#include <iostream>
#include <list>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <utility>
#include <vector>

#define REP(i,s,n) for(int i=(int)(s);i<(int)(n);i++)

using namespace std;
typedef long long int ll;
typedef vector<int> VI;
typedef pair<int, int> PI;
const double EPS=1e-9;

const int N = 100100;

VI edges[N];

int rd[N], ld[N];


void dfs(int v, int par = -1) {
  if (par == -1) {
    rd[v] = 0;
  } else {
    rd[v] = rd[par] + 1;
  }
  int mi = N * 2;
  REP(i, 0, edges[v].size()) {
    int w = edges[v][i];
    if (w == par) { continue; }
    dfs(w, v);
    mi = min(mi, ld[w] + 1);
  }
  if (mi == N * 2) {
    mi = 0;
  }
  ld[v] = mi;
}

int main(void){
  int n;
  cin >> n;
  REP(i, 0, n - 1) {
    int x, y;
    cin >> x >> y;
    x--, y--;
    edges[x].push_back(y);
    edges[y].push_back(x);
  }
  REP(i, 0, n) {
    rd[i] = -1;
  }
  dfs(0);
  REP(i, 0, n) {
    cout << min(rd[i], ld[i]) << endl;
  }
}