← Jane Street Interview Insights
Stack-based solution, pretty standard once you see it.
Use a stack to track the indices of opening braces as you iterate through the lines. When you encounter a closing brace, pop the top of the stack and record the mapping from the popped index to the current line index. This achieves a single pass with O(n) time and O(n) space.
Pro tip: Clarify assumptions upfront: whether braces are guaranteed to be balanced, whether lines can have braces in strings/comments, and whether the input is a list of strings or a single string. Handling edge cases like unbalanced braces gracefully shows attention to detail.
Ask about input format, brace balance guarantees, and whether braces can appear in comments or strings. Confirm that each line has at most one brace as its last character.
Select a stack to store indices of opening braces. This naturally handles nesting and ensures O(1) push/pop operations.
For each line index i, check the last character. If it's an opening brace, push i onto the stack. If it's a closing brace, pop from the stack and map the popped index to i.
If a closing brace appears with an empty stack, it's unbalanced; decide whether to ignore, raise an error, or handle as per requirements. After iteration, if stack is non-empty, there are unmatched opening braces.
Return the dictionary mapping opening brace indices to closing brace indices. Discuss time and space complexity: O(n) time, O(n) space in worst case.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
The independence requirement is what makes this genuinely tricky.
First, clarify the requirements and constraints, especially what 'fully independent' means for nested pairs. Then, propose a data structure that maps each brace pair to its own collapsed state, and design the toggle and getText methods to respect those states. Finally, discuss trade-offs and edge cases, such as performance and handling of malformed input.
Pro tip: Emphasize that independence means collapsing an outer pair should not affect inner pairs, and vice versa; this often requires storing state per pair rather than per nesting level. Also, mention that getText should reconstruct the string efficiently, possibly using a stack or tree traversal.
Ask questions to confirm what 'collapsed' means (e.g., replace with ellipsis or remove entirely) and how independence should behave for nested pairs. Confirm the interface: toggle(pairId) and getText().
Propose a structure to identify each brace pair uniquely (e.g., by start index) and store its collapsed state. Consider using a map from pair identifier to boolean, or augmenting a parse tree with state.
Describe how toggle flips the state for a given pair. For getText, outline an algorithm that traverses the original string or parse tree, skipping or replacing content of collapsed pairs while preserving others.
Discuss time and space complexity of toggle and getText. Compare approaches: precomputing a tree vs. on-the-fly parsing. Mention how independence affects the algorithm.
Address malformed input, overlapping pairs, and performance for large inputs. Suggest optimizations like lazy evaluation or caching.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.