MCQ IN COMPUTER SCIENCE & ENGINEERING

COMPUTER SCIENCE AND ENGINEERING

ALGORITHMS

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
A linear search is to be performed on the list:12 6 8 1 3How many comparisons would it take to find number 1?
A
1
B
2
C
3
D
4
Explanation: 

Detailed explanation-1: -This means that as the number of values in a dataset increases, the performance time of the algorithm (the number of comparisons) increases as a function of the base-2 logarithm of the number of values. Example: Binary searching a list of 64 elements takes at MOST log2(64) = 6 comparisons to complete.

Detailed explanation-2: -T F The maximum number of comparisons performed by the linear search on an. array of N elements is N/2 (assuming the search values are consistently found).

Detailed explanation-3: -At the most, linear search algorithm takes n comparisons. In terms of implementation, linear search algorithm takes 2n+1 comparisons ( n to check if target element is found and n+1 comparisons to check if end of list is reached) in the worst case.

Detailed explanation-4: -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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