Write a simulation program to showthat the chance of getting dead-end paths increases as the grid size increases.Your program simulates lattices with size from 10 to 80 with increments of 5.For each lattice size, simulate a self-avoiding random walk 10,000 timesand displaythe probability of the dead-end paths, as shown in the followingsample output: For a lattice of size 10, the probability of dead-end paths is 10.6%For a lattice of size 15, the probability of dead-end paths is 14.0%...For a lattice of size 80, the probability of dead-end paths is 99.5%

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Polynomial Time

The problems for which the deterministic polynomial-time algorithm exists belong to the complexity class (p) and it is central in the field of computational complexity theory. According to Cobham’s thesis, polynomial time is a synonym for “feasible”, “fast”, and “efficient”.