시간 제한메모리 제한제출정답맞힌 사람정답 비율
2 초 512 MB88949027352.000%

문제

베시는 스마트폰 게임을 좋아한다. 요즘은 한 게임을 재미있게 즐기고 있다. 이 게임에서는 1 이상 40 이하의 정수 N(2 ≤ N ≤ 262,144)개로 이루어진 수열이 주어진다. 연속된 두 수가 같으면 합쳐서 기존의 수보다 1 큰 수를 만들 수 있다. (예를 들어, 7이 두 개 연속되어 있으면 8로 합칠 수 있다.)

게임의 목표는 가장 큰 수를 만드는 것이다. 베시를 도와서 가능한 한 큰 수를 만들어 보자.

입력

첫 번째 줄에 N이 입력된다. 두 번째 줄부터 N줄에 걸쳐 정수가 입력된다.

출력

만들 수 있는 가장 큰 수를 출력하라.

예제 입력 1

4
1
1
1
2

예제 출력 1

3

힌트

이 예제에서는 두 번째와 세 번째 1을 합쳐서 수열 1 2 2를 만들고, 두 개의 2를 합쳐서 3을 만들 수 있다. 첫 번째와 두 번째 1을 합치는 것은 최적이 아님에 유의하라.

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출처

Olympiad > USA Computing Olympiad > 2015-2016 Season > USACO US Open 2016 Contest > Platinum 1번