MCQ IN COMPUTER SCIENCE & ENGINEERING

COMPUTER SCIENCE AND ENGINEERING

ALGORITHMS

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
If the length of the list is 100 times longer, the search will probably on average take 100 times longer to complete.This is true using a:
A
linear search
B
binary search
C
Either A or B
D
None of the above
Explanation: 

Detailed explanation-1: -A linear search runs in at worst linear time and makes at most n comparisons, where n is the length of the list. If each element is equally likely to be searched, then linear search has an average case of n+12 comparisons, but the average case can be affected if the search probabilities for each element vary.

Detailed explanation-2: -Linear search runs in linear time and makes a maximum of n comparisons, where n is the length of the list. Hence, the computational complexity for linear search is O(N). The running time increases, at most, linearly with the size of the items present in the list.

Detailed explanation-3: -Time complexity for linear search is denoted by O(n) as every element in the array is compared only once. In linear search, best-case complexity is O(1) where the element is found at the first index. Worst-case complexity is O(n) where the element is found at the last index or element is not present in the array.

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