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exam2_solution - COP 3530 Midterm Part 2(Mar 5 2008 NAME...

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COP 3530 Midterm, Part 2 (Mar 5, 2008) NAME: . 1. (24 points) For each of the following operations, state the best-case (Ω( ... )) and worst-case ( O ( ... )) run time. Assume that the data structure contains n objects. Assume that a singly linked list has a reference to the head, but not the tail (just like the book). (a) Given an index i , find the i th item in a singly linked list. Solution: Ω(1) and O ( n ). Alternatively, Ω( i ) and O ( i ); either solution (or combination of solutions) is fine. (b) Given an index i , find the i th item in an ArrayList. Solution: Ω(1) and O (1). (c) Given a new node t and a node p already in the list, insert t just before node p in a singly linked list. Solution: Ω(1) and O ( n ). Alternatively, Ω( i ) and O ( i ); either solution (or combination of solutions) is fine. (d) Given a new node t and a node p already in the list, insert t just after node p in a singly linked list. Solution: Ω(1) and O (1). (e) Given a new node t and a node p already in the list, insert t just before node p in a circular doubly linked list. Solution: Ω(1) and O (1). (f) Given a new node t and a node p already in the list, insert t just after node p in a circular doubly linked list.
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