Puzzle 31 / Fillomino [Sashigane]

This is a Fillomino puzzle where every polyomino is required to be an L-shape, as in Sashigane. Write a number in every empty cell so that every group of cells with the same number that is connected through its edges is an L-shape (with arms of positive length and 1-cell thickness) with that number of cells.

My second, and now symmetric, attempt at this crazy self-invented mutant; puzzle 22 was the first. A word of warning: I can’t solve this without bifurcating near the end, so logic purists may be disappointed, but I like the clue arrangement too much. In fact I suspect this puzzle could have many more clues removed without affecting uniqueness, so tight are the rule constraints in this type.


One thought on “Puzzle 31 / Fillomino [Sashigane]

  1. I see what you mean about the rule constraints, The L requirement logic can give a lot in the big open spaces. I thought I did solve it logically all the way through, but I can’t be sure as I’m not totally comfortable with that logic.

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