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Nine cards (Posted on 2005-10-14) Difficulty: 2 of 5
Nine cards are disposed as shown:
           +---+---+---+
           | a | b | c |
           +---+---+---+
           | d | e | f |
           +---+---+---+
           | g | h | i |
           +---+---+---+

1) There are, at least, two Aces, two Kings, two Queens and two Jacks.
2) Every Ace borders a King and a Queen.
3) Every King borders a Queen and a Jack.
4) Every Queen borders a Jack.
Note: "border" means "touch" horizontally or vertically, not diagonally.

Identify the nine cards.

See The Solution Submitted by pcbouhid    
Rating: 2.7500 (8 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution my solution (step-by-step) | Comment 11 of 30 |
The first thing you notice is that Jack has no restrictions and so it must go in the middle
           +---+---+---+
           | | | |
           +---+---+---+
           | | J | |
           +---+---+---+
           | | | |
           +---+---+---+
Since every King must border a Jack both must touch this one
           +---+---+---+
           | | | |
           +---+---+---+
           | K | J | K |
           +---+---+---+
           | | | |
           +---+---+---+
Kings must also border Queens 
           +---+---+---+
           | Q | | Q |
           +---+---+---+
           | K | J | K |
           +---+---+---+
           | | | |
           +---+---+---+
This forces us to use another Jack since all Queens border Jacks
           +---+---+---+
           | Q | J | Q |
           +---+---+---+
           | K | J | K |
           +---+---+---+
           | | | |
           +---+---+---+
The final row is easy since the two Aces must still be placed and they have to border K and Q
           +---+---+---+
           | Q | J | Q |
           +---+---+---+
           | K | J | K |
           +---+---+---+
           | A | Q | A |
           +---+---+---+

  Posted by tanx on 2005-10-14 20:43:23
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