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(13, 6) :

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	13		6	1	0	0	1
1	6	↔	13	0	1	1	0	7						3	6	14	3	7
2	3	↔	13	3	7	1	0	10	1	4	7	4	7	5	10	20	5	10
3	5		3	5	10	3	7	2	0	8	17	2	4	1	Even	Even	1	2
4	1		3	1	2	3	7	2	1	4	9	4	9	1	10	22	5	11
5	1	↔	1	5	11	1	2	0
6	1	↔	1	5	11	1	2	0
7	1		1	1	2	5	11	0
(1)(13) - (2)(6) = 1