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Disjoint-set union with path compression:
let make_uf n = Array.init n (fun i -> i)
let rec find p x =
if p.(x) = x then x
else begin let r = find p p.(x) in p.(x) <- r; r end
let union p x y =
let rx = find p x in let ry = find p y in
if rx <> ry then p.(rx) <- ry
After unioning (0,1), (2,3), (4,5), (6,7), (0,2), (4,6):
{0,1,2,3} {4,5,6,7} {8} {9} --> 4 components.
Tests Array.init with closure, recursive find, in-place .(i)<-r.
139 baseline programs total.
34 lines
510 B
OCaml
34 lines
510 B
OCaml
let make_uf n = Array.init n (fun i -> i)
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let rec find p x =
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if p.(x) = x then x
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else begin
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let r = find p p.(x) in
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p.(x) <- r;
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r
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end
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let union p x y =
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let rx = find p x in
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let ry = find p y in
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if rx <> ry then p.(rx) <- ry
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let count_components p n =
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let c = ref 0 in
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for i = 0 to n - 1 do
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if find p i = i then c := !c + 1
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done;
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!c
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;;
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let n = 10 in
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let p = make_uf n in
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union p 0 1;
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union p 2 3;
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union p 4 5;
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union p 6 7;
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union p 0 2;
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union p 4 6;
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count_components p n
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