static int maxPrimefactorNum ( int N ) {
  if ( N < 2 ) return 0 ;
  boolean [ ] arr = new boolean [ N + 1 ] ;
  int prod = 1 , res = 0 ;
  for ( int p = 2 ;
  p * p <= N ;
  p ++ ) {
    if ( arr [ p ] == false ) {
      for ( int i = p * 2 ;
      i <= N ;
      i += p ) arr [ i ] = true ;
      prod *= p ;
      if ( prod > N ) return res ;
      res ++ ;
    }
  }
  return res ;
}

static int maxPrimefactorNum ( int N ) { if ( N < 2 ) return 0 ; boolean [ ] arr = new boolean [ N + 1 ] ; int prod = 1 , res = 0 ; for ( int p = 2 ; p * p <= N ; p ++ ) { if ( arr [ p ] == false ) { for ( int i = p * 2 ; i <= N ; i += p ) arr [ i ] = true ; prod *= p ; if ( prod > N ) return res ; res ++ ; } } return res ; }
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