Submission #1027208

#	Time	Username	Problem	Language	Result	Execution time	Memory
1027208		Luvidi	Split the sequence (APIO14_sequence)	C++17	71 / 100	67 ms	131072 KiB

sequence

#include <bits/stdc++.h>
using namespace std;
 
#define ll long long
#define pll pair<ll, ll>
#define pii pair<int, int>
#define fs first
#define sc second
#define pb push_back
    
const int maxn=1e5,maxk=201;
ll dp[maxn+1][maxk+1],a[maxn+1],pre[maxn+1];
int bt[maxn+1][maxk+1],c;

void dnc(int l,int r,int opl,int opr){
    if(l>r)return;
    int m=(l+r)/2;
    pll best={-1e18,0};
    for(int i=opl;i<=opr&&i<m;i++){
        best=max(best,{dp[i][c-1]+pre[i]*(pre[m]-pre[i]),i});
    }
    dp[m][c]=best.fs;
    bt[m][c]=best.sc;
    dnc(l,m-1,opl,best.sc);
    dnc(m+1,r,best.sc,opr);
}
 
void solve() {
    int n,k;
    cin>>n>>k;
    k++;
    pre[0]=0;
    for(int i=1;i<=n;i++){
        cin>>a[i];
        pre[i]=pre[i-1]+a[i];
    }
    for(int i=0;i<=n;i++){
        for(int j=i+1;j<=k;j++)dp[i][j]=-1e18;
        if(i)dp[i][0]=-1e18;
    }
    for(c=1;c<=k;c++){
        dnc(1,n,0,n);
    }
    cout<<dp[n][k]<<'\n';
    int x=n;
    vector<int> v;
    for(int i=k;i>1;i--){
        x=bt[x][i];
        v.pb(x); 
    }
    reverse(v.begin(),v.end());
    for(int i:v)cout<<i<<' ';
}
 
int main() {   
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
 
    solve();
}

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