#pragma GCC optimize("Ofast")
#include<bits/stdc++.h>
#define ll long long
#define N 250010
using namespace std;
inline int read(){
	int x=0,f=1;char c=getchar();
	while(c<48){if(c=='-')f=0;c=getchar();}
	while(c>=48) x=(x<<3)+(x<<1)+(c^48),c=getchar();
	return f?x:-x;
}
int n;
ll res[N],d1[N][20],d2[N][20];
unordered_map<ll,ll> mp;
struct Tree2{
	int rt,fa[N],dep[N];
	vector<int> g[N];
	void dfs(int u){
		for(auto v:g[u]){
			dep[v]=dep[u]+1;fa[v]=u;
			dfs(v);
		}
	}
} T1,T2;
struct Tree1{
	ll d[N];
	int dep[N],fa[N][20],vis[N],dp[N],sz[N],rt,sum;
	vector<pair<int,int> > g[N];
	void init(){
		for(int i=1;i<n;i++){
			int u=read(),v=read(),w=read();
			g[u].push_back({v,w});
			g[v].push_back({u,w});
		}
	}
	void dfs(int u,int f){
		dep[u]=dep[f]+1;fa[u][0]=f;
		for(int i=1;i<20;i++) fa[u][i]=fa[fa[u][i-1]][i-1];
		for(auto i:g[u]){
			int v=i.first,w=i.second;
			if(v==f) continue;
			d[v]=d[u]+w;dfs(v,u);
		}
	}
	int LCA(int x,int y){
		if(dep[x]<dep[y]) swap(x,y);
		for(int i=19;i>=0;i--)
			if(dep[fa[x][i]]>=dep[y]) x=fa[x][i];
		if(x==y) return x;
		for(int i=19;i>=0;i--)
			if(fa[x][i]!=fa[y][i]) x=fa[x][i],y=fa[y][i];
		return fa[x][0];
	}
	ll dist(int u,int v){
		return d[u]+d[v]-2*d[LCA(u,v)];
	}
	void getroot(int u,int fa){
		dp[u]=0;sz[u]=1;
		for(auto i:g[u]){
			int v=i.first,w=i.second;
			if(v==fa||vis[v]) continue;
			getroot(v,u);
			sz[u]+=sz[v];dp[u]=max(dp[u],sz[v]);
		}
		dp[u]=max(dp[u],sum-sz[u]);
		if(dp[u]<dp[rt]) rt=u;
	}
	void solve(int u,bool flg){
		vis[u]=1;
		for(auto i:g[u]){
			int v=i.first,w=i.second;
			if(vis[v]) continue;
			sum=sz[v];rt=0;
			getroot(v,u);
			if(!flg) T1.g[u].push_back(rt);
			else T2.g[u].push_back(rt);
			solve(rt,flg);
		}
	}
	void Solve(bool flg){
		rt=0;dp[0]=sum=n;getroot(1,0);
		if(!flg) T1.rt=rt;
		else T2.rt=rt;
		solve(rt,flg);
	}
} S1,S2;
signed main(){
	n=read();
	S1.init();S2.init();
	S1.dfs(1,0);S2.dfs(1,0);
	S1.Solve(0);S2.Solve(1);
	T1.dfs(T1.rt);T2.dfs(T2.rt);
	for(int i=1;i<=n;i++){
		for(int u=i;u;u=T1.fa[u]) d1[i][T1.dep[u]]=S1.dist(i,u);
		for(int u=i;u;u=T2.fa[u]) d2[i][T2.dep[u]]=S2.dist(i,u);
	}
	memset(res,63,sizeof(res));
	for(int i=1;i<=n;i++){
		for(int u=i;u;u=T1.fa[u])
			for(int v=i;v;v=T2.fa[v]){
				ll hsh=1ll*u*N+v,dist=d1[i][T1.dep[u]]+d2[i][T2.dep[v]];
				if(!mp.count(hsh)) mp[hsh]=dist;
				else{
					ll tmp=mp[hsh];
					res[i]=min(res[i],dist+tmp);
					mp[hsh]=min(tmp,dist);
				}
			}
	}
	mp.clear();
	for(int i=n;i;i--){
		for(int u=i;u;u=T1.fa[u])
			for(int v=i;v;v=T2.fa[v]){
				ll hsh=1ll*u*N+v,dist=d1[i][T1.dep[u]]+d2[i][T2.dep[v]];
				if(!mp.count(hsh)) mp[hsh]=dist;
				else{
					ll tmp=mp[hsh];
					res[i]=min(res[i],dist+tmp);
					mp[hsh]=min(tmp,dist);
				}
			}
	}
	for(int i=1;i<=n;i++) printf("%lld\n",res[i]);
	return 0;
}