2. Consider the problem One-of-each 3SAT. This is the set of formulas which are sat- isfiable, in 3CNF and where at least one clause has exactly 1 true literal, at least one clause has exactly 2 true literals, at least one clause has exactly 3 true literals. Show that the One-of-each 3SAT problen is NP-complete.

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
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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2. Consider the problem One-of-each 3SAT. This is the set of formulas which are sat-
isfiable, in 3CNF and where at least one clause has exactly 1 true literal, at least one
clause has exactly 2 true literals, at least one clause has exactly 3 true literals.
Show that the One-of-each 3SAT problen is NP-complete.
Transcribed Image Text:2. Consider the problem One-of-each 3SAT. This is the set of formulas which are sat- isfiable, in 3CNF and where at least one clause has exactly 1 true literal, at least one clause has exactly 2 true literals, at least one clause has exactly 3 true literals. Show that the One-of-each 3SAT problen is NP-complete.
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