Binary Search Algorithm and Applications

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Which search algorithm divides a list in two halves from the middle on every iteration?

Sorted List

Linear Search

Binary Search (correct)

Sequential Searching

In terms of time complexity, which of the following statements is correct?

Binary Search has a time complexity of O(n)

Linear Search has a time complexity of O(log n)

Binary Search is more efficient than Linear Search for finding elements in large datasets (correct)

Linear Search is more efficient than Binary Search for large datasets

Which search algorithm is not mandatory for data structures that enable traversal in a single way?

Sorted List

Linear Search (correct)

Binary Search

Sequential Searching

What is the best case scenario for Linear Search?

When an element can be found in the first position of an array Signup and view all the answers

What is another name for Binary Search?

Half-interval search Signup and view all the answers

Which search algorithm is more complicated than Linear Search?

Binary Search Signup and view all the answers

What is a key difference between linear search and binary search?

Linear search performs equality comparisons, while binary search performs ordering comparisons. Signup and view all the answers

Which statement accurately describes the time complexity of linear search and binary search?

Linear search has a time complexity of O(n), while binary search has a time complexity of O(log n). Signup and view all the answers

In which type of array can linear search be performed?

Multidimensional array Signup and view all the answers

What makes binary search more complex compared to linear search?

Binary search performs ordering comparisons, which are more complex than equality comparisons in linear search. Signup and view all the answers

Which statement best describes the efficiency of linear and binary search?

Linear search is a very slow process, while binary search is very fast. Signup and view all the answers

What is the best-case scenario for linear and binary searches?

The best-case scenario for linear search is when the element being searched is at the end of the array, while for binary search it is when the element is in the middle. Signup and view all the answers

What is the time complexity of the Linear Search algorithm for an unsorted array of size N?

O(N) Signup and view all the answers

Which of the following statements about Binary Search is correct?

Binary Search has a time complexity of O(log N) for a sorted array of size N. Signup and view all the answers

Which of the following scenarios is best suited for using a Linear Search algorithm?

Searching for an element in a small, unsorted array. Signup and view all the answers

What is the best case time complexity of the Linear Search algorithm?

O(1) Signup and view all the answers

Which of the following statements is true about searching in a multidimensional array using Linear Search?

Linear Search can be used on multidimensional arrays, but it requires flattening the array into a single dimension first. Signup and view all the answers

In the context of searching algorithms, what is the primary advantage of Binary Search over Linear Search?

Binary Search has a better average case time complexity than Linear Search for large, sorted arrays. Signup and view all the answers