시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB34111038.462%

문제

희현이는 환상의 나라 에벌랜드가 새롭게 추진하는 래프팅 프로젝트의 디자이너로 취직을 하였다. 희현이는 바깥의 다각형이 안의 다각형을 포함하게끔 두 개의 다각형 그린 후, 그 사이 빈 공간을 래프팅 트랙으로 디자인 하였다.

자 이제 트랙을 만들었으니 튜브의 크기를 결정할 일만 남았다. 사람들을 '하태핫해'하게끔 만들고 싶은 희현이는 원형 튜브가 트랙을 움직이면서 자유롭게 회전이 되도록 만들고 싶다. 또한 튜브는 가능한 많은 사람이 탈 수 있도록 크게 만들고 싶지만 튜브의 크기가 너무 크면 트랙에 걸리게 되어 버린다.

이 때, 튜브의 크기를 얼마나 크게해야 될까?

입력

첫째 줄에는 테스트 케이스의 수가 주어진다. 최대 100개이다.

각 테스트 케이스마다 첫째 줄에는 내부 다각형의 점의 수 ni (3 ≤ ni ≤ 100)가 주어진다. 그 후 ni개 줄에는 각 점의 (x, y)좌표가 순서대로 주어진다.

그 다음 줄에는 외부 다각형의 점의 수 no (3 ≤ no ≤ 100)가 주어진다. 그 후 no개 줄에는 각 점의 (x, y)좌표가 순서대로 주어진다.

모든 좌표의 절댓값은 1000 이하이고, 다각형의 점은 시계 혹은 반시계 방향으로 주어진다. 두 개의 다각형은 서로 겹치거나 만나지 않는다. 항상 외부 다각형은 내부 다각형을 포함한다.

출력

각 테스트케이스마다 튜브의 최대 크기를 출력한다. 상대/절대 오차가 10^-6 미만인 경우 정답으로 처리한다.

예제 입력 1

2
4
-5 -5
5 -5
5 5
-5 5
4
-10 -10
-10 10
10 10
10 -10
3
0 0
1 0
1 1
5
3 -3
3 3
-4 2
-1 -1
-2 -2

예제 출력 1

2.5
0.70710678
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

출처

ICPC > Regionals > Europe > Northwestern European Regional Contest > NWERC 2008 I번

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