시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
3 초 256 MB 114 23 11 17.188%

문제

마리오는 사악한 쿠파로부터 피치 공주를 구하기 위해 동분서주한다. 그러나 어떤 스테이지를 클리어하더라도, 어떤 작은 버섯 인간(키노피오)이 공주는 다른 성에 있다고 말할 뿐이었다. 마리오는 이 키노피오가 굉장히 사악한 존재이고, 단지 재미를 위해 마리오를 최대한 먼 성으로 보내려는 것이 틀림없다고 의심한다.

마리오의 세계는 N개의 노드를 가진 트리(N-1개의 간선이 존재하며, 연결 그래프이고, 각 노드는 1부터 N까지의 번호를 가짐)의 형태이다.(어째서?) 각 노드에는 성이 하나씩 존재하며, 각 간선은 하나의 스테이지를 의미한다. 마리오는 트리의 루트 노드에서 여행을 시작하여, 트리 위에서 이동하며(같은 정점이나 간선을 여러 번 지날 수 있다) 만나는 성마다 키노피오의 지시에 따라 피치 공주를 찾아 헤맨다. 스테이지 하나를 진행할 때는 일정한 시간이 소요된다(이 시간은 양쪽 방향에서 동일하다).

키노피오는 K개의 서로 다른 성을 택하며(루트 노드는 선택하지 않는다), 마리오는 이 성들을 반드시 주어진 순서에 따라 방문해야만 한다. 마리오는 반드시 여행을 루트 노드에서 시작하여, 루트 노드에서 끝내야 한다. 마리오는 항상 성으로 이동할 때마다 최단 경로를 통해서만 움직인다. 키노피오가 K개의 성을 뽑는 경우에 따라 마리오가 여행을 하는 데 걸리는 최장 시간은 얼마인가?

입력

첫 번째 줄에는 테스트 케이스의 개수 T가 주어진다. (1 ≤ T ≤ 100)

각 테스트 케이스의 첫 번째 줄에는 2개의 정수 N, K가 주어지며, (2 ≤ N ≤ 1,000) (1 ≤ K ≤ 100) (1 ≤ K ≤ N - 1) N은 성의 개수이고 K는 키노피오가 선택할 성의 개수이다.

다음 N-1개의 줄에 걸쳐서 2~N번 노드의 정보가 순서대로 주어진다. 각 줄마다 2개의 정수 Pi, Ci가 주어지며, (1 ≤ Pi ≤ N ) (0 ≤ Ci ≤ 100,000) 각각 해당 노드의 부모 노드 번호와, 부모와 자신 사이의 스테이지를 지나는 데 소요되는 시간을 의미한다.

항상 루트 노드는 1번 노드이다.

출력

각 테스트 케이스마다 한 줄에 걸쳐 “Case n:”의 양식과 함께 답을 출력한다. n은 테스트 케이스의 번호를 의미하며, 1부터 시작한다.

예제 입력 1

3
3 1
1 5
1 3
4 2
1 5
1 3
3 2
5 3
1 5
1 3
3 2
3 10

예제 출력 1

Case 1: 10
Case 2: 20
Case 3: 46

힌트

세 번째 테스트 케이스의 경우, 키노피오가 5, 2, 4번 성을 순서대로 뽑으면 가능하다. 4, 2, 5번도 가능하다.

[{"problem_id":"11808","problem_lang":"0","title":"\ub9c8\ub9ac\uc624\uc640 \uc0ac\uc545\ud55c \ud0a4\ub178\ud53c\uc624","description":"<p>\ub9c8\ub9ac\uc624\ub294 \uc0ac\uc545\ud55c \ucfe0\ud30c\ub85c\ubd80\ud130 \ud53c\uce58 \uacf5\uc8fc\ub97c \uad6c\ud558\uae30 \uc704\ud574 \ub3d9\ubd84\uc11c\uc8fc\ud55c\ub2e4. \uadf8\ub7ec\ub098 \uc5b4\ub5a4 \uc2a4\ud14c\uc774\uc9c0\ub97c \ud074\ub9ac\uc5b4\ud558\ub354\ub77c\ub3c4, \uc5b4\ub5a4 \uc791\uc740 \ubc84\uc12f \uc778\uac04(\ud0a4\ub178\ud53c\uc624)\uc774 \uacf5\uc8fc\ub294 \ub2e4\ub978 \uc131\uc5d0 \uc788\ub2e4\uace0 \ub9d0\ud560 \ubfd0\uc774\uc5c8\ub2e4. \ub9c8\ub9ac\uc624\ub294 \uc774 \ud0a4\ub178\ud53c\uc624\uac00 \uad49\uc7a5\ud788 \uc0ac\uc545\ud55c \uc874\uc7ac\uc774\uace0, \ub2e8\uc9c0 \uc7ac\ubbf8\ub97c \uc704\ud574 \ub9c8\ub9ac\uc624\ub97c \ucd5c\ub300\ud55c \uba3c \uc131\uc73c\ub85c \ubcf4\ub0b4\ub824\ub294 \uac83\uc774 \ud2c0\ub9bc\uc5c6\ub2e4\uace0 \uc758\uc2ec\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub9c8\ub9ac\uc624\uc758 \uc138\uacc4\ub294 N\uac1c\uc758 \ub178\ub4dc\ub97c \uac00\uc9c4 \ud2b8\ub9ac(N-1\uac1c\uc758 \uac04\uc120\uc774 \uc874\uc7ac\ud558\uba70, \uc5f0\uacb0 \uadf8\ub798\ud504\uc774\uace0, \uac01 \ub178\ub4dc\ub294 1\ubd80\ud130 N\uae4c\uc9c0\uc758 \ubc88\ud638\ub97c \uac00\uc9d0)\uc758 \ud615\ud0dc\uc774\ub2e4.(\uc5b4\uc9f8\uc11c?)&nbsp;\uac01 \ub178\ub4dc\uc5d0\ub294 \uc131\uc774 \ud558\ub098\uc529 \uc874\uc7ac\ud558\uba70, \uac01 \uac04\uc120\uc740 \ud558\ub098\uc758 \uc2a4\ud14c\uc774\uc9c0\ub97c \uc758\ubbf8\ud55c\ub2e4. \ub9c8\ub9ac\uc624\ub294 \ud2b8\ub9ac\uc758 \ub8e8\ud2b8 \ub178\ub4dc\uc5d0\uc11c \uc5ec\ud589\uc744 \uc2dc\uc791\ud558\uc5ec, \ud2b8\ub9ac \uc704\uc5d0\uc11c \uc774\ub3d9\ud558\uba70(\uac19\uc740 \uc815\uc810\uc774\ub098 \uac04\uc120\uc744 \uc5ec\ub7ec \ubc88 \uc9c0\ub0a0 \uc218 \uc788\ub2e4) \ub9cc\ub098\ub294 \uc131\ub9c8\ub2e4&nbsp;\ud0a4\ub178\ud53c\uc624\uc758 \uc9c0\uc2dc\uc5d0 \ub530\ub77c&nbsp;\ud53c\uce58 \uacf5\uc8fc\ub97c \ucc3e\uc544 \ud5e4\ub9e8\ub2e4. \uc2a4\ud14c\uc774\uc9c0 \ud558\ub098\ub97c \uc9c4\ud589\ud560 \ub54c\ub294 \uc77c\uc815\ud55c \uc2dc\uac04\uc774 \uc18c\uc694\ub41c\ub2e4(\uc774 \uc2dc\uac04\uc740 \uc591\ucabd \ubc29\ud5a5\uc5d0\uc11c \ub3d9\uc77c\ud558\ub2e4).<\/p>\r\n\r\n<p>\ud0a4\ub178\ud53c\uc624\ub294 K\uac1c\uc758 \uc11c\ub85c \ub2e4\ub978 \uc131\uc744 \ud0dd\ud558\uba70(\ub8e8\ud2b8&nbsp;\ub178\ub4dc\ub294 \uc120\ud0dd\ud558\uc9c0 \uc54a\ub294\ub2e4), \ub9c8\ub9ac\uc624\ub294 \uc774 \uc131\ub4e4\uc744 \ubc18\ub4dc\uc2dc&nbsp;\uc8fc\uc5b4\uc9c4 \uc21c\uc11c\uc5d0 \ub530\ub77c \ubc29\ubb38\ud574\uc57c\ub9cc&nbsp;\ud55c\ub2e4. \ub9c8\ub9ac\uc624\ub294 \ubc18\ub4dc\uc2dc \uc5ec\ud589\uc744 \ub8e8\ud2b8 \ub178\ub4dc\uc5d0\uc11c \uc2dc\uc791\ud558\uc5ec, \ub8e8\ud2b8 \ub178\ub4dc\uc5d0\uc11c \ub05d\ub0b4\uc57c \ud55c\ub2e4. \ub9c8\ub9ac\uc624\ub294 \ud56d\uc0c1 \uc131\uc73c\ub85c \uc774\ub3d9\ud560 \ub54c\ub9c8\ub2e4 \ucd5c\ub2e8 \uacbd\ub85c\ub97c \ud1b5\ud574\uc11c\ub9cc \uc6c0\uc9c1\uc778\ub2e4. \ud0a4\ub178\ud53c\uc624\uac00 K\uac1c\uc758 \uc131\uc744 \ubf51\ub294 \uacbd\uc6b0\uc5d0 \ub530\ub77c \ub9c8\ub9ac\uc624\uac00 \uc5ec\ud589\uc744 \ud558\ub294 \ub370 \uac78\ub9ac\ub294 \ucd5c\uc7a5 \uc2dc\uac04\uc740 \uc5bc\ub9c8\uc778\uac00?<\/p>\r\n","input":"<p>\uccab \ubc88\uc9f8 \uc904\uc5d0\ub294 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uac1c\uc218 T\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.&nbsp;(1 &le; T &le; 100)<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab \ubc88\uc9f8 \uc904\uc5d0\ub294 2\uac1c\uc758 \uc815\uc218 N,&nbsp;K\uac00 \uc8fc\uc5b4\uc9c0\uba70,&nbsp;(2 &le; N &le; 1,000) (1 &le; K &le; 100) (1 &le; K &le; N - 1)&nbsp;N\uc740 \uc131\uc758 \uac1c\uc218\uc774\uace0 K\ub294 \ud0a4\ub178\ud53c\uc624\uac00 \uc120\ud0dd\ud560 \uc131\uc758 \uac1c\uc218\uc774\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c N-1\uac1c\uc758 \uc904\uc5d0 \uac78\uccd0\uc11c 2~N\ubc88 \ub178\ub4dc\uc758 \uc815\ubcf4\uac00 \uc21c\uc11c\ub300\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \uc904\ub9c8\ub2e4 2\uac1c\uc758 \uc815\uc218&nbsp;P<sub>i,<\/sub>&nbsp;C<sub>i<\/sub>\uac00 \uc8fc\uc5b4\uc9c0\uba70,&nbsp;(1 &le; P<sub>i<\/sub>&nbsp;&le; N ) (0 &le; C<sub>i<\/sub>&nbsp;&le; 100,000) \uac01\uac01 \ud574\ub2f9 \ub178\ub4dc\uc758 \ubd80\ubaa8 \ub178\ub4dc \ubc88\ud638\uc640, \ubd80\ubaa8\uc640 \uc790\uc2e0 \uc0ac\uc774\uc758 \uc2a4\ud14c\uc774\uc9c0\ub97c \uc9c0\ub098\ub294 \ub370 \uc18c\uc694\ub418\ub294 \uc2dc\uac04\uc744 \uc758\ubbf8\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ud56d\uc0c1 \ub8e8\ud2b8 \ub178\ub4dc\ub294 1\ubc88 \ub178\ub4dc\uc774\ub2e4.<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\ub9c8\ub2e4 \ud55c \uc904\uc5d0 \uac78\uccd0 &ldquo;Case n:&rdquo;\uc758 \uc591\uc2dd\uacfc&nbsp;\ud568\uaed8&nbsp;\ub2f5\uc744 \ucd9c\ub825\ud55c\ub2e4. n\uc740 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \ubc88\ud638\ub97c \uc758\ubbf8\ud558\uba70, 1\ubd80\ud130 \uc2dc\uc791\ud55c\ub2e4.<\/p>\r\n","hint":"<p>\uc138 \ubc88\uc9f8 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uacbd\uc6b0, \ud0a4\ub178\ud53c\uc624\uac00 5, 2, 4\ubc88 \uc131\uc744 \uc21c\uc11c\ub300\ub85c \ubf51\uc73c\uba74&nbsp;\uac00\ub2a5\ud558\ub2e4. 4, 2, 5\ubc88\ub3c4 \uac00\ub2a5\ud558\ub2e4.<\/p>\r\n","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"11808","problem_lang":"1","title":"Mario and Evil Toad","description":"<p>Mario is trying to save Princess Peach from the evil Bowser. But at the end of every level, a small mushroom guy called Toad tells him that she is at a different castle. Mario suspects that Toad is actually evil, and keeps sending Mario to the furthest castle possible just for fun.<\/p>\r\n\r\n<p>Mario&rsquo;s world can be modeled as a tree with N nodes (a tree of N nodes is a connected graph with N -1 edges, nodes are numbered from 1 to N ), where each node represents a castle, and each edge represents a level. Mario starts his journey at the root of the tree, and travels around the tree (possibly passing the same nodes and edges several times) looking for the Princess in castles, according to the directions of Toad. It takes Mario a certain amount of time to cross a level (and it is the same in both direction).<\/p>\r\n\r\n<p>Toad picks K distinct castles (the root isn&rsquo;t one of them), and Mario must visit them in the exact given order (Mario must start and end his tour at the root). Mario always takes the shortest path when going from one node to another. What is the maximum possible duration of Mario&rsquo;s journey if Toad had picked the worst possible K castles?<\/p>\r\n","input":"<p>Your program will be tested on one or more test cases. The first line of the input will be a single integer T (1 &le; T &le; 100) representing the number of test cases. Followed by T test cases. Each test case starts with a line containing 2 integers N and K (2 &le; N &le; 1,000) (1 &le; K &le; 100) (1 &le; K &le; N - 1) representing the total number of castles in the tree and the number of castles Mario has to visit. Followed by N -1 lines, each line describes the nodes 2 to N . Each line will contain 2 integers P<sub>i<\/sub> and C<sub>i<\/sub> (1 &le; Pi &le; N ) (0 &le; C<sub>i<\/sub> &le; 100,000) representing the parent of the i-th node (i starts from 2 here) and the time it takes to pass the edge connecting the current node to its parent. Node 1 is the root of the tree.<\/p>\r\n","output":"<p>For each test case print a single line containing &ldquo;Case n:&rdquo; (without quotes) where n is the test case number (starting from 1) followed by a space, followed by the maximum duration for Mario&rsquo;s journey.<\/p>\r\n","hint":"<p>For the third test case, one of the possible lists that Toad could have given Mario is following: 5, 2, 4.<\/p>\r\n","original":"1","problem_lang_code":"\uc601\uc5b4"}]