J - Romantic

Posted 2020-12-25 wzl19981116

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 Xa + Yb = 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

直接用拓展欧几里得,但是注意Find the nonnegative integer X and integer Y，f there are more answers than the X smaller one will be choosed.

#include<iostream>
#include<stdio.h>
#include<stdlib.h>
#include<cmath>
#include<string.h>
#include<algorithm>
#define sf scanf
#define pf printf
#define pb push_back
#define mm(a,b) memset((a),(b),sizeof(a))
#include<vector>
typedef __int64 ll;
typedef long double ld;
const ll mod=1e9+7;
using namespace std;
const double pi=acos(-1.0);
ll exgcd(ll a,ll b,ll &x,ll &y)//x,y在输入的时候不用定义
{
    int d, t;
    if(b==0)
    {
        x=1;
        y=0;
        return a;
    }else
    {
        d = exgcd(b, a % b,x,y);
        t = x - a / b * y;
        x = y;
        y = t;
        return d;    
    }
}
int main()
{
    ll a,b,r,x,y;
    while(~scanf("%I64d%I64d",&a,&b))
    {
        r=exgcd(a,b,x,y);
        if(r!=1)
        pf("sorry
");
        else
        {
            while(x<0)
            {
                x+=b;
                y-=a;
            }
            pf("%I64d %I64d
",x,y);
        }
        
    }
    return 0;
}