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Task-scheduler closed-form min total intervals: m = max letter frequency k = number of letters tied at frequency m answer = max((m - 1) * (n + 1) + k, total_tasks) For "AAABBC" with cooldown n = 2: freq A = 3, freq B = 2, freq C = 1 -> m = 3, k = 1 formula = (3 - 1) * (2 + 1) + 1 = 7 total tasks = 6 answer = 7 Witness schedule: A, B, C, A, B, idle, A. Tests String.iter with side-effecting count update via Char.code arithmetic, fixed-size 26-bucket histogram. 195 baseline programs total.