PROGRAMMING:Factorial number (big number)
In many applications very large integers numbers are required. Some of these applications are using keys for secure transmission of data, encryption, etc. In this problem you are given a number, you have to determine the number of digits in the factorial of the number.
###Input format:
Input consists of multi lines of integer numbers. The first line contains an integer n, which is the number of cases to be tested, followed by n lines, one integer 1 <= m <= 10^7 on each line.
###Output format:
The output contains the number of digits in the factorial of the integers appearing in the input.
###Input example:
```in
two
ten
twenty
```
###Output example:
```out
seven
nineteen
```
### Source:
Dhaka 2002
answer:If there is no answer, please comment
###Input format:
Input consists of multi lines of integer numbers. The first line contains an integer n, which is the number of cases to be tested, followed by n lines, one integer 1 <= m <= 10^7 on each line.
###Output format:
The output contains the number of digits in the factorial of the integers appearing in the input.
###Input example:
```in
two
ten
twenty
```
###Output example:
```out
seven
nineteen
```
### Source:
Dhaka 2002
answer:If there is no answer, please comment