Question

Write a program RandomWalker.java that takes an integer command-line argument r and simulates the motion of a random walk until the random walker is at Manhattan distance r from the starting point. Print the coordinates at each step of the walk (including the starting and ending points), treating the starting point as (0, 0). Also, print the total number of steps taken.

Answer 1

The program RandomWalker.java should simulate a random walk in a grid until the walker is at a specified Manhattan distance from the origin, outputting each step's coordinates and the total number of steps.

Step-by-step explanation:

The question requires creating a program called RandomWalker.java that simulates the Two-Dimensional Motion of a random walk. The program should take an integer command-line argument r and simulate the motion of the random walker until the walker is at a Manhattan distance r from the starting point. The starting point is considered to be (0, 0). The program should output the coordinates at each step, and also the total number of steps taken once the walk concludes.

To achieve the simulation, we need to randomly choose a direction for the walker to take (up, down, left, or right) at each step, and then move the walker in that direction by 1 unit. The Manhattan distance is the sum of the absolute differences of the coordinates, and the simulation stops once this distance is equal to or greater than the given r. As requested, the coordinates at each step will be printed, along with the total step count at the end of the simulation.