STRATEGIES FOR DEVELOPING ALGORITHMS

STRATEGIES FOR DEVELOPING ALGORITHMS

Developing algorithms can be approached using various strategies, including iteration and recursion. HereIteration:

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1.Iteration:

• Start by identifying the specific task or problem you want to solve.
• Break down the problem into smaller subproblems or steps.
• Design a loop structure (e.g., for loop or while loop) to iterate over the steps.
• Implement the necessary conditions and control flow within the loop.
• Test and debug the algorithm to ensure correctness.

Example: Calculating the factorial of a number using iteration. are some simple strategies for developing algorithms using both approaches:

CODE:

def factorial_iterative(n): result = 1 for i in range(1, n + 1): result *= i return result # Testing the factorial function print(factorial_iterative(5)) #

Output: 120

2.Recursion:

• Identify the base case(s), which are the simplest possible scenarios that can be solved directly.
• Define the recursive case, which breaks down the problem into smaller subproblems of the same nature.
• Implement the recursive function that calls itself with smaller inputs.
• Ensure that the recursive calls reach the base case(s) to avoid infinite recursion.
• Combine the results from the recursive calls to solve the overall problem.
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Example: Calculating the factorial of a number using recursion.

CODE:

def factorial_recursive(n): if n == 0: return 1 else: return n * factorial_recursive(n - 1) # Testing the factorial function print(factorial_recursive(5)) #

Output: 120