시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB56111032.258%

문제

선영: "상근이가 총을 먼저 쐈어요!"

상덕: "아니에요. 희원이가 있는 쪽에서 총소리가 먼저 났어요!"

논쟁은 얼마 전에 있었던 큰 총격전에 대한 재판내내 계속 되었다. 다행히도 총격전에 참가한 모든 사람은 죽지 않았다. 하지만, 총이 발사된 순서는 모두가 동의하지 않았다. 모든 사람은 최대 한 발을 발사했다. 하지만, 모든 일이 너무나 빠르게 일어났다. 총이 발사된 순서를 알아내야 유죄와 무죄를 판결할 수 있기 때문에, 순서를 알아내는 것은 매우 중요하다.

갑자기 경찰관 현우가 논쟁에 끼어들었다.

현우: "난 총격전이 일어난 그 시점의 위성 사진을 가지고 있다. 너희들이 어디에 있는 지를 정확하게 알 수 있지. 상덕이는 상근이보다 희원이에게 매우 가깝게 있었고, 선영이는 상근이보다 희원이에게 조금 가깝게 있었군. 소리는 1초에 340m를 움직이지. 상덕이는 상근이가 총을 먼저 쐈다고 하더라도, 희원이의 총소리를 먼저 들었을 거야. 그런데, 선영이는 희원이에게 조금 가깝게 있었는데도 상근이의 총소리를 먼저 들었네? 상근이가 제일 처음으로 총을 발사한 사람이네!"

위와 같은 상황이 주어졌을 때, 총을 발사한 순서를 구하는 프로그램을 작성하시오.

입력

첫째 줄에 테스트 케이스의 개수가 주어진다. 테스트 케이스의 개수는 최대 100개이다.

테스트 케이스의 첫째 줄에는 총격전에 연루된 사람의 수 n (2 ≤ n ≤ 100)과 진술의 수 m (1 ≤ m ≤ 1000) 이 주어진다.

다음 n개 줄에는 사람의 이름 S와 그 사람의 위치 x와 y가 주어진다. 이름은 길이가 최대 20이며, 알파벳 소문자와 대문자로만 이루어져 있다. 좌표는 원점으로부터 떨어진 거리이며 단위는 미터이다.

다음 m개 줄에는 각 사람의 진술 "S1 heard S2 firing before S3"가 주어진다. S1, S2, S3은 사람의 이름이며, S2 ≠ S3이다.

만약, 어떤 사람이 S2, S3로 언급된 적이 없으면, 그 사람은 총을 쏘지 않았다고 가정한다. 두 사람이 같은 장소에 있는 경우는 없다.

테스트 케이스는 정답에 영향을 주지 않기 위해 거리의 오차가 10-7보다 작게 만들어져 있다.

출력

각 테스트 케이스 마다 총을 쏜 순서를 출력한다. 만약, 가능한 순서가 여러 가지라면 "UNKNOWN"을 출력하고, 가능한 순서가 없는 경우에는 "IMPOSSIBLE"을 출력한다.

예제 입력 1

3
4 2
BillyTheKid 0 0
Andy 10 0
John 19 0
Larry 20 0
Andy heard BillyTheKid firing before John
Larry heard John firing before BillyTheKid
2 2
Andy 0 0
Beate 0 1
Andy heard Beate firing before Andy
Beate heard Andy firing before Beate
3 1
Andy 0 0
Beate 0 1
Charles 1 3
Beate heard Andy firing before Charles

예제 출력 1

BillyTheKid John
IMPOSSIBLE
UNKNOWN
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S1, S2, S3\uc740 \uc0ac\ub78c\uc758 \uc774\ub984\uc774\uba70, S2 &ne; S3\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub9cc\uc57d, \uc5b4\ub5a4 \uc0ac\ub78c\uc774 S2, S3\ub85c \uc5b8\uae09\ub41c \uc801\uc774 \uc5c6\uc73c\uba74, \uadf8 \uc0ac\ub78c\uc740 \ucd1d\uc744 \uc3d8\uc9c0 \uc54a\uc558\ub2e4\uace0 \uac00\uc815\ud55c\ub2e4. \ub450 \uc0ac\ub78c\uc774 \uac19\uc740 \uc7a5\uc18c\uc5d0 \uc788\ub294 \uacbd\uc6b0\ub294 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \uc815\ub2f5\uc5d0 \uc601\ud5a5\uc744 \uc8fc\uc9c0 \uc54a\uae30 \uc704\ud574 \uac70\ub9ac\uc758 \uc624\ucc28\uac00 10<sup>-7<\/sup>\ubcf4\ub2e4 \uc791\uac8c \ub9cc\ub4e4\uc5b4\uc838 \uc788\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4 \ub9c8\ub2e4 \ucd1d\uc744 \uc3dc \uc21c\uc11c\ub97c \ucd9c\ub825\ud55c\ub2e4. \ub9cc\uc57d, \uac00\ub2a5\ud55c \uc21c\uc11c\uac00 \uc5ec\ub7ec \uac00\uc9c0\ub77c\uba74 &quot;UNKNOWN&quot;\uc744 \ucd9c\ub825\ud558\uace0, \uac00\ub2a5\ud55c \uc21c\uc11c\uac00 \uc5c6\ub294 \uacbd\uc6b0\uc5d0\ub294 &quot;IMPOSSIBLE&quot;\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"3657","problem_lang":"1","title":"Smoking gun","description":"<p>Andy: &rdquo;Billy the Kid \ufb01red \ufb01rst!&rdquo;<\/p>\r\n\r\n<p>Larry: &rdquo;No, I&rsquo;m sure I heard the \ufb01rst shot coming from John!&rdquo;<\/p>\r\n\r\n<p>The arguments went back and forth during the trial after the big shoot-down, somewhere in the old wild west. Miraculously, everybody had survived (although there were serious injuries), but nobody could agree about the exact sequence of shots that had been \ufb01red. It was known that everybody had \ufb01red at most one shot, but everything had happened very fast. Determining the precise order of the shots was important for assigning guilt and penalties.<\/p>\r\n\r\n<p>But then the sheriff, Willy the Wise, interrupted: &rdquo;Look, I&rsquo;ve got a satellite image from the time of the shooting, showing exactly where everybody was located. As it turns out, Larry was located much closer to John than to Billy the Kid, while Andy was located just slightly closer to John than to Billy the Kid. Thus, because sound travels with a \ufb01nite speed of 340 meters per second, Larry may have heard John&rsquo;s shot \ufb01rst, even if Billy the Kid \ufb01red \ufb01rst. But, although Andy was closer to John than to Billy the Kid, he heard Billy the Kid&rsquo;s shot \ufb01rst &ndash; so we know for a fact that Billy the Kid was the one who \ufb01red \ufb01rst!<\/p>\r\n\r\n<p>Your task is to write a program to deduce the exact sequence of shots \ufb01red in situations like the above.<\/p>\r\n","input":"<p>On the \ufb01rst line a positive integer: the number of test cases, at most 100. After that per test case:<\/p>\r\n\r\n<ul>\r\n\t<li>one line with two integers n (2 &le; n &le; 100) and m (1 &le; m &le; 1 000): the number of people involved and the number of observations.<\/li>\r\n\t<li>n lines with a string S, consisting of up to 20 lower and upper case letters, and two integers x and y (0 &le; x, y &le; 1 000 000): the unique identi\ufb01er for a person and his\/her position in Cartesian coordinates, in metres from the origin.<\/li>\r\n\t<li>m lines of the form &ldquo;S1 heard S2 firing before S3&rdquo;, where S1, S2 and S3 are identi\ufb01ers among the people involved, and S2 &ne; S3.<\/li>\r\n<\/ul>\r\n\r\n<p>If a person was never mentioned as S2 or S3, then it can be assumed that this person never \ufb01red, and only acted as a witness. No two persons are located in the same position.<\/p>\r\n\r\n<p>The test cases are constructed so that an error of less than 10<sup>-7<\/sup> in one distance calculation will not affect the output.<\/p>\r\n","output":"<p>Per test case:<\/p>\r\n\r\n<ul>\r\n\t<li>one line with the ordering of the shooters that is compatible with all of the observations, formatted as the identi\ufb01ers separated by single spaces.<\/li>\r\n<\/ul>\r\n\r\n<p>If multiple distinct orderings are possible, output &ldquo;UNKNOWN&rdquo; instead. If no ordering is compatible with the observations, output &ldquo;IMPOSSIBLE&rdquo; instead.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

ICPC > Regionals > Europe > Northwestern European Regional Contest > NWERC 2011 G번