 0 0 0 0 F 
 0 0 0 1 G 
 0 0 0 2 P
 0 0 0 3 P
 0 0 0 4 P
 0 0 0 5 P
 0 0 1 1 P
 0 0 1 2 P
 0 0 1 3 P
 0 0 1 4 P
 0 0 1 5 P
 0 0 2 2 G
 0 0 2 3 P
 0 0 2 4 P
 0 0 2 5 P
 0 0 3 3 G
 0 0 3 4 P
 0 0 3 5 P
 0 0 4 4 G
 0 0 4 5 P
 0 1 1 1 G
 0 1 1 2 P
 0 1 1 3 P
 0 1 1 4 P
 0 1 1 5 P
 0 1 2 2 P
 0 1 2 3 G
 0 1 2 4 P
 0 1 2 5 P
 0 1 3 3 P
 0 1 3 4 P
 0 1 3 5 P
 0 1 4 4 P
 0 1 4 5 G
 0 2 2 2 P
 0 2 2 3 P
 0 2 2 4 P
 0 2 2 5 P
 0 2 3 3 P
 0 2 3 4 P
 0 2 3 5 P
 0 2 4 4 P
 0 2 4 5 P
 0 3 3 3 P
 0 3 3 4 P
 0 3 3 5 P
 0 3 4 4 P
 0 3 4 5 P
 1 1 1 1 F
 1 1 1 2 P
 1 1 1 3 P
 1 1 1 4 P
 1 1 1 5 P
 1 1 2 2 G
 1 1 2 3 P
 1 1 2 4 P
 1 1 2 5 P
 1 1 3 3 G
 1 1 3 4 P
 1 1 3 5 P
 1 1 4 4 G
 1 1 4 5 P
 1 2 2 2 P
 1 2 2 3 G
 1 2 2 4 P
 1 2 2 5 P
 1 2 3 3 P
 1 2 3 4 P
 1 2 3 5 P
 1 2 4 4 P
 1 2 4 5 P
 1 3 3 3 P
 1 3 3 4 G
 1 3 3 5 P
 1 3 4 4 P
 1 3 4 5 P
 2 2 2 2 G
 2 2 2 3 P
 2 2 2 4 P
 2 2 2 5 P
 2 2 3 3 G
 2 2 3 4 P
 2 2 3 5 P
 2 2 4 4 G
 2 2 4 5 P
 2 3 3 3 P
 2 3 3 4 P
 2 3 3 5 P
 2 3 4 4 P
 2 3 4 5 P