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(9, 10) :

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	9		10	1	0	0	1
1	10	↔	9	0	1	1	0	1						5	10	10	5	5
2	5	↔	9	5	5	1	0	4	1	6	5	6	5	2	16	14	8	7
3	2		5	8	7	5	5	3						1	18	16	9	8
4	1		5	9	8	5	5	4	1	14	13	4	4	2	Even	Even	2	2
5	2	↔	1	2	2	9	8	1						1	Even	Even	1	1
6	1	↔	1	1	1	9	8	0
7	1		1	9	8	1	1	0
(9)(9) - (8)(10) = 1