oj.uz

Submission #680839

# Submission time Handle Problem Language Result Execution time Memory
680839 2023-01-11T21:16:42 Z tvladm2009 Capital City (JOI20_capital_city) C++14
100 / 100
 602 ms 42156 KB 
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

const int N = (int) 2e5 + 7;
const int INF = (int) 1e9;
int c[N], timestamp[N], added[N], p[N], subarb[N];
vector<int> g[N], colors[N];
bool visited[N];

void getsize(int u, int par = 0)
{
  subarb[u] = 1;
  for (auto it : g[u])
  {
    if (visited[it] == false && it != par)
    {
      getsize(it, u);
      subarb[u] += subarb[it];
    }
  }
}

int getcentroid(int u, int total, int par = 0)
{
  for (auto it : g[u])
  {
    if (visited[it] == false && it != par && subarb[it] > total / 2)
    {
      return getcentroid(it, total, u);
    }
  }
  return u;
}

int Time = 0;

void dfs(int u, int par = 0)
{
  p[u] = par;
  timestamp[u] = Time;
  for (auto it : g[u])
  {
    if (visited[it] == false && it != par)
    {
      dfs(it, u);
    }
  }
}

int ret = INF;

void solve(int u)
{
  getsize(u);
  int centroid = getcentroid(u, subarb[u], 0);
  visited[centroid] = 1;
  Time++;
  timestamp[centroid] = Time;
  for (auto it : g[centroid])
  {
    if (visited[it] == false)
    {
      dfs(it, centroid);
    }
  }
  queue<int> q;
  bool ok = 1;
  q.push(c[centroid]);
  added[c[centroid]] = Time;
  int cnt = 1;
  while (!q.empty())
  {
    int color = q.front();
    q.pop();
    for (auto it : colors[color])
    {
      if (timestamp[it] != Time)
      {
        ok = 0;
        break;
      }
      if (it != centroid && added[c[p[it]]] != Time)
      {
        q.push(c[p[it]]);
        added[c[p[it]]] = Time;
        cnt++;
      }
    }
    if (ok == 0)
    {
      break;
    }
  }
  if (ok)
  {
    ret = min(ret, cnt - 1);
  }
  for (auto it : g[centroid])
  {
    if (visited[it] == false)
    {
      solve(it);
    }
  }
}

int main()
{
#ifdef ONPC
    freopen("input.txt", "r", stdin);
#endif // ONPC

#ifndef ONPC
    ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
#endif // ONPC

  int n, k;
  cin >> n >> k;
  for (int i = 1; i < n; i++)
  {
    int a, b;
    cin >> a >> b;
    g[a].push_back(b);
    g[b].push_back(a);
  }
  for (int i = 1; i <= n; i++)
  {
    cin >> c[i];
    colors[c[i]].push_back(i);
  }
  solve(1);
  cout << ret;
  return 0;
}

Subtask #1
1.0 / 1.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9732 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 7 ms 9724 KB Output is correct
4 Correct 5 ms 9728 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 5 ms 9684 KB Output is correct
7 Correct 7 ms 9724 KB Output is correct
8 Correct 7 ms 9724 KB Output is correct
9 Correct 6 ms 9684 KB Output is correct
10 Correct 5 ms 9684 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9732 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 7 ms 9724 KB Output is correct
4 Correct 5 ms 9728 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 5 ms 9684 KB Output is correct
7 Correct 7 ms 9724 KB Output is correct
8 Correct 7 ms 9724 KB Output is correct
9 Correct 6 ms 9684 KB Output is correct
10 Correct 5 ms 9684 KB Output is correct
11 Correct 7 ms 9796 KB Output is correct
12 Correct 6 ms 9868 KB Output is correct
13 Correct 7 ms 9812 KB Output is correct
14 Correct 8 ms 9872 KB Output is correct
15 Correct 7 ms 9856 KB Output is correct
16 Correct 7 ms 9812 KB Output is correct
17 Correct 6 ms 9940 KB Output is correct
18 Correct 6 ms 9872 KB Output is correct
19 Correct 6 ms 9872 KB Output is correct
20 Correct 8 ms 9940 KB Output is correct
21 Correct 6 ms 9916 KB Output is correct
22 Correct 6 ms 10004 KB Output is correct
23 Correct 7 ms 9940 KB Output is correct
24 Correct 6 ms 9940 KB Output is correct
25 Correct 7 ms 9940 KB Output is correct
26 Correct 7 ms 9940 KB Output is correct
27 Correct 7 ms 10004 KB Output is correct
28 Correct 9 ms 9940 KB Output is correct
29 Correct 7 ms 9976 KB Output is correct
30 Correct 7 ms 9868 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 479 ms 41720 KB Output is correct
2 Correct 166 ms 42116 KB Output is correct
3 Correct 438 ms 41332 KB Output is correct
4 Correct 164 ms 42156 KB Output is correct
5 Correct 417 ms 38316 KB Output is correct
6 Correct 183 ms 42152 KB Output is correct
7 Correct 427 ms 38580 KB Output is correct
8 Correct 176 ms 41660 KB Output is correct
9 Correct 465 ms 36720 KB Output is correct
10 Correct 485 ms 34284 KB Output is correct
11 Correct 486 ms 37140 KB Output is correct
12 Correct 494 ms 39784 KB Output is correct
13 Correct 550 ms 33916 KB Output is correct
14 Correct 500 ms 40120 KB Output is correct
15 Correct 531 ms 39708 KB Output is correct
16 Correct 482 ms 34808 KB Output is correct
17 Correct 530 ms 35428 KB Output is correct
18 Correct 542 ms 35588 KB Output is correct
19 Correct 533 ms 38824 KB Output is correct
20 Correct 514 ms 40988 KB Output is correct
21 Correct 6 ms 9684 KB Output is correct

Subtask #4
59.0 / 59.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9732 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 7 ms 9724 KB Output is correct
4 Correct 5 ms 9728 KB Output is correct
5 Correct 5 ms 9684 KB Output is correct
6 Correct 5 ms 9684 KB Output is correct
7 Correct 7 ms 9724 KB Output is correct
8 Correct 7 ms 9724 KB Output is correct
9 Correct 6 ms 9684 KB Output is correct
10 Correct 5 ms 9684 KB Output is correct
11 Correct 7 ms 9796 KB Output is correct
12 Correct 6 ms 9868 KB Output is correct
13 Correct 7 ms 9812 KB Output is correct
14 Correct 8 ms 9872 KB Output is correct
15 Correct 7 ms 9856 KB Output is correct
16 Correct 7 ms 9812 KB Output is correct
17 Correct 6 ms 9940 KB Output is correct
18 Correct 6 ms 9872 KB Output is correct
19 Correct 6 ms 9872 KB Output is correct
20 Correct 8 ms 9940 KB Output is correct
21 Correct 6 ms 9916 KB Output is correct
22 Correct 6 ms 10004 KB Output is correct
23 Correct 7 ms 9940 KB Output is correct
24 Correct 6 ms 9940 KB Output is correct
25 Correct 7 ms 9940 KB Output is correct
26 Correct 7 ms 9940 KB Output is correct
27 Correct 7 ms 10004 KB Output is correct
28 Correct 9 ms 9940 KB Output is correct
29 Correct 7 ms 9976 KB Output is correct
30 Correct 7 ms 9868 KB Output is correct
31 Correct 479 ms 41720 KB Output is correct
32 Correct 166 ms 42116 KB Output is correct
33 Correct 438 ms 41332 KB Output is correct
34 Correct 164 ms 42156 KB Output is correct
35 Correct 417 ms 38316 KB Output is correct
36 Correct 183 ms 42152 KB Output is correct
37 Correct 427 ms 38580 KB Output is correct
38 Correct 176 ms 41660 KB Output is correct
39 Correct 465 ms 36720 KB Output is correct
40 Correct 485 ms 34284 KB Output is correct
41 Correct 486 ms 37140 KB Output is correct
42 Correct 494 ms 39784 KB Output is correct
43 Correct 550 ms 33916 KB Output is correct
44 Correct 500 ms 40120 KB Output is correct
45 Correct 531 ms 39708 KB Output is correct
46 Correct 482 ms 34808 KB Output is correct
47 Correct 530 ms 35428 KB Output is correct
48 Correct 542 ms 35588 KB Output is correct
49 Correct 533 ms 38824 KB Output is correct
50 Correct 514 ms 40988 KB Output is correct
51 Correct 6 ms 9684 KB Output is correct
52 Correct 356 ms 24784 KB Output is correct
53 Correct 421 ms 24656 KB Output is correct
54 Correct 367 ms 24660 KB Output is correct
55 Correct 375 ms 24664 KB Output is correct
56 Correct 459 ms 24660 KB Output is correct
57 Correct 406 ms 24592 KB Output is correct
58 Correct 352 ms 28460 KB Output is correct
59 Correct 444 ms 28896 KB Output is correct
60 Correct 485 ms 28180 KB Output is correct
61 Correct 467 ms 27960 KB Output is correct
62 Correct 168 ms 42076 KB Output is correct
63 Correct 160 ms 42056 KB Output is correct
64 Correct 171 ms 41924 KB Output is correct
65 Correct 186 ms 42016 KB Output is correct
66 Correct 293 ms 33480 KB Output is correct
67 Correct 313 ms 33352 KB Output is correct
68 Correct 352 ms 33464 KB Output is correct
69 Correct 284 ms 33480 KB Output is correct
70 Correct 306 ms 33384 KB Output is correct
71 Correct 317 ms 33296 KB Output is correct
72 Correct 278 ms 33288 KB Output is correct
73 Correct 330 ms 32548 KB Output is correct
74 Correct 268 ms 33492 KB Output is correct
75 Correct 299 ms 33432 KB Output is correct
76 Correct 414 ms 32168 KB Output is correct
77 Correct 452 ms 30308 KB Output is correct
78 Correct 602 ms 35304 KB Output is correct
79 Correct 501 ms 33272 KB Output is correct
80 Correct 513 ms 40508 KB Output is correct
81 Correct 538 ms 36884 KB Output is correct
82 Correct 504 ms 37032 KB Output is correct
83 Correct 530 ms 33740 KB Output is correct
84 Correct 571 ms 39528 KB Output is correct
85 Correct 510 ms 38056 KB Output is correct
86 Correct 470 ms 33228 KB Output is correct
87 Correct 551 ms 35024 KB Output is correct
88 Correct 450 ms 36148 KB Output is correct
89 Correct 482 ms 32136 KB Output is correct
90 Correct 427 ms 31992 KB Output is correct
91 Correct 457 ms 34444 KB Output is correct
92 Correct 425 ms 32956 KB Output is correct
93 Correct 425 ms 32696 KB Output is correct
94 Correct 427 ms 31984 KB Output is correct
95 Correct 399 ms 33572 KB Output is correct
96 Correct 442 ms 32388 KB Output is correct
97 Correct 435 ms 34352 KB Output is correct