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Hitori Solving Techniques
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Closures - Corner / Edge / Mid (Dynamic)
 
< Set Circle
 
Closure techniques are simply the application of the final rule of the game of Hitori - Painted cells must not form an enclosed region that divides one region of white cells from another on the board.
 
We divide this rule into three scenarios, mainly to help provide some measure of difficulty in solving a board, but really none of these are that difficult to spot!
 
Corner Close
 
As soon as a cell next to a corner cell of the board is painted (set), we can deduce that the second cell adjacent to the corner cell cannot be painted, as otherwise the corner cell (which must therefore be white) would become divided from the remaining white cells on the board.
 
 
Edge Close
 
As soon as two painted cells seperated by a white cell both appear on the edge of the board [first diagram], or two diagonally painted cells appear with one of the painted cells on the edge of the board [second diagram], an 'edge' closure must be prevented.
 
 
Mid Close
 
We must continue to prevent all divisions of white cells, and the final technique looks for all cells towards the middle of the board (i.e. away from the corners and edges) which if painted would divide white cells.
 

     
 
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