oj.uz

Submission #956152

# Submission time Handle Problem Language Result Execution time Memory
956152 2024-04-01T08:00:28 Z Aiperiii Building Bridges (CEOI17_building) C++14
100 / 100
 89 ms 37072 KB 
#include <bits/stdc++.h>
#define int long long
#define ff first
#define ss second
#define pb push_back
#define all(x) x.begin(),x.end()
using namespace std;
const int N=1e6+5;
pair <int,int> t[N*4];
void build(int v,int tl,int tr){
    t[v]={1e9,1e18};
    if(tl!=tr){
        int tm=(tl+tr)/2;
        build(v*2,tl,tm);
        build(v*2+1,tm+1,tr);
    }
}
int f(int m,int x,int c){
    return m*x+c;
}
int get(int v,int tl,int tr,int x){
    if(tl==tr)return f(t[v].ff,x,t[v].ss);
    int tm=(tl+tr)/2;
    if(x<=tm)return min(f(t[v].ff,x,t[v].ss),get(v*2,tl,tm,x));
    else return min(f(t[v].ff,x,t[v].ss),get(v*2+1,tm+1,tr,x));
}
void insert(int v,int tl,int tr,int m,int c){
    if(tl==tr){
        if(f(t[v].ff,tl,t[v].ss)>=f(m,tl,c))t[v]={m,c};
    }
    else{
        int tm=(tl+tr)/2;
        if(t[v].ff>m){
            swap(t[v].ff,m);
            swap(t[v].ss,c);
        }
        if(f(t[v].ff,tm,t[v].ss)<=f(m,tm,c)){
            insert(v*2,tl,tm,m,c);
        }
        else{
            insert(v*2+1,tm+1,tr,t[v].ff,t[v].ss);
            t[v]={m,c};
        }
    }
}
signed main(){
    int n;
    cin>>n;
    vector <int> h(n+1),w(n+1),dp(n+1);
    for(int i=1;i<=n;i++)cin>>h[i];
    int sum=0;
    for(int i=1;i<=n;i++){
        cin>>w[i];
        sum+=w[i];
    }
    build(1,1,1e6);
    insert(1,1,1e6,-2*h[1],-w[1]+h[1]*h[1]);
    for(int i=2;i<=n;i++){
        dp[i]=get(1,1,1e6,h[i])+h[i]*h[i]-w[i];
        insert(1,1,1e6,-2*h[i],dp[i]+h[i]*h[i]);
    }
    cout<<dp[n]+sum<<"\n";
}
/*

 */

Subtask #1
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 33368 KB Output is correct
2 Correct 6 ms 33332 KB Output is correct
3 Correct 6 ms 33372 KB Output is correct
4 Correct 7 ms 33372 KB Output is correct
5 Correct 7 ms 33272 KB Output is correct

Subtask #2
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 76 ms 36068 KB Output is correct
2 Correct 70 ms 35664 KB Output is correct
3 Correct 83 ms 35668 KB Output is correct
4 Correct 66 ms 35664 KB Output is correct
5 Correct 59 ms 35572 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 33368 KB Output is correct
2 Correct 6 ms 33332 KB Output is correct
3 Correct 6 ms 33372 KB Output is correct
4 Correct 7 ms 33372 KB Output is correct
5 Correct 7 ms 33272 KB Output is correct
6 Correct 76 ms 36068 KB Output is correct
7 Correct 70 ms 35664 KB Output is correct
8 Correct 83 ms 35668 KB Output is correct
9 Correct 66 ms 35664 KB Output is correct
10 Correct 59 ms 35572 KB Output is correct
11 Correct 79 ms 37000 KB Output is correct
12 Correct 71 ms 36692 KB Output is correct
13 Correct 70 ms 36832 KB Output is correct
14 Correct 89 ms 36824 KB Output is correct
15 Correct 57 ms 36672 KB Output is correct
16 Correct 58 ms 36688 KB Output is correct
17 Correct 53 ms 36824 KB Output is correct
18 Correct 53 ms 37072 KB Output is correct