Question

Comparing performance of DP, Recursion, and Iteration methods. Consider the following iterative solution of the Fibonacci problem:

A) Dynamic Programming (DP)
B) Recursion
C) Iteration
D) None of the above

Answer 1

The question asks to identify which method (DP, recursion, iteration) is used in an unspecified iterative solution for the Fibonacci problem. Without the specific solution, an accurate answer cannot be provided, but distinctions among the three methods were explained.

Step-by-step explanation:

Comparing Methods for Solving the Fibonacci Sequence

When solving the Fibonacci sequence problem, there are several methods that can be used, each with its own performance characteristics. The question seems to be asking which method is being employed in the given scenario, but no specific iterative solution is provided to make an accurate determination.

• Dynamic Programming (DP) typically involves solving complex problems by breaking them down into simpler subproblems and storing the results of these subproblems to avoid re-computation.
• Recursion is a method where the solution to a problem depends on solutions to smaller instances of the same problem, often leading to multiple function calls.
• Iteration involves looping over a sequence of actions to obtain a result.

Without the specific iterative solution to reference, I cannot categorically identify which method the question pertains to. However, if the iterative solution involves previously calculating Fibonacci values being kept and reused, it could be an iterative version of dynamic programming. If it uses a for or while loop without storing past calculations, it could simply be classified as iteration.