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 Nine cards (Posted on 2005-10-14)
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.)
 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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