oj.uz

Submission #521073

# Submission time Handle Problem Language Result Execution time Memory
521073 2022-01-31T17:12:21 Z cig32 Mergers (JOI19_mergers) C++17
70 / 100
 1308 ms 262148 KB 
#include "bits/stdc++.h"
using namespace std;
const int MAXN = 5e5 + 10;
vector<int> adj[MAXN];
int fin[MAXN];
int s[MAXN];
int dsu[MAXN];
int set_of(int u) {
  if(dsu[u] == u) return u;
  return dsu[u] = set_of(dsu[u]);
}
void union_(int u, int v) {
  dsu[set_of(u)] = set_of(v);
}
vector<int> e;
int dep[MAXN];
int tin[MAXN];
int tim = 0;
void dfs1(int node, int prev, int cur) {
  e.push_back(node);
  dep[node] = cur;
  tin[node] = ++tim;
  for(int x: adj[node]) {
    if(x != prev) {
      dfs1(x, node, cur + 1);
      e.push_back(node);
    }
  }
}
pair<int, int> st[20][2*MAXN];
int l[MAXN], r[MAXN];
int lca(int x, int y) {
  int m1 = min(l[x], l[y]);
  int m2 = max(r[x], r[y]);
  int k = 32 - __builtin_clz(m2 - m1 + 1) - 1;
  return min(st[k][m1], st[k][m2 - (1<<k) + 1]).second;
}
int delta[MAXN];
bool cmp(int a, int b) {
  return tin[a] < tin[b];
}
map<pair<int, int>, bool> lit;
int dfs2(int node, int prev) {
  int s = delta[node];
  for(int x: adj[node]) {
    if(x != prev) s += dfs2(x, node);
  }
  if(s == 0) lit[{node, prev}] = lit[{prev, node}] = 1;
  return s;
}
int32_t main() {
  int n,k;cin >> n >> k;
  for(int i=1;i<n;i++) {
    int a,b;cin >> a >> b;
    adj[a].push_back(b);
    adj[b].push_back(a);
  }
  for(int i=1; i<=n; i++) cin >> s[i];
  for(int i=0; i<=n; i++) dsu[i] = i;
  dfs1(1, -1, 0);
  for(int i=0; i<e.size(); i++) r[e[i]] = i;
  for(int i=e.size()-1; i>=0; i--) l[e[i]] = i;
  for(int i=0; i<e.size(); i++) st[0][i] = {dep[e[i]], e[i]};
  for(int i=1; i<20; i++) {
    for(int j=0; j<e.size(); j++) {
      if(j + (1<<i) - 1 < e.size()) {
        st[i][j] = min(st[i-1][j], st[i-1][j+(1<<(i-1))]);
      }
    }
  }
  vector<int> wow[k+1];
  for(int i=1; i<=n; i++) {
    wow[s[i]].push_back(i);
  }
  for(int i=1; i<=k; i++) {
    if(wow[i].size() == 1) continue;
    sort(wow[i].begin(), wow[i].end(), cmp);
    int l = lca(wow[i][0], wow[i][1]);
    for(int j=0; j<wow[i].size(); j++) {
      l = lca(l, wow[i][j]);
      delta[wow[i][j]]++;
    }
    delta[l] -= wow[i].size();
  }
  dfs2(1, -1);
  for(int i=1; i<=n; i++) {
    for(int x: adj[i]) {
      if(!lit[{i, x}]) {
        union_(i, x);
      }
    }
  }
  lit.clear();
  for(int i=1; i<=n; i++) {
    for(int x: adj[i]) {
      if(set_of(i) != set_of(x) && lit[{set_of(i), set_of(x)}] == 0) {
        lit[{set_of(i), set_of(x)}] = 1;
        lit[{set_of(x), set_of(i)}] = 1;
        fin[set_of(i)]++;
        fin[set_of(x)]++;
      }
    }
  }
  int s = 0;
  for(int i=1; i<=n; i++) {
    s += (fin[i] == 1);
  }
  cout << (s + 1) / 2 << "\n";
}

Compilation message

mergers.cpp: In function 'int32_t main()':
mergers.cpp:61:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   61 |   for(int i=0; i<e.size(); i++) r[e[i]] = i;
      |                ~^~~~~~~~~
mergers.cpp:63:17: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   63 |   for(int i=0; i<e.size(); i++) st[0][i] = {dep[e[i]], e[i]};
      |                ~^~~~~~~~~
mergers.cpp:65:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   65 |     for(int j=0; j<e.size(); j++) {
      |                  ~^~~~~~~~~
mergers.cpp:66:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   66 |       if(j + (1<<i) - 1 < e.size()) {
      |          ~~~~~~~~~~~~~~~^~~~~~~~~~
mergers.cpp:79:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   79 |     for(int j=0; j<wow[i].size(); j++) {
      |                  ~^~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 12108 KB Output is correct
2 Correct 7 ms 12108 KB Output is correct
3 Correct 6 ms 12108 KB Output is correct
4 Correct 6 ms 12108 KB Output is correct
5 Correct 9 ms 12088 KB Output is correct
6 Correct 7 ms 12108 KB Output is correct
7 Correct 7 ms 11980 KB Output is correct
8 Correct 7 ms 12108 KB Output is correct
9 Correct 6 ms 12108 KB Output is correct
10 Correct 7 ms 12116 KB Output is correct
11 Correct 6 ms 12108 KB Output is correct
12 Correct 6 ms 12108 KB Output is correct
13 Correct 6 ms 12108 KB Output is correct
14 Correct 7 ms 12088 KB Output is correct
15 Correct 7 ms 12108 KB Output is correct
16 Correct 6 ms 12108 KB Output is correct
17 Correct 7 ms 12108 KB Output is correct
18 Correct 8 ms 12108 KB Output is correct
19 Correct 7 ms 12108 KB Output is correct
20 Correct 7 ms 12108 KB Output is correct
21 Correct 6 ms 12108 KB Output is correct
22 Correct 6 ms 12108 KB Output is correct
23 Correct 6 ms 12108 KB Output is correct
24 Correct 9 ms 12024 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 12108 KB Output is correct
2 Correct 7 ms 12108 KB Output is correct
3 Correct 6 ms 12108 KB Output is correct
4 Correct 6 ms 12108 KB Output is correct
5 Correct 9 ms 12088 KB Output is correct
6 Correct 7 ms 12108 KB Output is correct
7 Correct 7 ms 11980 KB Output is correct
8 Correct 7 ms 12108 KB Output is correct
9 Correct 6 ms 12108 KB Output is correct
10 Correct 7 ms 12116 KB Output is correct
11 Correct 6 ms 12108 KB Output is correct
12 Correct 6 ms 12108 KB Output is correct
13 Correct 6 ms 12108 KB Output is correct
14 Correct 7 ms 12088 KB Output is correct
15 Correct 7 ms 12108 KB Output is correct
16 Correct 6 ms 12108 KB Output is correct
17 Correct 7 ms 12108 KB Output is correct
18 Correct 8 ms 12108 KB Output is correct
19 Correct 7 ms 12108 KB Output is correct
20 Correct 7 ms 12108 KB Output is correct
21 Correct 6 ms 12108 KB Output is correct
22 Correct 6 ms 12108 KB Output is correct
23 Correct 6 ms 12108 KB Output is correct
24 Correct 9 ms 12024 KB Output is correct
25 Correct 6 ms 12108 KB Output is correct
26 Correct 12 ms 13388 KB Output is correct
27 Correct 10 ms 13308 KB Output is correct
28 Correct 12 ms 13516 KB Output is correct
29 Correct 13 ms 13388 KB Output is correct
30 Correct 11 ms 13260 KB Output is correct
31 Correct 7 ms 12108 KB Output is correct
32 Correct 15 ms 13648 KB Output is correct
33 Correct 6 ms 12108 KB Output is correct
34 Correct 11 ms 13240 KB Output is correct
35 Correct 14 ms 13388 KB Output is correct
36 Correct 11 ms 13260 KB Output is correct
37 Correct 11 ms 13388 KB Output is correct
38 Correct 7 ms 12108 KB Output is correct
39 Correct 14 ms 13388 KB Output is correct
40 Correct 11 ms 13308 KB Output is correct
41 Correct 11 ms 13240 KB Output is correct
42 Correct 11 ms 13324 KB Output is correct
43 Correct 10 ms 13556 KB Output is correct
44 Correct 7 ms 12108 KB Output is correct
45 Correct 12 ms 13500 KB Output is correct
46 Correct 11 ms 13408 KB Output is correct
47 Correct 9 ms 12108 KB Output is correct
48 Correct 12 ms 13260 KB Output is correct
49 Correct 14 ms 13388 KB Output is correct
50 Correct 13 ms 13492 KB Output is correct
51 Correct 11 ms 13248 KB Output is correct
52 Correct 11 ms 13308 KB Output is correct
53 Correct 11 ms 13428 KB Output is correct
54 Correct 11 ms 13288 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 12108 KB Output is correct
2 Correct 7 ms 12108 KB Output is correct
3 Correct 6 ms 12108 KB Output is correct
4 Correct 6 ms 12108 KB Output is correct
5 Correct 9 ms 12088 KB Output is correct
6 Correct 7 ms 12108 KB Output is correct
7 Correct 7 ms 11980 KB Output is correct
8 Correct 7 ms 12108 KB Output is correct
9 Correct 6 ms 12108 KB Output is correct
10 Correct 7 ms 12116 KB Output is correct
11 Correct 6 ms 12108 KB Output is correct
12 Correct 6 ms 12108 KB Output is correct
13 Correct 6 ms 12108 KB Output is correct
14 Correct 7 ms 12088 KB Output is correct
15 Correct 7 ms 12108 KB Output is correct
16 Correct 6 ms 12108 KB Output is correct
17 Correct 7 ms 12108 KB Output is correct
18 Correct 8 ms 12108 KB Output is correct
19 Correct 7 ms 12108 KB Output is correct
20 Correct 7 ms 12108 KB Output is correct
21 Correct 6 ms 12108 KB Output is correct
22 Correct 6 ms 12108 KB Output is correct
23 Correct 6 ms 12108 KB Output is correct
24 Correct 9 ms 12024 KB Output is correct
25 Correct 6 ms 12108 KB Output is correct
26 Correct 229 ms 58404 KB Output is correct
27 Correct 194 ms 58076 KB Output is correct
28 Correct 11 ms 13260 KB Output is correct
29 Correct 6 ms 12108 KB Output is correct
30 Correct 6 ms 12080 KB Output is correct
31 Correct 224 ms 58104 KB Output is correct
32 Correct 11 ms 13260 KB Output is correct
33 Correct 218 ms 65260 KB Output is correct
34 Correct 193 ms 58112 KB Output is correct
35 Correct 11 ms 13260 KB Output is correct
36 Correct 190 ms 58944 KB Output is correct
37 Correct 11 ms 13240 KB Output is correct
38 Correct 12 ms 13260 KB Output is correct
39 Correct 206 ms 58676 KB Output is correct
40 Correct 11 ms 13516 KB Output is correct
41 Correct 181 ms 57932 KB Output is correct
42 Correct 215 ms 60376 KB Output is correct
43 Correct 7 ms 12108 KB Output is correct
44 Correct 222 ms 65444 KB Output is correct
45 Correct 182 ms 61836 KB Output is correct
46 Correct 11 ms 13260 KB Output is correct
47 Correct 14 ms 13340 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 224 ms 58464 KB Output is correct
2 Correct 372 ms 63408 KB Output is correct
3 Correct 12 ms 13388 KB Output is correct
4 Correct 13 ms 13260 KB Output is correct
5 Correct 8 ms 12108 KB Output is correct
6 Correct 8 ms 12108 KB Output is correct
7 Correct 12 ms 13364 KB Output is correct
8 Correct 240 ms 60800 KB Output is correct
9 Correct 11 ms 13260 KB Output is correct
10 Correct 190 ms 58396 KB Output is correct
11 Correct 7 ms 12088 KB Output is correct
12 Correct 228 ms 58288 KB Output is correct
13 Correct 229 ms 60620 KB Output is correct
14 Correct 414 ms 63220 KB Output is correct
15 Correct 200 ms 58760 KB Output is correct
16 Correct 13 ms 13312 KB Output is correct
17 Correct 7 ms 12108 KB Output is correct
18 Correct 373 ms 63264 KB Output is correct
19 Correct 379 ms 67176 KB Output is correct
20 Correct 12 ms 13404 KB Output is correct
21 Correct 6 ms 12108 KB Output is correct
22 Correct 219 ms 61672 KB Output is correct
23 Correct 11 ms 13260 KB Output is correct
24 Correct 233 ms 59024 KB Output is correct
25 Correct 366 ms 65612 KB Output is correct
26 Correct 14 ms 13388 KB Output is correct
27 Correct 13 ms 13452 KB Output is correct
28 Correct 16 ms 13368 KB Output is correct
29 Correct 10 ms 13344 KB Output is correct
30 Correct 12 ms 13460 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 12108 KB Output is correct
2 Correct 7 ms 12108 KB Output is correct
3 Correct 6 ms 12108 KB Output is correct
4 Correct 6 ms 12108 KB Output is correct
5 Correct 9 ms 12088 KB Output is correct
6 Correct 7 ms 12108 KB Output is correct
7 Correct 7 ms 11980 KB Output is correct
8 Correct 7 ms 12108 KB Output is correct
9 Correct 6 ms 12108 KB Output is correct
10 Correct 7 ms 12116 KB Output is correct
11 Correct 6 ms 12108 KB Output is correct
12 Correct 6 ms 12108 KB Output is correct
13 Correct 6 ms 12108 KB Output is correct
14 Correct 7 ms 12088 KB Output is correct
15 Correct 7 ms 12108 KB Output is correct
16 Correct 6 ms 12108 KB Output is correct
17 Correct 7 ms 12108 KB Output is correct
18 Correct 8 ms 12108 KB Output is correct
19 Correct 7 ms 12108 KB Output is correct
20 Correct 7 ms 12108 KB Output is correct
21 Correct 6 ms 12108 KB Output is correct
22 Correct 6 ms 12108 KB Output is correct
23 Correct 6 ms 12108 KB Output is correct
24 Correct 9 ms 12024 KB Output is correct
25 Correct 6 ms 12108 KB Output is correct
26 Correct 12 ms 13388 KB Output is correct
27 Correct 10 ms 13308 KB Output is correct
28 Correct 12 ms 13516 KB Output is correct
29 Correct 13 ms 13388 KB Output is correct
30 Correct 11 ms 13260 KB Output is correct
31 Correct 7 ms 12108 KB Output is correct
32 Correct 15 ms 13648 KB Output is correct
33 Correct 6 ms 12108 KB Output is correct
34 Correct 11 ms 13240 KB Output is correct
35 Correct 14 ms 13388 KB Output is correct
36 Correct 11 ms 13260 KB Output is correct
37 Correct 11 ms 13388 KB Output is correct
38 Correct 7 ms 12108 KB Output is correct
39 Correct 14 ms 13388 KB Output is correct
40 Correct 11 ms 13308 KB Output is correct
41 Correct 11 ms 13240 KB Output is correct
42 Correct 11 ms 13324 KB Output is correct
43 Correct 10 ms 13556 KB Output is correct
44 Correct 7 ms 12108 KB Output is correct
45 Correct 12 ms 13500 KB Output is correct
46 Correct 11 ms 13408 KB Output is correct
47 Correct 9 ms 12108 KB Output is correct
48 Correct 12 ms 13260 KB Output is correct
49 Correct 14 ms 13388 KB Output is correct
50 Correct 13 ms 13492 KB Output is correct
51 Correct 11 ms 13248 KB Output is correct
52 Correct 11 ms 13308 KB Output is correct
53 Correct 11 ms 13428 KB Output is correct
54 Correct 11 ms 13288 KB Output is correct
55 Correct 6 ms 12108 KB Output is correct
56 Correct 229 ms 58404 KB Output is correct
57 Correct 194 ms 58076 KB Output is correct
58 Correct 11 ms 13260 KB Output is correct
59 Correct 6 ms 12108 KB Output is correct
60 Correct 6 ms 12080 KB Output is correct
61 Correct 224 ms 58104 KB Output is correct
62 Correct 11 ms 13260 KB Output is correct
63 Correct 218 ms 65260 KB Output is correct
64 Correct 193 ms 58112 KB Output is correct
65 Correct 11 ms 13260 KB Output is correct
66 Correct 190 ms 58944 KB Output is correct
67 Correct 11 ms 13240 KB Output is correct
68 Correct 12 ms 13260 KB Output is correct
69 Correct 206 ms 58676 KB Output is correct
70 Correct 11 ms 13516 KB Output is correct
71 Correct 181 ms 57932 KB Output is correct
72 Correct 215 ms 60376 KB Output is correct
73 Correct 7 ms 12108 KB Output is correct
74 Correct 222 ms 65444 KB Output is correct
75 Correct 182 ms 61836 KB Output is correct
76 Correct 11 ms 13260 KB Output is correct
77 Correct 14 ms 13340 KB Output is correct
78 Correct 224 ms 58464 KB Output is correct
79 Correct 372 ms 63408 KB Output is correct
80 Correct 12 ms 13388 KB Output is correct
81 Correct 13 ms 13260 KB Output is correct
82 Correct 8 ms 12108 KB Output is correct
83 Correct 8 ms 12108 KB Output is correct
84 Correct 12 ms 13364 KB Output is correct
85 Correct 240 ms 60800 KB Output is correct
86 Correct 11 ms 13260 KB Output is correct
87 Correct 190 ms 58396 KB Output is correct
88 Correct 7 ms 12088 KB Output is correct
89 Correct 228 ms 58288 KB Output is correct
90 Correct 229 ms 60620 KB Output is correct
91 Correct 414 ms 63220 KB Output is correct
92 Correct 200 ms 58760 KB Output is correct
93 Correct 13 ms 13312 KB Output is correct
94 Correct 7 ms 12108 KB Output is correct
95 Correct 373 ms 63264 KB Output is correct
96 Correct 379 ms 67176 KB Output is correct
97 Correct 12 ms 13404 KB Output is correct
98 Correct 6 ms 12108 KB Output is correct
99 Correct 219 ms 61672 KB Output is correct
100 Correct 11 ms 13260 KB Output is correct
101 Correct 233 ms 59024 KB Output is correct
102 Correct 366 ms 65612 KB Output is correct
103 Correct 14 ms 13388 KB Output is correct
104 Correct 13 ms 13452 KB Output is correct
105 Correct 16 ms 13368 KB Output is correct
106 Correct 10 ms 13344 KB Output is correct
107 Correct 12 ms 13460 KB Output is correct
108 Runtime error 1308 ms 262148 KB Execution killed with signal 9
109 Halted 0 ms 0 KB -