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(3, 7) :

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