← Bytedance Interview Insights
Started with expand-around-center which felt safe, but then they asked me to keep going.
Start by clarifying the problem and constraints, then present the brute-force O(n^3) approach as a baseline. Progress to the expand-around-center O(n^2) method, followed by dynamic programming O(n^2) with O(n^2) space, and finally explain Manacher's algorithm for O(n) time. Compare trade-offs and discuss when each is appropriate.
Pro tip: Emphasize that while Manacher's is optimal, the expand-around-center approach is often preferred in practice due to simplicity and low constant factors. Mention that DP uses extra space and may not be ideal for very long strings.
Ask about input size, character set, and whether multiple palindromes of same length need handling. Confirm expected time/space constraints.
Describe O(n^3) brute-force checking all substrings. Then explain O(n^2) expand-around-center: for each center (2n-1 centers), expand while characters match.
Define dp[i][j] as whether substring i..j is palindrome. Recurrence: dp[i][j] = (s[i]==s[j] && dp[i+1][j-1]). Track longest. O(n^2) time and space.
Explain linear time O(n) algorithm using transformed string with separators, maintaining center and right boundary to avoid redundant expansions. Compute radii and extract longest palindrome.
Discuss time/space complexity, implementation complexity, and practical considerations. Recommend expand-around-center for most interviews unless O(n) explicitly required.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.