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