시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
5 초 128 MB 33 7 7 35.000%

문제

현종이는 공장 노동자이다. 부푼 꿈을 안고 입사해 20년간 일해왔으나, 만일 이번 달에 생산 효율이 증가하지 않는다면 다음 달에 해고될 것이라는 청천벽력같은 소식을 듣고 말았다. 현종이의 일은 간단하다. 주어진 순서대로 조각을 조립하여 제품을 제작하면 된다. 하지만 조각 a, b, c를 조립할 때, a-b 를 조립한 뒤 c를 이어붙이는 것과 b-c를 조립한 뒤 a를 이어붙이는 데에 걸리는 시간이 다르다. 현종이는 아마 이 공정을 효율적으로 개선하면 공장 일을 계속할 수 있을 것이라 판단했다.

현종이를 돕기 위해, 당신은 모든 조각을 조립하는 최적의 방법을 알려주는 프로그램을 작성하면 된다. 프로그램의 첫 줄에 조각의 목록이 주어진 뒤, 그 다음 줄부터 조각을 이어붙이는 데에 걸리는 시간과 그 결과물이 표 형태로 주어진다.

예제는 다음과 같다.

a와 a를 이어붙이는 데엔 3의 시간이 걸리고, 그 결과는 부품 b가 된다. 그리고 이것의 뒤에 다시 a를 이어붙이는 데엔 6의 시간이 걸릴 것이다. 표는 대칭이 아닐 수 있다. b-a를 조립하는 시간과 a-b를 조립하는 시간이 다를 수 있다는 의미이다.

만일 만들고자 하는 완성품이 aba라면, 두 가지 가능한 경우는 다음과 같다.

  • (ab)a = ba = a , 걸리는 시간 = time(ab) + time(ba) = 5 + 6 =11
  • a(ba) = aa = b , 걸리는 시간 = time(ba) + time(aa) = 6 + 3 = 9

따라서 출력은 9-b가 될 것이다.

입력

입력은 여러 개의 테스트 케이스로 이루어져 있다.

각 테스트 케이스의 첫 줄엔 자연수 k ( 1 ≤ k ≤ 26 ) 이 주어지며, 그 다음 줄엔 공백으로 구분되어 조각의 이름들이 주어진다. ( [a-z] 에 포함되는 알파벳 ).

다음 k개의 줄엔 생산 공정 표가 주어진다. 각 줄은 k개의 문자열로 이루어져 있으며, i행 j열의 값은 i번째 부품을 j번째 부품과 조립하는 데에 걸리는 시간과 결과물을 나타낸다. 조립에 걸리는 시간은 0 이상 1000000 이하의 정수이며, 결과물로 잘못된 문자가 주어지는 경우는 없다.

그 다음 줄엔 정수 n이 주어지며, 만들고자 하는 완성품의 개수이다.

다음 n줄엔 완성품의 형태가 주어진다.

각 완성품은 200개 이하의 부품으로 이루어져 있으며, 주어진 형태를 변경하여 조립할 수는 없다.

k=0일 경우 프로그램을 종료하며 이 경우엔 아무 것도 출력하지 않는다.

출력

각 테스트 케이스에 대해, 각 완성품을 가장 빨리 만들 수 있는 경우에 걸리는 시간과 그 때의 결과물을 time-result 의 형태로 한 줄에 하나씩 출력한다. 만일 그러한 것이 여러 가지라면 결과물이 처음 주어진 부품의 목록에서 더 먼저 등장한 것을 출력한다. 예를 들어, 결과로 5-b와 5-c가 가능하며, 테스트 케이스의 두 번째 줄에서 입력받은 부품의 목록이 a c b 였다면 5-c를 출력하면 된다.

각 테스트 케이스의 사이엔 빈 줄을 하나 출력한다.

예제 입력 1

2
a b
3-b 5-b
6-a 2-b
2
aba
bba
2
m e
5-e 4-m
3-e 4-m
1
eme
0

예제 출력 1

9-b
8-a

7-m
[{"problem_id":"3852","problem_lang":"0","title":"\uc0dd\uc0b0 \uacf5\uc815","description":"<p>\ud604\uc885\uc774\ub294 \uacf5\uc7a5 \ub178\ub3d9\uc790\uc774\ub2e4. \ubd80\ud47c \uafc8\uc744 \uc548\uace0 \uc785\uc0ac\ud574 20\ub144\uac04 \uc77c\ud574\uc654\uc73c\ub098, \ub9cc\uc77c \uc774\ubc88 \ub2ec\uc5d0&nbsp;\uc0dd\uc0b0 \ud6a8\uc728\uc774 \uc99d\uac00\ud558\uc9c0 \uc54a\ub294\ub2e4\uba74 \ub2e4\uc74c \ub2ec\uc5d0 \ud574\uace0\ub420 \uac83\uc774\ub77c\ub294 \uccad\ucc9c\ubcbd\ub825\uac19\uc740 \uc18c\uc2dd\uc744 \ub4e3\uace0 \ub9d0\uc558\ub2e4. \ud604\uc885\uc774\uc758 \uc77c\uc740 \uac04\ub2e8\ud558\ub2e4. \uc8fc\uc5b4\uc9c4 \uc21c\uc11c\ub300\ub85c \uc870\uac01\uc744 \uc870\ub9bd\ud558\uc5ec \uc81c\ud488\uc744 \uc81c\uc791\ud558\uba74 \ub41c\ub2e4. \ud558\uc9c0\ub9cc \uc870\uac01 a, b, c\ub97c \uc870\ub9bd\ud560 \ub54c, a-b \ub97c \uc870\ub9bd\ud55c \ub4a4 c\ub97c \uc774\uc5b4\ubd99\uc774\ub294 \uac83\uacfc b-c\ub97c \uc870\ub9bd\ud55c \ub4a4 a\ub97c \uc774\uc5b4\ubd99\uc774\ub294 \ub370\uc5d0 \uac78\ub9ac\ub294 \uc2dc\uac04\uc774 \ub2e4\ub974\ub2e4. \ud604\uc885\uc774\ub294&nbsp;\uc544\ub9c8 \uc774 \uacf5\uc815\uc744 \ud6a8\uc728\uc801\uc73c\ub85c \uac1c\uc120\ud558\uba74 \uacf5\uc7a5 \uc77c\uc744 \uacc4\uc18d\ud560 \uc218 \uc788\uc744 \uac83\uc774\ub77c \ud310\ub2e8\ud588\ub2e4.<\/p>\r\n\r\n<p>\ud604\uc885\uc774\ub97c \ub3d5\uae30 \uc704\ud574, \ub2f9\uc2e0\uc740 \ubaa8\ub4e0 \uc870\uac01\uc744 \uc870\ub9bd\ud558\ub294 \ucd5c\uc801\uc758 \ubc29\ubc95\uc744 \uc54c\ub824\uc8fc\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uba74 \ub41c\ub2e4.&nbsp;\ud504\ub85c\uadf8\ub7a8\uc758 \uccab \uc904\uc5d0 \uc870\uac01\uc758 \ubaa9\ub85d\uc774 \uc8fc\uc5b4\uc9c4 \ub4a4, \uadf8 \ub2e4\uc74c \uc904\ubd80\ud130&nbsp;\uc870\uac01\uc744 \uc774\uc5b4\ubd99\uc774\ub294 \ub370\uc5d0 \uac78\ub9ac\ub294 \uc2dc\uac04\uacfc \uadf8 \uacb0\uacfc\ubb3c\uc774 \ud45c \ud615\ud0dc\ub85c \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uc608\uc81c\ub294 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<p><img src=\"\/upload\/images\/assemble.png\" \/><\/p>\r\n\r\n<p>a\uc640 a\ub97c \uc774\uc5b4\ubd99\uc774\ub294 \ub370\uc5d4 3\uc758 \uc2dc\uac04\uc774 \uac78\ub9ac\uace0, \uadf8 \uacb0\uacfc\ub294 \ubd80\ud488 b\uac00 \ub41c\ub2e4. \uadf8\ub9ac\uace0&nbsp;\uc774\uac83\uc758 \ub4a4\uc5d0 \ub2e4\uc2dc a\ub97c \uc774\uc5b4\ubd99\uc774\ub294 \ub370\uc5d4 6\uc758 \uc2dc\uac04\uc774 \uac78\ub9b4 \uac83\uc774\ub2e4.&nbsp;\ud45c\ub294 \ub300\uce6d\uc774 \uc544\ub2d0 \uc218 \uc788\ub2e4. b-a\ub97c \uc870\ub9bd\ud558\ub294 \uc2dc\uac04\uacfc a-b\ub97c \uc870\ub9bd\ud558\ub294 \uc2dc\uac04\uc774 \ub2e4\ub97c \uc218 \uc788\ub2e4\ub294 \uc758\ubbf8\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub9cc\uc77c \ub9cc\ub4e4\uace0\uc790 \ud558\ub294 \uc644\uc131\ud488\uc774 aba\ub77c\uba74, \ub450 \uac00\uc9c0 \uac00\ub2a5\ud55c \uacbd\uc6b0\ub294 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>(ab)a = ba = a , \uac78\ub9ac\ub294 \uc2dc\uac04 = time(ab) + time(ba) = 5 + 6 =11<\/li>\r\n\t<li>a(ba) = aa = b&nbsp;, \uac78\ub9ac\ub294 \uc2dc\uac04 = time(ba) + time(aa) = 6 + 3 = 9<\/li>\r\n<\/ul>\r\n\r\n<p>\ub530\ub77c\uc11c \ucd9c\ub825\uc740 9-b\uac00 \ub420 \uac83\uc774\ub2e4.<\/p>\r\n","input":"<p>\uc785\ub825\uc740 \uc5ec\ub7ec \uac1c\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab \uc904\uc5d4 \uc790\uc5f0\uc218 k ( 1&nbsp;&le; k&nbsp;&le; 26 ) \uc774 \uc8fc\uc5b4\uc9c0\uba70, \uadf8 \ub2e4\uc74c \uc904\uc5d4 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc870\uac01\uc758 \uc774\ub984\ub4e4\uc774 \uc8fc\uc5b4\uc9c4\ub2e4. ( [a-z] \uc5d0 \ud3ec\ud568\ub418\ub294 \uc54c\ud30c\ubcb3 ).<\/p>\r\n\r\n<p>\ub2e4\uc74c k\uac1c\uc758 \uc904\uc5d4 \uc0dd\uc0b0 \uacf5\uc815 \ud45c\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \uc904\uc740 k\uac1c\uc758 \ubb38\uc790\uc5f4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uc73c\uba70, i\ud589 j\uc5f4\uc758 \uac12\uc740 i\ubc88\uc9f8 \ubd80\ud488\uc744 j\ubc88\uc9f8 \ubd80\ud488\uacfc \uc870\ub9bd\ud558\ub294 \ub370\uc5d0 \uac78\ub9ac\ub294 \uc2dc\uac04\uacfc \uacb0\uacfc\ubb3c\uc744 \ub098\ud0c0\ub0b8\ub2e4. \uc870\ub9bd\uc5d0 \uac78\ub9ac\ub294 \uc2dc\uac04\uc740 0 \uc774\uc0c1 1000000 \uc774\ud558\uc758 \uc815\uc218\uc774\uba70, \uacb0\uacfc\ubb3c\ub85c \uc798\ubabb\ub41c \ubb38\uc790\uac00 \uc8fc\uc5b4\uc9c0\ub294 \uacbd\uc6b0\ub294 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\uadf8 \ub2e4\uc74c \uc904\uc5d4 \uc815\uc218 n\uc774 \uc8fc\uc5b4\uc9c0\uba70, \ub9cc\ub4e4\uace0\uc790 \ud558\ub294 \uc644\uc131\ud488\uc758 \uac1c\uc218\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c n\uc904\uc5d4 \uc644\uc131\ud488\uc758 \ud615\ud0dc\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uac01&nbsp;\uc644\uc131\ud488\uc740 200\uac1c \uc774\ud558\uc758 \ubd80\ud488\uc73c\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\uc73c\uba70, \uc8fc\uc5b4\uc9c4 \ud615\ud0dc\ub97c \ubcc0\uacbd\ud558\uc5ec&nbsp;\uc870\ub9bd\ud560 \uc218\ub294 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>k=0\uc77c \uacbd\uc6b0 \ud504\ub85c\uadf8\ub7a8\uc744 \uc885\ub8cc\ud558\uba70 \uc774 \uacbd\uc6b0\uc5d4 \uc544\ubb34 \uac83\ub3c4 \ucd9c\ub825\ud558\uc9c0 \uc54a\ub294\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574, \uac01 \uc644\uc131\ud488\uc744 \uac00\uc7a5 \ube68\ub9ac \ub9cc\ub4e4 \uc218 \uc788\ub294 \uacbd\uc6b0\uc5d0 \uac78\ub9ac\ub294 \uc2dc\uac04\uacfc \uadf8 \ub54c\uc758 \uacb0\uacfc\ubb3c\uc744 time-result \uc758 \ud615\ud0dc\ub85c \ud55c \uc904\uc5d0 \ud558\ub098\uc529&nbsp;\ucd9c\ub825\ud55c\ub2e4. \ub9cc\uc77c \uadf8\ub7ec\ud55c \uac83\uc774 \uc5ec\ub7ec \uac00\uc9c0\ub77c\uba74 \uacb0\uacfc\ubb3c\uc774 \ucc98\uc74c \uc8fc\uc5b4\uc9c4 \ubd80\ud488\uc758 \ubaa9\ub85d\uc5d0\uc11c \ub354 \uba3c\uc800 \ub4f1\uc7a5\ud55c \uac83\uc744 \ucd9c\ub825\ud55c\ub2e4. \uc608\ub97c \ub4e4\uc5b4, \uacb0\uacfc\ub85c 5-b\uc640 5-c\uac00 \uac00\ub2a5\ud558\uba70, \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \ub450 \ubc88\uc9f8 \uc904\uc5d0\uc11c \uc785\ub825\ubc1b\uc740 \ubd80\ud488\uc758 \ubaa9\ub85d\uc774 a c b \uc600\ub2e4\uba74 5-c\ub97c \ucd9c\ub825\ud558\uba74 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc0ac\uc774\uc5d4 \ube48 \uc904\uc744 \ud558\ub098 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"3852","problem_lang":"1","title":"Assembly line","description":"<p>The last worker in a production line at the factory of Automated Composed Machinery is worried. She knows that her job hangs in the balance unless her productivity increases. Her work consists of assembling a set of pieces in a given sequence, but the time spent on assembling pieces a and b and then c may not the same as that on assembling pieces b and c, and then assembling a with the resulting component. Only two consecutive pieces may be assembled at a time, and once they are assembled they behave as another piece in terms of the time needed for further assembly.<\/p>\r\n\r\n<p>In order to aid her, you need to find the optimal way to assemble all components. The input to your program will be a set of symbols representing (types of) pieces, and a so-called assembly table representing the time it takes to assemble them, as well as the type of the resulting component. For instance, we may have two symbols {a, b}, and the following table:<\/p>\r\n\r\n<p><img alt=\"\" src=\"\/upload\/images\/assemble.png\" style=\"height:70px; width:109px\" \/><\/p>\r\n\r\n<p>This means, for example, that two pieces of type a and a may assembled in 3 minutes, and the result is a component of type b, in that the time required to assemble it again with another piece of, say, type a is 6 minutes, and so on. Note that the table is not symmetric, i.e. assembling b and a may be more time-consuming than a and b.<\/p>\r\n\r\n<p>For a sequence of components labelled aba, the two possible solutions are:<\/p>\r\n\r\n<ul>\r\n\t<li>(ab)a = ba = a with time time(ab) + time(ba) = 5 + 6 = 11.<\/li>\r\n\t<li>a(ba) = aa = b with time time(ba) + time(aa) = 6 + 3 = 9.<\/li>\r\n<\/ul>\r\n\r\n<p>So the result for this case would be a piece of type b in 9 minutes (denoted 9-b).<\/p>\r\n","input":"<p>The input consists of several test cases. Each test case begins with a line containing a natural number k (1 &le; k &le; 26), followed by a line with k symbols (characters in [a-z]) separated by spaces. The following k lines contain the assembly table: the i-th line has k pairs of the form time-result, where time is an integer between 0 and 1 000 000 inclusive, and result a symbol belonging to the preceding set. The j-th pair in the i-th line represents the time to compose pieces of types represented by the i-th and j-th symbols, along with the type of the resulting piece. After the table, a line with an integer n indicates the number of lines that follow, each line being a string of at most 200 symbols. Each of these lines is a sequence of components that need to be assembled together in the right order.<\/p>\r\n\r\n<p>The input will finish with a line containing 0, which should not be processed.<\/p>\r\n","output":"<p>For each test case, print n lines, each with an integer time and a symbol result in the format time-result. Each line represents the minimum time and the type of the resulting piece for the corresponding case in the input. In case of a tie among several possible results with the same minimum time, choose from among those the piece whose type letter appears first in the line that contained the k symbols at the beginning of the test case. (For example, if that line was a c b and both c and b can be obtained with minimum cost 5, print 5-c).<\/p>\r\n\r\n<p>There must be an empty line between the output of different test cases.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]