The Cave Generator

Everyone has played a game with randomly generated map before, but in this game you will be the map generator in the setting of  a cave. Find the order of the cave parts so that when the predictable "player"  will go through that,  all the traps, monsters and other deadly obstacles will be dodged.
(I recommend playing the updated version of the game, because the original that was submitted for the game jam crashes at level 13. Otherwise, they are pretty much the same.)