N! (N factorial) can be quite irritating and difficult to compute for large values of N. So instead of calculating N!, I want to know how many digits are in it. (Remember that N! = N * (N - 1) * (N - 2) * ... * 2 * 1)
Each line of the input will have a single integer N on it 0 < N < 1000000 (1 million). Input is terminated by end of file.
For each value of N, print out how many digits are in N!.