oj.uz

Submission #1045596

# Submission time Handle Problem Language Result Execution time Memory
1045596 2024-08-06T06:10:02 Z HunterXD Mergers (JOI19_mergers) C++17
100 / 100
 462 ms 105032 KB 
#include <bits/stdc++.h>

using namespace std;

#define pb push_back

typedef pair<int, int> pi;

const char nd = '\n';

void solve();

signed main(){
  ios_base::sync_with_stdio(0);
  cin.tie(0);

  int t = 1;
  // cin >> t;
  while(t-->0) solve();
}

// ------------------- Code Starts here -------------------

// Union Find
struct UF{
  vector<int> p, s;
  UF(int n): p(n), s(n, 1){
    iota(p.begin(), p.end(), 0);
  }

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

  void join(int x, int y){
    x = find(x), y = find(y);
    if(x == y) return;
    if(s[x] < s[y]) swap(x, y);
    p[y] = x;
    s[x] += s[y];
  }
};

const int N = 5e5+7;

vector<int> g[N], state[N];
int s[N], parent[N], level[N], jump[N];
UF group(N);

// dfs to get parent and level of each node
void dfs(int u, int p){
  parent[u] = jump[u] = p;
  level[u] = level[p]+1;
  for (int v : g[u]){
    if (v == p) continue;
    dfs(v, u);
  }
}

void solve(){
  int n, k;
  cin >> n >> k;

  vector<pi> edges;

  for (int i = 1; i < n; i++){
    int u, v;
    cin >> u >> v;
    edges.pb({u, v});
    g[u].pb(v), g[v].pb(u);    
  }

  for (int i = 1; i <= n; i++){
    cin >> s[i];
    state[s[i]].pb(i);
  }

  dfs(1, 0);

  for (int i = 1; i <= k; i++){
    set<pi> st;

    for(int u: state[i]) st.insert({-level[u], u});
    
    while(st.size() > 1){
      auto [l, u] = *st.begin();
      st.erase(st.begin());

      int v = parent[u];
      group.join(s[u], s[v]);
      st.insert({-level[v], v});
    }
  }

  // degree of each state group
  vector<int> deg(n+1, 0);

  for(auto [u, v]: edges){
    u = group.find(s[u]), v = group.find(s[v]);
    if (u == v) continue;
    deg[u]++, deg[v]++;
  }

  int leaf = 0;
  for(int i = 1; i <= n; i++){
    if(deg[i] == 1) leaf++;
  }

  cout << (leaf + 1) / 2 << nd;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 33368 KB Output is correct
2 Correct 5 ms 33372 KB Output is correct
3 Correct 5 ms 33372 KB Output is correct
4 Correct 5 ms 33372 KB Output is correct
5 Correct 6 ms 33460 KB Output is correct
6 Correct 6 ms 33368 KB Output is correct
7 Correct 5 ms 33372 KB Output is correct
8 Correct 5 ms 33348 KB Output is correct
9 Correct 5 ms 33372 KB Output is correct
10 Correct 6 ms 33372 KB Output is correct
11 Correct 5 ms 33464 KB Output is correct
12 Correct 6 ms 33368 KB Output is correct
13 Correct 5 ms 33448 KB Output is correct
14 Correct 6 ms 33372 KB Output is correct
15 Correct 5 ms 33372 KB Output is correct
16 Correct 5 ms 33452 KB Output is correct
17 Correct 5 ms 33476 KB Output is correct
18 Correct 5 ms 33324 KB Output is correct
19 Correct 5 ms 33372 KB Output is correct
20 Correct 5 ms 33372 KB Output is correct
21 Correct 7 ms 33372 KB Output is correct
22 Correct 5 ms 33372 KB Output is correct
23 Correct 5 ms 33372 KB Output is correct
24 Correct 5 ms 33424 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 33368 KB Output is correct
2 Correct 5 ms 33372 KB Output is correct
3 Correct 5 ms 33372 KB Output is correct
4 Correct 5 ms 33372 KB Output is correct
5 Correct 6 ms 33460 KB Output is correct
6 Correct 6 ms 33368 KB Output is correct
7 Correct 5 ms 33372 KB Output is correct
8 Correct 5 ms 33348 KB Output is correct
9 Correct 5 ms 33372 KB Output is correct
10 Correct 6 ms 33372 KB Output is correct
11 Correct 5 ms 33464 KB Output is correct
12 Correct 6 ms 33368 KB Output is correct
13 Correct 5 ms 33448 KB Output is correct
14 Correct 6 ms 33372 KB Output is correct
15 Correct 5 ms 33372 KB Output is correct
16 Correct 5 ms 33452 KB Output is correct
17 Correct 5 ms 33476 KB Output is correct
18 Correct 5 ms 33324 KB Output is correct
19 Correct 5 ms 33372 KB Output is correct
20 Correct 5 ms 33372 KB Output is correct
21 Correct 7 ms 33372 KB Output is correct
22 Correct 5 ms 33372 KB Output is correct
23 Correct 5 ms 33372 KB Output is correct
24 Correct 5 ms 33424 KB Output is correct
25 Correct 5 ms 33372 KB Output is correct
26 Correct 6 ms 33628 KB Output is correct
27 Correct 7 ms 33628 KB Output is correct
28 Correct 6 ms 33628 KB Output is correct
29 Correct 6 ms 33628 KB Output is correct
30 Correct 7 ms 33628 KB Output is correct
31 Correct 6 ms 33372 KB Output is correct
32 Correct 6 ms 33884 KB Output is correct
33 Correct 5 ms 33372 KB Output is correct
34 Correct 6 ms 33628 KB Output is correct
35 Correct 7 ms 33628 KB Output is correct
36 Correct 7 ms 33628 KB Output is correct
37 Correct 7 ms 33700 KB Output is correct
38 Correct 6 ms 33372 KB Output is correct
39 Correct 6 ms 33628 KB Output is correct
40 Correct 6 ms 33628 KB Output is correct
41 Correct 6 ms 33628 KB Output is correct
42 Correct 8 ms 33628 KB Output is correct
43 Correct 6 ms 33884 KB Output is correct
44 Correct 5 ms 33324 KB Output is correct
45 Correct 6 ms 33628 KB Output is correct
46 Correct 6 ms 33628 KB Output is correct
47 Correct 5 ms 33372 KB Output is correct
48 Correct 6 ms 33608 KB Output is correct
49 Correct 6 ms 33604 KB Output is correct
50 Correct 6 ms 33628 KB Output is correct
51 Correct 7 ms 33628 KB Output is correct
52 Correct 7 ms 33600 KB Output is correct
53 Correct 6 ms 33624 KB Output is correct
54 Correct 9 ms 33624 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 33368 KB Output is correct
2 Correct 5 ms 33372 KB Output is correct
3 Correct 5 ms 33372 KB Output is correct
4 Correct 5 ms 33372 KB Output is correct
5 Correct 6 ms 33460 KB Output is correct
6 Correct 6 ms 33368 KB Output is correct
7 Correct 5 ms 33372 KB Output is correct
8 Correct 5 ms 33348 KB Output is correct
9 Correct 5 ms 33372 KB Output is correct
10 Correct 6 ms 33372 KB Output is correct
11 Correct 5 ms 33464 KB Output is correct
12 Correct 6 ms 33368 KB Output is correct
13 Correct 5 ms 33448 KB Output is correct
14 Correct 6 ms 33372 KB Output is correct
15 Correct 5 ms 33372 KB Output is correct
16 Correct 5 ms 33452 KB Output is correct
17 Correct 5 ms 33476 KB Output is correct
18 Correct 5 ms 33324 KB Output is correct
19 Correct 5 ms 33372 KB Output is correct
20 Correct 5 ms 33372 KB Output is correct
21 Correct 7 ms 33372 KB Output is correct
22 Correct 5 ms 33372 KB Output is correct
23 Correct 5 ms 33372 KB Output is correct
24 Correct 5 ms 33424 KB Output is correct
25 Correct 5 ms 33372 KB Output is correct
26 Correct 36 ms 40740 KB Output is correct
27 Correct 79 ms 40644 KB Output is correct
28 Correct 6 ms 33624 KB Output is correct
29 Correct 5 ms 33372 KB Output is correct
30 Correct 5 ms 33372 KB Output is correct
31 Correct 42 ms 40344 KB Output is correct
32 Correct 6 ms 33624 KB Output is correct
33 Correct 236 ms 44600 KB Output is correct
34 Correct 71 ms 40424 KB Output is correct
35 Correct 6 ms 33624 KB Output is correct
36 Correct 45 ms 40744 KB Output is correct
37 Correct 7 ms 33624 KB Output is correct
38 Correct 6 ms 33496 KB Output is correct
39 Correct 37 ms 40640 KB Output is correct
40 Correct 6 ms 33884 KB Output is correct
41 Correct 58 ms 44444 KB Output is correct
42 Correct 156 ms 41796 KB Output is correct
43 Correct 5 ms 33368 KB Output is correct
44 Correct 68 ms 48840 KB Output is correct
45 Correct 132 ms 42616 KB Output is correct
46 Correct 7 ms 33628 KB Output is correct
47 Correct 7 ms 33628 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 36 ms 39300 KB Output is correct
2 Correct 40 ms 41932 KB Output is correct
3 Correct 6 ms 33628 KB Output is correct
4 Correct 7 ms 33708 KB Output is correct
5 Correct 5 ms 33368 KB Output is correct
6 Correct 6 ms 33372 KB Output is correct
7 Correct 6 ms 33628 KB Output is correct
8 Correct 55 ms 41220 KB Output is correct
9 Correct 7 ms 33484 KB Output is correct
10 Correct 42 ms 40012 KB Output is correct
11 Correct 6 ms 33372 KB Output is correct
12 Correct 41 ms 40388 KB Output is correct
13 Correct 46 ms 41672 KB Output is correct
14 Correct 45 ms 43204 KB Output is correct
15 Correct 36 ms 40648 KB Output is correct
16 Correct 7 ms 33628 KB Output is correct
17 Correct 5 ms 33464 KB Output is correct
18 Correct 39 ms 43276 KB Output is correct
19 Correct 46 ms 45516 KB Output is correct
20 Correct 6 ms 33628 KB Output is correct
21 Correct 5 ms 33368 KB Output is correct
22 Correct 47 ms 41928 KB Output is correct
23 Correct 6 ms 33628 KB Output is correct
24 Correct 43 ms 40912 KB Output is correct
25 Correct 41 ms 44776 KB Output is correct
26 Correct 6 ms 33628 KB Output is correct
27 Correct 6 ms 33628 KB Output is correct
28 Correct 6 ms 33628 KB Output is correct
29 Correct 6 ms 33480 KB Output is correct
30 Correct 7 ms 33600 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 33368 KB Output is correct
2 Correct 5 ms 33372 KB Output is correct
3 Correct 5 ms 33372 KB Output is correct
4 Correct 5 ms 33372 KB Output is correct
5 Correct 6 ms 33460 KB Output is correct
6 Correct 6 ms 33368 KB Output is correct
7 Correct 5 ms 33372 KB Output is correct
8 Correct 5 ms 33348 KB Output is correct
9 Correct 5 ms 33372 KB Output is correct
10 Correct 6 ms 33372 KB Output is correct
11 Correct 5 ms 33464 KB Output is correct
12 Correct 6 ms 33368 KB Output is correct
13 Correct 5 ms 33448 KB Output is correct
14 Correct 6 ms 33372 KB Output is correct
15 Correct 5 ms 33372 KB Output is correct
16 Correct 5 ms 33452 KB Output is correct
17 Correct 5 ms 33476 KB Output is correct
18 Correct 5 ms 33324 KB Output is correct
19 Correct 5 ms 33372 KB Output is correct
20 Correct 5 ms 33372 KB Output is correct
21 Correct 7 ms 33372 KB Output is correct
22 Correct 5 ms 33372 KB Output is correct
23 Correct 5 ms 33372 KB Output is correct
24 Correct 5 ms 33424 KB Output is correct
25 Correct 5 ms 33372 KB Output is correct
26 Correct 6 ms 33628 KB Output is correct
27 Correct 7 ms 33628 KB Output is correct
28 Correct 6 ms 33628 KB Output is correct
29 Correct 6 ms 33628 KB Output is correct
30 Correct 7 ms 33628 KB Output is correct
31 Correct 6 ms 33372 KB Output is correct
32 Correct 6 ms 33884 KB Output is correct
33 Correct 5 ms 33372 KB Output is correct
34 Correct 6 ms 33628 KB Output is correct
35 Correct 7 ms 33628 KB Output is correct
36 Correct 7 ms 33628 KB Output is correct
37 Correct 7 ms 33700 KB Output is correct
38 Correct 6 ms 33372 KB Output is correct
39 Correct 6 ms 33628 KB Output is correct
40 Correct 6 ms 33628 KB Output is correct
41 Correct 6 ms 33628 KB Output is correct
42 Correct 8 ms 33628 KB Output is correct
43 Correct 6 ms 33884 KB Output is correct
44 Correct 5 ms 33324 KB Output is correct
45 Correct 6 ms 33628 KB Output is correct
46 Correct 6 ms 33628 KB Output is correct
47 Correct 5 ms 33372 KB Output is correct
48 Correct 6 ms 33608 KB Output is correct
49 Correct 6 ms 33604 KB Output is correct
50 Correct 6 ms 33628 KB Output is correct
51 Correct 7 ms 33628 KB Output is correct
52 Correct 7 ms 33600 KB Output is correct
53 Correct 6 ms 33624 KB Output is correct
54 Correct 9 ms 33624 KB Output is correct
55 Correct 5 ms 33372 KB Output is correct
56 Correct 36 ms 40740 KB Output is correct
57 Correct 79 ms 40644 KB Output is correct
58 Correct 6 ms 33624 KB Output is correct
59 Correct 5 ms 33372 KB Output is correct
60 Correct 5 ms 33372 KB Output is correct
61 Correct 42 ms 40344 KB Output is correct
62 Correct 6 ms 33624 KB Output is correct
63 Correct 236 ms 44600 KB Output is correct
64 Correct 71 ms 40424 KB Output is correct
65 Correct 6 ms 33624 KB Output is correct
66 Correct 45 ms 40744 KB Output is correct
67 Correct 7 ms 33624 KB Output is correct
68 Correct 6 ms 33496 KB Output is correct
69 Correct 37 ms 40640 KB Output is correct
70 Correct 6 ms 33884 KB Output is correct
71 Correct 58 ms 44444 KB Output is correct
72 Correct 156 ms 41796 KB Output is correct
73 Correct 5 ms 33368 KB Output is correct
74 Correct 68 ms 48840 KB Output is correct
75 Correct 132 ms 42616 KB Output is correct
76 Correct 7 ms 33628 KB Output is correct
77 Correct 7 ms 33628 KB Output is correct
78 Correct 36 ms 39300 KB Output is correct
79 Correct 40 ms 41932 KB Output is correct
80 Correct 6 ms 33628 KB Output is correct
81 Correct 7 ms 33708 KB Output is correct
82 Correct 5 ms 33368 KB Output is correct
83 Correct 6 ms 33372 KB Output is correct
84 Correct 6 ms 33628 KB Output is correct
85 Correct 55 ms 41220 KB Output is correct
86 Correct 7 ms 33484 KB Output is correct
87 Correct 42 ms 40012 KB Output is correct
88 Correct 6 ms 33372 KB Output is correct
89 Correct 41 ms 40388 KB Output is correct
90 Correct 46 ms 41672 KB Output is correct
91 Correct 45 ms 43204 KB Output is correct
92 Correct 36 ms 40648 KB Output is correct
93 Correct 7 ms 33628 KB Output is correct
94 Correct 5 ms 33464 KB Output is correct
95 Correct 39 ms 43276 KB Output is correct
96 Correct 46 ms 45516 KB Output is correct
97 Correct 6 ms 33628 KB Output is correct
98 Correct 5 ms 33368 KB Output is correct
99 Correct 47 ms 41928 KB Output is correct
100 Correct 6 ms 33628 KB Output is correct
101 Correct 43 ms 40912 KB Output is correct
102 Correct 41 ms 44776 KB Output is correct
103 Correct 6 ms 33628 KB Output is correct
104 Correct 6 ms 33628 KB Output is correct
105 Correct 6 ms 33628 KB Output is correct
106 Correct 6 ms 33480 KB Output is correct
107 Correct 7 ms 33600 KB Output is correct
108 Correct 220 ms 73540 KB Output is correct
109 Correct 390 ms 86456 KB Output is correct
110 Correct 462 ms 105032 KB Output is correct
111 Correct 313 ms 94900 KB Output is correct
112 Correct 334 ms 89020 KB Output is correct
113 Correct 275 ms 81308 KB Output is correct
114 Correct 338 ms 75696 KB Output is correct
115 Correct 380 ms 87736 KB Output is correct
116 Correct 436 ms 70396 KB Output is correct
117 Correct 255 ms 81340 KB Output is correct
118 Correct 229 ms 67260 KB Output is correct
119 Correct 262 ms 81324 KB Output is correct
120 Correct 303 ms 89276 KB Output is correct
121 Correct 280 ms 81336 KB Output is correct
122 Correct 437 ms 74904 KB Output is correct
123 Correct 276 ms 82872 KB Output is correct
124 Correct 300 ms 80004 KB Output is correct