Submission #1202335

#TimeUsernameProblemLanguageResultExecution timeMemory
1202335crispxxSplit the sequence (APIO14_sequence)C++20
50 / 100
2096 ms16452 KiB
#include <bits/stdc++.h>
using namespace std;

#define int long long
#define all(x) x.begin(), x.end()
#define pb push_back
#define ar array
#define nl '\n'

template <typename A, typename B>
bool chmin(A &a, const B &b) {
	if(a > b) {
		return a = b, true;
	}
	return false;
}

template <typename A, typename B>
bool chmax(A &a, const B &b) {
	if(a <= b) {
		return a = b, true;
	}
	return false;
}

void solve() {
	int n, k; cin >> n >> k;
	
	vector<int> a(n);
	
	for(auto &x : a) cin >> x;
	
	vector<int> pref(n + 1);
	
	for(int i = 0; i < n; i++) {
		pref[i + 1] = pref[i] + a[i];
	}
	
	vector<int> dp(n + 1);
	vector<vector<int>> p(k + 1, vector<int>(n + 1, -1));
	
	for(int i = 0; i <= k; i++) {
		vector<int> ndp(n + 1);
		for(int j = 1; j <= n; j++) {
			for(int l = 0; l < j; l++) {
				if(chmax(ndp[j], dp[l] + (pref[j] - pref[l]) * (pref[n] - pref[j]))) {
					p[i][j] = l;
				}
			}
		}
		swap(dp, ndp);
	}
	
	cout << dp[n] << nl;
	for(int i = k, cur = n; i >= 1; i--) {
		cout << p[i][cur] << ' ';
		cur = p[i][cur];
	}
	cout << nl;
}

signed main() {
	ios::sync_with_stdio(false);
	cin.tie(nullptr);
	
	solve();
}
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