Working in a Rubik's Cube factory has always been your dream job, but you're a clumsy rube. Now you're trying to invent a new variation, a 5x5x5 Rubik's Cube! You just walked into the research lab with a working prototype and accidentally dropped it, breaking it into 2 pieces. You have one piece in your left hand and are trying to find the other. Unfortunately, the floor is littered with parts from previous attempts, making it difficult to find the missing piece. Luckily, you know how to program...
Given two solids composed of unit cubes, determine if they can be fit together to form a solid 5x5x5 cube.