Submission #731226

#	Time	Username	Problem	Language	Result	Execution time	Memory
731226		Alihan_8	Split the sequence (APIO14_sequence)	C++17	0 / 100	63 ms	131072 KiB

sequence

#include <bits/stdc++.h>

using namespace std;

#define all(x) x.begin(), x.end()
#define pb push_back
#define ln '\n'
#define int long long

bool chmin(int &x, int y){
    bool flag = false;
    if ( x > y ){
        x = y; flag |= true;
    }
    return flag;
}

bool chmax(int &x, int y){
    bool flag = false;
    if ( x < y ){
        x = y; flag |= true;
    }
    return flag;
}

const int N = 1e5 + 1, inf = 1e15 + 1;

int dp[N][202], par[N][202];

signed main(){
    ios_base::sync_with_stdio(false);
    cin.tie(nullptr);

    int n, k; cin >> n >> k;
    vector <int> p(n), pref(n + 1);
    for ( auto &i: p ) cin >> i;
    for ( int i = 0; i < n; i++ ){
        pref[i + 1] = pref[i] + p[i];
    }
    for ( int i = 0; i < N; i++ ){
        for ( int j = 0; j <= 200; j++ ){
            dp[i][j] = -inf;
        }
    }
    dp[0][0] = 0; ++k;
    for ( int i = 1; i <= n; i++ ){
        for ( int j = 1; j <= k; j++ ){
            for ( int l = 0; l < i; l++ ){
                int v = (pref[i] - pref[l]) * pref[l];
                if ( chmax(dp[i][j], dp[l][j - 1] + v) ){
                    par[i][j] = l;
                }
            }
        }
    }
    cout << dp[n][k] << ln;
    vector <int> res;
    int it = n;
    while ( k > 0 ){
        it = par[it][k--];
        if ( it ) res.pb(it);
    }
    reverse(all(res));
    for ( auto i: res ){
        cout << i << ' ';
    }

    cout << '\n';
}

/*
7 3
4 1 3 4 0 2 3
*/

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