Submission #724781

#	Time	Username	Problem	Language	Result	Execution time	Memory
724781		colossal_pepe	Split the sequence (APIO14_sequence)	C++17	39 / 100	202 ms	3552 KiB

sequence

#include <iostream>
#include <vector>
using namespace std;

using ll = long long;

const int N = 1000;
const int K = 200;

int n, k;
ll a[N + 5], pfx_sum[N + 5];
pair<ll, int> dp[K + 5][N + 5];

ll score(int i, int j) {
    return pfx_sum[i] * (pfx_sum[n] - pfx_sum[j]);
}

pair<ll, vector<int>> retrieve() {
    ll x = 0;
    vector<int> v = {-1};
    for (int i = 1; i <= n; i++) {
        if (dp[k][i].first > x) {
            x = dp[k][i].first;
            v.back() = i;
        }
    }
    for (int i = k; i >= 2; i--) {
        v.push_back(dp[i][v.back()].second);
    }
    return {x, v};
}

int main() {
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cin >> n >> k;
    if (n > N) exit(0);
    a[0] = pfx_sum[0] = 0;
    for (int i = 1; i <= n; i++) {
        cin >> a[i];
        pfx_sum[i] = a[i] + pfx_sum[i - 1];
    }
    for (int i = 1; i <= n; i++) {
        dp[1][i] = {score(i, i), -1};
        for (int s = 2; s <= k; s++) {
            dp[s][i] = {-1, -1};
            for (int j = 1; j < i; j++) {
                if (dp[s - 1][j].first == -1) continue;
                dp[s][i] = max(dp[s][i], {score(i, i) - score(j, i) + dp[s - 1][j].first, j});
            }
        }
    }
    pair<ll, vector<int>> ans = retrieve();
    cout << ans.first << '\n';
    for (int i : ans.second) {
        cout << i << ' ';
    }
    cout << '\n';
    return 0;
}

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