시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
2 초 (언어별 추가 시간 없음) 1024 MB 166 41 29 46.774%

문제

사진: 유클리드 좌표계에서 20개의 점으로 만든 Voronoi Diagram. 출처: Wikipedia

평면 위에 있는 크기 n의 점 집합을 생각하자. 이 점 집합의 Voronoi Diagram은, 평면 상의 점을 "어떤 점과 가장 가까운가?" 에 대한 기준으로 분할한 그림을 뜻한다. 예를 들어, 위 사진에서 평면 상의 모든 위치는, 그 위치와 가장 가까운 검은 점에 따라서 색이 칠해져 있다. Voronoi Diagram은 O(n log(n))에 계산하는 알고리즘이 알려져 있지만, 매우 어렵고 복잡한 알고리즘으로 악명이 높다. 

모 대회에서 Voronoi Diagram에 대한 문제를 풀지 못한 민규는, 그 충격으로 인해서 매일 매일을 술과 함께 보내고 있었다. 어느 날 오후, 민규는 여느 때와 같이 낮술을 하고 있다가, 매우 천재적인 Voronoi Diagram 알고리즘을 발견하였다! 민규는 이에 관한 논문을 쓰기 전에 2018 KAIST RUN Spring Contest 에 관련된 문제를 출제하여서 만점자의 출현을 막으려 한다. 

민규의 Voronoi Diagram 알고리즘은 왜 천재적일까? 보통 Voronoi Diagram은 평면에서만 적용되는데, 민규의 Voronoi Diagram은 더 일반화된 구조인 그래프에서 적용되기 때문이다. 정점이 N개이고, 양의 가중치가 있는 간선이 M개 있는 연결 그래프를 생각하자. 이 그래프에서 크기 K의 정점 집합이 주어졌을 때, 이 점 집합의 "Voronoi Diagram" 은 이 그래프의 모든 간선 상의 위치에 대해서, "정점 집합에 있는 어떤 점과 가장 가까운가" 에 대한 기준으로 분할한 그림을 뜻한다. 만약 같은 거리의 점이 여러 개 있으면, 이들 중 가장 정점의 번호가 작은 정점을 기준으로 한다. 

가중치 있는 그래프가 주어졌을 때, 당신은 각각의 점에 대해서, "Voronoi Diagram"에서 해당 점과 가장 가깝게 표현된 간선의 길이를 모두 더한 값을 출력해야 한다. 이 문제를 풀고, 민규보다 먼저 논문을 써서 민규의 코를 납작하게 해주자!

입력

첫 번째 줄에 정점의 개수 N, 간선의 개수 M이 공백으로 구분되어 주어진다. 

이후 M개의 줄의 i번째 줄엔 간선이 잇는 두 정점의 번호 si, ei와, 간선의 가중치 wi가 세 개의 정수로 공백으로 구분되어 주어진다. 

다음 줄에 정점 집합의 크기 K가 주어진다.

다음 줄에 K개의 서로 다른 정수 ai가 오름차순으로 공백으로 구분되어 주어진다. 정점 집합을 이루고 있는 정점들의 번호를 뜻한다. 

입력으로 주어진 그래프는 연결그래프 임이 보장된다. 즉, 임의의 정점에서 임의의 정점으로 가는 경로가 존재한다. 

출력

K개의 줄에 걸쳐서 하나의 실수를 출력한다. i번째 줄에는, ai 번 정점을 가장 가까운 정점으로 가지는 길이의 합을 출력하라. 

모든 출력은 소수점 둘째 자리에서 반올림하여서 출력하여야 한다. 실수 오차 관리에 초점을 맞춘 최근 ACM-ICPC World Finals의 경향에 맞춰서, 출력 시 일체의 오차도 허용되지 않는다.

제한

  • 1 ≤ NM ≤ 250,000
  • 1 ≤ si, ei ≤ N
  • 1 ≤ wi ≤ 109
  • 1 ≤ KN
  • 1 ≤ aiN
  • 주어진 그래프는 연결그래프 이다.

서브태스크 1 (27점)

이 서브태스크는 다음의 조건을 만족한다.:

  • N ≤ 500

서브태스크 2 (73점)

이 서브태스크는 추가 제한 조건이 없다.

예제 입력 1

3 3
1 2 5
2 3 5
3 1 5
2
1 2

예제 출력 1

7.5
7.5

예제 입력 2

5 4
1 2 10
2 4 20
3 4 30
4 5 50
2
1 3

예제 출력 2

80.0
30.0

예제 입력 3

11 10
1 2 1000000000
1 3 1000000000
1 4 1000000000
1 5 1000000000
1 6 1000000000
1 7 1000000000
1 8 1000000000
1 9 1000000000
1 10 1000000000
1 11 1000000000
1
1

예제 출력 3

10000000000.0

힌트

예제에 대한 그림은 다음과 같다.:

[{"problem_id":"15775","problem_lang":"0","title":"Voronoi Diagram","description":"<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3-ap-northeast-1.amazonaws.com\/problem\/15775\/voronoi.png\" style=\"width: 500px; height: 500px;\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">\uc0ac\uc9c4: \uc720\ud074\ub9ac\ub4dc \uc88c\ud45c\uacc4\uc5d0\uc11c 20\uac1c\uc758 \uc810\uc73c\ub85c \ub9cc\ub4e0 Voronoi Diagram. \ucd9c\ucc98: Wikipedia<\/p>\r\n\r\n<p>\ud3c9\uba74 \uc704\uc5d0 \uc788\ub294 \ud06c\uae30 <em>n<\/em>\uc758 \uc810 \uc9d1\ud569\uc744 \uc0dd\uac01\ud558\uc790. \uc774 \uc810 \uc9d1\ud569\uc758 <strong>Voronoi Diagram<\/strong>\uc740, \ud3c9\uba74 \uc0c1\uc758 \uc810\uc744 &quot;\uc5b4\ub5a4 \uc810\uacfc \uac00\uc7a5 \uac00\uae4c\uc6b4\uac00?&quot; \uc5d0 \ub300\ud55c \uae30\uc900\uc73c\ub85c \ubd84\ud560\ud55c \uadf8\ub9bc\uc744 \ub73b\ud55c\ub2e4. \uc608\ub97c \ub4e4\uc5b4, \uc704 \uc0ac\uc9c4\uc5d0\uc11c \ud3c9\uba74 \uc0c1\uc758 \ubaa8\ub4e0 \uc704\uce58\ub294, \uadf8 \uc704\uce58\uc640 \uac00\uc7a5 \uac00\uae4c\uc6b4 \uac80\uc740 \uc810\uc5d0 \ub530\ub77c\uc11c \uc0c9\uc774 \uce60\ud574\uc838 \uc788\ub2e4. Voronoi Diagram\uc740 O(<em>n<\/em>&nbsp;log(<em>n<\/em>))\uc5d0 \uacc4\uc0b0\ud558\ub294 \uc54c\uace0\ub9ac\uc998\uc774 \uc54c\ub824\uc838 \uc788\uc9c0\ub9cc, \ub9e4\uc6b0 \uc5b4\ub835\uace0 \ubcf5\uc7a1\ud55c \uc54c\uace0\ub9ac\uc998\uc73c\ub85c \uc545\uba85\uc774 \ub192\ub2e4.&nbsp;<\/p>\r\n\r\n<p>\ubaa8 \ub300\ud68c\uc5d0\uc11c Voronoi Diagram\uc5d0 \ub300\ud55c \ubb38\uc81c\ub97c \ud480\uc9c0 \ubabb\ud55c \ubbfc\uaddc\ub294, \uadf8 \ucda9\uaca9\uc73c\ub85c \uc778\ud574\uc11c \ub9e4\uc77c \ub9e4\uc77c\uc744 \uc220\uacfc \ud568\uaed8 \ubcf4\ub0b4\uace0 \uc788\uc5c8\ub2e4. \uc5b4\ub290 \ub0a0 \uc624\ud6c4, \ubbfc\uaddc\ub294 \uc5ec\ub290 \ub54c\uc640 \uac19\uc774 \ub0ae\uc220\uc744 \ud558\uace0 \uc788\ub2e4\uac00, \ub9e4\uc6b0 \ucc9c\uc7ac\uc801\uc778 Voronoi Diagram \uc54c\uace0\ub9ac\uc998\uc744 \ubc1c\uacac\ud558\uc600\ub2e4! \ubbfc\uaddc\ub294 \uc774\uc5d0 \uad00\ud55c \ub17c\ubb38\uc744 \uc4f0\uae30 \uc804\uc5d0 2018 KAIST RUN Spring Contest \uc5d0 \uad00\ub828\ub41c \ubb38\uc81c\ub97c \ucd9c\uc81c\ud558\uc5ec\uc11c \ub9cc\uc810\uc790\uc758 \ucd9c\ud604\uc744 \ub9c9\uc73c\ub824 \ud55c\ub2e4.&nbsp;<\/p>\r\n\r\n<p>\ubbfc\uaddc\uc758 Voronoi Diagram \uc54c\uace0\ub9ac\uc998\uc740 \uc65c \ucc9c\uc7ac\uc801\uc77c\uae4c? \ubcf4\ud1b5 Voronoi Diagram\uc740 \ud3c9\uba74\uc5d0\uc11c\ub9cc \uc801\uc6a9\ub418\ub294\ub370, \ubbfc\uaddc\uc758 Voronoi Diagram\uc740 \ub354 \uc77c\ubc18\ud654\ub41c \uad6c\uc870\uc778 \uadf8\ub798\ud504\uc5d0\uc11c \uc801\uc6a9\ub418\uae30 \ub54c\ubb38\uc774\ub2e4. \uc815\uc810\uc774 <em>N<\/em>\uac1c\uc774\uace0, \uc591\uc758 \uac00\uc911\uce58\uac00 \uc788\ub294 \uac04\uc120\uc774 <em>M<\/em>\uac1c \uc788\ub294 \uc5f0\uacb0 \uadf8\ub798\ud504\ub97c \uc0dd\uac01\ud558\uc790. \uc774 \uadf8\ub798\ud504\uc5d0\uc11c \ud06c\uae30 <em>K<\/em>\uc758 \uc815\uc810 \uc9d1\ud569\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \uc774 \uc810 \uc9d1\ud569\uc758 &quot;Voronoi Diagram&quot; \uc740 \uc774 \uadf8\ub798\ud504\uc758 \ubaa8\ub4e0 \uac04\uc120 \uc0c1\uc758 \uc704\uce58\uc5d0 \ub300\ud574\uc11c, &quot;\uc815\uc810 \uc9d1\ud569\uc5d0 \uc788\ub294 \uc5b4\ub5a4 \uc810\uacfc \uac00\uc7a5 \uac00\uae4c\uc6b4\uac00&quot; \uc5d0 \ub300\ud55c \uae30\uc900\uc73c\ub85c \ubd84\ud560\ud55c \uadf8\ub9bc\uc744 \ub73b\ud55c\ub2e4. \ub9cc\uc57d \uac19\uc740 \uac70\ub9ac\uc758 \uc810\uc774 \uc5ec\ub7ec \uac1c \uc788\uc73c\uba74, \uc774\ub4e4 \uc911 \uac00\uc7a5 \uc815\uc810\uc758 \ubc88\ud638\uac00 \uc791\uc740 \uc815\uc810\uc744 \uae30\uc900\uc73c\ub85c \ud55c\ub2e4.&nbsp;<\/p>\r\n\r\n<p>\uac00\uc911\uce58 \uc788\ub294 \uadf8\ub798\ud504\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ub2f9\uc2e0\uc740 \uac01\uac01\uc758 \uc810\uc5d0 \ub300\ud574\uc11c, &quot;Voronoi Diagram&quot;\uc5d0\uc11c \ud574\ub2f9 \uc810\uacfc \uac00\uc7a5 \uac00\uae5d\uac8c \ud45c\ud604\ub41c \uac04\uc120\uc758 \uae38\uc774\ub97c \ubaa8\ub450 \ub354\ud55c \uac12\uc744 \ucd9c\ub825\ud574\uc57c \ud55c\ub2e4. \uc774 \ubb38\uc81c\ub97c \ud480\uace0, \ubbfc\uaddc\ubcf4\ub2e4 \uba3c\uc800 \ub17c\ubb38\uc744 \uc368\uc11c \ubbfc\uaddc\uc758 \ucf54\ub97c \ub0a9\uc791\ud558\uac8c \ud574\uc8fc\uc790!<\/p>\r\n","input":"<p>\uccab \ubc88\uc9f8 \uc904\uc5d0 \uc815\uc810\uc758 \uac1c\uc218 <em>N<\/em>, \uac04\uc120\uc758 \uac1c\uc218 <em>M<\/em>\uc774 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4.&nbsp;<\/p>\r\n\r\n<p>\uc774\ud6c4 <em>M<\/em>\uac1c\uc758 \uc904\uc758 <em>i<\/em>\ubc88\uc9f8 \uc904\uc5d4 \uac04\uc120\uc774 \uc787\ub294 \ub450 \uc815\uc810\uc758 \ubc88\ud638 <em>s<sub>i<\/sub><\/em>, <em>e<sub>i<\/sub><\/em>\uc640, \uac04\uc120\uc758 \uac00\uc911\uce58 <em>w<sub>i<\/sub><\/em>\uac00 \uc138 \uac1c\uc758 \uc815\uc218\ub85c \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4.&nbsp;<\/p>\r\n\r\n<p>\ub2e4\uc74c \uc904\uc5d0 \uc815\uc810 \uc9d1\ud569\uc758 \ud06c\uae30 <em>K<\/em>\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c \uc904\uc5d0 <em>K<\/em>\uac1c\uc758 \uc11c\ub85c \ub2e4\ub978 \uc815\uc218 <em>a<sub>i<\/sub><\/em>\uac00 \uc624\ub984\ucc28\uc21c\uc73c\ub85c \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. \uc815\uc810 \uc9d1\ud569\uc744 \uc774\ub8e8\uace0 \uc788\ub294 \uc815\uc810\ub4e4\uc758 \ubc88\ud638\ub97c \ub73b\ud55c\ub2e4.&nbsp;<\/p>\r\n\r\n<p>\uc785\ub825\uc73c\ub85c \uc8fc\uc5b4\uc9c4 \uadf8\ub798\ud504\ub294 \uc5f0\uacb0\uadf8\ub798\ud504 \uc784\uc774 \ubcf4\uc7a5\ub41c\ub2e4. \uc989, \uc784\uc758\uc758 \uc815\uc810\uc5d0\uc11c \uc784\uc758\uc758 \uc815\uc810\uc73c\ub85c \uac00\ub294 \uacbd\ub85c\uac00 \uc874\uc7ac\ud55c\ub2e4.&nbsp;<\/p>\r\n","output":"<p><em>K<\/em>\uac1c\uc758 \uc904\uc5d0 \uac78\uccd0\uc11c \ud558\ub098\uc758 \uc2e4\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4. <em>i<\/em>\ubc88\uc9f8 \uc904\uc5d0\ub294, <em>a<sub>i<\/sub><\/em>&nbsp;\ubc88 \uc815\uc810\uc744 \uac00\uc7a5 \uac00\uae4c\uc6b4 \uc815\uc810\uc73c\ub85c \uac00\uc9c0\ub294 \uae38\uc774\uc758 \ud569\uc744 \ucd9c\ub825\ud558\ub77c.&nbsp;<\/p>\r\n\r\n<p>\ubaa8\ub4e0 \ucd9c\ub825\uc740 \uc18c\uc218\uc810 \ub458\uc9f8 \uc790\ub9ac\uc5d0\uc11c \ubc18\uc62c\ub9bc\ud558\uc5ec\uc11c \ucd9c\ub825\ud558\uc5ec\uc57c \ud55c\ub2e4. \uc2e4\uc218 \uc624\ucc28 \uad00\ub9ac\uc5d0 \ucd08\uc810\uc744 \ub9de\ucd98 \ucd5c\uadfc ACM-ICPC World Finals\uc758 \uacbd\ud5a5\uc5d0 \ub9de\ucdb0\uc11c, \ucd9c\ub825 \uc2dc <strong>\uc77c\uccb4\uc758 \uc624\ucc28\ub3c4 \ud5c8\uc6a9\ub418\uc9c0 \uc54a\ub294\ub2e4<\/strong>.<\/p>\r\n","hint":"<p>\uc608\uc81c\uc5d0 \ub300\ud55c \uadf8\ub9bc\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4.:<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3-ap-northeast-1.amazonaws.com\/problem\/15775\/img1.png\" style=\"width: 391px; height: 351px;\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3-ap-northeast-1.amazonaws.com\/problem\/15775\/img2.png\" style=\"width: 600px; height: 379px;\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3-ap-northeast-1.amazonaws.com\/problem\/15775\/img3.png\" style=\"width: 429px; height: 459px;\" \/><\/p>\r\n","original":"1","problem_lang_code":"\ud55c\uad6d\uc5b4","limit":"<ul>\r\n\t<li>1 &le; <em>N<\/em>,&nbsp;<em>M<\/em> &le; 250,000<\/li>\r\n\t<li>1 &le; <em>s<sub>i<\/sub><\/em>, <em>e<sub>i<\/sub><\/em> &le; N<\/li>\r\n\t<li>1 &le; <em>w<sub>i<\/sub><\/em> &le; 10<sup>9<\/sup><\/li>\r\n\t<li>1 &le; <em>K<\/em> &le; <em>N<\/em><\/li>\r\n\t<li>1 &le; <em>a<sub>i<\/sub><\/em> &le; <em>N<\/em><\/li>\r\n\t<li>\uc8fc\uc5b4\uc9c4 \uadf8\ub798\ud504\ub294 \uc5f0\uacb0\uadf8\ub798\ud504 \uc774\ub2e4.<\/li>\r\n<\/ul>\r\n","subtask1":"<p>\uc774 \uc11c\ube0c\ud0dc\uc2a4\ud06c\ub294 \ub2e4\uc74c\uc758 \uc870\uac74\uc744 \ub9cc\uc871\ud55c\ub2e4.:<\/p>\r\n\r\n<ul>\r\n\t<li><em>N<\/em> &le; 500<\/li>\r\n<\/ul>\r\n","subtask2":"<p>\uc774 \uc11c\ube0c\ud0dc\uc2a4\ud06c\ub294 \ucd94\uac00 \uc81c\ud55c \uc870\uac74\uc774 \uc5c6\ub2e4.<\/p>\r\n"},{"problem_id":"15775","problem_lang":"1","title":"Voronoi Diagram","description":"<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3-ap-northeast-1.amazonaws.com\/problem\/15775\/voronoi.png\" style=\"width: 500px; height: 500px;\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\">Figure: Voronoi Diagram made with 20 points, with respect to Euclidean metric. Source: <em>Wikipedia<\/em><\/p>\r\n\r\n<p>In the Cartesian coordinate, we define the <strong>Voronoi Diagram<\/strong>&nbsp;of nonempty point set of size <em>n<\/em>&nbsp;as a diagram that divides the plane by the criteria &quot;which point in a set is closest in this location?&quot;. For example, in the picture above, every location over the plane is colored by the closest black point with such location. There is an algorithm that computes Voronoi Diagram in O(<em>n<\/em> log(<em>n<\/em>)), but this is infamous to be very complicated and hard.&nbsp;<\/p>\r\n\r\n<p>After failing to solve a problem about Voronoi Diagram in an important competition, Minkyu was shocked, and he started living with alcohols everyday! One sunny afternoon, Minkyu was drinking beers just like the other day, and found an ingenious algorithm for solving Voronoi Diagrams! Before writing a paper about it, Minkyu wants to set a problem which requires this algorithm, to prevent any full scorers in 2018 KAIST RUN Spring Contest.&nbsp;<\/p>\r\n\r\n<p>Why is Minkyu&#39;s algorithm for Voronoi Diagram great? Traditional algorithm for Voronoi Diagrams works only in cartesian coordinate, but Minkyu&#39;s algorithm works on more generalized structure -- the &quot;graph&quot;. Consider a connected graph with <em>N<\/em>&nbsp;vertices and <em>M<\/em>&nbsp;edges with positive weight. When you are given a nonempty vertex subset of size <em>K<\/em>, the &quot;Voronoi Diagram&quot; of this point set divides all location in the edges by the criteria &quot;which vertex in a set is closest in this location?&quot; If there is more than one points with equal distance, the one with smallest vertex number is considered closer.<\/p>\r\n\r\n<p>You are given a weighted connnected graph and a nonempty vertex subset of size <em>K<\/em>. For each vertex, you should calculate the total length of edges that is &quot;closest&quot; to the given vertex. Solve this problem, and write the paper faster than Minkyu, to scatter his high hopes!<\/p>\r\n","input":"<p>In the first line, the number of vertices <em>N<\/em>, and the number of edges <em>M<\/em>&nbsp;are given as two space-separated integers.<\/p>\r\n\r\n<p>In the next <em>M<\/em>&nbsp;lines, two endpoint of the <em>i<\/em>-th edge <em>s<sub>i<\/sub><\/em>, <em>e<sub>i<\/sub><\/em>, and the weight of <em>i<\/em>-th edge <em>w<sub>i<\/sub><\/em>&nbsp;is given as three space-separated integers.<\/p>\r\n\r\n<p>In the next line, the size of vertex subset <em>K<\/em>&nbsp;is given.<\/p>\r\n\r\n<p>In the next line, <em>K<\/em>&nbsp;distinct integer <em>a<sub>i<\/sub><\/em>&nbsp;is given in increasing order. Each integer denotes the number of vertex in the subset.<\/p>\r\n\r\n<p>You can assume that the given graph is connected. In other words, there exists a path from any vertex to the any other vertex.<\/p>\r\n","output":"<p>In <em>K<\/em>&nbsp;lines, print one decimal number for each line. In <em>i<\/em>-th line, print the sum of length which considers vertex <em>a<sub>i<\/sub><\/em>&nbsp;as the closest.<\/p>\r\n\r\n<p>Every outputted numbers should be exactly rounded to the first digit after the decimal point (see the sample input\/output for clarification). In accordance to the recent ACM-ICPC World Finals trend (which requires high-precision floating point management), <strong>no precision error is allowed<\/strong>.<\/p>\r\n","hint":"<p>These are the pictures corresponding to each sample test.<\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3-ap-northeast-1.amazonaws.com\/problem\/15775\/img1.png\" style=\"width: 391px; height: 351px;\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3-ap-northeast-1.amazonaws.com\/problem\/15775\/img2.png\" style=\"width: 600px; height: 379px;\" \/><\/p>\r\n\r\n<p style=\"text-align: center;\"><img alt=\"\" src=\"https:\/\/onlinejudgeimages.s3-ap-northeast-1.amazonaws.com\/problem\/15775\/img3.png\" style=\"width: 429px; height: 459px;\" \/><\/p>\r\n","original":"0","problem_lang_code":"\uc601\uc5b4","limit":"<ul>\r\n\t<li>1 &le; <em>N<\/em>,&nbsp;<em>M<\/em> &le; 250,000<\/li>\r\n\t<li>1 &le; <em>s<sub>i<\/sub><\/em>, <em>e<sub>i<\/sub><\/em> &le; N<\/li>\r\n\t<li>1 &le; <em>w<sub>i<\/sub><\/em> &le; 10<sup>9<\/sup><\/li>\r\n\t<li>1 &le; <em>K<\/em> &le; <em>N<\/em><\/li>\r\n\t<li>1 &le; <em>a<sub>i<\/sub><\/em> &le; <em>N<\/em><\/li>\r\n\t<li>Given graph is connected.<\/li>\r\n<\/ul>\r\n","subtask1":"<p>This subtask has additional constraints.: &nbsp;<\/p>\r\n\r\n<ul>\r\n\t<li>N &le; 500<\/li>\r\n<\/ul>\r\n","subtask2":"<p>This subtask has no additional constraints.<\/p>\r\n"}]

출처

University > KAIST > 2018 KAIST RUN Spring Contest V번

채점

  • 예제는 채점하지 않는다.