Time Complexity of Searching an Element in a Sorted Array using Binary Search Algorithm
When searching for an element in a sorted array using the binary search algorithm, the time complexity can be expressed as O(log n), where 'n' represents the number of elements in the array. This means that the algorithm's efficiency in finding the desired element increases logarithmically with the size of the array.
Binary search is a powerful and efficient algorithm for locating elements in a sorted array as it continuously divides the search interval in half until the element is found or the interval is empty. This divide-and-conquer strategy allows binary search to achieve a time complexity of O(log n), making it a preferred choice for searching operations on sorted data structures.
Overall, understanding the time complexity of binary search can help optimize searching operations in large and sorted arrays, leading to faster and more efficient retrieval of elements.
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