Submission #314801

#	Time	Username	Problem	Language	Result	Execution time	Memory
314801		noob_c0de	Split the sequence (APIO14_sequence)	C++17	50 / 100	251 ms	11512 KiB

sequence

#include<bits/stdc++.h>
using namespace std;
#define int long long
#define ar array
#define db double
const int mxn=3002,INF=2e18;
int n,k;
int a[mxn];
int pref[mxn];
int dp[mxn][mxn];
int track[mxn][mxn];
signed main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0); cout.tie(0);
 //   freopen("sequence.in","r",stdin);
 //   freopen("sequence.out","w",stdout);
    cin>>n>>k;
    for (int i=1;i<=n;i++)
    {
        cin>>a[i];
        pref[i]=pref[i-1]+a[i];
    }
    int sum=pref[n];
    for (int i=0; i<=n; i++)
        for (int j=0; j<=k+1; j++) dp[i][j]=INF;
    for (int i=1; i<=n; i++) dp[i][1]=pref[i]*pref[i];
    for (int i=2;i<=n;i++)
    {
        for (int j=2;j<=k+1;j++)
        {
            for (int i2=1; i2<i; i2++)
            {
                int tmp=pref[i]-pref[i2];
                if (dp[i][j]>dp[i2][j-1]+tmp*tmp)
                {
                    dp[i][j]=dp[i2][j-1]+tmp*tmp;
                    track[i][j]=i2;
                }
            }
        }
    }
    cout<<(sum*sum-dp[n][k+1])/2<<"\n";
    stack<int> ans;
    while(track[n][k+1])
    {
        n=track[n][k+1];
        ans.push(n);
        k--;
    }
    while(!ans.empty())
    {
        cout<<ans.top()<<" ";
        ans.pop();
    }
    return 0;
}

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