Invert Game

Invert is a cell-based puzzle game where the cell colours are "inverted" in rows and columns until all cells are the same colour. Selecting a cell causes all cells in the same row or column to be inverted.

Grid size can be set between 2 and 10 rows/columns and colour depth can be set between 1 and 4 colours. When more than one colour is specified, the cell colours are cycled at each "invert"

Please note, I do not know if all scenarios are actually solvable, particularly with multiple colours. I would be interested to hear solutions for any scenarios with 3 or 4 colours.