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, 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 14 5 1 0 0 1
1 14 5 1 0 0 1 9 7 6 14 3 7
2 7 5 3 7 0 1 2 0 3 8 3 8 1 8 22 4 11
3 1 5 4 11 0 1 4 1 4 12 4 12 2 Even Even 2 6
4 2 1 2 6 4 11 1 1 Even Even 1 3
5 1 1 1 3 4 11 0
6 1 1 1 3 4 11 0
7 1 1 4 11 1 3 0
(4)(14) - (11)(5) = 1