Given a set S of integers, we say that S can be partitioned if it can be split into two disjoint sets U and V whose sums are equal – in other words, we can take sets U a so that U U V = S, U n V = Ø, and Eueu u = Evey v. Let PARTITION ={ | S can be partitioned }. Show that PARTITION e NP by writing either a verifier or an NDTM. Show that PARTITION is NP-complete by reduction from SUBSET-SUM.
Given a set S of integers, we say that S can be partitioned if it can be split into two disjoint sets U and V whose sums are equal – in other words, we can take sets U a so that U U V = S, U n V = Ø, and Eueu u = Evey v. Let PARTITION ={ | S can be partitioned }. Show that PARTITION e NP by writing either a verifier or an NDTM. Show that PARTITION is NP-complete by reduction from SUBSET-SUM.
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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Transcribed Image Text:Given a set S of integers, we say that S can be partitioned if it can be split into two
disjoint sets U and V whose sums are equal – in other words, we can take sets U and V
so that U U V = S, U n V = Ø, and Eueu u = Evev v.
Let PARTITION = { <S> | S can be partitioned }.
Show that PARTITION e NP by writing either a verifier or an NDTM.
Show that PARTITION is NP-complete by reduction from SUBSET-SUM.
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