1] represent an array with length n and indices 0 to n – 1. if i > j in A[i..)]
1] represent an array with length n and indices 0 to n – 1. if i > j in A[i..)]
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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Question
Let A[0..n – 1] represent an array with length n and indices 0 to n – 1. if i > j in A[i..)]
![Let A[0..n – 1] represent an array with length n and indices 0 to n – 1. If i > j in A[i..j],
-
then we say A is an empty array.
Define a function foo () as follows.
foo (A[O..n-1]) {
if n < 2
return 1;
i = 1
while i <= n:
boo (A[O.. i/2])
i = i * 2
a = foo (A[0.. (n/2)-1])
b = foo (A[n/3.. 2n/3-1])
c = foo (A[2n/3. . n-1])
return a +b + c
}
Suppose boo ()'s runtime is O(m), where m is the size of the input array for boo ().
What is the recurrence for the fo0 () function? Assume the arrays are passed by reference
instead of by data, i.e., the function calls themselves take O(1) time.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe17fd5b-4654-48a5-8fcb-d0368710a62b%2F1a80591e-d49a-43ca-803c-8570e49b3ebd%2F2m1lwdo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Let A[0..n – 1] represent an array with length n and indices 0 to n – 1. If i > j in A[i..j],
-
then we say A is an empty array.
Define a function foo () as follows.
foo (A[O..n-1]) {
if n < 2
return 1;
i = 1
while i <= n:
boo (A[O.. i/2])
i = i * 2
a = foo (A[0.. (n/2)-1])
b = foo (A[n/3.. 2n/3-1])
c = foo (A[2n/3. . n-1])
return a +b + c
}
Suppose boo ()'s runtime is O(m), where m is the size of the input array for boo ().
What is the recurrence for the fo0 () function? Assume the arrays are passed by reference
instead of by data, i.e., the function calls themselves take O(1) time.
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