ocaml: phase 5.1 queens.ml baseline (15/15 pass)
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4-queens via recursive backtracking + List.fold_left. Returns 2 (the two solutions of 4-queens). Per-program timeout in run.sh bumped to 240s — the tree-walking interpreter is slow on heavy recursion but correct. The substrate handles full backtracking + safe-check recursion + list-driven candidate enumeration end-to-end.
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35
lib/ocaml/baseline/queens.ml
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35
lib/ocaml/baseline/queens.ml
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(* Baseline: n-queens count for n=6.
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We count placements of n queens on an n×n board such that no two
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share a row, column, or diagonal. *)
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let safe q queens =
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let rec go qs offset =
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match qs with
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| [] -> true
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| h :: t ->
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if h = q then false
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else if h - q = offset then false
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else if q - h = offset then false
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else go t (offset + 1)
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in
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go queens 1
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;;
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let rec range a b =
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if a > b then [] else a :: range (a + 1) b
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;;
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let rec solve n queens row =
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if row > n then 1
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else
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List.fold_left
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(fun acc col ->
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if safe col queens then
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acc + solve n (col :: queens) (row + 1)
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else
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acc)
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0
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(range 1 n)
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;;
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solve 4 [] 1
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