{"id":"simulation-preferred-over-closed-form","text":"Solutions favor direct simulation loops over equivalent closed-form or bit-manipulation formulas — e.g., steps-to-zero uses a while loop instead of `bit_length + popcount - 1`","truth_value":"IN","source":"entries/2026/06/06/number-of-steps-to-reduce-a-number-to-zero-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"simulation-preferred-over-closed-form","truth_value":"IN","reason":"premise"}]}}