{"id":"image-smoother-constant-work-per-cell","text":"The inner double loop iterates at most 9 times per cell (3×3 window), making overall complexity O(m·n) rather than O(m·n·k²).","truth_value":"IN","source":"entries/2026/06/06/image-smoother-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"image-smoother-constant-work-per-cell","truth_value":"IN","reason":"premise"}]}}