Puzzles #53 & #54 - A Powerful Constraint (Fivecells)

These two puzzles were the example and contest puzzle for Noncongruent Fivecells. Follow all standard Fivecells rules, with the added restriction that no two regions may be the same shape. Rotations and reflections are counted as the same shape for these puzzles.

puzz.link interface

puzz.link interface

Yes, the example puzzle does in fact have more clues than the contest puzzle. It's also unique from only the 1s- the 2 and 3 only help the solve path, but they do help significantly. Constructing both of these were very challenging, and I used qhex for testing packing fits on partial starts to make sure that the puzzle could even work.