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With each comparison, a binary search eliminates approximately half of the items remaining in the search pool. A. True B. False

Question

With each comparison, a binary search eliminates approximately half of the items remaining in the search pool.

A. True
B. False

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Solution

Answer

The statement is A. True.

Explanation

In a binary search algorithm, the search space is divided into two halves with each comparison. The process involves checking the middle element of a sorted array or list, and depending on whether the target value is larger or smaller than the middle element, the search continues in the appropriate half. This characteristic allows binary search to significantly reduce the number of items being considered, leading to a more efficient search process compared to linear search methods. By consistently halving the search pool, binary search achieves a time complexity of O(logn)O(\log n), which is much faster for large datasets than the linear time complexity of O(n)O(n) associated with simple search methods.

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