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Cod sursa(job #53151)
#include <iostream>
#include <fstream>
#include <math.h>
using namespace std;
ifstream in("fractii.in");
ofstream out("fractii.out");
int n;
long long pr[78500];
void prime()
{
char a[1000000] = {0};
int cnt = 1;
int p = sqrt(n)+1;
pr[0] = 2;
for ( int i = 3; i <= n; i += 2 )
{
if ( a[i] == 0 )
{
pr[cnt++] = i;
if ( i <= p )
{
for ( int j = (i<<1); j <= n; j += i )
a[j] = 1;
}
}
}
}
long long tot(int x)
{
double res = x;
for ( int i = 0; i <= x; ++i )
if ( pr[i] != 0 )
{
if ( x % pr[i] == 0 )
res = res * (1.0-(1.0/pr[i]));
}
else
break;
return ceil(res);
}
int main()
{
in >> n;
prime();
long long sol = 0;
for ( int i = 2; i <= n; ++i )
{
sol += tot(i);
//cout << tot(i) << " " << i << endl;
}
sol = sol*2 + 1;
out << sol << endl;
return 0;
}