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### A Pluto.jl notebook ### | |
# v0.19.9 | |
using Markdown | |
using InteractiveUtils | |
# ╔═╡ 07034ef4-037e-11ee-30e6-37d72cee1635 | |
using Plots, Distances, Statistics, Random, LaTeXStrings | |
# ╔═╡ dd352de2-0119-4562-b22c-39c2575bf721 | |
data = begin | |
Random.seed!(2023) | |
x = vcat(randn(100), (0.5*randn(150)).+5, randn(50).+3) | |
y = vcat(randn(100), (2*randn(150)).+2, randn(50).+6) | |
data = hcat(x,y) | |
# Add noisy data | |
# data = vcat(data, [200 -2; 200 5]) | |
end; | |
# ╔═╡ 9c8fbf56-71d0-47c4-be28-bda59168ad51 | |
begin | |
Random.seed!(42) | |
# clusters | |
K = 2 | |
# random init | |
ixs = rand(1:size(data,1), K) | |
c = data[ixs,:] | |
end; | |
# ╔═╡ aaffafe0-abb5-45cd-8c91-caf90abb15dc | |
begin | |
p1 = scatter(data[:,1], data[:,2], legend=false, ylims=[-4, 12], xlims=[-4, 12], color=:gray) | |
scatter!(p1, c[:,1], c[:,2], markersize=15, color=1:K, markerstrokewidth=2, markershape=:star5) | |
p1 | |
end | |
# ╔═╡ 02ce40f0-8642-4f91-b051-8f373e6d64e9 | |
# 1. Compute pairwise distance (x - c_i)^2 | |
# 2. Assign datum to closest cluster center | |
# ╔═╡ 59693a0a-0bbd-496d-9bad-223be3e0396d | |
begin | |
# Compute pairwise distance (x - c_i)^2 | |
dists1 = pairwise(SqEuclidean(), data, c, dims=1) | |
# Assign datum to closest cluster center | |
mins1 = argmin(dists1, dims=2) | |
assignments1 = map(i -> i[2], mins1)[:] | |
p2 = scatter(data[:,1], data[:,2], legend=false, ylims=[-4, 12], xlims=[-4, 12], color=assignments1) | |
scatter!(p2, c[:,1], c[:,2], markersize=15, color=1:K, markerstrokewidth=2, markershape=:star5) | |
p2 | |
end | |
# ╔═╡ d1017c19-b4d8-48d1-8215-5c9d4bd18c52 | |
iterations = 20 | |
# ╔═╡ 8071867c-1f6e-45b0-addc-7710367be4e2 | |
begin | |
centers = [] | |
assigns = [] | |
push!(centers, c) | |
for it in 1:iterations | |
c_ = centers[end] | |
# Compute pairwise distance (x - c_i)^2 | |
dists = pairwise(SqEuclidean(), data, c_, dims=1) | |
# Assign datum to closest cluster center | |
mins = argmin(dists, dims=2) | |
assignments = map(i -> i[2], mins)[:] | |
# Compute new cluster centers (centroids) | |
c_new = mapreduce(i -> mean(data[assignments .== i,:], dims=1), vcat, 1:size(c, 1)) | |
# save | |
push!(centers, c_new) | |
push!(assigns, assignments) | |
end | |
end | |
# ╔═╡ fc0e0497-22ca-4387-9f2a-63b74efb90ab | |
anim = @animate for i in 1:iterations | |
p = scatter(data[:,1], data[:,2], ylims=[-4, 12], xlims=[-4, 12], legend=false, color=assigns[i]) | |
scatter!(p, centers[i][:,1], centers[i][:,2], markersize=15, color=1:K, markerstrokewidth=2, markershape=:star5) | |
for k in 1:K | |
plot!(p, map(c -> c[k,1], centers[1:i]), map(c -> c[k,2], centers[1:i]), color=:black, linewidth=2) | |
end | |
end; | |
# ╔═╡ a1587062-7cd8-499f-b277-10cef15807d6 | |
gif(anim, fps = 2) | |
# ╔═╡ fbc8b93e-464c-48d8-a371-6790ebd0e8c1 | |
# Compute Residual sum-of-squares | |
# ╔═╡ f0912cf4-a463-4e5f-9554-398eb16581a7 | |
function RSS_k(data_, center_, assignments_) | |
_data = data_[assignments_,:] | |
_centers = reshape(center_, 1, 2) | |
return sum(pairwise(SqEuclidean(), _data, _centers, dims=1)) | |
end | |
# ╔═╡ c704ad1e-2f07-4894-b6e3-351291a9743b | |
function RSS(data_, centers_, assigns_, K_) | |
return sum(k -> RSS_k(data_, centers_[k,:], assigns_ .== k), 1:K_) | |
end | |
# ╔═╡ 52d5068a-7454-4124-8001-b4cd20f4b7f0 | |
plot([RSS(data, centers[i], assigns[i], K) for i in 1:iterations], xlabel="iterations", ylabel="RSS", title = L"\sum^k_{j=1} \sum^n_{i=1} (x_i - c_j)^2") | |
# ╔═╡ 00000000-0000-0000-0000-000000000001 | |
PLUTO_PROJECT_TOML_CONTENTS = """ | |
[deps] | |
Distances = "b4f34e82-e78d-54a5-968a-f98e89d6e8f7" | |
LaTeXStrings = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f" | |
Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" | |
Random = "9a3f8284-a2c9-5f02-9a11-845980a1fd5c" | |
Statistics = "10745b16-79ce-11e8-11f9-7d13ad32a3b2" | |
[compat] | |
Distances = "~0.10.8" | |
LaTeXStrings = "~1.3.0" | |
Plots = "~1.38.16" | |
""" | |
# ╔═╡ 00000000-0000-0000-0000-000000000002 | |
PLUTO_MANIFEST_TOML_CONTENTS = """ | |
# This file is machine-generated - editing it directly is not advised | |
julia_version = "1.9.0" | |
manifest_format = "2.0" | |
project_hash = "b3accb265be301ab333e7589e98bf77749bef185" | |
[[deps.ArgTools]] | |
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version = "1.1.1" | |
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[[deps.Base64]] | |
uuid = "2a0f44e3-6c83-55bd-87e4-b1978d98bd5f" | |
[[deps.BitFlags]] | |
git-tree-sha1 = "43b1a4a8f797c1cddadf60499a8a077d4af2cd2d" | |
uuid = "d1d4a3ce-64b1-5f1a-9ba4-7e7e69966f35" | |
version = "0.1.7" | |
[[deps.Bzip2_jll]] | |
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
git-tree-sha1 = "19a35467a82e236ff51bc17a3a44b69ef35185a2" | |
uuid = "6e34b625-4abd-537c-b88f-471c36dfa7a0" | |
version = "1.0.8+0" | |
[[deps.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" | |
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[[deps.CodecZlib]] | |
deps = ["TranscodingStreams", "Zlib_jll"] | |
git-tree-sha1 = "9c209fb7536406834aa938fb149964b985de6c83" | |
uuid = "944b1d66-785c-5afd-91f1-9de20f533193" | |
version = "0.7.1" | |
[[deps.ColorSchemes]] | |
deps = ["ColorTypes", "ColorVectorSpace", "Colors", "FixedPointNumbers", "PrecompileTools", "Random"] | |
git-tree-sha1 = "be6ab11021cd29f0344d5c4357b163af05a48cba" | |
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[[deps.ColorTypes]] | |
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[[deps.Colors]] | |
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[[deps.Compat]] | |
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git-tree-sha1 = "7a60c856b9fa189eb34f5f8a6f6b5529b7942957" | |
uuid = "34da2185-b29b-5c13-b0c7-acf172513d20" | |
version = "4.6.1" | |
weakdeps = ["Dates", "LinearAlgebra"] | |
[deps.Compat.extensions] | |
CompatLinearAlgebraExt = "LinearAlgebra" | |
[[deps.CompilerSupportLibraries_jll]] | |
deps = ["Artifacts", "Libdl"] | |
uuid = "e66e0078-7015-5450-92f7-15fbd957f2ae" | |
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[[deps.ConcurrentUtilities]] | |
deps = ["Serialization", "Sockets"] | |
git-tree-sha1 = "96d823b94ba8d187a6d8f0826e731195a74b90e9" | |
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[[deps.ConstructionBase]] | |
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[deps.ConstructionBase.extensions] | |
ConstructionBaseIntervalSetsExt = "IntervalSets" | |
ConstructionBaseStaticArraysExt = "StaticArrays" | |
[deps.ConstructionBase.weakdeps] | |
IntervalSets = "8197267c-284f-5f27-9208-e0e47529a953" | |
StaticArrays = "90137ffa-7385-5640-81b9-e52037218182" | |
[[deps.Contour]] | |
git-tree-sha1 = "d05d9e7b7aedff4e5b51a029dced05cfb6125781" | |
uuid = "d38c429a-6771-53c6-b99e-75d170b6e991" | |
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[[deps.DataStructures]] | |
deps = ["Compat", "InteractiveUtils", "OrderedCollections"] | |
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git-tree-sha1 = "75ebe04c5bed70b91614d684259b661c9e6274a4" | |
uuid = "2913bbd2-ae8a-5f71-8c99-4fb6c76f3a91" | |
version = "0.34.0" | |
[[deps.SuiteSparse_jll]] | |
deps = ["Artifacts", "Libdl", "Pkg", "libblastrampoline_jll"] | |
uuid = "bea87d4a-7f5b-5778-9afe-8cc45184846c" | |
version = "5.10.1+6" | |
[[deps.TOML]] | |
deps = ["Dates"] | |
uuid = "fa267f1f-6049-4f14-aa54-33bafae1ed76" | |
version = "1.0.3" | |
[[deps.Tar]] | |
deps = ["ArgTools", "SHA"] | |
uuid = "a4e569a6-e804-4fa4-b0f3-eef7a1d5b13e" | |
version = "1.10.0" | |
[[deps.TensorCore]] | |
deps = ["LinearAlgebra"] | |
git-tree-sha1 = "1feb45f88d133a655e001435632f019a9a1bcdb6" | |
uuid = "62fd8b95-f654-4bbd-a8a5-9c27f68ccd50" | |
version = "0.1.1" | |
[[deps.Test]] | |
deps = ["InteractiveUtils", "Logging", "Random", "Serialization"] | |
uuid = "8dfed614-e22c-5e08-85e1-65c5234f0b40" | |
[[deps.TranscodingStreams]] | |
deps = ["Random", "Test"] | |
git-tree-sha1 = "9a6ae7ed916312b41236fcef7e0af564ef934769" | |
uuid = "3bb67fe8-82b1-5028-8e26-92a6c54297fa" | |
version = "0.9.13" | |
[[deps.URIs]] | |
git-tree-sha1 = "074f993b0ca030848b897beff716d93aca60f06a" | |
uuid = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4" | |
version = "1.4.2" | |
[[deps.UUIDs]] | |
deps = ["Random", "SHA"] | |
uuid = "cf7118a7-6976-5b1a-9a39-7adc72f591a4" | |
[[deps.Unicode]] | |
uuid = "4ec0a83e-493e-50e2-b9ac-8f72acf5a8f5" | |
[[deps.UnicodeFun]] | |
deps = ["REPL"] | |
git-tree-sha1 = "53915e50200959667e78a92a418594b428dffddf" | |
uuid = "1cfade01-22cf-5700-b092-accc4b62d6e1" | |
version = "0.4.1" | |
[[deps.Unitful]] | |
deps = ["ConstructionBase", "Dates", "LinearAlgebra", "Random"] | |
git-tree-sha1 = "ba4aa36b2d5c98d6ed1f149da916b3ba46527b2b" | |
uuid = "1986cc42-f94f-5a68-af5c-568840ba703d" | |
version = "1.14.0" | |
[deps.Unitful.extensions] | |
InverseFunctionsUnitfulExt = "InverseFunctions" | |
[deps.Unitful.weakdeps] | |
InverseFunctions = "3587e190-3f89-42d0-90ee-14403ec27112" | |
[[deps.UnitfulLatexify]] | |
deps = ["LaTeXStrings", "Latexify", "Unitful"] | |
git-tree-sha1 = "e2d817cc500e960fdbafcf988ac8436ba3208bfd" | |
uuid = "45397f5d-5981-4c77-b2b3-fc36d6e9b728" | |
version = "1.6.3" | |
[[deps.Unzip]] | |
git-tree-sha1 = "ca0969166a028236229f63514992fc073799bb78" | |
uuid = "41fe7b60-77ed-43a1-b4f0-825fd5a5650d" | |
version = "0.2.0" | |
[[deps.Wayland_jll]] | |
deps = ["Artifacts", "Expat_jll", "JLLWrappers", "Libdl", "Libffi_jll", "Pkg", "XML2_jll"] | |
git-tree-sha1 = "ed8d92d9774b077c53e1da50fd81a36af3744c1c" | |
uuid = "a2964d1f-97da-50d4-b82a-358c7fce9d89" | |
version = "1.21.0+0" | |
[[deps.Wayland_protocols_jll]] | |
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
git-tree-sha1 = "4528479aa01ee1b3b4cd0e6faef0e04cf16466da" | |
uuid = "2381bf8a-dfd0-557d-9999-79630e7b1b91" | |
version = "1.25.0+0" | |
[[deps.XML2_jll]] | |
deps = ["Artifacts", "JLLWrappers", "Libdl", "Libiconv_jll", "Pkg", "Zlib_jll"] | |
git-tree-sha1 = "93c41695bc1c08c46c5899f4fe06d6ead504bb73" | |
uuid = "02c8fc9c-b97f-50b9-bbe4-9be30ff0a78a" | |
version = "2.10.3+0" | |
[[deps.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" | |
[[deps.Xorg_libX11_jll]] | |
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll", "Xorg_xtrans_jll"] | |
git-tree-sha1 = "5be649d550f3f4b95308bf0183b82e2582876527" | |
uuid = "4f6342f7-b3d2-589e-9d20-edeb45f2b2bc" | |
version = "1.6.9+4" | |
[[deps.Xorg_libXau_jll]] | |
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
git-tree-sha1 = "4e490d5c960c314f33885790ed410ff3a94ce67e" | |
uuid = "0c0b7dd1-d40b-584c-a123-a41640f87eec" | |
version = "1.0.9+4" | |
[[deps.Xorg_libXcursor_jll]] | |
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXfixes_jll", "Xorg_libXrender_jll"] | |
git-tree-sha1 = "12e0eb3bc634fa2080c1c37fccf56f7c22989afd" | |
uuid = "935fb764-8cf2-53bf-bb30-45bb1f8bf724" | |
version = "1.2.0+4" | |
[[deps.Xorg_libXdmcp_jll]] | |
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
git-tree-sha1 = "4fe47bd2247248125c428978740e18a681372dd4" | |
uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05" | |
version = "1.1.3+4" | |
[[deps.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" | |
[[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", "Pkg", "Xorg_libX11_jll"] | |
git-tree-sha1 = "19560f30fd49f4d4efbe7002a1037f8c43d43b96" | |
uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa" | |
version = "0.9.10+4" | |
[[deps.Xorg_libpthread_stubs_jll]] | |
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
git-tree-sha1 = "6783737e45d3c59a4a4c4091f5f88cdcf0908cbb" | |
uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74" | |
version = "0.1.0+3" | |
[[deps.Xorg_libxcb_jll]] | |
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"] | |
git-tree-sha1 = "daf17f441228e7a3833846cd048892861cff16d6" | |
uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b" | |
version = "1.13.0+3" | |
[[deps.Xorg_libxkbfile_jll]] | |
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"] | |
git-tree-sha1 = "926af861744212db0eb001d9e40b5d16292080b2" | |
uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a" | |
version = "1.1.0+4" | |
[[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", "Pkg", "Xorg_libxkbfile_jll"] | |
git-tree-sha1 = "4bcbf660f6c2e714f87e960a171b119d06ee163b" | |
uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4" | |
version = "1.4.2+4" | |
[[deps.Xorg_xkeyboard_config_jll]] | |
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xkbcomp_jll"] | |
git-tree-sha1 = "5c8424f8a67c3f2209646d4425f3d415fee5931d" | |
uuid = "33bec58e-1273-512f-9401-5d533626f822" | |
version = "2.27.0+4" | |
[[deps.Xorg_xtrans_jll]] | |
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
git-tree-sha1 = "79c31e7844f6ecf779705fbc12146eb190b7d845" | |
uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10" | |
version = "1.4.0+3" | |
[[deps.Zlib_jll]] | |
deps = ["Libdl"] | |
uuid = "83775a58-1f1d-513f-b197-d71354ab007a" | |
version = "1.2.13+0" | |
[[deps.Zstd_jll]] | |
deps = ["Artifacts", "JLLWrappers", "Libdl"] | |
git-tree-sha1 = "49ce682769cd5de6c72dcf1b94ed7790cd08974c" | |
uuid = "3161d3a3-bdf6-5164-811a-617609db77b4" | |
version = "1.5.5+0" | |
[[deps.fzf_jll]] | |
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
git-tree-sha1 = "868e669ccb12ba16eaf50cb2957ee2ff61261c56" | |
uuid = "214eeab7-80f7-51ab-84ad-2988db7cef09" | |
version = "0.29.0+0" | |
[[deps.libaom_jll]] | |
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
git-tree-sha1 = "3a2ea60308f0996d26f1e5354e10c24e9ef905d4" | |
uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b" | |
version = "3.4.0+0" | |
[[deps.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" | |
[[deps.libblastrampoline_jll]] | |
deps = ["Artifacts", "Libdl"] | |
uuid = "8e850b90-86db-534c-a0d3-1478176c7d93" | |
version = "5.7.0+0" | |
[[deps.libfdk_aac_jll]] | |
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"] | |
git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55" | |
uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280" | |
version = "2.0.2+0" | |
[[deps.libpng_jll]] | |
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"] | |
git-tree-sha1 = "94d180a6d2b5e55e447e2d27a29ed04fe79eb30c" | |
uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f" | |
version = "1.6.38+0" | |
[[deps.libvorbis_jll]] | |
deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"] | |
git-tree-sha1 = "b910cb81ef3fe6e78bf6acee440bda86fd6ae00c" | |
uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a" | |
version = "1.3.7+1" | |
[[deps.nghttp2_jll]] | |
deps = ["Artifacts", "Libdl"] | |
uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d" | |
version = "1.48.0+0" | |
[[deps.p7zip_jll]] | |
deps = ["Artifacts", "Libdl"] | |
uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0" | |
version = "17.4.0+0" | |
[[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 = "9ebfc140cc56e8c2156a15ceac2f0302e327ac0a" | |
uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd" | |
version = "1.4.1+0" | |
""" | |
# ╔═╡ Cell order: | |
# ╠═07034ef4-037e-11ee-30e6-37d72cee1635 | |
# ╠═dd352de2-0119-4562-b22c-39c2575bf721 | |
# ╠═9c8fbf56-71d0-47c4-be28-bda59168ad51 | |
# ╟─aaffafe0-abb5-45cd-8c91-caf90abb15dc | |
# ╠═02ce40f0-8642-4f91-b051-8f373e6d64e9 | |
# ╟─59693a0a-0bbd-496d-9bad-223be3e0396d | |
# ╠═d1017c19-b4d8-48d1-8215-5c9d4bd18c52 | |
# ╠═8071867c-1f6e-45b0-addc-7710367be4e2 | |
# ╟─fc0e0497-22ca-4387-9f2a-63b74efb90ab | |
# ╠═a1587062-7cd8-499f-b277-10cef15807d6 | |
# ╠═fbc8b93e-464c-48d8-a371-6790ebd0e8c1 | |
# ╟─f0912cf4-a463-4e5f-9554-398eb16581a7 | |
# ╟─c704ad1e-2f07-4894-b6e3-351291a9743b | |
# ╟─52d5068a-7454-4124-8001-b4cd20f4b7f0 | |
# ╟─00000000-0000-0000-0000-000000000001 | |
# ╟─00000000-0000-0000-0000-000000000002 |
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