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Cod sursa(job #397666)
#include<cstdio>
long long a,n;
void eucl(long long a,long long b,long long &x,long long &y,long long &d)
{
if(b==0)
{
x=1; y=0; d=a;
return;
}
long long x1,y1;
eucl(b,a%b,x1,y1,d);
x=y1; y=x1-(a/b)*y1;
}
int main()
{
freopen("inversmodular.in","r",stdin);
freopen("inversmodular.out","w",stdout);
scanf("%lld%lld",&a,&n);
long long x,y,d;
eucl(a,n,x,y,d);
if(x<=0)
{
printf("%lld",n+(x%n));
return 0;
}
printf("%lld",x%n);
return 0;
}