{"id":"counting-bits-zero-init-is-base-case","text":"The `[0] * (n + 1)` initialization serves double duty: it allocates the output array and establishes the base case `ans[0] = 0` without a separate assignment.","truth_value":"IN","source":"entries/2026/06/06/counting-bits-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"counting-bits-zero-init-is-base-case","truth_value":"IN","reason":"premise"}]}}