P Versus NP Problem

The P versus NP problem is one of the most important open problems in computer science and mathematics. It asks whether every problem whose solution can be quickly verified by a computer can also be quickly solved by a computer. In other words, it asks whether P = NP. If P = NP, then it would be possible to solve many important problems in computer science and other fields much more quickly than is currently possible. However, if P ≠ NP, then there are problems that are fundamentally difficult to solve, and new algorithms and techniques will be needed to make progress on these problems.

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P Versus NP Problem

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