Find the Longest Balanced Substring of a Binary String — LeetCode 2609 Python Solution

EasyString
Problem
#2609
Pattern
Hash Map
Reading time
3 min

The problem

You are given a binary string s consisting only of zeroes and ones. A substring of s is considered balanced if all zeroes are before ones and the number of zeroes is equal to the number of ones inside the substring.

Example

Input
s = "01000111"
Output
6
Explanation
The longest balanced substring is "000111", which has length 6.

Python solution

Python
class Solution:
    def findTheLongestBalancedSubstring(self, s: str) -> int:
        def check(i, j):
            cnt = 0
            for k in range(i, j + 1):
                if s[k] == '1':
                    cnt += 1
                elif cnt:
                    return False
            return cnt * 2 == (j - i + 1)

        n = len(s)
        ans = 0
        for i in range(n):
            for j in range(i + 1, n):
                if check(i, j):
                    ans = max(ans, j - i + 1)
        return ans

Complexity

MeasureComplexity
TimeO(n^3)
SpaceO(1) auxiliary

Pattern: Hash Map

Trade memory for time: remember what you have seen so the second pass never happens. LeetCode 2609. Find the Longest Balanced Substring of a Binary String is filed here because the reference solution below belongs to the algorithm family this hub collects, even though its LeetCode tags point elsewhere.

The hash map guide has the Python template for the pattern and the 709 LeetCode problems that use it.

Related problems

Frequently asked questions

How hard is LeetCode 2609. Find the Longest Balanced Substring of a Binary String?
LeetCode 2609. Find the Longest Balanced Substring of a Binary String is rated Easy on LeetCode.
What is the time complexity of LeetCode 2609. Find the Longest Balanced Substring of a Binary String?
The Python solution on this page runs in O(n^3).
What is the space complexity of LeetCode 2609. Find the Longest Balanced Substring of a Binary String?
The Python solution on this page uses O(1) auxiliary space.
What topics does LeetCode 2609. Find the Longest Balanced Substring of a Binary String cover?
LeetCode 2609. Find the Longest Balanced Substring of a Binary String is tagged String on LeetCode.

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