Submission #404364

#	Time	Username	Problem	Language	Result	Execution time	Memory
404364		BERNARB01	Split the sequence (APIO14_sequence)	C++17	28 / 100	2096 ms	8416 KiB

sequence

#include <bits/stdc++.h>

using namespace std;

int main() {
	ios::sync_with_stdio(false);
	cin.tie(0);
	int n, k;
	cin >> n >> k;
	vector<int> a(n);
	for (int i = 0; i < n; i++) {
		cin >> a[i];
	}
	vector<long long> sum(n);
	sum[0] = a[0];
	for (int i = 1; i < n; i++) {
		sum[i] = a[i] + sum[i - 1];
	}
	vector<long long> dp(n);
	vector<vector<int>> en(k + 1, vector<int>(n, -1));
	for (int i = 0; i < n; i++) {
		dp[i] = (sum[n - 1] - sum[i]) * (sum[i]);
	}
	for (int i = 2; i <= k; i++) {
		vector<long long> new_dp(n, 0);
		for (int j = i - 1; j < n; j++) {
			for (int p = i - 2; p < j; p++) {
				long long cost = (sum[n - 1] - sum[j]) * (sum[j] - sum[p]);
				if (dp[p] + cost > new_dp[j]) {
					new_dp[j] = dp[p] + cost;
					en[i][j] = p;
					assert(n > p && p > en[i - 1][p]);
				}
			}
		}
		swap(dp, new_dp);
	}
	pair<long long, int> p = {-1, -1};
	for (int i = 0; i < n; i++) {
		p = max(p, {dp[i], i});
	}
	cout << p.first << '\n';
	int ptr = p.second;
	for (int i = k; i > 0; i--) {
		cout << ptr + 1 << " ";
		assert(en[i][ptr] < ptr);
		ptr = en[i][ptr];
	}
	cout << '\n';
	return 0;
}

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