Hey there! We are currently in the process of developing plans for the new Sudoku City. As you can see, there are already plans for parks and other green spaces, as well as a few specific buildings, and a bridge across the river which runs through the city. However, the plans still need additional work, and that’s why you’re here. I have laid out some rules to follow when continuing these plans:
- Normal Sudoku rules apply.
- Skyscrapers: Each digit in an empty cell (i.e. cells which are not green, do not contain a blue line, and are not part of a cage) represents the height of a building in its cell. Taller buildings obstruct the view of shorter ones behind them. In this puzzle, buildings also obstruct the view of other buildings of the same height behind them.
- Green spaces: Digits in green spaces give the total number of buildings visible from that vantage point, in the digit’s row and column (see an example below).
- River (region sum): Region borders divide the river (blue line) into segments with the same sum.
- Bridges: Bridges (brown lines) connect diagonally adjacent cells across the river, as seen in R6C7 – R7C6. Digits connected by a bridge are consecutive. So far there is only one bridge planned, but we will need a second bridge somewhere else on the river. I will leave it to you to find a good place to put it.
- Assigned building plots (cages): There are three assigned plots of land (marked by cages) for specific buildings: a school, a town hall, and a cathedral. Digits must not repeat in these cages. Furthermore, the digits in these cages do not represent the height of the specific buildings. Instead, each of these three buildings has a uniform specified height (shown in brackets). The school has a height of 2, the town hall has a height of 4, and the cathedral has a height of 6. Each building only counts one time for any green spaces (for instance, the green space at R1C4 sees the town hall twice, but it only adds one to the total of buildings it can see).
- Three in the corner: Of course, it wouldn’t be a true Sudoku City if there weren’t a building with a height of 3 in one of the corners, so see to it that this is in the finished plan.
I’m sure with these guidelines, you’ll be able to plan the perfect city.
In the example below, the green space containing the digit 8 sees exactly 8 buildings, highlighted in blue. Remember, there are no skyscrapers on spaces that contain river or green spaces, and the three specific buildings have specified uniform heights.
Solve it on CTC .
Please feel free to ask any question regarding the puzzle in the comments and I’ll do my best to respond ASAP :)
Happy city planning!
Solution code: Row 3, left to right. Answer should be 9 characters, no spaces.
on 14. July 2025, 09:24 by QuiltyAsCharged
This is a great puzzle, and a really fun exercise in urban planning! It's not as difficult as it first appears. I loved discovering the properties of the large central green space.
I made the last part of the solve harder than necessary until I remembered the three in the corner rule.
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