Woburn Challenge 1995

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

$${\displaystyle N!=1\times 2\times \cdots \times (N-1)\times N}$$

For example, $10!=1\times 2\times 3\times 4\times 5\times 6\times 7\times 8\times 9\times 10=3628800$.
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