Urban planner puzzle

Veronica recently sent me this puzzle:

In English: the grid is a city and you must place buildings in the cells. Buildings can have a height between 1 and 5 floors inclusive. Rows and columns have Sudoku rules; you can't have a building of the same height be on the same row/column. The numbers on the edges are how many buildings are visible from that vantage point.

So for example, for a row of 13254, the number on the right would be 2 (you can only see the buildings 4 and 5) and the number on the left would be 3 (you can only see 1, 3, and 5).

Give it a go then check against my solution!