oj.uz

Submission #786824

# Submission time Handle Problem Language Result Execution time Memory
786824 2023-07-18T13:14:51 Z tch1cherin Cat Exercise (JOI23_ho_t4) C++17
51 / 100
 2000 ms 461860 KB 
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx2")
#include <bits/stdc++.h>
using namespace std;

const int MAX_N = 2e5 + 5;
const int MAX_L = __lg(MAX_N) + 1;
bitset<MAX_N> used_c, used_s;
unordered_map<int, int> pos[MAX_N];
set<pair<int, int>> values[MAX_N];
vector<int> graph[MAX_N], parent[MAX_N], dist[MAX_N];
vector<bool> deleted[MAX_N]; 
int ancestors[MAX_N][MAX_L], num[MAX_N] = {}, value[MAX_N], sz[MAX_N];

void find_sizes(int u, int p) {
  sz[u] = 1;
  for (int v : graph[u]) {
    if (v != p && !used_c[v]) {
      find_sizes(v, u);
      sz[u] += sz[v];
    }
  }
}

int find_centroid(int u, int p, int n) {
  for (int v : graph[u]) {
    if (v != p && !used_c[v] && sz[v] > n / 2) {
      return find_centroid(v, u, n);
    }
  }
  return u;
}

void DFS(int u, int c, int p, int d) {
  pos[c][u] = (int)dist[c].size();
  dist[c].push_back(d);
  parent[c].push_back(p);
  deleted[c].push_back(false);
  values[c].insert({value[u], u});
  ancestors[u][num[u]++] = c;
  for (int v : graph[u]) {
    if (v != p && !used_c[v]) {
      DFS(v, c, u, d + 1);
    } 
  }
}

void centroid(int u) {
  find_sizes(u, -1);
  DFS(u, u, -1, 0);
  used_c[u] = true;
  for (int v : graph[u]) {
    if (!used_c[v]) {
      centroid(find_centroid(v, u, sz[v]));
    }
  }
}

void delete_subtree(int u, int p, int c) {
  values[c].erase({value[u], u});
  deleted[c][pos[c][u]] = true;
  for (int v : graph[u]) {
    if (v != p && pos[c].count(v) && !deleted[c][pos[c][v]]) {
      delete_subtree(v, u, c);
    }
  }
}

int64_t solve(int u) {
  used_s[u] = true;
  int64_t ans = 0;
  for (int i = 0; i < num[u]; i++) {
    int A = ancestors[u][i];
    if (!deleted[A][pos[A][u]]) {
      delete_subtree(u, parent[A][pos[A][u]], A); 
    }
  }
  for (int v : graph[u]) {
    if (!used_s[v]) {
      tuple<int, int, int> val = {-1, -1, -1};
      for (int i = 0; i < num[v]; i++) {
        int A = ancestors[v][i];
        if (!deleted[A][pos[A][v]] && !values[A].empty()) {
          auto [valx, x] = *values[A].rbegin();
          val = max(val, {valx, -(dist[A][pos[A][x]] + dist[A][pos[A][v]]), x});
        }
      }
      ans = max(ans, solve(get<2>(val)) - get<1>(val) + 1);
    }
  }
  return ans;
}

int main() {
  cin.tie(nullptr)->sync_with_stdio(false);
  int N;
  cin >> N;
  for (int i = 0; i < N; i++) {
    cin >> value[i];
  }
  for (int i = 0; i < N - 1; i++) {
    int u, v;
    cin >> u >> v;
    u--, v--;
    graph[u].push_back(v);
    graph[v].push_back(u);
  }
  find_sizes(0, -1);
  centroid(find_centroid(0, -1, N));
  for (int i = 0; i < N; i++) {
    if (value[i] == N) {
      cout << solve(i) << "\n";
    }
  }
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 42600 KB Output is correct
2 Correct 20 ms 42580 KB Output is correct
3 Correct 19 ms 42604 KB Output is correct
4 Correct 19 ms 42596 KB Output is correct
5 Correct 20 ms 42632 KB Output is correct
6 Correct 21 ms 42604 KB Output is correct
7 Correct 20 ms 42588 KB Output is correct
8 Correct 22 ms 42576 KB Output is correct
9 Correct 20 ms 42600 KB Output is correct
10 Correct 23 ms 42572 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 42600 KB Output is correct
2 Correct 20 ms 42580 KB Output is correct
3 Correct 19 ms 42604 KB Output is correct
4 Correct 19 ms 42596 KB Output is correct
5 Correct 20 ms 42632 KB Output is correct
6 Correct 21 ms 42604 KB Output is correct
7 Correct 20 ms 42588 KB Output is correct
8 Correct 22 ms 42576 KB Output is correct
9 Correct 20 ms 42600 KB Output is correct
10 Correct 23 ms 42572 KB Output is correct
11 Correct 20 ms 42932 KB Output is correct
12 Correct 25 ms 42980 KB Output is correct
13 Correct 21 ms 42928 KB Output is correct
14 Correct 24 ms 42944 KB Output is correct
15 Correct 24 ms 42856 KB Output is correct
16 Correct 21 ms 42872 KB Output is correct
17 Correct 22 ms 42836 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 42600 KB Output is correct
2 Correct 20 ms 42580 KB Output is correct
3 Correct 19 ms 42604 KB Output is correct
4 Correct 19 ms 42596 KB Output is correct
5 Correct 20 ms 42632 KB Output is correct
6 Correct 21 ms 42604 KB Output is correct
7 Correct 20 ms 42588 KB Output is correct
8 Correct 22 ms 42576 KB Output is correct
9 Correct 20 ms 42600 KB Output is correct
10 Correct 23 ms 42572 KB Output is correct
11 Correct 20 ms 42932 KB Output is correct
12 Correct 25 ms 42980 KB Output is correct
13 Correct 21 ms 42928 KB Output is correct
14 Correct 24 ms 42944 KB Output is correct
15 Correct 24 ms 42856 KB Output is correct
16 Correct 21 ms 42872 KB Output is correct
17 Correct 22 ms 42836 KB Output is correct
18 Correct 46 ms 50580 KB Output is correct
19 Correct 44 ms 50488 KB Output is correct
20 Correct 44 ms 50580 KB Output is correct
21 Correct 56 ms 50084 KB Output is correct
22 Correct 45 ms 49996 KB Output is correct
23 Correct 46 ms 50028 KB Output is correct
24 Correct 46 ms 50092 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 42600 KB Output is correct
2 Correct 20 ms 42580 KB Output is correct
3 Correct 19 ms 42604 KB Output is correct
4 Correct 19 ms 42596 KB Output is correct
5 Correct 20 ms 42632 KB Output is correct
6 Correct 21 ms 42604 KB Output is correct
7 Correct 20 ms 42588 KB Output is correct
8 Correct 22 ms 42576 KB Output is correct
9 Correct 20 ms 42600 KB Output is correct
10 Correct 23 ms 42572 KB Output is correct
11 Correct 20 ms 42932 KB Output is correct
12 Correct 25 ms 42980 KB Output is correct
13 Correct 21 ms 42928 KB Output is correct
14 Correct 24 ms 42944 KB Output is correct
15 Correct 24 ms 42856 KB Output is correct
16 Correct 21 ms 42872 KB Output is correct
17 Correct 22 ms 42836 KB Output is correct
18 Correct 46 ms 50580 KB Output is correct
19 Correct 44 ms 50488 KB Output is correct
20 Correct 44 ms 50580 KB Output is correct
21 Correct 56 ms 50084 KB Output is correct
22 Correct 45 ms 49996 KB Output is correct
23 Correct 46 ms 50028 KB Output is correct
24 Correct 46 ms 50092 KB Output is correct
25 Correct 19 ms 42524 KB Output is correct
26 Correct 48 ms 50224 KB Output is correct
27 Correct 47 ms 50228 KB Output is correct
28 Correct 47 ms 50288 KB Output is correct
29 Correct 48 ms 50192 KB Output is correct
30 Correct 52 ms 48496 KB Output is correct
31 Correct 44 ms 48092 KB Output is correct
32 Correct 45 ms 48464 KB Output is correct
33 Correct 52 ms 48204 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 42600 KB Output is correct
2 Correct 20 ms 42580 KB Output is correct
3 Correct 19 ms 42604 KB Output is correct
4 Correct 19 ms 42596 KB Output is correct
5 Correct 20 ms 42632 KB Output is correct
6 Correct 21 ms 42604 KB Output is correct
7 Correct 20 ms 42588 KB Output is correct
8 Correct 22 ms 42576 KB Output is correct
9 Correct 20 ms 42600 KB Output is correct
10 Correct 23 ms 42572 KB Output is correct
11 Correct 20 ms 42932 KB Output is correct
12 Correct 25 ms 42980 KB Output is correct
13 Correct 21 ms 42928 KB Output is correct
14 Correct 24 ms 42944 KB Output is correct
15 Correct 24 ms 42856 KB Output is correct
16 Correct 21 ms 42872 KB Output is correct
17 Correct 22 ms 42836 KB Output is correct
18 Correct 46 ms 50580 KB Output is correct
19 Correct 44 ms 50488 KB Output is correct
20 Correct 44 ms 50580 KB Output is correct
21 Correct 56 ms 50084 KB Output is correct
22 Correct 45 ms 49996 KB Output is correct
23 Correct 46 ms 50028 KB Output is correct
24 Correct 46 ms 50092 KB Output is correct
25 Correct 1459 ms 461860 KB Output is correct
26 Correct 1576 ms 458852 KB Output is correct
27 Correct 1588 ms 458808 KB Output is correct
28 Correct 1843 ms 438468 KB Output is correct
29 Correct 1823 ms 438476 KB Output is correct
30 Correct 1913 ms 438500 KB Output is correct
31 Correct 1823 ms 438476 KB Output is correct

Subtask #6
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 42580 KB Output is correct
2 Correct 26 ms 42724 KB Output is correct
3 Execution timed out 2113 ms 403844 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #7
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 42600 KB Output is correct
2 Correct 20 ms 42580 KB Output is correct
3 Correct 19 ms 42604 KB Output is correct
4 Correct 19 ms 42596 KB Output is correct
5 Correct 20 ms 42632 KB Output is correct
6 Correct 21 ms 42604 KB Output is correct
7 Correct 20 ms 42588 KB Output is correct
8 Correct 22 ms 42576 KB Output is correct
9 Correct 20 ms 42600 KB Output is correct
10 Correct 23 ms 42572 KB Output is correct
11 Correct 20 ms 42932 KB Output is correct
12 Correct 25 ms 42980 KB Output is correct
13 Correct 21 ms 42928 KB Output is correct
14 Correct 24 ms 42944 KB Output is correct
15 Correct 24 ms 42856 KB Output is correct
16 Correct 21 ms 42872 KB Output is correct
17 Correct 22 ms 42836 KB Output is correct
18 Correct 46 ms 50580 KB Output is correct
19 Correct 44 ms 50488 KB Output is correct
20 Correct 44 ms 50580 KB Output is correct
21 Correct 56 ms 50084 KB Output is correct
22 Correct 45 ms 49996 KB Output is correct
23 Correct 46 ms 50028 KB Output is correct
24 Correct 46 ms 50092 KB Output is correct
25 Correct 19 ms 42524 KB Output is correct
26 Correct 48 ms 50224 KB Output is correct
27 Correct 47 ms 50228 KB Output is correct
28 Correct 47 ms 50288 KB Output is correct
29 Correct 48 ms 50192 KB Output is correct
30 Correct 52 ms 48496 KB Output is correct
31 Correct 44 ms 48092 KB Output is correct
32 Correct 45 ms 48464 KB Output is correct
33 Correct 52 ms 48204 KB Output is correct
34 Correct 1459 ms 461860 KB Output is correct
35 Correct 1576 ms 458852 KB Output is correct
36 Correct 1588 ms 458808 KB Output is correct
37 Correct 1843 ms 438468 KB Output is correct
38 Correct 1823 ms 438476 KB Output is correct
39 Correct 1913 ms 438500 KB Output is correct
40 Correct 1823 ms 438476 KB Output is correct
41 Correct 24 ms 42580 KB Output is correct
42 Correct 26 ms 42724 KB Output is correct
43 Execution timed out 2113 ms 403844 KB Time limit exceeded
44 Halted 0 ms 0 KB -