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(6, 2) → Twos = 1 → Ext-GCD(3, 1) :

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 1 1 0 0 1
1 3 1 1 0 0 1 2 0 1 1 1 1 1 2 4 1 2
2 1 1 1 2 0 1 0
3 1 1 1 2 0 1 0
4 1 1 1 2 0 1 0
5 1 1 1 2 0 1 0
6 1 1 1 2 0 1 0
7 1 1 1 2 0 1 0
(1)(6) - (2)(2) = 2