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Playing with numbers and data is a whole lot fun . I love scribbling my pages and brains with crap ,
a whole lot of crap . So , is this question and idea . I've been playing with Prime numbers and permutations ,
and I'm keen on certain kinds of permutations . Say , for a given number N , I started building
up permutations of numbers from 1 to N , such that the i-th integer in this permutation is the j-th
smallest number from 1 till i , where j is { 1 , prime number } .
Indexing is 1-based .
Example , say N = 3
a valid permutation is 1 , 3 , 2


Input
Number of test cases T , followed by T lines of a single number N

4
1
2
3
4


Output
Number of such permutations modulo 10^9 + 7 , followed by a new line

1
2
6
18

Constraints :
T <= 10^6
1 <= N <= 10^6

Problem Setter : Akshit Poddar


Languages: Brain,C,C++,Java,C#,JavaScript,Pascal,Perl,PHP,Python,Ruby,Text

Time Limit: 2 Second(s)
Score: 100 Point(s)
Input File Limit: 50000 Bytes

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