Crime

Time Limit: 60000/30000 MS (Java/Others)

Memory Limit: 655360/327680 K (Java/Others)

Description

You kill a person and will be executed by shooting tomorrow,but you have a program contest to do today,after several hours' hard work,you solved all problems except this one.You died with the pity that didn't solved it.But now you have second chance.
Count the number of permutation of number 1 to n that every adjacent number are coprime.To avoid large number,output the result mod a number M.

Input

The first line contains integer T(1<=T<=5).Denoting the number of the test cases.
Then T lines follows,each line contains two integers n,M (1<=n<=28, 1<=M<=30000).
The n for each test cases will not be the same.

Output

For each test cases,print the answer in a line.

Sample Input

5
1 10000
2 10000
3 10000
4 10000
5 10000

Sample Output

1
2
6
12
72
Hint
There is a solution without making table.
Two integers are coprime if their greatest common divisor is 1.


zhuyuanchen520

Source

2013 Multi-University Training Contest 3