Submission #486741

#	Time	Username	Problem	Language	Result	Execution time	Memory
486741		status_coding	Split the sequence (APIO14_sequence)	C++14	71 / 100	146 ms	131076 KiB

sequence

#include <bits/stdc++.h>

using namespace std;

struct fCall
{
    int nr, st, dr, stOpt, drOpt;

    fCall(int nr, int st, int dr, int stOpt, int drOpt)
    {
        this->nr=nr;
        this->st=st;
        this->dr=dr;
        this->stOpt=stOpt;
        this->drOpt=drOpt;
    }
};

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

long long dp[100005][205];
long long last[100005][205];

vector<fCall> fS;

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

    int mij=(st+dr)/2;
    long long maxi=-1, best=mij;

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

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

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

    fS.push_back(fCall(nr, st, mij-1, stOpt, best));
    fS.push_back(fCall(nr, mij+1, dr, best, drOpt));
}

int main()
{
    cin>>n>>k;

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

    for(int i=1;i<=k;i++)
    {
        fS.clear();
        fS.push_back(fCall(i, 1, n, 1, n));

        while(!fS.empty())
        {
            auto it=fS.back();
            fS.pop_back();

            solve(it.nr, it.st, it.dr, it.stOpt, it.drOpt);
        }
    }


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

    int p=n;
    int nr=k;
    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: 11 / 11
• Subtask 4: 17 / 17
• Subtask 5: 21 / 21
• Subtask 6: 0 / 29