using System;
using System.IO;
using System.Linq;
using System.Text;
using System.Collections.Generic;
using System.Diagnostics;
using System.Numerics;
using Enu = System.Linq.Enumerable;

class Program
{
    List<int>[] G;
    List<int> Leaf = new List<int>();

    public void Solve()
    {
        int N = Reader.Int();
        G = Enu.Range(0, N).Select(i => new List<int>()).ToArray();
        for (int i = 0; i < N - 1; i++)
        {
            int a = Reader.Int() - 1, b = Reader.Int() - 1;
            G[a].Add(b);
            G[b].Add(a);
        }
        DFS(0, -1);
        int[] minDist = Enu.Repeat(N, N).ToArray();
        var que = new Queue<int>();
        que.Enqueue(0);
        minDist[0] = 0;
        foreach (var v in Leaf)
        {
            que.Enqueue(v);
            minDist[v] = 0;
        }
        while (que.Count > 0)
        {
            int at = que.Dequeue();
            foreach (int next in G[at])
                if (minDist[next] == N)
                {
                    minDist[next] = minDist[at] + 1;
                    que.Enqueue(next);
                }
        }
        for (int i = 0; i < N; i++)
            Console.WriteLine(minDist[i]);
    }

    private void DFS(int at, int prev)
    {
        bool any = false;
        foreach (int child in G[at])
            if (child != prev)
            {
                any = true;
                DFS(child, at);
            }
        if (!any) Leaf.Add(at);
    }

}


class Entry { static void Main() { new Program().Solve(); } }
class Reader
{
    private static TextReader reader = Console.In;
    private static readonly char[] separator = { ' ' };
    private static readonly StringSplitOptions op = StringSplitOptions.RemoveEmptyEntries;
    private static string[] A = new string[0];
    private static int i;
    private static void Init() { A = new string[0]; }
    public static void Set(TextReader r) { reader = r; Init(); }
    public static void Set(string file) { reader = new StreamReader(file); Init(); }
    public static bool HasNext() { return CheckNext(); }
    public static string String() { return Next(); }
    public static int Int() { return int.Parse(Next()); }
    public static long Long() { return long.Parse(Next()); }
    public static double Double() { return double.Parse(Next()); }
    public static int[] IntLine() { return Array.ConvertAll(Split(Line()), int.Parse); }
    public static int[] IntArray(int N) { return Enu.Range(0, N).Select(i => Int()).ToArray(); }
    public static int[][] IntTable(int H) { return Enu.Range(0, H).Select(i => IntLine()).ToArray(); }
    public static string[] StringArray(int N) { return Enu.Range(0, N).Select(i => Next()).ToArray(); }
    public static string Line() { return reader.ReadLine().Trim(); }
    private static string[] Split(string s) { return s.Split(separator, op); }
    private static string Next() { CheckNext(); return A[i++]; }
    private static bool CheckNext()
    {
        if (i < A.Length) return true;
        string line = reader.ReadLine();
        if (line == null) return false;
        if (line == "") return CheckNext();
        A = Split(line);
        i = 0;
        return true;
    }
}