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(12, 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	12		1	1	0	0	1
1	12		1	1	0	0	1	11						6	2	12	1	6
2	6		1	1	6	0	1	5						3	2	18	1	9
3	3		1	1	9	0	1	2	0	1	10	1	10	1	2	22	1	11
4	1		1	1	11	0	1	0
5	1		1	1	11	0	1	0
6	1		1	1	11	0	1	0
7	1		1	1	11	0	1	0
(1)(12) - (11)(1) = 1