Sorting Sequences of Strings

Input

An ordered sequence [math]\displaystyle{ S }[/math] of length [math]\displaystyle{ n \in \mathbb{N}_{0} }[/math] and component type string over some alphabet [math]\displaystyle{ \Sigma }[/math].

Output

A permutation of [math]\displaystyle{ S }[/math] such that, for [math]\displaystyle{ i \in \{1,...,n-1\} }[/math], [math]\displaystyle{ S[i] }[/math] is not lexicographically larger than [math]\displaystyle{ S[i+1] }[/math].

Objective

N/A

Complexity

Linear in the total sum of all string lengths.

Known algorithms

Bucketsort