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Cod sursa(job #527821)
#include <cstdio>
using namespace std;
const int N=1<<20;
int e[N];
int main()
{
freopen("fractii.in","r",stdin);
freopen("fractii.out","w",stdout);
int i,j,n;
long long nr=0;
scanf("%d",&n);
for(i=2;i<=n;++i)
e[i]=i;
for(i=2;i<=n;i++)
if(e[i]==i)
for(j=i;j<=n;j+=i)
e[j]=e[j]/i*(i-1);
for(i=1;i<=n;i++)
nr+=e[i];
printf("%lld\n",(nr*2)+1);
return 0;
}