시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB5891917626.207%

문제

상근이는 개인이 소유한 한 중소기업의 CEO이다. 이 회사의 소유주는 자신의 아들 정인이를 회사의 팀장으로 임명했다. 상근이는 정인이가 일을 잘하면 소유주가 CEO자리를 정인이에게 줄 것이라고 생각한다. 다행히 그는 정인이의 팀에 속하는 사람을 정할 수 있다. 따라서 상근이는 정인이를 위해 최대한 일을 못하는 팀을 만들려고 한다.

상근이는 같은 팀에 속했을 때, 일을 못하는 사람들의 쌍을 모두 알고 있다. 상근이는 팀의 난이도라는 말을 주로 사용하는데, 이것은 같은 팀에 속했을 때, 일을 못하는 쌍의 수를 팀원의 수로 나눈 값이다. 팀의 난이도가 높아질수록 팀을 관리하는 것은 매우 어렵다.

팀의 난이도가 가장 높은 그룹을 찾는 프로그램을 작성하시오.

위와 같은 경우에 난이도가 가장 높은 팀은 1, 2, 4, 5로 구성된 팀이다. 총 5개의 쌍이 일을 못하는 사람의 쌍이고, 이를 팀원의 수로 나누면 5/4가 된다. 예를 들어, 이 팀에 3을 추가하면, 난이도는 6/5로 감소하게 된다.

입력

입력의 첫째 줄에는 직원의 수 n과 같은 팀에 속하면 일을 못하는 쌍의 수 m이 주어진다. (1 ≤ n ≤ 100, 0 ≤ m ≤ 1000)

다음 m개 줄에는 쌍에 속하는 두 사람의 번호 ai와 bi가 주어진다. (1 ≤ ai, bi ≤ n, ai ≠ bi) 같은 쌍이 두 번 주어지는 경우는 없다.

출력

첫째 줄에는 가장 난이도가 높은 팀에 속하는 사람의 수 k (1 ≤ k ≤ n)를 출력한다. 그 다음 k개 줄에는 팀에 속하는 사람의 번호를 오름차순으로 출력한다. 난이도가 가장 높은 팀이 여럿인 경우에는 아무거나 출력한다.

예제 입력 1

5 6
1 5
5 4
4 2
2 5
1 2
3 1

예제 출력 1

4
1
2
4
5
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(1 &le; n &le; 100, 0 &le; m &le; 1000)<\/p>\r\n\r\n<p>\ub2e4\uc74c m\uac1c \uc904\uc5d0\ub294 \uc30d\uc5d0 \uc18d\ud558\ub294 \ub450 \uc0ac\ub78c\uc758 \ubc88\ud638 a<sub>i<\/sub>\uc640 b<sub>i<\/sub>\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; a<sub>i<\/sub>, b<sub>i<\/sub> &le; n, a<sub>i<\/sub> &ne; b<sub>i<\/sub>) \uac19\uc740 \uc30d\uc774 \ub450 \ubc88 \uc8fc\uc5b4\uc9c0\ub294 \uacbd\uc6b0\ub294 \uc5c6\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0\ub294 \uac00\uc7a5 \ub09c\uc774\ub3c4\uac00 \ub192\uc740 \ud300\uc5d0 \uc18d\ud558\ub294 \uc0ac\ub78c\uc758 \uc218 k (1 &le; k&nbsp;&le; n)\ub97c \ucd9c\ub825\ud55c\ub2e4. \uadf8 \ub2e4\uc74c k\uac1c \uc904\uc5d0\ub294 \ud300\uc5d0 \uc18d\ud558\ub294 \uc0ac\ub78c\uc758 \ubc88\ud638\ub97c \uc624\ub984\ucc28\uc21c\uc73c\ub85c \ucd9c\ub825\ud55c\ub2e4. \ub09c\uc774\ub3c4\uac00 \uac00\uc7a5 \ub192\uc740 \ud300\uc774 \uc5ec\ub7ff\uc778 \uacbd\uc6b0\uc5d0\ub294 \uc544\ubb34\uac70\ub098 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"3611","problem_lang":"1","title":"Hard Life","description":"<p>John is a Chief Executive O\ufb03cer at a privately owned medium size company. The owner of the company has decided to make his son Scott a manager in the company. John fears that the owner will ultimately give CEO position to Scott if he does well on his new manager position, so he decided to make Scott&rsquo;s life as hard as possible by carefully selecting the team he is going to manage in the company.<\/p>\r\n\r\n<p>John knows which pairs of his people work poorly in the same team. John introduced a hardness factor of a team &mdash; it is a number of pairs of people from this team who work poorly in the same team divided by the total number of people in the team. The larger is the hardness factor, the harder is this team to manage. John wants to \ufb01nd a group of people in the company that are harderst to manage and make it Scott&rsquo;s team. Please, help him.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/hardteam.png\" style=\"height:154px; width:155px\" \/><\/p>\r\n\r\n<p>In the example on the picture the hardest team consists of people 1, 2, 4, and 5. Among 4 of them 5 pairs work poorly in the same team, thus hardness factor is equal to 5\/4. If we add person number 3 to the team then hardness factor decreases to 6\/5.<\/p>\r\n","input":"<p>The \ufb01rst line of the input \ufb01le contains two integer numbers n and m (1 &le; n &le; 100, 0 &le; m &le; 1000). Here n is a total number of people in the company (people are numbered from 1 to n), and m is the number of pairs of people who work poorly in the same team. Next m lines describe those pairs with two integer numbers a<sub>i<\/sub> and b<sub>i<\/sub>&nbsp;(1 &le; a<sub>i<\/sub>, b<sub>i<\/sub>&nbsp;&le; n, a<sub>i<\/sub>&nbsp;&ne; b<sub>i<\/sub>) on a line. The order of people in a pair is arbitrary and no pair is listed twice.<\/p>\r\n","output":"<p>Write to the output \ufb01le an integer number k (1 &le; k &le; n) &mdash; the number of people in the hardest team,&nbsp;followed by k lines listing people from this team in ascending order. If there are multiple teams with the&nbsp;same hardness factor then write any one.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

ICPC > Regionals > Northern Eurasia > Northern Eurasia Finals > NEERC 2006 H번