시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 1 1 1 100.000%

문제

n개의 체크포인트가 있고, 원점에서 출발하여 체크포인트들을 순서대로 방문하고 원점으로 돌아오는 경주가 진행된다. 이때 모든 체크포인트를 방문할 필요는 없지만 반드시 주어진 순서를 지키면서 방문해야 한다. 체크포인트 번호가 순서대로 1~n이라 할 때, 1, 2, 5번 순서대로 방문할 수는 있지만 4, 2번 순서대로는 방문할 수 없다.

원점이나 체크포인트 사이를 이동할 때는 반드시 직선 경로로 이동하는데, 이때 경로 위에 다른 체크포인트가 존재할 수도 있다. 이때는 방문해도 되고 방문하지 않아도 된다. 그리고 각각의 체크포인트에는 방문할 시 얻는 점수가 있는데, 우승자는 방문한 체크포인트의 점수 합이 가장 높은 사람이 된다. 물론 하나의 체크포인트에서는 점수를 한 번만 획득할 수 있다.

그러나 경주에 참여한 사람들이 모두 남규와 그 친구들이라 하나같이 약골이다. 그들은 각각 달릴 수 있는 거리 한계가 명확해서 그 안에 돌아오지 못하면 대회를 완주할 수 없다. 그들은 약골인데다 근성도 없어서 절대 그 거리보다 많이 뛸 수 없다. 다행히 각자는 자신이 얼마나 달릴 수 있는지 알고 있기 때문에, 한도 안에서 완주하면서 얻을 수 있는 점수가 최대 몇 점인지를 미리 계산해보려고 한다. 남규와 친구들을 위해 이를 구해 주는 프로그램을 작성해보자!

입력

입력은 여러 개의 테스트 케이스로 이루어져 있다. 각 테스트 케이스는 다음과 같이 이루어져 있으며, 전체 입력의 끝에는 0 하나가 주어진다.

  • 첫째 줄에 체크포인트의 개수 n이 주어진다(1 ≤ n ≤ 30).
  • 이어서 n개의 줄에 각 체크포인트의 좌표 x, y, 점수 s를 의미하는 정수 3개가 순서대로 주어진다(−5000 ≤ x, y ≤ 5000, 10 ≤ s ≤ 200).
  • 이어서 여러 줄에 각 선수의 이름과 최대한 달릴 수 있는 거리의 한계를 의미하는 정수 d가 공백으로 구분되어 줄마다 주어진다(0 ≤ d ≤ 10000). 선수의 이름은 60글자를 넘지 않으며 공백을 포함하지 않는다. 마지막 줄에는 선수 이름 대신 '# 0'이 주어지며, 이 줄은 각 테스트 케이스의 끝을 의미한다.

각 선수들은 원점(0, 0)에서 출발하여 몇몇 체크포인트를 방문했다가 다시 원점으로 돌아와야 한다. 아무것도 방문하지 않을 수도 있다. 경주가 이루어지는 공간은 완전히 평평한 2차원 공간이라고 가정한다.

출력

각 테스트 케이스마다 첫째 줄에 ‘Race r’을 출력한다. r에는 테스트 케이스의 번호가 들어간다. 이어서 각 줄마다 선수 정보를 입력받은 순서대로 선수의 이름과 얻을 수 있는 최대 점수를 출력 양식 ‘이름: 점수’에 맞게 출력한다.

예제 입력 1

5
750 -800 30
1500 0 50
750 750 60
-1250 750 70
-1000 -500 50
Chris 7000
Karl 6500
Tania 5000
# 0
4
500 0 10
0 500 10
-500 0 10
0 -500 10
Hanny 2100
Lizzie 1800
# 0
0

예제 출력 1

Race 1
Chris: 230
Karl: 180
Tania: 140
Race 2
Hanny: 20
Lizzie: 20
[{"problem_id":"1993","problem_lang":"0","title":"\uacbd\uc8fc","description":"<p>n\uac1c\uc758 \uccb4\ud06c\ud3ec\uc778\ud2b8\uac00 \uc788\uace0, \uc6d0\uc810\uc5d0\uc11c \ucd9c\ubc1c\ud558\uc5ec \uccb4\ud06c\ud3ec\uc778\ud2b8\ub4e4\uc744 \uc21c\uc11c\ub300\ub85c \ubc29\ubb38\ud558\uace0 \uc6d0\uc810\uc73c\ub85c \ub3cc\uc544\uc624\ub294 \uacbd\uc8fc\uac00 \uc9c4\ud589\ub41c\ub2e4. \uc774\ub54c \ubaa8\ub4e0 \uccb4\ud06c\ud3ec\uc778\ud2b8\ub97c \ubc29\ubb38\ud560 \ud544\uc694\ub294 \uc5c6\uc9c0\ub9cc \ubc18\ub4dc\uc2dc \uc8fc\uc5b4\uc9c4 \uc21c\uc11c\ub97c \uc9c0\ud0a4\uba74\uc11c \ubc29\ubb38\ud574\uc57c \ud55c\ub2e4. \uccb4\ud06c\ud3ec\uc778\ud2b8 \ubc88\ud638\uac00 \uc21c\uc11c\ub300\ub85c 1~n\uc774\ub77c \ud560 \ub54c, 1, 2, 5\ubc88 \uc21c\uc11c\ub300\ub85c \ubc29\ubb38\ud560 \uc218\ub294 \uc788\uc9c0\ub9cc 4, 2\ubc88 \uc21c\uc11c\ub300\ub85c\ub294 \ubc29\ubb38\ud560 \uc218 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\uc6d0\uc810\uc774\ub098 \uccb4\ud06c\ud3ec\uc778\ud2b8 \uc0ac\uc774\ub97c \uc774\ub3d9\ud560 \ub54c\ub294 \ubc18\ub4dc\uc2dc \uc9c1\uc120 \uacbd\ub85c\ub85c \uc774\ub3d9\ud558\ub294\ub370, \uc774\ub54c \uacbd\ub85c \uc704\uc5d0 \ub2e4\ub978 \uccb4\ud06c\ud3ec\uc778\ud2b8\uac00 \uc874\uc7ac\ud560 \uc218\ub3c4 \uc788\ub2e4. \uc774\ub54c\ub294 \ubc29\ubb38\ud574\ub3c4 \ub418\uace0 \ubc29\ubb38\ud558\uc9c0 \uc54a\uc544\ub3c4 \ub41c\ub2e4. \uadf8\ub9ac\uace0 \uac01\uac01\uc758 \uccb4\ud06c\ud3ec\uc778\ud2b8\uc5d0\ub294 \ubc29\ubb38\ud560 \uc2dc \uc5bb\ub294 \uc810\uc218\uac00 \uc788\ub294\ub370, \uc6b0\uc2b9\uc790\ub294 \ubc29\ubb38\ud55c \uccb4\ud06c\ud3ec\uc778\ud2b8\uc758 \uc810\uc218 \ud569\uc774 \uac00\uc7a5 \ub192\uc740 \uc0ac\ub78c\uc774 \ub41c\ub2e4. \ubb3c\ub860 \ud558\ub098\uc758 \uccb4\ud06c\ud3ec\uc778\ud2b8\uc5d0\uc11c\ub294 \uc810\uc218\ub97c \ud55c \ubc88\ub9cc \ud68d\ub4dd\ud560 \uc218 \uc788\ub2e4.<\/p>\r\n\r\n<p>\uadf8\ub7ec\ub098 \uacbd\uc8fc\uc5d0 \ucc38\uc5ec\ud55c \uc0ac\ub78c\ub4e4\uc774 \ubaa8\ub450 \ub0a8\uaddc\uc640 \uadf8 \uce5c\uad6c\ub4e4\uc774\ub77c \ud558\ub098\uac19\uc774 \uc57d\uace8\uc774\ub2e4. \uadf8\ub4e4\uc740 \uac01\uac01 \ub2ec\ub9b4 \uc218 \uc788\ub294 \uac70\ub9ac \ud55c\uacc4\uac00 \uba85\ud655\ud574\uc11c \uadf8 \uc548\uc5d0 \ub3cc\uc544\uc624\uc9c0 \ubabb\ud558\uba74 \ub300\ud68c\ub97c \uc644\uc8fc\ud560 \uc218 \uc5c6\ub2e4. \uadf8\ub4e4\uc740 \uc57d\uace8\uc778\ub370\ub2e4 \uadfc\uc131\ub3c4 \uc5c6\uc5b4\uc11c \uc808\ub300 \uadf8 \uac70\ub9ac\ubcf4\ub2e4 \ub9ce\uc774 \ub6f8 \uc218 \uc5c6\ub2e4. \ub2e4\ud589\ud788 \uac01\uc790\ub294 \uc790\uc2e0\uc774 \uc5bc\ub9c8\ub098 \ub2ec\ub9b4 \uc218 \uc788\ub294\uc9c0 \uc54c\uace0 \uc788\uae30 \ub54c\ubb38\uc5d0, \ud55c\ub3c4 \uc548\uc5d0\uc11c \uc644\uc8fc\ud558\uba74\uc11c \uc5bb\uc744 \uc218 \uc788\ub294 \uc810\uc218\uac00 \ucd5c\ub300 \uba87 \uc810\uc778\uc9c0\ub97c \ubbf8\ub9ac \uacc4\uc0b0\ud574\ubcf4\ub824\uace0 \ud55c\ub2e4. \ub0a8\uaddc\uc640 \uce5c\uad6c\ub4e4\uc744 \uc704\ud574 \uc774\ub97c \uad6c\ud574 \uc8fc\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud574\ubcf4\uc790!<\/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. \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub294 \ub2e4\uc74c\uacfc \uac19\uc774 \uc774\ub8e8\uc5b4\uc838 \uc788\uc73c\uba70, \uc804\uccb4 \uc785\ub825\uc758 \ub05d\uc5d0\ub294 0 \ud558\ub098\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<ul>\r\n\t<li>\uccab\uc9f8 \uc904\uc5d0 \uccb4\ud06c\ud3ec\uc778\ud2b8\uc758 \uac1c\uc218 n\uc774 \uc8fc\uc5b4\uc9c4\ub2e4(1 &le; n &le; 30).<\/li>\r\n\t<li>\uc774\uc5b4\uc11c n\uac1c\uc758 \uc904\uc5d0 \uac01 \uccb4\ud06c\ud3ec\uc778\ud2b8\uc758 \uc88c\ud45c x, y, \uc810\uc218 s\ub97c \uc758\ubbf8\ud558\ub294 \uc815\uc218 3\uac1c\uac00 \uc21c\uc11c\ub300\ub85c \uc8fc\uc5b4\uc9c4\ub2e4(&minus;5000 &le; x, y &le; 5000, 10 &le; s &le; 200).<\/li>\r\n\t<li>\uc774\uc5b4\uc11c \uc5ec\ub7ec \uc904\uc5d0 \uac01 \uc120\uc218\uc758 \uc774\ub984\uacfc \ucd5c\ub300\ud55c \ub2ec\ub9b4 \uc218 \uc788\ub294 \uac70\ub9ac\uc758 \ud55c\uacc4\ub97c \uc758\ubbf8\ud558\ub294 \uc815\uc218 d\uac00 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc904\ub9c8\ub2e4 \uc8fc\uc5b4\uc9c4\ub2e4(0 &le; d &le; 10000). \uc120\uc218\uc758 \uc774\ub984\uc740 60\uae00\uc790\ub97c \ub118\uc9c0 \uc54a\uc73c\uba70 \uacf5\ubc31\uc744 \ud3ec\ud568\ud558\uc9c0 \uc54a\ub294\ub2e4. \ub9c8\uc9c0\ub9c9 \uc904\uc5d0\ub294 \uc120\uc218 \uc774\ub984 \ub300\uc2e0 &#39;# 0&#39;\uc774 \uc8fc\uc5b4\uc9c0\uba70, \uc774 \uc904\uc740 \uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \ub05d\uc744 \uc758\ubbf8\ud55c\ub2e4.<\/li>\r\n<\/ul>\r\n\r\n<p>\uac01 \uc120\uc218\ub4e4\uc740 \uc6d0\uc810(0, 0)\uc5d0\uc11c \ucd9c\ubc1c\ud558\uc5ec \uba87\uba87 \uccb4\ud06c\ud3ec\uc778\ud2b8\ub97c \ubc29\ubb38\ud588\ub2e4\uac00 \ub2e4\uc2dc \uc6d0\uc810\uc73c\ub85c \ub3cc\uc544\uc640\uc57c \ud55c\ub2e4. \uc544\ubb34\uac83\ub3c4 \ubc29\ubb38\ud558\uc9c0 \uc54a\uc744 \uc218\ub3c4 \uc788\ub2e4. \uacbd\uc8fc\uac00 \uc774\ub8e8\uc5b4\uc9c0\ub294 \uacf5\uac04\uc740 \uc644\uc804\ud788 \ud3c9\ud3c9\ud55c 2\ucc28\uc6d0 \uacf5\uac04\uc774\ub77c\uace0 \uac00\uc815\ud55c\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4 \uccab\uc9f8 \uc904\uc5d0 &lsquo;Race r&rsquo;\uc744 \ucd9c\ub825\ud55c\ub2e4. r\uc5d0\ub294 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \ubc88\ud638\uac00 \ub4e4\uc5b4\uac04\ub2e4. \uc774\uc5b4\uc11c \uac01 \uc904\ub9c8\ub2e4 \uc120\uc218 \uc815\ubcf4\ub97c \uc785\ub825\ubc1b\uc740 \uc21c\uc11c\ub300\ub85c \uc120\uc218\uc758 \uc774\ub984\uacfc \uc5bb\uc744 \uc218 \uc788\ub294 \ucd5c\ub300 \uc810\uc218\ub97c \ucd9c\ub825 \uc591\uc2dd &lsquo;\uc774\ub984: \uc810\uc218&rsquo;\uc5d0 \ub9de\uac8c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"1993","problem_lang":"1","title":"Half-Score Orienteering ","description":"<p>Orienteering involves running through unfamiliar territory, using map and compass to navigate to various &lsquo;control points&rsquo; marked on the map. In the most common form of the sport, the order in which the control sites must be visited is set in advance by the race organisers, and the winner of a race is the runner who visits all the controls in the prescribed order and arrives at the finish line in the shortest amount of time. Thus the goal is to visit all controls (in order) as fast as possible.<\/p>\r\n\r\n<p>Another discipline is Score Orienteering, in which the goal is the converse: to maximise your score by visiting as many controls as possible in a set amount of time. Here the organisers choose a time limit and assign a points value to each control, generally correlated to its difficulty and distance from the start. A runner&rsquo;s score is the sum of the scores of all the controls visited, less a penalty for arriving at the finish line in excess of the prescribed time limit. (Note that while visiting or passing through a control site more than once is allowed, its score only counts towards the runner&rsquo;s score once, so there&rsquo;s no advantage in revisiting controls.)<\/p>\r\n\r\n<p>Thus runners begin this kind of race by estimating how far they can run in the time available and choosing a subset of (ideally high-scoring) controls that can be arranged into a route with a total length very close to, but not exceeding, their distance estimate.<\/p>\r\n\r\n<p>Finally, an obscure variant of the score discipline is Half-Score Orienteering, in which the organisers define the order in which the control sites must be visited, but the runners choose a subset of the controls&mdash;aiming for a high-scoring subsequence that forms a route following the general outline of the organisers&rsquo; course (and ordering) but skipping undesired controls, with a total length close to but not exceeding their distance estimate.<\/p>\r\n\r\n<p>After a race, they are always curious as to whether they could have done better by aiming for a different subsequence of the available controls. Your task is to write a program to determine the maximum score available to each runner in each of a series of races.<\/p>\r\n","input":"<p>Input will consist of a number of race scenarios. Each scenario consists of:<\/p>\r\n\r\n<ul>\r\n\t<li>A line containing an integer, n, the number of controls in the race (1 &le; n &le; 30).<\/li>\r\n\t<li>n lines of control data, each containing three integers separated by spaces: &lsquo;x y s&rsquo;, where (x, y) are the coordinates in metres of the control site (&minus;5000 &le; x, y &le; 5000) and s is the control&rsquo;s score (10 &le; s &le; 200).<\/li>\r\n\t<li>One line for each runner in the race, terminated by a line containing only &lsquo;# 0&rsquo;. Each of these lines contains the runner&rsquo;s name and an integer d, separated by a space. The name is a single word of up to 60 characters, and d is the distance in metres that the runner can travel in the time available (0 &le; d &le; 10000).<\/li>\r\n<\/ul>\r\n\r\n<p>The last line of input will be a &lsquo;0&rsquo; on a line by itself. This line should not be processed.<\/p>\r\n\r\n<p>The start and finish points for each race are at the origin (0, 0). Assume that each map area is flat, and that the runners navigate perfectly along straight-line paths between control points (and to\/from the start and finish). Then viable routes for a runner start at the origin, pass through the coordinates of some subsequence of the available controls in the order in which they appear in the input, and return to the origin, all with a total length &le; d.<\/p>\r\n\r\n<p>(A route longer than d might score enough extra points to outweigh the lateness penalty, but the runners find late finishes so embarrassing that none of them will consider such routes to be viable.)<\/p>\r\n","output":"<p>Output for each scenario will start with a line &lsquo;Race r&rsquo; stating the race number, starting with 1. This will be followed by one line for each of the runners in the race, in the order in which they appear in the race scenario, containing the runner&rsquo;s name and the score of the highest scoring viable route available to that runner, formatted as &lsquo;name: score&rsquo;.<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]