Queens Puzzle (Pool Room)

There are many, many possible solutions to this puzzle, so I won't even
try to list all of the combinations.

One general rule is to avoid any sort of pattern to your placement of the
queens.

The game will automatically remove queens that are in the wrong location.
Sometimes you can put down a queen in a location that will remove several
other queens at the same time.  I found that looking for such spots and
putting queens in them will save you from running into problems at the end
of the puzzle.