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Floyd's cycle detection on a numeric function f(x) = (2x + 5) mod 17.
Three phases:
Phase 1: advance slow/fast until collision inside the cycle
(fast double-steps, slow single-steps)
Phase 2: restart slow from x0; advance both by 1 until they
meet — count is mu (length of tail before cycle)
Phase 3: advance fast around cycle once until it meets slow
— count is lam (cycle length)
For x0 = 1, the orbit visits 1, 7, 2, 9, 6, 0, 5, 15 then returns
to 1 — pure cycle of length 8, mu = 0, lam = 8. Encoded as
mu*100 + lam = 8.
Tests three sequential while loops sharing ref state,
double-step `fast := f (f !fast)`, meeting-condition flag.
185 baseline programs total.