#include <bits/stdc++.h>

#define rep(i,n) for(int i=0;i<(n);i++)

using namespace std;

using graph=vector<vector<int>>;

void add_undirected_edge(graph& G,int u,int v){
	G[u].emplace_back(v);
	G[v].emplace_back(u);
}

const int INF=1<<29;

graph T;
int dep[100000],res[100000];

void dfs(int u,int p){
	res[u]=(p!=-1&&T[u].size()==1?0:INF);
	for(int v:T[u]) if(v!=p) {
		dep[v]=dep[u]+1;
		dfs(v,u);
		res[u]=min(res[u],res[v]+1);
	}
}

int main(){
	int n; scanf("%d",&n);
	T.resize(n);
	rep(i,n-1){
		int u,v; scanf("%d%d",&u,&v); u--; v--;
		add_undirected_edge(T,u,v);
	}

	dfs(0,-1);

	rep(u,n) printf("%d\n",min(dep[u],res[u]));

	return 0;
}