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Classic Josephus problem solved with the standard recurrence:
let rec josephus n k =
if n = 1 then 0
else (josephus (n - 1) k + k) mod n
josephus 50 3 + 1 = 11
50 people stand in a circle, every 3rd is eliminated; the last
survivor is at position 11 (1-indexed). Tests recursion + mod.
136 baseline programs total.