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Hunan Normal University
College of Information Science and Engineering
Big Number 
Time Limit: 1000ms, Special Time Limit:2500ms, Memory Limit:32768KB
Total submit users: 67, Accepted users: 56
Problem 10075 : No special judgement
Problem description
  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 m 107 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
Problem Source
  HNU Contest 

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