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Submission #824730

# Submission time Handle Problem Language Result Execution time Memory
824730 2023-08-14T09:14:02 Z tch1cherin Village (BOI20_village) C++17
56 / 100
 100 ms 21360 KB 
#include <bits/stdc++.h>
using namespace std;

const int MAX_N = 1e5 + 5, MAX_L = __lg(MAX_N) + 1;
vector<int> G[MAX_N];
int up[MAX_L][MAX_N];
int depth[MAX_N];
vector<int> ord;

void DFS(int u, int p) {
  depth[u] = (u == 0 ? 0 : depth[p] + 1);
  ord.push_back(u);
  up[0][u] = p;
  for (int i = 1; i < MAX_L; i++) {
    up[i][u] = up[i - 1][up[i - 1][u]];
  }
  for (int v : G[u]) {
    if (v != p) {
      DFS(v, u);
    }
  }
}

int lca(int u, int v) {
  if (depth[u] < depth[v]) {
    swap(u, v);
  }
  for (int i = MAX_L - 1; i >= 0; i--) {
    if (depth[u] - depth[v] >= (1 << i)) {
      u = up[i][u];
    }
  }
  if (u == v) {
    return u;
  }
  for (int i = MAX_L - 1; i >= 0; i--) {
    if (up[i][u] != up[i][v]) {
      u = up[i][u];
      v = up[i][v];
    }
  }
  return up[0][u];
}

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

int main() {
  cin.tie(nullptr)->sync_with_stdio(false);
  int N;
  cin >> N;
  for (int i = 0; i < N - 1; i++) {
    int u, v;
    cin >> u >> v;
    u--, v--;
    G[u].push_back(v);
    G[v].push_back(u);
  }
  DFS(0, 0);
  int64_t smallest = 0, largest = 0;
  queue<int> leaves;
  vector<int> value(N), degree(N);
  iota(value.begin(), value.end(), 0);
  for (int i = 0; i < N; i++) {
    degree[i] = (int)G[i].size();
    if (degree[i] == 1) {
      leaves.push(i);
    }
  }
  vector<bool> deleted(N, false);
  while (!leaves.empty()) {
    int u = leaves.front();
    leaves.pop();
    deleted[u] = true;
    for (int v : G[u]) {
      if (!deleted[v]) {
        degree[v]--;
        if (degree[v] == 1) {
          if (value[u] == u) {
            smallest += 2;
            swap(value[u], value[v]);
          }
          leaves.push(v);
        }
      }
    }
    if (value[u] == u) {
      smallest += 2;
      swap(value[u], value[G[u][0]]);
    }
  }
  vector<int> large(N);
  for (int i = 0; i < N; i++) {
    largest += distance(ord[i], ord[(i + N / 2) % N]);
    large[ord[i]] = ord[(i + N / 2) % N];
  }
  cout << smallest << " " << largest << "\n";
  for (int i = 0; i < N; i++) {
    cout << 1 + value[i] << " \n"[i + 1 == N];
  }
  for (int i = 0; i < N; i++) {
    cout << 1 + large[i] << " \n"[i + 1 == N];
  }
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2680 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 1 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 1 ms 2644 KB Output is correct
6 Correct 1 ms 2676 KB Output is correct
7 Correct 1 ms 2676 KB Output is correct
8 Correct 1 ms 2644 KB Output is correct
9 Correct 1 ms 2680 KB Output is correct
10 Correct 1 ms 2644 KB Output is correct
11 Correct 1 ms 2644 KB Output is correct
12 Correct 1 ms 2644 KB Output is correct
13 Correct 1 ms 2644 KB Output is correct
14 Correct 1 ms 2644 KB Output is correct
15 Correct 2 ms 2644 KB Output is correct
16 Correct 1 ms 2644 KB Output is correct
17 Correct 1 ms 2672 KB Output is correct

Subtask #2
19.0 / 38.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2772 KB Output is correct
2 Correct 2 ms 2804 KB Output is correct
3 Partially correct 1 ms 2800 KB Partially correct
4 Correct 2 ms 2812 KB Output is correct
5 Partially correct 2 ms 2772 KB Partially correct
6 Partially correct 2 ms 2772 KB Partially correct
7 Correct 2 ms 2900 KB Output is correct
8 Partially correct 2 ms 2772 KB Partially correct
9 Partially correct 2 ms 2772 KB Partially correct
10 Correct 2 ms 2900 KB Output is correct
11 Partially correct 2 ms 2900 KB Partially correct
12 Correct 2 ms 2772 KB Output is correct
13 Correct 2 ms 2812 KB Output is correct
14 Correct 2 ms 2900 KB Output is correct
15 Correct 2 ms 2772 KB Output is correct
16 Correct 2 ms 2812 KB Output is correct
17 Correct 2 ms 2900 KB Output is correct
18 Correct 2 ms 2900 KB Output is correct
19 Correct 2 ms 2900 KB Output is correct
20 Correct 2 ms 2900 KB Output is correct
21 Correct 2 ms 2808 KB Output is correct
22 Correct 2 ms 2900 KB Output is correct
23 Partially correct 2 ms 2772 KB Partially correct
24 Partially correct 2 ms 2772 KB Partially correct
25 Correct 2 ms 2772 KB Output is correct
26 Partially correct 2 ms 2900 KB Partially correct
27 Correct 2 ms 2772 KB Output is correct
28 Partially correct 2 ms 2900 KB Partially correct
29 Correct 2 ms 2900 KB Output is correct
30 Correct 2 ms 2900 KB Output is correct

Subtask #3
25.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2680 KB Output is correct
2 Correct 1 ms 2644 KB Output is correct
3 Correct 1 ms 2644 KB Output is correct
4 Correct 2 ms 2644 KB Output is correct
5 Correct 1 ms 2644 KB Output is correct
6 Correct 1 ms 2676 KB Output is correct
7 Correct 1 ms 2676 KB Output is correct
8 Correct 1 ms 2644 KB Output is correct
9 Correct 1 ms 2680 KB Output is correct
10 Correct 1 ms 2644 KB Output is correct
11 Correct 1 ms 2644 KB Output is correct
12 Correct 1 ms 2644 KB Output is correct
13 Correct 1 ms 2644 KB Output is correct
14 Correct 1 ms 2644 KB Output is correct
15 Correct 2 ms 2644 KB Output is correct
16 Correct 1 ms 2644 KB Output is correct
17 Correct 1 ms 2672 KB Output is correct
18 Correct 1 ms 2772 KB Output is correct
19 Correct 2 ms 2804 KB Output is correct
20 Partially correct 1 ms 2800 KB Partially correct
21 Correct 2 ms 2812 KB Output is correct
22 Partially correct 2 ms 2772 KB Partially correct
23 Partially correct 2 ms 2772 KB Partially correct
24 Correct 2 ms 2900 KB Output is correct
25 Partially correct 2 ms 2772 KB Partially correct
26 Partially correct 2 ms 2772 KB Partially correct
27 Correct 2 ms 2900 KB Output is correct
28 Partially correct 2 ms 2900 KB Partially correct
29 Correct 2 ms 2772 KB Output is correct
30 Correct 2 ms 2812 KB Output is correct
31 Correct 2 ms 2900 KB Output is correct
32 Correct 2 ms 2772 KB Output is correct
33 Correct 2 ms 2812 KB Output is correct
34 Correct 2 ms 2900 KB Output is correct
35 Correct 2 ms 2900 KB Output is correct
36 Correct 2 ms 2900 KB Output is correct
37 Correct 2 ms 2900 KB Output is correct
38 Correct 2 ms 2808 KB Output is correct
39 Correct 2 ms 2900 KB Output is correct
40 Partially correct 2 ms 2772 KB Partially correct
41 Partially correct 2 ms 2772 KB Partially correct
42 Correct 2 ms 2772 KB Output is correct
43 Partially correct 2 ms 2900 KB Partially correct
44 Correct 2 ms 2772 KB Output is correct
45 Partially correct 2 ms 2900 KB Partially correct
46 Correct 2 ms 2900 KB Output is correct
47 Correct 2 ms 2900 KB Output is correct
48 Partially correct 76 ms 15912 KB Partially correct
49 Partially correct 68 ms 17064 KB Partially correct
50 Partially correct 67 ms 17092 KB Partially correct
51 Partially correct 58 ms 13924 KB Partially correct
52 Partially correct 77 ms 16964 KB Partially correct
53 Partially correct 59 ms 15580 KB Partially correct
54 Correct 30 ms 11900 KB Output is correct
55 Correct 86 ms 21360 KB Output is correct
56 Partially correct 82 ms 19024 KB Partially correct
57 Partially correct 76 ms 18168 KB Partially correct
58 Partially correct 78 ms 17660 KB Partially correct
59 Partially correct 88 ms 17164 KB Partially correct
60 Correct 66 ms 17376 KB Output is correct
61 Correct 60 ms 17620 KB Output is correct
62 Correct 85 ms 17568 KB Output is correct
63 Correct 71 ms 16760 KB Output is correct
64 Correct 74 ms 17552 KB Output is correct
65 Correct 73 ms 17700 KB Output is correct
66 Correct 73 ms 16764 KB Output is correct
67 Correct 41 ms 13796 KB Output is correct
68 Correct 51 ms 15484 KB Output is correct
69 Correct 70 ms 17736 KB Output is correct
70 Correct 70 ms 16816 KB Output is correct
71 Correct 57 ms 13268 KB Output is correct
72 Correct 45 ms 14644 KB Output is correct
73 Correct 98 ms 17752 KB Output is correct
74 Correct 85 ms 16456 KB Output is correct
75 Partially correct 86 ms 16940 KB Partially correct
76 Partially correct 99 ms 16988 KB Partially correct
77 Correct 79 ms 16840 KB Output is correct
78 Correct 59 ms 12504 KB Output is correct
79 Partially correct 46 ms 14144 KB Partially correct
80 Partially correct 100 ms 16936 KB Partially correct
81 Correct 67 ms 17004 KB Output is correct
82 Correct 75 ms 17452 KB Output is correct