#include <iostream>
#include <iomanip>
#include <sstream>
#include <vector>
#include <string>
#include <set>
#include <unordered_set>
#include <map>
#include <unordered_map>
#include <stack>
#include <queue>
#include <deque>
#include <algorithm>
#include <functional>
#include <iterator>
#include <limits>
#include <numeric>
#include <utility>
#include <cmath>
#include <cassert>
#include <cstdio>

using namespace std; using namespace placeholders;

using LL = long long;
using ULL = unsigned long long;
using VI = vector< int >;
using VVI = vector< vector< int > >;
using VS = vector< string >;
using SS = stringstream;
using PII = pair< int, int >;
using VPII = vector< pair< int, int > >;
template < typename T = int > using VT = vector< T >;
template < typename T = int > using VVT = vector< vector< T > >;
template < typename T = int > using LIM = numeric_limits< T >;

template < typename T > inline istream& operator>>( istream &s, vector< T > &v ){ for ( T &t : v ) { s >> t; } return s; }
template < typename T > inline ostream& operator<<( ostream &s, const vector< T > &v ){ for ( int i = 0; i < int( v.size() ); ++i ){ s << ( " " + !i ) << v[i]; } return s; }
template < typename T > inline T fromString( const string &s ) { T res; istringstream iss( s ); iss >> res; return res; };
template < typename T > inline string toString( const T &a ) { ostringstream oss; oss << a; return oss.str(); };

#define REP2( i, n ) REP3( i, 0, n )
#define REP3( i, m, n ) for ( int i = ( int )( m ); i < ( int )( n ); ++i )
#define GET_REP( a, b, c, F, ... ) F
#define REP( ... ) GET_REP( __VA_ARGS__, REP3, REP2 )( __VA_ARGS__ )
#define FOR( e, c ) for ( auto &e : c )
#define ALL( c ) ( c ).begin(), ( c ).end()
#define AALL( a, t ) ( t* )a, ( t* )a + sizeof( a ) / sizeof( t )
#define DRANGE( c, p ) ( c ).begin(), ( c ).begin() + ( p ), ( c ).end()

#define SZ( v ) ( (int)( v ).size() )
#define PB push_back
#define EM emplace
#define EB emplace_back
#define BI back_inserter

#define EXIST( c, e ) ( ( c ).find( e ) != ( c ).end() )

#define MP make_pair
#define fst first
#define snd second

#define DUMP( x ) cerr << #x << " = " << ( x ) << endl

VI bfs( const VVI &G, const VI &starts )
{
	const int N = SZ( G );

	VI distances( N, N );
	queue< int > que;
	FOR( v, starts )
	{
		distances[v] = 0;
		que.push( v );
	}

	while ( !que.empty() )
	{
		const int u = que.front();
		que.pop();

		FOR( v, G[u] )
		{
			if ( distances[u] + 1 < distances[v] )
			{
				distances[v] = distances[u] + 1;
				que.push( v );
			}
		}
	}

	return distances;
}

int main()
{
	cin.tie( 0 );
	ios::sync_with_stdio( false );

	int N;
	cin >> N;

	VVI G( N );
	REP( i, N - 1 )
	{
		int a, b;
		cin >> a >> b;
		--a, --b;

		G[a].PB( b );
		G[b].PB( a );
	}

	VI leaves;
	REP( i, N )
	{
		if ( SZ( G[i] ) == 1 )
		{
			leaves.PB( i );
		}
	}

	const VI from_root = bfs( G, { 0 } );
	const VI from_leaves = bfs( G, leaves );

	VI res;
	transform( ALL( from_root ), begin( from_leaves ), BI( res ), []( const int a, const int b ){ return min( a, b ); } );

	copy( ALL( res ), ostream_iterator< int >( cout , "\n" ) );
	cout << flush;

	return 0;
}