Question

Suppose a new polynomial time algorithm is discovered that solves 3-SAT. In this scenario, which one of the Figure 1 represents the correct Venn diagram of the complexity classes P, NP and NP Complete (NPC)? (A) (B) NP P NP P NPC NPC (C) (D) P=NP NPC (A) (B) (C) (D) P=NP=NPC

          Suppose a new polynomial time algorithm is discovered that solves 3-SAT. In this scenario, which one of the Figure 1 represents the correct Venn diagram of the complexity classes P, NP and NP Complete (NPC)?
(A)
(B)
NP
P
NP
P
NPC
NPC
(C)
(D)
P=NP
NPC
(A)
(B)
(C)
(D)
P=NP=NPC

Suppose a new polynomial time algorithm is discovered that solves 3-SAT. In this scenario, which one of the Figure 1 represents the correct Venn diagram of the complexity classes P, NP and NP Complete (NPC)?
(A)
(B)
NP
P
NP
P
NPC
NPC
(C)
(D)
P=NP
NPC
(A)
(B)
(C)
(D)
P=NP=NPC

Added by Pamela O.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert James Kiss

02/20/2023

Step 1

P is the class of decision problems that can be solved in polynomial time, NP is the class of decision problems for which a given solution can be verified in polynomial time, and NPC is the class of the hardest problems in NP, meaning that if any NPC problem can Show more…

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Suppose a new polynomial time algorithm is discovered that solves 3-SAT. In this scenario, which one of the Figure 1 represents the correct Venn diagram of the complexity classes P, NP and NP Complete (NPC)? (A) (B) (C) (D) (A) (B) (C) (D) Suppose a new polynomial time algorithm is discovered that solves 3-SAT.In this scenario.which one of the Figure 1 represents the correct Venn diagram of the complexity classes P,NP and NP Complete(NPC)? (A) (B) NP NP P NPC NPC (C) (D) P=NP P=NP=NPC NPC A) B O(C ?(D)