oj.uz

Submission #786822

# Submission time Handle Problem Language Result Execution time Memory
786822 2023-07-18T13:13:40 Z tch1cherin Cat Exercise (JOI23_ho_t4) C++17
51 / 100
 2000 ms 462528 KB 
#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 20 ms 42580 KB Output is correct
2 Correct 19 ms 42560 KB Output is correct
3 Correct 19 ms 42588 KB Output is correct
4 Correct 19 ms 42600 KB Output is correct
5 Correct 18 ms 42600 KB Output is correct
6 Correct 19 ms 42600 KB Output is correct
7 Correct 18 ms 42532 KB Output is correct
8 Correct 18 ms 42548 KB Output is correct
9 Correct 18 ms 42500 KB Output is correct
10 Correct 18 ms 42604 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 42580 KB Output is correct
2 Correct 19 ms 42560 KB Output is correct
3 Correct 19 ms 42588 KB Output is correct
4 Correct 19 ms 42600 KB Output is correct
5 Correct 18 ms 42600 KB Output is correct
6 Correct 19 ms 42600 KB Output is correct
7 Correct 18 ms 42532 KB Output is correct
8 Correct 18 ms 42548 KB Output is correct
9 Correct 18 ms 42500 KB Output is correct
10 Correct 18 ms 42604 KB Output is correct
11 Correct 19 ms 42896 KB Output is correct
12 Correct 20 ms 42868 KB Output is correct
13 Correct 20 ms 42972 KB Output is correct
14 Correct 19 ms 42952 KB Output is correct
15 Correct 21 ms 42860 KB Output is correct
16 Correct 19 ms 42860 KB Output is correct
17 Correct 20 ms 42860 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 42580 KB Output is correct
2 Correct 19 ms 42560 KB Output is correct
3 Correct 19 ms 42588 KB Output is correct
4 Correct 19 ms 42600 KB Output is correct
5 Correct 18 ms 42600 KB Output is correct
6 Correct 19 ms 42600 KB Output is correct
7 Correct 18 ms 42532 KB Output is correct
8 Correct 18 ms 42548 KB Output is correct
9 Correct 18 ms 42500 KB Output is correct
10 Correct 18 ms 42604 KB Output is correct
11 Correct 19 ms 42896 KB Output is correct
12 Correct 20 ms 42868 KB Output is correct
13 Correct 20 ms 42972 KB Output is correct
14 Correct 19 ms 42952 KB Output is correct
15 Correct 21 ms 42860 KB Output is correct
16 Correct 19 ms 42860 KB Output is correct
17 Correct 20 ms 42860 KB Output is correct
18 Correct 39 ms 50544 KB Output is correct
19 Correct 41 ms 50452 KB Output is correct
20 Correct 41 ms 50472 KB Output is correct
21 Correct 45 ms 50184 KB Output is correct
22 Correct 45 ms 50240 KB Output is correct
23 Correct 44 ms 50196 KB Output is correct
24 Correct 44 ms 50164 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 42580 KB Output is correct
2 Correct 19 ms 42560 KB Output is correct
3 Correct 19 ms 42588 KB Output is correct
4 Correct 19 ms 42600 KB Output is correct
5 Correct 18 ms 42600 KB Output is correct
6 Correct 19 ms 42600 KB Output is correct
7 Correct 18 ms 42532 KB Output is correct
8 Correct 18 ms 42548 KB Output is correct
9 Correct 18 ms 42500 KB Output is correct
10 Correct 18 ms 42604 KB Output is correct
11 Correct 19 ms 42896 KB Output is correct
12 Correct 20 ms 42868 KB Output is correct
13 Correct 20 ms 42972 KB Output is correct
14 Correct 19 ms 42952 KB Output is correct
15 Correct 21 ms 42860 KB Output is correct
16 Correct 19 ms 42860 KB Output is correct
17 Correct 20 ms 42860 KB Output is correct
18 Correct 39 ms 50544 KB Output is correct
19 Correct 41 ms 50452 KB Output is correct
20 Correct 41 ms 50472 KB Output is correct
21 Correct 45 ms 50184 KB Output is correct
22 Correct 45 ms 50240 KB Output is correct
23 Correct 44 ms 50196 KB Output is correct
24 Correct 44 ms 50164 KB Output is correct
25 Correct 19 ms 42580 KB Output is correct
26 Correct 47 ms 50232 KB Output is correct
27 Correct 48 ms 50232 KB Output is correct
28 Correct 49 ms 50212 KB Output is correct
29 Correct 61 ms 50160 KB Output is correct
30 Correct 44 ms 48316 KB Output is correct
31 Correct 43 ms 48084 KB Output is correct
32 Correct 44 ms 48444 KB Output is correct
33 Correct 44 ms 48152 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 42580 KB Output is correct
2 Correct 19 ms 42560 KB Output is correct
3 Correct 19 ms 42588 KB Output is correct
4 Correct 19 ms 42600 KB Output is correct
5 Correct 18 ms 42600 KB Output is correct
6 Correct 19 ms 42600 KB Output is correct
7 Correct 18 ms 42532 KB Output is correct
8 Correct 18 ms 42548 KB Output is correct
9 Correct 18 ms 42500 KB Output is correct
10 Correct 18 ms 42604 KB Output is correct
11 Correct 19 ms 42896 KB Output is correct
12 Correct 20 ms 42868 KB Output is correct
13 Correct 20 ms 42972 KB Output is correct
14 Correct 19 ms 42952 KB Output is correct
15 Correct 21 ms 42860 KB Output is correct
16 Correct 19 ms 42860 KB Output is correct
17 Correct 20 ms 42860 KB Output is correct
18 Correct 39 ms 50544 KB Output is correct
19 Correct 41 ms 50452 KB Output is correct
20 Correct 41 ms 50472 KB Output is correct
21 Correct 45 ms 50184 KB Output is correct
22 Correct 45 ms 50240 KB Output is correct
23 Correct 44 ms 50196 KB Output is correct
24 Correct 44 ms 50164 KB Output is correct
25 Correct 1501 ms 462528 KB Output is correct
26 Correct 1494 ms 459760 KB Output is correct
27 Correct 1509 ms 459680 KB Output is correct
28 Correct 1834 ms 446820 KB Output is correct
29 Correct 1861 ms 446756 KB Output is correct
30 Correct 1899 ms 446748 KB Output is correct
31 Correct 1896 ms 446900 KB Output is correct

Subtask #6
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 23 ms 42580 KB Output is correct
2 Correct 23 ms 42772 KB Output is correct
3 Execution timed out 2101 ms 407412 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #7
0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 20 ms 42580 KB Output is correct
2 Correct 19 ms 42560 KB Output is correct
3 Correct 19 ms 42588 KB Output is correct
4 Correct 19 ms 42600 KB Output is correct
5 Correct 18 ms 42600 KB Output is correct
6 Correct 19 ms 42600 KB Output is correct
7 Correct 18 ms 42532 KB Output is correct
8 Correct 18 ms 42548 KB Output is correct
9 Correct 18 ms 42500 KB Output is correct
10 Correct 18 ms 42604 KB Output is correct
11 Correct 19 ms 42896 KB Output is correct
12 Correct 20 ms 42868 KB Output is correct
13 Correct 20 ms 42972 KB Output is correct
14 Correct 19 ms 42952 KB Output is correct
15 Correct 21 ms 42860 KB Output is correct
16 Correct 19 ms 42860 KB Output is correct
17 Correct 20 ms 42860 KB Output is correct
18 Correct 39 ms 50544 KB Output is correct
19 Correct 41 ms 50452 KB Output is correct
20 Correct 41 ms 50472 KB Output is correct
21 Correct 45 ms 50184 KB Output is correct
22 Correct 45 ms 50240 KB Output is correct
23 Correct 44 ms 50196 KB Output is correct
24 Correct 44 ms 50164 KB Output is correct
25 Correct 19 ms 42580 KB Output is correct
26 Correct 47 ms 50232 KB Output is correct
27 Correct 48 ms 50232 KB Output is correct
28 Correct 49 ms 50212 KB Output is correct
29 Correct 61 ms 50160 KB Output is correct
30 Correct 44 ms 48316 KB Output is correct
31 Correct 43 ms 48084 KB Output is correct
32 Correct 44 ms 48444 KB Output is correct
33 Correct 44 ms 48152 KB Output is correct
34 Correct 1501 ms 462528 KB Output is correct
35 Correct 1494 ms 459760 KB Output is correct
36 Correct 1509 ms 459680 KB Output is correct
37 Correct 1834 ms 446820 KB Output is correct
38 Correct 1861 ms 446756 KB Output is correct
39 Correct 1899 ms 446748 KB Output is correct
40 Correct 1896 ms 446900 KB Output is correct
41 Correct 23 ms 42580 KB Output is correct
42 Correct 23 ms 42772 KB Output is correct
43 Execution timed out 2101 ms 407412 KB Time limit exceeded
44 Halted 0 ms 0 KB -