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, 4) :

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