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문제

홍준이는 대한민국의 자랑스러운 해군이다. 오늘은 전함을 타고 적과 싸우는 상황을 가정한 실전 연습을 하려고 한다. 

전장은 n × n 크기의 그리드로 나타낼 수 있다. 가장 왼쪽 아래 점의 좌표는 (1,1)이고, 가장 오른쪽 위 점의 좌표는 (n,n)이다. 적의 함대는 전함 k개로 이루어져 있다. 각 전함 i는 길이가 0보다 크고 양 끝점이 (xi,yi), (x'i,y'i)인 선분으로 나타낼 수 있다. 또, 전함의 무게는 wi이다. 홍준이는 전함을 부수기 위해 레이저 대포를 총 l번 발사한다. 대포는 수직이나 수평 방향으로 발사할 수 있다.

대포를 수직으로 발사한다면, 레이저는 (a,1)과 (a,n)을 연결하는 선분으로 나타낼 수 있고, 이 선분과 만나는 전함을 모두 파괴한다. (끝점도 포함) 대포를 수평으로 발사하면, 레이저는 (1,a)와 (n,a)를 연결하는 선분으로 나타낼 수 있고, 이 선분과 만나는 전함도 모두 파괴한다.

홍준이는 매번 레이저 캐논을 발사할 때마다, 파괴한 전함중 가장 무거운 전함을 대통령에게 보고해야 한다.

아래 그림에는 5 × 5 크기의 그리드에 전함이 다섯 개 있다. 각 전함의 무게는 선분 옆에 쓰여 있다. 첫 번째 레이저를 (4,1)과 (4,5)를 연결하는 선분으로 수직 발사하면, 전함 두 개를 파괴할 수 있다. 파괴한 전함의 무게는 4와 5인데, 가장 무거운 전함은 5이므로 5를 보고한다. 그 다음, 레이저를 (1,4)와 (5,4)를 연결하는 선분으로 수평 발사하면, 두 전함을 파괴할 수 있다. 파괴한 전함의 무게는 1과 2이고, 무거운 전함은 2이므로 2를 보고한다. 두 번째 레이저를 발사했을 때, 무게가 4인 전함은 첫 번째 레이저에 의해서 파괴되었기 때문에 파괴되지 않는다.

모든 전함의 위치와 홍준이가 발사한 레이저의 정보가 주어진다. 레이저를 발사할 때마다, 파괴한 전함중 가장 무거운 전함의 무게를 구하는 프로그램을 작성하시오.

입력

첫째 줄에 테스트 케이스의 개수 T가 주어진다. 각 테스트 케이스의 첫째 줄에는 그리드의 크기 n, 전함의 수 k, 대포를 발사한 횟수 l이 주어진다. 1 ≤ n ≤ 1,000,000,000, 1 ≤ k,l ≤ 100,000. 다음 k개 줄에는 다섯 정수 x, y, x', y', w가 주어진다. 이 숫자는 전함의 양 끝점 (x,y), (x',y') (1 ≤ x,y,x',y' ≤ n)와 무게 w를 나타낸다. (1 ≤ w ≤ 1,000,000) 다음 l개 줄에는 두 정수 a와 b가 주어진다. (1 ≤ a ≤ n, b = 0 또는 1) b가 0인 경우에는 대포를 (1,a)와 (n,a)를 연결하는 선분으로 수평 발사한 것이고, 1인 경우에는 (a,1)와 (a,n)을 연결하는 선분으로 수직 발사한 것이다.

출력

각 테스트 케이스마다 l줄을 출력한다. 매번 레이저를 발사할 때마다, 파괴한 전함 중 가장 무거운 전함의 무게를 출력한다. 만약, 파괴된 전함이 없는 경우에는 0을 출력한다.

예제 입력 1

2
5 5 2
1 2 2 5 1
1 4 2 1 2
3 5 5 4 4
3 1 3 2 3
3 3 5 3 5
4 1
4 0
5 2 2
3 1 1 3 2
4 5 1 1 3
4 1
4 0

예제 출력 1

5
2
3
0
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(\ub05d\uc810\ub3c4 \ud3ec\ud568) \ub300\ud3ec\ub97c \uc218\ud3c9\uc73c\ub85c \ubc1c\uc0ac\ud558\uba74, \ub808\uc774\uc800\ub294 (1,a)\uc640 (n,a)\ub97c \uc5f0\uacb0\ud558\ub294 \uc120\ubd84\uc73c\ub85c \ub098\ud0c0\ub0bc \uc218 \uc788\uace0, \uc774 \uc120\ubd84\uacfc \ub9cc\ub098\ub294 \uc804\ud568\ub3c4 \ubaa8\ub450 \ud30c\uad34\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ud64d\uc900\uc774\ub294 \ub9e4\ubc88 \ub808\uc774\uc800 \uce90\ub17c\uc744 \ubc1c\uc0ac\ud560 \ub54c\ub9c8\ub2e4, \ud30c\uad34\ud55c&nbsp;\uc804\ud568\uc911 \uac00\uc7a5 \ubb34\uac70\uc6b4 \uc804\ud568\uc744 \ub300\ud1b5\ub839\uc5d0\uac8c \ubcf4\uace0\ud574\uc57c \ud55c\ub2e4.<\/p>\r\n\r\n<p>\uc544\ub798 \uadf8\ub9bc\uc5d0\ub294 5 &times; 5 \ud06c\uae30\uc758 \uadf8\ub9ac\ub4dc\uc5d0 \uc804\ud568\uc774 \ub2e4\uc12f \uac1c \uc788\ub2e4. \uac01 \uc804\ud568\uc758 \ubb34\uac8c\ub294 \uc120\ubd84 \uc606\uc5d0 \uc4f0\uc5ec \uc788\ub2e4. \uccab \ubc88\uc9f8 \ub808\uc774\uc800\ub97c (4,1)\uacfc (4,5)\ub97c \uc5f0\uacb0\ud558\ub294 \uc120\ubd84\uc73c\ub85c \uc218\uc9c1&nbsp;\ubc1c\uc0ac\ud558\uba74, \uc804\ud568 \ub450 \uac1c\ub97c \ud30c\uad34\ud560 \uc218 \uc788\ub2e4. \ud30c\uad34\ud55c&nbsp;\uc804\ud568\uc758 \ubb34\uac8c\ub294 4\uc640 5\uc778\ub370, \uac00\uc7a5 \ubb34\uac70\uc6b4 \uc804\ud568\uc740 5\uc774\ubbc0\ub85c 5\ub97c \ubcf4\uace0\ud55c\ub2e4. \uadf8 \ub2e4\uc74c, \ub808\uc774\uc800\ub97c (1,4)\uc640 (5,4)\ub97c \uc5f0\uacb0\ud558\ub294 \uc120\ubd84\uc73c\ub85c \uc218\ud3c9&nbsp;\ubc1c\uc0ac\ud558\uba74, \ub450 \uc804\ud568\uc744 \ud30c\uad34\ud560 \uc218 \uc788\ub2e4. \ud30c\uad34\ud55c&nbsp;\uc804\ud568\uc758 \ubb34\uac8c\ub294 1\uacfc 2\uc774\uace0, \ubb34\uac70\uc6b4 \uc804\ud568\uc740 2\uc774\ubbc0\ub85c 2\ub97c \ubcf4\uace0\ud55c\ub2e4. \ub450 \ubc88\uc9f8 \ub808\uc774\uc800\ub97c \ubc1c\uc0ac\ud588\uc744 \ub54c, \ubb34\uac8c\uac00 4\uc778 \uc804\ud568\uc740 \uccab \ubc88\uc9f8 \ub808\uc774\uc800\uc5d0 \uc758\ud574\uc11c \ud30c\uad34\ub418\uc5c8\uae30 \ub54c\ubb38\uc5d0 \ud30c\uad34\ub418\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/battlefield.png\" style=\"height:199px; width:234px\" \/><\/p>\r\n\r\n<p>\ubaa8\ub4e0 \uc804\ud568\uc758 \uc704\uce58\uc640 \ud64d\uc900\uc774\uac00 \ubc1c\uc0ac\ud55c \ub808\uc774\uc800\uc758 \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \ub808\uc774\uc800\ub97c \ubc1c\uc0ac\ud560 \ub54c\ub9c8\ub2e4, \ud30c\uad34\ud55c&nbsp;\uc804\ud568\uc911 \uac00\uc7a5 \ubb34\uac70\uc6b4 \uc804\ud568\uc758 \ubb34\uac8c\ub97c \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab\uc9f8 \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uac1c\uc218 T\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab\uc9f8 \uc904\uc5d0\ub294 \uadf8\ub9ac\ub4dc\uc758 \ud06c\uae30 n, \uc804\ud568\uc758 \uc218 k, \ub300\ud3ec\ub97c \ubc1c\uc0ac\ud55c \ud69f\uc218 l\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. 1 &le; n &le; 1,000,000,000, 1 &le; k,l &le; 100,000. \ub2e4\uc74c k\uac1c \uc904\uc5d0\ub294 \ub2e4\uc12f \uc815\uc218 x, y, x&#39;, y&#39;, w\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774 \uc22b\uc790\ub294 \uc804\ud568\uc758 \uc591 \ub05d\uc810 (x,y), (x&#39;,y&#39;) (1 &le; x,y,x&#39;,y&#39; &le; n)\uc640 \ubb34\uac8c w\ub97c \ub098\ud0c0\ub0b8\ub2e4. (1 &le; w &le; 1,000,000) \ub2e4\uc74c l\uac1c \uc904\uc5d0\ub294 \ub450 \uc815\uc218 a\uc640 b\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. (1 &le; a &le; n, b = 0 \ub610\ub294 1) b\uac00 0\uc778 \uacbd\uc6b0\uc5d0\ub294 \ub300\ud3ec\ub97c (1,a)\uc640 (n,a)\ub97c \uc5f0\uacb0\ud558\ub294 \uc120\ubd84\uc73c\ub85c \uc218\ud3c9 \ubc1c\uc0ac\ud55c \uac83\uc774\uace0, 1\uc778 \uacbd\uc6b0\uc5d0\ub294 (a,1)\uc640 (a,n)\uc744 \uc5f0\uacb0\ud558\ub294 \uc120\ubd84\uc73c\ub85c \uc218\uc9c1 \ubc1c\uc0ac\ud55c \uac83\uc774\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4 l\uc904\uc744 \ucd9c\ub825\ud55c\ub2e4. \ub9e4\ubc88 \ub808\uc774\uc800\ub97c \ubc1c\uc0ac\ud560 \ub54c\ub9c8\ub2e4, \ud30c\uad34\ud55c \uc804\ud568 \uc911 \uac00\uc7a5 \ubb34\uac70\uc6b4 \uc804\ud568\uc758 \ubb34\uac8c\ub97c \ucd9c\ub825\ud55c\ub2e4. \ub9cc\uc57d, \ud30c\uad34\ub41c \uc804\ud568\uc774 \uc5c6\ub294 \uacbd\uc6b0\uc5d0\ub294 0\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"5480","problem_lang":"1","title":"Battleship","description":"<p>You are a member of the prestigious ICPC (Inter-Continental Protecting Corps) and fighting against the evil enemy. The battlefield is represented by an n &times; n grid. The coordinate of the leftmost and lowest point is (1,1) and that of the rightmost and highest point is (n,n). The enemy has a fleet of k battleships. Each battleship i is represented by a line segment whose length is greater than 0 and its endpoints are (x<sub>i<\/sub>,y<sub>i<\/sub>) and (x&#39;<sub>i<\/sub>,y&#39;<sub>i<\/sub>). Also, its weight is w<sub>i<\/sub>. You can fire a laser cannon l times to destroy battleships. Each time you can fire it either horizontally or vertically. If you shoot it vertically, the laser is represented by a line linking (a,1) and (a,n) and all the battleships which meet the line (including the endpoints) are destroyed. If you shoot it horizontally, the laser is represented by a line linking (1,a) and (n,a) and those which meet the line (including the endpoints) are destroyed. While you are a brave soldier, due to the inefficiency of bureaucracy, you are asked to report the heaviest battleship you just destroyed each time you shoot the laser cannon.&nbsp;<\/p>\r\n\r\n<p>Consider the example in Figure 1. There are five battleships on a 5&nbsp;&times; 5 grid. The weight of a battleship is written next to it. Assume that we first shoot the cannon vertically and the laser is a line linking (4,1) and (4,5). Then two battleships are destroyed: one with weight 4 and the other with weight 5, which is heavier. Therefore we report 5. Next we shoot the cannon horizontally and the laser is a line linking (1,4) and (5,4).&nbsp;Again two battleships are destroyed: one with weight 1 and the other with weight 2, which is heavier. We report 2. Note that the battleship with weight 4 is already destroyed at the first shooting.&nbsp;<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/battlefield.png\" style=\"height:199px; width:234px\" \/><\/p>\r\n\r\n<p>Figure 1. An example of battlefield with five battleships.<\/p>\r\n\r\n<p>Given the locations of battleships and your shooting information, write a program which reports the heaviest battleship you destroyed each time you shoot the cannon.&nbsp;<\/p>\r\n","input":"<p>Your program is to read from standard input. The input consists of T test cases. The number of test cases T is given in the first line of the input. Each test case starts with integers n,k, and l, the size of the grid, the number of battleships, and the number of times you can shoot the laser cannon, respectively, where 1 &le; n &le; 1,000,000,000 and 1 &le; k,l &le; 100,000. Each of the following k lines contains five integers x,y,x&#39;,y&#39; and w separated by a space which represent the endpoints of a battleship (x,y) and (x&#39;y&#39;) (1 &le; x,y,x&#39;,y&#39; &le; n) and its weight 1 &le; w &le; 1,000,000. Also each of the following l lines contains two integers a and b where 1 &le; a &nbsp;n. Either b = 0 or b = 1. If b = 0, you shoot the cannon horizontally and the laser is represented by a line linking (1,a) and (n,a). If b = 1, you shoot it vertically and the laser is represented by a line linking (a,1) and (a,n).<\/p>\r\n","output":"<p>Your program is to write to standard output. Print exactly l lines for each test case. Each line should contain an integer value, the weight of the heaviest battleship you destroyed by shooting the laser cannon. If you destroyed nothing, print 0.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

ICPC > Regionals > Asia Pacific > Korea > Nationwide Internet Competition > Daejeon Nationalwide Internet Competition 2013 A번

  • 문제의 오타를 찾은 사람: apink, jh05013
  • 문제를 번역한 사람: baekjoon
  • 데이터를 추가한 사람: doju
  • 데이터를 만든 사람: myungwoo