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(7, 3) :

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