Two Substrings

Description:

Input:

The only line of input contains a string s of length between 1 and 10⁵ consisting of uppercase Latin letters.

Output:

Print "YES" (without the quotes), if string s contains two non-overlapping substrings "AB" and "BA", and "NO" otherwise.

Sample Input:

ABA

Sample Output:

NO

Sample Input:

BACFAB

Sample Output:

YES

Sample Input:

AXBYBXA

Sample Output:

NO

Note:

In the first sample test, despite the fact that there are substrings "AB" and "BA", their occurrences overlap, so the answer is "NO".

In the second sample test there are the following occurrences of the substrings: BACFAB.

In the third sample test there is no substring "AB" nor substring "BA".