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