Submission #1109488

#	Time	Username	Problem	Language	Result	Execution time	Memory
1109488		Rainmaker2627	Split the sequence (APIO14_sequence)	C++17	0 / 100	27 ms	15268 KiB

sequence

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

const int inf=1e18;

signed main() {
	cin.tie(0)->sync_with_stdio(false);

	int n, k;
	cin >> n >> k;
	vector<int> pre(n+1, 0);
	for (int i = 1; i <= n; ++i) {
		cin >> pre[i];
		pre[i]+=pre[i-1];
	}

	vector<vector<int>> dp(n+1, vector<int>(2, 0)), prev(n+1, vector<int>(k+1, 0));
	for (int j = 1; j <= k; ++j) {
		deque<pair<pair<int, int>, pair<int, int>>> s;
		s.push_back({{inf, 0}, {0, 0}});
		for (int i = 1; i <= n; ++i) {
			dp[i][j%2]=pre[i]*(pre[n]-pre[i]);
			while (pre[i]>s.front().first.first) s.pop_front();
			auto [m, c]=s.front().second;
			dp[i][j%2]+=m*pre[i]+c;
			prev[i][j]=s.front().first.second;
			int cn=dp[i][(j-1)%2]-pre[n]*pre[i], mn=pre[i];
			while (!s.empty()) {
				auto [m, c]=s.back().second;
				if (m==mn) {
					if (c>cn) break;
					s.pop_back();
					if (s.empty()) s.push_back({{inf, i}, {mn, cn}});
				} else {
					int x=(c-cn)/(mn-m);
					int j=s.back().first.second;
					s.pop_back();
					if (s.empty() || s.back().first.first<x) {
						s.push_back({{x, j}, {m, c}}); 
						s.push_back({{inf, i}, {mn, cn}});
						break; 
					}
				}
			}
		}
	}

	int m=0, j=0;
	for (int i = 1; i <= n; ++i) {
		if (dp[i][j%2]>m) m=dp[i][k%2], j=i;
	} cout << m << '\n';

	cout << j;
	for (int i = 0; i < k-1; ++i) {
		j=prev[j][k-i];
		cout << ' ' << j;
	} cout << '\n';

	return 0;
}

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