oj.uz

Submission #332211

# Submission time Handle Problem Language Result Execution time Memory
332211 2020-12-01T17:02:02 Z LifeHappen__ Capital City (JOI20_capital_city) C++14
100 / 100
 789 ms 41708 KB 
#include <bits/stdc++.h>

using namespace std;

#define ii pair<int, int>
#define fi first
#define se second
#define pb push_back
#define eb emplace_back

const int N = 2e5 + 5;
int n, k;
vector<int> ad[N], in[N];
int col[N];
ii ed[N];
int sz[N], dd[N], cnt, cnt_col[N], pd[N], vis[N];
int vis_col[N];
int res = 1e9;

void find_size(int u, int par) {
  sz[u] = 1;
  cnt++;
  for (int &v : ad[u]) {
    if(v != par && !dd[v]) {
      find_size(v, u);
      sz[u] += sz[v];
      //cerr << sz[v] << '\n';
    }
  }
}
int find_big(int u, int par) {
  for (int &v : ad[u]) {
    if(v != par && !dd[v] && sz[v] >= cnt / 2) {
      return find_big(v, u);
    }
  }
  return u;
}
void cen(int u) {
  cnt = 0;
  find_size(u, 0);
  u = find_big(u, 0);
  //cerr << u << ' ';
  int root = u;
  pd[u] = u;
  function<void(int, int)> dfs = [&](int u, int par) {
    vis[u] = root;
    for (auto v : ad[u]) {
      if(v != par && !dd[v]) {
        pd[v] = u;
        vis[v] = root;
        dfs(v, u);
      }
    }
  };
  dfs(u, 0);
  vector <int> ans;
  queue <int> q;
  q.push(u);
  int dem = -1;
  bool ok = 1;
  while(q.size() && ok) {
    int u = q.front();
    q.pop();
    dem++;
    while(ok) {
      if(vis[u] == 0) break;
      if(vis_col[col[u]] == 0) {
        dem -= cnt_col[col[u]];
        ans.pb(col[u]);
        vis_col[col[u]] = 1;
        for (int &v : in[col[u]]) {
          q.push(v);
          if(vis[v] != root) {
            ok = 0;
            break;
          }
        }
      }
      vis[u] = 0;
      u = pd[u];
      if(u == root) break;
    }
  }
  for (auto v : ans) vis_col[v] = 0;
  if(dem == 0) {
    res = min(res, (int)(ans.size()) - 1);
  }
  dd[u] = 1;
  for (auto v : ad[u]) {
    if(!dd[v]) {
      cen(v);
    }
  }
}

int32_t main() {
  ios_base::sync_with_stdio(false);
  cin.tie(0); cout.tie(0);

  cin >> n >> k;
  for (int i = 1; i < n; ++i) {
    int u, v;
    cin >> u >> v;
    ed[i] = {u, v};
    ad[u].pb(v);
    ad[v].pb(u);
  }
  for (int i = 1; i <= n; ++i) {
    cin >> col[i];
    cnt_col[col[i]]++;
    in[col[i]].pb(i);
  }
  cen(1);
  cout << res << '\n';
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9868 KB Output is correct
2 Correct 7 ms 9836 KB Output is correct
3 Correct 7 ms 9836 KB Output is correct
4 Correct 7 ms 9836 KB Output is correct
5 Correct 7 ms 9836 KB Output is correct
6 Correct 7 ms 9836 KB Output is correct
7 Correct 7 ms 9836 KB Output is correct
8 Correct 7 ms 9836 KB Output is correct
9 Correct 7 ms 9836 KB Output is correct
10 Correct 7 ms 9708 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9868 KB Output is correct
2 Correct 7 ms 9836 KB Output is correct
3 Correct 7 ms 9836 KB Output is correct
4 Correct 7 ms 9836 KB Output is correct
5 Correct 7 ms 9836 KB Output is correct
6 Correct 7 ms 9836 KB Output is correct
7 Correct 7 ms 9836 KB Output is correct
8 Correct 7 ms 9836 KB Output is correct
9 Correct 7 ms 9836 KB Output is correct
10 Correct 7 ms 9708 KB Output is correct
11 Correct 9 ms 9964 KB Output is correct
12 Correct 10 ms 9964 KB Output is correct
13 Correct 9 ms 9964 KB Output is correct
14 Correct 11 ms 9964 KB Output is correct
15 Correct 9 ms 9964 KB Output is correct
16 Correct 9 ms 9964 KB Output is correct
17 Correct 8 ms 10092 KB Output is correct
18 Correct 9 ms 10112 KB Output is correct
19 Correct 9 ms 9964 KB Output is correct
20 Correct 9 ms 9964 KB Output is correct
21 Correct 9 ms 9964 KB Output is correct
22 Correct 9 ms 10092 KB Output is correct
23 Correct 9 ms 10092 KB Output is correct
24 Correct 10 ms 9964 KB Output is correct
25 Correct 9 ms 9984 KB Output is correct
26 Correct 10 ms 10240 KB Output is correct
27 Correct 9 ms 10092 KB Output is correct
28 Correct 10 ms 9964 KB Output is correct
29 Correct 9 ms 9964 KB Output is correct
30 Correct 9 ms 9964 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 726 ms 41408 KB Output is correct
2 Correct 236 ms 41580 KB Output is correct
3 Correct 733 ms 41068 KB Output is correct
4 Correct 243 ms 41580 KB Output is correct
5 Correct 748 ms 38764 KB Output is correct
6 Correct 231 ms 41580 KB Output is correct
7 Correct 744 ms 39020 KB Output is correct
8 Correct 244 ms 41576 KB Output is correct
9 Correct 762 ms 37612 KB Output is correct
10 Correct 757 ms 37660 KB Output is correct
11 Correct 703 ms 37808 KB Output is correct
12 Correct 737 ms 39916 KB Output is correct
13 Correct 770 ms 37580 KB Output is correct
14 Correct 725 ms 40108 KB Output is correct
15 Correct 775 ms 39852 KB Output is correct
16 Correct 752 ms 37672 KB Output is correct
17 Correct 760 ms 37740 KB Output is correct
18 Correct 786 ms 37644 KB Output is correct
19 Correct 789 ms 38948 KB Output is correct
20 Correct 702 ms 40768 KB Output is correct
21 Correct 7 ms 9708 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 9868 KB Output is correct
2 Correct 7 ms 9836 KB Output is correct
3 Correct 7 ms 9836 KB Output is correct
4 Correct 7 ms 9836 KB Output is correct
5 Correct 7 ms 9836 KB Output is correct
6 Correct 7 ms 9836 KB Output is correct
7 Correct 7 ms 9836 KB Output is correct
8 Correct 7 ms 9836 KB Output is correct
9 Correct 7 ms 9836 KB Output is correct
10 Correct 7 ms 9708 KB Output is correct
11 Correct 9 ms 9964 KB Output is correct
12 Correct 10 ms 9964 KB Output is correct
13 Correct 9 ms 9964 KB Output is correct
14 Correct 11 ms 9964 KB Output is correct
15 Correct 9 ms 9964 KB Output is correct
16 Correct 9 ms 9964 KB Output is correct
17 Correct 8 ms 10092 KB Output is correct
18 Correct 9 ms 10112 KB Output is correct
19 Correct 9 ms 9964 KB Output is correct
20 Correct 9 ms 9964 KB Output is correct
21 Correct 9 ms 9964 KB Output is correct
22 Correct 9 ms 10092 KB Output is correct
23 Correct 9 ms 10092 KB Output is correct
24 Correct 10 ms 9964 KB Output is correct
25 Correct 9 ms 9984 KB Output is correct
26 Correct 10 ms 10240 KB Output is correct
27 Correct 9 ms 10092 KB Output is correct
28 Correct 10 ms 9964 KB Output is correct
29 Correct 9 ms 9964 KB Output is correct
30 Correct 9 ms 9964 KB Output is correct
31 Correct 726 ms 41408 KB Output is correct
32 Correct 236 ms 41580 KB Output is correct
33 Correct 733 ms 41068 KB Output is correct
34 Correct 243 ms 41580 KB Output is correct
35 Correct 748 ms 38764 KB Output is correct
36 Correct 231 ms 41580 KB Output is correct
37 Correct 744 ms 39020 KB Output is correct
38 Correct 244 ms 41576 KB Output is correct
39 Correct 762 ms 37612 KB Output is correct
40 Correct 757 ms 37660 KB Output is correct
41 Correct 703 ms 37808 KB Output is correct
42 Correct 737 ms 39916 KB Output is correct
43 Correct 770 ms 37580 KB Output is correct
44 Correct 725 ms 40108 KB Output is correct
45 Correct 775 ms 39852 KB Output is correct
46 Correct 752 ms 37672 KB Output is correct
47 Correct 760 ms 37740 KB Output is correct
48 Correct 786 ms 37644 KB Output is correct
49 Correct 789 ms 38948 KB Output is correct
50 Correct 702 ms 40768 KB Output is correct
51 Correct 7 ms 9708 KB Output is correct
52 Correct 574 ms 27916 KB Output is correct
53 Correct 609 ms 27796 KB Output is correct
54 Correct 584 ms 27628 KB Output is correct
55 Correct 541 ms 27560 KB Output is correct
56 Correct 576 ms 27564 KB Output is correct
57 Correct 583 ms 27852 KB Output is correct
58 Correct 507 ms 31864 KB Output is correct
59 Correct 546 ms 32108 KB Output is correct
60 Correct 676 ms 30896 KB Output is correct
61 Correct 681 ms 30936 KB Output is correct
62 Correct 228 ms 41708 KB Output is correct
63 Correct 230 ms 41580 KB Output is correct
64 Correct 227 ms 41580 KB Output is correct
65 Correct 232 ms 41700 KB Output is correct
66 Correct 448 ms 35556 KB Output is correct
67 Correct 477 ms 35556 KB Output is correct
68 Correct 467 ms 35428 KB Output is correct
69 Correct 453 ms 35428 KB Output is correct
70 Correct 470 ms 35428 KB Output is correct
71 Correct 463 ms 35300 KB Output is correct
72 Correct 469 ms 35500 KB Output is correct
73 Correct 447 ms 35556 KB Output is correct
74 Correct 486 ms 35428 KB Output is correct
75 Correct 478 ms 35556 KB Output is correct
76 Correct 679 ms 34320 KB Output is correct
77 Correct 666 ms 33924 KB Output is correct
78 Correct 772 ms 37672 KB Output is correct
79 Correct 754 ms 37672 KB Output is correct
80 Correct 785 ms 40380 KB Output is correct
81 Correct 781 ms 37740 KB Output is correct
82 Correct 748 ms 37632 KB Output is correct
83 Correct 758 ms 37644 KB Output is correct
84 Correct 780 ms 39604 KB Output is correct
85 Correct 744 ms 38428 KB Output is correct
86 Correct 738 ms 37868 KB Output is correct
87 Correct 735 ms 37664 KB Output is correct
88 Correct 642 ms 36844 KB Output is correct
89 Correct 640 ms 35308 KB Output is correct
90 Correct 649 ms 35180 KB Output is correct
91 Correct 673 ms 35308 KB Output is correct
92 Correct 669 ms 35392 KB Output is correct
93 Correct 641 ms 35436 KB Output is correct
94 Correct 662 ms 35436 KB Output is correct
95 Correct 640 ms 35308 KB Output is correct
96 Correct 675 ms 35436 KB Output is correct
97 Correct 631 ms 35436 KB Output is correct