(20 pt., 10 pt. each) Draw a Hasse diagram for each of the following partial orders. Find the maximal and minimal elements and determine whether the partial order is a total order. a. R is a partial order on the set [0, 1,2,3, 4,5) such that (xy e R if and only if x 2y. b. R is a partial order on the set (2,3,5, 10,11,15,25] such that (x,y) E R if and only if y is divisible by x. Hint: An integer y is divisible by an integer x with x # 0 if and only if there exists an integer k such that y = xk