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Cod sursa(job #582749)
#include<cstdio>
#define Nmax 1000003
#define I64 long long
using namespace std;
long a[Nmax];
I64 rez;
int main()
{
long i,n,j;
freopen("fractii.in","r",stdin);
freopen("fractii.out","w",stdout);
scanf("%ld",&n);
for(i=1;i<=n;i++)
a[i]=i;
for(i=2;i<=n;i++)
if(a[i]==i)
for(j=i;j<=n;j+=i)
a[j]=a[j]/i*(i-1);
for(i=2;i<=n;++i)
rez=rez+a[i];
printf("%I64d\n",2*rez+1);
return 0;
}