Great programmer “Tourist” is attending a coding test. In this test he is asked to solve an easy problem. The problem description is,

There is an array a consists of n integers and another nonnegative integer x. He need to find the number of pair (i, j) where i!=j & a_i – a_j = x.

As it is very easy for him, he gave you this problem and start trying another hard problem. Can you solve this for him?

Input

Input starts with an integer t (1 ≤ t ≤ 10), number of test case.

Each case contains two integer n (1 ≤ n ≤ 10⁵), and x (0 ≤ x ≤ 10⁹).

Next line contains n separated integers a_i (1 ≤ a_i ≤ 10⁹).

Output

For each case, print the case number and the number of pairs which meet the above condition.

Example

Input:
2
5 3
5 1 4 2 3
10 2
12 17 19 13 17 11 17 12 15 14
Output:
Case 1: 2
Case 2: 10