Blocked View Skyscrapers: B1

I created the blocked View Skyscrapers puzzle type for the "Contest for best logic innovation". This puzzle is a variation of the famous skyscraper puzzle.

Rules of Blocked View Skyscrapers Puzzle

Fill the grid with digits 1 to 4, so that each digit appears exactly once in every row/column. The cells in the grid can be considered individual buildings, and the number inside the building is the number of floors. A number outside the grid indicates how many buildings can be "seen" from the corresponding direction. Additionally, each row/column contains a blocker. An observer cannot see beyond the blocker.

A building is seen by an observer if there are no buildings taller (with a greater number), between it and the observer and it is not blocked by a blocker in that direction.