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, 5) :

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 5 1 0 0 1
1 11 5 1 0 0 1 6 0 1 1 1 1 3 6 12 3 6
2 3 5 3 6 0 1 2 1 3 7 3 7 1 8 18 4 9
3 1 3 4 9 3 6 2 1 7 15 2 4 1 Even Even 1 2
4 1 1 1 2 4 9 0
5 1 1 1 2 4 9 0
6 1 1 1 2 4 9 0
7 1 1 1 2 4 9 0
(1)(11) - (2)(5) = 1