Recall the definition of stable sorting: a sorting algorithm is said to be stable when elements...

Recall the definition of stable sorting:

a sorting algorithm is said to be stable when
elements with equal keys (after the sorting is complete)
remain in the same order as they were in the input (before the sorting).

Answer the following:

Is Radix Sort stable, and why?
Show an example: start from 10 random integer numbers (of at least 2 digits per integer number) to be sorted, where at least 2 of those 10 elements need to have equal keys;
then show how Radix Sort sorts those elements, by writing down the intermediate ordering at every step of the algorithm;
finally, compare the input and output elements, showing whether Radix Sort satisfied the stable property or not.

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