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(10, 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 10 9 1 0 0 1
1 10 9 1 0 0 1 1 5 10 10 5 5
2 5 9 5 5 0 1 4 1 5 6 5 6 2 14 16 7 8
3 2 5 7 8 5 5 3 1 16 18 8 9
4 1 5 8 9 5 5 4 1 13 14 4 4 2 Even Even 2 2
5 2 1 2 2 8 9 1 1 Even Even 1 1
6 1 1 1 1 8 9 0
7 1 1 1 1 8 9 0
(1)(10) - (1)(9) = 1