Counter Strike

Time Limit: 1000 ms Memory Limit: 32768 KiB

Problem Description

Anti-terrorism is becoming more and more serious nowadays. The country now has n soldiers,and every solider has a score.
We want to choose some soldiers to fulfill an urgent task. The soldiers chosen must be adjacent to each other in order to make sure that they can cooperate well. And all the soldiers chosen must have an average score greater than a.
Now, please calculate how many ways can the chief of staff choose the soldiers.


The first line consists of a single integer t, indicating number of test cases.
For each test case, the first line gives n, the number of soldiers, and a, the minimum possible average score(n<=100000,a<=10000). The second line gives n integers, corresponding to the soldiers' scores in order. All the scores are no greater than 10000.


An integer n, number of ways to choose the soldiers.

Sample Input

5 3
1 3 7 2 4
1 1000

Sample Output



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2008 Asia Harbin Regional Contest Online