oj.uz

Submission #1028826

# Submission time Handle Problem Language Result Execution time Memory
1028826 2024-07-20T09:15:14 Z NeroZein Cat Exercise (JOI23_ho_t4) C++17
100 / 100
 197 ms 51376 KB 
#include "bits/stdc++.h"
using namespace std;

#ifdef Nero
#include "Deb.h"
#else
#define debug(...)
#endif

const int LOG = 18;
const int N = 2e5 + 5; 

int a[N];
int dep[N];
int up[LOG][N];
bool active[N];
vector<int> g[N];
long long ans[N];
int p[N], sz[N], mx[N];

void dfs(int v, int pr) {
  for (int u : g[v]) {
    if (u == pr) {
      continue; 
    }
    dep[u] = dep[v] + 1; 
    up[0][u] = v; 
    for (int j = 1; j < LOG; ++j) {
      up[j][u] = up[j - 1][up[j - 1][u]];
    }
    dfs(u, v);
  }
}

int lca(int u, int v) {
  if (dep[u] < dep[v]) swap(u, v);
  for (int j = 0; j < LOG; ++j) {
    if ((dep[u] - dep[v]) >> j & 1) {
      u = up[j][u];
    }
  }
  if (u == v) {
    return u;
  }
  for (int j = LOG - 1; j >= 0; --j) {
    if (up[j][u] != up[j][v]) {
      u = up[j][u]; 
      v = up[j][v];
    }
  }
  return up[0][u];
}

int dist(int u, int v) {
  return dep[u] + dep[v] - 2 * dep[lca(u, v)];
}

int get(int v) {
  return p[v] = (p[v] == v ? v : get(p[v]));
}

void unite(int u, int v) {
  u = get(u); v = get(v); 
  p[u] = v;
  sz[v] += sz[u];
  int w = dist(mx[u], v);
  ans[v] = max(ans[v], ans[u] + w);
}

int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  int n;
  cin >> n;
  for (int i = 1; i <= n; ++i) {
    cin >> a[i];
  }
  for(int i = 0; i < n - 1; ++i) {
    int u, v;
    cin >> u >> v;
    g[u].push_back(v);
    g[v].push_back(u);
  }
  dfs(1, 1); 
  vector<int> ord(n);
  iota(ord.begin(), ord.end(), 1);
  sort(ord.begin(), ord.end(), [&](int u, int v) {
    return a[u] < a[v];
  });
  for (int i = 1; i <= n; ++i) {
    p[i] = i;
    sz[i] = 1; 
    mx[i] = i; 
  }
  for (int v : ord) {
    for (int u : g[v]) {
      if (active[u]) {
        unite(u, v);        
      }
    }
    active[v] = true;
  }
  cout << ans[get(ord.back())] << '\n';
  return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5212 KB Output is correct
2 Correct 2 ms 5212 KB Output is correct
3 Correct 2 ms 5284 KB Output is correct
4 Correct 2 ms 5212 KB Output is correct
5 Correct 2 ms 5212 KB Output is correct
6 Correct 2 ms 5212 KB Output is correct
7 Correct 2 ms 5212 KB Output is correct
8 Correct 2 ms 5212 KB Output is correct
9 Correct 2 ms 5212 KB Output is correct
10 Correct 2 ms 5212 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5212 KB Output is correct
2 Correct 2 ms 5212 KB Output is correct
3 Correct 2 ms 5284 KB Output is correct
4 Correct 2 ms 5212 KB Output is correct
5 Correct 2 ms 5212 KB Output is correct
6 Correct 2 ms 5212 KB Output is correct
7 Correct 2 ms 5212 KB Output is correct
8 Correct 2 ms 5212 KB Output is correct
9 Correct 2 ms 5212 KB Output is correct
10 Correct 2 ms 5212 KB Output is correct
11 Correct 3 ms 5212 KB Output is correct
12 Correct 2 ms 5212 KB Output is correct
13 Correct 2 ms 5128 KB Output is correct
14 Correct 2 ms 5212 KB Output is correct
15 Correct 2 ms 5168 KB Output is correct
16 Correct 2 ms 5212 KB Output is correct
17 Correct 2 ms 5176 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5212 KB Output is correct
2 Correct 2 ms 5212 KB Output is correct
3 Correct 2 ms 5284 KB Output is correct
4 Correct 2 ms 5212 KB Output is correct
5 Correct 2 ms 5212 KB Output is correct
6 Correct 2 ms 5212 KB Output is correct
7 Correct 2 ms 5212 KB Output is correct
8 Correct 2 ms 5212 KB Output is correct
9 Correct 2 ms 5212 KB Output is correct
10 Correct 2 ms 5212 KB Output is correct
11 Correct 3 ms 5212 KB Output is correct
12 Correct 2 ms 5212 KB Output is correct
13 Correct 2 ms 5128 KB Output is correct
14 Correct 2 ms 5212 KB Output is correct
15 Correct 2 ms 5168 KB Output is correct
16 Correct 2 ms 5212 KB Output is correct
17 Correct 2 ms 5176 KB Output is correct
18 Correct 4 ms 6236 KB Output is correct
19 Correct 4 ms 6208 KB Output is correct
20 Correct 4 ms 6236 KB Output is correct
21 Correct 4 ms 6236 KB Output is correct
22 Correct 4 ms 6236 KB Output is correct
23 Correct 4 ms 6236 KB Output is correct
24 Correct 4 ms 6232 KB Output is correct

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5212 KB Output is correct
2 Correct 2 ms 5212 KB Output is correct
3 Correct 2 ms 5284 KB Output is correct
4 Correct 2 ms 5212 KB Output is correct
5 Correct 2 ms 5212 KB Output is correct
6 Correct 2 ms 5212 KB Output is correct
7 Correct 2 ms 5212 KB Output is correct
8 Correct 2 ms 5212 KB Output is correct
9 Correct 2 ms 5212 KB Output is correct
10 Correct 2 ms 5212 KB Output is correct
11 Correct 3 ms 5212 KB Output is correct
12 Correct 2 ms 5212 KB Output is correct
13 Correct 2 ms 5128 KB Output is correct
14 Correct 2 ms 5212 KB Output is correct
15 Correct 2 ms 5168 KB Output is correct
16 Correct 2 ms 5212 KB Output is correct
17 Correct 2 ms 5176 KB Output is correct
18 Correct 4 ms 6236 KB Output is correct
19 Correct 4 ms 6208 KB Output is correct
20 Correct 4 ms 6236 KB Output is correct
21 Correct 4 ms 6236 KB Output is correct
22 Correct 4 ms 6236 KB Output is correct
23 Correct 4 ms 6236 KB Output is correct
24 Correct 4 ms 6232 KB Output is correct
25 Correct 2 ms 5208 KB Output is correct
26 Correct 5 ms 6204 KB Output is correct
27 Correct 5 ms 6120 KB Output is correct
28 Correct 5 ms 5976 KB Output is correct
29 Correct 5 ms 6236 KB Output is correct
30 Correct 4 ms 6036 KB Output is correct
31 Correct 4 ms 5980 KB Output is correct
32 Correct 4 ms 5980 KB Output is correct
33 Correct 5 ms 5824 KB Output is correct

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5212 KB Output is correct
2 Correct 2 ms 5212 KB Output is correct
3 Correct 2 ms 5284 KB Output is correct
4 Correct 2 ms 5212 KB Output is correct
5 Correct 2 ms 5212 KB Output is correct
6 Correct 2 ms 5212 KB Output is correct
7 Correct 2 ms 5212 KB Output is correct
8 Correct 2 ms 5212 KB Output is correct
9 Correct 2 ms 5212 KB Output is correct
10 Correct 2 ms 5212 KB Output is correct
11 Correct 3 ms 5212 KB Output is correct
12 Correct 2 ms 5212 KB Output is correct
13 Correct 2 ms 5128 KB Output is correct
14 Correct 2 ms 5212 KB Output is correct
15 Correct 2 ms 5168 KB Output is correct
16 Correct 2 ms 5212 KB Output is correct
17 Correct 2 ms 5176 KB Output is correct
18 Correct 4 ms 6236 KB Output is correct
19 Correct 4 ms 6208 KB Output is correct
20 Correct 4 ms 6236 KB Output is correct
21 Correct 4 ms 6236 KB Output is correct
22 Correct 4 ms 6236 KB Output is correct
23 Correct 4 ms 6236 KB Output is correct
24 Correct 4 ms 6232 KB Output is correct
25 Correct 102 ms 51284 KB Output is correct
26 Correct 89 ms 51252 KB Output is correct
27 Correct 104 ms 51284 KB Output is correct
28 Correct 140 ms 51376 KB Output is correct
29 Correct 107 ms 51284 KB Output is correct
30 Correct 100 ms 51280 KB Output is correct
31 Correct 110 ms 51284 KB Output is correct

Subtask #6
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5208 KB Output is correct
2 Correct 2 ms 5212 KB Output is correct
3 Correct 112 ms 35076 KB Output is correct
4 Correct 119 ms 35112 KB Output is correct
5 Correct 121 ms 35152 KB Output is correct

Subtask #7
26.0 / 26.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 5212 KB Output is correct
2 Correct 2 ms 5212 KB Output is correct
3 Correct 2 ms 5284 KB Output is correct
4 Correct 2 ms 5212 KB Output is correct
5 Correct 2 ms 5212 KB Output is correct
6 Correct 2 ms 5212 KB Output is correct
7 Correct 2 ms 5212 KB Output is correct
8 Correct 2 ms 5212 KB Output is correct
9 Correct 2 ms 5212 KB Output is correct
10 Correct 2 ms 5212 KB Output is correct
11 Correct 3 ms 5212 KB Output is correct
12 Correct 2 ms 5212 KB Output is correct
13 Correct 2 ms 5128 KB Output is correct
14 Correct 2 ms 5212 KB Output is correct
15 Correct 2 ms 5168 KB Output is correct
16 Correct 2 ms 5212 KB Output is correct
17 Correct 2 ms 5176 KB Output is correct
18 Correct 4 ms 6236 KB Output is correct
19 Correct 4 ms 6208 KB Output is correct
20 Correct 4 ms 6236 KB Output is correct
21 Correct 4 ms 6236 KB Output is correct
22 Correct 4 ms 6236 KB Output is correct
23 Correct 4 ms 6236 KB Output is correct
24 Correct 4 ms 6232 KB Output is correct
25 Correct 2 ms 5208 KB Output is correct
26 Correct 5 ms 6204 KB Output is correct
27 Correct 5 ms 6120 KB Output is correct
28 Correct 5 ms 5976 KB Output is correct
29 Correct 5 ms 6236 KB Output is correct
30 Correct 4 ms 6036 KB Output is correct
31 Correct 4 ms 5980 KB Output is correct
32 Correct 4 ms 5980 KB Output is correct
33 Correct 5 ms 5824 KB Output is correct
34 Correct 102 ms 51284 KB Output is correct
35 Correct 89 ms 51252 KB Output is correct
36 Correct 104 ms 51284 KB Output is correct
37 Correct 140 ms 51376 KB Output is correct
38 Correct 107 ms 51284 KB Output is correct
39 Correct 100 ms 51280 KB Output is correct
40 Correct 110 ms 51284 KB Output is correct
41 Correct 2 ms 5208 KB Output is correct
42 Correct 2 ms 5212 KB Output is correct
43 Correct 112 ms 35076 KB Output is correct
44 Correct 119 ms 35112 KB Output is correct
45 Correct 121 ms 35152 KB Output is correct
46 Correct 197 ms 44276 KB Output is correct
47 Correct 188 ms 42788 KB Output is correct
48 Correct 192 ms 44828 KB Output is correct
49 Correct 186 ms 42908 KB Output is correct
50 Correct 193 ms 35840 KB Output is correct
51 Correct 144 ms 35624 KB Output is correct
52 Correct 164 ms 35644 KB Output is correct
53 Correct 150 ms 35672 KB Output is correct