public static void main ( String [ ] args ) {
  Scanner scan = new Scanner ( System . in ) ;
  int n = scan . nextInt ( ) ;
  int [ ] hats = new int [ n ] ;
  int [ ] [ ] myArr = new int [ 3 ] [ n ] ;
  int available = 1 ;
  for ( int i = 0 ;
  i < n ;
  i ++ ) {
    int temp = scan . nextInt ( ) ;
    myArr [ 0 ] [ temp ] ++ ;
    hats [ i ] = temp ;
  }
  for ( int i = 0 ;
  i < n ;
  i ++ ) {
    if ( myArr [ 0 ] [ i ] % ( n - i ) != 0 ) {
      System . out . println ( "Impossible" ) ;
      return ;
    }
  }
  for ( int i = 0 ;
  i < n ;
  i ++ ) {
    int hatNum = hats [ i ] ;
    if ( myArr [ 2 ] [ hatNum ] == 0 ) {
      myArr [ 1 ] [ hatNum ] = available ++ ;
    }
    hats [ i ] = myArr [ 1 ] [ hatNum ] ;
    myArr [ 2 ] [ hatNum ] ++ ;
    myArr [ 2 ] [ hatNum ] %= n - hatNum ;
  }
  if ( available > n + 1 ) {
    System . out . println ( "Impossible" ) ;
  }
  System . out . println ( "Possible" ) ;
  for ( int x : hats ) System . out . print ( x + " " ) ;
}

public static void main ( String [ ] args ) { Scanner scan = new Scanner ( System . in ) ; int n = scan . nextInt ( ) ; int [ ] hats = new int [ n ] ; int [ ] [ ] myArr = new int [ 3 ] [ n ] ; int available = 1 ; for ( int i = 0 ; i < n ; i ++ ) { int temp = scan . nextInt ( ) ; myArr [ 0 ] [ temp ] ++ ; hats [ i ] = temp ; } for ( int i = 0 ; i < n ; i ++ ) { if ( myArr [ 0 ] [ i ] % ( n - i ) != 0 ) { System . out . println ( " Impossible " ) ; return ; } } for ( int i = 0 ; i < n ; i ++ ) { int hatNum = hats [ i ] ; if ( myArr [ 2 ] [ hatNum ] == 0 ) { myArr [ 1 ] [ hatNum ] = available ++ ; } hats [ i ] = myArr [ 1 ] [ hatNum ] ; myArr [ 2 ] [ hatNum ] ++ ; myArr [ 2 ] [ hatNum ] %= n - hatNum ; } if ( available > n + 1 ) { System . out . println ( " Impossible " ) ; } System . out . println ( " Possible " ) ; for ( int x : hats ) System . out . print ( x + " ▁ " ) ; }
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