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Module33-NPIntroduction duration 23 minutes 14 seconds Module33-NPIntroduction Module33-NPIntroduction	Module33-NPIntroduction problem np input problems path pi hardness computation algorithm complexity class nodes certificate node p. result instance tree clique question From Eric Torng 35 plays 0
Proving that Integer Programming is NP-Complete duration 9 minutes 2 seconds Proving that Integer Programming is NP-Complete Proving that Integer Programming is NP-Complete	Proving that Integer Programming is NP-Complete integer programming problem variables function np satisfiability constraints v2 input fact values thing inequality instances unsatisfiability problems v1 integers instance From Emily Dolson 944 plays 0
Proving NP Completeness duration 19 minutes 57 seconds Proving NP Completeness Proving NP Completeness	Proving NP Completeness problem clauses satisfiability clause problems variables hull convex input solution instance np length log points n. variable function answer reduction From Emily Dolson 303 plays 0
P, NP, and NP-Complete Problems duration 14 minutes 41 seconds P, NP, and NP-Complete Problems P, NP, and NP-Complete Problems	P, NP, and NP-Complete Problems problem problems np decision solution certificate vertices graph optimization algorithm things lot answer weight knapsack instance complexity diagram salesperson node From Emily Dolson 430 plays 0