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Cod sursa(job #316014)
#include<cstdio>
#define maxn 1000005
using namespace std;
typedef long long ll;
ll a[maxn],i,j,n,k;
int main()
{
freopen("fractii.in","r",stdin);
freopen("fractii.out","w",stdout);
scanf("%lld",&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-1)/i;
k+=a[i]*2;
}
++k;
printf("%lld\n",k);
fclose(stdin);
fclose(stdout);
return 0;
}