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Posted: **Sat May 14, 2022 7:26 pm**

: 8 10 Pts For Each Statement Below If The Statement Would Definitely Prove That Pnp Write P Np Next To The Statemen 1 (20.75 KiB) Viewed 30 times

: 8 10 Pts For Each Statement Below If The Statement Would Definitely Prove That Pnp Write P Np Next To The Statemen 2 (10.77 KiB) Viewed 30 times

: 8 10 Pts For Each Statement Below If The Statement Would Definitely Prove That Pnp Write P Np Next To The Statemen 3 (10.77 KiB) Viewed 30 times

8. (10 pts) For each statement below, if the statement would definitely prove that PNP, write "P=NP next to the statement. If the statement would definitely prove that P#NP. write "PANP" next to the statement. If the statement would not prove either result, write neither. No explanation is necessary. • There is deterministic polynomial-time algorithm for SAT There is a nondeterministic polynomial-time algorithm for SAT. . There is a language in NP that for any integer k, cannot be decided in time On!): . For any integer k, there is a language in NP that cannot be decided in time Only . Every t(n)-time single-tape nondeterministic TM can be converted into a time single-tape TM.

7. (10 pts) An independent set (InSet) in an undirected graph G - (V.E) is a subert V" SV with |V' = k, where no two vertices of Vire connected by an edge Lot In Set = {{G,K) is an undirected graph having an independent set of size k} Show that CLIQUE S, Inset