Using Java in eclipse

Write a program that maintains the top $15$ scores for the students of a class that has more than $15$ students $,$ implementing the add and remove methods using a singly linked list instead of an array

$.$

Perform the previous project, but use a doubly linked list. Moreover, your implementation of remove$($i$)$ should make the fewest number of pointer hops to get to the student at index i$.$