Woburn Challenge 1995

The factorial of a whole number ~N~ (written as ~N!~) is defined as follows:

$$\displaystyle N! = 1 \times 2 \times \dots \times (N-1) \times N$$

For example, ~10! = 1 \times 2 \times 3 \times 4 \times 5 \times 6 \times 7 \times 8 \times 9 \times 10 = 3\,628\,800~.
The "factorial length" of a number ~N~ is defined as the number of digits in ~N!~. Thus the factorial length of ~10~ is ~7~.

Input Specification

On each of five lines is a positive integer ~N~ in the range ~1 \dots 500~.

Output Specification

For each of the five inputs, output that number's factorial length in the format shown below.

Sample Input

1
2
5
10
52

Sample Output

The length of 1! is 1
The length of 2! is 1
The length of 5! is 3
The length of 10! is 7
The length of 52! is 68