Answer
See the explanation
Work Step by Step
To replace the recursive algorithm with a nonrecursive one using a stack, we can use an iterative approach to simulate the recursion. Here's a rough outline of the nonrecursive algorithm:
1. Initialize an empty stack to keep track of function calls and their parameters.
2. Push the initial parameters onto the stack.
3. Loop until the stack is empty:
- Pop the parameters from the top of the stack.
- Check the base case. If it's met, continue to the next iteration of the loop.
- Otherwise, perform the necessary computations and push the parameters for the recursive calls onto the stack.
4. Return the result once all iterations are complete.
This approach ensures that backtracking is controlled by the stack, allowing us to mimic the behavior of the recursive algorithm without actually using recursion.
