Submission #997433

#	Time	Username	Problem	Language	Result	Execution time	Memory
997433		vjudge1	Split the sequence (APIO14_sequence)	C++17	22 / 100	82 ms	32716 KiB

sequence

#include <bits/stdc++.h>
using namespace std;

typedef long long ll;

const ll N = 1e4 + 100;
const ll K = 205;

ll n, k, a[N], dp[N][K], par[N][K], suff[N];

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

    for (ll i = 1; i <= n; i ++)
        cin >> a[i];
    for (ll i = n; i > 0; i --)
        suff[i] = suff[i + 1] + a[i];

    for (ll i = n; i > 0; i --){
        ll j = n;
        for (ll p = 2; p <= k; p ++){
            if (i + p - 1 > n){
                dp[i][p] = -1e18;
                continue;
            }

            dp[i][p] = dp[j][p - 1] + (suff[i] - suff[j]) * suff[j];
            par[i][p] = j;
            while (j - 1 > i and (dp[j - 1][p - 1] + (suff[i] - suff[j - 1]) * suff[j - 1]) >= dp[i][p]){
                j--;
                dp[i][p] = dp[j][p - 1] + (suff[i] - suff[j]) * suff[j];
                par[i][p] = j;
            }

            // cout << i << " " << p << " goes to " << j << endl;
        }
    }

    cout << dp[1][k] << endl;

    ll cur_i = 1;
    ll cur_k = k;

    while (cur_k > 1){
        cout << par[cur_i][cur_k] - 1 << " ";
        cur_i = par[cur_i][cur_k];
        cur_k--;
    }
    cout << endl;
}

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