Even Product Sudoku

 In this Sudoku puzzle the clues reveal the product of the entries in adjacent cages.  These numeric clues are only given when the product is even.  A numberless dot indicates that the product is odd without revealing what that product is.  Most pairs of adjacent cells have no clues at all, since there is plenty of information to guarantee a unique solution with the clues that are already available.  

This puzzle has the feel of regular Sudoku once you get past the first phase of the puzzle, which I don't normally go for in this blog.  However, I think it provides an interesting contrast to the even sum puzzle and another upcoming puzzle I have yet to reveal, so I chose to include it.  

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