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PE12 with target = 10:
let count_divisors n =
let c = ref 0 in
let i = ref 1 in
while !i * !i <= n do
if n mod !i = 0 then begin
c := !c + 1;
if !i * !i <> n then c := !c + 1
end;
i := !i + 1
done;
!c
let first_triangle_with_divs target =
walk triangles T(n) = T(n-1) + n until count_divisors T > target
T(15) = 120 has 16 divisors — first to exceed 10. Real PE12 uses
target 500 (answer 76576500); 10 stays well under budget.
126 baseline programs total.