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(3, 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 3 14 1 0 0 1
1 14 3 0 1 1 0 11 7 14 4 7 2
2 7 3 7 2 1 0 4 0 8 2 8 2 2 Even Even 4 1
3 2 3 4 1 1 0 1 1 18 4 9 2
4 1 3 9 2 1 0 2 1 10 2 10 2 1 Even Even 5 1
5 1 1 5 1 9 2 0
6 1 1 5 1 9 2 0
7 1 1 5 1 9 2 0
(5)(3) - (1)(14) = 1