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DAA | Complexity Classes
DAA | Complexity Classes with daa tutorial, introduction, Algorithm, Asymptotic Analysis, Control Structure, Recurrence, Master Method, Recursion Tree Method, Sorting Algorithm, Bubble Sort, Selection Sort, Insertion Sort, Binary Search, Merge Sort, Counting Sort, etc.
Complexity ClassesDefinition of NP class Problem: - The set of all decision-based problems came into the division of NP Problems who can't be solved or produced an output within polynomial time but verified in the polynomial time. NP class contains P class as a subset. NP problems being hard to solve. Note: - The term "NP" does not mean "not polynomial." Originally, the term meant "non-deterministic polynomial. It means according to the one input number of output will be produced.Definition of P class Problem: - The set of decision-based problems come into the division of P Problems who can be solved or produced an output within polynomial time. P problems being easy to solve Definition of Polynomial time: - If we produce an output according to the given input within a specific amount of time such as within a minute, hours. This is known as Polynomial time. Definition of Non-Polynomial time: - If we produce an output according to the given input but there are no time constraints is known as Non-Polynomial time. But yes output will produce but time is not fixed yet. Definition of Decision Based Problem: - A problem is called a decision problem if its output is a simple "yes" or "no" (or you may need this of this as true/false, 0/1, accept/reject.) We will phrase many optimization problems as decision problems. For example, Greedy method, D.P., given a graph G= (V, E) if there exists any Hamiltonian cycle. Definition of NP-hard class: - Here you to satisfy the following points to come into the division of NP-hard
Definition of NP-complete class: - A problem is in NP-complete, if
Pictorial representation of all NP classes which includes NP, NP-hard, and NP-complete 
Fig: Complexity Classes
Next TopicPolynomial Time Verification
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