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Leetcode #2546: Apply Bitwise Operations to Make Strings Equal

In this guide, we solve Leetcode #2546 Apply Bitwise Operations to Make Strings Equal in Python and focus on the core idea that makes the solution efficient.

You will see the intuition, the step-by-step method, and a clean Python implementation you can use in interviews.

Leetcode

Problem Statement

You are given two 0-indexed binary strings s and target of the same length n. You can do the following operation on s any number of times: Choose two different indices i and j where 0 <= i, j < n.

Quick Facts

  • Difficulty: Medium
  • Premium: No
  • Tags: Bit Manipulation, String

Intuition

The problem structure lets us track state with bitwise operations.

Bit operations are constant time and avoid extra memory.

Approach

Apply XOR/AND/OR and shifts to maintain the required invariant.

Aggregate the result in a single pass.

Steps:

  • Identify a bitwise invariant.
  • Combine values with bit operations.
  • Return the aggregated result.

Example

Input: s = "1010", target = "0110" Output: true Explanation: We can do the following operations: - Choose i = 2 and j = 0. We have now s = "0010". - Choose i = 2 and j = 1. We have now s = "0110". Since we can make s equal to target, we return true.

Python Solution

class Solution: def makeStringsEqual(self, s: str, target: str) -> bool: return ("1" in s) == ("1" in target)

Complexity

The time complexity is O(n)O(n)O(n), where nnn is the length of the string. The space complexity is O(1)O(1)O(1).

Edge Cases and Pitfalls

Watch for boundary values, empty inputs, and duplicate values where applicable. If the problem involves ordering or constraints, confirm the invariant is preserved at every step.

Summary

This Python solution focuses on the essential structure of the problem and keeps the implementation interview-friendly while meeting the constraints.


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