What is the difference between implementing the same task using recursion and a loop?

Recursion uses a function call to itself to solve a problem, breaking it down into smaller subproblems until reaching the base case. A loop, on the other hand, repeats a block of code a certain number of times or until a condition is met.

Characteristic	Recursion	Loop
Execution	Function call	Iteration
Memory	Uses call stack	Uses counter/condition variables
Readability	Can be more concise for some tasks	Often more straightforward
Performance	Can be slower due to call overhead	Usually more efficient
Stack Overflow	Risk of overflow with deep recursion	No risk of stack overflow

Example in C# (factorial):

Recursive implementation:

// Recursive calculation of factorial
int FactorialRecursive(int n)
{
    if (n == 0)
    {
        return 1; // Base case
    }
    return n * FactorialRecursive(n - 1); // Recursive call
}

Loop implementation:

// Calculation of factorial using a loop
int FactorialIterative(int n)
{
    int result = 1;
    for (int i = 1; i <= n; i++)
    {
        result *= i;
    }
    return result;
}