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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?
- NP-easy
- NP-hard (correct)
- NP-quick
- NP-simple
In the context of algorithms, what does 'nlogn' refer to?
In the context of algorithms, what does 'nlogn' refer to?
- Exponential time complexity
- Linear time complexity
- Logarithmic time complexity (correct)
- Quadratic time complexity
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?
- n2
- 2n
- nlogn
- n3 (correct)
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.
