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(15, 10) :

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	15		10	1	0	0	1
1	10	↔	15	0	1	1	0	5						5	10	16	5	8
2	5	↔	15	5	8	1	0	10	1	6	8	6	8	5	Even	Even	3	4
3	5		5	3	4	5	8	0
4	5		5	3	4	5	8	0
5	5		5	3	4	5	8	0
6	5		5	3	4	5	8	0
7	5		5	3	4	5	8	0
(3)(15) - (4)(10) = 5