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1653. Minimum Deletions to Make String Balanced

MediumOpen on LeetCodeProblem statement

Problem Statement

1653. Minimum Deletions to Make String Balanced

Medium


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:

Java — dp

Source file
class Solution {
    public int minimumDeletions(String s) {
        char[] S = s.toCharArray();
        int n = S.length, prefixB = 0;
        int[] dp = new int[n + 1];
        for (int i = 0; i < n; i++) {
            if (S[i] == 'a')
                dp[i + 1] = Math.min(dp[i] + 1, prefixB);
            // delete 'a', delete all prefix 'b'(s)
            else {
                dp[i + 1] = dp[i];
                prefixB++;
            }
        }
        return dp[n];
    }
}