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Difference between NP hard and NP complete problem - GeeksforGeeks

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NP Problem: The NP problems set of problems whose solutions are hard to find but easy to verify and are solved by Non-Deterministic Machine in polynomial time. NP-Hard Problem: A Problem X is NP-Hard if there is an NP-Complete problem Y, such that Y is reducible to X in polynomial time. NP-Hard problems are as hard as NP-Complete problems. NP-Hard Problem need not be in NP class. If every problem of NP can be polynomial time reduced to it called as NP Hard. A lot of times takes the particular problem solve and reducing different problems. example : NP-Complete Problem: A problem X is NP-Complete if there is an NP problem Y, such that Y is reducible to X in polynomial time. NP-Complete problems are as hard as NP problems. A problem is NP-Complete if it is a part of both NP and NP-Hard Problem. A non-deterministic Turing machine can solve NP-Complete problem in polynomial time. A problem is np-complete when it is both np and np hard combines together. this means np complete problems c

Difference between NP hard and NP complete problem - GeeksforGeeks Courses Tutorials Interview Prep DSA Practice Problems C C++ Java Python JavaScript Data Science Machine Learning Courses Linux DevOps Difference between NP hard and NP complete problem Last Updated : 25 Feb, 2025 All NP Complete Problems are NP-Hard but vice versa is not true. NP-Complete problems are subset of NP Problems. NP Problems : NP problems are a class of computational problems that can be solved in polynomial time by a non-deterministic machine and can be verified in polynomial time by a deterministic Machine (our CP

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