{"id":"mod-applied-per-multiply","text":"In prime-arrangements, modular reduction (`% MOD`) is applied at each multiplication step rather than once at the end, keeping intermediate values bounded — a pattern used across competitive-programming solutions in this repo.","truth_value":"IN","source":"entries/2026/06/06/prime-arrangements-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"mod-applied-per-multiply","truth_value":"IN","reason":"premise"}]}}