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(5, 13) :
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
5
13
1
0
0
1
1
5
13
1
0
0
1
8
1
1
1
1
1
4
14
6
7
3
2
4
↔
5
7
3
1
0
1
2
20
8
10
4
3
2
↔
5
10
4
1
0
3
1
Even
Even
5
2
4
1
↔
5
5
2
1
0
4
1
6
2
6
2
2
Even
Even
3
1
5
2
1
3
1
5
2
1
1
16
6
8
3
6
1
1
8
3
5
2
0
7
1
1
8
3
5
2
0
(8)(5) - (3)(13) = 1