ornstein uhlenbeck plus noise julia.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m    Updating\u001b[22m\u001b[39m registry at `~/.julia/registries/General.toml`\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/programming/Ornstein-Uhlenbeck-AddedNoise/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/programming/Ornstein-Uhlenbeck-AddedNoise/Manifest.toml`\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/programming/Ornstein-Uhlenbeck-AddedNoise/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/programming/Ornstein-Uhlenbeck-AddedNoise/Manifest.toml`\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/programming/Ornstein-Uhlenbeck-AddedNoise/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/programming/Ornstein-Uhlenbeck-AddedNoise/Manifest.toml`\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/programming/Ornstein-Uhlenbeck-AddedNoise/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/programming/Ornstein-Uhlenbeck-AddedNoise/Manifest.toml`\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/programming/Ornstein-Uhlenbeck-AddedNoise/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/programming/Ornstein-Uhlenbeck-AddedNoise/Manifest.toml`\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/programming/Ornstein-Uhlenbeck-AddedNoise/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/programming/Ornstein-Uhlenbeck-AddedNoise/Manifest.toml`\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/programming/Ornstein-Uhlenbeck-AddedNoise/Project.toml`\n",
      "\u001b[32m\u001b[1m  No Changes\u001b[22m\u001b[39m to `~/Documents/programming/Ornstein-Uhlenbeck-AddedNoise/Manifest.toml`\n"
     ]
    }
   ],
   "source": [
    "import Pkg\n",
    "Pkg.add(\"Turing\")\n",
    "Pkg.add(\"DifferentialEquations\")\n",
    "Pkg.add(\"Distributions\")\n",
    "Pkg.add(\"StatsPlots\")\n",
    "Pkg.add(\"Plots\")\n",
    "Pkg.add(\"ReverseDiff\")\n",
    "Pkg.add(\"Memoization\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2138.62,652.772 2140.7,675.079 2142.78,714.178 2144.86,844.013 2146.93,755.776 2149.01,627.28 2151.09,468.917 2153.17,427.156 2155.25,603.243 2157.33,539.886 2159.4,524.775 2161.48,492.404 2163.56,507.582 2165.64,503.952 2167.72,651.433 2169.8,661.751 2171.88,496.237 2173.95,426.325 2176.03,454.29 2178.11,643.859 2180.19,697.67 2182.27,812.563 2184.35,861.982 2186.42,936.138 2188.5,770.635 2190.58,676.892 2192.66,732.591 2194.74,943.062 2196.82,919.396 2198.89,757.676 2200.97,550.192 2203.05,531.285 2205.13,399.934 2207.21,409.997 2209.29,657.483 2211.36,704.262 2213.44,570.453 2215.52,539.647 2217.6,578.406 2219.68,394.335 2221.76,586.413 2223.83,583.465 2225.91,615.763 2227.99,636.212 2230.07,571.595 2232.15,732.804 2234.23,877.858 2236.3,1015.63 2238.38,981.314 2240.46,1097.05 2242.54,967.496 2244.62,1108.93 2246.7,1292.39 2248.77,1282.98 2250.85,1202.76 2252.93,1302.11 2255.01,1115.03 2257.09,1219.91 2259.17,1008.71 2261.25,819.899 2263.32,789.258 2265.4,822.352 2267.48,816.934 2269.56,933.587 2271.64,1017.54 2273.72,964.532 2275.79,1017.13 2277.87,1056.34 2279.95,1025.13 2282.03,975.941 2284.11,1026.42 2286.19,824.083 2288.26,804.552 2290.34,710.544 \"/>\n",
       "<path clip-path=\"url(#clip800)\" d=\"M220.987 1438.47 L493.945 1438.47 L493.945 1334.79 L220.987 1334.79  Z\" fill=\"#ffffff\" fill-rule=\"evenodd\" fill-opacity=\"1\"/>\n",
       "<polyline clip-path=\"url(#clip800)\" style=\"stroke:#000000; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"220.987,1438.47 493.945,1438.47 493.945,1334.79 220.987,1334.79 220.987,1438.47 \"/>\n",
       "<polyline clip-path=\"url(#clip800)\" style=\"stroke:#009af9; stroke-linecap:round; stroke-linejoin:round; stroke-width:4; stroke-opacity:1; fill:none\" points=\"245.49,1386.63 392.509,1386.63 \"/>\n",
       "<path clip-path=\"url(#clip800)\" d=\"M430.854 1406.32 Q429.049 1410.95 427.336 1412.36 Q425.623 1413.78 422.753 1413.78 L419.35 1413.78 L419.35 1410.21 L421.85 1410.21 Q423.609 1410.21 424.581 1409.38 Q425.554 1408.54 426.734 1405.44 L427.498 1403.5 L417.012 1377.99 L421.526 1377.99 L429.628 1398.27 L437.729 1377.99 L442.243 1377.99 L430.854 1406.32 Z\" fill=\"#000000\" fill-rule=\"nonzero\" fill-opacity=\"1\" /><path clip-path=\"url(#clip800)\" d=\"M449.535 1399.98 L457.174 1399.98 L457.174 1373.61 L448.864 1375.28 L448.864 1371.02 L457.127 1369.35 L461.803 1369.35 L461.803 1399.98 L469.442 1399.98 L469.442 1403.91 L449.535 1403.91 L449.535 1399.98 Z\" fill=\"#000000\" fill-rule=\"nonzero\" fill-opacity=\"1\" /></svg>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "using DifferentialEquations\n",
    "using Plots\n",
    "\n",
    "μ = 0.0\n",
    "σ = sqrt(2)\n",
    "Θ = 1.0\n",
    "W = OrnsteinUhlenbeckProcess(Θ,μ,σ,0.0,1.0)\n",
    "prob = NoiseProblem(W,(0.0,100.0))\n",
    "sol = solve(prob;dt=0.1)\n",
    "plot(sol.u)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "using Distributions, Random\n",
    "ou_data = sol.u\n",
    "noise = rand(Normal(0,0.4), length(ou_data))\n",
    "plot(ou_data.+noise)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "oupn (generic function with 3 methods)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "using Turing, ReverseDiff, Memoization\n",
    "Turing.setadbackend(:reversediff)\n",
    "Turing.setrdcache(true)\n",
    "using Distributions\n",
    "using LinearAlgebra\n",
    "\n",
    "# Ornstein-Uhlenbeck process\n",
    "@model ou(rn,T,delta_t) = begin\n",
    "    ampl ~ Uniform(0.0,5.0)\n",
    "    tau ~ Uniform(0.0,5.0)\n",
    "    \n",
    "    b = exp(-delta_t/tau)\n",
    "    \n",
    "    rn[1] ~ Normal(0,sqrt(ampl))\n",
    "    \n",
    "    for i=2:T\n",
    "        rn[i] ~ Normal(rn[i-1]*b,sqrt(ampl*(1-b^2)))\n",
    "    end\n",
    "end\n",
    "\n",
    "# Ornstein-Uhlenbeck process with added Gaussian noise\n",
    "@model oupn(rn,T,delta_t,::Type{R}=Vector{Float64}) where {R} = begin\n",
    "    ampl ~ Uniform(0.0,5.0)\n",
    "    tau ~ Uniform(0.0,5.0)\n",
    "    noise_ampl ~ Uniform(0.0,1)\n",
    "    \n",
    "    b = exp(-delta_t/tau)\n",
    "    r = R(undef, T)\n",
    "    \n",
    "    r[1] ~ Normal(0,sqrt(ampl))\n",
    "    \n",
    "    for i=2:T\n",
    "        r[i] ~ Normal(r[i-1]*b,sqrt(ampl*(1-b^2)))\n",
    "    end\n",
    "    rn ~ MvNormal(r,sqrt(noise_ampl))\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mSampling   0%|                                          |  ETA: N/A\u001b[39m\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: Found initial step size\n",
      "│   ϵ = 0.2\n",
      "└ @ Turing.Inference /Users/hstrey/.julia/packages/Turing/Suzsv/src/inference/hmc.jl:190\n",
      "\u001b[32mSampling   0%|▎                                         |  ETA: 0:00:31\u001b[39m\n",
      "\u001b[32mSampling   1%|▍                                         |  ETA: 0:00:22\u001b[39m"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "\u001b[32mSampling   1%|▋                                         |  ETA: 0:00:17\u001b[39m\n",
      "\u001b[32mSampling   2%|▊                                         |  ETA: 0:00:16\u001b[39m\n",
      "\u001b[32mSampling   2%|█                                         |  ETA: 0:00:14\u001b[39m"
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    {
     "name": "stderr",
     "output_type": "stream",
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      "\n",
      "\u001b[32mSampling   3%|█▏                                        |  ETA: 0:00:13\u001b[39m\n",
      "\u001b[32mSampling   3%|█▍                                        |  ETA: 0:00:12\u001b[39m\n",
      "\u001b[32mSampling   4%|█▋                                        |  ETA: 0:00:12\u001b[39m"
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    {
     "name": "stderr",
     "output_type": "stream",
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      "\n",
      "\u001b[32mSampling   4%|█▊                                        |  ETA: 0:00:11\u001b[39m\n",
      "\u001b[32mSampling   5%|██                                        |  ETA: 0:00:11\u001b[39m\n",
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      "\n",
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      "\u001b[32mSampling   8%|███▍                                      |  ETA: 0:00:11\u001b[39m"
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     "output_type": "stream",
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      "\n",
      "\u001b[32mSampling  98%|█████████████████████████████████████████ |  ETA: 0:00:00\u001b[39m\n",
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    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "\u001b[32mSampling  98%|█████████████████████████████████████████▍|  ETA: 0:00:00\u001b[39m\n",
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     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 10.167489 seconds (997.26 k allocations: 97.755 MiB, 0.23% gc time)\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "\u001b[32mSampling 100%|██████████████████████████████████████████|  ETA: 0:00:00\u001b[39m\n",
      "\u001b[90mSampling 100%|██████████████████████████████████████████| Time: 0:00:10\u001b[39m\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "2-element Vector{ChainDataFrame}:\n",
       " Summary Statistics (2 x 8)\n",
       " Quantiles (2 x 6)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "using StatsPlots\n",
    "using BenchmarkTools\n",
    "@time chnou = sample(ou(ou_data,length(ou_data),0.1), NUTS(0.65), 1000)\n",
    "# Summarise results (currently requires the master branch from MCMCChains)\n",
    "describe(chnou)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32mSampling   0%|                                          |  ETA: N/A\u001b[39m\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "┌ Info: Found initial step size\n",
      "│   ϵ = 0.025\n",
      "└ @ Turing.Inference /Users/hstrey/.julia/packages/Turing/Suzsv/src/inference/hmc.jl:190\n",
      "\u001b[32mSampling   0%|▎                                         |  ETA: 0:02:01\u001b[39m"
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      "\n",
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      "\n",
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    {
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     "output_type": "stream",
     "text": [
      "\n",
      "\u001b[32mSampling  99%|█████████████████████████████████████████▊|  ETA: 0:00:00\u001b[39m"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "\u001b[32mSampling 100%|██████████████████████████████████████████|  ETA: 0:00:00\u001b[39m"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n",
      "\u001b[90mSampling 100%|██████████████████████████████████████████| Time: 0:00:46\u001b[39m\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      " 48.654642 seconds (25.85 M allocations: 13.985 GiB, 1.64% gc time)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "2-element Vector{ChainDataFrame}:\n",
       " Summary Statistics (1005 x 8)\n",
       " Quantiles (1005 x 6)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "using StatsPlots\n",
    "data = ou_data .+ noise\n",
    "@time chnpn = sample(oupn(data,length(data),0.1), NUTS(0.65), 1000)\n",
    "describe(chnpn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
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       "  305.461,475.734 307.09,581.158 308.719,638.364 310.348,607.903 311.977,607.903 313.606,703.402 315.235,703.402 316.864,708.08 318.493,637.993 320.122,618.686 \n",
       "  321.751,691.497 323.38,669.458 325.009,649.667 326.637,753.173 328.266,762.578 329.895,652.344 331.524,617.057 333.153,593.618 334.782,617.318 336.411,605.698 \n",
       "  338.04,608.992 339.669,519.548 341.298,628.886 342.927,569.59 344.556,558.38 346.185,535.244 347.814,640.984 349.443,610.476 351.072,642.127 352.701,658.588 \n",
       "  354.33,622.71 355.959,574.919 357.588,632.787 359.217,658.044 360.845,658.044 362.474,728.988 364.103,728.988 365.732,727.017 367.361,660.858 368.99,664.146 \n",
       "  370.619,645.527 372.248,567.817 373.877,652.714 375.506,681.661 377.135,681.661 378.764,648.834 380.393,594.857 382.022,697.699 383.651,639.93 385.28,640.774 \n",
       "  386.909,635.749 388.538,598.995 390.167,590.696 391.796,583.423 393.424,516.267 395.053,532.491 396.682,423.577 398.311,635.172 399.94,548.903 401.569,583.776 \n",
       "  403.198,525.237 404.827,537.128 406.456,648.61 408.085,606.762 409.714,568.917 411.343,568.917 412.972,621.965 414.601,621.965 416.23,495.297 417.859,495.297 \n",
       "  419.488,536.986 421.117,552.108 422.746,485.868 424.375,512.258 426.004,483.727 427.632,483.727 429.261,592.468 430.89,588.826 432.519,470.28 434.148,531.781 \n",
       "  435.777,594.748 437.406,605.851 439.035,656.678 440.664,622.218 442.293,622.218 443.922,643.359 445.551,647.454 447.18,615.221 448.809,665.189 450.438,684.987 \n",
       "  452.067,655.268 453.696,507.026 455.325,494.625 456.954,436.667 458.583,436.667 460.211,428.532 461.84,434.059 463.469,427.276 465.098,428.102 466.727,363.584 \n",
       "  468.356,296.506 469.985,542.386 471.614,568.643 473.243,577.868 474.872,582.918 476.501,506.004 478.13,506.004 479.759,545.483 481.388,640.755 483.017,584.888 \n",
       "  484.646,511.556 486.275,521.299 487.904,579.651 489.533,599.032 491.162,506.395 492.791,506.395 494.419,489.916 496.048,475.493 497.677,482.053 499.306,478.609 \n",
       "  500.935,643.753 502.564,600.935 504.193,582.431 505.822,582.431 507.451,625.069 509.08,625.069 510.709,686.805 512.338,600.451 513.967,639.332 515.596,436.385 \n",
       "  517.225,415.27 518.854,402.366 520.483,412.331 522.112,417.949 523.741,360.787 525.37,311.854 526.998,343.617 528.627,296.473 530.256,583.743 531.885,583.743 \n",
       "  533.514,583.815 535.143,583.186 536.772,606.919 538.401,608.802 540.03,626.561 541.659,400.461 543.288,461.93 544.917,599.406 546.546,566.248 548.175,590.488 \n",
       "  549.804,590.488 551.433,594.266 553.062,581.352 554.691,694.658 556.32,526.83 557.949,564.393 559.578,521.631 561.206,581.968 562.835,634.393 564.464,614.512 \n",
       "  566.093,582.354 567.722,571.697 569.351,564.05 570.98,484.654 572.609,441.02 574.238,441.012 575.867,446.894 577.496,547.522 579.125,531.62 580.754,581.398 \n",
       "  582.383,596.406 584.012,603.247 585.641,561.439 587.27,664.929 588.899,611.502 590.528,598.469 592.157,615.852 593.786,627.991 595.414,600.319 597.043,556.487 \n",
       "  598.672,608.56 600.301,607.336 601.93,618.75 603.559,677.583 605.188,514.021 606.817,585.33 608.446,556.636 610.075,544.535 611.704,654.162 613.333,622.077 \n",
       "  614.962,584.067 616.591,669.025 618.22,648.036 619.849,626.638 621.478,644.3 623.107,706.591 624.736,648.437 626.365,639.051 627.993,568.417 629.622,696.652 \n",
       "  631.251,571.835 632.88,662.745 634.509,666.669 636.138,581.911 637.767,586.236 639.396,663.205 641.025,604.692 642.654,618.83 644.283,618.83 645.912,659.172 \n",
       "  647.541,583.292 649.17,697.118 650.799,516.659 652.428,532.7 654.057,711.845 655.686,620.289 657.315,600.594 658.944,645.603 660.573,580.655 662.201,560.984 \n",
       "  663.83,620.718 665.459,628.061 667.088,519.72 668.717,426.748 670.346,580.044 671.975,633.923 673.604,545.829 675.233,627.931 676.862,606.562 678.491,675.181 \n",
       "  680.12,624.767 681.749,629.028 683.378,654.108 685.007,654.108 686.636,568.97 688.265,586.895 689.894,619.611 691.523,610.544 693.152,666.676 694.78,632.427 \n",
       "  696.409,620.422 698.038,601.786 699.667,609.703 701.296,641.777 702.925,616.086 704.554,670.841 706.183,622.318 707.812,580.698 709.441,550.151 711.07,536.933 \n",
       "  712.699,570.492 714.328,681.346 715.957,599.767 717.586,632.365 719.215,607.285 720.844,650.528 722.473,694.465 724.102,520.78 725.731,524.394 727.36,576.852 \n",
       "  728.988,666.427 730.617,613.19 732.246,572.407 733.875,670.775 735.504,751.111 737.133,430.129 738.762,438.165 740.391,468.887 742.02,566.277 743.649,644.156 \n",
       "  745.278,644.156 746.907,644.156 748.536,462.523 750.165,445.517 751.794,512.678 753.423,507.711 755.052,617.685 756.681,617.685 758.31,639.22 759.939,615.082 \n",
       "  761.567,586.919 763.196,585.088 764.825,649.693 766.454,554.602 768.083,606.159 769.712,662.63 771.341,599.322 772.97,599.322 774.599,537.308 776.228,537.699 \n",
       "  777.857,558.278 779.486,528.156 781.115,523.486 782.744,532.67 784.373,662.021 786.002,658.453 787.631,678.852 789.26,693.065 790.889,663.806 792.518,677.059 \n",
       "  794.147,677.059 795.775,617.006 797.404,681.795 799.033,681.795 800.662,681.795 802.291,663.434 803.92,720.412 805.549,614.276 807.178,628.204 808.807,633.097 \n",
       "  810.436,690.16 812.065,690.16 813.694,690.16 815.323,690.16 816.952,648.105 818.581,676.689 820.21,700.779 821.839,613.403 823.468,629.174 825.097,664.034 \n",
       "  826.726,681.686 828.355,523.35 829.983,525.212 831.612,586.398 833.241,632.29 834.87,555.201 836.499,550.621 838.128,550.575 839.757,631.154 841.386,657.988 \n",
       "  843.015,607.002 844.644,674.898 846.273,599.374 847.902,599.374 849.531,590.536 851.16,618.793 852.789,618.793 854.418,630.422 856.047,595.619 857.676,646.858 \n",
       "  859.305,588.679 860.934,588.679 862.562,643.524 864.191,636.916 865.82,560.557 867.449,578.96 869.078,517.012 870.707,536.664 872.336,536.664 873.965,654.532 \n",
       "  875.594,637.239 877.223,637.239 878.852,626.526 880.481,609.237 882.11,583.728 883.739,586.807 885.368,731.121 886.997,562.138 888.626,645.58 890.255,628.69 \n",
       "  891.884,605.834 893.513,655.634 895.142,657.964 896.77,747.681 898.399,781.019 900.028,746.942 901.657,740.562 903.286,726.85 904.915,746.626 906.544,749.598 \n",
       "  908.173,640.281 909.802,617.072 911.431,617.072 913.06,652.467 914.689,582.69 916.318,688.529 917.947,688.529 919.576,636.068 921.205,672.217 922.834,672.217 \n",
       "  924.463,581.102 926.092,635.209 927.721,521.173 929.349,569.817 930.978,613.824 932.607,641.263 934.236,640.625 935.865,678.86 937.494,670.547 939.123,638.781 \n",
       "  940.752,657.909 942.381,629.96 944.01,414.904 945.639,522.428 947.268,633.14 948.897,584.954 950.526,610.101 952.155,525.418 953.784,370.325 955.413,408.15 \n",
       "  957.042,406.158 958.671,389.551 960.3,662.657 961.929,693.71 963.557,581.911 965.186,581.911 966.815,548.452 968.444,528.355 970.073,692.375 971.702,568.18 \n",
       "  973.331,505.468 974.96,505.468 976.589,348.51 978.218,308.994 979.847,290.047 981.476,305.306 983.105,346.786 984.734,293.825 986.363,399.062 987.992,399.062 \n",
       "  989.621,437.854 991.25,437.854 992.879,449.559 994.508,510.401 996.136,475.103 997.765,492.334 999.394,461.57 1001.02,382.538 1002.65,382.538 1004.28,443.197 \n",
       "  1005.91,475.399 1007.54,369.402 1009.17,461.316 1010.8,446.85 1012.43,437.013 1014.05,681.066 1015.68,728.937 1017.31,658.048 1018.94,658.048 1020.57,464.924 \n",
       "  1022.2,605.849 1023.83,656.031 1025.46,696.053 1027.09,645.694 1028.72,610.525 1030.34,663.237 1031.97,612.421 1033.6,568.136 1035.23,685.67 1036.86,712.085 \n",
       "  1038.49,696.309 1040.12,613.136 1041.75,427.818 1043.38,407.631 1045.01,473.819 1046.63,549.17 1048.26,532.767 1049.89,503.63 1051.52,521.473 1053.15,679.665 \n",
       "  1054.78,567.816 1056.41,642.712 1058.04,572.737 1059.67,624.42 1061.29,502.162 1062.92,469.435 1064.55,625.858 1066.18,657.69 1067.81,632.01 1069.44,617.277 \n",
       "  1071.07,617.277 1072.7,617.277 1074.33,542.005 1075.96,608.495 1077.58,586.583 1079.21,579.217 1080.84,617.192 1082.47,617.192 1084.1,606.465 1085.73,569.185 \n",
       "  1087.36,756.465 1088.99,783.383 1090.62,773.126 1092.24,819.001 1093.87,771.516 1095.5,746.214 1097.13,584.337 1098.76,646.156 1100.39,688.815 1102.02,530.198 \n",
       "  1103.65,525.61 1105.28,516.265 1106.91,550.911 1108.53,525.089 1110.16,527.399 1111.79,544.357 1113.42,544.357 1115.05,585.004 1116.68,607.544 1118.31,619.234 \n",
       "  1119.94,594.166 1121.57,614.33 1123.19,551.461 1124.82,543.344 1126.45,500.851 1128.08,558.314 1129.71,558.314 1131.34,423.292 1132.97,382.156 1134.6,400.433 \n",
       "  1136.23,401.183 1137.86,684.383 1139.48,598.501 1141.11,527.242 1142.74,573.426 1144.37,675.51 1146,578.267 1147.63,454.473 1149.26,678.579 1150.89,678.579 \n",
       "  1152.52,705.935 1154.14,694.625 1155.77,650.147 1157.4,629.483 1159.03,537.158 1160.66,345.668 1162.29,329.689 1163.92,470.371 1165.55,470.371 1167.18,452.19 \n",
       "  1168.81,587.532 1170.43,656.29 1172.06,589.486 1173.69,606.273 1175.32,619.128 1176.95,551.324 1178.58,644.982 1180.21,565.153 1181.84,657.936 1183.47,624.057 \n",
       "  1185.09,624.139 1186.72,613.081 1188.35,649.618 1189.98,577.869 1191.61,623.61 1193.24,644.468 1194.87,455.099 1196.5,662.179 1198.13,734.414 1199.76,696.906 \n",
       "  1201.38,693.397 1203.01,693.397 1204.64,686.049 1206.27,529.042 1207.9,529.042 1209.53,514.955 1211.16,638.816 1212.79,736.367 1214.42,757.632 1216.04,584.378 \n",
       "  1217.67,590.584 1219.3,608.749 1220.93,649.044 1222.56,657.785 1224.19,657.785 1225.82,641.547 1227.45,709.258 1229.08,614.693 1230.71,632.232 1232.33,466.483 \n",
       "  1233.96,579.171 1235.59,660.513 1237.22,577.921 1238.85,577.921 1240.48,741.811 1242.11,748.308 1243.74,731.814 1245.37,636.973 1247,649.175 1248.62,649.175 \n",
       "  1250.25,568.244 1251.88,557.057 1253.51,542.689 1255.14,575.981 1256.77,594.015 1258.4,534.022 1260.03,633.034 1261.66,587.473 1263.28,603.859 1264.91,654.923 \n",
       "  1266.54,700.56 1268.17,647.582 1269.8,633.178 1271.43,567.266 1273.06,554.84 1274.69,581.014 1276.32,666.457 1277.95,706.791 1279.57,706.791 1281.2,707.544 \n",
       "  1282.83,732.497 1284.46,473.674 1286.09,471.707 1287.72,706.432 1289.35,765.398 1290.98,763.879 1292.61,638.862 1294.23,597.098 1295.86,659.946 1297.49,577.488 \n",
       "  1299.12,463.215 1300.75,408.511 1302.38,564.916 1304.01,533.719 1305.64,557.04 1307.27,655.938 1308.9,664.995 1310.52,664.995 1312.15,582.673 1313.78,689.134 \n",
       "  1315.41,689.134 1317.04,693.057 1318.67,619.383 1320.3,668.461 1321.93,668.461 1323.56,613.033 1325.18,545.847 1326.81,703.366 1328.44,648.834 1330.07,646.464 \n",
       "  1331.7,624.459 1333.33,632.579 1334.96,632.579 1336.59,632.579 1338.22,582.481 1339.85,660.688 1341.47,660.688 1343.1,517.7 1344.73,497.59 1346.36,580.633 \n",
       "  1347.99,659.488 1349.62,720.78 1351.25,626.15 1352.88,450.711 1354.51,737.637 1356.13,748.855 1357.76,609.57 1359.39,595.501 1361.02,604.98 1362.65,611.253 \n",
       "  1364.28,488.52 1365.91,668.218 1367.54,716.497 1369.17,662.458 1370.8,666.748 1372.42,747.113 1374.05,747.113 1375.68,652.733 1377.31,650.512 1378.94,650.512 \n",
       "  1380.57,647.4 1382.2,641.851 1383.83,541.577 1385.46,666.969 1387.08,640.507 1388.71,563.112 1390.34,666.622 1391.97,642.015 1393.6,632.95 1395.23,643.354 \n",
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       "  289.172,1714.17 290.801,1730.01 292.429,1730.01 294.058,1707.92 295.687,1587.26 297.316,1611.75 298.945,1519.37 300.574,1571.28 302.203,1431.29 303.832,1475.94 \n",
       "  305.461,1491.91 307.09,1600.23 308.719,1641.79 310.348,1615.23 311.977,1615.23 313.606,1716.04 315.235,1716.04 316.864,1757.25 318.493,1644.37 320.122,1642.1 \n",
       "  321.751,1720.1 323.38,1750.88 325.009,1663.88 326.637,1786.81 328.266,1784.01 329.895,1658.53 331.524,1653.32 333.153,1683.45 334.782,1667.66 336.411,1627.29 \n",
       "  338.04,1653.6 339.669,1565.27 341.298,1676.22 342.927,1603.65 344.556,1583 346.185,1559.88 347.814,1636.98 349.443,1644.67 351.072,1665.03 352.701,1647.95 \n",
       "  354.33,1679.41 355.959,1598.56 357.588,1638.11 359.217,1688.65 360.845,1688.65 362.474,1716.16 364.103,1716.16 365.732,1760.66 367.361,1648.91 368.99,1641.25 \n",
       "  370.619,1687.63 372.248,1612.64 373.877,1681.71 375.506,1695.78 377.135,1695.78 378.764,1614.64 380.393,1642.69 382.022,1677.83 383.651,1644.01 385.28,1667.32 \n",
       "  386.909,1633.94 388.538,1665.48 390.167,1628.51 391.796,1580.45 393.424,1526.64 395.053,1513.68 396.682,1479.71 398.311,1624.77 399.94,1605.93 401.569,1597.11 \n",
       "  403.198,1566.48 404.827,1540.81 406.456,1658.75 408.085,1655.91 409.714,1591.03 411.343,1591.03 412.972,1638.7 414.601,1638.7 416.23,1496.62 417.859,1496.62 \n",
       "  419.488,1561.94 421.117,1585.21 422.746,1508.65 424.375,1531.29 426.004,1486.38 427.632,1486.38 429.261,1628.97 430.89,1620.14 432.519,1485.15 434.148,1569.77 \n",
       "  435.777,1603.3 437.406,1598.42 439.035,1673.79 440.664,1644.99 442.293,1644.99 443.922,1697.82 445.551,1695.4 447.18,1635.52 448.809,1645.95 450.438,1673.45 \n",
       "  452.067,1713.97 453.696,1461.69 455.325,1460.68 456.954,1506.41 458.583,1506.41 460.211,1473.18 461.84,1453.76 463.469,1452.48 465.098,1463.77 466.727,1360.01 \n",
       "  468.356,1259.14 469.985,1609.85 471.614,1601.43 473.243,1587.1 474.872,1589.32 476.501,1546.09 478.13,1546.09 479.759,1538.5 481.388,1675.82 483.017,1573.71 \n",
       "  484.646,1518.65 486.275,1516.08 487.904,1597.83 489.533,1617.87 491.162,1485.19 492.791,1485.19 494.419,1476.61 496.048,1473.09 497.677,1492.99 499.306,1501.88 \n",
       "  500.935,1725.83 502.564,1567.92 504.193,1581.41 505.822,1581.41 507.451,1655.89 509.08,1655.89 510.709,1707.86 512.338,1647.84 513.967,1635.96 515.596,1474.35 \n",
       "  517.225,1411.27 518.854,1438.92 520.483,1440.27 522.112,1456.53 523.741,1351.77 525.37,1353.67 526.998,1272.14 528.627,1299.75 530.256,1613.1 531.885,1613.1 \n",
       "  533.514,1558.85 535.143,1652.88 536.772,1604.24 538.401,1597.69 540.03,1662.6 541.659,1431.74 543.288,1395.5 544.917,1623.15 546.546,1588.61 548.175,1617.76 \n",
       "  549.804,1617.76 551.433,1616.35 553.062,1616.94 554.691,1689.85 556.32,1538.79 557.949,1589.3 559.578,1549.18 561.206,1603.28 562.835,1660.05 564.464,1618.81 \n",
       "  566.093,1605.41 567.722,1613.94 569.351,1561.86 570.98,1518.81 572.609,1514.72 574.238,1499.9 575.867,1442.84 577.496,1544 579.125,1568.07 580.754,1580.52 \n",
       "  582.383,1642.49 584.012,1659.96 585.641,1684.49 587.27,1601.38 588.899,1699.07 590.528,1623.63 592.157,1628.69 593.786,1678.7 595.414,1610.34 597.043,1640.47 \n",
       "  598.672,1580.93 600.301,1664.81 601.93,1666.95 603.559,1670.07 605.188,1526.17 606.817,1604.97 608.446,1581.66 610.075,1579.86 611.704,1661.84 613.333,1662.24 \n",
       "  614.962,1608.78 616.591,1655.47 618.22,1689.22 619.849,1700.56 621.478,1676.15 623.107,1714.62 624.736,1694.98 626.365,1643.66 627.993,1615.71 629.622,1716.6 \n",
       "  631.251,1582.3 632.88,1680.94 634.509,1693.88 636.138,1619.87 637.767,1591.07 639.396,1663.89 641.025,1656.97 642.654,1616.14 644.283,1616.14 645.912,1676.87 \n",
       "  647.541,1562.25 649.17,1711.83 650.799,1511.78 652.428,1572.73 654.057,1726.07 655.686,1664.13 657.315,1644.32 658.944,1628.48 660.573,1623.76 662.201,1643.46 \n",
       "  663.83,1614.65 665.459,1610.16 667.088,1570.09 668.717,1402.66 670.346,1637.04 671.975,1603.79 673.604,1556.61 675.233,1617.29 676.862,1616.04 678.491,1692.27 \n",
       "  680.12,1628.58 681.749,1685.34 683.378,1659.99 685.007,1659.99 686.636,1587.47 688.265,1573.79 689.894,1646.94 691.523,1628.01 693.152,1682.51 694.78,1666.19 \n",
       "  696.409,1607.44 698.038,1649.22 699.667,1637.09 701.296,1682.12 702.925,1670.32 704.554,1688.96 706.183,1627.46 707.812,1608.86 709.441,1552.99 711.07,1622.41 \n",
       "  712.699,1604.65 714.328,1729.25 715.957,1649.49 717.586,1669.07 719.215,1609.87 720.844,1696.51 722.473,1715.16 724.102,1549.44 725.731,1534.55 727.36,1599.28 \n",
       "  728.988,1668.53 730.617,1656.54 732.246,1624.75 733.875,1675.64 735.504,1775.41 737.133,1447.6 738.762,1453.67 740.391,1486.92 742.02,1585.63 743.649,1663.96 \n",
       "  745.278,1663.96 746.907,1663.96 748.536,1507.02 750.165,1496.66 751.794,1535.78 753.423,1542.62 755.052,1637.3 756.681,1637.3 758.31,1663.15 759.939,1684.37 \n",
       "  761.567,1578.75 763.196,1597.33 764.825,1663.68 766.454,1580.04 768.083,1638.76 769.712,1689.54 771.341,1619.69 772.97,1619.69 774.599,1545.37 776.228,1542.53 \n",
       "  777.857,1527.67 779.486,1550.02 781.115,1549.96 782.744,1504.51 784.373,1693.2 786.002,1716.5 787.631,1690.8 789.26,1706.83 790.889,1714.21 792.518,1685.33 \n",
       "  794.147,1685.33 795.775,1663.91 797.404,1693.39 799.033,1693.39 800.662,1693.39 802.291,1694 803.92,1740.89 805.549,1638.85 807.178,1690.77 808.807,1678.94 \n",
       "  810.436,1710.97 812.065,1710.97 813.694,1710.97 815.323,1710.97 816.952,1634.8 818.581,1702.4 820.21,1721.96 821.839,1603.46 823.468,1651.29 825.097,1705.81 \n",
       "  826.726,1648.53 828.355,1573.62 829.983,1555.17 831.612,1598.87 833.241,1644.28 834.87,1577.33 836.499,1557.37 838.128,1601.77 839.757,1683.8 841.386,1612.84 \n",
       "  843.015,1660.58 844.644,1705.55 846.273,1599.63 847.902,1599.63 849.531,1592.9 851.16,1634.14 852.789,1634.14 854.418,1645.96 856.047,1636.19 857.676,1662.73 \n",
       "  859.305,1596.94 860.934,1596.94 862.562,1685.5 864.191,1689.24 865.82,1604.24 867.449,1602.01 869.078,1579.41 870.707,1560.01 872.336,1560.01 873.965,1660.57 \n",
       "  875.594,1615.32 877.223,1615.32 878.852,1670.51 880.481,1641.2 882.11,1613.88 883.739,1583.28 885.368,1730.65 886.997,1553.82 888.626,1658.47 890.255,1651.44 \n",
       "  891.884,1597.93 893.513,1687.98 895.142,1698.75 896.77,1761.17 898.399,1756.48 900.028,1712.72 901.657,1737.98 903.286,1760.61 904.915,1736.2 906.544,1757.82 \n",
       "  908.173,1680.57 909.802,1626.97 911.431,1626.97 913.06,1667.26 914.689,1596.39 916.318,1712.26 917.947,1712.26 919.576,1639.95 921.205,1692.03 922.834,1692.03 \n",
       "  924.463,1595.99 926.092,1664.74 927.721,1555.07 929.349,1569.17 930.978,1678.22 932.607,1614.82 934.236,1632.52 935.865,1709.54 937.494,1726.28 939.123,1711.35 \n",
       "  940.752,1709.17 942.381,1616.9 944.01,1491.85 945.639,1587.96 947.268,1626.39 948.897,1671.63 950.526,1649.51 952.155,1492.67 953.784,1443.78 955.413,1437.42 \n",
       "  957.042,1410.6 958.671,1417.76 960.3,1700.16 961.929,1704.04 963.557,1625.6 965.186,1625.6 966.815,1532.95 968.444,1502.6 970.073,1658.07 971.702,1629.77 \n",
       "  973.331,1525.25 974.96,1525.25 976.589,1251.18 978.218,1270 979.847,1292.28 981.476,1278.32 983.105,1339.68 984.734,1309.03 986.363,1448.51 987.992,1448.51 \n",
       "  989.621,1425.65 991.25,1425.65 992.879,1494.16 994.508,1500.99 996.136,1517.09 997.765,1486.99 999.394,1454.06 1001.02,1368.5 1002.65,1368.5 1004.28,1488.39 \n",
       "  1005.91,1467.26 1007.54,1411.96 1009.17,1455.09 1010.8,1476.45 1012.43,1507.06 1014.05,1712.91 1015.68,1688.52 1017.31,1676.74 1018.94,1676.74 1020.57,1513.12 \n",
       "  1022.2,1650.48 1023.83,1655.6 1025.46,1704.09 1027.09,1661.34 1028.72,1622.38 1030.34,1671.89 1031.97,1620.96 1033.6,1602.14 1035.23,1736.44 1036.86,1683.3 \n",
       "  1038.49,1670.53 1040.12,1704.76 1041.75,1400.18 1043.38,1420.82 1045.01,1497.15 1046.63,1572.7 1048.26,1567.99 1049.89,1595.44 1051.52,1584.74 1053.15,1668.22 \n",
       "  1054.78,1603.46 1056.41,1654.84 1058.04,1567.06 1059.67,1653.19 1061.29,1503.8 1062.92,1439.2 1064.55,1667.41 1066.18,1645.93 1067.81,1655.27 1069.44,1623.37 \n",
       "  1071.07,1623.37 1072.7,1623.37 1074.33,1542.95 1075.96,1645.97 1077.58,1573.14 1079.21,1627.48 1080.84,1650.88 1082.47,1650.88 1084.1,1615.13 1085.73,1637.33 \n",
       "  1087.36,1799.71 1088.99,1777.98 1090.62,1792.72 1092.24,1801.8 1093.87,1816.35 1095.5,1788.72 1097.13,1609.26 1098.76,1660.57 1100.39,1720.59 1102.02,1554.6 \n",
       "  1103.65,1533.2 1105.28,1525.79 1106.91,1558.56 1108.53,1547.7 1110.16,1522.82 1111.79,1566.46 1113.42,1566.46 1115.05,1602.28 1116.68,1617.61 1118.31,1638.21 \n",
       "  1119.94,1625.38 1121.57,1620.93 1123.19,1567.78 1124.82,1570.45 1126.45,1584.72 1128.08,1619.05 1129.71,1619.05 1131.34,1486.74 1132.97,1447.89 1134.6,1440.67 \n",
       "  1136.23,1403.98 1137.86,1690.47 1139.48,1597.21 1141.11,1592.62 1142.74,1616.67 1144.37,1710.35 1146,1613.01 1147.63,1480.98 1149.26,1680.48 1150.89,1680.48 \n",
       "  1152.52,1686.88 1154.14,1709.56 1155.77,1693.42 1157.4,1613.62 1159.03,1547.91 1160.66,1348.62 1162.29,1369.78 1163.92,1446.06 1165.55,1446.06 1167.18,1460.65 \n",
       "  1168.81,1621.29 1170.43,1658.33 1172.06,1645.9 1173.69,1621.23 1175.32,1611.04 1176.95,1595.29 1178.58,1664.79 1180.21,1615.86 1181.84,1674.13 1183.47,1661.65 \n",
       "  1185.09,1653.87 1186.72,1657.31 1188.35,1684.61 1189.98,1655.76 1191.61,1609.4 1193.24,1642.28 1194.87,1438.44 1196.5,1702.84 1198.13,1765.19 1199.76,1724.58 \n",
       "  1201.38,1724.44 1203.01,1724.44 1204.64,1726.44 1206.27,1578.76 1207.9,1578.76 1209.53,1598.7 1211.16,1668.91 1212.79,1757.84 1214.42,1748.38 1216.04,1637.3 \n",
       "  1217.67,1662.14 1219.3,1639.99 1220.93,1666.85 1222.56,1649.34 1224.19,1649.34 1225.82,1657.52 1227.45,1724.7 1229.08,1640.18 1230.71,1645.97 1232.33,1485.16 \n",
       "  1233.96,1583.57 1235.59,1675.05 1237.22,1633.35 1238.85,1633.35 1240.48,1788.53 1242.11,1787.09 1243.74,1807.65 1245.37,1580.54 1247,1669.12 1248.62,1669.12 \n",
       "  1250.25,1583.18 1251.88,1580.31 1253.51,1539.61 1255.14,1591.84 1256.77,1566.75 1258.4,1511.1 1260.03,1657.04 1261.66,1570.3 1263.28,1629.49 1264.91,1667.98 \n",
       "  1266.54,1710.92 1268.17,1664.52 1269.8,1674.54 1271.43,1577.45 1273.06,1582.29 1274.69,1590.37 1276.32,1664.04 1277.95,1719.21 1279.57,1719.21 1281.2,1730.92 \n",
       "  1282.83,1759.94 1284.46,1524.84 1286.09,1530.89 1287.72,1718.12 1289.35,1801.72 1290.98,1795.79 1292.61,1667.75 1294.23,1591.19 1295.86,1673.21 1297.49,1603.95 \n",
       "  1299.12,1502.86 1300.75,1410.12 1302.38,1563.44 1304.01,1564.8 1305.64,1555.4 1307.27,1681.76 1308.9,1686.8 1310.52,1686.8 1312.15,1605.9 1313.78,1699.03 \n",
       "  1315.41,1699.03 1317.04,1699.99 1318.67,1649.69 1320.3,1699.86 1321.93,1699.86 1323.56,1627.73 1325.18,1545.92 1326.81,1722.75 1328.44,1691.5 1330.07,1659.66 \n",
       "  1331.7,1651.7 1333.33,1640.58 1334.96,1640.58 1336.59,1640.58 1338.22,1627.82 1339.85,1630.66 1341.47,1630.66 1343.1,1537.84 1344.73,1543.92 1346.36,1604.65 \n",
       "  1347.99,1693.76 1349.62,1717.3 1351.25,1647.27 1352.88,1469.57 1354.51,1759.86 1356.13,1786.22 1357.76,1640.55 1359.39,1644.73 1361.02,1603.06 1362.65,1660.99 \n",
       "  1364.28,1542 1365.91,1709.79 1367.54,1718.23 1369.17,1694.67 1370.8,1704.32 1372.42,1738.32 1374.05,1738.32 1375.68,1697.21 1377.31,1649.6 1378.94,1649.6 \n",
       "  1380.57,1662.26 1382.2,1669.89 1383.83,1581.36 1385.46,1631.42 1387.08,1695.49 1388.71,1587.38 1390.34,1696.57 1391.97,1643.29 1393.6,1687.89 1395.23,1670.27 \n",
       "  1396.86,1659.61 1398.49,1588.34 1400.12,1595.97 1401.75,1687.45 1403.37,1621.66 1405,1630.18 1406.63,1573.77 1408.26,1568.65 1409.89,1689.86 1411.52,1586.51 \n",
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       "</svg>\n"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Plot and save results\n",
    "using Plots\n",
    "p = plot(chn)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1.0917570184929886"
     ]
    },
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       "  314.189,1137.96 316.272,1282.29 318.354,1252.37 320.436,916.531 322.519,1286.19 324.601,994.14 326.683,1352.1 328.766,937.158 330.848,1199.86 332.931,1300.42 \n",
       "  335.013,980.214 337.095,1044.24 339.178,1260.41 341.26,1065.02 343.342,1129.24 345.425,1158.02 347.507,1220.76 349.589,1231.87 351.672,1114.92 353.754,1015.8 \n",
       "  355.836,1252.42 357.919,1123.05 360.001,784.755 362.084,770.639 364.166,821.381 366.248,1230.47 368.331,825.793 370.413,1338.55 372.495,1120.15 374.578,1280.57 \n",
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       "  418.307,1222.76 420.39,1105 422.472,1120.03 424.554,1204.26 426.637,1217.41 428.719,1168.57 430.801,1194.21 432.884,1276.36 434.966,1168.91 437.048,986.856 \n",
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       "  459.954,1089.69 462.037,1116.21 464.119,962.165 466.201,1134.03 468.284,1160.72 470.366,914.395 472.449,1284.6 474.531,1143.83 476.613,1225.06 478.696,1264.26 \n",
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       "  522.425,1441.41 524.508,507.267 526.59,1320.63 528.672,1040.07 530.755,1306.04 532.837,1017.03 534.919,1151.46 537.002,1214.25 539.084,1070.17 541.166,1268.5 \n",
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       "  564.072,1158.96 566.155,1263.32 568.237,1101.35 570.319,1209.63 572.402,1207.37 574.484,1135.3 576.566,1099.56 578.649,984.692 580.731,1289.41 582.814,977.644 \n",
       "  584.896,1301.17 586.978,1264.93 589.061,1025.28 591.143,1416.8 593.225,1306.97 595.308,1186.97 597.39,1217.21 599.472,1193.42 601.555,1198.16 603.637,1117.09 \n",
       "  605.72,1247.57 607.802,956.367 609.884,1223.73 611.967,898.644 614.049,833.509 616.131,1026.84 618.214,1165.82 620.296,1193.19 622.378,1130.01 624.461,1120.77 \n",
       "  626.543,1203.26 628.625,1125.55 630.708,1019.35 632.79,1287.14 634.873,1020.42 636.955,1193.9 639.037,1091.43 641.12,1208.56 643.202,1139.07 645.284,1152.9 \n",
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       "  668.19,1173.58 670.273,1116.46 672.355,1222.34 674.437,1152.99 676.52,1068.74 678.602,1344.18 680.684,985.394 682.767,1281.28 684.849,1035.97 686.932,1257.41 \n",
       "  689.014,1045.44 691.096,1141.23 693.179,1201.63 695.261,1166.06 697.343,1065.5 699.426,1053.89 701.508,1267.69 703.59,968.635 705.673,1269 707.755,1034.97 \n",
       "  709.837,1103.18 711.92,1006.24 714.002,1287.01 716.085,927.338 718.167,1338.4 720.249,1008.82 722.332,1081.58 724.414,1238.99 726.496,1260.68 728.579,1119.24 \n",
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       "  751.485,1170.26 753.567,1159.09 755.649,840.713 757.732,1229.89 759.814,1172.89 761.896,1063.72 763.979,1199.7 766.061,1238.62 768.143,1153.69 770.226,1224.31 \n",
       "  772.308,1025.35 774.391,1359.04 776.473,827.175 778.555,1091.65 780.638,1180.35 782.72,1100 784.802,1086.56 786.885,1194.07 788.967,1070.9 791.049,1269.31 \n",
       "  793.132,1192.2 795.214,627.941 797.297,1234.26 799.379,1082.62 801.461,1158.05 803.544,1094.9 805.626,1193.9 807.708,1261.56 809.791,1126.88 811.873,1150.3 \n",
       "  813.955,1164.87 816.038,1131.17 818.12,1214.53 820.202,1093.07 822.285,849.829 824.367,931.391 826.45,1009.55 828.532,1191.76 830.614,1297.03 832.697,1238.46 \n",
       "  834.779,1321.25 836.861,723.84 838.944,1142.25 841.026,1141.86 843.108,1285.42 845.191,784.355 847.273,1288.83 849.355,1094.02 851.438,971.826 853.52,1108.62 \n",
       "  855.603,1235.39 857.685,993.425 859.767,1148.57 861.85,966.206 863.932,1076.97 866.014,974.903 868.097,669.726 870.179,1351.72 872.261,952.121 874.344,1286.31 \n",
       "  876.426,1048.3 878.508,1201.9 880.591,1036.15 882.673,1224.49 884.756,1105.6 886.838,1137.13 888.92,1000.11 891.003,1254.28 893.085,895.349 895.167,856.923 \n",
       "  897.25,835.977 899.332,882.457 901.414,871.572 903.497,1356.55 905.579,1063.9 907.662,1062.04 909.744,1188.47 911.826,1349.73 913.909,760.315 915.991,1074.15 \n",
       "  918.073,1345.92 920.156,1278.98 922.238,1240.09 924.32,1045.01 926.403,1287.56 928.485,1017.62 930.567,1065.24 932.65,1261.16 934.732,1126.44 936.815,1162.68 \n",
       "  938.897,1223.87 940.979,1175.97 943.062,1202.26 945.144,1141.03 947.226,1150.3 949.309,935.68 951.391,1258.47 953.473,1178.89 955.556,1120.12 957.638,1248.83 \n",
       "  959.72,984.044 961.803,944.289 963.885,900.356 965.968,1040.65 968.05,1156.29 970.132,1206.64 972.215,1225.19 974.297,1104.02 976.379,1131.5 978.462,1208.48 \n",
       "  980.544,1161.3 982.626,998.038 984.709,1205.89 986.791,1094.7 988.873,1218.01 990.956,1196 993.038,1187.24 995.121,1123.14 997.203,1204.12 999.285,903.637 \n",
       "  1001.37,1250.9 1003.45,1100.21 1005.53,1137.6 1007.61,1318.92 1009.7,1154.43 1011.78,1203.17 1013.86,1211.18 1015.94,1007.2 1018.03,999.531 1020.11,1264.54 \n",
       "  1022.19,1039.42 1024.27,1163.92 1026.36,1117.7 1028.44,578.242 1030.52,496.448 1032.6,1347.24 1034.69,1063.97 1036.77,1228.04 1038.85,1316.92 1040.93,880.527 \n",
       "  1043.01,1320.62 1045.1,1260.25 1047.18,1048.79 1049.26,1237.25 1051.34,1005.04 1053.43,1351.75 1055.51,904.354 1057.59,1113.05 1059.67,1170.45 1061.76,1089.67 \n",
       "  1063.84,1184.05 1065.92,1213.69 1068,1020.04 1070.09,1257.6 1072.17,969.598 1074.25,1438.54 1076.33,845.011 1078.41,997.464 1080.5,1258.56 1082.58,1178.72 \n",
       "  1084.66,1293.39 1086.74,1096.58 1088.83,1274.55 1090.91,1118.72 1092.99,1256.05 1095.07,1028.02 1097.16,1234.94 1099.24,961.971 1101.32,1041.88 1103.4,926.984 \n",
       "  1105.49,1289.02 1107.57,963.563 1109.65,1098.23 1111.73,1092.31 1113.82,1284.6 1115.9,1209.07 1117.98,1038.17 1120.06,1309.63 1122.14,853.842 1124.23,1023.37 \n",
       "  1126.31,1205.67 1128.39,1197.18 1130.47,993.961 1132.56,1143.1 1134.64,1134.27 1136.72,1025.89 1138.8,1297.31 1140.89,1034.38 1142.97,1264.71 1145.05,1247.56 \n",
       "  1147.13,1204.68 1149.22,990.513 1151.3,663.595 1153.38,1069.56 1155.46,871.326 1157.54,1146.51 1159.63,1274.27 1161.71,1161.05 1163.79,1017.1 1165.87,1268.13 \n",
       "  1167.96,959.477 1170.04,1105.29 1172.12,1182.97 1174.2,1192.55 1176.29,1220.66 1178.37,1299.13 1180.45,930.384 1182.53,1190.95 1184.62,1271.53 1186.7,1053.66 \n",
       "  1188.78,1292.99 1190.86,1135.6 1192.94,1167.18 1195.03,1258.13 1197.11,1404.79 1199.19,790.278 1201.27,1040.45 1203.36,1025.29 1205.44,1361.08 1207.52,985.766 \n",
       "  1209.6,1152.31 1211.69,1351.49 1213.77,967.408 1215.85,870.288 1217.93,1056.46 1220.02,1340.39 1222.1,897.538 1224.18,1294.3 1226.26,1146.93 1228.34,1197.29 \n",
       "  1230.43,1247.22 1232.51,1232.72 1234.59,1102.8 1236.67,1317.47 1238.76,952.184 1240.84,1298.37 1242.92,996.127 1245,1286.95 1247.09,875.516 1249.17,1345.22 \n",
       "  1251.25,946.228 1253.33,1192.5 1255.42,1099.9 1257.5,1103.11 1259.58,1268.46 1261.66,1128.74 1263.74,1195.34 1265.83,1254.96 1267.91,991.929 1269.99,1314.82 \n",
       "  1272.07,875.931 1274.16,1351.6 1276.24,668.119 1278.32,825.201 1280.4,1345.44 1282.49,913.974 1284.57,1285.28 1286.65,1031.37 1288.73,1319.8 1290.82,962.541 \n",
       "  1292.9,1275.31 1294.98,862.769 1297.06,1055.25 1299.14,1081.38 1301.23,1259.58 1303.31,1031.13 1305.39,980.648 1307.47,1275.6 1309.56,936.188 1311.64,1162.32 \n",
       "  1313.72,1162.56 1315.8,1224.99 1317.89,1096.58 1319.97,1288.35 1322.05,1248.84 1324.13,1259.41 1326.22,1261.78 1328.3,1230.34 1330.38,1157.66 1332.46,822.159 \n",
       "  1334.55,1128.28 1336.63,1138.19 1338.71,1215.31 1340.79,1201.07 1342.87,1228.26 1344.96,1208.81 1347.04,1130.02 1349.12,1028.36 1351.2,1085.49 1353.29,1209.05 \n",
       "  1355.37,1093.56 1357.45,966.363 1359.53,1153.51 1361.62,1098.89 1363.7,1129.51 1365.78,1316.33 1367.86,985.821 1369.95,1300.57 1372.03,840.899 1374.11,1014.31 \n",
       "  1376.19,1157.43 1378.27,1198.47 1380.36,1411.4 1382.44,734.678 1384.52,1445.72 1386.6,679.882 1388.69,985.933 1390.77,1134.55 1392.85,1139.19 1394.93,1139.94 \n",
       "  1397.02,1138.44 1399.1,1162.9 1401.18,1208.35 1403.26,1237.12 1405.35,1105.21 1407.43,1251.33 1409.51,1030.1 1411.59,999.938 1413.67,680.297 1415.76,1281.05 \n",
       "  1417.84,1303.08 1419.92,979.016 1422,1217.09 1424.09,1148.92 1426.17,1185.68 1428.25,1136.28 1430.33,1229.8 1432.42,1368.07 1434.5,768.377 1436.58,1126.55 \n",
       "  1438.66,1396.45 1440.75,989.553 1442.83,1248.77 1444.91,695.548 1446.99,918.34 1449.07,1011.83 1451.16,1151.68 1453.24,1159.91 1455.32,973.796 1457.4,1327.75 \n",
       "  1459.49,1016.03 1461.57,1246.43 1463.65,984.582 1465.73,944.515 1467.82,1213.64 1469.9,995.976 1471.98,1242.61 1474.06,1308.58 1476.15,852.266 1478.23,1185.77 \n",
       "  1480.31,1184.25 1482.39,1207.31 1484.47,1167.37 1486.56,1122.6 1488.64,1190.99 1490.72,1090.15 1492.8,1164.86 1494.89,1083.23 1496.97,1275.51 1499.05,1044.38 \n",
       "  1501.13,1135.13 1503.22,1002.07 1505.3,1217.1 1507.38,1194.27 1509.46,1118.03 1511.55,1143.68 1513.63,1157.7 1515.71,1123.02 1517.79,1148.21 1519.87,1149 \n",
       "  1521.96,1097.21 1524.04,1146.49 1526.12,1083.6 1528.2,1026.08 1530.29,1150.48 1532.37,1100.17 1534.45,1208.64 1536.53,1107.79 1538.62,1284.84 1540.7,1233.6 \n",
       "  1542.78,1009.14 1544.86,1300.51 1546.95,907.924 1549.03,949.889 1551.11,1324.73 1553.19,1230.61 1555.28,1153.26 1557.36,1059.54 1559.44,1134.41 1561.52,1241.61 \n",
       "  1563.6,1085.21 1565.69,978.941 1567.77,691.205 1569.85,1290.17 1571.93,1207.18 1574.02,1148.43 1576.1,1186.75 1578.18,1203.31 1580.26,1266.92 1582.35,1077.35 \n",
       "  1584.43,1114.74 1586.51,1218.47 1588.59,1091.76 1590.68,1128.98 1592.76,1059.09 1594.84,988.286 1596.92,1287.92 1599,1035.67 1601.09,1128.08 1603.17,872.07 \n",
       "  1605.25,389.798 1607.33,902.673 1609.42,1260.82 1611.5,1091.34 1613.58,1143.19 1615.66,1214.61 1617.75,1113.7 1619.83,1307.55 1621.91,1103.23 1623.99,1282.79 \n",
       "  1626.08,1210.67 1628.16,1157.86 1630.24,846.572 1632.32,1006.71 1634.4,1236.48 1636.49,966.803 1638.57,1046.23 1640.65,1165.75 1642.73,1028.32 1644.82,1284.38 \n",
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       "  1709.37,891.94 1711.45,1148.04 1713.53,1073.12 1715.62,1278.5 1717.7,1174.7 1719.78,1213.32 1721.86,1271.66 1723.95,1149.31 1726.03,1152.84 1728.11,1143.64 \n",
       "  1730.19,977.305 1732.28,1058.7 1734.36,1190.55 1736.44,1198.66 1738.52,1086.7 1740.6,1322.8 1742.69,1203.11 1744.77,1051.92 1746.85,839.341 1748.93,1297.76 \n",
       "  1751.02,927.499 1753.1,1371.78 1755.18,1284.22 1757.26,1006.5 1759.35,1071.14 1761.43,1277.63 1763.51,1067.32 1765.59,1288.08 1767.68,863.317 1769.76,1174.21 \n",
       "  1771.84,1091.72 1773.92,1349.27 1776.01,860.128 1778.09,1306.48 1780.17,1231.56 1782.25,1409.07 1784.33,752.358 1786.42,1218.8 1788.5,1083.73 1790.58,987.953 \n",
       "  1792.66,1271.73 1794.75,1113.59 1796.83,1152.43 1798.91,1059.36 1800.99,1187.67 1803.08,1009.49 1805.16,1273.89 1807.24,1180.52 1809.32,1153.47 1811.41,909.139 \n",
       "  1813.49,837.846 1815.57,1226.6 1817.65,1232 1819.73,1123.7 1821.82,1124.67 1823.9,1108.71 1825.98,1119.36 1828.06,1342.97 1830.15,947.401 1832.23,1117.83 \n",
       "  1834.31,1133.9 1836.39,1074.99 1838.48,1217.55 1840.56,1071.42 1842.64,983.97 1844.72,1358.64 1846.81,771.384 1848.89,1234.92 1850.97,1247.15 1853.05,782.661 \n",
       "  1855.13,1120.8 1857.22,1207.92 1859.3,1234.39 1861.38,816.735 1863.46,1180.44 1865.55,1203.05 1867.63,1014.31 1869.71,1257.08 1871.79,794.542 1873.88,1317.12 \n",
       "  1875.96,711.871 1878.04,862.062 1880.12,1167.68 1882.21,1209.77 1884.29,1075.12 1886.37,1293.78 1888.45,1099.23 1890.53,1293.09 1892.62,1307.4 1894.7,1128.54 \n",
       "  1896.78,1259.77 1898.86,1040.47 1900.95,1339.41 1903.03,785.333 1905.11,876.18 1907.19,1174.99 1909.28,1222.44 1911.36,1258.88 1913.44,1105.16 1915.52,1312.17 \n",
       "  1917.61,1307.25 1919.69,1036.4 1921.77,1244.08 1923.85,1095.54 1925.93,1268.54 1928.02,1062.46 1930.1,1137.48 1932.18,1224.71 1934.26,1013.51 1936.35,1211.36 \n",
       "  1938.43,914.726 1940.51,1252.76 1942.59,1033.91 1944.68,1105.36 1946.76,1202.03 1948.84,1195.65 1950.92,1184.85 1953.01,1150.6 1955.09,1238.61 1957.17,1172.68 \n",
       "  1959.25,1043.11 1961.33,1089.06 1963.42,1076.07 1965.5,1164.43 1967.58,1086.25 1969.66,1226.32 1971.75,1273.75 1973.83,1092.88 1975.91,1251.75 1977.99,1242.07 \n",
       "  1980.08,1161.71 1982.16,1173.01 1984.24,1280.54 1986.32,1056.38 1988.41,1282.41 1990.49,1141.31 1992.57,1222.6 1994.65,1073.33 1996.74,948.392 1998.82,1207.51 \n",
       "  2000.9,1091.16 2002.98,1259.32 2005.06,1179.76 2007.15,1168.05 2009.23,1147.8 2011.31,1094.63 2013.39,1266.93 2015.48,951.949 2017.56,1244.63 2019.64,1326.94 \n",
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       "  2271.61,1236.33 2273.69,1094.32 2275.77,1045.02 2277.85,1299.84 2279.94,1088.54 2282.02,1338.82 2284.1,1024.42 2286.18,1332.43 2288.27,1084.54 2290.35,1243.81 \n",
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      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ampl_data = chnpn[:ampl].value.data\n",
    "print(mean(ampl_data[:,1,1]))\n",
    "plot(ampl_data[:,1,1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "1002-element Array{Float64,1}:\n",
       "  1.1729601975058386\n",
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       "  0.0502522888583229\n",
       "  0.317246296078771\n",
       "  ⋮\n",
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       " -1.4805345848402143\n",
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     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "r_data = chnpn[:r].value.data\n",
    "r_mean=mean(r_data,dims=1)[1,:,1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
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       "  608.615,349.312 610.713,338.929 612.812,462.988 614.911,561.285 617.01,645.75 619.109,723.865 621.207,803.477 623.306,864.04 625.405,772.903 627.504,661.261 \n",
       "  629.602,631.992 631.701,709.637 633.8,685.318 635.899,633.563 637.997,682.435 640.096,695.57 642.195,728.71 644.294,740.726 646.393,895.491 648.491,955.364 \n",
       "  650.59,946.38 652.689,1045.45 654.788,1103.94 656.886,1012.91 658.985,913.257 661.084,773.545 663.183,738.953 665.281,569.343 667.38,523.743 669.479,387.572 \n",
       "  671.578,345.752 673.677,256.196 675.775,270.004 677.874,374.253 679.973,383.327 682.072,427.321 684.17,444.416 686.269,493.23 688.368,487.662 690.467,601.44 \n",
       "  692.566,623.837 694.664,574.759 696.763,622.4 698.862,736.392 700.961,741.495 703.059,713.61 705.158,664.93 707.257,668.52 709.356,625.918 711.454,780.908 \n",
       "  713.553,799.951 715.652,828.157 717.751,846.791 719.85,789.614 721.948,868.723 724.047,733.691 726.146,674.681 728.245,663.311 730.343,560.921 732.442,702.884 \n",
       "  734.541,878.038 736.64,860.709 738.738,852.734 740.837,795.911 742.936,870.521 745.035,802.268 747.134,656.808 749.232,696.877 751.331,552.041 753.43,549.127 \n",
       "  755.529,493.905 757.627,486.546 759.726,584.123 761.825,700.962 763.924,665.586 766.022,712.185 768.121,787.028 770.22,876.431 772.319,840.068 774.418,762.577 \n",
       "  776.516,676.52 778.615,669.476 780.714,853.928 782.813,902.218 784.911,948.611 787.01,1064.52 789.109,1052.4 791.208,1036.48 793.306,975.74 795.405,1048.84 \n",
       "  797.504,1010.91 799.603,909.097 801.702,855.018 803.8,859.087 805.899,737.457 807.998,780.455 810.097,832.113 812.195,778.8 814.294,926.863 816.393,906.662 \n",
       "  818.492,878.674 820.59,897.435 822.689,894.853 824.788,885.31 826.887,848.06 828.986,884.532 831.084,829.963 833.183,690.134 835.282,762.901 837.381,817.899 \n",
       "  839.479,857.47 841.578,802.77 843.677,818.245 845.776,652.106 847.875,616.063 849.973,609.728 852.072,701.299 854.171,607.329 856.27,583.562 858.368,437.462 \n",
       "  860.467,403.821 862.566,444.388 864.665,550.508 866.763,641.075 868.862,747.368 870.961,733.443 873.06,753.991 875.159,836.506 877.257,962.854 879.356,999.264 \n",
       "  881.455,1063.37 883.554,1050.5 885.652,1006.4 887.751,982.806 889.85,933.063 891.949,935.087 894.047,889.923 896.146,925.886 898.245,988.429 900.344,1096.31 \n",
       "  902.443,959.901 904.541,855.11 906.64,699.519 908.739,738.332 910.838,654.54 912.936,727.792 915.035,758.778 917.134,819.026 919.233,727.752 921.331,742.739 \n",
       "  923.43,830.146 925.529,731.997 927.628,811.847 929.727,896.56 931.825,953.074 933.924,917.218 936.023,847.162 938.122,917.102 940.22,995.07 942.319,1023.11 \n",
       "  944.418,889.591 946.517,806.749 948.615,655.64 950.714,624.463 952.813,633.168 954.912,634.083 957.011,651.782 959.109,545.205 961.208,560.611 963.307,690.173 \n",
       "  965.406,786.998 967.504,870.857 969.603,897.662 971.702,808.578 973.801,690.748 975.9,630.721 977.998,570.118 980.097,517.803 982.196,410.889 984.295,401.118 \n",
       "  986.393,524.08 988.492,451.244 990.591,447.339 992.69,479.534 994.788,620.956 996.887,734.801 998.986,771.042 1001.08,925.407 1003.18,1088.38 1005.28,999.091 \n",
       "  1007.38,855.491 1009.48,824.515 1011.58,774.435 1013.68,630.175 1015.78,574.792 1017.87,609.116 1019.97,648.153 1022.07,749.113 1024.17,800.94 1026.27,730.706 \n",
       "  1028.37,626.464 1030.47,671.188 1032.57,579.616 1034.67,538.5 1036.76,434.97 1038.86,603.46 1040.96,549.125 1043.06,485.134 1045.16,470.208 1047.26,498.402 \n",
       "  1049.36,594.615 1051.46,612.385 1053.55,698.547 1055.65,737.479 1057.75,801.786 1059.85,864.423 1061.95,861.578 1064.05,1029.7 1066.15,1085.14 1068.25,1152.91 \n",
       "  1070.34,1273.06 1072.44,1391.99 1074.54,1358.61 1076.64,1294.66 1078.74,1124.9 1080.84,975.285 1082.94,1077.07 1085.04,1125.6 1087.13,1036.39 1089.23,990.086 \n",
       "  1091.33,849.196 1093.43,716.482 1095.53,669.587 1097.63,679.357 1099.73,851.825 1101.83,892.578 1103.92,857.233 1106.02,911.418 1108.12,841.488 1110.22,757.524 \n",
       "  1112.32,785.39 1114.42,846.696 1116.52,871.578 1118.62,823.784 1120.71,857.313 1122.81,731.564 1124.91,624.099 1127.01,624.482 1129.11,584.989 1131.21,589.062 \n",
       "  1133.31,483.357 1135.41,523.386 1137.5,577.102 1139.6,566.999 1141.7,685.587 1143.8,648.622 1145.9,595.704 1148,655.6 1150.1,676.293 1152.2,654.557 \n",
       "  1154.3,676.803 1156.39,682.627 1158.49,786.138 1160.59,903.518 1162.69,921.246 1164.79,926.004 1166.89,835.018 1168.99,778.573 1171.09,831.13 1173.18,785.707 \n",
       "  1175.28,690.25 1177.38,583.11 1179.48,597.855 1181.58,686.627 1183.68,748.115 1185.78,785.35 1187.88,890.854 1189.97,834.357 1192.07,917.73 1194.17,926.549 \n",
       "  1196.27,908.2 1198.37,849.755 1200.47,810.823 1202.57,828.241 1204.67,948.039 1206.76,961.825 1208.86,1000.08 1210.96,1102.19 1213.06,1262.85 1215.16,1221.29 \n",
       "  1217.26,1293.83 1219.36,1273.82 1221.46,1047.44 1223.55,914.152 1225.65,907.552 1227.75,990.763 1229.85,917.102 1231.95,908.754 1234.05,883.862 1236.15,970.849 \n",
       "  1238.25,903.563 1240.34,981.408 1242.44,874.073 1244.54,780.369 1246.64,700.923 1248.74,629.727 1250.84,645.185 1252.94,534.728 1255.04,410.412 1257.13,358.166 \n",
       "  1259.23,393.045 1261.33,557.375 1263.43,589.904 1265.53,708.155 1267.63,802.765 1269.73,758.172 1271.83,725.368 1273.92,760.31 1276.02,809.755 1278.12,822.558 \n",
       "  1280.22,719.735 1282.32,746.124 1284.42,734.289 1286.52,786.141 1288.62,689.697 1290.72,653.766 1292.81,550.923 1294.91,464.615 1297.01,480.745 1299.11,595.069 \n",
       "  1301.21,651.958 1303.31,720.329 1305.41,624.753 1307.51,525.435 1309.6,555.462 1311.7,494.815 1313.8,429.933 1315.9,563.726 1318,503.729 1320.1,488.598 \n",
       "  1322.2,397.195 1324.3,417.884 1326.39,393.576 1328.49,344.966 1330.59,445.53 1332.69,488.788 1334.79,664.625 1336.89,710.336 1338.99,715.313 1341.09,502.215 \n",
       "  1343.18,480.978 1345.28,485.184 1347.38,388.537 1349.48,456.691 1351.58,545.201 1353.68,703.289 1355.78,766.381 1357.88,751.193 1359.97,796.88 1362.07,682.351 \n",
       "  1364.17,620.406 1366.27,787.639 1368.37,628.394 1370.47,618.257 1372.57,489.099 1374.67,491.124 1376.76,577.626 1378.86,788.279 1380.96,825.738 1383.06,838.276 \n",
       "  1385.16,963.802 1387.26,962.196 1389.36,871.817 1391.46,858.776 1393.55,942.3 1395.65,922.891 1397.75,935.032 1399.85,869.815 1401.95,940.316 1404.05,928.645 \n",
       "  1406.15,848.675 1408.25,768.755 1410.35,647.854 1412.44,580.322 1414.54,635.293 1416.64,665.904 1418.74,659.572 1420.84,690.868 1422.94,565.581 1425.04,505.428 \n",
       "  1427.14,585.744 1429.23,696.846 1431.33,769.211 1433.43,849.149 1435.53,811.212 1437.63,589.985 1439.73,503.395 1441.83,460.996 1443.93,605.132 1446.02,697.615 \n",
       "  1448.12,818.767 1450.22,911.541 1452.32,873.463 1454.42,910.659 1456.52,885.491 1458.62,860.79 1460.72,961.062 1462.81,1023.08 1464.91,1150.49 1467.01,1100.97 \n",
       "  1469.11,993.646 1471.21,1032.84 1473.31,998.738 1475.41,862.905 1477.51,898.694 1479.6,896.681 1481.7,863.532 1483.8,973.851 1485.9,1004.34 1488,1116.54 \n",
       "  1490.1,1116.83 1492.2,1138.25 1494.3,1191.75 1496.39,1309.93 1498.49,1342.18 1500.59,1440.57 1502.69,1409.37 1504.79,1367.05 1506.89,1378.69 1508.99,1300.95 \n",
       "  1511.09,1134.53 1513.18,1104.89 1515.28,1000.37 1517.38,946.981 1519.48,887.432 1521.58,827.897 1523.68,861.911 1525.78,840.178 1527.88,944.071 1529.97,1025.82 \n",
       "  1532.07,980.029 1534.17,842.391 1536.27,928.33 1538.37,853.495 1540.47,826.4 1542.57,958.641 1544.67,1001.22 1546.77,1005.78 1548.86,1091.65 1550.96,1122.33 \n",
       "  1553.06,1175.99 1555.16,1041.75 1557.26,982.787 1559.36,1019.28 1561.46,931.147 1563.56,833.583 1565.65,890.279 1567.75,990.975 1569.85,901.834 1571.95,784.982 \n",
       "  1574.05,881.214 1576.15,893.784 1578.25,892.58 1580.35,797.665 1582.44,795.398 1584.54,643.555 1586.64,489.889 1588.74,463.987 1590.84,546.684 1592.94,526.287 \n",
       "  1595.04,635.867 1597.14,574.126 1599.23,694.216 1601.33,758.393 1603.43,886.292 1605.53,937.996 1607.63,1047.95 1609.73,1275.34 1611.83,1252.31 1613.93,1189.36 \n",
       "  1616.02,1142.14 1618.12,1188.99 1620.22,1122.69 1622.32,1099.06 1624.42,1124.76 1626.52,1181.64 1628.62,1053.49 1630.72,997.83 1632.81,951.259 1634.91,929.335 \n",
       "  1637.01,862.101 1639.11,960.764 1641.21,834.447 1643.31,762.675 1645.41,602.981 1647.51,583.107 1649.6,537.042 1651.7,615.884 1653.8,531.914 1655.9,411.675 \n",
       "  1658,367.554 1660.1,202.097 1662.2,150.576 1664.3,302.933 1666.39,440.332 1668.49,568.59 1670.59,582.133 1672.69,648.25 1674.79,627.369 1676.89,748.294 \n",
       "  1678.99,839.918 1681.09,863.388 1683.19,918.053 1685.28,982.855 1687.38,1032.66 1689.48,1003.96 1691.58,1002.64 1693.68,1042.25 1695.78,958.167 1697.88,933.214 \n",
       "  1699.98,939.735 1702.07,876.579 1704.17,865.346 1706.27,894.12 1708.37,884.587 1710.47,888.331 1712.57,848.394 1714.67,848.662 1716.77,920.366 1718.86,968.633 \n",
       "  1720.96,1018.18 1723.06,985.846 1725.16,1002.19 1727.26,1131.69 1729.36,1104.88 1731.46,1199.62 1733.56,1224.26 1735.65,1183.82 1737.75,1130.92 1739.85,1122.7 \n",
       "  1741.95,1156.43 1744.05,1092.72 1746.15,1124.77 1748.25,1148.25 1750.35,1138.49 1752.44,1126.05 1754.54,1021.02 1756.64,1042.58 1758.74,981.014 1760.84,880.719 \n",
       "  1762.94,812.162 1765.04,876.641 1767.14,924.955 1769.23,1077.38 1771.33,1128.58 1773.43,1005.58 1775.53,969.492 1777.63,943.706 1779.73,819.866 1781.83,828.479 \n",
       "  1783.93,912.505 1786.02,861.417 1788.12,747.206 1790.22,608.494 1792.32,605.291 1794.42,670.271 1796.52,824.85 1798.62,815.994 1800.72,723.28 1802.82,625.288 \n",
       "  1804.91,544.954 1807.01,542.129 1809.11,381.149 1811.21,222.696 1813.31,278.969 1815.41,221.731 1817.51,187.959 1819.61,194.6 1821.7,238.469 1823.8,245.021 \n",
       "  1825.9,288.394 1828,303.129 1830.1,322.559 1832.2,417.686 1834.3,556.371 1836.4,723.589 1838.49,761.618 1840.59,694.997 1842.69,674.938 1844.79,701.264 \n",
       "  1846.89,649.642 1848.99,623.292 1851.09,558.728 1853.19,567.881 1855.28,614.028 1857.38,586.216 1859.48,579.488 1861.58,662.895 1863.68,634.738 1865.78,617.7 \n",
       "  1867.88,629.713 1869.98,542.447 1872.07,552.427 1874.17,591.496 1876.27,579.585 1878.37,497.509 1880.47,428.24 1882.57,430.331 1884.67,410.379 1886.77,368.233 \n",
       "  1888.86,381.695 1890.96,349.174 1893.06,236.67 1895.16,188.438 1897.26,344.849 1899.36,391.711 1901.46,378.025 1903.56,455.214 1905.65,506.82 1907.75,467.778 \n",
       "  1909.85,482.099 1911.95,404.279 1914.05,444.785 1916.15,524.652 1918.25,559.418 1920.35,671.46 1922.44,739.08 1924.54,912.37 1926.64,948.337 1928.74,942.944 \n",
       "  1930.84,859.098 1932.94,987.873 1935.04,986.879 1937.14,1058.58 1939.24,1162.73 1941.33,1333.91 1943.43,1237.81 1945.53,1281.02 1947.63,1238.2 1949.73,1216.53 \n",
       "  1951.83,1271.71 1953.93,1160.14 1956.03,1091.21 1958.12,938.137 1960.22,844.168 1962.32,893.994 1964.42,909.374 1966.52,849.299 1968.62,828.197 1970.72,664.158 \n",
       "  1972.82,593.227 1974.91,743.376 1977.01,846.167 1979.11,952.142 1981.21,925.727 1983.31,748.066 1985.41,845.925 1987.51,932.257 1989.61,947.103 1991.7,879.885 \n",
       "  1993.8,834.361 1995.9,768.487 1998,795.598 2000.1,919.846 2002.2,796.3 2004.3,808.341 2006.4,732.14 2008.49,630.484 2010.59,603.912 2012.69,545.437 \n",
       "  2014.79,557.953 2016.89,533.42 2018.99,429.806 2021.09,216.681 2023.19,87.9763 2025.28,175.067 2027.38,215.801 2029.48,205.434 2031.58,203.132 2033.68,284.003 \n",
       "  2035.78,448.215 2037.88,568.239 2039.98,596.014 2042.07,623.02 2044.17,802.237 2046.27,917.554 2048.37,919.171 2050.47,986.724 2052.57,1074.15 2054.67,987.244 \n",
       "  2056.77,996.85 2058.87,947.466 2060.96,863.544 2063.06,756.153 2065.16,786.872 2067.26,706.078 2069.36,583.629 2071.46,519.651 2073.56,509.478 2075.66,628.561 \n",
       "  2077.75,832.606 2079.85,925.913 2081.95,998.747 2084.05,1031.34 2086.15,899.201 2088.25,752.383 2090.35,704.65 2092.45,687.221 2094.54,714.514 2096.64,758.796 \n",
       "  2098.74,633.503 2100.84,638.633 2102.94,698.818 2105.04,595.916 2107.14,577.957 2109.24,551.746 2111.33,453.219 2113.43,501.498 2115.53,500.66 2117.63,619.698 \n",
       "  2119.73,659.211 2121.83,750.39 2123.93,788.421 2126.03,652.212 2128.12,652.643 2130.22,565.521 2132.32,451.589 2134.42,401.323 2136.52,413.194 2138.62,385.09 \n",
       "  2140.72,427.674 2142.82,440.069 2144.91,428.616 2147.01,460.36 2149.11,551.282 2151.21,431.286 2153.31,417.679 2155.41,454.515 2157.51,481.709 2159.61,516.233 \n",
       "  2161.7,580.682 2163.8,522.985 2165.9,508.782 2168,404.068 2170.1,424.255 2172.2,448.145 2174.3,493.621 2176.4,478.002 2178.49,448.166 2180.59,599.024 \n",
       "  2182.69,571.135 2184.79,657.068 2186.89,799.993 2188.99,817.524 2191.09,817.035 2193.19,724.723 2195.29,843.637 2197.38,952.255 2199.48,910.494 2201.58,887.002 \n",
       "  2203.68,969.201 2205.78,1056.19 2207.88,1115.51 2209.98,1011.28 2212.08,949.235 2214.17,946.186 2216.27,788.053 2218.37,673.01 2220.47,467.811 2222.57,395.865 \n",
       "  2224.67,558.677 2226.77,594.234 2228.87,574.899 2230.96,609.311 2233.06,654.482 2235.16,729.676 2237.26,735.193 2239.36,743.927 2241.46,651.768 2243.56,660.901 \n",
       "  2245.66,693.375 2247.75,728.129 2249.85,758.162 2251.95,762.919 2254.05,825.612 2256.15,749.012 2258.25,786.297 2260.35,805.592 2262.45,862.876 2264.54,893.85 \n",
       "  2266.64,1017.03 2268.74,1059.86 2270.84,1278.9 2272.94,1279.41 2275.04,1222.5 2277.14,1014.13 2279.24,1076.51 2281.33,1123.03 2283.43,1104.45 2285.53,1075.9 \n",
       "  2287.63,1118.09 2289.73,1105.2 \n",
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       "  209.848,664.097 211.947,631.671 214.046,540.386 216.145,480.598 218.243,546.578 220.342,350.941 222.441,694.61 224.54,647.287 226.638,481.816 228.737,814.007 \n",
       "  230.836,700.781 232.935,716.53 235.034,787.335 237.132,647.37 239.231,752.065 241.33,804.71 243.429,971.003 245.527,875.254 247.626,901.712 249.725,838.076 \n",
       "  251.824,751.854 253.922,792.913 256.021,774.478 258.12,728.606 260.219,803.399 262.318,788.603 264.416,989.465 266.515,764.371 268.614,812.979 270.713,822.787 \n",
       "  272.811,799.677 274.91,815.7 277.009,850.901 279.108,785.788 281.206,667.229 283.305,585.694 285.404,632.944 287.503,668.934 289.602,675.709 291.7,627.282 \n",
       "  293.799,624.022 295.898,650.845 297.997,498.55 300.095,563.888 302.194,454.432 304.293,364.894 306.392,230.695 308.491,305.889 310.589,513.278 312.688,512.627 \n",
       "  314.787,667.683 316.886,673.662 318.984,842.081 321.083,712.832 323.182,560.177 325.281,535.551 327.379,482.529 329.478,599.097 331.577,689.306 333.676,825.498 \n",
       "  335.775,980.411 337.873,826.429 339.972,838.827 342.071,729.211 344.17,850.31 346.268,751.586 348.367,742.472 350.466,744.761 352.565,688.76 354.663,778.121 \n",
       "  356.762,935.859 358.861,1063.68 360.96,1026.4 363.059,857.361 365.157,893.768 367.256,795.844 369.355,815.104 371.454,774.244 373.552,745.915 375.651,652.686 \n",
       "  377.75,670.385 379.849,842.716 381.947,657.992 384.046,646.759 386.145,754.099 388.244,625.274 390.343,662.029 392.441,667.308 394.54,620.362 396.639,569.1 \n",
       "  398.738,415.116 400.836,421.604 402.935,418.917 405.034,458.906 407.133,392.389 409.231,325.386 411.33,435.908 413.429,564.695 415.528,355.543 417.627,324.948 \n",
       "  419.725,409.47 421.824,471.342 423.923,557.994 426.022,618.274 428.12,499.49 430.219,379.956 432.318,647.869 434.417,714.846 436.516,691.334 438.614,668.231 \n",
       "  440.713,737.111 442.812,790.801 444.911,877.743 447.009,765.174 449.108,679.196 451.207,433.242 453.306,336.653 455.404,448.827 457.503,410.654 459.602,380.731 \n",
       "  461.701,391.104 463.8,342.288 465.898,408.883 467.997,222.068 470.096,294.857 472.195,171.111 474.293,313.594 476.392,318.628 478.491,490.323 480.59,571.71 \n",
       "  482.688,567.473 484.787,353.253 486.886,331.853 488.985,346.383 491.084,376.491 493.182,315.524 495.281,267.083 497.38,273.35 499.479,321.837 501.577,297.449 \n",
       "  503.676,292.254 505.775,160.728 507.874,173.683 509.972,121.972 512.071,227.225 514.17,521.735 516.269,480.281 518.368,533.208 520.466,632.655 522.565,487.433 \n",
       "  524.664,490.753 526.763,515.69 528.861,487.873 530.96,542.925 533.059,507.579 535.158,463.767 537.256,403.507 539.355,363.961 541.454,334.412 543.553,335.238 \n",
       "  545.652,364.638 547.75,420.146 549.849,424.307 551.948,393.384 554.047,466.136 556.145,404.93 558.244,418.521 560.343,429.112 562.442,367.097 564.541,475.746 \n",
       "  566.639,530.728 568.738,659.95 570.837,828.742 572.936,898.368 575.034,742.653 577.133,574.533 579.232,729.941 581.331,844.443 583.429,883.319 585.528,708.456 \n",
       "  587.627,778.301 589.726,673.545 591.825,713.314 593.923,754.895 596.022,636.783 598.121,675.101 600.22,682.959 602.318,581.588 604.417,446.945 606.516,481.98 \n",
       "  608.615,365.353 610.713,305.811 612.812,318.273 614.911,526.331 617.01,647.408 619.109,736.97 621.207,778.159 623.306,833.315 625.405,842.902 627.504,560.477 \n",
       "  629.602,573.343 631.701,666.655 633.8,588.561 635.899,645.456 637.997,699.5 640.096,661.047 642.195,698.622 644.294,762.369 646.393,966.217 648.491,1052.94 \n",
       "  650.59,969.941 652.689,1126.49 654.788,1041.63 656.886,1127.32 658.985,1008.13 661.084,822.267 663.183,713.204 665.281,496.479 667.38,521.631 669.479,374.159 \n",
       "  671.578,267.318 673.677,229.204 675.775,272.739 677.874,356.174 679.973,361.727 682.072,391.732 684.17,526.964 686.269,509.881 688.368,436.189 690.467,531.77 \n",
       "  692.566,667.522 694.664,535.006 696.763,524.792 698.862,616.838 700.961,635.997 703.059,738.151 705.158,658.816 707.257,594.208 709.356,602.788 711.454,686.237 \n",
       "  713.553,620.084 715.652,731.778 717.751,628.814 719.85,737.179 721.948,742.009 724.047,645.859 726.146,666.747 728.245,685.469 730.343,601.592 732.442,679.375 \n",
       "  734.541,882.368 736.64,845.203 738.738,897.376 740.837,767.581 742.936,740.757 745.035,711.829 747.134,700.143 749.232,595.293 751.331,546.329 753.43,611.021 \n",
       "  755.529,522.237 757.627,612.135 759.726,514.218 761.825,662.67 763.924,709.327 766.022,802.311 768.121,849.651 770.22,862.736 772.319,927.66 774.418,858.317 \n",
       "  776.516,737.381 778.615,838.944 780.714,861.44 782.813,845.361 784.911,853.102 787.01,1124.97 789.109,956.575 791.208,1046.65 793.306,977.402 795.405,1074.53 \n",
       "  797.504,894.75 799.603,956.953 801.702,908.397 803.8,875.997 805.899,693.747 807.998,757.388 810.097,835.516 812.195,815.515 814.294,959.834 816.393,973.348 \n",
       "  818.492,919.137 820.59,980.974 822.689,909.064 824.788,931.295 826.887,841.587 828.986,760.331 831.084,838.402 833.183,787.668 835.282,863.148 837.381,913.876 \n",
       "  839.479,838.711 841.578,720.988 843.677,762.026 845.776,692.247 847.875,682.945 849.973,663.604 852.072,738.818 854.171,514.496 856.27,558.458 858.368,426.955 \n",
       "  860.467,488.024 862.566,451.18 864.665,521.03 866.763,631.518 868.862,684.068 870.961,804.649 873.06,724.614 875.159,726.576 877.257,892.811 879.356,926.525 \n",
       "  881.455,1030.89 883.554,917.226 885.652,910.111 887.751,908.168 889.85,926.243 891.949,1009.33 894.047,854.13 896.146,963.941 898.245,1118.65 900.344,1211 \n",
       "  902.443,1038.98 904.541,825.313 906.64,687.508 908.739,860.495 910.838,623.406 912.936,732.444 915.035,600.656 917.134,792.093 919.233,682.128 921.331,685.842 \n",
       "  923.43,893.458 925.529,680.784 927.628,791.952 929.727,887.031 931.825,1020.36 933.924,854.845 936.023,819.184 938.122,823.868 940.22,884.742 942.319,1034.71 \n",
       "  944.418,774.606 946.517,870.97 948.615,554.633 950.714,669.387 952.813,576.243 954.912,596.856 957.011,544.703 959.109,451.92 961.208,581.624 963.307,681.291 \n",
       "  965.406,750.997 967.504,785.871 969.603,785.753 971.702,735.737 973.801,584.991 975.9,559.995 977.998,446.214 980.097,509.591 982.196,509.678 984.295,553.193 \n",
       "  986.393,498.228 988.492,532.643 990.591,465.265 992.69,374.09 994.788,529.555 996.887,754.926 998.986,743.993 1001.08,906.928 1003.18,1115.08 1005.28,948.134 \n",
       "  1007.38,860.156 1009.48,810.211 1011.58,807.234 1013.68,649.796 1015.78,623.106 1017.87,605.938 1019.97,651.496 1022.07,770.575 1024.17,841.945 1026.27,871.903 \n",
       "  1028.37,660.018 1030.47,627.631 1032.57,577.565 1034.67,556.726 1036.76,483.312 1038.86,526.928 1040.96,426.596 1043.06,564.501 1045.16,604.158 1047.26,507.955 \n",
       "  1049.36,704.024 1051.46,622.124 1053.55,677.246 1055.65,727.992 1057.75,887.32 1059.85,814.907 1061.95,674.073 1064.05,862.099 1066.15,1000.92 1068.25,1152.58 \n",
       "  1070.34,1299.64 1072.44,1432.01 1074.54,1445.72 1076.64,1307.66 1078.74,1149.31 1080.84,1066.09 1082.94,1131.95 1085.04,1233.06 1087.13,1086.39 1089.23,914.494 \n",
       "  1091.33,867.401 1093.43,729.217 1095.53,659.449 1097.63,750.312 1099.73,875.06 1101.83,750.654 1103.92,911.984 1106.02,959.001 1108.12,950.459 1110.22,729.77 \n",
       "  1112.32,674.923 1114.42,860.557 1116.52,982.106 1118.62,759.021 1120.71,911.289 1122.81,791.716 1124.91,734.68 1127.01,644.838 1129.11,711.351 1131.21,660.838 \n",
       "  1133.31,697.188 1135.41,467.249 1137.5,709.436 1139.6,588.986 1141.7,760.625 1143.8,556.221 1145.9,481 1148,585.648 1150.1,753.744 1152.2,655.457 \n",
       "  1154.3,681.939 1156.39,579.76 1158.49,805.357 1160.59,883.525 1162.69,830.02 1164.79,807.031 1166.89,817.869 1168.99,826.389 1171.09,801.48 1173.18,848.205 \n",
       "  1175.28,662.313 1177.38,583.074 1179.48,637.185 1181.58,597.528 1183.68,690.56 1185.78,732.776 1187.88,916.865 1189.97,772 1192.07,943.446 1194.17,887.416 \n",
       "  1196.27,903.065 1198.37,825.874 1200.47,839.015 1202.57,936.82 1204.67,983.876 1206.76,980.878 1208.86,903.046 1210.96,947.868 1213.06,1300.88 1215.16,1125.01 \n",
       "  1217.26,1242.1 1219.36,1256.35 1221.46,1091.91 1223.55,892.521 1225.65,851.295 1227.75,923.554 1229.85,906.866 1231.95,868.994 1234.05,937.124 1236.15,1062.7 \n",
       "  1238.25,948.623 1240.34,1034.03 1242.44,814.819 1244.54,690.099 1246.64,668.147 1248.74,617.708 1250.84,696.83 1252.94,627.827 1255.04,376.749 1257.13,424.615 \n",
       "  1259.23,460.509 1261.33,502.5 1263.43,530.688 1265.53,746.016 1267.63,853.521 1269.73,842.567 1271.83,667.114 1273.92,716.701 1276.02,840.326 1278.12,748.61 \n",
       "  1280.22,652.426 1282.32,718.547 1284.42,820.108 1286.52,894.194 1288.62,706.363 1290.72,677.64 1292.81,655.689 1294.91,494.117 1297.01,432.712 1299.11,518.948 \n",
       "  1301.21,521.386 1303.31,758.601 1305.41,658.895 1307.51,652.477 1309.6,650.295 1311.7,461.656 1313.8,444.264 1315.9,509.131 1318,387.407 1320.1,298.995 \n",
       "  1322.2,337.574 1324.3,260.332 1326.39,273.897 1328.49,280.977 1330.59,403.899 1332.69,503.625 1334.79,637.678 1336.89,651.252 1338.99,689.367 1341.09,489.987 \n",
       "  1343.18,395.782 1345.28,372.839 1347.38,354.199 1349.48,505.283 1351.58,565.01 1353.68,766.273 1355.78,793.844 1357.88,722.114 1359.97,801.609 1362.07,618.66 \n",
       "  1364.17,605.155 1366.27,758.661 1368.37,661.717 1370.47,733.84 1372.57,547.996 1374.67,531.979 1376.76,648.558 1378.86,786.121 1380.96,772.612 1383.06,754.81 \n",
       "  1385.16,983.614 1387.26,980.344 1389.36,898.16 1391.46,900.388 1393.55,886.848 1395.65,826.186 1397.75,979.569 1399.85,980.869 1401.95,975.833 1404.05,968.057 \n",
       "  1406.15,877.523 1408.25,701.985 1410.35,547.931 1412.44,602.537 1414.54,560.106 1416.64,593.576 1418.74,534.904 1420.84,636.074 1422.94,540.709 1425.04,662.19 \n",
       "  1427.14,582.178 1429.23,605.814 1431.33,794.537 1433.43,970.071 1435.53,787.264 1437.63,577.654 1439.73,530.272 1441.83,366.26 1443.93,545.223 1446.02,547.064 \n",
       "  1448.12,764.355 1450.22,981.947 1452.32,1029.5 1454.42,972.727 1456.52,840.704 1458.62,839.651 1460.72,931.241 1462.81,978.367 1464.91,1169.09 1467.01,1144.27 \n",
       "  1469.11,956.543 1471.21,919.223 1473.31,1078.55 1475.41,853.146 1477.51,927.456 1479.6,909.044 1481.7,884.667 1483.8,991.922 1485.9,968.717 1488,1134.27 \n",
       "  1490.1,1045.34 1492.2,1074.66 1494.3,1097.94 1496.39,1375.32 1498.49,1356.88 1500.59,1356.31 1502.69,1351.8 1504.79,1284.12 1506.89,1288.23 1508.99,1276.59 \n",
       "  1511.09,1162.55 1513.18,1125.48 1515.28,1001.3 1517.38,988.734 1519.48,970.411 1521.58,823.719 1523.68,861.381 1525.78,962.799 1527.88,860.396 1529.97,978.288 \n",
       "  1532.07,998.645 1534.17,896.545 1536.27,968.464 1538.37,842.31 1540.47,759.673 1542.57,930.791 1544.67,915.691 1546.77,947.347 1548.86,1035.5 1550.96,1052.63 \n",
       "  1553.06,1150.19 1555.16,1019.15 1557.26,997.895 1559.36,869.358 1561.46,877.417 1563.56,829.171 1565.65,939.303 1567.75,898.242 1569.85,930.684 1571.95,878.766 \n",
       "  1574.05,894.388 1576.15,914.678 1578.25,882.954 1580.35,825.756 1582.44,768.918 1584.54,491.221 1586.64,435.67 1588.74,509.439 1590.84,566.981 1592.94,555.603 \n",
       "  1595.04,525.843 1597.14,502.301 1599.23,677.893 1601.33,612.799 1603.43,794.951 1605.53,943.237 1607.63,1043.16 1609.73,1245.79 1611.83,1375.08 1613.93,1174.78 \n",
       "  1616.02,1053.86 1618.12,1269.02 1620.22,1062.19 1622.32,1097.95 1624.42,1176.38 1626.52,1074.01 1628.62,978.939 1630.72,933.605 1632.81,871.636 1634.91,801.885 \n",
       "  1637.01,798.209 1639.11,876.64 1641.21,711.441 1643.31,652.482 1645.41,608.988 1647.51,648.544 1649.6,478.383 1651.7,653.528 1653.8,532.611 1655.9,375.838 \n",
       "  1658,409.967 1660.1,146.276 1662.2,174.785 1664.3,319.613 1666.39,466.248 1668.49,491.922 1670.59,567.967 1672.69,625.569 1674.79,529.712 1676.89,541.332 \n",
       "  1678.99,990.052 1681.09,992.924 1683.19,863.353 1685.28,908.142 1687.38,966.733 1689.48,1085 1691.58,1055.95 1693.68,991.624 1695.78,966.967 1697.88,941.69 \n",
       "  1699.98,987.709 1702.07,852.836 1704.17,872.859 1706.27,992.077 1708.37,963.905 1710.47,1017.4 1712.57,895.598 1714.67,951.596 1716.77,950.038 1718.86,1016.16 \n",
       "  1720.96,1112.88 1723.06,955.93 1725.16,906.383 1727.26,1183.73 1729.36,1139.5 1731.46,1294.7 1733.56,1158.04 1735.65,1179.75 1737.75,1150.12 1739.85,1111.32 \n",
       "  1741.95,1081.88 1744.05,1155.01 1746.15,1138.66 1748.25,1236.3 1750.35,1042.86 1752.44,1027.24 1754.54,985.919 1756.64,997.508 1758.74,918.422 1760.84,921.568 \n",
       "  1762.94,873.237 1765.04,922.82 1767.14,878.825 1769.23,1045.38 1771.33,1087.99 1773.43,1002.62 1775.53,1018.96 1777.63,924.593 1779.73,780.129 1781.83,802.424 \n",
       "  1783.93,834.012 1786.02,756.688 1788.12,724.493 1790.22,631.9 1792.32,677.669 1794.42,647.537 1796.52,803.321 1798.62,811.538 1800.72,809.469 1802.82,779.133 \n",
       "  1804.91,652.246 1807.01,539.983 1809.11,452.693 1811.21,306.391 1813.31,286.824 1815.41,225.491 1817.51,250.828 1819.61,343.871 1821.7,299.971 1823.8,218.504 \n",
       "  1825.9,263.559 1828,289.854 1830.1,328.549 1832.2,409.058 1834.3,578.288 1836.4,724.338 1838.49,715.566 1840.59,640.778 1842.69,692.876 1844.79,697.291 \n",
       "  1846.89,597.563 1848.99,702.527 1851.09,553.328 1853.19,632.248 1855.28,708.903 1857.38,587.92 1859.48,718.124 1861.58,675.595 1863.68,601.317 1865.78,619.35 \n",
       "  1867.88,676.179 1869.98,536.03 1872.07,451.439 1874.17,636.579 1876.27,567.221 1878.37,435.352 1880.47,424.65 1882.57,350.545 1884.67,299.069 1886.77,362.09 \n",
       "  1888.86,406.228 1890.96,367.66 1893.06,271.961 1895.16,226.013 1897.26,466.46 1899.36,563.317 1901.46,490.503 1903.56,553.505 1905.65,580.173 1907.75,542.121 \n",
       "  1909.85,556.005 1911.95,415.525 1914.05,345.482 1916.15,494.195 1918.25,589.479 1920.35,635.065 1922.44,714.211 1924.54,850.54 1926.64,931.742 1928.74,962.13 \n",
       "  1930.84,850.815 1932.94,943.59 1935.04,936.653 1937.14,1106.73 1939.24,1218.64 1941.33,1353.69 1943.43,1192.85 1945.53,1258.6 1947.63,1172.23 1949.73,1216.96 \n",
       "  1951.83,1285.95 1953.93,1170.06 1956.03,1014.87 1958.12,1010.07 1960.22,739.53 1962.32,809.907 1964.42,928.262 1966.52,955.865 1968.62,962.872 1970.72,727.283 \n",
       "  1972.82,727.782 1974.91,758.181 1977.01,788.342 1979.11,956.479 1981.21,1045.29 1983.31,821.163 1985.41,864.569 1987.51,971.551 1989.61,841.701 1991.7,850.855 \n",
       "  1993.8,800.037 1995.9,793.648 1998,731.705 2000.1,901.698 2002.2,835.908 2004.3,798.67 2006.4,630.644 2008.49,538.58 2010.59,541.005 2012.69,519.477 \n",
       "  2014.79,616.738 2016.89,556.858 2018.99,476.891 2021.09,255.196 2023.19,209.143 2025.28,170.101 2027.38,164.468 2029.48,155.394 2031.58,334.156 2033.68,418.679 \n",
       "  2035.78,556.535 2037.88,492.304 2039.98,630.71 2042.07,626.956 2044.17,821.855 2046.27,1045.99 2048.37,960.115 2050.47,957.047 2052.57,999.819 2054.67,874.292 \n",
       "  2056.77,1016.1 2058.87,969.418 2060.96,922.18 2063.06,791.359 2065.16,707.37 2067.26,811.58 2069.36,506.87 2071.46,542.005 2073.56,739.213 2075.66,797.614 \n",
       "  2077.75,960.19 2079.85,937.834 2081.95,1141.82 2084.05,918.423 2086.15,931.82 2088.25,770.41 2090.35,649.294 2092.45,682.633 2094.54,649.539 2096.64,716.859 \n",
       "  2098.74,577.055 2100.84,642.853 2102.94,685.874 2105.04,567.549 2107.14,695.245 2109.24,531.879 2111.33,421.32 2113.43,632.443 2115.53,557.435 2117.63,614.429 \n",
       "  2119.73,540.413 2121.83,663.522 2123.93,674.966 2126.03,661.104 2128.12,608.294 2130.22,639.041 2132.32,549.403 2134.42,429.728 2136.52,407.509 2138.62,368.17 \n",
       "  2140.72,413.251 2142.82,400.948 2144.91,505.643 2147.01,469.542 2149.11,555.587 2151.21,405.37 2153.31,541.285 2155.41,477.785 2157.51,525.887 2159.61,719.929 \n",
       "  2161.7,579.445 2163.8,427.866 2165.9,359.82 2168,362.989 2170.1,299.214 2172.2,371.112 2174.3,478.745 2176.4,536.703 2178.49,506.967 2180.59,601.095 \n",
       "  2182.69,623.421 2184.79,630.694 2186.89,835.766 2188.99,825.997 2191.09,727.013 2193.19,642.112 2195.29,927.56 2197.38,1070.41 2199.48,1001.02 2201.58,787.897 \n",
       "  2203.68,926.719 2205.78,999.794 2207.88,1077.15 2209.98,981.527 2212.08,1019.66 2214.17,882.783 2216.27,913.074 2218.37,760.601 2220.47,439.145 2222.57,467.011 \n",
       "  2224.67,614.322 2226.77,474.324 2228.87,566.561 2230.96,679.841 2233.06,669.568 2235.16,683.811 2237.26,823.571 2239.36,745.038 2241.46,678.751 2243.56,637.307 \n",
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     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
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   ],
   "source": [
    "plot(r_mean)\n",
    "plot!(sol.u)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
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       "  781.794,650.228 783.858,348.687 785.922,906.155 787.987,1069.75 790.051,581.794 792.115,554.992 794.179,628.043 796.244,995.142 798.308,652.577 800.372,584.761 \n",
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       "  885.007,476.59 887.071,681.393 889.135,860.637 891.2,786.744 893.264,1091.03 895.328,566.747 897.392,764.851 899.457,970.524 901.521,1073.37 903.585,906.436 \n",
       "  905.649,974.985 907.714,1133.53 909.778,972.702 911.842,994.114 913.906,725.932 915.971,692.702 918.035,751.123 920.099,661.427 922.163,434.68 924.228,888.37 \n",
       "  926.292,570.01 928.356,933.356 930.42,532.231 932.485,692.437 934.549,626.618 936.613,842.94 938.677,1103.93 940.742,1051.98 942.806,744.401 944.87,790.699 \n",
       "  946.935,899.175 948.999,654.507 951.063,822.873 953.127,850.783 955.192,762.736 957.256,975.194 959.32,653.588 961.384,966.378 963.449,1110.04 965.513,1002.21 \n",
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       "  988.22,889.803 990.284,1059.8 992.348,1196.26 994.412,988.919 996.477,930.118 998.541,932.819 1000.61,1045.34 1002.67,876.356 1004.73,424.117 1006.8,251.517 \n",
       "  1008.86,1104.61 1010.93,505.998 1012.99,682.104 1015.06,864.527 1017.12,1003.89 1019.18,858.012 1021.25,674.079 1023.31,817.397 1025.38,1092.29 1027.44,976.374 \n",
       "  1029.5,608.904 1031.57,848.526 1033.63,842.448 1035.7,607.628 1037.76,551.908 1039.83,787.925 1041.89,691.059 1043.95,804.949 1046.02,871.314 1048.08,521.744 \n",
       "  1050.15,504.815 1052.21,1063.85 1054.28,721.007 1056.34,822.593 1058.4,304.643 1060.47,1262.18 1062.53,1064.94 1064.6,530.714 1066.66,434.467 1068.73,667.277 \n",
       "  1070.79,645.682 1072.85,670.874 1074.92,904.669 1076.98,778.913 1079.05,605.764 1081.11,988.063 1083.18,968.887 1085.24,1302.64 1087.3,974.611 1089.37,727.8 \n",
       "  1091.43,727.11 1093.5,920.54 1095.56,640.048 1097.63,911.829 1099.69,707.99 1101.75,236.986 1103.82,736.803 1105.88,739.924 1107.95,617.553 1110.01,1095.6 \n",
       "  1112.08,745.572 1114.14,632.971 1116.2,711.417 1118.27,406.319 1120.33,921.041 1122.4,1195.08 1124.46,555.798 1126.52,862.102 1128.59,559.735 1130.65,685.633 \n",
       "  1132.72,989.233 1134.78,807.441 1136.85,646.94 1138.91,808.996 1140.97,881.537 1143.04,623.948 1145.1,384.704 1147.17,787.143 1149.23,439.625 1151.3,782.828 \n",
       "  1153.36,101.727 1155.42,884.608 1157.49,590.535 1159.55,543.767 1161.62,832.557 1163.68,1017.08 1165.75,884.472 1167.81,998.055 1169.87,665.354 1171.94,719.003 \n",
       "  1174,800.056 1176.07,864.396 1178.13,722.16 1180.2,977.195 1182.26,1006.66 1184.32,1175.9 1186.39,782.62 1188.45,531.289 1190.52,1004.46 1192.58,707.981 \n",
       "  1194.65,857.309 1196.71,611.386 1198.77,570.931 1200.84,1025.3 1202.9,960.21 1204.97,805.296 1207.03,961.878 1209.1,741.084 1211.16,824.253 1213.22,917.12 \n",
       "  1215.29,854.594 1217.35,821.386 1219.42,638.514 1221.48,397.717 1223.55,853.71 1225.61,712.858 1227.67,907.917 1229.74,1058.4 1231.8,973.574 1233.87,856.678 \n",
       "  1235.93,1032.56 1237.99,1127.65 1240.06,559.429 1242.12,646.866 1244.19,779.259 1246.25,1162.39 1248.32,716.092 1250.38,889.353 1252.44,522.617 1254.51,794.62 \n",
       "  1256.57,494.217 1258.64,927.773 1260.7,897.267 1262.77,977.682 1264.83,845.115 1266.89,698.945 1268.96,853.729 1271.02,578.98 1273.09,758.044 1275.15,511.243 \n",
       "  1277.22,434.966 1279.28,1084.17 1281.34,802.843 1283.41,736.4 1285.47,859.682 1287.54,589.498 1289.6,801.458 1291.67,854.653 1293.73,777.992 1295.79,1110.63 \n",
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       "  1339.14,755.092 1341.21,1205.16 1343.27,1071.81 1345.34,703.708 1347.4,951.401 1349.46,563.843 1351.53,1027.14 1353.59,970.126 1355.66,1156.38 1357.72,529.789 \n",
       "  1359.79,932.987 1361.85,1163.91 1363.91,624.948 1365.98,639.27 1368.04,635.058 1370.11,771.851 1372.17,842.905 1374.24,769.052 1376.3,1001.6 1378.36,850.062 \n",
       "  1380.43,507.426 1382.49,1294.24 1384.56,500.917 1386.62,675.396 1388.69,464.585 1390.75,580.621 1392.81,464.226 1394.88,1021.07 1396.94,953.988 1399.01,801.995 \n",
       "  1401.07,922.139 1403.14,873.593 1405.2,619.592 1407.26,543.218 1409.33,1056.93 1411.39,955.179 1413.46,804.359 1415.52,361.286 1417.59,814.301 1419.65,814.636 \n",
       "  1421.71,721.285 1423.78,984.169 1425.84,936.926 1427.91,550.559 1429.97,1002.95 1432.04,974.329 1434.1,1012.17 1436.16,1127.25 1438.23,734.028 1440.29,240.298 \n",
       "  1442.36,742.343 1444.42,1043.56 1446.48,716.826 1448.55,690.151 1450.61,1099.76 1452.68,624.817 1454.74,654.578 1456.81,717.899 1458.87,999.571 1460.93,1078.87 \n",
       "  1463,941.851 1465.06,812.921 1467.13,342.899 1469.19,744.591 1471.26,883.88 1473.32,646.329 1475.38,910.207 1477.45,806.555 1479.51,986.417 1481.58,775.053 \n",
       "  1483.64,656.061 1485.71,1153.51 1487.77,759.081 1489.83,567.818 1491.9,770.892 1493.96,806.96 1496.03,531.327 1498.09,861.736 1500.16,751.038 1502.22,907.392 \n",
       "  1504.28,921.335 1506.35,890.084 1508.41,907.009 1510.48,777.013 1512.54,645.483 1514.61,1169.19 1516.67,935.568 1518.73,903.918 1520.8,1117.55 1522.86,969.826 \n",
       "  1524.93,538.335 1526.99,840.811 1529.06,709.6 1531.12,707.817 1533.18,595.387 1535.25,675.182 1537.31,853.577 1539.38,343.656 1541.44,997.026 1543.5,1068.25 \n",
       "  1545.57,875.097 1547.63,357.964 1549.7,911.375 1551.76,752.176 1553.83,705.572 1555.89,977.815 1557.95,1020.02 1560.02,803.417 1562.08,1005.1 1564.15,917.244 \n",
       "  1566.21,1123.41 1568.28,737.232 1570.34,627.341 1572.4,1286.19 1574.47,921.889 1576.53,570.946 1578.6,619.685 1580.66,1260.75 1582.73,760.593 1584.79,286.394 \n",
       "  1586.85,868.047 1588.92,759.327 1590.98,945.573 1593.05,591.142 1595.11,1061.88 1597.18,1119.39 1599.24,713.939 1601.3,527.544 1603.37,885.337 1605.43,529.002 \n",
       "  1607.5,1264.77 1609.56,693.48 1611.63,897.707 1613.69,1012.29 1615.75,1111.44 1617.82,682.355 1619.88,638.437 1621.95,1204.04 1624.01,573.986 1626.08,799.131 \n",
       "  1628.14,862.28 1630.2,769.35 1632.27,867.595 1634.33,723.009 1636.4,639.299 1638.46,1284.17 1640.53,853.679 1642.59,914.532 1644.65,933.844 1646.72,1127.47 \n",
       "  1648.78,694.413 1650.85,1304.9 1652.91,986.856 1654.97,1150.78 1657.04,573.063 1659.1,667.495 1661.17,739.698 1663.23,932.204 1665.3,832.62 1667.36,747.761 \n",
       "  1669.42,849.549 1671.49,733.333 1673.55,433.361 1675.62,763.385 1677.68,749.419 1679.75,1115.58 1681.81,740.726 1683.87,955.985 1685.94,783.743 1688,1299.56 \n",
       "  1690.07,546.328 1692.13,447.242 1694.2,892.315 1696.26,983.99 1698.32,1042.25 1700.39,574.282 1702.45,610.123 1704.52,1066.14 1706.58,697.793 1708.65,721.299 \n",
       "  1710.71,787.516 1712.77,771.248 1714.84,708.912 1716.9,629.652 1718.97,595.95 1721.03,569.504 1723.1,628.836 1725.16,467.032 1727.22,755.068 1729.29,680.697 \n",
       "  1731.35,681.487 1733.42,795.694 1735.48,843.62 1737.55,885.793 1739.61,542.713 1741.67,682.04 1743.74,1036.24 1745.8,812.397 1747.87,693.947 1749.93,751.197 \n",
       "  1752,1096.86 1754.06,520.389 1756.12,770.012 1758.19,643.525 1760.25,1010.54 1762.32,1144.27 1764.38,689.569 1766.44,1001.43 1768.51,980.747 1770.57,655.128 \n",
       "  1772.64,461.697 1774.7,718.261 1776.77,736.709 1778.83,1020.71 1780.89,1105.8 1782.96,677.018 1785.02,671.769 1787.09,952.278 1789.15,691.151 1791.22,729.316 \n",
       "  1793.28,1143.75 1795.34,1112.48 1797.41,884.709 1799.47,535.101 1801.54,535.037 1803.6,723.097 1805.67,1055.36 1807.73,911.84 1809.79,612.455 1811.86,415.018 \n",
       "  1813.92,435.7 1815.99,1005.78 1818.05,606.241 1820.12,293.931 1822.18,907.587 1824.24,744.712 1826.31,571.603 1828.37,395.637 1830.44,696.871 1832.5,789.398 \n",
       "  1834.57,875.006 1836.63,814.66 1838.69,658.046 1840.76,735.7 1842.82,690.891 1844.89,971.183 1846.95,1035.93 1849.02,839.759 1851.08,680.553 1853.14,887.182 \n",
       "  1855.21,869.52 1857.27,655.766 1859.34,692.586 1861.4,589.196 1863.46,664.139 1865.53,757.539 1867.59,343.613 1869.66,909.774 1871.72,841.266 1873.79,723.623 \n",
       "  1875.85,822.951 1877.91,657.619 1879.98,968.018 1882.04,754.589 1884.11,917.164 1886.17,892.164 1888.24,701.294 1890.3,996.174 1892.36,1051.07 1894.43,719.16 \n",
       "  1896.49,792.202 1898.56,846.497 1900.62,622.13 1902.69,407.907 1904.75,658.134 1906.81,484.217 1908.88,381.935 1910.94,616.078 1913.01,740.907 1915.07,542.131 \n",
       "  1917.14,735.82 1919.2,587.37 1921.26,950.913 1923.33,907.602 1925.39,614.945 1927.46,931.883 1929.52,691.18 1931.59,1117.14 1933.65,878.404 1935.71,866.058 \n",
       "  1937.78,495.562 1939.84,1073.02 1941.91,778.686 1943.97,635.383 1946.04,568.743 1948.1,1131.48 1950.16,706.722 1952.23,951.069 1954.29,904.797 1956.36,686.425 \n",
       "  1958.42,997.024 1960.49,715.094 1962.55,1070.7 1964.61,544.184 1966.68,824.125 1968.74,1001.66 1970.81,849.303 1972.87,510.03 1974.93,676.816 1977,519.98 \n",
       "  1979.06,169.048 1981.13,808.301 1983.19,924.419 1985.26,973.628 1987.32,720.152 1989.38,238.081 1991.45,754.947 1993.51,804.471 1995.58,1124.76 1997.64,830.836 \n",
       "  1999.71,894.19 2001.77,595.521 2003.83,793.493 2005.9,1169.51 2007.96,511.139 2010.03,917.694 2012.09,1059.13 2014.16,884.845 2016.22,967.911 2018.28,731.737 \n",
       "  2020.35,704.6 2022.41,840.221 2024.48,821.924 2026.54,564.517 2028.61,204 2030.67,849.388 2032.73,971.065 2034.8,872.356 2036.86,376.606 2038.93,350.438 \n",
       "  2040.99,622.223 2043.06,1084.61 2045.12,709.473 2047.18,547.85 2049.25,829.234 2051.31,653.42 2053.38,608.221 2055.44,828.186 2057.51,1196.97 2059.57,899.391 \n",
       "  2061.63,826.758 2063.7,788.411 2065.76,674.907 2067.83,524.853 2069.89,1108.09 2071.95,606.6 2074.02,876.328 2076.08,649.783 2078.15,87.9763 2080.21,281.889 \n",
       "  2082.28,666.444 2084.34,782.353 2086.4,525.193 2088.47,1278.66 2090.53,728.571 2092.6,603.047 2094.66,869.711 2096.73,738.433 2098.79,904.007 2100.85,1107.69 \n",
       "  2102.92,734.345 2104.98,695.903 2107.05,1029.5 2109.11,739.956 2111.18,529.35 2113.24,929.244 2115.3,646.772 2117.37,560.124 2119.43,485.966 2121.5,897.093 \n",
       "  2123.56,986.368 2125.63,1048.57 2127.69,1290.03 2129.75,571.354 2131.82,996.615 2133.88,668.011 2135.95,472.246 2138.01,637.484 2140.08,853.416 2142.14,712.149 \n",
       "  2144.2,856.855 2146.27,891.149 2148.33,547.204 2150.4,689.559 2152.46,1059.8 2154.53,698.421 2156.59,437.616 2158.65,740.743 2160.72,673.867 2162.78,283.541 \n",
       "  2164.85,970.319 2166.91,929.029 2168.98,1240.87 2171.04,705.092 2173.1,1035.33 2175.17,916.6 2177.23,906.536 2179.3,675.913 2181.36,389.573 2183.42,1027.87 \n",
       "  2185.49,502.641 2187.55,770.557 2189.62,892.55 2191.68,790.084 2193.75,1111.61 2195.81,668.803 2197.87,612.038 2199.94,737.401 2202,564.977 2204.07,860.541 \n",
       "  2206.13,873.684 2208.2,964.155 2210.26,1100.03 2212.32,791.327 2214.39,557.24 2216.45,1133.55 2218.52,469.585 2220.58,698.568 2222.65,656.209 2224.71,281.002 \n",
       "  2226.77,833.036 2228.84,1132.82 2230.9,717.622 2232.97,621.091 2235.03,694.934 2237.1,974.205 2239.16,589.424 2241.22,938.85 2243.29,573.437 2245.35,799.062 \n",
       "  2247.42,968.869 2249.48,1222.59 2251.55,985.209 2253.61,1151.54 2255.67,1309.73 2257.74,1010.55 2259.8,833.05 2261.87,530.369 2263.93,1110.87 2266,682.484 \n",
       "  2268.06,832.901 2270.12,482.139 2272.19,910.011 2274.25,1118.34 2276.32,1192.9 2278.38,489.303 2280.44,766.54 2282.51,677.982 2284.57,761.103 2286.64,678.235 \n",
       "  2288.7,773.611 2290.77,1134.59 \n",
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       "  740.509,1182.57 742.573,997.488 744.637,1267.05 746.702,900.073 748.766,1064.74 750.83,978.542 752.894,801.42 754.959,734.712 757.023,693.67 759.087,835.947 \n",
       "  761.151,774.234 763.216,818.206 765.28,684.868 767.344,846.635 769.408,1071.5 771.473,984.32 773.537,687.765 775.601,1009.03 777.665,796.495 779.73,646.622 \n",
       "  781.794,721.024 783.858,505.42 785.922,938.802 787.987,868.719 790.051,686.864 792.115,584.036 794.179,645.005 796.244,814.192 798.308,589.655 800.372,571.591 \n",
       "  802.436,648.914 804.501,408.147 806.565,767.179 808.629,909.875 810.694,995.559 812.758,649.815 814.822,996.25 816.886,761.289 818.951,780.148 821.015,726.891 \n",
       "  823.079,1041.33 825.143,677.743 827.208,665.498 829.272,746.345 831.336,880.73 833.4,834.967 835.465,776.288 837.529,702.441 839.593,710.741 841.657,636 \n",
       "  843.722,694.131 845.786,598.64 847.85,752.327 849.914,681.891 851.979,798.182 854.043,1059.17 856.107,765.124 858.171,567.615 860.236,561.601 862.3,571.065 \n",
       "  864.364,825.418 866.428,965.13 868.493,908.461 870.557,694.846 872.621,635.566 874.686,664.396 876.75,700.656 878.814,989.628 880.878,839.483 882.943,807.125 \n",
       "  885.007,597.166 887.071,768.775 889.135,849.18 891.2,805.019 893.264,924.158 895.328,625.98 897.392,848.955 899.457,1027.53 901.521,939.106 903.585,945.082 \n",
       "  905.649,855.842 907.714,1079.28 909.778,997.294 911.842,949.294 913.906,798.95 915.971,619.252 918.035,863.179 920.099,699.472 922.163,495.145 924.228,529.574 \n",
       "  926.292,608.517 928.356,849.887 930.42,810.458 932.485,513.017 934.549,852.85 936.613,773.519 938.677,1134.36 940.742,843.537 942.806,884.973 944.87,909.963 \n",
       "  946.935,643.481 948.999,897.364 951.063,827.936 953.127,804.955 955.192,634.665 957.256,922.102 959.32,845.854 961.384,990.518 963.449,1028.41 965.513,758.115 \n",
       "  967.577,1038.74 969.641,641.466 971.706,1007.75 973.77,684.244 975.834,910.025 977.898,866.358 979.963,1021.21 982.027,990.63 984.091,737.247 986.155,803.52 \n",
       "  988.22,863.641 990.284,972.232 992.348,1031.92 994.412,945.309 996.477,1018.28 998.541,940.62 1000.61,1058.51 1002.67,802.037 1004.73,564.832 1006.8,446.705 \n",
       "  1008.86,841.143 1010.93,603.383 1012.99,744.092 1015.06,1017.58 1017.12,986.455 1019.18,739.218 1021.25,843.795 1023.31,824.799 1025.38,724.638 1027.44,896.796 \n",
       "  1029.5,773.49 1031.57,815.54 1033.63,711.121 1035.7,740.336 1037.76,676.727 1039.83,790.877 1041.89,776.422 1043.95,736.253 1046.02,692.93 1048.08,470.819 \n",
       "  1050.15,709.447 1052.21,880.39 1054.28,788.378 1056.34,743.427 1058.4,676.664 1060.47,953.491 1062.53,1055.46 1064.6,607.889 1066.66,486.884 1068.73,762.655 \n",
       "  1070.79,541.287 1072.85,762.24 1074.92,831.053 1076.98,804.862 1079.05,594.218 1081.11,893.601 1083.18,1199.5 1085.24,1155.37 1087.3,970.53 1089.37,784.564 \n",
       "  1091.43,724.903 1093.5,695.112 1095.56,590.723 1097.63,755.025 1099.69,729.725 1101.75,582.524 1103.82,662.172 1105.88,545.596 1107.95,672.998 1110.01,951.408 \n",
       "  1112.08,743.475 1114.14,755.601 1116.2,806.306 1118.27,626.535 1120.33,732.323 1122.4,1098.46 1124.46,662.456 1126.52,678.348 1128.59,542.261 1130.65,845.359 \n",
       "  1132.72,1028.72 1134.78,753.104 1136.85,538.808 1138.91,927.399 1140.97,664.176 1143.04,650.484 1145.1,538.69 1147.17,738.706 1149.23,503.706 1151.3,624.715 \n",
       "  1153.36,309.803 1155.42,908.279 1157.49,490.467 1159.55,735.09 1161.62,617.483 1163.68,988.669 1165.75,1038.11 1167.81,938.903 1169.87,612.136 1171.94,781.837 \n",
       "  1174,772.446 1176.07,1011.87 1178.13,741.226 1180.2,828.154 1182.26,986.064 1184.32,1047.58 1186.39,821.848 1188.45,677.832 1190.52,849.561 1192.58,645.283 \n",
       "  1194.65,845.765 1196.71,783.911 1198.77,696.645 1200.84,981.35 1202.9,911.422 1204.97,900.379 1207.03,726.169 1209.1,922.068 1211.16,726.824 1213.22,870.582 \n",
       "  1215.29,795.214 1217.35,836.771 1219.42,721.334 1221.48,543.128 1223.55,704.386 1225.61,741.596 1227.67,998.937 1229.74,1125.93 1231.8,699.532 1233.87,997.275 \n",
       "  1235.93,898.507 1237.99,822.563 1240.06,685.238 1242.12,831.783 1244.19,908.544 1246.25,932.822 1248.32,806.523 1250.38,871.975 1252.44,665.76 1254.51,580.223 \n",
       "  1256.57,683.94 1258.64,667.177 1260.7,915.19 1262.77,983.945 1264.83,856.492 1266.89,810.475 1268.96,669.343 1271.02,577.447 1273.09,858.459 1275.15,636.524 \n",
       "  1277.22,634.276 1279.28,905.482 1281.34,915.103 1283.41,699.9 1285.47,671.313 1287.54,596.741 1289.6,912.971 1291.67,880.508 1293.73,716.062 1295.79,947.763 \n",
       "  1297.86,933.044 1299.92,844.965 1301.99,593.586 1304.05,544.294 1306.12,746.886 1308.18,730.907 1310.24,551.581 1312.31,718.43 1314.37,890.314 1316.44,952.578 \n",
       "  1318.5,1073.29 1320.57,698.989 1322.63,708.145 1324.69,502.2 1326.76,573.602 1328.82,857.339 1330.89,752.062 1332.95,904.861 1335.01,1041.7 1337.08,1204.15 \n",
       "  1339.14,916.001 1341.21,1133.1 1343.27,1049.14 1345.34,925.686 1347.4,876.121 1349.46,750.941 1351.53,843.569 1353.59,914.81 1355.66,841.351 1357.72,810.94 \n",
       "  1359.79,972.698 1361.85,1032.88 1363.91,859.953 1365.98,676.111 1368.04,739.917 1370.11,644.206 1372.17,722.95 1374.24,848.295 1376.3,773.349 1378.36,925.025 \n",
       "  1380.43,817.641 1382.49,848.071 1384.56,709.959 1386.62,527.603 1388.69,653.267 1390.75,693.264 1392.81,626.586 1394.88,788.616 1396.94,901.603 1399.01,968.862 \n",
       "  1401.07,739.914 1403.14,743.601 1405.2,725.434 1407.26,691.583 1409.33,906.76 1411.39,998.213 1413.46,685.101 1415.52,537.643 1417.59,705.096 1419.65,696.461 \n",
       "  1421.71,719.879 1423.78,931.85 1425.84,1005.34 1427.91,734.585 1429.97,950.51 1432.04,944.171 1434.1,1060.2 1436.16,905.302 1438.23,838.969 1440.29,436.317 \n",
       "  1442.36,791.737 1444.42,985.634 1446.48,727.689 1448.55,515.767 1450.61,836.92 1452.68,811.167 1454.74,724.25 1456.81,993.846 1458.87,916.641 1460.93,1117.58 \n",
       "  1463,904.454 1465.06,627.752 1467.13,437.92 1469.19,646.237 1471.26,883.118 1473.32,830.694 1475.38,849.939 1477.45,882.947 1479.51,742.6 1481.58,687.842 \n",
       "  1483.64,866.083 1485.71,1035.7 1487.77,606.91 1489.83,805.466 1491.9,720.07 1493.96,756.424 1496.03,736.979 1498.09,743.77 1500.16,862.808 1502.22,744.512 \n",
       "  1504.28,942.299 1506.35,924.809 1508.41,991.794 1510.48,638.877 1512.54,751.244 1514.61,970.618 1516.67,911.452 1518.73,967.677 1520.8,984.364 1522.86,837.836 \n",
       "  1524.93,721.724 1526.99,738.186 1529.06,781.789 1531.12,691.272 1533.18,599.88 1535.25,793.093 1537.31,785.007 1539.38,512 1541.44,969.327 1543.5,889.2 \n",
       "  1545.57,742.563 1547.63,663.781 1549.7,694.862 1551.76,808.628 1553.83,931.754 1555.89,845.571 1557.95,973.438 1560.02,913.362 1562.08,908.315 1564.15,938.362 \n",
       "  1566.21,841.022 1568.28,833.944 1570.34,750.34 1572.4,1116.19 1574.47,902.941 1576.53,793.61 1578.6,675.154 1580.66,989.406 1582.73,719.875 1584.79,575.927 \n",
       "  1586.85,754.627 1588.92,737.513 1590.98,805.17 1593.05,721.559 1595.11,842.532 1597.18,1121.53 1599.24,904.028 1601.3,683.073 1603.37,738.836 1605.43,718.845 \n",
       "  1607.5,1027.74 1609.56,943.055 1611.63,820.017 1613.69,1106.59 1615.75,986.321 1617.82,772.213 1619.88,794.47 1621.95,849.35 1624.01,511.67 1626.08,816.134 \n",
       "  1628.14,979.533 1630.2,606.43 1632.27,917.952 1634.33,786.303 1636.4,669.419 1638.46,1022.43 1640.53,949.098 1642.59,926.208 1644.65,960.343 1646.72,1066.37 \n",
       "  1648.78,925.472 1650.85,970.321 1652.91,1056.52 1654.97,1028.11 1657.04,770.515 1659.1,638.769 1661.17,913.871 1663.23,700.382 1665.3,782.288 1667.36,863.277 \n",
       "  1669.42,689.809 1671.49,907.578 1673.55,730.164 1675.62,746.854 1677.68,726.382 1679.75,953.792 1681.81,815.235 1683.87,834.112 1685.94,1000.32 1688,1242.63 \n",
       "  1690.07,451.006 1692.13,496.671 1694.2,905.094 1696.26,949.459 1698.32,929.981 1700.39,604.171 1702.45,665.662 1704.52,896.057 1706.58,764.323 1708.65,765.04 \n",
       "  1710.71,677.482 1712.77,836.466 1714.84,767.175 1716.9,566.676 1718.97,607.995 1721.03,497.704 1723.1,679.189 1725.16,555.644 1727.22,718.052 1729.29,678.477 \n",
       "  1731.35,573.884 1733.42,850.152 1735.48,996.223 1737.55,668.467 1739.61,707.103 1741.67,573.047 1743.74,930.645 1745.8,792.853 1747.87,741.289 1749.93,809.056 \n",
       "  1752,949.101 1754.06,645.748 1756.12,753.045 1758.19,588.634 1760.25,995.829 1762.32,1002.88 1764.38,861.647 1766.44,883.741 1768.51,922.59 1770.57,693.275 \n",
       "  1772.64,648.439 1774.7,681.46 1776.77,886.094 1778.83,854.785 1780.89,873.813 1782.96,790.395 1785.02,674.16 1787.09,826.203 1789.15,871.921 1791.22,841.591 \n",
       "  1793.28,957.839 1795.34,1016 1797.41,834.182 1799.47,731.945 1801.54,623.383 1803.6,834.228 1805.67,831.557 1807.73,793.712 1809.79,592.765 1811.86,442.782 \n",
       "  1813.92,545.982 1815.99,788.588 1818.05,625.229 1820.12,598.293 1822.18,766.419 1824.24,775.497 1826.31,644.462 1828.37,452.922 1830.44,647.492 1832.5,842.615 \n",
       "  1834.57,838.889 1836.63,813.26 1838.69,770.552 1840.76,802.959 1842.82,735.245 1844.89,782.173 1846.95,885.922 1849.02,904.028 1851.08,744.066 1853.14,792.639 \n",
       "  1855.21,899.282 1857.27,608.181 1859.34,795.803 1861.4,641.142 1863.46,573.508 1865.53,780.054 1867.59,476.497 1869.66,755.677 1871.72,857.921 1873.79,780.175 \n",
       "  1875.85,680.824 1877.91,798.058 1879.98,1007.71 1882.04,683.891 1884.11,811.241 1886.17,921.625 1888.24,791.79 1890.3,960.704 1892.36,1030.59 1894.43,797.45 \n",
       "  1896.49,729.446 1898.56,742.851 1900.62,705.599 1902.69,700.535 1904.75,514.238 1906.81,403.409 1908.88,534.486 1910.94,565.937 1913.01,621.218 1915.07,619.027 \n",
       "  1917.14,619.994 1919.2,758.9 1921.26,1003.97 1923.33,851.352 1925.39,717.191 1927.46,864.514 1929.52,838.963 1931.59,920.901 1933.65,820.619 1935.71,741.3 \n",
       "  1937.78,802.193 1939.84,882.001 1941.91,895.173 1943.97,677.098 1946.04,659.883 1948.1,739.993 1950.16,883.488 1952.23,833.544 1954.29,930.074 1956.36,782.865 \n",
       "  1958.42,752.279 1960.49,761.855 1962.55,953.056 1964.61,624.36 1966.68,1015.8 1968.74,970.239 1970.81,741.959 1972.87,547.591 1974.93,485.279 1977,643.895 \n",
       "  1979.06,485.545 1981.13,751.011 1983.19,912.022 1985.26,774.217 1987.32,518.782 1989.38,621.787 1991.45,742.501 1993.51,696.722 1995.58,1017.49 1997.64,848.187 \n",
       "  1999.71,859.922 2001.77,728.054 2003.83,925.472 2005.9,824.062 2007.96,696.028 2010.03,805.27 2012.09,1008.83 2014.16,987.567 2016.22,923.285 2018.28,841.383 \n",
       "  2020.35,653.516 2022.41,731.875 2024.48,679.452 2026.54,698.45 2028.61,515.224 2030.67,794.842 2032.73,897.629 2034.8,894.763 2036.86,493.372 2038.93,485.274 \n",
       "  2040.99,543.703 2043.06,952.169 2045.12,706.916 2047.18,775.108 2049.25,740.342 2051.31,499.102 2053.38,693.066 2055.44,849.622 2057.51,948.619 2059.57,1034.23 \n",
       "  2061.63,741.16 2063.7,735.168 2065.76,653.845 2067.83,705.785 2069.89,960.074 2071.95,549.95 2074.02,953.995 2076.08,734.277 2078.15,274.547 2080.21,409.068 \n",
       "  2082.28,500.997 2084.34,757.405 2086.4,466.671 2088.47,1034.15 2090.53,711.52 2092.6,743.87 2094.66,906.547 2096.73,794.002 2098.79,927.871 2100.85,876.798 \n",
       "  2102.92,908.967 2104.98,774.479 2107.05,812.528 2109.11,846.718 2111.18,523.822 2113.24,827.874 2115.3,854.547 2117.37,493.546 2119.43,657.969 2121.5,795.513 \n",
       "  2123.56,1047.19 2125.63,976.404 2127.69,1035.34 2129.75,764.12 2131.82,882.145 2133.88,620.849 2135.95,566.994 2138.01,720.863 2140.08,796.435 2142.14,821.341 \n",
       "  2144.2,815.804 2146.27,870.557 2148.33,613.074 2150.4,763.476 2152.46,774.289 2154.53,841.283 2156.59,509.817 2158.65,732.246 2160.72,685.896 2162.78,332.271 \n",
       "  2164.85,786.573 2166.91,994.697 2168.98,1114.06 2171.04,874.897 2173.1,1061.03 2175.17,954.602 2177.23,816.81 2179.3,653.703 2181.36,653.48 2183.42,779.241 \n",
       "  2185.49,667.921 2187.55,842.299 2189.62,704.529 2191.68,765.049 2193.75,983.396 2195.81,966.968 2197.87,597.787 2199.94,521.911 2202,583.144 2204.07,1003.53 \n",
       "  2206.13,878.009 2208.2,908.85 2210.26,868.87 2212.32,849.782 2214.39,627.711 2216.45,924.386 2218.52,506.68 2220.58,589.656 2222.65,847.381 2224.71,626.114 \n",
       "  2226.77,660.477 2228.84,1049.65 2230.9,802.316 2232.97,627.476 2235.03,750.39 2237.1,885.508 2239.16,587.913 2241.22,781.369 2243.29,724.015 2245.35,836.136 \n",
       "  2247.42,963.426 2249.48,1211.81 2251.55,947.751 2253.61,1233.48 2255.67,1119.2 2257.74,1167.01 2259.8,812.145 2261.87,594.992 2263.93,1061.91 2266,815.562 \n",
       "  2268.06,716.099 2270.12,722.926 2272.19,582.537 2274.25,1023.8 2276.32,967.435 2278.38,847.855 2280.44,742.945 2282.51,573.804 2284.57,744.408 2286.64,766.939 \n",
       "  2288.7,700.509 2290.77,1087.78 \n",
       "  \"/>\n",
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      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot(noise)\n",
    "plot!(r_mean.-sol.u)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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