Thursday, 11 June 2015

logical deduction - How many Chess Pieces are needed to control every square on the board?


You may only use pieces in the original set, and all your pieces must be the same color. The king is not allowed. Pawns do not get promoted. Pieces do not control the square they occupy.


Accepted Answer goes to the person that has the least score.


Piece cost:




  • Pawn - 1

  • Knight - 3

  • Bishop - 3

  • Rook - 5

  • Queen - 9



Answer



I think I've found a cost-33 solution:


Cost-33



As far as I can tell it's valid, but I've been staring at it for so long that I kind of don't trust myself anymore... so if you see a mistake, please tell me.


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