Strings (Advanced Algo)
Advanced Problems (Less asked)
Hard
This type of problem is prevalent in the development of algorithms used in data compression, pattern recognition, and string matching
In the software industry, particularly in building search engines or plagiarism detectors, a common task is to find repeated strings or patterns
A real-world example is the KMP (Knuth-Morris-Pratt) algorithm, often used in the UNIX grep command, that searches for occurrences of a word within a main text string
This algorithm leverages the idea of happy prefixes to avoid backtracking - thus speeding up the search process
Given a string s, return the longest happy prefix of s. A happy prefix is a string that is both a proper prefix and a proper suffix.
If no such prefix exists, return an empty string "".
Examples:
Input: s = "ababab"
Output: "abab"
Explanation: "abab" is the longest prefix which is also suffix. They can overlap in the original string.
Input: s = "aaaa"
Output: "aaa"
Explanation: "aaa" is the longest prefix which is also a suffix in the string "aaaa".
Input: s = "abc"
Constraints
1 <= s.length <= 104
Hints
"Compute the LPS Array: The LPS array for s stores the length of the longest prefix that is also a suffix for each prefix of s. The last value in LPS gives the length of the longest happy prefix."
Extract the happy prefix: If lps[-1] > 0, return s[:lps[-1]]. Otherwise, return """".
Company Tags
Wayfair
Intel
American Express
Databricks
Epic Games
Western Digital
Mastercard
Etsy
PayPal
McKinsey & Company
Dropbox
Shopify
Texas Instruments
KPMG
JPMorgan Chase
Target
ARM
Red Hat
Electronic Arts
Philips Healthcare
Rockstar Games
Cloudflare
Docker
Square
Reddit
Google
Microsoft
Amazon
Meta
Apple
Netflix
Adobe
Editorial
Striver and the team have worked tirelessly over the past few days to bring this to you. Please bear with us a little more as we finalize everything.
Frequently Occurring Doubts
Q: Can we extend this approach to find multiple happy prefixes?
A: Yes! We can track all non-zero LPS values leading to multiple valid prefixes.
Interview Followup Questions
Q: How does this compare to Z-algorithm for pattern matching?
A: LPS (KMP) is best for prefix-suffix problems, while Z-algorithm is better for substring matching.