giles 2129e04bfd
Test, Build, and Deploy / test-build-deploy (push) Failing after 43s
ocaml: phase 5.1 count_change.ml baseline (ways to make 50c from [1;2;5;10;25] = 406) ...
Companion to coin_change.ml (min coins). Counts distinct multisets
via the unbounded-knapsack DP:
let count_ways coins target =
let dp = Array.make (target + 1) 0 in
dp.(0) <- 1;
List.iter (fun c ->
for i = c to target do
dp.(i) <- dp.(i) + dp.(i - c)
done
) coins;
dp.(target)
Outer loop over coins, inner DP relaxes dp.(i) += dp.(i - c). The
order matters — coin in outer, amount in inner — to count multisets
rather than ordered sequences.
count_ways [1; 2; 5; 10; 25] 50 = 406.
79 baseline programs total.
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giles
2129e04bfd