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(11, 13) :

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 11 13 1 0 0 1
1 11 13 1 0 0 1 2 1 1 1 1 1 1 14 12 7 6
2 1 11 7 6 1 0 10 1 8 6 8 6 5 Even Even 4 3
3 5 1 4 3 7 6 4 0 11 9 11 9 2 24 20 12 10
4 2 1 12 10 7 6 1 1 Even Even 6 5
5 1 1 6 5 7 6 0
6 1 1 6 5 7 6 0
7 1 1 6 5 7 6 0
(6)(11) - (5)(13) = 1