Problem Statement  
Santa Claus has n small boxes, all of equal size, containing presents for the children. Each box is a A x A x A cube. Santa wants to pack all of the small boxes into a large rectangular box with dimensions length x width x height. Each small box must be placed inside the big box with its sides parallel to the sides of the big box. Return the maximal possible value of A that will allow Santa Claus to fit all of the small boxes into the big one. Note that A is not necessarily an integer.  
Definition  
 
Notes  
  The returned value must be accurate to within a relative or absolute value of 1E9.  
Constraints  
  n will be between 1 and 1,000,000,000, inclusive.  
  length, width and height will be between 1 and 1,000,000,000, inclusive.  
Examples  
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