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 Smallest Square Chessboard (Posted on 2023-01-23)
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.

 Submitted by K Sengupta Rating: 4.0000 (1 votes) Solution: (Hide) In a 4x4 chessboard, we can have this placement:``` +---+---+---+---+ | | B | B | | +---+---+---+---+ B -> Bishop | N | | | N | N -> Knight +---+---+---+---+ | N | | | N | +---+---+---+---+ | | B | B | | +---+---+---+---+``` This satisfies all the given conditions. Thus, the required smallest dimension of the square chessboard is 4x4.```For a more detailed explanation, refer to the solution submitted by Jer in this location. ```

Comments: ( You must be logged in to post comments.)
 Subject Author Date No Subject jaydeniaz 2023-10-20 05:16:01 Solution Jer 2023-01-23 12:49:31

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