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, 8) :

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 8 1 0 0 1
1 8 11 0 1 1 0 3 4 8 12 4 6
2 4 11 4 6 1 0 7 2 Even Even 2 3
3 2 11 2 3 1 0 9 1 10 14 5 7
4 1 11 5 7 1 0 10 1 6 7 6 7 5 14 18 7 9
5 5 1 7 9 5 7 4 0 12 16 4 5 2 12 16 6 8
6 2 1 6 8 5 7 1 1 Even Even 3 4
7 1 1 3 4 5 7 0
(3)(11) - (4)(8) = 1