In which of these data structures is binary search possible?A linked list with items in sorted order.A queue with items in sorted order from the head to the tail of the queueA stack with items in sorted order from the bottom to the top of the stackAn array with items in sorted order.
Question
In which of these data structures is binary search possible?A linked list with items in sorted order.A queue with items in sorted order from the head to the tail of the queueA stack with items in sorted order from the bottom to the top of the stackAn array with items in sorted order.
Solution
Binary search is possible in the following data structures:
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An array with items in sorted order: Binary search works by dividing the array into two halves and then checking if the middle element is less than, equal to, or greater than the value to be searched. If the middle element is less than the value, then the search continues on the right half of the array. If it's greater, the search continues on the left half. This process continues until the value is found or the array is empty. This is only possible if the array is sorted.
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A linked list with items in sorted order: While binary search is technically possible on a sorted linked list, it is not efficient. This is because accessing the middle element of a linked list requires traversing from the head node to the middle node, which takes O(n) time. Therefore, while it's possible, it's not commonly used.
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A queue with items in sorted order from the head to the tail of the queue: Binary search is not possible in a queue, even if it is sorted. This is because a queue is a FIFO (First In, First Out) data structure, meaning you can only access the element at the front of the queue. To perform a binary search, you need to be able to access any element in the data structure, not just the one at the front.
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A stack with items in sorted order from the bottom to the top of the stack: Similar to a queue, a stack is a LIFO (Last In, First Out) data structure, meaning you can only access the element at the top of the stack. Therefore, binary search is not possible in a stack, even if it is sorted.
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