Let f be a function with the following properties:
(i) f(1)=1, and
(ii) f(2 n)=n \cdot f(n) for any positive integer n.
What is the value of f\left(2^{100}\right) ?
Answer Choices
A. 1
B. 2^{99}
C. 2^{100}
D. 2^{4950}
E. 2^{9999}
Let f be a function with the following properties:
(i) f(1)=1, and
(ii) f(2 n)=n \cdot f(n) for any positive integer n.
What is the value of f\left(2^{100}\right) ?
Answer Choices
A. 1
B. 2^{99}
C. 2^{100}
D. 2^{4950}
E. 2^{9999}