{
  "mask": [
    [
      1,
      0,
      1
    ],
    [
      0,
      1,
      0
    ],
    [
      1,
      0,
      1
    ]
  ],
  "four_neighbor": {
    "labels": [
      [
        1,
        0,
        2
      ],
      [
        0,
        3,
        0
      ],
      [
        4,
        0,
        5
      ]
    ],
    "partition": [
      [
        [
          0,
          0
        ]
      ],
      [
        [
          0,
          2
        ]
      ],
      [
        [
          1,
          1
        ]
      ],
      [
        [
          2,
          0
        ]
      ],
      [
        [
          2,
          2
        ]
      ]
    ],
    "size_bbox": [
      {
        "size": 1,
        "bbox_half_open": [
          0,
          0,
          1,
          1
        ]
      },
      {
        "size": 1,
        "bbox_half_open": [
          0,
          2,
          1,
          3
        ]
      },
      {
        "size": 1,
        "bbox_half_open": [
          1,
          1,
          2,
          2
        ]
      },
      {
        "size": 1,
        "bbox_half_open": [
          2,
          0,
          3,
          1
        ]
      },
      {
        "size": 1,
        "bbox_half_open": [
          2,
          2,
          3,
          3
        ]
      }
    ]
  },
  "eight_neighbor": {
    "labels": [
      [
        1,
        0,
        1
      ],
      [
        0,
        1,
        0
      ],
      [
        1,
        0,
        1
      ]
    ],
    "partition": [
      [
        [
          0,
          0
        ],
        [
          0,
          2
        ],
        [
          1,
          1
        ],
        [
          2,
          0
        ],
        [
          2,
          2
        ]
      ]
    ],
    "size_bbox": [
      {
        "size": 5,
        "bbox_half_open": [
          0,
          0,
          3,
          3
        ]
      }
    ]
  },
  "exhaustive_grid_connectivity_oracles": 1024,
  "invalid_cases_rejected": [
    "ragged",
    "nonbinary",
    "bool",
    "invalid_connectivity",
    "bool_connectivity",
    "empty",
    "budget"
  ],
  "scope": "BFS versus independent boolean Floyd transitive closure; partitions, not numeric label identity. Only fixed symmetric4/8 neighborhoods, not custom structures/SciPy/model/object identification."
}