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Cod sursa(job #821560)
#include<stdio.h>
long f[1000005];
int main()
{
freopen("fractii.in","r",stdin);
freopen("fractii.out","w",stdout);
long n,i,j;
long long s=0;
scanf("%ld",&n);
for(i=1;i<=n;++i)
f[i]=i;
for(i=2;i<=n;++i)
if(f[i]==i)
for(j=i;j<=n;j+=i)
f[j]=f[j]/i*(i-1);
for(i=2;i<=n;++i)
s+=f[i];
s=2*s+1;
printf("%I64d\n",s);
return 0;
}