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Cod sursa(job #172538)
#include<fstream>
//#include<iostream>
using namespace std;
long a[20];
int ciur[1000001];
void gen_ciur(long n)
{
memset(ciur, 0, sizeof(ciur));
ciur[1]=1;
for(long i=4;i<=n;i=i+2)
ciur[i]=1;
for(long i=3;i<=n;i=i+2)
{
int k=i;
while((k=k+i)<=n)
ciur[k]=1;
}
}
long nrelem(long n, long a[20], int m)
{
long s=0;
for(long i=1;i<(1<<m);i++)
{
long p=1,nr=0, t=i, c;
for(int j=1;j<=m;j++)
{
c=1 & t;
t=t>>1;
if(c)
p=p*a[j];
nr+=c;
}
if(nr%2==1)
s+=n/p;
else
s-=n/p;
}
return n-s;
}
long fracnum(long x, long n)
{
long d=2;
int m=0;
if(ciur[x]==1)
while(x>1)
{
if(x%d==0)
{
a[++m]=d;
while(x%d==0)
x/=d;
}
d++;
}
else
a[m=1]=x;
return nrelem(n,a,m);
}
int main()
{
ifstream f("fractii.in");
ofstream g("fractii.out");
long n;
f>>n;
gen_ciur(n);
//cout<<"generat ciur"<<endl;
long long s=1L;
for(int i=n;i>=2;i--)
{
s+=fracnum(i,i);
//if(i%10000==0)
//cout<<i<<endl;
}
g<<2*s-1;
//cout<<2*s-1;
f.close();
g.close();
return 0;
}