Your reduction must use one of these known NP-Complete probl…

Questions

Yоur reductiоn must use оne of these known NP-Complete problems: SAT, 3SAT, Clique, Independent Set (IS), Vertex Cover (VC), Subset Sum (SSS), Rudrаtа Pаth, Rudrata (s, t)-Path, Rudrata Cycle, Integer Linear Programming (ILP), Zero-One Equations (ZOE), 3D Matching, Traveling Salesman Problem (TSP). Consider the k-sol-SAT problem: Input: A boolean formula f in CNF form with n variables and m clauses, and an integer k such that n ≥ k ≥ 2.Output: k distinct assignments of variables such that f evaluates to true, or return NO if k such assignments do not exist. Prove that k-sol-SAT is NP-complete.   Your reduction must use one of these known NP-Complete problems: SAT, 3SAT, Clique, Independent Set (IS), Vertex Cover (VC), Subset Sum (SSS), Rudrata Path, Rudrata (s, t)-Path, Rudrata Cycle, Integer Linear Programming (ILP), Zero-One Equations (ZOE), 3D Matching, Traveling Salesman Problem (TSP).