[1][2][3][4,5,6]
 1  1  1  0 0
[1][2][3,4][5,6]
 1  1  0 1  0
[1][2][3,4,5][6]
 1  1  0 0 1
[1][2,3][4][5,6]
 1  0 1  1  0
[1][2,3][4,5][6]
 1  0 1  0 1
[1][2,3,4][5][6]
 1  0 0 1  1
[1,2][3][4][5,6]
 0 1  1  1  0
[1,2][3][4,5][6]
 0 1  1  0 1
[1,2][3,4][5][6]
 0 1  0 1  1
[1,2,3][4][5][6]
 0 0 1  1  1