public static void main ( String [ ] args ) throws IOException {
  BufferedReader br = new BufferedReader ( new InputStreamReader ( System . in ) ) ;
  int n = Integer . parseInt ( br . readLine ( ) ) ;
  String [ ] input = br . readLine ( ) . split ( " " ) ;
  int [ ] peopleWearingSame = new int [ n ] ;
  int [ ] freq = new int [ n + 1 ] ;
  int [ ] answer = new int [ n ] ;
  int counter = 1 ;
  for ( int i = 0 ;
  i < n ;
  i ++ ) {
    peopleWearingSame [ i ] = n - Integer . parseInt ( input [ i ] ) ;
    freq [ peopleWearingSame [ i ] ] ++ ;
    if ( peopleWearingSame [ i ] == 1 ) {
      answer [ i ] = counter ;
      counter ++ ;
    }
  }
  for ( int i = 2 ;
  i <= n ;
  i ++ ) {
    if ( freq [ i ] % i != 0 ) {
      System . out . println ( "Impossible" ) ;
      System . exit ( 0 ) ;
    }
    else {
      if ( freq [ i ] != 0 ) {
        int counter2 = 0 ;
        for ( int j = 0 ;
        j < n ;
        j ++ ) {
          if ( peopleWearingSame [ j ] == i ) {
            counter2 ++ ;
            answer [ j ] = counter ;
            if ( counter2 == i ) {
              counter ++ ;
              counter2 = 0 ;
            }
          }
        }
      }
    }
  }
  System . out . println ( "Possible" ) ;
  for ( int i = 0 ;
  i < n ;
  i ++ ) {
    System . out . print ( answer [ i ] + " " ) ;
  }
  System . out . println ( ) ;
}

public static void main ( String [ ] args ) throws IOException { BufferedReader br = new BufferedReader ( new InputStreamReader ( System . in ) ) ; int n = Integer . parseInt ( br . readLine ( ) ) ; String [ ] input = br . readLine ( ) . split ( " ▁ " ) ; int [ ] peopleWearingSame = new int [ n ] ; int [ ] freq = new int [ n + 1 ] ; int [ ] answer = new int [ n ] ; int counter = 1 ; for ( int i = 0 ; i < n ; i ++ ) { peopleWearingSame [ i ] = n - Integer . parseInt ( input [ i ] ) ; freq [ peopleWearingSame [ i ] ] ++ ; if ( peopleWearingSame [ i ] == 1 ) { answer [ i ] = counter ; counter ++ ; } } for ( int i = 2 ; i <= n ; i ++ ) { if ( freq [ i ] % i != 0 ) { System . out . println ( " Impossible " ) ; System . exit ( 0 ) ; } else { if ( freq [ i ] != 0 ) { int counter2 = 0 ; for ( int j = 0 ; j < n ; j ++ ) { if ( peopleWearingSame [ j ] == i ) { counter2 ++ ; answer [ j ] = counter ; if ( counter2 == i ) { counter ++ ; counter2 = 0 ; } } } } } } System . out . println ( " Possible " ) ; for ( int i = 0 ; i < n ; i ++ ) { System . out . print ( answer [ i ] + " ▁ " ) ; } System . out . println ( ) ; }
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