oj.uz

Submission #220086

# Submission time Handle Problem Language Result Execution time Memory
220086 2020-04-06T23:33:51 Z rama_pang Mergers (JOI19_mergers) C++14
100 / 100
 757 ms 91896 KB 
#include <bits/stdc++.h>
using namespace std;

class DisjointSet {
 private:
  int n;
  vector<int> p;

 public:
  DisjointSet(int n) : n(n) {
    p.resize(n);
    iota(begin(p), end(p), 0);
  }

  int Find(int x) {
    return p[x] == x ? x : p[x] = Find(p[x]);
  }

  bool Union(int x, int y) {
    x = Find(x);
    y = Find(y);
    if (x == y) return false;
    p[y] = x;
    return true;
  }

  bool IsRoot(int x) {
    return p[x] == x;
  }
};

int main() {
  ios::sync_with_stdio(0);
  cin.tie(0), cout.tie(0);

  int N, K;
  cin >> N >> K;

  vector<vector<int>> adj(N + 1);
  for (int i = 0; i < N - 1; i++) {
    int u, v;
    cin >> u >> v;
    adj[u].emplace_back(v);
    adj[v].emplace_back(u);
  }

  vector<vector<int>> colorList(K);
  for (int i = 1; i <= N; i++) {
    int c;
    cin >> c;
    colorList[--c].emplace_back(i);
  }

  vector<int> par(N + 1);
  vector<int> depth(N + 1);
  DisjointSet group(N + 1);

  function<void(int)> Dfs = [&](int n) {
    for (auto i : adj[n]) if (i != par[n]) {
      depth[i] = depth[n] + 1;
      par[i] = n;
      Dfs(i);
    }
  };

  auto Unite = [&](int a, int b) {
    a = group.Find(a);
    b = group.Find(b);
    while (a != b) {
      if (depth[a] > depth[b]) swap(a, b);
      group.Union(par[b], b);
      b = group.Find(b);
    }
  };

  depth[1] = 1;
  par[1] = 0;
  Dfs(1);

  for (int k = 0; k < K; k++) {
    for (int i = 1; i < (int) colorList[k].size(); i++) {
      Unite(colorList[k][0], colorList[k][i]);
    }
  }

  vector<int> degree(N + 1, 0);
  for (int i = 1; i <= N; i++) {
    for (auto j : adj[i]) {
      if (group.Find(i) != group.Find(j)) {
        degree[group.Find(i)]++;
      }
    }
  }

  int ans = 0;
  for (int i = 1; i <= N; i++) {
    if (group.IsRoot(i) && degree[i] == 1) {
      ans++;
    }
  }

  cout << ((ans + 1) / 2) << "\n";
  return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 4 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 4 ms 384 KB Output is correct
15 Correct 5 ms 448 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 5 ms 384 KB Output is correct
20 Correct 5 ms 384 KB Output is correct
21 Correct 4 ms 384 KB Output is correct
22 Correct 4 ms 384 KB Output is correct
23 Correct 5 ms 384 KB Output is correct
24 Correct 4 ms 384 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 4 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 4 ms 384 KB Output is correct
15 Correct 5 ms 448 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 5 ms 384 KB Output is correct
20 Correct 5 ms 384 KB Output is correct
21 Correct 4 ms 384 KB Output is correct
22 Correct 4 ms 384 KB Output is correct
23 Correct 5 ms 384 KB Output is correct
24 Correct 4 ms 384 KB Output is correct
25 Correct 5 ms 384 KB Output is correct
26 Correct 6 ms 768 KB Output is correct
27 Correct 6 ms 640 KB Output is correct
28 Correct 7 ms 896 KB Output is correct
29 Correct 7 ms 768 KB Output is correct
30 Correct 6 ms 640 KB Output is correct
31 Correct 5 ms 384 KB Output is correct
32 Correct 6 ms 896 KB Output is correct
33 Correct 4 ms 384 KB Output is correct
34 Correct 6 ms 640 KB Output is correct
35 Correct 6 ms 768 KB Output is correct
36 Correct 6 ms 640 KB Output is correct
37 Correct 6 ms 640 KB Output is correct
38 Correct 5 ms 384 KB Output is correct
39 Correct 6 ms 640 KB Output is correct
40 Correct 6 ms 640 KB Output is correct
41 Correct 6 ms 640 KB Output is correct
42 Correct 6 ms 640 KB Output is correct
43 Correct 6 ms 768 KB Output is correct
44 Correct 4 ms 384 KB Output is correct
45 Correct 6 ms 768 KB Output is correct
46 Correct 8 ms 640 KB Output is correct
47 Correct 5 ms 384 KB Output is correct
48 Correct 6 ms 640 KB Output is correct
49 Correct 6 ms 768 KB Output is correct
50 Correct 7 ms 768 KB Output is correct
51 Correct 6 ms 640 KB Output is correct
52 Correct 6 ms 640 KB Output is correct
53 Correct 6 ms 640 KB Output is correct
54 Correct 6 ms 640 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 4 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 4 ms 384 KB Output is correct
15 Correct 5 ms 448 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 5 ms 384 KB Output is correct
20 Correct 5 ms 384 KB Output is correct
21 Correct 4 ms 384 KB Output is correct
22 Correct 4 ms 384 KB Output is correct
23 Correct 5 ms 384 KB Output is correct
24 Correct 4 ms 384 KB Output is correct
25 Correct 4 ms 384 KB Output is correct
26 Correct 54 ms 9712 KB Output is correct
27 Correct 74 ms 9464 KB Output is correct
28 Correct 6 ms 640 KB Output is correct
29 Correct 5 ms 388 KB Output is correct
30 Correct 5 ms 384 KB Output is correct
31 Correct 72 ms 9336 KB Output is correct
32 Correct 6 ms 640 KB Output is correct
33 Correct 83 ms 15096 KB Output is correct
34 Correct 73 ms 9464 KB Output is correct
35 Correct 6 ms 640 KB Output is correct
36 Correct 93 ms 10016 KB Output is correct
37 Correct 6 ms 640 KB Output is correct
38 Correct 6 ms 640 KB Output is correct
39 Correct 56 ms 9712 KB Output is correct
40 Correct 6 ms 768 KB Output is correct
41 Correct 70 ms 9328 KB Output is correct
42 Correct 87 ms 11276 KB Output is correct
43 Correct 5 ms 384 KB Output is correct
44 Correct 92 ms 15508 KB Output is correct
45 Correct 77 ms 12412 KB Output is correct
46 Correct 6 ms 640 KB Output is correct
47 Correct 6 ms 640 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 55 ms 9200 KB Output is correct
2 Correct 75 ms 14192 KB Output is correct
3 Correct 7 ms 768 KB Output is correct
4 Correct 6 ms 640 KB Output is correct
5 Correct 5 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 6 ms 640 KB Output is correct
8 Correct 93 ms 11640 KB Output is correct
9 Correct 6 ms 640 KB Output is correct
10 Correct 77 ms 9464 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 85 ms 9464 KB Output is correct
13 Correct 91 ms 11640 KB Output is correct
14 Correct 87 ms 14332 KB Output is correct
15 Correct 53 ms 9712 KB Output is correct
16 Correct 6 ms 640 KB Output is correct
17 Correct 5 ms 384 KB Output is correct
18 Correct 74 ms 14192 KB Output is correct
19 Correct 98 ms 17528 KB Output is correct
20 Correct 6 ms 640 KB Output is correct
21 Correct 4 ms 384 KB Output is correct
22 Correct 70 ms 12144 KB Output is correct
23 Correct 6 ms 640 KB Output is correct
24 Correct 100 ms 10364 KB Output is correct
25 Correct 89 ms 16760 KB Output is correct
26 Correct 6 ms 768 KB Output is correct
27 Correct 7 ms 768 KB Output is correct
28 Correct 6 ms 640 KB Output is correct
29 Correct 6 ms 640 KB Output is correct
30 Correct 6 ms 640 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 4 ms 384 KB Output is correct
6 Correct 5 ms 384 KB Output is correct
7 Correct 5 ms 384 KB Output is correct
8 Correct 5 ms 384 KB Output is correct
9 Correct 5 ms 384 KB Output is correct
10 Correct 5 ms 384 KB Output is correct
11 Correct 5 ms 384 KB Output is correct
12 Correct 4 ms 384 KB Output is correct
13 Correct 5 ms 384 KB Output is correct
14 Correct 4 ms 384 KB Output is correct
15 Correct 5 ms 448 KB Output is correct
16 Correct 5 ms 384 KB Output is correct
17 Correct 4 ms 384 KB Output is correct
18 Correct 5 ms 384 KB Output is correct
19 Correct 5 ms 384 KB Output is correct
20 Correct 5 ms 384 KB Output is correct
21 Correct 4 ms 384 KB Output is correct
22 Correct 4 ms 384 KB Output is correct
23 Correct 5 ms 384 KB Output is correct
24 Correct 4 ms 384 KB Output is correct
25 Correct 5 ms 384 KB Output is correct
26 Correct 6 ms 768 KB Output is correct
27 Correct 6 ms 640 KB Output is correct
28 Correct 7 ms 896 KB Output is correct
29 Correct 7 ms 768 KB Output is correct
30 Correct 6 ms 640 KB Output is correct
31 Correct 5 ms 384 KB Output is correct
32 Correct 6 ms 896 KB Output is correct
33 Correct 4 ms 384 KB Output is correct
34 Correct 6 ms 640 KB Output is correct
35 Correct 6 ms 768 KB Output is correct
36 Correct 6 ms 640 KB Output is correct
37 Correct 6 ms 640 KB Output is correct
38 Correct 5 ms 384 KB Output is correct
39 Correct 6 ms 640 KB Output is correct
40 Correct 6 ms 640 KB Output is correct
41 Correct 6 ms 640 KB Output is correct
42 Correct 6 ms 640 KB Output is correct
43 Correct 6 ms 768 KB Output is correct
44 Correct 4 ms 384 KB Output is correct
45 Correct 6 ms 768 KB Output is correct
46 Correct 8 ms 640 KB Output is correct
47 Correct 5 ms 384 KB Output is correct
48 Correct 6 ms 640 KB Output is correct
49 Correct 6 ms 768 KB Output is correct
50 Correct 7 ms 768 KB Output is correct
51 Correct 6 ms 640 KB Output is correct
52 Correct 6 ms 640 KB Output is correct
53 Correct 6 ms 640 KB Output is correct
54 Correct 6 ms 640 KB Output is correct
55 Correct 4 ms 384 KB Output is correct
56 Correct 54 ms 9712 KB Output is correct
57 Correct 74 ms 9464 KB Output is correct
58 Correct 6 ms 640 KB Output is correct
59 Correct 5 ms 388 KB Output is correct
60 Correct 5 ms 384 KB Output is correct
61 Correct 72 ms 9336 KB Output is correct
62 Correct 6 ms 640 KB Output is correct
63 Correct 83 ms 15096 KB Output is correct
64 Correct 73 ms 9464 KB Output is correct
65 Correct 6 ms 640 KB Output is correct
66 Correct 93 ms 10016 KB Output is correct
67 Correct 6 ms 640 KB Output is correct
68 Correct 6 ms 640 KB Output is correct
69 Correct 56 ms 9712 KB Output is correct
70 Correct 6 ms 768 KB Output is correct
71 Correct 70 ms 9328 KB Output is correct
72 Correct 87 ms 11276 KB Output is correct
73 Correct 5 ms 384 KB Output is correct
74 Correct 92 ms 15508 KB Output is correct
75 Correct 77 ms 12412 KB Output is correct
76 Correct 6 ms 640 KB Output is correct
77 Correct 6 ms 640 KB Output is correct
78 Correct 55 ms 9200 KB Output is correct
79 Correct 75 ms 14192 KB Output is correct
80 Correct 7 ms 768 KB Output is correct
81 Correct 6 ms 640 KB Output is correct
82 Correct 5 ms 384 KB Output is correct
83 Correct 5 ms 384 KB Output is correct
84 Correct 6 ms 640 KB Output is correct
85 Correct 93 ms 11640 KB Output is correct
86 Correct 6 ms 640 KB Output is correct
87 Correct 77 ms 9464 KB Output is correct
88 Correct 5 ms 384 KB Output is correct
89 Correct 85 ms 9464 KB Output is correct
90 Correct 91 ms 11640 KB Output is correct
91 Correct 87 ms 14332 KB Output is correct
92 Correct 53 ms 9712 KB Output is correct
93 Correct 6 ms 640 KB Output is correct
94 Correct 5 ms 384 KB Output is correct
95 Correct 74 ms 14192 KB Output is correct
96 Correct 98 ms 17528 KB Output is correct
97 Correct 6 ms 640 KB Output is correct
98 Correct 4 ms 384 KB Output is correct
99 Correct 70 ms 12144 KB Output is correct
100 Correct 6 ms 640 KB Output is correct
101 Correct 100 ms 10364 KB Output is correct
102 Correct 89 ms 16760 KB Output is correct
103 Correct 6 ms 768 KB Output is correct
104 Correct 7 ms 768 KB Output is correct
105 Correct 6 ms 640 KB Output is correct
106 Correct 6 ms 640 KB Output is correct
107 Correct 6 ms 640 KB Output is correct
108 Correct 551 ms 58620 KB Output is correct
109 Correct 671 ms 60084 KB Output is correct
110 Correct 675 ms 69224 KB Output is correct
111 Correct 739 ms 91896 KB Output is correct
112 Correct 757 ms 83960 KB Output is correct
113 Correct 523 ms 72288 KB Output is correct
114 Correct 579 ms 46228 KB Output is correct
115 Correct 575 ms 45800 KB Output is correct
116 Correct 692 ms 52856 KB Output is correct
117 Correct 677 ms 73592 KB Output is correct
118 Correct 613 ms 47048 KB Output is correct
119 Correct 702 ms 73592 KB Output is correct
120 Correct 709 ms 84580 KB Output is correct
121 Correct 663 ms 73464 KB Output is correct
122 Correct 752 ms 62612 KB Output is correct
123 Correct 495 ms 75240 KB Output is correct
124 Correct 730 ms 71800 KB Output is correct