A self-avoiding walk in a lattice is a path from one point to another that does not visit the same point twice. Self-avoiding walks have applications in physics, chemistry, and mathematics. They can be used to model chain-like entities such as solvents and polymers. Write a program that displays a random path that starts from the center and ends at a point on the boundary, as shown in Figure 15.39a, or ends at a deadend point (i.e., surrounded by four points that have already been visited), as shown in Figure 15.39b. Assume the size of the lattice is 16 by 16.
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