// cell #0
0:{}:{}
// cell #1
0:{2}:{(1,1)}
1:{1}:{(0,1),(2,1)}
2:{2}:{(1,1)}
// cell #2
0:{}:{}
// cell #3
0:{2}:{(1,1)}
1:{1}:{(0,1),(2,1)}
2:{2}:{(1,1)}
// cell #4
0:{2}:{(1,1)}
1:{1}:{(0,1),(2,1)}
2:{2}:{(1,1)}
// cell #5
0:{1,2}:{}