oj.uz

Submission #202004

# Submission time Handle Problem Language Result Execution time Memory
202004 2020-02-13T03:09:02 Z quocnguyen1012 Mergers (JOI19_mergers) C++14
70 / 100
 218 ms 26488 KB 
#include <bits/stdc++.h>

#define fi first
#define se second
#define mp make_pair
#define pb push_back

using namespace std;
typedef long long ll;

const int maxn = 1e5 + 5;

vector<int> adj[maxn];
int N, cnt[maxn], sum[maxn], K;
vector<int> grp[maxn];
int depth[maxn], tin[maxn], tout[maxn], par[maxn][20];

class DSU
{
public:
  vector<int> lab;
  void init(int n)
  {
    lab.assign(n + 5, -1);
  }
  int finds(int u)
  {
    if (lab[u] < 0) return u;
    return lab[u] = finds(lab[u]);
  }
  void merges(int u, int v)
  {
    u = finds(u); v = finds(v);
    if (u == v) return;
    if (lab[v] < lab[u]) swap(u, v);
    lab[u] += lab[v];
    lab[v] = u;
  }
}dsu;

void prepare(int u = 1, int p = -1)
{
  static int nTime = 0;
  tin[u] = ++nTime;
  for (int i = 1; (1 << i) <= N; ++i){
    par[u][i] = par[par[u][i - 1]][i - 1];
  }
  for (int v : adj[u]) if (v != p){
    depth[v] = depth[u] + 1;
    par[v][0] = u;
    prepare(v, u);
  }
  tout[u] = nTime;
}

int LCA(int x, int y)
{
  if (depth[y] > depth[x]) swap(x, y);
  for (int k = 19; k >= 0; --k){
    if (depth[par[x][k]] >= depth[y]){
      x = par[x][k];
    }
  }
  if (x == y) return x;
  for (int k = 19; k >= 0; --k){
    if (par[x][k] != par[y][k]){
      x = par[x][k];
      y = par[y][k];
    }
  }
  return par[x][0];
}

void DFS(int u, int p = -1)
{
  for (int v : adj[u]) if (v != p){
    DFS(v, u);
    sum[u] += sum[v];
  }
}

signed main(void)
{
  ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
  if (fopen("A.INP", "r")){
    freopen("A.INP", "r", stdin);
    freopen("A.OUT", "w", stdout);
  }
  cin >> N >> K; dsu.init(N);
  for (int i = 1; i < N; ++i){
    int u, v; cin >> u >> v;
    adj[u].pb(v); adj[v].pb(u);
  }
  for (int i = 1; i <= N; ++i){
    int v; cin >> v;
    grp[v].pb(i);
  }
  depth[1] = 1;
  prepare();
  for (int i = 1; i <= K; ++i){
    sort(grp[i].begin(), grp[i].end(),
      [&](const int & x, const int & y){
        return tin[x] < tin[y];
      }
    );
    for (int j = 0; j < (int)grp[i].size() - 1; ++j){
      sum[grp[i][j]]++; sum[grp[i][j + 1]]++;
      sum[LCA(grp[i][j], grp[i][j + 1])] -= 2;
    }
  }
  DFS(1);
  for (int i = 2; i <= N; ++i){
    if (sum[i] >= 1){
      dsu.merges(i, par[i][0]);
    }
  }
  for (int i = 2; i <= N; ++i){
    int l = dsu.finds(i);
    int r = dsu.finds(par[i][0]);
    if (l != r) ++cnt[l], ++cnt[r];
  }
  int res = 0;
  for (int i = 1; i <= N; ++i){
    res += (cnt[i] == 1);
  }
  cout << (res + 1) / 2;
}

Compilation message

mergers.cpp: In function 'int main()':
mergers.cpp:86:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     freopen("A.INP", "r", stdin);
     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
mergers.cpp:87:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     freopen("A.OUT", "w", stdout);
     ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 5112 KB Output is correct
2 Correct 7 ms 5112 KB Output is correct
3 Correct 8 ms 5112 KB Output is correct
4 Correct 8 ms 5112 KB Output is correct
5 Correct 8 ms 4984 KB Output is correct
6 Correct 8 ms 5112 KB Output is correct
7 Correct 8 ms 5112 KB Output is correct
8 Correct 8 ms 5112 KB Output is correct
9 Correct 8 ms 5112 KB Output is correct
10 Correct 8 ms 5112 KB Output is correct
11 Correct 8 ms 5112 KB Output is correct
12 Correct 8 ms 5112 KB Output is correct
13 Correct 8 ms 5240 KB Output is correct
14 Correct 8 ms 5112 KB Output is correct
15 Correct 8 ms 5112 KB Output is correct
16 Correct 7 ms 4984 KB Output is correct
17 Correct 9 ms 4984 KB Output is correct
18 Correct 8 ms 5112 KB Output is correct
19 Correct 8 ms 4984 KB Output is correct
20 Correct 8 ms 5112 KB Output is correct
21 Correct 8 ms 5112 KB Output is correct
22 Correct 8 ms 5112 KB Output is correct
23 Correct 9 ms 4984 KB Output is correct
24 Correct 8 ms 5112 KB Output is correct

Subtask #2
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 5112 KB Output is correct
2 Correct 7 ms 5112 KB Output is correct
3 Correct 8 ms 5112 KB Output is correct
4 Correct 8 ms 5112 KB Output is correct
5 Correct 8 ms 4984 KB Output is correct
6 Correct 8 ms 5112 KB Output is correct
7 Correct 8 ms 5112 KB Output is correct
8 Correct 8 ms 5112 KB Output is correct
9 Correct 8 ms 5112 KB Output is correct
10 Correct 8 ms 5112 KB Output is correct
11 Correct 8 ms 5112 KB Output is correct
12 Correct 8 ms 5112 KB Output is correct
13 Correct 8 ms 5240 KB Output is correct
14 Correct 8 ms 5112 KB Output is correct
15 Correct 8 ms 5112 KB Output is correct
16 Correct 7 ms 4984 KB Output is correct
17 Correct 9 ms 4984 KB Output is correct
18 Correct 8 ms 5112 KB Output is correct
19 Correct 8 ms 4984 KB Output is correct
20 Correct 8 ms 5112 KB Output is correct
21 Correct 8 ms 5112 KB Output is correct
22 Correct 8 ms 5112 KB Output is correct
23 Correct 9 ms 4984 KB Output is correct
24 Correct 8 ms 5112 KB Output is correct
25 Correct 8 ms 5112 KB Output is correct
26 Correct 10 ms 5496 KB Output is correct
27 Correct 10 ms 5496 KB Output is correct
28 Correct 11 ms 5728 KB Output is correct
29 Correct 9 ms 5624 KB Output is correct
30 Correct 11 ms 5496 KB Output is correct
31 Correct 8 ms 5016 KB Output is correct
32 Correct 10 ms 5752 KB Output is correct
33 Correct 8 ms 5112 KB Output is correct
34 Correct 10 ms 5496 KB Output is correct
35 Correct 11 ms 5624 KB Output is correct
36 Correct 11 ms 5496 KB Output is correct
37 Correct 10 ms 5624 KB Output is correct
38 Correct 8 ms 5112 KB Output is correct
39 Correct 11 ms 5496 KB Output is correct
40 Correct 10 ms 5500 KB Output is correct
41 Correct 10 ms 5496 KB Output is correct
42 Correct 10 ms 5496 KB Output is correct
43 Correct 11 ms 5752 KB Output is correct
44 Correct 8 ms 5112 KB Output is correct
45 Correct 12 ms 5752 KB Output is correct
46 Correct 10 ms 5496 KB Output is correct
47 Correct 8 ms 5112 KB Output is correct
48 Correct 11 ms 5496 KB Output is correct
49 Correct 10 ms 5624 KB Output is correct
50 Correct 10 ms 5624 KB Output is correct
51 Correct 10 ms 5500 KB Output is correct
52 Correct 10 ms 5500 KB Output is correct
53 Correct 10 ms 5624 KB Output is correct
54 Correct 10 ms 5496 KB Output is correct

Subtask #3
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 5112 KB Output is correct
2 Correct 7 ms 5112 KB Output is correct
3 Correct 8 ms 5112 KB Output is correct
4 Correct 8 ms 5112 KB Output is correct
5 Correct 8 ms 4984 KB Output is correct
6 Correct 8 ms 5112 KB Output is correct
7 Correct 8 ms 5112 KB Output is correct
8 Correct 8 ms 5112 KB Output is correct
9 Correct 8 ms 5112 KB Output is correct
10 Correct 8 ms 5112 KB Output is correct
11 Correct 8 ms 5112 KB Output is correct
12 Correct 8 ms 5112 KB Output is correct
13 Correct 8 ms 5240 KB Output is correct
14 Correct 8 ms 5112 KB Output is correct
15 Correct 8 ms 5112 KB Output is correct
16 Correct 7 ms 4984 KB Output is correct
17 Correct 9 ms 4984 KB Output is correct
18 Correct 8 ms 5112 KB Output is correct
19 Correct 8 ms 4984 KB Output is correct
20 Correct 8 ms 5112 KB Output is correct
21 Correct 8 ms 5112 KB Output is correct
22 Correct 8 ms 5112 KB Output is correct
23 Correct 9 ms 4984 KB Output is correct
24 Correct 8 ms 5112 KB Output is correct
25 Correct 8 ms 5116 KB Output is correct
26 Correct 116 ms 20336 KB Output is correct
27 Correct 165 ms 19960 KB Output is correct
28 Correct 10 ms 5496 KB Output is correct
29 Correct 8 ms 5112 KB Output is correct
30 Correct 8 ms 5112 KB Output is correct
31 Correct 152 ms 19960 KB Output is correct
32 Correct 10 ms 5496 KB Output is correct
33 Correct 218 ms 25720 KB Output is correct
34 Correct 163 ms 19960 KB Output is correct
35 Correct 11 ms 5496 KB Output is correct
36 Correct 181 ms 20576 KB Output is correct
37 Correct 10 ms 5496 KB Output is correct
38 Correct 12 ms 5752 KB Output is correct
39 Correct 116 ms 20208 KB Output is correct
40 Correct 11 ms 5624 KB Output is correct
41 Correct 154 ms 19952 KB Output is correct
42 Correct 206 ms 22008 KB Output is correct
43 Correct 8 ms 5112 KB Output is correct
44 Correct 192 ms 25856 KB Output is correct
45 Correct 212 ms 23008 KB Output is correct
46 Correct 10 ms 5496 KB Output is correct
47 Correct 11 ms 5496 KB Output is correct

Subtask #4
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 114 ms 18928 KB Output is correct
2 Correct 103 ms 23280 KB Output is correct
3 Correct 10 ms 5496 KB Output is correct
4 Correct 10 ms 5496 KB Output is correct
5 Correct 8 ms 5112 KB Output is correct
6 Correct 9 ms 5112 KB Output is correct
7 Correct 10 ms 5496 KB Output is correct
8 Correct 162 ms 21752 KB Output is correct
9 Correct 11 ms 5496 KB Output is correct
10 Correct 146 ms 20320 KB Output is correct
11 Correct 8 ms 5112 KB Output is correct
12 Correct 173 ms 20344 KB Output is correct
13 Correct 162 ms 21624 KB Output is correct
14 Correct 131 ms 23292 KB Output is correct
15 Correct 118 ms 20208 KB Output is correct
16 Correct 10 ms 5496 KB Output is correct
17 Correct 8 ms 5112 KB Output is correct
18 Correct 105 ms 23344 KB Output is correct
19 Correct 163 ms 26488 KB Output is correct
20 Correct 10 ms 5624 KB Output is correct
21 Correct 8 ms 5112 KB Output is correct
22 Correct 112 ms 22000 KB Output is correct
23 Correct 11 ms 5496 KB Output is correct
24 Correct 165 ms 20856 KB Output is correct
25 Correct 157 ms 25336 KB Output is correct
26 Correct 10 ms 5624 KB Output is correct
27 Correct 10 ms 5624 KB Output is correct
28 Correct 10 ms 5496 KB Output is correct
29 Correct 10 ms 5496 KB Output is correct
30 Correct 10 ms 5496 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 5112 KB Output is correct
2 Correct 7 ms 5112 KB Output is correct
3 Correct 8 ms 5112 KB Output is correct
4 Correct 8 ms 5112 KB Output is correct
5 Correct 8 ms 4984 KB Output is correct
6 Correct 8 ms 5112 KB Output is correct
7 Correct 8 ms 5112 KB Output is correct
8 Correct 8 ms 5112 KB Output is correct
9 Correct 8 ms 5112 KB Output is correct
10 Correct 8 ms 5112 KB Output is correct
11 Correct 8 ms 5112 KB Output is correct
12 Correct 8 ms 5112 KB Output is correct
13 Correct 8 ms 5240 KB Output is correct
14 Correct 8 ms 5112 KB Output is correct
15 Correct 8 ms 5112 KB Output is correct
16 Correct 7 ms 4984 KB Output is correct
17 Correct 9 ms 4984 KB Output is correct
18 Correct 8 ms 5112 KB Output is correct
19 Correct 8 ms 4984 KB Output is correct
20 Correct 8 ms 5112 KB Output is correct
21 Correct 8 ms 5112 KB Output is correct
22 Correct 8 ms 5112 KB Output is correct
23 Correct 9 ms 4984 KB Output is correct
24 Correct 8 ms 5112 KB Output is correct
25 Correct 8 ms 5112 KB Output is correct
26 Correct 10 ms 5496 KB Output is correct
27 Correct 10 ms 5496 KB Output is correct
28 Correct 11 ms 5728 KB Output is correct
29 Correct 9 ms 5624 KB Output is correct
30 Correct 11 ms 5496 KB Output is correct
31 Correct 8 ms 5016 KB Output is correct
32 Correct 10 ms 5752 KB Output is correct
33 Correct 8 ms 5112 KB Output is correct
34 Correct 10 ms 5496 KB Output is correct
35 Correct 11 ms 5624 KB Output is correct
36 Correct 11 ms 5496 KB Output is correct
37 Correct 10 ms 5624 KB Output is correct
38 Correct 8 ms 5112 KB Output is correct
39 Correct 11 ms 5496 KB Output is correct
40 Correct 10 ms 5500 KB Output is correct
41 Correct 10 ms 5496 KB Output is correct
42 Correct 10 ms 5496 KB Output is correct
43 Correct 11 ms 5752 KB Output is correct
44 Correct 8 ms 5112 KB Output is correct
45 Correct 12 ms 5752 KB Output is correct
46 Correct 10 ms 5496 KB Output is correct
47 Correct 8 ms 5112 KB Output is correct
48 Correct 11 ms 5496 KB Output is correct
49 Correct 10 ms 5624 KB Output is correct
50 Correct 10 ms 5624 KB Output is correct
51 Correct 10 ms 5500 KB Output is correct
52 Correct 10 ms 5500 KB Output is correct
53 Correct 10 ms 5624 KB Output is correct
54 Correct 10 ms 5496 KB Output is correct
55 Correct 8 ms 5116 KB Output is correct
56 Correct 116 ms 20336 KB Output is correct
57 Correct 165 ms 19960 KB Output is correct
58 Correct 10 ms 5496 KB Output is correct
59 Correct 8 ms 5112 KB Output is correct
60 Correct 8 ms 5112 KB Output is correct
61 Correct 152 ms 19960 KB Output is correct
62 Correct 10 ms 5496 KB Output is correct
63 Correct 218 ms 25720 KB Output is correct
64 Correct 163 ms 19960 KB Output is correct
65 Correct 11 ms 5496 KB Output is correct
66 Correct 181 ms 20576 KB Output is correct
67 Correct 10 ms 5496 KB Output is correct
68 Correct 12 ms 5752 KB Output is correct
69 Correct 116 ms 20208 KB Output is correct
70 Correct 11 ms 5624 KB Output is correct
71 Correct 154 ms 19952 KB Output is correct
72 Correct 206 ms 22008 KB Output is correct
73 Correct 8 ms 5112 KB Output is correct
74 Correct 192 ms 25856 KB Output is correct
75 Correct 212 ms 23008 KB Output is correct
76 Correct 10 ms 5496 KB Output is correct
77 Correct 11 ms 5496 KB Output is correct
78 Correct 114 ms 18928 KB Output is correct
79 Correct 103 ms 23280 KB Output is correct
80 Correct 10 ms 5496 KB Output is correct
81 Correct 10 ms 5496 KB Output is correct
82 Correct 8 ms 5112 KB Output is correct
83 Correct 9 ms 5112 KB Output is correct
84 Correct 10 ms 5496 KB Output is correct
85 Correct 162 ms 21752 KB Output is correct
86 Correct 11 ms 5496 KB Output is correct
87 Correct 146 ms 20320 KB Output is correct
88 Correct 8 ms 5112 KB Output is correct
89 Correct 173 ms 20344 KB Output is correct
90 Correct 162 ms 21624 KB Output is correct
91 Correct 131 ms 23292 KB Output is correct
92 Correct 118 ms 20208 KB Output is correct
93 Correct 10 ms 5496 KB Output is correct
94 Correct 8 ms 5112 KB Output is correct
95 Correct 105 ms 23344 KB Output is correct
96 Correct 163 ms 26488 KB Output is correct
97 Correct 10 ms 5624 KB Output is correct
98 Correct 8 ms 5112 KB Output is correct
99 Correct 112 ms 22000 KB Output is correct
100 Correct 11 ms 5496 KB Output is correct
101 Correct 165 ms 20856 KB Output is correct
102 Correct 157 ms 25336 KB Output is correct
103 Correct 10 ms 5624 KB Output is correct
104 Correct 10 ms 5624 KB Output is correct
105 Correct 10 ms 5496 KB Output is correct
106 Correct 10 ms 5496 KB Output is correct
107 Correct 10 ms 5496 KB Output is correct
108 Runtime error 18 ms 14200 KB Execution killed with signal 11 (could be triggered by violating memory limits)
109 Halted 0 ms 0 KB -