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Hoare quickselect with Lomuto partition: recursively narrows the
range to whichever side contains the kth index. Mutates the array
in place via .(i)<-v. The median (k=4) of [7;2;9;1;5;6;3;8;4] is 5.
let rec quickselect arr lo hi k =
if lo = hi then arr.(lo)
else begin
let pivot = arr.(hi) in
let i = ref lo in
for j = lo to hi - 1 do
if arr.(j) < pivot then begin
let t = arr.(!i) in
arr.(!i) <- arr.(j); arr.(j) <- t;
i := !i + 1
end
done;
...
end
Exercises array literal syntax + in-place mutation in the same
program, ensuring [|...|] yields a mutable backing.
138 baseline programs total.
26 lines
569 B
OCaml
26 lines
569 B
OCaml
let rec quickselect arr lo hi k =
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if lo = hi then arr.(lo)
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else begin
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let pivot = arr.(hi) in
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let i = ref lo in
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for j = lo to hi - 1 do
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if arr.(j) < pivot then begin
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let t = arr.(!i) in
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arr.(!i) <- arr.(j);
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arr.(j) <- t;
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i := !i + 1
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end
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done;
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let t = arr.(!i) in
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arr.(!i) <- arr.(hi);
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arr.(hi) <- t;
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if !i = k then arr.(!i)
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else if !i < k then quickselect arr (!i + 1) hi k
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else quickselect arr lo (!i - 1) k
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end
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;;
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let a = [|7; 2; 9; 1; 5; 6; 3; 8; 4|] in
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quickselect a 0 8 4
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