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Formula

Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1585    Accepted Submission(s): 572


Problem Description
$f(n) = (\prod\limits_{i=1}^{n}i^{n-i+1})\%1000000007$
You are expected to write a program to calculate f(n) when a certain n is given.
 

Input
Multi test cases (about 100000), every case contains an integer n in a single line.
Please process to the end of file.

[Technical Specification]
$1 \leq n \leq 10000000$
 

Output
For each n£Ĵoutput f(n) in a single line.
 

Sample Input
2
100
 

Sample Output
2
148277692
 

Source
BestCoder Round #21
 

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