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, 8) :

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 8 1 0 0 1
1 8 7 0 1 1 0 1 4 8 8 4 4
2 4 7 4 4 1 0 3 2 Even Even 2 2
3 2 7 2 2 1 0 5 1 Even Even 1 1
4 1 7 1 1 1 0 6 1 2 1 2 1 3 10 8 5 4
5 3 1 5 4 1 1 2 0 6 5 6 5 1 14 12 7 6
6 1 1 7 6 1 1 0
7 1 1 7 6 1 1 0
(7)(7) - (6)(8) = 1