89 
By the first we can add to J 
456 789 123 =Q X J 
564 897 231 
645 978 312 
546 879 213 
✓ 
6 5 4 987 321 
465 798 132 
and 789 123 456 =Q Z J 
897 231 456 
978 312 564 
879 213 546 
987 321 654 
798 132 465 
forming a group J -]- Q ; J + Q, J of 18 = 3 • 2 . 3 = K rl 
substitutions. 
By the latter 
we can add farther, 
1 2 3 
7 8 9 
4 5 6 = Q, J 
2 3 1 
8 9 7 
5 6 4 
3 1 2 
9 7 8 
6 4 5 
2 1 3 
8 7 9 
5 4 6 
3 2 1 
9 8 6 
6 5 4 
1 3 2 
7 9 8 
4 6 5 
and 7 8 9 
4 5 6 
12 3 = Q* J 
8 9 7 
5 6 4 
2 3 1 
9 7 8 
6 4 5 
3 1 2 
8 7 9 
5 4 6 
2 1 3 
9 8 7 
6 5 4 
3 2 1 
7 9 8 
4 6 5 
1 3 2 
and 4 5 6 
1 2 3 
7 8 9 = Qi J 
5 6 4 
2 3 1 
8 9 7 
6 4 5 
3 1 2 
9 7 S 
5 4 6 
2 1 3 
8 7 9 
6 5 4 
3 2 1 
9 8 7 
4 6 5 
1 3 2 
7 9 8 
thus com 
pleting 
a grouped group of 3 • 2 • 6 = Krl substi 
tutions. 
c 
