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, 2) :

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 2 1 0 0 1
1 2 9 0 1 1 0 7 1 2 10 1 5
2 1 9 1 5 1 0 8 1 2 5 2 5 4 4 14 2 7
3 4 1 2 7 1 5 3 2 4 16 2 8
4 2 1 2 8 1 5 1 1 Even Even 1 4
5 1 1 1 4 1 5 0
6 1 1 1 4 1 5 0
7 1 1 1 4 1 5 0
(1)(9) - (4)(2) = 1