Big Number

Time Limit: 10 Seconds
Memory Limit: 32768 KB

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**

Input consists of several 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 <= n <= 10^7 on each line.

**Output**

The output contains the number of digits in the factorial of the integers appearing
in the input.

**Sample Input**

2

10

20

**Sample Output**

7

19

Source:

**Asia 2002, Dhaka (Bengal)**
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