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What is Big O in datastructures and algorithms?
I want to know about the importance of Big O in writing algorithms. And what is meant by checking the efficiency of a program by using Big O.
The Big O notation defines an upper bound of an algorithm, it bounds a function only from above. For example, consider the case of Insertion Sort. It takes linear time in best case and quadratic time in worst case. We can safely say that the time complexity of Insertion sort is O(n^2). Note that O(n^2) also covers linear time.
The Big-O Asymptotic Notation gives us the Upper Bound Idea, mathematically described below:
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