시간 제한 메모리 제한 제출 정답 맞은 사람 정답 비율
1 초 128 MB 1553 625 500 42.553%

문제

당신은 유명 프로그래밍 대회인 KCPC(Korean Collegiate Programming Contest)에 참가하고 있다. 이 대회에서 총 k개의 문제를 풀게 되는데, 어떤 문제에 대한 풀이를 서버에 제출하면 그 문제에 대해 0점에서 100점 사이의 점수를 얻는다. 풀이를 제출한 팀의 ID, 문제 번호, 점수가 서버의 로그에 제출되는 시간 순서대로 저장된다. 한 문제에 대한 풀이를 여러 번 제출할 수 있는데, 그 중 최고 점수가 그 문제에 대한 최종 점수가 된다. (만약 어떤 문제에 대해 풀이를 한번도 제출하지 않았으면 그 문제에 대한 최종 점수는 0점이다.) 

당신 팀의 최종 점수는 각 문제에 대해 받은 점수의 총합이고, 당신의 순위는 (당신 팀보다 높은 점수를 받은 팀의 수)+1 이다. 

점수가 동일한 팀이 여럿 있을 수 있는데, 그 경우에는 다음 규칙에 의해서 순위가 정해진다. 

  1. 최종 점수가 같은 경우, 풀이를 제출한 횟수가 적은 팀의 순위가 높다. 
  2. 최종 점수도 같고 제출 횟수도 같은 경우, 마지막 제출 시간이 더 빠른 팀의 순위가 높다. 

동시에 제출되는 풀이는 없고, 모든 팀이 적어도 한 번은 풀이를 제출한다고 가정하라. 

서버의 로그가 주어졌을 때, 당신 팀의 순위를 계산하는 프로그램을 작성하시오.

입력

입력 데이터는 표준 입력을 사용한다. 입력은 T개의 테스트 데이터로 구성된다. 입력의 첫 번째 줄에는 테스트 데이터의 수를 나타내는 정수 T가 주어진다. 각 테스트 데이터의 첫 번째 줄에는 팀의 개수 n, 문제의 개수 k, 당신 팀의 ID t, 로그 엔트리의 개수 m을 나타내는 4 개의 정수가 주어진다. 여기서, 3 ≤ n, k ≤ 100, 1 ≤ t ≤ n, 3 ≤ m ≤ 10,000이다. 그 다음 m개의 줄에는 각 풀이에 대한 정보가 제출되는 순서대로 주어진다. 각 줄에는 팀 ID i, 문제 번호 j, 획득한 점수 s를 나타내는 세 개의 정수가 주어진다. 여기서 1 ≤ i ≤ n, 1 ≤ j ≤ k, 0 ≤ s ≤ 100이다. 

출력

출력은 표준출력을 사용한다. 주어진 각 테스트 데이터에 대해 당신 팀의 순위를 한 줄에 출력하여야 한다

예제 입력 1

2
3 4 3 5
1 1 30
2 3 30
1 2 40
1 2 20
3 1 70
4 4 1 10
1 1 50
2 1 20
1 1 80
3 1 0
1 2 20
2 2 10
4 3 0
2 1 0
2 2 100
1 4 20

예제 출력 1

1
2
[{"problem_id":"3758","problem_lang":"0","title":"KCPC","description":"<p>\ub2f9\uc2e0\uc740 \uc720\uba85 \ud504\ub85c\uadf8\ub798\ubc0d \ub300\ud68c\uc778 KCPC(Korean Collegiate Programming Contest)\uc5d0 \ucc38\uac00\ud558\uace0 \uc788\ub2e4. \uc774 \ub300\ud68c\uc5d0\uc11c \ucd1d k\uac1c\uc758 \ubb38\uc81c\ub97c \ud480\uac8c \ub418\ub294\ub370, \uc5b4\ub5a4 \ubb38\uc81c\uc5d0 \ub300\ud55c \ud480\uc774\ub97c \uc11c\ubc84\uc5d0 \uc81c\ucd9c\ud558\uba74 \uadf8 \ubb38\uc81c\uc5d0 \ub300\ud574 0\uc810\uc5d0\uc11c 100\uc810 \uc0ac\uc774\uc758 \uc810\uc218\ub97c \uc5bb\ub294\ub2e4. \ud480\uc774\ub97c \uc81c\ucd9c\ud55c \ud300\uc758 ID, \ubb38\uc81c \ubc88\ud638, \uc810\uc218\uac00 \uc11c\ubc84\uc758 \ub85c\uadf8\uc5d0 \uc81c\ucd9c\ub418\ub294 \uc2dc\uac04 \uc21c\uc11c\ub300\ub85c \uc800\uc7a5\ub41c\ub2e4. \ud55c \ubb38\uc81c\uc5d0 \ub300\ud55c \ud480\uc774\ub97c \uc5ec\ub7ec \ubc88 \uc81c\ucd9c\ud560 \uc218 \uc788\ub294\ub370, \uadf8 \uc911 \ucd5c\uace0 \uc810\uc218\uac00 \uadf8 \ubb38\uc81c\uc5d0 \ub300\ud55c \ucd5c\uc885 \uc810\uc218\uac00 \ub41c\ub2e4. (\ub9cc\uc57d \uc5b4\ub5a4 \ubb38\uc81c\uc5d0 \ub300\ud574 \ud480\uc774\ub97c \ud55c\ubc88\ub3c4 \uc81c\ucd9c\ud558\uc9c0 \uc54a\uc558\uc73c\uba74 \uadf8 \ubb38\uc81c\uc5d0 \ub300\ud55c \ucd5c\uc885 \uc810\uc218\ub294 0\uc810\uc774\ub2e4.)&nbsp;<\/p>\r\n\r\n<p>\ub2f9\uc2e0 \ud300\uc758 \ucd5c\uc885 \uc810\uc218\ub294 \uac01 \ubb38\uc81c\uc5d0 \ub300\ud574 \ubc1b\uc740 \uc810\uc218\uc758 \ucd1d\ud569\uc774\uace0, \ub2f9\uc2e0\uc758 \uc21c\uc704\ub294 (\ub2f9\uc2e0 \ud300\ubcf4\ub2e4 \ub192\uc740 \uc810\uc218\ub97c \ubc1b\uc740 \ud300\uc758 \uc218)+1 \uc774\ub2e4.&nbsp;<\/p>\r\n\r\n<p>\uc810\uc218\uac00 \ub3d9\uc77c\ud55c \ud300\uc774 \uc5ec\ub7ff \uc788\uc744 \uc218 \uc788\ub294\ub370, \uadf8 \uacbd\uc6b0\uc5d0\ub294 \ub2e4\uc74c \uaddc\uce59\uc5d0 \uc758\ud574\uc11c \uc21c\uc704\uac00 \uc815\ud574\uc9c4\ub2e4.&nbsp;<\/p>\r\n\r\n<ol>\r\n\t<li>\ucd5c\uc885 \uc810\uc218\uac00 \uac19\uc740 \uacbd\uc6b0, \ud480\uc774\ub97c \uc81c\ucd9c\ud55c \ud69f\uc218\uac00 \uc801\uc740 \ud300\uc758 \uc21c\uc704\uac00 \ub192\ub2e4.&nbsp;<\/li>\r\n\t<li>\ucd5c\uc885 \uc810\uc218\ub3c4 \uac19\uace0 \uc81c\ucd9c \ud69f\uc218\ub3c4 \uac19\uc740 \uacbd\uc6b0, \ub9c8\uc9c0\ub9c9 \uc81c\ucd9c \uc2dc\uac04\uc774 \ub354 \ube60\ub978 \ud300\uc758 \uc21c\uc704\uac00 \ub192\ub2e4.&nbsp;<\/li>\r\n<\/ol>\r\n\r\n<p>\ub3d9\uc2dc\uc5d0 \uc81c\ucd9c\ub418\ub294 \ud480\uc774\ub294 \uc5c6\uace0, \ubaa8\ub4e0 \ud300\uc774 \uc801\uc5b4\ub3c4 \ud55c \ubc88\uc740 \ud480\uc774\ub97c \uc81c\ucd9c\ud55c\ub2e4\uace0 \uac00\uc815\ud558\ub77c.&nbsp;<\/p>\r\n\r\n<p>\uc11c\ubc84\uc758 \ub85c\uadf8\uac00 \uc8fc\uc5b4\uc84c\uc744 \ub54c, \ub2f9\uc2e0 \ud300\uc758 \uc21c\uc704\ub97c \uacc4\uc0b0\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\r\n","input":"<p>\uc785\ub825 \ub370\uc774\ud130\ub294 \ud45c\uc900 \uc785\ub825\uc744 \uc0ac\uc6a9\ud55c\ub2e4. \uc785\ub825\uc740 T\uac1c\uc758 \ud14c\uc2a4\ud2b8 \ub370\uc774\ud130\ub85c \uad6c\uc131\ub41c\ub2e4. \uc785\ub825\uc758 \uccab \ubc88\uc9f8 \uc904\uc5d0\ub294 \ud14c\uc2a4\ud2b8 \ub370\uc774\ud130\uc758 \uc218\ub97c \ub098\ud0c0\ub0b4\ub294 \uc815\uc218 T\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \ud14c\uc2a4\ud2b8 \ub370\uc774\ud130\uc758 \uccab \ubc88\uc9f8 \uc904\uc5d0\ub294 \ud300\uc758 \uac1c\uc218 n, \ubb38\uc81c\uc758 \uac1c\uc218 k, \ub2f9\uc2e0 \ud300\uc758 ID t, \ub85c\uadf8 \uc5d4\ud2b8\ub9ac\uc758 \uac1c\uc218 m\uc744 \ub098\ud0c0\ub0b4\ub294 4 \uac1c\uc758 \uc815\uc218\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc5ec\uae30\uc11c, 3 &le; n, k &le; 100, 1 &le; t &le; n, 3 &le; m &le; 10,000\uc774\ub2e4. \uadf8 \ub2e4\uc74c m\uac1c\uc758 \uc904\uc5d0\ub294 \uac01 \ud480\uc774\uc5d0 \ub300\ud55c \uc815\ubcf4\uac00 \uc81c\ucd9c\ub418\ub294 \uc21c\uc11c\ub300\ub85c \uc8fc\uc5b4\uc9c4\ub2e4. \uac01 \uc904\uc5d0\ub294 \ud300 ID i, \ubb38\uc81c \ubc88\ud638 j, \ud68d\ub4dd\ud55c \uc810\uc218 s\ub97c \ub098\ud0c0\ub0b4\ub294 \uc138 \uac1c\uc758 \uc815\uc218\uac00 \uc8fc\uc5b4\uc9c4\ub2e4. \uc5ec\uae30\uc11c 1 &le; i &le; n, 1 &le; j &le; k, 0 &le; s &le; 100\uc774\ub2e4.&nbsp;<\/p>\r\n","output":"<p>\ucd9c\ub825\uc740 \ud45c\uc900\ucd9c\ub825\uc744 \uc0ac\uc6a9\ud55c\ub2e4. \uc8fc\uc5b4\uc9c4 \uac01 \ud14c\uc2a4\ud2b8 \ub370\uc774\ud130\uc5d0 \ub300\ud574 \ub2f9\uc2e0 \ud300\uc758 \uc21c\uc704\ub97c \ud55c \uc904\uc5d0 \ucd9c\ub825\ud558\uc5ec\uc57c \ud55c\ub2e4<\/p>\r\n","hint":"","original":"0","problem_lang_code":"\ud55c\uad6d\uc5b4"},{"problem_id":"3758","problem_lang":"1","title":"KCPC","description":"<p>You are participating in the prestigious programming competition called KCPC (Korean Collegiate Programming Contest). You are supposed to solve k problems and for each problem you get between 0 and 100 points each time you submit your solution to the server. The submission is done electronically and the server maintains a log in order of submission time. The log includes your team ID, the problem number, and your score. For any problem you can submit your solution several times and you get the greatest points among your submissions. (For a problem, you get 0 points if you make no submission for the problem.)&nbsp;<\/p>\r\n\r\n<p>Your final score is simply the sum of the points you earned and your ranking is (the number of teams with higher score than yours) + 1.&nbsp;<\/p>\r\n\r\n<p>However, there may be two or more teams with the same score and the tie is broken by applying the ground rules in the following order.&nbsp;<\/p>\r\n\r\n<ol>\r\n\t<li>If the final scores are the same, the team with the smaller number of submissions in total wins.&nbsp;<\/li>\r\n\t<li>If both the final scores and the numbers of submission are the same, the team whose last submission is earlier wins.&nbsp;<\/li>\r\n<\/ol>\r\n\r\n<p>Assume that no two solutions are submitted at the same time and every team makes at least one submission.&nbsp;<\/p>\r\n\r\n<p>Given the log of the server, write a program to compute your ranking.<\/p>\r\n","input":"<p>Your program is to read from standard input. The input consists of T test cases. The number of test cases T is given in the first line of the input. Each test case starts with four integers, the number of teams n, the number of problems k, your team ID t, and the number of log entries m, where 3 &le; n,k &le; 100, 1 &le; t &le; n, and 3 &le; m &le; 10,000. In the following m lines, the information on submission is given in order of submission time. Each line contains three integers, team ID i, problem number j, and score s, where 1 &le; i &le; n, 1 &le; j &le; k, and 0 &le; s &le; 100.<\/p>\r\n","output":"<p>Your program is to write to standard output. Print exactly one line for each test case. The line should contain your ranking.&nbsp;<\/p>\r\n","hint":"","original":"1","problem_lang_code":"\uc601\uc5b4"}]