#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:
- If
nis less than or equal to 1, it returns 1. - If
nis even, it calls itself withn/2as the argument. - If
nis odd, it calls itself twice, once withn/2and once withn/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)callsf(5)andf(6), because 11 is odd.f(5)callsf(2)andf(3), because 5 is odd.f(2)callsf(1), because 2 is even.f(1)returns 1.f(3)callsf(1)andf(2), because 3 is odd.f(1)returns 1 andf(2)callsf(1)which returns 1.f(6)callsf(3), because 6 is even.f(3)callsf(1)andf(2).f(1)returns 1 andf(2)callsf(1)which returns 1.
So, f(11) returns 1 + 1 + 1 + 1 = 4.
Therefore, the output of the program is 4.
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