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Skyscrapers with glass towers (667)

Instruction:
Place numbers from 1-5 (1-4 in the example) in all the cells so that they do not repeat in rows and columns. These numbers represent heights of the buildings. The numbers around the grid indicate the number of buildings you can see from the given viewpoint. The building is visible only when it is higher than all the buildings in front of it.
One building in each row and column in invisible. The heights of invisible buildings are 1-5, each height exactly once.

Reference: WPC 2018 (120)

Parent puzzle:
Skyscrapers
Related puzzles:
Uncounted Skyscrapers