NanoApe Loves Sequence Ⅱ

Time Limit: 2000ms
Memory Limit: 131072KB
This problem will be judged on HDU. Original ID: 5806
64-bit integer IO format: %I64d      Java class name: Main

Description

NanoApe, the Retired Dog, has returned back to prepare for for the National Higher Education Entrance Examination!

In math class, NanoApe picked up sequences once again. He wrote down a sequence with $n$ numbers and a number $m$ on the paper.

Now he wants to know the number of continous subsequences of the sequence in such a manner that the $k$-th largest number in the subsequence is no less than $m$.

Note : The length of the subsequence must be no less than $k$.

Input

The first line of the input contains an integer $T$, denoting the number of test cases.

In each test case, the first line of the input contains three integers $n,m,k$.

The second line of the input contains $n$ integers $A_1, A_2, ..., A_n$, denoting the elements of the sequence.

$1 \le T \le 10,~2 \le n \le 200000,~1 \le k \le n/2,~1 \le m,A_i \le 10^9$

Output

For each test case, print a line with one integer, denoting the answer.

Sample Input

1
7 4 2
4 2 7 7 6 5 1

Sample Output

18

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