JOIN

 Problem Statement

Problem Statement for MagicalSquare

### 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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This problem was used for:
Single Round Match 525 Round 1 - Division II, Level Three