시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 256 MB7414926.471%

문제

오랜 시간동안 바이토피아 섬은 바이짜르 왕이 다스리고 있었다. 하지만, 바이짜르 왕의 갑작스럽게 운명을 달리하자, 두 왕자 비테온과 바이테온은 어떻게 섬의 땅을 나누어 가져야 하는지로 싸우게 되었다. 결국 그들은 땅을 두 개로 나누어 점령하기로 하였다.

바이토피아 왕국은 N개의 꼭짓점이 있는 다각형의 모양이다. 다각형의 모든 변은 지도의 한 변에 평행하며, 모든 붙어있는 두 변은 서로 수직하다. 다각형의 붙어있지 않은 두 변은 내부에서 절대 만나거나 다른 변을 건드리지 않는다.

비테온과 바이테온 왕자는 이 다각형 모양의 땅을 지도의 한 변에 평행한 하나의 경계선을 이용하여 두 개의 합동인 다각형으로 나누려 한다. (두 다각형이 돌리거나 뒤집어서 같은 모양이 되면 합동이라 한다) 경계선의 양끝의 좌표는 정수여야 한다.

이런 경계선이 존재하는지를 확인하고, 존재한다면 경계선을 하나 찾아내시오.

입력

입력의 첫 줄에는 다각형 모양의 섬을 이루는 꼭짓점의 개수 N이 주어진다. 그 뒤의 N개의 줄에는 정점의 좌표 Xi, Yi (0 ≤ Xi, Yi ≤ 109) 가 순서대로 주어진다.

즉, 섬은 (X1, Y1) − (X2, Y2), (X2, Y2) − (X3, Y3), ... , (XN−1, YN−1) − (XN, YN), (XN, YN) − (X1, Y1)의 선분들로 이루어져 있는 것이다. 위에도 언급되어 있지만 붙어있는 두 선분은 언제나 서로 수직하다.

출력

섬을 합동인 두 다각형으로 나누는 선분이 존재하면, 선분의 두 끝점이 (x1, y1), (x2, y2)일 때 x1, y1, x2, y2를 나타내는 4개의 정수를 한 줄에 출력하면 된다. x1 = x2이거나 y1 = y2여야 한다. 선분은 다각형의 안쪽에 있어야 하며, 선분의 양 끝점은 다각형의 경계선에 있어야 한다. 그런 선분이 여러개이면 그 중에 하나를 출력한다.

그런 선분이 존재하지 않으면, "NO"를 출력한다. 따옴표는 출력하지 않는다.

서브태스크

번호배점제한
112

4 ≤ N ≤ 100 000. 어떠한 수직선 혹은 수평선으로 다각형을 잘랐을 때, 다각형은 정확히 두 조각으로 분할된다.

215

4 ≤ N ≤ 200.

323

4 ≤ N ≤ 2 000.

450

4 ≤ N ≤ 100 000.

예제 입력 1

10
0 0
1 0
1 1
3 1
3 5
2 5
2 3
1 3
1 2
0 2

예제 출력 1

1 2 3 2

예제 입력 2

6
0 0
1 0
1 1
2 1
2 2
0 2

예제 출력 2

NO

[{"problem_id":"10098","problem_lang":"0","title":"\uc591\ubd84","description":"<p><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/dd183f83-6f2a-4a2a-829c-dd85e8a5555e\/-\/preview\/\" style=\"width: 118px; height: 184px; float: right;\" \/>\uc624\ub79c \uc2dc\uac04\ub3d9\uc548 \ubc14\uc774\ud1a0\ud53c\uc544 \uc12c\uc740 \ubc14\uc774\uc9dc\ub974 \uc655\uc774 \ub2e4\uc2a4\ub9ac\uace0 \uc788\uc5c8\ub2e4. \ud558\uc9c0\ub9cc, \ubc14\uc774\uc9dc\ub974 \uc655\uc758 \uac11\uc791\uc2a4\ub7fd\uac8c \uc6b4\uba85\uc744 \ub2ec\ub9ac\ud558\uc790, \ub450 \uc655\uc790 \ube44\ud14c\uc628\uacfc \ubc14\uc774\ud14c\uc628\uc740 \uc5b4\ub5bb\uac8c \uc12c\uc758 \ub545\uc744 \ub098\ub204\uc5b4 \uac00\uc838\uc57c \ud558\ub294\uc9c0\ub85c \uc2f8\uc6b0\uac8c \ub418\uc5c8\ub2e4. \uacb0\uad6d \uadf8\ub4e4\uc740 \ub545\uc744 \ub450 \uac1c\ub85c \ub098\ub204\uc5b4 \uc810\ub839\ud558\uae30\ub85c \ud558\uc600\ub2e4.<\/p>\r\n\r\n<p>\ubc14\uc774\ud1a0\ud53c\uc544 \uc655\uad6d\uc740 N\uac1c\uc758 \uaf2d\uc9d3\uc810\uc774 \uc788\ub294 \ub2e4\uac01\ud615\uc758 \ubaa8\uc591\uc774\ub2e4. \ub2e4\uac01\ud615\uc758 \ubaa8\ub4e0 \ubcc0\uc740 \uc9c0\ub3c4\uc758 \ud55c \ubcc0\uc5d0 \ud3c9\ud589\ud558\uba70,  \ubaa8\ub4e0 \ubd99\uc5b4\uc788\ub294 \ub450 \ubcc0\uc740 \uc11c\ub85c \uc218\uc9c1\ud558\ub2e4. \ub2e4\uac01\ud615\uc758 \ubd99\uc5b4\uc788\uc9c0 \uc54a\uc740 \ub450 \ubcc0\uc740 \ub0b4\ubd80\uc5d0\uc11c \uc808\ub300 \ub9cc\ub098\uac70\ub098 \ub2e4\ub978 \ubcc0\uc744 \uac74\ub4dc\ub9ac\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n\r\n<p>\ube44\ud14c\uc628\uacfc \ubc14\uc774\ud14c\uc628 \uc655\uc790\ub294 \uc774 \ub2e4\uac01\ud615 \ubaa8\uc591\uc758 \ub545\uc744 \uc9c0\ub3c4\uc758 \ud55c \ubcc0\uc5d0 \ud3c9\ud589\ud55c \ud558\ub098\uc758 \uacbd\uacc4\uc120\uc744 \uc774\uc6a9\ud558\uc5ec \ub450 \uac1c\uc758 \ud569\ub3d9\uc778 \ub2e4\uac01\ud615\uc73c\ub85c \ub098\ub204\ub824 \ud55c\ub2e4. (\ub450 \ub2e4\uac01\ud615\uc774 \ub3cc\ub9ac\uac70\ub098 \ub4a4\uc9d1\uc5b4\uc11c \uac19\uc740 \ubaa8\uc591\uc774 \ub418\uba74 \ud569\ub3d9\uc774\ub77c \ud55c\ub2e4) \uacbd\uacc4\uc120\uc758 \uc591\ub05d\uc758 \uc88c\ud45c\ub294 \uc815\uc218\uc5ec\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc774\ub7f0 \uacbd\uacc4\uc120\uc774 \uc874\uc7ac\ud558\ub294\uc9c0\ub97c \ud655\uc778\ud558\uace0, \uc874\uc7ac\ud55c\ub2e4\uba74 \uacbd\uacc4\uc120\uc744 \ud558\ub098 \ucc3e\uc544\ub0b4\uc2dc\uc624.<\/p>\r\n","input":"<p>\uc785\ub825\uc758 \uccab \uc904\uc5d0\ub294 \ub2e4\uac01\ud615 \ubaa8\uc591\uc758 \uc12c\uc744 \uc774\ub8e8\ub294 \uaf2d\uc9d3\uc810\uc758 \uac1c\uc218 N\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. \uadf8 \ub4a4\uc758 N\uac1c\uc758 \uc904\uc5d0\ub294 \uc815\uc810\uc758 \uc88c\ud45c X<sub>i<\/sub>, Y<sub>i<\/sub> (0 &le; X<sub>i<\/sub>, Y<sub>i<\/sub> &le; 10<sup>9<\/sup>) \uac00 \uc21c\uc11c\ub300\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uc989, \uc12c\uc740 (X<sub>1<\/sub>, Y<sub>1<\/sub>) &minus; (X<sub>2<\/sub>, Y<sub>2<\/sub>), (X<sub>2<\/sub>, Y<sub>2<\/sub>) &minus; (X<sub>3<\/sub>, Y<sub>3<\/sub>), ... , (X<sub>N&minus;1<\/sub>, Y<sub>N&minus;1<\/sub>) &minus; (X<sub>N<\/sub>, Y<sub>N<\/sub>), (X<sub>N<\/sub>, Y<sub>N<\/sub>) &minus; (X<sub>1<\/sub>, Y<sub>1<\/sub>)\uc758 \uc120\ubd84\ub4e4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub294 \uac83\uc774\ub2e4. \uc704\uc5d0\ub3c4 \uc5b8\uae09\ub418\uc5b4 \uc788\uc9c0\ub9cc \ubd99\uc5b4\uc788\ub294 \ub450 \uc120\ubd84\uc740 \uc5b8\uc81c\ub098 \uc11c\ub85c \uc218\uc9c1\ud558\ub2e4.<\/p>\r\n","output":"<p>\uc12c\uc744 \ud569\ub3d9\uc778 \ub450 \ub2e4\uac01\ud615\uc73c\ub85c \ub098\ub204\ub294 \uc120\ubd84\uc774 \uc874\uc7ac\ud558\uba74, \uc120\ubd84\uc758 \ub450 \ub05d\uc810\uc774 (x<sub>1<\/sub>, y<sub>1<\/sub>), (x<sub>2<\/sub>, y<sub>2<\/sub>)\uc77c \ub54c x<sub>1<\/sub>, y<sub>1<\/sub>, x<sub>2<\/sub>, y<sub>2<\/sub>\ub97c \ub098\ud0c0\ub0b4\ub294 4\uac1c\uc758 \uc815\uc218\ub97c \ud55c \uc904\uc5d0 \ucd9c\ub825\ud558\uba74 \ub41c\ub2e4. x<sub>1<\/sub> = x<sub>2<\/sub>\uc774\uac70\ub098 y<sub>1<\/sub> = y<sub>2<\/sub>\uc5ec\uc57c \ud55c\ub2e4. \uc120\ubd84\uc740 \ub2e4\uac01\ud615\uc758 \uc548\ucabd\uc5d0 \uc788\uc5b4\uc57c \ud558\uba70, \uc120\ubd84\uc758 \uc591 \ub05d\uc810\uc740 \ub2e4\uac01\ud615\uc758 \uacbd\uacc4\uc120\uc5d0 \uc788\uc5b4\uc57c \ud55c\ub2e4. \uadf8\ub7f0 \uc120\ubd84\uc774 \uc5ec\ub7ec\uac1c\uc774\uba74 \uadf8 \uc911\uc5d0 \ud558\ub098\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uadf8\ub7f0 \uc120\ubd84\uc774 \uc874\uc7ac\ud558\uc9c0 \uc54a\uc73c\uba74, &quot;NO&quot;\ub97c \ucd9c\ub825\ud55c\ub2e4. \ub530\uc634\ud45c\ub294 \ucd9c\ub825\ud558\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean","subtask1":"<p>4 &le; N &le; 100 000. \uc5b4\ub5a0\ud55c \uc218\uc9c1\uc120 \ud639\uc740 \uc218\ud3c9\uc120\uc73c\ub85c \ub2e4\uac01\ud615\uc744 \uc798\ub790\uc744 \ub54c, \ub2e4\uac01\ud615\uc740 \uc815\ud655\ud788 \ub450 \uc870\uac01\uc73c\ub85c \ubd84\ud560\ub41c\ub2e4.<\/p>\r\n","subtask2":"<p>4 &le; N &le; 200.<\/p>\r\n","subtask3":"<p>4 &le; N &le; 2 000.<\/p>\r\n","subtask4":"<p>4 &le; N &le; 100 000.<\/p>\r\n","sample_explain_1":"<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/c54dd138-e564-406c-a674-3d47e2d3b0c9\/-\/preview\/\" style=\"width: 122px; height: 198px;\" \/><\/p>\r\n","sample_explain_2":"<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/a78d487b-b0bc-4da0-9375-774c553664b8\/-\/preview\/\" style=\"width: 83px; height: 85px;\" \/><\/p>\r\n"},{"problem_id":"10098","problem_lang":"1","title":"Demarcation","description":"<p><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/dd183f83-6f2a-4a2a-829c-dd85e8a5555e\/-\/preview\/\" style=\"width: 118px; height: 184px; float: right;\" \/>For a long time the island of Bytopia was ruled by the fair king Byteasar. But after the sudden death of the king, his two sons&mdash;twins Biteon and Byteon&mdash;could not come to an agreement which one of them should ascend the throne. Therefore they decided to divide the island into two provinces to rule them independently.<\/p>\r\n\r\n<p>On a rectangular map Byteotia is shaped as a polygon of N vertices. Every side of the polygon is parallel to a side of the map, and every two consecutive sides are perpendicular to each other. No side of the polygon crosses or touches any other side, except for the common endpoints of consecutive sides.<\/p>\r\n\r\n<p>Biteon and Byteon want to divide the polygon into two congruent polygons, using one line segment contained in the polygon and parallel to a side of the map. (Two polygons are congruent if one can be transformed into the other using a combination of reflections, rotations and translations.) Coordinates of the polygon vertices and the endpoints of the dividing segment are integers.<\/p>\r\n\r\n<p>The king&rsquo;s sons asked you to verify whether such a division is possible.<\/p>\r\n\r\n<p>Given the shape of the island, determine if it can be partitioned by a horizontal or vertical segment into two congruent pieces. If it can, find one such segment.<\/p>\r\n","input":"<p>The first line of the input contains a single integer N, the number of vertices. The ith of the next N lines contains a pair of integers X<sub>i<\/sub> and Y<sub>i<\/sub> (0 &le; X<sub>i<\/sub>, Y<sub>i<\/sub> &le; 10<sup>9<\/sup>) which are the coordinates of the ith vertex.<\/p>\r\n\r\n<p>The vertices are given in order, i.e. the line segments (X<sub>1<\/sub>, Y<sub>1<\/sub>) &minus; (X<sub>2<\/sub>, Y<sub>2<\/sub>), (X<sub>2<\/sub>, Y<sub>2<\/sub>) &minus; (X<sub>3<\/sub>, Y<sub>3<\/sub>), . . . , (X<sub>N&minus;1<\/sub>, Y<sub>N&minus;1<\/sub>) &minus; (X<sub>N<\/sub>, Y<sub>N<\/sub>) and (X<sub>N<\/sub>, Y<sub>N<\/sub>) &minus; (X<sub>1<\/sub>, Y<sub>1<\/sub>) are all sides of the polygon. Furthermore, any two consecutive line segments are perpendicular to each other.<\/p>\r\n","output":"<p>Your program should output a single line. If it is possible to divide the island into congruent parts with a horizontal or vertical segment with endpoints (x<sub>1<\/sub>, y<sub>1<\/sub>) and (x<sub>2<\/sub>, y<sub>2<\/sub>), print 4 integers x<sub>1<\/sub>, y<sub>1<\/sub>, x<sub>2<\/sub> and y<sub>2<\/sub>, separated by spaces. Either x<sub>1<\/sub> = x<sub>2<\/sub> or y<sub>1<\/sub> = y<sub>2<\/sub> must hold. The segment should be contained within the polygon and only its endpoints should touch the boundary.<\/p>\r\n\r\n<p>If a suitable division cannot be found, output a single word <code>NO<\/code>.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English","subtask1":"<p>4 &le; N &le; 100 000. Any horizontal or vertical line that divides the polygon divides it into exactly two parts.<\/p>\r\n","subtask2":"<p>4 &le; N &le; 200.<\/p>\r\n","subtask3":"<p>4 &le; N &le; 2 000.<\/p>\r\n","subtask4":"<p>4 &le; N &le; 100 000.<\/p>\r\n","sample_explain_1":"<p>Note that <code>3 2 1 2<\/code> is also a valid solution.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/c54dd138-e564-406c-a674-3d47e2d3b0c9\/-\/preview\/\" style=\"width: 122px; height: 198px;\" \/><\/p>\r\n","sample_explain_2":"<p>In this case there is no way to divide the island into two congruent parts.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/upload.acmicpc.net\/a78d487b-b0bc-4da0-9375-774c553664b8\/-\/preview\/\" style=\"width: 83px; height: 85px;\" \/><\/p>\r\n"}]

출처

Olympiad > Baltic Olympiad in Informatics > BOI 2014 4번

  • 문제를 번역한 사람: junie

채점 및 기타 정보

  • 예제는 채점하지 않는다.