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Questions and Answers
What is the term used for problems that do not have any polynomial-time algorithm?
What is the term used for problems that do not have any polynomial-time algorithm?
In the context of algorithms, what does 'nlogn' refer to?
In the context of algorithms, what does 'nlogn' refer to?
What is the order of algorithm that should be reduced if it is above or equal to n^3?
What is the order of algorithm that should be reduced if it is above or equal to n^3?
What is the growth-rate function represented by O(n^2)?
What is the growth-rate function represented by O(n^2)?
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Study Notes
Algorithm Complexity
- NP-hard problems are those that do not have any polynomial-time algorithm.
- 'nlogn' refers to a time complexity where the running time grows linearly with the size of the input, but with an additional logarithmic factor.
- Algorithms with a time complexity above or equal to n^3 should have their order reduced to improve performance.
- The growth-rate function O(n^2) represents a quadratic time complexity, where the running time grows quadratically with the size of the input.
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Description
This quiz covers topics related to algorithm complexity, including the order of algorithms, polynomial orders, reducing running time, NP-hard and NP-complete problems, and growth-rate functions. It also introduces formalism for NP-hard and NP-complete problems.