시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 256 MB5457414871977426.964%

문제

히스토그램은 직사각형 여러 개가 아래쪽으로 정렬되어 있는 도형이다. 각 직사각형은 같은 너비를 가지고 있지만, 높이는 서로 다를 수도 있다. 예를 들어, 왼쪽 그림은 높이가 2, 1, 4, 5, 1, 3, 3이고 너비가 1인 직사각형으로 이루어진 히스토그램이다.

히스토그램에서 가장 넓이가 큰 직사각형을 구하는 프로그램을 작성하시오.

입력

입력은 테스트 케이스 여러 개로 이루어져 있다. 각 테스트 케이스는 한 줄로 이루어져 있고, 직사각형의 수 n이 가장 처음으로 주어진다. (1 ≤ n ≤ 100,000) 그 다음 n개의 정수 h1, ..., hn (0 ≤ hi ≤ 1,000,000,000)가 주어진다. 이 숫자들은 히스토그램에 있는 직사각형의 높이이며, 왼쪽부터 오른쪽까지 순서대로 주어진다. 모든 직사각형의 너비는 1이고, 입력의 마지막 줄에는 0이 하나 주어진다.

출력

각 테스트 케이스에 대해서, 히스토그램에서 가장 넓이가 큰 직사각형의 넓이를 출력한다.

예제 입력 1

7 2 1 4 5 1 3 3
4 1000 1000 1000 1000
0

예제 출력 1

8
4000
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