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(3, 13) :

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	3		13	1	0	0	1
1	3		13	1	0	0	1	10	1	1	1	1	1	5	14	4	7	2
2	5	↔	3	7	2	1	0	2	0	8	2	8	2	1	Even	Even	4	1
3	1	↔	3	4	1	1	0	2	1	5	1	5	1	1	18	4	9	2
4	1		1	9	2	4	1	0
5	1		1	9	2	4	1	0
6	1		1	9	2	4	1	0
7	1		1	9	2	4	1	0
(9)(3) - (2)(13) = 1