Take the case where w=2: consider dividing the range [1,2] into pieces of length rho with enpoints in L= {1, 1+rho, 1+2rho,..., 2-rho, 2}. Rounding the values of the actual weights to the nearest value in L. Show that using the new weights won't change the value of the output MST by much. Show how to adapt the algorithm from class to work in this "discretized" setting.