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, 15) :

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 15 1 0 0 1
1 3 15 1 0 0 1 12 1 1 1 1 1 6 16 4 8 2
2 6 3 8 2 1 0 3 3 Even Even 4 1
3 3 3 4 1 1 0 0
4 3 3 4 1 1 0 0
5 3 3 4 1 1 0 0
6 3 3 4 1 1 0 0
7 3 3 1 0 4 1 0
(1)(3) - (0)(15) = 3