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(14, 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
14
9
1
0
0
1
1
14
9
1
0
0
1
5
7
10
14
5
7
2
7
9
5
7
0
1
2
1
5
8
5
8
1
14
22
7
11
3
1
↔
7
7
11
5
7
6
1
12
18
3
4
3
12
18
6
9
4
3
1
6
9
7
11
2
0
13
20
4
6
1
Even
Even
2
3
5
1
1
2
3
7
11
0
6
1
1
2
3
7
11
0
7
1
1
2
3
7
11
0
(2)(14) - (3)(9) = 1