Problem Statement   You are going to fill 9 strings into the cells of a 3x3 square. Rows of the square are numbered 0 to 2 from top to bottom, and columns of the square are numbered 0 to 2 from left to right. Let S[i][j] be the string you'll enter into the cell in row i, column j. The strings S[i][j] do not have to be distinct. It is also allowed to use empty strings.
You are given two String[]s rowStrings and columnStrings. For each i, the concatenation of strings in row i must be equal to rowStrings[i]. The same must hold for columns and columnStrings. Formally, the strings in the cells must satisfy the following conditions:
 For all 0<=i<=2, S[i][0]+S[i][1]+S[i][2] = rowStrings[i].
 For all 0<=j<=2, S[0][j]+S[1][j]+S[2][j] = columnStrings[j].
Here, '+' represents a string concatenation.
Return the number of ways in which the strings S[i][j] can be chosen so that all conditions are satisfied.   Definition   Class:  MagicalSquare  Method:  getCount  Parameters:  String[], String[]  Returns:  long  Method signature:  long getCount(String[] rowStrings, String[] columnStrings)  (be sure your method is public) 
    Constraints    rowStrings and columnStrings will each contain exactly 3 elements.    Each element of rowStrings will contain between 0 and 50 characters, inclusive.    Each element of columnStrings will contain between 0 and 50 characters, inclusive.    rowStrings and columnStrings will contain only lowercase letters ('a''z').   Examples  0)    {"f", "o", "x"}
 {"f", "o", "x"}

 Returns: 1  The only valid way to choose the strings:
  
 f   
  
  o  
  
   x 
  
That is, S[0][0]="f", S[1][1]="o", S[2][2]="x", and all other S[i][j] are empty. 

 1)    {"x", "x", "x"}  {"x", "", "xx"} 
 Returns: 3  These are the three valid possibilities:
        
 x       x     x 
        
   x   x       x 
        
   x     x   x   
        


 2)    {"cd", "cd", "cd"}  {"dvd", "dvd", "dvd"} 
 Returns: 0  In this case there is no way to satisfy all conditions. 

 3)    {"abab", "ab", "abab"}  {"abab", "ab", "abab"} 
 Returns: 11  
 4)    {"qwer", "asdf", "zxcv"}  {"qaz", "wsx", "erdfcv"} 
 Returns: 1  

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