public static void main ( String [ ] args ) {
  Scanner sc = new Scanner ( System . in ) ;
  N = sc . nextInt ( ) ;
  list = new ArrayList [ N ] ;
  dp = new int [ N ] ;
  for ( int i = 0 ;
  i < N ;
  i ++ ) {
    list [ i ] = new ArrayList < Integer > ( ) ;
  }
  for ( int i = 1 ;
  i < N ;
  i ++ ) {
    int x = sc . nextInt ( ) ;
    list [ x ] . add ( i ) ;
  }
  dfs ( 0 ) ;
  StringBuilder sb = new StringBuilder ( ) ;
  for ( int i = 0 ;
  i < N ;
  i ++ ) {
    int ans = N - dp [ i ] ;
    for ( int item : list [ i ] ) {
      ans = Math . max ( ans , dp [ item ] ) ;
    }
    sb . append ( ans + "\n" ) ;
  }
  System . out . print ( sb ) ;
}

public static void main ( String [ ] args ) { Scanner sc = new Scanner ( System . in ) ; N = sc . nextInt ( ) ; list = new ArrayList [ N ] ; dp = new int [ N ] ; for ( int i = 0 ; i < N ; i ++ ) { list [ i ] = new ArrayList < Integer > ( ) ; } for ( int i = 1 ; i < N ; i ++ ) { int x = sc . nextInt ( ) ; list [ x ] . add ( i ) ; } dfs ( 0 ) ; StringBuilder sb = new StringBuilder ( ) ; for ( int i = 0 ; i < N ; i ++ ) { int ans = N - dp [ i ] ; for ( int item : list [ i ] ) { ans = Math . max ( ans , dp [ item ] ) ; } sb . append ( ans + " \n " ) ; } System . out . print ( sb ) ; }
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