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@variables α ω ω0 F γ t x(t)
diff_eq = DifferentialEquation(
d(x, t, 2) + ω0^2 * x + α * x^3 + γ * d(x, t) ~ F * cos(ω * t), x
)
add_harmonic!(diff_eq, x, ω) #
harmonic_eq = get_harmonic_equations(diff_eq)
sys = ODESystem(harmonic_eq)
fixed = (α => 1.0, ω0 => 1.1, F => 0.01, γ => 0.01)
param = HarmonicBalance.OrderedDict(merge(Dict(fixed), Dict(ω => 1.1)))
ODEProblem(diff_eq, [1.0, 0.0], (0, 100), param)
solve(prob, Tsit5())
Invalid symbol α for `setsym`
Stacktrace:
[1] error(s::String)
@ Base ./erroInvalid symbol α for `setsym`
Stacktrace:
[1] error(s::String)
@ Base ./error.jl:35
[2] _setsym(sys::ODEProblem{Vector{Float64}, Tuple{Int64, Int64}, true, NTuple{5, Pair{Num, Float64}}, ODEFunction{true, SciMLBase.AutoSpecialize, HarmonicEquation, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, ::SymbolicIndexingInterface.ScalarSymbolic, ::SymbolicIndexingInterface.ScalarSymbolic, sym::Num)
@ SymbolicIndexingInterface ~/.julia/packages/SymbolicIndexingInterface/sZ3a9/src/state_indexing.jl:364
[3] setsym(sys::ODEProblem{Vector{Float64}, Tuple{Int64, Int64}, true, NTuple{5, Pair{Num, Float64}}, ODEFunction{true, SciMLBase.AutoSpecialize, HarmonicEquation, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, sym::Num)
@ SymbolicIndexingInterface ~/.julia/packages/SymbolicIndexingInterface/sZ3a9/src/state_indexing.jl:342
[4] remake_buffer(sys::ODEProblem{Vector{Float64}, Tuple{Int64, Int64}, true, NTuple{5, Pair{Num, Float64}}, ODEFunction{true, SciMLBase.AutoSpecialize, HarmonicEquation, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, oldbuffer::NTuple{5, Pair{Num, Float64}}, idxs::Base.KeySet{Any, Dict{Any, Any}}, vals::Base.ValueIterator{Dict{Any, Any}})
@ SymbolicIndexingInterface ~/.julia/packages/SymbolicIndexingInterface/sZ3a9/src/remake.jl:89
[5] _updated_u0_p_symmap(prob::ODEProblem{Vector{Float64}, Tuple{Int64, Int64}, true, NTuple{5, Pair{Num, Float64}}, ODEFunction{true, SciMLBase.AutoSpecialize, HarmonicEquation, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, u0::Vector{Float64}, ::Val{false}, p::Dict{Any, Any}, ::Val{true}, t0::Float64)
@ SciMLBase ~/.julia/packages/SciMLBase/JxpZc/src/remake.jl:1131
[6] _updated_u0_p_internal(prob::ODEProblem{Vector{Float64}, Tuple{Int64, Int64}, true, NTuple{5, Pair{Num, Float64}}, ODEFunction{true, SciMLBase.AutoSpecialize, HarmonicEquation, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, u0::Vector{Float64}, p::NTuple{5, Pair{Num, Float64}}, t0::Float64; interpret_symbolicmap::Bool, use_defaults::Bool)
@ SciMLBase ~/.julia/packages/SciMLBase/JxpZc/src/remake.jl:1026
[7] _updated_u0_p_internal
@ ~/.julia/packages/SciMLBase/JxpZc/src/remake.jl:1011 [inlined]
[8] #updated_u0_p#812
@ ~/.julia/packages/SciMLBase/JxpZc/src/remake.jl:1212 [inlined]
[9] updated_u0_p
@ ~/.julia/packages/SciMLBase/JxpZc/src/remake.jl:1191 [inlined]
[10] remake(prob::ODEProblem{Vector{Float64}, Tuple{Int64, Int64}, true, NTuple{5, Pair{Num, Float64}}, ODEFunction{true, SciMLBase.AutoSpecialize, HarmonicEquation, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}; f::ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, NTuple{5, Pair{Num, Float64}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, NTuple{5, Pair{Num, Float64}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, NTuple{5, Pair{Num, Float64}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, NTuple{5, Pair{Num, Float64}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, u0::Vector{Float64}, tspan::Tuple{Float64, Float64}, p::NTuple{5, Pair{Num, Float64}}, kwargs::Missing, interpret_symbolicmap::Bool, build_initializeprob::Type, use_defaults::Bool, lazy_initialization::Nothing, _kwargs::@Kwargs{})
@ SciMLBase ~/.julia/packages/SciMLBase/JxpZc/src/remake.jl:228
[11] get_concrete_problem(prob::ODEProblem{Vector{Float64}, Tuple{Int64, Int64}, true, NTuple{5, Pair{Num, Float64}}, ODEFunction{true, SciMLBase.AutoSpecialize, HarmonicEquation, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, isadapt::Bool; kwargs::@Kwargs{u0::Vector{Float64}, p::NTuple{5, Pair{Num, Float64}}})
@ DiffEqBase ~/.julia/packages/DiffEqBase/uuXfE/src/solve.jl:1332
[12] get_concrete_problem
@ ~/.julia/packages/DiffEqBase/uuXfE/src/solve.jl:1313 [inlined]
[13] solve_up(prob::ODEProblem{Vector{Float64}, Tuple{Int64, Int64}, true, NTuple{5, Pair{Num, Float64}}, ODEFunction{true, SciMLBase.AutoSpecialize, HarmonicEquation, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, sensealg::Nothing, u0::Vector{Float64}, p::NTuple{5, Pair{Num, Float64}}, args::Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}; originator::SciMLBase.ChainRulesOriginator, kwargs::@Kwargs{})
@ DiffEqBase ~/.julia/packages/DiffEqBase/uuXfE/src/solve.jl:1205
[14] solve_up
@ ~/.julia/packages/DiffEqBase/uuXfE/src/solve.jl:1188 [inlined]
[15] solve(prob::ODEProblem{Vector{Float64}, Tuple{Int64, Int64}, true, NTuple{5, Pair{Num, Float64}}, ODEFunction{true, SciMLBase.AutoSpecialize, HarmonicEquation, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, args::Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}; sensealg::Nothing, u0::Nothing, p::Nothing, wrap::Val{true}, kwargs::@Kwargs{})
@ DiffEqBase ~/.julia/packages/DiffEqBase/uuXfE/src/solve.jl:1083
[16] solve(prob::ODEProblem{Vector{Float64}, Tuple{Int64, Int64}, true, NTuple{5, Pair{Num, Float64}}, ODEFunction{true, SciMLBase.AutoSpecialize, HarmonicEquation, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, args::Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False})
@ DiffEqBase ~/.julia/packages/DiffEqBase/uuXfE/src/solve.jl:1073
[17] top-level scope
@ ~/Documents/SciVizHub/parametron/jl_notebook_cell_df34fa98e69747e1a8f8a730347b8e2f_W6sZmlsZQ==.jl:1r.jl:35
[2] _setsym(sys::ODEProblem{Vector{Float64}, Tuple{Int64, Int64}, true, NTuple{5, Pair{Num, Float64}}, ODEFunction{true, SciMLBase.AutoSpecialize, HarmonicEquation, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, ::SymbolicIndexingInterface.ScalarSymbolic, ::SymbolicIndexingInterface.ScalarSymbolic, sym::Num)
@ SymbolicIndexingInterface ~/.julia/packages/SymbolicIndexingInterface/sZ3a9/src/state_indexing.jl:364
[3] setsym(sys::ODEProblem{Vector{Float64}, Tuple{Int64, Int64}, true, NTuple{5, Pair{Num, Float64}}, ODEFunction{true, SciMLBase.AutoSpecialize, HarmonicEquation, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, sym::Num)
@ SymbolicIndexingInterface ~/.julia/packages/SymbolicIndexingInterface/sZ3a9/src/state_indexing.jl:342
[4] remake_buffer(sys::ODEProblem{Vector{Float64}, Tuple{Int64, Int64}, true, NTuple{5, Pair{Num, Float64}}, ODEFunction{true, SciMLBase.AutoSpecialize, HarmonicEquation, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, oldbuffer::NTuple{5, Pair{Num, Float64}}, idxs::Base.KeySet{Any, Dict{Any, Any}}, vals::Base.ValueIterator{Dict{Any, Any}})
@ SymbolicIndexingInterface ~/.julia/packages/SymbolicIndexingInterface/sZ3a9/src/remake.jl:89
[5] _updated_u0_p_symmap(prob::ODEProblem{Vector{Float64}, Tuple{Int64, Int64}, true, NTuple{5, Pair{Num, Float64}}, ODEFunction{true, SciMLBase.AutoSpecialize, HarmonicEquation, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, u0::Vector{Float64}, ::Val{false}, p::Dict{Any, Any}, ::Val{true}, t0::Float64)
@ SciMLBase ~/.julia/packages/SciMLBase/JxpZc/src/remake.jl:1131
[6] _updated_u0_p_internal(prob::ODEProblem{Vector{Float64}, Tuple{Int64, Int64}, true, NTuple{5, Pair{Num, Float64}}, ODEFunction{true, SciMLBase.AutoSpecialize, HarmonicEquation, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, u0::Vector{Float64}, p::NTuple{5, Pair{Num, Float64}}, t0::Float64; interpret_symbolicmap::Bool, use_defaults::Bool)
@ SciMLBase ~/.julia/packages/SciMLBase/JxpZc/src/remake.jl:1026
[7] _updated_u0_p_internal
@ ~/.julia/packages/SciMLBase/JxpZc/src/remake.jl:1011 [inlined]
[8] #updated_u0_p#812
@ ~/.julia/packages/SciMLBase/JxpZc/src/remake.jl:1212 [inlined]
[9] updated_u0_p
@ ~/.julia/packages/SciMLBase/JxpZc/src/remake.jl:1191 [inlined]
[10] remake(prob::ODEProblem{Vector{Float64}, Tuple{Int64, Int64}, true, NTuple{5, Pair{Num, Float64}}, ODEFunction{true, SciMLBase.AutoSpecialize, HarmonicEquation, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}; f::ODEFunction{true, SciMLBase.AutoSpecialize, FunctionWrappersWrappers.FunctionWrappersWrapper{Tuple{FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{Float64}, Vector{Float64}, NTuple{5, Pair{Num, Float64}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, NTuple{5, Pair{Num, Float64}}, Float64}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{Float64}, NTuple{5, Pair{Num, Float64}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}, FunctionWrappers.FunctionWrapper{Nothing, Tuple{Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, Vector{ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}, NTuple{5, Pair{Num, Float64}}, ForwardDiff.Dual{ForwardDiff.Tag{DiffEqBase.OrdinaryDiffEqTag, Float64}, Float64, 1}}}}, false}, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, u0::Vector{Float64}, tspan::Tuple{Float64, Float64}, p::NTuple{5, Pair{Num, Float64}}, kwargs::Missing, interpret_symbolicmap::Bool, build_initializeprob::Type, use_defaults::Bool, lazy_initialization::Nothing, _kwargs::@Kwargs{})
@ SciMLBase ~/.julia/packages/SciMLBase/JxpZc/src/remake.jl:228
[11] get_concrete_problem(prob::ODEProblem{Vector{Float64}, Tuple{Int64, Int64}, true, NTuple{5, Pair{Num, Float64}}, ODEFunction{true, SciMLBase.AutoSpecialize, HarmonicEquation, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, isadapt::Bool; kwargs::@Kwargs{u0::Vector{Float64}, p::NTuple{5, Pair{Num, Float64}}})
@ DiffEqBase ~/.julia/packages/DiffEqBase/uuXfE/src/solve.jl:1332
[12] get_concrete_problem
@ ~/.julia/packages/DiffEqBase/uuXfE/src/solve.jl:1313 [inlined]
[13] solve_up(prob::ODEProblem{Vector{Float64}, Tuple{Int64, Int64}, true, NTuple{5, Pair{Num, Float64}}, ODEFunction{true, SciMLBase.AutoSpecialize, HarmonicEquation, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, sensealg::Nothing, u0::Vector{Float64}, p::NTuple{5, Pair{Num, Float64}}, args::Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}; originator::SciMLBase.ChainRulesOriginator, kwargs::@Kwargs{})
@ DiffEqBase ~/.julia/packages/DiffEqBase/uuXfE/src/solve.jl:1205
[14] solve_up
@ ~/.julia/packages/DiffEqBase/uuXfE/src/solve.jl:1188 [inlined]
[15] solve(prob::ODEProblem{Vector{Float64}, Tuple{Int64, Int64}, true, NTuple{5, Pair{Num, Float64}}, ODEFunction{true, SciMLBase.AutoSpecialize, HarmonicEquation, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, args::Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False}; sensealg::Nothing, u0::Nothing, p::Nothing, wrap::Val{true}, kwargs::@Kwargs{})
@ DiffEqBase ~/.julia/packages/DiffEqBase/uuXfE/src/solve.jl:1083
[16] solve(prob::ODEProblem{Vector{Float64}, Tuple{Int64, Int64}, true, NTuple{5, Pair{Num, Float64}}, ODEFunction{true, SciMLBase.AutoSpecialize, HarmonicEquation, LinearAlgebra.UniformScaling{Bool}, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, Nothing, typeof(SciMLBase.DEFAULT_OBSERVED), Nothing, Nothing, Nothing, Nothing}, @Kwargs{}, SciMLBase.StandardODEProblem}, args::Tsit5{typeof(OrdinaryDiffEqCore.trivial_limiter!), typeof(OrdinaryDiffEqCore.trivial_limiter!), Static.False})
@ DiffEqBase ~/.julia/packages/DiffEqBase/uuXfE/src/solve.jl:1073
[17] top-level scope
@ ~/Documents/SciVizHub/parametron/jl_notebook_cell_df34fa98e69747e1a8f8a730347b8e2f_W6sZmlsZQ==.jl:1
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