Data Structures and Algorithms in Java[1].pdf - Fulvio Frisone

R-3.8
Give an algorithm for finding the penultimate node in a singly linked list where
the last element is indicated by a null next reference.
R-3.9
Describe a nonrecursive method for finding, by link hopping, the middle node
of a doubly linked list with header and trailer sentinels. (Note: This method
must only use link hopping; it cannot use a counter.) What is the running time
of this method?
R-3.10
Describe a recursive algorithm for finding the maximum element in an array A
of n elements. What is your running time and space usage?
R-3.11
Draw the recursion trace for the execution of method ReverseArray (A ,0,4)
(Code Fragment 3.32) on array A = {4,3,6,2,5}.
R-3.12
Draw the recursion trace for the execution of method PuzzleSolve(3,S, U)
(Code Fragment 3.37), where S is empty and U = {a,b,c,d}.
R-3.13
Write a short Java method that repeatedly selects and removes a random entry
from an array until the array holds no more entries.
R-3.14
Write a short Java method to count the number of nodes in a circularly linked
list.
Creativity
C-3.1
Give Java code for performing add(e) and remove(i) methods for game
entries, stored in an array a, as in Code Fragments 3.3 and 3.4, except now don't
maintain the game entries in order. Assume that we still need to keep n entries
stored in indices 0 to n − 1. Try to implement the add and remove methods
without using any loops, so that the number of steps they perform does not
depend on n.
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