Your lecturer is a funny guy; given an unsorted list of n numbers, he will use the following recursive searchMax algorithm to do the search: The algorithm divides an array of n elements into two halves; find the highest value of each half, then return the highest of the two to search the highest number of the entire list. Algorithm: searchMax (List[], startIdx, size) Begin int num10, num2 ← 0; if (size == 1) { return List[start]dx]; } num1 - searchMax (List[], startIdx, tartldx, [size]); size num2 + searchMax (List[], startIdx + [5¹2€, size - ze - [size]); if (num1 > num2) { return num1; } else { } End return num2; (i) Let T(n) be the running time of the recursively written search Max algorithm. Derive and express the recurrence relation that describes the running time of searchMax (List[], startIdx, size) as a function of n. (ii) Solve the recurrence equation T(n) to determine the upper bound complexity of the recursive searchMax() algorithm implemented in part (i).
Your lecturer is a funny guy; given an unsorted list of n numbers, he will use the following recursive searchMax algorithm to do the search: The algorithm divides an array of n elements into two halves; find the highest value of each half, then return the highest of the two to search the highest number of the entire list. Algorithm: searchMax (List[], startIdx, size) Begin int num10, num2 ← 0; if (size == 1) { return List[start]dx]; } num1 - searchMax (List[], startIdx, tartldx, [size]); size num2 + searchMax (List[], startIdx + [5¹2€, size - ze - [size]); if (num1 > num2) { return num1; } else { } End return num2; (i) Let T(n) be the running time of the recursively written search Max algorithm. Derive and express the recurrence relation that describes the running time of searchMax (List[], startIdx, size) as a function of n. (ii) Solve the recurrence equation T(n) to determine the upper bound complexity of the recursive searchMax() algorithm implemented in part (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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Please written by computer source
![Your lecturer is a funny guy; given an unsorted list of n numbers, he will use the following
recursive searchMax algorithm to do the search: The algorithm divides an array of n
elements into two halves; find the highest value of each half, then return the highest of
the two to search the highest number of the entire list.
Algorithm: searchMax(List[], startIdx, size)
Begin
int num10, num2 ← 0;
if (size == 1) {
return List[start]dx];
}
num1 ← searchMax (List[], startIdx,[size]);
size
num2 ← searchMax (List[], startIdx + [5¹2€], size -
ze - [size]);
if(num1 > num2) {
return num1;
}
else {
}
End
return num2;
(i) Let T(n) be the running time of the recursively written search Max algorithm. Derive
and express the recurrence relation that describes the running time of
searchMax (List], startIdx, size) as a function of n.
(ii) Solve the recurrence equation T(n) to determine the upper bound complexity of the
recursive searchMax() algorithm implemented in part (i).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5f5f862-a2d1-4362-b18a-d6c587e08392%2F5e90aba9-b578-4a58-b32c-1a78340a986b%2Fn675no_processed.png&w=3840&q=75)
Transcribed Image Text:Your lecturer is a funny guy; given an unsorted list of n numbers, he will use the following
recursive searchMax algorithm to do the search: The algorithm divides an array of n
elements into two halves; find the highest value of each half, then return the highest of
the two to search the highest number of the entire list.
Algorithm: searchMax(List[], startIdx, size)
Begin
int num10, num2 ← 0;
if (size == 1) {
return List[start]dx];
}
num1 ← searchMax (List[], startIdx,[size]);
size
num2 ← searchMax (List[], startIdx + [5¹2€], size -
ze - [size]);
if(num1 > num2) {
return num1;
}
else {
}
End
return num2;
(i) Let T(n) be the running time of the recursively written search Max algorithm. Derive
and express the recurrence relation that describes the running time of
searchMax (List], startIdx, size) as a function of n.
(ii) Solve the recurrence equation T(n) to determine the upper bound complexity of the
recursive searchMax() algorithm implemented in part (i).
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