Submission #688519

# Submission time Handle Problem Language Result Execution time Memory
688519 2023-01-27T16:02:34 Z peijar Meetings 2 (JOI21_meetings2) C++17
100 / 100
719 ms 64624 KB
#include <bits/stdc++.h>
#define int long long
using namespace std;

string to_string(string s) { return s; }
template <typename T> string to_string(T v) {
  bool first = true;
  string res = "[";
  for (const auto &x : v) {
    if (!first)
      res += ", ";
    first = false;
    res += to_string(x);
  }
  res += "]";
  return res;
}

void dbg_out() { cout << endl; }
template <typename Head, typename... Tail> void dbg_out(Head H, Tail... T) {
  cout << ' ' << to_string(H);
  dbg_out(T...);
}

#ifdef DEBUG
#define dbg(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif

const int MAXN = 2e5;
const int MAXP = 20;

vector<int> adj[MAXN];
int sz[MAXN], depth[MAXN], par[MAXP][MAXN];

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

void dfs(int u, int p) {
  par[0][u] = p;
  for (int i = 0; i < MAXP - 1; ++i)
    par[i + 1][u] = par[i][par[i][u]];
  sz[u] = 1;
  for (int v : adj[u])
    if (v != p) {
      depth[v] = depth[u] + 1;
      dfs(v, u);
      sz[u] += sz[v];
    }
}

int getLca(int u, int v) {
  if (depth[u] < depth[v])
    swap(u, v);
  int d = depth[u] - depth[v];
  for (int p = 0; p < MAXP; ++p)
    if ((1 << p) & d)
      u = par[p][u];
  if (u == v)
    return u;
  for (int p = MAXP - 1; p >= 0; --p) {
    int s = par[p][u];
    int t = par[p][v];
    if (s != t) {
      u = s;
      v = t;
    }
  }
  return par[0][u];
}

int dis(int u, int v) {
  int lca = getLca(u, v);
  return depth[u] + depth[v] - 2 * depth[lca];
}

signed main(void) {
  ios_base::sync_with_stdio(false);
  cin.tie(0);

  int nbSommet;
  cin >> nbSommet;

  for (int i = 1; i < nbSommet; ++i) {
    int u, v;
    cin >> u >> v;
    --u, --v;
    adj[u].push_back(v);
    adj[v].push_back(u);
  }

  dfsSz(0, 0);

  int centroid = 0;
  int prv = 0;
  while (true) {
    bool found = false;
    for (int v : adj[centroid])
      if (v != prv and 2 * sz[v] >= nbSommet) {
        prv = centroid;
        centroid = v;
        found = true;
        break;
      }
    if (!found)
      break;
  }

  dfs(centroid, centroid);
  vector<vector<int>> withSz(nbSommet);
  for (int u = 0; u < nbSommet; ++u)
    if (u != centroid)
      withSz[sz[u]].push_back(u);

  vector<int> sol(nbSommet / 2 + 1);
  int s = centroid, t = centroid;
  int diameter = 0;
  for (int d = nbSommet / 2; d >= 1; --d) {
    for (int u : withSz[d]) {
      int ds = dis(s, u), dt = dis(t, u);
      if (ds > diameter)
        t = u, diameter = ds;
      else if (dt > diameter)
        s = u, diameter = dt;
    }
    sol[d] = diameter + 1;
  }
  for (int d = 1; d <= nbSommet; ++d) {
    if (d % 2)
      cout << 1 << '\n';
    else
      cout << sol[d / 2] << '\n';
  }
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 5076 KB Output is correct
2 Correct 2 ms 5076 KB Output is correct
3 Correct 3 ms 5076 KB Output is correct
4 Correct 2 ms 5076 KB Output is correct
5 Correct 2 ms 5076 KB Output is correct
6 Correct 3 ms 5076 KB Output is correct
7 Correct 3 ms 5076 KB Output is correct
8 Correct 3 ms 5076 KB Output is correct
9 Correct 4 ms 5076 KB Output is correct
10 Correct 3 ms 5076 KB Output is correct
11 Correct 3 ms 5076 KB Output is correct
12 Correct 2 ms 5076 KB Output is correct
13 Correct 3 ms 5176 KB Output is correct
14 Correct 3 ms 5076 KB Output is correct
15 Correct 2 ms 5076 KB Output is correct
16 Correct 2 ms 5076 KB Output is correct
17 Correct 3 ms 5104 KB Output is correct
18 Correct 2 ms 5076 KB Output is correct
19 Correct 2 ms 5076 KB Output is correct
20 Correct 3 ms 5076 KB Output is correct
21 Correct 2 ms 5180 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 5076 KB Output is correct
2 Correct 2 ms 5076 KB Output is correct
3 Correct 3 ms 5076 KB Output is correct
4 Correct 2 ms 5076 KB Output is correct
5 Correct 2 ms 5076 KB Output is correct
6 Correct 3 ms 5076 KB Output is correct
7 Correct 3 ms 5076 KB Output is correct
8 Correct 3 ms 5076 KB Output is correct
9 Correct 4 ms 5076 KB Output is correct
10 Correct 3 ms 5076 KB Output is correct
11 Correct 3 ms 5076 KB Output is correct
12 Correct 2 ms 5076 KB Output is correct
13 Correct 3 ms 5176 KB Output is correct
14 Correct 3 ms 5076 KB Output is correct
15 Correct 2 ms 5076 KB Output is correct
16 Correct 2 ms 5076 KB Output is correct
17 Correct 3 ms 5104 KB Output is correct
18 Correct 2 ms 5076 KB Output is correct
19 Correct 2 ms 5076 KB Output is correct
20 Correct 3 ms 5076 KB Output is correct
21 Correct 2 ms 5180 KB Output is correct
22 Correct 7 ms 6216 KB Output is correct
23 Correct 6 ms 6100 KB Output is correct
24 Correct 6 ms 6188 KB Output is correct
25 Correct 5 ms 6124 KB Output is correct
26 Correct 6 ms 6212 KB Output is correct
27 Correct 7 ms 6228 KB Output is correct
28 Correct 6 ms 6104 KB Output is correct
29 Correct 6 ms 6188 KB Output is correct
30 Correct 7 ms 6228 KB Output is correct
31 Correct 6 ms 6100 KB Output is correct
32 Correct 6 ms 6316 KB Output is correct
33 Correct 6 ms 6356 KB Output is correct
34 Correct 5 ms 6100 KB Output is correct
35 Correct 5 ms 6192 KB Output is correct
36 Correct 7 ms 6184 KB Output is correct
37 Correct 6 ms 6188 KB Output is correct
38 Correct 5 ms 6228 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 5076 KB Output is correct
2 Correct 2 ms 5076 KB Output is correct
3 Correct 3 ms 5076 KB Output is correct
4 Correct 2 ms 5076 KB Output is correct
5 Correct 2 ms 5076 KB Output is correct
6 Correct 3 ms 5076 KB Output is correct
7 Correct 3 ms 5076 KB Output is correct
8 Correct 3 ms 5076 KB Output is correct
9 Correct 4 ms 5076 KB Output is correct
10 Correct 3 ms 5076 KB Output is correct
11 Correct 3 ms 5076 KB Output is correct
12 Correct 2 ms 5076 KB Output is correct
13 Correct 3 ms 5176 KB Output is correct
14 Correct 3 ms 5076 KB Output is correct
15 Correct 2 ms 5076 KB Output is correct
16 Correct 2 ms 5076 KB Output is correct
17 Correct 3 ms 5104 KB Output is correct
18 Correct 2 ms 5076 KB Output is correct
19 Correct 2 ms 5076 KB Output is correct
20 Correct 3 ms 5076 KB Output is correct
21 Correct 2 ms 5180 KB Output is correct
22 Correct 7 ms 6216 KB Output is correct
23 Correct 6 ms 6100 KB Output is correct
24 Correct 6 ms 6188 KB Output is correct
25 Correct 5 ms 6124 KB Output is correct
26 Correct 6 ms 6212 KB Output is correct
27 Correct 7 ms 6228 KB Output is correct
28 Correct 6 ms 6104 KB Output is correct
29 Correct 6 ms 6188 KB Output is correct
30 Correct 7 ms 6228 KB Output is correct
31 Correct 6 ms 6100 KB Output is correct
32 Correct 6 ms 6316 KB Output is correct
33 Correct 6 ms 6356 KB Output is correct
34 Correct 5 ms 6100 KB Output is correct
35 Correct 5 ms 6192 KB Output is correct
36 Correct 7 ms 6184 KB Output is correct
37 Correct 6 ms 6188 KB Output is correct
38 Correct 5 ms 6228 KB Output is correct
39 Correct 362 ms 56428 KB Output is correct
40 Correct 347 ms 55116 KB Output is correct
41 Correct 358 ms 56604 KB Output is correct
42 Correct 369 ms 57336 KB Output is correct
43 Correct 375 ms 57280 KB Output is correct
44 Correct 352 ms 57380 KB Output is correct
45 Correct 719 ms 62316 KB Output is correct
46 Correct 391 ms 64624 KB Output is correct
47 Correct 244 ms 57492 KB Output is correct
48 Correct 171 ms 57416 KB Output is correct
49 Correct 483 ms 57664 KB Output is correct
50 Correct 191 ms 57220 KB Output is correct
51 Correct 263 ms 63800 KB Output is correct