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  1. #include <bits/stdc++.h>
  2. using namespace std;
  3.  
  4. #define int long long
  5.  
  6. const int N = 5007;
  7. const int inf = 1e16;
  8.  
  9. int n, dp[N][N][2];
  10. vector<pair<int, int>> adj[N];
  11.  
  12. void dfs (int u, int p){
  13.     dp[u][1][0] = dp[u][1][1] = 0;
  14.     for (pair<int, int> pr : adj[u]){
  15.         int v = pr.first, w = pr.second;
  16.         if (v != p)
  17.             dfs(v, u);
  18.     }
  19.     for (pair<int, int> pr : adj[u]){
  20.         int v = pr.first, w = pr.second;
  21.         if (v != p){
  22.             for (int i = n; i >= 2; --i)
  23.                 for (int j = 1; j < i; ++j){
  24.                     dp[u][i][0] = min(dp[u][i][0], dp[u][i - j][0] + (dp[v][j][0] + w) * 2);
  25.                     dp[u][i][1] = min(dp[u][i][1], dp[u][i - j][1] + (dp[v][j][0] + w) * 2);
  26.                     dp[u][i][1] = min(dp[u][i][1], dp[u][i - j][0] + dp[v][j][1] + w);
  27.                 }
  28.         }
  29.     }
  30. }
  31.  
  32. int32_t main (){
  33.     ios::sync_with_stdio(false); cin.tie(nullptr);
  34.     freopen("migration.inp", "r", stdin);
  35.     freopen("migration.out", "w", stdout);
  36.     cin >> n;
  37.     for (int i = 1; i <= n; ++i)
  38.         for (int j = 1; j <= n; ++j){
  39.             dp[i][j][0] = inf;
  40.             dp[i][j][1] = inf;
  41.         }
  42.     for (int i = 1; i < n; ++i){
  43.         int u, v, w; cin >> u >> v >> w;
  44.         adj[u].push_back({v, w});
  45.         adj[v].push_back({u, w});
  46.     }
  47.     dfs(1, 0);
  48.     for (int i = 1; i <= n; ++i)
  49.         cout << dp[1][i][1] << "\n";
  50. }
  51.  
Success #stdin #stdout 0.01s 5276KB
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https://ideone.com/Dz0dYV
language:
C++14 (gcc 8.3)
created:
4 hours ago
visibility:
secret

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