The image converted to labeled "8-connected" components:
0 1 0 0 0 0 0 0
0 1 1 0 0 0 0 0
0 0 0 1 0 0 0 0
0 0 0 0 1 1 1 0
0 0 0 0 1 0 1 0
2 2 2 0 1 1 1 0
0 2 2 0 0 0 0 0
0 0 0 0 0 0 0 0