Prove that the mazes generated byt the algorithm described in the below picture, the path from the starting to ending points is unique.

A simple algorithm to generate the maze is to start with walls everywhere (except for the entrance and exit). We then continually choose a wall randomly, and knock it down if the cells that the wall separates are not alreadyc process until the starting and ending cells are connected, then we have a maze. It is actually better to continue knocking down walls until every cell is reachable from every other cell (this generates more false leads in the maze) to each other. If we repeat this