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Smallest Square Chessboard (Posted on 2023-01-23) Difficulty: 1 of 5
Place precisely four Bishops and four Knights in a square chessboard of any size such that:
  1. Each Bishop is attacking exactly 2 Knights, but no Bishop.
  2. Each Knight is attacking exactly 2 Bishops but no Knights.
Determine the smallest chessboard that is required to achieve this.

See The Solution Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

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Solution | Comment 1 of 2
It's pretty clear a 3x3 square won't work.  The Bishops can't go in the corners and attack two squares.  If placed in two edge squares they will attack each other.

4x4 works:

.BB.
N..N
N..N
.BB.

  Posted by Jer on 2023-01-23 12:49:31
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