Algorithms Analysis Practice Test 2025 - Free Algorithms Practice Questions and Study Guide

Iterative algorithms often demonstrate lower space complexity than their recursive counterparts due to the nature of how they manage memory. In iterative solutions, the algorithm typically utilizes a single loop and maintains a limited amount of variables for state management, resulting in a constant space requirement.

In contrast, recursive algorithms require additional memory for each recursive call that is made. Each time a function is called, a new frame is added to the call stack to store parameters and local variables. This can lead to significant memory usage, especially in cases of deep recursion where many function calls are stacked on top of one another.

Thus, option C highlights an important aspect of algorithm design: the space utilization is generally more efficient in iterative approaches due to their minimal memory footprint, whereas recursive implementations can lead to increased memory usage as the depth of recursion increases. This distinction is crucial for developers, especially in environments with limited resources.