onsider an urn with N many 1s and N many 1s. Randomly sample, without replacement, each of these 2N numbers one by one. This gives us a random sequence w = (w1, w2, . . . , w2N ) of exactly N many 1s and N many 1s. Consider a stochastic process by declaring S0 = 0 and then successively adding coordinates of w, i.e