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Cod sursa(job #223529)
#include<stdio.h>
#define N 1000000
int e[N];
int main()
{
long long n,i,j,s;
freopen("fractii.in","r",stdin);
freopen("fractii.out","w",stdout);
scanf("%lld",&n);
for(j=2;j<=n;j++)
e[j]=j;
for(i=2;i<=n;i++)
{
if (e[i]==i)
for(j=i*i;j<=n;j+=i)
e[j]=e[j]/i*(i-1);
}
s=0;
for(i=2;i<=n;i++)
s=s+2*e[i];
s=s+1;
printf("%lld\n",s);
return 0;
}