What is the effect in the time required to solve a problem when you double the size of the input from n to 2n, assuming that the number of milliseconds the algorithm used to solve the problem with input size n is each of these functions? [Express your answer in the simplest form possible, either as a ratio or a difference. Your answer may be a function of n or a constant.]
a) log log n
b) log n
c) 100n
d) n log n
e) n²
f) n³
g) 2ⁿ