Java - Introduction to Programming Lecture 8 Time & Space Complexity Time complexity of an algorithm quantifies the amount of time taken by an algorithm to run as a function of the length of the input. Types of notations :- 1. O-notation: It is used to denote asymptotic upper bound. For a given function g(n), we denote it by O(g(n)). Pronounced as “big-oh of g of n”. It is also known as worst case time complexity as it denotes the upper bound in which the algorithm terminates. 2. Ω-notation: It is used to denote asymptotic lower bound. For a given function g(n), we denote it by Ω(g(n)). Pronounced as “big-omega of g of n”. It is also known as best case time complexity as it denotes the lower bound in which the algorithm terminates. 3. 𝚯-notation: It is used to denote the average time of a program. Examples : Linear Time Complexity. O(n) Comparison of functions on the basis of time complexity It follows the following order in...
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