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(12, 10) → Twos = 1 → Ext-GCD(6, 5) :

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	6		5	1	0	0	1
1	6		5	1	0	0	1	1						3	6	6	3	3
2	3		5	3	3	0	1	2	1	3	4	3	4	1	8	10	4	5
3	1	↔	3	4	5	3	3	2	1	7	8	2	2	1	Even	Even	1	1
4	1		1	1	1	4	5	0
5	1		1	1	1	4	5	0
6	1		1	1	1	4	5	0
7	1		1	1	1	4	5	0
(1)(12) - (1)(10) = 2