3. Consider the one-dimensional random walk we discussed in class. Assume 32 particles start at the origin. At each time step, assume exactly half of the particles at each site move right (+) and half move left (). Determine where all of the particles are (i.e., how they are distributed) after each of the first 5 time steps. In other words, after each time step, determine all nonzero values of N(z)= the number of particles at position z. Use N(z) to directly calculate z2(n) after each time step