  A room temperature liquid metal features a melting point around room
temperature. We use liquid metal gallium due to its non-toxicity. A physical
maze is a connected set of Euclidean domains separated by impassable walls. We
demonstrate that a maze filled with sodium hydroxide solution is solved by a
gallium droplet when direct current is applied between start and destination
loci. During the maze solving the droplet stays compact due to its large
surface tension, navigates along lines of the highest electrical current
density due its high electrical conductivity, and goes around corners of the
maze's corridors due to its high conformability. The droplet maze solver has a
long life-time due to the negligible vapour tension of liquid gallium and its
corrosion resistance and its operation enables computational schemes based on
liquid state devices.
