Submission #1092073

#TimeUsernameProblemLanguageResultExecution timeMemory
1092073juicyK blocks (IZhO14_blocks)C++17
100 / 100
104 ms159904 KiB
#include <bits/stdc++.h>

using namespace std;

#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif

const int N = 1e5 + 5, K = 101;

int n, k;
int a[N];
long long dp[N][K], f[N][K];

int main() {
  ios::sync_with_stdio(false); cin.tie(nullptr);

  cin >> n >> k;
  for (int i = 1; i <= n; ++i) {
    cin >> a[i];
  } 
  memset(f, 0x3f, sizeof(f));
  memset(dp, 0x3f, sizeof(dp));
  dp[0][0] = 0;
  vector<int> st;
  for (int i = 1; i <= n; ++i) {
    for (int j = 0; j <= k; ++j) {
      f[i][j] = dp[i - 1][j];
    }
    while (st.size() && a[st.back()] <= a[i]) {
      for (int j = 0; j <= k; ++j) {
        f[i][j] = min(f[i][j], f[st.back()][j]);
      }
      st.pop_back();
    }
    for (int j = 1; j <= k; ++j) {
      dp[i][j] = min(dp[i][j], f[i][j - 1] + a[i]);
    }
    if (st.size()) {
      for (int j = 1; j <= k; ++j) {
        dp[i][j] = min(dp[i][j], dp[st.back()][j]);
      }
    }
    st.push_back(i);
  }
  cout << dp[n][k];
  return 0;
}
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