{ "cells": [ { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# The Unique Features and Performance of DifferentialEquations.jl\n", "\n", "<br />\n", "### JuliaCon 2017\n", "<br />\n", "### Chris Rackauckas \n", "### University of California, Irvine" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Quick About Me \n", "\n", "- PhD Candidate in Mathematics at UC Irvine\n", "- Research in:\n", " - Numerical methods for stochastic ODEs/PDEs\n", " - Multiscale and spatial biological simulations \n", " - Effects of stochasticity in gene regulatory networks\n", "- I created DiffEq because it was necessary:\n", " - No software was using the latest methods\n", " - I wanted the latest and fastest methods to benchmark against\n", " - I am too lazy to change my code around: everything needs one interface\n", " - I wanted to be able to use these methods to build large biological models\n", " - I wanted parallel computing to be part of the design\n", " - I wanted tools to be able to match models to data" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# DifferentialEquations.jl is about modeling\n", "\n", "<center><img src=\"http://idahoptv.org/sciencetrek/topics/food_chain/images/web2.png\",width=800></center>" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Scientific laws, theories, and experiments describe how things change\n", "<br />\n", "### Differential equations give a mechanistic model\n", "\n", "<br />\n", "\n", "### Differential equations map \"change\" to simulations\n", "\n", "<br /> \n", "\n", "### Differential equations bridge from models to predictions\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Differential Equations vs Machine Learning\n", "\n", "- The models are different\n", " - Machine learning uses general non-mechanistic models\n", " - Differential equations utilize knowledge about the structure of the problem\n", "- The reliance on data is different\n", " - Machine learning needs to learn from data\n", " - Machine learning models stack simple models together\n", " - DE models are complex and nonlinear \n", " - DE can model without data, or can calibrate to data\n", " - DE have fewer parameters, and can be learned with less data\n", "- Both are used to create predictions\n", " - Ordinary and partial differential equations are the standard tools of physics\n", " - Stochastic differential equations are a standard tool in stock market analysis" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## There are many types of differential equations \n", "\n", "- Ordinary differential equations evolve over one variable (let's call this time)\n", "- Systems of differential equations evolve multiple quantities at the same time\n", "- Stochastic differential equations add randomness (referred to as \"noise\")\n", "- Delay differential equations allow for delayed interactions\n", "- Gillespie simulations evolve discrete quantities via a stochastic model\n", "- Partial differential equations evolve over multiple variables (space and time)\n", "\n", "DifferentialEquations.jl incorporates all of these under a single interface" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Problem 1: Ordinary Differential Equations\n", "\n", "http://docs.juliadiffeq.org/latest/tutorials/ode_example.html\n", "\n", "$$\\frac{du(t)}{dt} = f(u(t)p,t)$$\n", "\n", "where $u(t_0) = u_0$ is the known initial value. We want to know $u(t)$ for $t\\in[t_0,t_f]$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Exponential Growth Model \n", "\n", "- My money has been temporarily stolen by the banking cartel (it's in the bank)\n", "- My money grows at a rate of 98% per year due to interest (really good bank)\n", "- I start with $1: How much will I have in 5 years?\n", "\n", "$$ \\frac{du}{dt} = 0.98u $$\n", "\n", "$$u(0)=1$$\n", "\n", "Solve for $u(t)$ for $t\\in[0,5]$" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "using DifferentialEquations\n", "f(u,p,t) = p*u\n", "u0=1.0\n", "p = 0.98\n", "tspan = (0.0,5.0)\n", "prob = ODEProblem(f,u0,tspan,p)\n", "sol = solve(prob);" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/html": [ "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n", "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 600 400\">\n", "<defs>\n", " <clipPath id=\"clip00\">\n", " <rect x=\"0\" y=\"0\" width=\"600\" height=\"400\"/>\n", " </clipPath>\n", "</defs>\n", "<polygon clip-path=\"url(#clip00)\" points=\"\n", "0,400 600,400 600,0 0,0 \n", " \" fill=\"#ffffff\" fill-opacity=\"1\"/>\n", "<defs>\n", " <clipPath id=\"clip01\">\n", " <rect x=\"120\" y=\"0\" width=\"421\" height=\"400\"/>\n", " </clipPath>\n", "</defs>\n", "<polygon clip-path=\"url(#clip00)\" points=\"\n", "45.8815,369.674 596.063,369.674 596.063,23.3815 45.8815,23.3815 \n", " \" fill=\"#ffffff\" fill-opacity=\"1\"/>\n", "<defs>\n", " <clipPath id=\"clip02\">\n", " <rect x=\"45\" y=\"23\" width=\"551\" height=\"347\"/>\n", " </clipPath>\n", "</defs>\n", "<polyline clip-path=\"url(#clip02)\" style=\"stroke:#00002d; 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font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:12; text-anchor:end;\" transform=\"rotate(0, 44.6815, 116.961)\" x=\"44.6815\" y=\"116.961\">100</text>\n", "</g>\n", "<g clip-path=\"url(#clip00)\">\n", "<text style=\"fill:#00002d; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:21; text-anchor:middle;\" transform=\"rotate(0, 320.972, 18)\" x=\"320.972\" y=\"18\">My Bank Account</text>\n", "</g>\n", "<g clip-path=\"url(#clip00)\">\n", "<text style=\"fill:#00002d; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:16; text-anchor:middle;\" transform=\"rotate(0, 320.972, 397.6)\" x=\"320.972\" y=\"397.6\">Time (t)</text>\n", "</g>\n", "<g clip-path=\"url(#clip00)\">\n", "<text style=\"fill:#00002d; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:16; text-anchor:middle;\" transform=\"rotate(-90, 14.4, 196.528)\" x=\"14.4\" y=\"196.528\">Money!</text>\n", "</g>\n", "<polyline clip-path=\"url(#clip02)\" style=\"stroke:#0099ff; 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gr()\n", "# Use the plot recipe, along with some plotting attributes\n", "plot(sol,linewidth=5,title=\"My Bank Account\",\n", " xaxis=\"Time (t)\",yaxis=\"Money!\",legend=false)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Controlling the Solvers\n", "\n", "See http://docs.juliadiffeq.org/latest/basics/common_solver_opts.html" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "11\n", "15\n", "[0.0,0.5,1.0,1.5,2.0,2.5,3.0,3.5,4.0,4.5,5.0]\n", "[0.0,0.0634774,0.221501,0.43294,0.5,0.696266,0.923443,1.20696,1.53056,1.89898,2.30449,2.74501,3.21551,3.71248,4.23208,4.77109,5.0]\n", "[0.0,5.0]\n" ] } ], "source": [ "sol = solve(prob)\n", "println(length(sol.t))\n", "sol = solve(prob,abstol=1e-6,reltol=1e-6)\n", "println(length(sol.t))\n", "sol = solve(prob,saveat=0.5,reltol=1e-6)\n", "println(sol.t)\n", "sol = solve(prob,tstops=[0.5],reltol=1e-4)\n", "println(sol.t)\n", "sol = solve(prob,reltol=1e-6,save_everystep=false)\n", "println(sol.t)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Analyzing the Solution\n", "\n", "http://docs.juliadiffeq.org/latest/basics/solution.html" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.106052911995544\n", "2.956279956560924\n", "[2.0,2.30727,3.17657,4.63952,7.01861,11.2071,18.9435,34.2493,66.3366,137.407,273.572]\n" ] } ], "source": [ "sol = solve(prob,Tsit5())\n", "println(sol.t[5]) # 5th timepoint\n", "println(sol[5]) # 5th timepoint value\n", "println([t+2u for (t,u) in zip(sol.t,sol.u)])" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "DifferentialEquations.jl comes with interpolations on the solution type" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "1.5542610480525965" ], "text/plain": [ "1.5542610480525965" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sol(0.45) # The value of the solution at t=0.45" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Choosing Solvers\n", "\n", "http://docs.juliadiffeq.org/latest/solvers/ode_solve.html\n", "\n", "DifferentialEquations.jl is composed of many (30+?) packages which together provide its functionality under one interface. For Ordinary Differential Equations, we have:\n", "\n", "- OrdinaryDiffEq.jl: native Julia library. Fully featured, and in many cases faster than the classic C/Fortran libraries.\n", "- Sundials.jl: provides Adams and BDF methods. A standard library\n", "- LSODA.jl: provides the stability-detecting LSODA algorithm\n", "- ODEInterface.jl: provides classic Fortran algorithms like `dopri` and `radau`\n", "- ODE.jl: backwards compatibility\n", "\n", "DifferentialEquations.jl also provides automatic detection of the appropriate algorithm" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "# Automatically uses CVODE_BDF from Sundials\n", "sol = solve(prob,alg_hints=[:stiff],reltol=1e-8,abstol=1e-8) \n", "# Use Tsit5 from OrdinaryDiffEq\n", "sol = solve(prob,Tsit5()); \n", "# Use CVODE_BDF from Sundials\n", "sol = solve(prob,CVODE_BDF()); \n", "using ODEInterfaceDiffEq\n", "# Use radau from ODEInterfaceDiffEq\n", "sol = solve(prob,radau()); " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## The `*DiffEq` Libraries\n", "\n", "The `*DiffEq` libraries (OrdinaryDiffEq.jl, StochasticDiffEq.jl, DelayDiffEq.jl) are the native Julia solvers. They have a lot of unique features:\n", "\n", "- They routinely benchmark as the fastest implementations\n", "- They have cheap/free high order interpolations (will show in a second!)\n", "- They have expressive event handling\n", "- They can handle generic `Number` and `AbstractArray` types\n", "\n", "The wrapped libraries, while classics (Sundials.jl, ODEInterfaceDiffEq.jl) are restricted to `Vector{Float64}`.\n", "\n", "http://docs.juliadiffeq.org/latest/basics/compatibility_chart.html" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Method Recommendations \n", "\n", "- `BS3()` for fast low accuracy non-stiff\n", "- `Tsit5()` for standard non-stiff. This is the first algorithm to try in most cases.\n", "- `Vern7()` for high accuracy non-stiff\n", "- `Rosenbrock23()` for stiff equations with Julia-defined types, events, etc.\n", "- `radau()` for stiff equations at higher accuracy on `Vector{Float64}`\n", "- `CVODE_BDF()` for large stiff equations (discretizations of PDEs) on `Vector{Float64}`" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Translations from MATLAB/Python/R\n", "\n", "- `ode23` --> `BS3()`\n", "- `ode45`/`dopri5` --> `DP5()`, though in most cases `Tsit5()` is more efficient\n", "- `ode23s` --> `Rosenbrock23()`\n", "- `ode113` --> `CVODE_Adams()`, though in many cases `Vern7()` or `Vern8()` are more efficient\n", "- `dop853` --> `DP8()`, though in most cases `Vern7()` or `Vern8()` are more efficient\n", "- `ode15s`/`vode` --> `CVODE_BDF()`, though in many cases `radau()` is more efficient\n", "- `ode23t` --> `Trapezoid()`\n", "- `lsoda` --> `lsoda()` (requires `Pkg.add(\"LSODA\"); using LSODA`)\n", "- `ode15i` --> `IDA()`" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Example 2: Systems of Differential Equations\n", "\n", "$$\n", "\\begin{align}\n", "\\frac{dx}{dt} &= σ(y-x) \\\\\n", "\\frac{dy}{dt} &= x(ρ-z) - y \\\\\n", "\\frac{dz}{dt} &= xy - βz \\\\\n", "\\end{align}\n", "$$" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "function lorenz(du,u,p,t)\n", " du[1] = 10.0(u[2]-u[1])\n", " du[2] = u[1]*(28.0-u[3]) - u[2]\n", " du[3] = u[1]*u[2] - (8/3)*u[3]\n", "end\n", "u0 = [1.0;0.0;0.0]\n", "tspan = (0.0,25.0)\n", "prob = ODEProblem(lorenz,u0,tspan)\n", "sol = solve(prob,Tsit5());" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## The Plot Recipe Interpolates and Does Phase Plots" ] }, { "cell_type": "code", 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187.053,207.596 184.825,207.839 182.527,208.006 180.171,208.093 177.768,208.099 175.331,208.017 172.875,207.844 170.42,207.572 167.983,207.2 \n", " 165.585,206.724 163.246,206.143 160.989,205.457 158.836,204.668 156.811,203.777 154.939,202.788 153.245,201.706 151.757,200.536 150.496,199.288 149.48,197.973 \n", " 148.725,196.605 148.245,195.196 148.049,193.759 148.145,192.309 148.534,190.86 149.216,189.427 150.188,188.025 151.441,186.671 152.963,185.38 154.741,184.171 \n", " 156.756,183.059 158.986,182.064 161.403,181.201 163.969,180.475 166.651,179.893 169.42,179.458 172.244,179.17 175.096,179.03 177.948,179.034 180.773,179.18 \n", " 183.546,179.461 186.244,179.868 188.844,180.393 191.323,181.023 193.667,181.747 195.866,182.556 197.912,183.439 199.796,184.385 201.511,185.386 203.053,186.431 \n", " 204.417,187.511 205.601,188.618 206.603,189.744 207.425,190.881 208.067,192.02 208.532,193.155 208.825,194.278 208.947,195.388 208.901,196.48 208.688,197.55 \n", " 208.31,198.595 207.77,199.61 207.071,200.592 206.216,201.537 205.208,202.443 204.051,203.306 202.749,204.123 201.306,204.891 199.727,205.608 198.017,206.272 \n", " 196.185,206.882 194.235,207.432 192.17,207.918 189.995,208.334 187.717,208.675 185.344,208.937 182.888,209.114 180.36,209.204 177.775,209.201 175.148,209.103 \n", " 172.499,208.906 169.847,208.607 167.213,208.203 164.621,207.693 162.097,207.072 159.655,206.342 157.323,205.501 155.133,204.55 153.113,203.489 151.291,202.324 \n", " 149.692,201.061 148.337,199.707 147.249,198.274 146.446,196.774 145.944,195.222 145.757,193.633 145.898,192.027 146.376,190.426 147.186,188.856 148.315,187.335 \n", " 149.747,185.879 151.466,184.505 153.452,183.226 155.682,182.055 158.131,181.007 160.771,180.092 163.572,179.321 166.502,178.704 169.525,178.251 172.604,177.968 \n", " 175.7,177.859 178.782,177.907 181.822,178.106 184.791,178.447 187.668,178.92 190.43,179.517 193.06,180.228 195.542,181.04 197.863,181.941 200.012,182.92 \n", " 201.984,183.961 203.772,185.051 205.373,186.179 206.784,187.339 208.006,188.523 209.038,189.723 209.881,190.93 210.537,192.139 211.008,193.343 211.295,194.535 \n", " 211.402,195.711 211.331,196.866 211.086,197.995 210.67,199.096 210.089,200.165 209.347,201.2 208.443,202.198 207.379,203.155 206.159,204.067 204.784,204.932 \n", " 203.258,205.746 201.586,206.506 199.773,207.208 197.824,207.85 195.746,208.428 193.544,208.939 191.228,209.38 188.805,209.748 186.285,210.04 183.676,210.249 \n", " 180.991,210.369 178.241,210.393 175.442,210.314 172.611,210.13 169.767,209.835 166.933,209.425 164.131,208.898 161.387,208.252 158.729,207.486 156.187,206.597 \n", " 153.792,205.587 151.565,204.459 149.538,203.218 147.747,201.871 146.222,200.425 144.988,198.893 144.067,197.285 143.477,195.617 143.232,193.904 143.34,192.165 \n", " 143.808,190.419 144.636,188.688 145.821,186.997 147.356,185.371 149.225,183.836 151.396,182.415 153.836,181.123 156.514,179.975 159.397,178.982 162.45,178.153 \n", " 165.637,177.496 168.923,177.014 172.27,176.711 175.639,176.586 178.991,176.638 182.285,176.861 185.496,177.241 188.601,177.765 191.579,178.419 194.41,179.193 \n", " 197.079,180.074 199.571,181.049 201.875,182.106 203.983,183.232 205.89,184.414 207.593,185.64 209.092,186.897 210.39,188.171 211.49,189.451 212.39,190.736 \n", " 213.094,192.019 213.603,193.296 213.921,194.56 214.052,195.806 213.998,197.029 213.762,198.225 213.349,199.39 212.761,200.522 212.001,201.616 211.073,202.672 \n", " 209.987,203.687 208.744,204.659 207.343,205.584 205.785,206.46 204.07,207.281 202.202,208.044 200.184,208.745 198.022,209.381 195.721,209.947 193.29,210.439 \n", " 190.737,210.854 188.073,211.188 185.309,211.435 182.458,211.594 179.534,211.658 176.552,211.624 173.523,211.485 170.47,211.233 167.414,210.859 164.381,210.359 \n", " 161.396,209.728 158.486,208.963 155.683,208.064 153.017,207.03 150.521,205.864 148.23,204.57 146.181,203.151 144.409,201.617 142.941,199.982 141.804,198.262 \n", " 141.021,196.474 140.607,194.636 140.574,192.767 140.93,190.886 141.676,189.015 142.809,187.175 144.32,185.388 146.196,183.677 148.417,182.067 150.962,180.583 \n", " 153.8,179.252 156.889,178.094 160.177,177.122 163.619,176.342 167.17,175.759 170.79,175.375 174.439,175.188 178.08,175.194 181.676,175.387 185.194,175.755 \n", " 188.602,176.286 191.869,176.965 194.972,177.775 197.899,178.702 200.638,179.73 203.178,180.847 205.512,182.037 207.633,183.287 209.537,184.586 211.223,185.921 \n", " 212.689,187.281 213.938,188.655 214.973,190.034 215.801,191.409 216.428,192.772 216.853,194.12 217.08,195.451 217.114,196.757 216.958,198.037 216.616,199.285 \n", " 216.091,200.499 215.387,201.674 214.507,202.81 213.454,203.902 212.232,204.949 210.842,205.948 209.293,206.901 207.594,207.804 205.74,208.654 203.73,209.445 \n", " 201.564,210.174 199.244,210.835 196.773,211.424 194.158,211.936 191.407,212.365 188.53,212.706 185.54,212.956 182.45,213.107 179.276,213.156 176.037,213.097 \n", " 172.754,212.924 169.447,212.632 166.14,212.216 162.851,211.669 159.612,210.983 156.458,210.151 153.424,209.169 150.546,208.036 147.86,206.753 145.401,205.324 \n", " 143.206,203.757 141.311,202.062 139.753,200.249 138.57,198.336 137.797,196.345 137.452,194.307 137.538,192.244 138.057,190.18 139.002,188.138 140.364,186.14 \n", " 142.131,184.211 144.282,182.373 146.796,180.65 149.645,179.066 152.797,177.644 156.216,176.407 159.86,175.381 163.681,174.584 167.611,174.013 171.596,173.665 \n", " 175.591,173.534 179.553,173.613 183.444,173.893 187.231,174.363 190.882,175.008 194.371,175.81 197.677,176.75 200.781,177.807 203.669,178.963 206.334,180.206 \n", " 208.771,181.519 210.978,182.889 212.953,184.303 214.696,185.748 216.208,187.212 217.491,188.687 218.549,190.162 219.386,191.63 220.009,193.082 220.423,194.515 \n", " 220.634,195.923 220.645,197.304 220.46,198.654 220.084,199.97 219.519,201.248 218.769,202.485 217.837,203.68 216.727,204.83 215.441,205.933 213.982,206.987 \n", " 212.353,207.99 210.557,208.942 208.6,209.84 206.482,210.681 204.201,211.459 201.758,212.171 199.156,212.812 196.401,213.376 193.499,213.858 190.459,214.253 \n", " 187.292,214.555 184.01,214.759 180.629,214.856 177.164,214.842 173.635,214.71 170.06,214.453 166.46,214.065 162.867,213.535 159.313,212.851 155.833,212.007 \n", " 152.464,210.998 149.245,209.821 146.214,208.478 143.415,206.971 140.889,205.307 138.681,203.493 136.838,201.543 135.405,199.47 134.413,197.303 133.883,195.067 \n", " 133.83,192.788 134.26,190.492 135.177,188.207 136.574,185.96 138.439,183.781 140.753,181.698 143.491,179.742 146.619,177.942 150.099,176.331 153.885,174.94 \n", " 157.916,173.792 162.12,172.891 166.44,172.239 170.821,171.837 175.211,171.679 179.565,171.758 183.839,172.063 187.994,172.58 191.996,173.288 195.812,174.166 \n", " 199.418,175.191 202.797,176.344 205.94,177.607 208.841,178.962 211.493,180.391 213.894,181.878 216.042,183.409 217.938,184.97 219.585,186.548 220.987,188.133 \n", " 222.152,189.713 223.088,191.281 223.8,192.831 224.292,194.359 224.572,195.86 224.644,197.33 224.513,198.767 224.185,200.166 223.662,201.525 222.95,202.842 \n", " 222.05,204.115 220.968,205.342 219.704,206.522 218.265,207.656 216.659,208.743 214.88,209.779 212.925,210.761 210.792,211.685 208.481,212.549 205.992,213.346 \n", " 203.328,214.074 200.494,214.727 197.497,215.301 194.343,215.79 191.042,216.188 187.606,216.49 184.047,216.69 180.38,216.782 176.62,216.758 172.783,216.611 \n", " 168.89,216.328 164.969,215.895 161.052,215.302 157.172,214.54 153.368,213.601 149.681,212.482 146.155,211.179 142.838,209.692 139.782,208.022 137.042,206.174 \n", " 134.668,204.155 132.707,201.986 131.2,199.687 130.183,197.285 129.682,194.805 129.715,192.274 130.294,189.724 131.421,187.185 133.09,184.69 135.287,182.274 \n", " 137.992,179.973 141.174,177.826 144.795,175.873 148.802,174.154 153.112,172.692 157.654,171.501 162.362,170.591 167.176,169.963 172.034,169.616 176.883,169.544 \n", " 181.667,169.735 186.338,170.172 190.848,170.835 195.155,171.697 199.24,172.737 203.083,173.93 206.672,175.254 209.996,176.687 213.045,178.21 215.817,179.802 \n", " 218.31,181.446 220.526,183.125 222.47,184.825 224.153,186.532 225.584,188.232 226.77,189.92 227.716,191.59 228.429,193.237 228.917,194.855 229.188,196.441 \n", " 229.246,197.991 229.099,199.502 228.75,200.971 228.205,202.396 227.468,203.777 226.542,205.112 225.432,206.402 224.143,207.646 222.672,208.842 221.017,209.988 \n", " 219.178,211.083 217.152,212.123 214.942,213.105 212.547,214.028 209.97,214.887 207.212,215.679 204.277,216.401 201.168,217.049 197.89,217.618 194.448,218.104 \n", " 190.849,218.502 187.1,218.8 183.21,218.986 179.192,219.051 175.063,218.983 170.846,218.771 166.568,218.405 162.26,217.875 157.959,217.17 153.704,216.28 \n", " 149.541,215.197 145.511,213.913 141.657,212.428 138.054,210.735 134.769,208.834 131.866,206.729 129.4,204.431 127.422,201.955 125.975,199.324 125.095,196.564 \n", " 124.815,193.709 125.159,190.795 126.144,187.869 127.784,184.979 130.069,182.182 132.947,179.53 136.367,177.061 140.273,174.809 144.607,172.804 149.305,171.07 \n", " 154.298,169.628 159.513,168.496 164.874,167.686 170.298,167.207 175.702,167.06 181.026,167.219 186.219,167.656 191.236,168.346 196.037,169.265 200.589,170.387 \n", " 204.868,171.686 208.856,173.135 212.543,174.707 215.925,176.373 219.006,178.104 221.787,179.881 224.27,181.693 226.463,183.525 228.375,185.365 230.015,187.201 \n", " 231.392,189.022 232.514,190.822 233.391,192.592 234.032,194.328 234.445,196.025 234.639,197.681 234.624,199.295 234.403,200.864 233.982,202.387 233.366,203.864 \n", " 232.557,205.293 231.559,206.674 230.374,208.006 229.005,209.29 227.451,210.524 225.714,211.711 223.795,212.849 221.692,213.935 219.401,214.969 216.919,215.947 \n", " 214.245,216.867 211.377,217.724 208.317,218.514 205.064,219.233 201.622,219.874 197.994,220.433 194.183,220.901 190.197,221.273 186.048,221.54 181.742,221.689 \n", " 177.295,221.704 172.725,221.572 168.056,221.279 163.319,220.812 158.552,220.158 153.797,219.305 149.103,218.242 144.524,216.957 140.12,215.439 135.945,213.684 \n", " 132.062,211.692 128.56,209.461 125.516,206.997 122.999,204.315 121.07,201.434 119.778,198.384 119.167,195.198 119.267,191.919 120.103,188.596 121.689,185.288 \n", " 124.027,182.057 127.072,178.973 130.762,176.087 135.034,173.441 139.817,171.072 145.035,169.012 150.608,167.288 156.45,165.921 162.469,164.926 168.567,164.316 \n", " 174.645,164.092 180.631,164.224 186.466,164.677 192.096,165.422 197.476,166.43 202.57,167.667 207.352,169.104 211.802,170.706 215.913,172.44 219.684,174.273 \n", " 223.121,176.172 226.221,178.123 228.995,180.106 231.453,182.107 233.607,184.109 235.468,186.101 237.048,188.071 238.358,190.012 239.411,191.915 240.218,193.776 \n", " 240.793,195.593 241.144,197.362 241.28,199.084 241.209,200.755 240.938,202.377 240.472,203.948 239.816,205.469 238.974,206.94 237.949,208.362 236.742,209.737 \n", " 235.357,211.065 233.791,212.348 232.042,213.583 230.106,214.772 227.981,215.912 225.664,217.002 223.151,218.041 220.441,219.027 217.53,219.956 214.416,220.827 \n", " 211.096,221.637 207.569,222.38 203.834,223.049 199.888,223.636 195.73,224.132 191.365,224.526 186.802,224.808 182.054,224.964 177.138,224.981 172.077,224.844 \n", " 166.895,224.538 161.622,224.046 156.29,223.363 150.952,222.465 145.668,221.322 140.505,219.912 135.531,218.222 130.821,216.241 126.449,213.967 122.497,211.406 \n", " 119.049,208.569 116.193,205.474 114.02,202.145 112.621,198.616 112.042,194.94 112.312,191.175 113.448,187.379 115.45,183.613 118.3,179.935 121.961,176.409 \n", " 126.38,173.098 131.485,170.065 137.188,167.378 143.381,165.103 149.936,163.27 156.731,161.884 163.653,160.946 170.602,160.449 177.487,160.377 184.226,160.705 \n", " 190.748,161.4 196.993,162.421 202.91,163.716 208.466,165.243 213.646,166.966 218.443,168.847 222.852,170.851 226.875,172.945 230.515,175.102 233.783,177.295 \n", " 236.693,179.503 239.262,181.706 241.51,183.89 243.449,186.044 245.099,188.161 246.475,190.235 247.592,192.259 248.465,194.231 249.108,196.147 249.53,198.006 \n", " 249.745,199.807 249.76,201.551 249.585,203.239 249.229,204.875 248.694,206.458 247.983,207.989 247.099,209.47 246.043,210.902 244.816,212.286 243.417,213.624 \n", " 241.846,214.918 240.1,216.17 238.178,217.382 236.076,218.555 233.785,219.687 231.3,220.776 228.614,221.822 225.72,222.822 222.612,223.774 219.284,224.673 \n", " 215.73,225.517 211.944,226.299 207.924,227.014 203.671,227.656 199.178,228.214 194.438,228.675 189.454,229.026 184.233,229.251 178.791,229.335 173.148,229.258 \n", " 167.333,229.003 161.382,228.547 155.334,227.87 149.239,226.946 143.146,225.76 137.122,224.292 131.266,222.507 125.677,220.379 120.456,217.893 115.706,215.045 \n", " 111.528,211.843 108.026,208.304 105.304,204.458 103.465,200.345 102.616,196.015 102.824,191.552 104.097,187.044 106.423,182.567 109.771,178.197 114.091,174.01 \n", " 119.314,170.081 125.353,166.486 132.102,163.298 139.434,160.592 147.207,158.44 155.251,156.866 163.409,155.847 171.553,155.364 179.568,155.392 187.358,155.893 \n", " 194.844,156.822 201.962,158.124 208.668,159.736 214.929,161.593 220.729,163.655 226.069,165.875 230.954,168.211 235.391,170.625 239.395,173.085 242.981,175.562 \n", " 246.172,178.033 248.993,180.478 251.468,182.883 253.618,185.238 255.468,187.536 257.037,189.771 258.346,191.939 259.413,194.038 260.256,196.066 260.889,198.023 \n", " 261.327,199.911 261.584,201.734 261.671,203.494 261.594,205.192 261.359,206.831 260.972,208.412 260.437,209.939 259.758,211.414 258.936,212.842 257.974,214.225 \n", " 256.873,215.569 255.632,216.877 254.246,218.15 252.71,219.388 251.018,220.594 249.166,221.769 247.145,222.913 244.948,224.027 242.567,225.112 239.993,226.169 \n", " 237.218,227.195 234.229,228.19 231.014,229.153 227.559,230.079 223.855,230.965 219.889,231.806 215.653,232.594 211.137,233.322 206.333,233.98 201.236,234.558 \n", " 195.839,235.043 190.158,235.426 184.186,235.686 177.921,235.795 171.376,235.728 164.575,235.455 157.558,234.948 150.378,234.177 143.1,233.109 135.805,231.713 \n", " 128.585,229.954 121.547,227.798 114.795,225.219 108.46,222.199 102.723,218.713 97.7519,214.754 93.6973,210.338 90.6943,205.5 88.8622,200.298 88.3038,194.809 \n", " 89.1064,189.132 91.3399,183.387 94.9934,177.72 99.9801,172.266 106.196,167.142 113.513,162.454 121.777,158.297 130.813,154.754 140.418,151.899 150.366,149.794 \n", " 160.435,148.456 170.456,147.829 180.277,147.864 189.77,148.502 198.833,149.677 207.391,151.314 215.398,153.33 222.832,155.634 229.679,158.156 235.945,160.843 \n", " 241.648,163.639 246.81,166.498 251.455,169.379 255.615,172.249 259.322,175.081 262.614,177.856 265.523,180.559 268.084,183.18 270.327,185.713 272.282,188.152 \n", " 273.977,190.495 275.437,192.741 276.687,194.893 277.749,196.954 278.64,198.926 279.378,200.812 279.978,202.615 280.453,204.342 280.817,205.995 281.08,207.58 \n", " 281.252,209.102 281.339,210.565 281.348,211.973 281.284,213.328 281.151,214.636 280.953,215.9 280.692,217.123 280.369,218.308 279.985,219.459 279.54,220.577 \n", " 279.033,221.666 278.464,222.728 277.83,223.766 277.129,224.782 276.357,225.777 275.511,226.754 274.585,227.715 273.575,228.661 272.476,229.594 271.28,230.516 \n", " 269.98,231.428 268.568,232.331 267.036,233.227 265.373,234.118 263.57,235.003 261.614,235.884 259.494,236.762 257.195,237.637 254.704,238.508 252.005,239.377 \n", " 249.081,240.244 245.914,241.107 242.483,241.966 238.769,242.817 234.753,243.657 230.413,244.481 225.727,245.282 220.673,246.052 215.231,246.784 209.391,247.464 \n", " 203.122,248.08 196.397,248.613 189.204,249.039 181.538,249.33 173.411,249.453 164.844,249.367 155.868,249.028 146.529,248.386 136.884,247.389 127.014,245.995 \n", " 117.05,244.114 107.149,241.653 97.496,238.538 88.3028,234.713 79.8086,230.141 72.2794,224.804 66.0085,218.702 61.3131,211.856 58.4524,204.355 57.6258,196.349 \n", " 58.9713,188.004 62.5507,179.508 68.3494,171.064 76.2766,162.898 86.1649,155.252 97.7706,148.39 110.747,142.565 124.639,137.894 139.063,134.433 153.673,132.19 \n", " 168.163,131.128 182.263,131.164 195.741,132.167 208.416,133.972 220.217,136.435 231.112,139.405 241.088,142.746 250.155,146.339 258.344,150.08 265.709,153.881 \n", " 272.326,157.671 278.254,161.389 283.55,165.005 288.281,168.498 292.51,171.852 296.294,175.054 299.688,178.094 302.742,180.968 305.502,183.671 308.01,186.204 \n", " 310.304,188.572 312.422,190.784 314.401,192.849 316.268,194.774 318.052,196.563 319.777,198.225 321.469,199.766 323.149,201.192 324.837,202.511 326.551,203.727 \n", " 328.307,204.842 330.12,205.86 332.004,206.784 333.975,207.615 336.047,208.357 338.235,209.012 340.552,209.582 343.01,210.064 345.621,210.457 348.397,210.759 \n", " 351.35,210.968 354.492,211.081 357.835,211.096 361.389,211.01 365.166,210.819 369.172,210.518 373.419,210.101 377.913,209.561 382.658,208.895 387.654,208.096 \n", " 392.896,207.161 398.378,206.086 404.089,204.869 410.012,203.506 416.119,201.999 422.378,200.348 428.748,198.557 435.177,196.639 441.597,194.607 447.934,192.482 \n", " 454.097,190.291 459.986,188.062 465.487,185.833 470.477,183.642 474.834,181.537 478.45,179.574 481.188,177.809 482.94,176.291 483.62,175.062 483.172,174.157 \n", " 481.565,173.605 478.795,173.426 474.886,173.634 469.897,174.226 463.948,175.15 457.176,176.365 449.72,177.828 441.725,179.49 433.339,181.297 424.716,183.191 \n", " 416.016,185.106 407.401,186.974 398.997,188.753 390.883,190.43 383.133,191.989 375.807,193.418 368.945,194.713 362.575,195.877 356.705,196.917 351.327,197.851 \n", " 346.423,198.697 341.986,199.467 337.996,200.176 334.426,200.837 331.253,201.461 328.452,202.061 325.999,202.646 323.868,203.224 322.034,203.804 320.474,204.388 \n", " 319.166,204.979 318.09,205.58 317.229,206.191 316.566,206.813 316.087,207.445 315.779,208.084 315.629,208.729 315.628,209.377 315.77,210.025 316.048,210.672 \n", " 316.459,211.316 316.998,211.952 317.663,212.578 318.452,213.19 319.365,213.782 320.402,214.352 321.566,214.896 322.862,215.411 324.295,215.895 325.868,216.343 \n", " 327.59,216.751 329.467,217.116 331.507,217.433 333.718,217.696 336.111,217.901 338.698,218.044 341.49,218.119 344.5,218.121 347.741,218.042 351.224,217.878 \n", " 354.965,217.619 358.975,217.258 363.269,216.788 367.85,216.202 372.735,215.489 377.942,214.639 383.484,213.64 389.366,212.484 395.585,211.162 402.129,209.669 \n", " 408.982,207.998 416.117,206.148 423.502,204.115 431.095,201.899 438.848,199.503 446.683,196.941 454.496,194.234 462.171,191.415 469.578,188.522 476.573,185.603 \n", " 482.998,182.713 488.683,179.917 493.442,177.287 497.078,174.905 499.423,172.865 500.362,171.24 499.808,170.077 497.716,169.411 494.087,169.258 488.959,169.623 \n", " 482.418,170.491 474.587,171.838 465.634,173.621 455.787,175.758 445.33,178.114 434.504,180.594 423.527,183.118 412.596,185.611 401.882,188.004 391.539,190.241 \n", " 381.695,192.268 372.437,194.067 363.799,195.656 355.799,197.045 348.448,198.249 341.739,199.287 335.656,200.182 330.168,200.96 325.233,201.651 320.807,202.283 \n", " 316.859,202.87 313.347,203.429 310.231,203.975 307.474,204.52 305.041,205.073 302.898,205.644 301.015,206.237 299.363,206.856 297.913,207.502 296.641,208.176 \n", " 295.527,208.877 294.552,209.605 293.696,210.359 292.944,211.135 292.281,211.932 291.692,212.745 291.167,213.572 290.696,214.41 290.271,215.258 289.884,216.113 \n", " 289.527,216.974 289.195,217.838 288.881,218.702 288.58,219.564 288.286,220.423 287.998,221.279 287.71,222.129 287.419,222.974 287.122,223.812 286.815,224.642 \n", " 286.496,225.464 286.16,226.278 285.806,227.083 285.43,227.879 285.03,228.667 284.601,229.446 284.141,230.216 283.647,230.979 283.114,231.733 282.538,232.481 \n", " 281.916,233.222 281.243,233.957 280.515,234.686 279.724,235.411 278.867,236.132 277.937,236.85 276.926,237.566 275.829,238.281 274.636,238.995 273.339,239.711 \n", " 271.929,240.429 270.394,241.149 268.724,241.873 266.907,242.602 264.928,243.337 262.775,244.078 260.43,244.827 257.877,245.585 255.096,246.35 252.07,247.123 \n", " 248.775,247.902 245.189,248.687 241.292,249.475 237.058,250.261 232.457,251.045 227.457,251.821 222.029,252.581 216.148,253.314 209.789,254.003 202.927,254.632 \n", " 195.543,255.178 187.618,255.617 179.145,255.921 170.136,256.056 160.577,255.967 150.484,255.593 139.907,254.867 128.935,253.716 117.69,252.06 106.331,249.816 \n", " 95.0543,246.893 84.0877,243.196 73.6555,238.67 64.1426,233.223 55.955,226.791 49.459,219.373 44.9807,211.029 42.8066,201.885 43.1832,192.127 46.3168,182.005 \n", " 52.3054,171.838 60.9692,161.981 72.0626,152.743 85.2659,144.402 100.183,137.203 116.34,131.355 133.19,127.035 150.221,124.275 167.04,122.962 183.313,122.973 \n", " 198.783,124.153 213.273,126.315 226.685,129.241 238.988,132.71 250.181,136.576 260.304,140.692 269.412,144.935 277.573,149.204 284.867,153.418 291.378,157.52 \n", " 297.188,161.468 302.374,165.24 307.009,168.817 311.164,172.188 314.901,175.348 318.281,178.295 321.357,181.037 324.181,183.58 326.795,185.934 329.24,188.104 \n", " 331.553,190.101 333.768,191.933 335.915,193.609 338.025,195.139 340.122,196.53 342.225,197.789 344.357,198.92 346.535,199.928 348.776,200.82 351.098,201.598 \n", " 353.517,202.268 356.044,202.833 358.691,203.293 361.47,203.649 364.388,203.9 367.456,204.048 370.68,204.092 374.066,204.032 377.619,203.867 381.341,203.598 \n", " 385.233,203.22 389.293,202.732 393.516,202.135 397.892,201.426 402.408,200.609 407.048,199.684 411.791,198.654 416.614,197.523 421.484,196.296 426.358,194.983 \n", " 431.192,193.595 435.932,192.145 440.523,190.651 444.904,189.132 449.009,187.61 452.768,186.11 456.105,184.659 458.942,183.286 461.216,182.024 462.864,180.903 \n", " 463.826,179.949 464.057,179.185 463.529,178.629 462.233,178.292 460.174,178.184 457.375,178.308 453.874,178.661 449.73,179.232 445.025,179.988 439.845,180.904 \n", " 434.279,181.953 428.416,183.108 422.346,184.34 416.16,185.617 409.95,186.908 403.808,188.179 397.809,189.408 392.001,190.59 386.432,191.714 381.142,192.773 \n", " 376.161,193.763 371.511,194.684 367.207,195.538 363.252,196.328 359.646,197.064 356.375,197.756 353.438,198.409 350.826,199.028 348.527,199.618 346.528,200.184 \n", " 344.817,200.731 343.382,201.261 342.209,201.78 341.288,202.288 340.606,202.788 340.15,203.278 339.912,203.759 339.884,204.23 340.059,204.69 340.43,205.137 \n", " 340.991,205.568 341.74,205.981 342.671,206.371 343.784,206.736 345.076,207.071 346.546,207.371 348.198,207.634 350.035,207.855 352.059,208.032 354.272,208.159 \n", " 356.679,208.231 359.282,208.244 362.085,208.192 365.091,208.068 368.304,207.867 371.724,207.584 375.357,207.215 379.206,206.753 383.271,206.193 387.55,205.532 \n", " 392.037,204.765 396.721,203.891 401.588,202.905 406.621,201.807 411.799,200.596 417.098,199.273 422.483,197.841 427.907,196.31 433.32,194.691 438.664,192.999 \n", " 443.872,191.251 448.876,189.47 453.597,187.68 457.951,185.91 461.849,184.191 465.193,182.558 467.884,181.049 469.849,179.708 471.026,178.57 471.358,177.66 \n", " 470.807,176.999 469.358,176.602 467.016,176.476 463.803,176.625 459.765,177.045 454.966,177.725 449.49,178.649 443.454,179.769 436.985,181.036 430.201,182.413 \n", " 423.213,183.865 416.128,185.357 409.044,186.858 402.055,188.333 395.248,189.752 388.705,191.085 382.48,192.323 376.601,193.473 371.091,194.536 365.969,195.514 \n", " 361.245,196.411 356.921,197.234 352.996,197.991 349.458,198.692 346.29,199.35 343.471,199.979 340.989,200.582 338.828,201.165 336.97,201.733 335.397,202.29 \n", " 334.092,202.839 333.041,203.383 332.23,203.925 331.646,204.464 331.276,205.002 331.11,205.537 331.137,206.066 331.349,206.587 331.743,207.1 332.312,207.601 \n", " 333.054,208.089 333.965,208.559 335.045,209.008 336.292,209.431 337.706,209.823 339.289,210.178 341.044,210.493 342.977,210.765 345.092,210.989 347.397,211.161 \n", " 349.896,211.276 352.597,211.328 355.505,211.311 358.628,211.219 361.972,211.045 365.541,210.785 369.343,210.431 373.388,209.978 377.682,209.417 382.228,208.743 \n", " 387.024,207.951 392.065,207.035 397.342,205.992 402.842,204.817 408.546,203.509 414.434,202.063 420.477,200.481 426.633,198.769 432.848,196.934 439.063,194.991 \n", " 445.205,192.957 451.195,190.857 456.941,188.717 462.343,186.57 467.293,184.453 471.671,182.409 475.347,180.484 478.203,178.733 480.155,177.21 481.116,175.956 \n", " 481.021,175.003 479.835,174.374 477.548,174.085 474.178,174.142 469.769,174.546 464.391,175.288 458.142,176.349 451.159,177.68 443.614,179.205 435.66,180.873 \n", " 427.444,182.635 419.101,184.446 410.759,186.26 402.537,188.033 394.548,189.721 386.891,191.286 379.632,192.718 372.799,194.028 366.419,195.217 360.508,196.292 \n", " 355.073,197.26 350.114,198.131 345.62,198.92 341.573,199.642 337.943,200.315 334.704,200.955 331.841,201.568 329.328,202.162 327.14,202.745 325.255,203.322 \n", " 323.65,203.899 322.305,204.48 321.202,205.067 320.323,205.662 319.652,206.267 319.173,206.878 318.873,207.494 318.744,208.115 318.775,208.739 318.96,209.363 \n", " 319.292,209.984 319.765,210.6 320.375,211.205 321.12,211.796 321.998,212.369 323.012,212.922 324.162,213.451 325.452,213.953 326.886,214.424 328.468,214.862 \n", " 330.203,215.26 332.098,215.614 334.16,215.919 336.397,216.17 338.819,216.364 341.437,216.495 344.262,216.558 347.305,216.546 350.578,216.455 354.092,216.277 \n", " 357.859,216.004 361.892,215.629 366.197,215.146 370.782,214.547 375.665,213.821 380.861,212.958 386.376,211.948 392.211,210.785 398.357,209.462 404.8,207.975 \n", " 411.518,206.318 418.483,204.492 425.658,202.494 433.002,200.326 440.459,197.993 447.945,195.514 455.354,192.914 462.571,190.226 469.469,187.49 475.911,184.752 \n", " 481.75,182.067 486.825,179.495 490.966,177.105 493.994,174.972 495.758,173.183 496.171,171.799 495.175,170.856 492.748,170.376 488.905,170.37 483.695,170.835 \n", " 477.205,171.754 469.557,173.097 460.909,174.821 451.461,176.862 441.479,179.093 431.191,181.424 420.794,183.782 410.467,186.102 400.364,188.327 390.617,190.409 \n", " 381.335,192.309 372.603,194.001 364.456,195.5 356.91,196.819 349.969,197.974 343.628,198.981 337.873,199.861 332.68,200.635 328.014,201.329 323.834,201.968 \n", " 320.106,202.568 316.796,203.144 313.868,203.707 311.287,204.268 309.02,204.836 307.038,205.418 305.311,206.019 303.813,206.643 302.52,207.291 301.408,207.961 \n", " 300.459,208.655 299.654,209.371 298.979,210.108 298.419,210.864 297.96,211.636 297.591,212.421 297.302,213.214 297.084,214.015 296.931,214.821 296.838,215.629 \n", " 296.799,216.438 296.809,217.246 296.866,218.048 296.966,218.844 297.107,219.631 297.289,220.408 297.509,221.174 297.768,221.927 298.066,222.666 298.404,223.389 \n", " 298.782,224.094 299.201,224.782 299.665,225.451 300.174,226.1 300.733,226.728 301.344,227.334 302.01,227.916 302.737,228.475 303.527,229.007 304.388,229.513 \n", " 305.323,229.991 306.34,230.44 307.445,230.857 308.646,231.242 309.951,231.592 311.37,231.905 312.911,232.178 314.587,232.41 316.408,232.596 318.387,232.734 \n", " 320.538,232.819 322.877,232.847 325.419,232.812 328.184,232.71 331.188,232.533 334.452,232.276 337.998,231.931 341.843,231.49 346.015,230.942 350.543,230.276 \n", " 355.454,229.48 360.773,228.54 366.526,227.441 372.734,226.17 379.418,224.709 386.598,223.042 394.291,221.152 402.492,219.025 411.196,216.644 420.42,213.983 \n", " 430.145,211.027 440.323,207.772 450.869,204.223 461.666,200.4 472.564,196.329 483.38,192.051 493.895,187.616 503.896,183.085 513.072,178.584 521.027,174.267 \n", " 527.41,170.284 531.913,166.778 534.272,163.888 534.265,161.746 531.715,160.48 526.497,160.206 518.711,160.933 508.602,162.593 496.457,165.091 482.627,168.292 \n", " 467.522,172.022 451.611,176.073 435.407,180.202 419.301,184.229 403.612,188.014 388.603,191.452 374.462,194.474 361.308,197.047 349.189,199.178 338.112,200.898 \n", " 328.061,202.255 318.986,203.302 310.831,204.093 303.529,204.681 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"\\frac{dx}{dt} &= σ(y-x) \\\\\n", "\\frac{dy}{dt} &= x(ρ-z) - y \\\\\n", "\\frac{dz}{dt} &= xy - βz \\\\\n", "\\end{align}\n", "$$" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "(::LorenzExample) (generic function with 15 methods)" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "g = @ode_def LorenzExample begin\n", " dx = σ*(y-x)\n", " dy = x*(ρ-z) - y\n", " dz = x*y - β*z\n", "end σ ρ β\n", "p = [10.0,28.0,8/3]" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## DifferentialEquations.jl respects the user's input type\n" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n", "<svg 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text-anchor:start;\" transform=\"rotate(0, 541.696, 135.157)\" x=\"541.696\" y=\"135.157\">u7(t)</text>\n", "</g>\n", "<polyline clip-path=\"url(#clip00)\" style=\"stroke:#cc853f; stroke-width:2.4; stroke-opacity:1; fill:none\" points=\"\n", " 499.696,145.777 535.696,145.777 \n", " \"/>\n", "<g clip-path=\"url(#clip00)\">\n", "<text style=\"fill:#00002d; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:12; text-anchor:start;\" transform=\"rotate(0, 541.696, 150.277)\" x=\"541.696\" y=\"150.277\">u8(t)</text>\n", "</g>\n", "</svg>\n" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using StaticArrays, DifferentialEquations\n", "A = big.(@SMatrix [ 1.0 0.0 0.0 -5.0\n", " 4.0 -2.0 4.0 -3.0\n", " -4.0 0.0 0.0 1.0\n", " 5.0 -2.0 2.0 3.0])\n", "u0 = big.(@SMatrix rand(4,2))\n", "tspan = (0.0,1.0); f_SA(u,p,t) = A*u\n", "prob = ODEProblem(f_SA,u0,tspan); \n", "sol = solve(prob,Tsit5()); plot(sol)" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "1.0 s\n", "1.1813604129914028 N\n" ] }, { "data": { "text/html": [ "1.0869040537266441 N" ], "text/plain": [ "1.0869040537266441 N" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "using Unitful\n", "f_units(y,p,t) = 0.5*y / 3.0u\"s\"\n", "u0 = 1.0u\"N\"\n", "prob = ODEProblem(f_units,u0,(0.0u\"s\",1.0u\"s\"))\n", "sol =solve(prob,Tsit5());\n", "println(sol.t[end])\n", "println(sol[end])\n", "sol(0.5u\"s\")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "14.778112197857341\n", "14.7781121978613\n", "22.167168296786013\n", "22.16716829679195\n" ] } ], "source": [ "using DifferentialEquations, SymEngine\n", "y0 = symbols(:y0)\n", "u0 = y0\n", "f_sym(u,p,t) = 2u\n", "prob = ODEProblem(f_sym,u0,(0.0,1.0))\n", "sol = solve(prob,RK4(),dt=1/10);\n", "\n", "sol = solve(prob,RK4(),dt=1/1000)\n", "end_solution = lambdify(sol[end])\n", "\n", "println(end_solution(2)) # 14.778112197857341\n", "println(2exp(2)) # 14.7781121978613\n", "println(end_solution(3)) # 22.167168296786013\n", "println(3exp(2)) # 22.16716829679195" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## DifferentialEquations.jl is unique when speed matters\n", "\n", "DifferentialEquations.jl is a research lab which includes many new methods" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "using DifferentialEquations, Plots, ODEInterfaceDiffEq, ODE\n", "# 2D Linear ODE\n", "function test_f(du,u,p,t)\n", " for i in 1:length(u)\n", " du[i] = 1.01*u[i]\n", " end\n", "end\n", "function test_f(::Type{Val{:analytic}},u₀,p,t)\n", " u₀*exp(1.01*t)\n", "end\n", "tspan = (0.0,10.0)\n", "prob = ODEProblem(test_f,rand(100,100),tspan)\n", "\n", "abstols = 1./10.^(3:13)\n", "reltols = 1./10.^(0:10);\n", "setups = [Dict(:alg=>DP5())\n", " Dict(:alg=>ode45())\n", " Dict(:alg=>dopri5())\n", " Dict(:alg=>Tsit5())]\n", "names = [\"DifferentialEquations\";\"ODE\";\"ODEInterface\";\"DifferentialEquations Tsit5\"]\n", "wp = ode_workprecision_set(prob,abstols,reltols,setups;names=names,save_everystep=false);" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/html": [ "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n", "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 600 400\">\n", "<defs>\n", " <clipPath id=\"clip00\">\n", " <rect x=\"0\" y=\"0\" width=\"600\" height=\"400\"/>\n", " 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fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:16; text-anchor:middle;\" transform=\"rotate(-90, 14.4, 186.806)\" x=\"14.4\" y=\"186.806\">Time (s)</text>\n", "</g>\n", "<polyline clip-path=\"url(#clip02)\" style=\"stroke:#0099ff; stroke-width:2.4; stroke-opacity:1; fill:none\" points=\"\n", " 585.984,363.031 575.215,366.301 533.893,354.581 422.419,340.075 431.693,316.515 392.52,293.131 348.26,267.517 302.903,224.004 256.681,206.866 210.078,186.91 \n", " 163.398,159.96 \n", " \"/>\n", "<polyline clip-path=\"url(#clip02)\" style=\"stroke:#e9746a; stroke-width:2.4; stroke-opacity:1; fill:none\" points=\"\n", " 546.239,286.132 435.418,260.889 430.195,230.482 388.547,198.727 343.562,169.96 297.433,133.191 250.859,110.553 204.151,87.893 157.325,54.5759 110.416,30.8971 \n", " 63.6592,3.93701 \n", " \"/>\n", "<polyline clip-path=\"url(#clip02)\" style=\"stroke:#3cb370; stroke-width:2.4; stroke-opacity:1; fill:none\" points=\"\n", " 596.063,328.758 576.363,326.459 530.727,310.628 411.373,290.845 431.581,267.044 392.62,238.956 348.318,211.655 302.852,178.352 256.651,143.718 210.1,75.7899 \n", " 163.387,44.5962 \n", " \"/>\n", "<polyline clip-path=\"url(#clip02)\" style=\"stroke:#d96fd5; stroke-width:2.4; stroke-opacity:1; fill:none\" points=\"\n", " 555.663,369.674 533.523,367.501 500.743,351.595 455.525,334.505 404.411,316.463 342.554,296.017 232.856,273.044 238.935,248.914 202.637,223.457 160.419,196.595 \n", " 115.927,170.072 \n", " \"/>\n", "<polygon clip-path=\"url(#clip00)\" points=\"\n", "379.74,100.417 578.063,100.417 578.063,24.817 379.74,24.817 \n", " \" fill=\"#ffffff\" fill-opacity=\"1\"/>\n", "<polyline clip-path=\"url(#clip00)\" style=\"stroke:#00002d; stroke-width:0.8; stroke-opacity:1; fill:none\" points=\"\n", " 379.74,100.417 578.063,100.417 578.063,24.817 379.74,24.817 379.74,100.417 \n", " \"/>\n", "<polyline clip-path=\"url(#clip00)\" style=\"stroke:#0099ff; stroke-width:2.4; stroke-opacity:1; fill:none\" points=\"\n", " 385.74,39.937 421.74,39.937 \n", " \"/>\n", "<g clip-path=\"url(#clip00)\">\n", "<text style=\"fill:#00002d; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:12; text-anchor:start;\" transform=\"rotate(0, 427.74, 44.437)\" x=\"427.74\" y=\"44.437\">DifferentialEquations</text>\n", "</g>\n", "<polyline clip-path=\"url(#clip00)\" style=\"stroke:#e9746a; stroke-width:2.4; stroke-opacity:1; fill:none\" points=\"\n", " 385.74,55.057 421.74,55.057 \n", " \"/>\n", "<g clip-path=\"url(#clip00)\">\n", "<text style=\"fill:#00002d; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:12; text-anchor:start;\" transform=\"rotate(0, 427.74, 59.557)\" x=\"427.74\" y=\"59.557\">ODE</text>\n", "</g>\n", "<polyline clip-path=\"url(#clip00)\" style=\"stroke:#3cb370; stroke-width:2.4; stroke-opacity:1; fill:none\" points=\"\n", " 385.74,70.177 421.74,70.177 \n", " \"/>\n", "<g clip-path=\"url(#clip00)\">\n", "<text style=\"fill:#00002d; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:12; text-anchor:start;\" transform=\"rotate(0, 427.74, 74.677)\" x=\"427.74\" y=\"74.677\">ODEInterface</text>\n", "</g>\n", "<polyline clip-path=\"url(#clip00)\" style=\"stroke:#d96fd5; stroke-width:2.4; stroke-opacity:1; fill:none\" points=\"\n", " 385.74,85.297 421.74,85.297 \n", " \"/>\n", "<g clip-path=\"url(#clip00)\">\n", "<text style=\"fill:#00002d; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:12; text-anchor:start;\" transform=\"rotate(0, 427.74, 89.797)\" x=\"427.74\" y=\"89.797\">DifferentialEquations Tsit5</text>\n", "</g>\n", "</svg>\n" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot(wp)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Callbacks and Event Handling\n", "\n", "You can directly apply dynamic behavior to an ODE through its callbacks and event handling" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "function b_condition(u,t,integrator) # Event when event_f(t,u) == 0\n", " u[1]\n", "end\n", "\n", "function b_affect!(integrator)\n", " integrator.u[2] = -integrator.u[2]\n", "end\n", "\n", "cb = ContinuousCallback(b_condition,b_affect!)\n", "\n", "bb = @ode_def_bare BallBounce begin\n", " dy = v\n", " dv = -g\n", "end g=9.81\n", "\n", "u0 = [50.0,0.0]\n", "tspan = (0.0,15.0)\n", "prob = ODEProblem(bb,u0,tspan)\n", "sol = solve(prob,Tsit5(),callback=cb);" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/html": [ "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n", "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 600 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clip-path=\"url(#clip00)\">\n", "<text style=\"fill:#00002d; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:12; text-anchor:start;\" transform=\"rotate(0, 548.949, 59.557)\" x=\"548.949\" y=\"59.557\">v(t)</text>\n", "</g>\n", "</svg>\n" ] }, "execution_count": 17, "metadata": {}, "output_type": "execute_result" } ], "source": [ "plot(sol,plotdensity=1000)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Pretty much anything can be changed with the integrator\n", "\n", "Let's model a growing cell population\n", "\n", "- Each cell has an internal protein `X`\n", "- When the concentration of `X` hits 1, the cell divides\n", "- When there are more cells, there is less food and so `X` is created less rapidly" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "using DifferentialEquations, Plots\n", "function growth(du,u,p,t)\n", " for i in 1:length(u)\n", " du[i] = 0.3u[i]/length(u)\n", " end\n", "end\n", "\n", "function condition(u,t,integrator) # Event when event_f(t,u) == 0\n", " 1-maximum(u)\n", "end\n", "\n", "function affect!(integrator)\n", " u = integrator.u\n", " resize!(integrator,length(u)+1)\n", " maxidx = findmax(u)[2]\n", " Θ = rand()\n", " u[maxidx] = Θ\n", " u[end] = 1-Θ\n", " length(u) == 10 && terminate!(integrator)\n", " nothing\n", "end\n", "\n", "callback = ContinuousCallback(condition,affect!)\n", "u0 = [0.2]\n", "tspan = (0.0,100.0)\n", "prob = ODEProblem(growth,u0,tspan)\n", "sol = solve(prob,callback=callback);" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/html": [ "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n", "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 600 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interactions\n", "- Speed, control, adaptivity, plotting, etc. then all comes for free!\n", "\n", "This leads to more sustainable scientific software development:\n", "\n", "- Many scientific projects develop their own internal solvers for their models\n", " - This requires a lot of extra time!\n", " - How well tested is it? How well optimized is it? How maintainable is it?\n", " - Is it using all of the latest PI-stepsize adaptivity? Verner's coefficients? etc.?\n", "- DifferentialEquations.jl is thus ideal as a core engine in complex models\n", " - Developer-friendly dependency management, MIT licensed\n", " - Active developer channels (Gitter, or anywhere...)\n", " " ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Example: Multiscale Biological Models\n", "\n", "<center><img src=\"https://user-images.githubusercontent.com/1814174/27211626-79fe1b9a-520f-11e7-87f1-1cb33da91609.PNG\"></center>" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "collapsed": true, "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "using MultiScaleArrays\n", "using OrdinaryDiffEq, DiffEqBase, StochasticDiffEq\n", "\n", "# Define a hierarchy\n", "\n", "immutable Cell{B} <: AbstractMultiScaleArrayLeaf{B}\n", " x::Vector{B}\n", "end\n", "immutable Population{T<:AbstractMultiScaleArray,B<:Number} <: AbstractMultiScaleArray{B}\n", " x::Vector{T}\n", " y::Vector{B}\n", " end_idxs::Vector{Int}\n", "end\n", "immutable Tissue{T<:AbstractMultiScaleArray,B<:Number} <: AbstractMultiScaleArray{B}\n", " x::Vector{T}\n", " y::Vector{B}\n", " end_idxs::Vector{Int}\n", "end\n", "immutable Embryo{T<:AbstractMultiScaleArray,B<:Number} <: AbstractMultiScaleArrayHead{B}\n", " x::Vector{T}\n", " y::Vector{B}\n", " end_idxs::Vector{Int}\n", "end" ] }, { "cell_type": "code", "execution_count": 22, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [], "source": [ "cell1 = Cell([1.0;2.0;3.0])\n", "cell2 = Cell([4.0;5])\n", "population = construct(Population,deepcopy([cell1,cell2])) # Make a Population from cells\n", "cell3 = Cell([3.0;2.0;5.0])\n", "cell4 = Cell([4.0;6])\n", "population2 = construct(Population,deepcopy([cell3,cell4]))\n", "tissue1 = construct(Tissue,deepcopy([population,population2])) # Make a Tissue from Populations\n", "tissue2 = construct(Tissue,deepcopy([population2,population]))\n", "embryo = construct(Embryo,deepcopy([tissue1,tissue2])); # Make an embryo from Tissues" ] }, { "cell_type": "code", "execution_count": 23, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/plain": [ "Embryo{Tissue{Population{Cell{Float64},Float64},Float64},Float64}(Tissue{Population{Cell{Float64},Float64},Float64}[Tissue{Population{Cell{Float64},Float64},Float64}(Population{Cell{Float64},Float64}[Population{Cell{Float64},Float64}(Cell{Float64}[Cell{Float64}([0.290911,0.581821,0.872732]),Cell{Float64}([1.16364,1.45455]),Cell{Float64}([0.0,0.0,0.0])],Float64[],[3,5,8]),Population{Cell{Float64},Float64}(Cell{Float64}[Cell{Float64}([0.600023,0.400015,1.00004]),Cell{Float64}([0.80003,1.20005])],Float64[],[3,5])],Float64[],[8,13]),Tissue{Population{Cell{Float64},Float64},Float64}(Population{Cell{Float64},Float64}[Population{Cell{Float64},Float64}(Cell{Float64}[Cell{Float64}([0.600023,0.400015,1.00004]),Cell{Float64}([0.80003,1.20005])],Float64[],[3,5]),Population{Cell{Float64},Float64}(Cell{Float64}[Cell{Float64}([0.250004,0.500008,0.750013]),Cell{Float64}([1.00002,1.25002])],Float64[],[3,5])],Float64[],[5,10])],Float64[],[13,23])" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function cell_ode(dcell,cell,p,t)\n", " m = mean(cell)\n", " for i in eachindex(cell)\n", " dcell[i] = -m*cell[i]\n", " end\n", "end\n", "function embryo_ode(dembryo,embryo,p,t)\n", " for (cell,y,z) in LevelIterIdx(embryo,2)\n", " cell_ode(@view dembryo[y:z],cell,p,t)\n", " end\n", "end\n", "\n", "# Have a cell divide at t=0.5\n", "tstop = [0.5]\n", "function grow_condition(u,t,integrator)\n", " t ∈ tstop\n", "end\n", "function grow_affect!(integrator)\n", " add_daughter!(integrator,integrator.u[1,1,1],1,1)\n", "end\n", "growing_cb = DiscreteCallback(grow_condition,grow_affect!)\n", "\n", "prob = ODEProblem(embryo_ode,embryo,(0.0,1.0));\n", "sol = solve(prob,Tsit5(),callback=growing_cb,tstops=tstop)\n", "\n", "sol[end]" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "# That's the simulation of deterministic models\n", "\n", "## Let's add stochasticity" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Stochastic Differential Equations\n", "\n", "$$ du = f(t,u)dt + \\sum_i g_i(t,u)dW^i $$\n", "\n", "- The $f$ term is the deterministic or \"drift\" term\n", "- The $g$ term is the noise or \"diffusion term\n", "\n", "Well-known model: the Black-Scholes Model \n", "\n", "- My stock is growing at an average rate of 101%\n", "- However, the value of my money has fluctuatations of 87% of its current value\n", "\n", "$$ du = 1.01u + 0.87dW_t $$" ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/html": [ "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n", "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 600 400\">\n", "<defs>\n", " <clipPath id=\"clip00\">\n", " <rect x=\"0\" y=\"0\" width=\"600\" height=\"400\"/>\n", " </clipPath>\n", "</defs>\n", "<polygon clip-path=\"url(#clip00)\" points=\"\n", "0,400 600,400 600,0 0,0 \n", " \" fill=\"#ffffff\" fill-opacity=\"1\"/>\n", "<defs>\n", " <clipPath id=\"clip01\">\n", " <rect x=\"120\" y=\"0\" width=\"421\" height=\"400\"/>\n", " </clipPath>\n", "</defs>\n", "<polygon clip-path=\"url(#clip00)\" points=\"\n", "30.6037,369.674 596.063,369.674 596.063,3.93701 30.6037,3.93701 \n", " \" fill=\"#ffffff\" fill-opacity=\"1\"/>\n", "<defs>\n", " <clipPath id=\"clip02\">\n", " <rect x=\"30\" y=\"3\" width=\"566\" height=\"366\"/>\n", " </clipPath>\n", "</defs>\n", "<polyline clip-path=\"url(#clip02)\" style=\"stroke:#00002d; 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gr()\n", "α=1.01; β=0.87; u₀=1.0\n", "bs_f(u,p,t) = α*u\n", "bs_g(u,p,t) = β*u\n", "bs_f(::Type{Val{:analytic}},u₀,p,t,W) = u₀*exp((α-(β^2)/2)*t+β*W)\n", "prob = SDEProblem(bs_f,bs_g,u₀,(0.0,1.0))\n", "sol = solve(prob,EM(),dt=1/2^(4))\n", "plot(sol,plot_analytic=true)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Fast adaptive methods are unique to DifferentialEquations.jl\n" ] }, { "cell_type": "code", "execution_count": 25, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/html": [ "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n", "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 600 400\">\n", "<defs>\n", " <clipPath id=\"clip00\">\n", " <rect x=\"0\" y=\"0\" width=\"600\" height=\"400\"/>\n", " </clipPath>\n", "</defs>\n", "<polygon clip-path=\"url(#clip00)\" points=\"\n", "0,400 600,400 600,0 0,0 \n", " \" fill=\"#ffffff\" fill-opacity=\"1\"/>\n", "<defs>\n", " <clipPath id=\"clip01\">\n", " <rect x=\"120\" y=\"0\" width=\"421\" height=\"400\"/>\n", " </clipPath>\n", "</defs>\n", "<polygon clip-path=\"url(#clip00)\" points=\"\n", "12.8259,369.674 596.063,369.674 596.063,3.93701 12.8259,3.93701 \n", " \" fill=\"#ffffff\" fill-opacity=\"1\"/>\n", "<defs>\n", " <clipPath id=\"clip02\">\n", " <rect x=\"12\" y=\"3\" width=\"584\" height=\"366\"/>\n", " </clipPath>\n", "</defs>\n", "<polyline clip-path=\"url(#clip02)\" style=\"stroke:#00002d; 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Even those that can are faster with them.\n", "\n", "<center><img src=\"https://user-images.githubusercontent.com/1814174/27208182-0d0ddc70-51f9-11e7-8750-9c94dce654a3.png\"></center>" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Gillespie Simulations\n", "\n", "Gillespie simulations are discrete models which change stochastically over time.\n", "\n", "- A protein binds to DNA at a rate X\n", "- A protein is created at a rate Y\n", "\n", "These types of models are related to differential equations\n", "\n", "- When the number of objects gets high, it converges for an SDE on the concentrations\n", "- When the number gets really high, it converges to a deterministic ODE" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/plain": [ "DiffEqJump.JumpProblem{P,A,C,J<:Union{DiffEqJump.AbstractJumpAggregator,Void},J2} with problem DiffEqBase.DiscreteProblem{uType,tType,isinplace,F,C} and aggregator DiffEqJump.Direct\n", "Number of constant rate jumps: 2\n", "Number of variable rate jumps: 0\n" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "prob = DiscreteProblem([100,1,0],(0.0,100.0))\n", "\n", "rate = (u,p,t) -> (0.1/100.0)*u[1]*u[2]\n", "jump_affect! = function (integrator)\n", " integrator.u[1] -= 1\n", " integrator.u[2] += 1\n", "end\n", "jump = ConstantRateJump(rate,jump_affect!)\n", "\n", "rate = (u,p,t) -> 0.01u[2]\n", "jump_affect! = function (integrator)\n", " integrator.u[2] -= 1\n", " integrator.u[3] += 1\n", "end\n", "jump2 = ConstantRateJump(rate,jump_affect!)\n", "jump_prob = JumpProblem(prob,Direct(),jump,jump2)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/html": [ "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n", "<svg 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237.604,25.8812 237.648,25.8812 237.692,25.8812 237.736,25.8812 237.779,25.8812 237.823,25.8812 237.867,25.8812 237.911,25.8812 \n", " 237.955,25.8812 237.999,25.8812 238.043,25.8812 238.086,25.8812 238.13,25.8812 238.174,25.8812 238.218,25.8812 238.262,25.8812 238.306,25.8812 238.349,25.8812 \n", " 238.393,25.8812 238.437,25.8812 238.481,25.8812 238.525,25.8812 238.569,25.8812 238.612,25.8812 238.656,25.8812 238.7,25.8812 238.744,25.8812 238.788,25.8812 \n", " 238.832,25.8812 238.875,29.5386 238.919,29.5386 238.963,29.5386 239.007,29.5386 239.051,29.5386 239.095,29.5386 239.138,29.5386 239.182,29.5386 239.226,29.5386 \n", " 239.27,29.5386 239.314,29.5386 239.358,29.5386 239.401,29.5386 239.445,29.5386 239.489,29.5386 239.533,29.5386 239.577,29.5386 239.621,29.5386 239.664,29.5386 \n", " 239.708,29.5386 239.752,29.5386 239.796,29.5386 239.84,29.5386 239.884,29.5386 239.928,29.5386 239.971,29.5386 240.015,29.5386 240.059,29.5386 240.103,29.5386 \n", " 240.147,29.5386 240.191,29.5386 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245.539,33.196 245.583,33.196 245.626,33.196 245.67,33.196 245.714,33.196 245.758,33.196 245.802,33.196 \n", " 245.846,33.196 245.889,33.196 245.933,33.196 245.977,33.196 246.021,33.196 246.065,33.196 246.109,33.196 246.152,33.196 246.196,33.196 246.24,33.196 \n", " 246.284,33.196 246.328,33.196 246.372,33.196 246.415,33.196 246.459,33.196 246.503,33.196 246.547,33.196 246.591,33.196 246.635,33.196 246.678,33.196 \n", " 246.722,33.196 246.766,33.196 246.81,33.196 246.854,33.196 246.898,33.196 246.942,33.196 246.985,33.196 247.029,33.196 247.073,33.196 247.117,33.196 \n", " 247.161,33.196 247.205,33.196 247.248,33.196 247.292,33.196 247.336,33.196 247.38,33.196 247.424,33.196 247.468,33.196 247.511,33.196 247.555,33.196 \n", " 247.599,33.196 247.643,33.196 247.687,33.196 247.731,33.196 247.774,33.196 247.818,33.196 247.862,33.196 247.906,33.196 247.95,33.196 247.994,33.196 \n", " 248.037,33.196 248.081,33.196 248.125,33.196 248.169,33.196 248.213,33.196 248.257,33.196 248.3,33.196 248.344,33.196 248.388,33.196 248.432,33.196 \n", " 248.476,33.196 248.52,33.196 248.563,33.196 248.607,33.196 248.651,33.196 248.695,33.196 248.739,33.196 248.783,33.196 248.827,33.196 248.87,33.196 \n", " 248.914,33.196 248.958,33.196 249.002,33.196 249.046,33.196 249.09,33.196 249.133,33.196 249.177,33.196 249.221,33.196 249.265,33.196 249.309,33.196 \n", " 249.353,33.196 249.396,33.196 249.44,33.196 249.484,33.196 249.528,33.196 249.572,33.196 249.616,33.196 249.659,36.8533 249.703,36.8533 249.747,36.8533 \n", " 249.791,36.8533 249.835,36.8533 249.879,36.8533 249.922,36.8533 249.966,36.8533 250.01,36.8533 250.054,36.8533 250.098,36.8533 250.142,36.8533 250.185,36.8533 \n", " 250.229,36.8533 250.273,36.8533 250.317,36.8533 250.361,36.8533 250.405,36.8533 250.449,36.8533 250.492,36.8533 250.536,36.8533 250.58,36.8533 250.624,36.8533 \n", " 250.668,36.8533 250.712,36.8533 250.755,36.8533 250.799,36.8533 250.843,36.8533 250.887,36.8533 250.931,36.8533 250.975,36.8533 251.018,36.8533 251.062,36.8533 \n", " 251.106,36.8533 251.15,36.8533 251.194,36.8533 251.238,36.8533 251.281,36.8533 251.325,36.8533 251.369,36.8533 251.413,36.8533 251.457,36.8533 251.501,36.8533 \n", " 251.544,36.8533 251.588,36.8533 251.632,36.8533 251.676,36.8533 251.72,36.8533 251.764,36.8533 251.807,36.8533 251.851,36.8533 251.895,36.8533 251.939,36.8533 \n", " 251.983,36.8533 252.027,36.8533 252.07,36.8533 252.114,36.8533 252.158,36.8533 252.202,36.8533 252.246,36.8533 252.29,36.8533 252.334,36.8533 252.377,36.8533 \n", " 252.421,36.8533 252.465,36.8533 252.509,36.8533 252.553,36.8533 252.597,36.8533 252.64,36.8533 252.684,36.8533 252.728,36.8533 252.772,36.8533 252.816,36.8533 \n", " 252.86,36.8533 252.903,36.8533 252.947,36.8533 252.991,36.8533 253.035,36.8533 253.079,40.5107 253.123,40.5107 253.166,40.5107 253.21,40.5107 253.254,40.5107 \n", " 253.298,40.5107 253.342,40.5107 253.386,40.5107 253.429,40.5107 253.473,40.5107 253.517,40.5107 253.561,40.5107 253.605,40.5107 253.649,40.5107 253.692,40.5107 \n", " 253.736,40.5107 253.78,40.5107 253.824,40.5107 253.868,40.5107 253.912,40.5107 253.956,40.5107 253.999,40.5107 254.043,40.5107 254.087,40.5107 254.131,40.5107 \n", " 254.175,40.5107 254.219,40.5107 254.262,40.5107 254.306,40.5107 254.35,40.5107 254.394,40.5107 254.438,40.5107 254.482,40.5107 254.525,40.5107 254.569,40.5107 \n", " 254.613,40.5107 254.657,40.5107 254.701,40.5107 254.745,40.5107 254.788,40.5107 254.832,40.5107 254.876,40.5107 254.92,40.5107 254.964,40.5107 255.008,40.5107 \n", " 255.051,40.5107 255.095,40.5107 255.139,40.5107 255.183,40.5107 255.227,40.5107 255.271,40.5107 255.314,40.5107 255.358,40.5107 255.402,40.5107 255.446,40.5107 \n", " 255.49,40.5107 255.534,40.5107 255.577,40.5107 255.621,40.5107 255.665,40.5107 255.709,40.5107 255.753,40.5107 255.797,40.5107 255.841,40.5107 255.884,40.5107 \n", " 255.928,40.5107 255.972,40.5107 256.016,40.5107 256.06,40.5107 256.104,40.5107 256.147,40.5107 256.191,40.5107 256.235,40.5107 256.279,40.5107 256.323,40.5107 \n", " 256.367,40.5107 256.41,40.5107 256.454,40.5107 256.498,40.5107 256.542,40.5107 256.586,40.5107 256.63,40.5107 256.673,40.5107 256.717,40.5107 256.761,40.5107 \n", " 256.805,40.5107 256.849,44.1681 256.893,44.1681 256.936,44.1681 256.98,44.1681 257.024,44.1681 257.068,44.1681 257.112,44.1681 257.156,44.1681 257.199,44.1681 \n", " 257.243,44.1681 257.287,44.1681 257.331,44.1681 257.375,44.1681 257.419,44.1681 257.462,44.1681 257.506,44.1681 257.55,44.1681 257.594,44.1681 257.638,44.1681 \n", " 257.682,44.1681 257.726,44.1681 257.769,44.1681 257.813,44.1681 257.857,44.1681 257.901,44.1681 257.945,44.1681 257.989,44.1681 258.032,44.1681 258.076,44.1681 \n", " 258.12,44.1681 258.164,44.1681 258.208,44.1681 258.252,44.1681 258.295,44.1681 258.339,44.1681 258.383,44.1681 258.427,44.1681 258.471,44.1681 258.515,44.1681 \n", " 258.558,44.1681 258.602,44.1681 258.646,44.1681 258.69,44.1681 258.734,44.1681 258.778,44.1681 258.821,44.1681 258.865,44.1681 258.909,44.1681 258.953,44.1681 \n", " 258.997,44.1681 259.041,44.1681 259.084,44.1681 259.128,44.1681 259.172,44.1681 259.216,44.1681 259.26,44.1681 259.304,44.1681 259.348,44.1681 259.391,44.1681 \n", " 259.435,44.1681 259.479,44.1681 259.523,44.1681 259.567,44.1681 259.611,44.1681 259.654,44.1681 259.698,44.1681 259.742,44.1681 259.786,44.1681 259.83,44.1681 \n", " 259.874,44.1681 259.917,44.1681 259.961,44.1681 260.005,44.1681 260.049,44.1681 260.093,44.1681 260.137,44.1681 260.18,44.1681 260.224,44.1681 260.268,44.1681 \n", " 260.312,44.1681 260.356,44.1681 260.4,44.1681 260.443,47.8255 260.487,47.8255 260.531,47.8255 260.575,47.8255 260.619,47.8255 260.663,47.8255 260.706,47.8255 \n", " 260.75,47.8255 260.794,47.8255 260.838,47.8255 260.882,47.8255 260.926,47.8255 260.969,47.8255 261.013,47.8255 261.057,47.8255 261.101,47.8255 261.145,47.8255 \n", " 261.189,47.8255 261.233,47.8255 261.276,47.8255 261.32,47.8255 261.364,47.8255 261.408,47.8255 261.452,47.8255 261.496,47.8255 261.539,47.8255 261.583,47.8255 \n", " 261.627,47.8255 261.671,47.8255 261.715,47.8255 261.759,47.8255 261.802,47.8255 261.846,47.8255 261.89,47.8255 261.934,47.8255 261.978,47.8255 262.022,47.8255 \n", " 262.065,47.8255 262.109,47.8255 262.153,47.8255 262.197,47.8255 262.241,47.8255 262.285,47.8255 262.328,47.8255 262.372,47.8255 262.416,47.8255 262.46,51.4828 \n", " 262.504,51.4828 262.548,51.4828 262.591,51.4828 262.635,51.4828 262.679,51.4828 262.723,51.4828 262.767,51.4828 262.811,51.4828 262.855,51.4828 262.898,51.4828 \n", " 262.942,51.4828 262.986,51.4828 263.03,51.4828 263.074,51.4828 263.118,51.4828 263.161,51.4828 263.205,51.4828 263.249,51.4828 263.293,51.4828 263.337,51.4828 \n", " 263.381,51.4828 263.424,51.4828 263.468,51.4828 263.512,51.4828 263.556,51.4828 263.6,51.4828 263.644,51.4828 263.687,51.4828 263.731,51.4828 263.775,51.4828 \n", " 263.819,51.4828 263.863,51.4828 263.907,51.4828 263.95,51.4828 263.994,51.4828 264.038,51.4828 264.082,51.4828 264.126,51.4828 264.17,51.4828 264.213,51.4828 \n", " 264.257,51.4828 264.301,51.4828 264.345,51.4828 264.389,51.4828 264.433,51.4828 264.476,51.4828 264.52,51.4828 264.564,51.4828 264.608,51.4828 264.652,51.4828 \n", " 264.696,51.4828 264.74,51.4828 264.783,51.4828 264.827,51.4828 264.871,51.4828 264.915,51.4828 264.959,51.4828 265.003,51.4828 265.046,51.4828 265.09,51.4828 \n", " 265.134,51.4828 265.178,51.4828 265.222,51.4828 265.266,51.4828 265.309,51.4828 265.353,51.4828 265.397,51.4828 265.441,51.4828 265.485,51.4828 265.529,51.4828 \n", " 265.572,51.4828 265.616,51.4828 265.66,51.4828 265.704,51.4828 265.748,51.4828 265.792,51.4828 265.835,51.4828 265.879,51.4828 265.923,51.4828 265.967,51.4828 \n", " 266.011,51.4828 266.055,51.4828 266.098,51.4828 266.142,51.4828 266.186,51.4828 266.23,51.4828 266.274,51.4828 266.318,51.4828 266.362,51.4828 266.405,51.4828 \n", " 266.449,51.4828 266.493,51.4828 266.537,51.4828 266.581,51.4828 266.625,51.4828 266.668,51.4828 266.712,51.4828 266.756,51.4828 266.8,51.4828 266.844,51.4828 \n", " 266.888,51.4828 266.931,51.4828 266.975,51.4828 267.019,55.1402 267.063,55.1402 267.107,55.1402 267.151,55.1402 267.194,55.1402 267.238,55.1402 267.282,55.1402 \n", " 267.326,55.1402 267.37,55.1402 267.414,55.1402 267.457,55.1402 267.501,55.1402 267.545,55.1402 267.589,55.1402 267.633,55.1402 267.677,55.1402 267.72,55.1402 \n", " 267.764,55.1402 267.808,55.1402 267.852,55.1402 267.896,55.1402 267.94,55.1402 267.983,55.1402 268.027,55.1402 268.071,55.1402 268.115,55.1402 268.159,55.1402 \n", " 268.203,55.1402 268.247,55.1402 268.29,55.1402 268.334,55.1402 268.378,55.1402 268.422,55.1402 268.466,55.1402 268.51,55.1402 268.553,55.1402 268.597,55.1402 \n", " 268.641,55.1402 268.685,55.1402 268.729,55.1402 268.773,55.1402 268.816,55.1402 268.86,55.1402 268.904,55.1402 268.948,55.1402 268.992,55.1402 269.036,55.1402 \n", " 269.079,55.1402 269.123,55.1402 269.167,55.1402 269.211,55.1402 269.255,55.1402 269.299,55.1402 269.342,55.1402 269.386,55.1402 269.43,55.1402 269.474,55.1402 \n", " 269.518,55.1402 269.562,55.1402 269.605,55.1402 269.649,55.1402 269.693,55.1402 269.737,55.1402 269.781,55.1402 269.825,55.1402 269.868,55.1402 269.912,55.1402 \n", " 269.956,55.1402 270,55.1402 270.044,55.1402 270.088,55.1402 270.132,55.1402 270.175,55.1402 270.219,55.1402 270.263,55.1402 270.307,55.1402 270.351,55.1402 \n", " 270.395,55.1402 270.438,55.1402 270.482,55.1402 270.526,55.1402 270.57,55.1402 270.614,55.1402 270.658,55.1402 270.701,55.1402 270.745,55.1402 270.789,55.1402 \n", " 270.833,55.1402 270.877,55.1402 270.921,55.1402 270.964,55.1402 271.008,55.1402 271.052,55.1402 271.096,55.1402 271.14,55.1402 271.184,55.1402 271.227,55.1402 \n", " 271.271,55.1402 271.315,55.1402 271.359,55.1402 271.403,55.1402 271.447,55.1402 271.49,55.1402 271.534,55.1402 271.578,55.1402 271.622,55.1402 271.666,55.1402 \n", " 271.71,55.1402 271.754,55.1402 271.797,55.1402 271.841,55.1402 271.885,55.1402 271.929,55.1402 271.973,55.1402 272.017,55.1402 272.06,55.1402 272.104,58.7976 \n", " 272.148,58.7976 272.192,58.7976 272.236,58.7976 272.28,58.7976 272.323,58.7976 272.367,58.7976 272.411,58.7976 272.455,58.7976 272.499,58.7976 272.543,58.7976 \n", " 272.586,58.7976 272.63,58.7976 272.674,58.7976 272.718,58.7976 272.762,58.7976 272.806,58.7976 272.849,58.7976 272.893,58.7976 272.937,58.7976 272.981,58.7976 \n", " 273.025,58.7976 273.069,58.7976 273.112,58.7976 273.156,58.7976 273.2,58.7976 273.244,58.7976 273.288,58.7976 273.332,58.7976 273.375,58.7976 273.419,58.7976 \n", " 273.463,58.7976 273.507,58.7976 273.551,58.7976 273.595,58.7976 273.639,58.7976 273.682,58.7976 273.726,58.7976 273.77,58.7976 273.814,58.7976 273.858,58.7976 \n", " 273.902,58.7976 273.945,58.7976 273.989,58.7976 274.033,58.7976 274.077,58.7976 274.121,58.7976 274.165,58.7976 274.208,58.7976 274.252,58.7976 274.296,58.7976 \n", " 274.34,58.7976 274.384,58.7976 274.428,58.7976 274.471,58.7976 274.515,58.7976 274.559,58.7976 274.603,58.7976 274.647,58.7976 274.691,58.7976 274.734,58.7976 \n", " 274.778,58.7976 274.822,58.7976 274.866,58.7976 274.91,58.7976 274.954,58.7976 274.997,58.7976 275.041,58.7976 275.085,58.7976 275.129,58.7976 275.173,58.7976 \n", " 275.217,58.7976 275.261,58.7976 275.304,58.7976 275.348,58.7976 275.392,58.7976 275.436,58.7976 275.48,58.7976 275.524,58.7976 275.567,58.7976 275.611,58.7976 \n", " 275.655,58.7976 275.699,58.7976 275.743,58.7976 275.787,58.7976 275.83,58.7976 275.874,58.7976 275.918,58.7976 275.962,58.7976 276.006,58.7976 276.05,58.7976 \n", " 276.093,58.7976 276.137,58.7976 276.181,58.7976 276.225,58.7976 276.269,58.7976 276.313,58.7976 276.356,58.7976 276.4,58.7976 276.444,58.7976 276.488,58.7976 \n", " 276.532,58.7976 276.576,58.7976 276.619,58.7976 276.663,58.7976 276.707,58.7976 276.751,58.7976 276.795,58.7976 276.839,58.7976 276.882,58.7976 276.926,58.7976 \n", " 276.97,58.7976 277.014,58.7976 277.058,58.7976 277.102,58.7976 277.146,58.7976 277.189,58.7976 277.233,58.7976 277.277,58.7976 277.321,58.7976 277.365,58.7976 \n", " 277.409,58.7976 277.452,58.7976 277.496,58.7976 277.54,58.7976 277.584,58.7976 277.628,58.7976 277.672,58.7976 277.715,58.7976 277.759,58.7976 277.803,58.7976 \n", " 277.847,58.7976 277.891,58.7976 277.935,58.7976 277.978,58.7976 278.022,58.7976 278.066,58.7976 278.11,58.7976 278.154,58.7976 278.198,58.7976 278.241,58.7976 \n", " 278.285,58.7976 278.329,58.7976 278.373,58.7976 278.417,58.7976 278.461,58.7976 278.504,58.7976 278.548,58.7976 278.592,58.7976 278.636,58.7976 278.68,58.7976 \n", " 278.724,58.7976 278.768,58.7976 278.811,58.7976 278.855,58.7976 278.899,58.7976 278.943,58.7976 278.987,58.7976 279.031,58.7976 279.074,58.7976 279.118,58.7976 \n", " 279.162,58.7976 279.206,58.7976 279.25,58.7976 279.294,58.7976 279.337,58.7976 279.381,58.7976 279.425,58.7976 279.469,58.7976 279.513,58.7976 279.557,58.7976 \n", " 279.6,58.7976 279.644,58.7976 279.688,58.7976 279.732,58.7976 279.776,58.7976 279.82,58.7976 279.863,58.7976 279.907,58.7976 279.951,58.7976 279.995,58.7976 \n", " 280.039,58.7976 280.083,58.7976 280.126,58.7976 280.17,58.7976 280.214,58.7976 280.258,58.7976 280.302,58.7976 280.346,58.7976 280.389,58.7976 280.433,58.7976 \n", " 280.477,58.7976 280.521,58.7976 280.565,58.7976 280.609,58.7976 280.653,58.7976 280.696,58.7976 280.74,58.7976 280.784,58.7976 280.828,58.7976 280.872,58.7976 \n", " 280.916,58.7976 280.959,58.7976 281.003,58.7976 281.047,58.7976 281.091,58.7976 281.135,58.7976 281.179,58.7976 281.222,58.7976 281.266,58.7976 281.31,58.7976 \n", " 281.354,58.7976 281.398,58.7976 281.442,58.7976 281.485,58.7976 281.529,58.7976 281.573,58.7976 281.617,58.7976 281.661,58.7976 281.705,58.7976 281.748,58.7976 \n", " 281.792,58.7976 281.836,58.7976 281.88,58.7976 281.924,58.7976 281.968,58.7976 282.011,58.7976 282.055,58.7976 282.099,58.7976 282.143,58.7976 282.187,58.7976 \n", " 282.231,58.7976 282.274,58.7976 282.318,58.7976 282.362,58.7976 282.406,58.7976 282.45,58.7976 282.494,58.7976 282.538,58.7976 282.581,58.7976 282.625,58.7976 \n", " 282.669,58.7976 282.713,58.7976 282.757,58.7976 282.801,58.7976 282.844,58.7976 282.888,58.7976 282.932,58.7976 282.976,58.7976 283.02,58.7976 283.064,58.7976 \n", " 283.107,58.7976 283.151,58.7976 283.195,58.7976 283.239,58.7976 283.283,58.7976 283.327,58.7976 283.37,58.7976 283.414,58.7976 283.458,58.7976 283.502,58.7976 \n", " 283.546,58.7976 283.59,58.7976 283.633,58.7976 283.677,58.7976 283.721,58.7976 283.765,58.7976 283.809,58.7976 283.853,58.7976 283.896,58.7976 283.94,58.7976 \n", " 283.984,58.7976 284.028,58.7976 284.072,58.7976 284.116,58.7976 284.16,58.7976 284.203,58.7976 284.247,58.7976 284.291,58.7976 284.335,58.7976 284.379,58.7976 \n", " 284.423,58.7976 284.466,58.7976 284.51,58.7976 284.554,58.7976 284.598,58.7976 284.642,58.7976 284.686,58.7976 284.729,58.7976 284.773,58.7976 284.817,58.7976 \n", " 284.861,58.7976 284.905,58.7976 284.949,58.7976 284.992,58.7976 285.036,58.7976 285.08,58.7976 285.124,58.7976 285.168,58.7976 285.212,58.7976 285.255,58.7976 \n", " 285.299,58.7976 285.343,58.7976 285.387,58.7976 285.431,58.7976 285.475,58.7976 285.518,58.7976 285.562,58.7976 285.606,58.7976 285.65,58.7976 285.694,58.7976 \n", " 285.738,58.7976 285.781,58.7976 285.825,58.7976 285.869,58.7976 285.913,58.7976 285.957,58.7976 286.001,58.7976 286.045,58.7976 286.088,58.7976 286.132,58.7976 \n", " 286.176,58.7976 286.22,58.7976 286.264,58.7976 286.308,58.7976 286.351,58.7976 286.395,58.7976 286.439,62.4549 286.483,62.4549 286.527,62.4549 286.571,62.4549 \n", " 286.614,62.4549 286.658,62.4549 286.702,62.4549 286.746,62.4549 286.79,62.4549 286.834,62.4549 286.877,62.4549 286.921,62.4549 286.965,62.4549 287.009,62.4549 \n", " 287.053,62.4549 287.097,62.4549 287.14,62.4549 287.184,62.4549 287.228,62.4549 287.272,62.4549 287.316,62.4549 287.36,62.4549 287.403,62.4549 287.447,62.4549 \n", " 287.491,62.4549 287.535,62.4549 287.579,62.4549 287.623,62.4549 287.667,62.4549 287.71,62.4549 287.754,62.4549 287.798,62.4549 287.842,62.4549 287.886,62.4549 \n", " 287.93,62.4549 287.973,62.4549 288.017,62.4549 288.061,62.4549 288.105,62.4549 288.149,62.4549 288.193,62.4549 288.236,62.4549 288.28,62.4549 288.324,62.4549 \n", " 288.368,62.4549 288.412,62.4549 288.456,62.4549 288.499,62.4549 288.543,62.4549 288.587,62.4549 288.631,62.4549 288.675,62.4549 288.719,62.4549 288.762,62.4549 \n", " 288.806,62.4549 288.85,62.4549 288.894,62.4549 288.938,62.4549 288.982,62.4549 289.025,62.4549 289.069,62.4549 289.113,62.4549 289.157,62.4549 289.201,62.4549 \n", " 289.245,62.4549 289.288,62.4549 289.332,62.4549 289.376,62.4549 289.42,62.4549 289.464,62.4549 289.508,62.4549 289.552,62.4549 289.595,62.4549 289.639,62.4549 \n", " 289.683,62.4549 289.727,62.4549 289.771,62.4549 289.815,62.4549 289.858,62.4549 289.902,62.4549 289.946,62.4549 289.99,62.4549 290.034,62.4549 290.078,62.4549 \n", " 290.121,62.4549 290.165,62.4549 290.209,62.4549 290.253,62.4549 290.297,62.4549 290.341,62.4549 290.384,62.4549 290.428,62.4549 290.472,62.4549 290.516,62.4549 \n", " 290.56,62.4549 290.604,62.4549 290.647,62.4549 290.691,62.4549 290.735,62.4549 290.779,62.4549 290.823,62.4549 290.867,62.4549 290.91,62.4549 290.954,62.4549 \n", " 290.998,62.4549 291.042,62.4549 291.086,62.4549 291.13,62.4549 291.174,62.4549 291.217,62.4549 291.261,62.4549 291.305,62.4549 291.349,62.4549 291.393,62.4549 \n", " 291.437,62.4549 291.48,62.4549 291.524,62.4549 291.568,62.4549 291.612,62.4549 291.656,62.4549 291.7,62.4549 291.743,62.4549 291.787,62.4549 291.831,62.4549 \n", " 291.875,62.4549 291.919,62.4549 291.963,62.4549 292.006,62.4549 292.05,62.4549 292.094,62.4549 292.138,62.4549 292.182,62.4549 292.226,62.4549 292.269,66.1123 \n", " 292.313,66.1123 292.357,66.1123 292.401,66.1123 292.445,66.1123 292.489,66.1123 292.532,66.1123 292.576,66.1123 292.62,66.1123 292.664,66.1123 292.708,66.1123 \n", " 292.752,66.1123 292.795,66.1123 292.839,66.1123 292.883,66.1123 292.927,66.1123 292.971,66.1123 293.015,66.1123 293.059,66.1123 293.102,66.1123 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351.012,120.973 \n", " 351.055,120.973 351.099,120.973 351.143,120.973 351.187,120.973 351.231,120.973 351.275,120.973 351.318,120.973 351.362,120.973 351.406,120.973 351.45,120.973 \n", " 351.494,120.973 351.538,120.973 351.582,120.973 351.625,120.973 351.669,120.973 351.713,120.973 351.757,124.63 351.801,124.63 351.845,124.63 351.888,124.63 \n", " 351.932,124.63 351.976,124.63 352.02,124.63 352.064,124.63 352.108,124.63 352.151,124.63 352.195,124.63 352.239,124.63 352.283,124.63 352.327,124.63 \n", " 352.371,124.63 352.414,124.63 352.458,124.63 352.502,124.63 352.546,124.63 352.59,124.63 352.634,124.63 352.677,124.63 352.721,124.63 352.765,124.63 \n", " 352.809,124.63 352.853,124.63 352.897,124.63 352.94,124.63 352.984,124.63 353.028,128.288 353.072,128.288 353.116,128.288 353.16,128.288 353.203,128.288 \n", " 353.247,128.288 353.291,128.288 353.335,128.288 353.379,128.288 353.423,128.288 353.467,128.288 353.51,128.288 353.554,128.288 353.598,128.288 353.642,128.288 \n", " 353.686,128.288 353.73,128.288 353.773,128.288 353.817,128.288 353.861,128.288 353.905,128.288 353.949,128.288 353.993,128.288 354.036,128.288 354.08,128.288 \n", " 354.124,128.288 354.168,128.288 354.212,128.288 354.256,128.288 354.299,128.288 354.343,128.288 354.387,128.288 354.431,128.288 354.475,128.288 354.519,128.288 \n", " 354.562,128.288 354.606,128.288 354.65,128.288 354.694,128.288 354.738,128.288 354.782,128.288 354.825,128.288 354.869,128.288 354.913,128.288 354.957,128.288 \n", " 355.001,128.288 355.045,128.288 355.089,128.288 355.132,128.288 355.176,128.288 355.22,128.288 355.264,128.288 355.308,128.288 355.352,128.288 355.395,128.288 \n", " 355.439,128.288 355.483,128.288 355.527,128.288 355.571,128.288 355.615,128.288 355.658,128.288 355.702,128.288 355.746,128.288 355.79,128.288 355.834,128.288 \n", " 355.878,128.288 355.921,128.288 355.965,128.288 356.009,128.288 356.053,131.945 356.097,131.945 356.141,131.945 356.184,131.945 356.228,131.945 356.272,131.945 \n", " 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361.576,142.917 361.62,142.917 361.664,142.917 361.708,142.917 361.752,142.917 361.796,142.917 361.839,142.917 361.883,142.917 361.927,142.917 361.971,142.917 \n", " 362.015,142.917 362.059,142.917 362.103,142.917 362.146,142.917 362.19,142.917 362.234,142.917 362.278,142.917 362.322,146.574 362.366,146.574 362.409,146.574 \n", " 362.453,146.574 362.497,146.574 362.541,146.574 362.585,146.574 362.629,146.574 362.672,146.574 362.716,146.574 362.76,146.574 362.804,146.574 362.848,146.574 \n", " 362.892,146.574 362.935,146.574 362.979,146.574 363.023,146.574 363.067,146.574 363.111,146.574 363.155,146.574 363.198,146.574 363.242,146.574 363.286,146.574 \n", " 363.33,146.574 363.374,146.574 363.418,146.574 363.461,146.574 363.505,146.574 363.549,146.574 363.593,146.574 363.637,146.574 363.681,146.574 363.724,146.574 \n", " 363.768,146.574 363.812,146.574 363.856,146.574 363.9,146.574 363.944,146.574 363.988,146.574 364.031,146.574 364.075,146.574 364.119,146.574 364.163,146.574 \n", " 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372.097,172.176 372.141,172.176 372.185,172.176 372.229,172.176 372.273,172.176 372.317,172.176 372.36,172.176 372.404,172.176 372.448,172.176 372.492,172.176 \n", " 372.536,172.176 372.58,172.176 372.623,172.176 372.667,172.176 372.711,172.176 372.755,172.176 372.799,172.176 372.843,172.176 372.887,172.176 372.93,172.176 \n", " 372.974,172.176 373.018,172.176 373.062,172.176 373.106,172.176 373.15,172.176 373.193,172.176 373.237,172.176 373.281,172.176 373.325,172.176 373.369,172.176 \n", " 373.413,172.176 373.456,172.176 373.5,172.176 373.544,172.176 373.588,172.176 373.632,172.176 373.676,172.176 373.719,172.176 373.763,172.176 373.807,172.176 \n", " 373.851,172.176 373.895,172.176 373.939,172.176 373.982,172.176 374.026,172.176 374.07,172.176 374.114,172.176 374.158,172.176 374.202,172.176 374.245,172.176 \n", " 374.289,175.833 374.333,175.833 374.377,175.833 374.421,175.833 374.465,175.833 374.509,179.491 374.552,179.491 374.596,179.491 374.64,179.491 374.684,179.491 \n", " 374.728,179.491 374.772,179.491 374.815,179.491 374.859,179.491 374.903,179.491 374.947,179.491 374.991,179.491 375.035,179.491 375.078,179.491 375.122,179.491 \n", " 375.166,179.491 375.21,179.491 375.254,179.491 375.298,179.491 375.341,179.491 375.385,179.491 375.429,179.491 375.473,179.491 375.517,179.491 375.561,179.491 \n", " 375.604,179.491 375.648,179.491 375.692,179.491 375.736,179.491 375.78,179.491 375.824,179.491 375.867,179.491 375.911,179.491 375.955,179.491 375.999,179.491 \n", " 376.043,179.491 376.087,179.491 376.13,179.491 376.174,179.491 376.218,179.491 376.262,179.491 376.306,179.491 376.35,179.491 376.394,179.491 376.437,179.491 \n", " 376.481,179.491 376.525,179.491 376.569,179.491 376.613,179.491 376.657,179.491 376.7,179.491 376.744,179.491 376.788,179.491 376.832,179.491 376.876,179.491 \n", " 376.92,179.491 376.963,179.491 377.007,179.491 377.051,179.491 377.095,179.491 377.139,179.491 377.183,179.491 377.226,179.491 377.27,179.491 377.314,179.491 \n", " 377.358,179.491 377.402,179.491 377.446,179.491 377.489,179.491 377.533,179.491 377.577,179.491 377.621,179.491 377.665,179.491 377.709,179.491 377.752,179.491 \n", " 377.796,179.491 377.84,179.491 377.884,179.491 377.928,179.491 377.972,179.491 378.015,179.491 378.059,179.491 378.103,179.491 378.147,179.491 378.191,179.491 \n", " 378.235,179.491 378.279,179.491 378.322,179.491 378.366,179.491 378.41,179.491 378.454,183.148 378.498,183.148 378.542,183.148 378.585,183.148 378.629,183.148 \n", " 378.673,183.148 378.717,183.148 378.761,183.148 378.805,183.148 378.848,183.148 378.892,183.148 378.936,183.148 378.98,183.148 379.024,183.148 379.068,183.148 \n", " 379.111,183.148 379.155,183.148 379.199,183.148 379.243,183.148 379.287,183.148 379.331,183.148 379.374,183.148 379.418,183.148 379.462,183.148 379.506,183.148 \n", " 379.55,183.148 379.594,186.806 379.637,186.806 379.681,190.463 379.725,190.463 379.769,190.463 379.813,190.463 379.857,190.463 379.901,190.463 379.944,190.463 \n", " 379.988,194.12 380.032,194.12 380.076,194.12 380.12,194.12 380.164,194.12 380.207,194.12 380.251,194.12 380.295,197.778 380.339,197.778 380.383,197.778 \n", " 380.427,197.778 380.47,197.778 380.514,197.778 380.558,197.778 380.602,197.778 380.646,197.778 380.69,197.778 380.733,197.778 380.777,197.778 380.821,201.435 \n", " 380.865,201.435 380.909,201.435 380.953,201.435 380.996,201.435 381.04,201.435 381.084,201.435 381.128,201.435 381.172,201.435 381.216,201.435 381.259,201.435 \n", " 381.303,201.435 381.347,201.435 381.391,201.435 381.435,201.435 381.479,201.435 381.522,201.435 381.566,201.435 381.61,201.435 381.654,201.435 381.698,201.435 \n", " 381.742,201.435 381.786,201.435 381.829,201.435 381.873,201.435 381.917,201.435 381.961,201.435 382.005,201.435 382.049,201.435 382.092,201.435 382.136,201.435 \n", " 382.18,201.435 382.224,201.435 382.268,201.435 382.312,201.435 382.355,201.435 382.399,201.435 382.443,201.435 382.487,201.435 382.531,201.435 382.575,201.435 \n", " 382.618,201.435 382.662,201.435 382.706,201.435 382.75,201.435 382.794,201.435 382.838,201.435 382.881,201.435 382.925,201.435 382.969,201.435 383.013,201.435 \n", " 383.057,201.435 383.101,201.435 383.144,201.435 383.188,201.435 383.232,201.435 383.276,201.435 383.32,201.435 383.364,201.435 383.408,201.435 383.451,201.435 \n", " 383.495,201.435 383.539,201.435 383.583,201.435 383.627,201.435 383.671,201.435 383.714,201.435 383.758,201.435 383.802,201.435 383.846,201.435 383.89,201.435 \n", " 383.934,201.435 383.977,201.435 384.021,201.435 384.065,201.435 384.109,201.435 384.153,201.435 384.197,201.435 384.24,201.435 384.284,201.435 384.328,201.435 \n", " 384.372,201.435 384.416,201.435 384.46,201.435 384.503,201.435 384.547,201.435 384.591,201.435 384.635,201.435 384.679,201.435 384.723,201.435 384.766,201.435 \n", " 384.81,201.435 384.854,201.435 384.898,205.092 384.942,205.092 384.986,208.75 385.029,208.75 385.073,208.75 385.117,208.75 385.161,208.75 385.205,208.75 \n", " 385.249,208.75 385.293,208.75 385.336,208.75 385.38,208.75 385.424,208.75 385.468,208.75 385.512,208.75 385.556,208.75 385.599,208.75 385.643,208.75 \n", " 385.687,208.75 385.731,208.75 385.775,208.75 385.819,208.75 385.862,208.75 385.906,208.75 385.95,208.75 385.994,208.75 386.038,208.75 386.082,208.75 \n", " 386.125,208.75 386.169,208.75 386.213,208.75 386.257,208.75 386.301,208.75 386.345,208.75 386.388,208.75 386.432,208.75 386.476,208.75 386.52,208.75 \n", " 386.564,208.75 386.608,208.75 386.651,208.75 386.695,208.75 386.739,208.75 386.783,208.75 386.827,208.75 386.871,208.75 386.914,208.75 386.958,208.75 \n", " 387.002,208.75 387.046,208.75 387.09,208.75 387.134,208.75 387.178,208.75 387.221,208.75 387.265,208.75 387.309,208.75 387.353,208.75 387.397,208.75 \n", " 387.441,208.75 387.484,208.75 387.528,208.75 387.572,208.75 387.616,208.75 387.66,208.75 387.704,208.75 387.747,208.75 387.791,208.75 387.835,212.407 \n", " 387.879,212.407 387.923,212.407 387.967,212.407 388.01,212.407 388.054,212.407 388.098,212.407 388.142,212.407 388.186,212.407 388.23,212.407 388.273,212.407 \n", " 388.317,212.407 388.361,212.407 388.405,212.407 388.449,212.407 388.493,212.407 388.536,212.407 388.58,212.407 388.624,212.407 388.668,212.407 388.712,212.407 \n", " 388.756,212.407 388.8,212.407 388.843,212.407 388.887,212.407 388.931,212.407 388.975,212.407 389.019,212.407 389.063,212.407 389.106,212.407 389.15,212.407 \n", " 389.194,212.407 389.238,212.407 389.282,212.407 389.326,212.407 389.369,212.407 389.413,212.407 389.457,212.407 389.501,216.065 389.545,216.065 389.589,216.065 \n", " 389.632,216.065 389.676,216.065 389.72,216.065 389.764,216.065 389.808,216.065 389.852,216.065 389.895,216.065 389.939,216.065 389.983,216.065 390.027,216.065 \n", " 390.071,216.065 390.115,216.065 390.158,216.065 390.202,216.065 390.246,216.065 390.29,216.065 390.334,216.065 390.378,216.065 390.421,216.065 390.465,216.065 \n", " 390.509,216.065 390.553,216.065 390.597,216.065 390.641,216.065 390.685,216.065 390.728,216.065 390.772,216.065 390.816,216.065 390.86,216.065 390.904,216.065 \n", " 390.948,216.065 390.991,216.065 391.035,216.065 391.079,216.065 391.123,216.065 391.167,216.065 391.211,216.065 391.254,216.065 391.298,216.065 391.342,216.065 \n", " 391.386,216.065 391.43,216.065 391.474,216.065 391.517,216.065 391.561,216.065 391.605,216.065 391.649,216.065 391.693,216.065 391.737,216.065 391.78,216.065 \n", " 391.824,219.722 391.868,219.722 391.912,219.722 391.956,219.722 392,219.722 392.043,219.722 392.087,219.722 392.131,219.722 392.175,219.722 392.219,219.722 \n", " 392.263,219.722 392.307,219.722 392.35,219.722 392.394,219.722 392.438,219.722 392.482,219.722 392.526,219.722 392.57,219.722 392.613,219.722 392.657,219.722 \n", " 392.701,219.722 392.745,219.722 392.789,219.722 392.833,219.722 392.876,219.722 392.92,219.722 392.964,219.722 393.008,219.722 393.052,219.722 393.096,219.722 \n", " 393.139,219.722 393.183,219.722 393.227,219.722 393.271,219.722 393.315,219.722 393.359,219.722 393.402,219.722 393.446,219.722 393.49,219.722 393.534,219.722 \n", " 393.578,219.722 393.622,219.722 393.665,219.722 393.709,219.722 393.753,219.722 393.797,219.722 393.841,219.722 393.885,219.722 393.928,219.722 393.972,219.722 \n", " 394.016,219.722 394.06,219.722 394.104,219.722 394.148,219.722 394.192,219.722 394.235,219.722 394.279,219.722 394.323,219.722 394.367,219.722 394.411,219.722 \n", " 394.455,219.722 394.498,219.722 394.542,219.722 394.586,219.722 394.63,219.722 394.674,219.722 394.718,219.722 394.761,219.722 394.805,223.379 394.849,223.379 \n", " 394.893,223.379 394.937,223.379 394.981,223.379 395.024,223.379 395.068,223.379 395.112,223.379 395.156,223.379 395.2,223.379 395.244,223.379 395.287,223.379 \n", " 395.331,223.379 395.375,223.379 395.419,223.379 395.463,223.379 395.507,223.379 395.55,223.379 395.594,223.379 395.638,223.379 395.682,223.379 395.726,223.379 \n", " 395.77,227.037 395.814,227.037 395.857,227.037 395.901,227.037 395.945,227.037 395.989,227.037 396.033,227.037 396.077,227.037 396.12,227.037 396.164,227.037 \n", " 396.208,227.037 396.252,227.037 396.296,227.037 396.34,227.037 396.383,227.037 396.427,227.037 396.471,227.037 396.515,227.037 396.559,227.037 396.603,227.037 \n", " 396.646,227.037 396.69,227.037 396.734,227.037 396.778,227.037 396.822,227.037 396.866,227.037 396.909,227.037 396.953,227.037 396.997,227.037 397.041,227.037 \n", " 397.085,227.037 397.129,227.037 397.172,227.037 397.216,227.037 397.26,227.037 397.304,230.694 397.348,230.694 397.392,230.694 397.435,230.694 397.479,230.694 \n", " 397.523,230.694 397.567,230.694 397.611,230.694 397.655,230.694 397.699,230.694 397.742,230.694 397.786,230.694 397.83,230.694 397.874,230.694 397.918,230.694 \n", " 397.962,230.694 398.005,230.694 398.049,230.694 398.093,230.694 398.137,230.694 398.181,230.694 398.225,230.694 398.268,230.694 398.312,230.694 398.356,230.694 \n", " 398.4,230.694 398.444,230.694 398.488,230.694 398.531,230.694 398.575,230.694 398.619,230.694 398.663,230.694 398.707,230.694 398.751,230.694 398.794,230.694 \n", " 398.838,234.351 398.882,234.351 398.926,234.351 398.97,234.351 399.014,234.351 399.057,234.351 399.101,234.351 399.145,234.351 399.189,234.351 399.233,234.351 \n", " 399.277,234.351 399.32,234.351 399.364,234.351 399.408,234.351 399.452,234.351 399.496,234.351 399.54,234.351 399.584,234.351 399.627,234.351 399.671,234.351 \n", " 399.715,234.351 399.759,234.351 399.803,234.351 399.847,234.351 399.89,234.351 399.934,234.351 399.978,234.351 400.022,234.351 400.066,234.351 400.11,234.351 \n", " 400.153,234.351 400.197,234.351 400.241,234.351 400.285,234.351 400.329,234.351 400.373,234.351 400.416,234.351 400.46,234.351 400.504,234.351 400.548,234.351 \n", " 400.592,234.351 400.636,234.351 400.679,234.351 400.723,234.351 400.767,234.351 400.811,234.351 400.855,234.351 400.899,234.351 400.942,234.351 400.986,234.351 \n", " 401.03,234.351 401.074,234.351 401.118,234.351 401.162,234.351 401.206,234.351 401.249,234.351 401.293,234.351 401.337,234.351 401.381,234.351 401.425,234.351 \n", " 401.469,234.351 401.512,234.351 401.556,234.351 401.6,234.351 401.644,234.351 401.688,234.351 401.732,234.351 401.775,234.351 401.819,234.351 401.863,234.351 \n", " 401.907,234.351 401.951,234.351 401.995,234.351 402.038,234.351 402.082,234.351 402.126,234.351 402.17,234.351 402.214,234.351 402.258,234.351 402.301,234.351 \n", " 402.345,234.351 402.389,234.351 402.433,234.351 402.477,234.351 402.521,234.351 402.564,234.351 402.608,234.351 402.652,234.351 402.696,234.351 402.74,234.351 \n", " 402.784,234.351 402.827,234.351 402.871,234.351 402.915,234.351 402.959,234.351 403.003,234.351 403.047,234.351 403.091,234.351 403.134,234.351 403.178,234.351 \n", " 403.222,234.351 403.266,234.351 403.31,234.351 403.354,234.351 403.397,234.351 403.441,234.351 403.485,234.351 403.529,234.351 403.573,234.351 403.617,234.351 \n", " 403.66,234.351 403.704,234.351 403.748,234.351 403.792,234.351 403.836,234.351 403.88,234.351 403.923,234.351 403.967,234.351 404.011,234.351 404.055,238.009 \n", " 404.099,238.009 404.143,238.009 404.186,238.009 404.23,238.009 404.274,238.009 404.318,238.009 404.362,238.009 404.406,238.009 404.449,238.009 404.493,238.009 \n", " 404.537,238.009 404.581,238.009 404.625,238.009 404.669,238.009 404.713,238.009 404.756,238.009 404.8,238.009 404.844,238.009 404.888,238.009 404.932,238.009 \n", " 404.976,238.009 405.019,238.009 405.063,238.009 405.107,238.009 405.151,238.009 405.195,238.009 405.239,238.009 405.282,238.009 405.326,238.009 405.37,238.009 \n", " 405.414,238.009 405.458,238.009 405.502,238.009 405.545,238.009 405.589,238.009 405.633,238.009 405.677,238.009 405.721,238.009 405.765,238.009 405.808,238.009 \n", " 405.852,241.666 405.896,241.666 405.94,241.666 405.984,241.666 406.028,241.666 406.071,241.666 406.115,241.666 406.159,241.666 406.203,241.666 406.247,241.666 \n", " 406.291,241.666 406.334,241.666 406.378,241.666 406.422,241.666 406.466,241.666 406.51,241.666 406.554,241.666 406.598,241.666 406.641,241.666 406.685,241.666 \n", " 406.729,241.666 406.773,241.666 406.817,241.666 406.861,241.666 406.904,241.666 406.948,241.666 406.992,241.666 407.036,241.666 407.08,241.666 407.124,241.666 \n", " 407.167,241.666 407.211,241.666 407.255,241.666 407.299,241.666 407.343,241.666 407.387,241.666 407.43,241.666 407.474,241.666 407.518,241.666 407.562,241.666 \n", " 407.606,241.666 407.65,241.666 407.693,241.666 407.737,241.666 407.781,241.666 407.825,241.666 407.869,241.666 407.913,241.666 407.956,241.666 408,241.666 \n", " 408.044,241.666 408.088,241.666 408.132,241.666 408.176,241.666 408.22,241.666 408.263,241.666 408.307,241.666 408.351,241.666 408.395,241.666 408.439,241.666 \n", " 408.483,241.666 408.526,241.666 408.57,241.666 408.614,241.666 408.658,241.666 408.702,241.666 408.746,241.666 408.789,241.666 408.833,241.666 408.877,241.666 \n", " 408.921,241.666 408.965,241.666 409.009,241.666 409.052,241.666 409.096,241.666 409.14,241.666 409.184,245.323 409.228,245.323 409.272,245.323 409.315,245.323 \n", " 409.359,245.323 409.403,245.323 409.447,245.323 409.491,245.323 409.535,245.323 409.578,245.323 409.622,248.981 409.666,248.981 409.71,248.981 409.754,248.981 \n", " 409.798,248.981 409.841,248.981 409.885,248.981 409.929,248.981 409.973,248.981 410.017,248.981 410.061,248.981 410.105,248.981 410.148,248.981 410.192,248.981 \n", " 410.236,248.981 410.28,248.981 410.324,248.981 410.368,248.981 410.411,248.981 410.455,248.981 410.499,248.981 410.543,248.981 410.587,248.981 410.631,248.981 \n", " 410.674,248.981 410.718,248.981 410.762,248.981 410.806,248.981 410.85,248.981 410.894,248.981 410.937,248.981 410.981,248.981 411.025,248.981 411.069,248.981 \n", " 411.113,248.981 411.157,248.981 411.2,248.981 411.244,248.981 411.288,248.981 411.332,248.981 411.376,248.981 411.42,248.981 411.463,248.981 411.507,248.981 \n", " 411.551,248.981 411.595,248.981 411.639,248.981 411.683,248.981 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419.617,259.953 419.661,263.61 419.705,263.61 419.749,267.268 419.793,267.268 419.836,267.268 \n", " 419.88,267.268 419.924,267.268 419.968,267.268 420.012,267.268 420.056,267.268 420.099,267.268 420.143,267.268 420.187,267.268 420.231,267.268 420.275,267.268 \n", " 420.319,267.268 420.362,267.268 420.406,267.268 420.45,267.268 420.494,267.268 420.538,267.268 420.582,267.268 420.626,267.268 420.669,267.268 420.713,267.268 \n", " 420.757,267.268 420.801,267.268 420.845,267.268 420.889,267.268 420.932,267.268 420.976,267.268 421.02,267.268 421.064,270.925 421.108,270.925 421.152,270.925 \n", " 421.195,270.925 421.239,270.925 421.283,270.925 421.327,270.925 421.371,270.925 421.415,270.925 421.458,270.925 421.502,270.925 421.546,270.925 421.59,270.925 \n", " 421.634,270.925 421.678,270.925 421.721,270.925 421.765,270.925 421.809,270.925 421.853,270.925 421.897,270.925 421.941,270.925 421.984,270.925 422.028,270.925 \n", " 422.072,270.925 422.116,270.925 422.16,270.925 422.204,270.925 422.247,270.925 422.291,270.925 422.335,270.925 422.379,270.925 422.423,270.925 422.467,270.925 \n", " 422.511,270.925 422.554,270.925 422.598,270.925 422.642,270.925 422.686,270.925 422.73,270.925 422.774,270.925 422.817,270.925 422.861,270.925 422.905,270.925 \n", " 422.949,270.925 422.993,270.925 423.037,270.925 423.08,270.925 423.124,270.925 423.168,270.925 423.212,270.925 423.256,270.925 423.3,270.925 423.343,270.925 \n", " 423.387,270.925 423.431,270.925 423.475,270.925 423.519,270.925 423.563,270.925 423.606,270.925 423.65,270.925 423.694,270.925 423.738,270.925 423.782,270.925 \n", " 423.826,270.925 423.869,270.925 423.913,270.925 423.957,270.925 424.001,270.925 424.045,270.925 424.089,270.925 424.132,270.925 424.176,270.925 424.22,270.925 \n", " 424.264,270.925 424.308,270.925 424.352,270.925 424.396,270.925 424.439,270.925 424.483,270.925 424.527,270.925 424.571,270.925 424.615,270.925 424.659,270.925 \n", " 424.702,270.925 424.746,270.925 424.79,270.925 424.834,270.925 424.878,270.925 424.922,270.925 424.965,270.925 425.009,270.925 425.053,270.925 425.097,270.925 \n", " 425.141,270.925 425.185,270.925 425.228,270.925 425.272,270.925 425.316,270.925 425.36,270.925 425.404,270.925 425.448,270.925 425.491,270.925 425.535,270.925 \n", " 425.579,270.925 425.623,270.925 425.667,270.925 425.711,270.925 425.754,270.925 425.798,270.925 425.842,270.925 425.886,270.925 425.93,270.925 425.974,270.925 \n", " 426.018,270.925 426.061,270.925 426.105,270.925 426.149,270.925 426.193,270.925 426.237,270.925 426.281,270.925 426.324,270.925 426.368,270.925 426.412,270.925 \n", " 426.456,270.925 426.5,270.925 426.544,274.582 426.587,274.582 426.631,274.582 426.675,274.582 426.719,274.582 426.763,274.582 426.807,274.582 426.85,274.582 \n", " 426.894,274.582 426.938,274.582 426.982,274.582 427.026,274.582 427.07,274.582 427.113,274.582 427.157,274.582 427.201,274.582 427.245,274.582 427.289,274.582 \n", " 427.333,274.582 427.376,274.582 427.42,274.582 427.464,274.582 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430.138,274.582 430.182,274.582 430.226,274.582 430.27,274.582 430.314,274.582 430.357,274.582 \n", " 430.401,274.582 430.445,274.582 430.489,274.582 430.533,274.582 430.577,274.582 430.62,274.582 430.664,274.582 430.708,274.582 430.752,274.582 430.796,274.582 \n", " 430.84,274.582 430.883,274.582 430.927,274.582 430.971,274.582 431.015,274.582 431.059,274.582 431.103,274.582 431.146,274.582 431.19,274.582 431.234,274.582 \n", " 431.278,274.582 431.322,274.582 431.366,274.582 431.41,274.582 431.453,274.582 431.497,274.582 431.541,274.582 431.585,274.582 431.629,274.582 431.673,274.582 \n", " 431.716,274.582 431.76,274.582 431.804,274.582 431.848,274.582 431.892,274.582 431.936,274.582 431.979,274.582 432.023,274.582 432.067,274.582 432.111,274.582 \n", " 432.155,274.582 432.199,274.582 432.242,274.582 432.286,274.582 432.33,274.582 432.374,274.582 432.418,278.24 432.462,278.24 432.505,278.24 432.549,278.24 \n", " 432.593,278.24 432.637,278.24 432.681,278.24 432.725,278.24 432.768,278.24 432.812,278.24 432.856,278.24 432.9,278.24 432.944,278.24 432.988,278.24 \n", " 433.032,278.24 433.075,278.24 433.119,278.24 433.163,278.24 433.207,278.24 433.251,278.24 433.295,278.24 433.338,278.24 433.382,278.24 433.426,278.24 \n", " 433.47,278.24 433.514,278.24 433.558,278.24 433.601,278.24 433.645,278.24 433.689,278.24 433.733,278.24 433.777,278.24 433.821,278.24 433.864,278.24 \n", " 433.908,278.24 433.952,278.24 433.996,278.24 434.04,278.24 434.084,278.24 434.127,278.24 434.171,278.24 434.215,278.24 434.259,278.24 434.303,278.24 \n", " 434.347,278.24 434.39,278.24 434.434,278.24 434.478,278.24 434.522,278.24 434.566,278.24 434.61,278.24 434.653,278.24 434.697,278.24 434.741,278.24 \n", " 434.785,278.24 434.829,278.24 434.873,278.24 434.917,278.24 434.96,278.24 435.004,278.24 435.048,278.24 435.092,278.24 435.136,278.24 435.18,278.24 \n", " 435.223,278.24 435.267,278.24 435.311,278.24 435.355,278.24 435.399,278.24 435.443,278.24 435.486,278.24 435.53,278.24 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438.336,281.897 438.38,281.897 438.424,281.897 438.467,281.897 438.511,281.897 438.555,281.897 438.599,281.897 438.643,281.897 438.687,281.897 \n", " 438.73,281.897 438.774,281.897 438.818,281.897 438.862,281.897 438.906,281.897 438.95,281.897 438.993,281.897 439.037,281.897 439.081,281.897 439.125,281.897 \n", " 439.169,281.897 439.213,281.897 439.256,281.897 439.3,281.897 439.344,281.897 439.388,281.897 439.432,281.897 439.476,281.897 439.519,281.897 439.563,281.897 \n", " 439.607,281.897 439.651,281.897 439.695,281.897 439.739,281.897 439.782,281.897 439.826,281.897 439.87,281.897 439.914,281.897 439.958,281.897 440.002,281.897 \n", " 440.045,281.897 440.089,281.897 440.133,281.897 440.177,281.897 440.221,281.897 440.265,281.897 440.309,281.897 440.352,281.897 440.396,281.897 440.44,281.897 \n", " 440.484,281.897 440.528,281.897 440.572,281.897 440.615,281.897 440.659,281.897 440.703,281.897 440.747,281.897 440.791,281.897 440.835,281.897 440.878,281.897 \n", " 440.922,281.897 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446.227,285.555 446.27,285.555 446.314,285.555 446.358,285.555 446.402,285.555 446.446,285.555 446.49,285.555 446.533,285.555 446.577,285.555 \n", " 446.621,285.555 446.665,285.555 446.709,285.555 446.753,285.555 446.796,285.555 446.84,285.555 446.884,285.555 446.928,285.555 446.972,285.555 447.016,285.555 \n", " 447.059,285.555 447.103,285.555 447.147,285.555 447.191,285.555 447.235,285.555 447.279,285.555 447.323,285.555 447.366,285.555 447.41,285.555 447.454,285.555 \n", " 447.498,285.555 447.542,285.555 447.586,285.555 447.629,285.555 447.673,285.555 447.717,285.555 447.761,285.555 447.805,285.555 447.849,285.555 447.892,285.555 \n", " 447.936,285.555 447.98,285.555 448.024,285.555 448.068,285.555 448.112,285.555 448.155,285.555 448.199,285.555 448.243,285.555 448.287,285.555 448.331,285.555 \n", " 448.375,285.555 448.418,285.555 448.462,285.555 448.506,285.555 448.55,285.555 448.594,285.555 448.638,285.555 448.681,285.555 448.725,285.555 448.769,285.555 \n", " 448.813,285.555 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451.487,285.555 451.531,285.555 451.575,285.555 451.619,285.555 451.662,285.555 451.706,285.555 451.75,285.555 451.794,285.555 451.838,285.555 \n", " 451.882,285.555 451.925,285.555 451.969,285.555 452.013,285.555 452.057,285.555 452.101,285.555 452.145,285.555 452.188,285.555 452.232,285.555 452.276,289.212 \n", " 452.32,289.212 452.364,289.212 452.408,289.212 452.451,289.212 452.495,289.212 452.539,289.212 452.583,289.212 452.627,289.212 452.671,289.212 452.715,289.212 \n", " 452.758,289.212 452.802,289.212 452.846,289.212 452.89,289.212 452.934,289.212 452.978,289.212 453.021,289.212 453.065,289.212 453.109,289.212 453.153,289.212 \n", " 453.197,289.212 453.241,289.212 453.284,289.212 453.328,289.212 453.372,289.212 453.416,289.212 453.46,289.212 453.504,289.212 453.547,289.212 453.591,289.212 \n", " 453.635,289.212 453.679,289.212 453.723,289.212 453.767,292.869 453.81,292.869 453.854,292.869 453.898,292.869 453.942,292.869 453.986,292.869 454.03,292.869 \n", " 454.073,292.869 454.117,292.869 454.161,292.869 454.205,292.869 454.249,292.869 454.293,292.869 454.337,292.869 454.38,292.869 454.424,292.869 454.468,292.869 \n", " 454.512,292.869 454.556,292.869 454.6,292.869 454.643,292.869 454.687,292.869 454.731,292.869 454.775,292.869 454.819,292.869 454.863,292.869 454.906,292.869 \n", " 454.95,292.869 454.994,292.869 455.038,292.869 455.082,292.869 455.126,296.527 455.169,296.527 455.213,296.527 455.257,296.527 455.301,296.527 455.345,296.527 \n", " 455.389,296.527 455.432,296.527 455.476,296.527 455.52,296.527 455.564,296.527 455.608,296.527 455.652,296.527 455.695,296.527 455.739,296.527 455.783,296.527 \n", " 455.827,296.527 455.871,296.527 455.915,296.527 455.958,296.527 456.002,296.527 456.046,296.527 456.09,296.527 456.134,296.527 456.178,296.527 456.222,296.527 \n", " 456.265,296.527 456.309,296.527 456.353,296.527 456.397,296.527 456.441,296.527 456.485,296.527 456.528,296.527 456.572,296.527 456.616,296.527 456.66,296.527 \n", " 456.704,296.527 456.748,296.527 456.791,296.527 456.835,296.527 456.879,296.527 456.923,296.527 456.967,296.527 457.011,296.527 457.054,296.527 457.098,296.527 \n", " 457.142,296.527 457.186,296.527 457.23,296.527 457.274,296.527 457.317,296.527 457.361,296.527 457.405,296.527 457.449,296.527 457.493,296.527 457.537,296.527 \n", " 457.58,296.527 457.624,296.527 457.668,296.527 457.712,296.527 457.756,296.527 457.8,296.527 457.844,296.527 457.887,296.527 457.931,296.527 457.975,296.527 \n", " 458.019,296.527 458.063,296.527 458.107,296.527 458.15,296.527 458.194,296.527 458.238,296.527 458.282,296.527 458.326,296.527 458.37,296.527 458.413,296.527 \n", " 458.457,296.527 458.501,296.527 458.545,296.527 458.589,296.527 458.633,296.527 458.676,296.527 458.72,296.527 458.764,296.527 458.808,296.527 458.852,296.527 \n", " 458.896,296.527 458.939,296.527 458.983,296.527 459.027,296.527 459.071,296.527 459.115,296.527 459.159,296.527 459.202,296.527 459.246,296.527 459.29,296.527 \n", " 459.334,296.527 459.378,296.527 459.422,296.527 459.465,296.527 459.509,296.527 459.553,296.527 459.597,296.527 459.641,296.527 459.685,296.527 459.729,296.527 \n", " 459.772,296.527 459.816,296.527 459.86,296.527 459.904,296.527 459.948,296.527 459.992,296.527 460.035,296.527 460.079,296.527 460.123,296.527 460.167,296.527 \n", " 460.211,296.527 460.255,296.527 460.298,296.527 460.342,296.527 460.386,296.527 460.43,296.527 460.474,296.527 460.518,296.527 460.561,296.527 460.605,296.527 \n", " 460.649,296.527 460.693,296.527 460.737,296.527 460.781,296.527 460.824,296.527 460.868,296.527 460.912,296.527 460.956,296.527 461,296.527 461.044,296.527 \n", " 461.087,296.527 461.131,296.527 461.175,296.527 461.219,296.527 461.263,296.527 461.307,296.527 461.35,296.527 461.394,296.527 461.438,296.527 461.482,296.527 \n", " 461.526,296.527 461.57,296.527 461.614,296.527 461.657,296.527 461.701,296.527 461.745,296.527 461.789,296.527 461.833,296.527 461.877,296.527 461.92,296.527 \n", " 461.964,296.527 462.008,296.527 462.052,296.527 462.096,296.527 462.14,296.527 462.183,296.527 462.227,296.527 462.271,296.527 462.315,296.527 462.359,296.527 \n", " 462.403,296.527 462.446,296.527 462.49,296.527 462.534,296.527 462.578,296.527 462.622,296.527 462.666,296.527 462.709,296.527 462.753,296.527 462.797,296.527 \n", " 462.841,296.527 462.885,296.527 462.929,296.527 462.972,296.527 463.016,296.527 463.06,296.527 463.104,296.527 463.148,296.527 463.192,296.527 463.236,296.527 \n", " 463.279,296.527 463.323,296.527 463.367,296.527 463.411,296.527 463.455,296.527 463.499,296.527 463.542,296.527 463.586,296.527 463.63,296.527 463.674,296.527 \n", " 463.718,296.527 463.762,296.527 463.805,296.527 463.849,296.527 463.893,296.527 463.937,296.527 463.981,296.527 464.025,296.527 464.068,296.527 464.112,296.527 \n", " 464.156,296.527 464.2,296.527 464.244,296.527 464.288,296.527 464.331,296.527 464.375,296.527 464.419,296.527 464.463,296.527 464.507,296.527 464.551,296.527 \n", " 464.594,296.527 464.638,296.527 464.682,296.527 464.726,296.527 464.77,296.527 464.814,296.527 464.857,296.527 464.901,296.527 464.945,296.527 464.989,296.527 \n", " 465.033,296.527 465.077,296.527 465.121,296.527 465.164,296.527 465.208,296.527 465.252,296.527 465.296,296.527 465.34,296.527 465.384,296.527 465.427,296.527 \n", " 465.471,296.527 465.515,296.527 465.559,296.527 465.603,296.527 465.647,296.527 465.69,296.527 465.734,296.527 465.778,296.527 465.822,296.527 465.866,296.527 \n", " 465.91,296.527 465.953,296.527 465.997,296.527 466.041,296.527 466.085,296.527 466.129,296.527 466.173,296.527 466.216,296.527 466.26,296.527 466.304,296.527 \n", " 466.348,296.527 466.392,296.527 466.436,296.527 466.479,296.527 466.523,296.527 466.567,296.527 466.611,296.527 466.655,296.527 466.699,296.527 466.743,296.527 \n", " 466.786,296.527 466.83,296.527 466.874,296.527 466.918,296.527 466.962,296.527 467.006,296.527 467.049,296.527 467.093,296.527 467.137,296.527 467.181,296.527 \n", " 467.225,296.527 467.269,296.527 467.312,296.527 467.356,296.527 467.4,296.527 467.444,296.527 467.488,296.527 467.532,296.527 467.575,296.527 467.619,296.527 \n", " 467.663,296.527 467.707,296.527 467.751,296.527 467.795,296.527 467.838,296.527 467.882,296.527 467.926,296.527 467.97,296.527 468.014,296.527 468.058,296.527 \n", " 468.101,296.527 468.145,296.527 468.189,296.527 468.233,296.527 468.277,296.527 468.321,296.527 468.364,296.527 468.408,296.527 468.452,296.527 468.496,296.527 \n", " 468.54,296.527 468.584,296.527 468.628,296.527 468.671,296.527 468.715,296.527 468.759,296.527 468.803,296.527 468.847,296.527 468.891,296.527 468.934,296.527 \n", " 468.978,296.527 469.022,296.527 469.066,296.527 469.11,296.527 469.154,296.527 469.197,296.527 469.241,296.527 469.285,296.527 469.329,296.527 469.373,296.527 \n", " 469.417,296.527 469.46,296.527 469.504,296.527 469.548,296.527 469.592,296.527 469.636,296.527 469.68,300.184 469.723,300.184 469.767,300.184 469.811,300.184 \n", " 469.855,300.184 469.899,300.184 469.943,300.184 469.986,300.184 470.03,300.184 470.074,300.184 470.118,300.184 470.162,300.184 470.206,300.184 470.249,300.184 \n", " 470.293,300.184 470.337,300.184 470.381,300.184 470.425,300.184 470.469,300.184 470.513,300.184 470.556,300.184 470.6,300.184 470.644,300.184 470.688,300.184 \n", " 470.732,300.184 470.776,300.184 470.819,300.184 470.863,300.184 470.907,300.184 470.951,300.184 470.995,300.184 471.039,300.184 471.082,300.184 471.126,300.184 \n", " 471.17,300.184 471.214,300.184 471.258,300.184 471.302,300.184 471.345,300.184 471.389,300.184 471.433,300.184 471.477,300.184 471.521,300.184 471.565,300.184 \n", " 471.608,300.184 471.652,300.184 471.696,300.184 471.74,300.184 471.784,300.184 471.828,300.184 471.871,300.184 471.915,300.184 471.959,300.184 472.003,300.184 \n", " 472.047,300.184 472.091,300.184 472.135,300.184 472.178,300.184 472.222,300.184 472.266,300.184 472.31,300.184 472.354,300.184 472.398,300.184 472.441,300.184 \n", " 472.485,300.184 472.529,300.184 472.573,300.184 472.617,300.184 472.661,300.184 472.704,300.184 472.748,300.184 472.792,300.184 472.836,300.184 472.88,300.184 \n", " 472.924,300.184 472.967,300.184 473.011,300.184 473.055,300.184 473.099,300.184 473.143,300.184 473.187,300.184 473.23,300.184 473.274,300.184 473.318,300.184 \n", " 473.362,300.184 473.406,300.184 473.45,300.184 473.493,300.184 473.537,300.184 473.581,300.184 473.625,300.184 473.669,300.184 473.713,300.184 473.756,300.184 \n", " 473.8,300.184 473.844,300.184 473.888,300.184 473.932,300.184 473.976,300.184 474.02,300.184 474.063,300.184 474.107,300.184 474.151,300.184 474.195,300.184 \n", " 474.239,300.184 474.283,300.184 474.326,300.184 474.37,300.184 474.414,300.184 474.458,300.184 474.502,300.184 474.546,300.184 474.589,300.184 474.633,300.184 \n", " 474.677,300.184 474.721,300.184 474.765,300.184 474.809,300.184 474.852,300.184 474.896,300.184 474.94,300.184 474.984,300.184 475.028,300.184 475.072,300.184 \n", " 475.115,300.184 475.159,300.184 475.203,300.184 475.247,300.184 475.291,300.184 475.335,300.184 475.378,300.184 475.422,300.184 475.466,300.184 475.51,300.184 \n", " 475.554,300.184 475.598,300.184 475.642,300.184 475.685,303.841 475.729,303.841 475.773,303.841 475.817,303.841 475.861,303.841 475.905,303.841 475.948,303.841 \n", " 475.992,303.841 476.036,303.841 476.08,303.841 476.124,303.841 476.168,303.841 476.211,303.841 476.255,303.841 476.299,303.841 476.343,303.841 476.387,303.841 \n", " 476.431,303.841 476.474,303.841 476.518,303.841 476.562,303.841 476.606,303.841 476.65,303.841 476.694,303.841 476.737,303.841 476.781,303.841 476.825,303.841 \n", " 476.869,303.841 476.913,303.841 476.957,303.841 477,303.841 477.044,303.841 477.088,303.841 477.132,303.841 477.176,303.841 477.22,303.841 477.263,303.841 \n", " 477.307,303.841 477.351,303.841 477.395,303.841 477.439,303.841 477.483,303.841 477.527,303.841 477.57,303.841 477.614,303.841 477.658,303.841 477.702,303.841 \n", " 477.746,303.841 477.79,303.841 477.833,303.841 477.877,303.841 477.921,303.841 477.965,303.841 478.009,303.841 478.053,303.841 478.096,303.841 478.14,303.841 \n", " 478.184,303.841 478.228,303.841 478.272,303.841 478.316,303.841 478.359,303.841 478.403,303.841 478.447,303.841 478.491,303.841 478.535,303.841 478.579,303.841 \n", " 478.622,303.841 478.666,303.841 478.71,303.841 478.754,303.841 478.798,303.841 478.842,303.841 478.885,303.841 478.929,303.841 478.973,303.841 479.017,303.841 \n", " 479.061,303.841 479.105,303.841 479.149,303.841 479.192,303.841 479.236,303.841 479.28,303.841 479.324,303.841 479.368,303.841 479.412,303.841 479.455,303.841 \n", " 479.499,303.841 479.543,303.841 479.587,303.841 479.631,303.841 479.675,303.841 479.718,303.841 479.762,303.841 479.806,303.841 479.85,303.841 479.894,303.841 \n", " 479.938,303.841 479.981,303.841 480.025,303.841 480.069,303.841 480.113,303.841 480.157,303.841 480.201,303.841 480.244,303.841 480.288,303.841 480.332,303.841 \n", " 480.376,303.841 480.42,303.841 480.464,303.841 480.507,303.841 480.551,303.841 480.595,303.841 480.639,303.841 480.683,303.841 480.727,303.841 480.77,303.841 \n", " 480.814,303.841 480.858,303.841 480.902,303.841 480.946,303.841 480.99,303.841 481.034,303.841 481.077,303.841 481.121,303.841 481.165,303.841 481.209,303.841 \n", " 481.253,303.841 481.297,303.841 481.34,303.841 481.384,303.841 481.428,303.841 481.472,303.841 481.516,303.841 481.56,303.841 481.603,303.841 481.647,303.841 \n", " 481.691,303.841 481.735,303.841 481.779,303.841 481.823,303.841 481.866,303.841 481.91,303.841 481.954,303.841 481.998,307.499 482.042,307.499 482.086,307.499 \n", " 482.129,307.499 482.173,307.499 482.217,307.499 482.261,307.499 482.305,307.499 482.349,307.499 482.392,307.499 482.436,307.499 482.48,307.499 482.524,307.499 \n", " 482.568,307.499 482.612,307.499 482.655,307.499 482.699,307.499 482.743,307.499 482.787,311.156 482.831,311.156 482.875,311.156 482.919,311.156 482.962,311.156 \n", " 483.006,311.156 483.05,311.156 483.094,311.156 483.138,311.156 483.182,311.156 483.225,311.156 483.269,311.156 483.313,311.156 483.357,311.156 483.401,311.156 \n", " 483.445,311.156 483.488,311.156 483.532,311.156 483.576,311.156 483.62,311.156 483.664,311.156 483.708,311.156 483.751,311.156 483.795,311.156 483.839,311.156 \n", " 483.883,311.156 483.927,311.156 483.971,311.156 484.014,311.156 484.058,311.156 484.102,311.156 484.146,311.156 484.19,311.156 484.234,311.156 484.277,311.156 \n", " 484.321,311.156 484.365,311.156 484.409,311.156 484.453,311.156 484.497,311.156 484.541,314.814 484.584,318.471 484.628,318.471 484.672,318.471 484.716,318.471 \n", " 484.76,318.471 484.804,318.471 484.847,318.471 484.891,318.471 484.935,318.471 484.979,318.471 485.023,318.471 485.067,318.471 485.11,318.471 485.154,318.471 \n", " 485.198,318.471 485.242,318.471 485.286,318.471 485.33,318.471 485.373,318.471 485.417,318.471 485.461,318.471 485.505,318.471 485.549,318.471 485.593,318.471 \n", " 485.636,318.471 485.68,318.471 485.724,318.471 485.768,318.471 485.812,318.471 485.856,318.471 485.899,318.471 485.943,318.471 485.987,318.471 486.031,318.471 \n", " 486.075,318.471 486.119,318.471 486.162,318.471 486.206,318.471 486.25,318.471 486.294,318.471 486.338,318.471 486.382,318.471 486.426,318.471 486.469,318.471 \n", " 486.513,318.471 486.557,318.471 486.601,318.471 486.645,318.471 486.689,318.471 486.732,318.471 486.776,318.471 486.82,318.471 486.864,318.471 486.908,318.471 \n", " 486.952,318.471 486.995,318.471 487.039,318.471 487.083,318.471 487.127,318.471 487.171,318.471 487.215,318.471 487.258,318.471 487.302,318.471 487.346,318.471 \n", " 487.39,318.471 487.434,318.471 487.478,318.471 487.521,318.471 487.565,318.471 487.609,318.471 487.653,318.471 487.697,318.471 487.741,318.471 487.784,318.471 \n", " 487.828,318.471 487.872,318.471 487.916,318.471 487.96,318.471 488.004,318.471 488.048,318.471 488.091,318.471 488.135,318.471 488.179,318.471 488.223,318.471 \n", " 488.267,318.471 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178.38,355.045 178.424,355.045 178.467,355.045 178.511,355.045 178.555,355.045 178.599,355.045 178.643,355.045 178.687,355.045 178.73,355.045 \n", " 178.774,355.045 178.818,355.045 178.862,355.045 178.906,355.045 178.95,355.045 178.993,355.045 179.037,355.045 179.081,355.045 179.125,355.045 179.169,355.045 \n", " 179.213,355.045 179.256,355.045 179.3,355.045 179.344,355.045 179.388,355.045 179.432,355.045 179.476,355.045 179.52,355.045 179.563,355.045 179.607,355.045 \n", " 179.651,355.045 179.695,355.045 179.739,355.045 179.783,355.045 179.826,355.045 179.87,355.045 179.914,355.045 179.958,355.045 180.002,355.045 180.046,355.045 \n", " 180.089,355.045 180.133,355.045 180.177,355.045 180.221,355.045 180.265,355.045 180.309,355.045 180.352,355.045 180.396,355.045 180.44,355.045 180.484,355.045 \n", " 180.528,355.045 180.572,355.045 180.615,355.045 180.659,355.045 180.703,355.045 180.747,355.045 180.791,355.045 180.835,355.045 180.878,355.045 180.922,355.045 \n", " 180.966,355.045 181.01,355.045 181.054,355.045 181.098,355.045 181.141,355.045 181.185,355.045 181.229,355.045 181.273,355.045 181.317,355.045 181.361,355.045 \n", " 181.405,355.045 181.448,355.045 181.492,355.045 181.536,355.045 181.58,355.045 181.624,355.045 181.668,355.045 181.711,355.045 181.755,355.045 181.799,355.045 \n", " 181.843,355.045 181.887,355.045 181.931,355.045 181.974,355.045 182.018,351.387 182.062,351.387 182.106,351.387 182.15,351.387 182.194,351.387 182.237,351.387 \n", " 182.281,351.387 182.325,351.387 182.369,351.387 182.413,351.387 182.457,351.387 182.5,351.387 182.544,351.387 182.588,351.387 182.632,351.387 182.676,351.387 \n", " 182.72,351.387 182.763,351.387 182.807,351.387 182.851,351.387 182.895,351.387 182.939,351.387 182.983,351.387 183.027,351.387 183.07,351.387 183.114,351.387 \n", " 183.158,351.387 183.202,351.387 183.246,351.387 183.29,351.387 183.333,351.387 183.377,351.387 183.421,351.387 183.465,351.387 183.509,351.387 183.553,351.387 \n", " 183.596,351.387 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186.27,351.387 186.314,351.387 186.358,351.387 186.402,351.387 186.446,351.387 186.49,351.387 186.533,351.387 186.577,351.387 186.621,351.387 \n", " 186.665,351.387 186.709,351.387 186.753,351.387 186.797,351.387 186.84,351.387 186.884,351.387 186.928,351.387 186.972,351.387 187.016,351.387 187.06,351.387 \n", " 187.103,351.387 187.147,351.387 187.191,351.387 187.235,351.387 187.279,351.387 187.323,351.387 187.366,351.387 187.41,351.387 187.454,351.387 187.498,351.387 \n", " 187.542,351.387 187.586,351.387 187.629,351.387 187.673,351.387 187.717,351.387 187.761,351.387 187.805,351.387 187.849,351.387 187.892,351.387 187.936,351.387 \n", " 187.98,351.387 188.024,351.387 188.068,351.387 188.112,351.387 188.155,351.387 188.199,351.387 188.243,351.387 188.287,351.387 188.331,351.387 188.375,351.387 \n", " 188.419,351.387 188.462,351.387 188.506,351.387 188.55,351.387 188.594,351.387 188.638,351.387 188.682,351.387 188.725,351.387 188.769,351.387 188.813,351.387 \n", " 188.857,351.387 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236.245,351.387 236.289,351.387 236.333,351.387 236.377,351.387 236.421,351.387 236.464,351.387 236.508,351.387 236.552,351.387 236.596,351.387 \n", " 236.64,351.387 236.684,351.387 236.727,347.73 236.771,347.73 236.815,347.73 236.859,347.73 236.903,347.73 236.947,347.73 236.99,347.73 237.034,347.73 \n", " 237.078,347.73 237.122,347.73 237.166,347.73 237.21,347.73 237.253,347.73 237.297,347.73 237.341,347.73 237.385,347.73 237.429,347.73 237.473,347.73 \n", " 237.516,347.73 237.56,347.73 237.604,347.73 237.648,347.73 237.692,347.73 237.736,347.73 237.779,347.73 237.823,347.73 237.867,347.73 237.911,347.73 \n", " 237.955,347.73 237.999,347.73 238.043,347.73 238.086,347.73 238.13,347.73 238.174,347.73 238.218,347.73 238.262,347.73 238.306,347.73 238.349,347.73 \n", " 238.393,347.73 238.437,347.73 238.481,347.73 238.525,347.73 238.569,347.73 238.612,347.73 238.656,347.73 238.7,347.73 238.744,347.73 238.788,347.73 \n", " 238.832,347.73 238.875,344.073 238.919,344.073 238.963,344.073 239.007,344.073 239.051,344.073 239.095,344.073 239.138,344.073 239.182,344.073 239.226,344.073 \n", " 239.27,344.073 239.314,344.073 239.358,344.073 239.401,344.073 239.445,344.073 239.489,344.073 239.533,344.073 239.577,344.073 239.621,344.073 239.664,344.073 \n", " 239.708,344.073 239.752,344.073 239.796,344.073 239.84,344.073 239.884,344.073 239.928,344.073 239.971,344.073 240.015,344.073 240.059,344.073 240.103,344.073 \n", " 240.147,344.073 240.191,344.073 240.234,344.073 240.278,344.073 240.322,344.073 240.366,344.073 240.41,344.073 240.454,344.073 240.497,344.073 240.541,344.073 \n", " 240.585,344.073 240.629,344.073 240.673,344.073 240.717,344.073 240.76,344.073 240.804,344.073 240.848,344.073 240.892,344.073 240.936,344.073 240.98,344.073 \n", " 241.023,344.073 241.067,344.073 241.111,344.073 241.155,344.073 241.199,344.073 241.243,344.073 241.286,344.073 241.33,344.073 241.374,344.073 241.418,344.073 \n", " 241.462,344.073 241.506,344.073 241.55,344.073 241.593,344.073 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249.528,340.415 249.572,340.415 249.616,340.415 249.659,336.758 249.703,336.758 249.747,336.758 \n", " 249.791,336.758 249.835,336.758 249.879,336.758 249.922,336.758 249.966,336.758 250.01,336.758 250.054,336.758 250.098,336.758 250.142,336.758 250.185,336.758 \n", " 250.229,336.758 250.273,336.758 250.317,336.758 250.361,336.758 250.405,336.758 250.449,336.758 250.492,336.758 250.536,336.758 250.58,336.758 250.624,336.758 \n", " 250.668,336.758 250.712,336.758 250.755,336.758 250.799,336.758 250.843,336.758 250.887,336.758 250.931,336.758 250.975,336.758 251.018,336.758 251.062,336.758 \n", " 251.106,336.758 251.15,336.758 251.194,336.758 251.238,336.758 251.281,336.758 251.325,336.758 251.369,336.758 251.413,336.758 251.457,336.758 251.501,336.758 \n", " 251.544,336.758 251.588,336.758 251.632,336.758 251.676,336.758 251.72,336.758 251.764,336.758 251.807,336.758 251.851,336.758 251.895,336.758 251.939,336.758 \n", " 251.983,336.758 252.027,336.758 252.07,336.758 252.114,336.758 252.158,336.758 252.202,336.758 252.246,336.758 252.29,336.758 252.334,336.758 252.377,336.758 \n", " 252.421,336.758 252.465,336.758 252.509,336.758 252.553,336.758 252.597,336.758 252.64,336.758 252.684,336.758 252.728,336.758 252.772,336.758 252.816,336.758 \n", " 252.86,336.758 252.903,336.758 252.947,336.758 252.991,336.758 253.035,336.758 253.079,333.1 253.123,333.1 253.166,333.1 253.21,333.1 253.254,333.1 \n", " 253.298,333.1 253.342,333.1 253.386,333.1 253.429,333.1 253.473,333.1 253.517,333.1 253.561,333.1 253.605,333.1 253.649,333.1 253.692,333.1 \n", " 253.736,333.1 253.78,333.1 253.824,333.1 253.868,333.1 253.912,333.1 253.956,333.1 253.999,333.1 254.043,333.1 254.087,333.1 254.131,333.1 \n", " 254.175,333.1 254.219,333.1 254.262,333.1 254.306,333.1 254.35,333.1 254.394,333.1 254.438,333.1 254.482,333.1 254.525,333.1 254.569,333.1 \n", " 254.613,333.1 254.657,333.1 254.701,333.1 254.745,333.1 254.788,333.1 254.832,333.1 254.876,333.1 254.92,333.1 254.964,333.1 255.008,333.1 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257.901,329.443 257.945,329.443 257.989,329.443 258.032,329.443 258.076,329.443 \n", " 258.12,329.443 258.164,329.443 258.208,329.443 258.252,329.443 258.295,329.443 258.339,329.443 258.383,329.443 258.427,329.443 258.471,329.443 258.515,329.443 \n", " 258.558,329.443 258.602,329.443 258.646,329.443 258.69,329.443 258.734,329.443 258.778,329.443 258.821,329.443 258.865,329.443 258.909,329.443 258.953,329.443 \n", " 258.997,329.443 259.041,329.443 259.084,329.443 259.128,329.443 259.172,329.443 259.216,329.443 259.26,329.443 259.304,329.443 259.348,329.443 259.391,329.443 \n", " 259.435,329.443 259.479,329.443 259.523,329.443 259.567,329.443 259.611,329.443 259.654,329.443 259.698,329.443 259.742,329.443 259.786,329.443 259.83,329.443 \n", " 259.874,329.443 259.917,329.443 259.961,329.443 260.005,329.443 260.049,329.443 260.093,329.443 260.137,329.443 260.18,329.443 260.224,329.443 260.268,329.443 \n", " 260.312,329.443 260.356,329.443 260.4,329.443 260.443,325.786 260.487,325.786 260.531,325.786 260.575,325.786 260.619,325.786 260.663,325.786 260.706,325.786 \n", " 260.75,325.786 260.794,325.786 260.838,325.786 260.882,325.786 260.926,325.786 260.969,325.786 261.013,325.786 261.057,325.786 261.101,325.786 261.145,325.786 \n", " 261.189,325.786 261.233,325.786 261.276,325.786 261.32,325.786 261.364,325.786 261.408,325.786 261.452,325.786 261.496,325.786 261.539,325.786 261.583,325.786 \n", " 261.627,325.786 261.671,325.786 261.715,325.786 261.759,325.786 261.802,325.786 261.846,325.786 261.89,325.786 261.934,325.786 261.978,325.786 262.022,325.786 \n", " 262.065,325.786 262.109,325.786 262.153,325.786 262.197,325.786 262.241,325.786 262.285,325.786 262.328,325.786 262.372,325.786 262.416,325.786 262.46,322.128 \n", " 262.504,322.128 262.548,322.128 262.591,322.128 262.635,322.128 262.679,322.128 262.723,322.128 262.767,322.128 262.811,322.128 262.855,322.128 262.898,322.128 \n", " 262.942,322.128 262.986,322.128 263.03,322.128 263.074,322.128 263.118,322.128 263.161,322.128 263.205,322.128 263.249,322.128 263.293,322.128 263.337,322.128 \n", " 263.381,322.128 263.424,322.128 263.468,322.128 263.512,322.128 263.556,322.128 263.6,322.128 263.644,322.128 263.687,322.128 263.731,322.128 263.775,322.128 \n", " 263.819,322.128 263.863,322.128 263.907,322.128 263.95,322.128 263.994,322.128 264.038,322.128 264.082,322.128 264.126,322.128 264.17,322.128 264.213,322.128 \n", " 264.257,322.128 264.301,322.128 264.345,322.128 264.389,322.128 264.433,322.128 264.476,322.128 264.52,322.128 264.564,322.128 264.608,322.128 264.652,322.128 \n", " 264.696,322.128 264.74,322.128 264.783,322.128 264.827,322.128 264.871,322.128 264.915,322.128 264.959,322.128 265.003,322.128 265.046,322.128 265.09,322.128 \n", " 265.134,322.128 265.178,322.128 265.222,322.128 265.266,322.128 265.309,322.128 265.353,322.128 265.397,322.128 265.441,322.128 265.485,322.128 265.529,322.128 \n", " 265.572,322.128 265.616,322.128 265.66,322.128 265.704,322.128 265.748,322.128 265.792,322.128 265.835,322.128 265.879,322.128 265.923,322.128 265.967,322.128 \n", " 266.011,322.128 266.055,322.128 266.098,322.128 266.142,322.128 266.186,322.128 266.23,322.128 266.274,322.128 266.318,322.128 266.362,322.128 266.405,322.128 \n", " 266.449,322.128 266.493,322.128 266.537,322.128 266.581,322.128 266.625,322.128 266.668,322.128 266.712,322.128 266.756,322.128 266.8,322.128 266.844,322.128 \n", " 266.888,322.128 266.931,322.128 266.975,322.128 267.019,318.471 267.063,318.471 267.107,318.471 267.151,318.471 267.194,318.471 267.238,318.471 267.282,318.471 \n", " 267.326,318.471 267.37,318.471 267.414,318.471 267.457,318.471 267.501,318.471 267.545,318.471 267.589,318.471 267.633,318.471 267.677,318.471 267.72,318.471 \n", " 267.764,318.471 267.808,318.471 267.852,318.471 267.896,318.471 267.94,318.471 267.983,318.471 268.027,318.471 268.071,318.471 268.115,318.471 268.159,318.471 \n", " 268.203,318.471 268.247,318.471 268.29,318.471 268.334,318.471 268.378,318.471 268.422,318.471 268.466,318.471 268.51,318.471 268.553,318.471 268.597,318.471 \n", " 268.641,318.471 268.685,318.471 268.729,318.471 268.773,318.471 268.816,318.471 268.86,318.471 268.904,318.471 268.948,318.471 268.992,318.471 269.036,318.471 \n", " 269.079,318.471 269.123,318.471 269.167,318.471 269.211,318.471 269.255,318.471 269.299,318.471 269.342,318.471 269.386,318.471 269.43,318.471 269.474,318.471 \n", " 269.518,318.471 269.562,318.471 269.605,318.471 269.649,318.471 269.693,318.471 269.737,318.471 269.781,318.471 269.825,318.471 269.868,318.471 269.912,318.471 \n", " 269.956,318.471 270,318.471 270.044,318.471 270.088,318.471 270.132,318.471 270.175,318.471 270.219,318.471 270.263,318.471 270.307,318.471 270.351,318.471 \n", " 270.395,318.471 270.438,318.471 270.482,318.471 270.526,318.471 270.57,318.471 270.614,318.471 270.658,318.471 270.701,318.471 270.745,318.471 270.789,318.471 \n", " 270.833,318.471 270.877,318.471 270.921,318.471 270.964,318.471 271.008,318.471 271.052,318.471 271.096,318.471 271.14,318.471 271.184,318.471 271.227,318.471 \n", " 271.271,318.471 271.315,318.471 271.359,318.471 271.403,318.471 271.447,318.471 271.49,318.471 271.534,318.471 271.578,318.471 271.622,318.471 271.666,318.471 \n", " 271.71,318.471 271.754,318.471 271.797,318.471 271.841,318.471 271.885,318.471 271.929,318.471 271.973,318.471 272.017,318.471 272.06,318.471 272.104,314.814 \n", " 272.148,314.814 272.192,314.814 272.236,314.814 272.28,314.814 272.323,314.814 272.367,314.814 272.411,318.471 272.455,318.471 272.499,318.471 272.543,318.471 \n", " 272.586,318.471 272.63,318.471 272.674,318.471 272.718,318.471 272.762,318.471 272.806,318.471 272.849,318.471 272.893,318.471 272.937,318.471 272.981,318.471 \n", " 273.025,318.471 273.069,318.471 273.112,318.471 273.156,318.471 273.2,318.471 273.244,318.471 273.288,318.471 273.332,318.471 273.375,318.471 273.419,318.471 \n", " 273.463,318.471 273.507,318.471 273.551,318.471 273.595,318.471 273.639,318.471 273.682,318.471 273.726,318.471 273.77,318.471 273.814,318.471 273.858,318.471 \n", " 273.902,318.471 273.945,318.471 273.989,318.471 274.033,318.471 274.077,318.471 274.121,318.471 274.165,318.471 274.208,318.471 274.252,318.471 274.296,318.471 \n", " 274.34,318.471 274.384,318.471 274.428,318.471 274.471,318.471 274.515,318.471 274.559,322.128 274.603,322.128 274.647,322.128 274.691,322.128 274.734,322.128 \n", " 274.778,322.128 274.822,322.128 274.866,322.128 274.91,322.128 274.954,322.128 274.997,322.128 275.041,322.128 275.085,322.128 275.129,322.128 275.173,322.128 \n", " 275.217,322.128 275.261,322.128 275.304,322.128 275.348,322.128 275.392,322.128 275.436,322.128 275.48,322.128 275.524,322.128 275.567,322.128 275.611,322.128 \n", " 275.655,322.128 275.699,322.128 275.743,322.128 275.787,322.128 275.83,322.128 275.874,322.128 275.918,322.128 275.962,322.128 276.006,322.128 276.05,322.128 \n", " 276.093,322.128 276.137,322.128 276.181,322.128 276.225,322.128 276.269,322.128 276.313,322.128 276.356,322.128 276.4,322.128 276.444,322.128 276.488,322.128 \n", " 276.532,322.128 276.576,322.128 276.619,322.128 276.663,322.128 276.707,322.128 276.751,322.128 276.795,322.128 276.839,322.128 276.882,322.128 276.926,322.128 \n", " 276.97,322.128 277.014,322.128 277.058,322.128 277.102,322.128 277.146,322.128 277.189,322.128 277.233,322.128 277.277,322.128 277.321,322.128 277.365,322.128 \n", " 277.409,322.128 277.452,325.786 277.496,325.786 277.54,325.786 277.584,325.786 277.628,325.786 277.672,325.786 277.715,325.786 277.759,325.786 277.803,325.786 \n", " 277.847,325.786 277.891,325.786 277.935,325.786 277.978,325.786 278.022,325.786 278.066,325.786 278.11,325.786 278.154,325.786 278.198,325.786 278.241,325.786 \n", " 278.285,325.786 278.329,325.786 278.373,325.786 278.417,325.786 278.461,325.786 278.504,325.786 278.548,325.786 278.592,325.786 278.636,325.786 278.68,325.786 \n", " 278.724,325.786 278.768,325.786 278.811,325.786 278.855,325.786 278.899,325.786 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286.834,322.128 286.877,322.128 286.921,322.128 286.965,322.128 287.009,322.128 \n", " 287.053,322.128 287.097,322.128 287.14,322.128 287.184,322.128 287.228,322.128 287.272,322.128 287.316,322.128 287.36,322.128 287.403,322.128 287.447,322.128 \n", " 287.491,322.128 287.535,322.128 287.579,322.128 287.623,322.128 287.667,322.128 287.71,322.128 287.754,322.128 287.798,322.128 287.842,322.128 287.886,322.128 \n", " 287.93,322.128 287.973,322.128 288.017,322.128 288.061,322.128 288.105,322.128 288.149,322.128 288.193,322.128 288.236,322.128 288.28,322.128 288.324,322.128 \n", " 288.368,322.128 288.412,322.128 288.456,322.128 288.499,322.128 288.543,322.128 288.587,322.128 288.631,322.128 288.675,322.128 288.719,322.128 288.762,322.128 \n", " 288.806,322.128 288.85,322.128 288.894,322.128 288.938,322.128 288.982,322.128 289.025,322.128 289.069,322.128 289.113,322.128 289.157,322.128 289.201,322.128 \n", " 289.245,322.128 289.288,322.128 289.332,322.128 289.376,322.128 289.42,322.128 289.464,322.128 289.508,322.128 289.552,322.128 289.595,322.128 289.639,322.128 \n", " 289.683,322.128 289.727,322.128 289.771,322.128 289.815,322.128 289.858,322.128 289.902,322.128 289.946,322.128 289.99,322.128 290.034,322.128 290.078,322.128 \n", " 290.121,322.128 290.165,322.128 290.209,322.128 290.253,322.128 290.297,322.128 290.341,322.128 290.384,322.128 290.428,322.128 290.472,322.128 290.516,322.128 \n", " 290.56,322.128 290.604,322.128 290.647,322.128 290.691,322.128 290.735,322.128 290.779,322.128 290.823,322.128 290.867,322.128 290.91,322.128 290.954,322.128 \n", " 290.998,322.128 291.042,322.128 291.086,322.128 291.13,322.128 291.174,322.128 291.217,322.128 291.261,322.128 291.305,322.128 291.349,322.128 291.393,322.128 \n", " 291.437,322.128 291.48,322.128 291.524,322.128 291.568,322.128 291.612,322.128 291.656,322.128 291.7,322.128 291.743,322.128 291.787,322.128 291.831,322.128 \n", " 291.875,322.128 291.919,322.128 291.963,322.128 292.006,322.128 292.05,322.128 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297.355,318.471 297.398,318.471 297.442,318.471 297.486,318.471 297.53,318.471 \n", " 297.574,318.471 297.618,318.471 297.661,318.471 297.705,318.471 297.749,318.471 297.793,318.471 297.837,318.471 297.881,318.471 297.924,318.471 297.968,318.471 \n", " 298.012,318.471 298.056,318.471 298.1,318.471 298.144,318.471 298.187,318.471 298.231,318.471 298.275,318.471 298.319,318.471 298.363,318.471 298.407,318.471 \n", " 298.451,318.471 298.494,318.471 298.538,318.471 298.582,318.471 298.626,318.471 298.67,318.471 298.714,318.471 298.757,318.471 298.801,318.471 298.845,318.471 \n", " 298.889,318.471 298.933,318.471 298.977,318.471 299.02,318.471 299.064,318.471 299.108,318.471 299.152,318.471 299.196,318.471 299.24,318.471 299.283,318.471 \n", " 299.327,318.471 299.371,318.471 299.415,318.471 299.459,318.471 299.503,318.471 299.546,318.471 299.59,318.471 299.634,318.471 299.678,318.471 299.722,318.471 \n", " 299.766,318.471 299.809,318.471 299.853,318.471 299.897,318.471 299.941,318.471 299.985,318.471 300.029,318.471 300.073,318.471 300.116,318.471 300.16,314.814 \n", " 300.204,314.814 300.248,314.814 300.292,314.814 300.336,314.814 300.379,314.814 300.423,314.814 300.467,314.814 300.511,314.814 300.555,314.814 300.599,314.814 \n", " 300.642,314.814 300.686,314.814 300.73,314.814 300.774,314.814 300.818,314.814 300.862,314.814 300.905,314.814 300.949,314.814 300.993,314.814 301.037,314.814 \n", " 301.081,314.814 301.125,314.814 301.168,314.814 301.212,314.814 301.256,314.814 301.3,314.814 301.344,314.814 301.388,314.814 301.431,314.814 301.475,314.814 \n", " 301.519,314.814 301.563,314.814 301.607,314.814 301.651,314.814 301.694,314.814 301.738,314.814 301.782,314.814 301.826,314.814 301.87,314.814 301.914,314.814 \n", " 301.958,314.814 302.001,314.814 302.045,314.814 302.089,314.814 302.133,314.814 302.177,314.814 302.221,314.814 302.264,314.814 302.308,314.814 302.352,314.814 \n", " 302.396,314.814 302.44,314.814 302.484,314.814 302.527,314.814 302.571,314.814 302.615,314.814 302.659,314.814 302.703,314.814 302.747,314.814 302.79,314.814 \n", " 302.834,314.814 302.878,314.814 302.922,314.814 302.966,314.814 303.01,314.814 303.053,314.814 303.097,314.814 303.141,314.814 303.185,314.814 303.229,314.814 \n", " 303.273,314.814 303.316,314.814 303.36,314.814 303.404,314.814 303.448,314.814 303.492,314.814 303.536,314.814 303.579,314.814 303.623,314.814 303.667,314.814 \n", " 303.711,314.814 303.755,314.814 303.799,314.814 303.843,314.814 303.886,314.814 303.93,314.814 303.974,314.814 304.018,314.814 304.062,314.814 304.106,314.814 \n", " 304.149,314.814 304.193,314.814 304.237,314.814 304.281,314.814 304.325,314.814 304.369,314.814 304.412,314.814 304.456,314.814 304.5,314.814 304.544,314.814 \n", " 304.588,314.814 304.632,314.814 304.675,314.814 304.719,314.814 304.763,314.814 304.807,314.814 304.851,314.814 304.895,314.814 304.938,314.814 304.982,314.814 \n", " 305.026,314.814 305.07,311.156 305.114,311.156 305.158,311.156 305.201,311.156 305.245,311.156 305.289,311.156 305.333,311.156 305.377,311.156 305.421,311.156 \n", " 305.465,311.156 305.508,311.156 305.552,311.156 305.596,311.156 305.64,311.156 305.684,311.156 305.728,311.156 305.771,311.156 305.815,311.156 305.859,311.156 \n", " 305.903,311.156 305.947,311.156 305.991,311.156 306.034,311.156 306.078,311.156 306.122,311.156 306.166,311.156 306.21,311.156 306.254,311.156 306.297,311.156 \n", " 306.341,311.156 306.385,311.156 306.429,307.499 306.473,307.499 306.517,307.499 306.56,307.499 306.604,307.499 306.648,307.499 306.692,307.499 306.736,307.499 \n", " 306.78,307.499 306.823,307.499 306.867,307.499 306.911,307.499 306.955,307.499 306.999,307.499 307.043,307.499 307.086,307.499 307.13,307.499 307.174,307.499 \n", " 307.218,307.499 307.262,307.499 307.306,307.499 307.35,307.499 307.393,307.499 307.437,307.499 307.481,307.499 307.525,307.499 307.569,307.499 307.613,307.499 \n", " 307.656,307.499 307.7,307.499 307.744,307.499 307.788,307.499 307.832,307.499 307.876,307.499 307.919,307.499 307.963,307.499 308.007,307.499 308.051,307.499 \n", " 308.095,307.499 308.139,307.499 308.182,307.499 308.226,307.499 308.27,307.499 308.314,307.499 308.358,307.499 308.402,307.499 308.445,307.499 308.489,307.499 \n", " 308.533,307.499 308.577,307.499 308.621,307.499 308.665,307.499 308.708,307.499 308.752,307.499 308.796,307.499 308.84,307.499 308.884,307.499 308.928,307.499 \n", " 308.972,307.499 309.015,307.499 309.059,307.499 309.103,307.499 309.147,307.499 309.191,307.499 309.235,307.499 309.278,307.499 309.322,307.499 309.366,303.841 \n", " 309.41,303.841 309.454,303.841 309.498,303.841 309.541,303.841 309.585,303.841 309.629,303.841 309.673,303.841 309.717,303.841 309.761,303.841 309.804,303.841 \n", " 309.848,303.841 309.892,303.841 309.936,303.841 309.98,303.841 310.024,303.841 310.067,303.841 310.111,303.841 310.155,303.841 310.199,303.841 310.243,303.841 \n", " 310.287,303.841 310.33,300.184 310.374,300.184 310.418,300.184 310.462,300.184 310.506,300.184 310.55,300.184 310.593,300.184 310.637,300.184 310.681,300.184 \n", " 310.725,300.184 310.769,300.184 310.813,300.184 310.857,300.184 310.9,300.184 310.944,300.184 310.988,300.184 311.032,300.184 311.076,300.184 311.12,300.184 \n", " 311.163,296.527 311.207,296.527 311.251,296.527 311.295,296.527 311.339,296.527 311.383,296.527 311.426,296.527 311.47,296.527 311.514,296.527 311.558,296.527 \n", " 311.602,296.527 311.646,296.527 311.689,296.527 311.733,296.527 311.777,296.527 311.821,296.527 311.865,296.527 311.909,296.527 311.952,296.527 311.996,296.527 \n", " 312.04,296.527 312.084,296.527 312.128,296.527 312.172,296.527 312.215,296.527 312.259,296.527 312.303,296.527 312.347,296.527 312.391,296.527 312.435,296.527 \n", " 312.479,296.527 312.522,296.527 312.566,296.527 312.61,296.527 312.654,296.527 312.698,296.527 312.742,296.527 312.785,296.527 312.829,296.527 312.873,296.527 \n", " 312.917,296.527 312.961,296.527 313.005,296.527 313.048,296.527 313.092,296.527 313.136,296.527 313.18,296.527 313.224,296.527 313.268,296.527 313.311,296.527 \n", " 313.355,296.527 313.399,296.527 313.443,296.527 313.487,296.527 313.531,296.527 313.574,296.527 313.618,296.527 313.662,296.527 313.706,296.527 313.75,296.527 \n", " 313.794,296.527 313.837,296.527 313.881,296.527 313.925,296.527 313.969,296.527 314.013,296.527 314.057,296.527 314.1,296.527 314.144,292.869 314.188,292.869 \n", " 314.232,292.869 314.276,292.869 314.32,292.869 314.364,292.869 314.407,292.869 314.451,292.869 314.495,292.869 314.539,292.869 314.583,292.869 314.627,292.869 \n", " 314.67,292.869 314.714,292.869 314.758,292.869 314.802,292.869 314.846,292.869 314.89,292.869 314.933,292.869 314.977,292.869 315.021,292.869 315.065,292.869 \n", " 315.109,292.869 315.153,292.869 315.196,292.869 315.24,292.869 315.284,292.869 315.328,292.869 315.372,292.869 315.416,292.869 315.459,292.869 315.503,292.869 \n", " 315.547,292.869 315.591,292.869 315.635,292.869 315.679,292.869 315.722,292.869 315.766,292.869 315.81,292.869 315.854,292.869 315.898,292.869 315.942,292.869 \n", " 315.985,292.869 316.029,292.869 316.073,292.869 316.117,292.869 316.161,292.869 316.205,292.869 316.249,292.869 316.292,292.869 316.336,292.869 316.38,292.869 \n", " 316.424,292.869 316.468,292.869 316.512,292.869 316.555,292.869 316.599,292.869 316.643,292.869 316.687,292.869 316.731,292.869 316.775,292.869 316.818,292.869 \n", " 316.862,292.869 316.906,292.869 316.95,292.869 316.994,292.869 317.038,292.869 317.081,292.869 317.125,292.869 317.169,292.869 317.213,292.869 317.257,292.869 \n", " 317.301,292.869 317.344,292.869 317.388,292.869 317.432,292.869 317.476,292.869 317.52,292.869 317.564,292.869 317.607,292.869 317.651,292.869 317.695,292.869 \n", " 317.739,292.869 317.783,292.869 317.827,292.869 317.871,292.869 317.914,292.869 317.958,292.869 318.002,292.869 318.046,292.869 318.09,292.869 318.134,292.869 \n", " 318.177,292.869 318.221,292.869 318.265,292.869 318.309,292.869 318.353,292.869 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328.918,289.212 328.961,289.212 329.005,289.212 329.049,289.212 329.093,289.212 \n", " 329.137,289.212 329.181,289.212 329.224,289.212 329.268,289.212 329.312,289.212 329.356,289.212 329.4,289.212 329.444,289.212 329.487,289.212 329.531,289.212 \n", " 329.575,289.212 329.619,289.212 329.663,289.212 329.707,289.212 329.75,289.212 329.794,289.212 329.838,289.212 329.882,289.212 329.926,289.212 329.97,289.212 \n", " 330.013,289.212 330.057,289.212 330.101,289.212 330.145,289.212 330.189,289.212 330.233,289.212 330.277,289.212 330.32,289.212 330.364,289.212 330.408,289.212 \n", " 330.452,289.212 330.496,289.212 330.54,289.212 330.583,289.212 330.627,289.212 330.671,289.212 330.715,289.212 330.759,289.212 330.803,289.212 330.846,289.212 \n", " 330.89,289.212 330.934,289.212 330.978,289.212 331.022,289.212 331.066,289.212 331.109,289.212 331.153,289.212 331.197,289.212 331.241,289.212 331.285,289.212 \n", " 331.329,289.212 331.372,289.212 331.416,289.212 331.46,289.212 331.504,289.212 331.548,289.212 331.592,289.212 331.635,289.212 331.679,289.212 331.723,289.212 \n", " 331.767,289.212 331.811,292.869 331.855,292.869 331.898,292.869 331.942,292.869 331.986,292.869 332.03,292.869 332.074,292.869 332.118,292.869 332.162,292.869 \n", " 332.205,292.869 332.249,292.869 332.293,292.869 332.337,292.869 332.381,292.869 332.425,292.869 332.468,292.869 332.512,292.869 332.556,292.869 332.6,292.869 \n", " 332.644,292.869 332.688,292.869 332.731,292.869 332.775,292.869 332.819,292.869 332.863,292.869 332.907,292.869 332.951,292.869 332.994,292.869 333.038,292.869 \n", " 333.082,292.869 333.126,292.869 333.17,292.869 333.214,292.869 333.257,292.869 333.301,292.869 333.345,292.869 333.389,292.869 333.433,292.869 333.477,292.869 \n", " 333.52,292.869 333.564,292.869 333.608,292.869 333.652,292.869 333.696,292.869 333.74,292.869 333.784,292.869 333.827,292.869 333.871,292.869 333.915,292.869 \n", " 333.959,292.869 334.003,292.869 334.047,292.869 334.09,292.869 334.134,292.869 334.178,292.869 334.222,292.869 334.266,292.869 334.31,292.869 334.353,292.869 \n", " 334.397,292.869 334.441,292.869 334.485,292.869 334.529,289.212 334.573,289.212 334.616,289.212 334.66,289.212 334.704,289.212 334.748,289.212 334.792,289.212 \n", " 334.836,289.212 334.879,289.212 334.923,289.212 334.967,289.212 335.011,289.212 335.055,289.212 335.099,289.212 335.142,289.212 335.186,289.212 335.23,289.212 \n", " 335.274,289.212 335.318,289.212 335.362,289.212 335.405,289.212 335.449,289.212 335.493,289.212 335.537,289.212 335.581,289.212 335.625,289.212 335.669,289.212 \n", " 335.712,289.212 335.756,289.212 335.8,289.212 335.844,289.212 335.888,289.212 335.932,289.212 335.975,289.212 336.019,289.212 336.063,289.212 336.107,289.212 \n", " 336.151,289.212 336.195,289.212 336.238,289.212 336.282,289.212 336.326,285.555 336.37,285.555 336.414,285.555 336.458,285.555 336.501,285.555 336.545,285.555 \n", " 336.589,285.555 336.633,285.555 336.677,285.555 336.721,285.555 336.764,285.555 336.808,285.555 336.852,285.555 336.896,285.555 336.94,285.555 336.984,285.555 \n", " 337.027,285.555 337.071,285.555 337.115,285.555 337.159,285.555 337.203,285.555 337.247,285.555 337.291,285.555 337.334,285.555 337.378,285.555 337.422,285.555 \n", " 337.466,285.555 337.51,285.555 337.554,285.555 337.597,285.555 337.641,285.555 337.685,285.555 337.729,285.555 337.773,285.555 337.817,285.555 337.86,285.555 \n", " 337.904,285.555 337.948,285.555 337.992,285.555 338.036,285.555 338.08,285.555 338.123,285.555 338.167,285.555 338.211,285.555 338.255,285.555 338.299,285.555 \n", " 338.343,285.555 338.386,285.555 338.43,285.555 338.474,285.555 338.518,285.555 338.562,285.555 338.606,285.555 338.649,285.555 338.693,285.555 338.737,285.555 \n", " 338.781,285.555 338.825,285.555 338.869,285.555 338.912,285.555 338.956,285.555 339,285.555 339.044,285.555 339.088,285.555 339.132,285.555 339.176,285.555 \n", " 339.219,281.897 339.263,281.897 339.307,281.897 339.351,281.897 339.395,281.897 339.439,281.897 339.482,281.897 339.526,281.897 339.57,281.897 339.614,281.897 \n", " 339.658,281.897 339.702,281.897 339.745,281.897 339.789,281.897 339.833,281.897 339.877,281.897 339.921,281.897 339.965,281.897 340.008,281.897 340.052,281.897 \n", " 340.096,281.897 340.14,281.897 340.184,281.897 340.228,281.897 340.271,281.897 340.315,281.897 340.359,281.897 340.403,281.897 340.447,281.897 340.491,281.897 \n", " 340.534,281.897 340.578,281.897 340.622,281.897 340.666,281.897 340.71,281.897 340.754,281.897 340.797,281.897 340.841,281.897 340.885,281.897 340.929,281.897 \n", " 340.973,281.897 341.017,281.897 341.061,281.897 341.104,281.897 341.148,281.897 341.192,281.897 341.236,281.897 341.28,281.897 341.324,281.897 341.367,281.897 \n", " 341.411,281.897 341.455,281.897 341.499,281.897 341.543,281.897 341.587,281.897 341.63,281.897 341.674,281.897 341.718,281.897 341.762,281.897 341.806,281.897 \n", " 341.85,281.897 341.893,281.897 341.937,281.897 341.981,281.897 342.025,281.897 342.069,281.897 342.113,281.897 342.156,281.897 342.2,281.897 342.244,281.897 \n", " 342.288,281.897 342.332,281.897 342.376,281.897 342.419,281.897 342.463,281.897 342.507,281.897 342.551,281.897 342.595,281.897 342.639,281.897 342.683,281.897 \n", " 342.726,281.897 342.77,281.897 342.814,281.897 342.858,281.897 342.902,281.897 342.946,281.897 342.989,281.897 343.033,281.897 343.077,281.897 343.121,281.897 \n", " 343.165,281.897 343.209,281.897 343.252,281.897 343.296,281.897 343.34,281.897 343.384,281.897 343.428,281.897 343.472,281.897 343.515,281.897 343.559,281.897 \n", " 343.603,281.897 343.647,281.897 343.691,281.897 343.735,281.897 343.778,281.897 343.822,281.897 343.866,281.897 343.91,281.897 343.954,281.897 343.998,281.897 \n", " 344.041,281.897 344.085,281.897 344.129,281.897 344.173,281.897 344.217,281.897 344.261,281.897 344.304,281.897 344.348,281.897 344.392,281.897 344.436,281.897 \n", " 344.48,281.897 344.524,281.897 344.568,281.897 344.611,281.897 344.655,281.897 344.699,281.897 344.743,281.897 344.787,281.897 344.831,278.24 344.874,278.24 \n", " 344.918,278.24 344.962,278.24 345.006,278.24 345.05,278.24 345.094,278.24 345.137,278.24 345.181,278.24 345.225,278.24 345.269,278.24 345.313,278.24 \n", " 345.357,278.24 345.4,278.24 345.444,278.24 345.488,278.24 345.532,278.24 345.576,278.24 345.62,278.24 345.663,278.24 345.707,278.24 345.751,278.24 \n", " 345.795,278.24 345.839,278.24 345.883,278.24 345.926,278.24 345.97,278.24 346.014,278.24 346.058,278.24 346.102,278.24 346.146,278.24 346.19,278.24 \n", " 346.233,278.24 346.277,278.24 346.321,278.24 346.365,278.24 346.409,278.24 346.453,278.24 346.496,278.24 346.54,278.24 346.584,278.24 346.628,278.24 \n", " 346.672,278.24 346.716,278.24 346.759,278.24 346.803,278.24 346.847,278.24 346.891,278.24 346.935,278.24 346.979,278.24 347.022,278.24 347.066,278.24 \n", " 347.11,278.24 347.154,278.24 347.198,278.24 347.242,278.24 347.285,278.24 347.329,278.24 347.373,278.24 347.417,278.24 347.461,278.24 347.505,278.24 \n", " 347.548,278.24 347.592,278.24 347.636,278.24 347.68,278.24 347.724,278.24 347.768,278.24 347.811,274.582 347.855,274.582 347.899,274.582 347.943,274.582 \n", " 347.987,274.582 348.031,274.582 348.075,274.582 348.118,274.582 348.162,274.582 348.206,274.582 348.25,274.582 348.294,274.582 348.338,274.582 348.381,274.582 \n", " 348.425,274.582 348.469,274.582 348.513,274.582 348.557,274.582 348.601,274.582 348.644,274.582 348.688,274.582 348.732,274.582 348.776,274.582 348.82,274.582 \n", " 348.864,274.582 348.907,274.582 348.951,274.582 348.995,274.582 349.039,274.582 349.083,274.582 349.127,274.582 349.17,274.582 349.214,274.582 349.258,274.582 \n", " 349.302,274.582 349.346,274.582 349.39,274.582 349.433,274.582 349.477,274.582 349.521,274.582 349.565,274.582 349.609,274.582 349.653,274.582 349.697,274.582 \n", " 349.74,274.582 349.784,274.582 349.828,274.582 349.872,274.582 349.916,274.582 349.96,274.582 350.003,274.582 350.047,274.582 350.091,274.582 350.135,274.582 \n", " 350.179,274.582 350.223,274.582 350.266,274.582 350.31,274.582 350.354,274.582 350.398,274.582 350.442,274.582 350.486,274.582 350.529,274.582 350.573,274.582 \n", " 350.617,274.582 350.661,274.582 350.705,274.582 350.749,270.925 350.792,270.925 350.836,270.925 350.88,270.925 350.924,270.925 350.968,270.925 351.012,270.925 \n", " 351.055,270.925 351.099,270.925 351.143,270.925 351.187,270.925 351.231,270.925 351.275,270.925 351.318,270.925 351.362,270.925 351.406,270.925 351.45,270.925 \n", " 351.494,270.925 351.538,270.925 351.582,270.925 351.625,270.925 351.669,270.925 351.713,270.925 351.757,267.268 351.801,267.268 351.845,267.268 351.888,267.268 \n", " 351.932,267.268 351.976,267.268 352.02,267.268 352.064,267.268 352.108,267.268 352.151,267.268 352.195,267.268 352.239,267.268 352.283,267.268 352.327,267.268 \n", " 352.371,267.268 352.414,267.268 352.458,267.268 352.502,267.268 352.546,267.268 352.59,267.268 352.634,267.268 352.677,267.268 352.721,267.268 352.765,267.268 \n", " 352.809,267.268 352.853,267.268 352.897,267.268 352.94,267.268 352.984,267.268 353.028,263.61 353.072,263.61 353.116,263.61 353.16,263.61 353.203,263.61 \n", " 353.247,263.61 353.291,263.61 353.335,263.61 353.379,263.61 353.423,263.61 353.467,263.61 353.51,263.61 353.554,263.61 353.598,263.61 353.642,263.61 \n", " 353.686,263.61 353.73,263.61 353.773,263.61 353.817,263.61 353.861,263.61 353.905,263.61 353.949,263.61 353.993,263.61 354.036,263.61 354.08,263.61 \n", " 354.124,263.61 354.168,263.61 354.212,263.61 354.256,263.61 354.299,263.61 354.343,263.61 354.387,263.61 354.431,263.61 354.475,263.61 354.519,263.61 \n", " 354.562,263.61 354.606,263.61 354.65,263.61 354.694,263.61 354.738,263.61 354.782,263.61 354.825,263.61 354.869,263.61 354.913,263.61 354.957,263.61 \n", " 355.001,263.61 355.045,263.61 355.089,263.61 355.132,263.61 355.176,263.61 355.22,263.61 355.264,263.61 355.308,263.61 355.352,263.61 355.395,263.61 \n", " 355.439,263.61 355.483,263.61 355.527,263.61 355.571,263.61 355.615,263.61 355.658,263.61 355.702,263.61 355.746,263.61 355.79,263.61 355.834,263.61 \n", " 355.878,263.61 355.921,263.61 355.965,263.61 356.009,263.61 356.053,259.953 356.097,259.953 356.141,259.953 356.184,259.953 356.228,259.953 356.272,259.953 \n", " 356.316,256.296 356.36,256.296 356.404,256.296 356.447,256.296 356.491,256.296 356.535,256.296 356.579,256.296 356.623,256.296 356.667,256.296 356.71,256.296 \n", " 356.754,256.296 356.798,256.296 356.842,256.296 356.886,256.296 356.93,256.296 356.974,256.296 357.017,256.296 357.061,256.296 357.105,256.296 357.149,256.296 \n", " 357.193,256.296 357.237,256.296 357.28,256.296 357.324,256.296 357.368,256.296 357.412,256.296 357.456,256.296 357.5,256.296 357.543,256.296 357.587,256.296 \n", " 357.631,256.296 357.675,256.296 357.719,256.296 357.763,256.296 357.806,256.296 357.85,256.296 357.894,256.296 357.938,256.296 357.982,256.296 358.026,256.296 \n", " 358.069,256.296 358.113,256.296 358.157,256.296 358.201,256.296 358.245,256.296 358.289,256.296 358.332,256.296 358.376,256.296 358.42,256.296 358.464,256.296 \n", " 358.508,256.296 358.552,256.296 358.596,256.296 358.639,256.296 358.683,256.296 358.727,256.296 358.771,256.296 358.815,256.296 358.859,256.296 358.902,256.296 \n", " 358.946,256.296 358.99,256.296 359.034,256.296 359.078,256.296 359.122,256.296 359.165,256.296 359.209,256.296 359.253,256.296 359.297,256.296 359.341,256.296 \n", " 359.385,256.296 359.428,256.296 359.472,256.296 359.516,256.296 359.56,256.296 359.604,256.296 359.648,256.296 359.691,256.296 359.735,256.296 359.779,256.296 \n", " 359.823,256.296 359.867,256.296 359.911,256.296 359.954,256.296 359.998,256.296 360.042,256.296 360.086,256.296 360.13,256.296 360.174,256.296 360.217,256.296 \n", " 360.261,256.296 360.305,256.296 360.349,256.296 360.393,256.296 360.437,256.296 360.481,256.296 360.524,256.296 360.568,256.296 360.612,256.296 360.656,256.296 \n", " 360.7,256.296 360.744,256.296 360.787,256.296 360.831,256.296 360.875,256.296 360.919,256.296 360.963,252.638 361.007,252.638 361.05,252.638 361.094,252.638 \n", " 361.138,252.638 361.182,248.981 361.226,248.981 361.27,248.981 361.313,248.981 361.357,248.981 361.401,248.981 361.445,248.981 361.489,248.981 361.533,248.981 \n", " 361.576,248.981 361.62,248.981 361.664,248.981 361.708,248.981 361.752,248.981 361.796,248.981 361.839,248.981 361.883,248.981 361.927,248.981 361.971,248.981 \n", " 362.015,248.981 362.059,248.981 362.103,248.981 362.146,248.981 362.19,248.981 362.234,248.981 362.278,248.981 362.322,245.323 362.366,245.323 362.409,245.323 \n", " 362.453,245.323 362.497,245.323 362.541,245.323 362.585,245.323 362.629,245.323 362.672,245.323 362.716,245.323 362.76,245.323 362.804,245.323 362.848,245.323 \n", " 362.892,245.323 362.935,245.323 362.979,245.323 363.023,245.323 363.067,245.323 363.111,245.323 363.155,245.323 363.198,245.323 363.242,245.323 363.286,245.323 \n", " 363.33,245.323 363.374,245.323 363.418,245.323 363.461,245.323 363.505,245.323 363.549,245.323 363.593,245.323 363.637,245.323 363.681,245.323 363.724,245.323 \n", " 363.768,245.323 363.812,245.323 363.856,245.323 363.9,245.323 363.944,245.323 363.988,245.323 364.031,245.323 364.075,245.323 364.119,245.323 364.163,245.323 \n", " 364.207,245.323 364.251,245.323 364.294,245.323 364.338,245.323 364.382,245.323 364.426,245.323 364.47,245.323 364.514,245.323 364.557,245.323 364.601,245.323 \n", " 364.645,245.323 364.689,245.323 364.733,245.323 364.777,245.323 364.82,245.323 364.864,245.323 364.908,245.323 364.952,245.323 364.996,245.323 365.04,245.323 \n", " 365.083,245.323 365.127,245.323 365.171,245.323 365.215,245.323 365.259,245.323 365.303,245.323 365.346,245.323 365.39,245.323 365.434,245.323 365.478,245.323 \n", " 365.522,245.323 365.566,245.323 365.609,245.323 365.653,245.323 365.697,245.323 365.741,245.323 365.785,245.323 365.829,245.323 365.873,245.323 365.916,245.323 \n", " 365.96,245.323 366.004,245.323 366.048,245.323 366.092,245.323 366.136,245.323 366.179,245.323 366.223,245.323 366.267,245.323 366.311,245.323 366.355,245.323 \n", " 366.399,245.323 366.442,245.323 366.486,245.323 366.53,245.323 366.574,245.323 366.618,245.323 366.662,245.323 366.705,245.323 366.749,245.323 366.793,245.323 \n", " 366.837,245.323 366.881,245.323 366.925,245.323 366.968,245.323 367.012,245.323 367.056,245.323 367.1,245.323 367.144,245.323 367.188,245.323 367.231,245.323 \n", " 367.275,245.323 367.319,245.323 367.363,245.323 367.407,245.323 367.451,245.323 367.495,245.323 367.538,245.323 367.582,245.323 367.626,245.323 367.67,245.323 \n", " 367.714,245.323 367.758,245.323 367.801,245.323 367.845,245.323 367.889,245.323 367.933,241.666 367.977,238.009 368.021,238.009 368.064,238.009 368.108,238.009 \n", " 368.152,238.009 368.196,238.009 368.24,238.009 368.284,238.009 368.327,238.009 368.371,238.009 368.415,238.009 368.459,238.009 368.503,238.009 368.547,238.009 \n", " 368.59,238.009 368.634,238.009 368.678,238.009 368.722,241.666 368.766,241.666 368.81,241.666 368.853,241.666 368.897,241.666 368.941,241.666 368.985,241.666 \n", " 369.029,238.009 369.073,238.009 369.116,238.009 369.16,238.009 369.204,238.009 369.248,238.009 369.292,234.351 369.336,234.351 369.38,234.351 369.423,234.351 \n", " 369.467,234.351 369.511,234.351 369.555,234.351 369.599,234.351 369.643,234.351 369.686,234.351 369.73,234.351 369.774,234.351 369.818,234.351 369.862,234.351 \n", " 369.906,234.351 369.949,234.351 369.993,230.694 370.037,230.694 370.081,230.694 370.125,230.694 370.169,230.694 370.212,230.694 370.256,230.694 370.3,230.694 \n", " 370.344,230.694 370.388,230.694 370.432,230.694 370.475,230.694 370.519,227.037 370.563,227.037 370.607,227.037 370.651,227.037 370.695,227.037 370.738,227.037 \n", " 370.782,227.037 370.826,227.037 370.87,227.037 370.914,227.037 370.958,227.037 371.002,227.037 371.045,227.037 371.089,227.037 371.133,227.037 371.177,227.037 \n", " 371.221,227.037 371.265,227.037 371.308,227.037 371.352,227.037 371.396,227.037 371.44,227.037 371.484,227.037 371.528,227.037 371.571,227.037 371.615,227.037 \n", " 371.659,227.037 371.703,227.037 371.747,227.037 371.791,227.037 371.834,227.037 371.878,227.037 371.922,227.037 371.966,227.037 372.01,227.037 372.054,223.379 \n", " 372.097,223.379 372.141,223.379 372.185,223.379 372.229,223.379 372.273,223.379 372.317,223.379 372.36,223.379 372.404,223.379 372.448,223.379 372.492,223.379 \n", " 372.536,223.379 372.58,223.379 372.623,223.379 372.667,223.379 372.711,223.379 372.755,223.379 372.799,223.379 372.843,223.379 372.887,223.379 372.93,223.379 \n", " 372.974,223.379 373.018,223.379 373.062,223.379 373.106,223.379 373.15,223.379 373.193,223.379 373.237,223.379 373.281,223.379 373.325,223.379 373.369,223.379 \n", " 373.413,223.379 373.456,223.379 373.5,223.379 373.544,223.379 373.588,223.379 373.632,223.379 373.676,223.379 373.719,223.379 373.763,223.379 373.807,223.379 \n", " 373.851,223.379 373.895,223.379 373.939,223.379 373.982,223.379 374.026,223.379 374.07,223.379 374.114,223.379 374.158,223.379 374.202,223.379 374.245,223.379 \n", " 374.289,219.722 374.333,219.722 374.377,219.722 374.421,219.722 374.465,219.722 374.509,216.065 374.552,216.065 374.596,216.065 374.64,216.065 374.684,216.065 \n", " 374.728,216.065 374.772,216.065 374.815,216.065 374.859,216.065 374.903,216.065 374.947,216.065 374.991,216.065 375.035,216.065 375.078,216.065 375.122,216.065 \n", " 375.166,216.065 375.21,216.065 375.254,216.065 375.298,216.065 375.341,216.065 375.385,216.065 375.429,216.065 375.473,216.065 375.517,216.065 375.561,216.065 \n", " 375.604,216.065 375.648,216.065 375.692,216.065 375.736,216.065 375.78,216.065 375.824,216.065 375.867,216.065 375.911,216.065 375.955,216.065 375.999,216.065 \n", " 376.043,216.065 376.087,216.065 376.13,216.065 376.174,216.065 376.218,216.065 376.262,216.065 376.306,216.065 376.35,216.065 376.394,216.065 376.437,216.065 \n", " 376.481,216.065 376.525,216.065 376.569,216.065 376.613,216.065 376.657,216.065 376.7,216.065 376.744,216.065 376.788,216.065 376.832,216.065 376.876,216.065 \n", " 376.92,216.065 376.963,216.065 377.007,216.065 377.051,216.065 377.095,216.065 377.139,216.065 377.183,216.065 377.226,216.065 377.27,216.065 377.314,216.065 \n", " 377.358,216.065 377.402,216.065 377.446,216.065 377.489,216.065 377.533,216.065 377.577,216.065 377.621,216.065 377.665,216.065 377.709,216.065 377.752,216.065 \n", " 377.796,216.065 377.84,216.065 377.884,216.065 377.928,216.065 377.972,216.065 378.015,216.065 378.059,216.065 378.103,216.065 378.147,216.065 378.191,216.065 \n", " 378.235,216.065 378.279,216.065 378.322,216.065 378.366,216.065 378.41,216.065 378.454,212.407 378.498,212.407 378.542,212.407 378.585,212.407 378.629,212.407 \n", " 378.673,212.407 378.717,212.407 378.761,212.407 378.805,212.407 378.848,212.407 378.892,212.407 378.936,212.407 378.98,212.407 379.024,212.407 379.068,212.407 \n", " 379.111,212.407 379.155,212.407 379.199,212.407 379.243,212.407 379.287,212.407 379.331,212.407 379.374,212.407 379.418,212.407 379.462,212.407 379.506,212.407 \n", " 379.55,212.407 379.594,208.75 379.637,208.75 379.681,205.092 379.725,205.092 379.769,205.092 379.813,205.092 379.857,205.092 379.901,205.092 379.944,205.092 \n", " 379.988,201.435 380.032,201.435 380.076,201.435 380.12,201.435 380.164,201.435 380.207,201.435 380.251,201.435 380.295,197.778 380.339,197.778 380.383,197.778 \n", " 380.427,197.778 380.47,197.778 380.514,197.778 380.558,197.778 380.602,197.778 380.646,197.778 380.69,197.778 380.733,197.778 380.777,197.778 380.821,194.12 \n", " 380.865,194.12 380.909,194.12 380.953,194.12 380.996,194.12 381.04,194.12 381.084,194.12 381.128,194.12 381.172,194.12 381.216,194.12 381.259,194.12 \n", " 381.303,194.12 381.347,194.12 381.391,194.12 381.435,194.12 381.479,194.12 381.522,194.12 381.566,194.12 381.61,194.12 381.654,194.12 381.698,194.12 \n", " 381.742,194.12 381.786,194.12 381.829,194.12 381.873,194.12 381.917,194.12 381.961,194.12 382.005,194.12 382.049,194.12 382.092,194.12 382.136,194.12 \n", " 382.18,194.12 382.224,194.12 382.268,194.12 382.312,194.12 382.355,194.12 382.399,194.12 382.443,194.12 382.487,194.12 382.531,194.12 382.575,194.12 \n", " 382.618,194.12 382.662,194.12 382.706,194.12 382.75,194.12 382.794,194.12 382.838,194.12 382.881,194.12 382.925,194.12 382.969,194.12 383.013,194.12 \n", " 383.057,194.12 383.101,194.12 383.144,194.12 383.188,194.12 383.232,194.12 383.276,194.12 383.32,194.12 383.364,194.12 383.408,194.12 383.451,194.12 \n", " 383.495,194.12 383.539,194.12 383.583,194.12 383.627,194.12 383.671,194.12 383.714,194.12 383.758,194.12 383.802,194.12 383.846,194.12 383.89,194.12 \n", " 383.934,194.12 383.977,194.12 384.021,194.12 384.065,194.12 384.109,194.12 384.153,194.12 384.197,194.12 384.24,194.12 384.284,194.12 384.328,194.12 \n", " 384.372,194.12 384.416,194.12 384.46,194.12 384.503,194.12 384.547,194.12 384.591,194.12 384.635,194.12 384.679,194.12 384.723,194.12 384.766,194.12 \n", " 384.81,194.12 384.854,194.12 384.898,190.463 384.942,190.463 384.986,186.806 385.029,186.806 385.073,186.806 385.117,186.806 385.161,186.806 385.205,186.806 \n", " 385.249,186.806 385.293,186.806 385.336,186.806 385.38,186.806 385.424,186.806 385.468,186.806 385.512,186.806 385.556,186.806 385.599,186.806 385.643,186.806 \n", " 385.687,186.806 385.731,186.806 385.775,186.806 385.819,186.806 385.862,186.806 385.906,186.806 385.95,186.806 385.994,186.806 386.038,186.806 386.082,186.806 \n", " 386.125,186.806 386.169,186.806 386.213,186.806 386.257,186.806 386.301,186.806 386.345,186.806 386.388,186.806 386.432,186.806 386.476,186.806 386.52,186.806 \n", " 386.564,186.806 386.608,186.806 386.651,186.806 386.695,186.806 386.739,186.806 386.783,186.806 386.827,186.806 386.871,186.806 386.914,186.806 386.958,186.806 \n", " 387.002,186.806 387.046,186.806 387.09,186.806 387.134,186.806 387.178,186.806 387.221,186.806 387.265,186.806 387.309,186.806 387.353,186.806 387.397,186.806 \n", " 387.441,186.806 387.484,186.806 387.528,186.806 387.572,186.806 387.616,186.806 387.66,186.806 387.704,186.806 387.747,186.806 387.791,186.806 387.835,183.148 \n", " 387.879,183.148 387.923,183.148 387.967,183.148 388.01,183.148 388.054,183.148 388.098,183.148 388.142,183.148 388.186,183.148 388.23,183.148 388.273,183.148 \n", " 388.317,183.148 388.361,183.148 388.405,183.148 388.449,186.806 388.493,186.806 388.536,186.806 388.58,186.806 388.624,186.806 388.668,186.806 388.712,186.806 \n", " 388.756,186.806 388.8,186.806 388.843,186.806 388.887,186.806 388.931,186.806 388.975,186.806 389.019,186.806 389.063,186.806 389.106,186.806 389.15,186.806 \n", " 389.194,186.806 389.238,186.806 389.282,186.806 389.326,186.806 389.369,186.806 389.413,186.806 389.457,186.806 389.501,183.148 389.545,183.148 389.589,183.148 \n", " 389.632,183.148 389.676,183.148 389.72,183.148 389.764,183.148 389.808,183.148 389.852,183.148 389.895,183.148 389.939,183.148 389.983,183.148 390.027,183.148 \n", " 390.071,183.148 390.115,183.148 390.158,183.148 390.202,183.148 390.246,183.148 390.29,183.148 390.334,183.148 390.378,183.148 390.421,183.148 390.465,183.148 \n", " 390.509,183.148 390.553,183.148 390.597,183.148 390.641,183.148 390.685,183.148 390.728,183.148 390.772,183.148 390.816,183.148 390.86,183.148 390.904,183.148 \n", " 390.948,183.148 390.991,183.148 391.035,183.148 391.079,183.148 391.123,183.148 391.167,183.148 391.211,183.148 391.254,183.148 391.298,183.148 391.342,183.148 \n", " 391.386,183.148 391.43,183.148 391.474,183.148 391.517,183.148 391.561,183.148 391.605,183.148 391.649,183.148 391.693,183.148 391.737,183.148 391.78,183.148 \n", " 391.824,179.491 391.868,179.491 391.912,179.491 391.956,179.491 392,179.491 392.043,179.491 392.087,179.491 392.131,179.491 392.175,179.491 392.219,179.491 \n", " 392.263,179.491 392.307,179.491 392.35,179.491 392.394,179.491 392.438,179.491 392.482,179.491 392.526,179.491 392.57,179.491 392.613,179.491 392.657,179.491 \n", " 392.701,179.491 392.745,179.491 392.789,179.491 392.833,179.491 392.876,179.491 392.92,179.491 392.964,179.491 393.008,179.491 393.052,179.491 393.096,179.491 \n", " 393.139,179.491 393.183,179.491 393.227,179.491 393.271,179.491 393.315,179.491 393.359,179.491 393.402,179.491 393.446,179.491 393.49,179.491 393.534,179.491 \n", " 393.578,179.491 393.622,179.491 393.665,179.491 393.709,179.491 393.753,179.491 393.797,179.491 393.841,179.491 393.885,179.491 393.928,179.491 393.972,179.491 \n", " 394.016,179.491 394.06,179.491 394.104,179.491 394.148,179.491 394.192,179.491 394.235,179.491 394.279,179.491 394.323,179.491 394.367,179.491 394.411,179.491 \n", " 394.455,179.491 394.498,179.491 394.542,179.491 394.586,179.491 394.63,179.491 394.674,179.491 394.718,179.491 394.761,179.491 394.805,175.833 394.849,175.833 \n", " 394.893,175.833 394.937,175.833 394.981,175.833 395.024,175.833 395.068,175.833 395.112,175.833 395.156,175.833 395.2,175.833 395.244,175.833 395.287,175.833 \n", " 395.331,175.833 395.375,175.833 395.419,175.833 395.463,175.833 395.507,175.833 395.55,175.833 395.594,175.833 395.638,175.833 395.682,175.833 395.726,175.833 \n", " 395.77,172.176 395.814,172.176 395.857,172.176 395.901,172.176 395.945,172.176 395.989,172.176 396.033,172.176 396.077,172.176 396.12,172.176 396.164,172.176 \n", " 396.208,172.176 396.252,172.176 396.296,172.176 396.34,172.176 396.383,172.176 396.427,172.176 396.471,172.176 396.515,172.176 396.559,172.176 396.603,172.176 \n", " 396.646,172.176 396.69,172.176 396.734,172.176 396.778,172.176 396.822,172.176 396.866,172.176 396.909,172.176 396.953,172.176 396.997,172.176 397.041,172.176 \n", " 397.085,172.176 397.129,172.176 397.172,172.176 397.216,172.176 397.26,172.176 397.304,168.519 397.348,168.519 397.392,168.519 397.435,168.519 397.479,168.519 \n", " 397.523,168.519 397.567,168.519 397.611,168.519 397.655,168.519 397.699,168.519 397.742,168.519 397.786,168.519 397.83,168.519 397.874,168.519 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400.548,164.861 \n", " 400.592,164.861 400.636,164.861 400.679,164.861 400.723,164.861 400.767,164.861 400.811,164.861 400.855,164.861 400.899,164.861 400.942,164.861 400.986,164.861 \n", " 401.03,164.861 401.074,164.861 401.118,164.861 401.162,164.861 401.206,164.861 401.249,164.861 401.293,164.861 401.337,164.861 401.381,164.861 401.425,164.861 \n", " 401.469,164.861 401.512,164.861 401.556,164.861 401.6,164.861 401.644,164.861 401.688,164.861 401.732,164.861 401.775,164.861 401.819,164.861 401.863,164.861 \n", " 401.907,164.861 401.951,164.861 401.995,164.861 402.038,164.861 402.082,164.861 402.126,164.861 402.17,164.861 402.214,164.861 402.258,164.861 402.301,164.861 \n", " 402.345,164.861 402.389,164.861 402.433,164.861 402.477,164.861 402.521,164.861 402.564,164.861 402.608,164.861 402.652,164.861 402.696,164.861 402.74,164.861 \n", " 402.784,164.861 402.827,164.861 402.871,164.861 402.915,164.861 402.959,164.861 403.003,164.861 403.047,164.861 403.091,164.861 403.134,164.861 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432.155,146.574 432.199,146.574 432.242,146.574 432.286,146.574 432.33,146.574 432.374,146.574 432.418,142.917 432.462,142.917 432.505,142.917 432.549,142.917 \n", " 432.593,142.917 432.637,142.917 432.681,142.917 432.725,142.917 432.768,142.917 432.812,142.917 432.856,142.917 432.9,142.917 432.944,142.917 432.988,142.917 \n", " 433.032,142.917 433.075,142.917 433.119,142.917 433.163,142.917 433.207,142.917 433.251,142.917 433.295,142.917 433.338,142.917 433.382,142.917 433.426,142.917 \n", " 433.47,142.917 433.514,142.917 433.558,142.917 433.601,142.917 433.645,142.917 433.689,142.917 433.733,142.917 433.777,142.917 433.821,142.917 433.864,142.917 \n", " 433.908,142.917 433.952,142.917 433.996,142.917 434.04,142.917 434.084,142.917 434.127,142.917 434.171,142.917 434.215,142.917 434.259,142.917 434.303,142.917 \n", " 434.347,142.917 434.39,142.917 434.434,142.917 434.478,142.917 434.522,142.917 434.566,142.917 434.61,142.917 434.653,142.917 434.697,142.917 434.741,142.917 \n", " 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201.175,369.674 201.219,369.674 201.263,369.674 201.307,369.674 201.351,369.674 201.394,369.674 201.438,369.674 201.482,369.674 201.526,369.674 \n", " 201.57,369.674 201.614,369.674 201.657,369.674 201.701,369.674 201.745,369.674 201.789,369.674 201.833,369.674 201.877,369.674 201.92,369.674 201.964,369.674 \n", " 202.008,369.674 202.052,369.674 202.096,369.674 202.14,369.674 202.183,369.674 202.227,369.674 202.271,369.674 202.315,369.674 202.359,369.674 202.403,369.674 \n", " 202.446,369.674 202.49,369.674 202.534,369.674 202.578,369.674 202.622,369.674 202.666,369.674 202.71,369.674 202.753,369.674 202.797,369.674 202.841,369.674 \n", " 202.885,369.674 202.929,369.674 202.973,366.017 203.016,366.017 203.06,366.017 203.104,366.017 203.148,366.017 203.192,366.017 203.236,366.017 203.279,366.017 \n", " 203.323,366.017 203.367,366.017 203.411,366.017 203.455,366.017 203.499,366.017 203.542,366.017 203.586,366.017 203.63,366.017 203.674,366.017 203.718,366.017 \n", " 203.762,366.017 203.805,366.017 203.849,366.017 203.893,366.017 203.937,366.017 203.981,366.017 204.025,366.017 204.068,366.017 204.112,366.017 204.156,366.017 \n", " 204.2,366.017 204.244,366.017 204.288,366.017 204.332,366.017 204.375,366.017 204.419,366.017 204.463,366.017 204.507,366.017 204.551,366.017 204.595,366.017 \n", " 204.638,366.017 204.682,366.017 204.726,366.017 204.77,366.017 204.814,366.017 204.858,366.017 204.901,366.017 204.945,366.017 204.989,366.017 205.033,366.017 \n", " 205.077,366.017 205.121,366.017 205.164,366.017 205.208,366.017 205.252,366.017 205.296,366.017 205.34,366.017 205.384,366.017 205.427,366.017 205.471,366.017 \n", " 205.515,366.017 205.559,366.017 205.603,366.017 205.647,366.017 205.69,366.017 205.734,366.017 205.778,366.017 205.822,366.017 205.866,366.017 205.91,366.017 \n", " 205.953,366.017 205.997,366.017 206.041,366.017 206.085,366.017 206.129,366.017 206.173,366.017 206.217,366.017 206.26,366.017 206.304,366.017 206.348,366.017 \n", " 206.392,366.017 206.436,366.017 206.48,366.017 206.523,366.017 206.567,366.017 206.611,366.017 206.655,366.017 206.699,366.017 206.743,366.017 206.786,366.017 \n", " 206.83,366.017 206.874,366.017 206.918,366.017 206.962,366.017 207.006,366.017 207.049,366.017 207.093,366.017 207.137,366.017 207.181,366.017 207.225,366.017 \n", " 207.269,366.017 207.312,366.017 207.356,366.017 207.4,366.017 207.444,366.017 207.488,366.017 207.532,366.017 207.575,366.017 207.619,366.017 207.663,366.017 \n", " 207.707,366.017 207.751,366.017 207.795,366.017 207.839,366.017 207.882,366.017 207.926,366.017 207.97,366.017 208.014,366.017 208.058,366.017 208.102,366.017 \n", " 208.145,366.017 208.189,366.017 208.233,366.017 208.277,366.017 208.321,366.017 208.365,366.017 208.408,366.017 208.452,366.017 208.496,366.017 208.54,366.017 \n", " 208.584,366.017 208.628,366.017 208.671,366.017 208.715,366.017 208.759,366.017 208.803,366.017 208.847,366.017 208.891,366.017 208.934,366.017 208.978,366.017 \n", " 209.022,366.017 209.066,366.017 209.11,366.017 209.154,366.017 209.197,366.017 209.241,366.017 209.285,366.017 209.329,366.017 209.373,366.017 209.417,366.017 \n", " 209.46,366.017 209.504,366.017 209.548,366.017 209.592,366.017 209.636,366.017 209.68,366.017 209.724,366.017 209.767,366.017 209.811,366.017 209.855,366.017 \n", " 209.899,366.017 209.943,366.017 209.987,366.017 210.03,366.017 210.074,366.017 210.118,366.017 210.162,366.017 210.206,366.017 210.25,366.017 210.293,366.017 \n", " 210.337,366.017 210.381,366.017 210.425,366.017 210.469,366.017 210.513,366.017 210.556,366.017 210.6,366.017 210.644,366.017 210.688,366.017 210.732,366.017 \n", " 210.776,366.017 210.819,366.017 210.863,366.017 210.907,366.017 210.951,366.017 210.995,366.017 211.039,366.017 211.082,366.017 211.126,366.017 211.17,366.017 \n", " 211.214,366.017 211.258,366.017 211.302,366.017 211.345,366.017 211.389,366.017 211.433,366.017 211.477,366.017 211.521,366.017 211.565,366.017 211.609,366.017 \n", " 211.652,366.017 211.696,366.017 211.74,366.017 211.784,366.017 211.828,366.017 211.872,366.017 211.915,366.017 211.959,366.017 212.003,366.017 212.047,366.017 \n", " 212.091,366.017 212.135,366.017 212.178,366.017 212.222,366.017 212.266,366.017 212.31,366.017 212.354,366.017 212.398,366.017 212.441,366.017 212.485,366.017 \n", " 212.529,366.017 212.573,366.017 212.617,366.017 212.661,366.017 212.704,366.017 212.748,366.017 212.792,366.017 212.836,366.017 212.88,366.017 212.924,366.017 \n", " 212.967,366.017 213.011,366.017 213.055,366.017 213.099,366.017 213.143,366.017 213.187,366.017 213.231,366.017 213.274,366.017 213.318,366.017 213.362,366.017 \n", " 213.406,366.017 213.45,366.017 213.494,366.017 213.537,366.017 213.581,366.017 213.625,366.017 213.669,366.017 213.713,366.017 213.757,366.017 213.8,366.017 \n", " 213.844,366.017 213.888,366.017 213.932,366.017 213.976,366.017 214.02,366.017 214.063,366.017 214.107,366.017 214.151,366.017 214.195,366.017 214.239,366.017 \n", " 214.283,366.017 214.326,366.017 214.37,366.017 214.414,366.017 214.458,366.017 214.502,366.017 214.546,366.017 214.589,366.017 214.633,366.017 214.677,366.017 \n", " 214.721,366.017 214.765,366.017 214.809,366.017 214.852,366.017 214.896,366.017 214.94,366.017 214.984,366.017 215.028,366.017 215.072,366.017 215.116,366.017 \n", " 215.159,366.017 215.203,366.017 215.247,366.017 215.291,366.017 215.335,366.017 215.379,366.017 215.422,366.017 215.466,366.017 215.51,366.017 215.554,366.017 \n", " 215.598,366.017 215.642,366.017 215.685,366.017 215.729,366.017 215.773,366.017 215.817,366.017 215.861,366.017 215.905,366.017 215.948,366.017 215.992,366.017 \n", " 216.036,366.017 216.08,366.017 216.124,366.017 216.168,366.017 216.211,366.017 216.255,366.017 216.299,366.017 216.343,366.017 216.387,366.017 216.431,366.017 \n", " 216.474,366.017 216.518,366.017 216.562,366.017 216.606,366.017 216.65,366.017 216.694,366.017 216.738,366.017 216.781,366.017 216.825,366.017 216.869,366.017 \n", " 216.913,366.017 216.957,366.017 217.001,366.017 217.044,366.017 217.088,366.017 217.132,366.017 217.176,366.017 217.22,366.017 217.264,366.017 217.307,366.017 \n", " 217.351,366.017 217.395,366.017 217.439,366.017 217.483,366.017 217.527,366.017 217.57,366.017 217.614,366.017 217.658,366.017 217.702,366.017 217.746,366.017 \n", " 217.79,366.017 217.833,366.017 217.877,366.017 217.921,366.017 217.965,366.017 218.009,366.017 218.053,366.017 218.096,366.017 218.14,366.017 218.184,366.017 \n", " 218.228,366.017 218.272,366.017 218.316,366.017 218.359,366.017 218.403,366.017 218.447,366.017 218.491,366.017 218.535,366.017 218.579,366.017 218.623,366.017 \n", " 218.666,366.017 218.71,366.017 218.754,366.017 218.798,366.017 218.842,366.017 218.886,366.017 218.929,366.017 218.973,366.017 219.017,366.017 219.061,366.017 \n", " 219.105,366.017 219.149,366.017 219.192,366.017 219.236,366.017 219.28,366.017 219.324,366.017 219.368,366.017 219.412,366.017 219.455,366.017 219.499,366.017 \n", " 219.543,366.017 219.587,366.017 219.631,366.017 219.675,366.017 219.718,366.017 219.762,366.017 219.806,366.017 219.85,366.017 219.894,366.017 219.938,366.017 \n", " 219.981,366.017 220.025,366.017 220.069,366.017 220.113,366.017 220.157,366.017 220.201,366.017 220.245,366.017 220.288,366.017 220.332,366.017 220.376,366.017 \n", " 220.42,366.017 220.464,366.017 220.508,366.017 220.551,366.017 220.595,366.017 220.639,366.017 220.683,366.017 220.727,366.017 220.771,366.017 220.814,366.017 \n", " 220.858,366.017 220.902,366.017 220.946,366.017 220.99,366.017 221.034,366.017 221.077,366.017 221.121,366.017 221.165,366.017 221.209,366.017 221.253,366.017 \n", " 221.297,366.017 221.34,366.017 221.384,366.017 221.428,366.017 221.472,366.017 221.516,366.017 221.56,366.017 221.603,366.017 221.647,366.017 221.691,366.017 \n", " 221.735,366.017 221.779,366.017 221.823,366.017 221.866,366.017 221.91,366.017 221.954,366.017 221.998,366.017 222.042,366.017 222.086,366.017 222.13,366.017 \n", " 222.173,366.017 222.217,366.017 222.261,366.017 222.305,366.017 222.349,366.017 222.393,366.017 222.436,366.017 222.48,366.017 222.524,366.017 222.568,366.017 \n", " 222.612,366.017 222.656,366.017 222.699,366.017 222.743,366.017 222.787,366.017 222.831,366.017 222.875,366.017 222.919,366.017 222.962,366.017 223.006,366.017 \n", " 223.05,366.017 223.094,366.017 223.138,366.017 223.182,366.017 223.225,366.017 223.269,366.017 223.313,366.017 223.357,366.017 223.401,366.017 223.445,366.017 \n", " 223.488,366.017 223.532,366.017 223.576,366.017 223.62,366.017 223.664,366.017 223.708,366.017 223.751,366.017 223.795,366.017 223.839,366.017 223.883,366.017 \n", " 223.927,366.017 223.971,366.017 224.015,366.017 224.058,366.017 224.102,366.017 224.146,366.017 224.19,366.017 224.234,366.017 224.278,366.017 224.321,366.017 \n", " 224.365,366.017 224.409,366.017 224.453,366.017 224.497,366.017 224.541,366.017 224.584,366.017 224.628,366.017 224.672,366.017 224.716,366.017 224.76,366.017 \n", " 224.804,366.017 224.847,366.017 224.891,366.017 224.935,366.017 224.979,366.017 225.023,366.017 225.067,366.017 225.11,366.017 225.154,366.017 225.198,366.017 \n", " 225.242,366.017 225.286,366.017 225.33,366.017 225.373,366.017 225.417,366.017 225.461,366.017 225.505,366.017 225.549,366.017 225.593,366.017 225.637,366.017 \n", " 225.68,366.017 225.724,366.017 225.768,366.017 225.812,366.017 225.856,366.017 225.9,366.017 225.943,366.017 225.987,366.017 226.031,366.017 226.075,366.017 \n", " 226.119,366.017 226.163,366.017 226.206,366.017 226.25,366.017 226.294,366.017 226.338,366.017 226.382,366.017 226.426,366.017 226.469,366.017 226.513,366.017 \n", " 226.557,366.017 226.601,366.017 226.645,366.017 226.689,366.017 226.732,366.017 226.776,366.017 226.82,366.017 226.864,366.017 226.908,366.017 226.952,366.017 \n", " 226.995,366.017 227.039,366.017 227.083,366.017 227.127,366.017 227.171,366.017 227.215,366.017 227.258,366.017 227.302,366.017 227.346,366.017 227.39,366.017 \n", " 227.434,366.017 227.478,366.017 227.522,366.017 227.565,366.017 227.609,366.017 227.653,366.017 227.697,366.017 227.741,366.017 227.785,366.017 227.828,366.017 \n", " 227.872,366.017 227.916,366.017 227.96,366.017 228.004,366.017 228.048,366.017 228.091,366.017 228.135,366.017 228.179,366.017 228.223,366.017 228.267,366.017 \n", " 228.311,366.017 228.354,366.017 228.398,366.017 228.442,366.017 228.486,366.017 228.53,366.017 228.574,366.017 228.617,366.017 228.661,366.017 228.705,366.017 \n", " 228.749,366.017 228.793,366.017 228.837,366.017 228.88,366.017 228.924,366.017 228.968,366.017 229.012,366.017 229.056,366.017 229.1,366.017 229.144,366.017 \n", " 229.187,366.017 229.231,366.017 229.275,366.017 229.319,366.017 229.363,366.017 229.407,366.017 229.45,366.017 229.494,366.017 229.538,366.017 229.582,366.017 \n", " 229.626,366.017 229.67,366.017 229.713,366.017 229.757,366.017 229.801,366.017 229.845,366.017 229.889,366.017 229.933,366.017 229.976,366.017 230.02,366.017 \n", " 230.064,366.017 230.108,366.017 230.152,366.017 230.196,366.017 230.239,366.017 230.283,366.017 230.327,366.017 230.371,366.017 230.415,366.017 230.459,366.017 \n", " 230.502,366.017 230.546,366.017 230.59,366.017 230.634,366.017 230.678,366.017 230.722,366.017 230.765,366.017 230.809,366.017 230.853,366.017 230.897,366.017 \n", " 230.941,366.017 230.985,366.017 231.029,366.017 231.072,366.017 231.116,366.017 231.16,366.017 231.204,366.017 231.248,366.017 231.292,366.017 231.335,366.017 \n", " 231.379,366.017 231.423,366.017 231.467,366.017 231.511,366.017 231.555,366.017 231.598,366.017 231.642,366.017 231.686,366.017 231.73,366.017 231.774,366.017 \n", " 231.818,366.017 231.861,366.017 231.905,366.017 231.949,366.017 231.993,366.017 232.037,366.017 232.081,366.017 232.124,366.017 232.168,366.017 232.212,366.017 \n", " 232.256,366.017 232.3,366.017 232.344,366.017 232.387,366.017 232.431,366.017 232.475,366.017 232.519,366.017 232.563,366.017 232.607,366.017 232.65,366.017 \n", " 232.694,366.017 232.738,366.017 232.782,366.017 232.826,366.017 232.87,366.017 232.914,366.017 232.957,366.017 233.001,366.017 233.045,366.017 233.089,366.017 \n", " 233.133,366.017 233.177,366.017 233.22,366.017 233.264,366.017 233.308,366.017 233.352,366.017 233.396,366.017 233.44,366.017 233.483,366.017 233.527,366.017 \n", " 233.571,366.017 233.615,366.017 233.659,366.017 233.703,366.017 233.746,366.017 233.79,366.017 233.834,366.017 233.878,366.017 233.922,366.017 233.966,366.017 \n", " 234.009,366.017 234.053,366.017 234.097,366.017 234.141,366.017 234.185,366.017 234.229,366.017 234.272,366.017 234.316,366.017 234.36,366.017 234.404,366.017 \n", " 234.448,366.017 234.492,366.017 234.536,366.017 234.579,366.017 234.623,366.017 234.667,366.017 234.711,366.017 234.755,366.017 234.799,366.017 234.842,366.017 \n", " 234.886,366.017 234.93,366.017 234.974,366.017 235.018,366.017 235.062,366.017 235.105,366.017 235.149,366.017 235.193,366.017 235.237,366.017 235.281,366.017 \n", " 235.325,366.017 235.368,366.017 235.412,366.017 235.456,366.017 235.5,366.017 235.544,366.017 235.588,366.017 235.631,366.017 235.675,366.017 235.719,366.017 \n", " 235.763,366.017 235.807,366.017 235.851,366.017 235.894,366.017 235.938,366.017 235.982,366.017 236.026,366.017 236.07,366.017 236.114,366.017 236.157,366.017 \n", " 236.201,366.017 236.245,366.017 236.289,366.017 236.333,366.017 236.377,366.017 236.421,366.017 236.464,366.017 236.508,366.017 236.552,366.017 236.596,366.017 \n", " 236.64,366.017 236.684,366.017 236.727,366.017 236.771,366.017 236.815,366.017 236.859,366.017 236.903,366.017 236.947,366.017 236.99,366.017 237.034,366.017 \n", " 237.078,366.017 237.122,366.017 237.166,366.017 237.21,366.017 237.253,366.017 237.297,366.017 237.341,366.017 237.385,366.017 237.429,366.017 237.473,366.017 \n", " 237.516,366.017 237.56,366.017 237.604,366.017 237.648,366.017 237.692,366.017 237.736,366.017 237.779,366.017 237.823,366.017 237.867,366.017 237.911,366.017 \n", " 237.955,366.017 237.999,366.017 238.043,366.017 238.086,366.017 238.13,366.017 238.174,366.017 238.218,366.017 238.262,366.017 238.306,366.017 238.349,366.017 \n", " 238.393,366.017 238.437,366.017 238.481,366.017 238.525,366.017 238.569,366.017 238.612,366.017 238.656,366.017 238.7,366.017 238.744,366.017 238.788,366.017 \n", " 238.832,366.017 238.875,366.017 238.919,366.017 238.963,366.017 239.007,366.017 239.051,366.017 239.095,366.017 239.138,366.017 239.182,366.017 239.226,366.017 \n", " 239.27,366.017 239.314,366.017 239.358,366.017 239.401,366.017 239.445,366.017 239.489,366.017 239.533,366.017 239.577,366.017 239.621,366.017 239.664,366.017 \n", " 239.708,366.017 239.752,366.017 239.796,366.017 239.84,366.017 239.884,366.017 239.928,366.017 239.971,366.017 240.015,366.017 240.059,366.017 240.103,366.017 \n", " 240.147,366.017 240.191,366.017 240.234,366.017 240.278,366.017 240.322,366.017 240.366,366.017 240.41,366.017 240.454,366.017 240.497,366.017 240.541,366.017 \n", " 240.585,366.017 240.629,366.017 240.673,366.017 240.717,366.017 240.76,366.017 240.804,366.017 240.848,366.017 240.892,366.017 240.936,366.017 240.98,366.017 \n", " 241.023,366.017 241.067,366.017 241.111,366.017 241.155,366.017 241.199,366.017 241.243,366.017 241.286,366.017 241.33,366.017 241.374,366.017 241.418,366.017 \n", " 241.462,366.017 241.506,366.017 241.55,366.017 241.593,366.017 241.637,366.017 241.681,366.017 241.725,366.017 241.769,366.017 241.813,366.017 241.856,366.017 \n", " 241.9,366.017 241.944,366.017 241.988,366.017 242.032,366.017 242.076,366.017 242.119,366.017 242.163,366.017 242.207,366.017 242.251,366.017 242.295,366.017 \n", " 242.339,366.017 242.382,366.017 242.426,366.017 242.47,366.017 242.514,366.017 242.558,366.017 242.602,366.017 242.645,366.017 242.689,366.017 242.733,366.017 \n", " 242.777,366.017 242.821,366.017 242.865,366.017 242.908,366.017 242.952,366.017 242.996,366.017 243.04,366.017 243.084,366.017 243.128,366.017 243.171,366.017 \n", " 243.215,366.017 243.259,366.017 243.303,366.017 243.347,366.017 243.391,366.017 243.435,366.017 243.478,366.017 243.522,366.017 243.566,366.017 243.61,366.017 \n", " 243.654,366.017 243.698,366.017 243.741,366.017 243.785,366.017 243.829,366.017 243.873,366.017 243.917,366.017 243.961,366.017 244.004,366.017 244.048,366.017 \n", " 244.092,366.017 244.136,366.017 244.18,366.017 244.224,366.017 244.267,366.017 244.311,366.017 244.355,366.017 244.399,366.017 244.443,366.017 244.487,366.017 \n", " 244.53,366.017 244.574,366.017 244.618,366.017 244.662,366.017 244.706,366.017 244.75,366.017 244.793,366.017 244.837,366.017 244.881,366.017 244.925,366.017 \n", " 244.969,366.017 245.013,366.017 245.056,366.017 245.1,366.017 245.144,366.017 245.188,366.017 245.232,366.017 245.276,366.017 245.32,366.017 245.363,366.017 \n", " 245.407,366.017 245.451,366.017 245.495,366.017 245.539,366.017 245.583,366.017 245.626,366.017 245.67,366.017 245.714,366.017 245.758,366.017 245.802,366.017 \n", " 245.846,366.017 245.889,366.017 245.933,366.017 245.977,366.017 246.021,366.017 246.065,366.017 246.109,366.017 246.152,366.017 246.196,366.017 246.24,366.017 \n", " 246.284,366.017 246.328,366.017 246.372,366.017 246.415,366.017 246.459,366.017 246.503,366.017 246.547,366.017 246.591,366.017 246.635,366.017 246.678,366.017 \n", " 246.722,366.017 246.766,366.017 246.81,366.017 246.854,366.017 246.898,366.017 246.942,366.017 246.985,366.017 247.029,366.017 247.073,366.017 247.117,366.017 \n", " 247.161,366.017 247.205,366.017 247.248,366.017 247.292,366.017 247.336,366.017 247.38,366.017 247.424,366.017 247.468,366.017 247.511,366.017 247.555,366.017 \n", " 247.599,366.017 247.643,366.017 247.687,366.017 247.731,366.017 247.774,366.017 247.818,366.017 247.862,366.017 247.906,366.017 247.95,366.017 247.994,366.017 \n", " 248.037,366.017 248.081,366.017 248.125,366.017 248.169,366.017 248.213,366.017 248.257,366.017 248.3,366.017 248.344,366.017 248.388,366.017 248.432,366.017 \n", " 248.476,366.017 248.52,366.017 248.563,366.017 248.607,366.017 248.651,366.017 248.695,366.017 248.739,366.017 248.783,366.017 248.827,366.017 248.87,366.017 \n", " 248.914,366.017 248.958,366.017 249.002,366.017 249.046,366.017 249.09,366.017 249.133,366.017 249.177,366.017 249.221,366.017 249.265,366.017 249.309,366.017 \n", " 249.353,366.017 249.396,366.017 249.44,366.017 249.484,366.017 249.528,366.017 249.572,366.017 249.616,366.017 249.659,366.017 249.703,366.017 249.747,366.017 \n", " 249.791,366.017 249.835,366.017 249.879,366.017 249.922,366.017 249.966,366.017 250.01,366.017 250.054,366.017 250.098,366.017 250.142,366.017 250.185,366.017 \n", " 250.229,366.017 250.273,366.017 250.317,366.017 250.361,366.017 250.405,366.017 250.449,366.017 250.492,366.017 250.536,366.017 250.58,366.017 250.624,366.017 \n", " 250.668,366.017 250.712,366.017 250.755,366.017 250.799,366.017 250.843,366.017 250.887,366.017 250.931,366.017 250.975,366.017 251.018,366.017 251.062,366.017 \n", " 251.106,366.017 251.15,366.017 251.194,366.017 251.238,366.017 251.281,366.017 251.325,366.017 251.369,366.017 251.413,366.017 251.457,366.017 251.501,366.017 \n", " 251.544,366.017 251.588,366.017 251.632,366.017 251.676,366.017 251.72,366.017 251.764,366.017 251.807,366.017 251.851,366.017 251.895,366.017 251.939,366.017 \n", " 251.983,366.017 252.027,366.017 252.07,366.017 252.114,366.017 252.158,366.017 252.202,366.017 252.246,366.017 252.29,366.017 252.334,366.017 252.377,366.017 \n", " 252.421,366.017 252.465,366.017 252.509,366.017 252.553,366.017 252.597,366.017 252.64,366.017 252.684,366.017 252.728,366.017 252.772,366.017 252.816,366.017 \n", " 252.86,366.017 252.903,366.017 252.947,366.017 252.991,366.017 253.035,366.017 253.079,366.017 253.123,366.017 253.166,366.017 253.21,366.017 253.254,366.017 \n", " 253.298,366.017 253.342,366.017 253.386,366.017 253.429,366.017 253.473,366.017 253.517,366.017 253.561,366.017 253.605,366.017 253.649,366.017 253.692,366.017 \n", " 253.736,366.017 253.78,366.017 253.824,366.017 253.868,366.017 253.912,366.017 253.956,366.017 253.999,366.017 254.043,366.017 254.087,366.017 254.131,366.017 \n", " 254.175,366.017 254.219,366.017 254.262,366.017 254.306,366.017 254.35,366.017 254.394,366.017 254.438,366.017 254.482,366.017 254.525,366.017 254.569,366.017 \n", " 254.613,366.017 254.657,366.017 254.701,366.017 254.745,366.017 254.788,366.017 254.832,366.017 254.876,366.017 254.92,366.017 254.964,366.017 255.008,366.017 \n", " 255.051,366.017 255.095,366.017 255.139,366.017 255.183,366.017 255.227,366.017 255.271,366.017 255.314,366.017 255.358,366.017 255.402,366.017 255.446,366.017 \n", " 255.49,366.017 255.534,366.017 255.577,366.017 255.621,366.017 255.665,366.017 255.709,366.017 255.753,366.017 255.797,366.017 255.841,366.017 255.884,366.017 \n", " 255.928,366.017 255.972,366.017 256.016,366.017 256.06,366.017 256.104,366.017 256.147,366.017 256.191,366.017 256.235,366.017 256.279,366.017 256.323,366.017 \n", " 256.367,366.017 256.41,366.017 256.454,366.017 256.498,366.017 256.542,366.017 256.586,366.017 256.63,366.017 256.673,366.017 256.717,366.017 256.761,366.017 \n", " 256.805,366.017 256.849,366.017 256.893,366.017 256.936,366.017 256.98,366.017 257.024,366.017 257.068,366.017 257.112,366.017 257.156,366.017 257.199,366.017 \n", " 257.243,366.017 257.287,366.017 257.331,366.017 257.375,366.017 257.419,366.017 257.462,366.017 257.506,366.017 257.55,366.017 257.594,366.017 257.638,366.017 \n", " 257.682,366.017 257.726,366.017 257.769,366.017 257.813,366.017 257.857,366.017 257.901,366.017 257.945,366.017 257.989,366.017 258.032,366.017 258.076,366.017 \n", " 258.12,366.017 258.164,366.017 258.208,366.017 258.252,366.017 258.295,366.017 258.339,366.017 258.383,366.017 258.427,366.017 258.471,366.017 258.515,366.017 \n", " 258.558,366.017 258.602,366.017 258.646,366.017 258.69,366.017 258.734,366.017 258.778,366.017 258.821,366.017 258.865,366.017 258.909,366.017 258.953,366.017 \n", " 258.997,366.017 259.041,366.017 259.084,366.017 259.128,366.017 259.172,366.017 259.216,366.017 259.26,366.017 259.304,366.017 259.348,366.017 259.391,366.017 \n", " 259.435,366.017 259.479,366.017 259.523,366.017 259.567,366.017 259.611,366.017 259.654,366.017 259.698,366.017 259.742,366.017 259.786,366.017 259.83,366.017 \n", " 259.874,366.017 259.917,366.017 259.961,366.017 260.005,366.017 260.049,366.017 260.093,366.017 260.137,366.017 260.18,366.017 260.224,366.017 260.268,366.017 \n", " 260.312,366.017 260.356,366.017 260.4,366.017 260.443,366.017 260.487,366.017 260.531,366.017 260.575,366.017 260.619,366.017 260.663,366.017 260.706,366.017 \n", " 260.75,366.017 260.794,366.017 260.838,366.017 260.882,366.017 260.926,366.017 260.969,366.017 261.013,366.017 261.057,366.017 261.101,366.017 261.145,366.017 \n", " 261.189,366.017 261.233,366.017 261.276,366.017 261.32,366.017 261.364,366.017 261.408,366.017 261.452,366.017 261.496,366.017 261.539,366.017 261.583,366.017 \n", " 261.627,366.017 261.671,366.017 261.715,366.017 261.759,366.017 261.802,366.017 261.846,366.017 261.89,366.017 261.934,366.017 261.978,366.017 262.022,366.017 \n", " 262.065,366.017 262.109,366.017 262.153,366.017 262.197,366.017 262.241,366.017 262.285,366.017 262.328,366.017 262.372,366.017 262.416,366.017 262.46,366.017 \n", " 262.504,366.017 262.548,366.017 262.591,366.017 262.635,366.017 262.679,366.017 262.723,366.017 262.767,366.017 262.811,366.017 262.855,366.017 262.898,366.017 \n", " 262.942,366.017 262.986,366.017 263.03,366.017 263.074,366.017 263.118,366.017 263.161,366.017 263.205,366.017 263.249,366.017 263.293,366.017 263.337,366.017 \n", " 263.381,366.017 263.424,366.017 263.468,366.017 263.512,366.017 263.556,366.017 263.6,366.017 263.644,366.017 263.687,366.017 263.731,366.017 263.775,366.017 \n", " 263.819,366.017 263.863,366.017 263.907,366.017 263.95,366.017 263.994,366.017 264.038,366.017 264.082,366.017 264.126,366.017 264.17,366.017 264.213,366.017 \n", " 264.257,366.017 264.301,366.017 264.345,366.017 264.389,366.017 264.433,366.017 264.476,366.017 264.52,366.017 264.564,366.017 264.608,366.017 264.652,366.017 \n", " 264.696,366.017 264.74,366.017 264.783,366.017 264.827,366.017 264.871,366.017 264.915,366.017 264.959,366.017 265.003,366.017 265.046,366.017 265.09,366.017 \n", " 265.134,366.017 265.178,366.017 265.222,366.017 265.266,366.017 265.309,366.017 265.353,366.017 265.397,366.017 265.441,366.017 265.485,366.017 265.529,366.017 \n", " 265.572,366.017 265.616,366.017 265.66,366.017 265.704,366.017 265.748,366.017 265.792,366.017 265.835,366.017 265.879,366.017 265.923,366.017 265.967,366.017 \n", " 266.011,366.017 266.055,366.017 266.098,366.017 266.142,366.017 266.186,366.017 266.23,366.017 266.274,366.017 266.318,366.017 266.362,366.017 266.405,366.017 \n", " 266.449,366.017 266.493,366.017 266.537,366.017 266.581,366.017 266.625,366.017 266.668,366.017 266.712,366.017 266.756,366.017 266.8,366.017 266.844,366.017 \n", " 266.888,366.017 266.931,366.017 266.975,366.017 267.019,366.017 267.063,366.017 267.107,366.017 267.151,366.017 267.194,366.017 267.238,366.017 267.282,366.017 \n", " 267.326,366.017 267.37,366.017 267.414,366.017 267.457,366.017 267.501,366.017 267.545,366.017 267.589,366.017 267.633,366.017 267.677,366.017 267.72,366.017 \n", " 267.764,366.017 267.808,366.017 267.852,366.017 267.896,366.017 267.94,366.017 267.983,366.017 268.027,366.017 268.071,366.017 268.115,366.017 268.159,366.017 \n", " 268.203,366.017 268.247,366.017 268.29,366.017 268.334,366.017 268.378,366.017 268.422,366.017 268.466,366.017 268.51,366.017 268.553,366.017 268.597,366.017 \n", " 268.641,366.017 268.685,366.017 268.729,366.017 268.773,366.017 268.816,366.017 268.86,366.017 268.904,366.017 268.948,366.017 268.992,366.017 269.036,366.017 \n", " 269.079,366.017 269.123,366.017 269.167,366.017 269.211,366.017 269.255,366.017 269.299,366.017 269.342,366.017 269.386,366.017 269.43,366.017 269.474,366.017 \n", " 269.518,366.017 269.562,366.017 269.605,366.017 269.649,366.017 269.693,366.017 269.737,366.017 269.781,366.017 269.825,366.017 269.868,366.017 269.912,366.017 \n", " 269.956,366.017 270,366.017 270.044,366.017 270.088,366.017 270.132,366.017 270.175,366.017 270.219,366.017 270.263,366.017 270.307,366.017 270.351,366.017 \n", " 270.395,366.017 270.438,366.017 270.482,366.017 270.526,366.017 270.57,366.017 270.614,366.017 270.658,366.017 270.701,366.017 270.745,366.017 270.789,366.017 \n", " 270.833,366.017 270.877,366.017 270.921,366.017 270.964,366.017 271.008,366.017 271.052,366.017 271.096,366.017 271.14,366.017 271.184,366.017 271.227,366.017 \n", " 271.271,366.017 271.315,366.017 271.359,366.017 271.403,366.017 271.447,366.017 271.49,366.017 271.534,366.017 271.578,366.017 271.622,366.017 271.666,366.017 \n", " 271.71,366.017 271.754,366.017 271.797,366.017 271.841,366.017 271.885,366.017 271.929,366.017 271.973,366.017 272.017,366.017 272.06,366.017 272.104,366.017 \n", " 272.148,366.017 272.192,366.017 272.236,366.017 272.28,366.017 272.323,366.017 272.367,366.017 272.411,362.359 272.455,362.359 272.499,362.359 272.543,362.359 \n", " 272.586,362.359 272.63,362.359 272.674,362.359 272.718,362.359 272.762,362.359 272.806,362.359 272.849,362.359 272.893,362.359 272.937,362.359 272.981,362.359 \n", " 273.025,362.359 273.069,362.359 273.112,362.359 273.156,362.359 273.2,362.359 273.244,362.359 273.288,362.359 273.332,362.359 273.375,362.359 273.419,362.359 \n", " 273.463,362.359 273.507,362.359 273.551,362.359 273.595,362.359 273.639,362.359 273.682,362.359 273.726,362.359 273.77,362.359 273.814,362.359 273.858,362.359 \n", " 273.902,362.359 273.945,362.359 273.989,362.359 274.033,362.359 274.077,362.359 274.121,362.359 274.165,362.359 274.208,362.359 274.252,362.359 274.296,362.359 \n", " 274.34,362.359 274.384,362.359 274.428,362.359 274.471,362.359 274.515,362.359 274.559,358.702 274.603,358.702 274.647,358.702 274.691,358.702 274.734,358.702 \n", " 274.778,358.702 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330.057,351.387 330.101,351.387 330.145,351.387 330.189,351.387 330.233,351.387 330.277,351.387 330.32,351.387 330.364,351.387 330.408,351.387 \n", " 330.452,351.387 330.496,351.387 330.54,351.387 330.583,351.387 330.627,351.387 330.671,351.387 330.715,351.387 330.759,351.387 330.803,351.387 330.846,351.387 \n", " 330.89,351.387 330.934,351.387 330.978,351.387 331.022,351.387 331.066,351.387 331.109,351.387 331.153,351.387 331.197,351.387 331.241,351.387 331.285,351.387 \n", " 331.329,351.387 331.372,351.387 331.416,351.387 331.46,351.387 331.504,351.387 331.548,351.387 331.592,351.387 331.635,351.387 331.679,351.387 331.723,351.387 \n", " 331.767,351.387 331.811,347.73 331.855,347.73 331.898,347.73 331.942,347.73 331.986,347.73 332.03,347.73 332.074,347.73 332.118,347.73 332.162,347.73 \n", " 332.205,347.73 332.249,347.73 332.293,347.73 332.337,347.73 332.381,347.73 332.425,347.73 332.468,347.73 332.512,347.73 332.556,347.73 332.6,347.73 \n", " 332.644,347.73 332.688,347.73 332.731,347.73 332.775,347.73 332.819,347.73 332.863,347.73 332.907,347.73 332.951,347.73 332.994,347.73 333.038,347.73 \n", " 333.082,347.73 333.126,347.73 333.17,347.73 333.214,347.73 333.257,347.73 333.301,347.73 333.345,347.73 333.389,347.73 333.433,347.73 333.477,347.73 \n", " 333.52,347.73 333.564,347.73 333.608,347.73 333.652,347.73 333.696,347.73 333.74,347.73 333.784,347.73 333.827,347.73 333.871,347.73 333.915,347.73 \n", " 333.959,347.73 334.003,347.73 334.047,347.73 334.09,347.73 334.134,347.73 334.178,347.73 334.222,347.73 334.266,347.73 334.31,347.73 334.353,347.73 \n", " 334.397,347.73 334.441,347.73 334.485,347.73 334.529,347.73 334.573,347.73 334.616,347.73 334.66,347.73 334.704,347.73 334.748,347.73 334.792,347.73 \n", " 334.836,347.73 334.879,347.73 334.923,347.73 334.967,347.73 335.011,347.73 335.055,347.73 335.099,347.73 335.142,347.73 335.186,347.73 335.23,347.73 \n", " 335.274,347.73 335.318,347.73 335.362,347.73 335.405,347.73 335.449,347.73 335.493,347.73 335.537,347.73 335.581,347.73 335.625,347.73 335.669,347.73 \n", " 335.712,347.73 335.756,347.73 335.8,347.73 335.844,347.73 335.888,347.73 335.932,347.73 335.975,347.73 336.019,347.73 336.063,347.73 336.107,347.73 \n", " 336.151,347.73 336.195,347.73 336.238,347.73 336.282,347.73 336.326,347.73 336.37,347.73 336.414,347.73 336.458,347.73 336.501,347.73 336.545,347.73 \n", " 336.589,347.73 336.633,347.73 336.677,347.73 336.721,347.73 336.764,347.73 336.808,347.73 336.852,347.73 336.896,347.73 336.94,347.73 336.984,347.73 \n", " 337.027,347.73 337.071,347.73 337.115,347.73 337.159,347.73 337.203,347.73 337.247,347.73 337.291,347.73 337.334,347.73 337.378,347.73 337.422,347.73 \n", " 337.466,347.73 337.51,347.73 337.554,347.73 337.597,347.73 337.641,347.73 337.685,347.73 337.729,347.73 337.773,347.73 337.817,347.73 337.86,347.73 \n", " 337.904,347.73 337.948,347.73 337.992,347.73 338.036,347.73 338.08,347.73 338.123,347.73 338.167,347.73 338.211,347.73 338.255,347.73 338.299,347.73 \n", 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341.148,347.73 341.192,347.73 341.236,347.73 341.28,347.73 341.324,347.73 341.367,347.73 \n", " 341.411,347.73 341.455,347.73 341.499,347.73 341.543,347.73 341.587,347.73 341.63,347.73 341.674,347.73 341.718,347.73 341.762,347.73 341.806,347.73 \n", " 341.85,347.73 341.893,347.73 341.937,347.73 341.981,347.73 342.025,347.73 342.069,347.73 342.113,347.73 342.156,347.73 342.2,347.73 342.244,347.73 \n", " 342.288,347.73 342.332,347.73 342.376,347.73 342.419,347.73 342.463,347.73 342.507,347.73 342.551,347.73 342.595,347.73 342.639,347.73 342.683,347.73 \n", " 342.726,347.73 342.77,347.73 342.814,347.73 342.858,347.73 342.902,347.73 342.946,347.73 342.989,347.73 343.033,347.73 343.077,347.73 343.121,347.73 \n", " 343.165,347.73 343.209,347.73 343.252,347.73 343.296,347.73 343.34,347.73 343.384,347.73 343.428,347.73 343.472,347.73 343.515,347.73 343.559,347.73 \n", " 343.603,347.73 343.647,347.73 343.691,347.73 343.735,347.73 343.778,347.73 343.822,347.73 343.866,347.73 343.91,347.73 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398.049,340.415 398.093,340.415 398.137,340.415 398.181,340.415 398.225,340.415 398.268,340.415 398.312,340.415 398.356,340.415 \n", " 398.4,340.415 398.444,340.415 398.488,340.415 398.531,340.415 398.575,340.415 398.619,340.415 398.663,340.415 398.707,340.415 398.751,340.415 398.794,340.415 \n", " 398.838,340.415 398.882,340.415 398.926,340.415 398.97,340.415 399.014,340.415 399.057,340.415 399.101,340.415 399.145,340.415 399.189,340.415 399.233,340.415 \n", " 399.277,340.415 399.32,340.415 399.364,340.415 399.408,340.415 399.452,340.415 399.496,340.415 399.54,340.415 399.584,340.415 399.627,340.415 399.671,340.415 \n", " 399.715,340.415 399.759,340.415 399.803,340.415 399.847,340.415 399.89,340.415 399.934,340.415 399.978,340.415 400.022,340.415 400.066,340.415 400.11,340.415 \n", " 400.153,340.415 400.197,340.415 400.241,340.415 400.285,340.415 400.329,340.415 400.373,340.415 400.416,340.415 400.46,340.415 400.504,340.415 400.548,340.415 \n", " 400.592,340.415 400.636,340.415 400.679,340.415 400.723,340.415 400.767,340.415 400.811,340.415 400.855,340.415 400.899,340.415 400.942,340.415 400.986,340.415 \n", " 401.03,340.415 401.074,340.415 401.118,340.415 401.162,340.415 401.206,340.415 401.249,340.415 401.293,340.415 401.337,340.415 401.381,340.415 401.425,340.415 \n", " 401.469,340.415 401.512,340.415 401.556,340.415 401.6,340.415 401.644,340.415 401.688,340.415 401.732,340.415 401.775,340.415 401.819,340.415 401.863,340.415 \n", " 401.907,340.415 401.951,340.415 401.995,340.415 402.038,340.415 402.082,340.415 402.126,340.415 402.17,340.415 402.214,340.415 402.258,340.415 402.301,340.415 \n", " 402.345,340.415 402.389,340.415 402.433,340.415 402.477,340.415 402.521,340.415 402.564,340.415 402.608,340.415 402.652,340.415 402.696,340.415 402.74,340.415 \n", " 402.784,340.415 402.827,340.415 402.871,340.415 402.915,340.415 402.959,340.415 403.003,340.415 403.047,340.415 403.091,340.415 403.134,340.415 403.178,340.415 \n", " 403.222,340.415 403.266,340.415 403.31,340.415 403.354,340.415 403.397,340.415 403.441,340.415 403.485,340.415 403.529,340.415 403.573,340.415 403.617,340.415 \n", " 403.66,340.415 403.704,340.415 403.748,340.415 403.792,340.415 403.836,340.415 403.88,340.415 403.923,340.415 403.967,340.415 404.011,340.415 404.055,340.415 \n", " 404.099,340.415 404.143,340.415 404.186,340.415 404.23,340.415 404.274,340.415 404.318,340.415 404.362,340.415 404.406,340.415 404.449,340.415 404.493,340.415 \n", " 404.537,340.415 404.581,340.415 404.625,340.415 404.669,340.415 404.713,340.415 404.756,340.415 404.8,340.415 404.844,340.415 404.888,340.415 404.932,340.415 \n", " 404.976,340.415 405.019,340.415 405.063,340.415 405.107,340.415 405.151,340.415 405.195,340.415 405.239,340.415 405.282,340.415 405.326,340.415 405.37,340.415 \n", " 405.414,340.415 405.458,340.415 405.502,340.415 405.545,340.415 405.589,340.415 405.633,340.415 405.677,340.415 405.721,340.415 405.765,340.415 405.808,340.415 \n", " 405.852,340.415 405.896,340.415 405.94,340.415 405.984,340.415 406.028,340.415 406.071,340.415 406.115,340.415 406.159,340.415 406.203,340.415 406.247,340.415 \n", " 406.291,340.415 406.334,340.415 406.378,340.415 406.422,340.415 406.466,340.415 406.51,340.415 406.554,340.415 406.598,340.415 406.641,340.415 406.685,340.415 \n", " 406.729,340.415 406.773,340.415 406.817,340.415 406.861,340.415 406.904,340.415 406.948,340.415 406.992,340.415 407.036,340.415 407.08,340.415 407.124,340.415 \n", " 407.167,340.415 407.211,340.415 407.255,340.415 407.299,340.415 407.343,340.415 407.387,340.415 407.43,340.415 407.474,340.415 407.518,340.415 407.562,340.415 \n", " 407.606,340.415 407.65,340.415 407.693,340.415 407.737,340.415 407.781,340.415 407.825,340.415 407.869,340.415 407.913,340.415 407.956,340.415 408,340.415 \n", " 408.044,340.415 408.088,340.415 408.132,340.415 408.176,340.415 408.22,340.415 408.263,340.415 408.307,340.415 408.351,340.415 408.395,340.415 408.439,340.415 \n", " 408.483,340.415 408.526,340.415 408.57,340.415 408.614,340.415 408.658,340.415 408.702,340.415 408.746,340.415 408.789,340.415 408.833,340.415 408.877,340.415 \n", " 408.921,340.415 408.965,340.415 409.009,340.415 409.052,340.415 409.096,340.415 409.14,340.415 409.184,340.415 409.228,340.415 409.272,340.415 409.315,340.415 \n", " 409.359,340.415 409.403,340.415 409.447,340.415 409.491,340.415 409.535,340.415 409.578,340.415 409.622,340.415 409.666,340.415 409.71,340.415 409.754,340.415 \n", " 409.798,340.415 409.841,340.415 409.885,340.415 409.929,340.415 409.973,340.415 410.017,340.415 410.061,340.415 410.105,336.758 410.148,336.758 410.192,336.758 \n", " 410.236,336.758 410.28,336.758 410.324,336.758 410.368,336.758 410.411,336.758 410.455,336.758 410.499,336.758 410.543,336.758 410.587,336.758 410.631,336.758 \n", " 410.674,336.758 410.718,336.758 410.762,336.758 410.806,336.758 410.85,336.758 410.894,336.758 410.937,336.758 410.981,336.758 411.025,336.758 411.069,336.758 \n", " 411.113,336.758 411.157,336.758 411.2,336.758 411.244,336.758 411.288,336.758 411.332,336.758 411.376,336.758 411.42,336.758 411.463,336.758 411.507,336.758 \n", " 411.551,336.758 411.595,336.758 411.639,336.758 411.683,336.758 411.726,336.758 411.77,336.758 411.814,336.758 411.858,336.758 411.902,333.1 411.946,333.1 \n", " 411.99,333.1 412.033,333.1 412.077,333.1 412.121,333.1 412.165,333.1 412.209,333.1 412.253,333.1 412.296,333.1 412.34,333.1 412.384,333.1 \n", " 412.428,333.1 412.472,333.1 412.516,333.1 412.559,329.443 412.603,329.443 412.647,329.443 412.691,329.443 412.735,329.443 412.779,329.443 412.822,329.443 \n", " 412.866,329.443 412.91,329.443 412.954,329.443 412.998,329.443 413.042,329.443 413.085,329.443 413.129,329.443 413.173,329.443 413.217,329.443 413.261,329.443 \n", " 413.305,329.443 413.348,329.443 413.392,329.443 413.436,329.443 413.48,329.443 413.524,329.443 413.568,329.443 413.612,329.443 413.655,329.443 413.699,329.443 \n", " 413.743,329.443 413.787,329.443 413.831,329.443 413.875,329.443 413.918,329.443 413.962,329.443 414.006,329.443 414.05,329.443 414.094,329.443 414.138,329.443 \n", " 414.181,329.443 414.225,329.443 414.269,329.443 414.313,329.443 414.357,329.443 414.401,329.443 414.444,329.443 414.488,329.443 414.532,329.443 414.576,329.443 \n", " 414.62,329.443 414.664,329.443 414.707,329.443 414.751,329.443 414.795,329.443 414.839,329.443 414.883,329.443 414.927,329.443 414.97,329.443 415.014,329.443 \n", " 415.058,329.443 415.102,329.443 415.146,329.443 415.19,329.443 415.233,329.443 415.277,329.443 415.321,329.443 415.365,329.443 415.409,329.443 415.453,329.443 \n", " 415.497,329.443 415.54,329.443 415.584,329.443 415.628,329.443 415.672,329.443 415.716,329.443 415.76,329.443 415.803,329.443 415.847,329.443 415.891,329.443 \n", " 415.935,329.443 415.979,329.443 416.023,329.443 416.066,329.443 416.11,329.443 416.154,329.443 416.198,329.443 416.242,329.443 416.286,329.443 416.329,329.443 \n", " 416.373,329.443 416.417,329.443 416.461,329.443 416.505,329.443 416.549,329.443 416.592,329.443 416.636,329.443 416.68,329.443 416.724,329.443 416.768,329.443 \n", " 416.812,329.443 416.855,329.443 416.899,329.443 416.943,329.443 416.987,329.443 417.031,329.443 417.075,329.443 417.119,329.443 417.162,329.443 417.206,329.443 \n", " 417.25,329.443 417.294,329.443 417.338,329.443 417.382,329.443 417.425,329.443 417.469,329.443 417.513,329.443 417.557,329.443 417.601,329.443 417.645,329.443 \n", " 417.688,329.443 417.732,329.443 417.776,329.443 417.82,329.443 417.864,329.443 417.908,329.443 417.951,329.443 417.995,329.443 418.039,329.443 418.083,329.443 \n", " 418.127,329.443 418.171,329.443 418.214,329.443 418.258,329.443 418.302,329.443 418.346,329.443 418.39,329.443 418.434,329.443 418.477,329.443 418.521,329.443 \n", " 418.565,329.443 418.609,329.443 418.653,329.443 418.697,329.443 418.74,329.443 418.784,329.443 418.828,329.443 418.872,329.443 418.916,329.443 418.96,329.443 \n", " 419.004,329.443 419.047,329.443 419.091,329.443 419.135,329.443 419.179,329.443 419.223,329.443 419.267,329.443 419.31,329.443 419.354,329.443 419.398,329.443 \n", " 419.442,329.443 419.486,329.443 419.53,329.443 419.573,329.443 419.617,329.443 419.661,329.443 419.705,329.443 419.749,329.443 419.793,329.443 419.836,329.443 \n", " 419.88,329.443 419.924,329.443 419.968,329.443 420.012,329.443 420.056,329.443 420.099,329.443 420.143,329.443 420.187,329.443 420.231,329.443 420.275,329.443 \n", " 420.319,329.443 420.362,329.443 420.406,329.443 420.45,329.443 420.494,329.443 420.538,329.443 420.582,329.443 420.626,329.443 420.669,329.443 420.713,329.443 \n", " 420.757,329.443 420.801,329.443 420.845,329.443 420.889,329.443 420.932,329.443 420.976,329.443 421.02,329.443 421.064,329.443 421.108,329.443 421.152,329.443 \n", " 421.195,329.443 421.239,329.443 421.283,325.786 421.327,325.786 421.371,325.786 421.415,325.786 421.458,325.786 421.502,325.786 421.546,325.786 421.59,325.786 \n", " 421.634,325.786 421.678,325.786 421.721,325.786 421.765,325.786 421.809,325.786 421.853,325.786 421.897,325.786 421.941,325.786 421.984,325.786 422.028,325.786 \n", " 422.072,325.786 422.116,325.786 422.16,325.786 422.204,325.786 422.247,325.786 422.291,325.786 422.335,325.786 422.379,325.786 422.423,325.786 422.467,325.786 \n", " 422.511,325.786 422.554,325.786 422.598,325.786 422.642,325.786 422.686,325.786 422.73,325.786 422.774,325.786 422.817,325.786 422.861,325.786 422.905,325.786 \n", " 422.949,325.786 422.993,325.786 423.037,325.786 423.08,325.786 423.124,325.786 423.168,325.786 423.212,325.786 423.256,325.786 423.3,325.786 423.343,325.786 \n", " 423.387,325.786 423.431,325.786 423.475,325.786 423.519,325.786 423.563,325.786 423.606,325.786 423.65,325.786 423.694,325.786 423.738,325.786 423.782,325.786 \n", " 423.826,325.786 423.869,325.786 423.913,325.786 423.957,325.786 424.001,325.786 424.045,325.786 424.089,325.786 424.132,325.786 424.176,325.786 424.22,325.786 \n", " 424.264,325.786 424.308,325.786 424.352,325.786 424.396,325.786 424.439,325.786 424.483,325.786 424.527,325.786 424.571,325.786 424.615,325.786 424.659,325.786 \n", " 424.702,325.786 424.746,325.786 424.79,325.786 424.834,325.786 424.878,325.786 424.922,325.786 424.965,325.786 425.009,325.786 425.053,325.786 425.097,325.786 \n", " 425.141,325.786 425.185,325.786 425.228,325.786 425.272,325.786 425.316,325.786 425.36,325.786 425.404,325.786 425.448,325.786 425.491,325.786 425.535,325.786 \n", " 425.579,325.786 425.623,325.786 425.667,325.786 425.711,325.786 425.754,325.786 425.798,325.786 425.842,325.786 425.886,325.786 425.93,325.786 425.974,325.786 \n", " 426.018,325.786 426.061,325.786 426.105,325.786 426.149,325.786 426.193,325.786 426.237,325.786 426.281,325.786 426.324,325.786 426.368,325.786 426.412,325.786 \n", " 426.456,325.786 426.5,325.786 426.544,325.786 426.587,325.786 426.631,325.786 426.675,325.786 426.719,325.786 426.763,325.786 426.807,325.786 426.85,325.786 \n", " 426.894,325.786 426.938,325.786 426.982,325.786 427.026,325.786 427.07,325.786 427.113,325.786 427.157,325.786 427.201,325.786 427.245,325.786 427.289,325.786 \n", " 427.333,325.786 427.376,322.128 427.42,322.128 427.464,322.128 427.508,322.128 427.552,322.128 427.596,322.128 427.639,322.128 427.683,322.128 427.727,322.128 \n", " 427.771,322.128 427.815,322.128 427.859,322.128 427.903,322.128 427.946,322.128 427.99,322.128 428.034,322.128 428.078,322.128 428.122,322.128 428.166,322.128 \n", " 428.209,322.128 428.253,322.128 428.297,322.128 428.341,322.128 428.385,322.128 428.429,322.128 428.472,322.128 428.516,322.128 428.56,322.128 428.604,322.128 \n", " 428.648,322.128 428.692,322.128 428.735,322.128 428.779,322.128 428.823,322.128 428.867,322.128 428.911,322.128 428.955,322.128 428.998,322.128 429.042,322.128 \n", " 429.086,322.128 429.13,322.128 429.174,322.128 429.218,322.128 429.261,322.128 429.305,322.128 429.349,322.128 429.393,322.128 429.437,322.128 429.481,322.128 \n", " 429.525,322.128 429.568,322.128 429.612,322.128 429.656,322.128 429.7,322.128 429.744,322.128 429.788,318.471 429.831,318.471 429.875,318.471 429.919,318.471 \n", " 429.963,318.471 430.007,318.471 430.051,318.471 430.094,318.471 430.138,318.471 430.182,318.471 430.226,318.471 430.27,318.471 430.314,318.471 430.357,318.471 \n", " 430.401,318.471 430.445,318.471 430.489,318.471 430.533,318.471 430.577,318.471 430.62,318.471 430.664,318.471 430.708,318.471 430.752,318.471 430.796,318.471 \n", " 430.84,318.471 430.883,318.471 430.927,318.471 430.971,318.471 431.015,318.471 431.059,318.471 431.103,318.471 431.146,318.471 431.19,318.471 431.234,318.471 \n", " 431.278,318.471 431.322,318.471 431.366,318.471 431.41,318.471 431.453,318.471 431.497,318.471 431.541,318.471 431.585,318.471 431.629,318.471 431.673,318.471 \n", " 431.716,318.471 431.76,318.471 431.804,318.471 431.848,318.471 431.892,318.471 431.936,318.471 431.979,318.471 432.023,318.471 432.067,318.471 432.111,318.471 \n", " 432.155,318.471 432.199,318.471 432.242,318.471 432.286,318.471 432.33,318.471 432.374,318.471 432.418,318.471 432.462,318.471 432.505,318.471 432.549,318.471 \n", " 432.593,318.471 432.637,318.471 432.681,318.471 432.725,318.471 432.768,318.471 432.812,318.471 432.856,318.471 432.9,318.471 432.944,318.471 432.988,318.471 \n", " 433.032,318.471 433.075,318.471 433.119,318.471 433.163,318.471 433.207,318.471 433.251,318.471 433.295,318.471 433.338,318.471 433.382,318.471 433.426,318.471 \n", " 433.47,318.471 433.514,318.471 433.558,318.471 433.601,318.471 433.645,318.471 433.689,318.471 433.733,318.471 433.777,318.471 433.821,318.471 433.864,318.471 \n", " 433.908,318.471 433.952,318.471 433.996,318.471 434.04,318.471 434.084,318.471 434.127,318.471 434.171,318.471 434.215,318.471 434.259,318.471 434.303,318.471 \n", " 434.347,318.471 434.39,318.471 434.434,318.471 434.478,318.471 434.522,318.471 434.566,318.471 434.61,318.471 434.653,318.471 434.697,318.471 434.741,318.471 \n", " 434.785,318.471 434.829,318.471 434.873,318.471 434.917,318.471 434.96,318.471 435.004,318.471 435.048,318.471 435.092,318.471 435.136,318.471 435.18,318.471 \n", " 435.223,318.471 435.267,318.471 435.311,318.471 435.355,318.471 435.399,318.471 435.443,318.471 435.486,318.471 435.53,318.471 435.574,318.471 435.618,318.471 \n", " 435.662,318.471 435.706,318.471 435.749,318.471 435.793,318.471 435.837,318.471 435.881,318.471 435.925,318.471 435.969,318.471 436.012,318.471 436.056,318.471 \n", " 436.1,318.471 436.144,318.471 436.188,318.471 436.232,318.471 436.275,318.471 436.319,318.471 436.363,318.471 436.407,318.471 436.451,318.471 436.495,318.471 \n", " 436.538,318.471 436.582,318.471 436.626,318.471 436.67,318.471 436.714,318.471 436.758,318.471 436.802,318.471 436.845,318.471 436.889,318.471 436.933,318.471 \n", " 436.977,318.471 437.021,318.471 437.065,318.471 437.108,318.471 437.152,318.471 437.196,318.471 437.24,318.471 437.284,318.471 437.328,318.471 437.371,318.471 \n", " 437.415,318.471 437.459,318.471 437.503,318.471 437.547,318.471 437.591,318.471 437.634,318.471 437.678,318.471 437.722,318.471 437.766,318.471 437.81,318.471 \n", " 437.854,318.471 437.897,318.471 437.941,318.471 437.985,318.471 438.029,318.471 438.073,318.471 438.117,318.471 438.16,318.471 438.204,318.471 438.248,318.471 \n", " 438.292,318.471 438.336,318.471 438.38,318.471 438.424,318.471 438.467,318.471 438.511,318.471 438.555,318.471 438.599,318.471 438.643,318.471 438.687,318.471 \n", " 438.73,318.471 438.774,318.471 438.818,318.471 438.862,318.471 438.906,318.471 438.95,318.471 438.993,318.471 439.037,318.471 439.081,318.471 439.125,318.471 \n", " 439.169,318.471 439.213,318.471 439.256,318.471 439.3,318.471 439.344,318.471 439.388,318.471 439.432,318.471 439.476,318.471 439.519,318.471 439.563,318.471 \n", " 439.607,318.471 439.651,318.471 439.695,318.471 439.739,318.471 439.782,318.471 439.826,318.471 439.87,318.471 439.914,318.471 439.958,318.471 440.002,318.471 \n", " 440.045,318.471 440.089,318.471 440.133,318.471 440.177,318.471 440.221,318.471 440.265,318.471 440.309,318.471 440.352,318.471 440.396,318.471 440.44,318.471 \n", " 440.484,318.471 440.528,318.471 440.572,318.471 440.615,318.471 440.659,318.471 440.703,318.471 440.747,318.471 440.791,318.471 440.835,318.471 440.878,318.471 \n", " 440.922,318.471 440.966,318.471 441.01,318.471 441.054,318.471 441.098,318.471 441.141,318.471 441.185,318.471 441.229,318.471 441.273,318.471 441.317,318.471 \n", " 441.361,318.471 441.404,318.471 441.448,318.471 441.492,318.471 441.536,318.471 441.58,318.471 441.624,318.471 441.667,318.471 441.711,318.471 441.755,318.471 \n", " 441.799,318.471 441.843,318.471 441.887,318.471 441.931,318.471 441.974,318.471 442.018,318.471 442.062,318.471 442.106,318.471 442.15,318.471 442.194,318.471 \n", " 442.237,318.471 442.281,318.471 442.325,318.471 442.369,318.471 442.413,318.471 442.457,318.471 442.5,318.471 442.544,318.471 442.588,318.471 442.632,318.471 \n", " 442.676,318.471 442.72,318.471 442.763,318.471 442.807,318.471 442.851,318.471 442.895,318.471 442.939,318.471 442.983,318.471 443.026,318.471 443.07,318.471 \n", " 443.114,318.471 443.158,318.471 443.202,318.471 443.246,318.471 443.289,318.471 443.333,318.471 443.377,318.471 443.421,318.471 443.465,318.471 443.509,318.471 \n", " 443.552,318.471 443.596,318.471 443.64,318.471 443.684,318.471 443.728,318.471 443.772,318.471 443.816,318.471 443.859,318.471 443.903,318.471 443.947,318.471 \n", " 443.991,318.471 444.035,318.471 444.079,318.471 444.122,318.471 444.166,318.471 444.21,318.471 444.254,318.471 444.298,318.471 444.342,318.471 444.385,318.471 \n", " 444.429,318.471 444.473,318.471 444.517,318.471 444.561,318.471 444.605,318.471 444.648,318.471 444.692,318.471 444.736,318.471 444.78,318.471 444.824,318.471 \n", " 444.868,318.471 444.911,318.471 444.955,314.814 444.999,314.814 445.043,314.814 445.087,314.814 445.131,314.814 445.174,314.814 445.218,314.814 445.262,314.814 \n", " 445.306,314.814 445.35,314.814 445.394,314.814 445.438,314.814 445.481,314.814 445.525,314.814 445.569,314.814 445.613,314.814 445.657,314.814 445.701,314.814 \n", " 445.744,314.814 445.788,314.814 445.832,314.814 445.876,314.814 445.92,314.814 445.964,314.814 446.007,314.814 446.051,314.814 446.095,314.814 446.139,314.814 \n", " 446.183,314.814 446.227,314.814 446.27,314.814 446.314,314.814 446.358,314.814 446.402,314.814 446.446,314.814 446.49,314.814 446.533,314.814 446.577,314.814 \n", " 446.621,314.814 446.665,314.814 446.709,314.814 446.753,314.814 446.796,314.814 446.84,314.814 446.884,314.814 446.928,314.814 446.972,314.814 447.016,314.814 \n", " 447.059,314.814 447.103,314.814 447.147,314.814 447.191,314.814 447.235,314.814 447.279,314.814 447.323,314.814 447.366,314.814 447.41,314.814 447.454,314.814 \n", " 447.498,314.814 447.542,314.814 447.586,314.814 447.629,314.814 447.673,314.814 447.717,314.814 447.761,314.814 447.805,314.814 447.849,314.814 447.892,314.814 \n", " 447.936,314.814 447.98,314.814 448.024,314.814 448.068,314.814 448.112,314.814 448.155,314.814 448.199,314.814 448.243,314.814 448.287,314.814 448.331,314.814 \n", " 448.375,314.814 448.418,314.814 448.462,314.814 448.506,314.814 448.55,314.814 448.594,314.814 448.638,314.814 448.681,314.814 448.725,314.814 448.769,314.814 \n", " 448.813,314.814 448.857,314.814 448.901,314.814 448.944,314.814 448.988,314.814 449.032,314.814 449.076,314.814 449.12,314.814 449.164,314.814 449.208,314.814 \n", " 449.251,314.814 449.295,314.814 449.339,314.814 449.383,314.814 449.427,314.814 449.471,314.814 449.514,314.814 449.558,314.814 449.602,314.814 449.646,314.814 \n", " 449.69,314.814 449.734,314.814 449.777,314.814 449.821,314.814 449.865,314.814 449.909,314.814 449.953,314.814 449.997,314.814 450.04,314.814 450.084,314.814 \n", " 450.128,314.814 450.172,314.814 450.216,314.814 450.26,314.814 450.303,314.814 450.347,314.814 450.391,314.814 450.435,314.814 450.479,314.814 450.523,314.814 \n", " 450.566,314.814 450.61,314.814 450.654,314.814 450.698,314.814 450.742,314.814 450.786,314.814 450.83,314.814 450.873,314.814 450.917,314.814 450.961,314.814 \n", " 451.005,314.814 451.049,314.814 451.093,314.814 451.136,314.814 451.18,314.814 451.224,314.814 451.268,314.814 451.312,314.814 451.356,314.814 451.399,314.814 \n", " 451.443,314.814 451.487,314.814 451.531,314.814 451.575,314.814 451.619,314.814 451.662,314.814 451.706,314.814 451.75,314.814 451.794,314.814 451.838,314.814 \n", " 451.882,314.814 451.925,314.814 451.969,314.814 452.013,314.814 452.057,314.814 452.101,314.814 452.145,314.814 452.188,314.814 452.232,314.814 452.276,314.814 \n", " 452.32,314.814 452.364,314.814 452.408,314.814 452.451,314.814 452.495,314.814 452.539,314.814 452.583,314.814 452.627,314.814 452.671,314.814 452.715,314.814 \n", " 452.758,314.814 452.802,314.814 452.846,314.814 452.89,314.814 452.934,314.814 452.978,314.814 453.021,314.814 453.065,314.814 453.109,314.814 453.153,314.814 \n", " 453.197,314.814 453.241,314.814 453.284,314.814 453.328,314.814 453.372,314.814 453.416,314.814 453.46,314.814 453.504,314.814 453.547,314.814 453.591,314.814 \n", " 453.635,314.814 453.679,314.814 453.723,314.814 453.767,314.814 453.81,314.814 453.854,314.814 453.898,314.814 453.942,314.814 453.986,314.814 454.03,314.814 \n", " 454.073,314.814 454.117,314.814 454.161,314.814 454.205,314.814 454.249,314.814 454.293,314.814 454.337,314.814 454.38,314.814 454.424,314.814 454.468,314.814 \n", " 454.512,314.814 454.556,314.814 454.6,314.814 454.643,314.814 454.687,314.814 454.731,314.814 454.775,314.814 454.819,314.814 454.863,314.814 454.906,314.814 \n", " 454.95,311.156 454.994,311.156 455.038,311.156 455.082,311.156 455.126,311.156 455.169,311.156 455.213,311.156 455.257,311.156 455.301,311.156 455.345,311.156 \n", " 455.389,311.156 455.432,311.156 455.476,311.156 455.52,311.156 455.564,311.156 455.608,311.156 455.652,311.156 455.695,311.156 455.739,311.156 455.783,311.156 \n", " 455.827,311.156 455.871,311.156 455.915,311.156 455.958,311.156 456.002,311.156 456.046,311.156 456.09,311.156 456.134,311.156 456.178,311.156 456.222,311.156 \n", " 456.265,311.156 456.309,311.156 456.353,311.156 456.397,311.156 456.441,311.156 456.485,311.156 456.528,311.156 456.572,311.156 456.616,311.156 456.66,311.156 \n", " 456.704,311.156 456.748,311.156 456.791,311.156 456.835,311.156 456.879,311.156 456.923,311.156 456.967,311.156 457.011,311.156 457.054,311.156 457.098,311.156 \n", " 457.142,311.156 457.186,311.156 457.23,311.156 457.274,311.156 457.317,311.156 457.361,311.156 457.405,311.156 457.449,311.156 457.493,311.156 457.537,311.156 \n", " 457.58,311.156 457.624,311.156 457.668,311.156 457.712,311.156 457.756,311.156 457.8,311.156 457.844,311.156 457.887,311.156 457.931,311.156 457.975,311.156 \n", " 458.019,311.156 458.063,311.156 458.107,311.156 458.15,311.156 458.194,311.156 458.238,311.156 458.282,311.156 458.326,311.156 458.37,311.156 458.413,311.156 \n", " 458.457,311.156 458.501,311.156 458.545,311.156 458.589,307.499 458.633,307.499 458.676,307.499 458.72,307.499 458.764,307.499 458.808,307.499 458.852,307.499 \n", " 458.896,307.499 458.939,307.499 458.983,307.499 459.027,307.499 459.071,307.499 459.115,307.499 459.159,307.499 459.202,307.499 459.246,307.499 459.29,307.499 \n", " 459.334,307.499 459.378,307.499 459.422,307.499 459.465,307.499 459.509,307.499 459.553,307.499 459.597,307.499 459.641,307.499 459.685,307.499 459.729,307.499 \n", " 459.772,307.499 459.816,307.499 459.86,307.499 459.904,307.499 459.948,307.499 459.992,307.499 460.035,307.499 460.079,307.499 460.123,307.499 460.167,307.499 \n", " 460.211,307.499 460.255,307.499 460.298,307.499 460.342,307.499 460.386,307.499 460.43,307.499 460.474,307.499 460.518,307.499 460.561,307.499 460.605,307.499 \n", " 460.649,307.499 460.693,307.499 460.737,307.499 460.781,307.499 460.824,307.499 460.868,307.499 460.912,307.499 460.956,307.499 461,307.499 461.044,307.499 \n", " 461.087,307.499 461.131,307.499 461.175,307.499 461.219,307.499 461.263,307.499 461.307,307.499 461.35,307.499 461.394,307.499 461.438,307.499 461.482,307.499 \n", " 461.526,307.499 461.57,307.499 461.614,307.499 461.657,307.499 461.701,307.499 461.745,307.499 461.789,307.499 461.833,307.499 461.877,307.499 461.92,307.499 \n", " 461.964,307.499 462.008,307.499 462.052,307.499 462.096,307.499 462.14,307.499 462.183,307.499 462.227,307.499 462.271,307.499 462.315,307.499 462.359,307.499 \n", " 462.403,307.499 462.446,307.499 462.49,307.499 462.534,307.499 462.578,307.499 462.622,307.499 462.666,307.499 462.709,307.499 462.753,307.499 462.797,307.499 \n", " 462.841,307.499 462.885,307.499 462.929,307.499 462.972,307.499 463.016,307.499 463.06,307.499 463.104,307.499 463.148,307.499 463.192,307.499 463.236,307.499 \n", " 463.279,307.499 463.323,307.499 463.367,307.499 463.411,307.499 463.455,307.499 463.499,307.499 463.542,307.499 463.586,307.499 463.63,307.499 463.674,307.499 \n", " 463.718,307.499 463.762,307.499 463.805,307.499 463.849,307.499 463.893,307.499 463.937,307.499 463.981,307.499 464.025,307.499 464.068,307.499 464.112,307.499 \n", " 464.156,307.499 464.2,307.499 464.244,307.499 464.288,307.499 464.331,307.499 464.375,307.499 464.419,307.499 464.463,307.499 464.507,307.499 464.551,307.499 \n", " 464.594,307.499 464.638,307.499 464.682,307.499 464.726,307.499 464.77,307.499 464.814,307.499 464.857,307.499 464.901,307.499 464.945,307.499 464.989,307.499 \n", " 465.033,307.499 465.077,307.499 465.121,307.499 465.164,307.499 465.208,307.499 465.252,307.499 465.296,307.499 465.34,307.499 465.384,307.499 465.427,307.499 \n", " 465.471,307.499 465.515,307.499 465.559,307.499 465.603,307.499 465.647,307.499 465.69,307.499 465.734,307.499 465.778,307.499 465.822,307.499 465.866,307.499 \n", " 465.91,307.499 465.953,307.499 465.997,307.499 466.041,307.499 466.085,307.499 466.129,307.499 466.173,307.499 466.216,307.499 466.26,307.499 466.304,307.499 \n", " 466.348,307.499 466.392,307.499 466.436,307.499 466.479,307.499 466.523,307.499 466.567,307.499 466.611,307.499 466.655,307.499 466.699,307.499 466.743,307.499 \n", " 466.786,307.499 466.83,307.499 466.874,307.499 466.918,307.499 466.962,307.499 467.006,307.499 467.049,307.499 467.093,307.499 467.137,307.499 467.181,307.499 \n", " 467.225,307.499 467.269,307.499 467.312,307.499 467.356,307.499 467.4,307.499 467.444,307.499 467.488,307.499 467.532,307.499 467.575,307.499 467.619,307.499 \n", " 467.663,307.499 467.707,307.499 467.751,307.499 467.795,307.499 467.838,307.499 467.882,307.499 467.926,307.499 467.97,307.499 468.014,307.499 468.058,307.499 \n", " 468.101,307.499 468.145,307.499 468.189,307.499 468.233,307.499 468.277,307.499 468.321,307.499 468.364,307.499 468.408,307.499 468.452,307.499 468.496,307.499 \n", " 468.54,307.499 468.584,307.499 468.628,307.499 468.671,307.499 468.715,307.499 468.759,307.499 468.803,307.499 468.847,307.499 468.891,307.499 468.934,307.499 \n", " 468.978,307.499 469.022,307.499 469.066,307.499 469.11,307.499 469.154,307.499 469.197,307.499 469.241,307.499 469.285,307.499 469.329,307.499 469.373,307.499 \n", " 469.417,307.499 469.46,307.499 469.504,307.499 469.548,307.499 469.592,307.499 469.636,307.499 469.68,307.499 469.723,307.499 469.767,307.499 469.811,307.499 \n", " 469.855,307.499 469.899,307.499 469.943,307.499 469.986,307.499 470.03,307.499 470.074,307.499 470.118,307.499 470.162,307.499 470.206,307.499 470.249,307.499 \n", " 470.293,307.499 470.337,307.499 470.381,307.499 470.425,307.499 470.469,307.499 470.513,307.499 470.556,307.499 470.6,307.499 470.644,307.499 470.688,307.499 \n", " 470.732,307.499 470.776,307.499 470.819,307.499 470.863,307.499 470.907,307.499 470.951,307.499 470.995,307.499 471.039,307.499 471.082,307.499 471.126,307.499 \n", " 471.17,307.499 471.214,307.499 471.258,307.499 471.302,307.499 471.345,307.499 471.389,307.499 471.433,307.499 471.477,307.499 471.521,307.499 471.565,307.499 \n", " 471.608,307.499 471.652,307.499 471.696,307.499 471.74,307.499 471.784,307.499 471.828,307.499 471.871,307.499 471.915,307.499 471.959,307.499 472.003,307.499 \n", " 472.047,307.499 472.091,307.499 472.135,307.499 472.178,307.499 472.222,307.499 472.266,307.499 472.31,307.499 472.354,307.499 472.398,307.499 472.441,307.499 \n", " 472.485,307.499 472.529,307.499 472.573,307.499 472.617,307.499 472.661,307.499 472.704,307.499 472.748,307.499 472.792,307.499 472.836,307.499 472.88,307.499 \n", " 472.924,307.499 472.967,307.499 473.011,303.841 473.055,303.841 473.099,303.841 473.143,303.841 473.187,303.841 473.23,303.841 473.274,303.841 473.318,303.841 \n", " 473.362,303.841 473.406,303.841 473.45,303.841 473.493,303.841 473.537,303.841 473.581,303.841 473.625,303.841 473.669,303.841 473.713,303.841 473.756,303.841 \n", " 473.8,303.841 473.844,303.841 473.888,303.841 473.932,303.841 473.976,303.841 474.02,303.841 474.063,303.841 474.107,303.841 474.151,303.841 474.195,303.841 \n", " 474.239,303.841 474.283,303.841 474.326,303.841 474.37,303.841 474.414,303.841 474.458,303.841 474.502,303.841 474.546,303.841 474.589,303.841 474.633,303.841 \n", " 474.677,303.841 474.721,303.841 474.765,303.841 474.809,303.841 474.852,303.841 474.896,303.841 474.94,303.841 474.984,303.841 475.028,303.841 475.072,303.841 \n", " 475.115,303.841 475.159,303.841 475.203,303.841 475.247,303.841 475.291,303.841 475.335,303.841 475.378,303.841 475.422,303.841 475.466,303.841 475.51,303.841 \n", " 475.554,303.841 475.598,303.841 475.642,303.841 475.685,303.841 475.729,303.841 475.773,303.841 475.817,303.841 475.861,303.841 475.905,303.841 475.948,303.841 \n", " 475.992,300.184 476.036,300.184 476.08,300.184 476.124,300.184 476.168,300.184 476.211,300.184 476.255,300.184 476.299,300.184 476.343,300.184 476.387,300.184 \n", " 476.431,300.184 476.474,300.184 476.518,300.184 476.562,300.184 476.606,300.184 476.65,300.184 476.694,300.184 476.737,300.184 476.781,300.184 476.825,300.184 \n", " 476.869,300.184 476.913,300.184 476.957,300.184 477,300.184 477.044,300.184 477.088,300.184 477.132,300.184 477.176,300.184 477.22,300.184 477.263,300.184 \n", " 477.307,300.184 477.351,300.184 477.395,300.184 477.439,300.184 477.483,300.184 477.527,300.184 477.57,300.184 477.614,300.184 477.658,300.184 477.702,300.184 \n", " 477.746,300.184 477.79,300.184 477.833,300.184 477.877,300.184 477.921,300.184 477.965,300.184 478.009,300.184 478.053,300.184 478.096,300.184 478.14,300.184 \n", " 478.184,300.184 478.228,300.184 478.272,300.184 478.316,300.184 478.359,300.184 478.403,300.184 478.447,300.184 478.491,300.184 478.535,300.184 478.579,300.184 \n", " 478.622,300.184 478.666,300.184 478.71,300.184 478.754,300.184 478.798,300.184 478.842,300.184 478.885,300.184 478.929,300.184 478.973,300.184 479.017,300.184 \n", " 479.061,300.184 479.105,300.184 479.149,300.184 479.192,300.184 479.236,300.184 479.28,300.184 479.324,300.184 479.368,300.184 479.412,300.184 479.455,300.184 \n", " 479.499,300.184 479.543,300.184 479.587,300.184 479.631,300.184 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498.086,292.869 498.13,292.869 498.174,292.869 498.218,292.869 498.262,292.869 498.305,292.869 \n", " 498.349,292.869 498.393,292.869 498.437,292.869 498.481,292.869 498.525,292.869 498.568,292.869 498.612,292.869 498.656,292.869 498.7,292.869 498.744,292.869 \n", " 498.788,292.869 498.832,292.869 498.875,292.869 498.919,292.869 498.963,292.869 499.007,292.869 499.051,292.869 499.095,292.869 499.138,292.869 499.182,292.869 \n", " 499.226,292.869 499.27,292.869 499.314,292.869 499.358,292.869 499.401,292.869 499.445,292.869 499.489,292.869 499.533,292.869 499.577,292.869 499.621,292.869 \n", " 499.664,292.869 499.708,292.869 499.752,292.869 499.796,292.869 499.84,292.869 499.884,292.869 499.927,292.869 499.971,292.869 500.015,292.869 500.059,292.869 \n", " 500.103,292.869 500.147,292.869 500.19,292.869 500.234,292.869 500.278,292.869 500.322,292.869 500.366,292.869 500.41,292.869 500.454,292.869 500.497,292.869 \n", " 500.541,292.869 500.585,292.869 500.629,292.869 500.673,289.212 500.717,289.212 500.76,289.212 500.804,289.212 500.848,289.212 500.892,289.212 500.936,289.212 \n", " 500.98,289.212 501.023,289.212 501.067,289.212 501.111,289.212 501.155,289.212 501.199,289.212 501.243,289.212 501.286,289.212 501.33,289.212 501.374,289.212 \n", " 501.418,289.212 501.462,289.212 501.506,289.212 501.549,289.212 501.593,289.212 501.637,289.212 501.681,289.212 501.725,289.212 501.769,289.212 501.812,289.212 \n", " 501.856,289.212 501.9,289.212 501.944,289.212 501.988,289.212 502.032,289.212 502.075,289.212 502.119,289.212 502.163,289.212 502.207,289.212 502.251,289.212 \n", " 502.295,289.212 502.339,289.212 502.382,289.212 502.426,289.212 502.47,289.212 502.514,289.212 502.558,289.212 502.602,289.212 502.645,289.212 502.689,289.212 \n", " 502.733,289.212 502.777,289.212 502.821,289.212 502.865,289.212 502.908,289.212 502.952,289.212 502.996,289.212 503.04,289.212 503.084,289.212 503.128,289.212 \n", " 503.171,289.212 503.215,289.212 503.259,289.212 503.303,289.212 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508.607,285.555 508.651,285.555 508.695,285.555 508.739,285.555 508.783,285.555 508.826,285.555 \n", " 508.87,285.555 508.914,285.555 508.958,285.555 509.002,285.555 509.046,285.555 509.089,285.555 509.133,285.555 509.177,285.555 509.221,285.555 509.265,285.555 \n", " 509.309,285.555 509.353,285.555 509.396,285.555 509.44,285.555 509.484,285.555 509.528,285.555 509.572,285.555 509.616,285.555 509.659,285.555 509.703,285.555 \n", " 509.747,285.555 509.791,285.555 509.835,285.555 509.879,285.555 509.922,285.555 509.966,285.555 510.01,285.555 510.054,285.555 510.098,285.555 510.142,285.555 \n", " 510.185,285.555 510.229,285.555 510.273,285.555 510.317,285.555 510.361,285.555 510.405,285.555 510.448,285.555 510.492,285.555 510.536,285.555 510.58,285.555 \n", " 510.624,285.555 510.668,285.555 510.711,285.555 510.755,285.555 510.799,285.555 510.843,285.555 510.887,285.555 510.931,285.555 510.974,285.555 511.018,285.555 \n", " 511.062,285.555 511.106,285.555 511.15,285.555 511.194,281.897 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x=\"541.696\" y=\"59.557\">u2(t)</text>\n", "</g>\n", "<polyline clip-path=\"url(#clip00)\" style=\"stroke:#3cb370; stroke-width:2.4; stroke-opacity:1; fill:none\" points=\"\n", " 499.696,70.177 535.696,70.177 \n", " \"/>\n", "<g clip-path=\"url(#clip00)\">\n", "<text style=\"fill:#00002d; fill-opacity:1; font-family:Arial,Helvetica Neue,Helvetica,sans-serif; font-size:12; text-anchor:start;\" transform=\"rotate(0, 541.696, 74.677)\" x=\"541.696\" y=\"74.677\">u3(t)</text>\n", "</g>\n", "</svg>\n" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "sol = solve(jump_prob,Discrete(apply_map=false));\n", "plot(sol)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Mix jumps and differential equations" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "diff_f = function (du,u,p,t)\n", " du[4] = u[2]*u[3]/1000 - u[1]*u[2]/100000\n", "end\n", "diff_g = function (du,u,p,t)\n", " du[4] = 0.1u[4]\n", "end\n", "\n", "prob = SDEProblem(diff_f,diff_g,[100.0,1.0,0.0,1.0],(0.0,100.0))\n", "jump_prob = JumpProblem(prob,Direct(),jump,jump2)\n", "sol = solve(jump_prob,SRIW1(),abstol=1e-1,reltol=1e-1); plot(sol)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "<center><img src=\"https://user-images.githubusercontent.com/1814174/27303007-1867b652-54ee-11e7-9380-61cf6ab0ceed.png\"></center>" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## These features together allow for expressive scientific modeling\n", "\n", "Let's go back to the multiscale embyro model:\n", "\n", "- We can have cell proteins change according to a stochastic differential equation\n", "- A rate of division can be dependent on a specific \"growth factor\"\n", "- \"Jumps\" using this rate can cause cell division, growing our multiscale model\n", "- We get high performance algorithms and optimized implementations the whole way down.\n", "\n", "<3 Julia" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Addons\n", "\n", "Up until now, I have shown how to solve many different equations and encode a wide variety of models to simulate using the various solvers in DifferentialEquations.jl. But because all of this uses a single interface, an addon suite was able to be developed.\n", "\n", "- Tools for automatic parallelization of Monte Carlo simulations\n", "- Uncertainty quantification\n", "- Parameter estimation and data fitting" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Monte Carlo Simulations\n", "\n", "Many times you need to solve the same equation multiple times. This is especially true for stochastic simulations." ] }, { "cell_type": "code", "execution_count": 29, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "pf = function (du,u,p,t)\n", " du[1] = p[1] * u[1] - p[2] * u[1]*u[2]\n", " du[2] = -3 * u[2] + u[1]*u[2]\n", "end\n", "pf = ParameterizedFunction(pf_func,)\n", "pg = function (du,u,p,t)\n", " du[1] = p[3]*u[1]\n", " du[2] = p[4]*u[2]\n", "end\n", "p = [1.5,1.0,0.1,0.1]\n", "prob = SDEProblem(pf,pg,[1.0,1.0],(0.0,10.0),p)\n", "\n", "prob_func = function (prob,i)\n", " problem_new_parameters(prob,[1.5,1.0,0.3rand(),0.3rand()])\n", " prob\n", "end\n", "monte_prob = MonteCarloProblem(prob,prob_func=prob_func)\n", "sim = solve(monte_prob,SRIW1(),num_monte=10);" ] }, { "cell_type": "code", "execution_count": 30, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/html": [ "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n", "<svg 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Estimation\n", "\n", "Instead of simply solving differential equation models, one can ask the inverse problem: given that I see data like `y`, what needs to be true about the model such that we can match the data?\n", "\n", "The act of estimating the parameters for a mechanistic differential equation model is called parameter estimation.\n", "\n", "- Parameter estimation required repeated solving of differential equations\n", " - Solving equations must be fast\n", "- It requires access to optimization routines (global optimization is necessary)\n", "- Machine learning tools (regularization, cross validation, etc.) are a must\n", "\n", "Thus DifferentialEquations.jl is well-suited for handling these kinds of problems." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Problem Setup" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [], "source": [ "using DifferentialEquations, Plots; gr()\n", "lotka = @ode_def_nohes LotkaVolterraTest begin\n", " dx = a*x - b*x*y\n", " dy = -c*y + d*x*y\n", "end a b c d\n", "\n", "p = [1.5,1.0,3.0,1.0]\n", "u0 = [1.0;1.0]; tspan = (0.0,10.0); \n", "prob = ODEProblem(lotka,u0,tspan,p)\n", "sol = solve(prob,Vern8(),abstol=1e-14,reltol=1e-14); \n", "t = collect(linspace(0,10,200))\n", "randomized = [(sol(t[i]) + .01randn(2)) for i in 1:length(t)]\n", "using RecursiveArrayTools; \n", "data = vecvec_to_mat(randomized); " ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "outputs": [ { "data": { "text/html": [ "<?xml version=\"1.0\" encoding=\"utf-8\"?>\n", "<svg xmlns=\"http://www.w3.org/2000/svg\" xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"600\" height=\"400\" viewBox=\"0 0 600 400\">\n", "<defs>\n", " <clipPath id=\"clip00\">\n", " <rect x=\"0\" y=\"0\" width=\"600\" height=\"400\"/>\n", " </clipPath>\n", 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" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "(::DiffEqObjective) (generic function with 2 methods)" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "obj = build_loss_objective(prob,Tsit5(),CostVData(t,data),maxiters=10000,verbose=true)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Let's recover the parameters using the NLopt.jl package" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "outputs": [ { "data": { "text/plain": [ "(0.004039644894588035,[1.5,0.999476,2.99947,0.99869],:ROUNDOFF_LIMITED)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import NLopt\n", "opt = NLopt.Opt(:LN_BOBYQA, 4)\n", "NLopt.lower_bounds!(opt,zeros(4))\n", "NLopt.upper_bounds!(opt,5ones(4))\n", "NLopt.min_objective!(opt, obj)\n", "NLopt.maxeval!(opt, Int(1e5))\n", "(minf,minx,ret) = NLopt.optimize(opt,ones(4))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## What's Next?\n", "\n", "The next focus for DifferentialEquations.jl development is PDEs and stiff problems\n", "\n", "- Native Julia stiff solvers are currently a lower order of accuracy then the top methods (@miguelraz's GSoC project will help here)\n", "- Parallel-in-time Neural Network methods for large systems of stiff ODEs/SDEs (@akaysh's GSoC project)\n", "- Fast matrix-free operators for FDM derivative discretizations (@shivin9's GSoC project)\n", "- A wrapper for FEniCS's FEM toolbox (@ysimillides's GSoC project)\n", "- High order Rosenbrock methods\n", "- Stiffness detection and switching (already implemented, but no default methods)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Other areas which are under development are:\n", "\n", "- New high order (+ adaptive) methods for SDEs will be published soon (orders of magnitude improvement)\n", "- Integration of regularization, maximum likelihood, and Bayesian (MCMC) techniques for parameter estimation (@ayush-iitkgp's GSoC project)\n", "- Boundary value problem solvers (@YingboMa's GSoC project)\n", "- More geometric and symplectic integrators\n", "- Integration of DiffEq with applications (large scale biological models, Pk/Pd estimation, tools for physical and financial modeling)" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Acknowledgments\n", "\n", "I am deeply indebted to every JuliaDiffEq contributor. I would like to especially thank:\n", "\n", "- Gabriel Gellner\n", "- Ethan Levien\n", "- Scott P. Jones\n", "- Lyndon White\n", "- @finmod\n", "- @dextorious \n", "- Viral Shah\n", "- Vijay Ivaturi\n", "- Andreas Rossler\n", "- Ernst Hairer\n", "- Lawrance F. Shampine" ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Julia 0.5.2", "language": "julia", "name": "julia-0.5" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "0.5.2" } }, "nbformat": 4, "nbformat_minor": 1 }