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, 6) :

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 6 1 0 0 1
1 6 11 0 1 1 0 5 3 6 12 3 6
2 3 11 3 6 1 0 8 1 4 6 4 6 4 Even Even 2 3
3 4 3 2 3 3 6 1 2 8 14 4 7
4 2 3 4 7 3 6 1 1 10 18 5 9
5 1 3 5 9 3 6 2 1 8 15 2 4 1 Even Even 1 2
6 1 1 1 2 5 9 0
7 1 1 5 9 1 2 0
(5)(11) - (9)(6) = 1