{"id":"happy-number-fast-starts-ahead","text":"The fast pointer is initialized one step ahead (`get_next(n)`) while slow starts at `n` — this offset is critical for Floyd's algorithm to detect cycles correctly when the starting value itself is part of a cycle.","truth_value":"IN","source":"entries/2026/06/06/happy-number-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"happy-number-fast-starts-ahead","truth_value":"IN","reason":"premise"}]}}