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, 2) :

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		2	1	0	0	1
1	2	↔	13	0	1	1	0	11						1	2	14	1	7
2	1	↔	13	1	7	1	0	12	1	2	7	2	7	6	4	20	2	10
3	6		1	2	10	1	7	5						3	Even	Even	1	5
4	3		1	1	5	1	7	2	0	2	12	2	12	1	Even	Even	1	6
5	1		1	1	6	1	7	0
6	1		1	1	6	1	7	0
7	1		1	1	6	1	7	0
(1)(13) - (6)(2) = 1