← Bytedance Interview Insights
Use a greedy approach with two passes: first left-to-right treating '*' as '(' to ensure no prefix has more ')' than available '(' and '*', then right-to-left treating '*' as ')' to ensure no suffix has more '(' than available ')' and '*'. Alternatively, maintain a range of possible open counts (minOpen, maxOpen) in one pass, ensuring minOpen never negative and maxOpen non-negative at end.
Pro tip: Clarify with the interviewer whether '*' can be chosen independently for each occurrence, and mention that the range method is more space-efficient and can be done in one pass.
Restate the problem: given a string with '(', ')', and '*', where '*' can be '(', ')', or empty, determine if it can be a valid parentheses sequence. Confirm that '*' choices are independent.
Decide between two-pass greedy or single-pass range method. Explain the chosen approach and why it works.
For two-pass: traverse left-to-right, count balance treating '*' as '('; if balance negative, return false. Then traverse right-to-left, treating '*' as ')'; if balance negative, return false. For range method: maintain minOpen and maxOpen, update based on character, ensure minOpen >= 0, and at end minOpen == 0.
State time complexity O(n) and space complexity O(1) for both approaches.
Walk through examples like '()', '(*)', '(*))', '((*' to verify correctness and edge cases.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
Clarify the problem: given a string with '*' wildcards, replace each '*' with '(', ')', or empty string, and enumerate all distinct valid strings. Use DFS/backtracking to explore all possibilities, pruning branches that cannot lead to valid strings (e.g., negative balance or impossible to close). After generating, deduplicate results and test with custom cases including edge cases like empty string, no '*', and multiple '*'.
Pro tip: Demonstrate strong testing discipline by writing test cases that cover edge cases (empty string, all '*', unbalanced parentheses) and verifying outputs, including checking for duplicates and validity. This shows you think about correctness and robustness, not just the algorithm.
Confirm what 'valid' means (balanced parentheses, possibly empty string), whether the input can contain other characters, and if the output should be sorted or deduplicated. Ask about input size to discuss complexity.
At each '*', branch into three choices: '(', ')', or skip. Maintain a balance counter (open minus close) and prune if balance < 0 or if remaining characters cannot possibly balance (e.g., balance > remaining length).
Recursively build the string. When reaching the end, if balance == 0, add to a set to avoid duplicates. Alternatively, sort and skip duplicates during recursion if input has repeated patterns.
Create tests: empty string, no '*', single '*', multiple '*', and cases with existing parentheses. Manually compute expected outputs for small cases and compare. Also test performance for larger inputs.
Discuss time complexity: O(3^k) where k is number of '*', but pruning reduces it. Space: O(k) recursion depth plus output size. Mention trade-offs between deduplication methods (set vs. sorting).
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.