Problem 5: Ramanujan class (20') Description Srinivasa Ramanujan was an Indian mathematician who became famous for his intuition for numbers. When the English mathematician G. H. Hardy came to visit him one day, Hardy remarked that the number of his taxi was 1729 , a rather dull number. To which Ramanujan replied, "No, Hardy! It is a very interesting number. It is the smallest number expressible as the sum of two cubes in two different ways. Since: 1729=13+123=93+103 Please finish writing the program Ramanujan.java using a minimumoriented PriorityQueue to find all such numbers that are less than or equal to N and that each can be expressed as the sum of two cubes in two different ways. In other words, find distinct positive integers i,j,k, and l such that i3+j3=k3+l3. Algorithm is working as follows: 1) Initialize a minimum-oriented priority queue with pairs (1,2), (2,3),(3,4),,(i,i+1) such that i