Submission #488141

#	Time	Username	Problem	Language	Result	Execution time	Memory
488141		ntabc05101	Split the sequence (APIO14_sequence)	C++14	0 / 100	26 ms	11664 KiB

sequence

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

#define taskname ""

const long long inf = 1e17;

int main() {
	if (fopen(taskname".inp", "r")) {
		freopen(taskname".inp", "r", stdin);
		freopen(taskname".out", "w", stdout);
	}
	else {
		if (fopen(taskname".in", "r")) {
			freopen(taskname".in", "r", stdin);
			freopen(taskname".out", "w", stdout);
		}
	}

	cin.tie(0)->sync_with_stdio(0);

	int n, K; cin >> n >> K;
	long long a[n + 1];
	a[0] = 0;
	for (int i = 1; i <= n; i++) {
		cin >> a[i]; a[i] += a[i - 1];
	}

	vector<long long> dp[n + 1];
	function<long double(int, int, int)> slope = [&](int k, int i, int j) {
		return (long double)(dp[i][k] - a[i] * a[i] - dp[j][k] + a[j] * a[j]) / (a[j] - a[i]);
	};

	K++;
	int prf[n + 1][K + 1];
	memset(prf, 0, sizeof(prf));
	long long res = 0;
		for (int i = 0; i <= n; i++) {
			dp[i].assign(K + 1, -inf);
		}
		dp[0][0] = 0;
		deque<int> deq[K + 1];
		for (int i = 0; i <= K; i++) {
			deq[i].clear();
		}
		deq[0].push_back(0);
		for (int i = 1; i <= n; i++) {
			for (int k = 1; k <= K; k++) {
				while (deq[k - 1].size() > 1 && slope(k - 1, deq[k - 1][0], deq[k - 1][1]) < a[i]) {
					deq[k - 1].pop_front();
				}
				if (deq[k - 1].empty()) {
					continue;
				}
				int j = deq[k - 1].front();
				dp[i][k] = dp[j][k - 1] + (a[i] - a[j]) * a[j];
				prf[i][k] = j;
			}
			for (int k = 1; k <= K; k++) {
				while (deq[k].size() > 1 && slope(k, deq[k][deq[k].size() - 2], deq[k].back()) > slope(k, deq[k].back(), i)) {
					deq[k].pop_back();
				}
				deq[k].push_back(i);
			}
		}

	cout << dp[n][K] << "\n";
	while (K > 1) {
		cout << prf[n][K] << " ";
		n = prf[n][K--];
	}
	cout << "\n";

	return 0;
}

/*
7 3
4 1 3 4 0 2 3
 */

Compilation message (stderr)

sequence.cpp: In function 'int main()':
sequence.cpp:37:12: warning: unused variable 'res' [-Wunused-variable]
   37 |  long long res = 0;
      |            ^~~
sequence.cpp:10:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   10 |   freopen(taskname".inp", "r", stdin);
      |   ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~
sequence.cpp:11:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   11 |   freopen(taskname".out", "w", stdout);
      |   ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~
sequence.cpp:15:11: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   15 |    freopen(taskname".in", "r", stdin);
      |    ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
sequence.cpp:16:11: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   16 |    freopen(taskname".out", "w", stdout);
      |    ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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