Consider the following program:
void A(int n){ printf("*"); if(n>1){ A(n/4); A(n/4); A(n/4); A(n/4); } }
Let $X$ be number of asterisks printed by above function when $n=1024.$ Then the value of $X$ will be ____________
How ans will be $\frac{4^{k+1}-1}{3}$ , where $k=5?$ .
A(1024) = *, A(256), A(256), A(256), A(256) => A(N) = 4 * a(N / 4) +1 where A(1) = 1; A(4) = 4*1 + 1 = 5, A(16) = 21, A(64) = 85, A(256) = 341, A(1024) = 1365 which is (4^k+1 -1) /3 with k = 5