{"id":"counter-max-keys-bounded-by-digit-sum","text":"The Counter produced by `countBalls` has at most 45 entries (max digit sum for a 5-digit number in [1, 100000]), making space O(1) regardless of input range size.","truth_value":"IN","source":"entries/2026/06/06/maximum-number-of-balls-in-a-box-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"counter-max-keys-bounded-by-digit-sum","truth_value":"IN","reason":"premise"}]}}