Which of the following case a linear search and worst case behaviour?a)A searching element is at beginning of the array.b)A searching element is at center of the array.c)A searching element is not present in the array.d)A searching element is at before end of the array.Correct answer is option 'C'. Can you explain this answer?

Question

Answer

Concept:
Linear search:
A linear search, often known as a sequential search, is a technique for locating an element in a list. It systematically verifies each element of the list until a match is discovered or the entire list has been searched.
Algorithm:
linear_search(int a[], int n, int X)
{
for (int i = 0; i < n; i++)
{
if (a[i] == X)
return i+1;
}
}

Explanation:
Worst-case:
In the Linear Search Algorithm, the worst-case scenario happens when the item to be found is at the end of the Array or the element is not present in the array. Hence the linear search compares each element till the end. So it takes maximum time behavior in linear search.

Best case:
The best case in the Linear Search Algorithm happens when the item to be found is at the beginning of the Array.

Average case:
In the Linear Search Algorithm, the average scenario happens when the item to be found is somewhere in the center of the Array.

Hence the correct answer is a searching element is not present in the array.

Answer

Linear Search:
Linear search is a simple searching algorithm that sequentially checks each element in a list until a match is found or the end of the list is reached. It is also considered as the simplest form of searching algorithm.

Worst Case Behaviour:
The worst case behavior of an algorithm refers to the scenario where the algorithm takes the maximum amount of time or resources to complete its execution. In the case of linear search, the worst case behavior occurs when the element being searched is not present in the array.

Explanation:
When the searching element is not present in the array, the linear search algorithm will have to compare the element with each element in the array until it reaches the end. In this scenario, the algorithm will have to iterate through the entire array before determining that the element is not present. Hence, the worst case behavior of a linear search occurs when the element is not found.

Example:
Let's consider an example to illustrate this. Suppose we have an array of integers [1, 2, 3, 4, 5] and we want to search for the element 6. In this case, the linear search algorithm will start from the first element and compare it with each element until it reaches the end of the array. Since 6 is not present in the array, the algorithm will have to iterate through all the elements before determining that the element is not found. Therefore, this scenario represents the worst case behavior of a linear search.

Conclusion:
In conclusion, when the searching element is not present in the array, a linear search algorithm will have to iterate through the entire array before determining that the element is not found. This scenario represents the worst case behavior of a linear search algorithm.

Similar Humanities/Arts Doubts

Which of the following behaviour takes smallest time in linear serach ?

Consider an array has 10 elements and the searching element is at array index 6. A starting element is present at index zero. How many comparisons are required to search an element using linear search?

Which of the following is true about linear search?Statement 1: linear search is used for an unsorted and unordered small list of elements.Statement 2: If the searching element is found in the middle of the array, linear search compares the elements till the end of the array.

Consider the following array a[ ] with n elements and searching element 16 and the linear search is comparing the elements from index n-1.a[6]= {15, 87, 20, 16, 9, 11} Here n=6How many comparisons are required to search a searching element 16 by using linear search?

Consider the following array A, and the searching element is X. How many comparisons are required to search an element X in array A.A[ ]= {25, 45, 87, 21, 18, 49, 13, 115, 83, 65}X = 83

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