cellular automata and p versus np problem

Cellular automata are mathematical models composed of a grid of cells, each following a set of rules based on the state of their neighboring cells. They are used to simulate complex systems, such as biological or physical processes. The P versus NP problem is a fundamental question in computer science that asks whether every problem for which a solution can be quickly verified by a computer can also be solved quickly. The distinction between problems that can be solved efficiently (P) and those that cannot (NP) has implications for encryption, optimization, and algorithmic efficiency.

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