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(5, 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 5 9 1 0 0 1
1 5 9 1 0 0 1 4 1 1 1 1 1 2 10 6 5 3
2 2 5 5 3 1 0 3 1 14 8 7 4
3 1 5 7 4 1 0 4 1 8 4 8 4 2 Even Even 4 2
4 2 1 4 2 7 4 1 1 Even Even 2 1
5 1 1 2 1 7 4 0
6 1 1 2 1 7 4 0
7 1 1 2 1 7 4 0
(2)(5) - (1)(9) = 1