1025. GCC

时间限制 1000 ms   内存限制 128 MB

The GNU Compiler Collection (usually shortened to GCC) is a compiler system produced by the GNU Project supporting various programming languages. But it doesn’t contains the math operator “!”.
In mathematics the symbol represents the factorial operation. The expression n! means "the product of the integers from 1 to n". For example, 4! (read four factorial) is 4 × 3 × 2 × 1 = 24. (0! is defined as 1, which is a neutral element in multiplication, not multiplied by anything.)
We want you to help us with this formation: (0! + 1! + 2! + 3! + 4! + ... + n!)%m
 

输入数据

The first line consists of an integer T, indicating the number of test cases.
Each test on a single consists of two integer n and m.

输出数据

Output the answer of (0! + 1! + 2! + 3! + 4! + ... + n!)%m.

Constrains
0 < T <= 20
0 <= n < 10^100 (without leading zero)
0 < m < 1000000

样例输入

复制
1 
10 861017
 \n
  ·      \n

样例输出

复制
593846      \n

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Source

2009 Asia Wuhan Regional Contest Online

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