시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 (하단 참고) 256 MB 10 4 3 33.333%

문제

곧 사내 모의 보안 해커톤 대회가 열릴 예정이며 참가하는 N명의 임직원들은 공격팀 (해킹 담당)과 방어팀 (보안 담당)으로 나뉘게 된다. 모든 임직원이 이전에 참여했던 사내 해킹 연습 대회를 통해 각 임직원의 공격력과 방어력은 수치화 되어 데이터베이스에 저장되어있다. 편의상 i번째 임직원의 공격력은 A[i] 방어력은 B[i]라 하자.

총 N명의 임직원을 공격팀과 방어팀으로 나누는 방법은 2N 가지 존재하지만, 이 중 가장 "적합한" 방법으로 팀을 나누려고 한다. 적합성은 수치화 될 수 있는데, 우선 공격팀에 배장된 모든 임직원들의 공격력 총합과 방어팀에 배정된 (나머지) 모든 임직원들의 방어력 총합을 더한 후, 후술될 "감점"을 적용하여 적합도를 점수화 한다. 팀 배정의 감점 요인은 다음과 같다.

현재 사내에는 M개의 태스크 포스가 있으며 각 태스트 포스에는 2명 이상 N명 이하의 임직원이 속해있다. 만약 같은 태스크 포스에 속한 두 임직원이 서로 다른 팀에 배정된다면, 해당 태스크 포스의 "감점도"에 따라 팀 배정의 적합도 점수가 감점된다. 이 감점은 태스크 포스에 속한 모든 임직원 쌍에 대해 각각 적용한다 (예제 참고).

예를 들어 N = 3 이고 각 임직원의 공격력 / 방어력이 아래와 같다고 해보자.

  • 임직원 1: 공격력 10 방어력 0
  • 임직원 2: 공격력 10 방어력 5
  • 임직원 3: 공격력 5 방어력 5

아울러 태스크 포스가 하나 있고 임직원 1, 임직원 2 두 사람이 속해있으며, 이 태스크 포스의 감점도는 100이라 하자. 만약 공격팀 = {임직원 1, 임직원 2} 그리고 방어팀 = {임직원 3} 으로 배정할 경우, 공격력 총 합은 10+10 = 20, 방어력 총합 = 5, 감점 = 0점이 되어 적합도는 총 25가 된다. 만약 공격팀 = {임직원 1} 그리고 방어팀 = {임직원 2, 임직원 3} 으로 배정할 경우, 공격력 총 합은 10, 방어력 총합 = 5+5 = 10, 감점 = 100점이 되어 적합도는 총 -80이 된다. 만약 공격팀 = {임직원 1, 임직원 2, 임직원 3} 그리고 방어팀 = {} 으로 배정할 경우, 공격력 총 합은 10+10+5 = 25, 방어력 총합 = 0, 감점 = 0점이 되어 적합도는 총 25가 된다. 이 예제의 경우 최대 팀 배정 적합도는 25이며, 상기한 두 가지 방법으로 배정할 수 있다. 예제에서 보여지듯 모든 임직원을 공격팀에 배정하거나 모든 임직원을 방어팀에 배정하는 것도 가능하다. N명의 임직원 이외에도 사내 보안팀이 적절히 공격팀과 방어팀에 나뉘어 배정될 예정이기 때문에 아무 문제 없다.

입력으로 임직원의 수 N, 태스크 포스의 수 M, 각 임직원의 공격력/방어력, 그리고 각 태스크 포스에 속한 임직원의 정보 및 태스크 포스별 감점이 주어졌을 때,  팀 배정 적합도를 최대로 만들 경우의 적합도를 구하고, 그러한 적합도를 가능케하는 공격팀 배정을 출력하는 프로그램을 작성하시오.

입력

첫 줄에 테스트 케이스의 수 T가 주어진다.

각 테스트 케이스의 첫 줄은 N과 M이 공백으로 구분되어 주어진다.

다음 N줄에 걸쳐 각 줄에 임직원의 공격력과 방어력이 공백으로 구분되어 주어진다.

다음 2M줄에 걸쳐 M개의 태스크 포스에 대한 정보가 (각각 두 줄에 걸쳐) 주어진다.

i번째 태스크 포스에 대한 입력은 두 줄에 나누어서 주어지며, 첫 줄은 태스크 포스에 속한 임직원의 수 (Ki)와 해당 태스크 포스에 속한 임의의 임직원 한 쌍이 다른 팀에 배정 되었을 경우 감점이 되는 정도가 (Si) 주어진다.

두 번째 줄에 태스크 포스에 속한 임직원 번호가 (즉, Ki 개의 정수) 공백으로 구분되어 주어진다. 이 때 주어지는 Ki 개의 정수는 모두 다르다 (즉 각각의 태스크 포스 i의 입력에 주어지는 임직원 번호가 중복인 경우는 없다).

출력

각 테스트 케이스에 대해 두 줄씩 출력한다.

첫 줄에 최대 달성 가능한 팀 배정 적합도를 출력한다.

다음 줄에 공격팀을 출력하는데, 첫 수는 공격팀을 구성하는 임직원의 수이며 같은 줄에 이어서 임직원 번호를 공백으로 구분하여 출력한다.

최대 적합도를 달성한 방법이 여럿인 경우 그 중 아무 방법이라 출력하여도 된다.

임직원 번호는 임의의 순서로 출력해도 무방하다.

제한

  • 1 ≤ T ≤ 10
  • 0 ≤ A[i], B[i] ≤ 1,000,000
  • 2 ≤ Ki ≤ N
  • 1 ≤ Si ≤ 1,000
  • 한 임직원이 여러 태스크 포스에 속할 수 있다.

서브태스크 1 (4점)

  • 2 ≤ N ≤ 16
  • 1 ≤ M ≤ 100

서브태스크 2 (18점)

  • 2 ≤ N ≤ 120
  • 1 ≤ M ≤ 100

예제 입력 1

4
3 1
10 0
10 0
5 5
2 100
1 2
4 2
10 0
20 10
5 10
1 5
2 2
1 2
3 1
2 3 4
4 2
100 0
200 10
50 10
10 5
2 2
1 2
3 1
2 3 4
4 1
100 0
4 8
2 15
3 51
4 3
1 2 3 4

예제 출력 1

25
2 1 2
43
2 1 2
360
4 1 2 3 4
165
1 1

테스트 케이스 1: 문제에서 다룬 예시이다. 상기된대로 "3 1 2 3"도 팀 배정도 25를 만족하기 때문에 이 역시 정답으로 간주한다.

테스트 케이스 2

공격팀 = {임직원 1, 임직원 2} / 방어팀 = {임직원 3, 임직원 4}로 배정할 경우 공격력과 방어력 총 합은 (10+20) + (10 + 5) = 45가 된다.

태스크 포스 1의 경우 감점도는 2점이며 임직원 1과 임직원 2가 속해있다. 이 둘은 공격팀에 함께 배정 되었으므로 감점은 없다.

태스크 포스 2의 경우 감점도는 1이며 임직원 2, 임직원 3, 임직원 4 세 사람이 속해있다. 임직원 2와 임직원 3이 다른 팀에 배정되었고 임직원 2와 임직원 4가 다른 팀에 배정되었으므로 각 1점씩 감점하여 팀배정의 총 적합도는 45 - 2 = 43이 된다. (임직원 3과 임직원 4는 같은 팀에 배정 되었으므로 감점하지 않는다.)

테스트 케이스 3

이 경우 모든 임직원을 공격팀에 배정하여 최대 적합도인 360을 달성할 수 있다. 

테스트 케이스 4

공격팀 = {임직원 1} / 방어팀 = {임직원 2, 임직원 3, 임직원 4}로 배정할 경우 공격력과 방어력 총합은 100 + (8+15+51) = 174가 된다.

태스크 포스에는 모든 임직원이 속해있으며 감점도는 3점이다. 임직원 1만 다른 팀에 배정 되었으므로 총 세 쌍에 대하여 (임직원 1 - 임직원 2, 임직원 1 - 임직원 3, 임직원 1 - 임직원 4) 감점을 적용하여 174 - 3*3 = 165점이 최종 적합도가 되며, 이 경우가 최적이다.

[{"problem_id":"19243","problem_lang":"0","title":"\ud300 \uac00\ub974\uae30","description":"<p>\uace7&nbsp;\uc0ac\ub0b4 \ubaa8\uc758&nbsp;\ubcf4\uc548 \ud574\ucee4\ud1a4 \ub300\ud68c\uac00 \uc5f4\ub9b4 \uc608\uc815\uc774\uba70 \ucc38\uac00\ud558\ub294 N\uba85\uc758 \uc784\uc9c1\uc6d0\ub4e4\uc740 \uacf5\uaca9\ud300 (\ud574\ud0b9 \ub2f4\ub2f9)\uacfc \ubc29\uc5b4\ud300 (\ubcf4\uc548 \ub2f4\ub2f9)\uc73c\ub85c \ub098\ub258\uac8c \ub41c\ub2e4. \ubaa8\ub4e0 \uc784\uc9c1\uc6d0\uc774 \uc774\uc804\uc5d0 \ucc38\uc5ec\ud588\ub358&nbsp;\uc0ac\ub0b4 \ud574\ud0b9 \uc5f0\uc2b5 \ub300\ud68c\ub97c \ud1b5\ud574 \uac01 \uc784\uc9c1\uc6d0\uc758 \uacf5\uaca9\ub825\uacfc \ubc29\uc5b4\ub825\uc740 \uc218\uce58\ud654 \ub418\uc5b4 \ub370\uc774\ud130\ubca0\uc774\uc2a4\uc5d0 \uc800\uc7a5\ub418\uc5b4\uc788\ub2e4. \ud3b8\uc758\uc0c1 i\ubc88\uc9f8 \uc784\uc9c1\uc6d0\uc758 \uacf5\uaca9\ub825\uc740 A[i] \ubc29\uc5b4\ub825\uc740 B[i]\ub77c \ud558\uc790.<\/p>\r\n\r\n<p>\ucd1d N\uba85\uc758 \uc784\uc9c1\uc6d0\uc744 \uacf5\uaca9\ud300\uacfc \ubc29\uc5b4\ud300\uc73c\ub85c \ub098\ub204\ub294 \ubc29\ubc95\uc740 2<sup>N<\/sup> \uac00\uc9c0 \uc874\uc7ac\ud558\uc9c0\ub9cc, \uc774 \uc911 \uac00\uc7a5 &quot;\uc801\ud569\ud55c&quot; \ubc29\ubc95\uc73c\ub85c \ud300\uc744 \ub098\ub204\ub824\uace0 \ud55c\ub2e4. \uc801\ud569\uc131\uc740 \uc218\uce58\ud654 \ub420 \uc218 \uc788\ub294\ub370, \uc6b0\uc120 \uacf5\uaca9\ud300\uc5d0 \ubc30\uc7a5\ub41c \ubaa8\ub4e0 \uc784\uc9c1\uc6d0\ub4e4\uc758 \uacf5\uaca9\ub825 \ucd1d\ud569\uacfc \ubc29\uc5b4\ud300\uc5d0 \ubc30\uc815\ub41c (\ub098\uba38\uc9c0) \ubaa8\ub4e0 \uc784\uc9c1\uc6d0\ub4e4\uc758 \ubc29\uc5b4\ub825 \ucd1d\ud569\uc744 \ub354\ud55c \ud6c4, \ud6c4\uc220\ub420 &quot;\uac10\uc810&quot;\uc744 \uc801\uc6a9\ud558\uc5ec \uc801\ud569\ub3c4\ub97c \uc810\uc218\ud654 \ud55c\ub2e4. \ud300 \ubc30\uc815\uc758 \uac10\uc810 \uc694\uc778\uc740 \ub2e4\uc74c\uacfc \uac19\ub2e4.<\/p>\r\n\r\n<p>\ud604\uc7ac \uc0ac\ub0b4\uc5d0\ub294 M\uac1c\uc758 \ud0dc\uc2a4\ud06c \ud3ec\uc2a4\uac00 \uc788\uc73c\uba70 \uac01 \ud0dc\uc2a4\ud2b8 \ud3ec\uc2a4\uc5d0\ub294 2\uba85 \uc774\uc0c1 N\uba85 \uc774\ud558\uc758 \uc784\uc9c1\uc6d0\uc774 \uc18d\ud574\uc788\ub2e4. \ub9cc\uc57d \uac19\uc740 \ud0dc\uc2a4\ud06c \ud3ec\uc2a4\uc5d0 \uc18d\ud55c \ub450 \uc784\uc9c1\uc6d0\uc774 \uc11c\ub85c \ub2e4\ub978 \ud300\uc5d0 \ubc30\uc815\ub41c\ub2e4\uba74, \ud574\ub2f9 \ud0dc\uc2a4\ud06c \ud3ec\uc2a4\uc758 &quot;\uac10\uc810\ub3c4&quot;\uc5d0 \ub530\ub77c \ud300 \ubc30\uc815\uc758 \uc801\ud569\ub3c4 \uc810\uc218\uac00 \uac10\uc810\ub41c\ub2e4. \uc774 \uac10\uc810\uc740 \ud0dc\uc2a4\ud06c \ud3ec\uc2a4\uc5d0 \uc18d\ud55c \ubaa8\ub4e0 \uc784\uc9c1\uc6d0 \uc30d\uc5d0 \ub300\ud574 \uac01\uac01 \uc801\uc6a9\ud55c\ub2e4 (\uc608\uc81c \ucc38\uace0).<\/p>\r\n\r\n<p>\uc608\ub97c \ub4e4\uc5b4 N = 3 \uc774\uace0 \uac01 \uc784\uc9c1\uc6d0\uc758 \uacf5\uaca9\ub825 \/ \ubc29\uc5b4\ub825\uc774 \uc544\ub798\uc640 \uac19\ub2e4\uace0 \ud574\ubcf4\uc790.<\/p>\r\n\r\n<ul>\r\n\t<li>\uc784\uc9c1\uc6d0 1: \uacf5\uaca9\ub825 10 \ubc29\uc5b4\ub825 0<\/li>\r\n\t<li>\uc784\uc9c1\uc6d0 2: \uacf5\uaca9\ub825 10 \ubc29\uc5b4\ub825 5<\/li>\r\n\t<li>\uc784\uc9c1\uc6d0 3: \uacf5\uaca9\ub825 5 \ubc29\uc5b4\ub825 5<\/li>\r\n<\/ul>\r\n\r\n<p>\uc544\uc6b8\ub7ec \ud0dc\uc2a4\ud06c \ud3ec\uc2a4\uac00 \ud558\ub098 \uc788\uace0 \uc784\uc9c1\uc6d0 1, \uc784\uc9c1\uc6d0 2 \ub450 \uc0ac\ub78c\uc774 \uc18d\ud574\uc788\uc73c\uba70, \uc774 \ud0dc\uc2a4\ud06c \ud3ec\uc2a4\uc758 \uac10\uc810\ub3c4\ub294 100\uc774\ub77c \ud558\uc790. \ub9cc\uc57d \uacf5\uaca9\ud300 = {\uc784\uc9c1\uc6d0 1, \uc784\uc9c1\uc6d0 2} \uadf8\ub9ac\uace0 \ubc29\uc5b4\ud300 = {\uc784\uc9c1\uc6d0 3} \uc73c\ub85c \ubc30\uc815\ud560 \uacbd\uc6b0, \uacf5\uaca9\ub825 \ucd1d \ud569\uc740 10+10 = 20, \ubc29\uc5b4\ub825 \ucd1d\ud569 = 5, \uac10\uc810 = 0\uc810\uc774 \ub418\uc5b4 \uc801\ud569\ub3c4\ub294 \ucd1d 25\uac00 \ub41c\ub2e4. \ub9cc\uc57d \uacf5\uaca9\ud300 = {\uc784\uc9c1\uc6d0 1} \uadf8\ub9ac\uace0 \ubc29\uc5b4\ud300 = {\uc784\uc9c1\uc6d0 2, \uc784\uc9c1\uc6d0 3} \uc73c\ub85c \ubc30\uc815\ud560 \uacbd\uc6b0, \uacf5\uaca9\ub825 \ucd1d \ud569\uc740 10, \ubc29\uc5b4\ub825 \ucd1d\ud569 = 5+5 = 10, \uac10\uc810 = 100\uc810\uc774 \ub418\uc5b4 \uc801\ud569\ub3c4\ub294 \ucd1d -80\uc774 \ub41c\ub2e4. \ub9cc\uc57d \uacf5\uaca9\ud300 = {\uc784\uc9c1\uc6d0 1, \uc784\uc9c1\uc6d0 2, \uc784\uc9c1\uc6d0 3} \uadf8\ub9ac\uace0 \ubc29\uc5b4\ud300 = {} \uc73c\ub85c \ubc30\uc815\ud560 \uacbd\uc6b0, \uacf5\uaca9\ub825 \ucd1d \ud569\uc740 10+10+5 = 25, \ubc29\uc5b4\ub825 \ucd1d\ud569 = 0, \uac10\uc810 = 0\uc810\uc774 \ub418\uc5b4 \uc801\ud569\ub3c4\ub294 \ucd1d 25\uac00 \ub41c\ub2e4. \uc774 \uc608\uc81c\uc758 \uacbd\uc6b0 \ucd5c\ub300 \ud300 \ubc30\uc815 \uc801\ud569\ub3c4\ub294 25\uc774\uba70, \uc0c1\uae30\ud55c \ub450 \uac00\uc9c0 \ubc29\ubc95\uc73c\ub85c \ubc30\uc815\ud560 \uc218 \uc788\ub2e4. \uc608\uc81c\uc5d0\uc11c \ubcf4\uc5ec\uc9c0\ub4ef&nbsp;\ubaa8\ub4e0 \uc784\uc9c1\uc6d0\uc744 \uacf5\uaca9\ud300\uc5d0 \ubc30\uc815\ud558\uac70\ub098 \ubaa8\ub4e0 \uc784\uc9c1\uc6d0\uc744 \ubc29\uc5b4\ud300\uc5d0 \ubc30\uc815\ud558\ub294 \uac83\ub3c4 \uac00\ub2a5\ud558\ub2e4. N\uba85\uc758 \uc784\uc9c1\uc6d0 \uc774\uc678\uc5d0\ub3c4 \uc0ac\ub0b4 \ubcf4\uc548\ud300\uc774 \uc801\uc808\ud788 \uacf5\uaca9\ud300\uacfc \ubc29\uc5b4\ud300\uc5d0 \ub098\ub258\uc5b4 \ubc30\uc815\ub420 \uc608\uc815\uc774\uae30 \ub54c\ubb38\uc5d0 \uc544\ubb34 \ubb38\uc81c \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\uc785\ub825\uc73c\ub85c \uc784\uc9c1\uc6d0\uc758 \uc218 N, \ud0dc\uc2a4\ud06c \ud3ec\uc2a4\uc758 \uc218 M, \uac01 \uc784\uc9c1\uc6d0\uc758 \uacf5\uaca9\ub825\/\ubc29\uc5b4\ub825, \uadf8\ub9ac\uace0 \uac01 \ud0dc\uc2a4\ud06c \ud3ec\uc2a4\uc5d0 \uc18d\ud55c \uc784\uc9c1\uc6d0\uc758 \uc815\ubcf4 \ubc0f \ud0dc\uc2a4\ud06c \ud3ec\uc2a4\ubcc4 \uac10\uc810\uc774 \uc8fc\uc5b4\uc84c\uc744 \ub54c,&nbsp; \ud300 \ubc30\uc815 \uc801\ud569\ub3c4\ub97c \ucd5c\ub300\ub85c \ub9cc\ub4e4 \uacbd\uc6b0\uc758 \uc801\ud569\ub3c4\ub97c \uad6c\ud558\uace0, \uadf8\ub7ec\ud55c \uc801\ud569\ub3c4\ub97c \uac00\ub2a5\ucf00\ud558\ub294 \uacf5\uaca9\ud300 \ubc30\uc815\uc744 \ucd9c\ub825\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uccab \uc904\uc5d0 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uc218 T\uac00 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc758 \uccab \uc904\uc740 N\uacfc M\uc774 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c N\uc904\uc5d0 \uac78\uccd0 \uac01 \uc904\uc5d0 \uc784\uc9c1\uc6d0\uc758 \uacf5\uaca9\ub825\uacfc \ubc29\uc5b4\ub825\uc774 \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c 2M\uc904\uc5d0 \uac78\uccd0 M\uac1c\uc758&nbsp;\ud0dc\uc2a4\ud06c \ud3ec\uc2a4\uc5d0 \ub300\ud55c \uc815\ubcf4\uac00 (\uac01\uac01 \ub450 \uc904\uc5d0 \uac78\uccd0) \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>i\ubc88\uc9f8 \ud0dc\uc2a4\ud06c \ud3ec\uc2a4\uc5d0 \ub300\ud55c \uc785\ub825\uc740 \ub450 \uc904\uc5d0 \ub098\ub204\uc5b4\uc11c \uc8fc\uc5b4\uc9c0\uba70, \uccab \uc904\uc740 \ud0dc\uc2a4\ud06c \ud3ec\uc2a4\uc5d0 \uc18d\ud55c \uc784\uc9c1\uc6d0\uc758 \uc218 (K<sub>i<\/sub>)\uc640 \ud574\ub2f9 \ud0dc\uc2a4\ud06c \ud3ec\uc2a4\uc5d0 \uc18d\ud55c \uc784\uc758\uc758 \uc784\uc9c1\uc6d0 \ud55c \uc30d\uc774 \ub2e4\ub978 \ud300\uc5d0 \ubc30\uc815 \ub418\uc5c8\uc744 \uacbd\uc6b0 \uac10\uc810\uc774 \ub418\ub294 \uc815\ub3c4\uac00 (S<sub>i<\/sub>) \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\r\n\r\n<p>\ub450 \ubc88\uc9f8 \uc904\uc5d0 \ud0dc\uc2a4\ud06c \ud3ec\uc2a4\uc5d0 \uc18d\ud55c \uc784\uc9c1\uc6d0 \ubc88\ud638\uac00 (\uc989, K<sub>i<\/sub> \uac1c\uc758 \uc815\uc218) \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ub418\uc5b4 \uc8fc\uc5b4\uc9c4\ub2e4. \uc774 \ub54c \uc8fc\uc5b4\uc9c0\ub294 K<sub>i<\/sub> \uac1c\uc758 \uc815\uc218\ub294 \ubaa8\ub450 \ub2e4\ub974\ub2e4 (\uc989 \uac01\uac01\uc758 \ud0dc\uc2a4\ud06c \ud3ec\uc2a4 i\uc758 \uc785\ub825\uc5d0 \uc8fc\uc5b4\uc9c0\ub294 \uc784\uc9c1\uc6d0 \ubc88\ud638\uac00 \uc911\ubcf5\uc778 \uacbd\uc6b0\ub294 \uc5c6\ub2e4).<\/p>\r\n","output":"<p>\uac01 \ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4\uc5d0 \ub300\ud574 \ub450 \uc904\uc529 \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\uccab \uc904\uc5d0 \ucd5c\ub300 \ub2ec\uc131 \uac00\ub2a5\ud55c \ud300 \ubc30\uc815 \uc801\ud569\ub3c4\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ub2e4\uc74c \uc904\uc5d0 \uacf5\uaca9\ud300\uc744 \ucd9c\ub825\ud558\ub294\ub370, \uccab \uc218\ub294 \uacf5\uaca9\ud300\uc744 \uad6c\uc131\ud558\ub294 \uc784\uc9c1\uc6d0\uc758 \uc218\uc774\uba70 \uac19\uc740 \uc904\uc5d0 \uc774\uc5b4\uc11c \uc784\uc9c1\uc6d0 \ubc88\ud638\ub97c \uacf5\ubc31\uc73c\ub85c \uad6c\ubd84\ud558\uc5ec \ucd9c\ub825\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ucd5c\ub300 \uc801\ud569\ub3c4\ub97c \ub2ec\uc131\ud55c \ubc29\ubc95\uc774 \uc5ec\ub7ff\uc778 \uacbd\uc6b0 \uadf8 \uc911 \uc544\ubb34 \ubc29\ubc95\uc774\ub77c \ucd9c\ub825\ud558\uc5ec\ub3c4 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\uc784\uc9c1\uc6d0 \ubc88\ud638\ub294 \uc784\uc758\uc758 \uc21c\uc11c\ub85c \ucd9c\ub825\ud574\ub3c4 \ubb34\ubc29\ud558\ub2e4.<\/p>\r\n","hint":"","original":"1","html_title":"0","problem_lang_tcode":"Korean","limit":"<ul>\r\n\t<li>1 &le; T &le; 10<\/li>\r\n\t<li>0 &le; A[i], B[i] &le; 1,000,000<\/li>\r\n\t<li>2 &le; K<sub>i<\/sub> &le; N<\/li>\r\n\t<li>1 &le; S<sub>i<\/sub> &le; 1,000<\/li>\r\n\t<li>\ud55c \uc784\uc9c1\uc6d0\uc774 \uc5ec\ub7ec \ud0dc\uc2a4\ud06c \ud3ec\uc2a4\uc5d0 \uc18d\ud560 \uc218 \uc788\ub2e4.<\/li>\r\n<\/ul>\r\n","subtask1":"<ul>\r\n\t<li>2 &le; N &le; 16<\/li>\r\n\t<li>1 &le; M &le; 100<\/li>\r\n<\/ul>\r\n","subtask2":"<ul>\r\n\t<li>2 &le; N &le; 120<\/li>\r\n\t<li>1 &le; M &le; 100<\/li>\r\n<\/ul>\r\n","sample_explain_1":"<p>\ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4 1:&nbsp;\ubb38\uc81c\uc5d0\uc11c \ub2e4\ub8ec \uc608\uc2dc\uc774\ub2e4. \uc0c1\uae30\ub41c\ub300\ub85c &quot;3 1 2 3&quot;\ub3c4 \ud300 \ubc30\uc815\ub3c4 25\ub97c \ub9cc\uc871\ud558\uae30 \ub54c\ubb38\uc5d0 \uc774 \uc5ed\uc2dc \uc815\ub2f5\uc73c\ub85c \uac04\uc8fc\ud55c\ub2e4.<\/p>\r\n\r\n<p>\ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4 2<\/p>\r\n\r\n<p>\uacf5\uaca9\ud300 = {\uc784\uc9c1\uc6d0 1, \uc784\uc9c1\uc6d0 2} \/ \ubc29\uc5b4\ud300 = {\uc784\uc9c1\uc6d0 3, \uc784\uc9c1\uc6d0 4}\ub85c \ubc30\uc815\ud560 \uacbd\uc6b0 \uacf5\uaca9\ub825\uacfc \ubc29\uc5b4\ub825 \ucd1d \ud569\uc740 (10+20) + (10 + 5) = 45\uac00 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\ud0dc\uc2a4\ud06c \ud3ec\uc2a4 1\uc758 \uacbd\uc6b0 \uac10\uc810\ub3c4\ub294 2\uc810\uc774\uba70 \uc784\uc9c1\uc6d0 1\uacfc \uc784\uc9c1\uc6d0 2\uac00 \uc18d\ud574\uc788\ub2e4. \uc774 \ub458\uc740 \uacf5\uaca9\ud300\uc5d0 \ud568\uaed8 \ubc30\uc815 \ub418\uc5c8\uc73c\ubbc0\ub85c \uac10\uc810\uc740 \uc5c6\ub2e4.<\/p>\r\n\r\n<p>\ud0dc\uc2a4\ud06c \ud3ec\uc2a4 2\uc758 \uacbd\uc6b0 \uac10\uc810\ub3c4\ub294 1\uc774\uba70 \uc784\uc9c1\uc6d0 2, \uc784\uc9c1\uc6d0 3, \uc784\uc9c1\uc6d0 4 \uc138 \uc0ac\ub78c\uc774 \uc18d\ud574\uc788\ub2e4. \uc784\uc9c1\uc6d0 2\uc640 \uc784\uc9c1\uc6d0 3\uc774 \ub2e4\ub978 \ud300\uc5d0 \ubc30\uc815\ub418\uc5c8\uace0 \uc784\uc9c1\uc6d0 2\uc640 \uc784\uc9c1\uc6d0 4\uac00 \ub2e4\ub978 \ud300\uc5d0 \ubc30\uc815\ub418\uc5c8\uc73c\ubbc0\ub85c \uac01 1\uc810\uc529 \uac10\uc810\ud558\uc5ec \ud300\ubc30\uc815\uc758 \ucd1d \uc801\ud569\ub3c4\ub294 45 - 2 = 43\uc774 \ub41c\ub2e4. (\uc784\uc9c1\uc6d0 3\uacfc \uc784\uc9c1\uc6d0 4\ub294 \uac19\uc740 \ud300\uc5d0 \ubc30\uc815 \ub418\uc5c8\uc73c\ubbc0\ub85c \uac10\uc810\ud558\uc9c0 \uc54a\ub294\ub2e4.)<\/p>\r\n\r\n<p>\ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4 3<\/p>\r\n\r\n<p>\uc774 \uacbd\uc6b0 \ubaa8\ub4e0 \uc784\uc9c1\uc6d0\uc744 \uacf5\uaca9\ud300\uc5d0 \ubc30\uc815\ud558\uc5ec \ucd5c\ub300 \uc801\ud569\ub3c4\uc778 360\uc744 \ub2ec\uc131\ud560 \uc218 \uc788\ub2e4.&nbsp;<\/p>\r\n\r\n<p>\ud14c\uc2a4\ud2b8 \ucf00\uc774\uc2a4 4<\/p>\r\n\r\n<p>\uacf5\uaca9\ud300 = {\uc784\uc9c1\uc6d0 1} \/ \ubc29\uc5b4\ud300 = {\uc784\uc9c1\uc6d0 2, \uc784\uc9c1\uc6d0 3, \uc784\uc9c1\uc6d0 4}\ub85c \ubc30\uc815\ud560 \uacbd\uc6b0 \uacf5\uaca9\ub825\uacfc \ubc29\uc5b4\ub825 \ucd1d\ud569\uc740 100 + (8+15+51) = 174\uac00 \ub41c\ub2e4.<\/p>\r\n\r\n<p>\ud0dc\uc2a4\ud06c \ud3ec\uc2a4\uc5d0\ub294 \ubaa8\ub4e0 \uc784\uc9c1\uc6d0\uc774 \uc18d\ud574\uc788\uc73c\uba70 \uac10\uc810\ub3c4\ub294 3\uc810\uc774\ub2e4. \uc784\uc9c1\uc6d0 1\ub9cc \ub2e4\ub978 \ud300\uc5d0 \ubc30\uc815 \ub418\uc5c8\uc73c\ubbc0\ub85c \ucd1d \uc138 \uc30d\uc5d0 \ub300\ud558\uc5ec (\uc784\uc9c1\uc6d0 1 - \uc784\uc9c1\uc6d0 2, \uc784\uc9c1\uc6d0 1 - \uc784\uc9c1\uc6d0 3, \uc784\uc9c1\uc6d0 1 - \uc784\uc9c1\uc6d0 4) \uac10\uc810\uc744 \uc801\uc6a9\ud558\uc5ec 174 - 3*3 = 165\uc810\uc774 \ucd5c\uc885 \uc801\ud569\ub3c4\uac00 \ub418\uba70, \uc774 \uacbd\uc6b0\uac00 \ucd5c\uc801\uc774\ub2e4.<\/p>\r\n"},{"problem_id":"19243","problem_lang":"1","title":"Team Partition","description":"<p>Another Security Hackathon is happening soon!<\/p>\r\n\r\n<p>There are N employee participants, and each of them needs to be assigned to group A (for attacking a dummy system) or to group B (for defending the dummy system). Everyone&#39;s ability of attacking or defending is quantified based on their previous participation in a similar event. For convenience, let A[i] and B[i] be the i-th employee&#39;s attack score and defense score (the higher, the better).<\/p>\r\n\r\n<p>There are 2<sup>N<\/sup> ways to assign N employees to two teams, and we wish to maximize the &quot;fitness&quot; of such partition. The fitness can be quantified by adding the attack scores of everyone in group A, the defense scores of everyone in group B, and applying a &quot;penalty&quot; that&#39;s to be described below.<\/p>\r\n\r\n<p>There are M task forces in the company, and each task consists of 2 or more, but no more than N, employees.&nbsp; If two employees in the same task force are separated by the team assignment, then the &quot;fitness&quot; would be penalized by the (pre-defined) penalty of the said task force (each task force has an integer penalty value associated with it). Such penalty would be applicable to every pair of employees within the same task force (see the sample test cases).<\/p>\r\n\r\n<p>For instance, suppose N = 3 and the following describe attack scores and defense scores.<\/p>\r\n\r\n<ul>\r\n\t<li>Employee 1: A[1] = 10 and B[1] = 0<\/li>\r\n\t<li>Employee 2: A[2] = 10 and B[2] = 5<\/li>\r\n\t<li>Employee 3: A[3] = 5 and B[3] = 5<\/li>\r\n<\/ul>\r\n\r\n<p>In addition, suppose M = 1 and the only task force has Employee 1 and Employee 2 with a penalty of 100.<\/p>\r\n\r\n<p>If we assign Employees 1 &amp; 2 to group A and Employee 3 to group B, then the overall fitness would be 10+10 (from group A) + 5 (from group B) - 0 (penalty from task force(s)) = 25. If we assign Employee 1 to group A and Employees 2 &amp; 3 to group B, then the overall fitness would be 10 (from group A) + 5 + 5 (from group B) - 100 (penalty from task force(s)) = -80. Lastly, if we assign all three employees to group A and none to group B, then the overall fitness would be 10+10+5 + 0 - 0 = 25. In this example, the maximum fitness we can obtain is 25, using either of the two team assignments described above. Note that it is allowed to assign all employees to either of the two groups because the company&#39;s cyber security team members will be assigned to group A and group B, in addition to the N employees.<\/p>\r\n\r\n<p>Given N, M, attack scores, defense scores, and information on task forces, compute the maximum fitness that we can achieve and output a team partition that results in the maximum fitness.&nbsp;<\/p>\r\n","input":"<p>The first line will contain the number of test cases, T.<\/p>\r\n\r\n<p>For each test case, the first line will contain two integers, N and M, separated by a whitespace.<\/p>\r\n\r\n<p>Each of the next N lines will contain two integers, describing an employee&#39;s attack score and defense score, separated by a whitespace.<\/p>\r\n\r\n<p>The next 2M lines will describe M task forces (two lines for each task force).<\/p>\r\n\r\n<p>To describe the i-th task force: The first line (of the two lines) will contain K<sub>i<\/sub>, the number of employees in this task force, and a penalty, S<sub>i<\/sub>&nbsp;for this task force.<\/p>\r\n\r\n<p>The second line will contain K<sub>i<\/sub> integers describing employees in the task force. You can assume that these K<sub><sup>i<\/sup><\/sub> numbers will be distinct.<\/p>\r\n","output":"<p>For each test case, you must output two lines.<\/p>\r\n\r\n<p>The first line will contain one integer that is the maximum achievable fitness.<\/p>\r\n\r\n<p>The second line will describe group A such that the first integer will be the number of employees in group A, followed by that many integers describing employees in group A.<\/p>\r\n\r\n<p>If there are many ways to achieve the maximum fitness, you may output any one of them.&nbsp;<\/p>\r\n\r\n<p>The order of employees in your output can be arbitrary.<\/p>\r\n","hint":"","original":"0","html_title":"0","problem_lang_tcode":"English","limit":"<ul>\r\n\t<li>1 &le; T &le; 10<\/li>\r\n\t<li>0 &le; A[i], B[i] &le; 1,000,000<\/li>\r\n\t<li>2 &le; K<sub>i<\/sub> &le; N<\/li>\r\n\t<li>1 &le; S<sub>i<\/sub> &le; 1,000<\/li>\r\n\t<li>An employee may belong to multiple task forces.<\/li>\r\n<\/ul>\r\n","subtask1":"<ul>\r\n\t<li>2 &le; N &le; 16<\/li>\r\n\t<li>1 &le; M &le; 100<\/li>\r\n<\/ul>\r\n","subtask2":"<ul>\r\n\t<li>2 &le; N &le; 120<\/li>\r\n\t<li>1 &le; M &le; 100<\/li>\r\n<\/ul>\r\n","sample_explain_1":"<p>Caes 1:<\/p>\r\n\r\n<p>This is discussed in the problem statement.&nbsp;&quot;3 1 2 3&quot; is another correct answer as stated earlier.<\/p>\r\n\r\n<p>Case 2:<\/p>\r\n\r\n<p>Group A = {Employee1, Employee 2} and Group B = {Employee 3, Employee 4} would result in the sum of 45 from attack and defense scores.<\/p>\r\n\r\n<p>Task force 1 has penalty of 2, thanks to group A, no penalty would be applied.<\/p>\r\n\r\n<p>Task force 2 has three employees, and due to (Employee 2, Employee 3) pair and (Employee 2, Employee 4) pair, the penalty would be applied twice (it&#39;s applied once per such separated pair).<\/p>\r\n\r\n<p>Hence, the overall fitness is 45 - 2 = 43.<\/p>\r\n\r\n<p>Case 3:<\/p>\r\n\r\n<p>By assigning everyone to group A, we can achieve the fitness of 360.<\/p>\r\n\r\n<p>Case 4:<\/p>\r\n\r\n<p>Group A = {Employee 1} and Group B = {Employee 2, Employee 3, Employee 4}.<\/p>\r\n\r\n<p>The sum of attack scores and defense scores is&nbsp;100 + (8+15+51) = 174.<\/p>\r\n\r\n<p>The sole task force has everyone in it, and its penalty is 3.<\/p>\r\n\r\n<p>Since Employee 1 is separated from the other three, the penalty should be applied three times: The fitness is 174 - 3*3 = 165, which is maximum in this case.&nbsp;<\/p>\r\n\r\n<p>&nbsp;<\/p>\r\n"}]

시간 제한

  • Java 8: 3.5 초
  • Python 3: 3.5 초
  • PyPy3: 3.5 초
  • Java 8 (OpenJDK): 3.5 초
  • Java 11: 3.5 초
  • Python 2: 3.5 초
  • PyPy2: 3.5 초
  • Kotlin (JVM): 3.5 초
  • Java 15: 3.5 초

채점 및 기타 정보

  • 예제는 채점하지 않는다.