import java.util.*;
import java.io.*;

public class Main {
    static int[] depth;
    static int[] leaves;
    static int[] ans;
    static ArrayList<ArrayList<Integer>> graph = new ArrayList<>();
    public static void main(String[] args) throws Exception {
        Scanner sc = new Scanner();
        int n = sc.nextInt();
        for (int i = 0; i < n; i++) {
            graph.add(new ArrayList<>());
        }
        for (int i = 0; i < n - 1; i++) {
            int a = sc.nextInt() - 1;
            int b = sc.nextInt() - 1;
            graph.get(a).add(b);
            graph.get(b).add(a);
        }
        depth = new int[n];
        leaves = new int[n];
        getLeaves(0, 0, 0);
        ans = new int[n];
        setAns(0, 0, Integer.MAX_VALUE / 2);
        StringBuilder sb = new StringBuilder();
        for (int x : ans) {
            sb.append(x).append("\n");
        }
        System.out.print(sb);
    }
    
    static int getLeaves(int idx, int p, int d) {
        depth[idx] = d;
        leaves[idx] = Integer.MAX_VALUE;
        for (int x : graph.get(idx)) {
            if (x == p) {
                continue;
            }
            leaves[idx] = Math.min(leaves[idx], getLeaves(x, idx, d + 1));
        }
        if (leaves[idx] == Integer.MAX_VALUE) {
            leaves[idx] = 0;
        }
        return leaves[idx] + 1;
    }
    
    static void setAns(int idx, int p, int a) {
        ans[idx] = Math.min(a, Math.min(depth[idx], leaves[idx]));
        for (int x : graph.get(idx)) {
            if (x == p) {
                continue;
            }
            setAns(x, idx, ans[idx] + 1);
        }
    }
}
class Scanner {
    BufferedReader br = new BufferedReader(new InputStreamReader(System.in));
    StringTokenizer st = new StringTokenizer("");
    
    public Scanner() throws Exception {
        
    }
    
    public int nextInt() throws Exception {
        return Integer.parseInt(next());
    }
    
    public long nextLong() throws Exception {
        return Long.parseLong(next());
    }
    
    public double nextDouble() throws Exception {
        return Double.parseDouble(next());
    }
    
    public String nextLine() throws Exception {
        return br.readLine();
    }
    
    public String next() throws Exception {
        if (!st.hasMoreTokens()) {
            st = new StringTokenizer(br.readLine());
        }
        return st.nextToken();
    }
}