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(9, 14) :

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 9 14 1 0 0 1
1 14 9 0 1 1 0 5 7 14 10 7 5
2 7 9 7 5 1 0 2 1 8 5 8 5 1 22 14 11 7
3 1 7 11 7 7 5 6 1 18 12 4 3 3 18 12 9 6
4 3 1 9 6 11 7 2 0 20 13 6 4 1 Even Even 3 2
5 1 1 3 2 11 7 0
6 1 1 3 2 11 7 0
7 1 1 11 7 3 2 0
(11)(9) - (7)(14) = 1