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, 5) :

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