/*Author: KawakiMeido*/
#include <bits/stdc++.h>
#define pb push_back
#define endl "\n"
#define ll long long
//#define int long long
#define ld long double
#define all(x) (x).begin(),(x).end()
#define pii pair<int,int>
#define fi first
#define se second
using namespace std;
/*Constants*/
const int N = 1e5+10;
const int INF = 1e9+7;
const long long LLINF = 1e18+3;
/*TestCases*/
int test=1;
void solve();
void TestCases(bool v){
    if (v) cin >> test;
    while(test--) solve();
}
struct Line{
    ll m,n;
    Line(ll _m, ll _n): m(_m), n(_n) {};
    ll operator()(ll x){ return m*x+n;}
    friend ld intersect(Line a, Line b){ return (ld)(b.n-a.n)/(ld)(a.m-b.m);}
};
/*Global Variables*/
int n,m;
stack<Line> tmpline[N];
int dist[N];
ll dp[N];
vector<pii> adj[N];
int s[N],v[N];
deque<Line> dq;
//void AddLine (Line u, int pos){
//    while (dq.size() > 1 && intersect(dq[dq.size()-1],dq[dq.size()-2])>intersect(dq[dq.size()-1],u)){
//        tmpline[pos].push(dq.back());
//        dq.pop_back();
//    }
//    dq.push_back(u);
//}
//
//void DeleteLine(int pos){
//    dq.pop_back();
//    while (!tmpline[pos].empty()){
//        dq.push_back(tmpline[pos].top());
//        tmpline[pos].pop();
//    }
//}
//
//int Query(int x){
//    int ans = 0;
//    int l = 1, r = dq.size()-1;
//    while (l<=r){
//        int mid = (l+r)/2;
//        if (intersect(dq[mid-1],dq[mid])<x){
//            ans = mid;
//            l = mid+1;
//        }
//        else{
//            r = mid-1;
//        }
//    }
//    return ans;
//}
//
//void DFS(int u, int p=0){
//    if (u!=1){
//        int pos = Query(v[u]);
//        dp[u] = v[u]*dq[pos].m + dq[pos].n + s[u] + dist[u]*v[u];
//    }
//    AddLine(Line(-dist[u],dp[u]),u);
//    for (auto in:adj[u]){
//        int v = in.fi;
//        int w = in.se;
//        if (v==p) continue;
//        dist[v] = dist[u] + w;
//        DFS(v,u);
//    }
//    DeleteLine(u);
//}
/*Solution*/
void solve(){
    cin >> n;
    for (int i=1; i<n; i++){
        int u,v,w; cin >> u >> v >> w;
        adj[u].push_back({v,w});
        adj[v].push_back({u,w});
    }
    for (int i=2; i<=n; i++){
        cin >> s[i] >> v[i];
    }
//    DFS(1);
    for (int i=2; i<=n; i++){
        cout << dp[i] << " ";
    }
}
/*Driver Code*/
signed main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    TestCases(0);
    return 0;
}
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