Submission #785705

#	Time	Username	Problem	Language	Result	Execution time	Memory
785705		acatmeowmeow	Split the sequence (APIO14_sequence)	C++11	50 / 100	2086 ms	131072 KiB

sequence

#include <bits/stdc++.h>

using namespace std;

#define int long long 

const int N = 1e5, MAXK = 200;
int n, K, prefix[N + 5], dp[N + 5][MAXK + 5], par[N + 5][MAXK + 5];

signed main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	cin >> n >> K;
	for (int i = 1; i <= n; i++) {
		int x;
		cin >> x;
		prefix[i] = prefix[i - 1] + x;
	}
	for (int i = 0; i <= n; i++) {
		for (int j = 0; j <= K; j++) {
			dp[i][j] = -1e18;
		}
	}
	for (int i = 1; i <= n; i++) dp[i][0] = 0;
	for (int i = 1; i <= n; i++) {
		for (int j = 1; j <= min(K, i - 1); j++) {
			for (int k = 1; k < i; k++) {
				int cur = dp[k][j - 1] + (prefix[i] - prefix[k])*prefix[k];
				//dp[i][j] = max(dp[i][j], dp[k][j - 1] + (prefix[i] - prefix[k - 1])*prefix[i]);
				if (dp[i][j] < cur) dp[i][j] = cur, par[i][j] = k;
			}
		}
	}
	cout << dp[n][K] << '\n';
	int index = n, layer = K;
	while (true) {
		if (!par[index][layer]) break;
		else cout << par[index][layer] << " ";
		index = par[index][layer], layer--;
	}
	cout << '\n';
	return 0;
}

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