{"id":"solutions-prefer-math-over-simulation","text":"When a closed-form or O(1) mathematical reduction exists, solutions use it instead of simulating the described operation (e.g., digital root formula instead of iterative digit summing, modular arithmetic instead of double-reversal).","truth_value":"IN","source":"entries/2026/06/06/a-number-after-a-double-reversal-solution.md, entries/2026/06/06/add-digits-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"solutions-prefer-math-over-simulation","truth_value":"IN","reason":"premise"}]}}