This problem combines the familiar Skyscraper puzzle with Sudoku. The board is a basic Sudoku set-up, with each digit from 1 through 9 appearing once in every row, column and each of the nine 3x3 cell blocks. Only one starting number (the '3' in the middle cell of the board), is provided.

The final grid numbers 1 through 9 also represent the unit height (e.g. storeys) of the building sitting on each cell. So in true Skyscraper fashion, the outer numbers provided around the grid indicate the number of buildings that are visible when viewed inwardly across, up or down the respective row or column, or diagonally from the four corners.

Have fun with this one! It's tougher than it might first appear! (Hint: Some digits will be duplicated along the two diagonals, so this isn't a Sudoku 'X' problem!)

4	2	5	2	1	2	3	3	4	4	3
4										4
1										3
3										2
2										4
3					3					2
4										2
9										1
3										3
2										4
3	5	1	2	8	2	2	3	3	2	3

(In reply to UNCERTAINTY by Lloyd Peter)

Lloyd Peter, remember a comment made elsewhere about members being argumentative/conflicting on this site?  I say no more on that.

Yes, we have a blending of the Skyscraper and the Sudoku.  Personally for the Skyscraper scenarios I consider myself to be viewing each row/column unit by unit not as a complete entity.

Now that is the same for this problem with the exception that one has to consider the major diagonals as single rows.

A prior comment by Josie really says the same thing.  This is a theoretical representation rather than a "Da Vinci" perspective drawing.

An Aside.   Please note that capitalised titles are very likely to be viewed by members as "Internet Shouting"; avoid this unless there is need for some very special need/effect.

Edited on March 1, 2009, 8:27 am

Posted by brianjn on 2009-03-01 08:14:53