Files
OI-source/8.2818.cpp
2023-08-03 09:22:52 +08:00

31 lines
611 B
C++

#include<cstdio>
#include<algorithm>
using namespace std;
typedef long long LL;
const int maxn=1e7+5;
int n,p[maxn],v[maxn],phi[maxn],cnt;
LL s[maxn];
int main()
{
#ifdef local
freopen("pro.in","r",stdin);
#endif
scanf("%d",&n);
for(int i=1;i<=n;i++) v[i]=i;
phi[1]=1;
for(int i=2;i<=n;i++)
{
if(v[i]==i) { p[cnt++]=i; phi[i]=i-1; }
for(int j=0;j<cnt&&(LL)p[j]*i<=n&&p[j]<=v[i];j++)
{
v[p[j]*i]=p[j];
phi[p[j]*i]=phi[i]*(p[j]<v[i]?p[j]-1:p[j]);
}
}
for(int i=1;i<=n;i++) s[i]=s[i-1]+phi[i];
long long res=0;
for(int i=0;i<cnt;i++) res+=2*s[n/p[i]]-1;
printf("%lld\n",res);
return 0;
}