Billy Smith smudged his lollypop at a point on the wall of the living room 1 foot from the floor and 5 feet from each corner. A fly with a broken wing is standing on the opposite side wall 1 foot from the ceiling and 6 feet from each corner. If the living room is 30 feet long, 12 feet high, and 12 feet wide, what is the shortest path along which the fly must walk to get from where she is to the lollypop smudge?