Generate 1000 random points from an i.i.d. uniform distribution with the number of dimensions (d) varying over [1,2,4,8,16,32,64, 128, 256, 512, 1024, 2048]. You can do this easily in Matlab using the function rand(m,n). Randomly select 1 point, compute its nearest neighbor distance DMIN and farthest neighbor distance DMAX. Compute the ratio r = DMAX/DMIN. Repeat this 100 times for each d, and report the average r for each d in a table.