Check if Strings Can be Made Equal With Operations I - Complete Solution Guide
Check if Strings Can be Made Equal With Operations I is LeetCode problem 2839, a Easy level challenge. This complete guide provides step-by-step explanations, multiple solution approaches, and optimized code in python3, java, cpp, c.
Problem Statement
You are given two strings s1 and s2 , both of length 4 , consisting of lowercase English letters. You can apply the following operation on any of the two strings any number of times: Choose any two indices i and j such that j - i = 2 , then swap the two characters at those indices in the string. Return true if you can make the strings s1 and s2 equal, and false otherwise . Example 1: Input: s1 = "abcd", s2 = "cdab" Output: true Explanation: We can do the following operations on s1: - Choose the
Detailed Explanation
The problem asks whether two strings, `s1` and `s2`, both of length 4, can be made equal using a specific operation. The operation allows swapping two characters at indices `i` and `j` where `j - i = 2`. This means you can swap characters at indices (0, 2) and (1, 3). The goal is to determine if, after applying this operation any number of times to either string, `s1` and `s2` can become identical. The strings consist only of lowercase English letters.
Solution Approach
The solution efficiently separates even and odd indexed characters from both strings. It then sorts these character pairs independently for both strings and compares the sorted results. If the sorted even-indexed characters are identical and the sorted odd-indexed characters are identical, the strings can be made equal; otherwise, they cannot.
Step-by-Step Algorithm
- Step 1: Extract even-indexed characters (indices 0 and 2) into separate strings (`s1_even`, `s2_even`) and odd-indexed characters (indices 1 and 3) into separate strings (`s1_odd`, `s2_odd`).
- Step 2: Sort the characters within `s1_even`, `s1_odd`, `s2_even`, and `s2_odd`.
- Step 3: Compare the sorted even-indexed character strings (`s1_even` and `s2_even`) and the sorted odd-indexed character strings (`s1_odd` and `s2_odd`).
- Step 4: Return `true` if both comparisons result in equality; otherwise, return `false`.
Key Insights
- Insight 1: The allowed swaps only affect pairs of characters at even and odd indices separately. Characters at index 0 and 2 can be swapped amongst themselves, and characters at index 1 and 3 can be swapped amongst themselves. They cannot be mixed.
- Insight 2: The problem boils down to checking if the sorted pairs of even-indexed characters and odd-indexed characters are the same in both strings.
- Insight 3: The strings are of fixed length 4, making the algorithm's time complexity constant. No complex data structures are needed.
Complexity Analysis
Time Complexity: O(1)
Space Complexity: O(1)
Topics
This problem involves: String.
Companies
Asked at: Citrix.