generate-project-toml.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "1258ec4d",
   "metadata": {},
   "source": [
    "# Generating Project.toml and Manifest.toml\n",
    "\n",
    "See README.md on how to use this file."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "a621e90f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Base.EnvDict with 29 entries:\n",
       "  \"SHELL\"           => \"/bin/bash\"\n",
       "  \"WSL_DISTRO_NAME\" => \"Ubuntu\"\n",
       "  \"WT_SESSION\"      => \"93eb1299-fd61-48e4-a49e-022e34884ccb\"\n",
       "  \"NAME\"            => \"DESKTOP-A1AUCQ6\"\n",
       "  \"PWD\"             => \"/home/kkganko/6.337/18.337-Project-SP2023\"\n",
       "  \"LOGNAME\"         => \"kkganko\"\n",
       "  \"MOTD_SHOWN\"      => \"update-motd\"\n",
       "  \"HOME\"            => \"/home/kkganko\"\n",
       "  \"LANG\"            => \"C.UTF-8\"\n",
       "  \"WSL_INTEROP\"     => \"/run/WSL/8_interop\"\n",
       "  \"LS_COLORS\"       => \"rs=0:di=01;34:ln=01;36:mh=00:pi=40;33:so=01;35:do=01;35…\n",
       "  \"LESSCLOSE\"       => \"/usr/bin/lesspipe %s %s\"\n",
       "  \"TERM\"            => \"xterm-256color\"\n",
       "  \"LESSOPEN\"        => \"| /usr/bin/lesspipe %s\"\n",
       "  \"USER\"            => \"kkganko\"\n",
       "  \"SHLVL\"           => \"1\"\n",
       "  \"DOCKER_ARCH\"     => \"amd64\"\n",
       "  \"WSLENV\"          => \"WT_SESSION::WT_PROFILE_ID\"\n",
       "  \"XDG_DATA_DIRS\"   => \"/usr/local/share:/usr/share:/var/lib/snapd/desktop\"\n",
       "  \"BROWSER\"         => \"/mnt/c/Program Files (x86)/Microsoft/Edge/Application/m…\n",
       "  \"PATH\"            => \"/usr/local/sbin:/usr/local/bin:/usr/sbin:/usr/bin:/sbin…\n",
       "  \"HOSTTYPE\"        => \"x86_64\"\n",
       "  \"WT_PROFILE_ID\"   => \"{61c54bbd-c2c6-5271-96e7-009a87ff44bf}\"\n",
       "  \"OLDPWD\"          => \"/home/kkganko/6.337\"\n",
       "  \"_\"               => \"/home/kkganko/.julia/conda/3/bin/jupyter\"\n",
       "  ⋮                 => ⋮"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Print out environment vars passed to jupyter notebook\n",
    "ENV"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "9a3d4209",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\"/home/kkganko/6.337/18.337-Project-SP2023\""
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# figure out where you are\n",
    "pwd()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0862e81a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "12-element Vector{String}:\n",
       " \".git\"\n",
       " \".gitignore\"\n",
       " \".ipynb_checkpoints\"\n",
       " \"LICENSE\"\n",
       " \"Manifest.toml\"\n",
       " \"Min working example.ipynb\"\n",
       " \"Project.toml\"\n",
       " \"README.md\"\n",
       " \"Stochastic Diffeqs\"\n",
       " \"generate-project-toml.ipynb\"\n",
       " \"test_lux-componentarrays.ipynb\"\n",
       " \"test_python.ipynb\""
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# get contents of working directory\n",
    "readdir()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1b8dd979",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m  Activating\u001b[22m\u001b[39m project at `~/6.337/18.337-Project-SP2023`\n"
     ]
    }
   ],
   "source": [
    "# info on Pkg, https://pkgdocs.julialang.org/v1/getting-started/\n",
    "import Pkg\n",
    "Pkg.activate(\".\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "da144f7d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m      Status\u001b[22m\u001b[39m `~/6.337/18.337-Project-SP2023/Project.toml`\n",
      " \u001b[90m [6e4b80f9] \u001b[39mBenchmarkTools v1.3.2\n",
      " \u001b[90m [b0b7db55] \u001b[39mComponentArrays v0.13.7\n",
      " \u001b[90m [8f4d0f93] \u001b[39mConda v1.8.0\n",
      " \u001b[90m [aae7a2af] \u001b[39mDiffEqFlux v1.53.0\n",
      " \u001b[90m [0c46a032] \u001b[39mDifferentialEquations v7.6.0\n",
      " \u001b[90m [31c24e10] \u001b[39mDistributions v0.25.81\n",
      " \u001b[90m [587475ba] \u001b[39mFlux v0.13.14\n",
      " \u001b[90m [f6369f11] \u001b[39mForwardDiff v0.10.34\n",
      " \u001b[90m [bd48cda9] \u001b[39mGraphRecipes v0.5.12\n",
      " \u001b[90m [86223c79] \u001b[39mGraphs v1.7.4\n",
      " \u001b[90m [7073ff75] \u001b[39mIJulia v1.24.0\n",
      " \u001b[90m [4138dd39] \u001b[39mJLD v0.13.3\n",
      " \u001b[90m [b964fa9f] \u001b[39mLaTeXStrings v1.3.0\n",
      " \u001b[90m [b2108857] \u001b[39mLux v0.4.44\n",
      " \u001b[90m [429524aa] \u001b[39mOptim v1.7.4\n",
      " \u001b[90m [7f7a1694] \u001b[39mOptimization v3.12.1\n",
      " \u001b[90m [253f991c] \u001b[39mOptimizationFlux v0.1.2\n",
      " \u001b[90m [91a5bcdd] \u001b[39mPlots v1.38.8\n",
      " \u001b[90m [438e738f] \u001b[39mPyCall v1.95.1\n",
      " \u001b[90m [d330b81b] \u001b[39mPyPlot v2.11.1\n",
      " \u001b[90m [1ed8b502] \u001b[39mSciMLSensitivity v7.13.0\n",
      " \u001b[90m [e88e6eb3] \u001b[39mZygote v0.6.55\n"
     ]
    }
   ],
   "source": [
    "Pkg.status()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ea74273a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "12-element Vector{String}:\n",
       " \".git\"\n",
       " \".gitignore\"\n",
       " \".ipynb_checkpoints\"\n",
       " \"LICENSE\"\n",
       " \"Manifest.toml\"\n",
       " \"Min working example.ipynb\"\n",
       " \"Project.toml\"\n",
       " \"README.md\"\n",
       " \"Stochastic Diffeqs\"\n",
       " \"generate-project-toml.ipynb\"\n",
       " \"test_lux-componentarrays.ipynb\"\n",
       " \"test_python.ipynb\""
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# get contents of working directory\n",
    "dir_contents = readdir()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d1ae25d1",
   "metadata": {},
   "outputs": [],
   "source": [
    "# If Project.toml and Manifest.toml exist, remove them to start a completely fresh installation of packages and dependencies.\n",
    "# This is equivalent to uninstalling all packages in the current environment. \n",
    "# Why? B/c if you don't start from a clean plate, and you have previous package dependency installation that were unspecified \n",
    "# below in their version number, then dependencies may conflict.\n",
    "if \"Manifest.toml\" in dir_contents\n",
    "    rm(\"Manifest.toml\")\n",
    "end\n",
    "if \"Project.toml\" in dir_contents\n",
    "    rm(\"Project.toml\")\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "56e0b13b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "10-element Vector{String}:\n",
       " \".git\"\n",
       " \".gitignore\"\n",
       " \".ipynb_checkpoints\"\n",
       " \"LICENSE\"\n",
       " \"Manifest.toml\"\n",
       " \"Project.toml\"\n",
       " \"README.md\"\n",
       " \"Stochastic Diffeqs\"\n",
       " \"generate-project-toml.ipynb\"\n",
       " \"test_python.ipynb\""
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "readdir()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a402e0f9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m      Status\u001b[22m\u001b[39m `~/6.337/18.337-Project-SP2023/Project.toml`\n",
      " \u001b[90m [6e4b80f9] \u001b[39mBenchmarkTools v1.3.2\n",
      " \u001b[90m [8f4d0f93] \u001b[39mConda v1.8.0\n",
      " \u001b[90m [aae7a2af] \u001b[39mDiffEqFlux v1.53.0\n",
      " \u001b[90m [0c46a032] \u001b[39mDifferentialEquations v7.6.0\n",
      " \u001b[90m [31c24e10] \u001b[39mDistributions v0.25.81\n",
      " \u001b[90m [587475ba] \u001b[39mFlux v0.13.14\n",
      " \u001b[90m [f6369f11] \u001b[39mForwardDiff v0.10.34\n",
      " \u001b[90m [7073ff75] \u001b[39mIJulia v1.24.0\n",
      " \u001b[90m [4138dd39] \u001b[39mJLD v0.13.3\n",
      " \u001b[90m [b964fa9f] \u001b[39mLaTeXStrings v1.3.0\n",
      " \u001b[90m [b2108857] \u001b[39mLux v0.4.44\n",
      " \u001b[90m [429524aa] \u001b[39mOptim v1.7.4\n",
      " \u001b[90m [7f7a1694] \u001b[39mOptimization v3.12.1\n",
      " \u001b[90m [253f991c] \u001b[39mOptimizationFlux v0.1.2\n",
      " \u001b[90m [91a5bcdd] \u001b[39mPlots v1.38.8\n",
      " \u001b[90m [438e738f] \u001b[39mPyCall v1.95.1\n",
      " \u001b[90m [d330b81b] \u001b[39mPyPlot v2.11.1\n",
      " \u001b[90m [1ed8b502] \u001b[39mSciMLSensitivity v7.13.0\n",
      " \u001b[90m [e88e6eb3] \u001b[39mZygote v0.6.55\n"
     ]
    }
   ],
   "source": [
    "# activate new environment, check status, make sure it is empty after running deletion of Manifest.toml and Project.toml\n",
    "Pkg.status()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a53e159c",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m    Updating\u001b[22m\u001b[39m registry at `~/.julia/registries/General.toml`\n",
      "\u001b[32m\u001b[1m   Resolving\u001b[22m\u001b[39m package versions...\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Enzyme_jll ──────────────── v0.0.53+0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m GR_jll ──────────────────── v0.72.4+0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m cuDNN ───────────────────── v1.0.3\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m HypergeometricFunctions ─── v0.3.16\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Accessors ───────────────── v0.1.30\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m MutableArithmetics ──────── v1.3.0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Preferences ─────────────── v1.4.0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m NNlib ───────────────────── v0.8.20\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m TimerOutputs ────────────── v0.5.23\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m ConcurrentUtilities ─────── v2.2.0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Optimisers ──────────────── v0.2.18\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m StaticArrays ────────────── v1.5.25\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m LuxLib ──────────────────── v0.2.1\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m PlotUtils ───────────────── v1.3.5\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m RecipesPipeline ─────────── v0.6.12\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m SciMLSensitivity ────────── v7.31.0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m OpenSSL ─────────────────── v1.4.1\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m FileIO ──────────────────── v1.16.1\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m CUDA_Runtime_jll ────────── v0.6.0+0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Static ──────────────────── v0.8.7\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m HTTP ────────────────────── v1.9.4\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m MLUtils ─────────────────── v0.4.2\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m SteadyStateDiffEq ───────── v1.15.0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m FiniteDiff ──────────────── v2.20.0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m IRTools ─────────────────── v0.4.10\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m LLVM ────────────────────── v5.1.0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m SciMLBase ───────────────── v1.91.7\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m DiffEqBase ──────────────── v6.124.0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m JSON ────────────────────── v0.21.4\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m LinearSolve ─────────────── v1.42.0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m CUDA_Driver_jll ─────────── v0.5.0+1\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m SciMLNLSolve ────────────── v0.1.6\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m ComponentArrays ─────────── v0.13.12\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Symbolics ───────────────── v5.3.1\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m LuxCUDA ─────────────────── v0.1.2\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Enzyme ──────────────────── v0.11.0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m ColorSchemes ────────────── v3.21.0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Zygote ──────────────────── v0.6.61\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m CUDA_Runtime_Discovery ──── v0.2.2\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m OrdinaryDiffEq ──────────── v6.51.1\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m TranscodingStreams ──────── v0.9.13\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m UnsafeAtomicsLLVM ───────── v0.1.2\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Random123 ───────────────── v1.6.1\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m JumpProcesses ───────────── v9.6.3\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Lux ─────────────────────── v0.4.53\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m OptimizationOptimJL ─────── v0.1.8\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m BangBang ────────────────── v0.3.38\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m ChainRules ──────────────── v1.49.0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Tracker ─────────────────── v0.2.25\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m StaticArrayInterface ────── v1.4.0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m DistributionsAD ─────────── v0.6.45\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m OptimizationFlux ────────── v0.1.4\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Sundials ────────────────── v4.17.0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m GR ──────────────────────── v0.72.4\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Plots ───────────────────── v1.38.11\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Zstd_jll ────────────────── v1.5.5+0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Flux ────────────────────── v0.13.16\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Parsers ─────────────────── v2.5.9\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m ConstructionBase ────────── v1.5.2\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m SciMLOperators ──────────── v0.2.7\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m EnzymeCore ──────────────── v0.3.0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m LLVMExtra_jll ───────────── v0.0.21+0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m LoopVectorization ───────── v0.12.159\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m TerminalLoggers ─────────── v0.1.7\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m ArrayInterface ──────────── v7.4.4\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m ChainRulesCore ──────────── v1.16.0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m CompositionsBase ────────── v0.1.2\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m KernelAbstractions ──────── v0.9.4\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m InverseFunctions ────────── v0.1.9\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Adapt ───────────────────── v3.6.2\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Krylov ──────────────────── v0.9.1\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m StrideArraysCore ────────── v0.4.14\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Transducers ─────────────── v0.4.76\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Latexify ────────────────── v0.16.0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m RuntimeGeneratedFunctions ─ v0.5.7\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m GPUCompiler ─────────────── v0.19.3\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m DataAPI ─────────────────── v1.15.0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m RecipesBase ─────────────── v1.3.4\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m ReverseDiff ─────────────── v1.14.6\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m PrecompileTools ─────────── v1.1.1\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m SymbolicUtils ───────────── v1.0.5\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Optim ───────────────────── v1.7.5\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Optimization ────────────── v3.14.1\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m ChangesOfVariables ──────── v0.1.7\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m AbstractAlgebra ─────────── v0.29.4\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m CUDA ────────────────────── v4.2.0\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Distributions ───────────── v0.25.91\n",
      "\u001b[32m\u001b[1m   Installed\u001b[22m\u001b[39m Groebner ────────────────── v0.3.4\n",
      "\u001b[32m\u001b[1m    Updating\u001b[22m\u001b[39m `~/6.337/18.337-Project-SP2023/Project.toml`\n",
      " \u001b[90m [b0b7db55] \u001b[39m\u001b[93m↑ ComponentArrays v0.13.7 ⇒ v0.13.12\u001b[39m\n",
      " \u001b[90m [aae7a2af] \u001b[39m\u001b[93m↑ DiffEqFlux v1.53.0 ⇒ v1.54.0\u001b[39m\n",
      " \u001b[90m [0c46a032] \u001b[39m\u001b[93m↑ DifferentialEquations v7.6.0 ⇒ v7.7.0\u001b[39m\n",
      " \u001b[90m [31c24e10] \u001b[39m\u001b[93m↑ Distributions v0.25.81 ⇒ v0.25.91\u001b[39m\n",
      " \u001b[90m [587475ba] \u001b[39m\u001b[93m↑ Flux v0.13.14 ⇒ v0.13.16\u001b[39m\n",
      " \u001b[90m [f6369f11] \u001b[39m\u001b[93m↑ ForwardDiff v0.10.34 ⇒ v0.10.35\u001b[39m\n",
      " \u001b[90m [86223c79] \u001b[39m\u001b[93m↑ Graphs v1.7.4 ⇒ v1.8.0\u001b[39m\n",
      " \u001b[90m [b2108857] \u001b[39m\u001b[93m↑ Lux v0.4.44 ⇒ v0.4.53\u001b[39m\n",
      " \u001b[90m [429524aa] \u001b[39m\u001b[93m↑ Optim v1.7.4 ⇒ v1.7.5\u001b[39m\n",
      " \u001b[90m [7f7a1694] \u001b[39m\u001b[93m↑ Optimization v3.12.1 ⇒ v3.14.1\u001b[39m\n",
      " \u001b[90m [253f991c] \u001b[39m\u001b[93m↑ OptimizationFlux v0.1.2 ⇒ v0.1.4\u001b[39m\n",
      " \u001b[90m [91a5bcdd] \u001b[39m\u001b[93m↑ Plots v1.38.8 ⇒ v1.38.11\u001b[39m\n",
      " \u001b[90m [731186ca] \u001b[39m\u001b[92m+ RecursiveArrayTools v2.38.3\u001b[39m\n",
      " \u001b[90m [1ed8b502] \u001b[39m\u001b[93m↑ SciMLSensitivity v7.13.0 ⇒ v7.31.0\u001b[39m\n",
      " \u001b[90m [e88e6eb3] \u001b[39m\u001b[93m↑ Zygote v0.6.55 ⇒ v0.6.61\u001b[39m\n",
      "\u001b[32m\u001b[1m    Updating\u001b[22m\u001b[39m `~/6.337/18.337-Project-SP2023/Manifest.toml`\n",
      " \u001b[90m [c3fe647b] \u001b[39m\u001b[93m↑ AbstractAlgebra v0.29.2 ⇒ v0.29.4\u001b[39m\n",
      " \u001b[90m [7d9f7c33] \u001b[39m\u001b[93m↑ Accessors v0.1.28 ⇒ v0.1.30\u001b[39m\n",
      " \u001b[90m [79e6a3ab] \u001b[39m\u001b[93m↑ Adapt v3.6.1 ⇒ v3.6.2\u001b[39m\n",
      " \u001b[90m [4fba245c] \u001b[39m\u001b[93m↑ ArrayInterface v6.0.25 ⇒ v7.4.4\u001b[39m\n",
      " \u001b[90m [6ba088a2] \u001b[39m\u001b[91m- ArrayInterfaceGPUArrays v0.2.2\u001b[39m\n",
      " \u001b[90m [015c0d05] \u001b[39m\u001b[91m- ArrayInterfaceOffsetArrays v0.1.7\u001b[39m\n",
      " \u001b[90m [b0d46f97] \u001b[39m\u001b[91m- ArrayInterfaceStaticArrays v0.1.5\u001b[39m\n",
      " \u001b[90m [dd5226c6] \u001b[39m\u001b[91m- ArrayInterfaceStaticArraysCore v0.1.4\u001b[39m\n",
      " \u001b[90m [a2b0951a] \u001b[39m\u001b[91m- ArrayInterfaceTracker v0.1.1\u001b[39m\n",
      " \u001b[90m [198e06fe] \u001b[39m\u001b[93m↑ BangBang v0.3.37 ⇒ v0.3.38\u001b[39m\n",
      " \u001b[90m [052768ef] \u001b[39m\u001b[93m↑ CUDA v4.0.1 ⇒ v4.2.0\u001b[39m\n",
      " \u001b[90m [72cfdca4] \u001b[39m\u001b[91m- CUDAKernels v0.4.7\u001b[39m\n",
      " \u001b[90m [1af6417a] \u001b[39m\u001b[93m↑ CUDA_Runtime_Discovery v0.1.2 ⇒ v0.2.2\u001b[39m\n",
      " \u001b[90m [082447d4] \u001b[39m\u001b[93m↑ ChainRules v1.48.0 ⇒ v1.49.0\u001b[39m\n",
      " \u001b[90m [d360d2e6] \u001b[39m\u001b[93m↑ ChainRulesCore v1.15.7 ⇒ v1.16.0\u001b[39m\n",
      " \u001b[90m [9e997f8a] \u001b[39m\u001b[93m↑ ChangesOfVariables v0.1.6 ⇒ v0.1.7\u001b[39m\n",
      " \u001b[90m [fb6a15b2] \u001b[39m\u001b[93m↑ CloseOpenIntervals v0.1.11 ⇒ v0.1.12\u001b[39m\n",
      " \u001b[90m [35d6a980] \u001b[39m\u001b[93m↑ ColorSchemes v3.20.0 ⇒ v3.21.0\u001b[39m\n",
      " \u001b[90m [b0b7db55] \u001b[39m\u001b[93m↑ ComponentArrays v0.13.7 ⇒ v0.13.12\u001b[39m\n",
      " \u001b[90m [a33af91c] \u001b[39m\u001b[93m↑ CompositionsBase v0.1.1 ⇒ v0.1.2\u001b[39m\n",
      " \u001b[90m [f0e56b4a] \u001b[39m\u001b[92m+ ConcurrentUtilities v2.2.0\u001b[39m\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " \u001b[90m [187b0558] \u001b[39m\u001b[93m↑ ConstructionBase v1.5.1 ⇒ v1.5.2\u001b[39m\n",
      " \u001b[90m [9a962f9c] \u001b[39m\u001b[93m↑ DataAPI v1.14.0 ⇒ v1.15.0\u001b[39m\n",
      " \u001b[90m [bcd4f6db] \u001b[39m\u001b[93m↑ DelayDiffEq v5.41.1 ⇒ v5.42.0\u001b[39m\n",
      " \u001b[90m [2b5f629d] \u001b[39m\u001b[93m↑ DiffEqBase v6.119.0 ⇒ v6.124.0\u001b[39m\n",
      " \u001b[90m [aae7a2af] \u001b[39m\u001b[93m↑ DiffEqFlux v1.53.0 ⇒ v1.54.0\u001b[39m\n",
      " \u001b[90m [0c46a032] \u001b[39m\u001b[93m↑ DifferentialEquations v7.6.0 ⇒ v7.7.0\u001b[39m\n",
      " \u001b[90m [31c24e10] \u001b[39m\u001b[93m↑ Distributions v0.25.81 ⇒ v0.25.91\u001b[39m\n",
      " \u001b[90m [ced4e74d] \u001b[39m\u001b[93m↑ DistributionsAD v0.6.43 ⇒ v0.6.45\u001b[39m\n",
      " \u001b[90m [da5c29d0] \u001b[39m\u001b[93m↑ EllipsisNotation v1.6.0 ⇒ v1.7.0\u001b[39m\n",
      " \u001b[90m [7da242da] \u001b[39m\u001b[93m↑ Enzyme v0.10.18 ⇒ v0.11.0\u001b[39m\n",
      " \u001b[90m [f151be2c] \u001b[39m\u001b[93m↑ EnzymeCore v0.1.0 ⇒ v0.3.0\u001b[39m\n",
      " \u001b[90m [d4d017d3] \u001b[39m\u001b[93m↑ ExponentialUtilities v1.23.0 ⇒ v1.24.0\u001b[39m\n",
      " \u001b[90m [7034ab61] \u001b[39m\u001b[93m↑ FastBroadcast v0.2.4 ⇒ v0.2.5\u001b[39m\n",
      " \u001b[90m [5789e2e9] \u001b[39m\u001b[93m↑ FileIO v1.16.0 ⇒ v1.16.1\u001b[39m\n",
      " \u001b[90m [6a86dc24] \u001b[39m\u001b[93m↑ FiniteDiff v2.17.0 ⇒ v2.20.0\u001b[39m\n",
      " \u001b[90m [587475ba] \u001b[39m\u001b[93m↑ Flux v0.13.14 ⇒ v0.13.16\u001b[39m\n",
      " \u001b[90m [f6369f11] \u001b[39m\u001b[93m↑ ForwardDiff v0.10.34 ⇒ v0.10.35\u001b[39m\n",
      " \u001b[90m [61eb1bfa] \u001b[39m\u001b[93m↑ GPUCompiler v0.17.3 ⇒ v0.19.3\u001b[39m\n",
      " \u001b[90m [28b8d3ca] \u001b[39m\u001b[93m↑ GR v0.71.8 ⇒ v0.72.4\u001b[39m\n",
      " \u001b[90m [86223c79] \u001b[39m\u001b[93m↑ Graphs v1.7.4 ⇒ v1.8.0\u001b[39m\n",
      " \u001b[90m [0b43b601] \u001b[39m\u001b[93m↑ Groebner v0.3.2 ⇒ v0.3.4\u001b[39m\n",
      " \u001b[90m [cd3eb016] \u001b[39m\u001b[93m↑ HTTP v1.7.4 ⇒ v1.9.4\u001b[39m\n",
      " \u001b[90m [34004b35] \u001b[39m\u001b[93m↑ HypergeometricFunctions v0.3.14 ⇒ v0.3.16\u001b[39m\n",
      " \u001b[90m [7869d1d1] \u001b[39m\u001b[93m↑ IRTools v0.4.9 ⇒ v0.4.10\u001b[39m\n",
      " \u001b[90m [83e8ac13] \u001b[39m\u001b[91m- IniFile v0.5.1\u001b[39m\n",
      " \u001b[90m [3587e190] \u001b[39m\u001b[93m↑ InverseFunctions v0.1.8 ⇒ v0.1.9\u001b[39m\n",
      " \u001b[90m [682c06a0] \u001b[39m\u001b[93m↑ JSON v0.21.3 ⇒ v0.21.4\u001b[39m\n",
      " \u001b[90m [ccbc3e58] \u001b[39m\u001b[93m↑ JumpProcesses v9.5.1 ⇒ v9.6.3\u001b[39m\n",
      " \u001b[90m [63c18a36] \u001b[39m\u001b[93m↑ KernelAbstractions v0.8.6 ⇒ v0.9.4\u001b[39m\n",
      " \u001b[90m [ba0b0d4f] \u001b[39m\u001b[93m↑ Krylov v0.9.0 ⇒ v0.9.1\u001b[39m\n",
      " \u001b[90m [929cbde3] \u001b[39m\u001b[93m↑ LLVM v4.17.1 ⇒ v5.1.0\u001b[39m\n",
      " \u001b[90m [2ee39098] \u001b[39m\u001b[93m↑ LabelledArrays v1.13.0 ⇒ v1.14.0\u001b[39m\n",
      " \u001b[90m [23fbe1c1] \u001b[39m\u001b[93m↑ Latexify v0.15.18 ⇒ v0.16.0\u001b[39m\n",
      " \u001b[90m [10f19ff3] \u001b[39m\u001b[93m↑ LayoutPointers v0.1.13 ⇒ v0.1.14\u001b[39m\n",
      " \u001b[90m [7ed4a6bd] \u001b[39m\u001b[93m↑ LinearSolve v1.37.0 ⇒ v1.42.0\u001b[39m\n",
      " \u001b[90m [bdcacae8] \u001b[39m\u001b[93m↑ LoopVectorization v0.12.150 ⇒ v0.12.159\u001b[39m\n",
      " \u001b[90m [b2108857] \u001b[39m\u001b[93m↑ Lux v0.4.44 ⇒ v0.4.53\u001b[39m\n",
      " \u001b[90m [d0bbae9a] \u001b[39m\u001b[92m+ LuxCUDA v0.1.2\u001b[39m\n",
      " \u001b[90m [82251201] \u001b[39m\u001b[93m↑ LuxLib v0.1.12 ⇒ v0.2.1\u001b[39m\n",
      " \u001b[90m [f1d291b0] \u001b[39m\u001b[93m↑ MLUtils v0.4.1 ⇒ v0.4.2\u001b[39m\n",
      " \u001b[90m [d8a4904e] \u001b[39m\u001b[93m↑ MutableArithmetics v1.2.3 ⇒ v1.3.0\u001b[39m\n",
      " \u001b[90m [872c559c] \u001b[39m\u001b[93m↑ NNlib v0.8.19 ⇒ v0.8.20\u001b[39m\n",
      " \u001b[90m [4d8831e6] \u001b[39m\u001b[93m↑ OpenSSL v1.3.3 ⇒ v1.4.1\u001b[39m\n",
      " \u001b[90m [429524aa] \u001b[39m\u001b[93m↑ Optim v1.7.4 ⇒ v1.7.5\u001b[39m\n",
      " \u001b[90m [3bd65402] \u001b[39m\u001b[93m↑ Optimisers v0.2.17 ⇒ v0.2.18\u001b[39m\n",
      " \u001b[90m [7f7a1694] \u001b[39m\u001b[93m↑ Optimization v3.12.1 ⇒ v3.14.1\u001b[39m\n",
      " \u001b[90m [253f991c] \u001b[39m\u001b[93m↑ OptimizationFlux v0.1.2 ⇒ v0.1.4\u001b[39m\n",
      " \u001b[90m [36348300] \u001b[39m\u001b[93m↑ OptimizationOptimJL v0.1.5 ⇒ v0.1.8\u001b[39m\n",
      " \u001b[90m [1dea7af3] \u001b[39m\u001b[93m↑ OrdinaryDiffEq v6.44.1 ⇒ v6.51.1\u001b[39m\n",
      " \u001b[90m [69de0a69] \u001b[39m\u001b[93m↑ Parsers v2.5.8 ⇒ v2.5.9\u001b[39m\n",
      " \u001b[90m [995b91a9] \u001b[39m\u001b[93m↑ PlotUtils v1.3.4 ⇒ v1.3.5\u001b[39m\n",
      " \u001b[90m [91a5bcdd] \u001b[39m\u001b[93m↑ Plots v1.38.8 ⇒ v1.38.11\u001b[39m\n",
      " \u001b[90m [f517fe37] \u001b[39m\u001b[93m↑ Polyester v0.7.2 ⇒ v0.7.3\u001b[39m\n",
      " \u001b[90m [d236fae5] \u001b[39m\u001b[93m↑ PreallocationTools v0.4.11 ⇒ v0.4.12\u001b[39m\n",
      " \u001b[90m [aea7be01] \u001b[39m\u001b[92m+ PrecompileTools v1.1.1\u001b[39m\n",
      " \u001b[90m [21216c6a] \u001b[39m\u001b[93m↑ Preferences v1.3.0 ⇒ v1.4.0\u001b[39m\n",
      " \u001b[90m [74087812] \u001b[39m\u001b[93m↑ Random123 v1.6.0 ⇒ v1.6.1\u001b[39m\n",
      " \u001b[90m [3cdcf5f2] \u001b[39m\u001b[93m↑ RecipesBase v1.3.3 ⇒ v1.3.4\u001b[39m\n",
      " \u001b[90m [01d81517] \u001b[39m\u001b[93m↑ RecipesPipeline v0.6.11 ⇒ v0.6.12\u001b[39m\n",
      " \u001b[90m [731186ca] \u001b[39m\u001b[93m↑ RecursiveArrayTools v2.37.0 ⇒ v2.38.3\u001b[39m\n",
      " \u001b[90m [37e2e3b7] \u001b[39m\u001b[93m↑ ReverseDiff v1.14.4 ⇒ v1.14.6\u001b[39m\n",
      " \u001b[90m [7e49a35a] \u001b[39m\u001b[93m↑ RuntimeGeneratedFunctions v0.5.6 ⇒ v0.5.7\u001b[39m\n",
      " \u001b[90m [0bca4576] \u001b[39m\u001b[93m↑ SciMLBase v1.91.6 ⇒ v1.91.7\u001b[39m\n",
      " \u001b[90m [e9a6253c] \u001b[39m\u001b[93m↑ SciMLNLSolve v0.1.4 ⇒ v0.1.6\u001b[39m\n",
      " \u001b[90m [c0aeaf25] \u001b[39m\u001b[93m↑ SciMLOperators v0.1.21 ⇒ v0.2.7\u001b[39m\n",
      " \u001b[90m [1ed8b502] \u001b[39m\u001b[93m↑ SciMLSensitivity v7.13.0 ⇒ v7.31.0\u001b[39m\n",
      " \u001b[90m [47a9eef4] \u001b[39m\u001b[93m↑ SparseDiffTools v1.30.0 ⇒ v1.31.0\u001b[39m\n",
      " \u001b[90m [aedffcd0] \u001b[39m\u001b[93m↑ Static v0.8.6 ⇒ v0.8.7\u001b[39m\n",
      " \u001b[90m [0d7ed370] \u001b[39m\u001b[92m+ StaticArrayInterface v1.4.0\u001b[39m\n",
      " \u001b[90m [90137ffa] \u001b[39m\u001b[93m↑ StaticArrays v1.5.19 ⇒ v1.5.25\u001b[39m\n",
      " \u001b[90m [9672c7b4] \u001b[39m\u001b[93m↑ SteadyStateDiffEq v1.13.0 ⇒ v1.15.0\u001b[39m\n",
      " \u001b[90m [789caeaf] \u001b[39m\u001b[93m↑ StochasticDiffEq v6.58.0 ⇒ v6.60.0\u001b[39m\n",
      " \u001b[90m [7792a7ef] \u001b[39m\u001b[93m↑ StrideArraysCore v0.4.7 ⇒ v0.4.14\u001b[39m\n",
      " \u001b[90m [c3572dad] \u001b[39m\u001b[93m↑ Sundials v4.15.1 ⇒ v4.17.0\u001b[39m\n",
      " \u001b[90m [d1185830] \u001b[39m\u001b[93m↑ SymbolicUtils v1.0.4 ⇒ v1.0.5\u001b[39m\n",
      " \u001b[90m [0c5d862f] \u001b[39m\u001b[93m↑ Symbolics v5.2.0 ⇒ v5.3.1\u001b[39m\n",
      " \u001b[90m [5d786b92] \u001b[39m\u001b[93m↑ TerminalLoggers v0.1.6 ⇒ v0.1.7\u001b[39m\n",
      " \u001b[90m [a759f4b9] \u001b[39m\u001b[93m↑ TimerOutputs v0.5.22 ⇒ v0.5.23\u001b[39m\n",
      " \u001b[90m [9f7883ad] \u001b[39m\u001b[93m↑ Tracker v0.2.20 ⇒ v0.2.25\u001b[39m\n",
      " \u001b[90m [3bb67fe8] \u001b[39m\u001b[93m↑ TranscodingStreams v0.9.11 ⇒ v0.9.13\u001b[39m\n",
      " \u001b[90m [28d57a85] \u001b[39m\u001b[93m↑ Transducers v0.4.75 ⇒ v0.4.76\u001b[39m\n",
      " \u001b[90m [d80eeb9a] \u001b[39m\u001b[93m↑ UnsafeAtomicsLLVM v0.1.1 ⇒ v0.1.2\u001b[39m\n",
      " \u001b[90m [3d5dd08c] \u001b[39m\u001b[93m↑ VectorizationBase v0.21.58 ⇒ v0.21.64\u001b[39m\n",
      " \u001b[90m [e88e6eb3] \u001b[39m\u001b[93m↑ Zygote v0.6.55 ⇒ v0.6.61\u001b[39m\n",
      " \u001b[90m [02a925ec] \u001b[39m\u001b[93m↑ cuDNN v1.0.2 ⇒ v1.0.3\u001b[39m\n",
      " \u001b[90m [4ee394cb] \u001b[39m\u001b[93m↑ CUDA_Driver_jll v0.2.0+0 ⇒ v0.5.0+1\u001b[39m\n",
      " \u001b[90m [76a88914] \u001b[39m\u001b[93m↑ CUDA_Runtime_jll v0.2.4+1 ⇒ v0.6.0+0\u001b[39m\n",
      " \u001b[90m [7cc45869] \u001b[39m\u001b[93m↑ Enzyme_jll v0.0.48+1 ⇒ v0.0.53+0\u001b[39m\n",
      " \u001b[90m [d2c73de3] \u001b[39m\u001b[93m↑ GR_jll v0.71.8+0 ⇒ v0.72.4+0\u001b[39m\n",
      " \u001b[90m [dad2f222] \u001b[39m\u001b[93m↑ LLVMExtra_jll v0.0.18+0 ⇒ v0.0.21+0\u001b[39m\n",
      " \u001b[90m [3161d3a3] \u001b[39m\u001b[93m↑ Zstd_jll v1.5.4+0 ⇒ v1.5.5+0\u001b[39m\n",
      "\u001b[32m\u001b[1mPrecompiling\u001b[22m\u001b[39m project...\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mCompositionsBase\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mInverseFunctions\u001b[39m\n",
      "\u001b[33m  ✓ \u001b[39m\u001b[90mPreferences\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mChangesOfVariables\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mConcurrentUtilities\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mRuntimeGeneratedFunctions\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mConstructionBase\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mCUDA_Runtime_Discovery\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mChainRulesCore\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mTranscodingStreams\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mAdapt\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mDataAPI\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mTerminalLoggers\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mStatic\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mTimerOutputs\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mDensityInterface\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mIRTools\u001b[39m\n",
      "\u001b[33m  ✓ \u001b[39m\u001b[90mSnoopPrecompile\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mRandom123\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mTruncatedStacktraces\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mFileIO\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mPrecompileTools\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLatexify\u001b[39m\n",
      "\u001b[33m  ✓ \u001b[39m\u001b[90mJLLWrappers\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mUnityper\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mKrylov\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mAbstractFFTs\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mCodecZlib\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mMutableArithmetics\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mZygoteRules\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mGPUArraysCore\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mEnzymeCore\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mSetfield\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mOptimisers\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mOffsetArrays\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mArrayInterface\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mBitTwiddlingConvenienceFunctions\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mMissings\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLogExpFunctions\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mTables\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mCPUSummary\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mArrayInterfaceCore\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mOpenSSL_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mGraphite2_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mCUDA_Driver_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mRecipesBase\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLibmount_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mBzip2_jll\u001b[39m\n",
      "\u001b[33m  ✓ \u001b[39m\u001b[90mlibsodium_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLz4_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mRmath_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_libXau_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mlibpng_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mlibfdk_aac_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mPixman_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLAME_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mStaticArrays\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mfzf_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLERC_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mEarCut_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mJpegTurbo_jll\u001b[39m\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[32m  ✓ \u001b[39m\u001b[90mOgg_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_libXdmcp_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mx265_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mEnzyme_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mx264_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mAbstractAlgebra\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mlibaom_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mExpat_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mZstd_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLZO_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLLVMExtra_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_xtrans_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mOpus_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mSundials_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mWayland_protocols_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLibiconv_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLibffi_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLibgpg_error_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_libpthread_stubs_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mOpenSpecFun_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLibuuid_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mFriBidi_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLuxCore\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mSplittablesBase\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mStaticArrayInterface\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mSparspak\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mKrylovKit\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mHostCPUFeatures\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mBangBang\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mMultivariatePolynomials\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mSciMLOperators\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mPolyesterWeave\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mStructArrays\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mHDF5_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mOpenSSL\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39mRecursiveArrayTools\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mStatsBase\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mFreeType2_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mIterativeSolvers\u001b[39m\n",
      "\u001b[33m  ✓ \u001b[39m\u001b[90mZeroMQ_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mRmath\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mResettableStacks\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mFiniteDiff\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mArnoldiMethod\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mJLFzf\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mGeometryTypes\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mAccessors\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mlibvorbis_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mCUDA_Runtime_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mBlosc_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mInterpolations\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLibtiff_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mDomainSets\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mEllipsisNotation\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mCloseOpenIntervals\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXML2_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLibgcrypt_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLayoutPointers\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mMicroCollections\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mDynamicPolynomials\u001b[39m\n",
      "\u001b[33m  ✓ \u001b[39m\u001b[90mParsers\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLLVM\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mSpecialFunctions\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mHTTP\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mFontconfig_jll\u001b[39m\n",
      "\u001b[33m  ✓ \u001b[39m\u001b[90mZMQ\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mChainRules\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mBlosc\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mCUDNN_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mHDF5\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mGettext_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mWayland_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mGeometryBasics\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXSLT_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mSciMLBase\u001b[39m\n",
      "\u001b[33m  ✓ \u001b[39m\u001b[90mJSON\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mStrideArraysCore\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39mGraphs\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mBandedMatrices\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mGroebner\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mUnsafeAtomicsLLVM\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLevyArea\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mDualNumbers\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mDiffRules\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mGPUArrays\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mTransducers\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mH5Zblosc\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mGlib_jll\u001b[39m\n",
      "\u001b[33m  ✓ \u001b[39mConda\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_libxcb_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39mBenchmarkTools\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mPolyester\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mColorVectorSpace\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mVertexSafeGraphs\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mNetworkLayout\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mHypergeometricFunctions\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mFoldsThreads\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39mJLD\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mGPUCompiler\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mKernelAbstractions\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_xcb_util_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_libX11_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mExponentialUtilities\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39mForwardDiff\n",
      "\u001b[33m  ✓ \u001b[39mIJulia\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mFastBroadcast\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_xcb_util_image_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_xcb_util_keysyms_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mStatsFuns\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_xcb_util_renderutil_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_xcb_util_wm_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_libXrender_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mFLoops\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_libXext_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_libxkbfile_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_libXfixes_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mPreallocationTools\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mColorSchemes\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39mPyCall\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mVectorizationBase\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mSparseDiffTools\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLibglvnd_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_libXinerama_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mNNlib\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mNLSolversBase\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_libXrandr_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mCairo_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_xkbcomp_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_libXcursor_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_libXi_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLabelledArrays\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mSLEEFPirates\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39mPyPlot\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mPlotUtils\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39mDistributions\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mOneHotArrays\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mHarfBuzz_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLuxLib\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mXorg_xkeyboard_config_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mGLFW_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLineSearches\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mTracker\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mRecipesPipeline\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mPlotThemes\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mMLUtils\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mReverseDiff\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mDistributionsAD\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39mGraphRecipes\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mlibass_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mxkbcommon_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39mComponentArrays\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mNLsolve\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mFFMPEG_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mFFMPEG\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mQt5Base_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mGR_jll\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39mOptim\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mDiffEqBase\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mSymbolicUtils\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLeastSquaresOptim\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mGR\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLoopVectorization\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39mZygote\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mJumpProcesses\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mDiffEqCallbacks\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mSciMLNLSolve\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mBoundaryValueDiffEq\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mSimpleNonlinearSolve\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mDiffEqNoiseProcess\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mRegularizationTools\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mSundials\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mSteadyStateDiffEq\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mTriangularSolve\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mEnzyme\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39mOptimization\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mCUDA\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mOptimizationOptimisers\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mOptimizationOptimJL\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mOptimizationPolyalgorithms\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mSymbolics\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mcuDNN\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mDataInterpolations\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mRecursiveFactorization\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mNNlibCUDA\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLuxCUDA\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39mFlux\n",
      "\u001b[32m  ✓ \u001b[39mLux\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mLinearSolve\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39mOptimizationFlux\n",
      "\u001b[32m  ✓ \u001b[39mPlots\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mNonlinearSolve\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mOrdinaryDiffEq\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mDelayDiffEq\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39m\u001b[90mStochasticDiffEq\u001b[39m\n",
      "\u001b[32m  ✓ \u001b[39mDifferentialEquations\n",
      "\u001b[32m  ✓ \u001b[39mSciMLSensitivity\n",
      "\u001b[32m  ✓ \u001b[39mDiffEqFlux\n",
      "  258 dependencies successfully precompiled in 845 seconds (123 already precompiled)\n",
      "  \u001b[33m10\u001b[39m dependencies precompiled but different versions are currently loaded. Restart julia to access the new versions\n"
     ]
    }
   ],
   "source": [
    "# install packages to populate Project.toml, uncomment if not in Pkg.status() above\n",
    "# Pkg.add(name=\"DifferentialEquations\", version=\"7.6.0\") # solving ODEs and SDEs\n",
    "# Pkg.add(name=\"SciMLSensitivity\", version=\"7.13.0\") # sensitivities of state-space systems\n",
    "# Pkg.add(name=\"DiffEqFlux\", version=\"1.53.0\") # more from SciML infrastructure\n",
    "# Pkg.add(name=\"ForwardDiff\", version=\"0.10.34\") # Forward mode automatic differentiation\n",
    "# Pkg.add(name=\"Zygote\", version=\"0.6.55\") # for \"Fitting Data to SDE Practice.ipynb\"\n",
    "# Pkg.add(name=\"Optimization\", version=\"3.12.1\") # for \"Fitting Data to SDE Practice.ipynb\"\n",
    "# Pkg.add(name=\"OptimizationFlux\", version=\"0.1.2\") # for \"Fitting Data to SDE Practice.ipynb\"\n",
    "# Pkg.add(name=\"Flux\", version=\"0.13.14\") # for \"Neural ODE/SDE Practice.ipynb\"\n",
    "# Pkg.add(name=\"Optim\", version=\"1.7.4\") # for \"Neural ODE/SDE Practice.ipynb\"\n",
    "# Pkg.add(name=\"IJulia\", version=\"1.24.0\") # probably already have this if you are running this notebook with a Julia kernel\n",
    "# Pkg.add(name=\"Conda\", version=\"1.8.0\") # for some python integration\n",
    "# Pkg.add(name=\"PyCall\", version=\"1.95.1\") # for some python integration\n",
    "# Pkg.add(name=\"Plots\", version=\"1.38.8\") # plotting fancy-schmancy figures\n",
    "# Pkg.add(name=\"PyPlot\", version=\"2.11.1\") # python plotting backend\n",
    "# Pkg.add(name=\"JLD\", version=\"0.13.3\") # for loading and saving Julia variables using .jld file format\n",
    "# Pkg.add(name=\"LaTeXStrings\", version=\"1.3.0\") # for using latex math fonts in plots, prepend L to strings, ie. L\"5+5\"\n",
    "# Pkg.add(name=\"BenchmarkTools\", version=\"1.3.2\") # for performance tracking, https://github.com/JuliaCI/BenchmarkTools.jl\n",
    "# Pkg.add(name=\"Distributions\", version=\"0.25.81\") # for probability distributions and distributional analysis\n",
    "# Pkg.add(name=\"Lux\", version=\"0.4.44\") # for Lux implementation and using componentarrays, specifically training neural SDEs\n",
    "# Pkg.add(name=\"ComponentArrays\", version=\"0.13.7\") # Lux.ComponentArray() deprecated, Avik Pal suggests using this\n",
    "# Pkg.add(name=\"Graphs\", version=\"1.7.4\") # for specifying edge-node graphs\n",
    "# Pkg.add(name=\"GraphRecipes\", version=\"0.5.12\") # for plotting edge-node graphs with graphplot\n",
    "# Pkg.add(name=\"RecursiveArrayTools\", version=\"2.38.3\") # for running back prop"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "fb0b15b2",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mPrecompiling DifferentialEquations [0c46a032-eb83-5123-abaf-570d42b7fbaa]\n",
      "\u001b[33m\u001b[1m┌ \u001b[22m\u001b[39m\u001b[33m\u001b[1mWarning: \u001b[22m\u001b[39mReplacing docs for `SciMLBase.sol :: Union{Tuple, Tuple{D}, Tuple{S}, Tuple{N}, Tuple{T}} where {T, N, S, D}` in module `SciMLBase`\n",
      "\u001b[33m\u001b[1m└ \u001b[22m\u001b[39m\u001b[90m@ Base.Docs docs/Docs.jl:240\u001b[39m\n",
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mPrecompiling SciMLSensitivity [1ed8b502-d754-442c-8d5d-10ac956f44a1]\n",
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mPrecompiling DiffEqFlux [aae7a2af-3d4f-5e19-a356-7da93b79d9d0]\n",
      "WARNING: Method definition (::Type{DiffEqFlux.DeterministicCNF{M, P, RE, D, T, A, K} where K where A where T where D where RE where P where M})(Any, Any, Any, Any, Any, Any, Any) in module DiffEqFlux at /home/kkganko/.julia/packages/DiffEqFlux/jHIee/src/ffjord.jl:41 overwritten at deprecated.jl:70.\n",
      "  ** incremental compilation may be fatally broken for this module **\n",
      "\n",
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mPrecompiling PyCall [438e738f-606a-5dbb-bf0a-cddfbfd45ab0]\n",
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mPrecompiling Plots [91a5bcdd-55d7-5caf-9e0b-520d859cae80]\n",
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mPrecompiling PyPlot [d330b81b-6aea-500a-939a-2ce795aea3ee]\n",
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mPrecompiling JLD [4138dd39-2aa7-5051-a626-17a0bb65d9c8]\n",
      "WARNING: could not import HDF5.exists into JLD\n",
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mPrecompiling BenchmarkTools [6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf]\n",
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mPrecompiling ComponentArrays [b0b7db55-cfe3-40fc-9ded-d10e2dbeff66]\n",
      "\u001b[36m\u001b[1m[ \u001b[22m\u001b[39m\u001b[36m\u001b[1mInfo: \u001b[22m\u001b[39mPrecompiling GraphRecipes [bd48cda9-67a9-57be-86fa-5b3c104eda73]\n"
     ]
    }
   ],
   "source": [
    "# check packages if working, precompilation will take a few minutes...\n",
    "using DifferentialEquations\n",
    "using DifferentialEquations.OrdinaryDiffEq # ODEs portion of DiffEq.jl\n",
    "using DifferentialEquations.StochasticDiffEq # SDEs portion of DiffEq.jl\n",
    "using DifferentialEquations.DiffEqBase.EnsembleAnalysis # DiffEqBase part of DiffEq.jl\n",
    "using SciMLSensitivity\n",
    "using DiffEqFlux\n",
    "using Lux\n",
    "using Zygote, Optimization, OptimizationFlux, Optim, Flux\n",
    "using Printf # for pretty string formatting of variables\n",
    "using Random # for setting random seeds\n",
    "using IJulia\n",
    "using Conda\n",
    "using PyCall\n",
    "using Plots\n",
    "using Plots; pyplot(html_output_format=:png)\n",
    "using JLD\n",
    "using LaTeXStrings\n",
    "using SpecialFunctions\n",
    "using LinearAlgebra\n",
    "using BenchmarkTools\n",
    "using ComponentArrays\n",
    "using Graphs\n",
    "using GraphRecipes\n",
    "using RecursiveArrayTools"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "ba373ee8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[32m\u001b[1m      Status\u001b[22m\u001b[39m `~/6.337/18.337-Project-SP2023/Project.toml`\n",
      " \u001b[90m [6e4b80f9] \u001b[39mBenchmarkTools v1.3.2\n",
      " \u001b[90m [b0b7db55] \u001b[39mComponentArrays v0.13.12\n",
      " \u001b[90m [8f4d0f93] \u001b[39mConda v1.8.0\n",
      " \u001b[90m [aae7a2af] \u001b[39mDiffEqFlux v1.54.0\n",
      " \u001b[90m [0c46a032] \u001b[39mDifferentialEquations v7.7.0\n",
      " \u001b[90m [31c24e10] \u001b[39mDistributions v0.25.91\n",
      " \u001b[90m [587475ba] \u001b[39mFlux v0.13.16\n",
      " \u001b[90m [f6369f11] \u001b[39mForwardDiff v0.10.35\n",
      " \u001b[90m [bd48cda9] \u001b[39mGraphRecipes v0.5.12\n",
      " \u001b[90m [86223c79] \u001b[39mGraphs v1.8.0\n",
      " \u001b[90m [7073ff75] \u001b[39mIJulia v1.24.0\n",
      " \u001b[90m [4138dd39] \u001b[39mJLD v0.13.3\n",
      " \u001b[90m [b964fa9f] \u001b[39mLaTeXStrings v1.3.0\n",
      " \u001b[90m [b2108857] \u001b[39mLux v0.4.53\n",
      " \u001b[90m [429524aa] \u001b[39mOptim v1.7.5\n",
      " \u001b[90m [7f7a1694] \u001b[39mOptimization v3.14.1\n",
      " \u001b[90m [253f991c] \u001b[39mOptimizationFlux v0.1.4\n",
      " \u001b[90m [91a5bcdd] \u001b[39mPlots v1.38.11\n",
      " \u001b[90m [438e738f] \u001b[39mPyCall v1.95.1\n",
      " \u001b[90m [d330b81b] \u001b[39mPyPlot v2.11.1\n",
      " \u001b[90m [731186ca] \u001b[39mRecursiveArrayTools v2.38.3\n",
      " \u001b[90m [1ed8b502] \u001b[39mSciMLSensitivity v7.31.0\n",
      " \u001b[90m [e88e6eb3] \u001b[39mZygote v0.6.61\n"
     ]
    }
   ],
   "source": [
    "Pkg.status()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "f8189c8d",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1×3 Matrix{String}:\n",
       " \"hi\"  \"hi\"  \"hi\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.07\n",
      "$5+5$\n",
      "$\\mathrm{My\\, \\alpha\\, including\\, a\\, variable\\, date:\\,}07-08-2018$\n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "$\\textrm{My date is } 07-08-2018$"
      ],
      "text/plain": [
       "L\"$\\textrm{My date is } 07-08-2018$\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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"
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Test if normal commands are working in this notebook\n",
    "display(\"text/plain\", [\"hi\" \"hi\" \"hi\"])\n",
    "Random.seed!(1) # set random seed for runs going forward\n",
    "testtest = rand() # should be reproducible random number at this point\n",
    "actual_label = \"$(@sprintf(\"%.2f\", testtest))\" # pretty formatting\n",
    "println(actual_label)\n",
    "\n",
    "# https://discourse.julialang.org/t/latex-code-for-titles-labels-with-plots-jl/1967/17\n",
    "println(L\"5+5\")\n",
    "date = \"07-08-2018\"\n",
    "titlestring = latexstring(\"\\\\mathrm{My\\\\, \\\\alpha\\\\, including\\\\, a\\\\, variable\\\\, date:\\\\,}\", date)\n",
    "println(titlestring)\n",
    "display(L\"\\textrm{My date is } %$(date)\")\n",
    "plot(sin, (0:0.01:5*pi), title = titlestring, xlabel = L\"\\mathrm{My\\, x-label\\, (mJ/cm^{3})}\", \n",
    "    ylabel = L\"\\mathrm{\\alpha (m/s)}\", label = latexstring(\"5x+4y\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "5c472d4f",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\u001b[33m\u001b[1m┌ \u001b[22m\u001b[39m\u001b[33m\u001b[1mWarning: \u001b[22m\u001b[39mKeyword argument markerstrokestyle not supported with Plots.PyPlotBackend().  Choose from: annotations, arrow, aspect_ratio, background_color, background_color_inside, background_color_outside, background_color_subplot, bar_edges, bar_position, bar_width, bins, bottom_margin, camera, clims, color_palette, colorbar, colorbar_entry, colorbar_scale, colorbar_tickfontcolor, colorbar_tickfontfamily, colorbar_tickfonthalign, colorbar_tickfontrotation, colorbar_tickfontsize, colorbar_tickfontvalign, colorbar_ticks, colorbar_title, colorbar_titlefontcolor, colorbar_titlefontsize, connections, contour_labels, contours, discrete_values, dpi, fill, fill_z, fillalpha, fillcolor, fillrange, fillstyle, flip, fontfamily, fontfamily_subplot, foreground_color, foreground_color_axis, foreground_color_border, foreground_color_grid, foreground_color_guide, foreground_color_subplot, foreground_color_text, foreground_color_title, framestyle, grid, gridalpha, gridlinewidth, gridstyle, group, guide, guide_position, guidefontcolor, guidefontfamily, guidefontsize, html_output_format, inset_subplots, label, layout, left_margin, legend_background_color, legend_column, legend_font, legend_font_color, legend_font_family, legend_font_pointsize, legend_foreground_color, legend_position, legend_title, legend_title_font_color, legend_title_font_family, legend_title_font_pointsize, levels, lims, line, line_z, linealpha, linecolor, linestyle, linewidth, link, margin, marker_z, markeralpha, markercolor, markershape, markersize, markerstrokealpha, markerstrokecolor, markerstrokewidth, normalize, orientation, overwrite_figure, permute, plot_title, plot_titlefontcolor, plot_titlefontfamily, plot_titlefontsize, plot_titlelocation, plot_titlevspan, polar, primary, projection, quiver, ribbon, right_margin, rotation, scale, series_annotations, seriesalpha, seriescolor, seriestype, show, show_empty_bins, size, smooth, stride, subplot, subplot_index, thickness_scaling, tick_direction, tickfontcolor, tickfontfamily, tickfontsize, ticks, title, titlefont, titlefontcolor, titlefontfamily, titlefontsize, titlelocation, top_margin, unitformat, weights, widen, window_title, x, xdiscrete_values, xerror, xflip, xforeground_color_axis, xforeground_color_border, xforeground_color_grid, xforeground_color_guide, xforeground_color_text, xformatter, xgrid, xgridalpha, xgridlinewidth, xgridstyle, xguide, xguide_position, xguidefont, xguidefontcolor, xguidefontfamily, xguidefontsize, xlims, xlink, xmirror, xrotation, xscale, xshowaxis, xtick_direction, xtickfontcolor, xtickfontfamily, xtickfontsize, xticks, xwiden, y, ydiscrete_values, yerror, yflip, yforeground_color_axis, yforeground_color_border, yforeground_color_grid, yforeground_color_guide, yforeground_color_text, yformatter, ygrid, ygridalpha, ygridlinewidth, ygridstyle, yguide, yguide_position, yguidefont, yguidefontcolor, yguidefontfamily, yguidefontsize, ylims, ylink, ymirror, yrotation, yscale, yshowaxis, ytick_direction, ytickfontcolor, ytickfontfamily, ytickfontsize, yticks, ywiden, z, z_order, zdiscrete_values, zerror, zflip, zforeground_color_axis, zforeground_color_border, zforeground_color_grid, zforeground_color_guide, zforeground_color_text, zformatter, zgrid, zgridalpha, zgridlinewidth, zgridstyle, zguide, zguide_position, zguidefont, zguidefontcolor, zguidefontfamily, zguidefontsize, zlims, zlink, zrotation, zscale, ztick_direction, ztickfontcolor, ztickfontfamily, ztickfontsize, zticks, zwiden\n",
      "\u001b[33m\u001b[1m└ \u001b[22m\u001b[39m\u001b[90m@ Plots ~/.julia/packages/Plots/esM5q/src/args.jl:1553\u001b[39m\n"
     ]
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"324pt\" height=\"324pt\" viewBox=\"0 0 324 324\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2023-05-14T21:28:31.763813</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.5.3, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 324 \n",
       "L 324 324 \n",
       "L 324 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 11.384646 321.015354 \n",
       "L 312.615354 321.015354 \n",
       "L 312.615354 19.784646 \n",
       "L 11.384646 19.784646 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_1\">\n",
       "    <path d=\"M 263.178185 173.881561 \n",
       "L 265.450852 174.125106 \n",
       "L 267.712939 174.3635 \n",
       "L 269.953865 174.591592 \n",
       "L 272.16305 174.804229 \n",
       "L 274.329915 174.996262 \n",
       "L 276.443878 175.162538 \n",
       "L 278.49436 175.297906 \n",
       "L 280.47078 175.397215 \n",
       "L 282.362558 175.455313 \n",
       "L 284.159114 175.46705 \n",
       "L 285.849867 175.427274 \n",
       "L 287.424237 175.330834 \n",
       "L 288.872489 175.173302 \n",
       "L 290.192235 174.956558 \n",
       "L 291.38487 174.685724 \n",
       "L 292.451824 174.365954 \n",
       "L 293.394524 174.002397 \n",
       "L 294.214396 173.600205 \n",
       "L 294.91287 173.16453 \n",
       "L 295.491372 172.700523 \n",
       "L 295.95133 172.213335 \n",
       "L 296.294172 171.708118 \n",
       "L 296.521326 171.190022 \n",
       "L 296.634219 170.664199 \n",
       "L 296.634219 170.135801 \n",
       "L 296.521326 169.609978 \n",
       "L 296.294172 169.091882 \n",
       "L 295.95133 168.586665 \n",
       "L 295.491372 168.099477 \n",
       "L 294.91287 167.63547 \n",
       "L 294.214396 167.199795 \n",
       "L 293.394524 166.797603 \n",
       "L 292.451824 166.434046 \n",
       "L 291.38487 166.114276 \n",
       "L 290.192235 165.843442 \n",
       "L 288.872489 165.626698 \n",
       "L 287.424237 165.469166 \n",
       "L 285.849867 165.372726 \n",
       "L 284.159114 165.33295 \n",
       "L 282.362558 165.344687 \n",
       "L 280.47078 165.402785 \n",
       "L 278.49436 165.502094 \n",
       "L 276.443878 165.637462 \n",
       "L 274.329915 165.803738 \n",
       "L 272.16305 165.995771 \n",
       "L 269.953865 166.208408 \n",
       "L 267.712939 166.4365 \n",
       "L 265.450852 166.674894 \n",
       "L 263.178185 166.918439 \n",
       "\" clip-path=\"url(#pb667272674)\" style=\"fill: none; stroke: #20b2aa; stroke-width: 2.666667\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\"/>\n",
       "    <g id=\"xtick_2\"/>\n",
       "    <g id=\"xtick_3\"/>\n",
       "    <g id=\"xtick_4\"/>\n",
       "    <g id=\"xtick_5\"/>\n",
       "    <g id=\"xtick_6\"/>\n",
       "    <g id=\"xtick_7\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\"/>\n",
       "    <g id=\"ytick_2\"/>\n",
       "    <g id=\"ytick_3\"/>\n",
       "    <g id=\"ytick_4\"/>\n",
       "    <g id=\"ytick_5\"/>\n",
       "    <g id=\"ytick_6\"/>\n",
       "    <g id=\"ytick_7\"/>\n",
       "    <g id=\"ytick_8\"/>\n",
       "    <g id=\"ytick_9\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_2\">\n",
       "    <path d=\"M 245.675197 170.4 \n",
       "L 241.917914 169.080582 \n",
       "L 238.162527 167.760336 \n",
       "L 234.410928 166.438432 \n",
       "L 230.665014 165.114043 \n",
       "L 226.926678 163.786338 \n",
       "L 223.197816 162.45449 \n",
       "L 219.480322 161.11767 \n",
       "L 215.77609 159.77505 \n",
       "L 212.087016 158.4258 \n",
       "L 208.414994 157.069091 \n",
       "L 204.761919 155.704096 \n",
       "L 201.129685 154.329986 \n",
       "L 197.520188 152.945931 \n",
       "L 193.935321 151.551103 \n",
       "L 190.376979 150.144674 \n",
       "L 186.847058 148.725815 \n",
       "L 183.347452 147.293697 \n",
       "L 179.880055 145.847491 \n",
       "L 176.446762 144.386369 \n",
       "L 173.049468 142.909502 \n",
       "L 169.690067 141.416062 \n",
       "L 166.370455 139.905219 \n",
       "L 163.092526 138.376145 \n",
       "L 159.858174 136.828012 \n",
       "L 156.669215 135.260025 \n",
       "L 153.52565 133.672184 \n",
       "L 150.425662 132.065283 \n",
       "L 147.367357 130.440151 \n",
       "L 144.34884 128.797617 \n",
       "L 141.368217 127.13851 \n",
       "L 138.423593 125.463657 \n",
       "L 135.513073 123.773889 \n",
       "L 132.634762 122.070032 \n",
       "L 129.786766 120.352917 \n",
       "L 126.96719 118.623372 \n",
       "L 124.17414 116.882225 \n",
       "L 121.40572 115.130305 \n",
       "L 118.660037 113.368441 \n",
       "L 115.935195 111.597462 \n",
       "L 113.2293 109.818196 \n",
       "L 110.540457 108.031471 \n",
       "L 107.866771 106.238118 \n",
       "L 105.206348 104.438963 \n",
       "L 102.557293 102.634837 \n",
       "L 99.917711 100.826567 \n",
       "L 97.285708 99.014982 \n",
       "L 94.65939 97.200911 \n",
       "L 92.03686 95.385183 \n",
       "L 89.416225 93.568626 \n",
       "\" clip-path=\"url(#pb667272674)\" style=\"fill: none; stroke-dasharray: 9.866667,4.266667; stroke-dashoffset: 0; stroke: #20b2aa; stroke-width: 2.666667\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_3\">\n",
       "    <path d=\"M 245.675197 170.4 \n",
       "L 242.365293 172.614175 \n",
       "L 239.055864 174.826338 \n",
       "L 235.747382 177.034474 \n",
       "L 232.440321 179.236572 \n",
       "L 229.135156 181.430618 \n",
       "L 225.832361 183.614599 \n",
       "L 222.532408 185.786502 \n",
       "L 219.235773 187.944315 \n",
       "L 215.942928 190.086024 \n",
       "L 212.654348 192.209617 \n",
       "L 209.370507 194.31308 \n",
       "L 206.091879 196.394401 \n",
       "L 202.818936 198.451566 \n",
       "L 199.552154 200.482563 \n",
       "L 196.292006 202.485379 \n",
       "L 193.038966 204.458 \n",
       "L 189.793507 206.398414 \n",
       "L 186.556104 208.304608 \n",
       "L 183.327231 210.17457 \n",
       "L 180.107361 212.006285 \n",
       "L 176.896969 213.797741 \n",
       "L 173.696527 215.546925 \n",
       "L 170.50651 217.251824 \n",
       "L 167.327392 218.910426 \n",
       "L 164.159627 220.5208 \n",
       "L 161.003215 222.082948 \n",
       "L 157.857702 223.598798 \n",
       "L 154.722614 225.070363 \n",
       "L 151.597477 226.499656 \n",
       "L 148.481817 227.88869 \n",
       "L 145.37516 229.239478 \n",
       "L 142.277033 230.554033 \n",
       "L 139.186962 231.834367 \n",
       "L 136.104472 233.082495 \n",
       "L 133.02909 234.300428 \n",
       "L 129.960343 235.490181 \n",
       "L 126.897755 236.653764 \n",
       "L 123.840854 237.793193 \n",
       "L 120.789165 238.910479 \n",
       "L 117.742215 240.007635 \n",
       "L 114.69953 241.086675 \n",
       "L 111.660635 242.149611 \n",
       "L 108.625058 243.198457 \n",
       "L 105.592324 244.235225 \n",
       "L 102.561959 245.261928 \n",
       "L 99.533489 246.28058 \n",
       "L 96.506441 247.293192 \n",
       "L 93.480341 248.301779 \n",
       "L 90.454715 249.308353 \n",
       "\" clip-path=\"url(#pb667272674)\" style=\"fill: none; stroke-dasharray: 9.866667,4.266667; stroke-dashoffset: 0; stroke: #20b2aa; stroke-width: 2.666667\"/>\n",
       "   </g>\n",
       "   <g id=\"text_1\">\n",
       "    <!-- GraphRecipes.jl Digraph w/ Self-Loops -->\n",
       "    <g transform=\"translate(29.049219 13.784646)scale(0.14 -0.14)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-47\" d=\"M 3809 666 \n",
       "L 3809 1919 \n",
       "L 2778 1919 \n",
       "L 2778 2438 \n",
       "L 4434 2438 \n",
       "L 4434 434 \n",
       "Q 4069 175 3628 42 \n",
       "Q 3188 -91 2688 -91 \n",
       "Q 1594 -91 976 548 \n",
       "Q 359 1188 359 2328 \n",
       "Q 359 3472 976 4111 \n",
       "Q 1594 4750 2688 4750 \n",
       "Q 3144 4750 3555 4637 \n",
       "Q 3966 4525 4313 4306 \n",
       "L 4313 3634 \n",
       "Q 3963 3931 3569 4081 \n",
       "Q 3175 4231 2741 4231 \n",
       "Q 1884 4231 1454 3753 \n",
       "Q 1025 3275 1025 2328 \n",
       "Q 1025 1384 1454 906 \n",
       "Q 1884 428 2741 428 \n",
       "Q 3075 428 3337 486 \n",
       "Q 3600 544 3809 666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-72\" d=\"M 2631 2963 \n",
       "Q 2534 3019 2420 3045 \n",
       "Q 2306 3072 2169 3072 \n",
       "Q 1681 3072 1420 2755 \n",
       "Q 1159 2438 1159 1844 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2956 \n",
       "Q 1341 3275 1631 3429 \n",
       "Q 1922 3584 2338 3584 \n",
       "Q 2397 3584 2469 3576 \n",
       "Q 2541 3569 2628 3553 \n",
       "L 2631 2963 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-61\" d=\"M 2194 1759 \n",
       "Q 1497 1759 1228 1600 \n",
       "Q 959 1441 959 1056 \n",
       "Q 959 750 1161 570 \n",
       "Q 1363 391 1709 391 \n",
       "Q 2188 391 2477 730 \n",
       "Q 2766 1069 2766 1631 \n",
       "L 2766 1759 \n",
       "L 2194 1759 \n",
       "z\n",
       "M 3341 1997 \n",
       "L 3341 0 \n",
       "L 2766 0 \n",
       "L 2766 531 \n",
       "Q 2569 213 2275 61 \n",
       "Q 1981 -91 1556 -91 \n",
       "Q 1019 -91 701 211 \n",
       "Q 384 513 384 1019 \n",
       "Q 384 1609 779 1909 \n",
       "Q 1175 2209 1959 2209 \n",
       "L 2766 2209 \n",
       "L 2766 2266 \n",
       "Q 2766 2663 2505 2880 \n",
       "Q 2244 3097 1772 3097 \n",
       "Q 1472 3097 1187 3025 \n",
       "Q 903 2953 641 2809 \n",
       "L 641 3341 \n",
       "Q 956 3463 1253 3523 \n",
       "Q 1550 3584 1831 3584 \n",
       "Q 2591 3584 2966 3190 \n",
       "Q 3341 2797 3341 1997 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-70\" d=\"M 1159 525 \n",
       "L 1159 -1331 \n",
       "L 581 -1331 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2969 \n",
       "Q 1341 3281 1617 3432 \n",
       "Q 1894 3584 2278 3584 \n",
       "Q 2916 3584 3314 3078 \n",
       "Q 3713 2572 3713 1747 \n",
       "Q 3713 922 3314 415 \n",
       "Q 2916 -91 2278 -91 \n",
       "Q 1894 -91 1617 61 \n",
       "Q 1341 213 1159 525 \n",
       "z\n",
       "M 3116 1747 \n",
       "Q 3116 2381 2855 2742 \n",
       "Q 2594 3103 2138 3103 \n",
       "Q 1681 3103 1420 2742 \n",
       "Q 1159 2381 1159 1747 \n",
       "Q 1159 1113 1420 752 \n",
       "Q 1681 391 2138 391 \n",
       "Q 2594 391 2855 752 \n",
       "Q 3116 1113 3116 1747 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-68\" d=\"M 3513 2113 \n",
       "L 3513 0 \n",
       "L 2938 0 \n",
       "L 2938 2094 \n",
       "Q 2938 2591 2744 2837 \n",
       "Q 2550 3084 2163 3084 \n",
       "Q 1697 3084 1428 2787 \n",
       "Q 1159 2491 1159 1978 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 4863 \n",
       "L 1159 4863 \n",
       "L 1159 2956 \n",
       "Q 1366 3272 1645 3428 \n",
       "Q 1925 3584 2291 3584 \n",
       "Q 2894 3584 3203 3211 \n",
       "Q 3513 2838 3513 2113 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-52\" d=\"M 2841 2188 \n",
       "Q 3044 2119 3236 1894 \n",
       "Q 3428 1669 3622 1275 \n",
       "L 4263 0 \n",
       "L 3584 0 \n",
       "L 2988 1197 \n",
       "Q 2756 1666 2539 1819 \n",
       "Q 2322 1972 1947 1972 \n",
       "L 1259 1972 \n",
       "L 1259 0 \n",
       "L 628 0 \n",
       "L 628 4666 \n",
       "L 2053 4666 \n",
       "Q 2853 4666 3247 4331 \n",
       "Q 3641 3997 3641 3322 \n",
       "Q 3641 2881 3436 2590 \n",
       "Q 3231 2300 2841 2188 \n",
       "z\n",
       "M 1259 4147 \n",
       "L 1259 2491 \n",
       "L 2053 2491 \n",
       "Q 2509 2491 2742 2702 \n",
       "Q 2975 2913 2975 3322 \n",
       "Q 2975 3731 2742 3939 \n",
       "Q 2509 4147 2053 4147 \n",
       "L 1259 4147 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-65\" d=\"M 3597 1894 \n",
       "L 3597 1613 \n",
       "L 953 1613 \n",
       "Q 991 1019 1311 708 \n",
       "Q 1631 397 2203 397 \n",
       "Q 2534 397 2845 478 \n",
       "Q 3156 559 3463 722 \n",
       "L 3463 178 \n",
       "Q 3153 47 2828 -22 \n",
       "Q 2503 -91 2169 -91 \n",
       "Q 1331 -91 842 396 \n",
       "Q 353 884 353 1716 \n",
       "Q 353 2575 817 3079 \n",
       "Q 1281 3584 2069 3584 \n",
       "Q 2775 3584 3186 3129 \n",
       "Q 3597 2675 3597 1894 \n",
       "z\n",
       "M 3022 2063 \n",
       "Q 3016 2534 2758 2815 \n",
       "Q 2500 3097 2075 3097 \n",
       "Q 1594 3097 1305 2825 \n",
       "Q 1016 2553 972 2059 \n",
       "L 3022 2063 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-63\" d=\"M 3122 3366 \n",
       "L 3122 2828 \n",
       "Q 2878 2963 2633 3030 \n",
       "Q 2388 3097 2138 3097 \n",
       "Q 1578 3097 1268 2742 \n",
       "Q 959 2388 959 1747 \n",
       "Q 959 1106 1268 751 \n",
       "Q 1578 397 2138 397 \n",
       "Q 2388 397 2633 464 \n",
       "Q 2878 531 3122 666 \n",
       "L 3122 134 \n",
       "Q 2881 22 2623 -34 \n",
       "Q 2366 -91 2075 -91 \n",
       "Q 1284 -91 818 406 \n",
       "Q 353 903 353 1747 \n",
       "Q 353 2603 823 3093 \n",
       "Q 1294 3584 2113 3584 \n",
       "Q 2378 3584 2631 3529 \n",
       "Q 2884 3475 3122 3366 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-69\" d=\"M 603 3500 \n",
       "L 1178 3500 \n",
       "L 1178 0 \n",
       "L 603 0 \n",
       "L 603 3500 \n",
       "z\n",
       "M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 4134 \n",
       "L 603 4134 \n",
       "L 603 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-73\" d=\"M 2834 3397 \n",
       "L 2834 2853 \n",
       "Q 2591 2978 2328 3040 \n",
       "Q 2066 3103 1784 3103 \n",
       "Q 1356 3103 1142 2972 \n",
       "Q 928 2841 928 2578 \n",
       "Q 928 2378 1081 2264 \n",
       "Q 1234 2150 1697 2047 \n",
       "L 1894 2003 \n",
       "Q 2506 1872 2764 1633 \n",
       "Q 3022 1394 3022 966 \n",
       "Q 3022 478 2636 193 \n",
       "Q 2250 -91 1575 -91 \n",
       "Q 1294 -91 989 -36 \n",
       "Q 684 19 347 128 \n",
       "L 347 722 \n",
       "Q 666 556 975 473 \n",
       "Q 1284 391 1588 391 \n",
       "Q 1994 391 2212 530 \n",
       "Q 2431 669 2431 922 \n",
       "Q 2431 1156 2273 1281 \n",
       "Q 2116 1406 1581 1522 \n",
       "L 1381 1569 \n",
       "Q 847 1681 609 1914 \n",
       "Q 372 2147 372 2553 \n",
       "Q 372 3047 722 3315 \n",
       "Q 1072 3584 1716 3584 \n",
       "Q 2034 3584 2315 3537 \n",
       "Q 2597 3491 2834 3397 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-2e\" d=\"M 684 794 \n",
       "L 1344 794 \n",
       "L 1344 0 \n",
       "L 684 0 \n",
       "L 684 794 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-6a\" d=\"M 603 3500 \n",
       "L 1178 3500 \n",
       "L 1178 -63 \n",
       "Q 1178 -731 923 -1031 \n",
       "Q 669 -1331 103 -1331 \n",
       "L -116 -1331 \n",
       "L -116 -844 \n",
       "L 38 -844 \n",
       "Q 366 -844 484 -692 \n",
       "Q 603 -541 603 -63 \n",
       "L 603 3500 \n",
       "z\n",
       "M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 4134 \n",
       "L 603 4134 \n",
       "L 603 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-6c\" d=\"M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 0 \n",
       "L 603 0 \n",
       "L 603 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-44\" d=\"M 1259 4147 \n",
       "L 1259 519 \n",
       "L 2022 519 \n",
       "Q 2988 519 3436 956 \n",
       "Q 3884 1394 3884 2338 \n",
       "Q 3884 3275 3436 3711 \n",
       "Q 2988 4147 2022 4147 \n",
       "L 1259 4147 \n",
       "z\n",
       "M 628 4666 \n",
       "L 1925 4666 \n",
       "Q 3281 4666 3915 4102 \n",
       "Q 4550 3538 4550 2338 \n",
       "Q 4550 1131 3912 565 \n",
       "Q 3275 0 1925 0 \n",
       "L 628 0 \n",
       "L 628 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-67\" d=\"M 2906 1791 \n",
       "Q 2906 2416 2648 2759 \n",
       "Q 2391 3103 1925 3103 \n",
       "Q 1463 3103 1205 2759 \n",
       "Q 947 2416 947 1791 \n",
       "Q 947 1169 1205 825 \n",
       "Q 1463 481 1925 481 \n",
       "Q 2391 481 2648 825 \n",
       "Q 2906 1169 2906 1791 \n",
       "z\n",
       "M 3481 434 \n",
       "Q 3481 -459 3084 -895 \n",
       "Q 2688 -1331 1869 -1331 \n",
       "Q 1566 -1331 1297 -1286 \n",
       "Q 1028 -1241 775 -1147 \n",
       "L 775 -588 \n",
       "Q 1028 -725 1275 -790 \n",
       "Q 1522 -856 1778 -856 \n",
       "Q 2344 -856 2625 -561 \n",
       "Q 2906 -266 2906 331 \n",
       "L 2906 616 \n",
       "Q 2728 306 2450 153 \n",
       "Q 2172 0 1784 0 \n",
       "Q 1141 0 747 490 \n",
       "Q 353 981 353 1791 \n",
       "Q 353 2603 747 3093 \n",
       "Q 1141 3584 1784 3584 \n",
       "Q 2172 3584 2450 3431 \n",
       "Q 2728 3278 2906 2969 \n",
       "L 2906 3500 \n",
       "L 3481 3500 \n",
       "L 3481 434 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-77\" d=\"M 269 3500 \n",
       "L 844 3500 \n",
       "L 1563 769 \n",
       "L 2278 3500 \n",
       "L 2956 3500 \n",
       "L 3675 769 \n",
       "L 4391 3500 \n",
       "L 4966 3500 \n",
       "L 4050 0 \n",
       "L 3372 0 \n",
       "L 2619 2869 \n",
       "L 1863 0 \n",
       "L 1184 0 \n",
       "L 269 3500 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-2f\" d=\"M 1625 4666 \n",
       "L 2156 4666 \n",
       "L 531 -594 \n",
       "L 0 -594 \n",
       "L 1625 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-53\" d=\"M 3425 4513 \n",
       "L 3425 3897 \n",
       "Q 3066 4069 2747 4153 \n",
       "Q 2428 4238 2131 4238 \n",
       "Q 1616 4238 1336 4038 \n",
       "Q 1056 3838 1056 3469 \n",
       "Q 1056 3159 1242 3001 \n",
       "Q 1428 2844 1947 2747 \n",
       "L 2328 2669 \n",
       "Q 3034 2534 3370 2195 \n",
       "Q 3706 1856 3706 1288 \n",
       "Q 3706 609 3251 259 \n",
       "Q 2797 -91 1919 -91 \n",
       "Q 1588 -91 1214 -16 \n",
       "Q 841 59 441 206 \n",
       "L 441 856 \n",
       "Q 825 641 1194 531 \n",
       "Q 1563 422 1919 422 \n",
       "Q 2459 422 2753 634 \n",
       "Q 3047 847 3047 1241 \n",
       "Q 3047 1584 2836 1778 \n",
       "Q 2625 1972 2144 2069 \n",
       "L 1759 2144 \n",
       "Q 1053 2284 737 2584 \n",
       "Q 422 2884 422 3419 \n",
       "Q 422 4038 858 4394 \n",
       "Q 1294 4750 2059 4750 \n",
       "Q 2388 4750 2728 4690 \n",
       "Q 3069 4631 3425 4513 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-66\" d=\"M 2375 4863 \n",
       "L 2375 4384 \n",
       "L 1825 4384 \n",
       "Q 1516 4384 1395 4259 \n",
       "Q 1275 4134 1275 3809 \n",
       "L 1275 3500 \n",
       "L 2222 3500 \n",
       "L 2222 3053 \n",
       "L 1275 3053 \n",
       "L 1275 0 \n",
       "L 697 0 \n",
       "L 697 3053 \n",
       "L 147 3053 \n",
       "L 147 3500 \n",
       "L 697 3500 \n",
       "L 697 3744 \n",
       "Q 697 4328 969 4595 \n",
       "Q 1241 4863 1831 4863 \n",
       "L 2375 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-2d\" d=\"M 313 2009 \n",
       "L 1997 2009 \n",
       "L 1997 1497 \n",
       "L 313 1497 \n",
       "L 313 2009 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-4c\" d=\"M 628 4666 \n",
       "L 1259 4666 \n",
       "L 1259 531 \n",
       "L 3531 531 \n",
       "L 3531 0 \n",
       "L 628 0 \n",
       "L 628 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-6f\" d=\"M 1959 3097 \n",
       "Q 1497 3097 1228 2736 \n",
       "Q 959 2375 959 1747 \n",
       "Q 959 1119 1226 758 \n",
       "Q 1494 397 1959 397 \n",
       "Q 2419 397 2687 759 \n",
       "Q 2956 1122 2956 1747 \n",
       "Q 2956 2369 2687 2733 \n",
       "Q 2419 3097 1959 3097 \n",
       "z\n",
       "M 1959 3584 \n",
       "Q 2709 3584 3137 3096 \n",
       "Q 3566 2609 3566 1747 \n",
       "Q 3566 888 3137 398 \n",
       "Q 2709 -91 1959 -91 \n",
       "Q 1206 -91 779 398 \n",
       "Q 353 888 353 1747 \n",
       "Q 353 2609 779 3096 \n",
       "Q 1206 3584 1959 3584 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-47\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-72\" x=\"77.490234\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-61\" x=\"118.603516\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-70\" x=\"179.882812\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-68\" x=\"243.359375\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-52\" x=\"306.738281\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-65\" x=\"371.720703\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-63\" x=\"433.244141\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-69\" x=\"488.224609\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-70\" x=\"516.007812\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-65\" x=\"579.484375\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-73\" x=\"641.007812\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-2e\" x=\"693.107422\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-6a\" x=\"724.894531\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-6c\" x=\"752.677734\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-20\" x=\"780.460938\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-44\" x=\"812.248047\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-69\" x=\"889.25\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-67\" x=\"917.033203\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-72\" x=\"980.509766\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-61\" x=\"1021.623047\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-70\" x=\"1082.902344\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-68\" x=\"1146.378906\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-20\" x=\"1209.757812\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-77\" x=\"1241.544922\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-2f\" x=\"1323.332031\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-20\" x=\"1357.023438\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-53\" x=\"1388.810547\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-65\" x=\"1452.287109\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-6c\" x=\"1513.810547\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-66\" x=\"1541.59375\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-2d\" x=\"1571.298828\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-4c\" x=\"1607.382812\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-6f\" x=\"1661.345703\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-6f\" x=\"1722.527344\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-70\" x=\"1783.708984\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-73\" x=\"1847.185547\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_4\">\n",
       "    <path d=\"M 82.879342 98.927583 \n",
       "L 81.509036 95.57232 \n",
       "L 80.142975 92.239126 \n",
       "L 78.785404 88.950072 \n",
       "L 77.440566 85.727226 \n",
       "L 76.112706 82.592659 \n",
       "L 74.806069 79.56844 \n",
       "L 73.524899 76.676639 \n",
       "L 72.273441 73.939325 \n",
       "L 71.055939 71.378568 \n",
       "L 69.876638 69.016438 \n",
       "L 68.739783 66.875004 \n",
       "L 67.649617 64.976335 \n",
       "L 66.610128 63.339946 \n",
       "L 65.62305 61.963102 \n",
       "L 64.68896 60.831614 \n",
       "L 63.808426 59.931198 \n",
       "L 62.982015 59.24757 \n",
       "L 62.210295 58.766447 \n",
       "L 61.493831 58.473543 \n",
       "L 60.833192 58.354575 \n",
       "L 60.228946 58.39526 \n",
       "L 59.681658 58.581313 \n",
       "L 59.191897 58.89845 \n",
       "L 58.76023 59.332388 \n",
       "L 58.387255 59.868892 \n",
       "L 58.074291 60.494894 \n",
       "L 57.823373 61.198488 \n",
       "L 57.636571 61.967819 \n",
       "L 57.515953 62.791032 \n",
       "L 57.463588 63.656271 \n",
       "L 57.481543 64.551681 \n",
       "L 57.571887 65.465408 \n",
       "L 57.736689 66.385596 \n",
       "L 57.978017 67.30039 \n",
       "L 58.297939 68.197936 \n",
       "L 58.698524 69.066377 \n",
       "L 59.181816 69.893901 \n",
       "L 59.747042 70.673712 \n",
       "L 60.387949 71.408759 \n",
       "L 61.097659 72.103111 \n",
       "L 61.86929 72.760839 \n",
       "L 62.695963 73.386012 \n",
       "L 63.570797 73.982699 \n",
       "L 64.486913 74.554969 \n",
       "L 65.437429 75.106892 \n",
       "L 66.415466 75.642537 \n",
       "L 67.414144 76.165975 \n",
       "L 68.426582 76.681273 \n",
       "L 69.4459 77.192502 \n",
       "\" clip-path=\"url(#pb667272674)\" style=\"fill: none; stroke: #ffa500; stroke-width: 4\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_5\">\n",
       "    <path d=\"M 78.324803 86.724803 \n",
       "L 78.823605 90.272226 \n",
       "L 79.320832 93.818326 \n",
       "L 79.81491 97.361781 \n",
       "L 80.304263 100.901267 \n",
       "L 80.787319 104.435463 \n",
       "L 81.2625 107.963045 \n",
       "L 81.728234 111.48269 \n",
       "L 82.182945 114.993076 \n",
       "L 82.625058 118.49288 \n",
       "L 83.053 121.98078 \n",
       "L 83.465195 125.455452 \n",
       "L 83.860068 128.915574 \n",
       "L 84.236045 132.359823 \n",
       "L 84.591552 135.786877 \n",
       "L 84.925013 139.195412 \n",
       "L 85.234854 142.584106 \n",
       "L 85.519501 145.951636 \n",
       "L 85.777378 149.296679 \n",
       "L 86.006911 152.617914 \n",
       "L 86.206525 155.914016 \n",
       "L 86.374646 159.183663 \n",
       "L 86.509698 162.425533 \n",
       "L 86.610108 165.638302 \n",
       "L 86.6743 168.820649 \n",
       "L 86.700766 171.971305 \n",
       "L 86.689505 175.09027 \n",
       "L 86.642027 178.178812 \n",
       "L 86.559906 181.238253 \n",
       "L 86.444717 184.269918 \n",
       "L 86.298035 187.275127 \n",
       "L 86.121434 190.255204 \n",
       "L 85.916488 193.211472 \n",
       "L 85.684774 196.145254 \n",
       "L 85.427864 199.057871 \n",
       "L 85.147335 201.950648 \n",
       "L 84.84476 204.824906 \n",
       "L 84.521714 207.681968 \n",
       "L 84.179772 210.523158 \n",
       "L 83.820509 213.349797 \n",
       "L 83.445499 216.163209 \n",
       "L 83.056317 218.964716 \n",
       "L 82.654538 221.755642 \n",
       "L 82.241736 224.537308 \n",
       "L 81.819486 227.311038 \n",
       "L 81.389363 230.078154 \n",
       "L 80.952941 232.839979 \n",
       "L 80.511795 235.597836 \n",
       "L 80.067499 238.353047 \n",
       "L 79.621629 241.106936 \n",
       "\" clip-path=\"url(#pb667272674)\" style=\"fill: none; stroke-dasharray: 14.8,6.4; stroke-dashoffset: 0; stroke: #ffa500; stroke-width: 4\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_6\">\n",
       "    <path d=\"M 78.324803 254.075197 \n",
       "L 81.680473 251.843036 \n",
       "L 85.03521 249.613069 \n",
       "L 88.388084 247.387487 \n",
       "L 91.738161 245.168485 \n",
       "L 95.084509 242.958254 \n",
       "L 98.426198 240.758989 \n",
       "L 101.762293 238.572882 \n",
       "L 105.091864 236.402126 \n",
       "L 108.413978 234.248915 \n",
       "L 111.727704 232.11544 \n",
       "L 115.032108 230.003896 \n",
       "L 118.32626 227.916475 \n",
       "L 121.609226 225.855371 \n",
       "L 124.880075 223.822776 \n",
       "L 128.137875 221.820883 \n",
       "L 131.381693 219.851885 \n",
       "L 134.610598 217.917976 \n",
       "L 137.823657 216.021349 \n",
       "L 141.019938 214.164196 \n",
       "L 144.19851 212.34871 \n",
       "L 147.358439 210.577085 \n",
       "L 150.498795 208.851514 \n",
       "L 153.618645 207.174189 \n",
       "L 156.717056 205.547304 \n",
       "L 159.793136 203.97296 \n",
       "L 162.846885 202.451157 \n",
       "L 165.879195 200.979794 \n",
       "L 168.891 199.556677 \n",
       "L 171.88323 198.179614 \n",
       "L 174.856819 196.846412 \n",
       "L 177.812697 195.554877 \n",
       "L 180.751798 194.302817 \n",
       "L 183.675053 193.088038 \n",
       "L 186.583395 191.908347 \n",
       "L 189.477756 190.761552 \n",
       "L 192.359067 189.645459 \n",
       "L 195.228261 188.557876 \n",
       "L 198.086269 187.496609 \n",
       "L 200.934025 186.459465 \n",
       "L 203.77246 185.444251 \n",
       "L 206.602506 184.448775 \n",
       "L 209.425095 183.470843 \n",
       "L 212.241159 182.508262 \n",
       "L 215.051631 181.558839 \n",
       "L 217.857442 180.620381 \n",
       "L 220.659525 179.690696 \n",
       "L 223.458812 178.767589 \n",
       "L 226.256235 177.848869 \n",
       "L 229.052725 176.932342 \n",
       "\" clip-path=\"url(#pb667272674)\" style=\"fill: none; stroke-dasharray: 14.8,6.4; stroke-dashoffset: 0; stroke: #40e0d0; stroke-width: 4\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_7\">\n",
       "    <path d=\"M 87.201712 244.545037 \n",
       "L 84.813556 247.271083 \n",
       "L 82.443242 249.983464 \n",
       "L 80.10861 252.668514 \n",
       "L 77.8275 255.312568 \n",
       "L 75.617754 257.90196 \n",
       "L 73.497213 260.423025 \n",
       "L 71.483717 262.862098 \n",
       "L 69.595108 265.205514 \n",
       "L 67.849227 267.439607 \n",
       "L 66.263913 269.550711 \n",
       "L 64.857009 271.525161 \n",
       "L 63.646356 273.349292 \n",
       "L 62.647623 275.010813 \n",
       "L 61.857589 276.509394 \n",
       "L 61.263306 277.850864 \n",
       "L 60.851744 279.041102 \n",
       "L 60.609875 280.085988 \n",
       "L 60.524668 280.991401 \n",
       "L 60.583096 281.763222 \n",
       "L 60.772128 282.407331 \n",
       "L 61.078736 282.929606 \n",
       "L 61.489891 283.335927 \n",
       "L 61.992563 283.632175 \n",
       "L 62.573723 283.824229 \n",
       "L 63.220374 283.917918 \n",
       "L 63.920237 283.917908 \n",
       "L 64.661753 283.827699 \n",
       "L 65.433393 283.650743 \n",
       "L 66.22363 283.39049 \n",
       "L 67.020935 283.050392 \n",
       "L 67.813781 282.633899 \n",
       "L 68.59064 282.144462 \n",
       "L 69.339983 281.585531 \n",
       "L 70.050283 280.960559 \n",
       "L 70.710011 280.272995 \n",
       "L 71.30764 279.526291 \n",
       "L 71.831689 278.723899 \n",
       "L 72.276427 277.869551 \n",
       "L 72.647286 276.96752 \n",
       "L 72.950983 276.022141 \n",
       "L 73.194235 275.037749 \n",
       "L 73.383757 274.018678 \n",
       "L 73.526265 272.969263 \n",
       "L 73.628476 271.89384 \n",
       "L 73.697107 270.796742 \n",
       "L 73.738872 269.682305 \n",
       "L 73.760489 268.554863 \n",
       "L 73.768674 267.418752 \n",
       "L 73.770142 266.278306 \n",
       "\" clip-path=\"url(#pb667272674)\" style=\"fill: none; stroke: #40e0d0; stroke-width: 4\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 263.535154 170.4 \n",
       "L 263.478695 168.981023 \n",
       "L 263.309678 167.571018 \n",
       "L 263.029169 166.178899 \n",
       "L 262.638943 164.813466 \n",
       "L 262.141467 163.483354 \n",
       "L 261.539886 162.19697 \n",
       "L 260.838003 160.962449 \n",
       "L 260.040256 159.787595 \n",
       "L 259.151688 158.679837 \n",
       "L 258.177918 157.646176 \n",
       "L 257.125101 156.69315 \n",
       "L 255.999895 155.826783 \n",
       "L 254.809412 155.052552 \n",
       "L 253.56118 154.375353 \n",
       "L 252.263091 153.799467 \n",
       "L 250.92335 153.328534 \n",
       "L 249.550429 152.965533 \n",
       "L 248.153007 152.712759 \n",
       "L 246.73992 152.571808 \n",
       "L 245.320102 152.543574 \n",
       "L 243.902528 152.628233 \n",
       "L 242.496162 152.825251 \n",
       "L 241.109895 153.133383 \n",
       "L 239.752491 153.550679 \n",
       "L 238.432532 154.074503 \n",
       "L 237.158364 154.701541 \n",
       "L 235.938042 155.42783 \n",
       "L 234.779281 156.248778 \n",
       "L 233.689408 157.159195 \n",
       "L 232.675313 158.153324 \n",
       "L 231.743407 159.224881 \n",
       "L 230.899583 160.36709 \n",
       "L 230.149174 161.572731 \n",
       "L 229.496927 162.83418 \n",
       "L 228.946963 164.143463 \n",
       "L 228.502761 165.492302 \n",
       "L 228.167128 166.872169 \n",
       "L 227.942187 168.27434 \n",
       "L 227.82936 169.68995 \n",
       "L 227.82936 171.11005 \n",
       "L 227.942187 172.52566 \n",
       "L 228.167128 173.927831 \n",
       "L 228.502761 175.307698 \n",
       "L 228.946963 176.656537 \n",
       "L 229.496927 177.96582 \n",
       "L 230.149174 179.227269 \n",
       "L 230.899583 180.43291 \n",
       "L 231.743407 181.575119 \n",
       "L 232.675313 182.646676 \n",
       "L 233.689408 183.640805 \n",
       "L 234.779281 184.551222 \n",
       "L 235.938042 185.37217 \n",
       "L 237.158364 186.098459 \n",
       "L 238.432532 186.725497 \n",
       "L 239.752491 187.249321 \n",
       "L 241.109895 187.666617 \n",
       "L 242.496162 187.974749 \n",
       "L 243.902528 188.171767 \n",
       "L 245.320102 188.256426 \n",
       "L 246.73992 188.228192 \n",
       "L 248.153007 188.087241 \n",
       "L 249.550429 187.834467 \n",
       "L 250.92335 187.471466 \n",
       "L 252.263091 187.000533 \n",
       "L 253.56118 186.424647 \n",
       "L 254.809412 185.747448 \n",
       "L 255.999895 184.973217 \n",
       "L 257.125101 184.10685 \n",
       "L 258.177918 183.153824 \n",
       "L 259.151688 182.120163 \n",
       "L 260.040256 181.012405 \n",
       "L 260.838003 179.837551 \n",
       "L 261.539886 178.60303 \n",
       "L 262.141467 177.316646 \n",
       "L 262.638943 175.986534 \n",
       "L 263.029169 174.621101 \n",
       "L 263.309678 173.228982 \n",
       "L 263.478695 171.818977 \n",
       "L 263.535154 170.4 \n",
       "\" clip-path=\"url(#pb667272674)\" style=\"fill: #20b2aa; stroke-dasharray: 0,0; stroke-dashoffset: 0\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 91.357744 86.724803 \n",
       "L 91.316545 85.689334 \n",
       "L 91.193208 84.660411 \n",
       "L 90.988513 83.64454 \n",
       "L 90.703753 82.648143 \n",
       "L 90.34073 81.677521 \n",
       "L 89.901738 80.738809 \n",
       "L 89.389554 79.837942 \n",
       "L 88.807414 78.980616 \n",
       "L 88.159 78.172251 \n",
       "L 87.44841 77.417959 \n",
       "L 86.680139 76.722507 \n",
       "L 85.859042 76.090293 \n",
       "L 84.990312 75.525314 \n",
       "L 84.07944 75.031142 \n",
       "L 83.132185 74.6109 \n",
       "L 82.154537 74.267247 \n",
       "L 81.152675 74.002354 \n",
       "L 80.132935 73.817897 \n",
       "L 79.101764 73.715042 \n",
       "L 78.06568 73.694438 \n",
       "L 77.031234 73.756217 \n",
       "L 76.004967 73.899987 \n",
       "L 74.993367 74.124839 \n",
       "L 74.002829 74.429353 \n",
       "L 73.039615 74.811602 \n",
       "L 72.109817 75.269171 \n",
       "L 71.219312 75.799166 \n",
       "L 70.37373 76.398236 \n",
       "L 69.578417 77.062594 \n",
       "L 68.838401 77.78804 \n",
       "L 68.158362 78.569986 \n",
       "L 67.542598 79.403491 \n",
       "L 66.995003 80.283282 \n",
       "L 66.519038 81.2038 \n",
       "L 66.117714 82.159222 \n",
       "L 65.793566 83.14351 \n",
       "L 65.548645 84.15044 \n",
       "L 65.384499 85.173646 \n",
       "L 65.302166 86.206659 \n",
       "L 65.302166 87.242947 \n",
       "L 65.384499 88.27596 \n",
       "L 65.548645 89.299166 \n",
       "L 65.793566 90.306096 \n",
       "L 66.117714 91.290384 \n",
       "L 66.519038 92.245807 \n",
       "L 66.995003 93.166324 \n",
       "L 67.542598 94.046116 \n",
       "L 68.158362 94.87962 \n",
       "L 68.838401 95.661567 \n",
       "L 69.578417 96.387012 \n",
       "L 70.37373 97.05137 \n",
       "L 71.219312 97.65044 \n",
       "L 72.109817 98.180435 \n",
       "L 73.039615 98.638004 \n",
       "L 74.002829 99.020253 \n",
       "L 74.993367 99.324767 \n",
       "L 76.004967 99.54962 \n",
       "L 77.031234 99.69339 \n",
       "L 78.06568 99.755168 \n",
       "L 79.101764 99.734565 \n",
       "L 80.132935 99.631709 \n",
       "L 81.152675 99.447252 \n",
       "L 82.154537 99.182359 \n",
       "L 83.132185 98.838706 \n",
       "L 84.07944 98.418465 \n",
       "L 84.990312 97.924292 \n",
       "L 85.859042 97.359313 \n",
       "L 86.680139 96.727099 \n",
       "L 87.44841 96.031647 \n",
       "L 88.159 95.277355 \n",
       "L 88.807414 94.46899 \n",
       "L 89.389554 93.611665 \n",
       "L 89.901738 92.710798 \n",
       "L 90.34073 91.772086 \n",
       "L 90.703753 90.801463 \n",
       "L 90.988513 89.805066 \n",
       "L 91.193208 88.789195 \n",
       "L 91.316545 87.760273 \n",
       "L 91.357744 86.724803 \n",
       "\" clip-path=\"url(#pb667272674)\" style=\"fill: #ffa500; stroke-dasharray: 0,0; stroke-dashoffset: 0\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 91.357744 254.075197 \n",
       "L 91.316545 253.039727 \n",
       "L 91.193208 252.010805 \n",
       "L 90.988513 250.994934 \n",
       "L 90.703753 249.998537 \n",
       "L 90.34073 249.027914 \n",
       "L 89.901738 248.089202 \n",
       "L 89.389554 247.188335 \n",
       "L 88.807414 246.33101 \n",
       "L 88.159 245.522645 \n",
       "L 87.44841 244.768353 \n",
       "L 86.680139 244.072901 \n",
       "L 85.859042 243.440687 \n",
       "L 84.990312 242.875708 \n",
       "L 84.07944 242.381535 \n",
       "L 83.132185 241.961294 \n",
       "L 82.154537 241.617641 \n",
       "L 81.152675 241.352748 \n",
       "L 80.132935 241.168291 \n",
       "L 79.101764 241.065435 \n",
       "L 78.06568 241.044832 \n",
       "L 77.031234 241.10661 \n",
       "L 76.004967 241.25038 \n",
       "L 74.993367 241.475233 \n",
       "L 74.002829 241.779747 \n",
       "L 73.039615 242.161996 \n",
       "L 72.109817 242.619565 \n",
       "L 71.219312 243.14956 \n",
       "L 70.37373 243.74863 \n",
       "L 69.578417 244.412988 \n",
       "L 68.838401 245.138433 \n",
       "L 68.158362 245.92038 \n",
       "L 67.542598 246.753884 \n",
       "L 66.995003 247.633676 \n",
       "L 66.519038 248.554193 \n",
       "L 66.117714 249.509616 \n",
       "L 65.793566 250.493904 \n",
       "L 65.548645 251.500834 \n",
       "L 65.384499 252.52404 \n",
       "L 65.302166 253.557053 \n",
       "L 65.302166 254.593341 \n",
       "L 65.384499 255.626354 \n",
       "L 65.548645 256.64956 \n",
       "L 65.793566 257.65649 \n",
       "L 66.117714 258.640778 \n",
       "L 66.519038 259.5962 \n",
       "L 66.995003 260.516718 \n",
       "L 67.542598 261.396509 \n",
       "L 68.158362 262.230014 \n",
       "L 68.838401 263.01196 \n",
       "L 69.578417 263.737406 \n",
       "L 70.37373 264.401764 \n",
       "L 71.219312 265.000834 \n",
       "L 72.109817 265.530829 \n",
       "L 73.039615 265.988398 \n",
       "L 74.002829 266.370647 \n",
       "L 74.993367 266.675161 \n",
       "L 76.004967 266.900013 \n",
       "L 77.031234 267.043783 \n",
       "L 78.06568 267.105562 \n",
       "L 79.101764 267.084958 \n",
       "L 80.132935 266.982103 \n",
       "L 81.152675 266.797646 \n",
       "L 82.154537 266.532753 \n",
       "L 83.132185 266.1891 \n",
       "L 84.07944 265.768858 \n",
       "L 84.990312 265.274686 \n",
       "L 85.859042 264.709707 \n",
       "L 86.680139 264.077493 \n",
       "L 87.44841 263.382041 \n",
       "L 88.159 262.627749 \n",
       "L 88.807414 261.819384 \n",
       "L 89.389554 260.962058 \n",
       "L 89.901738 260.061191 \n",
       "L 90.34073 259.122479 \n",
       "L 90.703753 258.151857 \n",
       "L 90.988513 257.15546 \n",
       "L 91.193208 256.139589 \n",
       "L 91.316545 255.110666 \n",
       "L 91.357744 254.075197 \n",
       "\" clip-path=\"url(#pb667272674)\" style=\"fill: #40e0d0; stroke-dasharray: 0,0; stroke-dashoffset: 0\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_1\">\n",
       "    <defs>\n",
       "     <path id=\"m1461aefbf5\" d=\"M 0 0.01 \n",
       "C 0.002652 0.01 0.005196 0.008946 0.007071 0.007071 \n",
       "C 0.008946 0.005196 0.01 0.002652 0.01 0 \n",
       "C 0.01 -0.002652 0.008946 -0.005196 0.007071 -0.007071 \n",
       "C 0.005196 -0.008946 0.002652 -0.01 0 -0.01 \n",
       "C -0.002652 -0.01 -0.005196 -0.008946 -0.007071 -0.007071 \n",
       "C -0.008946 -0.005196 -0.01 -0.002652 -0.01 0 \n",
       "C -0.01 0.002652 -0.008946 0.005196 -0.007071 0.007071 \n",
       "C -0.005196 0.008946 -0.002652 0.01 0 0.01 \n",
       "z\n",
       "\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#pb667272674)\">\n",
       "     <use xlink:href=\"#m1461aefbf5\" x=\"245.675197\" y=\"170.4\" style=\"fill: #ffa500\"/>\n",
       "     <use xlink:href=\"#m1461aefbf5\" x=\"78.324803\" y=\"86.724803\" style=\"fill: #ffa500\"/>\n",
       "     <use xlink:href=\"#m1461aefbf5\" x=\"78.324803\" y=\"254.075197\" style=\"fill: #ffa500\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 266.320935 168.090242 \n",
       "Q 264.74956 167.50434 263.178185 166.918439 \n",
       "Q 264.589731 166.01288 266.001277 165.10732 \n",
       "z\n",
       "\" style=\"fill: #20b2aa; stroke: #20b2aa; stroke-width: 2.666667; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_7\">\n",
       "    <path d=\"M 91.027264 96.510488 \n",
       "Q 90.221745 95.039557 89.416225 93.568626 \n",
       "Q 91.076282 93.806769 92.736339 94.044912 \n",
       "z\n",
       "\" style=\"fill: #20b2aa; stroke-dasharray: 9.866667,4.266667; stroke-dashoffset: 0; stroke: #20b2aa; stroke-width: 2.666667; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 93.774828 249.784639 \n",
       "Q 92.114772 249.546496 90.454715 249.308353 \n",
       "Q 91.641263 248.123194 92.827812 246.938034 \n",
       "z\n",
       "\" style=\"fill: #20b2aa; stroke-dasharray: 9.866667,4.266667; stroke-dashoffset: 0; stroke: #20b2aa; stroke-width: 2.666667; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 67.436744 74.506744 \n",
       "Q 68.441322 75.849623 69.4459 77.192502 \n",
       "Q 67.76885 77.190437 66.0918 77.188372 \n",
       "z\n",
       "\" style=\"fill: #ffa500; stroke: #ffa500; stroke-width: 4; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_10\">\n",
       "    <path d=\"M 81.581821 238.385236 \n",
       "Q 80.601725 239.746086 79.621629 241.106936 \n",
       "Q 79.121007 239.506349 78.620384 237.905763 \n",
       "z\n",
       "\" style=\"fill: #ffa500; stroke-dasharray: 14.8,6.4; stroke-dashoffset: 0; stroke: #ffa500; stroke-width: 4; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_11\">\n",
       "    <path d=\"M 225.734767 176.441269 \n",
       "Q 227.393746 176.686805 229.052725 176.932342 \n",
       "Q 227.860909 178.112203 226.669092 179.292065 \n",
       "z\n",
       "\" style=\"fill: #40e0d0; stroke-dasharray: 14.8,6.4; stroke-dashoffset: 0; stroke: #40e0d0; stroke-width: 4; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_12\">\n",
       "    <path d=\"M 72.266281 269.276372 \n",
       "Q 73.018211 267.777339 73.770142 266.278306 \n",
       "Q 74.51821 267.77927 75.266278 269.280234 \n",
       "z\n",
       "\" style=\"fill: #40e0d0; stroke: #40e0d0; stroke-width: 4; stroke-linecap: round\"/>\n",
       "   </g>\n",
       "   <g id=\"text_2\">\n",
       "    <!-- $\\beta_1$ -->\n",
       "    <g transform=\"translate(299.401738 173.464199)scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-Oblique-3b2\" d=\"M 872 216 \n",
       "L 572 -1331 \n",
       "L -6 -1331 \n",
       "L 928 3478 \n",
       "Q 1206 4903 2538 4903 \n",
       "Q 3888 4903 3659 3700 \n",
       "Q 3503 2844 2894 2531 \n",
       "Q 3713 2250 3553 1416 \n",
       "Q 3272 -69 1759 -66 \n",
       "Q 1097 -63 872 216 \n",
       "z\n",
       "M 1019 966 \n",
       "Q 1259 422 1875 425 \n",
       "Q 2775 425 2966 1406 \n",
       "Q 3138 2288 1675 2219 \n",
       "L 1778 2750 \n",
       "Q 2909 2731 3106 3750 \n",
       "Q 3241 4438 2509 4434 \n",
       "Q 1691 4434 1503 3459 \n",
       "L 1019 966 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
       "L 1825 531 \n",
       "L 1825 4091 \n",
       "L 703 3866 \n",
       "L 703 4441 \n",
       "L 1819 4666 \n",
       "L 2450 4666 \n",
       "L 2450 531 \n",
       "L 3481 531 \n",
       "L 3481 0 \n",
       "L 794 0 \n",
       "L 794 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-3b2\" transform=\"translate(0 0.390625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-31\" transform=\"translate(63.818359 -16.015625)scale(0.7)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_3\">\n",
       "    <!-- $\\beta_1$ -->\n",
       "    <g transform=\"translate(148.915863 146.330676)scale(0.1 -0.1)\">\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-3b2\" transform=\"translate(0 0.390625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-31\" transform=\"translate(63.818359 -16.015625)scale(0.7)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_4\">\n",
       "    <!-- $\\beta_1$ -->\n",
       "    <g transform=\"translate(163.884137 230.005873)scale(0.1 -0.1)\">\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-3b2\" transform=\"translate(0 0.390625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-31\" transform=\"translate(63.818359 -16.015625)scale(0.7)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_5\">\n",
       "    <!-- $\\beta_2$ -->\n",
       "    <g transform=\"translate(48.761165 55.01455)scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-32\" d=\"M 1228 531 \n",
       "L 3431 531 \n",
       "L 3431 0 \n",
       "L 469 0 \n",
       "L 469 531 \n",
       "Q 828 903 1448 1529 \n",
       "Q 2069 2156 2228 2338 \n",
       "Q 2531 2678 2651 2914 \n",
       "Q 2772 3150 2772 3378 \n",
       "Q 2772 3750 2511 3984 \n",
       "Q 2250 4219 1831 4219 \n",
       "Q 1534 4219 1204 4116 \n",
       "Q 875 4013 500 3803 \n",
       "L 500 4441 \n",
       "Q 881 4594 1212 4672 \n",
       "Q 1544 4750 1819 4750 \n",
       "Q 2544 4750 2975 4387 \n",
       "Q 3406 4025 3406 3419 \n",
       "Q 3406 3131 3298 2873 \n",
       "Q 3191 2616 2906 2266 \n",
       "Q 2828 2175 2409 1742 \n",
       "Q 1991 1309 1228 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-3b2\" transform=\"translate(0 0.390625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-32\" transform=\"translate(63.818359 -16.015625)scale(0.7)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_6\">\n",
       "    <!-- $\\beta_2$ -->\n",
       "    <g transform=\"translate(89.459843 173.2)scale(0.1 -0.1)\">\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-3b2\" transform=\"translate(0 0.390625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-32\" transform=\"translate(63.818359 -16.015625)scale(0.7)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_7\">\n",
       "    <!-- $\\beta_3$ -->\n",
       "    <g transform=\"translate(148.915863 200.069324)scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-33\" d=\"M 2597 2516 \n",
       "Q 3050 2419 3304 2112 \n",
       "Q 3559 1806 3559 1356 \n",
       "Q 3559 666 3084 287 \n",
       "Q 2609 -91 1734 -91 \n",
       "Q 1441 -91 1130 -33 \n",
       "Q 819 25 488 141 \n",
       "L 488 750 \n",
       "Q 750 597 1062 519 \n",
       "Q 1375 441 1716 441 \n",
       "Q 2309 441 2620 675 \n",
       "Q 2931 909 2931 1356 \n",
       "Q 2931 1769 2642 2001 \n",
       "Q 2353 2234 1838 2234 \n",
       "L 1294 2234 \n",
       "L 1294 2753 \n",
       "L 1863 2753 \n",
       "Q 2328 2753 2575 2939 \n",
       "Q 2822 3125 2822 3475 \n",
       "Q 2822 3834 2567 4026 \n",
       "Q 2313 4219 1838 4219 \n",
       "Q 1578 4219 1281 4162 \n",
       "Q 984 4106 628 3988 \n",
       "L 628 4550 \n",
       "Q 988 4650 1302 4700 \n",
       "Q 1616 4750 1894 4750 \n",
       "Q 2613 4750 3031 4423 \n",
       "Q 3450 4097 3450 3541 \n",
       "Q 3450 3153 3228 2886 \n",
       "Q 3006 2619 2597 2516 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-3b2\" transform=\"translate(0 0.390625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-33\" transform=\"translate(63.818359 -16.015625)scale(0.7)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_8\">\n",
       "    <!-- $\\beta_3$ -->\n",
       "    <g transform=\"translate(52.574658 293.742067)scale(0.1 -0.1)\">\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-3b2\" transform=\"translate(0 0.390625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-33\" transform=\"translate(63.818359 -16.015625)scale(0.7)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_9\">\n",
       "    <!-- $\\alpha_1$ -->\n",
       "    <g transform=\"translate(239.975197 173.159375)scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-Oblique-3b1\" d=\"M 2619 1628 \n",
       "L 2622 2350 \n",
       "Q 2625 3088 2069 3091 \n",
       "Q 1653 3094 1394 2747 \n",
       "Q 1069 2319 959 1747 \n",
       "Q 825 1059 994 731 \n",
       "Q 1169 397 1547 397 \n",
       "Q 1966 397 2319 1063 \n",
       "L 2619 1628 \n",
       "z\n",
       "M 2166 3578 \n",
       "Q 3141 3594 3128 2584 \n",
       "Q 3128 2584 3616 3500 \n",
       "L 4128 3500 \n",
       "L 3119 1603 \n",
       "L 3109 919 \n",
       "Q 3109 766 3194 638 \n",
       "Q 3291 488 3391 488 \n",
       "L 3669 488 \n",
       "L 3575 0 \n",
       "L 3228 0 \n",
       "Q 2934 0 2722 263 \n",
       "Q 2622 394 2619 669 \n",
       "Q 2416 334 2066 50 \n",
       "Q 1900 -81 1453 -78 \n",
       "Q 722 -72 456 397 \n",
       "Q 184 884 353 1747 \n",
       "Q 534 2675 1009 3097 \n",
       "Q 1544 3569 2166 3578 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-3b1\" transform=\"translate(0 0.84375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-31\" transform=\"translate(65.917969 -15.5625)scale(0.7)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_10\">\n",
       "    <!-- $\\alpha_2$ -->\n",
       "    <g transform=\"translate(72.624803 89.484178)scale(0.1 -0.1)\">\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-3b1\" transform=\"translate(0 0.84375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-32\" transform=\"translate(65.917969 -15.5625)scale(0.7)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_11\">\n",
       "    <!-- $\\alpha_3$ -->\n",
       "    <g transform=\"translate(72.624803 256.834572)scale(0.1 -0.1)\">\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-3b1\" transform=\"translate(0 0.84375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-33\" transform=\"translate(65.917969 -15.5625)scale(0.7)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"pb667272674\">\n",
       "   <rect x=\"11.384646\" y=\"19.784646\" width=\"301.230709\" height=\"301.230709\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Generating simple Digraphs with self-loops and own adjacency matrix, visualizing in GraphRecipes.jl\n",
    "# can always check out if you like the looks of gr or pyplot backends better, both support latex labels\n",
    "# gr(html_output_format=:svg) # changes output to svg for sharper images, but can't be copy-pasted like png files, takes arrowheads to menacing spikes\n",
    "pyplot(html_output_format=:svg) # changes output to svg for sharper images, but can't be copy-pasted like png files, takes arrowheads to cute triangles\n",
    "adjm = [1 1 1; 0 1 1; 1 0 1]\n",
    "# adjm = ceil.(rand(3,3))\n",
    "p = SimpleDiGraph{UInt64}(adjm)\n",
    "\n",
    "# scale nodesize by outdegree\n",
    "node_size_weighting = [Graphs.outdegree(p, v) for v in Graphs.vertices(p)]\n",
    "\n",
    "# node and edge labeling and coloring\n",
    "nodelabel = [L\"\\alpha_%$(i)\" for i in 1:nv(p)]\n",
    "membership = [1,2,3]\n",
    "nodecolor = [colorant\"lightseagreen\", colorant\"orange\", colorant\"turquoise\"]\n",
    "nodefillc = nodecolor[membership]\n",
    "linestyle_choices = [:solid, :dash, :dot]\n",
    "\n",
    "# iterators for all edges, color edges based on source node and give some different linestyles to the edges depending on if in, out, or self\n",
    "# split the weight of the lines across all out vertices in a node\n",
    "edgelabels = Dict{Tuple{UInt64, UInt64},LaTeXString}()\n",
    "edgecolors = Dict{Tuple{UInt64, UInt64},Any}()\n",
    "edgestyles = Dict{Tuple{UInt64, UInt64},Symbol}()\n",
    "edgeweights = Dict{Tuple{UInt64, UInt64},Float64}()\n",
    "for edge in edges(p)\n",
    "    edgelabels[(edge.src, edge.dst)] = L\"\\beta_%$(edge.src)\"\n",
    "    edgecolors[(edge.src, edge.dst)] = nodecolor[edge.src]\n",
    "    edgestyles[(edge.src, edge.dst)] = linestyle_choices[ifelse(edge.src == edge.dst, 1, 2)]\n",
    "    edgeweights[(edge.src, edge.dst)] = 8 / node_size_weighting[edge.src]\n",
    "end\n",
    "\n",
    "# all \"node...\" attributes are direct replacements for many \"marker...\" series attributes, as well as all \"edge...\" attributes are direct replacement for many \"line...\" series attributes\n",
    "# see more at https://docs.juliaplots.org/stable/generated/graph_attributes/\n",
    "# plotting attributes are arranged in following order: basic layout and plotting details, node details, edge details\n",
    "digraph_p = graphplot(\n",
    "    p,\n",
    "    dim = 2, # dimensionality of plot, 3 actually looks like shit b/c you are viewing everything in 2-D\n",
    "    title = \"GraphRecipes.jl Digraph w/ Self-Loops\", # plot title\n",
    "    fontsize = 10, # fontsize for all labels in figure, kind of rotates them...\n",
    "    size = (450,450), # size of plot in pixels\n",
    "#     root = :top, # only relevant for tree diagrams, where you want the primal node placed\n",
    "    method = :shell, # controls layout of graph, from  `:spectral`, `:sfdp`, `:circular`, `:shell`, `:stress`, `:spring`, `:tree`, `:buchheim`, `:arcdiagram` or `:chorddiagram`\n",
    "    axis_buffer = 0.4, # increase if self-edges are sitting outside of plotting window, like an overpowered control on margins\n",
    "    \n",
    "    names = nodelabel, # nodelabels, unfortunately using latex rescaled the nodesizes, need to shrink them further\n",
    "    nodeshape=[:circle,:circle,:circle], # nodeshape, choose from :circle, :ellipse, :hexagon, :rectangle, ellipse/rect sucks for self-edges\n",
    "    nodesize = 0.02, # upper bound on the size of the largest node, rescaling to node_weights done based on this quantity\n",
    "    node_weights = node_size_weighting, # can use outdegree to scale the size of the nodes in proportion to each other and network influence\n",
    "    nodecolor = nodefillc, # color nodes by their membership\n",
    "    nodestrokewidth = [0.0,0.0,0.0], # eliminates little black dots in centers of nodes\n",
    "    nodestrokealpha = [0.5,0.5,0.5], # see code snippet below, all \"marker\" attributes from plots.jl are transformed into \"node\" attributes, but since \n",
    "    nodestrokecolor = \"black\", # if nodestrokewidth not equal to 0, this changes the node outline color\n",
    "    nodealpha = [1.0,1.0,1.0], # transparency of node color, don't modify it b/c bugs will come out ;),\n",
    "    nodestrokestyle = :dash, # change style of outline of node, can have :solid, :dash, :dot, :dashdot\n",
    "    trim = false, # if true, removes some nodes if the graph is densely populated\n",
    "    \n",
    "    edgewidth = edgeweights, # edgeweights in the form of a dict, (edge.src, edge.dst) => Float64 (a fontsize, specifically)\n",
    "    edgecolor = edgecolors, # edgecolors in the form of a dict, (edge.src, edge.dst) => Any (a colorant value, specifically)\n",
    "    edgestyle = edgestyles, # change the style of the edges as drawn, can have :solid, :dash, :dot, :dashdot\n",
    "    edgelabel = edgelabels, # edgelabels in the form of a dict, (edge.src, edge.dst) => LaTeXString\n",
    "    edge_label_box = false, # turns off creating a box around the labels along the edges, if false labels appear coincident with edges\n",
    "    edgelabel_offset = 0.05, # edge label offset out and away from the strongest curvature point along the edge\n",
    "    curves = true, # false puts straight lines, undesired if loops exist!\n",
    "    curvature_scalar = 0.05, # degree of curvature in lines\n",
    "    self_edge_size = 0.2, # adjust as a ratio of the typical non-self-edge line length, just shorten as much as possible to fit within plot window\n",
    "    shorten = 0.0, # an amount to shorten edges by, not useful because disconnects them from sources, useful only if nodealpha<1.0 and you reveal source lines from actual node centers\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "7d9e110d",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Primitive operators:\n"
     ]
    },
    {
     "data": {
      "text/latex": [
       "$\\textsf{d}(\\mathbf{XY})\\to(\\textsf{d}\\mathbf{X})\\mathbf{Y}+\\mathbf{X}(\\textsf{d}\\mathbf{Y})$"
      ],
      "text/plain": [
       "L\"$\\textsf{d}(\\mathbf{XY})\\to(\\textsf{d}\\mathbf{X})\\mathbf{Y}+\\mathbf{X}(\\textsf{d}\\mathbf{Y})$\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\textsf{d}(\\mathbf{X}+\\mathbf{Y})\\to\\textsf{d}\\mathbf{X}+\\textsf{d}\\mathbf{Y}$"
      ],
      "text/plain": [
       "L\"$\\textsf{d}(\\mathbf{X}+\\mathbf{Y})\\to\\textsf{d}\\mathbf{X}+\\textsf{d}\\mathbf{Y}$\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\textsf{d}(\\mathbf{X}^{-1})\\to-\\mathbf{X}^{-1}(\\textsf{d}\\mathbf{X})\\mathbf{X}^{-1}$"
      ],
      "text/plain": [
       "L\"$\\textsf{d}(\\mathbf{X}^{-1})\\to-\\mathbf{X}^{-1}(\\textsf{d}\\mathbf{X})\\mathbf{X}^{-1}$\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\textsf{d}(\\mathsf{tr}\\mathbf{X})\\to\\mathsf{tr}(\\textsf{d}\\mathbf{X})$"
      ],
      "text/plain": [
       "L\"$\\textsf{d}(\\mathsf{tr}\\mathbf{X})\\to\\mathsf{tr}(\\textsf{d}\\mathbf{X})$\""
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/svg+xml": [
       "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n",
       "<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n",
       "  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n",
       "<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"720pt\" height=\"720pt\" viewBox=\"0 0 720 720\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n",
       " <metadata>\n",
       "  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n",
       "   <cc:Work>\n",
       "    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n",
       "    <dc:date>2023-05-14T21:28:43.665701</dc:date>\n",
       "    <dc:format>image/svg+xml</dc:format>\n",
       "    <dc:creator>\n",
       "     <cc:Agent>\n",
       "      <dc:title>Matplotlib v3.5.3, https://matplotlib.org/</dc:title>\n",
       "     </cc:Agent>\n",
       "    </dc:creator>\n",
       "   </cc:Work>\n",
       "  </rdf:RDF>\n",
       " </metadata>\n",
       " <defs>\n",
       "  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n",
       " </defs>\n",
       " <g id=\"figure_1\">\n",
       "  <g id=\"patch_1\">\n",
       "   <path d=\"M 0 720 \n",
       "L 720 720 \n",
       "L 720 0 \n",
       "L 0 0 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "  </g>\n",
       "  <g id=\"axes_1\">\n",
       "   <g id=\"patch_2\">\n",
       "    <path d=\"M 11.234646 717.165354 \n",
       "L 708.765354 717.165354 \n",
       "L 708.765354 19.634646 \n",
       "L 11.234646 19.634646 \n",
       "z\n",
       "\" style=\"fill: #ffffff\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_1\">\n",
       "    <path d=\"M 609.11811 120.163044 \n",
       "L 605.502793 124.089684 \n",
       "L 601.887476 128.016324 \n",
       "L 598.272159 131.942964 \n",
       "L 594.656842 135.869605 \n",
       "L 591.041524 139.796245 \n",
       "L 587.426207 143.722885 \n",
       "L 583.81089 147.649525 \n",
       "L 580.195573 151.576165 \n",
       "L 576.580256 155.502805 \n",
       "L 572.964939 159.429446 \n",
       "L 569.349621 163.356086 \n",
       "L 565.734304 167.282726 \n",
       "L 562.118987 171.209366 \n",
       "L 558.50367 175.136006 \n",
       "L 554.888353 179.062647 \n",
       "L 551.273036 182.989287 \n",
       "L 547.657718 186.915927 \n",
       "L 544.042401 190.842567 \n",
       "L 540.427084 194.769207 \n",
       "L 536.811767 198.695847 \n",
       "L 533.19645 202.622488 \n",
       "L 529.581133 206.549128 \n",
       "L 525.965815 210.475768 \n",
       "L 522.350498 214.402408 \n",
       "L 518.735181 218.329048 \n",
       "L 515.119864 222.255688 \n",
       "L 511.504547 226.182329 \n",
       "L 507.889229 230.108969 \n",
       "L 504.273912 234.035609 \n",
       "\" clip-path=\"url(#p24a211a0e7)\" style=\"fill: none; stroke: #000000\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_1\">\n",
       "    <g id=\"xtick_1\"/>\n",
       "    <g id=\"xtick_2\"/>\n",
       "    <g id=\"xtick_3\"/>\n",
       "    <g id=\"xtick_4\"/>\n",
       "    <g id=\"xtick_5\"/>\n",
       "    <g id=\"xtick_6\"/>\n",
       "    <g id=\"xtick_7\"/>\n",
       "   </g>\n",
       "   <g id=\"matplotlib.axis_2\">\n",
       "    <g id=\"ytick_1\"/>\n",
       "    <g id=\"ytick_2\"/>\n",
       "    <g id=\"ytick_3\"/>\n",
       "    <g id=\"ytick_4\"/>\n",
       "    <g id=\"ytick_5\"/>\n",
       "    <g id=\"ytick_6\"/>\n",
       "    <g id=\"ytick_7\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_2\">\n",
       "    <path d=\"M 488.852443 119.28189 \n",
       "L 489.384218 123.238915 \n",
       "L 489.915993 127.195939 \n",
       "L 490.447767 131.152964 \n",
       "L 490.979542 135.109989 \n",
       "L 491.511317 139.067014 \n",
       "L 492.043092 143.024039 \n",
       "L 492.574867 146.981063 \n",
       "L 493.106641 150.938088 \n",
       "L 493.638416 154.895113 \n",
       "L 494.170191 158.852138 \n",
       "L 494.701966 162.809163 \n",
       "L 495.233741 166.766187 \n",
       "L 495.765515 170.723212 \n",
       "L 496.29729 174.680237 \n",
       "L 496.829065 178.637262 \n",
       "L 497.36084 182.594287 \n",
       "L 497.892615 186.551311 \n",
       "L 498.424389 190.508336 \n",
       "L 498.956164 194.465361 \n",
       "L 499.487939 198.422386 \n",
       "L 500.019714 202.379411 \n",
       "L 500.551489 206.336435 \n",
       "L 501.083263 210.29346 \n",
       "L 501.615038 214.250485 \n",
       "L 502.146813 218.20751 \n",
       "L 502.678588 222.164535 \n",
       "L 503.210363 226.121559 \n",
       "L 503.742138 230.078584 \n",
       "L 504.273912 234.035609 \n",
       "\" clip-path=\"url(#p24a211a0e7)\" style=\"fill: none; stroke: #000000\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_3\">\n",
       "    <path d=\"M 110.88189 129.380702 \n",
       "L 115.516868 132.275521 \n",
       "L 120.151845 135.170339 \n",
       "L 124.786823 138.065157 \n",
       "L 129.421801 140.959975 \n",
       "L 134.056779 143.854794 \n",
       "L 138.691756 146.749612 \n",
       "L 143.326734 149.64443 \n",
       "L 147.961712 152.539249 \n",
       "L 152.59669 155.434067 \n",
       "L 157.231668 158.328885 \n",
       "L 161.866645 161.223704 \n",
       "L 166.501623 164.118522 \n",
       "L 171.136601 167.01334 \n",
       "L 175.771579 169.908158 \n",
       "L 180.406557 172.802977 \n",
       "L 185.041534 175.697795 \n",
       "L 189.676512 178.592613 \n",
       "L 194.31149 181.487432 \n",
       "L 198.946468 184.38225 \n",
       "L 203.581446 187.277068 \n",
       "L 208.216423 190.171887 \n",
       "L 212.851401 193.066705 \n",
       "L 217.486379 195.961523 \n",
       "L 222.121357 198.856341 \n",
       "L 226.756334 201.75116 \n",
       "L 231.391312 204.645978 \n",
       "L 236.02629 207.540796 \n",
       "L 240.661268 210.435615 \n",
       "L 245.296246 213.330433 \n",
       "\" clip-path=\"url(#p24a211a0e7)\" style=\"fill: none; stroke: #000000\"/>\n",
       "   </g>\n",
       "   <g id=\"text_1\">\n",
       "    <!-- Problem 1 Computational Graph -->\n",
       "    <g transform=\"translate(247.23875 13.634646)scale(0.14 -0.14)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-50\" d=\"M 1259 4147 \n",
       "L 1259 2394 \n",
       "L 2053 2394 \n",
       "Q 2494 2394 2734 2622 \n",
       "Q 2975 2850 2975 3272 \n",
       "Q 2975 3691 2734 3919 \n",
       "Q 2494 4147 2053 4147 \n",
       "L 1259 4147 \n",
       "z\n",
       "M 628 4666 \n",
       "L 2053 4666 \n",
       "Q 2838 4666 3239 4311 \n",
       "Q 3641 3956 3641 3272 \n",
       "Q 3641 2581 3239 2228 \n",
       "Q 2838 1875 2053 1875 \n",
       "L 1259 1875 \n",
       "L 1259 0 \n",
       "L 628 0 \n",
       "L 628 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-72\" d=\"M 2631 2963 \n",
       "Q 2534 3019 2420 3045 \n",
       "Q 2306 3072 2169 3072 \n",
       "Q 1681 3072 1420 2755 \n",
       "Q 1159 2438 1159 1844 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2956 \n",
       "Q 1341 3275 1631 3429 \n",
       "Q 1922 3584 2338 3584 \n",
       "Q 2397 3584 2469 3576 \n",
       "Q 2541 3569 2628 3553 \n",
       "L 2631 2963 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-6f\" d=\"M 1959 3097 \n",
       "Q 1497 3097 1228 2736 \n",
       "Q 959 2375 959 1747 \n",
       "Q 959 1119 1226 758 \n",
       "Q 1494 397 1959 397 \n",
       "Q 2419 397 2687 759 \n",
       "Q 2956 1122 2956 1747 \n",
       "Q 2956 2369 2687 2733 \n",
       "Q 2419 3097 1959 3097 \n",
       "z\n",
       "M 1959 3584 \n",
       "Q 2709 3584 3137 3096 \n",
       "Q 3566 2609 3566 1747 \n",
       "Q 3566 888 3137 398 \n",
       "Q 2709 -91 1959 -91 \n",
       "Q 1206 -91 779 398 \n",
       "Q 353 888 353 1747 \n",
       "Q 353 2609 779 3096 \n",
       "Q 1206 3584 1959 3584 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-62\" d=\"M 3116 1747 \n",
       "Q 3116 2381 2855 2742 \n",
       "Q 2594 3103 2138 3103 \n",
       "Q 1681 3103 1420 2742 \n",
       "Q 1159 2381 1159 1747 \n",
       "Q 1159 1113 1420 752 \n",
       "Q 1681 391 2138 391 \n",
       "Q 2594 391 2855 752 \n",
       "Q 3116 1113 3116 1747 \n",
       "z\n",
       "M 1159 2969 \n",
       "Q 1341 3281 1617 3432 \n",
       "Q 1894 3584 2278 3584 \n",
       "Q 2916 3584 3314 3078 \n",
       "Q 3713 2572 3713 1747 \n",
       "Q 3713 922 3314 415 \n",
       "Q 2916 -91 2278 -91 \n",
       "Q 1894 -91 1617 61 \n",
       "Q 1341 213 1159 525 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 4863 \n",
       "L 1159 4863 \n",
       "L 1159 2969 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-6c\" d=\"M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 0 \n",
       "L 603 0 \n",
       "L 603 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-65\" d=\"M 3597 1894 \n",
       "L 3597 1613 \n",
       "L 953 1613 \n",
       "Q 991 1019 1311 708 \n",
       "Q 1631 397 2203 397 \n",
       "Q 2534 397 2845 478 \n",
       "Q 3156 559 3463 722 \n",
       "L 3463 178 \n",
       "Q 3153 47 2828 -22 \n",
       "Q 2503 -91 2169 -91 \n",
       "Q 1331 -91 842 396 \n",
       "Q 353 884 353 1716 \n",
       "Q 353 2575 817 3079 \n",
       "Q 1281 3584 2069 3584 \n",
       "Q 2775 3584 3186 3129 \n",
       "Q 3597 2675 3597 1894 \n",
       "z\n",
       "M 3022 2063 \n",
       "Q 3016 2534 2758 2815 \n",
       "Q 2500 3097 2075 3097 \n",
       "Q 1594 3097 1305 2825 \n",
       "Q 1016 2553 972 2059 \n",
       "L 3022 2063 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-6d\" d=\"M 3328 2828 \n",
       "Q 3544 3216 3844 3400 \n",
       "Q 4144 3584 4550 3584 \n",
       "Q 5097 3584 5394 3201 \n",
       "Q 5691 2819 5691 2113 \n",
       "L 5691 0 \n",
       "L 5113 0 \n",
       "L 5113 2094 \n",
       "Q 5113 2597 4934 2840 \n",
       "Q 4756 3084 4391 3084 \n",
       "Q 3944 3084 3684 2787 \n",
       "Q 3425 2491 3425 1978 \n",
       "L 3425 0 \n",
       "L 2847 0 \n",
       "L 2847 2094 \n",
       "Q 2847 2600 2669 2842 \n",
       "Q 2491 3084 2119 3084 \n",
       "Q 1678 3084 1418 2786 \n",
       "Q 1159 2488 1159 1978 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2956 \n",
       "Q 1356 3278 1631 3431 \n",
       "Q 1906 3584 2284 3584 \n",
       "Q 2666 3584 2933 3390 \n",
       "Q 3200 3197 3328 2828 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-20\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-31\" d=\"M 794 531 \n",
       "L 1825 531 \n",
       "L 1825 4091 \n",
       "L 703 3866 \n",
       "L 703 4441 \n",
       "L 1819 4666 \n",
       "L 2450 4666 \n",
       "L 2450 531 \n",
       "L 3481 531 \n",
       "L 3481 0 \n",
       "L 794 0 \n",
       "L 794 531 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-43\" d=\"M 4122 4306 \n",
       "L 4122 3641 \n",
       "Q 3803 3938 3442 4084 \n",
       "Q 3081 4231 2675 4231 \n",
       "Q 1875 4231 1450 3742 \n",
       "Q 1025 3253 1025 2328 \n",
       "Q 1025 1406 1450 917 \n",
       "Q 1875 428 2675 428 \n",
       "Q 3081 428 3442 575 \n",
       "Q 3803 722 4122 1019 \n",
       "L 4122 359 \n",
       "Q 3791 134 3420 21 \n",
       "Q 3050 -91 2638 -91 \n",
       "Q 1578 -91 968 557 \n",
       "Q 359 1206 359 2328 \n",
       "Q 359 3453 968 4101 \n",
       "Q 1578 4750 2638 4750 \n",
       "Q 3056 4750 3426 4639 \n",
       "Q 3797 4528 4122 4306 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-70\" d=\"M 1159 525 \n",
       "L 1159 -1331 \n",
       "L 581 -1331 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2969 \n",
       "Q 1341 3281 1617 3432 \n",
       "Q 1894 3584 2278 3584 \n",
       "Q 2916 3584 3314 3078 \n",
       "Q 3713 2572 3713 1747 \n",
       "Q 3713 922 3314 415 \n",
       "Q 2916 -91 2278 -91 \n",
       "Q 1894 -91 1617 61 \n",
       "Q 1341 213 1159 525 \n",
       "z\n",
       "M 3116 1747 \n",
       "Q 3116 2381 2855 2742 \n",
       "Q 2594 3103 2138 3103 \n",
       "Q 1681 3103 1420 2742 \n",
       "Q 1159 2381 1159 1747 \n",
       "Q 1159 1113 1420 752 \n",
       "Q 1681 391 2138 391 \n",
       "Q 2594 391 2855 752 \n",
       "Q 3116 1113 3116 1747 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-75\" d=\"M 544 1381 \n",
       "L 544 3500 \n",
       "L 1119 3500 \n",
       "L 1119 1403 \n",
       "Q 1119 906 1312 657 \n",
       "Q 1506 409 1894 409 \n",
       "Q 2359 409 2629 706 \n",
       "Q 2900 1003 2900 1516 \n",
       "L 2900 3500 \n",
       "L 3475 3500 \n",
       "L 3475 0 \n",
       "L 2900 0 \n",
       "L 2900 538 \n",
       "Q 2691 219 2414 64 \n",
       "Q 2138 -91 1772 -91 \n",
       "Q 1169 -91 856 284 \n",
       "Q 544 659 544 1381 \n",
       "z\n",
       "M 1991 3584 \n",
       "L 1991 3584 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-74\" d=\"M 1172 4494 \n",
       "L 1172 3500 \n",
       "L 2356 3500 \n",
       "L 2356 3053 \n",
       "L 1172 3053 \n",
       "L 1172 1153 \n",
       "Q 1172 725 1289 603 \n",
       "Q 1406 481 1766 481 \n",
       "L 2356 481 \n",
       "L 2356 0 \n",
       "L 1766 0 \n",
       "Q 1100 0 847 248 \n",
       "Q 594 497 594 1153 \n",
       "L 594 3053 \n",
       "L 172 3053 \n",
       "L 172 3500 \n",
       "L 594 3500 \n",
       "L 594 4494 \n",
       "L 1172 4494 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-61\" d=\"M 2194 1759 \n",
       "Q 1497 1759 1228 1600 \n",
       "Q 959 1441 959 1056 \n",
       "Q 959 750 1161 570 \n",
       "Q 1363 391 1709 391 \n",
       "Q 2188 391 2477 730 \n",
       "Q 2766 1069 2766 1631 \n",
       "L 2766 1759 \n",
       "L 2194 1759 \n",
       "z\n",
       "M 3341 1997 \n",
       "L 3341 0 \n",
       "L 2766 0 \n",
       "L 2766 531 \n",
       "Q 2569 213 2275 61 \n",
       "Q 1981 -91 1556 -91 \n",
       "Q 1019 -91 701 211 \n",
       "Q 384 513 384 1019 \n",
       "Q 384 1609 779 1909 \n",
       "Q 1175 2209 1959 2209 \n",
       "L 2766 2209 \n",
       "L 2766 2266 \n",
       "Q 2766 2663 2505 2880 \n",
       "Q 2244 3097 1772 3097 \n",
       "Q 1472 3097 1187 3025 \n",
       "Q 903 2953 641 2809 \n",
       "L 641 3341 \n",
       "Q 956 3463 1253 3523 \n",
       "Q 1550 3584 1831 3584 \n",
       "Q 2591 3584 2966 3190 \n",
       "Q 3341 2797 3341 1997 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-69\" d=\"M 603 3500 \n",
       "L 1178 3500 \n",
       "L 1178 0 \n",
       "L 603 0 \n",
       "L 603 3500 \n",
       "z\n",
       "M 603 4863 \n",
       "L 1178 4863 \n",
       "L 1178 4134 \n",
       "L 603 4134 \n",
       "L 603 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-6e\" d=\"M 3513 2113 \n",
       "L 3513 0 \n",
       "L 2938 0 \n",
       "L 2938 2094 \n",
       "Q 2938 2591 2744 2837 \n",
       "Q 2550 3084 2163 3084 \n",
       "Q 1697 3084 1428 2787 \n",
       "Q 1159 2491 1159 1978 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 3500 \n",
       "L 1159 3500 \n",
       "L 1159 2956 \n",
       "Q 1366 3272 1645 3428 \n",
       "Q 1925 3584 2291 3584 \n",
       "Q 2894 3584 3203 3211 \n",
       "Q 3513 2838 3513 2113 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-47\" d=\"M 3809 666 \n",
       "L 3809 1919 \n",
       "L 2778 1919 \n",
       "L 2778 2438 \n",
       "L 4434 2438 \n",
       "L 4434 434 \n",
       "Q 4069 175 3628 42 \n",
       "Q 3188 -91 2688 -91 \n",
       "Q 1594 -91 976 548 \n",
       "Q 359 1188 359 2328 \n",
       "Q 359 3472 976 4111 \n",
       "Q 1594 4750 2688 4750 \n",
       "Q 3144 4750 3555 4637 \n",
       "Q 3966 4525 4313 4306 \n",
       "L 4313 3634 \n",
       "Q 3963 3931 3569 4081 \n",
       "Q 3175 4231 2741 4231 \n",
       "Q 1884 4231 1454 3753 \n",
       "Q 1025 3275 1025 2328 \n",
       "Q 1025 1384 1454 906 \n",
       "Q 1884 428 2741 428 \n",
       "Q 3075 428 3337 486 \n",
       "Q 3600 544 3809 666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-68\" d=\"M 3513 2113 \n",
       "L 3513 0 \n",
       "L 2938 0 \n",
       "L 2938 2094 \n",
       "Q 2938 2591 2744 2837 \n",
       "Q 2550 3084 2163 3084 \n",
       "Q 1697 3084 1428 2787 \n",
       "Q 1159 2491 1159 1978 \n",
       "L 1159 0 \n",
       "L 581 0 \n",
       "L 581 4863 \n",
       "L 1159 4863 \n",
       "L 1159 2956 \n",
       "Q 1366 3272 1645 3428 \n",
       "Q 1925 3584 2291 3584 \n",
       "Q 2894 3584 3203 3211 \n",
       "Q 3513 2838 3513 2113 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-50\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-72\" x=\"58.552734\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-6f\" x=\"97.416016\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-62\" x=\"158.597656\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-6c\" x=\"222.074219\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-65\" x=\"249.857422\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-6d\" x=\"311.380859\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-20\" x=\"408.792969\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-31\" x=\"440.580078\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-20\" x=\"504.203125\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-43\" x=\"535.990234\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-6f\" x=\"605.814453\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-6d\" x=\"666.996094\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-70\" x=\"764.408203\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-75\" x=\"827.884766\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-74\" x=\"891.263672\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-61\" x=\"930.472656\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-74\" x=\"991.751953\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-69\" x=\"1030.960938\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-6f\" x=\"1058.744141\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-6e\" x=\"1119.925781\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-61\" x=\"1183.304688\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-6c\" x=\"1244.583984\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-20\" x=\"1272.367188\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-47\" x=\"1304.154297\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-72\" x=\"1381.644531\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-61\" x=\"1422.757812\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-70\" x=\"1484.037109\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-68\" x=\"1547.513672\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"line2d_4\">\n",
       "    <path d=\"M 199.700126 145.03692 \n",
       "L 201.272406 147.391868 \n",
       "L 202.844686 149.746817 \n",
       "L 204.416966 152.101766 \n",
       "L 205.989246 154.456715 \n",
       "L 207.561526 156.811663 \n",
       "L 209.133806 159.166612 \n",
       "L 210.706086 161.521561 \n",
       "L 212.278366 163.876509 \n",
       "L 213.850646 166.231458 \n",
       "L 215.422926 168.586407 \n",
       "L 216.995206 170.941356 \n",
       "L 218.567486 173.296304 \n",
       "L 220.139766 175.651253 \n",
       "L 221.712046 178.006202 \n",
       "L 223.284326 180.361151 \n",
       "L 224.856606 182.716099 \n",
       "L 226.428886 185.071048 \n",
       "L 228.001166 187.425997 \n",
       "L 229.573446 189.780946 \n",
       "L 231.145726 192.135894 \n",
       "L 232.718006 194.490843 \n",
       "L 234.290286 196.845792 \n",
       "L 235.862566 199.20074 \n",
       "L 237.434846 201.555689 \n",
       "L 239.007126 203.910638 \n",
       "L 240.579406 206.265587 \n",
       "L 242.151686 208.620535 \n",
       "L 243.723966 210.975484 \n",
       "L 245.296246 213.330433 \n",
       "\" clip-path=\"url(#p24a211a0e7)\" style=\"fill: none; stroke: #000000\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_5\">\n",
       "    <path d=\"M 504.273912 234.035609 \n",
       "L 499.325629 236.97567 \n",
       "L 494.377347 239.91573 \n",
       "L 489.429064 242.855791 \n",
       "L 484.480781 245.795851 \n",
       "L 479.532498 248.735912 \n",
       "L 474.584215 251.675972 \n",
       "L 469.635932 254.616033 \n",
       "L 464.68765 257.556094 \n",
       "L 459.739367 260.496154 \n",
       "L 454.791084 263.436215 \n",
       "L 449.842801 266.376275 \n",
       "L 444.894518 269.316336 \n",
       "L 439.946236 272.256396 \n",
       "L 434.997953 275.196457 \n",
       "L 430.04967 278.136518 \n",
       "L 425.101387 281.076578 \n",
       "L 420.153104 284.016639 \n",
       "L 415.204821 286.956699 \n",
       "L 410.256539 289.89676 \n",
       "L 405.308256 292.83682 \n",
       "L 400.359973 295.776881 \n",
       "L 395.41169 298.716942 \n",
       "L 390.463407 301.657002 \n",
       "L 385.515124 304.597063 \n",
       "L 380.566842 307.537123 \n",
       "L 375.618559 310.477184 \n",
       "L 370.670276 313.417244 \n",
       "L 365.721993 316.357305 \n",
       "L 360.77371 319.297366 \n",
       "\" clip-path=\"url(#p24a211a0e7)\" style=\"fill: none; stroke: #000000\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_6\">\n",
       "    <path d=\"M 245.296246 213.330433 \n",
       "L 249.278227 216.984465 \n",
       "L 253.260209 220.638497 \n",
       "L 257.24219 224.292529 \n",
       "L 261.224172 227.946562 \n",
       "L 265.206153 231.600594 \n",
       "L 269.188135 235.254626 \n",
       "L 273.170116 238.908658 \n",
       "L 277.152098 242.56269 \n",
       "L 281.134079 246.216722 \n",
       "L 285.116061 249.870754 \n",
       "L 289.098043 253.524787 \n",
       "L 293.080024 257.178819 \n",
       "L 297.062006 260.832851 \n",
       "L 301.043987 264.486883 \n",
       "L 305.025969 268.140915 \n",
       "L 309.00795 271.794947 \n",
       "L 312.989932 275.44898 \n",
       "L 316.971913 279.103012 \n",
       "L 320.953895 282.757044 \n",
       "L 324.935876 286.411076 \n",
       "L 328.917858 290.065108 \n",
       "L 332.899839 293.71914 \n",
       "L 336.881821 297.373173 \n",
       "L 340.863803 301.027205 \n",
       "L 344.845784 304.681237 \n",
       "L 348.827766 308.335269 \n",
       "L 352.809747 311.989301 \n",
       "L 356.791729 315.643333 \n",
       "L 360.77371 319.297366 \n",
       "\" clip-path=\"url(#p24a211a0e7)\" style=\"fill: none; stroke: #000000\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_7\">\n",
       "    <path d=\"M 360.77371 319.297366 \n",
       "L 362.040039 321.879761 \n",
       "L 363.306368 324.462156 \n",
       "L 364.572697 327.044551 \n",
       "L 365.839026 329.626946 \n",
       "L 367.105355 332.209342 \n",
       "L 368.371683 334.791737 \n",
       "L 369.638012 337.374132 \n",
       "L 370.904341 339.956527 \n",
       "L 372.17067 342.538922 \n",
       "L 373.436999 345.121318 \n",
       "L 374.703328 347.703713 \n",
       "L 375.969657 350.286108 \n",
       "L 377.235985 352.868503 \n",
       "L 378.502314 355.450898 \n",
       "L 379.768643 358.033294 \n",
       "L 381.034972 360.615689 \n",
       "L 382.301301 363.198084 \n",
       "L 383.56763 365.780479 \n",
       "L 384.833959 368.362874 \n",
       "L 386.100288 370.94527 \n",
       "L 387.366616 373.527665 \n",
       "L 388.632945 376.11006 \n",
       "L 389.899274 378.692455 \n",
       "L 391.165603 381.27485 \n",
       "L 392.431932 383.857246 \n",
       "L 393.698261 386.439641 \n",
       "L 394.96459 389.022036 \n",
       "L 396.230919 391.604431 \n",
       "L 397.497247 394.186826 \n",
       "\" clip-path=\"url(#p24a211a0e7)\" style=\"fill: none; stroke: #000000\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_8\">\n",
       "    <path d=\"M 397.497247 394.186826 \n",
       "L 396.869863 397.602512 \n",
       "L 396.242478 401.018198 \n",
       "L 395.615093 404.433884 \n",
       "L 394.987709 407.84957 \n",
       "L 394.360324 411.265256 \n",
       "L 393.732939 414.680942 \n",
       "L 393.105554 418.096628 \n",
       "L 392.47817 421.512314 \n",
       "L 391.850785 424.928 \n",
       "L 391.2234 428.343686 \n",
       "L 390.596016 431.759372 \n",
       "L 389.968631 435.175058 \n",
       "L 389.341246 438.590744 \n",
       "L 388.713861 442.00643 \n",
       "L 388.086477 445.422117 \n",
       "L 387.459092 448.837803 \n",
       "L 386.831707 452.253489 \n",
       "L 386.204323 455.669175 \n",
       "L 385.576938 459.084861 \n",
       "L 384.949553 462.500547 \n",
       "L 384.322168 465.916233 \n",
       "L 383.694784 469.331919 \n",
       "L 383.067399 472.747605 \n",
       "L 382.440014 476.163291 \n",
       "L 381.81263 479.578977 \n",
       "L 381.185245 482.994663 \n",
       "L 380.55786 486.410349 \n",
       "L 379.930475 489.826035 \n",
       "L 379.303091 493.241721 \n",
       "\" clip-path=\"url(#p24a211a0e7)\" style=\"fill: none; stroke: #000000\"/>\n",
       "   </g>\n",
       "   <g id=\"line2d_9\">\n",
       "    <path d=\"M 379.303091 493.241721 \n",
       "L 379.316031 497.527113 \n",
       "L 379.328972 501.812506 \n",
       "L 379.341913 506.097899 \n",
       "L 379.354854 510.383292 \n",
       "L 379.367795 514.668684 \n",
       "L 379.380735 518.954077 \n",
       "L 379.393676 523.23947 \n",
       "L 379.406617 527.524863 \n",
       "L 379.419558 531.810255 \n",
       "L 379.432498 536.095648 \n",
       "L 379.445439 540.381041 \n",
       "L 379.45838 544.666434 \n",
       "L 379.471321 548.951826 \n",
       "L 379.484262 553.237219 \n",
       "L 379.497202 557.522612 \n",
       "L 379.510143 561.808005 \n",
       "L 379.523084 566.093397 \n",
       "L 379.536025 570.37879 \n",
       "L 379.548965 574.664183 \n",
       "L 379.561906 578.949576 \n",
       "L 379.574847 583.234968 \n",
       "L 379.587788 587.520361 \n",
       "L 379.600729 591.805754 \n",
       "L 379.613669 596.091147 \n",
       "L 379.62661 600.376539 \n",
       "L 379.639551 604.661932 \n",
       "L 379.652492 608.947325 \n",
       "L 379.665433 613.232717 \n",
       "L 379.678373 617.51811 \n",
       "\" clip-path=\"url(#p24a211a0e7)\" style=\"fill: none; stroke: #000000\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_3\">\n",
       "    <path d=\"M 619.593562 120.163044 \n",
       "L 619.560448 119.330767 \n",
       "L 619.461313 118.503753 \n",
       "L 619.296786 117.687229 \n",
       "L 619.067906 116.886358 \n",
       "L 618.77612 116.106203 \n",
       "L 618.423272 115.351697 \n",
       "L 618.011595 114.62761 \n",
       "L 617.54369 113.938519 \n",
       "L 617.022516 113.288782 \n",
       "L 616.451368 112.682507 \n",
       "L 615.833856 112.123525 \n",
       "L 615.173885 111.615372 \n",
       "L 614.475628 111.161261 \n",
       "L 613.743499 110.764061 \n",
       "L 612.982127 110.426285 \n",
       "L 612.196325 110.150068 \n",
       "L 611.391061 109.937155 \n",
       "L 610.571428 109.788895 \n",
       "L 609.742606 109.706223 \n",
       "L 608.909835 109.689662 \n",
       "L 608.078382 109.739318 \n",
       "L 607.253502 109.854875 \n",
       "L 606.44041 110.035605 \n",
       "L 605.644248 110.280363 \n",
       "L 604.870049 110.587603 \n",
       "L 604.122708 110.955381 \n",
       "L 603.406948 111.381374 \n",
       "L 602.727297 111.862887 \n",
       "L 602.088051 112.396876 \n",
       "L 601.493251 112.979966 \n",
       "L 600.946657 113.608469 \n",
       "L 600.451726 114.278412 \n",
       "L 600.011587 114.98556 \n",
       "L 599.629022 115.725442 \n",
       "L 599.306451 116.493379 \n",
       "L 599.045912 117.284518 \n",
       "L 598.849052 118.093855 \n",
       "L 598.717117 118.916274 \n",
       "L 598.65094 119.746576 \n",
       "L 598.65094 120.579511 \n",
       "L 598.717117 121.409813 \n",
       "L 598.849052 122.232233 \n",
       "L 599.045912 123.04157 \n",
       "L 599.306451 123.832708 \n",
       "L 599.629022 124.600646 \n",
       "L 600.011587 125.340528 \n",
       "L 600.451726 126.047676 \n",
       "L 600.946657 126.717619 \n",
       "L 601.493251 127.346122 \n",
       "L 602.088051 127.929212 \n",
       "L 602.727297 128.463201 \n",
       "L 603.406948 128.944714 \n",
       "L 604.122708 129.370706 \n",
       "L 604.870049 129.738485 \n",
       "L 605.644248 130.045725 \n",
       "L 606.44041 130.290483 \n",
       "L 607.253502 130.471212 \n",
       "L 608.078382 130.58677 \n",
       "L 608.909835 130.636425 \n",
       "L 609.742606 130.619865 \n",
       "L 610.571428 130.537193 \n",
       "L 611.391061 130.388932 \n",
       "L 612.196325 130.17602 \n",
       "L 612.982127 129.899803 \n",
       "L 613.743499 129.562027 \n",
       "L 614.475628 129.164827 \n",
       "L 615.173885 128.710715 \n",
       "L 615.833856 128.202562 \n",
       "L 616.451368 127.643581 \n",
       "L 617.022516 127.037305 \n",
       "L 617.54369 126.387568 \n",
       "L 618.011595 125.698478 \n",
       "L 618.423272 124.974391 \n",
       "L 618.77612 124.219885 \n",
       "L 619.067906 123.43973 \n",
       "L 619.296786 122.638859 \n",
       "L 619.461313 121.822335 \n",
       "L 619.560448 120.99532 \n",
       "L 619.593562 120.163044 \n",
       "\" clip-path=\"url(#p24a211a0e7)\" style=\"fill: #20b2aa\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_4\">\n",
       "    <path d=\"M 499.327895 119.28189 \n",
       "L 499.294781 118.449613 \n",
       "L 499.195646 117.622599 \n",
       "L 499.031119 116.806075 \n",
       "L 498.802238 116.005204 \n",
       "L 498.510452 115.225049 \n",
       "L 498.157605 114.470543 \n",
       "L 497.745928 113.746456 \n",
       "L 497.278023 113.057365 \n",
       "L 496.756849 112.407628 \n",
       "L 496.1857 111.801353 \n",
       "L 495.568189 111.242371 \n",
       "L 494.908218 110.734218 \n",
       "L 494.209961 110.280107 \n",
       "L 493.477832 109.882907 \n",
       "L 492.716459 109.545131 \n",
       "L 491.930657 109.268913 \n",
       "L 491.125394 109.056001 \n",
       "L 490.30576 108.907741 \n",
       "L 489.476938 108.825069 \n",
       "L 488.644168 108.808508 \n",
       "L 487.812715 108.858164 \n",
       "L 486.987835 108.973721 \n",
       "L 486.174743 109.154451 \n",
       "L 485.378581 109.399209 \n",
       "L 484.604382 109.706448 \n",
       "L 483.85704 110.074227 \n",
       "L 483.141281 110.50022 \n",
       "L 482.46163 110.981733 \n",
       "L 481.822383 111.515722 \n",
       "L 481.227583 112.098811 \n",
       "L 480.68099 112.727315 \n",
       "L 480.186059 113.397258 \n",
       "L 479.74592 114.104406 \n",
       "L 479.363355 114.844288 \n",
       "L 479.040783 115.612225 \n",
       "L 478.780244 116.403364 \n",
       "L 478.583385 117.212701 \n",
       "L 478.451449 118.03512 \n",
       "L 478.385273 118.865422 \n",
       "L 478.385273 119.698357 \n",
       "L 478.451449 120.528659 \n",
       "L 478.583385 121.351079 \n",
       "L 478.780244 122.160416 \n",
       "L 479.040783 122.951554 \n",
       "L 479.363355 123.719492 \n",
       "L 479.74592 124.459374 \n",
       "L 480.186059 125.166521 \n",
       "L 480.68099 125.836465 \n",
       "L 481.227583 126.464968 \n",
       "L 481.822383 127.048058 \n",
       "L 482.46163 127.582047 \n",
       "L 483.141281 128.06356 \n",
       "L 483.85704 128.489552 \n",
       "L 484.604382 128.857331 \n",
       "L 485.378581 129.164571 \n",
       "L 486.174743 129.409329 \n",
       "L 486.987835 129.590058 \n",
       "L 487.812715 129.705616 \n",
       "L 488.644168 129.755271 \n",
       "L 489.476938 129.738711 \n",
       "L 490.30576 129.656039 \n",
       "L 491.125394 129.507778 \n",
       "L 491.930657 129.294866 \n",
       "L 492.716459 129.018649 \n",
       "L 493.477832 128.680873 \n",
       "L 494.209961 128.283673 \n",
       "L 494.908218 127.829561 \n",
       "L 495.568189 127.321408 \n",
       "L 496.1857 126.762427 \n",
       "L 496.756849 126.156151 \n",
       "L 497.278023 125.506414 \n",
       "L 497.745928 124.817324 \n",
       "L 498.157605 124.093237 \n",
       "L 498.510452 123.33873 \n",
       "L 498.802238 122.558576 \n",
       "L 499.031119 121.757705 \n",
       "L 499.195646 120.941181 \n",
       "L 499.294781 120.114166 \n",
       "L 499.327895 119.28189 \n",
       "\" clip-path=\"url(#p24a211a0e7)\" style=\"fill: #20b2aa\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_5\">\n",
       "    <path d=\"M 121.357342 129.380702 \n",
       "L 121.324227 128.548426 \n",
       "L 121.225093 127.721411 \n",
       "L 121.060566 126.904887 \n",
       "L 120.831685 126.104016 \n",
       "L 120.539899 125.323862 \n",
       "L 120.187052 124.569355 \n",
       "L 119.775374 123.845268 \n",
       "L 119.30747 123.156178 \n",
       "L 118.786295 122.506441 \n",
       "L 118.215147 121.900165 \n",
       "L 117.597636 121.341184 \n",
       "L 116.937665 120.833031 \n",
       "L 116.239408 120.378919 \n",
       "L 115.507279 119.981719 \n",
       "L 114.745906 119.643943 \n",
       "L 113.960104 119.367726 \n",
       "L 113.154841 119.154814 \n",
       "L 112.335207 119.006553 \n",
       "L 111.506385 118.923881 \n",
       "L 110.673615 118.907321 \n",
       "L 109.842161 118.956976 \n",
       "L 109.017281 119.072534 \n",
       "L 108.20419 119.253263 \n",
       "L 107.408028 119.498021 \n",
       "L 106.633829 119.805261 \n",
       "L 105.886487 120.17304 \n",
       "L 105.170728 120.599032 \n",
       "L 104.491077 121.080545 \n",
       "L 103.85183 121.614534 \n",
       "L 103.25703 122.197624 \n",
       "L 102.710437 122.826127 \n",
       "L 102.215506 123.496071 \n",
       "L 101.775367 124.203218 \n",
       "L 101.392802 124.9431 \n",
       "L 101.07023 125.711038 \n",
       "L 100.809691 126.502176 \n",
       "L 100.612832 127.311513 \n",
       "L 100.480896 128.133933 \n",
       "L 100.414719 128.964235 \n",
       "L 100.414719 129.79717 \n",
       "L 100.480896 130.627472 \n",
       "L 100.612832 131.449891 \n",
       "L 100.809691 132.259228 \n",
       "L 101.07023 133.050367 \n",
       "L 101.392802 133.818304 \n",
       "L 101.775367 134.558186 \n",
       "L 102.215506 135.265334 \n",
       "L 102.710437 135.935277 \n",
       "L 103.25703 136.563781 \n",
       "L 103.85183 137.14687 \n",
       "L 104.491077 137.680859 \n",
       "L 105.170728 138.162372 \n",
       "L 105.886487 138.588365 \n",
       "L 106.633829 138.956144 \n",
       "L 107.408028 139.263383 \n",
       "L 108.20419 139.508141 \n",
       "L 109.017281 139.688871 \n",
       "L 109.842161 139.804428 \n",
       "L 110.673615 139.854084 \n",
       "L 111.506385 139.837523 \n",
       "L 112.335207 139.754851 \n",
       "L 113.154841 139.606591 \n",
       "L 113.960104 139.393679 \n",
       "L 114.745906 139.117461 \n",
       "L 115.507279 138.779685 \n",
       "L 116.239408 138.382485 \n",
       "L 116.937665 137.928374 \n",
       "L 117.597636 137.420221 \n",
       "L 118.215147 136.861239 \n",
       "L 118.786295 136.254964 \n",
       "L 119.30747 135.605227 \n",
       "L 119.775374 134.916136 \n",
       "L 120.187052 134.192049 \n",
       "L 120.539899 133.437543 \n",
       "L 120.831685 132.657388 \n",
       "L 121.060566 131.856517 \n",
       "L 121.225093 131.039993 \n",
       "L 121.324227 130.212979 \n",
       "L 121.357342 129.380702 \n",
       "\" clip-path=\"url(#p24a211a0e7)\" style=\"fill: #20b2aa\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_6\">\n",
       "    <path d=\"M 210.175578 145.03692 \n",
       "L 210.142463 144.204643 \n",
       "L 210.043329 143.377629 \n",
       "L 209.878802 142.561105 \n",
       "L 209.649921 141.760234 \n",
       "L 209.358135 140.980079 \n",
       "L 209.005288 140.225573 \n",
       "L 208.59361 139.501486 \n",
       "L 208.125706 138.812395 \n",
       "L 207.604531 138.162658 \n",
       "L 207.033383 137.556382 \n",
       "L 206.415872 136.997401 \n",
       "L 205.755901 136.489248 \n",
       "L 205.057644 136.035136 \n",
       "L 204.325515 135.637937 \n",
       "L 203.564142 135.300161 \n",
       "L 202.77834 135.023943 \n",
       "L 201.973077 134.811031 \n",
       "L 201.153443 134.662771 \n",
       "L 200.324621 134.580099 \n",
       "L 199.491851 134.563538 \n",
       "L 198.660397 134.613194 \n",
       "L 197.835517 134.728751 \n",
       "L 197.022426 134.90948 \n",
       "L 196.226264 135.154239 \n",
       "L 195.452065 135.461478 \n",
       "L 194.704723 135.829257 \n",
       "L 193.988964 136.255249 \n",
       "L 193.309313 136.736762 \n",
       "L 192.670066 137.270752 \n",
       "L 192.075266 137.853841 \n",
       "L 191.528673 138.482345 \n",
       "L 191.033742 139.152288 \n",
       "L 190.593603 139.859436 \n",
       "L 190.211038 140.599317 \n",
       "L 189.888466 141.367255 \n",
       "L 189.627927 142.158393 \n",
       "L 189.431068 142.967731 \n",
       "L 189.299132 143.79015 \n",
       "L 189.232956 144.620452 \n",
       "L 189.232956 145.453387 \n",
       "L 189.299132 146.283689 \n",
       "L 189.431068 147.106108 \n",
       "L 189.627927 147.915446 \n",
       "L 189.888466 148.706584 \n",
       "L 190.211038 149.474522 \n",
       "L 190.593603 150.214403 \n",
       "L 191.033742 150.921551 \n",
       "L 191.528673 151.591495 \n",
       "L 192.075266 152.219998 \n",
       "L 192.670066 152.803087 \n",
       "L 193.309313 153.337077 \n",
       "L 193.988964 153.81859 \n",
       "L 194.704723 154.244582 \n",
       "L 195.452065 154.612361 \n",
       "L 196.226264 154.919601 \n",
       "L 197.022426 155.164359 \n",
       "L 197.835517 155.345088 \n",
       "L 198.660397 155.460646 \n",
       "L 199.491851 155.510301 \n",
       "L 200.324621 155.493741 \n",
       "L 201.153443 155.411069 \n",
       "L 201.973077 155.262808 \n",
       "L 202.77834 155.049896 \n",
       "L 203.564142 154.773679 \n",
       "L 204.325515 154.435902 \n",
       "L 205.057644 154.038703 \n",
       "L 205.755901 153.584591 \n",
       "L 206.415872 153.076438 \n",
       "L 207.033383 152.517457 \n",
       "L 207.604531 151.911181 \n",
       "L 208.125706 151.261444 \n",
       "L 208.59361 150.572354 \n",
       "L 209.005288 149.848266 \n",
       "L 209.358135 149.09376 \n",
       "L 209.649921 148.313605 \n",
       "L 209.878802 147.512734 \n",
       "L 210.043329 146.696211 \n",
       "L 210.142463 145.869196 \n",
       "L 210.175578 145.03692 \n",
       "\" clip-path=\"url(#p24a211a0e7)\" style=\"fill: #20b2aa\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_7\">\n",
       "    <path d=\"M 511.847467 234.035609 \n",
       "L 511.823526 233.433889 \n",
       "L 511.751854 232.835973 \n",
       "L 511.632903 232.245641 \n",
       "L 511.467427 231.666627 \n",
       "L 511.256471 231.10259 \n",
       "L 511.001369 230.557096 \n",
       "L 510.703734 230.033594 \n",
       "L 510.365448 229.535395 \n",
       "L 509.988649 229.065647 \n",
       "L 509.575719 228.627321 \n",
       "L 509.12927 228.223188 \n",
       "L 508.652124 227.855803 \n",
       "L 508.147297 227.527489 \n",
       "L 507.617981 227.240321 \n",
       "L 507.067523 226.996115 \n",
       "L 506.499403 226.796416 \n",
       "L 505.917213 226.642484 \n",
       "L 505.324633 226.535294 \n",
       "L 504.725411 226.475524 \n",
       "L 504.123333 226.463551 \n",
       "L 503.522208 226.499451 \n",
       "L 502.925836 226.582997 \n",
       "L 502.337986 226.713661 \n",
       "L 501.762376 226.890617 \n",
       "L 501.202644 227.112745 \n",
       "L 500.66233 227.378642 \n",
       "L 500.14485 227.686627 \n",
       "L 499.653475 228.034752 \n",
       "L 499.191312 228.420816 \n",
       "L 498.761282 228.842379 \n",
       "L 498.366106 229.296775 \n",
       "L 498.00828 229.781131 \n",
       "L 497.690068 230.292386 \n",
       "L 497.41348 230.827306 \n",
       "L 497.180267 231.382511 \n",
       "L 496.991902 231.954489 \n",
       "L 496.849576 232.539624 \n",
       "L 496.75419 233.134218 \n",
       "L 496.706345 233.734511 \n",
       "L 496.706345 234.336707 \n",
       "L 496.75419 234.937 \n",
       "L 496.849576 235.531594 \n",
       "L 496.991902 236.116729 \n",
       "L 497.180267 236.688707 \n",
       "L 497.41348 237.243912 \n",
       "L 497.690068 237.778832 \n",
       "L 498.00828 238.290087 \n",
       "L 498.366106 238.774443 \n",
       "L 498.761282 239.228839 \n",
       "L 499.191312 239.650402 \n",
       "L 499.653475 240.036466 \n",
       "L 500.14485 240.384591 \n",
       "L 500.66233 240.692576 \n",
       "L 501.202644 240.958473 \n",
       "L 501.762376 241.180601 \n",
       "L 502.337986 241.357557 \n",
       "L 502.925836 241.488221 \n",
       "L 503.522208 241.571767 \n",
       "L 504.123333 241.607667 \n",
       "L 504.725411 241.595694 \n",
       "L 505.324633 241.535923 \n",
       "L 505.917213 241.428734 \n",
       "L 506.499403 241.274802 \n",
       "L 507.067523 241.075103 \n",
       "L 507.617981 240.830897 \n",
       "L 508.147297 240.543729 \n",
       "L 508.652124 240.215415 \n",
       "L 509.12927 239.84803 \n",
       "L 509.575719 239.443897 \n",
       "L 509.988649 239.005571 \n",
       "L 510.365448 238.535823 \n",
       "L 510.703734 238.037624 \n",
       "L 511.001369 237.514122 \n",
       "L 511.256471 236.968628 \n",
       "L 511.467427 236.404591 \n",
       "L 511.632903 235.825577 \n",
       "L 511.751854 235.235245 \n",
       "L 511.823526 234.637329 \n",
       "L 511.847467 234.035609 \n",
       "\" clip-path=\"url(#p24a211a0e7)\" style=\"fill: #ffa500\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_8\">\n",
       "    <path d=\"M 252.8698 213.330433 \n",
       "L 252.845859 212.728713 \n",
       "L 252.774187 212.130797 \n",
       "L 252.655237 211.540465 \n",
       "L 252.48976 210.961451 \n",
       "L 252.278805 210.397413 \n",
       "L 252.023703 209.85192 \n",
       "L 251.726068 209.328418 \n",
       "L 251.387781 208.830219 \n",
       "L 251.010982 208.360471 \n",
       "L 250.598053 207.922145 \n",
       "L 250.151603 207.518012 \n",
       "L 249.674457 207.150627 \n",
       "L 249.16963 206.822313 \n",
       "L 248.640315 206.535145 \n",
       "L 248.089857 206.290939 \n",
       "L 247.521737 206.091239 \n",
       "L 246.939546 205.937308 \n",
       "L 246.346967 205.830118 \n",
       "L 245.747744 205.770348 \n",
       "L 245.145667 205.758375 \n",
       "L 244.544541 205.794275 \n",
       "L 243.948169 205.877821 \n",
       "L 243.360319 206.008485 \n",
       "L 242.784709 206.185441 \n",
       "L 242.224977 206.407569 \n",
       "L 241.684663 206.673466 \n",
       "L 241.167183 206.981451 \n",
       "L 240.675808 207.329575 \n",
       "L 240.213645 207.71564 \n",
       "L 239.783616 208.137202 \n",
       "L 239.388439 208.591598 \n",
       "L 239.030613 209.075955 \n",
       "L 238.712401 209.58721 \n",
       "L 238.435814 210.12213 \n",
       "L 238.2026 210.677334 \n",
       "L 238.014235 211.249313 \n",
       "L 237.87191 211.834448 \n",
       "L 237.776523 212.429042 \n",
       "L 237.728678 213.029335 \n",
       "L 237.728678 213.631531 \n",
       "L 237.776523 214.231824 \n",
       "L 237.87191 214.826417 \n",
       "L 238.014235 215.411553 \n",
       "L 238.2026 215.983531 \n",
       "L 238.435814 216.538736 \n",
       "L 238.712401 217.073656 \n",
       "L 239.030613 217.584911 \n",
       "L 239.388439 218.069267 \n",
       "L 239.783616 218.523663 \n",
       "L 240.213645 218.945226 \n",
       "L 240.675808 219.33129 \n",
       "L 241.167183 219.679415 \n",
       "L 241.684663 219.9874 \n",
       "L 242.224977 220.253297 \n",
       "L 242.784709 220.475425 \n",
       "L 243.360319 220.652381 \n",
       "L 243.948169 220.783045 \n",
       "L 244.544541 220.866591 \n",
       "L 245.145667 220.902491 \n",
       "L 245.747744 220.890518 \n",
       "L 246.346967 220.830747 \n",
       "L 246.939546 220.723558 \n",
       "L 247.521737 220.569626 \n",
       "L 248.089857 220.369926 \n",
       "L 248.640315 220.125721 \n",
       "L 249.16963 219.838553 \n",
       "L 249.674457 219.510238 \n",
       "L 250.151603 219.142853 \n",
       "L 250.598053 218.738721 \n",
       "L 251.010982 218.300395 \n",
       "L 251.387781 217.830647 \n",
       "L 251.726068 217.332448 \n",
       "L 252.023703 216.808946 \n",
       "L 252.278805 216.263452 \n",
       "L 252.48976 215.699415 \n",
       "L 252.655237 215.1204 \n",
       "L 252.774187 214.530069 \n",
       "L 252.845859 213.932153 \n",
       "L 252.8698 213.330433 \n",
       "\" clip-path=\"url(#p24a211a0e7)\" style=\"fill: #ffa500\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_9\">\n",
       "    <path d=\"M 371.249162 319.297366 \n",
       "L 371.216048 318.465089 \n",
       "L 371.116913 317.638075 \n",
       "L 370.952386 316.821551 \n",
       "L 370.723506 316.02068 \n",
       "L 370.431719 315.240525 \n",
       "L 370.078872 314.486019 \n",
       "L 369.667195 313.761932 \n",
       "L 369.19929 313.072841 \n",
       "L 368.678116 312.423104 \n",
       "L 368.106968 311.816828 \n",
       "L 367.489456 311.257847 \n",
       "L 366.829485 310.749694 \n",
       "L 366.131228 310.295582 \n",
       "L 365.399099 309.898383 \n",
       "L 364.637727 309.560607 \n",
       "L 363.851925 309.284389 \n",
       "L 363.046661 309.071477 \n",
       "L 362.227028 308.923217 \n",
       "L 361.398206 308.840545 \n",
       "L 360.565435 308.823984 \n",
       "L 359.733982 308.87364 \n",
       "L 358.909102 308.989197 \n",
       "L 358.09601 309.169926 \n",
       "L 357.299848 309.414685 \n",
       "L 356.525649 309.721924 \n",
       "L 355.778307 310.089703 \n",
       "L 355.062548 310.515695 \n",
       "L 354.382897 310.997208 \n",
       "L 353.743651 311.531198 \n",
       "L 353.14885 312.114287 \n",
       "L 352.602257 312.742791 \n",
       "L 352.107326 313.412734 \n",
       "L 351.667187 314.119882 \n",
       "L 351.284622 314.859763 \n",
       "L 350.962051 315.627701 \n",
       "L 350.701511 316.418839 \n",
       "L 350.504652 317.228177 \n",
       "L 350.372717 318.050596 \n",
       "L 350.30654 318.880898 \n",
       "L 350.30654 319.713833 \n",
       "L 350.372717 320.544135 \n",
       "L 350.504652 321.366554 \n",
       "L 350.701511 322.175892 \n",
       "L 350.962051 322.96703 \n",
       "L 351.284622 323.734968 \n",
       "L 351.667187 324.474849 \n",
       "L 352.107326 325.181997 \n",
       "L 352.602257 325.851941 \n",
       "L 353.14885 326.480444 \n",
       "L 353.743651 327.063533 \n",
       "L 354.382897 327.597523 \n",
       "L 355.062548 328.079036 \n",
       "L 355.778307 328.505028 \n",
       "L 356.525649 328.872807 \n",
       "L 357.299848 329.180047 \n",
       "L 358.09601 329.424805 \n",
       "L 358.909102 329.605534 \n",
       "L 359.733982 329.721092 \n",
       "L 360.565435 329.770747 \n",
       "L 361.398206 329.754187 \n",
       "L 362.227028 329.671515 \n",
       "L 363.046661 329.523254 \n",
       "L 363.851925 329.310342 \n",
       "L 364.637727 329.034125 \n",
       "L 365.399099 328.696348 \n",
       "L 366.131228 328.299149 \n",
       "L 366.829485 327.845037 \n",
       "L 367.489456 327.336884 \n",
       "L 368.106968 326.777903 \n",
       "L 368.678116 326.171627 \n",
       "L 369.19929 325.52189 \n",
       "L 369.667195 324.8328 \n",
       "L 370.078872 324.108712 \n",
       "L 370.431719 323.354206 \n",
       "L 370.723506 322.574051 \n",
       "L 370.952386 321.77318 \n",
       "L 371.116913 320.956657 \n",
       "L 371.216048 320.129642 \n",
       "L 371.249162 319.297366 \n",
       "\" clip-path=\"url(#p24a211a0e7)\" style=\"fill: #ffa500\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_10\">\n",
       "    <path d=\"M 409.347571 394.186826 \n",
       "L 409.31011 393.245316 \n",
       "L 409.197965 392.309759 \n",
       "L 409.011844 391.386068 \n",
       "L 408.752923 390.480085 \n",
       "L 408.422841 389.597538 \n",
       "L 408.023684 388.744005 \n",
       "L 407.557975 387.924883 \n",
       "L 407.028659 387.145352 \n",
       "L 406.439082 386.410339 \n",
       "L 405.792973 385.724491 \n",
       "L 405.094415 385.092145 \n",
       "L 404.347825 384.517299 \n",
       "L 403.557923 384.003586 \n",
       "L 402.729704 383.554256 \n",
       "L 401.868404 383.172147 \n",
       "L 400.979468 382.859677 \n",
       "L 400.068517 382.618821 \n",
       "L 399.141308 382.451102 \n",
       "L 398.203706 382.357579 \n",
       "L 397.261637 382.338845 \n",
       "L 396.321058 382.395018 \n",
       "L 395.387915 382.525742 \n",
       "L 394.468108 382.730192 \n",
       "L 393.567452 383.007073 \n",
       "L 392.691641 383.354637 \n",
       "L 391.846213 383.770686 \n",
       "L 391.036513 384.252589 \n",
       "L 390.267659 384.797299 \n",
       "L 389.544514 385.401373 \n",
       "L 388.871648 386.060991 \n",
       "L 388.253316 386.771983 \n",
       "L 387.693427 387.529855 \n",
       "L 387.195521 388.329814 \n",
       "L 386.762746 389.166802 \n",
       "L 386.397837 390.035529 \n",
       "L 386.103103 390.930502 \n",
       "L 385.880406 391.846063 \n",
       "L 385.731155 392.776422 \n",
       "L 385.656293 393.715699 \n",
       "L 385.656293 394.657954 \n",
       "L 385.731155 395.597231 \n",
       "L 385.880406 396.52759 \n",
       "L 386.103103 397.44315 \n",
       "L 386.397837 398.338123 \n",
       "L 386.762746 399.20685 \n",
       "L 387.195521 400.043839 \n",
       "L 387.693427 400.843798 \n",
       "L 388.253316 401.60167 \n",
       "L 388.871648 402.312662 \n",
       "L 389.544514 402.97228 \n",
       "L 390.267659 403.576354 \n",
       "L 391.036513 404.121064 \n",
       "L 391.846213 404.602967 \n",
       "L 392.691641 405.019015 \n",
       "L 393.567452 405.366579 \n",
       "L 394.468108 405.643461 \n",
       "L 395.387915 405.847911 \n",
       "L 396.321058 405.978635 \n",
       "L 397.261637 406.034808 \n",
       "L 398.203706 406.016074 \n",
       "L 399.141308 405.922551 \n",
       "L 400.068517 405.754832 \n",
       "L 400.979468 405.513976 \n",
       "L 401.868404 405.201506 \n",
       "L 402.729704 404.819397 \n",
       "L 403.557923 404.370066 \n",
       "L 404.347825 403.856354 \n",
       "L 405.094415 403.281507 \n",
       "L 405.792973 402.649162 \n",
       "L 406.439082 401.963314 \n",
       "L 407.028659 401.228301 \n",
       "L 407.557975 400.448769 \n",
       "L 408.023684 399.629648 \n",
       "L 408.422841 398.776115 \n",
       "L 408.752923 397.893567 \n",
       "L 409.011844 396.987585 \n",
       "L 409.197965 396.063894 \n",
       "L 409.31011 395.128337 \n",
       "L 409.347571 394.186826 \n",
       "\" clip-path=\"url(#p24a211a0e7)\" style=\"fill: #ffa500\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_11\">\n",
       "    <path d=\"M 390.471272 493.241721 \n",
       "L 390.435968 492.354407 \n",
       "L 390.330278 491.472703 \n",
       "L 390.15487 490.602183 \n",
       "L 389.910854 489.748351 \n",
       "L 389.599773 488.916606 \n",
       "L 389.223592 488.112205 \n",
       "L 388.784691 487.340235 \n",
       "L 388.285844 486.605576 \n",
       "L 387.730205 485.912872 \n",
       "L 387.121288 485.266504 \n",
       "L 386.462941 484.670558 \n",
       "L 385.759327 484.128802 \n",
       "L 385.014895 483.64466 \n",
       "L 384.234351 483.221194 \n",
       "L 383.42263 482.861081 \n",
       "L 382.584864 482.566598 \n",
       "L 381.726349 482.339606 \n",
       "L 380.852514 482.181541 \n",
       "L 379.968883 482.093402 \n",
       "L 379.081043 482.075747 \n",
       "L 378.194606 482.128686 \n",
       "L 377.315178 482.251885 \n",
       "L 376.448318 482.444566 \n",
       "L 375.599506 482.70551 \n",
       "L 374.77411 483.033067 \n",
       "L 373.977348 483.425166 \n",
       "L 373.214256 483.879329 \n",
       "L 372.489661 484.392684 \n",
       "L 371.808142 484.961985 \n",
       "L 371.174008 485.583634 \n",
       "L 370.591269 486.253699 \n",
       "L 370.063609 486.967945 \n",
       "L 369.594364 487.721856 \n",
       "L 369.186501 488.510665 \n",
       "L 368.842598 489.329385 \n",
       "L 368.564829 490.172841 \n",
       "L 368.354952 491.035699 \n",
       "L 368.214292 491.912504 \n",
       "L 368.143739 492.797713 \n",
       "L 368.143739 493.685729 \n",
       "L 368.214292 494.570937 \n",
       "L 368.354952 495.447742 \n",
       "L 368.564829 496.3106 \n",
       "L 368.842598 497.154056 \n",
       "L 369.186501 497.972776 \n",
       "L 369.594364 498.761585 \n",
       "L 370.063609 499.515496 \n",
       "L 370.591269 500.229742 \n",
       "L 371.174008 500.899807 \n",
       "L 371.808142 501.521456 \n",
       "L 372.489661 502.090757 \n",
       "L 373.214256 502.604112 \n",
       "L 373.977348 503.058275 \n",
       "L 374.77411 503.450375 \n",
       "L 375.599506 503.777932 \n",
       "L 376.448318 504.038875 \n",
       "L 377.315178 504.231556 \n",
       "L 378.194606 504.354755 \n",
       "L 379.081043 504.407695 \n",
       "L 379.968883 504.390039 \n",
       "L 380.852514 504.3019 \n",
       "L 381.726349 504.143835 \n",
       "L 382.584864 503.916843 \n",
       "L 383.42263 503.62236 \n",
       "L 384.234351 503.262247 \n",
       "L 385.014895 502.838781 \n",
       "L 385.759327 502.354639 \n",
       "L 386.462941 501.812883 \n",
       "L 387.121288 501.216937 \n",
       "L 387.730205 500.570569 \n",
       "L 388.285844 499.877866 \n",
       "L 388.784691 499.143206 \n",
       "L 389.223592 498.371236 \n",
       "L 389.599773 497.566835 \n",
       "L 389.910854 496.73509 \n",
       "L 390.15487 495.881258 \n",
       "L 390.330278 495.010738 \n",
       "L 390.435968 494.129034 \n",
       "L 390.471272 493.241721 \n",
       "\" clip-path=\"url(#p24a211a0e7)\" style=\"fill: #ffa500\"/>\n",
       "   </g>\n",
       "   <g id=\"patch_12\">\n",
       "    <path d=\"M 396.069289 617.51811 \n",
       "L 396.017475 616.215849 \n",
       "L 395.862359 614.921822 \n",
       "L 395.604924 613.644208 \n",
       "L 395.246795 612.391087 \n",
       "L 394.790238 611.170381 \n",
       "L 394.238139 609.989807 \n",
       "L 393.593988 608.856829 \n",
       "L 392.861858 607.778611 \n",
       "L 392.046378 606.761969 \n",
       "L 391.152704 605.813331 \n",
       "L 390.186485 604.938694 \n",
       "L 389.153831 604.143589 \n",
       "L 388.061269 603.433041 \n",
       "L 386.915708 602.811544 \n",
       "L 385.724391 602.283026 \n",
       "L 384.494848 601.850829 \n",
       "L 383.234855 601.517686 \n",
       "L 381.952376 601.285703 \n",
       "L 380.65552 601.156347 \n",
       "L 379.352486 601.130434 \n",
       "L 378.051513 601.20813 \n",
       "L 376.760825 601.388943 \n",
       "L 375.488583 601.67173 \n",
       "L 374.24283 602.054702 \n",
       "L 373.031442 602.535439 \n",
       "L 371.862078 603.110902 \n",
       "L 370.742132 603.777451 \n",
       "L 369.678683 604.530874 \n",
       "L 368.678455 605.366405 \n",
       "L 367.747773 606.278764 \n",
       "L 366.89252 607.262182 \n",
       "L 366.118103 608.310441 \n",
       "L 365.429418 609.416913 \n",
       "L 364.83082 610.574604 \n",
       "L 364.326092 611.776195 \n",
       "L 363.918427 613.014087 \n",
       "L 363.610402 614.280455 \n",
       "L 363.403963 615.567293 \n",
       "L 363.300416 616.866465 \n",
       "L 363.300416 618.169756 \n",
       "L 363.403963 619.468927 \n",
       "L 363.610402 620.755765 \n",
       "L 363.918427 622.022133 \n",
       "L 364.326092 623.260026 \n",
       "L 364.83082 624.461616 \n",
       "L 365.429418 625.619307 \n",
       "L 366.118103 626.72578 \n",
       "L 366.89252 627.774039 \n",
       "L 367.747773 628.757456 \n",
       "L 368.678455 629.669815 \n",
       "L 369.678683 630.505347 \n",
       "L 370.742132 631.258769 \n",
       "L 371.862078 631.925319 \n",
       "L 373.031442 632.500781 \n",
       "L 374.24283 632.981518 \n",
       "L 375.488583 633.364491 \n",
       "L 376.760825 633.647277 \n",
       "L 378.051513 633.82809 \n",
       "L 379.352486 633.905786 \n",
       "L 380.65552 633.879874 \n",
       "L 381.952376 633.750517 \n",
       "L 383.234855 633.518534 \n",
       "L 384.494848 633.185391 \n",
       "L 385.724391 632.753195 \n",
       "L 386.915708 632.224677 \n",
       "L 388.061269 631.60318 \n",
       "L 389.153831 630.892632 \n",
       "L 390.186485 630.097526 \n",
       "L 391.152704 629.222889 \n",
       "L 392.046378 628.274251 \n",
       "L 392.861858 627.257609 \n",
       "L 393.593988 626.179391 \n",
       "L 394.238139 625.046413 \n",
       "L 394.790238 623.865839 \n",
       "L 395.246795 622.645133 \n",
       "L 395.604924 621.392012 \n",
       "L 395.862359 620.114399 \n",
       "L 396.017475 618.820371 \n",
       "L 396.069289 617.51811 \n",
       "\" clip-path=\"url(#p24a211a0e7)\" style=\"fill: #40e0d0\"/>\n",
       "   </g>\n",
       "   <g id=\"PathCollection_1\">\n",
       "    <defs>\n",
       "     <path id=\"md28a1115bc\" d=\"M 0 0.01 \n",
       "C 0.002652 0.01 0.005196 0.008946 0.007071 0.007071 \n",
       "C 0.008946 0.005196 0.01 0.002652 0.01 0 \n",
       "C 0.01 -0.002652 0.008946 -0.005196 0.007071 -0.007071 \n",
       "C 0.005196 -0.008946 0.002652 -0.01 0 -0.01 \n",
       "C -0.002652 -0.01 -0.005196 -0.008946 -0.007071 -0.007071 \n",
       "C -0.008946 -0.005196 -0.01 -0.002652 -0.01 0 \n",
       "C -0.01 0.002652 -0.008946 0.005196 -0.007071 0.007071 \n",
       "C -0.005196 0.008946 -0.002652 0.01 0 0.01 \n",
       "z\n",
       "\"/>\n",
       "    </defs>\n",
       "    <g clip-path=\"url(#p24a211a0e7)\">\n",
       "     <use xlink:href=\"#md28a1115bc\" x=\"609.11811\" y=\"120.163044\" style=\"fill: #40e0d0\"/>\n",
       "     <use xlink:href=\"#md28a1115bc\" x=\"488.852443\" y=\"119.28189\" style=\"fill: #40e0d0\"/>\n",
       "     <use xlink:href=\"#md28a1115bc\" x=\"110.88189\" y=\"129.380702\" style=\"fill: #40e0d0\"/>\n",
       "     <use xlink:href=\"#md28a1115bc\" x=\"199.700126\" y=\"145.03692\" style=\"fill: #40e0d0\"/>\n",
       "     <use xlink:href=\"#md28a1115bc\" x=\"504.273912\" y=\"234.035609\" style=\"fill: #40e0d0\"/>\n",
       "     <use xlink:href=\"#md28a1115bc\" x=\"245.296246\" y=\"213.330433\" style=\"fill: #40e0d0\"/>\n",
       "     <use xlink:href=\"#md28a1115bc\" x=\"360.77371\" y=\"319.297366\" style=\"fill: #40e0d0\"/>\n",
       "     <use xlink:href=\"#md28a1115bc\" x=\"397.497247\" y=\"394.186826\" style=\"fill: #40e0d0\"/>\n",
       "     <use xlink:href=\"#md28a1115bc\" x=\"379.303091\" y=\"493.241721\" style=\"fill: #40e0d0\"/>\n",
       "     <use xlink:href=\"#md28a1115bc\" x=\"379.678373\" y=\"617.51811\" style=\"fill: #40e0d0\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_2\">\n",
       "    <!-- $\\mathsf{d}\\mathbf{A}$ -->\n",
       "    <g transform=\"translate(549.646011 179.858701)scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-64\" d=\"M 2906 2969 \n",
       "L 2906 4863 \n",
       "L 3481 4863 \n",
       "L 3481 0 \n",
       "L 2906 0 \n",
       "L 2906 525 \n",
       "Q 2725 213 2448 61 \n",
       "Q 2172 -91 1784 -91 \n",
       "Q 1150 -91 751 415 \n",
       "Q 353 922 353 1747 \n",
       "Q 353 2572 751 3078 \n",
       "Q 1150 3584 1784 3584 \n",
       "Q 2172 3584 2448 3432 \n",
       "Q 2725 3281 2906 2969 \n",
       "z\n",
       "M 947 1747 \n",
       "Q 947 1113 1208 752 \n",
       "Q 1469 391 1925 391 \n",
       "Q 2381 391 2643 752 \n",
       "Q 2906 1113 2906 1747 \n",
       "Q 2906 2381 2643 2742 \n",
       "Q 2381 3103 1925 3103 \n",
       "Q 1469 3103 1208 2742 \n",
       "Q 947 2381 947 1747 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-Bold-41\" d=\"M 3419 850 \n",
       "L 1538 850 \n",
       "L 1241 0 \n",
       "L 31 0 \n",
       "L 1759 4666 \n",
       "L 3194 4666 \n",
       "L 4922 0 \n",
       "L 3713 0 \n",
       "L 3419 850 \n",
       "z\n",
       "M 1838 1716 \n",
       "L 3116 1716 \n",
       "L 2478 3572 \n",
       "L 1838 1716 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-64\" transform=\"translate(0 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-41\" transform=\"translate(63.476562 0.015625)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_3\">\n",
       "    <!-- $\\mathsf{d}\\mathbf{B}$ -->\n",
       "    <g transform=\"translate(489.563178 179.418124)scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-Bold-42\" d=\"M 2456 2859 \n",
       "Q 2741 2859 2887 2984 \n",
       "Q 3034 3109 3034 3353 \n",
       "Q 3034 3594 2887 3720 \n",
       "Q 2741 3847 2456 3847 \n",
       "L 1791 3847 \n",
       "L 1791 2859 \n",
       "L 2456 2859 \n",
       "z\n",
       "M 2497 819 \n",
       "Q 2859 819 3042 972 \n",
       "Q 3225 1125 3225 1434 \n",
       "Q 3225 1738 3044 1889 \n",
       "Q 2863 2041 2497 2041 \n",
       "L 1791 2041 \n",
       "L 1791 819 \n",
       "L 2497 819 \n",
       "z\n",
       "M 3616 2497 \n",
       "Q 4003 2384 4215 2081 \n",
       "Q 4428 1778 4428 1338 \n",
       "Q 4428 663 3972 331 \n",
       "Q 3516 0 2584 0 \n",
       "L 588 0 \n",
       "L 588 4666 \n",
       "L 2394 4666 \n",
       "Q 3366 4666 3802 4372 \n",
       "Q 4238 4078 4238 3431 \n",
       "Q 4238 3091 4078 2852 \n",
       "Q 3919 2613 3616 2497 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-64\" transform=\"translate(0 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-42\" transform=\"translate(63.476562 0.015625)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_4\">\n",
       "    <!-- $\\mathsf{d}\\mathbf{C}$ -->\n",
       "    <g transform=\"translate(171.239068 174.114943)scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-Bold-43\" d=\"M 4288 256 \n",
       "Q 3956 84 3597 -3 \n",
       "Q 3238 -91 2847 -91 \n",
       "Q 1681 -91 1000 561 \n",
       "Q 319 1213 319 2328 \n",
       "Q 319 3447 1000 4098 \n",
       "Q 1681 4750 2847 4750 \n",
       "Q 3238 4750 3597 4662 \n",
       "Q 3956 4575 4288 4403 \n",
       "L 4288 3438 \n",
       "Q 3953 3666 3628 3772 \n",
       "Q 3303 3878 2944 3878 \n",
       "Q 2300 3878 1931 3465 \n",
       "Q 1563 3053 1563 2328 \n",
       "Q 1563 1606 1931 1193 \n",
       "Q 2300 781 2944 781 \n",
       "Q 3303 781 3628 887 \n",
       "Q 3953 994 4288 1222 \n",
       "L 4288 256 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-64\" transform=\"translate(0 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-43\" transform=\"translate(63.476562 0.015625)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_5\">\n",
       "    <!-- $\\mathsf{d}\\mathbf{D}$ -->\n",
       "    <g transform=\"translate(215.148186 181.943051)scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-Bold-44\" d=\"M 1791 3756 \n",
       "L 1791 909 \n",
       "L 2222 909 \n",
       "Q 2959 909 3348 1275 \n",
       "Q 3738 1641 3738 2338 \n",
       "Q 3738 3031 3350 3393 \n",
       "Q 2963 3756 2222 3756 \n",
       "L 1791 3756 \n",
       "z\n",
       "M 588 4666 \n",
       "L 1856 4666 \n",
       "Q 2919 4666 3439 4514 \n",
       "Q 3959 4363 4331 4000 \n",
       "Q 4659 3684 4818 3271 \n",
       "Q 4978 2859 4978 2338 \n",
       "Q 4978 1809 4818 1395 \n",
       "Q 4659 981 4331 666 \n",
       "Q 3956 303 3431 151 \n",
       "Q 2906 0 1856 0 \n",
       "L 588 0 \n",
       "L 588 4666 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-64\" transform=\"translate(0 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-44\" transform=\"translate(63.476562 0.015625)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_6\">\n",
       "    <!-- $\\mathsf{d}(\\mathbf{AB})=(\\mathsf{d}\\mathbf{A})\\mathbf{B}+\\mathbf{A}(\\mathsf{d}\\mathbf{B})$ -->\n",
       "    <g transform=\"translate(375.973811 279.425862)scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-28\" d=\"M 1984 4856 \n",
       "Q 1566 4138 1362 3434 \n",
       "Q 1159 2731 1159 2009 \n",
       "Q 1159 1288 1364 580 \n",
       "Q 1569 -128 1984 -844 \n",
       "L 1484 -844 \n",
       "Q 1016 -109 783 600 \n",
       "Q 550 1309 550 2009 \n",
       "Q 550 2706 781 3412 \n",
       "Q 1013 4119 1484 4856 \n",
       "L 1984 4856 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-29\" d=\"M 513 4856 \n",
       "L 1013 4856 \n",
       "Q 1481 4119 1714 3412 \n",
       "Q 1947 2706 1947 2009 \n",
       "Q 1947 1309 1714 600 \n",
       "Q 1481 -109 1013 -844 \n",
       "L 513 -844 \n",
       "Q 928 -128 1133 580 \n",
       "Q 1338 1288 1338 2009 \n",
       "Q 1338 2731 1133 3434 \n",
       "Q 928 4138 513 4856 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-3d\" d=\"M 678 2906 \n",
       "L 4684 2906 \n",
       "L 4684 2381 \n",
       "L 678 2381 \n",
       "L 678 2906 \n",
       "z\n",
       "M 678 1631 \n",
       "L 4684 1631 \n",
       "L 4684 1100 \n",
       "L 678 1100 \n",
       "L 678 1631 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-2b\" d=\"M 2944 4013 \n",
       "L 2944 2272 \n",
       "L 4684 2272 \n",
       "L 4684 1741 \n",
       "L 2944 1741 \n",
       "L 2944 0 \n",
       "L 2419 0 \n",
       "L 2419 1741 \n",
       "L 678 1741 \n",
       "L 678 2272 \n",
       "L 2419 2272 \n",
       "L 2419 4013 \n",
       "L 2944 4013 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-64\" transform=\"translate(0 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(63.476562 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-41\" transform=\"translate(102.490234 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-42\" transform=\"translate(179.882812 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(256.103516 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-3d\" transform=\"translate(314.599609 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(417.871094 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-64\" transform=\"translate(456.884766 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-41\" transform=\"translate(520.361328 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(597.753906 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-42\" transform=\"translate(636.767578 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-2b\" transform=\"translate(732.470703 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-41\" transform=\"translate(835.742188 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(913.134766 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-64\" transform=\"translate(952.148438 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-42\" transform=\"translate(1015.625 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(1091.845703 0.015625)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_7\">\n",
       "    <!-- $\\mathsf{d}(\\mathbf{CD})=(\\mathsf{d}\\mathbf{C})\\mathbf{D}+\\mathbf{C}(\\mathsf{d}\\mathbf{D})$ -->\n",
       "    <g transform=\"translate(246.034978 269.073274)scale(0.1 -0.1)\">\n",
       "     <use xlink:href=\"#DejaVuSans-64\" transform=\"translate(0 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(63.476562 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-43\" transform=\"translate(102.490234 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-44\" transform=\"translate(175.878906 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(258.886719 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-3d\" transform=\"translate(317.382812 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(420.654297 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-64\" transform=\"translate(459.667969 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-43\" transform=\"translate(523.144531 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(596.533203 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-44\" transform=\"translate(635.546875 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-2b\" transform=\"translate(738.037109 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-43\" transform=\"translate(841.308594 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(914.697266 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-64\" transform=\"translate(953.710938 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-44\" transform=\"translate(1017.1875 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(1100.195312 0.015625)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_8\">\n",
       "    <!-- $\\mathsf{d}(\\mathbf{AB+CD})=\\mathsf{d}(\\mathbf{AB})+\\mathsf{d}(\\mathbf{CD})$ -->\n",
       "    <g transform=\"translate(308.335479 359.501471)scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-Bold-2b\" d=\"M 3053 4013 \n",
       "L 3053 2375 \n",
       "L 4684 2375 \n",
       "L 4684 1638 \n",
       "L 3053 1638 \n",
       "L 3053 0 \n",
       "L 2309 0 \n",
       "L 2309 1638 \n",
       "L 678 1638 \n",
       "L 678 2375 \n",
       "L 2309 2375 \n",
       "L 2309 4013 \n",
       "L 3053 4013 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-64\" transform=\"translate(0 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(63.476562 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-41\" transform=\"translate(102.490234 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-42\" transform=\"translate(179.882812 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-2b\" transform=\"translate(276.943359 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-43\" transform=\"translate(381.572266 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-44\" transform=\"translate(454.960938 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(537.96875 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-3d\" transform=\"translate(596.464844 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-64\" transform=\"translate(699.736328 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(763.212891 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-41\" transform=\"translate(802.226562 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-42\" transform=\"translate(879.619141 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(955.839844 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-2b\" transform=\"translate(1014.335938 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-64\" transform=\"translate(1117.607422 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(1181.083984 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-43\" transform=\"translate(1220.097656 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-44\" transform=\"translate(1293.486328 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(1376.494141 0.015625)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_9\">\n",
       "    <!-- $\\mathbf{X}=\\mathbf{AB+CD},~\\mathsf{d}(\\mathbf{X}^{-1})=-\\mathbf{X}^{-1}(\\mathsf{d}\\mathbf{X})\\mathbf{X}^{-1}$ -->\n",
       "    <g transform=\"translate(294.550169 446.834586)scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-Bold-58\" d=\"M 3188 2381 \n",
       "L 4806 0 \n",
       "L 3553 0 \n",
       "L 2463 1594 \n",
       "L 1381 0 \n",
       "L 122 0 \n",
       "L 1741 2381 \n",
       "L 184 4666 \n",
       "L 1441 4666 \n",
       "L 2463 3163 \n",
       "L 3481 4666 \n",
       "L 4744 4666 \n",
       "L 3188 2381 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-2c\" d=\"M 750 794 \n",
       "L 1409 794 \n",
       "L 1409 256 \n",
       "L 897 -744 \n",
       "L 494 -744 \n",
       "L 750 256 \n",
       "L 750 794 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-2212\" d=\"M 678 2272 \n",
       "L 4684 2272 \n",
       "L 4684 1741 \n",
       "L 678 1741 \n",
       "L 678 2272 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-58\" transform=\"translate(0 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-3d\" transform=\"translate(96.582031 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-41\" transform=\"translate(199.853516 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-42\" transform=\"translate(277.246094 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-2b\" transform=\"translate(374.306641 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-43\" transform=\"translate(478.935547 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-44\" transform=\"translate(552.324219 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-2c\" transform=\"translate(635.332031 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-64\" transform=\"translate(719.071941 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(782.548503 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-58\" transform=\"translate(821.562175 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-2212\" transform=\"translate(899.618816 38.965625)scale(0.7)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-31\" transform=\"translate(958.27116 38.965625)scale(0.7)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(1005.541667 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-3d\" transform=\"translate(1064.037761 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-2212\" transform=\"translate(1186.791667 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-58\" transform=\"translate(1290.063152 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-2212\" transform=\"translate(1368.119792 38.965625)scale(0.7)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-31\" transform=\"translate(1426.772136 38.965625)scale(0.7)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(1474.042644 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-64\" transform=\"translate(1513.056316 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-58\" transform=\"translate(1576.532878 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(1653.632488 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-58\" transform=\"translate(1692.64616 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-2212\" transform=\"translate(1770.7028 38.965625)scale(0.7)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-31\" transform=\"translate(1829.355144 38.965625)scale(0.7)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_10\">\n",
       "    <!-- $\\mathsf{d}(\\mathsf{tr}(\\mathbf{X}^{-1}))=\\mathsf{tr}(\\mathsf{d}(\\mathbf{X}^{-1}))$ -->\n",
       "    <g transform=\"translate(324.940732 558.500228)scale(0.1 -0.1)\">\n",
       "     <use xlink:href=\"#DejaVuSans-64\" transform=\"translate(0 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(63.476562 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-74\" transform=\"translate(102.490234 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-72\" transform=\"translate(141.699219 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(182.8125 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-58\" transform=\"translate(221.826172 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-2212\" transform=\"translate(299.882812 38.965625)scale(0.7)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-31\" transform=\"translate(358.535156 38.965625)scale(0.7)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(405.805664 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(444.819336 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-3d\" transform=\"translate(503.31543 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-74\" transform=\"translate(606.586914 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-72\" transform=\"translate(645.795898 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(686.90918 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-64\" transform=\"translate(725.922852 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(789.399414 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-58\" transform=\"translate(828.413086 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-2212\" transform=\"translate(906.469727 38.965625)scale(0.7)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-31\" transform=\"translate(965.12207 38.965625)scale(0.7)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(1012.392578 0.684375)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(1051.40625 0.684375)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_11\">\n",
       "    <!-- $\\mathbf{A}$ -->\n",
       "    <g transform=\"translate(605.21811 122.922419)scale(0.1 -0.1)\">\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-41\" transform=\"translate(0 0.09375)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_12\">\n",
       "    <!-- $\\mathbf{B}$ -->\n",
       "    <g transform=\"translate(485.002443 122.041265)scale(0.1 -0.1)\">\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-42\" transform=\"translate(0 0.09375)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_13\">\n",
       "    <!-- $\\mathbf{C}$ -->\n",
       "    <g transform=\"translate(107.18189 132.140077)scale(0.1 -0.1)\">\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-43\" transform=\"translate(0 0.78125)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_14\">\n",
       "    <!-- $\\mathbf{D}$ -->\n",
       "    <g transform=\"translate(195.500126 147.796295)scale(0.1 -0.1)\">\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-44\" transform=\"translate(0 0.09375)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_15\">\n",
       "    <!-- $\\times$ -->\n",
       "    <g transform=\"translate(500.073912 236.794984)scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-d7\" d=\"M 4488 3438 \n",
       "L 3059 2003 \n",
       "L 4488 575 \n",
       "L 4116 197 \n",
       "L 2681 1631 \n",
       "L 1247 197 \n",
       "L 878 575 \n",
       "L 2303 2003 \n",
       "L 878 3438 \n",
       "L 1247 3816 \n",
       "L 2681 2381 \n",
       "L 4116 3816 \n",
       "L 4488 3438 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-d7\" transform=\"translate(0 0.375)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_16\">\n",
       "    <!-- $\\times$ -->\n",
       "    <g transform=\"translate(241.096246 216.089808)scale(0.1 -0.1)\">\n",
       "     <use xlink:href=\"#DejaVuSans-d7\" transform=\"translate(0 0.375)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_17\">\n",
       "    <!-- $\\mathbf{+}$ -->\n",
       "    <g transform=\"translate(356.57371 322.056741)scale(0.1 -0.1)\">\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-2b\" transform=\"translate(0 0.296875)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_18\">\n",
       "    <!-- $\\mathsf{inv}$ -->\n",
       "    <g transform=\"translate(389.947247 396.946201)scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-76\" d=\"M 191 3500 \n",
       "L 800 3500 \n",
       "L 1894 563 \n",
       "L 2988 3500 \n",
       "L 3597 3500 \n",
       "L 2284 0 \n",
       "L 1503 0 \n",
       "L 191 3500 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-69\" transform=\"translate(0 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-6e\" transform=\"translate(27.783203 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-76\" transform=\"translate(91.162109 0.015625)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_19\">\n",
       "    <!-- $\\mathsf{tr}$ -->\n",
       "    <g transform=\"translate(375.253091 496.001096)scale(0.1 -0.1)\">\n",
       "     <use xlink:href=\"#DejaVuSans-74\" transform=\"translate(0 0.78125)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-72\" transform=\"translate(39.208984 0.78125)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "   <g id=\"text_20\">\n",
       "    <!-- $f(\\mathbf{A,B,C,D})$ -->\n",
       "    <g transform=\"translate(349.678373 620.277485)scale(0.1 -0.1)\">\n",
       "     <defs>\n",
       "      <path id=\"DejaVuSans-Oblique-66\" d=\"M 3059 4863 \n",
       "L 2969 4384 \n",
       "L 2419 4384 \n",
       "Q 2106 4384 1964 4261 \n",
       "Q 1822 4138 1753 3809 \n",
       "L 1691 3500 \n",
       "L 2638 3500 \n",
       "L 2553 3053 \n",
       "L 1606 3053 \n",
       "L 1013 0 \n",
       "L 434 0 \n",
       "L 1031 3053 \n",
       "L 481 3053 \n",
       "L 563 3500 \n",
       "L 1113 3500 \n",
       "L 1159 3744 \n",
       "Q 1278 4363 1576 4613 \n",
       "Q 1875 4863 2516 4863 \n",
       "L 3059 4863 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "      <path id=\"DejaVuSans-Bold-2c\" d=\"M 653 1209 \n",
       "L 1778 1209 \n",
       "L 1778 256 \n",
       "L 1006 -909 \n",
       "L 341 -909 \n",
       "L 653 256 \n",
       "L 653 1209 \n",
       "z\n",
       "\" transform=\"scale(0.015625)\"/>\n",
       "     </defs>\n",
       "     <use xlink:href=\"#DejaVuSans-Oblique-66\" transform=\"translate(0 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-28\" transform=\"translate(35.205078 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-41\" transform=\"translate(74.21875 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-2c\" transform=\"translate(151.611328 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-42\" transform=\"translate(210.439453 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-2c\" transform=\"translate(286.660156 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-43\" transform=\"translate(345.488281 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-2c\" transform=\"translate(418.876953 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-Bold-44\" transform=\"translate(477.705078 0.015625)\"/>\n",
       "     <use xlink:href=\"#DejaVuSans-29\" transform=\"translate(560.712891 0.015625)\"/>\n",
       "    </g>\n",
       "   </g>\n",
       "  </g>\n",
       " </g>\n",
       " <defs>\n",
       "  <clipPath id=\"p24a211a0e7\">\n",
       "   <rect x=\"11.234646\" y=\"19.634646\" width=\"697.530709\" height=\"697.530709\"/>\n",
       "  </clipPath>\n",
       " </defs>\n",
       "</svg>\n"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# define adjacency matrix for computational graph, square nodes = inputs, outputs; circular nodes = ops\n",
    "adjm = [\n",
    "    0 0 0 0 1 0 0 0 0 0;\n",
    "    0 0 0 0 1 0 0 0 0 0; \n",
    "    0 0 0 0 0 1 0 0 0 0;\n",
    "    0 0 0 0 0 1 0 0 0 0;\n",
    "    0 0 0 0 0 0 1 0 0 0;\n",
    "    0 0 0 0 0 0 1 0 0 0;\n",
    "    0 0 0 0 0 0 0 1 0 0;\n",
    "    0 0 0 0 0 0 0 0 1 0;\n",
    "    0 0 0 0 0 0 0 0 0 1;\n",
    "    0 0 0 0 0 0 0 0 0 0\n",
    "]\n",
    "p = SimpleDiGraph{UInt64}(adjm)\n",
    "\n",
    "# node and edge labeling and coloring\n",
    "nodelabel = [L\"\\mathbf{A}\", L\"\\mathbf{B}\", L\"\\mathbf{C}\", L\"\\mathbf{D}\", L\"\\times\", L\"\\times\", L\"\\mathbf{+}\", L\"\\mathsf{inv}\", L\"\\mathsf{tr}\", L\"f(\\mathbf{A,B,C,D})\"]\n",
    "membership = [1,1,1,1,2,2,2,2,2,3]\n",
    "nodecolor = [colorant\"lightseagreen\", colorant\"orange\", colorant\"turquoise\"]\n",
    "nodefillc = nodecolor[membership]\n",
    "nodeshape= [:circle,:circle,:circle,:circle,:circle,:circle,:circle,:circle,:circle,:circle]\n",
    "\n",
    "operatorlabels = [\n",
    "    L\"\\textsf{d}(\\mathbf{XY})\\to(\\textsf{d}\\mathbf{X})\\mathbf{Y}+\\mathbf{X}(\\textsf{d}\\mathbf{Y})\",\n",
    "    L\"\\textsf{d}(\\mathbf{X}+\\mathbf{Y})\\to\\textsf{d}\\mathbf{X}+\\textsf{d}\\mathbf{Y}\",\n",
    "    L\"\\textsf{d}(\\mathbf{X}^{-1})\\to-\\mathbf{X}^{-1}(\\textsf{d}\\mathbf{X})\\mathbf{X}^{-1}\",\n",
    "    L\"\\textsf{d}(\\mathsf{tr}\\mathbf{X})\\to\\mathsf{tr}(\\textsf{d}\\mathbf{X})\"\n",
    "]\n",
    "\n",
    "println(\"Primitive operators:\")\n",
    "for i in operatorlabels\n",
    "    display(i)\n",
    "end\n",
    "\n",
    "actual_op_labels = [\n",
    "    L\"\\mathsf{d}\\mathbf{A}\",\n",
    "    L\"\\mathsf{d}\\mathbf{B}\",\n",
    "    L\"\\mathsf{d}\\mathbf{C}\",\n",
    "    L\"\\mathsf{d}\\mathbf{D}\",\n",
    "    L\"\\mathsf{d}(\\mathbf{AB})=(\\mathsf{d}\\mathbf{A})\\mathbf{B}+\\mathbf{A}(\\mathsf{d}\\mathbf{B})\",\n",
    "    L\"\\mathsf{d}(\\mathbf{CD})=(\\mathsf{d}\\mathbf{C})\\mathbf{D}+\\mathbf{C}(\\mathsf{d}\\mathbf{D})\",\n",
    "    L\"\\mathsf{d}(\\mathbf{AB+CD})=\\mathsf{d}(\\mathbf{AB})+\\mathsf{d}(\\mathbf{CD})\",\n",
    "    L\"\\mathbf{X}=\\mathbf{AB+CD},~\\mathsf{d}(\\mathbf{X}^{-1})=-\\mathbf{X}^{-1}(\\mathsf{d}\\mathbf{X})\\mathbf{X}^{-1}\",\n",
    "    L\"\\mathsf{d}(\\mathsf{tr}(\\mathbf{X}^{-1}))=\\mathsf{tr}(\\mathsf{d}(\\mathbf{X}^{-1}))\"\n",
    "]\n",
    "\n",
    "edgelabels = Dict{Tuple{UInt64, UInt64},LaTeXString}()\n",
    "for (i,edge) in enumerate(edges(p))\n",
    "    edgelabels[(edge.src, edge.dst)] = actual_op_labels[i] # L\"\\beta_%$(edge.src)\"\n",
    "end\n",
    "\n",
    "digraph_p = graphplot(\n",
    "    p,\n",
    "    dim = 2, # dimensionality of plot, 3 actually looks like shit b/c you are viewing everything in 2-D\n",
    "    title = \"Problem 1 Computational Graph\", # plot title\n",
    "    fontsize = 10, # fontsize for all labels in figure, kind of rotates them...\n",
    "    size = (1000,1000), # (450,450), # size of plot in pixels\n",
    "    method = :tree, # controls layout of graph, from  `:spectral`, `:sfdp`, `:circular`, `:shell`, `:stress`, `:spring`, `:tree`, `:buchheim`, `:arcdiagram` or `:chorddiagram`\n",
    "    \n",
    "    names = nodelabel, # nodelabels, unfortunately using latex rescaled the nodesizes, need to shrink them further\n",
    "    nodeshape=nodeshape, # nodeshape, choose from :circle, :ellipse, :hexagon, :rectangle, ellipse/rect sucks for self-edges\n",
    "    nodesize = 0.02, # upper bound on the size of the largest node, rescaling to node_weights done based on this quantity\n",
    "    nodecolor = nodefillc, # color nodes by their membership\n",
    "    nodestrokewidth = zeros(nv(p)), # eliminates little black dots in centers of nodes\n",
    "    \n",
    "    edgelabel = edgelabels, # edgelabels in the form of a dict, (edge.src, edge.dst) => LaTeXString\n",
    "    edge_label_box = false, # turns off creating a box around the labels along the edges, if false labels appear coincident with edges\n",
    "    edgelabel_offset = 0.05, # edge label offset out and away from the strongest curvature point along the edge\n",
    "    curves = false, # false puts straight lines, undesired if loops exist!\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "a8b45441",
   "metadata": {},
   "outputs": [],
   "source": [
    "Pkg.instantiate(verbose=true)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 1.7.3",
   "language": "julia",
   "name": "julia-1.7"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}