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P Np Venn Diagram

The informal term quickly used above means the existence of an algorithm solving the task that runs in polynomial time such that the time to complete the task. Now here is the venn diagram representation of the same.

P Vs Np Algorithm Problem Types Dev Community

So the p vs np problem is just asking if these two problem types are the same or if they are different ie.

Pnp

Simpsons P Vs Np

P Np Diagram

P Versus Np Problem Wikipedia