private static int sternBrocotCount ( int leftN , int leftD , int rightN , int rightD ) {
  int n = leftN + rightN ;
  int d = leftD + rightD ;
  if ( d > 12000 ) return 0 ;
  else return 1 + sternBrocotCount ( leftN , leftD , n , d ) + sternBrocotCount ( n , d , rightN , rightD ) ;
}

private static int sternBrocotCount ( int leftN , int leftD , int rightN , int rightD ) { int n = leftN + rightN ; int d = leftD + rightD ; if ( d > 12000 ) return 0 ; else return 1 + sternBrocotCount ( leftN , leftD , n , d ) + sternBrocotCount ( n , d , rightN , rightD ) ; }
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