MCQ IN COMPUTER SCIENCE & ENGINEERING

COMPUTER SCIENCE AND ENGINEERING

DATA STRUCTURES

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The maximum time taken by linear search algorithm when
A
Search element is in the middle of an array
B
Search element is present as the first item
C
Search element is the maximum of all items
D
Search element is present as the last item
Explanation: 

Detailed explanation-1: -Best Case Complexity-In Linear search, best case occurs when the element we are finding is at the first position of the array. The best-case time complexity of linear search is O(1). Average Case Complexity-The average case time complexity of linear search is O(n).

Detailed explanation-2: -Linear Search Runtime The Linear Search algorithm has a Big-O (worst case) runtime of O(N). This means that as the input size increases, the speed of the performance decreases linearly. This makes the algorithm not efficient to use for large data inputs.

Detailed explanation-3: -So, the time complexity will be O(N) (the constant being ignored). The Worst Case occurs when the target element is the last element in the array or not in the array. In this case, we have to traverse the entire array, and so the number of comparisons will be N. So, the time complexity will be O(N) .

Detailed explanation-4: -Therefore, for a 1000-element array, binary search would require at most 10 guesses.

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