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(13, 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 13 14 1 0 0 1
1 14 13 0 1 1 0 1 7 14 14 7 7
2 7 13 7 7 1 0 6 1 8 7 8 7 3 22 20 11 10
3 3 7 11 10 7 7 4 1 18 17 4 4 2 Even Even 2 2
4 2 3 2 2 11 10 1 1 Even Even 1 1
5 1 3 1 1 11 10 2 1 12 11 12 11 1 26 24 13 12
6 1 1 13 12 1 1 0
7 1 1 13 12 1 1 0
(13)(13) - (12)(14) = 1