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1 초 (추가 시간 없음) 1024 MB88655473.973%

문제

In this problem we will be dealing with character sequences, often called strings. A sequence is non-trivial if it contains at least two elements.

Given a sequence $s$, we say that a chunk $s_i , \dots , s_j$ is monotone if all its characters are equal, and we say that it is maximal if this chunk cannot be extended to left or right without losing the monotonicity.

Given a sequence composed only of characters “a” and “b”, determine how many characters “a” occur in non-trivial maximal monotone chunks.

입력

The input consists of two lines. The first line contains a single integer $N$, where $1 ≤ N ≤ 10^5$. The second line contains a string with exactly $N$ characters, composed only of the characters “a” and “b”.

출력

Print a single line containing an integer representing the total number of times the character “a” occurs in non-trivial maximal monotone chunks.

예제 입력 1

7
abababa

예제 출력 1

0

예제 입력 2

7
bababab

예제 출력 2

0

예제 입력 3

10
aababaaabb

예제 출력 3

5

예제 입력 4

10
bbaababaaa

예제 출력 4

5