X = 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15
Y = 00 01 02 03 04 05 06 07 08 09 10 11 12 13 14 15
X ↔ Y

Ext-GCD(11, 9) :

i GCD Bezout AOdd : AEven :
A B ax ay bx by |A-B| A↔B Sx Sy ax
Sx'
ay
Sy'
A
A/2
ax
ax + Y
ay
ay + X
ax
ax/2
ay
ay/2
0 11 9 1 0 0 1
1 11 9 1 0 0 1 2 0 1 1 1 1 1 10 12 5 6
2 1 9 5 6 0 1 8 1 5 7 5 7 4 14 18 7 9
3 4 1 7 9 5 6 3 2 16 20 8 10
4 2 1 8 10 5 6 1 1 Even Even 4 5
5 1 1 4 5 5 6 0
6 1 1 4 5 5 6 0
7 1 1 5 6 4 5 0
(5)(11) - (6)(9) = 1