Isabeau's Puzzle Mania: Very Hard Sudoku

Each Sudoku is comprised of 81 numbers. There are nine horizontal lines and 9 vertical lines, and there are 9 smaller blocks included in each puzzle - outlined by a darker line. Rules: Each of the 9 horizontal lines, 9 vertical lines and 9 small blocks include the numbers 1-9, without any numbers being duplicated within the given item. The challenge is to figure out where the numbers 1-9 should appear in the puzzle, without violating the rules outlined in the paragraph above.