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 |
As I had the privilege of seeing and solving the puzzle before it was published, I held back from posting the solution, because I thought it would be unfair to others.
My solution has been verified by Rod, which implies that it is unique.
On the advice of brianjn, I am now publishing it.
358967412
964312857
712845936
835794621
249631578
671528394
123456789
586279143
497183265
Solution
