Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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Dynamic Programming

108_2_B_1

 

1.
The subset sum problem is stated as follows:
Given a set S
{a, a, a, a,} of n positive integers and an integer target t> 0,
determine whether there exists a subset S' of S whose elements sum to t.
(1) Use dynamic programming technique to solve the subset sum problem.
(Write the object function, recursive relation, initial condition, and the answer.
Give the time and space complexity of your algorithm.)
(2) Is your algorithm a polynomial time algorithm? Explain.
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Transcribed Image Text:1. The subset sum problem is stated as follows: Given a set S {a, a, a, a,} of n positive integers and an integer target t> 0, determine whether there exists a subset S' of S whose elements sum to t. (1) Use dynamic programming technique to solve the subset sum problem. (Write the object function, recursive relation, initial condition, and the answer. Give the time and space complexity of your algorithm.) (2) Is your algorithm a polynomial time algorithm? Explain.
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