SKYSCRAPERS (DIFFICULT)

This grid represents a bird’s-eye view of a city’s CBD. Place a number from 1 to 5 – representing a building’s height in storeys – in each cell so that no two buildings in any row or column have the same height. The numbers outside the grid tell you how many buildings are visible to an observer looking in from that direction. Higher buildings block the view of lower ones behind them. Can you determine the heights of all 25 buildings?