147.744 99.5376,147.8 99.5652,147.856 99.5928,147.913 \n",
       "  99.6205,147.969 99.6481,148.026 99.6757,148.082 99.7034,148.138 99.731,148.195 99.7587,148.251 99.7863,148.307 99.8139,148.364 99.8416,148.42 99.8692,148.477 \n",
       "  99.8969,148.533 99.9245,148.589 99.9521,148.646 99.9798,148.702 100.007,148.758 100.035,148.814 100.063,148.871 100.09,148.927 100.118,148.983 100.146,149.04 \n",
       "  100.173,149.096 100.201,149.152 100.229,149.208 100.256,149.265 100.284,149.321 100.311,149.377 100.339,149.433 100.367,149.489 100.394,149.546 100.422,149.602 \n",
       "  100.45,149.658 100.477,149.714 100.505,149.77 100.533,149.827 100.56,149.883 100.588,149.939 100.615,149.995 100.643,150.051 100.671,150.107 100.698,150.163 \n",
       "  100.726,150.22 100.754,150.276 100.781,150.332 100.809,150.388 100.837,150.444 100.864,150.5 100.892,150.556 100.919,150.612 100.947,150.668 100.975,150.724 \n",
       "  101.002,150.78 101.03,150.836 101.058,150.892 101.085,150.948 101.113,151.004 101.141,151.06 101.168,151.116 101.196,151.172 101.223,151.228 101.251,151.284 \n",
       "  101.279,151.34 101.306,151.396 101.334,151.452 101.362,151.508 101.389,151.564 101.417,151.62 101.445,151.676 101.472,151.732 101.5,151.788 101.527,151.844 \n",
       "  101.555,151.9 101.583,151.956 101.61,152.011 101.638,152.067 101.666,152.123 101.693,152.179 101.721,152.235 101.749,152.291 101.776,152.347 101.804,152.402 \n",
       "  101.831,152.458 101.859,152.514 101.887,152.57 101.914,152.626 101.942,152.682 101.97,152.737 101.997,152.793 102.025,152.849 102.053,152.905 102.08,152.96 \n",
       "  102.108,153.016 102.136,153.072 102.163,153.128 102.191,153.183 102.218,153.239 102.246,153.295 102.274,153.351 102.301,153.406 102.329,153.462 102.357,153.518 \n",
       "  102.384,153.573 102.412,153.629 102.44,153.685 102.467,153.74 102.495,153.796 102.522,153.852 102.55,153.907 102.578,153.963 102.605,154.019 102.633,154.074 \n",
       "  102.661,154.13 102.688,154.185 102.716,154.241 102.744,154.297 102.771,154.352 102.799,154.408 102.826,154.463 102.854,154.519 102.882,154.574 102.909,154.63 \n",
       "  102.937,154.686 102.965,154.741 102.992,154.797 103.02,154.852 103.048,154.908 103.075,154.963 103.103,155.019 103.13,155.074 103.158,155.13 103.186,155.185 \n",
       "  103.213,155.241 103.241,155.296 103.269,155.351 103.296,155.407 103.324,155.462 103.352,155.518 103.379,155.573 103.407,155.629 103.434,155.684 103.462,155.739 \n",
       "  103.49,155.795 103.517,155.85 103.545,155.906 103.573,155.961 103.6,156.016 103.628,156.072 103.656,156.127 103.683,156.182 103.711,156.238 103.739,156.293 \n",
       "  103.766,156.348 103.794,156.404 103.821,156.459 103.849,156.514 103.877,156.57 103.904,156.625 103.932,156.68 103.96,156.735 103.987,156.791 104.015,156.846 \n",
       "  104.043,156.901 104.07,156.956 104.098,157.012 104.125,157.067 104.153,157.122 104.181,157.177 104.208,157.233 104.236,157.288 104.264,157.343 104.291,157.398 \n",
       "  104.319,157.453 104.347,157.509 104.374,157.564 104.402,157.619 104.429,157.674 104.457,157.729 104.485,157.784 104.512,157.839 104.54,157.895 104.568,157.95 \n",
       "  104.595,158.005 104.623,158.06 104.651,158.115 104.678,158.17 104.706,158.225 104.733,158.28 104.761,158.335 104.789,158.39 104.816,158.445 104.844,158.5 \n",
       "  104.872,158.555 104.899,158.61 104.927,158.665 104.955,158.72 104.982,158.775 105.01,158.83 105.037,158.885 105.065,158.94 105.093,158.995 105.12,159.05 \n",
       "  105.148,159.105 105.176,159.16 105.203,159.215 105.231,159.27 105.259,159.325 105.286,159.38 105.314,159.435 105.341,159.49 105.369,159.545 105.397,159.6 \n",
       "  105.424,159.655 105.452,159.71 105.48,159.764 105.507,159.819 105.535,159.874 105.563,159.929 105.59,159.984 105.618,160.039 105.646,160.093 105.673,160.148 \n",
       "  105.701,160.203 105.728,160.258 105.756,160.313 105.784,160.368 105.811,160.422 105.839,160.477 105.867,160.532 105.894,160.587 105.922,160.641 105.95,160.696 \n",
       "  105.977,160.751 106.005,160.806 106.032,160.86 106.06,160.915 106.088,160.97 106.115,161.025 106.143,161.079 106.171,161.134 106.198,161.189 106.226,161.243 \n",
       "  106.254,161.298 106.281,161.353 106.309,161.407 106.336,161.462 106.364,161.517 106.392,161.571 106.419,161.626 106.447,161.681 106.475,161.735 106.502,161.79 \n",
       "  106.53,161.844 106.558,161.899 106.585,161.954 106.613,162.008 106.64,162.063 106.668,162.117 106.696,162.172 106.723,162.226 106.751,162.281 106.779,162.335 \n",
       "  106.806,162.39 106.834,162.445 106.862,162.499 106.889,162.554 106.917,162.608 106.944,162.663 106.972,162.717 107,162.771 107.027,162.826 107.055,162.88 \n",
       "  107.083,162.935 107.11,162.989 107.138,163.044 107.166,163.098 107.193,163.153 107.221,163.207 107.249,163.261 107.276,163.316 107.304,163.37 107.331,163.425 \n",
       "  107.359,163.479 107.387,163.533 107.414,163.588 107.442,163.642 107.47,163.697 107.497,163.751 107.525,163.805 107.553,163.86 107.58,163.914 107.608,163.968 \n",
       "  107.635,164.023 107.663,164.077 107.691,164.131 107.718,164.185 107.746,164.24 107.774,164.294 107.801,164.348 107.829,164.403 107.857,164.457 107.884,164.511 \n",
       "  107.912,164.565 107.939,164.62 107.967,164.674 107.995,164.728 108.022,164.782 108.05,164.836 108.078,164.891 108.105,164.945 108.133,164.999 108.161,165.053 \n",
       "  108.188,165.107 108.216,165.161 108.243,165.216 108.271,165.27 108.299,165.324 108.326,165.378 108.354,165.432 108.382,165.486 108.409,165.54 108.437,165.595 \n",
       "  108.465,165.649 108.492,165.703 108.52,165.757 108.547,165.811 108.575,165.865 108.603,165.919 108.63,165.973 108.658,166.027 108.686,166.081 108.713,166.135 \n",
       "  108.741,166.189 108.769,166.243 108.796,166.297 108.824,166.351 108.851,166.405 108.879,166.459 108.907,166.513 108.934,166.567 108.962,166.621 108.99,166.675 \n",
       "  109.017,166.729 109.045,166.783 109.073,166.837 109.1,166.891 109.128,166.945 109.156,166.999 109.183,167.053 109.211,167.107 109.238,167.16 109.266,167.214 \n",
       "  109.294,167.268 109.321,167.322 109.349,167.376 109.377,167.43 109.404,167.484 109.432,167.537 109.46,167.591 109.487,167.645 109.515,167.699 109.542,167.753 \n",
       "  109.57,167.807 109.598,167.86 109.625,167.914 109.653,167.968 109.681,168.022 109.708,168.076 109.736,168.129 109.764,168.183 109.791,168.237 109.819,168.291 \n",
       "  109.846,168.344 109.874,168.398 109.902,168.452 109.929,168.505 109.957,168.559 109.985,168.613 110.012,168.667 110.04,168.72 110.068,168.774 110.095,168.828 \n",
       "  110.123,168.881 110.15,168.935 110.178,168.989 110.206,169.042 110.233,169.096 110.261,169.15 110.289,169.203 110.316,169.257 110.344,169.31 110.372,169.364 \n",
       "  110.399,169.418 110.427,169.471 110.454,169.525 110.482,169.578 110.51,169.632 110.537,169.685 110.565,169.739 110.593,169.792 110.62,169.846 110.648,169.9 \n",
       "  110.676,169.953 110.703,170.007 110.731,170.06 110.759,170.114 110.786,170.167 110.814,170.221 110.841,170.274 110.869,170.328 110.897,170.381 110.924,170.434 \n",
       "  110.952,170.488 110.98,170.541 111.007,170.595 111.035,170.648 111.063,170.702 111.09,170.755 111.118,170.808 111.145,170.862 111.173,170.915 111.201,170.969 \n",
       "  111.228,171.022 111.256,171.075 111.284,171.129 111.311,171.182 111.339,171.235 111.367,171.289 111.394,171.342 111.422,171.395 111.449,171.449 111.477,171.502 \n",
       "  111.505,171.555 111.532,171.609 111.56,171.662 111.588,171.715 111.615,171.768 111.643,171.822 111.671,171.875 111.698,171.928 111.726,171.982 111.753,172.035 \n",
       "  111.781,172.088 111.809,172.141 111.836,172.194 111.864,172.248 111.892,172.301 111.919,172.354 111.947,172.407 111.975,172.46 112.002,172.514 112.03,172.567 \n",
       "  112.057,172.62 112.085,172.673 112.113,172.726 112.14,172.779 112.168,172.832 112.196,172.886 112.223,172.939 112.251,172.992 112.279,173.045 112.306,173.098 \n",
       "  112.334,173.151 112.361,173.204 112.389,173.257 112.417,173.31 112.444,173.363 112.472,173.416 112.5,173.469 112.527,173.523 112.555,173.576 112.583,173.629 \n",
       "  112.61,173.682 112.638,173.735 112.666,173.788 112.693,173.841 112.721,173.894 112.748,173.947 112.776,174 112.804,174.053 112.831,174.105 112.859,174.158 \n",
       "  112.887,174.211 112.914,174.264 112.942,174.317 112.97,174.37 112.997,174.423 113.025,174.476 113.052,174.529 113.08,174.582 113.108,174.635 113.135,174.688 \n",
       "  113.163,174.74 113.191,174.793 113.218,174.846 113.246,174.899 113.274,174.952 113.301,175.005 113.329,175.057 113.356,175.11 113.384,175.163 113.412,175.216 \n",
       "  113.439,175.269 113.467,175.322 113.495,175.374 113.522,175.427 113.55,175.48 113.578,175.533 113.605,175.585 113.633,175.638 113.66,175.691 113.688,175.744 \n",
       "  113.716,175.796 113.743,175.849 113.771,175.902 113.799,175.954 113.826,176.007 113.854,176.06 113.882,176.113 113.909,176.165 113.937,176.218 113.964,176.271 \n",
       "  113.992,176.323 114.02,176.376 114.047,176.428 114.075,176.481 114.103,176.534 114.13,176.586 114.158,176.639 114.186,176.692 114.213,176.744 114.241,176.797 \n",
       "  114.269,176.849 114.296,176.902 114.324,176.955 114.351,177.007 114.379,177.06 114.407,177.112 114.434,177.165 114.462,177.217 114.49,177.27 114.517,177.322 \n",
       "  114.545,177.375 114.573,177.427 114.6,177.48 114.628,177.532 114.655,177.585 114.683,177.637 114.711,177.69 114.738,177.742 114.766,177.795 114.794,177.847 \n",
       "  114.821,177.9 114.849,177.952 114.877,178.004 114.904,178.057 114.932,178.109 114.959,178.162 114.987,178.214 115.015,178.266 115.042,178.319 115.07,178.371 \n",
       "  115.098,178.423 115.125,178.476 115.153,178.528 115.181,178.581 115.208,178.633 115.236,178.685 115.263,178.738 115.291,178.79 115.319,178.842 115.346,178.894 \n",
       "  115.374,178.947 115.402,178.999 115.429,179.051 115.457,179.104 115.485,179.156 115.512,179.208 115.54,179.26 115.567,179.313 115.595,179.365 115.623,179.417 \n",
       "  115.65,179.469 115.678,179.522 115.706,179.574 115.733,179.626 115.761,179.678 115.789,179.73 115.816,179.783 115.844,179.835 115.871,179.887 115.899,179.939 \n",
       "  115.927,179.991 115.954,180.043 115.982,180.095 116.01,180.148 116.037,180.2 116.065,180.252 116.093,180.304 116.12,180.356 116.148,180.408 116.176,180.46 \n",
       "  116.203,180.512 116.231,180.564 116.258,180.616 116.286,180.668 116.314,180.72 116.341,180.773 116.369,180.825 116.397,180.877 116.424,180.929 116.452,180.981 \n",
       "  116.48,181.033 116.507,181.085 116.535,181.137 116.562,181.189 116.59,181.241 116.618,181.293 116.645,181.345 116.673,181.396 116.701,181.448 116.728,181.5 \n",
       "  116.756,181.552 116.784,181.604 116.811,181.656 116.839,181.708 116.866,181.76 116.894,181.812 116.922,181.864 116.949,181.916 116.977,181.968 117.005,182.019 \n",
       "  117.032,182.071 117.06,182.123 117.088,182.175 117.115,182.227 117.143,182.279 117.17,182.33 117.198,182.382 117.226,182.434 117.253,182.486 117.281,182.538 \n",
       "  117.309,182.589 117.336,182.641 117.364,182.693 117.392,182.745 117.419,182.797 117.447,182.848 117.474,182.9 117.502,182.952 117.53,183.004 117.557,183.055 \n",
       "  117.585,183.107 117.613,183.159 117.64,183.21 117.668,183.262 117.696,183.314 117.723,183.365 117.751,183.417 117.779,183.469 117.806,183.52 117.834,183.572 \n",
       "  117.861,183.624 117.889,183.675 117.917,183.727 117.944,183.779 117.972,183.83 118,183.882 118.027,183.933 118.055,183.985 118.083,184.037 118.11,184.088 \n",
       "  118.138,184.14 118.165,184.191 118.193,184.243 118.221,184.294 118.248,184.346 118.276,184.398 118.304,184.449 118.331,184.501 118.359,184.552 118.387,184.604 \n",
       "  118.414,184.655 118.442,184.707 118.469,184.758 118.497,184.81 118.525,184.861 118.552,184.913 118.58,184.964 118.608,185.015 118.635,185.067 118.663,185.118 \n",
       "  118.691,185.17 118.718,185.221 118.746,185.273 118.773,185.324 118.801,185.375 118.829,185.427 118.856,185.478 118.884,185.53 118.912,185.581 118.939,185.632 \n",
       "  118.967,185.684 118.995,185.735 119.022,185.786 119.05,185.838 119.077,185.889 119.105,185.94 119.133,185.992 119.16,186.043 119.188,186.094 119.216,186.146 \n",
       "  119.243,186.197 119.271,186.248 119.299,186.299 119.326,186.351 119.354,186.402 119.381,186.453 119.409,186.504 119.437,186.556 119.464,186.607 119.492,186.658 \n",
       "  119.52,186.709 119.547,186.76 119.575,186.812 119.603,186.863 119.63,186.914 119.658,186.965 119.686,187.016 119.713,187.068 119.741,187.119 119.768,187.17 \n",
       "  119.796,187.221 119.824,187.272 119.851,187.323 119.879,187.374 119.907,187.426 119.934,187.477 119.962,187.528 119.99,187.579 120.017,187.63 120.045,187.681 \n",
       "  120.072,187.732 120.1,187.783 120.128,187.834 120.155,187.885 120.183,187.936 120.211,187.987 120.238,188.038 120.266,188.089 120.294,188.14 120.321,188.191 \n",
       "  120.349,188.242 120.376,188.293 120.404,188.344 120.432,188.395 120.459,188.446 120.487,188.497 120.515,188.548 120.542,188.599 120.57,188.65 120.598,188.701 \n",
       "  120.625,188.752 120.653,188.803 120.68,188.854 120.708,188.905 120.736,188.956 120.763,189.006 120.791,189.057 120.819,189.108 120.846,189.159 120.874,189.21 \n",
       "  120.902,189.261 120.929,189.312 120.957,189.362 120.984,189.413 121.012,189.464 121.04,189.515 121.067,189.566 121.095,189.616 121.123,189.667 121.15,189.718 \n",
       "  121.178,189.769 121.206,189.82 121.233,189.87 121.261,189.921 121.289,189.972 121.316,190.023 121.344,190.073 121.371,190.124 121.399,190.175 121.427,190.226 \n",
       "  121.454,190.276 121.482,190.327 121.51,190.378 121.537,190.428 121.565,190.479 121.593,190.53 121.62,190.58 121.648,190.631 121.675,190.682 121.703,190.732 \n",
       "  121.731,190.783 121.758,190.834 121.786,190.884 121.814,190.935 121.841,190.985 121.869,191.036 121.897,191.087 121.924,191.137 121.952,191.188 121.979,191.238 \n",
       "  122.007,191.289 122.035,191.339 122.062,191.39 122.09,191.441 122.118,191.491 122.145,191.542 122.173,191.592 122.201,191.643 122.228,191.693 122.256,191.744 \n",
       "  122.283,191.794 122.311,191.845 122.339,191.895 122.366,191.946 122.394,191.996 122.422,192.046 122.449,192.097 122.477,192.147 122.505,192.198 122.532,192.248 \n",
       "  122.56,192.299 122.587,192.349 122.615,192.399 122.643,192.45 122.67,192.5 122.698,192.551 122.726,192.601 122.753,192.651 122.781,192.702 122.809,192.752 \n",
       "  122.836,192.802 122.864,192.853 122.891,192.903 122.919,192.953 122.947,193.004 122.974,193.054 123.002,193.104 123.03,193.155 123.057,193.205 123.085,193.255 \n",
       "  123.113,193.306 123.14,193.356 123.168,193.406 123.196,193.456 123.223,193.507 123.251,193.557 123.278,193.607 123.306,193.657 123.334,193.707 123.361,193.758 \n",
       "  123.389,193.808 123.417,193.858 123.444,193.908 123.472,193.958 123.5,194.009 123.527,194.059 123.555,194.109 123.582,194.159 123.61,194.209 123.638,194.259 \n",
       "  123.665,194.31 123.693,194.36 123.721,194.41 123.748,194.46 123.776,194.51 123.804,194.56 123.831,194.61 123.859,194.66 123.886,194.71 123.914,194.76 \n",
       "  123.942,194.81 123.969,194.86 123.997,194.911 124.025,194.961 124.052,195.011 124.08,195.061 124.108,195.111 124.135,195.161 124.163,195.211 124.19,195.261 \n",
       "  124.218,195.311 124.246,195.361 124.273,195.411 124.301,195.461 124.329,195.511 124.356,195.56 124.384,195.61 124.412,195.66 124.439,195.71 124.467,195.76 \n",
       "  124.494,195.81 124.522,195.86 124.55,195.91 124.577,195.96 124.605,196.01 124.633,196.06 124.66,196.109 124.688,196.159 124.716,196.209 124.743,196.259 \n",
       "  124.771,196.309 124.799,196.359 124.826,196.409 124.854,196.458 124.881,196.508 124.909,196.558 124.937,196.608 124.964,196.658 124.992,196.707 125.02,196.757 \n",
       "  125.047,196.807 125.075,196.857 125.103,196.906 125.13,196.956 125.158,197.006 125.185,197.056 125.213,197.105 125.241,197.155 125.268,197.205 125.296,197.254 \n",
       "  125.324,197.304 125.351,197.354 125.379,197.404 125.407,197.453 125.434,197.503 125.462,197.553 125.489,197.602 125.517,197.652 125.545,197.702 125.572,197.751 \n",
       "  125.6,197.801 125.628,197.85 125.655,197.9 125.683,197.95 125.711,197.999 125.738,198.049 125.766,198.098 125.793,198.148 125.821,198.198 125.849,198.247 \n",
       "  125.876,198.297 125.904,198.346 125.932,198.396 125.959,198.445 125.987,198.495 126.015,198.544 126.042,198.594 126.07,198.643 126.097,198.693 126.125,198.742 \n",
       "  126.153,198.792 126.18,198.841 126.208,198.891 126.236,198.94 126.263,198.99 126.291,199.039 126.319,199.089 126.346,199.138 126.374,199.187 126.401,199.237 \n",
       "  126.429,199.286 126.457,199.336 126.484,199.385 126.512,199.434 126.54,199.484 126.567,199.533 126.595,199.582 126.623,199.632 126.65,199.681 126.678,199.731 \n",
       "  126.706,199.78 126.733,199.829 126.761,199.879 126.788,199.928 126.816,199.977 126.844,200.026 126.871,200.076 126.899,200.125 126.927,200.174 126.954,200.224 \n",
       "  126.982,200.273 127.01,200.322 127.037,200.371 127.065,200.421 127.092,200.47 127.12,200.519 127.148,200.568 127.175,200.618 127.203,200.667 127.231,200.716 \n",
       "  127.258,200.765 127.286,200.814 127.314,200.863 127.341,200.913 127.369,200.962 127.396,201.011 127.424,201.06 127.452,201.109 127.479,201.158 127.507,201.208 \n",
       "  127.535,201.257 127.562,201.306 127.59,201.355 127.618,201.404 127.645,201.453 127.673,201.502 127.7,201.551 127.728,201.6 127.756,201.649 127.783,201.698 \n",
       "  127.811,201.747 127.839,201.797 127.866,201.846 127.894,201.895 127.922,201.944 127.949,201.993 127.977,202.042 128.004,202.091 128.032,202.14 128.06,202.189 \n",
       "  128.087,202.238 128.115,202.287 128.143,202.336 128.17,202.384 128.198,202.433 128.226,202.482 128.253,202.531 128.281,202.58 128.309,202.629 128.336,202.678 \n",
       "  128.364,202.727 128.391,202.776 128.419,202.825 128.447,202.874 128.474,202.922 128.502,202.971 128.53,203.02 128.557,203.069 128.585,203.118 128.613,203.167 \n",
       "  128.64,203.216 128.668,203.264 128.695,203.313 128.723,203.362 128.751,203.411 128.778,203.46 128.806,203.508 128.834,203.557 128.861,203.606 128.889,203.655 \n",
       "  128.917,203.704 128.944,203.752 128.972,203.801 128.999,203.85 129.027,203.898 129.055,203.947 129.082,203.996 129.11,204.045 129.138,204.093 129.165,204.142 \n",
       "  129.193,204.191 129.221,204.239 129.248,204.288 129.276,204.337 129.303,204.385 129.331,204.434 129.359,204.483 129.386,204.531 129.414,204.58 129.442,204.629 \n",
       "  129.469,204.677 129.497,204.726 129.525,204.774 129.552,204.823 129.58,204.872 129.607,204.92 129.635,204.969 129.663,205.017 129.69,205.066 129.718,205.114 \n",
       "  129.746,205.163 129.773,205.212 129.801,205.26 129.829,205.309 129.856,205.357 129.884,205.406 129.911,205.454 129.939,205.503 129.967,205.551 129.994,205.6 \n",
       "  130.022,205.648 130.05,205.696 130.077,205.745 130.105,205.793 130.133,205.842 130.16,205.89 130.188,205.939 130.216,205.987 130.243,206.036 130.271,206.084 \n",
       "  130.298,206.132 130.326,206.181 130.354,206.229 130.381,206.278 130.409,206.326 130.437,206.374 130.464,206.423 130.492,206.471 130.52,206.519 130.547,206.568 \n",
       "  130.575,206.616 130.602,206.664 130.63,206.713 130.658,206.761 130.685,206.809 130.713,206.857 130.741,206.906 130.768,206.954 130.796,207.002 130.824,207.051 \n",
       "  130.851,207.099 130.879,207.147 130.906,207.195 130.934,207.244 130.962,207.292 130.989,207.34 131.017,207.388 131.045,207.436 131.072,207.485 131.1,207.533 \n",
       "  131.128,207.581 131.155,207.629 131.183,207.677 131.21,207.726 131.238,207.774 131.266,207.822 131.293,207.87 131.321,207.918 131.349,207.966 131.376,208.014 \n",
       "  131.404,208.062 131.432,208.111 131.459,208.159 131.487,208.207 131.514,208.255 131.542,208.303 131.57,208.351 131.597,208.399 131.625,208.447 131.653,208.495 \n",
       "  131.68,208.543 131.708,208.591 131.736,208.639 131.763,208.687 131.791,208.735 131.819,208.783 131.846,208.831 131.874,208.879 131.901,208.927 131.929,208.975 \n",
       "  131.957,209.023 131.984,209.071 132.012,209.119 132.04,209.167 132.067,209.215 132.095,209.263 132.123,209.311 132.15,209.359 132.178,209.407 132.205,209.455 \n",
       "  132.233,209.502 132.261,209.55 132.288,209.598 132.316,209.646 132.344,209.694 132.371,209.742 132.399,209.79 132.427,209.837 132.454,209.885 132.482,209.933 \n",
       "  132.509,209.981 132.537,210.029 132.565,210.077 132.592,210.124 132.62,210.172 132.648,210.22 132.675,210.268 132.703,210.316 132.731,210.363 132.758,210.411 \n",
       "  132.786,210.459 132.813,210.507 132.841,210.554 132.869,210.602 132.896,210.65 132.924,210.697 132.952,210.745 132.979,210.793 133.007,210.841 133.035,210.888 \n",
       "  133.062,210.936 133.09,210.984 133.117,211.031 133.145,211.079 133.173,211.127 133.2,211.174 133.228,211.222 133.256,211.269 133.283,211.317 133.311,211.365 \n",
       "  133.339,211.412 133.366,211.46 133.394,211.508 133.421,211.555 133.449,211.603 133.477,211.65 133.504,211.698 133.532,211.745 133.56,211.793 133.587,211.84 \n",
       "  133.615,211.888 133.643,211.936 133.67,211.983 133.698,212.031 133.726,212.078 133.753,212.126 133.781,212.173 133.808,212.221 133.836,212.268 133.864,212.315 \n",
       "  133.891,212.363 133.919,212.41 133.947,212.458 133.974,212.505 134.002,212.553 134.03,212.6 134.057,212.648 134.085,212.695 134.112,212.742 134.14,212.79 \n",
       "  134.168,212.837 134.195,212.885 134.223,212.932 134.251,212.979 134.278,213.027 134.306,213.074 134.334,213.121 134.361,213.169 134.389,213.216 134.416,213.263 \n",
       "  134.444,213.311 134.472,213.358 134.499,213.405 134.527,213.453 134.555,213.5 134.582,213.547 134.61,213.594 134.638,213.642 134.665,213.689 134.693,213.736 \n",
       "  134.72,213.783 134.748,213.831 134.776,213.878 134.803,213.925 134.831,213.972 134.859,214.02 134.886,214.067 134.914,214.114 134.942,214.161 134.969,214.208 \n",
       "  134.997,214.256 135.024,214.303 135.052,214.35 135.08,214.397 135.107,214.444 135.135,214.491 135.163,214.538 135.19,214.586 135.218,214.633 135.246,214.68 \n",
       "  135.273,214.727 135.301,214.774 135.329,214.821 135.356,214.868 135.384,214.915 135.411,214.962 135.439,215.009 135.467,215.056 135.494,215.103 135.522,215.15 \n",
       "  135.55,215.197 135.577,215.244 135.605,215.292 135.633,215.339 135.66,215.386 135.688,215.433 135.715,215.479 135.743,215.526 135.771,215.573 135.798,215.62 \n",
       "  135.826,215.667 135.854,215.714 135.881,215.761 135.909,215.808 135.937,215.855 135.964,215.902 135.992,215.949 136.019,215.996 136.047,216.043 136.075,216.09 \n",
       "  136.102,216.137 136.13,216.183 136.158,216.23 136.185,216.277 136.213,216.324 136.241,216.371 136.268,216.418 136.296,216.465 136.323,216.511 136.351,216.558 \n",
       "  136.379,216.605 136.406,216.652 136.434,216.699 136.462,216.745 136.489,216.792 136.517,216.839 136.545,216.886 136.572,216.932 136.6,216.979 136.627,217.026 \n",
       "  136.655,217.073 136.683,217.119 136.71,217.166 136.738,217.213 136.766,217.26 136.793,217.306 136.821,217.353 136.849,217.4 136.876,217.446 136.904,217.493 \n",
       "  136.931,217.54 136.959,217.586 136.987,217.633 137.014,217.68 137.042,217.726 137.07,217.773 137.097,217.82 137.125,217.866 137.153,217.913 137.18,217.959 \n",
       "  137.208,218.006 137.236,218.053 137.263,218.099 137.291,218.146 137.318,218.192 137.346,218.239 137.374,218.285 137.401,218.332 137.429,218.379 137.457,218.425 \n",
       "  137.484,218.472 137.512,218.518 137.54,218.565 137.567,218.611 137.595,218.658 137.622,218.704 137.65,218.751 137.678,218.797 137.705,218.844 137.733,218.89 \n",
       "  137.761,218.936 137.788,218.983 137.816,219.029 137.844,219.076 137.871,219.122 137.899,219.169 137.926,219.215 137.954,219.261 137.982,219.308 138.009,219.354 \n",
       "  138.037,219.401 138.065,219.447 138.092,219.493 138.12,219.54 138.148,219.586 138.175,219.632 138.203,219.679 138.23,219.725 138.258,219.771 138.286,219.818 \n",
       "  138.313,219.864 138.341,219.91 138.369,219.957 138.396,220.003 138.424,220.049 138.452,220.095 138.479,220.142 138.507,220.188 138.534,220.234 138.562,220.28 \n",
       "  138.59,220.327 138.617,220.373 138.645,220.419 138.673,220.465 138.7,220.512 138.728,220.558 138.756,220.604 138.783,220.65 138.811,220.696 138.839,220.742 \n",
       "  138.866,220.789 138.894,220.835 138.921,220.881 138.949,220.927 138.977,220.973 139.004,221.019 139.032,221.065 139.06,221.112 139.087,221.158 139.115,221.204 \n",
       "  139.143,221.25 139.17,221.296 139.198,221.342 139.225,221.388 139.253,221.434 139.281,221.48 139.308,221.526 139.336,221.572 139.364,221.618 139.391,221.664 \n",
       "  139.419,221.71 139.447,221.756 139.474,221.802 139.502,221.848 139.529,221.894 139.557,221.94 139.585,221.986 139.612,222.032 139.64,222.078 139.668,222.124 \n",
       "  139.695,222.17 139.723,222.216 139.751,222.262 139.778,222.308 139.806,222.354 139.833,222.4 139.861,222.446 139.889,222.492 139.916,222.538 139.944,222.583 \n",
       "  139.972,222.629 139.999,222.675 140.027,222.721 140.055,222.767 140.082,222.813 140.11,222.859 140.137,222.904 140.165,222.95 140.193,222.996 140.22,223.042 \n",
       "  140.248,223.088 140.276,223.133 140.303,223.179 140.331,223.225 140.359,223.271 140.386,223.317 140.414,223.362 140.441,223.408 140.469,223.454 140.497,223.5 \n",
       "  140.524,223.545 140.552,223.591 140.58,223.637 140.607,223.682 140.635,223.728 140.663,223.774 140.69,223.82 140.718,223.865 140.746,223.911 140.773,223.957 \n",
       "  140.801,224.002 140.828,224.048 140.856,224.094 140.884,224.139 140.911,224.185 140.939,224.23 140.967,224.276 140.994,224.322 141.022,224.367 141.05,224.413 \n",
       "  141.077,224.458 141.105,224.504 141.132,224.55 141.16,224.595 141.188,224.641 141.215,224.686 141.243,224.732 141.271,224.777 141.298,224.823 141.326,224.868 \n",
       "  141.354,224.914 141.381,224.959 141.409,225.005 141.436,225.05 141.464,225.096 141.492,225.141 141.519,225.187 141.547,225.232 141.575,225.278 141.602,225.323 \n",
       "  141.63,225.369 141.658,225.414 141.685,225.459 141.713,225.505 141.74,225.55 141.768,225.596 141.796,225.641 141.823,225.687 141.851,225.732 141.879,225.777 \n",
       "  141.906,225.823 141.934,225.868 141.962,225.913 141.989,225.959 142.017,226.004 142.044,226.049 142.072,226.095 142.1,226.14 142.127,226.185 142.155,226.231 \n",
       "  142.183,226.276 142.21,226.321 142.238,226.367 142.266,226.412 142.293,226.457 142.321,226.502 142.349,226.548 142.376,226.593 142.404,226.638 142.431,226.683 \n",
       "  142.459,226.729 142.487,226.774 142.514,226.819 142.542,226.864 142.57,226.909 142.597,226.955 142.625,227 142.653,227.045 142.68,227.09 142.708,227.135 \n",
       "  142.735,227.18 142.763,227.226 142.791,227.271 142.818,227.316 142.846,227.361 142.874,227.406 142.901,227.451 142.929,227.496 142.957,227.541 142.984,227.586 \n",
       "  143.012,227.632 143.039,227.677 143.067,227.722 143.095,227.767 143.122,227.812 143.15,227.857 143.178,227.902 143.205,227.947 143.233,227.992 143.261,228.037 \n",
       "  143.288,228.082 143.316,228.127 143.343,228.172 143.371,228.217 143.399,228.262 143.426,228.307 143.454,228.352 143.482,228.397 143.509,228.442 143.537,228.487 \n",
       "  143.565,228.532 143.592,228.577 143.62,228.622 143.647,228.666 143.675,228.711 143.703,228.756 143.73,228.801 143.758,228.846 143.786,228.891 143.813,228.936 \n",
       "  143.841,228.981 143.869,229.026 143.896,229.07 143.924,229.115 143.951,229.16 143.979,229.205 144.007,229.25 144.034,229.295 144.062,229.339 144.09,229.384 \n",
       "  144.117,229.429 144.145,229.474 144.173,229.519 144.2,229.563 144.228,229.608 144.256,229.653 144.283,229.698 144.311,229.742 144.338,229.787 144.366,229.832 \n",
       "  144.394,229.876 144.421,229.921 144.449,229.966 144.477,230.011 144.504,230.055 144.532,230.1 144.56,230.145 144.587,230.189 144.615,230.234 144.642,230.279 \n",
       "  144.67,230.323 144.698,230.368 144.725,230.413 144.753,230.457 144.781,230.502 144.808,230.546 144.836,230.591 144.864,230.636 144.891,230.68 144.919,230.725 \n",
       "  144.946,230.769 144.974,230.814 145.002,230.859 145.029,230.903 145.057,230.948 145.085,230.992 145.112,231.037 145.14,231.081 145.168,231.126 145.195,231.17 \n",
       "  145.223,231.215 145.25,231.259 145.278,231.304 145.306,231.348 145.333,231.393 145.361,231.437 145.389,231.482 145.416,231.526 145.444,231.571 145.472,231.615 \n",
       "  145.499,231.659 145.527,231.704 145.554,231.748 145.582,231.793 145.61,231.837 145.637,231.881 145.665,231.926 145.693,231.97 145.72,232.015 145.748,232.059 \n",
       "  145.776,232.103 145.803,232.148 145.831,232.192 145.859,232.236 145.886,232.281 145.914,232.325 145.941,232.369 145.969,232.414 145.997,232.458 146.024,232.502 \n",
       "  146.052,232.547 146.08,232.591 146.107,232.635 146.135,232.679 146.163,232.724 146.19,232.768 146.218,232.812 146.245,232.856 146.273,232.901 146.301,232.945 \n",
       "  146.328,232.989 146.356,233.033 146.384,233.077 146.411,233.122 146.439,233.166 146.467,233.21 146.494,233.254 146.522,233.298 146.549,233.343 146.577,233.387 \n",
       "  146.605,233.431 146.632,233.475 146.66,233.519 146.688,233.563 146.715,233.607 146.743,233.651 146.771,233.696 146.798,233.74 146.826,233.784 146.853,233.828 \n",
       "  146.881,233.872 146.909,233.916 146.936,233.96 146.964,234.004 146.992,234.048 147.019,234.092 147.047,234.136 147.075,234.18 147.102,234.224 147.13,234.268 \n",
       "  147.157,234.312 147.185,234.356 147.213,234.4 147.24,234.444 147.268,234.488 147.296,234.532 147.323,234.576 147.351,234.62 147.379,234.664 147.406,234.708 \n",
       "  147.434,234.752 147.461,234.796 147.489,234.84 147.517,234.884 147.544,234.927 147.572,234.971 147.6,235.015 147.627,235.059 147.655,235.103 147.683,235.147 \n",
       "  147.71,235.191 147.738,235.235 147.766,235.278 147.793,235.322 147.821,235.366 147.848,235.41 147.876,235.454 147.904,235.497 147.931,235.541 147.959,235.585 \n",
       "  147.987,235.629 148.014,235.673 148.042,235.716 148.07,235.76 148.097,235.804 148.125,235.848 148.152,235.891 148.18,235.935 148.208,235.979 148.235,236.023 \n",
       "  148.263,236.066 148.291,236.11 148.318,236.154 148.346,236.197 148.374,236.241 148.401,236.285 148.429,236.328 148.456,236.372 148.484,236.416 148.512,236.459 \n",
       "  148.539,236.503 148.567,236.547 148.595,236.59 148.622,236.634 148.65,236.678 148.678,236.721 148.705,236.765 148.733,236.808 148.76,236.852 148.788,236.895 \n",
       "  148.816,236.939 148.843,236.983 148.871,237.026 148.899,237.07 148.926,237.113 148.954,237.157 148.982,237.2 149.009,237.244 149.037,237.287 149.064,237.331 \n",
       "  149.092,237.374 149.12,237.418 149.147,237.461 149.175,237.505 149.203,237.548 149.23,237.592 149.258,237.635 149.286,237.679 149.313,237.722 149.341,237.765 \n",
       "  149.369,237.809 149.396,237.852 149.424,237.896 149.451,237.939 149.479,237.982 149.507,238.026 149.534,238.069 149.562,238.113 149.59,238.156 149.617,238.199 \n",
       "  149.645,238.243 149.673,238.286 149.7,238.329 149.728,238.373 149.755,238.416 149.783,238.459 149.811,238.503 149.838,238.546 149.866,238.589 149.894,238.633 \n",
       "  149.921,238.676 149.949,238.719 149.977,238.762 150.004,238.806 150.032,238.849 150.059,238.892 150.087,238.935 150.115,238.979 150.142,239.022 150.17,239.065 \n",
       "  150.198,239.108 150.225,239.151 150.253,239.195 150.281,239.238 150.308,239.281 150.336,239.324 150.363,239.367 150.391,239.41 150.419,239.454 150.446,239.497 \n",
       "  150.474,239.54 150.502,239.583 150.529,239.626 150.557,239.669 150.585,239.712 150.612,239.755 150.64,239.799 150.667,239.842 150.695,239.885 150.723,239.928 \n",
       "  150.75,239.971 150.778,240.014 150.806,240.057 150.833,240.1 150.861,240.143 150.889,240.186 150.916,240.229 150.944,240.272 150.971,240.315 150.999,240.358 \n",
       "  151.027,240.401 151.054,240.444 151.082,240.487 151.11,240.53 151.137,240.573 151.165,240.616 151.193,240.659 151.22,240.702 151.248,240.745 151.276,240.788 \n",
       "  151.303,240.831 151.331,240.873 151.358,240.916 151.386,240.959 151.414,241.002 151.441,241.045 151.469,241.088 151.497,241.131 151.524,241.174 151.552,241.217 \n",
       "  151.58,241.259 151.607,241.302 151.635,241.345 151.662,241.388 151.69,241.431 151.718,241.473 151.745,241.516 151.773,241.559 151.801,241.602 151.828,241.645 \n",
       "  151.856,241.687 151.884,241.73 151.911,241.773 151.939,241.816 151.966,241.858 151.994,241.901 152.022,241.944 152.049,241.987 152.077,242.029 152.105,242.072 \n",
       "  152.132,242.115 152.16,242.157 152.188,242.2 152.215,242.243 152.243,242.286 152.27,242.328 152.298,242.371 152.326,242.413 152.353,242.456 152.381,242.499 \n",
       "  152.409,242.541 152.436,242.584 152.464,242.627 152.492,242.669 152.519,242.712 152.547,242.754 152.574,242.797 152.602,242.84 152.63,242.882 152.657,242.925 \n",
       "  152.685,242.967 152.713,243.01 152.74,243.052 152.768,243.095 152.796,243.137 152.823,243.18 152.851,243.222 152.879,243.265 152.906,243.307 152.934,243.35 \n",
       "  152.961,243.392 152.989,243.435 153.017,243.477 153.044,243.52 153.072,243.562 153.1,243.605 153.127,243.647 153.155,243.69 153.183,243.732 153.21,243.775 \n",
       "  153.238,243.817 153.265,243.859 153.293,243.902 153.321,243.944 153.348,243.987 153.376,244.029 153.404,244.071 153.431,244.114 153.459,244.156 153.487,244.198 \n",
       "  153.514,244.241 153.542,244.283 153.569,244.325 153.597,244.368 153.625,244.41 153.652,244.452 153.68,244.495 153.708,244.537 153.735,244.579 153.763,244.621 \n",
       "  153.791,244.664 153.818,244.706 153.846,244.748 153.873,244.79 153.901,244.833 153.929,244.875 153.956,244.917 153.984,244.959 154.012,245.002 154.039,245.044 \n",
       "  154.067,245.086 154.095,245.128 154.122,245.17 154.15,245.213 154.177,245.255 154.205,245.297 154.233,245.339 154.26,245.381 154.288,245.423 154.316,245.465 \n",
       "  154.343,245.508 154.371,245.55 154.399,245.592 154.426,245.634 154.454,245.676 154.481,245.718 154.509,245.76 154.537,245.802 154.564,245.844 154.592,245.886 \n",
       "  154.62,245.928 154.647,245.97 154.675,246.012 154.703,246.055 154.73,246.097 154.758,246.139 154.786,246.181 154.813,246.223 154.841,246.265 154.868,246.307 \n",
       "  154.896,246.349 154.924,246.391 154.951,246.432 154.979,246.474 155.007,246.516 155.034,246.558 155.062,246.6 155.09,246.642 155.117,246.684 155.145,246.726 \n",
       "  155.172,246.768 155.2,246.81 155.228,246.852 155.255,246.894 155.283,246.936 155.311,246.977 155.338,247.019 155.366,247.061 155.394,247.103 155.421,247.145 \n",
       "  155.449,247.187 155.476,247.228 155.504,247.27 155.532,247.312 155.559,247.354 155.587,247.396 155.615,247.438 155.642,247.479 155.67,247.521 155.698,247.563 \n",
       "  155.725,247.605 155.753,247.646 155.78,247.688 155.808,247.73 155.836,247.772 155.863,247.813 155.891,247.855 155.919,247.897 155.946,247.938 155.974,247.98 \n",
       "  156.002,248.022 156.029,248.064 156.057,248.105 156.084,248.147 156.112,248.189 156.14,248.23 156.167,248.272 156.195,248.314 156.223,248.355 156.25,248.397 \n",
       "  156.278,248.438 156.306,248.48 156.333,248.522 156.361,248.563 156.389,248.605 156.416,248.646 156.444,248.688 156.471,248.73 156.499,248.771 156.527,248.813 \n",
       "  156.554,248.854 156.582,248.896 156.61,248.937 156.637,248.979 156.665,249.02 156.693,249.062 156.72,249.103 156.748,249.145 156.775,249.186 156.803,249.228 \n",
       "  156.831,249.269 156.858,249.311 156.886,249.352 156.914,249.394 156.941,249.435 156.969,249.477 156.997,249.518 157.024,249.559 157.052,249.601 157.079,249.642 \n",
       "  157.107,249.684 157.135,249.725 157.162,249.766 157.19,249.808 157.218,249.849 157.245,249.891 157.273,249.932 157.301,249.973 157.328,250.015 157.356,250.056 \n",
       "  157.383,250.097 157.411,250.139 157.439,250.18 157.466,250.221 157.494,250.263 157.522,250.304 157.549,250.345 157.577,250.386 157.605,250.428 157.632,250.469 \n",
       "  157.66,250.51 157.687,250.551 157.715,250.593 157.743,250.634 157.77,250.675 157.798,250.716 157.826,250.758 157.853,250.799 157.881,250.84 157.909,250.881 \n",
       "  157.936,250.922 157.964,250.964 157.991,251.005 158.019,251.046 158.047,251.087 158.074,251.128 158.102,251.169 158.13,251.211 158.157,251.252 158.185,251.293 \n",
       "  158.213,251.334 158.24,251.375 158.268,251.416 158.296,251.457 158.323,251.498 158.351,251.539 158.378,251.58 158.406,251.621 158.434,251.663 158.461,251.704 \n",
       "  158.489,251.745 158.517,251.786 158.544,251.827 158.572,251.868 158.6,251.909 158.627,251.95 158.655,251.991 158.682,252.032 158.71,252.073 158.738,252.114 \n",
       "  158.765,252.155 158.793,252.196 158.821,252.237 158.848,252.278 158.876,252.318 158.904,252.359 158.931,252.4 158.959,252.441 158.986,252.482 159.014,252.523 \n",
       "  159.042,252.564 159.069,252.605 159.097,252.646 159.125,252.687 159.152,252.728 159.18,252.768 159.208,252.809 159.235,252.85 159.263,252.891 159.29,252.932 \n",
       "  159.318,252.973 159.346,253.013 159.373,253.054 159.401,253.095 159.429,253.136 159.456,253.177 159.484,253.217 159.512,253.258 159.539,253.299 159.567,253.34 \n",
       "  159.594,253.38 159.622,253.421 159.65,253.462 159.677,253.503 159.705,253.543 159.733,253.584 159.76,253.625 159.788,253.666 159.816,253.706 159.843,253.747 \n",
       "  159.871,253.788 159.899,253.828 159.926,253.869 159.954,253.91 159.981,253.95 160.009,253.991 160.037,254.032 160.064,254.072 160.092,254.113 160.12,254.153 \n",
       "  160.147,254.194 160.175,254.235 160.203,254.275 160.23,254.316 160.258,254.356 160.285,254.397 160.313,254.438 160.341,254.478 160.368,254.519 160.396,254.559 \n",
       "  160.424,254.6 160.451,254.64 160.479,254.681 160.507,254.721 160.534,254.762 160.562,254.802 160.589,254.843 160.617,254.883 160.645,254.924 160.672,254.964 \n",
       "  160.7,255.005 160.728,255.045 160.755,255.086 160.783,255.126 160.811,255.167 160.838,255.207 160.866,255.247 160.893,255.288 160.921,255.328 160.949,255.369 \n",
       "  160.976,255.409 161.004,255.449 161.032,255.49 161.059,255.53 161.087,255.57 161.115,255.611 161.142,255.651 161.17,255.692 161.197,255.732 161.225,255.772 \n",
       "  161.253,255.813 161.28,255.853 161.308,255.893 161.336,255.933 161.363,255.974 161.391,256.014 161.419,256.054 161.446,256.095 161.474,256.135 161.501,256.175 \n",
       "  161.529,256.215 161.557,256.256 161.584,256.296 161.612,256.336 161.64,256.376 161.667,256.416 161.695,256.457 161.723,256.497 161.75,256.537 161.778,256.577 \n",
       "  161.806,256.617 161.833,256.658 161.861,256.698 161.888,256.738 161.916,256.778 161.944,256.818 161.971,256.858 161.999,256.898 162.027,256.939 162.054,256.979 \n",
       "  162.082,257.019 162.11,257.059 162.137,257.099 162.165,257.139 162.192,257.179 162.22,257.219 162.248,257.259 162.275,257.299 162.303,257.339 162.331,257.379 \n",
       "  162.358,257.419 162.386,257.46 162.414,257.5 162.441,257.54 162.469,257.58 162.496,257.62 162.524,257.66 162.552,257.7 162.579,257.739 162.607,257.779 \n",
       "  162.635,257.819 162.662,257.859 162.69,257.899 162.718,257.939 162.745,257.979 162.773,258.019 162.8,258.059 162.828,258.099 162.856,258.139 162.883,258.179 \n",
       "  162.911,258.219 162.939,258.259 162.966,258.298 162.994,258.338 163.022,258.378 163.049,258.418 163.077,258.458 163.104,258.498 163.132,258.537 163.16,258.577 \n",
       "  163.187,258.617 163.215,258.657 163.243,258.697 163.27,258.737 163.298,258.776 163.326,258.816 163.353,258.856 163.381,258.896 163.409,258.935 163.436,258.975 \n",
       "  163.464,259.015 163.491,259.055 163.519,259.094 163.547,259.134 163.574,259.174 163.602,259.214 163.63,259.253 163.657,259.293 163.685,259.333 163.713,259.372 \n",
       "  163.74,259.412 163.768,259.452 163.795,259.491 163.823,259.531 163.851,259.571 163.878,259.61 163.906,259.65 163.934,259.689 163.961,259.729 163.989,259.769 \n",
       "  164.017,259.808 164.044,259.848 164.072,259.887 164.099,259.927 164.127,259.967 164.155,260.006 164.182,260.046 164.21,260.085 164.238,260.125 164.265,260.164 \n",
       "  164.293,260.204 164.321,260.243 164.348,260.283 164.376,260.322 164.403,260.362 164.431,260.401 164.459,260.441 164.486,260.48 164.514,260.52 164.542,260.559 \n",
       "  164.569,260.599 164.597,260.638 164.625,260.678 164.652,260.717 164.68,260.757 164.707,260.796 164.735,260.835 164.763,260.875 164.79,260.914 164.818,260.954 \n",
       "  164.846,260.993 164.873,261.032 164.901,261.072 164.929,261.111 164.956,261.15 164.984,261.19 165.011,261.229 165.039,261.268 165.067,261.308 165.094,261.347 \n",
       "  165.122,261.386 165.15,261.426 165.177,261.465 165.205,261.504 165.233,261.544 165.26,261.583 165.288,261.622 165.316,261.661 165.343,261.701 165.371,261.74 \n",
       "  165.398,261.779 165.426,261.818 165.454,261.858 165.481,261.897 165.509,261.936 165.537,261.975 165.564,262.014 165.592,262.054 165.62,262.093 165.647,262.132 \n",
       "  165.675,262.171 165.702,262.21 165.73,262.249 165.758,262.289 165.785,262.328 165.813,262.367 165.841,262.406 165.868,262.445 165.896,262.484 165.924,262.523 \n",
       "  165.951,262.562 165.979,262.602 166.006,262.641 166.034,262.68 166.062,262.719 166.089,262.758 166.117,262.797 166.145,262.836 166.172,262.875 166.2,262.914 \n",
       "  166.228,262.953 166.255,262.992 166.283,263.031 166.31,263.07 166.338,263.109 166.366,263.148 166.393,263.187 166.421,263.226 166.449,263.265 166.476,263.304 \n",
       "  166.504,263.343 166.532,263.382 166.559,263.421 166.587,263.46 166.614,263.499 166.642,263.537 166.67,263.576 166.697,263.615 166.725,263.654 166.753,263.693 \n",
       "  166.78,263.732 166.808,263.771 166.836,263.81 166.863,263.849 166.891,263.887 166.919,263.926 166.946,263.965 166.974,264.004 167.001,264.043 167.029,264.082 \n",
       "  167.057,264.12 167.084,264.159 167.112,264.198 167.14,264.237 167.167,264.275 167.195,264.314 167.223,264.353 167.25,264.392 167.278,264.431 167.305,264.469 \n",
       "  167.333,264.508 167.361,264.547 167.388,264.585 167.416,264.624 167.444,264.663 167.471,264.702 167.499,264.74 167.527,264.779 167.554,264.818 167.582,264.856 \n",
       "  167.609,264.895 167.637,264.934 167.665,264.972 167.692,265.011 167.72,265.05 167.748,265.088 167.775,265.127 167.803,265.165 167.831,265.204 167.858,265.243 \n",
       "  167.886,265.281 167.913,265.32 167.941,265.358 167.969,265.397 167.996,265.435 168.024,265.474 168.052,265.513 168.079,265.551 168.107,265.59 168.135,265.628 \n",
       "  168.162,265.667 168.19,265.705 168.217,265.744 168.245,265.782 168.273,265.821 168.3,265.859 168.328,265.898 168.356,265.936 168.383,265.975 168.411,266.013 \n",
       "  168.439,266.052 168.466,266.09 168.494,266.128 168.521,266.167 168.549,266.205 168.577,266.244 168.604,266.282 168.632,266.32 168.66,266.359 168.687,266.397 \n",
       "  168.715,266.436 168.743,266.474 168.77,266.512 168.798,266.551 168.826,266.589 168.853,266.627 168.881,266.666 168.908,266.704 168.936,266.742 168.964,266.781 \n",
       "  168.991,266.819 169.019,266.857 169.047,266.896 169.074,266.934 169.102,266.972 169.13,267.01 169.157,267.049 169.185,267.087 169.212,267.125 169.24,267.163 \n",
       "  169.268,267.202 169.295,267.24 169.323,267.278 169.351,267.316 169.378,267.354 169.406,267.393 169.434,267.431 169.461,267.469 169.489,267.507 169.516,267.545 \n",
       "  169.544,267.583 169.572,267.622 169.599,267.66 169.627,267.698 169.655,267.736 169.682,267.774 169.71,267.812 169.738,267.85 169.765,267.888 169.793,267.927 \n",
       "  169.82,267.965 169.848,268.003 169.876,268.041 169.903,268.079 169.931,268.117 169.959,268.155 169.986,268.193 170.014,268.231 170.042,268.269 170.069,268.307 \n",
       "  170.097,268.345 170.124,268.383 170.152,268.421 170.18,268.459 170.207,268.497 170.235,268.535 170.263,268.573 170.29,268.611 170.318,268.649 170.346,268.687 \n",
       "  170.373,268.725 170.401,268.763 170.429,268.801 170.456,268.839 170.484,268.877 170.511,268.914 170.539,268.952 170.567,268.99 170.594,269.028 170.622,269.066 \n",
       "  170.65,269.104 170.677,269.142 170.705,269.18 170.733,269.217 170.76,269.255 170.788,269.293 170.815,269.331 170.843,269.369 170.871,269.407 170.898,269.444 \n",
       "  170.926,269.482 170.954,269.52 170.981,269.558 171.009,269.596 171.037,269.633 171.064,269.671 171.092,269.709 171.119,269.747 171.147,269.784 171.175,269.822 \n",
       "  171.202,269.86 171.23,269.897 171.258,269.935 171.285,269.973 171.313,270.011 171.341,270.048 171.368,270.086 171.396,270.124 171.423,270.161 171.451,270.199 \n",
       "  171.479,270.237 171.506,270.274 171.534,270.312 171.562,270.35 171.589,270.387 171.617,270.425 171.645,270.462 171.672,270.5 171.7,270.538 171.727,270.575 \n",
       "  171.755,270.613 171.783,270.65 171.81,270.688 171.838,270.725 171.866,270.763 171.893,270.801 171.921,270.838 171.949,270.876 171.976,270.913 172.004,270.951 \n",
       "  172.031,270.988 172.059,271.026 172.087,271.063 172.114,271.101 172.142,271.138 172.17,271.176 172.197,271.213 172.225,271.251 172.253,271.288 172.28,271.325 \n",
       "  172.308,271.363 172.336,271.4 172.363,271.438 172.391,271.475 172.418,271.513 172.446,271.55 172.474,271.587 172.501,271.625 172.529,271.662 172.557,271.699 \n",
       "  172.584,271.737 172.612,271.774 172.64,271.812 172.667,271.849 172.695,271.886 172.722,271.924 172.75,271.961 172.778,271.998 172.805,272.035 172.833,272.073 \n",
       "  172.861,272.11 172.888,272.147 172.916,272.185 172.944,272.222 172.971,272.259 172.999,272.296 173.026,272.334 173.054,272.371 173.082,272.408 173.109,272.445 \n",
       "  173.137,272.483 173.165,272.52 173.192,272.557 173.22,272.594 173.248,272.631 173.275,272.669 173.303,272.706 173.33,272.743 173.358,272.78 173.386,272.817 \n",
       "  173.413,272.854 173.441,272.892 173.469,272.929 173.496,272.966 173.524,273.003 173.552,273.04 173.579,273.077 173.607,273.114 173.634,273.151 173.662,273.188 \n",
       "  173.69,273.225 173.717,273.263 173.745,273.3 173.773,273.337 173.8,273.374 173.828,273.411 173.856,273.448 173.883,273.485 173.911,273.522 173.939,273.559 \n",
       "  173.966,273.596 173.994,273.633 174.021,273.67 174.049,273.707 174.077,273.744 174.104,273.781 174.132,273.818 174.16,273.855 174.187,273.892 174.215,273.929 \n",
       "  174.243,273.966 174.27,274.002 174.298,274.039 174.325,274.076 174.353,274.113 174.381,274.15 174.408,274.187 174.436,274.224 174.464,274.261 174.491,274.298 \n",
       "  174.519,274.334 174.547,274.371 174.574,274.408 174.602,274.445 174.629,274.482 174.657,274.519 174.685,274.555 174.712,274.592 174.74,274.629 174.768,274.666 \n",
       "  174.795,274.703 174.823,274.739 174.851,274.776 174.878,274.813 174.906,274.85 174.933,274.886 174.961,274.923 174.989,274.96 175.016,274.997 175.044,275.033 \n",
       "  175.072,275.07 175.099,275.107 175.127,275.144 175.155,275.18 175.182,275.217 175.21,275.254 175.237,275.29 175.265,275.327 175.293,275.364 175.32,275.4 \n",
       "  175.348,275.437 175.376,275.474 175.403,275.51 175.431,275.547 175.459,275.583 175.486,275.62 175.514,275.657 175.541,275.693 175.569,275.73 175.597,275.766 \n",
       "  175.624,275.803 175.652,275.839 175.68,275.876 175.707,275.913 175.735,275.949 175.763,275.986 175.79,276.022 175.818,276.059 175.846,276.095 175.873,276.132 \n",
       "  175.901,276.168 175.928,276.205 175.956,276.241 175.984,276.278 176.011,276.314 176.039,276.351 176.067,276.387 176.094,276.424 176.122,276.46 176.15,276.496 \n",
       "  176.177,276.533 176.205,276.569 176.232,276.606 176.26,276.642 176.288,276.678 176.315,276.715 176.343,276.751 176.371,276.788 176.398,276.824 176.426,276.86 \n",
       "  176.454,276.897 176.481,276.933 176.509,276.969 176.536,277.006 176.564,277.042 176.592,277.078 176.619,277.115 176.647,277.151 176.675,277.187 176.702,277.224 \n",
       "  176.73,277.26 176.758,277.296 176.785,277.332 176.813,277.369 176.84,277.405 176.868,277.441 176.896,277.477 176.923,277.514 176.951,277.55 176.979,277.586 \n",
       "  177.006,277.622 177.034,277.658 177.062,277.695 177.089,277.731 177.117,277.767 177.144,277.803 177.172,277.839 177.2,277.876 177.227,277.912 177.255,277.948 \n",
       "  177.283,277.984 177.31,278.02 177.338,278.056 177.366,278.092 177.393,278.128 177.421,278.165 177.449,278.201 177.476,278.237 177.504,278.273 177.531,278.309 \n",
       "  177.559,278.345 177.587,278.381 177.614,278.417 177.642,278.453 177.67,278.489 177.697,278.525 177.725,278.561 177.753,278.597 177.78,278.633 177.808,278.669 \n",
       "  177.835,278.705 177.863,278.741 177.891,278.777 177.918,278.813 177.946,278.849 177.974,278.885 178.001,278.921 178.029,278.957 178.057,278.993 178.084,279.029 \n",
       "  178.112,279.065 178.139,279.101 178.167,279.137 178.195,279.173 178.222,279.208 178.25,279.244 178.278,279.28 178.305,279.316 178.333,279.352 178.361,279.388 \n",
       "  178.388,279.424 178.416,279.459 178.443,279.495 178.471,279.531 178.499,279.567 178.526,279.603 178.554,279.639 178.582,279.674 178.609,279.71 178.637,279.746 \n",
       "  178.665,279.782 178.692,279.818 178.72,279.853 178.747,279.889 178.775,279.925 178.803,279.961 178.83,279.996 178.858,280.032 178.886,280.068 178.913,280.103 \n",
       "  178.941,280.139 178.969,280.175 178.996,280.211 179.024,280.246 179.051,280.282 179.079,280.318 179.107,280.353 179.134,280.389 179.162,280.425 179.19,280.46 \n",
       "  179.217,280.496 179.245,280.531 179.273,280.567 179.3,280.603 179.328,280.638 179.356,280.674 179.383,280.709 179.411,280.745 179.438,280.781 179.466,280.816 \n",
       "  179.494,280.852 179.521,280.887 179.549,280.923 179.577,280.958 179.604,280.994 179.632,281.029 179.66,281.065 179.687,281.1 179.715,281.136 179.742,281.171 \n",
       "  179.77,281.207 179.798,281.242 179.825,281.278 179.853,281.313 179.881,281.349 179.908,281.384 179.936,281.42 179.964,281.455 179.991,281.491 180.019,281.526 \n",
       "  180.046,281.561 180.074,281.597 180.102,281.632 180.129,281.668 180.157,281.703 180.185,281.738 180.212,281.774 180.24,281.809 180.268,281.845 180.295,281.88 \n",
       "  180.323,281.915 180.35,281.951 180.378,281.986 180.406,282.021 180.433,282.057 180.461,282.092 180.489,282.127 180.516,282.162 180.544,282.198 180.572,282.233 \n",
       "  180.599,282.268 180.627,282.304 180.654,282.339 180.682,282.374 180.71,282.409 180.737,282.445 180.765,282.48 180.793,282.515 180.82,282.55 180.848,282.585 \n",
       "  180.876,282.621 180.903,282.656 180.931,282.691 180.959,282.726 180.986,282.761 181.014,282.797 181.041,282.832 181.069,282.867 181.097,282.902 181.124,282.937 \n",
       "  181.152,282.972 181.18,283.007 181.207,283.042 181.235,283.078 181.263,283.113 181.29,283.148 181.318,283.183 181.345,283.218 181.373,283.253 181.401,283.288 \n",
       "  181.428,283.323 181.456,283.358 181.484,283.393 181.511,283.428 181.539,283.463 181.567,283.498 181.594,283.533 181.622,283.568 181.649,283.603 181.677,283.638 \n",
       "  181.705,283.673 181.732,283.708 181.76,283.743 181.788,283.778 181.815,283.813 181.843,283.848 181.871,283.883 181.898,283.918 181.926,283.953 181.953,283.988 \n",
       "  181.981,284.023 182.009,284.058 182.036,284.093 182.064,284.127 182.092,284.162 182.119,284.197 182.147,284.232 182.175,284.267 182.202,284.302 182.23,284.337 \n",
       "  182.257,284.371 182.285,284.406 182.313,284.441 182.34,284.476 182.368,284.511 182.396,284.546 182.423,284.58 182.451,284.615 182.479,284.65 182.506,284.685 \n",
       "  182.534,284.719 182.561,284.754 182.589,284.789 182.617,284.824 182.644,284.858 182.672,284.893 182.7,284.928 182.727,284.963 182.755,284.997 182.783,285.032 \n",
       "  182.81,285.067 182.838,285.101 182.866,285.136 182.893,285.171 182.921,285.205 182.948,285.24 182.976,285.275 183.004,285.309 183.031,285.344 183.059,285.379 \n",
       "  183.087,285.413 183.114,285.448 183.142,285.483 183.17,285.517 183.197,285.552 183.225,285.586 183.252,285.621 183.28,285.655 183.308,285.69 183.335,285.725 \n",
       "  183.363,285.759 183.391,285.794 183.418,285.828 183.446,285.863 183.474,285.897 183.501,285.932 183.529,285.966 183.556,286.001 183.584,286.035 183.612,286.07 \n",
       "  183.639,286.104 183.667,286.139 183.695,286.173 183.722,286.208 183.75,286.242 183.778,286.277 183.805,286.311 183.833,286.345 183.86,286.38 183.888,286.414 \n",
       "  183.916,286.449 183.943,286.483 183.971,286.517 183.999,286.552 184.026,286.586 184.054,286.621 184.082,286.655 184.109,286.689 184.137,286.724 184.164,286.758 \n",
       "  184.192,286.792 184.22,286.827 184.247,286.861 184.275,286.895 184.303,286.93 184.33,286.964 184.358,286.998 184.386,287.033 184.413,287.067 184.441,287.101 \n",
       "  184.469,287.135 184.496,287.17 184.524,287.204 184.551,287.238 184.579,287.272 184.607,287.307 184.634,287.341 184.662,287.375 184.69,287.409 184.717,287.443 \n",
       "  184.745,287.478 184.773,287.512 184.8,287.546 184.828,287.58 184.855,287.614 184.883,287.648 184.911,287.683 184.938,287.717 184.966,287.751 184.994,287.785 \n",
       "  185.021,287.819 185.049,287.853 185.077,287.887 185.104,287.921 185.132,287.955 185.159,287.99 185.187,288.024 185.215,288.058 185.242,288.092 185.27,288.126 \n",
       "  185.298,288.16 185.325,288.194 185.353,288.228 185.381,288.262 185.408,288.296 185.436,288.33 185.463,288.364 185.491,288.398 185.519,288.432 185.546,288.466 \n",
       "  185.574,288.5 185.602,288.534 185.629,288.568 185.657,288.602 185.685,288.636 185.712,288.67 185.74,288.704 185.767,288.738 185.795,288.771 185.823,288.805 \n",
       "  185.85,288.839 185.878,288.873 185.906,288.907 185.933,288.941 185.961,288.975 185.989,289.009 186.016,289.043 186.044,289.076 186.071,289.11 186.099,289.144 \n",
       "  186.127,289.178 186.154,289.212 186.182,289.246 186.21,289.279 186.237,289.313 186.265,289.347 186.293,289.381 186.32,289.415 186.348,289.448 186.376,289.482 \n",
       "  186.403,289.516 186.431,289.55 186.458,289.583 186.486,289.617 186.514,289.651 186.541,289.685 186.569,289.718 186.597,289.752 186.624,289.786 186.652,289.819 \n",
       "  186.68,289.853 186.707,289.887 186.735,289.92 186.762,289.954 186.79,289.988 186.818,290.021 186.845,290.055 186.873,290.089 186.901,290.122 186.928,290.156 \n",
       "  186.956,290.19 186.984,290.223 187.011,290.257 187.039,290.29 187.066,290.324 187.094,290.357 187.122,290.391 187.149,290.425 187.177,290.458 187.205,290.492 \n",
       "  187.232,290.525 187.26,290.559 187.288,290.592 187.315,290.626 187.343,290.659 187.37,290.693 187.398,290.726 187.426,290.76 187.453,290.793 187.481,290.827 \n",
       "  187.509,290.86 187.536,290.894 187.564,290.927 187.592,290.961 187.619,290.994 187.647,291.028 187.674,291.061 187.702,291.094 187.73,291.128 187.757,291.161 \n",
       "  187.785,291.195 187.813,291.228 187.84,291.261 187.868,291.295 187.896,291.328 187.923,291.361 187.951,291.395 187.979,291.428 188.006,291.462 188.034,291.495 \n",
       "  188.061,291.528 188.089,291.561 188.117,291.595 188.144,291.628 188.172,291.661 188.2,291.695 188.227,291.728 188.255,291.761 188.283,291.795 188.31,291.828 \n",
       "  188.338,291.861 188.365,291.894 188.393,291.928 188.421,291.961 188.448,291.994 188.476,292.027 188.504,292.06 188.531,292.094 188.559,292.127 188.587,292.16 \n",
       "  188.614,292.193 188.642,292.226 188.669,292.26 188.697,292.293 188.725,292.326 188.752,292.359 188.78,292.392 188.808,292.425 188.835,292.458 188.863,292.491 \n",
       "  188.891,292.525 188.918,292.558 188.946,292.591 188.973,292.624 189.001,292.657 189.029,292.69 189.056,292.723 189.084,292.756 189.112,292.789 189.139,292.822 \n",
       "  189.167,292.855 189.195,292.888 189.222,292.921 189.25,292.954 189.277,292.987 189.305,293.02 189.333,293.053 189.36,293.086 189.388,293.119 189.416,293.152 \n",
       "  189.443,293.185 189.471,293.218 189.499,293.251 189.526,293.284 189.554,293.317 189.581,293.35 189.609,293.383 189.637,293.416 189.664,293.449 189.692,293.482 \n",
       "  189.72,293.515 189.747,293.547 189.775,293.58 189.803,293.613 189.83,293.646 189.858,293.679 189.886,293.712 189.913,293.745 189.941,293.777 189.968,293.81 \n",
       "  189.996,293.843 190.024,293.876 190.051,293.909 190.079,293.941 190.107,293.974 190.134,294.007 190.162,294.04 190.19,294.073 190.217,294.105 190.245,294.138 \n",
       "  190.272,294.171 190.3,294.204 190.328,294.236 190.355,294.269 190.383,294.302 190.411,294.334 190.438,294.367 190.466,294.4 190.494,294.433 190.521,294.465 \n",
       "  190.549,294.498 190.576,294.531 190.604,294.563 190.632,294.596 190.659,294.629 190.687,294.661 190.715,294.694 190.742,294.726 190.77,294.759 190.798,294.792 \n",
       "  190.825,294.824 190.853,294.857 190.88,294.89 190.908,294.922 190.936,294.955 190.963,294.987 190.991,295.02 191.019,295.052 191.046,295.085 191.074,295.117 \n",
       "  191.102,295.15 191.129,295.182 191.157,295.215 191.184,295.248 191.212,295.28 191.24,295.313 191.267,295.345 191.295,295.377 191.323,295.41 191.35,295.442 \n",
       "  191.378,295.475 191.406,295.507 191.433,295.54 191.461,295.572 191.489,295.605 191.516,295.637 191.544,295.67 191.571,295.702 191.599,295.734 191.627,295.767 \n",
       "  191.654,295.799 191.682,295.831 191.71,295.864 191.737,295.896 191.765,295.929 191.793,295.961 191.82,295.993 191.848,296.026 191.875,296.058 191.903,296.09 \n",
       "  191.931,296.123 191.958,296.155 191.986,296.187 192.014,296.219 192.041,296.252 192.069,296.284 192.097,296.316 192.124,296.349 192.152,296.381 192.179,296.413 \n",
       "  192.207,296.445 192.235,296.478 192.262,296.51 192.29,296.542 192.318,296.574 192.345,296.606 192.373,296.639 192.401,296.671 192.428,296.703 192.456,296.735 \n",
       "  192.483,296.767 192.511,296.8 192.539,296.832 192.566,296.864 192.594,296.896 192.622,296.928 192.649,296.96 192.677,296.992 192.705,297.025 192.732,297.057 \n",
       "  192.76,297.089 192.787,297.121 192.815,297.153 192.843,297.185 192.87,297.217 192.898,297.249 192.926,297.281 192.953,297.313 192.981,297.345 193.009,297.377 \n",
       "  193.036,297.409 193.064,297.441 193.091,297.473 193.119,297.505 193.147,297.537 193.174,297.569 193.202,297.601 193.23,297.633 193.257,297.665 193.285,297.697 \n",
       "  193.313,297.729 193.34,297.761 193.368,297.793 193.396,297.825 193.423,297.857 193.451,297.889 193.478,297.921 193.506,297.953 193.534,297.985 193.561,298.016 \n",
       "  193.589,298.048 193.617,298.08 193.644,298.112 193.672,298.144 193.7,298.176 193.727,298.208 193.755,298.24 193.782,298.271 193.81,298.303 193.838,298.335 \n",
       "  193.865,298.367 193.893,298.399 193.921,298.43 193.948,298.462 193.976,298.494 194.004,298.526 194.031,298.558 194.059,298.589 194.086,298.621 194.114,298.653 \n",
       "  194.142,298.685 194.169,298.716 194.197,298.748 194.225,298.78 194.252,298.811 194.28,298.843 194.308,298.875 194.335,298.906 194.363,298.938 194.39,298.97 \n",
       "  194.418,299.001 194.446,299.033 194.473,299.065 194.501,299.096 194.529,299.128 194.556,299.16 194.584,299.191 194.612,299.223 194.639,299.255 194.667,299.286 \n",
       "  194.694,299.318 194.722,299.349 194.75,299.381 194.777,299.413 194.805,299.444 194.833,299.476 194.86,299.507 194.888,299.539 194.916,299.57 194.943,299.602 \n",
       "  194.971,299.633 194.999,299.665 195.026,299.696 195.054,299.728 195.081,299.759 195.109,299.791 195.137,299.822 195.164,299.854 195.192,299.885 195.22,299.917 \n",
       "  195.247,299.948 195.275,299.98 195.303,300.011 195.33,300.042 195.358,300.074 195.385,300.105 195.413,300.137 195.441,300.168 195.468,300.199 195.496,300.231 \n",
       "  195.524,300.262 195.551,300.294 195.579,300.325 195.607,300.356 195.634,300.388 195.662,300.419 195.689,300.45 195.717,300.482 195.745,300.513 195.772,300.544 \n",
       "  195.8,300.576 195.828,300.607 195.855,300.638 195.883,300.67 195.911,300.701 195.938,300.732 195.966,300.763 195.993,300.795 196.021,300.826 196.049,300.857 \n",
       "  196.076,300.888 196.104,300.92 196.132,300.951 196.159,300.982 196.187,301.013 196.215,301.044 196.242,301.076 196.27,301.107 196.297,301.138 196.325,301.169 \n",
       "  196.353,301.2 196.38,301.231 196.408,301.263 196.436,301.294 196.463,301.325 196.491,301.356 196.519,301.387 196.546,301.418 196.574,301.449 196.601,301.48 \n",
       "  196.629,301.511 196.657,301.543 196.684,301.574 196.712,301.605 196.74,301.636 196.767,301.667 196.795,301.698 196.823,301.729 196.85,301.76 196.878,301.791 \n",
       "  196.906,301.822 196.933,301.853 196.961,301.884 196.988,301.915 197.016,301.946 197.044,301.977 197.071,302.008 197.099,302.039 197.127,302.07 197.154,302.101 \n",
       "  197.182,302.132 197.21,302.163 197.237,302.194 197.265,302.225 197.292,302.255 197.32,302.286 197.348,302.317 197.375,302.348 197.403,302.379 197.431,302.41 \n",
       "  197.458,302.441 197.486,302.472 197.514,302.503 197.541,302.533 197.569,302.564 197.596,302.595 197.624,302.626 197.652,302.657 197.679,302.688 197.707,302.718 \n",
       "  197.735,302.749 197.762,302.78 197.79,302.811 197.818,302.842 197.845,302.872 197.873,302.903 197.9,302.934 197.928,302.965 197.956,302.995 197.983,303.026 \n",
       "  198.011,303.057 198.039,303.088 198.066,303.118 198.094,303.149 198.122,303.18 198.149,303.21 198.177,303.241 198.204,303.272 198.232,303.302 198.26,303.333 \n",
       "  198.287,303.364 198.315,303.394 198.343,303.425 198.37,303.456 198.398,303.486 198.426,303.517 198.453,303.547 198.481,303.578 198.509,303.609 198.536,303.639 \n",
       "  198.564,303.67 198.591,303.7 198.619,303.731 198.647,303.762 198.674,303.792 198.702,303.823 198.73,303.853 198.757,303.884 198.785,303.914 198.813,303.945 \n",
       "  198.84,303.975 198.868,304.006 198.895,304.036 198.923,304.067 198.951,304.097 198.978,304.128 199.006,304.158 199.034,304.189 199.061,304.219 199.089,304.25 \n",
       "  199.117,304.28 199.144,304.31 199.172,304.341 199.199,304.371 199.227,304.402 199.255,304.432 199.282,304.463 199.31,304.493 199.338,304.523 199.365,304.554 \n",
       "  199.393,304.584 199.421,304.614 199.448,304.645 199.476,304.675 199.503,304.705 199.531,304.736 199.559,304.766 199.586,304.796 199.614,304.827 199.642,304.857 \n",
       "  199.669,304.887 199.697,304.918 199.725,304.948 199.752,304.978 199.78,305.008 199.807,305.039 199.835,305.069 199.863,305.099 199.89,305.129 199.918,305.16 \n",
       "  199.946,305.19 199.973,305.22 200.001,305.25 200.029,305.281 200.056,305.311 200.084,305.341 200.111,305.371 200.139,305.401 200.167,305.431 200.194,305.462 \n",
       "  200.222,305.492 200.25,305.522 200.277,305.552 200.305,305.582 200.333,305.612 200.36,305.642 200.388,305.673 200.416,305.703 200.443,305.733 200.471,305.763 \n",
       "  200.498,305.793 200.526,305.823 200.554,305.853 200.581,305.883 200.609,305.913 200.637,305.943 200.664,305.973 200.692,306.003 200.72,306.033 200.747,306.063 \n",
       "  200.775,306.093 200.802,306.123 200.83,306.153 200.858,306.183 200.885,306.213 200.913,306.243 200.941,306.273 200.968,306.303 200.996,306.333 201.024,306.363 \n",
       "  201.051,306.393 201.079,306.423 201.106,306.453 201.134,306.483 201.162,306.513 201.189,306.543 201.217,306.572 201.245,306.602 201.272,306.632 201.3,306.662 \n",
       "  201.328,306.692 201.355,306.722 201.383,306.752 201.41,306.781 201.438,306.811 201.466,306.841 201.493,306.871 201.521,306.901 201.549,306.931 201.576,306.96 \n",
       "  201.604,306.99 201.632,307.02 201.659,307.05 201.687,307.08 201.714,307.109 201.742,307.139 201.77,307.169 201.797,307.199 201.825,307.228 201.853,307.258 \n",
       "  201.88,307.288 201.908,307.317 201.936,307.347 201.963,307.377 201.991,307.407 202.019,307.436 202.046,307.466 202.074,307.496 202.101,307.525 202.129,307.555 \n",
       "  202.157,307.585 202.184,307.614 202.212,307.644 202.24,307.673 202.267,307.703 202.295,307.733 202.323,307.762 202.35,307.792 202.378,307.821 202.405,307.851 \n",
       "  202.433,307.881 202.461,307.91 202.488,307.94 202.516,307.969 202.544,307.999 202.571,308.028 202.599,308.058 202.627,308.087 202.654,308.117 202.682,308.146 \n",
       "  202.709,308.176 202.737,308.205 202.765,308.235 202.792,308.264 202.82,308.294 202.848,308.323 202.875,308.353 202.903,308.382 202.931,308.412 202.958,308.441 \n",
       "  202.986,308.471 203.013,308.5 203.041,308.529 203.069,308.559 203.096,308.588 203.124,308.618 203.152,308.647 203.179,308.676 203.207,308.706 203.235,308.735 \n",
       "  203.262,308.764 203.29,308.794 203.317,308.823 203.345,308.853 203.373,308.882 203.4,308.911 203.428,308.94 203.456,308.97 203.483,308.999 203.511,309.028 \n",
       "  203.539,309.058 203.566,309.087 203.594,309.116 203.621,309.145 203.649,309.175 203.677,309.204 203.704,309.233 203.732,309.262 203.76,309.292 203.787,309.321 \n",
       "  203.815,309.35 203.843,309.379 203.87,309.409 203.898,309.438 203.926,309.467 203.953,309.496 203.981,309.525 204.008,309.554 204.036,309.584 204.064,309.613 \n",
       "  204.091,309.642 204.119,309.671 204.147,309.7 204.174,309.729 204.202,309.758 204.23,309.788 204.257,309.817 204.285,309.846 204.312,309.875 204.34,309.904 \n",
       "  204.368,309.933 204.395,309.962 204.423,309.991 204.451,310.02 204.478,310.049 204.506,310.078 204.534,310.107 204.561,310.136 204.589,310.165 204.616,310.194 \n",
       "  204.644,310.223 204.672,310.252 204.699,310.281 204.727,310.31 204.755,310.339 204.782,310.368 204.81,310.397 204.838,310.426 204.865,310.455 204.893,310.484 \n",
       "  204.92,310.513 204.948,310.542 204.976,310.571 205.003,310.6 205.031,310.628 205.059,310.657 205.086,310.686 205.114,310.715 205.142,310.744 205.169,310.773 \n",
       "  205.197,310.802 205.224,310.831 205.252,310.859 205.28,310.888 205.307,310.917 205.335,310.946 205.363,310.975 205.39,311.003 205.418,311.032 205.446,311.061 \n",
       "  205.473,311.09 205.501,311.119 205.529,311.147 205.556,311.176 205.584,311.205 205.611,311.234 205.639,311.262 205.667,311.291 205.694,311.32 205.722,311.349 \n",
       "  205.75,311.377 205.777,311.406 205.805,311.435 205.833,311.463 205.86,311.492 205.888,311.521 205.915,311.549 205.943,311.578 205.971,311.607 205.998,311.635 \n",
       "  206.026,311.664 206.054,311.693 206.081,311.721 206.109,311.75 206.137,311.778 206.164,311.807 206.192,311.836 206.219,311.864 206.247,311.893 206.275,311.921 \n",
       "  206.302,311.95 206.33,311.978 206.358,312.007 206.385,312.036 206.413,312.064 206.441,312.093 206.468,312.121 206.496,312.15 206.523,312.178 206.551,312.207 \n",
       "  206.579,312.235 206.606,312.264 206.634,312.292 206.662,312.321 206.689,312.349 206.717,312.378 206.745,312.406 206.772,312.434 206.8,312.463 206.827,312.491 \n",
       "  206.855,312.52 206.883,312.548 206.91,312.577 206.938,312.605 206.966,312.633 206.993,312.662 207.021,312.69 207.049,312.718 207.076,312.747 207.104,312.775 \n",
       "  207.131,312.804 207.159,312.832 207.187,312.86 207.214,312.889 207.242,312.917 207.27,312.945 207.297,312.973 207.325,313.002 207.353,313.03 207.38,313.058 \n",
       "  207.408,313.087 207.436,313.115 207.463,313.143 207.491,313.171 207.518,313.2 207.546,313.228 207.574,313.256 207.601,313.284 207.629,313.313 207.657,313.341 \n",
       "  207.684,313.369 207.712,313.397 207.74,313.425 207.767,313.454 207.795,313.482 207.822,313.51 207.85,313.538 207.878,313.566 207.905,313.594 207.933,313.623 \n",
       "  207.961,313.651 207.988,313.679 208.016,313.707 208.044,313.735 208.071,313.763 208.099,313.791 208.126,313.819 208.154,313.847 208.182,313.875 208.209,313.904 \n",
       "  208.237,313.932 208.265,313.96 208.292,313.988 208.32,314.016 208.348,314.044 208.375,314.072 208.403,314.1 208.43,314.128 208.458,314.156 208.486,314.184 \n",
       "  208.513,314.212 208.541,314.24 208.569,314.268 208.596,314.296 208.624,314.324 208.652,314.352 208.679,314.38 208.707,314.408 208.734,314.435 208.762,314.463 \n",
       "  208.79,314.491 208.817,314.519 208.845,314.547 208.873,314.575 208.9,314.603 208.928,314.631 208.956,314.659 208.983,314.687 209.011,314.714 209.039,314.742 \n",
       "  209.066,314.77 209.094,314.798 209.121,314.826 209.149,314.854 209.177,314.881 209.204,314.909 209.232,314.937 209.26,314.965 209.287,314.993 209.315,315.02 \n",
       "  209.343,315.048 209.37,315.076 209.398,315.104 209.425,315.131 209.453,315.159 209.481,315.187 209.508,315.215 209.536,315.242 209.564,315.27 209.591,315.298 \n",
       "  209.619,315.325 209.647,315.353 209.674,315.381 209.702,315.408 209.729,315.436 209.757,315.464 209.785,315.491 209.812,315.519 209.84,315.547 209.868,315.574 \n",
       "  209.895,315.602 209.923,315.63 209.951,315.657 209.978,315.685 210.006,315.712 210.033,315.74 210.061,315.768 210.089,315.795 210.116,315.823 210.144,315.85 \n",
       "  210.172,315.878 210.199,315.905 210.227,315.933 210.255,315.961 210.282,315.988 210.31,316.016 210.337,316.043 210.365,316.071 210.393,316.098 210.42,316.126 \n",
       "  210.448,316.153 210.476,316.181 210.503,316.208 210.531,316.235 210.559,316.263 210.586,316.29 210.614,316.318 210.641,316.345 210.669,316.373 210.697,316.4 \n",
       "  210.724,316.428 210.752,316.455 210.78,316.482 210.807,316.51 210.835,316.537 210.863,316.564 210.89,316.592 210.918,316.619 210.946,316.647 210.973,316.674 \n",
       "  211.001,316.701 211.028,316.729 211.056,316.756 211.084,316.783 211.111,316.811 211.139,316.838 211.167,316.865 211.194,316.892 211.222,316.92 211.25,316.947 \n",
       "  211.277,316.974 211.305,317.002 211.332,317.029 211.36,317.056 211.388,317.083 211.415,317.11 211.443,317.138 211.471,317.165 211.498,317.192 211.526,317.219 \n",
       "  211.554,317.247 211.581,317.274 211.609,317.301 211.636,317.328 211.664,317.355 211.692,317.382 211.719,317.41 211.747,317.437 211.775,317.464 211.802,317.491 \n",
       "  211.83,317.518 211.858,317.545 211.885,317.572 211.913,317.599 211.94,317.626 211.968,317.654 211.996,317.681 212.023,317.708 212.051,317.735 212.079,317.762 \n",
       "  212.106,317.789 212.134,317.816 212.162,317.843 212.189,317.87 212.217,317.897 212.244,317.924 212.272,317.951 212.3,317.978 212.327,318.005 212.355,318.032 \n",
       "  212.383,318.059 212.41,318.086 212.438,318.113 212.466,318.14 212.493,318.167 212.521,318.194 212.549,318.221 212.576,318.248 212.604,318.275 212.631,318.302 \n",
       "  212.659,318.328 212.687,318.355 212.714,318.382 212.742,318.409 212.77,318.436 212.797,318.463 212.825,318.49 212.853,318.517 212.88,318.543 212.908,318.57 \n",
       "  212.935,318.597 212.963,318.624 212.991,318.651 213.018,318.678 213.046,318.704 213.074,318.731 213.101,318.758 213.129,318.785 213.157,318.812 213.184,318.838 \n",
       "  213.212,318.865 213.239,318.892 213.267,318.919 213.295,318.945 213.322,318.972 213.35,318.999 213.378,319.025 213.405,319.052 213.433,319.079 213.461,319.106 \n",
       "  213.488,319.132 213.516,319.159 213.543,319.186 213.571,319.212 213.599,319.239 213.626,319.266 213.654,319.292 213.682,319.319 213.709,319.346 213.737,319.372 \n",
       "  213.765,319.399 213.792,319.425 213.82,319.452 213.847,319.479 213.875,319.505 213.903,319.532 213.93,319.558 213.958,319.585 213.986,319.611 214.013,319.638 \n",
       "  214.041,319.665 214.069,319.691 214.096,319.718 214.124,319.744 214.151,319.771 214.179,319.797 214.207,319.824 214.234,319.85 214.262,319.877 214.29,319.903 \n",
       "  214.317,319.93 214.345,319.956 214.373,319.983 214.4,320.009 214.428,320.035 214.456,320.062 214.483,320.088 214.511,320.115 214.538,320.141 214.566,320.168 \n",
       "  214.594,320.194 214.621,320.22 214.649,320.247 214.677,320.273 214.704,320.299 214.732,320.326 214.76,320.352 214.787,320.379 214.815,320.405 214.842,320.431 \n",
       "  214.87,320.458 214.898,320.484 214.925,320.51 214.953,320.537 214.981,320.563 215.008,320.589 215.036,320.615 215.064,320.642 215.091,320.668 215.119,320.694 \n",
       "  215.146,320.72 215.174,320.747 215.202,320.773 215.229,320.799 215.257,320.825 215.285,320.852 215.312,320.878 215.34,320.904 215.368,320.93 215.395,320.956 \n",
       "  215.423,320.983 215.45,321.009 215.478,321.035 215.506,321.061 215.533,321.087 215.561,321.113 215.589,321.14 215.616,321.166 215.644,321.192 215.672,321.218 \n",
       "  215.699,321.244 215.727,321.27 215.754,321.296 215.782,321.322 215.81,321.349 215.837,321.375 215.865,321.401 215.893,321.427 215.92,321.453 215.948,321.479 \n",
       "  215.976,321.505 216.003,321.531 216.031,321.557 216.059,321.583 216.086,321.609 216.114,321.635 216.141,321.661 216.169,321.687 216.197,321.713 216.224,321.739 \n",
       "  216.252,321.765 216.28,321.791 216.307,321.817 216.335,321.843 216.363,321.869 216.39,321.895 216.418,321.921 216.445,321.946 216.473,321.972 216.501,321.998 \n",
       "  216.528,322.024 216.556,322.05 216.584,322.076 216.611,322.102 216.639,322.128 216.667,322.154 216.694,322.179 216.722,322.205 216.749,322.231 216.777,322.257 \n",
       "  216.805,322.283 216.832,322.309 216.86,322.334 216.888,322.36 216.915,322.386 216.943,322.412 216.971,322.438 216.998,322.463 217.026,322.489 217.053,322.515 \n",
       "  217.081,322.541 217.109,322.566 217.136,322.592 217.164,322.618 217.192,322.644 217.219,322.669 217.247,322.695 217.275,322.721 217.302,322.746 217.33,322.772 \n",
       "  217.357,322.798 217.385,322.823 217.413,322.849 217.44,322.875 217.468,322.9 217.496,322.926 217.523,322.952 217.551,322.977 217.579,323.003 217.606,323.029 \n",
       "  217.634,323.054 217.661,323.08 217.689,323.105 217.717,323.131 217.744,323.156 217.772,323.182 217.8,323.208 217.827,323.233 217.855,323.259 217.883,323.284 \n",
       "  217.91,323.31 217.938,323.335 217.966,323.361 217.993,323.386 218.021,323.412 218.048,323.437 218.076,323.463 218.104,323.488 218.131,323.514 218.159,323.539 \n",
       "  218.187,323.565 218.214,323.59 218.242,323.616 218.27,323.641 218.297,323.667 218.325,323.692 218.352,323.717 218.38,323.743 218.408,323.768 218.435,323.794 \n",
       "  218.463,323.819 218.491,323.844 218.518,323.87 218.546,323.895 218.574,323.921 218.601,323.946 218.629,323.971 218.656,323.997 218.684,324.022 218.712,324.047 \n",
       "  218.739,324.073 218.767,324.098 218.795,324.123 218.822,324.148 218.85,324.174 218.878,324.199 218.905,324.224 218.933,324.25 218.96,324.275 218.988,324.3 \n",
       "  219.016,324.325 219.043,324.351 219.071,324.376 219.099,324.401 219.126,324.426 219.154,324.451 219.182,324.477 219.209,324.502 219.237,324.527 219.264,324.552 \n",
       "  219.292,324.577 219.32,324.603 219.347,324.628 219.375,324.653 219.403,324.678 219.43,324.703 219.458,324.728 219.486,324.753 219.513,324.779 219.541,324.804 \n",
       "  219.569,324.829 219.596,324.854 219.624,324.879 219.651,324.904 219.679,324.929 219.707,324.954 219.734,324.979 219.762,325.004 219.79,325.029 219.817,325.054 \n",
       "  219.845,325.079 219.873,325.104 219.9,325.129 219.928,325.154 219.955,325.179 219.983,325.204 220.011,325.229 220.038,325.254 220.066,325.279 220.094,325.304 \n",
       "  220.121,325.329 220.149,325.354 220.177,325.379 220.204,325.404 220.232,325.429 220.259,325.454 220.287,325.479 220.315,325.504 220.342,325.529 220.37,325.554 \n",
       "  220.398,325.579 220.425,325.603 220.453,325.628 220.481,325.653 220.508,325.678 220.536,325.703 220.563,325.728 220.591,325.753 220.619,325.777 220.646,325.802 \n",
       "  220.674,325.827 220.702,325.852 220.729,325.877 220.757,325.901 220.785,325.926 220.812,325.951 220.84,325.976 220.867,326.001 220.895,326.025 220.923,326.05 \n",
       "  220.95,326.075 220.978,326.1 221.006,326.124 221.033,326.149 221.061,326.174 221.089,326.198 221.116,326.223 221.144,326.248 221.171,326.272 221.199,326.297 \n",
       "  221.227,326.322 221.254,326.346 221.282,326.371 221.31,326.396 221.337,326.42 221.365,326.445 221.393,326.47 221.42,326.494 221.448,326.519 221.476,326.544 \n",
       "  221.503,326.568 221.531,326.593 221.558,326.617 221.586,326.642 221.614,326.666 221.641,326.691 221.669,326.716 221.697,326.74 221.724,326.765 221.752,326.789 \n",
       "  221.78,326.814 221.807,326.838 221.835,326.863 221.862,326.887 221.89,326.912 221.918,326.936 221.945,326.961 221.973,326.985 222.001,327.01 222.028,327.034 \n",
       "  222.056,327.059 222.084,327.083 222.111,327.107 222.139,327.132 222.166,327.156 222.194,327.181 222.222,327.205 222.249,327.23 222.277,327.254 222.305,327.278 \n",
       "  222.332,327.303 222.36,327.327 222.388,327.351 222.415,327.376 222.443,327.4 222.47,327.425 222.498,327.449 222.526,327.473 222.553,327.498 222.581,327.522 \n",
       "  222.609,327.546 222.636,327.57 222.664,327.595 222.692,327.619 222.719,327.643 222.747,327.668 222.774,327.692 222.802,327.716 222.83,327.74 222.857,327.765 \n",
       "  222.885,327.789 222.913,327.813 222.94,327.837 222.968,327.862 222.996,327.886 223.023,327.91 223.051,327.934 223.079,327.958 223.106,327.983 223.134,328.007 \n",
       "  223.161,328.031 223.189,328.055 223.217,328.079 223.244,328.103 223.272,328.127 223.3,328.152 223.327,328.176 223.355,328.2 223.383,328.224 223.41,328.248 \n",
       "  223.438,328.272 223.465,328.296 223.493,328.32 223.521,328.344 223.548,328.368 223.576,328.392 223.604,328.417 223.631,328.441 223.659,328.465 223.687,328.489 \n",
       "  223.714,328.513 223.742,328.537 223.769,328.561 223.797,328.585 223.825,328.609 223.852,328.633 223.88,328.657 223.908,328.681 223.935,328.705 223.963,328.729 \n",
       "  223.991,328.752 224.018,328.776 224.046,328.8 224.073,328.824 224.101,328.848 224.129,328.872 224.156,328.896 224.184,328.92 224.212,328.944 224.239,328.968 \n",
       "  224.267,328.992 224.295,329.015 224.322,329.039 224.35,329.063 224.377,329.087 224.405,329.111 224.433,329.135 224.46,329.159 224.488,329.182 224.516,329.206 \n",
       "  224.543,329.23 224.571,329.254 224.599,329.278 224.626,329.301 224.654,329.325 224.681,329.349 224.709,329.373 224.737,329.396 224.764,329.42 224.792,329.444 \n",
       "  224.82,329.468 224.847,329.491 224.875,329.515 224.903,329.539 224.93,329.562 224.958,329.586 224.986,329.61 225.013,329.634 225.041,329.657 225.068,329.681 \n",
       "  225.096,329.705 225.124,329.728 225.151,329.752 225.179,329.775 225.207,329.799 225.234,329.823 225.262,329.846 225.29,329.87 225.317,329.894 225.345,329.917 \n",
       "  225.372,329.941 225.4,329.964 225.428,329.988 225.455,330.011 225.483,330.035 225.511,330.059 225.538,330.082 225.566,330.106 225.594,330.129 225.621,330.153 \n",
       "  225.649,330.176 225.676,330.2 225.704,330.223 225.732,330.247 225.759,330.27 225.787,330.294 225.815,330.317 225.842,330.341 225.87,330.364 225.898,330.388 \n",
       "  225.925,330.411 225.953,330.434 225.98,330.458 226.008,330.481 226.036,330.505 226.063,330.528 226.091,330.552 226.119,330.575 226.146,330.598 226.174,330.622 \n",
       "  226.202,330.645 226.229,330.668 226.257,330.692 226.284,330.715 226.312,330.738 226.34,330.762 226.367,330.785 226.395,330.808 226.423,330.832 226.45,330.855 \n",
       "  226.478,330.878 226.506,330.902 226.533,330.925 226.561,330.948 226.589,330.972 226.616,330.995 226.644,331.018 226.671,331.041 226.699,331.065 226.727,331.088 \n",
       "  226.754,331.111 226.782,331.134 226.81,331.157 226.837,331.181 226.865,331.204 226.893,331.227 226.92,331.25 226.948,331.273 226.975,331.297 227.003,331.32 \n",
       "  227.031,331.343 227.058,331.366 227.086,331.389 227.114,331.412 227.141,331.435 227.169,331.459 227.197,331.482 227.224,331.505 227.252,331.528 227.279,331.551 \n",
       "  227.307,331.574 227.335,331.597 227.362,331.62 227.39,331.643 227.418,331.666 227.445,331.689 227.473,331.712 227.501,331.735 227.528,331.758 227.556,331.781 \n",
       "  227.583,331.805 227.611,331.828 227.639,331.851 227.666,331.874 227.694,331.896 227.722,331.919 227.749,331.942 227.777,331.965 227.805,331.988 227.832,332.011 \n",
       "  227.86,332.034 227.887,332.057 227.915,332.08 227.943,332.103 227.97,332.126 227.998,332.149 228.026,332.172 228.053,332.195 228.081,332.217 228.109,332.24 \n",
       "  228.136,332.263 228.164,332.286 228.191,332.309 228.219,332.332 228.247,332.355 228.274,332.377 228.302,332.4 228.33,332.423 228.357,332.446 228.385,332.469 \n",
       "  228.413,332.492 228.44,332.514 228.468,332.537 228.496,332.56 228.523,332.583 228.551,332.605 228.578,332.628 228.606,332.651 228.634,332.674 228.661,332.696 \n",
       "  228.689,332.719 228.717,332.742 228.744,332.764 228.772,332.787 228.8,332.81 228.827,332.833 228.855,332.855 228.882,332.878 228.91,332.901 228.938,332.923 \n",
       "  228.965,332.946 228.993,332.969 229.021,332.991 229.048,333.014 229.076,333.036 229.104,333.059 229.131,333.082 229.159,333.104 229.186,333.127 229.214,333.149 \n",
       "  229.242,333.172 229.269,333.195 229.297,333.217 229.325,333.24 229.352,333.262 229.38,333.285 229.408,333.307 229.435,333.33 229.463,333.352 229.49,333.375 \n",
       "  229.518,333.397 229.546,333.42 229.573,333.442 229.601,333.465 229.629,333.487 229.656,333.51 229.684,333.532 229.712,333.555 229.739,333.577 229.767,333.6 \n",
       "  229.794,333.622 229.822,333.645 229.85,333.667 229.877,333.689 229.905,333.712 229.933,333.734 229.96,333.757 229.988,333.779 230.016,333.801 230.043,333.824 \n",
       "  230.071,333.846 230.099,333.868 230.126,333.891 230.154,333.913 230.181,333.935 230.209,333.958 230.237,333.98 230.264,334.002 230.292,334.025 230.32,334.047 \n",
       "  230.347,334.069 230.375,334.092 230.403,334.114 230.43,334.136 230.458,334.158 230.485,334.181 230.513,334.203 230.541,334.225 230.568,334.247 230.596,334.27 \n",
       "  230.624,334.292 230.651,334.314 230.679,334.336 230.707,334.358 230.734,334.381 230.762,334.403 230.789,334.425 230.817,334.447 230.845,334.469 230.872,334.491 \n",
       "  230.9,334.514 230.928,334.536 230.955,334.558 230.983,334.58 231.011,334.602 231.038,334.624 231.066,334.646 231.093,334.668 231.121,334.69 231.149,334.713 \n",
       "  231.176,334.735 231.204,334.757 231.232,334.779 231.259,334.801 231.287,334.823 231.315,334.845 231.342,334.867 231.37,334.889 231.397,334.911 231.425,334.933 \n",
       "  231.453,334.955 231.48,334.977 231.508,334.999 231.536,335.021 231.563,335.043 231.591,335.065 231.619,335.087 231.646,335.109 231.674,335.131 231.701,335.153 \n",
       "  231.729,335.175 231.757,335.197 231.784,335.218 231.812,335.24 231.84,335.262 231.867,335.284 231.895,335.306 231.923,335.328 231.95,335.35 231.978,335.372 \n",
       "  232.006,335.394 232.033,335.415 232.061,335.437 232.088,335.459 232.116,335.481 232.144,335.503 232.171,335.525 232.199,335.546 232.227,335.568 232.254,335.59 \n",
       "  232.282,335.612 232.31,335.633 232.337,335.655 232.365,335.677 232.392,335.699 232.42,335.721 232.448,335.742 232.475,335.764 232.503,335.786 232.531,335.807 \n",
       "  232.558,335.829 232.586,335.851 232.614,335.873 232.641,335.894 232.669,335.916 232.696,335.938 232.724,335.959 232.752,335.981 232.779,336.003 232.807,336.024 \n",
       "  232.835,336.046 232.862,336.068 232.89,336.089 232.918,336.111 232.945,336.132 232.973,336.154 233,336.176 233.028,336.197 233.056,336.219 233.083,336.24 \n",
       "  233.111,336.262 233.139,336.283 233.166,336.305 233.194,336.327 233.222,336.348 233.249,336.37 233.277,336.391 233.304,336.413 233.332,336.434 233.36,336.456 \n",
       "  233.387,336.477 233.415,336.499 233.443,336.52 233.47,336.542 233.498,336.563 233.526,336.585 233.553,336.606 233.581,336.628 233.609,336.649 233.636,336.67 \n",
       "  233.664,336.692 233.691,336.713 233.719,336.735 233.747,336.756 233.774,336.777 233.802,336.799 233.83,336.82 233.857,336.842 233.885,336.863 233.913,336.884 \n",
       "  233.94,336.906 233.968,336.927 233.995,336.948 234.023,336.97 234.051,336.991 234.078,337.012 234.106,337.034 234.134,337.055 234.161,337.076 234.189,337.098 \n",
       "  234.217,337.119 234.244,337.14 234.272,337.161 234.299,337.183 234.327,337.204 234.355,337.225 234.382,337.246 234.41,337.268 234.438,337.289 234.465,337.31 \n",
       "  234.493,337.331 234.521,337.352 234.548,337.374 234.576,337.395 234.603,337.416 234.631,337.437 234.659,337.458 234.686,337.479 234.714,337.501 234.742,337.522 \n",
       "  234.769,337.543 234.797,337.564 234.825,337.585 234.852,337.606 234.88,337.627 234.907,337.648 234.935,337.67 234.963,337.691 234.99,337.712 235.018,337.733 \n",
       "  235.046,337.754 235.073,337.775 235.101,337.796 235.129,337.817 235.156,337.838 235.184,337.859 235.211,337.88 235.239,337.901 235.267,337.922 235.294,337.943 \n",
       "  235.322,337.964 235.35,337.985 235.377,338.006 235.405,338.027 235.433,338.048 235.46,338.069 235.488,338.09 235.516,338.111 235.543,338.132 235.571,338.153 \n",
       "  235.598,338.174 235.626,338.195 235.654,338.215 235.681,338.236 235.709,338.257 235.737,338.278 235.764,338.299 235.792,338.32 235.82,338.341 235.847,338.362 \n",
       "  235.875,338.382 235.902,338.403 235.93,338.424 235.958,338.445 235.985,338.466 236.013,338.487 236.041,338.507 236.068,338.528 236.096,338.549 236.124,338.57 \n",
       "  236.151,338.591 236.179,338.611 236.206,338.632 236.234,338.653 236.262,338.674 236.289,338.694 236.317,338.715 236.345,338.736 236.372,338.756 236.4,338.777 \n",
       "  236.428,338.798 236.455,338.819 236.483,338.839 236.51,338.86 236.538,338.881 236.566,338.901 236.593,338.922 236.621,338.943 236.649,338.963 236.676,338.984 \n",
       "  236.704,339.005 236.732,339.025 236.759,339.046 236.787,339.066 236.814,339.087 236.842,339.108 236.87,339.128 236.897,339.149 236.925,339.169 236.953,339.19 \n",
       "  236.98,339.21 237.008,339.231 237.036,339.252 237.063,339.272 237.091,339.293 237.119,339.313 237.146,339.334 237.174,339.354 237.201,339.375 237.229,339.395 \n",
       "  237.257,339.416 237.284,339.436 237.312,339.457 237.34,339.477 237.367,339.498 237.395,339.518 237.423,339.538 237.45,339.559 237.478,339.579 237.505,339.6 \n",
       "  237.533,339.62 237.561,339.641 237.588,339.661 237.616,339.681 237.644,339.702 237.671,339.722 237.699,339.742 237.727,339.763 237.754,339.783 237.782,339.804 \n",
       "  237.809,339.824 237.837,339.844 237.865,339.865 237.892,339.885 237.92,339.905 237.948,339.926 237.975,339.946 238.003,339.966 238.031,339.986 238.058,340.007 \n",
       "  238.086,340.027 238.113,340.047 238.141,340.067 238.169,340.088 238.196,340.108 238.224,340.128 238.252,340.148 238.279,340.169 238.307,340.189 238.335,340.209 \n",
       "  238.362,340.229 238.39,340.249 238.417,340.27 238.445,340.29 238.473,340.31 238.5,340.33 238.528,340.35 238.556,340.37 238.583,340.391 238.611,340.411 \n",
       "  238.639,340.431 238.666,340.451 238.694,340.471 238.721,340.491 238.749,340.511 238.777,340.531 238.804,340.551 238.832,340.572 238.86,340.592 238.887,340.612 \n",
       "  238.915,340.632 238.943,340.652 238.97,340.672 238.998,340.692 239.026,340.712 239.053,340.732 239.081,340.752 239.108,340.772 239.136,340.792 239.164,340.812 \n",
       "  239.191,340.832 239.219,340.852 239.247,340.872 239.274,340.892 239.302,340.912 239.33,340.932 239.357,340.952 239.385,340.972 239.412,340.991 239.44,341.011 \n",
       "  239.468,341.031 239.495,341.051 239.523,341.071 239.551,341.091 239.578,341.111 239.606,341.131 239.634,341.151 239.661,341.17 239.689,341.19 239.716,341.21 \n",
       "  239.744,341.23 239.772,341.25 239.799,341.27 239.827,341.289 239.855,341.309 239.882,341.329 239.91,341.349 239.938,341.369 239.965,341.388 239.993,341.408 \n",
       "  240.02,341.428 240.048,341.448 240.076,341.468 240.103,341.487 240.131,341.507 240.159,341.527 240.186,341.546 240.214,341.566 240.242,341.586 240.269,341.606 \n",
       "  240.297,341.625 240.324,341.645 240.352,341.665 240.38,341.684 240.407,341.704 240.435,341.724 240.463,341.743 240.49,341.763 240.518,341.783 240.546,341.802 \n",
       "  240.573,341.822 240.601,341.841 240.629,341.861 240.656,341.881 240.684,341.9 240.711,341.92 240.739,341.939 240.767,341.959 240.794,341.979 240.822,341.998 \n",
       "  240.85,342.018 240.877,342.037 240.905,342.057 240.933,342.076 240.96,342.096 240.988,342.115 241.015,342.135 241.043,342.154 241.071,342.174 241.098,342.193 \n",
       "  241.126,342.213 241.154,342.232 241.181,342.252 241.209,342.271 241.237,342.291 241.264,342.31 241.292,342.329 241.319,342.349 241.347,342.368 241.375,342.388 \n",
       "  241.402,342.407 241.43,342.427 241.458,342.446 241.485,342.465 241.513,342.485 241.541,342.504 241.568,342.523 241.596,342.543 241.623,342.562 241.651,342.581 \n",
       "  241.679,342.601 241.706,342.62 241.734,342.639 241.762,342.659 241.789,342.678 241.817,342.697 241.845,342.717 241.872,342.736 241.9,342.755 241.927,342.774 \n",
       "  241.955,342.794 241.983,342.813 242.01,342.832 242.038,342.851 242.066,342.871 242.093,342.89 242.121,342.909 242.149,342.928 242.176,342.948 242.204,342.967 \n",
       "  242.231,342.986 242.259,343.005 242.287,343.024 242.314,343.043 242.342,343.063 242.37,343.082 242.397,343.101 242.425,343.12 242.453,343.139 242.48,343.158 \n",
       "  242.508,343.177 242.536,343.197 242.563,343.216 242.591,343.235 242.618,343.254 242.646,343.273 242.674,343.292 242.701,343.311 242.729,343.33 242.757,343.349 \n",
       "  242.784,343.368 242.812,343.387 242.84,343.406 242.867,343.425 242.895,343.444 242.922,343.463 242.95,343.482 242.978,343.501 243.005,343.52 243.033,343.539 \n",
       "  243.061,343.558 243.088,343.577 243.116,343.596 243.144,343.615 243.171,343.634 243.199,343.653 243.226,343.672 243.254,343.691 243.282,343.71 243.309,343.729 \n",
       "  243.337,343.748 243.365,343.767 243.392,343.785 243.42,343.804 243.448,343.823 243.475,343.842 243.503,343.861 243.53,343.88 243.558,343.899 243.586,343.917 \n",
       "  243.613,343.936 243.641,343.955 243.669,343.974 243.696,343.993 243.724,344.011 243.752,344.03 243.779,344.049 243.807,344.068 243.834,344.087 243.862,344.105 \n",
       "  243.89,344.124 243.917,344.143 243.945,344.162 243.973,344.18 244,344.199 244.028,344.218 244.056,344.237 244.083,344.255 244.111,344.274 244.139,344.293 \n",
       "  244.166,344.311 244.194,344.33 244.221,344.349 244.249,344.367 244.277,344.386 244.304,344.405 244.332,344.423 244.36,344.442 244.387,344.461 244.415,344.479 \n",
       "  244.443,344.498 244.47,344.516 244.498,344.535 244.525,344.554 244.553,344.572 244.581,344.591 244.608,344.609 244.636,344.628 244.664,344.646 244.691,344.665 \n",
       "  244.719,344.683 244.747,344.702 244.774,344.721 244.802,344.739 244.829,344.758 244.857,344.776 244.885,344.795 244.912,344.813 244.94,344.832 244.968,344.85 \n",
       "  244.995,344.868 245.023,344.887 245.051,344.905 245.078,344.924 245.106,344.942 245.133,344.961 245.161,344.979 245.189,344.998 245.216,345.016 245.244,345.034 \n",
       "  245.272,345.053 245.299,345.071 245.327,345.09 245.355,345.108 245.382,345.126 245.41,345.145 245.437,345.163 245.465,345.181 245.493,345.2 245.52,345.218 \n",
       "  245.548,345.236 245.576,345.255 245.603,345.273 245.631,345.291 245.659,345.31 245.686,345.328 245.714,345.346 245.741,345.364 245.769,345.383 245.797,345.401 \n",
       "  245.824,345.419 245.852,345.437 245.88,345.456 245.907,345.474 245.935,345.492 245.963,345.51 245.99,345.529 246.018,345.547 246.046,345.565 246.073,345.583 \n",
       "  246.101,345.601 246.128,345.619 246.156,345.638 246.184,345.656 246.211,345.674 246.239,345.692 246.267,345.71 246.294,345.728 246.322,345.746 246.35,345.765 \n",
       "  246.377,345.783 246.405,345.801 246.432,345.819 246.46,345.837 246.488,345.855 246.515,345.873 246.543,345.891 246.571,345.909 246.598,345.927 246.626,345.945 \n",
       "  246.654,345.963 246.681,345.981 246.709,345.999 246.736,346.017 246.764,346.035 246.792,346.053 246.819,346.071 246.847,346.089 246.875,346.107 246.902,346.125 \n",
       "  246.93,346.143 246.958,346.161 246.985,346.179 247.013,346.197 247.04,346.215 247.068,346.233 247.096,346.251 247.123,346.269 247.151,346.287 247.179,346.305 \n",
       "  247.206,346.323 247.234,346.34 247.262,346.358 247.289,346.376 247.317,346.394 247.344,346.412 247.372,346.43 247.4,346.448 247.427,346.465 247.455,346.483 \n",
       "  247.483,346.501 247.51,346.519 247.538,346.537 247.566,346.554 247.593,346.572 247.621,346.59 247.649,346.608 247.676,346.626 247.704,346.643 247.731,346.661 \n",
       "  247.759,346.679 247.787,346.697 247.814,346.714 247.842,346.732 247.87,346.75 247.897,346.767 247.925,346.785 247.953,346.803 247.98,346.821 248.008,346.838 \n",
       "  248.035,346.856 248.063,346.874 248.091,346.891 248.118,346.909 248.146,346.927 248.174,346.944 248.201,346.962 248.229,346.979 248.257,346.997 248.284,347.015 \n",
       "  248.312,347.032 248.339,347.05 248.367,347.067 248.395,347.085 248.422,347.103 248.45,347.12 248.478,347.138 248.505,347.155 248.533,347.173 248.561,347.19 \n",
       "  248.588,347.208 248.616,347.225 248.643,347.243 248.671,347.26 248.699,347.278 248.726,347.295 248.754,347.313 248.782,347.33 248.809,347.348 248.837,347.365 \n",
       "  248.865,347.383 248.892,347.4 248.92,347.418 248.947,347.435 248.975,347.453 249.003,347.47 249.03,347.487 249.058,347.505 249.086,347.522 249.113,347.54 \n",
       "  249.141,347.557 249.169,347.574 249.196,347.592 249.224,347.609 249.251,347.626 249.279,347.644 249.307,347.661 249.334,347.679 249.362,347.696 249.39,347.713 \n",
       "  249.417,347.73 249.445,347.748 249.473,347.765 249.5,347.782 249.528,347.8 249.556,347.817 249.583,347.834 249.611,347.851 249.638,347.869 249.666,347.886 \n",
       "  249.694,347.903 249.721,347.92 249.749,347.938 249.777,347.955 249.804,347.972 249.832,347.989 249.86,348.007 249.887,348.024 249.915,348.041 249.942,348.058 \n",
       "  249.97,348.075 249.998,348.092 250.025,348.11 250.053,348.127 250.081,348.144 250.108,348.161 250.136,348.178 250.164,348.195 250.191,348.212 250.219,348.229 \n",
       "  250.246,348.247 250.274,348.264 250.302,348.281 250.329,348.298 250.357,348.315 250.385,348.332 250.412,348.349 250.44,348.366 250.468,348.383 250.495,348.4 \n",
       "  250.523,348.417 250.55,348.434 250.578,348.451 250.606,348.468 250.633,348.485 250.661,348.502 250.689,348.519 250.716,348.536 250.744,348.553 250.772,348.57 \n",
       "  250.799,348.587 250.827,348.604 250.854,348.621 250.882,348.638 250.91,348.655 250.937,348.672 250.965,348.689 250.993,348.705 251.02,348.722 251.048,348.739 \n",
       "  251.076,348.756 251.103,348.773 251.131,348.79 251.159,348.807 251.186,348.824 251.214,348.84 251.241,348.857 251.269,348.874 251.297,348.891 251.324,348.908 \n",
       "  251.352,348.925 251.38,348.941 251.407,348.958 251.435,348.975 251.463,348.992 251.49,349.008 251.518,349.025 251.545,349.042 251.573,349.059 251.601,349.075 \n",
       "  251.628,349.092 251.656,349.109 251.684,349.126 251.711,349.142 251.739,349.159 251.767,349.176 251.794,349.193 251.822,349.209 251.849,349.226 251.877,349.243 \n",
       "  251.905,349.259 251.932,349.276 251.96,349.293 251.988,349.309 252.015,349.326 252.043,349.342 252.071,349.359 252.098,349.376 252.126,349.392 252.153,349.409 \n",
       "  252.181,349.425 252.209,349.442 252.236,349.459 252.264,349.475 252.292,349.492 252.319,349.508 252.347,349.525 252.375,349.541 252.402,349.558 252.43,349.574 \n",
       "  252.457,349.591 252.485,349.608 252.513,349.624 252.54,349.641 252.568,349.657 252.596,349.673 252.623,349.69 252.651,349.706 252.679,349.723 252.706,349.739 \n",
       "  252.734,349.756 252.761,349.772 252.789,349.789 252.817,349.805 252.844,349.822 252.872,349.838 252.9,349.854 252.927,349.871 252.955,349.887 252.983,349.904 \n",
       "  253.01,349.92 253.038,349.936 253.066,349.953 253.093,349.969 253.121,349.985 253.148,350.002 253.176,350.018 253.204,350.034 253.231,350.051 253.259,350.067 \n",
       "  253.287,350.083 253.314,350.1 253.342,350.116 253.37,350.132 253.397,350.148 253.425,350.165 253.452,350.181 253.48,350.197 253.508,350.213 253.535,350.23 \n",
       "  253.563,350.246 253.591,350.262 253.618,350.278 253.646,350.295 253.674,350.311 253.701,350.327 253.729,350.343 253.756,350.359 253.784,350.376 253.812,350.392 \n",
       "  253.839,350.408 253.867,350.424 253.895,350.44 253.922,350.456 253.95,350.472 253.978,350.489 254.005,350.505 254.033,350.521 254.06,350.537 254.088,350.553 \n",
       "  254.116,350.569 254.143,350.585 254.171,350.601 254.199,350.617 254.226,350.633 254.254,350.649 254.282,350.665 254.309,350.681 254.337,350.697 254.364,350.714 \n",
       "  254.392,350.73 254.42,350.746 254.447,350.762 254.475,350.778 254.503,350.794 254.53,350.809 254.558,350.825 254.586,350.841 254.613,350.857 254.641,350.873 \n",
       "  254.669,350.889 254.696,350.905 254.724,350.921 254.751,350.937 254.779,350.953 254.807,350.969 254.834,350.985 254.862,351.001 254.89,351.017 254.917,351.032 \n",
       "  254.945,351.048 254.973,351.064 255,351.08 255.028,351.096 255.055,351.112 255.083,351.128 255.111,351.143 255.138,351.159 255.166,351.175 255.194,351.191 \n",
       "  255.221,351.207 255.249,351.222 255.277,351.238 255.304,351.254 255.332,351.27 255.359,351.286 255.387,351.301 255.415,351.317 255.442,351.333 255.47,351.349 \n",
       "  255.498,351.364 255.525,351.38 255.553,351.396 255.581,351.411 255.608,351.427 255.636,351.443 255.663,351.458 255.691,351.474 255.719,351.49 255.746,351.505 \n",
       "  255.774,351.521 255.802,351.537 255.829,351.552 255.857,351.568 255.885,351.584 255.912,351.599 255.94,351.615 255.967,351.631 255.995,351.646 256.023,351.662 \n",
       "  256.05,351.677 256.078,351.693 256.106,351.708 256.133,351.724 256.161,351.74 256.189,351.755 256.216,351.771 256.244,351.786 256.271,351.802 256.299,351.817 \n",
       "  256.327,351.833 256.354,351.848 256.382,351.864 256.41,351.879 256.437,351.895 256.465,351.91 256.493,351.926 256.52,351.941 256.548,351.957 256.576,351.972 \n",
       "  256.603,351.987 256.631,352.003 256.658,352.018 256.686,352.034 256.714,352.049 256.741,352.065 256.769,352.08 256.797,352.095 256.824,352.111 256.852,352.126 \n",
       "  256.88,352.141 256.907,352.157 256.935,352.172 256.962,352.187 256.99,352.203 257.018,352.218 257.045,352.233 257.073,352.249 257.101,352.264 257.128,352.279 \n",
       "  257.156,352.295 257.184,352.31 257.211,352.325 257.239,352.341 257.266,352.356 257.294,352.371 257.322,352.386 257.349,352.402 257.377,352.417 257.405,352.432 \n",
       "  257.432,352.447 257.46,352.462 257.488,352.478 257.515,352.493 257.543,352.508 257.57,352.523 257.598,352.538 257.626,352.554 257.653,352.569 257.681,352.584 \n",
       "  257.709,352.599 257.736,352.614 257.764,352.629 257.792,352.644 257.819,352.66 257.847,352.675 257.874,352.69 257.902,352.705 257.93,352.72 257.957,352.735 \n",
       "  257.985,352.75 258.013,352.765 258.04,352.78 258.068,352.795 258.096,352.81 258.123,352.825 258.151,352.84 258.179,352.856 258.206,352.871 258.234,352.886 \n",
       "  258.261,352.901 258.289,352.916 258.317,352.931 258.344,352.946 258.372,352.961 258.4,352.975 258.427,352.99 258.455,353.005 258.483,353.02 258.51,353.035 \n",
       "  258.538,353.05 258.565,353.065 258.593,353.08 258.621,353.095 258.648,353.11 258.676,353.125 258.704,353.14 258.731,353.155 258.759,353.169 258.787,353.184 \n",
       "  258.814,353.199 258.842,353.214 258.869,353.229 258.897,353.244 258.925,353.259 258.952,353.273 258.98,353.288 259.008,353.303 259.035,353.318 259.063,353.333 \n",
       "  259.091,353.347 259.118,353.362 259.146,353.377 259.173,353.392 259.201,353.406 259.229,353.421 259.256,353.436 259.284,353.451 259.312,353.465 259.339,353.48 \n",
       "  259.367,353.495 259.395,353.51 259.422,353.524 259.45,353.539 259.477,353.554 259.505,353.568 259.533,353.583 259.56,353.598 259.588,353.612 259.616,353.627 \n",
       "  259.643,353.642 259.671,353.656 259.699,353.671 259.726,353.686 259.754,353.7 259.781,353.715 259.809,353.729 259.837,353.744 259.864,353.759 259.892,353.773 \n",
       "  259.92,353.788 259.947,353.802 259.975,353.817 260.003,353.831 260.03,353.846 260.058,353.86 260.086,353.875 260.113,353.89 260.141,353.904 260.168,353.919 \n",
       "  260.196,353.933 260.224,353.948 260.251,353.962 260.279,353.977 260.307,353.991 260.334,354.005 260.362,354.02 260.39,354.034 260.417,354.049 260.445,354.063 \n",
       "  260.472,354.078 260.5,354.092 260.528,354.107 260.555,354.121 260.583,354.135 260.611,354.15 260.638,354.164 260.666,354.178 260.694,354.193 260.721,354.207 \n",
       "  260.749,354.222 260.776,354.236 260.804,354.25 260.832,354.265 260.859,354.279 260.887,354.293 260.915,354.308 260.942,354.322 260.97,354.336 260.998,354.35 \n",
       "  261.025,354.365 261.053,354.379 261.08,354.393 261.108,354.408 261.136,354.422 261.163,354.436 261.191,354.45 261.219,354.465 261.246,354.479 261.274,354.493 \n",
       "  261.302,354.507 261.329,354.521 261.357,354.536 261.384,354.55 261.412,354.564 261.44,354.578 261.467,354.592 261.495,354.606 261.523,354.621 261.55,354.635 \n",
       "  261.578,354.649 261.606,354.663 261.633,354.677 261.661,354.691 261.689,354.705 261.716,354.72 261.744,354.734 261.771,354.748 261.799,354.762 261.827,354.776 \n",
       "  261.854,354.79 261.882,354.804 261.91,354.818 261.937,354.832 261.965,354.846 261.993,354.86 262.02,354.874 262.048,354.888 262.075,354.902 262.103,354.916 \n",
       "  262.131,354.93 262.158,354.944 262.186,354.958 262.214,354.972 262.241,354.986 262.269,355 262.297,355.014 262.324,355.028 262.352,355.042 262.379,355.056 \n",
       "  262.407,355.07 262.435,355.084 262.462,355.098 262.49,355.112 262.518,355.125 262.545,355.139 262.573,355.153 262.601,355.167 262.628,355.181 262.656,355.195 \n",
       "  262.683,355.209 262.711,355.222 262.739,355.236 262.766,355.25 262.794,355.264 262.822,355.278 262.849,355.292 262.877,355.305 262.905,355.319 262.932,355.333 \n",
       "  262.96,355.347 262.987,355.361 263.015,355.374 263.043,355.388 263.07,355.402 263.098,355.416 263.126,355.429 263.153,355.443 263.181,355.457 263.209,355.47 \n",
       "  263.236,355.484 263.264,355.498 263.291,355.512 263.319,355.525 263.347,355.539 263.374,355.553 263.402,355.566 263.43,355.58 263.457,355.594 263.485,355.607 \n",
       "  263.513,355.621 263.54,355.634 263.568,355.648 263.596,355.662 263.623,355.675 263.651,355.689 263.678,355.703 263.706,355.716 263.734,355.73 263.761,355.743 \n",
       "  263.789,355.757 263.817,355.77 263.844,355.784 263.872,355.797 263.9,355.811 263.927,355.825 263.955,355.838 263.982,355.852 264.01,355.865 264.038,355.879 \n",
       "  264.065,355.892 264.093,355.906 264.121,355.919 264.148,355.932 264.176,355.946 264.204,355.959 264.231,355.973 264.259,355.986 264.286,356 264.314,356.013 \n",
       "  264.342,356.027 264.369,356.04 264.397,356.053 264.425,356.067 264.452,356.08 264.48,356.094 264.508,356.107 264.535,356.12 264.563,356.134 264.59,356.147 \n",
       "  264.618,356.16 264.646,356.174 264.673,356.187 264.701,356.2 264.729,356.214 264.756,356.227 264.784,356.24 264.812,356.254 264.839,356.267 264.867,356.28 \n",
       "  264.894,356.293 264.922,356.307 264.95,356.32 264.977,356.333 265.005,356.346 265.033,356.36 265.06,356.373 265.088,356.386 265.116,356.399 265.143,356.413 \n",
       "  265.171,356.426 265.199,356.439 265.226,356.452 265.254,356.465 265.281,356.479 265.309,356.492 265.337,356.505 265.364,356.518 265.392,356.531 265.42,356.544 \n",
       "  265.447,356.557 265.475,356.571 265.503,356.584 265.53,356.597 265.558,356.61 265.585,356.623 265.613,356.636 265.641,356.649 265.668,356.662 265.696,356.675 \n",
       "  265.724,356.688 265.751,356.701 265.779,356.714 265.807,356.727 265.834,356.741 265.862,356.754 265.889,356.767 265.917,356.78 265.945,356.793 265.972,356.806 \n",
       "  266,356.819 266.028,356.832 266.055,356.845 266.083,356.857 266.111,356.87 266.138,356.883 266.166,356.896 266.193,356.909 266.221,356.922 266.249,356.935 \n",
       "  266.276,356.948 266.304,356.961 266.332,356.974 266.359,356.987 266.387,357 266.415,357.012 266.442,357.025 266.47,357.038 266.497,357.051 266.525,357.064 \n",
       "  266.553,357.077 266.58,357.09 266.608,357.102 266.636,357.115 266.663,357.128 266.691,357.141 266.719,357.154 266.746,357.166 266.774,357.179 266.801,357.192 \n",
       "  266.829,357.205 266.857,357.218 266.884,357.23 266.912,357.243 266.94,357.256 266.967,357.269 266.995,357.281 267.023,357.294 267.05,357.307 267.078,357.319 \n",
       "  267.106,357.332 267.133,357.345 267.161,357.357 267.188,357.37 267.216,357.383 267.244,357.395 267.271,357.408 267.299,357.421 267.327,357.433 267.354,357.446 \n",
       "  267.382,357.459 267.41,357.471 267.437,357.484 267.465,357.497 267.492,357.509 267.52,357.522 267.548,357.534 267.575,357.547 267.603,357.559 267.631,357.572 \n",
       "  267.658,357.585 267.686,357.597 267.714,357.61 267.741,357.622 267.769,357.635 267.796,357.647 267.824,357.66 267.852,357.672 267.879,357.685 267.907,357.697 \n",
       "  267.935,357.71 267.962,357.722 267.99,357.735 268.018,357.747 268.045,357.76 268.073,357.772 268.1,357.784 268.128,357.797 268.156,357.809 268.183,357.822 \n",
       "  268.211,357.834 268.239,357.847 268.266,357.859 268.294,357.871 268.322,357.884 268.349,357.896 268.377,357.908 268.404,357.921 268.432,357.933 268.46,357.945 \n",
       "  268.487,357.958 268.515,357.97 268.543,357.982 268.57,357.995 268.598,358.007 268.626,358.019 268.653,358.032 268.681,358.044 268.709,358.056 268.736,358.069 \n",
       "  268.764,358.081 268.791,358.093 268.819,358.105 268.847,358.118 268.874,358.13 268.902,358.142 268.93,358.154 268.957,358.166 268.985,358.179 269.013,358.191 \n",
       "  269.04,358.203 269.068,358.215 269.095,358.227 269.123,358.24 269.151,358.252 269.178,358.264 269.206,358.276 269.234,358.288 269.261,358.3 269.289,358.312 \n",
       "  269.317,358.325 269.344,358.337 269.372,358.349 269.399,358.361 269.427,358.373 269.455,358.385 269.482,358.397 269.51,358.409 269.538,358.421 269.565,358.433 \n",
       "  269.593,358.445 269.621,358.457 269.648,358.469 269.676,358.482 269.703,358.494 269.731,358.506 269.759,358.518 269.786,358.53 269.814,358.542 269.842,358.554 \n",
       "  269.869,358.565 269.897,358.577 269.925,358.589 269.952,358.601 269.98,358.613 270.007,358.625 270.035,358.637 270.063,358.649 270.09,358.661 270.118,358.673 \n",
       "  270.146,358.685 270.173,358.697 270.201,358.709 270.229,358.721 270.256,358.732 270.284,358.744 270.311,358.756 270.339,358.768 270.367,358.78 270.394,358.792 \n",
       "  270.422,358.804 270.45,358.815 270.477,358.827 270.505,358.839 270.533,358.851 270.56,358.863 270.588,358.874 270.616,358.886 270.643,358.898 270.671,358.91 \n",
       "  270.698,358.921 270.726,358.933 270.754,358.945 270.781,358.957 270.809,358.968 270.837,358.98 270.864,358.992 270.892,359.004 270.92,359.015 270.947,359.027 \n",
       "  270.975,359.039 271.002,359.05 271.03,359.062 271.058,359.074 271.085,359.085 271.113,359.097 271.141,359.109 271.168,359.12 271.196,359.132 271.224,359.144 \n",
       "  271.251,359.155 271.279,359.167 271.306,359.178 271.334,359.19 271.362,359.202 271.389,359.213 271.417,359.225 271.445,359.236 271.472,359.248 271.5,359.259 \n",
       "  271.528,359.271 271.555,359.282 271.583,359.294 271.61,359.306 271.638,359.317 271.666,359.329 271.693,359.34 271.721,359.352 271.749,359.363 271.776,359.374 \n",
       "  271.804,359.386 271.832,359.397 271.859,359.409 271.887,359.42 271.914,359.432 271.942,359.443 271.97,359.455 271.997,359.466 272.025,359.477 272.053,359.489 \n",
       "  272.08,359.5 272.108,359.512 272.136,359.523 272.163,359.534 272.191,359.546 272.219,359.557 272.246,359.569 272.274,359.58 272.301,359.591 272.329,359.603 \n",
       "  272.357,359.614 272.384,359.625 272.412,359.637 272.44,359.648 272.467,359.659 272.495,359.67 272.523,359.682 272.55,359.693 272.578,359.704 272.605,359.716 \n",
       "  272.633,359.727 272.661,359.738 272.688,359.749 272.716,359.76 272.744,359.772 272.771,359.783 272.799,359.794 272.827,359.805 272.854,359.817 272.882,359.828 \n",
       "  272.909,359.839 272.937,359.85 272.965,359.861 272.992,359.872 273.02,359.884 273.048,359.895 273.075,359.906 273.103,359.917 273.131,359.928 273.158,359.939 \n",
       "  273.186,359.95 273.213,359.961 273.241,359.973 273.269,359.984 273.296,359.995 273.324,360.006 273.352,360.017 273.379,360.028 273.407,360.039 273.435,360.05 \n",
       "  273.462,360.061 273.49,360.072 273.517,360.083 273.545,360.094 273.573,360.105 273.6,360.116 273.628,360.127 273.656,360.138 273.683,360.149 273.711,360.16 \n",
       "  273.739,360.171 273.766,360.182 273.794,360.193 273.821,360.204 273.849,360.215 273.877,360.226 273.904,360.237 273.932,360.248 273.96,360.259 273.987,360.269 \n",
       "  274.015,360.28 274.043,360.291 274.07,360.302 274.098,360.313 274.126,360.324 274.153,360.335 274.181,360.346 274.208,360.356 274.236,360.367 274.264,360.378 \n",
       "  274.291,360.389 274.319,360.4 274.347,360.411 274.374,360.421 274.402,360.432 274.43,360.443 274.457,360.454 274.485,360.464 274.512,360.475 274.54,360.486 \n",
       "  274.568,360.497 274.595,360.507 274.623,360.518 274.651,360.529 274.678,360.54 274.706,360.55 274.734,360.561 274.761,360.572 274.789,360.582 274.816,360.593 \n",
       "  274.844,360.604 274.872,360.615 274.899,360.625 274.927,360.636 274.955,360.646 274.982,360.657 275.01,360.668 275.038,360.678 275.065,360.689 275.093,360.7 \n",
       "  275.12,360.71 275.148,360.721 275.176,360.731 275.203,360.742 275.231,360.753 275.259,360.763 275.286,360.774 275.314,360.784 275.342,360.795 275.369,360.805 \n",
       "  275.397,360.816 275.424,360.826 275.452,360.837 275.48,360.847 275.507,360.858 275.535,360.868 275.563,360.879 275.59,360.889 275.618,360.9 275.646,360.91 \n",
       "  275.673,360.921 275.701,360.931 275.729,360.942 275.756,360.952 275.784,360.963 275.811,360.973 275.839,360.983 275.867,360.994 275.894,361.004 275.922,361.015 \n",
       "  275.95,361.025 275.977,361.035 276.005,361.046 276.033,361.056 276.06,361.067 276.088,361.077 276.115,361.087 276.143,361.098 276.171,361.108 276.198,361.118 \n",
       "  276.226,361.129 276.254,361.139 276.281,361.149 276.309,361.16 276.337,361.17 276.364,361.18 276.392,361.19 276.419,361.201 276.447,361.211 276.475,361.221 \n",
       "  276.502,361.231 276.53,361.242 276.558,361.252 276.585,361.262 276.613,361.272 276.641,361.283 276.668,361.293 276.696,361.303 276.723,361.313 276.751,361.323 \n",
       "  276.779,361.333 276.806,361.344 276.834,361.354 276.862,361.364 276.889,361.374 276.917,361.384 276.945,361.394 276.972,361.404 277,361.415 277.027,361.425 \n",
       "  277.055,361.435 277.083,361.445 277.11,361.455 277.138,361.465 277.166,361.475 277.193,361.485 277.221,361.495 277.249,361.505 277.276,361.515 277.304,361.525 \n",
       "  277.331,361.535 277.359,361.545 277.387,361.555 277.414,361.565 277.442,361.575 277.47,361.585 277.497,361.595 277.525,361.605 277.553,361.615 277.58,361.625 \n",
       "  277.608,361.635 277.636,361.645 277.663,361.655 277.691,361.665 277.718,361.675 277.746,361.685 277.774,361.695 277.801,361.705 277.829,361.715 277.857,361.725 \n",
       "  277.884,361.734 277.912,361.744 277.94,361.754 277.967,361.764 277.995,361.774 278.022,361.784 278.05,361.794 278.078,361.803 278.105,361.813 278.133,361.823 \n",
       "  278.161,361.833 278.188,361.843 278.216,361.853 278.244,361.862 278.271,361.872 278.299,361.882 278.326,361.892 278.354,361.901 278.382,361.911 278.409,361.921 \n",
       "  278.437,361.931 278.465,361.94 278.492,361.95 278.52,361.96 278.548,361.97 278.575,361.979 278.603,361.989 278.63,361.999 278.658,362.008 278.686,362.018 \n",
       "  278.713,362.028 278.741,362.037 278.769,362.047 278.796,362.057 278.824,362.066 278.852,362.076 278.879,362.086 278.907,362.095 278.934,362.105 278.962,362.114 \n",
       "  278.99,362.124 279.017,362.134 279.045,362.143 279.073,362.153 279.1,362.162 279.128,362.172 279.156,362.181 279.183,362.191 279.211,362.2 279.239,362.21 \n",
       "  279.266,362.22 279.294,362.229 279.321,362.239 279.349,362.248 279.377,362.258 279.404,362.267 279.432,362.277 279.46,362.286 279.487,362.295 279.515,362.305 \n",
       "  279.543,362.314 279.57,362.324 279.598,362.333 279.625,362.343 279.653,362.352 279.681,362.362 279.708,362.371 279.736,362.38 279.764,362.39 279.791,362.399 \n",
       "  279.819,362.409 279.847,362.418 279.874,362.427 279.902,362.437 279.929,362.446 279.957,362.455 279.985,362.465 280.012,362.474 280.04,362.483 280.068,362.493 \n",
       "  280.095,362.502 280.123,362.511 280.151,362.521 280.178,362.53 280.206,362.539 280.233,362.548 280.261,362.558 280.289,362.567 280.316,362.576 280.344,362.585 \n",
       "  280.372,362.595 280.399,362.604 280.427,362.613 280.455,362.622 280.482,362.631 280.51,362.641 280.537,362.65 280.565,362.659 280.593,362.668 280.62,362.677 \n",
       "  280.648,362.687 280.676,362.696 280.703,362.705 280.731,362.714 280.759,362.723 280.786,362.732 280.814,362.741 280.841,362.751 280.869,362.76 280.897,362.769 \n",
       "  280.924,362.778 280.952,362.787 280.98,362.796 281.007,362.805 281.035,362.814 281.063,362.823 281.09,362.832 281.118,362.841 281.146,362.85 281.173,362.859 \n",
       "  281.201,362.868 281.228,362.877 281.256,362.886 281.284,362.895 281.311,362.904 281.339,362.913 281.367,362.922 281.394,362.931 281.422,362.94 281.45,362.949 \n",
       "  281.477,362.958 281.505,362.967 281.532,362.976 281.56,362.985 281.588,362.994 281.615,363.003 281.643,363.012 281.671,363.021 281.698,363.029 281.726,363.038 \n",
       "  281.754,363.047 281.781,363.056 281.809,363.065 281.836,363.074 281.864,363.083 281.892,363.092 281.919,363.1 281.947,363.109 281.975,363.118 282.002,363.127 \n",
       "  282.03,363.136 282.058,363.144 282.085,363.153 282.113,363.162 282.14,363.171 282.168,363.18 282.196,363.188 282.223,363.197 282.251,363.206 282.279,363.215 \n",
       "  282.306,363.223 282.334,363.232 282.362,363.241 282.389,363.249 282.417,363.258 282.444,363.267 282.472,363.275 282.5,363.284 282.527,363.293 282.555,363.301 \n",
       "  282.583,363.31 282.61,363.319 282.638,363.327 282.666,363.336 282.693,363.345 282.721,363.353 282.749,363.362 282.776,363.371 282.804,363.379 282.831,363.388 \n",
       "  282.859,363.396 282.887,363.405 282.914,363.414 282.942,363.422 282.97,363.431 282.997,363.439 283.025,363.448 283.053,363.456 283.08,363.465 283.108,363.473 \n",
       "  283.135,363.482 283.163,363.49 283.191,363.499 283.218,363.507 283.246,363.516 283.274,363.524 283.301,363.533 283.329,363.541 283.357,363.55 283.384,363.558 \n",
       "  283.412,363.567 283.439,363.575 283.467,363.583 283.495,363.592 283.522,363.6 283.55,363.609 283.578,363.617 283.605,363.625 283.633,363.634 283.661,363.642 \n",
       "  283.688,363.651 283.716,363.659 283.743,363.667 283.771,363.676 283.799,363.684 283.826,363.692 283.854,363.701 283.882,363.709 283.909,363.717 283.937,363.726 \n",
       "  283.965,363.734 283.992,363.742 284.02,363.75 284.047,363.759 284.075,363.767 284.103,363.775 284.13,363.784 284.158,363.792 284.186,363.8 284.213,363.808 \n",
       "  284.241,363.817 284.269,363.825 284.296,363.833 284.324,363.841 284.351,363.849 284.379,363.858 284.407,363.866 284.434,363.874 284.462,363.882 284.49,363.89 \n",
       "  284.517,363.898 284.545,363.907 284.573,363.915 284.6,363.923 284.628,363.931 284.656,363.939 284.683,363.947 284.711,363.955 284.738,363.963 284.766,363.971 \n",
       "  284.794,363.98 284.821,363.988 284.849,363.996 284.877,364.004 284.904,364.012 284.932,364.02 284.96,364.028 284.987,364.036 285.015,364.044 285.042,364.052 \n",
       "  285.07,364.06 285.098,364.068 285.125,364.076 285.153,364.084 285.181,364.092 285.208,364.1 285.236,364.108 285.264,364.116 285.291,364.124 285.319,364.132 \n",
       "  285.346,364.14 285.374,364.148 285.402,364.156 285.429,364.163 285.457,364.171 285.485,364.179 285.512,364.187 285.54,364.195 285.568,364.203 285.595,364.211 \n",
       "  285.623,364.219 285.65,364.226 285.678,364.234 285.706,364.242 285.733,364.25 285.761,364.258 285.789,364.266 285.816,364.273 285.844,364.281 285.872,364.289 \n",
       "  285.899,364.297 285.927,364.305 285.954,364.312 285.982,364.32 286.01,364.328 286.037,364.336 286.065,364.344 286.093,364.351 286.12,364.359 286.148,364.367 \n",
       "  286.176,364.374 286.203,364.382 286.231,364.39 286.259,364.398 286.286,364.405 286.314,364.413 286.341,364.421 286.369,364.428 286.397,364.436 286.424,364.444 \n",
       "  286.452,364.451 286.48,364.459 286.507,364.467 286.535,364.474 286.563,364.482 286.59,364.489 286.618,364.497 286.645,364.505 286.673,364.512 286.701,364.52 \n",
       "  286.728,364.527 286.756,364.535 286.784,364.542 286.811,364.55 286.839,364.558 286.867,364.565 286.894,364.573 286.922,364.58 286.949,364.588 286.977,364.595 \n",
       "  287.005,364.603 287.032,364.61 287.06,364.618 287.088,364.625 287.115,364.633 287.143,364.64 287.171,364.648 287.198,364.655 287.226,364.663 287.253,364.67 \n",
       "  287.281,364.677 287.309,364.685 287.336,364.692 287.364,364.7 287.392,364.707 287.419,364.714 287.447,364.722 287.475,364.729 287.502,364.737 287.53,364.744 \n",
       "  287.557,364.751 287.585,364.759 287.613,364.766 287.64,364.773 287.668,364.781 287.696,364.788 287.723,364.795 287.751,364.803 287.779,364.81 287.806,364.817 \n",
       "  287.834,364.825 287.861,364.832 287.889,364.839 287.917,364.846 287.944,364.854 287.972,364.861 288,364.868 288.027,364.875 288.055,364.883 288.083,364.89 \n",
       "  288.11,364.897 288.138,364.904 288.166,364.911 288.193,364.919 288.221,364.926 288.248,364.933 288.276,364.94 288.304,364.947 288.331,364.954 288.359,364.962 \n",
       "  288.387,364.969 288.414,364.976 288.442,364.983 288.47,364.99 288.497,364.997 288.525,365.004 288.552,365.012 288.58,365.019 288.608,365.026 288.635,365.033 \n",
       "  288.663,365.04 288.691,365.047 288.718,365.054 288.746,365.061 288.774,365.068 288.801,365.075 288.829,365.082 288.856,365.089 288.884,365.096 288.912,365.103 \n",
       "  288.939,365.11 288.967,365.117 288.995,365.124 289.022,365.131 289.05,365.138 289.078,365.145 289.105,365.152 289.133,365.159 289.16,365.166 289.188,365.173 \n",
       "  289.216,365.18 289.243,365.187 289.271,365.194 289.299,365.201 289.326,365.207 289.354,365.214 289.382,365.221 289.409,365.228 289.437,365.235 289.464,365.242 \n",
       "  289.492,365.249 289.52,365.256 289.547,365.262 289.575,365.269 289.603,365.276 289.63,365.283 289.658,365.29 289.686,365.296 289.713,365.303 289.741,365.31 \n",
       "  289.769,365.317 289.796,365.324 289.824,365.33 289.851,365.337 289.879,365.344 289.907,365.351 289.934,365.357 289.962,365.364 289.99,365.371 290.017,365.378 \n",
       "  290.045,365.384 290.073,365.391 290.1,365.398 290.128,365.404 290.155,365.411 290.183,365.418 290.211,365.424 290.238,365.431 290.266,365.438 290.294,365.444 \n",
       "  290.321,365.451 290.349,365.458 290.377,365.464 290.404,365.471 290.432,365.477 290.459,365.484 290.487,365.491 290.515,365.497 290.542,365.504 290.57,365.51 \n",
       "  290.598,365.517 290.625,365.524 290.653,365.53 290.681,365.537 290.708,365.543 290.736,365.55 290.763,365.556 290.791,365.563 290.819,365.569 290.846,365.576 \n",
       "  290.874,365.582 290.902,365.589 290.929,365.595 290.957,365.602 290.985,365.608 291.012,365.615 291.04,365.621 291.067,365.628 291.095,365.634 291.123,365.64 \n",
       "  291.15,365.647 291.178,365.653 291.206,365.66 291.233,365.666 291.261,365.672 291.289,365.679 291.316,365.685 291.344,365.692 291.371,365.698 291.399,365.704 \n",
       "  291.427,365.711 291.454,365.717 291.482,365.723 291.51,365.73 291.537,365.736 291.565,365.742 291.593,365.749 291.62,365.755 291.648,365.761 291.676,365.768 \n",
       "  291.703,365.774 291.731,365.78 291.758,365.786 291.786,365.793 291.814,365.799 291.841,365.805 291.869,365.811 291.897,365.818 291.924,365.824 291.952,365.83 \n",
       "  291.98,365.836 292.007,365.842 292.035,365.849 292.062,365.855 292.09,365.861 292.118,365.867 292.145,365.873 292.173,365.879 292.201,365.886 292.228,365.892 \n",
       "  292.256,365.898 292.284,365.904 292.311,365.91 292.339,365.916 292.366,365.922 292.394,365.928 292.422,365.935 292.449,365.941 292.477,365.947 292.505,365.953 \n",
       "  292.532,365.959 292.56,365.965 292.588,365.971 292.615,365.977 292.643,365.983 292.67,365.989 292.698,365.995 292.726,366.001 292.753,366.007 292.781,366.013 \n",
       "  292.809,366.019 292.836,366.025 292.864,366.031 292.892,366.037 292.919,366.043 292.947,366.049 292.974,366.055 293.002,366.061 293.03,366.067 293.057,366.073 \n",
       "  293.085,366.079 293.113,366.084 293.14,366.09 293.168,366.096 293.196,366.102 293.223,366.108 293.251,366.114 293.279,366.12 293.306,366.126 293.334,366.131 \n",
       "  293.361,366.137 293.389,366.143 293.417,366.149 293.444,366.155 293.472,366.161 293.5,366.166 293.527,366.172 293.555,366.178 293.583,366.184 293.61,366.19 \n",
       "  293.638,366.195 293.665,366.201 293.693,366.207 293.721,366.213 293.748,366.218 293.776,366.224 293.804,366.23 293.831,366.236 293.859,366.241 293.887,366.247 \n",
       "  293.914,366.253 293.942,366.258 293.969,366.264 293.997,366.27 294.025,366.275 294.052,366.281 294.08,366.287 294.108,366.292 294.135,366.298 294.163,366.304 \n",
       "  294.191,366.309 294.218,366.315 294.246,366.321 294.273,366.326 294.301,366.332 294.329,366.337 294.356,366.343 294.384,366.349 294.412,366.354 294.439,366.36 \n",
       "  294.467,366.365 294.495,366.371 294.522,366.376 294.55,366.382 294.577,366.387 294.605,366.393 294.633,366.398 294.66,366.404 294.688,366.409 294.716,366.415 \n",
       "  294.743,366.42 294.771,366.426 294.799,366.431 294.826,366.437 294.854,366.442 294.881,366.448 294.909,366.453 294.937,366.459 294.964,366.464 294.992,366.47 \n",
       "  295.02,366.475 295.047,366.48 295.075,366.486 295.103,366.491 295.13,366.497 295.158,366.502 295.186,366.507 295.213,366.513 295.241,366.518 295.268,366.523 \n",
       "  295.296,366.529 295.324,366.534 295.351,366.539 295.379,366.545 295.407,366.55 295.434,366.555 295.462,366.561 295.49,366.566 295.517,366.571 295.545,366.576 \n",
       "  295.572,366.582 295.6,366.587 295.628,366.592 295.655,366.597 295.683,366.603 295.711,366.608 295.738,366.613 295.766,366.618 295.794,366.624 295.821,366.629 \n",
       "  295.849,366.634 295.876,366.639 295.904,366.644 295.932,366.65 295.959,366.655 295.987,366.66 296.015,366.665 296.042,366.67 296.07,366.675 296.098,366.68 \n",
       "  296.125,366.686 296.153,366.691 296.18,366.696 296.208,366.701 296.236,366.706 296.263,366.711 296.291,366.716 296.319,366.721 296.346,366.726 296.374,366.731 \n",
       "  296.402,366.736 296.429,366.741 296.457,366.746 296.484,366.752 296.512,366.757 296.54,366.762 296.567,366.767 296.595,366.772 296.623,366.777 296.65,366.782 \n",
       "  296.678,366.787 296.706,366.792 296.733,366.796 296.761,366.801 296.789,366.806 296.816,366.811 296.844,366.816 296.871,366.821 296.899,366.826 296.927,366.831 \n",
       "  296.954,366.836 296.982,366.841 297.01,366.846 297.037,366.851 297.065,366.856 297.093,366.86 297.12,366.865 297.148,366.87 297.175,366.875 297.203,366.88 \n",
       "  297.231,366.885 297.258,366.889 297.286,366.894 297.314,366.899 297.341,366.904 297.369,366.909 297.397,366.914 297.424,366.918 297.452,366.923 297.479,366.928 \n",
       "  297.507,366.933 297.535,366.937 297.562,366.942 297.59,366.947 297.618,366.952 297.645,366.956 297.673,366.961 297.701,366.966 297.728,366.97 297.756,366.975 \n",
       "  297.783,366.98 297.811,366.985 297.839,366.989 297.866,366.994 297.894,366.999 297.922,367.003 297.949,367.008 297.977,367.013 298.005,367.017 298.032,367.022 \n",
       "  298.06,367.026 298.087,367.031 298.115,367.036 298.143,367.04 298.17,367.045 298.198,367.049 298.226,367.054 298.253,367.059 298.281,367.063 298.309,367.068 \n",
       "  298.336,367.072 298.364,367.077 298.391,367.081 298.419,367.086 298.447,367.09 298.474,367.095 298.502,367.099 298.53,367.104 298.557,367.108 298.585,367.113 \n",
       "  298.613,367.117 298.64,367.122 298.668,367.126 298.696,367.131 298.723,367.135 298.751,367.14 298.778,367.144 298.806,367.148 298.834,367.153 298.861,367.157 \n",
       "  298.889,367.162 298.917,367.166 298.944,367.17 298.972,367.175 299,367.179 299.027,367.184 299.055,367.188 299.082,367.192 299.11,367.197 299.138,367.201 \n",
       "  299.165,367.205 299.193,367.21 299.221,367.214 299.248,367.218 299.276,367.223 299.304,367.227 299.331,367.231 299.359,367.235 299.386,367.24 299.414,367.244 \n",
       "  299.442,367.248 299.469,367.252 299.497,367.257 299.525,367.261 299.552,367.265 299.58,367.269 299.608,367.274 299.635,367.278 299.663,367.282 299.69,367.286 \n",
       "  299.718,367.29 299.746,367.295 299.773,367.299 299.801,367.303 299.829,367.307 299.856,367.311 299.884,367.315 299.912,367.32 299.939,367.324 299.967,367.328 \n",
       "  299.994,367.332 300.022,367.336 300.05,367.34 300.077,367.344 300.105,367.348 300.133,367.352 300.16,367.356 300.188,367.36 300.216,367.365 300.243,367.369 \n",
       "  300.271,367.373 300.299,367.377 300.326,367.381 300.354,367.385 300.381,367.389 300.409,367.393 300.437,367.397 300.464,367.401 300.492,367.405 300.52,367.409 \n",
       "  300.547,367.413 300.575,367.417 300.603,367.421 300.63,367.425 300.658,367.428 300.685,367.432 300.713,367.436 300.741,367.44 300.768,367.444 300.796,367.448 \n",
       "  300.824,367.452 300.851,367.456 300.879,367.46 300.907,367.464 300.934,367.468 300.962,367.471 300.989,367.475 301.017,367.479 301.045,367.483 301.072,367.487 \n",
       "  301.1,367.491 301.128,367.494 301.155,367.498 301.183,367.502 301.211,367.506 301.238,367.51 301.266,367.513 301.293,367.517 301.321,367.521 301.349,367.525 \n",
       "  301.376,367.528 301.404,367.532 301.432,367.536 301.459,367.54 301.487,367.543 301.515,367.547 301.542,367.551 301.57,367.555 301.597,367.558 301.625,367.562 \n",
       "  301.653,367.566 301.68,367.569 301.708,367.573 301.736,367.577 301.763,367.58 301.791,367.584 301.819,367.588 301.846,367.591 301.874,367.595 301.901,367.598 \n",
       "  301.929,367.602 301.957,367.606 301.984,367.609 302.012,367.613 302.04,367.616 302.067,367.62 302.095,367.624 302.123,367.627 302.15,367.631 302.178,367.634 \n",
       "  302.206,367.638 302.233,367.641 302.261,367.645 302.288,367.648 302.316,367.652 302.344,367.655 302.371,367.659 302.399,367.662 302.427,367.666 302.454,367.669 \n",
       "  302.482,367.673 302.51,367.676 302.537,367.68 302.565,367.683 302.592,367.687 302.62,367.69 302.648,367.693 302.675,367.697 302.703,367.7 302.731,367.704 \n",
       "  302.758,367.707 302.786,367.71 302.814,367.714 302.841,367.717 302.869,367.72 302.896,367.724 302.924,367.727 302.952,367.731 302.979,367.734 303.007,367.737 \n",
       "  303.035,367.741 303.062,367.744 303.09,367.747 303.118,367.75 303.145,367.754 303.173,367.757 303.2,367.76 303.228,367.764 303.256,367.767 303.283,367.77 \n",
       "  303.311,367.773 303.339,367.777 303.366,367.78 303.394,367.783 303.422,367.786 303.449,367.79 303.477,367.793 303.504,367.796 303.532,367.799 303.56,367.802 \n",
       "  303.587,367.805 303.615,367.809 303.643,367.812 303.67,367.815 303.698,367.818 303.726,367.821 303.753,367.824 303.781,367.828 303.809,367.831 303.836,367.834 \n",
       "  303.864,367.837 303.891,367.84 303.919,367.843 303.947,367.846 303.974,367.849 304.002,367.852 304.03,367.855 304.057,367.858 304.085,367.861 304.113,367.864 \n",
       "  304.14,367.868 304.168,367.871 304.195,367.874 304.223,367.877 304.251,367.88 304.278,367.883 304.306,367.886 304.334,367.889 304.361,367.892 304.389,367.894 \n",
       "  304.417,367.897 304.444,367.9 304.472,367.903 304.499,367.906 304.527,367.909 304.555,367.912 304.582,367.915 304.61,367.918 304.638,367.921 304.665,367.924 \n",
       "  304.693,367.927 304.721,367.93 304.748,367.932 304.776,367.935 304.803,367.938 304.831,367.941 304.859,367.944 304.886,367.947 304.914,367.95 304.942,367.952 \n",
       "  304.969,367.955 304.997,367.958 305.025,367.961 305.052,367.964 305.08,367.966 305.107,367.969 305.135,367.972 305.163,367.975 305.19,367.977 305.218,367.98 \n",
       "  305.246,367.983 305.273,367.986 305.301,367.988 305.329,367.991 305.356,367.994 305.384,367.997 305.411,367.999 305.439,368.002 305.467,368.005 305.494,368.007 \n",
       "  305.522,368.01 305.55,368.013 305.577,368.015 305.605,368.018 305.633,368.021 305.66,368.023 305.688,368.026 305.716,368.028 305.743,368.031 305.771,368.034 \n",
       "  305.798,368.036 305.826,368.039 305.854,368.041 305.881,368.044 305.909,368.047 305.937,368.049 305.964,368.052 305.992,368.054 306.02,368.057 306.047,368.059 \n",
       "  306.075,368.062 306.102,368.064 306.13,368.067 306.158,368.069 306.185,368.072 306.213,368.074 306.241,368.077 306.268,368.079 306.296,368.082 306.324,368.084 \n",
       "  306.351,368.087 306.379,368.089 306.406,368.092 306.434,368.094 306.462,368.097 306.489,368.099 306.517,368.101 306.545,368.104 306.572,368.106 306.6,368.109 \n",
       "  306.628,368.111 306.655,368.113 306.683,368.116 306.71,368.118 306.738,368.12 306.766,368.123 306.793,368.125 306.821,368.127 306.849,368.13 306.876,368.132 \n",
       "  306.904,368.134 306.932,368.137 306.959,368.139 306.987,368.141 307.014,368.144 307.042,368.146 307.07,368.148 307.097,368.15 307.125,368.153 307.153,368.155 \n",
       "  307.18,368.157 307.208,368.159 307.236,368.162 307.263,368.164 307.291,368.166 307.319,368.168 307.346,368.17 307.374,368.173 307.401,368.175 307.429,368.177 \n",
       "  307.457,368.179 307.484,368.181 307.512,368.183 307.54,368.186 307.567,368.188 307.595,368.19 307.623,368.192 307.65,368.194 307.678,368.196 307.705,368.198 \n",
       "  307.733,368.2 307.761,368.203 307.788,368.205 307.816,368.207 307.844,368.209 307.871,368.211 307.899,368.213 307.927,368.215 307.954,368.217 307.982,368.219 \n",
       "  308.009,368.221 308.037,368.223 308.065,368.225 308.092,368.227 308.12,368.229 308.148,368.231 308.175,368.233 308.203,368.235 308.231,368.237 308.258,368.239 \n",
       "  308.286,368.241 308.313,368.243 308.341,368.245 308.369,368.247 308.396,368.249 308.424,368.251 308.452,368.252 308.479,368.254 308.507,368.256 308.535,368.258 \n",
       "  308.562,368.26 308.59,368.262 308.617,368.264 308.645,368.266 308.673,368.267 308.7,368.269 308.728,368.271 308.756,368.273 308.783,368.275 308.811,368.277 \n",
       "  308.839,368.278 308.866,368.28 308.894,368.282 308.921,368.284 308.949,368.286 308.977,368.287 309.004,368.289 309.032,368.291 309.06,368.293 309.087,368.294 \n",
       "  309.115,368.296 309.143,368.298 309.17,368.299 309.198,368.301 309.226,368.303 309.253,368.305 309.281,368.306 309.308,368.308 309.336,368.31 309.364,368.311 \n",
       "  309.391,368.313 309.419,368.315 309.447,368.316 309.474,368.318 309.502,368.32 309.53,368.321 309.557,368.323 309.585,368.324 309.612,368.326 309.64,368.328 \n",
       "  309.668,368.329 309.695,368.331 309.723,368.332 309.751,368.334 309.778,368.336 309.806,368.337 309.834,368.339 309.861,368.34 309.889,368.342 309.916,368.343 \n",
       "  309.944,368.345 309.972,368.346 309.999,368.348 310.027,368.349 310.055,368.351 310.082,368.352 310.11,368.354 310.138,368.355 310.165,368.357 310.193,368.358 \n",
       "  310.22,368.36 310.248,368.361 310.276,368.362 310.303,368.364 310.331,368.365 310.359,368.367 310.386,368.368 310.414,368.369 310.442,368.371 310.469,368.372 \n",
       "  310.497,368.374 310.524,368.375 310.552,368.376 310.58,368.378 310.607,368.379 310.635,368.38 310.663,368.382 310.69,368.383 310.718,368.384 310.746,368.386 \n",
       "  310.773,368.387 310.801,368.388 310.829,368.39 310.856,368.391 310.884,368.392 310.911,368.393 310.939,368.395 310.967,368.396 310.994,368.397 311.022,368.398 \n",
       "  311.05,368.4 311.077,368.401 311.105,368.402 311.133,368.403 311.16,368.404 311.188,368.406 311.215,368.407 311.243,368.408 311.271,368.409 311.298,368.41 \n",
       "  311.326,368.412 311.354,368.413 311.381,368.414 311.409,368.415 311.437,368.416 311.464,368.417 311.492,368.418 311.519,368.419 311.547,368.421 311.575,368.422 \n",
       "  311.602,368.423 311.63,368.424 311.658,368.425 311.685,368.426 311.713,368.427 311.741,368.428 311.768,368.429 311.796,368.43 311.823,368.431 311.851,368.432 \n",
       "  311.879,368.433 311.906,368.434 311.934,368.435 311.962,368.436 311.989,368.437 312.017,368.438 312.045,368.439 312.072,368.44 312.1,368.441 312.127,368.442 \n",
       "  312.155,368.443 312.183,368.444 312.21,368.445 312.238,368.446 312.266,368.447 312.293,368.448 312.321,368.448 312.349,368.449 312.376,368.45 312.404,368.451 \n",
       "  312.431,368.452 312.459,368.453 312.487,368.454 312.514,368.454 312.542,368.455 312.57,368.456 312.597,368.457 312.625,368.458 312.653,368.459 312.68,368.459 \n",
       "  312.708,368.46 312.736,368.461 312.763,368.462 312.791,368.463 312.818,368.463 312.846,368.464 312.874,368.465 312.901,368.466 312.929,368.466 312.957,368.467 \n",
       "  312.984,368.468 313.012,368.469 313.04,368.469 313.067,368.47 313.095,368.471 313.122,368.471 313.15,368.472 313.178,368.473 313.205,368.473 313.233,368.474 \n",
       "  313.261,368.475 313.288,368.475 313.316,368.476 313.344,368.477 313.371,368.477 313.399,368.478 313.426,368.478 313.454,368.479 313.482,368.48 313.509,368.48 \n",
       "  313.537,368.481 313.565,368.481 313.592,368.482 313.62,368.483 313.648,368.483 313.675,368.484 313.703,368.484 313.73,368.485 313.758,368.485 313.786,368.486 \n",
       "  313.813,368.486 313.841,368.487 313.869,368.487 313.896,368.488 313.924,368.488 313.952,368.489 313.979,368.489 314.007,368.49 314.034,368.49 314.062,368.49 \n",
       "  314.09,368.491 314.117,368.491 314.145,368.492 314.173,368.492 314.2,368.493 314.228,368.493 314.256,368.493 314.283,368.494 314.311,368.494 314.339,368.495 \n",
       "  314.366,368.495 314.394,368.495 314.421,368.496 314.449,368.496 314.477,368.496 314.504,368.497 314.532,368.497 314.56,368.497 314.587,368.498 314.615,368.498 \n",
       "  314.643,368.498 314.67,368.498 314.698,368.499 314.725,368.499 314.753,368.499 314.781,368.499 314.808,368.5 314.836,368.5 314.864,368.5 314.891,368.5 \n",
       "  314.919,368.501 314.947,368.501 314.974,368.501 315.002,368.501 315.029,368.501 315.057,368.502 315.085,368.502 315.112,368.502 315.14,368.502 315.168,368.502 \n",
       "  315.195,368.502 315.223,368.503 315.251,368.503 315.278,368.503 315.306,368.503 315.333,368.503 315.361,368.503 315.389,368.503 315.416,368.503 315.444,368.503 \n",
       "  315.472,368.504 315.499,368.504 315.527,368.504 315.555,368.504 315.582,368.504 315.61,368.504 315.637,368.504 315.665,368.504 315.693,368.504 315.72,368.504 \n",
       "  315.748,368.504 315.776,368.504 315.803,368.504 315.831,368.504 315.859,368.504 315.886,368.504 315.914,368.504 315.941,368.504 315.969,368.504 315.997,368.504 \n",
       "  316.024,368.504 316.052,368.504 316.08,368.503 316.107,368.503 316.135,368.503 316.163,368.503 316.19,368.503 316.218,368.503 316.246,368.503 316.273,368.503 \n",
       "  316.301,368.503 316.328,368.502 316.356,368.502 316.384,368.502 316.411,368.502 316.439,368.502 316.467,368.502 316.494,368.501 316.522,368.501 316.55,368.501 \n",
       "  316.577,368.501 316.605,368.5 316.632,368.5 316.66,368.5 316.688,368.5 316.715,368.5 316.743,368.499 316.771,368.499 316.798,368.499 316.826,368.498 \n",
       "  316.854,368.498 316.881,368.498 316.909,368.498 316.936,368.497 316.964,368.497 316.992,368.497 317.019,368.496 317.047,368.496 317.075,368.496 317.102,368.495 \n",
       "  317.13,368.495 317.158,368.495 317.185,368.494 317.213,368.494 317.24,368.493 317.268,368.493 317.296,368.493 317.323,368.492 317.351,368.492 317.379,368.491 \n",
       "  317.406,368.491 317.434,368.491 317.462,368.49 317.489,368.49 317.517,368.489 317.544,368.489 317.572,368.488 317.6,368.488 317.627,368.487 317.655,368.487 \n",
       "  317.683,368.486 317.71,368.486 317.738,368.485 317.766,368.485 317.793,368.484 317.821,368.484 317.849,368.483 317.876,368.483 317.904,368.482 317.931,368.481 \n",
       "  317.959,368.481 317.987,368.48 318.014,368.48 318.042,368.479 318.07,368.479 318.097,368.478 318.125,368.477 318.153,368.477 318.18,368.476 318.208,368.475 \n",
       "  318.235,368.475 318.263,368.474 318.291,368.473 318.318,368.473 318.346,368.472 318.374,368.471 318.401,368.471 318.429,368.47 318.457,368.469 318.484,368.469 \n",
       "  318.512,368.468 318.539,368.467 318.567,368.466 318.595,368.466 318.622,368.465 318.65,368.464 318.678,368.463 318.705,368.463 318.733,368.462 318.761,368.461 \n",
       "  318.788,368.46 318.816,368.46 318.843,368.459 318.871,368.458 318.899,368.457 318.926,368.456 318.954,368.455 318.982,368.455 319.009,368.454 319.037,368.453 \n",
       "  319.065,368.452 319.092,368.451 319.12,368.45 319.147,368.449 319.175,368.449 319.203,368.448 319.23,368.447 319.258,368.446 319.286,368.445 319.313,368.444 \n",
       "  319.341,368.443 319.369,368.442 319.396,368.441 319.424,368.44 319.451,368.439 319.479,368.438 319.507,368.437 319.534,368.436 319.562,368.435 319.59,368.434 \n",
       "  319.617,368.433 319.645,368.432 319.673,368.431 319.7,368.43 319.728,368.429 319.756,368.428 319.783,368.427 319.811,368.426 319.838,368.425 319.866,368.424 \n",
       "  319.894,368.423 319.921,368.422 319.949,368.421 319.977,368.42 320.004,368.419 320.032,368.417 320.06,368.416 320.087,368.415 320.115,368.414 320.142,368.413 \n",
       "  320.17,368.412 320.198,368.411 320.225,368.409 320.253,368.408 320.281,368.407 320.308,368.406 320.336,368.405 320.364,368.403 320.391,368.402 320.419,368.401 \n",
       "  320.446,368.4 320.474,368.399 320.502,368.397 320.529,368.396 320.557,368.395 320.585,368.394 320.612,368.392 320.64,368.391 320.668,368.39 320.695,368.389 \n",
       "  320.723,368.387 320.75,368.386 320.778,368.385 320.806,368.383 320.833,368.382 320.861,368.381 320.889,368.379 320.916,368.378 320.944,368.377 320.972,368.375 \n",
       "  320.999,368.374 321.027,368.373 321.054,368.371 321.082,368.37 321.11,368.368 321.137,368.367 321.165,368.366 321.193,368.364 321.22,368.363 321.248,368.361 \n",
       "  321.276,368.36 321.303,368.358 321.331,368.357 321.359,368.355 321.386,368.354 321.414,368.353 321.441,368.351 321.469,368.35 321.497,368.348 321.524,368.347 \n",
       "  321.552,368.345 321.58,368.344 321.607,368.342 321.635,368.34 321.663,368.339 321.69,368.337 321.718,368.336 321.745,368.334 321.773,368.333 321.801,368.331 \n",
       "  321.828,368.33 321.856,368.328 321.884,368.326 321.911,368.325 321.939,368.323 321.967,368.322 321.994,368.32 322.022,368.318 322.049,368.317 322.077,368.315 \n",
       "  322.105,368.313 322.132,368.312 322.16,368.31 322.188,368.308 322.215,368.307 322.243,368.305 322.271,368.303 322.298,368.302 322.326,368.3 322.353,368.298 \n",
       "  322.381,368.296 322.409,368.295 322.436,368.293 322.464,368.291 322.492,368.289 322.519,368.288 322.547,368.286 322.575,368.284 322.602,368.282 322.63,368.281 \n",
       "  322.657,368.279 322.685,368.277 322.713,368.275 322.74,368.273 322.768,368.271 322.796,368.27 322.823,368.268 322.851,368.266 322.879,368.264 322.906,368.262 \n",
       "  322.934,368.26 322.961,368.258 322.989,368.257 323.017,368.255 323.044,368.253 323.072,368.251 323.1,368.249 323.127,368.247 323.155,368.245 323.183,368.243 \n",
       "  323.21,368.241 323.238,368.239 323.266,368.237 323.293,368.235 323.321,368.233 323.348,368.231 323.376,368.229 323.404,368.227 323.431,368.225 323.459,368.223 \n",
       "  323.487,368.221 323.514,368.219 323.542,368.217 323.57,368.215 323.597,368.213 323.625,368.211 323.652,368.209 323.68,368.207 323.708,368.205 323.735,368.203 \n",
       "  323.763,368.201 323.791,368.199 323.818,368.197 323.846,368.195 323.874,368.192 323.901,368.19 323.929,368.188 323.956,368.186 323.984,368.184 324.012,368.182 \n",
       "  324.039,368.18 324.067,368.177 324.095,368.175 324.122,368.173 324.15,368.171 324.178,368.169 324.205,368.166 324.233,368.164 324.26,368.162 324.288,368.16 \n",
       "  324.316,368.158 324.343,368.155 324.371,368.153 324.399,368.151 324.426,368.149 324.454,368.146 324.482,368.144 324.509,368.142 324.537,368.139 324.564,368.137 \n",
       "  324.592,368.135 324.62,368.133 324.647,368.13 324.675,368.128 324.703,368.126 324.73,368.123 324.758,368.121 324.786,368.119 324.813,368.116 324.841,368.114 \n",
       "  324.869,368.111 324.896,368.109 324.924,368.107 324.951,368.104 324.979,368.102 325.007,368.099 325.034,368.097 325.062,368.095 325.09,368.092 325.117,368.09 \n",
       "  325.145,368.087 325.173,368.085 325.2,368.082 325.228,368.08 325.255,368.077 325.283,368.075 325.311,368.072 325.338,368.07 325.366,368.067 325.394,368.065 \n",
       "  325.421,368.062 325.449,368.06 325.477,368.057 325.504,368.055 325.532,368.052 325.559,368.05 325.587,368.047 325.615,368.045 325.642,368.042 325.67,368.039 \n",
       "  325.698,368.037 325.725,368.034 325.753,368.032 325.781,368.029 325.808,368.026 325.836,368.024 325.863,368.021 325.891,368.018 325.919,368.016 325.946,368.013 \n",
       "  325.974,368.011 326.002,368.008 326.029,368.005 326.057,368.002 326.085,368 326.112,367.997 326.14,367.994 326.167,367.992 326.195,367.989 326.223,367.986 \n",
       "  326.25,367.983 326.278,367.981 326.306,367.978 326.333,367.975 326.361,367.972 326.389,367.97 326.416,367.967 326.444,367.964 326.471,367.961 326.499,367.959 \n",
       "  326.527,367.956 326.554,367.953 326.582,367.95 326.61,367.947 326.637,367.944 326.665,367.942 326.693,367.939 326.72,367.936 326.748,367.933 326.776,367.93 \n",
       "  326.803,367.927 326.831,367.924 326.858,367.921 326.886,367.919 326.914,367.916 326.941,367.913 326.969,367.91 326.997,367.907 327.024,367.904 327.052,367.901 \n",
       "  327.08,367.898 327.107,367.895 327.135,367.892 327.162,367.889 327.19,367.886 327.218,367.883 327.245,367.88 327.273,367.877 327.301,367.874 327.328,367.871 \n",
       "  327.356,367.868 327.384,367.865 327.411,367.862 327.439,367.859 327.466,367.856 327.494,367.853 327.522,367.85 327.549,367.847 327.577,367.844 327.605,367.841 \n",
       "  327.632,367.837 327.66,367.834 327.688,367.831 327.715,367.828 327.743,367.825 327.77,367.822 327.798,367.819 327.826,367.816 327.853,367.812 327.881,367.809 \n",
       "  327.909,367.806 327.936,367.803 327.964,367.8 327.992,367.797 328.019,367.793 328.047,367.79 328.074,367.787 328.102,367.784 328.13,367.78 328.157,367.777 \n",
       "  328.185,367.774 328.213,367.771 328.24,367.767 328.268,367.764 328.296,367.761 328.323,367.758 328.351,367.754 328.379,367.751 328.406,367.748 328.434,367.745 \n",
       "  328.461,367.741 328.489,367.738 328.517,367.735 328.544,367.731 328.572,367.728 328.6,367.725 328.627,367.721 328.655,367.718 328.683,367.714 328.71,367.711 \n",
       "  328.738,367.708 328.765,367.704 328.793,367.701 328.821,367.697 328.848,367.694 328.876,367.691 328.904,367.687 328.931,367.684 328.959,367.68 328.987,367.677 \n",
       "  329.014,367.673 329.042,367.67 329.069,367.666 329.097,367.663 329.125,367.66 329.152,367.656 329.18,367.653 329.208,367.649 329.235,367.645 329.263,367.642 \n",
       "  329.291,367.638 329.318,367.635 329.346,367.631 329.373,367.628 329.401,367.624 329.429,367.621 329.456,367.617 329.484,367.614 329.512,367.61 329.539,367.606 \n",
       "  329.567,367.603 329.595,367.599 329.622,367.596 329.65,367.592 329.677,367.588 329.705,367.585 329.733,367.581 329.76,367.577 329.788,367.574 329.816,367.57 \n",
       "  329.843,367.566 329.871,367.563 329.899,367.559 329.926,367.555 329.954,367.552 329.981,367.548 330.009,367.544 330.037,367.54 330.064,367.537 330.092,367.533 \n",
       "  330.12,367.529 330.147,367.525 330.175,367.522 330.203,367.518 330.23,367.514 330.258,367.51 330.286,367.507 330.313,367.503 330.341,367.499 330.368,367.495 \n",
       "  330.396,367.491 330.424,367.488 330.451,367.484 330.479,367.48 330.507,367.476 330.534,367.472 330.562,367.468 330.59,367.464 330.617,367.461 330.645,367.457 \n",
       "  330.672,367.453 330.7,367.449 330.728,367.445 330.755,367.441 330.783,367.437 330.811,367.433 330.838,367.429 330.866,367.425 330.894,367.421 330.921,367.417 \n",
       "  330.949,367.413 330.976,367.409 331.004,367.406 331.032,367.402 331.059,367.398 331.087,367.394 331.115,367.39 331.142,367.386 331.17,367.381 331.198,367.377 \n",
       "  331.225,367.373 331.253,367.369 331.28,367.365 331.308,367.361 331.336,367.357 331.363,367.353 331.391,367.349 331.419,367.345 331.446,367.341 331.474,367.337 \n",
       "  331.502,367.333 331.529,367.329 331.557,367.324 331.584,367.32 331.612,367.316 331.64,367.312 331.667,367.308 331.695,367.304 331.723,367.3 331.75,367.295 \n",
       "  331.778,367.291 331.806,367.287 331.833,367.283 331.861,367.279 331.889,367.274 331.916,367.27 331.944,367.266 331.971,367.262 331.999,367.258 332.027,367.253 \n",
       "  332.054,367.249 332.082,367.245 332.11,367.241 332.137,367.236 332.165,367.232 332.193,367.228 332.22,367.223 332.248,367.219 332.275,367.215 332.303,367.21 \n",
       "  332.331,367.206 332.358,367.202 332.386,367.197 332.414,367.193 332.441,367.189 332.469,367.184 332.497,367.18 332.524,367.176 332.552,367.171 332.579,367.167 \n",
       "  332.607,367.162 332.635,367.158 332.662,367.154 332.69,367.149 332.718,367.145 332.745,367.14 332.773,367.136 332.801,367.132 332.828,367.127 332.856,367.123 \n",
       "  332.883,367.118 332.911,367.114 332.939,367.109 332.966,367.105 332.994,367.1 333.022,367.096 333.049,367.091 333.077,367.087 333.105,367.082 333.132,367.078 \n",
       "  333.16,367.073 333.187,367.069 333.215,367.064 333.243,367.059 333.27,367.055 333.298,367.05 333.326,367.046 333.353,367.041 333.381,367.037 333.409,367.032 \n",
       "  333.436,367.027 333.464,367.023 333.491,367.018 333.519,367.013 333.547,367.009 333.574,367.004 333.602,366.999 333.63,366.995 333.657,366.99 333.685,366.985 \n",
       "  333.713,366.981 333.74,366.976 333.768,366.971 333.796,366.967 333.823,366.962 333.851,366.957 333.878,366.953 333.906,366.948 333.934,366.943 333.961,366.938 \n",
       "  333.989,366.934 334.017,366.929 334.044,366.924 334.072,366.919 334.1,366.914 334.127,366.91 334.155,366.905 334.182,366.9 334.21,366.895 334.238,366.89 \n",
       "  334.265,366.886 334.293,366.881 334.321,366.876 334.348,366.871 334.376,366.866 334.404,366.861 334.431,366.856 334.459,366.852 334.486,366.847 334.514,366.842 \n",
       "  334.542,366.837 334.569,366.832 334.597,366.827 334.625,366.822 334.652,366.817 334.68,366.812 334.708,366.807 334.735,366.802 334.763,366.797 334.79,366.792 \n",
       "  334.818,366.788 334.846,366.783 334.873,366.778 334.901,366.773 334.929,366.768 334.956,366.763 334.984,366.758 335.012,366.753 335.039,366.747 335.067,366.742 \n",
       "  335.094,366.737 335.122,366.732 335.15,366.727 335.177,366.722 335.205,366.717 335.233,366.712 335.26,366.707 335.288,366.702 335.316,366.697 335.343,366.692 \n",
       "  335.371,366.687 335.399,366.681 335.426,366.676 335.454,366.671 335.481,366.666 335.509,366.661 335.537,366.656 335.564,366.651 335.592,366.645 335.62,366.64 \n",
       "  335.647,366.635 335.675,366.63 335.703,366.625 335.73,366.619 335.758,366.614 335.785,366.609 335.813,366.604 335.841,366.598 335.868,366.593 335.896,366.588 \n",
       "  335.924,366.583 335.951,366.577 335.979,366.572 336.007,366.567 336.034,366.562 336.062,366.556 336.089,366.551 336.117,366.546 336.145,366.54 336.172,366.535 \n",
       "  336.2,366.53 336.228,366.524 336.255,366.519 336.283,366.514 336.311,366.508 336.338,366.503 336.366,366.498 336.393,366.492 336.421,366.487 336.449,366.481 \n",
       "  336.476,366.476 336.504,366.471 336.532,366.465 336.559,366.46 336.587,366.454 336.615,366.449 336.642,366.443 336.67,366.438 336.697,366.432 336.725,366.427 \n",
       "  336.753,366.422 336.78,366.416 336.808,366.411 336.836,366.405 336.863,366.4 336.891,366.394 336.919,366.389 336.946,366.383 336.974,366.377 337.001,366.372 \n",
       "  337.029,366.366 337.057,366.361 337.084,366.355 337.112,366.35 337.14,366.344 337.167,366.339 337.195,366.333 337.223,366.327 337.25,366.322 337.278,366.316 \n",
       "  337.306,366.31 337.333,366.305 337.361,366.299 337.388,366.294 337.416,366.288 337.444,366.282 337.471,366.277 337.499,366.271 337.527,366.265 337.554,366.26 \n",
       "  337.582,366.254 337.61,366.248 337.637,366.242 337.665,366.237 337.692,366.231 337.72,366.225 337.748,366.22 337.775,366.214 337.803,366.208 337.831,366.202 \n",
       "  337.858,366.197 337.886,366.191 337.914,366.185 337.941,366.179 337.969,366.173 337.996,366.168 338.024,366.162 338.052,366.156 338.079,366.15 338.107,366.144 \n",
       "  338.135,366.138 338.162,366.133 338.19,366.127 338.218,366.121 338.245,366.115 338.273,366.109 338.3,366.103 338.328,366.097 338.356,366.092 338.383,366.086 \n",
       "  338.411,366.08 338.439,366.074 338.466,366.068 338.494,366.062 338.522,366.056 338.549,366.05 338.577,366.044 338.604,366.038 338.632,366.032 338.66,366.026 \n",
       "  338.687,366.02 338.715,366.014 338.743,366.008 338.77,366.002 338.798,365.996 338.826,365.99 338.853,365.984 338.881,365.978 338.909,365.972 338.936,365.966 \n",
       "  338.964,365.96 338.991,365.954 339.019,365.948 339.047,365.942 339.074,365.936 339.102,365.93 339.13,365.924 339.157,365.917 339.185,365.911 339.213,365.905 \n",
       "  339.24,365.899 339.268,365.893 339.295,365.887 339.323,365.881 339.351,365.874 339.378,365.868 339.406,365.862 339.434,365.856 339.461,365.85 339.489,365.844 \n",
       "  339.517,365.837 339.544,365.831 339.572,365.825 339.599,365.819 339.627,365.813 339.655,365.806 339.682,365.8 339.71,365.794 339.738,365.788 339.765,365.781 \n",
       "  339.793,365.775 339.821,365.769 339.848,365.762 339.876,365.756 339.903,365.75 339.931,365.744 339.959,365.737 339.986,365.731 340.014,365.725 340.042,365.718 \n",
       "  340.069,365.712 340.097,365.706 340.125,365.699 340.152,365.693 340.18,365.686 340.207,365.68 340.235,365.674 340.263,365.667 340.29,365.661 340.318,365.655 \n",
       "  340.346,365.648 340.373,365.642 340.401,365.635 340.429,365.629 340.456,365.622 340.484,365.616 340.511,365.609 340.539,365.603 340.567,365.597 340.594,365.59 \n",
       "  340.622,365.584 340.65,365.577 340.677,365.571 340.705,365.564 340.733,365.558 340.76,365.551 340.788,365.544 340.816,365.538 340.843,365.531 340.871,365.525 \n",
       "  340.898,365.518 340.926,365.512 340.954,365.505 340.981,365.499 341.009,365.492 341.037,365.485 341.064,365.479 341.092,365.472 341.12,365.466 341.147,365.459 \n",
       "  341.175,365.452 341.202,365.446 341.23,365.439 341.258,365.432 341.285,365.426 341.313,365.419 341.341,365.412 341.368,365.406 341.396,365.399 341.424,365.392 \n",
       "  341.451,365.386 341.479,365.379 341.506,365.372 341.534,365.365 341.562,365.359 341.589,365.352 341.617,365.345 341.645,365.338 341.672,365.332 341.7,365.325 \n",
       "  341.728,365.318 341.755,365.311 341.783,365.305 341.81,365.298 341.838,365.291 341.866,365.284 341.893,365.277 341.921,365.271 341.949,365.264 341.976,365.257 \n",
       "  342.004,365.25 342.032,365.243 342.059,365.236 342.087,365.229 342.114,365.223 342.142,365.216 342.17,365.209 342.197,365.202 342.225,365.195 342.253,365.188 \n",
       "  342.28,365.181 342.308,365.174 342.336,365.167 342.363,365.16 342.391,365.153 342.419,365.146 342.446,365.139 342.474,365.132 342.501,365.126 342.529,365.119 \n",
       "  342.557,365.112 342.584,365.105 342.612,365.098 342.64,365.091 342.667,365.084 342.695,365.076 342.723,365.069 342.75,365.062 342.778,365.055 342.805,365.048 \n",
       "  342.833,365.041 342.861,365.034 342.888,365.027 342.916,365.02 342.944,365.013 342.971,365.006 342.999,364.999 343.027,364.992 343.054,364.984 343.082,364.977 \n",
       "  343.109,364.97 343.137,364.963 343.165,364.956 343.192,364.949 343.22,364.942 343.248,364.934 343.275,364.927 343.303,364.92 343.331,364.913 343.358,364.906 \n",
       "  343.386,364.898 343.413,364.891 343.441,364.884 343.469,364.877 343.496,364.87 343.524,364.862 343.552,364.855 343.579,364.848 343.607,364.841 343.635,364.833 \n",
       "  343.662,364.826 343.69,364.819 343.717,364.811 343.745,364.804 343.773,364.797 343.8,364.789 343.828,364.782 343.856,364.775 343.883,364.767 343.911,364.76 \n",
       "  343.939,364.753 343.966,364.745 343.994,364.738 344.021,364.731 344.049,364.723 344.077,364.716 344.104,364.708 344.132,364.701 344.16,364.694 344.187,364.686 \n",
       "  344.215,364.679 344.243,364.671 344.27,364.664 344.298,364.657 344.326,364.649 344.353,364.642 344.381,364.634 344.408,364.627 344.436,364.619 344.464,364.612 \n",
       "  344.491,364.604 344.519,364.597 344.547,364.589 344.574,364.582 344.602,364.574 344.63,364.567 344.657,364.559 344.685,364.552 344.712,364.544 344.74,364.536 \n",
       "  344.768,364.529 344.795,364.521 344.823,364.514 344.851,364.506 344.878,364.498 344.906,364.491 344.934,364.483 344.961,364.476 344.989,364.468 345.016,364.46 \n",
       "  345.044,364.453 345.072,364.445 345.099,364.437 345.127,364.43 345.155,364.422 345.182,364.414 345.21,364.407 345.238,364.399 345.265,364.391 345.293,364.384 \n",
       "  345.32,364.376 345.348,364.368 345.376,364.361 345.403,364.353 345.431,364.345 345.459,364.337 345.486,364.33 345.514,364.322 345.542,364.314 345.569,364.306 \n",
       "  345.597,364.298 345.624,364.291 345.652,364.283 345.68,364.275 345.707,364.267 345.735,364.259 345.763,364.252 345.79,364.244 345.818,364.236 345.846,364.228 \n",
       "  345.873,364.22 345.901,364.212 345.929,364.204 345.956,364.197 345.984,364.189 346.011,364.181 346.039,364.173 346.067,364.165 346.094,364.157 346.122,364.149 \n",
       "  346.15,364.141 346.177,364.133 346.205,364.125 346.233,364.117 346.26,364.109 346.288,364.101 346.315,364.093 346.343,364.085 346.371,364.078 346.398,364.07 \n",
       "  346.426,364.062 346.454,364.054 346.481,364.045 346.509,364.037 346.537,364.029 346.564,364.021 346.592,364.013 346.619,364.005 346.647,363.997 346.675,363.989 \n",
       "  346.702,363.981 346.73,363.973 346.758,363.965 346.785,363.957 346.813,363.949 346.841,363.941 346.868,363.933 346.896,363.924 346.923,363.916 346.951,363.908 \n",
       "  346.979,363.9 347.006,363.892 347.034,363.884 347.062,363.875 347.089,363.867 347.117,363.859 347.145,363.851 347.172,363.843 347.2,363.835 347.227,363.826 \n",
       "  347.255,363.818 347.283,363.81 347.31,363.802 347.338,363.793 347.366,363.785 347.393,363.777 347.421,363.769 347.449,363.76 347.476,363.752 347.504,363.744 \n",
       "  347.531,363.736 347.559,363.727 347.587,363.719 347.614,363.711 347.642,363.702 347.67,363.694 347.697,363.686 347.725,363.677 347.753,363.669 347.78,363.661 \n",
       "  347.808,363.652 347.836,363.644 347.863,363.636 347.891,363.627 347.918,363.619 347.946,363.61 347.974,363.602 348.001,363.594 348.029,363.585 348.057,363.577 \n",
       "  348.084,363.568 348.112,363.56 348.14,363.551 348.167,363.543 348.195,363.534 348.222,363.526 348.25,363.517 348.278,363.509 348.305,363.5 348.333,363.492 \n",
       "  348.361,363.483 348.388,363.475 348.416,363.466 348.444,363.458 348.471,363.449 348.499,363.441 348.526,363.432 348.554,363.424 348.582,363.415 348.609,363.407 \n",
       "  348.637,363.398 348.665,363.389 348.692,363.381 348.72,363.372 348.748,363.364 348.775,363.355 348.803,363.346 348.83,363.338 348.858,363.329 348.886,363.321 \n",
       "  348.913,363.312 348.941,363.303 348.969,363.295 348.996,363.286 349.024,363.277 349.052,363.268 349.079,363.26 349.107,363.251 349.134,363.242 349.162,363.234 \n",
       "  349.19,363.225 349.217,363.216 349.245,363.207 349.273,363.199 349.3,363.19 349.328,363.181 349.356,363.172 349.383,363.164 349.411,363.155 349.439,363.146 \n",
       "  349.466,363.137 349.494,363.129 349.521,363.12 349.549,363.111 349.577,363.102 349.604,363.093 349.632,363.084 349.66,363.076 349.687,363.067 349.715,363.058 \n",
       "  349.743,363.049 349.77,363.04 349.798,363.031 349.825,363.022 349.853,363.013 349.881,363.005 349.908,362.996 349.936,362.987 349.964,362.978 349.991,362.969 \n",
       "  350.019,362.96 350.047,362.951 350.074,362.942 350.102,362.933 350.129,362.924 350.157,362.915 350.185,362.906 350.212,362.897 350.24,362.888 350.268,362.879 \n",
       "  350.295,362.87 350.323,362.861 350.351,362.852 350.378,362.843 350.406,362.834 350.433,362.825 350.461,362.816 350.489,362.807 350.516,362.798 350.544,362.789 \n",
       "  350.572,362.78 350.599,362.771 350.627,362.761 350.655,362.752 350.682,362.743 350.71,362.734 350.737,362.725 350.765,362.716 350.793,362.707 350.82,362.698 \n",
       "  350.848,362.688 350.876,362.679 350.903,362.67 350.931,362.661 350.959,362.652 350.986,362.643 351.014,362.633 351.041,362.624 351.069,362.615 351.097,362.606 \n",
       "  351.124,362.596 351.152,362.587 351.18,362.578 351.207,362.569 351.235,362.559 351.263,362.55 351.29,362.541 351.318,362.532 351.346,362.522 351.373,362.513 \n",
       "  351.401,362.504 351.428,362.494 351.456,362.485 351.484,362.476 351.511,362.466 351.539,362.457 351.567,362.448 351.594,362.438 351.622,362.429 351.65,362.42 \n",
       "  351.677,362.41 351.705,362.401 351.732,362.392 351.76,362.382 351.788,362.373 351.815,362.363 351.843,362.354 351.871,362.345 351.898,362.335 351.926,362.326 \n",
       "  351.954,362.316 351.981,362.307 352.009,362.297 352.036,362.288 352.064,362.278 352.092,362.269 352.119,362.259 352.147,362.25 352.175,362.24 352.202,362.231 \n",
       "  352.23,362.221 352.258,362.212 352.285,362.202 352.313,362.193 352.34,362.183 352.368,362.174 352.396,362.164 352.423,362.155 352.451,362.145 352.479,362.135 \n",
       "  352.506,362.126 352.534,362.116 352.562,362.107 352.589,362.097 352.617,362.087 352.644,362.078 352.672,362.068 352.7,362.059 352.727,362.049 352.755,362.039 \n",
       "  352.783,362.03 352.81,362.02 352.838,362.01 352.866,362.001 352.893,361.991 352.921,361.981 352.949,361.971 352.976,361.962 353.004,361.952 353.031,361.942 \n",
       "  353.059,361.933 353.087,361.923 353.114,361.913 353.142,361.903 353.17,361.894 353.197,361.884 353.225,361.874 353.253,361.864 353.28,361.854 353.308,361.845 \n",
       "  353.335,361.835 353.363,361.825 353.391,361.815 353.418,361.805 353.446,361.796 353.474,361.786 353.501,361.776 353.529,361.766 353.557,361.756 353.584,361.746 \n",
       "  353.612,361.736 353.639,361.727 353.667,361.717 353.695,361.707 353.722,361.697 353.75,361.687 353.778,361.677 353.805,361.667 353.833,361.657 353.861,361.647 \n",
       "  353.888,361.637 353.916,361.627 353.943,361.617 353.971,361.607 353.999,361.597 354.026,361.587 354.054,361.577 354.082,361.567 354.109,361.557 354.137,361.547 \n",
       "  354.165,361.537 354.192,361.527 354.22,361.517 354.247,361.507 354.275,361.497 354.303,361.487 354.33,361.477 354.358,361.467 354.386,361.457 354.413,361.447 \n",
       "  354.441,361.437 354.469,361.427 354.496,361.417 354.524,361.406 354.551,361.396 354.579,361.386 354.607,361.376 354.634,361.366 354.662,361.356 354.69,361.346 \n",
       "  354.717,361.335 354.745,361.325 354.773,361.315 354.8,361.305 354.828,361.295 354.856,361.285 354.883,361.274 354.911,361.264 354.938,361.254 354.966,361.244 \n",
       "  354.994,361.233 355.021,361.223 355.049,361.213 355.077,361.203 355.104,361.192 355.132,361.182 355.16,361.172 355.187,361.162 355.215,361.151 355.242,361.141 \n",
       "  355.27,361.131 355.298,361.12 355.325,361.11 355.353,361.1 355.381,361.089 355.408,361.079 355.436,361.069 355.464,361.058 355.491,361.048 355.519,361.038 \n",
       "  355.546,361.027 355.574,361.017 355.602,361.006 355.629,360.996 355.657,360.986 355.685,360.975 355.712,360.965 355.74,360.954 355.768,360.944 355.795,360.933 \n",
       "  355.823,360.923 355.85,360.912 355.878,360.902 355.906,360.892 355.933,360.881 355.961,360.871 355.989,360.86 356.016,360.85 356.044,360.839 356.072,360.829 \n",
       "  356.099,360.818 356.127,360.807 356.154,360.797 356.182,360.786 356.21,360.776 356.237,360.765 356.265,360.755 356.293,360.744 356.32,360.734 356.348,360.723 \n",
       "  356.376,360.712 356.403,360.702 356.431,360.691 356.459,360.68 356.486,360.67 356.514,360.659 356.541,360.649 356.569,360.638 356.597,360.627 356.624,360.617 \n",
       "  356.652,360.606 356.68,360.595 356.707,360.585 356.735,360.574 356.763,360.563 356.79,360.552 356.818,360.542 356.845,360.531 356.873,360.52 356.901,360.51 \n",
       "  356.928,360.499 356.956,360.488 356.984,360.477 357.011,360.467 357.039,360.456 357.067,360.445 357.094,360.434 357.122,360.423 357.149,360.413 357.177,360.402 \n",
       "  357.205,360.391 357.232,360.38 357.26,360.369 357.288,360.359 357.315,360.348 357.343,360.337 357.371,360.326 357.398,360.315 357.426,360.304 357.453,360.293 \n",
       "  357.481,360.282 357.509,360.272 357.536,360.261 357.564,360.25 357.592,360.239 357.619,360.228 357.647,360.217 357.675,360.206 357.702,360.195 357.73,360.184 \n",
       "  357.757,360.173 357.785,360.162 357.813,360.151 357.84,360.14 357.868,360.129 357.896,360.118 357.923,360.107 357.951,360.096 357.979,360.085 358.006,360.074 \n",
       "  358.034,360.063 358.061,360.052 358.089,360.041 358.117,360.03 358.144,360.019 358.172,360.008 358.2,359.997 358.227,359.986 358.255,359.975 358.283,359.964 \n",
       "  358.31,359.953 358.338,359.941 358.366,359.93 358.393,359.919 358.421,359.908 358.448,359.897 358.476,359.886 358.504,359.875 358.531,359.863 358.559,359.852 \n",
       "  358.587,359.841 358.614,359.83 358.642,359.819 358.67,359.808 358.697,359.796 358.725,359.785 358.752,359.774 358.78,359.763 358.808,359.751 358.835,359.74 \n",
       "  358.863,359.729 358.891,359.718 358.918,359.706 358.946,359.695 358.974,359.684 359.001,359.673 359.029,359.661 359.056,359.65 359.084,359.639 359.112,359.627 \n",
       "  359.139,359.616 359.167,359.605 359.195,359.593 359.222,359.582 359.25,359.571 359.278,359.559 359.305,359.548 359.333,359.537 359.36,359.525 359.388,359.514 \n",
       "  359.416,359.503 359.443,359.491 359.471,359.48 359.499,359.468 359.526,359.457 359.554,359.445 359.582,359.434 359.609,359.423 359.637,359.411 359.664,359.4 \n",
       "  359.692,359.388 359.72,359.377 359.747,359.365 359.775,359.354 359.803,359.342 359.83,359.331 359.858,359.319 359.886,359.308 359.913,359.296 359.941,359.285 \n",
       "  359.969,359.273 359.996,359.262 360.024,359.25 360.051,359.239 360.079,359.227 360.107,359.215 360.134,359.204 360.162,359.192 360.19,359.181 360.217,359.169 \n",
       "  360.245,359.157 360.273,359.146 360.3,359.134 360.328,359.123 360.355,359.111 360.383,359.099 360.411,359.088 360.438,359.076 360.466,359.064 360.494,359.053 \n",
       "  360.521,359.041 360.549,359.029 360.577,359.018 360.604,359.006 360.632,358.994 360.659,358.982 360.687,358.971 360.715,358.959 360.742,358.947 360.77,358.936 \n",
       "  360.798,358.924 360.825,358.912 360.853,358.9 360.881,358.888 360.908,358.877 360.936,358.865 360.963,358.853 360.991,358.841 361.019,358.829 361.046,358.818 \n",
       "  361.074,358.806 361.102,358.794 361.129,358.782 361.157,358.77 361.185,358.758 361.212,358.747 361.24,358.735 361.267,358.723 361.295,358.711 361.323,358.699 \n",
       "  361.35,358.687 361.378,358.675 361.406,358.663 361.433,358.651 361.461,358.64 361.489,358.628 361.516,358.616 361.544,358.604 361.571,358.592 361.599,358.58 \n",
       "  361.627,358.568 361.654,358.556 361.682,358.544 361.71,358.532 361.737,358.52 361.765,358.508 361.793,358.496 361.82,358.484 361.848,358.472 361.876,358.46 \n",
       "  361.903,358.448 361.931,358.436 361.958,358.424 361.986,358.412 362.014,358.4 362.041,358.387 362.069,358.375 362.097,358.363 362.124,358.351 362.152,358.339 \n",
       "  362.18,358.327 362.207,358.315 362.235,358.303 362.262,358.291 362.29,358.278 362.318,358.266 362.345,358.254 362.373,358.242 362.401,358.23 362.428,358.218 \n",
       "  362.456,358.205 362.484,358.193 362.511,358.181 362.539,358.169 362.566,358.157 362.594,358.144 362.622,358.132 362.649,358.12 362.677,358.108 362.705,358.095 \n",
       "  362.732,358.083 362.76,358.071 362.788,358.059 362.815,358.046 362.843,358.034 362.87,358.022 362.898,358.01 362.926,357.997 362.953,357.985 362.981,357.973 \n",
       "  363.009,357.96 363.036,357.948 363.064,357.936 363.092,357.923 363.119,357.911 363.147,357.898 363.174,357.886 363.202,357.874 363.23,357.861 363.257,357.849 \n",
       "  363.285,357.837 363.313,357.824 363.34,357.812 363.368,357.799 363.396,357.787 363.423,357.774 363.451,357.762 363.479,357.75 363.506,357.737 363.534,357.725 \n",
       "  363.561,357.712 363.589,357.7 363.617,357.687 363.644,357.675 363.672,357.662 363.7,357.65 363.727,357.637 363.755,357.625 363.783,357.612 363.81,357.6 \n",
       "  363.838,357.587 363.865,357.574 363.893,357.562 363.921,357.549 363.948,357.537 363.976,357.524 364.004,357.512 364.031,357.499 364.059,357.486 364.087,357.474 \n",
       "  364.114,357.461 364.142,357.449 364.169,357.436 364.197,357.423 364.225,357.411 364.252,357.398 364.28,357.385 364.308,357.373 364.335,357.36 364.363,357.347 \n",
       "  364.391,357.335 364.418,357.322 364.446,357.309 364.473,357.296 364.501,357.284 364.529,357.271 364.556,357.258 364.584,357.246 364.612,357.233 364.639,357.22 \n",
       "  364.667,357.207 364.695,357.195 364.722,357.182 364.75,357.169 364.777,357.156 364.805,357.143 364.833,357.131 364.86,357.118 364.888,357.105 364.916,357.092 \n",
       "  364.943,357.079 364.971,357.066 364.999,357.054 365.026,357.041 365.054,357.028 365.081,357.015 365.109,357.002 365.137,356.989 365.164,356.976 365.192,356.963 \n",
       "  365.22,356.951 365.247,356.938 365.275,356.925 365.303,356.912 365.33,356.899 365.358,356.886 365.386,356.873 365.413,356.86 365.441,356.847 365.468,356.834 \n",
       "  365.496,356.821 365.524,356.808 365.551,356.795 365.579,356.782 365.607,356.769 365.634,356.756 365.662,356.743 365.69,356.73 365.717,356.717 365.745,356.704 \n",
       "  365.772,356.691 365.8,356.678 365.828,356.665 365.855,356.652 365.883,356.639 365.911,356.626 365.938,356.612 365.966,356.599 365.994,356.586 366.021,356.573 \n",
       "  366.049,356.56 366.076,356.547 366.104,356.534 366.132,356.521 366.159,356.507 366.187,356.494 366.215,356.481 366.242,356.468 366.27,356.455 366.298,356.442 \n",
       "  366.325,356.428 366.353,356.415 366.38,356.402 366.408,356.389 366.436,356.376 366.463,356.362 366.491,356.349 366.519,356.336 366.546,356.323 366.574,356.309 \n",
       "  366.602,356.296 366.629,356.283 366.657,356.27 366.684,356.256 366.712,356.243 366.74,356.23 366.767,356.216 366.795,356.203 366.823,356.19 366.85,356.176 \n",
       "  366.878,356.163 366.906,356.15 366.933,356.136 366.961,356.123 366.989,356.11 367.016,356.096 367.044,356.083 367.071,356.069 367.099,356.056 367.127,356.043 \n",
       "  367.154,356.029 367.182,356.016 367.21,356.002 367.237,355.989 367.265,355.976 367.293,355.962 367.32,355.949 367.348,355.935 367.375,355.922 367.403,355.908 \n",
       "  367.431,355.895 367.458,355.881 367.486,355.868 367.514,355.854 367.541,355.841 367.569,355.827 367.597,355.814 367.624,355.8 367.652,355.787 367.679,355.773 \n",
       "  367.707,355.76 367.735,355.746 367.762,355.732 367.79,355.719 367.818,355.705 367.845,355.692 367.873,355.678 367.901,355.664 367.928,355.651 367.956,355.637 \n",
       "  367.983,355.624 368.011,355.61 368.039,355.596 368.066,355.583 368.094,355.569 368.122,355.555 368.149,355.542 368.177,355.528 368.205,355.514 368.232,355.501 \n",
       "  368.26,355.487 368.287,355.473 368.315,355.459 368.343,355.446 368.37,355.432 368.398,355.418 368.426,355.405 368.453,355.391 368.481,355.377 368.509,355.363 \n",
       "  368.536,355.349 368.564,355.336 368.591,355.322 368.619,355.308 368.647,355.294 368.674,355.281 368.702,355.267 368.73,355.253 368.757,355.239 368.785,355.225 \n",
       "  368.813,355.211 368.84,355.198 368.868,355.184 368.896,355.17 368.923,355.156 368.951,355.142 368.978,355.128 369.006,355.114 369.034,355.1 369.061,355.086 \n",
       "  369.089,355.073 369.117,355.059 369.144,355.045 369.172,355.031 369.2,355.017 369.227,355.003 369.255,354.989 369.282,354.975 369.31,354.961 369.338,354.947 \n",
       "  369.365,354.933 369.393,354.919 369.421,354.905 369.448,354.891 369.476,354.877 369.504,354.863 369.531,354.849 369.559,354.835 369.586,354.821 369.614,354.807 \n",
       "  369.642,354.793 369.669,354.779 369.697,354.765 369.725,354.751 369.752,354.736 369.78,354.722 369.808,354.708 369.835,354.694 369.863,354.68 369.89,354.666 \n",
       "  369.918,354.652 369.946,354.638 369.973,354.623 370.001,354.609 370.029,354.595 370.056,354.581 370.084,354.567 370.112,354.553 370.139,354.538 370.167,354.524 \n",
       "  370.194,354.51 370.222,354.496 370.25,354.482 370.277,354.467 370.305,354.453 370.333,354.439 370.36,354.425 370.388,354.41 370.416,354.396 370.443,354.382 \n",
       "  370.471,354.368 370.499,354.353 370.526,354.339 370.554,354.325 370.581,354.31 370.609,354.296 370.637,354.282 370.664,354.267 370.692,354.253 370.72,354.239 \n",
       "  370.747,354.224 370.775,354.21 370.803,354.196 370.83,354.181 370.858,354.167 370.885,354.153 370.913,354.138 370.941,354.124 370.968,354.109 370.996,354.095 \n",
       "  371.024,354.081 371.051,354.066 371.079,354.052 371.107,354.037 371.134,354.023 371.162,354.008 371.189,353.994 371.217,353.979 371.245,353.965 371.272,353.95 \n",
       "  371.3,353.936 371.328,353.921 371.355,353.907 371.383,353.892 371.411,353.878 371.438,353.863 371.466,353.849 371.493,353.834 371.521,353.82 371.549,353.805 \n",
       "  371.576,353.791 371.604,353.776 371.632,353.761 371.659,353.747 371.687,353.732 371.715,353.718 371.742,353.703 371.77,353.688 371.797,353.674 371.825,353.659 \n",
       "  371.853,353.645 371.88,353.63 371.908,353.615 371.936,353.601 371.963,353.586 371.991,353.571 372.019,353.557 372.046,353.542 372.074,353.527 372.101,353.513 \n",
       "  372.129,353.498 372.157,353.483 372.184,353.468 372.212,353.454 372.24,353.439 372.267,353.424 372.295,353.409 372.323,353.395 372.35,353.38 372.378,353.365 \n",
       "  372.406,353.35 372.433,353.336 372.461,353.321 372.488,353.306 372.516,353.291 372.544,353.276 372.571,353.261 372.599,353.247 372.627,353.232 372.654,353.217 \n",
       "  372.682,353.202 372.71,353.187 372.737,353.172 372.765,353.158 372.792,353.143 372.82,353.128 372.848,353.113 372.875,353.098 372.903,353.083 372.931,353.068 \n",
       "  372.958,353.053 372.986,353.038 373.014,353.023 373.041,353.008 373.069,352.993 373.096,352.978 373.124,352.963 373.152,352.949 373.179,352.934 373.207,352.919 \n",
       "  373.235,352.904 373.262,352.889 373.29,352.874 373.318,352.858 373.345,352.843 373.373,352.828 373.4,352.813 373.428,352.798 373.456,352.783 373.483,352.768 \n",
       "  373.511,352.753 373.539,352.738 373.566,352.723 373.594,352.708 373.622,352.693 373.649,352.678 373.677,352.663 373.704,352.647 373.732,352.632 373.76,352.617 \n",
       "  373.787,352.602 373.815,352.587 373.843,352.572 373.87,352.557 373.898,352.541 373.926,352.526 373.953,352.511 373.981,352.496 374.009,352.481 374.036,352.465 \n",
       "  374.064,352.45 374.091,352.435 374.119,352.42 374.147,352.405 374.174,352.389 374.202,352.374 374.23,352.359 374.257,352.344 374.285,352.328 374.313,352.313 \n",
       "  374.34,352.298 374.368,352.282 374.395,352.267 374.423,352.252 374.451,352.237 374.478,352.221 374.506,352.206 374.534,352.191 374.561,352.175 374.589,352.16 \n",
       "  374.617,352.144 374.644,352.129 374.672,352.114 374.699,352.098 374.727,352.083 374.755,352.068 374.782,352.052 374.81,352.037 374.838,352.021 374.865,352.006 \n",
       "  374.893,351.99 374.921,351.975 374.948,351.96 374.976,351.944 375.003,351.929 375.031,351.913 375.059,351.898 375.086,351.882 375.114,351.867 375.142,351.851 \n",
       "  375.169,351.836 375.197,351.82 375.225,351.805 375.252,351.789 375.28,351.774 375.307,351.758 375.335,351.743 375.363,351.727 375.39,351.712 375.418,351.696 \n",
       "  375.446,351.68 375.473,351.665 375.501,351.649 375.529,351.634 375.556,351.618 375.584,351.602 375.611,351.587 375.639,351.571 375.667,351.556 375.694,351.54 \n",
       "  375.722,351.524 375.75,351.509 375.777,351.493 375.805,351.477 375.833,351.462 375.86,351.446 375.888,351.43 375.916,351.414 375.943,351.399 375.971,351.383 \n",
       "  375.998,351.367 376.026,351.352 376.054,351.336 376.081,351.32 376.109,351.304 376.137,351.289 376.164,351.273 376.192,351.257 376.22,351.241 376.247,351.226 \n",
       "  376.275,351.21 376.302,351.194 376.33,351.178 376.358,351.162 376.385,351.147 376.413,351.131 376.441,351.115 376.468,351.099 376.496,351.083 376.524,351.067 \n",
       "  376.551,351.051 376.579,351.036 376.606,351.02 376.634,351.004 376.662,350.988 376.689,350.972 376.717,350.956 376.745,350.94 376.772,350.924 376.8,350.908 \n",
       "  376.828,350.892 376.855,350.877 376.883,350.861 376.91,350.845 376.938,350.829 376.966,350.813 376.993,350.797 377.021,350.781 377.049,350.765 377.076,350.749 \n",
       "  377.104,350.733 377.132,350.717 377.159,350.701 377.187,350.685 377.214,350.669 377.242,350.653 377.27,350.637 377.297,350.62 377.325,350.604 377.353,350.588 \n",
       "  377.38,350.572 377.408,350.556 377.436,350.54 377.463,350.524 377.491,350.508 377.519,350.492 377.546,350.476 377.574,350.459 377.601,350.443 377.629,350.427 \n",
       "  377.657,350.411 377.684,350.395 377.712,350.379 377.74,350.363 377.767,350.346 377.795,350.33 377.823,350.314 377.85,350.298 377.878,350.282 377.905,350.265 \n",
       "  377.933,350.249 377.961,350.233 377.988,350.217 378.016,350.2 378.044,350.184 378.071,350.168 378.099,350.152 378.127,350.135 378.154,350.119 378.182,350.103 \n",
       "  378.209,350.086 378.237,350.07 378.265,350.054 378.292,350.038 378.32,350.021 378.348,350.005 378.375,349.989 378.403,349.972 378.431,349.956 378.458,349.94 \n",
       "  378.486,349.923 378.513,349.907 378.541,349.89 378.569,349.874 378.596,349.858 378.624,349.841 378.652,349.825 378.679,349.808 378.707,349.792 378.735,349.776 \n",
       "  378.762,349.759 378.79,349.743 378.817,349.726 378.845,349.71 378.873,349.693 378.9,349.677 378.928,349.66 378.956,349.644 378.983,349.627 379.011,349.611 \n",
       "  379.039,349.594 379.066,349.578 379.094,349.561 379.121,349.545 379.149,349.528 379.177,349.512 379.204,349.495 379.232,349.478 379.26,349.462 379.287,349.445 \n",
       "  379.315,349.429 379.343,349.412 379.37,349.396 379.398,349.379 379.426,349.362 379.453,349.346 379.481,349.329 379.508,349.312 379.536,349.296 379.564,349.279 \n",
       "  379.591,349.263 379.619,349.246 379.647,349.229 379.674,349.213 379.702,349.196 379.73,349.179 379.757,349.162 379.785,349.146 379.812,349.129 379.84,349.112 \n",
       "  379.868,349.096 379.895,349.079 379.923,349.062 379.951,349.045 379.978,349.029 380.006,349.012 380.034,348.995 380.061,348.978 380.089,348.961 380.116,348.945 \n",
       "  380.144,348.928 380.172,348.911 380.199,348.894 380.227,348.877 380.255,348.861 380.282,348.844 380.31,348.827 380.338,348.81 380.365,348.793 380.393,348.776 \n",
       "  380.42,348.759 380.448,348.743 380.476,348.726 380.503,348.709 380.531,348.692 380.559,348.675 380.586,348.658 380.614,348.641 380.642,348.624 380.669,348.607 \n",
       "  380.697,348.59 380.724,348.573 380.752,348.556 380.78,348.539 380.807,348.523 380.835,348.506 380.863,348.489 380.89,348.472 380.918,348.455 380.946,348.438 \n",
       "  380.973,348.421 381.001,348.403 381.029,348.386 381.056,348.369 381.084,348.352 381.111,348.335 381.139,348.318 381.167,348.301 381.194,348.284 381.222,348.267 \n",
       "  381.25,348.25 381.277,348.233 381.305,348.216 381.333,348.199 381.36,348.182 381.388,348.164 381.415,348.147 381.443,348.13 381.471,348.113 381.498,348.096 \n",
       "  381.526,348.079 381.554,348.061 381.581,348.044 381.609,348.027 381.637,348.01 381.664,347.993 381.692,347.976 381.719,347.958 381.747,347.941 381.775,347.924 \n",
       "  381.802,347.907 381.83,347.889 381.858,347.872 381.885,347.855 381.913,347.838 381.941,347.82 381.968,347.803 381.996,347.786 382.023,347.769 382.051,347.751 \n",
       "  382.079,347.734 382.106,347.717 382.134,347.699 382.162,347.682 382.189,347.665 382.217,347.647 382.245,347.63 382.272,347.613 382.3,347.595 382.327,347.578 \n",
       "  382.355,347.56 382.383,347.543 382.41,347.526 382.438,347.508 382.466,347.491 382.493,347.473 382.521,347.456 382.549,347.439 382.576,347.421 382.604,347.404 \n",
       "  382.631,347.386 382.659,347.369 382.687,347.351 382.714,347.334 382.742,347.316 382.77,347.299 382.797,347.281 382.825,347.264 382.853,347.246 382.88,347.229 \n",
       "  382.908,347.211 382.936,347.194 382.963,347.176 382.991,347.159 383.018,347.141 383.046,347.124 383.074,347.106 383.101,347.089 383.129,347.071 383.157,347.053 \n",
       "  383.184,347.036 383.212,347.018 383.24,347.001 383.267,346.983 383.295,346.965 383.322,346.948 383.35,346.93 383.378,346.912 383.405,346.895 383.433,346.877 \n",
       "  383.461,346.859 383.488,346.842 383.516,346.824 383.544,346.806 383.571,346.789 383.599,346.771 383.626,346.753 383.654,346.736 383.682,346.718 383.709,346.7 \n",
       "  383.737,346.682 383.765,346.665 383.792,346.647 383.82,346.629 383.848,346.611 383.875,346.594 383.903,346.576 383.93,346.558 383.958,346.54 383.986,346.522 \n",
       "  384.013,346.505 384.041,346.487 384.069,346.469 384.096,346.451 384.124,346.433 384.152,346.415 384.179,346.398 384.207,346.38 384.234,346.362 384.262,346.344 \n",
       "  384.29,346.326 384.317,346.308 384.345,346.29 384.373,346.272 384.4,346.255 384.428,346.237 384.456,346.219 384.483,346.201 384.511,346.183 384.539,346.165 \n",
       "  384.566,346.147 384.594,346.129 384.621,346.111 384.649,346.093 384.677,346.075 384.704,346.057 384.732,346.039 384.76,346.021 384.787,346.003 384.815,345.985 \n",
       "  384.843,345.967 384.87,345.949 384.898,345.931 384.925,345.913 384.953,345.895 384.981,345.877 385.008,345.859 385.036,345.841 385.064,345.822 385.091,345.804 \n",
       "  385.119,345.786 385.147,345.768 385.174,345.75 385.202,345.732 385.229,345.714 385.257,345.696 385.285,345.678 385.312,345.659 385.34,345.641 385.368,345.623 \n",
       "  385.395,345.605 385.423,345.587 385.451,345.569 385.478,345.55 385.506,345.532 385.533,345.514 385.561,345.496 385.589,345.478 385.616,345.459 385.644,345.441 \n",
       "  385.672,345.423 385.699,345.405 385.727,345.386 385.755,345.368 385.782,345.35 385.81,345.331 385.837,345.313 385.865,345.295 385.893,345.277 385.92,345.258 \n",
       "  385.948,345.24 385.976,345.222 386.003,345.203 386.031,345.185 386.059,345.167 386.086,345.148 386.114,345.13 386.141,345.112 386.169,345.093 386.197,345.075 \n",
       "  386.224,345.056 386.252,345.038 386.28,345.02 386.307,345.001 386.335,344.983 386.363,344.964 386.39,344.946 386.418,344.928 386.446,344.909 386.473,344.891 \n",
       "  386.501,344.872 386.528,344.854 386.556,344.835 386.584,344.817 386.611,344.798 386.639,344.78 386.667,344.761 386.694,344.743 386.722,344.724 386.75,344.706 \n",
       "  386.777,344.687 386.805,344.669 386.832,344.65 386.86,344.632 386.888,344.613 386.915,344.594 386.943,344.576 386.971,344.557 386.998,344.539 387.026,344.52 \n",
       "  387.054,344.501 387.081,344.483 387.109,344.464 387.136,344.446 387.164,344.427 387.192,344.408 387.219,344.39 387.247,344.371 387.275,344.352 387.302,344.334 \n",
       "  387.33,344.315 387.358,344.296 387.385,344.278 387.413,344.259 387.44,344.24 387.468,344.222 387.496,344.203 387.523,344.184 387.551,344.165 387.579,344.147 \n",
       "  387.606,344.128 387.634,344.109 387.662,344.09 387.689,344.072 387.717,344.053 387.744,344.034 387.772,344.015 387.8,343.996 387.827,343.978 387.855,343.959 \n",
       "  387.883,343.94 387.91,343.921 387.938,343.902 387.966,343.883 387.993,343.865 388.021,343.846 388.049,343.827 388.076,343.808 388.104,343.789 388.131,343.77 \n",
       "  388.159,343.751 388.187,343.732 388.214,343.714 388.242,343.695 388.27,343.676 388.297,343.657 388.325,343.638 388.353,343.619 388.38,343.6 388.408,343.581 \n",
       "  388.435,343.562 388.463,343.543 388.491,343.524 388.518,343.505 388.546,343.486 388.574,343.467 388.601,343.448 388.629,343.429 388.657,343.41 388.684,343.391 \n",
       "  388.712,343.372 388.739,343.353 388.767,343.334 388.795,343.315 388.822,343.296 388.85,343.277 388.878,343.258 388.905,343.239 388.933,343.219 388.961,343.2 \n",
       "  388.988,343.181 389.016,343.162 389.043,343.143 389.071,343.124 389.099,343.105 389.126,343.086 389.154,343.066 389.182,343.047 389.209,343.028 389.237,343.009 \n",
       "  389.265,342.99 389.292,342.971 389.32,342.951 389.347,342.932 389.375,342.913 389.403,342.894 389.43,342.875 389.458,342.855 389.486,342.836 389.513,342.817 \n",
       "  389.541,342.798 389.569,342.778 389.596,342.759 389.624,342.74 389.651,342.72 389.679,342.701 389.707,342.682 389.734,342.663 389.762,342.643 389.79,342.624 \n",
       "  389.817,342.605 389.845,342.585 389.873,342.566 389.9,342.547 389.928,342.527 389.956,342.508 389.983,342.489 390.011,342.469 390.038,342.45 390.066,342.43 \n",
       "  390.094,342.411 390.121,342.392 390.149,342.372 390.177,342.353 390.204,342.333 390.232,342.314 390.26,342.294 390.287,342.275 390.315,342.256 390.342,342.236 \n",
       "  390.37,342.217 390.398,342.197 390.425,342.178 390.453,342.158 390.481,342.139 390.508,342.119 390.536,342.1 390.564,342.08 390.591,342.061 390.619,342.041 \n",
       "  390.646,342.022 390.674,342.002 390.702,341.982 390.729,341.963 390.757,341.943 390.785,341.924 390.812,341.904 390.84,341.885 390.868,341.865 390.895,341.845 \n",
       "  390.923,341.826 390.95,341.806 390.978,341.786 391.006,341.767 391.033,341.747 391.061,341.728 391.089,341.708 391.116,341.688 391.144,341.669 391.172,341.649 \n",
       "  391.199,341.629 391.227,341.61 391.254,341.59 391.282,341.57 391.31,341.55 391.337,341.531 391.365,341.511 391.393,341.491 391.42,341.471 391.448,341.452 \n",
       "  391.476,341.432 391.503,341.412 391.531,341.392 391.559,341.373 391.586,341.353 391.614,341.333 391.641,341.313 391.669,341.293 391.697,341.274 391.724,341.254 \n",
       "  391.752,341.234 391.78,341.214 391.807,341.194 391.835,341.174 391.863,341.155 391.89,341.135 391.918,341.115 391.945,341.095 391.973,341.075 392.001,341.055 \n",
       "  392.028,341.035 392.056,341.015 392.084,340.995 392.111,340.976 392.139,340.956 392.167,340.936 392.194,340.916 392.222,340.896 392.249,340.876 392.277,340.856 \n",
       "  392.305,340.836 392.332,340.816 392.36,340.796 392.388,340.776 392.415,340.756 392.443,340.736 392.471,340.716 392.498,340.696 392.526,340.676 392.553,340.656 \n",
       "  392.581,340.636 392.609,340.616 392.636,340.596 392.664,340.576 392.692,340.555 392.719,340.535 392.747,340.515 392.775,340.495 392.802,340.475 392.83,340.455 \n",
       "  392.857,340.435 392.885,340.415 392.913,340.395 392.94,340.374 392.968,340.354 392.996,340.334 393.023,340.314 393.051,340.294 393.079,340.274 393.106,340.253 \n",
       "  393.134,340.233 393.161,340.213 393.189,340.193 393.217,340.173 393.244,340.152 393.272,340.132 393.3,340.112 393.327,340.092 393.355,340.072 393.383,340.051 \n",
       "  393.41,340.031 393.438,340.011 393.466,339.99 393.493,339.97 393.521,339.95 393.548,339.93 393.576,339.909 393.604,339.889 393.631,339.869 393.659,339.848 \n",
       "  393.687,339.828 393.714,339.808 393.742,339.787 393.77,339.767 393.797,339.747 393.825,339.726 393.852,339.706 393.88,339.685 393.908,339.665 393.935,339.645 \n",
       "  393.963,339.624 393.991,339.604 394.018,339.583 394.046,339.563 394.074,339.543 394.101,339.522 394.129,339.502 394.156,339.481 394.184,339.461 394.212,339.44 \n",
       "  394.239,339.42 394.267,339.399 394.295,339.379 394.322,339.358 394.35,339.338 394.378,339.317 394.405,339.297 394.433,339.276 394.46,339.256 394.488,339.235 \n",
       "  394.516,339.215 394.543,339.194 394.571,339.173 394.599,339.153 394.626,339.132 394.654,339.112 394.682,339.091 394.709,339.071 394.737,339.05 394.764,339.029 \n",
       "  394.792,339.009 394.82,338.988 394.847,338.967 394.875,338.947 394.903,338.926 394.93,338.905 394.958,338.885 394.986,338.864 395.013,338.843 395.041,338.823 \n",
       "  395.069,338.802 395.096,338.781 395.124,338.761 395.151,338.74 395.179,338.719 395.207,338.698 395.234,338.678 395.262,338.657 395.29,338.636 395.317,338.615 \n",
       "  395.345,338.595 395.373,338.574 395.4,338.553 395.428,338.532 395.455,338.512 395.483,338.491 395.511,338.47 395.538,338.449 395.566,338.428 395.594,338.407 \n",
       "  395.621,338.387 395.649,338.366 395.677,338.345 395.704,338.324 395.732,338.303 395.759,338.282 395.787,338.261 395.815,338.241 395.842,338.22 395.87,338.199 \n",
       "  395.898,338.178 395.925,338.157 395.953,338.136 395.981,338.115 396.008,338.094 396.036,338.073 396.063,338.052 396.091,338.031 396.119,338.01 396.146,337.989 \n",
       "  396.174,337.968 396.202,337.947 396.229,337.926 396.257,337.905 396.285,337.884 396.312,337.863 396.34,337.842 396.367,337.821 396.395,337.8 396.423,337.779 \n",
       "  396.45,337.758 396.478,337.737 396.506,337.716 396.533,337.695 396.561,337.674 396.589,337.653 396.616,337.632 396.644,337.611 396.671,337.589 396.699,337.568 \n",
       "  396.727,337.547 396.754,337.526 396.782,337.505 396.81,337.484 396.837,337.463 396.865,337.441 396.893,337.42 396.92,337.399 396.948,337.378 396.976,337.357 \n",
       "  397.003,337.335 397.031,337.314 397.058,337.293 397.086,337.272 397.114,337.251 397.141,337.229 397.169,337.208 397.197,337.187 397.224,337.166 397.252,337.144 \n",
       "  397.28,337.123 397.307,337.102 397.335,337.081 397.362,337.059 397.39,337.038 397.418,337.017 397.445,336.995 397.473,336.974 397.501,336.953 397.528,336.931 \n",
       "  397.556,336.91 397.584,336.889 397.611,336.867 397.639,336.846 397.666,336.825 397.694,336.803 397.722,336.782 397.749,336.76 397.777,336.739 397.805,336.718 \n",
       "  397.832,336.696 397.86,336.675 397.888,336.653 397.915,336.632 397.943,336.61 397.97,336.589 397.998,336.567 398.026,336.546 398.053,336.525 398.081,336.503 \n",
       "  398.109,336.482 398.136,336.46 398.164,336.439 398.192,336.417 398.219,336.396 398.247,336.374 398.274,336.352 398.302,336.331 398.33,336.309 398.357,336.288 \n",
       "  398.385,336.266 398.413,336.245 398.44,336.223 398.468,336.202 398.496,336.18 398.523,336.158 398.551,336.137 398.579,336.115 398.606,336.094 398.634,336.072 \n",
       "  398.661,336.05 398.689,336.029 398.717,336.007 398.744,335.985 398.772,335.964 398.8,335.942 398.827,335.92 398.855,335.899 398.883,335.877 398.91,335.855 \n",
       "  398.938,335.834 398.965,335.812 398.993,335.79 399.021,335.768 399.048,335.747 399.076,335.725 399.104,335.703 399.131,335.681 399.159,335.66 399.187,335.638 \n",
       "  399.214,335.616 399.242,335.594 399.269,335.573 399.297,335.551 399.325,335.529 399.352,335.507 399.38,335.485 399.408,335.463 399.435,335.442 399.463,335.42 \n",
       "  399.491,335.398 399.518,335.376 399.546,335.354 399.573,335.332 399.601,335.31 399.629,335.289 399.656,335.267 399.684,335.245 399.712,335.223 399.739,335.201 \n",
       "  399.767,335.179 399.795,335.157 399.822,335.135 399.85,335.113 399.877,335.091 399.905,335.069 399.933,335.047 399.96,335.025 399.988,335.003 400.016,334.981 \n",
       "  400.043,334.959 400.071,334.937 400.099,334.915 400.126,334.893 400.154,334.871 400.181,334.849 400.209,334.827 400.237,334.805 400.264,334.783 400.292,334.761 \n",
       "  400.32,334.739 400.347,334.717 400.375,334.695 400.403,334.673 400.43,334.651 400.458,334.629 400.486,334.607 400.513,334.584 400.541,334.562 400.568,334.54 \n",
       "  400.596,334.518 400.624,334.496 400.651,334.474 400.679,334.452 400.707,334.429 400.734,334.407 400.762,334.385 400.79,334.363 400.817,334.341 400.845,334.318 \n",
       "  400.872,334.296 400.9,334.274 400.928,334.252 400.955,334.23 400.983,334.207 401.011,334.185 401.038,334.163 401.066,334.141 401.094,334.118 401.121,334.096 \n",
       "  401.149,334.074 401.176,334.051 401.204,334.029 401.232,334.007 401.259,333.985 401.287,333.962 401.315,333.94 401.342,333.918 401.37,333.895 401.398,333.873 \n",
       "  401.425,333.851 401.453,333.828 401.48,333.806 401.508,333.783 401.536,333.761 401.563,333.739 401.591,333.716 401.619,333.694 401.646,333.671 401.674,333.649 \n",
       "  401.702,333.627 401.729,333.604 401.757,333.582 401.784,333.559 401.812,333.537 401.84,333.514 401.867,333.492 401.895,333.469 401.923,333.447 401.95,333.424 \n",
       "  401.978,333.402 402.006,333.379 402.033,333.357 402.061,333.334 402.089,333.312 402.116,333.289 402.144,333.267 402.171,333.244 402.199,333.222 402.227,333.199 \n",
       "  402.254,333.177 402.282,333.154 402.31,333.131 402.337,333.109 402.365,333.086 402.393,333.064 402.42,333.041 402.448,333.018 402.475,332.996 402.503,332.973 \n",
       "  402.531,332.95 402.558,332.928 402.586,332.905 402.614,332.883 402.641,332.86 402.669,332.837 402.697,332.814 402.724,332.792 402.752,332.769 402.779,332.746 \n",
       "  402.807,332.724 402.835,332.701 402.862,332.678 402.89,332.655 402.918,332.633 402.945,332.61 402.973,332.587 403.001,332.564 403.028,332.542 403.056,332.519 \n",
       "  403.083,332.496 403.111,332.473 403.139,332.451 403.166,332.428 403.194,332.405 403.222,332.382 403.249,332.359 403.277,332.336 403.305,332.314 403.332,332.291 \n",
       "  403.36,332.268 403.387,332.245 403.415,332.222 403.443,332.199 403.47,332.176 403.498,332.153 403.526,332.131 403.553,332.108 403.581,332.085 403.609,332.062 \n",
       "  403.636,332.039 403.664,332.016 403.691,331.993 403.719,331.97 403.747,331.947 403.774,331.924 403.802,331.901 403.83,331.878 403.857,331.855 403.885,331.832 \n",
       "  403.913,331.809 403.94,331.786 403.968,331.763 403.996,331.74 404.023,331.717 404.051,331.694 404.078,331.671 404.106,331.648 404.134,331.625 404.161,331.602 \n",
       "  404.189,331.579 404.217,331.556 404.244,331.533 404.272,331.509 404.3,331.486 404.327,331.463 404.355,331.44 404.382,331.417 404.41,331.394 404.438,331.371 \n",
       "  404.465,331.348 404.493,331.324 404.521,331.301 404.548,331.278 404.576,331.255 404.604,331.232 404.631,331.209 404.659,331.185 404.686,331.162 404.714,331.139 \n",
       "  404.742,331.116 404.769,331.092 404.797,331.069 404.825,331.046 404.852,331.023 404.88,330.999 404.908,330.976 404.935,330.953 404.963,330.93 404.99,330.906 \n",
       "  405.018,330.883 405.046,330.86 405.073,330.837 405.101,330.813 405.129,330.79 405.156,330.767 405.184,330.743 405.212,330.72 405.239,330.697 405.267,330.673 \n",
       "  405.294,330.65 405.322,330.626 405.35,330.603 405.377,330.58 405.405,330.556 405.433,330.533 405.46,330.509 405.488,330.486 405.516,330.463 405.543,330.439 \n",
       "  405.571,330.416 405.599,330.392 405.626,330.369 405.654,330.345 405.681,330.322 405.709,330.298 405.737,330.275 405.764,330.252 405.792,330.228 405.82,330.205 \n",
       "  405.847,330.181 405.875,330.157 405.903,330.134 405.93,330.11 405.958,330.087 405.985,330.063 406.013,330.04 406.041,330.016 406.068,329.993 406.096,329.969 \n",
       "  406.124,329.946 406.151,329.922 406.179,329.898 406.207,329.875 406.234,329.851 406.262,329.828 406.289,329.804 406.317,329.78 406.345,329.757 406.372,329.733 \n",
       "  406.4,329.709 406.428,329.686 406.455,329.662 406.483,329.638 406.511,329.615 406.538,329.591 406.566,329.567 406.593,329.544 406.621,329.52 406.649,329.496 \n",
       "  406.676,329.472 406.704,329.449 406.732,329.425 406.759,329.401 406.787,329.377 406.815,329.354 406.842,329.33 406.87,329.306 406.897,329.282 406.925,329.259 \n",
       "  406.953,329.235 406.98,329.211 407.008,329.187 407.036,329.163 407.063,329.14 407.091,329.116 407.119,329.092 407.146,329.068 407.174,329.044 407.201,329.02 \n",
       "  407.229,328.996 407.257,328.973 407.284,328.949 407.312,328.925 407.34,328.901 407.367,328.877 407.395,328.853 407.423,328.829 407.45,328.805 407.478,328.781 \n",
       "  407.506,328.757 407.533,328.733 407.561,328.709 407.588,328.685 407.616,328.661 407.644,328.638 407.671,328.614 407.699,328.59 407.727,328.566 407.754,328.542 \n",
       "  407.782,328.518 407.81,328.493 407.837,328.469 407.865,328.445 407.892,328.421 407.92,328.397 407.948,328.373 407.975,328.349 408.003,328.325 408.031,328.301 \n",
       "  408.058,328.277 408.086,328.253 408.114,328.229 408.141,328.205 408.169,328.181 408.196,328.156 408.224,328.132 408.252,328.108 408.279,328.084 408.307,328.06 \n",
       "  408.335,328.036 408.362,328.012 408.39,327.987 408.418,327.963 408.445,327.939 408.473,327.915 408.5,327.891 408.528,327.866 408.556,327.842 408.583,327.818 \n",
       "  408.611,327.794 408.639,327.77 408.666,327.745 408.694,327.721 408.722,327.697 408.749,327.673 408.777,327.648 408.804,327.624 408.832,327.6 408.86,327.575 \n",
       "  408.887,327.551 408.915,327.527 408.943,327.502 408.97,327.478 408.998,327.454 409.026,327.429 409.053,327.405 409.081,327.381 409.109,327.356 409.136,327.332 \n",
       "  409.164,327.308 409.191,327.283 409.219,327.259 409.247,327.235 409.274,327.21 409.302,327.186 409.33,327.161 409.357,327.137 409.385,327.112 409.413,327.088 \n",
       "  409.44,327.064 409.468,327.039 409.495,327.015 409.523,326.99 409.551,326.966 409.578,326.941 409.606,326.917 409.634,326.892 409.661,326.868 409.689,326.843 \n",
       "  409.717,326.819 409.744,326.794 409.772,326.77 409.799,326.745 409.827,326.721 409.855,326.696 409.882,326.671 409.91,326.647 409.938,326.622 409.965,326.598 \n",
       "  409.993,326.573 410.021,326.549 410.048,326.524 410.076,326.499 410.103,326.475 410.131,326.45 410.159,326.425 410.186,326.401 410.214,326.376 410.242,326.351 \n",
       "  410.269,326.327 410.297,326.302 410.325,326.277 410.352,326.253 410.38,326.228 410.407,326.203 410.435,326.179 410.463,326.154 410.49,326.129 410.518,326.105 \n",
       "  410.546,326.08 410.573,326.055 410.601,326.03 410.629,326.006 410.656,325.981 410.684,325.956 410.711,325.931 410.739,325.906 410.767,325.882 410.794,325.857 \n",
       "  410.822,325.832 410.85,325.807 410.877,325.782 410.905,325.758 410.933,325.733 410.96,325.708 410.988,325.683 411.016,325.658 411.043,325.633 411.071,325.608 \n",
       "  411.098,325.584 411.126,325.559 411.154,325.534 411.181,325.509 411.209,325.484 411.237,325.459 411.264,325.434 411.292,325.409 411.32,325.384 411.347,325.359 \n",
       "  411.375,325.334 411.402,325.309 411.43,325.284 411.458,325.26 411.485,325.235 411.513,325.21 411.541,325.185 411.568,325.16 411.596,325.135 411.624,325.11 \n",
       "  411.651,325.085 411.679,325.059 411.706,325.034 411.734,325.009 411.762,324.984 411.789,324.959 411.817,324.934 411.845,324.909 411.872,324.884 411.9,324.859 \n",
       "  411.928,324.834 411.955,324.809 411.983,324.784 412.01,324.759 412.038,324.733 412.066,324.708 412.093,324.683 412.121,324.658 412.149,324.633 412.176,324.608 \n",
       "  412.204,324.583 412.232,324.557 412.259,324.532 412.287,324.507 412.314,324.482 412.342,324.457 412.37,324.431 412.397,324.406 412.425,324.381 412.453,324.356 \n",
       "  412.48,324.33 412.508,324.305 412.536,324.28 412.563,324.255 412.591,324.229 412.619,324.204 412.646,324.179 412.674,324.154 412.701,324.128 412.729,324.103 \n",
       "  412.757,324.078 412.784,324.052 412.812,324.027 412.84,324.002 412.867,323.976 412.895,323.951 412.923,323.926 412.95,323.9 412.978,323.875 413.005,323.85 \n",
       "  413.033,323.824 413.061,323.799 413.088,323.773 413.116,323.748 413.144,323.723 413.171,323.697 413.199,323.672 413.227,323.646 413.254,323.621 413.282,323.595 \n",
       "  413.309,323.57 413.337,323.544 413.365,323.519 413.392,323.494 413.42,323.468 413.448,323.443 413.475,323.417 413.503,323.392 413.531,323.366 413.558,323.341 \n",
       "  413.586,323.315 413.613,323.289 413.641,323.264 413.669,323.238 413.696,323.213 413.724,323.187 413.752,323.162 413.779,323.136 413.807,323.111 413.835,323.085 \n",
       "  413.862,323.059 413.89,323.034 413.917,323.008 413.945,322.982 413.973,322.957 414,322.931 414.028,322.906 414.056,322.88 414.083,322.854 414.111,322.829 \n",
       "  414.139,322.803 414.166,322.777 414.194,322.752 414.221,322.726 414.249,322.7 414.277,322.674 414.304,322.649 414.332,322.623 414.36,322.597 414.387,322.572 \n",
       "  414.415,322.546 414.443,322.52 414.47,322.494 414.498,322.469 414.526,322.443 414.553,322.417 414.581,322.391 414.608,322.365 414.636,322.34 414.664,322.314 \n",
       "  414.691,322.288 414.719,322.262 414.747,322.236 414.774,322.211 414.802,322.185 414.83,322.159 414.857,322.133 414.885,322.107 414.912,322.081 414.94,322.055 \n",
       "  414.968,322.029 414.995,322.004 415.023,321.978 415.051,321.952 415.078,321.926 415.106,321.9 415.134,321.874 415.161,321.848 415.189,321.822 415.216,321.796 \n",
       "  415.244,321.77 415.272,321.744 415.299,321.718 415.327,321.692 415.355,321.666 415.382,321.64 415.41,321.614 415.438,321.588 415.465,321.562 415.493,321.536 \n",
       "  415.52,321.51 415.548,321.484 415.576,321.458 415.603,321.432 415.631,321.406 415.659,321.38 415.686,321.354 415.714,321.328 415.742,321.302 415.769,321.276 \n",
       "  415.797,321.249 415.824,321.223 415.852,321.197 415.88,321.171 415.907,321.145 415.935,321.119 415.963,321.093 415.99,321.067 416.018,321.04 416.046,321.014 \n",
       "  416.073,320.988 416.101,320.962 416.129,320.936 416.156,320.909 416.184,320.883 416.211,320.857 416.239,320.831 416.267,320.805 416.294,320.778 416.322,320.752 \n",
       "  416.35,320.726 416.377,320.7 416.405,320.673 416.433,320.647 416.46,320.621 416.488,320.594 416.515,320.568 416.543,320.542 416.571,320.516 416.598,320.489 \n",
       "  416.626,320.463 416.654,320.437 416.681,320.41 416.709,320.384 416.737,320.358 416.764,320.331 416.792,320.305 416.819,320.278 416.847,320.252 416.875,320.226 \n",
       "  416.902,320.199 416.93,320.173 416.958,320.147 416.985,320.12 417.013,320.094 417.041,320.067 417.068,320.041 417.096,320.014 417.123,319.988 417.151,319.961 \n",
       "  417.179,319.935 417.206,319.909 417.234,319.882 417.262,319.856 417.289,319.829 417.317,319.803 417.345,319.776 417.372,319.75 417.4,319.723 417.427,319.697 \n",
       "  417.455,319.67 417.483,319.643 417.51,319.617 417.538,319.59 417.566,319.564 417.593,319.537 417.621,319.511 417.649,319.484 417.676,319.457 417.704,319.431 \n",
       "  417.731,319.404 417.759,319.378 417.787,319.351 417.814,319.324 417.842,319.298 417.87,319.271 417.897,319.244 417.925,319.218 417.953,319.191 417.98,319.164 \n",
       "  418.008,319.138 418.036,319.111 418.063,319.084 418.091,319.058 418.118,319.031 418.146,319.004 418.174,318.977 418.201,318.951 418.229,318.924 418.257,318.897 \n",
       "  418.284,318.87 418.312,318.844 418.34,318.817 418.367,318.79 418.395,318.763 418.422,318.737 418.45,318.71 418.478,318.683 418.505,318.656 418.533,318.629 \n",
       "  418.561,318.603 418.588,318.576 418.616,318.549 418.644,318.522 418.671,318.495 418.699,318.468 418.726,318.441 418.754,318.415 418.782,318.388 418.809,318.361 \n",
       "  418.837,318.334 418.865,318.307 418.892,318.28 418.92,318.253 418.948,318.226 418.975,318.199 419.003,318.172 419.03,318.145 419.058,318.118 419.086,318.092 \n",
       "  419.113,318.065 419.141,318.038 419.169,318.011 419.196,317.984 419.224,317.957 419.252,317.93 419.279,317.903 419.307,317.876 419.334,317.849 419.362,317.821 \n",
       "  419.39,317.794 419.417,317.767 419.445,317.74 419.473,317.713 419.5,317.686 419.528,317.659 419.556,317.632 419.583,317.605 419.611,317.578 419.639,317.551 \n",
       "  419.666,317.524 419.694,317.496 419.721,317.469 419.749,317.442 419.777,317.415 419.804,317.388 419.832,317.361 419.86,317.334 419.887,317.306 419.915,317.279 \n",
       "  419.943,317.252 419.97,317.225 419.998,317.198 420.025,317.17 420.053,317.143 420.081,317.116 420.108,317.089 420.136,317.062 420.164,317.034 420.191,317.007 \n",
       "  420.219,316.98 420.247,316.953 420.274,316.925 420.302,316.898 420.329,316.871 420.357,316.843 420.385,316.816 420.412,316.789 420.44,316.761 420.468,316.734 \n",
       "  420.495,316.707 420.523,316.679 420.551,316.652 420.578,316.625 420.606,316.597 420.633,316.57 420.661,316.543 420.689,316.515 420.716,316.488 420.744,316.461 \n",
       "  420.772,316.433 420.799,316.406 420.827,316.378 420.855,316.351 420.882,316.323 420.91,316.296 420.937,316.269 420.965,316.241 420.993,316.214 421.02,316.186 \n",
       "  421.048,316.159 421.076,316.131 421.103,316.104 421.131,316.076 421.159,316.049 421.186,316.021 421.214,315.994 421.241,315.966 421.269,315.939 421.297,315.911 \n",
       "  421.324,315.884 421.352,315.856 421.38,315.828 421.407,315.801 421.435,315.773 421.463,315.746 421.49,315.718 421.518,315.691 421.546,315.663 421.573,315.635 \n",
       "  421.601,315.608 421.628,315.58 421.656,315.552 421.684,315.525 421.711,315.497 421.739,315.469 421.767,315.442 421.794,315.414 421.822,315.386 421.85,315.359 \n",
       "  421.877,315.331 421.905,315.303 421.932,315.276 421.96,315.248 421.988,315.22 422.015,315.193 422.043,315.165 422.071,315.137 422.098,315.109 422.126,315.082 \n",
       "  422.154,315.054 422.181,315.026 422.209,314.998 422.236,314.97 422.264,314.943 422.292,314.915 422.319,314.887 422.347,314.859 422.375,314.831 422.402,314.804 \n",
       "  422.43,314.776 422.458,314.748 422.485,314.72 422.513,314.692 422.54,314.664 422.568,314.636 422.596,314.609 422.623,314.581 422.651,314.553 422.679,314.525 \n",
       "  422.706,314.497 422.734,314.469 422.762,314.441 422.789,314.413 422.817,314.385 422.844,314.357 422.872,314.329 422.9,314.301 422.927,314.273 422.955,314.246 \n",
       "  422.983,314.218 423.01,314.19 423.038,314.162 423.066,314.134 423.093,314.106 423.121,314.078 423.149,314.05 423.176,314.021 423.204,313.993 423.231,313.965 \n",
       "  423.259,313.937 423.287,313.909 423.314,313.881 423.342,313.853 423.37,313.825 423.397,313.797 423.425,313.769 423.453,313.741 423.48,313.713 423.508,313.685 \n",
       "  423.535,313.656 423.563,313.628 423.591,313.6 423.618,313.572 423.646,313.544 423.674,313.516 423.701,313.488 423.729,313.459 423.757,313.431 423.784,313.403 \n",
       "  423.812,313.375 423.839,313.347 423.867,313.318 423.895,313.29 423.922,313.262 423.95,313.234 423.978,313.205 424.005,313.177 424.033,313.149 424.061,313.121 \n",
       "  424.088,313.092 424.116,313.064 424.143,313.036 424.171,313.008 424.199,312.979 424.226,312.951 424.254,312.923 424.282,312.894 424.309,312.866 424.337,312.838 \n",
       "  424.365,312.809 424.392,312.781 424.42,312.753 424.447,312.724 424.475,312.696 424.503,312.668 424.53,312.639 424.558,312.611 424.586,312.582 424.613,312.554 \n",
       "  424.641,312.526 424.669,312.497 424.696,312.469 424.724,312.44 424.751,312.412 424.779,312.383 424.807,312.355 424.834,312.326 424.862,312.298 424.89,312.27 \n",
       "  424.917,312.241 424.945,312.213 424.973,312.184 425,312.156 425.028,312.127 425.056,312.099 425.083,312.07 425.111,312.041 425.138,312.013 425.166,311.984 \n",
       "  425.194,311.956 425.221,311.927 425.249,311.899 425.277,311.87 425.304,311.841 425.332,311.813 425.36,311.784 425.387,311.756 425.415,311.727 425.442,311.698 \n",
       "  425.47,311.67 425.498,311.641 425.525,311.613 425.553,311.584 425.581,311.555 425.608,311.527 425.636,311.498 425.664,311.469 425.691,311.441 425.719,311.412 \n",
       "  425.746,311.383 425.774,311.354 425.802,311.326 425.829,311.297 425.857,311.268 425.885,311.24 425.912,311.211 425.94,311.182 425.968,311.153 425.995,311.125 \n",
       "  426.023,311.096 426.05,311.067 426.078,311.038 426.106,311.009 426.133,310.981 426.161,310.952 426.189,310.923 426.216,310.894 426.244,310.865 426.272,310.836 \n",
       "  426.299,310.808 426.327,310.779 426.354,310.75 426.382,310.721 426.41,310.692 426.437,310.663 426.465,310.634 426.493,310.605 426.52,310.577 426.548,310.548 \n",
       "  426.576,310.519 426.603,310.49 426.631,310.461 426.659,310.432 426.686,310.403 426.714,310.374 426.741,310.345 426.769,310.316 426.797,310.287 426.824,310.258 \n",
       "  426.852,310.229 426.88,310.2 426.907,310.171 426.935,310.142 426.963,310.113 426.99,310.084 427.018,310.055 427.045,310.026 427.073,309.997 427.101,309.968 \n",
       "  427.128,309.939 427.156,309.91 427.184,309.881 427.211,309.852 427.239,309.823 427.267,309.793 427.294,309.764 427.322,309.735 427.349,309.706 427.377,309.677 \n",
       "  427.405,309.648 427.432,309.619 427.46,309.59 427.488,309.56 427.515,309.531 427.543,309.502 427.571,309.473 427.598,309.444 427.626,309.415 427.653,309.385 \n",
       "  427.681,309.356 427.709,309.327 427.736,309.298 427.764,309.268 427.792,309.239 427.819,309.21 427.847,309.181 427.875,309.152 427.902,309.122 427.93,309.093 \n",
       "  427.957,309.064 427.985,309.034 428.013,309.005 428.04,308.976 428.068,308.947 428.096,308.917 428.123,308.888 428.151,308.859 428.179,308.829 428.206,308.8 \n",
       "  428.234,308.771 428.261,308.741 428.289,308.712 428.317,308.682 428.344,308.653 428.372,308.624 428.4,308.594 428.427,308.565 428.455,308.535 428.483,308.506 \n",
       "  428.51,308.477 428.538,308.447 428.566,308.418 428.593,308.388 428.621,308.359 428.648,308.329 428.676,308.3 428.704,308.27 428.731,308.241 428.759,308.212 \n",
       "  428.787,308.182 428.814,308.153 428.842,308.123 428.87,308.093 428.897,308.064 428.925,308.034 428.952,308.005 428.98,307.975 429.008,307.946 429.035,307.916 \n",
       "  429.063,307.887 429.091,307.857 429.118,307.828 429.146,307.798 429.174,307.768 429.201,307.739 429.229,307.709 429.256,307.68 429.284,307.65 429.312,307.62 \n",
       "  429.339,307.591 429.367,307.561 429.395,307.531 429.422,307.502 429.45,307.472 429.478,307.442 429.505,307.413 429.533,307.383 429.56,307.353 429.588,307.324 \n",
       "  429.616,307.294 429.643,307.264 429.671,307.234 429.699,307.205 429.726,307.175 429.754,307.145 429.782,307.115 429.809,307.086 429.837,307.056 429.864,307.026 \n",
       "  429.892,306.996 429.92,306.967 429.947,306.937 429.975,306.907 430.003,306.877 430.03,306.847 430.058,306.817 430.086,306.788 430.113,306.758 430.141,306.728 \n",
       "  430.169,306.698 430.196,306.668 430.224,306.638 430.251,306.608 430.279,306.579 430.307,306.549 430.334,306.519 430.362,306.489 430.39,306.459 430.417,306.429 \n",
       "  430.445,306.399 430.473,306.369 430.5,306.339 430.528,306.309 430.555,306.279 430.583,306.249 430.611,306.219 430.638,306.189 430.666,306.159 430.694,306.129 \n",
       "  430.721,306.099 430.749,306.069 430.777,306.039 430.804,306.009 430.832,305.979 430.859,305.949 430.887,305.919 430.915,305.889 430.942,305.859 430.97,305.829 \n",
       "  430.998,305.799 431.025,305.769 431.053,305.739 431.081,305.709 431.108,305.679 431.136,305.649 431.163,305.619 431.191,305.588 431.219,305.558 431.246,305.528 \n",
       "  431.274,305.498 431.302,305.468 431.329,305.438 431.357,305.408 431.385,305.377 431.412,305.347 431.44,305.317 431.467,305.287 431.495,305.257 431.523,305.226 \n",
       "  431.55,305.196 431.578,305.166 431.606,305.136 431.633,305.105 431.661,305.075 431.689,305.045 431.716,305.015 431.744,304.984 431.771,304.954 431.799,304.924 \n",
       "  431.827,304.894 431.854,304.863 431.882,304.833 431.91,304.803 431.937,304.772 431.965,304.742 431.993,304.712 432.02,304.681 432.048,304.651 432.076,304.621 \n",
       "  432.103,304.59 432.131,304.56 432.158,304.53 432.186,304.499 432.214,304.469 432.241,304.438 432.269,304.408 432.297,304.378 432.324,304.347 432.352,304.317 \n",
       "  432.38,304.286 432.407,304.256 432.435,304.225 432.462,304.195 432.49,304.165 432.518,304.134 432.545,304.104 432.573,304.073 432.601,304.043 432.628,304.012 \n",
       "  432.656,303.982 432.684,303.951 432.711,303.921 432.739,303.89 432.766,303.86 432.794,303.829 432.822,303.798 432.849,303.768 432.877,303.737 432.905,303.707 \n",
       "  432.932,303.676 432.96,303.646 432.988,303.615 433.015,303.584 433.043,303.554 433.07,303.523 433.098,303.493 433.126,303.462 433.153,303.431 433.181,303.401 \n",
       "  433.209,303.37 433.236,303.339 433.264,303.309 433.292,303.278 433.319,303.247 433.347,303.217 433.374,303.186 433.402,303.155 433.43,303.125 433.457,303.094 \n",
       "  433.485,303.063 433.513,303.032 433.54,303.002 433.568,302.971 433.596,302.94 433.623,302.909 433.651,302.879 433.679,302.848 433.706,302.817 433.734,302.786 \n",
       "  433.761,302.756 433.789,302.725 433.817,302.694 433.844,302.663 433.872,302.632 433.9,302.601 433.927,302.571 433.955,302.54 433.983,302.509 434.01,302.478 \n",
       "  434.038,302.447 434.065,302.416 434.093,302.385 434.121,302.355 434.148,302.324 434.176,302.293 434.204,302.262 434.231,302.231 434.259,302.2 434.287,302.169 \n",
       "  434.314,302.138 434.342,302.107 434.369,302.076 434.397,302.045 434.425,302.014 434.452,301.983 434.48,301.952 434.508,301.921 434.535,301.89 434.563,301.859 \n",
       "  434.591,301.828 434.618,301.797 434.646,301.766 434.673,301.735 434.701,301.704 434.729,301.673 434.756,301.642 434.784,301.611 434.812,301.58 434.839,301.549 \n",
       "  434.867,301.518 434.895,301.487 434.922,301.456 434.95,301.425 434.977,301.394 435.005,301.362 435.033,301.331 435.06,301.3 435.088,301.269 435.116,301.238 \n",
       "  435.143,301.207 435.171,301.176 435.199,301.144 435.226,301.113 435.254,301.082 435.281,301.051 435.309,301.02 435.337,300.988 435.364,300.957 435.392,300.926 \n",
       "  435.42,300.895 435.447,300.864 435.475,300.832 435.503,300.801 435.53,300.77 435.558,300.739 435.586,300.707 435.613,300.676 435.641,300.645 435.668,300.613 \n",
       "  435.696,300.582 435.724,300.551 435.751,300.52 435.779,300.488 435.807,300.457 435.834,300.426 435.862,300.394 435.89,300.363 435.917,300.332 435.945,300.3 \n",
       "  435.972,300.269 436,300.237 436.028,300.206 436.055,300.175 436.083,300.143 436.111,300.112 436.138,300.08 436.166,300.049 436.194,300.018 436.221,299.986 \n",
       "  436.249,299.955 436.276,299.923 436.304,299.892 436.332,299.86 436.359,299.829 436.387,299.797 436.415,299.766 436.442,299.734 436.47,299.703 436.498,299.671 \n",
       "  436.525,299.64 436.553,299.608 436.58,299.577 436.608,299.545 436.636,299.514 436.663,299.482 436.691,299.451 436.719,299.419 436.746,299.387 436.774,299.356 \n",
       "  436.802,299.324 436.829,299.293 436.857,299.261 436.884,299.23 436.912,299.198 436.94,299.166 436.967,299.135 436.995,299.103 437.023,299.071 437.05,299.04 \n",
       "  437.078,299.008 437.106,298.976 437.133,298.945 437.161,298.913 437.189,298.881 437.216,298.85 437.244,298.818 437.271,298.786 437.299,298.755 437.327,298.723 \n",
       "  437.354,298.691 437.382,298.659 437.41,298.628 437.437,298.596 437.465,298.564 437.493,298.532 437.52,298.501 437.548,298.469 437.575,298.437 437.603,298.405 \n",
       "  437.631,298.373 437.658,298.342 437.686,298.31 437.714,298.278 437.741,298.246 437.769,298.214 437.797,298.182 437.824,298.151 437.852,298.119 437.879,298.087 \n",
       "  437.907,298.055 437.935,298.023 437.962,297.991 437.99,297.959 438.018,297.927 438.045,297.895 438.073,297.864 438.101,297.832 438.128,297.8 438.156,297.768 \n",
       "  438.183,297.736 438.211,297.704 438.239,297.672 438.266,297.64 438.294,297.608 438.322,297.576 438.349,297.544 438.377,297.512 438.405,297.48 438.432,297.448 \n",
       "  438.46,297.416 438.487,297.384 438.515,297.352 438.543,297.32 438.57,297.288 438.598,297.256 438.626,297.224 438.653,297.192 438.681,297.16 438.709,297.127 \n",
       "  438.736,297.095 438.764,297.063 438.791,297.031 438.819,296.999 438.847,296.967 438.874,296.935 438.902,296.903 438.93,296.871 438.957,296.838 438.985,296.806 \n",
       "  439.013,296.774 439.04,296.742 439.068,296.71 439.096,296.678 439.123,296.645 439.151,296.613 439.178,296.581 439.206,296.549 439.234,296.517 439.261,296.484 \n",
       "  439.289,296.452 439.317,296.42 439.344,296.388 439.372,296.355 439.4,296.323 439.427,296.291 439.455,296.259 439.482,296.226 439.51,296.194 439.538,296.162 \n",
       "  439.565,296.129 439.593,296.097 439.621,296.065 439.648,296.032 439.676,296 439.704,295.968 439.731,295.935 439.759,295.903 439.786,295.871 439.814,295.838 \n",
       "  439.842,295.806 439.869,295.773 439.897,295.741 439.925,295.709 439.952,295.676 439.98,295.644 440.008,295.611 440.035,295.579 440.063,295.547 440.09,295.514 \n",
       "  440.118,295.482 440.146,295.449 440.173,295.417 440.201,295.384 440.229,295.352 440.256,295.319 440.284,295.287 440.312,295.254 440.339,295.222 440.367,295.189 \n",
       "  440.394,295.157 440.422,295.124 440.45,295.092 440.477,295.059 440.505,295.027 440.533,294.994 440.56,294.961 440.588,294.929 440.616,294.896 440.643,294.864 \n",
       "  440.671,294.831 440.699,294.799 440.726,294.766 440.754,294.733 440.781,294.701 440.809,294.668 440.837,294.635 440.864,294.603 440.892,294.57 440.92,294.537 \n",
       "  440.947,294.505 440.975,294.472 441.003,294.439 441.03,294.407 441.058,294.374 441.085,294.341 441.113,294.309 441.141,294.276 441.168,294.243 441.196,294.21 \n",
       "  441.224,294.178 441.251,294.145 441.279,294.112 441.307,294.079 441.334,294.047 441.362,294.014 441.389,293.981 441.417,293.948 441.445,293.916 441.472,293.883 \n",
       "  441.5,293.85 441.528,293.817 441.555,293.784 441.583,293.751 441.611,293.719 441.638,293.686 441.666,293.653 441.693,293.62 441.721,293.587 441.749,293.554 \n",
       "  441.776,293.521 441.804,293.488 441.832,293.456 441.859,293.423 441.887,293.39 441.915,293.357 441.942,293.324 441.97,293.291 441.997,293.258 442.025,293.225 \n",
       "  442.053,293.192 442.08,293.159 442.108,293.126 442.136,293.093 442.163,293.06 442.191,293.027 442.219,292.994 442.246,292.961 442.274,292.928 442.301,292.895 \n",
       "  442.329,292.862 442.357,292.829 442.384,292.796 442.412,292.763 442.44,292.73 442.467,292.697 442.495,292.664 442.523,292.631 442.55,292.598 442.578,292.565 \n",
       "  442.606,292.531 442.633,292.498 442.661,292.465 442.688,292.432 442.716,292.399 442.744,292.366 442.771,292.333 442.799,292.3 442.827,292.266 442.854,292.233 \n",
       "  442.882,292.2 442.91,292.167 442.937,292.134 442.965,292.101 442.992,292.067 443.02,292.034 443.048,292.001 443.075,291.968 443.103,291.934 443.131,291.901 \n",
       "  443.158,291.868 443.186,291.835 443.214,291.801 443.241,291.768 443.269,291.735 443.296,291.702 443.324,291.668 443.352,291.635 443.379,291.602 443.407,291.568 \n",
       "  443.435,291.535 443.462,291.502 443.49,291.468 443.518,291.435 443.545,291.402 443.573,291.368 443.6,291.335 443.628,291.302 443.656,291.268 443.683,291.235 \n",
       "  443.711,291.202 443.739,291.168 443.766,291.135 443.794,291.101 443.822,291.068 443.849,291.035 443.877,291.001 443.904,290.968 443.932,290.934 443.96,290.901 \n",
       "  443.987,290.867 444.015,290.834 444.043,290.8 444.07,290.767 444.098,290.733 444.126,290.7 444.153,290.666 444.181,290.633 444.209,290.599 444.236,290.566 \n",
       "  444.264,290.532 444.291,290.499 444.319,290.465 444.347,290.432 444.374,290.398 444.402,290.364 444.43,290.331 444.457,290.297 444.485,290.264 444.513,290.23 \n",
       "  444.54,290.197 444.568,290.163 444.595,290.129 444.623,290.096 444.651,290.062 444.678,290.028 444.706,289.995 444.734,289.961 444.761,289.927 444.789,289.894 \n",
       "  444.817,289.86 444.844,289.826 444.872,289.793 444.899,289.759 444.927,289.725 444.955,289.692 444.982,289.658 445.01,289.624 445.038,289.59 445.065,289.557 \n",
       "  445.093,289.523 445.121,289.489 445.148,289.455 445.176,289.422 445.203,289.388 445.231,289.354 445.259,289.32 445.286,289.286 445.314,289.253 445.342,289.219 \n",
       "  445.369,289.185 445.397,289.151 445.425,289.117 445.452,289.084 445.48,289.05 445.507,289.016 445.535,288.982 445.563,288.948 445.59,288.914 445.618,288.88 \n",
       "  445.646,288.846 445.673,288.813 445.701,288.779 445.729,288.745 445.756,288.711 445.784,288.677 445.811,288.643 445.839,288.609 445.867,288.575 445.894,288.541 \n",
       "  445.922,288.507 445.95,288.473 445.977,288.439 446.005,288.405 446.033,288.371 446.06,288.337 446.088,288.303 446.116,288.269 446.143,288.235 446.171,288.201 \n",
       "  446.198,288.167 446.226,288.133 446.254,288.099 446.281,288.065 446.309,288.031 446.337,287.997 446.364,287.963 446.392,287.929 446.42,287.894 446.447,287.86 \n",
       "  446.475,287.826 446.502,287.792 446.53,287.758 446.558,287.724 446.585,287.69 446.613,287.656 446.641,287.621 446.668,287.587 446.696,287.553 446.724,287.519 \n",
       "  446.751,287.485 446.779,287.451 446.806,287.416 446.834,287.382 446.862,287.348 446.889,287.314 446.917,287.279 446.945,287.245 446.972,287.211 447,287.177 \n",
       "  447.028,287.143 447.055,287.108 447.083,287.074 447.11,287.04 447.138,287.005 447.166,286.971 447.193,286.937 447.221,286.903 447.249,286.868 447.276,286.834 \n",
       "  447.304,286.8 447.332,286.765 447.359,286.731 447.387,286.697 447.414,286.662 447.442,286.628 447.47,286.593 447.497,286.559 447.525,286.525 447.553,286.49 \n",
       "  447.58,286.456 447.608,286.422 447.636,286.387 447.663,286.353 447.691,286.318 447.719,286.284 447.746,286.249 447.774,286.215 447.801,286.18 447.829,286.146 \n",
       "  447.857,286.112 447.884,286.077 447.912,286.043 447.94,286.008 447.967,285.974 447.995,285.939 448.023,285.905 448.05,285.87 448.078,285.836 448.105,285.801 \n",
       "  448.133,285.766 448.161,285.732 448.188,285.697 448.216,285.663 448.244,285.628 448.271,285.594 448.299,285.559 448.327,285.524 448.354,285.49 448.382,285.455 \n",
       "  448.409,285.421 448.437,285.386 448.465,285.351 448.492,285.317 448.52,285.282 448.548,285.247 448.575,285.213 448.603,285.178 448.631,285.143 448.658,285.109 \n",
       "  448.686,285.074 448.713,285.039 448.741,285.005 448.769,284.97 448.796,284.935 448.824,284.901 448.852,284.866 448.879,284.831 448.907,284.796 448.935,284.762 \n",
       "  448.962,284.727 448.99,284.692 449.017,284.657 449.045,284.622 449.073,284.588 449.1,284.553 449.128,284.518 449.156,284.483 449.183,284.448 449.211,284.414 \n",
       "  449.239,284.379 449.266,284.344 449.294,284.309 449.321,284.274 449.349,284.239 449.377,284.205 449.404,284.17 449.432,284.135 449.46,284.1 449.487,284.065 \n",
       "  449.515,284.03 449.543,283.995 449.57,283.96 449.598,283.925 449.626,283.89 449.653,283.855 449.681,283.821 449.708,283.786 449.736,283.751 449.764,283.716 \n",
       "  449.791,283.681 449.819,283.646 449.847,283.611 449.874,283.576 449.902,283.541 449.93,283.506 449.957,283.471 449.985,283.436 450.012,283.401 450.04,283.366 \n",
       "  450.068,283.33 450.095,283.295 450.123,283.26 450.151,283.225 450.178,283.19 450.206,283.155 450.234,283.12 450.261,283.085 450.289,283.05 450.316,283.015 \n",
       "  450.344,282.98 450.372,282.944 450.399,282.909 450.427,282.874 450.455,282.839 450.482,282.804 450.51,282.769 450.538,282.734 450.565,282.698 450.593,282.663 \n",
       "  450.62,282.628 450.648,282.593 450.676,282.558 450.703,282.522 450.731,282.487 450.759,282.452 450.786,282.417 450.814,282.381 450.842,282.346 450.869,282.311 \n",
       "  450.897,282.276 450.924,282.24 450.952,282.205 450.98,282.17 451.007,282.135 451.035,282.099 451.063,282.064 451.09,282.029 451.118,281.993 451.146,281.958 \n",
       "  451.173,281.923 451.201,281.887 451.229,281.852 451.256,281.817 451.284,281.781 451.311,281.746 451.339,281.71 451.367,281.675 451.394,281.64 451.422,281.604 \n",
       "  451.45,281.569 451.477,281.533 451.505,281.498 451.533,281.463 451.56,281.427 451.588,281.392 451.615,281.356 451.643,281.321 451.671,281.285 451.698,281.25 \n",
       "  451.726,281.214 451.754,281.179 451.781,281.143 451.809,281.108 451.837,281.072 451.864,281.037 451.892,281.001 451.919,280.966 451.947,280.93 451.975,280.895 \n",
       "  452.002,280.859 452.03,280.824 452.058,280.788 452.085,280.753 452.113,280.717 452.141,280.681 452.168,280.646 452.196,280.61 452.223,280.575 452.251,280.539 \n",
       "  452.279,280.503 452.306,280.468 452.334,280.432 452.362,280.396 452.389,280.361 452.417,280.325 452.445,280.289 452.472,280.254 452.5,280.218 452.527,280.182 \n",
       "  452.555,280.147 452.583,280.111 452.61,280.075 452.638,280.04 452.666,280.004 452.693,279.968 452.721,279.932 452.749,279.897 452.776,279.861 452.804,279.825 \n",
       "  452.831,279.789 452.859,279.754 452.887,279.718 452.914,279.682 452.942,279.646 452.97,279.61 452.997,279.575 453.025,279.539 453.053,279.503 453.08,279.467 \n",
       "  453.108,279.431 453.136,279.395 453.163,279.359 453.191,279.324 453.218,279.288 453.246,279.252 453.274,279.216 453.301,279.18 453.329,279.144 453.357,279.108 \n",
       "  453.384,279.072 453.412,279.036 453.44,279.001 453.467,278.965 453.495,278.929 453.522,278.893 453.55,278.857 453.578,278.821 453.605,278.785 453.633,278.749 \n",
       "  453.661,278.713 453.688,278.677 453.716,278.641 453.744,278.605 453.771,278.569 453.799,278.533 453.826,278.497 453.854,278.461 453.882,278.425 453.909,278.389 \n",
       "  453.937,278.353 453.965,278.317 453.992,278.28 454.02,278.244 454.048,278.208 454.075,278.172 454.103,278.136 454.13,278.1 454.158,278.064 454.186,278.028 \n",
       "  454.213,277.992 454.241,277.956 454.269,277.919 454.296,277.883 454.324,277.847 454.352,277.811 454.379,277.775 454.407,277.739 454.434,277.702 454.462,277.666 \n",
       "  454.49,277.63 454.517,277.594 454.545,277.558 454.573,277.521 454.6,277.485 454.628,277.449 454.656,277.413 454.683,277.376 454.711,277.34 454.739,277.304 \n",
       "  454.766,277.268 454.794,277.231 454.821,277.195 454.849,277.159 454.877,277.122 454.904,277.086 454.932,277.05 454.96,277.013 454.987,276.977 455.015,276.941 \n",
       "  455.043,276.904 455.07,276.868 455.098,276.832 455.125,276.795 455.153,276.759 455.181,276.723 455.208,276.686 455.236,276.65 455.264,276.613 455.291,276.577 \n",
       "  455.319,276.541 455.347,276.504 455.374,276.468 455.402,276.431 455.429,276.395 455.457,276.358 455.485,276.322 455.512,276.285 455.54,276.249 455.568,276.212 \n",
       "  455.595,276.176 455.623,276.139 455.651,276.103 455.678,276.066 455.706,276.03 455.733,275.993 455.761,275.957 455.789,275.92 455.816,275.884 455.844,275.847 \n",
       "  455.872,275.811 455.899,275.774 455.927,275.738 455.955,275.701 455.982,275.664 456.01,275.628 456.037,275.591 456.065,275.555 456.093,275.518 456.12,275.481 \n",
       "  456.148,275.445 456.176,275.408 456.203,275.371 456.231,275.335 456.259,275.298 456.286,275.261 456.314,275.225 456.341,275.188 456.369,275.151 456.397,275.115 \n",
       "  456.424,275.078 456.452,275.041 456.48,275.004 456.507,274.968 456.535,274.931 456.563,274.894 456.59,274.858 456.618,274.821 456.646,274.784 456.673,274.747 \n",
       "  456.701,274.71 456.728,274.674 456.756,274.637 456.784,274.6 456.811,274.563 456.839,274.526 456.867,274.49 456.894,274.453 456.922,274.416 456.95,274.379 \n",
       "  456.977,274.342 457.005,274.305 457.032,274.269 457.06,274.232 457.088,274.195 457.115,274.158 457.143,274.121 457.171,274.084 457.198,274.047 457.226,274.01 \n",
       "  457.254,273.973 457.281,273.936 457.309,273.899 457.336,273.863 457.364,273.826 457.392,273.789 457.419,273.752 457.447,273.715 457.475,273.678 457.502,273.641 \n",
       "  457.53,273.604 457.558,273.567 457.585,273.53 457.613,273.493 457.64,273.456 457.668,273.419 457.696,273.382 457.723,273.345 457.751,273.307 457.779,273.27 \n",
       "  457.806,273.233 457.834,273.196 457.862,273.159 457.889,273.122 457.917,273.085 457.944,273.048 457.972,273.011 458,272.974 458.027,272.937 458.055,272.899 \n",
       "  458.083,272.862 458.11,272.825 458.138,272.788 458.166,272.751 458.193,272.714 458.221,272.676 458.249,272.639 458.276,272.602 458.304,272.565 458.331,272.528 \n",
       "  458.359,272.491 458.387,272.453 458.414,272.416 458.442,272.379 458.47,272.342 458.497,272.304 458.525,272.267 458.553,272.23 458.58,272.193 458.608,272.155 \n",
       "  458.635,272.118 458.663,272.081 458.691,272.043 458.718,272.006 458.746,271.969 458.774,271.931 458.801,271.894 458.829,271.857 458.857,271.819 458.884,271.782 \n",
       "  458.912,271.745 458.939,271.707 458.967,271.67 458.995,271.633 459.022,271.595 459.05,271.558 459.078,271.52 459.105,271.483 459.133,271.446 459.161,271.408 \n",
       "  459.188,271.371 459.216,271.333 459.243,271.296 459.271,271.258 459.299,271.221 459.326,271.184 459.354,271.146 459.382,271.109 459.409,271.071 459.437,271.034 \n",
       "  459.465,270.996 459.492,270.959 459.52,270.921 459.547,270.884 459.575,270.846 459.603,270.809 459.63,270.771 459.658,270.733 459.686,270.696 459.713,270.658 \n",
       "  459.741,270.621 459.769,270.583 459.796,270.546 459.824,270.508 459.851,270.47 459.879,270.433 459.907,270.395 459.934,270.358 459.962,270.32 459.99,270.282 \n",
       "  460.017,270.245 460.045,270.207 460.073,270.169 460.1,270.132 460.128,270.094 460.156,270.056 460.183,270.019 460.211,269.981 460.238,269.943 460.266,269.905 \n",
       "  460.294,269.868 460.321,269.83 460.349,269.792 460.377,269.755 460.404,269.717 460.432,269.679 460.46,269.641 460.487,269.604 460.515,269.566 460.542,269.528 \n",
       "  460.57,269.49 460.598,269.452 460.625,269.415 460.653,269.377 460.681,269.339 460.708,269.301 460.736,269.263 460.764,269.225 460.791,269.188 460.819,269.15 \n",
       "  460.846,269.112 460.874,269.074 460.902,269.036 460.929,268.998 460.957,268.96 460.985,268.923 461.012,268.885 461.04,268.847 461.068,268.809 461.095,268.771 \n",
       "  461.123,268.733 461.15,268.695 461.178,268.657 461.206,268.619 461.233,268.581 461.261,268.543 461.289,268.505 461.316,268.467 461.344,268.429 461.372,268.391 \n",
       "  461.399,268.353 461.427,268.315 461.454,268.277 461.482,268.239 461.51,268.201 461.537,268.163 461.565,268.125 461.593,268.087 461.62,268.049 461.648,268.011 \n",
       "  461.676,267.973 461.703,267.935 461.731,267.897 461.759,267.858 461.786,267.82 461.814,267.782 461.841,267.744 461.869,267.706 461.897,267.668 461.924,267.63 \n",
       "  461.952,267.592 461.98,267.553 462.007,267.515 462.035,267.477 462.063,267.439 462.09,267.401 462.118,267.363 462.145,267.324 462.173,267.286 462.201,267.248 \n",
       "  462.228,267.21 462.256,267.171 462.284,267.133 462.311,267.095 462.339,267.057 462.367,267.018 462.394,266.98 462.422,266.942 462.449,266.904 462.477,266.865 \n",
       "  462.505,266.827 462.532,266.789 462.56,266.75 462.588,266.712 462.615,266.674 462.643,266.636 462.671,266.597 462.698,266.559 462.726,266.52 462.753,266.482 \n",
       "  462.781,266.444 462.809,266.405 462.836,266.367 462.864,266.329 462.892,266.29 462.919,266.252 462.947,266.213 462.975,266.175 463.002,266.137 463.03,266.098 \n",
       "  463.057,266.06 463.085,266.021 463.113,265.983 463.14,265.944 463.168,265.906 463.196,265.867 463.223,265.829 463.251,265.79 463.279,265.752 463.306,265.713 \n",
       "  463.334,265.675 463.361,265.636 463.389,265.598 463.417,265.559 463.444,265.521 463.472,265.482 463.5,265.444 463.527,265.405 463.555,265.367 463.583,265.328 \n",
       "  463.61,265.289 463.638,265.251 463.666,265.212 463.693,265.174 463.721,265.135 463.748,265.096 463.776,265.058 463.804,265.019 463.831,264.981 463.859,264.942 \n",
       "  463.887,264.903 463.914,264.865 463.942,264.826 463.97,264.787 463.997,264.749 464.025,264.71 464.052,264.671 464.08,264.632 464.108,264.594 464.135,264.555 \n",
       "  464.163,264.516 464.191,264.478 464.218,264.439 464.246,264.4 464.274,264.361 464.301,264.323 464.329,264.284 464.356,264.245 464.384,264.206 464.412,264.167 \n",
       "  464.439,264.129 464.467,264.09 464.495,264.051 464.522,264.012 464.55,263.973 464.578,263.935 464.605,263.896 464.633,263.857 464.66,263.818 464.688,263.779 \n",
       "  464.716,263.74 464.743,263.701 464.771,263.662 464.799,263.624 464.826,263.585 464.854,263.546 464.882,263.507 464.909,263.468 464.937,263.429 464.964,263.39 \n",
       "  464.992,263.351 465.02,263.312 465.047,263.273 465.075,263.234 465.103,263.195 465.13,263.156 465.158,263.117 465.186,263.078 465.213,263.039 465.241,263 \n",
       "  465.269,262.961 465.296,262.922 465.324,262.883 465.351,262.844 465.379,262.805 465.407,262.766 465.434,262.727 465.462,262.688 465.49,262.649 465.517,262.61 \n",
       "  465.545,262.571 465.573,262.532 465.6,262.493 465.628,262.453 465.655,262.414 465.683,262.375 465.711,262.336 465.738,262.297 465.766,262.258 465.794,262.219 \n",
       "  465.821,262.18 465.849,262.14 465.877,262.101 465.904,262.062 465.932,262.023 465.959,261.984 465.987,261.944 466.015,261.905 466.042,261.866 466.07,261.827 \n",
       "  466.098,261.788 466.125,261.748 466.153,261.709 466.181,261.67 466.208,261.631 466.236,261.591 466.263,261.552 466.291,261.513 466.319,261.473 466.346,261.434 \n",
       "  466.374,261.395 466.402,261.356 466.429,261.316 466.457,261.277 466.485,261.238 466.512,261.198 466.54,261.159 466.567,261.12 466.595,261.08 466.623,261.041 \n",
       "  466.65,261.001 466.678,260.962 466.706,260.923 466.733,260.883 466.761,260.844 466.789,260.804 466.816,260.765 466.844,260.726 466.871,260.686 466.899,260.647 \n",
       "  466.927,260.607 466.954,260.568 466.982,260.528 467.01,260.489 467.037,260.449 467.065,260.41 467.093,260.37 467.12,260.331 467.148,260.291 467.176,260.252 \n",
       "  467.203,260.212 467.231,260.173 467.258,260.133 467.286,260.094 467.314,260.054 467.341,260.015 467.369,259.975 467.397,259.936 467.424,259.896 467.452,259.856 \n",
       "  467.48,259.817 467.507,259.777 467.535,259.738 467.562,259.698 467.59,259.658 467.618,259.619 467.645,259.579 467.673,259.539 467.701,259.5 467.728,259.46 \n",
       "  467.756,259.42 467.784,259.381 467.811,259.341 467.839,259.301 467.866,259.262 467.894,259.222 467.922,259.182 467.949,259.143 467.977,259.103 468.005,259.063 \n",
       "  468.032,259.023 468.06,258.984 468.088,258.944 468.115,258.904 468.143,258.864 468.17,258.825 468.198,258.785 468.226,258.745 468.253,258.705 468.281,258.666 \n",
       "  468.309,258.626 468.336,258.586 468.364,258.546 468.392,258.506 468.419,258.466 468.447,258.427 468.474,258.387 468.502,258.347 468.53,258.307 468.557,258.267 \n",
       "  468.585,258.227 468.613,258.187 468.64,258.147 468.668,258.108 468.696,258.068 468.723,258.028 468.751,257.988 468.779,257.948 468.806,257.908 468.834,257.868 \n",
       "  468.861,257.828 468.889,257.788 468.917,257.748 468.944,257.708 468.972,257.668 469,257.628 469.027,257.588 469.055,257.548 469.083,257.508 469.11,257.468 \n",
       "  469.138,257.428 469.165,257.388 469.193,257.348 469.221,257.308 469.248,257.268 469.276,257.228 469.304,257.188 469.331,257.148 469.359,257.108 469.387,257.068 \n",
       "  469.414,257.027 469.442,256.987 469.469,256.947 469.497,256.907 469.525,256.867 469.552,256.827 469.58,256.787 469.608,256.747 469.635,256.706 469.663,256.666 \n",
       "  469.691,256.626 469.718,256.586 469.746,256.546 469.773,256.506 469.801,256.465 469.829,256.425 469.856,256.385 469.884,256.345 469.912,256.304 469.939,256.264 \n",
       "  469.967,256.224 469.995,256.184 470.022,256.144 470.05,256.103 470.077,256.063 470.105,256.023 470.133,255.982 470.16,255.942 470.188,255.902 470.216,255.862 \n",
       "  470.243,255.821 470.271,255.781 470.299,255.741 470.326,255.7 470.354,255.66 470.381,255.62 470.409,255.579 470.437,255.539 470.464,255.498 470.492,255.458 \n",
       "  470.52,255.418 470.547,255.377 470.575,255.337 470.603,255.296 470.63,255.256 470.658,255.216 470.686,255.175 470.713,255.135 470.741,255.094 470.768,255.054 \n",
       "  470.796,255.013 470.824,254.973 470.851,254.933 470.879,254.892 470.907,254.852 470.934,254.811 470.962,254.771 470.99,254.73 471.017,254.69 471.045,254.649 \n",
       "  471.072,254.608 471.1,254.568 471.128,254.527 471.155,254.487 471.183,254.446 471.211,254.406 471.238,254.365 471.266,254.325 471.294,254.284 471.321,254.243 \n",
       "  471.349,254.203 471.376,254.162 471.404,254.122 471.432,254.081 471.459,254.04 471.487,254 471.515,253.959 471.542,253.918 471.57,253.878 471.598,253.837 \n",
       "  471.625,253.796 471.653,253.756 471.68,253.715 471.708,253.674 471.736,253.634 471.763,253.593 471.791,253.552 471.819,253.511 471.846,253.471 471.874,253.43 \n",
       "  471.902,253.389 471.929,253.348 471.957,253.308 471.984,253.267 472.012,253.226 472.04,253.185 472.067,253.145 472.095,253.104 472.123,253.063 472.15,253.022 \n",
       "  472.178,252.981 472.206,252.941 472.233,252.9 472.261,252.859 472.289,252.818 472.316,252.777 472.344,252.736 472.371,252.695 472.399,252.655 472.427,252.614 \n",
       "  472.454,252.573 472.482,252.532 472.51,252.491 472.537,252.45 472.565,252.409 472.593,252.368 472.62,252.327 472.648,252.286 472.675,252.245 472.703,252.204 \n",
       "  472.731,252.164 472.758,252.123 472.786,252.082 472.814,252.041 472.841,252 472.869,251.959 472.897,251.918 472.924,251.877 472.952,251.836 472.979,251.795 \n",
       "  473.007,251.754 473.035,251.712 473.062,251.671 473.09,251.63 473.118,251.589 473.145,251.548 473.173,251.507 473.201,251.466 473.228,251.425 473.256,251.384 \n",
       "  473.283,251.343 473.311,251.302 473.339,251.261 473.366,251.219 473.394,251.178 473.422,251.137 473.449,251.096 473.477,251.055 473.505,251.014 473.532,250.972 \n",
       "  473.56,250.931 473.587,250.89 473.615,250.849 473.643,250.808 473.67,250.767 473.698,250.725 473.726,250.684 473.753,250.643 473.781,250.602 473.809,250.56 \n",
       "  473.836,250.519 473.864,250.478 473.891,250.437 473.919,250.395 473.947,250.354 473.974,250.313 474.002,250.271 474.03,250.23 474.057,250.189 474.085,250.148 \n",
       "  474.113,250.106 474.14,250.065 474.168,250.024 474.196,249.982 474.223,249.941 474.251,249.9 474.278,249.858 474.306,249.817 474.334,249.775 474.361,249.734 \n",
       "  474.389,249.693 474.417,249.651 474.444,249.61 474.472,249.568 474.5,249.527 474.527,249.486 474.555,249.444 474.582,249.403 474.61,249.361 474.638,249.32 \n",
       "  474.665,249.278 474.693,249.237 474.721,249.195 474.748,249.154 474.776,249.112 474.804,249.071 474.831,249.029 474.859,248.988 474.886,248.946 474.914,248.905 \n",
       "  474.942,248.863 474.969,248.822 474.997,248.78 475.025,248.739 475.052,248.697 475.08,248.655 475.108,248.614 475.135,248.572 475.163,248.531 475.19,248.489 \n",
       "  475.218,248.447 475.246,248.406 475.273,248.364 475.301,248.323 475.329,248.281 475.356,248.239 475.384,248.198 475.412,248.156 475.439,248.114 475.467,248.073 \n",
       "  475.494,248.031 475.522,247.989 475.55,247.948 475.577,247.906 475.605,247.864 475.633,247.822 475.66,247.781 475.688,247.739 475.716,247.697 475.743,247.655 \n",
       "  475.771,247.614 475.799,247.572 475.826,247.53 475.854,247.488 475.881,247.447 475.909,247.405 475.937,247.363 475.964,247.321 475.992,247.279 476.02,247.238 \n",
       "  476.047,247.196 476.075,247.154 476.103,247.112 476.13,247.07 476.158,247.028 476.185,246.986 476.213,246.945 476.241,246.903 476.268,246.861 476.296,246.819 \n",
       "  476.324,246.777 476.351,246.735 476.379,246.693 476.407,246.651 476.434,246.609 476.462,246.567 476.489,246.526 476.517,246.484 476.545,246.442 476.572,246.4 \n",
       "  476.6,246.358 476.628,246.316 476.655,246.274 476.683,246.232 476.711,246.19 476.738,246.148 476.766,246.106 476.793,246.064 476.821,246.022 476.849,245.98 \n",
       "  476.876,245.938 476.904,245.895 476.932,245.853 476.959,245.811 476.987,245.769 477.015,245.727 477.042,245.685 477.07,245.643 477.097,245.601 477.125,245.559 \n",
       "  477.153,245.517 477.18,245.475 477.208,245.432 477.236,245.39 477.263,245.348 477.291,245.306 477.319,245.264 477.346,245.222 477.374,245.18 477.401,245.137 \n",
       "  477.429,245.095 477.457,245.053 477.484,245.011 477.512,244.969 477.54,244.926 477.567,244.884 477.595,244.842 477.623,244.8 477.65,244.757 477.678,244.715 \n",
       "  477.706,244.673 477.733,244.631 477.761,244.588 477.788,244.546 477.816,244.504 477.844,244.461 477.871,244.419 477.899,244.377 477.927,244.335 477.954,244.292 \n",
       "  477.982,244.25 478.01,244.208 478.037,244.165 478.065,244.123 478.092,244.08 478.12,244.038 478.148,243.996 478.175,243.953 478.203,243.911 478.231,243.869 \n",
       "  478.258,243.826 478.286,243.784 478.314,243.741 478.341,243.699 478.369,243.656 478.396,243.614 478.424,243.572 478.452,243.529 478.479,243.487 478.507,243.444 \n",
       "  478.535,243.402 478.562,243.359 478.59,243.317 478.618,243.274 478.645,243.232 478.673,243.189 478.7,243.147 478.728,243.104 478.756,243.062 478.783,243.019 \n",
       "  478.811,242.977 478.839,242.934 478.866,242.891 478.894,242.849 478.922,242.806 478.949,242.764 478.977,242.721 479.004,242.679 479.032,242.636 479.06,242.593 \n",
       "  479.087,242.551 479.115,242.508 479.143,242.465 479.17,242.423 479.198,242.38 479.226,242.337 479.253,242.295 479.281,242.252 479.309,242.209 479.336,242.167 \n",
       "  479.364,242.124 479.391,242.081 479.419,242.039 479.447,241.996 479.474,241.953 479.502,241.91 479.53,241.868 479.557,241.825 479.585,241.782 479.613,241.74 \n",
       "  479.64,241.697 479.668,241.654 479.695,241.611 479.723,241.568 479.751,241.526 479.778,241.483 479.806,241.44 479.834,241.397 479.861,241.354 479.889,241.312 \n",
       "  479.917,241.269 479.944,241.226 479.972,241.183 479.999,241.14 480.027,241.097 480.055,241.054 480.082,241.012 480.11,240.969 480.138,240.926 480.165,240.883 \n",
       "  480.193,240.84 480.221,240.797 480.248,240.754 480.276,240.711 480.303,240.668 480.331,240.625 480.359,240.582 480.386,240.539 480.414,240.496 480.442,240.453 \n",
       "  480.469,240.41 480.497,240.367 480.525,240.324 480.552,240.281 480.58,240.238 480.607,240.195 480.635,240.152 480.663,240.109 480.69,240.066 480.718,240.023 \n",
       "  480.746,239.98 480.773,239.937 480.801,239.894 480.829,239.851 480.856,239.808 480.884,239.765 480.911,239.722 480.939,239.679 480.967,239.636 480.994,239.592 \n",
       "  481.022,239.549 481.05,239.506 481.077,239.463 481.105,239.42 481.133,239.377 481.16,239.334 481.188,239.29 481.216,239.247 481.243,239.204 481.271,239.161 \n",
       "  481.298,239.118 481.326,239.074 481.354,239.031 481.381,238.988 481.409,238.945 481.437,238.902 481.464,238.858 481.492,238.815 481.52,238.772 481.547,238.729 \n",
       "  481.575,238.685 481.602,238.642 481.63,238.599 481.658,238.555 481.685,238.512 481.713,238.469 481.741,238.425 481.768,238.382 481.796,238.339 481.824,238.296 \n",
       "  481.851,238.252 481.879,238.209 481.906,238.165 481.934,238.122 481.962,238.079 481.989,238.035 482.017,237.992 482.045,237.949 482.072,237.905 482.1,237.862 \n",
       "  482.128,237.818 482.155,237.775 482.183,237.732 482.21,237.688 482.238,237.645 482.266,237.601 482.293,237.558 482.321,237.514 482.349,237.471 482.376,237.427 \n",
       "  482.404,237.384 482.432,237.34 482.459,237.297 482.487,237.253 482.514,237.21 482.542,237.166 482.57,237.123 482.597,237.079 482.625,237.036 482.653,236.992 \n",
       "  482.68,236.949 482.708,236.905 482.736,236.861 482.763,236.818 482.791,236.774 482.819,236.731 482.846,236.687 482.874,236.643 482.901,236.6 482.929,236.556 \n",
       "  482.957,236.513 482.984,236.469 483.012,236.425 483.04,236.382 483.067,236.338 483.095,236.294 483.123,236.251 483.15,236.207 483.178,236.163 483.205,236.12 \n",
       "  483.233,236.076 483.261,236.032 483.288,235.988 483.316,235.945 483.344,235.901 483.371,235.857 483.399,235.814 483.427,235.77 483.454,235.726 483.482,235.682 \n",
       "  483.509,235.638 483.537,235.595 483.565,235.551 483.592,235.507 483.62,235.463 483.648,235.419 483.675,235.376 483.703,235.332 483.731,235.288 483.758,235.244 \n",
       "  483.786,235.2 483.813,235.156 483.841,235.113 483.869,235.069 483.896,235.025 483.924,234.981 483.952,234.937 483.979,234.893 484.007,234.849 484.035,234.805 \n",
       "  484.062,234.761 484.09,234.718 484.117,234.674 484.145,234.63 484.173,234.586 484.2,234.542 484.228,234.498 484.256,234.454 484.283,234.41 484.311,234.366 \n",
       "  484.339,234.322 484.366,234.278 484.394,234.234 484.421,234.19 484.449,234.146 484.477,234.102 484.504,234.058 484.532,234.014 484.56,233.97 484.587,233.926 \n",
       "  484.615,233.882 484.643,233.837 484.67,233.793 484.698,233.749 484.726,233.705 484.753,233.661 484.781,233.617 484.808,233.573 484.836,233.529 484.864,233.485 \n",
       "  484.891,233.441 484.919,233.396 484.947,233.352 484.974,233.308 485.002,233.264 485.03,233.22 485.057,233.176 485.085,233.131 485.112,233.087 485.14,233.043 \n",
       "  485.168,232.999 485.195,232.955 485.223,232.91 485.251,232.866 485.278,232.822 485.306,232.778 485.334,232.733 485.361,232.689 485.389,232.645 485.416,232.601 \n",
       "  485.444,232.556 485.472,232.512 485.499,232.468 485.527,232.423 485.555,232.379 485.582,232.335 485.61,232.29 485.638,232.246 485.665,232.202 485.693,232.157 \n",
       "  485.72,232.113 485.748,232.069 485.776,232.024 485.803,231.98 485.831,231.936 485.859,231.891 485.886,231.847 485.914,231.802 485.942,231.758 485.969,231.714 \n",
       "  485.997,231.669 486.024,231.625 486.052,231.58 486.08,231.536 486.107,231.491 486.135,231.447 486.163,231.402 486.19,231.358 486.218,231.314 486.246,231.269 \n",
       "  486.273,231.225 486.301,231.18 486.329,231.136 486.356,231.091 486.384,231.047 486.411,231.002 486.439,230.957 486.467,230.913 486.494,230.868 486.522,230.824 \n",
       "  486.55,230.779 486.577,230.735 486.605,230.69 486.633,230.645 486.66,230.601 486.688,230.556 486.715,230.512 486.743,230.467 486.771,230.422 486.798,230.378 \n",
       "  486.826,230.333 486.854,230.288 486.881,230.244 486.909,230.199 486.937,230.154 486.964,230.11 486.992,230.065 487.019,230.02 487.047,229.976 487.075,229.931 \n",
       "  487.102,229.886 487.13,229.842 487.158,229.797 487.185,229.752 487.213,229.707 487.241,229.663 487.268,229.618 487.296,229.573 487.323,229.528 487.351,229.484 \n",
       "  487.379,229.439 487.406,229.394 487.434,229.349 487.462,229.304 487.489,229.26 487.517,229.215 487.545,229.17 487.572,229.125 487.6,229.08 487.627,229.035 \n",
       "  487.655,228.991 487.683,228.946 487.71,228.901 487.738,228.856 487.766,228.811 487.793,228.766 487.821,228.721 487.849,228.676 487.876,228.631 487.904,228.587 \n",
       "  487.931,228.542 487.959,228.497 487.987,228.452 488.014,228.407 488.042,228.362 488.07,228.317 488.097,228.272 488.125,228.227 488.153,228.182 488.18,228.137 \n",
       "  488.208,228.092 488.236,228.047 488.263,228.002 488.291,227.957 488.318,227.912 488.346,227.867 488.374,227.822 488.401,227.777 488.429,227.732 488.457,227.687 \n",
       "  488.484,227.642 488.512,227.596 488.54,227.551 488.567,227.506 488.595,227.461 488.622,227.416 488.65,227.371 488.678,227.326 488.705,227.281 488.733,227.236 \n",
       "  488.761,227.19 488.788,227.145 488.816,227.1 488.844,227.055 488.871,227.01 488.899,226.965 488.926,226.919 488.954,226.874 488.982,226.829 489.009,226.784 \n",
       "  489.037,226.739 489.065,226.693 489.092,226.648 489.12,226.603 489.148,226.558 489.175,226.512 489.203,226.467 489.23,226.422 489.258,226.377 489.286,226.331 \n",
       "  489.313,226.286 489.341,226.241 489.369,226.195 489.396,226.15 489.424,226.105 489.452,226.059 489.479,226.014 489.507,225.969 489.534,225.923 489.562,225.878 \n",
       "  489.59,225.833 489.617,225.787 489.645,225.742 489.673,225.697 489.7,225.651 489.728,225.606 489.756,225.56 489.783,225.515 489.811,225.47 489.839,225.424 \n",
       "  489.866,225.379 489.894,225.333 489.921,225.288 489.949,225.242 489.977,225.197 490.004,225.151 490.032,225.106 490.06,225.06 490.087,225.015 490.115,224.969 \n",
       "  490.143,224.924 490.17,224.878 490.198,224.833 490.225,224.787 490.253,224.742 490.281,224.696 490.308,224.651 490.336,224.605 490.364,224.56 490.391,224.514 \n",
       "  490.419,224.468 490.447,224.423 490.474,224.377 490.502,224.332 490.529,224.286 490.557,224.24 490.585,224.195 490.612,224.149 490.64,224.104 490.668,224.058 \n",
       "  490.695,224.012 490.723,223.967 490.751,223.921 490.778,223.875 490.806,223.83 490.833,223.784 490.861,223.738 490.889,223.693 490.916,223.647 490.944,223.601 \n",
       "  490.972,223.555 490.999,223.51 491.027,223.464 491.055,223.418 491.082,223.372 491.11,223.327 491.137,223.281 491.165,223.235 491.193,223.189 491.22,223.144 \n",
       "  491.248,223.098 491.276,223.052 491.303,223.006 491.331,222.96 491.359,222.915 491.386,222.869 491.414,222.823 491.441,222.777 491.469,222.731 491.497,222.685 \n",
       "  491.524,222.639 491.552,222.594 491.58,222.548 491.607,222.502 491.635,222.456 491.663,222.41 491.69,222.364 491.718,222.318 491.746,222.272 491.773,222.226 \n",
       "  491.801,222.18 491.828,222.134 491.856,222.088 491.884,222.043 491.911,221.997 491.939,221.951 491.967,221.905 491.994,221.859 492.022,221.813 492.05,221.767 \n",
       "  492.077,221.721 492.105,221.675 492.132,221.629 492.16,221.583 492.188,221.536 492.215,221.49 492.243,221.444 492.271,221.398 492.298,221.352 492.326,221.306 \n",
       "  492.354,221.26 492.381,221.214 492.409,221.168 492.436,221.122 492.464,221.076 492.492,221.03 492.519,220.983 492.547,220.937 492.575,220.891 492.602,220.845 \n",
       "  492.63,220.799 492.658,220.753 492.685,220.707 492.713,220.66 492.74,220.614 492.768,220.568 492.796,220.522 492.823,220.476 492.851,220.429 492.879,220.383 \n",
       "  492.906,220.337 492.934,220.291 492.962,220.244 492.989,220.198 493.017,220.152 493.044,220.106 493.072,220.059 493.1,220.013 493.127,219.967 493.155,219.921 \n",
       "  493.183,219.874 493.21,219.828 493.238,219.782 493.266,219.735 493.293,219.689 493.321,219.643 493.349,219.596 493.376,219.55 493.404,219.504 493.431,219.457 \n",
       "  493.459,219.411 493.487,219.365 493.514,219.318 493.542,219.272 493.57,219.225 493.597,219.179 493.625,219.133 493.653,219.086 493.68,219.04 493.708,218.993 \n",
       "  493.735,218.947 493.763,218.9 493.791,218.854 493.818,218.807 493.846,218.761 493.874,218.714 493.901,218.668 493.929,218.621 493.957,218.575 493.984,218.528 \n",
       "  494.012,218.482 494.039,218.435 494.067,218.389 494.095,218.342 494.122,218.296 494.15,218.249 494.178,218.203 494.205,218.156 494.233,218.11 494.261,218.063 \n",
       "  494.288,218.016 494.316,217.97 494.343,217.923 494.371,217.877 494.399,217.83 494.426,217.783 494.454,217.737 494.482,217.69 494.509,217.643 494.537,217.597 \n",
       "  494.565,217.55 494.592,217.503 494.62,217.457 494.647,217.41 494.675,217.363 494.703,217.317 494.73,217.27 494.758,217.223 494.786,217.177 494.813,217.13 \n",
       "  494.841,217.083 494.869,217.036 494.896,216.99 494.924,216.943 494.951,216.896 494.979,216.849 495.007,216.803 495.034,216.756 495.062,216.709 495.09,216.662 \n",
       "  495.117,216.615 495.145,216.569 495.173,216.522 495.2,216.475 495.228,216.428 495.256,216.381 495.283,216.334 495.311,216.288 495.338,216.241 495.366,216.194 \n",
       "  495.394,216.147 495.421,216.1 495.449,216.053 495.477,216.006 495.504,215.959 495.532,215.912 495.56,215.866 495.587,215.819 495.615,215.772 495.642,215.725 \n",
       "  495.67,215.678 495.698,215.631 495.725,215.584 495.753,215.537 495.781,215.49 495.808,215.443 495.836,215.396 495.864,215.349 495.891,215.302 495.919,215.255 \n",
       "  495.946,215.208 495.974,215.161 496.002,215.114 496.029,215.067 496.057,215.02 496.085,214.973 496.112,214.926 496.14,214.879 496.168,214.832 496.195,214.784 \n",
       "  496.223,214.737 496.25,214.69 496.278,214.643 496.306,214.596 496.333,214.549 496.361,214.502 496.389,214.455 496.416,214.407 496.444,214.36 496.472,214.313 \n",
       "  496.499,214.266 496.527,214.219 496.554,214.172 496.582,214.124 496.61,214.077 496.637,214.03 496.665,213.983 496.693,213.936 496.72,213.888 496.748,213.841 \n",
       "  496.776,213.794 496.803,213.747 496.831,213.699 496.859,213.652 496.886,213.605 496.914,213.558 496.941,213.51 496.969,213.463 496.997,213.416 497.024,213.369 \n",
       "  497.052,213.321 497.08,213.274 497.107,213.227 497.135,213.179 497.163,213.132 497.19,213.085 497.218,213.037 497.245,212.99 497.273,212.942 497.301,212.895 \n",
       "  497.328,212.848 497.356,212.8 497.384,212.753 497.411,212.706 497.439,212.658 497.467,212.611 497.494,212.563 497.522,212.516 497.549,212.468 497.577,212.421 \n",
       "  497.605,212.374 497.632,212.326 497.66,212.279 497.688,212.231 497.715,212.184 497.743,212.136 497.771,212.089 497.798,212.041 497.826,211.994 497.853,211.946 \n",
       "  497.881,211.899 497.909,211.851 497.936,211.804 497.964,211.756 497.992,211.708 498.019,211.661 498.047,211.613 498.075,211.566 498.102,211.518 498.13,211.471 \n",
       "  498.157,211.423 498.185,211.375 498.213,211.328 498.24,211.28 498.268,211.232 498.296,211.185 498.323,211.137 498.351,211.09 498.379,211.042 498.406,210.994 \n",
       "  498.434,210.947 498.461,210.899 498.489,210.851 498.517,210.804 498.544,210.756 498.572,210.708 498.6,210.66 498.627,210.613 498.655,210.565 498.683,210.517 \n",
       "  498.71,210.469 498.738,210.422 498.766,210.374 498.793,210.326 498.821,210.278 498.848,210.231 498.876,210.183 498.904,210.135 498.931,210.087 498.959,210.039 \n",
       "  498.987,209.992 499.014,209.944 499.042,209.896 499.07,209.848 499.097,209.8 499.125,209.752 499.152,209.705 499.18,209.657 499.208,209.609 499.235,209.561 \n",
       "  499.263,209.513 499.291,209.465 499.318,209.417 499.346,209.369 499.374,209.322 499.401,209.274 499.429,209.226 499.456,209.178 499.484,209.13 499.512,209.082 \n",
       "  499.539,209.034 499.567,208.986 499.595,208.938 499.622,208.89 499.65,208.842 499.678,208.794 499.705,208.746 499.733,208.698 499.76,208.65 499.788,208.602 \n",
       "  499.816,208.554 499.843,208.506 499.871,208.458 499.899,208.41 499.926,208.362 499.954,208.314 499.982,208.266 500.009,208.217 500.037,208.169 500.064,208.121 \n",
       "  500.092,208.073 500.12,208.025 500.147,207.977 500.175,207.929 500.203,207.881 500.23,207.833 500.258,207.784 500.286,207.736 500.313,207.688 500.341,207.64 \n",
       "  500.369,207.592 500.396,207.544 500.424,207.495 500.451,207.447 500.479,207.399 500.507,207.351 500.534,207.303 500.562,207.254 500.59,207.206 500.617,207.158 \n",
       "  500.645,207.11 500.673,207.061 500.7,207.013 500.728,206.965 500.755,206.917 500.783,206.868 500.811,206.82 500.838,206.772 500.866,206.723 500.894,206.675 \n",
       "  500.921,206.627 500.949,206.578 500.977,206.53 501.004,206.482 501.032,206.433 501.059,206.385 501.087,206.337 501.115,206.288 501.142,206.24 501.17,206.192 \n",
       "  501.198,206.143 501.225,206.095 501.253,206.046 501.281,205.998 501.308,205.95 501.336,205.901 501.363,205.853 501.391,205.804 501.419,205.756 501.446,205.707 \n",
       "  501.474,205.659 501.502,205.61 501.529,205.562 501.557,205.513 501.585,205.465 501.612,205.416 501.64,205.368 501.667,205.319 501.695,205.271 501.723,205.222 \n",
       "  501.75,205.174 501.778,205.125 501.806,205.077 501.833,205.028 501.861,204.98 501.889,204.931 501.916,204.883 501.944,204.834 501.971,204.785 501.999,204.737 \n",
       "  502.027,204.688 502.054,204.64 502.082,204.591 502.11,204.542 502.137,204.494 502.165,204.445 502.193,204.396 502.22,204.348 502.248,204.299 502.276,204.25 \n",
       "  502.303,204.202 502.331,204.153 502.358,204.104 502.386,204.056 502.414,204.007 502.441,203.958 502.469,203.909 502.497,203.861 502.524,203.812 502.552,203.763 \n",
       "  502.58,203.714 502.607,203.666 502.635,203.617 502.662,203.568 502.69,203.519 502.718,203.471 502.745,203.422 502.773,203.373 502.801,203.324 502.828,203.275 \n",
       "  502.856,203.227 502.884,203.178 502.911,203.129 502.939,203.08 502.966,203.031 502.994,202.982 503.022,202.933 503.049,202.885 503.077,202.836 503.105,202.787 \n",
       "  503.132,202.738 503.16,202.689 503.188,202.64 503.215,202.591 503.243,202.542 503.27,202.493 503.298,202.444 503.326,202.395 503.353,202.347 503.381,202.298 \n",
       "  503.409,202.249 503.436,202.2 503.464,202.151 503.492,202.102 503.519,202.053 503.547,202.004 503.574,201.955 503.602,201.906 503.63,201.857 503.657,201.808 \n",
       "  503.685,201.759 503.713,201.709 503.74,201.66 503.768,201.611 503.796,201.562 503.823,201.513 503.851,201.464 503.879,201.415 503.906,201.366 503.934,201.317 \n",
       "  503.961,201.268 503.989,201.219 504.017,201.169 504.044,201.12 504.072,201.071 504.1,201.022 504.127,200.973 504.155,200.924 504.183,200.875 504.21,200.825 \n",
       "  504.238,200.776 504.265,200.727 504.293,200.678 504.321,200.629 504.348,200.579 504.376,200.53 504.404,200.481 504.431,200.432 504.459,200.382 504.487,200.333 \n",
       "  504.514,200.284 504.542,200.235 504.569,200.185 504.597,200.136 504.625,200.087 504.652,200.038 504.68,199.988 504.708,199.939 504.735,199.89 504.763,199.84 \n",
       "  504.791,199.791 504.818,199.742 504.846,199.692 504.873,199.643 504.901,199.594 504.929,199.544 504.956,199.495 504.984,199.446 505.012,199.396 505.039,199.347 \n",
       "  505.067,199.297 505.095,199.248 505.122,199.199 505.15,199.149 505.177,199.1 505.205,199.05 505.233,199.001 505.26,198.951 505.288,198.902 505.316,198.852 \n",
       "  505.343,198.803 505.371,198.753 505.399,198.704 505.426,198.654 505.454,198.605 505.481,198.555 505.509,198.506 505.537,198.456 505.564,198.407 505.592,198.357 \n",
       "  505.62,198.308 505.647,198.258 505.675,198.209 505.703,198.159 505.73,198.11 505.758,198.06 505.786,198.01 505.813,197.961 505.841,197.911 505.868,197.862 \n",
       "  505.896,197.812 505.924,197.762 505.951,197.713 505.979,197.663 506.007,197.613 506.034,197.564 506.062,197.514 506.09,197.464 506.117,197.415 506.145,197.365 \n",
       "  506.172,197.315 506.2,197.266 506.228,197.216 506.255,197.166 506.283,197.117 506.311,197.067 506.338,197.017 506.366,196.967 506.394,196.918 506.421,196.868 \n",
       "  506.449,196.818 506.476,196.768 506.504,196.719 506.532,196.669 506.559,196.619 506.587,196.569 506.615,196.519 506.642,196.47 506.67,196.42 506.698,196.37 \n",
       "  506.725,196.32 506.753,196.27 506.78,196.22 506.808,196.171 506.836,196.121 506.863,196.071 506.891,196.021 506.919,195.971 506.946,195.921 506.974,195.871 \n",
       "  507.002,195.821 507.029,195.771 507.057,195.722 507.084,195.672 507.112,195.622 507.14,195.572 507.167,195.522 507.195,195.472 507.223,195.422 507.25,195.372 \n",
       "  507.278,195.322 507.306,195.272 507.333,195.222 507.361,195.172 507.389,195.122 507.416,195.072 507.444,195.022 507.471,194.972 507.499,194.922 507.527,194.872 \n",
       "  507.554,194.822 507.582,194.772 507.61,194.722 507.637,194.672 507.665,194.621 507.693,194.571 507.72,194.521 507.748,194.471 507.775,194.421 507.803,194.371 \n",
       "  507.831,194.321 507.858,194.271 507.886,194.221 507.914,194.17 507.941,194.12 507.969,194.07 507.997,194.02 508.024,193.97 508.052,193.92 508.079,193.869 \n",
       "  508.107,193.819 508.135,193.769 508.162,193.719 508.19,193.669 508.218,193.618 508.245,193.568 508.273,193.518 508.301,193.468 508.328,193.417 508.356,193.367 \n",
       "  508.383,193.317 508.411,193.267 508.439,193.216 508.466,193.166 508.494,193.116 508.522,193.065 508.549,193.015 508.577,192.965 508.605,192.915 508.632,192.864 \n",
       "  508.66,192.814 508.687,192.764 508.715,192.713 508.743,192.663 508.77,192.612 508.798,192.562 508.826,192.512 508.853,192.461 508.881,192.411 508.909,192.361 \n",
       "  508.936,192.31 508.964,192.26 508.991,192.209 509.019,192.159 509.047,192.108 509.074,192.058 509.102,192.007 509.13,191.957 509.157,191.907 509.185,191.856 \n",
       "  509.213,191.806 509.24,191.755 509.268,191.705 509.296,191.654 509.323,191.604 509.351,191.553 509.378,191.503 509.406,191.452 509.434,191.401 509.461,191.351 \n",
       "  509.489,191.3 509.517,191.25 509.544,191.199 509.572,191.149 509.6,191.098 509.627,191.048 509.655,190.997 509.682,190.946 509.71,190.896 509.738,190.845 \n",
       "  509.765,190.794 509.793,190.744 509.821,190.693 509.848,190.643 509.876,190.592 509.904,190.541 509.931,190.491 509.959,190.44 509.986,190.389 510.014,190.338 \n",
       "  510.042,190.288 510.069,190.237 510.097,190.186 510.125,190.136 510.152,190.085 510.18,190.034 510.208,189.983 510.235,189.933 510.263,189.882 510.29,189.831 \n",
       "  510.318,189.78 510.346,189.73 510.373,189.679 510.401,189.628 510.429,189.577 510.456,189.526 510.484,189.476 510.512,189.425 510.539,189.374 510.567,189.323 \n",
       "  510.594,189.272 510.622,189.221 510.65,189.171 510.677,189.12 510.705,189.069 510.733,189.018 510.76,188.967 510.788,188.916 510.816,188.865 510.843,188.814 \n",
       "  510.871,188.763 510.899,188.713 510.926,188.662 510.954,188.611 510.981,188.56 511.009,188.509 511.037,188.458 511.064,188.407 511.092,188.356 511.12,188.305 \n",
       "  511.147,188.254 511.175,188.203 511.203,188.152 511.23,188.101 511.258,188.05 511.285,187.999 511.313,187.948 511.341,187.897 511.368,187.846 511.396,187.795 \n",
       "  511.424,187.744 511.451,187.693 511.479,187.642 511.507,187.59 511.534,187.539 511.562,187.488 511.589,187.437 511.617,187.386 511.645,187.335 511.672,187.284 \n",
       "  511.7,187.233 511.728,187.182 511.755,187.13 511.783,187.079 511.811,187.028 511.838,186.977 511.866,186.926 511.893,186.875 511.921,186.823 511.949,186.772 \n",
       "  511.976,186.721 512.004,186.67 512.032,186.619 512.059,186.567 512.087,186.516 512.115,186.465 512.142,186.414 512.17,186.362 512.197,186.311 512.225,186.26 \n",
       "  512.253,186.209 512.28,186.157 512.308,186.106 512.336,186.055 512.363,186.003 512.391,185.952 512.419,185.901 512.446,185.849 512.474,185.798 512.501,185.747 \n",
       "  512.529,185.695 512.557,185.644 512.584,185.593 512.612,185.541 512.64,185.49 512.667,185.439 512.695,185.387 512.723,185.336 512.75,185.284 512.778,185.233 \n",
       "  512.806,185.182 512.833,185.13 512.861,185.079 512.888,185.027 512.916,184.976 512.944,184.924 512.971,184.873 512.999,184.821 513.027,184.77 513.054,184.718 \n",
       "  513.082,184.667 513.11,184.615 513.137,184.564 513.165,184.512 513.192,184.461 513.22,184.409 513.248,184.358 513.275,184.306 513.303,184.255 513.331,184.203 \n",
       "  513.358,184.152 513.386,184.1 513.414,184.048 513.441,183.997 513.469,183.945 513.496,183.894 513.524,183.842 513.552,183.79 513.579,183.739 513.607,183.687 \n",
       "  513.635,183.636 513.662,183.584 513.69,183.532 513.718,183.481 513.745,183.429 513.773,183.377 513.8,183.326 513.828,183.274 513.856,183.222 513.883,183.171 \n",
       "  513.911,183.119 513.939,183.067 513.966,183.015 513.994,182.964 514.022,182.912 514.049,182.86 514.077,182.808 514.104,182.757 514.132,182.705 514.16,182.653 \n",
       "  514.187,182.601 514.215,182.55 514.243,182.498 514.27,182.446 514.298,182.394 514.326,182.342 514.353,182.29 514.381,182.239 514.409,182.187 514.436,182.135 \n",
       "  514.464,182.083 514.491,182.031 514.519,181.979 514.547,181.928 514.574,181.876 514.602,181.824 514.63,181.772 514.657,181.72 514.685,181.668 514.713,181.616 \n",
       "  514.74,181.564 514.768,181.512 514.795,181.46 514.823,181.408 514.851,181.356 514.878,181.304 514.906,181.252 514.934,181.201 514.961,181.149 514.989,181.097 \n",
       "  515.017,181.045 515.044,180.993 515.072,180.941 515.099,180.889 515.127,180.836 515.155,180.784 515.182,180.732 515.21,180.68 515.238,180.628 515.265,180.576 \n",
       "  515.293,180.524 515.321,180.472 515.348,180.42 515.376,180.368 515.403,180.316 515.431,180.264 515.459,180.212 515.486,180.159 515.514,180.107 515.542,180.055 \n",
       "  515.569,180.003 515.597,179.951 515.625,179.899 515.652,179.847 515.68,179.794 515.707,179.742 515.735,179.69 515.763,179.638 515.79,179.586 515.818,179.534 \n",
       "  515.846,179.481 515.873,179.429 515.901,179.377 515.929,179.325 515.956,179.272 515.984,179.22 516.011,179.168 516.039,179.116 516.067,179.063 516.094,179.011 \n",
       "  516.122,178.959 516.15,178.906 516.177,178.854 516.205,178.802 516.233,178.75 516.26,178.697 516.288,178.645 516.316,178.593 516.343,178.54 516.371,178.488 \n",
       "  516.398,178.436 516.426,178.383 516.454,178.331 516.481,178.278 516.509,178.226 516.537,178.174 516.564,178.121 516.592,178.069 516.62,178.016 516.647,177.964 \n",
       "  516.675,177.912 516.702,177.859 516.73,177.807 516.758,177.754 516.785,177.702 516.813,177.649 516.841,177.597 516.868,177.544 516.896,177.492 516.924,177.439 \n",
       "  516.951,177.387 516.979,177.334 517.006,177.282 517.034,177.229 517.062,177.177 517.089,177.124 517.117,177.072 517.145,177.019 517.172,176.967 517.2,176.914 \n",
       "  517.228,176.861 517.255,176.809 517.283,176.756 517.31,176.704 517.338,176.651 517.366,176.598 517.393,176.546 517.421,176.493 517.449,176.441 517.476,176.388 \n",
       "  517.504,176.335 517.532,176.283 517.559,176.23 517.587,176.177 517.614,176.125 517.642,176.072 517.67,176.019 517.697,175.967 517.725,175.914 517.753,175.861 \n",
       "  517.78,175.808 517.808,175.756 517.836,175.703 517.863,175.65 517.891,175.597 517.919,175.545 517.946,175.492 517.974,175.439 518.001,175.386 518.029,175.334 \n",
       "  518.057,175.281 518.084,175.228 518.112,175.175 518.14,175.122 518.167,175.07 518.195,175.017 518.223,174.964 518.25,174.911 518.278,174.858 518.305,174.805 \n",
       "  518.333,174.753 518.361,174.7 518.388,174.647 518.416,174.594 518.444,174.541 518.471,174.488 518.499,174.435 518.527,174.382 518.554,174.329 518.582,174.276 \n",
       "  518.609,174.224 518.637,174.171 518.665,174.118 518.692,174.065 518.72,174.012 518.748,173.959 518.775,173.906 518.803,173.853 518.831,173.8 518.858,173.747 \n",
       "  518.886,173.694 518.913,173.641 518.941,173.588 518.969,173.535 518.996,173.482 519.024,173.429 519.052,173.376 519.079,173.323 519.107,173.269 519.135,173.216 \n",
       "  519.162,173.163 519.19,173.11 519.217,173.057 519.245,173.004 519.273,172.951 519.3,172.898 519.328,172.845 519.356,172.792 519.383,172.738 519.411,172.685 \n",
       "  519.439,172.632 519.466,172.579 519.494,172.526 519.521,172.473 519.549,172.419 519.577,172.366 519.604,172.313 519.632,172.26 519.66,172.207 519.687,172.153 \n",
       "  519.715,172.1 519.743,172.047 519.77,171.994 519.798,171.941 519.826,171.887 519.853,171.834 519.881,171.781 519.908,171.727 519.936,171.674 519.964,171.621 \n",
       "  519.991,171.568 520.019,171.514 520.047,171.461 520.074,171.408 520.102,171.354 520.13,171.301 520.157,171.248 520.185,171.194 520.212,171.141 520.24,171.088 \n",
       "  520.268,171.034 520.295,170.981 520.323,170.928 520.351,170.874 520.378,170.821 520.406,170.767 520.434,170.714 520.461,170.661 520.489,170.607 520.516,170.554 \n",
       "  520.544,170.5 520.572,170.447 520.599,170.393 520.627,170.34 520.655,170.286 520.682,170.233 520.71,170.179 520.738,170.126 520.765,170.072 520.793,170.019 \n",
       "  520.82,169.965 520.848,169.912 520.876,169.858 520.903,169.805 520.931,169.751 520.959,169.698 520.986,169.644 521.014,169.591 521.042,169.537 521.069,169.484 \n",
       "  521.097,169.43 521.124,169.376 521.152,169.323 521.18,169.269 521.207,169.216 521.235,169.162 521.263,169.108 521.29,169.055 521.318,169.001 521.346,168.947 \n",
       "  521.373,168.894 521.401,168.84 521.429,168.786 521.456,168.733 521.484,168.679 521.511,168.625 521.539,168.572 521.567,168.518 521.594,168.464 521.622,168.41 \n",
       "  521.65,168.357 521.677,168.303 521.705,168.249 521.733,168.196 521.76,168.142 521.788,168.088 521.815,168.034 521.843,167.98 521.871,167.927 521.898,167.873 \n",
       "  521.926,167.819 521.954,167.765 521.981,167.711 522.009,167.658 522.037,167.604 522.064,167.55 522.092,167.496 522.119,167.442 522.147,167.388 522.175,167.335 \n",
       "  522.202,167.281 522.23,167.227 522.258,167.173 522.285,167.119 522.313,167.065 522.341,167.011 522.368,166.957 522.396,166.903 522.423,166.849 522.451,166.795 \n",
       "  522.479,166.742 522.506,166.688 522.534,166.634 522.562,166.58 522.589,166.526 522.617,166.472 522.645,166.418 522.672,166.364 522.7,166.31 522.727,166.256 \n",
       "  522.755,166.202 522.783,166.148 522.81,166.094 522.838,166.04 522.866,165.986 522.893,165.932 522.921,165.877 522.949,165.823 522.976,165.769 523.004,165.715 \n",
       "  523.031,165.661 523.059,165.607 523.087,165.553 523.114,165.499 523.142,165.445 523.17,165.391 523.197,165.336 523.225,165.282 523.253,165.228 523.28,165.174 \n",
       "  523.308,165.12 523.336,165.066 523.363,165.012 523.391,164.957 523.418,164.903 523.446,164.849 523.474,164.795 523.501,164.741 523.529,164.686 523.557,164.632 \n",
       "  523.584,164.578 523.612,164.524 523.64,164.469 523.667,164.415 523.695,164.361 523.722,164.307 523.75,164.252 523.778,164.198 523.805,164.144 523.833,164.089 \n",
       "  523.861,164.035 523.888,163.981 523.916,163.927 523.944,163.872 523.971,163.818 523.999,163.764 524.026,163.709 524.054,163.655 524.082,163.6 524.109,163.546 \n",
       "  524.137,163.492 524.165,163.437 524.192,163.383 524.22,163.329 524.248,163.274 524.275,163.22 524.303,163.165 524.33,163.111 524.358,163.056 524.386,163.002 \n",
       "  524.413,162.948 524.441,162.893 524.469,162.839 524.496,162.784 524.524,162.73 524.552,162.675 524.579,162.621 524.607,162.566 524.634,162.512 524.662,162.457 \n",
       "  524.69,162.403 524.717,162.348 524.745,162.294 524.773,162.239 524.8,162.184 524.828,162.13 524.856,162.075 524.883,162.021 524.911,161.966 524.939,161.912 \n",
       "  524.966,161.857 524.994,161.802 525.021,161.748 525.049,161.693 525.077,161.639 525.104,161.584 525.132,161.529 525.16,161.475 525.187,161.42 525.215,161.365 \n",
       "  525.243,161.311 525.27,161.256 525.298,161.201 525.325,161.147 525.353,161.092 525.381,161.037 525.408,160.983 525.436,160.928 525.464,160.873 525.491,160.818 \n",
       "  525.519,160.764 525.547,160.709 525.574,160.654 525.602,160.599 525.629,160.545 525.657,160.49 525.685,160.435 525.712,160.38 525.74,160.326 525.768,160.271 \n",
       "  525.795,160.216 525.823,160.161 525.851,160.106 525.878,160.051 525.906,159.997 525.933,159.942 525.961,159.887 525.989,159.832 526.016,159.777 526.044,159.722 \n",
       "  526.072,159.667 526.099,159.613 526.127,159.558 526.155,159.503 526.182,159.448 526.21,159.393 526.237,159.338 526.265,159.283 526.293,159.228 526.32,159.173 \n",
       "  526.348,159.118 526.376,159.063 526.403,159.008 526.431,158.953 526.459,158.898 526.486,158.843 526.514,158.788 526.541,158.733 526.569,158.678 526.597,158.623 \n",
       "  526.624,158.568 526.652,158.513 526.68,158.458 526.707,158.403 526.735,158.348 526.763,158.293 526.79,158.238 526.818,158.183 526.846,158.128 526.873,158.073 \n",
       "  526.901,158.018 526.928,157.962 526.956,157.907 526.984,157.852 527.011,157.797 527.039,157.742 527.067,157.687 527.094,157.632 527.122,157.577 527.15,157.521 \n",
       "  527.177,157.466 527.205,157.411 527.232,157.356 527.26,157.301 527.288,157.245 527.315,157.19 527.343,157.135 527.371,157.08 527.398,157.025 527.426,156.969 \n",
       "  527.454,156.914 527.481,156.859 527.509,156.804 527.536,156.748 527.564,156.693 527.592,156.638 527.619,156.583 527.647,156.527 527.675,156.472 527.702,156.417 \n",
       "  527.73,156.361 527.758,156.306 527.785,156.251 527.813,156.195 527.84,156.14 527.868,156.085 527.896,156.029 527.923,155.974 527.951,155.919 527.979,155.863 \n",
       "  528.006,155.808 528.034,155.752 528.062,155.697 528.089,155.642 528.117,155.586 528.144,155.531 528.172,155.475 528.2,155.42 528.227,155.364 528.255,155.309 \n",
       "  528.283,155.253 528.31,155.198 528.338,155.143 528.366,155.087 528.393,155.032 528.421,154.976 528.449,154.921 528.476,154.865 528.504,154.81 528.531,154.754 \n",
       "  528.559,154.699 528.587,154.643 528.614,154.587 528.642,154.532 528.67,154.476 528.697,154.421 528.725,154.365 528.753,154.31 528.78,154.254 528.808,154.198 \n",
       "  528.835,154.143 528.863,154.087 528.891,154.032 528.918,153.976 528.946,153.92 528.974,153.865 529.001,153.809 529.029,153.753 529.057,153.698 529.084,153.642 \n",
       "  529.112,153.586 529.139,153.531 529.167,153.475 529.195,153.419 529.222,153.364 529.25,153.308 529.278,153.252 529.305,153.196 529.333,153.141 529.361,153.085 \n",
       "  529.388,153.029 529.416,152.973 529.443,152.918 529.471,152.862 529.499,152.806 529.526,152.75 529.554,152.695 529.582,152.639 529.609,152.583 529.637,152.527 \n",
       "  529.665,152.471 529.692,152.416 529.72,152.36 529.747,152.304 529.775,152.248 529.803,152.192 529.83,152.136 529.858,152.08 529.886,152.025 529.913,151.969 \n",
       "  529.941,151.913 529.969,151.857 529.996,151.801 530.024,151.745 530.051,151.689 530.079,151.633 530.107,151.577 530.134,151.521 530.162,151.465 530.19,151.409 \n",
       "  530.217,151.353 530.245,151.297 530.273,151.242 530.3,151.186 530.328,151.13 530.356,151.074 530.383,151.018 530.411,150.962 530.438,150.905 530.466,150.849 \n",
       "  530.494,150.793 530.521,150.737 530.549,150.681 530.577,150.625 530.604,150.569 530.632,150.513 530.66,150.457 530.687,150.401 530.715,150.345 530.742,150.289 \n",
       "  530.77,150.233 530.798,150.177 530.825,150.12 530.853,150.064 530.881,150.008 530.908,149.952 530.936,149.896 530.964,149.84 530.991,149.784 531.019,149.727 \n",
       "  531.046,149.671 531.074,149.615 531.102,149.559 531.129,149.503 531.157,149.446 531.185,149.39 531.212,149.334 531.24,149.278 531.268,149.221 531.295,149.165 \n",
       "  531.323,149.109 531.35,149.053 531.378,148.996 531.406,148.94 531.433,148.884 531.461,148.828 531.489,148.771 531.516,148.715 531.544,148.659 531.572,148.602 \n",
       "  531.599,148.546 531.627,148.49 531.654,148.433 531.682,148.377 531.71,148.321 531.737,148.264 531.765,148.208 531.793,148.152 531.82,148.095 531.848,148.039 \n",
       "  531.876,147.982 531.903,147.926 531.931,147.87 531.959,147.813 531.986,147.757 532.014,147.7 532.041,147.644 532.069,147.587 532.097,147.531 532.124,147.475 \n",
       "  532.152,147.418 532.18,147.362 532.207,147.305 532.235,147.249 532.263,147.192 532.29,147.136 532.318,147.079 532.345,147.023 532.373,146.966 532.401,146.91 \n",
       "  532.428,146.853 532.456,146.796 532.484,146.74 532.511,146.683 532.539,146.627 532.567,146.57 532.594,146.514 532.622,146.457 532.649,146.4 532.677,146.344 \n",
       "  532.705,146.287 532.732,146.231 532.76,146.174 532.788,146.117 532.815,146.061 532.843,146.004 532.871,145.947 532.898,145.891 532.926,145.834 532.953,145.777 \n",
       "  532.981,145.721 533.009,145.664 533.036,145.607 533.064,145.551 533.092,145.494 533.119,145.437 533.147,145.38 533.175,145.324 533.202,145.267 533.23,145.21 \n",
       "  533.257,145.153 533.285,145.097 533.313,145.04 533.34,144.983 533.368,144.926 533.396,144.87 533.423,144.813 533.451,144.756 533.479,144.699 533.506,144.642 \n",
       "  533.534,144.585 533.561,144.529 533.589,144.472 533.617,144.415 533.644,144.358 533.672,144.301 533.7,144.244 533.727,144.187 533.755,144.131 533.783,144.074 \n",
       "  533.81,144.017 533.838,143.96 533.866,143.903 533.893,143.846 533.921,143.789 533.948,143.732 533.976,143.675 534.004,143.618 534.031,143.561 534.059,143.504 \n",
       "  534.087,143.447 534.114,143.39 534.142,143.333 534.17,143.276 534.197,143.219 534.225,143.162 534.252,143.105 534.28,143.048 534.308,142.991 534.335,142.934 \n",
       "  534.363,142.877 534.391,142.82 534.418,142.763 534.446,142.706 534.474,142.649 534.501,142.592 534.529,142.535 534.556,142.478 534.584,142.421 534.612,142.364 \n",
       "  534.639,142.306 534.667,142.249 534.695,142.192 534.722,142.135 534.75,142.078 534.778,142.021 534.805,141.964 534.833,141.906 534.86,141.849 534.888,141.792 \n",
       "  534.916,141.735 534.943,141.678 534.971,141.62 534.999,141.563 535.026,141.506 535.054,141.449 535.082,141.392 535.109,141.334 535.137,141.277 535.164,141.22 \n",
       "  535.192,141.163 535.22,141.105 535.247,141.048 535.275,140.991 535.303,140.933 535.33,140.876 535.358,140.819 535.386,140.761 535.413,140.704 535.441,140.647 \n",
       "  535.469,140.59 535.496,140.532 535.524,140.475 535.551,140.417 535.579,140.36 535.607,140.303 535.634,140.245 535.662,140.188 535.69,140.131 535.717,140.073 \n",
       "  535.745,140.016 535.773,139.958 535.8,139.901 535.828,139.844 535.855,139.786 535.883,139.729 535.911,139.671 535.938,139.614 535.966,139.556 535.994,139.499 \n",
       "  536.021,139.441 536.049,139.384 536.077,139.326 536.104,139.269 536.132,139.211 536.159,139.154 536.187,139.096 536.215,139.039 536.242,138.981 536.27,138.924 \n",
       "  536.298,138.866 536.325,138.809 536.353,138.751 536.381,138.693 536.408,138.636 536.436,138.578 536.463,138.521 536.491,138.463 536.519,138.405 536.546,138.348 \n",
       "  536.574,138.29 536.602,138.233 536.629,138.175 536.657,138.117 536.685,138.06 536.712,138.002 536.74,137.944 536.767,137.887 536.795,137.829 536.823,137.771 \n",
       "  536.85,137.714 536.878,137.656 536.906,137.598 536.933,137.54 536.961,137.483 536.989,137.425 537.016,137.367 537.044,137.31 537.071,137.252 537.099,137.194 \n",
       "  537.127,137.136 537.154,137.079 537.182,137.021 537.21,136.963 537.237,136.905 537.265,136.847 537.293,136.79 537.32,136.732 537.348,136.674 537.376,136.616 \n",
       "  537.403,136.558 537.431,136.5 537.458,136.443 537.486,136.385 537.514,136.327 537.541,136.269 537.569,136.211 537.597,136.153 537.624,136.095 537.652,136.037 \n",
       "  537.68,135.979 537.707,135.922 537.735,135.864 537.762,135.806 537.79,135.748 537.818,135.69 537.845,135.632 537.873,135.574 537.901,135.516 537.928,135.458 \n",
       "  537.956,135.4 537.984,135.342 538.011,135.284 538.039,135.226 538.066,135.168 538.094,135.11 538.122,135.052 538.149,134.994 538.177,134.936 538.205,134.878 \n",
       "  538.232,134.82 538.26,134.762 538.288,134.704 538.315,134.645 538.343,134.587 538.37,134.529 538.398,134.471 538.426,134.413 538.453,134.355 538.481,134.297 \n",
       "  538.509,134.239 538.536,134.181 538.564,134.122 538.592,134.064 538.619,134.006 538.647,133.948 538.674,133.89 538.702,133.832 538.73,133.773 538.757,133.715 \n",
       "  538.785,133.657 538.813,133.599 538.84,133.541 538.868,133.482 538.896,133.424 538.923,133.366 538.951,133.308 538.979,133.249 539.006,133.191 539.034,133.133 \n",
       "  539.061,133.075 539.089,133.016 539.117,132.958 539.144,132.9 539.172,132.842 539.2,132.783 539.227,132.725 539.255,132.667 539.283,132.608 539.31,132.55 \n",
       "  539.338,132.492 539.365,132.433 539.393,132.375 539.421,132.317 539.448,132.258 539.476,132.2 539.504,132.141 539.531,132.083 539.559,132.025 539.587,131.966 \n",
       "  539.614,131.908 539.642,131.849 539.669,131.791 539.697,131.732 539.725,131.674 539.752,131.616 539.78,131.557 539.808,131.499 539.835,131.44 539.863,131.382 \n",
       "  539.891,131.323 539.918,131.265 539.946,131.206 539.973,131.148 540.001,131.089 540.029,131.031 540.056,130.972 540.084,130.914 540.112,130.855 540.139,130.796 \n",
       "  540.167,130.738 540.195,130.679 540.222,130.621 540.25,130.562 540.277,130.504 540.305,130.445 540.333,130.386 540.36,130.328 540.388,130.269 540.416,130.211 \n",
       "  540.443,130.152 540.471,130.093 540.499,130.035 540.526,129.976 540.554,129.917 540.581,129.859 540.609,129.8 540.637,129.741 540.664,129.683 540.692,129.624 \n",
       "  540.72,129.565 540.747,129.506 540.775,129.448 540.803,129.389 540.83,129.33 540.858,129.272 540.886,129.213 540.913,129.154 540.941,129.095 540.968,129.037 \n",
       "  540.996,128.978 541.024,128.919 541.051,128.86 541.079,128.801 541.107,128.743 541.134,128.684 541.162,128.625 541.19,128.566 541.217,128.507 541.245,128.448 \n",
       "  541.272,128.39 541.3,128.331 541.328,128.272 541.355,128.213 541.383,128.154 541.411,128.095 541.438,128.036 541.466,127.977 541.494,127.919 541.521,127.86 \n",
       "  541.549,127.801 541.576,127.742 541.604,127.683 541.632,127.624 541.659,127.565 541.687,127.506 541.715,127.447 541.742,127.388 541.77,127.329 541.798,127.27 \n",
       "  541.825,127.211 541.853,127.152 541.88,127.093 541.908,127.034 541.936,126.975 541.963,126.916 541.991,126.857 542.019,126.798 542.046,126.739 542.074,126.68 \n",
       "  542.102,126.621 542.129,126.562 542.157,126.503 542.184,126.444 542.212,126.384 542.24,126.325 542.267,126.266 542.295,126.207 542.323,126.148 542.35,126.089 \n",
       "  542.378,126.03 542.406,125.971 542.433,125.911 542.461,125.852 542.489,125.793 542.516,125.734 542.544,125.675 542.571,125.616 542.599,125.556 542.627,125.497 \n",
       "  542.654,125.438 542.682,125.379 542.71,125.32 542.737,125.26 542.765,125.201 542.793,125.142 542.82,125.083 542.848,125.023 542.875,124.964 542.903,124.905 \n",
       "  542.931,124.845 542.958,124.786 542.986,124.727 543.014,124.668 543.041,124.608 543.069,124.549 543.097,124.49 543.124,124.43 543.152,124.371 543.179,124.312 \n",
       "  543.207,124.252 543.235,124.193 543.262,124.134 543.29,124.074 543.318,124.015 543.345,123.955 543.373,123.896 543.401,123.837 543.428,123.777 543.456,123.718 \n",
       "  543.483,123.658 543.511,123.599 543.539,123.539 543.566,123.48 543.594,123.421 543.622,123.361 543.649,123.302 543.677,123.242 543.705,123.183 543.732,123.123 \n",
       "  543.76,123.064 543.787,123.004 543.815,122.945 543.843,122.885 543.87,122.826 543.898,122.766 543.926,122.707 543.953,122.647 543.981,122.587 544.009,122.528 \n",
       "  544.036,122.468 544.064,122.409 544.091,122.349 544.119,122.29 544.147,122.23 544.174,122.17 544.202,122.111 544.23,122.051 544.257,121.992 544.285,121.932 \n",
       "  544.313,121.872 544.34,121.813 544.368,121.753 544.396,121.693 544.423,121.634 544.451,121.574 544.478,121.514 544.506,121.455 544.534,121.395 544.561,121.335 \n",
       "  544.589,121.275 544.617,121.216 544.644,121.156 544.672,121.096 544.7,121.036 544.727,120.977 544.755,120.917 544.782,120.857 544.81,120.797 544.838,120.738 \n",
       "  544.865,120.678 544.893,120.618 544.921,120.558 544.948,120.498 544.976,120.439 545.004,120.379 545.031,120.319 545.059,120.259 545.086,120.199 545.114,120.139 \n",
       "  545.142,120.08 545.169,120.02 545.197,119.96 545.225,119.9 545.252,119.84 545.28,119.78 545.308,119.72 545.335,119.66 545.363,119.601 545.39,119.541 \n",
       "  545.418,119.481 545.446,119.421 545.473,119.361 545.501,119.301 545.529,119.241 545.556,119.181 545.584,119.121 545.612,119.061 545.639,119.001 545.667,118.941 \n",
       "  545.694,118.881 545.722,118.821 545.75,118.761 545.777,118.701 545.805,118.641 545.833,118.581 545.86,118.521 545.888,118.461 545.916,118.401 545.943,118.341 \n",
       "  545.971,118.281 545.999,118.22 546.026,118.16 546.054,118.1 546.081,118.04 546.109,117.98 546.137,117.92 546.164,117.86 546.192,117.8 546.22,117.74 \n",
       "  546.247,117.679 546.275,117.619 546.303,117.559 546.33,117.499 546.358,117.439 546.385,117.379 546.413,117.318 546.441,117.258 546.468,117.198 546.496,117.138 \n",
       "  546.524,117.078 546.551,117.017 546.579,116.957 546.607,116.897 546.634,116.837 546.662,116.776 546.689,116.716 546.717,116.656 546.745,116.596 546.772,116.535 \n",
       "  546.8,116.475 546.828,116.415 546.855,116.354 546.883,116.294 546.911,116.234 546.938,116.173 546.966,116.113 546.993,116.053 547.021,115.992 547.049,115.932 \n",
       "  547.076,115.872 547.104,115.811 547.132,115.751 547.159,115.69 547.187,115.63 547.215,115.57 547.242,115.509 547.27,115.449 547.297,115.388 547.325,115.328 \n",
       "  547.353,115.268 547.38,115.207 547.408,115.147 547.436,115.086 547.463,115.026 547.491,114.965 547.519,114.905 547.546,114.844 547.574,114.784 547.601,114.723 \n",
       "  547.629,114.663 547.657,114.602 547.684,114.542 547.712,114.481 547.74,114.421 547.767,114.36 547.795,114.3 547.823,114.239 547.85,114.179 547.878,114.118 \n",
       "  547.906,114.057 547.933,113.997 547.961,113.936 547.988,113.876 548.016,113.815 548.044,113.754 548.071,113.694 548.099,113.633 548.127,113.572 548.154,113.512 \n",
       "  548.182,113.451 548.21,113.391 548.237,113.33 548.265,113.269 548.292,113.209 548.32,113.148 548.348,113.087 548.375,113.026 548.403,112.966 548.431,112.905 \n",
       "  548.458,112.844 548.486,112.784 548.514,112.723 548.541,112.662 548.569,112.601 548.596,112.541 548.624,112.48 548.652,112.419 548.679,112.358 548.707,112.297 \n",
       "  548.735,112.237 548.762,112.176 548.79,112.115 548.818,112.054 548.845,111.993 548.873,111.933 548.9,111.872 548.928,111.811 548.956,111.75 548.983,111.689 \n",
       "  549.011,111.628 549.039,111.567 549.066,111.507 549.094,111.446 549.122,111.385 549.149,111.324 549.177,111.263 549.204,111.202 549.232,111.141 549.26,111.08 \n",
       "  549.287,111.019 549.315,110.958 549.343,110.897 549.37,110.836 549.398,110.775 549.426,110.714 549.453,110.653 549.481,110.592 549.509,110.531 549.536,110.47 \n",
       "  549.564,110.409 549.591,110.348 549.619,110.287 549.647,110.226 549.674,110.165 549.702,110.104 549.73,110.043 549.757,109.982 549.785,109.921 549.813,109.86 \n",
       "  549.84,109.799 549.868,109.738 549.895,109.677 549.923,109.616 549.951,109.554 549.978,109.493 550.006,109.432 550.034,109.371 550.061,109.31 550.089,109.249 \n",
       "  550.117,109.188 550.144,109.126 550.172,109.065 550.199,109.004 550.227,108.943 550.255,108.882 550.282,108.821 550.31,108.759 550.338,108.698 550.365,108.637 \n",
       "  550.393,108.576 550.421,108.514 550.448,108.453 550.476,108.392 550.503,108.331 550.531,108.269 550.559,108.208 550.586,108.147 550.614,108.086 550.642,108.024 \n",
       "  550.669,107.963 550.697,107.902 550.725,107.84 550.752,107.779 550.78,107.718 550.807,107.656 550.835,107.595 550.863,107.534 550.89,107.472 550.918,107.411 \n",
       "  550.946,107.35 550.973,107.288 551.001,107.227 551.029,107.165 551.056,107.104 551.084,107.043 551.111,106.981 551.139,106.92 551.167,106.858 551.194,106.797 \n",
       "  551.222,106.735 551.25,106.674 551.277,106.613 551.305,106.551 551.333,106.49 551.36,106.428 551.388,106.367 551.416,106.305 551.443,106.244 551.471,106.182 \n",
       "  551.498,106.121 551.526,106.059 551.554,105.998 551.581,105.936 551.609,105.875 551.637,105.813 551.664,105.751 551.692,105.69 551.72,105.628 551.747,105.567 \n",
       "  551.775,105.505 551.802,105.443 551.83,105.382 551.858,105.32 551.885,105.259 551.913,105.197 551.941,105.135 551.968,105.074 551.996,105.012 552.024,104.95 \n",
       "  552.051,104.889 552.079,104.827 552.106,104.765 552.134,104.704 552.162,104.642 552.189,104.58 552.217,104.519 552.245,104.457 552.272,104.395 552.3,104.334 \n",
       "  552.328,104.272 552.355,104.21 552.383,104.148 552.41,104.087 552.438,104.025 552.466,103.963 552.493,103.901 552.521,103.839 552.549,103.778 552.576,103.716 \n",
       "  552.604,103.654 552.632,103.592 552.659,103.53 552.687,103.469 552.714,103.407 552.742,103.345 552.77,103.283 552.797,103.221 552.825,103.159 552.853,103.097 \n",
       "  552.88,103.036 552.908,102.974 552.936,102.912 552.963,102.85 552.991,102.788 553.019,102.726 553.046,102.664 553.074,102.602 553.101,102.54 553.129,102.478 \n",
       "  553.157,102.416 553.184,102.354 553.212,102.293 553.24,102.231 553.267,102.169 553.295,102.107 553.323,102.045 553.35,101.983 553.378,101.921 553.405,101.859 \n",
       "  553.433,101.797 553.461,101.734 553.488,101.672 553.516,101.61 553.544,101.548 553.571,101.486 553.599,101.424 553.627,101.362 553.654,101.3 553.682,101.238 \n",
       "  553.709,101.176 553.737,101.114 553.765,101.052 553.792,100.99 553.82,100.927 553.848,100.865 553.875,100.803 553.903,100.741 553.931,100.679 553.958,100.617 \n",
       "  553.986,100.555 554.013,100.492 554.041,100.43 554.069,100.368 554.096,100.306 554.124,100.244 554.152,100.181 554.179,100.119 554.207,100.057 554.235,99.9948 \n",
       "  554.262,99.9325 554.29,99.8703 554.317,99.808 554.345,99.7458 554.373,99.6835 554.4,99.6212 554.428,99.5589 554.456,99.4966 554.483,99.4344 554.511,99.372 \n",
       "  554.539,99.3097 554.566,99.2474 554.594,99.1851 554.621,99.1228 554.649,99.0604 554.677,98.9981 554.704,98.9357 554.732,98.8734 554.76,98.811 554.787,98.7486 \n",
       "  554.815,98.6862 554.843,98.6238 554.87,98.5615 554.898,98.499 554.926,98.4366 554.953,98.3742 554.981,98.3118 555.008,98.2494 555.036,98.1869 555.064,98.1245 \n",
       "  555.091,98.062 555.119,97.9996 555.147,97.9371 555.174,97.8746 555.202,97.8121 555.23,97.7496 555.257,97.6871 555.285,97.6246 555.312,97.5621 555.34,97.4996 \n",
       "  555.368,97.4371 555.395,97.3745 555.423,97.312 555.451,97.2494 555.478,97.1869 555.506,97.1243 555.534,97.0618 555.561,96.9992 555.589,96.9366 555.616,96.874 \n",
       "  555.644,96.8114 555.672,96.7488 555.699,96.6862 555.727,96.6236 555.755,96.5609 555.782,96.4983 555.81,96.4357 555.838,96.373 555.865,96.3104 555.893,96.2477 \n",
       "  555.92,96.185 555.948,96.1223 555.976,96.0597 556.003,95.997 556.031,95.9343 556.059,95.8716 556.086,95.8088 556.114,95.7461 556.142,95.6834 556.169,95.6207 \n",
       "  556.197,95.5579 556.224,95.4952 556.252,95.4324 556.28,95.3696 556.307,95.3069 556.335,95.2441 556.363,95.1813 556.39,95.1185 556.418,95.0557 556.446,94.9929 \n",
       "  556.473,94.9301 556.501,94.8673 556.529,94.8044 556.556,94.7416 556.584,94.6788 556.611,94.6159 556.639,94.553 556.667,94.4902 556.694,94.4273 556.722,94.3644 \n",
       "  556.75,94.3015 556.777,94.2386 556.805,94.1757 556.833,94.1128 556.86,94.0499 556.888,93.987 556.915,93.9241 556.943,93.8611 556.971,93.7982 556.998,93.7352 \n",
       "  557.026,93.6723 557.054,93.6093 557.081,93.5463 557.109,93.4833 557.137,93.4204 557.164,93.3574 557.192,93.2944 557.219,93.2313 557.247,93.1683 557.275,93.1053 \n",
       "  557.302,93.0423 557.33,92.9792 557.358,92.9162 557.385,92.8531 557.413,92.7901 557.441,92.727 557.468,92.6639 557.496,92.6009 557.523,92.5378 557.551,92.4747 \n",
       "  557.579,92.4116 557.606,92.3485 557.634,92.2853 557.662,92.2222 557.689,92.1591 557.717,92.0959 557.745,92.0328 557.772,91.9696 557.8,91.9065 557.827,91.8433 \n",
       "  557.855,91.7801 557.883,91.7169 557.91,91.6538 557.938,91.5906 557.966,91.5274 557.993,91.4641 558.021,91.4009 558.049,91.3377 558.076,91.2745 558.104,91.2112 \n",
       "  558.131,91.148 558.159,91.0847 558.187,91.0215 558.214,90.9582 558.242,90.8949 558.27,90.8316 558.297,90.7683 558.325,90.705 558.353,90.6417 558.38,90.5784 \n",
       "  558.408,90.5151 558.436,90.4518 558.463,90.3884 558.491,90.3251 558.518,90.2617 558.546,90.1984 558.574,90.135 558.601,90.0717 558.629,90.0083 558.657,89.9449 \n",
       "  558.684,89.8815 558.712,89.8181 558.74,89.7547 558.767,89.6913 558.795,89.6279 558.822,89.5644 558.85,89.501 558.878,89.4376 558.905,89.3741 558.933,89.3106 \n",
       "  558.961,89.2472 558.988,89.1837 559.016,89.1202 559.044,89.0567 559.071,88.9933 559.099,88.9298 559.126,88.8662 559.154,88.8027 559.182,88.7392 559.209,88.6757 \n",
       "  559.237,88.6121 559.265,88.5486 559.292,88.485 559.32,88.4215 559.348,88.3579 559.375,88.2943 559.403,88.2308 559.43,88.1672 559.458,88.1036 559.486,88.04 \n",
       "  559.513,87.9764 559.541,87.9128 559.569,87.8491 559.596,87.7855 559.624,87.7219 559.652,87.6582 559.679,87.5946 559.707,87.5309 559.734,87.4673 559.762,87.4036 \n",
       "  559.79,87.3399 559.817,87.2762 559.845,87.2125 559.873,87.1488 559.9,87.0851 559.928,87.0214 559.956,86.9577 559.983,86.8939 560.011,86.8302 560.039,86.7664 \n",
       "  560.066,86.7027 560.094,86.6389 560.121,86.5752 560.149,86.5114 560.177,86.4476 560.204,86.3838 560.232,86.32 560.26,86.2562 560.287,86.1924 560.315,86.1286 \n",
       "  560.343,86.0648 560.37,86.0009 560.398,85.9371 560.425,85.8732 560.453,85.8094 560.481,85.7455 560.508,85.6817 560.536,85.6178 560.564,85.5539 560.591,85.49 \n",
       "  560.619,85.4261 560.647,85.3622 560.674,85.2983 560.702,85.2344 560.729,85.1705 560.757,85.1065 560.785,85.0426 560.812,84.9786 560.84,84.9147 560.868,84.8507 \n",
       "  560.895,84.7868 560.923,84.7228 560.951,84.6588 560.978,84.5948 561.006,84.5308 561.033,84.4668 561.061,84.4028 561.089,84.3388 561.116,84.2747 561.144,84.2107 \n",
       "  561.172,84.1467 561.199,84.0826 561.227,84.0186 561.255,83.9545 561.282,83.8904 561.31,83.8263 561.337,83.7623 561.365,83.6982 561.393,83.6341 561.42,83.57 \n",
       "  561.448,83.5059 561.476,83.4417 561.503,83.3776 561.531,83.3135 561.559,83.2493 561.586,83.1852 561.614,83.121 561.641,83.0569 561.669,82.9927 561.697,82.9285 \n",
       "  561.724,82.8643 561.752,82.8001 561.78,82.7359 561.807,82.6717 561.835,82.6075 561.863,82.5433 561.89,82.4791 561.918,82.4148 561.946,82.3506 561.973,82.2863 \n",
       "  562.001,82.2221 562.028,82.1578 562.056,82.0935 562.084,82.0293 562.111,81.965 562.139,81.9007 562.167,81.8364 562.194,81.7721 562.222,81.7077 562.25,81.6434 \n",
       "  562.277,81.5791 562.305,81.5148 562.332,81.4504 562.36,81.3861 562.388,81.3217 562.415,81.2573 562.443,81.193 562.471,81.1286 562.498,81.0642 562.526,80.9998 \n",
       "  562.554,80.9354 562.581,80.871 562.609,80.8066 562.636,80.7422 562.664,80.6777 562.692,80.6133 562.719,80.5488 562.747,80.4844 562.775,80.4199 562.802,80.3555 \n",
       "  562.83,80.291 562.858,80.2265 562.885,80.162 562.913,80.0975 562.94,80.033 562.968,79.9685 562.996,79.904 563.023,79.8395 563.051,79.7749 563.079,79.7104 \n",
       "  563.106,79.6458 563.134,79.5813 563.162,79.5167 563.189,79.4522 563.217,79.3876 563.244,79.323 563.272,79.2584 563.3,79.1938 563.327,79.1292 563.355,79.0646 \n",
       "  563.383,79 563.41,78.9354 563.438,78.8707 563.466,78.8061 563.493,78.7414 563.521,78.6768 563.549,78.6121 563.576,78.5475 563.604,78.4828 563.631,78.4181 \n",
       "  563.659,78.3534 563.687,78.2887 563.714,78.224 563.742,78.1593 563.77,78.0946 563.797,78.0298 563.825,77.9651 563.853,77.9004 563.88,77.8356 563.908,77.7709 \n",
       "  563.935,77.7061 563.963,77.6413 563.991,77.5766 564.018,77.5118 564.046,77.447 564.074,77.3822 564.101,77.3174 564.129,77.2526 564.157,77.1877 564.184,77.1229 \n",
       "  564.212,77.0581 564.239,76.9932 564.267,76.9284 564.295,76.8635 564.322,76.7987 564.35,76.7338 564.378,76.6689 564.405,76.604 564.433,76.5391 564.461,76.4742 \n",
       "  564.488,76.4093 564.516,76.3444 564.543,76.2795 564.571,76.2146 564.599,76.1496 564.626,76.0847 564.654,76.0197 564.682,75.9548 564.709,75.8898 564.737,75.8249 \n",
       "  564.765,75.7599 564.792,75.6949 564.82,75.6299 564.847,75.5649 564.875,75.4999 564.903,75.4349 564.93,75.3699 564.958,75.3048 564.986,75.2398 565.013,75.1747 \n",
       "  565.041,75.1097 565.069,75.0446 565.096,74.9796 565.124,74.9145 565.151,74.8494 565.179,74.7843 565.207,74.7192 565.234,74.6541 565.262,74.589 565.29,74.5239 \n",
       "  565.317,74.4588 565.345,74.3937 565.373,74.3285 565.4,74.2634 565.428,74.1982 565.456,74.1331 565.483,74.0679 565.511,74.0027 565.538,73.9375 565.566,73.8724 \n",
       "  565.594,73.8072 565.621,73.742 565.649,73.6767 565.677,73.6115 565.704,73.5463 565.732,73.4811 565.76,73.4158 565.787,73.3506 565.815,73.2853 565.842,73.2201 \n",
       "  565.87,73.1548 565.898,73.0895 565.925,73.0242 565.953,72.959 565.981,72.8937 566.008,72.8284 566.036,72.763 566.064,72.6977 566.091,72.6324 566.119,72.5671 \n",
       "  566.146,72.5017 566.174,72.4364 566.202,72.371 566.229,72.3057 566.257,72.2403 566.285,72.1749 566.312,72.1095 566.34,72.0442 566.368,71.9788 566.395,71.9134 \n",
       "  566.423,71.8479 566.45,71.7825 566.478,71.7171 566.506,71.6517 566.533,71.5862 566.561,71.5208 566.589,71.4553 566.616,71.3899 566.644,71.3244 566.672,71.2589 \n",
       "  566.699,71.1934 566.727,71.1279 566.754,71.0624 566.782,70.9969 566.81,70.9314 566.837,70.8659 566.865,70.8004 566.893,70.7348 566.92,70.6693 566.948,70.6037 \n",
       "  566.976,70.5382 567.003,70.4726 567.031,70.4071 567.059,70.3415 567.086,70.2759 567.114,70.2103 567.141,70.1447 567.169,70.0791 567.197,70.0135 567.224,69.9479 \n",
       "  567.252,69.8822 567.28,69.8166 567.307,69.751 567.335,69.6853 567.363,69.6197 567.39,69.554 567.418,69.4883 567.445,69.4226 567.473,69.357 567.501,69.2913 \n",
       "  567.528,69.2256 567.556,69.1599 567.584,69.0941 567.611,69.0284 567.639,68.9627 567.667,68.897 567.694,68.8312 567.722,68.7655 567.749,68.6997 567.777,68.6339 \n",
       "  567.805,68.5682 567.832,68.5024 567.86,68.4366 567.888,68.3708 567.915,68.305 567.943,68.2392 567.971,68.1734 567.998,68.1076 568.026,68.0417 568.053,67.9759 \n",
       "  568.081,67.91 568.109,67.8442 568.136,67.7783 568.164,67.7125 568.192,67.6466 568.219,67.5807 568.247,67.5148 568.275,67.4489 568.302,67.383 568.33,67.3171 \n",
       "  568.357,67.2512 568.385,67.1853 568.413,67.1193 568.44,67.0534 568.468,66.9875 568.496,66.9215 568.523,66.8556 568.551,66.7896 568.579,66.7236 568.606,66.6576 \n",
       "  568.634,66.5916 568.661,66.5256 568.689,66.4596 568.717,66.3936 568.744,66.3276 568.772,66.2616 568.8,66.1956 568.827,66.1295 568.855,66.0635 568.883,65.9974 \n",
       "  568.91,65.9314 568.938,65.8653 568.966,65.7992 568.993,65.7331 569.021,65.667 569.048,65.6009 569.076,65.5348 569.104,65.4687 569.131,65.4026 569.159,65.3365 \n",
       "  569.187,65.2704 569.214,65.2042 569.242,65.1381 569.27,65.0719 569.297,65.0057 569.325,64.9396 569.352,64.8734 569.38,64.8072 569.408,64.741 569.435,64.6748 \n",
       "  569.463,64.6086 569.491,64.5424 569.518,64.4762 569.546,64.41 569.574,64.3437 569.601,64.2775 569.629,64.2112 569.656,64.145 569.684,64.0787 569.712,64.0125 \n",
       "  569.739,63.9462 569.767,63.8799 569.795,63.8136 569.822,63.7473 569.85,63.681 569.878,63.6147 569.905,63.5484 569.933,63.482 569.96,63.4157 569.988,63.3494 \n",
       "  570.016,63.283 570.043,63.2167 570.071,63.1503 570.099,63.0839 570.126,63.0175 570.154,62.9512 570.182,62.8848 570.209,62.8184 570.237,62.752 570.264,62.6855 \n",
       "  570.292,62.6191 570.32,62.5527 570.347,62.4863 570.375,62.4198 570.403,62.3534 570.43,62.2869 570.458,62.2204 570.486,62.154 570.513,62.0875 570.541,62.021 \n",
       "  570.569,61.9545 570.596,61.888 570.624,61.8215 570.651,61.755 570.679,61.6885 570.707,61.6219 570.734,61.5554 570.762,61.4889 570.79,61.4223 570.817,61.3557 \n",
       "  570.845,61.2892 570.873,61.2226 570.9,61.156 570.928,61.0894 570.955,61.0228 570.983,60.9562 571.011,60.8896 571.038,60.823 571.066,60.7564 571.094,60.6898 \n",
       "  571.121,60.6231 571.149,60.5565 571.177,60.4898 571.204,60.4232 571.232,60.3565 571.259,60.2898 571.287,60.2231 571.315,60.1565 571.342,60.0898 571.37,60.0231 \n",
       "  571.398,59.9564 571.425,59.8896 571.453,59.8229 571.481,59.7562 571.508,59.6894 571.536,59.6227 571.563,59.5559 571.591,59.4892 571.619,59.4224 571.646,59.3556 \n",
       "  571.674,59.2889 571.702,59.2221 571.729,59.1553 571.757,59.0885 571.785,59.0217 571.812,58.9548 571.84,58.888 571.867,58.8212 571.895,58.7543 571.923,58.6875 \n",
       "  571.95,58.6206 571.978,58.5538 572.006,58.4869 572.033,58.42 572.061,58.3532 572.089,58.2863 572.116,58.2194 572.144,58.1525 572.171,58.0855 572.199,58.0186 \n",
       "  572.227,57.9517 572.254,57.8848 572.282,57.8178 572.31,57.7509 572.337,57.6839 572.365,57.617 572.393,57.55 572.42,57.483 572.448,57.416 572.476,57.349 \n",
       "  572.503,57.282 572.531,57.215 572.558,57.148 572.586,57.081 572.614,57.014 572.641,56.9469 572.669,56.8799 572.697,56.8129 572.724,56.7458 572.752,56.6787 \n",
       "  572.78,56.6117 572.807,56.5446 572.835,56.4775 572.862,56.4104 572.89,56.3433 572.918,56.2762 572.945,56.2091 572.973,56.142 573.001,56.0748 573.028,56.0077 \n",
       "  573.056,55.9406 573.084,55.8734 573.111,55.8063 573.139,55.7391 573.166,55.6719 573.194,55.6047 573.222,55.5376 573.249,55.4704 573.277,55.4032 573.305,55.336 \n",
       "  573.332,55.2687 573.36,55.2015 573.388,55.1343 573.415,55.067 573.443,54.9998 573.47,54.9326 573.498,54.8653 573.526,54.798 573.553,54.7308 573.581,54.6635 \n",
       "  573.609,54.5962 573.636,54.5289 573.664,54.4616 573.692,54.3943 573.719,54.327 573.747,54.2597 573.774,54.1923 573.802,54.125 573.83,54.0576 573.857,53.9903 \n",
       "  573.885,53.9229 573.913,53.8556 573.94,53.7882 573.968,53.7208 573.996,53.6534 574.023,53.586 574.051,53.5186 574.079,53.4512 574.106,53.3838 574.134,53.3164 \n",
       "  574.161,53.2489 574.189,53.1815 574.217,53.1141 574.244,53.0466 574.272,52.9791 574.3,52.9117 574.327,52.8442 574.355,52.7767 574.383,52.7092 574.41,52.6417 \n",
       "  574.438,52.5742 574.465,52.5067 574.493,52.4392 574.521,52.3717 574.548,52.3041 574.576,52.2366 574.604,52.1691 574.631,52.1015 574.659,52.0339 574.687,51.9664 \n",
       "  574.714,51.8988 574.742,51.8312 574.769,51.7636 574.797,51.696 574.825,51.6284 574.852,51.5608 574.88,51.4932 574.908,51.4256 574.935,51.3579 574.963,51.2903 \n",
       "  574.991,51.2227 575.018,51.155 575.046,51.0873 575.073,51.0197 575.101,50.952 575.129,50.8843 575.156,50.8166 575.184,50.7489 575.212,50.6812 575.239,50.6135 \n",
       "  575.267,50.5458 575.295,50.4781 575.322,50.4103 575.35,50.3426 575.377,50.2748 575.405,50.2071 575.433,50.1393 575.46,50.0715 575.488,50.0038 575.516,49.936 \n",
       "  575.543,49.8682 575.571,49.8004 575.599,49.7326 575.626,49.6648 575.654,49.597 575.681,49.5291 575.709,49.4613 575.737,49.3934 575.764,49.3256 575.792,49.2577 \n",
       "  575.82,49.1899 575.847,49.122 575.875,49.0541 575.903,48.9862 575.93,48.9183 575.958,48.8504 575.986,48.7825 576.013,48.7146 576.041,48.6467 576.068,48.5788 \n",
       "  576.096,48.5108 576.124,48.4429 576.151,48.3749 576.179,48.307 576.207,48.239 576.234,48.1711 576.262,48.1031 576.29,48.0351 576.317,47.9671 576.345,47.8991 \n",
       "  576.372,47.8311 576.4,47.7631 576.428,47.695 576.455,47.627 576.483,47.559 576.511,47.4909 576.538,47.4229 576.566,47.3548 576.594,47.2868 576.621,47.2187 \n",
       "  576.649,47.1506 576.676,47.0825 576.704,47.0144 576.732,46.9463 576.759,46.8782 576.787,46.8101 576.815,46.742 576.842,46.6738 576.87,46.6057 576.898,46.5376 \n",
       "  576.925,46.4694 576.953,46.4012 576.98,46.3331 577.008,46.2649 577.036,46.1967 577.063,46.1285 577.091,46.0603 577.119,45.9921 577.146,45.9239 577.174,45.8557 \n",
       "  577.202,45.7875 577.229,45.7193 577.257,45.651 577.284,45.5828 577.312,45.5145 577.34,45.4463 577.367,45.378 577.395,45.3097 577.423,45.2414 577.45,45.1731 \n",
       "  577.478,45.1048 577.506,45.0365 577.533,44.9682 577.561,44.8999 577.589,44.8316 577.616,44.7633 577.644,44.6949 577.671,44.6266 577.699,44.5582 577.727,44.4899 \n",
       "  577.754,44.4215 577.782,44.3531 577.81,44.2847 577.837,44.2163 577.865,44.1479 577.893,44.0795 577.92,44.0111 577.948,43.9427 577.975,43.8743 578.003,43.8058 \n",
       "  578.031,43.7374 578.058,43.669 578.086,43.6005 578.114,43.532 578.141,43.4636 578.169,43.3951 578.197,43.3266 578.224,43.2581 578.252,43.1896 578.279,43.1211 \n",
       "  578.307,43.0526 578.335,42.9841 578.362,42.9155 578.39,42.847 578.418,42.7785 578.445,42.7099 578.473,42.6414 578.501,42.5728 578.528,42.5042 578.556,42.4357 \n",
       "  578.583,42.3671 578.611,42.2985 578.639,42.2299 578.666,42.1613 578.694,42.0927 578.722,42.024 578.749,41.9554 578.777,41.8868 578.805,41.8181 578.832,41.7495 \n",
       "  578.86,41.6808 578.887,41.6122 578.915,41.5435 578.943,41.4748 578.97,41.4061 578.998,41.3374 579.026,41.2687 579.053,41.2 579.081,41.1313 579.109,41.0626 \n",
       "  579.136,40.9939 579.164,40.9251 579.191,40.8564 579.219,40.7876 579.247,40.7189 579.274,40.6501 579.302,40.5813 579.33,40.5125 579.357,40.4438 579.385,40.375 \n",
       "  579.413,40.3062 579.44,40.2374 579.468,40.1685 579.496,40.0997 579.523,40.0309 579.551,39.962 579.578,39.8932 579.606,39.8244 579.634,39.7555 579.661,39.6866 \n",
       "  579.689,39.6178 579.717,39.5489 579.744,39.48 579.772,39.4111 579.8,39.3422 579.827,39.2733 579.855,39.2044 579.882,39.1354 579.91,39.0665 579.938,38.9976 \n",
       "  579.965,38.9286 579.993,38.8597 580.021,38.7907 580.048,38.7217 580.076,38.6528 580.104,38.5838 580.131,38.5148 580.159,38.4458 580.186,38.3768 580.214,38.3078 \n",
       "  580.242,38.2388 580.269,38.1697 580.297,38.1007 580.325,38.0317 580.352,37.9626 580.38,37.8936 580.408,37.8245 580.435,37.7554 580.463,37.6864 580.49,37.6173 \n",
       "  580.518,37.5482 580.546,37.4791 580.573,37.41 580.601,37.3409 580.629,37.2718 580.656,37.2026 580.684,37.1335 580.712,37.0644 580.739,36.9952 580.767,36.9261 \n",
       "  580.794,36.8569 580.822,36.7877 580.85,36.7185 580.877,36.6494 580.905,36.5802 580.933,36.511 580.96,36.4418 580.988,36.3726 581.016,36.3033 581.043,36.2341 \n",
       "  581.071,36.1649 581.099,36.0956 581.126,36.0264 581.154,35.9571 581.181,35.8879 581.209,35.8186 581.237,35.7493 581.264,35.68 581.292,35.6107 581.32,35.5414 \n",
       "  581.347,35.4721 581.375,35.4028 581.403,35.3335 581.43,35.2642 581.458,35.1948 581.485,35.1255 581.513,35.0561 581.541,34.9868 581.568,34.9174 581.596,34.8481 \n",
       "  581.624,34.7787 581.651,34.7093 581.679,34.6399 581.707,34.5705 581.734,34.5011 581.762,34.4317 581.789,34.3623 581.817,34.2928 581.845,34.2234 581.872,34.1539 \n",
       "  581.9,34.0845 581.928,34.015 581.955,33.9456 581.983,33.8761 582.011,33.8066 582.038,33.7371 582.066,33.6676 582.093,33.5981 582.121,33.5286 582.149,33.4591 \n",
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     "execution_count": 48,
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   "source": [
    "f_ls=f(x_ls)\n",
    "plot(t-> f(x_ls-t*stor),0.0,0.0051, label=\"Gradient Descent\")\n",
    "plot((0:0.0001:2),t->f(x_ls-t*(h_stor\\stor)), label=\"Newton's method\")"
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       "  350.775,221.593 352.849,221.42 352.701,220.918 354.395,220.795 354.278,220.339 355.716,220.248 355.625,219.825 356.871,219.758 356.803,219.359 357.902,219.312 \n",
       "  357.854,218.932 358.838,218.901 358.808,218.535 359.703,218.516 359.688,218.16 360.512,218.152 360.51,217.804 361.277,217.803 361.286,217.463 362.008,217.467 \n",
       "  362.023,217.133 362.71,217.141 362.73,216.814 363.386,216.824 363.408,216.504 364.04,216.515 364.062,216.202 364.671,216.213 364.692,215.907 365.28,215.918 \n",
       "  365.301,215.618 365.869,215.629 365.891,215.335 366.44,215.346 366.462,215.058 366.993,215.068 367.016,214.785 367.53,214.796 367.555,214.518 368.053,214.529 \n",
       "  368.079,214.254 368.562,214.266 368.589,213.995 369.058,214.007 369.087,213.74 369.542,213.752 369.573,213.488 370.015,213.501 370.049,213.239 370.479,213.252 \n",
       "  370.516,212.992 370.934,213.007 370.974,212.748 371.38,212.764 371.424,212.506 371.82,212.523 371.868,212.265 372.254,212.283 372.307,212.024 372.683,212.044 \n",
       "  372.741,211.784 373.109,211.805 373.173,211.543 373.532,211.565 373.604,211.3 373.955,211.324 374.037,211.053 374.381,211.079 374.474,210.801 374.811,210.83 \n",
       "  374.92,210.542 375.251,210.573 375.381,210.269 375.708,210.304 375.868,209.976 376.192,210.016 376.402,209.648 376.728,209.695 377.042,209.239 377.378,209.298 \n",
       "  378.091,208.522 378.469,208.61 382.67,206.443 382.129,206.155 382.392,206.193 382.581,205.865 382.834,205.902 383.149,205.46 383.421,205.509 384.704,204.262 \n",
       "  385.053,204.354 385.264,204.338 385.233,204.233 385.442,204.217 385.412,204.113 385.618,204.098 385.588,203.995 385.792,203.98 385.762,203.877 385.964,203.862 \n",
       "  385.935,203.761 386.134,203.746 386.105,203.646 386.303,203.631 386.274,203.531 386.469,203.517 386.44,203.418 386.634,203.404 386.605,203.305 386.797,203.291 \n",
       "  386.768,203.194 386.958,203.18 386.93,203.083 387.117,203.07 387.089,202.974 387.275,202.96 387.247,202.865 387.431,202.852 387.404,202.757 387.586,202.744 \n",
       "  387.558,202.65 387.739,202.637 387.712,202.544 387.89,202.531 387.863,202.439 388.04,202.426 388.014,202.334 388.188,202.322 388.162,202.231 388.335,202.218 \n",
       "  388.309,202.128 388.481,202.115 388.455,202.026 388.625,202.013 388.6,201.924 388.768,201.912 388.743,201.824 388.909,201.812 388.885,201.724 389.05,201.712 \n",
       "  389.025,201.625 389.188,201.613 389.164,201.526 389.326,201.515 389.302,201.429 389.462,201.418 389.439,201.332 389.598,201.321 389.574,201.236 389.731,201.225 \n",
       "  389.708,201.14 389.864,201.129 389.841,201.045 389.996,201.034 389.973,200.951 390.126,200.94 390.104,200.857 390.256,200.847 390.234,200.764 390.384,200.754 \n",
       "  390.362,200.672 390.511,200.662 390.49,200.58 390.638,200.57 390.616,200.489 390.763,200.479 390.741,200.398 390.887,200.389 390.866,200.308 391.01,200.299 \n",
       "  390.989,200.219 391.132,200.209 391.112,200.13 391.253,200.121 391.233,200.042 391.374,200.033 391.353,199.954 391.493,199.945 391.473,199.867 391.611,199.858 \n",
       "  391.592,199.78 391.729,199.771 391.709,199.694 391.845,199.685 391.826,199.608 391.961,199.6 391.942,199.523 392.076,199.515 392.057,199.438 392.19,199.43 \n",
       "  392.172,199.354 392.303,199.346 392.285,199.27 392.416,199.263 392.398,199.187 392.528,199.179 392.51,199.104 392.638,199.097 392.621,199.022 392.749,199.015 \n",
       "  392.731,198.94 392.858,198.933 392.841,198.859 392.967,198.851 392.95,198.778 393.074,198.771 393.058,198.697 393.182,198.69 393.166,198.617 393.288,198.61 \n",
       "  393.272,198.537 393.394,198.53 393.378,198.458 393.499,198.451 393.484,198.379 393.604,198.372 393.588,198.3 393.707,198.294 393.693,198.222 393.811,198.216 \n",
       "  393.796,198.144 393.913,198.138 393.899,198.067 394.015,198.061 394.001,197.989 394.117,197.984 394.103,197.913 394.217,197.907 394.204,197.836 394.318,197.831 \n",
       "  394.304,197.76 394.417,197.755 394.404,197.684 394.516,197.679 394.504,197.609 394.615,197.604 394.602,197.534 394.713,197.529 394.701,197.459 394.811,197.454 \n",
       "  394.798,197.384 394.908,197.38 394.896,197.31 395.004,197.305 394.993,197.236 395.1,197.232 395.089,197.162 395.196,197.158 395.185,197.089 395.291,197.085 \n",
       "  395.28,197.016 395.386,197.012 395.375,196.943 395.48,196.939 395.47,196.87 395.574,196.866 395.564,196.798 395.667,196.794 395.657,196.725 395.76,196.722 \n",
       "  395.751,196.653 395.853,196.65 395.844,196.582 395.945,196.578 395.936,196.51 396.037,196.507 396.028,196.439 396.128,196.435 396.12,196.367 396.219,196.364 \n",
       "  396.212,196.296 396.31,196.293 396.303,196.225 396.401,196.223 396.394,196.155 396.491,196.152 396.484,196.084 396.581,196.081 396.575,196.013 396.671,196.011 \n",
       "  396.665,195.943 396.76,195.941 396.754,195.873 396.85,195.871 396.844,195.803 396.939,195.801 396.933,195.733 397.027,195.731 397.023,195.663 397.116,195.661 \n",
       "  397.112,195.593 397.204,195.591 397.2,195.523 397.293,195.521 397.289,195.453 397.381,195.452 397.378,195.383 397.469,195.382 397.466,195.313 397.557,195.312 \n",
       "  397.555,195.243 397.645,195.242 397.643,195.173 397.733,195.172 397.731,195.103 397.821,195.103 397.82,195.033 397.908,195.033 397.908,194.963 397.996,194.963 \n",
       "  397.996,194.892 398.084,194.892 398.085,194.822 398.172,194.822 398.174,194.751 398.261,194.751 398.262,194.68 398.349,194.681 398.351,194.609 398.438,194.61 \n",
       "  398.441,194.537 398.527,194.538 398.53,194.466 398.616,194.467 398.62,194.393 398.705,194.395 398.711,194.321 398.796,194.322 398.802,194.247 398.886,194.249 \n",
       "  398.893,194.174 398.977,194.176 398.985,194.099 399.069,194.101 399.078,194.024 399.162,194.026 399.172,193.948 399.255,193.951 399.266,193.871 399.35,193.874 \n",
       "  399.362,193.793 399.446,193.796 399.46,193.714 399.543,193.717 399.559,193.633 399.642,193.637 399.659,193.55 399.743,193.555 399.762,193.466 399.846,193.471 \n",
       "  399.868,193.379 399.952,193.384 399.977,193.289 400.061,193.295 400.089,193.196 400.174,193.202 400.207,193.098 400.293,193.105 400.332,192.994 400.418,193.001 \n",
       "  400.465,192.881 400.554,192.89 400.613,192.755 400.704,192.765 400.783,192.608 400.879,192.62 401.003,192.413 401.109,192.429 401.435,192.011 401.572,192.037 \n",
       "  402.043,191.775 401.94,191.728 402.125,191.651 402.072,191.618 402.245,191.548 402.194,191.516 402.357,191.451 402.308,191.42 402.464,191.359 402.417,191.329 \n",
       "  402.567,191.271 402.522,191.241 402.666,191.187 402.622,191.157 402.761,191.105 402.718,191.076 402.854,191.026 402.812,190.998 402.944,190.949 402.903,190.921 \n",
       "  403.031,190.875 402.991,190.847 403.117,190.802 403.077,190.774 403.201,190.73 403.162,190.703 403.283,190.66 403.244,190.633 403.363,190.591 403.325,190.564 \n",
       "  403.442,190.524 403.405,190.497 403.519,190.458 403.483,190.431 403.595,190.392 403.559,190.366 403.67,190.328 403.635,190.302 403.744,190.265 403.709,190.24 \n",
       "  403.816,190.203 403.782,190.178 403.887,190.142 403.853,190.117 403.957,190.082 403.924,190.057 404.027,190.022 403.993,189.998 404.095,189.964 404.062,189.939 \n",
       "  404.162,189.906 404.13,189.881 404.228,189.849 404.196,189.825 404.294,189.793 404.262,189.768 404.358,189.737 404.327,189.713 404.422,189.682 404.391,189.658 \n",
       "  404.485,189.628 404.454,189.604 404.547,189.574 404.517,189.55 404.609,189.521 404.579,189.497 404.669,189.468 404.64,189.445 404.729,189.416 404.7,189.393 \n",
       "  404.789,189.365 404.76,189.342 404.847,189.314 404.819,189.291 404.905,189.264 404.877,189.241 404.963,189.214 404.935,189.192 405.02,189.165 404.992,189.143 \n",
       "  405.076,189.116 405.048,189.094 405.132,189.068 405.104,189.046 405.187,189.02 405.159,188.998 405.241,188.973 405.214,188.951 405.295,188.926 405.268,188.904 \n",
       "  405.349,188.879 405.322,188.857 405.402,188.833 405.375,188.812 405.454,188.787 405.428,188.766 405.506,188.742 405.48,188.721 405.557,188.697 405.532,188.676 \n",
       "  405.608,188.653 405.583,188.632 405.659,188.609 405.634,188.588 405.709,188.565 405.684,188.544 405.759,188.522 405.734,188.501 405.808,188.479 405.783,188.458 \n",
       "  405.857,188.436 405.832,188.415 405.905,188.393 405.881,188.373 405.953,188.351 405.929,188.331 406.001,188.31 405.977,188.289 406.048,188.268 406.024,188.248 \n",
       "  406.095,188.227 406.071,188.207 406.141,188.187 406.118,188.167 406.187,188.146 406.164,188.126 406.233,188.106 406.21,188.086 406.279,188.066 406.256,188.046 \n",
       "  406.324,188.027 406.301,188.007 406.368,187.987 406.346,187.968 406.413,187.948 406.39,187.929 406.457,187.91 406.434,187.89 406.5,187.871 406.478,187.852 \n",
       "  406.544,187.833 406.522,187.814 406.587,187.795 406.565,187.776 406.629,187.758 406.608,187.739 406.672,187.72 406.65,187.701 406.714,187.683 406.692,187.664 \n",
       "  406.756,187.646 406.734,187.627 406.797,187.61 406.776,187.591 406.838,187.573 406.817,187.554 406.879,187.537 406.858,187.518 406.92,187.501 406.899,187.482 \n",
       "  406.96,187.465 406.94,187.447 407,187.43 406.98,187.411 407.04,187.395 407.02,187.376 407.08,187.36 407.06,187.341 407.119,187.325 407.099,187.307 \n",
       "  407.158,187.29 407.138,187.272 407.197,187.256 407.177,187.238 407.236,187.222 407.216,187.204 407.274,187.188 407.254,187.17 407.312,187.154 407.293,187.136 \n",
       "  407.35,187.12 407.33,187.102 407.387,187.087 407.368,187.069 407.425,187.054 407.406,187.036 407.462,187.021 407.443,187.003 407.499,186.988 407.48,186.97 \n",
       "  407.535,186.955 407.517,186.938 407.572,186.923 407.553,186.905 407.608,186.891 407.59,186.873 407.644,186.859 407.626,186.841 407.68,186.827 407.662,186.809 \n",
       "  407.716,186.795 407.697,186.778 407.751,186.763 407.733,186.746 407.786,186.732 407.768,186.715 407.821,186.701 407.803,186.684 407.856,186.67 407.838,186.653 \n",
       "  407.89,186.639 407.873,186.622 407.925,186.608 407.907,186.592 407.959,186.578 407.941,186.561 407.993,186.547 407.975,186.531 408.027,186.517 408.009,186.501 \n",
       "  408.06,186.487 408.043,186.471 408.094,186.457 408.077,186.441 408.127,186.428 408.11,186.411 408.16,186.398 408.143,186.382 408.193,186.369 408.176,186.352 \n",
       "  408.226,186.339 408.209,186.323 408.258,186.31 408.241,186.294 408.29,186.281 408.274,186.265 408.323,186.252 408.306,186.236 408.355,186.224 408.338,186.208 \n",
       "  408.386,186.195 408.37,186.179 408.418,186.167 408.402,186.151 408.45,186.138 408.433,186.122 408.481,186.11 408.465,186.094 408.512,186.082 408.496,186.066 \n",
       "  408.543,186.054 408.527,186.039 408.574,186.027 408.558,186.011 408.605,185.999 408.589,185.983 408.635,185.971 408.619,185.956 408.666,185.944 408.65,185.929 \n",
       "  408.696,185.917 408.68,185.901 408.726,185.89 408.71,185.874 408.756,185.863 408.74,185.847 408.786,185.836 408.77,185.821 408.815,185.809 408.8,185.794 \n",
       "  408.845,185.783 408.83,185.767 408.874,185.756 408.859,185.741 408.903,185.73 408.888,185.715 408.933,185.704 408.918,185.689 408.961,185.677 408.947,185.662 \n",
       "  408.99,185.651 408.975,185.636 409.019,185.626 409.004,185.611 409.047,185.6 409.033,185.585 409.076,185.574 409.061,185.559 409.104,185.549 409.09,185.534 \n",
       "  409.132,185.523 409.118,185.508 409.16,185.498 409.146,185.483 409.188,185.473 409.174,185.458 409.216,185.448 409.202,185.433 409.243,185.423 409.229,185.408 \n",
       "  409.271,185.398 409.257,185.383 409.298,185.373 409.284,185.358 409.326,185.348 409.311,185.334 409.353,185.324 409.339,185.309 409.38,185.299 409.366,185.285 \n",
       "  409.407,185.275 409.393,185.261 409.433,185.251 409.419,185.236 409.46,185.226 409.446,185.212 409.486,185.202 409.473,185.188 409.513,185.178 409.499,185.164 \n",
       "  409.539,185.155 409.526,185.14 409.565,185.131 409.552,185.117 409.591,185.107 409.578,185.093 409.617,185.084 409.604,185.07 409.643,185.06 409.63,185.046 \n",
       "  409.669,185.037 409.656,185.023 409.695,185.013 409.681,184.999 409.72,184.99 409.707,184.976 409.745,184.967 409.732,184.953 409.771,184.944 409.758,184.93 \n",
       "  409.796,184.921 409.783,184.907 409.821,184.898 409.808,184.885 409.846,184.876 409.833,184.862 409.871,184.853 409.858,184.839 409.896,184.83 409.883,184.817 \n",
       "  409.92,184.808 409.907,184.794 409.945,184.786 409.932,184.772 409.969,184.763 409.957,184.75 409.994,184.741 409.981,184.728 410.018,184.719 410.005,184.705 \n",
       "  410.042,184.697 410.03,184.683 410.066,184.675 410.054,184.661 410.09,184.653 410.078,184.64 410.114,184.631 410.102,184.618 410.138,184.609 410.125,184.596 \n",
       "  410.161,184.588 410.149,184.575 410.185,184.566 410.173,184.553 410.209,184.545 410.196,184.532 410.232,184.523 410.22,184.51 410.255,184.502 410.243,184.489 \n",
       "  410.278,184.481 410.266,184.468 410.302,184.46 410.29,184.447 410.325,184.439 410.313,184.426 410.348,184.418 410.336,184.405 410.37,184.397 410.359,184.384 \n",
       "  410.393,184.376 410.382,184.363 410.416,184.355 410.404,184.342 410.439,184.334 410.427,184.321 410.461,184.314 410.449,184.301 410.484,184.293 410.472,184.28 \n",
       "  410.506,184.273 410.494,184.26 410.528,184.252 410.517,184.239 410.55,184.232 410.539,184.219 410.572,184.212 410.561,184.199 410.594,184.191 410.583,184.179 \n",
       "  410.616,184.171 410.605,184.159 410.638,184.151 410.627,184.139 410.66,184.131 410.649,184.119 410.682,184.111 410.67,184.099 410.703,184.091 410.692,184.079 \n",
       "  410.725,184.072 410.714,184.059 410.746,184.052 410.735,184.04 410.768,184.032 410.757,184.02 410.789,184.013 410.778,184 410.81,183.993 410.799,183.981 \n",
       "  410.831,183.974 410.82,183.961 410.852,183.954 410.842,183.942 410.873,183.935 410.863,183.923 410.894,183.916 410.884,183.904 410.915,183.897 410.904,183.884 \n",
       "  410.936,183.877 410.925,183.865 410.957,183.858 410.946,183.846 410.977,183.839 410.967,183.827 410.998,183.82 410.987,183.808 411.018,183.802 411.008,183.79 \n",
       "  411.039,183.783 411.028,183.771 411.059,183.764 411.049,183.752 411.079,183.745 411.069,183.733 411.099,183.727 411.089,183.715 411.12,183.708 411.109,183.696 \n",
       "  411.14,183.69 411.129,183.678 411.16,183.671 411.149,183.659 411.18,183.653 411.169,183.641 411.199,183.634 411.189,183.623 411.219,183.616 411.209,183.605 \n",
       "  411.239,183.598 411.229,183.586 411.258,183.58 411.248,183.568 411.278,183.562 411.268,183.55 411.298,183.544 411.288,183.532 411.317,183.526 411.307,183.514 \n",
       "  411.336,183.508 411.327,183.496 411.356,183.49 411.346,183.479 411.375,183.472 411.365,183.461 411.394,183.454 411.384,183.443 411.413,183.437 411.404,183.425 \n",
       "  411.432,183.419 411.423,183.408 411.451,183.402 411.442,183.39 411.47,183.384 411.461,183.373 411.489,183.367 411.48,183.355 411.508,183.349 411.498,183.338 \n",
       "  411.527,183.332 411.517,183.32 411.545,183.314 411.536,183.303 411.564,183.297 411.555,183.286 411.583,183.28 411.573,183.269 411.601,183.263 411.592,183.252 \n",
       "  411.62,183.246 411.61,183.235 411.638,183.229 411.629,183.218 411.656,183.212 411.647,183.201 411.675,183.195 411.665,183.184 411.693,183.178 411.684,183.167 \n",
       "  411.711,183.161 411.702,183.15 411.729,183.144 411.72,183.133 411.747,183.127 411.738,183.116 411.765,183.111 411.756,183.1 411.783,183.094 411.774,183.083 \n",
       "  411.801,183.077 411.792,183.067 411.819,183.061 411.81,183.05 411.836,183.044 411.827,183.034 411.854,183.028 411.845,183.017 411.872,183.012 411.863,183.001 \n",
       "  411.889,182.995 411.88,182.984 411.907,182.979 411.898,182.968 411.924,182.963 411.916,182.952 411.942,182.946 411.933,182.936 411.959,182.93 411.95,182.92 \n",
       "  411.977,182.914 411.968,182.903 411.994,182.898 411.985,182.887 412.011,182.882 412.002,182.871 412.028,182.866 412.02,182.855 412.045,182.85 412.037,182.84 \n",
       "  412.062,182.834 412.054,182.824 412.079,182.818 412.071,182.808 412.096,182.803 412.088,182.792 412.113,182.787 412.105,182.776 412.13,182.771 412.122,182.761 \n",
       "  412.147,182.755 412.138,182.745 412.164,182.74 412.155,182.729 412.18,182.724 412.172,182.714 412.197,182.709 412.189,182.698 412.214,182.693 412.205,182.683 \n",
       "  412.23,182.678 412.222,182.668 412.247,182.662 412.238,182.652 412.263,182.647 412.255,182.637 412.28,182.632 412.271,182.622 412.296,182.616 412.288,182.606 \n",
       "  412.312,182.601 412.304,182.591 412.328,182.586 412.32,182.576 412.345,182.571 412.336,182.561 412.361,182.556 412.353,182.546 412.377,182.541 412.369,182.531 \n",
       "  412.393,182.526 412.385,182.516 412.409,182.511 412.401,182.501 412.425,182.496 412.417,182.486 412.441,182.481 412.433,182.471 412.457,182.466 412.449,182.456 \n",
       "  412.473,182.451 \n",
       "  \"/>\n",
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   "source": [
    "@manipulate for xx = slider(-2.:0.5:2., value = -2., label=\"x₁\"), yy = slider(-2.:0.5:2., value = -2., label=\"x₂\"), solver = [\"GradientDescent()\" => GradientDescent, \"Newton()\" => Newton, \"BFGS()\" => BFGS], linesearch = [\"HagerZhang()\" => LineSearches.HagerZhang(), \"MoreThuente()\" => LineSearches.MoreThuente(), \"BackTracking(order=3)\" => LineSearches.BackTracking(order=3), \"BackTracking(order=2)\" => LineSearches.BackTracking(order=2)]\n",
    "    x = [xx, yy]\n",
    "    contour(-2.5:0.01:2.5, -2.5:0.01:4.0, (x,y)->sqrt(f([x, y])), fill=true, color=:deep, legend=false)\n",
    "    res = optimize(f, g!, h!, x, solver(linesearch=linesearch), Optim.Options(store_trace=true, extended_trace=true))\n",
    "    xtracemat = hcat(Optim.x_trace(res)...)\n",
    "    plot!(xtracemat[1, :], xtracemat[2, :], mc = :white, lab=\"\")\n",
    "    scatter!(xtracemat[1, 1:10:end], xtracemat[2, 1:10:end], mc = :white, lab=\"\")\n",
    "    scatter!([1.], [1.], mc=:red, msc=:red, lab=\"\")\n",
    "    scatter!(x[1:1], x[2:2], mc=:yellow, msc=:black, label=\"start\", legend=true)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "collapsed": false,
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: Method definition g(Any, Any, Any) in module Main at In[24]:2 overwritten at In[50]:2.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "g (generic function with 1 method)"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# g(x, y) = dot([x, y]'*diagm([1.0, 1.0]),[x,y])\n",
    "g(x, y, v) = dot([x, y]'*diagm([1.0, v]),[x,y])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {
    "collapsed": false
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   "outputs": [
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    "@manipulate for xx = slider(-2.:.1:2., value = -2., label=\"x2\"), val = slider(1.0:0.5:150.0, label=\"v\", value = 1.0)\n",
    "    _x = [5., xx]\n",
    "    contour(-6.5:0.1:5.5, -3.5:0.1:3.5, (x,y)->g(x,y,val), fill=false, color=:deep, legend=false)\n",
    "    res = optimize(x->g(x[1],x[2],val), _x, GradientDescent(), Optim.Options(store_trace=true, extended_trace=true))\n",
    "    xtracemat = hcat(Optim.x_trace(res)...)\n",
    "    plot!(xtracemat[1, :], xtracemat[2, :], mc = :white)\n",
    "    scatter!(xtracemat[1, :], xtracemat[2, :], mc = :white)\n",
    "   #\n",
    "    scatter!([0.], [0.], mc=:red, msc=:red)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING: Method definition fh(Any, Any, Any) in module Main at In[26]:1 overwritten at In[52]:1.\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "fh (generic function with 1 method)"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fh(x, y, v) = dot([x, y]'*[1.0 v/10;0.0 v],[x,y])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {
    "collapsed": false
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     "execution_count": 53,
     "metadata": {
      "comm_id": "1182f3c3-58d4-44a1-855e-ee67601d0929",
      "reactive": true
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     "output_type": "execute_result"
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   "source": [
    "@manipulate for xx = slider(-2.:.1:2., value = -2., label=\"x2\"), val = slider(10.0:0.5:150.0, value = 1.0, label=\"v\"), solver = [:GradientDescent => GradientDescent(), :Newton => Newton(), :BFGS => BFGS()]\n",
    "    _x = [5., xx]\n",
    "    contour(-6.5:0.1:5.5, -3.5:0.1:3.5, (x,y)->fh(x,y,val), fill=false, color=:deep, legend=false)\n",
    "    res = optimize(x->fh(x[1],x[2],val), _x, solver, Optim.Options(store_trace=true, extended_trace=true))\n",
    "    xtracemat = hcat(Optim.x_trace(res)...)\n",
    "    plot!(xtracemat[1, :], xtracemat[2, :], mc = :white)\n",
    "    scatter!(xtracemat[1, :], xtracemat[2, :], mc = :white)\n",
    "   #\n",
    "    scatter!([0.], [0.], mc=:red, msc=:red)\n",
    "end"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# BFGS and GradientDescent"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
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     "execution_count": 54,
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    "@manipulate for xx = slider(-2.:.1:2., value = -2., label=\"x2\"), val = slider(1.0:0.5:150.0, value = 1.0, label=\"v\")\n",
    "    _x = [5., xx]\n",
    "    contour(-6.5:0.1:5.5, -3.5:0.1:3.5, (x,y)->fh(x,y,val), fill=false, color=:deep, legend=false)\n",
    "    res = optimize(x->fh(x[1],x[2],val), _x, GradientDescent(), Optim.Options(store_trace=true, extended_trace=true))\n",
    "    res2 = optimize(x->fh(x[1],x[2],val), _x, BFGS(), Optim.Options(store_trace=true, extended_trace=true))\n",
    "    xtracemat = hcat(Optim.x_trace(res)...)\n",
    "    plot!(xtracemat[1, :], xtracemat[2, :], mc = :white, label=\"GradientDescent\", legend=true)\n",
    "    scatter!(xtracemat[1, :], xtracemat[2, :], mc = :white, label=\"\")\n",
    "    xtracemat2 = hcat(Optim.x_trace(res2)...)\n",
    "    plot!(xtracemat2[1, :], xtracemat2[2, :], c = :black, mc = :blue, label=\"BFGS\")\n",
    "    scatter!(xtracemat2[1, :], xtracemat2[2, :], mc = :blue, label=\"\")\n",
    "\n",
    "   #\n",
    "    scatter!([0.], [0.], mc=:red, msc=:red)\n",
    "end"
   ]
  }
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