Two blocks, named HHH and LLL exist. South of block LLL there is block HHH with a large purple pentagon, a little purple pentagon and a medium purple hexagon. Disconnected from this block there is block LLL. Block HHH covers a little grey pentagon. West of a medium grey hexagon is the little purple pentagon. The medium grey hexagon is covered by block HHH. A large grey hexagon is inside and touching and a large grey star is in block HHH. The medium purple hexagon is south of the little grey pentagon. The large grey star is west of this thing. Block LLL contain a little grey pentagon and a medium grey hexagon.
What is the position of the little grey pentagon in LLL regarding the large purple pentagon?