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### A Pluto.jl notebook ###
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# v0.17.0
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using Markdown
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using InteractiveUtils
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# ╔═╡ 0829eb90-1d74-46b6-80ec-482a2b71c6fe
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using PlutoUI, Flux,LinearAlgebra
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# ╔═╡ 66f0e667-d722-4e1e-807b-84a39cbc41b1
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md"""
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# Bellman Residual Minimization
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"""
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# ╔═╡ 9fa41b7c-1923-4c1e-bfc6-20ce4a1a2ede
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md"""
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Number of Constellations: $(const N_constellations = 3)
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Number of Debris Trackers: $(const N_debris = 1)
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Number of Overall States: $(const N_states = N_constellations + N_debris)
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"""
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# ╔═╡ 90446134-4e45-471c-857d-4e165e51937a
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begin
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abstract type PhysicalParameters end
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#setup physical model
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struct BasicModel <: PhysicalParameters
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#rate at which debris hits satellites
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debris_collision_rate::Real
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#rate at which satellites of different constellations collide
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satellite_collision_rates::Matrix{Float64}
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#rate at which debris exits orbits
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decay_rate::Real
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#rate at which satellites
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autocatalysis_rate::Real
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#ratio at which a collision between satellites produced debris
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satellite_collision_debris_ratio::Real
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#Ratio at which launches produce debris
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launch_debris_ratio::Real
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end
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#Getting loss parameters together.
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loss_param = 2e-3;
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loss_weights = loss_param*(ones(N_constellations,N_constellations) - LinearAlgebra.I);
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#orbital decay rate
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decay_param = 0.01;
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#debris generation parameters
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autocatalysis_param = 0.001;
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satellite_loss_debris_rate = 5.0;
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launch_debris_rate = 0.05;
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#Todo, wrap physical model as a struct with the parameters
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bm = BasicModel(
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loss_param
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,loss_weights
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,decay_param
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,autocatalysis_param
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,satellite_loss_debris_rate
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,launch_debris_rate
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)
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end
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# ╔═╡ 5b45b29e-f0f4-41e9-91e7-d444687feb4e
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#implement survival function
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function survival(
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stocks::Array
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,debris::Array
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,physical_model::BasicModel
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)
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return exp.(
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-physical_model.satellite_collision_rates * stocks
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.- (physical_model.debris_collision_rate*debris)
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)
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end
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# ╔═╡ 152f3a3c-a565-41bb-8e59-6ab0d2315ffb
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#debris evolution
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function H(
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stocks::Array
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,debris::Array
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,launches::Array
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, physical_model::BasicModel
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)
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#get changes in debris from natural dynamics
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natural_debris_dynamics = (1-physical_model.decay_rate+physical_model.autocatalysis_rate) * debris
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#get changes in debris from satellite loss
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satellite_loss_debris = physical_model.satellite_collision_debris_ratio * (1 .- survival(stocks,debris,physical_model))'*stocks
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#get changes in debris from launches
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launch_debris = physical_model.launch_debris_ratio*sum(launches)
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#return total debris level
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return natural_debris_dynamics .+ satellite_loss_debris .+ launch_debris
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end
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# ╔═╡ 25ac9438-2b1d-4f6b-9ff1-1695e1d52b51
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#stock update rules
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function G(
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stocks::Array
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,debris::Array
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,launches::Array
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, physical_model::BasicModel
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)
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return LinearAlgebra.diagm(survival(stocks,debris,physical_model) .- physical_model.decay_rate)*stocks + launches
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end
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# ╔═╡ 29ff1777-d276-4e8f-8582-4ca191f2e2ff
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md"""
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## Setup Neural Networks
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"""
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# ╔═╡ f7aabe43-9a2c-4fe0-8099-c29cdf66566c
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function value_function_generator(number_params=10)
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return Flux.Chain(
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Flux.Parallel(vcat
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#parallel joins together stocks and debris, after a little bit of preprocessing
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,Flux.Chain(
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Flux.Dense(N_constellations, N_states*2,Flux.relu)
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,Flux.Dense(N_states*2, N_states*2,Flux.σ)
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)
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,Flux.Chain(
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Flux.Dense(N_debris, N_states,Flux.relu)
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,Flux.Dense(N_states, N_states)
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)
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)
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#Apply some transformations to the preprocessed data.
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,Flux.Dense(N_states*3,number_params,Flux.σ)
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,Flux.Dense(number_params,1,Flux.σ)
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)
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end
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# ╔═╡ d816b252-bdca-44ba-ac5c-cb21163a1e9a
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function policy_function_generator(number_params=10)
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return Flux.Chain(
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Flux.Parallel(vcat
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#parallel joins together stocks and debris
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,Flux.Chain(
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Flux.Dense(N_constellations, N_states*2,Flux.relu)
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,Flux.Dense(N_states*2, N_states*2,Flux.σ)
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)
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,Flux.Chain(
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Flux.Dense(N_debris, N_states,Flux.relu)
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,Flux.Dense(N_states, N_states)
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)
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)
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#Apply some transformations
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,Flux.Dense(N_states*3,number_params,Flux.σ)
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,Flux.Dense(number_params,N_constellations,Flux.σ)
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)
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end
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# ╔═╡ 95bfc9d8-8427-41d6-9f0f-f155296eef91
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#not needed yet
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begin
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#= CUSTOM LAYERS
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=#
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#Custom passthrough layer
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passthrough(x::Array) = x
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# custom split layer
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struct Split{T}
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paths::T
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end
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Split(paths...) = Split(paths)
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Flux.@functor Split
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(m::Split)(x::AbstractArray) = tuple(map(f -> f(x), m.paths))
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### TESTING ###
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#multiple branches
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Flux.Parallel(vcat,
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passthrough, passthrough, passthrough
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)(([1],[2,3],[4]))
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end
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# ╔═╡ 206ac4cc-5102-4381-ad8a-777b02dc4d5a
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begin
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abstract type EconomicParameters end
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struct EconModel1 <: EconomicParameters
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β::Real
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payoff_array::Array{Real}
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policy_costs::Array{Real}
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end
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end
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# ╔═╡ 1cbaa2e5-55e4-46f9-82d0-04b481470094
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function payoff1(
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s::Vector
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,d::Vector
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,a::Vector
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,em::EconModel1
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)
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return em.payoff_array*s - em.policy_costs*a
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end
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# ╔═╡ f8d582cb-10cf-4c72-8127-787f662e0567
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#=
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This struct organizes information about a given constellation operator
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=#
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struct ConstellationOperator
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payoff_fn::Function
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econ_params::EconomicParameters
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value::Flux.Chain
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end
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#TODO: create a function that takes this struct and checks backprop
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# ╔═╡ 5946daa3-4608-43f3-8933-dd3eb3f4541c
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md"""
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# Loss function specification
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"""
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# ╔═╡ b433a7ec-8264-48d6-8b95-53d2ec4bad05
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md"""
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# Testing
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"""
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# ╔═╡ fb6aacff-c42d-4ec1-88cb-5ce1b2e8874f
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policy = policy_function_generator();
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# ╔═╡ 41271ab4-1ec7-431f-9efb-0f7c3da2d8b4
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#Constellation level loss function
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function Ξ(
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s::Vector
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,d::Vector
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, physical_model::PhysicalParameters
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,co::ConstellationOperator
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)
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a = policy((s,d))
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s′ = G(s,d,a,physical_model)
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d′ = H(s,d,a,physical_model)
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bellman_residuals = co.value((s,d)) - co.payoff_fn(s,d,a,co.econ_params) - co.econ_params.β*co.value((s′,d′))
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maximization_condition = - co.payoff_fn(s,d,a,co.econ_params) - co.econ_params.β*co.value((s′,d′))
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return sum([bellman_residuals.^2 maximization_condition])
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end
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# ╔═╡ 65e0b1fa-d5e1-4ff6-8736-c9d6b5f40150
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em1 = EconModel1(0.95, [1 0 0 ], [5 0 0 ])
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# ╔═╡ f30904a7-5caa-449a-a5bd-f2aa78777a9a
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begin
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#setup the operators
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operators = [ ConstellationOperator(payoff1,em1,value_function_generator())
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,ConstellationOperator(payoff1,em1,value_function_generator())
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,ConstellationOperator(payoff1,em1,value_function_generator())
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]
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#check whether or not we've matched the setup correctly.
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@assert length(operators) == N_constellations "Mismatch in predetermined number of constellations and the number of operators initialized"
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end
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# ╔═╡ 43b99708-0052-4b78-886c-92ac2b532f29
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begin
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s1 = ones(N_constellations)
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d1 = ones(N_debris)
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Ξ(s1,d1,bm,operators[1])
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end
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# ╔═╡ dff642d9-ec5a-4fed-a059-6c07760a3a58
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#planner's loss function
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function planners_loss(s,d)
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l = 0.0
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for co in operators
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l += Ξ(s,d,bm,co)
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end
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return l
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end
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# ╔═╡ 5abebc1a-370c-4f5f-8826-dc0b143d5166
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md"""
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## Constructing data
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"""
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# ╔═╡ a20959be-65e4-4b69-9521-503bc59f0854
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begin
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N=20 #increase later
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data = [(rand(1:500, N_constellations),rand(1:500, N_debris)) for n=1:N]
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end
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# ╔═╡ 6bf8d29a-7990-4e91-86e6-d9894ed3db27
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#optimizer
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ADAM = Flux.Optimise.ADAM(0.01)
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# ╔═╡ e7ee1a0f-ab9b-439e-a7be-4a6d3b8f160d
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begin
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accum1 = 0.0
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for d in data
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accum1 += planners_loss(d...)
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end
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accum1/N
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end
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# ╔═╡ 74f5fde3-0593-46fc-a688-f1db7ab28c64
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# Social planners problem
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for epoch in 1:20
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#train the social planner's policy funciton
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Flux.Optimise.train!(planners_loss, params(policy), data, ADAM)
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#Sweep through training the value functions
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for co in operators
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Flux.Optimise.train!(planners_loss, params(co.value), data, ADAM)
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end
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end
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# ╔═╡ 02f3fe78-e7a7-453f-9ddf-acddf08d8676
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begin
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accum = 0.0
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for d in data
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accum += planners_loss(d...)
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end
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accum/N
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end
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# ╔═╡ 00000000-0000-0000-0000-000000000001
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PLUTO_PROJECT_TOML_CONTENTS = """
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[deps]
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Flux = "587475ba-b771-5e3f-ad9e-33799f191a9c"
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LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
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PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
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[compat]
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Flux = "~0.12.8"
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PlutoUI = "~0.7.18"
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"""
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# ╔═╡ 00000000-0000-0000-0000-000000000002
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PLUTO_MANIFEST_TOML_CONTENTS = """
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# This file is machine-generated - editing it directly is not advised
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[[AbstractFFTs]]
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deps = ["LinearAlgebra"]
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git-tree-sha1 = "485ee0867925449198280d4af84bdb46a2a404d0"
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uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c"
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version = "1.0.1"
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[[AbstractPlutoDingetjes]]
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deps = ["Pkg"]
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git-tree-sha1 = "0ec322186e078db08ea3e7da5b8b2885c099b393"
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uuid = "6e696c72-6542-2067-7265-42206c756150"
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version = "1.1.0"
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[[AbstractTrees]]
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git-tree-sha1 = "03e0550477d86222521d254b741d470ba17ea0b5"
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uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c"
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version = "0.3.4"
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|
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[[Adapt]]
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deps = ["LinearAlgebra"]
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git-tree-sha1 = "84918055d15b3114ede17ac6a7182f68870c16f7"
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|
uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
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version = "3.3.1"
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|
|
|
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[[ArgTools]]
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|
uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
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|
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[[ArrayInterface]]
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|
deps = ["Compat", "IfElse", "LinearAlgebra", "Requires", "SparseArrays", "Static"]
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|
git-tree-sha1 = "e527b258413e0c6d4f66ade574744c94edef81f8"
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uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
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|
version = "3.1.40"
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|
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[[Artifacts]]
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uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
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[[BFloat16s]]
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deps = ["LinearAlgebra", "Printf", "Random", "Test"]
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git-tree-sha1 = "a598ecb0d717092b5539dbbe890c98bac842b072"
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uuid = "ab4f0b2a-ad5b-11e8-123f-65d77653426b"
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version = "0.2.0"
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[[Base64]]
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uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
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[[CEnum]]
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git-tree-sha1 = "215a9aa4a1f23fbd05b92769fdd62559488d70e9"
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uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82"
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version = "0.4.1"
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[[CUDA]]
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deps = ["AbstractFFTs", "Adapt", "BFloat16s", "CEnum", "CompilerSupportLibraries_jll", "ExprTools", "GPUArrays", "GPUCompiler", "LLVM", "LazyArtifacts", "Libdl", "LinearAlgebra", "Logging", "Printf", "Random", "Random123", "RandomNumbers", "Reexport", "Requires", "SparseArrays", "SpecialFunctions", "TimerOutputs"]
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git-tree-sha1 = "2c8329f16addffd09e6ca84c556e2185a4933c64"
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uuid = "052768ef-5323-5732-b1bb-66c8b64840ba"
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version = "3.5.0"
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[[ChainRules]]
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|
|
deps = ["ChainRulesCore", "Compat", "LinearAlgebra", "Random", "RealDot", "Statistics"]
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git-tree-sha1 = "035ef8a5382a614b2d8e3091b6fdbb1c2b050e11"
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uuid = "082447d4-558c-5d27-93f4-14fc19e9eca2"
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|
version = "1.12.1"
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[[ChainRulesCore]]
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|
|
deps = ["Compat", "LinearAlgebra", "SparseArrays"]
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git-tree-sha1 = "f885e7e7c124f8c92650d61b9477b9ac2ee607dd"
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uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
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version = "1.11.1"
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[[CodecZlib]]
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|
deps = ["TranscodingStreams", "Zlib_jll"]
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git-tree-sha1 = "ded953804d019afa9a3f98981d99b33e3db7b6da"
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uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
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version = "0.7.0"
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[[ColorTypes]]
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deps = ["FixedPointNumbers", "Random"]
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git-tree-sha1 = "024fe24d83e4a5bf5fc80501a314ce0d1aa35597"
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uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
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version = "0.11.0"
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[[Colors]]
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|
deps = ["ColorTypes", "FixedPointNumbers", "Reexport"]
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git-tree-sha1 = "417b0ed7b8b838aa6ca0a87aadf1bb9eb111ce40"
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uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
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version = "0.12.8"
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[[CommonSubexpressions]]
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deps = ["MacroTools", "Test"]
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git-tree-sha1 = "7b8a93dba8af7e3b42fecabf646260105ac373f7"
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uuid = "bbf7d656-a473-5ed7-a52c-81e309532950"
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version = "0.3.0"
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[[Compat]]
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deps = ["Base64", "Dates", "DelimitedFiles", "Distributed", "InteractiveUtils", "LibGit2", "Libdl", "LinearAlgebra", "Markdown", "Mmap", "Pkg", "Printf", "REPL", "Random", "SHA", "Serialization", "SharedArrays", "Sockets", "SparseArrays", "Statistics", "Test", "UUIDs", "Unicode"]
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git-tree-sha1 = "dce3e3fea680869eaa0b774b2e8343e9ff442313"
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uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
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version = "3.40.0"
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[[CompilerSupportLibraries_jll]]
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deps = ["Artifacts", "Libdl"]
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uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
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[[DataAPI]]
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git-tree-sha1 = "cc70b17275652eb47bc9e5f81635981f13cea5c8"
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uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
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version = "1.9.0"
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[[DataStructures]]
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deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
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git-tree-sha1 = "7d9d316f04214f7efdbb6398d545446e246eff02"
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uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
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version = "0.18.10"
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[[Dates]]
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deps = ["Printf"]
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uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
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[[DelimitedFiles]]
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deps = ["Mmap"]
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uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"
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[[DiffResults]]
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deps = ["StaticArrays"]
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git-tree-sha1 = "c18e98cba888c6c25d1c3b048e4b3380ca956805"
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uuid = "163ba53b-c6d8-5494-b064-1a9d43ac40c5"
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version = "1.0.3"
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[[DiffRules]]
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deps = ["LogExpFunctions", "NaNMath", "Random", "SpecialFunctions"]
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git-tree-sha1 = "3287dacf67c3652d3fed09f4c12c187ae4dbb89a"
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uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
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version = "1.4.0"
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[[Distributed]]
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deps = ["Random", "Serialization", "Sockets"]
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uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
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[[DocStringExtensions]]
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deps = ["LibGit2"]
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git-tree-sha1 = "b19534d1895d702889b219c382a6e18010797f0b"
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uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
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version = "0.8.6"
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[[Downloads]]
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deps = ["ArgTools", "LibCURL", "NetworkOptions"]
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uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"
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[[ExprTools]]
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git-tree-sha1 = "b7e3d17636b348f005f11040025ae8c6f645fe92"
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uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04"
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version = "0.1.6"
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[[FillArrays]]
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deps = ["LinearAlgebra", "Random", "SparseArrays", "Statistics"]
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git-tree-sha1 = "8756f9935b7ccc9064c6eef0bff0ad643df733a3"
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uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
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version = "0.12.7"
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[[FixedPointNumbers]]
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deps = ["Statistics"]
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git-tree-sha1 = "335bfdceacc84c5cdf16aadc768aa5ddfc5383cc"
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uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93"
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version = "0.8.4"
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[[Flux]]
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|
|
deps = ["AbstractTrees", "Adapt", "ArrayInterface", "CUDA", "CodecZlib", "Colors", "DelimitedFiles", "Functors", "Juno", "LinearAlgebra", "MacroTools", "NNlib", "NNlibCUDA", "Pkg", "Printf", "Random", "Reexport", "SHA", "SparseArrays", "Statistics", "StatsBase", "Test", "ZipFile", "Zygote"]
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git-tree-sha1 = "e8b37bb43c01eed0418821d1f9d20eca5ba6ab21"
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uuid = "587475ba-b771-5e3f-ad9e-33799f191a9c"
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version = "0.12.8"
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[[ForwardDiff]]
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|
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deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions", "StaticArrays"]
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git-tree-sha1 = "ef3fec65f9db26fa2cf8f4133c697c5b7ce63c1d"
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uuid = "f6369f11-7733-5829-9624-2563aa707210"
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version = "0.10.22"
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[[Functors]]
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git-tree-sha1 = "e4768c3b7f597d5a352afa09874d16e3c3f6ead2"
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uuid = "d9f16b24-f501-4c13-a1f2-28368ffc5196"
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version = "0.2.7"
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[[GPUArrays]]
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deps = ["Adapt", "LinearAlgebra", "Printf", "Random", "Serialization", "Statistics"]
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git-tree-sha1 = "7772508f17f1d482fe0df72cabc5b55bec06bbe0"
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uuid = "0c68f7d7-f131-5f86-a1c3-88cf8149b2d7"
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version = "8.1.2"
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[[GPUCompiler]]
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deps = ["ExprTools", "InteractiveUtils", "LLVM", "Libdl", "Logging", "TimerOutputs", "UUIDs"]
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git-tree-sha1 = "77d915a0af27d474f0aaf12fcd46c400a552e84c"
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uuid = "61eb1bfa-7361-4325-ad38-22787b887f55"
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version = "0.13.7"
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[[Hyperscript]]
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deps = ["Test"]
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git-tree-sha1 = "8d511d5b81240fc8e6802386302675bdf47737b9"
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uuid = "47d2ed2b-36de-50cf-bf87-49c2cf4b8b91"
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version = "0.0.4"
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[[HypertextLiteral]]
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git-tree-sha1 = "5efcf53d798efede8fee5b2c8b09284be359bf24"
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uuid = "ac1192a8-f4b3-4bfe-ba22-af5b92cd3ab2"
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version = "0.9.2"
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[[IOCapture]]
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deps = ["Logging", "Random"]
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git-tree-sha1 = "f7be53659ab06ddc986428d3a9dcc95f6fa6705a"
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uuid = "b5f81e59-6552-4d32-b1f0-c071b021bf89"
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version = "0.2.2"
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[[IRTools]]
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deps = ["InteractiveUtils", "MacroTools", "Test"]
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git-tree-sha1 = "95215cd0076a150ef46ff7928892bc341864c73c"
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uuid = "7869d1d1-7146-5819-86e3-90919afe41df"
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version = "0.4.3"
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[[IfElse]]
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git-tree-sha1 = "debdd00ffef04665ccbb3e150747a77560e8fad1"
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uuid = "615f187c-cbe4-4ef1-ba3b-2fcf58d6d173"
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version = "0.1.1"
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[[InteractiveUtils]]
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deps = ["Markdown"]
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uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
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[[InverseFunctions]]
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deps = ["Test"]
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git-tree-sha1 = "f0c6489b12d28fb4c2103073ec7452f3423bd308"
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uuid = "3587e190-3f89-42d0-90ee-14403ec27112"
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version = "0.1.1"
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[[IrrationalConstants]]
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git-tree-sha1 = "7fd44fd4ff43fc60815f8e764c0f352b83c49151"
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uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
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version = "0.1.1"
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[[JLLWrappers]]
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|
deps = ["Preferences"]
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git-tree-sha1 = "642a199af8b68253517b80bd3bfd17eb4e84df6e"
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uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
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version = "1.3.0"
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[[JSON]]
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deps = ["Dates", "Mmap", "Parsers", "Unicode"]
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git-tree-sha1 = "8076680b162ada2a031f707ac7b4953e30667a37"
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uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
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version = "0.21.2"
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[[Juno]]
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|
|
deps = ["Base64", "Logging", "Media", "Profile"]
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git-tree-sha1 = "07cb43290a840908a771552911a6274bc6c072c7"
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uuid = "e5e0dc1b-0480-54bc-9374-aad01c23163d"
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version = "0.8.4"
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[[LLVM]]
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deps = ["CEnum", "LLVMExtra_jll", "Libdl", "Printf", "Unicode"]
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git-tree-sha1 = "46092047ca4edc10720ecab437c42283cd7c44f3"
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uuid = "929cbde3-209d-540e-8aea-75f648917ca0"
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version = "4.6.0"
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[[LLVMExtra_jll]]
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deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
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git-tree-sha1 = "6a2af408fe809c4f1a54d2b3f188fdd3698549d6"
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uuid = "dad2f222-ce93-54a1-a47d-0025e8a3acab"
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version = "0.0.11+0"
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[[LazyArtifacts]]
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deps = ["Artifacts", "Pkg"]
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uuid = "4af54fe1-eca0-43a8-85a7-787d91b784e3"
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[[LibCURL]]
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deps = ["LibCURL_jll", "MozillaCACerts_jll"]
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uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"
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[[LibCURL_jll]]
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deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
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uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"
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[[LibGit2]]
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deps = ["Base64", "NetworkOptions", "Printf", "SHA"]
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uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"
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[[LibSSH2_jll]]
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deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
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uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"
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[[Libdl]]
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uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"
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[[LinearAlgebra]]
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deps = ["Libdl"]
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uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
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[[LogExpFunctions]]
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deps = ["ChainRulesCore", "DocStringExtensions", "InverseFunctions", "IrrationalConstants", "LinearAlgebra"]
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git-tree-sha1 = "6193c3815f13ba1b78a51ce391db8be016ae9214"
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uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
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version = "0.3.4"
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[[Logging]]
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uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
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[[MacroTools]]
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deps = ["Markdown", "Random"]
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git-tree-sha1 = "3d3e902b31198a27340d0bf00d6ac452866021cf"
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uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
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version = "0.5.9"
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[[Markdown]]
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deps = ["Base64"]
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uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
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[[MbedTLS_jll]]
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deps = ["Artifacts", "Libdl"]
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uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
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[[Media]]
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deps = ["MacroTools", "Test"]
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git-tree-sha1 = "75a54abd10709c01f1b86b84ec225d26e840ed58"
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uuid = "e89f7d12-3494-54d1-8411-f7d8b9ae1f27"
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version = "0.5.0"
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[[Missings]]
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deps = ["DataAPI"]
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git-tree-sha1 = "bf210ce90b6c9eed32d25dbcae1ebc565df2687f"
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uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
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version = "1.0.2"
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[[Mmap]]
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uuid = "a63ad114-7e13-5084-954f-fe012c677804"
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[[MozillaCACerts_jll]]
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uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
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[[NNlib]]
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|
|
deps = ["Adapt", "ChainRulesCore", "Compat", "LinearAlgebra", "Pkg", "Requires", "Statistics"]
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git-tree-sha1 = "5203a4532ad28c44f82c76634ad621d7c90abcbd"
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uuid = "872c559c-99b0-510c-b3b7-b6c96a88d5cd"
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version = "0.7.29"
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[[NNlibCUDA]]
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|
|
deps = ["CUDA", "LinearAlgebra", "NNlib", "Random", "Statistics"]
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git-tree-sha1 = "04490d5e7570c038b1cb0f5c3627597181cc15a9"
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uuid = "a00861dc-f156-4864-bf3c-e6376f28a68d"
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version = "0.1.9"
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[[NaNMath]]
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git-tree-sha1 = "bfe47e760d60b82b66b61d2d44128b62e3a369fb"
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uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
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version = "0.3.5"
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[[NetworkOptions]]
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uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
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[[OpenLibm_jll]]
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|
|
deps = ["Artifacts", "Libdl"]
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|
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uuid = "05823500-19ac-5b8b-9628-191a04bc5112"
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|
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[[OpenSpecFun_jll]]
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|
|
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
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git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1"
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uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
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version = "0.5.5+0"
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[[OrderedCollections]]
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git-tree-sha1 = "85f8e6578bf1f9ee0d11e7bb1b1456435479d47c"
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uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
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version = "1.4.1"
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[[Parsers]]
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deps = ["Dates"]
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git-tree-sha1 = "ae4bbcadb2906ccc085cf52ac286dc1377dceccc"
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uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
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version = "2.1.2"
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|
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[[Pkg]]
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|
|
deps = ["Artifacts", "Dates", "Downloads", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
|
|
|
uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
|
|
|
|
|
|
[[PlutoUI]]
|
|
|
deps = ["AbstractPlutoDingetjes", "Base64", "Dates", "Hyperscript", "HypertextLiteral", "IOCapture", "InteractiveUtils", "JSON", "Logging", "Markdown", "Random", "Reexport", "UUIDs"]
|
|
|
git-tree-sha1 = "57312c7ecad39566319ccf5aa717a20788eb8c1f"
|
|
|
uuid = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
|
|
|
version = "0.7.18"
|
|
|
|
|
|
[[Preferences]]
|
|
|
deps = ["TOML"]
|
|
|
git-tree-sha1 = "00cfd92944ca9c760982747e9a1d0d5d86ab1e5a"
|
|
|
uuid = "21216c6a-2e73-6563-6e65-726566657250"
|
|
|
version = "1.2.2"
|
|
|
|
|
|
[[Printf]]
|
|
|
deps = ["Unicode"]
|
|
|
uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"
|
|
|
|
|
|
[[Profile]]
|
|
|
deps = ["Printf"]
|
|
|
uuid = "9abbd945-dff8-562f-b5e8-e1ebf5ef1b79"
|
|
|
|
|
|
[[REPL]]
|
|
|
deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"]
|
|
|
uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
|
|
|
|
|
|
[[Random]]
|
|
|
deps = ["Serialization"]
|
|
|
uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
|
|
|
|
|
|
[[Random123]]
|
|
|
deps = ["Libdl", "Random", "RandomNumbers"]
|
|
|
git-tree-sha1 = "0e8b146557ad1c6deb1367655e052276690e71a3"
|
|
|
uuid = "74087812-796a-5b5d-8853-05524746bad3"
|
|
|
version = "1.4.2"
|
|
|
|
|
|
[[RandomNumbers]]
|
|
|
deps = ["Random", "Requires"]
|
|
|
git-tree-sha1 = "043da614cc7e95c703498a491e2c21f58a2b8111"
|
|
|
uuid = "e6cf234a-135c-5ec9-84dd-332b85af5143"
|
|
|
version = "1.5.3"
|
|
|
|
|
|
[[RealDot]]
|
|
|
deps = ["LinearAlgebra"]
|
|
|
git-tree-sha1 = "9f0a1b71baaf7650f4fa8a1d168c7fb6ee41f0c9"
|
|
|
uuid = "c1ae055f-0cd5-4b69-90a6-9a35b1a98df9"
|
|
|
version = "0.1.0"
|
|
|
|
|
|
[[Reexport]]
|
|
|
git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
|
|
|
uuid = "189a3867-3050-52da-a836-e630ba90ab69"
|
|
|
version = "1.2.2"
|
|
|
|
|
|
[[Requires]]
|
|
|
deps = ["UUIDs"]
|
|
|
git-tree-sha1 = "4036a3bd08ac7e968e27c203d45f5fff15020621"
|
|
|
uuid = "ae029012-a4dd-5104-9daa-d747884805df"
|
|
|
version = "1.1.3"
|
|
|
|
|
|
[[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"
|
|
|
|
|
|
[[Sockets]]
|
|
|
uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
|
|
|
|
|
|
[[SortingAlgorithms]]
|
|
|
deps = ["DataStructures"]
|
|
|
git-tree-sha1 = "b3363d7460f7d098ca0912c69b082f75625d7508"
|
|
|
uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
|
|
|
version = "1.0.1"
|
|
|
|
|
|
[[SparseArrays]]
|
|
|
deps = ["LinearAlgebra", "Random"]
|
|
|
uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
|
|
|
|
|
|
[[SpecialFunctions]]
|
|
|
deps = ["ChainRulesCore", "IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
|
|
|
git-tree-sha1 = "f0bccf98e16759818ffc5d97ac3ebf87eb950150"
|
|
|
uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
|
|
|
version = "1.8.1"
|
|
|
|
|
|
[[Static]]
|
|
|
deps = ["IfElse"]
|
|
|
git-tree-sha1 = "e7bc80dc93f50857a5d1e3c8121495852f407e6a"
|
|
|
uuid = "aedffcd0-7271-4cad-89d0-dc628f76c6d3"
|
|
|
version = "0.4.0"
|
|
|
|
|
|
[[StaticArrays]]
|
|
|
deps = ["LinearAlgebra", "Random", "Statistics"]
|
|
|
git-tree-sha1 = "3c76dde64d03699e074ac02eb2e8ba8254d428da"
|
|
|
uuid = "90137ffa-7385-5640-81b9-e52037218182"
|
|
|
version = "1.2.13"
|
|
|
|
|
|
[[Statistics]]
|
|
|
deps = ["LinearAlgebra", "SparseArrays"]
|
|
|
uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
|
|
|
|
|
|
[[StatsAPI]]
|
|
|
git-tree-sha1 = "1958272568dc176a1d881acb797beb909c785510"
|
|
|
uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
|
|
|
version = "1.0.0"
|
|
|
|
|
|
[[StatsBase]]
|
|
|
deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
|
|
|
git-tree-sha1 = "eb35dcc66558b2dda84079b9a1be17557d32091a"
|
|
|
uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
|
|
|
version = "0.33.12"
|
|
|
|
|
|
[[TOML]]
|
|
|
deps = ["Dates"]
|
|
|
uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
|
|
|
|
|
|
[[Tar]]
|
|
|
deps = ["ArgTools", "SHA"]
|
|
|
uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"
|
|
|
|
|
|
[[Test]]
|
|
|
deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
|
|
|
uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
|
|
|
|
|
|
[[TimerOutputs]]
|
|
|
deps = ["ExprTools", "Printf"]
|
|
|
git-tree-sha1 = "7cb456f358e8f9d102a8b25e8dfedf58fa5689bc"
|
|
|
uuid = "a759f4b9-e2f1-59dc-863e-4aeb61b1ea8f"
|
|
|
version = "0.5.13"
|
|
|
|
|
|
[[TranscodingStreams]]
|
|
|
deps = ["Random", "Test"]
|
|
|
git-tree-sha1 = "216b95ea110b5972db65aa90f88d8d89dcb8851c"
|
|
|
uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
|
|
|
version = "0.9.6"
|
|
|
|
|
|
[[UUIDs]]
|
|
|
deps = ["Random", "SHA"]
|
|
|
uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
|
|
|
|
|
|
[[Unicode]]
|
|
|
uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
|
|
|
|
|
|
[[ZipFile]]
|
|
|
deps = ["Libdl", "Printf", "Zlib_jll"]
|
|
|
git-tree-sha1 = "3593e69e469d2111389a9bd06bac1f3d730ac6de"
|
|
|
uuid = "a5390f91-8eb1-5f08-bee0-b1d1ffed6cea"
|
|
|
version = "0.9.4"
|
|
|
|
|
|
[[Zlib_jll]]
|
|
|
deps = ["Libdl"]
|
|
|
uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
|
|
|
|
|
|
[[Zygote]]
|
|
|
deps = ["AbstractFFTs", "ChainRules", "ChainRulesCore", "DiffRules", "Distributed", "FillArrays", "ForwardDiff", "IRTools", "InteractiveUtils", "LinearAlgebra", "MacroTools", "NaNMath", "Random", "Requires", "SpecialFunctions", "Statistics", "ZygoteRules"]
|
|
|
git-tree-sha1 = "0fc9959bcabc4668c403810b4e851f6b8962eac9"
|
|
|
uuid = "e88e6eb3-aa80-5325-afca-941959d7151f"
|
|
|
version = "0.6.29"
|
|
|
|
|
|
[[ZygoteRules]]
|
|
|
deps = ["MacroTools"]
|
|
|
git-tree-sha1 = "8c1a8e4dfacb1fd631745552c8db35d0deb09ea0"
|
|
|
uuid = "700de1a5-db45-46bc-99cf-38207098b444"
|
|
|
version = "0.2.2"
|
|
|
|
|
|
[[nghttp2_jll]]
|
|
|
deps = ["Artifacts", "Libdl"]
|
|
|
uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
|
|
|
|
|
|
[[p7zip_jll]]
|
|
|
deps = ["Artifacts", "Libdl"]
|
|
|
uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
|
|
|
"""
|
|
|
|
|
|
# ╔═╡ Cell order:
|
|
|
# ╠═0829eb90-1d74-46b6-80ec-482a2b71c6fe
|
|
|
# ╟─66f0e667-d722-4e1e-807b-84a39cbc41b1
|
|
|
# ╠═9fa41b7c-1923-4c1e-bfc6-20ce4a1a2ede
|
|
|
# ╟─90446134-4e45-471c-857d-4e165e51937a
|
|
|
# ╟─5b45b29e-f0f4-41e9-91e7-d444687feb4e
|
|
|
# ╟─152f3a3c-a565-41bb-8e59-6ab0d2315ffb
|
|
|
# ╟─25ac9438-2b1d-4f6b-9ff1-1695e1d52b51
|
|
|
# ╠═29ff1777-d276-4e8f-8582-4ca191f2e2ff
|
|
|
# ╠═f7aabe43-9a2c-4fe0-8099-c29cdf66566c
|
|
|
# ╠═d816b252-bdca-44ba-ac5c-cb21163a1e9a
|
|
|
# ╠═95bfc9d8-8427-41d6-9f0f-f155296eef91
|
|
|
# ╠═206ac4cc-5102-4381-ad8a-777b02dc4d5a
|
|
|
# ╠═1cbaa2e5-55e4-46f9-82d0-04b481470094
|
|
|
# ╠═f8d582cb-10cf-4c72-8127-787f662e0567
|
|
|
# ╠═5946daa3-4608-43f3-8933-dd3eb3f4541c
|
|
|
# ╠═41271ab4-1ec7-431f-9efb-0f7c3da2d8b4
|
|
|
# ╠═43b99708-0052-4b78-886c-92ac2b532f29
|
|
|
# ╠═dff642d9-ec5a-4fed-a059-6c07760a3a58
|
|
|
# ╟─b433a7ec-8264-48d6-8b95-53d2ec4bad05
|
|
|
# ╠═fb6aacff-c42d-4ec1-88cb-5ce1b2e8874f
|
|
|
# ╠═65e0b1fa-d5e1-4ff6-8736-c9d6b5f40150
|
|
|
# ╠═f30904a7-5caa-449a-a5bd-f2aa78777a9a
|
|
|
# ╟─5abebc1a-370c-4f5f-8826-dc0b143d5166
|
|
|
# ╠═a20959be-65e4-4b69-9521-503bc59f0854
|
|
|
# ╠═6bf8d29a-7990-4e91-86e6-d9894ed3db27
|
|
|
# ╠═e7ee1a0f-ab9b-439e-a7be-4a6d3b8f160d
|
|
|
# ╠═74f5fde3-0593-46fc-a688-f1db7ab28c64
|
|
|
# ╠═02f3fe78-e7a7-453f-9ddf-acddf08d8676
|
|
|
# ╟─00000000-0000-0000-0000-000000000001
|
|
|
# ╟─00000000-0000-0000-0000-000000000002
|