Igor Stasenko wrote:
> 
> Err, your thoughts went in wrong direction.
> Let me simplify the goal of perfect hashing:
> - suppose you having N unique integer numbers, without strictly
> specified range (any number could lie in range 0..infinity).
> - now we need to find a function such that, for each element 'x' in
> the above finite set, following conditions met:
> 
> 0 <= f(x) < k*N
> 
> and for each pair of two different elements x , y in original set
>   f(x) <> f(y)
> 
> and k < infinity
> 
> As you can see , this function maps an arbitrary integer values
> without specific range, to an
> integer values in range [0..k*N], (k>=1).
> Given that we need to deal with a limited number of elemens for each
> particular set of numbers, such function can be found.
> We just need to search for an optimal (minimal) k, which is < 2 and in
> perfect case == 1.
> 

Hi Igor,

Yes, you have defined a perfect hash function nicely, and that is the 
definition I was assuming in my previous comments.

And even if you find a perfect hash function for a given set of objects, 
  the situations in which the resulting collection is useful are quite 
limited, which was the main idea behind my comments.

Unless I've missed something?

Regards,

-Martin

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