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Cod sursa(job #326241)
#include<cstdio>
void euclid(int a,int b,int &d,int &x,int &y)
{
if(b==0)
{
x=1;
y=0;
d=a;
return;
}
int xx,yy,q=a/b;
euclid(b,a%b,d,xx,yy);
x=yy;
y=xx-q*yy;
}
inline int prel(int x,int n)
{
return x%n >= 0 ? x%n : n+x%n;
}
int main()
{
freopen("inversmodular.in","r",stdin);
freopen("inversmodular.out","w",stdout);
int a,n,x,y,d;
scanf("%d%d",&a,&n);
euclid(a,n,d,x,y);
printf("%d\n",prel(x,n));
return 0;
}