Place precisely four Bishops and four Knights in a square chessboard of any size such that:
- Each Bishop is attacking exactly 2 Knights, but no Bishop.
- Each Knight is attacking exactly 2 Bishops but no Knights.
Determine the smallest chessboard that is required to achieve this.
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.
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Posted by Jer
on 2023-01-23 12:49:31 |