oj.uz

Submission #256184

# Submission time Handle Problem Language Result Execution time Memory
256184 2020-08-02T11:04:50 Z fedoseevtimofey Mergers (JOI19_mergers) C++14
100 / 100
 940 ms 87524 KB 
#include <iostream>
#include <string>
#include <vector>
#include <queue>
#include <deque>
#include <stack>
#include <set>
#include <map>
#include <unordered_map>
#include <unordered_set>
#include <cstring>
#include <cmath>
#include <cstdlib>
#include <algorithm>
#include <random>
#include <iomanip>
#include <functional>
#include <cassert>
 
using namespace std;
 
typedef long long ll;
typedef unsigned long long ull;

const int N = 5e5 + 7;
int par[N];

int get(int a) {
  return (a == par[a] ? a : par[a] = get(par[a]));
}

void join(int a, int b) {
  a = get(a);
  b = get(b);
  par[a] = b;
}

vector <int> g[N];
mt19937_64 rnd(123);

int a[N], all[N], sz[N], bigChild[N], l[N], r[N];

ull go[N], sum[N];
vector <int> e;

void dfs(int u, int p) {
  e.push_back(u);
  l[u] = (int)e.size() - 1;
  sum[u] += go[a[u]];
  sz[u] = 1;
  bigChild[u] = -1;
  for (auto v : g[u]) {
    if (v != p) {
      dfs(v, u);
      sum[u] += sum[v];
      sz[u] += sz[v];
      if (bigChild[u] == -1 || sz[v] > sz[bigChild[u]]) {
        bigChild[u] = v;
      }
    }
  }
  r[u] = (int)e.size() - 1;
}

bool have[N];
ull need_sum = 0;

void jhfs(int u, int p, bool keep) {
  for (auto v : g[u]) {
    if (v != p && v != bigChild[u]) {
      jhfs(v, u, 0);
    }
  } 
  if (bigChild[u] != -1) {
    jhfs(bigChild[u], u, 1);
  }

  for (auto v : g[u]) {
    if (v != p && v != bigChild[u]) {
      for (int i = l[v]; i <= r[v]; ++i) {
        int c = a[e[i]];
        if (!have[c]) {
          have[c] = 1;
          need_sum += go[c] * all[c];
        }
      }
    }
  }
  if (!have[a[u]]) {
    have[a[u]] = 1;
    need_sum += go[a[u]] * all[a[u]];
  }
  if (sum[u] != need_sum) {
    join(u, p);
  }
  if (!keep) {
    need_sum = 0;
    for (int i = l[u]; i <= r[u]; ++i) {
      int c = a[e[i]];
      have[c] = 0;
    }
  }
}
  
int k;
 
int main() {
  ios_base::sync_with_stdio(false); cin.tie(0);
#ifdef LOCAL
  freopen("input.txt", "r", stdin);
#endif
  int n;
  cin >> n >> k;
  for (int i = 0; i + 1 < n; ++i) {
    int u, v;
    cin >> u >> v;
    --u, --v;
    g[u].push_back(v);
    g[v].push_back(u);
  }
  for (int i = 0; i < n; ++i) {
    cin >> a[i];
    --a[i];
    ++all[a[i]];
  }
  for (int i = 0; i < k; ++i) go[i] = rnd();
  for (int i = 0; i < n; ++i) par[i] = i;
  dfs(0, -1);
  jhfs(0, -1, 0);
  vector <int> deg(n);
  for (int i = 0; i < n; ++i) {
    for (int j : g[i]) {
      if (get(i) != get(j)) {
        ++deg[get(i)];
      }
    }
  }
  int cnt = 0;
  for (int i = 0; i < n; ++i) if (deg[i] == 1) ++cnt;
  cout << (cnt + 1) / 2 << '\n';
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 12160 KB Output is correct
2 Correct 8 ms 12160 KB Output is correct
3 Correct 10 ms 12160 KB Output is correct
4 Correct 8 ms 12136 KB Output is correct
5 Correct 7 ms 12160 KB Output is correct
6 Correct 9 ms 12160 KB Output is correct
7 Correct 8 ms 12160 KB Output is correct
8 Correct 7 ms 12160 KB Output is correct
9 Correct 9 ms 12160 KB Output is correct
10 Correct 8 ms 12160 KB Output is correct
11 Correct 11 ms 12160 KB Output is correct
12 Correct 7 ms 12160 KB Output is correct
13 Correct 10 ms 12160 KB Output is correct
14 Correct 9 ms 12160 KB Output is correct
15 Correct 7 ms 12160 KB Output is correct
16 Correct 10 ms 12160 KB Output is correct
17 Correct 7 ms 12160 KB Output is correct
18 Correct 9 ms 12160 KB Output is correct
19 Correct 8 ms 12160 KB Output is correct
20 Correct 7 ms 12160 KB Output is correct
21 Correct 10 ms 12160 KB Output is correct
22 Correct 9 ms 12160 KB Output is correct
23 Correct 7 ms 12160 KB Output is correct
24 Correct 9 ms 12160 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 12160 KB Output is correct
2 Correct 8 ms 12160 KB Output is correct
3 Correct 10 ms 12160 KB Output is correct
4 Correct 8 ms 12136 KB Output is correct
5 Correct 7 ms 12160 KB Output is correct
6 Correct 9 ms 12160 KB Output is correct
7 Correct 8 ms 12160 KB Output is correct
8 Correct 7 ms 12160 KB Output is correct
9 Correct 9 ms 12160 KB Output is correct
10 Correct 8 ms 12160 KB Output is correct
11 Correct 11 ms 12160 KB Output is correct
12 Correct 7 ms 12160 KB Output is correct
13 Correct 10 ms 12160 KB Output is correct
14 Correct 9 ms 12160 KB Output is correct
15 Correct 7 ms 12160 KB Output is correct
16 Correct 10 ms 12160 KB Output is correct
17 Correct 7 ms 12160 KB Output is correct
18 Correct 9 ms 12160 KB Output is correct
19 Correct 8 ms 12160 KB Output is correct
20 Correct 7 ms 12160 KB Output is correct
21 Correct 10 ms 12160 KB Output is correct
22 Correct 9 ms 12160 KB Output is correct
23 Correct 7 ms 12160 KB Output is correct
24 Correct 9 ms 12160 KB Output is correct
25 Correct 7 ms 12160 KB Output is correct
26 Correct 12 ms 12416 KB Output is correct
27 Correct 9 ms 12416 KB Output is correct
28 Correct 9 ms 12544 KB Output is correct
29 Correct 9 ms 12416 KB Output is correct
30 Correct 9 ms 12416 KB Output is correct
31 Correct 8 ms 12160 KB Output is correct
32 Correct 13 ms 12544 KB Output is correct
33 Correct 9 ms 12160 KB Output is correct
34 Correct 10 ms 12416 KB Output is correct
35 Correct 10 ms 12416 KB Output is correct
36 Correct 9 ms 12416 KB Output is correct
37 Correct 11 ms 12416 KB Output is correct
38 Correct 7 ms 12212 KB Output is correct
39 Correct 11 ms 12416 KB Output is correct
40 Correct 9 ms 12416 KB Output is correct
41 Correct 9 ms 12416 KB Output is correct
42 Correct 9 ms 12416 KB Output is correct
43 Correct 11 ms 12544 KB Output is correct
44 Correct 8 ms 12160 KB Output is correct
45 Correct 9 ms 12416 KB Output is correct
46 Correct 13 ms 12416 KB Output is correct
47 Correct 7 ms 12160 KB Output is correct
48 Correct 9 ms 12416 KB Output is correct
49 Correct 9 ms 12416 KB Output is correct
50 Correct 9 ms 12416 KB Output is correct
51 Correct 9 ms 12416 KB Output is correct
52 Correct 9 ms 12416 KB Output is correct
53 Correct 9 ms 12416 KB Output is correct
54 Correct 9 ms 12416 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 12160 KB Output is correct
2 Correct 8 ms 12160 KB Output is correct
3 Correct 10 ms 12160 KB Output is correct
4 Correct 8 ms 12136 KB Output is correct
5 Correct 7 ms 12160 KB Output is correct
6 Correct 9 ms 12160 KB Output is correct
7 Correct 8 ms 12160 KB Output is correct
8 Correct 7 ms 12160 KB Output is correct
9 Correct 9 ms 12160 KB Output is correct
10 Correct 8 ms 12160 KB Output is correct
11 Correct 11 ms 12160 KB Output is correct
12 Correct 7 ms 12160 KB Output is correct
13 Correct 10 ms 12160 KB Output is correct
14 Correct 9 ms 12160 KB Output is correct
15 Correct 7 ms 12160 KB Output is correct
16 Correct 10 ms 12160 KB Output is correct
17 Correct 7 ms 12160 KB Output is correct
18 Correct 9 ms 12160 KB Output is correct
19 Correct 8 ms 12160 KB Output is correct
20 Correct 7 ms 12160 KB Output is correct
21 Correct 10 ms 12160 KB Output is correct
22 Correct 9 ms 12160 KB Output is correct
23 Correct 7 ms 12160 KB Output is correct
24 Correct 9 ms 12160 KB Output is correct
25 Correct 8 ms 12160 KB Output is correct
26 Correct 73 ms 21104 KB Output is correct
27 Correct 112 ms 20976 KB Output is correct
28 Correct 9 ms 12416 KB Output is correct
29 Correct 10 ms 12160 KB Output is correct
30 Correct 8 ms 12160 KB Output is correct
31 Correct 95 ms 20848 KB Output is correct
32 Correct 9 ms 12416 KB Output is correct
33 Correct 100 ms 28016 KB Output is correct
34 Correct 98 ms 20892 KB Output is correct
35 Correct 9 ms 12416 KB Output is correct
36 Correct 96 ms 21616 KB Output is correct
37 Correct 10 ms 12416 KB Output is correct
38 Correct 9 ms 12416 KB Output is correct
39 Correct 66 ms 21100 KB Output is correct
40 Correct 13 ms 12672 KB Output is correct
41 Correct 114 ms 20848 KB Output is correct
42 Correct 138 ms 23152 KB Output is correct
43 Correct 9 ms 12192 KB Output is correct
44 Correct 100 ms 28272 KB Output is correct
45 Correct 107 ms 24560 KB Output is correct
46 Correct 9 ms 12416 KB Output is correct
47 Correct 11 ms 12416 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 69 ms 21104 KB Output is correct
2 Correct 73 ms 22768 KB Output is correct
3 Correct 10 ms 12416 KB Output is correct
4 Correct 9 ms 12416 KB Output is correct
5 Correct 10 ms 12160 KB Output is correct
6 Correct 8 ms 12160 KB Output is correct
7 Correct 9 ms 12416 KB Output is correct
8 Correct 108 ms 21872 KB Output is correct
9 Correct 9 ms 12416 KB Output is correct
10 Correct 107 ms 20976 KB Output is correct
11 Correct 8 ms 12160 KB Output is correct
12 Correct 102 ms 20976 KB Output is correct
13 Correct 109 ms 21748 KB Output is correct
14 Correct 111 ms 22508 KB Output is correct
15 Correct 84 ms 21100 KB Output is correct
16 Correct 12 ms 12416 KB Output is correct
17 Correct 8 ms 12160 KB Output is correct
18 Correct 85 ms 22636 KB Output is correct
19 Correct 151 ms 26352 KB Output is correct
20 Correct 14 ms 12416 KB Output is correct
21 Correct 8 ms 12160 KB Output is correct
22 Correct 88 ms 22000 KB Output is correct
23 Correct 13 ms 12416 KB Output is correct
24 Correct 134 ms 21100 KB Output is correct
25 Correct 132 ms 25072 KB Output is correct
26 Correct 11 ms 12416 KB Output is correct
27 Correct 11 ms 12544 KB Output is correct
28 Correct 12 ms 12416 KB Output is correct
29 Correct 11 ms 12416 KB Output is correct
30 Correct 11 ms 12416 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 12160 KB Output is correct
2 Correct 8 ms 12160 KB Output is correct
3 Correct 10 ms 12160 KB Output is correct
4 Correct 8 ms 12136 KB Output is correct
5 Correct 7 ms 12160 KB Output is correct
6 Correct 9 ms 12160 KB Output is correct
7 Correct 8 ms 12160 KB Output is correct
8 Correct 7 ms 12160 KB Output is correct
9 Correct 9 ms 12160 KB Output is correct
10 Correct 8 ms 12160 KB Output is correct
11 Correct 11 ms 12160 KB Output is correct
12 Correct 7 ms 12160 KB Output is correct
13 Correct 10 ms 12160 KB Output is correct
14 Correct 9 ms 12160 KB Output is correct
15 Correct 7 ms 12160 KB Output is correct
16 Correct 10 ms 12160 KB Output is correct
17 Correct 7 ms 12160 KB Output is correct
18 Correct 9 ms 12160 KB Output is correct
19 Correct 8 ms 12160 KB Output is correct
20 Correct 7 ms 12160 KB Output is correct
21 Correct 10 ms 12160 KB Output is correct
22 Correct 9 ms 12160 KB Output is correct
23 Correct 7 ms 12160 KB Output is correct
24 Correct 9 ms 12160 KB Output is correct
25 Correct 7 ms 12160 KB Output is correct
26 Correct 12 ms 12416 KB Output is correct
27 Correct 9 ms 12416 KB Output is correct
28 Correct 9 ms 12544 KB Output is correct
29 Correct 9 ms 12416 KB Output is correct
30 Correct 9 ms 12416 KB Output is correct
31 Correct 8 ms 12160 KB Output is correct
32 Correct 13 ms 12544 KB Output is correct
33 Correct 9 ms 12160 KB Output is correct
34 Correct 10 ms 12416 KB Output is correct
35 Correct 10 ms 12416 KB Output is correct
36 Correct 9 ms 12416 KB Output is correct
37 Correct 11 ms 12416 KB Output is correct
38 Correct 7 ms 12212 KB Output is correct
39 Correct 11 ms 12416 KB Output is correct
40 Correct 9 ms 12416 KB Output is correct
41 Correct 9 ms 12416 KB Output is correct
42 Correct 9 ms 12416 KB Output is correct
43 Correct 11 ms 12544 KB Output is correct
44 Correct 8 ms 12160 KB Output is correct
45 Correct 9 ms 12416 KB Output is correct
46 Correct 13 ms 12416 KB Output is correct
47 Correct 7 ms 12160 KB Output is correct
48 Correct 9 ms 12416 KB Output is correct
49 Correct 9 ms 12416 KB Output is correct
50 Correct 9 ms 12416 KB Output is correct
51 Correct 9 ms 12416 KB Output is correct
52 Correct 9 ms 12416 KB Output is correct
53 Correct 9 ms 12416 KB Output is correct
54 Correct 9 ms 12416 KB Output is correct
55 Correct 8 ms 12160 KB Output is correct
56 Correct 73 ms 21104 KB Output is correct
57 Correct 112 ms 20976 KB Output is correct
58 Correct 9 ms 12416 KB Output is correct
59 Correct 10 ms 12160 KB Output is correct
60 Correct 8 ms 12160 KB Output is correct
61 Correct 95 ms 20848 KB Output is correct
62 Correct 9 ms 12416 KB Output is correct
63 Correct 100 ms 28016 KB Output is correct
64 Correct 98 ms 20892 KB Output is correct
65 Correct 9 ms 12416 KB Output is correct
66 Correct 96 ms 21616 KB Output is correct
67 Correct 10 ms 12416 KB Output is correct
68 Correct 9 ms 12416 KB Output is correct
69 Correct 66 ms 21100 KB Output is correct
70 Correct 13 ms 12672 KB Output is correct
71 Correct 114 ms 20848 KB Output is correct
72 Correct 138 ms 23152 KB Output is correct
73 Correct 9 ms 12192 KB Output is correct
74 Correct 100 ms 28272 KB Output is correct
75 Correct 107 ms 24560 KB Output is correct
76 Correct 9 ms 12416 KB Output is correct
77 Correct 11 ms 12416 KB Output is correct
78 Correct 69 ms 21104 KB Output is correct
79 Correct 73 ms 22768 KB Output is correct
80 Correct 10 ms 12416 KB Output is correct
81 Correct 9 ms 12416 KB Output is correct
82 Correct 10 ms 12160 KB Output is correct
83 Correct 8 ms 12160 KB Output is correct
84 Correct 9 ms 12416 KB Output is correct
85 Correct 108 ms 21872 KB Output is correct
86 Correct 9 ms 12416 KB Output is correct
87 Correct 107 ms 20976 KB Output is correct
88 Correct 8 ms 12160 KB Output is correct
89 Correct 102 ms 20976 KB Output is correct
90 Correct 109 ms 21748 KB Output is correct
91 Correct 111 ms 22508 KB Output is correct
92 Correct 84 ms 21100 KB Output is correct
93 Correct 12 ms 12416 KB Output is correct
94 Correct 8 ms 12160 KB Output is correct
95 Correct 85 ms 22636 KB Output is correct
96 Correct 151 ms 26352 KB Output is correct
97 Correct 14 ms 12416 KB Output is correct
98 Correct 8 ms 12160 KB Output is correct
99 Correct 88 ms 22000 KB Output is correct
100 Correct 13 ms 12416 KB Output is correct
101 Correct 134 ms 21100 KB Output is correct
102 Correct 132 ms 25072 KB Output is correct
103 Correct 11 ms 12416 KB Output is correct
104 Correct 11 ms 12544 KB Output is correct
105 Correct 12 ms 12416 KB Output is correct
106 Correct 11 ms 12416 KB Output is correct
107 Correct 11 ms 12416 KB Output is correct
108 Correct 572 ms 62020 KB Output is correct
109 Correct 777 ms 73700 KB Output is correct
110 Correct 781 ms 84840 KB Output is correct
111 Correct 853 ms 87524 KB Output is correct
112 Correct 940 ms 77668 KB Output is correct
113 Correct 597 ms 65220 KB Output is correct
114 Correct 740 ms 55780 KB Output is correct
115 Correct 744 ms 55692 KB Output is correct
116 Correct 872 ms 58932 KB Output is correct
117 Correct 823 ms 64484 KB Output is correct
118 Correct 712 ms 55912 KB Output is correct
119 Correct 895 ms 64356 KB Output is correct
120 Correct 907 ms 78308 KB Output is correct
121 Correct 805 ms 64352 KB Output is correct
122 Correct 877 ms 61796 KB Output is correct
123 Correct 547 ms 65888 KB Output is correct
124 Correct 824 ms 63212 KB Output is correct