# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
526484 | pvviet001 | Schools (IZhO13_school) | C++14 | 104 ms | 17400 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/* Author : Mohamed Ahmed Bakry (handle : MohamedAhmed04)
contest name : IZhO 2013 day 1
problem name : Schools (IZhO 13-School)
problem link : https://oj.uz/problem/view/IZhO13_school
Problem's solution :
- sort the numbers according to difference between M[i] and S[i]
- let pref[i] = sum of highest m of value M[i] from index 0 to i
and suff[i] = sum of highest s of value S[i] from index n-1 to i
- answer is max(pref[i] + suff[i+1]) for all 0 <= i <= n-1
*/
#include <bits/stdc++.h>
using namespace std ;
const int MAX = 300000 + 10 ;
long long M[MAX] , S[MAX] ;
long long prefM[MAX] , suffS[MAX] ;
int n , m , s ;
int main()
{
ios_base::sync_with_stdio(0) ;
cin.tie(0) ;
cin>>n>>m>>s ;
vector< pair<int , int> >vp ;
for(int i = 0 ; i < n ; ++i)
{
cin>>M[i]>>S[i] ;
vp.push_back({M[i]-S[i] , i}) ;
}
sort(vp.rbegin() , vp.rend()) ;
priority_queue< long long , vector<long long> , greater<long long> >q ;
long long sum = 0 ;
for(int i = 0 ; i < n ; ++i)
{
int idx = vp[i].second ;
if(q.size() < m)
{
sum += M[idx] ;
q.push(M[idx]) ;
}
else if(q.top() < M[idx])
{
sum -= q.top() ;
q.pop() ;
sum += M[idx] ;
q.push(M[idx]) ;
}
prefM[i] = sum ;
}
while(q.size() > 0)
q.pop() ;
sum = 0 ;
for(int i = n-1 ; i >= 0 ; --i)
{
int idx = vp[i].second ;
if(q.size() < s)
{
sum += S[idx] ;
q.push(S[idx]) ;
}
else if(q.top() < S[idx])
{
sum -= q.top() ;
q.pop() ;
sum += S[idx] ;
q.push(S[idx]) ;
}
suffS[i] = sum ;
}
long long ans = suffS[0] ;
for(int i = 0 ; i < n ; ++i)
ans = max(ans , prefM[i] + suffS[i+1]) ;
return cout<<ans<<"\n" , 0 ;
}
Compilation message (stderr)
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