As we've seen above, both algorithms are agnostic about the structure provided our maze is finite and our target is reachable). This approach produces mazes like the one seen here.ĭFS and BFS are cool, and they're both guaranteed to find solutions under normal conditions (e.g. Pick the least expensive element out of the list.First, assign every potential square a random numerical weight.We add an initial step before our old step 1,
Because each node has a fixed weight, if a node is generated with a high weight, it will be selected against in every successive round until it is the least expensive remaining node.įor the most part, our implementation of Prim's algorithm is identical to our earlier algorithm. Prim's accomplishes this by always using the least expensive available path extension. A minimum spanning tree is a spanning tree that's designed to choose the least expensive way of connecting all the tree's nodes, based on the cost of drawing any particular connection. Prim's algorithm is a method for building a minimum spanning tree. We can do this by assigning every square on the grid a random weight, and then using Prim's algorithm to build our maze. We want to put the randomness into the global structure instead of just the local path expansion. Because every node has a fresh chance in every drawing, the overall tendency is toward unbiased radial expansion outward from the root. In our simple randomized growth algorithm, we used random selection from the set of candidate extensions to grow the maze.
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