Problem Statement 
 There is a number of people in a room, and each of them wears a hat which is either black or white.
Every person counts the number of other people wearing white hats. You are given a int[] count, the ith element of which is the number counted by the ith person. Return the total number of people wearing white hats, or 1 if count doesn't correspond to a valid situation.


Definition 
 Class:  WhiteHats  Method:  whiteNumber  Parameters:  int[]  Returns:  int  Method signature:  int whiteNumber(int[] count)  (be sure your method is public) 




Constraints 
  count will contain between 2 and 50 elements, inclusive. 
  Each element of count will be between 0 and 50, inclusive. 

Examples 
0)  
  Returns: 2  The first person wears a black hat and sees two people wearing white hats. Each person wearing a white hat sees only one other white hat in the room. 


1)  
  Returns: 3  Everyone wears a white hat here. 


2)  
 
3)  
 
4)  
  Returns: 1  Now that's interesting. There are only two people in the room, yet each of them counted 10 others. 

