c1, c2, c3, c4, c5
1, 1, 1, 0, 0
1, 1, 0, 1, 0
0, 1, 1, 0, 0
0, 0, 0, 1, 1
0, 0, 0, 1, 0
0, 0, 1, 1, 1
0, 0, 0, 0, 1