Submission #947366

#TimeUsernameProblemLanguageResultExecution timeMemory
947366SirCovidThe19thFeast (NOI19_feast)C++17
100 / 100
192 ms11168 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> solveLambda(ll lmb){
    dp[0][0] = {0, 0}; 
    dp[0][1] = {-INF, 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] - lmb, 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;

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

    ll lo = 0, hi = INF;

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