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LeetCode 647's Expand-Around-Centers: Tracing Palindromes That Unravel Strings

LeetCode 647 hits you with 'babad' and asks: how many palindromic substrings lurk inside? The expand-around-centers trick counts them all in O(n²), no extra space wasted.

Step-by-step visual trace of expand around centers algorithm for LeetCode 647 palindromic substrings

⚡ Key Takeaways

  • Expand-around-centers counts all palindromic substrings in O(n²) time with O(1) space by treating every position as a potential center. 𝕏
  • Each expansion layer adds one palindrome, uniquely attributing them to centers to avoid overlaps. 𝕏
  • Master this for interviews — it's the foundation for longest palindrome and beyond, intuitive over Manacher's complexity. 𝕏
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Originally reported by Dev.to

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