pluto_numerical_ode.jl

### A Pluto.jl notebook ###
# v0.20.3

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)
    #! format: off
    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
    #! format: on
end

# ╔═╡ 9c4b446a-b42f-4292-91b6-b60b23b464da
begin
	using PlutoUI
	using Plots
	using Symbolics
    using ForwardDiff
	using LaTeXStrings
	using Images
	using TestImages
	using ImageView
	using LinearAlgebra
#	using FFTW
#	using DSP
	using DifferentialEquations
end

# ╔═╡ a1dc1236-a3d4-456a-ab2b-5a3f2bbac38a
md"""
## Numerical Solutions to ODEs 
### 1. Basic Idea
Consider the initial value problem for first order ordinary differential equations of the form

$\frac{du}{dt}=f(t,u), \quad u(0)=u_0,$

where $u(t)$ is an unknown function of $t$, $f(t,u)$ is a given smooth function, and $u_0$ is a given initial data. This initial value problem is equivalent to the integral equation of the form 

$u(t)
=
u_0
+
\int_0^t
f\bigl(s,u(s)\bigr)
ds.$

Let $u(t)$ be a solution to the equation $u^\prime=f(t,u)$. Fix arbitrary $t\in\mathbb{R}$. We denote by $h>0$ the small step size of the approximation methed in $t$. Then we have 

$\begin{aligned}
  u(t+h)
& =
  u(t)
  +
  \int_0^h
  f\bigl(t+s,u(t+s)\bigr)
  ds
\\
& =
  u(t)
  +
  hf\bigl(t,u(t)\bigr)
  +
  \int_0^h
  \Bigl\{
  f\bigl(t+s,u(t+s)\bigr)
  -
  f\bigl(t,u(t)\bigr)
  \Bigr\}
  ds
\\
& =
  u(t)
  +
  hf\bigl(t,u(t)\bigr)
  +
  R
  +
  Q,
\\
  R
& =
  \int_0^h
  \Bigl\{
  f\Bigl(t+s,u(t)+sf\bigl(t,u(t)\bigr)\Bigr)
  -
  f\bigl(t,u(t)\bigr)
  \Bigr\}
  ds,
\\
  Q
& =
  \int_0^h
  \Bigl\{
  f\bigl(t+s,u(t+s)\bigr)
  -
  f\Bigl(t+s,u(t)+sf\bigl(t,u(t)\bigr)\Bigr)
  \Bigr\}
  ds.
\end{aligned}$

Taylor's theorem implies that 

$\begin{aligned}
  R
& =
  \int_0^h
  \Bigl\{
  sf_t\bigl(t,u(t)\bigr)
  +
  sf\bigl(t,u(t)\bigr)
  f_u\bigl(t,u(t)\bigr)
  +
  \mathcal{O}(s^2)
  \Bigr\}
  ds
 \\
& =
  \frac{h^2}{2}
  \Bigl\{
  f_t\bigl(t,u(t)\bigr)
  +
  f\bigl(t,u(t)\bigr)
  f_u\bigl(t,u(t)\bigr)
  \Bigr\}
  + 
  \mathcal{O}(h^3).
\end{aligned}$

Since $u(t)$ is a solution to $u^\prime=f(t,u)$, we deduce by Taylor's formula that 

$u(t+s)-u(t)-sf\bigl(t,u(t)\bigr)
=
u(t+s)-u(t)-su^\prime(t)
=
\mathcal{O}(s^2).$

Hence, by using the mean value theorem, we deduce that 

$\begin{aligned}
  Q
& =
  \int_0^h
  f_u(t+s,\dotsb)
  \Bigl\{
  u(t+s)-u(t)-sf\bigl(t,u(t)\bigr)
  \Bigr\}
  ds
\\
& =
  \int_0^h
  \mathcal{O}(s^2)
  ds
  =
  \mathcal{O}(h^3)
\end{aligned}$

Combining the above results, we obtain 

$\begin{aligned}
  u(t+h)
& =
  u(t)
  +
  hf\bigl(t,u(t)\bigr)
\\
& +
  \frac{h^2}{2}
  \Bigl\{
  f_t\bigl(t,u(t)\bigr)
  +
  f\bigl(t,u(t)\bigr)
  f_u\bigl(t,u(t)\bigr)
  \Bigr\}
  + 
  \mathcal{O}(h^3)
\\
& =
  u(t)
  +
  hf\bigl(t,u(t)\bigr)
  +
  \mathcal{O}(h^2).
\end{aligned}$

"""

# ╔═╡ 1e72b8d9-b161-4f31-92e1-b90a25a02a35
md""" 
### 2. The Euler Method
Let $h>0$ be a step size in $t$. The approximate solution is denoted by 

$U_0:=u_0. 
\quad
U_j \simeq u(jh),
\quad
j=1,2,3,\dotsc.$

We set 

$F_j:=f(jh,U_j),
\quad
F_{t,j}:=f_t(jh,U_j),
\quad
F_{u,j}:=f_u(jh,U_j),
\quad
j=0,1,2,\dotsc.$


#### The Euler Method
If we neglect $\mathcal{O}(h^2)$ and employ

$u(t+h)
\simeq
u(t)
+
hf\bigl(t,u(t)\bigr),$

then the approximation scheme is 

$U_{j+1}:=U_j+hF_j, \quad j=0,1,2,\dotsc.$

#### The Second Order Version
If we neglect $\mathcal{O}(h^3)$ and employ 

$u(t+h)
\simeq
u(t)
+
hf\bigl(t,u(t)\bigr)
+
\frac{h^2}{2}
\Bigl\{
f_t\bigl(t,u(t)\bigr)
+
f\bigl(t,u(t)\bigr)
f_u\bigl(t,u(t)\bigr)
\Bigr\},$

then the approximation scheme is 

$U_{j+1}:=U_j+hF_j+\frac{h^2}{2}(F_{t,j}+F_jF_{u,j}), \quad j=0,1,2,\dotsc.$

"""

# ╔═╡ 8f3a2089-c44c-450d-8d10-d355c9503ed7
md"""
### 3. $u^\prime=u$, $u(0)=1$, $t\in[0,2]$
The solution and approximation schemes are the following:
- The solution: $u(t)=e^t$.
- The Euler Method: $U_{j+1}=U_j+hU_j$.
- The second Order Version: $U_{j+1}=U_j+hU_j+\dfrac{h^2}{2}U_j$.
"""

# ╔═╡ 8b2273c4-8aa9-401e-a2ad-c3aefedc2ed9
md"""
N = $(@bind N1 Slider(8:1:100, show_value=true, default=10)) 
"""

# ╔═╡ 7f94440a-80e4-4b8e-b5b5-2efc47b5c152
begin
	f1(U0,p,t) = U0;
	tspan1=(0,2);
	U00=1;
    prob1 = ODEProblem(f1,U00,tspan1);
    sol1 = solve(prob1, maxiters=Int(1e6));
	
	h1=2/N1;
	U1=zeros(N1+1);
	U2=zeros(N1+1);
	U3=zeros(N1+1);
	U1[1]=1;
    U2[1]=1;
	U3[1]=1;
	for j=1:N1
		U1[j+1]=sol1(j*h1);
		U2[j+1]=(1+h1)*U2[j];
		U3[j+1]=(1+h1+h1^2/2)*U3[j];
	end
	
	plot([U1,U2,U3],
		 grid=false,
		 linewidth=2,
		 title="Solution to u'=u and approximations with h=2/N",
		 ylim=(-0.1,9),
         xticks = ([1 1+N1/2 1+N1], ["0","1","2"]),
		 xlabel="t",
         yticks = ([0 1 exp(1) exp(2);], ["0","1","e","e^2"]),
		 ylabel="u(t)",
         label=["Exact Solution" "Euler Method" "Second Order Approx"],
	     legend=:topleft,
		 legendfont=font(12))
end

# ╔═╡ 33e36dbc-6682-4de6-a911-7eb2a0ec4f05
md"""
### 4. $u^\prime=u^2$, $u(0)=1$, $t\in[0,1)$
The approximation schemes are the following:
- The solution: $u(t)=\dfrac{1}{1-t}$
- The Euler Method: $U_{j+1}=U_j+hU_j^2$.
- Second Order Version: $U_{j+1}=U_j+hU_j^2+h^2U_j^3$.
"""

# ╔═╡ 5102229f-eb6e-4f07-80dd-cf2a7e151431
md"""
N = $(@bind N2 Slider(20:1:300, show_value=true, default=20)) 
"""

# ╔═╡ 95b1155d-442f-4c7a-a2a4-8fd34e854c62
begin
	f2(V0,p,t) = V0^2;
	tspan2=(0,95);
	V00=1;
    prob2 = ODEProblem(f2,V00,tspan2);
    sol2 = solve(prob2, maxiters=Int(1e6));
	
	h2=0.95/N2;
	V1=zeros(N2+1);
	V2=zeros(N2+1);
	V3=zeros(N2+1);
	V1[1]=1;
    V2[1]=1;
	V3[1]=1;
	for j=1:N2
		V1[j+1]=sol2(j*h2);
		V2[j+1]=V2[j]+h2*V2[j]*V2[j];
		V3[j+1]=V3[j]+h2*V3[j]^2+h2^2*V3[j]^3;
	end
	
	plot([V1,V2,V3],
		 grid=false,
		 linewidth=2,
		 title="Solution to u'=u^2 and approximations with h=0.95/N",
		 xlim=(1,N2/0.95),
		 ylim=(0,10),
         xticks = ([1 N2/0.95], ["0","1"]),
		 xlabel="t",
         yticks = ([0 1 5 10], ["0","1","5","10"]),
		 ylabel="u(t)",
         label=["Exact Solution" "Euler Method" "Second Order Approx"],
	     legend=:topleft,
		 legendfont=font(12))
end

# ╔═╡ a9f38308-8483-4b3a-9160-f2622027c7e2
md"""
### 5. Julia ODE Solvers
The Julia Programming Language has an ODE solver package: DifferentialEquations.jl. It solve the initial value problem, and integrate the equation or the system step by step.

We solve the initial value problem for the SIR model for infection disease of the form 

$\frac{dS}{dt}=-\beta IS,
\quad
\frac{dI}{dt}=\beta IS - \gamma I,
\quad
\frac{dR}{dt}=\gamma I,$

where $S(t)$, $I(t)$ and $R(t)$ are real-value unknown functions of $t$, and $\beta$ and $\gamma$ are positive constants. In mathematical epidemiology, $t$ is time, $S(t)$ is the number of susceptible people, $I(t)$ is the number of people infected,  $R(t)$ is the number of people who have recovered and developed immunity to the infection, $\beta$ is the infection rate, and $\gamma$ is the recovery rate. 

Since $\dfrac{d}{dt}(S+I+R)=0$, the total poputation $N:=S+I+R$ is preserved in this model. So we rewrite as 

$S:=S/N, \quad I:=I/N, \quad R:=R/N, \quad \beta:=\beta{N}, \quad \gamma:=\gamma$

Then we have apparently the same system 

$\frac{dS}{dt}=-\beta IS,
\quad
\frac{dI}{dt}=\beta IS - \gamma I,
\quad
\frac{dR}{dt}=\gamma I.$

In this setting 

$\rho_e(t):=\frac{\beta S(t)}{\gamma},
\quad
\rho_0:=\frac{\beta}{\gamma}$

are said to be the effective reproduction number and the basic reproduction number respectively. Note that the equation of $I(t)$ is

$\frac{dI}{dt}=\gamma\bigl(\rho_e(t)-1\bigr)I,$

and that the signature of $\rho_e(t)-1$ shows the increase/decrease of the number of active cases $I(t)$. For this reason $\rho_e(t)$ is the most important function in mathematical epidemiology.  


"""

# ╔═╡ 50acd500-9650-4b2d-bea8-1a60389a66b9
md"""
### 6. $u^{\prime\prime}+2\gamma{u^\prime}+k^2u=\sin(\omega{t})$, $\gamma,k,\omega\geqq0$

Note that the roots of the characteristic polynomial $z^2+2\gamma{z}+k^2z$ is 

$-\gamma \pm \sqrt{\gamma-k^2}.$


"""

# ╔═╡ fbf65b8a-2221-4f28-a9e1-3bea27ce6eaa
md"""
 $u(0)$ = $(@bind u40 Slider(0:0.1:0.5, show_value=true, default=0))

 $u'(0)$ = $(@bind u41 Slider(0:0.1:0.5, show_value=true, default=0))

 $γ$ = $(@bind γ Slider(0:0.1:5, show_value=true, default=0)) 

 $k$ = $(@bind k Slider(0:0.1:5, show_value=true, default=1))

 $ω$ = $(@bind ω Slider(0:0.1:5, show_value=true, default=0.1)) 
"""

# ╔═╡ 59bc7c84-4d39-48cb-8be8-852b66f86524
begin
	f4(W,p,t) = [W[2];-2*γ*W[2]-k^2*W[1]+sin(ω*t)];
	tspan4=(0,10);
	u4=[u40;u41];
    prob4 = ODEProblem(f4,u4,tspan4);
    sol4 = solve(prob4, Tsit5(), reltol=1e-6, abstol=1e-6);
	
	m4,l4=size(sol4);
	for i=1:1
	end
end

# ╔═╡ 8f0ecbc6-1f18-4ca6-ad5e-94db87d0a86b
begin
    nbsp = html"&nbsp"
end

# ╔═╡ b1e6cc97-a684-4cc2-8a53-5514544b453b
md"""
β = $(@bind b Slider(0:0.1:3, show_value=true, default=0.6)) 
$nbsp $nbsp $nbsp
γ = $(@bind g Slider(0:0.1:3, show_value=true, default=0.2))
"""

# ╔═╡ 09e2ec71-24e9-4c42-b073-bff7dac17697
begin
	f(u,p,t) = [-b*u[1]*u[2];b*u[1]*u[2]-g*u[2]; g*u[2]];
	tspan=(0,30);
	u0=[0.99;0.01;0];
    prob = ODEProblem(f,u0,tspan);
    sol = solve(prob, maxiters=Int(1e6));

	plot(sol, 
         grid=false,
         linewidth=2, 
		 xlim=(0,30),
         right_margin=Plots.Measures.Length(:mm, 10.0),
         left_margin=Plots.Measures.Length(:mm, 5.0),
         title="The SIR Model: S'=-βIS, I'=βIS-γI, R'=γI", 
         xlabel="time variable t",
         xticks = ([0 10 20 30], ["0","10","20","30"]), 
         yaxis="population rate",
         legendfont=font(10), 
         label=["S" "I" "R"], 
         palette = :seaborn_bright, 
         legend = :right)
end

# ╔═╡ 6cdb2805-fa4e-4850-afd0-4dbdbba9312f
begin
	plot(sol4[1,:],
		 linewidth=2,
	     grid=false,
	     title="\$u''+2γu'+k^2u=\$sin \$(ωt)\$",
		 ylim=(-4,4),
	     xlabel="\$t\$",
	     ylabel="\$u(t)\$",
	     xticks = ([1 l4/2 l4], ["0","5","10"]),
	     legend=false)

end

# ╔═╡ 00000000-0000-0000-0000-000000000001
PLUTO_PROJECT_TOML_CONTENTS = """
[deps]
DifferentialEquations = "0c46a032-eb83-5123-abaf-570d42b7fbaa"
ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
ImageView = "86fae568-95e7-573e-a6b2-d8a6b900c9ef"
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"
Symbolics = "0c5d862f-8b57-4792-8d23-62f2024744c7"
TestImages = "5e47fb64-e119-507b-a336-dd2b206d9990"
"""

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

julia_version = "1.11.1"
manifest_format = "2.0"
project_hash = "432d180bc513ba3b02e196e4b02c3b1bad51af4e"

[[deps.ADTypes]]
git-tree-sha1 = "eea5d80188827b35333801ef97a40c2ed653b081"
uuid = "47edcb42-4c32-4615-8424-f2b9edc5f35b"
version = "1.9.0"
weakdeps = ["ChainRulesCore", "EnzymeCore"]

    [deps.ADTypes.extensions]
    ADTypesChainRulesCoreExt = "ChainRulesCore"
    ADTypesEnzymeCoreExt = "EnzymeCore"

[[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 = "6e1d2a35f2f90a4bc7c2ed98079b2ba09c35b83a"
uuid = "6e696c72-6542-2067-7265-42206c756150"
version = "1.3.2"

[[deps.AbstractTrees]]
git-tree-sha1 = "2d9c9a55f9c93e8887ad391fbae72f8ef55e1177"
uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c"
version = "0.4.5"

[[deps.Accessors]]
deps = ["CompositionsBase", "ConstructionBase", "InverseFunctions", "LinearAlgebra", "MacroTools", "Markdown"]
git-tree-sha1 = "b392ede862e506d451fc1616e79aa6f4c673dab8"
uuid = "7d9f7c33-5ae7-4f3b-8dc6-eff91059b697"
version = "0.1.38"

    [deps.Accessors.extensions]
    AccessorsAxisKeysExt = "AxisKeys"
    AccessorsDatesExt = "Dates"
    AccessorsIntervalSetsExt = "IntervalSets"
    AccessorsStaticArraysExt = "StaticArrays"
    AccessorsStructArraysExt = "StructArrays"
    AccessorsTestExt = "Test"
    AccessorsUnitfulExt = "Unitful"

    [deps.Accessors.weakdeps]
    AxisKeys = "94b1ba4f-4ee9-5380-92f1-94cde586c3c5"
    Dates = "ade2ca70-3891-5945-98fb-dc099432e06a"
    IntervalSets = "8197267c-284f-5f27-9208-e0e47529a953"
    Requires = "ae029012-a4dd-5104-9daa-d747884805df"
    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
    StructArrays = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
    Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
    Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"

[[deps.Adapt]]
deps = ["LinearAlgebra", "Requires"]
git-tree-sha1 = "50c3c56a52972d78e8be9fd135bfb91c9574c140"
uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e"
version = "4.1.1"
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.ArrayInterface]]
deps = ["Adapt", "LinearAlgebra"]
git-tree-sha1 = "3640d077b6dafd64ceb8fd5c1ec76f7ca53bcf76"
uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9"
version = "7.16.0"

    [deps.ArrayInterface.extensions]
    ArrayInterfaceBandedMatricesExt = "BandedMatrices"
    ArrayInterfaceBlockBandedMatricesExt = "BlockBandedMatrices"
    ArrayInterfaceCUDAExt = "CUDA"
    ArrayInterfaceCUDSSExt = "CUDSS"
    ArrayInterfaceChainRulesExt = "ChainRules"
    ArrayInterfaceGPUArraysCoreExt = "GPUArraysCore"
    ArrayInterfaceReverseDiffExt = "ReverseDiff"
    ArrayInterfaceSparseArraysExt = "SparseArrays"
    ArrayInterfaceStaticArraysCoreExt = "StaticArraysCore"
    ArrayInterfaceTrackerExt = "Tracker"

    [deps.ArrayInterface.weakdeps]
    BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
    BlockBandedMatrices = "ffab5731-97b5-5995-9138-79e8c1846df0"
    CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
    CUDSS = "45b445bb-4962-46a0-9369-b4df9d0f772e"
    ChainRules = "082447d4-558c-5d27-93f4-14fc19e9eca2"
    GPUArraysCore = "46192b85-c4d5-4398-a991-12ede77f4527"
    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
    SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
    StaticArraysCore = "1e83bf80-4336-4d27-bf5d-d5a4f845583c"
    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"

[[deps.ArrayLayouts]]
deps = ["FillArrays", "LinearAlgebra"]
git-tree-sha1 = "492681bc44fac86804706ddb37da10880a2bd528"
uuid = "4c555306-a7a7-4459-81d9-ec55ddd5c99a"
version = "1.10.4"
weakdeps = ["SparseArrays"]

    [deps.ArrayLayouts.extensions]
    ArrayLayoutsSparseArraysExt = "SparseArrays"

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

[[deps.AxisAlgorithms]]
deps = ["LinearAlgebra", "Random", "SparseArrays", "WoodburyMatrices"]
git-tree-sha1 = "01b8ccb13d68535d73d2b0c23e39bd23155fb712"
uuid = "13072b0f-2c55-5437-9ae7-d433b7a33950"
version = "1.1.0"

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

[[deps.BandedMatrices]]
deps = ["ArrayLayouts", "FillArrays", "LinearAlgebra", "PrecompileTools"]
git-tree-sha1 = "a2c85f53ddcb15b4099da59867868bd40f005579"
uuid = "aae01518-5342-5314-be14-df237901396f"
version = "1.7.5"
weakdeps = ["SparseArrays"]

    [deps.BandedMatrices.extensions]
    BandedMatricesSparseArraysExt = "SparseArrays"

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

[[deps.Bijections]]
git-tree-sha1 = "d8b0439d2be438a5f2cd68ec158fe08a7b2595b7"
uuid = "e2ed5e7c-b2de-5872-ae92-c73ca462fb04"
version = "0.1.9"

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

[[deps.BitTwiddlingConvenienceFunctions]]
deps = ["Static"]
git-tree-sha1 = "f21cfd4950cb9f0587d5067e69405ad2acd27b87"
uuid = "62783981-4cbd-42fc-bca8-16325de8dc4b"
version = "0.1.6"

[[deps.BoundaryValueDiffEq]]
deps = ["ADTypes", "Adapt", "ArrayInterface", "BandedMatrices", "ConcreteStructs", "DiffEqBase", "FastAlmostBandedMatrices", "FastClosures", "ForwardDiff", "LineSearch", "LineSearches", "LinearAlgebra", "LinearSolve", "Logging", "NonlinearSolve", "OrdinaryDiffEq", "PreallocationTools", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "Setfield", "SparseArrays", "SparseDiffTools"]
git-tree-sha1 = "8dba4ea86fce8ed94977ed9e56cf5c6d67c494e5"
uuid = "764a87c0-6b3e-53db-9096-fe964310641d"
version = "5.11.0"

    [deps.BoundaryValueDiffEq.extensions]
    BoundaryValueDiffEqODEInterfaceExt = "ODEInterface"

    [deps.BoundaryValueDiffEq.weakdeps]
    ODEInterface = "54ca160b-1b9f-5127-a996-1867f4bc2a2c"

[[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.CPUSummary]]
deps = ["CpuId", "IfElse", "PrecompileTools", "Static"]
git-tree-sha1 = "5a97e67919535d6841172016c9530fd69494e5ec"
uuid = "2a0fbf3d-bb9c-48f3-b0a9-814d99fd7ab9"
version = "0.2.6"

[[deps.Cairo]]
deps = ["Cairo_jll", "Colors", "Glib_jll", "Graphics", "Libdl", "Pango_jll"]
git-tree-sha1 = "7b6ad8c35f4bc3bca8eb78127c8b99719506a5fb"
uuid = "159f3aea-2a34-519c-b102-8c37f9878175"
version = "1.1.0"

[[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.CloseOpenIntervals]]
deps = ["Static", "StaticArrayInterface"]
git-tree-sha1 = "05ba0d07cd4fd8b7a39541e31a7b0254704ea581"
uuid = "fb6a15b2-703c-40df-9091-08a04967cfa9"
version = "0.1.13"

[[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 = "b5278586822443594ff615963b0c09755771b3e0"
uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4"
version = "3.26.0"

[[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.Combinatorics]]
git-tree-sha1 = "08c8b6831dc00bfea825826be0bc8336fc369860"
uuid = "861a8166-3701-5b0c-9a16-15d98fcdc6aa"
version = "1.0.2"

[[deps.CommonSolve]]
git-tree-sha1 = "0eee5eb66b1cf62cd6ad1b460238e60e4b09400c"
uuid = "38540f10-b2f7-11e9-35d8-d573e4eb0ff2"
version = "0.2.4"

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

[[deps.CommonWorldInvalidations]]
git-tree-sha1 = "ae52d1c52048455e85a387fbee9be553ec2b68d0"
uuid = "f70d9fcc-98c5-4d4a-abd7-e4cdeebd8ca8"
version = "1.0.0"

[[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.CompositeTypes]]
git-tree-sha1 = "bce26c3dab336582805503bed209faab1c279768"
uuid = "b152e2b5-7a66-4b01-a709-34e65c35f657"
version = "0.1.4"

[[deps.CompositionsBase]]
git-tree-sha1 = "802bb88cd69dfd1509f6670416bd4434015693ad"
uuid = "a33af91c-f02d-484b-be07-31d278c5ca2b"
version = "0.1.2"
weakdeps = ["InverseFunctions"]

    [deps.CompositionsBase.extensions]
    CompositionsBaseInverseFunctionsExt = "InverseFunctions"

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

[[deps.ConcreteStructs]]
git-tree-sha1 = "f749037478283d372048690eb3b5f92a79432b34"
uuid = "2569d6c7-a4a2-43d3-a901-331e8e4be471"
version = "0.2.3"

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

[[deps.ConstructionBase]]
git-tree-sha1 = "76219f1ed5771adbb096743bff43fb5fdd4c1157"
uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9"
version = "1.5.8"
weakdeps = ["IntervalSets", "LinearAlgebra", "StaticArrays"]

    [deps.ConstructionBase.extensions]
    ConstructionBaseIntervalSetsExt = "IntervalSets"
    ConstructionBaseLinearAlgebraExt = "LinearAlgebra"
    ConstructionBaseStaticArraysExt = "StaticArrays"

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

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

[[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.DelayDiffEq]]
deps = ["ArrayInterface", "DataStructures", "DiffEqBase", "LinearAlgebra", "Logging", "OrdinaryDiffEq", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "SimpleNonlinearSolve", "SimpleUnPack"]
git-tree-sha1 = "066f60231c1b0ae2905ffd2651e207accd91f627"
uuid = "bcd4f6db-9728-5f36-b5f7-82caef46ccdb"
version = "5.48.1"

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

[[deps.DiffEqBase]]
deps = ["ArrayInterface", "ConcreteStructs", "DataStructures", "DocStringExtensions", "EnumX", "EnzymeCore", "FastBroadcast", "FastClosures", "ForwardDiff", "FunctionWrappers", "FunctionWrappersWrappers", "LinearAlgebra", "Logging", "Markdown", "MuladdMacro", "Parameters", "PreallocationTools", "PrecompileTools", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SciMLStructures", "Setfield", "Static", "StaticArraysCore", "Statistics", "TruncatedStacktraces"]
git-tree-sha1 = "f8eefbb7e910f59087c4bb09ce670f235758ee4a"
uuid = "2b5f629d-d688-5b77-993f-72d75c75574e"
version = "6.158.3"

    [deps.DiffEqBase.extensions]
    DiffEqBaseCUDAExt = "CUDA"
    DiffEqBaseChainRulesCoreExt = "ChainRulesCore"
    DiffEqBaseDistributionsExt = "Distributions"
    DiffEqBaseEnzymeExt = ["ChainRulesCore", "Enzyme"]
    DiffEqBaseGeneralizedGeneratedExt = "GeneralizedGenerated"
    DiffEqBaseMPIExt = "MPI"
    DiffEqBaseMeasurementsExt = "Measurements"
    DiffEqBaseMonteCarloMeasurementsExt = "MonteCarloMeasurements"
    DiffEqBaseReverseDiffExt = "ReverseDiff"
    DiffEqBaseSparseArraysExt = "SparseArrays"
    DiffEqBaseTrackerExt = "Tracker"
    DiffEqBaseUnitfulExt = "Unitful"

    [deps.DiffEqBase.weakdeps]
    CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
    Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f"
    Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
    GeneralizedGenerated = "6b9d7cbe-bcb9-11e9-073f-15a7a543e2eb"
    MPI = "da04e1cc-30fd-572f-bb4f-1f8673147195"
    Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
    MonteCarloMeasurements = "0987c9cc-fe09-11e8-30f0-b96dd679fdca"
    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
    SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
    Unitful = "1986cc42-f94f-5a68-af5c-568840ba703d"

[[deps.DiffEqCallbacks]]
deps = ["DataStructures", "DiffEqBase", "ForwardDiff", "Functors", "LinearAlgebra", "Markdown", "NonlinearSolve", "Parameters", "RecipesBase", "RecursiveArrayTools", "SciMLBase", "StaticArraysCore"]
git-tree-sha1 = "19dbd44d18bbfdfcf5e56c99cea9b0ed23df350a"
uuid = "459566f4-90b8-5000-8ac3-15dfb0a30def"
version = "3.9.1"
weakdeps = ["OrdinaryDiffEq", "OrdinaryDiffEqCore", "Sundials"]

[[deps.DiffEqNoiseProcess]]
deps = ["DiffEqBase", "Distributions", "GPUArraysCore", "LinearAlgebra", "Markdown", "Optim", "PoissonRandom", "QuadGK", "Random", "Random123", "RandomNumbers", "RecipesBase", "RecursiveArrayTools", "ResettableStacks", "SciMLBase", "StaticArraysCore", "Statistics"]
git-tree-sha1 = "ab1e6515ce15f01316a9825b02729fefa51726bd"
uuid = "77a26b50-5914-5dd7-bc55-306e6241c503"
version = "5.23.0"

    [deps.DiffEqNoiseProcess.extensions]
    DiffEqNoiseProcessReverseDiffExt = "ReverseDiff"

    [deps.DiffEqNoiseProcess.weakdeps]
    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"

[[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.DifferentialEquations]]
deps = ["BoundaryValueDiffEq", "DelayDiffEq", "DiffEqBase", "DiffEqCallbacks", "DiffEqNoiseProcess", "JumpProcesses", "LinearAlgebra", "LinearSolve", "NonlinearSolve", "OrdinaryDiffEq", "Random", "RecursiveArrayTools", "Reexport", "SciMLBase", "SteadyStateDiffEq", "StochasticDiffEq", "Sundials"]
git-tree-sha1 = "d851f2ca05f3cec9988f081b047a778a58b48aaf"
uuid = "0c46a032-eb83-5123-abaf-570d42b7fbaa"
version = "7.14.0"

[[deps.DifferentiationInterface]]
deps = ["ADTypes", "LinearAlgebra"]
git-tree-sha1 = "95cf94719d2f71ad8b8c7ba3eb0accc978626856"
uuid = "a0c0ee7d-e4b9-4e03-894e-1c5f64a51d63"
version = "0.6.18"

    [deps.DifferentiationInterface.extensions]
    DifferentiationInterfaceChainRulesCoreExt = "ChainRulesCore"
    DifferentiationInterfaceDiffractorExt = "Diffractor"
    DifferentiationInterfaceEnzymeExt = "Enzyme"
    DifferentiationInterfaceFastDifferentiationExt = "FastDifferentiation"
    DifferentiationInterfaceFiniteDiffExt = "FiniteDiff"
    DifferentiationInterfaceFiniteDifferencesExt = "FiniteDifferences"
    DifferentiationInterfaceForwardDiffExt = "ForwardDiff"
    DifferentiationInterfaceMooncakeExt = "Mooncake"
    DifferentiationInterfacePolyesterForwardDiffExt = "PolyesterForwardDiff"
    DifferentiationInterfaceReverseDiffExt = "ReverseDiff"
    DifferentiationInterfaceSparseArraysExt = "SparseArrays"
    DifferentiationInterfaceSparseMatrixColoringsExt = "SparseMatrixColorings"
    DifferentiationInterfaceStaticArraysExt = "StaticArrays"
    DifferentiationInterfaceSymbolicsExt = "Symbolics"
    DifferentiationInterfaceTrackerExt = "Tracker"
    DifferentiationInterfaceZygoteExt = ["Zygote", "ForwardDiff"]

    [deps.DifferentiationInterface.weakdeps]
    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
    Diffractor = "9f5e2b26-1114-432f-b630-d3fe2085c51c"
    Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
    FastDifferentiation = "eb9bf01b-bf85-4b60-bf87-ee5de06c00be"
    FiniteDiff = "6a86dc24-6348-571c-b903-95158fe2bd41"
    FiniteDifferences = "26cc04aa-876d-5657-8c51-4c34ba976000"
    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
    Mooncake = "da2b9cff-9c12-43a0-ae48-6db2b0edb7d6"
    PolyesterForwardDiff = "98d1487c-24ca-40b6-b7ab-df2af84e126b"
    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
    SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
    SparseMatrixColorings = "0a514795-09f3-496d-8182-132a7b665d35"
    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"
    Symbolics = "0c5d862f-8b57-4792-8d23-62f2024744c7"
    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"

[[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 = "d7477ecdafb813ddee2ae727afa94e9dcb5f3fb0"
uuid = "31c24e10-a181-5473-b8eb-7969acd0382f"
version = "0.25.112"

    [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.DomainSets]]
deps = ["CompositeTypes", "IntervalSets", "LinearAlgebra", "Random", "StaticArrays"]
git-tree-sha1 = "490392af2c7d63183bfa2c8aaa6ab981c5ba7561"
uuid = "5b8099bc-c8ec-5219-889f-1d9e522a28bf"
version = "0.7.14"

    [deps.DomainSets.extensions]
    DomainSetsMakieExt = "Makie"

    [deps.DomainSets.weakdeps]
    Makie = "ee78f7c6-11fb-53f2-987a-cfe4a2b5a57a"

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

[[deps.DynamicPolynomials]]
deps = ["Future", "LinearAlgebra", "MultivariatePolynomials", "MutableArithmetics", "Reexport", "Test"]
git-tree-sha1 = "bbf1ace0781d9744cb697fb856bd2c3f6568dadb"
uuid = "7c1d4256-1411-5781-91ec-d7bc3513ac07"
version = "0.6.0"

[[deps.EnumX]]
git-tree-sha1 = "bdb1942cd4c45e3c678fd11569d5cccd80976237"
uuid = "4e289a0a-7415-4d19-859d-a7e5c4648b56"
version = "1.0.4"

[[deps.EnzymeCore]]
git-tree-sha1 = "9c3a42611e525352e9ad5e4134ddca5c692ff209"
uuid = "f151be2c-9106-41f4-ab19-57ee4f262869"
version = "0.8.4"
weakdeps = ["Adapt"]

    [deps.EnzymeCore.extensions]
    AdaptExt = "Adapt"

[[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.ExponentialUtilities]]
deps = ["Adapt", "ArrayInterface", "GPUArraysCore", "GenericSchur", "LinearAlgebra", "PrecompileTools", "Printf", "SparseArrays", "libblastrampoline_jll"]
git-tree-sha1 = "8e18940a5ba7f4ddb41fe2b79b6acaac50880a86"
uuid = "d4d017d3-3776-5f7e-afef-a10c40355c18"
version = "1.26.1"

[[deps.ExprTools]]
git-tree-sha1 = "27415f162e6028e81c72b82ef756bf321213b6ec"
uuid = "e2ba6199-217a-4e67-a87a-7c52f15ade04"
version = "0.1.10"

[[deps.Expronicon]]
deps = ["MLStyle", "Pkg", "TOML"]
git-tree-sha1 = "fc3951d4d398b5515f91d7fe5d45fc31dccb3c9b"
uuid = "6b7a57c9-7cc1-4fdf-b7f5-e857abae3636"
version = "0.8.5"

[[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", "Zlib_jll", "libaom_jll", "libass_jll", "libfdk_aac_jll", "libvorbis_jll", "x264_jll", "x265_jll"]
git-tree-sha1 = "466d45dc38e15794ec7d5d63ec03d776a9aff36e"
uuid = "b22a6f82-2f65-5046-a5b2-351ab43fb4e5"
version = "4.4.4+1"

[[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.FastAlmostBandedMatrices]]
deps = ["ArrayInterface", "ArrayLayouts", "BandedMatrices", "ConcreteStructs", "LazyArrays", "LinearAlgebra", "MatrixFactorizations", "PrecompileTools", "Reexport"]
git-tree-sha1 = "3f03d94c71126b6cfe20d3cbcc41c5cd27e1c419"
uuid = "9d29842c-ecb8-4973-b1e9-a27b1157504e"
version = "0.1.4"

[[deps.FastBroadcast]]
deps = ["ArrayInterface", "LinearAlgebra", "Polyester", "Static", "StaticArrayInterface", "StrideArraysCore"]
git-tree-sha1 = "ab1b34570bcdf272899062e1a56285a53ecaae08"
uuid = "7034ab61-46d4-4ed7-9d0f-46aef9175898"
version = "0.3.5"

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

[[deps.FastLapackInterface]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "cbf5edddb61a43669710cbc2241bc08b36d9e660"
uuid = "29a986be-02c6-4525-aec4-84b980013641"
version = "2.0.4"

[[deps.FastPower]]
git-tree-sha1 = "58c3431137131577a7c379d00fea00be524338fb"
uuid = "a4df4552-cc26-4903-aec0-212e50a0e84b"
version = "1.1.1"

    [deps.FastPower.extensions]
    FastPowerEnzymeExt = "Enzyme"
    FastPowerForwardDiffExt = "ForwardDiff"
    FastPowerMeasurementsExt = "Measurements"
    FastPowerMonteCarloMeasurementsExt = "MonteCarloMeasurements"
    FastPowerReverseDiffExt = "ReverseDiff"
    FastPowerTrackerExt = "Tracker"

    [deps.FastPower.weakdeps]
    Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
    Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
    MonteCarloMeasurements = "0987c9cc-fe09-11e8-30f0-b96dd679fdca"
    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"

[[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.FiniteDiff]]
deps = ["ArrayInterface", "LinearAlgebra", "Setfield"]
git-tree-sha1 = "b10bdafd1647f57ace3885143936749d61638c3b"
uuid = "6a86dc24-6348-571c-b903-95158fe2bd41"
version = "2.26.0"

    [deps.FiniteDiff.extensions]
    FiniteDiffBandedMatricesExt = "BandedMatrices"
    FiniteDiffBlockBandedMatricesExt = "BlockBandedMatrices"
    FiniteDiffSparseArraysExt = "SparseArrays"
    FiniteDiffStaticArraysExt = "StaticArrays"

    [deps.FiniteDiff.weakdeps]
    BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
    BlockBandedMatrices = "ffab5731-97b5-5995-9138-79e8c1846df0"
    SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"

[[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 = "cf0fe81336da9fb90944683b8c41984b08793dad"
uuid = "f6369f11-7733-5829-9624-2563aa707210"
version = "0.10.36"
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.FunctionWrappers]]
git-tree-sha1 = "d62485945ce5ae9c0c48f124a84998d755bae00e"
uuid = "069b7b12-0de2-55c6-9aab-29f3d0a68a2e"
version = "1.1.3"

[[deps.FunctionWrappersWrappers]]
deps = ["FunctionWrappers"]
git-tree-sha1 = "b104d487b34566608f8b4e1c39fb0b10aa279ff8"
uuid = "77dc65aa-8811-40c2-897b-53d922fa7daf"
version = "0.1.3"

[[deps.Functors]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "64d8e93700c7a3f28f717d265382d52fac9fa1c1"
uuid = "d9f16b24-f501-4c13-a1f2-28368ffc5196"
version = "0.4.12"

[[deps.Future]]
deps = ["Random"]
uuid = "9fa8497b-333b-5362-9e8d-4d0656e87820"
version = "1.11.0"

[[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.GPUArraysCore]]
deps = ["Adapt"]
git-tree-sha1 = "ec632f177c0d990e64d955ccc1b8c04c485a0950"
uuid = "46192b85-c4d5-4398-a991-12ede77f4527"
version = "0.1.6"

[[deps.GR]]
deps = ["Artifacts", "Base64", "DelimitedFiles", "Downloads", "GR_jll", "HTTP", "JSON", "Libdl", "LinearAlgebra", "Preferences", "Printf", "Qt6Wayland_jll", "Random", "Serialization", "Sockets", "TOML", "Tar", "Test", "p7zip_jll"]
git-tree-sha1 = "ee28ddcd5517d54e417182fec3886e7412d3926f"
uuid = "28b8d3ca-fb5f-59d9-8090-bfdbd6d07a71"
version = "0.73.8"

[[deps.GR_jll]]
deps = ["Artifacts", "Bzip2_jll", "Cairo_jll", "FFMPEG_jll", "Fontconfig_jll", "FreeType2_jll", "GLFW_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Pixman_jll", "Qt6Base_jll", "Zlib_jll", "libpng_jll"]
git-tree-sha1 = "f31929b9e67066bee48eec8b03c0df47d31a74b3"
uuid = "d2c73de3-f751-5644-a686-071e5b155ba9"
version = "0.73.8+0"

[[deps.GTK4_jll]]
deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "FriBidi_jll", "Glib_jll", "Graphene_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Libepoxy_jll", "Libtiff_jll", "Pango_jll", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libX11_jll", "Xorg_libXcursor_jll", "Xorg_libXdamage_jll", "Xorg_libXext_jll", "Xorg_libXfixes_jll", "Xorg_libXi_jll", "Xorg_libXinerama_jll", "Xorg_libXrandr_jll", "Xorg_libXrender_jll", "gdk_pixbuf_jll", "iso_codes_jll", "xkbcommon_jll"]
git-tree-sha1 = "b13d8bc60311f88b887f7886633fc396134af050"
uuid = "6ebb71f1-8434-552f-b6b1-dc18babcca63"
version = "4.14.5+0"

[[deps.GenericLinearAlgebra]]
deps = ["LinearAlgebra", "Printf", "Random", "libblastrampoline_jll"]
git-tree-sha1 = "c4f9c87b74aedf20920034bd4db81d0bffc527d2"
uuid = "14197337-ba66-59df-a3e3-ca00e7dcff7a"
version = "0.3.14"

[[deps.GenericSchur]]
deps = ["LinearAlgebra", "Printf"]
git-tree-sha1 = "af49a0851f8113fcfae2ef5027c6d49d0acec39b"
uuid = "c145ed77-6b09-5dd9-b285-bf645a82121e"
version = "0.5.4"

[[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.Graphene_jll]]
deps = ["Artifacts", "Glib_jll", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "61850a17f562453e3485a489c9c8cccb3abcab93"
uuid = "75302f13-0b7e-5bab-a6d1-23fa92e4c2ea"
version = "1.10.6+0"

[[deps.Graphics]]
deps = ["Colors", "LinearAlgebra", "NaNMath"]
git-tree-sha1 = "d61890399bc535850c4bf08e4e0d3a7ad0f21cbd"
uuid = "a2bd30eb-e257-5431-a919-1863eab51364"
version = "1.1.2"

[[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.Gtk4]]
deps = ["BitFlags", "CEnum", "Cairo", "Cairo_jll", "ColorTypes", "FixedPointNumbers", "GTK4_jll", "Glib_jll", "Graphene_jll", "Graphics", "JLLWrappers", "Libdl", "Librsvg_jll", "Pango_jll", "Preferences", "Reexport", "Scratch", "Xorg_xkeyboard_config_jll", "adwaita_icon_theme_jll", "gdk_pixbuf_jll", "hicolor_icon_theme_jll", "libpng_jll"]
git-tree-sha1 = "f8500791b0cc02587aaa1456b1d8c17c42d030ab"
uuid = "9db2cae5-386f-4011-9d63-a5602296539b"
version = "0.7.0"

[[deps.GtkObservables]]
deps = ["Cairo", "Colors", "Dates", "FixedPointNumbers", "Graphics", "Gtk4", "IntervalSets", "LinearAlgebra", "Observables", "PrecompileTools", "Reexport", "RoundingIntegers"]
git-tree-sha1 = "001628258ac5908ea87e754f4bfb9fc318ddbaff"
uuid = "8710efd8-4ad6-11eb-33ea-2d5ceb25a41c"
version = "2.1.3"

[[deps.HTTP]]
deps = ["Base64", "CodecZlib", "ConcurrentUtilities", "Dates", "ExceptionUnwrapping", "Logging", "LoggingExtras", "MbedTLS", "NetworkOptions", "OpenSSL", "Random", "SimpleBufferStream", "Sockets", "URIs", "UUIDs"]
git-tree-sha1 = "bc3f416a965ae61968c20d0ad867556367f2817d"
uuid = "cd3eb016-35fb-5094-929b-558a96fad6f3"
version = "1.10.9"

[[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.HistogramThresholding]]
deps = ["ImageBase", "LinearAlgebra", "MappedArrays"]
git-tree-sha1 = "7194dfbb2f8d945abdaf68fa9480a965d6661e69"
uuid = "2c695a8d-9458-5d45-9878-1b8a99cf7853"
version = "0.3.1"

[[deps.HostCPUFeatures]]
deps = ["BitTwiddlingConvenienceFunctions", "IfElse", "Libdl", "Static"]
git-tree-sha1 = "8e070b599339d622e9a081d17230d74a5c473293"
uuid = "3e5b6fbb-0976-4d2c-9146-d79de83f2fb0"
version = "0.1.17"

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

[[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.ImageBinarization]]
deps = ["HistogramThresholding", "ImageCore", "LinearAlgebra", "Polynomials", "Reexport", "Statistics"]
git-tree-sha1 = "33485b4e40d1df46c806498c73ea32dc17475c59"
uuid = "cbc4b850-ae4b-5111-9e64-df94c024a13d"
version = "0.3.1"

[[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.ImageCorners]]
deps = ["ImageCore", "ImageFiltering", "PrecompileTools", "StaticArrays", "StatsBase"]
git-tree-sha1 = "24c52de051293745a9bad7d73497708954562b79"
uuid = "89d5987c-236e-4e32-acd0-25bd6bd87b70"
version = "0.1.3"

[[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", "Libdl", "Pkg", "Random"]
git-tree-sha1 = "5bc1cb62e0c5f1005868358db0692c994c3a13c6"
uuid = "6218d12a-5da1-5696-b52f-db25d2ecc6d1"
version = "1.2.1"

[[deps.ImageMagick_jll]]
deps = ["Artifacts", "Ghostscript_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "OpenJpeg_jll", "Zlib_jll", "libpng_jll"]
git-tree-sha1 = "d65554bad8b16d9562050c67e7223abf91eaba2f"
uuid = "c73af94c-d91f-53ed-93a7-00f77d67a9d7"
version = "6.9.13+0"

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

[[deps.ImageMorphology]]
deps = ["DataStructures", "ImageCore", "LinearAlgebra", "LoopVectorization", "OffsetArrays", "Requires", "TiledIteration"]
git-tree-sha1 = "6f0a801136cb9c229aebea0df296cdcd471dbcd1"
uuid = "787d08f9-d448-5407-9aad-5290dd7ab264"
version = "0.4.5"

[[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", "CoordinateTransformations", "ImageBase", "ImageCore", "Interpolations", "OffsetArrays", "Rotations", "StaticArrays"]
git-tree-sha1 = "e0884bdf01bbbb111aea77c348368a86fb4b5ab6"
uuid = "02fcd773-0e25-5acc-982a-7f6622650795"
version = "0.10.1"

[[deps.ImageView]]
deps = ["AxisArrays", "Cairo", "Compat", "Graphics", "Gtk4", "GtkObservables", "ImageBase", "ImageCore", "ImageMetadata", "MultiChannelColors", "PrecompileTools", "RoundingIntegers", "StatsBase"]
git-tree-sha1 = "e535c709a4fb6f0ae65026fa9bfac624abec016f"
uuid = "86fae568-95e7-573e-a6b2-d8a6b900c9ef"
version = "0.12.6"

[[deps.Images]]
deps = ["Base64", "FileIO", "Graphics", "ImageAxes", "ImageBase", "ImageBinarization", "ImageContrastAdjustment", "ImageCore", "ImageCorners", "ImageDistances", "ImageFiltering", "ImageIO", "ImageMagick", "ImageMetadata", "ImageMorphology", "ImageQualityIndexes", "ImageSegmentation", "ImageShow", "ImageTransformations", "IndirectArrays", "IntegralArrays", "Random", "Reexport", "SparseArrays", "StaticArrays", "Statistics", "StatsBase", "TiledIteration"]
git-tree-sha1 = "12fdd617c7fe25dc4a6cc804d657cc4b2230302b"
uuid = "916415d5-f1e6-5110-898d-aaa5f9f070e0"
version = "0.26.1"

[[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.IntegerMathUtils]]
git-tree-sha1 = "b8ffb903da9f7b8cf695a8bead8e01814aa24b30"
uuid = "18e54dd8-cb9d-406c-a71d-865a43cbb235"
version = "0.1.2"

[[deps.IntegralArrays]]
deps = ["ColorTypes", "FixedPointNumbers", "IntervalSets"]
git-tree-sha1 = "be8e690c3973443bec584db3346ddc904d4884eb"
uuid = "1d092043-8f09-5a30-832f-7509e371ab51"
version = "0.1.5"

[[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 = "88a101217d7cb38a7b481ccd50d21876e1d1b0e0"
uuid = "a98d9a8b-a2ab-59e6-89dd-64a1c18fca59"
version = "0.15.1"
weakdeps = ["Unitful"]

    [deps.Interpolations.extensions]
    InterpolationsUnitfulExt = "Unitful"

[[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.InverseFunctions]]
git-tree-sha1 = "a779299d77cd080bf77b97535acecd73e1c5e5cb"
uuid = "3587e190-3f89-42d0-90ee-14403ec27112"
version = "0.1.17"
weakdeps = ["Dates", "Test"]

    [deps.InverseFunctions.extensions]
    InverseFunctionsDatesExt = "Dates"
    InverseFunctionsTestExt = "Test"

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

[[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.JumpProcesses]]
deps = ["ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "FunctionWrappers", "Graphs", "LinearAlgebra", "Markdown", "PoissonRandom", "Random", "RandomNumbers", "RecursiveArrayTools", "Reexport", "SciMLBase", "Setfield", "StaticArrays", "SymbolicIndexingInterface", "UnPack"]
git-tree-sha1 = "c3a2cb6f968404ed3b1d5382bbdd7b7d83966598"
uuid = "ccbc3e58-028d-4f4c-8cd5-9ae44345cda5"
version = "9.14.0"
weakdeps = ["FastBroadcast"]

[[deps.KLU]]
deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse_jll"]
git-tree-sha1 = "07649c499349dad9f08dde4243a4c597064663e9"
uuid = "ef3ab10e-7fda-4108-b977-705223b18434"
version = "0.6.0"

[[deps.Krylov]]
deps = ["LinearAlgebra", "Printf", "SparseArrays"]
git-tree-sha1 = "4f20a2df85a9e5d55c9e84634bbf808ed038cabd"
uuid = "ba0b0d4f-ebba-5204-a429-3ac8c609bfb7"
version = "0.9.8"

[[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"]
git-tree-sha1 = "36bdbc52f13a7d1dcb0f3cd694e01677a515655b"
uuid = "88015f11-f218-50d7-93a8-a6af411a945d"
version = "4.0.0+0"

[[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 = "dda21b8cbd6a6c40d9d02a73230f9d70fed6918c"
uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
version = "1.4.0"

[[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.LayoutPointers]]
deps = ["ArrayInterface", "LinearAlgebra", "ManualMemory", "SIMDTypes", "Static", "StaticArrayInterface"]
git-tree-sha1 = "a9eaadb366f5493a5654e843864c13d8b107548c"
uuid = "10f19ff3-798f-405d-979b-55457f8fc047"
version = "0.1.17"

[[deps.LazyArrays]]
deps = ["ArrayLayouts", "FillArrays", "LinearAlgebra", "MacroTools", "SparseArrays"]
git-tree-sha1 = "360f6039babd6e4d6364eff0d4fc9120834a2d9a"
uuid = "5078a376-72f3-5289-bfd5-ec5146d43c02"
version = "2.2.1"

    [deps.LazyArrays.extensions]
    LazyArraysBandedMatricesExt = "BandedMatrices"
    LazyArraysBlockArraysExt = "BlockArrays"
    LazyArraysBlockBandedMatricesExt = "BlockBandedMatrices"
    LazyArraysStaticArraysExt = "StaticArrays"

    [deps.LazyArrays.weakdeps]
    BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
    BlockArrays = "8e7c35d0-a365-5155-bbbb-fb81a777f24e"
    BlockBandedMatrices = "ffab5731-97b5-5995-9138-79e8c1846df0"
    StaticArrays = "90137ffa-7385-5640-81b9-e52037218182"

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

[[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.Libepoxy_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libglvnd_jll", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "7a0158b71f8be5c771e7a273183b2d0ac35278c5"
uuid = "42c93a91-0102-5b3f-8f9d-e41de60ac950"
version = "1.5.10+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.Librsvg_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pango_jll", "Pkg", "gdk_pixbuf_jll"]
git-tree-sha1 = "ae0923dab7324e6bc980834f709c4cd83dd797ed"
uuid = "925c91fb-5dd6-59dd-8e8c-345e74382d89"
version = "2.54.5+0"

[[deps.Libtiff_jll]]
deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "LERC_jll", "Libdl", "XZ_jll", "Zlib_jll", "Zstd_jll"]
git-tree-sha1 = "b404131d06f7886402758c9ce2214b636eb4d54a"
uuid = "89763e89-9b03-5906-acba-b20f662cd828"
version = "4.7.0+0"

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

[[deps.LineSearch]]
deps = ["ADTypes", "CommonSolve", "ConcreteStructs", "FastClosures", "LinearAlgebra", "MaybeInplace", "SciMLBase", "SciMLJacobianOperators", "StaticArraysCore"]
git-tree-sha1 = "97d502765cc5cf3a722120f50da03c2474efce04"
uuid = "87fe0de2-c867-4266-b59a-2f0a94fc965b"
version = "0.1.4"
weakdeps = ["LineSearches"]

    [deps.LineSearch.extensions]
    LineSearchLineSearchesExt = "LineSearches"

[[deps.LineSearches]]
deps = ["LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "Printf"]
git-tree-sha1 = "e4c3be53733db1051cc15ecf573b1042b3a712a1"
uuid = "d3d80556-e9d4-5f37-9878-2ab0fcc64255"
version = "7.3.0"

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

[[deps.LinearSolve]]
deps = ["ArrayInterface", "ChainRulesCore", "ConcreteStructs", "DocStringExtensions", "EnumX", "FastLapackInterface", "GPUArraysCore", "InteractiveUtils", "KLU", "Krylov", "LazyArrays", "Libdl", "LinearAlgebra", "MKL_jll", "Markdown", "PrecompileTools", "Preferences", "RecursiveFactorization", "Reexport", "SciMLBase", "SciMLOperators", "Setfield", "SparseArrays", "Sparspak", "StaticArraysCore", "UnPack"]
git-tree-sha1 = "ddb60aabc5efb0670c7ddde5fedf7ab44520a3e6"
uuid = "7ed4a6bd-45f5-4d41-b270-4a48e9bafcae"
version = "2.36.1"

    [deps.LinearSolve.extensions]
    LinearSolveBandedMatricesExt = "BandedMatrices"
    LinearSolveBlockDiagonalsExt = "BlockDiagonals"
    LinearSolveCUDAExt = "CUDA"
    LinearSolveCUDSSExt = "CUDSS"
    LinearSolveEnzymeExt = "EnzymeCore"
    LinearSolveFastAlmostBandedMatricesExt = "FastAlmostBandedMatrices"
    LinearSolveHYPREExt = "HYPRE"
    LinearSolveIterativeSolversExt = "IterativeSolvers"
    LinearSolveKernelAbstractionsExt = "KernelAbstractions"
    LinearSolveKrylovKitExt = "KrylovKit"
    LinearSolveMetalExt = "Metal"
    LinearSolvePardisoExt = "Pardiso"
    LinearSolveRecursiveArrayToolsExt = "RecursiveArrayTools"

    [deps.LinearSolve.weakdeps]
    BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
    BlockDiagonals = "0a1fb500-61f7-11e9-3c65-f5ef3456f9f0"
    CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba"
    CUDSS = "45b445bb-4962-46a0-9369-b4df9d0f772e"
    EnzymeCore = "f151be2c-9106-41f4-ab19-57ee4f262869"
    FastAlmostBandedMatrices = "9d29842c-ecb8-4973-b1e9-a27b1157504e"
    HYPRE = "b5ffcf37-a2bd-41ab-a3da-4bd9bc8ad771"
    IterativeSolvers = "42fd0dbc-a981-5370-80f2-aaf504508153"
    KernelAbstractions = "63c18a36-062a-441e-b654-da1e3ab1ce7c"
    KrylovKit = "0b1a1467-8014-51b9-945f-bf0ae24f4b77"
    Metal = "dde4c033-4e86-420c-a63e-0dd931031962"
    Pardiso = "46dd5b70-b6fb-5a00-ae2d-e8fea33afaf2"
    RecursiveArrayTools = "731186ca-8d62-57ce-b412-fbd966d074cd"

[[deps.LittleCMS_jll]]
deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll"]
git-tree-sha1 = "fa7fd067dca76cadd880f1ca937b4f387975a9f5"
uuid = "d3a379c0-f9a3-5b72-a4c0-6bf4d2e8af0f"
version = "2.16.0+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.LoopVectorization]]
deps = ["ArrayInterface", "CPUSummary", "CloseOpenIntervals", "DocStringExtensions", "HostCPUFeatures", "IfElse", "LayoutPointers", "LinearAlgebra", "OffsetArrays", "PolyesterWeave", "PrecompileTools", "SIMDTypes", "SLEEFPirates", "Static", "StaticArrayInterface", "ThreadingUtilities", "UnPack", "VectorizationBase"]
git-tree-sha1 = "8084c25a250e00ae427a379a5b607e7aed96a2dd"
uuid = "bdcacae8-1622-11e9-2a5c-532679323890"
version = "0.12.171"
weakdeps = ["ChainRulesCore", "ForwardDiff", "SpecialFunctions"]

    [deps.LoopVectorization.extensions]
    ForwardDiffExt = ["ChainRulesCore", "ForwardDiff"]
    SpecialFunctionsExt = "SpecialFunctions"

[[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.MLStyle]]
git-tree-sha1 = "bc38dff0548128765760c79eb7388a4b37fae2c8"
uuid = "d8e11817-5142-5d16-987a-aa16d5891078"
version = "0.4.17"

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

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

[[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.MatrixFactorizations]]
deps = ["ArrayLayouts", "LinearAlgebra", "Printf", "Random"]
git-tree-sha1 = "16a726dba99685d9e94c8d0a8f655383121fc608"
uuid = "a3b82374-2e81-5b9e-98ce-41277c0e4c87"
version = "3.0.1"
weakdeps = ["BandedMatrices"]

    [deps.MatrixFactorizations.extensions]
    MatrixFactorizationsBandedMatricesExt = "BandedMatrices"

[[deps.MaybeInplace]]
deps = ["ArrayInterface", "LinearAlgebra", "MacroTools"]
git-tree-sha1 = "54e2fdc38130c05b42be423e90da3bade29b74bd"
uuid = "bb5d69b7-63fc-4a16-80bd-7e42200c7bdb"
version = "0.1.4"
weakdeps = ["SparseArrays"]

    [deps.MaybeInplace.extensions]
    MaybeInplaceSparseArraysExt = "SparseArrays"

[[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.MuladdMacro]]
git-tree-sha1 = "cac9cc5499c25554cba55cd3c30543cff5ca4fab"
uuid = "46d2c3a1-f734-5fdb-9937-b9b9aeba4221"
version = "0.2.4"

[[deps.MultiChannelColors]]
deps = ["ColorTypes", "ColorVectorSpace", "Colors", "Compat", "FixedPointNumbers", "LinearAlgebra", "Reexport", "Requires"]
git-tree-sha1 = "d29b08ad606124069ca263f9439c00c23f531ea6"
uuid = "d4071afc-4203-49ee-90bc-13ebeb18d604"
version = "0.1.3"

[[deps.MultivariatePolynomials]]
deps = ["ChainRulesCore", "DataStructures", "LinearAlgebra", "MutableArithmetics"]
git-tree-sha1 = "8d39779e29f80aa6c071e7ac17101c6e31f075d7"
uuid = "102ac46a-7ee4-5c85-9060-abc95bfdeaa3"
version = "0.5.7"

[[deps.MutableArithmetics]]
deps = ["LinearAlgebra", "SparseArrays", "Test"]
git-tree-sha1 = "90077f1e79de8c9c7c8a90644494411111f4e07b"
uuid = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"
version = "1.5.2"

[[deps.NLSolversBase]]
deps = ["DiffResults", "Distributed", "FiniteDiff", "ForwardDiff"]
git-tree-sha1 = "a0b464d183da839699f4c79e7606d9d186ec172c"
uuid = "d41bc354-129a-5804-8e4c-c37616107c6c"
version = "7.8.3"

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

[[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.NonlinearSolve]]
deps = ["ADTypes", "ArrayInterface", "ConcreteStructs", "DiffEqBase", "DifferentiationInterface", "FastBroadcast", "FastClosures", "FiniteDiff", "ForwardDiff", "LazyArrays", "LineSearch", "LineSearches", "LinearAlgebra", "LinearSolve", "MaybeInplace", "PrecompileTools", "Preferences", "Printf", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLJacobianOperators", "SciMLOperators", "Setfield", "SimpleNonlinearSolve", "SparseArrays", "SparseConnectivityTracer", "SparseMatrixColorings", "StaticArraysCore", "SymbolicIndexingInterface", "TimerOutputs"]
git-tree-sha1 = "4d8944f32db2b07a2bdf8477e878bcb9c9ea2308"
uuid = "8913a72c-1f9b-4ce2-8d82-65094dcecaec"
version = "3.15.1"

    [deps.NonlinearSolve.extensions]
    NonlinearSolveBandedMatricesExt = "BandedMatrices"
    NonlinearSolveFastLevenbergMarquardtExt = "FastLevenbergMarquardt"
    NonlinearSolveFixedPointAccelerationExt = "FixedPointAcceleration"
    NonlinearSolveLeastSquaresOptimExt = "LeastSquaresOptim"
    NonlinearSolveMINPACKExt = "MINPACK"
    NonlinearSolveNLSolversExt = "NLSolvers"
    NonlinearSolveNLsolveExt = "NLsolve"
    NonlinearSolveSIAMFANLEquationsExt = "SIAMFANLEquations"
    NonlinearSolveSpeedMappingExt = "SpeedMapping"

    [deps.NonlinearSolve.weakdeps]
    BandedMatrices = "aae01518-5342-5314-be14-df237901396f"
    FastLevenbergMarquardt = "7a0df574-e128-4d35-8cbd-3d84502bf7ce"
    FixedPointAcceleration = "817d07cb-a79a-5c30-9a31-890123675176"
    LeastSquaresOptim = "0fc2ff8b-aaa3-5acd-a817-1944a5e08891"
    MINPACK = "4854310b-de5a-5eb6-a2a5-c1dee2bd17f9"
    NLSolvers = "337daf1e-9722-11e9-073e-8b9effe078ba"
    NLsolve = "2774e3e8-f4cf-5e23-947b-6d7e65073b56"
    SIAMFANLEquations = "084e46ad-d928-497d-ad5e-07fa361a48c4"
    SpeedMapping = "f1835b91-879b-4a3f-a438-e4baacf14412"

[[deps.Observables]]
git-tree-sha1 = "7438a59546cf62428fc9d1bc94729146d37a7225"
uuid = "510215fc-4207-5dde-b226-833fc4488ee2"
version = "0.5.5"

[[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 = "327f53360fdb54df7ecd01e96ef1983536d1e633"
uuid = "52e1d378-f018-4a11-a4be-720524705ac7"
version = "0.3.2"

[[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", "libpng_jll"]
git-tree-sha1 = "f4cb457ffac5f5cf695699f82c537073958a6a6c"
uuid = "643b3616-a352-519d-856d-80112ee9badc"
version = "2.5.2+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 = "7493f61f55a6cce7325f197443aa80d32554ba10"
uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95"
version = "3.0.15+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.Optim]]
deps = ["Compat", "FillArrays", "ForwardDiff", "LineSearches", "LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "PositiveFactorizations", "Printf", "SparseArrays", "StatsBase"]
git-tree-sha1 = "d9b79c4eed437421ac4285148fcadf42e0700e89"
uuid = "429524aa-4258-5aef-a3af-852621145aeb"
version = "1.9.4"

    [deps.Optim.extensions]
    OptimMOIExt = "MathOptInterface"

    [deps.Optim.weakdeps]
    MathOptInterface = "b8f27783-ece8-5eb3-8dc8-9495eed66fee"

[[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.OrdinaryDiffEq]]
deps = ["ADTypes", "Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "EnumX", "ExponentialUtilities", "FastBroadcast", "FastClosures", "FillArrays", "FiniteDiff", "ForwardDiff", "FunctionWrappersWrappers", "InteractiveUtils", "LineSearches", "LinearAlgebra", "LinearSolve", "Logging", "MacroTools", "MuladdMacro", "NonlinearSolve", "OrdinaryDiffEqAdamsBashforthMoulton", "OrdinaryDiffEqBDF", "OrdinaryDiffEqCore", "OrdinaryDiffEqDefault", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqExplicitRK", "OrdinaryDiffEqExponentialRK", "OrdinaryDiffEqExtrapolation", "OrdinaryDiffEqFIRK", "OrdinaryDiffEqFeagin", "OrdinaryDiffEqFunctionMap", "OrdinaryDiffEqHighOrderRK", "OrdinaryDiffEqIMEXMultistep", "OrdinaryDiffEqLinear", "OrdinaryDiffEqLowOrderRK", "OrdinaryDiffEqLowStorageRK", "OrdinaryDiffEqNonlinearSolve", "OrdinaryDiffEqNordsieck", "OrdinaryDiffEqPDIRK", "OrdinaryDiffEqPRK", "OrdinaryDiffEqQPRK", "OrdinaryDiffEqRKN", "OrdinaryDiffEqRosenbrock", "OrdinaryDiffEqSDIRK", "OrdinaryDiffEqSSPRK", "OrdinaryDiffEqStabilizedIRK", "OrdinaryDiffEqStabilizedRK", "OrdinaryDiffEqSymplecticRK", "OrdinaryDiffEqTsit5", "OrdinaryDiffEqVerner", "Polyester", "PreallocationTools", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SciMLStructures", "SimpleNonlinearSolve", "SimpleUnPack", "SparseArrays", "SparseDiffTools", "Static", "StaticArrayInterface", "StaticArrays", "TruncatedStacktraces"]
git-tree-sha1 = "cd892f12371c287dc50d6ad3af075b088b6f2d48"
uuid = "1dea7af3-3e70-54e6-95c3-0bf5283fa5ed"
version = "6.89.0"

[[deps.OrdinaryDiffEqAdamsBashforthMoulton]]
deps = ["ADTypes", "DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqLowOrderRK", "Polyester", "RecursiveArrayTools", "Reexport", "Static"]
git-tree-sha1 = "8e3c5978d0531a961f70d2f2730d1d16ed3bbd12"
uuid = "89bda076-bce5-4f1c-845f-551c83cdda9a"
version = "1.1.0"

[[deps.OrdinaryDiffEqBDF]]
deps = ["ArrayInterface", "DiffEqBase", "FastBroadcast", "LinearAlgebra", "MacroTools", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "OrdinaryDiffEqSDIRK", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "StaticArrays", "TruncatedStacktraces"]
git-tree-sha1 = "b4498d40bf35da0b6d22652ff2e9d8820590b3c6"
uuid = "6ad6398a-0878-4a85-9266-38940aa047c8"
version = "1.1.2"

[[deps.OrdinaryDiffEqCore]]
deps = ["ADTypes", "Accessors", "Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DocStringExtensions", "EnumX", "FastBroadcast", "FastClosures", "FastPower", "FillArrays", "FunctionWrappersWrappers", "InteractiveUtils", "LinearAlgebra", "Logging", "MacroTools", "MuladdMacro", "Polyester", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SciMLStructures", "SimpleUnPack", "Static", "StaticArrayInterface", "StaticArraysCore", "TruncatedStacktraces"]
git-tree-sha1 = "1175717a62ab21736a8f5d0d2531d2a6ad3b9e74"
uuid = "bbf590c4-e513-4bbe-9b18-05decba2e5d8"
version = "1.9.0"
weakdeps = ["EnzymeCore"]

    [deps.OrdinaryDiffEqCore.extensions]
    OrdinaryDiffEqCoreEnzymeCoreExt = "EnzymeCore"

[[deps.OrdinaryDiffEqDefault]]
deps = ["DiffEqBase", "EnumX", "LinearAlgebra", "LinearSolve", "OrdinaryDiffEqBDF", "OrdinaryDiffEqCore", "OrdinaryDiffEqRosenbrock", "OrdinaryDiffEqTsit5", "OrdinaryDiffEqVerner", "PrecompileTools", "Preferences", "Reexport"]
git-tree-sha1 = "c8223e487d58bef28a3535b33ddf8ffdb44f46fb"
uuid = "50262376-6c5a-4cf5-baba-aaf4f84d72d7"
version = "1.1.0"

[[deps.OrdinaryDiffEqDifferentiation]]
deps = ["ADTypes", "ArrayInterface", "DiffEqBase", "FastBroadcast", "FiniteDiff", "ForwardDiff", "FunctionWrappersWrappers", "LinearAlgebra", "LinearSolve", "OrdinaryDiffEqCore", "SciMLBase", "SparseArrays", "SparseDiffTools", "StaticArrayInterface", "StaticArrays"]
git-tree-sha1 = "e63ec633b1efa99e3caa2e26a01faaa88ba6cef9"
uuid = "4302a76b-040a-498a-8c04-15b101fed76b"
version = "1.1.0"

[[deps.OrdinaryDiffEqExplicitRK]]
deps = ["DiffEqBase", "FastBroadcast", "LinearAlgebra", "MuladdMacro", "OrdinaryDiffEqCore", "RecursiveArrayTools", "Reexport", "TruncatedStacktraces"]
git-tree-sha1 = "4dbce3f9e6974567082ce5176e21aab0224a69e9"
uuid = "9286f039-9fbf-40e8-bf65-aa933bdc4db0"
version = "1.1.0"

[[deps.OrdinaryDiffEqExponentialRK]]
deps = ["DiffEqBase", "ExponentialUtilities", "FastBroadcast", "LinearAlgebra", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqSDIRK", "OrdinaryDiffEqVerner", "RecursiveArrayTools", "Reexport", "SciMLBase"]
git-tree-sha1 = "f63938b8e9e5d3a05815defb3ebdbdcf61ec0a74"
uuid = "e0540318-69ee-4070-8777-9e2de6de23de"
version = "1.1.0"

[[deps.OrdinaryDiffEqExtrapolation]]
deps = ["DiffEqBase", "FastBroadcast", "FastPower", "LinearSolve", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "Polyester", "RecursiveArrayTools", "Reexport"]
git-tree-sha1 = "048bcccc8f59c20d5b4ad268eef4d7d21c005a94"
uuid = "becaefa8-8ca2-5cf9-886d-c06f3d2bd2c4"
version = "1.2.1"

[[deps.OrdinaryDiffEqFIRK]]
deps = ["DiffEqBase", "FastBroadcast", "FastPower", "GenericLinearAlgebra", "GenericSchur", "LinearAlgebra", "LinearSolve", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "Polynomials", "RecursiveArrayTools", "Reexport", "RootedTrees", "SciMLOperators", "Symbolics"]
git-tree-sha1 = "5735f4c094dff311f5064d1a351da9669e4647e3"
uuid = "5960d6e9-dd7a-4743-88e7-cf307b64f125"
version = "1.2.0"

[[deps.OrdinaryDiffEqFeagin]]
deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "RecursiveArrayTools", "Reexport", "Static"]
git-tree-sha1 = "a7cc74d3433db98e59dc3d58bc28174c6c290adf"
uuid = "101fe9f7-ebb6-4678-b671-3a81e7194747"
version = "1.1.0"

[[deps.OrdinaryDiffEqFunctionMap]]
deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "RecursiveArrayTools", "Reexport", "SciMLBase", "Static"]
git-tree-sha1 = "925a91583d1ab84f1f0fea121be1abf1179c5926"
uuid = "d3585ca7-f5d3-4ba6-8057-292ed1abd90f"
version = "1.1.1"

[[deps.OrdinaryDiffEqHighOrderRK]]
deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "RecursiveArrayTools", "Reexport", "Static"]
git-tree-sha1 = "103e017ff186ac39d731904045781c9bacfca2b0"
uuid = "d28bc4f8-55e1-4f49-af69-84c1a99f0f58"
version = "1.1.0"

[[deps.OrdinaryDiffEqIMEXMultistep]]
deps = ["DiffEqBase", "FastBroadcast", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "Reexport"]
git-tree-sha1 = "9f8f52aad2399d7714b400ff9d203254b0a89c4a"
uuid = "9f002381-b378-40b7-97a6-27a27c83f129"
version = "1.1.0"

[[deps.OrdinaryDiffEqLinear]]
deps = ["DiffEqBase", "ExponentialUtilities", "LinearAlgebra", "OrdinaryDiffEqCore", "OrdinaryDiffEqTsit5", "OrdinaryDiffEqVerner", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators"]
git-tree-sha1 = "0f81a77ede3da0dc714ea61e81c76b25db4ab87a"
uuid = "521117fe-8c41-49f8-b3b6-30780b3f0fb5"
version = "1.1.0"

[[deps.OrdinaryDiffEqLowOrderRK]]
deps = ["DiffEqBase", "FastBroadcast", "LinearAlgebra", "MuladdMacro", "OrdinaryDiffEqCore", "RecursiveArrayTools", "Reexport", "SciMLBase", "Static"]
git-tree-sha1 = "d4bb32e09d6b68ce2eb45fb81001eab46f60717a"
uuid = "1344f307-1e59-4825-a18e-ace9aa3fa4c6"
version = "1.2.0"

[[deps.OrdinaryDiffEqLowStorageRK]]
deps = ["Adapt", "DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "Static", "StaticArrays"]
git-tree-sha1 = "590561f3af623d5485d070b4d7044f8854535f5a"
uuid = "b0944070-b475-4768-8dec-fb6eb410534d"
version = "1.2.1"

[[deps.OrdinaryDiffEqNonlinearSolve]]
deps = ["ADTypes", "ArrayInterface", "DiffEqBase", "FastBroadcast", "FastClosures", "ForwardDiff", "LinearAlgebra", "LinearSolve", "MuladdMacro", "NonlinearSolve", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "PreallocationTools", "RecursiveArrayTools", "SciMLBase", "SciMLOperators", "SciMLStructures", "SimpleNonlinearSolve", "StaticArrays"]
git-tree-sha1 = "a2a4119f3e35f7982f78e17beea7b12485d179e9"
uuid = "127b3ac7-2247-4354-8eb6-78cf4e7c58e8"
version = "1.2.1"

[[deps.OrdinaryDiffEqNordsieck]]
deps = ["DiffEqBase", "FastBroadcast", "LinearAlgebra", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqTsit5", "Polyester", "RecursiveArrayTools", "Reexport", "Static"]
git-tree-sha1 = "ef44754f10e0dfb9bb55ded382afed44cd94ab57"
uuid = "c9986a66-5c92-4813-8696-a7ec84c806c8"
version = "1.1.0"

[[deps.OrdinaryDiffEqPDIRK]]
deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "Polyester", "Reexport", "StaticArrays"]
git-tree-sha1 = "a8b7f8107c477e07c6a6c00d1d66cac68b801bbc"
uuid = "5dd0a6cf-3d4b-4314-aa06-06d4e299bc89"
version = "1.1.0"

[[deps.OrdinaryDiffEqPRK]]
deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "Reexport"]
git-tree-sha1 = "da525d277962a1b76102c79f30cb0c31e13fe5b9"
uuid = "5b33eab2-c0f1-4480-b2c3-94bc1e80bda1"
version = "1.1.0"

[[deps.OrdinaryDiffEqQPRK]]
deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "RecursiveArrayTools", "Reexport", "Static"]
git-tree-sha1 = "332f9d17d0229218f66a73492162267359ba85e9"
uuid = "04162be5-8125-4266-98ed-640baecc6514"
version = "1.1.0"

[[deps.OrdinaryDiffEqRKN]]
deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "RecursiveArrayTools", "Reexport"]
git-tree-sha1 = "41c09d9c20877546490f907d8dffdd52690dd65f"
uuid = "af6ede74-add8-4cfd-b1df-9a4dbb109d7a"
version = "1.1.0"

[[deps.OrdinaryDiffEqRosenbrock]]
deps = ["ADTypes", "DiffEqBase", "FastBroadcast", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "LinearSolve", "MacroTools", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "Polyester", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "Static"]
git-tree-sha1 = "96b47cdd12cb4ce8f70d701b49f855271a462bd4"
uuid = "43230ef6-c299-4910-a778-202eb28ce4ce"
version = "1.2.0"

[[deps.OrdinaryDiffEqSDIRK]]
deps = ["DiffEqBase", "FastBroadcast", "LinearAlgebra", "MacroTools", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "RecursiveArrayTools", "Reexport", "SciMLBase", "TruncatedStacktraces"]
git-tree-sha1 = "f6683803a58de600ab7a26d2f49411c9923e9721"
uuid = "2d112036-d095-4a1e-ab9a-08536f3ecdbf"
version = "1.1.0"

[[deps.OrdinaryDiffEqSSPRK]]
deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "Static", "StaticArrays"]
git-tree-sha1 = "7dbe4ac56f930df5e9abd003cedb54e25cbbea86"
uuid = "669c94d9-1f4b-4b64-b377-1aa079aa2388"
version = "1.2.0"

[[deps.OrdinaryDiffEqStabilizedIRK]]
deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "OrdinaryDiffEqDifferentiation", "OrdinaryDiffEqNonlinearSolve", "RecursiveArrayTools", "Reexport", "StaticArrays"]
git-tree-sha1 = "348fd6def9a88518715425025eadd58517017325"
uuid = "e3e12d00-db14-5390-b879-ac3dd2ef6296"
version = "1.1.0"

[[deps.OrdinaryDiffEqStabilizedRK]]
deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "RecursiveArrayTools", "Reexport", "StaticArrays"]
git-tree-sha1 = "1b0d894c880e25f7d0b022d7257638cf8ce5b311"
uuid = "358294b1-0aab-51c3-aafe-ad5ab194a2ad"
version = "1.1.0"

[[deps.OrdinaryDiffEqSymplecticRK]]
deps = ["DiffEqBase", "FastBroadcast", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "RecursiveArrayTools", "Reexport"]
git-tree-sha1 = "4e8b8c8b81df3df17e2eb4603115db3b30a88235"
uuid = "fa646aed-7ef9-47eb-84c4-9443fc8cbfa8"
version = "1.1.0"

[[deps.OrdinaryDiffEqTsit5]]
deps = ["DiffEqBase", "FastBroadcast", "LinearAlgebra", "MuladdMacro", "OrdinaryDiffEqCore", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "Static", "TruncatedStacktraces"]
git-tree-sha1 = "96552f7d4619fabab4038a29ed37dd55e9eb513a"
uuid = "b1df2697-797e-41e3-8120-5422d3b24e4a"
version = "1.1.0"

[[deps.OrdinaryDiffEqVerner]]
deps = ["DiffEqBase", "FastBroadcast", "LinearAlgebra", "MuladdMacro", "OrdinaryDiffEqCore", "Polyester", "PrecompileTools", "Preferences", "RecursiveArrayTools", "Reexport", "Static", "TruncatedStacktraces"]
git-tree-sha1 = "81d7841e73e385b9925d5c8e4427f2adcdda55db"
uuid = "79d7bb75-1356-48c1-b8c0-6832512096c2"
version = "1.1.1"

[[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.PackageExtensionCompat]]
git-tree-sha1 = "fb28e33b8a95c4cee25ce296c817d89cc2e53518"
uuid = "65ce6f38-6b18-4e1d-a461-8949797d7930"
version = "1.0.2"
weakdeps = ["Requires", "TOML"]

[[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 = "650a022b2ce86c7dcfbdecf00f78afeeb20e5655"
uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043"
version = "1.4.2"

[[deps.Plots]]
deps = ["Base64", "Contour", "Dates", "Downloads", "FFMPEG", "FixedPointNumbers", "GR", "JLFzf", "JSON", "LaTeXStrings", "Latexify", "LinearAlgebra", "Measures", "NaNMath", "Pkg", "PlotThemes", "PlotUtils", "PrecompileTools", "Printf", "REPL", "Random", "RecipesBase", "RecipesPipeline", "Reexport", "RelocatableFolders", "Requires", "Scratch", "Showoff", "SparseArrays", "Statistics", "StatsBase", "TOML", "UUIDs", "UnicodeFun", "UnitfulLatexify", "Unzip"]
git-tree-sha1 = "45470145863035bb124ca51b320ed35d071cc6c2"
uuid = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
version = "1.40.8"

    [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.PoissonRandom]]
deps = ["Random"]
git-tree-sha1 = "a0f1159c33f846aa77c3f30ebbc69795e5327152"
uuid = "e409e4f3-bfea-5376-8464-e040bb5c01ab"
version = "0.4.4"

[[deps.Polyester]]
deps = ["ArrayInterface", "BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "ManualMemory", "PolyesterWeave", "Static", "StaticArrayInterface", "StrideArraysCore", "ThreadingUtilities"]
git-tree-sha1 = "6d38fea02d983051776a856b7df75b30cf9a3c1f"
uuid = "f517fe37-dbe3-4b94-8317-1923a5111588"
version = "0.7.16"

[[deps.PolyesterWeave]]
deps = ["BitTwiddlingConvenienceFunctions", "CPUSummary", "IfElse", "Static", "ThreadingUtilities"]
git-tree-sha1 = "645bed98cd47f72f67316fd42fc47dee771aefcd"
uuid = "1d0040c9-8b98-4ee7-8388-3f51789ca0ad"
version = "0.2.2"

[[deps.Polynomials]]
deps = ["LinearAlgebra", "RecipesBase", "Requires", "Setfield", "SparseArrays"]
git-tree-sha1 = "1a9cfb2dc2c2f1bd63f1906d72af39a79b49b736"
uuid = "f27b6e38-b328-58d1-80ce-0feddd5e7a45"
version = "4.0.11"

    [deps.Polynomials.extensions]
    PolynomialsChainRulesCoreExt = "ChainRulesCore"
    PolynomialsFFTWExt = "FFTW"
    PolynomialsMakieCoreExt = "MakieCore"
    PolynomialsMutableArithmeticsExt = "MutableArithmetics"

    [deps.Polynomials.weakdeps]
    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
    FFTW = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341"
    MakieCore = "20f20a25-4f0e-4fdf-b5d1-57303727442b"
    MutableArithmetics = "d8a4904e-b15c-11e9-3269-09a3773c0cb0"

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

[[deps.PreallocationTools]]
deps = ["Adapt", "ArrayInterface", "ForwardDiff"]
git-tree-sha1 = "6c62ce45f268f3f958821a1e5192cf91c75ae89c"
uuid = "d236fae5-4411-538c-8e31-a6e3d9e00b46"
version = "0.4.24"

    [deps.PreallocationTools.extensions]
    PreallocationToolsReverseDiffExt = "ReverseDiff"

    [deps.PreallocationTools.weakdeps]
    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"

[[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.Primes]]
deps = ["IntegerMathUtils"]
git-tree-sha1 = "cb420f77dc474d23ee47ca8d14c90810cafe69e7"
uuid = "27ebfcd6-29c5-5fa9-bf4b-fb8fc14df3ae"
version = "0.5.6"

[[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 = "18e8f4d1426e965c7b532ddd260599e1510d26ce"
uuid = "4b34888f-f399-49d4-9bb3-47ed5cae4e65"
version = "1.0.0"

[[deps.Qt6Base_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "Fontconfig_jll", "Glib_jll", "JLLWrappers", "Libdl", "Libglvnd_jll", "OpenSSL_jll", "Vulkan_Loader_jll", "Xorg_libSM_jll", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Xorg_libxcb_jll", "Xorg_xcb_util_cursor_jll", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_keysyms_jll", "Xorg_xcb_util_renderutil_jll", "Xorg_xcb_util_wm_jll", "Zlib_jll", "libinput_jll", "xkbcommon_jll"]
git-tree-sha1 = "492601870742dcd38f233b23c3ec629628c1d724"
uuid = "c0090381-4147-56d7-9ebc-da0b1113ec56"
version = "6.7.1+1"

[[deps.Qt6Declarative_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Qt6Base_jll", "Qt6ShaderTools_jll"]
git-tree-sha1 = "e5dd466bf2569fe08c91a2cc29c1003f4797ac3b"
uuid = "629bc702-f1f5-5709-abd5-49b8460ea067"
version = "6.7.1+2"

[[deps.Qt6ShaderTools_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Qt6Base_jll"]
git-tree-sha1 = "1a180aeced866700d4bebc3120ea1451201f16bc"
uuid = "ce943373-25bb-56aa-8eca-768745ed7b5a"
version = "6.7.1+1"

[[deps.Qt6Wayland_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Qt6Base_jll", "Qt6Declarative_jll"]
git-tree-sha1 = "729927532d48cf79f49070341e1d918a65aba6b0"
uuid = "e99dba38-086e-5de3-a5b1-6e4c66e897c3"
version = "6.7.1+1"

[[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.Random123]]
deps = ["Random", "RandomNumbers"]
git-tree-sha1 = "4743b43e5a9c4a2ede372de7061eed81795b12e7"
uuid = "74087812-796a-5b5d-8853-05524746bad3"
version = "1.7.0"

[[deps.RandomNumbers]]
deps = ["Random"]
git-tree-sha1 = "c6ec94d2aaba1ab2ff983052cf6a606ca5985902"
uuid = "e6cf234a-135c-5ec9-84dd-332b85af5143"
version = "1.6.0"

[[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.RecursiveArrayTools]]
deps = ["Adapt", "ArrayInterface", "DocStringExtensions", "GPUArraysCore", "IteratorInterfaceExtensions", "LinearAlgebra", "RecipesBase", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface", "Tables"]
git-tree-sha1 = "ed2514425d030d7c9054fa0f2275ada45681788d"
uuid = "731186ca-8d62-57ce-b412-fbd966d074cd"
version = "3.27.2"

    [deps.RecursiveArrayTools.extensions]
    RecursiveArrayToolsFastBroadcastExt = "FastBroadcast"
    RecursiveArrayToolsForwardDiffExt = "ForwardDiff"
    RecursiveArrayToolsMeasurementsExt = "Measurements"
    RecursiveArrayToolsMonteCarloMeasurementsExt = "MonteCarloMeasurements"
    RecursiveArrayToolsReverseDiffExt = ["ReverseDiff", "Zygote"]
    RecursiveArrayToolsSparseArraysExt = ["SparseArrays"]
    RecursiveArrayToolsTrackerExt = "Tracker"
    RecursiveArrayToolsZygoteExt = "Zygote"

    [deps.RecursiveArrayTools.weakdeps]
    FastBroadcast = "7034ab61-46d4-4ed7-9d0f-46aef9175898"
    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
    Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
    MonteCarloMeasurements = "0987c9cc-fe09-11e8-30f0-b96dd679fdca"
    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
    SparseArrays = "2f01184e-e22b-5df5-ae63-d93ebab69eaf"
    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"

[[deps.RecursiveFactorization]]
deps = ["LinearAlgebra", "LoopVectorization", "Polyester", "PrecompileTools", "StrideArraysCore", "TriangularSolve"]
git-tree-sha1 = "6db1a75507051bc18bfa131fbc7c3f169cc4b2f6"
uuid = "f2c3362d-daeb-58d1-803e-2bc74f2840b4"
version = "0.2.23"

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

[[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.RootedTrees]]
deps = ["LaTeXStrings", "Latexify", "LinearAlgebra", "Preferences", "RecipesBase", "Requires"]
git-tree-sha1 = "c0c464d3063e46e4128d21fd677ca575ace44fdc"
uuid = "47965b36-3f3e-11e9-0dcf-4570dfd42a8c"
version = "2.23.1"
weakdeps = ["Plots"]

    [deps.RootedTrees.extensions]
    PlotsExt = "Plots"

[[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.RoundingIntegers]]
git-tree-sha1 = "99acd97f396ea71a5be06ba6de5c9defe188a778"
uuid = "d5f540fe-1c90-5db3-b776-2e2f362d9394"
version = "1.1.0"

[[deps.RuntimeGeneratedFunctions]]
deps = ["ExprTools", "SHA", "Serialization"]
git-tree-sha1 = "04c968137612c4a5629fa531334bb81ad5680f00"
uuid = "7e49a35a-f44a-4d26-94aa-eba1b4ca6b47"
version = "0.5.13"

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

[[deps.SLEEFPirates]]
deps = ["IfElse", "Static", "VectorizationBase"]
git-tree-sha1 = "456f610ca2fbd1c14f5fcf31c6bfadc55e7d66e0"
uuid = "476501e8-09a2-5ece-8869-fb82de89a1fa"
version = "0.6.43"

[[deps.SciMLBase]]
deps = ["ADTypes", "Accessors", "ArrayInterface", "CommonSolve", "ConstructionBase", "Distributed", "DocStringExtensions", "EnumX", "Expronicon", "FunctionWrappersWrappers", "IteratorInterfaceExtensions", "LinearAlgebra", "Logging", "Markdown", "PrecompileTools", "Preferences", "Printf", "RecipesBase", "RecursiveArrayTools", "Reexport", "RuntimeGeneratedFunctions", "SciMLOperators", "SciMLStructures", "StaticArraysCore", "Statistics", "SymbolicIndexingInterface"]
git-tree-sha1 = "7a54136472ca0cb0f66ef22aa3f0ff198f379fa7"
uuid = "0bca4576-84f4-4d90-8ffe-ffa030f20462"
version = "2.58.0"

    [deps.SciMLBase.extensions]
    SciMLBaseChainRulesCoreExt = "ChainRulesCore"
    SciMLBaseMakieExt = "Makie"
    SciMLBasePartialFunctionsExt = "PartialFunctions"
    SciMLBasePyCallExt = "PyCall"
    SciMLBasePythonCallExt = "PythonCall"
    SciMLBaseRCallExt = "RCall"
    SciMLBaseZygoteExt = "Zygote"

    [deps.SciMLBase.weakdeps]
    ChainRules = "082447d4-558c-5d27-93f4-14fc19e9eca2"
    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
    Makie = "ee78f7c6-11fb-53f2-987a-cfe4a2b5a57a"
    PartialFunctions = "570af359-4316-4cb7-8c74-252c00c2016b"
    PyCall = "438e738f-606a-5dbb-bf0a-cddfbfd45ab0"
    PythonCall = "6099a3de-0909-46bc-b1f4-468b9a2dfc0d"
    RCall = "6f49c342-dc21-5d91-9882-a32aef131414"
    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"

[[deps.SciMLJacobianOperators]]
deps = ["ADTypes", "ConcreteStructs", "ConstructionBase", "DifferentiationInterface", "FastClosures", "LinearAlgebra", "SciMLBase", "SciMLOperators"]
git-tree-sha1 = "991d2a8900e687e2c693d587daa739c8fda01366"
uuid = "19f34311-ddf3-4b8b-af20-060888a46c0e"
version = "0.1.0"

[[deps.SciMLOperators]]
deps = ["Accessors", "ArrayInterface", "DocStringExtensions", "LinearAlgebra", "MacroTools"]
git-tree-sha1 = "ef388ca9e4921ec5614ce714f8aa59a5cd33d867"
uuid = "c0aeaf25-5076-4817-a8d5-81caf7dfa961"
version = "0.3.11"
weakdeps = ["SparseArrays", "StaticArraysCore"]

    [deps.SciMLOperators.extensions]
    SciMLOperatorsSparseArraysExt = "SparseArrays"
    SciMLOperatorsStaticArraysCoreExt = "StaticArraysCore"

[[deps.SciMLStructures]]
deps = ["ArrayInterface"]
git-tree-sha1 = "25514a6f200219cd1073e4ff23a6324e4a7efe64"
uuid = "53ae85a6-f571-4167-b2af-e1d143709226"
version = "1.5.0"

[[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.Setfield]]
deps = ["ConstructionBase", "Future", "MacroTools", "StaticArraysCore"]
git-tree-sha1 = "e2cc6d8c88613c05e1defb55170bf5ff211fbeac"
uuid = "efcf1570-3423-57d1-acb7-fd33fddbac46"
version = "1.1.1"

[[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.SimpleNonlinearSolve]]
deps = ["ADTypes", "ArrayInterface", "ConcreteStructs", "DiffEqBase", "DiffResults", "DifferentiationInterface", "FastClosures", "FiniteDiff", "ForwardDiff", "LinearAlgebra", "MaybeInplace", "PrecompileTools", "Reexport", "SciMLBase", "Setfield", "StaticArraysCore"]
git-tree-sha1 = "44021f3efc023be3871195d8ad98b865001a2fa1"
uuid = "727e6d20-b764-4bd8-a329-72de5adea6c7"
version = "1.12.3"

    [deps.SimpleNonlinearSolve.extensions]
    SimpleNonlinearSolveChainRulesCoreExt = "ChainRulesCore"
    SimpleNonlinearSolveReverseDiffExt = "ReverseDiff"
    SimpleNonlinearSolveTrackerExt = "Tracker"
    SimpleNonlinearSolveZygoteExt = "Zygote"

    [deps.SimpleNonlinearSolve.weakdeps]
    ChainRulesCore = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4"
    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"
    Tracker = "9f7883ad-71c0-57eb-9f7f-b5c9e6d3789c"
    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"

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

[[deps.SimpleUnPack]]
git-tree-sha1 = "58e6353e72cde29b90a69527e56df1b5c3d8c437"
uuid = "ce78b400-467f-4804-87d8-8f486da07d0a"
version = "1.1.0"

[[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.SparseConnectivityTracer]]
deps = ["ADTypes", "DocStringExtensions", "FillArrays", "LinearAlgebra", "Random", "SparseArrays"]
git-tree-sha1 = "6914df6005bab9940e2a96879a97a43e1fb1ce78"
uuid = "9f842d2f-2579-4b1d-911e-f412cf18a3f5"
version = "0.6.8"

    [deps.SparseConnectivityTracer.extensions]
    SparseConnectivityTracerDataInterpolationsExt = "DataInterpolations"
    SparseConnectivityTracerLogExpFunctionsExt = "LogExpFunctions"
    SparseConnectivityTracerNNlibExt = "NNlib"
    SparseConnectivityTracerNaNMathExt = "NaNMath"
    SparseConnectivityTracerSpecialFunctionsExt = "SpecialFunctions"

    [deps.SparseConnectivityTracer.weakdeps]
    DataInterpolations = "82cc6244-b520-54b8-b5a6-8a565e85f1d0"
    LogExpFunctions = "2ab3a3ac-af41-5b50-aa03-7779005ae688"
    NNlib = "872c559c-99b0-510c-b3b7-b6c96a88d5cd"
    NaNMath = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3"
    SpecialFunctions = "276daf66-3868-5448-9aa4-cd146d93841b"

[[deps.SparseDiffTools]]
deps = ["ADTypes", "Adapt", "ArrayInterface", "Compat", "DataStructures", "FiniteDiff", "ForwardDiff", "Graphs", "LinearAlgebra", "PackageExtensionCompat", "Random", "Reexport", "SciMLOperators", "Setfield", "SparseArrays", "StaticArrayInterface", "StaticArrays", "UnPack", "VertexSafeGraphs"]
git-tree-sha1 = "b906758c107b049b6b71599b9f928d9b14e5554a"
uuid = "47a9eef4-7e08-11e9-0b38-333d64bd3804"
version = "2.23.0"

    [deps.SparseDiffTools.extensions]
    SparseDiffToolsEnzymeExt = "Enzyme"
    SparseDiffToolsPolyesterExt = "Polyester"
    SparseDiffToolsPolyesterForwardDiffExt = "PolyesterForwardDiff"
    SparseDiffToolsSymbolicsExt = "Symbolics"
    SparseDiffToolsZygoteExt = "Zygote"

    [deps.SparseDiffTools.weakdeps]
    Enzyme = "7da242da-08ed-463a-9acd-ee780be4f1d9"
    Polyester = "f517fe37-dbe3-4b94-8317-1923a5111588"
    PolyesterForwardDiff = "98d1487c-24ca-40b6-b7ab-df2af84e126b"
    Symbolics = "0c5d862f-8b57-4792-8d23-62f2024744c7"
    Zygote = "e88e6eb3-aa80-5325-afca-941959d7151f"

[[deps.SparseMatrixColorings]]
deps = ["ADTypes", "DataStructures", "DocStringExtensions", "LinearAlgebra", "Random", "SparseArrays"]
git-tree-sha1 = "f37f046636f8dc353a39279abfefe296db212171"
uuid = "0a514795-09f3-496d-8182-132a7b665d35"
version = "0.4.8"
weakdeps = ["Colors"]

    [deps.SparseMatrixColorings.extensions]
    SparseMatrixColoringsColorsExt = "Colors"

[[deps.Sparspak]]
deps = ["Libdl", "LinearAlgebra", "Logging", "OffsetArrays", "Printf", "SparseArrays", "Test"]
git-tree-sha1 = "342cf4b449c299d8d1ceaf00b7a49f4fbc7940e7"
uuid = "e56a9233-b9d6-4f03-8d0f-1825330902ac"
version = "0.3.9"

[[deps.SpecialFunctions]]
deps = ["IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"]
git-tree-sha1 = "2f5d4697f21388cbe1ff299430dd169ef97d7e14"
uuid = "276daf66-3868-5448-9aa4-cd146d93841b"
version = "2.4.0"
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.Static]]
deps = ["CommonWorldInvalidations", "IfElse", "PrecompileTools"]
git-tree-sha1 = "87d51a3ee9a4b0d2fe054bdd3fc2436258db2603"
uuid = "aedffcd0-7271-4cad-89d0-dc628f76c6d3"
version = "1.1.1"

[[deps.StaticArrayInterface]]
deps = ["ArrayInterface", "Compat", "IfElse", "LinearAlgebra", "PrecompileTools", "Static"]
git-tree-sha1 = "96381d50f1ce85f2663584c8e886a6ca97e60554"
uuid = "0d7ed370-da01-4f52-bd93-41d350b8b718"
version = "1.8.0"
weakdeps = ["OffsetArrays", "StaticArrays"]

    [deps.StaticArrayInterface.extensions]
    StaticArrayInterfaceOffsetArraysExt = "OffsetArrays"
    StaticArrayInterfaceStaticArraysExt = "StaticArrays"

[[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"
weakdeps = ["ChainRulesCore", "InverseFunctions"]

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

[[deps.SteadyStateDiffEq]]
deps = ["ConcreteStructs", "DiffEqBase", "DiffEqCallbacks", "LinearAlgebra", "Reexport", "SciMLBase"]
git-tree-sha1 = "920acf6ae36c86f23969fea1d317e040dbfccf53"
uuid = "9672c7b4-1e72-59bd-8a11-6ac3964bc41f"
version = "2.4.1"

[[deps.StochasticDiffEq]]
deps = ["Adapt", "ArrayInterface", "DataStructures", "DiffEqBase", "DiffEqNoiseProcess", "DocStringExtensions", "FastPower", "FiniteDiff", "ForwardDiff", "JumpProcesses", "LevyArea", "LinearAlgebra", "Logging", "MuladdMacro", "NLsolve", "OrdinaryDiffEq", "Random", "RandomNumbers", "RecursiveArrayTools", "Reexport", "SciMLBase", "SciMLOperators", "SparseArrays", "SparseDiffTools", "StaticArrays", "UnPack"]
git-tree-sha1 = "bf4bad73c80e058b1d53788ff520e10c8bad7c9d"
uuid = "789caeaf-c7a9-5a7d-9973-96adeb23e2a0"
version = "6.70.0"

[[deps.StrideArraysCore]]
deps = ["ArrayInterface", "CloseOpenIntervals", "IfElse", "LayoutPointers", "LinearAlgebra", "ManualMemory", "SIMDTypes", "Static", "StaticArrayInterface", "ThreadingUtilities"]
git-tree-sha1 = "f35f6ab602df8413a50c4a25ca14de821e8605fb"
uuid = "7792a7ef-975c-4747-a70f-980b88e8d1da"
version = "0.5.7"

[[deps.StringDistances]]
deps = ["Distances", "StatsAPI"]
git-tree-sha1 = "5b2ca70b099f91e54d98064d5caf5cc9b541ad06"
uuid = "88034a9c-02f8-509d-84a9-84ec65e18404"
version = "0.11.3"

[[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.Sundials]]
deps = ["CEnum", "DataStructures", "DiffEqBase", "Libdl", "LinearAlgebra", "Logging", "PrecompileTools", "Reexport", "SciMLBase", "SparseArrays", "Sundials_jll"]
git-tree-sha1 = "e87efb31e5360cb223a151c2398903dc2faeb32b"
uuid = "c3572dad-4567-51f8-b174-8c6c989267f4"
version = "4.26.0"

[[deps.Sundials_jll]]
deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "SuiteSparse_jll", "libblastrampoline_jll"]
git-tree-sha1 = "91db7ed92c66f81435fe880947171f1212936b14"
uuid = "fb77eaff-e24c-56d4-86b1-d163f2edb164"
version = "5.2.3+0"

[[deps.SymbolicIndexingInterface]]
deps = ["Accessors", "ArrayInterface", "RuntimeGeneratedFunctions", "StaticArraysCore"]
git-tree-sha1 = "20cf607cafb31f922bce84d60379203e7a126911"
uuid = "2efcf032-c050-4f8e-a9bb-153293bab1f5"
version = "0.3.34"

[[deps.SymbolicLimits]]
deps = ["SymbolicUtils"]
git-tree-sha1 = "fabf4650afe966a2ba646cabd924c3fd43577fc3"
uuid = "19f23fe9-fdab-4a78-91af-e7b7767979c3"
version = "0.2.2"

[[deps.SymbolicUtils]]
deps = ["AbstractTrees", "ArrayInterface", "Bijections", "ChainRulesCore", "Combinatorics", "ConstructionBase", "DataStructures", "DocStringExtensions", "DynamicPolynomials", "IfElse", "LinearAlgebra", "MultivariatePolynomials", "NaNMath", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArrays", "SymbolicIndexingInterface", "TermInterface", "TimerOutputs", "Unityper"]
git-tree-sha1 = "04e9157537ba51dad58336976f8d04b9ab7122f0"
uuid = "d1185830-fcd6-423d-90d6-eec64667417b"
version = "3.7.2"

    [deps.SymbolicUtils.extensions]
    SymbolicUtilsLabelledArraysExt = "LabelledArrays"
    SymbolicUtilsReverseDiffExt = "ReverseDiff"

    [deps.SymbolicUtils.weakdeps]
    LabelledArrays = "2ee39098-c373-598a-b85f-a56591580800"
    ReverseDiff = "37e2e3b7-166d-5795-8a7a-e32c996b4267"

[[deps.Symbolics]]
deps = ["ADTypes", "ArrayInterface", "Bijections", "CommonWorldInvalidations", "ConstructionBase", "DataStructures", "DiffRules", "Distributions", "DocStringExtensions", "DomainSets", "DynamicPolynomials", "IfElse", "LaTeXStrings", "Latexify", "Libdl", "LinearAlgebra", "LogExpFunctions", "MacroTools", "Markdown", "NaNMath", "PrecompileTools", "Primes", "RecipesBase", "Reexport", "RuntimeGeneratedFunctions", "SciMLBase", "Setfield", "SparseArrays", "SpecialFunctions", "StaticArraysCore", "SymbolicIndexingInterface", "SymbolicLimits", "SymbolicUtils", "TermInterface"]
git-tree-sha1 = "ef7532b95fbd529e1252cabb36bba64803020840"
uuid = "0c5d862f-8b57-4792-8d23-62f2024744c7"
version = "6.16.0"

    [deps.Symbolics.extensions]
    SymbolicsForwardDiffExt = "ForwardDiff"
    SymbolicsGroebnerExt = "Groebner"
    SymbolicsLuxExt = "Lux"
    SymbolicsNemoExt = "Nemo"
    SymbolicsPreallocationToolsExt = ["PreallocationTools", "ForwardDiff"]
    SymbolicsSymPyExt = "SymPy"

    [deps.Symbolics.weakdeps]
    ForwardDiff = "f6369f11-7733-5829-9624-2563aa707210"
    Groebner = "0b43b601-686d-58a3-8a1c-6623616c7cd4"
    Lux = "b2108857-7c20-44ae-9111-449ecde12c47"
    Nemo = "2edaba10-b0f1-5616-af89-8c11ac63239a"
    PreallocationTools = "d236fae5-4411-538c-8e31-a6e3d9e00b46"
    SymPy = "24249f21-da20-56a4-8eb1-6a02cf4ae2e6"

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

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

[[deps.Tables]]
deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "OrderedCollections", "TableTraits"]
git-tree-sha1 = "598cd7c1f68d1e205689b1c2fe65a9f85846f297"
uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c"
version = "1.12.0"

[[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.TermInterface]]
git-tree-sha1 = "d673e0aca9e46a2f63720201f55cc7b3e7169b16"
uuid = "8ea1fca8-c5ef-4a55-8b96-4e9afe9c9a3c"
version = "2.0.0"

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

[[deps.TestImages]]
deps = ["AxisArrays", "ColorTypes", "FileIO", "ImageIO", "ImageMagick", "OffsetArrays", "Pkg", "StringDistances"]
git-tree-sha1 = "fc32a2c7972e2829f34cf7ef10bbcb11c9b0a54c"
uuid = "5e47fb64-e119-507b-a336-dd2b206d9990"
version = "1.9.0"

[[deps.ThreadingUtilities]]
deps = ["ManualMemory"]
git-tree-sha1 = "eda08f7e9818eb53661b3deb74e3159460dfbc27"
uuid = "8290d209-cae3-49c0-8002-c8c24d57dab5"
version = "0.5.2"

[[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", "StaticArrayInterface"]
git-tree-sha1 = "1176cc31e867217b06928e2f140c90bd1bc88283"
uuid = "06e1c1a7-607b-532d-9fad-de7d9aa2abac"
version = "0.5.0"

[[deps.TimerOutputs]]
deps = ["ExprTools", "Printf"]
git-tree-sha1 = "3a6f063d690135f5c1ba351412c82bae4d1402bf"
uuid = "a759f4b9-e2f1-59dc-863e-4aeb61b1ea8f"
version = "0.5.25"

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

[[deps.TriangularSolve]]
deps = ["CloseOpenIntervals", "IfElse", "LayoutPointers", "LinearAlgebra", "LoopVectorization", "Polyester", "Static", "VectorizationBase"]
git-tree-sha1 = "be986ad9dac14888ba338c2554dcfec6939e1393"
uuid = "d5829a12-d9aa-46ab-831f-fb7c9ab06edf"
version = "0.2.1"

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

[[deps.TruncatedStacktraces]]
deps = ["InteractiveUtils", "MacroTools", "Preferences"]
git-tree-sha1 = "ea3e54c2bdde39062abf5a9758a23735558705e1"
uuid = "781d530d-4396-4725-bb49-402e4bee1e77"
version = "1.4.0"

[[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"
weakdeps = ["ConstructionBase", "InverseFunctions"]

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

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

[[deps.Unityper]]
deps = ["ConstructionBase"]
git-tree-sha1 = "25008b734a03736c41e2a7dc314ecb95bd6bbdb0"
uuid = "a7c27f48-0311-42f6-a7f8-2c11e75eb415"
version = "0.1.6"

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

[[deps.VectorizationBase]]
deps = ["ArrayInterface", "CPUSummary", "HostCPUFeatures", "IfElse", "LayoutPointers", "Libdl", "LinearAlgebra", "SIMDTypes", "Static", "StaticArrayInterface"]
git-tree-sha1 = "e7f5b81c65eb858bed630fe006837b935518aca5"
uuid = "3d5dd08c-fd9d-11e8-17fa-ed2836048c2f"
version = "0.21.70"

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

[[deps.Vulkan_Loader_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Wayland_jll", "Xorg_libX11_jll", "Xorg_libXrandr_jll", "xkbcommon_jll"]
git-tree-sha1 = "2f0486047a07670caad3a81a075d2e518acc5c59"
uuid = "a44049a8-05dd-5a78-86c9-5fde0876e88c"
version = "1.3.243+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 = "c1a7aa6219628fcd757dede0ca95e245c5cd9511"
uuid = "efce3f68-66dc-5838-9240-27a6d6f5f9b6"
version = "1.0.0"

[[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.XZ_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "15e637a697345f6743674f1322beefbc5dcd5cfc"
uuid = "ffd25f8a-64ca-5728-b0f7-c24cf3aae800"
version = "5.6.3+0"

[[deps.Xorg_libICE_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "326b4fea307b0b39892b3e85fa451692eda8d46c"
uuid = "f67eecfb-183a-506d-b269-f58e52b52d7c"
version = "1.1.1+0"

[[deps.Xorg_libSM_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libICE_jll"]
git-tree-sha1 = "3796722887072218eabafb494a13c963209754ce"
uuid = "c834827a-8449-5923-a945-d239c165b7dd"
version = "1.2.4+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_libXdamage_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXfixes_jll"]
git-tree-sha1 = "fe4ffb2024ba3eddc862c6e1d70e2b070cd1c2bf"
uuid = "0aeada51-83db-5f97-b67e-184615cfc6f6"
version = "1.1.5+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_cursor_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_jll", "Xorg_xcb_util_renderutil_jll"]
git-tree-sha1 = "04341cb870f29dcd5e39055f895c39d016e18ccd"
uuid = "e920d4aa-a673-5f3a-b3d7-f755a4d47c43"
version = "0.1.4+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.adwaita_icon_theme_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "hicolor_icon_theme_jll"]
git-tree-sha1 = "28401767f30e5743ef5e3b0be71417bc911d3952"
uuid = "b437f822-2cd6-5e08-a15c-8bac984d38ee"
version = "43.0.1+0"

[[deps.eudev_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "gperf_jll"]
git-tree-sha1 = "431b678a28ebb559d224c0b6b6d01afce87c51ba"
uuid = "35ca27e7-8b34-5b7f-bca9-bdc33f59eb06"
version = "3.2.9+0"

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

[[deps.gdk_pixbuf_jll]]
deps = ["Artifacts", "Glib_jll", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Libtiff_jll", "Xorg_libX11_jll", "libpng_jll"]
git-tree-sha1 = "86e7731be08b12fa5e741f719603ae740e16b666"
uuid = "da03df04-f53b-5353-a52f-6a8b0620ced0"
version = "2.42.10+0"

[[deps.gperf_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "3516a5630f741c9eecb3720b1ec9d8edc3ecc033"
uuid = "1a1c6b14-54f6-533d-8383-74cd7377aa70"
version = "3.1.1+0"

[[deps.hicolor_icon_theme_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "b458a6f6fc2b1a8ca74ed63852e4eaf43fb9f5ea"
uuid = "059c91fe-1bad-52ad-bddd-f7b78713c282"
version = "0.17.0+3"

[[deps.iso_codes_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "d837a5d2a19d54243dafb6cc98d0f590a603dfa1"
uuid = "bf975903-5238-5d20-8243-bc370bc1e7e5"
version = "4.15.1+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.libevdev_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "141fe65dc3efabb0b1d5ba74e91f6ad26f84cc22"
uuid = "2db6ffa8-e38f-5e21-84af-90c45d0032cc"
version = "1.11.0+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.libinput_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "eudev_jll", "libevdev_jll", "mtdev_jll"]
git-tree-sha1 = "ad50e5b90f222cfe78aa3d5183a20a12de1322ce"
uuid = "36db933b-70db-51c0-b978-0f229ee0e533"
version = "1.18.0+0"

[[deps.libpng_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Zlib_jll"]
git-tree-sha1 = "93284c28274d9e75218a416c65ec49d0e0fcdf3d"
uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
version = "1.6.40+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.mtdev_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "814e154bdb7be91d78b6802843f76b6ece642f11"
uuid = "009596ad-96f7-51b1-9f1b-5ce2d5e8a71e"
version = "1.1.6+0"

[[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:
# ╟─9c4b446a-b42f-4292-91b6-b60b23b464da
# ╟─a1dc1236-a3d4-456a-ab2b-5a3f2bbac38a
# ╟─1e72b8d9-b161-4f31-92e1-b90a25a02a35
# ╟─8f3a2089-c44c-450d-8d10-d355c9503ed7
# ╟─8b2273c4-8aa9-401e-a2ad-c3aefedc2ed9
# ╟─7f94440a-80e4-4b8e-b5b5-2efc47b5c152
# ╟─33e36dbc-6682-4de6-a911-7eb2a0ec4f05
# ╟─5102229f-eb6e-4f07-80dd-cf2a7e151431
# ╟─95b1155d-442f-4c7a-a2a4-8fd34e854c62
# ╟─a9f38308-8483-4b3a-9160-f2622027c7e2
# ╟─b1e6cc97-a684-4cc2-8a53-5514544b453b
# ╟─09e2ec71-24e9-4c42-b073-bff7dac17697
# ╟─50acd500-9650-4b2d-bea8-1a60389a66b9
# ╟─59bc7c84-4d39-48cb-8be8-852b66f86524
# ╟─fbf65b8a-2221-4f28-a9e1-3bea27ce6eaa
# ╟─8f0ecbc6-1f18-4ca6-ad5e-94db87d0a86b
# ╟─6cdb2805-fa4e-4850-afd0-4dbdbba9312f
# ╟─00000000-0000-0000-0000-000000000001
# ╟─00000000-0000-0000-0000-000000000002