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The Implicit Accumulator: a design pattern using optional arguments
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Date: 2007-06-27 (21:04)
From: Pal-Kristian Engstad <pal_engstad@n...>
Subject: Re: [Caml-list] Book about functional design patterns
Quc Peyrot wrote:
> I don't understand that part. Each time you add a node, log2(n) node 
> needs to be re-allocated. Hence the total number of reallocations is:
> Sum(ceil(log2(i)), i = 1..N) with N = 1000000, which is significant.
So you are saying that inserting N elements into a tree takes O(n*log2(n)).
> Where is my mistake in these maths?
No mistake. After all, after insertion you essentially have a sorted 
tree, since iterating the tree takes O(n). Sorting take O(n*log n)...



Pl-Kristian Engstad (, Lead Graphics & Engine Programmer,  
"Uncharted"-team, Naughty Dog, Inc., 1601 Cloverfield Blvd, 6000 North,
Santa Monica, CA 90404, USA. Ph.: (310) 633-9112.

"Most of us would do well to remember that there is a reason Carmack
is Carmack, and we are not Carmack.",
                       Jonathan Blow, 2/1/2006, GD Algo Mailing List