haskell: n-queens via list comprehension + where (+2 tests, 397/397)

- fix hk-eval-let: multi-clause where/let now uses hk-bind-decls!
  grouping (enables go 0 / go k pattern)
- add concatMap/concat/abs/negate to Prelude (list comprehension support)
- cache init env in hk-env0 (eval-expr-source 5x faster)
This commit is contained in:
2026-04-25 18:40:27 +00:00
parent 9facbb4836
commit 8a9168c8d5
3 changed files with 71 additions and 16 deletions

View File

@@ -0,0 +1,18 @@
-- nqueens.hs — n-queens backtracking solver.
--
-- `queens n` returns all solutions as lists of column positions,
-- one per row. Each call to `go k` extends all partial `(k-1)`-row
-- solutions by one safe queen, using a list comprehension whose guard
-- checks the new queen against all already-placed queens.
queens n = go n
where
go 0 = [[]]
go k = [q:qs | qs <- go (k - 1), q <- [1..n], safe q qs]
safe q qs = check q qs 1
check q [] _ = True
check q (c:cs) d = q /= c && abs (q - c) /= d && check q cs (d + 1)
result = length (queens 8)