Exploring Binary Search Techniques

What is the time complexity of the binary search algorithm?

• O(1)

• O(n log n)

• O(n)

• O(log n)

Explain the basic principle behind the binary search algorithm.

• The basic principle of binary search is to divide the search interval in half repeatedly, comparing the target value to the middle element of the array.

• The binary search algorithm checks every element in the array sequentially.

• Binary search requires the array to be unsorted for it to work effectively.

• The algorithm only works with integer values and cannot be applied to strings.

How does a recursive binary search function work?

• It searches the entire array sequentially until the target is found.

• It only checks the first element of the array for the target.

• It sorts the array before searching for the target.

• A recursive binary search function divides the search space in half, comparing the target to the middle element and recursively searching the appropriate half.

What are the advantages of using recursive binary search?

• Faster execution time than iterative search

• Advantages of using recursive binary search include cleaner code, easier problem division, and intuitive implementation.

• Better suited for unsorted data

• More memory usage compared to linear search

What are the disadvantages of recursive binary search?

• Lower memory usage than iterative methods

• Guaranteed faster performance than iterative methods

• Disadvantages of recursive binary search include higher memory usage, risk of stack overflow, and slower performance compared to iterative methods.

• No risk of stack overflow

Describe how iterative binary search differs from recursive binary search.

• Iterative binary search requires more memory than recursive binary search.

• Iterative binary search uses loops, while recursive binary search uses function calls.

• Recursive binary search uses loops, while iterative binary search uses function calls.

• Iterative binary search is faster than recursive binary search.

What is the time complexity of iterative binary search?

• O(log n)

• O(n)

• O(1)

• O(n log n)

In which scenarios is binary search applicable?

• Binary search is applicable in sorted arrays or lists.

• Binary search is effective for searching in trees.

• Binary search can be used for linked lists.

• Binary search is applicable in unsorted arrays.

How does binary search improve efficiency over linear search?

• Binary search is more efficient than linear search because it reduces the search space exponentially, achieving O(log n) time complexity.

• Binary search can only be used on unsorted data.

• Binary search checks each element one by one like linear search.

• Binary search has a time complexity of O(n) which is slower than linear search.

What is the space complexity of the recursive binary search?

• O(n log n)

• O(log n)

• O(n)

• O(1)