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(8, 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	8		7	1	0	0	1
1	8		7	1	0	0	1	1						4	8	8	4	4
2	4		7	4	4	0	1	3						2	Even	Even	2	2
3	2		7	2	2	0	1	5						1	Even	Even	1	1
4	1		7	1	1	0	1	6	1	1	2	1	2	3	8	10	4	5
5	3	↔	1	4	5	1	1	2	0	5	6	5	6	1	12	14	6	7
6	1	↔	1	6	7	1	1	0
7	1		1	1	1	6	7	0
(1)(8) - (1)(7) = 1