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The result is that building either the hash or the array is O(n).

Ah yes, I see.

If the data structures are big enough that they live on disk

While there are other data structures available to him (such as disk-based structures and tries), I chose to only speak about the ones he mentioned (hashes and arrays) due to time constraints.

Contrary to your final comment, it is the array that benefits more from duplicates. That is because if you're slightly clever in your merge sort, then eliminating lots of duplicates will reduce the size of your large passes, speeding up the sort.

You'll reduce the size of large passes you never have to do with a hash.

You'll speed up the sort you don't have to do with a hash.

With a hash, you never have to deal with more than $num_duplicates items. With an array, you'll deal with at least $num_duplicates items. I don't understand how come you say the array benefits more.


In reply to Re^3: mathematical proof by ikegami
in thread mathematical proof by donkeykong

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    [LanX]: Corion: come on, people are people! ;)
    [Corion]: Naah, I think it's still an OK show so far. Their new songs aren't exactly great, but I'm not going there for new material anyway ;)
    [marto]: I got the feeling from the last show that for big sections of it, they were not really into what they were doing
    [Corion]: LanX: Sure, they can bask in my Halo
    [marto]: more so than the previous show I saw
    [Corion]: marto: Well, I think they go a tour every two years and I think it's hard to even get a connection with the crowd at a 20k people concert... But maybe after this time I'll stop too ;)
    [Corion]: I still have to see the Pet Shop Boys live before they stop touring at all
    [marto]: yeah, I think that as a group creatively they're done. I can understand how it'd be hard to stop the process, album/tour, album/tour, if that's pretty much all you've ever done :)
    [marto]: Corion yes I saw them Pandemonium_Tour
    [Corion]: marto: Yeah, and I doubt that they'll ever get back to something like Violator/Songs of Faith and Devotion - it would either alienate their "regular" crowd, or be "too much Violator" ;)

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