Daily Brain Games (Feb 21) - how witty are you?

This figure represents a housing area. Every column and each row has
1 one-storey building,
1 two-storey building,
1 three-storey building,
1 four-storey building,
1 five-storey building and
1 six-storey building.

The numbers beside the rows and columns indicate the number of houses you can see from that point in the given row or column. (Obviously higher houses will cover the smaller ones, but behind the small ones you can see the high ones.)

Fill in the grid accordingly. Give your solutions by rows, start with the one on top and finish with the one on the bottom like this:
123456
123456
123456
123456
123456
123456

Good luck! Looking forward to your replies!