Chess Riddle. Who's Good At Logic?

#1 Gnome

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Posted 07 April 2008 - 05:49 PM

Consider a 5 by 5 Chess Board. Is it possible to place 5 Queens on the board such that three pawns can safely be placed on the board? (aka, by carefully choosing where to place the 5 queens, can you arrange it so that there are 3 squares on the board that none of the queens can attack)

Took me a few good minutes to come up with the solution. I'll post it later if nobody can get it.

#2 helloPanda!

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Posted 07 April 2008 - 06:59 PM

how do queens move again? o.o

just place the 5 queens on the other end... and the 3 pawns on the opposite? >_>?

this is confusing. I DON'T EVEN REMEMBER HOW TO PLAY CHESS.

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#3 Gnome

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Posted 07 April 2008 - 07:02 PM

Queens move every way possible. Up, down, left, right, and diagonal.

#4 Crispy

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Posted 07 April 2008 - 07:03 PM

Queens can go completely horizontal, vertical, or diagonal.

I've done similar chess logic problems, but without pawns.
Have you done the ones with a set amount of Queens, and you have to place them all on the board without any of their movement paths conflicting?

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#5 Gnome

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Posted 07 April 2008 - 07:04 PM

No, i can't say i have. You wouldn't happen to remember the riddle off the top of your head, right now?

#6 bliss_

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Posted 07 April 2008 - 07:10 PM

I did the same or similar game on Prof. Layton DS game. I just can't exactly remember what correct positions. lol

#7 Ichigo*

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Posted 07 April 2008 - 07:13 PM

can you give a picture to your question:

Consider a 5 by 5 Chess Board. Is it possible to place 5 Queens on the board such that three pawns can safely be placed on the board? (aka, by carefully choosing where to place the 5 queens, can you arrange it so that there are 3 squares on the board that none of the queens can attack

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#8 Crispy

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Posted 07 April 2008 - 07:18 PM

QUOTE (Gnome @ Apr 7 2008, 10:04 PM) <{POST_SNAPBACK}>

No, i can't say i have. You wouldn't happen to remember the riddle off the top of your head, right now?

Here's an easy example of one:
You have a 4x4 chess board and 4 queens.
Place all queens on the board so that no queen blocks another's line of movement.

A solution would be: (label board A-D across, 1-4 downwards)

- A3
- B1
- C4
- D2

Here's one that's a bit harder:
You have a 5x5 chess board and 5 queens.
Place all queens on the board so that no queen blocks another's line of movement.

Now, here's a difficult one:
You have an 8x8 chess board and 8 queens.
Place all queens on the board so that no queen blocks another's line of movement.

Grip me with your eyes.

#9 marasshi

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Posted 07 April 2008 - 07:24 PM

QUOTE (Crispy @ Apr 8 2008, 11:03 AM) <{POST_SNAPBACK}>

Oh that was in Professor Layton. I got up to the 8x8 chessboard (with 8 Queens). It took me forever to solve.

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#10 Gnome

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Posted 07 April 2008 - 07:26 PM

QUOTE (Ichigo* @ Apr 7 2008, 10:13 PM) <{POST_SNAPBACK}>

The yellow are the paths the queens placed can take.
The green is the space that the queens can't touch.
You can rearrange the 5 queens in any space you like, as long as there are 3 "untouched" squares for the pawns to lay.

#11 slimjim

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Posted 07 April 2008 - 07:50 PM

if I understand your question correctly, can you do A2,A3,C1,D1,D2?

#12 justiiine

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Posted 07 April 2008 - 08:40 PM

ookay ... EPISTAXIS much?! lol ((:

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#13 nak3d

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Posted 07 April 2008 - 09:51 PM

Yay or nay?

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#14 Gnome

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Posted 07 April 2008 - 09:58 PM

QUOTE (nak3d @ Apr 8 2008, 12:51 AM) <{POST_SNAPBACK}>

Yay or nay?

[img]http://img.photobuck.../Untitled-1.jpg

Close, but you need to use 5 queens.

#15 Crispy

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Posted 07 April 2008 - 10:10 PM

QUOTE (nak3d @ Apr 8 2008, 12:51 AM) <{POST_SNAPBACK}>

Yay or nay?

http://img.photobucket.com/albums/v172/ins.../Untitled-1.jpg

Just add a queen in E4.

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#16 xlxlizzaxlx

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Posted 07 April 2008 - 10:19 PM

omg... you dont know how long it took me (and how many chess boards to draw) before i came up with an answer...

ok so i don't have any visuals cuz idk how to use something like drawing on mac, but just pretend that there's A-E (vertical lines), 1-5 (horizontal lines)
so i think the queens can go on A1, A2, C1, D1, and D2
the pawns have space on B5, E4, and E5.
right? =[
yeah, haha im on spring break and I just used about an hour to figure this out xP (my parents think I'm studying... shhhh)

EDIT:: now that i look at it, nak3d's got the right answer except just need to add the one queen. and mine is similar, just turned sideways or something

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