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, 3) :

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 3 1 0 0 1
1 11 3 1 0 0 1 8 0 1 1 1 1 4 4 12 2 6
2 4 3 2 6 0 1 1 2 Even Even 1 3
3 2 3 1 3 0 1 1 1 4 14 2 7
4 1 3 2 7 0 1 2 1 2 8 2 8 1 Even Even 1 4
5 1 1 1 4 2 7 0
6 1 1 1 4 2 7 0
7 1 1 2 7 1 4 0
(2)(11) - (7)(3) = 1