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#include int f(int n) { if(n <= 1) return 1; if(n%2 == 0) return f(n/2); return f(n/2) + f(n/2+1); } int main() { printf("%d", f(11)); return 0; } Options Stack Overflow 3 4 5

Question

#include int f(int n) { if(n <= 1) return 1; if(n%2 == 0) return f(n/2); return f(n/2) + f(n/2+1); } int main() { printf("%d", f(11)); return 0; }

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Solution

The given code is a C program that defines a recursive function f(int n). This function takes an integer n as input and returns an integer. The function works as follows:

  1. If n is less than or equal to 1, it returns 1.
  2. If n is even, it calls itself with n/2 as the argument.
  3. If n is odd, it calls itself twice, once with n/2 and once with n/2+1, and returns the sum of these two calls.

In the main function, f(11) is called and its result is printed.

Let's trace the execution of f(11):

  • f(11) calls f(5) and f(6), because 11 is odd.
  • f(5) calls f(2) and f(3), because 5 is odd.
  • f(2) calls f(1), because 2 is even. f(1) returns 1.
  • f(3) calls f(1) and f(2), because 3 is odd. f(1) returns 1 and f(2) calls f(1) which returns 1.
  • f(6) calls f(3), because 6 is even. f(3) calls f(1) and f(2). f(1) returns 1 and f(2) calls f(1) which returns 1.

So, f(11) returns 1 + 1 + 1 + 1 = 4.

Therefore, the output of the program is 4.

This problem has been solved

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