GATE | GATE CS 2010 | Question 35

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#include<stdio.h>
int f(int *a, int n)
{
  if(n <= 0) return 0;
  else if(*a % 2 == 0) return *a + f(a+1, n-1);
  else return *a - f(a+1, n-1);
}
   
int main()
{
  int a[] = {12, 7, 13, 4, 11, 6};
  printf("%d", f(a, 6));
  getchar();
  return 0;
}

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(A) -9
(B) 5
(C) 15
(D) 19


Answer: (C)

Explanation: f() is a recursive function which adds f(a+1, n-1) to *a if *a is even. If *a is odd then f() subtracts f(a+1, n-1) from *a. See below recursion tree for execution of f(a, 6).
.

 f(add(12), 6) /*Since 12 is first element. a contains address of 12 */
    |
    |
 12 + f(add(7), 5) /* Since 7 is the next element, a+1 contains address of 7 */
        |
        |
     7 - f(add(13), 4)
              |
              |
           13 - f(add(4), 3)
                     |
                     |
                  4 + f(add(11), 2)
                             |
                             |
                           11 - f(add(6), 1)
                                    |
                                    |
                                 6 + 0

So, the final returned value is 12 + (7 – (13 – (4 + (11 – (6 + 0))))) = 15

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