## Clueless Skyscraper

For fans of Killer Sudoku, Samurai Sudoku and other variants

### Clueless Skyscraper

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: 536
Joined: 11 February 2006

Marvellous puzzle!

Here is a pictorial format:

(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!
udosuk

Posts: 2698
Joined: 17 July 2005

Yep, that was my solution too.

Thanks for the improved picture!

Bill Smythe
Smythe Dakota

Posts: 536
Joined: 11 February 2006

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

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

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: 536
Joined: 11 February 2006