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