Submission #735773

#	Time	Username	Problem	Language	Result	Execution time	Memory
735773		Desh03	Split the sequence (APIO14_sequence)	C++17	50 / 100	2089 ms	49696 KiB

sequence

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

void solve() {
    int n, k;
    cin >> n >> k;
    vector<int> a(n + 1), pre(n + 1);
    vector<vector<int>> dp(n + 1, vector<int> (k + 1));
    vector<vector<int>> par(n + 1, vector<int> (k + 1));
    vector<vector<tuple<int, int, int>>> cht(k + 1);
    for (int i = 1; i <= n; i++) cin >> a[i];
    for (int i = 1; i <= n; i++)
        pre[i] = pre[i - 1] + a[i];
    for (int i = 1; i <= n; i++) {
        for (int j = 1; j <= min(k, i - 1); j++)
            if (cht[j].size())
                for (auto [x, y, t] : cht[j])
                    if (x * pre[i] + y >= dp[i][j])
                        dp[i][j] = x * pre[i] + y, par[i][j] = t;
        for (int j = 1; j <= min(k, i); j++)
            cht[j].push_back({pre[i], dp[i][j - 1] - pre[i] * pre[i], i});
    }
    cout << dp[n][k]<< '\n';
    for (int x = par[n][k], i = k; i >= 1; i--, x = par[x][i])
        cout << x << ' ';
}

signed main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    int t = 1;
    //cin >> t;
    while (t--) {
        solve();
    }
}

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