Number of Pairs

Description:

Input:

The first line contains an integer $$$t$$$ ($$$1 \le t \le 10^4$$$). Then $$$t$$$ test cases follow.

The first line of each test case contains three integers $$$n, l, r$$$ ($$$1 \le n \le 2 \cdot 10^5$$$, $$$1 \le l \le r \le 10^9$$$) — the length of the array and the limits on the sum in the pair.

The second line contains $$$n$$$ integers $$$a_1, a_2, \ldots, a_n$$$ ($$$1 \le a_i \le 10^9$$$).

It is guaranteed that the sum of $$$n$$$ overall test cases does not exceed $$$2 \cdot 10^5$$$.

Output:

For each test case, output a single integer — the number of index pairs $$$(i, j)$$$ ($$$i < j$$$), such that $$$l \le a_i + a_j \le r$$$.

Sample Input:

4
3 4 7
5 1 2
5 5 8
5 1 2 4 3
4 100 1000
1 1 1 1
5 9 13
2 5 5 1 1

Sample Output:

2
7
0
1