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(11, 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 11 7 1 0 0 1
1 11 7 1 0 0 1 4 0 1 1 1 1 2 8 12 4 6
2 2 7 4 6 0 1 5 1 Even Even 2 3
3 1 7 2 3 0 1 6 1 2 4 2 4 3 Even Even 1 2
4 3 1 1 2 2 3 2 0 3 5 3 5 1 10 16 5 8
5 1 1 5 8 2 3 0
6 1 1 5 8 2 3 0
7 1 1 2 3 5 8 0
(2)(11) - (3)(7) = 1