Queens vs Queens!

Logic Level 1

What is the maximum number of queens you can place on a 8 × 8 8\times8 chessboard such that none of them can attack each other in one move?

14 12 8 6 10

Munem Shahriar by Munem Shahriar , 18, Bangladesh

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2 solutions

The solution here is that no two queens must share the same row, column or diagonal.

1 Helpful 0 Interesting 1 Brilliant 0 Confused
Ayush Kumar
Sep 30, 2017

Every queen controls 1 row and 1 column (plus some diagonals that we will ignore. There are 8 rows and 8 columns and there can be at most 1 queen in each, there can be 8 \boxed{8} queens or less only. However, you should note that the diagonals could have made this impossible, which is not the case in this puzzle as seen by the many solutions to placing 8 queens on a chessboard.

0 Helpful 2 Interesting 0 Brilliant 0 Confused

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