Submission #947359

#TimeUsernameProblemLanguageResultExecution timeMemory
947359SirCovidThe19thFeast (NOI19_feast)C++17
100 / 100
238 ms14224 KiB
#include <bits/stdc++.h>
using namespace std;

#define ll long long

const int MAX = 300000;
const ll INF = (ll)300000 * 1000000000;

int n, k, A[MAX + 1];
pair<ll, ll> dp[MAX + 1][2];

pair<ll, ll> better(pair<ll, ll> a, pair<ll, ll> b) {
	if (a.first == b.first){ return (a.second < b.second ? a : b); }

	return (a.first > b.first ? a : b);
}

pair<ll, ll> solveLambda(ll lmb){
    dp[0][0] = {0, 0};
	dp[0][1] = {-INF, 0};

	for (int i = 1; i <= n; i++) {
		dp[i][0] = better(dp[i - 1][0], dp[i - 1][1]);

		dp[i][1] =
		    better({dp[i - 1][0].first + A[i] - lmb, dp[i - 1][0].second + 1},
		           {dp[i - 1][1].first + A[i], dp[i - 1][1].second});
	}
	return better(dp[n][0], dp[n][1]);
}

int main() {
	cin >> n >> k;
	for (int i = 1; i <= n; i++) cin >> A[i];

	ll lo = 0, hi = INF;

	while (lo < hi) {
		ll mid = (lo + hi) / 2;
		solveLambda(mid).second <= k ? hi = mid : lo = mid + 1;
	}
    cout << solveLambda(lo).first + lo * k << endl;
} 
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