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, 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 5 14 1 0 0 1
1 14 5 0 1 1 0 9 7 14 6 7 3
2 7 5 7 3 1 0 2 0 8 3 8 3 1 22 8 11 4
3 1 5 11 4 1 0 4 1 12 4 12 4 2 Even Even 6 2
4 2 1 6 2 11 4 1 1 Even Even 3 1
5 1 1 3 1 11 4 0
6 1 1 3 1 11 4 0
7 1 1 3 1 11 4 0
(3)(5) - (1)(14) = 1