Submission #1166167

#TimeUsernameProblemLanguageResultExecution timeMemory
1166167NxmkxingFeast (NOI19_feast)C++20
100 / 100
130 ms12176 KiB
#include <bits/stdc++.h>
using namespace std;

using ll = long long;
using pll = pair<long long, long long>;

const int N = 3e5 + 10;
ll n, k, a[N];
pll dp[N][2];

pll solve(ll lambda) {
  for (int i = 1; i <= n; i++) dp[i][0] = dp[i][1] = {0, 0};
  dp[1][0] = {0, 0};
  dp[1][1] = {a[1] - lambda, 1};
  for (int i = 2; 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.tie(nullptr)->ios_base::sync_with_stdio(false);
  cin >> n >> k;
  for (int i = 1; i <= n; i++) cin >> a[i];
  ll b = 0, e = 1e18;
  while (b < e) {
    ll mid = (b + e + 1) / 2;
    if (solve(mid).second >= k) b = mid;
    else e = mid - 1;
  }
  cout << solve(b).first + b * k;
}
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