Two thieves have just stolen n objects with values 1 ≤ w1, . . . , wn ≤ M respectively. They want to split the loot fairly, i.e. find a set S ⊆ {1, . . . , not} with ∑i∈S wi as close as possible to ∑i /∈S wi. Give a complexity algorithm polynomial in n and in M

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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Two thieves have just stolen n objects with values 1 ≤ w1, . . . , wn ≤ M respectively.
They want to split the loot fairly, i.e. find a set S ⊆ {1, . . . , not}
with ∑
i∈S wi as close as possible to ∑
i /∈S wi. Give a complexity algorithm polynomial in n and in M

 

Two thieves have just stolen n objects with values 1 ≤ w1, . . . , wn ≤ M respectively.
They want to split the loot fairly, i.e. find a set S ⊆ {1, . . . , not}
with ∑i∈S wi as close as possible to ∑i /∈S wi. Give a complexity algorithm polynomial in n and in M
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