hdu 2669 Romantic (乘法逆元)

Romantic

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 2835    Accepted Submission(s): 1117

Problem Description

The Sky is Sprite.
The Birds is Fly in the Sky.
The Wind is Wonderful.
Blew Throw the Trees
Trees are Shaking, Leaves are Falling.
Lovers Walk passing, and so are You. 
................................Write in English class by yifenfei

 

Girls are clever and bright. In HDU every girl like math. Every girl like to solve math problem!
Now tell you two nonnegative integer a and b. Find the nonnegative integer X and integer Y to satisfy X*a + Y*b = 1. If no such answer print "sorry" instead.

 

 

Input

The input contains multiple test cases.
Each case two nonnegative integer a,b (0<a, b<=2^31)

 

 

Output

output nonnegative integer X and integer Y, if there are more answers than the X smaller one will be choosed. If no answer put "sorry" instead. 

 

 

Sample Input

77 51

10 44

34 79

 

 

 

Sample Output

2 -3

sorry

7 -3

 

 

Author

yifenfei

 

 

Source

HDU女生专场公开赛——谁说女子不如男

 

 

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WA了几次，郁闷。乘法逆元模板题。注意x要为正数。

 

//15MS    248K    584 B    C++
#include<stdio.h>
__int64 extend_euclid(__int64 a,__int64 b,__int64 &x,__int64 &y)
{
    if(b==0){
        x=1;y=0;
        return a;
    }
    __int64 ans=extend_euclid(b,a%b,x,y);
    __int64 temp=x;
    x=y;
    y=temp-a/b*y;
    return ans;
}
int main(void)
{
    __int64 a,b,x,y;
    while(scanf("%I64d%I64d",&a,&b)!=EOF)
    {
        __int64 flag=extend_euclid(a,b,x,y);
        if(flag==1){
            while(x<0){
                x+=b;y-=a;
            }
            printf("%I64d %I64d\n",x,y);
        }else puts("sorry");
    }
    return 0;
}