{"id":"modular-arithmetic-avoids-large-integers","text":"The binary-prefix-divisible-by-5 solution tracks only the remainder modulo 5 at each step (`remainder = (remainder * 2 + bit) % 5`), never constructing the actual binary number — a pattern for constant-space streaming over unbounded numeric sequences.","truth_value":"IN","source":"entries/2026/06/06/binary-prefix-divisible-by-5-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"modular-arithmetic-avoids-large-integers","truth_value":"IN","reason":"premise"}]}}