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Complexity theory classifies computational problems by difficulty from "summary" of Code by Charles Petzold

Complexity theory deals with how difficult it is to compute a solution to a problem. It's not just about whether a problem can be solved by a computer, but also about how much time and resources are needed to find a solution. In complexity theory, problems are classified according to how much time it takes to solve them. The time complexity of a problem is often expressed in terms of the number of steps a computer needs to take to solve it. The classification of computational problems by difficulty is important because it helps us understand the limits of what can be computed efficiently. Some problems may be so difficult that it would take an unreasonable amount of time to find a solution. Complexity theory helps us identify these problems so that we can focus our efforts on finding efficient solutions to more tractable problems. Complexity theory al...
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    Charles Petzold

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