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(9, 6) :

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 9 6 1 0 0 1
1 6 9 0 1 1 0 3 3 6 10 3 5
2 3 9 3 5 1 0 6 1 4 5 4 5 3 10 14 5 7
3 3 3 5 7 3 5 0
4 3 3 5 7 3 5 0
5 3 3 5 7 3 5 0
6 3 3 5 7 3 5 0
7 3 3 5 7 3 5 0
(5)(9) - (7)(6) = 3