GATE | GATE-CS-2015 (Set 3) | Question 49

Consider the following recursive JAVA function. If get(6) function is being called in main() then how many times will the get() function be invoked before returning to the main()? 

Java

static void get (int n){
  if (n < 1)
    return;
  get(n - 1);
  get(n - 3);
  System.out.print(n);
}

(A)

15

(B)

25

(C)

35

(D)

45

Answer: (B)
Explanation:

                              get(6) [25 Calls]
                              /      \\
               [17 Calls] get(5)       get(3) [7 Calls]
                        /     \\
                    get(4)    get(2)[5 Calls]
                   /    \\ 
     [7 Calls] get(3)  get(1)[3 Calls]
                /     \\
             get(2)   get(0)
            /    \\
[3 Calls]get(1)  get(-1) 
   /  \\
get(0) get(-2)

Hence Option (B) is the correct answer.

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