Consider the following recursive method in Java that determines if a string is a palindrome (i.e., reads the same forward or backwards) or not: Public boolean isPalindrome ( String str ){ If( str.length() ≤ 1 ) return true; else return ( str.charAt (0) == str.charAt( str.length() – 1 ) && isPalindrome( str.substring(1..str.length() - 1))); } // end of isPalindrome a. Explain convincingly why the recurrence below for f(n), where n is the length of the string parameter str, is a correct expression for the number of primitive operations required by a call isPalindrome. t(0) = Θ(1) t(1) = Θ(1) t(?) = t(? − 2) + Θ(1) b. Show that t(n) = Θ(n), solves the recurrence for t(n) in (a) above.

EBK JAVA PROGRAMMING
9th Edition
ISBN:9781337671385
Author:FARRELL
Publisher:FARRELL
Chapter7: Characters, Strings, And The Stringbuilder
Section: Chapter Questions
Problem 17RQ
icon
Related questions
Question

Consider the following recursive method in Java that determines if
a string is a palindrome (i.e., reads the same forward or backwards) or not:

Public boolean isPalindrome ( String str ){
If( str.length() ≤ 1 )
return true;
else
return ( str.charAt (0) == str.charAt( str.length() – 1 ) &&
isPalindrome( str.substring(1..str.length() - 1)));
} // end of isPalindrome


a. Explain convincingly why the recurrence below for f(n), where n is the length of the string parameter str, is a correct expression for the number of primitive operations
required by a call isPalindrome.
t(0) = Θ(1)
t(1) = Θ(1)
t(?) = t(? − 2) + Θ(1)
b. Show that t(n) = Θ(n), solves the recurrence for t(n) in (a) above.

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
EBK JAVA PROGRAMMING
EBK JAVA PROGRAMMING
Computer Science
ISBN:
9781337671385
Author:
FARRELL
Publisher:
CENGAGE LEARNING - CONSIGNMENT