Fillomino solutions reduxComputer Science Level 4
polyomino \(S\). We want to divide \(S\) into several (may be one) smaller polyominoes. The division is called a Fillomino solution if no two polyominoes of equal size share a side. (They may touch at a point.) In other words, the division is a valid solution of a Fillomino puzzle.Consider a
Determine the number of distinct Fillomino solutions of the \(3 \times 3\) square.