#include <iostream>
#include <vector>
#include <cstdio>
using namespace std;
vector<int> edge[100001];
int dist[100001];

void update(int cur, int par, int d){
   if( dist[cur] <= d ) return;
   dist[cur]=d;
   for( int ei=0; ei < (int) edge[cur].size(); ei++){
      int nxt = edge[cur][ei];
      if( nxt==par ) continue;
      update(nxt, cur, d+1);
   }

}

int rec(int cur, int par, int d){
   dist[cur]=d;
   int tmpdist = 100001;
   for( int ei=0; ei < (int) edge[cur].size(); ei++){
      int nxt = edge[cur][ei];
      if( nxt==par ) continue;
      tmpdist = min(tmpdist,rec(nxt, cur, d+1));
   }
   if(tmpdist==100001) tmpdist=0;
   if(tmpdist < d ){
      for( int ei=0; ei < (int) edge[cur].size(); ei++){
         int nxt = edge[cur][ei];
         if( nxt==par ) continue;
         update(nxt, cur, tmpdist+1);
      }
   }
   dist[cur]=min(dist[cur],tmpdist);
   return tmpdist+1;
}

int main(){
   int N;
   scanf("%d",&N);
   for( int i = 0 ; i < N-1; i++ ){
      int a,b;
      scanf("%d%d",&a,&b);
      a--;b--;
      edge[a].push_back(b);
      edge[b].push_back(a);
   }
   for( int i=0;i<100001; i++) dist[i]=100001;
   rec(0,0,0);
   for( int i=0; i <N; i++ ) printf("%d\n",dist[i]);
   return 0;
}