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(14, 9) :

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