4 3 2 1
=======
0 0 0 0
0 0 0 1  1
0 0 1 0  2
0 0 1 1  1
0 1 0 0  3
0 1 0 1  1
0 1 1 0  2
0 1 1 1  1
1 0 0 0  4
1 0 0 1  1
1 0 1 0  2
1 0 1 1  1
1 1 0 0  3
1 1 0 1  1
1 1 1 0  2
1 1 1 1  1