시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 128 MB93191442.424%

문제

상근이는 지금 사악한 토끼들에게 위협받고 있다. 다행히도 상근이는 젊은 시절 편의점 아르바이트로 어마어마한 돈을 모은 덕분에 집에 초고성능 감시카메라를 설치할 수가 있다. 이 카메라는 매우 섬세하게 영상을 분석하여 몇 개의 점과 선으로 이루어진 영상을 전송해 준다. 하지만, 이 점과 선들로는 지금 집에 토끼가 들어왔는지 안전한지의 여부를 명확히 구분할 수가 없기 때문에 상근이는 마음 놓고 잠을 잘 수가 없다.

상근이는 두 가지 사실을 알고 있다. 모든 토끼는 네 개의 발을 갖고 있으며, 그 네 개의 발을 잇는 몸통으로 이루어져 있다는 것이다.

이제 상근이를 위해 감시 카메라가 포착한 영상에 토끼가 있을 가능성이 있는지를 판정하는 프로그램을 작성해주도록 하자.

입력

입력은 여러 테스트 케이스로 이루어져 있다.

테스트 케이스의 첫 줄에는 두 정수 n과 m이 공백으로 구분되어 주어진다. (0 ≤ n ≤ 10 000, 0 ≤ m ≤ 20 000)

n은 영상에 등장한 점의 개수이며, m은 선의 개수이다.

다음 m줄엔 두 정수 x와 y가 주어진다. (1 ≤ x, y ≤ n)

이는 x번째 점과 y번째 점을 직접 잇는 선분이 존재한다는 의미이다.

모든 테스트 케이스에 대해 어떤 두 점도 두 개 이상의 선분으로 연결되어 있지 않으며, 어떤 점도 자기 자신과 연결되어 있지 않다.

출력

각각의 입력에 대해, 만일 토끼가 존재할 가능성이 있다면 "YES" 를, 토끼가 없다면 "NO" 를 출력하면 된다. 만일 영상이 연결되어 있는 상태를 유지하며 몇 개의 점과 선을 제거하고 정확히 4개의 발을 가진 몸통을 만들 수 있다면, 토끼는 존재할 수 있다.

영상이 연결되어 있다는 것은 모든 두 점이 하나 혹은 그 이상의 선을 통해 연결되어 있다는 것을 의미하며, 발이라는 것은 정확히 하나의 다른 점과만 연결되며 단 하나의 선분으로 직접 연결되어 있는 한 점을 의미한다.

예제 입력 1

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

예제 출력 1

NO
YES
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(0 &le; n &le; 10 000, 0 &le; m &le; 20 000)<\/p>\r\n\r\n<p>n\uc740 \uc601\uc0c1\uc5d0 \ub4f1\uc7a5\ud55c \uc810\uc758 \uac1c\uc218\uc774\uba70, m\uc740 \uc120\uc758 \uac1c\uc218\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c m\uc904\uc5d4 \ub450 \uc815\uc218 x\uc640 y\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.&nbsp;(1 &le; x, y &le; n)<\/p>\r\n\r\n<p>\uc774\ub294 x\ubc88\uc9f8 \uc810\uacfc y\ubc88\uc9f8 \uc810\uc744 \uc9c1\uc811&nbsp;\uc787\ub294 \uc120\ubd84\uc774 \uc874\uc7ac\ud55c\ub2e4\ub294 \uc758\ubbf8\uc774\ub2e4.<\/p>\r\n\r\n<p>\ubaa8\ub4e0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574&nbsp;\uc5b4\ub5a4 \ub450 \uc810\ub3c4 \ub450 \uac1c \uc774\uc0c1\uc758 \uc120\ubd84\uc73c\ub85c \uc5f0\uacb0\ub418\uc5b4 \uc788\uc9c0 \uc54a\uc73c\uba70, \uc5b4\ub5a4 \uc810\ub3c4 \uc790\uae30 \uc790\uc2e0\uacfc \uc5f0\uacb0\ub418\uc5b4 \uc788\uc9c0 \uc54a\ub2e4.<\/p>\r\n","output":"<p>\uac01\uac01\uc758 \uc785\ub825\uc5d0 \ub300\ud574, \ub9cc\uc77c \ud1a0\ub07c\uac00 \uc874\uc7ac\ud560 \uac00\ub2a5\uc131\uc774 \uc788\ub2e4\uba74 &quot;YES&quot; \ub97c, \ud1a0\ub07c\uac00 \uc5c6\ub2e4\uba74 &quot;NO&quot; \ub97c \ucd9c\ub825\ud558\uba74 \ub41c\ub2e4. \ub9cc\uc77c \uc601\uc0c1\uc774 \uc5f0\uacb0\ub418\uc5b4 \uc788\ub294 \uc0c1\ud0dc\ub97c \uc720\uc9c0\ud558\uba70&nbsp;\uba87 \uac1c\uc758 \uc810\uacfc \uc120\uc744 \uc81c\uac70\ud558\uace0 \uc815\ud655\ud788 4\uac1c\uc758 \ubc1c\uc744 \uac00\uc9c4 \ubab8\ud1b5\uc744 \ub9cc\ub4e4 \uc218 \uc788\ub2e4\uba74, \ud1a0\ub07c\ub294 \uc874\uc7ac\ud560 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc601\uc0c1\uc774 \uc5f0\uacb0\ub418\uc5b4 \uc788\ub2e4\ub294 \uac83\uc740 \ubaa8\ub4e0 \ub450 \uc810\uc774 \ud558\ub098 \ud639\uc740 \uadf8 \uc774\uc0c1\uc758 \uc120\uc744 \ud1b5\ud574 \uc5f0\uacb0\ub418\uc5b4 \uc788\ub2e4\ub294 \uac83\uc744 \uc758\ubbf8\ud558\uba70, \ubc1c\uc774\ub77c\ub294 \uac83\uc740&nbsp;\uc815\ud655\ud788 \ud558\ub098\uc758 \ub2e4\ub978 \uc810\uacfc\ub9cc \uc5f0\uacb0\ub418\uba70 \ub2e8 \ud558\ub098\uc758 \uc120\ubd84\uc73c\ub85c \uc9c1\uc811 \uc5f0\uacb0\ub418\uc5b4 \uc788\ub294 \ud55c \uc810\uc744 \uc758\ubbf8\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"9275","problem_lang":"1","title":"Furry Nuisance","description":"<p>In order to protect himself from evil bunnies, Freddy decided to install an automatic system to detect them in pictures from surveillance cameras. 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