1653. Minimum Deletions to Make String Balanced

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Problem

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:

Solution (Java)

class Solution {
    public int minimumDeletions(String s) {
        int a = 0;
        int b = 0;
        for (char ch : s.toCharArray()) {
            if (ch == 'a') {
                a++;
            } else {
                b = Math.max(a, b) + 1;
            }
        }

        return s.length() - Math.max(a, b);
    }
}

Explain:

nope.

Complexity: