Futoshiki - Brain game 2.0

Futoshiki, is a brain teasers game from Japan. The puzzle is played on a square grid 5 x 5. The objective is to place the numbers 1 to 5 such that each row, and column contains each of the digits 1 to 5. In addition, inequality constraints are also initially specified between some of the squares, such that one must be higher or lower than its neighbour. These constraints must be honoured as the grid is filled out.