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, 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 11 14 1 0 0 1
1 14 11 0 1 1 0 3 7 14 12 7 6
2 7 11 7 6 1 0 4 1 8 6 8 6 2 Even Even 4 3
3 2 7 4 3 7 6 5 1 18 14 9 7
4 1 7 9 7 7 6 6 1 16 13 2 2 3 Even Even 1 1
5 3 1 1 1 9 7 2 0 10 8 10 8 1 Even Even 5 4
6 1 1 5 4 9 7 0
7 1 1 9 7 5 4 0
(9)(11) - (7)(14) = 1