I went straight to a sorted set per listing and tried to think through the split point scan linearly.
Start by clarifying the problem constraints and defining an efficient representation for each listing's availability, such as a set of available dates or a sorted list of intervals. Then, for each listing, determine the longest contiguous prefix of the requested range it can cover, and for each possible split point, check if another listing can cover the remaining suffix. Use hash maps or interval trees to enable O(1) or O(log n) lookups for suffix availability, and iterate over all listings to collect distinct ordered pairs.
Pro tip: Emphasize that the split point must be exactly at a date boundary where the first listing's availability ends and the second's begins, and that you should precompute prefix and suffix coverage for each listing to avoid redundant checks. Also, mention that handling edge cases like full-range coverage by a single listing or no valid split is crucial for a robust solution.
Ask about input size, date granularity, whether listings can cover the entire range alone, and if pairs must be distinct. Confirm that the split must be contiguous with no gaps or overlaps.
Represent each listing's availability as a set of dates (e.g., hash set) or as sorted intervals. For fast prefix/suffix checks, precompute for each listing the earliest and latest dates it can cover within the range.
For each listing, find the longest contiguous prefix of [start, end] it can cover, and similarly the longest contiguous suffix. This can be done by scanning the range or using interval merging.
For each listing A, consider each possible split point where A's prefix ends. Check if there exists a listing B (B ≠ A) that can cover the suffix starting at that split point. Use a hash map from start date to listings that can cover a suffix starting there.
Gather all valid (A, B) pairs, ensuring they are distinct and ordered. Use a set to avoid duplicates if multiple split points yield the same pair.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.