#include<bits/stdc++.h>
using namespace std;
using Int = long long;
template<typename T1,typename T2> inline void chmin(T1 &a,T2 b){if(a>b) a=b;}
template<typename T1,typename T2> inline void chmax(T1 &a,T2 b){if(a<b) a=b;}

//INSERT ABOVE HERE
signed main(){
  int n;
  cin>>n;
  vector<vector<int> > G(n);
  for(int i=1;i<n;i++){
    int x,y;
    cin>>x>>y;
    x--;y--;
    G[x].emplace_back(y);
    G[y].emplace_back(x);
  }
  
  vector<int> dp(n,n);
  queue<int> q;
  for(int i=0;i<n;i++){
    if(!i||G[i].size()==1u){      
      dp[i]=0;
      q.emplace(i);
    }
  }
  
  while(!q.empty()){
    int v=q.front();q.pop();
    for(int u:G[v]){
      if(dp[u]<=dp[v]+1) continue;
      dp[u]=dp[v]+1;
      q.emplace(u);
    }
  }
  
  for(int x:dp) cout<<x<<endl;
  return 0;
}