Generate all unique substrings for given string

Posted by Yuval A on Stack Overflow See other posts from Stack Overflow or by Yuval A
Published on 2010-04-01T12:28:07Z Indexed on 2010/04/01 12:43 UTC
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Filed under:

algorithm

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language-agnostic

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homework

Given a string s, what is the fastest method to generate a set of all its unique substrings?

Example: for str = "aba" we would get substrs={"a", "b", "ab", "ba", "aba"}.

The naive algorithm would be to traverse the entire string generating substrings in length 1..n in each iteration, yielding an O(n^2) upper bound.

Is a better bound possible?

(this is technically homework, so pointers-only are welcome as well)

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