oj.uz

Submission #1036781

# Submission time Handle Problem Language Result Execution time Memory
1036781 2024-07-27T17:02:58 Z juicy Capital City (JOI20_capital_city) C++17
100 / 100
 1221 ms 380100 KB 
#include <bits/stdc++.h>

using namespace std;

#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif

const int N = 2e5 + 5, LG = 18, MAX = 3600005;

int n, k, m;
int lst[N], c[N], dep[N], pr[LG][N], id[LG][N], low[MAX], num[MAX], cnt[MAX], lab[MAX];
vector<int> tree[N], g[MAX];

void dfs(int u) {
  for (int v : tree[u]) {
    if (v != pr[0][u]) {
      pr[0][v] = u;
      id[0][v] = c[u];
      for (int i = 1; i < LG; ++i) {
        id[i][v] = ++m;
        pr[i][v] = pr[i - 1][pr[i - 1][v]];
        g[m].push_back(id[i - 1][v]);
        g[m].push_back(id[i - 1][pr[i - 1][v]]);
      }
      dep[v] = dep[u] + 1;
      dfs(v);
    }
  }
}

int lca(int u, int v) {
  if (dep[u] < dep[v]) {
    swap(u, v);
  }
  for (int j = LG - 1; ~j; --j) {
    if (dep[u] - (1 << j) >= dep[v]) {
      u = pr[j][u];
    }
  }
  if (u == v) {
    return u;
  }
  for (int j = LG - 1; ~j; --j) {
    if (pr[j][u] != pr[j][v]) {
      u = pr[j][u], v = pr[j][v];
    }
  }
  return pr[0][u];
}

void add(int u, int p) {
  int col = c[u];
  for (int i = LG - 1; ~i; --i) {
    if (dep[u] - (1 << i) >= dep[p]) {
      g[col].push_back(id[i][u]);
      u = pr[i][u];
    }
  }
}

int top, timer, scc;
int st[MAX];

void DFS(int u) {
  st[++top] = u;
  low[u] = num[u] = ++timer;
  for (int v : g[u]) {
    if (!num[v]) {
      DFS(v);
      low[u] = min(low[u], low[v]);
    } else {
      low[u] = min(low[u], num[v]);
    }
  }
  if (low[u] == num[u]) {
    ++scc;
    while (1) {
      int v = st[top--];
      num[v] = MAX;
      lab[v] = scc;
      if (v == u) {
        break;
      }
    }
  } 
}

int main() {
  ios::sync_with_stdio(false); cin.tie(nullptr);

  cin >> n >> k; m = k;
  for (int i = 1; i < n; ++i) {
    int u, v; cin >> u >> v;
    tree[u].push_back(v);
    tree[v].push_back(u);
  }  
  for (int i = 1; i <= n; ++i) {
    cin >> c[i];
  }
  dfs(1);
  for (int i = 1; i <= n; ++i) {
    if (lst[c[i]]) {
      int x = lca(i, lst[c[i]]);
      add(i, x);
      add(lst[c[i]], x);
    }
    lst[c[i]] = i;
  }
  for (int i = 1; i <= m; ++i) {
    if (!num[i]) {
      DFS(i);
    }
  }
  for (int i = 1; i <= k; ++i) {
    ++cnt[lab[i]];
  }
  vector<int> ver(m);
  iota(ver.begin(), ver.end(), 1);
  sort(ver.begin(), ver.end(), [&](int i, int j) {
    return lab[i] < lab[j];
  });
  int res = MAX;
  for (int i = 1, j = 0; i <= scc; ++i) {
    bool out = 0;
    while (j < m && lab[ver[j]] == i) {
      for (int k : g[ver[j]]) {
        if (lab[k] != i && cnt[lab[k]]) {
          out = 1;
        }
      }
      j++;
    }
    if (out) {
      cnt[i] = 1;
    } else if (cnt[i]) {
      res = min(res, cnt[i] - 1);
    }
  }
  cout << res;
  return 0;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 89684 KB Output is correct
2 Correct 42 ms 89944 KB Output is correct
3 Correct 38 ms 89948 KB Output is correct
4 Correct 36 ms 89944 KB Output is correct
5 Correct 38 ms 89940 KB Output is correct
6 Correct 38 ms 89940 KB Output is correct
7 Correct 35 ms 89940 KB Output is correct
8 Correct 38 ms 89940 KB Output is correct
9 Correct 39 ms 90200 KB Output is correct
10 Correct 46 ms 89684 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 89684 KB Output is correct
2 Correct 42 ms 89944 KB Output is correct
3 Correct 38 ms 89948 KB Output is correct
4 Correct 36 ms 89944 KB Output is correct
5 Correct 38 ms 89940 KB Output is correct
6 Correct 38 ms 89940 KB Output is correct
7 Correct 35 ms 89940 KB Output is correct
8 Correct 38 ms 89940 KB Output is correct
9 Correct 39 ms 90200 KB Output is correct
10 Correct 46 ms 89684 KB Output is correct
11 Correct 42 ms 92060 KB Output is correct
12 Correct 41 ms 91984 KB Output is correct
13 Correct 43 ms 91988 KB Output is correct
14 Correct 45 ms 91984 KB Output is correct
15 Correct 42 ms 91988 KB Output is correct
16 Correct 42 ms 91988 KB Output is correct
17 Correct 43 ms 91988 KB Output is correct
18 Correct 41 ms 92252 KB Output is correct
19 Correct 41 ms 92104 KB Output is correct
20 Correct 42 ms 92244 KB Output is correct
21 Correct 42 ms 92240 KB Output is correct
22 Correct 43 ms 92240 KB Output is correct
23 Correct 42 ms 92500 KB Output is correct
24 Correct 43 ms 91992 KB Output is correct
25 Correct 42 ms 92200 KB Output is correct
26 Correct 41 ms 92244 KB Output is correct
27 Correct 42 ms 92260 KB Output is correct
28 Correct 43 ms 92244 KB Output is correct
29 Correct 42 ms 91988 KB Output is correct
30 Correct 41 ms 91988 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1106 ms 380100 KB Output is correct
2 Correct 862 ms 336468 KB Output is correct
3 Correct 1127 ms 342808 KB Output is correct
4 Correct 847 ms 336496 KB Output is correct
5 Correct 1084 ms 374844 KB Output is correct
6 Correct 840 ms 336208 KB Output is correct
7 Correct 1133 ms 361776 KB Output is correct
8 Correct 908 ms 334708 KB Output is correct
9 Correct 1031 ms 322120 KB Output is correct
10 Correct 1042 ms 318280 KB Output is correct
11 Correct 1018 ms 322804 KB Output is correct
12 Correct 988 ms 326764 KB Output is correct
13 Correct 992 ms 317500 KB Output is correct
14 Correct 1045 ms 326856 KB Output is correct
15 Correct 1039 ms 326820 KB Output is correct
16 Correct 1039 ms 318912 KB Output is correct
17 Correct 1161 ms 319920 KB Output is correct
18 Correct 1221 ms 319700 KB Output is correct
19 Correct 1157 ms 325316 KB Output is correct
20 Correct 1126 ms 327896 KB Output is correct
21 Correct 38 ms 89680 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 89684 KB Output is correct
2 Correct 42 ms 89944 KB Output is correct
3 Correct 38 ms 89948 KB Output is correct
4 Correct 36 ms 89944 KB Output is correct
5 Correct 38 ms 89940 KB Output is correct
6 Correct 38 ms 89940 KB Output is correct
7 Correct 35 ms 89940 KB Output is correct
8 Correct 38 ms 89940 KB Output is correct
9 Correct 39 ms 90200 KB Output is correct
10 Correct 46 ms 89684 KB Output is correct
11 Correct 42 ms 92060 KB Output is correct
12 Correct 41 ms 91984 KB Output is correct
13 Correct 43 ms 91988 KB Output is correct
14 Correct 45 ms 91984 KB Output is correct
15 Correct 42 ms 91988 KB Output is correct
16 Correct 42 ms 91988 KB Output is correct
17 Correct 43 ms 91988 KB Output is correct
18 Correct 41 ms 92252 KB Output is correct
19 Correct 41 ms 92104 KB Output is correct
20 Correct 42 ms 92244 KB Output is correct
21 Correct 42 ms 92240 KB Output is correct
22 Correct 43 ms 92240 KB Output is correct
23 Correct 42 ms 92500 KB Output is correct
24 Correct 43 ms 91992 KB Output is correct
25 Correct 42 ms 92200 KB Output is correct
26 Correct 41 ms 92244 KB Output is correct
27 Correct 42 ms 92260 KB Output is correct
28 Correct 43 ms 92244 KB Output is correct
29 Correct 42 ms 91988 KB Output is correct
30 Correct 41 ms 91988 KB Output is correct
31 Correct 1106 ms 380100 KB Output is correct
32 Correct 862 ms 336468 KB Output is correct
33 Correct 1127 ms 342808 KB Output is correct
34 Correct 847 ms 336496 KB Output is correct
35 Correct 1084 ms 374844 KB Output is correct
36 Correct 840 ms 336208 KB Output is correct
37 Correct 1133 ms 361776 KB Output is correct
38 Correct 908 ms 334708 KB Output is correct
39 Correct 1031 ms 322120 KB Output is correct
40 Correct 1042 ms 318280 KB Output is correct
41 Correct 1018 ms 322804 KB Output is correct
42 Correct 988 ms 326764 KB Output is correct
43 Correct 992 ms 317500 KB Output is correct
44 Correct 1045 ms 326856 KB Output is correct
45 Correct 1039 ms 326820 KB Output is correct
46 Correct 1039 ms 318912 KB Output is correct
47 Correct 1161 ms 319920 KB Output is correct
48 Correct 1221 ms 319700 KB Output is correct
49 Correct 1157 ms 325316 KB Output is correct
50 Correct 1126 ms 327896 KB Output is correct
51 Correct 38 ms 89680 KB Output is correct
52 Correct 809 ms 312572 KB Output is correct
53 Correct 816 ms 312788 KB Output is correct
54 Correct 867 ms 312800 KB Output is correct
55 Correct 827 ms 312792 KB Output is correct
56 Correct 850 ms 312640 KB Output is correct
57 Correct 816 ms 312820 KB Output is correct
58 Correct 934 ms 319316 KB Output is correct
59 Correct 916 ms 319060 KB Output is correct
60 Correct 1038 ms 314712 KB Output is correct
61 Correct 998 ms 315220 KB Output is correct
62 Correct 875 ms 336228 KB Output is correct
63 Correct 886 ms 336212 KB Output is correct
64 Correct 849 ms 335260 KB Output is correct
65 Correct 877 ms 336136 KB Output is correct
66 Correct 840 ms 321348 KB Output is correct
67 Correct 910 ms 321956 KB Output is correct
68 Correct 908 ms 321420 KB Output is correct
69 Correct 841 ms 321352 KB Output is correct
70 Correct 884 ms 321360 KB Output is correct
71 Correct 870 ms 321240 KB Output is correct
72 Correct 842 ms 321364 KB Output is correct
73 Correct 994 ms 321340 KB Output is correct
74 Correct 875 ms 321352 KB Output is correct
75 Correct 956 ms 321552 KB Output is correct
76 Correct 841 ms 316756 KB Output is correct
77 Correct 713 ms 313940 KB Output is correct
78 Correct 1073 ms 319544 KB Output is correct
79 Correct 1027 ms 315960 KB Output is correct
80 Correct 1014 ms 327740 KB Output is correct
81 Correct 1067 ms 323008 KB Output is correct
82 Correct 1014 ms 322628 KB Output is correct
83 Correct 1047 ms 316876 KB Output is correct
84 Correct 1081 ms 326364 KB Output is correct
85 Correct 1018 ms 324488 KB Output is correct
86 Correct 1004 ms 315812 KB Output is correct
87 Correct 966 ms 319428 KB Output is correct
88 Correct 1069 ms 322748 KB Output is correct
89 Correct 987 ms 316412 KB Output is correct
90 Correct 972 ms 316972 KB Output is correct
91 Correct 1014 ms 319992 KB Output is correct
92 Correct 1117 ms 317468 KB Output is correct
93 Correct 953 ms 317292 KB Output is correct
94 Correct 967 ms 315984 KB Output is correct
95 Correct 999 ms 319620 KB Output is correct
96 Correct 977 ms 316540 KB Output is correct
97 Correct 1097 ms 320068 KB Output is correct