Logic Masters Deutschland e.V.

It's been a couple of months since I last set a sudoku - I returned to my first true puzzling love, cryptic crosswords, for a while - but some time back, the fickle beast that is inspiration gave my brain a poke and said "time for something more logical"... so yeah, this puzzle traces its inception to me watching Simon from Cracking The Cryptic solve Lucy Audrin's "Return of the Pentominous Odds", and thinking that some of the parity logic involved would play rather nicely with killer cages. Then I saw someone in the comments, in an otherwise glowing review, say that it was a shame the pentiminoes in the finished puzzle weren't all joined together...

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Rules
Normal sudoku rules apply.
The expression in the top-left corner of each cage describes the sum of all the digits within it, giving either the value or the parity thereof. The values of constants x and y are to be determined - they may not necessarily be distinct integers!
Within boxes, all odd digits must be contiguous, thus forming pentominoes. Furthermore, all the odd digits in the puzzle must be contiguous - that is, the nine pentominoes form a contiguous region.

You can solve it on f-puzzles here! The colours in the image above do not appear at this link, because they are completely irrelevant to the solve and were included mainly to make it look pretty. That said, they're also meant to highlight the fact that there are, appropriately enough, five cages of each type, and that the cells involved in cages are all symmetrically arranged. Working towards such neatness actually made the puzzle better than its original draft, for reasons that I won't even pretend to understand.