시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 256 MB76692620166533.835%

문제

강한 북서풍이 불고 있다. 이 뜻은 동쪽과 남쪽 사이의 모든 방향으로 항해할 수 있다는 뜻이다. 북쪽이나 서쪽으로 항해하는 것은 불가능하다.

작은 섬이 여러 개 있는 바다가 있다. 섬은 좌표 평면의 한 점으로 나타낼 수 있다. y 좌표가 증가하는 방향은 북쪽, x좌표가 증가하는 방향은 동쪽이다. 북서풍을 타고 항해할 수 있는 섬의 쌍의 수를 구하는 프로그램을 작성하시오.

입력

첫째 줄에 테스트 케이스의 개수가 주어진다.

각 테스트 케이스의 첫째 줄에는 섬의 수 n (1 ≤ n ≤ 75000)이 주어진다. 다음 n개 줄에는 각 섬의 좌표 xi, yi가 주어진다. 두 섬의 좌표가 같은 경우는 없다. (-109 ≤ xi, yi ≤ 109)

출력

각 테스트 케이스에 대해서, 북서풍을 타고 항해할 수 있는 섬의 쌍의 수를 출력한다.

예제 입력 1

2
4
-10 -10
-10 10
10 -10
10 10
3
1 3
2 2
3 1

예제 출력 1

5
3
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