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답안 #960491

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
960491 2024-04-10T14:13:58 Z abczz Mergers (JOI19_mergers) C++14
100 / 100
 1121 ms 203364 KB 
#include <iostream>
#include <vector>
#include <array>
#define ll long long

using namespace std;

vector <ll> adj[500000];
vector <ll> G[500000];
vector <array<ll, 2>> edge;
ll n, k, a, b, p, cnt, f, A[500000], dp[500000], D[500000], H[500000], P[500000], bl[500000][19], deg[500000];

ll dsu(ll u) {
  if (P[u] == u) return u;
  else return P[u] = dsu(P[u]);
}

void dfs(ll u, ll p) {
  for (auto v : adj[u]) {
    if (v != p) {
      D[v] = D[u]+1;
      dfs(v, u);
      bl[v][0] = u;
    }
  }
}

ll lca(ll a, ll b) {
  if (D[a] > D[b]) swap(a, b);
  ll db = D[b];
  for (int i=18; i>=0; --i) {
    if (db-(1LL<<i) >= D[a]) {
      db -= (1LL<<i);
      b = bl[b][i];
    }
  }
  for (int i=18; i>=0; --i) {
    if (bl[a][i] != bl[b][i]) {
      a = bl[a][i], b = bl[b][i];
    }
  }
  if (a == b) return a;
  else return bl[a][0];
}

void solve(ll u, ll p) {
  dp[u] = H[A[u]];
  for (auto v : adj[u]) {
    if (v != p) {
      solve(v, u);
      if (dp[v] > D[u]) {
        ++cnt;
        edge.push_back({u, v});
      }
      else P[v] = u;
      dp[u] = min(dp[u], dp[v]);
    }
  }
}

int main() {
  cin >> n >> k;
  for (int i=0; i<n-1; ++i) {
    cin >> a >> b;
    --a, --b;
    adj[a].push_back(b);
    adj[b].push_back(a);
  }
  for (int i=0; i<n; ++i) {
    P[i] = i;
    cin >> A[i];
    --A[i];
    G[A[i]].push_back(i);
  }
  dfs(0, -1);
  for (int j=1; j<19; ++j) {
    for (int i=0; i<n; ++i) {
      bl[i][j] = bl[bl[i][j-1]][j-1];
    }
  }
  for (int i=0; i<k; ++i) {
    p = G[i][0];
    for (int j=1; j<G[i].size(); ++j) {
      p = lca(p, G[i][j]);
    }
    H[i] = D[p];
  }
  solve(0, -1);
  for (auto [u, v] : edge) {
    auto a = dsu(u);
    auto b = dsu(v);
    ++deg[a];
    ++deg[b];
  }
  for (int i=0; i<n; ++i) {
    if (deg[i] == 1) ++f;
  }
  cout << (f+1)/2 << '\n';
}

Compilation message

mergers.cpp: In function 'int main()':
mergers.cpp:83:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   83 |     for (int j=1; j<G[i].size(); ++j) {
      |                   ~^~~~~~~~~~~~
mergers.cpp:89:13: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   89 |   for (auto [u, v] : edge) {
      |             ^

Subtask #1
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 21 ms 35152 KB Output is correct
2 Correct 8 ms 35420 KB Output is correct
3 Correct 7 ms 35376 KB Output is correct
4 Correct 7 ms 35420 KB Output is correct
5 Correct 9 ms 35356 KB Output is correct
6 Correct 10 ms 35420 KB Output is correct
7 Correct 7 ms 33368 KB Output is correct
8 Correct 8 ms 35420 KB Output is correct
9 Correct 8 ms 35392 KB Output is correct
10 Correct 7 ms 35416 KB Output is correct
11 Correct 8 ms 35420 KB Output is correct
12 Correct 7 ms 35416 KB Output is correct
13 Correct 8 ms 35420 KB Output is correct
14 Correct 7 ms 35420 KB Output is correct
15 Correct 7 ms 35420 KB Output is correct
16 Correct 8 ms 35420 KB Output is correct
17 Correct 8 ms 35420 KB Output is correct
18 Correct 8 ms 35264 KB Output is correct
19 Correct 8 ms 35420 KB Output is correct
20 Correct 8 ms 35420 KB Output is correct
21 Correct 8 ms 35420 KB Output is correct
22 Correct 8 ms 35420 KB Output is correct
23 Correct 7 ms 35420 KB Output is correct
24 Correct 7 ms 35424 KB Output is correct

Subtask #2
24.0 / 24.0

# 결과 실행 시간 메모리 Grader output
1 Correct 21 ms 35152 KB Output is correct
2 Correct 8 ms 35420 KB Output is correct
3 Correct 7 ms 35376 KB Output is correct
4 Correct 7 ms 35420 KB Output is correct
5 Correct 9 ms 35356 KB Output is correct
6 Correct 10 ms 35420 KB Output is correct
7 Correct 7 ms 33368 KB Output is correct
8 Correct 8 ms 35420 KB Output is correct
9 Correct 8 ms 35392 KB Output is correct
10 Correct 7 ms 35416 KB Output is correct
11 Correct 8 ms 35420 KB Output is correct
12 Correct 7 ms 35416 KB Output is correct
13 Correct 8 ms 35420 KB Output is correct
14 Correct 7 ms 35420 KB Output is correct
15 Correct 7 ms 35420 KB Output is correct
16 Correct 8 ms 35420 KB Output is correct
17 Correct 8 ms 35420 KB Output is correct
18 Correct 8 ms 35264 KB Output is correct
19 Correct 8 ms 35420 KB Output is correct
20 Correct 8 ms 35420 KB Output is correct
21 Correct 8 ms 35420 KB Output is correct
22 Correct 8 ms 35420 KB Output is correct
23 Correct 7 ms 35420 KB Output is correct
24 Correct 7 ms 35424 KB Output is correct
25 Correct 8 ms 35416 KB Output is correct
26 Correct 11 ms 37724 KB Output is correct
27 Correct 12 ms 37720 KB Output is correct
28 Correct 10 ms 37980 KB Output is correct
29 Correct 10 ms 37724 KB Output is correct
30 Correct 10 ms 37464 KB Output is correct
31 Correct 7 ms 35416 KB Output is correct
32 Correct 10 ms 37980 KB Output is correct
33 Correct 7 ms 35420 KB Output is correct
34 Correct 10 ms 37468 KB Output is correct
35 Correct 10 ms 37720 KB Output is correct
36 Correct 10 ms 37468 KB Output is correct
37 Correct 10 ms 37640 KB Output is correct
38 Correct 8 ms 35388 KB Output is correct
39 Correct 10 ms 37724 KB Output is correct
40 Correct 10 ms 37468 KB Output is correct
41 Correct 10 ms 37724 KB Output is correct
42 Correct 10 ms 37568 KB Output is correct
43 Correct 10 ms 37980 KB Output is correct
44 Correct 7 ms 35416 KB Output is correct
45 Correct 10 ms 37720 KB Output is correct
46 Correct 10 ms 37664 KB Output is correct
47 Correct 7 ms 35672 KB Output is correct
48 Correct 11 ms 37724 KB Output is correct
49 Correct 11 ms 37856 KB Output is correct
50 Correct 10 ms 37724 KB Output is correct
51 Correct 10 ms 37724 KB Output is correct
52 Correct 10 ms 37468 KB Output is correct
53 Correct 10 ms 37976 KB Output is correct
54 Correct 12 ms 37468 KB Output is correct

Subtask #3
14.0 / 14.0

# 결과 실행 시간 메모리 Grader output
1 Correct 21 ms 35152 KB Output is correct
2 Correct 8 ms 35420 KB Output is correct
3 Correct 7 ms 35376 KB Output is correct
4 Correct 7 ms 35420 KB Output is correct
5 Correct 9 ms 35356 KB Output is correct
6 Correct 10 ms 35420 KB Output is correct
7 Correct 7 ms 33368 KB Output is correct
8 Correct 8 ms 35420 KB Output is correct
9 Correct 8 ms 35392 KB Output is correct
10 Correct 7 ms 35416 KB Output is correct
11 Correct 8 ms 35420 KB Output is correct
12 Correct 7 ms 35416 KB Output is correct
13 Correct 8 ms 35420 KB Output is correct
14 Correct 7 ms 35420 KB Output is correct
15 Correct 7 ms 35420 KB Output is correct
16 Correct 8 ms 35420 KB Output is correct
17 Correct 8 ms 35420 KB Output is correct
18 Correct 8 ms 35264 KB Output is correct
19 Correct 8 ms 35420 KB Output is correct
20 Correct 8 ms 35420 KB Output is correct
21 Correct 8 ms 35420 KB Output is correct
22 Correct 8 ms 35420 KB Output is correct
23 Correct 7 ms 35420 KB Output is correct
24 Correct 7 ms 35424 KB Output is correct
25 Correct 7 ms 35420 KB Output is correct
26 Correct 117 ms 64456 KB Output is correct
27 Correct 116 ms 64340 KB Output is correct
28 Correct 10 ms 37464 KB Output is correct
29 Correct 7 ms 35420 KB Output is correct
30 Correct 7 ms 35412 KB Output is correct
31 Correct 117 ms 66420 KB Output is correct
32 Correct 10 ms 37452 KB Output is correct
33 Correct 143 ms 73812 KB Output is correct
34 Correct 126 ms 66364 KB Output is correct
35 Correct 10 ms 37464 KB Output is correct
36 Correct 127 ms 66968 KB Output is correct
37 Correct 10 ms 37468 KB Output is correct
38 Correct 10 ms 37688 KB Output is correct
39 Correct 102 ms 64580 KB Output is correct
40 Correct 10 ms 37980 KB Output is correct
41 Correct 108 ms 63992 KB Output is correct
42 Correct 133 ms 69288 KB Output is correct
43 Correct 7 ms 35416 KB Output is correct
44 Correct 146 ms 74020 KB Output is correct
45 Correct 131 ms 70176 KB Output is correct
46 Correct 10 ms 37468 KB Output is correct
47 Correct 10 ms 37668 KB Output is correct

Subtask #4
22.0 / 22.0

# 결과 실행 시간 메모리 Grader output
1 Correct 108 ms 64452 KB Output is correct
2 Correct 103 ms 72764 KB Output is correct
3 Correct 10 ms 37720 KB Output is correct
4 Correct 10 ms 37720 KB Output is correct
5 Correct 7 ms 35428 KB Output is correct
6 Correct 7 ms 35672 KB Output is correct
7 Correct 10 ms 37468 KB Output is correct
8 Correct 131 ms 70064 KB Output is correct
9 Correct 10 ms 37464 KB Output is correct
10 Correct 125 ms 66912 KB Output is correct
11 Correct 8 ms 35416 KB Output is correct
12 Correct 125 ms 66228 KB Output is correct
13 Correct 141 ms 70028 KB Output is correct
14 Correct 120 ms 72656 KB Output is correct
15 Correct 107 ms 64576 KB Output is correct
16 Correct 10 ms 37544 KB Output is correct
17 Correct 9 ms 35432 KB Output is correct
18 Correct 113 ms 72332 KB Output is correct
19 Correct 152 ms 77764 KB Output is correct
20 Correct 10 ms 37724 KB Output is correct
21 Correct 7 ms 35420 KB Output is correct
22 Correct 120 ms 70464 KB Output is correct
23 Correct 10 ms 37720 KB Output is correct
24 Correct 132 ms 69324 KB Output is correct
25 Correct 132 ms 76544 KB Output is correct
26 Correct 9 ms 37724 KB Output is correct
27 Correct 10 ms 37816 KB Output is correct
28 Correct 10 ms 37724 KB Output is correct
29 Correct 10 ms 37712 KB Output is correct
30 Correct 10 ms 37720 KB Output is correct

Subtask #5
30.0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 21 ms 35152 KB Output is correct
2 Correct 8 ms 35420 KB Output is correct
3 Correct 7 ms 35376 KB Output is correct
4 Correct 7 ms 35420 KB Output is correct
5 Correct 9 ms 35356 KB Output is correct
6 Correct 10 ms 35420 KB Output is correct
7 Correct 7 ms 33368 KB Output is correct
8 Correct 8 ms 35420 KB Output is correct
9 Correct 8 ms 35392 KB Output is correct
10 Correct 7 ms 35416 KB Output is correct
11 Correct 8 ms 35420 KB Output is correct
12 Correct 7 ms 35416 KB Output is correct
13 Correct 8 ms 35420 KB Output is correct
14 Correct 7 ms 35420 KB Output is correct
15 Correct 7 ms 35420 KB Output is correct
16 Correct 8 ms 35420 KB Output is correct
17 Correct 8 ms 35420 KB Output is correct
18 Correct 8 ms 35264 KB Output is correct
19 Correct 8 ms 35420 KB Output is correct
20 Correct 8 ms 35420 KB Output is correct
21 Correct 8 ms 35420 KB Output is correct
22 Correct 8 ms 35420 KB Output is correct
23 Correct 7 ms 35420 KB Output is correct
24 Correct 7 ms 35424 KB Output is correct
25 Correct 8 ms 35416 KB Output is correct
26 Correct 11 ms 37724 KB Output is correct
27 Correct 12 ms 37720 KB Output is correct
28 Correct 10 ms 37980 KB Output is correct
29 Correct 10 ms 37724 KB Output is correct
30 Correct 10 ms 37464 KB Output is correct
31 Correct 7 ms 35416 KB Output is correct
32 Correct 10 ms 37980 KB Output is correct
33 Correct 7 ms 35420 KB Output is correct
34 Correct 10 ms 37468 KB Output is correct
35 Correct 10 ms 37720 KB Output is correct
36 Correct 10 ms 37468 KB Output is correct
37 Correct 10 ms 37640 KB Output is correct
38 Correct 8 ms 35388 KB Output is correct
39 Correct 10 ms 37724 KB Output is correct
40 Correct 10 ms 37468 KB Output is correct
41 Correct 10 ms 37724 KB Output is correct
42 Correct 10 ms 37568 KB Output is correct
43 Correct 10 ms 37980 KB Output is correct
44 Correct 7 ms 35416 KB Output is correct
45 Correct 10 ms 37720 KB Output is correct
46 Correct 10 ms 37664 KB Output is correct
47 Correct 7 ms 35672 KB Output is correct
48 Correct 11 ms 37724 KB Output is correct
49 Correct 11 ms 37856 KB Output is correct
50 Correct 10 ms 37724 KB Output is correct
51 Correct 10 ms 37724 KB Output is correct
52 Correct 10 ms 37468 KB Output is correct
53 Correct 10 ms 37976 KB Output is correct
54 Correct 12 ms 37468 KB Output is correct
55 Correct 7 ms 35420 KB Output is correct
56 Correct 117 ms 64456 KB Output is correct
57 Correct 116 ms 64340 KB Output is correct
58 Correct 10 ms 37464 KB Output is correct
59 Correct 7 ms 35420 KB Output is correct
60 Correct 7 ms 35412 KB Output is correct
61 Correct 117 ms 66420 KB Output is correct
62 Correct 10 ms 37452 KB Output is correct
63 Correct 143 ms 73812 KB Output is correct
64 Correct 126 ms 66364 KB Output is correct
65 Correct 10 ms 37464 KB Output is correct
66 Correct 127 ms 66968 KB Output is correct
67 Correct 10 ms 37468 KB Output is correct
68 Correct 10 ms 37688 KB Output is correct
69 Correct 102 ms 64580 KB Output is correct
70 Correct 10 ms 37980 KB Output is correct
71 Correct 108 ms 63992 KB Output is correct
72 Correct 133 ms 69288 KB Output is correct
73 Correct 7 ms 35416 KB Output is correct
74 Correct 146 ms 74020 KB Output is correct
75 Correct 131 ms 70176 KB Output is correct
76 Correct 10 ms 37468 KB Output is correct
77 Correct 10 ms 37668 KB Output is correct
78 Correct 108 ms 64452 KB Output is correct
79 Correct 103 ms 72764 KB Output is correct
80 Correct 10 ms 37720 KB Output is correct
81 Correct 10 ms 37720 KB Output is correct
82 Correct 7 ms 35428 KB Output is correct
83 Correct 7 ms 35672 KB Output is correct
84 Correct 10 ms 37468 KB Output is correct
85 Correct 131 ms 70064 KB Output is correct
86 Correct 10 ms 37464 KB Output is correct
87 Correct 125 ms 66912 KB Output is correct
88 Correct 8 ms 35416 KB Output is correct
89 Correct 125 ms 66228 KB Output is correct
90 Correct 141 ms 70028 KB Output is correct
91 Correct 120 ms 72656 KB Output is correct
92 Correct 107 ms 64576 KB Output is correct
93 Correct 10 ms 37544 KB Output is correct
94 Correct 9 ms 35432 KB Output is correct
95 Correct 113 ms 72332 KB Output is correct
96 Correct 152 ms 77764 KB Output is correct
97 Correct 10 ms 37724 KB Output is correct
98 Correct 7 ms 35420 KB Output is correct
99 Correct 120 ms 70464 KB Output is correct
100 Correct 10 ms 37720 KB Output is correct
101 Correct 132 ms 69324 KB Output is correct
102 Correct 132 ms 76544 KB Output is correct
103 Correct 9 ms 37724 KB Output is correct
104 Correct 10 ms 37816 KB Output is correct
105 Correct 10 ms 37724 KB Output is correct
106 Correct 10 ms 37712 KB Output is correct
107 Correct 10 ms 37720 KB Output is correct
108 Correct 738 ms 159656 KB Output is correct
109 Correct 1070 ms 170956 KB Output is correct
110 Correct 1121 ms 184476 KB Output is correct
111 Correct 1040 ms 203364 KB Output is correct
112 Correct 1030 ms 193972 KB Output is correct
113 Correct 675 ms 172308 KB Output is correct
114 Correct 716 ms 146068 KB Output is correct
115 Correct 728 ms 146060 KB Output is correct
116 Correct 901 ms 155712 KB Output is correct
117 Correct 827 ms 173828 KB Output is correct
118 Correct 808 ms 150752 KB Output is correct
119 Correct 849 ms 174004 KB Output is correct
120 Correct 987 ms 195472 KB Output is correct
121 Correct 815 ms 174464 KB Output is correct
122 Correct 889 ms 160352 KB Output is correct
123 Correct 626 ms 174852 KB Output is correct
124 Correct 910 ms 169596 KB Output is correct