Space

During a programming contest, teams cannot sit close to each other, because then a team might copy the solution of another team. You are given the locations of the teams and the minimum required Euclidian distance between two teams. You have to find the number of pairs of teams that sit too close to each other.

On the first line an integer t (1 <= t <= 100): the number of test cases. Then for each test case:

One line with two integers n (1 <= n <= 100 000) and d (1 <= d <= 50): the number of teams and the minimum distance between two teams.

n lines with two integers x_i (0 <= x_i <= 1 000 000 000) and y_i (0 <= y_i <= 1 000 000 000): the coordinates of the i-th team. No two teams will have the same coordinates.

For each test case:

One line with the number of pairs of teams that sit too close to each other.

1
6 3
0 0
0 3
2 1
2 3
3 0
3 1

8

bapc2007_pre