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(11, 6) :
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
11
6
1
0
0
1
1
6
↔
11
0
1
1
0
5
3
6
12
3
6
2
3
↔
11
3
6
1
0
8
1
4
6
4
6
4
Even
Even
2
3
3
4
3
2
3
3
6
1
2
8
14
4
7
4
2
3
4
7
3
6
1
1
10
18
5
9
5
1
3
5
9
3
6
2
1
8
15
2
4
1
Even
Even
1
2
6
1
↔
1
1
2
5
9
0
7
1
1
5
9
1
2
0
(5)(11) - (9)(6) = 1