More NP-Complete Problems. NP-Hard Problems Tautology Problem Node Cover Knapsack. Next Steps. We can now reduce 3-SAT to a large number of problems, either directly or indirectly. Each reduction must be polytime.
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For the i-th clause
(x + y + z)(x + -y + -z)
SolutionReduction of Knapsack-With-Target to Partition-Knapsack