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, 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	13		7	1	0	0	1
1	13		7	1	0	0	1	6	0	1	1	1	1	3	8	14	4	7
2	3		7	4	7	0	1	4	1	4	8	4	8	2	Even	Even	2	4
3	2	↔	3	2	4	4	7	1						1	Even	Even	1	2
4	1	↔	3	1	2	4	7	2	1	5	9	5	9	1	12	22	6	11
5	1		1	6	11	1	2	0
6	1		1	6	11	1	2	0
7	1		1	6	11	1	2	0
(6)(13) - (11)(7) = 1