mkitti/Manifest.toml

## README.md

      
    Raw
  

              README.md
            
          
SIR Model Prototype Notebook in Julia

  
## Manifest.toml
# This file is machine-generated - editing it directly is not advised

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version = "7.0.1"

[[LinearAlgebra]]
deps = ["Libdl"]
uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"

[[Logging]]
uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"

[[LoggingExtras]]
git-tree-sha1 = "c867b50bfc564f0beded1c566f4fc66cfd8b5418"
uuid = "e6f89c97-d47a-5376-807f-9c37f3926c36"
version = "0.4.0"

[[MLStyle]]
git-tree-sha1 = "67f9a88611bc79f992aa705d9bbc833a2547dec7"
uuid = "d8e11817-5142-5d16-987a-aa16d5891078"
version = "0.3.1"

[[MacroTools]]
deps = ["Markdown", "Random"]
git-tree-sha1 = "f7d2e3f654af75f01ec49be82c231c382214223a"
uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
version = "0.5.5"

[[Markdown]]
deps = ["Base64"]
uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"

[[MbedTLS]]
deps = ["Dates", "MbedTLS_jll", "Random", "Sockets"]
git-tree-sha1 = "a9e2221f06b42f56052f43ad7edecb01d0ef5ab4"
uuid = "739be429-bea8-5141-9913-cc70e7f3736d"
version = "1.0.1"

[[MbedTLS_jll]]
deps = ["Libdl", "Pkg"]
git-tree-sha1 = "066a4467008745eed36dad973ceb66405785a621"
uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
version = "2.16.0+1"

[[Measures]]
git-tree-sha1 = "e498ddeee6f9fdb4551ce855a46f54dbd900245f"
uuid = "442fdcdd-2543-5da2-b0f3-8c86c306513e"
version = "0.3.1"

[[Missings]]
deps = ["DataAPI"]
git-tree-sha1 = "de0a5ce9e5289f27df672ffabef4d1e5861247d5"
uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
version = "0.4.3"

[[Mmap]]
uuid = "a63ad114-7e13-5084-954f-fe012c677804"

[[ModelingToolkit]]
deps = ["DiffEqBase", "DiffRules", "Distributed", "DocStringExtensions", "GeneralizedGenerated", "Latexify", "LinearAlgebra", "MacroTools", "NaNMath", "SparseArrays", "SpecialFunctions", "StaticArrays"]
git-tree-sha1 = "fbd6b367d0d37b1533f71a44c20abc237eab6bc6"
uuid = "961ee093-0014-501f-94e3-6117800e7a78"
version = "1.4.2"

[[MuladdMacro]]
git-tree-sha1 = "c6190f9a7fc5d9d5915ab29f2134421b12d24a68"
uuid = "46d2c3a1-f734-5fdb-9937-b9b9aeba4221"
version = "0.2.2"

[[MultiScaleArrays]]
deps = ["DiffEqBase", "RecursiveArrayTools", "Statistics", "StochasticDiffEq", "TreeViews"]
git-tree-sha1 = "c69e4a0db8d482a825c7ac76a433759ade2a5af2"
uuid = "f9640e96-87f6-5992-9c3b-0743c6a49ffa"
version = "1.6.0"

[[NLSolversBase]]
deps = ["DiffResults", "Distributed", "FiniteDiff", "ForwardDiff"]
git-tree-sha1 = "7c4e66c47848562003250f28b579c584e55becc0"
uuid = "d41bc354-129a-5804-8e4c-c37616107c6c"
version = "7.6.1"

[[NLsolve]]
deps = ["Distances", "LineSearches", "LinearAlgebra", "NLSolversBase", "Printf", "Reexport"]
git-tree-sha1 = "cce0463af83a0f36c7bfa5820e373ac090cc46ad"
uuid = "2774e3e8-f4cf-5e23-947b-6d7e65073b56"
version = "4.3.0"

[[NaNMath]]
git-tree-sha1 = "928b8ca9b2791081dc71a51c55347c27c618760f"
uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
version = "0.3.3"

[[NameResolution]]
deps = ["DataStructures", "PrettyPrint"]
git-tree-sha1 = "f4119274d5a410c64a1d9f546312bb6ae54d41c0"
uuid = "71a1bf82-56d0-4bbc-8a3c-48b961074391"
version = "0.1.3"

[[Observables]]
deps = ["Test"]
git-tree-sha1 = "dc02cec22747d1d10d9f70d8a1c03432b5bfbcd0"
uuid = "510215fc-4207-5dde-b226-833fc4488ee2"
version = "0.2.3"

[[Ogg_jll]]
deps = ["Libdl", "Pkg"]
git-tree-sha1 = "f4d4d03c562f40652c0baabd3e4cb2e756e157b7"
uuid = "e7412a2a-1a6e-54c0-be00-318e2571c051"
version = "1.3.3+0"

[[OpenSSL_jll]]
deps = ["Libdl", "Pkg"]
git-tree-sha1 = "33661eb9d5484220b4367d067f499b30bafc9c12"
uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
version = "1.1.1+1"

[[OpenSpecFun_jll]]
deps = ["CompilerSupportLibraries_jll", "Libdl", "Pkg"]
git-tree-sha1 = "d51c416559217d974a1113522d5919235ae67a87"
uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
version = "0.5.3+3"

[[Opus_jll]]
deps = ["Libdl", "Pkg"]
git-tree-sha1 = "c9931bf2fcdb57b48c227395c61ea82603212f7d"
uuid = "91d4177d-7536-5919-b921-800302f37372"
version = "1.3.1+0"

[[OrderedCollections]]
deps = ["Random", "Serialization", "Test"]
git-tree-sha1 = "c4c13474d23c60d20a67b217f1d7f22a40edf8f1"
uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
version = "1.1.0"

[[OrdinaryDiffEq]]
deps = ["ArrayInterface", "DataStructures", "DiffEqBase", "ExponentialUtilities", "FiniteDiff", "ForwardDiff", "GenericSVD", "LinearAlgebra", "Logging", "MacroTools", "MuladdMacro", "NLsolve", "RecursiveArrayTools", "Reexport", "SparseArrays", "SparseDiffTools", "StaticArrays", "UnPack"]
git-tree-sha1 = "8351ae59bb662f19464691823aaf8a235e8005db"
uuid = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
version = "5.32.0"

[[ParameterizedFunctions]]
deps = ["DataStructures", "DiffEqBase", "LinearAlgebra", "ModelingToolkit"]
git-tree-sha1 = "23ccaee3dd3a6d104a381011d715964dd2943491"
uuid = "65888b18-ceab-5e60-b2b9-181511a3b968"
version = "5.0.3"

[[Parameters]]
deps = ["OrderedCollections"]
git-tree-sha1 = "b62b2558efb1eef1fa44e4be5ff58a515c287e38"
uuid = "d96e819e-fc66-5662-9728-84c9c7592b0a"
version = "0.12.0"

[[Parsers]]
deps = ["Dates", "Test"]
git-tree-sha1 = "0c16b3179190d3046c073440d94172cfc3bb0553"
uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
version = "0.3.12"

[[Pidfile]]
deps = ["FileWatching", "Test"]
git-tree-sha1 = "1ffd82728498b5071cde851bbb7abd780d4445f3"
uuid = "fa939f87-e72e-5be4-a000-7fc836dbe307"
version = "1.1.0"

[[Pkg]]
deps = ["Dates", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Test", "UUIDs"]
uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"

[[PlotThemes]]
deps = ["PlotUtils", "Requires", "Statistics"]
git-tree-sha1 = "df772cc7c78862da96af1ee85cd0111c6640e44e"
uuid = "ccf2f8ad-2431-5c83-bf29-c5338b663b6a"
version = "1.0.1"

[[PlotUtils]]
deps = ["Colors", "Dates", "Printf", "Random", "Reexport"]
git-tree-sha1 = "132e468bf7d67ee6c997c160b982a7ab2e7c3e37"
uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
version = "0.6.4"

[[Plots]]
deps = ["Base64", "Contour", "Dates", "FFMPEG", "FixedPointNumbers", "GR", "GeometryTypes", "JSON", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "Printf", "REPL", "Random", "RecipesBase", "Reexport", "Requires", "Showoff", "SparseArrays", "Statistics", "StatsBase", "UUIDs"]
git-tree-sha1 = "a4b22be3bb271cf46466e44009b5788ef4aaef7d"
uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
version = "0.29.8"

[[PoissonRandom]]
deps = ["Random", "Statistics", "Test"]
git-tree-sha1 = "44d018211a56626288b5d3f8c6497d28c26dc850"
uuid = "e409e4f3-bfea-5376-8464-e040bb5c01ab"
version = "0.4.0"

[[PrettyPrint]]
git-tree-sha1 = "21e1f88cb73589ec39a1181f77eb444b5276151e"
uuid = "8162dcfd-2161-5ef2-ae6c-7681170c5f98"
version = "0.1.0"

[[Printf]]
deps = ["Unicode"]
uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"

[[ProgressLogging]]
deps = ["Logging", "SHA", "UUIDs"]
git-tree-sha1 = "e47914361d124d8760f5e356403daeb7f3b81633"
uuid = "33c8b6b6-d38a-422a-b730-caa89a2f386c"
version = "0.1.2"

[[ProgressMeter]]
deps = ["Distributed", "Printf"]
git-tree-sha1 = "ea1f4fa0ff5e8b771bf130d87af5b7ef400760bd"
uuid = "92933f4c-e287-5a05-a399-4b506db050ca"
version = "1.2.0"

[[REPL]]
deps = ["InteractiveUtils", "Markdown", "Sockets"]
uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"

[[Random]]
deps = ["Serialization"]
uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"

[[RandomNumbers]]
deps = ["Random", "Requires"]
git-tree-sha1 = "441e6fc35597524ada7f85e13df1f4e10137d16f"
uuid = "e6cf234a-135c-5ec9-84dd-332b85af5143"
version = "1.4.0"

[[RecipesBase]]
git-tree-sha1 = "b4ed4a7f988ea2340017916f7c9e5d7560b52cae"
uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
version = "0.8.0"

[[RecursiveArrayTools]]
deps = ["ArrayInterface", "RecipesBase", "Requires", "StaticArrays", "Statistics", "ZygoteRules"]
git-tree-sha1 = "bd13db2a3561fb3a3635220c5ee21e3356d7631e"
uuid = "731186ca-8d62-57ce-b412-fbd966d074cd"
version = "2.1.0"

[[RecursiveFactorization]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "6761a5d1f9646affb2a369ff932841fff77934a3"
uuid = "f2c3362d-daeb-58d1-803e-2bc74f2840b4"
version = "0.1.0"

[[Reexport]]
deps = ["Pkg"]
git-tree-sha1 = "7b1d07f411bc8ddb7977ec7f377b97b158514fe0"
uuid = "189a3867-3050-52da-a836-e630ba90ab69"
version = "0.2.0"

[[Requires]]
deps = ["UUIDs"]
git-tree-sha1 = "d37400976e98018ee840e0ca4f9d20baa231dc6b"
uuid = "ae029012-a4dd-5104-9daa-d747884805df"
version = "1.0.1"

[[ResettableStacks]]
deps = ["StaticArrays"]
git-tree-sha1 = "d19e9c93de6020a96dbb2820567c78d0ab8f7248"
uuid = "ae5879a3-cd67-5da8-be7f-38c6eb64a37b"
version = "1.0.0"

[[Roots]]
deps = ["Printf"]
git-tree-sha1 = "955ce06c1f424ca7043c7827f5cb14d8eb397065"
uuid = "f2b01f46-fcfa-551c-844a-d8ac1e96c665"
version = "1.0.1"

[[SHA]]
uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"

[[Serialization]]
uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"

[[SharedArrays]]
deps = ["Distributed", "Mmap", "Random", "Serialization"]
uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"

[[Showoff]]
deps = ["Dates"]
git-tree-sha1 = "e032c9df551fb23c9f98ae1064de074111b7bc39"
uuid = "992d4aef-0814-514b-bc4d-f2e9a6c4116f"
version = "0.3.1"

[[SimpleTraits]]
deps = ["InteractiveUtils", "MacroTools"]
git-tree-sha1 = "2bdf3b6300a9d66fe29ee8bb51ba100c4df9ecbc"
uuid = "699a6c99-e7fa-54fc-8d76-47d257e15c1d"
version = "0.9.1"

[[Sockets]]
uuid = "6462fe0b-24de-5631-8697-dd941f90decc"

[[SortingAlgorithms]]
deps = ["DataStructures", "Random", "Test"]
git-tree-sha1 = "03f5898c9959f8115e30bc7226ada7d0df554ddd"
uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
version = "0.3.1"

[[SparseArrays]]
deps = ["LinearAlgebra", "Random"]
uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"

[[SparseDiffTools]]
deps = ["Adapt", "ArrayInterface", "Compat", "DataStructures", "FiniteDiff", "ForwardDiff", "InteractiveUtils", "LightGraphs", "LinearAlgebra", "Requires", "SparseArrays", "VertexSafeGraphs"]
git-tree-sha1 = "6429f706e7da24a8c1c5e0416c3f0ce9974ab991"
uuid = "47a9eef4-7e08-11e9-0b38-333d64bd3804"
version = "1.4.0"

[[SpecialFunctions]]
deps = ["OpenSpecFun_jll"]
git-tree-sha1 = "e19b98acb182567bcb7b75bb5d9eedf3a3b5ec6c"
uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
version = "0.10.0"

[[StaticArrays]]
deps = ["LinearAlgebra", "Random", "Statistics"]
git-tree-sha1 = "5a3bcb6233adabde68ebc97be66e95dcb787424c"
uuid = "90137ffa-7385-5640-81b9-e52037218182"
version = "0.12.1"

[[Statistics]]
deps = ["LinearAlgebra", "SparseArrays"]
uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"

[[StatsBase]]
deps = ["DataAPI", "DataStructures", "LinearAlgebra", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics"]
git-tree-sha1 = "19bfcb46245f69ff4013b3df3b977a289852c3a1"
uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
version = "0.32.2"

[[SteadyStateDiffEq]]
deps = ["DiffEqBase", "DiffEqCallbacks", "LinearAlgebra", "NLsolve", "Reexport"]
git-tree-sha1 = "9a2de84a1618e1702dbb95ebdbb84dbf7f24d1ab"
uuid = "9672c7b4-1e72-59bd-8a11-6ac3964bc41f"
version = "1.5.0"

[[StochasticDiffEq]]
deps = ["ArrayInterface", "DataStructures", "DiffEqBase", "DiffEqNoiseProcess", "FillArrays", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "Logging", "MuladdMacro", "NLsolve", "Parameters", "Random", "RandomNumbers", "RecursiveArrayTools", "Reexport", "SparseArrays", "SparseDiffTools", "StaticArrays"]
git-tree-sha1 = "d7c979f831943fb1d870c862a0d60c5f475c56af"
uuid = "789caeaf-c7a9-5a7d-9973-96adeb23e2a0"
version = "6.19.1"

[[SuiteSparse]]
deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"]
uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9"

[[Sundials]]
deps = ["BinaryProvider", "DataStructures", "DiffEqBase", "Libdl", "LinearAlgebra", "Logging", "Reexport", "SparseArrays", "SuiteSparse"]
git-tree-sha1 = "d6e23d712b0ec7161174acbc82fd224cde3e3103"
uuid = "c3572dad-4567-51f8-b174-8c6c989267f4"
version = "3.9.0"

[[TableTraits]]
deps = ["IteratorInterfaceExtensions"]
git-tree-sha1 = "b1ad568ba658d8cbb3b892ed5380a6f3e781a81e"
uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c"
version = "1.0.0"

[[TerminalLoggers]]
deps = ["LeftChildRightSiblingTrees", "Logging", "Markdown", "Printf", "ProgressLogging", "UUIDs"]
git-tree-sha1 = "8c05be75dfe73d90e5dfb6293e0c852013f7282d"
uuid = "5d786b92-1e48-4d6f-9151-6b4477ca9bed"
version = "0.1.1"

[[Test]]
deps = ["Distributed", "InteractiveUtils", "Logging", "Random"]
uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"

[[TreeViews]]
deps = ["Test"]
git-tree-sha1 = "8d0d7a3fe2f30d6a7f833a5f19f7c7a5b396eae6"
uuid = "a2a6695c-b41b-5b7d-aed9-dbfdeacea5d7"
version = "0.3.0"

[[UUIDs]]
deps = ["Random", "SHA"]
uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"

[[UnPack]]
git-tree-sha1 = "e0cb9715adda456f7657e45377fd3063bf87179a"
uuid = "3a884ed6-31ef-47d7-9d2a-63182c4928ed"
version = "0.1.0"

[[Unicode]]
uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"

[[VertexSafeGraphs]]
deps = ["LightGraphs"]
git-tree-sha1 = "35060f8047a2b79bdc8e4961bbbd2b7e30e62709"
uuid = "19fa3120-7c27-5ec5-8db8-b0b0aa330d6f"
version = "0.1.1"

[[WebIO]]
deps = ["AssetRegistry", "Base64", "Distributed", "FunctionalCollections", "JSON", "Logging", "Observables", "Pkg", "Random", "Requires", "Sockets", "UUIDs", "WebSockets", "Widgets"]
git-tree-sha1 = "b8eb800251c06efd635bcdc4ec7f83643f0b9a61"
uuid = "0f1e0344-ec1d-5b48-a673-e5cf874b6c29"
version = "0.8.13"

[[WebSockets]]
deps = ["Base64", "Dates", "Distributed", "HTTP", "Logging", "Random", "Sockets", "Test"]
git-tree-sha1 = "13f763d38c7a05688938808b49cb29b18b60c8c8"
uuid = "104b5d7c-a370-577a-8038-80a2059c5097"
version = "1.5.2"

[[Widgets]]
deps = ["Colors", "Dates", "Observables", "OrderedCollections"]
git-tree-sha1 = "fc0feda91b3fef7fe6948ee09bb628f882b49ca4"
uuid = "cc8bc4a8-27d6-5769-a93b-9d913e69aa62"
version = "0.6.2"

[[Zlib_jll]]
deps = ["Libdl", "Pkg"]
git-tree-sha1 = "fd36a6739e256527287c5444960d0266712cd49e"
uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
version = "1.2.11+8"

[[ZygoteRules]]
deps = ["MacroTools"]
git-tree-sha1 = "b3b4882cc9accf6731a08cc39543fbc6b669dca8"
uuid = "700de1a5-db45-46bc-99cf-38207098b444"
version = "0.2.0"

[[libass_jll]]
deps = ["Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "3fd3ea3525f2e3d337c54a52b2ca78a5a272bbf5"
uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0"
version = "0.14.0+0"

[[libfdk_aac_jll]]
deps = ["Libdl", "Pkg"]
git-tree-sha1 = "0e4ace600c20714a8dd67700c4502714d8473e8e"
uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
version = "0.1.6+1"

[[libvorbis_jll]]
deps = ["Libdl", "Ogg_jll", "Pkg"]
git-tree-sha1 = "71e54fb89ac3e0344c7185d1876fd96b0f246952"
uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
version = "1.3.6+2"

[[x264_jll]]
deps = ["Libdl", "Pkg"]
git-tree-sha1 = "23664c0757c3740050ca0e22944c786c165ca25a"
uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
version = "2019.5.25+1"

[[x265_jll]]
deps = ["Libdl", "Pkg"]
git-tree-sha1 = "9345e417084421a8e91373d6196bc58e660eed2a"
uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
version = "3.0.0+0"

## postBuild
#!/bin/bash
julia -e 'using WebIO; WebIO.install_jupyter_nbextension();'

## Project.toml
[deps]
DifferentialEquations = "0c46a032-eb83-5123-abaf-570d42b7fbaa"
Interact = "c601a237-2ae4-5e1e-952c-7a85b0c7eef1"
ModelingToolkit = "961ee093-0014-501f-94e3-6117800e7a78"
Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
WebIO = "0f1e0344-ec1d-5b48-a673-e5cf874b6c29"

## sir_prototype.ipynb
{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<script>\n",
       "// Immediately-invoked-function-expression to avoid global variables.\n",
       "(function() {\n",
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       "    the WebIO/IJulia documentation</a>.\n",
       "    <!-- TODO: link to installation docs. -->\n",
       "</p>\n"
      ],
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "using ModelingToolkit\n",
    "using DifferentialEquations\n",
    "using Interact\n",
    "using Plots"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((D'~t),)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "@parameters t, β,γ\n",
    "@variables S(t), I(t), R(t)\n",
    "@derivatives D'~t"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "ODESystem(ModelingToolkit.DiffEq[ModelingToolkit.DiffEq(S, 1, (-β * S(t)) * I(t)), ModelingToolkit.DiffEq(I, 1, (β * S(t)) * I(t) - γ * I(t)), ModelingToolkit.DiffEq(R, 1, γ * I(t))], t, Variable[S, I, R], Variable[β, γ], Base.RefValue{Array{Expression,1}}(Expression[]), Base.RefValue{Array{Expression,2}}(Array{Expression}(undef,0,0)), Base.RefValue{Array{Expression,2}}(Array{Expression}(undef,0,0)), Base.RefValue{Array{Expression,2}}(Array{Expression}(undef,0,0)))"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eqs = [D(S) ~ -β*S*I,\n",
    "       D(I) ~ β*S*I - γ*I,\n",
    "       D(R) ~ γ*I]\n",
    "de = ODESystem(eqs, t, [S,I,R], [β,γ])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "f = ODEFunction(de, [S,I,R], [β,γ]);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "\u001b[36mODEProblem\u001b[0m with uType \u001b[36mArray{Float64,1}\u001b[0m and tType \u001b[36mFloat64\u001b[0m. In-place: \u001b[36mtrue\u001b[0m\n",
       "timespan: (0.0, 5.0)\n",
       "u0: [1000.0, 1.0, 0.0]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "u0 = [1000.,1.,0.]\n",
    "tspan0 = [0.,5.]\n",
    "p0 = [0.01,1]\n",
    "prob = ODEProblem(f,u0,tspan0,p0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "retcode: Success\n",
       "Interpolation: Automatic order switching interpolation\n",
       "t: 31-element Array{Float64,1}:\n",
       " 0.0                  \n",
       " 0.0014134495017418798\n",
       " 0.010630670069939053 \n",
       " 0.030931340964383873 \n",
       " 0.060665581217199484 \n",
       " 0.09831219050811063  \n",
       " 0.14552119975650263  \n",
       " 0.2015825847354698   \n",
       " 0.26666144011033954  \n",
       " 0.34025986339405884  \n",
       " 0.42225377447336615  \n",
       " 0.5128695650266072   \n",
       " 0.6135141245787036   \n",
       " ⋮                    \n",
       " 1.504591386071962    \n",
       " 1.6587790809322078   \n",
       " 1.823676108663802    \n",
       " 2.018688216675325    \n",
       " 2.2488493719967284   \n",
       " 2.5566440754414974   \n",
       " 2.8823842872266097   \n",
       " 3.26320397726209     \n",
       " 3.6996311950475653   \n",
       " 4.2228327510493076   \n",
       " 4.824754673483345    \n",
       " 5.0                  \n",
       "u: 31-element Array{Array{Float64,1},1}:\n",
       " [1000.0, 1.0, 0.0]                                           \n",
       " [999.9857753214192, 1.0128022006055988, 0.001422477975255406]\n",
       " [999.8884480988701, 1.100396088779351, 0.011155812350595418] \n",
       " [999.6434136761693, 1.3209213322480609, 0.035664991582623456]\n",
       " [999.1933718128536, 1.725932818532611, 0.08069536861381996]  \n",
       " [998.4210650781803, 2.420916647041703, 0.15801827477804747]  \n",
       " [997.0009902472086, 3.6986581785271713, 0.30035157426426407] \n",
       " [994.3188982980286, 6.111371687307338, 0.5697300146641738]   \n",
       " [988.9710672908136, 10.919912769980904, 1.109019939205594]   \n",
       " [977.8277549777987, 20.930072634835582, 2.242172387365825]   \n",
       " [953.6402570240602, 42.612879838700245, 4.7468631372396315]  \n",
       " [900.0763566100759, 90.39615977415541, 10.52748361576872]    \n",
       " [784.7985759609479, 191.96898467329635, 24.2324393657557]    \n",
       " ⋮                                                            \n",
       " [6.090913433169163, 484.8386738538551, 510.0704127129759]    \n",
       " [3.03886527027722, 418.35871419027075, 579.6024205394522]    \n",
       " [1.6068002435223212, 356.06613081215215, 643.3270689443257]  \n",
       " [0.854376306360525, 293.65455279708004, 706.4910708965596]   \n",
       " [0.466932466452866, 233.62144184946445, 766.9116256840829]   \n",
       " [0.25138023582546354, 171.9084471982074, 828.8401725659674]  \n",
       " [0.1558553333169897, 124.19644370615332, 876.6477009605298]  \n",
       " [0.10516629331029327, 84.90474207779681, 915.9900916288931]  \n",
       " [0.07788579122887271, 54.89905851832203, 946.0230556904493]  \n",
       " [0.06227680067189368, 32.54621420349108, 968.3915089958372]  \n",
       " [0.05375300959239672, 17.83385201920015, 983.1123949712076]  \n",
       " [0.05223384419453331, 14.968469411018475, 985.9792967447871] "
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     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s = solve(prob)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
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       "  194.041,86.2547 196.202,86.3213 198.363,86.3909 200.524,86.4637 202.685,86.5399 204.846,86.6196 207.007,86.703 209.168,86.7902 211.328,86.8814 213.489,86.9768 \n",
       "  215.65,87.0765 217.811,87.1809 219.972,87.2901 222.133,87.4042 224.294,87.5236 226.455,87.6486 228.615,87.7792 230.776,87.9158 232.937,88.0587 235.098,88.2082 \n",
       "  237.259,88.3645 239.42,88.528 241.581,88.699 243.742,88.8778 245.902,89.0648 248.063,89.2604 250.224,89.4649 252.385,89.6788 254.546,89.9025 256.707,90.1365 \n",
       "  258.868,90.3811 261.029,90.6369 263.189,90.9044 265.35,91.1841 267.511,91.4765 269.672,91.7823 271.833,92.1021 273.994,92.4364 276.155,92.786 278.316,93.1515 \n",
       "  280.476,93.5336 282.637,93.933 284.798,94.3507 286.959,94.7873 289.12,95.2436 291.281,95.7207 293.442,96.2194 295.603,96.7406 297.763,97.2854 299.924,97.8549 \n",
       "  302.085,98.45 304.246,99.072 306.407,99.7221 308.568,100.401 310.729,101.111 312.89,101.853 315.051,102.628 317.211,103.437 319.372,104.283 321.533,105.166 \n",
       "  323.694,106.089 325.855,107.053 328.016,108.06 330.177,109.111 332.338,110.209 334.498,111.356 336.659,112.553 338.82,113.803 340.981,115.108 343.142,116.47 \n",
       "  345.303,117.891 347.464,119.374 349.625,120.922 351.785,122.537 353.946,124.222 356.107,125.979 358.268,127.812 360.429,129.724 362.59,131.717 364.751,133.795 \n",
       "  366.912,135.962 369.072,138.219 371.233,140.572 373.394,143.024 375.555,145.577 377.716,148.236 379.877,151.005 382.038,153.887 384.199,156.887 386.359,160.009 \n",
       "  388.52,163.258 390.681,166.637 392.842,170.151 395.003,173.805 397.164,177.603 399.325,181.549 401.486,185.648 403.646,189.905 405.807,194.324 407.968,198.909 \n",
       "  410.129,203.667 412.29,208.601 414.451,213.716 416.612,219.016 418.773,224.506 420.933,230.191 423.094,236.075 425.255,242.164 427.416,248.461 429.577,254.972 \n",
       "  431.738,261.7 433.899,268.649 436.06,275.823 438.22,283.223 440.381,290.855 442.542,298.719 444.703,306.818 446.864,315.155 449.025,323.73 451.186,332.546 \n",
       "  453.347,341.603 455.507,350.903 457.668,360.445 459.829,370.231 461.99,380.259 464.151,390.528 466.312,401.035 468.473,411.777 470.634,422.752 472.794,433.954 \n",
       "  474.955,445.38 477.116,457.024 479.277,468.88 481.438,480.942 483.599,493.204 485.76,505.657 487.921,518.293 490.081,531.105 492.242,544.082 494.403,557.215 \n",
       "  496.564,570.494 498.725,583.908 500.886,597.445 503.047,611.093 505.208,624.839 507.368,638.671 509.529,652.578 511.69,666.548 513.851,680.565 516.012,694.615 \n",
       "  518.173,708.682 520.334,722.751 522.495,736.81 524.655,750.843 526.816,764.838 528.977,778.781 531.138,792.659 533.299,806.462 535.46,820.175 537.621,833.789 \n",
       "  539.782,847.291 541.942,860.671 544.103,873.919 546.264,887.024 548.425,899.977 550.586,912.768 552.747,925.389 554.908,937.831 557.069,950.085 559.229,962.144 \n",
       "  561.39,974 563.551,985.647 565.712,997.078 567.873,1008.29 570.034,1019.28 572.195,1030.05 574.356,1040.6 576.516,1050.91 578.677,1061 580.838,1070.86 \n",
       "  582.999,1080.49 585.16,1089.89 587.321,1099.06 589.482,1108 591.643,1116.72 593.803,1125.2 595.964,1133.46 598.125,1141.5 600.286,1149.31 602.447,1156.91 \n",
       "  604.608,1164.29 606.769,1171.45 608.93,1178.41 611.09,1185.16 613.251,1191.7 615.412,1198.05 617.573,1204.21 619.734,1210.18 621.895,1215.97 624.056,1221.58 \n",
       "  626.217,1227.02 628.377,1232.28 630.538,1237.38 632.699,1242.31 634.86,1247.09 637.021,1251.71 639.182,1256.18 641.343,1260.51 643.504,1264.68 645.664,1268.72 \n",
       "  647.825,1272.62 649.986,1276.39 652.147,1280.03 654.308,1283.55 656.469,1286.94 658.63,1290.22 660.791,1293.38 662.951,1296.43 665.112,1299.37 667.273,1302.21 \n",
       "  669.434,1304.96 671.595,1307.6 673.756,1310.15 675.917,1312.62 678.078,1315 680.238,1317.3 682.399,1319.52 684.56,1321.67 686.721,1323.75 688.882,1325.76 \n",
       "  691.043,1327.7 693.204,1329.57 695.365,1331.38 697.525,1333.12 699.686,1334.81 701.847,1336.44 704.008,1338.01 706.169,1339.53 708.33,1340.99 710.491,1342.41 \n",
       "  712.652,1343.78 714.812,1345.1 716.973,1346.37 719.134,1347.6 721.295,1348.79 723.456,1349.94 725.617,1351.06 727.778,1352.13 729.939,1353.17 732.099,1354.17 \n",
       "  734.26,1355.14 736.421,1356.08 738.582,1356.98 740.743,1357.86 742.904,1358.7 745.065,1359.52 747.226,1360.31 749.386,1361.08 751.547,1361.82 753.708,1362.53 \n",
       "  755.869,1363.22 758.03,1363.89 760.191,1364.54 762.352,1365.17 764.513,1365.77 766.673,1366.36 768.834,1366.93 770.995,1367.47 773.156,1368.01 775.317,1368.52 \n",
       "  777.478,1369.02 779.639,1369.5 781.8,1369.97 783.96,1370.42 786.121,1370.86 788.282,1371.28 790.443,1371.7 792.604,1372.1 794.765,1372.48 796.926,1372.86 \n",
       "  799.087,1373.22 801.247,1373.57 803.408,1373.91 805.569,1374.24 807.73,1374.56 809.891,1374.87 812.052,1375.18 814.213,1375.47 816.374,1375.75 818.534,1376.03 \n",
       "  820.695,1376.29 822.856,1376.55 825.017,1376.8 827.178,1377.05 829.339,1377.28 831.5,1377.51 833.661,1377.74 835.821,1377.95 837.982,1378.16 840.143,1378.37 \n",
       "  842.304,1378.57 844.465,1378.76 846.626,1378.95 848.787,1379.13 850.948,1379.31 853.108,1379.48 855.269,1379.65 857.43,1379.81 859.591,1379.97 861.752,1380.12 \n",
       "  863.913,1380.27 866.074,1380.41 868.235,1380.56 870.395,1380.69 872.556,1380.83 874.717,1380.96 876.878,1381.08 879.039,1381.21 881.2,1381.32 883.361,1381.44 \n",
       "  885.522,1381.55 887.682,1381.66 889.843,1381.77 892.004,1381.88 894.165,1381.98 896.326,1382.08 898.487,1382.17 900.648,1382.27 902.809,1382.36 904.969,1382.45 \n",
       "  907.13,1382.54 909.291,1382.62 911.452,1382.7 913.613,1382.78 915.774,1382.86 917.935,1382.94 920.096,1383.01 922.256,1383.09 924.417,1383.16 926.578,1383.23 \n",
       "  928.739,1383.29 930.9,1383.36 933.061,1383.42 935.222,1383.49 937.383,1383.55 939.543,1383.61 941.704,1383.66 943.865,1383.72 946.026,1383.78 948.187,1383.83 \n",
       "  950.348,1383.88 952.509,1383.94 954.67,1383.99 956.83,1384.03 958.991,1384.08 961.152,1384.13 963.313,1384.17 965.474,1384.22 967.635,1384.26 969.796,1384.31 \n",
       "  971.957,1384.35 974.117,1384.39 976.278,1384.43 978.439,1384.47 980.6,1384.5 982.761,1384.54 984.922,1384.58 987.083,1384.61 989.244,1384.65 991.404,1384.68 \n",
       "  993.565,1384.72 995.726,1384.75 997.887,1384.78 1000.05,1384.81 1002.21,1384.84 1004.37,1384.87 1006.53,1384.9 1008.69,1384.93 1010.85,1384.96 1013.01,1384.98 \n",
       "  1015.17,1385.01 1017.33,1385.04 1019.5,1385.06 1021.66,1385.09 1023.82,1385.11 1025.98,1385.13 1028.14,1385.16 1030.3,1385.18 1032.46,1385.2 1034.62,1385.23 \n",
       "  1036.78,1385.25 1038.94,1385.27 1041.1,1385.29 1043.27,1385.31 1045.43,1385.33 1047.59,1385.35 1049.75,1385.37 1051.91,1385.39 1054.07,1385.41 1056.23,1385.42 \n",
       "  1058.39,1385.44 1060.55,1385.46 1062.71,1385.47 1064.87,1385.49 1067.04,1385.51 1069.2,1385.52 1071.36,1385.54 1073.52,1385.55 1075.68,1385.57 1077.84,1385.58 \n",
       "  1080,1385.6 1082.16,1385.61 1084.32,1385.63 1086.48,1385.64 1088.64,1385.65 1090.8,1385.67 1092.97,1385.68 1095.13,1385.69 1097.29,1385.71 1099.45,1385.72 \n",
       "  1101.61,1385.73 1103.77,1385.74 1105.93,1385.75 1108.09,1385.76 1110.25,1385.78 1112.41,1385.79 1114.57,1385.8 1116.74,1385.81 1118.9,1385.82 1121.06,1385.83 \n",
       "  1123.22,1385.84 1125.38,1385.85 1127.54,1385.86 1129.7,1385.87 1131.86,1385.88 1134.02,1385.89 1136.18,1385.89 1138.34,1385.9 1140.5,1385.91 1142.67,1385.92 \n",
       "  1144.83,1385.93 1146.99,1385.94 1149.15,1385.95 1151.31,1385.95 1153.47,1385.96 1155.63,1385.97 1157.79,1385.98 1159.95,1385.98 1162.11,1385.99 1164.27,1386 \n",
       "  1166.44,1386.01 1168.6,1386.01 1170.76,1386.02 1172.92,1386.03 1175.08,1386.03 1177.24,1386.04 1179.4,1386.05 1181.56,1386.05 1183.72,1386.06 1185.88,1386.06 \n",
       "  1188.04,1386.07 1190.2,1386.08 1192.37,1386.08 1194.53,1386.09 1196.69,1386.09 1198.85,1386.1 1201.01,1386.1 1203.17,1386.11 1205.33,1386.12 1207.49,1386.12 \n",
       "  1209.65,1386.13 1211.81,1386.13 1213.97,1386.14 1216.14,1386.14 1218.3,1386.15 1220.46,1386.15 1222.62,1386.15 1224.78,1386.16 1226.94,1386.16 1229.1,1386.17 \n",
       "  1231.26,1386.17 1233.42,1386.18 1235.58,1386.18 1237.74,1386.19 1239.91,1386.19 1242.07,1386.19 1244.23,1386.2 1246.39,1386.2 1248.55,1386.21 1250.71,1386.21 \n",
       "  1252.87,1386.21 1255.03,1386.22 1257.19,1386.22 1259.35,1386.22 1261.51,1386.23 1263.67,1386.23 1265.84,1386.23 1268,1386.24 1270.16,1386.24 1272.32,1386.25 \n",
       "  1274.48,1386.25 1276.64,1386.25 1278.8,1386.25 1280.96,1386.26 1283.12,1386.26 1285.28,1386.26 1287.44,1386.27 1289.61,1386.27 1291.77,1386.27 1293.93,1386.28 \n",
       "  1296.09,1386.28 1298.25,1386.28 1300.41,1386.28 1302.57,1386.29 1304.73,1386.29 1306.89,1386.29 1309.05,1386.3 1311.21,1386.3 1313.37,1386.3 1315.54,1386.3 \n",
       "  1317.7,1386.31 1319.86,1386.31 1322.02,1386.31 1324.18,1386.31 1326.34,1386.32 1328.5,1386.32 1330.66,1386.32 1332.82,1386.32 1334.98,1386.32 1337.14,1386.33 \n",
       "  1339.31,1386.33 1341.47,1386.33 1343.63,1386.33 1345.79,1386.34 1347.95,1386.34 1350.11,1386.34 1352.27,1386.34 1354.43,1386.34 1356.59,1386.35 1358.75,1386.35 \n",
       "  1360.91,1386.35 1363.08,1386.35 1365.24,1386.35 1367.4,1386.35 1369.56,1386.36 1371.72,1386.36 1373.88,1386.36 1376.04,1386.36 1378.2,1386.36 1380.36,1386.37 \n",
       "  1382.52,1386.37 1384.68,1386.37 1386.84,1386.37 1389.01,1386.37 1391.17,1386.37 1393.33,1386.38 1395.49,1386.38 1397.65,1386.38 1399.81,1386.38 1401.97,1386.38 \n",
       "  1404.13,1386.38 1406.29,1386.38 1408.45,1386.39 1410.61,1386.39 1412.78,1386.39 1414.94,1386.39 1417.1,1386.39 1419.26,1386.39 1421.42,1386.39 1423.58,1386.4 \n",
       "  1425.74,1386.4 1427.9,1386.4 1430.06,1386.4 1432.22,1386.4 1434.38,1386.4 1436.54,1386.4 1438.71,1386.41 1440.87,1386.41 1443.03,1386.41 1445.19,1386.41 \n",
       "  1447.35,1386.41 1449.51,1386.41 1451.67,1386.41 1453.83,1386.41 1455.99,1386.42 1458.15,1386.42 1460.31,1386.42 1462.48,1386.42 1464.64,1386.42 1466.8,1386.42 \n",
       "  1468.96,1386.42 1471.12,1386.42 1473.28,1386.42 1475.44,1386.42 1477.6,1386.43 1479.76,1386.43 1481.92,1386.43 1484.08,1386.43 1486.24,1386.43 1488.41,1386.43 \n",
       "  1490.57,1386.43 1492.73,1386.43 1494.89,1386.43 1497.05,1386.43 1499.21,1386.44 1501.37,1386.44 1503.53,1386.44 1505.69,1386.44 1507.85,1386.44 1510.01,1386.44 \n",
       "  1512.18,1386.44 1514.34,1386.44 1516.5,1386.44 1518.66,1386.44 1520.82,1386.44 1522.98,1386.45 1525.14,1386.45 1527.3,1386.45 1529.46,1386.45 1531.62,1386.45 \n",
       "  1533.78,1386.45 1535.95,1386.45 1538.11,1386.45 1540.27,1386.45 1542.43,1386.45 1544.59,1386.45 1546.75,1386.45 1548.91,1386.45 1551.07,1386.46 1553.23,1386.46 \n",
       "  1555.39,1386.46 1557.55,1386.46 1559.71,1386.46 1561.88,1386.46 1564.04,1386.46 1566.2,1386.46 1568.36,1386.46 1570.52,1386.46 1572.68,1386.46 1574.84,1386.46 \n",
       "  1577,1386.46 1579.16,1386.46 1581.32,1386.47 1583.48,1386.47 1585.65,1386.47 1587.81,1386.47 1589.97,1386.47 1592.13,1386.47 1594.29,1386.47 1596.45,1386.47 \n",
       "  1598.61,1386.47 1600.77,1386.47 1602.93,1386.47 1605.09,1386.47 1607.25,1386.47 1609.41,1386.47 1611.58,1386.47 1613.74,1386.47 1615.9,1386.47 1618.06,1386.48 \n",
       "  1620.22,1386.48 1622.38,1386.48 1624.54,1386.48 1626.7,1386.48 1628.86,1386.48 1631.02,1386.48 1633.18,1386.48 1635.35,1386.48 1637.51,1386.48 1639.67,1386.48 \n",
       "  1641.83,1386.48 1643.99,1386.48 1646.15,1386.48 1648.31,1386.48 1650.47,1386.48 1652.63,1386.48 1654.79,1386.48 1656.95,1386.48 1659.11,1386.48 1661.28,1386.49 \n",
       "  1663.44,1386.49 1665.6,1386.49 1667.76,1386.49 1669.92,1386.49 1672.08,1386.49 1674.24,1386.49 1676.4,1386.49 1678.56,1386.49 1680.72,1386.49 1682.88,1386.49 \n",
       "  1685.05,1386.49 1687.21,1386.49 1689.37,1386.49 1691.53,1386.49 1693.69,1386.49 1695.85,1386.49 1698.01,1386.49 1700.17,1386.49 1702.33,1386.49 1704.49,1386.49 \n",
       "  1706.65,1386.49 1708.82,1386.49 1710.98,1386.49 1713.14,1386.5 1715.3,1386.5 1717.46,1386.5 1719.62,1386.5 1721.78,1386.5 1723.94,1386.5 1726.1,1386.5 \n",
       "  1728.26,1386.5 1730.42,1386.5 1732.58,1386.5 1734.75,1386.5 1736.91,1386.5 1739.07,1386.5 1741.23,1386.5 1743.39,1386.5 1745.55,1386.5 1747.71,1386.5 \n",
       "  1749.87,1386.5 1752.03,1386.5 1754.19,1386.5 1756.35,1386.5 1758.52,1386.5 1760.68,1386.5 1762.84,1386.5 1765,1386.5 1767.16,1386.5 1769.32,1386.5 \n",
       "  1771.48,1386.5 1773.64,1386.5 1775.8,1386.5 1777.96,1386.5 1780.12,1386.51 1782.28,1386.51 1784.45,1386.51 1786.61,1386.51 1788.77,1386.51 1790.93,1386.51 \n",
       "  1793.09,1386.51 1795.25,1386.51 1797.41,1386.51 1799.57,1386.51 1801.73,1386.51 1803.89,1386.51 1806.05,1386.51 1808.22,1386.51 1810.38,1386.51 1812.54,1386.51 \n",
       "  1814.7,1386.51 1816.86,1386.51 1819.02,1386.51 1821.18,1386.51 1823.34,1386.51 1825.5,1386.51 1827.66,1386.51 1829.82,1386.51 1831.98,1386.51 1834.15,1386.51 \n",
       "  1836.31,1386.51 1838.47,1386.51 1840.63,1386.51 1842.79,1386.51 1844.95,1386.51 1847.11,1386.51 1849.27,1386.51 1851.43,1386.51 1853.59,1386.51 1855.75,1386.51 \n",
       "  1857.92,1386.51 1860.08,1386.51 1862.24,1386.51 1864.4,1386.52 1866.56,1386.52 1868.72,1386.52 1870.88,1386.52 1873.04,1386.52 1875.2,1386.52 1877.36,1386.52 \n",
       "  1879.52,1386.52 1881.69,1386.52 1883.85,1386.52 1886.01,1386.52 1888.17,1386.52 1890.33,1386.52 1892.49,1386.52 1894.65,1386.52 1896.81,1386.52 1898.97,1386.52 \n",
       "  1901.13,1386.52 1903.29,1386.52 1905.45,1386.52 1907.62,1386.52 1909.78,1386.52 1911.94,1386.52 1914.1,1386.52 1916.26,1386.52 1918.42,1386.52 1920.58,1386.52 \n",
       "  1922.74,1386.52 1924.9,1386.52 1927.06,1386.52 1929.22,1386.52 1931.39,1386.52 1933.55,1386.52 1935.71,1386.52 1937.87,1386.52 1940.03,1386.52 1942.19,1386.52 \n",
       "  1944.35,1386.52 1946.51,1386.52 1948.67,1386.52 1950.83,1386.52 1952.99,1386.52 1955.15,1386.52 1957.32,1386.52 1959.48,1386.52 1961.64,1386.52 1963.8,1386.52 \n",
       "  1965.96,1386.52 1968.12,1386.52 1970.28,1386.52 1972.44,1386.52 1974.6,1386.52 1976.76,1386.52 1978.92,1386.52 1981.09,1386.52 1983.25,1386.52 1985.41,1386.52 \n",
       "  1987.57,1386.53 1989.73,1386.53 1991.89,1386.53 1994.05,1386.53 1996.21,1386.53 1998.37,1386.53 2000.53,1386.53 2002.69,1386.53 2004.85,1386.53 2007.02,1386.53 \n",
       "  2009.18,1386.53 2011.34,1386.53 2013.5,1386.53 2015.66,1386.53 2017.82,1386.53 2019.98,1386.53 2022.14,1386.53 2024.3,1386.53 2026.46,1386.53 2028.62,1386.53 \n",
       "  2030.79,1386.53 2032.95,1386.53 2035.11,1386.53 2037.27,1386.53 2039.43,1386.53 2041.59,1386.53 2043.75,1386.53 2045.91,1386.53 2048.07,1386.53 2050.23,1386.53 \n",
       "  2052.39,1386.53 2054.56,1386.53 2056.72,1386.53 2058.88,1386.53 2061.04,1386.53 2063.2,1386.53 2065.36,1386.53 2067.52,1386.53 2069.68,1386.53 2071.84,1386.53 \n",
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       "  1836.31,1322.28 1838.47,1322.6 1840.63,1322.92 1842.79,1323.24 1844.95,1323.55 1847.11,1323.87 1849.27,1324.18 1851.43,1324.49 1853.59,1324.8 1855.75,1325.11 \n",
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       "  1901.13,1331.24 1903.29,1331.52 1905.45,1331.79 1907.62,1332.07 1909.78,1332.34 1911.94,1332.61 1914.1,1332.88 1916.26,1333.15 1918.42,1333.41 1920.58,1333.68 \n",
       "  1922.74,1333.94 1924.9,1334.2 1927.06,1334.47 1929.22,1334.73 1931.39,1334.99 1933.55,1335.24 1935.71,1335.5 1937.87,1335.75 1940.03,1336.01 1942.19,1336.26 \n",
       "  1944.35,1336.51 1946.51,1336.76 1948.67,1337.01 1950.83,1337.26 1952.99,1337.5 1955.15,1337.75 1957.32,1337.99 1959.48,1338.23 1961.64,1338.48 1963.8,1338.72 \n",
       "  1965.96,1338.96 1968.12,1339.19 1970.28,1339.43 1972.44,1339.66 1974.6,1339.9 1976.76,1340.13 1978.92,1340.36 1981.09,1340.59 1983.25,1340.82 1985.41,1341.05 \n",
       "  1987.57,1341.28 1989.73,1341.51 1991.89,1341.73 1994.05,1341.95 1996.21,1342.18 1998.37,1342.4 2000.53,1342.62 2002.69,1342.84 2004.85,1343.06 2007.02,1343.27 \n",
       "  2009.18,1343.49 2011.34,1343.71 2013.5,1343.92 2015.66,1344.13 2017.82,1344.35 2019.98,1344.56 2022.14,1344.77 2024.3,1344.97 2026.46,1345.18 2028.62,1345.39 \n",
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       "  2095.61,1351.31 2097.77,1351.49 2099.93,1351.66 2102.09,1351.84 2104.26,1352.01 2106.42,1352.18 2108.58,1352.35 2110.74,1352.53 2112.9,1352.7 2115.06,1352.86 \n",
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       "  2203.66,1359.12 2205.82,1359.26 2207.98,1359.39 2210.14,1359.53 2212.3,1359.67 2214.46,1359.8 2216.62,1359.93 2218.78,1360.07 2220.94,1360.2 2223.1,1360.33 \n",
       "  2225.26,1360.46 2227.43,1360.59 2229.59,1360.72 2231.75,1360.85 2233.91,1360.98 2236.07,1361.11 2238.23,1361.23 2240.39,1361.36 2242.55,1361.49 2244.71,1361.61 \n",
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       "  1879.52,143.252 1881.69,142.962 1883.85,142.672 1886.01,142.385 1888.17,142.099 1890.33,141.814 1892.49,141.53 1894.65,141.248 1896.81,140.968 1898.97,140.688 \n",
       "  1901.13,140.411 1903.29,140.134 1905.45,139.859 1907.62,139.586 1909.78,139.313 1911.94,139.042 1914.1,138.773 1916.26,138.505 1918.42,138.238 1920.58,137.972 \n",
       "  1922.74,137.708 1924.9,137.445 1927.06,137.183 1929.22,136.923 1931.39,136.664 1933.55,136.406 1935.71,136.15 1937.87,135.895 1940.03,135.641 1942.19,135.388 \n",
       "  1944.35,135.137 1946.51,134.887 1948.67,134.638 1950.83,134.39 1952.99,134.144 1955.15,133.899 1957.32,133.655 1959.48,133.412 1961.64,133.171 1963.8,132.931 \n",
       "  1965.96,132.692 1968.12,132.454 1970.28,132.217 1972.44,131.981 1974.6,131.747 1976.76,131.514 1978.92,131.282 1981.09,131.051 1983.25,130.821 1985.41,130.593 \n",
       "  1987.57,130.365 1989.73,130.139 1991.89,129.914 1994.05,129.69 1996.21,129.467 1998.37,129.245 2000.53,129.025 2002.69,128.805 2004.85,128.586 2007.02,128.369 \n",
       "  2009.18,128.153 2011.34,127.937 2013.5,127.723 2015.66,127.51 2017.82,127.298 2019.98,127.087 2022.14,126.877 2024.3,126.668 2026.46,126.46 2028.62,126.253 \n",
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891.168,1446.71 893.207,1446.71 895.246,1446.71 897.284,1446.71 899.323,1446.71 901.361,1446.71 903.4,1446.71 905.438,1446.71 \n  907.477,1446.71 909.515,1446.71 911.554,1446.71 913.593,1446.71 915.631,1446.71 917.67,1446.71 919.708,1446.71 921.747,1446.71 923.785,1446.71 925.824,1446.71 \n  927.863,1446.71 929.901,1446.71 931.94,1446.71 933.978,1446.71 936.017,1446.71 938.055,1446.71 940.094,1446.71 942.132,1446.71 944.171,1446.71 946.21,1446.71 \n  948.248,1446.71 950.287,1446.71 952.325,1446.71 954.364,1446.71 956.402,1446.71 958.441,1446.71 960.479,1446.71 962.518,1446.71 964.557,1446.71 966.595,1446.71 \n  968.634,1446.71 970.672,1446.71 972.711,1446.71 974.749,1446.71 976.788,1446.71 978.827,1446.71 980.865,1446.71 982.904,1446.71 984.942,1446.71 986.981,1446.71 \n  989.019,1446.71 991.058,1446.71 993.096,1446.71 995.135,1446.71 997.174,1446.71 999.212,1446.71 1001.25,1446.71 1003.29,1446.71 1005.33,1446.71 1007.37,1446.71 \n  1009.4,1446.71 1011.44,1446.71 1013.48,1446.71 1015.52,1446.71 1017.56,1446.71 1019.6,1446.71 1021.64,1446.71 1023.67,1446.71 1025.71,1446.71 1027.75,1446.71 \n  1029.79,1446.71 1031.83,1446.71 1033.87,1446.71 1035.91,1446.71 1037.94,1446.71 1039.98,1446.71 1042.02,1446.71 1044.06,1446.71 1046.1,1446.71 1048.14,1446.71 \n  1050.18,1446.71 1052.21,1446.71 1054.25,1446.71 1056.29,1446.71 1058.33,1446.71 1060.37,1446.71 1062.41,1446.71 1064.45,1446.71 1066.48,1446.71 1068.52,1446.71 \n  1070.56,1446.71 1072.6,1446.71 1074.64,1446.71 1076.68,1446.71 1078.72,1446.71 1080.75,1446.71 1082.79,1446.71 1084.83,1446.71 1086.87,1446.71 1088.91,1446.71 \n  1090.95,1446.71 1092.99,1446.71 1095.02,1446.71 1097.06,1446.71 1099.1,1446.71 1101.14,1446.71 1103.18,1446.71 1105.22,1446.71 1107.26,1446.71 1109.29,1446.71 \n  1111.33,1446.71 1113.37,1446.71 1115.41,1446.71 1117.45,1446.71 1119.49,1446.71 1121.53,1446.71 1123.56,1446.71 1125.6,1446.71 1127.64,1446.71 1129.68,1446.71 \n  1131.72,1446.71 1133.76,1446.71 1135.8,1446.71 1137.83,1446.71 1139.87,1446.71 1141.91,1446.71 1143.95,1446.71 1145.99,1446.71 1148.03,1446.71 1150.07,1446.71 \n  1152.1,1446.71 1154.14,1446.71 1156.18,1446.71 1158.22,1446.71 1160.26,1446.71 1162.3,1446.71 1164.34,1446.71 1166.37,1446.71 1168.41,1446.71 1170.45,1446.71 \n  1172.49,1446.71 1174.53,1446.71 1176.57,1446.71 1178.61,1446.71 1180.64,1446.71 1182.68,1446.71 1184.72,1446.71 1186.76,1446.71 1188.8,1446.71 1190.84,1446.71 \n  1192.88,1446.71 1194.91,1446.71 1196.95,1446.71 1198.99,1446.71 1201.03,1446.71 1203.07,1446.71 1205.11,1446.71 1207.15,1446.71 1209.18,1446.71 1211.22,1446.71 \n  1213.26,1446.71 1215.3,1446.71 1217.34,1446.71 1219.38,1446.71 1221.42,1446.71 1223.45,1446.71 1225.49,1446.71 1227.53,1446.71 1229.57,1446.71 1231.61,1446.71 \n  1233.65,1446.71 1235.69,1446.71 1237.72,1446.71 1239.76,1446.71 1241.8,1446.71 1243.84,1446.71 1245.88,1446.71 1247.92,1446.71 1249.96,1446.71 1251.99,1446.71 \n  1254.03,1446.71 1256.07,1446.71 1258.11,1446.71 1260.15,1446.71 1262.19,1446.71 1264.23,1446.71 1266.26,1446.71 1268.3,1446.71 1270.34,1446.71 1272.38,1446.71 \n  1274.42,1446.71 1276.46,1446.71 1278.5,1446.71 1280.53,1446.71 1282.57,1446.71 1284.61,1446.71 1286.65,1446.71 1288.69,1446.71 1290.73,1446.71 1292.77,1446.71 \n  1294.8,1446.71 1296.84,1446.71 1298.88,1446.71 1300.92,1446.71 1302.96,1446.71 1305,1446.71 1307.03,1446.71 1309.07,1446.71 1311.11,1446.71 1313.15,1446.71 \n  1315.19,1446.71 1317.23,1446.71 1319.27,1446.71 1321.3,1446.71 1323.34,1446.71 1325.38,1446.71 1327.42,1446.71 1329.46,1446.71 1331.5,1446.71 1333.54,1446.71 \n  1335.57,1446.71 1337.61,1446.71 1339.65,1446.71 1341.69,1446.71 1343.73,1446.71 1345.77,1446.71 1347.81,1446.71 1349.84,1446.71 1351.88,1446.71 1353.92,1446.71 \n  1355.96,1446.71 1358,1446.71 1360.04,1446.71 1362.08,1446.71 1364.11,1446.71 1366.15,1446.71 1368.19,1446.71 1370.23,1446.71 1372.27,1446.71 1374.31,1446.71 \n  1376.35,1446.71 1378.38,1446.71 1380.42,1446.71 1382.46,1446.71 1384.5,1446.71 1386.54,1446.71 1388.58,1446.71 1390.62,1446.71 1392.65,1446.71 1394.69,1446.71 \n  1396.73,1446.71 1398.77,1446.71 1400.81,1446.71 1402.85,1446.71 1404.89,1446.71 1406.92,1446.71 1408.96,1446.71 1411,1446.71 1413.04,1446.71 1415.08,1446.71 \n  1417.12,1446.71 1419.16,1446.71 1421.19,1446.71 1423.23,1446.71 1425.27,1446.71 1427.31,1446.71 1429.35,1446.71 1431.39,1446.71 1433.43,1446.71 1435.46,1446.71 \n  1437.5,1446.71 1439.54,1446.71 1441.58,1446.71 1443.62,1446.71 1445.66,1446.71 1447.7,1446.71 1449.73,1446.71 1451.77,1446.71 1453.81,1446.71 1455.85,1446.71 \n  1457.89,1446.71 1459.93,1446.71 1461.97,1446.71 1464,1446.71 1466.04,1446.71 1468.08,1446.71 1470.12,1446.71 1472.16,1446.71 1474.2,1446.71 1476.24,1446.71 \n  1478.27,1446.71 1480.31,1446.71 1482.35,1446.71 1484.39,1446.71 1486.43,1446.71 1488.47,1446.71 1490.51,1446.71 1492.54,1446.71 1494.58,1446.71 1496.62,1446.71 \n  1498.66,1446.71 1500.7,1446.71 1502.74,1446.71 1504.78,1446.71 1506.81,1446.71 1508.85,1446.71 1510.89,1446.71 1512.93,1446.71 1514.97,1446.71 1517.01,1446.71 \n  1519.05,1446.71 1521.08,1446.71 1523.12,1446.71 1525.16,1446.71 1527.2,1446.71 1529.24,1446.71 1531.28,1446.71 1533.32,1446.71 1535.35,1446.71 1537.39,1446.71 \n  1539.43,1446.71 1541.47,1446.71 1543.51,1446.71 1545.55,1446.71 1547.59,1446.71 1549.62,1446.71 1551.66,1446.71 1553.7,1446.71 1555.74,1446.71 1557.78,1446.71 \n  1559.82,1446.71 1561.86,1446.71 1563.89,1446.71 1565.93,1446.71 1567.97,1446.71 1570.01,1446.71 1572.05,1446.71 1574.09,1446.71 1576.13,1446.71 1578.16,1446.71 \n  1580.2,1446.71 1582.24,1446.71 1584.28,1446.71 1586.32,1446.71 1588.36,1446.71 1590.4,1446.71 1592.43,1446.71 1594.47,1446.71 1596.51,1446.71 1598.55,1446.71 \n  1600.59,1446.71 1602.63,1446.71 1604.66,1446.71 1606.7,1446.71 1608.74,1446.71 1610.78,1446.71 1612.82,1446.71 1614.86,1446.71 1616.9,1446.71 1618.93,1446.71 \n  1620.97,1446.71 1623.01,1446.71 1625.05,1446.71 1627.09,1446.71 1629.13,1446.71 1631.17,1446.71 1633.2,1446.71 1635.24,1446.71 1637.28,1446.71 1639.32,1446.71 \n  1641.36,1446.71 1643.4,1446.71 1645.44,1446.71 1647.47,1446.71 1649.51,1446.71 1651.55,1446.71 1653.59,1446.71 1655.63,1446.71 1657.67,1446.71 1659.71,1446.71 \n  1661.74,1446.71 1663.78,1446.71 1665.82,1446.71 1667.86,1446.71 1669.9,1446.71 1671.94,1446.71 1673.98,1446.71 1676.01,1446.71 1678.05,1446.71 1680.09,1446.71 \n  1682.13,1446.71 1684.17,1446.71 1686.21,1446.71 1688.25,1446.71 1690.28,1446.71 1692.32,1446.71 1694.36,1446.71 1696.4,1446.71 1698.44,1446.71 1700.48,1446.71 \n  1702.52,1446.71 1704.55,1446.71 1706.59,1446.71 1708.63,1446.71 1710.67,1446.71 1712.71,1446.71 1714.75,1446.71 1716.79,1446.71 1718.82,1446.71 1720.86,1446.71 \n  1722.9,1446.71 1724.94,1446.71 1726.98,1446.71 1729.02,1446.71 1731.06,1446.71 1733.09,1446.71 1735.13,1446.71 1737.17,1446.71 1739.21,1446.71 1741.25,1446.71 \n  1743.29,1446.71 1745.33,1446.71 1747.36,1446.71 1749.4,1446.71 1751.44,1446.71 1753.48,1446.71 1755.52,1446.71 1757.56,1446.71 1759.6,1446.71 1761.63,1446.71 \n  1763.67,1446.71 1765.71,1446.71 1767.75,1446.71 1769.79,1446.71 1771.83,1446.71 1773.87,1446.71 1775.9,1446.71 1777.94,1446.71 1779.98,1446.71 1782.02,1446.71 \n  1784.06,1446.71 1786.1,1446.71 1788.14,1446.71 1790.17,1446.71 1792.21,1446.71 1794.25,1446.71 1796.29,1446.71 1798.33,1446.71 1800.37,1446.71 1802.41,1446.71 \n  1804.44,1446.71 1806.48,1446.71 1808.52,1446.71 1810.56,1446.71 1812.6,1446.71 1814.64,1446.71 1816.68,1446.71 1818.71,1446.71 1820.75,1446.71 1822.79,1446.71 \n  1824.83,1446.71 1826.87,1446.71 1828.91,1446.71 1830.95,1446.71 1832.98,1446.71 1835.02,1446.71 1837.06,1446.71 1839.1,1446.71 1841.14,1446.71 1843.18,1446.71 \n  1845.22,1446.71 1847.25,1446.71 1849.29,1446.71 1851.33,1446.71 1853.37,1446.71 1855.41,1446.71 1857.45,1446.71 1859.49,1446.71 1861.52,1446.71 1863.56,1446.71 \n  1865.6,1446.71 1867.64,1446.71 1869.68,1446.71 1871.72,1446.71 1873.76,1446.71 1875.79,1446.71 1877.83,1446.71 1879.87,1446.71 1881.91,1446.71 1883.95,1446.71 \n  1885.99,1446.71 1888.03,1446.71 1890.06,1446.71 1892.1,1446.71 1894.14,1446.71 1896.18,1446.71 1898.22,1446.71 1900.26,1446.71 1902.29,1446.71 1904.33,1446.71 \n  1906.37,1446.71 1908.41,1446.71 1910.45,1446.71 1912.49,1446.71 1914.53,1446.71 1916.56,1446.71 1918.6,1446.71 1920.64,1446.71 1922.68,1446.71 1924.72,1446.71 \n  1926.76,1446.71 1928.8,1446.71 1930.83,1446.71 1932.87,1446.71 1934.91,1446.71 1936.95,1446.71 1938.99,1446.71 1941.03,1446.71 1943.07,1446.71 1945.1,1446.71 \n  1947.14,1446.71 1949.18,1446.71 1951.22,1446.71 1953.26,1446.71 1955.3,1446.71 1957.34,1446.71 1959.37,1446.71 1961.41,1446.71 1963.45,1446.71 1965.49,1446.71 \n  1967.53,1446.71 1969.57,1446.71 1971.61,1446.71 1973.64,1446.71 1975.68,1446.71 1977.72,1446.71 1979.76,1446.71 1981.8,1446.71 1983.84,1446.71 1985.88,1446.71 \n  1987.91,1446.71 1989.95,1446.71 1991.99,1446.71 1994.03,1446.71 1996.07,1446.71 1998.11,1446.71 2000.15,1446.71 2002.18,1446.71 2004.22,1446.71 2006.26,1446.71 \n  2008.3,1446.71 2010.34,1446.71 2012.38,1446.71 2014.42,1446.71 2016.45,1446.71 2018.49,1446.71 2020.53,1446.71 2022.57,1446.71 2024.61,1446.71 2026.65,1446.71 \n  2028.69,1446.71 2030.72,1446.71 2032.76,1446.71 2034.8,1446.71 2036.84,1446.71 2038.88,1446.71 2040.92,1446.71 2042.96,1446.71 2044.99,1446.71 2047.03,1446.71 \n  2049.07,1446.71 2051.11,1446.71 2053.15,1446.71 2055.19,1446.71 2057.23,1446.71 2059.26,1446.71 2061.3,1446.71 2063.34,1446.71 2065.38,1446.71 2067.42,1446.71 \n  2069.46,1446.71 2071.5,1446.71 2073.53,1446.71 2075.57,1446.71 2077.61,1446.71 2079.65,1446.71 2081.69,1446.71 2083.73,1446.71 2085.77,1446.71 2087.8,1446.71 \n  2089.84,1446.71 2091.88,1446.71 2093.92,1446.71 2095.96,1446.71 2098,1446.71 2100.04,1446.71 2102.07,1446.71 2104.11,1446.71 2106.15,1446.71 2108.19,1446.71 \n  2110.23,1446.71 2112.27,1446.71 2114.31,1446.71 2116.34,1446.71 2118.38,1446.71 2120.42,1446.71 2122.46,1446.71 2124.5,1446.71 2126.54,1446.71 2128.58,1446.71 \n  2130.61,1446.71 2132.65,1446.71 2134.69,1446.71 2136.73,1446.71 2138.77,1446.71 2140.81,1446.71 2142.85,1446.71 2144.88,1446.71 2146.92,1446.71 2148.96,1446.71 \n  2151,1446.71 2153.04,1446.71 2155.08,1446.71 2157.12,1446.71 2159.15,1446.71 2161.19,1446.71 2163.23,1446.71 2165.27,1446.71 2167.31,1446.71 2169.35,1446.71 \n  2171.39,1446.71 2173.42,1446.71 2175.46,1446.71 2177.5,1446.71 2179.54,1446.71 2181.58,1446.71 2183.62,1446.71 2185.66,1446.71 2187.69,1446.71 2189.73,1446.71 \n  2191.77,1446.71 2193.81,1446.71 2195.85,1446.71 2197.89,1446.71 2199.92,1446.71 2201.96,1446.71 2204,1446.71 2206.04,1446.71 2208.08,1446.71 2210.12,1446.71 \n  2212.16,1446.71 2214.19,1446.71 2216.23,1446.71 2218.27,1446.71 2220.31,1446.71 2222.35,1446.71 2224.39,1446.71 2226.43,1446.71 2228.46,1446.71 2230.5,1446.71 \n  2232.54,1446.71 2234.58,1446.71 2236.62,1446.71 2238.66,1446.71 2240.7,1446.71 2242.73,1446.71 2244.77,1446.71 2246.81,1446.71 2248.85,1446.71 2250.89,1446.71 \n  2252.93,1446.71 2254.97,1446.71 2257,1446.71 2259.04,1446.71 2261.08,1446.71 2263.12,1446.71 2265.16,1446.71 2267.2,1446.71 2269.24,1446.71 2271.27,1446.71 \n  2273.31,1446.71 2275.35,1446.71 2277.39,1446.71 2279.43,1446.71 2281.47,1446.71 2283.51,1446.71 2285.54,1446.71 2287.58,1446.71 2289.62,1446.71 2291.66,1446.71 \n  \n  \"/>\n<polyline clip-path=\"url(#clip9902)\" style=\"stroke:#e26f46; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n  255.137,1445.35 257.176,1270.24 259.214,149.606 261.253,98.0469 263.291,104.363 265.33,111.062 267.369,117.73 269.407,124.365 271.446,130.967 273.484,137.536 \n  275.523,144.072 277.561,150.575 279.6,157.046 281.638,163.485 283.677,169.891 285.716,176.266 287.754,182.609 289.793,188.92 291.831,195.199 293.87,201.447 \n  295.908,207.664 297.947,213.85 299.986,220.005 302.024,226.13 304.063,232.224 306.101,238.287 308.14,244.32 310.178,250.323 312.217,256.296 314.255,262.239 \n  316.294,268.153 318.333,274.037 320.371,279.891 322.41,285.716 324.448,291.513 326.487,297.28 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1329.46,1348.75 1331.5,1349.24 1333.54,1349.73 \n  1335.57,1350.21 1337.61,1350.69 1339.65,1351.17 1341.69,1351.65 1343.73,1352.13 1345.77,1352.6 1347.81,1353.07 1349.84,1353.54 1351.88,1354 1353.92,1354.46 \n  1355.96,1354.92 1358,1355.38 1360.04,1355.84 1362.08,1356.29 1364.11,1356.74 1366.15,1357.19 1368.19,1357.64 1370.23,1358.08 1372.27,1358.53 1374.31,1358.97 \n  1376.35,1359.41 1378.38,1359.84 1380.42,1360.27 1382.46,1360.71 1384.5,1361.14 1386.54,1361.56 1388.58,1361.99 1390.62,1362.41 1392.65,1362.83 1394.69,1363.25 \n  1396.73,1363.67 1398.77,1364.08 1400.81,1364.49 1402.85,1364.9 1404.89,1365.31 1406.92,1365.72 1408.96,1366.12 1411,1366.53 1413.04,1366.93 1415.08,1367.33 \n  1417.12,1367.72 1419.16,1368.12 1421.19,1368.51 1423.23,1368.9 1425.27,1369.29 1427.31,1369.67 1429.35,1370.06 1431.39,1370.44 1433.43,1370.82 1435.46,1371.2 \n  1437.5,1371.58 1439.54,1371.95 1441.58,1372.33 1443.62,1372.7 1445.66,1373.07 1447.7,1373.43 1449.73,1373.8 1451.77,1374.16 1453.81,1374.53 1455.85,1374.89 \n  1457.89,1375.25 1459.93,1375.6 1461.97,1375.96 1464,1376.31 1466.04,1376.66 1468.08,1377.01 1470.12,1377.36 1472.16,1377.71 1474.2,1378.05 1476.24,1378.39 \n  1478.27,1378.73 1480.31,1379.07 1482.35,1379.41 1484.39,1379.75 1486.43,1380.08 1488.47,1380.41 1490.51,1380.75 1492.54,1381.08 1494.58,1381.4 1496.62,1381.73 \n  1498.66,1382.05 1500.7,1382.38 1502.74,1382.7 1504.78,1383.02 1506.81,1383.33 1508.85,1383.65 1510.89,1383.97 1512.93,1384.28 1514.97,1384.59 1517.01,1384.9 \n  1519.05,1385.21 1521.08,1385.52 1523.12,1385.82 1525.16,1386.13 1527.2,1386.43 1529.24,1386.73 1531.28,1387.03 1533.32,1387.33 1535.35,1387.62 1537.39,1387.92 \n  1539.43,1388.21 1541.47,1388.5 1543.51,1388.8 1545.55,1389.08 1547.59,1389.37 1549.62,1389.66 1551.66,1389.94 1553.7,1390.23 1555.74,1390.51 1557.78,1390.79 \n  1559.82,1391.07 1561.86,1391.35 1563.89,1391.62 1565.93,1391.9 1567.97,1392.17 1570.01,1392.44 1572.05,1392.71 1574.09,1392.98 1576.13,1393.25 1578.16,1393.52 \n  1580.2,1393.78 1582.24,1394.05 1584.28,1394.31 1586.32,1394.57 1588.36,1394.83 1590.4,1395.09 1592.43,1395.35 1594.47,1395.61 1596.51,1395.86 1598.55,1396.12 \n  1600.59,1396.37 1602.63,1396.62 1604.66,1396.87 1606.7,1397.12 1608.74,1397.37 1610.78,1397.61 1612.82,1397.86 1614.86,1398.1 1616.9,1398.34 1618.93,1398.59 \n  1620.97,1398.83 1623.01,1399.07 1625.05,1399.3 1627.09,1399.54 1629.13,1399.78 1631.17,1400.01 1633.2,1400.24 1635.24,1400.48 1637.28,1400.71 1639.32,1400.94 \n  1641.36,1401.16 1643.4,1401.39 1645.44,1401.62 1647.47,1401.84 1649.51,1402.07 1651.55,1402.29 1653.59,1402.51 1655.63,1402.73 1657.67,1402.95 1659.71,1403.17 \n  1661.74,1403.39 1663.78,1403.6 1665.82,1403.82 1667.86,1404.03 1669.9,1404.25 1671.94,1404.46 1673.98,1404.67 1676.01,1404.88 1678.05,1405.09 1680.09,1405.3 \n  1682.13,1405.5 1684.17,1405.71 1686.21,1405.91 1688.25,1406.12 1690.28,1406.32 1692.32,1406.52 1694.36,1406.72 1696.4,1406.92 1698.44,1407.12 1700.48,1407.32 \n  1702.52,1407.51 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1007.37,1446.71 \\n  1009.4,1446.71 1011.44,1446.71 1013.48,1446.71 1015.52,1446.71 1017.56,1446.71 1019.6,1446.71 1021.64,1446.71 1023.67,1446.71 1025.71,1446.71 1027.75,1446.71 \\n  1029.79,1446.71 1031.83,1446.71 1033.87,1446.71 1035.91,1446.71 1037.94,1446.71 1039.98,1446.71 1042.02,1446.71 1044.06,1446.71 1046.1,1446.71 1048.14,1446.71 \\n  1050.18,1446.71 1052.21,1446.71 1054.25,1446.71 1056.29,1446.71 1058.33,1446.71 1060.37,1446.71 1062.41,1446.71 1064.45,1446.71 1066.48,1446.71 1068.52,1446.71 \\n  1070.56,1446.71 1072.6,1446.71 1074.64,1446.71 1076.68,1446.71 1078.72,1446.71 1080.75,1446.71 1082.79,1446.71 1084.83,1446.71 1086.87,1446.71 1088.91,1446.71 \\n  1090.95,1446.71 1092.99,1446.71 1095.02,1446.71 1097.06,1446.71 1099.1,1446.71 1101.14,1446.71 1103.18,1446.71 1105.22,1446.71 1107.26,1446.71 1109.29,1446.71 \\n  1111.33,1446.71 1113.37,1446.71 1115.41,1446.71 1117.45,1446.71 1119.49,1446.71 1121.53,1446.71 1123.56,1446.71 1125.6,1446.71 1127.64,1446.71 1129.68,1446.71 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1254.03,1446.71 1256.07,1446.71 1258.11,1446.71 1260.15,1446.71 1262.19,1446.71 1264.23,1446.71 1266.26,1446.71 1268.3,1446.71 1270.34,1446.71 1272.38,1446.71 \\n  1274.42,1446.71 1276.46,1446.71 1278.5,1446.71 1280.53,1446.71 1282.57,1446.71 1284.61,1446.71 1286.65,1446.71 1288.69,1446.71 1290.73,1446.71 1292.77,1446.71 \\n  1294.8,1446.71 1296.84,1446.71 1298.88,1446.71 1300.92,1446.71 1302.96,1446.71 1305,1446.71 1307.03,1446.71 1309.07,1446.71 1311.11,1446.71 1313.15,1446.71 \\n  1315.19,1446.71 1317.23,1446.71 1319.27,1446.71 1321.3,1446.71 1323.34,1446.71 1325.38,1446.71 1327.42,1446.71 1329.46,1446.71 1331.5,1446.71 1333.54,1446.71 \\n  1335.57,1446.71 1337.61,1446.71 1339.65,1446.71 1341.69,1446.71 1343.73,1446.71 1345.77,1446.71 1347.81,1446.71 1349.84,1446.71 1351.88,1446.71 1353.92,1446.71 \\n  1355.96,1446.71 1358,1446.71 1360.04,1446.71 1362.08,1446.71 1364.11,1446.71 1366.15,1446.71 1368.19,1446.71 1370.23,1446.71 1372.27,1446.71 1374.31,1446.71 \\n  1376.35,1446.71 1378.38,1446.71 1380.42,1446.71 1382.46,1446.71 1384.5,1446.71 1386.54,1446.71 1388.58,1446.71 1390.62,1446.71 1392.65,1446.71 1394.69,1446.71 \\n  1396.73,1446.71 1398.77,1446.71 1400.81,1446.71 1402.85,1446.71 1404.89,1446.71 1406.92,1446.71 1408.96,1446.71 1411,1446.71 1413.04,1446.71 1415.08,1446.71 \\n  1417.12,1446.71 1419.16,1446.71 1421.19,1446.71 1423.23,1446.71 1425.27,1446.71 1427.31,1446.71 1429.35,1446.71 1431.39,1446.71 1433.43,1446.71 1435.46,1446.71 \\n  1437.5,1446.71 1439.54,1446.71 1441.58,1446.71 1443.62,1446.71 1445.66,1446.71 1447.7,1446.71 1449.73,1446.71 1451.77,1446.71 1453.81,1446.71 1455.85,1446.71 \\n  1457.89,1446.71 1459.93,1446.71 1461.97,1446.71 1464,1446.71 1466.04,1446.71 1468.08,1446.71 1470.12,1446.71 1472.16,1446.71 1474.2,1446.71 1476.24,1446.71 \\n  1478.27,1446.71 1480.31,1446.71 1482.35,1446.71 1484.39,1446.71 1486.43,1446.71 1488.47,1446.71 1490.51,1446.71 1492.54,1446.71 1494.58,1446.71 1496.62,1446.71 \\n  1498.66,1446.71 1500.7,1446.71 1502.74,1446.71 1504.78,1446.71 1506.81,1446.71 1508.85,1446.71 1510.89,1446.71 1512.93,1446.71 1514.97,1446.71 1517.01,1446.71 \\n  1519.05,1446.71 1521.08,1446.71 1523.12,1446.71 1525.16,1446.71 1527.2,1446.71 1529.24,1446.71 1531.28,1446.71 1533.32,1446.71 1535.35,1446.71 1537.39,1446.71 \\n  1539.43,1446.71 1541.47,1446.71 1543.51,1446.71 1545.55,1446.71 1547.59,1446.71 1549.62,1446.71 1551.66,1446.71 1553.7,1446.71 1555.74,1446.71 1557.78,1446.71 \\n  1559.82,1446.71 1561.86,1446.71 1563.89,1446.71 1565.93,1446.71 1567.97,1446.71 1570.01,1446.71 1572.05,1446.71 1574.09,1446.71 1576.13,1446.71 1578.16,1446.71 \\n  1580.2,1446.71 1582.24,1446.71 1584.28,1446.71 1586.32,1446.71 1588.36,1446.71 1590.4,1446.71 1592.43,1446.71 1594.47,1446.71 1596.51,1446.71 1598.55,1446.71 \\n  1600.59,1446.71 1602.63,1446.71 1604.66,1446.71 1606.7,1446.71 1608.74,1446.71 1610.78,1446.71 1612.82,1446.71 1614.86,1446.71 1616.9,1446.71 1618.93,1446.71 \\n  1620.97,1446.71 1623.01,1446.71 1625.05,1446.71 1627.09,1446.71 1629.13,1446.71 1631.17,1446.71 1633.2,1446.71 1635.24,1446.71 1637.28,1446.71 1639.32,1446.71 \\n  1641.36,1446.71 1643.4,1446.71 1645.44,1446.71 1647.47,1446.71 1649.51,1446.71 1651.55,1446.71 1653.59,1446.71 1655.63,1446.71 1657.67,1446.71 1659.71,1446.71 \\n  1661.74,1446.71 1663.78,1446.71 1665.82,1446.71 1667.86,1446.71 1669.9,1446.71 1671.94,1446.71 1673.98,1446.71 1676.01,1446.71 1678.05,1446.71 1680.09,1446.71 \\n  1682.13,1446.71 1684.17,1446.71 1686.21,1446.71 1688.25,1446.71 1690.28,1446.71 1692.32,1446.71 1694.36,1446.71 1696.4,1446.71 1698.44,1446.71 1700.48,1446.71 \\n  1702.52,1446.71 1704.55,1446.71 1706.59,1446.71 1708.63,1446.71 1710.67,1446.71 1712.71,1446.71 1714.75,1446.71 1716.79,1446.71 1718.82,1446.71 1720.86,1446.71 \\n  1722.9,1446.71 1724.94,1446.71 1726.98,1446.71 1729.02,1446.71 1731.06,1446.71 1733.09,1446.71 1735.13,1446.71 1737.17,1446.71 1739.21,1446.71 1741.25,1446.71 \\n  1743.29,1446.71 1745.33,1446.71 1747.36,1446.71 1749.4,1446.71 1751.44,1446.71 1753.48,1446.71 1755.52,1446.71 1757.56,1446.71 1759.6,1446.71 1761.63,1446.71 \\n  1763.67,1446.71 1765.71,1446.71 1767.75,1446.71 1769.79,1446.71 1771.83,1446.71 1773.87,1446.71 1775.9,1446.71 1777.94,1446.71 1779.98,1446.71 1782.02,1446.71 \\n  1784.06,1446.71 1786.1,1446.71 1788.14,1446.71 1790.17,1446.71 1792.21,1446.71 1794.25,1446.71 1796.29,1446.71 1798.33,1446.71 1800.37,1446.71 1802.41,1446.71 \\n  1804.44,1446.71 1806.48,1446.71 1808.52,1446.71 1810.56,1446.71 1812.6,1446.71 1814.64,1446.71 1816.68,1446.71 1818.71,1446.71 1820.75,1446.71 1822.79,1446.71 \\n  1824.83,1446.71 1826.87,1446.71 1828.91,1446.71 1830.95,1446.71 1832.98,1446.71 1835.02,1446.71 1837.06,1446.71 1839.1,1446.71 1841.14,1446.71 1843.18,1446.71 \\n  1845.22,1446.71 1847.25,1446.71 1849.29,1446.71 1851.33,1446.71 1853.37,1446.71 1855.41,1446.71 1857.45,1446.71 1859.49,1446.71 1861.52,1446.71 1863.56,1446.71 \\n  1865.6,1446.71 1867.64,1446.71 1869.68,1446.71 1871.72,1446.71 1873.76,1446.71 1875.79,1446.71 1877.83,1446.71 1879.87,1446.71 1881.91,1446.71 1883.95,1446.71 \\n  1885.99,1446.71 1888.03,1446.71 1890.06,1446.71 1892.1,1446.71 1894.14,1446.71 1896.18,1446.71 1898.22,1446.71 1900.26,1446.71 1902.29,1446.71 1904.33,1446.71 \\n  1906.37,1446.71 1908.41,1446.71 1910.45,1446.71 1912.49,1446.71 1914.53,1446.71 1916.56,1446.71 1918.6,1446.71 1920.64,1446.71 1922.68,1446.71 1924.72,1446.71 \\n  1926.76,1446.71 1928.8,1446.71 1930.83,1446.71 1932.87,1446.71 1934.91,1446.71 1936.95,1446.71 1938.99,1446.71 1941.03,1446.71 1943.07,1446.71 1945.1,1446.71 \\n  1947.14,1446.71 1949.18,1446.71 1951.22,1446.71 1953.26,1446.71 1955.3,1446.71 1957.34,1446.71 1959.37,1446.71 1961.41,1446.71 1963.45,1446.71 1965.49,1446.71 \\n  1967.53,1446.71 1969.57,1446.71 1971.61,1446.71 1973.64,1446.71 1975.68,1446.71 1977.72,1446.71 1979.76,1446.71 1981.8,1446.71 1983.84,1446.71 1985.88,1446.71 \\n  1987.91,1446.71 1989.95,1446.71 1991.99,1446.71 1994.03,1446.71 1996.07,1446.71 1998.11,1446.71 2000.15,1446.71 2002.18,1446.71 2004.22,1446.71 2006.26,1446.71 \\n  2008.3,1446.71 2010.34,1446.71 2012.38,1446.71 2014.42,1446.71 2016.45,1446.71 2018.49,1446.71 2020.53,1446.71 2022.57,1446.71 2024.61,1446.71 2026.65,1446.71 \\n  2028.69,1446.71 2030.72,1446.71 2032.76,1446.71 2034.8,1446.71 2036.84,1446.71 2038.88,1446.71 2040.92,1446.71 2042.96,1446.71 2044.99,1446.71 2047.03,1446.71 \\n  2049.07,1446.71 2051.11,1446.71 2053.15,1446.71 2055.19,1446.71 2057.23,1446.71 2059.26,1446.71 2061.3,1446.71 2063.34,1446.71 2065.38,1446.71 2067.42,1446.71 \\n  2069.46,1446.71 2071.5,1446.71 2073.53,1446.71 2075.57,1446.71 2077.61,1446.71 2079.65,1446.71 2081.69,1446.71 2083.73,1446.71 2085.77,1446.71 2087.8,1446.71 \\n  2089.84,1446.71 2091.88,1446.71 2093.92,1446.71 2095.96,1446.71 2098,1446.71 2100.04,1446.71 2102.07,1446.71 2104.11,1446.71 2106.15,1446.71 2108.19,1446.71 \\n  2110.23,1446.71 2112.27,1446.71 2114.31,1446.71 2116.34,1446.71 2118.38,1446.71 2120.42,1446.71 2122.46,1446.71 2124.5,1446.71 2126.54,1446.71 2128.58,1446.71 \\n  2130.61,1446.71 2132.65,1446.71 2134.69,1446.71 2136.73,1446.71 2138.77,1446.71 2140.81,1446.71 2142.85,1446.71 2144.88,1446.71 2146.92,1446.71 2148.96,1446.71 \\n  2151,1446.71 2153.04,1446.71 2155.08,1446.71 2157.12,1446.71 2159.15,1446.71 2161.19,1446.71 2163.23,1446.71 2165.27,1446.71 2167.31,1446.71 2169.35,1446.71 \\n  2171.39,1446.71 2173.42,1446.71 2175.46,1446.71 2177.5,1446.71 2179.54,1446.71 2181.58,1446.71 2183.62,1446.71 2185.66,1446.71 2187.69,1446.71 2189.73,1446.71 \\n  2191.77,1446.71 2193.81,1446.71 2195.85,1446.71 2197.89,1446.71 2199.92,1446.71 2201.96,1446.71 2204,1446.71 2206.04,1446.71 2208.08,1446.71 2210.12,1446.71 \\n  2212.16,1446.71 2214.19,1446.71 2216.23,1446.71 2218.27,1446.71 2220.31,1446.71 2222.35,1446.71 2224.39,1446.71 2226.43,1446.71 2228.46,1446.71 2230.5,1446.71 \\n  2232.54,1446.71 2234.58,1446.71 2236.62,1446.71 2238.66,1446.71 2240.7,1446.71 2242.73,1446.71 2244.77,1446.71 2246.81,1446.71 2248.85,1446.71 2250.89,1446.71 \\n  2252.93,1446.71 2254.97,1446.71 2257,1446.71 2259.04,1446.71 2261.08,1446.71 2263.12,1446.71 2265.16,1446.71 2267.2,1446.71 2269.24,1446.71 2271.27,1446.71 \\n  2273.31,1446.71 2275.35,1446.71 2277.39,1446.71 2279.43,1446.71 2281.47,1446.71 2283.51,1446.71 2285.54,1446.71 2287.58,1446.71 2289.62,1446.71 2291.66,1446.71 \\n  \\n  \\\"\\/>\\n<polyline clip-path=\\\"url(#clip9502)\\\" style=\\\"stroke:#e26f46; stroke-width:4; stroke-opacity:1; fill:none\\\" points=\\\"\\n  255.137,1445.35 257.176,1270.24 259.214,149.606 261.253,98.0469 263.291,104.363 265.33,111.062 267.369,117.73 269.407,124.365 271.446,130.967 273.484,137.536 \\n  275.523,144.072 277.561,150.575 279.6,157.046 281.638,163.485 283.677,169.891 285.716,176.266 287.754,182.609 289.793,188.92 291.831,195.199 293.87,201.447 \\n  295.908,207.664 297.947,213.85 299.986,220.005 302.024,226.13 304.063,232.224 306.101,238.287 308.14,244.32 310.178,250.323 312.217,256.296 314.255,262.239 \\n  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1062.41,1258 1064.45,1258.94 1066.48,1259.88 1068.52,1260.81 \\n  1070.56,1261.74 1072.6,1262.67 1074.64,1263.59 1076.68,1264.5 1078.72,1265.41 1080.75,1266.31 1082.79,1267.21 1084.83,1268.11 1086.87,1269 1088.91,1269.89 \\n  1090.95,1270.77 1092.99,1271.65 1095.02,1272.53 1097.06,1273.39 1099.1,1274.26 1101.14,1275.12 1103.18,1275.98 1105.22,1276.83 1107.26,1277.68 1109.29,1278.52 \\n  1111.33,1279.36 1113.37,1280.2 1115.41,1281.03 1117.45,1281.86 1119.49,1282.68 1121.53,1283.5 1123.56,1284.31 1125.6,1285.12 1127.64,1285.93 1129.68,1286.73 \\n  1131.72,1287.53 1133.76,1288.33 1135.8,1289.12 1137.83,1289.9 1139.87,1290.69 1141.91,1291.47 1143.95,1292.24 1145.99,1293.01 1148.03,1293.78 1150.07,1294.54 \\n  1152.1,1295.3 1154.14,1296.06 1156.18,1296.81 1158.22,1297.56 1160.26,1298.3 1162.3,1299.04 1164.34,1299.78 1166.37,1300.52 1168.41,1301.25 1170.45,1301.97 \\n  1172.49,1302.69 1174.53,1303.41 1176.57,1304.13 1178.61,1304.84 1180.64,1305.55 1182.68,1306.25 1184.72,1306.95 1186.76,1307.65 1188.8,1308.35 1190.84,1309.04 \\n  1192.88,1309.72 1194.91,1310.41 1196.95,1311.09 1198.99,1311.77 1201.03,1312.44 1203.07,1313.11 1205.11,1313.78 1207.15,1314.44 1209.18,1315.1 1211.22,1315.76 \\n  1213.26,1316.41 1215.3,1317.06 1217.34,1317.71 1219.38,1318.35 1221.42,1319 1223.45,1319.63 1225.49,1320.27 1227.53,1320.9 1229.57,1321.53 1231.61,1322.15 \\n  1233.65,1322.77 1235.69,1323.39 1237.72,1324.01 1239.76,1324.62 1241.8,1325.23 1243.84,1325.84 1245.88,1326.44 1247.92,1327.04 1249.96,1327.64 1251.99,1328.23 \\n  1254.03,1328.82 1256.07,1329.41 1258.11,1330 1260.15,1330.58 1262.19,1331.16 1264.23,1331.74 1266.26,1332.31 1268.3,1332.88 1270.34,1333.45 1272.38,1334.02 \\n  1274.42,1334.58 1276.46,1335.14 1278.5,1335.7 1280.53,1336.25 1282.57,1336.8 1284.61,1337.35 1286.65,1337.9 1288.69,1338.44 1290.73,1338.98 1292.77,1339.52 \\n  1294.8,1340.05 1296.84,1340.59 1298.88,1341.12 1300.92,1341.64 1302.96,1342.17 1305,1342.69 1307.03,1343.21 1309.07,1343.73 1311.11,1344.24 1313.15,1344.75 \\n  1315.19,1345.26 1317.23,1345.77 1319.27,1346.27 1321.3,1346.77 1323.34,1347.27 1325.38,1347.77 1327.42,1348.26 1329.46,1348.75 1331.5,1349.24 1333.54,1349.73 \\n  1335.57,1350.21 1337.61,1350.69 1339.65,1351.17 1341.69,1351.65 1343.73,1352.13 1345.77,1352.6 1347.81,1353.07 1349.84,1353.54 1351.88,1354 1353.92,1354.46 \\n  1355.96,1354.92 1358,1355.38 1360.04,1355.84 1362.08,1356.29 1364.11,1356.74 1366.15,1357.19 1368.19,1357.64 1370.23,1358.08 1372.27,1358.53 1374.31,1358.97 \\n  1376.35,1359.41 1378.38,1359.84 1380.42,1360.27 1382.46,1360.71 1384.5,1361.14 1386.54,1361.56 1388.58,1361.99 1390.62,1362.41 1392.65,1362.83 1394.69,1363.25 \\n  1396.73,1363.67 1398.77,1364.08 1400.81,1364.49 1402.85,1364.9 1404.89,1365.31 1406.92,1365.72 1408.96,1366.12 1411,1366.53 1413.04,1366.93 1415.08,1367.33 \\n  1417.12,1367.72 1419.16,1368.12 1421.19,1368.51 1423.23,1368.9 1425.27,1369.29 1427.31,1369.67 1429.35,1370.06 1431.39,1370.44 1433.43,1370.82 1435.46,1371.2 \\n  1437.5,1371.58 1439.54,1371.95 1441.58,1372.33 1443.62,1372.7 1445.66,1373.07 1447.7,1373.43 1449.73,1373.8 1451.77,1374.16 1453.81,1374.53 1455.85,1374.89 \\n  1457.89,1375.25 1459.93,1375.6 1461.97,1375.96 1464,1376.31 1466.04,1376.66 1468.08,1377.01 1470.12,1377.36 1472.16,1377.71 1474.2,1378.05 1476.24,1378.39 \\n  1478.27,1378.73 1480.31,1379.07 1482.35,1379.41 1484.39,1379.75 1486.43,1380.08 1488.47,1380.41 1490.51,1380.75 1492.54,1381.08 1494.58,1381.4 1496.62,1381.73 \\n  1498.66,1382.05 1500.7,1382.38 1502.74,1382.7 1504.78,1383.02 1506.81,1383.33 1508.85,1383.65 1510.89,1383.97 1512.93,1384.28 1514.97,1384.59 1517.01,1384.9 \\n  1519.05,1385.21 1521.08,1385.52 1523.12,1385.82 1525.16,1386.13 1527.2,1386.43 1529.24,1386.73 1531.28,1387.03 1533.32,1387.33 1535.35,1387.62 1537.39,1387.92 \\n  1539.43,1388.21 1541.47,1388.5 1543.51,1388.8 1545.55,1389.08 1547.59,1389.37 1549.62,1389.66 1551.66,1389.94 1553.7,1390.23 1555.74,1390.51 1557.78,1390.79 \\n  1559.82,1391.07 1561.86,1391.35 1563.89,1391.62 1565.93,1391.9 1567.97,1392.17 1570.01,1392.44 1572.05,1392.71 1574.09,1392.98 1576.13,1393.25 1578.16,1393.52 \\n  1580.2,1393.78 1582.24,1394.05 1584.28,1394.31 1586.32,1394.57 1588.36,1394.83 1590.4,1395.09 1592.43,1395.35 1594.47,1395.61 1596.51,1395.86 1598.55,1396.12 \\n  1600.59,1396.37 1602.63,1396.62 1604.66,1396.87 1606.7,1397.12 1608.74,1397.37 1610.78,1397.61 1612.82,1397.86 1614.86,1398.1 1616.9,1398.34 1618.93,1398.59 \\n  1620.97,1398.83 1623.01,1399.07 1625.05,1399.3 1627.09,1399.54 1629.13,1399.78 1631.17,1400.01 1633.2,1400.24 1635.24,1400.48 1637.28,1400.71 1639.32,1400.94 \\n  1641.36,1401.16 1643.4,1401.39 1645.44,1401.62 1647.47,1401.84 1649.51,1402.07 1651.55,1402.29 1653.59,1402.51 1655.63,1402.73 1657.67,1402.95 1659.71,1403.17 \\n  1661.74,1403.39 1663.78,1403.6 1665.82,1403.82 1667.86,1404.03 1669.9,1404.25 1671.94,1404.46 1673.98,1404.67 1676.01,1404.88 1678.05,1405.09 1680.09,1405.3 \\n  1682.13,1405.5 1684.17,1405.71 1686.21,1405.91 1688.25,1406.12 1690.28,1406.32 1692.32,1406.52 1694.36,1406.72 1696.4,1406.92 1698.44,1407.12 1700.48,1407.32 \\n  1702.52,1407.51 1704.55,1407.71 1706.59,1407.91 1708.63,1408.1 1710.67,1408.29 1712.71,1408.48 1714.75,1408.67 1716.79,1408.86 1718.82,1409.05 1720.86,1409.24 \\n  1722.9,1409.43 1724.94,1409.61 1726.98,1409.8 1729.02,1409.98 1731.06,1410.17 1733.09,1410.35 1735.13,1410.53 1737.17,1410.71 1739.21,1410.89 1741.25,1411.07 \\n  1743.29,1411.25 1745.33,1411.43 1747.36,1411.6 1749.4,1411.78 1751.44,1411.95 1753.48,1412.12 1755.52,1412.3 1757.56,1412.47 1759.6,1412.64 1761.63,1412.81 \\n  1763.67,1412.98 1765.71,1413.15 1767.75,1413.32 1769.79,1413.48 1771.83,1413.65 1773.87,1413.81 1775.9,1413.98 1777.94,1414.14 1779.98,1414.3 1782.02,1414.47 \\n  1784.06,1414.63 1786.1,1414.79 1788.14,1414.95 1790.17,1415.1 1792.21,1415.26 1794.25,1415.42 1796.29,1415.58 1798.33,1415.73 1800.37,1415.89 1802.41,1416.04 \\n  1804.44,1416.19 1806.48,1416.35 1808.52,1416.5 1810.56,1416.65 1812.6,1416.8 1814.64,1416.95 1816.68,1417.1 1818.71,1417.24 1820.75,1417.39 1822.79,1417.54 \\n  1824.83,1417.68 1826.87,1417.83 1828.91,1417.97 1830.95,1418.12 1832.98,1418.26 1835.02,1418.4 1837.06,1418.54 1839.1,1418.68 1841.14,1418.82 1843.18,1418.96 \\n  1845.22,1419.1 1847.25,1419.24 1849.29,1419.38 1851.33,1419.51 1853.37,1419.65 1855.41,1419.78 1857.45,1419.92 1859.49,1420.05 1861.52,1420.18 1863.56,1420.32 \\n  1865.6,1420.45 1867.64,1420.58 1869.68,1420.71 1871.72,1420.84 1873.76,1420.97 1875.79,1421.1 1877.83,1421.23 1879.87,1421.35 1881.91,1421.48 1883.95,1421.61 \\n  1885.99,1421.73 1888.03,1421.86 1890.06,1421.98 1892.1,1422.1 1894.14,1422.23 1896.18,1422.35 1898.22,1422.47 1900.26,1422.59 1902.29,1422.71 1904.33,1422.83 \\n  1906.37,1422.95 1908.41,1423.07 1910.45,1423.19 1912.49,1423.3 1914.53,1423.42 1916.56,1423.54 1918.6,1423.65 1920.64,1423.77 1922.68,1423.88 1924.72,1424 \\n  1926.76,1424.11 1928.8,1424.22 1930.83,1424.34 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       "                'for more information on how to resolve this issue.</p>' +\n",
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(WebIO.setval({\\\"name\\\":\\\"changes\\\",\\\"scope\\\":\\\"5137570596197040455\\\",\\\"id\\\":\\\"ob_18\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"changes\\\"]=false}),self),this[\\\"index\\\"].subscribe((function (val){!(this.valueFromJulia[\\\"index\\\"]) ? (WebIO.setval({\\\"name\\\":\\\"index\\\",\\\"scope\\\":\\\"5137570596197040455\\\",\\\"id\\\":\\\"ob_17\\\",\\\"type\\\":\\\"observable\\\"},val)) : undefined; return this.valueFromJulia[\\\"index\\\"]=false}),self)]\\n        \\n    }\\n    self.model = new AppViewModel();\\n    self.valueFromJulia = {};\\n    for (var key in json_data) {\\n        self.valueFromJulia[key] = false;\\n    }\\n    ko.applyBindings(self.model, self.dom);\\n}\\n);\\n    (WebIO.importBlock({\\\"data\\\":[{\\\"name\\\":\\\"knockout\\\",\\\"type\\\":\\\"js\\\",\\\"url\\\":\\\"/assetserver/52cf2bdd5395809c38291c33d736f11cd7f74e97-knockout.js\\\"},{\\\"name\\\":\\\"knockout_punches\\\",\\\"type\\\":\\\"js\\\",\\\"url\\\":\\\"/assetserver/41227728d458b3e6e915ef0af3d37e57554ae0c4-knockout_punches.js\\\"}],\\\"type\\\":\\\"async_block\\\"})).then((imports) => handler.apply(this, imports));\\n}\\n\")])], Dict{Symbol,Any}(:className => \"field interact-widget\")), Observable{Any} with 0 listeners. Value:\n",
       "Node{WebIO.DOM}(WebIO.DOM(:html, :div), Any[Plot{Plots.GRBackend() n=3}], Dict{Symbol,Any}(:className => \"interact-flex-row interact-widget\"))], Dict{Symbol,Any}())"
      ]
     },
     "execution_count": 9,
     "metadata": {
      "application/vnd.webio.node+json": {
       "kernelId": "0d1df802-ae06-459a-9281-a68f93d72a6a"
      }
     },
     "output_type": "execute_result"
    }
   ],
   "source": [
    "OME = 3\n",
    "ts = LinRange(0.0, 5, 1000)\n",
    "@manipulate for β=exp10.(-OME:0.001:OME), γ=exp10.(-OME:0.001:OME)\n",
    "                    Plots.plot(ts,solve(\n",
    "                    remake(\n",
    "                        prob;\n",
    "                        p = [β,γ],\n",
    "                        tspan = (ts[1], ts[end])\n",
    "                        )\n",
    "                    )(ts)',label=[\"S\" \"I\" \"R\"])\n",
    "end\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "@webio": {
   "lastCommId": "b605ead6b0974c4dbfe1f3ec4179e46b",
   "lastKernelId": "0d1df802-ae06-459a-9281-a68f93d72a6a"
  },
  "kernelspec": {
   "display_name": "Julia 1.3.1",
   "language": "julia",
   "name": "julia-1.3"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "1.3.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
	#!/bin/bash
	julia -e 'using WebIO; WebIO.install_jupyter_nbextension();'
	[deps]
	DifferentialEquations = "0c46a032-eb83-5123-abaf-570d42b7fbaa"
	Interact = "c601a237-2ae4-5e1e-952c-7a85b0c7eef1"
	ModelingToolkit = "961ee093-0014-501f-94e3-6117800e7a78"
	Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
	WebIO = "0f1e0344-ec1d-5b48-a673-e5cf874b6c29"