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Cod sursa(job #24560)
#include<stdio.h>
#include<math.h>
#include<string.h>
#define MAXSIZE 100001
int n,nr;
int citire()
{
FILE *f=fopen("fractii.in","r");
fscanf(f,"%d",&n);
fclose(f);
return 1;
}
int p[MAXSIZE], prim[MAXSIZE];
float p2[MAXSIZE];
const int tryit(int m)
{
int j=0;
while(pow(m,j+1)<n) j++;
return j*(-1);
}
int tot(int m)
{
if(m==1) {p2[m]=n; return 1;}
int i,j,d=1;
memset(p,0,n*8);
for(i=2;i<=n;i++)
if(p[i]==0&&m%i==0)
{p[i]=1; for(j=i*i; j<=n; j+=i) p[j]=2; d++;}
if(d==1)
{
prim[m]=1;
p2[m]=n-1+tryit(m);
for(j=m*m;j<=n;j*=m)
p2[j]=p2[m];
}
else
{p2[m]=m;
for(i=2;i<=m;i++)
if(p[i]==1)
{
p2[m]=(float)p2[m]*(1-(float)1/i);
}
for(i=2;i<=n;i++)
if(p[i]==2)
++p2[m];
}
return 1;
}
int main(void)
{
int i;
FILE *f;
citire();
for(i=1;i<=n;i++)
{if(p2[i]==0) tot(i);
nr+=(int)p2[i];
}
f=fopen("fractii.out","w");
fprintf(f,"%d\n",nr);
fclose(f);
return 0;
}