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- #include <bits/stdc++.h>
- using namespace std;
- #define ll long long
- #define test int t; cin>>t; for(int cs=1;cs<=t;cs++)
- #define maX 46350
- bool marked[maX];
- vector<ll>prime;
- void sieve()
- {
- marked[0]=1;
- marked[1]=1;
- for(ll i=4; i<=maX; i+=2)
- {
- marked[i]=1;
- }
- for(ll i=3; i<=maX; i+=2)
- {
- if(marked[i]==0)
- {
- for(ll j=i*i; j<=maX; j+=i+i)
- {
- marked[j]=1;
- }
- }
- }
- prime.push_back(2);
- for(ll i=3; i<=maX; i+=2)
- {
- if(marked[i]==0)
- {
- prime.push_back(i);
- }
- }
- }
- void segmented_sieve(ll l,ll r)
- {
- bool mark[r-l+1]= {0};
- ll base,cp,i,j,cnt=0;
- if(l==1) mark[0]=1;
- for(i=0; prime[i]*prime[i]<=r; i++)
- {
- cp=prime[i];
- base=cp*cp;
- if(base<l)
- {
- base=((l+cp-1)/cp)*cp;
- }
- for(j=base; j<=r; j+=cp)
- {
- mark[j-l]=1;
- }
- }
- for(i=0; i<=r-l; i++)
- {
- if(mark[i]==0)
- {
- cnt++;
- }
- }
- cout<<cnt<<endl;
- }
- int main()
- {
- ios_base::sync_with_stdio(0);
- cin.tie(0);
- cout.tie(0);
- sieve();
- test
- {
- ll r,l;
- cin>>l>>r;
- cout<<"Case "<<cs<<": ";
- segmented_sieve(l,r);
- }
- return 0;
- }
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