Clueless Skyscraper

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Clueless Skyscraper

Postby Smythe Dakota » Sun Jul 08, 2007 12:53 pm

Each row, column, and 3x3 box contains each digit 1-9. The digits and X's around the edges tell you how many skyscrapers are visible from that vantage point. Each X stands for a digit 1-9. The X's and the 3 above the top edge form a nonet, i.e. each digit 1-9 appears exactly once among these 9 characters.

Code: Select all
           X X X 3 X X X X X
           _ _ _ _ _ _ _ _ _
          |_|_|_|_|_|_|_|_|_|
          |_|_|_|_|_|_|_|_|_|
          |_|_|_|_|_|_|_|_|_|
          |_|_|_|_|_|_|_|_|_|  4
          |_|_|_|_|_|_|_|_|_|
       4  |_|_|_|_|_|_|_|_|_|
          |_|_|_|_|_|_|_|_|_|
          |_|_|_|_|_|_|_|_|_|
          |_|_|_|_|_|_|_|_|_|

                     1


I'll leave it up to some of you geeks to improve the rendering of the above diagram (and to post your improvement, please!). Unless I have committed a serious error in my reasoning, the solution is unique.

Bill Smythe
Smythe Dakota
 
Posts: 534
Joined: 11 February 2006

Postby udosuk » Sun Jul 08, 2007 8:21 pm

Marvellous puzzle!:)

Here is a pictorial format:

Image

(A,B,C,D,E,F,G,H each represents a distinct digit from 1,2,4,5,6,7,8,9.)

I believe the unique solution should be this one:

693741528
714852639
825963741
936174852
147285963
258396174
369417285
471528396
582639417

Unless both Bill and I have made a careless mistake in our logical reasoning.

Thanks again for the great neat puzzle, Billy!:D
udosuk
 
Posts: 2698
Joined: 17 July 2005

Postby Smythe Dakota » Sun Jul 08, 2007 11:05 pm

Yep, that was my solution too.

Thanks for the improved picture!

Bill Smythe
Smythe Dakota
 
Posts: 534
Joined: 11 February 2006

Postby udosuk » Mon Jul 09, 2007 8:15 am

Bill, I've just posted this puzzle on another forum on behalf of you.

Here is the link.

I know quite a few of skyscraper players in there, so hopefully more people would enjoy and appreciate your puzzle.:)
udosuk
 
Posts: 2698
Joined: 17 July 2005

Postby Smythe Dakota » Mon Jul 09, 2007 11:59 am

Thanks for posting my puzzle over there, and for calling my attention to yet another nice forum (almost as good as this one).

Bill Smythe
Smythe Dakota
 
Posts: 534
Joined: 11 February 2006


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