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1ST  Solution  :


For the given scenario Binary Search algorithm is most suitable.

Binary search is a search algorithm that finds the position of a

target value within a sorted array. Binary search compares the

target value to the middle element of the array. If they are not

equal, the half in which the target cannot lie is eliminated and the search continues on the remaining half, again taking the middle element to compare to the target value, and repeating this until the target value is found.

Reasons:

Binary search is more efficient than linear search. as it searches

the item by comparing it with the middle element. So, Binary

search takes minimum time to search an element than a linear

search (or sequential search) it has a time complexity of O(log n).

At each iteration, the binary search algorithm eliminates half of

the list and significantly reduces the search space. Binary search

is faster as compared to linear search especially for larger data

sets.


SOLUTION: 02

Solution:

As for the given scenario most suitable algorithm is Binary Search Algorithm:

Reason:

Binary Search is more efficient than linear search. As it searches the item by comparing it with the middle element.

So, Binary search takes minimum time to search an element than a linear search or sequential search it as a time complexity of (log n).

At each iteration, the binary search algorithm eliminate half of the list and significantly reduces the search space.

Binary search is faster as compared to linear search especially for larger data sets.


3RD SOLUTION:

According to the given scenario Binary search is most suitable for an XYZ university.

Because:

In binary search method the element that has to be searched is compared to the array middle element. Search is considered successful only if it match the target. The binary search is used divide and conquer approach, it does not scan every element in the list, it only searches half of the list instead of going through each element. Binary search performs ordering comparisons whereas Linear search performs equality comparison. Binary search is more faster as compare to linear search. Binary search is more efficient than the linear search in the case of large data sets.

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