oj.uz

Submission #256185

# Submission time Handle Problem Language Result Execution time Memory
256185 2020-08-02T11:06:46 Z fedoseevtimofey Mergers (JOI19_mergers) C++14
100 / 100
 1196 ms 79460 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 ds[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);
  if (a != b) {
    if (ds[a] > ds[b]) swap(a, b);
    par[a] = b;
    ds[b] += ds[a];
  }
}   

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;
    ds[i] = 1;
  }
  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 9 ms 12160 KB Output is correct
2 Correct 10 ms 12160 KB Output is correct
3 Correct 9 ms 12160 KB Output is correct
4 Correct 8 ms 12160 KB Output is correct
5 Correct 9 ms 12160 KB Output is correct
6 Correct 7 ms 12160 KB Output is correct
7 Correct 9 ms 12160 KB Output is correct
8 Correct 8 ms 12160 KB Output is correct
9 Correct 8 ms 12160 KB Output is correct
10 Correct 7 ms 12160 KB Output is correct
11 Correct 7 ms 12160 KB Output is correct
12 Correct 7 ms 12160 KB Output is correct
13 Correct 8 ms 12160 KB Output is correct
14 Correct 7 ms 12160 KB Output is correct
15 Correct 7 ms 12160 KB Output is correct
16 Correct 7 ms 12160 KB Output is correct
17 Correct 7 ms 12160 KB Output is correct
18 Correct 7 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 8 ms 12160 KB Output is correct
22 Correct 7 ms 12160 KB Output is correct
23 Correct 7 ms 12160 KB Output is correct
24 Correct 8 ms 12160 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 12160 KB Output is correct
2 Correct 10 ms 12160 KB Output is correct
3 Correct 9 ms 12160 KB Output is correct
4 Correct 8 ms 12160 KB Output is correct
5 Correct 9 ms 12160 KB Output is correct
6 Correct 7 ms 12160 KB Output is correct
7 Correct 9 ms 12160 KB Output is correct
8 Correct 8 ms 12160 KB Output is correct
9 Correct 8 ms 12160 KB Output is correct
10 Correct 7 ms 12160 KB Output is correct
11 Correct 7 ms 12160 KB Output is correct
12 Correct 7 ms 12160 KB Output is correct
13 Correct 8 ms 12160 KB Output is correct
14 Correct 7 ms 12160 KB Output is correct
15 Correct 7 ms 12160 KB Output is correct
16 Correct 7 ms 12160 KB Output is correct
17 Correct 7 ms 12160 KB Output is correct
18 Correct 7 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 8 ms 12160 KB Output is correct
22 Correct 7 ms 12160 KB Output is correct
23 Correct 7 ms 12160 KB Output is correct
24 Correct 8 ms 12160 KB Output is correct
25 Correct 9 ms 12160 KB Output is correct
26 Correct 9 ms 12416 KB Output is correct
27 Correct 9 ms 12416 KB Output is correct
28 Correct 10 ms 12544 KB Output is correct
29 Correct 11 ms 12416 KB Output is correct
30 Correct 11 ms 12416 KB Output is correct
31 Correct 8 ms 12160 KB Output is correct
32 Correct 9 ms 12544 KB Output is correct
33 Correct 7 ms 12160 KB Output is correct
34 Correct 9 ms 12416 KB Output is correct
35 Correct 9 ms 12416 KB Output is correct
36 Correct 11 ms 12416 KB Output is correct
37 Correct 11 ms 12416 KB Output is correct
38 Correct 7 ms 12160 KB Output is correct
39 Correct 11 ms 12416 KB Output is correct
40 Correct 11 ms 12416 KB Output is correct
41 Correct 11 ms 12416 KB Output is correct
42 Correct 9 ms 12416 KB Output is correct
43 Correct 11 ms 12680 KB Output is correct
44 Correct 8 ms 12160 KB Output is correct
45 Correct 9 ms 12544 KB Output is correct
46 Correct 9 ms 12416 KB Output is correct
47 Correct 8 ms 12160 KB Output is correct
48 Correct 9 ms 12416 KB Output is correct
49 Correct 11 ms 12416 KB Output is correct
50 Correct 9 ms 12544 KB Output is correct
51 Correct 10 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 12 ms 12416 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 12160 KB Output is correct
2 Correct 10 ms 12160 KB Output is correct
3 Correct 9 ms 12160 KB Output is correct
4 Correct 8 ms 12160 KB Output is correct
5 Correct 9 ms 12160 KB Output is correct
6 Correct 7 ms 12160 KB Output is correct
7 Correct 9 ms 12160 KB Output is correct
8 Correct 8 ms 12160 KB Output is correct
9 Correct 8 ms 12160 KB Output is correct
10 Correct 7 ms 12160 KB Output is correct
11 Correct 7 ms 12160 KB Output is correct
12 Correct 7 ms 12160 KB Output is correct
13 Correct 8 ms 12160 KB Output is correct
14 Correct 7 ms 12160 KB Output is correct
15 Correct 7 ms 12160 KB Output is correct
16 Correct 7 ms 12160 KB Output is correct
17 Correct 7 ms 12160 KB Output is correct
18 Correct 7 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 8 ms 12160 KB Output is correct
22 Correct 7 ms 12160 KB Output is correct
23 Correct 7 ms 12160 KB Output is correct
24 Correct 8 ms 12160 KB Output is correct
25 Correct 8 ms 12160 KB Output is correct
26 Correct 85 ms 20208 KB Output is correct
27 Correct 134 ms 19952 KB Output is correct
28 Correct 12 ms 12416 KB Output is correct
29 Correct 10 ms 12160 KB Output is correct
30 Correct 9 ms 12160 KB Output is correct
31 Correct 98 ms 20136 KB Output is correct
32 Correct 11 ms 12416 KB Output is correct
33 Correct 103 ms 27248 KB Output is correct
34 Correct 96 ms 19948 KB Output is correct
35 Correct 9 ms 12416 KB Output is correct
36 Correct 125 ms 20720 KB Output is correct
37 Correct 9 ms 12416 KB Output is correct
38 Correct 11 ms 12416 KB Output is correct
39 Correct 69 ms 20204 KB Output is correct
40 Correct 10 ms 12672 KB Output is correct
41 Correct 123 ms 20080 KB Output is correct
42 Correct 126 ms 22256 KB Output is correct
43 Correct 8 ms 12160 KB Output is correct
44 Correct 116 ms 27376 KB Output is correct
45 Correct 124 ms 23664 KB Output is correct
46 Correct 9 ms 12416 KB Output is correct
47 Correct 11 ms 12544 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 62 ms 20208 KB Output is correct
2 Correct 75 ms 21488 KB Output is correct
3 Correct 9 ms 12416 KB Output is correct
4 Correct 9 ms 12416 KB Output is correct
5 Correct 8 ms 12160 KB Output is correct
6 Correct 9 ms 12160 KB Output is correct
7 Correct 9 ms 12416 KB Output is correct
8 Correct 124 ms 20592 KB Output is correct
9 Correct 11 ms 12416 KB Output is correct
10 Correct 116 ms 19952 KB Output is correct
11 Correct 9 ms 12160 KB Output is correct
12 Correct 93 ms 19952 KB Output is correct
13 Correct 112 ms 20604 KB Output is correct
14 Correct 134 ms 21232 KB Output is correct
15 Correct 63 ms 20204 KB Output is correct
16 Correct 9 ms 12544 KB Output is correct
17 Correct 8 ms 12160 KB Output is correct
18 Correct 101 ms 21484 KB Output is correct
19 Correct 135 ms 25144 KB Output is correct
20 Correct 9 ms 12416 KB Output is correct
21 Correct 9 ms 12160 KB Output is correct
22 Correct 73 ms 20852 KB Output is correct
23 Correct 9 ms 12416 KB Output is correct
24 Correct 127 ms 19952 KB Output is correct
25 Correct 121 ms 23920 KB Output is correct
26 Correct 10 ms 12544 KB Output is correct
27 Correct 9 ms 12544 KB Output is correct
28 Correct 9 ms 12416 KB Output is correct
29 Correct 9 ms 12416 KB Output is correct
30 Correct 10 ms 12416 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 12160 KB Output is correct
2 Correct 10 ms 12160 KB Output is correct
3 Correct 9 ms 12160 KB Output is correct
4 Correct 8 ms 12160 KB Output is correct
5 Correct 9 ms 12160 KB Output is correct
6 Correct 7 ms 12160 KB Output is correct
7 Correct 9 ms 12160 KB Output is correct
8 Correct 8 ms 12160 KB Output is correct
9 Correct 8 ms 12160 KB Output is correct
10 Correct 7 ms 12160 KB Output is correct
11 Correct 7 ms 12160 KB Output is correct
12 Correct 7 ms 12160 KB Output is correct
13 Correct 8 ms 12160 KB Output is correct
14 Correct 7 ms 12160 KB Output is correct
15 Correct 7 ms 12160 KB Output is correct
16 Correct 7 ms 12160 KB Output is correct
17 Correct 7 ms 12160 KB Output is correct
18 Correct 7 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 8 ms 12160 KB Output is correct
22 Correct 7 ms 12160 KB Output is correct
23 Correct 7 ms 12160 KB Output is correct
24 Correct 8 ms 12160 KB Output is correct
25 Correct 9 ms 12160 KB Output is correct
26 Correct 9 ms 12416 KB Output is correct
27 Correct 9 ms 12416 KB Output is correct
28 Correct 10 ms 12544 KB Output is correct
29 Correct 11 ms 12416 KB Output is correct
30 Correct 11 ms 12416 KB Output is correct
31 Correct 8 ms 12160 KB Output is correct
32 Correct 9 ms 12544 KB Output is correct
33 Correct 7 ms 12160 KB Output is correct
34 Correct 9 ms 12416 KB Output is correct
35 Correct 9 ms 12416 KB Output is correct
36 Correct 11 ms 12416 KB Output is correct
37 Correct 11 ms 12416 KB Output is correct
38 Correct 7 ms 12160 KB Output is correct
39 Correct 11 ms 12416 KB Output is correct
40 Correct 11 ms 12416 KB Output is correct
41 Correct 11 ms 12416 KB Output is correct
42 Correct 9 ms 12416 KB Output is correct
43 Correct 11 ms 12680 KB Output is correct
44 Correct 8 ms 12160 KB Output is correct
45 Correct 9 ms 12544 KB Output is correct
46 Correct 9 ms 12416 KB Output is correct
47 Correct 8 ms 12160 KB Output is correct
48 Correct 9 ms 12416 KB Output is correct
49 Correct 11 ms 12416 KB Output is correct
50 Correct 9 ms 12544 KB Output is correct
51 Correct 10 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 12 ms 12416 KB Output is correct
55 Correct 8 ms 12160 KB Output is correct
56 Correct 85 ms 20208 KB Output is correct
57 Correct 134 ms 19952 KB Output is correct
58 Correct 12 ms 12416 KB Output is correct
59 Correct 10 ms 12160 KB Output is correct
60 Correct 9 ms 12160 KB Output is correct
61 Correct 98 ms 20136 KB Output is correct
62 Correct 11 ms 12416 KB Output is correct
63 Correct 103 ms 27248 KB Output is correct
64 Correct 96 ms 19948 KB Output is correct
65 Correct 9 ms 12416 KB Output is correct
66 Correct 125 ms 20720 KB Output is correct
67 Correct 9 ms 12416 KB Output is correct
68 Correct 11 ms 12416 KB Output is correct
69 Correct 69 ms 20204 KB Output is correct
70 Correct 10 ms 12672 KB Output is correct
71 Correct 123 ms 20080 KB Output is correct
72 Correct 126 ms 22256 KB Output is correct
73 Correct 8 ms 12160 KB Output is correct
74 Correct 116 ms 27376 KB Output is correct
75 Correct 124 ms 23664 KB Output is correct
76 Correct 9 ms 12416 KB Output is correct
77 Correct 11 ms 12544 KB Output is correct
78 Correct 62 ms 20208 KB Output is correct
79 Correct 75 ms 21488 KB Output is correct
80 Correct 9 ms 12416 KB Output is correct
81 Correct 9 ms 12416 KB Output is correct
82 Correct 8 ms 12160 KB Output is correct
83 Correct 9 ms 12160 KB Output is correct
84 Correct 9 ms 12416 KB Output is correct
85 Correct 124 ms 20592 KB Output is correct
86 Correct 11 ms 12416 KB Output is correct
87 Correct 116 ms 19952 KB Output is correct
88 Correct 9 ms 12160 KB Output is correct
89 Correct 93 ms 19952 KB Output is correct
90 Correct 112 ms 20604 KB Output is correct
91 Correct 134 ms 21232 KB Output is correct
92 Correct 63 ms 20204 KB Output is correct
93 Correct 9 ms 12544 KB Output is correct
94 Correct 8 ms 12160 KB Output is correct
95 Correct 101 ms 21484 KB Output is correct
96 Correct 135 ms 25144 KB Output is correct
97 Correct 9 ms 12416 KB Output is correct
98 Correct 9 ms 12160 KB Output is correct
99 Correct 73 ms 20852 KB Output is correct
100 Correct 9 ms 12416 KB Output is correct
101 Correct 127 ms 19952 KB Output is correct
102 Correct 121 ms 23920 KB Output is correct
103 Correct 10 ms 12544 KB Output is correct
104 Correct 9 ms 12544 KB Output is correct
105 Correct 9 ms 12416 KB Output is correct
106 Correct 9 ms 12416 KB Output is correct
107 Correct 10 ms 12416 KB Output is correct
108 Correct 609 ms 54260 KB Output is correct
109 Correct 994 ms 68068 KB Output is correct
110 Correct 1022 ms 79436 KB Output is correct
111 Correct 1008 ms 79460 KB Output is correct
112 Correct 1196 ms 69732 KB Output is correct
113 Correct 787 ms 57172 KB Output is correct
114 Correct 958 ms 50148 KB Output is correct
115 Correct 948 ms 50148 KB Output is correct
116 Correct 1087 ms 51428 KB Output is correct
117 Correct 823 ms 56500 KB Output is correct
118 Correct 823 ms 49512 KB Output is correct
119 Correct 1008 ms 56548 KB Output is correct
120 Correct 893 ms 70588 KB Output is correct
121 Correct 946 ms 56560 KB Output is correct
122 Correct 844 ms 54244 KB Output is correct
123 Correct 553 ms 58080 KB Output is correct
124 Correct 1038 ms 55528 KB Output is correct