oj.uz

Submission #990174

# Submission time Handle Problem Language Result Execution time Memory
990174 2024-05-29T18:37:51 Z tch1cherin K blocks (IZhO14_blocks) C++17
100 / 100
 343 ms 5468 KB 
// #pragma GCC optimize("O3")
// #pragma GCC target("avx2")
#include <bits/stdc++.h>
using namespace std;

const int INF = 1e9;
 
inline int fast_min(int x, int y) {
  return x < y ? x : y;
}

struct dsu {
  vector<int> parent, rank;
  vector<int> min_val;
 
  dsu(int n) : parent(n), rank(n, 1) {
    iota(parent.begin(), parent.end(), 0);
  }
 
  int get(int u) {
    return parent[u] == u ? u : (parent[u] = get(parent[u]));
  }
 
  void unite(int u, int v) {
    u = get(u), v = get(v);
    if (u != v) {
      if (rank[u] < rank[v]) {
        swap(u, v);
      }
      rank[u] += rank[v];
      parent[v] = u;
      min_val[u] = min(min_val[u], min_val[v]);
    }
  }
};
 
int main() {
  cin.tie(nullptr)->sync_with_stdio(false);
  int N, K;
  cin >> N >> K;
  vector<int> A(N);
  for (int &value : A) {
    cin >> value;
  }
  vector<int> stleft(N), stright(N);
  for (int i = 0; i < N; i++) {
    stleft[i] = i - 1;
    while (stleft[i] != -1 && A[stleft[i]] < A[i]) {
      stleft[i] = stleft[stleft[i]];
    }
  }
  for (int i = N - 1; i >= 0; i--) {
    stright[i] = i + 1;
    while (stright[i] != N && A[stright[i]] <= A[i]) {
      stright[i] = stright[stright[i]];
    }
  }
  vector<int> dp(N + 1, INF), new_dp;
  dp[0] = 0;
  for (int k = 0; k < K; k++) {
    new_dp.assign(N + 1, INF);
    stack<int> st;
    stack<pair<int, int>> sta;
    dsu sets(N);
    sets.min_val = dp;
    vector<int> val(N);
    for (int i = 0; i <= N; i++) {
      new_dp[i] = sta.empty() ? INF : sta.top().second;
      if (i == N) {
        continue;
      }
      while (!st.empty() && dp[st.top()] > dp[i]) {
        sets.unite(st.top(), i);
        st.pop();
      }
      while (!sta.empty() && A[sta.top().first] < A[i]) {
        sta.pop();
      }
      val[i] = sets.min_val[sets.get(stleft[i] + 1)] + A[i];
      sta.push({i, min(val[i], sta.empty() ? INF : sta.top().second)});
      st.push(i);
    }
    dp = new_dp;
  }
  cout << dp.back() << "\n";
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct

Subtask #2
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 600 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct

Subtask #3
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 600 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 344 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 1 ms 344 KB Output is correct
54 Correct 1 ms 344 KB Output is correct
55 Correct 0 ms 344 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 0 ms 348 KB Output is correct

Subtask #4
47.0 / 47.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 600 KB Output is correct
21 Correct 1 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 0 ms 348 KB Output is correct
24 Correct 0 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 344 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 0 ms 348 KB Output is correct
37 Correct 0 ms 348 KB Output is correct
38 Correct 0 ms 348 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 0 ms 348 KB Output is correct
41 Correct 0 ms 348 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 0 ms 348 KB Output is correct
45 Correct 0 ms 348 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 0 ms 348 KB Output is correct
50 Correct 0 ms 348 KB Output is correct
51 Correct 0 ms 348 KB Output is correct
52 Correct 0 ms 348 KB Output is correct
53 Correct 1 ms 344 KB Output is correct
54 Correct 1 ms 344 KB Output is correct
55 Correct 0 ms 344 KB Output is correct
56 Correct 0 ms 348 KB Output is correct
57 Correct 0 ms 348 KB Output is correct
58 Correct 4 ms 600 KB Output is correct
59 Correct 6 ms 2140 KB Output is correct
60 Correct 10 ms 2204 KB Output is correct
61 Correct 76 ms 2352 KB Output is correct
62 Correct 212 ms 4480 KB Output is correct
63 Correct 13 ms 4412 KB Output is correct
64 Correct 96 ms 4444 KB Output is correct
65 Correct 0 ms 348 KB Output is correct
66 Correct 1 ms 348 KB Output is correct
67 Correct 1 ms 348 KB Output is correct
68 Correct 1 ms 348 KB Output is correct
69 Correct 0 ms 348 KB Output is correct
70 Correct 1 ms 348 KB Output is correct
71 Correct 30 ms 604 KB Output is correct
72 Correct 1 ms 604 KB Output is correct
73 Correct 8 ms 604 KB Output is correct
74 Correct 5 ms 2140 KB Output is correct
75 Correct 13 ms 2204 KB Output is correct
76 Correct 116 ms 2204 KB Output is correct
77 Correct 338 ms 4412 KB Output is correct
78 Correct 15 ms 4952 KB Output is correct
79 Correct 154 ms 4944 KB Output is correct
80 Correct 11 ms 4956 KB Output is correct
81 Correct 38 ms 5068 KB Output is correct
82 Correct 343 ms 4956 KB Output is correct
83 Correct 0 ms 348 KB Output is correct
84 Correct 1 ms 348 KB Output is correct
85 Correct 28 ms 856 KB Output is correct
86 Correct 1 ms 856 KB Output is correct
87 Correct 7 ms 960 KB Output is correct
88 Correct 5 ms 2652 KB Output is correct
89 Correct 12 ms 2652 KB Output is correct
90 Correct 97 ms 2652 KB Output is correct
91 Correct 288 ms 5352 KB Output is correct
92 Correct 15 ms 5468 KB Output is correct
93 Correct 133 ms 5328 KB Output is correct
94 Correct 1 ms 860 KB Output is correct
95 Correct 15 ms 856 KB Output is correct
96 Correct 1 ms 348 KB Output is correct
97 Correct 0 ms 348 KB Output is correct
98 Correct 0 ms 348 KB Output is correct
99 Correct 1 ms 456 KB Output is correct