Submission #1031355

# Submission time Handle Problem Language Result Execution time Memory
1031355 2024-07-22T18:28:36 Z Aiperiii Building Bridges (CEOI17_building) C++14
0 / 100
62 ms 36572 KB
#include <bits/stdc++.h>
#define int long long
#define all(x) x.begin(),x.end()
#define ff first
#define ss second
#define pb push_back
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);
    else{
        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(){
    ios_base::sync_with_stdio();
    cin.tie(0);cout.tie(0);
    int n;
    cin>>n;
    vector <int> h(n+1),w(n+1),dp(n+1);
    int sum=0;
    for(int i=1;i<=n;i++){
        cin>>h[i];
    }
    for(int i=1;i<=n;i++){
        cin>>w[i];
        sum+=w[i];
    }
    build(1,1,1e6);
    dp[1]=-w[1];
    insert(1,1,1e6,-2*h[1],h[1]*h[1]+dp[1]);
    for(int i=1;i<=n;i++){
        dp[i]=get(1,1,1e6,h[i])+h[i]*h[i]-w[i];
        //cout<<dp[i]<<" ";
        insert(1,1,1e6,-2*h[i],dp[i]+h[i]*h[i]);
    }
    cout<<dp[n]+sum;
}
/*
 6
 3 8 7 1 6 6
 0 -1 9 1 2 0
 */
# Verdict Execution time Memory Grader output
1 Incorrect 14 ms 33116 KB Output isn't correct
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 62 ms 36436 KB Output is correct
2 Correct 61 ms 36572 KB Output is correct
3 Correct 62 ms 36432 KB Output is correct
4 Incorrect 58 ms 36440 KB Output isn't correct
5 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 14 ms 33116 KB Output isn't correct
2 Halted 0 ms 0 KB -