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Max Quad Skyscraper Sudoku

Fill the grid with the digits 1 to 9. The digits represent the height of the skyscraper in each cell. Each row, column and 3x3-box has exactly one of each digit. The clues along the edges tell you how many skyscrapers you can see from that vantage point. The red points in the near of crosses where four cells meet each other show that the cell with the red point is greater then the three other ones.

Max Quad Skyscraper Sudoku