minimum-deletions-to-make-string-balanced

minimum-deletions-to-make-string-balanced


You are given a string s consisting only of characters 'a' and 'b'​​​​.



You can delete any number of characters in s to make s balanced. s is balanced if there is no pair of indices (i,j) such that i < j and s[i] = 'b' and s[j]= 'a'.



Return the minimum number of deletions needed to make s balanced.



 


Example 1:



Input: s = "aababbab"
Output: 2
Explanation: You can either:
Delete the characters at 0-indexed positions 2 and 6 ("aababbab" -> "aaabbb"), or
Delete the characters at 0-indexed positions 3 and 6 ("aababbab" -> "aabbbb").


Example 2:



Input: s = "bbaaaaabb"
Output: 2
Explanation: The only solution is to delete the first two characters.


 


Constraints:




  • 1 <= s.length <= 105

  • s[i] is 'a' or 'b'​​.


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