Submission #988352

#TimeUsernameProblemLanguageResultExecution timeMemory
988352vjudge1Feast (NOI19_feast)C++17
12 / 100
215 ms25684 KiB
#include <iostream>
#include <vector>
#include <climits>

using namespace std;

int n, k;
vector<int> a;
vector<vector<pair<long long, long long> > > DP;

pair<long long, long long> dp(long long lambda)
{
	DP[0][0] = { 0, 0 };
	for (int i = 1; i <= n; i++)
	{
		DP[i][0] = max(DP[i - 1][0], DP[i - 1][1]);
		DP[i][1] = max( 
			make_pair(DP[i-1][0].first + a[i] - lambda, DP[i-1][0].second + 1), 
			make_pair(DP[i - 1][1].first + a[i], DP[i - 1][1].second)
		);
	}
	return max(DP[n][0], DP[n][1]);
}

int main()
{
	cin >> n >> k;
	DP.resize(n + 1, vector<pair<long long, long long>>(2, { LLONG_MIN, 0 }));
	a.resize(n + 1);
	for (int i = 1; i <= n; i++)
	{
		cin >> a[i];
	}

	long long l = 0, r = 3e14, lambda;
	while ( r - l > 1)
	{
		lambda = (l + r) / 2;
		auto m = dp(lambda);
		if (m.second > k) l = lambda;
		else r = lambda;
	}
	auto megoldas = dp(r);
	cout << megoldas.first + megoldas.second * r;

	return 0;
}
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