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(10, 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 10 15 1 0 0 1
1 10 15 1 0 0 1 5 5 16 10 8 5
2 5 15 8 5 0 1 10 1 8 6 8 6 5 Even Even 4 3
3 5 5 4 3 8 5 0
4 5 5 4 3 8 5 0
5 5 5 4 3 8 5 0
6 5 5 4 3 8 5 0
7 5 5 8 5 4 3 0
(8)(10) - (5)(15) = 5