New Concept Sudoku!

Adjoining squares in the grid's 3x3 boxes have a greater-than sign (>) telling you which of the two numbers in those squares is larger. Fill in every square with a number from 1 to 9 using the greater-than signs as a guide. When you're done, as in a normal Sudoku, every row, column, and 3x3 box will contain the numbers 1 to 9 exactly one time.