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(14, 11) :

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