- Big O notation: definition and examples.
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One place where you might have heard about O log n time complexity the first time is Binary search algorithm. So there must be some type of behavior that algorithm is showing to be given a complexity of log n. Let us see how it works. Since binary search has a best case efficiency of O 1 and worst case average case efficiency of O log n , we will look at an example of the worst case. Consider a sorted array of 16 elements.
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You can see that after every comparison with the middle term, our searching range gets divided into half of the current range. A type of behavior nothing else can represent.
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Well, i hope the idea of it is clear in your mind. When working in the field of computer science, it is always helpful to know such stuff and is quite interesting too.
Good luck! The first line contains an integer, , denoting the number of integers to check for primality. Each of the subsequent lines contains an integer, , the number you must test for primality. For each integer, print whether is Prime or Not prime on a new line.
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