Let S = (a1a2; : : : an) be a sequence of integers. Design an algorithm to  nd the subsequence SM = (ai; ai+1; : : : ; aj) of S, with consecutive elements, such that the sum of the numbers in SM is maximum over all subsequences of S. Note that the sum is assumed to be 0 if the subsequence is empty. Your algorithm should run in O(n) time

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 S = (a1a2; : : : an) be a sequence of integers. Design an algorithm to  nd the
subsequence SM = (ai; ai+1; : : : ; aj) of S, with consecutive elements, such that the sum of the
numbers in SM is maximum over all subsequences of S. Note that the sum is assumed to be
0 if the subsequence is empty. Your algorithm should run in O(n) time.

[10pts] Let S
subsequence SM = (ai, ai+1, ..
numbers in SM is maximum over all subsequences of S. Note that the sum is assumed to be
O if the subsequence is empty. Your algorithm should run in O(n) time.
(a1a2, ... an) be a sequence of integers. Design an algorithm to find the
., a;) of S, with consecutive elements, such that the sum of the
Transcribed Image Text:[10pts] Let S subsequence SM = (ai, ai+1, .. numbers in SM is maximum over all subsequences of S. Note that the sum is assumed to be O if the subsequence is empty. Your algorithm should run in O(n) time. (a1a2, ... an) be a sequence of integers. Design an algorithm to find the ., a;) of S, with consecutive elements, such that the sum of the
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