perplexus.info :: Games : An Occupied And Vacant Squares Problem

An Occupied And Vacant Squares Problem (Posted on 2006-03-19)

Place 4 Kings, 4 Rooks, 2 Knights, and 1 Bishop on a conventional (8x8) chessboard in order that every square, whether occupied or vacant, is under attack.

How about placing 6 Kings, 2 Rooks, 2 Knights, and 1 Bishop on the said board, satisfying the same conditions?

Submitted by K Sengupta

Rating: 2.5000 (2 votes)

Solution: (Hide)

SOLUTION TO PART A:

The solution of this problem is as follows :

Kings : R2C3,R2C7,R6C3 and R6C7
Rooks: R2C5,R4C1,R4C7 and R8C5
Knights: R3C3 and R6C6
Bishop: R4C5

where R denotes the Rows and C denotes the columns.

SOLUTION TO PART B:

The solution of this problem is as follows.

Kings : R2C3,R2C5,R2C7,R4C7,R6C3 and R6C7
Rooks: R4C1 and R8C5
Knights: R3C3 and R6C6
Bishop: R4C5

where R denotes the Rows and C denotes the columns.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: conditions	Justin	2006-03-20 10:06:52
conditions	rich	2006-03-19 17:07:08
Two too many knights - Part II	Leming	2006-03-19 15:57:56
Two too many kings - Part I	Leming	2006-03-19 15:39:09

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