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(6, 10) → Twos = 1 → Ext-GCD(3, 5) :
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
5
1
0
0
1
1
3
5
1
0
0
1
2
1
1
1
1
1
1
6
4
3
2
2
1
↔
3
3
2
1
0
2
1
4
2
4
2
1
Even
Even
2
1
3
1
1
2
1
3
2
0
4
1
1
2
1
3
2
0
5
1
1
2
1
3
2
0
6
1
1
2
1
3
2
0
7
1
1
2
1
3
2
0
(2)(6) - (1)(10) = 2