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  1. #include <bits/stdc++.h>
  2. using namespace std;
  3.  
  4. const int N = 5005;
  5.  
  6. void maximize (int& a, int b) {
  7.   a = max(a, b);
  8. }
  9.  
  10. int dp[N][N];
  11. int child[N];
  12. vector <int> g[N];
  13. int n;
  14.  
  15. void dfs (int u, int par = -1) {
  16.   child[u] = 1;
  17.   dp[u][0] = 0;
  18.   int tot_dp_child = 0;
  19.  
  20.   for (int v : g[u]) {
  21.     if (v == par) continue;
  22.     dfs(v, u);
  23.     for (int i = child[u]; i >= 0; i--)
  24.       for (int j = child[v]; j >= 0; j--) {
  25.         if (i + j <= n) maximize(dp[u][i + j], dp[u][i] + dp[v][j] + i * j);
  26.       }
  27.     child[u] += child[v];
  28.     int best_v = 0;
  29.     for (int i = 0; i <= child[v]; i++)
  30.       maximize(best_v, dp[v][i] + i);
  31.     tot_dp_child += best_v;
  32.   }
  33.  
  34.   maximize(dp[u][1], tot_dp_child);
  35. }
  36.  
  37. void sol() {
  38.   cin >> n;
  39.   for (int i = 1; i <= n; i++) {
  40.     g[i].clear();
  41.   }
  42.  
  43.   for (int i = 1; i < n; i++) {
  44.     int u, v;
  45.     cin >> u >> v;
  46.     g[u].push_back(v);
  47.     g[v].push_back(u);
  48.   }
  49.  
  50.   for (int i = 1; i <= n; i++)
  51.     for (int j = 0; j <= n; j++)
  52.       dp[i][j] = -1e9;
  53.  
  54.   dfs(1);
  55.  
  56.   int best = 0;
  57.   for (int i = 0; i <= n; i++)
  58.     best = max(best, dp[1][i]);
  59.  
  60.   cout << best << "\n";
  61. }
  62.  
  63. int main() {
  64.   ios_base::sync_with_stdio(0);
  65.   cin.tie(0); cout.tie(0);
  66.  
  67.   int tt;
  68.   cin >> tt;
  69.  
  70.   while (tt--)
  71.     sol();
  72.  
  73.   return 0;
  74. }
  75.  
Success #stdin #stdout 0.01s 5276KB
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https://ideone.com/TBp2P4
language:
C++14 (gcc 8.3)
created:
12 days ago
visibility:
public

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