RandomGrowth.jl

### A Pluto.jl notebook ###
# v0.20.0

using Markdown
using InteractiveUtils

# This Pluto notebook uses @bind for interactivity. When running this notebook outside of Pluto, the following 'mock version' of @bind gives bound variables a default value (instead of an error).
macro bind(def, element)
    quote
        local iv = try Base.loaded_modules[Base.PkgId(Base.UUID("6e696c72-6542-2067-7265-42206c756150"), "AbstractPlutoDingetjes")].Bonds.initial_value catch; b -> missing; end
        local el = $(esc(element))
        global $(esc(def)) = Core.applicable(Base.get, el) ? Base.get(el) : iv(el)
        el
    end
end

# ╔═╡ d4c4dc1a-2d36-11ec-2796-c162f03598f0
using Distributions, Images, Base64, ColorSchemes, Plots, LaTeXStrings, PlutoUI

# ╔═╡ 313f5918-1e94-45a6-b1fd-29c9b5aaf35d
using LinearAlgebra, SpecialFunctions, FastGaussQuadrature, ForwardDiff

# ╔═╡ 3004a0be-c096-43bb-9541-824ff4dd00f5
using Serialization

# ╔═╡ 91171b75-3ab0-4d1b-a72b-c50413de6509
using HypertextLiteral, AbstractPlutoDingetjes.Bonds

# ╔═╡ b5584493-1ef6-4d81-8a35-f8dbdcd6b94d
md"""
This notebook was a modification of the notebook that Simeon Schaub created for Alan Edelman's 18.338 class.
"""

# ╔═╡ 1f47b590-7b8b-45d1-8f3a-ef6ac4c232df
TableOfContents(indent=true, depth=4, aside=true)

# ╔═╡ 21b8e04a-9e37-4040-b3e2-df2436e1960a
md"""
# Corner Growth
## Time-Centric
"""

# ╔═╡ 8b4fdbb6-991f-4798-b293-e3f0d2a9d608
N = 16

# ╔═╡ 341c7295-87ba-4c93-b1a3-2cd2dc69402e
p = .2

# ╔═╡ 46d52da5-157c-4910-97a5-44188224178a
md"""
## Space-centric
"""

# ╔═╡ 3d384485-a3a9-4a8d-afb1-8377cbe3e63b
function accumulate_corner_growth(W, n=size(W, 1); shifted=true)
	n = min(n,size(W,1))
	T = W .+ shifted
	T[1,:] = cumsum(T[1,:])
	T[:,1] = cumsum(T[:,1])
	for j =	2:n, i = 2:n    
		  T[i,j] += max( T[i-1,j], T[i,j-1])
	end
    T
end

# ╔═╡ 15291967-a58b-4c0c-b066-2a1b53675d15
md"""
### W = Geometric distribution 
"""

# ╔═╡ 815a40e8-c528-4384-a4ec-e71724891ed1
function diagonal(M, i)
	n = size(M, 1)
	return Iterators.map(i > n ? (i-n+1:n) : (1:i)) do j
		CartesianIndex(j, i+1-j)
	end
end

# ╔═╡ f2c0b6a7-e485-4f3e-8f62-0b8d38d666c3
n_gif = 200

# ╔═╡ 167c3bf2-63f5-49d9-ab25-8f50ee0e8c62
W_corner = rand(Geometric(1-p), (n_gif, n_gif));

# ╔═╡ 935d78a0-7094-4b99-b0ec-ac6352c29794
T_corner = accumulate_corner_growth(W_corner);

# ╔═╡ 4e908822-c013-484e-8801-3833f6cb6c5b
render(img, format="png") = HTML("""
	<img src='data:image/$format;base64,$(stringmime(MIME("image/$format"), img))'
		 width=600 height=600 style='image-rendering: pixelated; transform: scaleY(-1)' />
""")

# ╔═╡ 03c0fdf8-7c01-4f0e-893e-e8415edeeb25
function plot_growth(T; color::Bool=false, fps=30, max_t=maximum(T))
	if color
		cols = map(1:max_t) do t
			map(c -> ARGB(ColorSchemes.inferno[(c / t)^2], c ≤ t), T)
		end
		gif = Images.gif(cols; fps)
	else
		gif = Images.gif(t -> T .≥ t, 0:max_t; fps)
	end
	return render(gif, :gif)
end

# ╔═╡ 6d9c7cbf-49a1-493a-ab80-8d620c636286
plot_growth(T_corner, max_t=600)

# ╔═╡ afc35470-768c-49f1-a3b8-43566228822e
plot_growth(T_corner; color=true, max_t=600)

# ╔═╡ e36e8b9f-c383-4915-97cb-c57c7ab755e2
n = 1000

# ╔═╡ 904a3da5-5b0f-46af-98ad-f262d3f1afb5
Tᵢ = accumulate_corner_growth(rand(Geometric(p), (n, n)));

# ╔═╡ db122a84-32da-4f2c-b268-3b2b3355007c
md"""
###  Boundary Ellipse (Colorful)
"""

# ╔═╡ 7782eb6b-e604-4990-867e-0fc6cde3558e
md"""
###  W = Exponential distribution 
"""

# ╔═╡ 939ed01e-9894-4a94-b673-ca027a3c8ec8
Tₑ = accumulate_corner_growth(rand(Exponential(), (n, n)); shifted=false);

# ╔═╡ e1905483-99a9-4d54-9718-b8da8c7f5c8f
md"""
### Boundary Parabola (Colorful)
"""

# ╔═╡ 9a97b92f-11a5-43da-ae20-4e68683c2628
ω(γ, q) = (1 + √(q*γ))^2 / (1-q) - 1

# ╔═╡ 41e5264d-9047-4755-b185-ee874d963d0b
σ(γ, q) = (q/γ)^(1/6) / (1-q) * ((√γ + √q) * (1 + √(q*γ)))^(2/3)

# ╔═╡ 1ee21390-e0c3-42e4-b079-d8ba6db7b331
md"""
## Perturbations of Boundary vs Tracy Widom
### Compute TW as det(I-AiryK)
"""

# ╔═╡ 34b6361c-c631-4509-84df-3acbd468b2d0
let
	function airy_kernel(x, y)
		if x == y
			return (airyaiprime(x))^2 - x * (airyai(x))^2
		else
	        return (airyai(x) * airyaiprime(y) - airyai(y) * airyaiprime(x)) / (x - y)
		end
	end
	ϕ(ξ, s) =  s + 10*tan(π*(ξ+1)/4) # Transformation from [-1,1] to (s,∞)
	ϕ′(ξ) = 5π/2 * (sec(π*(ξ+1)/4))^2
	K(ξ,η,s) = √(ϕ′(ξ) * ϕ′(η)) * airy_kernel(ϕ(ξ,s), ϕ(η,s))

	function K(s; n=100)
	    nodes, weights = gausslegendre(n)
	    Symmetric(K.(nodes',nodes,s) .* .√weights .* .√(weights'))
	end

	global pdf_tracy_widom(s; n=100) = ForwardDiff.derivative(t->det(I-K(t; n)), s)
end

# ╔═╡ 7ed16d08-9925-4959-adb1-a297283891bd
data = let N=100, γ=1, q=.7, num_trials=10000
	M = round(Int, γ*N)
	n = max(M, N)
	map(1:num_trials) do _
		T = accumulate_corner_growth(rand(Geometric(1-q), (n, n)); shifted=false)
		(T[M, N] - N*ω(γ, q)) / (σ(γ, q) * N^(1/3))
	end
end

# ╔═╡ 3e2fed99-ad01-435a-8d4e-857d4fbc5d96
md""" 
### Fluctuations vs TW (Geometric)
"""

# ╔═╡ a33e5804-3155-4e1e-b3f0-11f28d69fb5e
begin
	histogram(data; normalize=true, bins=range(-6, 4; length=51), label="(T[M, N] - N*ω(γ, q)) / (σ(γ, q) * N^(1/3))", ylims=(0, .55))
	plot!(pdf_tracy_widom; lw=3, label="pdf(TracyWidom())")
	title!("Corner Growth Tracy-Widom")
end

# ╔═╡ e2025ac1-033b-4678-bce5-2ab2709cf4fc
md"""
## Exp growth = Laguerre = svd
"""

# ╔═╡ 5ae63cc2-055f-4308-8434-ad3dccfeecbc
data_exp = let N=1, γ=2, num_trials=10000
	M = round(Int, γ*N)
	n = max(M, N)
	map(1:num_trials) do _
		T = accumulate_corner_growth(rand(Exponential(), (n, n)); shifted=false)
		(T[M, N] - N*(1 + √γ)^2)
	end
end

# ╔═╡ 4270d02f-891c-41a0-bc15-a011893103d6
data_laguerre = let n=1, num_trials=5000
	map(1:num_trials) do _
		#L = randn(n,n) + im*randn(n,n)
		maximum(abs2, svdvals(randn(n,n) + im*randn(n,n)))
		#maximum(eigvals(Hermitian(L'L)))
	end
end

# ╔═╡ fd4a0cd2-66fb-4dcd-ba2a-0d5395e53657
let num_trials=5000, γ=1/2
	plot()
	dist = Exponential()
	for N in [100]#[10, 20, 40]
		M = round(Int, γ*N)
		n = max(M, N)
		data_exp = map(1:num_trials) do _
			T = accumulate_corner_growth(rand(dist, (n, n)); shifted=false)
			T[M, N]
		end
		data_laguerre = map(1:num_trials) do _
			#L = randn(n,n) + im*randn(n,n)
			local n = N
			maximum(abs2, svdvals(randn(M, N) .+ im.*randn(M, N)))/2
		end
		histogram!(data_exp; normalize=true, bins=51, label="T[M, N])")
		stephist!(data_laguerre; normalize=true, bins=51, label="maximum(abs2, svdvals(randn(n,n) + im*randn(n,n)))", lw=2)
	end
	title!("Exponential Growth vs. Laguerre")
end

# ╔═╡ 54bdc001-9e8e-4f2a-aa17-69b25dd673c8
md"""
### Fluctuations vs TW (Exponential)
"""

# ╔═╡ b889439f-58f7-4059-b57c-b2eef5229124
let num_trials=5000, γ=1.1
	plot()
	dist = Exponential()
	for N in [100] #[10, 20, 40]
		M = round(Int, γ*N)
		n = max(M, N)
		data_exp = map(1:num_trials) do _
			T = accumulate_corner_growth(rand(dist, (n, n)); shifted=false)
			(T[M, N] - N*(1+√γ)^2) / (γ^(-1/6) * (1+√γ)^(4/3) * N^(1/3))
		end
		histogram!(data_exp; normalize=true, bins=range(-6, 4; length=51), label="(T[M, N] - N*ω(γ, q)) / (σ(γ, q) * N^(1/3))")
	end
	title!("Exponential Growth Tracy-Widom")
	plot!(pdf_tracy_widom; lw=3, label="pdf(TracyWidom())")
end

# ╔═╡ 2d523b93-8e42-4655-9b3f-f3c20f1edaf6
md"""
## Airy Process
"""

# ╔═╡ b1175f17-cfa8-493c-a78e-7d836c46a49c
let num_trials=20000, γ=1.1
	dist = Exponential()
	data_exps = Vector{Float64}[]
	for N in [100, 110] #[10, 20, 40]
		M = round(Int, (20 - √N)^2)
		@show M
		n = max(M, N)
		data_exp = map(1:num_trials) do _
			T = accumulate_corner_growth(rand(dist, (n, n)); shifted=false)
			(T[M, N] - N*(1+√γ)^2) / (γ^(-1/6) * (1+√γ)^(4/3) * N^(1/3))
		end
		push!(data_exps, data_exp)
	end
	p, = histogram2d(collect(zip(data_exps...)), normalize=true, bins=100)
	serialize("/tmp/airy.dat", collect(zip(data_exps...)))
	plot!(aspectratio=1)
	title!(p, "Exponential Growth as an Airy Process")
end

# ╔═╡ de06fca9-d48c-45a0-a351-619364412745
begin
	struct SeekingSlider
		r::StepRange{Int, Int}
		default::Int
	end
	function Base.show(io::IO, ::MIME"text/html", (; r, default)::SeekingSlider)
		print(io, @htl("""
		<span>
		<input $((id="f", type="button", value="<<"))/>
		<input $((id="m", type="button", value="<"))/>
		<input $((id="s", type="range", min=r.start, max=r.stop, step=r.step)) style="vertical-align: middle"/>
		<input $((id="p", type="button", value=">"))/>
		<input $((id="l", type="button", value=">>"))/>
		<span id="t" style="margin-left: 1em">$default</span>

		<script>
		const span = currentScript.parentElement
		const slider = span.querySelector("#s")

		function get() {
			return slider.value
		}
		function set(val){
		    val = Math.min(Math.max(val, $(r.start)), $(r.stop));
			slider.value = val
			span.querySelector("#t").textContent = val
			span.value = val
			span.dispatchEvent(new CustomEvent("input"))
		}

		span.querySelector("#f").onclick = () => set($(r.start))
		span.querySelector("#l").onclick = () => set($(r.stop))
		span.querySelector("#m").onclick = () => set(+get() - $(r.step))
		span.querySelector("#p").onclick = () => set(+get() + $(r.step))
		slider.oninput = () => set(get())
		set($default)
		</script>
		</span>
		"""))
	end
	Base.get((; default)::SeekingSlider) = default
	Bonds.initial_value((; default)::SeekingSlider) = default
	Bonds.possible_values((; r)::SeekingSlider) = r
end

# ╔═╡ 9d4c6014-48de-4013-ac2f-84f7adb953f8
function step!(filled_squares, eligible; dist=Bernoulli(p))
	for I in collect(eligible)
		if rand(dist)
			I in CartesianIndices(filled_squares) || continue
			filled_squares[I] = true
			pop!(eligible, I)
			if get(filled_squares, I + CartesianIndex(1, -1), true)
				push!(eligible, I + CartesianIndex(1, 0))
			end
			if get(filled_squares, I + CartesianIndex(-1, 1), true)
				push!(eligible, I + CartesianIndex(0, 1))
			end
		end
	end
	return filled_squares, eligible
end

# ╔═╡ 77850345-a159-4bcc-9403-b194fd4d9134
begin
	filled_squares = falses(N, N)
	eligible = Set([CartesianIndex(1, 1)])
	∅ = empty(eligible)
	STEPS = [(filled_squares, eligible, ∅)]
	while !all(filled_squares)
		filled_squares′, eligible′ = step!(copy(filled_squares), copy(eligible); dist=Bernoulli(p))
		to_fill = filter(I -> get(filled_squares′, I, false), eligible)
		push!(STEPS, (filled_squares, eligible, to_fill))
		push!(STEPS, (filled_squares′, ∅, ∅))
		push!(STEPS, (filled_squares′, eligible′, ∅))
		filled_squares, eligible = filled_squares′, eligible′
	end
	push!(STEPS, (filled_squares, ∅, ∅))
end;

# ╔═╡ d7e38b79-c876-4eb2-9c01-5806ffbb9755
md"""
Show after step $(@bind n_steps SeekingSlider(eachindex(STEPS), 1))
"""

# ╔═╡ c1b18124-89dc-48c8-b506-ae71687de9dd
let (filled_squares, eligible, to_fill) = STEPS[n_steps]

	phase = (n_steps-1)%3+1 #1. filled+eligible #2. filled+accepted/rejected $3. filled
	
	# the filled squares
	filled = [Tuple(I) for I in vec(CartesianIndices(filled_squares)) if filled_squares[I]]
	
	p =  scatter(broadcast(.-, filled, [(.5, .5)]);
		marker=(stroke(3), :rect, :darkblue, 12), aspect_ratio=1,
		xlim=(0, N), ylim=(0, N), label="Filled Squares", theme=:inferno, size=(600, 500),
	)
	
	scatter!(p, broadcast(.-, Tuple.(collect(eligible)), [(.5, .5)]);
		marker=(stroke(0), :rect, isempty(to_fill) ? :orange : :red, 12), #label="Eligible Squares",
		label="",
	)
	
	if phase==1
        scatter!([],marker=(stroke(0), :rect,  :orange, 12),label="Eligible Squares")
	end

	if phase==2
	scatter!(p, broadcast(.-, Tuple.(collect(to_fill)), [(.5, .5)]);
		marker=(stroke(0), :rect, :green, 12), label="Accepted Squares",
	)
		scatter!([],marker=(stroke(0), :rect,  :red , 12),label="Rejected Squares")
	end
	title!("t= $((2+n_steps)÷3)$("abc"[phase])")
end

# ╔═╡ 622f6669-7c25-4acd-bbff-6bdc0b4f4019
# ╠═╡ disabled = true
#=╠═╡
function accumulate_corner_growth_old(W, n=size(W, 1); shifted=true, init=0)
	T = fill!(similar(W), typemax(Int))
	T[1, 1] = W[1, 1]#init
	for i in 2:2n
		for I in diagonal(W, i)
			neighbors = (I,) .- CartesianIndex.((0, 1), (1, 0))
			T[I] = W[I] + maximum(I -> get(T, I, 0), neighbors) + shifted
		end
	end
	return T
end
  ╠═╡ =#

# ╔═╡ 52aaf20c-69d3-4021-8966-4796933addcc
#=╠═╡
let
	W = rand(1:5,3,3)
	display(accumulate_corner_growth(W))
		display(accumulate_corner_growth_old(W))
end
  ╠═╡ =#

# ╔═╡ bfe78dd0-d4c8-40ff-8ad3-88f45a6490c8
#=╠═╡
let n=1000, p=.5, t=1500
	T = accumulate_corner_growth_old(rand(Geometric(p), (n, n)),t)
	@show findlast(≤(t), view(T, 1, :))
	@show findlast(≤(t), view(T, :, 1))
	@show t * mean(Geometric(.5))

	map(c -> ARGB(ColorSchemes.inferno[(c / t)^2], c ≤ t), T)
	Gray.(T .> t) |> render
end
  ╠═╡ =#

# ╔═╡ a2aa704a-ebad-4b71-b589-84908481cc70
md"""
Show after step $(@bind max_t SeekingSlider(0:100:2000, 2000))

Show Ellipse $(@bind show_ellipse PlutoUI.CheckBox())"""

# ╔═╡ 5e47a00b-a38e-4071-b44b-eb1b5661b968
let t=max_t
	T = Tᵢ

	img = map(c -> ARGB(ColorSchemes.inferno[(c / t)^2], c ≤ t), T)
	plot(img, ylims=(0, n), xlims=(0, n), yflip=false, size=(700, 700))
	q = 1 - p
	show_ellipse && for s in (1, -1)
		plot!(lw=2, c=:green, label=false) do x
			s*2√(-q^2*t*x + q^2*x^2 + q*t*x - q*x^2) - q*t + 2q*x + t - x
		end
	end
	title!(L"Corner Growth with $p=%$p$ after $n=%$t$ Steps")
end

# ╔═╡ f0c0b737-52ce-4980-9a0d-8dbaeebc9cee
md"""
Show after step $(@bind max_t_exp SeekingSlider(0:100:2000, 2000))

Show limiting curve $(@bind show_curve_exp PlutoUI.CheckBox())"""

# ╔═╡ df0ad4e6-761f-4d6a-a763-675542f0c2ed
let t=max_t_exp
	T = Tₑ

	img = map(c -> ARGB(ColorSchemes.inferno[(c / t)^2], c ≤ t), T)
	plot(img, ylims=(0, n), xlims=(0, n), yflip=false, size=(700, 700))
	q = 1 - p
	show_curve_exp && for s in (1, -1)
		plot!(lw=2, c=:green, label=(s==1) && L"\sqrt{x} + \sqrt{y} = \sqrt{n}") do x
			t*(1 + s*√(x/t))^2
		end
	end
	title!(L"Exponential Growth with $n=%$t$ Steps")
end

# ╔═╡ 00000000-0000-0000-0000-000000000001
PLUTO_PROJECT_TOML_CONTENTS = """
[deps]
AbstractPlutoDingetjes = "6e696c72-6542-2067-7265-42206c756150"
Base64 = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
ColorSchemes = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f"
FastGaussQuadrature = "442a2c76-b920-505d-bb47-c5924d526838"
ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
HypertextLiteral = "ac1192a8-f4b3-4bfe-ba22-af5b92cd3ab2"
Images = "916415d5-f1e6-5110-898d-aaa5f9f070e0"
LaTeXStrings = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
LinearAlgebra = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
Serialization = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
SpecialFunctions = "276daf66-3868-5448-9aa4-cd146d93841b"

[compat]
AbstractPlutoDingetjes = "~1.2.0"
ColorSchemes = "~3.24.0"
Distributions = "~0.25.79"
FastGaussQuadrature = "~0.5.0"
ForwardDiff = "~0.10.34"
HypertextLiteral = "~0.9.4"
Images = "~0.25.2"
LaTeXStrings = "~1.3.0"
Plots = "~1.39.0"
PlutoUI = "~0.7.49"
SpecialFunctions = "~2.3.1"
"""

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

julia_version = "1.11.2"
manifest_format = "2.0"
project_hash = "d8d90ad78647f8a943adb1dcab65d749b3bdb93d"

[[deps.AbstractFFTs]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "d92ad398961a3ed262d8bf04a1a2b8340f915fef"
uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c"
version = "1.5.0"
weakdeps = ["ChainRulesCore", "Test"]

    [deps.AbstractFFTs.extensions]
    AbstractFFTsChainRulesCoreExt = "ChainRulesCore"
    AbstractFFTsTestExt = "Test"

[[deps.AbstractPlutoDingetjes]]
deps = ["Pkg"]
git-tree-sha1 = "c278dfab760520b8bb7e9511b968bf4ba38b7acc"
uuid = "6e696c72-6542-2067-7265-42206c756150"
version = "1.2.3"

[[deps.Adapt]]
deps = ["LinearAlgebra", "Requires"]
git-tree-sha1 = "cde29ddf7e5726c9fb511f340244ea3481267608"
uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
version = "3.7.2"
weakdeps = ["StaticArrays"]

    [deps.Adapt.extensions]
    AdaptStaticArraysExt = "StaticArrays"

[[deps.AliasTables]]
deps = ["PtrArrays", "Random"]
git-tree-sha1 = "9876e1e164b144ca45e9e3198d0b689cadfed9ff"
uuid = "66dad0bd-aa9a-41b7-9441-69ab47430ed8"
version = "1.1.3"

[[deps.ArgTools]]
uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f"
version = "1.1.2"

[[deps.ArnoldiMethod]]
deps = ["LinearAlgebra", "Random", "StaticArrays"]
git-tree-sha1 = "d57bd3762d308bded22c3b82d033bff85f6195c6"
uuid = "ec485272-7323-5ecc-a04f-4719b315124d"
version = "0.4.0"

[[deps.Artifacts]]
uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33"
version = "1.11.0"

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

[[deps.AxisArrays]]
deps = ["Dates", "IntervalSets", "IterTools", "RangeArrays"]
git-tree-sha1 = "16351be62963a67ac4083f748fdb3cca58bfd52f"
uuid = "39de3d68-74b9-583c-8d2d-e117c070f3a9"
version = "0.4.7"

[[deps.Base64]]
uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f"
version = "1.11.0"

[[deps.BitFlags]]
git-tree-sha1 = "0691e34b3bb8be9307330f88d1a3c3f25466c24d"
uuid = "d1d4a3ce-64b1-5f1a-9ba4-7e7e69966f35"
version = "0.1.9"

[[deps.Bzip2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "8873e196c2eb87962a2048b3b8e08946535864a1"
uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0"
version = "1.0.8+2"

[[deps.CEnum]]
git-tree-sha1 = "389ad5c84de1ae7cf0e28e381131c98ea87d54fc"
uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82"
version = "0.5.0"

[[deps.Cairo_jll]]
deps = ["Artifacts", "Bzip2_jll", "CompilerSupportLibraries_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"]
git-tree-sha1 = "009060c9a6168704143100f36ab08f06c2af4642"
uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a"
version = "1.18.2+1"

[[deps.CatIndices]]
deps = ["CustomUnitRanges", "OffsetArrays"]
git-tree-sha1 = "a0f80a09780eed9b1d106a1bf62041c2efc995bc"
uuid = "aafaddc9-749c-510e-ac4f-586e18779b91"
version = "0.2.2"

[[deps.ChainRulesCore]]
deps = ["Compat", "LinearAlgebra"]
git-tree-sha1 = "3e4b134270b372f2ed4d4d0e936aabaefc1802bc"
uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
version = "1.25.0"
weakdeps = ["SparseArrays"]

    [deps.ChainRulesCore.extensions]
    ChainRulesCoreSparseArraysExt = "SparseArrays"

[[deps.Clustering]]
deps = ["Distances", "LinearAlgebra", "NearestNeighbors", "Printf", "Random", "SparseArrays", "Statistics", "StatsBase"]
git-tree-sha1 = "9ebb045901e9bbf58767a9f34ff89831ed711aae"
uuid = "aaaa29a8-35af-508c-8bc3-b662a17a0fe5"
version = "0.15.7"

[[deps.CodecZlib]]
deps = ["TranscodingStreams", "Zlib_jll"]
git-tree-sha1 = "bce6804e5e6044c6daab27bb533d1295e4a2e759"
uuid = "944b1d66-785c-5afd-91f1-9de20f533193"
version = "0.7.6"

[[deps.ColorSchemes]]
deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "PrecompileTools", "Random"]
git-tree-sha1 = "67c1f244b991cad9b0aa4b7540fb758c2488b129"
uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
version = "3.24.0"

[[deps.ColorTypes]]
deps = ["FixedPointNumbers", "Random"]
git-tree-sha1 = "b10d0b65641d57b8b4d5e234446582de5047050d"
uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
version = "0.11.5"

[[deps.ColorVectorSpace]]
deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "SpecialFunctions", "Statistics", "TensorCore"]
git-tree-sha1 = "600cc5508d66b78aae350f7accdb58763ac18589"
uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4"
version = "0.9.10"

[[deps.Colors]]
deps = ["ColorTypes", "FixedPointNumbers", "Reexport"]
git-tree-sha1 = "362a287c3aa50601b0bc359053d5c2468f0e7ce0"
uuid = "5ae59095-9a9b-59fe-a467-6f913c188581"
version = "0.12.11"

[[deps.CommonSubexpressions]]
deps = ["MacroTools"]
git-tree-sha1 = "cda2cfaebb4be89c9084adaca7dd7333369715c5"
uuid = "bbf7d656-a473-5ed7-a52c-81e309532950"
version = "0.3.1"

[[deps.Compat]]
deps = ["TOML", "UUIDs"]
git-tree-sha1 = "8ae8d32e09f0dcf42a36b90d4e17f5dd2e4c4215"
uuid = "34da2185-b29b-5c13-b0c7-acf172513d20"
version = "4.16.0"
weakdeps = ["Dates", "LinearAlgebra"]

    [deps.Compat.extensions]
    CompatLinearAlgebraExt = "LinearAlgebra"

[[deps.CompilerSupportLibraries_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae"
version = "1.1.1+0"

[[deps.ComputationalResources]]
git-tree-sha1 = "52cb3ec90e8a8bea0e62e275ba577ad0f74821f7"
uuid = "ed09eef8-17a6-5b46-8889-db040fac31e3"
version = "0.3.2"

[[deps.ConcurrentUtilities]]
deps = ["Serialization", "Sockets"]
git-tree-sha1 = "ea32b83ca4fefa1768dc84e504cc0a94fb1ab8d1"
uuid = "f0e56b4a-5159-44fe-b623-3e5288b988bb"
version = "2.4.2"

[[deps.Contour]]
git-tree-sha1 = "439e35b0b36e2e5881738abc8857bd92ad6ff9a8"
uuid = "d38c429a-6771-53c6-b99e-75d170b6e991"
version = "0.6.3"

[[deps.CoordinateTransformations]]
deps = ["LinearAlgebra", "StaticArrays"]
git-tree-sha1 = "f9d7112bfff8a19a3a4ea4e03a8e6a91fe8456bf"
uuid = "150eb455-5306-5404-9cee-2592286d6298"
version = "0.6.3"

[[deps.CustomUnitRanges]]
git-tree-sha1 = "1a3f97f907e6dd8983b744d2642651bb162a3f7a"
uuid = "dc8bdbbb-1ca9-579f-8c36-e416f6a65cce"
version = "1.0.2"

[[deps.DataAPI]]
git-tree-sha1 = "abe83f3a2f1b857aac70ef8b269080af17764bbe"
uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a"
version = "1.16.0"

[[deps.DataStructures]]
deps = ["Compat", "InteractiveUtils", "OrderedCollections"]
git-tree-sha1 = "1d0a14036acb104d9e89698bd408f63ab58cdc82"
uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8"
version = "0.18.20"

[[deps.Dates]]
deps = ["Printf"]
uuid = "ade2ca70-3891-5945-98fb-dc099432e06a"
version = "1.11.0"

[[deps.Dbus_jll]]
deps = ["Artifacts", "Expat_jll", "JLLWrappers", "Libdl"]
git-tree-sha1 = "fc173b380865f70627d7dd1190dc2fce6cc105af"
uuid = "ee1fde0b-3d02-5ea6-8484-8dfef6360eab"
version = "1.14.10+0"

[[deps.DelimitedFiles]]
deps = ["Mmap"]
git-tree-sha1 = "9e2f36d3c96a820c678f2f1f1782582fcf685bae"
uuid = "8bb1440f-4735-579b-a4ab-409b98df4dab"
version = "1.9.1"

[[deps.DiffResults]]
deps = ["StaticArraysCore"]
git-tree-sha1 = "782dd5f4561f5d267313f23853baaaa4c52ea621"
uuid = "163ba53b-c6d8-5494-b064-1a9d43ac40c5"
version = "1.1.0"

[[deps.DiffRules]]
deps = ["IrrationalConstants", "LogExpFunctions", "NaNMath", "Random", "SpecialFunctions"]
git-tree-sha1 = "23163d55f885173722d1e4cf0f6110cdbaf7e272"
uuid = "b552c78f-8df3-52c6-915a-8e097449b14b"
version = "1.15.1"

[[deps.Distances]]
deps = ["LinearAlgebra", "Statistics", "StatsAPI"]
git-tree-sha1 = "c7e3a542b999843086e2f29dac96a618c105be1d"
uuid = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7"
version = "0.10.12"
weakdeps = ["ChainRulesCore", "SparseArrays"]

    [deps.Distances.extensions]
    DistancesChainRulesCoreExt = "ChainRulesCore"
    DistancesSparseArraysExt = "SparseArrays"

[[deps.Distributed]]
deps = ["Random", "Serialization", "Sockets"]
uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b"
version = "1.11.0"

[[deps.Distributions]]
deps = ["AliasTables", "FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns"]
git-tree-sha1 = "3101c32aab536e7a27b1763c0797dba151b899ad"
uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
version = "0.25.113"

    [deps.Distributions.extensions]
    DistributionsChainRulesCoreExt = "ChainRulesCore"
    DistributionsDensityInterfaceExt = "DensityInterface"
    DistributionsTestExt = "Test"

    [deps.Distributions.weakdeps]
    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
    DensityInterface = "b429d917-457f-4dbc-8f4c-0cc954292b1d"
    Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"

[[deps.DocStringExtensions]]
deps = ["LibGit2"]
git-tree-sha1 = "2fb1e02f2b635d0845df5d7c167fec4dd739b00d"
uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae"
version = "0.9.3"

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

[[deps.EpollShim_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "8e9441ee83492030ace98f9789a654a6d0b1f643"
uuid = "2702e6a9-849d-5ed8-8c21-79e8b8f9ee43"
version = "0.0.20230411+0"

[[deps.ExceptionUnwrapping]]
deps = ["Test"]
git-tree-sha1 = "dcb08a0d93ec0b1cdc4af184b26b591e9695423a"
uuid = "460bff9d-24e4-43bc-9d9f-a8973cb893f4"
version = "0.1.10"

[[deps.Expat_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "1c6317308b9dc757616f0b5cb379db10494443a7"
uuid = "2e619515-83b5-522b-bb60-26c02a35a201"
version = "2.6.2+0"

[[deps.FFMPEG]]
deps = ["FFMPEG_jll"]
git-tree-sha1 = "53ebe7511fa11d33bec688a9178fac4e49eeee00"
uuid = "c87230d0-a227-11e9-1b43-d7ebe4e7570a"
version = "0.4.2"

[[deps.FFMPEG_jll]]
deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "JLLWrappers", "LAME_jll", "Libdl", "Ogg_jll", "OpenSSL_jll", "Opus_jll", "PCRE2_jll", "Pkg", "Zlib_jll", "libaom_jll", "libass_jll", "libfdk_aac_jll", "libvorbis_jll", "x264_jll", "x265_jll"]
git-tree-sha1 = "74faea50c1d007c85837327f6775bea60b5492dd"
uuid = "b22a6f82-2f65-5046-a5b2-351ab43fb4e5"
version = "4.4.2+2"

[[deps.FFTViews]]
deps = ["CustomUnitRanges", "FFTW"]
git-tree-sha1 = "cbdf14d1e8c7c8aacbe8b19862e0179fd08321c2"
uuid = "4f61f5a4-77b1-5117-aa51-3ab5ef4ef0cd"
version = "0.3.2"

[[deps.FFTW]]
deps = ["AbstractFFTs", "FFTW_jll", "LinearAlgebra", "MKL_jll", "Preferences", "Reexport"]
git-tree-sha1 = "4820348781ae578893311153d69049a93d05f39d"
uuid = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
version = "1.8.0"

[[deps.FFTW_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4d81ed14783ec49ce9f2e168208a12ce1815aa25"
uuid = "f5851436-0d7a-5f13-b9de-f02708fd171a"
version = "3.3.10+1"

[[deps.FastGaussQuadrature]]
deps = ["LinearAlgebra", "SpecialFunctions", "StaticArrays"]
git-tree-sha1 = "0f478d8bad6f52573fb7658a263af61f3d96e43a"
uuid = "442a2c76-b920-505d-bb47-c5924d526838"
version = "0.5.1"

[[deps.FileIO]]
deps = ["Pkg", "Requires", "UUIDs"]
git-tree-sha1 = "62ca0547a14c57e98154423419d8a342dca75ca9"
uuid = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549"
version = "1.16.4"

[[deps.FileWatching]]
uuid = "7b1f6079-737a-58dc-b8bc-7a2ca5c1b5ee"
version = "1.11.0"

[[deps.FillArrays]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "6a70198746448456524cb442b8af316927ff3e1a"
uuid = "1a297f60-69ca-5386-bcde-b61e274b549b"
version = "1.13.0"
weakdeps = ["PDMats", "SparseArrays", "Statistics"]

    [deps.FillArrays.extensions]
    FillArraysPDMatsExt = "PDMats"
    FillArraysSparseArraysExt = "SparseArrays"
    FillArraysStatisticsExt = "Statistics"

[[deps.FixedPointNumbers]]
deps = ["Statistics"]
git-tree-sha1 = "05882d6995ae5c12bb5f36dd2ed3f61c98cbb172"
uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93"
version = "0.8.5"

[[deps.Fontconfig_jll]]
deps = ["Artifacts", "Bzip2_jll", "Expat_jll", "FreeType2_jll", "JLLWrappers", "Libdl", "Libuuid_jll", "Zlib_jll"]
git-tree-sha1 = "db16beca600632c95fc8aca29890d83788dd8b23"
uuid = "a3f928ae-7b40-5064-980b-68af3947d34b"
version = "2.13.96+0"

[[deps.Format]]
git-tree-sha1 = "9c68794ef81b08086aeb32eeaf33531668d5f5fc"
uuid = "1fa38f19-a742-5d3f-a2b9-30dd87b9d5f8"
version = "1.3.7"

[[deps.ForwardDiff]]
deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "LogExpFunctions", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions"]
git-tree-sha1 = "a2df1b776752e3f344e5116c06d75a10436ab853"
uuid = "f6369f11-7733-5829-9624-2563aa707210"
version = "0.10.38"
weakdeps = ["StaticArrays"]

    [deps.ForwardDiff.extensions]
    ForwardDiffStaticArraysExt = "StaticArrays"

[[deps.FreeType2_jll]]
deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Zlib_jll"]
git-tree-sha1 = "5c1d8ae0efc6c2e7b1fc502cbe25def8f661b7bc"
uuid = "d7e528f0-a631-5988-bf34-fe36492bcfd7"
version = "2.13.2+0"

[[deps.FriBidi_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "1ed150b39aebcc805c26b93a8d0122c940f64ce2"
uuid = "559328eb-81f9-559d-9380-de523a88c83c"
version = "1.0.14+0"

[[deps.GLFW_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libglvnd_jll", "Xorg_libXcursor_jll", "Xorg_libXi_jll", "Xorg_libXinerama_jll", "Xorg_libXrandr_jll", "libdecor_jll", "xkbcommon_jll"]
git-tree-sha1 = "532f9126ad901533af1d4f5c198867227a7bb077"
uuid = "0656b61e-2033-5cc2-a64a-77c0f6c09b89"
version = "3.4.0+1"

[[deps.GR]]
deps = ["Artifacts", "Base64", "DelimitedFiles", "Downloads", "GR_jll", "HTTP", "JSON", "Libdl", "LinearAlgebra", "Pkg", "Preferences", "Printf", "Random", "Serialization", "Sockets", "TOML", "Tar", "Test", "UUIDs", "p7zip_jll"]
git-tree-sha1 = "8e2d86e06ceb4580110d9e716be26658effc5bfd"
uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71"
version = "0.72.8"

[[deps.GR_jll]]
deps = ["Artifacts", "Bzip2_jll", "Cairo_jll", "FFMPEG_jll", "Fontconfig_jll", "GLFW_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pixman_jll", "Qt5Base_jll", "Zlib_jll", "libpng_jll"]
git-tree-sha1 = "da121cbdc95b065da07fbb93638367737969693f"
uuid = "d2c73de3-f751-5644-a686-071e5b155ba9"
version = "0.72.8+0"

[[deps.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"

[[deps.Ghostscript_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "43ba3d3c82c18d88471cfd2924931658838c9d8f"
uuid = "61579ee1-b43e-5ca0-a5da-69d92c66a64b"
version = "9.55.0+4"

[[deps.Glib_jll]]
deps = ["Artifacts", "Gettext_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Libiconv_jll", "Libmount_jll", "PCRE2_jll", "Zlib_jll"]
git-tree-sha1 = "674ff0db93fffcd11a3573986e550d66cd4fd71f"
uuid = "7746bdde-850d-59dc-9ae8-88ece973131d"
version = "2.80.5+0"

[[deps.Graphics]]
deps = ["Colors", "LinearAlgebra", "NaNMath"]
git-tree-sha1 = "a641238db938fff9b2f60d08ed9030387daf428c"
uuid = "a2bd30eb-e257-5431-a919-1863eab51364"
version = "1.1.3"

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

[[deps.Graphs]]
deps = ["ArnoldiMethod", "Compat", "DataStructures", "Distributed", "Inflate", "LinearAlgebra", "Random", "SharedArrays", "SimpleTraits", "SparseArrays", "Statistics"]
git-tree-sha1 = "1dc470db8b1131cfc7fb4c115de89fe391b9e780"
uuid = "86223c79-3864-5bf0-83f7-82e725a168b6"
version = "1.12.0"

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

[[deps.HTTP]]
deps = ["Base64", "CodecZlib", "ConcurrentUtilities", "Dates", "ExceptionUnwrapping", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "OpenSSL", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"]
git-tree-sha1 = "1336e07ba2eb75614c99496501a8f4b233e9fafe"
uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3"
version = "1.10.10"

[[deps.HarfBuzz_jll]]
deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll"]
git-tree-sha1 = "401e4f3f30f43af2c8478fc008da50096ea5240f"
uuid = "2e76f6c2-a576-52d4-95c1-20adfe4de566"
version = "8.3.1+0"

[[deps.HypergeometricFunctions]]
deps = ["LinearAlgebra", "OpenLibm_jll", "SpecialFunctions"]
git-tree-sha1 = "7c4195be1649ae622304031ed46a2f4df989f1eb"
uuid = "34004b35-14d8-5ef3-9330-4cdb6864b03a"
version = "0.3.24"

[[deps.Hyperscript]]
deps = ["Test"]
git-tree-sha1 = "179267cfa5e712760cd43dcae385d7ea90cc25a4"
uuid = "47d2ed2b-36de-50cf-bf87-49c2cf4b8b91"
version = "0.0.5"

[[deps.HypertextLiteral]]
deps = ["Tricks"]
git-tree-sha1 = "7134810b1afce04bbc1045ca1985fbe81ce17653"
uuid = "ac1192a8-f4b3-4bfe-ba22-af5b92cd3ab2"
version = "0.9.5"

[[deps.IOCapture]]
deps = ["Logging", "Random"]
git-tree-sha1 = "b6d6bfdd7ce25b0f9b2f6b3dd56b2673a66c8770"
uuid = "b5f81e59-6552-4d32-b1f0-c071b021bf89"
version = "0.2.5"

[[deps.ImageAxes]]
deps = ["AxisArrays", "ImageBase", "ImageCore", "Reexport", "SimpleTraits"]
git-tree-sha1 = "2e4520d67b0cef90865b3ef727594d2a58e0e1f8"
uuid = "2803e5a7-5153-5ecf-9a86-9b4c37f5f5ac"
version = "0.6.11"

[[deps.ImageBase]]
deps = ["ImageCore", "Reexport"]
git-tree-sha1 = "b51bb8cae22c66d0f6357e3bcb6363145ef20835"
uuid = "c817782e-172a-44cc-b673-b171935fbb9e"
version = "0.1.5"

[[deps.ImageContrastAdjustment]]
deps = ["ImageBase", "ImageCore", "ImageTransformations", "Parameters"]
git-tree-sha1 = "eb3d4365a10e3f3ecb3b115e9d12db131d28a386"
uuid = "f332f351-ec65-5f6a-b3d1-319c6670881a"
version = "0.3.12"

[[deps.ImageCore]]
deps = ["AbstractFFTs", "ColorVectorSpace", "Colors", "FixedPointNumbers", "Graphics", "MappedArrays", "MosaicViews", "OffsetArrays", "PaddedViews", "Reexport"]
git-tree-sha1 = "acf614720ef026d38400b3817614c45882d75500"
uuid = "a09fc81d-aa75-5fe9-8630-4744c3626534"
version = "0.9.4"

[[deps.ImageDistances]]
deps = ["Distances", "ImageCore", "ImageMorphology", "LinearAlgebra", "Statistics"]
git-tree-sha1 = "08b0e6354b21ef5dd5e49026028e41831401aca8"
uuid = "51556ac3-7006-55f5-8cb3-34580c88182d"
version = "0.2.17"

[[deps.ImageFiltering]]
deps = ["CatIndices", "ComputationalResources", "DataStructures", "FFTViews", "FFTW", "ImageBase", "ImageCore", "LinearAlgebra", "OffsetArrays", "PrecompileTools", "Reexport", "SparseArrays", "StaticArrays", "Statistics", "TiledIteration"]
git-tree-sha1 = "3447781d4c80dbe6d71d239f7cfb1f8049d4c84f"
uuid = "6a3955dd-da59-5b1f-98d4-e7296123deb5"
version = "0.7.6"

[[deps.ImageIO]]
deps = ["FileIO", "IndirectArrays", "JpegTurbo", "LazyModules", "Netpbm", "OpenEXR", "PNGFiles", "QOI", "Sixel", "TiffImages", "UUIDs"]
git-tree-sha1 = "437abb322a41d527c197fa800455f79d414f0a3c"
uuid = "82e4d734-157c-48bb-816b-45c225c6df19"
version = "0.6.8"

[[deps.ImageMagick]]
deps = ["FileIO", "ImageCore", "ImageMagick_jll", "InteractiveUtils"]
git-tree-sha1 = "c5c5478ae8d944c63d6de961b19e6d3324812c35"
uuid = "6218d12a-5da1-5696-b52f-db25d2ecc6d1"
version = "1.4.0"

[[deps.ImageMagick_jll]]
deps = ["Artifacts", "Ghostscript_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "OpenJpeg_jll", "Zlib_jll", "libpng_jll"]
git-tree-sha1 = "fa01c98985be12e5d75301c4527fff2c46fa3e0e"
uuid = "c73af94c-d91f-53ed-93a7-00f77d67a9d7"
version = "7.1.1+1"

[[deps.ImageMetadata]]
deps = ["AxisArrays", "ImageAxes", "ImageBase", "ImageCore"]
git-tree-sha1 = "355e2b974f2e3212a75dfb60519de21361ad3cb7"
uuid = "bc367c6b-8a6b-528e-b4bd-a4b897500b49"
version = "0.9.9"

[[deps.ImageMorphology]]
deps = ["ImageCore", "LinearAlgebra", "Requires", "TiledIteration"]
git-tree-sha1 = "e7c68ab3df4a75511ba33fc5d8d9098007b579a8"
uuid = "787d08f9-d448-5407-9aad-5290dd7ab264"
version = "0.3.2"

[[deps.ImageQualityIndexes]]
deps = ["ImageContrastAdjustment", "ImageCore", "ImageDistances", "ImageFiltering", "LazyModules", "OffsetArrays", "PrecompileTools", "Statistics"]
git-tree-sha1 = "783b70725ed326340adf225be4889906c96b8fd1"
uuid = "2996bd0c-7a13-11e9-2da2-2f5ce47296a9"
version = "0.3.7"

[[deps.ImageSegmentation]]
deps = ["Clustering", "DataStructures", "Distances", "Graphs", "ImageCore", "ImageFiltering", "ImageMorphology", "LinearAlgebra", "MetaGraphs", "RegionTrees", "SimpleWeightedGraphs", "StaticArrays", "Statistics"]
git-tree-sha1 = "44664eea5408828c03e5addb84fa4f916132fc26"
uuid = "80713f31-8817-5129-9cf8-209ff8fb23e1"
version = "1.8.1"

[[deps.ImageShow]]
deps = ["Base64", "ColorSchemes", "FileIO", "ImageBase", "ImageCore", "OffsetArrays", "StackViews"]
git-tree-sha1 = "3b5344bcdbdc11ad58f3b1956709b5b9345355de"
uuid = "4e3cecfd-b093-5904-9786-8bbb286a6a31"
version = "0.3.8"

[[deps.ImageTransformations]]
deps = ["AxisAlgorithms", "ColorVectorSpace", "CoordinateTransformations", "ImageBase", "ImageCore", "Interpolations", "OffsetArrays", "Rotations", "StaticArrays"]
git-tree-sha1 = "8717482f4a2108c9358e5c3ca903d3a6113badc9"
uuid = "02fcd773-0e25-5acc-982a-7f6622650795"
version = "0.9.5"

[[deps.Images]]
deps = ["Base64", "FileIO", "Graphics", "ImageAxes", "ImageBase", "ImageContrastAdjustment", "ImageCore", "ImageDistances", "ImageFiltering", "ImageIO", "ImageMagick", "ImageMetadata", "ImageMorphology", "ImageQualityIndexes", "ImageSegmentation", "ImageShow", "ImageTransformations", "IndirectArrays", "IntegralArrays", "Random", "Reexport", "SparseArrays", "StaticArrays", "Statistics", "StatsBase", "TiledIteration"]
git-tree-sha1 = "5fa9f92e1e2918d9d1243b1131abe623cdf98be7"
uuid = "916415d5-f1e6-5110-898d-aaa5f9f070e0"
version = "0.25.3"

[[deps.Imath_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "0936ba688c6d201805a83da835b55c61a180db52"
uuid = "905a6f67-0a94-5f89-b386-d35d92009cd1"
version = "3.1.11+0"

[[deps.IndirectArrays]]
git-tree-sha1 = "012e604e1c7458645cb8b436f8fba789a51b257f"
uuid = "9b13fd28-a010-5f03-acff-a1bbcff69959"
version = "1.0.0"

[[deps.Inflate]]
git-tree-sha1 = "d1b1b796e47d94588b3757fe84fbf65a5ec4a80d"
uuid = "d25df0c9-e2be-5dd7-82c8-3ad0b3e990b9"
version = "0.1.5"

[[deps.IntegralArrays]]
deps = ["ColorTypes", "FixedPointNumbers", "IntervalSets"]
git-tree-sha1 = "b842cbff3f44804a84fda409745cc8f04c029a20"
uuid = "1d092043-8f09-5a30-832f-7509e371ab51"
version = "0.1.6"

[[deps.IntelOpenMP_jll]]
deps = ["Artifacts", "JLLWrappers", "LazyArtifacts", "Libdl"]
git-tree-sha1 = "10bd689145d2c3b2a9844005d01087cc1194e79e"
uuid = "1d5cc7b8-4909-519e-a0f8-d0f5ad9712d0"
version = "2024.2.1+0"

[[deps.InteractiveUtils]]
deps = ["Markdown"]
uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240"
version = "1.11.0"

[[deps.Interpolations]]
deps = ["Adapt", "AxisAlgorithms", "ChainRulesCore", "LinearAlgebra", "OffsetArrays", "Random", "Ratios", "Requires", "SharedArrays", "SparseArrays", "StaticArrays", "WoodburyMatrices"]
git-tree-sha1 = "721ec2cf720536ad005cb38f50dbba7b02419a15"
uuid = "a98d9a8b-a2ab-59e6-89dd-64a1c18fca59"
version = "0.14.7"

[[deps.IntervalSets]]
git-tree-sha1 = "dba9ddf07f77f60450fe5d2e2beb9854d9a49bd0"
uuid = "8197267c-284f-5f27-9208-e0e47529a953"
version = "0.7.10"
weakdeps = ["Random", "RecipesBase", "Statistics"]

    [deps.IntervalSets.extensions]
    IntervalSetsRandomExt = "Random"
    IntervalSetsRecipesBaseExt = "RecipesBase"
    IntervalSetsStatisticsExt = "Statistics"

[[deps.IrrationalConstants]]
git-tree-sha1 = "630b497eafcc20001bba38a4651b327dcfc491d2"
uuid = "92d709cd-6900-40b7-9082-c6be49f344b6"
version = "0.2.2"

[[deps.IterTools]]
git-tree-sha1 = "42d5f897009e7ff2cf88db414a389e5ed1bdd023"
uuid = "c8e1da08-722c-5040-9ed9-7db0dc04731e"
version = "1.10.0"

[[deps.JLD2]]
deps = ["FileIO", "MacroTools", "Mmap", "OrderedCollections", "PrecompileTools", "Requires", "TranscodingStreams"]
git-tree-sha1 = "a0746c21bdc986d0dc293efa6b1faee112c37c28"
uuid = "033835bb-8acc-5ee8-8aae-3f567f8a3819"
version = "0.4.53"

[[deps.JLFzf]]
deps = ["Pipe", "REPL", "Random", "fzf_jll"]
git-tree-sha1 = "39d64b09147620f5ffbf6b2d3255be3c901bec63"
uuid = "1019f520-868f-41f5-a6de-eb00f4b6a39c"
version = "0.1.8"

[[deps.JLLWrappers]]
deps = ["Artifacts", "Preferences"]
git-tree-sha1 = "be3dc50a92e5a386872a493a10050136d4703f9b"
uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210"
version = "1.6.1"

[[deps.JSON]]
deps = ["Dates", "Mmap", "Parsers", "Unicode"]
git-tree-sha1 = "31e996f0a15c7b280ba9f76636b3ff9e2ae58c9a"
uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6"
version = "0.21.4"

[[deps.JpegTurbo]]
deps = ["CEnum", "FileIO", "ImageCore", "JpegTurbo_jll", "TOML"]
git-tree-sha1 = "fa6d0bcff8583bac20f1ffa708c3913ca605c611"
uuid = "b835a17e-a41a-41e7-81f0-2f016b05efe0"
version = "0.1.5"

[[deps.JpegTurbo_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "25ee0be4d43d0269027024d75a24c24d6c6e590c"
uuid = "aacddb02-875f-59d6-b918-886e6ef4fbf8"
version = "3.0.4+0"

[[deps.LAME_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "170b660facf5df5de098d866564877e119141cbd"
uuid = "c1c5ebd0-6772-5130-a774-d5fcae4a789d"
version = "3.100.2+0"

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

[[deps.LLVMOpenMP_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "78211fb6cbc872f77cad3fc0b6cf647d923f4929"
uuid = "1d63c593-3942-5779-bab2-d838dc0a180e"
version = "18.1.7+0"

[[deps.LZO_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "854a9c268c43b77b0a27f22d7fab8d33cdb3a731"
uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac"
version = "2.10.2+1"

[[deps.LaTeXStrings]]
git-tree-sha1 = "50901ebc375ed41dbf8058da26f9de442febbbec"
uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
version = "1.3.1"

[[deps.Latexify]]
deps = ["Format", "InteractiveUtils", "LaTeXStrings", "MacroTools", "Markdown", "OrderedCollections", "Requires"]
git-tree-sha1 = "ce5f5621cac23a86011836badfedf664a612cee4"
uuid = "23fbe1c1-3f47-55db-b15f-69d7ec21a316"
version = "0.16.5"

    [deps.Latexify.extensions]
    DataFramesExt = "DataFrames"
    SparseArraysExt = "SparseArrays"
    SymEngineExt = "SymEngine"

    [deps.Latexify.weakdeps]
    DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0"
    SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
    SymEngine = "123dc426-2d89-5057-bbad-38513e3affd8"

[[deps.LazyArtifacts]]
deps = ["Artifacts", "Pkg"]
uuid = "4af54fe1-eca0-43a8-85a7-787d91b784e3"
version = "1.11.0"

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

[[deps.LibCURL]]
deps = ["LibCURL_jll", "MozillaCACerts_jll"]
uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21"
version = "0.6.4"

[[deps.LibCURL_jll]]
deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"]
uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0"
version = "8.6.0+0"

[[deps.LibGit2]]
deps = ["Base64", "LibGit2_jll", "NetworkOptions", "Printf", "SHA"]
uuid = "76f85450-5226-5b5a-8eaa-529ad045b433"
version = "1.11.0"

[[deps.LibGit2_jll]]
deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll"]
uuid = "e37daf67-58a4-590a-8e99-b0245dd2ffc5"
version = "1.7.2+0"

[[deps.LibSSH2_jll]]
deps = ["Artifacts", "Libdl", "MbedTLS_jll"]
uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8"
version = "1.11.0+1"

[[deps.Libdl]]
uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb"
version = "1.11.0"

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

[[deps.Libgcrypt_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgpg_error_jll"]
git-tree-sha1 = "8be878062e0ffa2c3f67bb58a595375eda5de80b"
uuid = "d4300ac3-e22c-5743-9152-c294e39db1e4"
version = "1.11.0+0"

[[deps.Libglvnd_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll", "Xorg_libXext_jll"]
git-tree-sha1 = "6f73d1dd803986947b2c750138528a999a6c7733"
uuid = "7e76a0d4-f3c7-5321-8279-8d96eeed0f29"
version = "1.6.0+0"

[[deps.Libgpg_error_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "c6ce1e19f3aec9b59186bdf06cdf3c4fc5f5f3e6"
uuid = "7add5ba3-2f88-524e-9cd5-f83b8a55f7b8"
version = "1.50.0+0"

[[deps.Libiconv_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "61dfdba58e585066d8bce214c5a51eaa0539f269"
uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531"
version = "1.17.0+1"

[[deps.Libmount_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "0c4f9c4f1a50d8f35048fa0532dabbadf702f81e"
uuid = "4b2f31a3-9ecc-558c-b454-b3730dcb73e9"
version = "2.40.1+0"

[[deps.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"

[[deps.Libuuid_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "5ee6203157c120d79034c748a2acba45b82b8807"
uuid = "38a345b3-de98-5d2b-a5d3-14cd9215e700"
version = "2.40.1+0"

[[deps.LinearAlgebra]]
deps = ["Libdl", "OpenBLAS_jll", "libblastrampoline_jll"]
uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e"
version = "1.11.0"

[[deps.LittleCMS_jll]]
deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pkg"]
git-tree-sha1 = "110897e7db2d6836be22c18bffd9422218ee6284"
uuid = "d3a379c0-f9a3-5b72-a4c0-6bf4d2e8af0f"
version = "2.12.0+0"

[[deps.LogExpFunctions]]
deps = ["DocStringExtensions", "IrrationalConstants", "LinearAlgebra"]
git-tree-sha1 = "a2d09619db4e765091ee5c6ffe8872849de0feea"
uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
version = "0.3.28"

    [deps.LogExpFunctions.extensions]
    LogExpFunctionsChainRulesCoreExt = "ChainRulesCore"
    LogExpFunctionsChangesOfVariablesExt = "ChangesOfVariables"
    LogExpFunctionsInverseFunctionsExt = "InverseFunctions"

    [deps.LogExpFunctions.weakdeps]
    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
    ChangesOfVariables = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0"
    InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"

[[deps.Logging]]
uuid = "56ddb016-857b-54e1-b83d-db4d58db5568"
version = "1.11.0"

[[deps.LoggingExtras]]
deps = ["Dates", "Logging"]
git-tree-sha1 = "f02b56007b064fbfddb4c9cd60161b6dd0f40df3"
uuid = "e6f89c97-d47a-5376-807f-9c37f3926c36"
version = "1.1.0"

[[deps.MIMEs]]
git-tree-sha1 = "65f28ad4b594aebe22157d6fac869786a255b7eb"
uuid = "6c6e2e6c-3030-632d-7369-2d6c69616d65"
version = "0.1.4"

[[deps.MKL_jll]]
deps = ["Artifacts", "IntelOpenMP_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "oneTBB_jll"]
git-tree-sha1 = "f046ccd0c6db2832a9f639e2c669c6fe867e5f4f"
uuid = "856f044c-d86e-5d09-b602-aeab76dc8ba7"
version = "2024.2.0+0"

[[deps.MacroTools]]
deps = ["Markdown", "Random"]
git-tree-sha1 = "2fa9ee3e63fd3a4f7a9a4f4744a52f4856de82df"
uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09"
version = "0.5.13"

[[deps.MappedArrays]]
git-tree-sha1 = "2dab0221fe2b0f2cb6754eaa743cc266339f527e"
uuid = "dbb5928d-eab1-5f90-85c2-b9b0edb7c900"
version = "0.4.2"

[[deps.Markdown]]
deps = ["Base64"]
uuid = "d6f4376e-aef5-505a-96c1-9c027394607a"
version = "1.11.0"

[[deps.MbedTLS]]
deps = ["Dates", "MbedTLS_jll", "MozillaCACerts_jll", "NetworkOptions", "Random", "Sockets"]
git-tree-sha1 = "c067a280ddc25f196b5e7df3877c6b226d390aaf"
uuid = "739be429-bea8-5141-9913-cc70e7f3736d"
version = "1.1.9"

[[deps.MbedTLS_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1"
version = "2.28.6+0"

[[deps.Measures]]
git-tree-sha1 = "c13304c81eec1ed3af7fc20e75fb6b26092a1102"
uuid = "442fdcdd-2543-5da2-b0f3-8c86c306513e"
version = "0.3.2"

[[deps.MetaGraphs]]
deps = ["Graphs", "JLD2", "Random"]
git-tree-sha1 = "1130dbe1d5276cb656f6e1094ce97466ed700e5a"
uuid = "626554b9-1ddb-594c-aa3c-2596fe9399a5"
version = "0.7.2"

[[deps.Missings]]
deps = ["DataAPI"]
git-tree-sha1 = "ec4f7fbeab05d7747bdf98eb74d130a2a2ed298d"
uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28"
version = "1.2.0"

[[deps.Mmap]]
uuid = "a63ad114-7e13-5084-954f-fe012c677804"
version = "1.11.0"

[[deps.MosaicViews]]
deps = ["MappedArrays", "OffsetArrays", "PaddedViews", "StackViews"]
git-tree-sha1 = "7b86a5d4d70a9f5cdf2dacb3cbe6d251d1a61dbe"
uuid = "e94cdb99-869f-56ef-bcf0-1ae2bcbe0389"
version = "0.3.4"

[[deps.MozillaCACerts_jll]]
uuid = "14a3606d-f60d-562e-9121-12d972cd8159"
version = "2023.12.12"

[[deps.NaNMath]]
deps = ["OpenLibm_jll"]
git-tree-sha1 = "0877504529a3e5c3343c6f8b4c0381e57e4387e4"
uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
version = "1.0.2"

[[deps.NearestNeighbors]]
deps = ["Distances", "StaticArrays"]
git-tree-sha1 = "3cebfc94a0754cc329ebc3bab1e6c89621e791ad"
uuid = "b8a86587-4115-5ab1-83bc-aa920d37bbce"
version = "0.4.20"

[[deps.Netpbm]]
deps = ["FileIO", "ImageCore", "ImageMetadata"]
git-tree-sha1 = "d92b107dbb887293622df7697a2223f9f8176fcd"
uuid = "f09324ee-3d7c-5217-9330-fc30815ba969"
version = "1.1.1"

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

[[deps.OffsetArrays]]
git-tree-sha1 = "1a27764e945a152f7ca7efa04de513d473e9542e"
uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881"
version = "1.14.1"
weakdeps = ["Adapt"]

    [deps.OffsetArrays.extensions]
    OffsetArraysAdaptExt = "Adapt"

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

[[deps.OpenBLAS_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "Libdl"]
uuid = "4536629a-c528-5b80-bd46-f80d51c5b363"
version = "0.3.27+1"

[[deps.OpenEXR]]
deps = ["Colors", "FileIO", "OpenEXR_jll"]
git-tree-sha1 = "97db9e07fe2091882c765380ef58ec553074e9c7"
uuid = "52e1d378-f018-4a11-a4be-720524705ac7"
version = "0.3.3"

[[deps.OpenEXR_jll]]
deps = ["Artifacts", "Imath_jll", "JLLWrappers", "Libdl", "Zlib_jll"]
git-tree-sha1 = "8292dd5c8a38257111ada2174000a33745b06d4e"
uuid = "18a262bb-aa17-5467-a713-aee519bc75cb"
version = "3.2.4+0"

[[deps.OpenJpeg_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libtiff_jll", "LittleCMS_jll", "Pkg", "libpng_jll"]
git-tree-sha1 = "76374b6e7f632c130e78100b166e5a48464256f8"
uuid = "643b3616-a352-519d-856d-80112ee9badc"
version = "2.4.0+0"

[[deps.OpenLibm_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "05823500-19ac-5b8b-9628-191a04bc5112"
version = "0.8.1+2"

[[deps.OpenSSL]]
deps = ["BitFlags", "Dates", "MozillaCACerts_jll", "OpenSSL_jll", "Sockets"]
git-tree-sha1 = "38cb508d080d21dc1128f7fb04f20387ed4c0af4"
uuid = "4d8831e6-92b7-49fb-bdf8-b643e874388c"
version = "1.4.3"

[[deps.OpenSSL_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "ad31332567b189f508a3ea8957a2640b1147ab00"
uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
version = "1.1.23+1"

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

[[deps.Opus_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "6703a85cb3781bd5909d48730a67205f3f31a575"
uuid = "91d4177d-7536-5919-b921-800302f37372"
version = "1.3.3+0"

[[deps.OrderedCollections]]
git-tree-sha1 = "dfdf5519f235516220579f949664f1bf44e741c5"
uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d"
version = "1.6.3"

[[deps.PCRE2_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "efcefdf7-47ab-520b-bdef-62a2eaa19f15"
version = "10.42.0+1"

[[deps.PDMats]]
deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"]
git-tree-sha1 = "949347156c25054de2db3b166c52ac4728cbad65"
uuid = "90014a1f-27ba-587c-ab20-58faa44d9150"
version = "0.11.31"

[[deps.PNGFiles]]
deps = ["Base64", "CEnum", "ImageCore", "IndirectArrays", "OffsetArrays", "libpng_jll"]
git-tree-sha1 = "67186a2bc9a90f9f85ff3cc8277868961fb57cbd"
uuid = "f57f5aa1-a3ce-4bc8-8ab9-96f992907883"
version = "0.4.3"

[[deps.PaddedViews]]
deps = ["OffsetArrays"]
git-tree-sha1 = "0fac6313486baae819364c52b4f483450a9d793f"
uuid = "5432bcbf-9aad-5242-b902-cca2824c8663"
version = "0.5.12"

[[deps.Pango_jll]]
deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "FriBidi_jll", "Glib_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl"]
git-tree-sha1 = "e127b609fb9ecba6f201ba7ab753d5a605d53801"
uuid = "36c8627f-9965-5494-a995-c6b170f724f3"
version = "1.54.1+0"

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

[[deps.Parsers]]
deps = ["Dates", "PrecompileTools", "UUIDs"]
git-tree-sha1 = "8489905bcdbcfac64d1daa51ca07c0d8f0283821"
uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0"
version = "2.8.1"

[[deps.Pipe]]
git-tree-sha1 = "6842804e7867b115ca9de748a0cf6b364523c16d"
uuid = "b98c9c47-44ae-5843-9183-064241ee97a0"
version = "1.3.0"

[[deps.Pixman_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "LLVMOpenMP_jll", "Libdl"]
git-tree-sha1 = "35621f10a7531bc8fa58f74610b1bfb70a3cfc6b"
uuid = "30392449-352a-5448-841d-b1acce4e97dc"
version = "0.43.4+0"

[[deps.Pkg]]
deps = ["Artifacts", "Dates", "Downloads", "FileWatching", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "Random", "SHA", "TOML", "Tar", "UUIDs", "p7zip_jll"]
uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f"
version = "1.11.0"
weakdeps = ["REPL"]

    [deps.Pkg.extensions]
    REPLExt = "REPL"

[[deps.PkgVersion]]
deps = ["Pkg"]
git-tree-sha1 = "f9501cc0430a26bc3d156ae1b5b0c1b47af4d6da"
uuid = "eebad327-c553-4316-9ea0-9fa01ccd7688"
version = "0.3.3"

[[deps.PlotThemes]]
deps = ["PlotUtils", "Statistics"]
git-tree-sha1 = "41031ef3a1be6f5bbbf3e8073f210556daeae5ca"
uuid = "ccf2f8ad-2431-5c83-bf29-c5338b663b6a"
version = "3.3.0"

[[deps.PlotUtils]]
deps = ["ColorSchemes", "Colors", "Dates", "PrecompileTools", "Printf", "Random", "Reexport", "StableRNGs", "Statistics"]
git-tree-sha1 = "3ca9a356cd2e113c420f2c13bea19f8d3fb1cb18"
uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
version = "1.4.3"

[[deps.Plots]]
deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "JLFzf", "JSON", "LaTeXStrings", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "PrecompileTools", "Preferences", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "RelocatableFolders", "Requires", "Scratch", "Showoff", "SparseArrays", "Statistics", "StatsBase", "UUIDs", "UnicodeFun", "UnitfulLatexify", "Unzip"]
git-tree-sha1 = "ccee59c6e48e6f2edf8a5b64dc817b6729f99eb5"
uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
version = "1.39.0"

    [deps.Plots.extensions]
    FileIOExt = "FileIO"
    GeometryBasicsExt = "GeometryBasics"
    IJuliaExt = "IJulia"
    ImageInTerminalExt = "ImageInTerminal"
    UnitfulExt = "Unitful"

    [deps.Plots.weakdeps]
    FileIO = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549"
    GeometryBasics = "5c1252a2-5f33-56bf-86c9-59e7332b4326"
    IJulia = "7073ff75-c697-5162-941a-fcdaad2a7d2a"
    ImageInTerminal = "d8c32880-2388-543b-8c61-d9f865259254"
    Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"

[[deps.PlutoUI]]
deps = ["AbstractPlutoDingetjes", "Base64", "ColorTypes", "Dates", "FixedPointNumbers", "Hyperscript", "HypertextLiteral", "IOCapture", "InteractiveUtils", "JSON", "Logging", "MIMEs", "Markdown", "Random", "Reexport", "URIs", "UUIDs"]
git-tree-sha1 = "eba4810d5e6a01f612b948c9fa94f905b49087b0"
uuid = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
version = "0.7.60"

[[deps.PrecompileTools]]
deps = ["Preferences"]
git-tree-sha1 = "5aa36f7049a63a1528fe8f7c3f2113413ffd4e1f"
uuid = "aea7be01-6a6a-4083-8856-8a6e6704d82a"
version = "1.2.1"

[[deps.Preferences]]
deps = ["TOML"]
git-tree-sha1 = "9306f6085165d270f7e3db02af26a400d580f5c6"
uuid = "21216c6a-2e73-6563-6e65-726566657250"
version = "1.4.3"

[[deps.Printf]]
deps = ["Unicode"]
uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7"
version = "1.11.0"

[[deps.ProgressMeter]]
deps = ["Distributed", "Printf"]
git-tree-sha1 = "8f6bc219586aef8baf0ff9a5fe16ee9c70cb65e4"
uuid = "92933f4c-e287-5a05-a399-4b506db050ca"
version = "1.10.2"

[[deps.PtrArrays]]
git-tree-sha1 = "77a42d78b6a92df47ab37e177b2deac405e1c88f"
uuid = "43287f4e-b6f4-7ad1-bb20-aadabca52c3d"
version = "1.2.1"

[[deps.QOI]]
deps = ["ColorTypes", "FileIO", "FixedPointNumbers"]
git-tree-sha1 = "8b3fc30bc0390abdce15f8822c889f669baed73d"
uuid = "4b34888f-f399-49d4-9bb3-47ed5cae4e65"
version = "1.0.1"

[[deps.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 = "0c03844e2231e12fda4d0086fd7cbe4098ee8dc5"
uuid = "ea2cea3b-5b76-57ae-a6ef-0a8af62496e1"
version = "5.15.3+2"

[[deps.QuadGK]]
deps = ["DataStructures", "LinearAlgebra"]
git-tree-sha1 = "cda3b045cf9ef07a08ad46731f5a3165e56cf3da"
uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc"
version = "2.11.1"

    [deps.QuadGK.extensions]
    QuadGKEnzymeExt = "Enzyme"

    [deps.QuadGK.weakdeps]
    Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"

[[deps.Quaternions]]
deps = ["LinearAlgebra", "Random", "RealDot"]
git-tree-sha1 = "994cc27cdacca10e68feb291673ec3a76aa2fae9"
uuid = "94ee1d12-ae83-5a48-8b1c-48b8ff168ae0"
version = "0.7.6"

[[deps.REPL]]
deps = ["InteractiveUtils", "Markdown", "Sockets", "StyledStrings", "Unicode"]
uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb"
version = "1.11.0"

[[deps.Random]]
deps = ["SHA"]
uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c"
version = "1.11.0"

[[deps.RangeArrays]]
git-tree-sha1 = "b9039e93773ddcfc828f12aadf7115b4b4d225f5"
uuid = "b3c3ace0-ae52-54e7-9d0b-2c1406fd6b9d"
version = "0.3.2"

[[deps.Ratios]]
deps = ["Requires"]
git-tree-sha1 = "1342a47bf3260ee108163042310d26f2be5ec90b"
uuid = "c84ed2f1-dad5-54f0-aa8e-dbefe2724439"
version = "0.4.5"
weakdeps = ["FixedPointNumbers"]

    [deps.Ratios.extensions]
    RatiosFixedPointNumbersExt = "FixedPointNumbers"

[[deps.RealDot]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "9f0a1b71baaf7650f4fa8a1d168c7fb6ee41f0c9"
uuid = "c1ae055f-0cd5-4b69-90a6-9a35b1a98df9"
version = "0.1.0"

[[deps.RecipesBase]]
deps = ["PrecompileTools"]
git-tree-sha1 = "5c3d09cc4f31f5fc6af001c250bf1278733100ff"
uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01"
version = "1.3.4"

[[deps.RecipesPipeline]]
deps = ["Dates", "NaNMath", "PlotUtils", "PrecompileTools", "RecipesBase"]
git-tree-sha1 = "45cf9fd0ca5839d06ef333c8201714e888486342"
uuid = "01d81517-befc-4cb6-b9ec-a95719d0359c"
version = "0.6.12"

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

[[deps.RegionTrees]]
deps = ["IterTools", "LinearAlgebra", "StaticArrays"]
git-tree-sha1 = "4618ed0da7a251c7f92e869ae1a19c74a7d2a7f9"
uuid = "dee08c22-ab7f-5625-9660-a9af2021b33f"
version = "0.3.2"

[[deps.RelocatableFolders]]
deps = ["SHA", "Scratch"]
git-tree-sha1 = "ffdaf70d81cf6ff22c2b6e733c900c3321cab864"
uuid = "05181044-ff0b-4ac5-8273-598c1e38db00"
version = "1.0.1"

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

[[deps.Rmath]]
deps = ["Random", "Rmath_jll"]
git-tree-sha1 = "852bd0f55565a9e973fcfee83a84413270224dc4"
uuid = "79098fc4-a85e-5d69-aa6a-4863f24498fa"
version = "0.8.0"

[[deps.Rmath_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "58cdd8fb2201a6267e1db87ff148dd6c1dbd8ad8"
uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f"
version = "0.5.1+0"

[[deps.Rotations]]
deps = ["LinearAlgebra", "Quaternions", "Random", "StaticArrays"]
git-tree-sha1 = "5680a9276685d392c87407df00d57c9924d9f11e"
uuid = "6038ab10-8711-5258-84ad-4b1120ba62dc"
version = "1.7.1"
weakdeps = ["RecipesBase"]

    [deps.Rotations.extensions]
    RotationsRecipesBaseExt = "RecipesBase"

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

[[deps.SIMD]]
deps = ["PrecompileTools"]
git-tree-sha1 = "98ca7c29edd6fc79cd74c61accb7010a4e7aee33"
uuid = "fdea26ae-647d-5447-a871-4b548cad5224"
version = "3.6.0"

[[deps.Scratch]]
deps = ["Dates"]
git-tree-sha1 = "3bac05bc7e74a75fd9cba4295cde4045d9fe2386"
uuid = "6c6a2e73-6563-6170-7368-637461726353"
version = "1.2.1"

[[deps.Serialization]]
uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b"
version = "1.11.0"

[[deps.SharedArrays]]
deps = ["Distributed", "Mmap", "Random", "Serialization"]
uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383"
version = "1.11.0"

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

[[deps.SimpleBufferStream]]
git-tree-sha1 = "f305871d2f381d21527c770d4788c06c097c9bc1"
uuid = "777ac1f9-54b0-4bf8-805c-2214025038e7"
version = "1.2.0"

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

[[deps.SimpleWeightedGraphs]]
deps = ["Graphs", "LinearAlgebra", "Markdown", "SparseArrays"]
git-tree-sha1 = "4b33e0e081a825dbfaf314decf58fa47e53d6acb"
uuid = "47aef6b3-ad0c-573a-a1e2-d07658019622"
version = "1.4.0"

[[deps.Sixel]]
deps = ["Dates", "FileIO", "ImageCore", "IndirectArrays", "OffsetArrays", "REPL", "libsixel_jll"]
git-tree-sha1 = "2da10356e31327c7096832eb9cd86307a50b1eb6"
uuid = "45858cf5-a6b0-47a3-bbea-62219f50df47"
version = "0.1.3"

[[deps.Sockets]]
uuid = "6462fe0b-24de-5631-8697-dd941f90decc"
version = "1.11.0"

[[deps.SortingAlgorithms]]
deps = ["DataStructures"]
git-tree-sha1 = "66e0a8e672a0bdfca2c3f5937efb8538b9ddc085"
uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c"
version = "1.2.1"

[[deps.SparseArrays]]
deps = ["Libdl", "LinearAlgebra", "Random", "Serialization", "SuiteSparse_jll"]
uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
version = "1.11.0"

[[deps.SpecialFunctions]]
deps = ["IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
git-tree-sha1 = "e2cfc4012a19088254b3950b85c3c1d8882d864d"
uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
version = "2.3.1"
weakdeps = ["ChainRulesCore"]

    [deps.SpecialFunctions.extensions]
    SpecialFunctionsChainRulesCoreExt = "ChainRulesCore"

[[deps.StableRNGs]]
deps = ["Random"]
git-tree-sha1 = "83e6cce8324d49dfaf9ef059227f91ed4441a8e5"
uuid = "860ef19b-820b-49d6-a774-d7a799459cd3"
version = "1.0.2"

[[deps.StackViews]]
deps = ["OffsetArrays"]
git-tree-sha1 = "46e589465204cd0c08b4bd97385e4fa79a0c770c"
uuid = "cae243ae-269e-4f55-b966-ac2d0dc13c15"
version = "0.1.1"

[[deps.StaticArrays]]
deps = ["LinearAlgebra", "PrecompileTools", "Random", "StaticArraysCore"]
git-tree-sha1 = "777657803913ffc7e8cc20f0fd04b634f871af8f"
uuid = "90137ffa-7385-5640-81b9-e52037218182"
version = "1.9.8"
weakdeps = ["ChainRulesCore", "Statistics"]

    [deps.StaticArrays.extensions]
    StaticArraysChainRulesCoreExt = "ChainRulesCore"
    StaticArraysStatisticsExt = "Statistics"

[[deps.StaticArraysCore]]
git-tree-sha1 = "192954ef1208c7019899fbf8049e717f92959682"
uuid = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
version = "1.4.3"

[[deps.Statistics]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "ae3bb1eb3bba077cd276bc5cfc337cc65c3075c0"
uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2"
version = "1.11.1"
weakdeps = ["SparseArrays"]

    [deps.Statistics.extensions]
    SparseArraysExt = ["SparseArrays"]

[[deps.StatsAPI]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "1ff449ad350c9c4cbc756624d6f8a8c3ef56d3ed"
uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0"
version = "1.7.0"

[[deps.StatsBase]]
deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"]
git-tree-sha1 = "5cf7606d6cef84b543b483848d4ae08ad9832b21"
uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91"
version = "0.34.3"

[[deps.StatsFuns]]
deps = ["HypergeometricFunctions", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"]
git-tree-sha1 = "b423576adc27097764a90e163157bcfc9acf0f46"
uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c"
version = "1.3.2"

    [deps.StatsFuns.extensions]
    StatsFunsChainRulesCoreExt = "ChainRulesCore"
    StatsFunsInverseFunctionsExt = "InverseFunctions"

    [deps.StatsFuns.weakdeps]
    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
    InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"

[[deps.StyledStrings]]
uuid = "f489334b-da3d-4c2e-b8f0-e476e12c162b"
version = "1.11.0"

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

[[deps.SuiteSparse_jll]]
deps = ["Artifacts", "Libdl", "libblastrampoline_jll"]
uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c"
version = "7.7.0+0"

[[deps.TOML]]
deps = ["Dates"]
uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76"
version = "1.0.3"

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

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

[[deps.Test]]
deps = ["InteractiveUtils", "Logging", "Random", "Serialization"]
uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
version = "1.11.0"

[[deps.TiffImages]]
deps = ["ColorTypes", "DataStructures", "DocStringExtensions", "FileIO", "FixedPointNumbers", "IndirectArrays", "Inflate", "Mmap", "OffsetArrays", "PkgVersion", "ProgressMeter", "SIMD", "UUIDs"]
git-tree-sha1 = "38f139cc4abf345dd4f22286ec000728d5e8e097"
uuid = "731e570b-9d59-4bfa-96dc-6df516fadf69"
version = "0.10.2"

[[deps.TiledIteration]]
deps = ["OffsetArrays"]
git-tree-sha1 = "5683455224ba92ef59db72d10690690f4a8dc297"
uuid = "06e1c1a7-607b-532d-9fad-de7d9aa2abac"
version = "0.3.1"

[[deps.TranscodingStreams]]
git-tree-sha1 = "0c45878dcfdcfa8480052b6ab162cdd138781742"
uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa"
version = "0.11.3"

[[deps.Tricks]]
git-tree-sha1 = "7822b97e99a1672bfb1b49b668a6d46d58d8cbcb"
uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775"
version = "0.1.9"

[[deps.URIs]]
git-tree-sha1 = "67db6cc7b3821e19ebe75791a9dd19c9b1188f2b"
uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4"
version = "1.5.1"

[[deps.UUIDs]]
deps = ["Random", "SHA"]
uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4"
version = "1.11.0"

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

[[deps.Unicode]]
uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5"
version = "1.11.0"

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

[[deps.Unitful]]
deps = ["Dates", "LinearAlgebra", "Random"]
git-tree-sha1 = "d95fe458f26209c66a187b1114df96fd70839efd"
uuid = "1986cc42-f94f-5a68-af5c-568840ba703d"
version = "1.21.0"

    [deps.Unitful.extensions]
    ConstructionBaseUnitfulExt = "ConstructionBase"
    InverseFunctionsUnitfulExt = "InverseFunctions"

    [deps.Unitful.weakdeps]
    ConstructionBase = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
    InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112"

[[deps.UnitfulLatexify]]
deps = ["LaTeXStrings", "Latexify", "Unitful"]
git-tree-sha1 = "975c354fcd5f7e1ddcc1f1a23e6e091d99e99bc8"
uuid = "45397f5d-5981-4c77-b2b3-fc36d6e9b728"
version = "1.6.4"

[[deps.Unzip]]
git-tree-sha1 = "ca0969166a028236229f63514992fc073799bb78"
uuid = "41fe7b60-77ed-43a1-b4f0-825fd5a5650d"
version = "0.2.0"

[[deps.Wayland_jll]]
deps = ["Artifacts", "EpollShim_jll", "Expat_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg", "XML2_jll"]
git-tree-sha1 = "7558e29847e99bc3f04d6569e82d0f5c54460703"
uuid = "a2964d1f-97da-50d4-b82a-358c7fce9d89"
version = "1.21.0+1"

[[deps.Wayland_protocols_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "93f43ab61b16ddfb2fd3bb13b3ce241cafb0e6c9"
uuid = "2381bf8a-dfd0-557d-9999-79630e7b1b91"
version = "1.31.0+0"

[[deps.WoodburyMatrices]]
deps = ["LinearAlgebra", "SparseArrays"]
git-tree-sha1 = "5f24e158cf4cee437052371455fe361f526da062"
uuid = "efce3f68-66dc-5838-9240-27a6d6f5f9b6"
version = "0.5.6"

[[deps.XML2_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Zlib_jll"]
git-tree-sha1 = "6a451c6f33a176150f315726eba8b92fbfdb9ae7"
uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a"
version = "2.13.4+0"

[[deps.XSLT_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "XML2_jll", "Zlib_jll"]
git-tree-sha1 = "a54ee957f4c86b526460a720dbc882fa5edcbefc"
uuid = "aed1982a-8fda-507f-9586-7b0439959a61"
version = "1.1.41+0"

[[deps.Xorg_libX11_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxcb_jll", "Xorg_xtrans_jll"]
git-tree-sha1 = "afead5aba5aa507ad5a3bf01f58f82c8d1403495"
uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc"
version = "1.8.6+0"

[[deps.Xorg_libXau_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "6035850dcc70518ca32f012e46015b9beeda49d8"
uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec"
version = "1.0.11+0"

[[deps.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"

[[deps.Xorg_libXdmcp_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "34d526d318358a859d7de23da945578e8e8727b7"
uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
version = "1.1.4+0"

[[deps.Xorg_libXext_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
git-tree-sha1 = "d2d1a5c49fae4ba39983f63de6afcbea47194e85"
uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3"
version = "1.3.6+0"

[[deps.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"

[[deps.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"

[[deps.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"

[[deps.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"

[[deps.Xorg_libXrender_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
git-tree-sha1 = "47e45cd78224c53109495b3e324df0c37bb61fbe"
uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa"
version = "0.9.11+0"

[[deps.Xorg_libpthread_stubs_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "8fdda4c692503d44d04a0603d9ac0982054635f9"
uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74"
version = "0.1.1+0"

[[deps.Xorg_libxcb_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"]
git-tree-sha1 = "bcd466676fef0878338c61e655629fa7bbc69d8e"
uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
version = "1.17.0+0"

[[deps.Xorg_libxkbfile_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
git-tree-sha1 = "730eeca102434283c50ccf7d1ecdadf521a765a4"
uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a"
version = "1.1.2+0"

[[deps.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"

[[deps.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"

[[deps.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"

[[deps.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"

[[deps.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"

[[deps.Xorg_xkbcomp_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxkbfile_jll"]
git-tree-sha1 = "330f955bc41bb8f5270a369c473fc4a5a4e4d3cb"
uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4"
version = "1.4.6+0"

[[deps.Xorg_xkeyboard_config_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_xkbcomp_jll"]
git-tree-sha1 = "691634e5453ad362044e2ad653e79f3ee3bb98c3"
uuid = "33bec58e-1273-512f-9401-5d533626f822"
version = "2.39.0+0"

[[deps.Xorg_xtrans_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "e92a1a012a10506618f10b7047e478403a046c77"
uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
version = "1.5.0+0"

[[deps.Zlib_jll]]
deps = ["Libdl"]
uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
version = "1.2.13+1"

[[deps.Zstd_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "555d1076590a6cc2fdee2ef1469451f872d8b41b"
uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
version = "1.5.6+1"

[[deps.fzf_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "936081b536ae4aa65415d869287d43ef3cb576b2"
uuid = "214eeab7-80f7-51ab-84ad-2988db7cef09"
version = "0.53.0+0"

[[deps.libaom_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "1827acba325fdcdf1d2647fc8d5301dd9ba43a9d"
uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b"
version = "3.9.0+0"

[[deps.libass_jll]]
deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Zlib_jll"]
git-tree-sha1 = "e17c115d55c5fbb7e52ebedb427a0dca79d4484e"
uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0"
version = "0.15.2+0"

[[deps.libblastrampoline_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
version = "5.11.0+0"

[[deps.libdecor_jll]]
deps = ["Artifacts", "Dbus_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "Pango_jll", "Wayland_jll", "xkbcommon_jll"]
git-tree-sha1 = "9bf7903af251d2050b467f76bdbe57ce541f7f4f"
uuid = "1183f4f0-6f2a-5f1a-908b-139f9cdfea6f"
version = "0.2.2+0"

[[deps.libfdk_aac_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "8a22cf860a7d27e4f3498a0fe0811a7957badb38"
uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
version = "2.0.3+0"

[[deps.libpng_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Zlib_jll"]
git-tree-sha1 = "b70c870239dc3d7bc094eb2d6be9b73d27bef280"
uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
version = "1.6.44+0"

[[deps.libsixel_jll]]
deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Pkg", "libpng_jll"]
git-tree-sha1 = "7dfa0fd9c783d3d0cc43ea1af53d69ba45c447df"
uuid = "075b6546-f08a-558a-be8f-8157d0f608a5"
version = "1.10.3+1"

[[deps.libvorbis_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"]
git-tree-sha1 = "490376214c4721cdaca654041f635213c6165cb3"
uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
version = "1.3.7+2"

[[deps.nghttp2_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
version = "1.59.0+0"

[[deps.oneTBB_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "7d0ea0f4895ef2f5cb83645fa689e52cb55cf493"
uuid = "1317d2d5-d96f-522e-a858-c73665f53c3e"
version = "2021.12.0+0"

[[deps.p7zip_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
version = "17.4.0+2"

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

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

[[deps.xkbcommon_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"]
git-tree-sha1 = "9c304562909ab2bab0262639bd4f444d7bc2be37"
uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd"
version = "1.4.1+1"
"""

# ╔═╡ Cell order:
# ╟─b5584493-1ef6-4d81-8a35-f8dbdcd6b94d
# ╟─1f47b590-7b8b-45d1-8f3a-ef6ac4c232df
# ╠═d4c4dc1a-2d36-11ec-2796-c162f03598f0
# ╠═313f5918-1e94-45a6-b1fd-29c9b5aaf35d
# ╟─21b8e04a-9e37-4040-b3e2-df2436e1960a
# ╠═9d4c6014-48de-4013-ac2f-84f7adb953f8
# ╠═8b4fdbb6-991f-4798-b293-e3f0d2a9d608
# ╠═341c7295-87ba-4c93-b1a3-2cd2dc69402e
# ╠═77850345-a159-4bcc-9403-b194fd4d9134
# ╟─d7e38b79-c876-4eb2-9c01-5806ffbb9755
# ╠═c1b18124-89dc-48c8-b506-ae71687de9dd
# ╟─46d52da5-157c-4910-97a5-44188224178a
# ╠═3d384485-a3a9-4a8d-afb1-8377cbe3e63b
# ╠═622f6669-7c25-4acd-bbff-6bdc0b4f4019
# ╠═52aaf20c-69d3-4021-8966-4796933addcc
# ╟─15291967-a58b-4c0c-b066-2a1b53675d15
# ╠═815a40e8-c528-4384-a4ec-e71724891ed1
# ╠═f2c0b6a7-e485-4f3e-8f62-0b8d38d666c3
# ╠═167c3bf2-63f5-49d9-ab25-8f50ee0e8c62
# ╠═935d78a0-7094-4b99-b0ec-ac6352c29794
# ╠═6d9c7cbf-49a1-493a-ab80-8d620c636286
# ╟─4e908822-c013-484e-8801-3833f6cb6c5b
# ╟─03c0fdf8-7c01-4f0e-893e-e8415edeeb25
# ╠═afc35470-768c-49f1-a3b8-43566228822e
# ╠═bfe78dd0-d4c8-40ff-8ad3-88f45a6490c8
# ╠═e36e8b9f-c383-4915-97cb-c57c7ab755e2
# ╠═904a3da5-5b0f-46af-98ad-f262d3f1afb5
# ╟─db122a84-32da-4f2c-b268-3b2b3355007c
# ╟─a2aa704a-ebad-4b71-b589-84908481cc70
# ╠═5e47a00b-a38e-4071-b44b-eb1b5661b968
# ╠═7782eb6b-e604-4990-867e-0fc6cde3558e
# ╠═939ed01e-9894-4a94-b673-ca027a3c8ec8
# ╟─e1905483-99a9-4d54-9718-b8da8c7f5c8f
# ╟─f0c0b737-52ce-4980-9a0d-8dbaeebc9cee
# ╠═df0ad4e6-761f-4d6a-a763-675542f0c2ed
# ╠═9a97b92f-11a5-43da-ae20-4e68683c2628
# ╠═41e5264d-9047-4755-b185-ee874d963d0b
# ╟─1ee21390-e0c3-42e4-b079-d8ba6db7b331
# ╠═34b6361c-c631-4509-84df-3acbd468b2d0
# ╠═7ed16d08-9925-4959-adb1-a297283891bd
# ╟─3e2fed99-ad01-435a-8d4e-857d4fbc5d96
# ╠═a33e5804-3155-4e1e-b3f0-11f28d69fb5e
# ╟─e2025ac1-033b-4678-bce5-2ab2709cf4fc
# ╠═5ae63cc2-055f-4308-8434-ad3dccfeecbc
# ╠═4270d02f-891c-41a0-bc15-a011893103d6
# ╠═fd4a0cd2-66fb-4dcd-ba2a-0d5395e53657
# ╟─54bdc001-9e8e-4f2a-aa17-69b25dd673c8
# ╠═b889439f-58f7-4059-b57c-b2eef5229124
# ╟─2d523b93-8e42-4655-9b3f-f3c20f1edaf6
# ╠═b1175f17-cfa8-493c-a78e-7d836c46a49c
# ╠═3004a0be-c096-43bb-9541-824ff4dd00f5
# ╠═91171b75-3ab0-4d1b-a72b-c50413de6509
# ╠═de06fca9-d48c-45a0-a351-619364412745
# ╟─00000000-0000-0000-0000-000000000001
# ╟─00000000-0000-0000-0000-000000000002