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Submission #1059182

# Submission time Handle Problem Language Result Execution time Memory
1059182 2024-08-14T18:16:57 Z MilosMilutinovic Unique Cities (JOI19_ho_t5) C++14
4 / 100
 2000 ms 274432 KB 
#include <bits/stdc++.h>

using namespace std;

int main() {
  ios::sync_with_stdio(false);
  cin.tie(0);
  int n, m;
  cin >> n >> m;
  vector<vector<int>> g(n);
  for (int i = 1; i < n; i++) {
    int x, y;
    cin >> x >> y;
    --x; --y;
    g[x].push_back(y);
    g[y].push_back(x);
  }
  vector<int> c(n);
  for (int i = 0; i < n; i++) {
    cin >> c[i];
    --c[i];
  }
  auto Bfs = [&](int v) {
    vector<int> d(n, -1);
    vector<int> que(1, v);
    d[v] = 0;
    for (int b = 0; b < (int) que.size(); b++) {
      int i = que[b];
      for (int j : g[i]) {
        if (d[j] == -1) {
          d[j] = d[i] + 1;
          que.push_back(j);
        }
      }
    }
    return d;
  }; 
  int x, y;
  {
    vector<int> d = Bfs(0);
    x = 0;
    for (int i = 1; i < n; i++) {
      if (d[i] > d[x]) {
        x = i;
      }
    }
  }
  {
    vector<int> d = Bfs(x);
    y = 0;
    for (int i = 1; i < n; i++) {
      if (d[i] > d[y]) {
        y = i;
      }
    }
  }
  vector<vector<int>> d(2);
  d[0] = Bfs(x);
  d[1] = Bfs(y);
  vector<int> res(n);
  for (int foo = 0; foo < 2; foo++) {
    int root = (foo == 0 ? x : y);
    vector<int> mx(n);
    vector<int> pr(n);
    vector<int> dep(n);
    function<void(int, int)> Dfs = [&](int v, int pv) {
      pr[v] = pv;
      mx[v] = 1;
      for (int u : g[v]) {
        if (u == pv) {
          continue;
        }
        dep[u] = dep[v] + 1;
        Dfs(u, v);
        mx[v] = max(mx[v], mx[u] + 1);
      }
    };
    Dfs(root, root);
    vector<int> f(n, 1);
    auto Add = [&](int v, int d, int p) {
      while (d--) {
        f[v] += p;
        v = pr[v];
      }
    };
    vector<set<int>> cols(n);
    function<void(int, int)> Solve = [&](int v, int pv) {
      if (d[foo][v] >= d[foo ^ 1][v]) {
        Add(v, mx[v], -1);
        vector<bool> was(m);
        res[v] = 0;
        for (int u = pr[v]; ; u = pr[u]) {
          if (f[u] == 1) {
            res[v] = (int) cols[u].size();
            // res[v] += !was[c[u]];
            // was[c[u]] = true;
            break;
          }
          if (u == root) {
            break;
          }
        }
        Add(v, mx[v], +1);
      }
      multiset<int> st;
      for (int u : g[v]) {
        if (u == pv) {
          continue;
        }
        st.insert(mx[u]);
      }
      for (int u : g[v]) {
        if (u == pv) {
          continue;
        }
        st.erase(st.find(mx[u]));
        if (!st.empty()) {
          Add(pr[v], *prev(st.end()), -1);
        }
        cols[v].clear();
        for (int x = pr[v]; ; x = pr[x]) {
          if (f[x] == 1) {
            cols[v] = cols[x];
            break;
          }
          if (x == root) {
            break;
          }
        }
        cols[v].insert(c[v]);
        Solve(u, v);
        if (!st.empty()) {
          Add(pr[v], *prev(st.end()), +1);
        }
        st.insert(mx[u]);
      }
    };
    Solve(root, root);
  }
  for (int i = 0; i < n; i++) {
    cout << res[i] << '\n';
  }
  return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 3 ms 860 KB Output is correct
3 Correct 25 ms 16408 KB Output is correct
4 Correct 24 ms 10844 KB Output is correct
5 Correct 2 ms 860 KB Output is correct
6 Correct 7 ms 1540 KB Output is correct
7 Correct 6 ms 1116 KB Output is correct
8 Correct 2 ms 860 KB Output is correct
9 Correct 3 ms 860 KB Output is correct
10 Correct 3 ms 860 KB Output is correct
11 Correct 3 ms 980 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 8 ms 1532 KB Output is correct
14 Correct 5 ms 860 KB Output is correct
15 Correct 6 ms 1372 KB Output is correct
16 Correct 1 ms 860 KB Output is correct
17 Correct 9 ms 1116 KB Output is correct
18 Correct 7 ms 1116 KB Output is correct
19 Correct 2 ms 860 KB Output is correct
20 Correct 147 ms 65844 KB Output is correct
21 Correct 38 ms 16220 KB Output is correct
22 Correct 3 ms 856 KB Output is correct
23 Correct 3 ms 1116 KB Output is correct
24 Correct 3 ms 1096 KB Output is correct
25 Correct 2 ms 860 KB Output is correct
26 Correct 1 ms 860 KB Output is correct
27 Correct 76 ms 33592 KB Output is correct
28 Correct 54 ms 23856 KB Output is correct
29 Correct 22 ms 9308 KB Output is correct
30 Correct 2 ms 860 KB Output is correct
31 Correct 30 ms 14428 KB Output is correct
32 Correct 37 ms 16220 KB Output is correct

Subtask #2
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 312 ms 20892 KB Output is correct
2 Execution timed out 2057 ms 32912 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #3
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 650 ms 37500 KB Output is correct
2 Runtime error 268 ms 274432 KB Execution killed with signal 9
3 Halted 0 ms 0 KB -

Subtask #4
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 3 ms 860 KB Output is correct
3 Correct 25 ms 16408 KB Output is correct
4 Correct 24 ms 10844 KB Output is correct
5 Correct 2 ms 860 KB Output is correct
6 Correct 7 ms 1540 KB Output is correct
7 Correct 6 ms 1116 KB Output is correct
8 Correct 2 ms 860 KB Output is correct
9 Correct 3 ms 860 KB Output is correct
10 Correct 3 ms 860 KB Output is correct
11 Correct 3 ms 980 KB Output is correct
12 Correct 1 ms 860 KB Output is correct
13 Correct 8 ms 1532 KB Output is correct
14 Correct 5 ms 860 KB Output is correct
15 Correct 6 ms 1372 KB Output is correct
16 Correct 1 ms 860 KB Output is correct
17 Correct 9 ms 1116 KB Output is correct
18 Correct 7 ms 1116 KB Output is correct
19 Correct 2 ms 860 KB Output is correct
20 Correct 147 ms 65844 KB Output is correct
21 Correct 38 ms 16220 KB Output is correct
22 Correct 3 ms 856 KB Output is correct
23 Correct 3 ms 1116 KB Output is correct
24 Correct 3 ms 1096 KB Output is correct
25 Correct 2 ms 860 KB Output is correct
26 Correct 1 ms 860 KB Output is correct
27 Correct 76 ms 33592 KB Output is correct
28 Correct 54 ms 23856 KB Output is correct
29 Correct 22 ms 9308 KB Output is correct
30 Correct 2 ms 860 KB Output is correct
31 Correct 30 ms 14428 KB Output is correct
32 Correct 37 ms 16220 KB Output is correct
33 Correct 312 ms 20892 KB Output is correct
34 Execution timed out 2057 ms 32912 KB Time limit exceeded
35 Halted 0 ms 0 KB -