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, 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 10 13 1 0 0 1
1 10 13 1 0 0 1 3 5 14 10 7 5
2 5 13 7 5 0 1 8 1 7 6 7 6 4 20 16 10 8
3 4 5 10 8 7 5 1 2 Even Even 5 4
4 2 5 5 4 7 5 3 1 18 14 9 7
5 1 5 9 7 7 5 4 1 16 12 3 2 2 16 12 8 6
6 2 1 8 6 9 7 1 1 Even Even 4 3
7 1 1 4 3 9 7 0
(4)(10) - (3)(13) = 1