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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.

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.

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: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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Dynamic Programming

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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.
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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