layout = array2d(1..17,1..3, [
31, 15, 22, 
43, 35, 20, 
24, 9, 48, 
32, 25, 12, 
8, 52, 27, 
26, 44, 38, 
29, 41, 36, 
28, 23, 10, 
50, 7, 2, 
30, 40, 39, 
4, 13, 33, 
42, 45, 16, 
21, 17, 46, 
5, 18, 14, 
34, 11, 37, 
51, 3, 19, 
6, 49, 47
]);