Submission #1210557

#TimeUsernameProblemLanguageResultExecution timeMemory
1210557iicuongFeast (NOI19_feast)C++20
100 / 100
859 ms22740 KiB
#include <bits/stdc++.h>
using namespace std;

int n, k;
pair<long long, long long> sybau(long long lambda, const vector<int>& a){
    vector<vector<pair<long long, long long>>> dp(n, vector<pair<long long, long long>>(2));
    dp[0][0] = {0, 0};
    dp[0][1] = {a[0] - lambda, 1};
    for(int i = 1; i < n; ++i){
        dp[i][0] = max(dp[i - 1][0], dp[i - 1][1]);
        pair<long long, long long> op1 = {dp[i - 1][0].first + a[i] - lambda, dp[i - 1][0].second + 1};
        pair<long long, long long> op2 = {dp[i - 1][1].first + a[i], dp[i - 1][1].second};
        dp[i][1] = max(op1, op2);
    }
    return max(dp[n - 1][0], dp[n - 1][1]);
}

int main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);
    cin >> n >> k;
    vector<int> a(n);
    for(int& x : a) cin >> x;
    long long l = 0, r = 1e18, m;
    while(l < r){
        m = (l + r + 1) / 2;
        if(sybau(m, a).second >= k) l = m;
        else r = m - 1;
    }
    auto ans = sybau(l, a);
    cout << ans.first + l * k << '\n';
    return 0;
}
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