시간 제한메모리 제한제출정답맞힌 사람정답 비율
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문제

덕휘는 로맨틱펀치의 팬이다. 어느 날 그가 사는 마을에 로맨틱펀치가 락페스티벌 행사에 초청받아 공연을 왔다! 덕휘는 기뻐 날뛰기 시작했다. 그러나 마을 사람들은 조용한 것을 좋아해서 로맨틱펀치를 내쫓았다. 덕휘는 화가 나서 이렇게 된 이상 자신의 저택 뒤뜰에 로맨틱펀치를 초청하여 공연을 부탁하려고 한다.

그러나 뒤뜰을 쓴 지 오래돼서 이곳저곳에 잡초가 자라 있다. 잡초를 깎기는 귀찮은 덕휘는 남아있는 맨땅 중 그 면적이 가장 넓은 곳을 무대로 쓰려고 한다. 맨땅은 여러 개의 직사각형들로 이루어져 있고, 인접해 있는 직사각형들은 하나의 맨땅으로 친다. 이때, 모서리에서만 만나는 두 땅도 인접한 것으로 친다.

덕휘의 저택 뒤뜰에 있는 맨땅들 중 가장 넓은 면적은 얼마인지 알아내시오.

입력

첫 번째 줄에는 잡초가 없는 땅 정보의 개수 N이 주어진다. (0 < N ≤ 50,000)

이어서 각 줄에 땅의 위치와 넓이 정보가 직사각형 형태로 주어진다. 차례대로 X, Y, W, H이며, 이는 땅의 제일 왼쪽 아래 지점이 (X, Y)이고 너비가 W, 높이가 H라는 뜻이다. 모든 땅의 변은 x축, y축에 평행하다. (0 < W, H ≤ 500)

입력으로 주어지는 땅의 모서리 좌표와 면적 값은 모두 32bit 정수 자료형으로 처리 가능하다. 또한, 입력의 모든 직사각형은 서로 겹치지 않는다.

출력

첫째 줄에 가장 넓은 땅 묶음의 면적을 출력한다.

예제 입력 1

8
14 1 2 2
16 9 1 5
11 3 5 2
3 4 2 5
5 9 3 2
21 3 2 8
13 2 1 1
13 8 3 5

예제 출력 1

20

힌트

예제를 그림으로 나타내면 다음과 같다.

그림에는 총 4개의 땅 묶음이 존재한다.

  • 3, 4번: 넓이 16
  • 7, 1번: 넓이 20
  • 0, 2, 6번: 넓이 15
  • 5번: 넓이 16

따라서 가장 큰 면적은 20이다.

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(0 &lt; N &le; 50,000)<\/p>\r\n\r\n<p>\uc774\uc5b4\uc11c \uac01 \uc904\uc5d0 \ub545\uc758 \uc704\uce58\uc640 \ub113\uc774 \uc815\ubcf4\uac00 \uc9c1\uc0ac\uac01\ud615 \ud615\ud0dc\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \ucc28\ub840\ub300\ub85c X, Y, W, H\uc774\uba70, \uc774\ub294 \ub545\uc758 \uc81c\uc77c \uc67c\ucabd \uc544\ub798 \uc9c0\uc810\uc774 (X, Y)\uc774\uace0 \ub108\ube44\uac00 W, \ub192\uc774\uac00 H\ub77c\ub294 \ub73b\uc774\ub2e4. \ubaa8\ub4e0 \ub545\uc758 \ubcc0\uc740 x\ucd95, y\ucd95\uc5d0 \ud3c9\ud589\ud558\ub2e4. (0 &lt; W, H &le; 500)<\/p>\r\n\r\n<p>\uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c0\ub294 \ub545\uc758 \ubaa8\uc11c\ub9ac \uc88c\ud45c\uc640 \uba74\uc801 \uac12\uc740 \ubaa8\ub450 32bit \uc815\uc218 \uc790\ub8cc\ud615\uc73c\ub85c \ucc98\ub9ac \uac00\ub2a5\ud558\ub2e4. \ub610\ud55c, \uc785\ub825\uc758 \ubaa8\ub4e0 \uc9c1\uc0ac\uac01\ud615\uc740 \uc11c\ub85c \uacb9\uce58\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n","output":"<p>\uccab\uc9f8 \uc904\uc5d0 \uac00\uc7a5 \ub113\uc740 \ub545 \ubb36\uc74c\uc758 \uba74\uc801\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"<p>\uc608\uc81c\ub97c \uadf8\ub9bc\uc73c\ub85c \ub098\ud0c0\ub0b4\uba74 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images2\/park.png\" style=\"height:159px; width:290px\" \/><\/p>\r\n\r\n<p>\uadf8\ub9bc\uc5d0\ub294 \ucd1d 4\uac1c\uc758 \ub545 \ubb36\uc74c\uc774 \uc874\uc7ac\ud55c\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>3, 4\ubc88: \ub113\uc774 16<\/li>\r\n\t<li>7, 1\ubc88: \ub113\uc774 20<\/li>\r\n\t<li>0, 2, 6\ubc88: \ub113\uc774 15<\/li>\r\n\t<li>5\ubc88: \ub113\uc774 16<\/li>\r\n<\/ul>\r\n\r\n<p>\ub530\ub77c\uc11c \uac00\uc7a5 \ud070 \uba74\uc801\uc740 20\uc774\ub2e4.<\/p>\r\n","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"10534","problem_lang":"1","title":"City Park","description":"<p>Porto is blessed with a beautiful city park. The park, in the western section of the city, borders the Atlantic Ocean. It has great lawns, small forests, plenty of flowerbeds, a variety of ponds, and, in all, lots of points of interest. Porto families love the park and flock to in on weekends and holidays.<\/p>\r\n\r\n<p>With such multitudes, it is hard work to keep the lawns in good shape. In order to control the movements of the crowd, the engineers of the municipality designed a system of paths connecting points of interest. These paths are built with large rectangular shale stones from the nearby Milh&aacute;ria quarry. Using sophisticated location systems, the engineers were able to lay the stones perfectly aligned with the north-south direction (and hence also with the east-west direction). Stones linking one from one point of interest to another touch each other, forming a contiguous stoned surface, and do not touch any stones belonging to any other stoned surface.<\/p>\r\n\r\n<p>The &ldquo;defend our park&rdquo; movement wants to stage a demonstration in the park to publicise their cause. Since they do not want to harm the lawns, they must stage the demonstration in one of those stoned surfaces. In order to summon as many supporters as possible, but not too many, they need to find out the area of the stoned surface with largest area.<\/p>\r\n\r\n<p>Given the locations and dimensions of stones in the park, compute the area of the stoned surface with the largest area.<\/p>\r\n","input":"<p>The first line contains one positive integer, N, representing the number of rectangular stones. N lines follow, each one describing the location and dimensions of a stone, by four integers, X, Y , W, H, where (X, Y ) are the coordinates of the location of the lower left corner the stone, W is its length along the x-axis, and H is its length along the y-axis.<\/p>\r\n","output":"<p>A single line with an integer: the area of the stoned surface with largest area.<\/p>\r\n","hint":"<p>The following figure represents the configuration of stones described in the sample input.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images2\/park.png\" style=\"height:159px; width:290px\" \/><\/p>\r\n\r\n<p>There are 4 stoned surfaces: one made up by stones 3 and 4, on the left, with area 16; another, made up by stones 7 and 1, with area 20; a third one, below the previous, made up by stones 0, 2 and 6, with area 15; and the one on the right, made up by stone 5 only, with area 16. The largest area is 20.<\/p>\r\n","original":"1","html_title":"0","problem_lang_tcode":"English","limit":"<ul>\n\t<li>0 &lt; N &le; 50 000 Number of stones.<\/li>\n\t<li>0 &lt; W &le; 500, 0 &lt; H &le; 500 Dimensions of stones.<\/li>\n<\/ul>\n\n<p>It is guaranteed that, for the given inputs, the coordinates of the stone corners can be handled using normal 32-bit signed integers, as well as the total area of any stoned surface. For every pair of distinct stones, the area of the intersection of the two rectangles that represent them in the park is zero (i.e., there are no overlaps).<\/p>\n"}]

출처

ICPC > Regionals > Europe > Southwestern European Regional Contest > SWERC 2014 F번

  • 문제의 오타를 찾은 사람: dofwk1526
  • 문제를 번역한 사람: kks227