Hash Tables and Ordered Operations
Hash Tables are optimized for equality-based lookup rather than ordering. Hashing intentionally distributes keys across buckets, so neighboring key values generally have no neighboring physical locations. Therefore operations such as finding the minimum, maximum, predecessor, successor, or iterating in sorted order are not naturally efficient.
Equality lookup is expected O(1).
Finding min/max generally requires scanning all keys: O(n).
Sorted iteration requires sorting keys, typically O(n log n).
A balanced search tree provides ordered operations in O(log n).
A specialized ordered data structure should be chosen when range queries or ordering are first-class requirements.