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, 10) :

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