#include <cstdio>
#include <iostream>
#include <string>
#include <sstream>
#include <stack>
#include <algorithm>
#include <cmath>
#include <queue>
#include <map>
#include <set>
#include <cstdlib>
#include <bitset>
#include <tuple>
#include <assert.h>
#include <deque>
#include <bitset>
#include <iomanip>
#include <limits>
#include <chrono>
#include <random>
#include <array>
#include <unordered_map>
#include <functional>
#include <complex>
#include <numeric>
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }
//constexpr long long MAX = 5100000;
constexpr long long INF = 1LL << 60;
constexpr int inf = 1000000007;
constexpr long long mod = 1000000007LL;
//constexpr long long mod = 998244353LL;
const long double PI = acos((long double)(-1));

using namespace std;
typedef unsigned long long ull;
typedef long long ll;
typedef long double ld;

int n;
vector<vector<int>> g;
vector<int> dep;
vector<int> dp;


void treedep(int cur, int pre) {
    if (pre == -1) dep[cur] = 0;
    else dep[cur] = dep[pre] + 1;
    for (auto nxt : g[cur]) {
        if (nxt == pre) continue;
        treedep(nxt, cur);
    }
}

void dfs(int cur, int pre) {
    dp[cur] = inf;
    for (auto nxt : g[cur]) {
        if (nxt == pre) continue;
        dfs(nxt, cur);
        chmin(dp[cur], dp[nxt] + 1);
    }
    if (dp[cur] == inf) dp[cur] = 0;
}
int main()
{
    /*
    cin.tie(nullptr);
    ios::sync_with_stdio(false);
    */
    scanf("%d", &n);
    g.resize(n); dep.resize(n); dp.resize(n);
    for (int i = 0; i < n - 1; i++) {
        int u, v; scanf("%d %d", &u, &v);
        u--; v--;
        g[u].emplace_back(v);
        g[v].emplace_back(u);
    }
    treedep(0, -1);
    dfs(0, -1);
    for (int i = 0; i < n; i++) {
        printf("%d\n", min(dep[i], dp[i]));
    }
    return 0;
}