i think that if you implement the elements of a string in set you can find
its children easily (specially if you map each set to the real strings) in
O( n . max length of a string . d)
where n is the number of strings and d is running time of set.delete()
after making the graph since the maximum chain of ancestors starting from a
node is unique so you can find the overall longest chain of ancestors in O(
n ) using memoization or dp

plz correct me if I'm wrong

On Sun, Jun 20, 2010 at 2:50 PM, sharad <sharad20073...@gmail.com> wrote:

> Given a dictionary of words, find out the longest chain of 'ancestors'
> in it. Ancestors are defined in the following way: A word is said to
> be the parent of another word if
>     1) It is a valid word in the dictionary
>     2) It can be obtained by deleting one character of the word and
> permuting the remaining characters.
>     eg. run is a parent of urns
>    A possible chain of ancestors could be:
>    a
>    an
>    ban
>    nabs
>    bands
> This chain is of length 4. What is the length of the longest chain in
> a given dictionary?
>
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