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, 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 5 6 1 0 0 1
1 6 5 0 1 1 0 1 3 6 6 3 3
2 3 5 3 3 1 0 2 1 4 3 4 3 1 10 8 5 4
3 1 3 5 4 3 3 2 1 8 7 2 2 1 Even Even 1 1
4 1 1 1 1 5 4 0
5 1 1 1 1 5 4 0
6 1 1 1 1 5 4 0
7 1 1 5 4 1 1 0
(5)(5) - (4)(6) = 1