Code using matlab

Create a 101 by 101 matrix of zeros. Place a particle at the center of the grid by assigning a 1 there. Allow the particle to have an equal probability of moving in any of the four directions up, left, down, or right. Run the simulation until the particle reaches the boundary. Record the number of movements the particle needed to make in order to reach the boundary. Repeat this 10,000 times and report the average number of movements the particle makes during each run