What is the benefit for a sort algorithm to be stable?

Question

A sort is said to be stable if it maintains the relative order of elements with equal keys. I guess my question is really, what is the benefit of maintaining this relative o

Answer 1

You can't always compare all the fields at once. A couple of examples: (1) memory limits, where you are sorting a large disk file, and there isn't room for all the fields of all records in main memory; (2) Sorting a list of base class pointers, where some of the objects may be derived subclasses (you only have access to the base class fields).

Also, stable sorts have deterministic output given the same input, which can be important for debugging and testing.