1. ## Chessboard

How Many queens can you place on a chessboard so that no queen can be taken by another queen and how ?

2. ## Re: Chessboard

Does it have to be a legal chess position?

StuartR

3. ## Re: Chessboard

<span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>7</font color=yellow></span hi>

<span style="background-color: #FFFF00; color: #000000; font-weight: bold"><table border=1><tr><td>

4. ## Re: Chessboard

In a real chess game, there would never be more than two queens on the board. This is more of a theoretical exercise: can you position 8 queens (the maximum, there can't be 2 queens in the same row or column) on a chess board in such a way that none can take one of the others directly? And if so, in how many different ways?

5. ## Re: Chessboard

I reckon I could get 64 on the board if they are all the same colour.

StuartR

6. ## Re: Chessboard

<img src=/S/rofl.gif border=0 alt=rofl width=15 height=15>
You could probably fit in 7 by 7 = 49 extra in the spaces in between, making for a total of 64+49 = 113.
Or place hundreds of queens from miniature sets on a normal sized chess board...
Of course, having so many queens in a crowded space is a recipe for trouble!

7. ## Re: Chessboard

Actually, in a real chess game, although impractical and highly atypical, it is not only possible, but it is legal to have as many as 18 Queens on the board with each player having their original and 8 promoted. But here in this exercise, the maximum on the board so that no Queen can take another directly would be <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>7</font color=yellow></span hi>.

8. ## Re: Chessboard

How about <span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow>8</font color=yellow></span hi>?

<span style="background-color: #FFFF00; color: #000000; font-weight: bold"><font color=yellow><table border=1><tr><td align=right>

9. ## Re: Chessboard

Excellent, Hans! <IMG SRC=http://www.krymow.com/images/yougo.gif>

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