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, 15) :

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 15 1 0 0 1
1 14 15 1 0 0 1 1 7 16 14 8 7
2 7 15 8 7 0 1 8 1 8 8 8 8 4 Even Even 4 4
3 4 7 4 4 8 7 3 2 Even Even 2 2
4 2 7 2 2 8 7 5 1 Even Even 1 1
5 1 7 1 1 8 7 6 1 9 8 9 8 3 24 22 12 11
6 3 1 12 11 1 1 2 0 13 12 13 12 1 28 26 14 13
7 1 1 14 13 1 1 0
(14)(14) - (13)(15) = 1