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