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What is Polynomial Time Algorithms in NP about?

This document discusses three polynomial time algorithms for NP-complete problems if P=NP: 1. A satisfiability algorithm that tries variable assignments and keeps the satisfying assignment. 2. A factoring algorithm that uses binary search to find factors of a number in polynomial time. 3. A matching algorithm that maps variables in satisfiable clauses to true/false using max cardinality matching on a bipartite graph in polynomial time.

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