### A Pluto.jl notebook ###
# v0.19.9

using Markdown
using InteractiveUtils

# ╔═╡ ceff6126-51fc-11eb-3cf5-dd30d637e267
begin
	using Dates 
	using MortalityTables 
	using DifferentialEquations 
	using Plots 
	using ActuaryUtilities
end

# ╔═╡ 0753ca05-21bd-4182-9e11-f9f70d076438
using LaTeXStrings

# ╔═╡ cd5e7080-5348-11eb-2c22-455a3556cab0
md"
# Universal Life Policy Account Mechanics as a Differential Equation
"

# ╔═╡ de0ace1a-5348-11eb-35c9-5f0ff4009d97
md"""
## Introduction

This demonstrates an example of defining an universal life policy value roll like a discrete differential equation. 

It then uses the [SciML DifferentialEquations](https://sciml.ai/) package to "solve" the policy projection given a single point, but also to see how the policy projection behaves under different premium and interest rate conditions.

The first time this is run, it will download and precompile some large packages.
"""

# ╔═╡ ef26ffb6-5348-11eb-04a8-c5cbfdcab72a
md"""
Let's use the 2001 CSO table as the basis for cost of insurance charges:
"""

# ╔═╡ 45dab59c-528d-11eb-357d-af3664466910
cso = MortalityTables.table("2001 CSO Super Preferred Select and Ultimate - Male Nonsmoker, ANB")

# ╔═╡ ffe9b6e0-5348-11eb-2d38-a5613eb24383
md"""
Next, policy mechanics are coded. It's essentially a discrete differential equation, so it leverages [`DifferentialEquations.jl`](https://diffeq.sciml.ai/dev/)

The projection is coded in the [Discrete DifferentialEquation format](https://diffeq.sciml.ai/dev/types/discrete_types/):

``u_{n+1} = f(u,p,t_{n+1})``

In the code below, this translates to:

- `u` is the *state* of the system. We  will track three variables to represent the `state`:
   - `state[1]` is the account value
   - `state[2]` is the premium paid
   - `state[3]` is the policy duration
- `p` are the parameters of the system.
- `t` is the time, which will represent days since policy issuance
"""

# ╔═╡ da199644-51fc-11eb-0aab-dd68b1fcddc6
function policy_projection(state,p,t)
    # grab the state from the inputs
    av = state[1] 
    
    # calculated variables
    cur_date = p.issue_date + Day(t)
    dur = duration(p.issue_date,cur_date)
    att_age = p.issue_age + dur - 1
	
	# lapse if AV <= 0 
    lapsed = (av <= 0.0 ) & (t > 1) 
    
    if !lapsed 

        monthly_coi_rate = (1 - (1-p.mort_assump[att_age]) ^ (1/12))

		## Periodic Policy elements
		
        # annual events
        if Dates.monthday(cur_date) == Dates.monthday(p.issue_date) || 
			cur_date ==p.issue_date + Day(1) # OR first issue date
			
            premium = p.annual_prem
        else
            premium = 0.0
        end

        # monthly_events
        if Dates.day(cur_date) == Dates.day(p.issue_date)
            coi = max((p.face - av) * monthly_coi_rate,0.0)
        else
            coi = 0.0
        end

        # daily events
        int(av) = av * ((1 + p.int_rate) ^ (1 / 360) - 1.0)


        
        # av
        new_av = max(0.0,av - coi + premium + int(av-coi)) 
	
				# new state
		return [new_av, premium, dur] # AV, Prem, Dur
        
    else
		# new state
		return [0.0, 0.0, dur] # AV, Prem, Dur
        
    end
	
    
end

# ╔═╡ 8a227236-5349-11eb-353d-1d3f94a968d0
md"The following function will create a named tuple of parameters given a varying `prem` (premium) and `int` (credit rate)."

# ╔═╡ 956811e4-5349-11eb-2b34-b5441def32a1
params(prem,int) = (
    int_rate = int,
    issue_date = Date(2010,1,1),
    face = 1e6,
    issue_age = 25,
    mort_assump = MortalityTables.table("2001 CSO Super Preferred Select and Ultimate - Male Nonsmoker, ANB").ultimate,
    projection_years = 75,
    annual_prem = prem,
)

# ╔═╡ 9ee35710-5349-11eb-0d45-23bc292d8a3d
md"""
## Runing the system

This results in the following plot. The tracked output variables u1 and u2 represent the two vars that we tracked above: account value and cumulative premium.
"""

# ╔═╡ b65ef28c-5349-11eb-1baa-6575ad7fb946
begin
	p = params(
	        8000.0, # 8,000 annual premium
	        0.08    # 8% interest
	        ) 
	
	# calculate the number of days to project
	projection_end_date = p.issue_date + Year(p.projection_years) 
	days_to_project = Dates.value(projection_end_date - p.issue_date)
	        
	# the [0.0,..] are the initial conditions for the tracked variables
	 prob = DiscreteProblem(policy_projection,[0.0,0.0,0],(0,days_to_project),p)
	 proj = solve(prob,FunctionMap())
	
	 plot(proj)
end

# ╔═╡ c4637664-5349-11eb-0e81-59e39974f02e
md"""
## Moving up the ladder of abstraction

An excellent way to understand the behavior of a model is to [move up the ladder of abstraction](http://worrydream.com/LadderOfAbstraction/). Below, we will see what happens to the projection at varying levels of credit rates and annual premiums.
"""

# ╔═╡ a0f5551d-9e1b-4d2a-85f0-7ebb14b6bd88
md"The full range of simulated outcomes can take a couple of minutes to run:"

# ╔═╡ 02cc352a-5409-11eb-0fda-336d5fa42fa9
begin
	prem_range = 1000.0:100.0:9000.0
	int_range = 0.02:0.0025:0.08
	
	function ending_av(ann_prem,int,days_to_project)
	    p = params(ann_prem,int)
	    prob = DiscreteProblem(policy_projection,[0.0,0.0,0],(0,days_to_project),p)
	    proj = solve(prob,FunctionMap())
	    end_av = proj[end][1] 
	    if end_av == 0.0
	        lapse_time = findfirst(isequal(0.0),proj[1,2:end])
	    else
	        lapse_time = length(proj)
	    end
	    duration = proj[3,lapse_time]
	    end_age = p.issue_age + duration - 1.0
	    
	    return end_av,end_age
	    
	end
	
	end_age = zeros(length(prem_range),length(int_range))
	end_av = zeros(length(prem_range),length(int_range))
	
	# loop through each projection we did and fill our ranges with the ending AV and ending age
	for (i,vp) in enumerate(prem_range)
	    for (j,vi) in enumerate(int_range)
	        end_av[i,j],end_age[i,j] = ending_av(vp,vi,days_to_project)
	    end
	end
end

# ╔═╡ 280d25a6-5409-11eb-17d9-674f218f4351
begin
	using ColorSchemes # for Turbo colors, which emphasize readability
	
	viz = plot(layout=2) # side by side plot
	
	# 
	contour!(viz[1],int_range,
	    prem_range,
	    end_av ./ 1e6, # scale to millions for readability
	
	    contour_labels=true,
	    c=cgrad(ColorSchemes.turbo.colors),
	    fill=true,
	    title="AV at age 100 (M)",
	    ylabel=L"Annual Premium (\$)",
		xlabel="credit rate"
	    
	
	)
	
	contour!(viz[2],int_range,
	    prem_range,
	    end_age, 
	
	    contour_labels=true,
	    c=cgrad(ColorSchemes.turbo.colors),
	    fill=true,
	    yaxis=false,
	    title="Age at Lapse",
		xlabel="credit rate"
	)
	
	annotate!(viz[2],[0.055,7000,Plots.text("Doesn't lapse \nbefore age 100", 8, :white, :center)])
	
end

# ╔═╡ 21e53f60-5409-11eb-291d-d903da8e16b4
md"
Now let's plot the result. Not surprising, interest has a huge effect on the policy projection. Premium is also a major influence.

One thing that's remarkable is how going from 2000 premium to just ~2200 of premium results in about a $5m difference at 8% interest. The power of compound interest!
"

# ╔═╡ 684f7efc-5409-11eb-0757-19b40c5d418e
md"
## Conclusion

This shows how universal life mechanics are a dynamic system. the growth/decay is governed by two competing feedback loops:

- Growth: the force of interest lets the balance grow exponentially over long periods of time

- Decay: low balances increase the net amount at risk and the resulting COI charges.

"

# ╔═╡ 7e80faf0-5409-11eb-33f6-4f6be6fea835
md" 
## Endnotes

This is not meant to represent any particular insurance product, nor fully replicate typical account mechanics.
"

# ╔═╡ 00000000-0000-0000-0000-000000000001
PLUTO_PROJECT_TOML_CONTENTS = """
[deps]
ActuaryUtilities = "bdd23359-8b1c-4f88-b89b-d11982a786f4"
ColorSchemes = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
Dates = "ade2ca70-3891-5945-98fb-dc099432e06a"
DifferentialEquations = "0c46a032-eb83-5123-abaf-570d42b7fbaa"
LaTeXStrings = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
MortalityTables = "4780e19d-04b9-53dc-86c2-9e9aa59b5a12"
Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"

[compat]
ActuaryUtilities = "~3.4.2"
ColorSchemes = "~3.19.0"
DifferentialEquations = "~7.2.0"
LaTeXStrings = "~1.3.0"
MortalityTables = "~2.3.0"
Plots = "~1.31.2"
"""

# ╔═╡ 00000000-0000-0000-0000-000000000002
PLUTO_MANIFEST_TOML_CONTENTS = """
# This file is machine-generated - editing it directly is not advised

[[ActuaryUtilities]]
deps = ["Dates", "Distributions", "ForwardDiff", "QuadGK", "Roots", "StatsBase", "Yields"]
git-tree-sha1 = "6006b05894a4d1d10b2f61b94105918ee0fa86fe"
uuid = "bdd23359-8b1c-4f88-b89b-d11982a786f4"
version = "3.4.2"

[[Adapt]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "af92965fb30777147966f58acb05da51c5616b5f"
uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
version = "3.3.3"

[[ArgTools]]
uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
version = "1.1.1"

[[ArnoldiMethod]]
deps = ["LinearAlgebra", "Random", "StaticArrays"]
git-tree-sha1 = "62e51b39331de8911e4a7ff6f5aaf38a5f4cc0ae"
uuid = "ec485272-7323-5ecc-a04f-4719b315124d"
version = "0.2.0"

[[ArrayInterface]]
deps = ["ArrayInterfaceCore", "Compat", "IfElse", "LinearAlgebra", "Static"]
git-tree-sha1 = "6ccb71b40b04ad69152f1f83d5925de13911417e"
uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
version = "6.0.19"

[[ArrayInterfaceCore]]
deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
git-tree-sha1 = "7d255eb1d2e409335835dc8624c35d97453011eb"
uuid = "30b0a656-2188-435a-8636-2ec0e6a096e2"
version = "0.1.14"

[[ArrayInterfaceGPUArrays]]
deps = ["Adapt", "ArrayInterfaceCore", "GPUArraysCore", "LinearAlgebra"]
git-tree-sha1 = "febba7add2873aecc0b6620b55969e73ec875bce"
uuid = "6ba088a2-8465-4c0a-af30-387133b534db"
version = "0.2.1"

[[ArrayInterfaceOffsetArrays]]
deps = ["ArrayInterface", "OffsetArrays", "Static"]
git-tree-sha1 = "c49f6bad95a30defff7c637731f00934c7289c50"
uuid = "015c0d05-e682-4f19-8f0a-679ce4c54826"
version = "0.1.6"

[[ArrayInterfaceStaticArrays]]
deps = ["Adapt", "ArrayInterface", "ArrayInterfaceStaticArraysCore", "LinearAlgebra", "Static", "StaticArrays"]
git-tree-sha1 = "efb000a9f643f018d5154e56814e338b5746c560"
uuid = "b0d46f97-bff5-4637-a19a-dd75974142cd"
version = "0.1.4"

[[ArrayInterfaceStaticArraysCore]]
deps = ["Adapt", "ArrayInterfaceCore", "LinearAlgebra", "StaticArraysCore"]
git-tree-sha1 = "a1e2cf6ced6505cbad2490532388683f1e88c3ed"
uuid = "dd5226c6-a4d4-4bc7-8575-46859f9c95b9"
version = "0.1.0"

[[ArrayLayouts]]
deps = ["FillArrays", "LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "26c659b14c4dc109b6b9c3398e4455eebc523814"
uuid = "4c555306-a7a7-4459-81d9-ec55ddd5c99a"
version = "0.8.8"

[[Artifacts]]
uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"

[[AxisAlgorithms]]
deps = ["LinearAlgebra", "Random", "SparseArrays", "WoodburyMatrices"]
git-tree-sha1 = "66771c8d21c8ff5e3a93379480a2307ac36863f7"
uuid = "13072b0f-2c55-5437-9ae7-d433b7a33950"
version = "1.0.1"

[[BSplineKit]]
deps = ["ArrayLayouts", "BandedMatrices", "FastGaussQuadrature", "Interpolations", "LazyArrays", "LinearAlgebra", "Random", "Reexport", "SparseArrays", "StaticArrays"]
git-tree-sha1 = "651e79138b30580c5a1586b67c3298be6c7b8afe"
uuid = "093aae92-e908-43d7-9660-e50ee39d5a0a"
version = "0.8.4"

[[BandedMatrices]]
deps = ["ArrayLayouts", "FillArrays", "LinearAlgebra", "Random", "SparseArrays"]
git-tree-sha1 = "019aa88766e2493c59cbd0a9955e1bac683ffbcd"
uuid = "aae01518-5342-5314-be14-df237901396f"
version = "0.16.13"

[[Base64]]
uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"

[[BitTwiddlingConvenienceFunctions]]
deps = ["Static"]
git-tree-sha1 = "eaee37f76339077f86679787a71990c4e465477f"
uuid = "62783981-4cbd-42fc-bca8-16325de8dc4b"
version = "0.1.4"

[[BoundaryValueDiffEq]]
deps = ["BandedMatrices", "DiffEqBase", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "NLsolve", "Reexport", "SparseArrays"]
git-tree-sha1 = "d6a331230022493b704e1d5c11f928e2cce2d058"
uuid = "764a87c0-6b3e-53db-9096-fe964310641d"
version = "2.8.0"

[[Bzip2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "19a35467a82e236ff51bc17a3a44b69ef35185a2"
uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
version = "1.0.8+0"

[[CEnum]]
git-tree-sha1 = "eb4cb44a499229b3b8426dcfb5dd85333951ff90"
uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82"
version = "0.4.2"

[[CPUSummary]]
deps = ["CpuId", "IfElse", "Static"]
git-tree-sha1 = "b1a532a582dd18b34543366322d390e1560d40a9"
uuid = "2a0fbf3d-bb9c-48f3-b0a9-814d99fd7ab9"
version = "0.1.23"

[[Cairo_jll]]
deps = ["Artifacts", "Bzip2_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"]
git-tree-sha1 = "4b859a208b2397a7a623a03449e4636bdb17bcf2"
uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a"
version = "1.16.1+1"

[[Calculus]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "f641eb0a4f00c343bbc32346e1217b86f3ce9dad"
uuid = "49dc2e85-a5d0-5ad3-a950-438e2897f1b9"
version = "0.5.1"

[[ChainRulesCore]]
deps = ["Compat", "LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "2dd813e5f2f7eec2d1268c57cf2373d3ee91fcea"
uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
version = "1.15.1"

[[ChangesOfVariables]]
deps = ["ChainRulesCore", "LinearAlgebra", "Test"]
git-tree-sha1 = "1e315e3f4b0b7ce40feded39c73049692126cf53"
uuid = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
version = "0.1.3"

[[CloseOpenIntervals]]
deps = ["ArrayInterface", "Static"]
git-tree-sha1 = "5522c338564580adf5d58d91e43a55db0fa5fb39"
uuid = "fb6a15b2-703c-40df-9091-08a04967cfa9"
version = "0.1.10"

[[CodecZlib]]
deps = ["TranscodingStreams", "Zlib_jll"]
git-tree-sha1 = "ded953804d019afa9a3f98981d99b33e3db7b6da"
uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
version = "0.7.0"

[[ColorSchemes]]
deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "Random"]
git-tree-sha1 = "1fd869cc3875b57347f7027521f561cf46d1fcd8"
uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
version = "3.19.0"

[[ColorTypes]]
deps = ["FixedPointNumbers", "Random"]
git-tree-sha1 = "eb7f0f8307f71fac7c606984ea5fb2817275d6e4"
uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
version = "0.11.4"

[[ColorVectorSpace]]
deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "SpecialFunctions", "Statistics", "TensorCore"]
git-tree-sha1 = "d08c20eef1f2cbc6e60fd3612ac4340b89fea322"
uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4"
version = "0.9.9"

[[Colors]]
deps = ["ColorTypes", "FixedPointNumbers", "Reexport"]
git-tree-sha1 = "417b0ed7b8b838aa6ca0a87aadf1bb9eb111ce40"
uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
version = "0.12.8"

[[CommonSolve]]
git-tree-sha1 = "332a332c97c7071600984b3c31d9067e1a4e6e25"
uuid = "38540f10-b2f7-11e9-35d8-d573e4eb0ff2"
version = "0.2.1"

[[CommonSubexpressions]]
deps = ["MacroTools", "Test"]
git-tree-sha1 = "7b8a93dba8af7e3b42fecabf646260105ac373f7"
uuid = "bbf7d656-a473-5ed7-a52c-81e309532950"
version = "0.3.0"

[[Compat]]
deps = ["Base64", "Dates", "DelimitedFiles", "Distributed", "InteractiveUtils", "LibGit2", "Libdl", "LinearAlgebra", "Markdown", "Mmap", "Pkg", "Printf", "REPL", "Random", "SHA", "Serialization", "SharedArrays", "Sockets", "SparseArrays", "Statistics", "Test", "UUIDs", "Unicode"]
git-tree-sha1 = "9be8be1d8a6f44b96482c8af52238ea7987da3e3"
uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
version = "3.45.0"

[[CompilerSupportLibraries_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
version = "0.5.2+0"

[[ConstructionBase]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "59d00b3139a9de4eb961057eabb65ac6522be954"
uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
version = "1.4.0"

[[Contour]]
deps = ["StaticArrays"]
git-tree-sha1 = "9f02045d934dc030edad45944ea80dbd1f0ebea7"
uuid = "d38c429a-6771-53c6-b99e-75d170b6e991"
version = "0.5.7"

[[CpuId]]
deps = ["Markdown"]
git-tree-sha1 = "fcbb72b032692610bfbdb15018ac16a36cf2e406"
uuid = "adafc99b-e345-5852-983c-f28acb93d879"
version = "0.3.1"

[[Crayons]]
git-tree-sha1 = "249fe38abf76d48563e2f4556bebd215aa317e15"
uuid = "a8cc5b0e-0ffa-5ad4-8c14-923d3ee1735f"
version = "4.1.1"

[[DataAPI]]
git-tree-sha1 = "fb5f5316dd3fd4c5e7c30a24d50643b73e37cd40"
uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
version = "1.10.0"

[[DataStructures]]
deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
git-tree-sha1 = "d1fff3a548102f48987a52a2e0d114fa97d730f0"
uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
version = "0.18.13"

[[DataValueInterfaces]]
git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6"
uuid = "e2d170a0-9d28-54be-80f0-106bbe20a464"
version = "1.0.0"

[[Dates]]
deps = ["Printf"]
uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"

[[DelayDiffEq]]
deps = ["ArrayInterface", "DataStructures", "DiffEqBase", "LinearAlgebra", "Logging", "NonlinearSolve", "OrdinaryDiffEq", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "UnPack"]
git-tree-sha1 = "078f21d61a6f43a7b3eab4620ac958183e44cee2"
uuid = "bcd4f6db-9728-5f36-b5f7-82caef46ccdb"
version = "5.37.0"

[[DelimitedFiles]]
deps = ["Mmap"]
uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"
version = "1.0.0"

[[DensityInterface]]
deps = ["InverseFunctions", "Test"]
git-tree-sha1 = "80c3e8639e3353e5d2912fb3a1916b8455e2494b"
uuid = "b429d917-457f-4dbc-8f4c-0cc954292b1d"
version = "0.4.0"

[[DiffEqBase]]
deps = ["ArrayInterfaceCore", "ChainRulesCore", "DataStructures", "Distributions", "DocStringExtensions", "FastBroadcast", "ForwardDiff", "FunctionWrappers", "LinearAlgebra", "Logging", "MuladdMacro", "NonlinearSolve", "Parameters", "Printf", "RecursiveArrayTools", "Reexport", "Requires", "SciMLBase", "Setfield", "SparseArrays", "StaticArrays", "Statistics", "ZygoteRules"]
git-tree-sha1 = "da9b5a3f2372682d5de7e08ce01ec008b79f81f8"
uuid = "2b5f629d-d688-5b77-993f-72d75c75574e"
version = "6.93.0"

[[DiffEqCallbacks]]
deps = ["DataStructures", "DiffEqBase", "ForwardDiff", "LinearAlgebra", "NLsolve", "Parameters", "RecipesBase", "RecursiveArrayTools", "SciMLBase", "StaticArrays"]
git-tree-sha1 = "cfef2afe8d73ed2d036b0e4b14a3f9b53045c534"
uuid = "459566f4-90b8-5000-8ac3-15dfb0a30def"
version = "2.23.1"

[[DiffEqNoiseProcess]]
deps = ["DiffEqBase", "Distributions", "GPUArraysCore", "LinearAlgebra", "Markdown", "Optim", "PoissonRandom", "QuadGK", "Random", "Random123", "RandomNumbers", "RecipesBase", "RecursiveArrayTools", "ResettableStacks", "SciMLBase", "StaticArrays", "Statistics"]
git-tree-sha1 = "6f3fe6ebe1b6e6e3a9b72739ada313aa17c9bb66"
uuid = "77a26b50-5914-5dd7-bc55-306e6241c503"
version = "5.12.0"

[[DiffResults]]
deps = ["StaticArrays"]
git-tree-sha1 = "c18e98cba888c6c25d1c3b048e4b3380ca956805"
uuid = "163ba53b-c6d8-5494-b064-1a9d43ac40c5"
version = "1.0.3"

[[DiffRules]]
deps = ["IrrationalConstants", "LogExpFunctions", "NaNMath", "Random", "SpecialFunctions"]
git-tree-sha1 = "28d605d9a0ac17118fe2c5e9ce0fbb76c3ceb120"
uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
version = "1.11.0"

[[DifferentialEquations]]
deps = ["BoundaryValueDiffEq", "DelayDiffEq", "DiffEqBase", "DiffEqCallbacks", "DiffEqNoiseProcess", "JumpProcesses", "LinearAlgebra", "LinearSolve", "OrdinaryDiffEq", "Random", "RecursiveArrayTools", "Reexport", "SteadyStateDiffEq", "StochasticDiffEq", "Sundials"]
git-tree-sha1 = "0ccc4356a8f268d5eee641f0944074560c45267a"
uuid = "0c46a032-eb83-5123-abaf-570d42b7fbaa"
version = "7.2.0"

[[Distances]]
deps = ["LinearAlgebra", "SparseArrays", "Statistics", "StatsAPI"]
git-tree-sha1 = "3258d0659f812acde79e8a74b11f17ac06d0ca04"
uuid = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7"
version = "0.10.7"

[[Distributed]]
deps = ["Random", "Serialization", "Sockets"]
uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"

[[Distributions]]
deps = ["ChainRulesCore", "DensityInterface", "FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SparseArrays", "SpecialFunctions", "Statistics", "StatsBase", "StatsFuns", "Test"]
git-tree-sha1 = "429077fd74119f5ac495857fd51f4120baf36355"
uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
version = "0.25.65"

[[DocStringExtensions]]
deps = ["LibGit2"]
git-tree-sha1 = "b19534d1895d702889b219c382a6e18010797f0b"
uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
version = "0.8.6"

[[Downloads]]
deps = ["ArgTools", "FileWatching", "LibCURL", "NetworkOptions"]
uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6"
version = "1.6.0"

[[DualNumbers]]
deps = ["Calculus", "NaNMath", "SpecialFunctions"]
git-tree-sha1 = "5837a837389fccf076445fce071c8ddaea35a566"
uuid = "fa6b7ba4-c1ee-5f82-b5fc-ecf0adba8f74"
version = "0.6.8"

[[EarCut_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "3f3a2501fa7236e9b911e0f7a588c657e822bb6d"
uuid = "5ae413db-bbd1-5e63-b57d-d24a61df00f5"
version = "2.2.3+0"

[[Expat_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "bad72f730e9e91c08d9427d5e8db95478a3c323d"
uuid = "2e619515-83b5-522b-bb60-26c02a35a201"
version = "2.4.8+0"

[[ExponentialUtilities]]
deps = ["ArrayInterfaceCore", "GPUArraysCore", "GenericSchur", "LinearAlgebra", "Printf", "SparseArrays", "libblastrampoline_jll"]
git-tree-sha1 = "b40c9037e1a33990466bc5d224ced34b34eebdb0"
uuid = "d4d017d3-3776-5f7e-afef-a10c40355c18"
version = "1.18.0"

[[EzXML]]
deps = ["Printf", "XML2_jll"]
git-tree-sha1 = "0fa3b52a04a4e210aeb1626def9c90df3ae65268"
uuid = "8f5d6c58-4d21-5cfd-889c-e3ad7ee6a615"
version = "1.1.0"

[[FFMPEG]]
deps = ["FFMPEG_jll"]
git-tree-sha1 = "b57e3acbe22f8484b4b5ff66a7499717fe1a9cc8"
uuid = "c87230d0-a227-11e9-1b43-d7ebe4e7570a"
version = "0.4.1"

[[FFMPEG_jll]]
deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "LAME_jll", "Libdl", "Ogg_jll", "OpenSSL_jll", "Opus_jll", "Pkg", "Zlib_jll", "libaom_jll", "libass_jll", "libfdk_aac_jll", "libvorbis_jll", "x264_jll", "x265_jll"]
git-tree-sha1 = "ccd479984c7838684b3ac204b716c89955c76623"
uuid = "b22a6f82-2f65-5046-a5b2-351ab43fb4e5"
version = "4.4.2+0"

[[FastBroadcast]]
deps = ["ArrayInterface", "ArrayInterfaceCore", "LinearAlgebra", "Polyester", "Static", "StrideArraysCore"]
git-tree-sha1 = "21cdeff41e5a1822c2acd7fc7934c5f450588e00"
uuid = "7034ab61-46d4-4ed7-9d0f-46aef9175898"
version = "0.2.1"

[[FastClosures]]
git-tree-sha1 = "acebe244d53ee1b461970f8910c235b259e772ef"
uuid = "9aa1b823-49e4-5ca5-8b0f-3971ec8bab6a"
version = "0.3.2"

[[FastGaussQuadrature]]
deps = ["LinearAlgebra", "SpecialFunctions", "StaticArrays"]
git-tree-sha1 = "58d83dd5a78a36205bdfddb82b1bb67682e64487"
uuid = "442a2c76-b920-505d-bb47-c5924d526838"
version = "0.4.9"

[[FileIO]]
deps = ["Pkg", "Requires", "UUIDs"]
git-tree-sha1 = "9267e5f50b0e12fdfd5a2455534345c4cf2c7f7a"
uuid = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549"
version = "1.14.0"

[[FileWatching]]
uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"

[[FillArrays]]
deps = ["LinearAlgebra", "Random", "SparseArrays", "Statistics"]
git-tree-sha1 = "246621d23d1f43e3b9c368bf3b72b2331a27c286"
uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
version = "0.13.2"

[[FiniteDiff]]
deps = ["ArrayInterfaceCore", "LinearAlgebra", "Requires", "SparseArrays", "StaticArrays"]
git-tree-sha1 = "e3af8444c9916abed11f4357c2f59b6801e5b376"
uuid = "6a86dc24-6348-571c-b903-95158fe2bd41"
version = "2.13.1"

[[FixedPointNumbers]]
deps = ["Statistics"]
git-tree-sha1 = "335bfdceacc84c5cdf16aadc768aa5ddfc5383cc"
uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93"
version = "0.8.4"

[[Fontconfig_jll]]
deps = ["Artifacts", "Bzip2_jll", "Expat_jll", "FreeType2_jll", "JLLWrappers", "Libdl", "Libuuid_jll", "Pkg", "Zlib_jll"]
git-tree-sha1 = "21efd19106a55620a188615da6d3d06cd7f6ee03"
uuid = "a3f928ae-7b40-5064-980b-68af3947d34b"
version = "2.13.93+0"

[[Formatting]]
deps = ["Printf"]
git-tree-sha1 = "8339d61043228fdd3eb658d86c926cb282ae72a8"
uuid = "59287772-0a20-5a39-b81b-1366585eb4c0"
version = "0.4.2"

[[ForwardDiff]]
deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "LogExpFunctions", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions", "StaticArrays"]
git-tree-sha1 = "2f18915445b248731ec5db4e4a17e451020bf21e"
uuid = "f6369f11-7733-5829-9624-2563aa707210"
version = "0.10.30"

[[FreeType]]
deps = ["CEnum", "FreeType2_jll"]
git-tree-sha1 = "cabd77ab6a6fdff49bfd24af2ebe76e6e018a2b4"
uuid = "b38be410-82b0-50bf-ab77-7b57e271db43"
version = "4.0.0"

[[FreeType2_jll]]
deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "87eb71354d8ec1a96d4a7636bd57a7347dde3ef9"
uuid = "d7e528f0-a631-5988-bf34-fe36492bcfd7"
version = "2.10.4+0"

[[FreeTypeAbstraction]]
deps = ["ColorVectorSpace", "Colors", "FreeType", "GeometryBasics"]
git-tree-sha1 = "b5c7fe9cea653443736d264b85466bad8c574f4a"
uuid = "663a7486-cb36-511b-a19d-713bb74d65c9"
version = "0.9.9"

[[FriBidi_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "aa31987c2ba8704e23c6c8ba8a4f769d5d7e4f91"
uuid = "559328eb-81f9-559d-9380-de523a88c83c"
version = "1.0.10+0"

[[FunctionWrappers]]
git-tree-sha1 = "241552bc2209f0fa068b6415b1942cc0aa486bcc"
uuid = "069b7b12-0de2-55c6-9aab-29f3d0a68a2e"
version = "1.1.2"

[[Future]]
deps = ["Random"]
uuid = "9fa8497b-333b-5362-9e8d-4d0656e87820"

[[GLFW_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libglvnd_jll", "Pkg", "Xorg_libXcursor_jll", "Xorg_libXi_jll", "Xorg_libXinerama_jll", "Xorg_libXrandr_jll"]
git-tree-sha1 = "51d2dfe8e590fbd74e7a842cf6d13d8a2f45dc01"
uuid = "0656b61e-2033-5cc2-a64a-77c0f6c09b89"
version = "3.3.6+0"

[[GPUArraysCore]]
deps = ["Adapt"]
git-tree-sha1 = "4078d3557ab15dd9fe6a0cf6f65e3d4937e98427"
uuid = "46192b85-c4d5-4398-a991-12ede77f4527"
version = "0.1.0"

[[GR]]
deps = ["Base64", "DelimitedFiles", "GR_jll", "HTTP", "JSON", "Libdl", "LinearAlgebra", "Pkg", "Printf", "Random", "RelocatableFolders", "Serialization", "Sockets", "Test", "UUIDs"]
git-tree-sha1 = "037a1ca47e8a5989cc07d19729567bb71bfabd0c"
uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71"
version = "0.66.0"

[[GR_jll]]
deps = ["Artifacts", "Bzip2_jll", "Cairo_jll", "FFMPEG_jll", "Fontconfig_jll", "GLFW_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pixman_jll", "Pkg", "Qt5Base_jll", "Zlib_jll", "libpng_jll"]
git-tree-sha1 = "c8ab731c9127cd931c93221f65d6a1008dad7256"
uuid = "d2c73de3-f751-5644-a686-071e5b155ba9"
version = "0.66.0+0"

[[GenericSchur]]
deps = ["LinearAlgebra", "Printf"]
git-tree-sha1 = "fb69b2a645fa69ba5f474af09221b9308b160ce6"
uuid = "c145ed77-6b09-5dd9-b285-bf645a82121e"
version = "0.5.3"

[[GeometryBasics]]
deps = ["EarCut_jll", "IterTools", "LinearAlgebra", "StaticArrays", "StructArrays", "Tables"]
git-tree-sha1 = "83ea630384a13fc4f002b77690bc0afeb4255ac9"
uuid = "5c1252a2-5f33-56bf-86c9-59e7332b4326"
version = "0.4.2"

[[Gettext_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "XML2_jll"]
git-tree-sha1 = "9b02998aba7bf074d14de89f9d37ca24a1a0b046"
uuid = "78b55507-aeef-58d4-861c-77aaff3498b1"
version = "0.21.0+0"

[[Glib_jll]]
deps = ["Artifacts", "Gettext_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Libiconv_jll", "Libmount_jll", "PCRE_jll", "Pkg", "Zlib_jll"]
git-tree-sha1 = "a32d672ac2c967f3deb8a81d828afc739c838a06"
uuid = "7746bdde-850d-59dc-9ae8-88ece973131d"
version = "2.68.3+2"

[[Graphite2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "344bf40dcab1073aca04aa0df4fb092f920e4011"
uuid = "3b182d85-2403-5c21-9c21-1e1f0cc25472"
version = "1.3.14+0"

[[Graphs]]
deps = ["ArnoldiMethod", "Compat", "DataStructures", "Distributed", "Inflate", "LinearAlgebra", "Random", "SharedArrays", "SimpleTraits", "SparseArrays", "Statistics"]
git-tree-sha1 = "db5c7e27c0d46fd824d470a3c32a4fc6c935fa96"
uuid = "86223c79-3864-5bf0-83f7-82e725a168b6"
version = "1.7.1"

[[Grisu]]
git-tree-sha1 = "53bb909d1151e57e2484c3d1b53e19552b887fb2"
uuid = "42e2da0e-8278-4e71-bc24-59509adca0fe"
version = "1.0.2"

[[HTTP]]
deps = ["Base64", "CodecZlib", "Dates", "IniFile", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"]
git-tree-sha1 = "bd11d3220f89382f3116ed34c92badaa567239c9"
uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3"
version = "1.0.5"

[[HarfBuzz_jll]]
deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg"]
git-tree-sha1 = "129acf094d168394e80ee1dc4bc06ec835e510a3"
uuid = "2e76f6c2-a576-52d4-95c1-20adfe4de566"
version = "2.8.1+1"

[[HostCPUFeatures]]
deps = ["BitTwiddlingConvenienceFunctions", "IfElse", "Libdl", "Static"]
git-tree-sha1 = "b7b88a4716ac33fe31d6556c02fc60017594343c"
uuid = "3e5b6fbb-0976-4d2c-9146-d79de83f2fb0"
version = "0.1.8"

[[HypergeometricFunctions]]
deps = ["DualNumbers", "LinearAlgebra", "SpecialFunctions", "Test"]
git-tree-sha1 = "cb7099a0109939f16a4d3b572ba8396b1f6c7c31"
uuid = "34004b35-14d8-5ef3-9330-4cdb6864b03a"
version = "0.3.10"

[[IfElse]]
git-tree-sha1 = "debdd00ffef04665ccbb3e150747a77560e8fad1"
uuid = "615f187c-cbe4-4ef1-ba3b-2fcf58d6d173"
version = "0.1.1"

[[Inflate]]
git-tree-sha1 = "f5fc07d4e706b84f72d54eedcc1c13d92fb0871c"
uuid = "d25df0c9-e2be-5dd7-82c8-3ad0b3e990b9"
version = "0.1.2"

[[IniFile]]
git-tree-sha1 = "f550e6e32074c939295eb5ea6de31849ac2c9625"
uuid = "83e8ac13-25f8-5344-8a64-a9f2b223428f"
version = "0.5.1"

[[InteractiveUtils]]
deps = ["Markdown"]
uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"

[[Interpolations]]
deps = ["AxisAlgorithms", "ChainRulesCore", "LinearAlgebra", "OffsetArrays", "Random", "Ratios", "Requires", "SharedArrays", "SparseArrays", "StaticArrays", "WoodburyMatrices"]
git-tree-sha1 = "b7bc05649af456efc75d178846f47006c2c4c3c7"
uuid = "a98d9a8b-a2ab-59e6-89dd-64a1c18fca59"
version = "0.13.6"

[[InverseFunctions]]
deps = ["Test"]
git-tree-sha1 = "b3364212fb5d870f724876ffcd34dd8ec6d98918"
uuid = "3587e190-3f89-42d0-90ee-14403ec27112"
version = "0.1.7"

[[IrrationalConstants]]
git-tree-sha1 = "7fd44fd4ff43fc60815f8e764c0f352b83c49151"
uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
version = "0.1.1"

[[IterTools]]
git-tree-sha1 = "fa6287a4469f5e048d763df38279ee729fbd44e5"
uuid = "c8e1da08-722c-5040-9ed9-7db0dc04731e"
version = "1.4.0"

[[IterativeSolvers]]
deps = ["LinearAlgebra", "Printf", "Random", "RecipesBase", "SparseArrays"]
git-tree-sha1 = "1169632f425f79429f245113b775a0e3d121457c"
uuid = "42fd0dbc-a981-5370-80f2-aaf504508153"
version = "0.9.2"

[[IteratorInterfaceExtensions]]
git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856"
uuid = "82899510-4779-5014-852e-03e436cf321d"
version = "1.0.0"

[[JLLWrappers]]
deps = ["Preferences"]
git-tree-sha1 = "abc9885a7ca2052a736a600f7fa66209f96506e1"
uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
version = "1.4.1"

[[JSON]]
deps = ["Dates", "Mmap", "Parsers", "Unicode"]
git-tree-sha1 = "3c837543ddb02250ef42f4738347454f95079d4e"
uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
version = "0.21.3"

[[JpegTurbo_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "b53380851c6e6664204efb2e62cd24fa5c47e4ba"
uuid = "aacddb02-875f-59d6-b918-886e6ef4fbf8"
version = "2.1.2+0"

[[JumpProcesses]]
deps = ["ArrayInterfaceCore", "DataStructures", "DiffEqBase", "DocStringExtensions", "FunctionWrappers", "Graphs", "LinearAlgebra", "Markdown", "PoissonRandom", "Random", "RandomNumbers", "RecursiveArrayTools", "Reexport", "SciMLBase", "StaticArrays", "TreeViews", "UnPack"]
git-tree-sha1 = "4aa139750616fee7216ddcb30652357c60c3683e"
uuid = "ccbc3e58-028d-4f4c-8cd5-9ae44345cda5"
version = "9.0.1"

[[KLU]]
deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse_jll"]
git-tree-sha1 = "cae5e3dfd89b209e01bcd65b3a25e74462c67ee0"
uuid = "ef3ab10e-7fda-4108-b977-705223b18434"
version = "0.3.0"

[[Krylov]]
deps = ["LinearAlgebra", "Printf", "SparseArrays"]
git-tree-sha1 = "7f0a89bd74c30aa7ff96c4bf1bc884c39663a621"
uuid = "ba0b0d4f-ebba-5204-a429-3ac8c609bfb7"
version = "0.8.2"

[[KrylovKit]]
deps = ["LinearAlgebra", "Printf"]
git-tree-sha1 = "49b0c1dd5c292870577b8f58c51072bd558febb9"
uuid = "0b1a1467-8014-51b9-945f-bf0ae24f4b77"
version = "0.5.4"

[[LAME_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "f6250b16881adf048549549fba48b1161acdac8c"
uuid = "c1c5ebd0-6772-5130-a774-d5fcae4a789d"
version = "3.100.1+0"

[[LERC_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "bf36f528eec6634efc60d7ec062008f171071434"
uuid = "88015f11-f218-50d7-93a8-a6af411a945d"
version = "3.0.0+1"

[[LZO_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "e5b909bcf985c5e2605737d2ce278ed791b89be6"
uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac"
version = "2.10.1+0"

[[LaTeXStrings]]
git-tree-sha1 = "f2355693d6778a178ade15952b7ac47a4ff97996"
uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
version = "1.3.0"

[[Latexify]]
deps = ["Formatting", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "Printf", "Requires"]
git-tree-sha1 = "46a39b9c58749eefb5f2dc1178cb8fab5332b1ab"
uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
version = "0.15.15"

[[LayoutPointers]]
deps = ["ArrayInterface", "ArrayInterfaceOffsetArrays", "ArrayInterfaceStaticArrays", "LinearAlgebra", "ManualMemory", "SIMDTypes", "Static"]
git-tree-sha1 = "b67e749fb35530979839e7b4b606a97105fe4f1c"
uuid = "10f19ff3-798f-405d-979b-55457f8fc047"
version = "0.1.10"

[[LazyArrays]]
deps = ["ArrayLayouts", "FillArrays", "LinearAlgebra", "MacroTools", "MatrixFactorizations", "SparseArrays", "StaticArrays"]
git-tree-sha1 = "d9a962fac652cc6b0224622b18199f0ed46d316a"
uuid = "5078a376-72f3-5289-bfd5-ec5146d43c02"
version = "0.22.11"

[[LazyModules]]
git-tree-sha1 = "a560dd966b386ac9ae60bdd3a3d3a326062d3c3e"
uuid = "8cdb02fc-e678-4876-92c5-9defec4f444e"
version = "0.3.1"

[[LevyArea]]
deps = ["LinearAlgebra", "Random", "SpecialFunctions"]
git-tree-sha1 = "56513a09b8e0ae6485f34401ea9e2f31357958ec"
uuid = "2d8b4e74-eb68-11e8-0fb9-d5eb67b50637"
version = "1.0.0"

[[LibCURL]]
deps = ["LibCURL_jll", "MozillaCACerts_jll"]
uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"
version = "0.6.3"

[[LibCURL_jll]]
deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"
version = "7.83.1+1"

[[LibGit2]]
deps = ["Base64", "NetworkOptions", "Printf", "SHA"]
uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"

[[LibSSH2_jll]]
deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"
version = "1.10.2+0"

[[Libdl]]
uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"

[[Libffi_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "0b4a5d71f3e5200a7dff793393e09dfc2d874290"
uuid = "e9f186c6-92d2-5b65-8a66-fee21dc1b490"
version = "3.2.2+1"

[[Libgcrypt_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgpg_error_jll", "Pkg"]
git-tree-sha1 = "64613c82a59c120435c067c2b809fc61cf5166ae"
uuid = "d4300ac3-e22c-5743-9152-c294e39db1e4"
version = "1.8.7+0"

[[Libglvnd_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll", "Xorg_libXext_jll"]
git-tree-sha1 = "7739f837d6447403596a75d19ed01fd08d6f56bf"
uuid = "7e76a0d4-f3c7-5321-8279-8d96eeed0f29"
version = "1.3.0+3"

[[Libgpg_error_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "c333716e46366857753e273ce6a69ee0945a6db9"
uuid = "7add5ba3-2f88-524e-9cd5-f83b8a55f7b8"
version = "1.42.0+0"

[[Libiconv_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "42b62845d70a619f063a7da093d995ec8e15e778"
uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531"
version = "1.16.1+1"

[[Libmount_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "9c30530bf0effd46e15e0fdcf2b8636e78cbbd73"
uuid = "4b2f31a3-9ecc-558c-b454-b3730dcb73e9"
version = "2.35.0+0"

[[Libtiff_jll]]
deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "LERC_jll", "Libdl", "Pkg", "Zlib_jll", "Zstd_jll"]
git-tree-sha1 = "3eb79b0ca5764d4799c06699573fd8f533259713"
uuid = "89763e89-9b03-5906-acba-b20f662cd828"
version = "4.4.0+0"

[[Libuuid_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "7f3efec06033682db852f8b3bc3c1d2b0a0ab066"
uuid = "38a345b3-de98-5d2b-a5d3-14cd9215e700"
version = "2.36.0+0"

[[LineSearches]]
deps = ["LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "Printf"]
git-tree-sha1 = "f27132e551e959b3667d8c93eae90973225032dd"
uuid = "d3d80556-e9d4-5f37-9878-2ab0fcc64255"
version = "7.1.1"

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

[[LinearSolve]]
deps = ["ArrayInterfaceCore", "DocStringExtensions", "GPUArraysCore", "IterativeSolvers", "KLU", "Krylov", "KrylovKit", "LinearAlgebra", "RecursiveFactorization", "Reexport", "SciMLBase", "Setfield", "SparseArrays", "SuiteSparse", "UnPack"]
git-tree-sha1 = "c08c4177cc7edbf42a92f08a04bf848dde73f0b9"
uuid = "7ed4a6bd-45f5-4d41-b270-4a48e9bafcae"
version = "1.20.0"

[[LogExpFunctions]]
deps = ["ChainRulesCore", "ChangesOfVariables", "DocStringExtensions", "InverseFunctions", "IrrationalConstants", "LinearAlgebra"]
git-tree-sha1 = "09e4b894ce6a976c354a69041a04748180d43637"
uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
version = "0.3.15"

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

[[LoggingExtras]]
deps = ["Dates", "Logging"]
git-tree-sha1 = "5d4d2d9904227b8bd66386c1138cf4d5ffa826bf"
uuid = "e6f89c97-d47a-5376-807f-9c37f3926c36"
version = "0.4.9"

[[LoopVectorization]]
deps = ["ArrayInterface", "ArrayInterfaceCore", "ArrayInterfaceOffsetArrays", "ArrayInterfaceStaticArrays", "CPUSummary", "ChainRulesCore", "CloseOpenIntervals", "DocStringExtensions", "ForwardDiff", "HostCPUFeatures", "IfElse", "LayoutPointers", "LinearAlgebra", "OffsetArrays", "PolyesterWeave", "SIMDDualNumbers", "SIMDTypes", "SLEEFPirates", "SpecialFunctions", "Static", "ThreadingUtilities", "UnPack", "VectorizationBase"]
git-tree-sha1 = "7bf979d315193570cc2b79b4d2eb4595d68b9352"
uuid = "bdcacae8-1622-11e9-2a5c-532679323890"
version = "0.12.119"

[[LsqFit]]
deps = ["Distributions", "ForwardDiff", "LinearAlgebra", "NLSolversBase", "OptimBase", "Random", "StatsBase"]
git-tree-sha1 = "91aa1442e63a77f101aff01dec5a821a17f43922"
uuid = "2fda8390-95c7-5789-9bda-21331edee243"
version = "0.12.1"

[[MacroTools]]
deps = ["Markdown", "Random"]
git-tree-sha1 = "3d3e902b31198a27340d0bf00d6ac452866021cf"
uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
version = "0.5.9"

[[ManualMemory]]
git-tree-sha1 = "bcaef4fc7a0cfe2cba636d84cda54b5e4e4ca3cd"
uuid = "d125e4d3-2237-4719-b19c-fa641b8a4667"
version = "0.1.8"

[[MarchingCubes]]
deps = ["StaticArrays"]
git-tree-sha1 = "3bf4baa9df7d1367168ebf60ed02b0379ea91099"
uuid = "299715c1-40a9-479a-aaf9-4a633d36f717"
version = "0.1.3"

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

[[MatrixFactorizations]]
deps = ["ArrayLayouts", "LinearAlgebra", "Printf", "Random"]
git-tree-sha1 = "2212d36f97e01347adb1460a6914e20f2feee853"
uuid = "a3b82374-2e81-5b9e-98ce-41277c0e4c87"
version = "0.9.1"

[[MbedTLS]]
deps = ["Dates", "MbedTLS_jll", "MozillaCACerts_jll", "Random", "Sockets"]
git-tree-sha1 = "891d3b4e8f8415f53108b4918d0183e61e18015b"
uuid = "739be429-bea8-5141-9913-cc70e7f3736d"
version = "1.1.0"

[[MbedTLS_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
version = "2.28.0+0"

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

[[Memoize]]
deps = ["MacroTools"]
git-tree-sha1 = "2b1dfcba103de714d31c033b5dacc2e4a12c7caa"
uuid = "c03570c3-d221-55d1-a50c-7939bbd78826"
version = "0.4.4"

[[Missings]]
deps = ["DataAPI"]
git-tree-sha1 = "bf210ce90b6c9eed32d25dbcae1ebc565df2687f"
uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
version = "1.0.2"

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

[[MortalityTables]]
deps = ["Memoize", "OffsetArrays", "Parsers", "Pkg", "QuadGK", "Requires", "StringDistances", "UnPack", "XMLDict"]
git-tree-sha1 = "8ae1af8a53147c592a95fbce9fd37dda2a50355f"
uuid = "4780e19d-04b9-53dc-86c2-9e9aa59b5a12"
version = "2.3.0"

[[MozillaCACerts_jll]]
uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
version = "2022.2.1"

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

[[NLSolversBase]]
deps = ["DiffResults", "Distributed", "FiniteDiff", "ForwardDiff"]
git-tree-sha1 = "50310f934e55e5ca3912fb941dec199b49ca9b68"
uuid = "d41bc354-129a-5804-8e4c-c37616107c6c"
version = "7.8.2"

[[NLsolve]]
deps = ["Distances", "LineSearches", "LinearAlgebra", "NLSolversBase", "Printf", "Reexport"]
git-tree-sha1 = "019f12e9a1a7880459d0173c182e6a99365d7ac1"
uuid = "2774e3e8-f4cf-5e23-947b-6d7e65073b56"
version = "4.5.1"

[[NaNMath]]
git-tree-sha1 = "b086b7ea07f8e38cf122f5016af580881ac914fe"
uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
version = "0.3.7"

[[NetworkOptions]]
uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908"
version = "1.2.0"

[[NonlinearSolve]]
deps = ["ArrayInterfaceCore", "FiniteDiff", "ForwardDiff", "IterativeSolvers", "LinearAlgebra", "RecursiveArrayTools", "RecursiveFactorization", "Reexport", "SciMLBase", "Setfield", "StaticArrays", "UnPack"]
git-tree-sha1 = "932bbdc22e6a2e0bae8dec35d32e4c8cb6c50f98"
uuid = "8913a72c-1f9b-4ce2-8d82-65094dcecaec"
version = "0.3.21"

[[OffsetArrays]]
deps = ["Adapt"]
git-tree-sha1 = "1ea784113a6aa054c5ebd95945fa5e52c2f378e7"
uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
version = "1.12.7"

[[Ogg_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "887579a3eb005446d514ab7aeac5d1d027658b8f"
uuid = "e7412a2a-1a6e-54c0-be00-318e2571c051"
version = "1.3.5+1"

[[OpenBLAS_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
version = "0.3.20+0"

[[OpenLibm_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "05823500-19ac-5b8b-9628-191a04bc5112"
version = "0.8.1+0"

[[OpenSSL_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "e60321e3f2616584ff98f0a4f18d98ae6f89bbb3"
uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
version = "1.1.17+0"

[[OpenSpecFun_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1"
uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e"
version = "0.5.5+0"

[[Optim]]
deps = ["Compat", "FillArrays", "ForwardDiff", "LineSearches", "LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "PositiveFactorizations", "Printf", "SparseArrays", "StatsBase"]
git-tree-sha1 = "7a28efc8e34d5df89fc87343318b0a8add2c4021"
uuid = "429524aa-4258-5aef-a3af-852621145aeb"
version = "1.7.0"

[[OptimBase]]
deps = ["NLSolversBase", "Printf", "Reexport"]
git-tree-sha1 = "9cb1fee807b599b5f803809e85c81b582d2009d6"
uuid = "87e2bd06-a317-5318-96d9-3ecbac512eee"
version = "2.0.2"

[[Opus_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "51a08fb14ec28da2ec7a927c4337e4332c2a4720"
uuid = "91d4177d-7536-5919-b921-800302f37372"
version = "1.3.2+0"

[[OrderedCollections]]
git-tree-sha1 = "85f8e6578bf1f9ee0d11e7bb1b1456435479d47c"
uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
version = "1.4.1"

[[OrdinaryDiffEq]]
deps = ["Adapt", "ArrayInterface", "ArrayInterfaceGPUArrays", "ArrayInterfaceStaticArrays", "DataStructures", "DiffEqBase", "DocStringExtensions", "ExponentialUtilities", "FastBroadcast", "FastClosures", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "LinearSolve", "Logging", "LoopVectorization", "MacroTools", "MuladdMacro", "NLsolve", "NonlinearSolve", "Polyester", "PreallocationTools", "RecursiveArrayTools", "Reexport", "SciMLBase", "SparseArrays", "SparseDiffTools", "StaticArrays", "UnPack"]
git-tree-sha1 = "062f233b13f04aa942bd3ca831791280f57874a3"
uuid = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
version = "6.18.1"

[[PCRE_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "b2a7af664e098055a7529ad1a900ded962bca488"
uuid = "2f80f16e-611a-54ab-bc61-aa92de5b98fc"
version = "8.44.0+0"

[[PDMats]]
deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
git-tree-sha1 = "cf494dca75a69712a72b80bc48f59dcf3dea63ec"
uuid = "90014a1f-27ba-587c-ab20-58faa44d9150"
version = "0.11.16"

[[Parameters]]
deps = ["OrderedCollections", "UnPack"]
git-tree-sha1 = "34c0e9ad262e5f7fc75b10a9952ca7692cfc5fbe"
uuid = "d96e819e-fc66-5662-9728-84c9c7592b0a"
version = "0.12.3"

[[Parsers]]
deps = ["Dates"]
git-tree-sha1 = "0044b23da09b5608b4ecacb4e5e6c6332f833a7e"
uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
version = "2.3.2"

[[Pixman_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "b4f5d02549a10e20780a24fce72bea96b6329e29"
uuid = "30392449-352a-5448-841d-b1acce4e97dc"
version = "0.40.1+0"

[[Pkg]]
deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"]
uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
version = "1.8.0"

[[PlotThemes]]
deps = ["PlotUtils", "Statistics"]
git-tree-sha1 = "8162b2f8547bc23876edd0c5181b27702ae58dce"
uuid = "ccf2f8ad-2431-5c83-bf29-c5338b663b6a"
version = "3.0.0"

[[PlotUtils]]
deps = ["ColorSchemes", "Colors", "Dates", "Printf", "Random", "Reexport", "Statistics"]
git-tree-sha1 = "9888e59493658e476d3073f1ce24348bdc086660"
uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
version = "1.3.0"

[[Plots]]
deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "GeometryBasics", "JSON", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "Requires", "Scratch", "Showoff", "SparseArrays", "Statistics", "StatsBase", "UUIDs", "UnicodeFun", "Unzip"]
git-tree-sha1 = "b29873144e57f9fcf8d41d107138a4378e035298"
uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
version = "1.31.2"

[[PoissonRandom]]
deps = ["Random"]
git-tree-sha1 = "9ac1bb7c15c39620685a3a7babc0651f5c64c35b"
uuid = "e409e4f3-bfea-5376-8464-e040bb5c01ab"
version = "0.4.1"

[[Polyester]]
deps = ["ArrayInterface", "BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "ManualMemory", "PolyesterWeave", "Requires", "Static", "StrideArraysCore", "ThreadingUtilities"]
git-tree-sha1 = "97bbf8dc886d67ff0dd1f56cfc0ee18b7bb7f8ce"
uuid = "f517fe37-dbe3-4b94-8317-1923a5111588"
version = "0.6.13"

[[PolyesterWeave]]
deps = ["BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "Static", "ThreadingUtilities"]
git-tree-sha1 = "4cd738fca4d826bef1a87cbe43196b34fa205e6d"
uuid = "1d0040c9-8b98-4ee7-8388-3f51789ca0ad"
version = "0.1.6"

[[PositiveFactorizations]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "17275485f373e6673f7e7f97051f703ed5b15b20"
uuid = "85a6dd25-e78a-55b7-8502-1745935b8125"
version = "0.2.4"

[[PreallocationTools]]
deps = ["Adapt", "ArrayInterfaceCore", "ForwardDiff"]
git-tree-sha1 = "ba66bf03b84ca3bd0a26aa2bbe96cd9df2f4f9b9"
uuid = "d236fae5-4411-538c-8e31-a6e3d9e00b46"
version = "0.4.0"

[[Preferences]]
deps = ["TOML"]
git-tree-sha1 = "47e5f437cc0e7ef2ce8406ce1e7e24d44915f88d"
uuid = "21216c6a-2e73-6563-6e65-726566657250"
version = "1.3.0"

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

[[Qt5Base_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "Fontconfig_jll", "Glib_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "OpenSSL_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libxcb_jll", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_keysyms_jll", "Xorg_xcb_util_renderutil_jll", "Xorg_xcb_util_wm_jll", "Zlib_jll", "xkbcommon_jll"]
git-tree-sha1 = "c6c0f690d0cc7caddb74cef7aa847b824a16b256"
uuid = "ea2cea3b-5b76-57ae-a6ef-0a8af62496e1"
version = "5.15.3+1"

[[QuadGK]]
deps = ["DataStructures", "LinearAlgebra"]
git-tree-sha1 = "78aadffb3efd2155af139781b8a8df1ef279ea39"
uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
version = "2.4.2"

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

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

[[Random123]]
deps = ["Random", "RandomNumbers"]
git-tree-sha1 = "afeacaecf4ed1649555a19cb2cad3c141bbc9474"
uuid = "74087812-796a-5b5d-8853-05524746bad3"
version = "1.5.0"

[[RandomNumbers]]
deps = ["Random", "Requires"]
git-tree-sha1 = "043da614cc7e95c703498a491e2c21f58a2b8111"
uuid = "e6cf234a-135c-5ec9-84dd-332b85af5143"
version = "1.5.3"

[[Ratios]]
deps = ["Requires"]
git-tree-sha1 = "dc84268fe0e3335a62e315a3a7cf2afa7178a734"
uuid = "c84ed2f1-dad5-54f0-aa8e-dbefe2724439"
version = "0.4.3"

[[RecipesBase]]
git-tree-sha1 = "6bf3f380ff52ce0832ddd3a2a7b9538ed1bcca7d"
uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
version = "1.2.1"

[[RecipesPipeline]]
deps = ["Dates", "NaNMath", "PlotUtils", "RecipesBase"]
git-tree-sha1 = "2690681814016887462cf5ac37102b51cd9ec781"
uuid = "01d81517-befc-4cb6-b9ec-a95719d0359c"
version = "0.6.2"

[[RecursiveArrayTools]]
deps = ["Adapt", "ArrayInterfaceCore", "ArrayInterfaceStaticArraysCore", "ChainRulesCore", "DocStringExtensions", "FillArrays", "GPUArraysCore", "LinearAlgebra", "RecipesBase", "StaticArraysCore", "Statistics", "ZygoteRules"]
git-tree-sha1 = "7a5f08bdeb79cf3f8ce60125fe1b2a04041c1d26"
uuid = "731186ca-8d62-57ce-b412-fbd966d074cd"
version = "2.31.1"

[[RecursiveFactorization]]
deps = ["LinearAlgebra", "LoopVectorization", "Polyester", "StrideArraysCore", "TriangularSolve"]
git-tree-sha1 = "3ee71214057e29a8466f5d70cfe745236aa1d9d7"
uuid = "f2c3362d-daeb-58d1-803e-2bc74f2840b4"
version = "0.2.11"

[[Reexport]]
git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b"
uuid = "189a3867-3050-52da-a836-e630ba90ab69"
version = "1.2.2"

[[RelocatableFolders]]
deps = ["SHA", "Scratch"]
git-tree-sha1 = "22c5201127d7b243b9ee1de3b43c408879dff60f"
uuid = "05181044-ff0b-4ac5-8273-598c1e38db00"
version = "0.3.0"

[[Requires]]
deps = ["UUIDs"]
git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7"
uuid = "ae029012-a4dd-5104-9daa-d747884805df"
version = "1.3.0"

[[ResettableStacks]]
deps = ["StaticArrays"]
git-tree-sha1 = "256eeeec186fa7f26f2801732774ccf277f05db9"
uuid = "ae5879a3-cd67-5da8-be7f-38c6eb64a37b"
version = "1.1.1"

[[Rmath]]
deps = ["Random", "Rmath_jll"]
git-tree-sha1 = "bf3188feca147ce108c76ad82c2792c57abe7b1f"
uuid = "79098fc4-a85e-5d69-aa6a-4863f24498fa"
version = "0.7.0"

[[Rmath_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "68db32dff12bb6127bac73c209881191bf0efbb7"
uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f"
version = "0.3.0+0"

[[Roots]]
deps = ["CommonSolve", "Printf", "Setfield"]
git-tree-sha1 = "838b60ee62bebc794864c880a47e331e00c47505"
uuid = "f2b01f46-fcfa-551c-844a-d8ac1e96c665"
version = "1.4.1"

[[SHA]]
uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce"
version = "0.7.0"

[[SIMDDualNumbers]]
deps = ["ForwardDiff", "IfElse", "SLEEFPirates", "VectorizationBase"]
git-tree-sha1 = "dd4195d308df24f33fb10dde7c22103ba88887fa"
uuid = "3cdde19b-5bb0-4aaf-8931-af3e248e098b"
version = "0.1.1"

[[SIMDTypes]]
git-tree-sha1 = "330289636fb8107c5f32088d2741e9fd7a061a5c"
uuid = "94e857df-77ce-4151-89e5-788b33177be4"
version = "0.1.0"

[[SLEEFPirates]]
deps = ["IfElse", "Static", "VectorizationBase"]
git-tree-sha1 = "7ee0e13ac7cd77f2c0e93bff8c40c45f05c77a5a"
uuid = "476501e8-09a2-5ece-8869-fb82de89a1fa"
version = "0.6.33"

[[SciMLBase]]
deps = ["ArrayInterfaceCore", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "RecipesBase", "RecursiveArrayTools", "StaticArraysCore", "Statistics", "Tables", "TreeViews"]
git-tree-sha1 = "55f38a183d472deb6893bdc3a962a13ea10c60e4"
uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
version = "1.42.4"

[[Scratch]]
deps = ["Dates"]
git-tree-sha1 = "0b4b7f1393cff97c33891da2a0bf69c6ed241fda"
uuid = "6c6a2e73-6563-6170-7368-637461726353"
version = "1.1.0"

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

[[Setfield]]
deps = ["ConstructionBase", "Future", "MacroTools", "Requires"]
git-tree-sha1 = "38d88503f695eb0301479bc9b0d4320b378bafe5"
uuid = "efcf1570-3423-57d1-acb7-fd33fddbac46"
version = "0.8.2"

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

[[Showoff]]
deps = ["Dates", "Grisu"]
git-tree-sha1 = "91eddf657aca81df9ae6ceb20b959ae5653ad1de"
uuid = "992d4aef-0814-514b-bc4d-f2e9a6c4116f"
version = "1.0.3"

[[SimpleBufferStream]]
git-tree-sha1 = "874e8867b33a00e784c8a7e4b60afe9e037b74e1"
uuid = "777ac1f9-54b0-4bf8-805c-2214025038e7"
version = "1.1.0"

[[SimpleTraits]]
deps = ["InteractiveUtils", "MacroTools"]
git-tree-sha1 = "5d7e3f4e11935503d3ecaf7186eac40602e7d231"
uuid = "699a6c99-e7fa-54fc-8d76-47d257e15c1d"
version = "0.9.4"

[[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 = ["DelimitedFiles", "Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"]
uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"

[[SparseDiffTools]]
deps = ["Adapt", "ArrayInterfaceCore", "ArrayInterfaceStaticArrays", "Compat", "DataStructures", "FiniteDiff", "ForwardDiff", "Graphs", "LinearAlgebra", "Requires", "SparseArrays", "StaticArrays", "VertexSafeGraphs"]
git-tree-sha1 = "32025c052719c6353f22f7c6de7d7b97b7cd2c88"
uuid = "47a9eef4-7e08-11e9-0b38-333d64bd3804"
version = "1.24.0"

[[SpecialFunctions]]
deps = ["ChainRulesCore", "IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
git-tree-sha1 = "d75bda01f8c31ebb72df80a46c88b25d1c79c56d"
uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
version = "2.1.7"

[[Static]]
deps = ["IfElse"]
git-tree-sha1 = "46638763d3a25ad7818a15d441e0c3446a10742d"
uuid = "aedffcd0-7271-4cad-89d0-dc628f76c6d3"
version = "0.7.5"

[[StaticArrays]]
deps = ["LinearAlgebra", "Random", "StaticArraysCore", "Statistics"]
git-tree-sha1 = "9f8a5dc5944dc7fbbe6eb4180660935653b0a9d9"
uuid = "90137ffa-7385-5640-81b9-e52037218182"
version = "1.5.0"

[[StaticArraysCore]]
git-tree-sha1 = "66fe9eb253f910fe8cf161953880cfdaef01cdf0"
uuid = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
version = "1.0.1"

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

[[StatsAPI]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "2c11d7290036fe7aac9038ff312d3b3a2a5bf89e"
uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
version = "1.4.0"

[[StatsBase]]
deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
git-tree-sha1 = "48598584bacbebf7d30e20880438ed1d24b7c7d6"
uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
version = "0.33.18"

[[StatsFuns]]
deps = ["ChainRulesCore", "HypergeometricFunctions", "InverseFunctions", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"]
git-tree-sha1 = "5783b877201a82fc0014cbf381e7e6eb130473a4"
uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
version = "1.0.1"

[[SteadyStateDiffEq]]
deps = ["DiffEqBase", "DiffEqCallbacks", "LinearAlgebra", "NLsolve", "Reexport", "SciMLBase"]
git-tree-sha1 = "fa04638e98850332978467a085e58aababfa203a"
uuid = "9672c7b4-1e72-59bd-8a11-6ac3964bc41f"
version = "1.8.0"

[[StochasticDiffEq]]
deps = ["Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DiffEqNoiseProcess", "DocStringExtensions", "FillArrays", "FiniteDiff", "ForwardDiff", "JumpProcesses", "LevyArea", "LinearAlgebra", "Logging", "MuladdMacro", "NLsolve", "OrdinaryDiffEq", "Random", "RandomNumbers", "RecursiveArrayTools", "Reexport", "SciMLBase", "SparseArrays", "SparseDiffTools", "StaticArrays", "UnPack"]
git-tree-sha1 = "fbefdd80ccbabf9d7c402dbaf845afde5f4cf33d"
uuid = "789caeaf-c7a9-5a7d-9973-96adeb23e2a0"
version = "6.50.0"

[[StrideArraysCore]]
deps = ["ArrayInterface", "CloseOpenIntervals", "IfElse", "LayoutPointers", "ManualMemory", "SIMDTypes", "Static", "ThreadingUtilities"]
git-tree-sha1 = "ac730bd978bf35f9fe45daa0bd1f51e493e97eb4"
uuid = "7792a7ef-975c-4747-a70f-980b88e8d1da"
version = "0.3.15"

[[StringDistances]]
deps = ["Distances", "StatsAPI"]
git-tree-sha1 = "ceeef74797d961aee825aabf71446d6aba898acb"
uuid = "88034a9c-02f8-509d-84a9-84ec65e18404"
version = "0.11.2"

[[StructArrays]]
deps = ["Adapt", "DataAPI", "StaticArrays", "Tables"]
git-tree-sha1 = "ec47fb6069c57f1cee2f67541bf8f23415146de7"
uuid = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
version = "0.6.11"

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

[[SuiteSparse_jll]]
deps = ["Artifacts", "Libdl", "Pkg", "libblastrampoline_jll"]
uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c"
version = "5.10.1+0"

[[Sundials]]
deps = ["CEnum", "DataStructures", "DiffEqBase", "Libdl", "LinearAlgebra", "Logging", "Reexport", "SparseArrays", "Sundials_jll"]
git-tree-sha1 = "6549d3b1b5cf86446949c62616675588159ea2fb"
uuid = "c3572dad-4567-51f8-b174-8c6c989267f4"
version = "4.9.4"

[[Sundials_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "OpenBLAS_jll", "Pkg", "SuiteSparse_jll"]
git-tree-sha1 = "04777432d74ec5bc91ca047c9e0e0fd7f81acdb6"
uuid = "fb77eaff-e24c-56d4-86b1-d163f2edb164"
version = "5.2.1+0"

[[TOML]]
deps = ["Dates"]
uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
version = "1.0.0"

[[TableTraits]]
deps = ["IteratorInterfaceExtensions"]
git-tree-sha1 = "c06b2f539df1c6efa794486abfb6ed2022561a39"
uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c"
version = "1.0.1"

[[Tables]]
deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "OrderedCollections", "TableTraits", "Test"]
git-tree-sha1 = "5ce79ce186cc678bbb5c5681ca3379d1ddae11a1"
uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
version = "1.7.0"

[[Tar]]
deps = ["ArgTools", "SHA"]
uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e"
version = "1.10.0"

[[TensorCore]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "1feb45f88d133a655e001435632f019a9a1bcdb6"
uuid = "62fd8b95-f654-4bbd-a8a5-9c27f68ccd50"
version = "0.1.1"

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

[[ThreadingUtilities]]
deps = ["ManualMemory"]
git-tree-sha1 = "f8629df51cab659d70d2e5618a430b4d3f37f2c3"
uuid = "8290d209-cae3-49c0-8002-c8c24d57dab5"
version = "0.5.0"

[[TranscodingStreams]]
deps = ["Random", "Test"]
git-tree-sha1 = "216b95ea110b5972db65aa90f88d8d89dcb8851c"
uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
version = "0.9.6"

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

[[TriangularSolve]]
deps = ["CloseOpenIntervals", "IfElse", "LayoutPointers", "LinearAlgebra", "LoopVectorization", "Polyester", "Static", "VectorizationBase"]
git-tree-sha1 = "caf797b6fccbc0d080c44b4cb2319faf78c9d058"
uuid = "d5829a12-d9aa-46ab-831f-fb7c9ab06edf"
version = "0.1.12"

[[URIs]]
git-tree-sha1 = "97bbe755a53fe859669cd907f2d96aee8d2c1355"
uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4"
version = "1.3.0"

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

[[UnPack]]
git-tree-sha1 = "387c1f73762231e86e0c9c5443ce3b4a0a9a0c2b"
uuid = "3a884ed6-31ef-47d7-9d2a-63182c4928ed"
version = "1.0.2"

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

[[UnicodeFun]]
deps = ["REPL"]
git-tree-sha1 = "53915e50200959667e78a92a418594b428dffddf"
uuid = "1cfade01-22cf-5700-b092-accc4b62d6e1"
version = "0.4.1"

[[UnicodePlots]]
deps = ["ColorTypes", "Contour", "Crayons", "Dates", "FileIO", "FreeTypeAbstraction", "LazyModules", "LinearAlgebra", "MarchingCubes", "NaNMath", "Printf", "SparseArrays", "StaticArrays", "StatsBase", "Unitful"]
git-tree-sha1 = "ae67ab0505b9453655f7d5ea65183a1cd1b3cfa0"
uuid = "b8865327-cd53-5732-bb35-84acbb429228"
version = "2.12.4"

[[Unitful]]
deps = ["ConstructionBase", "Dates", "LinearAlgebra", "Random"]
git-tree-sha1 = "b649200e887a487468b71821e2644382699f1b0f"
uuid = "1986cc42-f94f-5a68-af5c-568840ba703d"
version = "1.11.0"

[[Unzip]]
git-tree-sha1 = "34db80951901073501137bdbc3d5a8e7bbd06670"
uuid = "41fe7b60-77ed-43a1-b4f0-825fd5a5650d"
version = "0.1.2"

[[VectorizationBase]]
deps = ["ArrayInterface", "CPUSummary", "HostCPUFeatures", "IfElse", "LayoutPointers", "Libdl", "LinearAlgebra", "SIMDTypes", "Static"]
git-tree-sha1 = "953ba1475022a4de16439857a8f79831abf5fa30"
uuid = "3d5dd08c-fd9d-11e8-17fa-ed2836048c2f"
version = "0.21.42"

[[VertexSafeGraphs]]
deps = ["Graphs"]
git-tree-sha1 = "8351f8d73d7e880bfc042a8b6922684ebeafb35c"
uuid = "19fa3120-7c27-5ec5-8db8-b0b0aa330d6f"
version = "0.2.0"

[[Wayland_jll]]
deps = ["Artifacts", "Expat_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg", "XML2_jll"]
git-tree-sha1 = "3e61f0b86f90dacb0bc0e73a0c5a83f6a8636e23"
uuid = "a2964d1f-97da-50d4-b82a-358c7fce9d89"
version = "1.19.0+0"

[[Wayland_protocols_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4528479aa01ee1b3b4cd0e6faef0e04cf16466da"
uuid = "2381bf8a-dfd0-557d-9999-79630e7b1b91"
version = "1.25.0+0"

[[WoodburyMatrices]]
deps = ["LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "de67fa59e33ad156a590055375a30b23c40299d3"
uuid = "efce3f68-66dc-5838-9240-27a6d6f5f9b6"
version = "0.5.5"

[[XML2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "Zlib_jll"]
git-tree-sha1 = "58443b63fb7e465a8a7210828c91c08b92132dff"
uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
version = "2.9.14+0"

[[XMLDict]]
deps = ["EzXML", "IterTools", "OrderedCollections"]
git-tree-sha1 = "d9a3faf078210e477b291c79117676fca54da9dd"
uuid = "228000da-037f-5747-90a9-8195ccbf91a5"
version = "0.4.1"

[[XSLT_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "Pkg", "XML2_jll", "Zlib_jll"]
git-tree-sha1 = "91844873c4085240b95e795f692c4cec4d805f8a"
uuid = "aed1982a-8fda-507f-9586-7b0439959a61"
version = "1.1.34+0"

[[Xorg_libX11_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll", "Xorg_xtrans_jll"]
git-tree-sha1 = "5be649d550f3f4b95308bf0183b82e2582876527"
uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc"
version = "1.6.9+4"

[[Xorg_libXau_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4e490d5c960c314f33885790ed410ff3a94ce67e"
uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec"
version = "1.0.9+4"

[[Xorg_libXcursor_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXfixes_jll", "Xorg_libXrender_jll"]
git-tree-sha1 = "12e0eb3bc634fa2080c1c37fccf56f7c22989afd"
uuid = "935fb764-8cf2-53bf-bb30-45bb1f8bf724"
version = "1.2.0+4"

[[Xorg_libXdmcp_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4fe47bd2247248125c428978740e18a681372dd4"
uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
version = "1.1.3+4"

[[Xorg_libXext_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "b7c0aa8c376b31e4852b360222848637f481f8c3"
uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3"
version = "1.3.4+4"

[[Xorg_libXfixes_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "0e0dc7431e7a0587559f9294aeec269471c991a4"
uuid = "d091e8ba-531a-589c-9de9-94069b037ed8"
version = "5.0.3+4"

[[Xorg_libXi_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXfixes_jll"]
git-tree-sha1 = "89b52bc2160aadc84d707093930ef0bffa641246"
uuid = "a51aa0fd-4e3c-5386-b890-e753decda492"
version = "1.7.10+4"

[[Xorg_libXinerama_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll"]
git-tree-sha1 = "26be8b1c342929259317d8b9f7b53bf2bb73b123"
uuid = "d1454406-59df-5ea1-beac-c340f2130bc3"
version = "1.1.4+4"

[[Xorg_libXrandr_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll"]
git-tree-sha1 = "34cea83cb726fb58f325887bf0612c6b3fb17631"
uuid = "ec84b674-ba8e-5d96-8ba1-2a689ba10484"
version = "1.5.2+4"

[[Xorg_libXrender_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "19560f30fd49f4d4efbe7002a1037f8c43d43b96"
uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa"
version = "0.9.10+4"

[[Xorg_libpthread_stubs_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "6783737e45d3c59a4a4c4091f5f88cdcf0908cbb"
uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74"
version = "0.1.0+3"

[[Xorg_libxcb_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"]
git-tree-sha1 = "daf17f441228e7a3833846cd048892861cff16d6"
uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
version = "1.13.0+3"

[[Xorg_libxkbfile_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "926af861744212db0eb001d9e40b5d16292080b2"
uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a"
version = "1.1.0+4"

[[Xorg_xcb_util_image_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "0fab0a40349ba1cba2c1da699243396ff8e94b97"
uuid = "12413925-8142-5f55-bb0e-6d7ca50bb09b"
version = "0.4.0+1"

[[Xorg_xcb_util_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll"]
git-tree-sha1 = "e7fd7b2881fa2eaa72717420894d3938177862d1"
uuid = "2def613f-5ad1-5310-b15b-b15d46f528f5"
version = "0.4.0+1"

[[Xorg_xcb_util_keysyms_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "d1151e2c45a544f32441a567d1690e701ec89b00"
uuid = "975044d2-76e6-5fbe-bf08-97ce7c6574c7"
version = "0.4.0+1"

[[Xorg_xcb_util_renderutil_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "dfd7a8f38d4613b6a575253b3174dd991ca6183e"
uuid = "0d47668e-0667-5a69-a72c-f761630bfb7e"
version = "0.3.9+1"

[[Xorg_xcb_util_wm_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "e78d10aab01a4a154142c5006ed44fd9e8e31b67"
uuid = "c22f9ab0-d5fe-5066-847c-f4bb1cd4e361"
version = "0.4.1+1"

[[Xorg_xkbcomp_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxkbfile_jll"]
git-tree-sha1 = "4bcbf660f6c2e714f87e960a171b119d06ee163b"
uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4"
version = "1.4.2+4"

[[Xorg_xkeyboard_config_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xkbcomp_jll"]
git-tree-sha1 = "5c8424f8a67c3f2209646d4425f3d415fee5931d"
uuid = "33bec58e-1273-512f-9401-5d533626f822"
version = "2.27.0+4"

[[Xorg_xtrans_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "79c31e7844f6ecf779705fbc12146eb190b7d845"
uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
version = "1.4.0+3"

[[Yields]]
deps = ["BSplineKit", "ForwardDiff", "LinearAlgebra", "LsqFit", "Optim", "Roots", "UnicodePlots"]
git-tree-sha1 = "af92587ae93b8a7f2c0bdc3626e41ca6332675c1"
uuid = "d7e99b2f-e7f3-4d9e-9f01-2338fc023ad3"
version = "3.1.0"

[[Zlib_jll]]
deps = ["Libdl"]
uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
version = "1.2.12+3"

[[Zstd_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "e45044cd873ded54b6a5bac0eb5c971392cf1927"
uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
version = "1.5.2+0"

[[ZygoteRules]]
deps = ["MacroTools"]
git-tree-sha1 = "8c1a8e4dfacb1fd631745552c8db35d0deb09ea0"
uuid = "700de1a5-db45-46bc-99cf-38207098b444"
version = "0.2.2"

[[libaom_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "3a2ea60308f0996d26f1e5354e10c24e9ef905d4"
uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b"
version = "3.4.0+0"

[[libass_jll]]
deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "5982a94fcba20f02f42ace44b9894ee2b140fe47"
uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0"
version = "0.15.1+0"

[[libblastrampoline_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
version = "5.1.1+0"

[[libfdk_aac_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55"
uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
version = "2.0.2+0"

[[libpng_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c"
uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
version = "1.6.38+0"

[[libvorbis_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"]
git-tree-sha1 = "b910cb81ef3fe6e78bf6acee440bda86fd6ae00c"
uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
version = "1.3.7+1"

[[nghttp2_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
version = "1.47.0+0"

[[p7zip_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
version = "17.4.0+0"

[[x264_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2"
uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
version = "2021.5.5+0"

[[x265_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9"
uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
version = "3.5.0+0"

[[xkbcommon_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"]
git-tree-sha1 = "ece2350174195bb31de1a63bea3a41ae1aa593b6"
uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd"
version = "0.9.1+5"
"""

# ╔═╡ Cell order:
# ╟─cd5e7080-5348-11eb-2c22-455a3556cab0
# ╟─de0ace1a-5348-11eb-35c9-5f0ff4009d97
# ╠═ceff6126-51fc-11eb-3cf5-dd30d637e267
# ╟─ef26ffb6-5348-11eb-04a8-c5cbfdcab72a
# ╠═45dab59c-528d-11eb-357d-af3664466910
# ╟─ffe9b6e0-5348-11eb-2d38-a5613eb24383
# ╠═da199644-51fc-11eb-0aab-dd68b1fcddc6
# ╟─8a227236-5349-11eb-353d-1d3f94a968d0
# ╠═956811e4-5349-11eb-2b34-b5441def32a1
# ╟─9ee35710-5349-11eb-0d45-23bc292d8a3d
# ╠═b65ef28c-5349-11eb-1baa-6575ad7fb946
# ╟─c4637664-5349-11eb-0e81-59e39974f02e
# ╟─a0f5551d-9e1b-4d2a-85f0-7ebb14b6bd88
# ╠═02cc352a-5409-11eb-0fda-336d5fa42fa9
# ╟─21e53f60-5409-11eb-291d-d903da8e16b4
# ╠═280d25a6-5409-11eb-17d9-674f218f4351
# ╠═0753ca05-21bd-4182-9e11-f9f70d076438
# ╟─684f7efc-5409-11eb-0757-19b40c5d418e
# ╟─7e80faf0-5409-11eb-33f6-4f6be6fea835
# ╟─00000000-0000-0000-0000-000000000001
# ╟─00000000-0000-0000-0000-000000000002