Algorithms | Recursion | Question 4

What does the following function do? 

C

int fun(int x, int y)
{
    if (y == 0)   return 0;
    return (x + fun(x, y-1));
}

(A)

x + y

(B)

x + x*y

(C)

x*y

(D)

x^y

Answer: (C)

Explanation:

int fun(int x, int y): This function is a recursive function that calculates the product of two integers x and y. It does this by repeatedly adding x to itself y times. If y is 0, the function returns 0 (base case). Otherwise, it returns x plus the result of calling itself with x and y-1.

Therefore, The function adds x to itself y times which is x*y.

Hence (C) is the correct answer.

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