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(15, 1) :

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	15		1	1	0	0	1
1	15		1	1	0	0	1	14	0	1	1	1	1	7	2	16	1	8
2	7		1	1	8	0	1	6	0	1	9	1	9	3	2	24	1	12
3	3		1	1	12	0	1	2	0	1	13	1	13	1	2	28	1	14
4	1		1	1	14	0	1	0
5	1		1	1	14	0	1	0
6	1		1	1	14	0	1	0
7	1		1	1	14	0	1	0
(1)(15) - (14)(1) = 1