Submission #718852

#	Time	Username	Problem	Language	Result	Execution time	Memory
718852		irmuun	Split the sequence (APIO14_sequence)	C++17	50 / 100	2090 ms	32584 KiB

sequence

#include<bits/stdc++.h>
 
using namespace std;
 
#define pb push_back
#define ll long long
#define ff first
#define ss second
#define all(s) s.begin(),s.end()
 
int main(){
    ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
    ll n,k;
    cin>>n>>k;
    ll a[n+5];
    for(ll i=1;i<=n;i++){
        cin>>a[i];
    }
    ll dp[n+5][k+5];
    for(ll i=0;i<=n;i++){
        fill(dp[i],dp[i]+k+2,0);
    }
    ll sum[n+5];
    sum[0]=0;
    for(ll i=1;i<=n;i++){
        sum[i]=sum[i-1]+a[i];
    }
    sum[n+1]=sum[n];
    ll bef[n+5][k+5];
    for(ll j=1;j<=k+1;j++){
        for(ll i=1;i<=n;i++){
            //cout<<"CURRENT "<<i<<' '<<j<<"\n";
            dp[i][j]=-1;
            bef[i][j]=1;
            for(ll l=0;l<i;l++){
                //cout<<l<<' '<<j-1<<' '<<(sum[i]-sum[l])*(sum[n]-sum[i])<<"\n";
                if(dp[l][j-1]+(sum[i]-sum[l])*(sum[n]-sum[i])>=dp[i][j]){
                    dp[i][j]=dp[l][j-1]+(sum[i]-sum[l])*(sum[n]-sum[i]);
                    bef[i][j]=l;
                }
            }
            if(bef[i][j]==0) bef[i][j]=1;
            dp[i][j]=max(dp[i][j],0ll);
        }
    }
    cout<<dp[n][k+1]<<"\n";
    ll cur=n;
    vector<ll>v;
    for(ll i=k;i>=1;i--){
        cur=bef[cur][i+1];
        v.pb(cur);
    }
    for(ll i=v.size()-1;i>=0;i--){
        cout<<v[i]<<' ';
    }
}

• Subtask 1: 11 / 11
• Subtask 2: 11 / 11
• Subtask 3: 11 / 11
• Subtask 4: 17 / 17
• Subtask 5: 0 / 21
• Subtask 6: 0 / 29