## DCEPC705 - Weird Points

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Given N distinct points in a plane, a point (x1, y1) is said to be dominating another point (x2, y2) if x1>=x2 and y1>=y2.

The Dominance of a point is the absolute difference between 2 quantities – no. of points dominated by this point and no. of points not dominated by this point. (excluding itself)

A Weird point is the point whose Dominance value is greater than or equal to a threshold value ‘k’. Find the no. of such Weird Points among those N given points.

### Input

First line gives T, the no. of test cases.

Each test case consists of 2 integers in first line, N and K, as specified above.

Next N lines give the coordinates of N points in the plane. “Xi” and “Yi” are space separated.

### Output

Output T lines, each containing the required answer.

1<=T<=10
1<=N<=10^5
1<=Xi, Yi<=10^9
0<=K<=N

### Example

`Input:1`
`4 2`
`3 17 52 86 7`
`Output:2`

Problem Statement and Test Cases has been updated 2012-05-17 18:10:00. yaseenmollik: 2020-03-25 19:01:13 Great Problem. Solved using BIT :D: 2012-05-17 16:14:12 Thanks for corrections!