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문제

철승이와 그의 아내인 보람이는 여러 부부가 모이는 파티에 참가했습니다. 이 파티에는 총 N커플이 참가합니다. 파티장에는 긴 테이블의 양 쪽에 참가자들이 앉을 의자가 N개씩, 총 2N개의 의자가 놓아져 있으며 한 의자에는 한 명만 앉을 수 있습니다. 파티에 참가한 사람은 0h, 0w, 1h, 1w, ... , (N-1)h, (N-1)w로 표현되며 kh는 k번째 커플의 남편, kw는 k번째 커플의 아내를 나타냅니다. 이때 0번째 커플은 항상 철승이와 보람이입니다.

오늘이 결혼 기념일이었던 철승이와 보람이는 서로 양쪽 첫 번째 줄에 앉게 되었습니다. 이 파티에는 아내와 남편은 같은 방향의 줄에 앉을 수 없다는 규칙이 있습니다. 즉, 부부는 서로 마주보는 방향으로 앉아야만 합니다.

평소 어둠의 커뮤니티 고동넷의 회원이던 철승이는 이 파티에 자주 보던 얼굴들이 있는 것을 발견했고, 한 사람의 귀띔으로 이 부부들 사이에는 수 많은 불륜 관계가 있다는 것을 알게 되었습니다. 철승이는 이런 불륜 커플들을 순수한 보람이가 보면 안 된다고 생각하고, 갑자기 자신이 사람들의 자리를 정해주기로 했습니다.

  • 이 파티의 규칙대로 한 부부의 남편과 아내는 서로 반대편에 앉아야 합니다.
  • 순수하고 낯을 많이 가리는 보람이는 철승이쪽만을 바라봅니다. 그래서 철승이가 앉은 줄에 불륜 관계인 두 사람이 앉을 수 없습니다.

철승이가 사람들의 자리를 배치하는 것을 도와줍시다. 어떤 사람들이 보람이와 같은 방향에 앉아야 할 지 정해야 합니다.

입력

입력은 여러 테스트 케이스로 구성되어있다.

각 테스트 케이스의 첫 줄에는 커플의 수 N과, 불륜 관계의 수 M이 주어진다. (N ≤ 30, M ≤ 50)

그 후 M줄에 걸쳐 불륜 관계를 이루는 두 사람의 번호가 주어진다. 예를 들어 "4h 2w"는 4번째 커플의 남편과 두 번째 커플의 아내가 불륜 관계라는 의미이다. 각 부부는 서로 이성이지만, 불륜 관계는 동성간에도 일어날 수 있음에 주의하라. 단 0h, 0w는 무조건 철승이와 보람이를 나타낸다.

N과 M이 0 0으로 주어지면 프로그램을 종료한다.

출력

각 테스트 케이스 별로 조건들을 만족하였을 때 보람이 쪽에 앉아야하는 사람들의 번호를 오름차순으로 출력하시오. 조건을 만족하는 배치가 여러 가지 있을 수 있으므로, 그 중 하나만 출력하면 된다. 만약 해당 테스트 케이스에 답이 존재할 수 없다면, "bad luck"을 출력한다.

예제 입력 1

10 6
3h 7h
5w 3w
7h 6w
8w 3w
7h 3w
2w 5h
0 0

예제 출력 1

1h 2h 3w 4h 5h 6h 7h 8h 9h
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(N &le; 30, M &le; 50)<\/p>\r\n\r\n<p>\uadf8 \ud6c4 M\uc904\uc5d0 \uac78\uccd0 \ubd88\ub95c \uad00\uacc4\ub97c \uc774\ub8e8\ub294 \ub450 \uc0ac\ub78c\uc758 \ubc88\ud638\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc608\ub97c \ub4e4\uc5b4 &quot;4h 2w&quot;\ub294 4\ubc88\uc9f8 \ucee4\ud50c\uc758 \ub0a8\ud3b8\uacfc \ub450 \ubc88\uc9f8 \ucee4\ud50c\uc758 \uc544\ub0b4\uac00 \ubd88\ub95c \uad00\uacc4\ub77c\ub294 \uc758\ubbf8\uc774\ub2e4. \uac01 \ubd80\ubd80\ub294 \uc11c\ub85c \uc774\uc131\uc774\uc9c0\ub9cc, \ubd88\ub95c \uad00\uacc4\ub294 \ub3d9\uc131\uac04\uc5d0\ub3c4 \uc77c\uc5b4\ub0a0 \uc218 \uc788\uc74c\uc5d0 \uc8fc\uc758\ud558\ub77c. \ub2e8 0h, 0w\ub294 \ubb34\uc870\uac74 \ucca0\uc2b9\uc774\uc640 \ubcf4\ub78c\uc774\ub97c \ub098\ud0c0\ub0b8\ub2e4.<\/p>\r\n\r\n<p>N\uacfc M\uc774 0 0\uc73c\ub85c \uc8fc\uc5b4\uc9c0\uba74 \ud504\ub85c\uadf8\ub7a8\uc744 \uc885\ub8cc\ud55c\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4 \ubcc4\ub85c \uc870\uac74\ub4e4\uc744 \ub9cc\uc871\ud558\uc600\uc744 \ub54c \ubcf4\ub78c\uc774 \ucabd\uc5d0 \uc549\uc544\uc57c\ud558\ub294 \uc0ac\ub78c\ub4e4\uc758 \ubc88\ud638\ub97c \uc624\ub984\ucc28\uc21c\uc73c\ub85c \ucd9c\ub825\ud558\uc2dc\uc624. \uc870\uac74\uc744 \ub9cc\uc871\ud558\ub294 \ubc30\uce58\uac00 \uc5ec\ub7ec \uac00\uc9c0 \uc788\uc744 \uc218 \uc788\uc73c\ubbc0\ub85c, \uadf8 \uc911 \ud558\ub098\ub9cc \ucd9c\ub825\ud558\uba74 \ub41c\ub2e4. \ub9cc\uc57d \ud574\ub2f9 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub2f5\uc774 \uc874\uc7ac\ud560 \uc218 \uc5c6\ub2e4\uba74, &quot;bad luck&quot;\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"4230","problem_lang":"1","title":"Wedding","description":"<p>Up to thirty couples will attend a wedding feast, at which they will be seated on either side of a long table. The bride and groom sit at one end, opposite each other, and the bride wears an elaborate headdress that keeps her from seeing people on the same side as her. It is considered bad luck to have a husband and wife seated on the same side of the table. Additionally, there are several pairs of people conducting adulterous relationships (both different-sex and same-sex relationships are possible), and it is bad luck for the bride to see both members of such a pair. Your job is to arrange people at the table so as to avoid any bad luck.<\/p>\r\n","input":"<p>The input consists of a number of test cases, followed by a line containing 0 0. Each test case gives n, the number of couples, followed by the number of adulterous pairs, followed by the pairs, in the form &quot;4h 2w&quot; (husband from couple 4, wife from couple 2), or &quot;10w 4w&quot;, or &quot;3h 1h&quot;. Couples are numbered from 0 to n-1 with the bride and groom being 0w and 0h.<\/p>\r\n","output":"<p>For each case, output a single line containing a list of the people that should be seated on the same side as the bride. If there are several solutions, any one will do. If there is no solution, output a line containing &quot;bad luck&quot;.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

Contest > Waterloo's local Programming Contests > 29 September, 2007 E번

  • 문제의 오타를 찾은 사람: khj94811
  • 빠진 조건을 찾은 사람: kks227
  • 문제를 번역한 사람: mitslll