#define _USE_MATH_DEFINES
#include <algorithm>
#include <cstdio>
#include <functional>
#include <iostream>
#include <cfloat>
#include <climits>
#include <cstring>
#include <cmath>
#include <map>
#include <queue>
#include <random>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <time.h>
#include <vector>
using namespace std;

typedef long long ll;
typedef unsigned long long ull;
typedef pair<int, int> i_i;
typedef pair<ll, int> ll_i;
typedef pair<double, int> d_i;
typedef pair<ll, ll> ll_ll;
typedef pair<double, double> d_d;
struct edge { int v; ll w; };

ll MOD = 1000000007;
ll _MOD = 1000000009;
double EPS = 1e-8;
int INF = INT_MAX / 2;

void dfs(int u, int p, vector<vector<int> >& G, vector<int>& a, vector<int>& b) {
	bool leaf = true;
	for (int i = 0; i < G[u].size(); i++) {
		int v = G[u][i];
		if (v == p) continue;
		leaf = false;
		a[v] = a[u] + 1;
		dfs(v, u, G, a, b);
		b[u] = min(b[u], b[v] + 1);
	}
	if (leaf) b[u] = 0;
}

void _dfs(int u, int p, vector<vector<int> >& G, vector<int>& a, vector<int>& b, vector<int>& c) {
	c[u] = min(c[u], min(a[u], b[u]));
	for (int i = 0; i < G[u].size(); i++) {
		int v = G[u][i];
		if (v == p) continue;
		c[v] = c[u] + 1;
		_dfs(v, u, G, a, b, c);
	}
}

int main() {
	int N; cin >> N;
	vector<vector<int> > G(N);
	for (int i = 0; i < N - 1; i++) {
		int x, y; cin >> x >> y;
		x--; y--;
		G[x].push_back(y);
		G[y].push_back(x);
	}
	vector<int> a(N), b(N, INT_MAX), c(N);
	dfs(0, -1, G, a, b);
	_dfs(0, -1, G, a, b, c);
	for (int u = 0; u < N; u++)
		cout << c[u] << endl;
}