What is the (worst case) time complexity of the following find function, which searches for a key in a list. As usual, you should give an answer that is a function of n = the input size = length of input list 1. You can assume the unit of work is the number of times the findHelper subroutine is called. find (key, list) { findHelper(list, index) { if (length(list) return -1 if (head(list) == key) return index findHelper(tail(list), index + 1) findHelper (key, 1, 0) (Recall, head(list) returns the first element of list and tail(list) returns the rest of list --i.e., all elements except the first.) O O(lg n) O 0(n lg n) (u)o O(n!) O(2")
What is the (worst case) time complexity of the following find function, which searches for a key in a list. As usual, you should give an answer that is a function of n = the input size = length of input list 1. You can assume the unit of work is the number of times the findHelper subroutine is called. find (key, list) { findHelper(list, index) { if (length(list) return -1 if (head(list) == key) return index findHelper(tail(list), index + 1) findHelper (key, 1, 0) (Recall, head(list) returns the first element of list and tail(list) returns the rest of list --i.e., all elements except the first.) O O(lg n) O 0(n lg n) (u)o O(n!) O(2")
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Transcribed Image Text:What is the (worst case) time complexity of the following find function, which
searches for a key in a list. As usual, you should give an answer that is a
function of n = the input size = length of input list 1. You can assume the
unit of work is the number of times the findHelper subroutine is called.
find(key, list) {
findHelper(list, index) {
if (length(list)
0)
==
return -1
if (head(list)
key)
==
return index
findHelper(tail(list), index + 1)
}
findHelper (key, 1, 0)
}
(Recall, head(list) returns the first element of 1ist and tail(list) returns the rest of
list ---i.e., all elements except the first.)
O O(lg n)
O 0(n lg n)
O O(n)
O O(n!)
O 0(2")
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