diff --git a/src/convolution/convolution_1D.jl b/src/convolution/convolution_1D.jl new file mode 100644 index 0000000..60f4876 --- /dev/null +++ b/src/convolution/convolution_1D.jl @@ -0,0 +1,2069 @@ +### A Pluto.jl notebook ### +# v0.19.27 + +#> [frontmatter] +#> image = "https://github.com/JuliaPluto/featured/assets/6933510/65dadde7-6381-4cda-ad71-7bbba4b1db97" +#> title = "Convolutions" +#> tags = ["convolution", "filter", "signal-processing", "math", "signal processing"] +#> date = "2023-09-20" +#> description = "Learn about the cool concept of convolution on continuous functions!" +#> license = "Unlicense" +#> +#> [[frontmatter.author]] +#> name = "Boshra Ariguib" +#> url = "https://github.com/ariguiba" + +using Markdown +using InteractiveUtils + +# This Pluto notebook uses @bind for interactivity. When running this notebook outside of Pluto, the following 'mock version' of @bind gives bound variables a default value (instead of an error). +macro bind(def, element) + quote + local iv = try Base.loaded_modules[Base.PkgId(Base.UUID("6e696c72-6542-2067-7265-42206c756150"), "AbstractPlutoDingetjes")].Bonds.initial_value catch; b -> missing; end + local el = $(esc(element)) + global $(esc(def)) = Core.applicable(Base.get, el) ? Base.get(el) : iv(el) + el + end +end + +# ╔═╡ 3fd4b34c-18ed-4b07-b594-01afb377ead7 +begin + # packages for convolution: + using DSP, SignalAnalysis, Random + + # plotting: + using CairoMakie, ColorSchemes, Colors, ColorTypes + using MakieThemes + set_theme!(ggthemr(:flat)) + + # widgets and layout: + using PlutoUI + using PlutoUI.ExperimentalLayout: grid, vbox, hbox, Div + using HypertextLiteral +end + +# ╔═╡ ca75244c-69ac-45c8-aa33-59c05dc4091b +begin + import CairoMakie:Polygon + using GeometryBasics + function plot_pill(emoji_pill_pic::Matrix) + positions = Colors.alpha.(emoji_pill_pic).<0.5 + + curr_fig = Figure() + curr_ax = Axis(curr_fig[1, 1]) + contour_plot = contour!(curr_ax, positions, levels=1, labels = false) + pill_points = contour_plot.plots[2].converted[1][]./10 + pill_points = [Point2f.(0.5 .+6 .- p.data[1] .-3.5,p.data[2] .- 3.5) for p in pill_points] + + pill_shape = Polygon(pill_points[1:end-1]) + return pill_shape + end +end + +# ╔═╡ 00358bc2-1e49-45a9-9b78-293aadd40976 +md"""## Convolutions *Explained* + +#### Introduction +Hello there! If you ever came across convolutions in some certain science context, you know they can be VERY confusing. This notebook will help you get a better intuition for convolutions. Let's go!""" + +# ╔═╡ f265f5b9-d5d0-45ce-a850-f4237218cf99 +md""" +#### A new disease appears - oh no +""" + +# ╔═╡ dbdbcbbe-57fd-497f-b5ba-83b61e87de0b +md"""Let's start with this great example from the [**better explained blog** ](https://betterexplained.com/articles/intuitive-convolution/) : Suppose there is a **pandemic** going on and more people are getting sick every day. So, you are a doctor and you have the following **new** patients coming in each day (yes, sadly even elves and fairies can get this disease): +""" + +# ╔═╡ f97f9f46-b5c7-4cee-a69f-1eb53b560952 +md"""The number of patients increases as the disease spreads.""" + +# ╔═╡ 796aad78-36d4-42fd-a467-707692b094a2 + + +# ╔═╡ adfc8467-93bf-472e-a9fc-bd502caa5daa +md""" +#### But we have a treatment, puh! +""" + +# ╔═╡ f9df01a1-8fb7-4337-9415-9ab56d9c696a +md"""The patients all have the same disease that requires the following treatment: +- On the 1st day, the patient recieves 1 pill +- On the 2nd day, the patient recieves 2 pills +- On the nth day, the patient recieves n pills + +So something that looks like this: """ + +# ╔═╡ bb869b27-0bce-4314-b28f-684ccc14f7ea +md"""> **Try it:** Choose your own treatment plan (you can also chose 0 pills for a certain day):""" + +# ╔═╡ faf156f0-fa3f-46f6-98d3-3bbf0690a0a4 +begin + a1 = @bind a1_s PlutoUI.Scrubbable(0:1:6, default=1) + a2 = @bind a2_s PlutoUI.Scrubbable(0:1:6, default=2) + a3 = @bind a3_s PlutoUI.Scrubbable(0:1:6, default=3) + a4 = @bind a4_s PlutoUI.Scrubbable(0:1:6, default=4) + a5 = @bind a5_s PlutoUI.Scrubbable(0:1:6, default=0) + a6 = @bind a6_s PlutoUI.Scrubbable(0:1:6, default=0) + a7 = @bind a7_s PlutoUI.Scrubbable(0:1:6, default=0) + a8 = @bind a8_s PlutoUI.Scrubbable(0:1:6, default=0) + +end; + +# ╔═╡ 88e4551f-9ae1-4a5f-819b-01c43a319981 +begin + #treatment_array = @bind treatment_in PlutoUI.Scrubbable(treatment_array) + md""" $(a1) $(a2) $(a3) $(a4) $(a5) $(a6) $(a7) $(a8)""" +end + +# ╔═╡ 27bd1602-3ca0-4daf-a9ff-c76ea818ead4 +md""" +### But, how many pills do we need to stockpile? +""" + +# ╔═╡ 572bd8d5-65b0-462e-a143-811f4bfa875e +md"""--- +Now to make things more visual, move the slider around to see how many pills you need each day!""" + +# ╔═╡ 1fd4973b-8a25-4ddb-ac6d-3fb444a5ed2c +md"""**Hint:** In order to administer the treatment in the right order, we need to **flip** patients lists, so they get admitted to the hospital in the right order! So now it looks like this: +""" + +# ╔═╡ 0ccf60db-75b2-466d-935e-f39855bc36f7 +md"""## Generating Code """ + +# ╔═╡ e4a17824-0e9f-442e-82bc-62b8d46e88e5 +md"""The following code sets up our initial figure. If you're interested in drawing graphs in computer science, you can take a look but you don't need to understand every line.""" + +# ╔═╡ 032130c4-686b-4db9-9753-9b0fe764f94e +begin + # Number of time steps + nb = 8 + + # Slider for how long the pandemic should go + len_slider = @bind len PlutoUI.Slider(3:1:nb-1, show_value=true, default=5) + + # Checkboxes for more options + show_stairs = @bind stairs CheckBox(default=true) + make_exponential = @bind exponential CheckBox() + +end; + +# ╔═╡ 380ba7f0-76e6-47ec-98e2-e6c6a3b7f2d5 +patients = exponential ? collect(["👵","🧑👴", "🧑🧔🏼🧝🧚", "👧👴👴👩🧝🧚👩🧓", "👵🧝🧑👴🧑🧝🧝🧚🧓🧚🧓🧚🧑🧝🧝🧝", "👵🧝🧑👴🧑👵🧝🧑👴🧑🧓🧚👩🧝🧚👩👩🧝🧚👩👴👴👩🧝🧚🧓🧚🧓👴👵🧑🧑", "🧚🧚🧚🧚🧚🧚🧚🧚🧚🧓🧚🧓🧚🧑🧝🧝👧👴👴👩🧝🧚👩🧓👧👴👴👩🧝🧚👩🧓👵🧝🧑👴🧑👵🧝🧑👴🧑🧓🧚👩🧝🧚👩👩🧝🧚👩👴👴👩🧝🧚🧓🧚🧓👴👵🧑🧑🧑", ""])[1:len] : collect(["👵","👴🧑", "👩🧔🏼🧝🧚", "👧👴👴👩🧝🧚👩🧓", "👵🧝🧑👴", "🧓🧚", "🧚", ""])[1:len] + +# ╔═╡ a60029d5-ae8d-4704-bef1-076949712c37 +patients_flipped = append!(["" for i in 1:8-length(patients)], reverse(patients)) + +# ╔═╡ 9243a029-8f8d-4a28-b098-d2a2810a8786 +md"""**Try it:** How many days should the disease go on: $(len_slider) day(s)""" + +# ╔═╡ bccfdd98-b425-4f8d-a58d-489134851ebd +begin + # Set slider for the day (index) + k_slider = @bind k_conv PlutoUI.Slider(1:2*nb+1, show_value=true, default=1) + md"""**Try it:**: calculate up to day: $(k_slider) + > **Test your understanding**: On what day do you require most pills?""" +end + +# ╔═╡ e63c92a5-659e-41f7-85a4-c2f3baffcef6 +md"""## Appendix""" + +# ╔═╡ 05df72e9-f45b-49c3-8015-9212f439cf72 +begin + # Makie can't display emojis directly, so we have to grab them from github - sorry + import PNGFiles + emoji_pill_pic = PNGFiles.load(download("https://raw.githubusercontent.com/pranabdas/github-emoji-assets/main/assets/pill.png")) .|> RGBA{Float64}; +end; + +# ╔═╡ 9fab3bbb-5c7f-4464-97c9-847f52754845 +treatment_in = [a1_s a2_s a3_s a4_s a5_s a6_s a7_s a8_s]; + +# ╔═╡ 9274ed36-a28e-42f3-879f-167d5afa6fc7 +treatment = vec([repeat('💊', i) for i in treatment_in]) + +# ╔═╡ f0d08486-0086-48da-baeb-169f3812d0ea +let + t = treatment + p = patients +md"""Now as a doctor, you want to be ready for this scenario, at each day you want to know, how many pills you will need for your patients: + +- On day 1: you would give $((t[1])) to $((p[1])) +- On day 2: you would give $((t[2])) to $((p[1])) , and $((t[1])) to $((p[2])) each +- On day 3: you would give $((t[3])) to $(length(p[1])) , and $((t[2])) pills to $((p[2])) , and $((t[1])) to $((p[3])) each ... etc + +Notice how we are multiplying and adding each day? We are close to performing a convolution already! +""" +end + +# ╔═╡ 472b52d8-e787-4a93-83d8-c53e977a143c +begin + # Set the number of patients array (First function) + numbers_patients = [length(s) for s in patients_flipped] + y2_patients = append!([0 for i in 1:9], numbers_patients, [0 for i in 1:16-length(patients_flipped)]) + + # Set the number of pills array (Second function) + numbers_pills = [length(s) for s in treatment] + y1_pills = append!([0 for i in 1:9], numbers_pills, [0 for i in 1:16-length(numbers_pills)]) + + # Set the function to draw the patients moving + if k_conv < 9 idx = 9 - k_conv else idx = 34 - k_conv end + y2_patients_draw = y2_patients[[idx+1:end; 1:idx]] + +end; + +# ╔═╡ d7ce43e5-7af7-4182-9992-1501e6d2e532 +function plot_grey_pill(emoji_pill_pic::Matrix{RGBA{Float64}}) + emoji_pill_org = deepcopy(emoji_pill_pic) + grey_pill = GrayA.(emoji_pill_org) + for k = 1:length(grey_pill) + grey_pill[k] = GrayA(grey_pill[k].val,grey_pill[k].alpha* 0.2) + end + return grey_pill +end + +# ╔═╡ 0dd8235c-c09b-49ae-b02a-4bbb285970a6 +happyX = findlast(treatment_in[1,:] .> 0) + +# ╔═╡ 8680db2e-3dda-4aff-a00e-130ac1f4486c +function draw_point(x, y1, ax::Axis, marker, size_marker, color::ColorTypes.RGB{Float64}, offset::Int, masked=false) + stroke = masked ? :black : :grey + z = 0 + size_marker = 0.8*size_marker + for y = 1:y1[1] + #@show stroke,color,masked + #@show marker + if marker == '😷' + + obj = scatter!(ax,[x.+0.1],[y.+offset], markersize=40,strokewidth=0.0,marker='⚫', strokecolor=stroke, color=RGB{Float64}(1,1,1), overdraw=masked) + #translate!(obj[1], 0, 0, z) + #z += 0.1 + obj = scatter!(ax,[x.+0.1],[y.+offset], markersize=size_marker,strokewidth=0.0,marker= x > happyX ? '😄' : marker, strokecolor=stroke, color=color, overdraw=masked) + #translate!(obj[1], 0, 0, z) + #z -= 0.3 + + else + + scatter!(ax,[x.-0.2],[y.+offset], markersize=size_marker,strokewidth=0.0,marker=marker, strokecolor=stroke, color=color, overdraw=masked) + end + end +end + +# ╔═╡ c2455fae-f733-4e59-b2d0-a76913810f15 +function draw_grey_points(x, y, ax, len, marker, size_marker, colors, masked=false) + + for j in 1:len + color = colors[j % length(colors) + 1] + draw_point(x[j], y[j], ax, marker, size_marker, color, 0, masked) + + end +end + +# ╔═╡ df178bb8-3b81-4c4b-ba94-3ad945e63007 +begin + color_grey = RGB{Float64}(0.5, 0.5, 0.5) + colors = [ColorSchemes.viridis[i] for i in 1:40:256] + col_length = length(colors) + color_blue = ColorSchemes.viridis[116] +end; + +# ╔═╡ da0a4117-629e-42b5-95ae-d49f10769830 +function draw_all(l, k, k_conv, x, x_conv, y1, y2, y2_draw, y12, y3, ax1, ax2, ax3, emoji_pill_grey, emoji_pill, grey_marker, color_marker, masked=false) + offset = 0 + for index in k:k+nb + scatter!(ax3, (x_conv[k_conv], y3[k_conv]), color = colors[1]) + + if index < 1 || index > l + continue + end + + color = colors[index % col_length + 1] + + + draw_point(x[index], y12[index], ax2, emoji_pill, color_marker, color, 0) + draw_point(x_conv[k_conv], y12[index], ax3, emoji_pill, color_marker, color, offset) + + draw_point(x[index], y12[index], ax2, emoji_pill_grey, grey_marker, color, 0) + + if y1[index] != 0 && y2_draw[index] != 0 + draw_point(x[index], y2_draw[index], ax1,'😷' , grey_marker, color, 0, masked) + end + + offset += y12[index] + end +end + +# ╔═╡ ceb05a23-93b8-4423-a5f9-f6e3d961d0c6 +begin + # Set up Figure elements + f = Figure(;resolution= (650,700)) + + ax1 = Axis(f[1, 1]; + xticklabelsize = 32, + yticklabelsize = 12, + ylabel="New patients") + + ax2 = Axis(f[2, 1]; + xticklabelsize = 32, + yticklabelsize = 12, + ylabel = "New pills required") + + ax3 = Axis(f[3, 1]; + xticklabelsize = 12, + yticklabelsize = 12, + ylabel = "Stockpile required", + xlabel = "Day") + + # Set up range and constants + x = range(-nb, 2*nb, step=1) + x_conv = range(-nb, 5*nb, step = 1) .- nb*1.5 .+4 + l = length(x) + k = k_conv - nb +1 + + # This is to add the shape of the pill on top of the color + emoji_pill_grey = plot_grey_pill(emoji_pill_pic) + + # Set up the emojis and their sizes + emoji_pill = plot_pill(emoji_pill_pic) + grey_marker = 25 + color_marker = 4 + + # Set up the functions + y1 = y1_pills + y2 = y2_patients + y2_draw = y2_patients_draw + + # Intermediate step for convolution + y12_draw = y1 .* y2_draw + y12 = y1 .* y2 + + # Set up the final convoluted result + y3 = DSP.conv(y1,reverse(y2)) + + # Draw vertical lines + vlines!.([ax1,ax2],Ref([k_conv-1]), color = color_blue) + vlines!.([ax3],Ref([k-2+nb/2].+4), color = color_blue) + + # Get the top value of each plot and add day line + max_ax1 = maximum([maximum(y1) maximum(y2)]) + 2 + max_ax2 = maximum(y1) * maximum(y2) + 2 + text!(ax1,k_conv-1, max_ax1-2, text=" Current day", color = color_blue) + + # Draw the function lines + if stairs + stairs!(ax1, x, y1, color = colors[6], step=:center) + stairs!(ax1, x, y2_draw, color = colors[4], step=:center) + stairs!(ax2, x, y12_draw, color = colors[7], step=:center) + stairs!(ax3, x_conv, y3, color=colors[1], step=:center) + end + + # Draw the points on the graph for the current day + draw_grey_points(x, y2_draw, ax1, l, '😷', [grey_marker], [color_grey], true) + draw_grey_points(x, y1, ax1, l, emoji_pill, color_marker, colors) + + draw_all(l, k+nb, k_conv+2*nb, x, x_conv, y1, y2, y2_draw, y12_draw, y3, ax1, ax2, ax3, emoji_pill_grey, emoji_pill, grey_marker, color_marker, true) + + draw_grey_points(x, y1, ax1, l, emoji_pill_grey, grey_marker, [color_grey]) + draw_grey_points(x_conv, y3, ax3, 4*nb -1, emoji_pill_grey, grey_marker, [color_grey]) + + + # Set the axes limits + xlims!.([ax1,ax2,ax3],Ref((-4,12))) + ylims!(ax1, (-1, max_ax1)) + ylims!(ax2, (-0.2*max_ax2, max_ax2)) + ylims!(ax3, (-1, maximum(y3) + 7)) + + # Draw * as labels + ax1.xticks = (-len+1:0).+k_conv.-1 + showPlus = sum(y12_draw.>0) > 0 + ax1.xtickformat = "*\n↓" + + # Draw + as labels + midpoint = [(2*k_conv - len - 1)/2] + ax2.xticks = midpoint + ax2.xtickformat = "+\n↓" + bracket!(ax2,midpoint.-len/2,[-0.5],midpoint.+len/2,[-0.5];orientation=:down) + ax3.xticks = (-nb:5*nb, string.(0 .+ (-nb+4:5*nb+4))) + + # a bit hacky, Makie doesnt allow specifying lineheight of ticks directly + ax1.xaxis.elements[:ticklabels].lineheight = 0.5 + ax2.xaxis.elements[:ticklabels].lineheight = 0.5 + + +end; + +# ╔═╡ 6b243243-8f26-4f2d-8727-564f0701b302 +f + +# ╔═╡ c4f25a29-009e-47e4-adc0-18c94e247df4 +sidebar = Div([ + @htl(""" +
+ 🕹 + 🕹 + Interactive Sliders +
+ """), + md""" + Here are all interactive bits of the notebook at one place. Feel free to change them! + """ +], class="plutoui-sidebar aside") + +# ╔═╡ 110068f5-0433-40bc-ab9e-cafe8fa3cc68 +sidebar2 = Div([ + md""" **Choose a day:**""", + k_slider, + md"""**Choose how long the pandemic is:**""", + len_slider, + md"""**Change the treatment:**""", + md""" $(a1) $(a2) $(a3) $(a4) $(a5) $(a6) $(a7) $(a8)""", + md"""**Make the pandemic exponential:** $(make_exponential)""", + md"""**Show the stairs** $(show_stairs)""" +], class="plutoui-sidebar aside third") + +# ╔═╡ 9ad51efd-a487-4153-ac3a-077ae99905bc +html""" + + +""" + +# ╔═╡ 00000000-0000-0000-0000-000000000001 +PLUTO_PROJECT_TOML_CONTENTS = """ +[deps] +CairoMakie = "13f3f980-e62b-5c42-98c6-ff1f3baf88f0" +ColorSchemes = "35d6a980-a343-548e-a6ea-1d62b119f2f4" +ColorTypes = "3da002f7-5984-5a60-b8a6-cbb66c0b333f" +Colors = "5ae59095-9a9b-59fe-a467-6f913c188581" +DSP = "717857b8-e6f2-59f4-9121-6e50c889abd2" +GeometryBasics = "5c1252a2-5f33-56bf-86c9-59e7332b4326" +HypertextLiteral = "ac1192a8-f4b3-4bfe-ba22-af5b92cd3ab2" +MakieThemes = "e296ed71-da82-5faf-88ab-0034a9761098" +PNGFiles = "f57f5aa1-a3ce-4bc8-8ab9-96f992907883" +PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8" +Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" +SignalAnalysis = "df1fea92-c066-49dd-8b36-eace3378ea47" + +[compat] +CairoMakie = "~0.10.4" +ColorSchemes = "~3.21.0" +ColorTypes = "~0.11.4" +Colors = "~0.12.10" +DSP = "~0.7.8" +GeometryBasics = "~0.4.7" +HypertextLiteral = "~0.9.4" +MakieThemes = "~0.1.0" +PNGFiles = "~0.3.17" +PlutoUI = "~0.7.51" +SignalAnalysis = "~0.5.0" +""" + +# ╔═╡ 00000000-0000-0000-0000-000000000002 +PLUTO_MANIFEST_TOML_CONTENTS = """ +# This file is machine-generated - editing it directly is not advised + +[[AbstractFFTs]] +deps = ["ChainRulesCore", "LinearAlgebra", "Test"] +git-tree-sha1 = "d92ad398961a3ed262d8bf04a1a2b8340f915fef" +uuid = "621f4979-c628-5d54-868e-fcf4e3e8185c" +version = "1.5.0" + +[[AbstractLattices]] +git-tree-sha1 = "f35684b7349da49fcc8a9e520e30e45dbb077166" +uuid = "398f06c4-4d28-53ec-89ca-5b2656b7603d" +version = "0.2.1" + +[[AbstractPlutoDingetjes]] +deps = ["Pkg"] +git-tree-sha1 = "91bd53c39b9cbfb5ef4b015e8b582d344532bd0a" +uuid = "6e696c72-6542-2067-7265-42206c756150" +version = "1.2.0" + +[[AbstractTrees]] +git-tree-sha1 = "faa260e4cb5aba097a73fab382dd4b5819d8ec8c" +uuid = "1520ce14-60c1-5f80-bbc7-55ef81b5835c" +version = "0.4.4" + +[[Adapt]] +deps = ["LinearAlgebra", "Requires"] +git-tree-sha1 = "76289dc51920fdc6e0013c872ba9551d54961c24" +uuid = "79e6a3ab-5dfb-504d-930d-738a2a938a0e" +version = "3.6.2" + +[[Animations]] +deps = ["Colors"] +git-tree-sha1 = "e81c509d2c8e49592413bfb0bb3b08150056c79d" +uuid = "27a7e980-b3e6-11e9-2bcd-0b925532e340" +version = "0.4.1" + +[[ArgTools]] +uuid = "0dad84c5-d112-42e6-8d28-ef12dabb789f" + +[[ArrayInterface]] +deps = ["Adapt", "LinearAlgebra", "Requires", "SparseArrays", "SuiteSparse"] +git-tree-sha1 = "f83ec24f76d4c8f525099b2ac475fc098138ec31" +uuid = "4fba245c-0d91-5ea0-9b3e-6abc04ee57a9" +version = "7.4.11" + +[[Artifacts]] +uuid = "56f22d72-fd6d-98f1-02f0-08ddc0907c33" + +[[Automa]] +deps = ["TranscodingStreams"] +git-tree-sha1 = "ef9997b3d5547c48b41c7bd8899e812a917b409d" +uuid = "67c07d97-cdcb-5c2c-af73-a7f9c32a568b" +version = "0.8.4" + +[[AxisAlgorithms]] +deps = ["LinearAlgebra", "Random", "SparseArrays", "WoodburyMatrices"] +git-tree-sha1 = "66771c8d21c8ff5e3a93379480a2307ac36863f7" +uuid = "13072b0f-2c55-5437-9ae7-d433b7a33950" +version = "1.0.1" + +[[AxisArrays]] +deps = ["Dates", "IntervalSets", "IterTools", "RangeArrays"] +git-tree-sha1 = "16351be62963a67ac4083f748fdb3cca58bfd52f" +uuid = "39de3d68-74b9-583c-8d2d-e117c070f3a9" +version = "0.4.7" + +[[Base64]] +uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f" + +[[Bzip2_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "19a35467a82e236ff51bc17a3a44b69ef35185a2" +uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0" +version = "1.0.8+0" + +[[CEnum]] +git-tree-sha1 = "eb4cb44a499229b3b8426dcfb5dd85333951ff90" +uuid = "fa961155-64e5-5f13-b03f-caf6b980ea82" +version = "0.4.2" + +[[CRC32c]] +uuid = "8bf52ea8-c179-5cab-976a-9e18b702a9bc" + +[[CRlibm]] +deps = ["CRlibm_jll"] +git-tree-sha1 = "32abd86e3c2025db5172aa182b982debed519834" +uuid = "96374032-68de-5a5b-8d9e-752f78720389" +version = "1.0.1" + +[[CRlibm_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "e329286945d0cfc04456972ea732551869af1cfc" +uuid = "4e9b3aee-d8a1-5a3d-ad8b-7d824db253f0" +version = "1.0.1+0" + +[[Cairo]] +deps = ["Cairo_jll", "Colors", "Glib_jll", "Graphics", "Libdl", "Pango_jll"] +git-tree-sha1 = "d0b3f8b4ad16cb0a2988c6788646a5e6a17b6b1b" +uuid = "159f3aea-2a34-519c-b102-8c37f9878175" +version = "1.0.5" + +[[CairoMakie]] +deps = ["Base64", "Cairo", "Colors", "FFTW", "FileIO", "FreeType", "GeometryBasics", "LinearAlgebra", "Makie", "PrecompileTools", "SHA"] +git-tree-sha1 = "696e7931bd6f5c773418452cbe5fd241cb85ac2a" +uuid = "13f3f980-e62b-5c42-98c6-ff1f3baf88f0" +version = "0.10.9" + +[[Cairo_jll]] +deps = ["Artifacts", "Bzip2_jll", "CompilerSupportLibraries_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "JLLWrappers", "LZO_jll", "Libdl", "Pixman_jll", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll", "Zlib_jll", "libpng_jll"] +git-tree-sha1 = "4b859a208b2397a7a623a03449e4636bdb17bcf2" +uuid = "83423d85-b0ee-5818-9007-b63ccbeb887a" +version = "1.16.1+1" + +[[Calculus]] +deps = ["LinearAlgebra"] +git-tree-sha1 = "f641eb0a4f00c343bbc32346e1217b86f3ce9dad" +uuid = "49dc2e85-a5d0-5ad3-a950-438e2897f1b9" +version = "0.5.1" + +[[ChainRulesCore]] +deps = ["Compat", "LinearAlgebra", "SparseArrays"] +git-tree-sha1 = "e30f2f4e20f7f186dc36529910beaedc60cfa644" +uuid = "d360d2e6-b24c-11e9-a2a3-2a2ae2dbcce4" +version = "1.16.0" + +[[ChangesOfVariables]] +deps = ["InverseFunctions", "LinearAlgebra", "Test"] +git-tree-sha1 = "2fba81a302a7be671aefe194f0525ef231104e7f" +uuid = "9e997f8a-9a97-42d5-a9f1-ce6bfc15e2c0" +version = "0.1.8" + +[[ColorBrewer]] +deps = ["Colors", "JSON", "Test"] +git-tree-sha1 = "61c5334f33d91e570e1d0c3eb5465835242582c4" +uuid = "a2cac450-b92f-5266-8821-25eda20663c8" +version = "0.4.0" + +[[ColorSchemes]] +deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "PrecompileTools", "Random"] +git-tree-sha1 = "be6ab11021cd29f0344d5c4357b163af05a48cba" +uuid = "35d6a980-a343-548e-a6ea-1d62b119f2f4" +version = "3.21.0" + +[[ColorTypes]] +deps = ["FixedPointNumbers", "Random"] +git-tree-sha1 = "eb7f0f8307f71fac7c606984ea5fb2817275d6e4" +uuid = "3da002f7-5984-5a60-b8a6-cbb66c0b333f" +version = "0.11.4" + +[[ColorVectorSpace]] +deps = ["ColorTypes", "FixedPointNumbers", "LinearAlgebra", "SpecialFunctions", "Statistics", "TensorCore"] +git-tree-sha1 = "600cc5508d66b78aae350f7accdb58763ac18589" +uuid = "c3611d14-8923-5661-9e6a-0046d554d3a4" +version = "0.9.10" + +[[Colors]] +deps = ["ColorTypes", "FixedPointNumbers", "Reexport"] +git-tree-sha1 = "fc08e5930ee9a4e03f84bfb5211cb54e7769758a" +uuid = "5ae59095-9a9b-59fe-a467-6f913c188581" +version = "0.12.10" + +[[Combinatorics]] +git-tree-sha1 = "08c8b6831dc00bfea825826be0bc8336fc369860" +uuid = "861a8166-3701-5b0c-9a16-15d98fcdc6aa" +version = "1.0.2" + +[[CommonSubexpressions]] +deps = ["MacroTools", "Test"] +git-tree-sha1 = "7b8a93dba8af7e3b42fecabf646260105ac373f7" +uuid = "bbf7d656-a473-5ed7-a52c-81e309532950" +version = "0.3.0" + +[[Compat]] +deps = ["Dates", "LinearAlgebra", "UUIDs"] +git-tree-sha1 = "e460f044ca8b99be31d35fe54fc33a5c33dd8ed7" +uuid = "34da2185-b29b-5c13-b0c7-acf172513d20" +version = "4.9.0" + +[[CompilerSupportLibraries_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae" + +[[ConstructionBase]] +deps = ["LinearAlgebra"] +git-tree-sha1 = "c53fc348ca4d40d7b371e71fd52251839080cbc9" +uuid = "187b0558-2788-49d3-abe0-74a17ed4e7c9" +version = "1.5.4" + +[[Contour]] +git-tree-sha1 = "d05d9e7b7aedff4e5b51a029dced05cfb6125781" +uuid = "d38c429a-6771-53c6-b99e-75d170b6e991" +version = "0.6.2" + +[[DSP]] +deps = ["Compat", "FFTW", "IterTools", "LinearAlgebra", "Polynomials", "Random", "Reexport", "SpecialFunctions", "Statistics"] +git-tree-sha1 = "f7f4319567fe769debfcf7f8c03d8da1dd4e2fb0" +uuid = "717857b8-e6f2-59f4-9121-6e50c889abd2" +version = "0.7.9" + +[[DataAPI]] +git-tree-sha1 = "8da84edb865b0b5b0100c0666a9bc9a0b71c553c" +uuid = "9a962f9c-6df0-11e9-0e5d-c546b8b5ee8a" +version = "1.15.0" + +[[DataStructures]] +deps = ["Compat", "InteractiveUtils", "OrderedCollections"] +git-tree-sha1 = "3dbd312d370723b6bb43ba9d02fc36abade4518d" +uuid = "864edb3b-99cc-5e75-8d2d-829cb0a9cfe8" +version = "0.18.15" + +[[DataValueInterfaces]] +git-tree-sha1 = "bfc1187b79289637fa0ef6d4436ebdfe6905cbd6" +uuid = "e2d170a0-9d28-54be-80f0-106bbe20a464" +version = "1.0.0" + +[[Dates]] +deps = ["Printf"] +uuid = "ade2ca70-3891-5945-98fb-dc099432e06a" + +[[DelaunayTriangulation]] +deps = ["DataStructures", "EnumX", "ExactPredicates", "Random", "SimpleGraphs"] +git-tree-sha1 = "bea7984f7e09aeb28a3b071c420a0186cb4fabad" +uuid = "927a84f5-c5f4-47a5-9785-b46e178433df" +version = "0.8.8" + +[[DensityInterface]] +deps = ["InverseFunctions", "Test"] +git-tree-sha1 = "80c3e8639e3353e5d2912fb3a1916b8455e2494b" +uuid = "b429d917-457f-4dbc-8f4c-0cc954292b1d" +version = "0.4.0" + +[[DiffResults]] +deps = ["StaticArraysCore"] +git-tree-sha1 = "782dd5f4561f5d267313f23853baaaa4c52ea621" +uuid = "163ba53b-c6d8-5494-b064-1a9d43ac40c5" +version = "1.1.0" + +[[DiffRules]] +deps = ["IrrationalConstants", "LogExpFunctions", "NaNMath", "Random", "SpecialFunctions"] +git-tree-sha1 = "23163d55f885173722d1e4cf0f6110cdbaf7e272" +uuid = "b552c78f-8df3-52c6-915a-8e097449b14b" +version = "1.15.1" + +[[Distributed]] +deps = ["Random", "Serialization", "Sockets"] +uuid = "8ba89e20-285c-5b6f-9357-94700520ee1b" + +[[Distributions]] +deps = ["ChainRulesCore", "DensityInterface", "FillArrays", "LinearAlgebra", "PDMats", "Printf", "QuadGK", "Random", "SpecialFunctions", "Statistics", "StatsAPI", "StatsBase", "StatsFuns", "Test"] +git-tree-sha1 = "938fe2981db009f531b6332e31c58e9584a2f9bd" +uuid = "31c24e10-a181-5473-b8eb-7969acd0382f" +version = "0.25.100" + +[[DocStringExtensions]] +deps = ["LibGit2"] +git-tree-sha1 = "2fb1e02f2b635d0845df5d7c167fec4dd739b00d" +uuid = "ffbed154-4ef7-542d-bbb7-c09d3a79fcae" +version = "0.9.3" + +[[Downloads]] +deps = ["ArgTools", "LibCURL", "NetworkOptions"] +uuid = "f43a241f-c20a-4ad4-852c-f6b1247861c6" + +[[DualNumbers]] +deps = ["Calculus", "NaNMath", "SpecialFunctions"] +git-tree-sha1 = "5837a837389fccf076445fce071c8ddaea35a566" +uuid = "fa6b7ba4-c1ee-5f82-b5fc-ecf0adba8f74" +version = "0.6.8" + +[[EarCut_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "e3290f2d49e661fbd94046d7e3726ffcb2d41053" +uuid = "5ae413db-bbd1-5e63-b57d-d24a61df00f5" +version = "2.2.4+0" + +[[EnumX]] +git-tree-sha1 = "bdb1942cd4c45e3c678fd11569d5cccd80976237" +uuid = "4e289a0a-7415-4d19-859d-a7e5c4648b56" +version = "1.0.4" + +[[ErrorfreeArithmetic]] +git-tree-sha1 = "d6863c556f1142a061532e79f611aa46be201686" +uuid = "90fa49ef-747e-5e6f-a989-263ba693cf1a" +version = "0.5.2" + +[[ExactPredicates]] +deps = ["IntervalArithmetic", "Random", "StaticArraysCore", "Test"] +git-tree-sha1 = "276e83bc8b21589b79303b9985c321024ffdf59c" +uuid = "429591f6-91af-11e9-00e2-59fbe8cec110" +version = "2.2.5" + +[[Expat_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "4558ab818dcceaab612d1bb8c19cee87eda2b83c" +uuid = "2e619515-83b5-522b-bb60-26c02a35a201" +version = "2.5.0+0" + +[[Extents]] +git-tree-sha1 = "5e1e4c53fa39afe63a7d356e30452249365fba99" +uuid = "411431e0-e8b7-467b-b5e0-f676ba4f2910" +version = "0.1.1" + +[[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" + +[[FFTW]] +deps = ["AbstractFFTs", "FFTW_jll", "LinearAlgebra", "MKL_jll", "Preferences", "Reexport"] +git-tree-sha1 = "b4fbdd20c889804969571cc589900803edda16b7" +uuid = "7a1cc6ca-52ef-59f5-83cd-3a7055c09341" +version = "1.7.1" + +[[FFTW_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "c6033cc3892d0ef5bb9cd29b7f2f0331ea5184ea" +uuid = "f5851436-0d7a-5f13-b9de-f02708fd171a" +version = "3.3.10+0" + +[[FastRounding]] +deps = ["ErrorfreeArithmetic", "LinearAlgebra"] +git-tree-sha1 = "6344aa18f654196be82e62816935225b3b9abe44" +uuid = "fa42c844-2597-5d31-933b-ebd51ab2693f" +version = "0.3.1" + +[[FileIO]] +deps = ["Pkg", "Requires", "UUIDs"] +git-tree-sha1 = "299dc33549f68299137e51e6d49a13b5b1da9673" +uuid = "5789e2e9-d7fb-5bc7-8068-2c6fae9b9549" +version = "1.16.1" + +[[FillArrays]] +deps = ["LinearAlgebra", "Random", "SparseArrays", "Statistics"] +git-tree-sha1 = "a20eaa3ad64254c61eeb5f230d9306e937405434" +uuid = "1a297f60-69ca-5386-bcde-b61e274b549b" +version = "1.6.1" + +[[FiniteDiff]] +deps = ["ArrayInterface", "LinearAlgebra", "Requires", "Setfield", "SparseArrays", "StaticArrays"] +git-tree-sha1 = "c6e4a1fbe73b31a3dea94b1da449503b8830c306" +uuid = "6a86dc24-6348-571c-b903-95158fe2bd41" +version = "2.21.1" + +[[FixedPointNumbers]] +deps = ["Statistics"] +git-tree-sha1 = "335bfdceacc84c5cdf16aadc768aa5ddfc5383cc" +uuid = "53c48c17-4a7d-5ca2-90c5-79b7896eea93" +version = "0.8.4" + +[[Fontconfig_jll]] +deps = ["Artifacts", "Bzip2_jll", "Expat_jll", "FreeType2_jll", "JLLWrappers", "Libdl", "Libuuid_jll", "Pkg", "Zlib_jll"] +git-tree-sha1 = "21efd19106a55620a188615da6d3d06cd7f6ee03" +uuid = "a3f928ae-7b40-5064-980b-68af3947d34b" +version = "2.13.93+0" + +[[Formatting]] +deps = ["Printf"] +git-tree-sha1 = "8339d61043228fdd3eb658d86c926cb282ae72a8" +uuid = "59287772-0a20-5a39-b81b-1366585eb4c0" +version = "0.4.2" + +[[ForwardDiff]] +deps = ["CommonSubexpressions", "DiffResults", "DiffRules", "LinearAlgebra", "LogExpFunctions", "NaNMath", "Preferences", "Printf", "Random", "SpecialFunctions", "StaticArrays"] +git-tree-sha1 = "cf0fe81336da9fb90944683b8c41984b08793dad" +uuid = "f6369f11-7733-5829-9624-2563aa707210" +version = "0.10.36" + +[[FreeType]] +deps = ["CEnum", "FreeType2_jll"] +git-tree-sha1 = "50351f83f95282cf903e968d7c6e8d44a5f83d0b" +uuid = "b38be410-82b0-50bf-ab77-7b57e271db43" +version = "4.1.0" + +[[FreeType2_jll]] +deps = ["Artifacts", "Bzip2_jll", "JLLWrappers", "Libdl", "Zlib_jll"] +git-tree-sha1 = "d8db6a5a2fe1381c1ea4ef2cab7c69c2de7f9ea0" +uuid = "d7e528f0-a631-5988-bf34-fe36492bcfd7" +version = "2.13.1+0" + +[[FreeTypeAbstraction]] +deps = ["ColorVectorSpace", "Colors", "FreeType", "GeometryBasics"] +git-tree-sha1 = "38a92e40157100e796690421e34a11c107205c86" +uuid = "663a7486-cb36-511b-a19d-713bb74d65c9" +version = "0.10.0" + +[[FriBidi_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "aa31987c2ba8704e23c6c8ba8a4f769d5d7e4f91" +uuid = "559328eb-81f9-559d-9380-de523a88c83c" +version = "1.0.10+0" + +[[Future]] +deps = ["Random"] +uuid = "9fa8497b-333b-5362-9e8d-4d0656e87820" + +[[GPUArraysCore]] +deps = ["Adapt"] +git-tree-sha1 = "2d6ca471a6c7b536127afccfa7564b5b39227fe0" +uuid = "46192b85-c4d5-4398-a991-12ede77f4527" +version = "0.1.5" + +[[GeoInterface]] +deps = ["Extents"] +git-tree-sha1 = "bb198ff907228523f3dee1070ceee63b9359b6ab" +uuid = "cf35fbd7-0cd7-5166-be24-54bfbe79505f" +version = "1.3.1" + +[[GeometryBasics]] +deps = ["EarCut_jll", "Extents", "GeoInterface", "IterTools", "LinearAlgebra", "StaticArrays", "StructArrays", "Tables"] +git-tree-sha1 = "424a5a6ce7c5d97cca7bcc4eac551b97294c54af" +uuid = "5c1252a2-5f33-56bf-86c9-59e7332b4326" +version = "0.4.9" + +[[Gettext_jll]] +deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "XML2_jll"] +git-tree-sha1 = "9b02998aba7bf074d14de89f9d37ca24a1a0b046" +uuid = "78b55507-aeef-58d4-861c-77aaff3498b1" +version = "0.21.0+0" + +[[Glib_jll]] +deps = ["Artifacts", "Gettext_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Libiconv_jll", "Libmount_jll", "PCRE2_jll", "Zlib_jll"] +git-tree-sha1 = "e94c92c7bf4819685eb80186d51c43e71d4afa17" +uuid = "7746bdde-850d-59dc-9ae8-88ece973131d" +version = "2.76.5+0" + +[[Graphics]] +deps = ["Colors", "LinearAlgebra", "NaNMath"] +git-tree-sha1 = "d61890399bc535850c4bf08e4e0d3a7ad0f21cbd" +uuid = "a2bd30eb-e257-5431-a919-1863eab51364" +version = "1.1.2" + +[[Graphite2_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "344bf40dcab1073aca04aa0df4fb092f920e4011" +uuid = "3b182d85-2403-5c21-9c21-1e1f0cc25472" +version = "1.3.14+0" + +[[GridLayoutBase]] +deps = ["GeometryBasics", "InteractiveUtils", "Observables"] +git-tree-sha1 = "f57a64794b336d4990d90f80b147474b869b1bc4" +uuid = "3955a311-db13-416c-9275-1d80ed98e5e9" +version = "0.9.2" + +[[Grisu]] +git-tree-sha1 = "53bb909d1151e57e2484c3d1b53e19552b887fb2" +uuid = "42e2da0e-8278-4e71-bc24-59509adca0fe" +version = "1.0.2" + +[[HarfBuzz_jll]] +deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "Glib_jll", "Graphite2_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg"] +git-tree-sha1 = "129acf094d168394e80ee1dc4bc06ec835e510a3" +uuid = "2e76f6c2-a576-52d4-95c1-20adfe4de566" +version = "2.8.1+1" + +[[HypergeometricFunctions]] +deps = ["DualNumbers", "LinearAlgebra", "OpenLibm_jll", "SpecialFunctions"] +git-tree-sha1 = "f218fe3736ddf977e0e772bc9a586b2383da2685" +uuid = "34004b35-14d8-5ef3-9330-4cdb6864b03a" +version = "0.3.23" + +[[Hyperscript]] +deps = ["Test"] +git-tree-sha1 = "8d511d5b81240fc8e6802386302675bdf47737b9" +uuid = "47d2ed2b-36de-50cf-bf87-49c2cf4b8b91" +version = "0.0.4" + +[[HypertextLiteral]] +deps = ["Tricks"] +git-tree-sha1 = "c47c5fa4c5308f27ccaac35504858d8914e102f9" +uuid = "ac1192a8-f4b3-4bfe-ba22-af5b92cd3ab2" +version = "0.9.4" + +[[IOCapture]] +deps = ["Logging", "Random"] +git-tree-sha1 = "d75853a0bdbfb1ac815478bacd89cd27b550ace6" +uuid = "b5f81e59-6552-4d32-b1f0-c071b021bf89" +version = "0.2.3" + +[[ImageAxes]] +deps = ["AxisArrays", "ImageBase", "ImageCore", "Reexport", "SimpleTraits"] +git-tree-sha1 = "2e4520d67b0cef90865b3ef727594d2a58e0e1f8" +uuid = "2803e5a7-5153-5ecf-9a86-9b4c37f5f5ac" +version = "0.6.11" + +[[ImageBase]] +deps = ["ImageCore", "Reexport"] +git-tree-sha1 = "b51bb8cae22c66d0f6357e3bcb6363145ef20835" +uuid = "c817782e-172a-44cc-b673-b171935fbb9e" +version = "0.1.5" + +[[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" + +[[ImageIO]] +deps = ["FileIO", "IndirectArrays", "JpegTurbo", "LazyModules", "Netpbm", "OpenEXR", "PNGFiles", "QOI", "Sixel", "TiffImages", "UUIDs"] +git-tree-sha1 = "bca20b2f5d00c4fbc192c3212da8fa79f4688009" +uuid = "82e4d734-157c-48bb-816b-45c225c6df19" +version = "0.6.7" + +[[ImageMetadata]] +deps = ["AxisArrays", "ImageAxes", "ImageBase", "ImageCore"] +git-tree-sha1 = "355e2b974f2e3212a75dfb60519de21361ad3cb7" +uuid = "bc367c6b-8a6b-528e-b4bd-a4b897500b49" +version = "0.9.9" + +[[Imath_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "3d09a9f60edf77f8a4d99f9e015e8fbf9989605d" +uuid = "905a6f67-0a94-5f89-b386-d35d92009cd1" +version = "3.1.7+0" + +[[IndirectArrays]] +git-tree-sha1 = "012e604e1c7458645cb8b436f8fba789a51b257f" +uuid = "9b13fd28-a010-5f03-acff-a1bbcff69959" +version = "1.0.0" + +[[Inflate]] +git-tree-sha1 = "5cd07aab533df5170988219191dfad0519391428" +uuid = "d25df0c9-e2be-5dd7-82c8-3ad0b3e990b9" +version = "0.1.3" + +[[IntegerMathUtils]] +git-tree-sha1 = "b8ffb903da9f7b8cf695a8bead8e01814aa24b30" +uuid = "18e54dd8-cb9d-406c-a71d-865a43cbb235" +version = "0.1.2" + +[[IntelOpenMP_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "ad37c091f7d7daf900963171600d7c1c5c3ede32" +uuid = "1d5cc7b8-4909-519e-a0f8-d0f5ad9712d0" +version = "2023.2.0+0" + +[[InteractiveUtils]] +deps = ["Markdown"] +uuid = "b77e0a4c-d291-57a0-90e8-8db25a27a240" + +[[Interpolations]] +deps = ["Adapt", "AxisAlgorithms", "ChainRulesCore", "LinearAlgebra", "OffsetArrays", "Random", "Ratios", "Requires", "SharedArrays", "SparseArrays", "StaticArrays", "WoodburyMatrices"] +git-tree-sha1 = "721ec2cf720536ad005cb38f50dbba7b02419a15" +uuid = "a98d9a8b-a2ab-59e6-89dd-64a1c18fca59" +version = "0.14.7" + +[[IntervalArithmetic]] +deps = ["CRlibm", "FastRounding", "LinearAlgebra", "Markdown", "Random", "RecipesBase", "RoundingEmulator", "SetRounding", "StaticArrays"] +git-tree-sha1 = "5ab7744289be503d76a944784bac3f2df7b809af" +uuid = "d1acc4aa-44c8-5952-acd4-ba5d80a2a253" +version = "0.20.9" + +[[IntervalSets]] +deps = ["Dates", "Random", "Statistics"] +git-tree-sha1 = "8e59ea773deee525c99a8018409f64f19fb719e6" +uuid = "8197267c-284f-5f27-9208-e0e47529a953" +version = "0.7.7" + +[[InverseFunctions]] +deps = ["Test"] +git-tree-sha1 = "68772f49f54b479fa88ace904f6127f0a3bb2e46" +uuid = "3587e190-3f89-42d0-90ee-14403ec27112" +version = "0.1.12" + +[[IrrationalConstants]] +git-tree-sha1 = "630b497eafcc20001bba38a4651b327dcfc491d2" +uuid = "92d709cd-6900-40b7-9082-c6be49f344b6" +version = "0.2.2" + +[[Isoband]] +deps = ["isoband_jll"] +git-tree-sha1 = "f9b6d97355599074dc867318950adaa6f9946137" +uuid = "f1662d9f-8043-43de-a69a-05efc1cc6ff4" +version = "0.1.1" + +[[IterTools]] +git-tree-sha1 = "fa6287a4469f5e048d763df38279ee729fbd44e5" +uuid = "c8e1da08-722c-5040-9ed9-7db0dc04731e" +version = "1.4.0" + +[[IteratorInterfaceExtensions]] +git-tree-sha1 = "a3f24677c21f5bbe9d2a714f95dcd58337fb2856" +uuid = "82899510-4779-5014-852e-03e436cf321d" +version = "1.0.0" + +[[JLLWrappers]] +deps = ["Artifacts", "Preferences"] +git-tree-sha1 = "7e5d6779a1e09a36db2a7b6cff50942a0a7d0fca" +uuid = "692b3bcd-3c85-4b1f-b108-f13ce0eb3210" +version = "1.5.0" + +[[JSON]] +deps = ["Dates", "Mmap", "Parsers", "Unicode"] +git-tree-sha1 = "31e996f0a15c7b280ba9f76636b3ff9e2ae58c9a" +uuid = "682c06a0-de6a-54ab-a142-c8b1cf79cde6" +version = "0.21.4" + +[[JpegTurbo]] +deps = ["CEnum", "FileIO", "ImageCore", "JpegTurbo_jll", "TOML"] +git-tree-sha1 = "327713faef2a3e5c80f96bf38d1fa26f7a6ae29e" +uuid = "b835a17e-a41a-41e7-81f0-2f016b05efe0" +version = "0.1.3" + +[[JpegTurbo_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "6f2675ef130a300a112286de91973805fcc5ffbc" +uuid = "aacddb02-875f-59d6-b918-886e6ef4fbf8" +version = "2.1.91+0" + +[[KernelDensity]] +deps = ["Distributions", "DocStringExtensions", "FFTW", "Interpolations", "StatsBase"] +git-tree-sha1 = "90442c50e202a5cdf21a7899c66b240fdef14035" +uuid = "5ab0869b-81aa-558d-bb23-cbf5423bbe9b" +version = "0.6.7" + +[[LAME_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "f6250b16881adf048549549fba48b1161acdac8c" +uuid = "c1c5ebd0-6772-5130-a774-d5fcae4a789d" +version = "3.100.1+0" + +[[LLVMOpenMP_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "f689897ccbe049adb19a065c495e75f372ecd42b" +uuid = "1d63c593-3942-5779-bab2-d838dc0a180e" +version = "15.0.4+0" + +[[LZO_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "e5b909bcf985c5e2605737d2ce278ed791b89be6" +uuid = "dd4b983a-f0e5-5f8d-a1b7-129d4a5fb1ac" +version = "2.10.1+0" + +[[LaTeXStrings]] +git-tree-sha1 = "f2355693d6778a178ade15952b7ac47a4ff97996" +uuid = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f" +version = "1.3.0" + +[[LazyArtifacts]] +deps = ["Artifacts", "Pkg"] +uuid = "4af54fe1-eca0-43a8-85a7-787d91b784e3" + +[[LazyModules]] +git-tree-sha1 = "a560dd966b386ac9ae60bdd3a3d3a326062d3c3e" +uuid = "8cdb02fc-e678-4876-92c5-9defec4f444e" +version = "0.3.1" + +[[LibCURL]] +deps = ["LibCURL_jll", "MozillaCACerts_jll"] +uuid = "b27032c2-a3e7-50c8-80cd-2d36dbcbfd21" + +[[LibCURL_jll]] +deps = ["Artifacts", "LibSSH2_jll", "Libdl", "MbedTLS_jll", "Zlib_jll", "nghttp2_jll"] +uuid = "deac9b47-8bc7-5906-a0fe-35ac56dc84c0" + +[[LibGit2]] +deps = ["Base64", "NetworkOptions", "Printf", "SHA"] +uuid = "76f85450-5226-5b5a-8eaa-529ad045b433" + +[[LibSSH2_jll]] +deps = ["Artifacts", "Libdl", "MbedTLS_jll"] +uuid = "29816b5a-b9ab-546f-933c-edad1886dfa8" + +[[Libdl]] +uuid = "8f399da3-3557-5675-b5ff-fb832c97cbdb" + +[[Libffi_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "0b4a5d71f3e5200a7dff793393e09dfc2d874290" +uuid = "e9f186c6-92d2-5b65-8a66-fee21dc1b490" +version = "3.2.2+1" + +[[Libgcrypt_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgpg_error_jll", "Pkg"] +git-tree-sha1 = "64613c82a59c120435c067c2b809fc61cf5166ae" +uuid = "d4300ac3-e22c-5743-9152-c294e39db1e4" +version = "1.8.7+0" + +[[Libgpg_error_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "c333716e46366857753e273ce6a69ee0945a6db9" +uuid = "7add5ba3-2f88-524e-9cd5-f83b8a55f7b8" +version = "1.42.0+0" + +[[Libiconv_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "f9557a255370125b405568f9767d6d195822a175" +uuid = "94ce4f54-9a6c-5748-9c1c-f9c7231a4531" +version = "1.17.0+0" + +[[Libmount_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "9c30530bf0effd46e15e0fdcf2b8636e78cbbd73" +uuid = "4b2f31a3-9ecc-558c-b454-b3730dcb73e9" +version = "2.35.0+0" + +[[Libuuid_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "7f3efec06033682db852f8b3bc3c1d2b0a0ab066" +uuid = "38a345b3-de98-5d2b-a5d3-14cd9215e700" +version = "2.36.0+0" + +[[LightXML]] +deps = ["Libdl", "XML2_jll"] +git-tree-sha1 = "e129d9391168c677cd4800f5c0abb1ed8cb3794f" +uuid = "9c8b4983-aa76-5018-a973-4c85ecc9e179" +version = "0.9.0" + +[[LineSearches]] +deps = ["LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "Printf"] +git-tree-sha1 = "7bbea35cec17305fc70a0e5b4641477dc0789d9d" +uuid = "d3d80556-e9d4-5f37-9878-2ab0fcc64255" +version = "7.2.0" + +[[LinearAlgebra]] +deps = ["Libdl"] +uuid = "37e2e46d-f89d-539d-b4ee-838fcccc9c8e" + +[[LinearAlgebraX]] +deps = ["LinearAlgebra", "Mods", "Permutations", "Primes", "SimplePolynomials"] +git-tree-sha1 = "558a338f1eeabe933f9c2d4052aa7c2c707c3d52" +uuid = "9b3f67b0-2d00-526e-9884-9e4938f8fb88" +version = "0.1.12" + +[[LogExpFunctions]] +deps = ["ChainRulesCore", "ChangesOfVariables", "DocStringExtensions", "InverseFunctions", "IrrationalConstants", "LinearAlgebra"] +git-tree-sha1 = "7d6dd4e9212aebaeed356de34ccf262a3cd415aa" +uuid = "2ab3a3ac-af41-5b50-aa03-7779005ae688" +version = "0.3.26" + +[[Logging]] +uuid = "56ddb016-857b-54e1-b83d-db4d58db5568" + +[[MIMEs]] +git-tree-sha1 = "65f28ad4b594aebe22157d6fac869786a255b7eb" +uuid = "6c6e2e6c-3030-632d-7369-2d6c69616d65" +version = "0.1.4" + +[[MKL_jll]] +deps = ["Artifacts", "IntelOpenMP_jll", "JLLWrappers", "LazyArtifacts", "Libdl", "Pkg"] +git-tree-sha1 = "eb006abbd7041c28e0d16260e50a24f8f9104913" +uuid = "856f044c-d86e-5d09-b602-aeab76dc8ba7" +version = "2023.2.0+0" + +[[MacroTools]] +deps = ["Markdown", "Random"] +git-tree-sha1 = "9ee1618cbf5240e6d4e0371d6f24065083f60c48" +uuid = "1914dd2f-81c6-5fcd-8719-6d5c9610ff09" +version = "0.5.11" + +[[Makie]] +deps = ["Animations", "Base64", "CRC32c", "ColorBrewer", "ColorSchemes", "ColorTypes", "Colors", "Contour", "DelaunayTriangulation", "Distributions", "DocStringExtensions", "Downloads", "FFMPEG_jll", "FileIO", "FixedPointNumbers", "Formatting", "FreeType", "FreeTypeAbstraction", "GeometryBasics", "GridLayoutBase", "ImageIO", "InteractiveUtils", "IntervalSets", "Isoband", "KernelDensity", "LaTeXStrings", "LinearAlgebra", "MacroTools", "MakieCore", "Markdown", "Match", "MathTeXEngine", "Observables", "OffsetArrays", "Packing", "PlotUtils", "PolygonOps", "PrecompileTools", "Printf", "REPL", "Random", "RelocatableFolders", "Setfield", "ShaderAbstractions", "Showoff", "SignedDistanceFields", "SparseArrays", "StableHashTraits", "Statistics", "StatsBase", "StatsFuns", "StructArrays", "TriplotBase", "UnicodeFun"] +git-tree-sha1 = "ecc334efc4a8a68800776b0d85ab7bb2fff63f7a" +uuid = "ee78f7c6-11fb-53f2-987a-cfe4a2b5a57a" +version = "0.19.9" + +[[MakieCore]] +deps = ["Observables"] +git-tree-sha1 = "1efb1166dd9398f2ccf6d728f896658c9c84733e" +uuid = "20f20a25-4f0e-4fdf-b5d1-57303727442b" +version = "0.6.6" + +[[MakieThemes]] +deps = ["Colors", "Makie", "Random"] +git-tree-sha1 = "22f0ac33ecb2827e21919c086a74a6a9dc7932a1" +uuid = "e296ed71-da82-5faf-88ab-0034a9761098" +version = "0.1.0" + +[[MappedArrays]] +git-tree-sha1 = "2dab0221fe2b0f2cb6754eaa743cc266339f527e" +uuid = "dbb5928d-eab1-5f90-85c2-b9b0edb7c900" +version = "0.4.2" + +[[Markdown]] +deps = ["Base64"] +uuid = "d6f4376e-aef5-505a-96c1-9c027394607a" + +[[Match]] +git-tree-sha1 = "1d9bc5c1a6e7ee24effb93f175c9342f9154d97f" +uuid = "7eb4fadd-790c-5f42-8a69-bfa0b872bfbf" +version = "1.2.0" + +[[MathTeXEngine]] +deps = ["AbstractTrees", "Automa", "DataStructures", "FreeTypeAbstraction", "GeometryBasics", "LaTeXStrings", "REPL", "RelocatableFolders", "Test", "UnicodeFun"] +git-tree-sha1 = "8f52dbaa1351ce4cb847d95568cb29e62a307d93" +uuid = "0a4f8689-d25c-4efe-a92b-7142dfc1aa53" +version = "0.5.6" + +[[MbedTLS_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "c8ffd9c3-330d-5841-b78e-0817d7145fa1" + +[[MetaArrays]] +deps = ["Requires"] +git-tree-sha1 = "6647f7d45a9153162d6561957405c12088caf537" +uuid = "36b8f3f0-b776-11e8-061f-1f20094e1fc8" +version = "0.2.10" + +[[Missings]] +deps = ["DataAPI"] +git-tree-sha1 = "f66bdc5de519e8f8ae43bdc598782d35a25b1272" +uuid = "e1d29d7a-bbdc-5cf2-9ac0-f12de2c33e28" +version = "1.1.0" + +[[Mmap]] +uuid = "a63ad114-7e13-5084-954f-fe012c677804" + +[[Mods]] +git-tree-sha1 = "61be59e4daffff43a8cec04b5e0dc773cbb5db3a" +uuid = "7475f97c-0381-53b1-977b-4c60186c8d62" +version = "1.3.3" + +[[MosaicViews]] +deps = ["MappedArrays", "OffsetArrays", "PaddedViews", "StackViews"] +git-tree-sha1 = "7b86a5d4d70a9f5cdf2dacb3cbe6d251d1a61dbe" +uuid = "e94cdb99-869f-56ef-bcf0-1ae2bcbe0389" +version = "0.3.4" + +[[MozillaCACerts_jll]] +uuid = "14a3606d-f60d-562e-9121-12d972cd8159" + +[[Multisets]] +git-tree-sha1 = "8d852646862c96e226367ad10c8af56099b4047e" +uuid = "3b2b4ff1-bcff-5658-a3ee-dbcf1ce5ac09" +version = "0.4.4" + +[[NLSolversBase]] +deps = ["DiffResults", "Distributed", "FiniteDiff", "ForwardDiff"] +git-tree-sha1 = "a0b464d183da839699f4c79e7606d9d186ec172c" +uuid = "d41bc354-129a-5804-8e4c-c37616107c6c" +version = "7.8.3" + +[[NaNMath]] +deps = ["OpenLibm_jll"] +git-tree-sha1 = "0877504529a3e5c3343c6f8b4c0381e57e4387e4" +uuid = "77ba4419-2d1f-58cd-9bb1-8ffee604a2e3" +version = "1.0.2" + +[[Netpbm]] +deps = ["FileIO", "ImageCore", "ImageMetadata"] +git-tree-sha1 = "d92b107dbb887293622df7697a2223f9f8176fcd" +uuid = "f09324ee-3d7c-5217-9330-fc30815ba969" +version = "1.1.1" + +[[NetworkOptions]] +uuid = "ca575930-c2e3-43a9-ace4-1e988b2c1908" + +[[Observables]] +git-tree-sha1 = "6862738f9796b3edc1c09d0890afce4eca9e7e93" +uuid = "510215fc-4207-5dde-b226-833fc4488ee2" +version = "0.5.4" + +[[OffsetArrays]] +deps = ["Adapt"] +git-tree-sha1 = "2ac17d29c523ce1cd38e27785a7d23024853a4bb" +uuid = "6fe1bfb0-de20-5000-8ca7-80f57d26f881" +version = "1.12.10" + +[[Ogg_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "887579a3eb005446d514ab7aeac5d1d027658b8f" +uuid = "e7412a2a-1a6e-54c0-be00-318e2571c051" +version = "1.3.5+1" + +[[OpenEXR]] +deps = ["Colors", "FileIO", "OpenEXR_jll"] +git-tree-sha1 = "327f53360fdb54df7ecd01e96ef1983536d1e633" +uuid = "52e1d378-f018-4a11-a4be-720524705ac7" +version = "0.3.2" + +[[OpenEXR_jll]] +deps = ["Artifacts", "Imath_jll", "JLLWrappers", "Libdl", "Zlib_jll"] +git-tree-sha1 = "a4ca623df1ae99d09bc9868b008262d0c0ac1e4f" +uuid = "18a262bb-aa17-5467-a713-aee519bc75cb" +version = "3.1.4+0" + +[[OpenLibm_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "05823500-19ac-5b8b-9628-191a04bc5112" + +[[OpenSSL_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "e78db7bd5c26fc5a6911b50a47ee302219157ea8" +uuid = "458c3c95-2e84-50aa-8efc-19380b2a3a95" +version = "3.0.10+0" + +[[OpenSpecFun_jll]] +deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "13652491f6856acfd2db29360e1bbcd4565d04f1" +uuid = "efe28fd5-8261-553b-a9e1-b2916fc3738e" +version = "0.5.5+0" + +[[Optim]] +deps = ["Compat", "FillArrays", "ForwardDiff", "LineSearches", "LinearAlgebra", "NLSolversBase", "NaNMath", "Parameters", "PositiveFactorizations", "Printf", "SparseArrays", "StatsBase"] +git-tree-sha1 = "963b004d15216f8129f6c0f7d187efa136570be0" +uuid = "429524aa-4258-5aef-a3af-852621145aeb" +version = "1.7.7" + +[[Opus_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "51a08fb14ec28da2ec7a927c4337e4332c2a4720" +uuid = "91d4177d-7536-5919-b921-800302f37372" +version = "1.3.2+0" + +[[OrderedCollections]] +git-tree-sha1 = "2e73fe17cac3c62ad1aebe70d44c963c3cfdc3e3" +uuid = "bac558e1-5e72-5ebc-8fee-abe8a469f55d" +version = "1.6.2" + +[[PCRE2_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "efcefdf7-47ab-520b-bdef-62a2eaa19f15" + +[[PDMats]] +deps = ["LinearAlgebra", "SparseArrays", "SuiteSparse"] +git-tree-sha1 = "67eae2738d63117a196f497d7db789821bce61d1" +uuid = "90014a1f-27ba-587c-ab20-58faa44d9150" +version = "0.11.17" + +[[PNGFiles]] +deps = ["Base64", "CEnum", "ImageCore", "IndirectArrays", "OffsetArrays", "libpng_jll"] +git-tree-sha1 = "f809158b27eba0c18c269cf2a2be6ed751d3e81d" +uuid = "f57f5aa1-a3ce-4bc8-8ab9-96f992907883" +version = "0.3.17" + +[[Packing]] +deps = ["GeometryBasics"] +git-tree-sha1 = "ec3edfe723df33528e085e632414499f26650501" +uuid = "19eb6ba3-879d-56ad-ad62-d5c202156566" +version = "0.5.0" + +[[PaddedViews]] +deps = ["OffsetArrays"] +git-tree-sha1 = "0fac6313486baae819364c52b4f483450a9d793f" +uuid = "5432bcbf-9aad-5242-b902-cca2824c8663" +version = "0.5.12" + +[[Pango_jll]] +deps = ["Artifacts", "Cairo_jll", "Fontconfig_jll", "FreeType2_jll", "FriBidi_jll", "Glib_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl"] +git-tree-sha1 = "4745216e94f71cb768d58330b059c9b76f32cb66" +uuid = "36c8627f-9965-5494-a995-c6b170f724f3" +version = "1.50.14+0" + +[[Parameters]] +deps = ["OrderedCollections", "UnPack"] +git-tree-sha1 = "34c0e9ad262e5f7fc75b10a9952ca7692cfc5fbe" +uuid = "d96e819e-fc66-5662-9728-84c9c7592b0a" +version = "0.12.3" + +[[Parsers]] +deps = ["Dates", "PrecompileTools", "UUIDs"] +git-tree-sha1 = "716e24b21538abc91f6205fd1d8363f39b442851" +uuid = "69de0a69-1ddd-5017-9359-2bf0b02dc9f0" +version = "2.7.2" + +[[Permutations]] +deps = ["Combinatorics", "LinearAlgebra", "Random"] +git-tree-sha1 = "25e2bb0973689836bf164ecb960762f1bb8794dd" +uuid = "2ae35dd2-176d-5d53-8349-f30d82d94d4f" +version = "0.4.17" + +[[Pixman_jll]] +deps = ["Artifacts", "CompilerSupportLibraries_jll", "JLLWrappers", "LLVMOpenMP_jll", "Libdl"] +git-tree-sha1 = "64779bc4c9784fee475689a1752ef4d5747c5e87" +uuid = "30392449-352a-5448-841d-b1acce4e97dc" +version = "0.42.2+0" + +[[Pkg]] +deps = ["Artifacts", "Dates", "Downloads", "LibGit2", "Libdl", "Logging", "Markdown", "Printf", "REPL", "Random", "SHA", "Serialization", "TOML", "Tar", "UUIDs", "p7zip_jll"] +uuid = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f" + +[[PkgVersion]] +deps = ["Pkg"] +git-tree-sha1 = "f9501cc0430a26bc3d156ae1b5b0c1b47af4d6da" +uuid = "eebad327-c553-4316-9ea0-9fa01ccd7688" +version = "0.3.3" + +[[PlotUtils]] +deps = ["ColorSchemes", "Colors", "Dates", "PrecompileTools", "Printf", "Random", "Reexport", "Statistics"] +git-tree-sha1 = "f92e1315dadf8c46561fb9396e525f7200cdc227" +uuid = "995b91a9-d308-5afd-9ec6-746e21dbc043" +version = "1.3.5" + +[[PlutoUI]] +deps = ["AbstractPlutoDingetjes", "Base64", "ColorTypes", "Dates", "FixedPointNumbers", "Hyperscript", "HypertextLiteral", "IOCapture", "InteractiveUtils", "JSON", "Logging", "MIMEs", "Markdown", "Random", "Reexport", "URIs", "UUIDs"] +git-tree-sha1 = "e47cd150dbe0443c3a3651bc5b9cbd5576ab75b7" +uuid = "7f904dfe-b85e-4ff6-b463-dae2292396a8" +version = "0.7.52" + +[[PolygonOps]] +git-tree-sha1 = "77b3d3605fc1cd0b42d95eba87dfcd2bf67d5ff6" +uuid = "647866c9-e3ac-4575-94e7-e3d426903924" +version = "0.1.2" + +[[Polynomials]] +deps = ["LinearAlgebra", "MakieCore", "RecipesBase", "Setfield", "SparseArrays"] +git-tree-sha1 = "ea78a2764f31715093de7ab495e12c0187f231d1" +uuid = "f27b6e38-b328-58d1-80ce-0feddd5e7a45" +version = "4.0.4" + +[[PositiveFactorizations]] +deps = ["LinearAlgebra"] +git-tree-sha1 = "17275485f373e6673f7e7f97051f703ed5b15b20" +uuid = "85a6dd25-e78a-55b7-8502-1745935b8125" +version = "0.2.4" + +[[PrecompileTools]] +deps = ["Preferences"] +git-tree-sha1 = "03b4c25b43cb84cee5c90aa9b5ea0a78fd848d2f" +uuid = "aea7be01-6a6a-4083-8856-8a6e6704d82a" +version = "1.2.0" + +[[Preferences]] +deps = ["TOML"] +git-tree-sha1 = "7eb1686b4f04b82f96ed7a4ea5890a4f0c7a09f1" +uuid = "21216c6a-2e73-6563-6e65-726566657250" +version = "1.4.0" + +[[Primes]] +deps = ["IntegerMathUtils"] +git-tree-sha1 = "4c9f306e5d6603ae203c2000dd460d81a5251489" +uuid = "27ebfcd6-29c5-5fa9-bf4b-fb8fc14df3ae" +version = "0.5.4" + +[[Printf]] +deps = ["Unicode"] +uuid = "de0858da-6303-5e67-8744-51eddeeeb8d7" + +[[ProgressMeter]] +deps = ["Distributed", "Printf"] +git-tree-sha1 = "00099623ffee15972c16111bcf84c58a0051257c" +uuid = "92933f4c-e287-5a05-a399-4b506db050ca" +version = "1.9.0" + +[[QOI]] +deps = ["ColorTypes", "FileIO", "FixedPointNumbers"] +git-tree-sha1 = "18e8f4d1426e965c7b532ddd260599e1510d26ce" +uuid = "4b34888f-f399-49d4-9bb3-47ed5cae4e65" +version = "1.0.0" + +[[QuadGK]] +deps = ["DataStructures", "LinearAlgebra"] +git-tree-sha1 = "6ec7ac8412e83d57e313393220879ede1740f9ee" +uuid = "1fd47b50-473d-5c70-9696-f719f8f3bcdc" +version = "2.8.2" + +[[REPL]] +deps = ["InteractiveUtils", "Markdown", "Sockets", "Unicode"] +uuid = "3fa0cd96-eef1-5676-8a61-b3b8758bbffb" + +[[Random]] +deps = ["Serialization"] +uuid = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" + +[[RangeArrays]] +git-tree-sha1 = "b9039e93773ddcfc828f12aadf7115b4b4d225f5" +uuid = "b3c3ace0-ae52-54e7-9d0b-2c1406fd6b9d" +version = "0.3.2" + +[[Ratios]] +deps = ["Requires"] +git-tree-sha1 = "1342a47bf3260ee108163042310d26f2be5ec90b" +uuid = "c84ed2f1-dad5-54f0-aa8e-dbefe2724439" +version = "0.4.5" + +[[RecipesBase]] +deps = ["PrecompileTools"] +git-tree-sha1 = "5c3d09cc4f31f5fc6af001c250bf1278733100ff" +uuid = "3cdcf5f2-1ef4-517c-9805-6587b60abb01" +version = "1.3.4" + +[[Reexport]] +git-tree-sha1 = "45e428421666073eab6f2da5c9d310d99bb12f9b" +uuid = "189a3867-3050-52da-a836-e630ba90ab69" +version = "1.2.2" + +[[RelocatableFolders]] +deps = ["SHA", "Scratch"] +git-tree-sha1 = "90bc7a7c96410424509e4263e277e43250c05691" +uuid = "05181044-ff0b-4ac5-8273-598c1e38db00" +version = "1.0.0" + +[[Requires]] +deps = ["UUIDs"] +git-tree-sha1 = "838a3a4188e2ded87a4f9f184b4b0d78a1e91cb7" +uuid = "ae029012-a4dd-5104-9daa-d747884805df" +version = "1.3.0" + +[[RingLists]] +deps = ["Random"] +git-tree-sha1 = "f39da63aa6d2d88e0c1bd20ed6a3ff9ea7171ada" +uuid = "286e9d63-9694-5540-9e3c-4e6708fa07b2" +version = "0.2.8" + +[[Rmath]] +deps = ["Random", "Rmath_jll"] +git-tree-sha1 = "f65dcb5fa46aee0cf9ed6274ccbd597adc49aa7b" +uuid = "79098fc4-a85e-5d69-aa6a-4863f24498fa" +version = "0.7.1" + +[[Rmath_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "6ed52fdd3382cf21947b15e8870ac0ddbff736da" +uuid = "f50d1b31-88e8-58de-be2c-1cc44531875f" +version = "0.4.0+0" + +[[RoundingEmulator]] +git-tree-sha1 = "40b9edad2e5287e05bd413a38f61a8ff55b9557b" +uuid = "5eaf0fd0-dfba-4ccb-bf02-d820a40db705" +version = "0.2.1" + +[[SHA]] +uuid = "ea8e919c-243c-51af-8825-aaa63cd721ce" + +[[Scratch]] +deps = ["Dates"] +git-tree-sha1 = "30449ee12237627992a99d5e30ae63e4d78cd24a" +uuid = "6c6a2e73-6563-6170-7368-637461726353" +version = "1.2.0" + +[[Serialization]] +uuid = "9e88b42a-f829-5b0c-bbe9-9e923198166b" + +[[SetRounding]] +git-tree-sha1 = "d7a25e439d07a17b7cdf97eecee504c50fedf5f6" +uuid = "3cc68bcd-71a2-5612-b932-767ffbe40ab0" +version = "0.2.1" + +[[Setfield]] +deps = ["ConstructionBase", "Future", "MacroTools", "StaticArraysCore"] +git-tree-sha1 = "e2cc6d8c88613c05e1defb55170bf5ff211fbeac" +uuid = "efcf1570-3423-57d1-acb7-fd33fddbac46" +version = "1.1.1" + +[[ShaderAbstractions]] +deps = ["ColorTypes", "FixedPointNumbers", "GeometryBasics", "LinearAlgebra", "Observables", "StaticArrays", "StructArrays", "Tables"] +git-tree-sha1 = "0d15c3e7b2003f4451714f08ffec2b77badc2dc4" +uuid = "65257c39-d410-5151-9873-9b3e5be5013e" +version = "0.3.0" + +[[SharedArrays]] +deps = ["Distributed", "Mmap", "Random", "Serialization"] +uuid = "1a1011a3-84de-559e-8e89-a11a2f7dc383" + +[[Showoff]] +deps = ["Dates", "Grisu"] +git-tree-sha1 = "91eddf657aca81df9ae6ceb20b959ae5653ad1de" +uuid = "992d4aef-0814-514b-bc4d-f2e9a6c4116f" +version = "1.0.3" + +[[SignalAnalysis]] +deps = ["DSP", "Distributions", "DocStringExtensions", "FFTW", "LinearAlgebra", "MetaArrays", "PaddedViews", "Random", "Requires", "SignalBase", "Statistics", "WAV"] +git-tree-sha1 = "04392c481018ff6a213f11b241c29cf482c47acb" +uuid = "df1fea92-c066-49dd-8b36-eace3378ea47" +version = "0.5.1" + +[[SignalBase]] +deps = ["Unitful"] +git-tree-sha1 = "14cb05cba5cc89d15e6098e7bb41dcef2606a10a" +uuid = "00c44e92-20f5-44bc-8f45-a1dcef76ba38" +version = "0.1.2" + +[[SignedDistanceFields]] +deps = ["Random", "Statistics", "Test"] +git-tree-sha1 = "d263a08ec505853a5ff1c1ebde2070419e3f28e9" +uuid = "73760f76-fbc4-59ce-8f25-708e95d2df96" +version = "0.4.0" + +[[SimpleGraphs]] +deps = ["AbstractLattices", "Combinatorics", "DataStructures", "IterTools", "LightXML", "LinearAlgebra", "LinearAlgebraX", "Optim", "Primes", "Random", "RingLists", "SimplePartitions", "SimplePolynomials", "SimpleRandom", "SparseArrays", "Statistics"] +git-tree-sha1 = "b608903049d11cc557c45e03b3a53e9260579c19" +uuid = "55797a34-41de-5266-9ec1-32ac4eb504d3" +version = "0.8.4" + +[[SimplePartitions]] +deps = ["AbstractLattices", "DataStructures", "Permutations"] +git-tree-sha1 = "dcc02923a53f316ab97da8ef3136e80b4543dbf1" +uuid = "ec83eff0-a5b5-5643-ae32-5cbf6eedec9d" +version = "0.3.0" + +[[SimplePolynomials]] +deps = ["Mods", "Multisets", "Polynomials", "Primes"] +git-tree-sha1 = "d537c31cf9995236166e3e9afc424a5a1c59ff9d" +uuid = "cc47b68c-3164-5771-a705-2bc0097375a0" +version = "0.2.14" + +[[SimpleRandom]] +deps = ["Distributions", "LinearAlgebra", "Random"] +git-tree-sha1 = "3a6fb395e37afab81aeea85bae48a4db5cd7244a" +uuid = "a6525b86-64cd-54fa-8f65-62fc48bdc0e8" +version = "0.3.1" + +[[SimpleTraits]] +deps = ["InteractiveUtils", "MacroTools"] +git-tree-sha1 = "5d7e3f4e11935503d3ecaf7186eac40602e7d231" +uuid = "699a6c99-e7fa-54fc-8d76-47d257e15c1d" +version = "0.9.4" + +[[Sixel]] +deps = ["Dates", "FileIO", "ImageCore", "IndirectArrays", "OffsetArrays", "REPL", "libsixel_jll"] +git-tree-sha1 = "2da10356e31327c7096832eb9cd86307a50b1eb6" +uuid = "45858cf5-a6b0-47a3-bbea-62219f50df47" +version = "0.1.3" + +[[Sockets]] +uuid = "6462fe0b-24de-5631-8697-dd941f90decc" + +[[SortingAlgorithms]] +deps = ["DataStructures"] +git-tree-sha1 = "c60ec5c62180f27efea3ba2908480f8055e17cee" +uuid = "a2af1166-a08f-5f64-846c-94a0d3cef48c" +version = "1.1.1" + +[[SparseArrays]] +deps = ["LinearAlgebra", "Random"] +uuid = "2f01184e-e22b-5df5-ae63-d93ebab69eaf" + +[[SpecialFunctions]] +deps = ["ChainRulesCore", "IrrationalConstants", "LogExpFunctions", "OpenLibm_jll", "OpenSpecFun_jll"] +git-tree-sha1 = "e2cfc4012a19088254b3950b85c3c1d8882d864d" +uuid = "276daf66-3868-5448-9aa4-cd146d93841b" +version = "2.3.1" + +[[StableHashTraits]] +deps = ["Compat", "SHA", "Tables", "TupleTools"] +git-tree-sha1 = "19df33ca14f24a3ad2df9e89124bd5f5cc8467a2" +uuid = "c5dd0088-6c3f-4803-b00e-f31a60c170fa" +version = "1.0.1" + +[[StackViews]] +deps = ["OffsetArrays"] +git-tree-sha1 = "46e589465204cd0c08b4bd97385e4fa79a0c770c" +uuid = "cae243ae-269e-4f55-b966-ac2d0dc13c15" +version = "0.1.1" + +[[StaticArrays]] +deps = ["LinearAlgebra", "Random", "StaticArraysCore", "Statistics"] +git-tree-sha1 = "51621cca8651d9e334a659443a74ce50a3b6dfab" +uuid = "90137ffa-7385-5640-81b9-e52037218182" +version = "1.6.3" + +[[StaticArraysCore]] +git-tree-sha1 = "36b3d696ce6366023a0ea192b4cd442268995a0d" +uuid = "1e83bf80-4336-4d27-bf5d-d5a4f845583c" +version = "1.4.2" + +[[Statistics]] +deps = ["LinearAlgebra", "SparseArrays"] +uuid = "10745b16-79ce-11e8-11f9-7d13ad32a3b2" + +[[StatsAPI]] +deps = ["LinearAlgebra"] +git-tree-sha1 = "1ff449ad350c9c4cbc756624d6f8a8c3ef56d3ed" +uuid = "82ae8749-77ed-4fe6-ae5f-f523153014b0" +version = "1.7.0" + +[[StatsBase]] +deps = ["DataAPI", "DataStructures", "LinearAlgebra", "LogExpFunctions", "Missings", "Printf", "Random", "SortingAlgorithms", "SparseArrays", "Statistics", "StatsAPI"] +git-tree-sha1 = "75ebe04c5bed70b91614d684259b661c9e6274a4" +uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91" +version = "0.34.0" + +[[StatsFuns]] +deps = ["ChainRulesCore", "HypergeometricFunctions", "InverseFunctions", "IrrationalConstants", "LogExpFunctions", "Reexport", "Rmath", "SpecialFunctions"] +git-tree-sha1 = "f625d686d5a88bcd2b15cd81f18f98186fdc0c9a" +uuid = "4c63d2b9-4356-54db-8cca-17b64c39e42c" +version = "1.3.0" + +[[StructArrays]] +deps = ["Adapt", "ConstructionBase", "DataAPI", "GPUArraysCore", "StaticArraysCore", "Tables"] +git-tree-sha1 = "0a3db38e4cce3c54fe7a71f831cd7b6194a54213" +uuid = "09ab397b-f2b6-538f-b94a-2f83cf4a842a" +version = "0.6.16" + +[[SuiteSparse]] +deps = ["Libdl", "LinearAlgebra", "Serialization", "SparseArrays"] +uuid = "4607b0f0-06f3-5cda-b6b1-a6196a1729e9" + +[[TOML]] +deps = ["Dates"] +uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76" + +[[TableTraits]] +deps = ["IteratorInterfaceExtensions"] +git-tree-sha1 = "c06b2f539df1c6efa794486abfb6ed2022561a39" +uuid = "3783bdb8-4a98-5b6b-af9a-565f29a5fe9c" +version = "1.0.1" + +[[Tables]] +deps = ["DataAPI", "DataValueInterfaces", "IteratorInterfaceExtensions", "LinearAlgebra", "OrderedCollections", "TableTraits"] +git-tree-sha1 = "a1f34829d5ac0ef499f6d84428bd6b4c71f02ead" +uuid = "bd369af6-aec1-5ad0-b16a-f7cc5008161c" +version = "1.11.0" + +[[Tar]] +deps = ["ArgTools", "SHA"] +uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e" + +[[TensorCore]] +deps = ["LinearAlgebra"] +git-tree-sha1 = "1feb45f88d133a655e001435632f019a9a1bcdb6" +uuid = "62fd8b95-f654-4bbd-a8a5-9c27f68ccd50" +version = "0.1.1" + +[[Test]] +deps = ["InteractiveUtils", "Logging", "Random", "Serialization"] +uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40" + +[[TiffImages]] +deps = ["ColorTypes", "DataStructures", "DocStringExtensions", "FileIO", "FixedPointNumbers", "IndirectArrays", "Inflate", "Mmap", "OffsetArrays", "PkgVersion", "ProgressMeter", "UUIDs"] +git-tree-sha1 = "3c4535892eff963d14acee719df445287c2d8f98" +uuid = "731e570b-9d59-4bfa-96dc-6df516fadf69" +version = "0.6.5" + +[[TranscodingStreams]] +deps = ["Random", "Test"] +git-tree-sha1 = "9a6ae7ed916312b41236fcef7e0af564ef934769" +uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa" +version = "0.9.13" + +[[Tricks]] +git-tree-sha1 = "aadb748be58b492045b4f56166b5188aa63ce549" +uuid = "410a4b4d-49e4-4fbc-ab6d-cb71b17b3775" +version = "0.1.7" + +[[TriplotBase]] +git-tree-sha1 = "4d4ed7f294cda19382ff7de4c137d24d16adc89b" +uuid = "981d1d27-644d-49a2-9326-4793e63143c3" +version = "0.1.0" + +[[TupleTools]] +git-tree-sha1 = "155515ed4c4236db30049ac1495e2969cc06be9d" +uuid = "9d95972d-f1c8-5527-a6e0-b4b365fa01f6" +version = "1.4.3" + +[[URIs]] +git-tree-sha1 = "b7a5e99f24892b6824a954199a45e9ffcc1c70f0" +uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4" +version = "1.5.0" + +[[UUIDs]] +deps = ["Random", "SHA"] +uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4" + +[[UnPack]] +git-tree-sha1 = "387c1f73762231e86e0c9c5443ce3b4a0a9a0c2b" +uuid = "3a884ed6-31ef-47d7-9d2a-63182c4928ed" +version = "1.0.2" + +[[Unicode]] +uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5" + +[[UnicodeFun]] +deps = ["REPL"] +git-tree-sha1 = "53915e50200959667e78a92a418594b428dffddf" +uuid = "1cfade01-22cf-5700-b092-accc4b62d6e1" +version = "0.4.1" + +[[Unitful]] +deps = ["ConstructionBase", "Dates", "InverseFunctions", "LinearAlgebra", "Random"] +git-tree-sha1 = "a72d22c7e13fe2de562feda8645aa134712a87ee" +uuid = "1986cc42-f94f-5a68-af5c-568840ba703d" +version = "1.17.0" + +[[WAV]] +deps = ["Base64", "FileIO", "Libdl", "Logging"] +git-tree-sha1 = "7e7e1b4686995aaf4ecaaf52f6cd824fa6bd6aa5" +uuid = "8149f6b0-98f6-5db9-b78f-408fbbb8ef88" +version = "1.2.0" + +[[WoodburyMatrices]] +deps = ["LinearAlgebra", "SparseArrays"] +git-tree-sha1 = "de67fa59e33ad156a590055375a30b23c40299d3" +uuid = "efce3f68-66dc-5838-9240-27a6d6f5f9b6" +version = "0.5.5" + +[[XML2_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Zlib_jll"] +git-tree-sha1 = "04a51d15436a572301b5abbb9d099713327e9fc4" +uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a" +version = "2.10.4+0" + +[[XSLT_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Libgcrypt_jll", "Libgpg_error_jll", "Libiconv_jll", "Pkg", "XML2_jll", "Zlib_jll"] +git-tree-sha1 = "91844873c4085240b95e795f692c4cec4d805f8a" +uuid = "aed1982a-8fda-507f-9586-7b0439959a61" +version = "1.1.34+0" + +[[Xorg_libX11_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxcb_jll", "Xorg_xtrans_jll"] +git-tree-sha1 = "afead5aba5aa507ad5a3bf01f58f82c8d1403495" +uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc" +version = "1.8.6+0" + +[[Xorg_libXau_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "6035850dcc70518ca32f012e46015b9beeda49d8" +uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec" +version = "1.0.11+0" + +[[Xorg_libXdmcp_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "34d526d318358a859d7de23da945578e8e8727b7" +uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05" +version = "1.1.4+0" + +[[Xorg_libXext_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] +git-tree-sha1 = "b7c0aa8c376b31e4852b360222848637f481f8c3" +uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3" +version = "1.3.4+4" + +[[Xorg_libXrender_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] +git-tree-sha1 = "19560f30fd49f4d4efbe7002a1037f8c43d43b96" +uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa" +version = "0.9.10+4" + +[[Xorg_libpthread_stubs_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "8fdda4c692503d44d04a0603d9ac0982054635f9" +uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74" +version = "0.1.1+0" + +[[Xorg_libxcb_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"] +git-tree-sha1 = "b4bfde5d5b652e22b9c790ad00af08b6d042b97d" +uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b" +version = "1.15.0+0" + +[[Xorg_xtrans_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl"] +git-tree-sha1 = "e92a1a012a10506618f10b7047e478403a046c77" +uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10" +version = "1.5.0+0" + +[[Zlib_jll]] +deps = ["Libdl"] +uuid = "83775a58-1f1d-513f-b197-d71354ab007a" + +[[isoband_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "51b5eeb3f98367157a7a12a1fb0aa5328946c03c" +uuid = "9a68df92-36a6-505f-a73e-abb412b6bfb4" +version = "0.2.3+0" + +[[libaom_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "3a2ea60308f0996d26f1e5354e10c24e9ef905d4" +uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b" +version = "3.4.0+0" + +[[libass_jll]] +deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] +git-tree-sha1 = "5982a94fcba20f02f42ace44b9894ee2b140fe47" +uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0" +version = "0.15.1+0" + +[[libfdk_aac_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55" +uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280" +version = "2.0.2+0" + +[[libpng_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] +git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c" +uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f" +version = "1.6.38+0" + +[[libsixel_jll]] +deps = ["Artifacts", "JLLWrappers", "JpegTurbo_jll", "Libdl", "Pkg", "libpng_jll"] +git-tree-sha1 = "d4f63314c8aa1e48cd22aa0c17ed76cd1ae48c3c" +uuid = "075b6546-f08a-558a-be8f-8157d0f608a5" +version = "1.10.3+0" + +[[libvorbis_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"] +git-tree-sha1 = "b910cb81ef3fe6e78bf6acee440bda86fd6ae00c" +uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a" +version = "1.3.7+1" + +[[nghttp2_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" + +[[p7zip_jll]] +deps = ["Artifacts", "Libdl"] +uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" + +[[x264_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2" +uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a" +version = "2021.5.5+0" + +[[x265_jll]] +deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] +git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9" +uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76" +version = "3.5.0+0" +""" + +# ╔═╡ Cell order: +# ╟─00358bc2-1e49-45a9-9b78-293aadd40976 +# ╟─f265f5b9-d5d0-45ce-a850-f4237218cf99 +# ╟─dbdbcbbe-57fd-497f-b5ba-83b61e87de0b +# ╟─380ba7f0-76e6-47ec-98e2-e6c6a3b7f2d5 +# ╟─f97f9f46-b5c7-4cee-a69f-1eb53b560952 +# ╟─9243a029-8f8d-4a28-b098-d2a2810a8786 +# ╟─796aad78-36d4-42fd-a467-707692b094a2 +# ╟─adfc8467-93bf-472e-a9fc-bd502caa5daa +# ╟─f9df01a1-8fb7-4337-9415-9ab56d9c696a +# ╟─9274ed36-a28e-42f3-879f-167d5afa6fc7 +# ╟─bb869b27-0bce-4314-b28f-684ccc14f7ea +# ╟─88e4551f-9ae1-4a5f-819b-01c43a319981 +# ╟─faf156f0-fa3f-46f6-98d3-3bbf0690a0a4 +# ╟─27bd1602-3ca0-4daf-a9ff-c76ea818ead4 +# ╟─f0d08486-0086-48da-baeb-169f3812d0ea +# ╟─572bd8d5-65b0-462e-a143-811f4bfa875e +# ╟─1fd4973b-8a25-4ddb-ac6d-3fb444a5ed2c +# ╟─a60029d5-ae8d-4704-bef1-076949712c37 +# ╟─bccfdd98-b425-4f8d-a58d-489134851ebd +# ╠═6b243243-8f26-4f2d-8727-564f0701b302 +# ╟─0ccf60db-75b2-466d-935e-f39855bc36f7 +# ╟─e4a17824-0e9f-442e-82bc-62b8d46e88e5 +# ╠═032130c4-686b-4db9-9753-9b0fe764f94e +# ╠═472b52d8-e787-4a93-83d8-c53e977a143c +# ╠═ceb05a23-93b8-4423-a5f9-f6e3d961d0c6 +# ╟─e63c92a5-659e-41f7-85a4-c2f3baffcef6 +# ╠═3fd4b34c-18ed-4b07-b594-01afb377ead7 +# ╠═05df72e9-f45b-49c3-8015-9212f439cf72 +# ╠═9fab3bbb-5c7f-4464-97c9-847f52754845 +# ╟─da0a4117-629e-42b5-95ae-d49f10769830 +# ╟─8680db2e-3dda-4aff-a00e-130ac1f4486c +# ╟─c2455fae-f733-4e59-b2d0-a76913810f15 +# ╟─ca75244c-69ac-45c8-aa33-59c05dc4091b +# ╟─d7ce43e5-7af7-4182-9992-1501e6d2e532 +# ╟─0dd8235c-c09b-49ae-b02a-4bbb285970a6 +# ╠═df178bb8-3b81-4c4b-ba94-3ad945e63007 +# ╠═c4f25a29-009e-47e4-adc0-18c94e247df4 +# ╠═110068f5-0433-40bc-ab9e-cafe8fa3cc68 +# ╠═9ad51efd-a487-4153-ac3a-077ae99905bc +# ╟─00000000-0000-0000-0000-000000000001 +# ╟─00000000-0000-0000-0000-000000000002