static void buildPrefix ( ) {
  boolean prime [ ] = new boolean [ MAX + 1 ] ;
  for ( int i = 0 ;
  i < MAX + 1 ;
  i ++ ) prime [ i ] = true ;
  for ( int p = 2 ;
  p * p <= MAX ;
  p ++ ) {
    if ( prime [ p ] == true ) {
      for ( int i = p * 2 ;
      i <= MAX ;
      i += p ) prime [ i ] = false ;
    }
  }
  prefix [ 0 ] = prefix [ 1 ] = 1 ;
  for ( int p = 2 ;
  p <= MAX ;
  p ++ ) {
    prefix [ p ] = prefix [ p - 1 ] ;
    if ( prime [ p ] ) prefix [ p ] = ( prefix [ p ] * p ) % mod ;
  }
}

static void buildPrefix ( ) { boolean prime [ ] = new boolean [ MAX + 1 ] ; for ( int i = 0 ; i < MAX + 1 ; i ++ ) prime [ i ] = true ; for ( int p = 2 ; p * p <= MAX ; p ++ ) { if ( prime [ p ] == true ) { for ( int i = p * 2 ; i <= MAX ; i += p ) prime [ i ] = false ; } } prefix [ 0 ] = prefix [ 1 ] = 1 ; for ( int p = 2 ; p <= MAX ; p ++ ) { prefix [ p ] = prefix [ p - 1 ] ; if ( prime [ p ] ) prefix [ p ] = ( prefix [ p ] * p ) % mod ; } }
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