{"id":"bfs-guarantees-manhattan-order","text":"BFS from a center cell on a grid with 4-directional edges produces cells in non-decreasing Manhattan distance order, because every edge has weight 1 and BFS explores layer by layer.","truth_value":"IN","source":"entries/2026/06/06/matrix-cells-in-distance-order-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"bfs-guarantees-manhattan-order","truth_value":"IN","reason":"premise"}]}}