Why is recursive binary search worse and why is iterative binary search better?

Recursive binary search is worse than iterative for several reasons:

• Function call overhead: Each recursive call adds a new frame to the call stack, increasing memory usage and execution time.
• Risk of stack overflow: With very large arrays or deep recursion, stack overflow can occur.

Iterative binary search uses a loop and does not require additional stack memory, making it more efficient and safer.

Example of iterative binary search in Python:

def binary_search(arr, target):
    left, right = 0, len(arr) - 1
    while left <= right:
        mid = (left + right) // 2
        if arr[mid] == target:
            return mid
        elif arr[mid] < target:
            left = mid + 1
        else:
            right = mid - 1
    return -1

Therefore, the iterative approach is preferable for binary search in terms of performance and reliability.