Delta Heterocut

Rules: Divide the grid into polyominos of areas in the given range.If there is a white circle between two cells,it means the cells belong to different polyominos of the same size.A grey circle means the sizes of the two polyominos differ by 1, and a black circle stands for a difference of 2.No two polyominos can be identical,even after rotation/reflection.

Heterocut (Cut the cake)

This puzzle marks my birthday.The clues are designed to look like some figures.
The range of areas for polyominos is given below the puzzle.

Snake in Heterocut

This is a hybrid of snake and heterocut.

Rules