Given a sorted array of integers, what can be the minimum worst case time complexity to find ceiling of a number x in given array? Ceiling of an element x is the smallest element present in array which is greater than or equal to x. Ceiling is not present if x is greater than the maximum element present in array. Group of answer choicesO(LogN*LogN)O(LogN)O(LogLogn)O(N)
Question
Given a sorted array of integers, what can be the minimum worst case time complexity to find ceiling of a number x in given array? Ceiling of an element x is the smallest element present in array which is greater than or equal to x. Ceiling is not present if x is greater than the maximum element present in array. Group of answer choicesO(LogN*LogN)O(LogN)O(LogLogn)O(N)
Solution
The minimum worst case time complexity to find the ceiling of a number x in a given sorted array of integers is O(LogN).
Here's why:
-
Since the array is sorted, we can use a binary search algorithm to find the ceiling of x.
-
In binary search, we first compare x with the middle element of the array.
-
If x matches with the middle element, we return the middle element.
-
If x is greater than the middle element, then x can only lie in the right
Similar Questions
What is the worst-case order of complexity for an algorithm that does the following: Finding the first occurrence of a given target in an integer array.Question 1Select one:a.O(n)b.O(log n)c.O(n log n)d.O(n2)
Consider an array A with N elements. Which of the following algorithms has the BEST time complexity for finding the minimum element in A? Bubble sort. Linear search. Selection sort. Insertion sort.
What is the time complexity of searching for an element in an unsorted array of size n?O(n)O(1)O(log(n))O(nlog(n))O(2^n)O(n!)O(n^2)
What is the worst-case time complexity of searching for an element in a balanced binary search tree in the worst case?Group of answer choicesO(1)O(n^2)O(n)O(log n)
What is the worst-case time complexity of searching an element in a Binary Search Tree?O(1)O(log n)O(n)O(n log n)
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.