Inverse of sum

TimeLimit:3000MS  MemoryLimit:524288KB
64-bit integer IO format:%I64d
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Problem Description

There are n nonnegative integers a1n which are less than p. HazelFan wants to know how many pairs i,j(1i<jn) are there, satisfying 1ai+aj1ai+1aj when we calculate module p, which means the inverse element of their sum equals the sum of their inverse elements. Notice that zero element has no inverse element.

 


Input

The first line contains a positive integer T(1T5), denoting the number of test cases.
For each test case:
The first line contains two positive integers n,p(1n105,2p1018), and it is guaranteed that p is a prime number.
The second line contains n nonnegative integers a1...n(0ai<p).

Output
For each test case:
A single line contains a nonnegative integer, denoting the answer.
SampleInput
2
5 7
1 2 3 4 5
6 7
1 2 3 4 5 6
SampleOutput
4
6
Submit
题目统计信息详细
总AC数0
通过人数0
尝试人数1
总提交量1
AC率0.00%
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