제출 #973507

#제출 시각아이디문제언어결과실행 시간메모리
973507duckindogHarbingers (CEOI09_harbingers)C++17
20 / 100
1062 ms11956 KiB
#include <bits/stdc++.h>

using namespace std;

const int N = 100'000 + 10;
int n;
vector<pair<int, int>> ad[N];
int s[N], velocity[N];

int par[N], d[N];
long long dp[N];
void dfs(int u, int p = -1) { 
  auto& ret = dp[u];
  { 
    int x = u;
    while (x) {
      ret = min(ret, dp[x] + (d[u] - d[x]) * velocity[u] + s[u]);
      x = par[x];
    }
  }

  for (const auto& [v, w] : ad[u]) { 
    if (v == p) continue;
    d[v] = d[u] + w;
    par[v] = u;
    dfs(v, u);
  }
}

int32_t main() { 
  cin.tie(0)->sync_with_stdio(0);

  cin >> n;
  for (int i = 2; i <= n; ++i) { 
    int u, v, w; cin >> u >> v >> w;
    ad[u].push_back({v, w});
    ad[v].push_back({u, w});
  }
  for (int i = 2; i <= n; ++i) cin >> s[i] >> velocity[i];
  
  memset(dp, 40, sizeof dp);
  dp[1] = 0;
  dfs(1);

  for (int i = 2; i <= n; ++i) cout << dp[i] << " \n"[i == n];
}
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