Objectives / Rules
- Complete the grid such that every row and column contains the numbers 1 to the size of the grid.
- Every row and column contains a number only once.
- The clues tell you how many skyscrapers you can see in that direction.
- You can't see a shorter skyscraper behind a taller one.
See the Walkthrough or Advanced Features below for extra tips and tricks.
What are the numbers around the edges?
Imagine standing around the edge, these numbers tell you how many skyscrapers you can see.
You might be able to see any number from 1 up to the size of the grid.
Click or move your mouse over the puzzle to see the answer.
Notes
Here are a few examples of how the clues help us to see which skyscrapers we might be able to see:
Walkthrough
Step 1
This is the start of the puzzle.
Solve this puzzle for yourself at the same time.
Step 2
The 4 clue tells us that we can see all 4 skyscrapers, so they must be in order of size.
Step 3
The 1 clue tells us that we can see only one skyscraper, which must be the <4>.
Step 4
The 3 clue tells us that we can see three skyscrapers, which means that the <4> can't be first or second, and in fact the remaining <1>, <2>, <4> must be in order of size.
Step 5
The 2 clue tells us that the first square can't be a <1> (otherwise we'd see 4 skyscrapers), so the first square must be the <3>.
Step 6
This is the only square for the <3> from Column 3.
Step 7
The <1> from Row 2 can't go in the last square as we already have a <1> in the end column, so this square must be the <1>.
Step 8
The puzzle now completes using the technique from Step 6.
Advanced Features
Skyscrapers puzzles share some similarities with the Sudoku puzzles and some of the techniques might be useful.
Pencil Marks
If you decide that a particular square could be two (or more) different numbers, you can enter them, and the system will make the numbers smaller, just like pencil marks on a piece of paper.
Auto-Pencil Marks
Typing A or # (when your cursor is in the grid) will fill in all of the possible values for each square. If only one value remains, that square will take that value.
Using Pencil Marks
Once you have pencil marks these can be used for some more advanced methods. For example, the highlighted squares cannot contain a <4> otherwise the we could never see correct number of skyscrapers.
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