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, 15) :

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 15 1 0 0 1
1 11 15 1 0 0 1 4 1 1 1 1 1 2 16 12 8 6
2 2 11 8 6 1 0 9 1 Even Even 4 3
3 1 11 4 3 1 0 10 1 5 3 5 3 5 20 14 10 7
4 5 1 10 7 4 3 4 0 14 10 14 10 2 Even Even 7 5
5 2 1 7 5 4 3 1 1 22 16 11 8
6 1 1 11 8 4 3 0
7 1 1 11 8 4 3 0
(11)(11) - (8)(15) = 1