hdu-2669

Posted 2020-07-03

http://acm.hdu.edu.cn/showproblem.php?pid=2669

Romantic

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 4235    Accepted Submission(s): 1771

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

 

扩展欧几里得模板题

 1 #include<iostream>
 2 #include<cstdio>
 3 using namespace std;
 4 #define ll __int64
 5 
 6 ll x, y;
 7 ll exgcd(ll a, ll b){
 8     if(b == 0){
 9         x = 1;
10         y = 0;
11         return a;
12     }
13     ll d = exgcd(b, a%b);
14     ll t = x;
15     x = y;
16     y = t-a/b*y;
17     return d;
18 }
19 
20 int main(){
21     ll a, b;
22     while(~scanf("%I64d%I64d",&a,&b)){
23         //cout<<a<<b<<endl;
24         //ll g = 0;
25         ll g = exgcd(a, b);
26         if(g == 1){
27             while(x < 0){
28                 x += b;
29                 y -= a;
30             }
31             printf("%I64d %I64d\n",x,y);
32         }
33         else
34             printf("sorry\n");
35     }
36     return 0;
37 }