Let (a1....an) be a sequence of distinct numbers some of which maybe negative. For ≤ i ≤j≤n, consider the sum Sijai+...+aj a) What is the running time of a brute force algorithm to calculate max Sij? b) Give an efficient algorithm to find the above maximum. In addition to giving the algorithm, describe the efficiency of your algorithm clearly.

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
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Let
(a1,...an) be a sequence of distinct numbers some of which maybe negative. For ≤ i ≤j≤n, consider the sum
Sij = a₁ +.... taj
a) What is the running time of a brute force algorithm to calculate max Sij?
b) Give an efficient algorithm to find the above maximum. In addition to giving the algorithm, describe the efficiency of your algorithm clearly.
Transcribed Image Text:Let (a1,...an) be a sequence of distinct numbers some of which maybe negative. For ≤ i ≤j≤n, consider the sum Sij = a₁ +.... taj a) What is the running time of a brute force algorithm to calculate max Sij? b) Give an efficient algorithm to find the above maximum. In addition to giving the algorithm, describe the efficiency of your algorithm clearly.
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