시간 제한메모리 제한제출정답맞힌 사람정답 비율
1 초 1024 MB214140532821.867%

문제

KSAAC 운영진은 모두 KSA를 사랑하기 때문에 다음과 같은 조건을 만족하는 문자열을 좋아한다.

문자열의 길이를 $N$이라고 할 때, $1\leq i\leq N$인 모든 $i$에 대하여

  • $i$를 $3$으로 나눈 나머지가 $1$이면 $i$번째 문자는 K이다.
  • $i$를 $3$으로 나눈 나머지가 $2$이면 $i$번째 문자는 S이다.
  • $i$를 $3$으로 나눈 나머지가 $0$이면 $i$번째 문자는 A이다.

문자열에는 다음과 같은 시행을 $0$회 이상 수행할 수 있다.

  • 존재하는 아무 문자를 한 개 제거한다.
  • 맨 앞에 아무 문자를 한 개 추가한다.
  • 맨 뒤에 아무 문자를 한 개 추가한다.

주어진 문자열 $X$에 적절한 시행을 하여 $X$를 $X$와 길이가 같으면서 KSAAC 운영진이 좋아하는 문자열로 바꾸려고 한다. 이때 필요한 시행의 최소 횟수를 구하여라.

입력

첫 번째 줄에 문자열 $X$가 주어진다.

출력

문자열 $X$를 $X$와 길이가 같으면서 KSAAC 운영진이 좋아하는 문자열로 바꾸기 위한 최소 시행 횟수를 출력한다.

제한

  • $1\le |X|\le 5\times 10^5$
  • $X_i \in \{$K$,$S$,$A$\}$

서브태스크

번호배점제한
110

$X$의 모든 문자가 동일

230

$|X| \geq 3$; $X$는 KSA로 시작

360

추가 제약 조건 없음

예제 입력 1

KKSKASKA

예제 출력 1

8
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

채점 및 기타 정보

  • 예제는 채점하지 않는다.