If the array contains duplicate elements, which index will binary search return for the key?
Question
If the array contains duplicate elements, which index will binary search return for the key?
Solution
Binary search is an algorithm used for finding the position of a target value within a sorted array. It compares the target value to the middle element of the array; if they are unequal, the half in which the target cannot lie is eliminated and the search continues on the remaining half, again taking the middle element to compare to the target value, and repeating this until the target value is found. If the search ends with the remaining half being empty, the target is not in the array.
In the case of an array with duplicate elements, the index that binary search returns can vary. This is because binary search does not necessarily return the first occurrence of the target value in the array. It returns the position of some occurrence of the target value, which could be any of the duplicates depending on how the search proceeds.
For example, consider the sorted array [1, 2, 2, 2, 3, 4, 5] and we want to find the index of 2. The binary search could return the index of any of the three 2's in the array, depending on the exact path the search takes.
If you want to ensure that you always get the first occurrence of the target value, you would need to modify the binary search algorithm to keep track
Similar Questions
In which case does the binary search algorithm perform the worst? Question 17Select one: When the array contains duplicate elements When the element is not present in the array When the array is already sorted When the element is at the middle of the array
What happens if the search key is not present in the array in a Binary Search algorithm?The algorithm returns the closest value.The algorithm returns 1 or an equivalent value.The algorithm keeps searching indefinitely.The algorithm returns the last element.
What is the main requirement for applying binary search?a.The array must have duplicate elements.b.The array must have unique elements.c.The array must be sorted in ascending order.d.The array must be sorted in descending order.
How does the binary search work? a. Divides an array into two smaller subarrays and applies a linear search to each of them b. None of the above c. Compares each second element with a key recursively d. Recursively goes to the left or right subarrays and compares a key with the middle e. Compares each element with a key starting from 0`s element till the last element iteratively
Select the correct statements among the following In the presence of duplicate elements in a list, binary search always finds the first occurrence of the element in the list In the presence of duplicate elements in a list, binary search may or may not find the first occurrence of the element in the list In the presence of duplicate elements in a list, the existing binary search algorithm with minor modifications can be used to find the first occurrence of the target element in the list In the presence of duplicate elements in a list , the existing binary search can be used to find any kth(k can be any number from 1 to number of times the element has been repeated) of target element in the list
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