Tri Outside Sudoku (Daily Sudoku League #45)

This is the Sudoku in which rules of two Sudoku are merged. One is Tri Sudoku where shaded cells contains three different number, another Sudoku is Outside Sudoku.
This is not the new type but I have seen this type appearing in one of WPF Grand Prix 2013 Sudoku championship last year.

This Tri Outside Sudoku is my 45th contribution for The League of Extraordinary Ladies and Gentlemen.

Rules of Tri Outside Sudoku

Classic Sudoku Rules apply. Additionally the grey cells contain only three different digits. Outside clues correspond to digits which are in the first three cells in the corresponding direction.