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Sudoku Skyscraper

If you imagine that the numbers in Sudoku are the floors of a skyscraper, then the numbers outside the grid show how many skyscrapers are visible from the point where the number stands.

Rules of Skyscraper Sudoku

Fill the grid according to standard Sudoku rules: each row, column, and 3×3 box must contain the digits 1-9 without repetition.

Additionally, imagine that each cell contains a skyscraper with a height equal to its digit (1-9). The numbers outside the grid indicate how many skyscrapers can be seen when looking from that position along the corresponding row or column.

A taller skyscraper blocks the view of shorter skyscrapers behind it. For example, if a row contains the sequence 2, 1, 4, 3, 5, 9, 7, 8, 6 when viewed from the left, only 4 skyscrapers would be visible (heights 2, 4, 5, and 9), because each visible skyscraper must be taller than all skyscrapers before it.


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