#include "bits/stdc++.h"

using namespace std;

typedef long long ll;
typedef unsigned long long ull;
typedef vector<int> veci;
typedef vector<ll> vecll;
typedef vector<string> vecs;
template<class T,class U> using Hash=unordered_map<T,U>;

#define REP(i, a, n) for(ll i = a; i < (ll)n; i++)
#define RREP(i, a, n) for(ll i = n-1; i >= a; i--)
#define rep(i, n) REP(i, 0, n)
#define rrep(i, n) RREP(i, 0, n)
#define MD 1000000007
#define _SPLIT " "

template<class T> T read(){T a;cin >> a;return a;}
template<class T> void read(T& a){cin >> a;}
template<class T,class ...Args> void read(T& a, Args&... args){cin >> a; read(args...);} 
template<class T> void rarr(T a, int n){for(int i = 0; i < n; i++) {cin >> a[i];}}
template<class T> void write(T a){cout << setprecision(22) << a << endl;}
template<class T,class ...Args> void write(T a, Args... args){cout << setprecision(22) << a << _SPLIT; write(args...);}
template<class T> void warr(vector<T> a, const char* c = " "){cout << a[0];for(int i = 1; i < (int)a.size(); i++)cout << c << a[i];cout << endl;;}
template<class T> void warr(T a, int n, const char* c = " "){cout << a[0];for(int i = 1; i < n; i++)cout << c << a[i];cout << endl;}
void split(string s, string delim, veci& result){result.clear();string::size_type pos = 0;while(pos != string::npos){string::size_type p = s.find(delim, pos);if(p == string::npos){result.push_back(atoi(s.substr(pos).data()));break;}else {result.push_back(atoi(s.substr(pos, p - pos).data()));}pos = p + delim.size();}}
void split(string s, string delim, vecs& result){result.clear();string::size_type pos = 0;while(pos != string::npos){string::size_type p = s.find(delim, pos);if(p == string::npos){result.push_back(s.substr(pos));break;}else {result.push_back(s.substr(pos, p - pos));}pos = p + delim.size();}}
ll gcd(ll a, ll b){while(true){ll k = a % b;if(k == 0)return b;a = b;b = k;}}
ll comb(ll n, ll m){ll p=1;m=min(m,n-m);for(ll i=1;i<=m;i++){p*=n-i+1;p/=i;}return p;}

vector<int> v[100000];
int n,res[100000];

int solve1(int i,int bef,int d){
    if(v[i].size()<=1&&v[i][0]==bef)return res[i]=0;
    res[i]=d;
    for(auto at:v[i]){
        if(at==bef)continue;
        res[i]=min(res[i],solve1(at,i,d+1)+1);
    }
    return res[i];
}

void solve2(int i,int bef,int d){
    res[i]=min(res[i],d);
    for(auto at:v[i]){
        if(at==bef)continue;
        solve2(at,i,res[i]+1);
    }
}

int main(void)
{
    rep(i,100000)res[i]=1e9;
    read(n);
    rep(i,n-1){
        int a,b;
        read(a,b);
        a--;b--;
        v[a].push_back(b);
        v[b].push_back(a);
    }
    solve1(0,-1,0);
    solve2(0,-1,0);
    rep(i,n)write(res[i]);
    return 0;
}