The dumbest way to solve a maze, and it works every time.
Release thousands of particles at the entrance and let each random walk. The first to stumble out has traced a legal path. Retrace its steps and the answer is there. Diffusion, not thinking.
Give every pixel a Pokemon type, then let it fight its neighbours.
Fire beats grass, grass beats water, water beats fire. That loop has no winner, so no colour ever owns the grid. Domains swell, collide, and get eaten from behind.