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(6, 5) :

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