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Cod sursa(job #991487)
#include <cstdio>
using namespace std;
void invers_modular(long long a,long long b,long long &x,long long &y)
{
if(!b)
{
x=1;y=0;
}
else
{
long long x0,y0;
invers_modular(b,a%b,x0,y0);
x=y0;
y = x0 - (a / b) * y0;
}
}
int main()
{
freopen("inversmodular.in","r",stdin);
freopen("inversmodular.out","w",stdout);
long long a,n,x,y;
scanf("%lld%lld",&a,&n);
invers_modular(a,n,x,y);
if(x<=0) x+=n;
printf("%lld\n",x);
return 0;
}