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(5, 11) :

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