using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace ProgrammingContest
{
    class MainClass
    {
        Scanner sc;
        static void Main(string[] args)
        {
            new MainClass().Solve();
        }

        struct Point
        {
            public double x, y;
        }

        const bool DEBUG = false;   // TODO: must check!!
        void Solve()
        {
            if (DEBUG)
            {
                string backPath = "..";
                char dirSep = System.IO.Path.DirectorySeparatorChar;
                string inFilePath = backPath + dirSep + backPath + dirSep + "in.txt";
                sc = new Scanner(new System.IO.StreamReader(inFilePath));
            }
            else
            {
                sc = new Scanner();
            }
            int N = sc.NextInt;
            G = new List<int>[N].Select(lst => new List<int>()).ToArray();
            ans = new int[N].Select(el => INF).ToArray();
            for (int i = 0; i < N - 1; i++)
            {
                int a = sc.NextInt - 1;
                int b = sc.NextInt - 1;
                G[a].Add(b);
                G[b].Add(a);
            }
            dfs(0, -1, 0);
            for (int i = 1; i < N; i++)
            {
                if (G[i].Count <= 1)
                {
                    dfs(i, -1, 0);
                }
            }
            Console.WriteLine(String.Join("\n", Array.ConvertAll(ans, el => el.ToString())));
        }
        void dfs(int now, int prev, int cost)
        {
            ans[now] = Math.Min(ans[now], cost);
            foreach (int el in G[now])
            {
                if (el != prev)
                {
                    if (cost + 1 < ans[el])
                    {
                        dfs(el, now, cost + 1);
                    }
                }
            }
        }
        List<int>[] G;
        const int INF = (int)1e9;
        int[] ans;
    }
    class Scanner
    {
        Queue<String> buffer;
        char[] sep;
        System.IO.TextReader reader;
        public Scanner(System.IO.TextReader reader = null)
        {
            this.buffer = new Queue<string>();
            this.sep = new char[] { ' ' };
            this.reader = (reader ?? Console.In);
        }
        private void CheckBuffer()
        {
            if (this.buffer.Count == 0)
            {
                String[] sreArray = this.reader.ReadLine().Split(this.sep);
                foreach (String elStr in sreArray)
                {
                    this.buffer.Enqueue(elStr);
                }
            }
        }

        public String Next
        {
            get
            {
                this.CheckBuffer();
                return this.buffer.Dequeue();
            }
        }

        public int NextInt
        {
            get
            {
                return int.Parse(this.Next);
            }
        }
        public double NextDouble
        {
            get
            {
                return double.Parse(this.Next);
            }
        }

        public long NextLong
        {
            get
            {
                return long.Parse(this.Next);
            }
        }
        public bool IsEmpty
        {
            get
            {
                this.CheckBuffer();
                return this.buffer.Count == 0;
            }
        }
    }
}