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Cod sursa(job #761645)
#include <cstdio>
#include <cmath>
long long SUM;
int N;
int primes[1000001];
int p[100000];
int nr_primes;
int fis[1000001];
void phi()
{
for(int i = 1; i <= N; i = i +1)
fis[i] = i - 1;
for(int i = 2; i <= N; i = i + 1)
for(int j = 2 * i ; j <= N; j = j + i)
fis[j] = fis[j] - fis[i];
}
int fi(int n)
{
if (primes[n] == 0)
{
return n - 1;
}
int result = n;
for(int i = 0; p[i] * p[i] <= n; i++)
{
if (n % p[i] == 0) result -= result / p[i];
while (n % p[i] == 0) n /= p[i];
}
if (n > 1) result -= result / n;
return result;
}
void check_primes()
{
p[nr_primes] = 2;
nr_primes++;
for(int i = 4; i <= N; i+=2)
{
primes[i] = 1;
}
for(int i = 3; i <= N; i+=2)
{
if(primes[i] == 0)
{
p[nr_primes] = i;
nr_primes++;
for(int j = 2*i; j <= N; j+=i)
{
primes[j] = 1;
}
}
}
}
int main()
{
freopen("fractii.in", "r", stdin);
freopen("fractii.out", "w", stdout);
scanf("%d", &N);
phi();
for (int i = 2; i <= N; i++)
{
SUM += fis[i];
}
SUM = 2 * SUM + 1;
printf("%lld\n", SUM);
return 0;
}