시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 78 33 16 34.783%

문제

강산이는 2012년 런던 올림픽을 본 이후로 취미로 양궁을 하게 되었다.

하지만 생각만큼 양궁은 쉬운 스포츠가 아니었다.

좀처럼 잘 되지 않자 강산이는 좀 더 쉽게 할 수 있는 새로운 양궁을 생각해냈다.

새로운 양궁의 규칙은 다음과 같다.

  • 플레이어는 관통력이 무한하며, 영원히 날아가는 화살을 발사한다.
  • 플레이어의 주변엔 타겟 여러 개가 직선 형태로 놓여 있다. 각 타겟은 교차하거나 겹칠 수도 있다. 단, 플레이어가 타겟 위에 서 있는 경우는 없다.

 

위는 두 개의 타겟이 있는 게임의 예시이다. 플레이어는 원점에서 화살을 쏜다.

각 선수는 어떤 방향으로든 화살을 발사할 수 있다. 예를 들어 위 그림의 경우, 플레이어가 s방향으로 화살을 쏜다면 타겟 T1과 T2 모두를 관통하게 된다. 이 예제에서, 플레이어가 두 개의 타겟을 노릴 수 있는 영역은 한 군데이며, 한 개의 타겟을 노릴 수 있는 영역은 두 군데임을 알 수가 있다. 각 타겟의 끝점을 스치는 화살도 타겟을 관통한 것으로 친다.

강산이는 이 양궁이 아주 마음에 들었다. 특히나, 어떤 선수가 화살을 쏠 때 과연 몇 개의 타겟을 맞힐 수 있을 지를 계산하는 것이 아주 재미있었다.

강산이의 즐거움을 여러분도 체험하기 위해, 각 타겟의 시작점과 끝점이 주어질 때 화살 한 발로 맞힐 수 있는 타겟 수의 기댓값을 구해보도록 하자.

입력

첫 줄에 테스트 케이스의 수 T가 주어진다. ( 1 ≤ T ≤ 100 )

각 테스트 케이스의 첫 줄엔 타겟의 수 N이 주어진다. ( 1 ≤ N ≤ 100 )

이어 N줄에 걸쳐 네 개의 정수 X 1 Y1 X2 Y2가 주어진다. 이는 타겟이 (X1, Y1)에서 시작하여 (X2, Y2)에서 끝나는 선분의 형태로 놓여 있음을 의미한다. ( -100 ≤ X1, Y1, X2,Y2 ≤ 100 )

출력

각 테스트 케이스마다 화살 한 발로 맞힐 수 있는 타겟 수의 기댓값을 소수점 여섯 번째 자리에서 반올림하여 다섯 번째 자리까지 출력한다.

예제 입력 1

2
2
1 5 3 3
3 5 6 2
8
3 0 0 3
0 3 -3 0
-3 0 0 -3
0 -3 3 0
3 3 -3 3
-3 3 -3 -3
-3 -3 3 -3
3 -3 3 3

예제 출력 1

0.20636
2.00000
[{"problem_id":"9553","problem_lang":"0","title":"\uc591\uad81","description":"<p>\uac15\uc0b0\uc774\ub294 2012\ub144 \ub7f0\ub358 \uc62c\ub9bc\ud53d\uc744 \ubcf8 \uc774\ud6c4\ub85c \ucde8\ubbf8\ub85c \uc591\uad81\uc744 \ud558\uac8c \ub418\uc5c8\ub2e4.<\/p>\r\n\r\n<p>\ud558\uc9c0\ub9cc \uc0dd\uac01\ub9cc\ud07c \uc591\uad81\uc740 \uc26c\uc6b4 \uc2a4\ud3ec\uce20\uac00 \uc544\ub2c8\uc5c8\ub2e4.<\/p>\r\n\r\n<p>\uc880\ucc98\ub7fc \uc798 \ub418\uc9c0 \uc54a\uc790 \uac15\uc0b0\uc774\ub294 \uc880 \ub354 \uc27d\uac8c \ud560 \uc218 \uc788\ub294 \uc0c8\ub85c\uc6b4 \uc591\uad81\uc744 \uc0dd\uac01\ud574\ub0c8\ub2e4.<\/p>\r\n\r\n<p>\uc0c8\ub85c\uc6b4 \uc591\uad81\uc758 \uaddc\uce59\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\ud50c\ub808\uc774\uc5b4\ub294 \uad00\ud1b5\ub825\uc774 \ubb34\ud55c\ud558\uba70, \uc601\uc6d0\ud788 \ub0a0\uc544\uac00\ub294 \ud654\uc0b4\uc744 \ubc1c\uc0ac\ud55c\ub2e4.<\/li>\r\n\t<li>\ud50c\ub808\uc774\uc5b4\uc758 \uc8fc\ubcc0\uc5d4 \ud0c0\uac9f \uc5ec\ub7ec \uac1c\uac00 \uc9c1\uc120 \ud615\ud0dc\ub85c \ub193\uc5ec \uc788\ub2e4. \uac01 \ud0c0\uac9f\uc740 \uad50\ucc28\ud558\uac70\ub098 \uacb9\uce60 \uc218\ub3c4 \uc788\ub2e4. \ub2e8, \ud50c\ub808\uc774\uc5b4\uac00 \ud0c0\uac9f \uc704\uc5d0 \uc11c \uc788\ub294 \uacbd\uc6b0\ub294 \uc5c6\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>&nbsp;<\/p>\r\n\r\n<p><img src=\"\/upload\/images2\/archery.png\" \/><\/p>\r\n\r\n<p>\uc704\ub294 \ub450 \uac1c\uc758 \ud0c0\uac9f\uc774 \uc788\ub294 \uac8c\uc784\uc758 \uc608\uc2dc\uc774\ub2e4. \ud50c\ub808\uc774\uc5b4\ub294 \uc6d0\uc810\uc5d0\uc11c \ud654\uc0b4\uc744 \uc3dc\ub2e4.<\/p>\r\n\r\n<p>\uac01 \uc120\uc218\ub294 \uc5b4\ub5a4 \ubc29\ud5a5\uc73c\ub85c\ub4e0 \ud654\uc0b4\uc744 \ubc1c\uc0ac\ud560 \uc218 \uc788\ub2e4. \uc608\ub97c \ub4e4\uc5b4 \uc704 \uadf8\ub9bc\uc758 \uacbd\uc6b0, \ud50c\ub808\uc774\uc5b4\uac00 s\ubc29\ud5a5\uc73c\ub85c \ud654\uc0b4\uc744 \uc3dc\ub2e4\uba74 \ud0c0\uac9f T1\uacfc T2 \ubaa8\ub450\ub97c \uad00\ud1b5\ud558\uac8c \ub41c\ub2e4. \uc774 \uc608\uc81c\uc5d0\uc11c, \ud50c\ub808\uc774\uc5b4\uac00 \ub450 \uac1c\uc758 \ud0c0\uac9f\uc744 \ub178\ub9b4 \uc218 \uc788\ub294 \uc601\uc5ed\uc740 \ud55c \uad70\ub370\uc774\uba70, \ud55c \uac1c\uc758 \ud0c0\uac9f\uc744 \ub178\ub9b4 \uc218 \uc788\ub294 \uc601\uc5ed\uc740 \ub450 \uad70\ub370\uc784\uc744 \uc54c \uc218\uac00 \uc788\ub2e4. \uac01 \ud0c0\uac9f\uc758 \ub05d\uc810\uc744 \uc2a4\uce58\ub294 \ud654\uc0b4\ub3c4 \ud0c0\uac9f\uc744 \uad00\ud1b5\ud55c \uac83\uc73c\ub85c \uce5c\ub2e4.<\/p>\r\n\r\n<p>\uac15\uc0b0\uc774\ub294 \uc774 \uc591\uad81\uc774 \uc544\uc8fc \ub9c8\uc74c\uc5d0 \ub4e4\uc5c8\ub2e4. \ud2b9\ud788\ub098, \uc5b4\ub5a4 \uc120\uc218\uac00 \ud654\uc0b4\uc744 \uc3e0 \ub54c \uacfc\uc5f0 \uba87 \uac1c\uc758 \ud0c0\uac9f\uc744 \ub9de\ud790 \uc218 \uc788\uc744 \uc9c0\ub97c \uacc4\uc0b0\ud558\ub294 \uac83\uc774 \uc544\uc8fc \uc7ac\ubbf8\uc788\uc5c8\ub2e4.<\/p>\r\n\r\n<p>\uac15\uc0b0\uc774\uc758 \uc990\uac70\uc6c0\uc744 \uc5ec\ub7ec\ubd84\ub3c4 \uccb4\ud5d8\ud558\uae30 \uc704\ud574, \uac01 \ud0c0\uac9f\uc758 \uc2dc\uc791\uc810\uacfc \ub05d\uc810\uc774 \uc8fc\uc5b4\uc9c8 \ub54c \ud654\uc0b4 \ud55c \ubc1c\ub85c \ub9de\ud790 \uc218 \uc788\ub294 \ud0c0\uac9f \uc218\uc758 \uae30\ub313\uac12\uc744 \uad6c\ud574\ubcf4\ub3c4\ub85d \ud558\uc790.<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc218 T\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. ( 1 &le; T &le; 100 )<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab \uc904\uc5d4 \ud0c0\uac9f\uc758 \uc218 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. ( 1 &le; N &le; 100 )<\/p>\r\n\r\n<p>\uc774\uc5b4 N\uc904\uc5d0 \uac78\uccd0 \ub124 \uac1c\uc758 \uc815\uc218 X <sub>1<\/sub> Y<sub>1<\/sub> X<sub>2<\/sub> Y<sub>2<\/sub>\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774\ub294 \ud0c0\uac9f\uc774 (X<sub>1<\/sub>, Y<sub>1<\/sub>)\uc5d0\uc11c \uc2dc\uc791\ud558\uc5ec (X<sub>2<\/sub>, Y<sub>2<\/sub>)\uc5d0\uc11c \ub05d\ub098\ub294 \uc120\ubd84\uc758 \ud615\ud0dc\ub85c \ub193\uc5ec \uc788\uc74c\uc744 \uc758\ubbf8\ud55c\ub2e4. ( -100 &le; X<sub>1<\/sub>, Y<sub>1<\/sub>, X<sub>2<\/sub>,Y<sub>2<\/sub> &le; 100 )<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4 \ud654\uc0b4 \ud55c \ubc1c\ub85c \ub9de\ud790 \uc218 \uc788\ub294 \ud0c0\uac9f \uc218\uc758 \uae30\ub313\uac12\uc744 \uc18c\uc218\uc810 \uc5ec\uc12f \ubc88\uc9f8 \uc790\ub9ac\uc5d0\uc11c \ubc18\uc62c\ub9bc\ud558\uc5ec \ub2e4\uc12f \ubc88\uc9f8 \uc790\ub9ac\uae4c\uc9c0 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"9553","problem_lang":"1","title":"Archery","description":"<p>Last summer you were watching all the matches in the 2012 Olympics in London. One of the interesting sports is archery (it&rsquo;s the game of propelling arrows with the use of a bow to hit a target), but in this problem we are dealing with a new type of archery.<\/p>\r\n\r\n<p>In this new type of archery, the player has arrows that can penetrate any target and can go to infinity (the same arrow may hit more than one target), and there will be a lot of targets around the player everywhere, and the targets may intersect and\/or overlap with each others.<\/p>\r\n\r\n<p>From the top view you can model the targets as line segments and the player as a point at the origin (point (0,0) is the origin), also there will be no target which intersects with the player&rsquo;s position.<\/p>\r\n\r\n<p>You are really interested to calculate the expected number of targets this player can penetrate using one arrow, if he will shoot his arrow in a random direction (there are infinite number of different directions, and each direction has the same probability to be used for the random shoot).<\/p>\r\n\r\n<p>For example, the following figure explains the first sample test case, where the player is at the origin, and there are two targets T<sub>1<\/sub> with end points (1,5) and (3,3), and T<sub>2<\/sub> with end points (3,5) and (6,2), you can notice that there is a region where the player can shoot an arrow and penetrate the two targets, and there are two regions where he can penetrate only one target, and the last region he will not penetrate any target.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images2\/archery.png\" style=\"height:323px; width:317px\" \/><\/p>\r\n\r\n<p>Note that a target can be hit at any point between its 2 end points (inclusive).<\/p>\r\n","input":"<p>Your program will be tested on one or more test cases. The first line of the input will be a single integer T, the number of test cases (1 &le; T &le; 100). Followed by the test cases, each test case starts with a line containing one integer N (1 &le; N &le; 100) representing the number of targets in the game. Followed by N lines, the i-th line contains 4 integers separated by a single space X<sub>1<\/sub> Y<sub>1<\/sub> X<sub>2<\/sub> Y<sub>2<\/sub> (&minus;100 &le; X<sub>1<\/sub>, Y<sub>1<\/sub>, X<sub>2<\/sub>, Y<sub>2<\/sub> &le; 100) representing the i-th target end points (X<sub>1<\/sub>, Y<sub>1<\/sub>) and (X<sub>2<\/sub>, Y<sub>2<\/sub>)<\/p>\r\n","output":"<p>For each test case, print on a single line, a single number representing the expected number of targets the player can penetrate using one arrow, rounded to five decimal places.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]