Submission #486516

#	Time	Username	Problem	Language	Result	Execution time	Memory
486516		status_coding	Split the sequence (APIO14_sequence)	C++14	60 / 100	86 ms	131076 KiB

sequence

#include <bits/stdc++.h>

using namespace std;

long long n,k;
long long s[100005];

long long dp[100005][201];
int last[100005][201];

void solve(int nr, int st, int dr, int stOpt, int drOpt)
{
    if(st > dr)
        return;

    int mij=(st+dr)/2;
    long long maxi=0, best=mij;

    for(int j=stOpt;j<=min(drOpt, mij);j++)
    {
        long long nval= (s[mij]-s[j-1])*s[j-1] + dp[j-1][nr-1];

        if(nval > maxi)
        {
            maxi=nval;
            best=j;
        }
    }

    dp[mij][nr]=maxi;
    last[mij][nr]=best-1;

    solve(nr, st, mij-1, stOpt, best);
    solve(nr, mij+1, dr, best, drOpt);
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);

    cin>>n>>k;
    for(int i=1;i<=n;i++)
        cin>>s[i];
    for(int i=1;i<=n;i++)
        s[i]+=s[i-1];

    for(int nr=1;nr<=k;nr++)
        solve(nr, 1, n, 1, n);

    cout<<dp[n][k]<<'\n';

    int nr=k;
    int p=n;
    vector<int> ans;

    while(true)
    {
        p = last[p][nr];
        nr--;

        if(p <= 0)
            break;

        ans.push_back(p);
    }

    reverse(ans.begin(), ans.end());
    for(int it : ans)
        cout<<it<<' ';
    return 0;
}

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