시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 128 MB129746060.000%

문제

사각형 모양의 땅이 있다. 이 땅을 둘로 잘라서, 잘라진 두 다각형의 넓이를 최대한 비슷하게 하려고 한다.

땅을 자를 때에는 위의 그림처럼 각 꼭짓점이나 그 중점만을 이용할 수 있다.

입력

첫째 줄에 사각형의 네 꼭짓점의 좌표가 순서대로(시계방향이나 반시계방향으로) 주어진다. 각 꼭짓점의 좌표는 절댓값이 10,000을 넘지 않는 정수이다.

입력으로 주어지는 사각형은 볼록 사각형 (모든 각이 180도보다 작은 사각형) 이다.

출력

첫째 줄에 두 면적을 출력한다. 작은 면적을 먼저 출력하도록 한다. 절대/상대 오차는 10-3까지 허용한다.

예제 입력 1

0 1 6 0 5 2 2 3

예제 출력 1

4.375 5.125

예제 입력 2

0 0 100 0 100 100 0 100

예제 출력 2

5000.0 5000.0
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출처

ICPC > Regionals > North America > East Central North America Regional > 2003 East Central Regional Contest H번

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