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Optimal Transport using JuMP

$$ \inf_{P\in U(\mu,\nu)}\langle P,C\rangle$$

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Unexpected behavior may occur. └ @ /tmp/jl_rMZRxT/Manifest.toml:0  Installed GLPK_jll ────────────── v5.0.1+0 Installed JSON ────────────────── v0.21.2  Installed StatsFuns ───────────── v0.9.14  Installed Preferences ─────────── v1.2.3  Installed DiffRules ───────────── v1.9.0  Installed MutableArithmetics ──── v0.3.2  Installed SpecialFunctions ────── v2.0.0  Installed BenchmarkTools ──────── v1.2.2  Installed Parsers ─────────────── v2.2.0  Installed NNlib ───────────────── v0.7.34  Installed PDMats ──────────────── v0.11.5  Installed StaticArrays ────────── v1.3.3  Installed JLLWrappers ─────────── v1.4.0  Installed NaNMath ─────────────── v0.3.6  Installed BinaryProvider ──────── v0.5.10  Installed CEnum ───────────────── v0.4.1  Installed ChainRulesCore ──────── v1.11.6  Installed FillArrays ──────────── v0.12.7  Installed JuMP ────────────────── v0.22.2  Installed LogExpFunctions ─────── v0.3.6  Installed Compat ──────────────── v3.41.0  Installed StatsAPI ────────────── v1.2.0  Installed InverseFunctions ────── v0.1.2  Installed StatsBase ───────────── v0.33.14  Installed OptimalTransport ────── v0.3.18  Installed MathOptInterface ────── v0.10.7  Installed Distributions ───────── v0.25.41  Installed ExactOptimalTransport ─ v0.2.1  Installed GLPK ────────────────── v0.15.2  Building GLPK → `~/.julia/scratchspaces/44cfe95a-1eb2-52ea-b672-e2afdf69b78f/ab6d06aa06ce3de20a82de5f7373b40796260f72/build.log` [┌ Progress Warning: Could not use exact versions of packages in manifest, re-resolvingm └ @ Pkg.Operations /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Operations.jl:1900 ┌ Info: Operation failed. Updating registries and trying again... │  exception = │  Unsatisfiable requirements detected for package BinaryProvider [b99e7846]: │  BinaryProvider [b99e7846] log: │  ├─possible versions are: 0.4.0 - 0.5.10 or uninstalled │  ├─restricted to versions 0.5 by an explicit requirement, leaving only versions: 0.5.0 - 0.5.10 └  └─restricted by julia compatibility requirements to versions: uninstalled — no versions left Instantiating... === Resolving... === ┌ Info: Operation failed. Updating registries and trying again... │  exception = │  Unsatisfiable requirements detected for package FillArrays [1a297f60]: │  FillArrays [1a297f60] log: │  ├─possible versions are: 0.2.0 - 1.13.0 or uninstalled │  ├─restricted to versions 0.12.7 by an explicit requirement, leaving only versions: 0.12.7 └  └─restricted by julia compatibility requirements to versions: 0.13.0 - 1.13.0 or uninstalled — no versions left Resolving... === ┌ Warning: Operation failed. Removing Manifest and trying again... │  exception = │  Unsatisfiable requirements detected for package FillArrays [1a297f60]: │  FillArrays [1a297f60] log: │  ├─possible versions are: 0.2.0 - 1.13.0 or uninstalled │  ├─restricted to versions 0.12.7 by an explicit requirement, leaving only versions: 0.12.7 │  └─restricted by julia compatibility requirements to versions: 0.13.0 - 1.13.0 or uninstalled — no versions left └ @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:494 Resolving... === ┌ Warning: Operation failed. Removing Project compat entries and Manifest and trying again... │  exception = │  Unsatisfiable requirements detected for package BinaryProvider [b99e7846]: │  BinaryProvider [b99e7846] log: │  ├─possible versions are: 0.4.0 - 0.5.10 or uninstalled │  ├─restricted by compatibility requirements with GLPK [60bf3e95] to versions: 0.5.0 - 0.5.10 │  │ └─GLPK [60bf3e95] log: │  │ ├─possible versions are: 0.6.1 - 1.2.1 or uninstalled │  │ └─restricted to versions 0.15.2 - 0.15 by an explicit requirement, leaving only versions: 0.15.2 - 0.15.3 │  └─restricted by julia compatibility requirements to versions: uninstalled — no versions left │  Stacktrace: │  [1] propagate_constraints!(graph::Pkg.Resolve.Graph, sources::Set{Int64}; log_events::Bool) │   @ Pkg.Resolve /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Resolve/graphtype.jl:1072 │  [2] propagate_constraints! (repeats 2 times) │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Resolve/graphtype.jl:1008 [inlined] │  [3] simplify_graph!(graph::Pkg.Resolve.Graph, sources::Set{Int64}; clean_graph::Bool) │   @ Pkg.Resolve /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Resolve/graphtype.jl:1533 │  [4] simplify_graph! (repeats 2 times) │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Resolve/graphtype.jl:1532 [inlined] │  [5] resolve_versions!(env::Pkg.Types.EnvCache, registries::Vector{Pkg.Registry.RegistryInstance}, pkgs::Vector{Pkg.Types.PackageSpec}, julia_version::VersionNumber, installed_only::Bool) │   @ Pkg.Operations /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Operations.jl:423 │  [6] up(ctx::Pkg.Types.Context, pkgs::Vector{Pkg.Types.PackageSpec}, level::Pkg.Types.UpgradeLevel; skip_writing_project::Bool, preserve::Nothing) │   @ Pkg.Operations /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Operations.jl:1613 │  [7] up(ctx::Pkg.Types.Context, pkgs::Vector{Pkg.Types.PackageSpec}; level::Pkg.Types.UpgradeLevel, mode::Pkg.Types.PackageMode, preserve::Nothing, update_registry::Bool, skip_writing_project::Bool, kwargs::@Kwargs{}) │   @ Pkg.API /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:382 │  [8] up │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:356 [inlined] │  [9] up │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:164 [inlined] │  [10] #resolve#143 │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:388 [inlined] │  [11] resolve │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:387 [inlined] │  [12] (::Pluto.var"#173#174"{Pluto.Notebook, Pluto.IOListener})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:476 │  [13] #202 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:718 [inlined] │  [14] withinteractive(f::Pluto.var"#202#204"{Pluto.var"#173#174"{Pluto.Notebook, Pluto.IOListener}}, value::Bool) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:737 │  [15] #201 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:717 [inlined] │  [16] withio(f::Pluto.var"#201#203"{Pluto.var"#173#174"{Pluto.Notebook, Pluto.IOListener}}, ctx::Pkg.Types.Context, io::IOContext{Base.BufferStream}) │   @ Pluto.PkgCompat ~/.julia/packages/Pluto/6smog/src/packages/PkgCompat.jl:158 │  [17] with_io_setup(f::Pluto.var"#173#174"{Pluto.Notebook, Pluto.IOListener}, notebook::Pluto.Notebook, iolistener::Pluto.IOListener) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:716 │  [18] _resolve │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:473 [inlined] │  [19] #133 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:190 [inlined] │  [20] with_auto_fixes(f::Pluto.var"#133#151"{Pluto.Notebook, Pluto.IOListener}, notebook::Pluto.Notebook) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:499 │  [21] #132 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:189 [inlined] │  [22] report_business!(f::Pluto.var"#132#150"{Pluto.Notebook, Pluto.IOListener}, parent::Pluto.Status.Business, name::Symbol) │   @ Pluto.Status ~/.julia/packages/Pluto/6smog/src/webserver/Status.jl:84 │  [23] (::Pluto.var"#129#147"{Pluto.Configuration.CompilerOptions, Pluto.Notebook, Nothing, Pluto.IOListener, Vector{String}, Vector{String}, Bool, Bool, Pluto.Status.Business})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:188 │  [24] with_logstate(f::Pluto.var"#129#147"{Pluto.Configuration.CompilerOptions, Pluto.Notebook, Nothing, Pluto.IOListener, Vector{String}, Vector{String}, Bool, Bool, Pluto.Status.Business}, logstate::Base.CoreLogging.LogState) │   @ Base.CoreLogging ./logging/logging.jl:522 │  [25] with_logger(f::Function, logger::LoggingExtras.TeeLogger{Tuple{GitHubActions.GitHubActionsLogger, Base.CoreLogging.ConsoleLogger}}) │   @ Base.CoreLogging ./logging/logging.jl:632 │  [26] withlogcapture(f::Function, iolistener::Pluto.IOListener) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:723 │  [27] #128 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:143 [inlined] │  [28] withtoken(f::Pluto.var"#128#146"{Pluto.Configuration.CompilerOptions, Pluto.Notebook, Nothing, Pluto.IOListener, Vector{String}, Vector{String}, Bool, Bool, Pluto.Status.Business}, token::Pluto.Token) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/evaluation/Tokens.jl:19 │  [29] sync_nbpkg_core(notebook::Pluto.Notebook, old_topology::PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}, new_topology::PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}; on_terminal_output::Pluto.var"#iocallback#168"{Pluto.ServerSession, Pluto.Notebook}, cleanup_iolistener::Base.RefValue{Function}, lag::Float64, compiler_options::Pluto.Configuration.CompilerOptions) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:142 │  [30] (::Pluto.var"#165#167"{Pluto.ServerSession, Pluto.Notebook, PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}, PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}, Base.RefValue{Function}})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:344 │  [31] sync_nbpkg(session::Pluto.ServerSession, notebook::Pluto.Notebook, old_topology::PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}, new_topology::PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}; save::Bool, take_token::Bool) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:330 │  [32] (::Pluto.var"#236#242"{Bool, @Kwargs{}, Pluto.ServerSession, Pluto.Notebook})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/evaluation/Run.jl:473 │  [33] withtoken(f::Pluto.var"#236#242"{Bool, @Kwargs{}, Pluto.ServerSession, Pluto.Notebook}, token::Pluto.Token) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/evaluation/Tokens.jl:19 │  [34] #235 │   @ ~/.julia/packages/Pluto/6smog/src/evaluation/Run.jl:457 [inlined] │  [35] (::Pluto.var"#227#228"{Pluto.var"#235#241"{Bool, @Kwargs{}, Pluto.ServerSession, Pluto.Notebook}})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/evaluation/Tokens.jl:58 └ @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:501 Resolving... ===  Installed JuMP ─ v1.23.2 Installed GLPK ─ v1.2.1  Updating `/tmp/jl_rMZRxT/Project.toml`  [b4f34e82] + Distances v0.10.11 [60bf3e95] + GLPK v1.2.1 [4076af6c] + JuMP v1.23.2 [7e02d93a] + OptimalTransport v0.3.19  Updating `/tmp/jl_rMZRxT/Manifest.toml` [66dad0bd] + AliasTables v1.1.3 [6e4b80f9] + BenchmarkTools v1.5.0 [523fee87] + CodecBzip2 v0.8.4 [944b1d66] + CodecZlib v0.7.6 [bbf7d656] + CommonSubexpressions v0.3.1 [34da2185] + Compat v4.16.0 [9a962f9c] + DataAPI v1.16.0 [864edb3b] + DataStructures v0.18.20 [163ba53b] + DiffResults v1.1.0 [b552c78f] + DiffRules v1.15.1 [b4f34e82] + Distances v0.10.11 [31c24e10] + Distributions v0.25.112 [ffbed154] + DocStringExtensions v0.9.3 [24df6009] + ExactOptimalTransport v0.2.5 [1a297f60] + FillArrays v1.13.0 [f6369f11] + ForwardDiff v0.10.36 [60bf3e95] + GLPK v1.2.1 [34004b35] + HypergeometricFunctions v0.3.24 [92d709cd] + IrrationalConstants v0.2.2 [42fd0dbc] + IterativeSolvers v0.9.4 [692b3bcd] + JLLWrappers v1.6.1 [682c06a0] + JSON v0.21.4 [4076af6c] + JuMP v1.23.2 [2ab3a3ac] + LogExpFunctions v0.3.28 [1914dd2f] + MacroTools v0.5.13 [b8f27783] + MathOptInterface v1.31.2 [e1d29d7a] + Missings v1.2.0 [d8a4904e] + MutableArithmetics v1.5.1 ⌅ [872c559c] + NNlib v0.7.6 [77ba4419] + NaNMath v1.0.2 [7e02d93a] + OptimalTransport v0.3.19 [bac558e1] + OrderedCollections v1.6.3 [90014a1f] + PDMats v0.11.31 [69de0a69] + Parsers v2.8.1 [aea7be01] + PrecompileTools v1.2.1 [21216c6a] + Preferences v1.4.3 [43287f4e] + PtrArrays v1.2.1 [1fd47b50] + QuadGK v2.11.1 [3cdcf5f2] + RecipesBase v1.3.4 [189a3867] + Reexport v1.2.2 [ae029012] + Requires v1.3.0 [79098fc4] + Rmath v0.8.0 [a2af1166] + SortingAlgorithms v1.2.1 [276daf66] + SpecialFunctions v2.4.0 [1e83bf80] + StaticArraysCore v1.4.3 [10745b16] + Statistics v1.11.1 [82ae8749] + StatsAPI v1.7.0 [2913bbd2] + StatsBase v0.34.3 [4c63d2b9] + StatsFuns v1.3.2 [3bb67fe8] + TranscodingStreams v0.11.3 [6e34b625] + Bzip2_jll v1.0.8+1 [e8aa6df9] + GLPK_jll v5.0.1+0 [efe28fd5] + OpenSpecFun_jll v0.5.5+0 [f50d1b31] + Rmath_jll v0.5.1+0 [0dad84c5] + ArgTools v1.1.2 [56f22d72] + Artifacts v1.11.0 [2a0f44e3] + Base64 v1.11.0 [ade2ca70] + Dates v1.11.0 [f43a241f] + Downloads v1.6.0 [7b1f6079] + FileWatching v1.11.0 [b77e0a4c] + InteractiveUtils v1.11.0 [b27032c2] + LibCURL v0.6.4 [76f85450] + LibGit2 v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.11.0 [56ddb016] + Logging v1.11.0 [d6f4376e] + Markdown v1.11.0 [a63ad114] + Mmap v1.11.0 [ca575930] + NetworkOptions v1.2.0 [44cfe95a] + Pkg v1.11.0 [de0858da] + Printf v1.11.0 [9abbd945] + Profile v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v0.7.0 [9e88b42a] + Serialization v1.11.0 [2f01184e] + SparseArrays v1.11.0 [4607b0f0] + SuiteSparse [fa267f1f] + TOML v1.0.3 [a4e569a6] + Tar v1.10.0 [8dfed614] + Test v1.11.0 [cf7118a7] + UUIDs v1.11.0 [4ec0a83e] + Unicode v1.11.0 [e66e0078] + CompilerSupportLibraries_jll v1.1.1+0 [781609d7] + GMP_jll v6.3.0+0 [deac9b47] + LibCURL_jll v8.6.0+0 [e37daf67] + LibGit2_jll v1.7.2+0 [29816b5a] + LibSSH2_jll v1.11.0+1 [c8ffd9c3] + MbedTLS_jll v2.28.6+0 [14a3606d] + MozillaCACerts_jll v2023.12.12 [4536629a] + OpenBLAS_jll v0.3.27+1 [05823500] + OpenLibm_jll v0.8.1+2 [bea87d4a] + SuiteSparse_jll v7.7.0+0 [83775a58] + Zlib_jll v1.2.13+1 [8e850b90] + libblastrampoline_jll v5.11.0+0 [8e850ede] + nghttp2_jll v1.59.0+0 [3f19e933] + p7zip_jll v17.4.0+2  Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m` Instantiating... === Precompiling... ===  Activating project at `/tmp/jl_rMZRxT` Precompiling project... 1663.7 ms ✓ GLPK_jll 6086.0 ms ✓ ExactOptimalTransport 7744.0 ms ✓ OptimalTransport 13905.7 ms ✓ GLPK 36229.0 ms ✓ JuMP 5 dependencies successfully precompiled in 37 seconds. 90 already precompiled.Șnbpkg_syncÚf Instantiating... === ┌ Warning: The active manifest file has dependencies that were resolved with a different julia version (1.7.1). Unexpected behavior may occur. └ @ /tmp/jl_rMZRxT/Manifest.toml:0  Installed GLPK_jll ────────────── v5.0.1+0 Installed JSON ────────────────── v0.21.2  Installed StatsFuns ───────────── v0.9.14  Installed Preferences ─────────── v1.2.3  Installed DiffRules ───────────── v1.9.0  Installed MutableArithmetics ──── v0.3.2  Installed SpecialFunctions ────── v2.0.0  Installed BenchmarkTools ──────── v1.2.2  Installed Parsers ─────────────── v2.2.0  Installed NNlib ───────────────── v0.7.34  Installed PDMats ──────────────── v0.11.5  Installed StaticArrays ────────── v1.3.3  Installed JLLWrappers ─────────── v1.4.0  Installed NaNMath ─────────────── v0.3.6  Installed BinaryProvider ──────── v0.5.10  Installed CEnum ───────────────── v0.4.1  Installed ChainRulesCore ──────── v1.11.6  Installed FillArrays ──────────── v0.12.7  Installed JuMP ────────────────── v0.22.2  Installed LogExpFunctions ─────── v0.3.6  Installed Compat ──────────────── v3.41.0  Installed StatsAPI ────────────── v1.2.0  Installed InverseFunctions ────── v0.1.2  Installed StatsBase ───────────── v0.33.14  Installed OptimalTransport ────── v0.3.18  Installed MathOptInterface ────── v0.10.7  Installed Distributions ───────── v0.25.41  Installed ExactOptimalTransport ─ v0.2.1  Installed GLPK ────────────────── v0.15.2  Building GLPK → `~/.julia/scratchspaces/44cfe95a-1eb2-52ea-b672-e2afdf69b78f/ab6d06aa06ce3de20a82de5f7373b40796260f72/build.log` [┌ Progress Warning: Could not use exact versions of packages in manifest, re-resolvingm └ @ Pkg.Operations /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Operations.jl:1900 ┌ Info: Operation failed. Updating registries and trying again... │  exception = │  Unsatisfiable requirements detected for package BinaryProvider [b99e7846]: │  BinaryProvider [b99e7846] log: │  ├─possible versions are: 0.4.0 - 0.5.10 or uninstalled │  ├─restricted to versions 0.5 by an explicit requirement, leaving only versions: 0.5.0 - 0.5.10 └  └─restricted by julia compatibility requirements to versions: uninstalled — no versions left Instantiating... === Resolving... === ┌ Info: Operation failed. Updating registries and trying again... │  exception = │  Unsatisfiable requirements detected for package FillArrays [1a297f60]: │  FillArrays [1a297f60] log: │  ├─possible versions are: 0.2.0 - 1.13.0 or uninstalled │  ├─restricted to versions 0.12.7 by an explicit requirement, leaving only versions: 0.12.7 └  └─restricted by julia compatibility requirements to versions: 0.13.0 - 1.13.0 or uninstalled — no versions left Resolving... === ┌ Warning: Operation failed. Removing Manifest and trying again... │  exception = │  Unsatisfiable requirements detected for package FillArrays [1a297f60]: │  FillArrays [1a297f60] log: │  ├─possible versions are: 0.2.0 - 1.13.0 or uninstalled │  ├─restricted to versions 0.12.7 by an explicit requirement, leaving only versions: 0.12.7 │  └─restricted by julia compatibility requirements to versions: 0.13.0 - 1.13.0 or uninstalled — no versions left └ @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:494 Resolving... === ┌ Warning: Operation failed. Removing Project compat entries and Manifest and trying again... │  exception = │  Unsatisfiable requirements detected for package BinaryProvider [b99e7846]: │  BinaryProvider [b99e7846] log: │  ├─possible versions are: 0.4.0 - 0.5.10 or uninstalled │  ├─restricted by compatibility requirements with GLPK [60bf3e95] to versions: 0.5.0 - 0.5.10 │  │ └─GLPK [60bf3e95] log: │  │ ├─possible versions are: 0.6.1 - 1.2.1 or uninstalled │  │ └─restricted to versions 0.15.2 - 0.15 by an explicit requirement, leaving only versions: 0.15.2 - 0.15.3 │  └─restricted by julia compatibility requirements to versions: uninstalled — no versions left │  Stacktrace: │  [1] propagate_constraints!(graph::Pkg.Resolve.Graph, sources::Set{Int64}; log_events::Bool) │   @ Pkg.Resolve /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Resolve/graphtype.jl:1072 │  [2] propagate_constraints! (repeats 2 times) │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Resolve/graphtype.jl:1008 [inlined] │  [3] simplify_graph!(graph::Pkg.Resolve.Graph, sources::Set{Int64}; clean_graph::Bool) │   @ Pkg.Resolve /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Resolve/graphtype.jl:1533 │  [4] simplify_graph! (repeats 2 times) │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Resolve/graphtype.jl:1532 [inlined] │  [5] resolve_versions!(env::Pkg.Types.EnvCache, registries::Vector{Pkg.Registry.RegistryInstance}, pkgs::Vector{Pkg.Types.PackageSpec}, julia_version::VersionNumber, installed_only::Bool) │   @ Pkg.Operations /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Operations.jl:423 │  [6] up(ctx::Pkg.Types.Context, pkgs::Vector{Pkg.Types.PackageSpec}, level::Pkg.Types.UpgradeLevel; skip_writing_project::Bool, preserve::Nothing) │   @ Pkg.Operations /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Operations.jl:1613 │  [7] up(ctx::Pkg.Types.Context, pkgs::Vector{Pkg.Types.PackageSpec}; level::Pkg.Types.UpgradeLevel, mode::Pkg.Types.PackageMode, preserve::Nothing, update_registry::Bool, skip_writing_project::Bool, kwargs::@Kwargs{}) │   @ Pkg.API /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:382 │  [8] up │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:356 [inlined] │  [9] up │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:164 [inlined] │  [10] #resolve#143 │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:388 [inlined] │  [11] resolve │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:387 [inlined] │  [12] (::Pluto.var"#173#174"{Pluto.Notebook, Pluto.IOListener})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:476 │  [13] #202 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:718 [inlined] │  [14] withinteractive(f::Pluto.var"#202#204"{Pluto.var"#173#174"{Pluto.Notebook, Pluto.IOListener}}, value::Bool) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:737 │  [15] #201 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:717 [inlined] │  [16] withio(f::Pluto.var"#201#203"{Pluto.var"#173#174"{Pluto.Notebook, Pluto.IOListener}}, ctx::Pkg.Types.Context, io::IOContext{Base.BufferStream}) │   @ Pluto.PkgCompat ~/.julia/packages/Pluto/6smog/src/packages/PkgCompat.jl:158 │  [17] with_io_setup(f::Pluto.var"#173#174"{Pluto.Notebook, Pluto.IOListener}, notebook::Pluto.Notebook, iolistener::Pluto.IOListener) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:716 │  [18] _resolve │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:473 [inlined] │  [19] #133 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:190 [inlined] │  [20] with_auto_fixes(f::Pluto.var"#133#151"{Pluto.Notebook, Pluto.IOListener}, notebook::Pluto.Notebook) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:499 │  [21] #132 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:189 [inlined] │  [22] report_business!(f::Pluto.var"#132#150"{Pluto.Notebook, Pluto.IOListener}, parent::Pluto.Status.Business, name::Symbol) │   @ Pluto.Status ~/.julia/packages/Pluto/6smog/src/webserver/Status.jl:84 │  [23] (::Pluto.var"#129#147"{Pluto.Configuration.CompilerOptions, Pluto.Notebook, Nothing, Pluto.IOListener, Vector{String}, Vector{String}, Bool, Bool, Pluto.Status.Business})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:188 │  [24] with_logstate(f::Pluto.var"#129#147"{Pluto.Configuration.CompilerOptions, Pluto.Notebook, Nothing, Pluto.IOListener, Vector{String}, Vector{String}, Bool, Bool, Pluto.Status.Business}, logstate::Base.CoreLogging.LogState) │   @ Base.CoreLogging ./logging/logging.jl:522 │  [25] with_logger(f::Function, logger::LoggingExtras.TeeLogger{Tuple{GitHubActions.GitHubActionsLogger, Base.CoreLogging.ConsoleLogger}}) │   @ Base.CoreLogging ./logging/logging.jl:632 │  [26] withlogcapture(f::Function, iolistener::Pluto.IOListener) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:723 │  [27] #128 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:143 [inlined] │  [28] withtoken(f::Pluto.var"#128#146"{Pluto.Configuration.CompilerOptions, Pluto.Notebook, Nothing, Pluto.IOListener, Vector{String}, Vector{String}, Bool, Bool, Pluto.Status.Business}, token::Pluto.Token) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/evaluation/Tokens.jl:19 │  [29] sync_nbpkg_core(notebook::Pluto.Notebook, old_topology::PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}, new_topology::PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}; on_terminal_output::Pluto.var"#iocallback#168"{Pluto.ServerSession, Pluto.Notebook}, cleanup_iolistener::Base.RefValue{Function}, lag::Float64, compiler_options::Pluto.Configuration.CompilerOptions) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:142 │  [30] (::Pluto.var"#165#167"{Pluto.ServerSession, Pluto.Notebook, PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}, PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}, Base.RefValue{Function}})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:344 │  [31] sync_nbpkg(session::Pluto.ServerSession, notebook::Pluto.Notebook, old_topology::PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}, new_topology::PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}; save::Bool, take_token::Bool) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:330 │  [32] (::Pluto.var"#236#242"{Bool, @Kwargs{}, Pluto.ServerSession, Pluto.Notebook})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/evaluation/Run.jl:473 │  [33] withtoken(f::Pluto.var"#236#242"{Bool, @Kwargs{}, Pluto.ServerSession, Pluto.Notebook}, token::Pluto.Token) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/evaluation/Tokens.jl:19 │  [34] #235 │   @ ~/.julia/packages/Pluto/6smog/src/evaluation/Run.jl:457 [inlined] │  [35] (::Pluto.var"#227#228"{Pluto.var"#235#241"{Bool, @Kwargs{}, Pluto.ServerSession, Pluto.Notebook}})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/evaluation/Tokens.jl:58 └ @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:501 Resolving... ===  Installed JuMP ─ v1.23.2 Installed GLPK ─ v1.2.1  Updating `/tmp/jl_rMZRxT/Project.toml`  [b4f34e82] + Distances v0.10.11 [60bf3e95] + GLPK v1.2.1 [4076af6c] + JuMP v1.23.2 [7e02d93a] + OptimalTransport v0.3.19  Updating `/tmp/jl_rMZRxT/Manifest.toml` [66dad0bd] + AliasTables v1.1.3 [6e4b80f9] + BenchmarkTools v1.5.0 [523fee87] + CodecBzip2 v0.8.4 [944b1d66] + CodecZlib v0.7.6 [bbf7d656] + CommonSubexpressions v0.3.1 [34da2185] + Compat v4.16.0 [9a962f9c] + DataAPI v1.16.0 [864edb3b] + DataStructures v0.18.20 [163ba53b] + DiffResults v1.1.0 [b552c78f] + DiffRules v1.15.1 [b4f34e82] + Distances v0.10.11 [31c24e10] + Distributions v0.25.112 [ffbed154] + DocStringExtensions v0.9.3 [24df6009] + ExactOptimalTransport v0.2.5 [1a297f60] + FillArrays v1.13.0 [f6369f11] + ForwardDiff v0.10.36 [60bf3e95] + GLPK v1.2.1 [34004b35] + HypergeometricFunctions v0.3.24 [92d709cd] + IrrationalConstants v0.2.2 [42fd0dbc] + IterativeSolvers v0.9.4 [692b3bcd] + JLLWrappers v1.6.1 [682c06a0] + JSON v0.21.4 [4076af6c] + JuMP v1.23.2 [2ab3a3ac] + LogExpFunctions v0.3.28 [1914dd2f] + MacroTools v0.5.13 [b8f27783] + MathOptInterface v1.31.2 [e1d29d7a] + Missings v1.2.0 [d8a4904e] + MutableArithmetics v1.5.1 ⌅ [872c559c] + NNlib v0.7.6 [77ba4419] + NaNMath v1.0.2 [7e02d93a] + OptimalTransport v0.3.19 [bac558e1] + OrderedCollections v1.6.3 [90014a1f] + PDMats v0.11.31 [69de0a69] + Parsers v2.8.1 [aea7be01] + PrecompileTools v1.2.1 [21216c6a] + Preferences v1.4.3 [43287f4e] + PtrArrays v1.2.1 [1fd47b50] + QuadGK v2.11.1 [3cdcf5f2] + RecipesBase v1.3.4 [189a3867] + Reexport v1.2.2 [ae029012] + Requires v1.3.0 [79098fc4] + Rmath v0.8.0 [a2af1166] + SortingAlgorithms v1.2.1 [276daf66] + SpecialFunctions v2.4.0 [1e83bf80] + StaticArraysCore v1.4.3 [10745b16] + Statistics v1.11.1 [82ae8749] + StatsAPI v1.7.0 [2913bbd2] + StatsBase v0.34.3 [4c63d2b9] + StatsFuns v1.3.2 [3bb67fe8] + TranscodingStreams v0.11.3 [6e34b625] + Bzip2_jll v1.0.8+1 [e8aa6df9] + GLPK_jll v5.0.1+0 [efe28fd5] + OpenSpecFun_jll v0.5.5+0 [f50d1b31] + Rmath_jll v0.5.1+0 [0dad84c5] + ArgTools v1.1.2 [56f22d72] + Artifacts v1.11.0 [2a0f44e3] + Base64 v1.11.0 [ade2ca70] + Dates v1.11.0 [f43a241f] + Downloads v1.6.0 [7b1f6079] + FileWatching v1.11.0 [b77e0a4c] + InteractiveUtils v1.11.0 [b27032c2] + LibCURL v0.6.4 [76f85450] + LibGit2 v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.11.0 [56ddb016] + Logging v1.11.0 [d6f4376e] + Markdown v1.11.0 [a63ad114] + Mmap v1.11.0 [ca575930] + NetworkOptions v1.2.0 [44cfe95a] + Pkg v1.11.0 [de0858da] + Printf v1.11.0 [9abbd945] + Profile v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v0.7.0 [9e88b42a] + Serialization v1.11.0 [2f01184e] + SparseArrays v1.11.0 [4607b0f0] + SuiteSparse [fa267f1f] + TOML v1.0.3 [a4e569a6] + Tar v1.10.0 [8dfed614] + Test v1.11.0 [cf7118a7] + UUIDs v1.11.0 [4ec0a83e] + Unicode v1.11.0 [e66e0078] + CompilerSupportLibraries_jll v1.1.1+0 [781609d7] + GMP_jll v6.3.0+0 [deac9b47] + LibCURL_jll v8.6.0+0 [e37daf67] + LibGit2_jll v1.7.2+0 [29816b5a] + LibSSH2_jll v1.11.0+1 [c8ffd9c3] + MbedTLS_jll v2.28.6+0 [14a3606d] + MozillaCACerts_jll v2023.12.12 [4536629a] + OpenBLAS_jll v0.3.27+1 [05823500] + OpenLibm_jll v0.8.1+2 [bea87d4a] + SuiteSparse_jll v7.7.0+0 [83775a58] + Zlib_jll v1.2.13+1 [8e850b90] + libblastrampoline_jll v5.11.0+0 [8e850ede] + nghttp2_jll v1.59.0+0 [3f19e933] + p7zip_jll v17.4.0+2  Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m` Instantiating... === Precompiling... ===  Activating project at `/tmp/jl_rMZRxT` Precompiling project... 1663.7 ms ✓ GLPK_jll 6086.0 ms ✓ ExactOptimalTransport 7744.0 ms ✓ OptimalTransport 13905.7 ms ✓ GLPK 36229.0 ms ✓ JuMP 5 dependencies successfully precompiled in 37 seconds. 90 already precompiled.©DistancesÚf Instantiating... === ┌ Warning: The active manifest file has dependencies that were resolved with a different julia version (1.7.1). Unexpected behavior may occur. └ @ /tmp/jl_rMZRxT/Manifest.toml:0  Installed GLPK_jll ────────────── v5.0.1+0 Installed JSON ────────────────── v0.21.2  Installed StatsFuns ───────────── v0.9.14  Installed Preferences ─────────── v1.2.3  Installed DiffRules ───────────── v1.9.0  Installed MutableArithmetics ──── v0.3.2  Installed SpecialFunctions ────── v2.0.0  Installed BenchmarkTools ──────── v1.2.2  Installed Parsers ─────────────── v2.2.0  Installed NNlib ───────────────── v0.7.34  Installed PDMats ──────────────── v0.11.5  Installed StaticArrays ────────── v1.3.3  Installed JLLWrappers ─────────── v1.4.0  Installed NaNMath ─────────────── v0.3.6  Installed BinaryProvider ──────── v0.5.10  Installed CEnum ───────────────── v0.4.1  Installed ChainRulesCore ──────── v1.11.6  Installed FillArrays ──────────── v0.12.7  Installed JuMP ────────────────── v0.22.2  Installed LogExpFunctions ─────── v0.3.6  Installed Compat ──────────────── v3.41.0  Installed StatsAPI ────────────── v1.2.0  Installed InverseFunctions ────── v0.1.2  Installed StatsBase ───────────── v0.33.14  Installed OptimalTransport ────── v0.3.18  Installed MathOptInterface ────── v0.10.7  Installed Distributions ───────── v0.25.41  Installed ExactOptimalTransport ─ v0.2.1  Installed GLPK ────────────────── v0.15.2  Building GLPK → `~/.julia/scratchspaces/44cfe95a-1eb2-52ea-b672-e2afdf69b78f/ab6d06aa06ce3de20a82de5f7373b40796260f72/build.log` [┌ Progress Warning: Could not use exact versions of packages in manifest, re-resolvingm └ @ Pkg.Operations /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Operations.jl:1900 ┌ Info: Operation failed. Updating registries and trying again... │  exception = │  Unsatisfiable requirements detected for package BinaryProvider [b99e7846]: │  BinaryProvider [b99e7846] log: │  ├─possible versions are: 0.4.0 - 0.5.10 or uninstalled │  ├─restricted to versions 0.5 by an explicit requirement, leaving only versions: 0.5.0 - 0.5.10 └  └─restricted by julia compatibility requirements to versions: uninstalled — no versions left Instantiating... === Resolving... === ┌ Info: Operation failed. Updating registries and trying again... │  exception = │  Unsatisfiable requirements detected for package FillArrays [1a297f60]: │  FillArrays [1a297f60] log: │  ├─possible versions are: 0.2.0 - 1.13.0 or uninstalled │  ├─restricted to versions 0.12.7 by an explicit requirement, leaving only versions: 0.12.7 └  └─restricted by julia compatibility requirements to versions: 0.13.0 - 1.13.0 or uninstalled — no versions left Resolving... === ┌ Warning: Operation failed. Removing Manifest and trying again... │  exception = │  Unsatisfiable requirements detected for package FillArrays [1a297f60]: │  FillArrays [1a297f60] log: │  ├─possible versions are: 0.2.0 - 1.13.0 or uninstalled │  ├─restricted to versions 0.12.7 by an explicit requirement, leaving only versions: 0.12.7 │  └─restricted by julia compatibility requirements to versions: 0.13.0 - 1.13.0 or uninstalled — no versions left └ @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:494 Resolving... === ┌ Warning: Operation failed. Removing Project compat entries and Manifest and trying again... │  exception = │  Unsatisfiable requirements detected for package BinaryProvider [b99e7846]: │  BinaryProvider [b99e7846] log: │  ├─possible versions are: 0.4.0 - 0.5.10 or uninstalled │  ├─restricted by compatibility requirements with GLPK [60bf3e95] to versions: 0.5.0 - 0.5.10 │  │ └─GLPK [60bf3e95] log: │  │ ├─possible versions are: 0.6.1 - 1.2.1 or uninstalled │  │ └─restricted to versions 0.15.2 - 0.15 by an explicit requirement, leaving only versions: 0.15.2 - 0.15.3 │  └─restricted by julia compatibility requirements to versions: uninstalled — no versions left │  Stacktrace: │  [1] propagate_constraints!(graph::Pkg.Resolve.Graph, sources::Set{Int64}; log_events::Bool) │   @ Pkg.Resolve /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Resolve/graphtype.jl:1072 │  [2] propagate_constraints! (repeats 2 times) │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Resolve/graphtype.jl:1008 [inlined] │  [3] simplify_graph!(graph::Pkg.Resolve.Graph, sources::Set{Int64}; clean_graph::Bool) │   @ Pkg.Resolve /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Resolve/graphtype.jl:1533 │  [4] simplify_graph! (repeats 2 times) │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Resolve/graphtype.jl:1532 [inlined] │  [5] resolve_versions!(env::Pkg.Types.EnvCache, registries::Vector{Pkg.Registry.RegistryInstance}, pkgs::Vector{Pkg.Types.PackageSpec}, julia_version::VersionNumber, installed_only::Bool) │   @ Pkg.Operations /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Operations.jl:423 │  [6] up(ctx::Pkg.Types.Context, pkgs::Vector{Pkg.Types.PackageSpec}, level::Pkg.Types.UpgradeLevel; skip_writing_project::Bool, preserve::Nothing) │   @ Pkg.Operations /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Operations.jl:1613 │  [7] up(ctx::Pkg.Types.Context, pkgs::Vector{Pkg.Types.PackageSpec}; level::Pkg.Types.UpgradeLevel, mode::Pkg.Types.PackageMode, preserve::Nothing, update_registry::Bool, skip_writing_project::Bool, kwargs::@Kwargs{}) │   @ Pkg.API /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:382 │  [8] up │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:356 [inlined] │  [9] up │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:164 [inlined] │  [10] #resolve#143 │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:388 [inlined] │  [11] resolve │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:387 [inlined] │  [12] (::Pluto.var"#173#174"{Pluto.Notebook, Pluto.IOListener})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:476 │  [13] #202 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:718 [inlined] │  [14] withinteractive(f::Pluto.var"#202#204"{Pluto.var"#173#174"{Pluto.Notebook, Pluto.IOListener}}, value::Bool) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:737 │  [15] #201 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:717 [inlined] │  [16] withio(f::Pluto.var"#201#203"{Pluto.var"#173#174"{Pluto.Notebook, Pluto.IOListener}}, ctx::Pkg.Types.Context, io::IOContext{Base.BufferStream}) │   @ Pluto.PkgCompat ~/.julia/packages/Pluto/6smog/src/packages/PkgCompat.jl:158 │  [17] with_io_setup(f::Pluto.var"#173#174"{Pluto.Notebook, Pluto.IOListener}, notebook::Pluto.Notebook, iolistener::Pluto.IOListener) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:716 │  [18] _resolve │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:473 [inlined] │  [19] #133 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:190 [inlined] │  [20] with_auto_fixes(f::Pluto.var"#133#151"{Pluto.Notebook, Pluto.IOListener}, notebook::Pluto.Notebook) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:499 │  [21] #132 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:189 [inlined] │  [22] report_business!(f::Pluto.var"#132#150"{Pluto.Notebook, Pluto.IOListener}, parent::Pluto.Status.Business, name::Symbol) │   @ Pluto.Status ~/.julia/packages/Pluto/6smog/src/webserver/Status.jl:84 │  [23] (::Pluto.var"#129#147"{Pluto.Configuration.CompilerOptions, Pluto.Notebook, Nothing, Pluto.IOListener, Vector{String}, Vector{String}, Bool, Bool, Pluto.Status.Business})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:188 │  [24] with_logstate(f::Pluto.var"#129#147"{Pluto.Configuration.CompilerOptions, Pluto.Notebook, Nothing, Pluto.IOListener, Vector{String}, Vector{String}, Bool, Bool, Pluto.Status.Business}, logstate::Base.CoreLogging.LogState) │   @ Base.CoreLogging ./logging/logging.jl:522 │  [25] with_logger(f::Function, logger::LoggingExtras.TeeLogger{Tuple{GitHubActions.GitHubActionsLogger, Base.CoreLogging.ConsoleLogger}}) │   @ Base.CoreLogging ./logging/logging.jl:632 │  [26] withlogcapture(f::Function, iolistener::Pluto.IOListener) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:723 │  [27] #128 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:143 [inlined] │  [28] withtoken(f::Pluto.var"#128#146"{Pluto.Configuration.CompilerOptions, Pluto.Notebook, Nothing, Pluto.IOListener, Vector{String}, Vector{String}, Bool, Bool, Pluto.Status.Business}, token::Pluto.Token) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/evaluation/Tokens.jl:19 │  [29] sync_nbpkg_core(notebook::Pluto.Notebook, old_topology::PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}, new_topology::PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}; on_terminal_output::Pluto.var"#iocallback#168"{Pluto.ServerSession, Pluto.Notebook}, cleanup_iolistener::Base.RefValue{Function}, lag::Float64, compiler_options::Pluto.Configuration.CompilerOptions) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:142 │  [30] (::Pluto.var"#165#167"{Pluto.ServerSession, Pluto.Notebook, PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}, PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}, Base.RefValue{Function}})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:344 │  [31] sync_nbpkg(session::Pluto.ServerSession, notebook::Pluto.Notebook, old_topology::PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}, new_topology::PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}; save::Bool, take_token::Bool) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:330 │  [32] (::Pluto.var"#236#242"{Bool, @Kwargs{}, Pluto.ServerSession, Pluto.Notebook})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/evaluation/Run.jl:473 │  [33] withtoken(f::Pluto.var"#236#242"{Bool, @Kwargs{}, Pluto.ServerSession, Pluto.Notebook}, token::Pluto.Token) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/evaluation/Tokens.jl:19 │  [34] #235 │   @ ~/.julia/packages/Pluto/6smog/src/evaluation/Run.jl:457 [inlined] │  [35] (::Pluto.var"#227#228"{Pluto.var"#235#241"{Bool, @Kwargs{}, Pluto.ServerSession, Pluto.Notebook}})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/evaluation/Tokens.jl:58 └ @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:501 Resolving... ===  Installed JuMP ─ v1.23.2 Installed GLPK ─ v1.2.1  Updating `/tmp/jl_rMZRxT/Project.toml`  [b4f34e82] + Distances v0.10.11 [60bf3e95] + GLPK v1.2.1 [4076af6c] + JuMP v1.23.2 [7e02d93a] + OptimalTransport v0.3.19  Updating `/tmp/jl_rMZRxT/Manifest.toml` [66dad0bd] + AliasTables v1.1.3 [6e4b80f9] + BenchmarkTools v1.5.0 [523fee87] + CodecBzip2 v0.8.4 [944b1d66] + CodecZlib v0.7.6 [bbf7d656] + CommonSubexpressions v0.3.1 [34da2185] + Compat v4.16.0 [9a962f9c] + DataAPI v1.16.0 [864edb3b] + DataStructures v0.18.20 [163ba53b] + DiffResults v1.1.0 [b552c78f] + DiffRules v1.15.1 [b4f34e82] + Distances v0.10.11 [31c24e10] + Distributions v0.25.112 [ffbed154] + DocStringExtensions v0.9.3 [24df6009] + ExactOptimalTransport v0.2.5 [1a297f60] + FillArrays v1.13.0 [f6369f11] + ForwardDiff v0.10.36 [60bf3e95] + GLPK v1.2.1 [34004b35] + HypergeometricFunctions v0.3.24 [92d709cd] + IrrationalConstants v0.2.2 [42fd0dbc] + IterativeSolvers v0.9.4 [692b3bcd] + JLLWrappers v1.6.1 [682c06a0] + JSON v0.21.4 [4076af6c] + JuMP v1.23.2 [2ab3a3ac] + LogExpFunctions v0.3.28 [1914dd2f] + MacroTools v0.5.13 [b8f27783] + MathOptInterface v1.31.2 [e1d29d7a] + Missings v1.2.0 [d8a4904e] + MutableArithmetics v1.5.1 ⌅ [872c559c] + NNlib v0.7.6 [77ba4419] + NaNMath v1.0.2 [7e02d93a] + OptimalTransport v0.3.19 [bac558e1] + OrderedCollections v1.6.3 [90014a1f] + PDMats v0.11.31 [69de0a69] + Parsers v2.8.1 [aea7be01] + PrecompileTools v1.2.1 [21216c6a] + Preferences v1.4.3 [43287f4e] + PtrArrays v1.2.1 [1fd47b50] + QuadGK v2.11.1 [3cdcf5f2] + RecipesBase v1.3.4 [189a3867] + Reexport v1.2.2 [ae029012] + Requires v1.3.0 [79098fc4] + Rmath v0.8.0 [a2af1166] + SortingAlgorithms v1.2.1 [276daf66] + SpecialFunctions v2.4.0 [1e83bf80] + StaticArraysCore v1.4.3 [10745b16] + Statistics v1.11.1 [82ae8749] + StatsAPI v1.7.0 [2913bbd2] + StatsBase v0.34.3 [4c63d2b9] + StatsFuns v1.3.2 [3bb67fe8] + TranscodingStreams v0.11.3 [6e34b625] + Bzip2_jll v1.0.8+1 [e8aa6df9] + GLPK_jll v5.0.1+0 [efe28fd5] + OpenSpecFun_jll v0.5.5+0 [f50d1b31] + Rmath_jll v0.5.1+0 [0dad84c5] + ArgTools v1.1.2 [56f22d72] + Artifacts v1.11.0 [2a0f44e3] + Base64 v1.11.0 [ade2ca70] + Dates v1.11.0 [f43a241f] + Downloads v1.6.0 [7b1f6079] + FileWatching v1.11.0 [b77e0a4c] + InteractiveUtils v1.11.0 [b27032c2] + LibCURL v0.6.4 [76f85450] + LibGit2 v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.11.0 [56ddb016] + Logging v1.11.0 [d6f4376e] + Markdown v1.11.0 [a63ad114] + Mmap v1.11.0 [ca575930] + NetworkOptions v1.2.0 [44cfe95a] + Pkg v1.11.0 [de0858da] + Printf v1.11.0 [9abbd945] + Profile v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v0.7.0 [9e88b42a] + Serialization v1.11.0 [2f01184e] + SparseArrays v1.11.0 [4607b0f0] + SuiteSparse [fa267f1f] + TOML v1.0.3 [a4e569a6] + Tar v1.10.0 [8dfed614] + Test v1.11.0 [cf7118a7] + UUIDs v1.11.0 [4ec0a83e] + Unicode v1.11.0 [e66e0078] + CompilerSupportLibraries_jll v1.1.1+0 [781609d7] + GMP_jll v6.3.0+0 [deac9b47] + LibCURL_jll v8.6.0+0 [e37daf67] + LibGit2_jll v1.7.2+0 [29816b5a] + LibSSH2_jll v1.11.0+1 [c8ffd9c3] + MbedTLS_jll v2.28.6+0 [14a3606d] + MozillaCACerts_jll v2023.12.12 [4536629a] + OpenBLAS_jll v0.3.27+1 [05823500] + OpenLibm_jll v0.8.1+2 [bea87d4a] + SuiteSparse_jll v7.7.0+0 [83775a58] + Zlib_jll v1.2.13+1 [8e850b90] + libblastrampoline_jll v5.11.0+0 [8e850ede] + nghttp2_jll v1.59.0+0 [3f19e933] + p7zip_jll v17.4.0+2  Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m` Instantiating... === Precompiling... ===  Activating project at `/tmp/jl_rMZRxT` Precompiling project... 1663.7 ms ✓ GLPK_jll 6086.0 ms ✓ ExactOptimalTransport 7744.0 ms ✓ OptimalTransport 13905.7 ms ✓ GLPK 36229.0 ms ✓ JuMP 5 dependencies successfully precompiled in 37 seconds. 90 already precompiled.°OptimalTransportÚf Instantiating... === ┌ Warning: The active manifest file has dependencies that were resolved with a different julia version (1.7.1). Unexpected behavior may occur. └ @ /tmp/jl_rMZRxT/Manifest.toml:0  Installed GLPK_jll ────────────── v5.0.1+0 Installed JSON ────────────────── v0.21.2  Installed StatsFuns ───────────── v0.9.14  Installed Preferences ─────────── v1.2.3  Installed DiffRules ───────────── v1.9.0  Installed MutableArithmetics ──── v0.3.2  Installed SpecialFunctions ────── v2.0.0  Installed BenchmarkTools ──────── v1.2.2  Installed Parsers ─────────────── v2.2.0  Installed NNlib ───────────────── v0.7.34  Installed PDMats ──────────────── v0.11.5  Installed StaticArrays ────────── v1.3.3  Installed JLLWrappers ─────────── v1.4.0  Installed NaNMath ─────────────── v0.3.6  Installed BinaryProvider ──────── v0.5.10  Installed CEnum ───────────────── v0.4.1  Installed ChainRulesCore ──────── v1.11.6  Installed FillArrays ──────────── v0.12.7  Installed JuMP ────────────────── v0.22.2  Installed LogExpFunctions ─────── v0.3.6  Installed Compat ──────────────── v3.41.0  Installed StatsAPI ────────────── v1.2.0  Installed InverseFunctions ────── v0.1.2  Installed StatsBase ───────────── v0.33.14  Installed OptimalTransport ────── v0.3.18  Installed MathOptInterface ────── v0.10.7  Installed Distributions ───────── v0.25.41  Installed ExactOptimalTransport ─ v0.2.1  Installed GLPK ────────────────── v0.15.2  Building GLPK → `~/.julia/scratchspaces/44cfe95a-1eb2-52ea-b672-e2afdf69b78f/ab6d06aa06ce3de20a82de5f7373b40796260f72/build.log` [┌ Progress Warning: Could not use exact versions of packages in manifest, re-resolvingm └ @ Pkg.Operations /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Operations.jl:1900 ┌ Info: Operation failed. Updating registries and trying again... │  exception = │  Unsatisfiable requirements detected for package BinaryProvider [b99e7846]: │  BinaryProvider [b99e7846] log: │  ├─possible versions are: 0.4.0 - 0.5.10 or uninstalled │  ├─restricted to versions 0.5 by an explicit requirement, leaving only versions: 0.5.0 - 0.5.10 └  └─restricted by julia compatibility requirements to versions: uninstalled — no versions left Instantiating... === Resolving... === ┌ Info: Operation failed. Updating registries and trying again... │  exception = │  Unsatisfiable requirements detected for package FillArrays [1a297f60]: │  FillArrays [1a297f60] log: │  ├─possible versions are: 0.2.0 - 1.13.0 or uninstalled │  ├─restricted to versions 0.12.7 by an explicit requirement, leaving only versions: 0.12.7 └  └─restricted by julia compatibility requirements to versions: 0.13.0 - 1.13.0 or uninstalled — no versions left Resolving... === ┌ Warning: Operation failed. Removing Manifest and trying again... │  exception = │  Unsatisfiable requirements detected for package FillArrays [1a297f60]: │  FillArrays [1a297f60] log: │  ├─possible versions are: 0.2.0 - 1.13.0 or uninstalled │  ├─restricted to versions 0.12.7 by an explicit requirement, leaving only versions: 0.12.7 │  └─restricted by julia compatibility requirements to versions: 0.13.0 - 1.13.0 or uninstalled — no versions left └ @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:494 Resolving... === ┌ Warning: Operation failed. Removing Project compat entries and Manifest and trying again... │  exception = │  Unsatisfiable requirements detected for package BinaryProvider [b99e7846]: │  BinaryProvider [b99e7846] log: │  ├─possible versions are: 0.4.0 - 0.5.10 or uninstalled │  ├─restricted by compatibility requirements with GLPK [60bf3e95] to versions: 0.5.0 - 0.5.10 │  │ └─GLPK [60bf3e95] log: │  │ ├─possible versions are: 0.6.1 - 1.2.1 or uninstalled │  │ └─restricted to versions 0.15.2 - 0.15 by an explicit requirement, leaving only versions: 0.15.2 - 0.15.3 │  └─restricted by julia compatibility requirements to versions: uninstalled — no versions left │  Stacktrace: │  [1] propagate_constraints!(graph::Pkg.Resolve.Graph, sources::Set{Int64}; log_events::Bool) │   @ Pkg.Resolve /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Resolve/graphtype.jl:1072 │  [2] propagate_constraints! (repeats 2 times) │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Resolve/graphtype.jl:1008 [inlined] │  [3] simplify_graph!(graph::Pkg.Resolve.Graph, sources::Set{Int64}; clean_graph::Bool) │   @ Pkg.Resolve /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Resolve/graphtype.jl:1533 │  [4] simplify_graph! (repeats 2 times) │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Resolve/graphtype.jl:1532 [inlined] │  [5] resolve_versions!(env::Pkg.Types.EnvCache, registries::Vector{Pkg.Registry.RegistryInstance}, pkgs::Vector{Pkg.Types.PackageSpec}, julia_version::VersionNumber, installed_only::Bool) │   @ Pkg.Operations /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Operations.jl:423 │  [6] up(ctx::Pkg.Types.Context, pkgs::Vector{Pkg.Types.PackageSpec}, level::Pkg.Types.UpgradeLevel; skip_writing_project::Bool, preserve::Nothing) │   @ Pkg.Operations /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Operations.jl:1613 │  [7] up(ctx::Pkg.Types.Context, pkgs::Vector{Pkg.Types.PackageSpec}; level::Pkg.Types.UpgradeLevel, mode::Pkg.Types.PackageMode, preserve::Nothing, update_registry::Bool, skip_writing_project::Bool, kwargs::@Kwargs{}) │   @ Pkg.API /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:382 │  [8] up │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:356 [inlined] │  [9] up │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:164 [inlined] │  [10] #resolve#143 │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:388 [inlined] │  [11] resolve │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:387 [inlined] │  [12] (::Pluto.var"#173#174"{Pluto.Notebook, Pluto.IOListener})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:476 │  [13] #202 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:718 [inlined] │  [14] withinteractive(f::Pluto.var"#202#204"{Pluto.var"#173#174"{Pluto.Notebook, Pluto.IOListener}}, value::Bool) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:737 │  [15] #201 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:717 [inlined] │  [16] withio(f::Pluto.var"#201#203"{Pluto.var"#173#174"{Pluto.Notebook, Pluto.IOListener}}, ctx::Pkg.Types.Context, io::IOContext{Base.BufferStream}) │   @ Pluto.PkgCompat ~/.julia/packages/Pluto/6smog/src/packages/PkgCompat.jl:158 │  [17] with_io_setup(f::Pluto.var"#173#174"{Pluto.Notebook, Pluto.IOListener}, notebook::Pluto.Notebook, iolistener::Pluto.IOListener) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:716 │  [18] _resolve │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:473 [inlined] │  [19] #133 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:190 [inlined] │  [20] with_auto_fixes(f::Pluto.var"#133#151"{Pluto.Notebook, Pluto.IOListener}, notebook::Pluto.Notebook) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:499 │  [21] #132 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:189 [inlined] │  [22] report_business!(f::Pluto.var"#132#150"{Pluto.Notebook, Pluto.IOListener}, parent::Pluto.Status.Business, name::Symbol) │   @ Pluto.Status ~/.julia/packages/Pluto/6smog/src/webserver/Status.jl:84 │  [23] (::Pluto.var"#129#147"{Pluto.Configuration.CompilerOptions, Pluto.Notebook, Nothing, Pluto.IOListener, Vector{String}, Vector{String}, Bool, Bool, Pluto.Status.Business})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:188 │  [24] with_logstate(f::Pluto.var"#129#147"{Pluto.Configuration.CompilerOptions, Pluto.Notebook, Nothing, Pluto.IOListener, Vector{String}, Vector{String}, Bool, Bool, Pluto.Status.Business}, logstate::Base.CoreLogging.LogState) │   @ Base.CoreLogging ./logging/logging.jl:522 │  [25] with_logger(f::Function, logger::LoggingExtras.TeeLogger{Tuple{GitHubActions.GitHubActionsLogger, Base.CoreLogging.ConsoleLogger}}) │   @ Base.CoreLogging ./logging/logging.jl:632 │  [26] withlogcapture(f::Function, iolistener::Pluto.IOListener) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:723 │  [27] #128 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:143 [inlined] │  [28] withtoken(f::Pluto.var"#128#146"{Pluto.Configuration.CompilerOptions, Pluto.Notebook, Nothing, Pluto.IOListener, Vector{String}, Vector{String}, Bool, Bool, Pluto.Status.Business}, token::Pluto.Token) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/evaluation/Tokens.jl:19 │  [29] sync_nbpkg_core(notebook::Pluto.Notebook, old_topology::PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}, new_topology::PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}; on_terminal_output::Pluto.var"#iocallback#168"{Pluto.ServerSession, Pluto.Notebook}, cleanup_iolistener::Base.RefValue{Function}, lag::Float64, compiler_options::Pluto.Configuration.CompilerOptions) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:142 │  [30] (::Pluto.var"#165#167"{Pluto.ServerSession, Pluto.Notebook, PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}, PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}, Base.RefValue{Function}})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:344 │  [31] sync_nbpkg(session::Pluto.ServerSession, notebook::Pluto.Notebook, old_topology::PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}, new_topology::PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}; save::Bool, take_token::Bool) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:330 │  [32] (::Pluto.var"#236#242"{Bool, @Kwargs{}, Pluto.ServerSession, Pluto.Notebook})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/evaluation/Run.jl:473 │  [33] withtoken(f::Pluto.var"#236#242"{Bool, @Kwargs{}, Pluto.ServerSession, Pluto.Notebook}, token::Pluto.Token) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/evaluation/Tokens.jl:19 │  [34] #235 │   @ ~/.julia/packages/Pluto/6smog/src/evaluation/Run.jl:457 [inlined] │  [35] (::Pluto.var"#227#228"{Pluto.var"#235#241"{Bool, @Kwargs{}, Pluto.ServerSession, Pluto.Notebook}})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/evaluation/Tokens.jl:58 └ @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:501 Resolving... ===  Installed JuMP ─ v1.23.2 Installed GLPK ─ v1.2.1  Updating `/tmp/jl_rMZRxT/Project.toml`  [b4f34e82] + Distances v0.10.11 [60bf3e95] + GLPK v1.2.1 [4076af6c] + JuMP v1.23.2 [7e02d93a] + OptimalTransport v0.3.19  Updating `/tmp/jl_rMZRxT/Manifest.toml` [66dad0bd] + AliasTables v1.1.3 [6e4b80f9] + BenchmarkTools v1.5.0 [523fee87] + CodecBzip2 v0.8.4 [944b1d66] + CodecZlib v0.7.6 [bbf7d656] + CommonSubexpressions v0.3.1 [34da2185] + Compat v4.16.0 [9a962f9c] + DataAPI v1.16.0 [864edb3b] + DataStructures v0.18.20 [163ba53b] + DiffResults v1.1.0 [b552c78f] + DiffRules v1.15.1 [b4f34e82] + Distances v0.10.11 [31c24e10] + Distributions v0.25.112 [ffbed154] + DocStringExtensions v0.9.3 [24df6009] + ExactOptimalTransport v0.2.5 [1a297f60] + FillArrays v1.13.0 [f6369f11] + ForwardDiff v0.10.36 [60bf3e95] + GLPK v1.2.1 [34004b35] + HypergeometricFunctions v0.3.24 [92d709cd] + IrrationalConstants v0.2.2 [42fd0dbc] + IterativeSolvers v0.9.4 [692b3bcd] + JLLWrappers v1.6.1 [682c06a0] + JSON v0.21.4 [4076af6c] + JuMP v1.23.2 [2ab3a3ac] + LogExpFunctions v0.3.28 [1914dd2f] + MacroTools v0.5.13 [b8f27783] + MathOptInterface v1.31.2 [e1d29d7a] + Missings v1.2.0 [d8a4904e] + MutableArithmetics v1.5.1 ⌅ [872c559c] + NNlib v0.7.6 [77ba4419] + NaNMath v1.0.2 [7e02d93a] + OptimalTransport v0.3.19 [bac558e1] + OrderedCollections v1.6.3 [90014a1f] + PDMats v0.11.31 [69de0a69] + Parsers v2.8.1 [aea7be01] + PrecompileTools v1.2.1 [21216c6a] + Preferences v1.4.3 [43287f4e] + PtrArrays v1.2.1 [1fd47b50] + QuadGK v2.11.1 [3cdcf5f2] + RecipesBase v1.3.4 [189a3867] + Reexport v1.2.2 [ae029012] + Requires v1.3.0 [79098fc4] + Rmath v0.8.0 [a2af1166] + SortingAlgorithms v1.2.1 [276daf66] + SpecialFunctions v2.4.0 [1e83bf80] + StaticArraysCore v1.4.3 [10745b16] + Statistics v1.11.1 [82ae8749] + StatsAPI v1.7.0 [2913bbd2] + StatsBase v0.34.3 [4c63d2b9] + StatsFuns v1.3.2 [3bb67fe8] + TranscodingStreams v0.11.3 [6e34b625] + Bzip2_jll v1.0.8+1 [e8aa6df9] + GLPK_jll v5.0.1+0 [efe28fd5] + OpenSpecFun_jll v0.5.5+0 [f50d1b31] + Rmath_jll v0.5.1+0 [0dad84c5] + ArgTools v1.1.2 [56f22d72] + Artifacts v1.11.0 [2a0f44e3] + Base64 v1.11.0 [ade2ca70] + Dates v1.11.0 [f43a241f] + Downloads v1.6.0 [7b1f6079] + FileWatching v1.11.0 [b77e0a4c] + InteractiveUtils v1.11.0 [b27032c2] + LibCURL v0.6.4 [76f85450] + LibGit2 v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.11.0 [56ddb016] + Logging v1.11.0 [d6f4376e] + Markdown v1.11.0 [a63ad114] + Mmap v1.11.0 [ca575930] + NetworkOptions v1.2.0 [44cfe95a] + Pkg v1.11.0 [de0858da] + Printf v1.11.0 [9abbd945] + Profile v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v0.7.0 [9e88b42a] + Serialization v1.11.0 [2f01184e] + SparseArrays v1.11.0 [4607b0f0] + SuiteSparse [fa267f1f] + TOML v1.0.3 [a4e569a6] + Tar v1.10.0 [8dfed614] + Test v1.11.0 [cf7118a7] + UUIDs v1.11.0 [4ec0a83e] + Unicode v1.11.0 [e66e0078] + CompilerSupportLibraries_jll v1.1.1+0 [781609d7] + GMP_jll v6.3.0+0 [deac9b47] + LibCURL_jll v8.6.0+0 [e37daf67] + LibGit2_jll v1.7.2+0 [29816b5a] + LibSSH2_jll v1.11.0+1 [c8ffd9c3] + MbedTLS_jll v2.28.6+0 [14a3606d] + MozillaCACerts_jll v2023.12.12 [4536629a] + OpenBLAS_jll v0.3.27+1 [05823500] + OpenLibm_jll v0.8.1+2 [bea87d4a] + SuiteSparse_jll v7.7.0+0 [83775a58] + Zlib_jll v1.2.13+1 [8e850b90] + libblastrampoline_jll v5.11.0+0 [8e850ede] + nghttp2_jll v1.59.0+0 [3f19e933] + p7zip_jll v17.4.0+2  Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m` Instantiating... === Precompiling... ===  Activating project at `/tmp/jl_rMZRxT` Precompiling project... 1663.7 ms ✓ GLPK_jll 6086.0 ms ✓ ExactOptimalTransport 7744.0 ms ✓ OptimalTransport 13905.7 ms ✓ GLPK 36229.0 ms ✓ JuMP 5 dependencies successfully precompiled in 37 seconds. 90 already precompiled.€JuMPÚf Instantiating... === ┌ Warning: The active manifest file has dependencies that were resolved with a different julia version (1.7.1). Unexpected behavior may occur. └ @ /tmp/jl_rMZRxT/Manifest.toml:0  Installed GLPK_jll ────────────── v5.0.1+0 Installed JSON ────────────────── v0.21.2  Installed StatsFuns ───────────── v0.9.14  Installed Preferences ─────────── v1.2.3  Installed DiffRules ───────────── v1.9.0  Installed MutableArithmetics ──── v0.3.2  Installed SpecialFunctions ────── v2.0.0  Installed BenchmarkTools ──────── v1.2.2  Installed Parsers ─────────────── v2.2.0  Installed NNlib ───────────────── v0.7.34  Installed PDMats ──────────────── v0.11.5  Installed StaticArrays ────────── v1.3.3  Installed JLLWrappers ─────────── v1.4.0  Installed NaNMath ─────────────── v0.3.6  Installed BinaryProvider ──────── v0.5.10  Installed CEnum ───────────────── v0.4.1  Installed ChainRulesCore ──────── v1.11.6  Installed FillArrays ──────────── v0.12.7  Installed JuMP ────────────────── v0.22.2  Installed LogExpFunctions ─────── v0.3.6  Installed Compat ──────────────── v3.41.0  Installed StatsAPI ────────────── v1.2.0  Installed InverseFunctions ────── v0.1.2  Installed StatsBase ───────────── v0.33.14  Installed OptimalTransport ────── v0.3.18  Installed MathOptInterface ────── v0.10.7  Installed Distributions ───────── v0.25.41  Installed ExactOptimalTransport ─ v0.2.1  Installed GLPK ────────────────── v0.15.2  Building GLPK → `~/.julia/scratchspaces/44cfe95a-1eb2-52ea-b672-e2afdf69b78f/ab6d06aa06ce3de20a82de5f7373b40796260f72/build.log` [┌ Progress Warning: Could not use exact versions of packages in manifest, re-resolvingm └ @ Pkg.Operations /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Operations.jl:1900 ┌ Info: Operation failed. Updating registries and trying again... │  exception = │  Unsatisfiable requirements detected for package BinaryProvider [b99e7846]: │  BinaryProvider [b99e7846] log: │  ├─possible versions are: 0.4.0 - 0.5.10 or uninstalled │  ├─restricted to versions 0.5 by an explicit requirement, leaving only versions: 0.5.0 - 0.5.10 └  └─restricted by julia compatibility requirements to versions: uninstalled — no versions left Instantiating... === Resolving... === ┌ Info: Operation failed. Updating registries and trying again... │  exception = │  Unsatisfiable requirements detected for package FillArrays [1a297f60]: │  FillArrays [1a297f60] log: │  ├─possible versions are: 0.2.0 - 1.13.0 or uninstalled │  ├─restricted to versions 0.12.7 by an explicit requirement, leaving only versions: 0.12.7 └  └─restricted by julia compatibility requirements to versions: 0.13.0 - 1.13.0 or uninstalled — no versions left Resolving... === ┌ Warning: Operation failed. Removing Manifest and trying again... │  exception = │  Unsatisfiable requirements detected for package FillArrays [1a297f60]: │  FillArrays [1a297f60] log: │  ├─possible versions are: 0.2.0 - 1.13.0 or uninstalled │  ├─restricted to versions 0.12.7 by an explicit requirement, leaving only versions: 0.12.7 │  └─restricted by julia compatibility requirements to versions: 0.13.0 - 1.13.0 or uninstalled — no versions left └ @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:494 Resolving... === ┌ Warning: Operation failed. Removing Project compat entries and Manifest and trying again... │  exception = │  Unsatisfiable requirements detected for package BinaryProvider [b99e7846]: │  BinaryProvider [b99e7846] log: │  ├─possible versions are: 0.4.0 - 0.5.10 or uninstalled │  ├─restricted by compatibility requirements with GLPK [60bf3e95] to versions: 0.5.0 - 0.5.10 │  │ └─GLPK [60bf3e95] log: │  │ ├─possible versions are: 0.6.1 - 1.2.1 or uninstalled │  │ └─restricted to versions 0.15.2 - 0.15 by an explicit requirement, leaving only versions: 0.15.2 - 0.15.3 │  └─restricted by julia compatibility requirements to versions: uninstalled — no versions left │  Stacktrace: │  [1] propagate_constraints!(graph::Pkg.Resolve.Graph, sources::Set{Int64}; log_events::Bool) │   @ Pkg.Resolve /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Resolve/graphtype.jl:1072 │  [2] propagate_constraints! (repeats 2 times) │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Resolve/graphtype.jl:1008 [inlined] │  [3] simplify_graph!(graph::Pkg.Resolve.Graph, sources::Set{Int64}; clean_graph::Bool) │   @ Pkg.Resolve /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Resolve/graphtype.jl:1533 │  [4] simplify_graph! (repeats 2 times) │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Resolve/graphtype.jl:1532 [inlined] │  [5] resolve_versions!(env::Pkg.Types.EnvCache, registries::Vector{Pkg.Registry.RegistryInstance}, pkgs::Vector{Pkg.Types.PackageSpec}, julia_version::VersionNumber, installed_only::Bool) │   @ Pkg.Operations /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Operations.jl:423 │  [6] up(ctx::Pkg.Types.Context, pkgs::Vector{Pkg.Types.PackageSpec}, level::Pkg.Types.UpgradeLevel; skip_writing_project::Bool, preserve::Nothing) │   @ Pkg.Operations /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/Operations.jl:1613 │  [7] up(ctx::Pkg.Types.Context, pkgs::Vector{Pkg.Types.PackageSpec}; level::Pkg.Types.UpgradeLevel, mode::Pkg.Types.PackageMode, preserve::Nothing, update_registry::Bool, skip_writing_project::Bool, kwargs::@Kwargs{}) │   @ Pkg.API /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:382 │  [8] up │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:356 [inlined] │  [9] up │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:164 [inlined] │  [10] #resolve#143 │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:388 [inlined] │  [11] resolve │   @ /opt/hostedtoolcache/julia/1.11.0/x64/share/julia/stdlib/v1.11/Pkg/src/API.jl:387 [inlined] │  [12] (::Pluto.var"#173#174"{Pluto.Notebook, Pluto.IOListener})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:476 │  [13] #202 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:718 [inlined] │  [14] withinteractive(f::Pluto.var"#202#204"{Pluto.var"#173#174"{Pluto.Notebook, Pluto.IOListener}}, value::Bool) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:737 │  [15] #201 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:717 [inlined] │  [16] withio(f::Pluto.var"#201#203"{Pluto.var"#173#174"{Pluto.Notebook, Pluto.IOListener}}, ctx::Pkg.Types.Context, io::IOContext{Base.BufferStream}) │   @ Pluto.PkgCompat ~/.julia/packages/Pluto/6smog/src/packages/PkgCompat.jl:158 │  [17] with_io_setup(f::Pluto.var"#173#174"{Pluto.Notebook, Pluto.IOListener}, notebook::Pluto.Notebook, iolistener::Pluto.IOListener) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:716 │  [18] _resolve │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:473 [inlined] │  [19] #133 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:190 [inlined] │  [20] with_auto_fixes(f::Pluto.var"#133#151"{Pluto.Notebook, Pluto.IOListener}, notebook::Pluto.Notebook) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:499 │  [21] #132 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:189 [inlined] │  [22] report_business!(f::Pluto.var"#132#150"{Pluto.Notebook, Pluto.IOListener}, parent::Pluto.Status.Business, name::Symbol) │   @ Pluto.Status ~/.julia/packages/Pluto/6smog/src/webserver/Status.jl:84 │  [23] (::Pluto.var"#129#147"{Pluto.Configuration.CompilerOptions, Pluto.Notebook, Nothing, Pluto.IOListener, Vector{String}, Vector{String}, Bool, Bool, Pluto.Status.Business})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:188 │  [24] with_logstate(f::Pluto.var"#129#147"{Pluto.Configuration.CompilerOptions, Pluto.Notebook, Nothing, Pluto.IOListener, Vector{String}, Vector{String}, Bool, Bool, Pluto.Status.Business}, logstate::Base.CoreLogging.LogState) │   @ Base.CoreLogging ./logging/logging.jl:522 │  [25] with_logger(f::Function, logger::LoggingExtras.TeeLogger{Tuple{GitHubActions.GitHubActionsLogger, Base.CoreLogging.ConsoleLogger}}) │   @ Base.CoreLogging ./logging/logging.jl:632 │  [26] withlogcapture(f::Function, iolistener::Pluto.IOListener) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:723 │  [27] #128 │   @ ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:143 [inlined] │  [28] withtoken(f::Pluto.var"#128#146"{Pluto.Configuration.CompilerOptions, Pluto.Notebook, Nothing, Pluto.IOListener, Vector{String}, Vector{String}, Bool, Bool, Pluto.Status.Business}, token::Pluto.Token) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/evaluation/Tokens.jl:19 │  [29] sync_nbpkg_core(notebook::Pluto.Notebook, old_topology::PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}, new_topology::PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}; on_terminal_output::Pluto.var"#iocallback#168"{Pluto.ServerSession, Pluto.Notebook}, cleanup_iolistener::Base.RefValue{Function}, lag::Float64, compiler_options::Pluto.Configuration.CompilerOptions) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:142 │  [30] (::Pluto.var"#165#167"{Pluto.ServerSession, Pluto.Notebook, PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}, PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}, Base.RefValue{Function}})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:344 │  [31] sync_nbpkg(session::Pluto.ServerSession, notebook::Pluto.Notebook, old_topology::PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}, new_topology::PlutoDependencyExplorer.NotebookTopology{Pluto.Cell}; save::Bool, take_token::Bool) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:330 │  [32] (::Pluto.var"#236#242"{Bool, @Kwargs{}, Pluto.ServerSession, Pluto.Notebook})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/evaluation/Run.jl:473 │  [33] withtoken(f::Pluto.var"#236#242"{Bool, @Kwargs{}, Pluto.ServerSession, Pluto.Notebook}, token::Pluto.Token) │   @ Pluto ~/.julia/packages/Pluto/6smog/src/evaluation/Tokens.jl:19 │  [34] #235 │   @ ~/.julia/packages/Pluto/6smog/src/evaluation/Run.jl:457 [inlined] │  [35] (::Pluto.var"#227#228"{Pluto.var"#235#241"{Bool, @Kwargs{}, Pluto.ServerSession, Pluto.Notebook}})() │   @ Pluto ~/.julia/packages/Pluto/6smog/src/evaluation/Tokens.jl:58 └ @ Pluto ~/.julia/packages/Pluto/6smog/src/packages/Packages.jl:501 Resolving... ===  Installed JuMP ─ v1.23.2 Installed GLPK ─ v1.2.1  Updating `/tmp/jl_rMZRxT/Project.toml`  [b4f34e82] + Distances v0.10.11 [60bf3e95] + GLPK v1.2.1 [4076af6c] + JuMP v1.23.2 [7e02d93a] + OptimalTransport v0.3.19  Updating `/tmp/jl_rMZRxT/Manifest.toml` [66dad0bd] + AliasTables v1.1.3 [6e4b80f9] + BenchmarkTools v1.5.0 [523fee87] + CodecBzip2 v0.8.4 [944b1d66] + CodecZlib v0.7.6 [bbf7d656] + CommonSubexpressions v0.3.1 [34da2185] + Compat v4.16.0 [9a962f9c] + DataAPI v1.16.0 [864edb3b] + DataStructures v0.18.20 [163ba53b] + DiffResults v1.1.0 [b552c78f] + DiffRules v1.15.1 [b4f34e82] + Distances v0.10.11 [31c24e10] + Distributions v0.25.112 [ffbed154] + DocStringExtensions v0.9.3 [24df6009] + ExactOptimalTransport v0.2.5 [1a297f60] + FillArrays v1.13.0 [f6369f11] + ForwardDiff v0.10.36 [60bf3e95] + GLPK v1.2.1 [34004b35] + HypergeometricFunctions v0.3.24 [92d709cd] + IrrationalConstants v0.2.2 [42fd0dbc] + IterativeSolvers v0.9.4 [692b3bcd] + JLLWrappers v1.6.1 [682c06a0] + JSON v0.21.4 [4076af6c] + JuMP v1.23.2 [2ab3a3ac] + LogExpFunctions v0.3.28 [1914dd2f] + MacroTools v0.5.13 [b8f27783] + MathOptInterface v1.31.2 [e1d29d7a] + Missings v1.2.0 [d8a4904e] + MutableArithmetics v1.5.1 ⌅ [872c559c] + NNlib v0.7.6 [77ba4419] + NaNMath v1.0.2 [7e02d93a] + OptimalTransport v0.3.19 [bac558e1] + OrderedCollections v1.6.3 [90014a1f] + PDMats v0.11.31 [69de0a69] + Parsers v2.8.1 [aea7be01] + PrecompileTools v1.2.1 [21216c6a] + Preferences v1.4.3 [43287f4e] + PtrArrays v1.2.1 [1fd47b50] + QuadGK v2.11.1 [3cdcf5f2] + RecipesBase v1.3.4 [189a3867] + Reexport v1.2.2 [ae029012] + Requires v1.3.0 [79098fc4] + Rmath v0.8.0 [a2af1166] + SortingAlgorithms v1.2.1 [276daf66] + SpecialFunctions v2.4.0 [1e83bf80] + StaticArraysCore v1.4.3 [10745b16] + Statistics v1.11.1 [82ae8749] + StatsAPI v1.7.0 [2913bbd2] + StatsBase v0.34.3 [4c63d2b9] + StatsFuns v1.3.2 [3bb67fe8] + TranscodingStreams v0.11.3 [6e34b625] + Bzip2_jll v1.0.8+1 [e8aa6df9] + GLPK_jll v5.0.1+0 [efe28fd5] + OpenSpecFun_jll v0.5.5+0 [f50d1b31] + Rmath_jll v0.5.1+0 [0dad84c5] + ArgTools v1.1.2 [56f22d72] + Artifacts v1.11.0 [2a0f44e3] + Base64 v1.11.0 [ade2ca70] + Dates v1.11.0 [f43a241f] + Downloads v1.6.0 [7b1f6079] + FileWatching v1.11.0 [b77e0a4c] + InteractiveUtils v1.11.0 [b27032c2] + LibCURL v0.6.4 [76f85450] + LibGit2 v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.11.0 [56ddb016] + Logging v1.11.0 [d6f4376e] + Markdown v1.11.0 [a63ad114] + Mmap v1.11.0 [ca575930] + NetworkOptions v1.2.0 [44cfe95a] + Pkg v1.11.0 [de0858da] + Printf v1.11.0 [9abbd945] + Profile v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v0.7.0 [9e88b42a] + Serialization v1.11.0 [2f01184e] + SparseArrays v1.11.0 [4607b0f0] + SuiteSparse [fa267f1f] + TOML v1.0.3 [a4e569a6] + Tar v1.10.0 [8dfed614] + Test v1.11.0 [cf7118a7] + UUIDs v1.11.0 [4ec0a83e] + Unicode v1.11.0 [e66e0078] + CompilerSupportLibraries_jll v1.1.1+0 [781609d7] + GMP_jll v6.3.0+0 [deac9b47] + LibCURL_jll v8.6.0+0 [e37daf67] + LibGit2_jll v1.7.2+0 [29816b5a] + LibSSH2_jll v1.11.0+1 [c8ffd9c3] + MbedTLS_jll v2.28.6+0 [14a3606d] + MozillaCACerts_jll v2023.12.12 [4536629a] + OpenBLAS_jll v0.3.27+1 [05823500] + OpenLibm_jll v0.8.1+2 [bea87d4a] + SuiteSparse_jll v7.7.0+0 [83775a58] + Zlib_jll v1.2.13+1 [8e850b90] + libblastrampoline_jll v5.11.0+0 [8e850ede] + nghttp2_jll v1.59.0+0 [3f19e933] + p7zip_jll v17.4.0+2  Info Packages marked with ⌅ have new versions available but compatibility constraints restrict them from upgrading. To see why use `status --outdated -m` Instantiating... === Precompiling... ===  Activating project at `/tmp/jl_rMZRxT` Precompiling project... 1663.7 ms ✓ GLPK_jll 6086.0 ms ✓ ExactOptimalTransport 7744.0 ms ✓ OptimalTransport 13905.7 ms ✓ GLPK 36229.0 ms ✓ JuMP 5 dependencies successfully precompiled in 37 seconds. 90 already precompiled.§enabledĂ·restart_recommended_msgÀŽrestart_required_msgÀ­busy_packages¶waiting_for_permissionÂÙ,waiting_for_permission_but_probably_disabled«cell_inputs‹Ù$400db2f1-6001-4058-8983-2ef665c5fdeb„§cell_idÙ$400db2f1-6001-4058-8983-2ef665c5fdeb€codeÙ`md""" ## Optimal Transport using JuMP ```math \inf_{P\in U(\mu,\nu)}\langle P,C\rangle ``` """šmetadataƒ©show_logsĂšdisabledÂźskip_as_script«code_foldedĂÙ$520db44c-a6e5-479d-a44b-6530bfdff2d7„§cell_idÙ$520db44c-a6e5-479d-a44b-6530bfdff2d7€codeČNÎŒ = 10; NÎœ = 20šmetadataƒ©show_logsĂšdisabledÂźskip_as_script«code_foldedÂÙ$051b7617-7dd6-467e-841b-3ee82c7a47a9„§cell_idÙ$051b7617-7dd6-467e-841b-3ee82c7a47a9€codeżC = pairwise(euclidean, ÎŒ, Îœ)šmetadataƒ©show_logsĂšdisabledÂźskip_as_script«code_foldedÂÙ$15263914-42db-4b1c-9a95-16913123026f„§cell_idÙ$15263914-42db-4b1c-9a95-16913123026f€codeąÎłšmetadataƒ©show_logsĂšdisabledÂźskip_as_script«code_foldedÂÙ$fc923bd0-7d17-11ec-1709-b7c3d0b2f059„§cell_idÙ$fc923bd0-7d17-11ec-1709-b7c3d0b2f059€codeÙ-using JuMP, GLPK, OptimalTransport, Distancesšmetadataƒ©show_logsĂšdisabledÂźskip_as_script«code_foldedÂÙ$52de7e53-7e88-4cd0-91fe-375c921f881f„§cell_idÙ$52de7e53-7e88-4cd0-91fe-375c921f881f€codeÙ$ÎŒ = rand(2, NÎŒ); Îœ = rand(2, NÎœ)šmetadataƒ©show_logsĂšdisabledÂźskip_as_script«code_foldedÂÙ$fce525d9-9bb6-4c7b-be9b-085df346a99e„§cell_idÙ$fce525d9-9bb6-4c7b-be9b-085df346a99e€codečtermination_status(model)šmetadataƒ©show_logsĂšdisabledÂźskip_as_script«code_foldedÂÙ$785e62ed-3fe8-4ac2-b3ac-efedea8fe499„§cell_idÙ$785e62ed-3fe8-4ac2-b3ac-efedea8fe499€codeÙ=OptimalTransport.emd2(dÎŒ, dÎœ, C, GLPK.Optimizer()) ≈ emd2šmetadataƒ©show_logsĂšdisabledÂźskip_as_script«code_foldedÂÙ$5cd73667-b2f7-4425-96f7-088e3d05b223„§cell_idÙ$5cd73667-b2f7-4425-96f7-088e3d05b223€codeÙ,dÎŒ = ones(NÎŒ) / NÎŒ; dÎœ = ones(NÎœ) / NÎœšmetadataƒ©show_logsĂšdisabledÂźskip_as_script«code_foldedÂÙ$463d49ce-7abf-4a9c-9504-d88f4c7d4e79„§cell_idÙ$463d49ce-7abf-4a9c-9504-d88f4c7d4e79€codeÚbegin model = Model(GLPK.Optimizer) # The optimal transport plan @variable( model, P[1:NÎŒ, 1:NÎœ] >= 0 ) # Minimize the tranport cost @objective(model, Min, sum( P .* C )) # Add the marginal constraints @constraints( model, begin [i in 1:NÎŒ], sum(P[i,:]) == dÎŒ[i] [j in 1:NÎœ], sum(P[:,j]) == dÎœ[j] end ) optimize!(model) if termination_status(model) != OPTIMAL error("Failed to find a solution (status = $(termination_status(model)))") end emd2 = objective_value(model) Îł = value.(P) end;šmetadataƒ©show_logsĂšdisabledÂźskip_as_script«code_foldedÂÙ$251e0c3a-6cca-4f3a-a8fc-80e9e3cb0b10„§cell_idÙ$251e0c3a-6cca-4f3a-a8fc-80e9e3cb0b10€codeÙ3OptimalTransport.emd(dÎŒ, dÎœ, C, GLPK.Optimizer())šmetadataƒ©show_logsĂšdisabledÂźskip_as_script«code_folded«notebook_idÙ$ce113f18-8a39-11ef-2817-130a55f04c04«in_temp_diršmetadata€