## WC '95 P5 - Factorial Power

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Points: 5
Time limit: 1.0s
Memory limit: 16M

Problem type
Allowed languages
Assembly, Brain****, C, C++, COBOL, Forth, Fortran, Java, Lua, Prolog, Text, Turing
##### Woburn Challenge 1995

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

For example, .
The "factorial length" of a number is defined as the number of digits in . Thus the factorial length of 10 is 7.

#### Input Specification

On each of five lines is a positive integer in the range .

#### 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

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