시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 4 1 1 50.000%

문제

상근이는 정글의 법칙의 상근족 족장이다. 이번에 떠날 곳은 아마존이고, 아마존의 희원 부족을 만났다. 희원 부족은 높은 나무 위에서 사는 부족이다. 이 나무는 줄로 만든 다리로 연결되어 있다.

마을이 생긴 이래로 처음으로 외부인이 왔기 때문에, 희원 부족의 부족장은 오랜 고민끝에 용기를 내어 나무에 자신들이 만든 다리를 건널 수 있는 기회를 주기로 했다.

각각의 다리는 동시에 지나갈 수 있는 사람의 수가 제한되어 있다. 만약, 이보다 많은 사람이 지나간다면, 희원 부족은 매우 놀랄 것이다.

"절대 이분들을 놀라게 하면 안 돼"

상근이는 희원 부족을 놀라게 하지 않으려고 한다. 이번 촬영은 다리를 최대한 빨리 건너는 것이다. 상근족의 족장 상근이는 희원 부족을 놀라게 하지 않기 위해서, 다음과 같은 두 가지 지시를 내렸다.

1. 한 번에 한 그룹!

어떤 다리를 두 명 또는 그 이상이 건널 수 있을 때는, 그 사람들은 한 그룹으로 정하고 동시에 다리를 건너게 한다. 이때, 다리가 무너지지 않게 하기 위해서 최대한 서로 붙어서 움직이고, 걸음걸이도 똑같이 맞추고 걷는다. 다리가 무너지지 않는다고 하더라도, 두 그룹이 동시에 같은 다리를 건널 수는 없다. 그 이유는 여러 그룹이 다리를 건너면 다리가 흔들리게 되고, 희원 부족은 매우 놀랄 것이다. 그룹의 구성원은 한 명이 될 수도 있다.

2. 계속 움직여!

만약, 건너는 사람이 없는 다리가 있다면, 최대한 많은 사람들이 그룹을 이루고 그 다리를 건너기 시작할 것이다. 물론, 이 방법은 다리를 가장 빠르게 건너는 방법은 아니다. 하지만, 희원 부족은 사람들이 다리를 건너지 않고 기다리고 있다면, 다리에 무슨 문제가 생긴 것으로 착각하고 매우 놀랄 수 있다.

다리의 정보와 사람의 수가 주어졌을 때, 위의 2가지 조건을 지키면서 모든 사람이 다리를 건너는데 드는 가장 빠른 시간을 구하는 프로그램을 작성하시오.

예를 들어, 9명이 2개의 다리를 건너는 경우를 생각해보자. 첫 번째 다리는 동시에 3명이 10초만에 건너갈 수 있고, 두 번째 다리는 4명이 60초만에 건너갈 수 있다.

첫 번째 상태는 (9 0 0)으로 나타낼 수 있다. 이 상태의 뜻은 9명이 첫 번째 다리를 건너기 위해 기다리고 있고, 두 번째 다리를 건너기 위해 기다리는 사람과 모든 다리를 건너는 사람은 없다는 뜻이다.

10초 후의 상태는 (6 3 0)이 될 것이고, 20초 후의 상태는 (3 3 /3:50/ 0)이 된다. 여기서 /3:50/의 뜻은 3명으로 이루어진 그룹이 두 번째 다리를 건너는 중이고, 50초 남았다는 뜻이다.

30초 후의 상태는 (0 6 /3:40/ 0)이 될 것이고, 70초 후의 상태는 (0 6 3)이 된다. 130초 후의 상태는 (0 2 7)이 되고 190초 후의 상태는 (0 0 9)가 된다. 다리를 건너는데 드는 가장 빠른 시간은 190초이다.

입력

입력은 여러 개의 테스트 케이스로 이루어져 있다. 각 테스트 케이스의 첫째 줄에는 음수 -B와 양수 P가 주어진다. B는 다리의 수이고, P는 사람의 수이다. B와 P는 20을 넘지 않는다. (B가 음수로 주어지는 이유는 데이터를 구분하기 쉽게 하기 위해서이다) 다음 B개 줄에는 한 줄에 하나씩 다리의 정보가 주어진다. 입력으로 주어지는 다리를 순서대로 건너야 한다. 각 다리의 정보는 두 양의 정수 C와 T로 이루어져 있다. C는 동시에 건널 수 있는 사람의 수, T는 그 다리를 건너는데 드는 시간이다. C는 최대 5이고, T는 최대 100이다. 최대 C명으로 이루어진 한 그룹이 다리를 건너는 시간은 T이다. 이때, 그룹 구성원의 수와 걸리는 시간은 상관이 없다. 입력의 마지막 줄에는 0 0이 주어진다.

출력

각 테스트 케이스에 대해서, 모든 사람이 상근이의 명령을 지키면서 다리를 건너는데 드는 가장 빠른 시간을 출력한다.

예제 입력 1

-1 2
5 17
-1 8
3 25
-2 9
3 10
4 60
-3 10
2 10
3 30
2 15
-4 8
1 8
4 30
2 10
1 12
0 0

예제 출력 1

17
75
190
145
162
[{"problem_id":"4600","problem_lang":"0","title":"\uc815\uae00\uc758 \ubc95\uce59","description":"<p>\r\n\t\uc0c1\uadfc\uc774\ub294 \uc815\uae00\uc758 \ubc95\uce59\uc758 \uc0c1\uadfc\uc871 \uc871\uc7a5\uc774\ub2e4. \uc774\ubc88\uc5d0 \ub5a0\ub0a0 \uacf3\uc740 \uc544\ub9c8\uc874\uc774\uace0, \uc544\ub9c8\uc874\uc758 \ud76c\uc6d0 \ubd80\uc871\uc744 \ub9cc\ub0ac\ub2e4. \ud76c\uc6d0 \ubd80\uc871\uc740 \ub192\uc740 \ub098\ubb34 \uc704\uc5d0\uc11c \uc0ac\ub294 \ubd80\uc871\uc774\ub2e4. \uc774 \ub098\ubb34\ub294 \uc904\ub85c \ub9cc\ub4e0 \ub2e4\ub9ac\ub85c \uc5f0\uacb0\ub418\uc5b4 \uc788\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\ub9c8\uc744\uc774 \uc0dd\uae34 \uc774\ub798\ub85c \ucc98\uc74c\uc73c\ub85c \uc678\ubd80\uc778\uc774 \uc654\uae30 \ub54c\ubb38\uc5d0, \ud76c\uc6d0 \ubd80\uc871\uc758 \ubd80\uc871\uc7a5\uc740 \uc624\ub79c \uace0\ubbfc\ub05d\uc5d0 \uc6a9\uae30\ub97c \ub0b4\uc5b4 \ub098\ubb34\uc5d0 \uc790\uc2e0\ub4e4\uc774 \ub9cc\ub4e0 \ub2e4\ub9ac\ub97c \uac74\ub110 \uc218 \uc788\ub294 \uae30\ud68c\ub97c \uc8fc\uae30\ub85c \ud588\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uac01\uac01\uc758 \ub2e4\ub9ac\ub294 \ub3d9\uc2dc\uc5d0 \uc9c0\ub098\uac08 \uc218 \uc788\ub294 \uc0ac\ub78c\uc758 \uc218\uac00 \uc81c\ud55c\ub418\uc5b4 \uc788\ub2e4. \ub9cc\uc57d, \uc774\ubcf4\ub2e4 \ub9ce\uc740 \uc0ac\ub78c\uc774 \uc9c0\ub098\uac04\ub2e4\uba74, \ud76c\uc6d0 \ubd80\uc871\uc740 \ub9e4\uc6b0 \ub180\ub784 \uac83\uc774\ub2e4.<\/p>\r\n\r\n<p>\r\n\t&quot;\uc808\ub300 \uc774\ubd84\ub4e4\uc744 \ub180\ub77c\uac8c \ud558\uba74 \uc548 \ub3fc&quot;<\/p>\r\n\r\n<p>\r\n\t\uc0c1\uadfc\uc774\ub294 \ud76c\uc6d0 \ubd80\uc871\uc744 \ub180\ub77c\uac8c \ud558\uc9c0 \uc54a\uc73c\ub824\uace0 \ud55c\ub2e4. \uc774\ubc88 \ucd2c\uc601\uc740 \ub2e4\ub9ac\ub97c \ucd5c\ub300\ud55c \ube68\ub9ac \uac74\ub108\ub294 \uac83\uc774\ub2e4. \uc0c1\uadfc\uc871\uc758 \uc871\uc7a5 \uc0c1\uadfc\uc774\ub294 \ud76c\uc6d0 \ubd80\uc871\uc744 \ub180\ub77c\uac8c \ud558\uc9c0 \uc54a\uae30 \uc704\ud574\uc11c, \ub2e4\uc74c\uacfc \uac19\uc740 \ub450 \uac00\uc9c0 \uc9c0\uc2dc\ub97c \ub0b4\ub838\ub2e4.<\/p>\r\n\r\n<p>\r\n\t1. \ud55c \ubc88\uc5d0 \ud55c \uadf8\ub8f9!<\/p>\r\n<p>\r\n\t\uc5b4\ub5a4 \ub2e4\ub9ac\ub97c \ub450 \uba85 \ub610\ub294 \uadf8 \uc774\uc0c1\uc774 \uac74\ub110 \uc218 \uc788\uc744 \ub54c\ub294, \uadf8 \uc0ac\ub78c\ub4e4\uc740 \ud55c \uadf8\ub8f9\uc73c\ub85c \uc815\ud558\uace0 \ub3d9\uc2dc\uc5d0 \ub2e4\ub9ac\ub97c \uac74\ub108\uac8c \ud55c\ub2e4. \uc774\ub54c, \ub2e4\ub9ac\uac00 \ubb34\ub108\uc9c0\uc9c0 \uc54a\uac8c \ud558\uae30 \uc704\ud574\uc11c \ucd5c\ub300\ud55c \uc11c\ub85c \ubd99\uc5b4\uc11c \uc6c0\uc9c1\uc774\uace0, \uac78\uc74c\uac78\uc774\ub3c4 \ub611\uac19\uc774 \ub9de\ucd94\uace0 \uac77\ub294\ub2e4. \ub2e4\ub9ac\uac00 \ubb34\ub108\uc9c0\uc9c0 \uc54a\ub294\ub2e4\uace0 \ud558\ub354\ub77c\ub3c4, \ub450 \uadf8\ub8f9\uc774 \ub3d9\uc2dc\uc5d0 \uac19\uc740 \ub2e4\ub9ac\ub97c \uac74\ub110 \uc218\ub294 \uc5c6\ub2e4. \uadf8 \uc774\uc720\ub294 \uc5ec\ub7ec \uadf8\ub8f9\uc774 \ub2e4\ub9ac\ub97c \uac74\ub108\uba74 \ub2e4\ub9ac\uac00 \ud754\ub4e4\ub9ac\uac8c \ub418\uace0, \ud76c\uc6d0 \ubd80\uc871\uc740 \ub9e4\uc6b0 \ub180\ub784 \uac83\uc774\ub2e4. \uadf8\ub8f9\uc758 \uad6c\uc131\uc6d0\uc740 \ud55c \uba85\uc774 \ub420 \uc218\ub3c4 \uc788\ub2e4.<\/p>\r\n\r\n<p>\r\n\t2. \uacc4\uc18d \uc6c0\uc9c1\uc5ec!<\/p>\r\n<p>\r\n\t\ub9cc\uc57d, \uac74\ub108\ub294 \uc0ac\ub78c\uc774 \uc5c6\ub294 \ub2e4\ub9ac\uac00 \uc788\ub2e4\uba74, \ucd5c\ub300\ud55c \ub9ce\uc740 \uc0ac\ub78c\ub4e4\uc774 \uadf8\ub8f9\uc744 \uc774\ub8e8\uace0 \uadf8 \ub2e4\ub9ac\ub97c \uac74\ub108\uae30 \uc2dc\uc791\ud560 \uac83\uc774\ub2e4. \ubb3c\ub860, \uc774 \ubc29\ubc95\uc740 \ub2e4\ub9ac\ub97c \uac00\uc7a5 \ube60\ub974\uac8c \uac74\ub108\ub294 \ubc29\ubc95\uc740 \uc544\ub2c8\ub2e4. \ud558\uc9c0\ub9cc, \ud76c\uc6d0 \ubd80\uc871\uc740 \uc0ac\ub78c\ub4e4\uc774 \ub2e4\ub9ac\ub97c \uac74\ub108\uc9c0 \uc54a\uace0 \uae30\ub2e4\ub9ac\uace0 \uc788\ub2e4\uba74, \ub2e4\ub9ac\uc5d0 \ubb34\uc2a8 \ubb38\uc81c\uac00 \uc0dd\uae34 \uac83\uc73c\ub85c \ucc29\uac01\ud558\uace0 \ub9e4\uc6b0 \ub180\ub784 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\ub2e4\ub9ac\uc758 \uc815\ubcf4\uc640 \uc0ac\ub78c\uc758 \uc218\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc704\uc758 2\uac00\uc9c0 \uc870\uac74\uc744 \uc9c0\ud0a4\uba74\uc11c \ubaa8\ub4e0 \uc0ac\ub78c\uc774 \ub2e4\ub9ac\ub97c \uac74\ub108\ub294\ub370 \ub4dc\ub294 \uac00\uc7a5 \ube60\ub978 \uc2dc\uac04\uc744 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n\r\n<p>\r\n\t\uc608\ub97c \ub4e4\uc5b4, 9\uba85\uc774 2\uac1c\uc758 \ub2e4\ub9ac\ub97c \uac74\ub108\ub294 \uacbd\uc6b0\ub97c \uc0dd\uac01\ud574\ubcf4\uc790. \uccab \ubc88\uc9f8 \ub2e4\ub9ac\ub294 \ub3d9\uc2dc\uc5d0 3\uba85\uc774 10\ucd08\ub9cc\uc5d0 \uac74\ub108\uac08 \uc218 \uc788\uace0, \ub450 \ubc88\uc9f8 \ub2e4\ub9ac\ub294 4\uba85\uc774 60\ucd08\ub9cc\uc5d0 \uac74\ub108\uac08 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\r\n\t\uccab \ubc88\uc9f8 \uc0c1\ud0dc\ub294 (9 0 0)\uc73c\ub85c \ub098\ud0c0\ub0bc \uc218 \uc788\ub2e4. \uc774 \uc0c1\ud0dc\uc758 \ub73b\uc740 9\uba85\uc774 \uccab \ubc88\uc9f8 \ub2e4\ub9ac\ub97c \uac74\ub108\uae30 \uc704\ud574 \uae30\ub2e4\ub9ac\uace0 \uc788\uace0, \ub450 \ubc88\uc9f8 \ub2e4\ub9ac\ub97c \uac74\ub108\uae30 \uc704\ud574 \uae30\ub2e4\ub9ac\ub294 \uc0ac\ub78c\uacfc \ubaa8\ub4e0 \ub2e4\ub9ac\ub97c \uac74\ub108\ub294 \uc0ac\ub78c\uc740 \uc5c6\ub2e4\ub294 \ub73b\uc774\ub2e4.<\/p>\r\n\r\n<p>\r\n\t10\ucd08 \ud6c4\uc758 \uc0c1\ud0dc\ub294 (6 3 0)\uc774 \ub420 \uac83\uc774\uace0, 20\ucd08 \ud6c4\uc758 \uc0c1\ud0dc\ub294 (3 3 \/3:50\/ 0)\uc774 \ub41c\ub2e4. \uc5ec\uae30\uc11c \/3:50\/\uc758 \ub73b\uc740 3\uba85\uc73c\ub85c \uc774\ub8e8\uc5b4\uc9c4 \uadf8\ub8f9\uc774 \ub450 \ubc88\uc9f8 \ub2e4\ub9ac\ub97c \uac74\ub108\ub294 \uc911\uc774\uace0, 50\ucd08 \ub0a8\uc558\ub2e4\ub294 \ub73b\uc774\ub2e4.<\/p>\r\n\r\n<p>\r\n\t30\ucd08 \ud6c4\uc758 \uc0c1\ud0dc\ub294 (0 6 \/3:40\/ 0)\uc774 \ub420 \uac83\uc774\uace0, 70\ucd08 \ud6c4\uc758 \uc0c1\ud0dc\ub294 (0 6 3)\uc774 \ub41c\ub2e4. 130\ucd08 \ud6c4\uc758 \uc0c1\ud0dc\ub294 (0 2 7)\uc774 \ub418\uace0 190\ucd08 \ud6c4\uc758 \uc0c1\ud0dc\ub294 (0 0 9)\uac00 \ub41c\ub2e4. \ub2e4\ub9ac\ub97c \uac74\ub108\ub294\ub370 \ub4dc\ub294 \uac00\uc7a5 \ube60\ub978 \uc2dc\uac04\uc740 190\ucd08\uc774\ub2e4.<\/p>\r\n","input":"<p>\r\n\t\uc785\ub825\uc740 \uc5ec\ub7ec \uac1c\uc758 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab\uc9f8 \uc904\uc5d0\ub294 \uc74c\uc218 -B\uc640 \uc591\uc218 P\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. B\ub294 \ub2e4\ub9ac\uc758 \uc218\uc774\uace0, P\ub294 \uc0ac\ub78c\uc758 \uc218\uc774\ub2e4. B\uc640 P\ub294 20\uc744 \ub118\uc9c0 \uc54a\ub294\ub2e4. (B\uac00 \uc74c\uc218\ub85c \uc8fc\uc5b4\uc9c0\ub294 \uc774\uc720\ub294 \ub370\uc774\ud130\ub97c \uad6c\ubd84\ud558\uae30 \uc27d\uac8c \ud558\uae30 \uc704\ud574\uc11c\uc774\ub2e4) \ub2e4\uc74c B\uac1c \uc904\uc5d0\ub294 \ud55c \uc904\uc5d0 \ud558\ub098\uc529 \ub2e4\ub9ac\uc758 \uc815\ubcf4\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c0\ub294 \ub2e4\ub9ac\ub97c \uc21c\uc11c\ub300\ub85c \uac74\ub108\uc57c \ud55c\ub2e4. \uac01 \ub2e4\ub9ac\uc758 \uc815\ubcf4\ub294 \ub450 \uc591\uc758 \uc815\uc218 C\uc640 T\ub85c \uc774\ub8e8\uc5b4\uc838 \uc788\ub2e4. C\ub294 \ub3d9\uc2dc\uc5d0 \uac74\ub110 \uc218 \uc788\ub294 \uc0ac\ub78c\uc758 \uc218, T\ub294 \uadf8 \ub2e4\ub9ac\ub97c \uac74\ub108\ub294\ub370 \ub4dc\ub294 \uc2dc\uac04\uc774\ub2e4. C\ub294 \ucd5c\ub300 5\uc774\uace0, T\ub294 \ucd5c\ub300 100\uc774\ub2e4. \ucd5c\ub300 C\uba85\uc73c\ub85c \uc774\ub8e8\uc5b4\uc9c4 \ud55c \uadf8\ub8f9\uc774 \ub2e4\ub9ac\ub97c \uac74\ub108\ub294 \uc2dc\uac04\uc740 T\uc774\ub2e4. \uc774\ub54c, \uadf8\ub8f9 \uad6c\uc131\uc6d0\uc758 \uc218\uc640 \uac78\ub9ac\ub294 \uc2dc\uac04\uc740 \uc0c1\uad00\uc774 \uc5c6\ub2e4. \uc785\ub825\uc758 \ub9c8\uc9c0\ub9c9 \uc904\uc5d0\ub294 0 0\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n","output":"<p>\r\n\t\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574\uc11c, \ubaa8\ub4e0 \uc0ac\ub78c\uc774 \uc0c1\uadfc\uc774\uc758 \uba85\ub839\uc744 \uc9c0\ud0a4\uba74\uc11c \ub2e4\ub9ac\ub97c \uac74\ub108\ub294\ub370 \ub4dc\ub294 \uac00\uc7a5 \ube60\ub978 \uc2dc\uac04\uc744 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"4600","problem_lang":"1","title":"The Bridges of San Mochti","description":"<p>You work at a military training facility in the jungles of San Motchi. One of the training exercises is to cross a series of rope bridges set high in the trees. Every bridge has a maximum capacity, which is the number of people that the bridge can support without breaking. The goal is to cross the bridges as quickly as possible, subject to the following tactical requirements:<\/p>\r\n\r\n<p><em>One unit at a time!<\/em><br \/>\r\nIf two or more people can cross a bridge at the same time (because they do not exceed the capacity), they do so as a unit; they walk as close together as possible, and they all take a step at the same time. It is never acceptable to have two different units on the same bridge at the same time, even if they don&#39;t exceed the capacity. Having multiple units on a bridge is not tactically sound, and multiple units can cause oscillations in the rope that slow everyone down. This rule applies even if a unit contains only a single person.<\/p>\r\n\r\n<p><em>Keep moving!<\/em><br \/>\r\nWhen a bridge is free, as many people as possible begin to cross it as a unit. Note that this strategy doesn&#39;t always lead to an optimal overall crossing time (it may be faster for a group to wait for people behind them to catch up so that more people can cross at once). But it is not tactically sound for a group to wait, because the people they&#39;re waiting for might not make it, and then they&#39;ve not only wasted time but endangered themselves as well.<\/p>\r\n\r\n<p>Periodically the bridges are reconfigured to give the trainees a different challenge. Given a bridge configuration, your job is to calculate the minimum amount of time it would take a group of people to cross all the bridges subject to these requirements.<\/p>\r\n\r\n<p>For example, suppose you have nine people who must cross two bridges: the first has capacity 3 and takes 10 seconds to cross; the second has capacity 4 and takes 60 seconds to cross. The initial state can be represented as (9 0 0), meaning that 9 people are waiting to cross the first bridge, no one is waiting to cross the second bridge, and no one has crossed the last bridge. At 10 seconds the state is (6 3 0). At 20 seconds the state is (3 3 \/3:50\/ 0), where \/3:50\/ means that a unit of three people is crossing the second bridge and has 50 seconds left. At 30 seconds the state is (0 6 \/3:40\/ 0); at 70 seconds it&#39;s (0 6 3); at 130 seconds it&#39;s (0 2 7); and at 190 seconds it&#39;s (0 0 9). Thus the total minimum time is 190 seconds.<\/p>\r\n","input":"<p>The input consists of one or more bridge configurations, followed by a line containing two zeros that signals the end of the input. Each bridge configuration begins with a line containing a negative integer &ndash;B and a positive integer P, where B is the number of bridges and P is the total number of people that must cross the bridges. Both B and P will be at most 20. (The reason for putting &ndash;B in the input file is to make the first line of a configuration stand out from the remaining lines.) Following are B lines, one for each bridge, listed in order from the first bridge that must be crossed to the last. Each bridge is defined by two positive integers C and T, where C is the capacity of the bridge (the maximum number of people the bridge can hold), and T is the time it takes to cross the bridge (in seconds). C will be at most 5, and T will be at most 100. Only one unit, of size at most C, can cross a bridge at a time; the time required is always T, regardless of the size of the unit (since they all move as one). The end of one bridge is always close to the beginning of the next, so the travel time between bridges is zero.<\/p>\r\n","output":"<p>For each bridge configuration, output one line containing the minimum amount of time it will take (in seconds) for all of the people to cross all of the bridges while meeting both tactical requirements.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]