Hints : Implement, Segmented Sieve Algorithm To Generate Prime Numbers. Here is a tutorial for segmented sieve. Bangla Tutorial Link: https://www.shawonruet.com/2016/10/segmented-sieve.html
#include <bits/stdc++.h>
using namespace std;
#define n 100005
vector<long long int>s,sg,segment;
long long int p[n],k=1,size;
bool a[n];
long long int prime()
{
long long i,j;
a[0]=a[1]=1;
for(i=4;i<=n;i=i+2)
{
a[i]=1;
}
for(i=3;i<=sqrt(n);i=i+2)
{
for(j=i*i;j<=n;j=j+2*i)
{
a[j]=1;
}
}
p[0]=2;
for(i=3;i<=n;i=i+2)
{
if(a[i]==0)
{
p[k]=i;
//cout<<p[k]<<endl;
k++;
}
}
}
void segmented_sieve(long long int l,long long int u)
{
long long int root,start,i,j,si;
sg.clear();
root=sqrt(u)+1;
for(i=l;i<=u;i++)
{
sg.push_back(i);
}
if(l==0)
{
sg[1]=0;
}
else if(l==1)
{
sg[0]=0;
}
for(i=0;p[i]<=root;i++)
{
si=p[i];
start=si*si;
if(start<l)
{
start=((l+si-1)/si)*si;
}
for(j=start;j<=u;j=j+si)
{
sg[j-l]=0;
}
}
}
int main()
{
long long int m,g,c,r,t,l,h,u,w,tc,tx,i,j,st;
//freopen("1197in.txt","r",stdin);
//freopen("1197out.txt","w",stdout);
prime();
cin>>tc;
for(tx=1;tx<=tc;tx++)
{
cin>>l>>u;
segmented_sieve(l,u);
for(i=l;i<=u;i++)
{
if(sg[i-l]!=0)
{
segment.push_back(sg[i-l]);
}
}
st=segment.size();
printf("Case %lld: %lld\n",tx,st);
segment.clear();
sg.clear();
}
return 0;
}
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