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Cod sursa(job #761623)
#include <cstdio>
#include <cmath>
int N, SUM;
int primes[1000001];
int p[300000];
int nr_primes;
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 pow(int x, int y)
{
if (y == 0)
{
return 1;
}
if (y == 1)
{
return x;
}
if (y % 2 == 0)
{
return pow(x, y / 2) * pow(x, y / 2);
}
return pow(x, y / 2) * pow(x, y / 2) * x;
}
int euler(int x)
{
if (x == 1)
{
return 1;
}
if (primes[x] == 0)
{
return x - 1;
}
int PRODUCT = 1;
int current = 0;
while(x > 1)
{
if (x % p[current] == 0)
{
int count = 0;
while (x % p[current] == 0)
{
x /= p[current];
count++;
}
PRODUCT = PRODUCT * (p[current] - 1) * pow(p[current], count - 1);
}
current++;
}
return PRODUCT;
}
int main()
{
freopen("fractii.in", "r", stdin);
freopen("fractii.out", "w", stdout);
scanf("%d", &N);
check_primes();
SUM = 1; // FOR CASE: 1 / 1
for (int i = 2; i <= N; i++)
{
SUM += 2 * euler(i);
//printf("%d\n", i);
}
printf("%d\n", SUM);
return 0;
}