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(0, 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 0 11 1 0 0 1
1 0 11 1 0 0 1 11
2 0 11 1 0 0 1 11
3 0 11 1 0 0 1 11
4 0 11 1 0 0 1 11
5 0 11 1 0 0 1 11
6 0 11 1 0 0 1 11
7 11 ↔ 0 0 1 1 0 11
GCD = 11; P, Q Prohibited (X = 0, so Q is negative)