시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 146 68 65 50.388%

문제

"그 뉴스" 를 보고 온 가족이 들떴습니다. 모두들 할아버지께서 수 십년간 굉장히 실력있는  브릿지(카드게임의 일종) 선수였다는 것은 알고 있었지만, 할아버지가 역대 최고의 bridge 선수로서 기네스북에 오른다는 소식은 정말이지 놀라웠죠!

IBA(국제 브릿지 협회)는 수 년간, 매주 가장 실력있는 선수들의 랭킹 정보를 기록해왔습니다.  매주 랭킹에 선수의 이름이 오를 때마다 선수의 포인트가 1포인트씩 오르는데, 할아버지께서 가장 많은 포인트를 얻어서 최고의 브릿지 선수로 선정되었습니다.

할아버지께는 그와 브릿지 순위를 경쟁하는 친구들이 많이 있었기 때문에, 할아버지는 어떤 선수(들)가 2등을 했는지 정말 궁금하셨습니다.  

IBA 랭킹 정보는 이제 온라인에 올라와 있고, 할아버지께서 당신에게 도움을 요청했습니다. 당신은 매주마다의 랭킹 정보 리스트를 인풋으로 받아 2등 선수가 누구인지 알아내는 프로그램을 짜야 합니다.

입력

각 선수는 1~10000까지의 정수(선수 번호)로 식별됩니다. 인풋은 여러 테스트 케이스들로 구성됩니다.

테스트 케이스의 첫 행에는 두 정수 N과 M이 주어지는데, 다음 행부터 N(2<=N<=500)주 동안의 매주 상위 M(2<=M<=500)명의 랭킹 정보가 주어짐을 의미합니다.

그 다음 N행의 인풋이 주어지는데 각 행은 한 주의 랭킹 정보입니다. 각 행은 공백으로 구분되는 M개의 정수들이 주어집니다.  

  • 각 테스트 케이스에는 최고점의 선수가 단 한 명만 존재합니다.
  • 매주마다의 랭킹 정보에는 서로 다른 M개의 선수 번호가 주어집니다.

N과 M이 모두 0으로 주어지는 행이 인풋의 마지막입니다.

출력

각 테스트 케이스마다,  당신의 프로그램은 한 행에 2등인 선수(들)의 번호를 출력해야 합니다. 2등인 선수가 두 명 이상인 경우(동점자 발생), 각 선수 번호를 공백으로 구분하여 오름차순으로 출력해야 합니다.

예제 입력 1

4 5
20 33 25 32 99
32 86 99 25 10
20 99 10 33 86
19 33 74 99 32
3 6
2 34 67 36 79 93
100 38 21 76 91 85
32 23 85 31 88 1
0 0

예제 출력 1

32 33
1 2 21 23 31 32 34 36 38 67 76 79 88 91 93 100
[{"problem_id":"5766","problem_lang":"0","title":"\ud560\uc544\ubc84\uc9c0\ub294 \uc720\uba85\ud574!","description":"<p>&quot;\uadf8 \ub274\uc2a4&quot;&nbsp;\ub97c \ubcf4\uace0 \uc628 \uac00\uc871\uc774 \ub4e4\ub5b4\uc2b5\ub2c8\ub2e4. \ubaa8\ub450\ub4e4 \ud560\uc544\ubc84\uc9c0\uaed8\uc11c \uc218 \uc2ed\ub144\uac04 \uad49\uc7a5\ud788 \uc2e4\ub825\uc788\ub294&nbsp;&nbsp;\ube0c\ub9bf\uc9c0(\uce74\ub4dc\uac8c\uc784\uc758 \uc77c\uc885) \uc120\uc218\uc600\ub2e4\ub294&nbsp;\uac83\uc740 \uc54c\uace0 \uc788\uc5c8\uc9c0\ub9cc, \ud560\uc544\ubc84\uc9c0\uac00 \uc5ed\ub300 \ucd5c\uace0\uc758 bridge \uc120\uc218\ub85c\uc11c \uae30\ub124\uc2a4\ubd81\uc5d0 \uc624\ub978\ub2e4\ub294&nbsp;\uc18c\uc2dd\uc740 \uc815\ub9d0\uc774\uc9c0 \ub180\ub77c\uc6e0\uc8e0!<\/p>\r\n\r\n<p>IBA(\uad6d\uc81c \ube0c\ub9bf\uc9c0 \ud611\ud68c)\ub294 \uc218 \ub144\uac04, \ub9e4\uc8fc&nbsp;\uac00\uc7a5 \uc2e4\ub825\uc788\ub294 \uc120\uc218\ub4e4\uc758 \ub7ad\ud0b9 \uc815\ubcf4\ub97c&nbsp;\uae30\ub85d\ud574\uc654\uc2b5\ub2c8\ub2e4. &nbsp;\ub9e4\uc8fc \ub7ad\ud0b9\uc5d0 \uc120\uc218\uc758 \uc774\ub984\uc774 \uc624\ub97c \ub54c\ub9c8\ub2e4 \uc120\uc218\uc758 \ud3ec\uc778\ud2b8\uac00 1\ud3ec\uc778\ud2b8\uc529 \uc624\ub974\ub294\ub370, \ud560\uc544\ubc84\uc9c0\uaed8\uc11c \uac00\uc7a5 \ub9ce\uc740 \ud3ec\uc778\ud2b8\ub97c \uc5bb\uc5b4\uc11c \ucd5c\uace0\uc758 \ube0c\ub9bf\uc9c0 \uc120\uc218\ub85c \uc120\uc815\ub418\uc5c8\uc2b5\ub2c8\ub2e4.<\/p>\r\n\r\n<p>\ud560\uc544\ubc84\uc9c0\uaed8\ub294 \uadf8\uc640 \ube0c\ub9bf\uc9c0 \uc21c\uc704\ub97c \uacbd\uc7c1\ud558\ub294 \uce5c\uad6c\ub4e4\uc774 \ub9ce\uc774 \uc788\uc5c8\uae30 \ub54c\ubb38\uc5d0, \ud560\uc544\ubc84\uc9c0\ub294 \uc5b4\ub5a4 \uc120\uc218(\ub4e4)\uac00 2\ub4f1\uc744 \ud588\ub294\uc9c0 \uc815\ub9d0 \uad81\uae08\ud558\uc168\uc2b5\ub2c8\ub2e4. &nbsp;<\/p>\r\n\r\n<p>IBA \ub7ad\ud0b9 \uc815\ubcf4\ub294 \uc774\uc81c&nbsp;\uc628\ub77c\uc778\uc5d0 \uc62c\ub77c\uc640 \uc788\uace0, \ud560\uc544\ubc84\uc9c0\uaed8\uc11c \ub2f9\uc2e0\uc5d0\uac8c \ub3c4\uc6c0\uc744 \uc694\uccad\ud588\uc2b5\ub2c8\ub2e4. \ub2f9\uc2e0\uc740 \ub9e4\uc8fc\ub9c8\ub2e4\uc758 \ub7ad\ud0b9 \uc815\ubcf4 \ub9ac\uc2a4\ud2b8\ub97c \uc778\ud48b\uc73c\ub85c \ubc1b\uc544 2\ub4f1 \uc120\uc218\uac00 \ub204\uad6c\uc778\uc9c0 \uc54c\uc544\ub0b4\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc9dc\uc57c \ud569\ub2c8\ub2e4.<\/p>\r\n","input":"<p>\uac01 \uc120\uc218\ub294 1~10000\uae4c\uc9c0\uc758 \uc815\uc218(\uc120\uc218 \ubc88\ud638)\ub85c \uc2dd\ubcc4\ub429\ub2c8\ub2e4. \uc778\ud48b\uc740 \uc5ec\ub7ec \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub4e4\ub85c \uad6c\uc131\ub429\ub2c8\ub2e4.<\/p>\r\n\r\n<p>\ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab \ud589\uc5d0\ub294 \ub450 \uc815\uc218 N\uacfc M\uc774 \uc8fc\uc5b4\uc9c0\ub294\ub370, \ub2e4\uc74c \ud589\ubd80\ud130 N(2&lt;=N&lt;=500)\uc8fc \ub3d9\uc548\uc758 \ub9e4\uc8fc \uc0c1\uc704 M(2&lt;=M&lt;=500)\uba85\uc758 \ub7ad\ud0b9 \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9d0\uc744 \uc758\ubbf8\ud569\ub2c8\ub2e4.<\/p>\r\n\r\n<p>\uadf8 \ub2e4\uc74c N\ud589\uc758 \uc778\ud48b\uc774 \uc8fc\uc5b4\uc9c0\ub294\ub370 \uac01 \ud589\uc740 \ud55c \uc8fc\uc758 \ub7ad\ud0b9 \uc815\ubcf4\uc785\ub2c8\ub2e4. \uac01 \ud589\uc740 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\ub294 M\uac1c\uc758 \uc815\uc218\ub4e4\uc774 \uc8fc\uc5b4\uc9d1\ub2c8\ub2e4. &nbsp;<\/p>\r\n\r\n<ul>\r\n\t<li>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0\ub294 \ucd5c\uace0\uc810\uc758 \uc120\uc218\uac00 \ub2e8&nbsp;\ud55c \uba85\ub9cc \uc874\uc7ac\ud569\ub2c8\ub2e4.<\/li>\r\n\t<li>\ub9e4\uc8fc\ub9c8\ub2e4\uc758 \ub7ad\ud0b9 \uc815\ubcf4\uc5d0\ub294 \uc11c\ub85c \ub2e4\ub978 M\uac1c\uc758 \uc120\uc218 \ubc88\ud638\uac00 \uc8fc\uc5b4\uc9d1\ub2c8\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>N\uacfc M\uc774 \ubaa8\ub450 0\uc73c\ub85c \uc8fc\uc5b4\uc9c0\ub294 \ud589\uc774 \uc778\ud48b\uc758 \ub9c8\uc9c0\ub9c9\uc785\ub2c8\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4,&nbsp; \ub2f9\uc2e0\uc758 \ud504\ub85c\uadf8\ub7a8\uc740 \ud55c \ud589\uc5d0 2\ub4f1\uc778 \uc120\uc218(\ub4e4)\uc758 \ubc88\ud638\ub97c \ucd9c\ub825\ud574\uc57c \ud569\ub2c8\ub2e4. 2\ub4f1\uc778 \uc120\uc218\uac00 \ub450 \uba85 \uc774\uc0c1\uc778 \uacbd\uc6b0(\ub3d9\uc810\uc790 \ubc1c\uc0dd), \uac01 \uc120\uc218 \ubc88\ud638\ub97c \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ud558\uc5ec \uc624\ub984\ucc28\uc21c\uc73c\ub85c \ucd9c\ub825\ud574\uc57c \ud569\ub2c8\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"5766","problem_lang":"1","title":"Grandpa is Famous","description":"<p>The whole family was excited by the news. Everyone knew grandpa had been an extremely good bridge player for decades, but when it was announced he would be in the Guinness Book of World Records as the most successful bridge player ever, whow, that was astonishing!<\/p>\r\n\r\n<p>The International Bridge Association (IBA) has maintained, for several years, a weekly ranking of the best players in the world. Considering that each appearance in a weekly ranking constitutes a point for the player, grandpa was nominated the best player ever because he got the highest number of points.<\/p>\r\n\r\n<p>Having many friends who were also competing against him, grandpa is extremely curious to know which player(s) took the second place. Since the IBA rankings are now available in the internet he turned to you for help. He needs a program which, when given a list of weekly rankings, finds out which player(s) got the second place according to the number of points.<\/p>\r\n","input":"<p>The input contains several test cases. Players are identified by integers from 1 to 10000. The first line of a test case contains two integers N and M indicating respectively the number of rankings available (2 &le; N &le; 500) and the number of players in each ranking (2 &le; M &le; 500). Each of the next N lines contains the description of one weekly ranking. Each description is composed by a sequence of M integers, separated by a blank space, identifying the players who figured in that weekly ranking. You can assume that:<\/p>\r\n\r\n<ul>\r\n\t<li>in each test case there is exactly one best player and at least one second best player,<\/li>\r\n\t<li>each weekly ranking consists of M distinct player identifiers.<\/li>\r\n<\/ul>\r\n\r\n<p>The end of input is indicated by N = M = 0.<\/p>\r\n","output":"<p>For each test case in the input your program must produce one line of output, containing the identification number of the player who is second best in number of appearances in the rankings. If there is a tie for second best, print the identification numbers of all second best players in increasing order. Each identification number produced must be followed by a blank space.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]