Online Shape Sudoku

Place the shapes in the grid so that every row, every column, and each of the 9 3x3 squares contains only one occurence of each of the shapes. This version began life as an example of what not to do for putting picture sudoku on your own site, but hey, it's a challenge, and you wouldn't shrink back before a challenge would you? It is rather harder than any of the other versions above.

All puzzles here are solvable and have only one solution.