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Bishops Amok

Logic puzzles require you to think. You will have to be logical in your reasoning.

 Puzzle ID: #39227 Fun: (2.16) Difficulty: (2.62) Category: Logic Submitted By: Hrsemn4

One variation of the famous "Eight Queens Puzzle" is the "Bishop Puzzle".

We know that you can place up to 8 queens on a chessboard with no other pieces in such a fashion that no queen can be taken. We also know that you can place 32 knights on the board in such a fashion that none can be taken.

Do you know how many bishops you can place on a standard 8x8 chessboard so that no piece can be taken? What is their placement?

Fourteen bishops can be placed on the board.

There are a number of solutions for this problem, but the simplest is the following placement.
1) b8
2) c8
3) d8
4) e8
5) f8
6) g8
7) a1
8) b1
9) c1
10) d1
11) e1
12) f1
13) g1
14) h1

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