시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 128 MB58181435.000%

문제

비행기에 탑승하고 좌석을 찾고 있는 승객들과 행을 따라 단 하나의 복도(열)가 있는 비행기를 상상해보자.

각 승객은 반드시 좌석에 앉아야 하며, 비행기 탑승구는 첫 번째 좌석 행 바로 앞에 있다. 승객은 불필요한 정지 없이 순차적으로 진입하고 있다.

승객은 복도를 걷고 있으며, 각 열에서 승객은 자신의 행에 도착할 때까지 정확히 1초씩 소비하며 전진한다. (그 앞에 다른 승객이 있는 경우 더 머문다.) 자신에 행에 도착한 순간부터 짐을 넣기 위해 5초를 소비한다.

복도의 각 행에는 한 명의 승객만 있을 수 있다. 비행기가 이륙하기 위해 준비하는 시간 즉, 모든 승객이 좌석에 앉는 데 필요한 시간을 계산하는 프로그램을 만들어보자.

입력

입력의 첫 줄에는 승객 수 N, (1 ≤ N ≤ 1000)가 주어진다. 그 다음 줄부터 각 승객이 앉아야 하는 좌석의 행 R이 주어진다. ( 1 ≤ R ≤ 1000)이 주어진다.

승객은 1에서 N까지 숫자로 숫자가 매겨지고 그 순서대로 입력된다. 같은 열에 앉는 승객의 수는 제한되지 않는다.

출력

출력 첫 줄에는 모든 승객이 좌석에 앉는 데 필요한 시간 (초)를 나타낸다.

예제 입력 1

1
3

예제 출력 1

7

예제 입력 2

2
3
3

예제 출력 2

12

예제 입력 3

4
4
4
1
5

예제 출력 3

19

힌트

4행으로 향하는 승객 바로 뒤에 1행으로 출발하는 승객이 있다면, 먼저 짐을 싣고, 앉을 수 있다!

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