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, 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	13		1	1	0	0	1
1	13		1	1	0	0	1	12	0	1	1	1	1	6	2	14	1	7
2	6		1	1	7	0	1	5						3	2	20	1	10
3	3		1	1	10	0	1	2	0	1	11	1	11	1	2	24	1	12
4	1		1	1	12	0	1	0
5	1		1	1	12	0	1	0
6	1		1	1	12	0	1	0
7	1		1	1	12	0	1	0
(1)(13) - (12)(1) = 1