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Cod sursa(job #310111)
#define maxn 1000002
#include<cstdio>
using namespace std;
long long a[maxn];
int main()
{
freopen("fractii.in","r",stdin);
freopen("fractii.out","w",stdout);
int i,n,j;
long long rez=0;
scanf("%d",&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;
}
rez+=a[i];
}
rez=rez<<1;
++rez;
printf("%lld\n",rez);
fclose(stdin);
fclose(stdout);
return 0;
}