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, 7) :

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		7	1	0	0	1
1	15		7	1	0	0	1	8	0	1	1	1	1	4	8	16	4	8
2	4		7	4	8	0	1	3						2	Even	Even	2	4
3	2		7	2	4	0	1	5						1	Even	Even	1	2
4	1		7	1	2	0	1	6	1	1	3	1	3	3	8	18	4	9
5	3	↔	1	4	9	1	2	2	0	5	11	5	11	1	12	26	6	13
6	1	↔	1	6	13	1	2	0
7	1		1	1	2	6	13	0
(1)(15) - (2)(7) = 1