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