Note: This is closely related to Problem 2538, Find the Next Legal Move in Reversi.

Reversi, also known as Othello, is a game in which reversible white/black chips are placed on a grid. The goal is to have the most pieces once the board is full (i.e. there are no more legal moves). A move, to be legal, must flip at least one opponent's chip by flanking it. "Flanking" occurs by surrounding a line of opposing chips with two of your own. It can occur on straight lines and diagonals.

We represent a small 4x4 board this way, with 0 for empty squares, 1 for black chips, and 2 for white chips,

 [ 0 0 0 0
   0 1 2 0
   0 2 1 0 
   0 0 0 0 ]

Now assume black now moves where the asterisk (*) is placed. This is column-wise matrix index position 14.

 [ 0 0 0 0
   0 1 2 *
   0 2 1 0 
   0 0 0 0 ]

Your Cody challenge is to determine the state of the board once the appropriate chips have been flipped over. In this case the correct answer would be

 [ 0 0 0 0
   0 1 1 1
   0 2 1 0 
   0 0 0 0 ]

Example

For the inputs boardIn, side, and move

 boardIn = ...
   [ 0 0 0 0 0
     0 1 1 2 2 
     0 2 1 1 0
     0 0 2 1 0 
     0 0 0 0 0 ]
 side = 1 (black)
 move = 9 (matrix index of black's next move)

The correct answer is

 boardOut = ...
   [ 0 0 0 0 0
     0 1 1 2 2 
     0 1 1 1 0
     0 1 1 1 0 
     0 0 0 0 0 ]