In the exciting game of JoinK, red and blue pieces are dropped into an NbyN table. The table stands up vertically so that pieces drop down to the bottommost empty slots in their column. For example, consider the following two configurations:
 Legal Position  ....... ....... ....... ....R.. ...RB.. ..BRB.. .RBBR.. 
 Illegal Position  ....... ....... ....... ....... Bad > ..BR... ...R... .RBBR.. 
In these pictures, each '.' represents an empty slot, each 'R' represents a slot filled with a red piece, and each 'B' represents a slot filled with a blue piece. The left configuration is legal, but the right one is not. This is because one of the pieces in the third column (marked with the arrow) has not fallen down to the empty slot below it.
A player wins if they can place at least K pieces of their color in a row, either horizontally, vertically, or diagonally. The four possible orientations are shown below:
 Four in a row  R RRRR R R R R R R R R R R R 
As it turns out, you are right now playing a very exciting game of JoinK, and you have a tricky plan to ensure victory! When your opponent is not looking, you are going to rotate the board 90 degrees clockwise onto its side. Gravity will then cause the pieces to fall down into a new position as shown below:
 Start  ....... ....... ....... ...R... ...RB.. ..BRB.. .RBBR.. 
 Rotate  ....... R...... BB..... BRRR... RBB.... ....... ....... 
 Gravity  ....... ....... ....... R...... BB..... BRR.... RBBR... 
All that remains is picking the right time to make your move. Given a board position, you should determine which player (or players!) will have K pieces in a row after you rotate the board clockwise and gravity takes effect in the new direction.
The first line of the input gives the number of test cases, T. T test cases follow, each beginning with a line containing the integers N and K. The next N lines will each be exactly N characters long, showing the initial position of the board, using the same format as the diagrams above.
The initial position in each test case will be a legal position that can occur during a game of JoinK. In particular, neither player will have already formed K pieces in a row.
For each test case, output one line containing "Case #x: y", where x is the case number (starting from 1), and y is one of "Red", "Blue", "Neither", or "Both". Here, y indicates which player or players will have K pieces in a row after you rotate the board.
1 ≤ T ≤ 100.
3 ≤ K ≤ N.
3 ≤ N ≤ 7.
3 ≤ N ≤ 50.
Input 
Output 
4

Case #1: Neither

Points  Correct  Attempted 

11pt  2076  2436 
12pt  1855  2071 