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(15, 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 15 2 1 0 0 1
1 2 15 0 1 1 0 13 1 2 16 1 8
2 1 15 1 8 1 0 14 1 2 8 2 8 7 Even Even 1 4
3 7 1 1 4 1 8 6 0 2 12 2 12 3 Even Even 1 6
4 3 1 1 6 1 8 2 0 2 14 2 14 1 Even Even 1 7
5 1 1 1 7 1 8 0
6 1 1 1 7 1 8 0
7 1 1 1 7 1 8 0
(1)(15) - (7)(2) = 1