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Cod sursa(job #32530)
#include<stdio.h>
#include<math.h>
int nr[1000002],prim[100000];
int main(){
FILE*in=fopen("fractii.in","r");
FILE*out=fopen("fractii.out","w");
int n,i,j,pr,a;
fscanf(in,"%d",&n);
if(n==1){
fprintf(out,"1\n");
return 0;
}
if(n==2){
fprintf(out,"3\n");
return 0;
}
i=4;
while(i<=n){
nr[i]=1;
i=i+2;
}
for(i=3;i<=n+10;i=i+2){
pr=1;
if(nr[i]==0){
for(j=3;((j*j<=i)&&(pr));j=j+2){
if(i%j==0)
pr=0;
}
if(pr){
j=i+i;
while(j<=n){
nr[j]=1;
j=j+i;
}
}
}
}
prim[0]=2;
j=1;
for(i=3;i<=n+10;i=i+2){
if(nr[i]==0){
prim[j]=i;
j++;
}
}
i=0;
long long s;
if(n%2==0)
s=n+n/2;
if(n%2==1)
s=n+n/2+1;
for(i=3;i<=n;i++){
for(j=0;j<=n;j++)
nr[j]=0;
pr=1;
j=0;
while(prim[j]<i){
if(i%prim[j]==0){
a=prim[j];
while(a<=n){
nr[a]=1;
a=a+prim[j];
}
pr=0;
}
j++;
}
if(pr==1)
s=s+n-(n/prim[j]);
else{
for(a=1;a<=n;a++){
if(nr[a]==0)
s++;
}
}
}
fprintf(out,"%d\n",s);
fclose(in);
fclose(out);
return 0;
}