{"id":"k-beauty-zero-guard-before-modulo","text":"`divisor_substrings` guards `sub != 0` before computing `num % sub`, preventing `ZeroDivisionError` when substrings like `\"00\"` parse to zero via `int()`.","truth_value":"IN","source":"entries/2026/06/06/find-the-k-beauty-of-a-number-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"k-beauty-zero-guard-before-modulo","truth_value":"IN","reason":"premise"}]}}