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Cut the cake

Time Limit: 6000/3000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 1383    Accepted Submission(s): 560


Problem Description
Mark bought a huge cake, because his friend ray_sun¡¯s birthday is coming. Mark is worried about how to divide the cake since it¡¯s so huge and ray_sun is so strange. Ray_sun is a nut, you can never imagine how strange he was, is, and going to be. He does not eat rice, moves like a cat, sleeps during work and plays games when the rest of the world are sleeping¡­¡­It is not a surprise when he has some special requirements for the cake. A considering guy as Mark is, he will never let ray_sun down. However, he does have trouble fulfilling ray_sun¡¯s wish this time; could you please give him a hand by solving the following problem for him?
  The cake can be divided into n*m blocks. Each block is colored either in blue or red. Ray_sun will only eat a piece (consisting of several blocks) with special shape and color. First, the shape of the piece should be a rectangle. Second, the color of blocks in the piece should be the same or red-and-blue crisscross. The so called ¡®red-and-blue crisscross¡¯ is demonstrated in the following picture. Could you please help Mark to find out the piece with maximum perimeter that satisfies ray_sun¡¯s requirements?

 

Input
The first line contains a single integer T (T <= 20), the number of test cases.
  For each case, there are two given integers, n, m, (1 <= n, m <= 1000) denoting the dimension of the cake. Following the two integers, there is a n*m matrix where character B stands for blue, R red.
 

Output
For each test case, output the cased number in a format stated below, followed by the maximum perimeter you can find.
 

Sample Input
2 1 1 B 3 3 BBR RBB BBB
 

Sample Output
Case #1: 4 Case #2: 8
 

Author
BJTU
 

Source
 

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