시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
2 초 128 MB 36 15 9 47.368%

문제

어떤 나라에는 커다란 담장이 여러 개 건설되어, 한 담장의 양 끝은 정확히 두 마을과 연결이 돼 있다. 이 문제에서 마을은 점으로, 담장은 마을을 연결하는 선으로 표현된다. 담끼리 교차하는 경우는 없다. 그래서 이 나라는 담장 때문에 국토가 여러 "구역"으로 나눠지게 되는데, 한 구역에서 다른 구역으로 가려면 마을을 통과하거나 담을 넘어야 한다. 각 담장들은 모두 서로 이어져 있기 때문에 임의의 마을 A와 B에 대해서 한쪽 끝이 A이거나 B인 담장이 반드시 존재하며, 고립돼 있는 마을이 없다. 또한 담장만 따라 걸어가면 A에서 B까지 갈 수 있다.

이들 마을에 사는 사람들을 대상으로 하는 모임이 하나 있다. 각 마을마다 최대 한 명이 모임에 가입해 있으며, 모임에 가입한 사람이 한 명도 없는 마을도 있다. 그런데, 모임에 든 사람들이 마을 바깥에 있는 한 구역에서 만나고 싶어한다. 여기 회원들은 자전거를 타고 그 약속장소로 가는데, 교통 문제 때문에 마을을 통과하지 않으려 한다. 그리고 가는 과정에서 담장은 가능한 한 적게 넘고 싶다. 이들은, 도착하기 위해 각 회원들이 담장을 넘어야 하는 횟수의 합이 가장 적게 되는 곳을 찾아 거기서 모이기를 원한다.

마을은 1부터 N까지 번호가 매겨져 있다. (N은 마을의 총 개수) 그림 1을 보면, 정점은 마을을 나타내고, 정점들을 잇는 선은 담장을 나타낸다. 그리고 모임에 든 사람은 3번, 6번, 9번 마을에 한 사람씩 있다고 가정하자. 이때, 이 사람들이 전체적으로 담장을 가장 적게 거쳐서 모일 수 있는 적합한 곳은 그림 2에 나타나 있는 구역이다. 각 마을 사람이 화살표 친 대로 이동하면 되는 것이다. 담장을 넘은 총횟수는 2이다. 6번 사람이 4번과 7번 마을 사이에 있는 담을 넘어야 하고, 9번 사람이 2번과 4번 마을 사이에 있는 담을 넘었기 때문이다.

마을과 담장, 그리고 모임에 속한 사람들에 대한 자료를 입력받아, 모이기에 가장 적합한 구역을 고르고 담장을 넘는 총횟수의 최솟값을 구하는 프로그램을 작성하라.

입력

첫째 줄에는 구역의 개수 M이있다(2<=M<= 200). (그림 1을 살펴보면 생겨난 다각형 개수가 경계 바깥을 포함해서 10개임을 알 수 있다. 그 개수를 일컫는다.) 둘째 줄에는 마을(그림에서 꼭짓점)의 개수 N이있다(2<=N<= 250). 셋째 줄에는 모임에 든 회원의 수 L이 들어있다(1<=L<=30, L<=N). 그리고 넷째 줄에는 각 회원이 사는 마을의 번호를 나타내는 L개의 정수가 오름차순으로 들어있다.

그리고 다음에는 2M개의 줄이 있으며, 한 구역에 대한 정보가 두 줄에 걸쳐 들어있다. 거기서 첫줄에는 이 구역이 감싸는 마을의 개수 I가 들어있으며, 다음줄에는 이 구역의 경계를 이루는 마을 I개의 번호가 시계 방향 순서로 들어있다. 다만, 한 가지 예외가 있는데, 가장 마지막에 있는 구역은(M째 구역) 마을 전체의 바깥을 이루는 구역에 대한 정보이다. 이 구역을 다룰 때만은 가장 바깥을 감싸고 있는 마을들의 번호가 반시계 방향 순서로 제시된다. 이렇듯 입력 파일에는 담과 마을로 인해 생겨난 모든 구역에 대한 정보가 바깥쪽 구역까지 포함해서 모두 들어있다.

구역은 입력 파일에 수록돼 있는 순서가 곧 그 구역을 지정하는 번호가 된다. 가장 먼저 나오는 구역이 1번 구역, 그 다음에 있는 구역이 2번이다. 즉, 모이기에 가장 적합한 구역을 가리킬 때는 입력 파일에서 몇째로 나온 구역인지를 출력하면 된다.

출력

첫째 줄에는 답안 프로그램이 구한 총횟수의 최솟값을 출력한다. 둘째 줄에는 담장을 가장 적게 넘고 만날 수 있는 구역의 번호를 출력한다. 그런 구역이 여러 개 있을 수 있더라도 한 곳만 출력하면 된다.

예제 입력 1

10
10
3
3 6 9
3
1 2 3
3
1 3 7
4
2 4 7 3
3
4 6 7
3
4 8 6
3
6 8 7
3
4 5 8
4
7 8 10 9
3
5 10 8
7
7 9 10 5 4 2 1

예제 출력 1

2
3
[{"problem_id":"2364","problem_lang":"0","title":"\ub2f4\uc7a5 \ub108\uba38\ub85c","description":"<p>\uc5b4\ub5a4 \ub098\ub77c\uc5d0\ub294 \ucee4\ub2e4\ub780 \ub2f4\uc7a5\uc774 \uc5ec\ub7ec \uac1c \uac74\uc124\ub418\uc5b4, \ud55c \ub2f4\uc7a5\uc758 \uc591 \ub05d\uc740 \uc815\ud655\ud788 \ub450 \ub9c8\uc744\uacfc \uc5f0\uacb0\uc774 \ub3fc \uc788\ub2e4. \uc774 \ubb38\uc81c\uc5d0\uc11c \ub9c8\uc744\uc740 \uc810\uc73c\ub85c, \ub2f4\uc7a5\uc740 \ub9c8\uc744\uc744 \uc5f0\uacb0\ud558\ub294 \uc120\uc73c\ub85c \ud45c\ud604\ub41c\ub2e4. \ub2f4\ub07c\ub9ac \uad50\ucc28\ud558\ub294 \uacbd\uc6b0\ub294 \uc5c6\ub2e4. \uadf8\ub798\uc11c \uc774 \ub098\ub77c\ub294 \ub2f4\uc7a5 \ub54c\ubb38\uc5d0 \uad6d\ud1a0\uac00 \uc5ec\ub7ec &quot;\uad6c\uc5ed&quot;\uc73c\ub85c \ub098\ub220\uc9c0\uac8c \ub418\ub294\ub370, \ud55c \uad6c\uc5ed\uc5d0\uc11c \ub2e4\ub978 \uad6c\uc5ed\uc73c\ub85c \uac00\ub824\uba74 \ub9c8\uc744\uc744 \ud1b5\uacfc\ud558\uac70\ub098 \ub2f4\uc744 \ub118\uc5b4\uc57c \ud55c\ub2e4. \uac01 \ub2f4\uc7a5\ub4e4\uc740 \ubaa8\ub450 \uc11c\ub85c \uc774\uc5b4\uc838 \uc788\uae30 \ub54c\ubb38\uc5d0 \uc784\uc758\uc758 \ub9c8\uc744 A\uc640 B\uc5d0 \ub300\ud574\uc11c \ud55c\ucabd \ub05d\uc774 A\uc774\uac70\ub098 B\uc778 \ub2f4\uc7a5\uc774 \ubc18\ub4dc\uc2dc \uc874\uc7ac\ud558\uba70, \uace0\ub9bd\ub3fc \uc788\ub294 \ub9c8\uc744\uc774 \uc5c6\ub2e4. \ub610\ud55c \ub2f4\uc7a5\ub9cc \ub530\ub77c \uac78\uc5b4\uac00\uba74 A\uc5d0\uc11c B\uae4c\uc9c0 \uac08 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc774\ub4e4 \ub9c8\uc744\uc5d0 \uc0ac\ub294 \uc0ac\ub78c\ub4e4\uc744 \ub300\uc0c1\uc73c\ub85c \ud558\ub294 \ubaa8\uc784\uc774 \ud558\ub098 \uc788\ub2e4. \uac01 \ub9c8\uc744\ub9c8\ub2e4 \ucd5c\ub300 \ud55c \uba85\uc774 \ubaa8\uc784\uc5d0 \uac00\uc785\ud574 \uc788\uc73c\uba70, \ubaa8\uc784\uc5d0 \uac00\uc785\ud55c \uc0ac\ub78c\uc774 \ud55c \uba85\ub3c4 \uc5c6\ub294 \ub9c8\uc744\ub3c4 \uc788\ub2e4. \uadf8\ub7f0\ub370, \ubaa8\uc784\uc5d0 \ub4e0 \uc0ac\ub78c\ub4e4\uc774 \ub9c8\uc744 \ubc14\uae65\uc5d0 \uc788\ub294 \ud55c \uad6c\uc5ed\uc5d0\uc11c \ub9cc\ub098\uace0 \uc2f6\uc5b4\ud55c\ub2e4. \uc5ec\uae30 \ud68c\uc6d0\ub4e4\uc740 \uc790\uc804\uac70\ub97c \ud0c0\uace0 \uadf8 \uc57d\uc18d\uc7a5\uc18c\ub85c \uac00\ub294\ub370, \uad50\ud1b5 \ubb38\uc81c \ub54c\ubb38\uc5d0 \ub9c8\uc744\uc744 \ud1b5\uacfc\ud558\uc9c0 \uc54a\uc73c\ub824 \ud55c\ub2e4. \uadf8\ub9ac\uace0 \uac00\ub294 \uacfc\uc815\uc5d0\uc11c \ub2f4\uc7a5\uc740 \uac00\ub2a5\ud55c \ud55c \uc801\uac8c \ub118\uace0 \uc2f6\ub2e4. \uc774\ub4e4\uc740, \ub3c4\ucc29\ud558\uae30 \uc704\ud574 \uac01 \ud68c\uc6d0\ub4e4\uc774 \ub2f4\uc7a5\uc744 \ub118\uc5b4\uc57c \ud558\ub294 \ud69f\uc218\uc758 \ud569\uc774 \uac00\uc7a5 \uc801\uac8c \ub418\ub294 \uacf3\uc744 \ucc3e\uc544 \uac70\uae30\uc11c \ubaa8\uc774\uae30\ub97c \uc6d0\ud55c\ub2e4.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" height=\"199\" src=\"\/JudgeOnline\/upload\/201103\/ww.png\" width=\"495\" \/><\/p>\r\n\r\n<p>\ub9c8\uc744\uc740 1\ubd80\ud130 N\uae4c\uc9c0 \ubc88\ud638\uac00 \ub9e4\uaca8\uc838 \uc788\ub2e4. (N\uc740 \ub9c8\uc744\uc758 \ucd1d \uac1c\uc218) \uadf8\ub9bc 1\uc744 \ubcf4\uba74, \uc815\uc810\uc740 \ub9c8\uc744\uc744 \ub098\ud0c0\ub0b4\uace0, \uc815\uc810\ub4e4\uc744 \uc787\ub294 \uc120\uc740 \ub2f4\uc7a5\uc744 \ub098\ud0c0\ub0b8\ub2e4. \uadf8\ub9ac\uace0 \ubaa8\uc784\uc5d0 \ub4e0 \uc0ac\ub78c\uc740 3\ubc88, 6\ubc88, 9\ubc88 \ub9c8\uc744\uc5d0 \ud55c \uc0ac\ub78c\uc529 \uc788\ub2e4\uace0 \uac00\uc815\ud558\uc790. \uc774\ub54c, \uc774 \uc0ac\ub78c\ub4e4\uc774 \uc804\uccb4\uc801\uc73c\ub85c \ub2f4\uc7a5\uc744 \uac00\uc7a5 \uc801\uac8c \uac70\uccd0\uc11c \ubaa8\uc77c \uc218 \uc788\ub294 \uc801\ud569\ud55c \uacf3\uc740 \uadf8\ub9bc 2\uc5d0 \ub098\ud0c0\ub098 \uc788\ub294 \uad6c\uc5ed\uc774\ub2e4. \uac01 \ub9c8\uc744 \uc0ac\ub78c\uc774 \ud654\uc0b4\ud45c \uce5c \ub300\ub85c \uc774\ub3d9\ud558\uba74 \ub418\ub294 \uac83\uc774\ub2e4. \ub2f4\uc7a5\uc744 \ub118\uc740 \ucd1d\ud69f\uc218\ub294 2\uc774\ub2e4. 6\ubc88 \uc0ac\ub78c\uc774 4\ubc88\uacfc 7\ubc88 \ub9c8\uc744 \uc0ac\uc774\uc5d0 \uc788\ub294 \ub2f4\uc744 \ub118\uc5b4\uc57c \ud558\uace0, 9\ubc88 \uc0ac\ub78c\uc774 2\ubc88\uacfc 4\ubc88 \ub9c8\uc744 \uc0ac\uc774\uc5d0 \uc788\ub294 \ub2f4\uc744 \ub118\uc5c8\uae30 \ub54c\ubb38\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub9c8\uc744\uacfc \ub2f4\uc7a5, \uadf8\ub9ac\uace0 \ubaa8\uc784\uc5d0 \uc18d\ud55c \uc0ac\ub78c\ub4e4\uc5d0 \ub300\ud55c \uc790\ub8cc\ub97c \uc785\ub825\ubc1b\uc544, \ubaa8\uc774\uae30\uc5d0 \uac00\uc7a5 \uc801\ud569\ud55c \uad6c\uc5ed\uc744 \uace0\ub974\uace0&nbsp;\ub2f4\uc7a5\uc744 \ub118\ub294 \ucd1d\ud69f\uc218\uc758 \ucd5c\uc19f\uac12\uc744 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\ub77c.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0\ub294 \uad6c\uc5ed\uc758 \uac1c\uc218 M\uc774\uc788\ub2e4(2&lt;=M&lt;= 200). (\uadf8\ub9bc 1\uc744 \uc0b4\ud3b4\ubcf4\uba74 \uc0dd\uaca8\ub09c \ub2e4\uac01\ud615 \uac1c\uc218\uac00 \uacbd\uacc4 \ubc14\uae65\uc744 \ud3ec\ud568\ud574\uc11c 10\uac1c\uc784\uc744 \uc54c \uc218 \uc788\ub2e4. \uadf8 \uac1c\uc218\ub97c \uc77c\uceeb\ub294\ub2e4.) \ub458\uc9f8 \uc904\uc5d0\ub294 \ub9c8\uc744(\uadf8\ub9bc\uc5d0\uc11c \uaf2d\uc9d3\uc810)\uc758 \uac1c\uc218 N\uc774\uc788\ub2e4(2&lt;=N&lt;= 250). \uc14b\uc9f8 \uc904\uc5d0\ub294 \ubaa8\uc784\uc5d0 \ub4e0 \ud68c\uc6d0\uc758 \uc218 L\uc774 \ub4e4\uc5b4\uc788\ub2e4(1&lt;=L&lt;=30, L&lt;=N). \uadf8\ub9ac\uace0 \ub137\uc9f8 \uc904\uc5d0\ub294 \uac01 \ud68c\uc6d0\uc774 \uc0ac\ub294 \ub9c8\uc744\uc758 \ubc88\ud638\ub97c \ub098\ud0c0\ub0b4\ub294 L\uac1c\uc758 \uc815\uc218\uac00 \uc624\ub984\ucc28\uc21c\uc73c\ub85c \ub4e4\uc5b4\uc788\ub2e4.<\/p>\r\n\r\n<p>\uadf8\ub9ac\uace0 \ub2e4\uc74c\uc5d0\ub294 2M\uac1c\uc758 \uc904\uc774 \uc788\uc73c\uba70, \ud55c \uad6c\uc5ed\uc5d0 \ub300\ud55c \uc815\ubcf4\uac00 \ub450 \uc904\uc5d0 \uac78\uccd0 \ub4e4\uc5b4\uc788\ub2e4. \uac70\uae30\uc11c \uccab\uc904\uc5d0\ub294 \uc774 \uad6c\uc5ed\uc774 \uac10\uc2f8\ub294 \ub9c8\uc744\uc758 \uac1c\uc218 I\uac00 \ub4e4\uc5b4\uc788\uc73c\uba70, \ub2e4\uc74c\uc904\uc5d0\ub294 \uc774 \uad6c\uc5ed\uc758 \uacbd\uacc4\ub97c \uc774\ub8e8\ub294 \ub9c8\uc744 I\uac1c\uc758 \ubc88\ud638\uac00 \uc2dc\uacc4 \ubc29\ud5a5 \uc21c\uc11c\ub85c \ub4e4\uc5b4\uc788\ub2e4. \ub2e4\ub9cc, \ud55c \uac00\uc9c0 \uc608\uc678\uac00 \uc788\ub294\ub370, \uac00\uc7a5 \ub9c8\uc9c0\ub9c9\uc5d0 \uc788\ub294 \uad6c\uc5ed\uc740(M\uc9f8 \uad6c\uc5ed) \ub9c8\uc744 \uc804\uccb4\uc758 \ubc14\uae65\uc744 \uc774\ub8e8\ub294 \uad6c\uc5ed\uc5d0 \ub300\ud55c \uc815\ubcf4\uc774\ub2e4. \uc774 \uad6c\uc5ed\uc744 \ub2e4\ub8f0 \ub54c\ub9cc\uc740 \uac00\uc7a5 \ubc14\uae65\uc744 \uac10\uc2f8\uace0 \uc788\ub294 \ub9c8\uc744\ub4e4\uc758 \ubc88\ud638\uac00 \ubc18\uc2dc\uacc4 \ubc29\ud5a5 \uc21c\uc11c\ub85c \uc81c\uc2dc\ub41c\ub2e4. \uc774\ub807\ub4ef \uc785\ub825 \ud30c\uc77c\uc5d0\ub294 \ub2f4\uacfc \ub9c8\uc744\ub85c \uc778\ud574 \uc0dd\uaca8\ub09c \ubaa8\ub4e0 \uad6c\uc5ed\uc5d0 \ub300\ud55c \uc815\ubcf4\uac00 \ubc14\uae65\ucabd \uad6c\uc5ed\uae4c\uc9c0 \ud3ec\ud568\ud574\uc11c \ubaa8\ub450 \ub4e4\uc5b4\uc788\ub2e4.<\/p>\r\n\r\n<p>\uad6c\uc5ed\uc740 \uc785\ub825 \ud30c\uc77c\uc5d0 \uc218\ub85d\ub3fc \uc788\ub294 \uc21c\uc11c\uac00 \uace7 \uadf8 \uad6c\uc5ed\uc744 \uc9c0\uc815\ud558\ub294 \ubc88\ud638\uac00 \ub41c\ub2e4. \uac00\uc7a5 \uba3c\uc800 \ub098\uc624\ub294 \uad6c\uc5ed\uc774 1\ubc88 \uad6c\uc5ed, \uadf8 \ub2e4\uc74c\uc5d0 \uc788\ub294 \uad6c\uc5ed\uc774 2\ubc88\uc774\ub2e4. \uc989, \ubaa8\uc774\uae30\uc5d0 \uac00\uc7a5 \uc801\ud569\ud55c \uad6c\uc5ed\uc744 \uac00\ub9ac\ud0ac \ub54c\ub294 \uc785\ub825 \ud30c\uc77c\uc5d0\uc11c \uba87\uc9f8\ub85c \ub098\uc628 \uad6c\uc5ed\uc778\uc9c0\ub97c \ucd9c\ub825\ud558\uba74 \ub41c\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0\ub294 \ub2f5\uc548 \ud504\ub85c\uadf8\ub7a8\uc774 \uad6c\ud55c \ucd1d\ud69f\uc218\uc758 \ucd5c\uc19f\uac12\uc744 \ucd9c\ub825\ud55c\ub2e4. \ub458\uc9f8 \uc904\uc5d0\ub294 \ub2f4\uc7a5\uc744 \uac00\uc7a5 \uc801\uac8c \ub118\uace0 \ub9cc\ub0a0 \uc218 \uc788\ub294 \uad6c\uc5ed\uc758 \ubc88\ud638\ub97c \ucd9c\ub825\ud55c\ub2e4. \uadf8\ub7f0 \uad6c\uc5ed\uc774 \uc5ec\ub7ec \uac1c \uc788\uc744 \uc218 \uc788\ub354\ub77c\ub3c4 \ud55c \uacf3\ub9cc \ucd9c\ub825\ud558\uba74 \ub41c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"2364","problem_lang":"1","title":"Walls","description":"<p>In a country, great walls have been built in such a way that every great wall connects exactly two towns. The great walls do not cross each other. Thus, the country is divided into such regions that to move from one region to another, it is necessary to go through a town or cross a great wall. For any two towns A and B, there is at most one great wall with one end in A and the other in B, and further, it is possible to go from A to B by always walking in a town or along a great wall. The input format implies additional restrictions.&nbsp;<\/p>\r\n\r\n<p>There is a club whose members live in the towns. In each town, there is only one member or there are no members at all. The members want to meet in one of the regions (outside of any town). The members travel riding their bicycles. They do not want to enter any towns, because of the traffic, and they want to cross as few great walls as possible, as it is a lot of trouble. To go to the meeting region, each member needs to cross a number (possibly 0) of great walls. They want to find such an optimal region that the sum of these numbers (crossing-sum, for short) is minimized.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/wall.png\" style=\"height:300px; width:761px\" \/><\/p>\r\n\r\n<p>The towns are labeled with integers from 1 to N, where N is the number of towns. In Figure 1, the labeled nodes represent the towns and the lines connecting the nodes represent the great walls. Suppose that there are three members, who live in towns 3, 6, and 9. Then, an optimal meeting region and respective routes for members are shown in Figure 2. The crossing-sum is 2: the member from town 9 has to cross the great wall between towns 2 and 4, and the member from town 6 has to cross the great wall between towns 4 and 7.<\/p>\r\n\r\n<p>You are to write a program which, given the towns, the regions, and the club member home towns, computes an optimal region and the minimal crossing-sum.<\/p>\r\n","input":"<p>The first line contains one integer: the number of regions M, 2&le;M&le;200. The second line contains one integer: the number of towns N, 3&le;N&le;250. The third line contains one integer: the number of club members L, 1&le;L&le;30, L&le;N. The fourth line contains L distinct integers in increasing order: the labels of the towns where the members live.<\/p>\r\n\r\n<p>After that the file contains 2M lines so that there is a pair of lines for each region: the first two of the 2M lines describe the first region, the following two the second and so on. Of the pair, the first line shows the number of towns I on the border of that region. The second line of the pair contains I integers: the labels of these I towns in some order in which they can be passed when making a trip clockwise along the border of the region, with the following exception. The last region is the &ldquo;outside region&rdquo; surrounding all towns and other regions, and for it the order of the labels corresponds to a trip in counterclockwise direction. The order of the regions gives an integer labeling to the regions: the first region has label 1, the second has label 2, and so on. Note that the input includes all regions formed by the towns and great walls, including the &ldquo;outside region&rdquo;.<\/p>\r\n","output":"<p>The first line contains one integer: the minimal crossing-sum. The second line contains one integer: the label of an optimal region. There may be several different solutions for the region and your program needs to output only one of them.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]

출처

Olympiad > International Olympiad in Informatics > IOI 2000 4번

  • 문제의 오타를 찾은 사람: august14