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, 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 9 15 1 0 0 1
1 9 15 1 0 0 1 6 1 1 1 1 1 3 16 10 8 5
2 3 9 8 5 1 0 6 1 9 5 9 5 3 24 14 12 7
3 3 3 12 7 8 5 0
4 3 3 12 7 8 5 0
5 3 3 12 7 8 5 0
6 3 3 12 7 8 5 0
7 3 3 12 7 8 5 0
(12)(9) - (7)(15) = 3