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(0, 7) :

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	0		7	1	0	0	1
1	0		7	1	0	0	1	7
2	0		7	1	0	0	1	7
3	0		7	1	0	0	1	7
4	0		7	1	0	0	1	7
5	0		7	1	0	0	1	7
6	0		7	1	0	0	1	7
7	7	↔	0	0	1	1	0	7
GCD = 7; P, Q Prohibited (X = 0, so Q is negative)