Given an array A[1…n] of numeric values (can be positive, zero, and negative) determine the subarray A[i…j] (1≤ i ≤ j ≤ n) whose sum of elements is maximum over all subvectors. Below is a brute-force algorithm. Analyze its best case, worst case and average case time complexity in terms of a polynomial of n and the asymptotic notation of ɵ. You need to show the steps of your analysis.
Given an array A[1…n] of numeric values (can be positive, zero, and negative) determine the subarray A[i…j] (1≤ i ≤ j ≤ n) whose sum of elements is maximum over all subvectors. Below is a brute-force algorithm. Analyze its best case, worst case and average case time complexity in terms of a polynomial of n and the asymptotic notation of ɵ. You need to show the steps of your analysis.
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Given an array A[1…n] of numeric values (can be positive, zero, and negative) determine the subarray A[i…j] (1≤ i ≤ j ≤ n) whose sum of elements is maximum over all subvectors. Below is a brute-force
![MAX-SUBARRAY-BRUTE-FORCE (A)
n = A.length
max-so-far
88
for 1 to n
sum = 0
for h=1 to n
sum = sum + A[h]
if sum > max-so-far
max-so-far sum
low = 1
high = h
return (low, high)
=](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F032de2f6-d35c-4a3a-a9a2-daefbabd8c32%2F77516309-1a23-46fe-ac0e-1a143842803b%2Fkdsfv87_processed.png&w=3840&q=75)
Transcribed Image Text:MAX-SUBARRAY-BRUTE-FORCE (A)
n = A.length
max-so-far
88
for 1 to n
sum = 0
for h=1 to n
sum = sum + A[h]
if sum > max-so-far
max-so-far sum
low = 1
high = h
return (low, high)
=
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