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문제

ACM 회사는 아래 그림과 같은 빌딩의 한 층을 빌렸다. 이 층의 방들은 다음과 같이 번호가 매겨져 있다.

movingtable.png

그림처럼 이 층에는 복도를 따라 양쪽 사이드로 각각 200개의 방이 있다. ACM 회사는 이 방들을 리모델링하려는 계획을 세웠다. 당연히 어떤 방에서 다른 방으로 많은 테이블을 옮겨야 한다. 이때 복도는 좁고 테이블이 커서 단지 하나의 테이블만 이 복도를 지날 수 있다.

방에서 다른 방으로 테이블을 옮기는 데 소요되는 시간은 10분 이다. i 번째 방에서 j 번째 방으로 테이블을 옮길 때 i번 방 앞의 복도부터 j번 방 앞의 복도까지가 사용된다. 매 10분 동안 복도가 중첩되어 사용되지 않는다면 여러개의 작업을 동시에 할 수 있다.

예를 들어 30번 방에서 50번 방으로 옮기는 작업과, 60번 방에서 90번 방으로 옮기는 작업은 중첩되는 복도가 없으므로 동시에 할 수 있다. 11번 방에서 12번 방으로 옮기는 작업과, 14번 방에서 13번 방으로 옮기는 작업 역시 중첩되는 복도가 없으므로 동시에 가능하다.

하지만 20번 방에서 40번 방으로 옮기는 작업과, 31번 방에서 80번으로 옮기는 작업은, 31번 방 앞 복도부터 40번 방 앞 복도까지의 공간이 중첩되므로 동시에 작업하기엔 무리가 있다. 마찬가지로 1번 방에서 4번 방으로 옮기는 작업과, 3번 방에서 6번 방으로 옮기는 작업 역시 3번 방 앞 복도를 작업 공간으로 공유하므로 동시에 작업하기엔 무리가 있다.

각 방에서 많아야 하나의 테이블이 들어가거나 나갈 것이다. 모든 테이블을 옮기는 데 필요한 최소 시간을 구하는 프로그램을 작성하시오

입력

첫 줄에 테스트 케이스의 개수 T가 주어진다.

각 테스트 케이스마다, 첫 수는 이동 수 N ( 1 <= N <= 200 ) 이다. 다음 줄 N 줄은 각 각 두개의 양의 정수 s,t 가 입력으로 주어진다. s 방에서 t 방으로 의 이동을 의미한다. 방 번호는 많아야 한 번 입력데이터에 주어진다.

출력

각 테스트 케이스마다, 첫 줄에 책상을 옮기는 작업을 마치는 데 필요한 최소 작업 시간을 출력한다.

예제 입력 1

3
4
10 20
30 40
50 60
70 80
2
1 3
2 200
3
10 100
20 80
30 50

예제 출력 1

10
20
30
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ACM \ud68c\uc0ac\ub294 \uc774 \ubc29\ub4e4\uc744 \ub9ac\ubaa8\ub378\ub9c1\ud558\ub824\ub294 \uacc4\ud68d\uc744 \uc138\uc6e0\ub2e4. \ub2f9\uc5f0\ud788 \uc5b4\ub5a4 \ubc29\uc5d0\uc11c \ub2e4\ub978 \ubc29\uc73c\ub85c \ub9ce\uc740 \ud14c\uc774\ube14\uc744 \uc62e\uaca8\uc57c \ud55c\ub2e4.&nbsp;\uc774\ub54c \ubcf5\ub3c4\ub294 \uc881\uace0 \ud14c\uc774\ube14\uc774 \ucee4\uc11c \ub2e8\uc9c0 \ud558\ub098\uc758 \ud14c\uc774\ube14\ub9cc \uc774 \ubcf5\ub3c4\ub97c \uc9c0\ub0a0 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\ubc29\uc5d0\uc11c \ub2e4\ub978 \ubc29\uc73c\ub85c \ud14c\uc774\ube14\uc744 \uc62e\uae30\ub294 \ub370 \uc18c\uc694\ub418\ub294 \uc2dc\uac04\uc740 10\ubd84 \uc774\ub2e4. i \ubc88\uc9f8 \ubc29\uc5d0\uc11c j \ubc88\uc9f8 \ubc29\uc73c\ub85c \ud14c\uc774\ube14\uc744 \uc62e\uae38 \ub54c i\ubc88 \ubc29 \uc55e\uc758 \ubcf5\ub3c4\ubd80\ud130 j\ubc88 \ubc29 \uc55e\uc758 \ubcf5\ub3c4\uae4c\uc9c0\uac00 \uc0ac\uc6a9\ub41c\ub2e4. \ub9e4 10\ubd84 \ub3d9\uc548 \ubcf5\ub3c4\uac00 \uc911\ucca9\ub418\uc5b4 \uc0ac\uc6a9\ub418\uc9c0 \uc54a\ub294\ub2e4\uba74 \uc5ec\ub7ec\uac1c\uc758 \uc791\uc5c5\uc744 \ub3d9\uc2dc\uc5d0 \ud560 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4 30\ubc88 \ubc29\uc5d0\uc11c 50\ubc88 \ubc29\uc73c\ub85c \uc62e\uae30\ub294 \uc791\uc5c5\uacfc, 60\ubc88 \ubc29\uc5d0\uc11c 90\ubc88 \ubc29\uc73c\ub85c \uc62e\uae30\ub294 \uc791\uc5c5\uc740 \uc911\ucca9\ub418\ub294 \ubcf5\ub3c4\uac00 \uc5c6\uc73c\ubbc0\ub85c \ub3d9\uc2dc\uc5d0 \ud560 \uc218 \uc788\ub2e4. 11\ubc88 \ubc29\uc5d0\uc11c 12\ubc88 \ubc29\uc73c\ub85c \uc62e\uae30\ub294 \uc791\uc5c5\uacfc, 14\ubc88 \ubc29\uc5d0\uc11c 13\ubc88 \ubc29\uc73c\ub85c \uc62e\uae30\ub294 \uc791\uc5c5 \uc5ed\uc2dc \uc911\ucca9\ub418\ub294 \ubcf5\ub3c4\uac00 \uc5c6\uc73c\ubbc0\ub85c \ub3d9\uc2dc\uc5d0 \uac00\ub2a5\ud558\ub2e4.<\/p>\r\n\r\n<p>\ud558\uc9c0\ub9cc 20\ubc88 \ubc29\uc5d0\uc11c 40\ubc88 \ubc29\uc73c\ub85c \uc62e\uae30\ub294 \uc791\uc5c5\uacfc, 31\ubc88 \ubc29\uc5d0\uc11c 80\ubc88\uc73c\ub85c \uc62e\uae30\ub294 \uc791\uc5c5\uc740, 31\ubc88 \ubc29 \uc55e \ubcf5\ub3c4\ubd80\ud130 40\ubc88 \ubc29 \uc55e \ubcf5\ub3c4\uae4c\uc9c0\uc758 \uacf5\uac04\uc774 \uc911\ucca9\ub418\ubbc0\ub85c \ub3d9\uc2dc\uc5d0 \uc791\uc5c5\ud558\uae30\uc5d4 \ubb34\ub9ac\uac00 \uc788\ub2e4. \ub9c8\ucc2c\uac00\uc9c0\ub85c 1\ubc88 \ubc29\uc5d0\uc11c 4\ubc88 \ubc29\uc73c\ub85c \uc62e\uae30\ub294 \uc791\uc5c5\uacfc, 3\ubc88 \ubc29\uc5d0\uc11c 6\ubc88 \ubc29\uc73c\ub85c \uc62e\uae30\ub294 \uc791\uc5c5 \uc5ed\uc2dc 3\ubc88 \ubc29 \uc55e \ubcf5\ub3c4\ub97c \uc791\uc5c5 \uacf5\uac04\uc73c\ub85c \uacf5\uc720\ud558\ubbc0\ub85c \ub3d9\uc2dc\uc5d0 \uc791\uc5c5\ud558\uae30\uc5d4 \ubb34\ub9ac\uac00 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ubc29\uc5d0\uc11c \ub9ce\uc544\uc57c \ud558\ub098\uc758 \ud14c\uc774\ube14\uc774 \ub4e4\uc5b4\uac00\uac70\ub098 \ub098\uac08 \uac83\uc774\ub2e4. \ubaa8\ub4e0 \ud14c\uc774\ube14\uc744 \uc62e\uae30\ub294 \ub370 \ud544\uc694\ud55c \ucd5c\uc18c \uc2dc\uac04\uc744 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uac1c\uc218 T\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4, \uccab \uc218\ub294 \uc774\ub3d9 \uc218 N ( 1 &lt;= N &lt;= 200 ) \uc774\ub2e4. \ub2e4\uc74c \uc904 N \uc904\uc740 \uac01 \uac01 \ub450\uac1c\uc758 \uc591\uc758 \uc815\uc218 s,t \uac00 \uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. s \ubc29\uc5d0\uc11c t \ubc29\uc73c\ub85c \uc758 \uc774\ub3d9\uc744 \uc758\ubbf8\ud55c\ub2e4. \ubc29 \ubc88\ud638\ub294 \ub9ce\uc544\uc57c \ud55c \ubc88 \uc785\ub825\ub370\uc774\ud130\uc5d0 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4, \uccab \uc904\uc5d0 \ucc45\uc0c1\uc744 \uc62e\uae30\ub294 \uc791\uc5c5\uc744 \ub9c8\uce58\ub294 \ub370 \ud544\uc694\ud55c \ucd5c\uc18c \uc791\uc5c5 \uc2dc\uac04\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"Korean"},{"problem_id":"7348","problem_lang":"1","title":"Moving Tables","description":"<p>The famous ACM (Advanced Computer Maker) Company has rented a floor of a building whose shape is in the following figure.<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/movingtable.png\" style=\"height:135px; width:366px\" \/><\/p>\r\n\r\n<p>The floor has 200 rooms each on the north side and south side along the corridor. Recently the Company made a plan to reform its system. The reform includes moving a lot of tables between rooms. Because the corridor is narrow and all the tables are big, only one table can pass through the corridor. Some plan is needed to make the moving efficient. The manager figured out the following plan: Moving a table from a room to another room can be done within 10 minutes. When moving a table from room i to room j, the part of the corridor between the front of room i and the front of room j is used. So, during each 10 minutes, several moving between two rooms not sharing the same part of the corridor will be done simultaneously. To make it clear the manager illustrated the possible cases and impossible cases of simultaneous moving.<\/p>\r\n\r\n<table class=\"table table-bordered\" style=\"width:80%\">\r\n\t<thead>\r\n\t\t<tr>\r\n\t\t\t<th>&nbsp;<\/th>\r\n\t\t\t<th>Table moving<\/th>\r\n\t\t\t<th>Reason<\/th>\r\n\t\t<\/tr>\r\n\t<\/thead>\r\n\t<tbody>\r\n\t\t<tr>\r\n\t\t\t<th rowspan=\"2\">Possible<\/th>\r\n\t\t\t<td>(room 30 to room 50) and (room 60 to room 90)<\/td>\r\n\t\t\t<td>no part of corridor is shared<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>(room 11 to room 12) and (room 14 to room 13)<\/td>\r\n\t\t\t<td>no part of corridor is shared<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<th rowspan=\"3\">Impossible<\/th>\r\n\t\t\t<td>(room 20 to room 40) and (room 31 to room 80)<\/td>\r\n\t\t\t<td>corridor in front of room 31 to room 40 is shared<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>(room 1 to room 4) and (room 3 to room 6)<\/td>\r\n\t\t\t<td>corridor in front of room 3 is shared<\/td>\r\n\t\t<\/tr>\r\n\t\t<tr>\r\n\t\t\t<td>(room 2 to room 8) and (room 7 to room 10)<\/td>\r\n\t\t\t<td>corridor in front of room 7 is shared<\/td>\r\n\t\t<\/tr>\r\n\t<\/tbody>\r\n<\/table>\r\n\r\n<p>For each room, at most one table will be either moved in or moved out. Now, the manager seeks out a method to minimize the time to move all the tables. Your job is to write a program to solve the manager&rsquo;s problem.<\/p>\r\n","input":"<p>The input consists of T test cases. The number of test cases (T) is given in the first line of the input file. Each test case begins with a line containing an integer N , 1&le; N &le; 200 , that represents the number of tables to move. Each of the following N lines contains two positive integers s and t, representing that a table is to move from room number s to room number t (each room number appears at most once in the N lines). From the N + 3-rd line, the remaining test cases are listed in the same manner as above.<\/p>\r\n","output":"<p>The output should contain the minimum time in minutes to complete the moving, one per line.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"English"}]

출처

ICPC > Regionals > Asia Pacific > Korea > Asia Regional - Taejon 2001 F번