시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB391197071425.464%

문제

전대프연 대회에서 문제를 푼 팀은 풍선을 받게 된다. 풍선은 사람이 직접 달아주기 때문에 자원 봉사자가 필요하다.

풍선은 방 A와 방 B에 보관되어 있다. 대회에 참가한 팀의 수는 총 N개이고, 앉아있는 자리는 서로 다르다. 어떤 팀은 방 A에 가깝고, 어떤 팀은 B에 더 가깝다. 

각 팀에게 달아줘야 하는 풍선의 수와 방 A와 B로부터의 거리가 주어진다. 이때, 모든 풍선을 달아주는데 필요한 이동 거리의 최솟값을 출력한다. 대회에서 풍선을 달아주는 사람은 매우 많고, 풍선은 한 가지 색상을 여러 개 달아준다고 가정한다. 풍선을 달기 위해 이동해야하는 거리는 팀이 A와 B로부터 떨어진 거리와 같다. 풍선을 달아주는 사람은 한 번에 풍선 하나만 들고 이동할 수 있다.

입력

입력은 여러 개의 테스트 케이스로 이루어져 있다. 각 테스트 케이스의 첫째 줄에는 팀의 수 N(1 ≤ N ≤ 1,000)과 방 A와 B에 보관되어있는 풍선의 수 A, B가 주어진다. (0 ≤ A, B ≤ 10,000) 

다음 N개 줄에는 팀에게 달아줘야하는 풍선의 수 K와 방 A로부터 떨어진 거리 DA, B로부터 떨어진 거리 DB (0 ≤ DA, DB ≤ 1,000)가 주어진다. 풍선이 부족한 경우는 없다. 즉, Σi Ki ≤ A+B.

입력의 마지막 줄에는 0이 세 개 주어진다.

출력

각 테스트 케이스에 대해서, 모든 팀에게 풍선을 달아주기 위해 필요한 이동 거리의 최솟값을 한 줄에 하나씩 출력한다. 이때, 풍선을 달아주고 방 A나 B로 돌아오는 거리는 포함하지 않는다. 즉, 방 A와 B에서 팀으로 이동하는 거리만 포함한다.

예제 입력 1

3 15 35
10 20 10
10 10 30
10 40 10
0 0 0

예제 출력 1

300
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

출처

ICPC > Regionals > North America > Mid-Atlantic Regional > 2010 Mid-Atlantic Regional Programming Contest B번