A medium purple hexagon and a medium grey hexagon are in a block named HHH. To the north of the medium grey hexagon is the medium purple hexagon. There exists a block called LLL. A medium grey hexagon is south of and another medium grey hexagon touches a medium red hexagon. Block LLL has the medium red hexagon. This block covers medium grey hexagon number one. This block contains medium grey hexagon number two. Another medium grey hexagon is inside this block. South of and farther from another block called KKK is block HHH. Disconnected from this block is block KKK with a medium red hexagon. This block covers a medium purple hexagon.
Is a medium purple hexagon to the south of all medium red hexagons?