Define g(n) := f(n!). We want to find a closed formula for g(n). First of all, we want to find a recurrence for g(n). If n is odd, then it is pretty easy to see that g(n) = g(n 1). If n is even, try to write g(n) in terms of g(n/2). Once you have figured this out, you will surely be able to answer the following question: What is g(8, 000, 000, 000, 000) g(4,000, 000, 000, 000)?, where these numbers are in decimal? Please don't use "," in your answer!